1,1,1,0,0.419955," ","integrate(0,x, algorithm=""maxima"")","0"," ",0,"0","A",0
2,1,1,0,0.414614," ","integrate(1,x, algorithm=""maxima"")","x"," ",0,"x","A",0
3,1,3,0,0.412535," ","integrate(5,x, algorithm=""maxima"")","5 \, x"," ",0,"5*x","A",0
4,1,3,0,0.418642," ","integrate(-2,x, algorithm=""maxima"")","-2 \, x"," ",0,"-2*x","A",0
5,1,3,0,0.421829," ","integrate(-3/2,x, algorithm=""maxima"")","-\frac{3}{2} \, x"," ",0,"-3/2*x","A",0
6,1,3,0,0.433820," ","integrate(pi,x, algorithm=""maxima"")","\pi x"," ",0,"pi*x","A",0
7,1,3,0,0.436286," ","integrate(a,x, algorithm=""maxima"")","a x"," ",0,"a*x","A",0
8,1,4,0,0.425504," ","integrate(3*a,x, algorithm=""maxima"")","3 \, a x"," ",0,"3*a*x","A",0
9,1,11,0,0.445171," ","integrate(pi/(16-exp(2))^(1/2),x, algorithm=""maxima"")","\frac{\pi x}{\sqrt{-e^{2} + 16}}"," ",0,"pi*x/sqrt(-e^2 + 16)","A",0
10,1,5,0,0.420951," ","integrate(x^100,x, algorithm=""maxima"")","\frac{1}{101} \, x^{101}"," ",0,"1/101*x^101","A",0
11,1,5,0,0.416218," ","integrate(x^3,x, algorithm=""maxima"")","\frac{1}{4} \, x^{4}"," ",0,"1/4*x^4","A",0
12,1,5,0,0.420429," ","integrate(x^2,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3}"," ",0,"1/3*x^3","A",0
13,1,5,0,0.415319," ","integrate(x,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2}"," ",0,"1/2*x^2","A",0
14,1,1,0,0.442003," ","integrate(1,x, algorithm=""maxima"")","x"," ",0,"x","A",0
15,1,2,0,0.435087," ","integrate(1/x,x, algorithm=""maxima"")","\log\left(x\right)"," ",0,"log(x)","A",0
16,1,5,0,0.432315," ","integrate(1/x^2,x, algorithm=""maxima"")","-\frac{1}{x}"," ",0,"-1/x","A",0
17,1,5,0,0.488853," ","integrate(1/x^3,x, algorithm=""maxima"")","-\frac{1}{2 \, x^{2}}"," ",0,"-1/2/x^2","A",0
18,1,5,0,0.426115," ","integrate(1/x^4,x, algorithm=""maxima"")","-\frac{1}{3 \, x^{3}}"," ",0,"-1/3/x^3","A",0
19,1,5,0,0.415845," ","integrate(1/x^100,x, algorithm=""maxima"")","-\frac{1}{99 \, x^{99}}"," ",0,"-1/99/x^99","A",0
20,1,5,0,0.427601," ","integrate(x^(5/2),x, algorithm=""maxima"")","\frac{2}{7} \, x^{\frac{7}{2}}"," ",0,"2/7*x^(7/2)","A",0
21,1,5,0,0.415109," ","integrate(x^(3/2),x, algorithm=""maxima"")","\frac{2}{5} \, x^{\frac{5}{2}}"," ",0,"2/5*x^(5/2)","A",0
22,1,5,0,0.424927," ","integrate(x^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, x^{\frac{3}{2}}"," ",0,"2/3*x^(3/2)","A",0
23,1,5,0,0.419412," ","integrate(1/x^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{x}"," ",0,"2*sqrt(x)","A",0
24,1,5,0,0.697728," ","integrate(1/x^(3/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{x}}"," ",0,"-2/sqrt(x)","A",0
25,1,5,0,0.616077," ","integrate(1/x^(5/2),x, algorithm=""maxima"")","-\frac{2}{3 \, x^{\frac{3}{2}}}"," ",0,"-2/3/x^(3/2)","A",0
26,1,5,0,0.559168," ","integrate(x^(5/3),x, algorithm=""maxima"")","\frac{3}{8} \, x^{\frac{8}{3}}"," ",0,"3/8*x^(8/3)","A",0
27,1,5,0,0.555408," ","integrate(x^(4/3),x, algorithm=""maxima"")","\frac{3}{7} \, x^{\frac{7}{3}}"," ",0,"3/7*x^(7/3)","A",0
28,1,5,0,0.505214," ","integrate(x^(2/3),x, algorithm=""maxima"")","\frac{3}{5} \, x^{\frac{5}{3}}"," ",0,"3/5*x^(5/3)","A",0
29,1,5,0,0.479625," ","integrate(x^(1/3),x, algorithm=""maxima"")","\frac{3}{4} \, x^{\frac{4}{3}}"," ",0,"3/4*x^(4/3)","A",0
30,1,5,0,0.455824," ","integrate(1/x^(1/3),x, algorithm=""maxima"")","\frac{3}{2} \, x^{\frac{2}{3}}"," ",0,"3/2*x^(2/3)","A",0
31,1,5,0,0.521012," ","integrate(1/x^(2/3),x, algorithm=""maxima"")","3 \, x^{\frac{1}{3}}"," ",0,"3*x^(1/3)","A",0
32,1,5,0,0.512572," ","integrate(1/x^(4/3),x, algorithm=""maxima"")","-\frac{3}{x^{\frac{1}{3}}}"," ",0,"-3/x^(1/3)","A",0
33,1,5,0,0.491305," ","integrate(1/x^(5/3),x, algorithm=""maxima"")","-\frac{3}{2 \, x^{\frac{2}{3}}}"," ",0,"-3/2/x^(2/3)","A",0
34,1,11,0,0.637681," ","integrate(x^n,x, algorithm=""maxima"")","\frac{x^{n + 1}}{n + 1}"," ",0,"x^(n + 1)/(n + 1)","A",0
35,1,16,0,0.536765," ","integrate((b*x)^n,x, algorithm=""maxima"")","\frac{\left(b x\right)^{n + 1}}{b {\left(n + 1\right)}}"," ",0,"(b*x)^(n + 1)/(b*(n + 1))","A",0
36,1,21,0,0.665220," ","integrate(1/(e*(d*x+c)+(-a)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left({\left(d x + c\right)} e + \sqrt{-a}\right)}{d e}"," ",0,"log((d*x + c)*e + sqrt(-a))/(d*e)","A",0
37,1,19,0,0.557798," ","integrate((c+d*(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(b x + a\right)} d + c\right)}^{\frac{7}{2}}}{7 \, b d}"," ",0,"2/7*((b*x + a)*d + c)^(7/2)/(b*d)","A",0
38,1,19,0,0.884980," ","integrate((c+d*(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(b x + a\right)} d + c\right)}^{\frac{5}{2}}}{5 \, b d}"," ",0,"2/5*((b*x + a)*d + c)^(5/2)/(b*d)","A",0
39,1,19,0,0.737822," ","integrate((c+d*(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(b x + a\right)} d + c\right)}^{\frac{3}{2}}}{3 \, b d}"," ",0,"2/3*((b*x + a)*d + c)^(3/2)/(b*d)","A",0
40,1,19,0,0.919609," ","integrate(1/(c+d*(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{{\left(b x + a\right)} d + c}}{b d}"," ",0,"2*sqrt((b*x + a)*d + c)/(b*d)","A",0
41,1,19,0,1.002558," ","integrate(1/(c+d*(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{{\left(b x + a\right)} d + c} b d}"," ",0,"-2/(sqrt((b*x + a)*d + c)*b*d)","A",0
42,1,19,0,0.848359," ","integrate(1/(c+d*(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{2}{3 \, {\left({\left(b x + a\right)} d + c\right)}^{\frac{3}{2}} b d}"," ",0,"-2/3/(((b*x + a)*d + c)^(3/2)*b*d)","A",0
43,1,13,0,0.894616," ","integrate(x^3*(b*x+a),x, algorithm=""maxima"")","\frac{1}{5} \, b x^{5} + \frac{1}{4} \, a x^{4}"," ",0,"1/5*b*x^5 + 1/4*a*x^4","A",0
44,1,13,0,0.860511," ","integrate(x^2*(b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, b x^{4} + \frac{1}{3} \, a x^{3}"," ",0,"1/4*b*x^4 + 1/3*a*x^3","A",0
45,1,13,0,0.830912," ","integrate(x*(b*x+a),x, algorithm=""maxima"")","\frac{1}{3} \, b x^{3} + \frac{1}{2} \, a x^{2}"," ",0,"1/3*b*x^3 + 1/2*a*x^2","A",0
46,1,10,0,0.886617," ","integrate(b*x+a,x, algorithm=""maxima"")","\frac{1}{2} \, b x^{2} + a x"," ",0,"1/2*b*x^2 + a*x","A",0
47,1,8,0,0.843457," ","integrate((b*x+a)/x,x, algorithm=""maxima"")","b x + a \log\left(x\right)"," ",0,"b*x + a*log(x)","A",0
48,1,11,0,0.871331," ","integrate((b*x+a)/x^2,x, algorithm=""maxima"")","b \log\left(x\right) - \frac{a}{x}"," ",0,"b*log(x) - a/x","A",0
49,1,11,0,1.124934," ","integrate((b*x+a)/x^3,x, algorithm=""maxima"")","-\frac{2 \, b x + a}{2 \, x^{2}}"," ",0,"-1/2*(2*b*x + a)/x^2","A",0
50,1,13,0,1.096638," ","integrate((b*x+a)/x^4,x, algorithm=""maxima"")","-\frac{3 \, b x + 2 \, a}{6 \, x^{3}}"," ",0,"-1/6*(3*b*x + 2*a)/x^3","A",0
51,1,13,0,1.051128," ","integrate((b*x+a)/x^5,x, algorithm=""maxima"")","-\frac{4 \, b x + 3 \, a}{12 \, x^{4}}"," ",0,"-1/12*(4*b*x + 3*a)/x^4","A",0
52,1,24,0,1.195378," ","integrate(x^3*(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{6} \, b^{2} x^{6} + \frac{2}{5} \, a b x^{5} + \frac{1}{4} \, a^{2} x^{4}"," ",0,"1/6*b^2*x^6 + 2/5*a*b*x^5 + 1/4*a^2*x^4","A",0
53,1,24,0,1.050988," ","integrate(x^2*(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{5} \, b^{2} x^{5} + \frac{1}{2} \, a b x^{4} + \frac{1}{3} \, a^{2} x^{3}"," ",0,"1/5*b^2*x^5 + 1/2*a*b*x^4 + 1/3*a^2*x^3","A",0
54,1,24,0,0.988918," ","integrate(x*(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{4} \, b^{2} x^{4} + \frac{2}{3} \, a b x^{3} + \frac{1}{2} \, a^{2} x^{2}"," ",0,"1/4*b^2*x^4 + 2/3*a*b*x^3 + 1/2*a^2*x^2","A",0
55,1,20,0,1.077725," ","integrate((b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} x^{3} + a b x^{2} + a^{2} x"," ",0,"1/3*b^2*x^3 + a*b*x^2 + a^2*x","A",0
56,1,20,0,1.114731," ","integrate((b*x+a)^2/x,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} x^{2} + 2 \, a b x + a^{2} \log\left(x\right)"," ",0,"1/2*b^2*x^2 + 2*a*b*x + a^2*log(x)","A",0
57,1,20,0,1.103039," ","integrate((b*x+a)^2/x^2,x, algorithm=""maxima"")","b^{2} x + 2 \, a b \log\left(x\right) - \frac{a^{2}}{x}"," ",0,"b^2*x + 2*a*b*log(x) - a^2/x","A",0
58,1,21,0,1.178645," ","integrate((b*x+a)^2/x^3,x, algorithm=""maxima"")","b^{2} \log\left(x\right) - \frac{4 \, a b x + a^{2}}{2 \, x^{2}}"," ",0,"b^2*log(x) - 1/2*(4*a*b*x + a^2)/x^2","A",0
59,1,22,0,1.353684," ","integrate((b*x+a)^2/x^4,x, algorithm=""maxima"")","-\frac{3 \, b^{2} x^{2} + 3 \, a b x + a^{2}}{3 \, x^{3}}"," ",0,"-1/3*(3*b^2*x^2 + 3*a*b*x + a^2)/x^3","A",0
60,1,24,0,1.343700," ","integrate((b*x+a)^2/x^5,x, algorithm=""maxima"")","-\frac{6 \, b^{2} x^{2} + 8 \, a b x + 3 \, a^{2}}{12 \, x^{4}}"," ",0,"-1/12*(6*b^2*x^2 + 8*a*b*x + 3*a^2)/x^4","A",0
61,1,24,0,1.328615," ","integrate((b*x+a)^2/x^6,x, algorithm=""maxima"")","-\frac{10 \, b^{2} x^{2} + 15 \, a b x + 6 \, a^{2}}{30 \, x^{5}}"," ",0,"-1/30*(10*b^2*x^2 + 15*a*b*x + 6*a^2)/x^5","A",0
62,1,24,0,1.347424," ","integrate((b*x+a)^2/x^7,x, algorithm=""maxima"")","-\frac{15 \, b^{2} x^{2} + 24 \, a b x + 10 \, a^{2}}{60 \, x^{6}}"," ",0,"-1/60*(15*b^2*x^2 + 24*a*b*x + 10*a^2)/x^6","A",0
63,1,24,0,1.351213," ","integrate((b*x+a)^2/x^8,x, algorithm=""maxima"")","-\frac{21 \, b^{2} x^{2} + 35 \, a b x + 15 \, a^{2}}{105 \, x^{7}}"," ",0,"-1/105*(21*b^2*x^2 + 35*a*b*x + 15*a^2)/x^7","A",0
64,1,35,0,1.320021," ","integrate(x^4*(b*x+a)^3,x, algorithm=""maxima"")","\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,"1/8*b^3*x^8 + 3/7*a*b^2*x^7 + 1/2*a^2*b*x^6 + 1/5*a^3*x^5","A",0
65,1,35,0,1.353855," ","integrate(x^3*(b*x+a)^3,x, algorithm=""maxima"")","\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,"1/7*b^3*x^7 + 1/2*a*b^2*x^6 + 3/5*a^2*b*x^5 + 1/4*a^3*x^4","A",0
66,1,35,0,1.336526," ","integrate(x^2*(b*x+a)^3,x, algorithm=""maxima"")","\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,"1/6*b^3*x^6 + 3/5*a*b^2*x^5 + 3/4*a^2*b*x^4 + 1/3*a^3*x^3","A",0
67,1,34,0,1.378236," ","integrate(x*(b*x+a)^3,x, algorithm=""maxima"")","\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",0
68,1,31,0,1.385908," ","integrate((b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{4} \, b^{3} x^{4} + a b^{2} x^{3} + \frac{3}{2} \, a^{2} b x^{2} + a^{3} x"," ",0,"1/4*b^3*x^4 + a*b^2*x^3 + 3/2*a^2*b*x^2 + a^3*x","B",0
69,1,31,0,1.342843," ","integrate((b*x+a)^3/x,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} x^{3} + \frac{3}{2} \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3} \log\left(x\right)"," ",0,"1/3*b^3*x^3 + 3/2*a*b^2*x^2 + 3*a^2*b*x + a^3*log(x)","A",0
70,1,32,0,1.292614," ","integrate((b*x+a)^3/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} x^{2} + 3 \, a b^{2} x + 3 \, a^{2} b \log\left(x\right) - \frac{a^{3}}{x}"," ",0,"1/2*b^3*x^2 + 3*a*b^2*x + 3*a^2*b*log(x) - a^3/x","A",0
71,1,30,0,1.344055," ","integrate((b*x+a)^3/x^3,x, algorithm=""maxima"")","b^{3} x + 3 \, a b^{2} \log\left(x\right) - \frac{6 \, a^{2} b x + a^{3}}{2 \, x^{2}}"," ",0,"b^3*x + 3*a*b^2*log(x) - 1/2*(6*a^2*b*x + a^3)/x^2","A",0
72,1,34,0,1.304816," ","integrate((b*x+a)^3/x^4,x, algorithm=""maxima"")","b^{3} \log\left(x\right) - \frac{18 \, a b^{2} x^{2} + 9 \, a^{2} b x + 2 \, a^{3}}{6 \, x^{3}}"," ",0,"b^3*log(x) - 1/6*(18*a*b^2*x^2 + 9*a^2*b*x + 2*a^3)/x^3","A",0
73,1,33,0,1.333964," ","integrate((b*x+a)^3/x^5,x, algorithm=""maxima"")","-\frac{4 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + 4 \, a^{2} b x + a^{3}}{4 \, x^{4}}"," ",0,"-1/4*(4*b^3*x^3 + 6*a*b^2*x^2 + 4*a^2*b*x + a^3)/x^4","B",0
74,1,35,0,1.351221," ","integrate((b*x+a)^3/x^6,x, algorithm=""maxima"")","-\frac{10 \, b^{3} x^{3} + 20 \, a b^{2} x^{2} + 15 \, a^{2} b x + 4 \, a^{3}}{20 \, x^{5}}"," ",0,"-1/20*(10*b^3*x^3 + 20*a*b^2*x^2 + 15*a^2*b*x + 4*a^3)/x^5","A",0
75,1,35,0,1.354759," ","integrate((b*x+a)^3/x^7,x, algorithm=""maxima"")","-\frac{20 \, b^{3} x^{3} + 45 \, a b^{2} x^{2} + 36 \, a^{2} b x + 10 \, a^{3}}{60 \, x^{6}}"," ",0,"-1/60*(20*b^3*x^3 + 45*a*b^2*x^2 + 36*a^2*b*x + 10*a^3)/x^6","A",0
76,1,35,0,1.354630," ","integrate((b*x+a)^3/x^8,x, algorithm=""maxima"")","-\frac{35 \, b^{3} x^{3} + 84 \, a b^{2} x^{2} + 70 \, a^{2} b x + 20 \, a^{3}}{140 \, x^{7}}"," ",0,"-1/140*(35*b^3*x^3 + 84*a*b^2*x^2 + 70*a^2*b*x + 20*a^3)/x^7","A",0
77,1,56,0,1.382715," ","integrate(x^6*(b*x+a)^5,x, algorithm=""maxima"")","\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,"1/12*b^5*x^12 + 5/11*a*b^4*x^11 + a^2*b^3*x^10 + 10/9*a^3*b^2*x^9 + 5/8*a^4*b*x^8 + 1/7*a^5*x^7","A",0
78,1,57,0,1.361507," ","integrate(x^5*(b*x+a)^5,x, algorithm=""maxima"")","\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,"1/11*b^5*x^11 + 1/2*a*b^4*x^10 + 10/9*a^2*b^3*x^9 + 5/4*a^3*b^2*x^8 + 5/7*a^4*b*x^7 + 1/6*a^5*x^6","A",0
79,1,57,0,1.469360," ","integrate(x^4*(b*x+a)^5,x, algorithm=""maxima"")","\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,"1/10*b^5*x^10 + 5/9*a*b^4*x^9 + 5/4*a^2*b^3*x^8 + 10/7*a^3*b^2*x^7 + 5/6*a^4*b*x^6 + 1/5*a^5*x^5","A",0
80,1,56,0,1.397103," ","integrate(x^3*(b*x+a)^5,x, algorithm=""maxima"")","\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",0
81,1,57,0,1.321685," ","integrate(x^2*(b*x+a)^5,x, algorithm=""maxima"")","\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",0
82,1,57,0,1.310932," ","integrate(x*(b*x+a)^5,x, algorithm=""maxima"")","\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",0
83,1,53,0,1.366758," ","integrate((b*x+a)^5,x, algorithm=""maxima"")","\frac{1}{6} \, b^{5} x^{6} + a b^{4} x^{5} + \frac{5}{2} \, a^{2} b^{3} x^{4} + \frac{10}{3} \, a^{3} b^{2} x^{3} + \frac{5}{2} \, a^{4} b x^{2} + a^{5} x"," ",0,"1/6*b^5*x^6 + a*b^4*x^5 + 5/2*a^2*b^3*x^4 + 10/3*a^3*b^2*x^3 + 5/2*a^4*b*x^2 + a^5*x","B",0
84,1,53,0,1.372009," ","integrate((b*x+a)^5/x,x, algorithm=""maxima"")","\frac{1}{5} \, b^{5} x^{5} + \frac{5}{4} \, a b^{4} x^{4} + \frac{10}{3} \, a^{2} b^{3} x^{3} + 5 \, a^{3} b^{2} x^{2} + 5 \, a^{4} b x + a^{5} \log\left(x\right)"," ",0,"1/5*b^5*x^5 + 5/4*a*b^4*x^4 + 10/3*a^2*b^3*x^3 + 5*a^3*b^2*x^2 + 5*a^4*b*x + a^5*log(x)","A",0
85,1,54,0,1.395528," ","integrate((b*x+a)^5/x^2,x, algorithm=""maxima"")","\frac{1}{4} \, b^{5} x^{4} + \frac{5}{3} \, a b^{4} x^{3} + 5 \, a^{2} b^{3} x^{2} + 10 \, a^{3} b^{2} x + 5 \, a^{4} b \log\left(x\right) - \frac{a^{5}}{x}"," ",0,"1/4*b^5*x^4 + 5/3*a*b^4*x^3 + 5*a^2*b^3*x^2 + 10*a^3*b^2*x + 5*a^4*b*log(x) - a^5/x","A",0
86,1,53,0,1.362412," ","integrate((b*x+a)^5/x^3,x, algorithm=""maxima"")","\frac{1}{3} \, b^{5} x^{3} + \frac{5}{2} \, a b^{4} x^{2} + 10 \, a^{2} b^{3} x + 10 \, a^{3} b^{2} \log\left(x\right) - \frac{10 \, a^{4} b x + a^{5}}{2 \, x^{2}}"," ",0,"1/3*b^5*x^3 + 5/2*a*b^4*x^2 + 10*a^2*b^3*x + 10*a^3*b^2*log(x) - 1/2*(10*a^4*b*x + a^5)/x^2","A",0
87,1,55,0,1.407223," ","integrate((b*x+a)^5/x^4,x, algorithm=""maxima"")","\frac{1}{2} \, b^{5} x^{2} + 5 \, a b^{4} x + 10 \, a^{2} b^{3} \log\left(x\right) - \frac{60 \, a^{3} b^{2} x^{2} + 15 \, a^{4} b x + 2 \, a^{5}}{6 \, x^{3}}"," ",0,"1/2*b^5*x^2 + 5*a*b^4*x + 10*a^2*b^3*log(x) - 1/6*(60*a^3*b^2*x^2 + 15*a^4*b*x + 2*a^5)/x^3","A",0
88,1,54,0,1.365097," ","integrate((b*x+a)^5/x^5,x, algorithm=""maxima"")","b^{5} x + 5 \, a b^{4} \log\left(x\right) - \frac{120 \, a^{2} b^{3} x^{3} + 60 \, a^{3} b^{2} x^{2} + 20 \, a^{4} b x + 3 \, a^{5}}{12 \, x^{4}}"," ",0,"b^5*x + 5*a*b^4*log(x) - 1/12*(120*a^2*b^3*x^3 + 60*a^3*b^2*x^2 + 20*a^4*b*x + 3*a^5)/x^4","A",0
89,1,56,0,1.347768," ","integrate((b*x+a)^5/x^6,x, algorithm=""maxima"")","b^{5} \log\left(x\right) - \frac{300 \, a b^{4} x^{4} + 300 \, a^{2} b^{3} x^{3} + 200 \, a^{3} b^{2} x^{2} + 75 \, a^{4} b x + 12 \, a^{5}}{60 \, x^{5}}"," ",0,"b^5*log(x) - 1/60*(300*a*b^4*x^4 + 300*a^2*b^3*x^3 + 200*a^3*b^2*x^2 + 75*a^4*b*x + 12*a^5)/x^5","A",0
90,1,55,0,1.299253," ","integrate((b*x+a)^5/x^7,x, algorithm=""maxima"")","-\frac{6 \, b^{5} x^{5} + 15 \, a b^{4} x^{4} + 20 \, a^{2} b^{3} x^{3} + 15 \, a^{3} b^{2} x^{2} + 6 \, a^{4} b x + a^{5}}{6 \, x^{6}}"," ",0,"-1/6*(6*b^5*x^5 + 15*a*b^4*x^4 + 20*a^2*b^3*x^3 + 15*a^3*b^2*x^2 + 6*a^4*b*x + a^5)/x^6","B",0
91,1,57,0,1.355513," ","integrate((b*x+a)^5/x^8,x, algorithm=""maxima"")","-\frac{21 \, b^{5} x^{5} + 70 \, a b^{4} x^{4} + 105 \, a^{2} b^{3} x^{3} + 84 \, a^{3} b^{2} x^{2} + 35 \, a^{4} b x + 6 \, a^{5}}{42 \, x^{7}}"," ",0,"-1/42*(21*b^5*x^5 + 70*a*b^4*x^4 + 105*a^2*b^3*x^3 + 84*a^3*b^2*x^2 + 35*a^4*b*x + 6*a^5)/x^7","A",0
92,1,57,0,1.395438," ","integrate((b*x+a)^5/x^9,x, algorithm=""maxima"")","-\frac{56 \, b^{5} x^{5} + 210 \, a b^{4} x^{4} + 336 \, a^{2} b^{3} x^{3} + 280 \, a^{3} b^{2} x^{2} + 120 \, a^{4} b x + 21 \, a^{5}}{168 \, x^{8}}"," ",0,"-1/168*(56*b^5*x^5 + 210*a*b^4*x^4 + 336*a^2*b^3*x^3 + 280*a^3*b^2*x^2 + 120*a^4*b*x + 21*a^5)/x^8","A",0
93,1,57,0,1.333389," ","integrate((b*x+a)^5/x^10,x, algorithm=""maxima"")","-\frac{126 \, b^{5} x^{5} + 504 \, a b^{4} x^{4} + 840 \, a^{2} b^{3} x^{3} + 720 \, a^{3} b^{2} x^{2} + 315 \, a^{4} b x + 56 \, a^{5}}{504 \, x^{9}}"," ",0,"-1/504*(126*b^5*x^5 + 504*a*b^4*x^4 + 840*a^2*b^3*x^3 + 720*a^3*b^2*x^2 + 315*a^4*b*x + 56*a^5)/x^9","A",0
94,1,57,0,1.374132," ","integrate((b*x+a)^5/x^11,x, algorithm=""maxima"")","-\frac{252 \, b^{5} x^{5} + 1050 \, a b^{4} x^{4} + 1800 \, a^{2} b^{3} x^{3} + 1575 \, a^{3} b^{2} x^{2} + 700 \, a^{4} b x + 126 \, a^{5}}{1260 \, x^{10}}"," ",0,"-1/1260*(252*b^5*x^5 + 1050*a*b^4*x^4 + 1800*a^2*b^3*x^3 + 1575*a^3*b^2*x^2 + 700*a^4*b*x + 126*a^5)/x^10","A",0
95,1,57,0,1.314315," ","integrate((b*x+a)^5/x^12,x, algorithm=""maxima"")","-\frac{462 \, b^{5} x^{5} + 1980 \, a b^{4} x^{4} + 3465 \, a^{2} b^{3} x^{3} + 3080 \, a^{3} b^{2} x^{2} + 1386 \, a^{4} b x + 252 \, a^{5}}{2772 \, x^{11}}"," ",0,"-1/2772*(462*b^5*x^5 + 1980*a*b^4*x^4 + 3465*a^2*b^3*x^3 + 3080*a^3*b^2*x^2 + 1386*a^4*b*x + 252*a^5)/x^11","A",0
96,1,57,0,1.363914," ","integrate((b*x+a)^5/x^13,x, algorithm=""maxima"")","-\frac{792 \, b^{5} x^{5} + 3465 \, a b^{4} x^{4} + 6160 \, a^{2} b^{3} x^{3} + 5544 \, a^{3} b^{2} x^{2} + 2520 \, a^{4} b x + 462 \, a^{5}}{5544 \, x^{12}}"," ",0,"-1/5544*(792*b^5*x^5 + 3465*a*b^4*x^4 + 6160*a^2*b^3*x^3 + 5544*a^3*b^2*x^2 + 2520*a^4*b*x + 462*a^5)/x^12","A",0
97,1,57,0,1.377970," ","integrate((b*x+a)^5/x^14,x, algorithm=""maxima"")","-\frac{1287 \, b^{5} x^{5} + 5720 \, a b^{4} x^{4} + 10296 \, a^{2} b^{3} x^{3} + 9360 \, a^{3} b^{2} x^{2} + 4290 \, a^{4} b x + 792 \, a^{5}}{10296 \, x^{13}}"," ",0,"-1/10296*(1287*b^5*x^5 + 5720*a*b^4*x^4 + 10296*a^2*b^3*x^3 + 9360*a^3*b^2*x^2 + 4290*a^4*b*x + 792*a^5)/x^13","A",0
98,1,79,0,1.399616," ","integrate(x^8*(b*x+a)^7,x, algorithm=""maxima"")","\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,"1/16*b^7*x^16 + 7/15*a*b^6*x^15 + 3/2*a^2*b^5*x^14 + 35/13*a^3*b^4*x^13 + 35/12*a^4*b^3*x^12 + 21/11*a^5*b^2*x^11 + 7/10*a^6*b*x^10 + 1/9*a^7*x^9","A",0
99,1,79,0,1.299085," ","integrate(x^7*(b*x+a)^7,x, algorithm=""maxima"")","\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,"1/15*b^7*x^15 + 1/2*a*b^6*x^14 + 21/13*a^2*b^5*x^13 + 35/12*a^3*b^4*x^12 + 35/11*a^4*b^3*x^11 + 21/10*a^5*b^2*x^10 + 7/9*a^6*b*x^9 + 1/8*a^7*x^8","A",0
100,1,79,0,1.292309," ","integrate(x^6*(b*x+a)^7,x, algorithm=""maxima"")","\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,"1/14*b^7*x^14 + 7/13*a*b^6*x^13 + 7/4*a^2*b^5*x^12 + 35/11*a^3*b^4*x^11 + 7/2*a^4*b^3*x^10 + 7/3*a^5*b^2*x^9 + 7/8*a^6*b*x^8 + 1/7*a^7*x^7","A",0
101,1,78,0,1.389321," ","integrate(x^5*(b*x+a)^7,x, algorithm=""maxima"")","\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",0
102,1,79,0,1.350801," ","integrate(x^4*(b*x+a)^7,x, algorithm=""maxima"")","\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",0
103,1,79,0,1.340650," ","integrate(x^3*(b*x+a)^7,x, algorithm=""maxima"")","\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",0
104,1,79,0,1.327446," ","integrate(x^2*(b*x+a)^7,x, algorithm=""maxima"")","\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",0
105,1,79,0,1.348666," ","integrate(x*(b*x+a)^7,x, algorithm=""maxima"")","\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",0
106,1,12,0,1.389449," ","integrate((b*x+a)^7,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{8}}{8 \, b}"," ",0,"1/8*(b*x + a)^8/b","A",0
107,1,75,0,1.337772," ","integrate((b*x+a)^7/x,x, algorithm=""maxima"")","\frac{1}{7} \, b^{7} x^{7} + \frac{7}{6} \, a b^{6} x^{6} + \frac{21}{5} \, a^{2} b^{5} x^{5} + \frac{35}{4} \, a^{3} b^{4} x^{4} + \frac{35}{3} \, a^{4} b^{3} x^{3} + \frac{21}{2} \, a^{5} b^{2} x^{2} + 7 \, a^{6} b x + a^{7} \log\left(x\right)"," ",0,"1/7*b^7*x^7 + 7/6*a*b^6*x^6 + 21/5*a^2*b^5*x^5 + 35/4*a^3*b^4*x^4 + 35/3*a^4*b^3*x^3 + 21/2*a^5*b^2*x^2 + 7*a^6*b*x + a^7*log(x)","A",0
108,1,76,0,1.357196," ","integrate((b*x+a)^7/x^2,x, algorithm=""maxima"")","\frac{1}{6} \, b^{7} x^{6} + \frac{7}{5} \, a b^{6} x^{5} + \frac{21}{4} \, a^{2} b^{5} x^{4} + \frac{35}{3} \, a^{3} b^{4} x^{3} + \frac{35}{2} \, a^{4} b^{3} x^{2} + 21 \, a^{5} b^{2} x + 7 \, a^{6} b \log\left(x\right) - \frac{a^{7}}{x}"," ",0,"1/6*b^7*x^6 + 7/5*a*b^6*x^5 + 21/4*a^2*b^5*x^4 + 35/3*a^3*b^4*x^3 + 35/2*a^4*b^3*x^2 + 21*a^5*b^2*x + 7*a^6*b*log(x) - a^7/x","A",0
109,1,75,0,1.377462," ","integrate((b*x+a)^7/x^3,x, algorithm=""maxima"")","\frac{1}{5} \, b^{7} x^{5} + \frac{7}{4} \, a b^{6} x^{4} + 7 \, a^{2} b^{5} x^{3} + \frac{35}{2} \, a^{3} b^{4} x^{2} + 35 \, a^{4} b^{3} x + 21 \, a^{5} b^{2} \log\left(x\right) - \frac{14 \, a^{6} b x + a^{7}}{2 \, x^{2}}"," ",0,"1/5*b^7*x^5 + 7/4*a*b^6*x^4 + 7*a^2*b^5*x^3 + 35/2*a^3*b^4*x^2 + 35*a^4*b^3*x + 21*a^5*b^2*log(x) - 1/2*(14*a^6*b*x + a^7)/x^2","A",0
110,1,77,0,1.328989," ","integrate((b*x+a)^7/x^4,x, algorithm=""maxima"")","\frac{1}{4} \, b^{7} x^{4} + \frac{7}{3} \, a b^{6} x^{3} + \frac{21}{2} \, a^{2} b^{5} x^{2} + 35 \, a^{3} b^{4} x + 35 \, a^{4} b^{3} \log\left(x\right) - \frac{126 \, a^{5} b^{2} x^{2} + 21 \, a^{6} b x + 2 \, a^{7}}{6 \, x^{3}}"," ",0,"1/4*b^7*x^4 + 7/3*a*b^6*x^3 + 21/2*a^2*b^5*x^2 + 35*a^3*b^4*x + 35*a^4*b^3*log(x) - 1/6*(126*a^5*b^2*x^2 + 21*a^6*b*x + 2*a^7)/x^3","A",0
111,1,77,0,1.396804," ","integrate((b*x+a)^7/x^5,x, algorithm=""maxima"")","\frac{1}{3} \, b^{7} x^{3} + \frac{7}{2} \, a b^{6} x^{2} + 21 \, a^{2} b^{5} x + 35 \, a^{3} b^{4} \log\left(x\right) - \frac{420 \, a^{4} b^{3} x^{3} + 126 \, a^{5} b^{2} x^{2} + 28 \, a^{6} b x + 3 \, a^{7}}{12 \, x^{4}}"," ",0,"1/3*b^7*x^3 + 7/2*a*b^6*x^2 + 21*a^2*b^5*x + 35*a^3*b^4*log(x) - 1/12*(420*a^4*b^3*x^3 + 126*a^5*b^2*x^2 + 28*a^6*b*x + 3*a^7)/x^4","A",0
112,1,77,0,1.381700," ","integrate((b*x+a)^7/x^6,x, algorithm=""maxima"")","\frac{1}{2} \, b^{7} x^{2} + 7 \, a b^{6} x + 21 \, a^{2} b^{5} \log\left(x\right) - \frac{700 \, a^{3} b^{4} x^{4} + 350 \, a^{4} b^{3} x^{3} + 140 \, a^{5} b^{2} x^{2} + 35 \, a^{6} b x + 4 \, a^{7}}{20 \, x^{5}}"," ",0,"1/2*b^7*x^2 + 7*a*b^6*x + 21*a^2*b^5*log(x) - 1/20*(700*a^3*b^4*x^4 + 350*a^4*b^3*x^3 + 140*a^5*b^2*x^2 + 35*a^6*b*x + 4*a^7)/x^5","A",0
113,1,76,0,1.384474," ","integrate((b*x+a)^7/x^7,x, algorithm=""maxima"")","b^{7} x + 7 \, a b^{6} \log\left(x\right) - \frac{1260 \, a^{2} b^{5} x^{5} + 1050 \, a^{3} b^{4} x^{4} + 700 \, a^{4} b^{3} x^{3} + 315 \, a^{5} b^{2} x^{2} + 84 \, a^{6} b x + 10 \, a^{7}}{60 \, x^{6}}"," ",0,"b^7*x + 7*a*b^6*log(x) - 1/60*(1260*a^2*b^5*x^5 + 1050*a^3*b^4*x^4 + 700*a^4*b^3*x^3 + 315*a^5*b^2*x^2 + 84*a^6*b*x + 10*a^7)/x^6","A",0
114,1,78,0,1.362875," ","integrate((b*x+a)^7/x^8,x, algorithm=""maxima"")","b^{7} \log\left(x\right) - \frac{2940 \, a b^{6} x^{6} + 4410 \, a^{2} b^{5} x^{5} + 4900 \, a^{3} b^{4} x^{4} + 3675 \, a^{4} b^{3} x^{3} + 1764 \, a^{5} b^{2} x^{2} + 490 \, a^{6} b x + 60 \, a^{7}}{420 \, x^{7}}"," ",0,"b^7*log(x) - 1/420*(2940*a*b^6*x^6 + 4410*a^2*b^5*x^5 + 4900*a^3*b^4*x^4 + 3675*a^4*b^3*x^3 + 1764*a^5*b^2*x^2 + 490*a^6*b*x + 60*a^7)/x^7","A",0
115,1,77,0,1.294519," ","integrate((b*x+a)^7/x^9,x, algorithm=""maxima"")","-\frac{8 \, b^{7} x^{7} + 28 \, a b^{6} x^{6} + 56 \, a^{2} b^{5} x^{5} + 70 \, a^{3} b^{4} x^{4} + 56 \, a^{4} b^{3} x^{3} + 28 \, a^{5} b^{2} x^{2} + 8 \, a^{6} b x + a^{7}}{8 \, x^{8}}"," ",0,"-1/8*(8*b^7*x^7 + 28*a*b^6*x^6 + 56*a^2*b^5*x^5 + 70*a^3*b^4*x^4 + 56*a^4*b^3*x^3 + 28*a^5*b^2*x^2 + 8*a^6*b*x + a^7)/x^8","B",0
116,1,79,0,1.313975," ","integrate((b*x+a)^7/x^10,x, algorithm=""maxima"")","-\frac{36 \, b^{7} x^{7} + 168 \, a b^{6} x^{6} + 378 \, a^{2} b^{5} x^{5} + 504 \, a^{3} b^{4} x^{4} + 420 \, a^{4} b^{3} x^{3} + 216 \, a^{5} b^{2} x^{2} + 63 \, a^{6} b x + 8 \, a^{7}}{72 \, x^{9}}"," ",0,"-1/72*(36*b^7*x^7 + 168*a*b^6*x^6 + 378*a^2*b^5*x^5 + 504*a^3*b^4*x^4 + 420*a^4*b^3*x^3 + 216*a^5*b^2*x^2 + 63*a^6*b*x + 8*a^7)/x^9","B",0
117,1,79,0,1.382344," ","integrate((b*x+a)^7/x^11,x, algorithm=""maxima"")","-\frac{120 \, b^{7} x^{7} + 630 \, a b^{6} x^{6} + 1512 \, a^{2} b^{5} x^{5} + 2100 \, a^{3} b^{4} x^{4} + 1800 \, a^{4} b^{3} x^{3} + 945 \, a^{5} b^{2} x^{2} + 280 \, a^{6} b x + 36 \, a^{7}}{360 \, x^{10}}"," ",0,"-1/360*(120*b^7*x^7 + 630*a*b^6*x^6 + 1512*a^2*b^5*x^5 + 2100*a^3*b^4*x^4 + 1800*a^4*b^3*x^3 + 945*a^5*b^2*x^2 + 280*a^6*b*x + 36*a^7)/x^10","A",0
118,1,79,0,1.363766," ","integrate((b*x+a)^7/x^12,x, algorithm=""maxima"")","-\frac{330 \, b^{7} x^{7} + 1848 \, a b^{6} x^{6} + 4620 \, a^{2} b^{5} x^{5} + 6600 \, a^{3} b^{4} x^{4} + 5775 \, a^{4} b^{3} x^{3} + 3080 \, a^{5} b^{2} x^{2} + 924 \, a^{6} b x + 120 \, a^{7}}{1320 \, x^{11}}"," ",0,"-1/1320*(330*b^7*x^7 + 1848*a*b^6*x^6 + 4620*a^2*b^5*x^5 + 6600*a^3*b^4*x^4 + 5775*a^4*b^3*x^3 + 3080*a^5*b^2*x^2 + 924*a^6*b*x + 120*a^7)/x^11","A",0
119,1,79,0,1.445143," ","integrate((b*x+a)^7/x^13,x, algorithm=""maxima"")","-\frac{792 \, b^{7} x^{7} + 4620 \, a b^{6} x^{6} + 11880 \, a^{2} b^{5} x^{5} + 17325 \, a^{3} b^{4} x^{4} + 15400 \, a^{4} b^{3} x^{3} + 8316 \, a^{5} b^{2} x^{2} + 2520 \, a^{6} b x + 330 \, a^{7}}{3960 \, x^{12}}"," ",0,"-1/3960*(792*b^7*x^7 + 4620*a*b^6*x^6 + 11880*a^2*b^5*x^5 + 17325*a^3*b^4*x^4 + 15400*a^4*b^3*x^3 + 8316*a^5*b^2*x^2 + 2520*a^6*b*x + 330*a^7)/x^12","A",0
120,1,79,0,1.368011," ","integrate((b*x+a)^7/x^14,x, algorithm=""maxima"")","-\frac{1716 \, b^{7} x^{7} + 10296 \, a b^{6} x^{6} + 27027 \, a^{2} b^{5} x^{5} + 40040 \, a^{3} b^{4} x^{4} + 36036 \, a^{4} b^{3} x^{3} + 19656 \, a^{5} b^{2} x^{2} + 6006 \, a^{6} b x + 792 \, a^{7}}{10296 \, x^{13}}"," ",0,"-1/10296*(1716*b^7*x^7 + 10296*a*b^6*x^6 + 27027*a^2*b^5*x^5 + 40040*a^3*b^4*x^4 + 36036*a^4*b^3*x^3 + 19656*a^5*b^2*x^2 + 6006*a^6*b*x + 792*a^7)/x^13","A",0
121,1,79,0,1.342960," ","integrate((b*x+a)^7/x^15,x, algorithm=""maxima"")","-\frac{3432 \, b^{7} x^{7} + 21021 \, a b^{6} x^{6} + 56056 \, a^{2} b^{5} x^{5} + 84084 \, a^{3} b^{4} x^{4} + 76440 \, a^{4} b^{3} x^{3} + 42042 \, a^{5} b^{2} x^{2} + 12936 \, a^{6} b x + 1716 \, a^{7}}{24024 \, x^{14}}"," ",0,"-1/24024*(3432*b^7*x^7 + 21021*a*b^6*x^6 + 56056*a^2*b^5*x^5 + 84084*a^3*b^4*x^4 + 76440*a^4*b^3*x^3 + 42042*a^5*b^2*x^2 + 12936*a^6*b*x + 1716*a^7)/x^14","A",0
122,1,79,0,1.390337," ","integrate((b*x+a)^7/x^16,x, algorithm=""maxima"")","-\frac{6435 \, b^{7} x^{7} + 40040 \, a b^{6} x^{6} + 108108 \, a^{2} b^{5} x^{5} + 163800 \, a^{3} b^{4} x^{4} + 150150 \, a^{4} b^{3} x^{3} + 83160 \, a^{5} b^{2} x^{2} + 25740 \, a^{6} b x + 3432 \, a^{7}}{51480 \, x^{15}}"," ",0,"-1/51480*(6435*b^7*x^7 + 40040*a*b^6*x^6 + 108108*a^2*b^5*x^5 + 163800*a^3*b^4*x^4 + 150150*a^4*b^3*x^3 + 83160*a^5*b^2*x^2 + 25740*a^6*b*x + 3432*a^7)/x^15","A",0
123,1,112,0,1.325627," ","integrate(x^11*(b*x+a)^10,x, algorithm=""maxima"")","\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,"1/22*b^10*x^22 + 10/21*a*b^9*x^21 + 9/4*a^2*b^8*x^20 + 120/19*a^3*b^7*x^19 + 35/3*a^4*b^6*x^18 + 252/17*a^5*b^5*x^17 + 105/8*a^6*b^4*x^16 + 8*a^7*b^3*x^15 + 45/14*a^8*b^2*x^14 + 10/13*a^9*b*x^13 + 1/12*a^10*x^12","A",0
124,1,112,0,1.339743," ","integrate(x^10*(b*x+a)^10,x, algorithm=""maxima"")","\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,"1/21*b^10*x^21 + 1/2*a*b^9*x^20 + 45/19*a^2*b^8*x^19 + 20/3*a^3*b^7*x^18 + 210/17*a^4*b^6*x^17 + 63/4*a^5*b^5*x^16 + 14*a^6*b^4*x^15 + 60/7*a^7*b^3*x^14 + 45/13*a^8*b^2*x^13 + 5/6*a^9*b*x^12 + 1/11*a^10*x^11","A",0
125,1,112,0,1.369247," ","integrate(x^9*(b*x+a)^10,x, algorithm=""maxima"")","\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,"1/20*b^10*x^20 + 10/19*a*b^9*x^19 + 5/2*a^2*b^8*x^18 + 120/17*a^3*b^7*x^17 + 105/8*a^4*b^6*x^16 + 84/5*a^5*b^5*x^15 + 15*a^6*b^4*x^14 + 120/13*a^7*b^3*x^13 + 15/4*a^8*b^2*x^12 + 10/11*a^9*b*x^11 + 1/10*a^10*x^10","A",0
126,1,111,0,1.364790," ","integrate(x^8*(b*x+a)^10,x, algorithm=""maxima"")","\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",0
127,1,112,0,1.337412," ","integrate(x^7*(b*x+a)^10,x, algorithm=""maxima"")","\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",0
128,1,112,0,1.383550," ","integrate(x^6*(b*x+a)^10,x, algorithm=""maxima"")","\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",0
129,1,112,0,1.364845," ","integrate(x^5*(b*x+a)^10,x, algorithm=""maxima"")","\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",0
130,1,112,0,1.291696," ","integrate(x^4*(b*x+a)^10,x, algorithm=""maxima"")","\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",0
131,1,112,0,1.357917," ","integrate(x^3*(b*x+a)^10,x, algorithm=""maxima"")","\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",0
132,1,112,0,1.374163," ","integrate(x^2*(b*x+a)^10,x, algorithm=""maxima"")","\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",0
133,1,112,0,1.345311," ","integrate(x*(b*x+a)^10,x, algorithm=""maxima"")","\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",0
134,1,12,0,1.334626," ","integrate((b*x+a)^10,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{11}}{11 \, b}"," ",0,"1/11*(b*x + a)^11/b","A",0
135,1,108,0,1.387850," ","integrate((b*x+a)^10/x,x, algorithm=""maxima"")","\frac{1}{10} \, b^{10} x^{10} + \frac{10}{9} \, a b^{9} x^{9} + \frac{45}{8} \, a^{2} b^{8} x^{8} + \frac{120}{7} \, a^{3} b^{7} x^{7} + 35 \, a^{4} b^{6} x^{6} + \frac{252}{5} \, a^{5} b^{5} x^{5} + \frac{105}{2} \, a^{6} b^{4} x^{4} + 40 \, a^{7} b^{3} x^{3} + \frac{45}{2} \, a^{8} b^{2} x^{2} + 10 \, a^{9} b x + a^{10} \log\left(x\right)"," ",0,"1/10*b^10*x^10 + 10/9*a*b^9*x^9 + 45/8*a^2*b^8*x^8 + 120/7*a^3*b^7*x^7 + 35*a^4*b^6*x^6 + 252/5*a^5*b^5*x^5 + 105/2*a^6*b^4*x^4 + 40*a^7*b^3*x^3 + 45/2*a^8*b^2*x^2 + 10*a^9*b*x + a^10*log(x)","A",0
136,1,109,0,1.351588," ","integrate((b*x+a)^10/x^2,x, algorithm=""maxima"")","\frac{1}{9} \, b^{10} x^{9} + \frac{5}{4} \, a b^{9} x^{8} + \frac{45}{7} \, a^{2} b^{8} x^{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} + 45 \, a^{8} b^{2} x + 10 \, a^{9} b \log\left(x\right) - \frac{a^{10}}{x}"," ",0,"1/9*b^10*x^9 + 5/4*a*b^9*x^8 + 45/7*a^2*b^8*x^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 + 45*a^8*b^2*x + 10*a^9*b*log(x) - a^10/x","A",0
137,1,108,0,1.437769," ","integrate((b*x+a)^10/x^3,x, algorithm=""maxima"")","\frac{1}{8} \, b^{10} x^{8} + \frac{10}{7} \, a b^{9} x^{7} + \frac{15}{2} \, a^{2} b^{8} x^{6} + 24 \, a^{3} b^{7} x^{5} + \frac{105}{2} \, a^{4} b^{6} x^{4} + 84 \, a^{5} b^{5} x^{3} + 105 \, a^{6} b^{4} x^{2} + 120 \, a^{7} b^{3} x + 45 \, a^{8} b^{2} \log\left(x\right) - \frac{20 \, a^{9} b x + a^{10}}{2 \, x^{2}}"," ",0,"1/8*b^10*x^8 + 10/7*a*b^9*x^7 + 15/2*a^2*b^8*x^6 + 24*a^3*b^7*x^5 + 105/2*a^4*b^6*x^4 + 84*a^5*b^5*x^3 + 105*a^6*b^4*x^2 + 120*a^7*b^3*x + 45*a^8*b^2*log(x) - 1/2*(20*a^9*b*x + a^10)/x^2","A",0
138,1,108,0,1.367905," ","integrate((b*x+a)^10/x^4,x, algorithm=""maxima"")","\frac{1}{7} \, b^{10} x^{7} + \frac{5}{3} \, a b^{9} x^{6} + 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} + 210 \, a^{6} b^{4} x + 120 \, a^{7} b^{3} \log\left(x\right) - \frac{135 \, a^{8} b^{2} x^{2} + 15 \, a^{9} b x + a^{10}}{3 \, x^{3}}"," ",0,"1/7*b^10*x^7 + 5/3*a*b^9*x^6 + 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 + 210*a^6*b^4*x + 120*a^7*b^3*log(x) - 1/3*(135*a^8*b^2*x^2 + 15*a^9*b*x + a^10)/x^3","A",0
139,1,110,0,1.268942," ","integrate((b*x+a)^10/x^5,x, algorithm=""maxima"")","\frac{1}{6} \, b^{10} x^{6} + 2 \, a b^{9} x^{5} + \frac{45}{4} \, a^{2} b^{8} x^{4} + 40 \, a^{3} b^{7} x^{3} + 105 \, a^{4} b^{6} x^{2} + 252 \, a^{5} b^{5} x + 210 \, a^{6} b^{4} \log\left(x\right) - \frac{1440 \, a^{7} b^{3} x^{3} + 270 \, a^{8} b^{2} x^{2} + 40 \, a^{9} b x + 3 \, a^{10}}{12 \, x^{4}}"," ",0,"1/6*b^10*x^6 + 2*a*b^9*x^5 + 45/4*a^2*b^8*x^4 + 40*a^3*b^7*x^3 + 105*a^4*b^6*x^2 + 252*a^5*b^5*x + 210*a^6*b^4*log(x) - 1/12*(1440*a^7*b^3*x^3 + 270*a^8*b^2*x^2 + 40*a^9*b*x + 3*a^10)/x^4","A",0
140,1,110,0,1.398748," ","integrate((b*x+a)^10/x^6,x, algorithm=""maxima"")","\frac{1}{5} \, b^{10} x^{5} + \frac{5}{2} \, a b^{9} x^{4} + 15 \, a^{2} b^{8} x^{3} + 60 \, a^{3} b^{7} x^{2} + 210 \, a^{4} b^{6} x + 252 \, a^{5} b^{5} \log\left(x\right) - \frac{2100 \, a^{6} b^{4} x^{4} + 600 \, a^{7} b^{3} x^{3} + 150 \, a^{8} b^{2} x^{2} + 25 \, a^{9} b x + 2 \, a^{10}}{10 \, x^{5}}"," ",0,"1/5*b^10*x^5 + 5/2*a*b^9*x^4 + 15*a^2*b^8*x^3 + 60*a^3*b^7*x^2 + 210*a^4*b^6*x + 252*a^5*b^5*log(x) - 1/10*(2100*a^6*b^4*x^4 + 600*a^7*b^3*x^3 + 150*a^8*b^2*x^2 + 25*a^9*b*x + 2*a^10)/x^5","A",0
141,1,110,0,1.367099," ","integrate((b*x+a)^10/x^7,x, algorithm=""maxima"")","\frac{1}{4} \, b^{10} x^{4} + \frac{10}{3} \, a b^{9} x^{3} + \frac{45}{2} \, a^{2} b^{8} x^{2} + 120 \, a^{3} b^{7} x + 210 \, a^{4} b^{6} \log\left(x\right) - \frac{3024 \, a^{5} b^{5} x^{5} + 1260 \, a^{6} b^{4} x^{4} + 480 \, a^{7} b^{3} x^{3} + 135 \, a^{8} b^{2} x^{2} + 24 \, a^{9} b x + 2 \, a^{10}}{12 \, x^{6}}"," ",0,"1/4*b^10*x^4 + 10/3*a*b^9*x^3 + 45/2*a^2*b^8*x^2 + 120*a^3*b^7*x + 210*a^4*b^6*log(x) - 1/12*(3024*a^5*b^5*x^5 + 1260*a^6*b^4*x^4 + 480*a^7*b^3*x^3 + 135*a^8*b^2*x^2 + 24*a^9*b*x + 2*a^10)/x^6","A",0
142,1,110,0,1.298132," ","integrate((b*x+a)^10/x^8,x, algorithm=""maxima"")","\frac{1}{3} \, b^{10} x^{3} + 5 \, a b^{9} x^{2} + 45 \, a^{2} b^{8} x + 120 \, a^{3} b^{7} \log\left(x\right) - \frac{4410 \, a^{4} b^{6} x^{6} + 2646 \, a^{5} b^{5} x^{5} + 1470 \, a^{6} b^{4} x^{4} + 630 \, a^{7} b^{3} x^{3} + 189 \, a^{8} b^{2} x^{2} + 35 \, a^{9} b x + 3 \, a^{10}}{21 \, x^{7}}"," ",0,"1/3*b^10*x^3 + 5*a*b^9*x^2 + 45*a^2*b^8*x + 120*a^3*b^7*log(x) - 1/21*(4410*a^4*b^6*x^6 + 2646*a^5*b^5*x^5 + 1470*a^6*b^4*x^4 + 630*a^7*b^3*x^3 + 189*a^8*b^2*x^2 + 35*a^9*b*x + 3*a^10)/x^7","A",0
143,1,110,0,1.422345," ","integrate((b*x+a)^10/x^9,x, algorithm=""maxima"")","\frac{1}{2} \, b^{10} x^{2} + 10 \, a b^{9} x + 45 \, a^{2} b^{8} \log\left(x\right) - \frac{6720 \, a^{3} b^{7} x^{7} + 5880 \, a^{4} b^{6} x^{6} + 4704 \, a^{5} b^{5} x^{5} + 2940 \, a^{6} b^{4} x^{4} + 1344 \, a^{7} b^{3} x^{3} + 420 \, a^{8} b^{2} x^{2} + 80 \, a^{9} b x + 7 \, a^{10}}{56 \, x^{8}}"," ",0,"1/2*b^10*x^2 + 10*a*b^9*x + 45*a^2*b^8*log(x) - 1/56*(6720*a^3*b^7*x^7 + 5880*a^4*b^6*x^6 + 4704*a^5*b^5*x^5 + 2940*a^6*b^4*x^4 + 1344*a^7*b^3*x^3 + 420*a^8*b^2*x^2 + 80*a^9*b*x + 7*a^10)/x^8","A",0
144,1,109,0,1.397674," ","integrate((b*x+a)^10/x^10,x, algorithm=""maxima"")","b^{10} x + 10 \, a b^{9} \log\left(x\right) - \frac{11340 \, a^{2} b^{8} x^{8} + 15120 \, a^{3} b^{7} x^{7} + 17640 \, a^{4} b^{6} x^{6} + 15876 \, a^{5} b^{5} x^{5} + 10584 \, a^{6} b^{4} x^{4} + 5040 \, a^{7} b^{3} x^{3} + 1620 \, a^{8} b^{2} x^{2} + 315 \, a^{9} b x + 28 \, a^{10}}{252 \, x^{9}}"," ",0,"b^10*x + 10*a*b^9*log(x) - 1/252*(11340*a^2*b^8*x^8 + 15120*a^3*b^7*x^7 + 17640*a^4*b^6*x^6 + 15876*a^5*b^5*x^5 + 10584*a^6*b^4*x^4 + 5040*a^7*b^3*x^3 + 1620*a^8*b^2*x^2 + 315*a^9*b*x + 28*a^10)/x^9","A",0
145,1,111,0,1.399848," ","integrate((b*x+a)^10/x^11,x, algorithm=""maxima"")","b^{10} \log\left(x\right) - \frac{25200 \, a b^{9} x^{9} + 56700 \, a^{2} b^{8} x^{8} + 100800 \, a^{3} b^{7} x^{7} + 132300 \, a^{4} b^{6} x^{6} + 127008 \, a^{5} b^{5} x^{5} + 88200 \, a^{6} b^{4} x^{4} + 43200 \, a^{7} b^{3} x^{3} + 14175 \, a^{8} b^{2} x^{2} + 2800 \, a^{9} b x + 252 \, a^{10}}{2520 \, x^{10}}"," ",0,"b^10*log(x) - 1/2520*(25200*a*b^9*x^9 + 56700*a^2*b^8*x^8 + 100800*a^3*b^7*x^7 + 132300*a^4*b^6*x^6 + 127008*a^5*b^5*x^5 + 88200*a^6*b^4*x^4 + 43200*a^7*b^3*x^3 + 14175*a^8*b^2*x^2 + 2800*a^9*b*x + 252*a^10)/x^10","A",0
146,1,110,0,1.334916," ","integrate((b*x+a)^10/x^12,x, algorithm=""maxima"")","-\frac{11 \, b^{10} x^{10} + 55 \, a b^{9} x^{9} + 165 \, a^{2} b^{8} x^{8} + 330 \, a^{3} b^{7} x^{7} + 462 \, a^{4} b^{6} x^{6} + 462 \, a^{5} b^{5} x^{5} + 330 \, a^{6} b^{4} x^{4} + 165 \, a^{7} b^{3} x^{3} + 55 \, a^{8} b^{2} x^{2} + 11 \, a^{9} b x + a^{10}}{11 \, x^{11}}"," ",0,"-1/11*(11*b^10*x^10 + 55*a*b^9*x^9 + 165*a^2*b^8*x^8 + 330*a^3*b^7*x^7 + 462*a^4*b^6*x^6 + 462*a^5*b^5*x^5 + 330*a^6*b^4*x^4 + 165*a^7*b^3*x^3 + 55*a^8*b^2*x^2 + 11*a^9*b*x + a^10)/x^11","B",0
147,1,112,0,1.392834," ","integrate((b*x+a)^10/x^13,x, algorithm=""maxima"")","-\frac{66 \, b^{10} x^{10} + 440 \, a b^{9} x^{9} + 1485 \, a^{2} b^{8} x^{8} + 3168 \, a^{3} b^{7} x^{7} + 4620 \, a^{4} b^{6} x^{6} + 4752 \, a^{5} b^{5} x^{5} + 3465 \, a^{6} b^{4} x^{4} + 1760 \, a^{7} b^{3} x^{3} + 594 \, a^{8} b^{2} x^{2} + 120 \, a^{9} b x + 11 \, a^{10}}{132 \, x^{12}}"," ",0,"-1/132*(66*b^10*x^10 + 440*a*b^9*x^9 + 1485*a^2*b^8*x^8 + 3168*a^3*b^7*x^7 + 4620*a^4*b^6*x^6 + 4752*a^5*b^5*x^5 + 3465*a^6*b^4*x^4 + 1760*a^7*b^3*x^3 + 594*a^8*b^2*x^2 + 120*a^9*b*x + 11*a^10)/x^12","B",0
148,1,112,0,1.372774," ","integrate((b*x+a)^10/x^14,x, algorithm=""maxima"")","-\frac{286 \, b^{10} x^{10} + 2145 \, a b^{9} x^{9} + 7722 \, a^{2} b^{8} x^{8} + 17160 \, a^{3} b^{7} x^{7} + 25740 \, a^{4} b^{6} x^{6} + 27027 \, a^{5} b^{5} x^{5} + 20020 \, a^{6} b^{4} x^{4} + 10296 \, a^{7} b^{3} x^{3} + 3510 \, a^{8} b^{2} x^{2} + 715 \, a^{9} b x + 66 \, a^{10}}{858 \, x^{13}}"," ",0,"-1/858*(286*b^10*x^10 + 2145*a*b^9*x^9 + 7722*a^2*b^8*x^8 + 17160*a^3*b^7*x^7 + 25740*a^4*b^6*x^6 + 27027*a^5*b^5*x^5 + 20020*a^6*b^4*x^4 + 10296*a^7*b^3*x^3 + 3510*a^8*b^2*x^2 + 715*a^9*b*x + 66*a^10)/x^13","B",0
149,1,112,0,1.284978," ","integrate((b*x+a)^10/x^15,x, algorithm=""maxima"")","-\frac{1001 \, b^{10} x^{10} + 8008 \, a b^{9} x^{9} + 30030 \, a^{2} b^{8} x^{8} + 68640 \, a^{3} b^{7} x^{7} + 105105 \, a^{4} b^{6} x^{6} + 112112 \, a^{5} b^{5} x^{5} + 84084 \, a^{6} b^{4} x^{4} + 43680 \, a^{7} b^{3} x^{3} + 15015 \, a^{8} b^{2} x^{2} + 3080 \, a^{9} b x + 286 \, a^{10}}{4004 \, x^{14}}"," ",0,"-1/4004*(1001*b^10*x^10 + 8008*a*b^9*x^9 + 30030*a^2*b^8*x^8 + 68640*a^3*b^7*x^7 + 105105*a^4*b^6*x^6 + 112112*a^5*b^5*x^5 + 84084*a^6*b^4*x^4 + 43680*a^7*b^3*x^3 + 15015*a^8*b^2*x^2 + 3080*a^9*b*x + 286*a^10)/x^14","A",0
150,1,112,0,1.360569," ","integrate((b*x+a)^10/x^16,x, algorithm=""maxima"")","-\frac{3003 \, b^{10} x^{10} + 25025 \, a b^{9} x^{9} + 96525 \, a^{2} b^{8} x^{8} + 225225 \, a^{3} b^{7} x^{7} + 350350 \, a^{4} b^{6} x^{6} + 378378 \, a^{5} b^{5} x^{5} + 286650 \, a^{6} b^{4} x^{4} + 150150 \, a^{7} b^{3} x^{3} + 51975 \, a^{8} b^{2} x^{2} + 10725 \, a^{9} b x + 1001 \, a^{10}}{15015 \, x^{15}}"," ",0,"-1/15015*(3003*b^10*x^10 + 25025*a*b^9*x^9 + 96525*a^2*b^8*x^8 + 225225*a^3*b^7*x^7 + 350350*a^4*b^6*x^6 + 378378*a^5*b^5*x^5 + 286650*a^6*b^4*x^4 + 150150*a^7*b^3*x^3 + 51975*a^8*b^2*x^2 + 10725*a^9*b*x + 1001*a^10)/x^15","A",0
151,1,112,0,1.387722," ","integrate((b*x+a)^10/x^17,x, algorithm=""maxima"")","-\frac{8008 \, b^{10} x^{10} + 68640 \, a b^{9} x^{9} + 270270 \, a^{2} b^{8} x^{8} + 640640 \, a^{3} b^{7} x^{7} + 1009008 \, a^{4} b^{6} x^{6} + 1100736 \, a^{5} b^{5} x^{5} + 840840 \, a^{6} b^{4} x^{4} + 443520 \, a^{7} b^{3} x^{3} + 154440 \, a^{8} b^{2} x^{2} + 32032 \, a^{9} b x + 3003 \, a^{10}}{48048 \, x^{16}}"," ",0,"-1/48048*(8008*b^10*x^10 + 68640*a*b^9*x^9 + 270270*a^2*b^8*x^8 + 640640*a^3*b^7*x^7 + 1009008*a^4*b^6*x^6 + 1100736*a^5*b^5*x^5 + 840840*a^6*b^4*x^4 + 443520*a^7*b^3*x^3 + 154440*a^8*b^2*x^2 + 32032*a^9*b*x + 3003*a^10)/x^16","A",0
152,1,112,0,1.401932," ","integrate((b*x+a)^10/x^18,x, algorithm=""maxima"")","-\frac{19448 \, b^{10} x^{10} + 170170 \, a b^{9} x^{9} + 680680 \, a^{2} b^{8} x^{8} + 1633632 \, a^{3} b^{7} x^{7} + 2598960 \, a^{4} b^{6} x^{6} + 2858856 \, a^{5} b^{5} x^{5} + 2199120 \, a^{6} b^{4} x^{4} + 1166880 \, a^{7} b^{3} x^{3} + 408408 \, a^{8} b^{2} x^{2} + 85085 \, a^{9} b x + 8008 \, a^{10}}{136136 \, x^{17}}"," ",0,"-1/136136*(19448*b^10*x^10 + 170170*a*b^9*x^9 + 680680*a^2*b^8*x^8 + 1633632*a^3*b^7*x^7 + 2598960*a^4*b^6*x^6 + 2858856*a^5*b^5*x^5 + 2199120*a^6*b^4*x^4 + 1166880*a^7*b^3*x^3 + 408408*a^8*b^2*x^2 + 85085*a^9*b*x + 8008*a^10)/x^17","A",0
153,1,112,0,1.362078," ","integrate((b*x+a)^10/x^19,x, algorithm=""maxima"")","-\frac{43758 \, b^{10} x^{10} + 388960 \, a b^{9} x^{9} + 1575288 \, a^{2} b^{8} x^{8} + 3818880 \, a^{3} b^{7} x^{7} + 6126120 \, a^{4} b^{6} x^{6} + 6785856 \, a^{5} b^{5} x^{5} + 5250960 \, a^{6} b^{4} x^{4} + 2800512 \, a^{7} b^{3} x^{3} + 984555 \, a^{8} b^{2} x^{2} + 205920 \, a^{9} b x + 19448 \, a^{10}}{350064 \, x^{18}}"," ",0,"-1/350064*(43758*b^10*x^10 + 388960*a*b^9*x^9 + 1575288*a^2*b^8*x^8 + 3818880*a^3*b^7*x^7 + 6126120*a^4*b^6*x^6 + 6785856*a^5*b^5*x^5 + 5250960*a^6*b^4*x^4 + 2800512*a^7*b^3*x^3 + 984555*a^8*b^2*x^2 + 205920*a^9*b*x + 19448*a^10)/x^18","A",0
154,1,112,0,1.395695," ","integrate((b*x+a)^10/x^20,x, algorithm=""maxima"")","-\frac{92378 \, b^{10} x^{10} + 831402 \, a b^{9} x^{9} + 3401190 \, a^{2} b^{8} x^{8} + 8314020 \, a^{3} b^{7} x^{7} + 13430340 \, a^{4} b^{6} x^{6} + 14965236 \, a^{5} b^{5} x^{5} + 11639628 \, a^{6} b^{4} x^{4} + 6235515 \, a^{7} b^{3} x^{3} + 2200770 \, a^{8} b^{2} x^{2} + 461890 \, a^{9} b x + 43758 \, a^{10}}{831402 \, x^{19}}"," ",0,"-1/831402*(92378*b^10*x^10 + 831402*a*b^9*x^9 + 3401190*a^2*b^8*x^8 + 8314020*a^3*b^7*x^7 + 13430340*a^4*b^6*x^6 + 14965236*a^5*b^5*x^5 + 11639628*a^6*b^4*x^4 + 6235515*a^7*b^3*x^3 + 2200770*a^8*b^2*x^2 + 461890*a^9*b*x + 43758*a^10)/x^19","A",0
155,1,13,0,1.359640," ","integrate(c*(b*x+a),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} c"," ",0,"1/2*(b*x^2 + 2*a*x)*c","A",0
156,1,18,0,1.373638," ","integrate((c+d)*(b*x+a)/e,x, algorithm=""maxima"")","\frac{{\left(b x^{2} + 2 \, a x\right)} {\left(c + d\right)}}{2 \, e}"," ",0,"1/2*(b*x^2 + 2*a*x)*(c + d)/e","A",0
157,1,64,0,1.394114," ","integrate(x^5/(b*x+a),x, algorithm=""maxima"")","-\frac{a^{5} \log\left(b x + a\right)}{b^{6}} + \frac{12 \, b^{4} x^{5} - 15 \, a b^{3} x^{4} + 20 \, a^{2} b^{2} x^{3} - 30 \, a^{3} b x^{2} + 60 \, a^{4} x}{60 \, b^{5}}"," ",0,"-a^5*log(b*x + a)/b^6 + 1/60*(12*b^4*x^5 - 15*a*b^3*x^4 + 20*a^2*b^2*x^3 - 30*a^3*b*x^2 + 60*a^4*x)/b^5","A",0
158,1,52,0,1.325143," ","integrate(x^4/(b*x+a),x, algorithm=""maxima"")","\frac{a^{4} \log\left(b x + a\right)}{b^{5}} + \frac{3 \, b^{3} x^{4} - 4 \, a b^{2} x^{3} + 6 \, a^{2} b x^{2} - 12 \, a^{3} x}{12 \, b^{4}}"," ",0,"a^4*log(b*x + a)/b^5 + 1/12*(3*b^3*x^4 - 4*a*b^2*x^3 + 6*a^2*b*x^2 - 12*a^3*x)/b^4","A",0
159,1,42,0,1.236557," ","integrate(x^3/(b*x+a),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(b x + a\right)}{b^{4}} + \frac{2 \, b^{2} x^{3} - 3 \, a b x^{2} + 6 \, a^{2} x}{6 \, b^{3}}"," ",0,"-a^3*log(b*x + a)/b^4 + 1/6*(2*b^2*x^3 - 3*a*b*x^2 + 6*a^2*x)/b^3","A",0
160,1,29,0,1.374203," ","integrate(x^2/(b*x+a),x, algorithm=""maxima"")","\frac{a^{2} \log\left(b x + a\right)}{b^{3}} + \frac{b x^{2} - 2 \, a x}{2 \, b^{2}}"," ",0,"a^2*log(b*x + a)/b^3 + 1/2*(b*x^2 - 2*a*x)/b^2","A",0
161,1,18,0,1.308708," ","integrate(x/(b*x+a),x, algorithm=""maxima"")","\frac{x}{b} - \frac{a \log\left(b x + a\right)}{b^{2}}"," ",0,"x/b - a*log(b*x + a)/b^2","A",0
162,1,10,0,1.297214," ","integrate(1/(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(b x + a\right)}{b}"," ",0,"log(b*x + a)/b","A",0
163,1,18,0,1.394998," ","integrate(1/x/(b*x+a),x, algorithm=""maxima"")","-\frac{\log\left(b x + a\right)}{a} + \frac{\log\left(x\right)}{a}"," ",0,"-log(b*x + a)/a + log(x)/a","A",0
164,1,28,0,1.299574," ","integrate(1/x^2/(b*x+a),x, algorithm=""maxima"")","\frac{b \log\left(b x + a\right)}{a^{2}} - \frac{b \log\left(x\right)}{a^{2}} - \frac{1}{a x}"," ",0,"b*log(b*x + a)/a^2 - b*log(x)/a^2 - 1/(a*x)","A",0
165,1,40,0,1.336999," ","integrate(1/x^3/(b*x+a),x, algorithm=""maxima"")","-\frac{b^{2} \log\left(b x + a\right)}{a^{3}} + \frac{b^{2} \log\left(x\right)}{a^{3}} + \frac{2 \, b x - a}{2 \, a^{2} x^{2}}"," ",0,"-b^2*log(b*x + a)/a^3 + b^2*log(x)/a^3 + 1/2*(2*b*x - a)/(a^2*x^2)","A",0
166,1,51,0,1.353415," ","integrate(1/x^4/(b*x+a),x, algorithm=""maxima"")","\frac{b^{3} \log\left(b x + a\right)}{a^{4}} - \frac{b^{3} \log\left(x\right)}{a^{4}} - \frac{6 \, b^{2} x^{2} - 3 \, a b x + 2 \, a^{2}}{6 \, a^{3} x^{3}}"," ",0,"b^3*log(b*x + a)/a^4 - b^3*log(x)/a^4 - 1/6*(6*b^2*x^2 - 3*a*b*x + 2*a^2)/(a^3*x^3)","A",0
167,1,62,0,1.364817," ","integrate(1/x^5/(b*x+a),x, algorithm=""maxima"")","-\frac{b^{4} \log\left(b x + a\right)}{a^{5}} + \frac{b^{4} \log\left(x\right)}{a^{5}} + \frac{12 \, b^{3} x^{3} - 6 \, a b^{2} x^{2} + 4 \, a^{2} b x - 3 \, a^{3}}{12 \, a^{4} x^{4}}"," ",0,"-b^4*log(b*x + a)/a^5 + b^4*log(x)/a^5 + 1/12*(12*b^3*x^3 - 6*a*b^2*x^2 + 4*a^2*b*x - 3*a^3)/(a^4*x^4)","A",0
168,1,82,0,1.332303," ","integrate(x^6/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{a^{6}}{b^{8} x + a b^{7}} - \frac{6 \, a^{5} \log\left(b x + a\right)}{b^{7}} + \frac{2 \, b^{4} x^{5} - 5 \, a b^{3} x^{4} + 10 \, a^{2} b^{2} x^{3} - 20 \, a^{3} b x^{2} + 50 \, a^{4} x}{10 \, b^{6}}"," ",0,"-a^6/(b^8*x + a*b^7) - 6*a^5*log(b*x + a)/b^7 + 1/10*(2*b^4*x^5 - 5*a*b^3*x^4 + 10*a^2*b^2*x^3 - 20*a^3*b*x^2 + 50*a^4*x)/b^6","A",0
169,1,70,0,1.327051," ","integrate(x^5/(b*x+a)^2,x, algorithm=""maxima"")","\frac{a^{5}}{b^{7} x + a b^{6}} + \frac{5 \, a^{4} \log\left(b x + a\right)}{b^{6}} + \frac{3 \, b^{3} x^{4} - 8 \, a b^{2} x^{3} + 18 \, a^{2} b x^{2} - 48 \, a^{3} x}{12 \, b^{5}}"," ",0,"a^5/(b^7*x + a*b^6) + 5*a^4*log(b*x + a)/b^6 + 1/12*(3*b^3*x^4 - 8*a*b^2*x^3 + 18*a^2*b*x^2 - 48*a^3*x)/b^5","A",0
170,1,59,0,1.367418," ","integrate(x^4/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{a^{4}}{b^{6} x + a b^{5}} - \frac{4 \, a^{3} \log\left(b x + a\right)}{b^{5}} + \frac{b^{2} x^{3} - 3 \, a b x^{2} + 9 \, a^{2} x}{3 \, b^{4}}"," ",0,"-a^4/(b^6*x + a*b^5) - 4*a^3*log(b*x + a)/b^5 + 1/3*(b^2*x^3 - 3*a*b*x^2 + 9*a^2*x)/b^4","A",0
171,1,47,0,1.356571," ","integrate(x^3/(b*x+a)^2,x, algorithm=""maxima"")","\frac{a^{3}}{b^{5} x + a b^{4}} + \frac{3 \, a^{2} \log\left(b x + a\right)}{b^{4}} + \frac{b x^{2} - 4 \, a x}{2 \, b^{3}}"," ",0,"a^3/(b^5*x + a*b^4) + 3*a^2*log(b*x + a)/b^4 + 1/2*(b*x^2 - 4*a*x)/b^3","A",0
172,1,36,0,1.340700," ","integrate(x^2/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{a^{2}}{b^{4} x + a b^{3}} + \frac{x}{b^{2}} - \frac{2 \, a \log\left(b x + a\right)}{b^{3}}"," ",0,"-a^2/(b^4*x + a*b^3) + x/b^2 - 2*a*log(b*x + a)/b^3","A",0
173,1,26,0,1.320166," ","integrate(x/(b*x+a)^2,x, algorithm=""maxima"")","\frac{a}{b^{3} x + a b^{2}} + \frac{\log\left(b x + a\right)}{b^{2}}"," ",0,"a/(b^3*x + a*b^2) + log(b*x + a)/b^2","A",0
174,1,12,0,1.375573," ","integrate(1/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{{\left(b x + a\right)} b}"," ",0,"-1/((b*x + a)*b)","A",0
175,1,28,0,1.302139," ","integrate(1/x/(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{a b x + a^{2}} - \frac{\log\left(b x + a\right)}{a^{2}} + \frac{\log\left(x\right)}{a^{2}}"," ",0,"1/(a*b*x + a^2) - log(b*x + a)/a^2 + log(x)/a^2","A",0
176,1,45,0,1.392554," ","integrate(1/x^2/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{2 \, b x + a}{a^{2} b x^{2} + a^{3} x} + \frac{2 \, b \log\left(b x + a\right)}{a^{3}} - \frac{2 \, b \log\left(x\right)}{a^{3}}"," ",0,"-(2*b*x + a)/(a^2*b*x^2 + a^3*x) + 2*b*log(b*x + a)/a^3 - 2*b*log(x)/a^3","A",0
177,1,64,0,1.404830," ","integrate(1/x^3/(b*x+a)^2,x, algorithm=""maxima"")","\frac{6 \, b^{2} x^{2} + 3 \, a b x - a^{2}}{2 \, {\left(a^{3} b x^{3} + a^{4} x^{2}\right)}} - \frac{3 \, b^{2} \log\left(b x + a\right)}{a^{4}} + \frac{3 \, b^{2} \log\left(x\right)}{a^{4}}"," ",0,"1/2*(6*b^2*x^2 + 3*a*b*x - a^2)/(a^3*b*x^3 + a^4*x^2) - 3*b^2*log(b*x + a)/a^4 + 3*b^2*log(x)/a^4","A",0
178,1,73,0,1.409818," ","integrate(1/x^4/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{12 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} - 2 \, a^{2} b x + a^{3}}{3 \, {\left(a^{4} b x^{4} + a^{5} x^{3}\right)}} + \frac{4 \, b^{3} \log\left(b x + a\right)}{a^{5}} - \frac{4 \, b^{3} \log\left(x\right)}{a^{5}}"," ",0,"-1/3*(12*b^3*x^3 + 6*a*b^2*x^2 - 2*a^2*b*x + a^3)/(a^4*b*x^4 + a^5*x^3) + 4*b^3*log(b*x + a)/a^5 - 4*b^3*log(x)/a^5","A",0
179,1,86,0,1.340218," ","integrate(1/x^5/(b*x+a)^2,x, algorithm=""maxima"")","\frac{60 \, b^{4} x^{4} + 30 \, a b^{3} x^{3} - 10 \, a^{2} b^{2} x^{2} + 5 \, a^{3} b x - 3 \, a^{4}}{12 \, {\left(a^{5} b x^{5} + a^{6} x^{4}\right)}} - \frac{5 \, b^{4} \log\left(b x + a\right)}{a^{6}} + \frac{5 \, b^{4} \log\left(x\right)}{a^{6}}"," ",0,"1/12*(60*b^4*x^4 + 30*a*b^3*x^3 - 10*a^2*b^2*x^2 + 5*a^3*b*x - 3*a^4)/(a^5*b*x^5 + a^6*x^4) - 5*b^4*log(b*x + a)/a^6 + 5*b^4*log(x)/a^6","A",0
180,1,103,0,1.385526," ","integrate(x^7/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{14 \, a^{6} b x + 13 \, a^{7}}{2 \, {\left(b^{10} x^{2} + 2 \, a b^{9} x + a^{2} b^{8}\right)}} - \frac{21 \, a^{5} \log\left(b x + a\right)}{b^{8}} + \frac{4 \, b^{4} x^{5} - 15 \, a b^{3} x^{4} + 40 \, a^{2} b^{2} x^{3} - 100 \, a^{3} b x^{2} + 300 \, a^{4} x}{20 \, b^{7}}"," ",0,"-1/2*(14*a^6*b*x + 13*a^7)/(b^10*x^2 + 2*a*b^9*x + a^2*b^8) - 21*a^5*log(b*x + a)/b^8 + 1/20*(4*b^4*x^5 - 15*a*b^3*x^4 + 40*a^2*b^2*x^3 - 100*a^3*b*x^2 + 300*a^4*x)/b^7","A",0
181,1,91,0,1.395465," ","integrate(x^6/(b*x+a)^3,x, algorithm=""maxima"")","\frac{12 \, a^{5} b x + 11 \, a^{6}}{2 \, {\left(b^{9} x^{2} + 2 \, a b^{8} x + a^{2} b^{7}\right)}} + \frac{15 \, a^{4} \log\left(b x + a\right)}{b^{7}} + \frac{b^{3} x^{4} - 4 \, a b^{2} x^{3} + 12 \, a^{2} b x^{2} - 40 \, a^{3} x}{4 \, b^{6}}"," ",0,"1/2*(12*a^5*b*x + 11*a^6)/(b^9*x^2 + 2*a*b^8*x + a^2*b^7) + 15*a^4*log(b*x + a)/b^7 + 1/4*(b^3*x^4 - 4*a*b^2*x^3 + 12*a^2*b*x^2 - 40*a^3*x)/b^6","A",0
182,1,81,0,1.357123," ","integrate(x^5/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{10 \, a^{4} b x + 9 \, a^{5}}{2 \, {\left(b^{8} x^{2} + 2 \, a b^{7} x + a^{2} b^{6}\right)}} - \frac{10 \, a^{3} \log\left(b x + a\right)}{b^{6}} + \frac{2 \, b^{2} x^{3} - 9 \, a b x^{2} + 36 \, a^{2} x}{6 \, b^{5}}"," ",0,"-1/2*(10*a^4*b*x + 9*a^5)/(b^8*x^2 + 2*a*b^7*x + a^2*b^6) - 10*a^3*log(b*x + a)/b^6 + 1/6*(2*b^2*x^3 - 9*a*b*x^2 + 36*a^2*x)/b^5","A",0
183,1,69,0,1.331638," ","integrate(x^4/(b*x+a)^3,x, algorithm=""maxima"")","\frac{8 \, a^{3} b x + 7 \, a^{4}}{2 \, {\left(b^{7} x^{2} + 2 \, a b^{6} x + a^{2} b^{5}\right)}} + \frac{6 \, a^{2} \log\left(b x + a\right)}{b^{5}} + \frac{b x^{2} - 6 \, a x}{2 \, b^{4}}"," ",0,"1/2*(8*a^3*b*x + 7*a^4)/(b^7*x^2 + 2*a*b^6*x + a^2*b^5) + 6*a^2*log(b*x + a)/b^5 + 1/2*(b*x^2 - 6*a*x)/b^4","A",0
184,1,57,0,1.314820," ","integrate(x^3/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{6 \, a^{2} b x + 5 \, a^{3}}{2 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}} + \frac{x}{b^{3}} - \frac{3 \, a \log\left(b x + a\right)}{b^{4}}"," ",0,"-1/2*(6*a^2*b*x + 5*a^3)/(b^6*x^2 + 2*a*b^5*x + a^2*b^4) + x/b^3 - 3*a*log(b*x + a)/b^4","A",0
185,1,48,0,1.341218," ","integrate(x^2/(b*x+a)^3,x, algorithm=""maxima"")","\frac{4 \, a b x + 3 \, a^{2}}{2 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}} + \frac{\log\left(b x + a\right)}{b^{3}}"," ",0,"1/2*(4*a*b*x + 3*a^2)/(b^5*x^2 + 2*a*b^4*x + a^2*b^3) + log(b*x + a)/b^3","A",0
186,1,32,0,1.392331," ","integrate(x/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{2 \, b x + a}{2 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}}"," ",0,"-1/2*(2*b*x + a)/(b^4*x^2 + 2*a*b^3*x + a^2*b^2)","B",0
187,1,12,0,1.286570," ","integrate(1/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(b x + a\right)}^{2} b}"," ",0,"-1/2/((b*x + a)^2*b)","A",0
188,1,51,0,1.348681," ","integrate(1/x/(b*x+a)^3,x, algorithm=""maxima"")","\frac{2 \, b x + 3 \, a}{2 \, {\left(a^{2} b^{2} x^{2} + 2 \, a^{3} b x + a^{4}\right)}} - \frac{\log\left(b x + a\right)}{a^{3}} + \frac{\log\left(x\right)}{a^{3}}"," ",0,"1/2*(2*b*x + 3*a)/(a^2*b^2*x^2 + 2*a^3*b*x + a^4) - log(b*x + a)/a^3 + log(x)/a^3","A",0
189,1,69,0,1.318011," ","integrate(1/x^2/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{6 \, b^{2} x^{2} + 9 \, a b x + 2 \, a^{2}}{2 \, {\left(a^{3} b^{2} x^{3} + 2 \, a^{4} b x^{2} + a^{5} x\right)}} + \frac{3 \, b \log\left(b x + a\right)}{a^{4}} - \frac{3 \, b \log\left(x\right)}{a^{4}}"," ",0,"-1/2*(6*b^2*x^2 + 9*a*b*x + 2*a^2)/(a^3*b^2*x^3 + 2*a^4*b*x^2 + a^5*x) + 3*b*log(b*x + a)/a^4 - 3*b*log(x)/a^4","A",0
190,1,86,0,1.371066," ","integrate(1/x^3/(b*x+a)^3,x, algorithm=""maxima"")","\frac{12 \, b^{3} x^{3} + 18 \, a b^{2} x^{2} + 4 \, a^{2} b x - a^{3}}{2 \, {\left(a^{4} b^{2} x^{4} + 2 \, a^{5} b x^{3} + a^{6} x^{2}\right)}} - \frac{6 \, b^{2} \log\left(b x + a\right)}{a^{5}} + \frac{6 \, b^{2} \log\left(x\right)}{a^{5}}"," ",0,"1/2*(12*b^3*x^3 + 18*a*b^2*x^2 + 4*a^2*b*x - a^3)/(a^4*b^2*x^4 + 2*a^5*b*x^3 + a^6*x^2) - 6*b^2*log(b*x + a)/a^5 + 6*b^2*log(x)/a^5","A",0
191,1,97,0,1.455827," ","integrate(1/x^4/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{60 \, b^{4} x^{4} + 90 \, a b^{3} x^{3} + 20 \, a^{2} b^{2} x^{2} - 5 \, a^{3} b x + 2 \, a^{4}}{6 \, {\left(a^{5} b^{2} x^{5} + 2 \, a^{6} b x^{4} + a^{7} x^{3}\right)}} + \frac{10 \, b^{3} \log\left(b x + a\right)}{a^{6}} - \frac{10 \, b^{3} \log\left(x\right)}{a^{6}}"," ",0,"-1/6*(60*b^4*x^4 + 90*a*b^3*x^3 + 20*a^2*b^2*x^2 - 5*a^3*b*x + 2*a^4)/(a^5*b^2*x^5 + 2*a^6*b*x^4 + a^7*x^3) + 10*b^3*log(b*x + a)/a^6 - 10*b^3*log(x)/a^6","A",0
192,1,108,0,1.348130," ","integrate(1/x^5/(b*x+a)^3,x, algorithm=""maxima"")","\frac{60 \, b^{5} x^{5} + 90 \, a b^{4} x^{4} + 20 \, a^{2} b^{3} x^{3} - 5 \, a^{3} b^{2} x^{2} + 2 \, a^{4} b x - a^{5}}{4 \, {\left(a^{6} b^{2} x^{6} + 2 \, a^{7} b x^{5} + a^{8} x^{4}\right)}} - \frac{15 \, b^{4} \log\left(b x + a\right)}{a^{7}} + \frac{15 \, b^{4} \log\left(x\right)}{a^{7}}"," ",0,"1/4*(60*b^5*x^5 + 90*a*b^4*x^4 + 20*a^2*b^3*x^3 - 5*a^3*b^2*x^2 + 2*a^4*b*x - a^5)/(a^6*b^2*x^6 + 2*a^7*b*x^5 + a^8*x^4) - 15*b^4*log(b*x + a)/a^7 + 15*b^4*log(x)/a^7","A",0
193,1,125,0,1.435436," ","integrate(x^8/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{84 \, a^{6} b^{2} x^{2} + 156 \, a^{7} b x + 73 \, a^{8}}{3 \, {\left(b^{12} x^{3} + 3 \, a b^{11} x^{2} + 3 \, a^{2} b^{10} x + a^{3} b^{9}\right)}} - \frac{56 \, a^{5} \log\left(b x + a\right)}{b^{9}} + \frac{3 \, b^{4} x^{5} - 15 \, a b^{3} x^{4} + 50 \, a^{2} b^{2} x^{3} - 150 \, a^{3} b x^{2} + 525 \, a^{4} x}{15 \, b^{8}}"," ",0,"-1/3*(84*a^6*b^2*x^2 + 156*a^7*b*x + 73*a^8)/(b^12*x^3 + 3*a*b^11*x^2 + 3*a^2*b^10*x + a^3*b^9) - 56*a^5*log(b*x + a)/b^9 + 1/15*(3*b^4*x^5 - 15*a*b^3*x^4 + 50*a^2*b^2*x^3 - 150*a^3*b*x^2 + 525*a^4*x)/b^8","A",0
194,1,114,0,1.394898," ","integrate(x^7/(b*x+a)^4,x, algorithm=""maxima"")","\frac{126 \, a^{5} b^{2} x^{2} + 231 \, a^{6} b x + 107 \, a^{7}}{6 \, {\left(b^{11} x^{3} + 3 \, a b^{10} x^{2} + 3 \, a^{2} b^{9} x + a^{3} b^{8}\right)}} + \frac{35 \, a^{4} \log\left(b x + a\right)}{b^{8}} + \frac{3 \, b^{3} x^{4} - 16 \, a b^{2} x^{3} + 60 \, a^{2} b x^{2} - 240 \, a^{3} x}{12 \, b^{7}}"," ",0,"1/6*(126*a^5*b^2*x^2 + 231*a^6*b*x + 107*a^7)/(b^11*x^3 + 3*a*b^10*x^2 + 3*a^2*b^9*x + a^3*b^8) + 35*a^4*log(b*x + a)/b^8 + 1/12*(3*b^3*x^4 - 16*a*b^2*x^3 + 60*a^2*b*x^2 - 240*a^3*x)/b^7","A",0
195,1,102,0,1.421771," ","integrate(x^6/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{45 \, a^{4} b^{2} x^{2} + 81 \, a^{5} b x + 37 \, a^{6}}{3 \, {\left(b^{10} x^{3} + 3 \, a b^{9} x^{2} + 3 \, a^{2} b^{8} x + a^{3} b^{7}\right)}} - \frac{20 \, a^{3} \log\left(b x + a\right)}{b^{7}} + \frac{b^{2} x^{3} - 6 \, a b x^{2} + 30 \, a^{2} x}{3 \, b^{6}}"," ",0,"-1/3*(45*a^4*b^2*x^2 + 81*a^5*b*x + 37*a^6)/(b^10*x^3 + 3*a*b^9*x^2 + 3*a^2*b^8*x + a^3*b^7) - 20*a^3*log(b*x + a)/b^7 + 1/3*(b^2*x^3 - 6*a*b*x^2 + 30*a^2*x)/b^6","A",0
196,1,91,0,1.458220," ","integrate(x^5/(b*x+a)^4,x, algorithm=""maxima"")","\frac{60 \, a^{3} b^{2} x^{2} + 105 \, a^{4} b x + 47 \, a^{5}}{6 \, {\left(b^{9} x^{3} + 3 \, a b^{8} x^{2} + 3 \, a^{2} b^{7} x + a^{3} b^{6}\right)}} + \frac{10 \, a^{2} \log\left(b x + a\right)}{b^{6}} + \frac{b x^{2} - 8 \, a x}{2 \, b^{5}}"," ",0,"1/6*(60*a^3*b^2*x^2 + 105*a^4*b*x + 47*a^5)/(b^9*x^3 + 3*a*b^8*x^2 + 3*a^2*b^7*x + a^3*b^6) + 10*a^2*log(b*x + a)/b^6 + 1/2*(b*x^2 - 8*a*x)/b^5","A",0
197,1,79,0,1.405231," ","integrate(x^4/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{18 \, a^{2} b^{2} x^{2} + 30 \, a^{3} b x + 13 \, a^{4}}{3 \, {\left(b^{8} x^{3} + 3 \, a b^{7} x^{2} + 3 \, a^{2} b^{6} x + a^{3} b^{5}\right)}} + \frac{x}{b^{4}} - \frac{4 \, a \log\left(b x + a\right)}{b^{5}}"," ",0,"-1/3*(18*a^2*b^2*x^2 + 30*a^3*b*x + 13*a^4)/(b^8*x^3 + 3*a*b^7*x^2 + 3*a^2*b^6*x + a^3*b^5) + x/b^4 - 4*a*log(b*x + a)/b^5","A",0
198,1,70,0,1.391150," ","integrate(x^3/(b*x+a)^4,x, algorithm=""maxima"")","\frac{18 \, a b^{2} x^{2} + 27 \, a^{2} b x + 11 \, a^{3}}{6 \, {\left(b^{7} x^{3} + 3 \, a b^{6} x^{2} + 3 \, a^{2} b^{5} x + a^{3} b^{4}\right)}} + \frac{\log\left(b x + a\right)}{b^{4}}"," ",0,"1/6*(18*a*b^2*x^2 + 27*a^2*b*x + 11*a^3)/(b^7*x^3 + 3*a*b^6*x^2 + 3*a^2*b^5*x + a^3*b^4) + log(b*x + a)/b^4","A",0
199,1,54,0,1.404676," ","integrate(x^2/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{3 \, b^{2} x^{2} + 3 \, a b x + a^{2}}{3 \, {\left(b^{6} x^{3} + 3 \, a b^{5} x^{2} + 3 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}"," ",0,"-1/3*(3*b^2*x^2 + 3*a*b*x + a^2)/(b^6*x^3 + 3*a*b^5*x^2 + 3*a^2*b^4*x + a^3*b^3)","B",0
200,1,43,0,1.374463," ","integrate(x/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{3 \, b x + a}{6 \, {\left(b^{5} x^{3} + 3 \, a b^{4} x^{2} + 3 \, a^{2} b^{3} x + a^{3} b^{2}\right)}}"," ",0,"-1/6*(3*b*x + a)/(b^5*x^3 + 3*a*b^4*x^2 + 3*a^2*b^3*x + a^3*b^2)","A",0
201,1,12,0,1.378596," ","integrate(1/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(b x + a\right)}^{3} b}"," ",0,"-1/3/((b*x + a)^3*b)","A",0
202,1,73,0,1.466366," ","integrate(1/x/(b*x+a)^4,x, algorithm=""maxima"")","\frac{6 \, b^{2} x^{2} + 15 \, a b x + 11 \, a^{2}}{6 \, {\left(a^{3} b^{3} x^{3} + 3 \, a^{4} b^{2} x^{2} + 3 \, a^{5} b x + a^{6}\right)}} - \frac{\log\left(b x + a\right)}{a^{4}} + \frac{\log\left(x\right)}{a^{4}}"," ",0,"1/6*(6*b^2*x^2 + 15*a*b*x + 11*a^2)/(a^3*b^3*x^3 + 3*a^4*b^2*x^2 + 3*a^5*b*x + a^6) - log(b*x + a)/a^4 + log(x)/a^4","A",0
203,1,91,0,1.400848," ","integrate(1/x^2/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{12 \, b^{3} x^{3} + 30 \, a b^{2} x^{2} + 22 \, a^{2} b x + 3 \, a^{3}}{3 \, {\left(a^{4} b^{3} x^{4} + 3 \, a^{5} b^{2} x^{3} + 3 \, a^{6} b x^{2} + a^{7} x\right)}} + \frac{4 \, b \log\left(b x + a\right)}{a^{5}} - \frac{4 \, b \log\left(x\right)}{a^{5}}"," ",0,"-1/3*(12*b^3*x^3 + 30*a*b^2*x^2 + 22*a^2*b*x + 3*a^3)/(a^4*b^3*x^4 + 3*a^5*b^2*x^3 + 3*a^6*b*x^2 + a^7*x) + 4*b*log(b*x + a)/a^5 - 4*b*log(x)/a^5","A",0
204,1,108,0,1.412522," ","integrate(1/x^3/(b*x+a)^4,x, algorithm=""maxima"")","\frac{60 \, b^{4} x^{4} + 150 \, a b^{3} x^{3} + 110 \, a^{2} b^{2} x^{2} + 15 \, a^{3} b x - 3 \, a^{4}}{6 \, {\left(a^{5} b^{3} x^{5} + 3 \, a^{6} b^{2} x^{4} + 3 \, a^{7} b x^{3} + a^{8} x^{2}\right)}} - \frac{10 \, b^{2} \log\left(b x + a\right)}{a^{6}} + \frac{10 \, b^{2} \log\left(x\right)}{a^{6}}"," ",0,"1/6*(60*b^4*x^4 + 150*a*b^3*x^3 + 110*a^2*b^2*x^2 + 15*a^3*b*x - 3*a^4)/(a^5*b^3*x^5 + 3*a^6*b^2*x^4 + 3*a^7*b*x^3 + a^8*x^2) - 10*b^2*log(b*x + a)/a^6 + 10*b^2*log(x)/a^6","A",0
205,1,117,0,1.404629," ","integrate(1/x^4/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{60 \, b^{5} x^{5} + 150 \, a b^{4} x^{4} + 110 \, a^{2} b^{3} x^{3} + 15 \, a^{3} b^{2} x^{2} - 3 \, a^{4} b x + a^{5}}{3 \, {\left(a^{6} b^{3} x^{6} + 3 \, a^{7} b^{2} x^{5} + 3 \, a^{8} b x^{4} + a^{9} x^{3}\right)}} + \frac{20 \, b^{3} \log\left(b x + a\right)}{a^{7}} - \frac{20 \, b^{3} \log\left(x\right)}{a^{7}}"," ",0,"-1/3*(60*b^5*x^5 + 150*a*b^4*x^4 + 110*a^2*b^3*x^3 + 15*a^3*b^2*x^2 - 3*a^4*b*x + a^5)/(a^6*b^3*x^6 + 3*a^7*b^2*x^5 + 3*a^8*b*x^4 + a^9*x^3) + 20*b^3*log(b*x + a)/a^7 - 20*b^3*log(x)/a^7","A",0
206,1,130,0,1.389925," ","integrate(1/x^5/(b*x+a)^4,x, algorithm=""maxima"")","\frac{420 \, b^{6} x^{6} + 1050 \, a b^{5} x^{5} + 770 \, a^{2} b^{4} x^{4} + 105 \, a^{3} b^{3} x^{3} - 21 \, a^{4} b^{2} x^{2} + 7 \, a^{5} b x - 3 \, a^{6}}{12 \, {\left(a^{7} b^{3} x^{7} + 3 \, a^{8} b^{2} x^{6} + 3 \, a^{9} b x^{5} + a^{10} x^{4}\right)}} - \frac{35 \, b^{4} \log\left(b x + a\right)}{a^{8}} + \frac{35 \, b^{4} \log\left(x\right)}{a^{8}}"," ",0,"1/12*(420*b^6*x^6 + 1050*a*b^5*x^5 + 770*a^2*b^4*x^4 + 105*a^3*b^3*x^3 - 21*a^4*b^2*x^2 + 7*a^5*b*x - 3*a^6)/(a^7*b^3*x^7 + 3*a^8*b^2*x^6 + 3*a^9*b*x^5 + a^10*x^4) - 35*b^4*log(b*x + a)/a^8 + 35*b^4*log(x)/a^8","A",0
207,1,180,0,1.472466," ","integrate(x^10/(b*x+a)^7,x, algorithm=""maxima"")","\frac{3024 \, a^{5} b^{5} x^{5} + 13860 \, a^{6} b^{4} x^{4} + 25680 \, a^{7} b^{3} x^{3} + 23985 \, a^{8} b^{2} x^{2} + 11274 \, a^{9} b x + 2131 \, a^{10}}{12 \, {\left(b^{17} x^{6} + 6 \, a b^{16} x^{5} + 15 \, a^{2} b^{15} x^{4} + 20 \, a^{3} b^{14} x^{3} + 15 \, a^{4} b^{13} x^{2} + 6 \, a^{5} b^{12} x + a^{6} b^{11}\right)}} + \frac{210 \, a^{4} \log\left(b x + a\right)}{b^{11}} + \frac{3 \, b^{3} x^{4} - 28 \, a b^{2} x^{3} + 168 \, a^{2} b x^{2} - 1008 \, a^{3} x}{12 \, b^{10}}"," ",0,"1/12*(3024*a^5*b^5*x^5 + 13860*a^6*b^4*x^4 + 25680*a^7*b^3*x^3 + 23985*a^8*b^2*x^2 + 11274*a^9*b*x + 2131*a^10)/(b^17*x^6 + 6*a*b^16*x^5 + 15*a^2*b^15*x^4 + 20*a^3*b^14*x^3 + 15*a^4*b^13*x^2 + 6*a^5*b^12*x + a^6*b^11) + 210*a^4*log(b*x + a)/b^11 + 1/12*(3*b^3*x^4 - 28*a*b^2*x^3 + 168*a^2*b*x^2 - 1008*a^3*x)/b^10","A",0
208,1,169,0,1.586758," ","integrate(x^9/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{3780 \, a^{4} b^{5} x^{5} + 17010 \, a^{5} b^{4} x^{4} + 31080 \, a^{6} b^{3} x^{3} + 28710 \, a^{7} b^{2} x^{2} + 13374 \, a^{8} b x + 2509 \, a^{9}}{30 \, {\left(b^{16} x^{6} + 6 \, a b^{15} x^{5} + 15 \, a^{2} b^{14} x^{4} + 20 \, a^{3} b^{13} x^{3} + 15 \, a^{4} b^{12} x^{2} + 6 \, a^{5} b^{11} x + a^{6} b^{10}\right)}} - \frac{84 \, a^{3} \log\left(b x + a\right)}{b^{10}} + \frac{2 \, b^{2} x^{3} - 21 \, a b x^{2} + 168 \, a^{2} x}{6 \, b^{9}}"," ",0,"-1/30*(3780*a^4*b^5*x^5 + 17010*a^5*b^4*x^4 + 31080*a^6*b^3*x^3 + 28710*a^7*b^2*x^2 + 13374*a^8*b*x + 2509*a^9)/(b^16*x^6 + 6*a*b^15*x^5 + 15*a^2*b^14*x^4 + 20*a^3*b^13*x^3 + 15*a^4*b^12*x^2 + 6*a^5*b^11*x + a^6*b^10) - 84*a^3*log(b*x + a)/b^10 + 1/6*(2*b^2*x^3 - 21*a*b*x^2 + 168*a^2*x)/b^9","A",0
209,1,157,0,1.563650," ","integrate(x^8/(b*x+a)^7,x, algorithm=""maxima"")","\frac{1680 \, a^{3} b^{5} x^{5} + 7350 \, a^{4} b^{4} x^{4} + 13160 \, a^{5} b^{3} x^{3} + 11970 \, a^{6} b^{2} x^{2} + 5508 \, a^{7} b x + 1023 \, a^{8}}{30 \, {\left(b^{15} x^{6} + 6 \, a b^{14} x^{5} + 15 \, a^{2} b^{13} x^{4} + 20 \, a^{3} b^{12} x^{3} + 15 \, a^{4} b^{11} x^{2} + 6 \, a^{5} b^{10} x + a^{6} b^{9}\right)}} + \frac{28 \, a^{2} \log\left(b x + a\right)}{b^{9}} + \frac{b x^{2} - 14 \, a x}{2 \, b^{8}}"," ",0,"1/30*(1680*a^3*b^5*x^5 + 7350*a^4*b^4*x^4 + 13160*a^5*b^3*x^3 + 11970*a^6*b^2*x^2 + 5508*a^7*b*x + 1023*a^8)/(b^15*x^6 + 6*a*b^14*x^5 + 15*a^2*b^13*x^4 + 20*a^3*b^12*x^3 + 15*a^4*b^11*x^2 + 6*a^5*b^10*x + a^6*b^9) + 28*a^2*log(b*x + a)/b^9 + 1/2*(b*x^2 - 14*a*x)/b^8","A",0
210,1,145,0,1.490142," ","integrate(x^7/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{1260 \, a^{2} b^{5} x^{5} + 5250 \, a^{3} b^{4} x^{4} + 9100 \, a^{4} b^{3} x^{3} + 8085 \, a^{5} b^{2} x^{2} + 3654 \, a^{6} b x + 669 \, a^{7}}{60 \, {\left(b^{14} x^{6} + 6 \, a b^{13} x^{5} + 15 \, a^{2} b^{12} x^{4} + 20 \, a^{3} b^{11} x^{3} + 15 \, a^{4} b^{10} x^{2} + 6 \, a^{5} b^{9} x + a^{6} b^{8}\right)}} + \frac{x}{b^{7}} - \frac{7 \, a \log\left(b x + a\right)}{b^{8}}"," ",0,"-1/60*(1260*a^2*b^5*x^5 + 5250*a^3*b^4*x^4 + 9100*a^4*b^3*x^3 + 8085*a^5*b^2*x^2 + 3654*a^6*b*x + 669*a^7)/(b^14*x^6 + 6*a*b^13*x^5 + 15*a^2*b^12*x^4 + 20*a^3*b^11*x^3 + 15*a^4*b^10*x^2 + 6*a^5*b^9*x + a^6*b^8) + x/b^7 - 7*a*log(b*x + a)/b^8","A",0
211,1,136,0,1.447947," ","integrate(x^6/(b*x+a)^7,x, algorithm=""maxima"")","\frac{360 \, a b^{5} x^{5} + 1350 \, a^{2} b^{4} x^{4} + 2200 \, a^{3} b^{3} x^{3} + 1875 \, a^{4} b^{2} x^{2} + 822 \, a^{5} b x + 147 \, a^{6}}{60 \, {\left(b^{13} x^{6} + 6 \, a b^{12} x^{5} + 15 \, a^{2} b^{11} x^{4} + 20 \, a^{3} b^{10} x^{3} + 15 \, a^{4} b^{9} x^{2} + 6 \, a^{5} b^{8} x + a^{6} b^{7}\right)}} + \frac{\log\left(b x + a\right)}{b^{7}}"," ",0,"1/60*(360*a*b^5*x^5 + 1350*a^2*b^4*x^4 + 2200*a^3*b^3*x^3 + 1875*a^4*b^2*x^2 + 822*a^5*b*x + 147*a^6)/(b^13*x^6 + 6*a*b^12*x^5 + 15*a^2*b^11*x^4 + 20*a^3*b^10*x^3 + 15*a^4*b^9*x^2 + 6*a^5*b^8*x + a^6*b^7) + log(b*x + a)/b^7","A",0
212,1,120,0,1.434477," ","integrate(x^5/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{6 \, b^{5} x^{5} + 15 \, a b^{4} x^{4} + 20 \, a^{2} b^{3} x^{3} + 15 \, a^{3} b^{2} x^{2} + 6 \, a^{4} b x + a^{5}}{6 \, {\left(b^{12} x^{6} + 6 \, a b^{11} x^{5} + 15 \, a^{2} b^{10} x^{4} + 20 \, a^{3} b^{9} x^{3} + 15 \, a^{4} b^{8} x^{2} + 6 \, a^{5} b^{7} x + a^{6} b^{6}\right)}}"," ",0,"-1/6*(6*b^5*x^5 + 15*a*b^4*x^4 + 20*a^2*b^3*x^3 + 15*a^3*b^2*x^2 + 6*a^4*b*x + a^5)/(b^12*x^6 + 6*a*b^11*x^5 + 15*a^2*b^10*x^4 + 20*a^3*b^9*x^3 + 15*a^4*b^8*x^2 + 6*a^5*b^7*x + a^6*b^6)","B",0
213,1,109,0,1.451766," ","integrate(x^4/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{15 \, b^{4} x^{4} + 20 \, a b^{3} x^{3} + 15 \, a^{2} b^{2} x^{2} + 6 \, a^{3} b x + a^{4}}{30 \, {\left(b^{11} x^{6} + 6 \, a b^{10} x^{5} + 15 \, a^{2} b^{9} x^{4} + 20 \, a^{3} b^{8} x^{3} + 15 \, a^{4} b^{7} x^{2} + 6 \, a^{5} b^{6} x + a^{6} b^{5}\right)}}"," ",0,"-1/30*(15*b^4*x^4 + 20*a*b^3*x^3 + 15*a^2*b^2*x^2 + 6*a^3*b*x + a^4)/(b^11*x^6 + 6*a*b^10*x^5 + 15*a^2*b^9*x^4 + 20*a^3*b^8*x^3 + 15*a^4*b^7*x^2 + 6*a^5*b^6*x + a^6*b^5)","B",0
214,1,98,0,1.400743," ","integrate(x^3/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{20 \, b^{3} x^{3} + 15 \, a b^{2} x^{2} + 6 \, a^{2} b x + a^{3}}{60 \, {\left(b^{10} x^{6} + 6 \, a b^{9} x^{5} + 15 \, a^{2} b^{8} x^{4} + 20 \, a^{3} b^{7} x^{3} + 15 \, a^{4} b^{6} x^{2} + 6 \, a^{5} b^{5} x + a^{6} b^{4}\right)}}"," ",0,"-1/60*(20*b^3*x^3 + 15*a*b^2*x^2 + 6*a^2*b*x + a^3)/(b^10*x^6 + 6*a*b^9*x^5 + 15*a^2*b^8*x^4 + 20*a^3*b^7*x^3 + 15*a^4*b^6*x^2 + 6*a^5*b^5*x + a^6*b^4)","B",0
215,1,87,0,1.451206," ","integrate(x^2/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{15 \, b^{2} x^{2} + 6 \, a b x + a^{2}}{60 \, {\left(b^{9} x^{6} + 6 \, a b^{8} x^{5} + 15 \, a^{2} b^{7} x^{4} + 20 \, a^{3} b^{6} x^{3} + 15 \, a^{4} b^{5} x^{2} + 6 \, a^{5} b^{4} x + a^{6} b^{3}\right)}}"," ",0,"-1/60*(15*b^2*x^2 + 6*a*b*x + a^2)/(b^9*x^6 + 6*a*b^8*x^5 + 15*a^2*b^7*x^4 + 20*a^3*b^6*x^3 + 15*a^4*b^5*x^2 + 6*a^5*b^4*x + a^6*b^3)","B",0
216,1,76,0,1.373077," ","integrate(x/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{6 \, b x + a}{30 \, {\left(b^{8} x^{6} + 6 \, a b^{7} x^{5} + 15 \, a^{2} b^{6} x^{4} + 20 \, a^{3} b^{5} x^{3} + 15 \, a^{4} b^{4} x^{2} + 6 \, a^{5} b^{3} x + a^{6} b^{2}\right)}}"," ",0,"-1/30*(6*b*x + a)/(b^8*x^6 + 6*a*b^7*x^5 + 15*a^2*b^6*x^4 + 20*a^3*b^5*x^3 + 15*a^4*b^4*x^2 + 6*a^5*b^3*x + a^6*b^2)","B",0
217,1,12,0,1.411184," ","integrate(1/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{1}{6 \, {\left(b x + a\right)}^{6} b}"," ",0,"-1/6/((b*x + a)^6*b)","A",0
218,1,139,0,1.512400," ","integrate(1/x/(b*x+a)^7,x, algorithm=""maxima"")","\frac{60 \, b^{5} x^{5} + 330 \, a b^{4} x^{4} + 740 \, a^{2} b^{3} x^{3} + 855 \, a^{3} b^{2} x^{2} + 522 \, a^{4} b x + 147 \, a^{5}}{60 \, {\left(a^{6} b^{6} x^{6} + 6 \, a^{7} b^{5} x^{5} + 15 \, a^{8} b^{4} x^{4} + 20 \, a^{9} b^{3} x^{3} + 15 \, a^{10} b^{2} x^{2} + 6 \, a^{11} b x + a^{12}\right)}} - \frac{\log\left(b x + a\right)}{a^{7}} + \frac{\log\left(x\right)}{a^{7}}"," ",0,"1/60*(60*b^5*x^5 + 330*a*b^4*x^4 + 740*a^2*b^3*x^3 + 855*a^3*b^2*x^2 + 522*a^4*b*x + 147*a^5)/(a^6*b^6*x^6 + 6*a^7*b^5*x^5 + 15*a^8*b^4*x^4 + 20*a^9*b^3*x^3 + 15*a^10*b^2*x^2 + 6*a^11*b*x + a^12) - log(b*x + a)/a^7 + log(x)/a^7","A",0
219,1,157,0,1.589617," ","integrate(1/x^2/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{420 \, b^{6} x^{6} + 2310 \, a b^{5} x^{5} + 5180 \, a^{2} b^{4} x^{4} + 5985 \, a^{3} b^{3} x^{3} + 3654 \, a^{4} b^{2} x^{2} + 1029 \, a^{5} b x + 60 \, a^{6}}{60 \, {\left(a^{7} b^{6} x^{7} + 6 \, a^{8} b^{5} x^{6} + 15 \, a^{9} b^{4} x^{5} + 20 \, a^{10} b^{3} x^{4} + 15 \, a^{11} b^{2} x^{3} + 6 \, a^{12} b x^{2} + a^{13} x\right)}} + \frac{7 \, b \log\left(b x + a\right)}{a^{8}} - \frac{7 \, b \log\left(x\right)}{a^{8}}"," ",0,"-1/60*(420*b^6*x^6 + 2310*a*b^5*x^5 + 5180*a^2*b^4*x^4 + 5985*a^3*b^3*x^3 + 3654*a^4*b^2*x^2 + 1029*a^5*b*x + 60*a^6)/(a^7*b^6*x^7 + 6*a^8*b^5*x^6 + 15*a^9*b^4*x^5 + 20*a^10*b^3*x^4 + 15*a^11*b^2*x^3 + 6*a^12*b*x^2 + a^13*x) + 7*b*log(b*x + a)/a^8 - 7*b*log(x)/a^8","A",0
220,1,174,0,1.548402," ","integrate(1/x^3/(b*x+a)^7,x, algorithm=""maxima"")","\frac{840 \, b^{7} x^{7} + 4620 \, a b^{6} x^{6} + 10360 \, a^{2} b^{5} x^{5} + 11970 \, a^{3} b^{4} x^{4} + 7308 \, a^{4} b^{3} x^{3} + 2058 \, a^{5} b^{2} x^{2} + 120 \, a^{6} b x - 15 \, a^{7}}{30 \, {\left(a^{8} b^{6} x^{8} + 6 \, a^{9} b^{5} x^{7} + 15 \, a^{10} b^{4} x^{6} + 20 \, a^{11} b^{3} x^{5} + 15 \, a^{12} b^{2} x^{4} + 6 \, a^{13} b x^{3} + a^{14} x^{2}\right)}} - \frac{28 \, b^{2} \log\left(b x + a\right)}{a^{9}} + \frac{28 \, b^{2} \log\left(x\right)}{a^{9}}"," ",0,"1/30*(840*b^7*x^7 + 4620*a*b^6*x^6 + 10360*a^2*b^5*x^5 + 11970*a^3*b^4*x^4 + 7308*a^4*b^3*x^3 + 2058*a^5*b^2*x^2 + 120*a^6*b*x - 15*a^7)/(a^8*b^6*x^8 + 6*a^9*b^5*x^7 + 15*a^10*b^4*x^6 + 20*a^11*b^3*x^5 + 15*a^12*b^2*x^4 + 6*a^13*b*x^3 + a^14*x^2) - 28*b^2*log(b*x + a)/a^9 + 28*b^2*log(x)/a^9","A",0
221,1,185,0,1.592468," ","integrate(1/x^4/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{2520 \, b^{8} x^{8} + 13860 \, a b^{7} x^{7} + 31080 \, a^{2} b^{6} x^{6} + 35910 \, a^{3} b^{5} x^{5} + 21924 \, a^{4} b^{4} x^{4} + 6174 \, a^{5} b^{3} x^{3} + 360 \, a^{6} b^{2} x^{2} - 45 \, a^{7} b x + 10 \, a^{8}}{30 \, {\left(a^{9} b^{6} x^{9} + 6 \, a^{10} b^{5} x^{8} + 15 \, a^{11} b^{4} x^{7} + 20 \, a^{12} b^{3} x^{6} + 15 \, a^{13} b^{2} x^{5} + 6 \, a^{14} b x^{4} + a^{15} x^{3}\right)}} + \frac{84 \, b^{3} \log\left(b x + a\right)}{a^{10}} - \frac{84 \, b^{3} \log\left(x\right)}{a^{10}}"," ",0,"-1/30*(2520*b^8*x^8 + 13860*a*b^7*x^7 + 31080*a^2*b^6*x^6 + 35910*a^3*b^5*x^5 + 21924*a^4*b^4*x^4 + 6174*a^5*b^3*x^3 + 360*a^6*b^2*x^2 - 45*a^7*b*x + 10*a^8)/(a^9*b^6*x^9 + 6*a^10*b^5*x^8 + 15*a^11*b^4*x^7 + 20*a^12*b^3*x^6 + 15*a^13*b^2*x^5 + 6*a^14*b*x^4 + a^15*x^3) + 84*b^3*log(b*x + a)/a^10 - 84*b^3*log(x)/a^10","A",0
222,1,234,0,1.729875," ","integrate(x^12/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{62370 \, a^{4} b^{8} x^{8} + 449064 \, a^{5} b^{7} x^{7} + 1435896 \, a^{6} b^{6} x^{6} + 2652804 \, a^{7} b^{5} x^{5} + 3089394 \, a^{8} b^{4} x^{4} + 2318316 \, a^{9} b^{3} x^{3} + 1093356 \, a^{10} b^{2} x^{2} + 296019 \, a^{11} b x + 35201 \, a^{12}}{126 \, {\left(b^{22} x^{9} + 9 \, a b^{21} x^{8} + 36 \, a^{2} b^{20} x^{7} + 84 \, a^{3} b^{19} x^{6} + 126 \, a^{4} b^{18} x^{5} + 126 \, a^{5} b^{17} x^{4} + 84 \, a^{6} b^{16} x^{3} + 36 \, a^{7} b^{15} x^{2} + 9 \, a^{8} b^{14} x + a^{9} b^{13}\right)}} - \frac{220 \, a^{3} \log\left(b x + a\right)}{b^{13}} + \frac{b^{2} x^{3} - 15 \, a b x^{2} + 165 \, a^{2} x}{3 \, b^{12}}"," ",0,"-1/126*(62370*a^4*b^8*x^8 + 449064*a^5*b^7*x^7 + 1435896*a^6*b^6*x^6 + 2652804*a^7*b^5*x^5 + 3089394*a^8*b^4*x^4 + 2318316*a^9*b^3*x^3 + 1093356*a^10*b^2*x^2 + 296019*a^11*b*x + 35201*a^12)/(b^22*x^9 + 9*a*b^21*x^8 + 36*a^2*b^20*x^7 + 84*a^3*b^19*x^6 + 126*a^4*b^18*x^5 + 126*a^5*b^17*x^4 + 84*a^6*b^16*x^3 + 36*a^7*b^15*x^2 + 9*a^8*b^14*x + a^9*b^13) - 220*a^3*log(b*x + a)/b^13 + 1/3*(b^2*x^3 - 15*a*b*x^2 + 165*a^2*x)/b^12","A",0
223,1,223,0,1.650514," ","integrate(x^11/(b*x+a)^10,x, algorithm=""maxima"")","\frac{83160 \, a^{3} b^{8} x^{8} + 582120 \, a^{4} b^{7} x^{7} + 1823976 \, a^{5} b^{6} x^{6} + 3318084 \, a^{6} b^{5} x^{5} + 3817044 \, a^{7} b^{4} x^{4} + 2835756 \, a^{8} b^{3} x^{3} + 1326204 \, a^{9} b^{2} x^{2} + 356499 \, a^{10} b x + 42131 \, a^{11}}{504 \, {\left(b^{21} x^{9} + 9 \, a b^{20} x^{8} + 36 \, a^{2} b^{19} x^{7} + 84 \, a^{3} b^{18} x^{6} + 126 \, a^{4} b^{17} x^{5} + 126 \, a^{5} b^{16} x^{4} + 84 \, a^{6} b^{15} x^{3} + 36 \, a^{7} b^{14} x^{2} + 9 \, a^{8} b^{13} x + a^{9} b^{12}\right)}} + \frac{55 \, a^{2} \log\left(b x + a\right)}{b^{12}} + \frac{b x^{2} - 20 \, a x}{2 \, b^{11}}"," ",0,"1/504*(83160*a^3*b^8*x^8 + 582120*a^4*b^7*x^7 + 1823976*a^5*b^6*x^6 + 3318084*a^6*b^5*x^5 + 3817044*a^7*b^4*x^4 + 2835756*a^8*b^3*x^3 + 1326204*a^9*b^2*x^2 + 356499*a^10*b*x + 42131*a^11)/(b^21*x^9 + 9*a*b^20*x^8 + 36*a^2*b^19*x^7 + 84*a^3*b^18*x^6 + 126*a^4*b^17*x^5 + 126*a^5*b^16*x^4 + 84*a^6*b^15*x^3 + 36*a^7*b^14*x^2 + 9*a^8*b^13*x + a^9*b^12) + 55*a^2*log(b*x + a)/b^12 + 1/2*(b*x^2 - 20*a*x)/b^11","A",0
224,1,211,0,1.660110," ","integrate(x^10/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{11340 \, a^{2} b^{8} x^{8} + 75600 \, a^{3} b^{7} x^{7} + 229320 \, a^{4} b^{6} x^{6} + 407484 \, a^{5} b^{5} x^{5} + 460404 \, a^{6} b^{4} x^{4} + 337176 \, a^{7} b^{3} x^{3} + 155844 \, a^{8} b^{2} x^{2} + 41481 \, a^{9} b x + 4861 \, a^{10}}{252 \, {\left(b^{20} x^{9} + 9 \, a b^{19} x^{8} + 36 \, a^{2} b^{18} x^{7} + 84 \, a^{3} b^{17} x^{6} + 126 \, a^{4} b^{16} x^{5} + 126 \, a^{5} b^{15} x^{4} + 84 \, a^{6} b^{14} x^{3} + 36 \, a^{7} b^{13} x^{2} + 9 \, a^{8} b^{12} x + a^{9} b^{11}\right)}} + \frac{x}{b^{10}} - \frac{10 \, a \log\left(b x + a\right)}{b^{11}}"," ",0,"-1/252*(11340*a^2*b^8*x^8 + 75600*a^3*b^7*x^7 + 229320*a^4*b^6*x^6 + 407484*a^5*b^5*x^5 + 460404*a^6*b^4*x^4 + 337176*a^7*b^3*x^3 + 155844*a^8*b^2*x^2 + 41481*a^9*b*x + 4861*a^10)/(b^20*x^9 + 9*a*b^19*x^8 + 36*a^2*b^18*x^7 + 84*a^3*b^17*x^6 + 126*a^4*b^16*x^5 + 126*a^5*b^15*x^4 + 84*a^6*b^14*x^3 + 36*a^7*b^13*x^2 + 9*a^8*b^12*x + a^9*b^11) + x/b^10 - 10*a*log(b*x + a)/b^11","A",0
225,1,202,0,1.601399," ","integrate(x^9/(b*x+a)^10,x, algorithm=""maxima"")","\frac{22680 \, a b^{8} x^{8} + 136080 \, a^{2} b^{7} x^{7} + 388080 \, a^{3} b^{6} x^{6} + 661500 \, a^{4} b^{5} x^{5} + 725004 \, a^{5} b^{4} x^{4} + 518616 \, a^{6} b^{3} x^{3} + 235224 \, a^{7} b^{2} x^{2} + 61641 \, a^{8} b x + 7129 \, a^{9}}{2520 \, {\left(b^{19} x^{9} + 9 \, a b^{18} x^{8} + 36 \, a^{2} b^{17} x^{7} + 84 \, a^{3} b^{16} x^{6} + 126 \, a^{4} b^{15} x^{5} + 126 \, a^{5} b^{14} x^{4} + 84 \, a^{6} b^{13} x^{3} + 36 \, a^{7} b^{12} x^{2} + 9 \, a^{8} b^{11} x + a^{9} b^{10}\right)}} + \frac{\log\left(b x + a\right)}{b^{10}}"," ",0,"1/2520*(22680*a*b^8*x^8 + 136080*a^2*b^7*x^7 + 388080*a^3*b^6*x^6 + 661500*a^4*b^5*x^5 + 725004*a^5*b^4*x^4 + 518616*a^6*b^3*x^3 + 235224*a^7*b^2*x^2 + 61641*a^8*b*x + 7129*a^9)/(b^19*x^9 + 9*a*b^18*x^8 + 36*a^2*b^17*x^7 + 84*a^3*b^16*x^6 + 126*a^4*b^15*x^5 + 126*a^5*b^14*x^4 + 84*a^6*b^13*x^3 + 36*a^7*b^12*x^2 + 9*a^8*b^11*x + a^9*b^10) + log(b*x + a)/b^10","A",0
226,1,186,0,1.509452," ","integrate(x^8/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{9 \, b^{8} x^{8} + 36 \, a b^{7} x^{7} + 84 \, a^{2} b^{6} x^{6} + 126 \, a^{3} b^{5} x^{5} + 126 \, a^{4} b^{4} x^{4} + 84 \, a^{5} b^{3} x^{3} + 36 \, a^{6} b^{2} x^{2} + 9 \, a^{7} b x + a^{8}}{9 \, {\left(b^{18} x^{9} + 9 \, a b^{17} x^{8} + 36 \, a^{2} b^{16} x^{7} + 84 \, a^{3} b^{15} x^{6} + 126 \, a^{4} b^{14} x^{5} + 126 \, a^{5} b^{13} x^{4} + 84 \, a^{6} b^{12} x^{3} + 36 \, a^{7} b^{11} x^{2} + 9 \, a^{8} b^{10} x + a^{9} b^{9}\right)}}"," ",0,"-1/9*(9*b^8*x^8 + 36*a*b^7*x^7 + 84*a^2*b^6*x^6 + 126*a^3*b^5*x^5 + 126*a^4*b^4*x^4 + 84*a^5*b^3*x^3 + 36*a^6*b^2*x^2 + 9*a^7*b*x + a^8)/(b^18*x^9 + 9*a*b^17*x^8 + 36*a^2*b^16*x^7 + 84*a^3*b^15*x^6 + 126*a^4*b^14*x^5 + 126*a^5*b^13*x^4 + 84*a^6*b^12*x^3 + 36*a^7*b^11*x^2 + 9*a^8*b^10*x + a^9*b^9)","B",0
227,1,175,0,1.592029," ","integrate(x^7/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{36 \, b^{7} x^{7} + 84 \, a b^{6} x^{6} + 126 \, a^{2} b^{5} x^{5} + 126 \, a^{3} b^{4} x^{4} + 84 \, a^{4} b^{3} x^{3} + 36 \, a^{5} b^{2} x^{2} + 9 \, a^{6} b x + a^{7}}{72 \, {\left(b^{17} x^{9} + 9 \, a b^{16} x^{8} + 36 \, a^{2} b^{15} x^{7} + 84 \, a^{3} b^{14} x^{6} + 126 \, a^{4} b^{13} x^{5} + 126 \, a^{5} b^{12} x^{4} + 84 \, a^{6} b^{11} x^{3} + 36 \, a^{7} b^{10} x^{2} + 9 \, a^{8} b^{9} x + a^{9} b^{8}\right)}}"," ",0,"-1/72*(36*b^7*x^7 + 84*a*b^6*x^6 + 126*a^2*b^5*x^5 + 126*a^3*b^4*x^4 + 84*a^4*b^3*x^3 + 36*a^5*b^2*x^2 + 9*a^6*b*x + a^7)/(b^17*x^9 + 9*a*b^16*x^8 + 36*a^2*b^15*x^7 + 84*a^3*b^14*x^6 + 126*a^4*b^13*x^5 + 126*a^5*b^12*x^4 + 84*a^6*b^11*x^3 + 36*a^7*b^10*x^2 + 9*a^8*b^9*x + a^9*b^8)","B",0
228,1,164,0,1.492813," ","integrate(x^6/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{84 \, b^{6} x^{6} + 126 \, a b^{5} x^{5} + 126 \, a^{2} b^{4} x^{4} + 84 \, a^{3} b^{3} x^{3} + 36 \, a^{4} b^{2} x^{2} + 9 \, a^{5} b x + a^{6}}{252 \, {\left(b^{16} x^{9} + 9 \, a b^{15} x^{8} + 36 \, a^{2} b^{14} x^{7} + 84 \, a^{3} b^{13} x^{6} + 126 \, a^{4} b^{12} x^{5} + 126 \, a^{5} b^{11} x^{4} + 84 \, a^{6} b^{10} x^{3} + 36 \, a^{7} b^{9} x^{2} + 9 \, a^{8} b^{8} x + a^{9} b^{7}\right)}}"," ",0,"-1/252*(84*b^6*x^6 + 126*a*b^5*x^5 + 126*a^2*b^4*x^4 + 84*a^3*b^3*x^3 + 36*a^4*b^2*x^2 + 9*a^5*b*x + a^6)/(b^16*x^9 + 9*a*b^15*x^8 + 36*a^2*b^14*x^7 + 84*a^3*b^13*x^6 + 126*a^4*b^12*x^5 + 126*a^5*b^11*x^4 + 84*a^6*b^10*x^3 + 36*a^7*b^9*x^2 + 9*a^8*b^8*x + a^9*b^7)","B",0
229,1,153,0,1.538470," ","integrate(x^5/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{126 \, b^{5} x^{5} + 126 \, a b^{4} x^{4} + 84 \, a^{2} b^{3} x^{3} + 36 \, a^{3} b^{2} x^{2} + 9 \, a^{4} b x + a^{5}}{504 \, {\left(b^{15} x^{9} + 9 \, a b^{14} x^{8} + 36 \, a^{2} b^{13} x^{7} + 84 \, a^{3} b^{12} x^{6} + 126 \, a^{4} b^{11} x^{5} + 126 \, a^{5} b^{10} x^{4} + 84 \, a^{6} b^{9} x^{3} + 36 \, a^{7} b^{8} x^{2} + 9 \, a^{8} b^{7} x + a^{9} b^{6}\right)}}"," ",0,"-1/504*(126*b^5*x^5 + 126*a*b^4*x^4 + 84*a^2*b^3*x^3 + 36*a^3*b^2*x^2 + 9*a^4*b*x + a^5)/(b^15*x^9 + 9*a*b^14*x^8 + 36*a^2*b^13*x^7 + 84*a^3*b^12*x^6 + 126*a^4*b^11*x^5 + 126*a^5*b^10*x^4 + 84*a^6*b^9*x^3 + 36*a^7*b^8*x^2 + 9*a^8*b^7*x + a^9*b^6)","B",0
230,1,142,0,1.455063," ","integrate(x^4/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{126 \, b^{4} x^{4} + 84 \, a b^{3} x^{3} + 36 \, a^{2} b^{2} x^{2} + 9 \, a^{3} b x + a^{4}}{630 \, {\left(b^{14} x^{9} + 9 \, a b^{13} x^{8} + 36 \, a^{2} b^{12} x^{7} + 84 \, a^{3} b^{11} x^{6} + 126 \, a^{4} b^{10} x^{5} + 126 \, a^{5} b^{9} x^{4} + 84 \, a^{6} b^{8} x^{3} + 36 \, a^{7} b^{7} x^{2} + 9 \, a^{8} b^{6} x + a^{9} b^{5}\right)}}"," ",0,"-1/630*(126*b^4*x^4 + 84*a*b^3*x^3 + 36*a^2*b^2*x^2 + 9*a^3*b*x + a^4)/(b^14*x^9 + 9*a*b^13*x^8 + 36*a^2*b^12*x^7 + 84*a^3*b^11*x^6 + 126*a^4*b^10*x^5 + 126*a^5*b^9*x^4 + 84*a^6*b^8*x^3 + 36*a^7*b^7*x^2 + 9*a^8*b^6*x + a^9*b^5)","A",0
231,1,131,0,1.475067," ","integrate(x^3/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{84 \, b^{3} x^{3} + 36 \, a b^{2} x^{2} + 9 \, a^{2} b x + a^{3}}{504 \, {\left(b^{13} x^{9} + 9 \, a b^{12} x^{8} + 36 \, a^{2} b^{11} x^{7} + 84 \, a^{3} b^{10} x^{6} + 126 \, a^{4} b^{9} x^{5} + 126 \, a^{5} b^{8} x^{4} + 84 \, a^{6} b^{7} x^{3} + 36 \, a^{7} b^{6} x^{2} + 9 \, a^{8} b^{5} x + a^{9} b^{4}\right)}}"," ",0,"-1/504*(84*b^3*x^3 + 36*a*b^2*x^2 + 9*a^2*b*x + a^3)/(b^13*x^9 + 9*a*b^12*x^8 + 36*a^2*b^11*x^7 + 84*a^3*b^10*x^6 + 126*a^4*b^9*x^5 + 126*a^5*b^8*x^4 + 84*a^6*b^7*x^3 + 36*a^7*b^6*x^2 + 9*a^8*b^5*x + a^9*b^4)","B",0
232,1,120,0,1.415942," ","integrate(x^2/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{36 \, b^{2} x^{2} + 9 \, a b x + a^{2}}{252 \, {\left(b^{12} x^{9} + 9 \, a b^{11} x^{8} + 36 \, a^{2} b^{10} x^{7} + 84 \, a^{3} b^{9} x^{6} + 126 \, a^{4} b^{8} x^{5} + 126 \, a^{5} b^{7} x^{4} + 84 \, a^{6} b^{6} x^{3} + 36 \, a^{7} b^{5} x^{2} + 9 \, a^{8} b^{4} x + a^{9} b^{3}\right)}}"," ",0,"-1/252*(36*b^2*x^2 + 9*a*b*x + a^2)/(b^12*x^9 + 9*a*b^11*x^8 + 36*a^2*b^10*x^7 + 84*a^3*b^9*x^6 + 126*a^4*b^8*x^5 + 126*a^5*b^7*x^4 + 84*a^6*b^6*x^3 + 36*a^7*b^5*x^2 + 9*a^8*b^4*x + a^9*b^3)","B",0
233,1,109,0,1.420598," ","integrate(x/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{9 \, b x + a}{72 \, {\left(b^{11} x^{9} + 9 \, a b^{10} x^{8} + 36 \, a^{2} b^{9} x^{7} + 84 \, a^{3} b^{8} x^{6} + 126 \, a^{4} b^{7} x^{5} + 126 \, a^{5} b^{6} x^{4} + 84 \, a^{6} b^{5} x^{3} + 36 \, a^{7} b^{4} x^{2} + 9 \, a^{8} b^{3} x + a^{9} b^{2}\right)}}"," ",0,"-1/72*(9*b*x + a)/(b^11*x^9 + 9*a*b^10*x^8 + 36*a^2*b^9*x^7 + 84*a^3*b^8*x^6 + 126*a^4*b^7*x^5 + 126*a^5*b^6*x^4 + 84*a^6*b^5*x^3 + 36*a^7*b^4*x^2 + 9*a^8*b^3*x + a^9*b^2)","B",0
234,1,12,0,1.335961," ","integrate(1/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{1}{9 \, {\left(b x + a\right)}^{9} b}"," ",0,"-1/9/((b*x + a)^9*b)","A",0
235,1,205,0,1.754594," ","integrate(1/x/(b*x+a)^10,x, algorithm=""maxima"")","\frac{2520 \, b^{8} x^{8} + 21420 \, a b^{7} x^{7} + 80220 \, a^{2} b^{6} x^{6} + 173250 \, a^{3} b^{5} x^{5} + 236754 \, a^{4} b^{4} x^{4} + 210756 \, a^{5} b^{3} x^{3} + 120564 \, a^{6} b^{2} x^{2} + 41481 \, a^{7} b x + 7129 \, a^{8}}{2520 \, {\left(a^{9} b^{9} x^{9} + 9 \, a^{10} b^{8} x^{8} + 36 \, a^{11} b^{7} x^{7} + 84 \, a^{12} b^{6} x^{6} + 126 \, a^{13} b^{5} x^{5} + 126 \, a^{14} b^{4} x^{4} + 84 \, a^{15} b^{3} x^{3} + 36 \, a^{16} b^{2} x^{2} + 9 \, a^{17} b x + a^{18}\right)}} - \frac{\log\left(b x + a\right)}{a^{10}} + \frac{\log\left(x\right)}{a^{10}}"," ",0,"1/2520*(2520*b^8*x^8 + 21420*a*b^7*x^7 + 80220*a^2*b^6*x^6 + 173250*a^3*b^5*x^5 + 236754*a^4*b^4*x^4 + 210756*a^5*b^3*x^3 + 120564*a^6*b^2*x^2 + 41481*a^7*b*x + 7129*a^8)/(a^9*b^9*x^9 + 9*a^10*b^8*x^8 + 36*a^11*b^7*x^7 + 84*a^12*b^6*x^6 + 126*a^13*b^5*x^5 + 126*a^14*b^4*x^4 + 84*a^15*b^3*x^3 + 36*a^16*b^2*x^2 + 9*a^17*b*x + a^18) - log(b*x + a)/a^10 + log(x)/a^10","A",0
236,1,223,0,1.705412," ","integrate(1/x^2/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{2520 \, b^{9} x^{9} + 21420 \, a b^{8} x^{8} + 80220 \, a^{2} b^{7} x^{7} + 173250 \, a^{3} b^{6} x^{6} + 236754 \, a^{4} b^{5} x^{5} + 210756 \, a^{5} b^{4} x^{4} + 120564 \, a^{6} b^{3} x^{3} + 41481 \, a^{7} b^{2} x^{2} + 7129 \, a^{8} b x + 252 \, a^{9}}{252 \, {\left(a^{10} b^{9} x^{10} + 9 \, a^{11} b^{8} x^{9} + 36 \, a^{12} b^{7} x^{8} + 84 \, a^{13} b^{6} x^{7} + 126 \, a^{14} b^{5} x^{6} + 126 \, a^{15} b^{4} x^{5} + 84 \, a^{16} b^{3} x^{4} + 36 \, a^{17} b^{2} x^{3} + 9 \, a^{18} b x^{2} + a^{19} x\right)}} + \frac{10 \, b \log\left(b x + a\right)}{a^{11}} - \frac{10 \, b \log\left(x\right)}{a^{11}}"," ",0,"-1/252*(2520*b^9*x^9 + 21420*a*b^8*x^8 + 80220*a^2*b^7*x^7 + 173250*a^3*b^6*x^6 + 236754*a^4*b^5*x^5 + 210756*a^5*b^4*x^4 + 120564*a^6*b^3*x^3 + 41481*a^7*b^2*x^2 + 7129*a^8*b*x + 252*a^9)/(a^10*b^9*x^10 + 9*a^11*b^8*x^9 + 36*a^12*b^7*x^8 + 84*a^13*b^6*x^7 + 126*a^14*b^5*x^6 + 126*a^15*b^4*x^5 + 84*a^16*b^3*x^4 + 36*a^17*b^2*x^3 + 9*a^18*b*x^2 + a^19*x) + 10*b*log(b*x + a)/a^11 - 10*b*log(x)/a^11","A",0
237,1,240,0,1.711877," ","integrate(1/x^3/(b*x+a)^10,x, algorithm=""maxima"")","\frac{27720 \, b^{10} x^{10} + 235620 \, a b^{9} x^{9} + 882420 \, a^{2} b^{8} x^{8} + 1905750 \, a^{3} b^{7} x^{7} + 2604294 \, a^{4} b^{6} x^{6} + 2318316 \, a^{5} b^{5} x^{5} + 1326204 \, a^{6} b^{4} x^{4} + 456291 \, a^{7} b^{3} x^{3} + 78419 \, a^{8} b^{2} x^{2} + 2772 \, a^{9} b x - 252 \, a^{10}}{504 \, {\left(a^{11} b^{9} x^{11} + 9 \, a^{12} b^{8} x^{10} + 36 \, a^{13} b^{7} x^{9} + 84 \, a^{14} b^{6} x^{8} + 126 \, a^{15} b^{5} x^{7} + 126 \, a^{16} b^{4} x^{6} + 84 \, a^{17} b^{3} x^{5} + 36 \, a^{18} b^{2} x^{4} + 9 \, a^{19} b x^{3} + a^{20} x^{2}\right)}} - \frac{55 \, b^{2} \log\left(b x + a\right)}{a^{12}} + \frac{55 \, b^{2} \log\left(x\right)}{a^{12}}"," ",0,"1/504*(27720*b^10*x^10 + 235620*a*b^9*x^9 + 882420*a^2*b^8*x^8 + 1905750*a^3*b^7*x^7 + 2604294*a^4*b^6*x^6 + 2318316*a^5*b^5*x^5 + 1326204*a^6*b^4*x^4 + 456291*a^7*b^3*x^3 + 78419*a^8*b^2*x^2 + 2772*a^9*b*x - 252*a^10)/(a^11*b^9*x^11 + 9*a^12*b^8*x^10 + 36*a^13*b^7*x^9 + 84*a^14*b^6*x^8 + 126*a^15*b^5*x^7 + 126*a^16*b^4*x^6 + 84*a^17*b^3*x^5 + 36*a^18*b^2*x^4 + 9*a^19*b*x^3 + a^20*x^2) - 55*b^2*log(b*x + a)/a^12 + 55*b^2*log(x)/a^12","A",0
238,1,251,0,1.720012," ","integrate(1/x^4/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{27720 \, b^{11} x^{11} + 235620 \, a b^{10} x^{10} + 882420 \, a^{2} b^{9} x^{9} + 1905750 \, a^{3} b^{8} x^{8} + 2604294 \, a^{4} b^{7} x^{7} + 2318316 \, a^{5} b^{6} x^{6} + 1326204 \, a^{6} b^{5} x^{5} + 456291 \, a^{7} b^{4} x^{4} + 78419 \, a^{8} b^{3} x^{3} + 2772 \, a^{9} b^{2} x^{2} - 252 \, a^{10} b x + 42 \, a^{11}}{126 \, {\left(a^{12} b^{9} x^{12} + 9 \, a^{13} b^{8} x^{11} + 36 \, a^{14} b^{7} x^{10} + 84 \, a^{15} b^{6} x^{9} + 126 \, a^{16} b^{5} x^{8} + 126 \, a^{17} b^{4} x^{7} + 84 \, a^{18} b^{3} x^{6} + 36 \, a^{19} b^{2} x^{5} + 9 \, a^{20} b x^{4} + a^{21} x^{3}\right)}} + \frac{220 \, b^{3} \log\left(b x + a\right)}{a^{13}} - \frac{220 \, b^{3} \log\left(x\right)}{a^{13}}"," ",0,"-1/126*(27720*b^11*x^11 + 235620*a*b^10*x^10 + 882420*a^2*b^9*x^9 + 1905750*a^3*b^8*x^8 + 2604294*a^4*b^7*x^7 + 2318316*a^5*b^6*x^6 + 1326204*a^6*b^5*x^5 + 456291*a^7*b^4*x^4 + 78419*a^8*b^3*x^3 + 2772*a^9*b^2*x^2 - 252*a^10*b*x + 42*a^11)/(a^12*b^9*x^12 + 9*a^13*b^8*x^11 + 36*a^14*b^7*x^10 + 84*a^15*b^6*x^9 + 126*a^16*b^5*x^8 + 126*a^17*b^4*x^7 + 84*a^18*b^3*x^6 + 36*a^19*b^2*x^5 + 9*a^20*b*x^4 + a^21*x^3) + 220*b^3*log(b*x + a)/a^13 - 220*b^3*log(x)/a^13","A",0
239,1,132,0,1.372160," ","integrate((b*x+a)^12/x^10,x, algorithm=""maxima"")","\frac{1}{3} \, b^{12} x^{3} + 6 \, a b^{11} x^{2} + 66 \, a^{2} b^{10} x + 220 \, a^{3} b^{9} \log\left(x\right) - \frac{62370 \, a^{4} b^{8} x^{8} + 49896 \, a^{5} b^{7} x^{7} + 38808 \, a^{6} b^{6} x^{6} + 24948 \, a^{7} b^{5} x^{5} + 12474 \, a^{8} b^{4} x^{4} + 4620 \, a^{9} b^{3} x^{3} + 1188 \, a^{10} b^{2} x^{2} + 189 \, a^{11} b x + 14 \, a^{12}}{126 \, x^{9}}"," ",0,"1/3*b^12*x^3 + 6*a*b^11*x^2 + 66*a^2*b^10*x + 220*a^3*b^9*log(x) - 1/126*(62370*a^4*b^8*x^8 + 49896*a^5*b^7*x^7 + 38808*a^6*b^6*x^6 + 24948*a^7*b^5*x^5 + 12474*a^8*b^4*x^4 + 4620*a^9*b^3*x^3 + 1188*a^10*b^2*x^2 + 189*a^11*b*x + 14*a^12)/x^9","A",0
240,1,121,0,1.372572," ","integrate((b*x+a)^11/x^10,x, algorithm=""maxima"")","\frac{1}{2} \, b^{11} x^{2} + 11 \, a b^{10} x + 55 \, a^{2} b^{9} \log\left(x\right) - \frac{83160 \, a^{3} b^{8} x^{8} + 83160 \, a^{4} b^{7} x^{7} + 77616 \, a^{5} b^{6} x^{6} + 58212 \, a^{6} b^{5} x^{5} + 33264 \, a^{7} b^{4} x^{4} + 13860 \, a^{8} b^{3} x^{3} + 3960 \, a^{9} b^{2} x^{2} + 693 \, a^{10} b x + 56 \, a^{11}}{504 \, x^{9}}"," ",0,"1/2*b^11*x^2 + 11*a*b^10*x + 55*a^2*b^9*log(x) - 1/504*(83160*a^3*b^8*x^8 + 83160*a^4*b^7*x^7 + 77616*a^5*b^6*x^6 + 58212*a^6*b^5*x^5 + 33264*a^7*b^4*x^4 + 13860*a^8*b^3*x^3 + 3960*a^9*b^2*x^2 + 693*a^10*b*x + 56*a^11)/x^9","A",0
241,1,109,0,1.432178," ","integrate((b*x+a)^10/x^10,x, algorithm=""maxima"")","b^{10} x + 10 \, a b^{9} \log\left(x\right) - \frac{11340 \, a^{2} b^{8} x^{8} + 15120 \, a^{3} b^{7} x^{7} + 17640 \, a^{4} b^{6} x^{6} + 15876 \, a^{5} b^{5} x^{5} + 10584 \, a^{6} b^{4} x^{4} + 5040 \, a^{7} b^{3} x^{3} + 1620 \, a^{8} b^{2} x^{2} + 315 \, a^{9} b x + 28 \, a^{10}}{252 \, x^{9}}"," ",0,"b^10*x + 10*a*b^9*log(x) - 1/252*(11340*a^2*b^8*x^8 + 15120*a^3*b^7*x^7 + 17640*a^4*b^6*x^6 + 15876*a^5*b^5*x^5 + 10584*a^6*b^4*x^4 + 5040*a^7*b^3*x^3 + 1620*a^8*b^2*x^2 + 315*a^9*b*x + 28*a^10)/x^9","A",0
242,1,100,0,1.335218," ","integrate((b*x+a)^9/x^10,x, algorithm=""maxima"")","b^{9} \log\left(x\right) - \frac{22680 \, a b^{8} x^{8} + 45360 \, a^{2} b^{7} x^{7} + 70560 \, a^{3} b^{6} x^{6} + 79380 \, a^{4} b^{5} x^{5} + 63504 \, a^{5} b^{4} x^{4} + 35280 \, a^{6} b^{3} x^{3} + 12960 \, a^{7} b^{2} x^{2} + 2835 \, a^{8} b x + 280 \, a^{9}}{2520 \, x^{9}}"," ",0,"b^9*log(x) - 1/2520*(22680*a*b^8*x^8 + 45360*a^2*b^7*x^7 + 70560*a^3*b^6*x^6 + 79380*a^4*b^5*x^5 + 63504*a^5*b^4*x^4 + 35280*a^6*b^3*x^3 + 12960*a^7*b^2*x^2 + 2835*a^8*b*x + 280*a^9)/x^9","A",0
243,1,88,0,1.337420," ","integrate((b*x+a)^8/x^10,x, algorithm=""maxima"")","-\frac{9 \, b^{8} x^{8} + 36 \, a b^{7} x^{7} + 84 \, a^{2} b^{6} x^{6} + 126 \, a^{3} b^{5} x^{5} + 126 \, a^{4} b^{4} x^{4} + 84 \, a^{5} b^{3} x^{3} + 36 \, a^{6} b^{2} x^{2} + 9 \, a^{7} b x + a^{8}}{9 \, x^{9}}"," ",0,"-1/9*(9*b^8*x^8 + 36*a*b^7*x^7 + 84*a^2*b^6*x^6 + 126*a^3*b^5*x^5 + 126*a^4*b^4*x^4 + 84*a^5*b^3*x^3 + 36*a^6*b^2*x^2 + 9*a^7*b*x + a^8)/x^9","B",0
244,1,79,0,1.357308," ","integrate((b*x+a)^7/x^10,x, algorithm=""maxima"")","-\frac{36 \, b^{7} x^{7} + 168 \, a b^{6} x^{6} + 378 \, a^{2} b^{5} x^{5} + 504 \, a^{3} b^{4} x^{4} + 420 \, a^{4} b^{3} x^{3} + 216 \, a^{5} b^{2} x^{2} + 63 \, a^{6} b x + 8 \, a^{7}}{72 \, x^{9}}"," ",0,"-1/72*(36*b^7*x^7 + 168*a*b^6*x^6 + 378*a^2*b^5*x^5 + 504*a^3*b^4*x^4 + 420*a^4*b^3*x^3 + 216*a^5*b^2*x^2 + 63*a^6*b*x + 8*a^7)/x^9","B",0
245,1,68,0,1.368048," ","integrate((b*x+a)^6/x^10,x, algorithm=""maxima"")","-\frac{84 \, b^{6} x^{6} + 378 \, a b^{5} x^{5} + 756 \, a^{2} b^{4} x^{4} + 840 \, a^{3} b^{3} x^{3} + 540 \, a^{4} b^{2} x^{2} + 189 \, a^{5} b x + 28 \, a^{6}}{252 \, x^{9}}"," ",0,"-1/252*(84*b^6*x^6 + 378*a*b^5*x^5 + 756*a^2*b^4*x^4 + 840*a^3*b^3*x^3 + 540*a^4*b^2*x^2 + 189*a^5*b*x + 28*a^6)/x^9","A",0
246,1,57,0,1.362330," ","integrate((b*x+a)^5/x^10,x, algorithm=""maxima"")","-\frac{126 \, b^{5} x^{5} + 504 \, a b^{4} x^{4} + 840 \, a^{2} b^{3} x^{3} + 720 \, a^{3} b^{2} x^{2} + 315 \, a^{4} b x + 56 \, a^{5}}{504 \, x^{9}}"," ",0,"-1/504*(126*b^5*x^5 + 504*a*b^4*x^4 + 840*a^2*b^3*x^3 + 720*a^3*b^2*x^2 + 315*a^4*b*x + 56*a^5)/x^9","A",0
247,1,46,0,1.335474," ","integrate((b*x+a)^4/x^10,x, algorithm=""maxima"")","-\frac{126 \, b^{4} x^{4} + 420 \, a b^{3} x^{3} + 540 \, a^{2} b^{2} x^{2} + 315 \, a^{3} b x + 70 \, a^{4}}{630 \, x^{9}}"," ",0,"-1/630*(126*b^4*x^4 + 420*a*b^3*x^3 + 540*a^2*b^2*x^2 + 315*a^3*b*x + 70*a^4)/x^9","A",0
248,1,35,0,1.345517," ","integrate((b*x+a)^3/x^10,x, algorithm=""maxima"")","-\frac{84 \, b^{3} x^{3} + 216 \, a b^{2} x^{2} + 189 \, a^{2} b x + 56 \, a^{3}}{504 \, x^{9}}"," ",0,"-1/504*(84*b^3*x^3 + 216*a*b^2*x^2 + 189*a^2*b*x + 56*a^3)/x^9","A",0
249,1,24,0,1.341007," ","integrate((b*x+a)^2/x^10,x, algorithm=""maxima"")","-\frac{36 \, b^{2} x^{2} + 63 \, a b x + 28 \, a^{2}}{252 \, x^{9}}"," ",0,"-1/252*(36*b^2*x^2 + 63*a*b*x + 28*a^2)/x^9","A",0
250,1,13,0,1.303360," ","integrate((b*x+a)/x^10,x, algorithm=""maxima"")","-\frac{9 \, b x + 8 \, a}{72 \, x^{9}}"," ",0,"-1/72*(9*b*x + 8*a)/x^9","A",0
251,1,5,0,1.317837," ","integrate(1/x^10,x, algorithm=""maxima"")","-\frac{1}{9 \, x^{9}}"," ",0,"-1/9/x^9","A",0
252,1,117,0,1.348517," ","integrate(1/x^10/(b*x+a),x, algorithm=""maxima"")","\frac{b^{9} \log\left(b x + a\right)}{a^{10}} - \frac{b^{9} \log\left(x\right)}{a^{10}} - \frac{2520 \, b^{8} x^{8} - 1260 \, a b^{7} x^{7} + 840 \, a^{2} b^{6} x^{6} - 630 \, a^{3} b^{5} x^{5} + 504 \, a^{4} b^{4} x^{4} - 420 \, a^{5} b^{3} x^{3} + 360 \, a^{6} b^{2} x^{2} - 315 \, a^{7} b x + 280 \, a^{8}}{2520 \, a^{9} x^{9}}"," ",0,"b^9*log(b*x + a)/a^10 - b^9*log(x)/a^10 - 1/2520*(2520*b^8*x^8 - 1260*a*b^7*x^7 + 840*a^2*b^6*x^6 - 630*a^3*b^5*x^5 + 504*a^4*b^4*x^4 - 420*a^5*b^3*x^3 + 360*a^6*b^2*x^2 - 315*a^7*b*x + 280*a^8)/(a^9*x^9)","A",0
253,1,141,0,1.398020," ","integrate(1/x^10/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{2520 \, b^{9} x^{9} + 1260 \, a b^{8} x^{8} - 420 \, a^{2} b^{7} x^{7} + 210 \, a^{3} b^{6} x^{6} - 126 \, a^{4} b^{5} x^{5} + 84 \, a^{5} b^{4} x^{4} - 60 \, a^{6} b^{3} x^{3} + 45 \, a^{7} b^{2} x^{2} - 35 \, a^{8} b x + 28 \, a^{9}}{252 \, {\left(a^{10} b x^{10} + a^{11} x^{9}\right)}} + \frac{10 \, b^{9} \log\left(b x + a\right)}{a^{11}} - \frac{10 \, b^{9} \log\left(x\right)}{a^{11}}"," ",0,"-1/252*(2520*b^9*x^9 + 1260*a*b^8*x^8 - 420*a^2*b^7*x^7 + 210*a^3*b^6*x^6 - 126*a^4*b^5*x^5 + 84*a^5*b^4*x^4 - 60*a^6*b^3*x^3 + 45*a^7*b^2*x^2 - 35*a^8*b*x + 28*a^9)/(a^10*b*x^10 + a^11*x^9) + 10*b^9*log(b*x + a)/a^11 - 10*b^9*log(x)/a^11","A",0
254,1,163,0,1.431848," ","integrate(1/x^10/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{27720 \, b^{10} x^{10} + 41580 \, a b^{9} x^{9} + 9240 \, a^{2} b^{8} x^{8} - 2310 \, a^{3} b^{7} x^{7} + 924 \, a^{4} b^{6} x^{6} - 462 \, a^{5} b^{5} x^{5} + 264 \, a^{6} b^{4} x^{4} - 165 \, a^{7} b^{3} x^{3} + 110 \, a^{8} b^{2} x^{2} - 77 \, a^{9} b x + 56 \, a^{10}}{504 \, {\left(a^{11} b^{2} x^{11} + 2 \, a^{12} b x^{10} + a^{13} x^{9}\right)}} + \frac{55 \, b^{9} \log\left(b x + a\right)}{a^{12}} - \frac{55 \, b^{9} \log\left(x\right)}{a^{12}}"," ",0,"-1/504*(27720*b^10*x^10 + 41580*a*b^9*x^9 + 9240*a^2*b^8*x^8 - 2310*a^3*b^7*x^7 + 924*a^4*b^6*x^6 - 462*a^5*b^5*x^5 + 264*a^6*b^4*x^4 - 165*a^7*b^3*x^3 + 110*a^8*b^2*x^2 - 77*a^9*b*x + 56*a^10)/(a^11*b^2*x^11 + 2*a^12*b*x^10 + a^13*x^9) + 55*b^9*log(b*x + a)/a^12 - 55*b^9*log(x)/a^12","A",0
255,1,13,0,1.342334," ","integrate(1/x/(2+3*x),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(3 \, x + 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-1/2*log(3*x + 2) + 1/2*log(x)","A",0
256,1,13,0,1.294927," ","integrate(1/x/(4+6*x),x, algorithm=""maxima"")","-\frac{1}{4} \, \log\left(3 \, x + 2\right) + \frac{1}{4} \, \log\left(x\right)"," ",0,"-1/4*log(3*x + 2) + 1/4*log(x)","A",0
257,1,18,0,1.381350," ","integrate(1/x^2/(4+6*x),x, algorithm=""maxima"")","-\frac{1}{4 \, x} + \frac{3}{8} \, \log\left(3 \, x + 2\right) - \frac{3}{8} \, \log\left(x\right)"," ",0,"-1/4/x + 3/8*log(3*x + 2) - 3/8*log(x)","A",0
258,1,23,0,1.293647," ","integrate(1/x^3/(4+6*x),x, algorithm=""maxima"")","\frac{3 \, x - 1}{8 \, x^{2}} - \frac{9}{16} \, \log\left(3 \, x + 2\right) + \frac{9}{16} \, \log\left(x\right)"," ",0,"1/8*(3*x - 1)/x^2 - 9/16*log(3*x + 2) + 9/16*log(x)","A",0
259,1,28,0,1.353029," ","integrate(1/x^4/(4+6*x),x, algorithm=""maxima"")","-\frac{27 \, x^{2} - 9 \, x + 4}{48 \, x^{3}} + \frac{27}{32} \, \log\left(3 \, x + 2\right) - \frac{27}{32} \, \log\left(x\right)"," ",0,"-1/48*(27*x^2 - 9*x + 4)/x^3 + 27/32*log(3*x + 2) - 27/32*log(x)","A",0
260,1,33,0,1.324634," ","integrate(1/x^5/(4+6*x),x, algorithm=""maxima"")","\frac{27 \, x^{3} - 9 \, x^{2} + 4 \, x - 2}{32 \, x^{4}} - \frac{81}{64} \, \log\left(3 \, x + 2\right) + \frac{81}{64} \, \log\left(x\right)"," ",0,"1/32*(27*x^3 - 9*x^2 + 4*x - 2)/x^4 - 81/64*log(3*x + 2) + 81/64*log(x)","A",0
261,1,22,0,1.367175," ","integrate(1/x/(4+6*x)^2,x, algorithm=""maxima"")","\frac{1}{8 \, {\left(3 \, x + 2\right)}} - \frac{1}{16} \, \log\left(3 \, x + 2\right) + \frac{1}{16} \, \log\left(x\right)"," ",0,"1/8/(3*x + 2) - 1/16*log(3*x + 2) + 1/16*log(x)","A",0
262,1,31,0,1.386880," ","integrate(1/x^2/(4+6*x)^2,x, algorithm=""maxima"")","-\frac{3 \, x + 1}{8 \, {\left(3 \, x^{2} + 2 \, x\right)}} + \frac{3}{16} \, \log\left(3 \, x + 2\right) - \frac{3}{16} \, \log\left(x\right)"," ",0,"-1/8*(3*x + 1)/(3*x^2 + 2*x) + 3/16*log(3*x + 2) - 3/16*log(x)","A",0
263,1,38,0,1.314807," ","integrate(1/x^3/(4+6*x)^2,x, algorithm=""maxima"")","\frac{27 \, x^{2} + 9 \, x - 2}{32 \, {\left(3 \, x^{3} + 2 \, x^{2}\right)}} - \frac{27}{64} \, \log\left(3 \, x + 2\right) + \frac{27}{64} \, \log\left(x\right)"," ",0,"1/32*(27*x^2 + 9*x - 2)/(3*x^3 + 2*x^2) - 27/64*log(3*x + 2) + 27/64*log(x)","A",0
264,1,43,0,1.308346," ","integrate(1/x^4/(4+6*x)^2,x, algorithm=""maxima"")","-\frac{81 \, x^{3} + 27 \, x^{2} - 6 \, x + 2}{48 \, {\left(3 \, x^{4} + 2 \, x^{3}\right)}} + \frac{27}{32} \, \log\left(3 \, x + 2\right) - \frac{27}{32} \, \log\left(x\right)"," ",0,"-1/48*(81*x^3 + 27*x^2 - 6*x + 2)/(3*x^4 + 2*x^3) + 27/32*log(3*x + 2) - 27/32*log(x)","A",0
265,1,48,0,1.357070," ","integrate(1/x^5/(4+6*x)^2,x, algorithm=""maxima"")","\frac{405 \, x^{4} + 135 \, x^{3} - 30 \, x^{2} + 10 \, x - 4}{128 \, {\left(3 \, x^{5} + 2 \, x^{4}\right)}} - \frac{405}{256} \, \log\left(3 \, x + 2\right) + \frac{405}{256} \, \log\left(x\right)"," ",0,"1/128*(405*x^4 + 135*x^3 - 30*x^2 + 10*x - 4)/(3*x^5 + 2*x^4) - 405/256*log(3*x + 2) + 405/256*log(x)","A",0
266,1,30,0,1.389251," ","integrate(1/x/(4+6*x)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(x + 1\right)}}{32 \, {\left(9 \, x^{2} + 12 \, x + 4\right)}} - \frac{1}{64} \, \log\left(3 \, x + 2\right) + \frac{1}{64} \, \log\left(x\right)"," ",0,"3/32*(x + 1)/(9*x^2 + 12*x + 4) - 1/64*log(3*x + 2) + 1/64*log(x)","A",0
267,1,41,0,1.391127," ","integrate(1/x^2/(4+6*x)^3,x, algorithm=""maxima"")","-\frac{27 \, x^{2} + 27 \, x + 4}{64 \, {\left(9 \, x^{3} + 12 \, x^{2} + 4 \, x\right)}} + \frac{9}{128} \, \log\left(3 \, x + 2\right) - \frac{9}{128} \, \log\left(x\right)"," ",0,"-1/64*(27*x^2 + 27*x + 4)/(9*x^3 + 12*x^2 + 4*x) + 9/128*log(3*x + 2) - 9/128*log(x)","A",0
268,1,48,0,1.384105," ","integrate(1/x^3/(4+6*x)^3,x, algorithm=""maxima"")","\frac{81 \, x^{3} + 81 \, x^{2} + 12 \, x - 2}{64 \, {\left(9 \, x^{4} + 12 \, x^{3} + 4 \, x^{2}\right)}} - \frac{27}{128} \, \log\left(3 \, x + 2\right) + \frac{27}{128} \, \log\left(x\right)"," ",0,"1/64*(81*x^3 + 81*x^2 + 12*x - 2)/(9*x^4 + 12*x^3 + 4*x^2) - 27/128*log(3*x + 2) + 27/128*log(x)","A",0
269,1,53,0,1.379736," ","integrate(1/x^4/(4+6*x)^3,x, algorithm=""maxima"")","-\frac{1215 \, x^{4} + 1215 \, x^{3} + 180 \, x^{2} - 30 \, x + 8}{384 \, {\left(9 \, x^{5} + 12 \, x^{4} + 4 \, x^{3}\right)}} + \frac{135}{256} \, \log\left(3 \, x + 2\right) - \frac{135}{256} \, \log\left(x\right)"," ",0,"-1/384*(1215*x^4 + 1215*x^3 + 180*x^2 - 30*x + 8)/(9*x^5 + 12*x^4 + 4*x^3) + 135/256*log(3*x + 2) - 135/256*log(x)","A",0
270,1,58,0,1.385166," ","integrate(1/x^5/(4+6*x)^3,x, algorithm=""maxima"")","\frac{3645 \, x^{5} + 3645 \, x^{4} + 540 \, x^{3} - 90 \, x^{2} + 24 \, x - 8}{512 \, {\left(9 \, x^{6} + 12 \, x^{5} + 4 \, x^{4}\right)}} - \frac{1215}{1024} \, \log\left(3 \, x + 2\right) + \frac{1215}{1024} \, \log\left(x\right)"," ",0,"1/512*(3645*x^5 + 3645*x^4 + 540*x^3 - 90*x^2 + 24*x - 8)/(9*x^6 + 12*x^5 + 4*x^4) - 1215/1024*log(3*x + 2) + 1215/1024*log(x)","A",0
271,1,6,0,1.336617," ","integrate(1/(2*x+2),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*log(x + 1)","A",0
272,1,8,0,1.339429," ","integrate(1/(4-6*x),x, algorithm=""maxima"")","-\frac{1}{6} \, \log\left(3 \, x - 2\right)"," ",0,"-1/6*log(3*x - 2)","A",0
273,1,12,0,1.250620," ","integrate(1/(a+x*a^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(\sqrt{a} x + a\right)}{\sqrt{a}}"," ",0,"log(sqrt(a)*x + a)/sqrt(a)","A",0
274,1,16,0,1.371750," ","integrate(1/(a+x*(-a)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(\sqrt{-a} x + a\right)}{\sqrt{-a}}"," ",0,"log(sqrt(-a)*x + a)/sqrt(-a)","A",0
275,1,18,0,1.321502," ","integrate(1/(a^2+x*(-a)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(a^{2} + \sqrt{-a} x\right)}{\sqrt{-a}}"," ",0,"log(a^2 + sqrt(-a)*x)/sqrt(-a)","A",0
276,1,18,0,1.307605," ","integrate(1/(a^3+x*(-a)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(a^{3} + \sqrt{-a} x\right)}{\sqrt{-a}}"," ",0,"log(a^3 + sqrt(-a)*x)/sqrt(-a)","A",0
277,1,18,0,1.326731," ","integrate(1/(1/a+x*(-a)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(\sqrt{-a} x + \frac{1}{a}\right)}{\sqrt{-a}}"," ",0,"log(sqrt(-a)*x + 1/a)/sqrt(-a)","A",0
278,1,18,0,1.310412," ","integrate(1/(1/a^2+x*(-a)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(\sqrt{-a} x + \frac{1}{a^{2}}\right)}{\sqrt{-a}}"," ",0,"log(sqrt(-a)*x + 1/a^2)/sqrt(-a)","A",0
279,1,11,0,1.305111," ","integrate(1/x/(b*x+1),x, algorithm=""maxima"")","-\log\left(b x + 1\right) + \log\left(x\right)"," ",0,"-log(b*x + 1) + log(x)","A",0
280,1,11,0,1.360801," ","integrate(1/x/(b*x-1),x, algorithm=""maxima"")","\log\left(b x - 1\right) - \log\left(x\right)"," ",0,"log(b*x - 1) - log(x)","A",0
281,1,19,0,1.317771," ","integrate(1/x^2/(b*x+1),x, algorithm=""maxima"")","b \log\left(b x + 1\right) - b \log\left(x\right) - \frac{1}{x}"," ",0,"b*log(b*x + 1) - b*log(x) - 1/x","A",0
282,1,17,0,1.333369," ","integrate(1/x^2/(b*x-1),x, algorithm=""maxima"")","b \log\left(b x - 1\right) - b \log\left(x\right) + \frac{1}{x}"," ",0,"b*log(b*x - 1) - b*log(x) + 1/x","A",0
283,1,14,0,1.324979," ","integrate(b/x+1/x^2/(b*x+1),x, algorithm=""maxima"")","b \log\left(b x + 1\right) - \frac{1}{x}"," ",0,"b*log(b*x + 1) - 1/x","A",0
284,1,56,0,1.250495," ","integrate(x^3*(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{9}{2}}}{9 \, b^{4}} - \frac{6 \, {\left(b x + a\right)}^{\frac{7}{2}} a}{7 \, b^{4}} + \frac{6 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2}}{5 \, b^{4}} - \frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3}}{3 \, b^{4}}"," ",0,"2/9*(b*x + a)^(9/2)/b^4 - 6/7*(b*x + a)^(7/2)*a/b^4 + 6/5*(b*x + a)^(5/2)*a^2/b^4 - 2/3*(b*x + a)^(3/2)*a^3/b^4","A",0
285,1,41,0,1.406839," ","integrate(x^2*(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}}}{7 \, b^{3}} - \frac{4 \, {\left(b x + a\right)}^{\frac{5}{2}} a}{5 \, b^{3}} + \frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2}}{3 \, b^{3}}"," ",0,"2/7*(b*x + a)^(7/2)/b^3 - 4/5*(b*x + a)^(5/2)*a/b^3 + 2/3*(b*x + a)^(3/2)*a^2/b^3","A",0
286,1,26,0,1.314762," ","integrate(x*(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}}}{5 \, b^{2}} - \frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} a}{3 \, b^{2}}"," ",0,"2/5*(b*x + a)^(5/2)/b^2 - 2/3*(b*x + a)^(3/2)*a/b^2","A",0
287,1,12,0,1.335781," ","integrate((b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"2/3*(b*x + a)^(3/2)/b","A",0
288,1,42,0,2.918734," ","integrate((b*x+a)^(1/2)/x,x, algorithm=""maxima"")","\sqrt{a} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + 2 \, \sqrt{b x + a}"," ",0,"sqrt(a)*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2*sqrt(b*x + a)","A",0
289,1,47,0,2.868646," ","integrate((b*x+a)^(1/2)/x^2,x, algorithm=""maxima"")","\frac{b \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{2 \, \sqrt{a}} - \frac{\sqrt{b x + a}}{x}"," ",0,"1/2*b*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/sqrt(a) - sqrt(b*x + a)/x","A",0
290,1,88,0,3.027140," ","integrate((b*x+a)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{b^{2} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{8 \, a^{\frac{3}{2}}} - \frac{{\left(b x + a\right)}^{\frac{3}{2}} b^{2} + \sqrt{b x + a} a b^{2}}{4 \, {\left({\left(b x + a\right)}^{2} a - 2 \, {\left(b x + a\right)} a^{2} + a^{3}\right)}}"," ",0,"-1/8*b^2*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(3/2) - 1/4*((b*x + a)^(3/2)*b^2 + sqrt(b*x + a)*a*b^2)/((b*x + a)^2*a - 2*(b*x + a)*a^2 + a^3)","A",0
291,1,121,0,3.020037," ","integrate((b*x+a)^(1/2)/x^4,x, algorithm=""maxima"")","\frac{b^{3} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{16 \, a^{\frac{5}{2}}} + \frac{3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{3} - 8 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{3} - 3 \, \sqrt{b x + a} a^{2} b^{3}}{24 \, {\left({\left(b x + a\right)}^{3} a^{2} - 3 \, {\left(b x + a\right)}^{2} a^{3} + 3 \, {\left(b x + a\right)} a^{4} - a^{5}\right)}}"," ",0,"1/16*b^3*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(5/2) + 1/24*(3*(b*x + a)^(5/2)*b^3 - 8*(b*x + a)^(3/2)*a*b^3 - 3*sqrt(b*x + a)*a^2*b^3)/((b*x + a)^3*a^2 - 3*(b*x + a)^2*a^3 + 3*(b*x + a)*a^4 - a^5)","A",0
292,1,56,0,1.348242," ","integrate(x^3*(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{11}{2}}}{11 \, b^{4}} - \frac{2 \, {\left(b x + a\right)}^{\frac{9}{2}} a}{3 \, b^{4}} + \frac{6 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2}}{7 \, b^{4}} - \frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3}}{5 \, b^{4}}"," ",0,"2/11*(b*x + a)^(11/2)/b^4 - 2/3*(b*x + a)^(9/2)*a/b^4 + 6/7*(b*x + a)^(7/2)*a^2/b^4 - 2/5*(b*x + a)^(5/2)*a^3/b^4","A",0
293,1,41,0,1.347118," ","integrate(x^2*(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{9}{2}}}{9 \, b^{3}} - \frac{4 \, {\left(b x + a\right)}^{\frac{7}{2}} a}{7 \, b^{3}} + \frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2}}{5 \, b^{3}}"," ",0,"2/9*(b*x + a)^(9/2)/b^3 - 4/7*(b*x + a)^(7/2)*a/b^3 + 2/5*(b*x + a)^(5/2)*a^2/b^3","A",0
294,1,26,0,1.346742," ","integrate(x*(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}}}{7 \, b^{2}} - \frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}} a}{5 \, b^{2}}"," ",0,"2/7*(b*x + a)^(7/2)/b^2 - 2/5*(b*x + a)^(5/2)*a/b^2","A",0
295,1,12,0,1.286723," ","integrate((b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}}}{5 \, b}"," ",0,"2/5*(b*x + a)^(5/2)/b","A",0
296,1,52,0,2.936794," ","integrate((b*x+a)^(3/2)/x,x, algorithm=""maxima"")","a^{\frac{3}{2}} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + \frac{2}{3} \, {\left(b x + a\right)}^{\frac{3}{2}} + 2 \, \sqrt{b x + a} a"," ",0,"a^(3/2)*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2/3*(b*x + a)^(3/2) + 2*sqrt(b*x + a)*a","A",0
297,1,58,0,2.874856," ","integrate((b*x+a)^(3/2)/x^2,x, algorithm=""maxima"")","\frac{3}{2} \, \sqrt{a} b \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + 2 \, \sqrt{b x + a} b - \frac{\sqrt{b x + a} a}{x}"," ",0,"3/2*sqrt(a)*b*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2*sqrt(b*x + a)*b - sqrt(b*x + a)*a/x","A",0
298,1,86,0,2.984440," ","integrate((b*x+a)^(3/2)/x^3,x, algorithm=""maxima"")","\frac{3 \, b^{2} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{8 \, \sqrt{a}} - \frac{5 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2} - 3 \, \sqrt{b x + a} a b^{2}}{4 \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a + a^{2}\right)}}"," ",0,"3/8*b^2*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/sqrt(a) - 1/4*(5*(b*x + a)^(3/2)*b^2 - 3*sqrt(b*x + a)*a*b^2)/((b*x + a)^2 - 2*(b*x + a)*a + a^2)","A",0
299,1,119,0,3.046997," ","integrate((b*x+a)^(3/2)/x^4,x, algorithm=""maxima"")","-\frac{b^{3} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{16 \, a^{\frac{3}{2}}} - \frac{3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{3} + 8 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{3} - 3 \, \sqrt{b x + a} a^{2} b^{3}}{24 \, {\left({\left(b x + a\right)}^{3} a - 3 \, {\left(b x + a\right)}^{2} a^{2} + 3 \, {\left(b x + a\right)} a^{3} - a^{4}\right)}}"," ",0,"-1/16*b^3*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(3/2) - 1/24*(3*(b*x + a)^(5/2)*b^3 + 8*(b*x + a)^(3/2)*a*b^3 - 3*sqrt(b*x + a)*a^2*b^3)/((b*x + a)^3*a - 3*(b*x + a)^2*a^2 + 3*(b*x + a)*a^3 - a^4)","A",0
300,1,56,0,1.347033," ","integrate(x^3*(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{13}{2}}}{13 \, b^{4}} - \frac{6 \, {\left(b x + a\right)}^{\frac{11}{2}} a}{11 \, b^{4}} + \frac{2 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2}}{3 \, b^{4}} - \frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3}}{7 \, b^{4}}"," ",0,"2/13*(b*x + a)^(13/2)/b^4 - 6/11*(b*x + a)^(11/2)*a/b^4 + 2/3*(b*x + a)^(9/2)*a^2/b^4 - 2/7*(b*x + a)^(7/2)*a^3/b^4","A",0
301,1,41,0,1.366209," ","integrate(x^2*(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{11}{2}}}{11 \, b^{3}} - \frac{4 \, {\left(b x + a\right)}^{\frac{9}{2}} a}{9 \, b^{3}} + \frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2}}{7 \, b^{3}}"," ",0,"2/11*(b*x + a)^(11/2)/b^3 - 4/9*(b*x + a)^(9/2)*a/b^3 + 2/7*(b*x + a)^(7/2)*a^2/b^3","A",0
302,1,26,0,1.370830," ","integrate(x*(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{9}{2}}}{9 \, b^{2}} - \frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}} a}{7 \, b^{2}}"," ",0,"2/9*(b*x + a)^(9/2)/b^2 - 2/7*(b*x + a)^(7/2)*a/b^2","A",0
303,1,12,0,1.341311," ","integrate((b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}}}{7 \, b}"," ",0,"2/7*(b*x + a)^(7/2)/b","A",0
304,1,64,0,3.016765," ","integrate((b*x+a)^(5/2)/x,x, algorithm=""maxima"")","a^{\frac{5}{2}} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + \frac{2}{5} \, {\left(b x + a\right)}^{\frac{5}{2}} + \frac{2}{3} \, {\left(b x + a\right)}^{\frac{3}{2}} a + 2 \, \sqrt{b x + a} a^{2}"," ",0,"a^(5/2)*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2/5*(b*x + a)^(5/2) + 2/3*(b*x + a)^(3/2)*a + 2*sqrt(b*x + a)*a^2","A",0
305,1,71,0,2.944532," ","integrate((b*x+a)^(5/2)/x^2,x, algorithm=""maxima"")","\frac{5}{2} \, a^{\frac{3}{2}} b \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + \frac{2}{3} \, {\left(b x + a\right)}^{\frac{3}{2}} b + 4 \, \sqrt{b x + a} a b - \frac{\sqrt{b x + a} a^{2}}{x}"," ",0,"5/2*a^(3/2)*b*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2/3*(b*x + a)^(3/2)*b + 4*sqrt(b*x + a)*a*b - sqrt(b*x + a)*a^2/x","A",0
306,1,101,0,2.939991," ","integrate((b*x+a)^(5/2)/x^3,x, algorithm=""maxima"")","\frac{15}{8} \, \sqrt{a} b^{2} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + 2 \, \sqrt{b x + a} b^{2} - \frac{9 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{2} - 7 \, \sqrt{b x + a} a^{2} b^{2}}{4 \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a + a^{2}\right)}}"," ",0,"15/8*sqrt(a)*b^2*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2*sqrt(b*x + a)*b^2 - 1/4*(9*(b*x + a)^(3/2)*a*b^2 - 7*sqrt(b*x + a)*a^2*b^2)/((b*x + a)^2 - 2*(b*x + a)*a + a^2)","A",0
307,1,115,0,2.985118," ","integrate((b*x+a)^(5/2)/x^4,x, algorithm=""maxima"")","\frac{5 \, b^{3} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{16 \, \sqrt{a}} - \frac{33 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{3} - 40 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{3} + 15 \, \sqrt{b x + a} a^{2} b^{3}}{24 \, {\left({\left(b x + a\right)}^{3} - 3 \, {\left(b x + a\right)}^{2} a + 3 \, {\left(b x + a\right)} a^{2} - a^{3}\right)}}"," ",0,"5/16*b^3*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/sqrt(a) - 1/24*(33*(b*x + a)^(5/2)*b^3 - 40*(b*x + a)^(3/2)*a*b^3 + 15*sqrt(b*x + a)*a^2*b^3)/((b*x + a)^3 - 3*(b*x + a)^2*a + 3*(b*x + a)*a^2 - a^3)","A",0
308,1,144,0,2.934360," ","integrate((b*x+a)^(5/2)/x^5,x, algorithm=""maxima"")","-\frac{5 \, b^{4} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{128 \, a^{\frac{3}{2}}} - \frac{15 \, {\left(b x + a\right)}^{\frac{7}{2}} b^{4} + 73 \, {\left(b x + a\right)}^{\frac{5}{2}} a b^{4} - 55 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b^{4} + 15 \, \sqrt{b x + a} a^{3} b^{4}}{192 \, {\left({\left(b x + a\right)}^{4} a - 4 \, {\left(b x + a\right)}^{3} a^{2} + 6 \, {\left(b x + a\right)}^{2} a^{3} - 4 \, {\left(b x + a\right)} a^{4} + a^{5}\right)}}"," ",0,"-5/128*b^4*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(3/2) - 1/192*(15*(b*x + a)^(7/2)*b^4 + 73*(b*x + a)^(5/2)*a*b^4 - 55*(b*x + a)^(3/2)*a^2*b^4 + 15*sqrt(b*x + a)*a^3*b^4)/((b*x + a)^4*a - 4*(b*x + a)^3*a^2 + 6*(b*x + a)^2*a^3 - 4*(b*x + a)*a^4 + a^5)","A",0
309,1,116,0,1.333807," ","integrate(x^7*(b*x+a)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{25}{2}}}{25 \, b^{8}} - \frac{14 \, {\left(b x + a\right)}^{\frac{23}{2}} a}{23 \, b^{8}} + \frac{2 \, {\left(b x + a\right)}^{\frac{21}{2}} a^{2}}{b^{8}} - \frac{70 \, {\left(b x + a\right)}^{\frac{19}{2}} a^{3}}{19 \, b^{8}} + \frac{70 \, {\left(b x + a\right)}^{\frac{17}{2}} a^{4}}{17 \, b^{8}} - \frac{14 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{5}}{5 \, b^{8}} + \frac{14 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{6}}{13 \, b^{8}} - \frac{2 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{7}}{11 \, b^{8}}"," ",0,"2/25*(b*x + a)^(25/2)/b^8 - 14/23*(b*x + a)^(23/2)*a/b^8 + 2*(b*x + a)^(21/2)*a^2/b^8 - 70/19*(b*x + a)^(19/2)*a^3/b^8 + 70/17*(b*x + a)^(17/2)*a^4/b^8 - 14/5*(b*x + a)^(15/2)*a^5/b^8 + 14/13*(b*x + a)^(13/2)*a^6/b^8 - 2/11*(b*x + a)^(11/2)*a^7/b^8","A",0
310,1,101,0,1.342819," ","integrate(x^6*(b*x+a)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{23}{2}}}{23 \, b^{7}} - \frac{4 \, {\left(b x + a\right)}^{\frac{21}{2}} a}{7 \, b^{7}} + \frac{30 \, {\left(b x + a\right)}^{\frac{19}{2}} a^{2}}{19 \, b^{7}} - \frac{40 \, {\left(b x + a\right)}^{\frac{17}{2}} a^{3}}{17 \, b^{7}} + \frac{2 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{4}}{b^{7}} - \frac{12 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{5}}{13 \, b^{7}} + \frac{2 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{6}}{11 \, b^{7}}"," ",0,"2/23*(b*x + a)^(23/2)/b^7 - 4/7*(b*x + a)^(21/2)*a/b^7 + 30/19*(b*x + a)^(19/2)*a^2/b^7 - 40/17*(b*x + a)^(17/2)*a^3/b^7 + 2*(b*x + a)^(15/2)*a^4/b^7 - 12/13*(b*x + a)^(13/2)*a^5/b^7 + 2/11*(b*x + a)^(11/2)*a^6/b^7","A",0
311,1,86,0,1.346627," ","integrate(x^5*(b*x+a)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{21}{2}}}{21 \, b^{6}} - \frac{10 \, {\left(b x + a\right)}^{\frac{19}{2}} a}{19 \, b^{6}} + \frac{20 \, {\left(b x + a\right)}^{\frac{17}{2}} a^{2}}{17 \, b^{6}} - \frac{4 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{3}}{3 \, b^{6}} + \frac{10 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{4}}{13 \, b^{6}} - \frac{2 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{5}}{11 \, b^{6}}"," ",0,"2/21*(b*x + a)^(21/2)/b^6 - 10/19*(b*x + a)^(19/2)*a/b^6 + 20/17*(b*x + a)^(17/2)*a^2/b^6 - 4/3*(b*x + a)^(15/2)*a^3/b^6 + 10/13*(b*x + a)^(13/2)*a^4/b^6 - 2/11*(b*x + a)^(11/2)*a^5/b^6","A",0
312,1,71,0,1.358760," ","integrate(x^4*(b*x+a)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{19}{2}}}{19 \, b^{5}} - \frac{8 \, {\left(b x + a\right)}^{\frac{17}{2}} a}{17 \, b^{5}} + \frac{4 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{2}}{5 \, b^{5}} - \frac{8 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{3}}{13 \, b^{5}} + \frac{2 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{4}}{11 \, b^{5}}"," ",0,"2/19*(b*x + a)^(19/2)/b^5 - 8/17*(b*x + a)^(17/2)*a/b^5 + 4/5*(b*x + a)^(15/2)*a^2/b^5 - 8/13*(b*x + a)^(13/2)*a^3/b^5 + 2/11*(b*x + a)^(11/2)*a^4/b^5","A",0
313,1,56,0,1.292592," ","integrate(x^3*(b*x+a)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{17}{2}}}{17 \, b^{4}} - \frac{2 \, {\left(b x + a\right)}^{\frac{15}{2}} a}{5 \, b^{4}} + \frac{6 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{2}}{13 \, b^{4}} - \frac{2 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{3}}{11 \, b^{4}}"," ",0,"2/17*(b*x + a)^(17/2)/b^4 - 2/5*(b*x + a)^(15/2)*a/b^4 + 6/13*(b*x + a)^(13/2)*a^2/b^4 - 2/11*(b*x + a)^(11/2)*a^3/b^4","A",0
314,1,41,0,1.341297," ","integrate(x^2*(b*x+a)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{15}{2}}}{15 \, b^{3}} - \frac{4 \, {\left(b x + a\right)}^{\frac{13}{2}} a}{13 \, b^{3}} + \frac{2 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{2}}{11 \, b^{3}}"," ",0,"2/15*(b*x + a)^(15/2)/b^3 - 4/13*(b*x + a)^(13/2)*a/b^3 + 2/11*(b*x + a)^(11/2)*a^2/b^3","A",0
315,1,26,0,1.355539," ","integrate(x*(b*x+a)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{13}{2}}}{13 \, b^{2}} - \frac{2 \, {\left(b x + a\right)}^{\frac{11}{2}} a}{11 \, b^{2}}"," ",0,"2/13*(b*x + a)^(13/2)/b^2 - 2/11*(b*x + a)^(11/2)*a/b^2","A",0
316,1,12,0,1.335577," ","integrate((b*x+a)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{11}{2}}}{11 \, b}"," ",0,"2/11*(b*x + a)^(11/2)/b","A",0
317,1,88,0,2.941549," ","integrate((b*x+a)^(9/2)/x,x, algorithm=""maxima"")","a^{\frac{9}{2}} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + \frac{2}{9} \, {\left(b x + a\right)}^{\frac{9}{2}} + \frac{2}{7} \, {\left(b x + a\right)}^{\frac{7}{2}} a + \frac{2}{5} \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} + \frac{2}{3} \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 2 \, \sqrt{b x + a} a^{4}"," ",0,"a^(9/2)*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2/9*(b*x + a)^(9/2) + 2/7*(b*x + a)^(7/2)*a + 2/5*(b*x + a)^(5/2)*a^2 + 2/3*(b*x + a)^(3/2)*a^3 + 2*sqrt(b*x + a)*a^4","A",0
318,1,97,0,2.968215," ","integrate((b*x+a)^(9/2)/x^2,x, algorithm=""maxima"")","\frac{9}{2} \, a^{\frac{7}{2}} b \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + \frac{2}{7} \, {\left(b x + a\right)}^{\frac{7}{2}} b + \frac{4}{5} \, {\left(b x + a\right)}^{\frac{5}{2}} a b + 2 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b + 8 \, \sqrt{b x + a} a^{3} b - \frac{\sqrt{b x + a} a^{4}}{x}"," ",0,"9/2*a^(7/2)*b*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2/7*(b*x + a)^(7/2)*b + 4/5*(b*x + a)^(5/2)*a*b + 2*(b*x + a)^(3/2)*a^2*b + 8*sqrt(b*x + a)*a^3*b - sqrt(b*x + a)*a^4/x","A",0
319,1,131,0,2.952001," ","integrate((b*x+a)^(9/2)/x^3,x, algorithm=""maxima"")","\frac{63}{8} \, a^{\frac{5}{2}} b^{2} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + \frac{2}{5} \, {\left(b x + a\right)}^{\frac{5}{2}} b^{2} + 2 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{2} + 12 \, \sqrt{b x + a} a^{2} b^{2} - \frac{17 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b^{2} - 15 \, \sqrt{b x + a} a^{4} b^{2}}{4 \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a + a^{2}\right)}}"," ",0,"63/8*a^(5/2)*b^2*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2/5*(b*x + a)^(5/2)*b^2 + 2*(b*x + a)^(3/2)*a*b^2 + 12*sqrt(b*x + a)*a^2*b^2 - 1/4*(17*(b*x + a)^(3/2)*a^3*b^2 - 15*sqrt(b*x + a)*a^4*b^2)/((b*x + a)^2 - 2*(b*x + a)*a + a^2)","A",0
320,1,145,0,2.939139," ","integrate((b*x+a)^(9/2)/x^4,x, algorithm=""maxima"")","\frac{105}{16} \, a^{\frac{3}{2}} b^{3} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + \frac{2}{3} \, {\left(b x + a\right)}^{\frac{3}{2}} b^{3} + 8 \, \sqrt{b x + a} a b^{3} - \frac{165 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} b^{3} - 280 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b^{3} + 123 \, \sqrt{b x + a} a^{4} b^{3}}{24 \, {\left({\left(b x + a\right)}^{3} - 3 \, {\left(b x + a\right)}^{2} a + 3 \, {\left(b x + a\right)} a^{2} - a^{3}\right)}}"," ",0,"105/16*a^(3/2)*b^3*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2/3*(b*x + a)^(3/2)*b^3 + 8*sqrt(b*x + a)*a*b^3 - 1/24*(165*(b*x + a)^(5/2)*a^2*b^3 - 280*(b*x + a)^(3/2)*a^3*b^3 + 123*sqrt(b*x + a)*a^4*b^3)/((b*x + a)^3 - 3*(b*x + a)^2*a + 3*(b*x + a)*a^2 - a^3)","A",0
321,1,155,0,2.964945," ","integrate((b*x+a)^(9/2)/x^5,x, algorithm=""maxima"")","\frac{315}{128} \, \sqrt{a} b^{4} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + 2 \, \sqrt{b x + a} b^{4} - \frac{325 \, {\left(b x + a\right)}^{\frac{7}{2}} a b^{4} - 765 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} b^{4} + 643 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b^{4} - 187 \, \sqrt{b x + a} a^{4} b^{4}}{64 \, {\left({\left(b x + a\right)}^{4} - 4 \, {\left(b x + a\right)}^{3} a + 6 \, {\left(b x + a\right)}^{2} a^{2} - 4 \, {\left(b x + a\right)} a^{3} + a^{4}\right)}}"," ",0,"315/128*sqrt(a)*b^4*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2*sqrt(b*x + a)*b^4 - 1/64*(325*(b*x + a)^(7/2)*a*b^4 - 765*(b*x + a)^(5/2)*a^2*b^4 + 643*(b*x + a)^(3/2)*a^3*b^4 - 187*sqrt(b*x + a)*a^4*b^4)/((b*x + a)^4 - 4*(b*x + a)^3*a + 6*(b*x + a)^2*a^2 - 4*(b*x + a)*a^3 + a^4)","A",0
322,1,169,0,2.965241," ","integrate((b*x+a)^(9/2)/x^6,x, algorithm=""maxima"")","\frac{63 \, b^{5} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{256 \, \sqrt{a}} - \frac{965 \, {\left(b x + a\right)}^{\frac{9}{2}} b^{5} - 2370 \, {\left(b x + a\right)}^{\frac{7}{2}} a b^{5} + 2688 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} b^{5} - 1470 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b^{5} + 315 \, \sqrt{b x + a} a^{4} b^{5}}{640 \, {\left({\left(b x + a\right)}^{5} - 5 \, {\left(b x + a\right)}^{4} a + 10 \, {\left(b x + a\right)}^{3} a^{2} - 10 \, {\left(b x + a\right)}^{2} a^{3} + 5 \, {\left(b x + a\right)} a^{4} - a^{5}\right)}}"," ",0,"63/256*b^5*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/sqrt(a) - 1/640*(965*(b*x + a)^(9/2)*b^5 - 2370*(b*x + a)^(7/2)*a*b^5 + 2688*(b*x + a)^(5/2)*a^2*b^5 - 1470*(b*x + a)^(3/2)*a^3*b^5 + 315*sqrt(b*x + a)*a^4*b^5)/((b*x + a)^5 - 5*(b*x + a)^4*a + 10*(b*x + a)^3*a^2 - 10*(b*x + a)^2*a^3 + 5*(b*x + a)*a^4 - a^5)","A",0
323,1,198,0,3.034383," ","integrate((b*x+a)^(9/2)/x^7,x, algorithm=""maxima"")","-\frac{21 \, b^{6} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{1024 \, a^{\frac{3}{2}}} - \frac{315 \, {\left(b x + a\right)}^{\frac{11}{2}} b^{6} + 3335 \, {\left(b x + a\right)}^{\frac{9}{2}} a b^{6} - 5058 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} b^{6} + 4158 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} b^{6} - 1785 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} b^{6} + 315 \, \sqrt{b x + a} a^{5} b^{6}}{7680 \, {\left({\left(b x + a\right)}^{6} a - 6 \, {\left(b x + a\right)}^{5} a^{2} + 15 \, {\left(b x + a\right)}^{4} a^{3} - 20 \, {\left(b x + a\right)}^{3} a^{4} + 15 \, {\left(b x + a\right)}^{2} a^{5} - 6 \, {\left(b x + a\right)} a^{6} + a^{7}\right)}}"," ",0,"-21/1024*b^6*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(3/2) - 1/7680*(315*(b*x + a)^(11/2)*b^6 + 3335*(b*x + a)^(9/2)*a*b^6 - 5058*(b*x + a)^(7/2)*a^2*b^6 + 4158*(b*x + a)^(5/2)*a^3*b^6 - 1785*(b*x + a)^(3/2)*a^4*b^6 + 315*sqrt(b*x + a)*a^5*b^6)/((b*x + a)^6*a - 6*(b*x + a)^5*a^2 + 15*(b*x + a)^4*a^3 - 20*(b*x + a)^3*a^4 + 15*(b*x + a)^2*a^5 - 6*(b*x + a)*a^6 + a^7)","A",0
324,1,229,0,3.082660," ","integrate((b*x+a)^(9/2)/x^8,x, algorithm=""maxima"")","\frac{9 \, b^{7} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{2048 \, a^{\frac{5}{2}}} + \frac{315 \, {\left(b x + a\right)}^{\frac{13}{2}} b^{7} - 2100 \, {\left(b x + a\right)}^{\frac{11}{2}} a b^{7} - 8393 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} b^{7} + 9216 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} b^{7} - 5943 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} b^{7} + 2100 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} b^{7} - 315 \, \sqrt{b x + a} a^{6} b^{7}}{35840 \, {\left({\left(b x + a\right)}^{7} a^{2} - 7 \, {\left(b x + a\right)}^{6} a^{3} + 21 \, {\left(b x + a\right)}^{5} a^{4} - 35 \, {\left(b x + a\right)}^{4} a^{5} + 35 \, {\left(b x + a\right)}^{3} a^{6} - 21 \, {\left(b x + a\right)}^{2} a^{7} + 7 \, {\left(b x + a\right)} a^{8} - a^{9}\right)}}"," ",0,"9/2048*b^7*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(5/2) + 1/35840*(315*(b*x + a)^(13/2)*b^7 - 2100*(b*x + a)^(11/2)*a*b^7 - 8393*(b*x + a)^(9/2)*a^2*b^7 + 9216*(b*x + a)^(7/2)*a^3*b^7 - 5943*(b*x + a)^(5/2)*a^4*b^7 + 2100*(b*x + a)^(3/2)*a^5*b^7 - 315*sqrt(b*x + a)*a^6*b^7)/((b*x + a)^7*a^2 - 7*(b*x + a)^6*a^3 + 21*(b*x + a)^5*a^4 - 35*(b*x + a)^4*a^5 + 35*(b*x + a)^3*a^6 - 21*(b*x + a)^2*a^7 + 7*(b*x + a)*a^8 - a^9)","A",0
325,1,31,0,2.939137," ","integrate((b*x-a)^(1/2)/x,x, algorithm=""maxima"")","-2 \, \sqrt{a} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + 2 \, \sqrt{b x - a}"," ",0,"-2*sqrt(a)*arctan(sqrt(b*x - a)/sqrt(a)) + 2*sqrt(b*x - a)","A",0
326,1,34,0,2.941945," ","integrate((b*x-a)^(1/2)/x^2,x, algorithm=""maxima"")","\frac{b \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{\sqrt{a}} - \frac{\sqrt{b x - a}}{x}"," ",0,"b*arctan(sqrt(b*x - a)/sqrt(a))/sqrt(a) - sqrt(b*x - a)/x","A",0
327,1,83,0,2.964245," ","integrate((b*x-a)^(1/2)/x^3,x, algorithm=""maxima"")","\frac{b^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{4 \, a^{\frac{3}{2}}} + \frac{{\left(b x - a\right)}^{\frac{3}{2}} b^{2} - \sqrt{b x - a} a b^{2}}{4 \, {\left({\left(b x - a\right)}^{2} a + 2 \, {\left(b x - a\right)} a^{2} + a^{3}\right)}}"," ",0,"1/4*b^2*arctan(sqrt(b*x - a)/sqrt(a))/a^(3/2) + 1/4*((b*x - a)^(3/2)*b^2 - sqrt(b*x - a)*a*b^2)/((b*x - a)^2*a + 2*(b*x - a)*a^2 + a^3)","A",0
328,1,43,0,3.018336," ","integrate((b*x-a)^(3/2)/x,x, algorithm=""maxima"")","2 \, a^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + \frac{2}{3} \, {\left(b x - a\right)}^{\frac{3}{2}} - 2 \, \sqrt{b x - a} a"," ",0,"2*a^(3/2)*arctan(sqrt(b*x - a)/sqrt(a)) + 2/3*(b*x - a)^(3/2) - 2*sqrt(b*x - a)*a","A",0
329,1,47,0,3.000641," ","integrate((b*x-a)^(3/2)/x^2,x, algorithm=""maxima"")","-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,"-3*sqrt(a)*b*arctan(sqrt(b*x - a)/sqrt(a)) + 2*sqrt(b*x - a)*b + sqrt(b*x - a)*a/x","A",0
330,1,80,0,3.021364," ","integrate((b*x-a)^(3/2)/x^3,x, algorithm=""maxima"")","\frac{3 \, b^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{4 \, \sqrt{a}} - \frac{5 \, {\left(b x - a\right)}^{\frac{3}{2}} b^{2} + 3 \, \sqrt{b x - a} a b^{2}}{4 \, {\left({\left(b x - a\right)}^{2} + 2 \, {\left(b x - a\right)} a + a^{2}\right)}}"," ",0,"3/4*b^2*arctan(sqrt(b*x - a)/sqrt(a))/sqrt(a) - 1/4*(5*(b*x - a)^(3/2)*b^2 + 3*sqrt(b*x - a)*a*b^2)/((b*x - a)^2 + 2*(b*x - a)*a + a^2)","A",0
331,1,57,0,2.918195," ","integrate((b*x-a)^(5/2)/x,x, algorithm=""maxima"")","-2 \, a^{\frac{5}{2}} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + \frac{2}{5} \, {\left(b x - a\right)}^{\frac{5}{2}} - \frac{2}{3} \, {\left(b x - a\right)}^{\frac{3}{2}} a + 2 \, \sqrt{b x - a} a^{2}"," ",0,"-2*a^(5/2)*arctan(sqrt(b*x - a)/sqrt(a)) + 2/5*(b*x - a)^(5/2) - 2/3*(b*x - a)^(3/2)*a + 2*sqrt(b*x - a)*a^2","A",0
332,1,63,0,3.048805," ","integrate((b*x-a)^(5/2)/x^2,x, algorithm=""maxima"")","5 \, a^{\frac{3}{2}} b \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + \frac{2}{3} \, {\left(b x - a\right)}^{\frac{3}{2}} b - 4 \, \sqrt{b x - a} a b - \frac{\sqrt{b x - a} a^{2}}{x}"," ",0,"5*a^(3/2)*b*arctan(sqrt(b*x - a)/sqrt(a)) + 2/3*(b*x - a)^(3/2)*b - 4*sqrt(b*x - a)*a*b - sqrt(b*x - a)*a^2/x","A",0
333,1,97,0,2.924490," ","integrate((b*x-a)^(5/2)/x^3,x, algorithm=""maxima"")","-\frac{15}{4} \, \sqrt{a} b^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + 2 \, \sqrt{b x - a} b^{2} + \frac{9 \, {\left(b x - a\right)}^{\frac{3}{2}} a b^{2} + 7 \, \sqrt{b x - a} a^{2} b^{2}}{4 \, {\left({\left(b x - a\right)}^{2} + 2 \, {\left(b x - a\right)} a + a^{2}\right)}}"," ",0,"-15/4*sqrt(a)*b^2*arctan(sqrt(b*x - a)/sqrt(a)) + 2*sqrt(b*x - a)*b^2 + 1/4*(9*(b*x - a)^(3/2)*a*b^2 + 7*sqrt(b*x - a)*a^2*b^2)/((b*x - a)^2 + 2*(b*x - a)*a + a^2)","A",0
334,1,71,0,1.344539," ","integrate(x^4/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{9}{2}}}{9 \, b^{5}} - \frac{8 \, {\left(b x + a\right)}^{\frac{7}{2}} a}{7 \, b^{5}} + \frac{12 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2}}{5 \, b^{5}} - \frac{8 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3}}{3 \, b^{5}} + \frac{2 \, \sqrt{b x + a} a^{4}}{b^{5}}"," ",0,"2/9*(b*x + a)^(9/2)/b^5 - 8/7*(b*x + a)^(7/2)*a/b^5 + 12/5*(b*x + a)^(5/2)*a^2/b^5 - 8/3*(b*x + a)^(3/2)*a^3/b^5 + 2*sqrt(b*x + a)*a^4/b^5","A",0
335,1,56,0,1.254303," ","integrate(x^3/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}}}{7 \, b^{4}} - \frac{6 \, {\left(b x + a\right)}^{\frac{5}{2}} a}{5 \, b^{4}} + \frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2}}{b^{4}} - \frac{2 \, \sqrt{b x + a} a^{3}}{b^{4}}"," ",0,"2/7*(b*x + a)^(7/2)/b^4 - 6/5*(b*x + a)^(5/2)*a/b^4 + 2*(b*x + a)^(3/2)*a^2/b^4 - 2*sqrt(b*x + a)*a^3/b^4","A",0
336,1,41,0,1.322945," ","integrate(x^2/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}}}{5 \, b^{3}} - \frac{4 \, {\left(b x + a\right)}^{\frac{3}{2}} a}{3 \, b^{3}} + \frac{2 \, \sqrt{b x + a} a^{2}}{b^{3}}"," ",0,"2/5*(b*x + a)^(5/2)/b^3 - 4/3*(b*x + a)^(3/2)*a/b^3 + 2*sqrt(b*x + a)*a^2/b^3","A",0
337,1,26,0,1.320127," ","integrate(x/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, b^{2}} - \frac{2 \, \sqrt{b x + a} a}{b^{2}}"," ",0,"2/3*(b*x + a)^(3/2)/b^2 - 2*sqrt(b*x + a)*a/b^2","A",0
338,1,12,0,1.297683," ","integrate(1/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x + a}}{b}"," ",0,"2*sqrt(b*x + a)/b","A",0
339,1,32,0,2.936401," ","integrate(1/x/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{\sqrt{a}}"," ",0,"log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/sqrt(a)","A",0
340,1,60,0,2.998683," ","integrate(1/x^2/(b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{b x + a} b}{{\left(b x + a\right)} a - a^{2}} - \frac{b \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{2 \, a^{\frac{3}{2}}}"," ",0,"-sqrt(b*x + a)*b/((b*x + a)*a - a^2) - 1/2*b*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(3/2)","A",0
341,1,92,0,2.916984," ","integrate(1/x^3/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{3 \, b^{2} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{8 \, a^{\frac{5}{2}}} + \frac{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2} - 5 \, \sqrt{b x + a} a b^{2}}{4 \, {\left({\left(b x + a\right)}^{2} a^{2} - 2 \, {\left(b x + a\right)} a^{3} + a^{4}\right)}}"," ",0,"3/8*b^2*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(5/2) + 1/4*(3*(b*x + a)^(3/2)*b^2 - 5*sqrt(b*x + a)*a*b^2)/((b*x + a)^2*a^2 - 2*(b*x + a)*a^3 + a^4)","A",0
342,1,121,0,2.915663," ","integrate(1/x^4/(b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{5 \, b^{3} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{16 \, a^{\frac{7}{2}}} - \frac{15 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{3} - 40 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{3} + 33 \, \sqrt{b x + a} a^{2} b^{3}}{24 \, {\left({\left(b x + a\right)}^{3} a^{3} - 3 \, {\left(b x + a\right)}^{2} a^{4} + 3 \, {\left(b x + a\right)} a^{5} - a^{6}\right)}}"," ",0,"-5/16*b^3*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(7/2) - 1/24*(15*(b*x + a)^(5/2)*b^3 - 40*(b*x + a)^(3/2)*a*b^3 + 33*sqrt(b*x + a)*a^2*b^3)/((b*x + a)^3*a^3 - 3*(b*x + a)^2*a^4 + 3*(b*x + a)*a^5 - a^6)","A",0
343,1,71,0,1.328816," ","integrate(x^4/(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}}}{7 \, b^{5}} - \frac{8 \, {\left(b x + a\right)}^{\frac{5}{2}} a}{5 \, b^{5}} + \frac{4 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2}}{b^{5}} - \frac{8 \, \sqrt{b x + a} a^{3}}{b^{5}} - \frac{2 \, a^{4}}{\sqrt{b x + a} b^{5}}"," ",0,"2/7*(b*x + a)^(7/2)/b^5 - 8/5*(b*x + a)^(5/2)*a/b^5 + 4*(b*x + a)^(3/2)*a^2/b^5 - 8*sqrt(b*x + a)*a^3/b^5 - 2*a^4/(sqrt(b*x + a)*b^5)","A",0
344,1,56,0,1.375494," ","integrate(x^3/(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}}}{5 \, b^{4}} - \frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} a}{b^{4}} + \frac{6 \, \sqrt{b x + a} a^{2}}{b^{4}} + \frac{2 \, a^{3}}{\sqrt{b x + a} b^{4}}"," ",0,"2/5*(b*x + a)^(5/2)/b^4 - 2*(b*x + a)^(3/2)*a/b^4 + 6*sqrt(b*x + a)*a^2/b^4 + 2*a^3/(sqrt(b*x + a)*b^4)","A",0
345,1,41,0,1.290323," ","integrate(x^2/(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, b^{3}} - \frac{4 \, \sqrt{b x + a} a}{b^{3}} - \frac{2 \, a^{2}}{\sqrt{b x + a} b^{3}}"," ",0,"2/3*(b*x + a)^(3/2)/b^3 - 4*sqrt(b*x + a)*a/b^3 - 2*a^2/(sqrt(b*x + a)*b^3)","A",0
346,1,26,0,1.324304," ","integrate(x/(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x + a}}{b^{2}} + \frac{2 \, a}{\sqrt{b x + a} b^{2}}"," ",0,"2*sqrt(b*x + a)/b^2 + 2*a/(sqrt(b*x + a)*b^2)","A",0
347,1,12,0,1.341365," ","integrate(1/(b*x+a)^(3/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{b x + a} b}"," ",0,"-2/(sqrt(b*x + a)*b)","A",0
348,1,45,0,2.925566," ","integrate(1/x/(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{a^{\frac{3}{2}}} + \frac{2}{\sqrt{b x + a} a}"," ",0,"log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(3/2) + 2/(sqrt(b*x + a)*a)","A",0
349,1,76,0,3.011801," ","integrate(1/x^2/(b*x+a)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(b x + a\right)} b - 2 \, a b}{{\left(b x + a\right)}^{\frac{3}{2}} a^{2} - \sqrt{b x + a} a^{3}} - \frac{3 \, b \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{2 \, a^{\frac{5}{2}}}"," ",0,"-(3*(b*x + a)*b - 2*a*b)/((b*x + a)^(3/2)*a^2 - sqrt(b*x + a)*a^3) - 3/2*b*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(5/2)","A",0
350,1,108,0,3.063244," ","integrate(1/x^3/(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{15 \, {\left(b x + a\right)}^{2} b^{2} - 25 \, {\left(b x + a\right)} a b^{2} + 8 \, a^{2} b^{2}}{4 \, {\left({\left(b x + a\right)}^{\frac{5}{2}} a^{3} - 2 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} + \sqrt{b x + a} a^{5}\right)}} + \frac{15 \, b^{2} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{8 \, a^{\frac{7}{2}}}"," ",0,"1/4*(15*(b*x + a)^2*b^2 - 25*(b*x + a)*a*b^2 + 8*a^2*b^2)/((b*x + a)^(5/2)*a^3 - 2*(b*x + a)^(3/2)*a^4 + sqrt(b*x + a)*a^5) + 15/8*b^2*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(7/2)","A",0
351,1,71,0,1.348739," ","integrate(x^4/(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}}}{5 \, b^{5}} - \frac{8 \, {\left(b x + a\right)}^{\frac{3}{2}} a}{3 \, b^{5}} + \frac{12 \, \sqrt{b x + a} a^{2}}{b^{5}} + \frac{8 \, a^{3}}{\sqrt{b x + a} b^{5}} - \frac{2 \, a^{4}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{5}}"," ",0,"2/5*(b*x + a)^(5/2)/b^5 - 8/3*(b*x + a)^(3/2)*a/b^5 + 12*sqrt(b*x + a)*a^2/b^5 + 8*a^3/(sqrt(b*x + a)*b^5) - 2/3*a^4/((b*x + a)^(3/2)*b^5)","A",0
352,1,56,0,1.252589," ","integrate(x^3/(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, b^{4}} - \frac{6 \, \sqrt{b x + a} a}{b^{4}} - \frac{6 \, a^{2}}{\sqrt{b x + a} b^{4}} + \frac{2 \, a^{3}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{4}}"," ",0,"2/3*(b*x + a)^(3/2)/b^4 - 6*sqrt(b*x + a)*a/b^4 - 6*a^2/(sqrt(b*x + a)*b^4) + 2/3*a^3/((b*x + a)^(3/2)*b^4)","A",0
353,1,41,0,1.327905," ","integrate(x^2/(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x + a}}{b^{3}} + \frac{4 \, a}{\sqrt{b x + a} b^{3}} - \frac{2 \, a^{2}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{3}}"," ",0,"2*sqrt(b*x + a)/b^3 + 4*a/(sqrt(b*x + a)*b^3) - 2/3*a^2/((b*x + a)^(3/2)*b^3)","A",0
354,1,26,0,1.337773," ","integrate(x/(b*x+a)^(5/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{b x + a} b^{2}} + \frac{2 \, a}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2}}"," ",0,"-2/(sqrt(b*x + a)*b^2) + 2/3*a/((b*x + a)^(3/2)*b^2)","A",0
355,1,12,0,1.306647," ","integrate(1/(b*x+a)^(5/2),x, algorithm=""maxima"")","-\frac{2}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b}"," ",0,"-2/3/((b*x + a)^(3/2)*b)","A",0
356,1,53,0,2.911745," ","integrate(1/x/(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{a^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, b x + 4 \, a\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2}}"," ",0,"log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(5/2) + 2/3*(3*b*x + 4*a)/((b*x + a)^(3/2)*a^2)","A",0
357,1,89,0,3.031564," ","integrate(1/x^2/(b*x+a)^(5/2),x, algorithm=""maxima"")","-\frac{15 \, {\left(b x + a\right)}^{2} b - 10 \, {\left(b x + a\right)} a b - 2 \, a^{2} b}{3 \, {\left({\left(b x + a\right)}^{\frac{5}{2}} a^{3} - {\left(b x + a\right)}^{\frac{3}{2}} a^{4}\right)}} - \frac{5 \, b \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{2 \, a^{\frac{7}{2}}}"," ",0,"-1/3*(15*(b*x + a)^2*b - 10*(b*x + a)*a*b - 2*a^2*b)/((b*x + a)^(5/2)*a^3 - (b*x + a)^(3/2)*a^4) - 5/2*b*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(7/2)","A",0
358,1,123,0,3.000749," ","integrate(1/x^3/(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{105 \, {\left(b x + a\right)}^{3} b^{2} - 175 \, {\left(b x + a\right)}^{2} a b^{2} + 56 \, {\left(b x + a\right)} a^{2} b^{2} + 8 \, a^{3} b^{2}}{12 \, {\left({\left(b x + a\right)}^{\frac{7}{2}} a^{4} - 2 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{5} + {\left(b x + a\right)}^{\frac{3}{2}} a^{6}\right)}} + \frac{35 \, b^{2} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{8 \, a^{\frac{9}{2}}}"," ",0,"1/12*(105*(b*x + a)^3*b^2 - 175*(b*x + a)^2*a*b^2 + 56*(b*x + a)*a^2*b^2 + 8*a^3*b^2)/((b*x + a)^(7/2)*a^4 - 2*(b*x + a)^(5/2)*a^5 + (b*x + a)^(3/2)*a^6) + 35/8*b^2*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(9/2)","A",0
359,1,19,0,2.991089," ","integrate(1/x/(b*x-a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{\sqrt{a}}"," ",0,"2*arctan(sqrt(b*x - a)/sqrt(a))/sqrt(a)","A",0
360,1,46,0,2.976337," ","integrate(1/x^2/(b*x-a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b x - a} b}{{\left(b x - a\right)} a + a^{2}} + \frac{b \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{a^{\frac{3}{2}}}"," ",0,"sqrt(b*x - a)*b/((b*x - a)*a + a^2) + b*arctan(sqrt(b*x - a)/sqrt(a))/a^(3/2)","A",0
361,1,86,0,2.957168," ","integrate(1/x^3/(b*x-a)^(1/2),x, algorithm=""maxima"")","\frac{3 \, b^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{4 \, a^{\frac{5}{2}}} + \frac{3 \, {\left(b x - a\right)}^{\frac{3}{2}} b^{2} + 5 \, \sqrt{b x - a} a b^{2}}{4 \, {\left({\left(b x - a\right)}^{2} a^{2} + 2 \, {\left(b x - a\right)} a^{3} + a^{4}\right)}}"," ",0,"3/4*b^2*arctan(sqrt(b*x - a)/sqrt(a))/a^(5/2) + 1/4*(3*(b*x - a)^(3/2)*b^2 + 5*sqrt(b*x - a)*a*b^2)/((b*x - a)^2*a^2 + 2*(b*x - a)*a^3 + a^4)","A",0
362,1,34,0,2.971564," ","integrate(1/x/(b*x-a)^(3/2),x, algorithm=""maxima"")","-\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(sqrt(b*x - a)/sqrt(a))/a^(3/2) - 2/(sqrt(b*x - a)*a)","A",0
363,1,67,0,3.021961," ","integrate(1/x^2/(b*x-a)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(b x - a\right)} b + 2 \, a b}{{\left(b x - a\right)}^{\frac{3}{2}} a^{2} + \sqrt{b x - a} a^{3}} - \frac{3 \, b \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{a^{\frac{5}{2}}}"," ",0,"-(3*(b*x - a)*b + 2*a*b)/((b*x - a)^(3/2)*a^2 + sqrt(b*x - a)*a^3) - 3*b*arctan(sqrt(b*x - a)/sqrt(a))/a^(5/2)","A",0
364,1,104,0,2.926256," ","integrate(1/x^3/(b*x-a)^(3/2),x, algorithm=""maxima"")","-\frac{15 \, {\left(b x - a\right)}^{2} b^{2} + 25 \, {\left(b x - a\right)} a b^{2} + 8 \, a^{2} b^{2}}{4 \, {\left({\left(b x - a\right)}^{\frac{5}{2}} a^{3} + 2 \, {\left(b x - a\right)}^{\frac{3}{2}} a^{4} + \sqrt{b x - a} a^{5}\right)}} - \frac{15 \, b^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{4 \, a^{\frac{7}{2}}}"," ",0,"-1/4*(15*(b*x - a)^2*b^2 + 25*(b*x - a)*a*b^2 + 8*a^2*b^2)/((b*x - a)^(5/2)*a^3 + 2*(b*x - a)^(3/2)*a^4 + sqrt(b*x - a)*a^5) - 15/4*b^2*arctan(sqrt(b*x - a)/sqrt(a))/a^(7/2)","A",0
365,1,42,0,2.937553," ","integrate(1/x/(b*x-a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{a^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, b x - 4 \, a\right)}}{3 \, {\left(b x - a\right)}^{\frac{3}{2}} a^{2}}"," ",0,"2*arctan(sqrt(b*x - a)/sqrt(a))/a^(5/2) + 2/3*(3*b*x - 4*a)/((b*x - a)^(3/2)*a^2)","A",0
366,1,82,0,2.928229," ","integrate(1/x^2/(b*x-a)^(5/2),x, algorithm=""maxima"")","\frac{15 \, {\left(b x - a\right)}^{2} b + 10 \, {\left(b x - a\right)} a b - 2 \, a^{2} b}{3 \, {\left({\left(b x - a\right)}^{\frac{5}{2}} a^{3} + {\left(b x - a\right)}^{\frac{3}{2}} a^{4}\right)}} + \frac{5 \, b \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{a^{\frac{7}{2}}}"," ",0,"1/3*(15*(b*x - a)^2*b + 10*(b*x - a)*a*b - 2*a^2*b)/((b*x - a)^(5/2)*a^3 + (b*x - a)^(3/2)*a^4) + 5*b*arctan(sqrt(b*x - a)/sqrt(a))/a^(7/2)","A",0
367,1,121,0,2.874785," ","integrate(1/x^3/(b*x-a)^(5/2),x, algorithm=""maxima"")","\frac{105 \, {\left(b x - a\right)}^{3} b^{2} + 175 \, {\left(b x - a\right)}^{2} a b^{2} + 56 \, {\left(b x - a\right)} a^{2} b^{2} - 8 \, a^{3} b^{2}}{12 \, {\left({\left(b x - a\right)}^{\frac{7}{2}} a^{4} + 2 \, {\left(b x - a\right)}^{\frac{5}{2}} a^{5} + {\left(b x - a\right)}^{\frac{3}{2}} a^{6}\right)}} + \frac{35 \, b^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{4 \, a^{\frac{9}{2}}}"," ",0,"1/12*(105*(b*x - a)^3*b^2 + 175*(b*x - a)^2*a*b^2 + 56*(b*x - a)*a^2*b^2 - 8*a^3*b^2)/((b*x - a)^(7/2)*a^4 + 2*(b*x - a)^(5/2)*a^5 + (b*x - a)^(3/2)*a^6) + 35/4*b^2*arctan(sqrt(b*x - a)/sqrt(a))/a^(9/2)","A",0
368,1,11,0,1.874653," ","integrate(1/2*x^(-1+m)*(2*a*m+b*(-1+2*m)*x)/(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{x^{m}}{\sqrt{b x + a}}"," ",0,"x^m/sqrt(b*x + a)","A",0
369,1,11,0,1.862251," ","integrate(-1/2*b*x^m/(b*x+a)^(3/2)+m*x^(-1+m)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{x^{m}}{\sqrt{b x + a}}"," ",0,"x^m/sqrt(b*x + a)","A",0
370,1,32,0,2.991109," ","integrate(1/x/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{\sqrt{a}}"," ",0,"log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/sqrt(a)","A",0
371,1,56,0,1.385412," ","integrate(x^3*(b*x+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{13}{3}}}{13 \, b^{4}} - \frac{9 \, {\left(b x + a\right)}^{\frac{10}{3}} a}{10 \, b^{4}} + \frac{9 \, {\left(b x + a\right)}^{\frac{7}{3}} a^{2}}{7 \, b^{4}} - \frac{3 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{3}}{4 \, b^{4}}"," ",0,"3/13*(b*x + a)^(13/3)/b^4 - 9/10*(b*x + a)^(10/3)*a/b^4 + 9/7*(b*x + a)^(7/3)*a^2/b^4 - 3/4*(b*x + a)^(4/3)*a^3/b^4","A",0
372,1,41,0,1.303615," ","integrate(x^2*(b*x+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{10}{3}}}{10 \, b^{3}} - \frac{6 \, {\left(b x + a\right)}^{\frac{7}{3}} a}{7 \, b^{3}} + \frac{3 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{2}}{4 \, b^{3}}"," ",0,"3/10*(b*x + a)^(10/3)/b^3 - 6/7*(b*x + a)^(7/3)*a/b^3 + 3/4*(b*x + a)^(4/3)*a^2/b^3","A",0
373,1,26,0,1.292656," ","integrate(x*(b*x+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{7}{3}}}{7 \, b^{2}} - \frac{3 \, {\left(b x + a\right)}^{\frac{4}{3}} a}{4 \, b^{2}}"," ",0,"3/7*(b*x + a)^(7/3)/b^2 - 3/4*(b*x + a)^(4/3)*a/b^2","A",0
374,1,12,0,1.256902," ","integrate((b*x+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{4}{3}}}{4 \, b}"," ",0,"3/4*(b*x + a)^(4/3)/b","A",0
375,1,86,0,3.078164," ","integrate((b*x+a)^(1/3)/x,x, algorithm=""maxima"")","-\sqrt{3} a^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right) - \frac{1}{2} \, a^{\frac{1}{3}} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + a^{\frac{1}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + 3 \, {\left(b x + a\right)}^{\frac{1}{3}}"," ",0,"-sqrt(3)*a^(1/3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3)) - 1/2*a^(1/3)*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + a^(1/3)*log((b*x + a)^(1/3) - a^(1/3)) + 3*(b*x + a)^(1/3)","A",0
376,1,93,0,2.959152," ","integrate((b*x+a)^(1/3)/x^2,x, algorithm=""maxima"")","-\frac{\sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{2}{3}}} - \frac{b \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{6 \, a^{\frac{2}{3}}} + \frac{b \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{3 \, a^{\frac{2}{3}}} - \frac{{\left(b x + a\right)}^{\frac{1}{3}}}{x}"," ",0,"-1/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) - 1/6*b*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) + 1/3*b*log((b*x + a)^(1/3) - a^(1/3))/a^(2/3) - (b*x + a)^(1/3)/x","A",0
377,1,139,0,2.986311," ","integrate((b*x+a)^(1/3)/x^3,x, algorithm=""maxima"")","\frac{\sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{5}{3}}} + \frac{b^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{18 \, a^{\frac{5}{3}}} - \frac{b^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{5}{3}}} - \frac{{\left(b x + a\right)}^{\frac{4}{3}} b^{2} + 2 \, {\left(b x + a\right)}^{\frac{1}{3}} a b^{2}}{6 \, {\left({\left(b x + a\right)}^{2} a - 2 \, {\left(b x + a\right)} a^{2} + a^{3}\right)}}"," ",0,"1/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(5/3) + 1/18*b^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(5/3) - 1/9*b^2*log((b*x + a)^(1/3) - a^(1/3))/a^(5/3) - 1/6*((b*x + a)^(4/3)*b^2 + 2*(b*x + a)^(1/3)*a*b^2)/((b*x + a)^2*a - 2*(b*x + a)*a^2 + a^3)","A",0
378,1,56,0,1.363852," ","integrate(x^3*(b*x+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{14}{3}}}{14 \, b^{4}} - \frac{9 \, {\left(b x + a\right)}^{\frac{11}{3}} a}{11 \, b^{4}} + \frac{9 \, {\left(b x + a\right)}^{\frac{8}{3}} a^{2}}{8 \, b^{4}} - \frac{3 \, {\left(b x + a\right)}^{\frac{5}{3}} a^{3}}{5 \, b^{4}}"," ",0,"3/14*(b*x + a)^(14/3)/b^4 - 9/11*(b*x + a)^(11/3)*a/b^4 + 9/8*(b*x + a)^(8/3)*a^2/b^4 - 3/5*(b*x + a)^(5/3)*a^3/b^4","A",0
379,1,41,0,1.349083," ","integrate(x^2*(b*x+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{11}{3}}}{11 \, b^{3}} - \frac{3 \, {\left(b x + a\right)}^{\frac{8}{3}} a}{4 \, b^{3}} + \frac{3 \, {\left(b x + a\right)}^{\frac{5}{3}} a^{2}}{5 \, b^{3}}"," ",0,"3/11*(b*x + a)^(11/3)/b^3 - 3/4*(b*x + a)^(8/3)*a/b^3 + 3/5*(b*x + a)^(5/3)*a^2/b^3","A",0
380,1,26,0,1.349734," ","integrate(x*(b*x+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{8}{3}}}{8 \, b^{2}} - \frac{3 \, {\left(b x + a\right)}^{\frac{5}{3}} a}{5 \, b^{2}}"," ",0,"3/8*(b*x + a)^(8/3)/b^2 - 3/5*(b*x + a)^(5/3)*a/b^2","A",0
381,1,12,0,1.285728," ","integrate((b*x+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{5}{3}}}{5 \, b}"," ",0,"3/5*(b*x + a)^(5/3)/b","A",0
382,1,85,0,2.971440," ","integrate((b*x+a)^(2/3)/x,x, algorithm=""maxima"")","\sqrt{3} a^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right) - \frac{1}{2} \, a^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + a^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + \frac{3}{2} \, {\left(b x + a\right)}^{\frac{2}{3}}"," ",0,"sqrt(3)*a^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3)) - 1/2*a^(2/3)*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + a^(2/3)*log((b*x + a)^(1/3) - a^(1/3)) + 3/2*(b*x + a)^(2/3)","A",0
383,1,93,0,2.982493," ","integrate((b*x+a)^(2/3)/x^2,x, algorithm=""maxima"")","\frac{2 \, \sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{1}{3}}} - \frac{b \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{3 \, a^{\frac{1}{3}}} + \frac{2 \, b \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{3 \, a^{\frac{1}{3}}} - \frac{{\left(b x + a\right)}^{\frac{2}{3}}}{x}"," ",0,"2/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - 1/3*b*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(1/3) + 2/3*b*log((b*x + a)^(1/3) - a^(1/3))/a^(1/3) - (b*x + a)^(2/3)/x","A",0
384,1,139,0,2.983442," ","integrate((b*x+a)^(2/3)/x^3,x, algorithm=""maxima"")","-\frac{\sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{4}{3}}} + \frac{b^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{18 \, a^{\frac{4}{3}}} - \frac{b^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{4}{3}}} - \frac{2 \, {\left(b x + a\right)}^{\frac{5}{3}} b^{2} + {\left(b x + a\right)}^{\frac{2}{3}} a b^{2}}{6 \, {\left({\left(b x + a\right)}^{2} a - 2 \, {\left(b x + a\right)} a^{2} + a^{3}\right)}}"," ",0,"-1/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(4/3) + 1/18*b^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) - 1/9*b^2*log((b*x + a)^(1/3) - a^(1/3))/a^(4/3) - 1/6*(2*(b*x + a)^(5/3)*b^2 + (b*x + a)^(2/3)*a*b^2)/((b*x + a)^2*a - 2*(b*x + a)*a^2 + a^3)","A",0
385,1,56,0,1.356992," ","integrate(x^3*(b*x+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{16}{3}}}{16 \, b^{4}} - \frac{9 \, {\left(b x + a\right)}^{\frac{13}{3}} a}{13 \, b^{4}} + \frac{9 \, {\left(b x + a\right)}^{\frac{10}{3}} a^{2}}{10 \, b^{4}} - \frac{3 \, {\left(b x + a\right)}^{\frac{7}{3}} a^{3}}{7 \, b^{4}}"," ",0,"3/16*(b*x + a)^(16/3)/b^4 - 9/13*(b*x + a)^(13/3)*a/b^4 + 9/10*(b*x + a)^(10/3)*a^2/b^4 - 3/7*(b*x + a)^(7/3)*a^3/b^4","A",0
386,1,41,0,1.302556," ","integrate(x^2*(b*x+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{13}{3}}}{13 \, b^{3}} - \frac{3 \, {\left(b x + a\right)}^{\frac{10}{3}} a}{5 \, b^{3}} + \frac{3 \, {\left(b x + a\right)}^{\frac{7}{3}} a^{2}}{7 \, b^{3}}"," ",0,"3/13*(b*x + a)^(13/3)/b^3 - 3/5*(b*x + a)^(10/3)*a/b^3 + 3/7*(b*x + a)^(7/3)*a^2/b^3","A",0
387,1,26,0,1.285743," ","integrate(x*(b*x+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{10}{3}}}{10 \, b^{2}} - \frac{3 \, {\left(b x + a\right)}^{\frac{7}{3}} a}{7 \, b^{2}}"," ",0,"3/10*(b*x + a)^(10/3)/b^2 - 3/7*(b*x + a)^(7/3)*a/b^2","A",0
388,1,12,0,1.330230," ","integrate((b*x+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{7}{3}}}{7 \, b}"," ",0,"3/7*(b*x + a)^(7/3)/b","A",0
389,1,96,0,3.026081," ","integrate((b*x+a)^(4/3)/x,x, algorithm=""maxima"")","-\sqrt{3} a^{\frac{4}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right) - \frac{1}{2} \, a^{\frac{4}{3}} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + a^{\frac{4}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + \frac{3}{4} \, {\left(b x + a\right)}^{\frac{4}{3}} + 3 \, {\left(b x + a\right)}^{\frac{1}{3}} a"," ",0,"-sqrt(3)*a^(4/3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3)) - 1/2*a^(4/3)*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + a^(4/3)*log((b*x + a)^(1/3) - a^(1/3)) + 3/4*(b*x + a)^(4/3) + 3*(b*x + a)^(1/3)*a","A",0
390,1,104,0,3.027508," ","integrate((b*x+a)^(4/3)/x^2,x, algorithm=""maxima"")","-\frac{4}{3} \, \sqrt{3} a^{\frac{1}{3}} b \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right) - \frac{2}{3} \, a^{\frac{1}{3}} b \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + \frac{4}{3} \, a^{\frac{1}{3}} b \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + 3 \, {\left(b x + a\right)}^{\frac{1}{3}} b - \frac{{\left(b x + a\right)}^{\frac{1}{3}} a}{x}"," ",0,"-4/3*sqrt(3)*a^(1/3)*b*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3)) - 2/3*a^(1/3)*b*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + 4/3*a^(1/3)*b*log((b*x + a)^(1/3) - a^(1/3)) + 3*(b*x + a)^(1/3)*b - (b*x + a)^(1/3)*a/x","A",0
391,1,136,0,3.055367," ","integrate((b*x+a)^(4/3)/x^3,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{2}{3}}} - \frac{b^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{9 \, a^{\frac{2}{3}}} + \frac{2 \, b^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{2}{3}}} - \frac{7 \, {\left(b x + a\right)}^{\frac{4}{3}} b^{2} - 4 \, {\left(b x + a\right)}^{\frac{1}{3}} a b^{2}}{6 \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a + a^{2}\right)}}"," ",0,"-2/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) - 1/9*b^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) + 2/9*b^2*log((b*x + a)^(1/3) - a^(1/3))/a^(2/3) - 1/6*(7*(b*x + a)^(4/3)*b^2 - 4*(b*x + a)^(1/3)*a*b^2)/((b*x + a)^2 - 2*(b*x + a)*a + a^2)","A",0
392,1,56,0,1.314971," ","integrate(x^3/(b*x+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{11}{3}}}{11 \, b^{4}} - \frac{9 \, {\left(b x + a\right)}^{\frac{8}{3}} a}{8 \, b^{4}} + \frac{9 \, {\left(b x + a\right)}^{\frac{5}{3}} a^{2}}{5 \, b^{4}} - \frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{3}}{2 \, b^{4}}"," ",0,"3/11*(b*x + a)^(11/3)/b^4 - 9/8*(b*x + a)^(8/3)*a/b^4 + 9/5*(b*x + a)^(5/3)*a^2/b^4 - 3/2*(b*x + a)^(2/3)*a^3/b^4","A",0
393,1,41,0,1.376255," ","integrate(x^2/(b*x+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{8}{3}}}{8 \, b^{3}} - \frac{6 \, {\left(b x + a\right)}^{\frac{5}{3}} a}{5 \, b^{3}} + \frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{2}}{2 \, b^{3}}"," ",0,"3/8*(b*x + a)^(8/3)/b^3 - 6/5*(b*x + a)^(5/3)*a/b^3 + 3/2*(b*x + a)^(2/3)*a^2/b^3","A",0
394,1,26,0,1.296971," ","integrate(x/(b*x+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{5}{3}}}{5 \, b^{2}} - \frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}} a}{2 \, b^{2}}"," ",0,"3/5*(b*x + a)^(5/3)/b^2 - 3/2*(b*x + a)^(2/3)*a/b^2","A",0
395,1,12,0,1.317057," ","integrate(1/(b*x+a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}}}{2 \, b}"," ",0,"3/2*(b*x + a)^(2/3)/b","A",0
396,1,76,0,2.932329," ","integrate(1/x/(b*x+a)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{1}{3}}} - \frac{\log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{2 \, a^{\frac{1}{3}}} + \frac{\log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{a^{\frac{1}{3}}}"," ",0,"sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - 1/2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(1/3) + log((b*x + a)^(1/3) - a^(1/3))/a^(1/3)","A",0
397,1,106,0,2.995227," ","integrate(1/x^2/(b*x+a)^(1/3),x, algorithm=""maxima"")","-\frac{\sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{4}{3}}} - \frac{{\left(b x + a\right)}^{\frac{2}{3}} b}{{\left(b x + a\right)} a - a^{2}} + \frac{b \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{6 \, a^{\frac{4}{3}}} - \frac{b \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{3 \, a^{\frac{4}{3}}}"," ",0,"-1/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(4/3) - (b*x + a)^(2/3)*b/((b*x + a)*a - a^2) + 1/6*b*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) - 1/3*b*log((b*x + a)^(1/3) - a^(1/3))/a^(4/3)","A",0
398,1,142,0,3.028064," ","integrate(1/x^3/(b*x+a)^(1/3),x, algorithm=""maxima"")","\frac{2 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{7}{3}}} - \frac{b^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{9 \, a^{\frac{7}{3}}} + \frac{2 \, b^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{7}{3}}} + \frac{4 \, {\left(b x + a\right)}^{\frac{5}{3}} b^{2} - 7 \, {\left(b x + a\right)}^{\frac{2}{3}} a b^{2}}{6 \, {\left({\left(b x + a\right)}^{2} a^{2} - 2 \, {\left(b x + a\right)} a^{3} + a^{4}\right)}}"," ",0,"2/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(7/3) - 1/9*b^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(7/3) + 2/9*b^2*log((b*x + a)^(1/3) - a^(1/3))/a^(7/3) + 1/6*(4*(b*x + a)^(5/3)*b^2 - 7*(b*x + a)^(2/3)*a*b^2)/((b*x + a)^2*a^2 - 2*(b*x + a)*a^3 + a^4)","A",0
399,1,64,0,1.339160," ","integrate(x^3/(b*x-a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x - a\right)}^{\frac{11}{3}}}{11 \, b^{4}} + \frac{9 \, {\left(b x - a\right)}^{\frac{8}{3}} a}{8 \, b^{4}} + \frac{9 \, {\left(b x - a\right)}^{\frac{5}{3}} a^{2}}{5 \, b^{4}} + \frac{3 \, {\left(b x - a\right)}^{\frac{2}{3}} a^{3}}{2 \, b^{4}}"," ",0,"3/11*(b*x - a)^(11/3)/b^4 + 9/8*(b*x - a)^(8/3)*a/b^4 + 9/5*(b*x - a)^(5/3)*a^2/b^4 + 3/2*(b*x - a)^(2/3)*a^3/b^4","A",0
400,1,47,0,1.329889," ","integrate(x^2/(b*x-a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x - a\right)}^{\frac{8}{3}}}{8 \, b^{3}} + \frac{6 \, {\left(b x - a\right)}^{\frac{5}{3}} a}{5 \, b^{3}} + \frac{3 \, {\left(b x - a\right)}^{\frac{2}{3}} a^{2}}{2 \, b^{3}}"," ",0,"3/8*(b*x - a)^(8/3)/b^3 + 6/5*(b*x - a)^(5/3)*a/b^3 + 3/2*(b*x - a)^(2/3)*a^2/b^3","A",0
401,1,30,0,1.340163," ","integrate(x/(b*x-a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x - a\right)}^{\frac{5}{3}}}{5 \, b^{2}} + \frac{3 \, {\left(b x - a\right)}^{\frac{2}{3}} a}{2 \, b^{2}}"," ",0,"3/5*(b*x - a)^(5/3)/b^2 + 3/2*(b*x - a)^(2/3)*a/b^2","A",0
402,1,14,0,1.316730," ","integrate(1/(b*x-a)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x - a\right)}^{\frac{2}{3}}}{2 \, b}"," ",0,"3/2*(b*x - a)^(2/3)/b","A",0
403,1,86,0,3.007266," ","integrate(1/x/(b*x-a)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x - a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{1}{3}}} + \frac{\log\left({\left(b x - a\right)}^{\frac{2}{3}} - {\left(b x - a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{2 \, a^{\frac{1}{3}}} - \frac{\log\left({\left(b x - a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}{a^{\frac{1}{3}}}"," ",0,"sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x - a)^(1/3) - a^(1/3))/a^(1/3))/a^(1/3) + 1/2*log((b*x - a)^(2/3) - (b*x - a)^(1/3)*a^(1/3) + a^(2/3))/a^(1/3) - log((b*x - a)^(1/3) + a^(1/3))/a^(1/3)","A",0
404,1,116,0,2.989008," ","integrate(1/x^2/(b*x-a)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x - a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{4}{3}}} + \frac{{\left(b x - a\right)}^{\frac{2}{3}} b}{{\left(b x - a\right)} a + a^{2}} + \frac{b \log\left({\left(b x - a\right)}^{\frac{2}{3}} - {\left(b x - a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{6 \, a^{\frac{4}{3}}} - \frac{b \log\left({\left(b x - a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}{3 \, a^{\frac{4}{3}}}"," ",0,"1/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x - a)^(1/3) - a^(1/3))/a^(1/3))/a^(4/3) + (b*x - a)^(2/3)*b/((b*x - a)*a + a^2) + 1/6*b*log((b*x - a)^(2/3) - (b*x - a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) - 1/3*b*log((b*x - a)^(1/3) + a^(1/3))/a^(4/3)","A",0
405,1,159,0,3.093273," ","integrate(1/x^3/(b*x-a)^(1/3),x, algorithm=""maxima"")","\frac{2 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x - a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{7}{3}}} + \frac{b^{2} \log\left({\left(b x - a\right)}^{\frac{2}{3}} - {\left(b x - a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{9 \, a^{\frac{7}{3}}} - \frac{2 \, b^{2} \log\left({\left(b x - a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}{9 \, a^{\frac{7}{3}}} + \frac{4 \, {\left(b x - a\right)}^{\frac{5}{3}} b^{2} + 7 \, {\left(b x - a\right)}^{\frac{2}{3}} a b^{2}}{6 \, {\left({\left(b x - a\right)}^{2} a^{2} + 2 \, {\left(b x - a\right)} a^{3} + a^{4}\right)}}"," ",0,"2/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x - a)^(1/3) - a^(1/3))/a^(1/3))/a^(7/3) + 1/9*b^2*log((b*x - a)^(2/3) - (b*x - a)^(1/3)*a^(1/3) + a^(2/3))/a^(7/3) - 2/9*b^2*log((b*x - a)^(1/3) + a^(1/3))/a^(7/3) + 1/6*(4*(b*x - a)^(5/3)*b^2 + 7*(b*x - a)^(2/3)*a*b^2)/((b*x - a)^2*a^2 + 2*(b*x - a)*a^3 + a^4)","A",0
406,1,56,0,1.344943," ","integrate(x^3/(b*x+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{10}{3}}}{10 \, b^{4}} - \frac{9 \, {\left(b x + a\right)}^{\frac{7}{3}} a}{7 \, b^{4}} + \frac{9 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{2}}{4 \, b^{4}} - \frac{3 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{3}}{b^{4}}"," ",0,"3/10*(b*x + a)^(10/3)/b^4 - 9/7*(b*x + a)^(7/3)*a/b^4 + 9/4*(b*x + a)^(4/3)*a^2/b^4 - 3*(b*x + a)^(1/3)*a^3/b^4","A",0
407,1,41,0,1.314324," ","integrate(x^2/(b*x+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{7}{3}}}{7 \, b^{3}} - \frac{3 \, {\left(b x + a\right)}^{\frac{4}{3}} a}{2 \, b^{3}} + \frac{3 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{2}}{b^{3}}"," ",0,"3/7*(b*x + a)^(7/3)/b^3 - 3/2*(b*x + a)^(4/3)*a/b^3 + 3*(b*x + a)^(1/3)*a^2/b^3","A",0
408,1,26,0,1.335207," ","integrate(x/(b*x+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{4}{3}}}{4 \, b^{2}} - \frac{3 \, {\left(b x + a\right)}^{\frac{1}{3}} a}{b^{2}}"," ",0,"3/4*(b*x + a)^(4/3)/b^2 - 3*(b*x + a)^(1/3)*a/b^2","A",0
409,1,12,0,1.295133," ","integrate(1/(b*x+a)^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{1}{3}}}{b}"," ",0,"3*(b*x + a)^(1/3)/b","A",0
410,1,77,0,2.874211," ","integrate(1/x/(b*x+a)^(2/3),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{2}{3}}} - \frac{\log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{2 \, a^{\frac{2}{3}}} + \frac{\log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{a^{\frac{2}{3}}}"," ",0,"-sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) - 1/2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) + log((b*x + a)^(1/3) - a^(1/3))/a^(2/3)","A",0
411,1,106,0,2.951244," ","integrate(1/x^2/(b*x+a)^(2/3),x, algorithm=""maxima"")","\frac{2 \, \sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{5}{3}}} - \frac{{\left(b x + a\right)}^{\frac{1}{3}} b}{{\left(b x + a\right)} a - a^{2}} + \frac{b \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{3 \, a^{\frac{5}{3}}} - \frac{2 \, b \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{3 \, a^{\frac{5}{3}}}"," ",0,"2/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(5/3) - (b*x + a)^(1/3)*b/((b*x + a)*a - a^2) + 1/3*b*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(5/3) - 2/3*b*log((b*x + a)^(1/3) - a^(1/3))/a^(5/3)","A",0
412,1,142,0,3.043273," ","integrate(1/x^3/(b*x+a)^(2/3),x, algorithm=""maxima"")","-\frac{5 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{8}{3}}} - \frac{5 \, b^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{18 \, a^{\frac{8}{3}}} + \frac{5 \, b^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{8}{3}}} + \frac{5 \, {\left(b x + a\right)}^{\frac{4}{3}} b^{2} - 8 \, {\left(b x + a\right)}^{\frac{1}{3}} a b^{2}}{6 \, {\left({\left(b x + a\right)}^{2} a^{2} - 2 \, {\left(b x + a\right)} a^{3} + a^{4}\right)}}"," ",0,"-5/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(8/3) - 5/18*b^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(8/3) + 5/9*b^2*log((b*x + a)^(1/3) - a^(1/3))/a^(8/3) + 1/6*(5*(b*x + a)^(4/3)*b^2 - 8*(b*x + a)^(1/3)*a*b^2)/((b*x + a)^2*a^2 - 2*(b*x + a)*a^3 + a^4)","A",0
413,1,56,0,1.358247," ","integrate(x^3/(b*x+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{8}{3}}}{8 \, b^{4}} - \frac{9 \, {\left(b x + a\right)}^{\frac{5}{3}} a}{5 \, b^{4}} + \frac{9 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{2}}{2 \, b^{4}} + \frac{3 \, a^{3}}{{\left(b x + a\right)}^{\frac{1}{3}} b^{4}}"," ",0,"3/8*(b*x + a)^(8/3)/b^4 - 9/5*(b*x + a)^(5/3)*a/b^4 + 9/2*(b*x + a)^(2/3)*a^2/b^4 + 3*a^3/((b*x + a)^(1/3)*b^4)","A",0
414,1,41,0,1.327491," ","integrate(x^2/(b*x+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{5}{3}}}{5 \, b^{3}} - \frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}} a}{b^{3}} - \frac{3 \, a^{2}}{{\left(b x + a\right)}^{\frac{1}{3}} b^{3}}"," ",0,"3/5*(b*x + a)^(5/3)/b^3 - 3*(b*x + a)^(2/3)*a/b^3 - 3*a^2/((b*x + a)^(1/3)*b^3)","A",0
415,1,26,0,1.303020," ","integrate(x/(b*x+a)^(4/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}}}{2 \, b^{2}} + \frac{3 \, a}{{\left(b x + a\right)}^{\frac{1}{3}} b^{2}}"," ",0,"3/2*(b*x + a)^(2/3)/b^2 + 3*a/((b*x + a)^(1/3)*b^2)","A",0
416,1,12,0,1.352877," ","integrate(1/(b*x+a)^(4/3),x, algorithm=""maxima"")","-\frac{3}{{\left(b x + a\right)}^{\frac{1}{3}} b}"," ",0,"-3/((b*x + a)^(1/3)*b)","A",0
417,1,88,0,3.031852," ","integrate(1/x/(b*x+a)^(4/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{4}{3}}} - \frac{\log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{2 \, a^{\frac{4}{3}}} + \frac{\log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{a^{\frac{4}{3}}} + \frac{3}{{\left(b x + a\right)}^{\frac{1}{3}} a}"," ",0,"sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(4/3) - 1/2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) + log((b*x + a)^(1/3) - a^(1/3))/a^(4/3) + 3/((b*x + a)^(1/3)*a)","A",0
418,1,122,0,2.992678," ","integrate(1/x^2/(b*x+a)^(4/3),x, algorithm=""maxima"")","-\frac{4 \, \sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{7}{3}}} - \frac{4 \, {\left(b x + a\right)} b - 3 \, a b}{{\left(b x + a\right)}^{\frac{4}{3}} a^{2} - {\left(b x + a\right)}^{\frac{1}{3}} a^{3}} + \frac{2 \, b \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{3 \, a^{\frac{7}{3}}} - \frac{4 \, b \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{3 \, a^{\frac{7}{3}}}"," ",0,"-4/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(7/3) - (4*(b*x + a)*b - 3*a*b)/((b*x + a)^(4/3)*a^2 - (b*x + a)^(1/3)*a^3) + 2/3*b*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(7/3) - 4/3*b*log((b*x + a)^(1/3) - a^(1/3))/a^(7/3)","A",0
419,1,158,0,2.959798," ","integrate(1/x^3/(b*x+a)^(4/3),x, algorithm=""maxima"")","\frac{14 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{10}{3}}} + \frac{28 \, {\left(b x + a\right)}^{2} b^{2} - 49 \, {\left(b x + a\right)} a b^{2} + 18 \, a^{2} b^{2}}{6 \, {\left({\left(b x + a\right)}^{\frac{7}{3}} a^{3} - 2 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{4} + {\left(b x + a\right)}^{\frac{1}{3}} a^{5}\right)}} - \frac{7 \, b^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{9 \, a^{\frac{10}{3}}} + \frac{14 \, b^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{10}{3}}}"," ",0,"14/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(10/3) + 1/6*(28*(b*x + a)^2*b^2 - 49*(b*x + a)*a*b^2 + 18*a^2*b^2)/((b*x + a)^(7/3)*a^3 - 2*(b*x + a)^(4/3)*a^4 + (b*x + a)^(1/3)*a^5) - 7/9*b^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(10/3) + 14/9*b^2*log((b*x + a)^(1/3) - a^(1/3))/a^(10/3)","A",0
420,1,86,0,3.088939," ","integrate(1/x/(b^3*x+a^3)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a + 2 \, {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a} - \frac{\log\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} + \frac{\log\left(-a + {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}{a}"," ",0,"sqrt(3)*arctan(1/3*sqrt(3)*(a + 2*(b^3*x + a^3)^(1/3))/a)/a - 1/2*log(a^2 + (b^3*x + a^3)^(1/3)*a + (b^3*x + a^3)^(2/3))/a + log(-a + (b^3*x + a^3)^(1/3))/a","A",0
421,1,90,0,2.994618," ","integrate(1/x/(-b^3*x+a^3)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a + 2 \, {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a} - \frac{\log\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} + \frac{\log\left(-a + {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}{a}"," ",0,"sqrt(3)*arctan(1/3*sqrt(3)*(a + 2*(-b^3*x + a^3)^(1/3))/a)/a - 1/2*log(a^2 + (-b^3*x + a^3)^(1/3)*a + (-b^3*x + a^3)^(2/3))/a + log(-a + (-b^3*x + a^3)^(1/3))/a","A",0
422,1,94,0,2.903185," ","integrate(1/x/(b^3*x-a^3)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a} + \frac{\log\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} - \frac{\log\left(a + {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}{a}"," ",0,"sqrt(3)*arctan(-1/3*sqrt(3)*(a - 2*(b^3*x - a^3)^(1/3))/a)/a + 1/2*log(a^2 - (b^3*x - a^3)^(1/3)*a + (b^3*x - a^3)^(2/3))/a - log(a + (b^3*x - a^3)^(1/3))/a","A",0
423,1,98,0,2.921934," ","integrate(1/x/(-b^3*x-a^3)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a} + \frac{\log\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} - \frac{\log\left(a + {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}{a}"," ",0,"sqrt(3)*arctan(-1/3*sqrt(3)*(a - 2*(-b^3*x - a^3)^(1/3))/a)/a + 1/2*log(a^2 - (-b^3*x - a^3)^(1/3)*a + (-b^3*x - a^3)^(2/3))/a - log(a + (-b^3*x - a^3)^(1/3))/a","A",0
424,1,87,0,2.877059," ","integrate(1/x/(b^3*x+a^3)^(2/3),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a + 2 \, {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a^{2}} - \frac{\log\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}} + \frac{\log\left(-a + {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}{a^{2}}"," ",0,"-sqrt(3)*arctan(1/3*sqrt(3)*(a + 2*(b^3*x + a^3)^(1/3))/a)/a^2 - 1/2*log(a^2 + (b^3*x + a^3)^(1/3)*a + (b^3*x + a^3)^(2/3))/a^2 + log(-a + (b^3*x + a^3)^(1/3))/a^2","A",0
425,1,91,0,2.977796," ","integrate(1/x/(-b^3*x+a^3)^(2/3),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a + 2 \, {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a^{2}} - \frac{\log\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}} + \frac{\log\left(-a + {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}{a^{2}}"," ",0,"-sqrt(3)*arctan(1/3*sqrt(3)*(a + 2*(-b^3*x + a^3)^(1/3))/a)/a^2 - 1/2*log(a^2 + (-b^3*x + a^3)^(1/3)*a + (-b^3*x + a^3)^(2/3))/a^2 + log(-a + (-b^3*x + a^3)^(1/3))/a^2","A",0
426,1,93,0,2.950874," ","integrate(1/x/(b^3*x-a^3)^(2/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a^{2}} - \frac{\log\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}} + \frac{\log\left(a + {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}{a^{2}}"," ",0,"sqrt(3)*arctan(-1/3*sqrt(3)*(a - 2*(b^3*x - a^3)^(1/3))/a)/a^2 - 1/2*log(a^2 - (b^3*x - a^3)^(1/3)*a + (b^3*x - a^3)^(2/3))/a^2 + log(a + (b^3*x - a^3)^(1/3))/a^2","A",0
427,1,97,0,2.889251," ","integrate(1/x/(-b^3*x-a^3)^(2/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a^{2}} - \frac{\log\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}} + \frac{\log\left(a + {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}{a^{2}}"," ",0,"sqrt(3)*arctan(-1/3*sqrt(3)*(a - 2*(-b^3*x - a^3)^(1/3))/a)/a^2 - 1/2*log(a^2 - (-b^3*x - a^3)^(1/3)*a + (-b^3*x - a^3)^(2/3))/a^2 + log(a + (-b^3*x - a^3)^(1/3))/a^2","A",0
428,1,25,0,1.339436," ","integrate(x^m*(b*x+a),x, algorithm=""maxima"")","\frac{b x^{m + 2}}{m + 2} + \frac{a x^{m + 1}}{m + 1}"," ",0,"b*x^(m + 2)/(m + 2) + a*x^(m + 1)/(m + 1)","A",0
429,1,13,0,1.334301," ","integrate(x^(5/2)*(b*x+a),x, algorithm=""maxima"")","\frac{2}{9} \, b x^{\frac{9}{2}} + \frac{2}{7} \, a x^{\frac{7}{2}}"," ",0,"2/9*b*x^(9/2) + 2/7*a*x^(7/2)","A",0
430,1,13,0,1.293258," ","integrate(x^(3/2)*(b*x+a),x, algorithm=""maxima"")","\frac{2}{7} \, b x^{\frac{7}{2}} + \frac{2}{5} \, a x^{\frac{5}{2}}"," ",0,"2/7*b*x^(7/2) + 2/5*a*x^(5/2)","A",0
431,1,13,0,1.338365," ","integrate((b*x+a)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{5} \, b x^{\frac{5}{2}} + \frac{2}{3} \, a x^{\frac{3}{2}}"," ",0,"2/5*b*x^(5/2) + 2/3*a*x^(3/2)","A",0
432,1,13,0,1.315713," ","integrate((b*x+a)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, b x^{\frac{3}{2}} + 2 \, a \sqrt{x}"," ",0,"2/3*b*x^(3/2) + 2*a*sqrt(x)","A",0
433,1,13,0,1.328228," ","integrate((b*x+a)/x^(3/2),x, algorithm=""maxima"")","2 \, b \sqrt{x} - \frac{2 \, a}{\sqrt{x}}"," ",0,"2*b*sqrt(x) - 2*a/sqrt(x)","A",0
434,1,11,0,1.361609," ","integrate((b*x+a)/x^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, b x + a\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"-2/3*(3*b*x + a)/x^(3/2)","A",0
435,1,43,0,1.356848," ","integrate(x^m*(b*x+a)^2,x, algorithm=""maxima"")","\frac{b^{2} x^{m + 3}}{m + 3} + \frac{2 \, a b x^{m + 2}}{m + 2} + \frac{a^{2} x^{m + 1}}{m + 1}"," ",0,"b^2*x^(m + 3)/(m + 3) + 2*a*b*x^(m + 2)/(m + 2) + a^2*x^(m + 1)/(m + 1)","A",0
436,1,24,0,1.272460," ","integrate(x^(5/2)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{2}{11} \, b^{2} x^{\frac{11}{2}} + \frac{4}{9} \, a b x^{\frac{9}{2}} + \frac{2}{7} \, a^{2} x^{\frac{7}{2}}"," ",0,"2/11*b^2*x^(11/2) + 4/9*a*b*x^(9/2) + 2/7*a^2*x^(7/2)","A",0
437,1,24,0,1.318250," ","integrate(x^(3/2)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{2}{9} \, b^{2} x^{\frac{9}{2}} + \frac{4}{7} \, a b x^{\frac{7}{2}} + \frac{2}{5} \, a^{2} x^{\frac{5}{2}}"," ",0,"2/9*b^2*x^(9/2) + 4/7*a*b*x^(7/2) + 2/5*a^2*x^(5/2)","A",0
438,1,24,0,1.293871," ","integrate((b*x+a)^2*x^(1/2),x, algorithm=""maxima"")","\frac{2}{7} \, b^{2} x^{\frac{7}{2}} + \frac{4}{5} \, a b x^{\frac{5}{2}} + \frac{2}{3} \, a^{2} x^{\frac{3}{2}}"," ",0,"2/7*b^2*x^(7/2) + 4/5*a*b*x^(5/2) + 2/3*a^2*x^(3/2)","A",0
439,1,24,0,1.381312," ","integrate((b*x+a)^2/x^(1/2),x, algorithm=""maxima"")","\frac{2}{5} \, b^{2} x^{\frac{5}{2}} + \frac{4}{3} \, a b x^{\frac{3}{2}} + 2 \, a^{2} \sqrt{x}"," ",0,"2/5*b^2*x^(5/2) + 4/3*a*b*x^(3/2) + 2*a^2*sqrt(x)","A",0
440,1,24,0,1.318045," ","integrate((b*x+a)^2/x^(3/2),x, algorithm=""maxima"")","\frac{2}{3} \, b^{2} x^{\frac{3}{2}} + 4 \, a b \sqrt{x} - \frac{2 \, a^{2}}{\sqrt{x}}"," ",0,"2/3*b^2*x^(3/2) + 4*a*b*sqrt(x) - 2*a^2/sqrt(x)","A",0
441,1,23,0,1.288657," ","integrate((b*x+a)^2/x^(5/2),x, algorithm=""maxima"")","2 \, b^{2} \sqrt{x} - \frac{2 \, {\left(6 \, a b x + a^{2}\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2*b^2*sqrt(x) - 2/3*(6*a*b*x + a^2)/x^(3/2)","A",0
442,1,61,0,1.358172," ","integrate(x^m*(b*x+a)^3,x, algorithm=""maxima"")","\frac{b^{3} x^{m + 4}}{m + 4} + \frac{3 \, a b^{2} x^{m + 3}}{m + 3} + \frac{3 \, a^{2} b x^{m + 2}}{m + 2} + \frac{a^{3} x^{m + 1}}{m + 1}"," ",0,"b^3*x^(m + 4)/(m + 4) + 3*a*b^2*x^(m + 3)/(m + 3) + 3*a^2*b*x^(m + 2)/(m + 2) + a^3*x^(m + 1)/(m + 1)","A",0
443,1,35,0,1.343258," ","integrate(x^(5/2)*(b*x+a)^3,x, algorithm=""maxima"")","\frac{2}{13} \, b^{3} x^{\frac{13}{2}} + \frac{6}{11} \, a b^{2} x^{\frac{11}{2}} + \frac{2}{3} \, a^{2} b x^{\frac{9}{2}} + \frac{2}{7} \, a^{3} x^{\frac{7}{2}}"," ",0,"2/13*b^3*x^(13/2) + 6/11*a*b^2*x^(11/2) + 2/3*a^2*b*x^(9/2) + 2/7*a^3*x^(7/2)","A",0
444,1,35,0,1.339130," ","integrate(x^(3/2)*(b*x+a)^3,x, algorithm=""maxima"")","\frac{2}{11} \, b^{3} x^{\frac{11}{2}} + \frac{2}{3} \, a b^{2} x^{\frac{9}{2}} + \frac{6}{7} \, a^{2} b x^{\frac{7}{2}} + \frac{2}{5} \, a^{3} x^{\frac{5}{2}}"," ",0,"2/11*b^3*x^(11/2) + 2/3*a*b^2*x^(9/2) + 6/7*a^2*b*x^(7/2) + 2/5*a^3*x^(5/2)","A",0
445,1,35,0,1.256054," ","integrate((b*x+a)^3*x^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, b^{3} x^{\frac{9}{2}} + \frac{6}{7} \, a b^{2} x^{\frac{7}{2}} + \frac{6}{5} \, a^{2} b x^{\frac{5}{2}} + \frac{2}{3} \, a^{3} x^{\frac{3}{2}}"," ",0,"2/9*b^3*x^(9/2) + 6/7*a*b^2*x^(7/2) + 6/5*a^2*b*x^(5/2) + 2/3*a^3*x^(3/2)","A",0
446,1,35,0,1.351725," ","integrate((b*x+a)^3/x^(1/2),x, algorithm=""maxima"")","\frac{2}{7} \, b^{3} x^{\frac{7}{2}} + \frac{6}{5} \, a b^{2} x^{\frac{5}{2}} + 2 \, a^{2} b x^{\frac{3}{2}} + 2 \, a^{3} \sqrt{x}"," ",0,"2/7*b^3*x^(7/2) + 6/5*a*b^2*x^(5/2) + 2*a^2*b*x^(3/2) + 2*a^3*sqrt(x)","A",0
447,1,35,0,1.355831," ","integrate((b*x+a)^3/x^(3/2),x, algorithm=""maxima"")","\frac{2}{5} \, b^{3} x^{\frac{5}{2}} + 2 \, a b^{2} x^{\frac{3}{2}} + 6 \, a^{2} b \sqrt{x} - \frac{2 \, a^{3}}{\sqrt{x}}"," ",0,"2/5*b^3*x^(5/2) + 2*a*b^2*x^(3/2) + 6*a^2*b*sqrt(x) - 2*a^3/sqrt(x)","A",0
448,1,34,0,1.368222," ","integrate((b*x+a)^3/x^(5/2),x, algorithm=""maxima"")","\frac{2}{3} \, b^{3} x^{\frac{3}{2}} + 6 \, a b^{2} \sqrt{x} - \frac{2 \, {\left(9 \, a^{2} b x + a^{3}\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*b^3*x^(3/2) + 6*a*b^2*sqrt(x) - 2/3*(9*a^2*b*x + a^3)/x^(3/2)","A",0
449,1,54,0,3.009989," ","integrate(x^(5/2)/(b*x+a),x, algorithm=""maxima"")","-\frac{2 \, a^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} + \frac{2 \, {\left(3 \, b^{2} x^{\frac{5}{2}} - 5 \, a b x^{\frac{3}{2}} + 15 \, a^{2} \sqrt{x}\right)}}{15 \, b^{3}}"," ",0,"-2*a^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) + 2/15*(3*b^2*x^(5/2) - 5*a*b*x^(3/2) + 15*a^2*sqrt(x))/b^3","A",0
450,1,42,0,2.941193," ","integrate(x^(3/2)/(b*x+a),x, algorithm=""maxima"")","\frac{2 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{2 \, {\left(b x^{\frac{3}{2}} - 3 \, a \sqrt{x}\right)}}{3 \, b^{2}}"," ",0,"2*a^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2) + 2/3*(b*x^(3/2) - 3*a*sqrt(x))/b^2","A",0
451,1,31,0,2.970594," ","integrate(x^(1/2)/(b*x+a),x, algorithm=""maxima"")","-\frac{2 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b} + \frac{2 \, \sqrt{x}}{b}"," ",0,"-2*a*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b) + 2*sqrt(x)/b","A",0
452,1,18,0,2.925845," ","integrate(1/(b*x+a)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"2*arctan(b*sqrt(x)/sqrt(a*b))/sqrt(a*b)","A",0
453,1,31,0,2.883284," ","integrate(1/x^(3/2)/(b*x+a),x, algorithm=""maxima"")","-\frac{2 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a} - \frac{2}{a \sqrt{x}}"," ",0,"-2*b*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a) - 2/(a*sqrt(x))","A",0
454,1,41,0,3.016791," ","integrate(1/x^(5/2)/(b*x+a),x, algorithm=""maxima"")","\frac{2 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}} + \frac{2 \, {\left(3 \, b x - a\right)}}{3 \, a^{2} x^{\frac{3}{2}}}"," ",0,"2*b^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2) + 2/3*(3*b*x - a)/(a^2*x^(3/2))","A",0
455,1,52,0,2.914559," ","integrate(1/x^(7/2)/(b*x+a),x, algorithm=""maxima"")","-\frac{2 \, b^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}} - \frac{2 \, {\left(15 \, b^{2} x^{2} - 5 \, a b x + 3 \, a^{2}\right)}}{15 \, a^{3} x^{\frac{5}{2}}}"," ",0,"-2*b^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3) - 2/15*(15*b^2*x^2 - 5*a*b*x + 3*a^2)/(a^3*x^(5/2))","A",0
456,1,63,0,2.963730," ","integrate(x^(5/2)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{a^{2} \sqrt{x}}{b^{4} x + a b^{3}} + \frac{5 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} + \frac{2 \, {\left(b x^{\frac{3}{2}} - 6 \, a \sqrt{x}\right)}}{3 \, b^{3}}"," ",0,"-a^2*sqrt(x)/(b^4*x + a*b^3) + 5*a^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) + 2/3*(b*x^(3/2) - 6*a*sqrt(x))/b^3","A",0
457,1,49,0,2.907222," ","integrate(x^(3/2)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{a \sqrt{x}}{b^{3} x + a b^{2}} - \frac{3 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{2 \, \sqrt{x}}{b^{2}}"," ",0,"a*sqrt(x)/(b^3*x + a*b^2) - 3*a*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2) + 2*sqrt(x)/b^2","A",0
458,1,37,0,2.935777," ","integrate(x^(1/2)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{\sqrt{x}}{b^{2} x + a b} + \frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b}"," ",0,"-sqrt(x)/(b^2*x + a*b) + arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b)","A",0
459,1,35,0,2.924501," ","integrate(1/(b*x+a)^2/x^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x}}{a b x + a^{2}} + \frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a}"," ",0,"sqrt(x)/(a*b*x + a^2) + arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a)","A",0
460,1,51,0,2.942923," ","integrate(1/x^(3/2)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{3 \, b x + 2 \, a}{a^{2} b x^{\frac{3}{2}} + a^{3} \sqrt{x}} - \frac{3 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}}"," ",0,"-(3*b*x + 2*a)/(a^2*b*x^(3/2) + a^3*sqrt(x)) - 3*b*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2)","A",0
461,1,64,0,2.881881," ","integrate(1/x^(5/2)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{15 \, b^{2} x^{2} + 10 \, a b x - 2 \, a^{2}}{3 \, {\left(a^{3} b x^{\frac{5}{2}} + a^{4} x^{\frac{3}{2}}\right)}} + \frac{5 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}}"," ",0,"1/3*(15*b^2*x^2 + 10*a*b*x - 2*a^2)/(a^3*b*x^(5/2) + a^4*x^(3/2)) + 5*b^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3)","A",0
462,1,86,0,3.066656," ","integrate(x^(7/2)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{13 \, a^{2} b x^{\frac{3}{2}} + 11 \, a^{3} \sqrt{x}}{4 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}} + \frac{35 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{4}} + \frac{2 \, {\left(b x^{\frac{3}{2}} - 9 \, a \sqrt{x}\right)}}{3 \, b^{4}}"," ",0,"-1/4*(13*a^2*b*x^(3/2) + 11*a^3*sqrt(x))/(b^6*x^2 + 2*a*b^5*x + a^2*b^4) + 35/4*a^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4) + 2/3*(b*x^(3/2) - 9*a*sqrt(x))/b^4","A",0
463,1,73,0,2.941048," ","integrate(x^(5/2)/(b*x+a)^3,x, algorithm=""maxima"")","\frac{9 \, a b x^{\frac{3}{2}} + 7 \, a^{2} \sqrt{x}}{4 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}} - \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,"1/4*(9*a*b*x^(3/2) + 7*a^2*sqrt(x))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3) - 15/4*a*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) + 2*sqrt(x)/b^3","A",0
464,1,61,0,2.959606," ","integrate(x^(3/2)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{5 \, b x^{\frac{3}{2}} + 3 \, a \sqrt{x}}{4 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}} + \frac{3 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{2}}"," ",0,"-1/4*(5*b*x^(3/2) + 3*a*sqrt(x))/(b^4*x^2 + 2*a*b^3*x + a^2*b^2) + 3/4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2)","A",0
465,1,64,0,3.012043," ","integrate(x^(1/2)/(b*x+a)^3,x, algorithm=""maxima"")","\frac{b x^{\frac{3}{2}} - a \sqrt{x}}{4 \, {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)}} + \frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a b}"," ",0,"1/4*(b*x^(3/2) - a*sqrt(x))/(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b) + 1/4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a*b)","A",0
466,1,60,0,2.956147," ","integrate(1/(b*x+a)^3/x^(1/2),x, algorithm=""maxima"")","\frac{3 \, b x^{\frac{3}{2}} + 5 \, a \sqrt{x}}{4 \, {\left(a^{2} b^{2} x^{2} + 2 \, a^{3} b x + a^{4}\right)}} + \frac{3 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{2}}"," ",0,"1/4*(3*b*x^(3/2) + 5*a*sqrt(x))/(a^2*b^2*x^2 + 2*a^3*b*x + a^4) + 3/4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2)","A",0
467,1,73,0,2.992406," ","integrate(1/x^(3/2)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{15 \, b^{2} x^{2} + 25 \, a b x + 8 \, a^{2}}{4 \, {\left(a^{3} b^{2} x^{\frac{5}{2}} + 2 \, a^{4} b x^{\frac{3}{2}} + a^{5} \sqrt{x}\right)}} - \frac{15 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{3}}"," ",0,"-1/4*(15*b^2*x^2 + 25*a*b*x + 8*a^2)/(a^3*b^2*x^(5/2) + 2*a^4*b*x^(3/2) + a^5*sqrt(x)) - 15/4*b*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3)","A",0
468,1,86,0,2.981292," ","integrate(1/x^(5/2)/(b*x+a)^3,x, algorithm=""maxima"")","\frac{105 \, b^{3} x^{3} + 175 \, a b^{2} x^{2} + 56 \, a^{2} b x - 8 \, a^{3}}{12 \, {\left(a^{4} b^{2} x^{\frac{7}{2}} + 2 \, a^{5} b x^{\frac{5}{2}} + a^{6} x^{\frac{3}{2}}\right)}} + \frac{35 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{4}}"," ",0,"1/12*(105*b^3*x^3 + 175*a*b^2*x^2 + 56*a^2*b*x - 8*a^3)/(a^4*b^2*x^(7/2) + 2*a^5*b*x^(5/2) + a^6*x^(3/2)) + 35/4*b^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4)","A",0
469,1,70,0,2.941747," ","integrate(x^(5/2)/(b*x-a),x, algorithm=""maxima"")","\frac{a^{3} \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{\sqrt{a b} b^{3}} + \frac{2 \, {\left(3 \, b^{2} x^{\frac{5}{2}} + 5 \, a b x^{\frac{3}{2}} + 15 \, a^{2} \sqrt{x}\right)}}{15 \, b^{3}}"," ",0,"a^3*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*b^3) + 2/15*(3*b^2*x^(5/2) + 5*a*b*x^(3/2) + 15*a^2*sqrt(x))/b^3","A",0
470,1,58,0,2.919632," ","integrate(x^(3/2)/(b*x-a),x, algorithm=""maxima"")","\frac{a^{2} \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{2 \, {\left(b x^{\frac{3}{2}} + 3 \, a \sqrt{x}\right)}}{3 \, b^{2}}"," ",0,"a^2*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*b^2) + 2/3*(b*x^(3/2) + 3*a*sqrt(x))/b^2","A",0
471,1,47,0,3.075003," ","integrate(x^(1/2)/(b*x-a),x, algorithm=""maxima"")","\frac{a \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{\sqrt{a b} b} + \frac{2 \, \sqrt{x}}{b}"," ",0,"a*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*b) + 2*sqrt(x)/b","A",0
472,1,34,0,3.026304," ","integrate(1/(b*x-a)/x^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/sqrt(a*b)","A",0
473,1,47,0,2.867290," ","integrate(1/x^(3/2)/(b*x-a),x, algorithm=""maxima"")","\frac{b \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{\sqrt{a b} a} + \frac{2}{a \sqrt{x}}"," ",0,"b*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*a) + 2/(a*sqrt(x))","A",0
474,1,55,0,2.960492," ","integrate(1/x^(5/2)/(b*x-a),x, algorithm=""maxima"")","\frac{b^{2} \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{\sqrt{a b} a^{2}} + \frac{2 \, {\left(3 \, b x + a\right)}}{3 \, a^{2} x^{\frac{3}{2}}}"," ",0,"b^2*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*a^2) + 2/3*(3*b*x + a)/(a^2*x^(3/2))","A",0
475,1,68,0,2.975056," ","integrate(1/x^(7/2)/(b*x-a),x, algorithm=""maxima"")","\frac{b^{3} \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{\sqrt{a b} a^{3}} + \frac{2 \, {\left(15 \, b^{2} x^{2} + 5 \, a b x + 3 \, a^{2}\right)}}{15 \, a^{3} x^{\frac{5}{2}}}"," ",0,"b^3*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*a^3) + 2/15*(15*b^2*x^2 + 5*a*b*x + 3*a^2)/(a^3*x^(5/2))","A",0
476,1,81,0,3.057007," ","integrate(x^(5/2)/(b*x-a)^2,x, algorithm=""maxima"")","-\frac{a^{2} \sqrt{x}}{b^{4} x - a b^{3}} + \frac{5 \, a^{2} \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{3}} + \frac{2 \, {\left(b x^{\frac{3}{2}} + 6 \, a \sqrt{x}\right)}}{3 \, b^{3}}"," ",0,"-a^2*sqrt(x)/(b^4*x - a*b^3) + 5/2*a^2*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*b^3) + 2/3*(b*x^(3/2) + 6*a*sqrt(x))/b^3","A",0
477,1,68,0,2.918541," ","integrate(x^(3/2)/(b*x-a)^2,x, algorithm=""maxima"")","-\frac{a \sqrt{x}}{b^{3} x - a b^{2}} + \frac{3 \, a \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{2}} + \frac{2 \, \sqrt{x}}{b^{2}}"," ",0,"-a*sqrt(x)/(b^3*x - a*b^2) + 3/2*a*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*b^2) + 2*sqrt(x)/b^2","A",0
478,1,56,0,2.987773," ","integrate(x^(1/2)/(b*x-a)^2,x, algorithm=""maxima"")","-\frac{\sqrt{x}}{b^{2} x - a b} + \frac{\log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{2 \, \sqrt{a b} b}"," ",0,"-sqrt(x)/(b^2*x - a*b) + 1/2*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*b)","A",0
479,1,56,0,2.969915," ","integrate(1/(b*x-a)^2/x^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x}}{a b x - a^{2}} - \frac{\log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{2 \, \sqrt{a b} a}"," ",0,"-sqrt(x)/(a*b*x - a^2) - 1/2*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*a)","A",0
480,1,69,0,3.004931," ","integrate(1/x^(3/2)/(b*x-a)^2,x, algorithm=""maxima"")","-\frac{3 \, b x - 2 \, a}{a^{2} b x^{\frac{3}{2}} - a^{3} \sqrt{x}} - \frac{3 \, b \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{2}}"," ",0,"-(3*b*x - 2*a)/(a^2*b*x^(3/2) - a^3*sqrt(x)) - 3/2*b*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*a^2)","A",0
481,1,82,0,2.997990," ","integrate(1/x^(5/2)/(b*x-a)^2,x, algorithm=""maxima"")","-\frac{15 \, b^{2} x^{2} - 10 \, a b x - 2 \, a^{2}}{3 \, {\left(a^{3} b x^{\frac{5}{2}} - a^{4} x^{\frac{3}{2}}\right)}} - \frac{5 \, b^{2} \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{3}}"," ",0,"-1/3*(15*b^2*x^2 - 10*a*b*x - 2*a^2)/(a^3*b*x^(5/2) - a^4*x^(3/2)) - 5/2*b^2*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*a^3)","A",0
482,1,103,0,2.991902," ","integrate(x^(7/2)/(b*x-a)^3,x, algorithm=""maxima"")","-\frac{13 \, a^{2} b x^{\frac{3}{2}} - 11 \, a^{3} \sqrt{x}}{4 \, {\left(b^{6} x^{2} - 2 \, a b^{5} x + a^{2} b^{4}\right)}} + \frac{35 \, a^{2} \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{4}} + \frac{2 \, {\left(b x^{\frac{3}{2}} + 9 \, a \sqrt{x}\right)}}{3 \, b^{4}}"," ",0,"-1/4*(13*a^2*b*x^(3/2) - 11*a^3*sqrt(x))/(b^6*x^2 - 2*a*b^5*x + a^2*b^4) + 35/8*a^2*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*b^4) + 2/3*(b*x^(3/2) + 9*a*sqrt(x))/b^4","A",0
483,1,90,0,2.995889," ","integrate(x^(5/2)/(b*x-a)^3,x, algorithm=""maxima"")","-\frac{9 \, a b x^{\frac{3}{2}} - 7 \, a^{2} \sqrt{x}}{4 \, {\left(b^{5} x^{2} - 2 \, a b^{4} x + a^{2} b^{3}\right)}} + \frac{15 \, a \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{3}} + \frac{2 \, \sqrt{x}}{b^{3}}"," ",0,"-1/4*(9*a*b*x^(3/2) - 7*a^2*sqrt(x))/(b^5*x^2 - 2*a*b^4*x + a^2*b^3) + 15/8*a*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*b^3) + 2*sqrt(x)/b^3","A",0
484,1,78,0,2.988703," ","integrate(x^(3/2)/(b*x-a)^3,x, algorithm=""maxima"")","-\frac{5 \, b x^{\frac{3}{2}} - 3 \, a \sqrt{x}}{4 \, {\left(b^{4} x^{2} - 2 \, a b^{3} x + a^{2} b^{2}\right)}} + \frac{3 \, \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{2}}"," ",0,"-1/4*(5*b*x^(3/2) - 3*a*sqrt(x))/(b^4*x^2 - 2*a*b^3*x + a^2*b^2) + 3/8*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*b^2)","A",0
485,1,80,0,2.848038," ","integrate(x^(1/2)/(b*x-a)^3,x, algorithm=""maxima"")","-\frac{b x^{\frac{3}{2}} + a \sqrt{x}}{4 \, {\left(a b^{3} x^{2} - 2 \, a^{2} b^{2} x + a^{3} b\right)}} - \frac{\log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{8 \, \sqrt{a b} a b}"," ",0,"-1/4*(b*x^(3/2) + a*sqrt(x))/(a*b^3*x^2 - 2*a^2*b^2*x + a^3*b) - 1/8*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*a*b)","A",0
486,1,77,0,2.884298," ","integrate(1/(b*x-a)^3/x^(1/2),x, algorithm=""maxima"")","\frac{3 \, b x^{\frac{3}{2}} - 5 \, a \sqrt{x}}{4 \, {\left(a^{2} b^{2} x^{2} - 2 \, a^{3} b x + a^{4}\right)}} + \frac{3 \, \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{2}}"," ",0,"1/4*(3*b*x^(3/2) - 5*a*sqrt(x))/(a^2*b^2*x^2 - 2*a^3*b*x + a^4) + 3/8*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*a^2)","A",0
487,1,90,0,2.930096," ","integrate(1/x^(3/2)/(b*x-a)^3,x, algorithm=""maxima"")","\frac{15 \, b^{2} x^{2} - 25 \, a b x + 8 \, a^{2}}{4 \, {\left(a^{3} b^{2} x^{\frac{5}{2}} - 2 \, a^{4} b x^{\frac{3}{2}} + a^{5} \sqrt{x}\right)}} + \frac{15 \, b \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{3}}"," ",0,"1/4*(15*b^2*x^2 - 25*a*b*x + 8*a^2)/(a^3*b^2*x^(5/2) - 2*a^4*b*x^(3/2) + a^5*sqrt(x)) + 15/8*b*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*a^3)","A",0
488,1,103,0,2.949798," ","integrate(1/x^(5/2)/(b*x-a)^3,x, algorithm=""maxima"")","\frac{105 \, b^{3} x^{3} - 175 \, a b^{2} x^{2} + 56 \, a^{2} b x + 8 \, a^{3}}{12 \, {\left(a^{4} b^{2} x^{\frac{7}{2}} - 2 \, a^{5} b x^{\frac{5}{2}} + a^{6} x^{\frac{3}{2}}\right)}} + \frac{35 \, b^{2} \log\left(\frac{b \sqrt{x} - \sqrt{a b}}{b \sqrt{x} + \sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{4}}"," ",0,"1/12*(105*b^3*x^3 - 175*a*b^2*x^2 + 56*a^2*b*x + 8*a^3)/(a^4*b^2*x^(7/2) - 2*a^5*b*x^(5/2) + a^6*x^(3/2)) + 35/8*b^2*log((b*sqrt(x) - sqrt(a*b))/(b*sqrt(x) + sqrt(a*b)))/(sqrt(a*b)*a^4)","A",0
489,1,178,0,2.950460," ","integrate(x^(5/2)*(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{5 \, a^{4} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{128 \, b^{\frac{7}{2}}} + \frac{\frac{15 \, \sqrt{b x + a} a^{4} b^{3}}{\sqrt{x}} + \frac{73 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} b^{2}}{x^{\frac{3}{2}}} - \frac{55 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} b}{x^{\frac{5}{2}}} + \frac{15 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{4}}{x^{\frac{7}{2}}}}{192 \, {\left(b^{7} - \frac{4 \, {\left(b x + a\right)} b^{6}}{x} + \frac{6 \, {\left(b x + a\right)}^{2} b^{5}}{x^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b^{4}}{x^{3}} + \frac{{\left(b x + a\right)}^{4} b^{3}}{x^{4}}\right)}}"," ",0,"5/128*a^4*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(7/2) + 1/192*(15*sqrt(b*x + a)*a^4*b^3/sqrt(x) + 73*(b*x + a)^(3/2)*a^4*b^2/x^(3/2) - 55*(b*x + a)^(5/2)*a^4*b/x^(5/2) + 15*(b*x + a)^(7/2)*a^4/x^(7/2))/(b^7 - 4*(b*x + a)*b^6/x + 6*(b*x + a)^2*b^5/x^2 - 4*(b*x + a)^3*b^4/x^3 + (b*x + a)^4*b^3/x^4)","B",0
490,1,146,0,3.043728," ","integrate(x^(3/2)*(b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{16 \, b^{\frac{5}{2}}} - \frac{\frac{3 \, \sqrt{b x + a} a^{3} b^{2}}{\sqrt{x}} + \frac{8 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b}{x^{\frac{3}{2}}} - \frac{3 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3}}{x^{\frac{5}{2}}}}{24 \, {\left(b^{5} - \frac{3 \, {\left(b x + a\right)} b^{4}}{x} + \frac{3 \, {\left(b x + a\right)}^{2} b^{3}}{x^{2}} - \frac{{\left(b x + a\right)}^{3} b^{2}}{x^{3}}\right)}}"," ",0,"-1/16*a^3*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(5/2) - 1/24*(3*sqrt(b*x + a)*a^3*b^2/sqrt(x) + 8*(b*x + a)^(3/2)*a^3*b/x^(3/2) - 3*(b*x + a)^(5/2)*a^3/x^(5/2))/(b^5 - 3*(b*x + a)*b^4/x + 3*(b*x + a)^2*b^3/x^2 - (b*x + a)^3*b^2/x^3)","B",0
491,1,108,0,2.962126," ","integrate(x^(1/2)*(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{a^{2} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{8 \, b^{\frac{3}{2}}} + \frac{\frac{\sqrt{b x + a} a^{2} b}{\sqrt{x}} + \frac{{\left(b x + a\right)}^{\frac{3}{2}} a^{2}}{x^{\frac{3}{2}}}}{4 \, {\left(b^{3} - \frac{2 \, {\left(b x + a\right)} b^{2}}{x} + \frac{{\left(b x + a\right)}^{2} b}{x^{2}}\right)}}"," ",0,"1/8*a^2*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(3/2) + 1/4*(sqrt(b*x + a)*a^2*b/sqrt(x) + (b*x + a)^(3/2)*a^2/x^(3/2))/(b^3 - 2*(b*x + a)*b^2/x + (b*x + a)^2*b/x^2)","B",0
492,1,70,0,2.992417," ","integrate((b*x+a)^(1/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{a \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{2 \, \sqrt{b}} - \frac{\sqrt{b x + a} a}{{\left(b - \frac{b x + a}{x}\right)} \sqrt{x}}"," ",0,"-1/2*a*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/sqrt(b) - sqrt(b*x + a)*a/((b - (b*x + a)/x)*sqrt(x))","B",0
493,1,54,0,3.004365," ","integrate((b*x+a)^(1/2)/x^(3/2),x, algorithm=""maxima"")","-\sqrt{b} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right) - \frac{2 \, \sqrt{b x + a}}{\sqrt{x}}"," ",0,"-sqrt(b)*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x))) - 2*sqrt(b*x + a)/sqrt(x)","A",0
494,1,15,0,1.356714," ","integrate((b*x+a)^(1/2)/x^(5/2),x, algorithm=""maxima"")","-\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",0
495,1,31,0,1.286733," ","integrate((b*x+a)^(1/2)/x^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left(b x + a\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}} - \frac{3 \, {\left(b x + a\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}}\right)}}{15 \, a^{2}}"," ",0,"2/15*(5*(b*x + a)^(3/2)*b/x^(3/2) - 3*(b*x + a)^(5/2)/x^(5/2))/a^2","A",0
496,1,46,0,1.354134," ","integrate((b*x+a)^(1/2)/x^(9/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{35 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}} - \frac{42 \, {\left(b x + a\right)}^{\frac{5}{2}} b}{x^{\frac{5}{2}}} + \frac{15 \, {\left(b x + a\right)}^{\frac{7}{2}}}{x^{\frac{7}{2}}}\right)}}{105 \, a^{3}}"," ",0,"-2/105*(35*(b*x + a)^(3/2)*b^2/x^(3/2) - 42*(b*x + a)^(5/2)*b/x^(5/2) + 15*(b*x + a)^(7/2)/x^(7/2))/a^3","A",0
497,1,170,0,3.009860," ","integrate(x^(5/2)*(-b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{5 \, a^{4} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{64 \, b^{\frac{7}{2}}} + \frac{\frac{15 \, \sqrt{-b x + a} a^{4} b^{3}}{\sqrt{x}} - \frac{73 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{4} b^{2}}{x^{\frac{3}{2}}} - \frac{55 \, {\left(-b x + a\right)}^{\frac{5}{2}} a^{4} b}{x^{\frac{5}{2}}} - \frac{15 \, {\left(-b x + a\right)}^{\frac{7}{2}} a^{4}}{x^{\frac{7}{2}}}}{192 \, {\left(b^{7} - \frac{4 \, {\left(b x - a\right)} b^{6}}{x} + \frac{6 \, {\left(b x - a\right)}^{2} b^{5}}{x^{2}} - \frac{4 \, {\left(b x - a\right)}^{3} b^{4}}{x^{3}} + \frac{{\left(b x - a\right)}^{4} b^{3}}{x^{4}}\right)}}"," ",0,"-5/64*a^4*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(7/2) + 1/192*(15*sqrt(-b*x + a)*a^4*b^3/sqrt(x) - 73*(-b*x + a)^(3/2)*a^4*b^2/x^(3/2) - 55*(-b*x + a)^(5/2)*a^4*b/x^(5/2) - 15*(-b*x + a)^(7/2)*a^4/x^(7/2))/(b^7 - 4*(b*x - a)*b^6/x + 6*(b*x - a)^2*b^5/x^2 - 4*(b*x - a)^3*b^4/x^3 + (b*x - a)^4*b^3/x^4)","A",0
498,1,135,0,2.989870," ","integrate(x^(3/2)*(-b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{a^{3} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{8 \, b^{\frac{5}{2}}} + \frac{\frac{3 \, \sqrt{-b x + a} a^{3} b^{2}}{\sqrt{x}} - \frac{8 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{3} b}{x^{\frac{3}{2}}} - \frac{3 \, {\left(-b x + a\right)}^{\frac{5}{2}} a^{3}}{x^{\frac{5}{2}}}}{24 \, {\left(b^{5} - \frac{3 \, {\left(b x - a\right)} b^{4}}{x} + \frac{3 \, {\left(b x - a\right)}^{2} b^{3}}{x^{2}} - \frac{{\left(b x - a\right)}^{3} b^{2}}{x^{3}}\right)}}"," ",0,"-1/8*a^3*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(5/2) + 1/24*(3*sqrt(-b*x + a)*a^3*b^2/sqrt(x) - 8*(-b*x + a)^(3/2)*a^3*b/x^(3/2) - 3*(-b*x + a)^(5/2)*a^3/x^(5/2))/(b^5 - 3*(b*x - a)*b^4/x + 3*(b*x - a)^2*b^3/x^2 - (b*x - a)^3*b^2/x^3)","A",0
499,1,95,0,2.973628," ","integrate(x^(1/2)*(-b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{a^{2} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{4 \, b^{\frac{3}{2}}} + \frac{\frac{\sqrt{-b x + a} a^{2} b}{\sqrt{x}} - \frac{{\left(-b x + a\right)}^{\frac{3}{2}} a^{2}}{x^{\frac{3}{2}}}}{4 \, {\left(b^{3} - \frac{2 \, {\left(b x - a\right)} b^{2}}{x} + \frac{{\left(b x - a\right)}^{2} b}{x^{2}}\right)}}"," ",0,"-1/4*a^2*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(3/2) + 1/4*(sqrt(-b*x + a)*a^2*b/sqrt(x) - (-b*x + a)^(3/2)*a^2/x^(3/2))/(b^3 - 2*(b*x - a)*b^2/x + (b*x - a)^2*b/x^2)","A",0
500,1,52,0,2.898763," ","integrate((-b*x+a)^(1/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{a \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{\sqrt{b}} + \frac{\sqrt{-b x + a} a}{{\left(b - \frac{b x - a}{x}\right)} \sqrt{x}}"," ",0,"-a*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/sqrt(b) + sqrt(-b*x + a)*a/((b - (b*x - a)/x)*sqrt(x))","A",0
501,1,35,0,2.927913," ","integrate((-b*x+a)^(1/2)/x^(3/2),x, algorithm=""maxima"")","2 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - \frac{2 \, \sqrt{-b x + a}}{\sqrt{x}}"," ",0,"2*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - 2*sqrt(-b*x + a)/sqrt(x)","A",0
502,1,16,0,1.314692," ","integrate((-b*x+a)^(1/2)/x^(5/2),x, algorithm=""maxima"")","-\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",0
503,1,33,0,1.336034," ","integrate((-b*x+a)^(1/2)/x^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{5 \, {\left(-b x + a\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}} + \frac{3 \, {\left(-b x + a\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}}\right)}}{15 \, a^{2}}"," ",0,"-2/15*(5*(-b*x + a)^(3/2)*b/x^(3/2) + 3*(-b*x + a)^(5/2)/x^(5/2))/a^2","A",0
504,1,49,0,1.351231," ","integrate((-b*x+a)^(1/2)/x^(9/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{35 \, {\left(-b x + a\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}} + \frac{42 \, {\left(-b x + a\right)}^{\frac{5}{2}} b}{x^{\frac{5}{2}}} + \frac{15 \, {\left(-b x + a\right)}^{\frac{7}{2}}}{x^{\frac{7}{2}}}\right)}}{105 \, a^{3}}"," ",0,"-2/105*(35*(-b*x + a)^(3/2)*b^2/x^(3/2) + 42*(-b*x + a)^(5/2)*b/x^(5/2) + 15*(-b*x + a)^(7/2)/x^(7/2))/a^3","A",0
505,1,163,0,3.030332," ","integrate(x^(5/2)*(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\frac{15 \, \sqrt{b x + 2} b^{3}}{\sqrt{x}} + \frac{73 \, {\left(b x + 2\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}} - \frac{55 \, {\left(b x + 2\right)}^{\frac{5}{2}} b}{x^{\frac{5}{2}}} + \frac{15 \, {\left(b x + 2\right)}^{\frac{7}{2}}}{x^{\frac{7}{2}}}}{12 \, {\left(b^{7} - \frac{4 \, {\left(b x + 2\right)} b^{6}}{x} + \frac{6 \, {\left(b x + 2\right)}^{2} b^{5}}{x^{2}} - \frac{4 \, {\left(b x + 2\right)}^{3} b^{4}}{x^{3}} + \frac{{\left(b x + 2\right)}^{4} b^{3}}{x^{4}}\right)}} + \frac{5 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{8 \, b^{\frac{7}{2}}}"," ",0,"1/12*(15*sqrt(b*x + 2)*b^3/sqrt(x) + 73*(b*x + 2)^(3/2)*b^2/x^(3/2) - 55*(b*x + 2)^(5/2)*b/x^(5/2) + 15*(b*x + 2)^(7/2)/x^(7/2))/(b^7 - 4*(b*x + 2)*b^6/x + 6*(b*x + 2)^2*b^5/x^2 - 4*(b*x + 2)^3*b^4/x^3 + (b*x + 2)^4*b^3/x^4) + 5/8*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(7/2)","B",0
506,1,134,0,3.016194," ","integrate(x^(3/2)*(b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{3 \, \sqrt{b x + 2} b^{2}}{\sqrt{x}} + \frac{8 \, {\left(b x + 2\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}} - \frac{3 \, {\left(b x + 2\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}}}{3 \, {\left(b^{5} - \frac{3 \, {\left(b x + 2\right)} b^{4}}{x} + \frac{3 \, {\left(b x + 2\right)}^{2} b^{3}}{x^{2}} - \frac{{\left(b x + 2\right)}^{3} b^{2}}{x^{3}}\right)}} - \frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{2 \, b^{\frac{5}{2}}}"," ",0,"-1/3*(3*sqrt(b*x + 2)*b^2/sqrt(x) + 8*(b*x + 2)^(3/2)*b/x^(3/2) - 3*(b*x + 2)^(5/2)/x^(5/2))/(b^5 - 3*(b*x + 2)*b^4/x + 3*(b*x + 2)^2*b^3/x^2 - (b*x + 2)^3*b^2/x^3) - 1/2*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(5/2)","B",0
507,1,98,0,2.905927," ","integrate(x^(1/2)*(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\frac{\sqrt{b x + 2} b}{\sqrt{x}} + \frac{{\left(b x + 2\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}}{b^{3} - \frac{2 \, {\left(b x + 2\right)} b^{2}}{x} + \frac{{\left(b x + 2\right)}^{2} b}{x^{2}}} + \frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{2 \, b^{\frac{3}{2}}}"," ",0,"(sqrt(b*x + 2)*b/sqrt(x) + (b*x + 2)^(3/2)/x^(3/2))/(b^3 - 2*(b*x + 2)*b^2/x + (b*x + 2)^2*b/x^2) + 1/2*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(3/2)","B",0
508,1,68,0,2.958591," ","integrate((b*x+2)^(1/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{\sqrt{b}} - \frac{2 \, \sqrt{b x + 2}}{{\left(b - \frac{b x + 2}{x}\right)} \sqrt{x}}"," ",0,"-log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/sqrt(b) - 2*sqrt(b*x + 2)/((b - (b*x + 2)/x)*sqrt(x))","B",0
509,1,54,0,2.951114," ","integrate((b*x+2)^(1/2)/x^(3/2),x, algorithm=""maxima"")","-\sqrt{b} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right) - \frac{2 \, \sqrt{b x + 2}}{\sqrt{x}}"," ",0,"-sqrt(b)*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x))) - 2*sqrt(b*x + 2)/sqrt(x)","A",0
510,1,12,0,1.313610," ","integrate((b*x+2)^(1/2)/x^(5/2),x, algorithm=""maxima"")","-\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",0
511,1,26,0,1.317292," ","integrate((b*x+2)^(1/2)/x^(7/2),x, algorithm=""maxima"")","\frac{{\left(b x + 2\right)}^{\frac{3}{2}} b}{6 \, x^{\frac{3}{2}}} - \frac{{\left(b x + 2\right)}^{\frac{5}{2}}}{10 \, x^{\frac{5}{2}}}"," ",0,"1/6*(b*x + 2)^(3/2)*b/x^(3/2) - 1/10*(b*x + 2)^(5/2)/x^(5/2)","A",0
512,1,41,0,1.274222," ","integrate((b*x+2)^(1/2)/x^(9/2),x, algorithm=""maxima"")","-\frac{{\left(b x + 2\right)}^{\frac{3}{2}} b^{2}}{12 \, x^{\frac{3}{2}}} + \frac{{\left(b x + 2\right)}^{\frac{5}{2}} b}{10 \, x^{\frac{5}{2}}} - \frac{{\left(b x + 2\right)}^{\frac{7}{2}}}{28 \, x^{\frac{7}{2}}}"," ",0,"-1/12*(b*x + 2)^(3/2)*b^2/x^(3/2) + 1/10*(b*x + 2)^(5/2)*b/x^(5/2) - 1/28*(b*x + 2)^(7/2)/x^(7/2)","A",0
513,1,147,0,2.932241," ","integrate(x^(5/2)*(-b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\frac{15 \, \sqrt{-b x + 2} b^{3}}{\sqrt{x}} - \frac{73 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}} - \frac{55 \, {\left(-b x + 2\right)}^{\frac{5}{2}} b}{x^{\frac{5}{2}}} - \frac{15 \, {\left(-b x + 2\right)}^{\frac{7}{2}}}{x^{\frac{7}{2}}}}{12 \, {\left(b^{7} - \frac{4 \, {\left(b x - 2\right)} b^{6}}{x} + \frac{6 \, {\left(b x - 2\right)}^{2} b^{5}}{x^{2}} - \frac{4 \, {\left(b x - 2\right)}^{3} b^{4}}{x^{3}} + \frac{{\left(b x - 2\right)}^{4} b^{3}}{x^{4}}\right)}} - \frac{5 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{4 \, b^{\frac{7}{2}}}"," ",0,"1/12*(15*sqrt(-b*x + 2)*b^3/sqrt(x) - 73*(-b*x + 2)^(3/2)*b^2/x^(3/2) - 55*(-b*x + 2)^(5/2)*b/x^(5/2) - 15*(-b*x + 2)^(7/2)/x^(7/2))/(b^7 - 4*(b*x - 2)*b^6/x + 6*(b*x - 2)^2*b^5/x^2 - 4*(b*x - 2)^3*b^4/x^3 + (b*x - 2)^4*b^3/x^4) - 5/4*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(7/2)","A",0
514,1,117,0,2.975937," ","integrate(x^(3/2)*(-b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\frac{3 \, \sqrt{-b x + 2} b^{2}}{\sqrt{x}} - \frac{8 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}} - \frac{3 \, {\left(-b x + 2\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}}}{3 \, {\left(b^{5} - \frac{3 \, {\left(b x - 2\right)} b^{4}}{x} + \frac{3 \, {\left(b x - 2\right)}^{2} b^{3}}{x^{2}} - \frac{{\left(b x - 2\right)}^{3} b^{2}}{x^{3}}\right)}} - \frac{\arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{5}{2}}}"," ",0,"1/3*(3*sqrt(-b*x + 2)*b^2/sqrt(x) - 8*(-b*x + 2)^(3/2)*b/x^(3/2) - 3*(-b*x + 2)^(5/2)/x^(5/2))/(b^5 - 3*(b*x - 2)*b^4/x + 3*(b*x - 2)^2*b^3/x^2 - (b*x - 2)^3*b^2/x^3) - arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(5/2)","A",0
515,1,81,0,2.953171," ","integrate(x^(1/2)*(-b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\frac{\sqrt{-b x + 2} b}{\sqrt{x}} - \frac{{\left(-b x + 2\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}}{b^{3} - \frac{2 \, {\left(b x - 2\right)} b^{2}}{x} + \frac{{\left(b x - 2\right)}^{2} b}{x^{2}}} - \frac{\arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{3}{2}}}"," ",0,"(sqrt(-b*x + 2)*b/sqrt(x) - (-b*x + 2)^(3/2)/x^(3/2))/(b^3 - 2*(b*x - 2)*b^2/x + (b*x - 2)^2*b/x^2) - arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(3/2)","A",0
516,1,49,0,2.911752," ","integrate((-b*x+2)^(1/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{\sqrt{b}} + \frac{2 \, \sqrt{-b x + 2}}{{\left(b - \frac{b x - 2}{x}\right)} \sqrt{x}}"," ",0,"-2*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/sqrt(b) + 2*sqrt(-b*x + 2)/((b - (b*x - 2)/x)*sqrt(x))","A",0
517,1,35,0,3.013182," ","integrate((-b*x+2)^(1/2)/x^(3/2),x, algorithm=""maxima"")","2 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) - \frac{2 \, \sqrt{-b x + 2}}{\sqrt{x}}"," ",0,"2*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) - 2*sqrt(-b*x + 2)/sqrt(x)","A",0
518,1,13,0,1.284911," ","integrate((-b*x+2)^(1/2)/x^(5/2),x, algorithm=""maxima"")","-\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",0
519,1,28,0,1.333605," ","integrate((-b*x+2)^(1/2)/x^(7/2),x, algorithm=""maxima"")","-\frac{{\left(-b x + 2\right)}^{\frac{3}{2}} b}{6 \, x^{\frac{3}{2}}} - \frac{{\left(-b x + 2\right)}^{\frac{5}{2}}}{10 \, x^{\frac{5}{2}}}"," ",0,"-1/6*(-b*x + 2)^(3/2)*b/x^(3/2) - 1/10*(-b*x + 2)^(5/2)/x^(5/2)","A",0
520,1,44,0,1.312333," ","integrate((-b*x+2)^(1/2)/x^(9/2),x, algorithm=""maxima"")","-\frac{{\left(-b x + 2\right)}^{\frac{3}{2}} b^{2}}{12 \, x^{\frac{3}{2}}} - \frac{{\left(-b x + 2\right)}^{\frac{5}{2}} b}{10 \, x^{\frac{5}{2}}} - \frac{{\left(-b x + 2\right)}^{\frac{7}{2}}}{28 \, x^{\frac{7}{2}}}"," ",0,"-1/12*(-b*x + 2)^(3/2)*b^2/x^(3/2) - 1/10*(-b*x + 2)^(5/2)*b/x^(5/2) - 1/28*(-b*x + 2)^(7/2)/x^(7/2)","A",0
521,1,212,0,2.963677," ","integrate(x^(5/2)*(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{3 \, a^{5} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{256 \, b^{\frac{7}{2}}} + \frac{\frac{15 \, \sqrt{b x + a} a^{5} b^{4}}{\sqrt{x}} - \frac{70 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} b^{3}}{x^{\frac{3}{2}}} - \frac{128 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{5} b^{2}}{x^{\frac{5}{2}}} + \frac{70 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{5} b}{x^{\frac{7}{2}}} - \frac{15 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{5}}{x^{\frac{9}{2}}}}{640 \, {\left(b^{8} - \frac{5 \, {\left(b x + a\right)} b^{7}}{x} + \frac{10 \, {\left(b x + a\right)}^{2} b^{6}}{x^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{5}}{x^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b^{4}}{x^{4}} - \frac{{\left(b x + a\right)}^{5} b^{3}}{x^{5}}\right)}}"," ",0,"3/256*a^5*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(7/2) + 1/640*(15*sqrt(b*x + a)*a^5*b^4/sqrt(x) - 70*(b*x + a)^(3/2)*a^5*b^3/x^(3/2) - 128*(b*x + a)^(5/2)*a^5*b^2/x^(5/2) + 70*(b*x + a)^(7/2)*a^5*b/x^(7/2) - 15*(b*x + a)^(9/2)*a^5/x^(9/2))/(b^8 - 5*(b*x + a)*b^7/x + 10*(b*x + a)^2*b^6/x^2 - 10*(b*x + a)^3*b^5/x^3 + 5*(b*x + a)^4*b^4/x^4 - (b*x + a)^5*b^3/x^5)","B",0
522,1,178,0,2.960787," ","integrate(x^(3/2)*(b*x+a)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, a^{4} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{128 \, b^{\frac{5}{2}}} - \frac{\frac{3 \, \sqrt{b x + a} a^{4} b^{3}}{\sqrt{x}} - \frac{11 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} b^{2}}{x^{\frac{3}{2}}} - \frac{11 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} b}{x^{\frac{5}{2}}} + \frac{3 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{4}}{x^{\frac{7}{2}}}}{64 \, {\left(b^{6} - \frac{4 \, {\left(b x + a\right)} b^{5}}{x} + \frac{6 \, {\left(b x + a\right)}^{2} b^{4}}{x^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b^{3}}{x^{3}} + \frac{{\left(b x + a\right)}^{4} b^{2}}{x^{4}}\right)}}"," ",0,"-3/128*a^4*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(5/2) - 1/64*(3*sqrt(b*x + a)*a^4*b^3/sqrt(x) - 11*(b*x + a)^(3/2)*a^4*b^2/x^(3/2) - 11*(b*x + a)^(5/2)*a^4*b/x^(5/2) + 3*(b*x + a)^(7/2)*a^4/x^(7/2))/(b^6 - 4*(b*x + a)*b^5/x + 6*(b*x + a)^2*b^4/x^2 - 4*(b*x + a)^3*b^3/x^3 + (b*x + a)^4*b^2/x^4)","B",0
523,1,144,0,3.021751," ","integrate((b*x+a)^(3/2)*x^(1/2),x, algorithm=""maxima"")","\frac{a^{3} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{16 \, b^{\frac{3}{2}}} + \frac{\frac{3 \, \sqrt{b x + a} a^{3} b^{2}}{\sqrt{x}} - \frac{8 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b}{x^{\frac{3}{2}}} - \frac{3 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3}}{x^{\frac{5}{2}}}}{24 \, {\left(b^{4} - \frac{3 \, {\left(b x + a\right)} b^{3}}{x} + \frac{3 \, {\left(b x + a\right)}^{2} b^{2}}{x^{2}} - \frac{{\left(b x + a\right)}^{3} b}{x^{3}}\right)}}"," ",0,"1/16*a^3*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(3/2) + 1/24*(3*sqrt(b*x + a)*a^3*b^2/sqrt(x) - 8*(b*x + a)^(3/2)*a^3*b/x^(3/2) - 3*(b*x + a)^(5/2)*a^3/x^(5/2))/(b^4 - 3*(b*x + a)*b^3/x + 3*(b*x + a)^2*b^2/x^2 - (b*x + a)^3*b/x^3)","B",0
524,1,107,0,2.985060," ","integrate((b*x+a)^(3/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{3 \, a^{2} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{8 \, \sqrt{b}} - \frac{\frac{3 \, \sqrt{b x + a} a^{2} b}{\sqrt{x}} - \frac{5 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2}}{x^{\frac{3}{2}}}}{4 \, {\left(b^{2} - \frac{2 \, {\left(b x + a\right)} b}{x} + \frac{{\left(b x + a\right)}^{2}}{x^{2}}\right)}}"," ",0,"-3/8*a^2*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/sqrt(b) - 1/4*(3*sqrt(b*x + a)*a^2*b/sqrt(x) - 5*(b*x + a)^(3/2)*a^2/x^(3/2))/(b^2 - 2*(b*x + a)*b/x + (b*x + a)^2/x^2)","B",0
525,1,84,0,2.987414," ","integrate((b*x+a)^(3/2)/x^(3/2),x, algorithm=""maxima"")","-\frac{3}{2} \, a \sqrt{b} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right) - \frac{2 \, \sqrt{b x + a} a}{\sqrt{x}} - \frac{\sqrt{b x + a} a b}{{\left(b - \frac{b x + a}{x}\right)} \sqrt{x}}"," ",0,"-3/2*a*sqrt(b)*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x))) - 2*sqrt(b*x + a)*a/sqrt(x) - sqrt(b*x + a)*a*b/((b - (b*x + a)/x)*sqrt(x))","A",0
526,1,67,0,2.926392," ","integrate((b*x+a)^(3/2)/x^(5/2),x, algorithm=""maxima"")","-b^{\frac{3}{2}} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right) - \frac{2 \, \sqrt{b x + a} b}{\sqrt{x}} - \frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, x^{\frac{3}{2}}}"," ",0,"-b^(3/2)*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x))) - 2*sqrt(b*x + a)*b/sqrt(x) - 2/3*(b*x + a)^(3/2)/x^(3/2)","A",0
527,1,207,0,3.115461," ","integrate(x^(5/2)*(-b*x+a)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, a^{5} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{128 \, b^{\frac{7}{2}}} + \frac{\frac{15 \, \sqrt{-b x + a} a^{5} b^{4}}{\sqrt{x}} + \frac{70 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{5} b^{3}}{x^{\frac{3}{2}}} - \frac{128 \, {\left(-b x + a\right)}^{\frac{5}{2}} a^{5} b^{2}}{x^{\frac{5}{2}}} - \frac{70 \, {\left(-b x + a\right)}^{\frac{7}{2}} a^{5} b}{x^{\frac{7}{2}}} - \frac{15 \, {\left(-b x + a\right)}^{\frac{9}{2}} a^{5}}{x^{\frac{9}{2}}}}{640 \, {\left(b^{8} - \frac{5 \, {\left(b x - a\right)} b^{7}}{x} + \frac{10 \, {\left(b x - a\right)}^{2} b^{6}}{x^{2}} - \frac{10 \, {\left(b x - a\right)}^{3} b^{5}}{x^{3}} + \frac{5 \, {\left(b x - a\right)}^{4} b^{4}}{x^{4}} - \frac{{\left(b x - a\right)}^{5} b^{3}}{x^{5}}\right)}}"," ",0,"-3/128*a^5*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(7/2) + 1/640*(15*sqrt(-b*x + a)*a^5*b^4/sqrt(x) + 70*(-b*x + a)^(3/2)*a^5*b^3/x^(3/2) - 128*(-b*x + a)^(5/2)*a^5*b^2/x^(5/2) - 70*(-b*x + a)^(7/2)*a^5*b/x^(7/2) - 15*(-b*x + a)^(9/2)*a^5/x^(9/2))/(b^8 - 5*(b*x - a)*b^7/x + 10*(b*x - a)^2*b^6/x^2 - 10*(b*x - a)^3*b^5/x^3 + 5*(b*x - a)^4*b^4/x^4 - (b*x - a)^5*b^3/x^5)","A",0
528,1,170,0,2.967802," ","integrate(x^(3/2)*(-b*x+a)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, a^{4} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{64 \, b^{\frac{5}{2}}} + \frac{\frac{3 \, \sqrt{-b x + a} a^{4} b^{3}}{\sqrt{x}} + \frac{11 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{4} b^{2}}{x^{\frac{3}{2}}} - \frac{11 \, {\left(-b x + a\right)}^{\frac{5}{2}} a^{4} b}{x^{\frac{5}{2}}} - \frac{3 \, {\left(-b x + a\right)}^{\frac{7}{2}} a^{4}}{x^{\frac{7}{2}}}}{64 \, {\left(b^{6} - \frac{4 \, {\left(b x - a\right)} b^{5}}{x} + \frac{6 \, {\left(b x - a\right)}^{2} b^{4}}{x^{2}} - \frac{4 \, {\left(b x - a\right)}^{3} b^{3}}{x^{3}} + \frac{{\left(b x - a\right)}^{4} b^{2}}{x^{4}}\right)}}"," ",0,"-3/64*a^4*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(5/2) + 1/64*(3*sqrt(-b*x + a)*a^4*b^3/sqrt(x) + 11*(-b*x + a)^(3/2)*a^4*b^2/x^(3/2) - 11*(-b*x + a)^(5/2)*a^4*b/x^(5/2) - 3*(-b*x + a)^(7/2)*a^4/x^(7/2))/(b^6 - 4*(b*x - a)*b^5/x + 6*(b*x - a)^2*b^4/x^2 - 4*(b*x - a)^3*b^3/x^3 + (b*x - a)^4*b^2/x^4)","A",0
529,1,133,0,2.990293," ","integrate((-b*x+a)^(3/2)*x^(1/2),x, algorithm=""maxima"")","-\frac{a^{3} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{8 \, b^{\frac{3}{2}}} + \frac{\frac{3 \, \sqrt{-b x + a} a^{3} b^{2}}{\sqrt{x}} + \frac{8 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{3} b}{x^{\frac{3}{2}}} - \frac{3 \, {\left(-b x + a\right)}^{\frac{5}{2}} a^{3}}{x^{\frac{5}{2}}}}{24 \, {\left(b^{4} - \frac{3 \, {\left(b x - a\right)} b^{3}}{x} + \frac{3 \, {\left(b x - a\right)}^{2} b^{2}}{x^{2}} - \frac{{\left(b x - a\right)}^{3} b}{x^{3}}\right)}}"," ",0,"-1/8*a^3*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(3/2) + 1/24*(3*sqrt(-b*x + a)*a^3*b^2/sqrt(x) + 8*(-b*x + a)^(3/2)*a^3*b/x^(3/2) - 3*(-b*x + a)^(5/2)*a^3/x^(5/2))/(b^4 - 3*(b*x - a)*b^3/x + 3*(b*x - a)^2*b^2/x^2 - (b*x - a)^3*b/x^3)","A",0
530,1,93,0,2.895675," ","integrate((-b*x+a)^(3/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{3 \, a^{2} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{4 \, \sqrt{b}} + \frac{\frac{3 \, \sqrt{-b x + a} a^{2} b}{\sqrt{x}} + \frac{5 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{2}}{x^{\frac{3}{2}}}}{4 \, {\left(b^{2} - \frac{2 \, {\left(b x - a\right)} b}{x} + \frac{{\left(b x - a\right)}^{2}}{x^{2}}\right)}}"," ",0,"-3/4*a^2*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/sqrt(b) + 1/4*(3*sqrt(-b*x + a)*a^2*b/sqrt(x) + 5*(-b*x + a)^(3/2)*a^2/x^(3/2))/(b^2 - 2*(b*x - a)*b/x + (b*x - a)^2/x^2)","A",0
531,1,68,0,2.846065," ","integrate((-b*x+a)^(3/2)/x^(3/2),x, algorithm=""maxima"")","3 \, a \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - \frac{2 \, \sqrt{-b x + a} a}{\sqrt{x}} - \frac{\sqrt{-b x + a} a b}{{\left(b - \frac{b x - a}{x}\right)} \sqrt{x}}"," ",0,"3*a*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - 2*sqrt(-b*x + a)*a/sqrt(x) - sqrt(-b*x + a)*a*b/((b - (b*x - a)/x)*sqrt(x))","A",0
532,1,49,0,2.858943," ","integrate((-b*x+a)^(3/2)/x^(5/2),x, algorithm=""maxima"")","-2 \, b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + \frac{2 \, \sqrt{-b x + a} b}{\sqrt{x}} - \frac{2 \, {\left(-b x + a\right)}^{\frac{3}{2}}}{3 \, x^{\frac{3}{2}}}"," ",0,"-2*b^(3/2)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + 2*sqrt(-b*x + a)*b/sqrt(x) - 2/3*(-b*x + a)^(3/2)/x^(3/2)","A",0
533,1,194,0,2.985875," ","integrate(x^(5/2)*(b*x+2)^(3/2),x, algorithm=""maxima"")","\frac{\frac{15 \, \sqrt{b x + 2} b^{4}}{\sqrt{x}} - \frac{70 \, {\left(b x + 2\right)}^{\frac{3}{2}} b^{3}}{x^{\frac{3}{2}}} - \frac{128 \, {\left(b x + 2\right)}^{\frac{5}{2}} b^{2}}{x^{\frac{5}{2}}} + \frac{70 \, {\left(b x + 2\right)}^{\frac{7}{2}} b}{x^{\frac{7}{2}}} - \frac{15 \, {\left(b x + 2\right)}^{\frac{9}{2}}}{x^{\frac{9}{2}}}}{20 \, {\left(b^{8} - \frac{5 \, {\left(b x + 2\right)} b^{7}}{x} + \frac{10 \, {\left(b x + 2\right)}^{2} b^{6}}{x^{2}} - \frac{10 \, {\left(b x + 2\right)}^{3} b^{5}}{x^{3}} + \frac{5 \, {\left(b x + 2\right)}^{4} b^{4}}{x^{4}} - \frac{{\left(b x + 2\right)}^{5} b^{3}}{x^{5}}\right)}} + \frac{3 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{8 \, b^{\frac{7}{2}}}"," ",0,"1/20*(15*sqrt(b*x + 2)*b^4/sqrt(x) - 70*(b*x + 2)^(3/2)*b^3/x^(3/2) - 128*(b*x + 2)^(5/2)*b^2/x^(5/2) + 70*(b*x + 2)^(7/2)*b/x^(7/2) - 15*(b*x + 2)^(9/2)/x^(9/2))/(b^8 - 5*(b*x + 2)*b^7/x + 10*(b*x + 2)^2*b^6/x^2 - 10*(b*x + 2)^3*b^5/x^3 + 5*(b*x + 2)^4*b^4/x^4 - (b*x + 2)^5*b^3/x^5) + 3/8*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(7/2)","B",0
534,1,163,0,3.043396," ","integrate(x^(3/2)*(b*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{3 \, \sqrt{b x + 2} b^{3}}{\sqrt{x}} - \frac{11 \, {\left(b x + 2\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}} - \frac{11 \, {\left(b x + 2\right)}^{\frac{5}{2}} b}{x^{\frac{5}{2}}} + \frac{3 \, {\left(b x + 2\right)}^{\frac{7}{2}}}{x^{\frac{7}{2}}}}{4 \, {\left(b^{6} - \frac{4 \, {\left(b x + 2\right)} b^{5}}{x} + \frac{6 \, {\left(b x + 2\right)}^{2} b^{4}}{x^{2}} - \frac{4 \, {\left(b x + 2\right)}^{3} b^{3}}{x^{3}} + \frac{{\left(b x + 2\right)}^{4} b^{2}}{x^{4}}\right)}} - \frac{3 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{8 \, b^{\frac{5}{2}}}"," ",0,"-1/4*(3*sqrt(b*x + 2)*b^3/sqrt(x) - 11*(b*x + 2)^(3/2)*b^2/x^(3/2) - 11*(b*x + 2)^(5/2)*b/x^(5/2) + 3*(b*x + 2)^(7/2)/x^(7/2))/(b^6 - 4*(b*x + 2)*b^5/x + 6*(b*x + 2)^2*b^4/x^2 - 4*(b*x + 2)^3*b^3/x^3 + (b*x + 2)^4*b^2/x^4) - 3/8*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(5/2)","B",0
535,1,132,0,2.992950," ","integrate((b*x+2)^(3/2)*x^(1/2),x, algorithm=""maxima"")","\frac{\frac{3 \, \sqrt{b x + 2} b^{2}}{\sqrt{x}} - \frac{8 \, {\left(b x + 2\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}} - \frac{3 \, {\left(b x + 2\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}}}{3 \, {\left(b^{4} - \frac{3 \, {\left(b x + 2\right)} b^{3}}{x} + \frac{3 \, {\left(b x + 2\right)}^{2} b^{2}}{x^{2}} - \frac{{\left(b x + 2\right)}^{3} b}{x^{3}}\right)}} + \frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{2 \, b^{\frac{3}{2}}}"," ",0,"1/3*(3*sqrt(b*x + 2)*b^2/sqrt(x) - 8*(b*x + 2)^(3/2)*b/x^(3/2) - 3*(b*x + 2)^(5/2)/x^(5/2))/(b^4 - 3*(b*x + 2)*b^3/x + 3*(b*x + 2)^2*b^2/x^2 - (b*x + 2)^3*b/x^3) + 1/2*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(3/2)","B",0
536,1,98,0,2.894611," ","integrate((b*x+2)^(3/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{3 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{2 \, \sqrt{b}} - \frac{\frac{3 \, \sqrt{b x + 2} b}{\sqrt{x}} - \frac{5 \, {\left(b x + 2\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}}{b^{2} - \frac{2 \, {\left(b x + 2\right)} b}{x} + \frac{{\left(b x + 2\right)}^{2}}{x^{2}}}"," ",0,"-3/2*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/sqrt(b) - (3*sqrt(b*x + 2)*b/sqrt(x) - 5*(b*x + 2)^(3/2)/x^(3/2))/(b^2 - 2*(b*x + 2)*b/x + (b*x + 2)^2/x^2)","B",0
537,1,81,0,2.914107," ","integrate((b*x+2)^(3/2)/x^(3/2),x, algorithm=""maxima"")","-3 \, \sqrt{b} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right) - \frac{4 \, \sqrt{b x + 2}}{\sqrt{x}} - \frac{2 \, \sqrt{b x + 2} b}{{\left(b - \frac{b x + 2}{x}\right)} \sqrt{x}}"," ",0,"-3*sqrt(b)*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x))) - 4*sqrt(b*x + 2)/sqrt(x) - 2*sqrt(b*x + 2)*b/((b - (b*x + 2)/x)*sqrt(x))","A",0
538,1,67,0,2.971793," ","integrate((b*x+2)^(3/2)/x^(5/2),x, algorithm=""maxima"")","-b^{\frac{3}{2}} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right) - \frac{2 \, \sqrt{b x + 2} b}{\sqrt{x}} - \frac{2 \, {\left(b x + 2\right)}^{\frac{3}{2}}}{3 \, x^{\frac{3}{2}}}"," ",0,"-b^(3/2)*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x))) - 2*sqrt(b*x + 2)*b/sqrt(x) - 2/3*(b*x + 2)^(3/2)/x^(3/2)","A",0
539,1,179,0,2.943449," ","integrate(x^(5/2)*(-b*x+2)^(3/2),x, algorithm=""maxima"")","\frac{\frac{15 \, \sqrt{-b x + 2} b^{4}}{\sqrt{x}} + \frac{70 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b^{3}}{x^{\frac{3}{2}}} - \frac{128 \, {\left(-b x + 2\right)}^{\frac{5}{2}} b^{2}}{x^{\frac{5}{2}}} - \frac{70 \, {\left(-b x + 2\right)}^{\frac{7}{2}} b}{x^{\frac{7}{2}}} - \frac{15 \, {\left(-b x + 2\right)}^{\frac{9}{2}}}{x^{\frac{9}{2}}}}{20 \, {\left(b^{8} - \frac{5 \, {\left(b x - 2\right)} b^{7}}{x} + \frac{10 \, {\left(b x - 2\right)}^{2} b^{6}}{x^{2}} - \frac{10 \, {\left(b x - 2\right)}^{3} b^{5}}{x^{3}} + \frac{5 \, {\left(b x - 2\right)}^{4} b^{4}}{x^{4}} - \frac{{\left(b x - 2\right)}^{5} b^{3}}{x^{5}}\right)}} - \frac{3 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{4 \, b^{\frac{7}{2}}}"," ",0,"1/20*(15*sqrt(-b*x + 2)*b^4/sqrt(x) + 70*(-b*x + 2)^(3/2)*b^3/x^(3/2) - 128*(-b*x + 2)^(5/2)*b^2/x^(5/2) - 70*(-b*x + 2)^(7/2)*b/x^(7/2) - 15*(-b*x + 2)^(9/2)/x^(9/2))/(b^8 - 5*(b*x - 2)*b^7/x + 10*(b*x - 2)^2*b^6/x^2 - 10*(b*x - 2)^3*b^5/x^3 + 5*(b*x - 2)^4*b^4/x^4 - (b*x - 2)^5*b^3/x^5) - 3/4*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(7/2)","A",0
540,1,147,0,2.924653," ","integrate(x^(3/2)*(-b*x+2)^(3/2),x, algorithm=""maxima"")","\frac{\frac{3 \, \sqrt{-b x + 2} b^{3}}{\sqrt{x}} + \frac{11 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}} - \frac{11 \, {\left(-b x + 2\right)}^{\frac{5}{2}} b}{x^{\frac{5}{2}}} - \frac{3 \, {\left(-b x + 2\right)}^{\frac{7}{2}}}{x^{\frac{7}{2}}}}{4 \, {\left(b^{6} - \frac{4 \, {\left(b x - 2\right)} b^{5}}{x} + \frac{6 \, {\left(b x - 2\right)}^{2} b^{4}}{x^{2}} - \frac{4 \, {\left(b x - 2\right)}^{3} b^{3}}{x^{3}} + \frac{{\left(b x - 2\right)}^{4} b^{2}}{x^{4}}\right)}} - \frac{3 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{4 \, b^{\frac{5}{2}}}"," ",0,"1/4*(3*sqrt(-b*x + 2)*b^3/sqrt(x) + 11*(-b*x + 2)^(3/2)*b^2/x^(3/2) - 11*(-b*x + 2)^(5/2)*b/x^(5/2) - 3*(-b*x + 2)^(7/2)/x^(7/2))/(b^6 - 4*(b*x - 2)*b^5/x + 6*(b*x - 2)^2*b^4/x^2 - 4*(b*x - 2)^3*b^3/x^3 + (b*x - 2)^4*b^2/x^4) - 3/4*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(5/2)","A",0
541,1,115,0,3.042346," ","integrate((-b*x+2)^(3/2)*x^(1/2),x, algorithm=""maxima"")","\frac{\frac{3 \, \sqrt{-b x + 2} b^{2}}{\sqrt{x}} + \frac{8 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}} - \frac{3 \, {\left(-b x + 2\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}}}{3 \, {\left(b^{4} - \frac{3 \, {\left(b x - 2\right)} b^{3}}{x} + \frac{3 \, {\left(b x - 2\right)}^{2} b^{2}}{x^{2}} - \frac{{\left(b x - 2\right)}^{3} b}{x^{3}}\right)}} - \frac{\arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{3}{2}}}"," ",0,"1/3*(3*sqrt(-b*x + 2)*b^2/sqrt(x) + 8*(-b*x + 2)^(3/2)*b/x^(3/2) - 3*(-b*x + 2)^(5/2)/x^(5/2))/(b^4 - 3*(b*x - 2)*b^3/x + 3*(b*x - 2)^2*b^2/x^2 - (b*x - 2)^3*b/x^3) - arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(3/2)","A",0
542,1,79,0,2.983772," ","integrate((-b*x+2)^(3/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{3 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{\sqrt{b}} + \frac{\frac{3 \, \sqrt{-b x + 2} b}{\sqrt{x}} + \frac{5 \, {\left(-b x + 2\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}}{b^{2} - \frac{2 \, {\left(b x - 2\right)} b}{x} + \frac{{\left(b x - 2\right)}^{2}}{x^{2}}}"," ",0,"-3*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/sqrt(b) + (3*sqrt(-b*x + 2)*b/sqrt(x) + 5*(-b*x + 2)^(3/2)/x^(3/2))/(b^2 - 2*(b*x - 2)*b/x + (b*x - 2)^2/x^2)","A",0
543,1,63,0,2.988923," ","integrate((-b*x+2)^(3/2)/x^(3/2),x, algorithm=""maxima"")","6 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) - \frac{4 \, \sqrt{-b x + 2}}{\sqrt{x}} - \frac{2 \, \sqrt{-b x + 2} b}{{\left(b - \frac{b x - 2}{x}\right)} \sqrt{x}}"," ",0,"6*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) - 4*sqrt(-b*x + 2)/sqrt(x) - 2*sqrt(-b*x + 2)*b/((b - (b*x - 2)/x)*sqrt(x))","A",0
544,1,49,0,3.004119," ","integrate((-b*x+2)^(3/2)/x^(5/2),x, algorithm=""maxima"")","-2 \, b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) + \frac{2 \, \sqrt{-b x + 2} b}{\sqrt{x}} - \frac{2 \, {\left(-b x + 2\right)}^{\frac{3}{2}}}{3 \, x^{\frac{3}{2}}}"," ",0,"-2*b^(3/2)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) + 2*sqrt(-b*x + 2)*b/sqrt(x) - 2/3*(-b*x + 2)^(3/2)/x^(3/2)","A",0
545,1,244,0,2.988856," ","integrate(x^(5/2)*(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{5 \, a^{6} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{1024 \, b^{\frac{7}{2}}} + \frac{\frac{15 \, \sqrt{b x + a} a^{6} b^{5}}{\sqrt{x}} - \frac{85 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{6} b^{4}}{x^{\frac{3}{2}}} + \frac{198 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{6} b^{3}}{x^{\frac{5}{2}}} + \frac{198 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{6} b^{2}}{x^{\frac{7}{2}}} - \frac{85 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{6} b}{x^{\frac{9}{2}}} + \frac{15 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{6}}{x^{\frac{11}{2}}}}{1536 \, {\left(b^{9} - \frac{6 \, {\left(b x + a\right)} b^{8}}{x} + \frac{15 \, {\left(b x + a\right)}^{2} b^{7}}{x^{2}} - \frac{20 \, {\left(b x + a\right)}^{3} b^{6}}{x^{3}} + \frac{15 \, {\left(b x + a\right)}^{4} b^{5}}{x^{4}} - \frac{6 \, {\left(b x + a\right)}^{5} b^{4}}{x^{5}} + \frac{{\left(b x + a\right)}^{6} b^{3}}{x^{6}}\right)}}"," ",0,"5/1024*a^6*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(7/2) + 1/1536*(15*sqrt(b*x + a)*a^6*b^5/sqrt(x) - 85*(b*x + a)^(3/2)*a^6*b^4/x^(3/2) + 198*(b*x + a)^(5/2)*a^6*b^3/x^(5/2) + 198*(b*x + a)^(7/2)*a^6*b^2/x^(7/2) - 85*(b*x + a)^(9/2)*a^6*b/x^(9/2) + 15*(b*x + a)^(11/2)*a^6/x^(11/2))/(b^9 - 6*(b*x + a)*b^8/x + 15*(b*x + a)^2*b^7/x^2 - 20*(b*x + a)^3*b^6/x^3 + 15*(b*x + a)^4*b^5/x^4 - 6*(b*x + a)^5*b^4/x^5 + (b*x + a)^6*b^3/x^6)","B",0
546,1,212,0,2.979040," ","integrate(x^(3/2)*(b*x+a)^(5/2),x, algorithm=""maxima"")","-\frac{3 \, a^{5} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{256 \, b^{\frac{5}{2}}} - \frac{\frac{15 \, \sqrt{b x + a} a^{5} b^{4}}{\sqrt{x}} - \frac{70 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} b^{3}}{x^{\frac{3}{2}}} + \frac{128 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{5} b^{2}}{x^{\frac{5}{2}}} + \frac{70 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{5} b}{x^{\frac{7}{2}}} - \frac{15 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{5}}{x^{\frac{9}{2}}}}{640 \, {\left(b^{7} - \frac{5 \, {\left(b x + a\right)} b^{6}}{x} + \frac{10 \, {\left(b x + a\right)}^{2} b^{5}}{x^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{4}}{x^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b^{3}}{x^{4}} - \frac{{\left(b x + a\right)}^{5} b^{2}}{x^{5}}\right)}}"," ",0,"-3/256*a^5*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(5/2) - 1/640*(15*sqrt(b*x + a)*a^5*b^4/sqrt(x) - 70*(b*x + a)^(3/2)*a^5*b^3/x^(3/2) + 128*(b*x + a)^(5/2)*a^5*b^2/x^(5/2) + 70*(b*x + a)^(7/2)*a^5*b/x^(7/2) - 15*(b*x + a)^(9/2)*a^5/x^(9/2))/(b^7 - 5*(b*x + a)*b^6/x + 10*(b*x + a)^2*b^5/x^2 - 10*(b*x + a)^3*b^4/x^3 + 5*(b*x + a)^4*b^3/x^4 - (b*x + a)^5*b^2/x^5)","B",0
547,1,176,0,2.980753," ","integrate((b*x+a)^(5/2)*x^(1/2),x, algorithm=""maxima"")","\frac{5 \, a^{4} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{128 \, b^{\frac{3}{2}}} + \frac{\frac{15 \, \sqrt{b x + a} a^{4} b^{3}}{\sqrt{x}} - \frac{55 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} b^{2}}{x^{\frac{3}{2}}} + \frac{73 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} b}{x^{\frac{5}{2}}} + \frac{15 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{4}}{x^{\frac{7}{2}}}}{192 \, {\left(b^{5} - \frac{4 \, {\left(b x + a\right)} b^{4}}{x} + \frac{6 \, {\left(b x + a\right)}^{2} b^{3}}{x^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b^{2}}{x^{3}} + \frac{{\left(b x + a\right)}^{4} b}{x^{4}}\right)}}"," ",0,"5/128*a^4*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(3/2) + 1/192*(15*sqrt(b*x + a)*a^4*b^3/sqrt(x) - 55*(b*x + a)^(3/2)*a^4*b^2/x^(3/2) + 73*(b*x + a)^(5/2)*a^4*b/x^(5/2) + 15*(b*x + a)^(7/2)*a^4/x^(7/2))/(b^5 - 4*(b*x + a)*b^4/x + 6*(b*x + a)^2*b^3/x^2 - 4*(b*x + a)^3*b^2/x^3 + (b*x + a)^4*b/x^4)","B",0
548,1,141,0,2.991391," ","integrate((b*x+a)^(5/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{5 \, a^{3} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{16 \, \sqrt{b}} - \frac{\frac{15 \, \sqrt{b x + a} a^{3} b^{2}}{\sqrt{x}} - \frac{40 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b}{x^{\frac{3}{2}}} + \frac{33 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3}}{x^{\frac{5}{2}}}}{24 \, {\left(b^{3} - \frac{3 \, {\left(b x + a\right)} b^{2}}{x} + \frac{3 \, {\left(b x + a\right)}^{2} b}{x^{2}} - \frac{{\left(b x + a\right)}^{3}}{x^{3}}\right)}}"," ",0,"-5/16*a^3*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/sqrt(b) - 1/24*(15*sqrt(b*x + a)*a^3*b^2/sqrt(x) - 40*(b*x + a)^(3/2)*a^3*b/x^(3/2) + 33*(b*x + a)^(5/2)*a^3/x^(5/2))/(b^3 - 3*(b*x + a)*b^2/x + 3*(b*x + a)^2*b/x^2 - (b*x + a)^3/x^3)","B",0
549,1,125,0,2.977303," ","integrate((b*x+a)^(5/2)/x^(3/2),x, algorithm=""maxima"")","-\frac{15}{8} \, a^{2} \sqrt{b} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right) - \frac{2 \, \sqrt{b x + a} a^{2}}{\sqrt{x}} - \frac{\frac{7 \, \sqrt{b x + a} a^{2} b^{2}}{\sqrt{x}} - \frac{9 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b}{x^{\frac{3}{2}}}}{4 \, {\left(b^{2} - \frac{2 \, {\left(b x + a\right)} b}{x} + \frac{{\left(b x + a\right)}^{2}}{x^{2}}\right)}}"," ",0,"-15/8*a^2*sqrt(b)*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x))) - 2*sqrt(b*x + a)*a^2/sqrt(x) - 1/4*(7*sqrt(b*x + a)*a^2*b^2/sqrt(x) - 9*(b*x + a)^(3/2)*a^2*b/x^(3/2))/(b^2 - 2*(b*x + a)*b/x + (b*x + a)^2/x^2)","A",0
550,1,100,0,2.949072," ","integrate((b*x+a)^(5/2)/x^(5/2),x, algorithm=""maxima"")","-\frac{5}{2} \, a b^{\frac{3}{2}} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right) - \frac{4 \, \sqrt{b x + a} a b}{\sqrt{x}} - \frac{\sqrt{b x + a} a b^{2}}{{\left(b - \frac{b x + a}{x}\right)} \sqrt{x}} - \frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} a}{3 \, x^{\frac{3}{2}}}"," ",0,"-5/2*a*b^(3/2)*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x))) - 4*sqrt(b*x + a)*a*b/sqrt(x) - sqrt(b*x + a)*a*b^2/((b - (b*x + a)/x)*sqrt(x)) - 2/3*(b*x + a)^(3/2)*a/x^(3/2)","A",0
551,1,242,0,2.864252," ","integrate(x^(5/2)*(-b*x+a)^(5/2),x, algorithm=""maxima"")","-\frac{5 \, a^{6} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{512 \, b^{\frac{7}{2}}} + \frac{\frac{15 \, \sqrt{-b x + a} a^{6} b^{5}}{\sqrt{x}} + \frac{85 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{6} b^{4}}{x^{\frac{3}{2}}} + \frac{198 \, {\left(-b x + a\right)}^{\frac{5}{2}} a^{6} b^{3}}{x^{\frac{5}{2}}} - \frac{198 \, {\left(-b x + a\right)}^{\frac{7}{2}} a^{6} b^{2}}{x^{\frac{7}{2}}} - \frac{85 \, {\left(-b x + a\right)}^{\frac{9}{2}} a^{6} b}{x^{\frac{9}{2}}} - \frac{15 \, {\left(-b x + a\right)}^{\frac{11}{2}} a^{6}}{x^{\frac{11}{2}}}}{1536 \, {\left(b^{9} - \frac{6 \, {\left(b x - a\right)} b^{8}}{x} + \frac{15 \, {\left(b x - a\right)}^{2} b^{7}}{x^{2}} - \frac{20 \, {\left(b x - a\right)}^{3} b^{6}}{x^{3}} + \frac{15 \, {\left(b x - a\right)}^{4} b^{5}}{x^{4}} - \frac{6 \, {\left(b x - a\right)}^{5} b^{4}}{x^{5}} + \frac{{\left(b x - a\right)}^{6} b^{3}}{x^{6}}\right)}}"," ",0,"-5/512*a^6*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(7/2) + 1/1536*(15*sqrt(-b*x + a)*a^6*b^5/sqrt(x) + 85*(-b*x + a)^(3/2)*a^6*b^4/x^(3/2) + 198*(-b*x + a)^(5/2)*a^6*b^3/x^(5/2) - 198*(-b*x + a)^(7/2)*a^6*b^2/x^(7/2) - 85*(-b*x + a)^(9/2)*a^6*b/x^(9/2) - 15*(-b*x + a)^(11/2)*a^6/x^(11/2))/(b^9 - 6*(b*x - a)*b^8/x + 15*(b*x - a)^2*b^7/x^2 - 20*(b*x - a)^3*b^6/x^3 + 15*(b*x - a)^4*b^5/x^4 - 6*(b*x - a)^5*b^4/x^5 + (b*x - a)^6*b^3/x^6)","A",0
552,1,207,0,3.008076," ","integrate(x^(3/2)*(-b*x+a)^(5/2),x, algorithm=""maxima"")","-\frac{3 \, a^{5} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{128 \, b^{\frac{5}{2}}} + \frac{\frac{15 \, \sqrt{-b x + a} a^{5} b^{4}}{\sqrt{x}} + \frac{70 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{5} b^{3}}{x^{\frac{3}{2}}} + \frac{128 \, {\left(-b x + a\right)}^{\frac{5}{2}} a^{5} b^{2}}{x^{\frac{5}{2}}} - \frac{70 \, {\left(-b x + a\right)}^{\frac{7}{2}} a^{5} b}{x^{\frac{7}{2}}} - \frac{15 \, {\left(-b x + a\right)}^{\frac{9}{2}} a^{5}}{x^{\frac{9}{2}}}}{640 \, {\left(b^{7} - \frac{5 \, {\left(b x - a\right)} b^{6}}{x} + \frac{10 \, {\left(b x - a\right)}^{2} b^{5}}{x^{2}} - \frac{10 \, {\left(b x - a\right)}^{3} b^{4}}{x^{3}} + \frac{5 \, {\left(b x - a\right)}^{4} b^{3}}{x^{4}} - \frac{{\left(b x - a\right)}^{5} b^{2}}{x^{5}}\right)}}"," ",0,"-3/128*a^5*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(5/2) + 1/640*(15*sqrt(-b*x + a)*a^5*b^4/sqrt(x) + 70*(-b*x + a)^(3/2)*a^5*b^3/x^(3/2) + 128*(-b*x + a)^(5/2)*a^5*b^2/x^(5/2) - 70*(-b*x + a)^(7/2)*a^5*b/x^(7/2) - 15*(-b*x + a)^(9/2)*a^5/x^(9/2))/(b^7 - 5*(b*x - a)*b^6/x + 10*(b*x - a)^2*b^5/x^2 - 10*(b*x - a)^3*b^4/x^3 + 5*(b*x - a)^4*b^3/x^4 - (b*x - a)^5*b^2/x^5)","A",0
553,1,168,0,3.046469," ","integrate((-b*x+a)^(5/2)*x^(1/2),x, algorithm=""maxima"")","-\frac{5 \, a^{4} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{64 \, b^{\frac{3}{2}}} + \frac{\frac{15 \, \sqrt{-b x + a} a^{4} b^{3}}{\sqrt{x}} + \frac{55 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{4} b^{2}}{x^{\frac{3}{2}}} + \frac{73 \, {\left(-b x + a\right)}^{\frac{5}{2}} a^{4} b}{x^{\frac{5}{2}}} - \frac{15 \, {\left(-b x + a\right)}^{\frac{7}{2}} a^{4}}{x^{\frac{7}{2}}}}{192 \, {\left(b^{5} - \frac{4 \, {\left(b x - a\right)} b^{4}}{x} + \frac{6 \, {\left(b x - a\right)}^{2} b^{3}}{x^{2}} - \frac{4 \, {\left(b x - a\right)}^{3} b^{2}}{x^{3}} + \frac{{\left(b x - a\right)}^{4} b}{x^{4}}\right)}}"," ",0,"-5/64*a^4*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(3/2) + 1/192*(15*sqrt(-b*x + a)*a^4*b^3/sqrt(x) + 55*(-b*x + a)^(3/2)*a^4*b^2/x^(3/2) + 73*(-b*x + a)^(5/2)*a^4*b/x^(5/2) - 15*(-b*x + a)^(7/2)*a^4/x^(7/2))/(b^5 - 4*(b*x - a)*b^4/x + 6*(b*x - a)^2*b^3/x^2 - 4*(b*x - a)^3*b^2/x^3 + (b*x - a)^4*b/x^4)","A",0
554,1,130,0,2.929856," ","integrate((-b*x+a)^(5/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{5 \, a^{3} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{8 \, \sqrt{b}} + \frac{\frac{15 \, \sqrt{-b x + a} a^{3} b^{2}}{\sqrt{x}} + \frac{40 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{3} b}{x^{\frac{3}{2}}} + \frac{33 \, {\left(-b x + a\right)}^{\frac{5}{2}} a^{3}}{x^{\frac{5}{2}}}}{24 \, {\left(b^{3} - \frac{3 \, {\left(b x - a\right)} b^{2}}{x} + \frac{3 \, {\left(b x - a\right)}^{2} b}{x^{2}} - \frac{{\left(b x - a\right)}^{3}}{x^{3}}\right)}}"," ",0,"-5/8*a^3*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/sqrt(b) + 1/24*(15*sqrt(-b*x + a)*a^3*b^2/sqrt(x) + 40*(-b*x + a)^(3/2)*a^3*b/x^(3/2) + 33*(-b*x + a)^(5/2)*a^3/x^(5/2))/(b^3 - 3*(b*x - a)*b^2/x + 3*(b*x - a)^2*b/x^2 - (b*x - a)^3/x^3)","A",0
555,1,112,0,2.991839," ","integrate((-b*x+a)^(5/2)/x^(3/2),x, algorithm=""maxima"")","\frac{15}{4} \, a^{2} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - \frac{2 \, \sqrt{-b x + a} a^{2}}{\sqrt{x}} - \frac{\frac{7 \, \sqrt{-b x + a} a^{2} b^{2}}{\sqrt{x}} + \frac{9 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{2} b}{x^{\frac{3}{2}}}}{4 \, {\left(b^{2} - \frac{2 \, {\left(b x - a\right)} b}{x} + \frac{{\left(b x - a\right)}^{2}}{x^{2}}\right)}}"," ",0,"15/4*a^2*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - 2*sqrt(-b*x + a)*a^2/sqrt(x) - 1/4*(7*sqrt(-b*x + a)*a^2*b^2/sqrt(x) + 9*(-b*x + a)^(3/2)*a^2*b/x^(3/2))/(b^2 - 2*(b*x - a)*b/x + (b*x - a)^2/x^2)","A",0
556,1,84,0,3.000248," ","integrate((-b*x+a)^(5/2)/x^(5/2),x, algorithm=""maxima"")","-5 \, a b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + \frac{4 \, \sqrt{-b x + a} a b}{\sqrt{x}} + \frac{\sqrt{-b x + a} a b^{2}}{{\left(b - \frac{b x - a}{x}\right)} \sqrt{x}} - \frac{2 \, {\left(-b x + a\right)}^{\frac{3}{2}} a}{3 \, x^{\frac{3}{2}}}"," ",0,"-5*a*b^(3/2)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + 4*sqrt(-b*x + a)*a*b/sqrt(x) + sqrt(-b*x + a)*a*b^2/((b - (b*x - a)/x)*sqrt(x)) - 2/3*(-b*x + a)^(3/2)*a/x^(3/2)","A",0
557,1,223,0,2.976703," ","integrate(x^(5/2)*(b*x+2)^(5/2),x, algorithm=""maxima"")","\frac{\frac{15 \, \sqrt{b x + 2} b^{5}}{\sqrt{x}} - \frac{85 \, {\left(b x + 2\right)}^{\frac{3}{2}} b^{4}}{x^{\frac{3}{2}}} + \frac{198 \, {\left(b x + 2\right)}^{\frac{5}{2}} b^{3}}{x^{\frac{5}{2}}} + \frac{198 \, {\left(b x + 2\right)}^{\frac{7}{2}} b^{2}}{x^{\frac{7}{2}}} - \frac{85 \, {\left(b x + 2\right)}^{\frac{9}{2}} b}{x^{\frac{9}{2}}} + \frac{15 \, {\left(b x + 2\right)}^{\frac{11}{2}}}{x^{\frac{11}{2}}}}{24 \, {\left(b^{9} - \frac{6 \, {\left(b x + 2\right)} b^{8}}{x} + \frac{15 \, {\left(b x + 2\right)}^{2} b^{7}}{x^{2}} - \frac{20 \, {\left(b x + 2\right)}^{3} b^{6}}{x^{3}} + \frac{15 \, {\left(b x + 2\right)}^{4} b^{5}}{x^{4}} - \frac{6 \, {\left(b x + 2\right)}^{5} b^{4}}{x^{5}} + \frac{{\left(b x + 2\right)}^{6} b^{3}}{x^{6}}\right)}} + \frac{5 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{16 \, b^{\frac{7}{2}}}"," ",0,"1/24*(15*sqrt(b*x + 2)*b^5/sqrt(x) - 85*(b*x + 2)^(3/2)*b^4/x^(3/2) + 198*(b*x + 2)^(5/2)*b^3/x^(5/2) + 198*(b*x + 2)^(7/2)*b^2/x^(7/2) - 85*(b*x + 2)^(9/2)*b/x^(9/2) + 15*(b*x + 2)^(11/2)/x^(11/2))/(b^9 - 6*(b*x + 2)*b^8/x + 15*(b*x + 2)^2*b^7/x^2 - 20*(b*x + 2)^3*b^6/x^3 + 15*(b*x + 2)^4*b^5/x^4 - 6*(b*x + 2)^5*b^4/x^5 + (b*x + 2)^6*b^3/x^6) + 5/16*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(7/2)","B",0
558,1,194,0,2.943093," ","integrate(x^(3/2)*(b*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{\frac{15 \, \sqrt{b x + 2} b^{4}}{\sqrt{x}} - \frac{70 \, {\left(b x + 2\right)}^{\frac{3}{2}} b^{3}}{x^{\frac{3}{2}}} + \frac{128 \, {\left(b x + 2\right)}^{\frac{5}{2}} b^{2}}{x^{\frac{5}{2}}} + \frac{70 \, {\left(b x + 2\right)}^{\frac{7}{2}} b}{x^{\frac{7}{2}}} - \frac{15 \, {\left(b x + 2\right)}^{\frac{9}{2}}}{x^{\frac{9}{2}}}}{20 \, {\left(b^{7} - \frac{5 \, {\left(b x + 2\right)} b^{6}}{x} + \frac{10 \, {\left(b x + 2\right)}^{2} b^{5}}{x^{2}} - \frac{10 \, {\left(b x + 2\right)}^{3} b^{4}}{x^{3}} + \frac{5 \, {\left(b x + 2\right)}^{4} b^{3}}{x^{4}} - \frac{{\left(b x + 2\right)}^{5} b^{2}}{x^{5}}\right)}} - \frac{3 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{8 \, b^{\frac{5}{2}}}"," ",0,"-1/20*(15*sqrt(b*x + 2)*b^4/sqrt(x) - 70*(b*x + 2)^(3/2)*b^3/x^(3/2) + 128*(b*x + 2)^(5/2)*b^2/x^(5/2) + 70*(b*x + 2)^(7/2)*b/x^(7/2) - 15*(b*x + 2)^(9/2)/x^(9/2))/(b^7 - 5*(b*x + 2)*b^6/x + 10*(b*x + 2)^2*b^5/x^2 - 10*(b*x + 2)^3*b^4/x^3 + 5*(b*x + 2)^4*b^3/x^4 - (b*x + 2)^5*b^2/x^5) - 3/8*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(5/2)","B",0
559,1,161,0,2.985785," ","integrate((b*x+2)^(5/2)*x^(1/2),x, algorithm=""maxima"")","\frac{\frac{15 \, \sqrt{b x + 2} b^{3}}{\sqrt{x}} - \frac{55 \, {\left(b x + 2\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}} + \frac{73 \, {\left(b x + 2\right)}^{\frac{5}{2}} b}{x^{\frac{5}{2}}} + \frac{15 \, {\left(b x + 2\right)}^{\frac{7}{2}}}{x^{\frac{7}{2}}}}{12 \, {\left(b^{5} - \frac{4 \, {\left(b x + 2\right)} b^{4}}{x} + \frac{6 \, {\left(b x + 2\right)}^{2} b^{3}}{x^{2}} - \frac{4 \, {\left(b x + 2\right)}^{3} b^{2}}{x^{3}} + \frac{{\left(b x + 2\right)}^{4} b}{x^{4}}\right)}} + \frac{5 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{8 \, b^{\frac{3}{2}}}"," ",0,"1/12*(15*sqrt(b*x + 2)*b^3/sqrt(x) - 55*(b*x + 2)^(3/2)*b^2/x^(3/2) + 73*(b*x + 2)^(5/2)*b/x^(5/2) + 15*(b*x + 2)^(7/2)/x^(7/2))/(b^5 - 4*(b*x + 2)*b^4/x + 6*(b*x + 2)^2*b^3/x^2 - 4*(b*x + 2)^3*b^2/x^3 + (b*x + 2)^4*b/x^4) + 5/8*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(3/2)","B",0
560,1,129,0,3.028341," ","integrate((b*x+2)^(5/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{5 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{2 \, \sqrt{b}} - \frac{\frac{15 \, \sqrt{b x + 2} b^{2}}{\sqrt{x}} - \frac{40 \, {\left(b x + 2\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}} + \frac{33 \, {\left(b x + 2\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}}}{3 \, {\left(b^{3} - \frac{3 \, {\left(b x + 2\right)} b^{2}}{x} + \frac{3 \, {\left(b x + 2\right)}^{2} b}{x^{2}} - \frac{{\left(b x + 2\right)}^{3}}{x^{3}}\right)}}"," ",0,"-5/2*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/sqrt(b) - 1/3*(15*sqrt(b*x + 2)*b^2/sqrt(x) - 40*(b*x + 2)^(3/2)*b/x^(3/2) + 33*(b*x + 2)^(5/2)/x^(5/2))/(b^3 - 3*(b*x + 2)*b^2/x + 3*(b*x + 2)^2*b/x^2 - (b*x + 2)^3/x^3)","B",0
561,1,113,0,2.942875," ","integrate((b*x+2)^(5/2)/x^(3/2),x, algorithm=""maxima"")","-\frac{15}{2} \, \sqrt{b} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right) - \frac{\frac{7 \, \sqrt{b x + 2} b^{2}}{\sqrt{x}} - \frac{9 \, {\left(b x + 2\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}}}{b^{2} - \frac{2 \, {\left(b x + 2\right)} b}{x} + \frac{{\left(b x + 2\right)}^{2}}{x^{2}}} - \frac{8 \, \sqrt{b x + 2}}{\sqrt{x}}"," ",0,"-15/2*sqrt(b)*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x))) - (7*sqrt(b*x + 2)*b^2/sqrt(x) - 9*(b*x + 2)^(3/2)*b/x^(3/2))/(b^2 - 2*(b*x + 2)*b/x + (b*x + 2)^2/x^2) - 8*sqrt(b*x + 2)/sqrt(x)","B",0
562,1,96,0,2.944561," ","integrate((b*x+2)^(5/2)/x^(5/2),x, algorithm=""maxima"")","-5 \, b^{\frac{3}{2}} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right) - \frac{8 \, \sqrt{b x + 2} b}{\sqrt{x}} - \frac{2 \, \sqrt{b x + 2} b^{2}}{{\left(b - \frac{b x + 2}{x}\right)} \sqrt{x}} - \frac{4 \, {\left(b x + 2\right)}^{\frac{3}{2}}}{3 \, x^{\frac{3}{2}}}"," ",0,"-5*b^(3/2)*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x))) - 8*sqrt(b*x + 2)*b/sqrt(x) - 2*sqrt(b*x + 2)*b^2/((b - (b*x + 2)/x)*sqrt(x)) - 4/3*(b*x + 2)^(3/2)/x^(3/2)","A",0
563,1,209,0,2.959584," ","integrate(x^(5/2)*(-b*x+2)^(5/2),x, algorithm=""maxima"")","\frac{\frac{15 \, \sqrt{-b x + 2} b^{5}}{\sqrt{x}} + \frac{85 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b^{4}}{x^{\frac{3}{2}}} + \frac{198 \, {\left(-b x + 2\right)}^{\frac{5}{2}} b^{3}}{x^{\frac{5}{2}}} - \frac{198 \, {\left(-b x + 2\right)}^{\frac{7}{2}} b^{2}}{x^{\frac{7}{2}}} - \frac{85 \, {\left(-b x + 2\right)}^{\frac{9}{2}} b}{x^{\frac{9}{2}}} - \frac{15 \, {\left(-b x + 2\right)}^{\frac{11}{2}}}{x^{\frac{11}{2}}}}{24 \, {\left(b^{9} - \frac{6 \, {\left(b x - 2\right)} b^{8}}{x} + \frac{15 \, {\left(b x - 2\right)}^{2} b^{7}}{x^{2}} - \frac{20 \, {\left(b x - 2\right)}^{3} b^{6}}{x^{3}} + \frac{15 \, {\left(b x - 2\right)}^{4} b^{5}}{x^{4}} - \frac{6 \, {\left(b x - 2\right)}^{5} b^{4}}{x^{5}} + \frac{{\left(b x - 2\right)}^{6} b^{3}}{x^{6}}\right)}} - \frac{5 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{8 \, b^{\frac{7}{2}}}"," ",0,"1/24*(15*sqrt(-b*x + 2)*b^5/sqrt(x) + 85*(-b*x + 2)^(3/2)*b^4/x^(3/2) + 198*(-b*x + 2)^(5/2)*b^3/x^(5/2) - 198*(-b*x + 2)^(7/2)*b^2/x^(7/2) - 85*(-b*x + 2)^(9/2)*b/x^(9/2) - 15*(-b*x + 2)^(11/2)/x^(11/2))/(b^9 - 6*(b*x - 2)*b^8/x + 15*(b*x - 2)^2*b^7/x^2 - 20*(b*x - 2)^3*b^6/x^3 + 15*(b*x - 2)^4*b^5/x^4 - 6*(b*x - 2)^5*b^4/x^5 + (b*x - 2)^6*b^3/x^6) - 5/8*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(7/2)","A",0
564,1,179,0,3.013229," ","integrate(x^(3/2)*(-b*x+2)^(5/2),x, algorithm=""maxima"")","\frac{\frac{15 \, \sqrt{-b x + 2} b^{4}}{\sqrt{x}} + \frac{70 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b^{3}}{x^{\frac{3}{2}}} + \frac{128 \, {\left(-b x + 2\right)}^{\frac{5}{2}} b^{2}}{x^{\frac{5}{2}}} - \frac{70 \, {\left(-b x + 2\right)}^{\frac{7}{2}} b}{x^{\frac{7}{2}}} - \frac{15 \, {\left(-b x + 2\right)}^{\frac{9}{2}}}{x^{\frac{9}{2}}}}{20 \, {\left(b^{7} - \frac{5 \, {\left(b x - 2\right)} b^{6}}{x} + \frac{10 \, {\left(b x - 2\right)}^{2} b^{5}}{x^{2}} - \frac{10 \, {\left(b x - 2\right)}^{3} b^{4}}{x^{3}} + \frac{5 \, {\left(b x - 2\right)}^{4} b^{3}}{x^{4}} - \frac{{\left(b x - 2\right)}^{5} b^{2}}{x^{5}}\right)}} - \frac{3 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{4 \, b^{\frac{5}{2}}}"," ",0,"1/20*(15*sqrt(-b*x + 2)*b^4/sqrt(x) + 70*(-b*x + 2)^(3/2)*b^3/x^(3/2) + 128*(-b*x + 2)^(5/2)*b^2/x^(5/2) - 70*(-b*x + 2)^(7/2)*b/x^(7/2) - 15*(-b*x + 2)^(9/2)/x^(9/2))/(b^7 - 5*(b*x - 2)*b^6/x + 10*(b*x - 2)^2*b^5/x^2 - 10*(b*x - 2)^3*b^4/x^3 + 5*(b*x - 2)^4*b^3/x^4 - (b*x - 2)^5*b^2/x^5) - 3/4*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(5/2)","B",0
565,1,145,0,2.887224," ","integrate((-b*x+2)^(5/2)*x^(1/2),x, algorithm=""maxima"")","\frac{\frac{15 \, \sqrt{-b x + 2} b^{3}}{\sqrt{x}} + \frac{55 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}} + \frac{73 \, {\left(-b x + 2\right)}^{\frac{5}{2}} b}{x^{\frac{5}{2}}} - \frac{15 \, {\left(-b x + 2\right)}^{\frac{7}{2}}}{x^{\frac{7}{2}}}}{12 \, {\left(b^{5} - \frac{4 \, {\left(b x - 2\right)} b^{4}}{x} + \frac{6 \, {\left(b x - 2\right)}^{2} b^{3}}{x^{2}} - \frac{4 \, {\left(b x - 2\right)}^{3} b^{2}}{x^{3}} + \frac{{\left(b x - 2\right)}^{4} b}{x^{4}}\right)}} - \frac{5 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{4 \, b^{\frac{3}{2}}}"," ",0,"1/12*(15*sqrt(-b*x + 2)*b^3/sqrt(x) + 55*(-b*x + 2)^(3/2)*b^2/x^(3/2) + 73*(-b*x + 2)^(5/2)*b/x^(5/2) - 15*(-b*x + 2)^(7/2)/x^(7/2))/(b^5 - 4*(b*x - 2)*b^4/x + 6*(b*x - 2)^2*b^3/x^2 - 4*(b*x - 2)^3*b^2/x^3 + (b*x - 2)^4*b/x^4) - 5/4*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(3/2)","A",0
566,1,112,0,2.975924," ","integrate((-b*x+2)^(5/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{5 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{\sqrt{b}} + \frac{\frac{15 \, \sqrt{-b x + 2} b^{2}}{\sqrt{x}} + \frac{40 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}} + \frac{33 \, {\left(-b x + 2\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}}}{3 \, {\left(b^{3} - \frac{3 \, {\left(b x - 2\right)} b^{2}}{x} + \frac{3 \, {\left(b x - 2\right)}^{2} b}{x^{2}} - \frac{{\left(b x - 2\right)}^{3}}{x^{3}}\right)}}"," ",0,"-5*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/sqrt(b) + 1/3*(15*sqrt(-b*x + 2)*b^2/sqrt(x) + 40*(-b*x + 2)^(3/2)*b/x^(3/2) + 33*(-b*x + 2)^(5/2)/x^(5/2))/(b^3 - 3*(b*x - 2)*b^2/x + 3*(b*x - 2)^2*b/x^2 - (b*x - 2)^3/x^3)","A",0
567,1,96,0,2.923271," ","integrate((-b*x+2)^(5/2)/x^(3/2),x, algorithm=""maxima"")","15 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) - \frac{\frac{7 \, \sqrt{-b x + 2} b^{2}}{\sqrt{x}} + \frac{9 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}}}{b^{2} - \frac{2 \, {\left(b x - 2\right)} b}{x} + \frac{{\left(b x - 2\right)}^{2}}{x^{2}}} - \frac{8 \, \sqrt{-b x + 2}}{\sqrt{x}}"," ",0,"15*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) - (7*sqrt(-b*x + 2)*b^2/sqrt(x) + 9*(-b*x + 2)^(3/2)*b/x^(3/2))/(b^2 - 2*(b*x - 2)*b/x + (b*x - 2)^2/x^2) - 8*sqrt(-b*x + 2)/sqrt(x)","A",0
568,1,79,0,2.888423," ","integrate((-b*x+2)^(5/2)/x^(5/2),x, algorithm=""maxima"")","-10 \, b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) + \frac{8 \, \sqrt{-b x + 2} b}{\sqrt{x}} + \frac{2 \, \sqrt{-b x + 2} b^{2}}{{\left(b - \frac{b x - 2}{x}\right)} \sqrt{x}} - \frac{4 \, {\left(-b x + 2\right)}^{\frac{3}{2}}}{3 \, x^{\frac{3}{2}}}"," ",0,"-10*b^(3/2)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) + 8*sqrt(-b*x + 2)*b/sqrt(x) + 2*sqrt(-b*x + 2)*b^2/((b - (b*x - 2)/x)*sqrt(x)) - 4/3*(-b*x + 2)^(3/2)/x^(3/2)","A",0
569,1,146,0,3.013647," ","integrate(x^(5/2)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{5 \, a^{3} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{16 \, b^{\frac{7}{2}}} - \frac{\frac{33 \, \sqrt{b x + a} a^{3} b^{2}}{\sqrt{x}} - \frac{40 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b}{x^{\frac{3}{2}}} + \frac{15 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3}}{x^{\frac{5}{2}}}}{24 \, {\left(b^{6} - \frac{3 \, {\left(b x + a\right)} b^{5}}{x} + \frac{3 \, {\left(b x + a\right)}^{2} b^{4}}{x^{2}} - \frac{{\left(b x + a\right)}^{3} b^{3}}{x^{3}}\right)}}"," ",0,"5/16*a^3*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(7/2) - 1/24*(33*sqrt(b*x + a)*a^3*b^2/sqrt(x) - 40*(b*x + a)^(3/2)*a^3*b/x^(3/2) + 15*(b*x + a)^(5/2)*a^3/x^(5/2))/(b^6 - 3*(b*x + a)*b^5/x + 3*(b*x + a)^2*b^4/x^2 - (b*x + a)^3*b^3/x^3)","A",0
570,1,112,0,2.866750," ","integrate(x^(3/2)/(b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, a^{2} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{8 \, b^{\frac{5}{2}}} + \frac{\frac{5 \, \sqrt{b x + a} a^{2} b}{\sqrt{x}} - \frac{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2}}{x^{\frac{3}{2}}}}{4 \, {\left(b^{4} - \frac{2 \, {\left(b x + a\right)} b^{3}}{x} + \frac{{\left(b x + a\right)}^{2} b^{2}}{x^{2}}\right)}}"," ",0,"-3/8*a^2*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(5/2) + 1/4*(5*sqrt(b*x + a)*a^2*b/sqrt(x) - 3*(b*x + a)^(3/2)*a^2/x^(3/2))/(b^4 - 2*(b*x + a)*b^3/x + (b*x + a)^2*b^2/x^2)","B",0
571,1,73,0,2.913404," ","integrate(x^(1/2)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{a \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{2 \, b^{\frac{3}{2}}} - \frac{\sqrt{b x + a} a}{{\left(b^{2} - \frac{{\left(b x + a\right)} b}{x}\right)} \sqrt{x}}"," ",0,"1/2*a*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(3/2) - sqrt(b*x + a)*a/((b^2 - (b*x + a)*b/x)*sqrt(x))","B",0
572,1,41,0,2.953076," ","integrate(1/x^(1/2)/(b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{\sqrt{b}}"," ",0,"-log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/sqrt(b)","B",0
573,1,15,0,1.341900," ","integrate(1/x^(3/2)/(b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{b x + a}}{a \sqrt{x}}"," ",0,"-2*sqrt(b*x + a)/(a*sqrt(x))","A",0
574,1,31,0,1.299230," ","integrate(1/x^(5/2)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, \sqrt{b x + a} b}{\sqrt{x}} - \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}\right)}}{3 \, a^{2}}"," ",0,"2/3*(3*sqrt(b*x + a)*b/sqrt(x) - (b*x + a)^(3/2)/x^(3/2))/a^2","A",0
575,1,46,0,1.336862," ","integrate(1/x^(7/2)/(b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{15 \, \sqrt{b x + a} b^{2}}{\sqrt{x}} - \frac{10 \, {\left(b x + a\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}} + \frac{3 \, {\left(b x + a\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}}\right)}}{15 \, a^{3}}"," ",0,"-2/15*(15*sqrt(b*x + a)*b^2/sqrt(x) - 10*(b*x + a)^(3/2)*b/x^(3/2) + 3*(b*x + a)^(5/2)/x^(5/2))/a^3","A",0
576,1,61,0,1.303604," ","integrate(1/x^(9/2)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, \sqrt{b x + a} b^{3}}{\sqrt{x}} - \frac{35 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}} + \frac{21 \, {\left(b x + a\right)}^{\frac{5}{2}} b}{x^{\frac{5}{2}}} - \frac{5 \, {\left(b x + a\right)}^{\frac{7}{2}}}{x^{\frac{7}{2}}}\right)}}{35 \, a^{4}}"," ",0,"2/35*(35*sqrt(b*x + a)*b^3/sqrt(x) - 35*(b*x + a)^(3/2)*b^2/x^(3/2) + 21*(b*x + a)^(5/2)*b/x^(5/2) - 5*(b*x + a)^(7/2)/x^(7/2))/a^4","A",0
577,1,131,0,2.924020," ","integrate(x^(5/2)/(b*x+a)^(3/2),x, algorithm=""maxima"")","-\frac{8 \, a^{2} b^{2} - \frac{25 \, {\left(b x + a\right)} a^{2} b}{x} + \frac{15 \, {\left(b x + a\right)}^{2} a^{2}}{x^{2}}}{4 \, {\left(\frac{\sqrt{b x + a} b^{5}}{\sqrt{x}} - \frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{4}}{x^{\frac{3}{2}}} + \frac{{\left(b x + a\right)}^{\frac{5}{2}} b^{3}}{x^{\frac{5}{2}}}\right)}} - \frac{15 \, a^{2} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{8 \, b^{\frac{7}{2}}}"," ",0,"-1/4*(8*a^2*b^2 - 25*(b*x + a)*a^2*b/x + 15*(b*x + a)^2*a^2/x^2)/(sqrt(b*x + a)*b^5/sqrt(x) - 2*(b*x + a)^(3/2)*b^4/x^(3/2) + (b*x + a)^(5/2)*b^3/x^(5/2)) - 15/8*a^2*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(7/2)","A",0
578,1,92,0,3.019300," ","integrate(x^(3/2)/(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, a b - \frac{3 \, {\left(b x + a\right)} a}{x}}{\frac{\sqrt{b x + a} b^{3}}{\sqrt{x}} - \frac{{\left(b x + a\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}}} + \frac{3 \, a \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{2 \, b^{\frac{5}{2}}}"," ",0,"(2*a*b - 3*(b*x + a)*a/x)/(sqrt(b*x + a)*b^3/sqrt(x) - (b*x + a)^(3/2)*b^2/x^(3/2)) + 3/2*a*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(5/2)","A",0
579,1,57,0,2.980528," ","integrate(x^(1/2)/(b*x+a)^(3/2),x, algorithm=""maxima"")","-\frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{b^{\frac{3}{2}}} - \frac{2 \, \sqrt{x}}{\sqrt{b x + a} b}"," ",0,"-log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(3/2) - 2*sqrt(x)/(sqrt(b*x + a)*b)","A",0
580,1,15,0,1.321325," ","integrate(1/(b*x+a)^(3/2)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{x}}{\sqrt{b x + a} a}"," ",0,"2*sqrt(x)/(sqrt(b*x + a)*a)","A",0
581,1,32,0,1.320049," ","integrate(1/x^(3/2)/(b*x+a)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, b \sqrt{x}}{\sqrt{b x + a} a^{2}} - \frac{2 \, \sqrt{b x + a}}{a^{2} \sqrt{x}}"," ",0,"-2*b*sqrt(x)/(sqrt(b*x + a)*a^2) - 2*sqrt(b*x + a)/(a^2*sqrt(x))","A",0
582,1,50,0,1.309779," ","integrate(1/x^(5/2)/(b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, b^{2} \sqrt{x}}{\sqrt{b x + a} a^{3}} + \frac{2 \, {\left(\frac{6 \, \sqrt{b x + a} b}{\sqrt{x}} - \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}\right)}}{3 \, a^{3}}"," ",0,"2*b^2*sqrt(x)/(sqrt(b*x + a)*a^3) + 2/3*(6*sqrt(b*x + a)*b/sqrt(x) - (b*x + a)^(3/2)/x^(3/2))/a^3","A",0
583,1,64,0,1.309017," ","integrate(1/x^(7/2)/(b*x+a)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, b^{3} \sqrt{x}}{\sqrt{b x + a} a^{4}} - \frac{2 \, {\left(\frac{15 \, \sqrt{b x + a} b^{2}}{\sqrt{x}} - \frac{5 \, {\left(b x + a\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}} + \frac{{\left(b x + a\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}}\right)}}{5 \, a^{4}}"," ",0,"-2*b^3*sqrt(x)/(sqrt(b*x + a)*a^4) - 2/5*(15*sqrt(b*x + a)*b^2/sqrt(x) - 5*(b*x + a)^(3/2)*b/x^(3/2) + (b*x + a)^(5/2)/x^(5/2))/a^4","A",0
584,1,109,0,2.939267," ","integrate(x^(5/2)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, a b^{2} + \frac{10 \, {\left(b x + a\right)} a b}{x} - \frac{15 \, {\left(b x + a\right)}^{2} a}{x^{2}}}{3 \, {\left(\frac{{\left(b x + a\right)}^{\frac{3}{2}} b^{4}}{x^{\frac{3}{2}}} - \frac{{\left(b x + a\right)}^{\frac{5}{2}} b^{3}}{x^{\frac{5}{2}}}\right)}} + \frac{5 \, a \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{2 \, b^{\frac{7}{2}}}"," ",0,"1/3*(2*a*b^2 + 10*(b*x + a)*a*b/x - 15*(b*x + a)^2*a/x^2)/((b*x + a)^(3/2)*b^4/x^(3/2) - (b*x + a)^(5/2)*b^3/x^(5/2)) + 5/2*a*log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(7/2)","A",0
585,1,69,0,2.825525," ","integrate(x^(3/2)/(b*x+a)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(b + \frac{3 \, {\left(b x + a\right)}}{x}\right)} x^{\frac{3}{2}}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2}} - \frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + a}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + a}}{\sqrt{x}}}\right)}{b^{\frac{5}{2}}}"," ",0,"-2/3*(b + 3*(b*x + a)/x)*x^(3/2)/((b*x + a)^(3/2)*b^2) - log(-(sqrt(b) - sqrt(b*x + a)/sqrt(x))/(sqrt(b) + sqrt(b*x + a)/sqrt(x)))/b^(5/2)","A",0
586,1,15,0,1.328143," ","integrate(x^(1/2)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, x^{\frac{3}{2}}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a}"," ",0,"2/3*x^(3/2)/((b*x + a)^(3/2)*a)","A",0
587,1,27,0,1.344054," ","integrate(1/(b*x+a)^(5/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(b - \frac{3 \, {\left(b x + a\right)}}{x}\right)} x^{\frac{3}{2}}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2}}"," ",0,"-2/3*(b - 3*(b*x + a)/x)*x^(3/2)/((b*x + a)^(3/2)*a^2)","A",0
588,1,46,0,1.340396," ","integrate(1/x^(3/2)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{2} - \frac{6 \, {\left(b x + a\right)} b}{x}\right)} x^{\frac{3}{2}}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3}} - \frac{2 \, \sqrt{b x + a}}{a^{3} \sqrt{x}}"," ",0,"2/3*(b^2 - 6*(b*x + a)*b/x)*x^(3/2)/((b*x + a)^(3/2)*a^3) - 2*sqrt(b*x + a)/(a^3*sqrt(x))","A",0
589,1,64,0,1.267920," ","integrate(1/x^(5/2)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{9 \, \sqrt{b x + a} b}{\sqrt{x}} - \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}\right)}}{3 \, a^{4}} - \frac{2 \, {\left(b^{3} - \frac{9 \, {\left(b x + a\right)} b^{2}}{x}\right)} x^{\frac{3}{2}}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4}}"," ",0,"2/3*(9*sqrt(b*x + a)*b/sqrt(x) - (b*x + a)^(3/2)/x^(3/2))/a^4 - 2/3*(b^3 - 9*(b*x + a)*b^2/x)*x^(3/2)/((b*x + a)^(3/2)*a^4)","A",0
590,1,135,0,2.963592," ","integrate(x^(5/2)/(-b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{5 \, a^{3} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{8 \, b^{\frac{7}{2}}} - \frac{\frac{33 \, \sqrt{-b x + a} a^{3} b^{2}}{\sqrt{x}} + \frac{40 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{3} b}{x^{\frac{3}{2}}} + \frac{15 \, {\left(-b x + a\right)}^{\frac{5}{2}} a^{3}}{x^{\frac{5}{2}}}}{24 \, {\left(b^{6} - \frac{3 \, {\left(b x - a\right)} b^{5}}{x} + \frac{3 \, {\left(b x - a\right)}^{2} b^{4}}{x^{2}} - \frac{{\left(b x - a\right)}^{3} b^{3}}{x^{3}}\right)}}"," ",0,"-5/8*a^3*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(7/2) - 1/24*(33*sqrt(-b*x + a)*a^3*b^2/sqrt(x) + 40*(-b*x + a)^(3/2)*a^3*b/x^(3/2) + 15*(-b*x + a)^(5/2)*a^3/x^(5/2))/(b^6 - 3*(b*x - a)*b^5/x + 3*(b*x - a)^2*b^4/x^2 - (b*x - a)^3*b^3/x^3)","A",0
591,1,98,0,2.959925," ","integrate(x^(3/2)/(-b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, a^{2} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{4 \, b^{\frac{5}{2}}} - \frac{\frac{5 \, \sqrt{-b x + a} a^{2} b}{\sqrt{x}} + \frac{3 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{2}}{x^{\frac{3}{2}}}}{4 \, {\left(b^{4} - \frac{2 \, {\left(b x - a\right)} b^{3}}{x} + \frac{{\left(b x - a\right)}^{2} b^{2}}{x^{2}}\right)}}"," ",0,"-3/4*a^2*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(5/2) - 1/4*(5*sqrt(-b*x + a)*a^2*b/sqrt(x) + 3*(-b*x + a)^(3/2)*a^2/x^(3/2))/(b^4 - 2*(b*x - a)*b^3/x + (b*x - a)^2*b^2/x^2)","A",0
592,1,56,0,3.004497," ","integrate(x^(1/2)/(-b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{a \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{3}{2}}} - \frac{\sqrt{-b x + a} a}{{\left(b^{2} - \frac{{\left(b x - a\right)} b}{x}\right)} \sqrt{x}}"," ",0,"-a*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(3/2) - sqrt(-b*x + a)*a/((b^2 - (b*x - a)*b/x)*sqrt(x))","A",0
593,1,21,0,2.882800," ","integrate(1/x^(1/2)/(-b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{\sqrt{b}}"," ",0,"-2*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/sqrt(b)","A",0
594,1,16,0,1.340739," ","integrate(1/x^(3/2)/(-b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-b x + a}}{a \sqrt{x}}"," ",0,"-2*sqrt(-b*x + a)/(a*sqrt(x))","A",0
595,1,32,0,1.302004," ","integrate(1/x^(5/2)/(-b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{3 \, \sqrt{-b x + a} b}{\sqrt{x}} + \frac{{\left(-b x + a\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}\right)}}{3 \, a^{2}}"," ",0,"-2/3*(3*sqrt(-b*x + a)*b/sqrt(x) + (-b*x + a)^(3/2)/x^(3/2))/a^2","A",0
596,1,118,0,2.921743," ","integrate(x^(5/2)/(-b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{8 \, a^{2} b^{2} - \frac{25 \, {\left(b x - a\right)} a^{2} b}{x} + \frac{15 \, {\left(b x - a\right)}^{2} a^{2}}{x^{2}}}{4 \, {\left(\frac{\sqrt{-b x + a} b^{5}}{\sqrt{x}} + \frac{2 \, {\left(-b x + a\right)}^{\frac{3}{2}} b^{4}}{x^{\frac{3}{2}}} + \frac{{\left(-b x + a\right)}^{\frac{5}{2}} b^{3}}{x^{\frac{5}{2}}}\right)}} + \frac{15 \, a^{2} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{4 \, b^{\frac{7}{2}}}"," ",0,"1/4*(8*a^2*b^2 - 25*(b*x - a)*a^2*b/x + 15*(b*x - a)^2*a^2/x^2)/(sqrt(-b*x + a)*b^5/sqrt(x) + 2*(-b*x + a)^(3/2)*b^4/x^(3/2) + (-b*x + a)^(5/2)*b^3/x^(5/2)) + 15/4*a^2*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(7/2)","A",0
597,1,75,0,2.951883," ","integrate(x^(3/2)/(-b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, a b - \frac{3 \, {\left(b x - a\right)} a}{x}}{\frac{\sqrt{-b x + a} b^{3}}{\sqrt{x}} + \frac{{\left(-b x + a\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}}} + \frac{3 \, a \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{5}{2}}}"," ",0,"(2*a*b - 3*(b*x - a)*a/x)/(sqrt(-b*x + a)*b^3/sqrt(x) + (-b*x + a)^(3/2)*b^2/x^(3/2)) + 3*a*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(5/2)","A",0
598,1,38,0,3.012044," ","integrate(x^(1/2)/(-b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{3}{2}}} + \frac{2 \, \sqrt{x}}{\sqrt{-b x + a} b}"," ",0,"2*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(3/2) + 2*sqrt(x)/(sqrt(-b*x + a)*b)","A",0
599,1,16,0,1.296541," ","integrate(1/(-b*x+a)^(3/2)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{x}}{\sqrt{-b x + a} a}"," ",0,"2*sqrt(x)/(sqrt(-b*x + a)*a)","A",0
600,1,34,0,1.304785," ","integrate(1/x^(3/2)/(-b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, b \sqrt{x}}{\sqrt{-b x + a} a^{2}} - \frac{2 \, \sqrt{-b x + a}}{a^{2} \sqrt{x}}"," ",0,"2*b*sqrt(x)/(sqrt(-b*x + a)*a^2) - 2*sqrt(-b*x + a)/(a^2*sqrt(x))","A",0
601,1,52,0,1.346927," ","integrate(1/x^(5/2)/(-b*x+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, b^{2} \sqrt{x}}{\sqrt{-b x + a} a^{3}} - \frac{2 \, {\left(\frac{6 \, \sqrt{-b x + a} b}{\sqrt{x}} + \frac{{\left(-b x + a\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}\right)}}{3 \, a^{3}}"," ",0,"2*b^2*sqrt(x)/(sqrt(-b*x + a)*a^3) - 2/3*(6*sqrt(-b*x + a)*b/sqrt(x) + (-b*x + a)^(3/2)/x^(3/2))/a^3","A",0
602,1,94,0,3.017964," ","integrate(x^(5/2)/(-b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, a b^{2} + \frac{10 \, {\left(b x - a\right)} a b}{x} - \frac{15 \, {\left(b x - a\right)}^{2} a}{x^{2}}}{3 \, {\left(\frac{{\left(-b x + a\right)}^{\frac{3}{2}} b^{4}}{x^{\frac{3}{2}}} + \frac{{\left(-b x + a\right)}^{\frac{5}{2}} b^{3}}{x^{\frac{5}{2}}}\right)}} - \frac{5 \, a \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{7}{2}}}"," ",0,"1/3*(2*a*b^2 + 10*(b*x - a)*a*b/x - 15*(b*x - a)^2*a/x^2)/((-b*x + a)^(3/2)*b^4/x^(3/2) + (-b*x + a)^(5/2)*b^3/x^(5/2)) - 5*a*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(7/2)","A",0
603,1,52,0,2.939787," ","integrate(x^(3/2)/(-b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b + \frac{3 \, {\left(b x - a\right)}}{x}\right)} x^{\frac{3}{2}}}{3 \, {\left(-b x + a\right)}^{\frac{3}{2}} b^{2}} - \frac{2 \, \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{5}{2}}}"," ",0,"2/3*(b + 3*(b*x - a)/x)*x^(3/2)/((-b*x + a)^(3/2)*b^2) - 2*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/b^(5/2)","A",0
604,1,16,0,1.364489," ","integrate(x^(1/2)/(-b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, x^{\frac{3}{2}}}{3 \, {\left(-b x + a\right)}^{\frac{3}{2}} a}"," ",0,"2/3*x^(3/2)/((-b*x + a)^(3/2)*a)","A",0
605,1,30,0,1.343528," ","integrate(1/(-b*x+a)^(5/2)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b - \frac{3 \, {\left(b x - a\right)}}{x}\right)} x^{\frac{3}{2}}}{3 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{2}}"," ",0,"2/3*(b - 3*(b*x - a)/x)*x^(3/2)/((-b*x + a)^(3/2)*a^2)","A",0
606,1,50,0,1.289823," ","integrate(1/x^(3/2)/(-b*x+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{2} - \frac{6 \, {\left(b x - a\right)} b}{x}\right)} x^{\frac{3}{2}}}{3 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{3}} - \frac{2 \, \sqrt{-b x + a}}{a^{3} \sqrt{x}}"," ",0,"2/3*(b^2 - 6*(b*x - a)*b/x)*x^(3/2)/((-b*x + a)^(3/2)*a^3) - 2*sqrt(-b*x + a)/(a^3*sqrt(x))","A",0
607,1,68,0,1.329077," ","integrate(1/x^(5/2)/(-b*x+a)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{9 \, \sqrt{-b x + a} b}{\sqrt{x}} + \frac{{\left(-b x + a\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}\right)}}{3 \, a^{4}} + \frac{2 \, {\left(b^{3} - \frac{9 \, {\left(b x - a\right)} b^{2}}{x}\right)} x^{\frac{3}{2}}}{3 \, {\left(-b x + a\right)}^{\frac{3}{2}} a^{4}}"," ",0,"-2/3*(9*sqrt(-b*x + a)*b/sqrt(x) + (-b*x + a)^(3/2)/x^(3/2))/a^4 + 2/3*(b^3 - 9*(b*x - a)*b^2/x)*x^(3/2)/((-b*x + a)^(3/2)*a^4)","A",0
608,1,134,0,2.974710," ","integrate(x^(5/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{33 \, \sqrt{b x + 2} b^{2}}{\sqrt{x}} - \frac{40 \, {\left(b x + 2\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}} + \frac{15 \, {\left(b x + 2\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}}}{3 \, {\left(b^{6} - \frac{3 \, {\left(b x + 2\right)} b^{5}}{x} + \frac{3 \, {\left(b x + 2\right)}^{2} b^{4}}{x^{2}} - \frac{{\left(b x + 2\right)}^{3} b^{3}}{x^{3}}\right)}} + \frac{5 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{2 \, b^{\frac{7}{2}}}"," ",0,"-1/3*(33*sqrt(b*x + 2)*b^2/sqrt(x) - 40*(b*x + 2)^(3/2)*b/x^(3/2) + 15*(b*x + 2)^(5/2)/x^(5/2))/(b^6 - 3*(b*x + 2)*b^5/x + 3*(b*x + 2)^2*b^4/x^2 - (b*x + 2)^3*b^3/x^3) + 5/2*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(7/2)","B",0
609,1,102,0,2.858471," ","integrate(x^(3/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\frac{5 \, \sqrt{b x + 2} b}{\sqrt{x}} - \frac{3 \, {\left(b x + 2\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}}{b^{4} - \frac{2 \, {\left(b x + 2\right)} b^{3}}{x} + \frac{{\left(b x + 2\right)}^{2} b^{2}}{x^{2}}} - \frac{3 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{2 \, b^{\frac{5}{2}}}"," ",0,"(5*sqrt(b*x + 2)*b/sqrt(x) - 3*(b*x + 2)^(3/2)/x^(3/2))/(b^4 - 2*(b*x + 2)*b^3/x + (b*x + 2)^2*b^2/x^2) - 3/2*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(5/2)","B",0
610,1,70,0,2.919040," ","integrate(x^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{b^{\frac{3}{2}}} - \frac{2 \, \sqrt{b x + 2}}{{\left(b^{2} - \frac{{\left(b x + 2\right)} b}{x}\right)} \sqrt{x}}"," ",0,"log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(3/2) - 2*sqrt(b*x + 2)/((b^2 - (b*x + 2)*b/x)*sqrt(x))","B",0
611,1,41,0,2.958662," ","integrate(1/x^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{\sqrt{b}}"," ",0,"-log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/sqrt(b)","B",0
612,1,12,0,1.354787," ","integrate(1/x^(3/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{b x + 2}}{\sqrt{x}}"," ",0,"-sqrt(b*x + 2)/sqrt(x)","A",0
613,1,26,0,1.315282," ","integrate(1/x^(5/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b x + 2} b}{2 \, \sqrt{x}} - \frac{{\left(b x + 2\right)}^{\frac{3}{2}}}{6 \, x^{\frac{3}{2}}}"," ",0,"1/2*sqrt(b*x + 2)*b/sqrt(x) - 1/6*(b*x + 2)^(3/2)/x^(3/2)","A",0
614,1,41,0,1.311270," ","integrate(1/x^(7/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{b x + 2} b^{2}}{4 \, \sqrt{x}} + \frac{{\left(b x + 2\right)}^{\frac{3}{2}} b}{6 \, x^{\frac{3}{2}}} - \frac{{\left(b x + 2\right)}^{\frac{5}{2}}}{20 \, x^{\frac{5}{2}}}"," ",0,"-1/4*sqrt(b*x + 2)*b^2/sqrt(x) + 1/6*(b*x + 2)^(3/2)*b/x^(3/2) - 1/20*(b*x + 2)^(5/2)/x^(5/2)","A",0
615,1,56,0,1.294533," ","integrate(1/x^(9/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b x + 2} b^{3}}{8 \, \sqrt{x}} - \frac{{\left(b x + 2\right)}^{\frac{3}{2}} b^{2}}{8 \, x^{\frac{3}{2}}} + \frac{3 \, {\left(b x + 2\right)}^{\frac{5}{2}} b}{40 \, x^{\frac{5}{2}}} - \frac{{\left(b x + 2\right)}^{\frac{7}{2}}}{56 \, x^{\frac{7}{2}}}"," ",0,"1/8*sqrt(b*x + 2)*b^3/sqrt(x) - 1/8*(b*x + 2)^(3/2)*b^2/x^(3/2) + 3/40*(b*x + 2)^(5/2)*b/x^(5/2) - 1/56*(b*x + 2)^(7/2)/x^(7/2)","A",0
616,1,119,0,3.055398," ","integrate(x^(5/2)/(b*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{8 \, b^{2} - \frac{25 \, {\left(b x + 2\right)} b}{x} + \frac{15 \, {\left(b x + 2\right)}^{2}}{x^{2}}}{\frac{\sqrt{b x + 2} b^{5}}{\sqrt{x}} - \frac{2 \, {\left(b x + 2\right)}^{\frac{3}{2}} b^{4}}{x^{\frac{3}{2}}} + \frac{{\left(b x + 2\right)}^{\frac{5}{2}} b^{3}}{x^{\frac{5}{2}}}} - \frac{15 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{2 \, b^{\frac{7}{2}}}"," ",0,"-(8*b^2 - 25*(b*x + 2)*b/x + 15*(b*x + 2)^2/x^2)/(sqrt(b*x + 2)*b^5/sqrt(x) - 2*(b*x + 2)^(3/2)*b^4/x^(3/2) + (b*x + 2)^(5/2)*b^3/x^(5/2)) - 15/2*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(7/2)","A",0
617,1,90,0,2.987680," ","integrate(x^(3/2)/(b*x+2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, b - \frac{3 \, {\left(b x + 2\right)}}{x}\right)}}{\frac{\sqrt{b x + 2} b^{3}}{\sqrt{x}} - \frac{{\left(b x + 2\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}}} + \frac{3 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{b^{\frac{5}{2}}}"," ",0,"2*(2*b - 3*(b*x + 2)/x)/(sqrt(b*x + 2)*b^3/sqrt(x) - (b*x + 2)^(3/2)*b^2/x^(3/2)) + 3*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(5/2)","A",0
618,1,57,0,2.895982," ","integrate(x^(1/2)/(b*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{b^{\frac{3}{2}}} - \frac{2 \, \sqrt{x}}{\sqrt{b x + 2} b}"," ",0,"-log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(3/2) - 2*sqrt(x)/(sqrt(b*x + 2)*b)","A",0
619,1,11,0,1.339669," ","integrate(1/(b*x+2)^(3/2)/x^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x}}{\sqrt{b x + 2}}"," ",0,"sqrt(x)/sqrt(b*x + 2)","A",0
620,1,26,0,1.335189," ","integrate(1/x^(3/2)/(b*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{b \sqrt{x}}{2 \, \sqrt{b x + 2}} - \frac{\sqrt{b x + 2}}{2 \, \sqrt{x}}"," ",0,"-1/2*b*sqrt(x)/sqrt(b*x + 2) - 1/2*sqrt(b*x + 2)/sqrt(x)","A",0
621,1,41,0,1.372170," ","integrate(1/x^(5/2)/(b*x+2)^(3/2),x, algorithm=""maxima"")","\frac{b^{2} \sqrt{x}}{4 \, \sqrt{b x + 2}} + \frac{\sqrt{b x + 2} b}{2 \, \sqrt{x}} - \frac{{\left(b x + 2\right)}^{\frac{3}{2}}}{12 \, x^{\frac{3}{2}}}"," ",0,"1/4*b^2*sqrt(x)/sqrt(b*x + 2) + 1/2*sqrt(b*x + 2)*b/sqrt(x) - 1/12*(b*x + 2)^(3/2)/x^(3/2)","A",0
622,1,56,0,1.302633," ","integrate(1/x^(7/2)/(b*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{b^{3} \sqrt{x}}{8 \, \sqrt{b x + 2}} - \frac{3 \, \sqrt{b x + 2} b^{2}}{8 \, \sqrt{x}} + \frac{{\left(b x + 2\right)}^{\frac{3}{2}} b}{8 \, x^{\frac{3}{2}}} - \frac{{\left(b x + 2\right)}^{\frac{5}{2}}}{40 \, x^{\frac{5}{2}}}"," ",0,"-1/8*b^3*sqrt(x)/sqrt(b*x + 2) - 3/8*sqrt(b*x + 2)*b^2/sqrt(x) + 1/8*(b*x + 2)^(3/2)*b/x^(3/2) - 1/40*(b*x + 2)^(5/2)/x^(5/2)","A",0
623,1,105,0,3.003313," ","integrate(x^(5/2)/(b*x+2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, b^{2} + \frac{10 \, {\left(b x + 2\right)} b}{x} - \frac{15 \, {\left(b x + 2\right)}^{2}}{x^{2}}\right)}}{3 \, {\left(\frac{{\left(b x + 2\right)}^{\frac{3}{2}} b^{4}}{x^{\frac{3}{2}}} - \frac{{\left(b x + 2\right)}^{\frac{5}{2}} b^{3}}{x^{\frac{5}{2}}}\right)}} + \frac{5 \, \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{b^{\frac{7}{2}}}"," ",0,"2/3*(2*b^2 + 10*(b*x + 2)*b/x - 15*(b*x + 2)^2/x^2)/((b*x + 2)^(3/2)*b^4/x^(3/2) - (b*x + 2)^(5/2)*b^3/x^(5/2)) + 5*log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(7/2)","A",0
624,1,69,0,2.970741," ","integrate(x^(3/2)/(b*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(b + \frac{3 \, {\left(b x + 2\right)}}{x}\right)} x^{\frac{3}{2}}}{3 \, {\left(b x + 2\right)}^{\frac{3}{2}} b^{2}} - \frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x + 2}}{\sqrt{x}}}{\sqrt{b} + \frac{\sqrt{b x + 2}}{\sqrt{x}}}\right)}{b^{\frac{5}{2}}}"," ",0,"-2/3*(b + 3*(b*x + 2)/x)*x^(3/2)/((b*x + 2)^(3/2)*b^2) - log(-(sqrt(b) - sqrt(b*x + 2)/sqrt(x))/(sqrt(b) + sqrt(b*x + 2)/sqrt(x)))/b^(5/2)","A",0
625,1,12,0,1.327817," ","integrate(x^(1/2)/(b*x+2)^(5/2),x, algorithm=""maxima"")","\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",0
626,1,24,0,1.318232," ","integrate(1/(b*x+2)^(5/2)/x^(1/2),x, algorithm=""maxima"")","-\frac{{\left(b - \frac{3 \, {\left(b x + 2\right)}}{x}\right)} x^{\frac{3}{2}}}{6 \, {\left(b x + 2\right)}^{\frac{3}{2}}}"," ",0,"-1/6*(b - 3*(b*x + 2)/x)*x^(3/2)/(b*x + 2)^(3/2)","A",0
627,1,40,0,1.400532," ","integrate(1/x^(3/2)/(b*x+2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} - \frac{6 \, {\left(b x + 2\right)} b}{x}\right)} x^{\frac{3}{2}}}{12 \, {\left(b x + 2\right)}^{\frac{3}{2}}} - \frac{\sqrt{b x + 2}}{4 \, \sqrt{x}}"," ",0,"1/12*(b^2 - 6*(b*x + 2)*b/x)*x^(3/2)/(b*x + 2)^(3/2) - 1/4*sqrt(b*x + 2)/sqrt(x)","A",0
628,1,55,0,1.276478," ","integrate(1/x^(5/2)/(b*x+2)^(5/2),x, algorithm=""maxima"")","\frac{3 \, \sqrt{b x + 2} b}{8 \, \sqrt{x}} - \frac{{\left(b^{3} - \frac{9 \, {\left(b x + 2\right)} b^{2}}{x}\right)} x^{\frac{3}{2}}}{24 \, {\left(b x + 2\right)}^{\frac{3}{2}}} - \frac{{\left(b x + 2\right)}^{\frac{3}{2}}}{24 \, x^{\frac{3}{2}}}"," ",0,"3/8*sqrt(b*x + 2)*b/sqrt(x) - 1/24*(b^3 - 9*(b*x + 2)*b^2/x)*x^(3/2)/(b*x + 2)^(3/2) - 1/24*(b*x + 2)^(3/2)/x^(3/2)","A",0
629,1,117,0,3.033218," ","integrate(x^(5/2)/(-b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{33 \, \sqrt{-b x + 2} b^{2}}{\sqrt{x}} + \frac{40 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b}{x^{\frac{3}{2}}} + \frac{15 \, {\left(-b x + 2\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}}}{3 \, {\left(b^{6} - \frac{3 \, {\left(b x - 2\right)} b^{5}}{x} + \frac{3 \, {\left(b x - 2\right)}^{2} b^{4}}{x^{2}} - \frac{{\left(b x - 2\right)}^{3} b^{3}}{x^{3}}\right)}} - \frac{5 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{7}{2}}}"," ",0,"-1/3*(33*sqrt(-b*x + 2)*b^2/sqrt(x) + 40*(-b*x + 2)^(3/2)*b/x^(3/2) + 15*(-b*x + 2)^(5/2)/x^(5/2))/(b^6 - 3*(b*x - 2)*b^5/x + 3*(b*x - 2)^2*b^4/x^2 - (b*x - 2)^3*b^3/x^3) - 5*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(7/2)","A",0
630,1,85,0,2.926770," ","integrate(x^(3/2)/(-b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{5 \, \sqrt{-b x + 2} b}{\sqrt{x}} + \frac{3 \, {\left(-b x + 2\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}}}{b^{4} - \frac{2 \, {\left(b x - 2\right)} b^{3}}{x} + \frac{{\left(b x - 2\right)}^{2} b^{2}}{x^{2}}} - \frac{3 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{5}{2}}}"," ",0,"-(5*sqrt(-b*x + 2)*b/sqrt(x) + 3*(-b*x + 2)^(3/2)/x^(3/2))/(b^4 - 2*(b*x - 2)*b^3/x + (b*x - 2)^2*b^2/x^2) - 3*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(5/2)","A",0
631,1,52,0,2.928454," ","integrate(x^(1/2)/(-b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{3}{2}}} - \frac{2 \, \sqrt{-b x + 2}}{{\left(b^{2} - \frac{{\left(b x - 2\right)} b}{x}\right)} \sqrt{x}}"," ",0,"-2*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(3/2) - 2*sqrt(-b*x + 2)/((b^2 - (b*x - 2)*b/x)*sqrt(x))","A",0
632,1,21,0,2.962333," ","integrate(1/x^(1/2)/(-b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{\sqrt{b}}"," ",0,"-2*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/sqrt(b)","A",0
633,1,13,0,1.351187," ","integrate(1/x^(3/2)/(-b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-b x + 2}}{\sqrt{x}}"," ",0,"-sqrt(-b*x + 2)/sqrt(x)","A",0
634,1,28,0,1.346329," ","integrate(1/x^(5/2)/(-b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-b x + 2} b}{2 \, \sqrt{x}} - \frac{{\left(-b x + 2\right)}^{\frac{3}{2}}}{6 \, x^{\frac{3}{2}}}"," ",0,"-1/2*sqrt(-b*x + 2)*b/sqrt(x) - 1/6*(-b*x + 2)^(3/2)/x^(3/2)","A",0
635,1,101,0,2.990667," ","integrate(x^(5/2)/(-b*x+2)^(3/2),x, algorithm=""maxima"")","\frac{8 \, b^{2} - \frac{25 \, {\left(b x - 2\right)} b}{x} + \frac{15 \, {\left(b x - 2\right)}^{2}}{x^{2}}}{\frac{\sqrt{-b x + 2} b^{5}}{\sqrt{x}} + \frac{2 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b^{4}}{x^{\frac{3}{2}}} + \frac{{\left(-b x + 2\right)}^{\frac{5}{2}} b^{3}}{x^{\frac{5}{2}}}} + \frac{15 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{7}{2}}}"," ",0,"(8*b^2 - 25*(b*x - 2)*b/x + 15*(b*x - 2)^2/x^2)/(sqrt(-b*x + 2)*b^5/sqrt(x) + 2*(-b*x + 2)^(3/2)*b^4/x^(3/2) + (-b*x + 2)^(5/2)*b^3/x^(5/2)) + 15*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(7/2)","A",0
636,1,71,0,2.995401," ","integrate(x^(3/2)/(-b*x+2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, b - \frac{3 \, {\left(b x - 2\right)}}{x}\right)}}{\frac{\sqrt{-b x + 2} b^{3}}{\sqrt{x}} + \frac{{\left(-b x + 2\right)}^{\frac{3}{2}} b^{2}}{x^{\frac{3}{2}}}} + \frac{6 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{5}{2}}}"," ",0,"2*(2*b - 3*(b*x - 2)/x)/(sqrt(-b*x + 2)*b^3/sqrt(x) + (-b*x + 2)^(3/2)*b^2/x^(3/2)) + 6*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(5/2)","A",0
637,1,38,0,2.981687," ","integrate(x^(1/2)/(-b*x+2)^(3/2),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{3}{2}}} + \frac{2 \, \sqrt{x}}{\sqrt{-b x + 2} b}"," ",0,"2*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(3/2) + 2*sqrt(x)/(sqrt(-b*x + 2)*b)","A",0
638,1,12,0,1.272774," ","integrate(1/(-b*x+2)^(3/2)/x^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x}}{\sqrt{-b x + 2}}"," ",0,"sqrt(x)/sqrt(-b*x + 2)","A",0
639,1,28,0,1.259357," ","integrate(1/x^(3/2)/(-b*x+2)^(3/2),x, algorithm=""maxima"")","\frac{b \sqrt{x}}{2 \, \sqrt{-b x + 2}} - \frac{\sqrt{-b x + 2}}{2 \, \sqrt{x}}"," ",0,"1/2*b*sqrt(x)/sqrt(-b*x + 2) - 1/2*sqrt(-b*x + 2)/sqrt(x)","A",0
640,1,44,0,1.280660," ","integrate(1/x^(5/2)/(-b*x+2)^(3/2),x, algorithm=""maxima"")","\frac{b^{2} \sqrt{x}}{4 \, \sqrt{-b x + 2}} - \frac{\sqrt{-b x + 2} b}{2 \, \sqrt{x}} - \frac{{\left(-b x + 2\right)}^{\frac{3}{2}}}{12 \, x^{\frac{3}{2}}}"," ",0,"1/4*b^2*sqrt(x)/sqrt(-b*x + 2) - 1/2*sqrt(-b*x + 2)*b/sqrt(x) - 1/12*(-b*x + 2)^(3/2)/x^(3/2)","A",0
641,1,86,0,2.989913," ","integrate(x^(5/2)/(-b*x+2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, b^{2} + \frac{10 \, {\left(b x - 2\right)} b}{x} - \frac{15 \, {\left(b x - 2\right)}^{2}}{x^{2}}\right)}}{3 \, {\left(\frac{{\left(-b x + 2\right)}^{\frac{3}{2}} b^{4}}{x^{\frac{3}{2}}} + \frac{{\left(-b x + 2\right)}^{\frac{5}{2}} b^{3}}{x^{\frac{5}{2}}}\right)}} - \frac{10 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{7}{2}}}"," ",0,"2/3*(2*b^2 + 10*(b*x - 2)*b/x - 15*(b*x - 2)^2/x^2)/((-b*x + 2)^(3/2)*b^4/x^(3/2) + (-b*x + 2)^(5/2)*b^3/x^(5/2)) - 10*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(7/2)","A",0
642,1,50,0,2.918945," ","integrate(x^(3/2)/(-b*x+2)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b + \frac{3 \, {\left(b x - 2\right)}}{x}\right)} x^{\frac{3}{2}}}{3 \, {\left(-b x + 2\right)}^{\frac{3}{2}} b^{2}} - \frac{2 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b^{\frac{5}{2}}}"," ",0,"2/3*(b + 3*(b*x - 2)/x)*x^(3/2)/((-b*x + 2)^(3/2)*b^2) - 2*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/b^(5/2)","A",0
643,1,13,0,1.381957," ","integrate(x^(1/2)/(-b*x+2)^(5/2),x, algorithm=""maxima"")","\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",0
644,1,25,0,1.302254," ","integrate(1/(-b*x+2)^(5/2)/x^(1/2),x, algorithm=""maxima"")","\frac{{\left(b - \frac{3 \, {\left(b x - 2\right)}}{x}\right)} x^{\frac{3}{2}}}{6 \, {\left(-b x + 2\right)}^{\frac{3}{2}}}"," ",0,"1/6*(b - 3*(b*x - 2)/x)*x^(3/2)/(-b*x + 2)^(3/2)","A",0
645,1,42,0,1.351614," ","integrate(1/x^(3/2)/(-b*x+2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} - \frac{6 \, {\left(b x - 2\right)} b}{x}\right)} x^{\frac{3}{2}}}{12 \, {\left(-b x + 2\right)}^{\frac{3}{2}}} - \frac{\sqrt{-b x + 2}}{4 \, \sqrt{x}}"," ",0,"1/12*(b^2 - 6*(b*x - 2)*b/x)*x^(3/2)/(-b*x + 2)^(3/2) - 1/4*sqrt(-b*x + 2)/sqrt(x)","A",0
646,1,58,0,1.351421," ","integrate(1/x^(5/2)/(-b*x+2)^(5/2),x, algorithm=""maxima"")","-\frac{3 \, \sqrt{-b x + 2} b}{8 \, \sqrt{x}} + \frac{{\left(b^{3} - \frac{9 \, {\left(b x - 2\right)} b^{2}}{x}\right)} x^{\frac{3}{2}}}{24 \, {\left(-b x + 2\right)}^{\frac{3}{2}}} - \frac{{\left(-b x + 2\right)}^{\frac{3}{2}}}{24 \, x^{\frac{3}{2}}}"," ",0,"-3/8*sqrt(-b*x + 2)*b/sqrt(x) + 1/24*(b^3 - 9*(b*x - 2)*b^2/x)*x^(3/2)/(-b*x + 2)^(3/2) - 1/24*(-b*x + 2)^(3/2)/x^(3/2)","A",0
647,1,37,0,3.004189," ","integrate(x^(1/2)/(1-x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-x + 1}}{\sqrt{x} {\left(\frac{x - 1}{x} - 1\right)}} - \arctan\left(\frac{\sqrt{-x + 1}}{\sqrt{x}}\right)"," ",0,"sqrt(-x + 1)/(sqrt(x)*((x - 1)/x - 1)) - arctan(sqrt(-x + 1)/sqrt(x))","A",0
648,1,14,0,2.950644," ","integrate(1/(1-x)^(1/2)/x^(1/2),x, algorithm=""maxima"")","-2 \, \arctan\left(\frac{\sqrt{-x + 1}}{\sqrt{x}}\right)"," ",0,"-2*arctan(sqrt(-x + 1)/sqrt(x))","B",0
649,1,21,0,2.888664," ","integrate(1/x^(1/2)/(-b*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \arctan\left(\frac{\sqrt{-b x + 1}}{\sqrt{b} \sqrt{x}}\right)}{\sqrt{b}}"," ",0,"-2*arctan(sqrt(-b*x + 1)/(sqrt(b)*sqrt(x)))/sqrt(b)","A",0
650,1,13,0,1.296149," ","integrate(x^(5/3)*(b*x+a),x, algorithm=""maxima"")","\frac{3}{11} \, b x^{\frac{11}{3}} + \frac{3}{8} \, a x^{\frac{8}{3}}"," ",0,"3/11*b*x^(11/3) + 3/8*a*x^(8/3)","A",0
651,1,13,0,1.350650," ","integrate(x^(4/3)*(b*x+a),x, algorithm=""maxima"")","\frac{3}{10} \, b x^{\frac{10}{3}} + \frac{3}{7} \, a x^{\frac{7}{3}}"," ",0,"3/10*b*x^(10/3) + 3/7*a*x^(7/3)","A",0
652,1,13,0,1.348387," ","integrate(x^(2/3)*(b*x+a),x, algorithm=""maxima"")","\frac{3}{8} \, b x^{\frac{8}{3}} + \frac{3}{5} \, a x^{\frac{5}{3}}"," ",0,"3/8*b*x^(8/3) + 3/5*a*x^(5/3)","A",0
653,1,13,0,1.368034," ","integrate(x^(1/3)*(b*x+a),x, algorithm=""maxima"")","\frac{3}{7} \, b x^{\frac{7}{3}} + \frac{3}{4} \, a x^{\frac{4}{3}}"," ",0,"3/7*b*x^(7/3) + 3/4*a*x^(4/3)","A",0
654,1,13,0,1.306717," ","integrate((b*x+a)/x^(1/3),x, algorithm=""maxima"")","\frac{3}{5} \, b x^{\frac{5}{3}} + \frac{3}{2} \, a x^{\frac{2}{3}}"," ",0,"3/5*b*x^(5/3) + 3/2*a*x^(2/3)","A",0
655,1,13,0,1.283084," ","integrate((b*x+a)/x^(2/3),x, algorithm=""maxima"")","\frac{3}{4} \, b x^{\frac{4}{3}} + 3 \, a x^{\frac{1}{3}}"," ",0,"3/4*b*x^(4/3) + 3*a*x^(1/3)","A",0
656,1,13,0,1.335683," ","integrate((b*x+a)/x^(4/3),x, algorithm=""maxima"")","\frac{3}{2} \, b x^{\frac{2}{3}} - \frac{3 \, a}{x^{\frac{1}{3}}}"," ",0,"3/2*b*x^(2/3) - 3*a/x^(1/3)","A",0
657,1,13,0,1.299025," ","integrate((b*x+a)/x^(5/3),x, algorithm=""maxima"")","3 \, b x^{\frac{1}{3}} - \frac{3 \, a}{2 \, x^{\frac{2}{3}}}"," ",0,"3*b*x^(1/3) - 3/2*a/x^(2/3)","A",0
658,1,24,0,1.311937," ","integrate(x^(5/3)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{3}{14} \, b^{2} x^{\frac{14}{3}} + \frac{6}{11} \, a b x^{\frac{11}{3}} + \frac{3}{8} \, a^{2} x^{\frac{8}{3}}"," ",0,"3/14*b^2*x^(14/3) + 6/11*a*b*x^(11/3) + 3/8*a^2*x^(8/3)","A",0
659,1,24,0,1.323814," ","integrate(x^(4/3)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{3}{13} \, b^{2} x^{\frac{13}{3}} + \frac{3}{5} \, a b x^{\frac{10}{3}} + \frac{3}{7} \, a^{2} x^{\frac{7}{3}}"," ",0,"3/13*b^2*x^(13/3) + 3/5*a*b*x^(10/3) + 3/7*a^2*x^(7/3)","A",0
660,1,24,0,1.319735," ","integrate(x^(2/3)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{3}{11} \, b^{2} x^{\frac{11}{3}} + \frac{3}{4} \, a b x^{\frac{8}{3}} + \frac{3}{5} \, a^{2} x^{\frac{5}{3}}"," ",0,"3/11*b^2*x^(11/3) + 3/4*a*b*x^(8/3) + 3/5*a^2*x^(5/3)","A",0
661,1,24,0,1.276501," ","integrate(x^(1/3)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{3}{10} \, b^{2} x^{\frac{10}{3}} + \frac{6}{7} \, a b x^{\frac{7}{3}} + \frac{3}{4} \, a^{2} x^{\frac{4}{3}}"," ",0,"3/10*b^2*x^(10/3) + 6/7*a*b*x^(7/3) + 3/4*a^2*x^(4/3)","A",0
662,1,24,0,1.317815," ","integrate((b*x+a)^2/x^(1/3),x, algorithm=""maxima"")","\frac{3}{8} \, b^{2} x^{\frac{8}{3}} + \frac{6}{5} \, a b x^{\frac{5}{3}} + \frac{3}{2} \, a^{2} x^{\frac{2}{3}}"," ",0,"3/8*b^2*x^(8/3) + 6/5*a*b*x^(5/3) + 3/2*a^2*x^(2/3)","A",0
663,1,24,0,1.380419," ","integrate((b*x+a)^2/x^(2/3),x, algorithm=""maxima"")","\frac{3}{7} \, b^{2} x^{\frac{7}{3}} + \frac{3}{2} \, a b x^{\frac{4}{3}} + 3 \, a^{2} x^{\frac{1}{3}}"," ",0,"3/7*b^2*x^(7/3) + 3/2*a*b*x^(4/3) + 3*a^2*x^(1/3)","A",0
664,1,24,0,1.355228," ","integrate((b*x+a)^2/x^(4/3),x, algorithm=""maxima"")","\frac{3}{5} \, b^{2} x^{\frac{5}{3}} + 3 \, a b x^{\frac{2}{3}} - \frac{3 \, a^{2}}{x^{\frac{1}{3}}}"," ",0,"3/5*b^2*x^(5/3) + 3*a*b*x^(2/3) - 3*a^2/x^(1/3)","A",0
665,1,24,0,1.351256," ","integrate((b*x+a)^2/x^(5/3),x, algorithm=""maxima"")","\frac{3}{4} \, b^{2} x^{\frac{4}{3}} + 6 \, a b x^{\frac{1}{3}} - \frac{3 \, a^{2}}{2 \, x^{\frac{2}{3}}}"," ",0,"3/4*b^2*x^(4/3) + 6*a*b*x^(1/3) - 3/2*a^2/x^(2/3)","A",0
666,1,35,0,1.346246," ","integrate(x^(5/3)*(b*x+a)^3,x, algorithm=""maxima"")","\frac{3}{17} \, b^{3} x^{\frac{17}{3}} + \frac{9}{14} \, a b^{2} x^{\frac{14}{3}} + \frac{9}{11} \, a^{2} b x^{\frac{11}{3}} + \frac{3}{8} \, a^{3} x^{\frac{8}{3}}"," ",0,"3/17*b^3*x^(17/3) + 9/14*a*b^2*x^(14/3) + 9/11*a^2*b*x^(11/3) + 3/8*a^3*x^(8/3)","A",0
667,1,35,0,1.288736," ","integrate(x^(4/3)*(b*x+a)^3,x, algorithm=""maxima"")","\frac{3}{16} \, b^{3} x^{\frac{16}{3}} + \frac{9}{13} \, a b^{2} x^{\frac{13}{3}} + \frac{9}{10} \, a^{2} b x^{\frac{10}{3}} + \frac{3}{7} \, a^{3} x^{\frac{7}{3}}"," ",0,"3/16*b^3*x^(16/3) + 9/13*a*b^2*x^(13/3) + 9/10*a^2*b*x^(10/3) + 3/7*a^3*x^(7/3)","A",0
668,1,35,0,1.337139," ","integrate(x^(2/3)*(b*x+a)^3,x, algorithm=""maxima"")","\frac{3}{14} \, b^{3} x^{\frac{14}{3}} + \frac{9}{11} \, a b^{2} x^{\frac{11}{3}} + \frac{9}{8} \, a^{2} b x^{\frac{8}{3}} + \frac{3}{5} \, a^{3} x^{\frac{5}{3}}"," ",0,"3/14*b^3*x^(14/3) + 9/11*a*b^2*x^(11/3) + 9/8*a^2*b*x^(8/3) + 3/5*a^3*x^(5/3)","A",0
669,1,35,0,1.349247," ","integrate(x^(1/3)*(b*x+a)^3,x, algorithm=""maxima"")","\frac{3}{13} \, b^{3} x^{\frac{13}{3}} + \frac{9}{10} \, a b^{2} x^{\frac{10}{3}} + \frac{9}{7} \, a^{2} b x^{\frac{7}{3}} + \frac{3}{4} \, a^{3} x^{\frac{4}{3}}"," ",0,"3/13*b^3*x^(13/3) + 9/10*a*b^2*x^(10/3) + 9/7*a^2*b*x^(7/3) + 3/4*a^3*x^(4/3)","A",0
670,1,35,0,1.327168," ","integrate((b*x+a)^3/x^(1/3),x, algorithm=""maxima"")","\frac{3}{11} \, b^{3} x^{\frac{11}{3}} + \frac{9}{8} \, a b^{2} x^{\frac{8}{3}} + \frac{9}{5} \, a^{2} b x^{\frac{5}{3}} + \frac{3}{2} \, a^{3} x^{\frac{2}{3}}"," ",0,"3/11*b^3*x^(11/3) + 9/8*a*b^2*x^(8/3) + 9/5*a^2*b*x^(5/3) + 3/2*a^3*x^(2/3)","A",0
671,1,35,0,1.293131," ","integrate((b*x+a)^3/x^(2/3),x, algorithm=""maxima"")","\frac{3}{10} \, b^{3} x^{\frac{10}{3}} + \frac{9}{7} \, a b^{2} x^{\frac{7}{3}} + \frac{9}{4} \, a^{2} b x^{\frac{4}{3}} + 3 \, a^{3} x^{\frac{1}{3}}"," ",0,"3/10*b^3*x^(10/3) + 9/7*a*b^2*x^(7/3) + 9/4*a^2*b*x^(4/3) + 3*a^3*x^(1/3)","A",0
672,1,35,0,1.323169," ","integrate((b*x+a)^3/x^(4/3),x, algorithm=""maxima"")","\frac{3}{8} \, b^{3} x^{\frac{8}{3}} + \frac{9}{5} \, a b^{2} x^{\frac{5}{3}} + \frac{9}{2} \, a^{2} b x^{\frac{2}{3}} - \frac{3 \, a^{3}}{x^{\frac{1}{3}}}"," ",0,"3/8*b^3*x^(8/3) + 9/5*a*b^2*x^(5/3) + 9/2*a^2*b*x^(2/3) - 3*a^3/x^(1/3)","A",0
673,1,35,0,1.361482," ","integrate((b*x+a)^3/x^(5/3),x, algorithm=""maxima"")","\frac{3}{7} \, b^{3} x^{\frac{7}{3}} + \frac{9}{4} \, a b^{2} x^{\frac{4}{3}} + 9 \, a^{2} b x^{\frac{1}{3}} - \frac{3 \, a^{3}}{2 \, x^{\frac{2}{3}}}"," ",0,"3/7*b^3*x^(7/3) + 9/4*a*b^2*x^(4/3) + 9*a^2*b*x^(1/3) - 3/2*a^3/x^(2/3)","A",0
674,1,130,0,3.002970," ","integrate(x^(5/3)/(b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{3} a^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{a^{2} \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{a^{2} \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{3 \, {\left(2 \, b x^{\frac{5}{3}} - 5 \, a x^{\frac{2}{3}}\right)}}{10 \, b^{2}}"," ",0,"sqrt(3)*a^2*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(b^3*(a/b)^(1/3)) + 1/2*a^2*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*(a/b)^(1/3)) - a^2*log(x^(1/3) + (a/b)^(1/3))/(b^3*(a/b)^(1/3)) + 3/10*(2*b*x^(5/3) - 5*a*x^(2/3))/b^2","A",0
675,1,128,0,3.051455," ","integrate(x^(4/3)/(b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{3} a^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{a^{2} \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{a^{2} \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{3 \, {\left(b x^{\frac{4}{3}} - 4 \, a x^{\frac{1}{3}}\right)}}{4 \, b^{2}}"," ",0,"sqrt(3)*a^2*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(b^3*(a/b)^(2/3)) - 1/2*a^2*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*(a/b)^(2/3)) + a^2*log(x^(1/3) + (a/b)^(1/3))/(b^3*(a/b)^(2/3)) + 3/4*(b*x^(4/3) - 4*a*x^(1/3))/b^2","A",0
676,1,114,0,2.904998," ","integrate(x^(2/3)/(b*x+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{3 \, x^{\frac{2}{3}}}{2 \, b} - \frac{a \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{a \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-sqrt(3)*a*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(1/3)) + 3/2*x^(2/3)/b - 1/2*a*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(1/3)) + a*log(x^(1/3) + (a/b)^(1/3))/(b^2*(a/b)^(1/3))","A",0
677,1,115,0,2.925689," ","integrate(x^(1/3)/(b*x+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{3 \, x^{\frac{1}{3}}}{b} + \frac{a \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{a \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-sqrt(3)*a*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(2/3)) + 3*x^(1/3)/b + 1/2*a*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(2/3)) - a*log(x^(1/3) + (a/b)^(1/3))/(b^2*(a/b)^(2/3))","A",0
678,1,103,0,2.832871," ","integrate(1/x^(1/3)/(b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{b \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(b*(a/b)^(1/3)) + 1/2*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(b*(a/b)^(1/3)) - log(x^(1/3) + (a/b)^(1/3))/(b*(a/b)^(1/3))","A",0
679,1,102,0,2.962806," ","integrate(1/x^(2/3)/(b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{b \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(b*(a/b)^(2/3)) - 1/2*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(b*(a/b)^(2/3)) + log(x^(1/3) + (a/b)^(1/3))/(b*(a/b)^(2/3))","A",0
680,1,111,0,2.962856," ","integrate(1/x^(4/3)/(b*x+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, a \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{a \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{3}{a x^{\frac{1}{3}}}"," ",0,"-sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(a*(a/b)^(1/3)) - 1/2*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(a*(a/b)^(1/3)) + log(x^(1/3) + (a/b)^(1/3))/(a*(a/b)^(1/3)) - 3/(a*x^(1/3))","A",0
681,1,112,0,2.994451," ","integrate(1/x^(5/3)/(b*x+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, a \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{a \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{3}{2 \, a x^{\frac{2}{3}}}"," ",0,"-sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(a*(a/b)^(2/3)) + 1/2*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(a*(a/b)^(2/3)) - log(x^(1/3) + (a/b)^(1/3))/(a*(a/b)^(2/3)) - 3/2/(a*x^(2/3))","A",0
682,1,133,0,2.959229," ","integrate(x^(5/3)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{a x^{\frac{2}{3}}}{b^{3} x + a b^{2}} - \frac{5 \, \sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{3 \, x^{\frac{2}{3}}}{2 \, b^{2}} - \frac{5 \, a \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{5 \, a \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"a*x^(2/3)/(b^3*x + a*b^2) - 5/3*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(b^3*(a/b)^(1/3)) + 3/2*x^(2/3)/b^2 - 5/6*a*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*(a/b)^(1/3)) + 5/3*a*log(x^(1/3) + (a/b)^(1/3))/(b^3*(a/b)^(1/3))","A",0
683,1,133,0,2.932246," ","integrate(x^(4/3)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{a x^{\frac{1}{3}}}{b^{3} x + a b^{2}} - \frac{4 \, \sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{3 \, x^{\frac{1}{3}}}{b^{2}} + \frac{2 \, a \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{3 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{4 \, a \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"a*x^(1/3)/(b^3*x + a*b^2) - 4/3*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(b^3*(a/b)^(2/3)) + 3*x^(1/3)/b^2 + 2/3*a*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*(a/b)^(2/3)) - 4/3*a*log(x^(1/3) + (a/b)^(1/3))/(b^3*(a/b)^(2/3))","A",0
684,1,120,0,2.994247," ","integrate(x^(2/3)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{x^{\frac{2}{3}}}{b^{2} x + a b} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{2 \, \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-x^(2/3)/(b^2*x + a*b) + 2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(1/3)) + 1/3*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(1/3)) - 2/3*log(x^(1/3) + (a/b)^(1/3))/(b^2*(a/b)^(1/3))","A",0
685,1,120,0,3.026002," ","integrate(x^(1/3)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{x^{\frac{1}{3}}}{b^{2} x + a b} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-x^(1/3)/(b^2*x + a*b) + 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(2/3)) - 1/6*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(2/3)) + 1/3*log(x^(1/3) + (a/b)^(1/3))/(b^2*(a/b)^(2/3))","A",0
686,1,127,0,2.963626," ","integrate(1/x^(1/3)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{x^{\frac{2}{3}}}{a b x + a^{2}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a b \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"x^(2/3)/(a*b*x + a^2) + 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(a*b*(a/b)^(1/3)) + 1/6*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(a*b*(a/b)^(1/3)) - 1/3*log(x^(1/3) + (a/b)^(1/3))/(a*b*(a/b)^(1/3))","A",0
687,1,127,0,3.008986," ","integrate(1/x^(2/3)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{x^{\frac{1}{3}}}{a b x + a^{2}} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{3 \, a b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{2 \, \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a b \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"x^(1/3)/(a*b*x + a^2) + 2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(a*b*(a/b)^(2/3)) - 1/3*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(a*b*(a/b)^(2/3)) + 2/3*log(x^(1/3) + (a/b)^(1/3))/(a*b*(a/b)^(2/3))","A",0
688,1,132,0,3.035846," ","integrate(1/x^(4/3)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{4 \, b x + 3 \, a}{a^{2} b x^{\frac{4}{3}} + a^{3} x^{\frac{1}{3}}} - \frac{4 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{2 \, \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{3 \, a^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{4 \, \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-(4*b*x + 3*a)/(a^2*b*x^(4/3) + a^3*x^(1/3)) - 4/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*(a/b)^(1/3)) - 2/3*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*(a/b)^(1/3)) + 4/3*log(x^(1/3) + (a/b)^(1/3))/(a^2*(a/b)^(1/3))","A",0
689,1,132,0,2.943347," ","integrate(1/x^(5/3)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{5 \, b x + 3 \, a}{2 \, {\left(a^{2} b x^{\frac{5}{3}} + a^{3} x^{\frac{2}{3}}\right)}} - \frac{5 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{5 \, \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{5 \, \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/2*(5*b*x + 3*a)/(a^2*b*x^(5/3) + a^3*x^(2/3)) - 5/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*(a/b)^(2/3)) + 5/6*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*(a/b)^(2/3)) - 5/3*log(x^(1/3) + (a/b)^(1/3))/(a^2*(a/b)^(2/3))","A",0
690,1,143,0,2.952071," ","integrate(x^(5/3)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{8 \, b x^{\frac{5}{3}} + 5 \, a x^{\frac{2}{3}}}{6 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}} + \frac{5 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{5 \, \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{5 \, \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/6*(8*b*x^(5/3) + 5*a*x^(2/3))/(b^4*x^2 + 2*a*b^3*x + a^2*b^2) + 5/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(b^3*(a/b)^(1/3)) + 5/18*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*(a/b)^(1/3)) - 5/9*log(x^(1/3) + (a/b)^(1/3))/(b^3*(a/b)^(1/3))","A",0
691,1,143,0,2.879259," ","integrate(x^(4/3)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{7 \, b x^{\frac{4}{3}} + 4 \, a x^{\frac{1}{3}}}{6 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{2 \, \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/6*(7*b*x^(4/3) + 4*a*x^(1/3))/(b^4*x^2 + 2*a*b^3*x + a^2*b^2) + 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(b^3*(a/b)^(2/3)) - 1/9*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*(a/b)^(2/3)) + 2/9*log(x^(1/3) + (a/b)^(1/3))/(b^3*(a/b)^(2/3))","A",0
692,1,153,0,2.921696," ","integrate(x^(2/3)/(b*x+a)^3,x, algorithm=""maxima"")","\frac{2 \, b x^{\frac{5}{3}} - a x^{\frac{2}{3}}}{6 \, {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/6*(2*b*x^(5/3) - a*x^(2/3))/(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b) + 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(a*b^2*(a/b)^(1/3)) + 1/18*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(a*b^2*(a/b)^(1/3)) - 1/9*log(x^(1/3) + (a/b)^(1/3))/(a*b^2*(a/b)^(1/3))","A",0
693,1,152,0,2.958936," ","integrate(x^(1/3)/(b*x+a)^3,x, algorithm=""maxima"")","\frac{b x^{\frac{4}{3}} - 2 \, a x^{\frac{1}{3}}}{6 \, {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/6*(b*x^(4/3) - 2*a*x^(1/3))/(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b) + 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(a*b^2*(a/b)^(2/3)) - 1/18*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(a*b^2*(a/b)^(2/3)) + 1/9*log(x^(1/3) + (a/b)^(1/3))/(a*b^2*(a/b)^(2/3))","A",0
694,1,151,0,2.962569," ","integrate(1/x^(1/3)/(b*x+a)^3,x, algorithm=""maxima"")","\frac{4 \, b x^{\frac{5}{3}} + 7 \, a x^{\frac{2}{3}}}{6 \, {\left(a^{2} b^{2} x^{2} + 2 \, a^{3} b x + a^{4}\right)}} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{2 \, \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/6*(4*b*x^(5/3) + 7*a*x^(2/3))/(a^2*b^2*x^2 + 2*a^3*b*x + a^4) + 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*b*(a/b)^(1/3)) + 1/9*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*b*(a/b)^(1/3)) - 2/9*log(x^(1/3) + (a/b)^(1/3))/(a^2*b*(a/b)^(1/3))","A",0
695,1,151,0,2.996645," ","integrate(1/x^(2/3)/(b*x+a)^3,x, algorithm=""maxima"")","\frac{5 \, b x^{\frac{4}{3}} + 8 \, a x^{\frac{1}{3}}}{6 \, {\left(a^{2} b^{2} x^{2} + 2 \, a^{3} b x + a^{4}\right)}} + \frac{5 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{5 \, \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{5 \, \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/6*(5*b*x^(4/3) + 8*a*x^(1/3))/(a^2*b^2*x^2 + 2*a^3*b*x + a^4) + 5/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*b*(a/b)^(2/3)) - 5/18*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*b*(a/b)^(2/3)) + 5/9*log(x^(1/3) + (a/b)^(1/3))/(a^2*b*(a/b)^(2/3))","A",0
696,1,154,0,2.988957," ","integrate(1/x^(4/3)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{28 \, b^{2} x^{2} + 49 \, a b x + 18 \, a^{2}}{6 \, {\left(a^{3} b^{2} x^{\frac{7}{3}} + 2 \, a^{4} b x^{\frac{4}{3}} + a^{5} x^{\frac{1}{3}}\right)}} - \frac{14 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{7 \, \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \, a^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{14 \, \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/6*(28*b^2*x^2 + 49*a*b*x + 18*a^2)/(a^3*b^2*x^(7/3) + 2*a^4*b*x^(4/3) + a^5*x^(1/3)) - 14/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(a^3*(a/b)^(1/3)) - 7/9*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(a^3*(a/b)^(1/3)) + 14/9*log(x^(1/3) + (a/b)^(1/3))/(a^3*(a/b)^(1/3))","A",0
697,1,154,0,2.991442," ","integrate(1/x^(5/3)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{20 \, b^{2} x^{2} + 32 \, a b x + 9 \, a^{2}}{6 \, {\left(a^{3} b^{2} x^{\frac{8}{3}} + 2 \, a^{4} b x^{\frac{5}{3}} + a^{5} x^{\frac{2}{3}}\right)}} - \frac{20 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{10 \, \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \, a^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{20 \, \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/6*(20*b^2*x^2 + 32*a*b*x + 9*a^2)/(a^3*b^2*x^(8/3) + 2*a^4*b*x^(5/3) + a^5*x^(2/3)) - 20/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - (a/b)^(1/3))/(a/b)^(1/3))/(a^3*(a/b)^(2/3)) + 10/9*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3))/(a^3*(a/b)^(2/3)) - 20/9*log(x^(1/3) + (a/b)^(1/3))/(a^3*(a/b)^(2/3))","A",0
698,1,61,0,2.909363," ","integrate((1-x)^(1/4)/(1+x),x, algorithm=""maxima"")","-2 \cdot 2^{\frac{1}{4}} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}\right) + 2^{\frac{1}{4}} \log\left(-\frac{2^{\frac{1}{4}} - {\left(-x + 1\right)}^{\frac{1}{4}}}{2^{\frac{1}{4}} + {\left(-x + 1\right)}^{\frac{1}{4}}}\right) + 4 \, {\left(-x + 1\right)}^{\frac{1}{4}}"," ",0,"-2*2^(1/4)*arctan(1/2*2^(3/4)*(-x + 1)^(1/4)) + 2^(1/4)*log(-(2^(1/4) - (-x + 1)^(1/4))/(2^(1/4) + (-x + 1)^(1/4))) + 4*(-x + 1)^(1/4)","A",0
699,1,187,0,1.387365," ","integrate(x^m*(b*x+a)^10,x, algorithm=""maxima"")","\frac{b^{10} x^{m + 11}}{m + 11} + \frac{10 \, a b^{9} x^{m + 10}}{m + 10} + \frac{45 \, a^{2} b^{8} x^{m + 9}}{m + 9} + \frac{120 \, a^{3} b^{7} x^{m + 8}}{m + 8} + \frac{210 \, a^{4} b^{6} x^{m + 7}}{m + 7} + \frac{252 \, a^{5} b^{5} x^{m + 6}}{m + 6} + \frac{210 \, a^{6} b^{4} x^{m + 5}}{m + 5} + \frac{120 \, a^{7} b^{3} x^{m + 4}}{m + 4} + \frac{45 \, a^{8} b^{2} x^{m + 3}}{m + 3} + \frac{10 \, a^{9} b x^{m + 2}}{m + 2} + \frac{a^{10} x^{m + 1}}{m + 1}"," ",0,"b^10*x^(m + 11)/(m + 11) + 10*a*b^9*x^(m + 10)/(m + 10) + 45*a^2*b^8*x^(m + 9)/(m + 9) + 120*a^3*b^7*x^(m + 8)/(m + 8) + 210*a^4*b^6*x^(m + 7)/(m + 7) + 252*a^5*b^5*x^(m + 6)/(m + 6) + 210*a^6*b^4*x^(m + 5)/(m + 5) + 120*a^7*b^3*x^(m + 4)/(m + 4) + 45*a^8*b^2*x^(m + 3)/(m + 3) + 10*a^9*b*x^(m + 2)/(m + 2) + a^10*x^(m + 1)/(m + 1)","A",0
700,1,133,0,1.366424," ","integrate(x^m*(b*x+a)^7,x, algorithm=""maxima"")","\frac{b^{7} x^{m + 8}}{m + 8} + \frac{7 \, a b^{6} x^{m + 7}}{m + 7} + \frac{21 \, a^{2} b^{5} x^{m + 6}}{m + 6} + \frac{35 \, a^{3} b^{4} x^{m + 5}}{m + 5} + \frac{35 \, a^{4} b^{3} x^{m + 4}}{m + 4} + \frac{21 \, a^{5} b^{2} x^{m + 3}}{m + 3} + \frac{7 \, a^{6} b x^{m + 2}}{m + 2} + \frac{a^{7} x^{m + 1}}{m + 1}"," ",0,"b^7*x^(m + 8)/(m + 8) + 7*a*b^6*x^(m + 7)/(m + 7) + 21*a^2*b^5*x^(m + 6)/(m + 6) + 35*a^3*b^4*x^(m + 5)/(m + 5) + 35*a^4*b^3*x^(m + 4)/(m + 4) + 21*a^5*b^2*x^(m + 3)/(m + 3) + 7*a^6*b*x^(m + 2)/(m + 2) + a^7*x^(m + 1)/(m + 1)","A",0
701,1,61,0,1.298872," ","integrate(x^m*(b*x+a)^3,x, algorithm=""maxima"")","\frac{b^{3} x^{m + 4}}{m + 4} + \frac{3 \, a b^{2} x^{m + 3}}{m + 3} + \frac{3 \, a^{2} b x^{m + 2}}{m + 2} + \frac{a^{3} x^{m + 1}}{m + 1}"," ",0,"b^3*x^(m + 4)/(m + 4) + 3*a*b^2*x^(m + 3)/(m + 3) + 3*a^2*b*x^(m + 2)/(m + 2) + a^3*x^(m + 1)/(m + 1)","A",0
702,1,43,0,1.323404," ","integrate(x^m*(b*x+a)^2,x, algorithm=""maxima"")","\frac{b^{2} x^{m + 3}}{m + 3} + \frac{2 \, a b x^{m + 2}}{m + 2} + \frac{a^{2} x^{m + 1}}{m + 1}"," ",0,"b^2*x^(m + 3)/(m + 3) + 2*a*b*x^(m + 2)/(m + 2) + a^2*x^(m + 1)/(m + 1)","A",0
703,1,25,0,1.354403," ","integrate(x^m*(b*x+a),x, algorithm=""maxima"")","\frac{b x^{m + 2}}{m + 2} + \frac{a x^{m + 1}}{m + 1}"," ",0,"b*x^(m + 2)/(m + 2) + a*x^(m + 1)/(m + 1)","A",0
704,0,0,0,0.000000," ","integrate(x^m/(b*x+a),x, algorithm=""maxima"")","\int \frac{x^{m}}{b x + a}\,{d x}"," ",0,"integrate(x^m/(b*x + a), x)","F",0
705,0,0,0,0.000000," ","integrate(x^m/(b*x+a)^2,x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^m/(b*x + a)^2, x)","F",0
706,0,0,0,0.000000," ","integrate(x^m/(b*x+a)^3,x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x + a\right)}^{3}}\,{d x}"," ",0,"integrate(x^m/(b*x + a)^3, x)","F",0
707,0,0,0,0.000000," ","integrate(x^m*(b*x+a)^(5/2),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{5}{2}} x^{m}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)*x^m, x)","F",0
708,0,0,0,0.000000," ","integrate(x^m*(b*x+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{3}{2}} x^{m}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*x^m, x)","F",0
709,0,0,0,0.000000," ","integrate(x^m*(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x + a} x^{m}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*x^m, x)","F",0
710,0,0,0,0.000000," ","integrate(x^m/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^m/sqrt(b*x + a), x)","F",0
711,0,0,0,0.000000," ","integrate(x^m/(b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^m/(b*x + a)^(3/2), x)","F",0
712,0,0,0,0.000000," ","integrate(x^m/(b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^m/(b*x + a)^(5/2), x)","F",0
713,0,0,0,0.000000," ","integrate(x^(2+m)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m + 2}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^(m + 2)/sqrt(b*x + a), x)","F",0
714,0,0,0,0.000000," ","integrate(x^(1+m)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m + 1}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^(m + 1)/sqrt(b*x + a), x)","F",0
715,0,0,0,0.000000," ","integrate(x^m/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^m/sqrt(b*x + a), x)","F",0
716,0,0,0,0.000000," ","integrate(x^(-1+m)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m - 1}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^(m - 1)/sqrt(b*x + a), x)","F",0
717,0,0,0,0.000000," ","integrate(x^(-2+m)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m - 2}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^(m - 2)/sqrt(b*x + a), x)","F",0
718,0,0,0,0.000000," ","integrate(x^(-3+m)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m - 3}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^(m - 3)/sqrt(b*x + a), x)","F",0
719,0,0,0,0.000000," ","integrate(x^m/(2+3*x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate(x^m/sqrt(3*x + 2), x)","F",0
720,0,0,0,0.000000," ","integrate(x^m/(2-3*x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate(x^m/sqrt(-3*x + 2), x)","F",0
721,0,0,0,0.000000," ","integrate(x^m/(-2+3*x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{3 \, x - 2}}\,{d x}"," ",0,"integrate(x^m/sqrt(3*x - 2), x)","F",0
722,0,0,0,0.000000," ","integrate(x^m/(-2-3*x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{-3 \, x - 2}}\,{d x}"," ",0,"integrate(x^m/sqrt(-3*x - 2), x)","F",0
723,0,0,0,0.000000," ","integrate((-x)^m/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(-x\right)^{m}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((-x)^m/sqrt(b*x + a), x)","F",0
724,0,0,0,0.000000," ","integrate((-x)^m/(2+3*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(-x\right)^{m}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((-x)^m/sqrt(3*x + 2), x)","F",0
725,0,0,0,0.000000," ","integrate((-x)^m/(2-3*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(-x\right)^{m}}{\sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate((-x)^m/sqrt(-3*x + 2), x)","F",0
726,0,0,0,0.000000," ","integrate((-x)^m/(-2+3*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(-x\right)^{m}}{\sqrt{3 \, x - 2}}\,{d x}"," ",0,"integrate((-x)^m/sqrt(3*x - 2), x)","F",0
727,0,0,0,0.000000," ","integrate((-x)^m/(-2-3*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(-x\right)^{m}}{\sqrt{-3 \, x - 2}}\,{d x}"," ",0,"integrate((-x)^m/sqrt(-3*x - 2), x)","F",0
728,0,0,0,0.000000," ","integrate(x^n/(1-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{n}}{\sqrt{-x + 1}}\,{d x}"," ",0,"integrate(x^n/sqrt(-x + 1), x)","F",0
729,0,0,0,0.000000," ","integrate(x^n/(-a*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{n}}{\sqrt{-a x + a}}\,{d x}"," ",0,"integrate(x^n/sqrt(-a*x + a), x)","F",0
730,0,0,0,0.000000," ","integrate(x^m*(b*x+a)^n,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n} x^{m}\,{d x}"," ",0,"integrate((b*x + a)^n*x^m, x)","F",0
731,0,0,0,0.000000," ","integrate((c*x)^m*(b*x+a)^n,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n} \left(c x\right)^{m}\,{d x}"," ",0,"integrate((b*x + a)^n*(c*x)^m, x)","F",0
732,1,101,0,1.363912," ","integrate(x^3*(b*x+a)^n,x, algorithm=""maxima"")","\frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b n x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4}}"," ",0,"((n^3 + 6*n^2 + 11*n + 6)*b^4*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*x^3 - 3*(n^2 + n)*a^2*b^2*x^2 + 6*a^3*b*n*x - 6*a^4)*(b*x + a)^n/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4)","A",0
733,1,68,0,1.374433," ","integrate(x^2*(b*x+a)^n,x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{3} + {\left(n^{2} + n\right)} a b^{2} x^{2} - 2 \, a^{2} b n x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}}"," ",0,"((n^2 + 3*n + 2)*b^3*x^3 + (n^2 + n)*a*b^2*x^2 - 2*a^2*b*n*x + 2*a^3)*(b*x + a)^n/((n^3 + 6*n^2 + 11*n + 6)*b^3)","A",0
734,1,42,0,1.311088," ","integrate(x*(b*x+a)^n,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(n + 1\right)} x^{2} + a b n x - a^{2}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{2} + 3 \, n + 2\right)} b^{2}}"," ",0,"(b^2*(n + 1)*x^2 + a*b*n*x - a^2)*(b*x + a)^n/((n^2 + 3*n + 2)*b^2)","A",0
735,1,18,0,1.296102," ","integrate((b*x+a)^n,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{n + 1}}{b {\left(n + 1\right)}}"," ",0,"(b*x + a)^(n + 1)/(b*(n + 1))","A",0
736,0,0,0,0.000000," ","integrate((b*x+a)^n/x,x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((b*x + a)^n/x, x)","F",0
737,0,0,0,0.000000," ","integrate((b*x+a)^n/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{x^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n/x^2, x)","F",0
738,0,0,0,0.000000," ","integrate((b*x+a)^n/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{x^{3}}\,{d x}"," ",0,"integrate((b*x + a)^n/x^3, x)","F",0
739,0,0,0,0.000000," ","integrate(x^(-4+n)/((b*x+a)^n),x, algorithm=""maxima"")","\int \frac{x^{n - 4}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate(x^(n - 4)/(b*x + a)^n, x)","F",0
740,0,0,0,0.000000," ","integrate(x^(-3+n)/((b*x+a)^n),x, algorithm=""maxima"")","\int \frac{x^{n - 3}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate(x^(n - 3)/(b*x + a)^n, x)","F",0
741,0,0,0,0.000000," ","integrate(x^(-2+n)/((b*x+a)^n),x, algorithm=""maxima"")","\int \frac{x^{n - 2}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate(x^(n - 2)/(b*x + a)^n, x)","F",0
742,0,0,0,0.000000," ","integrate(x^(-1+n)/((b*x+a)^n),x, algorithm=""maxima"")","\int \frac{x^{n - 1}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate(x^(n - 1)/(b*x + a)^n, x)","F",0
743,0,0,0,0.000000," ","integrate(x^n/((b*x+a)^n),x, algorithm=""maxima"")","\int \frac{x^{n}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate(x^n/(b*x + a)^n, x)","F",0
744,0,0,0,0.000000," ","integrate(x^(1+n)/((b*x+a)^n),x, algorithm=""maxima"")","\int \frac{x^{n + 1}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate(x^(n + 1)/(b*x + a)^n, x)","F",0
745,0,0,0,0.000000," ","integrate(x^(3/2)*(b*x+a)^n,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n} x^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^(3/2), x)","F",0
746,0,0,0,0.000000," ","integrate(x^(1/2)*(b*x+a)^n,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n} \sqrt{x}\,{d x}"," ",0,"integrate((b*x + a)^n*sqrt(x), x)","F",0
747,0,0,0,0.000000," ","integrate((b*x+a)^n/x^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{\sqrt{x}}\,{d x}"," ",0,"integrate((b*x + a)^n/sqrt(x), x)","F",0
748,0,0,0,0.000000," ","integrate((b*x+a)^n/x^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n/x^(3/2), x)","F",0
749,0,0,0,0.000000," ","integrate((b*x+a)^n/x^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n/x^(5/2), x)","F",0
750,0,0,0,0.000000," ","integrate((b*x)^m*(d*x+2)^n,x, algorithm=""maxima"")","\int \left(b x\right)^{m} {\left(d x + 2\right)}^{n}\,{d x}"," ",0,"integrate((b*x)^m*(d*x + 2)^n, x)","F",0
751,0,0,0,0.000000," ","integrate((b*x)^m*(-b*c*x+c)^n,x, algorithm=""maxima"")","\int {\left(-b c x + c\right)}^{n} \left(b x\right)^{m}\,{d x}"," ",0,"integrate((-b*c*x + c)^n*(b*x)^m, x)","F",0
752,0,0,0,0.000000," ","integrate((b*x)^m*(d*x+c)^n,x, algorithm=""maxima"")","\int \left(b x\right)^{m} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x)^m*(d*x + c)^n, x)","F",0
753,1,22,0,1.302345," ","integrate(x^(-1+n)*(b*x+a)^(-1-n),x, algorithm=""maxima"")","\frac{e^{\left(-n \log\left(b x + a\right) + n \log\left(x\right)\right)}}{a n}"," ",0,"e^(-n*log(b*x + a) + n*log(x))/(a*n)","A",0
754,0,0,0,0.000000," ","integrate(x^(-3-n)*(b*x+a)^n,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n} x^{-n - 3}\,{d x}"," ",0,"integrate((b*x + a)^n*x^(-n - 3), x)","F",0
755,0,0,0,0.000000," ","integrate(x^(-3-n)*(b*x+a)^n,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n} x^{-n - 3}\,{d x}"," ",0,"integrate((b*x + a)^n*x^(-n - 3), x)","F",0
756,1,33,0,1.334439," ","integrate(x^3*(b*x+a)*(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{3}{2}} b x^{3}}{6 \, c} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} a x^{2}}{5 \, c}"," ",0,"1/6*(c*x^2)^(3/2)*b*x^3/c + 1/5*(c*x^2)^(3/2)*a*x^2/c","A",0
757,1,31,0,1.370141," ","integrate(x^2*(b*x+a)*(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{3}{2}} b x^{2}}{5 \, c} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} a x}{4 \, c}"," ",0,"1/5*(c*x^2)^(3/2)*b*x^2/c + 1/4*(c*x^2)^(3/2)*a*x/c","A",0
758,1,28,0,1.347690," ","integrate(x*(b*x+a)*(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{3}{2}} b x}{4 \, c} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} a}{3 \, c}"," ",0,"1/4*(c*x^2)^(3/2)*b*x/c + 1/3*(c*x^2)^(3/2)*a/c","A",0
759,1,25,0,1.316227," ","integrate((b*x+a)*(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2}} a x + \frac{\left(c x^{2}\right)^{\frac{3}{2}} b}{3 \, c}"," ",0,"1/2*sqrt(c*x^2)*a*x + 1/3*(c*x^2)^(3/2)*b/c","A",0
760,-2,0,0,0.000000," ","integrate((b*x+a)*(c*x^2)^(1/2)/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
761,-2,0,0,0.000000," ","integrate((b*x+a)*(c*x^2)^(1/2)/x^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
762,-2,0,0,0.000000," ","integrate((b*x+a)*(c*x^2)^(1/2)/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
763,-2,0,0,0.000000," ","integrate((b*x+a)*(c*x^2)^(1/2)/x^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
764,1,33,0,1.334555," ","integrate(x^3*(c*x^2)^(3/2)*(b*x+a),x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{5}{2}} b x^{3}}{8 \, c} + \frac{\left(c x^{2}\right)^{\frac{5}{2}} a x^{2}}{7 \, c}"," ",0,"1/8*(c*x^2)^(5/2)*b*x^3/c + 1/7*(c*x^2)^(5/2)*a*x^2/c","A",0
765,1,31,0,1.339158," ","integrate(x^2*(c*x^2)^(3/2)*(b*x+a),x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{5}{2}} b x^{2}}{7 \, c} + \frac{\left(c x^{2}\right)^{\frac{5}{2}} a x}{6 \, c}"," ",0,"1/7*(c*x^2)^(5/2)*b*x^2/c + 1/6*(c*x^2)^(5/2)*a*x/c","A",0
766,1,28,0,1.352990," ","integrate(x*(c*x^2)^(3/2)*(b*x+a),x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{5}{2}} b x}{6 \, c} + \frac{\left(c x^{2}\right)^{\frac{5}{2}} a}{5 \, c}"," ",0,"1/6*(c*x^2)^(5/2)*b*x/c + 1/5*(c*x^2)^(5/2)*a/c","A",0
767,1,25,0,1.296847," ","integrate((c*x^2)^(3/2)*(b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, \left(c x^{2}\right)^{\frac{3}{2}} a x + \frac{\left(c x^{2}\right)^{\frac{5}{2}} b}{5 \, c}"," ",0,"1/4*(c*x^2)^(3/2)*a*x + 1/5*(c*x^2)^(5/2)*b/c","A",0
768,1,22,0,1.335774," ","integrate((c*x^2)^(3/2)*(b*x+a)/x,x, algorithm=""maxima"")","\frac{1}{4} \, \left(c x^{2}\right)^{\frac{3}{2}} b x + \frac{1}{3} \, \left(c x^{2}\right)^{\frac{3}{2}} a"," ",0,"1/4*(c*x^2)^(3/2)*b*x + 1/3*(c*x^2)^(3/2)*a","A",0
769,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)/x^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
770,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
771,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)/x^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
772,1,33,0,1.244135," ","integrate(x^3*(c*x^2)^(5/2)*(b*x+a),x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{7}{2}} b x^{3}}{10 \, c} + \frac{\left(c x^{2}\right)^{\frac{7}{2}} a x^{2}}{9 \, c}"," ",0,"1/10*(c*x^2)^(7/2)*b*x^3/c + 1/9*(c*x^2)^(7/2)*a*x^2/c","A",0
773,1,31,0,1.304914," ","integrate(x^2*(c*x^2)^(5/2)*(b*x+a),x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{7}{2}} b x^{2}}{9 \, c} + \frac{\left(c x^{2}\right)^{\frac{7}{2}} a x}{8 \, c}"," ",0,"1/9*(c*x^2)^(7/2)*b*x^2/c + 1/8*(c*x^2)^(7/2)*a*x/c","A",0
774,1,28,0,1.351024," ","integrate(x*(c*x^2)^(5/2)*(b*x+a),x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{7}{2}} b x}{8 \, c} + \frac{\left(c x^{2}\right)^{\frac{7}{2}} a}{7 \, c}"," ",0,"1/8*(c*x^2)^(7/2)*b*x/c + 1/7*(c*x^2)^(7/2)*a/c","A",0
775,1,25,0,1.341091," ","integrate((c*x^2)^(5/2)*(b*x+a),x, algorithm=""maxima"")","\frac{1}{6} \, \left(c x^{2}\right)^{\frac{5}{2}} a x + \frac{\left(c x^{2}\right)^{\frac{7}{2}} b}{7 \, c}"," ",0,"1/6*(c*x^2)^(5/2)*a*x + 1/7*(c*x^2)^(7/2)*b/c","A",0
776,1,22,0,1.401901," ","integrate((c*x^2)^(5/2)*(b*x+a)/x,x, algorithm=""maxima"")","\frac{1}{6} \, \left(c x^{2}\right)^{\frac{5}{2}} b x + \frac{1}{5} \, \left(c x^{2}\right)^{\frac{5}{2}} a"," ",0,"1/6*(c*x^2)^(5/2)*b*x + 1/5*(c*x^2)^(5/2)*a","A",0
777,1,24,0,1.282594," ","integrate((c*x^2)^(5/2)*(b*x+a)/x^2,x, algorithm=""maxima"")","\frac{1}{5} \, \left(c x^{2}\right)^{\frac{5}{2}} b + \frac{\left(c x^{2}\right)^{\frac{5}{2}} a}{4 \, x}"," ",0,"1/5*(c*x^2)^(5/2)*b + 1/4*(c*x^2)^(5/2)*a/x","A",0
778,-2,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
779,-2,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)/x^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
780,1,33,0,1.403006," ","integrate(x^3*(b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2}} b x^{3}}{4 \, c} + \frac{\sqrt{c x^{2}} a x^{2}}{3 \, c}"," ",0,"1/4*sqrt(c*x^2)*b*x^3/c + 1/3*sqrt(c*x^2)*a*x^2/c","A",0
781,1,26,0,1.301413," ","integrate(x^2*(b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2}} b x^{2}}{3 \, c} + \frac{a x^{2}}{2 \, \sqrt{c}}"," ",0,"1/3*sqrt(c*x^2)*b*x^2/c + 1/2*a*x^2/sqrt(c)","A",0
782,1,22,0,1.301301," ","integrate(x*(b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{b x^{2}}{2 \, \sqrt{c}} + \frac{\sqrt{c x^{2}} a}{c}"," ",0,"1/2*b*x^2/sqrt(c) + sqrt(c*x^2)*a/c","A",0
783,1,20,0,1.324885," ","integrate((b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{a \log\left(x\right)}{\sqrt{c}} + \frac{\sqrt{c x^{2}} b}{c}"," ",0,"a*log(x)/sqrt(c) + sqrt(c*x^2)*b/c","A",0
784,1,17,0,1.326358," ","integrate((b*x+a)/x/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{b \log\left(x\right)}{\sqrt{c}} - \frac{a}{\sqrt{c} x}"," ",0,"b*log(x)/sqrt(c) - a/(sqrt(c)*x)","A",0
785,1,19,0,1.250742," ","integrate((b*x+a)/x^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{b}{\sqrt{c} x} - \frac{a}{2 \, \sqrt{c} x^{2}}"," ",0,"-b/(sqrt(c)*x) - 1/2*a/(sqrt(c)*x^2)","A",0
786,1,19,0,1.278654," ","integrate((b*x+a)/x^3/(c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{b}{2 \, \sqrt{c} x^{2}} - \frac{a}{3 \, \sqrt{c} x^{3}}"," ",0,"-1/2*b/(sqrt(c)*x^2) - 1/3*a/(sqrt(c)*x^3)","A",0
787,1,19,0,1.295920," ","integrate((b*x+a)/x^4/(c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{b}{3 \, \sqrt{c} x^{3}} - \frac{a}{4 \, \sqrt{c} x^{4}}"," ",0,"-1/3*b/(sqrt(c)*x^3) - 1/4*a/(sqrt(c)*x^4)","A",0
788,1,32,0,1.307135," ","integrate(x^3*(b*x+a)/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{b x^{3}}{2 \, \sqrt{c x^{2}} c} + \frac{a x^{2}}{\sqrt{c x^{2}} c}"," ",0,"1/2*b*x^3/(sqrt(c*x^2)*c) + a*x^2/(sqrt(c*x^2)*c)","A",0
789,1,23,0,1.345909," ","integrate(x^2*(b*x+a)/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{b x^{2}}{\sqrt{c x^{2}} c} + \frac{a \log\left(x\right)}{c^{\frac{3}{2}}}"," ",0,"b*x^2/(sqrt(c*x^2)*c) + a*log(x)/c^(3/2)","A",0
790,1,21,0,1.312483," ","integrate(x*(b*x+a)/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{b \log\left(x\right)}{c^{\frac{3}{2}}} - \frac{a}{\sqrt{c x^{2}} c}"," ",0,"b*log(x)/c^(3/2) - a/(sqrt(c*x^2)*c)","A",0
791,1,23,0,1.346350," ","integrate((b*x+a)/(c*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{b}{\sqrt{c x^{2}} c} - \frac{a}{2 \, c^{\frac{3}{2}} x^{2}}"," ",0,"-b/(sqrt(c*x^2)*c) - 1/2*a/(c^(3/2)*x^2)","A",0
792,1,19,0,1.318164," ","integrate((b*x+a)/x/(c*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{b}{2 \, c^{\frac{3}{2}} x^{2}} - \frac{a}{3 \, c^{\frac{3}{2}} x^{3}}"," ",0,"-1/2*b/(c^(3/2)*x^2) - 1/3*a/(c^(3/2)*x^3)","A",0
793,1,19,0,1.337603," ","integrate((b*x+a)/x^2/(c*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{b}{3 \, c^{\frac{3}{2}} x^{3}} - \frac{a}{4 \, c^{\frac{3}{2}} x^{4}}"," ",0,"-1/3*b/(c^(3/2)*x^3) - 1/4*a/(c^(3/2)*x^4)","A",0
794,1,19,0,1.278369," ","integrate((b*x+a)/x^3/(c*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{b}{4 \, c^{\frac{3}{2}} x^{4}} - \frac{a}{5 \, c^{\frac{3}{2}} x^{5}}"," ",0,"-1/4*b/(c^(3/2)*x^4) - 1/5*a/(c^(3/2)*x^5)","A",0
795,1,19,0,1.348083," ","integrate((b*x+a)/x^4/(c*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{b}{5 \, c^{\frac{3}{2}} x^{5}} - \frac{a}{6 \, c^{\frac{3}{2}} x^{6}}"," ",0,"-1/5*b/(c^(3/2)*x^5) - 1/6*a/(c^(3/2)*x^6)","A",0
796,1,24,0,1.429413," ","integrate(x^3*(b*x+a)/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{a x^{2}}{\left(c x^{2}\right)^{\frac{3}{2}} c} + \frac{b \log\left(x\right)}{c^{\frac{5}{2}}}"," ",0,"-a*x^2/((c*x^2)^(3/2)*c) + b*log(x)/c^(5/2)","A",0
797,1,26,0,1.342352," ","integrate(x^2*(b*x+a)/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{b x^{2}}{\left(c x^{2}\right)^{\frac{3}{2}} c} - \frac{a}{2 \, c^{\frac{5}{2}} x^{2}}"," ",0,"-b*x^2/((c*x^2)^(3/2)*c) - 1/2*a/(c^(5/2)*x^2)","A",0
798,1,23,0,1.387099," ","integrate(x*(b*x+a)/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{a}{3 \, \left(c x^{2}\right)^{\frac{3}{2}} c} - \frac{b}{2 \, c^{\frac{5}{2}} x^{2}}"," ",0,"-1/3*a/((c*x^2)^(3/2)*c) - 1/2*b/(c^(5/2)*x^2)","A",0
799,1,23,0,1.374222," ","integrate((b*x+a)/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{b}{3 \, \left(c x^{2}\right)^{\frac{3}{2}} c} - \frac{a}{4 \, c^{\frac{5}{2}} x^{4}}"," ",0,"-1/3*b/((c*x^2)^(3/2)*c) - 1/4*a/(c^(5/2)*x^4)","A",0
800,1,19,0,1.333605," ","integrate((b*x+a)/x/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{b}{4 \, c^{\frac{5}{2}} x^{4}} - \frac{a}{5 \, c^{\frac{5}{2}} x^{5}}"," ",0,"-1/4*b/(c^(5/2)*x^4) - 1/5*a/(c^(5/2)*x^5)","A",0
801,1,19,0,1.315690," ","integrate((b*x+a)/x^2/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{b}{5 \, c^{\frac{5}{2}} x^{5}} - \frac{a}{6 \, c^{\frac{5}{2}} x^{6}}"," ",0,"-1/5*b/(c^(5/2)*x^5) - 1/6*a/(c^(5/2)*x^6)","A",0
802,1,19,0,1.369964," ","integrate((b*x+a)/x^3/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{b}{6 \, c^{\frac{5}{2}} x^{6}} - \frac{a}{7 \, c^{\frac{5}{2}} x^{7}}"," ",0,"-1/6*b/(c^(5/2)*x^6) - 1/7*a/(c^(5/2)*x^7)","A",0
803,1,19,0,1.341627," ","integrate((b*x+a)/x^4/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{b}{7 \, c^{\frac{5}{2}} x^{7}} - \frac{a}{8 \, c^{\frac{5}{2}} x^{8}}"," ",0,"-1/7*b/(c^(5/2)*x^7) - 1/8*a/(c^(5/2)*x^8)","A",0
804,1,54,0,1.394697," ","integrate(x^3*(b*x+a)^2*(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{3}{2}} b^{2} x^{4}}{7 \, c} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} a b x^{3}}{3 \, c} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} a^{2} x^{2}}{5 \, c}"," ",0,"1/7*(c*x^2)^(3/2)*b^2*x^4/c + 1/3*(c*x^2)^(3/2)*a*b*x^3/c + 1/5*(c*x^2)^(3/2)*a^2*x^2/c","A",0
805,1,52,0,1.348255," ","integrate(x^2*(b*x+a)^2*(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{3}{2}} b^{2} x^{3}}{6 \, c} + \frac{2 \, \left(c x^{2}\right)^{\frac{3}{2}} a b x^{2}}{5 \, c} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} a^{2} x}{4 \, c}"," ",0,"1/6*(c*x^2)^(3/2)*b^2*x^3/c + 2/5*(c*x^2)^(3/2)*a*b*x^2/c + 1/4*(c*x^2)^(3/2)*a^2*x/c","A",0
806,1,49,0,1.310936," ","integrate(x*(b*x+a)^2*(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{3}{2}} b^{2} x^{2}}{5 \, c} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} a b x}{2 \, c} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} a^{2}}{3 \, c}"," ",0,"1/5*(c*x^2)^(3/2)*b^2*x^2/c + 1/2*(c*x^2)^(3/2)*a*b*x/c + 1/3*(c*x^2)^(3/2)*a^2/c","A",0
807,1,44,0,1.352399," ","integrate((b*x+a)^2*(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2}} a^{2} x + \frac{\left(c x^{2}\right)^{\frac{3}{2}} b^{2} x}{4 \, c} + \frac{2 \, \left(c x^{2}\right)^{\frac{3}{2}} a b}{3 \, c}"," ",0,"1/2*sqrt(c*x^2)*a^2*x + 1/4*(c*x^2)^(3/2)*b^2*x/c + 2/3*(c*x^2)^(3/2)*a*b/c","A",0
808,-2,0,0,0.000000," ","integrate((b*x+a)^2*(c*x^2)^(1/2)/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
809,-2,0,0,0.000000," ","integrate((b*x+a)^2*(c*x^2)^(1/2)/x^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
810,-2,0,0,0.000000," ","integrate((b*x+a)^2*(c*x^2)^(1/2)/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
811,-2,0,0,0.000000," ","integrate((b*x+a)^2*(c*x^2)^(1/2)/x^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
812,1,54,0,1.345227," ","integrate(x^3*(c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{5}{2}} b^{2} x^{4}}{9 \, c} + \frac{\left(c x^{2}\right)^{\frac{5}{2}} a b x^{3}}{4 \, c} + \frac{\left(c x^{2}\right)^{\frac{5}{2}} a^{2} x^{2}}{7 \, c}"," ",0,"1/9*(c*x^2)^(5/2)*b^2*x^4/c + 1/4*(c*x^2)^(5/2)*a*b*x^3/c + 1/7*(c*x^2)^(5/2)*a^2*x^2/c","A",0
813,1,52,0,1.328641," ","integrate(x^2*(c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{5}{2}} b^{2} x^{3}}{8 \, c} + \frac{2 \, \left(c x^{2}\right)^{\frac{5}{2}} a b x^{2}}{7 \, c} + \frac{\left(c x^{2}\right)^{\frac{5}{2}} a^{2} x}{6 \, c}"," ",0,"1/8*(c*x^2)^(5/2)*b^2*x^3/c + 2/7*(c*x^2)^(5/2)*a*b*x^2/c + 1/6*(c*x^2)^(5/2)*a^2*x/c","A",0
814,1,49,0,1.312189," ","integrate(x*(c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{5}{2}} b^{2} x^{2}}{7 \, c} + \frac{\left(c x^{2}\right)^{\frac{5}{2}} a b x}{3 \, c} + \frac{\left(c x^{2}\right)^{\frac{5}{2}} a^{2}}{5 \, c}"," ",0,"1/7*(c*x^2)^(5/2)*b^2*x^2/c + 1/3*(c*x^2)^(5/2)*a*b*x/c + 1/5*(c*x^2)^(5/2)*a^2/c","A",0
815,1,44,0,1.358806," ","integrate((c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{4} \, \left(c x^{2}\right)^{\frac{3}{2}} a^{2} x + \frac{\left(c x^{2}\right)^{\frac{5}{2}} b^{2} x}{6 \, c} + \frac{2 \, \left(c x^{2}\right)^{\frac{5}{2}} a b}{5 \, c}"," ",0,"1/4*(c*x^2)^(3/2)*a^2*x + 1/6*(c*x^2)^(5/2)*b^2*x/c + 2/5*(c*x^2)^(5/2)*a*b/c","A",0
816,1,40,0,1.296316," ","integrate((c*x^2)^(3/2)*(b*x+a)^2/x,x, algorithm=""maxima"")","\frac{1}{2} \, \left(c x^{2}\right)^{\frac{3}{2}} a b x + \frac{1}{3} \, \left(c x^{2}\right)^{\frac{3}{2}} a^{2} + \frac{\left(c x^{2}\right)^{\frac{5}{2}} b^{2}}{5 \, c}"," ",0,"1/2*(c*x^2)^(3/2)*a*b*x + 1/3*(c*x^2)^(3/2)*a^2 + 1/5*(c*x^2)^(5/2)*b^2/c","A",0
817,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)^2/x^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
818,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)^2/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
819,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)^2/x^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
820,1,49,0,1.344010," ","integrate(x*(c*x^2)^(5/2)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{7}{2}} b^{2} x^{2}}{9 \, c} + \frac{\left(c x^{2}\right)^{\frac{7}{2}} a b x}{4 \, c} + \frac{\left(c x^{2}\right)^{\frac{7}{2}} a^{2}}{7 \, c}"," ",0,"1/9*(c*x^2)^(7/2)*b^2*x^2/c + 1/4*(c*x^2)^(7/2)*a*b*x/c + 1/7*(c*x^2)^(7/2)*a^2/c","A",0
821,1,44,0,1.316650," ","integrate((c*x^2)^(5/2)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{6} \, \left(c x^{2}\right)^{\frac{5}{2}} a^{2} x + \frac{\left(c x^{2}\right)^{\frac{7}{2}} b^{2} x}{8 \, c} + \frac{2 \, \left(c x^{2}\right)^{\frac{7}{2}} a b}{7 \, c}"," ",0,"1/6*(c*x^2)^(5/2)*a^2*x + 1/8*(c*x^2)^(7/2)*b^2*x/c + 2/7*(c*x^2)^(7/2)*a*b/c","A",0
822,1,40,0,1.280790," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x,x, algorithm=""maxima"")","\frac{1}{3} \, \left(c x^{2}\right)^{\frac{5}{2}} a b x + \frac{1}{5} \, \left(c x^{2}\right)^{\frac{5}{2}} a^{2} + \frac{\left(c x^{2}\right)^{\frac{7}{2}} b^{2}}{7 \, c}"," ",0,"1/3*(c*x^2)^(5/2)*a*b*x + 1/5*(c*x^2)^(5/2)*a^2 + 1/7*(c*x^2)^(7/2)*b^2/c","A",0
823,1,40,0,1.374662," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^2,x, algorithm=""maxima"")","\frac{1}{6} \, \left(c x^{2}\right)^{\frac{5}{2}} b^{2} x + \frac{2}{5} \, \left(c x^{2}\right)^{\frac{5}{2}} a b + \frac{\left(c x^{2}\right)^{\frac{5}{2}} a^{2}}{4 \, x}"," ",0,"1/6*(c*x^2)^(5/2)*b^2*x + 2/5*(c*x^2)^(5/2)*a*b + 1/4*(c*x^2)^(5/2)*a^2/x","A",0
824,-2,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
825,-2,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
826,-2,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^5,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
827,-2,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^6,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
828,1,54,0,1.344644," ","integrate(x^3*(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2}} b^{2} x^{4}}{5 \, c} + \frac{\sqrt{c x^{2}} a b x^{3}}{2 \, c} + \frac{\sqrt{c x^{2}} a^{2} x^{2}}{3 \, c}"," ",0,"1/5*sqrt(c*x^2)*b^2*x^4/c + 1/2*sqrt(c*x^2)*a*b*x^3/c + 1/3*sqrt(c*x^2)*a^2*x^2/c","A",0
829,1,47,0,1.321946," ","integrate(x^2*(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2}} b^{2} x^{3}}{4 \, c} + \frac{2 \, \sqrt{c x^{2}} a b x^{2}}{3 \, c} + \frac{a^{2} x^{2}}{2 \, \sqrt{c}}"," ",0,"1/4*sqrt(c*x^2)*b^2*x^3/c + 2/3*sqrt(c*x^2)*a*b*x^2/c + 1/2*a^2*x^2/sqrt(c)","A",0
830,1,42,0,1.369743," ","integrate(x*(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2}} b^{2} x^{2}}{3 \, c} + \frac{a b x^{2}}{\sqrt{c}} + \frac{\sqrt{c x^{2}} a^{2}}{c}"," ",0,"1/3*sqrt(c*x^2)*b^2*x^2/c + a*b*x^2/sqrt(c) + sqrt(c*x^2)*a^2/c","B",0
831,1,35,0,1.347507," ","integrate((b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{b^{2} x^{2}}{2 \, \sqrt{c}} + \frac{a^{2} \log\left(x\right)}{\sqrt{c}} + \frac{2 \, \sqrt{c x^{2}} a b}{c}"," ",0,"1/2*b^2*x^2/sqrt(c) + a^2*log(x)/sqrt(c) + 2*sqrt(c*x^2)*a*b/c","A",0
832,1,35,0,1.356657," ","integrate((b*x+a)^2/x/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{2 \, a b \log\left(x\right)}{\sqrt{c}} + \frac{\sqrt{c x^{2}} b^{2}}{c} - \frac{a^{2}}{\sqrt{c} x}"," ",0,"2*a*b*log(x)/sqrt(c) + sqrt(c*x^2)*b^2/c - a^2/(sqrt(c)*x)","A",0
833,1,31,0,1.288608," ","integrate((b*x+a)^2/x^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{b^{2} \log\left(x\right)}{\sqrt{c}} - \frac{2 \, a b}{\sqrt{c} x} - \frac{a^{2}}{2 \, \sqrt{c} x^{2}}"," ",0,"b^2*log(x)/sqrt(c) - 2*a*b/(sqrt(c)*x) - 1/2*a^2/(sqrt(c)*x^2)","A",0
834,1,33,0,1.330209," ","integrate((b*x+a)^2/x^3/(c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{b^{2}}{\sqrt{c} x} - \frac{a b}{\sqrt{c} x^{2}} - \frac{a^{2}}{3 \, \sqrt{c} x^{3}}"," ",0,"-b^2/(sqrt(c)*x) - a*b/(sqrt(c)*x^2) - 1/3*a^2/(sqrt(c)*x^3)","A",0
835,1,33,0,1.325694," ","integrate((b*x+a)^2/x^4/(c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{b^{2}}{2 \, \sqrt{c} x^{2}} - \frac{2 \, a b}{3 \, \sqrt{c} x^{3}} - \frac{a^{2}}{4 \, \sqrt{c} x^{4}}"," ",0,"-1/2*b^2/(sqrt(c)*x^2) - 2/3*a*b/(sqrt(c)*x^3) - 1/4*a^2/(sqrt(c)*x^4)","A",0
836,1,52,0,1.355872," ","integrate(x^3*(b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{b^{2} x^{4}}{3 \, \sqrt{c x^{2}} c} + \frac{a b x^{3}}{\sqrt{c x^{2}} c} + \frac{a^{2} x^{2}}{\sqrt{c x^{2}} c}"," ",0,"1/3*b^2*x^4/(sqrt(c*x^2)*c) + a*b*x^3/(sqrt(c*x^2)*c) + a^2*x^2/(sqrt(c*x^2)*c)","B",0
837,1,45,0,1.331185," ","integrate(x^2*(b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{b^{2} x^{3}}{2 \, \sqrt{c x^{2}} c} + \frac{2 \, a b x^{2}}{\sqrt{c x^{2}} c} + \frac{a^{2} \log\left(x\right)}{c^{\frac{3}{2}}}"," ",0,"1/2*b^2*x^3/(sqrt(c*x^2)*c) + 2*a*b*x^2/(sqrt(c*x^2)*c) + a^2*log(x)/c^(3/2)","A",0
838,1,42,0,1.378743," ","integrate(x*(b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{b^{2} x^{2}}{\sqrt{c x^{2}} c} + \frac{2 \, a b \log\left(x\right)}{c^{\frac{3}{2}}} - \frac{a^{2}}{\sqrt{c x^{2}} c}"," ",0,"b^2*x^2/(sqrt(c*x^2)*c) + 2*a*b*log(x)/c^(3/2) - a^2/(sqrt(c*x^2)*c)","A",0
839,1,35,0,1.326505," ","integrate((b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{b^{2} \log\left(x\right)}{c^{\frac{3}{2}}} - \frac{2 \, a b}{\sqrt{c x^{2}} c} - \frac{a^{2}}{2 \, c^{\frac{3}{2}} x^{2}}"," ",0,"b^2*log(x)/c^(3/2) - 2*a*b/(sqrt(c*x^2)*c) - 1/2*a^2/(c^(3/2)*x^2)","A",0
840,1,37,0,1.361129," ","integrate((b*x+a)^2/x/(c*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{b^{2}}{\sqrt{c x^{2}} c} - \frac{a b}{c^{\frac{3}{2}} x^{2}} - \frac{a^{2}}{3 \, c^{\frac{3}{2}} x^{3}}"," ",0,"-b^2/(sqrt(c*x^2)*c) - a*b/(c^(3/2)*x^2) - 1/3*a^2/(c^(3/2)*x^3)","A",0
841,1,33,0,1.309802," ","integrate((b*x+a)^2/x^2/(c*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{b^{2}}{2 \, c^{\frac{3}{2}} x^{2}} - \frac{2 \, a b}{3 \, c^{\frac{3}{2}} x^{3}} - \frac{a^{2}}{4 \, c^{\frac{3}{2}} x^{4}}"," ",0,"-1/2*b^2/(c^(3/2)*x^2) - 2/3*a*b/(c^(3/2)*x^3) - 1/4*a^2/(c^(3/2)*x^4)","A",0
842,1,33,0,1.358198," ","integrate((b*x+a)^2/x^3/(c*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{b^{2}}{3 \, c^{\frac{3}{2}} x^{3}} - \frac{a b}{2 \, c^{\frac{3}{2}} x^{4}} - \frac{a^{2}}{5 \, c^{\frac{3}{2}} x^{5}}"," ",0,"-1/3*b^2/(c^(3/2)*x^3) - 1/2*a*b/(c^(3/2)*x^4) - 1/5*a^2/(c^(3/2)*x^5)","A",0
843,1,33,0,1.292914," ","integrate((b*x+a)^2/x^4/(c*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{b^{2}}{4 \, c^{\frac{3}{2}} x^{4}} - \frac{2 \, a b}{5 \, c^{\frac{3}{2}} x^{5}} - \frac{a^{2}}{6 \, c^{\frac{3}{2}} x^{6}}"," ",0,"-1/4*b^2/(c^(3/2)*x^4) - 2/5*a*b/(c^(3/2)*x^5) - 1/6*a^2/(c^(3/2)*x^6)","A",0
844,1,45,0,1.450677," ","integrate(x^3*(b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""maxima"")","\frac{b^{2} x^{4}}{\left(c x^{2}\right)^{\frac{3}{2}} c} - \frac{a^{2} x^{2}}{\left(c x^{2}\right)^{\frac{3}{2}} c} + \frac{2 \, a b \log\left(x\right)}{c^{\frac{5}{2}}}"," ",0,"b^2*x^4/((c*x^2)^(3/2)*c) - a^2*x^2/((c*x^2)^(3/2)*c) + 2*a*b*log(x)/c^(5/2)","A",0
845,1,38,0,1.398243," ","integrate(x^2*(b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, a b x^{2}}{\left(c x^{2}\right)^{\frac{3}{2}} c} + \frac{b^{2} \log\left(x\right)}{c^{\frac{5}{2}}} - \frac{a^{2}}{2 \, c^{\frac{5}{2}} x^{2}}"," ",0,"-2*a*b*x^2/((c*x^2)^(3/2)*c) + b^2*log(x)/c^(5/2) - 1/2*a^2/(c^(5/2)*x^2)","A",0
846,1,44,0,1.376729," ","integrate(x*(b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{b^{2} x^{2}}{\left(c x^{2}\right)^{\frac{3}{2}} c} - \frac{a^{2}}{3 \, \left(c x^{2}\right)^{\frac{3}{2}} c} - \frac{a b}{c^{\frac{5}{2}} x^{2}}"," ",0,"-b^2*x^2/((c*x^2)^(3/2)*c) - 1/3*a^2/((c*x^2)^(3/2)*c) - a*b/(c^(5/2)*x^2)","A",0
847,1,37,0,1.356659," ","integrate((b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, a b}{3 \, \left(c x^{2}\right)^{\frac{3}{2}} c} - \frac{b^{2}}{2 \, c^{\frac{5}{2}} x^{2}} - \frac{a^{2}}{4 \, c^{\frac{5}{2}} x^{4}}"," ",0,"-2/3*a*b/((c*x^2)^(3/2)*c) - 1/2*b^2/(c^(5/2)*x^2) - 1/4*a^2/(c^(5/2)*x^4)","A",0
848,1,37,0,1.308564," ","integrate((b*x+a)^2/x/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{b^{2}}{3 \, \left(c x^{2}\right)^{\frac{3}{2}} c} - \frac{a b}{2 \, c^{\frac{5}{2}} x^{4}} - \frac{a^{2}}{5 \, c^{\frac{5}{2}} x^{5}}"," ",0,"-1/3*b^2/((c*x^2)^(3/2)*c) - 1/2*a*b/(c^(5/2)*x^4) - 1/5*a^2/(c^(5/2)*x^5)","A",0
849,1,33,0,1.344626," ","integrate((b*x+a)^2/x^2/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{b^{2}}{4 \, c^{\frac{5}{2}} x^{4}} - \frac{2 \, a b}{5 \, c^{\frac{5}{2}} x^{5}} - \frac{a^{2}}{6 \, c^{\frac{5}{2}} x^{6}}"," ",0,"-1/4*b^2/(c^(5/2)*x^4) - 2/5*a*b/(c^(5/2)*x^5) - 1/6*a^2/(c^(5/2)*x^6)","A",0
850,1,33,0,1.369070," ","integrate((b*x+a)^2/x^3/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{b^{2}}{5 \, c^{\frac{5}{2}} x^{5}} - \frac{a b}{3 \, c^{\frac{5}{2}} x^{6}} - \frac{a^{2}}{7 \, c^{\frac{5}{2}} x^{7}}"," ",0,"-1/5*b^2/(c^(5/2)*x^5) - 1/3*a*b/(c^(5/2)*x^6) - 1/7*a^2/(c^(5/2)*x^7)","A",0
851,1,33,0,1.352330," ","integrate((b*x+a)^2/x^4/(c*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{b^{2}}{6 \, c^{\frac{5}{2}} x^{6}} - \frac{2 \, a b}{7 \, c^{\frac{5}{2}} x^{7}} - \frac{a^{2}}{8 \, c^{\frac{5}{2}} x^{8}}"," ",0,"-1/6*b^2/(c^(5/2)*x^6) - 2/7*a*b/(c^(5/2)*x^7) - 1/8*a^2/(c^(5/2)*x^8)","A",0
852,1,128,0,1.570496," ","integrate(x^3*(c*x^2)^(1/2)/(b*x+a),x, algorithm=""maxima"")","\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a^{4} \sqrt{c} \log\left(\frac{2 \, c x}{b}\right)}{b^{5}} + \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{4} \sqrt{c} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{5}} + \frac{\sqrt{c x^{2}} a^{2} x}{2 \, b^{3}} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} x}{4 \, b c} - \frac{\sqrt{c x^{2}} a^{3}}{b^{4}} - \frac{\left(c x^{2}\right)^{\frac{3}{2}} a}{3 \, b^{2} c}"," ",0,"(-1)^(2*c*x/b)*a^4*sqrt(c)*log(2*c*x/b)/b^5 + (-1)^(2*a*c*x/b)*a^4*sqrt(c)*log(-2*a*c*x/(b*abs(b*x + a)))/b^5 + 1/2*sqrt(c*x^2)*a^2*x/b^3 + 1/4*(c*x^2)^(3/2)*x/(b*c) - sqrt(c*x^2)*a^3/b^4 - 1/3*(c*x^2)^(3/2)*a/(b^2*c)","A",0
853,1,110,0,1.561388," ","integrate(x^2*(c*x^2)^(1/2)/(b*x+a),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a^{3} \sqrt{c} \log\left(\frac{2 \, c x}{b}\right)}{b^{4}} - \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{3} \sqrt{c} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{4}} - \frac{\sqrt{c x^{2}} a x}{2 \, b^{2}} + \frac{\sqrt{c x^{2}} a^{2}}{b^{3}} + \frac{\left(c x^{2}\right)^{\frac{3}{2}}}{3 \, b c}"," ",0,"-(-1)^(2*c*x/b)*a^3*sqrt(c)*log(2*c*x/b)/b^4 - (-1)^(2*a*c*x/b)*a^3*sqrt(c)*log(-2*a*c*x/(b*abs(b*x + a)))/b^4 - 1/2*sqrt(c*x^2)*a*x/b^2 + sqrt(c*x^2)*a^2/b^3 + 1/3*(c*x^2)^(3/2)/(b*c)","A",0
854,1,91,0,1.494263," ","integrate(x*(c*x^2)^(1/2)/(b*x+a),x, algorithm=""maxima"")","\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a^{2} \sqrt{c} \log\left(\frac{2 \, c x}{b}\right)}{b^{3}} + \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{2} \sqrt{c} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{3}} + \frac{\sqrt{c x^{2}} x}{2 \, b} - \frac{\sqrt{c x^{2}} a}{b^{2}}"," ",0,"(-1)^(2*c*x/b)*a^2*sqrt(c)*log(2*c*x/b)/b^3 + (-1)^(2*a*c*x/b)*a^2*sqrt(c)*log(-2*a*c*x/(b*abs(b*x + a)))/b^3 + 1/2*sqrt(c*x^2)*x/b - sqrt(c*x^2)*a/b^2","A",0
855,1,74,0,1.451412," ","integrate((c*x^2)^(1/2)/(b*x+a),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a \sqrt{c} \log\left(\frac{2 \, c x}{b}\right)}{b^{2}} - \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a \sqrt{c} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{2}} + \frac{\sqrt{c x^{2}}}{b}"," ",0,"-(-1)^(2*c*x/b)*a*sqrt(c)*log(2*c*x/b)/b^2 - (-1)^(2*a*c*x/b)*a*sqrt(c)*log(-2*a*c*x/(b*abs(b*x + a)))/b^2 + sqrt(c*x^2)/b","B",0
856,-2,0,0,0.000000," ","integrate((c*x^2)^(1/2)/x/(b*x+a),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
857,1,24,0,1.375624," ","integrate((c*x^2)^(1/2)/x^2/(b*x+a),x, algorithm=""maxima"")","-\frac{\sqrt{c} \log\left(b x + a\right)}{a} + \frac{\sqrt{c} \log\left(x\right)}{a}"," ",0,"-sqrt(c)*log(b*x + a)/a + sqrt(c)*log(x)/a","A",0
858,1,37,0,1.383881," ","integrate((c*x^2)^(1/2)/x^3/(b*x+a),x, algorithm=""maxima"")","\frac{b \sqrt{c} \log\left(b x + a\right)}{a^{2}} - \frac{b \sqrt{c} \log\left(x\right)}{a^{2}} - \frac{\sqrt{c}}{a x}"," ",0,"b*sqrt(c)*log(b*x + a)/a^2 - b*sqrt(c)*log(x)/a^2 - sqrt(c)/(a*x)","A",0
859,1,52,0,1.360853," ","integrate((c*x^2)^(1/2)/x^4/(b*x+a),x, algorithm=""maxima"")","-\frac{b^{2} \sqrt{c} \log\left(b x + a\right)}{a^{3}} + \frac{b^{2} \sqrt{c} \log\left(x\right)}{a^{3}} + \frac{2 \, b \sqrt{c} x - a \sqrt{c}}{2 \, a^{2} x^{2}}"," ",0,"-b^2*sqrt(c)*log(b*x + a)/a^3 + b^2*sqrt(c)*log(x)/a^3 + 1/2*(2*b*sqrt(c)*x - a*sqrt(c))/(a^2*x^2)","A",0
860,1,124,0,1.618732," ","integrate(x*(c*x^2)^(3/2)/(b*x+a),x, algorithm=""maxima"")","\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a^{4} c^{\frac{3}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{5}} + \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{4} c^{\frac{3}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{5}} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} x}{4 \, b} + \frac{\sqrt{c x^{2}} a^{2} c x}{2 \, b^{3}} - \frac{\left(c x^{2}\right)^{\frac{3}{2}} a}{3 \, b^{2}} - \frac{\sqrt{c x^{2}} a^{3} c}{b^{4}}"," ",0,"(-1)^(2*c*x/b)*a^4*c^(3/2)*log(2*c*x/b)/b^5 + (-1)^(2*a*c*x/b)*a^4*c^(3/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^5 + 1/4*(c*x^2)^(3/2)*x/b + 1/2*sqrt(c*x^2)*a^2*c*x/b^3 - 1/3*(c*x^2)^(3/2)*a/b^2 - sqrt(c*x^2)*a^3*c/b^4","A",0
861,1,109,0,1.541315," ","integrate((c*x^2)^(3/2)/(b*x+a),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a^{3} c^{\frac{3}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{4}} - \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{3} c^{\frac{3}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{4}} - \frac{\sqrt{c x^{2}} a c x}{2 \, b^{2}} + \frac{\left(c x^{2}\right)^{\frac{3}{2}}}{3 \, b} + \frac{\sqrt{c x^{2}} a^{2} c}{b^{3}}"," ",0,"-(-1)^(2*c*x/b)*a^3*c^(3/2)*log(2*c*x/b)/b^4 - (-1)^(2*a*c*x/b)*a^3*c^(3/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^4 - 1/2*sqrt(c*x^2)*a*c*x/b^2 + 1/3*(c*x^2)^(3/2)/b + sqrt(c*x^2)*a^2*c/b^3","A",0
862,1,93,0,1.481826," ","integrate((c*x^2)^(3/2)/x/(b*x+a),x, algorithm=""maxima"")","\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a^{2} c^{\frac{3}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{3}} + \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{2} c^{\frac{3}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{3}} + \frac{\sqrt{c x^{2}} c x}{2 \, b} - \frac{\sqrt{c x^{2}} a c}{b^{2}}"," ",0,"(-1)^(2*c*x/b)*a^2*c^(3/2)*log(2*c*x/b)/b^3 + (-1)^(2*a*c*x/b)*a^2*c^(3/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^3 + 1/2*sqrt(c*x^2)*c*x/b - sqrt(c*x^2)*a*c/b^2","A",0
863,1,75,0,1.478873," ","integrate((c*x^2)^(3/2)/x^2/(b*x+a),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a c^{\frac{3}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{2}} - \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a c^{\frac{3}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{2}} + \frac{\sqrt{c x^{2}} c}{b}"," ",0,"-(-1)^(2*c*x/b)*a*c^(3/2)*log(2*c*x/b)/b^2 - (-1)^(2*a*c*x/b)*a*c^(3/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^2 + sqrt(c*x^2)*c/b","B",0
864,1,13,0,1.357195," ","integrate((c*x^2)^(3/2)/x^3/(b*x+a),x, algorithm=""maxima"")","\frac{c^{\frac{3}{2}} \log\left(b x + a\right)}{b}"," ",0,"c^(3/2)*log(b*x + a)/b","A",0
865,1,24,0,1.380321," ","integrate((c*x^2)^(3/2)/x^4/(b*x+a),x, algorithm=""maxima"")","-\frac{c^{\frac{3}{2}} \log\left(b x + a\right)}{a} + \frac{c^{\frac{3}{2}} \log\left(x\right)}{a}"," ",0,"-c^(3/2)*log(b*x + a)/a + c^(3/2)*log(x)/a","A",0
866,1,37,0,1.356445," ","integrate((c*x^2)^(3/2)/x^5/(b*x+a),x, algorithm=""maxima"")","\frac{b c^{\frac{3}{2}} \log\left(b x + a\right)}{a^{2}} - \frac{b c^{\frac{3}{2}} \log\left(x\right)}{a^{2}} - \frac{c^{\frac{3}{2}}}{a x}"," ",0,"b*c^(3/2)*log(b*x + a)/a^2 - b*c^(3/2)*log(x)/a^2 - c^(3/2)/(a*x)","A",0
867,1,52,0,1.446060," ","integrate((c*x^2)^(3/2)/x^6/(b*x+a),x, algorithm=""maxima"")","-\frac{b^{2} c^{\frac{3}{2}} \log\left(b x + a\right)}{a^{3}} + \frac{b^{2} c^{\frac{3}{2}} \log\left(x\right)}{a^{3}} + \frac{2 \, b c^{\frac{3}{2}} x - a c^{\frac{3}{2}}}{2 \, a^{2} x^{2}}"," ",0,"-b^2*c^(3/2)*log(b*x + a)/a^3 + b^2*c^(3/2)*log(x)/a^3 + 1/2*(2*b*c^(3/2)*x - a*c^(3/2))/(a^2*x^2)","A",0
868,1,66,0,1.449490," ","integrate((c*x^2)^(3/2)/x^7/(b*x+a),x, algorithm=""maxima"")","\frac{b^{3} c^{\frac{3}{2}} \log\left(b x + a\right)}{a^{4}} - \frac{b^{3} c^{\frac{3}{2}} \log\left(x\right)}{a^{4}} - \frac{6 \, b^{2} c^{\frac{3}{2}} x^{2} - 3 \, a b c^{\frac{3}{2}} x + 2 \, a^{2} c^{\frac{3}{2}}}{6 \, a^{3} x^{3}}"," ",0,"b^3*c^(3/2)*log(b*x + a)/a^4 - b^3*c^(3/2)*log(x)/a^4 - 1/6*(6*b^2*c^(3/2)*x^2 - 3*a*b*c^(3/2)*x + 2*a^2*c^(3/2))/(a^3*x^3)","A",0
869,1,146,0,1.583811," ","integrate((c*x^2)^(5/2)/(b*x+a),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a^{5} c^{\frac{5}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{6}} - \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{5} c^{\frac{5}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{6}} - \frac{\left(c x^{2}\right)^{\frac{3}{2}} a c x}{4 \, b^{2}} - \frac{\sqrt{c x^{2}} a^{3} c^{2} x}{2 \, b^{4}} + \frac{\left(c x^{2}\right)^{\frac{5}{2}}}{5 \, b} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} a^{2} c}{3 \, b^{3}} + \frac{\sqrt{c x^{2}} a^{4} c^{2}}{b^{5}}"," ",0,"-(-1)^(2*c*x/b)*a^5*c^(5/2)*log(2*c*x/b)/b^6 - (-1)^(2*a*c*x/b)*a^5*c^(5/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^6 - 1/4*(c*x^2)^(3/2)*a*c*x/b^2 - 1/2*sqrt(c*x^2)*a^3*c^2*x/b^4 + 1/5*(c*x^2)^(5/2)/b + 1/3*(c*x^2)^(3/2)*a^2*c/b^3 + sqrt(c*x^2)*a^4*c^2/b^5","A",0
870,1,130,0,1.601710," ","integrate((c*x^2)^(5/2)/x/(b*x+a),x, algorithm=""maxima"")","\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a^{4} c^{\frac{5}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{5}} + \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{4} c^{\frac{5}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{5}} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} c x}{4 \, b} + \frac{\sqrt{c x^{2}} a^{2} c^{2} x}{2 \, b^{3}} - \frac{\left(c x^{2}\right)^{\frac{3}{2}} a c}{3 \, b^{2}} - \frac{\sqrt{c x^{2}} a^{3} c^{2}}{b^{4}}"," ",0,"(-1)^(2*c*x/b)*a^4*c^(5/2)*log(2*c*x/b)/b^5 + (-1)^(2*a*c*x/b)*a^4*c^(5/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^5 + 1/4*(c*x^2)^(3/2)*c*x/b + 1/2*sqrt(c*x^2)*a^2*c^2*x/b^3 - 1/3*(c*x^2)^(3/2)*a*c/b^2 - sqrt(c*x^2)*a^3*c^2/b^4","A",0
871,1,114,0,1.561754," ","integrate((c*x^2)^(5/2)/x^2/(b*x+a),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a^{3} c^{\frac{5}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{4}} - \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{3} c^{\frac{5}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{4}} - \frac{\sqrt{c x^{2}} a c^{2} x}{2 \, b^{2}} + \frac{\left(c x^{2}\right)^{\frac{3}{2}} c}{3 \, b} + \frac{\sqrt{c x^{2}} a^{2} c^{2}}{b^{3}}"," ",0,"-(-1)^(2*c*x/b)*a^3*c^(5/2)*log(2*c*x/b)/b^4 - (-1)^(2*a*c*x/b)*a^3*c^(5/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^4 - 1/2*sqrt(c*x^2)*a*c^2*x/b^2 + 1/3*(c*x^2)^(3/2)*c/b + sqrt(c*x^2)*a^2*c^2/b^3","A",0
872,1,97,0,1.495996," ","integrate((c*x^2)^(5/2)/x^3/(b*x+a),x, algorithm=""maxima"")","\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a^{2} c^{\frac{5}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{3}} + \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{2} c^{\frac{5}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{3}} + \frac{\sqrt{c x^{2}} c^{2} x}{2 \, b} - \frac{\sqrt{c x^{2}} a c^{2}}{b^{2}}"," ",0,"(-1)^(2*c*x/b)*a^2*c^(5/2)*log(2*c*x/b)/b^3 + (-1)^(2*a*c*x/b)*a^2*c^(5/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^3 + 1/2*sqrt(c*x^2)*c^2*x/b - sqrt(c*x^2)*a*c^2/b^2","A",0
873,1,77,0,1.511680," ","integrate((c*x^2)^(5/2)/x^4/(b*x+a),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{\frac{2 \, c x}{b}} a c^{\frac{5}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{2}} - \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a c^{\frac{5}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{2}} + \frac{\sqrt{c x^{2}} c^{2}}{b}"," ",0,"-(-1)^(2*c*x/b)*a*c^(5/2)*log(2*c*x/b)/b^2 - (-1)^(2*a*c*x/b)*a*c^(5/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^2 + sqrt(c*x^2)*c^2/b","A",0
874,1,13,0,1.359073," ","integrate((c*x^2)^(5/2)/x^5/(b*x+a),x, algorithm=""maxima"")","\frac{c^{\frac{5}{2}} \log\left(b x + a\right)}{b}"," ",0,"c^(5/2)*log(b*x + a)/b","A",0
875,1,24,0,1.351964," ","integrate((c*x^2)^(5/2)/x^6/(b*x+a),x, algorithm=""maxima"")","-\frac{c^{\frac{5}{2}} \log\left(b x + a\right)}{a} + \frac{c^{\frac{5}{2}} \log\left(x\right)}{a}"," ",0,"-c^(5/2)*log(b*x + a)/a + c^(5/2)*log(x)/a","A",0
876,1,37,0,1.394170," ","integrate((c*x^2)^(5/2)/x^7/(b*x+a),x, algorithm=""maxima"")","\frac{b c^{\frac{5}{2}} \log\left(b x + a\right)}{a^{2}} - \frac{b c^{\frac{5}{2}} \log\left(x\right)}{a^{2}} - \frac{c^{\frac{5}{2}}}{a x}"," ",0,"b*c^(5/2)*log(b*x + a)/a^2 - b*c^(5/2)*log(x)/a^2 - c^(5/2)/(a*x)","A",0
877,1,142,0,1.518684," ","integrate(x^4/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2}} x^{2}}{3 \, b c} - \frac{7 \, a x^{2}}{6 \, b^{2} \sqrt{c}} - \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{3} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{4} \sqrt{c}} + \frac{2 \, \sqrt{c x^{2}} a x}{3 \, b^{2} c} - \frac{14 \, a^{2} x}{3 \, b^{3} \sqrt{c}} - \frac{a^{3} \log\left(b x\right)}{b^{4} \sqrt{c}} + \frac{17 \, \sqrt{c x^{2}} a^{2}}{3 \, b^{3} c} - \frac{7 \, a^{3}}{2 \, b^{4} \sqrt{c}}"," ",0,"1/3*sqrt(c*x^2)*x^2/(b*c) - 7/6*a*x^2/(b^2*sqrt(c)) - (-1)^(2*a*c*x/b)*a^3*log(-2*a*c*x/(b*abs(b*x + a)))/(b^4*sqrt(c)) + 2/3*sqrt(c*x^2)*a*x/(b^2*c) - 14/3*a^2*x/(b^3*sqrt(c)) - a^3*log(b*x)/(b^4*sqrt(c)) + 17/3*sqrt(c*x^2)*a^2/(b^3*c) - 7/2*a^3/(b^4*sqrt(c))","A",0
878,1,100,0,1.494118," ","integrate(x^3/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, b \sqrt{c}} + \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{2} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{3} \sqrt{c}} + \frac{2 \, a x}{b^{2} \sqrt{c}} + \frac{a^{2} \log\left(b x\right)}{b^{3} \sqrt{c}} - \frac{3 \, \sqrt{c x^{2}} a}{b^{2} c} + \frac{3 \, a^{2}}{2 \, b^{3} \sqrt{c}}"," ",0,"1/2*x^2/(b*sqrt(c)) + (-1)^(2*a*c*x/b)*a^2*log(-2*a*c*x/(b*abs(b*x + a)))/(b^3*sqrt(c)) + 2*a*x/(b^2*sqrt(c)) + a^2*log(b*x)/(b^3*sqrt(c)) - 3*sqrt(c*x^2)*a/(b^2*c) + 3/2*a^2/(b^3*sqrt(c))","A",0
879,1,64,0,1.471977," ","integrate(x^2/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{2} \sqrt{c}} - \frac{a \log\left(b x\right)}{b^{2} \sqrt{c}} + \frac{\sqrt{c x^{2}}}{b c}"," ",0,"-(-1)^(2*a*c*x/b)*a*log(-2*a*c*x/(b*abs(b*x + a)))/(b^2*sqrt(c)) - a*log(b*x)/(b^2*sqrt(c)) + sqrt(c*x^2)/(b*c)","A",0
880,1,46,0,1.458897," ","integrate(x/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(-1\right)^{\frac{2 \, a c x}{b}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b \sqrt{c}} + \frac{\log\left(b x\right)}{b \sqrt{c}}"," ",0,"(-1)^(2*a*c*x/b)*log(-2*a*c*x/(b*abs(b*x + a)))/(b*sqrt(c)) + log(b*x)/(b*sqrt(c))","B",0
881,1,35,0,1.460711," ","integrate(1/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{\frac{2 \, a c x}{b}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{a \sqrt{c}}"," ",0,"-(-1)^(2*a*c*x/b)*log(-2*a*c*x/(b*abs(b*x + a)))/(a*sqrt(c))","A",0
882,1,37,0,1.370146," ","integrate(1/x/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{b \log\left(b x + a\right)}{a^{2} \sqrt{c}} - \frac{b \log\left(x\right)}{a^{2} \sqrt{c}} - \frac{1}{a \sqrt{c} x}"," ",0,"b*log(b*x + a)/(a^2*sqrt(c)) - b*log(x)/(a^2*sqrt(c)) - 1/(a*sqrt(c)*x)","A",0
883,1,55,0,1.375447," ","integrate(1/x^2/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{b^{2} \log\left(b x + a\right)}{a^{3} \sqrt{c}} + \frac{b^{2} \log\left(x\right)}{a^{3} \sqrt{c}} + \frac{2 \, b \sqrt{c} x - a \sqrt{c}}{2 \, a^{2} c x^{2}}"," ",0,"-b^2*log(b*x + a)/(a^3*sqrt(c)) + b^2*log(x)/(a^3*sqrt(c)) + 1/2*(2*b*sqrt(c)*x - a*sqrt(c))/(a^2*c*x^2)","A",0
884,1,69,0,1.396500," ","integrate(1/x^3/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{b^{3} \log\left(b x + a\right)}{a^{4} \sqrt{c}} - \frac{b^{3} \log\left(x\right)}{a^{4} \sqrt{c}} - \frac{6 \, b^{2} \sqrt{c} x^{2} - 3 \, a b \sqrt{c} x + 2 \, a^{2} \sqrt{c}}{6 \, a^{3} c x^{3}}"," ",0,"b^3*log(b*x + a)/(a^4*sqrt(c)) - b^3*log(x)/(a^4*sqrt(c)) - 1/6*(6*b^2*sqrt(c)*x^2 - 3*a*b*sqrt(c)*x + 2*a^2*sqrt(c))/(a^3*c*x^3)","A",0
885,1,162,0,1.790312," ","integrate(x^6/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""maxima"")","\frac{x^{4}}{3 \, \sqrt{c x^{2}} b c} - \frac{a x^{3}}{2 \, \sqrt{c x^{2}} b^{2} c} + \frac{a^{2} x^{2}}{\sqrt{c x^{2}} b^{3} c} - \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{3} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{4} c^{\frac{3}{2}}} + \frac{29 \, a^{3} x}{6 \, \sqrt{c x^{2}} b^{4} c} - \frac{a^{3} \log\left(b x\right)}{b^{4} c^{\frac{3}{2}}} - \frac{2 \, a^{4}}{\sqrt{c x^{2}} b^{5} c} + \frac{2 \, a^{4}}{b^{5} c^{\frac{3}{2}} x}"," ",0,"1/3*x^4/(sqrt(c*x^2)*b*c) - 1/2*a*x^3/(sqrt(c*x^2)*b^2*c) + a^2*x^2/(sqrt(c*x^2)*b^3*c) - (-1)^(2*a*c*x/b)*a^3*log(-2*a*c*x/(b*abs(b*x + a)))/(b^4*c^(3/2)) + 29/6*a^3*x/(sqrt(c*x^2)*b^4*c) - a^3*log(b*x)/(b^4*c^(3/2)) - 2*a^4/(sqrt(c*x^2)*b^5*c) + 2*a^4/(b^5*c^(3/2)*x)","A",0
886,1,140,0,1.660334," ","integrate(x^5/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""maxima"")","\frac{x^{3}}{2 \, \sqrt{c x^{2}} b c} - \frac{a x^{2}}{\sqrt{c x^{2}} b^{2} c} + \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a^{2} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{3} c^{\frac{3}{2}}} - \frac{7 \, a^{2} x}{2 \, \sqrt{c x^{2}} b^{3} c} + \frac{a^{2} \log\left(b x\right)}{b^{3} c^{\frac{3}{2}}} + \frac{2 \, a^{3}}{\sqrt{c x^{2}} b^{4} c} - \frac{2 \, a^{3}}{b^{4} c^{\frac{3}{2}} x}"," ",0,"1/2*x^3/(sqrt(c*x^2)*b*c) - a*x^2/(sqrt(c*x^2)*b^2*c) + (-1)^(2*a*c*x/b)*a^2*log(-2*a*c*x/(b*abs(b*x + a)))/(b^3*c^(3/2)) - 7/2*a^2*x/(sqrt(c*x^2)*b^3*c) + a^2*log(b*x)/(b^3*c^(3/2)) + 2*a^3/(sqrt(c*x^2)*b^4*c) - 2*a^3/(b^4*c^(3/2)*x)","B",0
887,1,116,0,1.602335," ","integrate(x^4/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""maxima"")","\frac{x^{2}}{\sqrt{c x^{2}} b c} - \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} a \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{2} c^{\frac{3}{2}}} + \frac{2 \, a x}{\sqrt{c x^{2}} b^{2} c} - \frac{a \log\left(b x\right)}{b^{2} c^{\frac{3}{2}}} - \frac{2 \, a^{2}}{\sqrt{c x^{2}} b^{3} c} + \frac{2 \, a^{2}}{b^{3} c^{\frac{3}{2}} x}"," ",0,"x^2/(sqrt(c*x^2)*b*c) - (-1)^(2*a*c*x/b)*a*log(-2*a*c*x/(b*abs(b*x + a)))/(b^2*c^(3/2)) + 2*a*x/(sqrt(c*x^2)*b^2*c) - a*log(b*x)/(b^2*c^(3/2)) - 2*a^2/(sqrt(c*x^2)*b^3*c) + 2*a^2/(b^3*c^(3/2)*x)","B",0
888,1,74,0,1.603813," ","integrate(x^3/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""maxima"")","\frac{\left(-1\right)^{\frac{2 \, a c x}{b}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b c^{\frac{3}{2}}} + \frac{\log\left(b x\right)}{b c^{\frac{3}{2}}} + \frac{2 \, a}{\sqrt{c x^{2}} b^{2} c} - \frac{2 \, a}{b^{2} c^{\frac{3}{2}} x}"," ",0,"(-1)^(2*a*c*x/b)*log(-2*a*c*x/(b*abs(b*x + a)))/(b*c^(3/2)) + log(b*x)/(b*c^(3/2)) + 2*a/(sqrt(c*x^2)*b^2*c) - 2*a/(b^2*c^(3/2)*x)","B",0
889,1,35,0,1.430409," ","integrate(x^2/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{\frac{2 \, a c x}{b}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{a c^{\frac{3}{2}}}"," ",0,"-(-1)^(2*a*c*x/b)*log(-2*a*c*x/(b*abs(b*x + a)))/(a*c^(3/2))","A",0
890,1,51,0,1.480908," ","integrate(x/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""maxima"")","\frac{\left(-1\right)^{\frac{2 \, a c x}{b}} b \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{a^{2} c^{\frac{3}{2}}} - \frac{1}{\sqrt{c x^{2}} a c}"," ",0,"(-1)^(2*a*c*x/b)*b*log(-2*a*c*x/(b*abs(b*x + a)))/(a^2*c^(3/2)) - 1/(sqrt(c*x^2)*a*c)","A",0
891,1,65,0,1.538077," ","integrate(1/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{\frac{2 \, a c x}{b}} b^{2} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{a^{3} c^{\frac{3}{2}}} + \frac{b}{\sqrt{c x^{2}} a^{2} c} - \frac{1}{2 \, a c^{\frac{3}{2}} x^{2}}"," ",0,"-(-1)^(2*a*c*x/b)*b^2*log(-2*a*c*x/(b*abs(b*x + a)))/(a^3*c^(3/2)) + b/(sqrt(c*x^2)*a^2*c) - 1/2/(a*c^(3/2)*x^2)","A",0
892,1,69,0,1.358742," ","integrate(1/x/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""maxima"")","\frac{b^{3} \log\left(b x + a\right)}{a^{4} c^{\frac{3}{2}}} - \frac{b^{3} \log\left(x\right)}{a^{4} c^{\frac{3}{2}}} - \frac{6 \, b^{2} \sqrt{c} x^{2} - 3 \, a b \sqrt{c} x + 2 \, a^{2} \sqrt{c}}{6 \, a^{3} c^{2} x^{3}}"," ",0,"b^3*log(b*x + a)/(a^4*c^(3/2)) - b^3*log(x)/(a^4*c^(3/2)) - 1/6*(6*b^2*sqrt(c)*x^2 - 3*a*b*sqrt(c)*x + 2*a^2*sqrt(c))/(a^3*c^2*x^3)","A",0
893,1,135,0,1.515977," ","integrate(x^3*(c*x^2)^(1/2)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{\sqrt{c x^{2}} a^{3}}{b^{5} x + a b^{4}} - \frac{4 \, \left(-1\right)^{\frac{2 \, c x}{b}} a^{3} \sqrt{c} \log\left(\frac{2 \, c x}{b}\right)}{b^{5}} - \frac{4 \, \left(-1\right)^{\frac{2 \, a c x}{b}} a^{3} \sqrt{c} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{5}} - \frac{\sqrt{c x^{2}} a x}{b^{3}} + \frac{3 \, \sqrt{c x^{2}} a^{2}}{b^{4}} + \frac{\left(c x^{2}\right)^{\frac{3}{2}}}{3 \, b^{2} c}"," ",0,"sqrt(c*x^2)*a^3/(b^5*x + a*b^4) - 4*(-1)^(2*c*x/b)*a^3*sqrt(c)*log(2*c*x/b)/b^5 - 4*(-1)^(2*a*c*x/b)*a^3*sqrt(c)*log(-2*a*c*x/(b*abs(b*x + a)))/b^5 - sqrt(c*x^2)*a*x/b^3 + 3*sqrt(c*x^2)*a^2/b^4 + 1/3*(c*x^2)^(3/2)/(b^2*c)","A",0
894,1,118,0,1.545369," ","integrate(x^2*(c*x^2)^(1/2)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2}} a^{2}}{b^{4} x + a b^{3}} + \frac{3 \, \left(-1\right)^{\frac{2 \, c x}{b}} a^{2} \sqrt{c} \log\left(\frac{2 \, c x}{b}\right)}{b^{4}} + \frac{3 \, \left(-1\right)^{\frac{2 \, a c x}{b}} a^{2} \sqrt{c} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{4}} + \frac{\sqrt{c x^{2}} x}{2 \, b^{2}} - \frac{2 \, \sqrt{c x^{2}} a}{b^{3}}"," ",0,"-sqrt(c*x^2)*a^2/(b^4*x + a*b^3) + 3*(-1)^(2*c*x/b)*a^2*sqrt(c)*log(2*c*x/b)/b^4 + 3*(-1)^(2*a*c*x/b)*a^2*sqrt(c)*log(-2*a*c*x/(b*abs(b*x + a)))/b^4 + 1/2*sqrt(c*x^2)*x/b^2 - 2*sqrt(c*x^2)*a/b^3","A",0
895,1,96,0,1.514592," ","integrate(x*(c*x^2)^(1/2)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{\sqrt{c x^{2}} a}{b^{3} x + a b^{2}} - \frac{2 \, \left(-1\right)^{\frac{2 \, c x}{b}} a \sqrt{c} \log\left(\frac{2 \, c x}{b}\right)}{b^{3}} - \frac{2 \, \left(-1\right)^{\frac{2 \, a c x}{b}} a \sqrt{c} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{3}} + \frac{\sqrt{c x^{2}}}{b^{2}}"," ",0,"sqrt(c*x^2)*a/(b^3*x + a*b^2) - 2*(-1)^(2*c*x/b)*a*sqrt(c)*log(2*c*x/b)/b^3 - 2*(-1)^(2*a*c*x/b)*a*sqrt(c)*log(-2*a*c*x/(b*abs(b*x + a)))/b^3 + sqrt(c*x^2)/b^2","A",0
896,1,79,0,1.466565," ","integrate((c*x^2)^(1/2)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{\left(-1\right)^{\frac{2 \, c x}{b}} \sqrt{c} \log\left(\frac{2 \, c x}{b}\right)}{b^{2}} + \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} \sqrt{c} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{2}} - \frac{\sqrt{c x^{2}}}{b^{2} x + a b}"," ",0,"(-1)^(2*c*x/b)*sqrt(c)*log(2*c*x/b)/b^2 + (-1)^(2*a*c*x/b)*sqrt(c)*log(-2*a*c*x/(b*abs(b*x + a)))/b^2 - sqrt(c*x^2)/(b^2*x + a*b)","A",0
897,1,16,0,1.361397," ","integrate((c*x^2)^(1/2)/x/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{\sqrt{c}}{b^{2} x + a b}"," ",0,"-sqrt(c)/(b^2*x + a*b)","A",0
898,1,38,0,1.318329," ","integrate((c*x^2)^(1/2)/x^2/(b*x+a)^2,x, algorithm=""maxima"")","\frac{\sqrt{c}}{a b x + a^{2}} - \frac{\sqrt{c} \log\left(b x + a\right)}{a^{2}} + \frac{\sqrt{c} \log\left(x\right)}{a^{2}}"," ",0,"sqrt(c)/(a*b*x + a^2) - sqrt(c)*log(b*x + a)/a^2 + sqrt(c)*log(x)/a^2","A",0
899,1,58,0,1.397011," ","integrate((c*x^2)^(1/2)/x^3/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{2 \, b \sqrt{c} x + a \sqrt{c}}{a^{2} b x^{2} + a^{3} x} + \frac{2 \, b \sqrt{c} \log\left(b x + a\right)}{a^{3}} - \frac{2 \, b \sqrt{c} \log\left(x\right)}{a^{3}}"," ",0,"-(2*b*sqrt(c)*x + a*sqrt(c))/(a^2*b*x^2 + a^3*x) + 2*b*sqrt(c)*log(b*x + a)/a^3 - 2*b*sqrt(c)*log(x)/a^3","A",0
900,1,79,0,1.420480," ","integrate((c*x^2)^(1/2)/x^4/(b*x+a)^2,x, algorithm=""maxima"")","\frac{6 \, b^{2} \sqrt{c} x^{2} + 3 \, a b \sqrt{c} x - a^{2} \sqrt{c}}{2 \, {\left(a^{3} b x^{3} + a^{4} x^{2}\right)}} - \frac{3 \, b^{2} \sqrt{c} \log\left(b x + a\right)}{a^{4}} + \frac{3 \, b^{2} \sqrt{c} \log\left(x\right)}{a^{4}}"," ",0,"1/2*(6*b^2*sqrt(c)*x^2 + 3*a*b*sqrt(c)*x - a^2*sqrt(c))/(a^3*b*x^3 + a^4*x^2) - 3*b^2*sqrt(c)*log(b*x + a)/a^4 + 3*b^2*sqrt(c)*log(x)/a^4","A",0
901,1,132,0,1.624925," ","integrate(x*(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{\left(c x^{2}\right)^{\frac{3}{2}} a}{b^{3} x + a b^{2}} - \frac{4 \, \left(-1\right)^{\frac{2 \, c x}{b}} a^{3} c^{\frac{3}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{5}} - \frac{4 \, \left(-1\right)^{\frac{2 \, a c x}{b}} a^{3} c^{\frac{3}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{5}} - \frac{2 \, \sqrt{c x^{2}} a c x}{b^{3}} + \frac{\left(c x^{2}\right)^{\frac{3}{2}}}{3 \, b^{2}} + \frac{4 \, \sqrt{c x^{2}} a^{2} c}{b^{4}}"," ",0,"(c*x^2)^(3/2)*a/(b^3*x + a*b^2) - 4*(-1)^(2*c*x/b)*a^3*c^(3/2)*log(2*c*x/b)/b^5 - 4*(-1)^(2*a*c*x/b)*a^3*c^(3/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^5 - 2*sqrt(c*x^2)*a*c*x/b^3 + 1/3*(c*x^2)^(3/2)/b^2 + 4*sqrt(c*x^2)*a^2*c/b^4","A",0
902,1,115,0,1.552842," ","integrate((c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{3 \, \left(-1\right)^{\frac{2 \, c x}{b}} a^{2} c^{\frac{3}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{4}} + \frac{3 \, \left(-1\right)^{\frac{2 \, a c x}{b}} a^{2} c^{\frac{3}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{4}} - \frac{\left(c x^{2}\right)^{\frac{3}{2}}}{b^{2} x + a b} + \frac{3 \, \sqrt{c x^{2}} c x}{2 \, b^{2}} - \frac{3 \, \sqrt{c x^{2}} a c}{b^{3}}"," ",0,"3*(-1)^(2*c*x/b)*a^2*c^(3/2)*log(2*c*x/b)/b^4 + 3*(-1)^(2*a*c*x/b)*a^2*c^(3/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^4 - (c*x^2)^(3/2)/(b^2*x + a*b) + 3/2*sqrt(c*x^2)*c*x/b^2 - 3*sqrt(c*x^2)*a*c/b^3","A",0
903,1,98,0,1.424032," ","integrate((c*x^2)^(3/2)/x/(b*x+a)^2,x, algorithm=""maxima"")","\frac{\sqrt{c x^{2}} a c}{b^{3} x + a b^{2}} - \frac{2 \, \left(-1\right)^{\frac{2 \, c x}{b}} a c^{\frac{3}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{3}} - \frac{2 \, \left(-1\right)^{\frac{2 \, a c x}{b}} a c^{\frac{3}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{3}} + \frac{\sqrt{c x^{2}} c}{b^{2}}"," ",0,"sqrt(c*x^2)*a*c/(b^3*x + a*b^2) - 2*(-1)^(2*c*x/b)*a*c^(3/2)*log(2*c*x/b)/b^3 - 2*(-1)^(2*a*c*x/b)*a*c^(3/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^3 + sqrt(c*x^2)*c/b^2","A",0
904,1,80,0,1.480150," ","integrate((c*x^2)^(3/2)/x^2/(b*x+a)^2,x, algorithm=""maxima"")","\frac{\left(-1\right)^{\frac{2 \, c x}{b}} c^{\frac{3}{2}} \log\left(\frac{2 \, c x}{b}\right)}{b^{2}} + \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} c^{\frac{3}{2}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{2}} - \frac{\sqrt{c x^{2}} c}{b^{2} x + a b}"," ",0,"(-1)^(2*c*x/b)*c^(3/2)*log(2*c*x/b)/b^2 + (-1)^(2*a*c*x/b)*c^(3/2)*log(-2*a*c*x/(b*abs(b*x + a)))/b^2 - sqrt(c*x^2)*c/(b^2*x + a*b)","A",0
905,1,16,0,1.334659," ","integrate((c*x^2)^(3/2)/x^3/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{c^{\frac{3}{2}}}{b^{2} x + a b}"," ",0,"-c^(3/2)/(b^2*x + a*b)","A",0
906,1,38,0,1.397193," ","integrate((c*x^2)^(3/2)/x^4/(b*x+a)^2,x, algorithm=""maxima"")","\frac{c^{\frac{3}{2}}}{a b x + a^{2}} - \frac{c^{\frac{3}{2}} \log\left(b x + a\right)}{a^{2}} + \frac{c^{\frac{3}{2}} \log\left(x\right)}{a^{2}}"," ",0,"c^(3/2)/(a*b*x + a^2) - c^(3/2)*log(b*x + a)/a^2 + c^(3/2)*log(x)/a^2","A",0
907,1,58,0,1.434742," ","integrate((c*x^2)^(3/2)/x^5/(b*x+a)^2,x, algorithm=""maxima"")","\frac{2 \, b c^{\frac{3}{2}} \log\left(b x + a\right)}{a^{3}} - \frac{2 \, b c^{\frac{3}{2}} \log\left(x\right)}{a^{3}} - \frac{2 \, b c^{\frac{3}{2}} x + a c^{\frac{3}{2}}}{a^{2} b x^{2} + a^{3} x}"," ",0,"2*b*c^(3/2)*log(b*x + a)/a^3 - 2*b*c^(3/2)*log(x)/a^3 - (2*b*c^(3/2)*x + a*c^(3/2))/(a^2*b*x^2 + a^3*x)","A",0
908,1,79,0,1.331912," ","integrate((c*x^2)^(3/2)/x^6/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{3 \, b^{2} c^{\frac{3}{2}} \log\left(b x + a\right)}{a^{4}} + \frac{3 \, b^{2} c^{\frac{3}{2}} \log\left(x\right)}{a^{4}} + \frac{6 \, b^{2} c^{\frac{3}{2}} x^{2} + 3 \, a b c^{\frac{3}{2}} x - a^{2} c^{\frac{3}{2}}}{2 \, {\left(a^{3} b x^{3} + a^{4} x^{2}\right)}}"," ",0,"-3*b^2*c^(3/2)*log(b*x + a)/a^4 + 3*b^2*c^(3/2)*log(x)/a^4 + 1/2*(6*b^2*c^(3/2)*x^2 + 3*a*b*c^(3/2)*x - a^2*c^(3/2))/(a^3*b*x^3 + a^4*x^2)","A",0
909,1,168,0,1.558279," ","integrate(x^5/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2}} a^{3}}{b^{5} c x + a b^{4} c} + \frac{\sqrt{c x^{2}} x^{2}}{3 \, b^{2} c} - \frac{5 \, a x^{2}}{3 \, b^{3} \sqrt{c}} - \frac{4 \, \left(-1\right)^{\frac{2 \, a c x}{b}} a^{3} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{5} \sqrt{c}} + \frac{2 \, \sqrt{c x^{2}} a x}{3 \, b^{3} c} - \frac{20 \, a^{2} x}{3 \, b^{4} \sqrt{c}} - \frac{4 \, a^{3} \log\left(b x\right)}{b^{5} \sqrt{c}} + \frac{29 \, \sqrt{c x^{2}} a^{2}}{3 \, b^{4} c} - \frac{5 \, a^{3}}{b^{5} \sqrt{c}}"," ",0,"sqrt(c*x^2)*a^3/(b^5*c*x + a*b^4*c) + 1/3*sqrt(c*x^2)*x^2/(b^2*c) - 5/3*a*x^2/(b^3*sqrt(c)) - 4*(-1)^(2*a*c*x/b)*a^3*log(-2*a*c*x/(b*abs(b*x + a)))/(b^5*sqrt(c)) + 2/3*sqrt(c*x^2)*a*x/(b^3*c) - 20/3*a^2*x/(b^4*sqrt(c)) - 4*a^3*log(b*x)/(b^5*sqrt(c)) + 29/3*sqrt(c*x^2)*a^2/(b^4*c) - 5*a^3/(b^5*sqrt(c))","A",0
910,1,129,0,1.554883," ","integrate(x^4/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2}} a^{2}}{b^{4} c x + a b^{3} c} + \frac{x^{2}}{2 \, b^{2} \sqrt{c}} + \frac{3 \, \left(-1\right)^{\frac{2 \, a c x}{b}} a^{2} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{4} \sqrt{c}} + \frac{2 \, a x}{b^{3} \sqrt{c}} + \frac{3 \, a^{2} \log\left(b x\right)}{b^{4} \sqrt{c}} - \frac{4 \, \sqrt{c x^{2}} a}{b^{3} c} + \frac{3 \, a^{2}}{2 \, b^{4} \sqrt{c}}"," ",0,"-sqrt(c*x^2)*a^2/(b^4*c*x + a*b^3*c) + 1/2*x^2/(b^2*sqrt(c)) + 3*(-1)^(2*a*c*x/b)*a^2*log(-2*a*c*x/(b*abs(b*x + a)))/(b^4*sqrt(c)) + 2*a*x/(b^3*sqrt(c)) + 3*a^2*log(b*x)/(b^4*sqrt(c)) - 4*sqrt(c*x^2)*a/(b^3*c) + 3/2*a^2/(b^4*sqrt(c))","A",0
911,1,88,0,1.450135," ","integrate(x^3/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2}} a}{b^{3} c x + a b^{2} c} - \frac{2 \, \left(-1\right)^{\frac{2 \, a c x}{b}} a \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{3} \sqrt{c}} - \frac{2 \, a \log\left(b x\right)}{b^{3} \sqrt{c}} + \frac{\sqrt{c x^{2}}}{b^{2} c}"," ",0,"sqrt(c*x^2)*a/(b^3*c*x + a*b^2*c) - 2*(-1)^(2*a*c*x/b)*a*log(-2*a*c*x/(b*abs(b*x + a)))/(b^3*sqrt(c)) - 2*a*log(b*x)/(b^3*sqrt(c)) + sqrt(c*x^2)/(b^2*c)","A",0
912,1,68,0,1.410924," ","integrate(x^2/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2}}}{b^{2} c x + a b c} + \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{2} \sqrt{c}} + \frac{\log\left(b x\right)}{b^{2} \sqrt{c}}"," ",0,"-sqrt(c*x^2)/(b^2*c*x + a*b*c) + (-1)^(2*a*c*x/b)*log(-2*a*c*x/(b*abs(b*x + a)))/(b^2*sqrt(c)) + log(b*x)/(b^2*sqrt(c))","A",0
913,1,21,0,1.452657," ","integrate(x/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2}}}{a b c x + a^{2} c}"," ",0,"sqrt(c*x^2)/(a*b*c*x + a^2*c)","A",0
914,1,61,0,1.459931," ","integrate(1/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{c x^{2}} b}{a^{2} b c x + a^{3} c} - \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{a^{2} \sqrt{c}}"," ",0,"-sqrt(c*x^2)*b/(a^2*b*c*x + a^3*c) - (-1)^(2*a*c*x/b)*log(-2*a*c*x/(b*abs(b*x + a)))/(a^2*sqrt(c))","A",0
915,1,57,0,1.432430," ","integrate(1/x/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, b x + a}{a^{2} b \sqrt{c} x^{2} + a^{3} \sqrt{c} x} + \frac{2 \, b \log\left(b x + a\right)}{a^{3} \sqrt{c}} - \frac{2 \, b \log\left(x\right)}{a^{3} \sqrt{c}}"," ",0,"-(2*b*x + a)/(a^2*b*sqrt(c)*x^2 + a^3*sqrt(c)*x) + 2*b*log(b*x + a)/(a^3*sqrt(c)) - 2*b*log(x)/(a^3*sqrt(c))","A",0
916,1,76,0,1.406602," ","integrate(1/x^2/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{6 \, b^{2} x^{2} + 3 \, a b x - a^{2}}{2 \, {\left(a^{3} b \sqrt{c} x^{3} + a^{4} \sqrt{c} x^{2}\right)}} - \frac{3 \, b^{2} \log\left(b x + a\right)}{a^{4} \sqrt{c}} + \frac{3 \, b^{2} \log\left(x\right)}{a^{4} \sqrt{c}}"," ",0,"1/2*(6*b^2*x^2 + 3*a*b*x - a^2)/(a^3*b*sqrt(c)*x^3 + a^4*sqrt(c)*x^2) - 3*b^2*log(b*x + a)/(a^4*sqrt(c)) + 3*b^2*log(x)/(a^4*sqrt(c))","A",0
917,1,149,0,1.610892," ","integrate(x^5/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{a^{3}}{\sqrt{c x^{2}} b^{5} c x + \sqrt{c x^{2}} a b^{4} c} + \frac{x^{2}}{\sqrt{c x^{2}} b^{2} c} - \frac{2 \, \left(-1\right)^{\frac{2 \, a c x}{b}} a \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{3} c^{\frac{3}{2}}} + \frac{2 \, a x}{\sqrt{c x^{2}} b^{3} c} - \frac{2 \, a \log\left(b x\right)}{b^{3} c^{\frac{3}{2}}} - \frac{5 \, a^{2}}{\sqrt{c x^{2}} b^{4} c} + \frac{4 \, a^{2}}{b^{4} c^{\frac{3}{2}} x}"," ",0,"a^3/(sqrt(c*x^2)*b^5*c*x + sqrt(c*x^2)*a*b^4*c) + x^2/(sqrt(c*x^2)*b^2*c) - 2*(-1)^(2*a*c*x/b)*a*log(-2*a*c*x/(b*abs(b*x + a)))/(b^3*c^(3/2)) + 2*a*x/(sqrt(c*x^2)*b^3*c) - 2*a*log(b*x)/(b^3*c^(3/2)) - 5*a^2/(sqrt(c*x^2)*b^4*c) + 4*a^2/(b^4*c^(3/2)*x)","B",0
918,1,108,0,1.556776," ","integrate(x^4/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{a^{2}}{\sqrt{c x^{2}} b^{4} c x + \sqrt{c x^{2}} a b^{3} c} + \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{b^{2} c^{\frac{3}{2}}} + \frac{\log\left(b x\right)}{b^{2} c^{\frac{3}{2}}} + \frac{3 \, a}{\sqrt{c x^{2}} b^{3} c} - \frac{2 \, a}{b^{3} c^{\frac{3}{2}} x}"," ",0,"-a^2/(sqrt(c*x^2)*b^4*c*x + sqrt(c*x^2)*a*b^3*c) + (-1)^(2*a*c*x/b)*log(-2*a*c*x/(b*abs(b*x + a)))/(b^2*c^(3/2)) + log(b*x)/(b^2*c^(3/2)) + 3*a/(sqrt(c*x^2)*b^3*c) - 2*a/(b^3*c^(3/2)*x)","B",0
919,1,47,0,1.482989," ","integrate(x^3/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{a}{\sqrt{c x^{2}} b^{3} c x + \sqrt{c x^{2}} a b^{2} c} - \frac{1}{\sqrt{c x^{2}} b^{2} c}"," ",0,"a/(sqrt(c*x^2)*b^3*c*x + sqrt(c*x^2)*a*b^2*c) - 1/(sqrt(c*x^2)*b^2*c)","B",0
920,1,82,0,1.520395," ","integrate(x^2/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{\sqrt{c x^{2}} b^{2} c x + \sqrt{c x^{2}} a b c} - \frac{\left(-1\right)^{\frac{2 \, a c x}{b}} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{a^{2} c^{\frac{3}{2}}} + \frac{1}{\sqrt{c x^{2}} a b c}"," ",0,"-1/(sqrt(c*x^2)*b^2*c*x + sqrt(c*x^2)*a*b*c) - (-1)^(2*a*c*x/b)*log(-2*a*c*x/(b*abs(b*x + a)))/(a^2*c^(3/2)) + 1/(sqrt(c*x^2)*a*b*c)","A",0
921,1,79,0,1.411691," ","integrate(x/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{\sqrt{c x^{2}} a b c x + \sqrt{c x^{2}} a^{2} c} + \frac{2 \, \left(-1\right)^{\frac{2 \, a c x}{b}} b \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{a^{3} c^{\frac{3}{2}}} - \frac{2}{\sqrt{c x^{2}} a^{2} c}"," ",0,"1/(sqrt(c*x^2)*a*b*c*x + sqrt(c*x^2)*a^2*c) + 2*(-1)^(2*a*c*x/b)*b*log(-2*a*c*x/(b*abs(b*x + a)))/(a^3*c^(3/2)) - 2/(sqrt(c*x^2)*a^2*c)","A",0
922,1,98,0,1.463176," ","integrate(1/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{b}{\sqrt{c x^{2}} a^{2} b c x + \sqrt{c x^{2}} a^{3} c} - \frac{3 \, \left(-1\right)^{\frac{2 \, a c x}{b}} b^{2} \log\left(-\frac{2 \, a c x}{b {\left| b x + a \right|}}\right)}{a^{4} c^{\frac{3}{2}}} + \frac{3 \, b}{\sqrt{c x^{2}} a^{3} c} - \frac{1}{2 \, a^{2} c^{\frac{3}{2}} x^{2}}"," ",0,"-b/(sqrt(c*x^2)*a^2*b*c*x + sqrt(c*x^2)*a^3*c) - 3*(-1)^(2*a*c*x/b)*b^2*log(-2*a*c*x/(b*abs(b*x + a)))/(a^4*c^(3/2)) + 3*b/(sqrt(c*x^2)*a^3*c) - 1/2/(a^2*c^(3/2)*x^2)","A",0
923,1,116,0,1.463788," ","integrate(x^2*(b*x+a)^n*(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} \sqrt{c} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} \sqrt{c} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} \sqrt{c} x^{2} + 6 \, a^{3} b \sqrt{c} n x - 6 \, a^{4} \sqrt{c}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4}}"," ",0,"((n^3 + 6*n^2 + 11*n + 6)*b^4*sqrt(c)*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*sqrt(c)*x^3 - 3*(n^2 + n)*a^2*b^2*sqrt(c)*x^2 + 6*a^3*b*sqrt(c)*n*x - 6*a^4*sqrt(c))*(b*x + a)^n/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4)","A",0
924,1,80,0,1.413117," ","integrate(x*(b*x+a)^n*(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} \sqrt{c} x^{3} + {\left(n^{2} + n\right)} a b^{2} \sqrt{c} x^{2} - 2 \, a^{2} b \sqrt{c} n x + 2 \, a^{3} \sqrt{c}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}}"," ",0,"((n^2 + 3*n + 2)*b^3*sqrt(c)*x^3 + (n^2 + n)*a*b^2*sqrt(c)*x^2 - 2*a^2*b*sqrt(c)*n*x + 2*a^3*sqrt(c))*(b*x + a)^n/((n^3 + 6*n^2 + 11*n + 6)*b^3)","A",0
925,1,51,0,1.450331," ","integrate((b*x+a)^n*(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} \sqrt{c} {\left(n + 1\right)} x^{2} + a b \sqrt{c} n x - a^{2} \sqrt{c}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{2} + 3 \, n + 2\right)} b^{2}}"," ",0,"(b^2*sqrt(c)*(n + 1)*x^2 + a*b*sqrt(c)*n*x - a^2*sqrt(c))*(b*x + a)^n/((n^2 + 3*n + 2)*b^2)","A",0
926,1,28,0,1.395149," ","integrate((b*x+a)^n*(c*x^2)^(1/2)/x,x, algorithm=""maxima"")","\frac{{\left(b \sqrt{c} x + a \sqrt{c}\right)} {\left(b x + a\right)}^{n}}{b {\left(n + 1\right)}}"," ",0,"(b*sqrt(c)*x + a*sqrt(c))*(b*x + a)^n/(b*(n + 1))","A",0
927,0,0,0,0.000000," ","integrate((b*x+a)^n*(c*x^2)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2)*(b*x + a)^n/x^2, x)","F",0
928,0,0,0,0.000000," ","integrate((b*x+a)^n*(c*x^2)^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(c*x^2)*(b*x + a)^n/x^3, x)","F",0
929,0,0,0,0.000000," ","integrate((b*x+a)^n*(c*x^2)^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(c*x^2)*(b*x + a)^n/x^4, x)","F",0
930,1,157,0,1.436594," ","integrate(x*(c*x^2)^(3/2)*(b*x+a)^n,x, algorithm=""maxima"")","\frac{{\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{5} c^{\frac{3}{2}} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a b^{4} c^{\frac{3}{2}} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{2} b^{3} c^{\frac{3}{2}} x^{3} + 12 \, {\left(n^{2} + n\right)} a^{3} b^{2} c^{\frac{3}{2}} x^{2} - 24 \, a^{4} b c^{\frac{3}{2}} n x + 24 \, a^{5} c^{\frac{3}{2}}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{5}}"," ",0,"((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^5*c^(3/2)*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*a*b^4*c^(3/2)*x^4 - 4*(n^3 + 3*n^2 + 2*n)*a^2*b^3*c^(3/2)*x^3 + 12*(n^2 + n)*a^3*b^2*c^(3/2)*x^2 - 24*a^4*b*c^(3/2)*n*x + 24*a^5*c^(3/2))*(b*x + a)^n/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^5)","A",0
931,1,116,0,1.440908," ","integrate((c*x^2)^(3/2)*(b*x+a)^n,x, algorithm=""maxima"")","\frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} c^{\frac{3}{2}} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} c^{\frac{3}{2}} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} c^{\frac{3}{2}} x^{2} + 6 \, a^{3} b c^{\frac{3}{2}} n x - 6 \, a^{4} c^{\frac{3}{2}}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4}}"," ",0,"((n^3 + 6*n^2 + 11*n + 6)*b^4*c^(3/2)*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*c^(3/2)*x^3 - 3*(n^2 + n)*a^2*b^2*c^(3/2)*x^2 + 6*a^3*b*c^(3/2)*n*x - 6*a^4*c^(3/2))*(b*x + a)^n/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4)","A",0
932,1,80,0,1.425683," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x,x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} c^{\frac{3}{2}} x^{3} + {\left(n^{2} + n\right)} a b^{2} c^{\frac{3}{2}} x^{2} - 2 \, a^{2} b c^{\frac{3}{2}} n x + 2 \, a^{3} c^{\frac{3}{2}}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}}"," ",0,"((n^2 + 3*n + 2)*b^3*c^(3/2)*x^3 + (n^2 + n)*a*b^2*c^(3/2)*x^2 - 2*a^2*b*c^(3/2)*n*x + 2*a^3*c^(3/2))*(b*x + a)^n/((n^3 + 6*n^2 + 11*n + 6)*b^3)","A",0
933,1,51,0,1.426423," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^2,x, algorithm=""maxima"")","\frac{{\left(b^{2} c^{\frac{3}{2}} {\left(n + 1\right)} x^{2} + a b c^{\frac{3}{2}} n x - a^{2} c^{\frac{3}{2}}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{2} + 3 \, n + 2\right)} b^{2}}"," ",0,"(b^2*c^(3/2)*(n + 1)*x^2 + a*b*c^(3/2)*n*x - a^2*c^(3/2))*(b*x + a)^n/((n^2 + 3*n + 2)*b^2)","A",0
934,1,28,0,1.422930," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^3,x, algorithm=""maxima"")","\frac{{\left(b c^{\frac{3}{2}} x + a c^{\frac{3}{2}}\right)} {\left(b x + a\right)}^{n}}{b {\left(n + 1\right)}}"," ",0,"(b*c^(3/2)*x + a*c^(3/2))*(b*x + a)^n/(b*(n + 1))","A",0
935,0,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^4,x, algorithm=""maxima"")","\int \frac{\left(c x^{2}\right)^{\frac{3}{2}} {\left(b x + a\right)}^{n}}{x^{4}}\,{d x}"," ",0,"integrate((c*x^2)^(3/2)*(b*x + a)^n/x^4, x)","F",0
936,0,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^5,x, algorithm=""maxima"")","\int \frac{\left(c x^{2}\right)^{\frac{3}{2}} {\left(b x + a\right)}^{n}}{x^{5}}\,{d x}"," ",0,"integrate((c*x^2)^(3/2)*(b*x + a)^n/x^5, x)","F",0
937,0,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^6,x, algorithm=""maxima"")","\int \frac{\left(c x^{2}\right)^{\frac{3}{2}} {\left(b x + a\right)}^{n}}{x^{6}}\,{d x}"," ",0,"integrate((c*x^2)^(3/2)*(b*x + a)^n/x^6, x)","F",0
938,1,203,0,1.529242," ","integrate((c*x^2)^(5/2)*(b*x+a)^n,x, algorithm=""maxima"")","\frac{{\left({\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{6} c^{\frac{5}{2}} x^{6} + {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a b^{5} c^{\frac{5}{2}} x^{5} - 5 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{2} b^{4} c^{\frac{5}{2}} x^{4} + 20 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{3} b^{3} c^{\frac{5}{2}} x^{3} - 60 \, {\left(n^{2} + n\right)} a^{4} b^{2} c^{\frac{5}{2}} x^{2} + 120 \, a^{5} b c^{\frac{5}{2}} n x - 120 \, a^{6} c^{\frac{5}{2}}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} b^{6}}"," ",0,"((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^6*c^(5/2)*x^6 + (n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a*b^5*c^(5/2)*x^5 - 5*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^2*b^4*c^(5/2)*x^4 + 20*(n^3 + 3*n^2 + 2*n)*a^3*b^3*c^(5/2)*x^3 - 60*(n^2 + n)*a^4*b^2*c^(5/2)*x^2 + 120*a^5*b*c^(5/2)*n*x - 120*a^6*c^(5/2))*(b*x + a)^n/((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*b^6)","A",0
939,1,157,0,1.451916," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x,x, algorithm=""maxima"")","\frac{{\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{5} c^{\frac{5}{2}} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a b^{4} c^{\frac{5}{2}} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{2} b^{3} c^{\frac{5}{2}} x^{3} + 12 \, {\left(n^{2} + n\right)} a^{3} b^{2} c^{\frac{5}{2}} x^{2} - 24 \, a^{4} b c^{\frac{5}{2}} n x + 24 \, a^{5} c^{\frac{5}{2}}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{5}}"," ",0,"((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^5*c^(5/2)*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*a*b^4*c^(5/2)*x^4 - 4*(n^3 + 3*n^2 + 2*n)*a^2*b^3*c^(5/2)*x^3 + 12*(n^2 + n)*a^3*b^2*c^(5/2)*x^2 - 24*a^4*b*c^(5/2)*n*x + 24*a^5*c^(5/2))*(b*x + a)^n/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^5)","A",0
940,1,116,0,1.454496," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^2,x, algorithm=""maxima"")","\frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} c^{\frac{5}{2}} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} c^{\frac{5}{2}} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} c^{\frac{5}{2}} x^{2} + 6 \, a^{3} b c^{\frac{5}{2}} n x - 6 \, a^{4} c^{\frac{5}{2}}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4}}"," ",0,"((n^3 + 6*n^2 + 11*n + 6)*b^4*c^(5/2)*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*c^(5/2)*x^3 - 3*(n^2 + n)*a^2*b^2*c^(5/2)*x^2 + 6*a^3*b*c^(5/2)*n*x - 6*a^4*c^(5/2))*(b*x + a)^n/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4)","A",0
941,1,80,0,1.360897," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^3,x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} c^{\frac{5}{2}} x^{3} + {\left(n^{2} + n\right)} a b^{2} c^{\frac{5}{2}} x^{2} - 2 \, a^{2} b c^{\frac{5}{2}} n x + 2 \, a^{3} c^{\frac{5}{2}}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}}"," ",0,"((n^2 + 3*n + 2)*b^3*c^(5/2)*x^3 + (n^2 + n)*a*b^2*c^(5/2)*x^2 - 2*a^2*b*c^(5/2)*n*x + 2*a^3*c^(5/2))*(b*x + a)^n/((n^3 + 6*n^2 + 11*n + 6)*b^3)","A",0
942,1,51,0,1.452864," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^4,x, algorithm=""maxima"")","\frac{{\left(b^{2} c^{\frac{5}{2}} {\left(n + 1\right)} x^{2} + a b c^{\frac{5}{2}} n x - a^{2} c^{\frac{5}{2}}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{2} + 3 \, n + 2\right)} b^{2}}"," ",0,"(b^2*c^(5/2)*(n + 1)*x^2 + a*b*c^(5/2)*n*x - a^2*c^(5/2))*(b*x + a)^n/((n^2 + 3*n + 2)*b^2)","A",0
943,1,28,0,1.387604," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^5,x, algorithm=""maxima"")","\frac{{\left(b c^{\frac{5}{2}} x + a c^{\frac{5}{2}}\right)} {\left(b x + a\right)}^{n}}{b {\left(n + 1\right)}}"," ",0,"(b*c^(5/2)*x + a*c^(5/2))*(b*x + a)^n/(b*(n + 1))","A",0
944,0,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^6,x, algorithm=""maxima"")","\int \frac{\left(c x^{2}\right)^{\frac{5}{2}} {\left(b x + a\right)}^{n}}{x^{6}}\,{d x}"," ",0,"integrate((c*x^2)^(5/2)*(b*x + a)^n/x^6, x)","F",0
945,0,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^7,x, algorithm=""maxima"")","\int \frac{\left(c x^{2}\right)^{\frac{5}{2}} {\left(b x + a\right)}^{n}}{x^{7}}\,{d x}"," ",0,"integrate((c*x^2)^(5/2)*(b*x + a)^n/x^7, x)","F",0
946,1,104,0,1.449471," ","integrate(x^4*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b n x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4} \sqrt{c}}"," ",0,"((n^3 + 6*n^2 + 11*n + 6)*b^4*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*x^3 - 3*(n^2 + n)*a^2*b^2*x^2 + 6*a^3*b*n*x - 6*a^4)*(b*x + a)^n/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4*sqrt(c))","A",0
947,1,83,0,1.464302," ","integrate(x^3*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} \sqrt{c} x^{3} + {\left(n^{2} + n\right)} a b^{2} \sqrt{c} x^{2} - 2 \, a^{2} b \sqrt{c} n x + 2 \, a^{3} \sqrt{c}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3} c}"," ",0,"((n^2 + 3*n + 2)*b^3*sqrt(c)*x^3 + (n^2 + n)*a*b^2*sqrt(c)*x^2 - 2*a^2*b*sqrt(c)*n*x + 2*a^3*sqrt(c))*(b*x + a)^n/((n^3 + 6*n^2 + 11*n + 6)*b^3*c)","A",0
948,1,45,0,1.487108," ","integrate(x^2*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(n + 1\right)} x^{2} + a b n x - a^{2}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{2} + 3 \, n + 2\right)} b^{2} \sqrt{c}}"," ",0,"(b^2*(n + 1)*x^2 + a*b*n*x - a^2)*(b*x + a)^n/((n^2 + 3*n + 2)*b^2*sqrt(c))","A",0
949,1,31,0,1.436937," ","integrate(x*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b \sqrt{c} x + a \sqrt{c}\right)} {\left(b x + a\right)}^{n}}{b c {\left(n + 1\right)}}"," ",0,"(b*sqrt(c)*x + a*sqrt(c))*(b*x + a)^n/(b*c*(n + 1))","A",0
950,0,0,0,0.000000," ","integrate((b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{\sqrt{c x^{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n/sqrt(c*x^2), x)","F",0
951,0,0,0,0.000000," ","integrate((b*x+a)^n/x/(c*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{\sqrt{c x^{2}} x}\,{d x}"," ",0,"integrate((b*x + a)^n/(sqrt(c*x^2)*x), x)","F",0
952,0,0,0,0.000000," ","integrate((b*x+a)^n/x^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{\sqrt{c x^{2}} x^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n/(sqrt(c*x^2)*x^2), x)","F",0
953,1,104,0,1.464256," ","integrate(x^6*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b n x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4} c^{\frac{3}{2}}}"," ",0,"((n^3 + 6*n^2 + 11*n + 6)*b^4*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*x^3 - 3*(n^2 + n)*a^2*b^2*x^2 + 6*a^3*b*n*x - 6*a^4)*(b*x + a)^n/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4*c^(3/2))","A",0
954,1,83,0,1.455342," ","integrate(x^5*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} \sqrt{c} x^{3} + {\left(n^{2} + n\right)} a b^{2} \sqrt{c} x^{2} - 2 \, a^{2} b \sqrt{c} n x + 2 \, a^{3} \sqrt{c}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3} c^{2}}"," ",0,"((n^2 + 3*n + 2)*b^3*sqrt(c)*x^3 + (n^2 + n)*a*b^2*sqrt(c)*x^2 - 2*a^2*b*sqrt(c)*n*x + 2*a^3*sqrt(c))*(b*x + a)^n/((n^3 + 6*n^2 + 11*n + 6)*b^3*c^2)","A",0
955,1,45,0,1.467057," ","integrate(x^4*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(n + 1\right)} x^{2} + a b n x - a^{2}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{2} + 3 \, n + 2\right)} b^{2} c^{\frac{3}{2}}}"," ",0,"(b^2*(n + 1)*x^2 + a*b*n*x - a^2)*(b*x + a)^n/((n^2 + 3*n + 2)*b^2*c^(3/2))","A",0
956,1,31,0,1.441090," ","integrate(x^3*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b \sqrt{c} x + a \sqrt{c}\right)} {\left(b x + a\right)}^{n}}{b c^{2} {\left(n + 1\right)}}"," ",0,"(b*sqrt(c)*x + a*sqrt(c))*(b*x + a)^n/(b*c^2*(n + 1))","A",0
957,0,0,0,0.000000," ","integrate(x^2*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n} x^{2}}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^2/(c*x^2)^(3/2), x)","F",0
958,0,0,0,0.000000," ","integrate(x*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n} x}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x/(c*x^2)^(3/2), x)","F",0
959,0,0,0,0.000000," ","integrate((b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n/(c*x^2)^(3/2), x)","F",0
960,0,0,0,0.000000," ","integrate((b*x+a)^n/x/(c*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{\left(c x^{2}\right)^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate((b*x + a)^n/((c*x^2)^(3/2)*x), x)","F",0
961,1,104,0,1.472103," ","integrate(x^8*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b n x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4} c^{\frac{5}{2}}}"," ",0,"((n^3 + 6*n^2 + 11*n + 6)*b^4*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*x^3 - 3*(n^2 + n)*a^2*b^2*x^2 + 6*a^3*b*n*x - 6*a^4)*(b*x + a)^n/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4*c^(5/2))","A",0
962,1,83,0,1.451496," ","integrate(x^7*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} \sqrt{c} x^{3} + {\left(n^{2} + n\right)} a b^{2} \sqrt{c} x^{2} - 2 \, a^{2} b \sqrt{c} n x + 2 \, a^{3} \sqrt{c}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3} c^{3}}"," ",0,"((n^2 + 3*n + 2)*b^3*sqrt(c)*x^3 + (n^2 + n)*a*b^2*sqrt(c)*x^2 - 2*a^2*b*sqrt(c)*n*x + 2*a^3*sqrt(c))*(b*x + a)^n/((n^3 + 6*n^2 + 11*n + 6)*b^3*c^3)","A",0
963,1,45,0,1.407158," ","integrate(x^6*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(n + 1\right)} x^{2} + a b n x - a^{2}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{2} + 3 \, n + 2\right)} b^{2} c^{\frac{5}{2}}}"," ",0,"(b^2*(n + 1)*x^2 + a*b*n*x - a^2)*(b*x + a)^n/((n^2 + 3*n + 2)*b^2*c^(5/2))","A",0
964,1,31,0,1.452722," ","integrate(x^5*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b \sqrt{c} x + a \sqrt{c}\right)} {\left(b x + a\right)}^{n}}{b c^{3} {\left(n + 1\right)}}"," ",0,"(b*sqrt(c)*x + a*sqrt(c))*(b*x + a)^n/(b*c^3*(n + 1))","A",0
965,0,0,0,0.000000," ","integrate(x^4*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n} x^{4}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^4/(c*x^2)^(5/2), x)","F",0
966,0,0,0,0.000000," ","integrate(x^3*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n} x^{3}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^3/(c*x^2)^(5/2), x)","F",0
967,0,0,0,0.000000," ","integrate(x^2*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n} x^{2}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^2/(c*x^2)^(5/2), x)","F",0
968,0,0,0,0.000000," ","integrate(x*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n} x}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x/(c*x^2)^(5/2), x)","F",0
969,1,39,0,1.517990," ","integrate((d*x)^m*(c*x^2)^(5/2)*(b*x+a),x, algorithm=""maxima"")","\frac{b c^{\frac{5}{2}} d^{m} x^{7} x^{m}}{m + 7} + \frac{a c^{\frac{5}{2}} d^{m} x^{6} x^{m}}{m + 6}"," ",0,"b*c^(5/2)*d^m*x^7*x^m/(m + 7) + a*c^(5/2)*d^m*x^6*x^m/(m + 6)","A",0
970,1,39,0,1.554091," ","integrate((d*x)^m*(c*x^2)^(3/2)*(b*x+a),x, algorithm=""maxima"")","\frac{b c^{\frac{3}{2}} d^{m} x^{5} x^{m}}{m + 5} + \frac{a c^{\frac{3}{2}} d^{m} x^{4} x^{m}}{m + 4}"," ",0,"b*c^(3/2)*d^m*x^5*x^m/(m + 5) + a*c^(3/2)*d^m*x^4*x^m/(m + 4)","A",0
971,1,39,0,1.519783," ","integrate((d*x)^m*(c*x^2)^(1/2)*(b*x+a),x, algorithm=""maxima"")","\frac{b \sqrt{c} d^{m} x^{3} x^{m}}{m + 3} + \frac{a \sqrt{c} d^{m} x^{2} x^{m}}{m + 2}"," ",0,"b*sqrt(c)*d^m*x^3*x^m/(m + 3) + a*sqrt(c)*d^m*x^2*x^m/(m + 2)","A",0
972,1,32,0,1.481698," ","integrate((d*x)^m*(b*x+a)/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{b d^{m} x x^{m}}{\sqrt{c} {\left(m + 1\right)}} + \frac{a d^{m} x^{m}}{\sqrt{c} m}"," ",0,"b*d^m*x*x^m/(sqrt(c)*(m + 1)) + a*d^m*x^m/(sqrt(c)*m)","A",0
973,1,39,0,1.506345," ","integrate((d*x)^m*(b*x+a)/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{b d^{m} x^{m}}{c^{\frac{3}{2}} {\left(m - 1\right)} x} + \frac{a d^{m} x^{m}}{c^{\frac{3}{2}} {\left(m - 2\right)} x^{2}}"," ",0,"b*d^m*x^m/(c^(3/2)*(m - 1)*x) + a*d^m*x^m/(c^(3/2)*(m - 2)*x^2)","A",0
974,1,39,0,1.517408," ","integrate((d*x)^m*(b*x+a)/(c*x^2)^(5/2),x, algorithm=""maxima"")","\frac{b d^{m} x^{m}}{c^{\frac{5}{2}} {\left(m - 3\right)} x^{3}} + \frac{a d^{m} x^{m}}{c^{\frac{5}{2}} {\left(m - 4\right)} x^{4}}"," ",0,"b*d^m*x^m/(c^(5/2)*(m - 3)*x^3) + a*d^m*x^m/(c^(5/2)*(m - 4)*x^4)","A",0
975,1,64,0,1.600210," ","integrate((d*x)^m*(c*x^2)^(5/2)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{b^{2} c^{\frac{5}{2}} d^{m} x^{8} x^{m}}{m + 8} + \frac{2 \, a b c^{\frac{5}{2}} d^{m} x^{7} x^{m}}{m + 7} + \frac{a^{2} c^{\frac{5}{2}} d^{m} x^{6} x^{m}}{m + 6}"," ",0,"b^2*c^(5/2)*d^m*x^8*x^m/(m + 8) + 2*a*b*c^(5/2)*d^m*x^7*x^m/(m + 7) + a^2*c^(5/2)*d^m*x^6*x^m/(m + 6)","A",0
976,1,64,0,1.550805," ","integrate((d*x)^m*(c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{b^{2} c^{\frac{3}{2}} d^{m} x^{6} x^{m}}{m + 6} + \frac{2 \, a b c^{\frac{3}{2}} d^{m} x^{5} x^{m}}{m + 5} + \frac{a^{2} c^{\frac{3}{2}} d^{m} x^{4} x^{m}}{m + 4}"," ",0,"b^2*c^(3/2)*d^m*x^6*x^m/(m + 6) + 2*a*b*c^(3/2)*d^m*x^5*x^m/(m + 5) + a^2*c^(3/2)*d^m*x^4*x^m/(m + 4)","A",0
977,1,64,0,1.524822," ","integrate((d*x)^m*(c*x^2)^(1/2)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{b^{2} \sqrt{c} d^{m} x^{4} x^{m}}{m + 4} + \frac{2 \, a b \sqrt{c} d^{m} x^{3} x^{m}}{m + 3} + \frac{a^{2} \sqrt{c} d^{m} x^{2} x^{m}}{m + 2}"," ",0,"b^2*sqrt(c)*d^m*x^4*x^m/(m + 4) + 2*a*b*sqrt(c)*d^m*x^3*x^m/(m + 3) + a^2*sqrt(c)*d^m*x^2*x^m/(m + 2)","A",0
978,1,57,0,1.635374," ","integrate((d*x)^m*(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{b^{2} d^{m} x^{2} x^{m}}{\sqrt{c} {\left(m + 2\right)}} + \frac{2 \, a b d^{m} x x^{m}}{\sqrt{c} {\left(m + 1\right)}} + \frac{a^{2} d^{m} x^{m}}{\sqrt{c} m}"," ",0,"b^2*d^m*x^2*x^m/(sqrt(c)*(m + 2)) + 2*a*b*d^m*x*x^m/(sqrt(c)*(m + 1)) + a^2*d^m*x^m/(sqrt(c)*m)","A",0
979,1,59,0,1.582605," ","integrate((d*x)^m*(b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""maxima"")","\frac{b^{2} d^{m} x^{m}}{c^{\frac{3}{2}} m} + \frac{2 \, a b d^{m} x^{m}}{c^{\frac{3}{2}} {\left(m - 1\right)} x} + \frac{a^{2} d^{m} x^{m}}{c^{\frac{3}{2}} {\left(m - 2\right)} x^{2}}"," ",0,"b^2*d^m*x^m/(c^(3/2)*m) + 2*a*b*d^m*x^m/(c^(3/2)*(m - 1)*x) + a^2*d^m*x^m/(c^(3/2)*(m - 2)*x^2)","A",0
980,1,64,0,1.568957," ","integrate((d*x)^m*(b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""maxima"")","\frac{b^{2} d^{m} x^{m}}{c^{\frac{5}{2}} {\left(m - 2\right)} x^{2}} + \frac{2 \, a b d^{m} x^{m}}{c^{\frac{5}{2}} {\left(m - 3\right)} x^{3}} + \frac{a^{2} d^{m} x^{m}}{c^{\frac{5}{2}} {\left(m - 4\right)} x^{4}}"," ",0,"b^2*d^m*x^m/(c^(5/2)*(m - 2)*x^2) + 2*a*b*d^m*x^m/(c^(5/2)*(m - 3)*x^3) + a^2*d^m*x^m/(c^(5/2)*(m - 4)*x^4)","A",0
981,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^(5/2)*(b*x+a)^n,x, algorithm=""maxima"")","\int \left(c x^{2}\right)^{\frac{5}{2}} {\left(b x + a\right)}^{n} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2)^(5/2)*(b*x + a)^n*(d*x)^m, x)","F",0
982,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^(3/2)*(b*x+a)^n,x, algorithm=""maxima"")","\int \left(c x^{2}\right)^{\frac{3}{2}} {\left(b x + a\right)}^{n} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2)^(3/2)*(b*x + a)^n*(d*x)^m, x)","F",0
983,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^(1/2)*(b*x+a)^n,x, algorithm=""maxima"")","\int \sqrt{c x^{2}} {\left(b x + a\right)}^{n} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^2)*(b*x + a)^n*(d*x)^m, x)","F",0
984,0,0,0,0.000000," ","integrate((d*x)^m*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n} \left(d x\right)^{m}}{\sqrt{c x^{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x)^m/sqrt(c*x^2), x)","F",0
985,0,0,0,0.000000," ","integrate((d*x)^m*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n} \left(d x\right)^{m}}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x)^m/(c*x^2)^(3/2), x)","F",0
986,0,0,0,0.000000," ","integrate((d*x)^m*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n} \left(d x\right)^{m}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x)^m/(c*x^2)^(5/2), x)","F",0
987,0,0,0,0.000000," ","integrate(x^3*(c*x^2)^p*(b*x+a)^(-5-2*p),x, algorithm=""maxima"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p - 5} x^{3}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-2*p - 5)*x^3, x)","F",0
988,0,0,0,0.000000," ","integrate(x^2*(c*x^2)^p*(b*x+a)^(-4-2*p),x, algorithm=""maxima"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p - 4} x^{2}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-2*p - 4)*x^2, x)","F",0
989,0,0,0,0.000000," ","integrate(x*(c*x^2)^p*(b*x+a)^(-3-2*p),x, algorithm=""maxima"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p - 3} x\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-2*p - 3)*x, x)","F",0
990,0,0,0,0.000000," ","integrate((c*x^2)^p*(b*x+a)^(-2-2*p),x, algorithm=""maxima"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p - 2}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-2*p - 2), x)","F",0
991,1,27,0,1.445730," ","integrate((c*x^2)^p*(b*x+a)^(-1-2*p)/x,x, algorithm=""maxima"")","\frac{c^{p} e^{\left(-2 \, p \log\left(b x + a\right) + 2 \, p \log\left(x\right)\right)}}{2 \, a p}"," ",0,"1/2*c^p*e^(-2*p*log(b*x + a) + 2*p*log(x))/(a*p)","A",0
992,0,0,0,0.000000," ","integrate((c*x^2)^p/x^2/((b*x+a)^(2*p)),x, algorithm=""maxima"")","\int \frac{\left(c x^{2}\right)^{p}}{{\left(b x + a\right)}^{2 \, p} x^{2}}\,{d x}"," ",0,"integrate((c*x^2)^p/((b*x + a)^(2*p)*x^2), x)","F",0
993,0,0,0,0.000000," ","integrate((c*x^2)^p*(b*x+a)^(1-2*p)/x^3,x, algorithm=""maxima"")","\int \frac{\left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p + 1}}{x^{3}}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-2*p + 1)/x^3, x)","F",0
994,0,0,0,0.000000," ","integrate((c*x^2)^p*(b*x+a)^(2-2*p)/x^4,x, algorithm=""maxima"")","\int \frac{\left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p + 2}}{x^{4}}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-2*p + 2)/x^4, x)","F",0
995,0,0,0,0.000000," ","integrate(x^m*(c*x^2)^p*(b*x+a)^(-2-m-2*p),x, algorithm=""maxima"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-m - 2 \, p - 2} x^{m}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-m - 2*p - 2)*x^m, x)","F",0
996,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^p*(b*x+a)^(-2-m-2*p),x, algorithm=""maxima"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-m - 2 \, p - 2} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-m - 2*p - 2)*(d*x)^m, x)","F",0
997,0,0,0,0.000000," ","integrate(x^m*(c*x^2)^p*(b*x+a)^n,x, algorithm=""maxima"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{n} x^{m}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^n*x^m, x)","F",0
998,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^p*(b*x+a)^n,x, algorithm=""maxima"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{n} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^n*(d*x)^m, x)","F",0
999,1,31,0,1.367133," ","integrate((b*x+a)^5/(a*d/b+d*x)^3,x, algorithm=""maxima"")","\frac{b^{5} x^{3} + 3 \, a b^{4} x^{2} + 3 \, a^{2} b^{3} x}{3 \, d^{3}}"," ",0,"1/3*(b^5*x^3 + 3*a*b^4*x^2 + 3*a^2*b^3*x)/d^3","B",0
1000,1,20,0,1.239043," ","integrate((b*x+a)^4/(a*d/b+d*x)^3,x, algorithm=""maxima"")","\frac{b^{4} x^{2} + 2 \, a b^{3} x}{2 \, d^{3}}"," ",0,"1/2*(b^4*x^2 + 2*a*b^3*x)/d^3","A",0
1001,1,8,0,1.269555," ","integrate((b*x+a)^3/(a*d/b+d*x)^3,x, algorithm=""maxima"")","\frac{b^{3} x}{d^{3}}"," ",0,"b^3*x/d^3","A",0
1002,1,13,0,1.310246," ","integrate((b*x+a)^2/(a*d/b+d*x)^3,x, algorithm=""maxima"")","\frac{b^{2} \log\left(b x + a\right)}{d^{3}}"," ",0,"b^2*log(b*x + a)/d^3","A",0
1003,1,19,0,1.338500," ","integrate((b*x+a)/(a*d/b+d*x)^3,x, algorithm=""maxima"")","-\frac{b^{2}}{b d^{3} x + a d^{3}}"," ",0,"-b^2/(b*d^3*x + a*d^3)","A",0
1004,1,47,0,1.306750," ","integrate(1/(b*x+a)/(a*d/b+d*x)^3,x, algorithm=""maxima"")","-\frac{b^{2}}{3 \, {\left(b^{3} d^{3} x^{3} + 3 \, a b^{2} d^{3} x^{2} + 3 \, a^{2} b d^{3} x + a^{3} d^{3}\right)}}"," ",0,"-1/3*b^2/(b^3*d^3*x^3 + 3*a*b^2*d^3*x^2 + 3*a^2*b*d^3*x + a^3*d^3)","B",0
1005,1,61,0,1.354223," ","integrate(1/(b*x+a)^2/(a*d/b+d*x)^3,x, algorithm=""maxima"")","-\frac{b^{2}}{4 \, {\left(b^{4} d^{3} x^{4} + 4 \, a b^{3} d^{3} x^{3} + 6 \, a^{2} b^{2} d^{3} x^{2} + 4 \, a^{3} b d^{3} x + a^{4} d^{3}\right)}}"," ",0,"-1/4*b^2/(b^4*d^3*x^4 + 4*a*b^3*d^3*x^3 + 6*a^2*b^2*d^3*x^2 + 4*a^3*b*d^3*x + a^4*d^3)","B",0
1006,1,75,0,1.332060," ","integrate(1/(b*x+a)^3/(a*d/b+d*x)^3,x, algorithm=""maxima"")","-\frac{b^{2}}{5 \, {\left(b^{5} d^{3} x^{5} + 5 \, a b^{4} d^{3} x^{4} + 10 \, a^{2} b^{3} d^{3} x^{3} + 10 \, a^{3} b^{2} d^{3} x^{2} + 5 \, a^{4} b d^{3} x + a^{5} d^{3}\right)}}"," ",0,"-1/5*b^2/(b^5*d^3*x^5 + 5*a*b^4*d^3*x^4 + 10*a^2*b^3*d^3*x^3 + 10*a^3*b^2*d^3*x^2 + 5*a^4*b*d^3*x + a^5*d^3)","B",0
1007,1,35,0,1.371804," ","integrate((b*c/d+b*x)^5/(d*x+c)^3,x, algorithm=""maxima"")","\frac{b^{5} d^{2} x^{3} + 3 \, b^{5} c d x^{2} + 3 \, b^{5} c^{2} x}{3 \, d^{5}}"," ",0,"1/3*(b^5*d^2*x^3 + 3*b^5*c*d*x^2 + 3*b^5*c^2*x)/d^5","B",0
1008,1,21,0,1.315184," ","integrate((b*c/d+b*x)^4/(d*x+c)^3,x, algorithm=""maxima"")","\frac{b^{4} d x^{2} + 2 \, b^{4} c x}{2 \, d^{4}}"," ",0,"1/2*(b^4*d*x^2 + 2*b^4*c*x)/d^4","A",0
1009,1,8,0,1.327419," ","integrate((b*c/d+b*x)^3/(d*x+c)^3,x, algorithm=""maxima"")","\frac{b^{3} x}{d^{3}}"," ",0,"b^3*x/d^3","A",0
1010,1,13,0,1.366766," ","integrate((b*c/d+b*x)^2/(d*x+c)^3,x, algorithm=""maxima"")","\frac{b^{2} \log\left(d x + c\right)}{d^{3}}"," ",0,"b^2*log(d*x + c)/d^3","A",0
1011,1,16,0,1.381006," ","integrate((b*c/d+b*x)/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{b}{d^{3} x + c d^{2}}"," ",0,"-b/(d^3*x + c*d^2)","A",0
1012,1,36,0,1.344020," ","integrate(1/(b*c/d+b*x)/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)}}"," ",0,"-1/3/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)","B",0
1013,1,59,0,1.345615," ","integrate(1/(b*c/d+b*x)^2/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{d}{4 \, {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)}}"," ",0,"-1/4*d/(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)","B",0
1014,1,75,0,1.360031," ","integrate(1/(b*c/d+b*x)^3/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{d^{2}}{5 \, {\left(b^{3} d^{5} x^{5} + 5 \, b^{3} c d^{4} x^{4} + 10 \, b^{3} c^{2} d^{3} x^{3} + 10 \, b^{3} c^{3} d^{2} x^{2} + 5 \, b^{3} c^{4} d x + b^{3} c^{5}\right)}}"," ",0,"-1/5*d^2/(b^3*d^5*x^5 + 5*b^3*c*d^4*x^4 + 10*b^3*c^2*d^3*x^3 + 10*b^3*c^3*d^2*x^2 + 5*b^3*c^4*d*x + b^3*c^5)","B",0
1015,1,649,0,1.808831," ","integrate((b*x+a)^5*(b*c*x+a*c)^n,x, algorithm=""maxima"")","\frac{5 \, {\left(b^{2} c^{n} {\left(n + 1\right)} x^{2} + a b c^{n} n x - a^{2} c^{n}\right)} {\left(b x + a\right)}^{n} a^{4}}{{\left(n^{2} + 3 \, n + 2\right)} b} + \frac{10 \, {\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} c^{n} x^{3} + {\left(n^{2} + n\right)} a b^{2} c^{n} x^{2} - 2 \, a^{2} b c^{n} n x + 2 \, a^{3} c^{n}\right)} {\left(b x + a\right)}^{n} a^{3}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b} + \frac{{\left(b c x + a c\right)}^{n + 1} a^{5}}{b c {\left(n + 1\right)}} + \frac{10 \, {\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} c^{n} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} c^{n} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} c^{n} x^{2} + 6 \, a^{3} b c^{n} n x - 6 \, a^{4} c^{n}\right)} {\left(b x + a\right)}^{n} a^{2}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b} + \frac{5 \, {\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{5} c^{n} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a b^{4} c^{n} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{2} b^{3} c^{n} x^{3} + 12 \, {\left(n^{2} + n\right)} a^{3} b^{2} c^{n} x^{2} - 24 \, a^{4} b c^{n} n x + 24 \, a^{5} c^{n}\right)} {\left(b x + a\right)}^{n} a}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b} + \frac{{\left({\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{6} c^{n} x^{6} + {\left(n^{5} + 10 \, n^{4} + 35 \, n^{3} + 50 \, n^{2} + 24 \, n\right)} a b^{5} c^{n} x^{5} - 5 \, {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a^{2} b^{4} c^{n} x^{4} + 20 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{3} b^{3} c^{n} x^{3} - 60 \, {\left(n^{2} + n\right)} a^{4} b^{2} c^{n} x^{2} + 120 \, a^{5} b c^{n} n x - 120 \, a^{6} c^{n}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{6} + 21 \, n^{5} + 175 \, n^{4} + 735 \, n^{3} + 1624 \, n^{2} + 1764 \, n + 720\right)} b}"," ",0,"5*(b^2*c^n*(n + 1)*x^2 + a*b*c^n*n*x - a^2*c^n)*(b*x + a)^n*a^4/((n^2 + 3*n + 2)*b) + 10*((n^2 + 3*n + 2)*b^3*c^n*x^3 + (n^2 + n)*a*b^2*c^n*x^2 - 2*a^2*b*c^n*n*x + 2*a^3*c^n)*(b*x + a)^n*a^3/((n^3 + 6*n^2 + 11*n + 6)*b) + (b*c*x + a*c)^(n + 1)*a^5/(b*c*(n + 1)) + 10*((n^3 + 6*n^2 + 11*n + 6)*b^4*c^n*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*c^n*x^3 - 3*(n^2 + n)*a^2*b^2*c^n*x^2 + 6*a^3*b*c^n*n*x - 6*a^4*c^n)*(b*x + a)^n*a^2/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b) + 5*((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^5*c^n*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*a*b^4*c^n*x^4 - 4*(n^3 + 3*n^2 + 2*n)*a^2*b^3*c^n*x^3 + 12*(n^2 + n)*a^3*b^2*c^n*x^2 - 24*a^4*b*c^n*n*x + 24*a^5*c^n)*(b*x + a)^n*a/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b) + ((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^6*c^n*x^6 + (n^5 + 10*n^4 + 35*n^3 + 50*n^2 + 24*n)*a*b^5*c^n*x^5 - 5*(n^4 + 6*n^3 + 11*n^2 + 6*n)*a^2*b^4*c^n*x^4 + 20*(n^3 + 3*n^2 + 2*n)*a^3*b^3*c^n*x^3 - 60*(n^2 + n)*a^4*b^2*c^n*x^2 + 120*a^5*b*c^n*n*x - 120*a^6*c^n)*(b*x + a)^n/((n^6 + 21*n^5 + 175*n^4 + 735*n^3 + 1624*n^2 + 1764*n + 720)*b)","B",0
1016,1,113,0,1.312559," ","integrate((b*x+a)^5*(b*c*x+a*c)^3,x, algorithm=""maxima"")","\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*b^2*c^3*x^3 + 4*a^7*b*c^3*x^2 + a^8*c^3*x","B",0
1017,1,99,0,1.358710," ","integrate((b*x+a)^5*(b*c*x+a*c)^2,x, algorithm=""maxima"")","\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*b*c^2*x^2 + a^7*c^2*x","B",0
1018,1,71,0,1.353411," ","integrate((b*x+a)^5*(b*c*x+a*c),x, algorithm=""maxima"")","\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",0
1019,1,48,0,1.351465," ","integrate((b*x+a)^5/(b*c*x+a*c),x, algorithm=""maxima"")","\frac{b^{4} x^{5} + 5 \, a b^{3} x^{4} + 10 \, a^{2} b^{2} x^{3} + 10 \, a^{3} b x^{2} + 5 \, a^{4} x}{5 \, c}"," ",0,"1/5*(b^4*x^5 + 5*a*b^3*x^4 + 10*a^2*b^2*x^3 + 10*a^3*b*x^2 + 5*a^4*x)/c","B",0
1020,1,37,0,1.309338," ","integrate((b*x+a)^5/(b*c*x+a*c)^2,x, algorithm=""maxima"")","\frac{b^{3} x^{4} + 4 \, a b^{2} x^{3} + 6 \, a^{2} b x^{2} + 4 \, a^{3} x}{4 \, c^{2}}"," ",0,"1/4*(b^3*x^4 + 4*a*b^2*x^3 + 6*a^2*b*x^2 + 4*a^3*x)/c^2","B",0
1021,1,26,0,1.305317," ","integrate((b*x+a)^5/(b*c*x+a*c)^3,x, algorithm=""maxima"")","\frac{b^{2} x^{3} + 3 \, a b x^{2} + 3 \, a^{2} x}{3 \, c^{3}}"," ",0,"1/3*(b^2*x^3 + 3*a*b*x^2 + 3*a^2*x)/c^3","A",0
1022,1,15,0,1.379694," ","integrate((b*x+a)^5/(b*c*x+a*c)^4,x, algorithm=""maxima"")","\frac{b x^{2} + 2 \, a x}{2 \, c^{4}}"," ",0,"1/2*(b*x^2 + 2*a*x)/c^4","A",0
1023,1,5,0,1.399321," ","integrate((b*x+a)^5/(b*c*x+a*c)^5,x, algorithm=""maxima"")","\frac{x}{c^{5}}"," ",0,"x/c^5","A",0
1024,1,13,0,1.310736," ","integrate((b*x+a)^5/(b*c*x+a*c)^6,x, algorithm=""maxima"")","\frac{\log\left(b x + a\right)}{b c^{6}}"," ",0,"log(b*x + a)/(b*c^6)","A",0
1025,1,19,0,1.328477," ","integrate((b*x+a)^5/(b*c*x+a*c)^7,x, algorithm=""maxima"")","-\frac{1}{b^{2} c^{7} x + a b c^{7}}"," ",0,"-1/(b^2*c^7*x + a*b*c^7)","A",0
1026,1,33,0,1.332320," ","integrate((b*x+a)^5/(b*c*x+a*c)^8,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(b^{3} c^{8} x^{2} + 2 \, a b^{2} c^{8} x + a^{2} b c^{8}\right)}}"," ",0,"-1/2/(b^3*c^8*x^2 + 2*a*b^2*c^8*x + a^2*b*c^8)","B",0
1027,1,6,0,2.991586," ","integrate(1/(-2-3*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} i \, \log\left(x + \frac{2}{3}\right)"," ",0,"1/3*I*log(x + 2/3)","C",0
1028,1,44,0,1.228340," ","integrate((b*x+a)*(-b*c*x+a*c)^3,x, algorithm=""maxima"")","-\frac{1}{5} \, b^{4} c^{3} x^{5} + \frac{1}{2} \, a b^{3} c^{3} x^{4} - a^{3} b c^{3} x^{2} + a^{4} c^{3} x"," ",0,"-1/5*b^4*c^3*x^5 + 1/2*a*b^3*c^3*x^4 - a^3*b*c^3*x^2 + a^4*c^3*x","A",0
1029,1,44,0,1.312637," ","integrate((b*x+a)*(-b*c*x+a*c)^2,x, algorithm=""maxima"")","\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*b*c^2*x^2 + a^3*c^2*x","A",0
1030,1,16,0,1.351419," ","integrate((b*x+a)*(-b*c*x+a*c),x, algorithm=""maxima"")","-\frac{1}{3} \, b^{2} c x^{3} + a^{2} c x"," ",0,"-1/3*b^2*c*x^3 + a^2*c*x","A",0
1031,1,10,0,1.336242," ","integrate(b*x+a,x, algorithm=""maxima"")","\frac{1}{2} \, b x^{2} + a x"," ",0,"1/2*b*x^2 + a*x","A",0
1032,1,24,0,1.307591," ","integrate((b*x+a)/(-b*c*x+a*c),x, algorithm=""maxima"")","-\frac{x}{c} - \frac{2 \, a \log\left(b x - a\right)}{b c}"," ",0,"-x/c - 2*a*log(b*x - a)/(b*c)","A",0
1033,1,37,0,1.307580," ","integrate((b*x+a)/(-b*c*x+a*c)^2,x, algorithm=""maxima"")","-\frac{2 \, a}{b^{2} c^{2} x - a b c^{2}} + \frac{\log\left(b x - a\right)}{b c^{2}}"," ",0,"-2*a/(b^2*c^2*x - a*b*c^2) + log(b*x - a)/(b*c^2)","A",0
1034,1,30,0,1.310310," ","integrate((b*x+a)/(-b*c*x+a*c)^3,x, algorithm=""maxima"")","\frac{x}{b^{2} c^{3} x^{2} - 2 \, a b c^{3} x + a^{2} c^{3}}"," ",0,"x/(b^2*c^3*x^2 - 2*a*b*c^3*x + a^2*c^3)","B",0
1035,1,54,0,1.337008," ","integrate((b*x+a)/(-b*c*x+a*c)^4,x, algorithm=""maxima"")","-\frac{3 \, b x + a}{6 \, {\left(b^{4} c^{4} x^{3} - 3 \, a b^{3} c^{4} x^{2} + 3 \, a^{2} b^{2} c^{4} x - a^{3} b c^{4}\right)}}"," ",0,"-1/6*(3*b*x + a)/(b^4*c^4*x^3 - 3*a*b^3*c^4*x^2 + 3*a^2*b^2*c^4*x - a^3*b*c^4)","A",0
1036,1,67,0,1.348806," ","integrate((b*x+a)/(-b*c*x+a*c)^5,x, algorithm=""maxima"")","\frac{2 \, b x + a}{6 \, {\left(b^{5} c^{5} x^{4} - 4 \, a b^{4} c^{5} x^{3} + 6 \, a^{2} b^{3} c^{5} x^{2} - 4 \, a^{3} b^{2} c^{5} x + a^{4} b c^{5}\right)}}"," ",0,"1/6*(2*b*x + a)/(b^5*c^5*x^4 - 4*a*b^4*c^5*x^3 + 6*a^2*b^3*c^5*x^2 - 4*a^3*b^2*c^5*x + a^4*b*c^5)","A",0
1037,1,84,0,1.312195," ","integrate((b*x+a)/(-b*c*x+a*c)^6,x, algorithm=""maxima"")","-\frac{5 \, b x + 3 \, a}{20 \, {\left(b^{6} c^{6} x^{5} - 5 \, a b^{5} c^{6} x^{4} + 10 \, a^{2} b^{4} c^{6} x^{3} - 10 \, a^{3} b^{3} c^{6} x^{2} + 5 \, a^{4} b^{2} c^{6} x - a^{5} b c^{6}\right)}}"," ",0,"-1/20*(5*b*x + 3*a)/(b^6*c^6*x^5 - 5*a*b^5*c^6*x^4 + 10*a^2*b^4*c^6*x^3 - 10*a^3*b^3*c^6*x^2 + 5*a^4*b^2*c^6*x - a^5*b*c^6)","B",0
1038,1,72,0,1.293026," ","integrate((b*x+a)^2*(-b*c*x+a*c)^3,x, algorithm=""maxima"")","-\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*b^2*c^3*x^3 - 1/2*a^4*b*c^3*x^2 + a^5*c^3*x","A",0
1039,1,34,0,1.337585," ","integrate((b*x+a)^2*(-b*c*x+a*c)^2,x, algorithm=""maxima"")","\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,"1/5*b^4*c^2*x^5 - 2/3*a^2*b^2*c^2*x^3 + a^4*c^2*x","A",0
1040,1,36,0,1.318483," ","integrate((b*x+a)^2*(-b*c*x+a*c),x, algorithm=""maxima"")","-\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",0
1041,1,20,0,1.270080," ","integrate((b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} x^{3} + a b x^{2} + a^{2} x"," ",0,"1/3*b^2*x^3 + a*b*x^2 + a^2*x","A",0
1042,1,35,0,1.289256," ","integrate((b*x+a)^2/(-b*c*x+a*c),x, algorithm=""maxima"")","-\frac{4 \, a^{2} \log\left(b x - a\right)}{b c} - \frac{b x^{2} + 6 \, a x}{2 \, c}"," ",0,"-4*a^2*log(b*x - a)/(b*c) - 1/2*(b*x^2 + 6*a*x)/c","A",0
1043,1,46,0,1.378008," ","integrate((b*x+a)^2/(-b*c*x+a*c)^2,x, algorithm=""maxima"")","-\frac{4 \, a^{2}}{b^{2} c^{2} x - a b c^{2}} + \frac{x}{c^{2}} + \frac{4 \, a \log\left(b x - a\right)}{b c^{2}}"," ",0,"-4*a^2/(b^2*c^2*x - a*b*c^2) + x/c^2 + 4*a*log(b*x - a)/(b*c^2)","A",0
1044,1,61,0,1.333400," ","integrate((b*x+a)^2/(-b*c*x+a*c)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, a b x - a^{2}\right)}}{b^{3} c^{3} x^{2} - 2 \, a b^{2} c^{3} x + a^{2} b c^{3}} - \frac{\log\left(b x - a\right)}{b c^{3}}"," ",0,"2*(2*a*b*x - a^2)/(b^3*c^3*x^2 - 2*a*b^2*c^3*x + a^2*b*c^3) - log(b*x - a)/(b*c^3)","A",0
1045,1,60,0,1.333254," ","integrate((b*x+a)^2/(-b*c*x+a*c)^4,x, algorithm=""maxima"")","-\frac{3 \, b^{2} x^{2} + a^{2}}{3 \, {\left(b^{4} c^{4} x^{3} - 3 \, a b^{3} c^{4} x^{2} + 3 \, a^{2} b^{2} c^{4} x - a^{3} b c^{4}\right)}}"," ",0,"-1/3*(3*b^2*x^2 + a^2)/(b^4*c^4*x^3 - 3*a*b^3*c^4*x^2 + 3*a^2*b^2*c^4*x - a^3*b*c^4)","B",0
1046,1,78,0,1.379805," ","integrate((b*x+a)^2/(-b*c*x+a*c)^5,x, algorithm=""maxima"")","\frac{3 \, b^{2} x^{2} + 2 \, a b x + a^{2}}{6 \, {\left(b^{5} c^{5} x^{4} - 4 \, a b^{4} c^{5} x^{3} + 6 \, a^{2} b^{3} c^{5} x^{2} - 4 \, a^{3} b^{2} c^{5} x + a^{4} b c^{5}\right)}}"," ",0,"1/6*(3*b^2*x^2 + 2*a*b*x + a^2)/(b^5*c^5*x^4 - 4*a*b^4*c^5*x^3 + 6*a^2*b^3*c^5*x^2 - 4*a^3*b^2*c^5*x + a^4*b*c^5)","A",0
1047,1,95,0,1.385704," ","integrate((b*x+a)^2/(-b*c*x+a*c)^6,x, algorithm=""maxima"")","-\frac{5 \, b^{2} x^{2} + 5 \, a b x + 2 \, a^{2}}{15 \, {\left(b^{6} c^{6} x^{5} - 5 \, a b^{5} c^{6} x^{4} + 10 \, a^{2} b^{4} c^{6} x^{3} - 10 \, a^{3} b^{3} c^{6} x^{2} + 5 \, a^{4} b^{2} c^{6} x - a^{5} b c^{6}\right)}}"," ",0,"-1/15*(5*b^2*x^2 + 5*a*b*x + 2*a^2)/(b^6*c^6*x^5 - 5*a*b^5*c^6*x^4 + 10*a^2*b^4*c^6*x^3 - 10*a^3*b^3*c^6*x^2 + 5*a^4*b^2*c^6*x - a^5*b*c^6)","A",0
1048,1,108,0,1.419755," ","integrate((b*x+a)^2/(-b*c*x+a*c)^7,x, algorithm=""maxima"")","\frac{15 \, b^{2} x^{2} + 18 \, a b x + 7 \, a^{2}}{60 \, {\left(b^{7} c^{7} x^{6} - 6 \, a b^{6} c^{7} x^{5} + 15 \, a^{2} b^{5} c^{7} x^{4} - 20 \, a^{3} b^{4} c^{7} x^{3} + 15 \, a^{4} b^{3} c^{7} x^{2} - 6 \, a^{5} b^{2} c^{7} x + a^{6} b c^{7}\right)}}"," ",0,"1/60*(15*b^2*x^2 + 18*a*b*x + 7*a^2)/(b^7*c^7*x^6 - 6*a*b^6*c^7*x^5 + 15*a^2*b^5*c^7*x^4 - 20*a^3*b^4*c^7*x^3 + 15*a^4*b^3*c^7*x^2 - 6*a^5*b^2*c^7*x + a^6*b*c^7)","A",0
1049,1,48,0,1.342396," ","integrate((-b*c*x+a*c)^3/(b*x+a),x, algorithm=""maxima"")","-\frac{1}{3} \, b^{2} c^{3} x^{3} + 2 \, a b c^{3} x^{2} - 7 \, a^{2} c^{3} x + \frac{8 \, a^{3} c^{3} \log\left(b x + a\right)}{b}"," ",0,"-1/3*b^2*c^3*x^3 + 2*a*b*c^3*x^2 - 7*a^2*c^3*x + 8*a^3*c^3*log(b*x + a)/b","A",0
1050,1,34,0,1.341740," ","integrate((-b*c*x+a*c)^2/(b*x+a),x, algorithm=""maxima"")","\frac{1}{2} \, b c^{2} x^{2} - 3 \, a c^{2} x + \frac{4 \, a^{2} c^{2} \log\left(b x + a\right)}{b}"," ",0,"1/2*b*c^2*x^2 - 3*a*c^2*x + 4*a^2*c^2*log(b*x + a)/b","A",0
1051,1,18,0,1.338673," ","integrate((-b*c*x+a*c)/(b*x+a),x, algorithm=""maxima"")","-c x + \frac{2 \, a c \log\left(b x + a\right)}{b}"," ",0,"-c*x + 2*a*c*log(b*x + a)/b","A",0
1052,1,10,0,1.326026," ","integrate(1/(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(b x + a\right)}{b}"," ",0,"log(b*x + a)/b","A",0
1053,1,37,0,1.400975," ","integrate(1/(b*x+a)/(-b*c*x+a*c),x, algorithm=""maxima"")","\frac{\log\left(b x + a\right)}{2 \, a b c} - \frac{\log\left(b x - a\right)}{2 \, a b c}"," ",0,"1/2*log(b*x + a)/(a*b*c) - 1/2*log(b*x - a)/(a*b*c)","B",0
1054,1,60,0,1.255781," ","integrate(1/(b*x+a)/(-b*c*x+a*c)^2,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(a b^{2} c^{2} x - a^{2} b c^{2}\right)}} + \frac{\log\left(b x + a\right)}{4 \, a^{2} b c^{2}} - \frac{\log\left(b x - a\right)}{4 \, a^{2} b c^{2}}"," ",0,"-1/2/(a*b^2*c^2*x - a^2*b*c^2) + 1/4*log(b*x + a)/(a^2*b*c^2) - 1/4*log(b*x - a)/(a^2*b*c^2)","A",0
1055,1,82,0,1.348070," ","integrate(1/(b*x+a)/(-b*c*x+a*c)^3,x, algorithm=""maxima"")","-\frac{b x - 2 \, a}{4 \, {\left(a^{2} b^{3} c^{3} x^{2} - 2 \, a^{3} b^{2} c^{3} x + a^{4} b c^{3}\right)}} + \frac{\log\left(b x + a\right)}{8 \, a^{3} b c^{3}} - \frac{\log\left(b x - a\right)}{8 \, a^{3} b c^{3}}"," ",0,"-1/4*(b*x - 2*a)/(a^2*b^3*c^3*x^2 - 2*a^3*b^2*c^3*x + a^4*b*c^3) + 1/8*log(b*x + a)/(a^3*b*c^3) - 1/8*log(b*x - a)/(a^3*b*c^3)","A",0
1056,1,53,0,1.294445," ","integrate((-b*c*x+a*c)^3/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, b c^{3} x^{2} - \frac{8 \, a^{3} c^{3}}{b^{2} x + a b} + 5 \, a c^{3} x - \frac{12 \, a^{2} c^{3} \log\left(b x + a\right)}{b}"," ",0,"-1/2*b*c^3*x^2 - 8*a^3*c^3/(b^2*x + a*b) + 5*a*c^3*x - 12*a^2*c^3*log(b*x + a)/b","A",0
1057,1,40,0,1.362002," ","integrate((-b*c*x+a*c)^2/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{4 \, a^{2} c^{2}}{b^{2} x + a b} + c^{2} x - \frac{4 \, a c^{2} \log\left(b x + a\right)}{b}"," ",0,"-4*a^2*c^2/(b^2*x + a*b) + c^2*x - 4*a*c^2*log(b*x + a)/b","A",0
1058,1,28,0,1.338149," ","integrate((-b*c*x+a*c)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{2 \, a c}{b^{2} x + a b} - \frac{c \log\left(b x + a\right)}{b}"," ",0,"-2*a*c/(b^2*x + a*b) - c*log(b*x + a)/b","A",0
1059,1,12,0,1.372069," ","integrate(1/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{{\left(b x + a\right)} b}"," ",0,"-1/((b*x + a)*b)","A",0
1060,1,55,0,1.375798," ","integrate(1/(b*x+a)^2/(-b*c*x+a*c),x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(a b^{2} c x + a^{2} b c\right)}} + \frac{\log\left(b x + a\right)}{4 \, a^{2} b c} - \frac{\log\left(b x - a\right)}{4 \, a^{2} b c}"," ",0,"-1/2/(a*b^2*c*x + a^2*b*c) + 1/4*log(b*x + a)/(a^2*b*c) - 1/4*log(b*x - a)/(a^2*b*c)","A",0
1061,1,64,0,1.315298," ","integrate(1/(b*x+a)^2/(-b*c*x+a*c)^2,x, algorithm=""maxima"")","-\frac{x}{2 \, {\left(a^{2} b^{2} c^{2} x^{2} - a^{4} c^{2}\right)}} + \frac{\log\left(b x + a\right)}{4 \, a^{3} b c^{2}} - \frac{\log\left(b x - a\right)}{4 \, a^{3} b c^{2}}"," ",0,"-1/2*x/(a^2*b^2*c^2*x^2 - a^4*c^2) + 1/4*log(b*x + a)/(a^3*b*c^2) - 1/4*log(b*x - a)/(a^3*b*c^2)","A",0
1062,1,108,0,1.354661," ","integrate(1/(b*x+a)^2/(-b*c*x+a*c)^3,x, algorithm=""maxima"")","-\frac{3 \, b^{2} x^{2} - 3 \, a b x - 2 \, a^{2}}{8 \, {\left(a^{3} b^{4} c^{3} x^{3} - a^{4} b^{3} c^{3} x^{2} - a^{5} b^{2} c^{3} x + a^{6} b c^{3}\right)}} + \frac{3 \, \log\left(b x + a\right)}{16 \, a^{4} b c^{3}} - \frac{3 \, \log\left(b x - a\right)}{16 \, a^{4} b c^{3}}"," ",0,"-1/8*(3*b^2*x^2 - 3*a*b*x - 2*a^2)/(a^3*b^4*c^3*x^3 - a^4*b^3*c^3*x^2 - a^5*b^2*c^3*x + a^6*b*c^3) + 3/16*log(b*x + a)/(a^4*b*c^3) - 3/16*log(b*x - a)/(a^4*b*c^3)","A",0
1063,1,68,0,3.004868," ","integrate((1-x)^(9/2)*(1+x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x^{3} + \frac{4}{5} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x^{2} - \frac{13}{8} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{28}{15} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} + \frac{21}{16} \, \sqrt{-x^{2} + 1} x + \frac{21}{16} \, \arcsin\left(x\right)"," ",0,"-1/6*(-x^2 + 1)^(3/2)*x^3 + 4/5*(-x^2 + 1)^(3/2)*x^2 - 13/8*(-x^2 + 1)^(3/2)*x + 28/15*(-x^2 + 1)^(3/2) + 21/16*sqrt(-x^2 + 1)*x + 21/16*arcsin(x)","A",0
1064,1,54,0,2.965317," ","integrate((1-x)^(7/2)*(1+x)^(1/2),x, algorithm=""maxima"")","\frac{1}{5} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x^{2} - \frac{3}{4} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{17}{15} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} + \frac{7}{8} \, \sqrt{-x^{2} + 1} x + \frac{7}{8} \, \arcsin\left(x\right)"," ",0,"1/5*(-x^2 + 1)^(3/2)*x^2 - 3/4*(-x^2 + 1)^(3/2)*x + 17/15*(-x^2 + 1)^(3/2) + 7/8*sqrt(-x^2 + 1)*x + 7/8*arcsin(x)","A",0
1065,1,40,0,2.953332," ","integrate((1-x)^(5/2)*(1+x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{2}{3} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} + \frac{5}{8} \, \sqrt{-x^{2} + 1} x + \frac{5}{8} \, \arcsin\left(x\right)"," ",0,"-1/4*(-x^2 + 1)^(3/2)*x + 2/3*(-x^2 + 1)^(3/2) + 5/8*sqrt(-x^2 + 1)*x + 5/8*arcsin(x)","A",0
1066,1,28,0,2.902481," ","integrate((1-x)^(3/2)*(1+x)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} + \frac{1}{2} \, \sqrt{-x^{2} + 1} x + \frac{1}{2} \, \arcsin\left(x\right)"," ",0,"1/3*(-x^2 + 1)^(3/2) + 1/2*sqrt(-x^2 + 1)*x + 1/2*arcsin(x)","A",0
1067,1,17,0,2.977734," ","integrate((1-x)^(1/2)*(1+x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-x^{2} + 1} x + \frac{1}{2} \, \arcsin\left(x\right)"," ",0,"1/2*sqrt(-x^2 + 1)*x + 1/2*arcsin(x)","A",0
1068,1,14,0,2.901058," ","integrate((1+x)^(1/2)/(1-x)^(1/2),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 1} + \arcsin\left(x\right)"," ",0,"-sqrt(-x^2 + 1) + arcsin(x)","A",0
1069,1,21,0,2.954007," ","integrate((1+x)^(1/2)/(1-x)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-x^{2} + 1}}{x - 1} - \arcsin\left(x\right)"," ",0,"-2*sqrt(-x^2 + 1)/(x - 1) - arcsin(x)","A",0
1070,1,38,0,1.260510," ","integrate((1+x)^(1/2)/(1-x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{-x^{2} + 1}}{3 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{3 \, {\left(x - 1\right)}}"," ",0,"2/3*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 1/3*sqrt(-x^2 + 1)/(x - 1)","B",0
1071,1,64,0,1.397407," ","integrate((1+x)^(1/2)/(1-x)^(7/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-x^{2} + 1}}{5 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{15 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{15 \, {\left(x - 1\right)}}"," ",0,"-2/5*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) - 1/15*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 1/15*sqrt(-x^2 + 1)/(x - 1)","B",0
1072,1,95,0,1.271797," ","integrate((1+x)^(1/2)/(1-x)^(9/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{-x^{2} + 1}}{7 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{35 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} - \frac{2 \, \sqrt{-x^{2} + 1}}{105 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{2 \, \sqrt{-x^{2} + 1}}{105 \, {\left(x - 1\right)}}"," ",0,"2/7*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) + 1/35*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) - 2/105*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 2/105*sqrt(-x^2 + 1)/(x - 1)","B",0
1073,1,131,0,1.348470," ","integrate((1+x)^(1/2)/(1-x)^(11/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-x^{2} + 1}}{9 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{63 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{105 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} - \frac{2 \, \sqrt{-x^{2} + 1}}{315 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{2 \, \sqrt{-x^{2} + 1}}{315 \, {\left(x - 1\right)}}"," ",0,"-2/9*sqrt(-x^2 + 1)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) - 1/63*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) + 1/105*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) - 2/315*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 2/315*sqrt(-x^2 + 1)/(x - 1)","B",0
1074,1,172,0,1.322497," ","integrate((1+x)^(1/2)/(1-x)^(13/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{-x^{2} + 1}}{11 \, {\left(x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{99 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} - \frac{4 \, \sqrt{-x^{2} + 1}}{693 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} + \frac{4 \, \sqrt{-x^{2} + 1}}{1155 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} - \frac{8 \, \sqrt{-x^{2} + 1}}{3465 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{8 \, \sqrt{-x^{2} + 1}}{3465 \, {\left(x - 1\right)}}"," ",0,"2/11*sqrt(-x^2 + 1)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1) + 1/99*sqrt(-x^2 + 1)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) - 4/693*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) + 4/1155*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) - 8/3465*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 8/3465*sqrt(-x^2 + 1)/(x - 1)","B",0
1075,1,66,0,3.027073," ","integrate((1-x)^(9/2)*(1+x)^(3/2),x, algorithm=""maxima"")","\frac{1}{7} \, {\left(-x^{2} + 1\right)}^{\frac{5}{2}} x^{2} - \frac{1}{2} \, {\left(-x^{2} + 1\right)}^{\frac{5}{2}} x + \frac{23}{35} \, {\left(-x^{2} + 1\right)}^{\frac{5}{2}} + \frac{3}{8} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{9}{16} \, \sqrt{-x^{2} + 1} x + \frac{9}{16} \, \arcsin\left(x\right)"," ",0,"1/7*(-x^2 + 1)^(5/2)*x^2 - 1/2*(-x^2 + 1)^(5/2)*x + 23/35*(-x^2 + 1)^(5/2) + 3/8*(-x^2 + 1)^(3/2)*x + 9/16*sqrt(-x^2 + 1)*x + 9/16*arcsin(x)","A",0
1076,1,52,0,2.904364," ","integrate((1-x)^(7/2)*(1+x)^(3/2),x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(-x^{2} + 1\right)}^{\frac{5}{2}} x + \frac{2}{5} \, {\left(-x^{2} + 1\right)}^{\frac{5}{2}} + \frac{7}{24} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{7}{16} \, \sqrt{-x^{2} + 1} x + \frac{7}{16} \, \arcsin\left(x\right)"," ",0,"-1/6*(-x^2 + 1)^(5/2)*x + 2/5*(-x^2 + 1)^(5/2) + 7/24*(-x^2 + 1)^(3/2)*x + 7/16*sqrt(-x^2 + 1)*x + 7/16*arcsin(x)","A",0
1077,1,40,0,2.977048," ","integrate((1-x)^(5/2)*(1+x)^(3/2),x, algorithm=""maxima"")","\frac{1}{5} \, {\left(-x^{2} + 1\right)}^{\frac{5}{2}} + \frac{1}{4} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{3}{8} \, \sqrt{-x^{2} + 1} x + \frac{3}{8} \, \arcsin\left(x\right)"," ",0,"1/5*(-x^2 + 1)^(5/2) + 1/4*(-x^2 + 1)^(3/2)*x + 3/8*sqrt(-x^2 + 1)*x + 3/8*arcsin(x)","A",0
1078,1,29,0,2.911209," ","integrate((1-x)^(3/2)*(1+x)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{3}{8} \, \sqrt{-x^{2} + 1} x + \frac{3}{8} \, \arcsin\left(x\right)"," ",0,"1/4*(-x^2 + 1)^(3/2)*x + 3/8*sqrt(-x^2 + 1)*x + 3/8*arcsin(x)","A",0
1079,1,28,0,2.966617," ","integrate((1-x)^(1/2)*(1+x)^(3/2),x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} + \frac{1}{2} \, \sqrt{-x^{2} + 1} x + \frac{1}{2} \, \arcsin\left(x\right)"," ",0,"-1/3*(-x^2 + 1)^(3/2) + 1/2*sqrt(-x^2 + 1)*x + 1/2*arcsin(x)","A",0
1080,1,28,0,3.088436," ","integrate((1+x)^(3/2)/(1-x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{-x^{2} + 1} x - 2 \, \sqrt{-x^{2} + 1} + \frac{3}{2} \, \arcsin\left(x\right)"," ",0,"-1/2*sqrt(-x^2 + 1)*x - 2*sqrt(-x^2 + 1) + 3/2*arcsin(x)","A",0
1081,1,42,0,2.993489," ","integrate((1+x)^(3/2)/(1-x)^(3/2),x, algorithm=""maxima"")","-\frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{x^{2} - 2 \, x + 1} - \frac{6 \, \sqrt{-x^{2} + 1}}{x - 1} - 3 \, \arcsin\left(x\right)"," ",0,"-(-x^2 + 1)^(3/2)/(x^2 - 2*x + 1) - 6*sqrt(-x^2 + 1)/(x - 1) - 3*arcsin(x)","A",0
1082,1,66,0,2.972594," ","integrate((1+x)^(3/2)/(1-x)^(5/2),x, algorithm=""maxima"")","-\frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{3 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} + \frac{2 \, \sqrt{-x^{2} + 1}}{3 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{7 \, \sqrt{-x^{2} + 1}}{3 \, {\left(x - 1\right)}} + \arcsin\left(x\right)"," ",0,"-1/3*(-x^2 + 1)^(3/2)/(x^3 - 3*x^2 + 3*x - 1) + 2/3*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 7/3*sqrt(-x^2 + 1)/(x - 1) + arcsin(x)","B",0
1083,1,94,0,1.283724," ","integrate((1+x)^(3/2)/(1-x)^(7/2),x, algorithm=""maxima"")","\frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1} + \frac{6 \, \sqrt{-x^{2} + 1}}{5 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{5 \, {\left(x^{2} - 2 \, x + 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{5 \, {\left(x - 1\right)}}"," ",0,"(-x^2 + 1)^(3/2)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) + 6/5*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) + 1/5*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) - 1/5*sqrt(-x^2 + 1)/(x - 1)","B",0
1084,1,131,0,1.384119," ","integrate((1+x)^(3/2)/(1-x)^(9/2),x, algorithm=""maxima"")","-\frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{2 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} - \frac{3 \, \sqrt{-x^{2} + 1}}{7 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} - \frac{3 \, \sqrt{-x^{2} + 1}}{70 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{35 \, {\left(x^{2} - 2 \, x + 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{35 \, {\left(x - 1\right)}}"," ",0,"-1/2*(-x^2 + 1)^(3/2)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) - 3/7*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) - 3/70*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) + 1/35*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) - 1/35*sqrt(-x^2 + 1)/(x - 1)","B",0
1085,1,172,0,1.365411," ","integrate((1+x)^(3/2)/(1-x)^(11/2),x, algorithm=""maxima"")","\frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{3 \, {\left(x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1\right)}} + \frac{2 \, \sqrt{-x^{2} + 1}}{9 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{63 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{105 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} + \frac{2 \, \sqrt{-x^{2} + 1}}{315 \, {\left(x^{2} - 2 \, x + 1\right)}} - \frac{2 \, \sqrt{-x^{2} + 1}}{315 \, {\left(x - 1\right)}}"," ",0,"1/3*(-x^2 + 1)^(3/2)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1) + 2/9*sqrt(-x^2 + 1)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) + 1/63*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) - 1/105*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) + 2/315*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) - 2/315*sqrt(-x^2 + 1)/(x - 1)","B",0
1086,1,218,0,1.392086," ","integrate((1+x)^(3/2)/(1-x)^(13/2),x, algorithm=""maxima"")","-\frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{4 \, {\left(x^{7} - 7 \, x^{6} + 21 \, x^{5} - 35 \, x^{4} + 35 \, x^{3} - 21 \, x^{2} + 7 \, x - 1\right)}} - \frac{3 \, \sqrt{-x^{2} + 1}}{22 \, {\left(x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{132 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{231 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{385 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} + \frac{2 \, \sqrt{-x^{2} + 1}}{1155 \, {\left(x^{2} - 2 \, x + 1\right)}} - \frac{2 \, \sqrt{-x^{2} + 1}}{1155 \, {\left(x - 1\right)}}"," ",0,"-1/4*(-x^2 + 1)^(3/2)/(x^7 - 7*x^6 + 21*x^5 - 35*x^4 + 35*x^3 - 21*x^2 + 7*x - 1) - 3/22*sqrt(-x^2 + 1)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1) - 1/132*sqrt(-x^2 + 1)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) + 1/231*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) - 1/385*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) + 2/1155*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) - 2/1155*sqrt(-x^2 + 1)/(x - 1)","B",0
1087,1,269,0,1.379511," ","integrate((1+x)^(3/2)/(1-x)^(15/2),x, algorithm=""maxima"")","\frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{5 \, {\left(x^{8} - 8 \, x^{7} + 28 \, x^{6} - 56 \, x^{5} + 70 \, x^{4} - 56 \, x^{3} + 28 \, x^{2} - 8 \, x + 1\right)}} + \frac{6 \, \sqrt{-x^{2} + 1}}{65 \, {\left(x^{7} - 7 \, x^{6} + 21 \, x^{5} - 35 \, x^{4} + 35 \, x^{3} - 21 \, x^{2} + 7 \, x - 1\right)}} + \frac{3 \, \sqrt{-x^{2} + 1}}{715 \, {\left(x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{429 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} + \frac{4 \, \sqrt{-x^{2} + 1}}{3003 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} - \frac{4 \, \sqrt{-x^{2} + 1}}{5005 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} + \frac{8 \, \sqrt{-x^{2} + 1}}{15015 \, {\left(x^{2} - 2 \, x + 1\right)}} - \frac{8 \, \sqrt{-x^{2} + 1}}{15015 \, {\left(x - 1\right)}}"," ",0,"1/5*(-x^2 + 1)^(3/2)/(x^8 - 8*x^7 + 28*x^6 - 56*x^5 + 70*x^4 - 56*x^3 + 28*x^2 - 8*x + 1) + 6/65*sqrt(-x^2 + 1)/(x^7 - 7*x^6 + 21*x^5 - 35*x^4 + 35*x^3 - 21*x^2 + 7*x - 1) + 3/715*sqrt(-x^2 + 1)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1) - 1/429*sqrt(-x^2 + 1)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) + 4/3003*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) - 4/5005*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) + 8/15015*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) - 8/15015*sqrt(-x^2 + 1)/(x - 1)","B",0
1088,1,78,0,3.011848," ","integrate((1-x)^(11/2)*(1+x)^(5/2),x, algorithm=""maxima"")","\frac{1}{9} \, {\left(-x^{2} + 1\right)}^{\frac{7}{2}} x^{2} - \frac{3}{8} \, {\left(-x^{2} + 1\right)}^{\frac{7}{2}} x + \frac{29}{63} \, {\left(-x^{2} + 1\right)}^{\frac{7}{2}} + \frac{11}{48} \, {\left(-x^{2} + 1\right)}^{\frac{5}{2}} x + \frac{55}{192} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{55}{128} \, \sqrt{-x^{2} + 1} x + \frac{55}{128} \, \arcsin\left(x\right)"," ",0,"1/9*(-x^2 + 1)^(7/2)*x^2 - 3/8*(-x^2 + 1)^(7/2)*x + 29/63*(-x^2 + 1)^(7/2) + 11/48*(-x^2 + 1)^(5/2)*x + 55/192*(-x^2 + 1)^(3/2)*x + 55/128*sqrt(-x^2 + 1)*x + 55/128*arcsin(x)","A",0
1089,1,64,0,2.970000," ","integrate((1-x)^(9/2)*(1+x)^(5/2),x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(-x^{2} + 1\right)}^{\frac{7}{2}} x + \frac{2}{7} \, {\left(-x^{2} + 1\right)}^{\frac{7}{2}} + \frac{3}{16} \, {\left(-x^{2} + 1\right)}^{\frac{5}{2}} x + \frac{15}{64} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{45}{128} \, \sqrt{-x^{2} + 1} x + \frac{45}{128} \, \arcsin\left(x\right)"," ",0,"-1/8*(-x^2 + 1)^(7/2)*x + 2/7*(-x^2 + 1)^(7/2) + 3/16*(-x^2 + 1)^(5/2)*x + 15/64*(-x^2 + 1)^(3/2)*x + 45/128*sqrt(-x^2 + 1)*x + 45/128*arcsin(x)","A",0
1090,1,52,0,3.005525," ","integrate((1-x)^(7/2)*(1+x)^(5/2),x, algorithm=""maxima"")","\frac{1}{7} \, {\left(-x^{2} + 1\right)}^{\frac{7}{2}} + \frac{1}{6} \, {\left(-x^{2} + 1\right)}^{\frac{5}{2}} x + \frac{5}{24} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{5}{16} \, \sqrt{-x^{2} + 1} x + \frac{5}{16} \, \arcsin\left(x\right)"," ",0,"1/7*(-x^2 + 1)^(7/2) + 1/6*(-x^2 + 1)^(5/2)*x + 5/24*(-x^2 + 1)^(3/2)*x + 5/16*sqrt(-x^2 + 1)*x + 5/16*arcsin(x)","A",0
1091,1,41,0,3.102662," ","integrate((1-x)^(5/2)*(1+x)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(-x^{2} + 1\right)}^{\frac{5}{2}} x + \frac{5}{24} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{5}{16} \, \sqrt{-x^{2} + 1} x + \frac{5}{16} \, \arcsin\left(x\right)"," ",0,"1/6*(-x^2 + 1)^(5/2)*x + 5/24*(-x^2 + 1)^(3/2)*x + 5/16*sqrt(-x^2 + 1)*x + 5/16*arcsin(x)","A",0
1092,1,40,0,3.048580," ","integrate((1-x)^(3/2)*(1+x)^(5/2),x, algorithm=""maxima"")","-\frac{1}{5} \, {\left(-x^{2} + 1\right)}^{\frac{5}{2}} + \frac{1}{4} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + \frac{3}{8} \, \sqrt{-x^{2} + 1} x + \frac{3}{8} \, \arcsin\left(x\right)"," ",0,"-1/5*(-x^2 + 1)^(5/2) + 1/4*(-x^2 + 1)^(3/2)*x + 3/8*sqrt(-x^2 + 1)*x + 3/8*arcsin(x)","A",0
1093,1,40,0,3.059854," ","integrate((1-x)^(1/2)*(1+x)^(5/2),x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x - \frac{2}{3} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} + \frac{5}{8} \, \sqrt{-x^{2} + 1} x + \frac{5}{8} \, \arcsin\left(x\right)"," ",0,"-1/4*(-x^2 + 1)^(3/2)*x - 2/3*(-x^2 + 1)^(3/2) + 5/8*sqrt(-x^2 + 1)*x + 5/8*arcsin(x)","A",0
1094,1,42,0,2.933954," ","integrate((1+x)^(5/2)/(1-x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{-x^{2} + 1} x^{2} - \frac{3}{2} \, \sqrt{-x^{2} + 1} x - \frac{11}{3} \, \sqrt{-x^{2} + 1} + \frac{5}{2} \, \arcsin\left(x\right)"," ",0,"-1/3*sqrt(-x^2 + 1)*x^2 - 3/2*sqrt(-x^2 + 1)*x - 11/3*sqrt(-x^2 + 1) + 5/2*arcsin(x)","A",0
1095,1,56,0,2.971100," ","integrate((1+x)^(5/2)/(1-x)^(3/2),x, algorithm=""maxima"")","-\frac{x^{3}}{2 \, \sqrt{-x^{2} + 1}} - \frac{4 \, x^{2}}{\sqrt{-x^{2} + 1}} + \frac{17 \, x}{2 \, \sqrt{-x^{2} + 1}} + \frac{12}{\sqrt{-x^{2} + 1}} - \frac{15}{2} \, \arcsin\left(x\right)"," ",0,"-1/2*x^3/sqrt(-x^2 + 1) - 4*x^2/sqrt(-x^2 + 1) + 17/2*x/sqrt(-x^2 + 1) + 12/sqrt(-x^2 + 1) - 15/2*arcsin(x)","A",0
1096,1,99,0,2.971160," ","integrate((1+x)^(5/2)/(1-x)^(5/2),x, algorithm=""maxima"")","-\frac{{\left(-x^{2} + 1\right)}^{\frac{5}{2}}}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1} - \frac{5 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{3 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} + \frac{10 \, \sqrt{-x^{2} + 1}}{3 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{35 \, \sqrt{-x^{2} + 1}}{3 \, {\left(x - 1\right)}} + 5 \, \arcsin\left(x\right)"," ",0,"-(-x^2 + 1)^(5/2)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) - 5/3*(-x^2 + 1)^(3/2)/(x^3 - 3*x^2 + 3*x - 1) + 10/3*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 35/3*sqrt(-x^2 + 1)/(x - 1) + 5*arcsin(x)","B",0
1097,1,160,0,3.074755," ","integrate((1+x)^(5/2)/(1-x)^(7/2),x, algorithm=""maxima"")","-\frac{{\left(-x^{2} + 1\right)}^{\frac{5}{2}}}{5 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} + \frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1} + \frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{3 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} + \frac{6 \, \sqrt{-x^{2} + 1}}{5 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} - \frac{7 \, \sqrt{-x^{2} + 1}}{15 \, {\left(x^{2} - 2 \, x + 1\right)}} - \frac{38 \, \sqrt{-x^{2} + 1}}{15 \, {\left(x - 1\right)}} - \arcsin\left(x\right)"," ",0,"-1/5*(-x^2 + 1)^(5/2)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) + (-x^2 + 1)^(3/2)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) + 1/3*(-x^2 + 1)^(3/2)/(x^3 - 3*x^2 + 3*x - 1) + 6/5*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) - 7/15*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) - 38/15*sqrt(-x^2 + 1)/(x - 1) - arcsin(x)","B",0
1098,1,171,0,1.355435," ","integrate((1+x)^(5/2)/(1-x)^(9/2),x, algorithm=""maxima"")","\frac{{\left(-x^{2} + 1\right)}^{\frac{5}{2}}}{x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1} + \frac{5 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{2 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} + \frac{15 \, \sqrt{-x^{2} + 1}}{7 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} + \frac{3 \, \sqrt{-x^{2} + 1}}{14 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{7 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{7 \, {\left(x - 1\right)}}"," ",0,"(-x^2 + 1)^(5/2)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1) + 5/2*(-x^2 + 1)^(3/2)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) + 15/7*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) + 3/14*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) - 1/7*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 1/7*sqrt(-x^2 + 1)/(x - 1)","B",0
1099,1,218,0,1.403085," ","integrate((1+x)^(5/2)/(1-x)^(11/2),x, algorithm=""maxima"")","-\frac{{\left(-x^{2} + 1\right)}^{\frac{5}{2}}}{2 \, {\left(x^{7} - 7 \, x^{6} + 21 \, x^{5} - 35 \, x^{4} + 35 \, x^{3} - 21 \, x^{2} + 7 \, x - 1\right)}} - \frac{5 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{6 \, {\left(x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1\right)}} - \frac{5 \, \sqrt{-x^{2} + 1}}{9 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} - \frac{5 \, \sqrt{-x^{2} + 1}}{126 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{42 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{63 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{63 \, {\left(x - 1\right)}}"," ",0,"-1/2*(-x^2 + 1)^(5/2)/(x^7 - 7*x^6 + 21*x^5 - 35*x^4 + 35*x^3 - 21*x^2 + 7*x - 1) - 5/6*(-x^2 + 1)^(3/2)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1) - 5/9*sqrt(-x^2 + 1)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) - 5/126*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) + 1/42*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) - 1/63*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 1/63*sqrt(-x^2 + 1)/(x - 1)","B",0
1100,1,269,0,1.415223," ","integrate((1+x)^(5/2)/(1-x)^(13/2),x, algorithm=""maxima"")","\frac{{\left(-x^{2} + 1\right)}^{\frac{5}{2}}}{3 \, {\left(x^{8} - 8 \, x^{7} + 28 \, x^{6} - 56 \, x^{5} + 70 \, x^{4} - 56 \, x^{3} + 28 \, x^{2} - 8 \, x + 1\right)}} + \frac{5 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{12 \, {\left(x^{7} - 7 \, x^{6} + 21 \, x^{5} - 35 \, x^{4} + 35 \, x^{3} - 21 \, x^{2} + 7 \, x - 1\right)}} + \frac{5 \, \sqrt{-x^{2} + 1}}{22 \, {\left(x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1\right)}} + \frac{5 \, \sqrt{-x^{2} + 1}}{396 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} - \frac{5 \, \sqrt{-x^{2} + 1}}{693 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{231 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} - \frac{2 \, \sqrt{-x^{2} + 1}}{693 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{2 \, \sqrt{-x^{2} + 1}}{693 \, {\left(x - 1\right)}}"," ",0,"1/3*(-x^2 + 1)^(5/2)/(x^8 - 8*x^7 + 28*x^6 - 56*x^5 + 70*x^4 - 56*x^3 + 28*x^2 - 8*x + 1) + 5/12*(-x^2 + 1)^(3/2)/(x^7 - 7*x^6 + 21*x^5 - 35*x^4 + 35*x^3 - 21*x^2 + 7*x - 1) + 5/22*sqrt(-x^2 + 1)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1) + 5/396*sqrt(-x^2 + 1)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) - 5/693*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) + 1/231*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) - 2/693*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 2/693*sqrt(-x^2 + 1)/(x - 1)","B",0
1101,1,325,0,1.456166," ","integrate((1+x)^(5/2)/(1-x)^(15/2),x, algorithm=""maxima"")","-\frac{{\left(-x^{2} + 1\right)}^{\frac{5}{2}}}{4 \, {\left(x^{9} - 9 \, x^{8} + 36 \, x^{7} - 84 \, x^{6} + 126 \, x^{5} - 126 \, x^{4} + 84 \, x^{3} - 36 \, x^{2} + 9 \, x - 1\right)}} - \frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{4 \, {\left(x^{8} - 8 \, x^{7} + 28 \, x^{6} - 56 \, x^{5} + 70 \, x^{4} - 56 \, x^{3} + 28 \, x^{2} - 8 \, x + 1\right)}} - \frac{3 \, \sqrt{-x^{2} + 1}}{26 \, {\left(x^{7} - 7 \, x^{6} + 21 \, x^{5} - 35 \, x^{4} + 35 \, x^{3} - 21 \, x^{2} + 7 \, x - 1\right)}} - \frac{3 \, \sqrt{-x^{2} + 1}}{572 \, {\left(x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1\right)}} + \frac{5 \, \sqrt{-x^{2} + 1}}{1716 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} - \frac{5 \, \sqrt{-x^{2} + 1}}{3003 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{1001 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} - \frac{2 \, \sqrt{-x^{2} + 1}}{3003 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{2 \, \sqrt{-x^{2} + 1}}{3003 \, {\left(x - 1\right)}}"," ",0,"-1/4*(-x^2 + 1)^(5/2)/(x^9 - 9*x^8 + 36*x^7 - 84*x^6 + 126*x^5 - 126*x^4 + 84*x^3 - 36*x^2 + 9*x - 1) - 1/4*(-x^2 + 1)^(3/2)/(x^8 - 8*x^7 + 28*x^6 - 56*x^5 + 70*x^4 - 56*x^3 + 28*x^2 - 8*x + 1) - 3/26*sqrt(-x^2 + 1)/(x^7 - 7*x^6 + 21*x^5 - 35*x^4 + 35*x^3 - 21*x^2 + 7*x - 1) - 3/572*sqrt(-x^2 + 1)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1) + 5/1716*sqrt(-x^2 + 1)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) - 5/3003*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) + 1/1001*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) - 2/3003*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 2/3003*sqrt(-x^2 + 1)/(x - 1)","B",0
1102,1,386,0,1.393414," ","integrate((1+x)^(5/2)/(1-x)^(17/2),x, algorithm=""maxima"")","\frac{{\left(-x^{2} + 1\right)}^{\frac{5}{2}}}{5 \, {\left(x^{10} - 10 \, x^{9} + 45 \, x^{8} - 120 \, x^{7} + 210 \, x^{6} - 252 \, x^{5} + 210 \, x^{4} - 120 \, x^{3} + 45 \, x^{2} - 10 \, x + 1\right)}} + \frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{6 \, {\left(x^{9} - 9 \, x^{8} + 36 \, x^{7} - 84 \, x^{6} + 126 \, x^{5} - 126 \, x^{4} + 84 \, x^{3} - 36 \, x^{2} + 9 \, x - 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{15 \, {\left(x^{8} - 8 \, x^{7} + 28 \, x^{6} - 56 \, x^{5} + 70 \, x^{4} - 56 \, x^{3} + 28 \, x^{2} - 8 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{390 \, {\left(x^{7} - 7 \, x^{6} + 21 \, x^{5} - 35 \, x^{4} + 35 \, x^{3} - 21 \, x^{2} + 7 \, x - 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{715 \, {\left(x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{1287 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} - \frac{4 \, \sqrt{-x^{2} + 1}}{9009 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} + \frac{4 \, \sqrt{-x^{2} + 1}}{15015 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} - \frac{8 \, \sqrt{-x^{2} + 1}}{45045 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{8 \, \sqrt{-x^{2} + 1}}{45045 \, {\left(x - 1\right)}}"," ",0,"1/5*(-x^2 + 1)^(5/2)/(x^10 - 10*x^9 + 45*x^8 - 120*x^7 + 210*x^6 - 252*x^5 + 210*x^4 - 120*x^3 + 45*x^2 - 10*x + 1) + 1/6*(-x^2 + 1)^(3/2)/(x^9 - 9*x^8 + 36*x^7 - 84*x^6 + 126*x^5 - 126*x^4 + 84*x^3 - 36*x^2 + 9*x - 1) + 1/15*sqrt(-x^2 + 1)/(x^8 - 8*x^7 + 28*x^6 - 56*x^5 + 70*x^4 - 56*x^3 + 28*x^2 - 8*x + 1) + 1/390*sqrt(-x^2 + 1)/(x^7 - 7*x^6 + 21*x^5 - 35*x^4 + 35*x^3 - 21*x^2 + 7*x - 1) - 1/715*sqrt(-x^2 + 1)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1) + 1/1287*sqrt(-x^2 + 1)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) - 4/9009*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) + 4/15015*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) - 8/45045*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 8/45045*sqrt(-x^2 + 1)/(x - 1)","B",0
1103,1,452,0,1.384008," ","integrate((1+x)^(5/2)/(1-x)^(19/2),x, algorithm=""maxima"")","-\frac{{\left(-x^{2} + 1\right)}^{\frac{5}{2}}}{6 \, {\left(x^{11} - 11 \, x^{10} + 55 \, x^{9} - 165 \, x^{8} + 330 \, x^{7} - 462 \, x^{6} + 462 \, x^{5} - 330 \, x^{4} + 165 \, x^{3} - 55 \, x^{2} + 11 \, x - 1\right)}} - \frac{5 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{42 \, {\left(x^{10} - 10 \, x^{9} + 45 \, x^{8} - 120 \, x^{7} + 210 \, x^{6} - 252 \, x^{5} + 210 \, x^{4} - 120 \, x^{3} + 45 \, x^{2} - 10 \, x + 1\right)}} - \frac{5 \, \sqrt{-x^{2} + 1}}{119 \, {\left(x^{9} - 9 \, x^{8} + 36 \, x^{7} - 84 \, x^{6} + 126 \, x^{5} - 126 \, x^{4} + 84 \, x^{3} - 36 \, x^{2} + 9 \, x - 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{714 \, {\left(x^{8} - 8 \, x^{7} + 28 \, x^{6} - 56 \, x^{5} + 70 \, x^{4} - 56 \, x^{3} + 28 \, x^{2} - 8 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{1326 \, {\left(x^{7} - 7 \, x^{6} + 21 \, x^{5} - 35 \, x^{4} + 35 \, x^{3} - 21 \, x^{2} + 7 \, x - 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{2431 \, {\left(x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1\right)}} + \frac{5 \, \sqrt{-x^{2} + 1}}{21879 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} - \frac{20 \, \sqrt{-x^{2} + 1}}{153153 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} + \frac{4 \, \sqrt{-x^{2} + 1}}{51051 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} - \frac{8 \, \sqrt{-x^{2} + 1}}{153153 \, {\left(x^{2} - 2 \, x + 1\right)}} + \frac{8 \, \sqrt{-x^{2} + 1}}{153153 \, {\left(x - 1\right)}}"," ",0,"-1/6*(-x^2 + 1)^(5/2)/(x^11 - 11*x^10 + 55*x^9 - 165*x^8 + 330*x^7 - 462*x^6 + 462*x^5 - 330*x^4 + 165*x^3 - 55*x^2 + 11*x - 1) - 5/42*(-x^2 + 1)^(3/2)/(x^10 - 10*x^9 + 45*x^8 - 120*x^7 + 210*x^6 - 252*x^5 + 210*x^4 - 120*x^3 + 45*x^2 - 10*x + 1) - 5/119*sqrt(-x^2 + 1)/(x^9 - 9*x^8 + 36*x^7 - 84*x^6 + 126*x^5 - 126*x^4 + 84*x^3 - 36*x^2 + 9*x - 1) - 1/714*sqrt(-x^2 + 1)/(x^8 - 8*x^7 + 28*x^6 - 56*x^5 + 70*x^4 - 56*x^3 + 28*x^2 - 8*x + 1) + 1/1326*sqrt(-x^2 + 1)/(x^7 - 7*x^6 + 21*x^5 - 35*x^4 + 35*x^3 - 21*x^2 + 7*x - 1) - 1/2431*sqrt(-x^2 + 1)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1) + 5/21879*sqrt(-x^2 + 1)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) - 20/153153*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) + 4/51051*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) - 8/153153*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) + 8/153153*sqrt(-x^2 + 1)/(x - 1)","B",0
1104,1,42,0,2.989453," ","integrate((a*x+1)^(3/2)/(-a*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{-a^{2} x^{2} + 1} x + \frac{3 \, \arcsin\left(a x\right)}{2 \, a} - \frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{a}"," ",0,"-1/2*sqrt(-a^2*x^2 + 1)*x + 3/2*arcsin(a*x)/a - 2*sqrt(-a^2*x^2 + 1)/a","A",0
1105,1,42,0,3.030072," ","integrate((a*x+1)*(-a^2*x^2+1)^(1/2)/(-a*x+1),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{-a^{2} x^{2} + 1} x + \frac{3 \, \arcsin\left(a x\right)}{2 \, a} - \frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{a}"," ",0,"-1/2*sqrt(-a^2*x^2 + 1)*x + 3/2*arcsin(a*x)/a - 2*sqrt(-a^2*x^2 + 1)/a","A",0
1106,1,56,0,2.993086," ","integrate((1-x)^(7/2)/(1+x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{-x^{2} + 1} x^{3} + \frac{4}{3} \, \sqrt{-x^{2} + 1} x^{2} - \frac{27}{8} \, \sqrt{-x^{2} + 1} x + \frac{20}{3} \, \sqrt{-x^{2} + 1} + \frac{35}{8} \, \arcsin\left(x\right)"," ",0,"-1/4*sqrt(-x^2 + 1)*x^3 + 4/3*sqrt(-x^2 + 1)*x^2 - 27/8*sqrt(-x^2 + 1)*x + 20/3*sqrt(-x^2 + 1) + 35/8*arcsin(x)","A",0
1107,1,42,0,2.901167," ","integrate((1-x)^(5/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{-x^{2} + 1} x^{2} - \frac{3}{2} \, \sqrt{-x^{2} + 1} x + \frac{11}{3} \, \sqrt{-x^{2} + 1} + \frac{5}{2} \, \arcsin\left(x\right)"," ",0,"1/3*sqrt(-x^2 + 1)*x^2 - 3/2*sqrt(-x^2 + 1)*x + 11/3*sqrt(-x^2 + 1) + 5/2*arcsin(x)","A",0
1108,1,28,0,3.022509," ","integrate((1-x)^(3/2)/(1+x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{-x^{2} + 1} x + 2 \, \sqrt{-x^{2} + 1} + \frac{3}{2} \, \arcsin\left(x\right)"," ",0,"-1/2*sqrt(-x^2 + 1)*x + 2*sqrt(-x^2 + 1) + 3/2*arcsin(x)","A",0
1109,1,12,0,3.100783," ","integrate((1-x)^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\sqrt{-x^{2} + 1} + \arcsin\left(x\right)"," ",0,"sqrt(-x^2 + 1) + arcsin(x)","A",0
1110,1,2,0,2.946075," ","integrate(1/(1-x)^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\arcsin\left(x\right)"," ",0,"arcsin(x)","A",0
1111,1,16,0,2.982650," ","integrate(1/(1-x)^(3/2)/(1+x)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{2} + 1}}{x - 1}"," ",0,"-sqrt(-x^2 + 1)/(x - 1)","A",0
1112,1,38,0,3.119586," ","integrate(1/(1-x)^(5/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-x^{2} + 1}}{3 \, {\left(x^{2} - 2 \, x + 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{3 \, {\left(x - 1\right)}}"," ",0,"1/3*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) - 1/3*sqrt(-x^2 + 1)/(x - 1)","A",0
1113,1,64,0,3.025883," ","integrate(1/(1-x)^(7/2)/(1+x)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{2} + 1}}{5 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} + \frac{2 \, \sqrt{-x^{2} + 1}}{15 \, {\left(x^{2} - 2 \, x + 1\right)}} - \frac{2 \, \sqrt{-x^{2} + 1}}{15 \, {\left(x - 1\right)}}"," ",0,"-1/5*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) + 2/15*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) - 2/15*sqrt(-x^2 + 1)/(x - 1)","A",0
1114,1,95,0,3.029387," ","integrate(1/(1-x)^(9/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-x^{2} + 1}}{7 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} - \frac{3 \, \sqrt{-x^{2} + 1}}{35 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} + \frac{2 \, \sqrt{-x^{2} + 1}}{35 \, {\left(x^{2} - 2 \, x + 1\right)}} - \frac{2 \, \sqrt{-x^{2} + 1}}{35 \, {\left(x - 1\right)}}"," ",0,"1/7*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) - 3/35*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) + 2/35*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) - 2/35*sqrt(-x^2 + 1)/(x - 1)","A",0
1115,1,131,0,3.084605," ","integrate(1/(1-x)^(11/2)/(1+x)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{2} + 1}}{9 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}} + \frac{4 \, \sqrt{-x^{2} + 1}}{63 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}} - \frac{4 \, \sqrt{-x^{2} + 1}}{105 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} + \frac{8 \, \sqrt{-x^{2} + 1}}{315 \, {\left(x^{2} - 2 \, x + 1\right)}} - \frac{8 \, \sqrt{-x^{2} + 1}}{315 \, {\left(x - 1\right)}}"," ",0,"-1/9*sqrt(-x^2 + 1)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1) + 4/63*sqrt(-x^2 + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1) - 4/105*sqrt(-x^2 + 1)/(x^3 - 3*x^2 + 3*x - 1) + 8/315*sqrt(-x^2 + 1)/(x^2 - 2*x + 1) - 8/315*sqrt(-x^2 + 1)/(x - 1)","A",0
1116,1,70,0,2.839448," ","integrate((1-x)^(7/2)/(1+x)^(3/2),x, algorithm=""maxima"")","\frac{x^{4}}{3 \, \sqrt{-x^{2} + 1}} - \frac{5 \, x^{3}}{2 \, \sqrt{-x^{2} + 1}} + \frac{34 \, x^{2}}{3 \, \sqrt{-x^{2} + 1}} + \frac{37 \, x}{2 \, \sqrt{-x^{2} + 1}} - \frac{83}{3 \, \sqrt{-x^{2} + 1}} - \frac{35}{2} \, \arcsin\left(x\right)"," ",0,"1/3*x^4/sqrt(-x^2 + 1) - 5/2*x^3/sqrt(-x^2 + 1) + 34/3*x^2/sqrt(-x^2 + 1) + 37/2*x/sqrt(-x^2 + 1) - 83/3/sqrt(-x^2 + 1) - 35/2*arcsin(x)","A",0
1117,1,56,0,2.986664," ","integrate((1-x)^(5/2)/(1+x)^(3/2),x, algorithm=""maxima"")","-\frac{x^{3}}{2 \, \sqrt{-x^{2} + 1}} + \frac{4 \, x^{2}}{\sqrt{-x^{2} + 1}} + \frac{17 \, x}{2 \, \sqrt{-x^{2} + 1}} - \frac{12}{\sqrt{-x^{2} + 1}} - \frac{15}{2} \, \arcsin\left(x\right)"," ",0,"-1/2*x^3/sqrt(-x^2 + 1) + 4*x^2/sqrt(-x^2 + 1) + 17/2*x/sqrt(-x^2 + 1) - 12/sqrt(-x^2 + 1) - 15/2*arcsin(x)","A",0
1118,1,41,0,2.862149," ","integrate((1-x)^(3/2)/(1+x)^(3/2),x, algorithm=""maxima"")","\frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{x^{2} + 2 \, x + 1} - \frac{6 \, \sqrt{-x^{2} + 1}}{x + 1} - 3 \, \arcsin\left(x\right)"," ",0,"(-x^2 + 1)^(3/2)/(x^2 + 2*x + 1) - 6*sqrt(-x^2 + 1)/(x + 1) - 3*arcsin(x)","A",0
1119,1,21,0,2.862780," ","integrate((1-x)^(1/2)/(1+x)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-x^{2} + 1}}{x + 1} - \arcsin\left(x\right)"," ",0,"-2*sqrt(-x^2 + 1)/(x + 1) - arcsin(x)","A",0
1120,1,16,0,2.939719," ","integrate(1/(1-x)^(1/2)/(1+x)^(3/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{2} + 1}}{x + 1}"," ",0,"-sqrt(-x^2 + 1)/(x + 1)","A",0
1121,1,11,0,1.338193," ","integrate(1/(1-x)^(3/2)/(1+x)^(3/2),x, algorithm=""maxima"")","\frac{x}{\sqrt{-x^{2} + 1}}"," ",0,"x/sqrt(-x^2 + 1)","A",0
1122,1,40,0,1.416401," ","integrate(1/(1-x)^(5/2)/(1+x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, x}{3 \, \sqrt{-x^{2} + 1}} - \frac{1}{3 \, {\left(\sqrt{-x^{2} + 1} x - \sqrt{-x^{2} + 1}\right)}}"," ",0,"2/3*x/sqrt(-x^2 + 1) - 1/3/(sqrt(-x^2 + 1)*x - sqrt(-x^2 + 1))","A",0
1123,1,79,0,1.345737," ","integrate(1/(1-x)^(7/2)/(1+x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, x}{5 \, \sqrt{-x^{2} + 1}} + \frac{1}{5 \, {\left(\sqrt{-x^{2} + 1} x^{2} - 2 \, \sqrt{-x^{2} + 1} x + \sqrt{-x^{2} + 1}\right)}} - \frac{1}{5 \, {\left(\sqrt{-x^{2} + 1} x - \sqrt{-x^{2} + 1}\right)}}"," ",0,"2/5*x/sqrt(-x^2 + 1) + 1/5/(sqrt(-x^2 + 1)*x^2 - 2*sqrt(-x^2 + 1)*x + sqrt(-x^2 + 1)) - 1/5/(sqrt(-x^2 + 1)*x - sqrt(-x^2 + 1))","A",0
1124,1,134,0,1.375188," ","integrate(1/(1-x)^(9/2)/(1+x)^(3/2),x, algorithm=""maxima"")","\frac{8 \, x}{35 \, \sqrt{-x^{2} + 1}} - \frac{1}{7 \, {\left(\sqrt{-x^{2} + 1} x^{3} - 3 \, \sqrt{-x^{2} + 1} x^{2} + 3 \, \sqrt{-x^{2} + 1} x - \sqrt{-x^{2} + 1}\right)}} + \frac{4}{35 \, {\left(\sqrt{-x^{2} + 1} x^{2} - 2 \, \sqrt{-x^{2} + 1} x + \sqrt{-x^{2} + 1}\right)}} - \frac{4}{35 \, {\left(\sqrt{-x^{2} + 1} x - \sqrt{-x^{2} + 1}\right)}}"," ",0,"8/35*x/sqrt(-x^2 + 1) - 1/7/(sqrt(-x^2 + 1)*x^3 - 3*sqrt(-x^2 + 1)*x^2 + 3*sqrt(-x^2 + 1)*x - sqrt(-x^2 + 1)) + 4/35/(sqrt(-x^2 + 1)*x^2 - 2*sqrt(-x^2 + 1)*x + sqrt(-x^2 + 1)) - 4/35/(sqrt(-x^2 + 1)*x - sqrt(-x^2 + 1))","B",0
1125,1,201,0,1.367279," ","integrate(1/(1-x)^(11/2)/(1+x)^(3/2),x, algorithm=""maxima"")","\frac{8 \, x}{63 \, \sqrt{-x^{2} + 1}} + \frac{1}{9 \, {\left(\sqrt{-x^{2} + 1} x^{4} - 4 \, \sqrt{-x^{2} + 1} x^{3} + 6 \, \sqrt{-x^{2} + 1} x^{2} - 4 \, \sqrt{-x^{2} + 1} x + \sqrt{-x^{2} + 1}\right)}} - \frac{5}{63 \, {\left(\sqrt{-x^{2} + 1} x^{3} - 3 \, \sqrt{-x^{2} + 1} x^{2} + 3 \, \sqrt{-x^{2} + 1} x - \sqrt{-x^{2} + 1}\right)}} + \frac{4}{63 \, {\left(\sqrt{-x^{2} + 1} x^{2} - 2 \, \sqrt{-x^{2} + 1} x + \sqrt{-x^{2} + 1}\right)}} - \frac{4}{63 \, {\left(\sqrt{-x^{2} + 1} x - \sqrt{-x^{2} + 1}\right)}}"," ",0,"8/63*x/sqrt(-x^2 + 1) + 1/9/(sqrt(-x^2 + 1)*x^4 - 4*sqrt(-x^2 + 1)*x^3 + 6*sqrt(-x^2 + 1)*x^2 - 4*sqrt(-x^2 + 1)*x + sqrt(-x^2 + 1)) - 5/63/(sqrt(-x^2 + 1)*x^3 - 3*sqrt(-x^2 + 1)*x^2 + 3*sqrt(-x^2 + 1)*x - sqrt(-x^2 + 1)) + 4/63/(sqrt(-x^2 + 1)*x^2 - 2*sqrt(-x^2 + 1)*x + sqrt(-x^2 + 1)) - 4/63/(sqrt(-x^2 + 1)*x - sqrt(-x^2 + 1))","B",0
1126,1,125,0,3.009114," ","integrate((1-x)^(9/2)/(1+x)^(5/2),x, algorithm=""maxima"")","\frac{x^{6}}{3 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}} - \frac{7 \, x^{5}}{2 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}} + \frac{23 \, x^{4}}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}} + \frac{35}{2} \, x {\left(\frac{3 \, x^{2}}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}} - \frac{2}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}\right)} - \frac{143 \, x}{6 \, \sqrt{-x^{2} + 1}} - \frac{127 \, x^{2}}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}} + \frac{22 \, x}{3 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}} + \frac{247}{3 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}} + \frac{105}{2} \, \arcsin\left(x\right)"," ",0,"1/3*x^6/(-x^2 + 1)^(3/2) - 7/2*x^5/(-x^2 + 1)^(3/2) + 23*x^4/(-x^2 + 1)^(3/2) + 35/2*x*(3*x^2/(-x^2 + 1)^(3/2) - 2/(-x^2 + 1)^(3/2)) - 143/6*x/sqrt(-x^2 + 1) - 127*x^2/(-x^2 + 1)^(3/2) + 22/3*x/(-x^2 + 1)^(3/2) + 247/3/(-x^2 + 1)^(3/2) + 105/2*arcsin(x)","A",0
1127,1,111,0,2.999847," ","integrate((1-x)^(7/2)/(1+x)^(5/2),x, algorithm=""maxima"")","-\frac{x^{5}}{2 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}} + \frac{6 \, x^{4}}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}} + \frac{35}{6} \, x {\left(\frac{3 \, x^{2}}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}} - \frac{2}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}\right)} - \frac{61 \, x}{6 \, \sqrt{-x^{2} + 1}} - \frac{44 \, x^{2}}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}} + \frac{16 \, x}{3 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}} + \frac{82}{3 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}} + \frac{35}{2} \, \arcsin\left(x\right)"," ",0,"-1/2*x^5/(-x^2 + 1)^(3/2) + 6*x^4/(-x^2 + 1)^(3/2) + 35/6*x*(3*x^2/(-x^2 + 1)^(3/2) - 2/(-x^2 + 1)^(3/2)) - 61/6*x/sqrt(-x^2 + 1) - 44*x^2/(-x^2 + 1)^(3/2) + 16/3*x/(-x^2 + 1)^(3/2) + 82/3/(-x^2 + 1)^(3/2) + 35/2*arcsin(x)","A",0
1128,1,98,0,2.965218," ","integrate((1-x)^(5/2)/(1+x)^(5/2),x, algorithm=""maxima"")","\frac{{\left(-x^{2} + 1\right)}^{\frac{5}{2}}}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1} - \frac{5 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{3 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}} - \frac{10 \, \sqrt{-x^{2} + 1}}{3 \, {\left(x^{2} + 2 \, x + 1\right)}} + \frac{35 \, \sqrt{-x^{2} + 1}}{3 \, {\left(x + 1\right)}} + 5 \, \arcsin\left(x\right)"," ",0,"(-x^2 + 1)^(5/2)/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1) - 5/3*(-x^2 + 1)^(3/2)/(x^3 + 3*x^2 + 3*x + 1) - 10/3*sqrt(-x^2 + 1)/(x^2 + 2*x + 1) + 35/3*sqrt(-x^2 + 1)/(x + 1) + 5*arcsin(x)","B",0
1129,1,66,0,3.011347," ","integrate((1-x)^(3/2)/(1+x)^(5/2),x, algorithm=""maxima"")","-\frac{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}{3 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}} - \frac{2 \, \sqrt{-x^{2} + 1}}{3 \, {\left(x^{2} + 2 \, x + 1\right)}} + \frac{7 \, \sqrt{-x^{2} + 1}}{3 \, {\left(x + 1\right)}} + \arcsin\left(x\right)"," ",0,"-1/3*(-x^2 + 1)^(3/2)/(x^3 + 3*x^2 + 3*x + 1) - 2/3*sqrt(-x^2 + 1)/(x^2 + 2*x + 1) + 7/3*sqrt(-x^2 + 1)/(x + 1) + arcsin(x)","B",0
1130,1,38,0,1.324233," ","integrate((1-x)^(1/2)/(1+x)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-x^{2} + 1}}{3 \, {\left(x^{2} + 2 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{3 \, {\left(x + 1\right)}}"," ",0,"-2/3*sqrt(-x^2 + 1)/(x^2 + 2*x + 1) + 1/3*sqrt(-x^2 + 1)/(x + 1)","B",0
1131,1,38,0,2.934407," ","integrate(1/(1-x)^(1/2)/(1+x)^(5/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{2} + 1}}{3 \, {\left(x^{2} + 2 \, x + 1\right)}} - \frac{\sqrt{-x^{2} + 1}}{3 \, {\left(x + 1\right)}}"," ",0,"-1/3*sqrt(-x^2 + 1)/(x^2 + 2*x + 1) - 1/3*sqrt(-x^2 + 1)/(x + 1)","A",0
1132,1,38,0,1.351248," ","integrate(1/(1-x)^(3/2)/(1+x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, x}{3 \, \sqrt{-x^{2} + 1}} - \frac{1}{3 \, {\left(\sqrt{-x^{2} + 1} x + \sqrt{-x^{2} + 1}\right)}}"," ",0,"2/3*x/sqrt(-x^2 + 1) - 1/3/(sqrt(-x^2 + 1)*x + sqrt(-x^2 + 1))","A",0
1133,1,25,0,1.391337," ","integrate(1/(1-x)^(5/2)/(1+x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, x}{3 \, \sqrt{-x^{2} + 1}} + \frac{x}{3 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}}"," ",0,"2/3*x/sqrt(-x^2 + 1) + 1/3*x/(-x^2 + 1)^(3/2)","A",0
1134,1,52,0,1.393873," ","integrate(1/(1-x)^(7/2)/(1+x)^(5/2),x, algorithm=""maxima"")","\frac{8 \, x}{15 \, \sqrt{-x^{2} + 1}} + \frac{4 \, x}{15 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}} - \frac{1}{5 \, {\left({\left(-x^{2} + 1\right)}^{\frac{3}{2}} x - {\left(-x^{2} + 1\right)}^{\frac{3}{2}}\right)}}"," ",0,"8/15*x/sqrt(-x^2 + 1) + 4/15*x/(-x^2 + 1)^(3/2) - 1/5/((-x^2 + 1)^(3/2)*x - (-x^2 + 1)^(3/2))","A",0
1135,1,91,0,1.344474," ","integrate(1/(1-x)^(9/2)/(1+x)^(5/2),x, algorithm=""maxima"")","\frac{8 \, x}{21 \, \sqrt{-x^{2} + 1}} + \frac{4 \, x}{21 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}} + \frac{1}{7 \, {\left({\left(-x^{2} + 1\right)}^{\frac{3}{2}} x^{2} - 2 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + {\left(-x^{2} + 1\right)}^{\frac{3}{2}}\right)}} - \frac{1}{7 \, {\left({\left(-x^{2} + 1\right)}^{\frac{3}{2}} x - {\left(-x^{2} + 1\right)}^{\frac{3}{2}}\right)}}"," ",0,"8/21*x/sqrt(-x^2 + 1) + 4/21*x/(-x^2 + 1)^(3/2) + 1/7/((-x^2 + 1)^(3/2)*x^2 - 2*(-x^2 + 1)^(3/2)*x + (-x^2 + 1)^(3/2)) - 1/7/((-x^2 + 1)^(3/2)*x - (-x^2 + 1)^(3/2))","A",0
1136,1,146,0,1.420764," ","integrate(1/(1-x)^(11/2)/(1+x)^(5/2),x, algorithm=""maxima"")","\frac{16 \, x}{63 \, \sqrt{-x^{2} + 1}} + \frac{8 \, x}{63 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}}} - \frac{1}{9 \, {\left({\left(-x^{2} + 1\right)}^{\frac{3}{2}} x^{3} - 3 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x^{2} + 3 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x - {\left(-x^{2} + 1\right)}^{\frac{3}{2}}\right)}} + \frac{2}{21 \, {\left({\left(-x^{2} + 1\right)}^{\frac{3}{2}} x^{2} - 2 \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} x + {\left(-x^{2} + 1\right)}^{\frac{3}{2}}\right)}} - \frac{2}{21 \, {\left({\left(-x^{2} + 1\right)}^{\frac{3}{2}} x - {\left(-x^{2} + 1\right)}^{\frac{3}{2}}\right)}}"," ",0,"16/63*x/sqrt(-x^2 + 1) + 8/63*x/(-x^2 + 1)^(3/2) - 1/9/((-x^2 + 1)^(3/2)*x^3 - 3*(-x^2 + 1)^(3/2)*x^2 + 3*(-x^2 + 1)^(3/2)*x - (-x^2 + 1)^(3/2)) + 2/21/((-x^2 + 1)^(3/2)*x^2 - 2*(-x^2 + 1)^(3/2)*x + (-x^2 + 1)^(3/2)) - 2/21/((-x^2 + 1)^(3/2)*x - (-x^2 + 1)^(3/2))","A",0
1137,1,72,0,3.024516," ","integrate((a*x+a)^(5/2)*(-c*x+c)^(5/2),x, algorithm=""maxima"")","\frac{5 \, a^{3} c^{3} \arcsin\left(x\right)}{16 \, \sqrt{a c}} + \frac{5}{16} \, \sqrt{-a c x^{2} + a c} a^{2} c^{2} x + \frac{5}{24} \, {\left(-a c x^{2} + a c\right)}^{\frac{3}{2}} a c x + \frac{1}{6} \, {\left(-a c x^{2} + a c\right)}^{\frac{5}{2}} x"," ",0,"5/16*a^3*c^3*arcsin(x)/sqrt(a*c) + 5/16*sqrt(-a*c*x^2 + a*c)*a^2*c^2*x + 5/24*(-a*c*x^2 + a*c)^(3/2)*a*c*x + 1/6*(-a*c*x^2 + a*c)^(5/2)*x","A",0
1138,1,50,0,3.092165," ","integrate((a*x+a)^(3/2)*(-c*x+c)^(3/2),x, algorithm=""maxima"")","\frac{3 \, a^{2} c^{2} \arcsin\left(x\right)}{8 \, \sqrt{a c}} + \frac{3}{8} \, \sqrt{-a c x^{2} + a c} a c x + \frac{1}{4} \, {\left(-a c x^{2} + a c\right)}^{\frac{3}{2}} x"," ",0,"3/8*a^2*c^2*arcsin(x)/sqrt(a*c) + 3/8*sqrt(-a*c*x^2 + a*c)*a*c*x + 1/4*(-a*c*x^2 + a*c)^(3/2)*x","A",0
1139,1,28,0,3.082920," ","integrate((a*x+a)^(1/2)*(-c*x+c)^(1/2),x, algorithm=""maxima"")","\frac{a c \arcsin\left(x\right)}{2 \, \sqrt{a c}} + \frac{1}{2} \, \sqrt{-a c x^{2} + a c} x"," ",0,"1/2*a*c*arcsin(x)/sqrt(a*c) + 1/2*sqrt(-a*c*x^2 + a*c)*x","A",0
1140,1,8,0,2.991089," ","integrate(1/(a*x+a)^(1/2)/(-c*x+c)^(1/2),x, algorithm=""maxima"")","\frac{\arcsin\left(x\right)}{\sqrt{a c}}"," ",0,"arcsin(x)/sqrt(a*c)","A",0
1141,1,21,0,1.314741," ","integrate(1/(a*x+a)^(3/2)/(-c*x+c)^(3/2),x, algorithm=""maxima"")","\frac{x}{\sqrt{-a c x^{2} + a c} a c}"," ",0,"x/(sqrt(-a*c*x^2 + a*c)*a*c)","A",0
1142,1,45,0,1.346942," ","integrate(1/(a*x+a)^(5/2)/(-c*x+c)^(5/2),x, algorithm=""maxima"")","\frac{x}{3 \, {\left(-a c x^{2} + a c\right)}^{\frac{3}{2}} a c} + \frac{2 \, x}{3 \, \sqrt{-a c x^{2} + a c} a^{2} c^{2}}"," ",0,"1/3*x/((-a*c*x^2 + a*c)^(3/2)*a*c) + 2/3*x/(sqrt(-a*c*x^2 + a*c)*a^2*c^2)","A",0
1143,1,67,0,1.357811," ","integrate(1/(a*x+a)^(7/2)/(-c*x+c)^(7/2),x, algorithm=""maxima"")","\frac{x}{5 \, {\left(-a c x^{2} + a c\right)}^{\frac{5}{2}} a c} + \frac{4 \, x}{15 \, {\left(-a c x^{2} + a c\right)}^{\frac{3}{2}} a^{2} c^{2}} + \frac{8 \, x}{15 \, \sqrt{-a c x^{2} + a c} a^{3} c^{3}}"," ",0,"1/5*x/((-a*c*x^2 + a*c)^(5/2)*a*c) + 4/15*x/((-a*c*x^2 + a*c)^(3/2)*a^2*c^2) + 8/15*x/(sqrt(-a*c*x^2 + a*c)*a^3*c^3)","A",0
1144,1,89,0,1.400710," ","integrate(1/(a*x+a)^(9/2)/(-c*x+c)^(9/2),x, algorithm=""maxima"")","\frac{x}{7 \, {\left(-a c x^{2} + a c\right)}^{\frac{7}{2}} a c} + \frac{6 \, x}{35 \, {\left(-a c x^{2} + a c\right)}^{\frac{5}{2}} a^{2} c^{2}} + \frac{8 \, x}{35 \, {\left(-a c x^{2} + a c\right)}^{\frac{3}{2}} a^{3} c^{3}} + \frac{16 \, x}{35 \, \sqrt{-a c x^{2} + a c} a^{4} c^{4}}"," ",0,"1/7*x/((-a*c*x^2 + a*c)^(7/2)*a*c) + 6/35*x/((-a*c*x^2 + a*c)^(5/2)*a^2*c^2) + 8/35*x/((-a*c*x^2 + a*c)^(3/2)*a^3*c^3) + 16/35*x/(sqrt(-a*c*x^2 + a*c)*a^4*c^4)","A",0
1145,1,89,0,3.120553," ","integrate((b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2),x, algorithm=""maxima"")","\frac{5 \, a^{6} c^{\frac{5}{2}} \arcsin\left(\frac{b x}{a}\right)}{16 \, b} + \frac{5}{16} \, \sqrt{-b^{2} c x^{2} + a^{2} c} a^{4} c^{2} x + \frac{5}{24} \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} a^{2} c x + \frac{1}{6} \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{5}{2}} x"," ",0,"5/16*a^6*c^(5/2)*arcsin(b*x/a)/b + 5/16*sqrt(-b^2*c*x^2 + a^2*c)*a^4*c^2*x + 5/24*(-b^2*c*x^2 + a^2*c)^(3/2)*a^2*c*x + 1/6*(-b^2*c*x^2 + a^2*c)^(5/2)*x","A",0
1146,1,63,0,3.024374," ","integrate((b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x, algorithm=""maxima"")","\frac{3 \, a^{4} c^{\frac{3}{2}} \arcsin\left(\frac{b x}{a}\right)}{8 \, b} + \frac{3}{8} \, \sqrt{-b^{2} c x^{2} + a^{2} c} a^{2} c x + \frac{1}{4} \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} x"," ",0,"3/8*a^4*c^(3/2)*arcsin(b*x/a)/b + 3/8*sqrt(-b^2*c*x^2 + a^2*c)*a^2*c*x + 1/4*(-b^2*c*x^2 + a^2*c)^(3/2)*x","A",0
1147,1,39,0,3.086352," ","integrate((b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\frac{a^{2} \sqrt{c} \arcsin\left(\frac{b x}{a}\right)}{2 \, b} + \frac{1}{2} \, \sqrt{-b^{2} c x^{2} + a^{2} c} x"," ",0,"1/2*a^2*sqrt(c)*arcsin(b*x/a)/b + 1/2*sqrt(-b^2*c*x^2 + a^2*c)*x","A",0
1148,1,14,0,2.933381," ","integrate(1/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\frac{\arcsin\left(\frac{b x}{a}\right)}{b \sqrt{c}}"," ",0,"arcsin(b*x/a)/(b*sqrt(c))","A",0
1149,1,25,0,1.400303," ","integrate(1/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x, algorithm=""maxima"")","\frac{x}{\sqrt{-b^{2} c x^{2} + a^{2} c} a^{2} c}"," ",0,"x/(sqrt(-b^2*c*x^2 + a^2*c)*a^2*c)","A",0
1150,1,53,0,1.425828," ","integrate(1/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x, algorithm=""maxima"")","\frac{x}{3 \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} a^{2} c} + \frac{2 \, x}{3 \, \sqrt{-b^{2} c x^{2} + a^{2} c} a^{4} c^{2}}"," ",0,"1/3*x/((-b^2*c*x^2 + a^2*c)^(3/2)*a^2*c) + 2/3*x/(sqrt(-b^2*c*x^2 + a^2*c)*a^4*c^2)","A",0
1151,1,79,0,1.321777," ","integrate(1/(b*x+a)^(7/2)/(-b*c*x+a*c)^(7/2),x, algorithm=""maxima"")","\frac{x}{5 \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{5}{2}} a^{2} c} + \frac{4 \, x}{15 \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} a^{4} c^{2}} + \frac{8 \, x}{15 \, \sqrt{-b^{2} c x^{2} + a^{2} c} a^{6} c^{3}}"," ",0,"1/5*x/((-b^2*c*x^2 + a^2*c)^(5/2)*a^2*c) + 4/15*x/((-b^2*c*x^2 + a^2*c)^(3/2)*a^4*c^2) + 8/15*x/(sqrt(-b^2*c*x^2 + a^2*c)*a^6*c^3)","A",0
1152,1,105,0,1.293131," ","integrate(1/(b*x+a)^(9/2)/(-b*c*x+a*c)^(9/2),x, algorithm=""maxima"")","\frac{x}{7 \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{7}{2}} a^{2} c} + \frac{6 \, x}{35 \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{5}{2}} a^{4} c^{2}} + \frac{8 \, x}{35 \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} a^{6} c^{3}} + \frac{16 \, x}{35 \, \sqrt{-b^{2} c x^{2} + a^{2} c} a^{8} c^{4}}"," ",0,"1/7*x/((-b^2*c*x^2 + a^2*c)^(7/2)*a^2*c) + 6/35*x/((-b^2*c*x^2 + a^2*c)^(5/2)*a^4*c^2) + 8/35*x/((-b^2*c*x^2 + a^2*c)^(3/2)*a^6*c^3) + 16/35*x/(sqrt(-b^2*c*x^2 + a^2*c)*a^8*c^4)","A",0
1153,1,46,0,2.864120," ","integrate((3-6*x)^(5/2)*(4*x+2)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(-24 \, x^{2} + 6\right)}^{\frac{5}{2}} x + \frac{5}{4} \, {\left(-24 \, x^{2} + 6\right)}^{\frac{3}{2}} x + \frac{45}{4} \, \sqrt{-24 \, x^{2} + 6} x + \frac{45}{8} \, \sqrt{6} \arcsin\left(2 \, x\right)"," ",0,"1/6*(-24*x^2 + 6)^(5/2)*x + 5/4*(-24*x^2 + 6)^(3/2)*x + 45/4*sqrt(-24*x^2 + 6)*x + 45/8*sqrt(6)*arcsin(2*x)","A",0
1154,1,34,0,2.858928," ","integrate((3-6*x)^(3/2)*(4*x+2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(-24 \, x^{2} + 6\right)}^{\frac{3}{2}} x + \frac{9}{4} \, \sqrt{-24 \, x^{2} + 6} x + \frac{9}{8} \, \sqrt{6} \arcsin\left(2 \, x\right)"," ",0,"1/4*(-24*x^2 + 6)^(3/2)*x + 9/4*sqrt(-24*x^2 + 6)*x + 9/8*sqrt(6)*arcsin(2*x)","A",0
1155,1,22,0,3.067759," ","integrate((3-6*x)^(1/2)*(4*x+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-24 \, x^{2} + 6} x + \frac{1}{4} \, \sqrt{6} \arcsin\left(2 \, x\right)"," ",0,"1/2*sqrt(-24*x^2 + 6)*x + 1/4*sqrt(6)*arcsin(2*x)","A",0
1156,1,9,0,2.942973," ","integrate(1/(3-6*x)^(1/2)/(4*x+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{6} \arcsin\left(2 \, x\right)"," ",0,"1/12*sqrt(6)*arcsin(2*x)","A",0
1157,1,12,0,1.357690," ","integrate(1/(3-6*x)^(3/2)/(4*x+2)^(3/2),x, algorithm=""maxima"")","\frac{x}{6 \, \sqrt{-24 \, x^{2} + 6}}"," ",0,"1/6*x/sqrt(-24*x^2 + 6)","A",0
1158,1,25,0,1.276768," ","integrate(1/(3-6*x)^(5/2)/(4*x+2)^(5/2),x, algorithm=""maxima"")","\frac{x}{54 \, \sqrt{-24 \, x^{2} + 6}} + \frac{x}{18 \, {\left(-24 \, x^{2} + 6\right)}^{\frac{3}{2}}}"," ",0,"1/54*x/sqrt(-24*x^2 + 6) + 1/18*x/(-24*x^2 + 6)^(3/2)","A",0
1159,1,37,0,1.314543," ","integrate(1/(3-6*x)^(7/2)/(4*x+2)^(7/2),x, algorithm=""maxima"")","\frac{x}{405 \, \sqrt{-24 \, x^{2} + 6}} + \frac{x}{135 \, {\left(-24 \, x^{2} + 6\right)}^{\frac{3}{2}}} + \frac{x}{30 \, {\left(-24 \, x^{2} + 6\right)}^{\frac{5}{2}}}"," ",0,"1/405*x/sqrt(-24*x^2 + 6) + 1/135*x/(-24*x^2 + 6)^(3/2) + 1/30*x/(-24*x^2 + 6)^(5/2)","A",0
1160,1,67,0,2.968243," ","integrate((3-x)^(3/2)*(-2+x)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(-x^{2} + 5 \, x - 6\right)}^{\frac{3}{2}} x - \frac{5}{8} \, {\left(-x^{2} + 5 \, x - 6\right)}^{\frac{3}{2}} + \frac{3}{32} \, \sqrt{-x^{2} + 5 \, x - 6} x - \frac{15}{64} \, \sqrt{-x^{2} + 5 \, x - 6} + \frac{3}{128} \, \arcsin\left(2 \, x - 5\right)"," ",0,"1/4*(-x^2 + 5*x - 6)^(3/2)*x - 5/8*(-x^2 + 5*x - 6)^(3/2) + 3/32*sqrt(-x^2 + 5*x - 6)*x - 15/64*sqrt(-x^2 + 5*x - 6) + 3/128*arcsin(2*x - 5)","A",0
1161,1,38,0,2.963923," ","integrate((3-x)^(1/2)*(-2+x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-x^{2} + 5 \, x - 6} x - \frac{5}{4} \, \sqrt{-x^{2} + 5 \, x - 6} + \frac{1}{8} \, \arcsin\left(2 \, x - 5\right)"," ",0,"1/2*sqrt(-x^2 + 5*x - 6)*x - 5/4*sqrt(-x^2 + 5*x - 6) + 1/8*arcsin(2*x - 5)","A",0
1162,1,6,0,3.001221," ","integrate(1/(3-x)^(1/2)/(-2+x)^(1/2),x, algorithm=""maxima"")","\arcsin\left(2 \, x - 5\right)"," ",0,"arcsin(2*x - 5)","A",0
1163,1,30,0,1.317765," ","integrate(1/(3-x)^(3/2)/(-2+x)^(3/2),x, algorithm=""maxima"")","\frac{4 \, x}{\sqrt{-x^{2} + 5 \, x - 6}} - \frac{10}{\sqrt{-x^{2} + 5 \, x - 6}}"," ",0,"4*x/sqrt(-x^2 + 5*x - 6) - 10/sqrt(-x^2 + 5*x - 6)","A",0
1164,1,59,0,1.337052," ","integrate(1/(3-x)^(5/2)/(-2+x)^(5/2),x, algorithm=""maxima"")","\frac{32 \, x}{3 \, \sqrt{-x^{2} + 5 \, x - 6}} - \frac{80}{3 \, \sqrt{-x^{2} + 5 \, x - 6}} + \frac{4 \, x}{3 \, {\left(-x^{2} + 5 \, x - 6\right)}^{\frac{3}{2}}} - \frac{10}{3 \, {\left(-x^{2} + 5 \, x - 6\right)}^{\frac{3}{2}}}"," ",0,"32/3*x/sqrt(-x^2 + 5*x - 6) - 80/3/sqrt(-x^2 + 5*x - 6) + 4/3*x/(-x^2 + 5*x - 6)^(3/2) - 10/3/(-x^2 + 5*x - 6)^(3/2)","A",0
1165,1,12,0,1.366732," ","integrate(1/(3-x)^(3/2)/(3+x)^(3/2),x, algorithm=""maxima"")","\frac{x}{9 \, \sqrt{-x^{2} + 9}}"," ",0,"1/9*x/sqrt(-x^2 + 9)","A",0
1166,1,15,0,1.371405," ","integrate(1/(-b*x+3)^(3/2)/(b*x+3)^(3/2),x, algorithm=""maxima"")","\frac{x}{9 \, \sqrt{-b^{2} x^{2} + 9}}"," ",0,"1/9*x/sqrt(-b^2*x^2 + 9)","A",0
1167,1,12,0,1.332186," ","integrate(1/(6-2*x)^(3/2)/(3+x)^(3/2),x, algorithm=""maxima"")","\frac{x}{18 \, \sqrt{-2 \, x^{2} + 18}}"," ",0,"1/18*x/sqrt(-2*x^2 + 18)","A",0
1168,1,15,0,1.253693," ","integrate(1/(-2*b*x+6)^(3/2)/(b*x+3)^(3/2),x, algorithm=""maxima"")","\frac{x}{18 \, \sqrt{-2 \, b^{2} x^{2} + 18}}"," ",0,"1/18*x/sqrt(-2*b^2*x^2 + 18)","A",0
1169,1,39,0,1.429276," ","integrate(1/(b*x+a)^(1/2)/(b*d*x-a*d)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} d x + 2 \, \sqrt{b^{2} d x^{2} - a^{2} d} b \sqrt{d}\right)}{b \sqrt{d}}"," ",0,"log(2*b^2*d*x + 2*sqrt(b^2*d*x^2 - a^2*d)*b*sqrt(d))/(b*sqrt(d))","A",0
1170,0,0,0,0.000000," ","integrate(1/(-3*e*x+6)^(1/4)/(e*x+2)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + 2\right)}^{\frac{3}{4}} {\left(-3 \, e x + 6\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((e*x + 2)^(3/4)*(-3*e*x + 6)^(1/4)), x)","F",0
1171,0,0,0,0.000000," ","integrate((a-I*a*x)^(7/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{7}{4}}}{{\left(i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(7/4)/(I*a*x + a)^(1/4), x)","F",0
1172,0,0,0,0.000000," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{3}{4}}}{{\left(i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(3/4)/(I*a*x + a)^(1/4), x)","F",0
1173,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)), x)","F",0
1174,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(5/4)), x)","F",0
1175,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(9/4)), x)","F",0
1176,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(13/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{13}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(13/4)), x)","F",0
1177,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(17/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{17}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(17/4)), x)","F",0
1178,0,0,0,0.000000," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{1}{4}}}{{\left(i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(1/4)/(I*a*x + a)^(1/4), x)","F",0
1179,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4)), x)","F",0
1180,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(7/4)), x)","F",0
1181,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{11}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(11/4)), x)","F",0
1182,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(15/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{15}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(15/4)), x)","F",0
1183,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(19/4)/(a+I*a*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{19}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(19/4)), x)","F",0
1184,0,0,0,0.000000," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{3}{4}}}{{\left(i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(3/4)/(I*a*x + a)^(3/4), x)","F",0
1185,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)), x)","F",0
1186,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(3/4)*(-I*a*x + a)^(5/4)), x)","F",0
1187,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(3/4)*(-I*a*x + a)^(9/4)), x)","F",0
1188,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(13/4)/(a+I*a*x)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{13}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(3/4)*(-I*a*x + a)^(13/4)), x)","F",0
1189,0,0,0,0.000000," ","integrate((a-I*a*x)^(5/4)/(a+I*a*x)^(3/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{5}{4}}}{{\left(i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(5/4)/(I*a*x + a)^(3/4), x)","F",0
1190,0,0,0,0.000000," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(3/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{1}{4}}}{{\left(i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(1/4)/(I*a*x + a)^(3/4), x)","F",0
1191,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)), x)","F",0
1192,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(3/4)*(-I*a*x + a)^(7/4)), x)","F",0
1193,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{11}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(3/4)*(-I*a*x + a)^(11/4)), x)","F",0
1194,0,0,0,0.000000," ","integrate((a-I*a*x)^(7/4)/(a+I*a*x)^(7/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{7}{4}}}{{\left(i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(7/4)/(I*a*x + a)^(7/4), x)","F",0
1195,0,0,0,0.000000," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(7/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{3}{4}}}{{\left(i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(3/4)/(I*a*x + a)^(7/4), x)","F",0
1196,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(7/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{7}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(7/4)*(-I*a*x + a)^(1/4)), x)","F",0
1197,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(7/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{7}{4}} {\left(-i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(7/4)*(-I*a*x + a)^(5/4)), x)","F",0
1198,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(7/4),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
1199,0,0,0,0.000000," ","integrate((a-I*a*x)^(9/4)/(a+I*a*x)^(7/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{9}{4}}}{{\left(i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(9/4)/(I*a*x + a)^(7/4), x)","F",0
1200,0,0,0,0.000000," ","integrate((a-I*a*x)^(5/4)/(a+I*a*x)^(7/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{5}{4}}}{{\left(i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(5/4)/(I*a*x + a)^(7/4), x)","F",0
1201,0,0,0,0.000000," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(7/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{1}{4}}}{{\left(i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(1/4)/(I*a*x + a)^(7/4), x)","F",0
1202,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(7/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{7}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(7/4)*(-I*a*x + a)^(3/4)), x)","F",0
1203,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(7/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{7}{4}} {\left(-i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(7/4)*(-I*a*x + a)^(7/4)), x)","F",0
1204,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(7/4),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
1205,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(15/4)/(a+I*a*x)^(7/4),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
1206,0,0,0,0.000000," ","integrate((a-I*a*x)^(7/4)/(a+I*a*x)^(5/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{7}{4}}}{{\left(i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(7/4)/(I*a*x + a)^(5/4), x)","F",0
1207,0,0,0,0.000000," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(5/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{3}{4}}}{{\left(i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(3/4)/(I*a*x + a)^(5/4), x)","F",0
1208,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{5}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(5/4)*(-I*a*x + a)^(1/4)), x)","F",0
1209,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{5}{4}} {\left(-i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(5/4)*(-I*a*x + a)^(5/4)), x)","F",0
1210,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(5/4),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
1211,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(13/4)/(a+I*a*x)^(5/4),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
1212,0,0,0,0.000000," ","integrate((a-I*a*x)^(5/4)/(a+I*a*x)^(5/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{5}{4}}}{{\left(i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(5/4)/(I*a*x + a)^(5/4), x)","F",0
1213,0,0,0,0.000000," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(5/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{1}{4}}}{{\left(i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(1/4)/(I*a*x + a)^(5/4), x)","F",0
1214,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{5}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(5/4)*(-I*a*x + a)^(3/4)), x)","F",0
1215,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{5}{4}} {\left(-i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(5/4)*(-I*a*x + a)^(7/4)), x)","F",0
1216,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(5/4),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
1217,0,0,0,0.000000," ","integrate((a-I*a*x)^(7/4)/(a+I*a*x)^(9/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{7}{4}}}{{\left(i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(7/4)/(I*a*x + a)^(9/4), x)","F",0
1218,0,0,0,0.000000," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(9/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{3}{4}}}{{\left(i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(3/4)/(I*a*x + a)^(9/4), x)","F",0
1219,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(9/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{9}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(9/4)*(-I*a*x + a)^(1/4)), x)","F",0
1220,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(9/4),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
1221,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(9/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{9}{4}} {\left(-i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(9/4)*(-I*a*x + a)^(9/4)), x)","F",0
1222,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(13/4)/(a+I*a*x)^(9/4),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
1223,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(17/4)/(a+I*a*x)^(9/4),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
1224,0,0,0,0.000000," ","integrate((a-I*a*x)^(5/4)/(a+I*a*x)^(9/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{5}{4}}}{{\left(i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(5/4)/(I*a*x + a)^(9/4), x)","F",0
1225,0,0,0,0.000000," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(9/4),x, algorithm=""maxima"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{1}{4}}}{{\left(i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(1/4)/(I*a*x + a)^(9/4), x)","F",0
1226,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(9/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{9}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(9/4)*(-I*a*x + a)^(3/4)), x)","F",0
1227,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(9/4),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
1228,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(9/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{9}{4}} {\left(-i \, a x + a\right)}^{\frac{11}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(9/4)*(-I*a*x + a)^(11/4)), x)","F",0
1229,1,167,0,1.530211," ","integrate((b*x+a)^2*(-b*c*x+a*c)^n,x, algorithm=""maxima"")","\frac{2 \, {\left(b^{2} c^{n} {\left(n + 1\right)} x^{2} - a b c^{n} n x - a^{2} c^{n}\right)} {\left(-b x + a\right)}^{n} a}{{\left(n^{2} + 3 \, n + 2\right)} b} + \frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} c^{n} x^{3} - {\left(n^{2} + n\right)} a b^{2} c^{n} x^{2} - 2 \, a^{2} b c^{n} n x - 2 \, a^{3} c^{n}\right)} {\left(-b x + a\right)}^{n}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b} - \frac{{\left(-b c x + a c\right)}^{n + 1} a^{2}}{b c {\left(n + 1\right)}}"," ",0,"2*(b^2*c^n*(n + 1)*x^2 - a*b*c^n*n*x - a^2*c^n)*(-b*x + a)^n*a/((n^2 + 3*n + 2)*b) + ((n^2 + 3*n + 2)*b^3*c^n*x^3 - (n^2 + n)*a*b^2*c^n*x^2 - 2*a^2*b*c^n*n*x - 2*a^3*c^n)*(-b*x + a)^n/((n^3 + 6*n^2 + 11*n + 6)*b) - (-b*c*x + a*c)^(n + 1)*a^2/(b*c*(n + 1))","B",0
1230,1,81,0,1.396210," ","integrate((b*x+a)*(-b*c*x+a*c)^n,x, algorithm=""maxima"")","\frac{{\left(b^{2} c^{n} {\left(n + 1\right)} x^{2} - a b c^{n} n x - a^{2} c^{n}\right)} {\left(-b x + a\right)}^{n}}{{\left(n^{2} + 3 \, n + 2\right)} b} - \frac{{\left(-b c x + a c\right)}^{n + 1} a}{b c {\left(n + 1\right)}}"," ",0,"(b^2*c^n*(n + 1)*x^2 - a*b*c^n*n*x - a^2*c^n)*(-b*x + a)^n/((n^2 + 3*n + 2)*b) - (-b*c*x + a*c)^(n + 1)*a/(b*c*(n + 1))","A",0
1231,0,0,0,0.000000," ","integrate((-b*c*x+a*c)^n/(b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(-b c x + a c\right)}^{n}}{b x + a}\,{d x}"," ",0,"integrate((-b*c*x + a*c)^n/(b*x + a), x)","F",0
1232,0,0,0,0.000000," ","integrate((-b*c*x+a*c)^n/(b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(-b c x + a c\right)}^{n}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((-b*c*x + a*c)^n/(b*x + a)^2, x)","F",0
1233,0,0,0,0.000000," ","integrate((a*x+a)^m*(-c*x+c)^m,x, algorithm=""maxima"")","\int {\left(a x + a\right)}^{m} {\left(-c x + c\right)}^{m}\,{d x}"," ",0,"integrate((a*x + a)^m*(-c*x + c)^m, x)","F",0
1234,0,0,0,0.000000," ","integrate((b*x+a)^m*(-b*c*x+a*c)^m,x, algorithm=""maxima"")","\int {\left(-b c x + a c\right)}^{m} {\left(b x + a\right)}^{m}\,{d x}"," ",0,"integrate((-b*c*x + a*c)^m*(b*x + a)^m, x)","F",0
1235,0,0,0,0.000000," ","integrate((3-6*x)^m*(4*x+2)^m,x, algorithm=""maxima"")","\int {\left(4 \, x + 2\right)}^{m} {\left(-6 \, x + 3\right)}^{m}\,{d x}"," ",0,"integrate((4*x + 2)^m*(-6*x + 3)^m, x)","F",0
1236,1,96,0,1.382533," ","integrate((b*x+a)^4*(d*x+c),x, algorithm=""maxima"")","\frac{1}{6} \, b^{4} d x^{6} + a^{4} c x + \frac{1}{5} \, {\left(b^{4} c + 4 \, a b^{3} d\right)} x^{5} + \frac{1}{2} \, {\left(2 \, a b^{3} c + 3 \, a^{2} b^{2} d\right)} x^{4} + \frac{2}{3} \, {\left(3 \, a^{2} b^{2} c + 2 \, a^{3} b d\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a^{3} b c + a^{4} d\right)} x^{2}"," ",0,"1/6*b^4*d*x^6 + a^4*c*x + 1/5*(b^4*c + 4*a*b^3*d)*x^5 + 1/2*(2*a*b^3*c + 3*a^2*b^2*d)*x^4 + 2/3*(3*a^2*b^2*c + 2*a^3*b*d)*x^3 + 1/2*(4*a^3*b*c + a^4*d)*x^2","B",0
1237,1,69,0,1.406280," ","integrate((b*x+a)^3*(d*x+c),x, algorithm=""maxima"")","\frac{1}{5} \, b^{3} d x^{5} + a^{3} c x + \frac{1}{4} \, {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{4} + {\left(a b^{2} c + a^{2} b d\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b c + a^{3} d\right)} x^{2}"," ",0,"1/5*b^3*d*x^5 + a^3*c*x + 1/4*(b^3*c + 3*a*b^2*d)*x^4 + (a*b^2*c + a^2*b*d)*x^3 + 1/2*(3*a^2*b*c + a^3*d)*x^2","B",0
1238,1,48,0,1.299814," ","integrate((b*x+a)^2*(d*x+c),x, algorithm=""maxima"")","\frac{1}{4} \, b^{2} d x^{4} + a^{2} c x + \frac{1}{3} \, {\left(b^{2} c + 2 \, a b d\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a b c + a^{2} d\right)} x^{2}"," ",0,"1/4*b^2*d*x^4 + a^2*c*x + 1/3*(b^2*c + 2*a*b*d)*x^3 + 1/2*(2*a*b*c + a^2*d)*x^2","A",0
1239,1,24,0,1.349715," ","integrate((b*x+a)*(d*x+c),x, algorithm=""maxima"")","\frac{1}{3} \, b d x^{3} + a c x + \frac{1}{2} \, {\left(b c + a d\right)} x^{2}"," ",0,"1/3*b*d*x^3 + a*c*x + 1/2*(b*c + a*d)*x^2","A",0
1240,1,10,0,1.350427," ","integrate(d*x+c,x, algorithm=""maxima"")","\frac{1}{2} \, d x^{2} + c x"," ",0,"1/2*d*x^2 + c*x","A",0
1241,1,25,0,1.250703," ","integrate((d*x+c)/(b*x+a),x, algorithm=""maxima"")","\frac{d x}{b} + \frac{{\left(b c - a d\right)} \log\left(b x + a\right)}{b^{2}}"," ",0,"d*x/b + (b*c - a*d)*log(b*x + a)/b^2","A",0
1242,1,35,0,1.339390," ","integrate((d*x+c)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{b c - a d}{b^{3} x + a b^{2}} + \frac{d \log\left(b x + a\right)}{b^{2}}"," ",0,"-(b*c - a*d)/(b^3*x + a*b^2) + d*log(b*x + a)/b^2","A",0
1243,1,38,0,1.362239," ","integrate((d*x+c)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{2 \, b d x + b c + a d}{2 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}}"," ",0,"-1/2*(2*b*d*x + b*c + a*d)/(b^4*x^2 + 2*a*b^3*x + a^2*b^2)","A",0
1244,1,50,0,1.314980," ","integrate((d*x+c)/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{3 \, b d x + 2 \, b c + a d}{6 \, {\left(b^{5} x^{3} + 3 \, a b^{4} x^{2} + 3 \, a^{2} b^{3} x + a^{3} b^{2}\right)}}"," ",0,"-1/6*(3*b*d*x + 2*b*c + a*d)/(b^5*x^3 + 3*a*b^4*x^2 + 3*a^2*b^3*x + a^3*b^2)","A",0
1245,1,61,0,1.385375," ","integrate((d*x+c)/(b*x+a)^5,x, algorithm=""maxima"")","-\frac{4 \, b d x + 3 \, b c + a d}{12 \, {\left(b^{6} x^{4} + 4 \, a b^{5} x^{3} + 6 \, a^{2} b^{4} x^{2} + 4 \, a^{3} b^{3} x + a^{4} b^{2}\right)}}"," ",0,"-1/12*(4*b*d*x + 3*b*c + a*d)/(b^6*x^4 + 4*a*b^5*x^3 + 6*a^2*b^4*x^2 + 4*a^3*b^3*x + a^4*b^2)","A",0
1246,1,156,0,1.362320," ","integrate((b*x+a)^4*(d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{7} \, b^{4} d^{2} x^{7} + a^{4} c^{2} x + \frac{1}{3} \, {\left(b^{4} c d + 2 \, a b^{3} d^{2}\right)} x^{6} + \frac{1}{5} \, {\left(b^{4} c^{2} + 8 \, a b^{3} c d + 6 \, a^{2} b^{2} d^{2}\right)} x^{5} + {\left(a b^{3} c^{2} + 3 \, a^{2} b^{2} c d + a^{3} b d^{2}\right)} x^{4} + \frac{1}{3} \, {\left(6 \, a^{2} b^{2} c^{2} + 8 \, a^{3} b c d + a^{4} d^{2}\right)} x^{3} + {\left(2 \, a^{3} b c^{2} + a^{4} c d\right)} x^{2}"," ",0,"1/7*b^4*d^2*x^7 + a^4*c^2*x + 1/3*(b^4*c*d + 2*a*b^3*d^2)*x^6 + 1/5*(b^4*c^2 + 8*a*b^3*c*d + 6*a^2*b^2*d^2)*x^5 + (a*b^3*c^2 + 3*a^2*b^2*c*d + a^3*b*d^2)*x^4 + 1/3*(6*a^2*b^2*c^2 + 8*a^3*b*c*d + a^4*d^2)*x^3 + (2*a^3*b*c^2 + a^4*c*d)*x^2","B",0
1247,1,124,0,1.344329," ","integrate((b*x+a)^3*(d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{6} \, b^{3} d^{2} x^{6} + a^{3} c^{2} x + \frac{1}{5} \, {\left(2 \, b^{3} c d + 3 \, a b^{2} d^{2}\right)} x^{5} + \frac{1}{4} \, {\left(b^{3} c^{2} + 6 \, a b^{2} c d + 3 \, a^{2} b d^{2}\right)} x^{4} + \frac{1}{3} \, {\left(3 \, a b^{2} c^{2} + 6 \, a^{2} b c d + a^{3} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b c^{2} + 2 \, a^{3} c d\right)} x^{2}"," ",0,"1/6*b^3*d^2*x^6 + a^3*c^2*x + 1/5*(2*b^3*c*d + 3*a*b^2*d^2)*x^5 + 1/4*(b^3*c^2 + 6*a*b^2*c*d + 3*a^2*b*d^2)*x^4 + 1/3*(3*a*b^2*c^2 + 6*a^2*b*c*d + a^3*d^2)*x^3 + 1/2*(3*a^2*b*c^2 + 2*a^3*c*d)*x^2","B",0
1248,1,81,0,1.338926," ","integrate((b*x+a)^2*(d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{5} \, b^{2} d^{2} x^{5} + a^{2} c^{2} x + \frac{1}{2} \, {\left(b^{2} c d + a b d^{2}\right)} x^{4} + \frac{1}{3} \, {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} x^{3} + {\left(a b c^{2} + a^{2} c d\right)} x^{2}"," ",0,"1/5*b^2*d^2*x^5 + a^2*c^2*x + 1/2*(b^2*c*d + a*b*d^2)*x^4 + 1/3*(b^2*c^2 + 4*a*b*c*d + a^2*d^2)*x^3 + (a*b*c^2 + a^2*c*d)*x^2","A",0
1249,1,48,0,1.305746," ","integrate((b*x+a)*(d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{4} \, b d^{2} x^{4} + a c^{2} x + \frac{1}{3} \, {\left(2 \, b c d + a d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(b c^{2} + 2 \, a c d\right)} x^{2}"," ",0,"1/4*b*d^2*x^4 + a*c^2*x + 1/3*(2*b*c*d + a*d^2)*x^3 + 1/2*(b*c^2 + 2*a*c*d)*x^2","A",0
1250,1,20,0,1.313525," ","integrate((d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{3} \, d^{2} x^{3} + c d x^{2} + c^{2} x"," ",0,"1/3*d^2*x^3 + c*d*x^2 + c^2*x","A",0
1251,1,61,0,1.355849," ","integrate((d*x+c)^2/(b*x+a),x, algorithm=""maxima"")","\frac{b d^{2} x^{2} + 2 \, {\left(2 \, b c d - a d^{2}\right)} x}{2 \, b^{2}} + \frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left(b x + a\right)}{b^{3}}"," ",0,"1/2*(b*d^2*x^2 + 2*(2*b*c*d - a*d^2)*x)/b^2 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(b*x + a)/b^3","A",0
1252,1,67,0,1.371579," ","integrate((d*x+c)^2/(b*x+a)^2,x, algorithm=""maxima"")","\frac{d^{2} x}{b^{2}} - \frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{b^{4} x + a b^{3}} + \frac{2 \, {\left(b c d - a d^{2}\right)} \log\left(b x + a\right)}{b^{3}}"," ",0,"d^2*x/b^2 - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(b^4*x + a*b^3) + 2*(b*c*d - a*d^2)*log(b*x + a)/b^3","A",0
1253,1,79,0,1.299856," ","integrate((d*x+c)^2/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{b^{2} c^{2} + 2 \, a b c d - 3 \, a^{2} d^{2} + 4 \, {\left(b^{2} c d - a b d^{2}\right)} x}{2 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}} + \frac{d^{2} \log\left(b x + a\right)}{b^{3}}"," ",0,"-1/2*(b^2*c^2 + 2*a*b*c*d - 3*a^2*d^2 + 4*(b^2*c*d - a*b*d^2)*x)/(b^5*x^2 + 2*a*b^4*x + a^2*b^3) + d^2*log(b*x + a)/b^3","A",0
1254,1,84,0,1.374118," ","integrate((d*x+c)^2/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{3 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + a b c d + a^{2} d^{2} + 3 \, {\left(b^{2} c d + a b d^{2}\right)} x}{3 \, {\left(b^{6} x^{3} + 3 \, a b^{5} x^{2} + 3 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}"," ",0,"-1/3*(3*b^2*d^2*x^2 + b^2*c^2 + a*b*c*d + a^2*d^2 + 3*(b^2*c*d + a*b*d^2)*x)/(b^6*x^3 + 3*a*b^5*x^2 + 3*a^2*b^4*x + a^3*b^3)","B",0
1255,1,98,0,1.328783," ","integrate((d*x+c)^2/(b*x+a)^5,x, algorithm=""maxima"")","-\frac{6 \, b^{2} d^{2} x^{2} + 3 \, b^{2} c^{2} + 2 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b^{2} c d + a b d^{2}\right)} x}{12 \, {\left(b^{7} x^{4} + 4 \, a b^{6} x^{3} + 6 \, a^{2} b^{5} x^{2} + 4 \, a^{3} b^{4} x + a^{4} b^{3}\right)}}"," ",0,"-1/12*(6*b^2*d^2*x^2 + 3*b^2*c^2 + 2*a*b*c*d + a^2*d^2 + 4*(2*b^2*c*d + a*b*d^2)*x)/(b^7*x^4 + 4*a*b^6*x^3 + 6*a^2*b^5*x^2 + 4*a^3*b^4*x + a^4*b^3)","A",0
1256,1,109,0,1.350128," ","integrate((d*x+c)^2/(b*x+a)^6,x, algorithm=""maxima"")","-\frac{10 \, b^{2} d^{2} x^{2} + 6 \, b^{2} c^{2} + 3 \, a b c d + a^{2} d^{2} + 5 \, {\left(3 \, b^{2} c d + a b d^{2}\right)} x}{30 \, {\left(b^{8} x^{5} + 5 \, a b^{7} x^{4} + 10 \, a^{2} b^{6} x^{3} + 10 \, a^{3} b^{5} x^{2} + 5 \, a^{4} b^{4} x + a^{5} b^{3}\right)}}"," ",0,"-1/30*(10*b^2*d^2*x^2 + 6*b^2*c^2 + 3*a*b*c*d + a^2*d^2 + 5*(3*b^2*c*d + a*b*d^2)*x)/(b^8*x^5 + 5*a*b^7*x^4 + 10*a^2*b^6*x^3 + 10*a^3*b^5*x^2 + 5*a^4*b^4*x + a^5*b^3)","A",0
1257,1,120,0,1.390593," ","integrate((d*x+c)^2/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{15 \, b^{2} d^{2} x^{2} + 10 \, b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2} + 6 \, {\left(4 \, b^{2} c d + a b d^{2}\right)} x}{60 \, {\left(b^{9} x^{6} + 6 \, a b^{8} x^{5} + 15 \, a^{2} b^{7} x^{4} + 20 \, a^{3} b^{6} x^{3} + 15 \, a^{4} b^{5} x^{2} + 6 \, a^{5} b^{4} x + a^{6} b^{3}\right)}}"," ",0,"-1/60*(15*b^2*d^2*x^2 + 10*b^2*c^2 + 4*a*b*c*d + a^2*d^2 + 6*(4*b^2*c*d + a*b*d^2)*x)/(b^9*x^6 + 6*a*b^8*x^5 + 15*a^2*b^7*x^4 + 20*a^3*b^6*x^3 + 15*a^4*b^5*x^2 + 6*a^5*b^4*x + a^6*b^3)","B",0
1258,1,277,0,1.379982," ","integrate((b*x+a)^5*(d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{9} \, b^{5} d^{3} x^{9} + a^{5} c^{3} x + \frac{1}{8} \, {\left(3 \, b^{5} c d^{2} + 5 \, a b^{4} d^{3}\right)} x^{8} + \frac{1}{7} \, {\left(3 \, b^{5} c^{2} d + 15 \, a b^{4} c d^{2} + 10 \, a^{2} b^{3} d^{3}\right)} x^{7} + \frac{1}{6} \, {\left(b^{5} c^{3} + 15 \, a b^{4} c^{2} d + 30 \, a^{2} b^{3} c d^{2} + 10 \, a^{3} b^{2} d^{3}\right)} x^{6} + {\left(a b^{4} c^{3} + 6 \, a^{2} b^{3} c^{2} d + 6 \, a^{3} b^{2} c d^{2} + a^{4} b d^{3}\right)} x^{5} + \frac{1}{4} \, {\left(10 \, a^{2} b^{3} c^{3} + 30 \, a^{3} b^{2} c^{2} d + 15 \, a^{4} b c d^{2} + a^{5} d^{3}\right)} x^{4} + \frac{1}{3} \, {\left(10 \, a^{3} b^{2} c^{3} + 15 \, a^{4} b c^{2} d + 3 \, a^{5} c d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(5 \, a^{4} b c^{3} + 3 \, a^{5} c^{2} d\right)} x^{2}"," ",0,"1/9*b^5*d^3*x^9 + a^5*c^3*x + 1/8*(3*b^5*c*d^2 + 5*a*b^4*d^3)*x^8 + 1/7*(3*b^5*c^2*d + 15*a*b^4*c*d^2 + 10*a^2*b^3*d^3)*x^7 + 1/6*(b^5*c^3 + 15*a*b^4*c^2*d + 30*a^2*b^3*c*d^2 + 10*a^3*b^2*d^3)*x^6 + (a*b^4*c^3 + 6*a^2*b^3*c^2*d + 6*a^3*b^2*c*d^2 + a^4*b*d^3)*x^5 + 1/4*(10*a^2*b^3*c^3 + 30*a^3*b^2*c^2*d + 15*a^4*b*c*d^2 + a^5*d^3)*x^4 + 1/3*(10*a^3*b^2*c^3 + 15*a^4*b*c^2*d + 3*a^5*c*d^2)*x^3 + 1/2*(5*a^4*b*c^3 + 3*a^5*c^2*d)*x^2","B",0
1259,1,225,0,1.318316," ","integrate((b*x+a)^4*(d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{8} \, b^{4} d^{3} x^{8} + a^{4} c^{3} x + \frac{1}{7} \, {\left(3 \, b^{4} c d^{2} + 4 \, a b^{3} d^{3}\right)} x^{7} + \frac{1}{2} \, {\left(b^{4} c^{2} d + 4 \, a b^{3} c d^{2} + 2 \, a^{2} b^{2} d^{3}\right)} x^{6} + \frac{1}{5} \, {\left(b^{4} c^{3} + 12 \, a b^{3} c^{2} d + 18 \, a^{2} b^{2} c d^{2} + 4 \, a^{3} b d^{3}\right)} x^{5} + \frac{1}{4} \, {\left(4 \, a b^{3} c^{3} + 18 \, a^{2} b^{2} c^{2} d + 12 \, a^{3} b c d^{2} + a^{4} d^{3}\right)} x^{4} + {\left(2 \, a^{2} b^{2} c^{3} + 4 \, a^{3} b c^{2} d + a^{4} c d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a^{3} b c^{3} + 3 \, a^{4} c^{2} d\right)} x^{2}"," ",0,"1/8*b^4*d^3*x^8 + a^4*c^3*x + 1/7*(3*b^4*c*d^2 + 4*a*b^3*d^3)*x^7 + 1/2*(b^4*c^2*d + 4*a*b^3*c*d^2 + 2*a^2*b^2*d^3)*x^6 + 1/5*(b^4*c^3 + 12*a*b^3*c^2*d + 18*a^2*b^2*c*d^2 + 4*a^3*b*d^3)*x^5 + 1/4*(4*a*b^3*c^3 + 18*a^2*b^2*c^2*d + 12*a^3*b*c*d^2 + a^4*d^3)*x^4 + (2*a^2*b^2*c^3 + 4*a^3*b*c^2*d + a^4*c*d^2)*x^3 + 1/2*(4*a^3*b*c^3 + 3*a^4*c^2*d)*x^2","B",0
1260,1,167,0,1.340216," ","integrate((b*x+a)^3*(d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{7} \, b^{3} d^{3} x^{7} + a^{3} c^{3} x + \frac{1}{2} \, {\left(b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{6} + \frac{3}{5} \, {\left(b^{3} c^{2} d + 3 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x^{5} + \frac{1}{4} \, {\left(b^{3} c^{3} + 9 \, a b^{2} c^{2} d + 9 \, a^{2} b c d^{2} + a^{3} d^{3}\right)} x^{4} + {\left(a b^{2} c^{3} + 3 \, a^{2} b c^{2} d + a^{3} c d^{2}\right)} x^{3} + \frac{3}{2} \, {\left(a^{2} b c^{3} + a^{3} c^{2} d\right)} x^{2}"," ",0,"1/7*b^3*d^3*x^7 + a^3*c^3*x + 1/2*(b^3*c*d^2 + a*b^2*d^3)*x^6 + 3/5*(b^3*c^2*d + 3*a*b^2*c*d^2 + a^2*b*d^3)*x^5 + 1/4*(b^3*c^3 + 9*a*b^2*c^2*d + 9*a^2*b*c*d^2 + a^3*d^3)*x^4 + (a*b^2*c^3 + 3*a^2*b*c^2*d + a^3*c*d^2)*x^3 + 3/2*(a^2*b*c^3 + a^3*c^2*d)*x^2","A",0
1261,1,124,0,1.339782," ","integrate((b*x+a)^2*(d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{6} \, b^{2} d^{3} x^{6} + a^{2} c^{3} x + \frac{1}{5} \, {\left(3 \, b^{2} c d^{2} + 2 \, a b d^{3}\right)} x^{5} + \frac{1}{4} \, {\left(3 \, b^{2} c^{2} d + 6 \, a b c d^{2} + a^{2} d^{3}\right)} x^{4} + \frac{1}{3} \, {\left(b^{2} c^{3} + 6 \, a b c^{2} d + 3 \, a^{2} c d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a b c^{3} + 3 \, a^{2} c^{2} d\right)} x^{2}"," ",0,"1/6*b^2*d^3*x^6 + a^2*c^3*x + 1/5*(3*b^2*c*d^2 + 2*a*b*d^3)*x^5 + 1/4*(3*b^2*c^2*d + 6*a*b*c*d^2 + a^2*d^3)*x^4 + 1/3*(b^2*c^3 + 6*a*b*c^2*d + 3*a^2*c*d^2)*x^3 + 1/2*(2*a*b*c^3 + 3*a^2*c^2*d)*x^2","B",0
1262,1,69,0,1.390356," ","integrate((b*x+a)*(d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{5} \, b d^{3} x^{5} + a c^{3} x + \frac{1}{4} \, {\left(3 \, b c d^{2} + a d^{3}\right)} x^{4} + {\left(b c^{2} d + a c d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(b c^{3} + 3 \, a c^{2} d\right)} x^{2}"," ",0,"1/5*b*d^3*x^5 + a*c^3*x + 1/4*(3*b*c*d^2 + a*d^3)*x^4 + (b*c^2*d + a*c*d^2)*x^3 + 1/2*(b*c^3 + 3*a*c^2*d)*x^2","B",0
1263,1,31,0,1.346471," ","integrate((d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{4} \, d^{3} x^{4} + c d^{2} x^{3} + \frac{3}{2} \, c^{2} d x^{2} + c^{3} x"," ",0,"1/4*d^3*x^4 + c*d^2*x^3 + 3/2*c^2*d*x^2 + c^3*x","B",0
1264,1,114,0,1.326615," ","integrate((d*x+c)^3/(b*x+a),x, algorithm=""maxima"")","\frac{2 \, b^{2} d^{3} x^{3} + 3 \, {\left(3 \, b^{2} c d^{2} - a b d^{3}\right)} x^{2} + 6 \, {\left(3 \, b^{2} c^{2} d - 3 \, a b c d^{2} + a^{2} d^{3}\right)} x}{6 \, b^{3}} + \frac{{\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \log\left(b x + a\right)}{b^{4}}"," ",0,"1/6*(2*b^2*d^3*x^3 + 3*(3*b^2*c*d^2 - a*b*d^3)*x^2 + 6*(3*b^2*c^2*d - 3*a*b*c*d^2 + a^2*d^3)*x)/b^3 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*log(b*x + a)/b^4","A",0
1265,1,118,0,1.316715," ","integrate((d*x+c)^3/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}}{b^{5} x + a b^{4}} + \frac{b d^{3} x^{2} + 2 \, {\left(3 \, b c d^{2} - 2 \, a d^{3}\right)} x}{2 \, b^{3}} + \frac{3 \, {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \log\left(b x + a\right)}{b^{4}}"," ",0,"-(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)/(b^5*x + a*b^4) + 1/2*(b*d^3*x^2 + 2*(3*b*c*d^2 - 2*a*d^3)*x)/b^3 + 3*(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*log(b*x + a)/b^4","A",0
1266,1,125,0,1.372922," ","integrate((d*x+c)^3/(b*x+a)^3,x, algorithm=""maxima"")","\frac{d^{3} x}{b^{3}} - \frac{b^{3} c^{3} + 3 \, a b^{2} c^{2} d - 9 \, a^{2} b c d^{2} + 5 \, a^{3} d^{3} + 6 \, {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{2 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}} + \frac{3 \, {\left(b c d^{2} - a d^{3}\right)} \log\left(b x + a\right)}{b^{4}}"," ",0,"d^3*x/b^3 - 1/2*(b^3*c^3 + 3*a*b^2*c^2*d - 9*a^2*b*c*d^2 + 5*a^3*d^3 + 6*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*x)/(b^6*x^2 + 2*a*b^5*x + a^2*b^4) + 3*(b*c*d^2 - a*d^3)*log(b*x + a)/b^4","A",0
1267,1,142,0,1.353409," ","integrate((d*x+c)^3/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{2 \, b^{3} c^{3} + 3 \, a b^{2} c^{2} d + 6 \, a^{2} b c d^{2} - 11 \, a^{3} d^{3} + 18 \, {\left(b^{3} c d^{2} - a b^{2} d^{3}\right)} x^{2} + 9 \, {\left(b^{3} c^{2} d + 2 \, a b^{2} c d^{2} - 3 \, a^{2} b d^{3}\right)} x}{6 \, {\left(b^{7} x^{3} + 3 \, a b^{6} x^{2} + 3 \, a^{2} b^{5} x + a^{3} b^{4}\right)}} + \frac{d^{3} \log\left(b x + a\right)}{b^{4}}"," ",0,"-1/6*(2*b^3*c^3 + 3*a*b^2*c^2*d + 6*a^2*b*c*d^2 - 11*a^3*d^3 + 18*(b^3*c*d^2 - a*b^2*d^3)*x^2 + 9*(b^3*c^2*d + 2*a*b^2*c*d^2 - 3*a^2*b*d^3)*x)/(b^7*x^3 + 3*a*b^6*x^2 + 3*a^2*b^5*x + a^3*b^4) + d^3*log(b*x + a)/b^4","A",0
1268,1,143,0,1.391687," ","integrate((d*x+c)^3/(b*x+a)^5,x, algorithm=""maxima"")","-\frac{4 \, b^{3} d^{3} x^{3} + b^{3} c^{3} + a b^{2} c^{2} d + a^{2} b c d^{2} + a^{3} d^{3} + 6 \, {\left(b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 4 \, {\left(b^{3} c^{2} d + a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{4 \, {\left(b^{8} x^{4} + 4 \, a b^{7} x^{3} + 6 \, a^{2} b^{6} x^{2} + 4 \, a^{3} b^{5} x + a^{4} b^{4}\right)}}"," ",0,"-1/4*(4*b^3*d^3*x^3 + b^3*c^3 + a*b^2*c^2*d + a^2*b*c*d^2 + a^3*d^3 + 6*(b^3*c*d^2 + a*b^2*d^3)*x^2 + 4*(b^3*c^2*d + a*b^2*c*d^2 + a^2*b*d^3)*x)/(b^8*x^4 + 4*a*b^7*x^3 + 6*a^2*b^6*x^2 + 4*a^3*b^5*x + a^4*b^4)","B",0
1269,1,160,0,1.466709," ","integrate((d*x+c)^3/(b*x+a)^6,x, algorithm=""maxima"")","-\frac{10 \, b^{3} d^{3} x^{3} + 4 \, b^{3} c^{3} + 3 \, a b^{2} c^{2} d + 2 \, a^{2} b c d^{2} + a^{3} d^{3} + 10 \, {\left(2 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 5 \, {\left(3 \, b^{3} c^{2} d + 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{20 \, {\left(b^{9} x^{5} + 5 \, a b^{8} x^{4} + 10 \, a^{2} b^{7} x^{3} + 10 \, a^{3} b^{6} x^{2} + 5 \, a^{4} b^{5} x + a^{5} b^{4}\right)}}"," ",0,"-1/20*(10*b^3*d^3*x^3 + 4*b^3*c^3 + 3*a*b^2*c^2*d + 2*a^2*b*c*d^2 + a^3*d^3 + 10*(2*b^3*c*d^2 + a*b^2*d^3)*x^2 + 5*(3*b^3*c^2*d + 2*a*b^2*c*d^2 + a^2*b*d^3)*x)/(b^9*x^5 + 5*a*b^8*x^4 + 10*a^2*b^7*x^3 + 10*a^3*b^6*x^2 + 5*a^4*b^5*x + a^5*b^4)","B",0
1270,1,171,0,1.439263," ","integrate((d*x+c)^3/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{20 \, b^{3} d^{3} x^{3} + 10 \, b^{3} c^{3} + 6 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} + a^{3} d^{3} + 15 \, {\left(3 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 6 \, {\left(6 \, b^{3} c^{2} d + 3 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{60 \, {\left(b^{10} x^{6} + 6 \, a b^{9} x^{5} + 15 \, a^{2} b^{8} x^{4} + 20 \, a^{3} b^{7} x^{3} + 15 \, a^{4} b^{6} x^{2} + 6 \, a^{5} b^{5} x + a^{6} b^{4}\right)}}"," ",0,"-1/60*(20*b^3*d^3*x^3 + 10*b^3*c^3 + 6*a*b^2*c^2*d + 3*a^2*b*c*d^2 + a^3*d^3 + 15*(3*b^3*c*d^2 + a*b^2*d^3)*x^2 + 6*(6*b^3*c^2*d + 3*a*b^2*c*d^2 + a^2*b*d^3)*x)/(b^10*x^6 + 6*a*b^9*x^5 + 15*a^2*b^8*x^4 + 20*a^3*b^7*x^3 + 15*a^4*b^6*x^2 + 6*a^5*b^5*x + a^6*b^4)","B",0
1271,1,182,0,1.445385," ","integrate((d*x+c)^3/(b*x+a)^8,x, algorithm=""maxima"")","-\frac{35 \, b^{3} d^{3} x^{3} + 20 \, b^{3} c^{3} + 10 \, a b^{2} c^{2} d + 4 \, a^{2} b c d^{2} + a^{3} d^{3} + 21 \, {\left(4 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 7 \, {\left(10 \, b^{3} c^{2} d + 4 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{140 \, {\left(b^{11} x^{7} + 7 \, a b^{10} x^{6} + 21 \, a^{2} b^{9} x^{5} + 35 \, a^{3} b^{8} x^{4} + 35 \, a^{4} b^{7} x^{3} + 21 \, a^{5} b^{6} x^{2} + 7 \, a^{6} b^{5} x + a^{7} b^{4}\right)}}"," ",0,"-1/140*(35*b^3*d^3*x^3 + 20*b^3*c^3 + 10*a*b^2*c^2*d + 4*a^2*b*c*d^2 + a^3*d^3 + 21*(4*b^3*c*d^2 + a*b^2*d^3)*x^2 + 7*(10*b^3*c^2*d + 4*a*b^2*c*d^2 + a^2*b*d^3)*x)/(b^11*x^7 + 7*a*b^10*x^6 + 21*a^2*b^9*x^5 + 35*a^3*b^8*x^4 + 35*a^4*b^7*x^3 + 21*a^5*b^6*x^2 + 7*a^6*b^5*x + a^7*b^4)","B",0
1272,1,193,0,1.522046," ","integrate((d*x+c)^3/(b*x+a)^9,x, algorithm=""maxima"")","-\frac{56 \, b^{3} d^{3} x^{3} + 35 \, b^{3} c^{3} + 15 \, a b^{2} c^{2} d + 5 \, a^{2} b c d^{2} + a^{3} d^{3} + 28 \, {\left(5 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 8 \, {\left(15 \, b^{3} c^{2} d + 5 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{280 \, {\left(b^{12} x^{8} + 8 \, a b^{11} x^{7} + 28 \, a^{2} b^{10} x^{6} + 56 \, a^{3} b^{9} x^{5} + 70 \, a^{4} b^{8} x^{4} + 56 \, a^{5} b^{7} x^{3} + 28 \, a^{6} b^{6} x^{2} + 8 \, a^{7} b^{5} x + a^{8} b^{4}\right)}}"," ",0,"-1/280*(56*b^3*d^3*x^3 + 35*b^3*c^3 + 15*a*b^2*c^2*d + 5*a^2*b*c*d^2 + a^3*d^3 + 28*(5*b^3*c*d^2 + a*b^2*d^3)*x^2 + 8*(15*b^3*c^2*d + 5*a*b^2*c*d^2 + a^2*b*d^3)*x)/(b^12*x^8 + 8*a*b^11*x^7 + 28*a^2*b^10*x^6 + 56*a^3*b^9*x^5 + 70*a^4*b^8*x^4 + 56*a^5*b^7*x^3 + 28*a^6*b^6*x^2 + 8*a^7*b^5*x + a^8*b^4)","B",0
1273,1,1023,0,1.430614," ","integrate((b*x+a)^9*(d*x+c)^7,x, algorithm=""maxima"")","\frac{1}{17} \, b^{9} d^{7} x^{17} + a^{9} c^{7} x + \frac{1}{16} \, {\left(7 \, b^{9} c d^{6} + 9 \, a b^{8} d^{7}\right)} x^{16} + \frac{1}{5} \, {\left(7 \, b^{9} c^{2} d^{5} + 21 \, a b^{8} c d^{6} + 12 \, a^{2} b^{7} d^{7}\right)} x^{15} + \frac{1}{2} \, {\left(5 \, b^{9} c^{3} d^{4} + 27 \, a b^{8} c^{2} d^{5} + 36 \, a^{2} b^{7} c d^{6} + 12 \, a^{3} b^{6} d^{7}\right)} x^{14} + \frac{7}{13} \, {\left(5 \, b^{9} c^{4} d^{3} + 45 \, a b^{8} c^{3} d^{4} + 108 \, a^{2} b^{7} c^{2} d^{5} + 84 \, a^{3} b^{6} c d^{6} + 18 \, a^{4} b^{5} d^{7}\right)} x^{13} + \frac{7}{4} \, {\left(b^{9} c^{5} d^{2} + 15 \, a b^{8} c^{4} d^{3} + 60 \, a^{2} b^{7} c^{3} d^{4} + 84 \, a^{3} b^{6} c^{2} d^{5} + 42 \, a^{4} b^{5} c d^{6} + 6 \, a^{5} b^{4} d^{7}\right)} x^{12} + \frac{7}{11} \, {\left(b^{9} c^{6} d + 27 \, a b^{8} c^{5} d^{2} + 180 \, a^{2} b^{7} c^{4} d^{3} + 420 \, a^{3} b^{6} c^{3} d^{4} + 378 \, a^{4} b^{5} c^{2} d^{5} + 126 \, a^{5} b^{4} c d^{6} + 12 \, a^{6} b^{3} d^{7}\right)} x^{11} + \frac{1}{10} \, {\left(b^{9} c^{7} + 63 \, a b^{8} c^{6} d + 756 \, a^{2} b^{7} c^{5} d^{2} + 2940 \, a^{3} b^{6} c^{4} d^{3} + 4410 \, a^{4} b^{5} c^{3} d^{4} + 2646 \, a^{5} b^{4} c^{2} d^{5} + 588 \, a^{6} b^{3} c d^{6} + 36 \, a^{7} b^{2} d^{7}\right)} x^{10} + {\left(a b^{8} c^{7} + 28 \, a^{2} b^{7} c^{6} d + 196 \, a^{3} b^{6} c^{5} d^{2} + 490 \, a^{4} b^{5} c^{4} d^{3} + 490 \, a^{5} b^{4} c^{3} d^{4} + 196 \, a^{6} b^{3} c^{2} d^{5} + 28 \, a^{7} b^{2} c d^{6} + a^{8} b d^{7}\right)} x^{9} + \frac{1}{8} \, {\left(36 \, a^{2} b^{7} c^{7} + 588 \, a^{3} b^{6} c^{6} d + 2646 \, a^{4} b^{5} c^{5} d^{2} + 4410 \, a^{5} b^{4} c^{4} d^{3} + 2940 \, a^{6} b^{3} c^{3} d^{4} + 756 \, a^{7} b^{2} c^{2} d^{5} + 63 \, a^{8} b c d^{6} + a^{9} d^{7}\right)} x^{8} + {\left(12 \, a^{3} b^{6} c^{7} + 126 \, a^{4} b^{5} c^{6} d + 378 \, a^{5} b^{4} c^{5} d^{2} + 420 \, a^{6} b^{3} c^{4} d^{3} + 180 \, a^{7} b^{2} c^{3} d^{4} + 27 \, a^{8} b c^{2} d^{5} + a^{9} c d^{6}\right)} x^{7} + \frac{7}{2} \, {\left(6 \, a^{4} b^{5} c^{7} + 42 \, a^{5} b^{4} c^{6} d + 84 \, a^{6} b^{3} c^{5} d^{2} + 60 \, a^{7} b^{2} c^{4} d^{3} + 15 \, a^{8} b c^{3} d^{4} + a^{9} c^{2} d^{5}\right)} x^{6} + \frac{7}{5} \, {\left(18 \, a^{5} b^{4} c^{7} + 84 \, a^{6} b^{3} c^{6} d + 108 \, a^{7} b^{2} c^{5} d^{2} + 45 \, a^{8} b c^{4} d^{3} + 5 \, a^{9} c^{3} d^{4}\right)} x^{5} + \frac{7}{4} \, {\left(12 \, a^{6} b^{3} c^{7} + 36 \, a^{7} b^{2} c^{6} d + 27 \, a^{8} b c^{5} d^{2} + 5 \, a^{9} c^{4} d^{3}\right)} x^{4} + {\left(12 \, a^{7} b^{2} c^{7} + 21 \, a^{8} b c^{6} d + 7 \, a^{9} c^{5} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(9 \, a^{8} b c^{7} + 7 \, a^{9} c^{6} d\right)} x^{2}"," ",0,"1/17*b^9*d^7*x^17 + a^9*c^7*x + 1/16*(7*b^9*c*d^6 + 9*a*b^8*d^7)*x^16 + 1/5*(7*b^9*c^2*d^5 + 21*a*b^8*c*d^6 + 12*a^2*b^7*d^7)*x^15 + 1/2*(5*b^9*c^3*d^4 + 27*a*b^8*c^2*d^5 + 36*a^2*b^7*c*d^6 + 12*a^3*b^6*d^7)*x^14 + 7/13*(5*b^9*c^4*d^3 + 45*a*b^8*c^3*d^4 + 108*a^2*b^7*c^2*d^5 + 84*a^3*b^6*c*d^6 + 18*a^4*b^5*d^7)*x^13 + 7/4*(b^9*c^5*d^2 + 15*a*b^8*c^4*d^3 + 60*a^2*b^7*c^3*d^4 + 84*a^3*b^6*c^2*d^5 + 42*a^4*b^5*c*d^6 + 6*a^5*b^4*d^7)*x^12 + 7/11*(b^9*c^6*d + 27*a*b^8*c^5*d^2 + 180*a^2*b^7*c^4*d^3 + 420*a^3*b^6*c^3*d^4 + 378*a^4*b^5*c^2*d^5 + 126*a^5*b^4*c*d^6 + 12*a^6*b^3*d^7)*x^11 + 1/10*(b^9*c^7 + 63*a*b^8*c^6*d + 756*a^2*b^7*c^5*d^2 + 2940*a^3*b^6*c^4*d^3 + 4410*a^4*b^5*c^3*d^4 + 2646*a^5*b^4*c^2*d^5 + 588*a^6*b^3*c*d^6 + 36*a^7*b^2*d^7)*x^10 + (a*b^8*c^7 + 28*a^2*b^7*c^6*d + 196*a^3*b^6*c^5*d^2 + 490*a^4*b^5*c^4*d^3 + 490*a^5*b^4*c^3*d^4 + 196*a^6*b^3*c^2*d^5 + 28*a^7*b^2*c*d^6 + a^8*b*d^7)*x^9 + 1/8*(36*a^2*b^7*c^7 + 588*a^3*b^6*c^6*d + 2646*a^4*b^5*c^5*d^2 + 4410*a^5*b^4*c^4*d^3 + 2940*a^6*b^3*c^3*d^4 + 756*a^7*b^2*c^2*d^5 + 63*a^8*b*c*d^6 + a^9*d^7)*x^8 + (12*a^3*b^6*c^7 + 126*a^4*b^5*c^6*d + 378*a^5*b^4*c^5*d^2 + 420*a^6*b^3*c^4*d^3 + 180*a^7*b^2*c^3*d^4 + 27*a^8*b*c^2*d^5 + a^9*c*d^6)*x^7 + 7/2*(6*a^4*b^5*c^7 + 42*a^5*b^4*c^6*d + 84*a^6*b^3*c^5*d^2 + 60*a^7*b^2*c^4*d^3 + 15*a^8*b*c^3*d^4 + a^9*c^2*d^5)*x^6 + 7/5*(18*a^5*b^4*c^7 + 84*a^6*b^3*c^6*d + 108*a^7*b^2*c^5*d^2 + 45*a^8*b*c^4*d^3 + 5*a^9*c^3*d^4)*x^5 + 7/4*(12*a^6*b^3*c^7 + 36*a^7*b^2*c^6*d + 27*a^8*b*c^5*d^2 + 5*a^9*c^4*d^3)*x^4 + (12*a^7*b^2*c^7 + 21*a^8*b*c^6*d + 7*a^9*c^5*d^2)*x^3 + 1/2*(9*a^8*b*c^7 + 7*a^9*c^6*d)*x^2","B",0
1274,1,921,0,1.396365," ","integrate((b*x+a)^8*(d*x+c)^7,x, algorithm=""maxima"")","\frac{1}{16} \, b^{8} d^{7} x^{16} + a^{8} c^{7} x + \frac{1}{15} \, {\left(7 \, b^{8} c d^{6} + 8 \, a b^{7} d^{7}\right)} x^{15} + \frac{1}{2} \, {\left(3 \, b^{8} c^{2} d^{5} + 8 \, a b^{7} c d^{6} + 4 \, a^{2} b^{6} d^{7}\right)} x^{14} + \frac{7}{13} \, {\left(5 \, b^{8} c^{3} d^{4} + 24 \, a b^{7} c^{2} d^{5} + 28 \, a^{2} b^{6} c d^{6} + 8 \, a^{3} b^{5} d^{7}\right)} x^{13} + \frac{7}{12} \, {\left(5 \, b^{8} c^{4} d^{3} + 40 \, a b^{7} c^{3} d^{4} + 84 \, a^{2} b^{6} c^{2} d^{5} + 56 \, a^{3} b^{5} c d^{6} + 10 \, a^{4} b^{4} d^{7}\right)} x^{12} + \frac{7}{11} \, {\left(3 \, b^{8} c^{5} d^{2} + 40 \, a b^{7} c^{4} d^{3} + 140 \, a^{2} b^{6} c^{3} d^{4} + 168 \, a^{3} b^{5} c^{2} d^{5} + 70 \, a^{4} b^{4} c d^{6} + 8 \, a^{5} b^{3} d^{7}\right)} x^{11} + \frac{7}{10} \, {\left(b^{8} c^{6} d + 24 \, a b^{7} c^{5} d^{2} + 140 \, a^{2} b^{6} c^{4} d^{3} + 280 \, a^{3} b^{5} c^{3} d^{4} + 210 \, a^{4} b^{4} c^{2} d^{5} + 56 \, a^{5} b^{3} c d^{6} + 4 \, a^{6} b^{2} d^{7}\right)} x^{10} + \frac{1}{9} \, {\left(b^{8} c^{7} + 56 \, a b^{7} c^{6} d + 588 \, a^{2} b^{6} c^{5} d^{2} + 1960 \, a^{3} b^{5} c^{4} d^{3} + 2450 \, a^{4} b^{4} c^{3} d^{4} + 1176 \, a^{5} b^{3} c^{2} d^{5} + 196 \, a^{6} b^{2} c d^{6} + 8 \, a^{7} b d^{7}\right)} x^{9} + \frac{1}{8} \, {\left(8 \, a b^{7} c^{7} + 196 \, a^{2} b^{6} c^{6} d + 1176 \, a^{3} b^{5} c^{5} d^{2} + 2450 \, a^{4} b^{4} c^{4} d^{3} + 1960 \, a^{5} b^{3} c^{3} d^{4} + 588 \, a^{6} b^{2} c^{2} d^{5} + 56 \, a^{7} b c d^{6} + a^{8} d^{7}\right)} x^{8} + {\left(4 \, a^{2} b^{6} c^{7} + 56 \, a^{3} b^{5} c^{6} d + 210 \, a^{4} b^{4} c^{5} d^{2} + 280 \, a^{5} b^{3} c^{4} d^{3} + 140 \, a^{6} b^{2} c^{3} d^{4} + 24 \, a^{7} b c^{2} d^{5} + a^{8} c d^{6}\right)} x^{7} + \frac{7}{6} \, {\left(8 \, a^{3} b^{5} c^{7} + 70 \, a^{4} b^{4} c^{6} d + 168 \, a^{5} b^{3} c^{5} d^{2} + 140 \, a^{6} b^{2} c^{4} d^{3} + 40 \, a^{7} b c^{3} d^{4} + 3 \, a^{8} c^{2} d^{5}\right)} x^{6} + \frac{7}{5} \, {\left(10 \, a^{4} b^{4} c^{7} + 56 \, a^{5} b^{3} c^{6} d + 84 \, a^{6} b^{2} c^{5} d^{2} + 40 \, a^{7} b c^{4} d^{3} + 5 \, a^{8} c^{3} d^{4}\right)} x^{5} + \frac{7}{4} \, {\left(8 \, a^{5} b^{3} c^{7} + 28 \, a^{6} b^{2} c^{6} d + 24 \, a^{7} b c^{5} d^{2} + 5 \, a^{8} c^{4} d^{3}\right)} x^{4} + \frac{7}{3} \, {\left(4 \, a^{6} b^{2} c^{7} + 8 \, a^{7} b c^{6} d + 3 \, a^{8} c^{5} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(8 \, a^{7} b c^{7} + 7 \, a^{8} c^{6} d\right)} x^{2}"," ",0,"1/16*b^8*d^7*x^16 + a^8*c^7*x + 1/15*(7*b^8*c*d^6 + 8*a*b^7*d^7)*x^15 + 1/2*(3*b^8*c^2*d^5 + 8*a*b^7*c*d^6 + 4*a^2*b^6*d^7)*x^14 + 7/13*(5*b^8*c^3*d^4 + 24*a*b^7*c^2*d^5 + 28*a^2*b^6*c*d^6 + 8*a^3*b^5*d^7)*x^13 + 7/12*(5*b^8*c^4*d^3 + 40*a*b^7*c^3*d^4 + 84*a^2*b^6*c^2*d^5 + 56*a^3*b^5*c*d^6 + 10*a^4*b^4*d^7)*x^12 + 7/11*(3*b^8*c^5*d^2 + 40*a*b^7*c^4*d^3 + 140*a^2*b^6*c^3*d^4 + 168*a^3*b^5*c^2*d^5 + 70*a^4*b^4*c*d^6 + 8*a^5*b^3*d^7)*x^11 + 7/10*(b^8*c^6*d + 24*a*b^7*c^5*d^2 + 140*a^2*b^6*c^4*d^3 + 280*a^3*b^5*c^3*d^4 + 210*a^4*b^4*c^2*d^5 + 56*a^5*b^3*c*d^6 + 4*a^6*b^2*d^7)*x^10 + 1/9*(b^8*c^7 + 56*a*b^7*c^6*d + 588*a^2*b^6*c^5*d^2 + 1960*a^3*b^5*c^4*d^3 + 2450*a^4*b^4*c^3*d^4 + 1176*a^5*b^3*c^2*d^5 + 196*a^6*b^2*c*d^6 + 8*a^7*b*d^7)*x^9 + 1/8*(8*a*b^7*c^7 + 196*a^2*b^6*c^6*d + 1176*a^3*b^5*c^5*d^2 + 2450*a^4*b^4*c^4*d^3 + 1960*a^5*b^3*c^3*d^4 + 588*a^6*b^2*c^2*d^5 + 56*a^7*b*c*d^6 + a^8*d^7)*x^8 + (4*a^2*b^6*c^7 + 56*a^3*b^5*c^6*d + 210*a^4*b^4*c^5*d^2 + 280*a^5*b^3*c^4*d^3 + 140*a^6*b^2*c^3*d^4 + 24*a^7*b*c^2*d^5 + a^8*c*d^6)*x^7 + 7/6*(8*a^3*b^5*c^7 + 70*a^4*b^4*c^6*d + 168*a^5*b^3*c^5*d^2 + 140*a^6*b^2*c^4*d^3 + 40*a^7*b*c^3*d^4 + 3*a^8*c^2*d^5)*x^6 + 7/5*(10*a^4*b^4*c^7 + 56*a^5*b^3*c^6*d + 84*a^6*b^2*c^5*d^2 + 40*a^7*b*c^4*d^3 + 5*a^8*c^3*d^4)*x^5 + 7/4*(8*a^5*b^3*c^7 + 28*a^6*b^2*c^6*d + 24*a^7*b*c^5*d^2 + 5*a^8*c^4*d^3)*x^4 + 7/3*(4*a^6*b^2*c^7 + 8*a^7*b*c^6*d + 3*a^8*c^5*d^2)*x^3 + 1/2*(8*a^7*b*c^7 + 7*a^8*c^6*d)*x^2","B",0
1275,1,807,0,1.334761," ","integrate((b*x+a)^7*(d*x+c)^7,x, algorithm=""maxima"")","\frac{1}{15} \, b^{7} d^{7} x^{15} + a^{7} c^{7} x + \frac{1}{2} \, {\left(b^{7} c d^{6} + a b^{6} d^{7}\right)} x^{14} + \frac{7}{13} \, {\left(3 \, b^{7} c^{2} d^{5} + 7 \, a b^{6} c d^{6} + 3 \, a^{2} b^{5} d^{7}\right)} x^{13} + \frac{7}{12} \, {\left(5 \, b^{7} c^{3} d^{4} + 21 \, a b^{6} c^{2} d^{5} + 21 \, a^{2} b^{5} c d^{6} + 5 \, a^{3} b^{4} d^{7}\right)} x^{12} + \frac{7}{11} \, {\left(5 \, b^{7} c^{4} d^{3} + 35 \, a b^{6} c^{3} d^{4} + 63 \, a^{2} b^{5} c^{2} d^{5} + 35 \, a^{3} b^{4} c d^{6} + 5 \, a^{4} b^{3} d^{7}\right)} x^{11} + \frac{7}{10} \, {\left(3 \, b^{7} c^{5} d^{2} + 35 \, a b^{6} c^{4} d^{3} + 105 \, a^{2} b^{5} c^{3} d^{4} + 105 \, a^{3} b^{4} c^{2} d^{5} + 35 \, a^{4} b^{3} c d^{6} + 3 \, a^{5} b^{2} d^{7}\right)} x^{10} + \frac{7}{9} \, {\left(b^{7} c^{6} d + 21 \, a b^{6} c^{5} d^{2} + 105 \, a^{2} b^{5} c^{4} d^{3} + 175 \, a^{3} b^{4} c^{3} d^{4} + 105 \, a^{4} b^{3} c^{2} d^{5} + 21 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x^{9} + \frac{1}{8} \, {\left(b^{7} c^{7} + 49 \, a b^{6} c^{6} d + 441 \, a^{2} b^{5} c^{5} d^{2} + 1225 \, a^{3} b^{4} c^{4} d^{3} + 1225 \, a^{4} b^{3} c^{3} d^{4} + 441 \, a^{5} b^{2} c^{2} d^{5} + 49 \, a^{6} b c d^{6} + a^{7} d^{7}\right)} x^{8} + {\left(a b^{6} c^{7} + 21 \, a^{2} b^{5} c^{6} d + 105 \, a^{3} b^{4} c^{5} d^{2} + 175 \, a^{4} b^{3} c^{4} d^{3} + 105 \, a^{5} b^{2} c^{3} d^{4} + 21 \, a^{6} b c^{2} d^{5} + a^{7} c d^{6}\right)} x^{7} + \frac{7}{6} \, {\left(3 \, a^{2} b^{5} c^{7} + 35 \, a^{3} b^{4} c^{6} d + 105 \, a^{4} b^{3} c^{5} d^{2} + 105 \, a^{5} b^{2} c^{4} d^{3} + 35 \, a^{6} b c^{3} d^{4} + 3 \, a^{7} c^{2} d^{5}\right)} x^{6} + \frac{7}{5} \, {\left(5 \, a^{3} b^{4} c^{7} + 35 \, a^{4} b^{3} c^{6} d + 63 \, a^{5} b^{2} c^{5} d^{2} + 35 \, a^{6} b c^{4} d^{3} + 5 \, a^{7} c^{3} d^{4}\right)} x^{5} + \frac{7}{4} \, {\left(5 \, a^{4} b^{3} c^{7} + 21 \, a^{5} b^{2} c^{6} d + 21 \, a^{6} b c^{5} d^{2} + 5 \, a^{7} c^{4} d^{3}\right)} x^{4} + \frac{7}{3} \, {\left(3 \, a^{5} b^{2} c^{7} + 7 \, a^{6} b c^{6} d + 3 \, a^{7} c^{5} d^{2}\right)} x^{3} + \frac{7}{2} \, {\left(a^{6} b c^{7} + a^{7} c^{6} d\right)} x^{2}"," ",0,"1/15*b^7*d^7*x^15 + a^7*c^7*x + 1/2*(b^7*c*d^6 + a*b^6*d^7)*x^14 + 7/13*(3*b^7*c^2*d^5 + 7*a*b^6*c*d^6 + 3*a^2*b^5*d^7)*x^13 + 7/12*(5*b^7*c^3*d^4 + 21*a*b^6*c^2*d^5 + 21*a^2*b^5*c*d^6 + 5*a^3*b^4*d^7)*x^12 + 7/11*(5*b^7*c^4*d^3 + 35*a*b^6*c^3*d^4 + 63*a^2*b^5*c^2*d^5 + 35*a^3*b^4*c*d^6 + 5*a^4*b^3*d^7)*x^11 + 7/10*(3*b^7*c^5*d^2 + 35*a*b^6*c^4*d^3 + 105*a^2*b^5*c^3*d^4 + 105*a^3*b^4*c^2*d^5 + 35*a^4*b^3*c*d^6 + 3*a^5*b^2*d^7)*x^10 + 7/9*(b^7*c^6*d + 21*a*b^6*c^5*d^2 + 105*a^2*b^5*c^4*d^3 + 175*a^3*b^4*c^3*d^4 + 105*a^4*b^3*c^2*d^5 + 21*a^5*b^2*c*d^6 + a^6*b*d^7)*x^9 + 1/8*(b^7*c^7 + 49*a*b^6*c^6*d + 441*a^2*b^5*c^5*d^2 + 1225*a^3*b^4*c^4*d^3 + 1225*a^4*b^3*c^3*d^4 + 441*a^5*b^2*c^2*d^5 + 49*a^6*b*c*d^6 + a^7*d^7)*x^8 + (a*b^6*c^7 + 21*a^2*b^5*c^6*d + 105*a^3*b^4*c^5*d^2 + 175*a^4*b^3*c^4*d^3 + 105*a^5*b^2*c^3*d^4 + 21*a^6*b*c^2*d^5 + a^7*c*d^6)*x^7 + 7/6*(3*a^2*b^5*c^7 + 35*a^3*b^4*c^6*d + 105*a^4*b^3*c^5*d^2 + 105*a^5*b^2*c^4*d^3 + 35*a^6*b*c^3*d^4 + 3*a^7*c^2*d^5)*x^6 + 7/5*(5*a^3*b^4*c^7 + 35*a^4*b^3*c^6*d + 63*a^5*b^2*c^5*d^2 + 35*a^6*b*c^4*d^3 + 5*a^7*c^3*d^4)*x^5 + 7/4*(5*a^4*b^3*c^7 + 21*a^5*b^2*c^6*d + 21*a^6*b*c^5*d^2 + 5*a^7*c^4*d^3)*x^4 + 7/3*(3*a^5*b^2*c^7 + 7*a^6*b*c^6*d + 3*a^7*c^5*d^2)*x^3 + 7/2*(a^6*b*c^7 + a^7*c^6*d)*x^2","B",0
1276,1,706,0,1.317350," ","integrate((b*x+a)^6*(d*x+c)^7,x, algorithm=""maxima"")","\frac{1}{14} \, b^{6} d^{7} x^{14} + a^{6} c^{7} x + \frac{1}{13} \, {\left(7 \, b^{6} c d^{6} + 6 \, a b^{5} d^{7}\right)} x^{13} + \frac{1}{4} \, {\left(7 \, b^{6} c^{2} d^{5} + 14 \, a b^{5} c d^{6} + 5 \, a^{2} b^{4} d^{7}\right)} x^{12} + \frac{1}{11} \, {\left(35 \, b^{6} c^{3} d^{4} + 126 \, a b^{5} c^{2} d^{5} + 105 \, a^{2} b^{4} c d^{6} + 20 \, a^{3} b^{3} d^{7}\right)} x^{11} + \frac{1}{2} \, {\left(7 \, b^{6} c^{4} d^{3} + 42 \, a b^{5} c^{3} d^{4} + 63 \, a^{2} b^{4} c^{2} d^{5} + 28 \, a^{3} b^{3} c d^{6} + 3 \, a^{4} b^{2} d^{7}\right)} x^{10} + \frac{1}{3} \, {\left(7 \, b^{6} c^{5} d^{2} + 70 \, a b^{5} c^{4} d^{3} + 175 \, a^{2} b^{4} c^{3} d^{4} + 140 \, a^{3} b^{3} c^{2} d^{5} + 35 \, a^{4} b^{2} c d^{6} + 2 \, a^{5} b d^{7}\right)} x^{9} + \frac{1}{8} \, {\left(7 \, b^{6} c^{6} d + 126 \, a b^{5} c^{5} d^{2} + 525 \, a^{2} b^{4} c^{4} d^{3} + 700 \, a^{3} b^{3} c^{3} d^{4} + 315 \, a^{4} b^{2} c^{2} d^{5} + 42 \, a^{5} b c d^{6} + a^{6} d^{7}\right)} x^{8} + \frac{1}{7} \, {\left(b^{6} c^{7} + 42 \, a b^{5} c^{6} d + 315 \, a^{2} b^{4} c^{5} d^{2} + 700 \, a^{3} b^{3} c^{4} d^{3} + 525 \, a^{4} b^{2} c^{3} d^{4} + 126 \, a^{5} b c^{2} d^{5} + 7 \, a^{6} c d^{6}\right)} x^{7} + \frac{1}{2} \, {\left(2 \, a b^{5} c^{7} + 35 \, a^{2} b^{4} c^{6} d + 140 \, a^{3} b^{3} c^{5} d^{2} + 175 \, a^{4} b^{2} c^{4} d^{3} + 70 \, a^{5} b c^{3} d^{4} + 7 \, a^{6} c^{2} d^{5}\right)} x^{6} + {\left(3 \, a^{2} b^{4} c^{7} + 28 \, a^{3} b^{3} c^{6} d + 63 \, a^{4} b^{2} c^{5} d^{2} + 42 \, a^{5} b c^{4} d^{3} + 7 \, a^{6} c^{3} d^{4}\right)} x^{5} + \frac{1}{4} \, {\left(20 \, a^{3} b^{3} c^{7} + 105 \, a^{4} b^{2} c^{6} d + 126 \, a^{5} b c^{5} d^{2} + 35 \, a^{6} c^{4} d^{3}\right)} x^{4} + {\left(5 \, a^{4} b^{2} c^{7} + 14 \, a^{5} b c^{6} d + 7 \, a^{6} c^{5} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(6 \, a^{5} b c^{7} + 7 \, a^{6} c^{6} d\right)} x^{2}"," ",0,"1/14*b^6*d^7*x^14 + a^6*c^7*x + 1/13*(7*b^6*c*d^6 + 6*a*b^5*d^7)*x^13 + 1/4*(7*b^6*c^2*d^5 + 14*a*b^5*c*d^6 + 5*a^2*b^4*d^7)*x^12 + 1/11*(35*b^6*c^3*d^4 + 126*a*b^5*c^2*d^5 + 105*a^2*b^4*c*d^6 + 20*a^3*b^3*d^7)*x^11 + 1/2*(7*b^6*c^4*d^3 + 42*a*b^5*c^3*d^4 + 63*a^2*b^4*c^2*d^5 + 28*a^3*b^3*c*d^6 + 3*a^4*b^2*d^7)*x^10 + 1/3*(7*b^6*c^5*d^2 + 70*a*b^5*c^4*d^3 + 175*a^2*b^4*c^3*d^4 + 140*a^3*b^3*c^2*d^5 + 35*a^4*b^2*c*d^6 + 2*a^5*b*d^7)*x^9 + 1/8*(7*b^6*c^6*d + 126*a*b^5*c^5*d^2 + 525*a^2*b^4*c^4*d^3 + 700*a^3*b^3*c^3*d^4 + 315*a^4*b^2*c^2*d^5 + 42*a^5*b*c*d^6 + a^6*d^7)*x^8 + 1/7*(b^6*c^7 + 42*a*b^5*c^6*d + 315*a^2*b^4*c^5*d^2 + 700*a^3*b^3*c^4*d^3 + 525*a^4*b^2*c^3*d^4 + 126*a^5*b*c^2*d^5 + 7*a^6*c*d^6)*x^7 + 1/2*(2*a*b^5*c^7 + 35*a^2*b^4*c^6*d + 140*a^3*b^3*c^5*d^2 + 175*a^4*b^2*c^4*d^3 + 70*a^5*b*c^3*d^4 + 7*a^6*c^2*d^5)*x^6 + (3*a^2*b^4*c^7 + 28*a^3*b^3*c^6*d + 63*a^4*b^2*c^5*d^2 + 42*a^5*b*c^4*d^3 + 7*a^6*c^3*d^4)*x^5 + 1/4*(20*a^3*b^3*c^7 + 105*a^4*b^2*c^6*d + 126*a^5*b*c^5*d^2 + 35*a^6*c^4*d^3)*x^4 + (5*a^4*b^2*c^7 + 14*a^5*b*c^6*d + 7*a^6*c^5*d^2)*x^3 + 1/2*(6*a^5*b*c^7 + 7*a^6*c^6*d)*x^2","B",0
1277,1,594,0,1.383801," ","integrate((b*x+a)^5*(d*x+c)^7,x, algorithm=""maxima"")","\frac{1}{13} \, b^{5} d^{7} x^{13} + a^{5} c^{7} x + \frac{1}{12} \, {\left(7 \, b^{5} c d^{6} + 5 \, a b^{4} d^{7}\right)} x^{12} + \frac{1}{11} \, {\left(21 \, b^{5} c^{2} d^{5} + 35 \, a b^{4} c d^{6} + 10 \, a^{2} b^{3} d^{7}\right)} x^{11} + \frac{1}{2} \, {\left(7 \, b^{5} c^{3} d^{4} + 21 \, a b^{4} c^{2} d^{5} + 14 \, a^{2} b^{3} c d^{6} + 2 \, a^{3} b^{2} d^{7}\right)} x^{10} + \frac{5}{9} \, {\left(7 \, b^{5} c^{4} d^{3} + 35 \, a b^{4} c^{3} d^{4} + 42 \, a^{2} b^{3} c^{2} d^{5} + 14 \, a^{3} b^{2} c d^{6} + a^{4} b d^{7}\right)} x^{9} + \frac{1}{8} \, {\left(21 \, b^{5} c^{5} d^{2} + 175 \, a b^{4} c^{4} d^{3} + 350 \, a^{2} b^{3} c^{3} d^{4} + 210 \, a^{3} b^{2} c^{2} d^{5} + 35 \, a^{4} b c d^{6} + a^{5} d^{7}\right)} x^{8} + {\left(b^{5} c^{6} d + 15 \, a b^{4} c^{5} d^{2} + 50 \, a^{2} b^{3} c^{4} d^{3} + 50 \, a^{3} b^{2} c^{3} d^{4} + 15 \, a^{4} b c^{2} d^{5} + a^{5} c d^{6}\right)} x^{7} + \frac{1}{6} \, {\left(b^{5} c^{7} + 35 \, a b^{4} c^{6} d + 210 \, a^{2} b^{3} c^{5} d^{2} + 350 \, a^{3} b^{2} c^{4} d^{3} + 175 \, a^{4} b c^{3} d^{4} + 21 \, a^{5} c^{2} d^{5}\right)} x^{6} + {\left(a b^{4} c^{7} + 14 \, a^{2} b^{3} c^{6} d + 42 \, a^{3} b^{2} c^{5} d^{2} + 35 \, a^{4} b c^{4} d^{3} + 7 \, a^{5} c^{3} d^{4}\right)} x^{5} + \frac{5}{4} \, {\left(2 \, a^{2} b^{3} c^{7} + 14 \, a^{3} b^{2} c^{6} d + 21 \, a^{4} b c^{5} d^{2} + 7 \, a^{5} c^{4} d^{3}\right)} x^{4} + \frac{1}{3} \, {\left(10 \, a^{3} b^{2} c^{7} + 35 \, a^{4} b c^{6} d + 21 \, a^{5} c^{5} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(5 \, a^{4} b c^{7} + 7 \, a^{5} c^{6} d\right)} x^{2}"," ",0,"1/13*b^5*d^7*x^13 + a^5*c^7*x + 1/12*(7*b^5*c*d^6 + 5*a*b^4*d^7)*x^12 + 1/11*(21*b^5*c^2*d^5 + 35*a*b^4*c*d^6 + 10*a^2*b^3*d^7)*x^11 + 1/2*(7*b^5*c^3*d^4 + 21*a*b^4*c^2*d^5 + 14*a^2*b^3*c*d^6 + 2*a^3*b^2*d^7)*x^10 + 5/9*(7*b^5*c^4*d^3 + 35*a*b^4*c^3*d^4 + 42*a^2*b^3*c^2*d^5 + 14*a^3*b^2*c*d^6 + a^4*b*d^7)*x^9 + 1/8*(21*b^5*c^5*d^2 + 175*a*b^4*c^4*d^3 + 350*a^2*b^3*c^3*d^4 + 210*a^3*b^2*c^2*d^5 + 35*a^4*b*c*d^6 + a^5*d^7)*x^8 + (b^5*c^6*d + 15*a*b^4*c^5*d^2 + 50*a^2*b^3*c^4*d^3 + 50*a^3*b^2*c^3*d^4 + 15*a^4*b*c^2*d^5 + a^5*c*d^6)*x^7 + 1/6*(b^5*c^7 + 35*a*b^4*c^6*d + 210*a^2*b^3*c^5*d^2 + 350*a^3*b^2*c^4*d^3 + 175*a^4*b*c^3*d^4 + 21*a^5*c^2*d^5)*x^6 + (a*b^4*c^7 + 14*a^2*b^3*c^6*d + 42*a^3*b^2*c^5*d^2 + 35*a^4*b*c^4*d^3 + 7*a^5*c^3*d^4)*x^5 + 5/4*(2*a^2*b^3*c^7 + 14*a^3*b^2*c^6*d + 21*a^4*b*c^5*d^2 + 7*a^5*c^4*d^3)*x^4 + 1/3*(10*a^3*b^2*c^7 + 35*a^4*b*c^6*d + 21*a^5*c^5*d^2)*x^3 + 1/2*(5*a^4*b*c^7 + 7*a^5*c^6*d)*x^2","B",0
1278,1,489,0,1.478990," ","integrate((b*x+a)^4*(d*x+c)^7,x, algorithm=""maxima"")","\frac{1}{12} \, b^{4} d^{7} x^{12} + a^{4} c^{7} x + \frac{1}{11} \, {\left(7 \, b^{4} c d^{6} + 4 \, a b^{3} d^{7}\right)} x^{11} + \frac{1}{10} \, {\left(21 \, b^{4} c^{2} d^{5} + 28 \, a b^{3} c d^{6} + 6 \, a^{2} b^{2} d^{7}\right)} x^{10} + \frac{1}{9} \, {\left(35 \, b^{4} c^{3} d^{4} + 84 \, a b^{3} c^{2} d^{5} + 42 \, a^{2} b^{2} c d^{6} + 4 \, a^{3} b d^{7}\right)} x^{9} + \frac{1}{8} \, {\left(35 \, b^{4} c^{4} d^{3} + 140 \, a b^{3} c^{3} d^{4} + 126 \, a^{2} b^{2} c^{2} d^{5} + 28 \, a^{3} b c d^{6} + a^{4} d^{7}\right)} x^{8} + {\left(3 \, b^{4} c^{5} d^{2} + 20 \, a b^{3} c^{4} d^{3} + 30 \, a^{2} b^{2} c^{3} d^{4} + 12 \, a^{3} b c^{2} d^{5} + a^{4} c d^{6}\right)} x^{7} + \frac{7}{6} \, {\left(b^{4} c^{6} d + 12 \, a b^{3} c^{5} d^{2} + 30 \, a^{2} b^{2} c^{4} d^{3} + 20 \, a^{3} b c^{3} d^{4} + 3 \, a^{4} c^{2} d^{5}\right)} x^{6} + \frac{1}{5} \, {\left(b^{4} c^{7} + 28 \, a b^{3} c^{6} d + 126 \, a^{2} b^{2} c^{5} d^{2} + 140 \, a^{3} b c^{4} d^{3} + 35 \, a^{4} c^{3} d^{4}\right)} x^{5} + \frac{1}{4} \, {\left(4 \, a b^{3} c^{7} + 42 \, a^{2} b^{2} c^{6} d + 84 \, a^{3} b c^{5} d^{2} + 35 \, a^{4} c^{4} d^{3}\right)} x^{4} + \frac{1}{3} \, {\left(6 \, a^{2} b^{2} c^{7} + 28 \, a^{3} b c^{6} d + 21 \, a^{4} c^{5} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a^{3} b c^{7} + 7 \, a^{4} c^{6} d\right)} x^{2}"," ",0,"1/12*b^4*d^7*x^12 + a^4*c^7*x + 1/11*(7*b^4*c*d^6 + 4*a*b^3*d^7)*x^11 + 1/10*(21*b^4*c^2*d^5 + 28*a*b^3*c*d^6 + 6*a^2*b^2*d^7)*x^10 + 1/9*(35*b^4*c^3*d^4 + 84*a*b^3*c^2*d^5 + 42*a^2*b^2*c*d^6 + 4*a^3*b*d^7)*x^9 + 1/8*(35*b^4*c^4*d^3 + 140*a*b^3*c^3*d^4 + 126*a^2*b^2*c^2*d^5 + 28*a^3*b*c*d^6 + a^4*d^7)*x^8 + (3*b^4*c^5*d^2 + 20*a*b^3*c^4*d^3 + 30*a^2*b^2*c^3*d^4 + 12*a^3*b*c^2*d^5 + a^4*c*d^6)*x^7 + 7/6*(b^4*c^6*d + 12*a*b^3*c^5*d^2 + 30*a^2*b^2*c^4*d^3 + 20*a^3*b*c^3*d^4 + 3*a^4*c^2*d^5)*x^6 + 1/5*(b^4*c^7 + 28*a*b^3*c^6*d + 126*a^2*b^2*c^5*d^2 + 140*a^3*b*c^4*d^3 + 35*a^4*c^3*d^4)*x^5 + 1/4*(4*a*b^3*c^7 + 42*a^2*b^2*c^6*d + 84*a^3*b*c^5*d^2 + 35*a^4*c^4*d^3)*x^4 + 1/3*(6*a^2*b^2*c^7 + 28*a^3*b*c^6*d + 21*a^4*c^5*d^2)*x^3 + 1/2*(4*a^3*b*c^7 + 7*a^4*c^6*d)*x^2","B",0
1279,1,376,0,1.373108," ","integrate((b*x+a)^3*(d*x+c)^7,x, algorithm=""maxima"")","\frac{1}{11} \, b^{3} d^{7} x^{11} + a^{3} c^{7} x + \frac{1}{10} \, {\left(7 \, b^{3} c d^{6} + 3 \, a b^{2} d^{7}\right)} x^{10} + \frac{1}{3} \, {\left(7 \, b^{3} c^{2} d^{5} + 7 \, a b^{2} c d^{6} + a^{2} b d^{7}\right)} x^{9} + \frac{1}{8} \, {\left(35 \, b^{3} c^{3} d^{4} + 63 \, a b^{2} c^{2} d^{5} + 21 \, a^{2} b c d^{6} + a^{3} d^{7}\right)} x^{8} + {\left(5 \, b^{3} c^{4} d^{3} + 15 \, a b^{2} c^{3} d^{4} + 9 \, a^{2} b c^{2} d^{5} + a^{3} c d^{6}\right)} x^{7} + \frac{7}{2} \, {\left(b^{3} c^{5} d^{2} + 5 \, a b^{2} c^{4} d^{3} + 5 \, a^{2} b c^{3} d^{4} + a^{3} c^{2} d^{5}\right)} x^{6} + \frac{7}{5} \, {\left(b^{3} c^{6} d + 9 \, a b^{2} c^{5} d^{2} + 15 \, a^{2} b c^{4} d^{3} + 5 \, a^{3} c^{3} d^{4}\right)} x^{5} + \frac{1}{4} \, {\left(b^{3} c^{7} + 21 \, a b^{2} c^{6} d + 63 \, a^{2} b c^{5} d^{2} + 35 \, a^{3} c^{4} d^{3}\right)} x^{4} + {\left(a b^{2} c^{7} + 7 \, a^{2} b c^{6} d + 7 \, a^{3} c^{5} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b c^{7} + 7 \, a^{3} c^{6} d\right)} x^{2}"," ",0,"1/11*b^3*d^7*x^11 + a^3*c^7*x + 1/10*(7*b^3*c*d^6 + 3*a*b^2*d^7)*x^10 + 1/3*(7*b^3*c^2*d^5 + 7*a*b^2*c*d^6 + a^2*b*d^7)*x^9 + 1/8*(35*b^3*c^3*d^4 + 63*a*b^2*c^2*d^5 + 21*a^2*b*c*d^6 + a^3*d^7)*x^8 + (5*b^3*c^4*d^3 + 15*a*b^2*c^3*d^4 + 9*a^2*b*c^2*d^5 + a^3*c*d^6)*x^7 + 7/2*(b^3*c^5*d^2 + 5*a*b^2*c^4*d^3 + 5*a^2*b*c^3*d^4 + a^3*c^2*d^5)*x^6 + 7/5*(b^3*c^6*d + 9*a*b^2*c^5*d^2 + 15*a^2*b*c^4*d^3 + 5*a^3*c^3*d^4)*x^5 + 1/4*(b^3*c^7 + 21*a*b^2*c^6*d + 63*a^2*b*c^5*d^2 + 35*a^3*c^4*d^3)*x^4 + (a*b^2*c^7 + 7*a^2*b*c^6*d + 7*a^3*c^5*d^2)*x^3 + 1/2*(3*a^2*b*c^7 + 7*a^3*c^6*d)*x^2","B",0
1280,1,273,0,1.362992," ","integrate((b*x+a)^2*(d*x+c)^7,x, algorithm=""maxima"")","\frac{1}{10} \, b^{2} d^{7} x^{10} + a^{2} c^{7} x + \frac{1}{9} \, {\left(7 \, b^{2} c d^{6} + 2 \, a b d^{7}\right)} x^{9} + \frac{1}{8} \, {\left(21 \, b^{2} c^{2} d^{5} + 14 \, a b c d^{6} + a^{2} d^{7}\right)} x^{8} + {\left(5 \, b^{2} c^{3} d^{4} + 6 \, a b c^{2} d^{5} + a^{2} c d^{6}\right)} x^{7} + \frac{7}{6} \, {\left(5 \, b^{2} c^{4} d^{3} + 10 \, a b c^{3} d^{4} + 3 \, a^{2} c^{2} d^{5}\right)} x^{6} + \frac{7}{5} \, {\left(3 \, b^{2} c^{5} d^{2} + 10 \, a b c^{4} d^{3} + 5 \, a^{2} c^{3} d^{4}\right)} x^{5} + \frac{7}{4} \, {\left(b^{2} c^{6} d + 6 \, a b c^{5} d^{2} + 5 \, a^{2} c^{4} d^{3}\right)} x^{4} + \frac{1}{3} \, {\left(b^{2} c^{7} + 14 \, a b c^{6} d + 21 \, a^{2} c^{5} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(2 \, a b c^{7} + 7 \, a^{2} c^{6} d\right)} x^{2}"," ",0,"1/10*b^2*d^7*x^10 + a^2*c^7*x + 1/9*(7*b^2*c*d^6 + 2*a*b*d^7)*x^9 + 1/8*(21*b^2*c^2*d^5 + 14*a*b*c*d^6 + a^2*d^7)*x^8 + (5*b^2*c^3*d^4 + 6*a*b*c^2*d^5 + a^2*c*d^6)*x^7 + 7/6*(5*b^2*c^4*d^3 + 10*a*b*c^3*d^4 + 3*a^2*c^2*d^5)*x^6 + 7/5*(3*b^2*c^5*d^2 + 10*a*b*c^4*d^3 + 5*a^2*c^3*d^4)*x^5 + 7/4*(b^2*c^6*d + 6*a*b*c^5*d^2 + 5*a^2*c^4*d^3)*x^4 + 1/3*(b^2*c^7 + 14*a*b*c^6*d + 21*a^2*c^5*d^2)*x^3 + 1/2*(2*a*b*c^7 + 7*a^2*c^6*d)*x^2","B",0
1281,1,163,0,1.376416," ","integrate((b*x+a)*(d*x+c)^7,x, algorithm=""maxima"")","\frac{1}{9} \, b d^{7} x^{9} + a c^{7} x + \frac{1}{8} \, {\left(7 \, b c d^{6} + a d^{7}\right)} x^{8} + {\left(3 \, b c^{2} d^{5} + a c d^{6}\right)} x^{7} + \frac{7}{6} \, {\left(5 \, b c^{3} d^{4} + 3 \, a c^{2} d^{5}\right)} x^{6} + 7 \, {\left(b c^{4} d^{3} + a c^{3} d^{4}\right)} x^{5} + \frac{7}{4} \, {\left(3 \, b c^{5} d^{2} + 5 \, a c^{4} d^{3}\right)} x^{4} + \frac{7}{3} \, {\left(b c^{6} d + 3 \, a c^{5} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(b c^{7} + 7 \, a c^{6} d\right)} x^{2}"," ",0,"1/9*b*d^7*x^9 + a*c^7*x + 1/8*(7*b*c*d^6 + a*d^7)*x^8 + (3*b*c^2*d^5 + a*c*d^6)*x^7 + 7/6*(5*b*c^3*d^4 + 3*a*c^2*d^5)*x^6 + 7*(b*c^4*d^3 + a*c^3*d^4)*x^5 + 7/4*(3*b*c^5*d^2 + 5*a*c^4*d^3)*x^4 + 7/3*(b*c^6*d + 3*a*c^5*d^2)*x^3 + 1/2*(b*c^7 + 7*a*c^6*d)*x^2","B",0
1282,1,12,0,1.315072," ","integrate((d*x+c)^7,x, algorithm=""maxima"")","\frac{{\left(d x + c\right)}^{8}}{8 \, d}"," ",0,"1/8*(d*x + c)^8/d","A",0
1283,1,460,0,1.394852," ","integrate((d*x+c)^7/(b*x+a),x, algorithm=""maxima"")","\frac{60 \, b^{6} d^{7} x^{7} + 70 \, {\left(7 \, b^{6} c d^{6} - a b^{5} d^{7}\right)} x^{6} + 84 \, {\left(21 \, b^{6} c^{2} d^{5} - 7 \, a b^{5} c d^{6} + a^{2} b^{4} d^{7}\right)} x^{5} + 105 \, {\left(35 \, b^{6} c^{3} d^{4} - 21 \, a b^{5} c^{2} d^{5} + 7 \, a^{2} b^{4} c d^{6} - a^{3} b^{3} d^{7}\right)} x^{4} + 140 \, {\left(35 \, b^{6} c^{4} d^{3} - 35 \, a b^{5} c^{3} d^{4} + 21 \, a^{2} b^{4} c^{2} d^{5} - 7 \, a^{3} b^{3} c d^{6} + a^{4} b^{2} d^{7}\right)} x^{3} + 210 \, {\left(21 \, b^{6} c^{5} d^{2} - 35 \, a b^{5} c^{4} d^{3} + 35 \, a^{2} b^{4} c^{3} d^{4} - 21 \, a^{3} b^{3} c^{2} d^{5} + 7 \, a^{4} b^{2} c d^{6} - a^{5} b d^{7}\right)} x^{2} + 420 \, {\left(7 \, b^{6} c^{6} d - 21 \, a b^{5} c^{5} d^{2} + 35 \, a^{2} b^{4} c^{4} d^{3} - 35 \, a^{3} b^{3} c^{3} d^{4} + 21 \, a^{4} b^{2} c^{2} d^{5} - 7 \, a^{5} b c d^{6} + a^{6} d^{7}\right)} x}{420 \, b^{7}} + \frac{{\left(b^{7} c^{7} - 7 \, a b^{6} c^{6} d + 21 \, a^{2} b^{5} c^{5} d^{2} - 35 \, a^{3} b^{4} c^{4} d^{3} + 35 \, a^{4} b^{3} c^{3} d^{4} - 21 \, a^{5} b^{2} c^{2} d^{5} + 7 \, a^{6} b c d^{6} - a^{7} d^{7}\right)} \log\left(b x + a\right)}{b^{8}}"," ",0,"1/420*(60*b^6*d^7*x^7 + 70*(7*b^6*c*d^6 - a*b^5*d^7)*x^6 + 84*(21*b^6*c^2*d^5 - 7*a*b^5*c*d^6 + a^2*b^4*d^7)*x^5 + 105*(35*b^6*c^3*d^4 - 21*a*b^5*c^2*d^5 + 7*a^2*b^4*c*d^6 - a^3*b^3*d^7)*x^4 + 140*(35*b^6*c^4*d^3 - 35*a*b^5*c^3*d^4 + 21*a^2*b^4*c^2*d^5 - 7*a^3*b^3*c*d^6 + a^4*b^2*d^7)*x^3 + 210*(21*b^6*c^5*d^2 - 35*a*b^5*c^4*d^3 + 35*a^2*b^4*c^3*d^4 - 21*a^3*b^3*c^2*d^5 + 7*a^4*b^2*c*d^6 - a^5*b*d^7)*x^2 + 420*(7*b^6*c^6*d - 21*a*b^5*c^5*d^2 + 35*a^2*b^4*c^4*d^3 - 35*a^3*b^3*c^3*d^4 + 21*a^4*b^2*c^2*d^5 - 7*a^5*b*c*d^6 + a^6*d^7)*x)/b^7 + (b^7*c^7 - 7*a*b^6*c^6*d + 21*a^2*b^5*c^5*d^2 - 35*a^3*b^4*c^4*d^3 + 35*a^4*b^3*c^3*d^4 - 21*a^5*b^2*c^2*d^5 + 7*a^6*b*c*d^6 - a^7*d^7)*log(b*x + a)/b^8","B",0
1284,1,467,0,1.402586," ","integrate((d*x+c)^7/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{b^{7} c^{7} - 7 \, a b^{6} c^{6} d + 21 \, a^{2} b^{5} c^{5} d^{2} - 35 \, a^{3} b^{4} c^{4} d^{3} + 35 \, a^{4} b^{3} c^{3} d^{4} - 21 \, a^{5} b^{2} c^{2} d^{5} + 7 \, a^{6} b c d^{6} - a^{7} d^{7}}{b^{9} x + a b^{8}} + \frac{10 \, b^{5} d^{7} x^{6} + 12 \, {\left(7 \, b^{5} c d^{6} - 2 \, a b^{4} d^{7}\right)} x^{5} + 15 \, {\left(21 \, b^{5} c^{2} d^{5} - 14 \, a b^{4} c d^{6} + 3 \, a^{2} b^{3} d^{7}\right)} x^{4} + 20 \, {\left(35 \, b^{5} c^{3} d^{4} - 42 \, a b^{4} c^{2} d^{5} + 21 \, a^{2} b^{3} c d^{6} - 4 \, a^{3} b^{2} d^{7}\right)} x^{3} + 30 \, {\left(35 \, b^{5} c^{4} d^{3} - 70 \, a b^{4} c^{3} d^{4} + 63 \, a^{2} b^{3} c^{2} d^{5} - 28 \, a^{3} b^{2} c d^{6} + 5 \, a^{4} b d^{7}\right)} x^{2} + 60 \, {\left(21 \, b^{5} c^{5} d^{2} - 70 \, a b^{4} c^{4} d^{3} + 105 \, a^{2} b^{3} c^{3} d^{4} - 84 \, a^{3} b^{2} c^{2} d^{5} + 35 \, a^{4} b c d^{6} - 6 \, a^{5} d^{7}\right)} x}{60 \, b^{7}} + \frac{7 \, {\left(b^{6} c^{6} d - 6 \, a b^{5} c^{5} d^{2} + 15 \, a^{2} b^{4} c^{4} d^{3} - 20 \, a^{3} b^{3} c^{3} d^{4} + 15 \, a^{4} b^{2} c^{2} d^{5} - 6 \, a^{5} b c d^{6} + a^{6} d^{7}\right)} \log\left(b x + a\right)}{b^{8}}"," ",0,"-(b^7*c^7 - 7*a*b^6*c^6*d + 21*a^2*b^5*c^5*d^2 - 35*a^3*b^4*c^4*d^3 + 35*a^4*b^3*c^3*d^4 - 21*a^5*b^2*c^2*d^5 + 7*a^6*b*c*d^6 - a^7*d^7)/(b^9*x + a*b^8) + 1/60*(10*b^5*d^7*x^6 + 12*(7*b^5*c*d^6 - 2*a*b^4*d^7)*x^5 + 15*(21*b^5*c^2*d^5 - 14*a*b^4*c*d^6 + 3*a^2*b^3*d^7)*x^4 + 20*(35*b^5*c^3*d^4 - 42*a*b^4*c^2*d^5 + 21*a^2*b^3*c*d^6 - 4*a^3*b^2*d^7)*x^3 + 30*(35*b^5*c^4*d^3 - 70*a*b^4*c^3*d^4 + 63*a^2*b^3*c^2*d^5 - 28*a^3*b^2*c*d^6 + 5*a^4*b*d^7)*x^2 + 60*(21*b^5*c^5*d^2 - 70*a*b^4*c^4*d^3 + 105*a^2*b^3*c^3*d^4 - 84*a^3*b^2*c^2*d^5 + 35*a^4*b*c*d^6 - 6*a^5*d^7)*x)/b^7 + 7*(b^6*c^6*d - 6*a*b^5*c^5*d^2 + 15*a^2*b^4*c^4*d^3 - 20*a^3*b^3*c^3*d^4 + 15*a^4*b^2*c^2*d^5 - 6*a^5*b*c*d^6 + a^6*d^7)*log(b*x + a)/b^8","B",0
1285,1,473,0,1.537846," ","integrate((d*x+c)^7/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{b^{7} c^{7} + 7 \, a b^{6} c^{6} d - 63 \, a^{2} b^{5} c^{5} d^{2} + 175 \, a^{3} b^{4} c^{4} d^{3} - 245 \, a^{4} b^{3} c^{3} d^{4} + 189 \, a^{5} b^{2} c^{2} d^{5} - 77 \, a^{6} b c d^{6} + 13 \, a^{7} d^{7} + 14 \, {\left(b^{7} c^{6} d - 6 \, a b^{6} c^{5} d^{2} + 15 \, a^{2} b^{5} c^{4} d^{3} - 20 \, a^{3} b^{4} c^{3} d^{4} + 15 \, a^{4} b^{3} c^{2} d^{5} - 6 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x}{2 \, {\left(b^{10} x^{2} + 2 \, a b^{9} x + a^{2} b^{8}\right)}} + \frac{4 \, b^{4} d^{7} x^{5} + 5 \, {\left(7 \, b^{4} c d^{6} - 3 \, a b^{3} d^{7}\right)} x^{4} + 20 \, {\left(7 \, b^{4} c^{2} d^{5} - 7 \, a b^{3} c d^{6} + 2 \, a^{2} b^{2} d^{7}\right)} x^{3} + 10 \, {\left(35 \, b^{4} c^{3} d^{4} - 63 \, a b^{3} c^{2} d^{5} + 42 \, a^{2} b^{2} c d^{6} - 10 \, a^{3} b d^{7}\right)} x^{2} + 20 \, {\left(35 \, b^{4} c^{4} d^{3} - 105 \, a b^{3} c^{3} d^{4} + 126 \, a^{2} b^{2} c^{2} d^{5} - 70 \, a^{3} b c d^{6} + 15 \, a^{4} d^{7}\right)} x}{20 \, b^{7}} + \frac{21 \, {\left(b^{5} c^{5} d^{2} - 5 \, a b^{4} c^{4} d^{3} + 10 \, a^{2} b^{3} c^{3} d^{4} - 10 \, a^{3} b^{2} c^{2} d^{5} + 5 \, a^{4} b c d^{6} - a^{5} d^{7}\right)} \log\left(b x + a\right)}{b^{8}}"," ",0,"-1/2*(b^7*c^7 + 7*a*b^6*c^6*d - 63*a^2*b^5*c^5*d^2 + 175*a^3*b^4*c^4*d^3 - 245*a^4*b^3*c^3*d^4 + 189*a^5*b^2*c^2*d^5 - 77*a^6*b*c*d^6 + 13*a^7*d^7 + 14*(b^7*c^6*d - 6*a*b^6*c^5*d^2 + 15*a^2*b^5*c^4*d^3 - 20*a^3*b^4*c^3*d^4 + 15*a^4*b^3*c^2*d^5 - 6*a^5*b^2*c*d^6 + a^6*b*d^7)*x)/(b^10*x^2 + 2*a*b^9*x + a^2*b^8) + 1/20*(4*b^4*d^7*x^5 + 5*(7*b^4*c*d^6 - 3*a*b^3*d^7)*x^4 + 20*(7*b^4*c^2*d^5 - 7*a*b^3*c*d^6 + 2*a^2*b^2*d^7)*x^3 + 10*(35*b^4*c^3*d^4 - 63*a*b^3*c^2*d^5 + 42*a^2*b^2*c*d^6 - 10*a^3*b*d^7)*x^2 + 20*(35*b^4*c^4*d^3 - 105*a*b^3*c^3*d^4 + 126*a^2*b^2*c^2*d^5 - 70*a^3*b*c*d^6 + 15*a^4*d^7)*x)/b^7 + 21*(b^5*c^5*d^2 - 5*a*b^4*c^4*d^3 + 10*a^2*b^3*c^3*d^4 - 10*a^3*b^2*c^2*d^5 + 5*a^4*b*c*d^6 - a^5*d^7)*log(b*x + a)/b^8","B",0
1286,1,484,0,1.628411," ","integrate((d*x+c)^7/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{2 \, b^{7} c^{7} + 7 \, a b^{6} c^{6} d + 42 \, a^{2} b^{5} c^{5} d^{2} - 385 \, a^{3} b^{4} c^{4} d^{3} + 910 \, a^{4} b^{3} c^{3} d^{4} - 987 \, a^{5} b^{2} c^{2} d^{5} + 518 \, a^{6} b c d^{6} - 107 \, a^{7} d^{7} + 126 \, {\left(b^{7} c^{5} d^{2} - 5 \, a b^{6} c^{4} d^{3} + 10 \, a^{2} b^{5} c^{3} d^{4} - 10 \, a^{3} b^{4} c^{2} d^{5} + 5 \, a^{4} b^{3} c d^{6} - a^{5} b^{2} d^{7}\right)} x^{2} + 21 \, {\left(b^{7} c^{6} d + 6 \, a b^{6} c^{5} d^{2} - 45 \, a^{2} b^{5} c^{4} d^{3} + 100 \, a^{3} b^{4} c^{3} d^{4} - 105 \, a^{4} b^{3} c^{2} d^{5} + 54 \, a^{5} b^{2} c d^{6} - 11 \, a^{6} b d^{7}\right)} x}{6 \, {\left(b^{11} x^{3} + 3 \, a b^{10} x^{2} + 3 \, a^{2} b^{9} x + a^{3} b^{8}\right)}} + \frac{3 \, b^{3} d^{7} x^{4} + 4 \, {\left(7 \, b^{3} c d^{6} - 4 \, a b^{2} d^{7}\right)} x^{3} + 6 \, {\left(21 \, b^{3} c^{2} d^{5} - 28 \, a b^{2} c d^{6} + 10 \, a^{2} b d^{7}\right)} x^{2} + 12 \, {\left(35 \, b^{3} c^{3} d^{4} - 84 \, a b^{2} c^{2} d^{5} + 70 \, a^{2} b c d^{6} - 20 \, a^{3} d^{7}\right)} x}{12 \, b^{7}} + \frac{35 \, {\left(b^{4} c^{4} d^{3} - 4 \, a b^{3} c^{3} d^{4} + 6 \, a^{2} b^{2} c^{2} d^{5} - 4 \, a^{3} b c d^{6} + a^{4} d^{7}\right)} \log\left(b x + a\right)}{b^{8}}"," ",0,"-1/6*(2*b^7*c^7 + 7*a*b^6*c^6*d + 42*a^2*b^5*c^5*d^2 - 385*a^3*b^4*c^4*d^3 + 910*a^4*b^3*c^3*d^4 - 987*a^5*b^2*c^2*d^5 + 518*a^6*b*c*d^6 - 107*a^7*d^7 + 126*(b^7*c^5*d^2 - 5*a*b^6*c^4*d^3 + 10*a^2*b^5*c^3*d^4 - 10*a^3*b^4*c^2*d^5 + 5*a^4*b^3*c*d^6 - a^5*b^2*d^7)*x^2 + 21*(b^7*c^6*d + 6*a*b^6*c^5*d^2 - 45*a^2*b^5*c^4*d^3 + 100*a^3*b^4*c^3*d^4 - 105*a^4*b^3*c^2*d^5 + 54*a^5*b^2*c*d^6 - 11*a^6*b*d^7)*x)/(b^11*x^3 + 3*a*b^10*x^2 + 3*a^2*b^9*x + a^3*b^8) + 1/12*(3*b^3*d^7*x^4 + 4*(7*b^3*c*d^6 - 4*a*b^2*d^7)*x^3 + 6*(21*b^3*c^2*d^5 - 28*a*b^2*c*d^6 + 10*a^2*b*d^7)*x^2 + 12*(35*b^3*c^3*d^4 - 84*a*b^2*c^2*d^5 + 70*a^2*b*c*d^6 - 20*a^3*d^7)*x)/b^7 + 35*(b^4*c^4*d^3 - 4*a*b^3*c^3*d^4 + 6*a^2*b^2*c^2*d^5 - 4*a^3*b*c*d^6 + a^4*d^7)*log(b*x + a)/b^8","B",0
1287,1,494,0,1.733765," ","integrate((d*x+c)^7/(b*x+a)^5,x, algorithm=""maxima"")","-\frac{3 \, b^{7} c^{7} + 7 \, a b^{6} c^{6} d + 21 \, a^{2} b^{5} c^{5} d^{2} + 105 \, a^{3} b^{4} c^{4} d^{3} - 875 \, a^{4} b^{3} c^{3} d^{4} + 1617 \, a^{5} b^{2} c^{2} d^{5} - 1197 \, a^{6} b c d^{6} + 319 \, a^{7} d^{7} + 420 \, {\left(b^{7} c^{4} d^{3} - 4 \, a b^{6} c^{3} d^{4} + 6 \, a^{2} b^{5} c^{2} d^{5} - 4 \, a^{3} b^{4} c d^{6} + a^{4} b^{3} d^{7}\right)} x^{3} + 126 \, {\left(b^{7} c^{5} d^{2} + 5 \, a b^{6} c^{4} d^{3} - 30 \, a^{2} b^{5} c^{3} d^{4} + 50 \, a^{3} b^{4} c^{2} d^{5} - 35 \, a^{4} b^{3} c d^{6} + 9 \, a^{5} b^{2} d^{7}\right)} x^{2} + 28 \, {\left(b^{7} c^{6} d + 3 \, a b^{6} c^{5} d^{2} + 15 \, a^{2} b^{5} c^{4} d^{3} - 110 \, a^{3} b^{4} c^{3} d^{4} + 195 \, a^{4} b^{3} c^{2} d^{5} - 141 \, a^{5} b^{2} c d^{6} + 37 \, a^{6} b d^{7}\right)} x}{12 \, {\left(b^{12} x^{4} + 4 \, a b^{11} x^{3} + 6 \, a^{2} b^{10} x^{2} + 4 \, a^{3} b^{9} x + a^{4} b^{8}\right)}} + \frac{2 \, b^{2} d^{7} x^{3} + 3 \, {\left(7 \, b^{2} c d^{6} - 5 \, a b d^{7}\right)} x^{2} + 6 \, {\left(21 \, b^{2} c^{2} d^{5} - 35 \, a b c d^{6} + 15 \, a^{2} d^{7}\right)} x}{6 \, b^{7}} + \frac{35 \, {\left(b^{3} c^{3} d^{4} - 3 \, a b^{2} c^{2} d^{5} + 3 \, a^{2} b c d^{6} - a^{3} d^{7}\right)} \log\left(b x + a\right)}{b^{8}}"," ",0,"-1/12*(3*b^7*c^7 + 7*a*b^6*c^6*d + 21*a^2*b^5*c^5*d^2 + 105*a^3*b^4*c^4*d^3 - 875*a^4*b^3*c^3*d^4 + 1617*a^5*b^2*c^2*d^5 - 1197*a^6*b*c*d^6 + 319*a^7*d^7 + 420*(b^7*c^4*d^3 - 4*a*b^6*c^3*d^4 + 6*a^2*b^5*c^2*d^5 - 4*a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 126*(b^7*c^5*d^2 + 5*a*b^6*c^4*d^3 - 30*a^2*b^5*c^3*d^4 + 50*a^3*b^4*c^2*d^5 - 35*a^4*b^3*c*d^6 + 9*a^5*b^2*d^7)*x^2 + 28*(b^7*c^6*d + 3*a*b^6*c^5*d^2 + 15*a^2*b^5*c^4*d^3 - 110*a^3*b^4*c^3*d^4 + 195*a^4*b^3*c^2*d^5 - 141*a^5*b^2*c*d^6 + 37*a^6*b*d^7)*x)/(b^12*x^4 + 4*a*b^11*x^3 + 6*a^2*b^10*x^2 + 4*a^3*b^9*x + a^4*b^8) + 1/6*(2*b^2*d^7*x^3 + 3*(7*b^2*c*d^6 - 5*a*b*d^7)*x^2 + 6*(21*b^2*c^2*d^5 - 35*a*b*c*d^6 + 15*a^2*d^7)*x)/b^7 + 35*(b^3*c^3*d^4 - 3*a*b^2*c^2*d^5 + 3*a^2*b*c*d^6 - a^3*d^7)*log(b*x + a)/b^8","B",0
1288,1,504,0,1.817218," ","integrate((d*x+c)^7/(b*x+a)^6,x, algorithm=""maxima"")","-\frac{4 \, b^{7} c^{7} + 7 \, a b^{6} c^{6} d + 14 \, a^{2} b^{5} c^{5} d^{2} + 35 \, a^{3} b^{4} c^{4} d^{3} + 140 \, a^{4} b^{3} c^{3} d^{4} - 959 \, a^{5} b^{2} c^{2} d^{5} + 1218 \, a^{6} b c d^{6} - 459 \, a^{7} d^{7} + 700 \, {\left(b^{7} c^{3} d^{4} - 3 \, a b^{6} c^{2} d^{5} + 3 \, a^{2} b^{5} c d^{6} - a^{3} b^{4} d^{7}\right)} x^{4} + 350 \, {\left(b^{7} c^{4} d^{3} + 4 \, a b^{6} c^{3} d^{4} - 18 \, a^{2} b^{5} c^{2} d^{5} + 20 \, a^{3} b^{4} c d^{6} - 7 \, a^{4} b^{3} d^{7}\right)} x^{3} + 70 \, {\left(2 \, b^{7} c^{5} d^{2} + 5 \, a b^{6} c^{4} d^{3} + 20 \, a^{2} b^{5} c^{3} d^{4} - 110 \, a^{3} b^{4} c^{2} d^{5} + 130 \, a^{4} b^{3} c d^{6} - 47 \, a^{5} b^{2} d^{7}\right)} x^{2} + 35 \, {\left(b^{7} c^{6} d + 2 \, a b^{6} c^{5} d^{2} + 5 \, a^{2} b^{5} c^{4} d^{3} + 20 \, a^{3} b^{4} c^{3} d^{4} - 125 \, a^{4} b^{3} c^{2} d^{5} + 154 \, a^{5} b^{2} c d^{6} - 57 \, a^{6} b d^{7}\right)} x}{20 \, {\left(b^{13} x^{5} + 5 \, a b^{12} x^{4} + 10 \, a^{2} b^{11} x^{3} + 10 \, a^{3} b^{10} x^{2} + 5 \, a^{4} b^{9} x + a^{5} b^{8}\right)}} + \frac{b d^{7} x^{2} + 2 \, {\left(7 \, b c d^{6} - 6 \, a d^{7}\right)} x}{2 \, b^{7}} + \frac{21 \, {\left(b^{2} c^{2} d^{5} - 2 \, a b c d^{6} + a^{2} d^{7}\right)} \log\left(b x + a\right)}{b^{8}}"," ",0,"-1/20*(4*b^7*c^7 + 7*a*b^6*c^6*d + 14*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 + 140*a^4*b^3*c^3*d^4 - 959*a^5*b^2*c^2*d^5 + 1218*a^6*b*c*d^6 - 459*a^7*d^7 + 700*(b^7*c^3*d^4 - 3*a*b^6*c^2*d^5 + 3*a^2*b^5*c*d^6 - a^3*b^4*d^7)*x^4 + 350*(b^7*c^4*d^3 + 4*a*b^6*c^3*d^4 - 18*a^2*b^5*c^2*d^5 + 20*a^3*b^4*c*d^6 - 7*a^4*b^3*d^7)*x^3 + 70*(2*b^7*c^5*d^2 + 5*a*b^6*c^4*d^3 + 20*a^2*b^5*c^3*d^4 - 110*a^3*b^4*c^2*d^5 + 130*a^4*b^3*c*d^6 - 47*a^5*b^2*d^7)*x^2 + 35*(b^7*c^6*d + 2*a*b^6*c^5*d^2 + 5*a^2*b^5*c^4*d^3 + 20*a^3*b^4*c^3*d^4 - 125*a^4*b^3*c^2*d^5 + 154*a^5*b^2*c*d^6 - 57*a^6*b*d^7)*x)/(b^13*x^5 + 5*a*b^12*x^4 + 10*a^2*b^11*x^3 + 10*a^3*b^10*x^2 + 5*a^4*b^9*x + a^5*b^8) + 1/2*(b*d^7*x^2 + 2*(7*b*c*d^6 - 6*a*d^7)*x)/b^7 + 21*(b^2*c^2*d^5 - 2*a*b*c*d^6 + a^2*d^7)*log(b*x + a)/b^8","B",0
1289,1,516,0,1.798630," ","integrate((d*x+c)^7/(b*x+a)^7,x, algorithm=""maxima"")","\frac{d^{7} x}{b^{7}} - \frac{10 \, b^{7} c^{7} + 14 \, a b^{6} c^{6} d + 21 \, a^{2} b^{5} c^{5} d^{2} + 35 \, a^{3} b^{4} c^{4} d^{3} + 70 \, a^{4} b^{3} c^{3} d^{4} + 210 \, a^{5} b^{2} c^{2} d^{5} - 1029 \, a^{6} b c d^{6} + 669 \, a^{7} d^{7} + 1260 \, {\left(b^{7} c^{2} d^{5} - 2 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 1050 \, {\left(b^{7} c^{3} d^{4} + 3 \, a b^{6} c^{2} d^{5} - 9 \, a^{2} b^{5} c d^{6} + 5 \, a^{3} b^{4} d^{7}\right)} x^{4} + 700 \, {\left(b^{7} c^{4} d^{3} + 2 \, a b^{6} c^{3} d^{4} + 6 \, a^{2} b^{5} c^{2} d^{5} - 22 \, a^{3} b^{4} c d^{6} + 13 \, a^{4} b^{3} d^{7}\right)} x^{3} + 105 \, {\left(3 \, b^{7} c^{5} d^{2} + 5 \, a b^{6} c^{4} d^{3} + 10 \, a^{2} b^{5} c^{3} d^{4} + 30 \, a^{3} b^{4} c^{2} d^{5} - 125 \, a^{4} b^{3} c d^{6} + 77 \, a^{5} b^{2} d^{7}\right)} x^{2} + 42 \, {\left(2 \, b^{7} c^{6} d + 3 \, a b^{6} c^{5} d^{2} + 5 \, a^{2} b^{5} c^{4} d^{3} + 10 \, a^{3} b^{4} c^{3} d^{4} + 30 \, a^{4} b^{3} c^{2} d^{5} - 137 \, a^{5} b^{2} c d^{6} + 87 \, a^{6} b d^{7}\right)} x}{60 \, {\left(b^{14} x^{6} + 6 \, a b^{13} x^{5} + 15 \, a^{2} b^{12} x^{4} + 20 \, a^{3} b^{11} x^{3} + 15 \, a^{4} b^{10} x^{2} + 6 \, a^{5} b^{9} x + a^{6} b^{8}\right)}} + \frac{7 \, {\left(b c d^{6} - a d^{7}\right)} \log\left(b x + a\right)}{b^{8}}"," ",0,"d^7*x/b^7 - 1/60*(10*b^7*c^7 + 14*a*b^6*c^6*d + 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 + 70*a^4*b^3*c^3*d^4 + 210*a^5*b^2*c^2*d^5 - 1029*a^6*b*c*d^6 + 669*a^7*d^7 + 1260*(b^7*c^2*d^5 - 2*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 1050*(b^7*c^3*d^4 + 3*a*b^6*c^2*d^5 - 9*a^2*b^5*c*d^6 + 5*a^3*b^4*d^7)*x^4 + 700*(b^7*c^4*d^3 + 2*a*b^6*c^3*d^4 + 6*a^2*b^5*c^2*d^5 - 22*a^3*b^4*c*d^6 + 13*a^4*b^3*d^7)*x^3 + 105*(3*b^7*c^5*d^2 + 5*a*b^6*c^4*d^3 + 10*a^2*b^5*c^3*d^4 + 30*a^3*b^4*c^2*d^5 - 125*a^4*b^3*c*d^6 + 77*a^5*b^2*d^7)*x^2 + 42*(2*b^7*c^6*d + 3*a*b^6*c^5*d^2 + 5*a^2*b^5*c^4*d^3 + 10*a^3*b^4*c^3*d^4 + 30*a^4*b^3*c^2*d^5 - 137*a^5*b^2*c*d^6 + 87*a^6*b*d^7)*x)/(b^14*x^6 + 6*a*b^13*x^5 + 15*a^2*b^12*x^4 + 20*a^3*b^11*x^3 + 15*a^4*b^10*x^2 + 6*a^5*b^9*x + a^6*b^8) + 7*(b*c*d^6 - a*d^7)*log(b*x + a)/b^8","B",0
1290,1,534,0,1.648052," ","integrate((d*x+c)^7/(b*x+a)^8,x, algorithm=""maxima"")","-\frac{60 \, b^{7} c^{7} + 70 \, a b^{6} c^{6} d + 84 \, a^{2} b^{5} c^{5} d^{2} + 105 \, a^{3} b^{4} c^{4} d^{3} + 140 \, a^{4} b^{3} c^{3} d^{4} + 210 \, a^{5} b^{2} c^{2} d^{5} + 420 \, a^{6} b c d^{6} - 1089 \, a^{7} d^{7} + 2940 \, {\left(b^{7} c d^{6} - a b^{6} d^{7}\right)} x^{6} + 4410 \, {\left(b^{7} c^{2} d^{5} + 2 \, a b^{6} c d^{6} - 3 \, a^{2} b^{5} d^{7}\right)} x^{5} + 2450 \, {\left(2 \, b^{7} c^{3} d^{4} + 3 \, a b^{6} c^{2} d^{5} + 6 \, a^{2} b^{5} c d^{6} - 11 \, a^{3} b^{4} d^{7}\right)} x^{4} + 1225 \, {\left(3 \, b^{7} c^{4} d^{3} + 4 \, a b^{6} c^{3} d^{4} + 6 \, a^{2} b^{5} c^{2} d^{5} + 12 \, a^{3} b^{4} c d^{6} - 25 \, a^{4} b^{3} d^{7}\right)} x^{3} + 147 \, {\left(12 \, b^{7} c^{5} d^{2} + 15 \, a b^{6} c^{4} d^{3} + 20 \, a^{2} b^{5} c^{3} d^{4} + 30 \, a^{3} b^{4} c^{2} d^{5} + 60 \, a^{4} b^{3} c d^{6} - 137 \, a^{5} b^{2} d^{7}\right)} x^{2} + 49 \, {\left(10 \, b^{7} c^{6} d + 12 \, a b^{6} c^{5} d^{2} + 15 \, a^{2} b^{5} c^{4} d^{3} + 20 \, a^{3} b^{4} c^{3} d^{4} + 30 \, a^{4} b^{3} c^{2} d^{5} + 60 \, a^{5} b^{2} c d^{6} - 147 \, a^{6} b d^{7}\right)} x}{420 \, {\left(b^{15} x^{7} + 7 \, a b^{14} x^{6} + 21 \, a^{2} b^{13} x^{5} + 35 \, a^{3} b^{12} x^{4} + 35 \, a^{4} b^{11} x^{3} + 21 \, a^{5} b^{10} x^{2} + 7 \, a^{6} b^{9} x + a^{7} b^{8}\right)}} + \frac{d^{7} \log\left(b x + a\right)}{b^{8}}"," ",0,"-1/420*(60*b^7*c^7 + 70*a*b^6*c^6*d + 84*a^2*b^5*c^5*d^2 + 105*a^3*b^4*c^4*d^3 + 140*a^4*b^3*c^3*d^4 + 210*a^5*b^2*c^2*d^5 + 420*a^6*b*c*d^6 - 1089*a^7*d^7 + 2940*(b^7*c*d^6 - a*b^6*d^7)*x^6 + 4410*(b^7*c^2*d^5 + 2*a*b^6*c*d^6 - 3*a^2*b^5*d^7)*x^5 + 2450*(2*b^7*c^3*d^4 + 3*a*b^6*c^2*d^5 + 6*a^2*b^5*c*d^6 - 11*a^3*b^4*d^7)*x^4 + 1225*(3*b^7*c^4*d^3 + 4*a*b^6*c^3*d^4 + 6*a^2*b^5*c^2*d^5 + 12*a^3*b^4*c*d^6 - 25*a^4*b^3*d^7)*x^3 + 147*(12*b^7*c^5*d^2 + 15*a*b^6*c^4*d^3 + 20*a^2*b^5*c^3*d^4 + 30*a^3*b^4*c^2*d^5 + 60*a^4*b^3*c*d^6 - 137*a^5*b^2*d^7)*x^2 + 49*(10*b^7*c^6*d + 12*a*b^6*c^5*d^2 + 15*a^2*b^5*c^4*d^3 + 20*a^3*b^4*c^3*d^4 + 30*a^4*b^3*c^2*d^5 + 60*a^5*b^2*c*d^6 - 147*a^6*b*d^7)*x)/(b^15*x^7 + 7*a*b^14*x^6 + 21*a^2*b^13*x^5 + 35*a^3*b^12*x^4 + 35*a^4*b^11*x^3 + 21*a^5*b^10*x^2 + 7*a^6*b^9*x + a^7*b^8) + d^7*log(b*x + a)/b^8","B",0
1291,1,509,0,1.649905," ","integrate((d*x+c)^7/(b*x+a)^9,x, algorithm=""maxima"")","-\frac{8 \, b^{7} d^{7} x^{7} + b^{7} c^{7} + a b^{6} c^{6} d + a^{2} b^{5} c^{5} d^{2} + a^{3} b^{4} c^{4} d^{3} + a^{4} b^{3} c^{3} d^{4} + a^{5} b^{2} c^{2} d^{5} + a^{6} b c d^{6} + a^{7} d^{7} + 28 \, {\left(b^{7} c d^{6} + a b^{6} d^{7}\right)} x^{6} + 56 \, {\left(b^{7} c^{2} d^{5} + a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 70 \, {\left(b^{7} c^{3} d^{4} + a b^{6} c^{2} d^{5} + a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} x^{4} + 56 \, {\left(b^{7} c^{4} d^{3} + a b^{6} c^{3} d^{4} + a^{2} b^{5} c^{2} d^{5} + a^{3} b^{4} c d^{6} + a^{4} b^{3} d^{7}\right)} x^{3} + 28 \, {\left(b^{7} c^{5} d^{2} + a b^{6} c^{4} d^{3} + a^{2} b^{5} c^{3} d^{4} + a^{3} b^{4} c^{2} d^{5} + a^{4} b^{3} c d^{6} + a^{5} b^{2} d^{7}\right)} x^{2} + 8 \, {\left(b^{7} c^{6} d + a b^{6} c^{5} d^{2} + a^{2} b^{5} c^{4} d^{3} + a^{3} b^{4} c^{3} d^{4} + a^{4} b^{3} c^{2} d^{5} + a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x}{8 \, {\left(b^{16} x^{8} + 8 \, a b^{15} x^{7} + 28 \, a^{2} b^{14} x^{6} + 56 \, a^{3} b^{13} x^{5} + 70 \, a^{4} b^{12} x^{4} + 56 \, a^{5} b^{11} x^{3} + 28 \, a^{6} b^{10} x^{2} + 8 \, a^{7} b^{9} x + a^{8} b^{8}\right)}}"," ",0,"-1/8*(8*b^7*d^7*x^7 + b^7*c^7 + a*b^6*c^6*d + a^2*b^5*c^5*d^2 + a^3*b^4*c^4*d^3 + a^4*b^3*c^3*d^4 + a^5*b^2*c^2*d^5 + a^6*b*c*d^6 + a^7*d^7 + 28*(b^7*c*d^6 + a*b^6*d^7)*x^6 + 56*(b^7*c^2*d^5 + a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 70*(b^7*c^3*d^4 + a*b^6*c^2*d^5 + a^2*b^5*c*d^6 + a^3*b^4*d^7)*x^4 + 56*(b^7*c^4*d^3 + a*b^6*c^3*d^4 + a^2*b^5*c^2*d^5 + a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 28*(b^7*c^5*d^2 + a*b^6*c^4*d^3 + a^2*b^5*c^3*d^4 + a^3*b^4*c^2*d^5 + a^4*b^3*c*d^6 + a^5*b^2*d^7)*x^2 + 8*(b^7*c^6*d + a*b^6*c^5*d^2 + a^2*b^5*c^4*d^3 + a^3*b^4*c^3*d^4 + a^4*b^3*c^2*d^5 + a^5*b^2*c*d^6 + a^6*b*d^7)*x)/(b^16*x^8 + 8*a*b^15*x^7 + 28*a^2*b^14*x^6 + 56*a^3*b^13*x^5 + 70*a^4*b^12*x^4 + 56*a^5*b^11*x^3 + 28*a^6*b^10*x^2 + 8*a^7*b^9*x + a^8*b^8)","B",0
1292,1,548,0,1.708784," ","integrate((d*x+c)^7/(b*x+a)^10,x, algorithm=""maxima"")","-\frac{36 \, b^{7} d^{7} x^{7} + 8 \, b^{7} c^{7} + 7 \, a b^{6} c^{6} d + 6 \, a^{2} b^{5} c^{5} d^{2} + 5 \, a^{3} b^{4} c^{4} d^{3} + 4 \, a^{4} b^{3} c^{3} d^{4} + 3 \, a^{5} b^{2} c^{2} d^{5} + 2 \, a^{6} b c d^{6} + a^{7} d^{7} + 84 \, {\left(2 \, b^{7} c d^{6} + a b^{6} d^{7}\right)} x^{6} + 126 \, {\left(3 \, b^{7} c^{2} d^{5} + 2 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 126 \, {\left(4 \, b^{7} c^{3} d^{4} + 3 \, a b^{6} c^{2} d^{5} + 2 \, a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} x^{4} + 84 \, {\left(5 \, b^{7} c^{4} d^{3} + 4 \, a b^{6} c^{3} d^{4} + 3 \, a^{2} b^{5} c^{2} d^{5} + 2 \, a^{3} b^{4} c d^{6} + a^{4} b^{3} d^{7}\right)} x^{3} + 36 \, {\left(6 \, b^{7} c^{5} d^{2} + 5 \, a b^{6} c^{4} d^{3} + 4 \, a^{2} b^{5} c^{3} d^{4} + 3 \, a^{3} b^{4} c^{2} d^{5} + 2 \, a^{4} b^{3} c d^{6} + a^{5} b^{2} d^{7}\right)} x^{2} + 9 \, {\left(7 \, b^{7} c^{6} d + 6 \, a b^{6} c^{5} d^{2} + 5 \, a^{2} b^{5} c^{4} d^{3} + 4 \, a^{3} b^{4} c^{3} d^{4} + 3 \, a^{4} b^{3} c^{2} d^{5} + 2 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x}{72 \, {\left(b^{17} x^{9} + 9 \, a b^{16} x^{8} + 36 \, a^{2} b^{15} x^{7} + 84 \, a^{3} b^{14} x^{6} + 126 \, a^{4} b^{13} x^{5} + 126 \, a^{5} b^{12} x^{4} + 84 \, a^{6} b^{11} x^{3} + 36 \, a^{7} b^{10} x^{2} + 9 \, a^{8} b^{9} x + a^{9} b^{8}\right)}}"," ",0,"-1/72*(36*b^7*d^7*x^7 + 8*b^7*c^7 + 7*a*b^6*c^6*d + 6*a^2*b^5*c^5*d^2 + 5*a^3*b^4*c^4*d^3 + 4*a^4*b^3*c^3*d^4 + 3*a^5*b^2*c^2*d^5 + 2*a^6*b*c*d^6 + a^7*d^7 + 84*(2*b^7*c*d^6 + a*b^6*d^7)*x^6 + 126*(3*b^7*c^2*d^5 + 2*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 126*(4*b^7*c^3*d^4 + 3*a*b^6*c^2*d^5 + 2*a^2*b^5*c*d^6 + a^3*b^4*d^7)*x^4 + 84*(5*b^7*c^4*d^3 + 4*a*b^6*c^3*d^4 + 3*a^2*b^5*c^2*d^5 + 2*a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 36*(6*b^7*c^5*d^2 + 5*a*b^6*c^4*d^3 + 4*a^2*b^5*c^3*d^4 + 3*a^3*b^4*c^2*d^5 + 2*a^4*b^3*c*d^6 + a^5*b^2*d^7)*x^2 + 9*(7*b^7*c^6*d + 6*a*b^6*c^5*d^2 + 5*a^2*b^5*c^4*d^3 + 4*a^3*b^4*c^3*d^4 + 3*a^4*b^3*c^2*d^5 + 2*a^5*b^2*c*d^6 + a^6*b*d^7)*x)/(b^17*x^9 + 9*a*b^16*x^8 + 36*a^2*b^15*x^7 + 84*a^3*b^14*x^6 + 126*a^4*b^13*x^5 + 126*a^5*b^12*x^4 + 84*a^6*b^11*x^3 + 36*a^7*b^10*x^2 + 9*a^8*b^9*x + a^9*b^8)","B",0
1293,1,559,0,1.730759," ","integrate((d*x+c)^7/(b*x+a)^11,x, algorithm=""maxima"")","-\frac{120 \, b^{7} d^{7} x^{7} + 36 \, b^{7} c^{7} + 28 \, a b^{6} c^{6} d + 21 \, a^{2} b^{5} c^{5} d^{2} + 15 \, a^{3} b^{4} c^{4} d^{3} + 10 \, a^{4} b^{3} c^{3} d^{4} + 6 \, a^{5} b^{2} c^{2} d^{5} + 3 \, a^{6} b c d^{6} + a^{7} d^{7} + 210 \, {\left(3 \, b^{7} c d^{6} + a b^{6} d^{7}\right)} x^{6} + 252 \, {\left(6 \, b^{7} c^{2} d^{5} + 3 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 210 \, {\left(10 \, b^{7} c^{3} d^{4} + 6 \, a b^{6} c^{2} d^{5} + 3 \, a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} x^{4} + 120 \, {\left(15 \, b^{7} c^{4} d^{3} + 10 \, a b^{6} c^{3} d^{4} + 6 \, a^{2} b^{5} c^{2} d^{5} + 3 \, a^{3} b^{4} c d^{6} + a^{4} b^{3} d^{7}\right)} x^{3} + 45 \, {\left(21 \, b^{7} c^{5} d^{2} + 15 \, a b^{6} c^{4} d^{3} + 10 \, a^{2} b^{5} c^{3} d^{4} + 6 \, a^{3} b^{4} c^{2} d^{5} + 3 \, a^{4} b^{3} c d^{6} + a^{5} b^{2} d^{7}\right)} x^{2} + 10 \, {\left(28 \, b^{7} c^{6} d + 21 \, a b^{6} c^{5} d^{2} + 15 \, a^{2} b^{5} c^{4} d^{3} + 10 \, a^{3} b^{4} c^{3} d^{4} + 6 \, a^{4} b^{3} c^{2} d^{5} + 3 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x}{360 \, {\left(b^{18} x^{10} + 10 \, a b^{17} x^{9} + 45 \, a^{2} b^{16} x^{8} + 120 \, a^{3} b^{15} x^{7} + 210 \, a^{4} b^{14} x^{6} + 252 \, a^{5} b^{13} x^{5} + 210 \, a^{6} b^{12} x^{4} + 120 \, a^{7} b^{11} x^{3} + 45 \, a^{8} b^{10} x^{2} + 10 \, a^{9} b^{9} x + a^{10} b^{8}\right)}}"," ",0,"-1/360*(120*b^7*d^7*x^7 + 36*b^7*c^7 + 28*a*b^6*c^6*d + 21*a^2*b^5*c^5*d^2 + 15*a^3*b^4*c^4*d^3 + 10*a^4*b^3*c^3*d^4 + 6*a^5*b^2*c^2*d^5 + 3*a^6*b*c*d^6 + a^7*d^7 + 210*(3*b^7*c*d^6 + a*b^6*d^7)*x^6 + 252*(6*b^7*c^2*d^5 + 3*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 210*(10*b^7*c^3*d^4 + 6*a*b^6*c^2*d^5 + 3*a^2*b^5*c*d^6 + a^3*b^4*d^7)*x^4 + 120*(15*b^7*c^4*d^3 + 10*a*b^6*c^3*d^4 + 6*a^2*b^5*c^2*d^5 + 3*a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 45*(21*b^7*c^5*d^2 + 15*a*b^6*c^4*d^3 + 10*a^2*b^5*c^3*d^4 + 6*a^3*b^4*c^2*d^5 + 3*a^4*b^3*c*d^6 + a^5*b^2*d^7)*x^2 + 10*(28*b^7*c^6*d + 21*a*b^6*c^5*d^2 + 15*a^2*b^5*c^4*d^3 + 10*a^3*b^4*c^3*d^4 + 6*a^4*b^3*c^2*d^5 + 3*a^5*b^2*c*d^6 + a^6*b*d^7)*x)/(b^18*x^10 + 10*a*b^17*x^9 + 45*a^2*b^16*x^8 + 120*a^3*b^15*x^7 + 210*a^4*b^14*x^6 + 252*a^5*b^13*x^5 + 210*a^6*b^12*x^4 + 120*a^7*b^11*x^3 + 45*a^8*b^10*x^2 + 10*a^9*b^9*x + a^10*b^8)","B",0
1294,1,570,0,1.812284," ","integrate((d*x+c)^7/(b*x+a)^12,x, algorithm=""maxima"")","-\frac{330 \, b^{7} d^{7} x^{7} + 120 \, b^{7} c^{7} + 84 \, a b^{6} c^{6} d + 56 \, a^{2} b^{5} c^{5} d^{2} + 35 \, a^{3} b^{4} c^{4} d^{3} + 20 \, a^{4} b^{3} c^{3} d^{4} + 10 \, a^{5} b^{2} c^{2} d^{5} + 4 \, a^{6} b c d^{6} + a^{7} d^{7} + 462 \, {\left(4 \, b^{7} c d^{6} + a b^{6} d^{7}\right)} x^{6} + 462 \, {\left(10 \, b^{7} c^{2} d^{5} + 4 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 330 \, {\left(20 \, b^{7} c^{3} d^{4} + 10 \, a b^{6} c^{2} d^{5} + 4 \, a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} x^{4} + 165 \, {\left(35 \, b^{7} c^{4} d^{3} + 20 \, a b^{6} c^{3} d^{4} + 10 \, a^{2} b^{5} c^{2} d^{5} + 4 \, a^{3} b^{4} c d^{6} + a^{4} b^{3} d^{7}\right)} x^{3} + 55 \, {\left(56 \, b^{7} c^{5} d^{2} + 35 \, a b^{6} c^{4} d^{3} + 20 \, a^{2} b^{5} c^{3} d^{4} + 10 \, a^{3} b^{4} c^{2} d^{5} + 4 \, a^{4} b^{3} c d^{6} + a^{5} b^{2} d^{7}\right)} x^{2} + 11 \, {\left(84 \, b^{7} c^{6} d + 56 \, a b^{6} c^{5} d^{2} + 35 \, a^{2} b^{5} c^{4} d^{3} + 20 \, a^{3} b^{4} c^{3} d^{4} + 10 \, a^{4} b^{3} c^{2} d^{5} + 4 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x}{1320 \, {\left(b^{19} x^{11} + 11 \, a b^{18} x^{10} + 55 \, a^{2} b^{17} x^{9} + 165 \, a^{3} b^{16} x^{8} + 330 \, a^{4} b^{15} x^{7} + 462 \, a^{5} b^{14} x^{6} + 462 \, a^{6} b^{13} x^{5} + 330 \, a^{7} b^{12} x^{4} + 165 \, a^{8} b^{11} x^{3} + 55 \, a^{9} b^{10} x^{2} + 11 \, a^{10} b^{9} x + a^{11} b^{8}\right)}}"," ",0,"-1/1320*(330*b^7*d^7*x^7 + 120*b^7*c^7 + 84*a*b^6*c^6*d + 56*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 + 20*a^4*b^3*c^3*d^4 + 10*a^5*b^2*c^2*d^5 + 4*a^6*b*c*d^6 + a^7*d^7 + 462*(4*b^7*c*d^6 + a*b^6*d^7)*x^6 + 462*(10*b^7*c^2*d^5 + 4*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 330*(20*b^7*c^3*d^4 + 10*a*b^6*c^2*d^5 + 4*a^2*b^5*c*d^6 + a^3*b^4*d^7)*x^4 + 165*(35*b^7*c^4*d^3 + 20*a*b^6*c^3*d^4 + 10*a^2*b^5*c^2*d^5 + 4*a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 55*(56*b^7*c^5*d^2 + 35*a*b^6*c^4*d^3 + 20*a^2*b^5*c^3*d^4 + 10*a^3*b^4*c^2*d^5 + 4*a^4*b^3*c*d^6 + a^5*b^2*d^7)*x^2 + 11*(84*b^7*c^6*d + 56*a*b^6*c^5*d^2 + 35*a^2*b^5*c^4*d^3 + 20*a^3*b^4*c^3*d^4 + 10*a^4*b^3*c^2*d^5 + 4*a^5*b^2*c*d^6 + a^6*b*d^7)*x)/(b^19*x^11 + 11*a*b^18*x^10 + 55*a^2*b^17*x^9 + 165*a^3*b^16*x^8 + 330*a^4*b^15*x^7 + 462*a^5*b^14*x^6 + 462*a^6*b^13*x^5 + 330*a^7*b^12*x^4 + 165*a^8*b^11*x^3 + 55*a^9*b^10*x^2 + 11*a^10*b^9*x + a^11*b^8)","B",0
1295,1,581,0,1.756535," ","integrate((d*x+c)^7/(b*x+a)^13,x, algorithm=""maxima"")","-\frac{792 \, b^{7} d^{7} x^{7} + 330 \, b^{7} c^{7} + 210 \, a b^{6} c^{6} d + 126 \, a^{2} b^{5} c^{5} d^{2} + 70 \, a^{3} b^{4} c^{4} d^{3} + 35 \, a^{4} b^{3} c^{3} d^{4} + 15 \, a^{5} b^{2} c^{2} d^{5} + 5 \, a^{6} b c d^{6} + a^{7} d^{7} + 924 \, {\left(5 \, b^{7} c d^{6} + a b^{6} d^{7}\right)} x^{6} + 792 \, {\left(15 \, b^{7} c^{2} d^{5} + 5 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 495 \, {\left(35 \, b^{7} c^{3} d^{4} + 15 \, a b^{6} c^{2} d^{5} + 5 \, a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} x^{4} + 220 \, {\left(70 \, b^{7} c^{4} d^{3} + 35 \, a b^{6} c^{3} d^{4} + 15 \, a^{2} b^{5} c^{2} d^{5} + 5 \, a^{3} b^{4} c d^{6} + a^{4} b^{3} d^{7}\right)} x^{3} + 66 \, {\left(126 \, b^{7} c^{5} d^{2} + 70 \, a b^{6} c^{4} d^{3} + 35 \, a^{2} b^{5} c^{3} d^{4} + 15 \, a^{3} b^{4} c^{2} d^{5} + 5 \, a^{4} b^{3} c d^{6} + a^{5} b^{2} d^{7}\right)} x^{2} + 12 \, {\left(210 \, b^{7} c^{6} d + 126 \, a b^{6} c^{5} d^{2} + 70 \, a^{2} b^{5} c^{4} d^{3} + 35 \, a^{3} b^{4} c^{3} d^{4} + 15 \, a^{4} b^{3} c^{2} d^{5} + 5 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x}{3960 \, {\left(b^{20} x^{12} + 12 \, a b^{19} x^{11} + 66 \, a^{2} b^{18} x^{10} + 220 \, a^{3} b^{17} x^{9} + 495 \, a^{4} b^{16} x^{8} + 792 \, a^{5} b^{15} x^{7} + 924 \, a^{6} b^{14} x^{6} + 792 \, a^{7} b^{13} x^{5} + 495 \, a^{8} b^{12} x^{4} + 220 \, a^{9} b^{11} x^{3} + 66 \, a^{10} b^{10} x^{2} + 12 \, a^{11} b^{9} x + a^{12} b^{8}\right)}}"," ",0,"-1/3960*(792*b^7*d^7*x^7 + 330*b^7*c^7 + 210*a*b^6*c^6*d + 126*a^2*b^5*c^5*d^2 + 70*a^3*b^4*c^4*d^3 + 35*a^4*b^3*c^3*d^4 + 15*a^5*b^2*c^2*d^5 + 5*a^6*b*c*d^6 + a^7*d^7 + 924*(5*b^7*c*d^6 + a*b^6*d^7)*x^6 + 792*(15*b^7*c^2*d^5 + 5*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 495*(35*b^7*c^3*d^4 + 15*a*b^6*c^2*d^5 + 5*a^2*b^5*c*d^6 + a^3*b^4*d^7)*x^4 + 220*(70*b^7*c^4*d^3 + 35*a*b^6*c^3*d^4 + 15*a^2*b^5*c^2*d^5 + 5*a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 66*(126*b^7*c^5*d^2 + 70*a*b^6*c^4*d^3 + 35*a^2*b^5*c^3*d^4 + 15*a^3*b^4*c^2*d^5 + 5*a^4*b^3*c*d^6 + a^5*b^2*d^7)*x^2 + 12*(210*b^7*c^6*d + 126*a*b^6*c^5*d^2 + 70*a^2*b^5*c^4*d^3 + 35*a^3*b^4*c^3*d^4 + 15*a^4*b^3*c^2*d^5 + 5*a^5*b^2*c*d^6 + a^6*b*d^7)*x)/(b^20*x^12 + 12*a*b^19*x^11 + 66*a^2*b^18*x^10 + 220*a^3*b^17*x^9 + 495*a^4*b^16*x^8 + 792*a^5*b^15*x^7 + 924*a^6*b^14*x^6 + 792*a^7*b^13*x^5 + 495*a^8*b^12*x^4 + 220*a^9*b^11*x^3 + 66*a^10*b^10*x^2 + 12*a^11*b^9*x + a^12*b^8)","B",0
1296,1,592,0,1.744856," ","integrate((d*x+c)^7/(b*x+a)^14,x, algorithm=""maxima"")","-\frac{1716 \, b^{7} d^{7} x^{7} + 792 \, b^{7} c^{7} + 462 \, a b^{6} c^{6} d + 252 \, a^{2} b^{5} c^{5} d^{2} + 126 \, a^{3} b^{4} c^{4} d^{3} + 56 \, a^{4} b^{3} c^{3} d^{4} + 21 \, a^{5} b^{2} c^{2} d^{5} + 6 \, a^{6} b c d^{6} + a^{7} d^{7} + 1716 \, {\left(6 \, b^{7} c d^{6} + a b^{6} d^{7}\right)} x^{6} + 1287 \, {\left(21 \, b^{7} c^{2} d^{5} + 6 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 715 \, {\left(56 \, b^{7} c^{3} d^{4} + 21 \, a b^{6} c^{2} d^{5} + 6 \, a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} x^{4} + 286 \, {\left(126 \, b^{7} c^{4} d^{3} + 56 \, a b^{6} c^{3} d^{4} + 21 \, a^{2} b^{5} c^{2} d^{5} + 6 \, a^{3} b^{4} c d^{6} + a^{4} b^{3} d^{7}\right)} x^{3} + 78 \, {\left(252 \, b^{7} c^{5} d^{2} + 126 \, a b^{6} c^{4} d^{3} + 56 \, a^{2} b^{5} c^{3} d^{4} + 21 \, a^{3} b^{4} c^{2} d^{5} + 6 \, a^{4} b^{3} c d^{6} + a^{5} b^{2} d^{7}\right)} x^{2} + 13 \, {\left(462 \, b^{7} c^{6} d + 252 \, a b^{6} c^{5} d^{2} + 126 \, a^{2} b^{5} c^{4} d^{3} + 56 \, a^{3} b^{4} c^{3} d^{4} + 21 \, a^{4} b^{3} c^{2} d^{5} + 6 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x}{10296 \, {\left(b^{21} x^{13} + 13 \, a b^{20} x^{12} + 78 \, a^{2} b^{19} x^{11} + 286 \, a^{3} b^{18} x^{10} + 715 \, a^{4} b^{17} x^{9} + 1287 \, a^{5} b^{16} x^{8} + 1716 \, a^{6} b^{15} x^{7} + 1716 \, a^{7} b^{14} x^{6} + 1287 \, a^{8} b^{13} x^{5} + 715 \, a^{9} b^{12} x^{4} + 286 \, a^{10} b^{11} x^{3} + 78 \, a^{11} b^{10} x^{2} + 13 \, a^{12} b^{9} x + a^{13} b^{8}\right)}}"," ",0,"-1/10296*(1716*b^7*d^7*x^7 + 792*b^7*c^7 + 462*a*b^6*c^6*d + 252*a^2*b^5*c^5*d^2 + 126*a^3*b^4*c^4*d^3 + 56*a^4*b^3*c^3*d^4 + 21*a^5*b^2*c^2*d^5 + 6*a^6*b*c*d^6 + a^7*d^7 + 1716*(6*b^7*c*d^6 + a*b^6*d^7)*x^6 + 1287*(21*b^7*c^2*d^5 + 6*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 715*(56*b^7*c^3*d^4 + 21*a*b^6*c^2*d^5 + 6*a^2*b^5*c*d^6 + a^3*b^4*d^7)*x^4 + 286*(126*b^7*c^4*d^3 + 56*a*b^6*c^3*d^4 + 21*a^2*b^5*c^2*d^5 + 6*a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 78*(252*b^7*c^5*d^2 + 126*a*b^6*c^4*d^3 + 56*a^2*b^5*c^3*d^4 + 21*a^3*b^4*c^2*d^5 + 6*a^4*b^3*c*d^6 + a^5*b^2*d^7)*x^2 + 13*(462*b^7*c^6*d + 252*a*b^6*c^5*d^2 + 126*a^2*b^5*c^4*d^3 + 56*a^3*b^4*c^3*d^4 + 21*a^4*b^3*c^2*d^5 + 6*a^5*b^2*c*d^6 + a^6*b*d^7)*x)/(b^21*x^13 + 13*a*b^20*x^12 + 78*a^2*b^19*x^11 + 286*a^3*b^18*x^10 + 715*a^4*b^17*x^9 + 1287*a^5*b^16*x^8 + 1716*a^6*b^15*x^7 + 1716*a^7*b^14*x^6 + 1287*a^8*b^13*x^5 + 715*a^9*b^12*x^4 + 286*a^10*b^11*x^3 + 78*a^11*b^10*x^2 + 13*a^12*b^9*x + a^13*b^8)","B",0
1297,1,603,0,1.834955," ","integrate((d*x+c)^7/(b*x+a)^15,x, algorithm=""maxima"")","-\frac{3432 \, b^{7} d^{7} x^{7} + 1716 \, b^{7} c^{7} + 924 \, a b^{6} c^{6} d + 462 \, a^{2} b^{5} c^{5} d^{2} + 210 \, a^{3} b^{4} c^{4} d^{3} + 84 \, a^{4} b^{3} c^{3} d^{4} + 28 \, a^{5} b^{2} c^{2} d^{5} + 7 \, a^{6} b c d^{6} + a^{7} d^{7} + 3003 \, {\left(7 \, b^{7} c d^{6} + a b^{6} d^{7}\right)} x^{6} + 2002 \, {\left(28 \, b^{7} c^{2} d^{5} + 7 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 1001 \, {\left(84 \, b^{7} c^{3} d^{4} + 28 \, a b^{6} c^{2} d^{5} + 7 \, a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} x^{4} + 364 \, {\left(210 \, b^{7} c^{4} d^{3} + 84 \, a b^{6} c^{3} d^{4} + 28 \, a^{2} b^{5} c^{2} d^{5} + 7 \, a^{3} b^{4} c d^{6} + a^{4} b^{3} d^{7}\right)} x^{3} + 91 \, {\left(462 \, b^{7} c^{5} d^{2} + 210 \, a b^{6} c^{4} d^{3} + 84 \, a^{2} b^{5} c^{3} d^{4} + 28 \, a^{3} b^{4} c^{2} d^{5} + 7 \, a^{4} b^{3} c d^{6} + a^{5} b^{2} d^{7}\right)} x^{2} + 14 \, {\left(924 \, b^{7} c^{6} d + 462 \, a b^{6} c^{5} d^{2} + 210 \, a^{2} b^{5} c^{4} d^{3} + 84 \, a^{3} b^{4} c^{3} d^{4} + 28 \, a^{4} b^{3} c^{2} d^{5} + 7 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x}{24024 \, {\left(b^{22} x^{14} + 14 \, a b^{21} x^{13} + 91 \, a^{2} b^{20} x^{12} + 364 \, a^{3} b^{19} x^{11} + 1001 \, a^{4} b^{18} x^{10} + 2002 \, a^{5} b^{17} x^{9} + 3003 \, a^{6} b^{16} x^{8} + 3432 \, a^{7} b^{15} x^{7} + 3003 \, a^{8} b^{14} x^{6} + 2002 \, a^{9} b^{13} x^{5} + 1001 \, a^{10} b^{12} x^{4} + 364 \, a^{11} b^{11} x^{3} + 91 \, a^{12} b^{10} x^{2} + 14 \, a^{13} b^{9} x + a^{14} b^{8}\right)}}"," ",0,"-1/24024*(3432*b^7*d^7*x^7 + 1716*b^7*c^7 + 924*a*b^6*c^6*d + 462*a^2*b^5*c^5*d^2 + 210*a^3*b^4*c^4*d^3 + 84*a^4*b^3*c^3*d^4 + 28*a^5*b^2*c^2*d^5 + 7*a^6*b*c*d^6 + a^7*d^7 + 3003*(7*b^7*c*d^6 + a*b^6*d^7)*x^6 + 2002*(28*b^7*c^2*d^5 + 7*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 1001*(84*b^7*c^3*d^4 + 28*a*b^6*c^2*d^5 + 7*a^2*b^5*c*d^6 + a^3*b^4*d^7)*x^4 + 364*(210*b^7*c^4*d^3 + 84*a*b^6*c^3*d^4 + 28*a^2*b^5*c^2*d^5 + 7*a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 91*(462*b^7*c^5*d^2 + 210*a*b^6*c^4*d^3 + 84*a^2*b^5*c^3*d^4 + 28*a^3*b^4*c^2*d^5 + 7*a^4*b^3*c*d^6 + a^5*b^2*d^7)*x^2 + 14*(924*b^7*c^6*d + 462*a*b^6*c^5*d^2 + 210*a^2*b^5*c^4*d^3 + 84*a^3*b^4*c^3*d^4 + 28*a^4*b^3*c^2*d^5 + 7*a^5*b^2*c*d^6 + a^6*b*d^7)*x)/(b^22*x^14 + 14*a*b^21*x^13 + 91*a^2*b^20*x^12 + 364*a^3*b^19*x^11 + 1001*a^4*b^18*x^10 + 2002*a^5*b^17*x^9 + 3003*a^6*b^16*x^8 + 3432*a^7*b^15*x^7 + 3003*a^8*b^14*x^6 + 2002*a^9*b^13*x^5 + 1001*a^10*b^12*x^4 + 364*a^11*b^11*x^3 + 91*a^12*b^10*x^2 + 14*a^13*b^9*x + a^14*b^8)","B",0
1298,1,614,0,1.911399," ","integrate((d*x+c)^7/(b*x+a)^16,x, algorithm=""maxima"")","-\frac{6435 \, b^{7} d^{7} x^{7} + 3432 \, b^{7} c^{7} + 1716 \, a b^{6} c^{6} d + 792 \, a^{2} b^{5} c^{5} d^{2} + 330 \, a^{3} b^{4} c^{4} d^{3} + 120 \, a^{4} b^{3} c^{3} d^{4} + 36 \, a^{5} b^{2} c^{2} d^{5} + 8 \, a^{6} b c d^{6} + a^{7} d^{7} + 5005 \, {\left(8 \, b^{7} c d^{6} + a b^{6} d^{7}\right)} x^{6} + 3003 \, {\left(36 \, b^{7} c^{2} d^{5} + 8 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 1365 \, {\left(120 \, b^{7} c^{3} d^{4} + 36 \, a b^{6} c^{2} d^{5} + 8 \, a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} x^{4} + 455 \, {\left(330 \, b^{7} c^{4} d^{3} + 120 \, a b^{6} c^{3} d^{4} + 36 \, a^{2} b^{5} c^{2} d^{5} + 8 \, a^{3} b^{4} c d^{6} + a^{4} b^{3} d^{7}\right)} x^{3} + 105 \, {\left(792 \, b^{7} c^{5} d^{2} + 330 \, a b^{6} c^{4} d^{3} + 120 \, a^{2} b^{5} c^{3} d^{4} + 36 \, a^{3} b^{4} c^{2} d^{5} + 8 \, a^{4} b^{3} c d^{6} + a^{5} b^{2} d^{7}\right)} x^{2} + 15 \, {\left(1716 \, b^{7} c^{6} d + 792 \, a b^{6} c^{5} d^{2} + 330 \, a^{2} b^{5} c^{4} d^{3} + 120 \, a^{3} b^{4} c^{3} d^{4} + 36 \, a^{4} b^{3} c^{2} d^{5} + 8 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x}{51480 \, {\left(b^{23} x^{15} + 15 \, a b^{22} x^{14} + 105 \, a^{2} b^{21} x^{13} + 455 \, a^{3} b^{20} x^{12} + 1365 \, a^{4} b^{19} x^{11} + 3003 \, a^{5} b^{18} x^{10} + 5005 \, a^{6} b^{17} x^{9} + 6435 \, a^{7} b^{16} x^{8} + 6435 \, a^{8} b^{15} x^{7} + 5005 \, a^{9} b^{14} x^{6} + 3003 \, a^{10} b^{13} x^{5} + 1365 \, a^{11} b^{12} x^{4} + 455 \, a^{12} b^{11} x^{3} + 105 \, a^{13} b^{10} x^{2} + 15 \, a^{14} b^{9} x + a^{15} b^{8}\right)}}"," ",0,"-1/51480*(6435*b^7*d^7*x^7 + 3432*b^7*c^7 + 1716*a*b^6*c^6*d + 792*a^2*b^5*c^5*d^2 + 330*a^3*b^4*c^4*d^3 + 120*a^4*b^3*c^3*d^4 + 36*a^5*b^2*c^2*d^5 + 8*a^6*b*c*d^6 + a^7*d^7 + 5005*(8*b^7*c*d^6 + a*b^6*d^7)*x^6 + 3003*(36*b^7*c^2*d^5 + 8*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 1365*(120*b^7*c^3*d^4 + 36*a*b^6*c^2*d^5 + 8*a^2*b^5*c*d^6 + a^3*b^4*d^7)*x^4 + 455*(330*b^7*c^4*d^3 + 120*a*b^6*c^3*d^4 + 36*a^2*b^5*c^2*d^5 + 8*a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 105*(792*b^7*c^5*d^2 + 330*a*b^6*c^4*d^3 + 120*a^2*b^5*c^3*d^4 + 36*a^3*b^4*c^2*d^5 + 8*a^4*b^3*c*d^6 + a^5*b^2*d^7)*x^2 + 15*(1716*b^7*c^6*d + 792*a*b^6*c^5*d^2 + 330*a^2*b^5*c^4*d^3 + 120*a^3*b^4*c^3*d^4 + 36*a^4*b^3*c^2*d^5 + 8*a^5*b^2*c*d^6 + a^6*b*d^7)*x)/(b^23*x^15 + 15*a*b^22*x^14 + 105*a^2*b^21*x^13 + 455*a^3*b^20*x^12 + 1365*a^4*b^19*x^11 + 3003*a^5*b^18*x^10 + 5005*a^6*b^17*x^9 + 6435*a^7*b^16*x^8 + 6435*a^8*b^15*x^7 + 5005*a^9*b^14*x^6 + 3003*a^10*b^13*x^5 + 1365*a^11*b^12*x^4 + 455*a^12*b^11*x^3 + 105*a^13*b^10*x^2 + 15*a^14*b^9*x + a^15*b^8)","B",0
1299,1,1877,0,1.546036," ","integrate((b*x+a)^12*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{23} \, b^{12} d^{10} x^{23} + a^{12} c^{10} x + \frac{1}{11} \, {\left(5 \, b^{12} c d^{9} + 6 \, a b^{11} d^{10}\right)} x^{22} + \frac{1}{7} \, {\left(15 \, b^{12} c^{2} d^{8} + 40 \, a b^{11} c d^{9} + 22 \, a^{2} b^{10} d^{10}\right)} x^{21} + {\left(6 \, b^{12} c^{3} d^{7} + 27 \, a b^{11} c^{2} d^{8} + 33 \, a^{2} b^{10} c d^{9} + 11 \, a^{3} b^{9} d^{10}\right)} x^{20} + \frac{5}{19} \, {\left(42 \, b^{12} c^{4} d^{6} + 288 \, a b^{11} c^{3} d^{7} + 594 \, a^{2} b^{10} c^{2} d^{8} + 440 \, a^{3} b^{9} c d^{9} + 99 \, a^{4} b^{8} d^{10}\right)} x^{19} + {\left(14 \, b^{12} c^{5} d^{5} + 140 \, a b^{11} c^{4} d^{6} + 440 \, a^{2} b^{10} c^{3} d^{7} + 550 \, a^{3} b^{9} c^{2} d^{8} + 275 \, a^{4} b^{8} c d^{9} + 44 \, a^{5} b^{7} d^{10}\right)} x^{18} + \frac{3}{17} \, {\left(70 \, b^{12} c^{6} d^{4} + 1008 \, a b^{11} c^{5} d^{5} + 4620 \, a^{2} b^{10} c^{4} d^{6} + 8800 \, a^{3} b^{9} c^{3} d^{7} + 7425 \, a^{4} b^{8} c^{2} d^{8} + 2640 \, a^{5} b^{7} c d^{9} + 308 \, a^{6} b^{6} d^{10}\right)} x^{17} + \frac{3}{2} \, {\left(5 \, b^{12} c^{7} d^{3} + 105 \, a b^{11} c^{6} d^{4} + 693 \, a^{2} b^{10} c^{5} d^{5} + 1925 \, a^{3} b^{9} c^{4} d^{6} + 2475 \, a^{4} b^{8} c^{3} d^{7} + 1485 \, a^{5} b^{7} c^{2} d^{8} + 385 \, a^{6} b^{6} c d^{9} + 33 \, a^{7} b^{5} d^{10}\right)} x^{16} + 3 \, {\left(b^{12} c^{8} d^{2} + 32 \, a b^{11} c^{7} d^{3} + 308 \, a^{2} b^{10} c^{6} d^{4} + 1232 \, a^{3} b^{9} c^{5} d^{5} + 2310 \, a^{4} b^{8} c^{4} d^{6} + 2112 \, a^{5} b^{7} c^{3} d^{7} + 924 \, a^{6} b^{6} c^{2} d^{8} + 176 \, a^{7} b^{5} c d^{9} + 11 \, a^{8} b^{4} d^{10}\right)} x^{15} + \frac{5}{7} \, {\left(b^{12} c^{9} d + 54 \, a b^{11} c^{8} d^{2} + 792 \, a^{2} b^{10} c^{7} d^{3} + 4620 \, a^{3} b^{9} c^{6} d^{4} + 12474 \, a^{4} b^{8} c^{5} d^{5} + 16632 \, a^{5} b^{7} c^{4} d^{6} + 11088 \, a^{6} b^{6} c^{3} d^{7} + 3564 \, a^{7} b^{5} c^{2} d^{8} + 495 \, a^{8} b^{4} c d^{9} + 22 \, a^{9} b^{3} d^{10}\right)} x^{14} + \frac{1}{13} \, {\left(b^{12} c^{10} + 120 \, a b^{11} c^{9} d + 2970 \, a^{2} b^{10} c^{8} d^{2} + 26400 \, a^{3} b^{9} c^{7} d^{3} + 103950 \, a^{4} b^{8} c^{6} d^{4} + 199584 \, a^{5} b^{7} c^{5} d^{5} + 194040 \, a^{6} b^{6} c^{4} d^{6} + 95040 \, a^{7} b^{5} c^{3} d^{7} + 22275 \, a^{8} b^{4} c^{2} d^{8} + 2200 \, a^{9} b^{3} c d^{9} + 66 \, a^{10} b^{2} d^{10}\right)} x^{13} + {\left(a b^{11} c^{10} + 55 \, a^{2} b^{10} c^{9} d + 825 \, a^{3} b^{9} c^{8} d^{2} + 4950 \, a^{4} b^{8} c^{7} d^{3} + 13860 \, a^{5} b^{7} c^{6} d^{4} + 19404 \, a^{6} b^{6} c^{5} d^{5} + 13860 \, a^{7} b^{5} c^{4} d^{6} + 4950 \, a^{8} b^{4} c^{3} d^{7} + 825 \, a^{9} b^{3} c^{2} d^{8} + 55 \, a^{10} b^{2} c d^{9} + a^{11} b d^{10}\right)} x^{12} + \frac{1}{11} \, {\left(66 \, a^{2} b^{10} c^{10} + 2200 \, a^{3} b^{9} c^{9} d + 22275 \, a^{4} b^{8} c^{8} d^{2} + 95040 \, a^{5} b^{7} c^{7} d^{3} + 194040 \, a^{6} b^{6} c^{6} d^{4} + 199584 \, a^{7} b^{5} c^{5} d^{5} + 103950 \, a^{8} b^{4} c^{4} d^{6} + 26400 \, a^{9} b^{3} c^{3} d^{7} + 2970 \, a^{10} b^{2} c^{2} d^{8} + 120 \, a^{11} b c d^{9} + a^{12} d^{10}\right)} x^{11} + {\left(22 \, a^{3} b^{9} c^{10} + 495 \, a^{4} b^{8} c^{9} d + 3564 \, a^{5} b^{7} c^{8} d^{2} + 11088 \, a^{6} b^{6} c^{7} d^{3} + 16632 \, a^{7} b^{5} c^{6} d^{4} + 12474 \, a^{8} b^{4} c^{5} d^{5} + 4620 \, a^{9} b^{3} c^{4} d^{6} + 792 \, a^{10} b^{2} c^{3} d^{7} + 54 \, a^{11} b c^{2} d^{8} + a^{12} c d^{9}\right)} x^{10} + 5 \, {\left(11 \, a^{4} b^{8} c^{10} + 176 \, a^{5} b^{7} c^{9} d + 924 \, a^{6} b^{6} c^{8} d^{2} + 2112 \, a^{7} b^{5} c^{7} d^{3} + 2310 \, a^{8} b^{4} c^{6} d^{4} + 1232 \, a^{9} b^{3} c^{5} d^{5} + 308 \, a^{10} b^{2} c^{4} d^{6} + 32 \, a^{11} b c^{3} d^{7} + a^{12} c^{2} d^{8}\right)} x^{9} + 3 \, {\left(33 \, a^{5} b^{7} c^{10} + 385 \, a^{6} b^{6} c^{9} d + 1485 \, a^{7} b^{5} c^{8} d^{2} + 2475 \, a^{8} b^{4} c^{7} d^{3} + 1925 \, a^{9} b^{3} c^{6} d^{4} + 693 \, a^{10} b^{2} c^{5} d^{5} + 105 \, a^{11} b c^{4} d^{6} + 5 \, a^{12} c^{3} d^{7}\right)} x^{8} + \frac{3}{7} \, {\left(308 \, a^{6} b^{6} c^{10} + 2640 \, a^{7} b^{5} c^{9} d + 7425 \, a^{8} b^{4} c^{8} d^{2} + 8800 \, a^{9} b^{3} c^{7} d^{3} + 4620 \, a^{10} b^{2} c^{6} d^{4} + 1008 \, a^{11} b c^{5} d^{5} + 70 \, a^{12} c^{4} d^{6}\right)} x^{7} + 3 \, {\left(44 \, a^{7} b^{5} c^{10} + 275 \, a^{8} b^{4} c^{9} d + 550 \, a^{9} b^{3} c^{8} d^{2} + 440 \, a^{10} b^{2} c^{7} d^{3} + 140 \, a^{11} b c^{6} d^{4} + 14 \, a^{12} c^{5} d^{5}\right)} x^{6} + {\left(99 \, a^{8} b^{4} c^{10} + 440 \, a^{9} b^{3} c^{9} d + 594 \, a^{10} b^{2} c^{8} d^{2} + 288 \, a^{11} b c^{7} d^{3} + 42 \, a^{12} c^{6} d^{4}\right)} x^{5} + 5 \, {\left(11 \, a^{9} b^{3} c^{10} + 33 \, a^{10} b^{2} c^{9} d + 27 \, a^{11} b c^{8} d^{2} + 6 \, a^{12} c^{7} d^{3}\right)} x^{4} + {\left(22 \, a^{10} b^{2} c^{10} + 40 \, a^{11} b c^{9} d + 15 \, a^{12} c^{8} d^{2}\right)} x^{3} + {\left(6 \, a^{11} b c^{10} + 5 \, a^{12} c^{9} d\right)} x^{2}"," ",0,"1/23*b^12*d^10*x^23 + a^12*c^10*x + 1/11*(5*b^12*c*d^9 + 6*a*b^11*d^10)*x^22 + 1/7*(15*b^12*c^2*d^8 + 40*a*b^11*c*d^9 + 22*a^2*b^10*d^10)*x^21 + (6*b^12*c^3*d^7 + 27*a*b^11*c^2*d^8 + 33*a^2*b^10*c*d^9 + 11*a^3*b^9*d^10)*x^20 + 5/19*(42*b^12*c^4*d^6 + 288*a*b^11*c^3*d^7 + 594*a^2*b^10*c^2*d^8 + 440*a^3*b^9*c*d^9 + 99*a^4*b^8*d^10)*x^19 + (14*b^12*c^5*d^5 + 140*a*b^11*c^4*d^6 + 440*a^2*b^10*c^3*d^7 + 550*a^3*b^9*c^2*d^8 + 275*a^4*b^8*c*d^9 + 44*a^5*b^7*d^10)*x^18 + 3/17*(70*b^12*c^6*d^4 + 1008*a*b^11*c^5*d^5 + 4620*a^2*b^10*c^4*d^6 + 8800*a^3*b^9*c^3*d^7 + 7425*a^4*b^8*c^2*d^8 + 2640*a^5*b^7*c*d^9 + 308*a^6*b^6*d^10)*x^17 + 3/2*(5*b^12*c^7*d^3 + 105*a*b^11*c^6*d^4 + 693*a^2*b^10*c^5*d^5 + 1925*a^3*b^9*c^4*d^6 + 2475*a^4*b^8*c^3*d^7 + 1485*a^5*b^7*c^2*d^8 + 385*a^6*b^6*c*d^9 + 33*a^7*b^5*d^10)*x^16 + 3*(b^12*c^8*d^2 + 32*a*b^11*c^7*d^3 + 308*a^2*b^10*c^6*d^4 + 1232*a^3*b^9*c^5*d^5 + 2310*a^4*b^8*c^4*d^6 + 2112*a^5*b^7*c^3*d^7 + 924*a^6*b^6*c^2*d^8 + 176*a^7*b^5*c*d^9 + 11*a^8*b^4*d^10)*x^15 + 5/7*(b^12*c^9*d + 54*a*b^11*c^8*d^2 + 792*a^2*b^10*c^7*d^3 + 4620*a^3*b^9*c^6*d^4 + 12474*a^4*b^8*c^5*d^5 + 16632*a^5*b^7*c^4*d^6 + 11088*a^6*b^6*c^3*d^7 + 3564*a^7*b^5*c^2*d^8 + 495*a^8*b^4*c*d^9 + 22*a^9*b^3*d^10)*x^14 + 1/13*(b^12*c^10 + 120*a*b^11*c^9*d + 2970*a^2*b^10*c^8*d^2 + 26400*a^3*b^9*c^7*d^3 + 103950*a^4*b^8*c^6*d^4 + 199584*a^5*b^7*c^5*d^5 + 194040*a^6*b^6*c^4*d^6 + 95040*a^7*b^5*c^3*d^7 + 22275*a^8*b^4*c^2*d^8 + 2200*a^9*b^3*c*d^9 + 66*a^10*b^2*d^10)*x^13 + (a*b^11*c^10 + 55*a^2*b^10*c^9*d + 825*a^3*b^9*c^8*d^2 + 4950*a^4*b^8*c^7*d^3 + 13860*a^5*b^7*c^6*d^4 + 19404*a^6*b^6*c^5*d^5 + 13860*a^7*b^5*c^4*d^6 + 4950*a^8*b^4*c^3*d^7 + 825*a^9*b^3*c^2*d^8 + 55*a^10*b^2*c*d^9 + a^11*b*d^10)*x^12 + 1/11*(66*a^2*b^10*c^10 + 2200*a^3*b^9*c^9*d + 22275*a^4*b^8*c^8*d^2 + 95040*a^5*b^7*c^7*d^3 + 194040*a^6*b^6*c^6*d^4 + 199584*a^7*b^5*c^5*d^5 + 103950*a^8*b^4*c^4*d^6 + 26400*a^9*b^3*c^3*d^7 + 2970*a^10*b^2*c^2*d^8 + 120*a^11*b*c*d^9 + a^12*d^10)*x^11 + (22*a^3*b^9*c^10 + 495*a^4*b^8*c^9*d + 3564*a^5*b^7*c^8*d^2 + 11088*a^6*b^6*c^7*d^3 + 16632*a^7*b^5*c^6*d^4 + 12474*a^8*b^4*c^5*d^5 + 4620*a^9*b^3*c^4*d^6 + 792*a^10*b^2*c^3*d^7 + 54*a^11*b*c^2*d^8 + a^12*c*d^9)*x^10 + 5*(11*a^4*b^8*c^10 + 176*a^5*b^7*c^9*d + 924*a^6*b^6*c^8*d^2 + 2112*a^7*b^5*c^7*d^3 + 2310*a^8*b^4*c^6*d^4 + 1232*a^9*b^3*c^5*d^5 + 308*a^10*b^2*c^4*d^6 + 32*a^11*b*c^3*d^7 + a^12*c^2*d^8)*x^9 + 3*(33*a^5*b^7*c^10 + 385*a^6*b^6*c^9*d + 1485*a^7*b^5*c^8*d^2 + 2475*a^8*b^4*c^7*d^3 + 1925*a^9*b^3*c^6*d^4 + 693*a^10*b^2*c^5*d^5 + 105*a^11*b*c^4*d^6 + 5*a^12*c^3*d^7)*x^8 + 3/7*(308*a^6*b^6*c^10 + 2640*a^7*b^5*c^9*d + 7425*a^8*b^4*c^8*d^2 + 8800*a^9*b^3*c^7*d^3 + 4620*a^10*b^2*c^6*d^4 + 1008*a^11*b*c^5*d^5 + 70*a^12*c^4*d^6)*x^7 + 3*(44*a^7*b^5*c^10 + 275*a^8*b^4*c^9*d + 550*a^9*b^3*c^8*d^2 + 440*a^10*b^2*c^7*d^3 + 140*a^11*b*c^6*d^4 + 14*a^12*c^5*d^5)*x^6 + (99*a^8*b^4*c^10 + 440*a^9*b^3*c^9*d + 594*a^10*b^2*c^8*d^2 + 288*a^11*b*c^7*d^3 + 42*a^12*c^6*d^4)*x^5 + 5*(11*a^9*b^3*c^10 + 33*a^10*b^2*c^9*d + 27*a^11*b*c^8*d^2 + 6*a^12*c^7*d^3)*x^4 + (22*a^10*b^2*c^10 + 40*a^11*b*c^9*d + 15*a^12*c^8*d^2)*x^3 + (6*a^11*b*c^10 + 5*a^12*c^9*d)*x^2","B",0
1300,1,1740,0,1.575409," ","integrate((b*x+a)^11*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{22} \, b^{11} d^{10} x^{22} + a^{11} c^{10} x + \frac{1}{21} \, {\left(10 \, b^{11} c d^{9} + 11 \, a b^{10} d^{10}\right)} x^{21} + \frac{1}{4} \, {\left(9 \, b^{11} c^{2} d^{8} + 22 \, a b^{10} c d^{9} + 11 \, a^{2} b^{9} d^{10}\right)} x^{20} + \frac{5}{19} \, {\left(24 \, b^{11} c^{3} d^{7} + 99 \, a b^{10} c^{2} d^{8} + 110 \, a^{2} b^{9} c d^{9} + 33 \, a^{3} b^{8} d^{10}\right)} x^{19} + \frac{5}{6} \, {\left(14 \, b^{11} c^{4} d^{6} + 88 \, a b^{10} c^{3} d^{7} + 165 \, a^{2} b^{9} c^{2} d^{8} + 110 \, a^{3} b^{8} c d^{9} + 22 \, a^{4} b^{7} d^{10}\right)} x^{18} + \frac{3}{17} \, {\left(84 \, b^{11} c^{5} d^{5} + 770 \, a b^{10} c^{4} d^{6} + 2200 \, a^{2} b^{9} c^{3} d^{7} + 2475 \, a^{3} b^{8} c^{2} d^{8} + 1100 \, a^{4} b^{7} c d^{9} + 154 \, a^{5} b^{6} d^{10}\right)} x^{17} + \frac{3}{8} \, {\left(35 \, b^{11} c^{6} d^{4} + 462 \, a b^{10} c^{5} d^{5} + 1925 \, a^{2} b^{9} c^{4} d^{6} + 3300 \, a^{3} b^{8} c^{3} d^{7} + 2475 \, a^{4} b^{7} c^{2} d^{8} + 770 \, a^{5} b^{6} c d^{9} + 77 \, a^{6} b^{5} d^{10}\right)} x^{16} + 2 \, {\left(4 \, b^{11} c^{7} d^{3} + 77 \, a b^{10} c^{6} d^{4} + 462 \, a^{2} b^{9} c^{5} d^{5} + 1155 \, a^{3} b^{8} c^{4} d^{6} + 1320 \, a^{4} b^{7} c^{3} d^{7} + 693 \, a^{5} b^{6} c^{2} d^{8} + 154 \, a^{6} b^{5} c d^{9} + 11 \, a^{7} b^{4} d^{10}\right)} x^{15} + \frac{15}{14} \, {\left(3 \, b^{11} c^{8} d^{2} + 88 \, a b^{10} c^{7} d^{3} + 770 \, a^{2} b^{9} c^{6} d^{4} + 2772 \, a^{3} b^{8} c^{5} d^{5} + 4620 \, a^{4} b^{7} c^{4} d^{6} + 3696 \, a^{5} b^{6} c^{3} d^{7} + 1386 \, a^{6} b^{5} c^{2} d^{8} + 220 \, a^{7} b^{4} c d^{9} + 11 \, a^{8} b^{3} d^{10}\right)} x^{14} + \frac{5}{13} \, {\left(2 \, b^{11} c^{9} d + 99 \, a b^{10} c^{8} d^{2} + 1320 \, a^{2} b^{9} c^{7} d^{3} + 6930 \, a^{3} b^{8} c^{6} d^{4} + 16632 \, a^{4} b^{7} c^{5} d^{5} + 19404 \, a^{5} b^{6} c^{4} d^{6} + 11088 \, a^{6} b^{5} c^{3} d^{7} + 2970 \, a^{7} b^{4} c^{2} d^{8} + 330 \, a^{8} b^{3} c d^{9} + 11 \, a^{9} b^{2} d^{10}\right)} x^{13} + \frac{1}{12} \, {\left(b^{11} c^{10} + 110 \, a b^{10} c^{9} d + 2475 \, a^{2} b^{9} c^{8} d^{2} + 19800 \, a^{3} b^{8} c^{7} d^{3} + 69300 \, a^{4} b^{7} c^{6} d^{4} + 116424 \, a^{5} b^{6} c^{5} d^{5} + 97020 \, a^{6} b^{5} c^{4} d^{6} + 39600 \, a^{7} b^{4} c^{3} d^{7} + 7425 \, a^{8} b^{3} c^{2} d^{8} + 550 \, a^{9} b^{2} c d^{9} + 11 \, a^{10} b d^{10}\right)} x^{12} + \frac{1}{11} \, {\left(11 \, a b^{10} c^{10} + 550 \, a^{2} b^{9} c^{9} d + 7425 \, a^{3} b^{8} c^{8} d^{2} + 39600 \, a^{4} b^{7} c^{7} d^{3} + 97020 \, a^{5} b^{6} c^{6} d^{4} + 116424 \, a^{6} b^{5} c^{5} d^{5} + 69300 \, a^{7} b^{4} c^{4} d^{6} + 19800 \, a^{8} b^{3} c^{3} d^{7} + 2475 \, a^{9} b^{2} c^{2} d^{8} + 110 \, a^{10} b c d^{9} + a^{11} d^{10}\right)} x^{11} + \frac{1}{2} \, {\left(11 \, a^{2} b^{9} c^{10} + 330 \, a^{3} b^{8} c^{9} d + 2970 \, a^{4} b^{7} c^{8} d^{2} + 11088 \, a^{5} b^{6} c^{7} d^{3} + 19404 \, a^{6} b^{5} c^{6} d^{4} + 16632 \, a^{7} b^{4} c^{5} d^{5} + 6930 \, a^{8} b^{3} c^{4} d^{6} + 1320 \, a^{9} b^{2} c^{3} d^{7} + 99 \, a^{10} b c^{2} d^{8} + 2 \, a^{11} c d^{9}\right)} x^{10} + \frac{5}{3} \, {\left(11 \, a^{3} b^{8} c^{10} + 220 \, a^{4} b^{7} c^{9} d + 1386 \, a^{5} b^{6} c^{8} d^{2} + 3696 \, a^{6} b^{5} c^{7} d^{3} + 4620 \, a^{7} b^{4} c^{6} d^{4} + 2772 \, a^{8} b^{3} c^{5} d^{5} + 770 \, a^{9} b^{2} c^{4} d^{6} + 88 \, a^{10} b c^{3} d^{7} + 3 \, a^{11} c^{2} d^{8}\right)} x^{9} + \frac{15}{4} \, {\left(11 \, a^{4} b^{7} c^{10} + 154 \, a^{5} b^{6} c^{9} d + 693 \, a^{6} b^{5} c^{8} d^{2} + 1320 \, a^{7} b^{4} c^{7} d^{3} + 1155 \, a^{8} b^{3} c^{6} d^{4} + 462 \, a^{9} b^{2} c^{5} d^{5} + 77 \, a^{10} b c^{4} d^{6} + 4 \, a^{11} c^{3} d^{7}\right)} x^{8} + \frac{6}{7} \, {\left(77 \, a^{5} b^{6} c^{10} + 770 \, a^{6} b^{5} c^{9} d + 2475 \, a^{7} b^{4} c^{8} d^{2} + 3300 \, a^{8} b^{3} c^{7} d^{3} + 1925 \, a^{9} b^{2} c^{6} d^{4} + 462 \, a^{10} b c^{5} d^{5} + 35 \, a^{11} c^{4} d^{6}\right)} x^{7} + \frac{1}{2} \, {\left(154 \, a^{6} b^{5} c^{10} + 1100 \, a^{7} b^{4} c^{9} d + 2475 \, a^{8} b^{3} c^{8} d^{2} + 2200 \, a^{9} b^{2} c^{7} d^{3} + 770 \, a^{10} b c^{6} d^{4} + 84 \, a^{11} c^{5} d^{5}\right)} x^{6} + 3 \, {\left(22 \, a^{7} b^{4} c^{10} + 110 \, a^{8} b^{3} c^{9} d + 165 \, a^{9} b^{2} c^{8} d^{2} + 88 \, a^{10} b c^{7} d^{3} + 14 \, a^{11} c^{6} d^{4}\right)} x^{5} + \frac{5}{4} \, {\left(33 \, a^{8} b^{3} c^{10} + 110 \, a^{9} b^{2} c^{9} d + 99 \, a^{10} b c^{8} d^{2} + 24 \, a^{11} c^{7} d^{3}\right)} x^{4} + \frac{5}{3} \, {\left(11 \, a^{9} b^{2} c^{10} + 22 \, a^{10} b c^{9} d + 9 \, a^{11} c^{8} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(11 \, a^{10} b c^{10} + 10 \, a^{11} c^{9} d\right)} x^{2}"," ",0,"1/22*b^11*d^10*x^22 + a^11*c^10*x + 1/21*(10*b^11*c*d^9 + 11*a*b^10*d^10)*x^21 + 1/4*(9*b^11*c^2*d^8 + 22*a*b^10*c*d^9 + 11*a^2*b^9*d^10)*x^20 + 5/19*(24*b^11*c^3*d^7 + 99*a*b^10*c^2*d^8 + 110*a^2*b^9*c*d^9 + 33*a^3*b^8*d^10)*x^19 + 5/6*(14*b^11*c^4*d^6 + 88*a*b^10*c^3*d^7 + 165*a^2*b^9*c^2*d^8 + 110*a^3*b^8*c*d^9 + 22*a^4*b^7*d^10)*x^18 + 3/17*(84*b^11*c^5*d^5 + 770*a*b^10*c^4*d^6 + 2200*a^2*b^9*c^3*d^7 + 2475*a^3*b^8*c^2*d^8 + 1100*a^4*b^7*c*d^9 + 154*a^5*b^6*d^10)*x^17 + 3/8*(35*b^11*c^6*d^4 + 462*a*b^10*c^5*d^5 + 1925*a^2*b^9*c^4*d^6 + 3300*a^3*b^8*c^3*d^7 + 2475*a^4*b^7*c^2*d^8 + 770*a^5*b^6*c*d^9 + 77*a^6*b^5*d^10)*x^16 + 2*(4*b^11*c^7*d^3 + 77*a*b^10*c^6*d^4 + 462*a^2*b^9*c^5*d^5 + 1155*a^3*b^8*c^4*d^6 + 1320*a^4*b^7*c^3*d^7 + 693*a^5*b^6*c^2*d^8 + 154*a^6*b^5*c*d^9 + 11*a^7*b^4*d^10)*x^15 + 15/14*(3*b^11*c^8*d^2 + 88*a*b^10*c^7*d^3 + 770*a^2*b^9*c^6*d^4 + 2772*a^3*b^8*c^5*d^5 + 4620*a^4*b^7*c^4*d^6 + 3696*a^5*b^6*c^3*d^7 + 1386*a^6*b^5*c^2*d^8 + 220*a^7*b^4*c*d^9 + 11*a^8*b^3*d^10)*x^14 + 5/13*(2*b^11*c^9*d + 99*a*b^10*c^8*d^2 + 1320*a^2*b^9*c^7*d^3 + 6930*a^3*b^8*c^6*d^4 + 16632*a^4*b^7*c^5*d^5 + 19404*a^5*b^6*c^4*d^6 + 11088*a^6*b^5*c^3*d^7 + 2970*a^7*b^4*c^2*d^8 + 330*a^8*b^3*c*d^9 + 11*a^9*b^2*d^10)*x^13 + 1/12*(b^11*c^10 + 110*a*b^10*c^9*d + 2475*a^2*b^9*c^8*d^2 + 19800*a^3*b^8*c^7*d^3 + 69300*a^4*b^7*c^6*d^4 + 116424*a^5*b^6*c^5*d^5 + 97020*a^6*b^5*c^4*d^6 + 39600*a^7*b^4*c^3*d^7 + 7425*a^8*b^3*c^2*d^8 + 550*a^9*b^2*c*d^9 + 11*a^10*b*d^10)*x^12 + 1/11*(11*a*b^10*c^10 + 550*a^2*b^9*c^9*d + 7425*a^3*b^8*c^8*d^2 + 39600*a^4*b^7*c^7*d^3 + 97020*a^5*b^6*c^6*d^4 + 116424*a^6*b^5*c^5*d^5 + 69300*a^7*b^4*c^4*d^6 + 19800*a^8*b^3*c^3*d^7 + 2475*a^9*b^2*c^2*d^8 + 110*a^10*b*c*d^9 + a^11*d^10)*x^11 + 1/2*(11*a^2*b^9*c^10 + 330*a^3*b^8*c^9*d + 2970*a^4*b^7*c^8*d^2 + 11088*a^5*b^6*c^7*d^3 + 19404*a^6*b^5*c^6*d^4 + 16632*a^7*b^4*c^5*d^5 + 6930*a^8*b^3*c^4*d^6 + 1320*a^9*b^2*c^3*d^7 + 99*a^10*b*c^2*d^8 + 2*a^11*c*d^9)*x^10 + 5/3*(11*a^3*b^8*c^10 + 220*a^4*b^7*c^9*d + 1386*a^5*b^6*c^8*d^2 + 3696*a^6*b^5*c^7*d^3 + 4620*a^7*b^4*c^6*d^4 + 2772*a^8*b^3*c^5*d^5 + 770*a^9*b^2*c^4*d^6 + 88*a^10*b*c^3*d^7 + 3*a^11*c^2*d^8)*x^9 + 15/4*(11*a^4*b^7*c^10 + 154*a^5*b^6*c^9*d + 693*a^6*b^5*c^8*d^2 + 1320*a^7*b^4*c^7*d^3 + 1155*a^8*b^3*c^6*d^4 + 462*a^9*b^2*c^5*d^5 + 77*a^10*b*c^4*d^6 + 4*a^11*c^3*d^7)*x^8 + 6/7*(77*a^5*b^6*c^10 + 770*a^6*b^5*c^9*d + 2475*a^7*b^4*c^8*d^2 + 3300*a^8*b^3*c^7*d^3 + 1925*a^9*b^2*c^6*d^4 + 462*a^10*b*c^5*d^5 + 35*a^11*c^4*d^6)*x^7 + 1/2*(154*a^6*b^5*c^10 + 1100*a^7*b^4*c^9*d + 2475*a^8*b^3*c^8*d^2 + 2200*a^9*b^2*c^7*d^3 + 770*a^10*b*c^6*d^4 + 84*a^11*c^5*d^5)*x^6 + 3*(22*a^7*b^4*c^10 + 110*a^8*b^3*c^9*d + 165*a^9*b^2*c^8*d^2 + 88*a^10*b*c^7*d^3 + 14*a^11*c^6*d^4)*x^5 + 5/4*(33*a^8*b^3*c^10 + 110*a^9*b^2*c^9*d + 99*a^10*b*c^8*d^2 + 24*a^11*c^7*d^3)*x^4 + 5/3*(11*a^9*b^2*c^10 + 22*a^10*b*c^9*d + 9*a^11*c^8*d^2)*x^3 + 1/2*(11*a^10*b*c^10 + 10*a^11*c^9*d)*x^2","B",0
1301,1,1581,0,1.555450," ","integrate((b*x+a)^10*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{21} \, b^{10} d^{10} x^{21} + a^{10} c^{10} x + \frac{1}{2} \, {\left(b^{10} c d^{9} + a b^{9} d^{10}\right)} x^{20} + \frac{5}{19} \, {\left(9 \, b^{10} c^{2} d^{8} + 20 \, a b^{9} c d^{9} + 9 \, a^{2} b^{8} d^{10}\right)} x^{19} + \frac{5}{3} \, {\left(4 \, b^{10} c^{3} d^{7} + 15 \, a b^{9} c^{2} d^{8} + 15 \, a^{2} b^{8} c d^{9} + 4 \, a^{3} b^{7} d^{10}\right)} x^{18} + \frac{15}{17} \, {\left(14 \, b^{10} c^{4} d^{6} + 80 \, a b^{9} c^{3} d^{7} + 135 \, a^{2} b^{8} c^{2} d^{8} + 80 \, a^{3} b^{7} c d^{9} + 14 \, a^{4} b^{6} d^{10}\right)} x^{17} + \frac{3}{4} \, {\left(21 \, b^{10} c^{5} d^{5} + 175 \, a b^{9} c^{4} d^{6} + 450 \, a^{2} b^{8} c^{3} d^{7} + 450 \, a^{3} b^{7} c^{2} d^{8} + 175 \, a^{4} b^{6} c d^{9} + 21 \, a^{5} b^{5} d^{10}\right)} x^{16} + 2 \, {\left(7 \, b^{10} c^{6} d^{4} + 84 \, a b^{9} c^{5} d^{5} + 315 \, a^{2} b^{8} c^{4} d^{6} + 480 \, a^{3} b^{7} c^{3} d^{7} + 315 \, a^{4} b^{6} c^{2} d^{8} + 84 \, a^{5} b^{5} c d^{9} + 7 \, a^{6} b^{4} d^{10}\right)} x^{15} + \frac{30}{7} \, {\left(2 \, b^{10} c^{7} d^{3} + 35 \, a b^{9} c^{6} d^{4} + 189 \, a^{2} b^{8} c^{5} d^{5} + 420 \, a^{3} b^{7} c^{4} d^{6} + 420 \, a^{4} b^{6} c^{3} d^{7} + 189 \, a^{5} b^{5} c^{2} d^{8} + 35 \, a^{6} b^{4} c d^{9} + 2 \, a^{7} b^{3} d^{10}\right)} x^{14} + \frac{15}{13} \, {\left(3 \, b^{10} c^{8} d^{2} + 80 \, a b^{9} c^{7} d^{3} + 630 \, a^{2} b^{8} c^{6} d^{4} + 2016 \, a^{3} b^{7} c^{5} d^{5} + 2940 \, a^{4} b^{6} c^{4} d^{6} + 2016 \, a^{5} b^{5} c^{3} d^{7} + 630 \, a^{6} b^{4} c^{2} d^{8} + 80 \, a^{7} b^{3} c d^{9} + 3 \, a^{8} b^{2} d^{10}\right)} x^{13} + \frac{5}{6} \, {\left(b^{10} c^{9} d + 45 \, a b^{9} c^{8} d^{2} + 540 \, a^{2} b^{8} c^{7} d^{3} + 2520 \, a^{3} b^{7} c^{6} d^{4} + 5292 \, a^{4} b^{6} c^{5} d^{5} + 5292 \, a^{5} b^{5} c^{4} d^{6} + 2520 \, a^{6} b^{4} c^{3} d^{7} + 540 \, a^{7} b^{3} c^{2} d^{8} + 45 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x^{12} + \frac{1}{11} \, {\left(b^{10} c^{10} + 100 \, a b^{9} c^{9} d + 2025 \, a^{2} b^{8} c^{8} d^{2} + 14400 \, a^{3} b^{7} c^{7} d^{3} + 44100 \, a^{4} b^{6} c^{6} d^{4} + 63504 \, a^{5} b^{5} c^{5} d^{5} + 44100 \, a^{6} b^{4} c^{4} d^{6} + 14400 \, a^{7} b^{3} c^{3} d^{7} + 2025 \, a^{8} b^{2} c^{2} d^{8} + 100 \, a^{9} b c d^{9} + a^{10} d^{10}\right)} x^{11} + {\left(a b^{9} c^{10} + 45 \, a^{2} b^{8} c^{9} d + 540 \, a^{3} b^{7} c^{8} d^{2} + 2520 \, a^{4} b^{6} c^{7} d^{3} + 5292 \, a^{5} b^{5} c^{6} d^{4} + 5292 \, a^{6} b^{4} c^{5} d^{5} + 2520 \, a^{7} b^{3} c^{4} d^{6} + 540 \, a^{8} b^{2} c^{3} d^{7} + 45 \, a^{9} b c^{2} d^{8} + a^{10} c d^{9}\right)} x^{10} + \frac{5}{3} \, {\left(3 \, a^{2} b^{8} c^{10} + 80 \, a^{3} b^{7} c^{9} d + 630 \, a^{4} b^{6} c^{8} d^{2} + 2016 \, a^{5} b^{5} c^{7} d^{3} + 2940 \, a^{6} b^{4} c^{6} d^{4} + 2016 \, a^{7} b^{3} c^{5} d^{5} + 630 \, a^{8} b^{2} c^{4} d^{6} + 80 \, a^{9} b c^{3} d^{7} + 3 \, a^{10} c^{2} d^{8}\right)} x^{9} + \frac{15}{2} \, {\left(2 \, a^{3} b^{7} c^{10} + 35 \, a^{4} b^{6} c^{9} d + 189 \, a^{5} b^{5} c^{8} d^{2} + 420 \, a^{6} b^{4} c^{7} d^{3} + 420 \, a^{7} b^{3} c^{6} d^{4} + 189 \, a^{8} b^{2} c^{5} d^{5} + 35 \, a^{9} b c^{4} d^{6} + 2 \, a^{10} c^{3} d^{7}\right)} x^{8} + \frac{30}{7} \, {\left(7 \, a^{4} b^{6} c^{10} + 84 \, a^{5} b^{5} c^{9} d + 315 \, a^{6} b^{4} c^{8} d^{2} + 480 \, a^{7} b^{3} c^{7} d^{3} + 315 \, a^{8} b^{2} c^{6} d^{4} + 84 \, a^{9} b c^{5} d^{5} + 7 \, a^{10} c^{4} d^{6}\right)} x^{7} + 2 \, {\left(21 \, a^{5} b^{5} c^{10} + 175 \, a^{6} b^{4} c^{9} d + 450 \, a^{7} b^{3} c^{8} d^{2} + 450 \, a^{8} b^{2} c^{7} d^{3} + 175 \, a^{9} b c^{6} d^{4} + 21 \, a^{10} c^{5} d^{5}\right)} x^{6} + 3 \, {\left(14 \, a^{6} b^{4} c^{10} + 80 \, a^{7} b^{3} c^{9} d + 135 \, a^{8} b^{2} c^{8} d^{2} + 80 \, a^{9} b c^{7} d^{3} + 14 \, a^{10} c^{6} d^{4}\right)} x^{5} + \frac{15}{2} \, {\left(4 \, a^{7} b^{3} c^{10} + 15 \, a^{8} b^{2} c^{9} d + 15 \, a^{9} b c^{8} d^{2} + 4 \, a^{10} c^{7} d^{3}\right)} x^{4} + \frac{5}{3} \, {\left(9 \, a^{8} b^{2} c^{10} + 20 \, a^{9} b c^{9} d + 9 \, a^{10} c^{8} d^{2}\right)} x^{3} + 5 \, {\left(a^{9} b c^{10} + a^{10} c^{9} d\right)} x^{2}"," ",0,"1/21*b^10*d^10*x^21 + a^10*c^10*x + 1/2*(b^10*c*d^9 + a*b^9*d^10)*x^20 + 5/19*(9*b^10*c^2*d^8 + 20*a*b^9*c*d^9 + 9*a^2*b^8*d^10)*x^19 + 5/3*(4*b^10*c^3*d^7 + 15*a*b^9*c^2*d^8 + 15*a^2*b^8*c*d^9 + 4*a^3*b^7*d^10)*x^18 + 15/17*(14*b^10*c^4*d^6 + 80*a*b^9*c^3*d^7 + 135*a^2*b^8*c^2*d^8 + 80*a^3*b^7*c*d^9 + 14*a^4*b^6*d^10)*x^17 + 3/4*(21*b^10*c^5*d^5 + 175*a*b^9*c^4*d^6 + 450*a^2*b^8*c^3*d^7 + 450*a^3*b^7*c^2*d^8 + 175*a^4*b^6*c*d^9 + 21*a^5*b^5*d^10)*x^16 + 2*(7*b^10*c^6*d^4 + 84*a*b^9*c^5*d^5 + 315*a^2*b^8*c^4*d^6 + 480*a^3*b^7*c^3*d^7 + 315*a^4*b^6*c^2*d^8 + 84*a^5*b^5*c*d^9 + 7*a^6*b^4*d^10)*x^15 + 30/7*(2*b^10*c^7*d^3 + 35*a*b^9*c^6*d^4 + 189*a^2*b^8*c^5*d^5 + 420*a^3*b^7*c^4*d^6 + 420*a^4*b^6*c^3*d^7 + 189*a^5*b^5*c^2*d^8 + 35*a^6*b^4*c*d^9 + 2*a^7*b^3*d^10)*x^14 + 15/13*(3*b^10*c^8*d^2 + 80*a*b^9*c^7*d^3 + 630*a^2*b^8*c^6*d^4 + 2016*a^3*b^7*c^5*d^5 + 2940*a^4*b^6*c^4*d^6 + 2016*a^5*b^5*c^3*d^7 + 630*a^6*b^4*c^2*d^8 + 80*a^7*b^3*c*d^9 + 3*a^8*b^2*d^10)*x^13 + 5/6*(b^10*c^9*d + 45*a*b^9*c^8*d^2 + 540*a^2*b^8*c^7*d^3 + 2520*a^3*b^7*c^6*d^4 + 5292*a^4*b^6*c^5*d^5 + 5292*a^5*b^5*c^4*d^6 + 2520*a^6*b^4*c^3*d^7 + 540*a^7*b^3*c^2*d^8 + 45*a^8*b^2*c*d^9 + a^9*b*d^10)*x^12 + 1/11*(b^10*c^10 + 100*a*b^9*c^9*d + 2025*a^2*b^8*c^8*d^2 + 14400*a^3*b^7*c^7*d^3 + 44100*a^4*b^6*c^6*d^4 + 63504*a^5*b^5*c^5*d^5 + 44100*a^6*b^4*c^4*d^6 + 14400*a^7*b^3*c^3*d^7 + 2025*a^8*b^2*c^2*d^8 + 100*a^9*b*c*d^9 + a^10*d^10)*x^11 + (a*b^9*c^10 + 45*a^2*b^8*c^9*d + 540*a^3*b^7*c^8*d^2 + 2520*a^4*b^6*c^7*d^3 + 5292*a^5*b^5*c^6*d^4 + 5292*a^6*b^4*c^5*d^5 + 2520*a^7*b^3*c^4*d^6 + 540*a^8*b^2*c^3*d^7 + 45*a^9*b*c^2*d^8 + a^10*c*d^9)*x^10 + 5/3*(3*a^2*b^8*c^10 + 80*a^3*b^7*c^9*d + 630*a^4*b^6*c^8*d^2 + 2016*a^5*b^5*c^7*d^3 + 2940*a^6*b^4*c^6*d^4 + 2016*a^7*b^3*c^5*d^5 + 630*a^8*b^2*c^4*d^6 + 80*a^9*b*c^3*d^7 + 3*a^10*c^2*d^8)*x^9 + 15/2*(2*a^3*b^7*c^10 + 35*a^4*b^6*c^9*d + 189*a^5*b^5*c^8*d^2 + 420*a^6*b^4*c^7*d^3 + 420*a^7*b^3*c^6*d^4 + 189*a^8*b^2*c^5*d^5 + 35*a^9*b*c^4*d^6 + 2*a^10*c^3*d^7)*x^8 + 30/7*(7*a^4*b^6*c^10 + 84*a^5*b^5*c^9*d + 315*a^6*b^4*c^8*d^2 + 480*a^7*b^3*c^7*d^3 + 315*a^8*b^2*c^6*d^4 + 84*a^9*b*c^5*d^5 + 7*a^10*c^4*d^6)*x^7 + 2*(21*a^5*b^5*c^10 + 175*a^6*b^4*c^9*d + 450*a^7*b^3*c^8*d^2 + 450*a^8*b^2*c^7*d^3 + 175*a^9*b*c^6*d^4 + 21*a^10*c^5*d^5)*x^6 + 3*(14*a^6*b^4*c^10 + 80*a^7*b^3*c^9*d + 135*a^8*b^2*c^8*d^2 + 80*a^9*b*c^7*d^3 + 14*a^10*c^6*d^4)*x^5 + 15/2*(4*a^7*b^3*c^10 + 15*a^8*b^2*c^9*d + 15*a^9*b*c^8*d^2 + 4*a^10*c^7*d^3)*x^4 + 5/3*(9*a^8*b^2*c^10 + 20*a^9*b*c^9*d + 9*a^10*c^8*d^2)*x^3 + 5*(a^9*b*c^10 + a^10*c^9*d)*x^2","B",0
1302,1,1437,0,1.507803," ","integrate((b*x+a)^9*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{20} \, b^{9} d^{10} x^{20} + a^{9} c^{10} x + \frac{1}{19} \, {\left(10 \, b^{9} c d^{9} + 9 \, a b^{8} d^{10}\right)} x^{19} + \frac{1}{2} \, {\left(5 \, b^{9} c^{2} d^{8} + 10 \, a b^{8} c d^{9} + 4 \, a^{2} b^{7} d^{10}\right)} x^{18} + \frac{3}{17} \, {\left(40 \, b^{9} c^{3} d^{7} + 135 \, a b^{8} c^{2} d^{8} + 120 \, a^{2} b^{7} c d^{9} + 28 \, a^{3} b^{6} d^{10}\right)} x^{17} + \frac{3}{8} \, {\left(35 \, b^{9} c^{4} d^{6} + 180 \, a b^{8} c^{3} d^{7} + 270 \, a^{2} b^{7} c^{2} d^{8} + 140 \, a^{3} b^{6} c d^{9} + 21 \, a^{4} b^{5} d^{10}\right)} x^{16} + \frac{6}{5} \, {\left(14 \, b^{9} c^{5} d^{5} + 105 \, a b^{8} c^{4} d^{6} + 240 \, a^{2} b^{7} c^{3} d^{7} + 210 \, a^{3} b^{6} c^{2} d^{8} + 70 \, a^{4} b^{5} c d^{9} + 7 \, a^{5} b^{4} d^{10}\right)} x^{15} + 3 \, {\left(5 \, b^{9} c^{6} d^{4} + 54 \, a b^{8} c^{5} d^{5} + 180 \, a^{2} b^{7} c^{4} d^{6} + 240 \, a^{3} b^{6} c^{3} d^{7} + 135 \, a^{4} b^{5} c^{2} d^{8} + 30 \, a^{5} b^{4} c d^{9} + 2 \, a^{6} b^{3} d^{10}\right)} x^{14} + \frac{6}{13} \, {\left(20 \, b^{9} c^{7} d^{3} + 315 \, a b^{8} c^{6} d^{4} + 1512 \, a^{2} b^{7} c^{5} d^{5} + 2940 \, a^{3} b^{6} c^{4} d^{6} + 2520 \, a^{4} b^{5} c^{3} d^{7} + 945 \, a^{5} b^{4} c^{2} d^{8} + 140 \, a^{6} b^{3} c d^{9} + 6 \, a^{7} b^{2} d^{10}\right)} x^{13} + \frac{3}{4} \, {\left(5 \, b^{9} c^{8} d^{2} + 120 \, a b^{8} c^{7} d^{3} + 840 \, a^{2} b^{7} c^{6} d^{4} + 2352 \, a^{3} b^{6} c^{5} d^{5} + 2940 \, a^{4} b^{5} c^{4} d^{6} + 1680 \, a^{5} b^{4} c^{3} d^{7} + 420 \, a^{6} b^{3} c^{2} d^{8} + 40 \, a^{7} b^{2} c d^{9} + a^{8} b d^{10}\right)} x^{12} + \frac{1}{11} \, {\left(10 \, b^{9} c^{9} d + 405 \, a b^{8} c^{8} d^{2} + 4320 \, a^{2} b^{7} c^{7} d^{3} + 17640 \, a^{3} b^{6} c^{6} d^{4} + 31752 \, a^{4} b^{5} c^{5} d^{5} + 26460 \, a^{5} b^{4} c^{4} d^{6} + 10080 \, a^{6} b^{3} c^{3} d^{7} + 1620 \, a^{7} b^{2} c^{2} d^{8} + 90 \, a^{8} b c d^{9} + a^{9} d^{10}\right)} x^{11} + \frac{1}{10} \, {\left(b^{9} c^{10} + 90 \, a b^{8} c^{9} d + 1620 \, a^{2} b^{7} c^{8} d^{2} + 10080 \, a^{3} b^{6} c^{7} d^{3} + 26460 \, a^{4} b^{5} c^{6} d^{4} + 31752 \, a^{5} b^{4} c^{5} d^{5} + 17640 \, a^{6} b^{3} c^{4} d^{6} + 4320 \, a^{7} b^{2} c^{3} d^{7} + 405 \, a^{8} b c^{2} d^{8} + 10 \, a^{9} c d^{9}\right)} x^{10} + {\left(a b^{8} c^{10} + 40 \, a^{2} b^{7} c^{9} d + 420 \, a^{3} b^{6} c^{8} d^{2} + 1680 \, a^{4} b^{5} c^{7} d^{3} + 2940 \, a^{5} b^{4} c^{6} d^{4} + 2352 \, a^{6} b^{3} c^{5} d^{5} + 840 \, a^{7} b^{2} c^{4} d^{6} + 120 \, a^{8} b c^{3} d^{7} + 5 \, a^{9} c^{2} d^{8}\right)} x^{9} + \frac{3}{4} \, {\left(6 \, a^{2} b^{7} c^{10} + 140 \, a^{3} b^{6} c^{9} d + 945 \, a^{4} b^{5} c^{8} d^{2} + 2520 \, a^{5} b^{4} c^{7} d^{3} + 2940 \, a^{6} b^{3} c^{6} d^{4} + 1512 \, a^{7} b^{2} c^{5} d^{5} + 315 \, a^{8} b c^{4} d^{6} + 20 \, a^{9} c^{3} d^{7}\right)} x^{8} + 6 \, {\left(2 \, a^{3} b^{6} c^{10} + 30 \, a^{4} b^{5} c^{9} d + 135 \, a^{5} b^{4} c^{8} d^{2} + 240 \, a^{6} b^{3} c^{7} d^{3} + 180 \, a^{7} b^{2} c^{6} d^{4} + 54 \, a^{8} b c^{5} d^{5} + 5 \, a^{9} c^{4} d^{6}\right)} x^{7} + 3 \, {\left(7 \, a^{4} b^{5} c^{10} + 70 \, a^{5} b^{4} c^{9} d + 210 \, a^{6} b^{3} c^{8} d^{2} + 240 \, a^{7} b^{2} c^{7} d^{3} + 105 \, a^{8} b c^{6} d^{4} + 14 \, a^{9} c^{5} d^{5}\right)} x^{6} + \frac{6}{5} \, {\left(21 \, a^{5} b^{4} c^{10} + 140 \, a^{6} b^{3} c^{9} d + 270 \, a^{7} b^{2} c^{8} d^{2} + 180 \, a^{8} b c^{7} d^{3} + 35 \, a^{9} c^{6} d^{4}\right)} x^{5} + \frac{3}{4} \, {\left(28 \, a^{6} b^{3} c^{10} + 120 \, a^{7} b^{2} c^{9} d + 135 \, a^{8} b c^{8} d^{2} + 40 \, a^{9} c^{7} d^{3}\right)} x^{4} + 3 \, {\left(4 \, a^{7} b^{2} c^{10} + 10 \, a^{8} b c^{9} d + 5 \, a^{9} c^{8} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(9 \, a^{8} b c^{10} + 10 \, a^{9} c^{9} d\right)} x^{2}"," ",0,"1/20*b^9*d^10*x^20 + a^9*c^10*x + 1/19*(10*b^9*c*d^9 + 9*a*b^8*d^10)*x^19 + 1/2*(5*b^9*c^2*d^8 + 10*a*b^8*c*d^9 + 4*a^2*b^7*d^10)*x^18 + 3/17*(40*b^9*c^3*d^7 + 135*a*b^8*c^2*d^8 + 120*a^2*b^7*c*d^9 + 28*a^3*b^6*d^10)*x^17 + 3/8*(35*b^9*c^4*d^6 + 180*a*b^8*c^3*d^7 + 270*a^2*b^7*c^2*d^8 + 140*a^3*b^6*c*d^9 + 21*a^4*b^5*d^10)*x^16 + 6/5*(14*b^9*c^5*d^5 + 105*a*b^8*c^4*d^6 + 240*a^2*b^7*c^3*d^7 + 210*a^3*b^6*c^2*d^8 + 70*a^4*b^5*c*d^9 + 7*a^5*b^4*d^10)*x^15 + 3*(5*b^9*c^6*d^4 + 54*a*b^8*c^5*d^5 + 180*a^2*b^7*c^4*d^6 + 240*a^3*b^6*c^3*d^7 + 135*a^4*b^5*c^2*d^8 + 30*a^5*b^4*c*d^9 + 2*a^6*b^3*d^10)*x^14 + 6/13*(20*b^9*c^7*d^3 + 315*a*b^8*c^6*d^4 + 1512*a^2*b^7*c^5*d^5 + 2940*a^3*b^6*c^4*d^6 + 2520*a^4*b^5*c^3*d^7 + 945*a^5*b^4*c^2*d^8 + 140*a^6*b^3*c*d^9 + 6*a^7*b^2*d^10)*x^13 + 3/4*(5*b^9*c^8*d^2 + 120*a*b^8*c^7*d^3 + 840*a^2*b^7*c^6*d^4 + 2352*a^3*b^6*c^5*d^5 + 2940*a^4*b^5*c^4*d^6 + 1680*a^5*b^4*c^3*d^7 + 420*a^6*b^3*c^2*d^8 + 40*a^7*b^2*c*d^9 + a^8*b*d^10)*x^12 + 1/11*(10*b^9*c^9*d + 405*a*b^8*c^8*d^2 + 4320*a^2*b^7*c^7*d^3 + 17640*a^3*b^6*c^6*d^4 + 31752*a^4*b^5*c^5*d^5 + 26460*a^5*b^4*c^4*d^6 + 10080*a^6*b^3*c^3*d^7 + 1620*a^7*b^2*c^2*d^8 + 90*a^8*b*c*d^9 + a^9*d^10)*x^11 + 1/10*(b^9*c^10 + 90*a*b^8*c^9*d + 1620*a^2*b^7*c^8*d^2 + 10080*a^3*b^6*c^7*d^3 + 26460*a^4*b^5*c^6*d^4 + 31752*a^5*b^4*c^5*d^5 + 17640*a^6*b^3*c^4*d^6 + 4320*a^7*b^2*c^3*d^7 + 405*a^8*b*c^2*d^8 + 10*a^9*c*d^9)*x^10 + (a*b^8*c^10 + 40*a^2*b^7*c^9*d + 420*a^3*b^6*c^8*d^2 + 1680*a^4*b^5*c^7*d^3 + 2940*a^5*b^4*c^6*d^4 + 2352*a^6*b^3*c^5*d^5 + 840*a^7*b^2*c^4*d^6 + 120*a^8*b*c^3*d^7 + 5*a^9*c^2*d^8)*x^9 + 3/4*(6*a^2*b^7*c^10 + 140*a^3*b^6*c^9*d + 945*a^4*b^5*c^8*d^2 + 2520*a^5*b^4*c^7*d^3 + 2940*a^6*b^3*c^6*d^4 + 1512*a^7*b^2*c^5*d^5 + 315*a^8*b*c^4*d^6 + 20*a^9*c^3*d^7)*x^8 + 6*(2*a^3*b^6*c^10 + 30*a^4*b^5*c^9*d + 135*a^5*b^4*c^8*d^2 + 240*a^6*b^3*c^7*d^3 + 180*a^7*b^2*c^6*d^4 + 54*a^8*b*c^5*d^5 + 5*a^9*c^4*d^6)*x^7 + 3*(7*a^4*b^5*c^10 + 70*a^5*b^4*c^9*d + 210*a^6*b^3*c^8*d^2 + 240*a^7*b^2*c^7*d^3 + 105*a^8*b*c^6*d^4 + 14*a^9*c^5*d^5)*x^6 + 6/5*(21*a^5*b^4*c^10 + 140*a^6*b^3*c^9*d + 270*a^7*b^2*c^8*d^2 + 180*a^8*b*c^7*d^3 + 35*a^9*c^6*d^4)*x^5 + 3/4*(28*a^6*b^3*c^10 + 120*a^7*b^2*c^9*d + 135*a^8*b*c^8*d^2 + 40*a^9*c^7*d^3)*x^4 + 3*(4*a^7*b^2*c^10 + 10*a^8*b*c^9*d + 5*a^9*c^8*d^2)*x^3 + 1/2*(9*a^8*b*c^10 + 10*a^9*c^9*d)*x^2","B",0
1303,1,1283,0,1.511893," ","integrate((b*x+a)^8*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{19} \, b^{8} d^{10} x^{19} + a^{8} c^{10} x + \frac{1}{9} \, {\left(5 \, b^{8} c d^{9} + 4 \, a b^{7} d^{10}\right)} x^{18} + \frac{1}{17} \, {\left(45 \, b^{8} c^{2} d^{8} + 80 \, a b^{7} c d^{9} + 28 \, a^{2} b^{6} d^{10}\right)} x^{17} + \frac{1}{2} \, {\left(15 \, b^{8} c^{3} d^{7} + 45 \, a b^{7} c^{2} d^{8} + 35 \, a^{2} b^{6} c d^{9} + 7 \, a^{3} b^{5} d^{10}\right)} x^{16} + \frac{2}{3} \, {\left(21 \, b^{8} c^{4} d^{6} + 96 \, a b^{7} c^{3} d^{7} + 126 \, a^{2} b^{6} c^{2} d^{8} + 56 \, a^{3} b^{5} c d^{9} + 7 \, a^{4} b^{4} d^{10}\right)} x^{15} + 2 \, {\left(9 \, b^{8} c^{5} d^{5} + 60 \, a b^{7} c^{4} d^{6} + 120 \, a^{2} b^{6} c^{3} d^{7} + 90 \, a^{3} b^{5} c^{2} d^{8} + 25 \, a^{4} b^{4} c d^{9} + 2 \, a^{5} b^{3} d^{10}\right)} x^{14} + \frac{14}{13} \, {\left(15 \, b^{8} c^{6} d^{4} + 144 \, a b^{7} c^{5} d^{5} + 420 \, a^{2} b^{6} c^{4} d^{6} + 480 \, a^{3} b^{5} c^{3} d^{7} + 225 \, a^{4} b^{4} c^{2} d^{8} + 40 \, a^{5} b^{3} c d^{9} + 2 \, a^{6} b^{2} d^{10}\right)} x^{13} + \frac{2}{3} \, {\left(15 \, b^{8} c^{7} d^{3} + 210 \, a b^{7} c^{6} d^{4} + 882 \, a^{2} b^{6} c^{5} d^{5} + 1470 \, a^{3} b^{5} c^{4} d^{6} + 1050 \, a^{4} b^{4} c^{3} d^{7} + 315 \, a^{5} b^{3} c^{2} d^{8} + 35 \, a^{6} b^{2} c d^{9} + a^{7} b d^{10}\right)} x^{12} + \frac{1}{11} \, {\left(45 \, b^{8} c^{8} d^{2} + 960 \, a b^{7} c^{7} d^{3} + 5880 \, a^{2} b^{6} c^{6} d^{4} + 14112 \, a^{3} b^{5} c^{5} d^{5} + 14700 \, a^{4} b^{4} c^{4} d^{6} + 6720 \, a^{5} b^{3} c^{3} d^{7} + 1260 \, a^{6} b^{2} c^{2} d^{8} + 80 \, a^{7} b c d^{9} + a^{8} d^{10}\right)} x^{11} + {\left(b^{8} c^{9} d + 36 \, a b^{7} c^{8} d^{2} + 336 \, a^{2} b^{6} c^{7} d^{3} + 1176 \, a^{3} b^{5} c^{6} d^{4} + 1764 \, a^{4} b^{4} c^{5} d^{5} + 1176 \, a^{5} b^{3} c^{4} d^{6} + 336 \, a^{6} b^{2} c^{3} d^{7} + 36 \, a^{7} b c^{2} d^{8} + a^{8} c d^{9}\right)} x^{10} + \frac{1}{9} \, {\left(b^{8} c^{10} + 80 \, a b^{7} c^{9} d + 1260 \, a^{2} b^{6} c^{8} d^{2} + 6720 \, a^{3} b^{5} c^{7} d^{3} + 14700 \, a^{4} b^{4} c^{6} d^{4} + 14112 \, a^{5} b^{3} c^{5} d^{5} + 5880 \, a^{6} b^{2} c^{4} d^{6} + 960 \, a^{7} b c^{3} d^{7} + 45 \, a^{8} c^{2} d^{8}\right)} x^{9} + {\left(a b^{7} c^{10} + 35 \, a^{2} b^{6} c^{9} d + 315 \, a^{3} b^{5} c^{8} d^{2} + 1050 \, a^{4} b^{4} c^{7} d^{3} + 1470 \, a^{5} b^{3} c^{6} d^{4} + 882 \, a^{6} b^{2} c^{5} d^{5} + 210 \, a^{7} b c^{4} d^{6} + 15 \, a^{8} c^{3} d^{7}\right)} x^{8} + 2 \, {\left(2 \, a^{2} b^{6} c^{10} + 40 \, a^{3} b^{5} c^{9} d + 225 \, a^{4} b^{4} c^{8} d^{2} + 480 \, a^{5} b^{3} c^{7} d^{3} + 420 \, a^{6} b^{2} c^{6} d^{4} + 144 \, a^{7} b c^{5} d^{5} + 15 \, a^{8} c^{4} d^{6}\right)} x^{7} + \frac{14}{3} \, {\left(2 \, a^{3} b^{5} c^{10} + 25 \, a^{4} b^{4} c^{9} d + 90 \, a^{5} b^{3} c^{8} d^{2} + 120 \, a^{6} b^{2} c^{7} d^{3} + 60 \, a^{7} b c^{6} d^{4} + 9 \, a^{8} c^{5} d^{5}\right)} x^{6} + 2 \, {\left(7 \, a^{4} b^{4} c^{10} + 56 \, a^{5} b^{3} c^{9} d + 126 \, a^{6} b^{2} c^{8} d^{2} + 96 \, a^{7} b c^{7} d^{3} + 21 \, a^{8} c^{6} d^{4}\right)} x^{5} + 2 \, {\left(7 \, a^{5} b^{3} c^{10} + 35 \, a^{6} b^{2} c^{9} d + 45 \, a^{7} b c^{8} d^{2} + 15 \, a^{8} c^{7} d^{3}\right)} x^{4} + \frac{1}{3} \, {\left(28 \, a^{6} b^{2} c^{10} + 80 \, a^{7} b c^{9} d + 45 \, a^{8} c^{8} d^{2}\right)} x^{3} + {\left(4 \, a^{7} b c^{10} + 5 \, a^{8} c^{9} d\right)} x^{2}"," ",0,"1/19*b^8*d^10*x^19 + a^8*c^10*x + 1/9*(5*b^8*c*d^9 + 4*a*b^7*d^10)*x^18 + 1/17*(45*b^8*c^2*d^8 + 80*a*b^7*c*d^9 + 28*a^2*b^6*d^10)*x^17 + 1/2*(15*b^8*c^3*d^7 + 45*a*b^7*c^2*d^8 + 35*a^2*b^6*c*d^9 + 7*a^3*b^5*d^10)*x^16 + 2/3*(21*b^8*c^4*d^6 + 96*a*b^7*c^3*d^7 + 126*a^2*b^6*c^2*d^8 + 56*a^3*b^5*c*d^9 + 7*a^4*b^4*d^10)*x^15 + 2*(9*b^8*c^5*d^5 + 60*a*b^7*c^4*d^6 + 120*a^2*b^6*c^3*d^7 + 90*a^3*b^5*c^2*d^8 + 25*a^4*b^4*c*d^9 + 2*a^5*b^3*d^10)*x^14 + 14/13*(15*b^8*c^6*d^4 + 144*a*b^7*c^5*d^5 + 420*a^2*b^6*c^4*d^6 + 480*a^3*b^5*c^3*d^7 + 225*a^4*b^4*c^2*d^8 + 40*a^5*b^3*c*d^9 + 2*a^6*b^2*d^10)*x^13 + 2/3*(15*b^8*c^7*d^3 + 210*a*b^7*c^6*d^4 + 882*a^2*b^6*c^5*d^5 + 1470*a^3*b^5*c^4*d^6 + 1050*a^4*b^4*c^3*d^7 + 315*a^5*b^3*c^2*d^8 + 35*a^6*b^2*c*d^9 + a^7*b*d^10)*x^12 + 1/11*(45*b^8*c^8*d^2 + 960*a*b^7*c^7*d^3 + 5880*a^2*b^6*c^6*d^4 + 14112*a^3*b^5*c^5*d^5 + 14700*a^4*b^4*c^4*d^6 + 6720*a^5*b^3*c^3*d^7 + 1260*a^6*b^2*c^2*d^8 + 80*a^7*b*c*d^9 + a^8*d^10)*x^11 + (b^8*c^9*d + 36*a*b^7*c^8*d^2 + 336*a^2*b^6*c^7*d^3 + 1176*a^3*b^5*c^6*d^4 + 1764*a^4*b^4*c^5*d^5 + 1176*a^5*b^3*c^4*d^6 + 336*a^6*b^2*c^3*d^7 + 36*a^7*b*c^2*d^8 + a^8*c*d^9)*x^10 + 1/9*(b^8*c^10 + 80*a*b^7*c^9*d + 1260*a^2*b^6*c^8*d^2 + 6720*a^3*b^5*c^7*d^3 + 14700*a^4*b^4*c^6*d^4 + 14112*a^5*b^3*c^5*d^5 + 5880*a^6*b^2*c^4*d^6 + 960*a^7*b*c^3*d^7 + 45*a^8*c^2*d^8)*x^9 + (a*b^7*c^10 + 35*a^2*b^6*c^9*d + 315*a^3*b^5*c^8*d^2 + 1050*a^4*b^4*c^7*d^3 + 1470*a^5*b^3*c^6*d^4 + 882*a^6*b^2*c^5*d^5 + 210*a^7*b*c^4*d^6 + 15*a^8*c^3*d^7)*x^8 + 2*(2*a^2*b^6*c^10 + 40*a^3*b^5*c^9*d + 225*a^4*b^4*c^8*d^2 + 480*a^5*b^3*c^7*d^3 + 420*a^6*b^2*c^6*d^4 + 144*a^7*b*c^5*d^5 + 15*a^8*c^4*d^6)*x^7 + 14/3*(2*a^3*b^5*c^10 + 25*a^4*b^4*c^9*d + 90*a^5*b^3*c^8*d^2 + 120*a^6*b^2*c^7*d^3 + 60*a^7*b*c^6*d^4 + 9*a^8*c^5*d^5)*x^6 + 2*(7*a^4*b^4*c^10 + 56*a^5*b^3*c^9*d + 126*a^6*b^2*c^8*d^2 + 96*a^7*b*c^7*d^3 + 21*a^8*c^6*d^4)*x^5 + 2*(7*a^5*b^3*c^10 + 35*a^6*b^2*c^9*d + 45*a^7*b*c^8*d^2 + 15*a^8*c^7*d^3)*x^4 + 1/3*(28*a^6*b^2*c^10 + 80*a^7*b*c^9*d + 45*a^8*c^8*d^2)*x^3 + (4*a^7*b*c^10 + 5*a^8*c^9*d)*x^2","B",0
1304,1,1135,0,1.520082," ","integrate((b*x+a)^7*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{18} \, b^{7} d^{10} x^{18} + a^{7} c^{10} x + \frac{1}{17} \, {\left(10 \, b^{7} c d^{9} + 7 \, a b^{6} d^{10}\right)} x^{17} + \frac{1}{16} \, {\left(45 \, b^{7} c^{2} d^{8} + 70 \, a b^{6} c d^{9} + 21 \, a^{2} b^{5} d^{10}\right)} x^{16} + \frac{1}{3} \, {\left(24 \, b^{7} c^{3} d^{7} + 63 \, a b^{6} c^{2} d^{8} + 42 \, a^{2} b^{5} c d^{9} + 7 \, a^{3} b^{4} d^{10}\right)} x^{15} + \frac{5}{2} \, {\left(6 \, b^{7} c^{4} d^{6} + 24 \, a b^{6} c^{3} d^{7} + 27 \, a^{2} b^{5} c^{2} d^{8} + 10 \, a^{3} b^{4} c d^{9} + a^{4} b^{3} d^{10}\right)} x^{14} + \frac{7}{13} \, {\left(36 \, b^{7} c^{5} d^{5} + 210 \, a b^{6} c^{4} d^{6} + 360 \, a^{2} b^{5} c^{3} d^{7} + 225 \, a^{3} b^{4} c^{2} d^{8} + 50 \, a^{4} b^{3} c d^{9} + 3 \, a^{5} b^{2} d^{10}\right)} x^{13} + \frac{7}{12} \, {\left(30 \, b^{7} c^{6} d^{4} + 252 \, a b^{6} c^{5} d^{5} + 630 \, a^{2} b^{5} c^{4} d^{6} + 600 \, a^{3} b^{4} c^{3} d^{7} + 225 \, a^{4} b^{3} c^{2} d^{8} + 30 \, a^{5} b^{2} c d^{9} + a^{6} b d^{10}\right)} x^{12} + \frac{1}{11} \, {\left(120 \, b^{7} c^{7} d^{3} + 1470 \, a b^{6} c^{6} d^{4} + 5292 \, a^{2} b^{5} c^{5} d^{5} + 7350 \, a^{3} b^{4} c^{4} d^{6} + 4200 \, a^{4} b^{3} c^{3} d^{7} + 945 \, a^{5} b^{2} c^{2} d^{8} + 70 \, a^{6} b c d^{9} + a^{7} d^{10}\right)} x^{11} + \frac{1}{2} \, {\left(9 \, b^{7} c^{8} d^{2} + 168 \, a b^{6} c^{7} d^{3} + 882 \, a^{2} b^{5} c^{6} d^{4} + 1764 \, a^{3} b^{4} c^{5} d^{5} + 1470 \, a^{4} b^{3} c^{4} d^{6} + 504 \, a^{5} b^{2} c^{3} d^{7} + 63 \, a^{6} b c^{2} d^{8} + 2 \, a^{7} c d^{9}\right)} x^{10} + \frac{5}{9} \, {\left(2 \, b^{7} c^{9} d + 63 \, a b^{6} c^{8} d^{2} + 504 \, a^{2} b^{5} c^{7} d^{3} + 1470 \, a^{3} b^{4} c^{6} d^{4} + 1764 \, a^{4} b^{3} c^{5} d^{5} + 882 \, a^{5} b^{2} c^{4} d^{6} + 168 \, a^{6} b c^{3} d^{7} + 9 \, a^{7} c^{2} d^{8}\right)} x^{9} + \frac{1}{8} \, {\left(b^{7} c^{10} + 70 \, a b^{6} c^{9} d + 945 \, a^{2} b^{5} c^{8} d^{2} + 4200 \, a^{3} b^{4} c^{7} d^{3} + 7350 \, a^{4} b^{3} c^{6} d^{4} + 5292 \, a^{5} b^{2} c^{5} d^{5} + 1470 \, a^{6} b c^{4} d^{6} + 120 \, a^{7} c^{3} d^{7}\right)} x^{8} + {\left(a b^{6} c^{10} + 30 \, a^{2} b^{5} c^{9} d + 225 \, a^{3} b^{4} c^{8} d^{2} + 600 \, a^{4} b^{3} c^{7} d^{3} + 630 \, a^{5} b^{2} c^{6} d^{4} + 252 \, a^{6} b c^{5} d^{5} + 30 \, a^{7} c^{4} d^{6}\right)} x^{7} + \frac{7}{6} \, {\left(3 \, a^{2} b^{5} c^{10} + 50 \, a^{3} b^{4} c^{9} d + 225 \, a^{4} b^{3} c^{8} d^{2} + 360 \, a^{5} b^{2} c^{7} d^{3} + 210 \, a^{6} b c^{6} d^{4} + 36 \, a^{7} c^{5} d^{5}\right)} x^{6} + 7 \, {\left(a^{3} b^{4} c^{10} + 10 \, a^{4} b^{3} c^{9} d + 27 \, a^{5} b^{2} c^{8} d^{2} + 24 \, a^{6} b c^{7} d^{3} + 6 \, a^{7} c^{6} d^{4}\right)} x^{5} + \frac{5}{4} \, {\left(7 \, a^{4} b^{3} c^{10} + 42 \, a^{5} b^{2} c^{9} d + 63 \, a^{6} b c^{8} d^{2} + 24 \, a^{7} c^{7} d^{3}\right)} x^{4} + \frac{1}{3} \, {\left(21 \, a^{5} b^{2} c^{10} + 70 \, a^{6} b c^{9} d + 45 \, a^{7} c^{8} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(7 \, a^{6} b c^{10} + 10 \, a^{7} c^{9} d\right)} x^{2}"," ",0,"1/18*b^7*d^10*x^18 + a^7*c^10*x + 1/17*(10*b^7*c*d^9 + 7*a*b^6*d^10)*x^17 + 1/16*(45*b^7*c^2*d^8 + 70*a*b^6*c*d^9 + 21*a^2*b^5*d^10)*x^16 + 1/3*(24*b^7*c^3*d^7 + 63*a*b^6*c^2*d^8 + 42*a^2*b^5*c*d^9 + 7*a^3*b^4*d^10)*x^15 + 5/2*(6*b^7*c^4*d^6 + 24*a*b^6*c^3*d^7 + 27*a^2*b^5*c^2*d^8 + 10*a^3*b^4*c*d^9 + a^4*b^3*d^10)*x^14 + 7/13*(36*b^7*c^5*d^5 + 210*a*b^6*c^4*d^6 + 360*a^2*b^5*c^3*d^7 + 225*a^3*b^4*c^2*d^8 + 50*a^4*b^3*c*d^9 + 3*a^5*b^2*d^10)*x^13 + 7/12*(30*b^7*c^6*d^4 + 252*a*b^6*c^5*d^5 + 630*a^2*b^5*c^4*d^6 + 600*a^3*b^4*c^3*d^7 + 225*a^4*b^3*c^2*d^8 + 30*a^5*b^2*c*d^9 + a^6*b*d^10)*x^12 + 1/11*(120*b^7*c^7*d^3 + 1470*a*b^6*c^6*d^4 + 5292*a^2*b^5*c^5*d^5 + 7350*a^3*b^4*c^4*d^6 + 4200*a^4*b^3*c^3*d^7 + 945*a^5*b^2*c^2*d^8 + 70*a^6*b*c*d^9 + a^7*d^10)*x^11 + 1/2*(9*b^7*c^8*d^2 + 168*a*b^6*c^7*d^3 + 882*a^2*b^5*c^6*d^4 + 1764*a^3*b^4*c^5*d^5 + 1470*a^4*b^3*c^4*d^6 + 504*a^5*b^2*c^3*d^7 + 63*a^6*b*c^2*d^8 + 2*a^7*c*d^9)*x^10 + 5/9*(2*b^7*c^9*d + 63*a*b^6*c^8*d^2 + 504*a^2*b^5*c^7*d^3 + 1470*a^3*b^4*c^6*d^4 + 1764*a^4*b^3*c^5*d^5 + 882*a^5*b^2*c^4*d^6 + 168*a^6*b*c^3*d^7 + 9*a^7*c^2*d^8)*x^9 + 1/8*(b^7*c^10 + 70*a*b^6*c^9*d + 945*a^2*b^5*c^8*d^2 + 4200*a^3*b^4*c^7*d^3 + 7350*a^4*b^3*c^6*d^4 + 5292*a^5*b^2*c^5*d^5 + 1470*a^6*b*c^4*d^6 + 120*a^7*c^3*d^7)*x^8 + (a*b^6*c^10 + 30*a^2*b^5*c^9*d + 225*a^3*b^4*c^8*d^2 + 600*a^4*b^3*c^7*d^3 + 630*a^5*b^2*c^6*d^4 + 252*a^6*b*c^5*d^5 + 30*a^7*c^4*d^6)*x^7 + 7/6*(3*a^2*b^5*c^10 + 50*a^3*b^4*c^9*d + 225*a^4*b^3*c^8*d^2 + 360*a^5*b^2*c^7*d^3 + 210*a^6*b*c^6*d^4 + 36*a^7*c^5*d^5)*x^6 + 7*(a^3*b^4*c^10 + 10*a^4*b^3*c^9*d + 27*a^5*b^2*c^8*d^2 + 24*a^6*b*c^7*d^3 + 6*a^7*c^6*d^4)*x^5 + 5/4*(7*a^4*b^3*c^10 + 42*a^5*b^2*c^9*d + 63*a^6*b*c^8*d^2 + 24*a^7*c^7*d^3)*x^4 + 1/3*(21*a^5*b^2*c^10 + 70*a^6*b*c^9*d + 45*a^7*c^8*d^2)*x^3 + 1/2*(7*a^6*b*c^10 + 10*a^7*c^9*d)*x^2","B",0
1305,1,977,0,1.438839," ","integrate((b*x+a)^6*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{17} \, b^{6} d^{10} x^{17} + a^{6} c^{10} x + \frac{1}{8} \, {\left(5 \, b^{6} c d^{9} + 3 \, a b^{5} d^{10}\right)} x^{16} + {\left(3 \, b^{6} c^{2} d^{8} + 4 \, a b^{5} c d^{9} + a^{2} b^{4} d^{10}\right)} x^{15} + \frac{5}{7} \, {\left(12 \, b^{6} c^{3} d^{7} + 27 \, a b^{5} c^{2} d^{8} + 15 \, a^{2} b^{4} c d^{9} + 2 \, a^{3} b^{3} d^{10}\right)} x^{14} + \frac{5}{13} \, {\left(42 \, b^{6} c^{4} d^{6} + 144 \, a b^{5} c^{3} d^{7} + 135 \, a^{2} b^{4} c^{2} d^{8} + 40 \, a^{3} b^{3} c d^{9} + 3 \, a^{4} b^{2} d^{10}\right)} x^{13} + \frac{1}{2} \, {\left(42 \, b^{6} c^{5} d^{5} + 210 \, a b^{5} c^{4} d^{6} + 300 \, a^{2} b^{4} c^{3} d^{7} + 150 \, a^{3} b^{3} c^{2} d^{8} + 25 \, a^{4} b^{2} c d^{9} + a^{5} b d^{10}\right)} x^{12} + \frac{1}{11} \, {\left(210 \, b^{6} c^{6} d^{4} + 1512 \, a b^{5} c^{5} d^{5} + 3150 \, a^{2} b^{4} c^{4} d^{6} + 2400 \, a^{3} b^{3} c^{3} d^{7} + 675 \, a^{4} b^{2} c^{2} d^{8} + 60 \, a^{5} b c d^{9} + a^{6} d^{10}\right)} x^{11} + {\left(12 \, b^{6} c^{7} d^{3} + 126 \, a b^{5} c^{6} d^{4} + 378 \, a^{2} b^{4} c^{5} d^{5} + 420 \, a^{3} b^{3} c^{4} d^{6} + 180 \, a^{4} b^{2} c^{3} d^{7} + 27 \, a^{5} b c^{2} d^{8} + a^{6} c d^{9}\right)} x^{10} + 5 \, {\left(b^{6} c^{8} d^{2} + 16 \, a b^{5} c^{7} d^{3} + 70 \, a^{2} b^{4} c^{6} d^{4} + 112 \, a^{3} b^{3} c^{5} d^{5} + 70 \, a^{4} b^{2} c^{4} d^{6} + 16 \, a^{5} b c^{3} d^{7} + a^{6} c^{2} d^{8}\right)} x^{9} + \frac{5}{4} \, {\left(b^{6} c^{9} d + 27 \, a b^{5} c^{8} d^{2} + 180 \, a^{2} b^{4} c^{7} d^{3} + 420 \, a^{3} b^{3} c^{6} d^{4} + 378 \, a^{4} b^{2} c^{5} d^{5} + 126 \, a^{5} b c^{4} d^{6} + 12 \, a^{6} c^{3} d^{7}\right)} x^{8} + \frac{1}{7} \, {\left(b^{6} c^{10} + 60 \, a b^{5} c^{9} d + 675 \, a^{2} b^{4} c^{8} d^{2} + 2400 \, a^{3} b^{3} c^{7} d^{3} + 3150 \, a^{4} b^{2} c^{6} d^{4} + 1512 \, a^{5} b c^{5} d^{5} + 210 \, a^{6} c^{4} d^{6}\right)} x^{7} + {\left(a b^{5} c^{10} + 25 \, a^{2} b^{4} c^{9} d + 150 \, a^{3} b^{3} c^{8} d^{2} + 300 \, a^{4} b^{2} c^{7} d^{3} + 210 \, a^{5} b c^{6} d^{4} + 42 \, a^{6} c^{5} d^{5}\right)} x^{6} + {\left(3 \, a^{2} b^{4} c^{10} + 40 \, a^{3} b^{3} c^{9} d + 135 \, a^{4} b^{2} c^{8} d^{2} + 144 \, a^{5} b c^{7} d^{3} + 42 \, a^{6} c^{6} d^{4}\right)} x^{5} + \frac{5}{2} \, {\left(2 \, a^{3} b^{3} c^{10} + 15 \, a^{4} b^{2} c^{9} d + 27 \, a^{5} b c^{8} d^{2} + 12 \, a^{6} c^{7} d^{3}\right)} x^{4} + 5 \, {\left(a^{4} b^{2} c^{10} + 4 \, a^{5} b c^{9} d + 3 \, a^{6} c^{8} d^{2}\right)} x^{3} + {\left(3 \, a^{5} b c^{10} + 5 \, a^{6} c^{9} d\right)} x^{2}"," ",0,"1/17*b^6*d^10*x^17 + a^6*c^10*x + 1/8*(5*b^6*c*d^9 + 3*a*b^5*d^10)*x^16 + (3*b^6*c^2*d^8 + 4*a*b^5*c*d^9 + a^2*b^4*d^10)*x^15 + 5/7*(12*b^6*c^3*d^7 + 27*a*b^5*c^2*d^8 + 15*a^2*b^4*c*d^9 + 2*a^3*b^3*d^10)*x^14 + 5/13*(42*b^6*c^4*d^6 + 144*a*b^5*c^3*d^7 + 135*a^2*b^4*c^2*d^8 + 40*a^3*b^3*c*d^9 + 3*a^4*b^2*d^10)*x^13 + 1/2*(42*b^6*c^5*d^5 + 210*a*b^5*c^4*d^6 + 300*a^2*b^4*c^3*d^7 + 150*a^3*b^3*c^2*d^8 + 25*a^4*b^2*c*d^9 + a^5*b*d^10)*x^12 + 1/11*(210*b^6*c^6*d^4 + 1512*a*b^5*c^5*d^5 + 3150*a^2*b^4*c^4*d^6 + 2400*a^3*b^3*c^3*d^7 + 675*a^4*b^2*c^2*d^8 + 60*a^5*b*c*d^9 + a^6*d^10)*x^11 + (12*b^6*c^7*d^3 + 126*a*b^5*c^6*d^4 + 378*a^2*b^4*c^5*d^5 + 420*a^3*b^3*c^4*d^6 + 180*a^4*b^2*c^3*d^7 + 27*a^5*b*c^2*d^8 + a^6*c*d^9)*x^10 + 5*(b^6*c^8*d^2 + 16*a*b^5*c^7*d^3 + 70*a^2*b^4*c^6*d^4 + 112*a^3*b^3*c^5*d^5 + 70*a^4*b^2*c^4*d^6 + 16*a^5*b*c^3*d^7 + a^6*c^2*d^8)*x^9 + 5/4*(b^6*c^9*d + 27*a*b^5*c^8*d^2 + 180*a^2*b^4*c^7*d^3 + 420*a^3*b^3*c^6*d^4 + 378*a^4*b^2*c^5*d^5 + 126*a^5*b*c^4*d^6 + 12*a^6*c^3*d^7)*x^8 + 1/7*(b^6*c^10 + 60*a*b^5*c^9*d + 675*a^2*b^4*c^8*d^2 + 2400*a^3*b^3*c^7*d^3 + 3150*a^4*b^2*c^6*d^4 + 1512*a^5*b*c^5*d^5 + 210*a^6*c^4*d^6)*x^7 + (a*b^5*c^10 + 25*a^2*b^4*c^9*d + 150*a^3*b^3*c^8*d^2 + 300*a^4*b^2*c^7*d^3 + 210*a^5*b*c^6*d^4 + 42*a^6*c^5*d^5)*x^6 + (3*a^2*b^4*c^10 + 40*a^3*b^3*c^9*d + 135*a^4*b^2*c^8*d^2 + 144*a^5*b*c^7*d^3 + 42*a^6*c^6*d^4)*x^5 + 5/2*(2*a^3*b^3*c^10 + 15*a^4*b^2*c^9*d + 27*a^5*b*c^8*d^2 + 12*a^6*c^7*d^3)*x^4 + 5*(a^4*b^2*c^10 + 4*a^5*b*c^9*d + 3*a^6*c^8*d^2)*x^3 + (3*a^5*b*c^10 + 5*a^6*c^9*d)*x^2","B",0
1306,1,835,0,1.464956," ","integrate((b*x+a)^5*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{16} \, b^{5} d^{10} x^{16} + a^{5} c^{10} x + \frac{1}{3} \, {\left(2 \, b^{5} c d^{9} + a b^{4} d^{10}\right)} x^{15} + \frac{5}{14} \, {\left(9 \, b^{5} c^{2} d^{8} + 10 \, a b^{4} c d^{9} + 2 \, a^{2} b^{3} d^{10}\right)} x^{14} + \frac{5}{13} \, {\left(24 \, b^{5} c^{3} d^{7} + 45 \, a b^{4} c^{2} d^{8} + 20 \, a^{2} b^{3} c d^{9} + 2 \, a^{3} b^{2} d^{10}\right)} x^{13} + \frac{5}{12} \, {\left(42 \, b^{5} c^{4} d^{6} + 120 \, a b^{4} c^{3} d^{7} + 90 \, a^{2} b^{3} c^{2} d^{8} + 20 \, a^{3} b^{2} c d^{9} + a^{4} b d^{10}\right)} x^{12} + \frac{1}{11} \, {\left(252 \, b^{5} c^{5} d^{5} + 1050 \, a b^{4} c^{4} d^{6} + 1200 \, a^{2} b^{3} c^{3} d^{7} + 450 \, a^{3} b^{2} c^{2} d^{8} + 50 \, a^{4} b c d^{9} + a^{5} d^{10}\right)} x^{11} + \frac{1}{2} \, {\left(42 \, b^{5} c^{6} d^{4} + 252 \, a b^{4} c^{5} d^{5} + 420 \, a^{2} b^{3} c^{4} d^{6} + 240 \, a^{3} b^{2} c^{3} d^{7} + 45 \, a^{4} b c^{2} d^{8} + 2 \, a^{5} c d^{9}\right)} x^{10} + \frac{5}{3} \, {\left(8 \, b^{5} c^{7} d^{3} + 70 \, a b^{4} c^{6} d^{4} + 168 \, a^{2} b^{3} c^{5} d^{5} + 140 \, a^{3} b^{2} c^{4} d^{6} + 40 \, a^{4} b c^{3} d^{7} + 3 \, a^{5} c^{2} d^{8}\right)} x^{9} + \frac{15}{8} \, {\left(3 \, b^{5} c^{8} d^{2} + 40 \, a b^{4} c^{7} d^{3} + 140 \, a^{2} b^{3} c^{6} d^{4} + 168 \, a^{3} b^{2} c^{5} d^{5} + 70 \, a^{4} b c^{4} d^{6} + 8 \, a^{5} c^{3} d^{7}\right)} x^{8} + \frac{5}{7} \, {\left(2 \, b^{5} c^{9} d + 45 \, a b^{4} c^{8} d^{2} + 240 \, a^{2} b^{3} c^{7} d^{3} + 420 \, a^{3} b^{2} c^{6} d^{4} + 252 \, a^{4} b c^{5} d^{5} + 42 \, a^{5} c^{4} d^{6}\right)} x^{7} + \frac{1}{6} \, {\left(b^{5} c^{10} + 50 \, a b^{4} c^{9} d + 450 \, a^{2} b^{3} c^{8} d^{2} + 1200 \, a^{3} b^{2} c^{7} d^{3} + 1050 \, a^{4} b c^{6} d^{4} + 252 \, a^{5} c^{5} d^{5}\right)} x^{6} + {\left(a b^{4} c^{10} + 20 \, a^{2} b^{3} c^{9} d + 90 \, a^{3} b^{2} c^{8} d^{2} + 120 \, a^{4} b c^{7} d^{3} + 42 \, a^{5} c^{6} d^{4}\right)} x^{5} + \frac{5}{4} \, {\left(2 \, a^{2} b^{3} c^{10} + 20 \, a^{3} b^{2} c^{9} d + 45 \, a^{4} b c^{8} d^{2} + 24 \, a^{5} c^{7} d^{3}\right)} x^{4} + \frac{5}{3} \, {\left(2 \, a^{3} b^{2} c^{10} + 10 \, a^{4} b c^{9} d + 9 \, a^{5} c^{8} d^{2}\right)} x^{3} + \frac{5}{2} \, {\left(a^{4} b c^{10} + 2 \, a^{5} c^{9} d\right)} x^{2}"," ",0,"1/16*b^5*d^10*x^16 + a^5*c^10*x + 1/3*(2*b^5*c*d^9 + a*b^4*d^10)*x^15 + 5/14*(9*b^5*c^2*d^8 + 10*a*b^4*c*d^9 + 2*a^2*b^3*d^10)*x^14 + 5/13*(24*b^5*c^3*d^7 + 45*a*b^4*c^2*d^8 + 20*a^2*b^3*c*d^9 + 2*a^3*b^2*d^10)*x^13 + 5/12*(42*b^5*c^4*d^6 + 120*a*b^4*c^3*d^7 + 90*a^2*b^3*c^2*d^8 + 20*a^3*b^2*c*d^9 + a^4*b*d^10)*x^12 + 1/11*(252*b^5*c^5*d^5 + 1050*a*b^4*c^4*d^6 + 1200*a^2*b^3*c^3*d^7 + 450*a^3*b^2*c^2*d^8 + 50*a^4*b*c*d^9 + a^5*d^10)*x^11 + 1/2*(42*b^5*c^6*d^4 + 252*a*b^4*c^5*d^5 + 420*a^2*b^3*c^4*d^6 + 240*a^3*b^2*c^3*d^7 + 45*a^4*b*c^2*d^8 + 2*a^5*c*d^9)*x^10 + 5/3*(8*b^5*c^7*d^3 + 70*a*b^4*c^6*d^4 + 168*a^2*b^3*c^5*d^5 + 140*a^3*b^2*c^4*d^6 + 40*a^4*b*c^3*d^7 + 3*a^5*c^2*d^8)*x^9 + 15/8*(3*b^5*c^8*d^2 + 40*a*b^4*c^7*d^3 + 140*a^2*b^3*c^6*d^4 + 168*a^3*b^2*c^5*d^5 + 70*a^4*b*c^4*d^6 + 8*a^5*c^3*d^7)*x^8 + 5/7*(2*b^5*c^9*d + 45*a*b^4*c^8*d^2 + 240*a^2*b^3*c^7*d^3 + 420*a^3*b^2*c^6*d^4 + 252*a^4*b*c^5*d^5 + 42*a^5*c^4*d^6)*x^7 + 1/6*(b^5*c^10 + 50*a*b^4*c^9*d + 450*a^2*b^3*c^8*d^2 + 1200*a^3*b^2*c^7*d^3 + 1050*a^4*b*c^6*d^4 + 252*a^5*c^5*d^5)*x^6 + (a*b^4*c^10 + 20*a^2*b^3*c^9*d + 90*a^3*b^2*c^8*d^2 + 120*a^4*b*c^7*d^3 + 42*a^5*c^6*d^4)*x^5 + 5/4*(2*a^2*b^3*c^10 + 20*a^3*b^2*c^9*d + 45*a^4*b*c^8*d^2 + 24*a^5*c^7*d^3)*x^4 + 5/3*(2*a^3*b^2*c^10 + 10*a^4*b*c^9*d + 9*a^5*c^8*d^2)*x^3 + 5/2*(a^4*b*c^10 + 2*a^5*c^9*d)*x^2","B",0
1307,1,686,0,1.422559," ","integrate((b*x+a)^4*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{15} \, b^{4} d^{10} x^{15} + a^{4} c^{10} x + \frac{1}{7} \, {\left(5 \, b^{4} c d^{9} + 2 \, a b^{3} d^{10}\right)} x^{14} + \frac{1}{13} \, {\left(45 \, b^{4} c^{2} d^{8} + 40 \, a b^{3} c d^{9} + 6 \, a^{2} b^{2} d^{10}\right)} x^{13} + \frac{1}{3} \, {\left(30 \, b^{4} c^{3} d^{7} + 45 \, a b^{3} c^{2} d^{8} + 15 \, a^{2} b^{2} c d^{9} + a^{3} b d^{10}\right)} x^{12} + \frac{1}{11} \, {\left(210 \, b^{4} c^{4} d^{6} + 480 \, a b^{3} c^{3} d^{7} + 270 \, a^{2} b^{2} c^{2} d^{8} + 40 \, a^{3} b c d^{9} + a^{4} d^{10}\right)} x^{11} + \frac{1}{5} \, {\left(126 \, b^{4} c^{5} d^{5} + 420 \, a b^{3} c^{4} d^{6} + 360 \, a^{2} b^{2} c^{3} d^{7} + 90 \, a^{3} b c^{2} d^{8} + 5 \, a^{4} c d^{9}\right)} x^{10} + \frac{1}{3} \, {\left(70 \, b^{4} c^{6} d^{4} + 336 \, a b^{3} c^{5} d^{5} + 420 \, a^{2} b^{2} c^{4} d^{6} + 160 \, a^{3} b c^{3} d^{7} + 15 \, a^{4} c^{2} d^{8}\right)} x^{9} + 3 \, {\left(5 \, b^{4} c^{7} d^{3} + 35 \, a b^{3} c^{6} d^{4} + 63 \, a^{2} b^{2} c^{5} d^{5} + 35 \, a^{3} b c^{4} d^{6} + 5 \, a^{4} c^{3} d^{7}\right)} x^{8} + \frac{3}{7} \, {\left(15 \, b^{4} c^{8} d^{2} + 160 \, a b^{3} c^{7} d^{3} + 420 \, a^{2} b^{2} c^{6} d^{4} + 336 \, a^{3} b c^{5} d^{5} + 70 \, a^{4} c^{4} d^{6}\right)} x^{7} + \frac{1}{3} \, {\left(5 \, b^{4} c^{9} d + 90 \, a b^{3} c^{8} d^{2} + 360 \, a^{2} b^{2} c^{7} d^{3} + 420 \, a^{3} b c^{6} d^{4} + 126 \, a^{4} c^{5} d^{5}\right)} x^{6} + \frac{1}{5} \, {\left(b^{4} c^{10} + 40 \, a b^{3} c^{9} d + 270 \, a^{2} b^{2} c^{8} d^{2} + 480 \, a^{3} b c^{7} d^{3} + 210 \, a^{4} c^{6} d^{4}\right)} x^{5} + {\left(a b^{3} c^{10} + 15 \, a^{2} b^{2} c^{9} d + 45 \, a^{3} b c^{8} d^{2} + 30 \, a^{4} c^{7} d^{3}\right)} x^{4} + \frac{1}{3} \, {\left(6 \, a^{2} b^{2} c^{10} + 40 \, a^{3} b c^{9} d + 45 \, a^{4} c^{8} d^{2}\right)} x^{3} + {\left(2 \, a^{3} b c^{10} + 5 \, a^{4} c^{9} d\right)} x^{2}"," ",0,"1/15*b^4*d^10*x^15 + a^4*c^10*x + 1/7*(5*b^4*c*d^9 + 2*a*b^3*d^10)*x^14 + 1/13*(45*b^4*c^2*d^8 + 40*a*b^3*c*d^9 + 6*a^2*b^2*d^10)*x^13 + 1/3*(30*b^4*c^3*d^7 + 45*a*b^3*c^2*d^8 + 15*a^2*b^2*c*d^9 + a^3*b*d^10)*x^12 + 1/11*(210*b^4*c^4*d^6 + 480*a*b^3*c^3*d^7 + 270*a^2*b^2*c^2*d^8 + 40*a^3*b*c*d^9 + a^4*d^10)*x^11 + 1/5*(126*b^4*c^5*d^5 + 420*a*b^3*c^4*d^6 + 360*a^2*b^2*c^3*d^7 + 90*a^3*b*c^2*d^8 + 5*a^4*c*d^9)*x^10 + 1/3*(70*b^4*c^6*d^4 + 336*a*b^3*c^5*d^5 + 420*a^2*b^2*c^4*d^6 + 160*a^3*b*c^3*d^7 + 15*a^4*c^2*d^8)*x^9 + 3*(5*b^4*c^7*d^3 + 35*a*b^3*c^6*d^4 + 63*a^2*b^2*c^5*d^5 + 35*a^3*b*c^4*d^6 + 5*a^4*c^3*d^7)*x^8 + 3/7*(15*b^4*c^8*d^2 + 160*a*b^3*c^7*d^3 + 420*a^2*b^2*c^6*d^4 + 336*a^3*b*c^5*d^5 + 70*a^4*c^4*d^6)*x^7 + 1/3*(5*b^4*c^9*d + 90*a*b^3*c^8*d^2 + 360*a^2*b^2*c^7*d^3 + 420*a^3*b*c^6*d^4 + 126*a^4*c^5*d^5)*x^6 + 1/5*(b^4*c^10 + 40*a*b^3*c^9*d + 270*a^2*b^2*c^8*d^2 + 480*a^3*b*c^7*d^3 + 210*a^4*c^6*d^4)*x^5 + (a*b^3*c^10 + 15*a^2*b^2*c^9*d + 45*a^3*b*c^8*d^2 + 30*a^4*c^7*d^3)*x^4 + 1/3*(6*a^2*b^2*c^10 + 40*a^3*b*c^9*d + 45*a^4*c^8*d^2)*x^3 + (2*a^3*b*c^10 + 5*a^4*c^9*d)*x^2","B",0
1308,1,535,0,1.324258," ","integrate((b*x+a)^3*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{14} \, b^{3} d^{10} x^{14} + a^{3} c^{10} x + \frac{1}{13} \, {\left(10 \, b^{3} c d^{9} + 3 \, a b^{2} d^{10}\right)} x^{13} + \frac{1}{4} \, {\left(15 \, b^{3} c^{2} d^{8} + 10 \, a b^{2} c d^{9} + a^{2} b d^{10}\right)} x^{12} + \frac{1}{11} \, {\left(120 \, b^{3} c^{3} d^{7} + 135 \, a b^{2} c^{2} d^{8} + 30 \, a^{2} b c d^{9} + a^{3} d^{10}\right)} x^{11} + \frac{1}{2} \, {\left(42 \, b^{3} c^{4} d^{6} + 72 \, a b^{2} c^{3} d^{7} + 27 \, a^{2} b c^{2} d^{8} + 2 \, a^{3} c d^{9}\right)} x^{10} + {\left(28 \, b^{3} c^{5} d^{5} + 70 \, a b^{2} c^{4} d^{6} + 40 \, a^{2} b c^{3} d^{7} + 5 \, a^{3} c^{2} d^{8}\right)} x^{9} + \frac{3}{4} \, {\left(35 \, b^{3} c^{6} d^{4} + 126 \, a b^{2} c^{5} d^{5} + 105 \, a^{2} b c^{4} d^{6} + 20 \, a^{3} c^{3} d^{7}\right)} x^{8} + \frac{6}{7} \, {\left(20 \, b^{3} c^{7} d^{3} + 105 \, a b^{2} c^{6} d^{4} + 126 \, a^{2} b c^{5} d^{5} + 35 \, a^{3} c^{4} d^{6}\right)} x^{7} + \frac{3}{2} \, {\left(5 \, b^{3} c^{8} d^{2} + 40 \, a b^{2} c^{7} d^{3} + 70 \, a^{2} b c^{6} d^{4} + 28 \, a^{3} c^{5} d^{5}\right)} x^{6} + {\left(2 \, b^{3} c^{9} d + 27 \, a b^{2} c^{8} d^{2} + 72 \, a^{2} b c^{7} d^{3} + 42 \, a^{3} c^{6} d^{4}\right)} x^{5} + \frac{1}{4} \, {\left(b^{3} c^{10} + 30 \, a b^{2} c^{9} d + 135 \, a^{2} b c^{8} d^{2} + 120 \, a^{3} c^{7} d^{3}\right)} x^{4} + {\left(a b^{2} c^{10} + 10 \, a^{2} b c^{9} d + 15 \, a^{3} c^{8} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(3 \, a^{2} b c^{10} + 10 \, a^{3} c^{9} d\right)} x^{2}"," ",0,"1/14*b^3*d^10*x^14 + a^3*c^10*x + 1/13*(10*b^3*c*d^9 + 3*a*b^2*d^10)*x^13 + 1/4*(15*b^3*c^2*d^8 + 10*a*b^2*c*d^9 + a^2*b*d^10)*x^12 + 1/11*(120*b^3*c^3*d^7 + 135*a*b^2*c^2*d^8 + 30*a^2*b*c*d^9 + a^3*d^10)*x^11 + 1/2*(42*b^3*c^4*d^6 + 72*a*b^2*c^3*d^7 + 27*a^2*b*c^2*d^8 + 2*a^3*c*d^9)*x^10 + (28*b^3*c^5*d^5 + 70*a*b^2*c^4*d^6 + 40*a^2*b*c^3*d^7 + 5*a^3*c^2*d^8)*x^9 + 3/4*(35*b^3*c^6*d^4 + 126*a*b^2*c^5*d^5 + 105*a^2*b*c^4*d^6 + 20*a^3*c^3*d^7)*x^8 + 6/7*(20*b^3*c^7*d^3 + 105*a*b^2*c^6*d^4 + 126*a^2*b*c^5*d^5 + 35*a^3*c^4*d^6)*x^7 + 3/2*(5*b^3*c^8*d^2 + 40*a*b^2*c^7*d^3 + 70*a^2*b*c^6*d^4 + 28*a^3*c^5*d^5)*x^6 + (2*b^3*c^9*d + 27*a*b^2*c^8*d^2 + 72*a^2*b*c^7*d^3 + 42*a^3*c^6*d^4)*x^5 + 1/4*(b^3*c^10 + 30*a*b^2*c^9*d + 135*a^2*b*c^8*d^2 + 120*a^3*c^7*d^3)*x^4 + (a*b^2*c^10 + 10*a^2*b*c^9*d + 15*a^3*c^8*d^2)*x^3 + 1/2*(3*a^2*b*c^10 + 10*a^3*c^9*d)*x^2","B",0
1309,1,384,0,1.331660," ","integrate((b*x+a)^2*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{13} \, b^{2} d^{10} x^{13} + a^{2} c^{10} x + \frac{1}{6} \, {\left(5 \, b^{2} c d^{9} + a b d^{10}\right)} x^{12} + \frac{1}{11} \, {\left(45 \, b^{2} c^{2} d^{8} + 20 \, a b c d^{9} + a^{2} d^{10}\right)} x^{11} + {\left(12 \, b^{2} c^{3} d^{7} + 9 \, a b c^{2} d^{8} + a^{2} c d^{9}\right)} x^{10} + \frac{5}{3} \, {\left(14 \, b^{2} c^{4} d^{6} + 16 \, a b c^{3} d^{7} + 3 \, a^{2} c^{2} d^{8}\right)} x^{9} + \frac{3}{2} \, {\left(21 \, b^{2} c^{5} d^{5} + 35 \, a b c^{4} d^{6} + 10 \, a^{2} c^{3} d^{7}\right)} x^{8} + 6 \, {\left(5 \, b^{2} c^{6} d^{4} + 12 \, a b c^{5} d^{5} + 5 \, a^{2} c^{4} d^{6}\right)} x^{7} + 2 \, {\left(10 \, b^{2} c^{7} d^{3} + 35 \, a b c^{6} d^{4} + 21 \, a^{2} c^{5} d^{5}\right)} x^{6} + 3 \, {\left(3 \, b^{2} c^{8} d^{2} + 16 \, a b c^{7} d^{3} + 14 \, a^{2} c^{6} d^{4}\right)} x^{5} + \frac{5}{2} \, {\left(b^{2} c^{9} d + 9 \, a b c^{8} d^{2} + 12 \, a^{2} c^{7} d^{3}\right)} x^{4} + \frac{1}{3} \, {\left(b^{2} c^{10} + 20 \, a b c^{9} d + 45 \, a^{2} c^{8} d^{2}\right)} x^{3} + {\left(a b c^{10} + 5 \, a^{2} c^{9} d\right)} x^{2}"," ",0,"1/13*b^2*d^10*x^13 + a^2*c^10*x + 1/6*(5*b^2*c*d^9 + a*b*d^10)*x^12 + 1/11*(45*b^2*c^2*d^8 + 20*a*b*c*d^9 + a^2*d^10)*x^11 + (12*b^2*c^3*d^7 + 9*a*b*c^2*d^8 + a^2*c*d^9)*x^10 + 5/3*(14*b^2*c^4*d^6 + 16*a*b*c^3*d^7 + 3*a^2*c^2*d^8)*x^9 + 3/2*(21*b^2*c^5*d^5 + 35*a*b*c^4*d^6 + 10*a^2*c^3*d^7)*x^8 + 6*(5*b^2*c^6*d^4 + 12*a*b*c^5*d^5 + 5*a^2*c^4*d^6)*x^7 + 2*(10*b^2*c^7*d^3 + 35*a*b*c^6*d^4 + 21*a^2*c^5*d^5)*x^6 + 3*(3*b^2*c^8*d^2 + 16*a*b*c^7*d^3 + 14*a^2*c^6*d^4)*x^5 + 5/2*(b^2*c^9*d + 9*a*b*c^8*d^2 + 12*a^2*c^7*d^3)*x^4 + 1/3*(b^2*c^10 + 20*a*b*c^9*d + 45*a^2*c^8*d^2)*x^3 + (a*b*c^10 + 5*a^2*c^9*d)*x^2","B",0
1310,1,240,0,1.434271," ","integrate((b*x+a)*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{12} \, b d^{10} x^{12} + a c^{10} x + \frac{1}{11} \, {\left(10 \, b c d^{9} + a d^{10}\right)} x^{11} + \frac{1}{2} \, {\left(9 \, b c^{2} d^{8} + 2 \, a c d^{9}\right)} x^{10} + \frac{5}{3} \, {\left(8 \, b c^{3} d^{7} + 3 \, a c^{2} d^{8}\right)} x^{9} + \frac{15}{4} \, {\left(7 \, b c^{4} d^{6} + 4 \, a c^{3} d^{7}\right)} x^{8} + 6 \, {\left(6 \, b c^{5} d^{5} + 5 \, a c^{4} d^{6}\right)} x^{7} + 7 \, {\left(5 \, b c^{6} d^{4} + 6 \, a c^{5} d^{5}\right)} x^{6} + 6 \, {\left(4 \, b c^{7} d^{3} + 7 \, a c^{6} d^{4}\right)} x^{5} + \frac{15}{4} \, {\left(3 \, b c^{8} d^{2} + 8 \, a c^{7} d^{3}\right)} x^{4} + \frac{5}{3} \, {\left(2 \, b c^{9} d + 9 \, a c^{8} d^{2}\right)} x^{3} + \frac{1}{2} \, {\left(b c^{10} + 10 \, a c^{9} d\right)} x^{2}"," ",0,"1/12*b*d^10*x^12 + a*c^10*x + 1/11*(10*b*c*d^9 + a*d^10)*x^11 + 1/2*(9*b*c^2*d^8 + 2*a*c*d^9)*x^10 + 5/3*(8*b*c^3*d^7 + 3*a*c^2*d^8)*x^9 + 15/4*(7*b*c^4*d^6 + 4*a*c^3*d^7)*x^8 + 6*(6*b*c^5*d^5 + 5*a*c^4*d^6)*x^7 + 7*(5*b*c^6*d^4 + 6*a*c^5*d^5)*x^6 + 6*(4*b*c^7*d^3 + 7*a*c^6*d^4)*x^5 + 15/4*(3*b*c^8*d^2 + 8*a*c^7*d^3)*x^4 + 5/3*(2*b*c^9*d + 9*a*c^8*d^2)*x^3 + 1/2*(b*c^10 + 10*a*c^9*d)*x^2","B",0
1311,1,12,0,1.370768," ","integrate((d*x+c)^10,x, algorithm=""maxima"")","\frac{{\left(d x + c\right)}^{11}}{11 \, d}"," ",0,"1/11*(d*x + c)^11/d","A",0
1312,1,866,0,1.522582," ","integrate((d*x+c)^10/(b*x+a),x, algorithm=""maxima"")","\frac{252 \, b^{9} d^{10} x^{10} + 280 \, {\left(10 \, b^{9} c d^{9} - a b^{8} d^{10}\right)} x^{9} + 315 \, {\left(45 \, b^{9} c^{2} d^{8} - 10 \, a b^{8} c d^{9} + a^{2} b^{7} d^{10}\right)} x^{8} + 360 \, {\left(120 \, b^{9} c^{3} d^{7} - 45 \, a b^{8} c^{2} d^{8} + 10 \, a^{2} b^{7} c d^{9} - a^{3} b^{6} d^{10}\right)} x^{7} + 420 \, {\left(210 \, b^{9} c^{4} d^{6} - 120 \, a b^{8} c^{3} d^{7} + 45 \, a^{2} b^{7} c^{2} d^{8} - 10 \, a^{3} b^{6} c d^{9} + a^{4} b^{5} d^{10}\right)} x^{6} + 504 \, {\left(252 \, b^{9} c^{5} d^{5} - 210 \, a b^{8} c^{4} d^{6} + 120 \, a^{2} b^{7} c^{3} d^{7} - 45 \, a^{3} b^{6} c^{2} d^{8} + 10 \, a^{4} b^{5} c d^{9} - a^{5} b^{4} d^{10}\right)} x^{5} + 630 \, {\left(210 \, b^{9} c^{6} d^{4} - 252 \, a b^{8} c^{5} d^{5} + 210 \, a^{2} b^{7} c^{4} d^{6} - 120 \, a^{3} b^{6} c^{3} d^{7} + 45 \, a^{4} b^{5} c^{2} d^{8} - 10 \, a^{5} b^{4} c d^{9} + a^{6} b^{3} d^{10}\right)} x^{4} + 840 \, {\left(120 \, b^{9} c^{7} d^{3} - 210 \, a b^{8} c^{6} d^{4} + 252 \, a^{2} b^{7} c^{5} d^{5} - 210 \, a^{3} b^{6} c^{4} d^{6} + 120 \, a^{4} b^{5} c^{3} d^{7} - 45 \, a^{5} b^{4} c^{2} d^{8} + 10 \, a^{6} b^{3} c d^{9} - a^{7} b^{2} d^{10}\right)} x^{3} + 1260 \, {\left(45 \, b^{9} c^{8} d^{2} - 120 \, a b^{8} c^{7} d^{3} + 210 \, a^{2} b^{7} c^{6} d^{4} - 252 \, a^{3} b^{6} c^{5} d^{5} + 210 \, a^{4} b^{5} c^{4} d^{6} - 120 \, a^{5} b^{4} c^{3} d^{7} + 45 \, a^{6} b^{3} c^{2} d^{8} - 10 \, a^{7} b^{2} c d^{9} + a^{8} b d^{10}\right)} x^{2} + 2520 \, {\left(10 \, b^{9} c^{9} d - 45 \, a b^{8} c^{8} d^{2} + 120 \, a^{2} b^{7} c^{7} d^{3} - 210 \, a^{3} b^{6} c^{6} d^{4} + 252 \, a^{4} b^{5} c^{5} d^{5} - 210 \, a^{5} b^{4} c^{4} d^{6} + 120 \, a^{6} b^{3} c^{3} d^{7} - 45 \, a^{7} b^{2} c^{2} d^{8} + 10 \, a^{8} b c d^{9} - a^{9} d^{10}\right)} x}{2520 \, b^{10}} + \frac{{\left(b^{10} c^{10} - 10 \, a b^{9} c^{9} d + 45 \, a^{2} b^{8} c^{8} d^{2} - 120 \, a^{3} b^{7} c^{7} d^{3} + 210 \, a^{4} b^{6} c^{6} d^{4} - 252 \, a^{5} b^{5} c^{5} d^{5} + 210 \, a^{6} b^{4} c^{4} d^{6} - 120 \, a^{7} b^{3} c^{3} d^{7} + 45 \, a^{8} b^{2} c^{2} d^{8} - 10 \, a^{9} b c d^{9} + a^{10} d^{10}\right)} \log\left(b x + a\right)}{b^{11}}"," ",0,"1/2520*(252*b^9*d^10*x^10 + 280*(10*b^9*c*d^9 - a*b^8*d^10)*x^9 + 315*(45*b^9*c^2*d^8 - 10*a*b^8*c*d^9 + a^2*b^7*d^10)*x^8 + 360*(120*b^9*c^3*d^7 - 45*a*b^8*c^2*d^8 + 10*a^2*b^7*c*d^9 - a^3*b^6*d^10)*x^7 + 420*(210*b^9*c^4*d^6 - 120*a*b^8*c^3*d^7 + 45*a^2*b^7*c^2*d^8 - 10*a^3*b^6*c*d^9 + a^4*b^5*d^10)*x^6 + 504*(252*b^9*c^5*d^5 - 210*a*b^8*c^4*d^6 + 120*a^2*b^7*c^3*d^7 - 45*a^3*b^6*c^2*d^8 + 10*a^4*b^5*c*d^9 - a^5*b^4*d^10)*x^5 + 630*(210*b^9*c^6*d^4 - 252*a*b^8*c^5*d^5 + 210*a^2*b^7*c^4*d^6 - 120*a^3*b^6*c^3*d^7 + 45*a^4*b^5*c^2*d^8 - 10*a^5*b^4*c*d^9 + a^6*b^3*d^10)*x^4 + 840*(120*b^9*c^7*d^3 - 210*a*b^8*c^6*d^4 + 252*a^2*b^7*c^5*d^5 - 210*a^3*b^6*c^4*d^6 + 120*a^4*b^5*c^3*d^7 - 45*a^5*b^4*c^2*d^8 + 10*a^6*b^3*c*d^9 - a^7*b^2*d^10)*x^3 + 1260*(45*b^9*c^8*d^2 - 120*a*b^8*c^7*d^3 + 210*a^2*b^7*c^6*d^4 - 252*a^3*b^6*c^5*d^5 + 210*a^4*b^5*c^4*d^6 - 120*a^5*b^4*c^3*d^7 + 45*a^6*b^3*c^2*d^8 - 10*a^7*b^2*c*d^9 + a^8*b*d^10)*x^2 + 2520*(10*b^9*c^9*d - 45*a*b^8*c^8*d^2 + 120*a^2*b^7*c^7*d^3 - 210*a^3*b^6*c^6*d^4 + 252*a^4*b^5*c^5*d^5 - 210*a^5*b^4*c^4*d^6 + 120*a^6*b^3*c^3*d^7 - 45*a^7*b^2*c^2*d^8 + 10*a^8*b*c*d^9 - a^9*d^10)*x)/b^10 + (b^10*c^10 - 10*a*b^9*c^9*d + 45*a^2*b^8*c^8*d^2 - 120*a^3*b^7*c^7*d^3 + 210*a^4*b^6*c^6*d^4 - 252*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 - 120*a^7*b^3*c^3*d^7 + 45*a^8*b^2*c^2*d^8 - 10*a^9*b*c*d^9 + a^10*d^10)*log(b*x + a)/b^11","B",0
1313,1,874,0,1.394854," ","integrate((d*x+c)^10/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{b^{10} c^{10} - 10 \, a b^{9} c^{9} d + 45 \, a^{2} b^{8} c^{8} d^{2} - 120 \, a^{3} b^{7} c^{7} d^{3} + 210 \, a^{4} b^{6} c^{6} d^{4} - 252 \, a^{5} b^{5} c^{5} d^{5} + 210 \, a^{6} b^{4} c^{4} d^{6} - 120 \, a^{7} b^{3} c^{3} d^{7} + 45 \, a^{8} b^{2} c^{2} d^{8} - 10 \, a^{9} b c d^{9} + a^{10} d^{10}}{b^{12} x + a b^{11}} + \frac{28 \, b^{8} d^{10} x^{9} + 63 \, {\left(5 \, b^{8} c d^{9} - a b^{7} d^{10}\right)} x^{8} + 36 \, {\left(45 \, b^{8} c^{2} d^{8} - 20 \, a b^{7} c d^{9} + 3 \, a^{2} b^{6} d^{10}\right)} x^{7} + 84 \, {\left(60 \, b^{8} c^{3} d^{7} - 45 \, a b^{7} c^{2} d^{8} + 15 \, a^{2} b^{6} c d^{9} - 2 \, a^{3} b^{5} d^{10}\right)} x^{6} + 252 \, {\left(42 \, b^{8} c^{4} d^{6} - 48 \, a b^{7} c^{3} d^{7} + 27 \, a^{2} b^{6} c^{2} d^{8} - 8 \, a^{3} b^{5} c d^{9} + a^{4} b^{4} d^{10}\right)} x^{5} + 126 \, {\left(126 \, b^{8} c^{5} d^{5} - 210 \, a b^{7} c^{4} d^{6} + 180 \, a^{2} b^{6} c^{3} d^{7} - 90 \, a^{3} b^{5} c^{2} d^{8} + 25 \, a^{4} b^{4} c d^{9} - 3 \, a^{5} b^{3} d^{10}\right)} x^{4} + 84 \, {\left(210 \, b^{8} c^{6} d^{4} - 504 \, a b^{7} c^{5} d^{5} + 630 \, a^{2} b^{6} c^{4} d^{6} - 480 \, a^{3} b^{5} c^{3} d^{7} + 225 \, a^{4} b^{4} c^{2} d^{8} - 60 \, a^{5} b^{3} c d^{9} + 7 \, a^{6} b^{2} d^{10}\right)} x^{3} + 252 \, {\left(60 \, b^{8} c^{7} d^{3} - 210 \, a b^{7} c^{6} d^{4} + 378 \, a^{2} b^{6} c^{5} d^{5} - 420 \, a^{3} b^{5} c^{4} d^{6} + 300 \, a^{4} b^{4} c^{3} d^{7} - 135 \, a^{5} b^{3} c^{2} d^{8} + 35 \, a^{6} b^{2} c d^{9} - 4 \, a^{7} b d^{10}\right)} x^{2} + 252 \, {\left(45 \, b^{8} c^{8} d^{2} - 240 \, a b^{7} c^{7} d^{3} + 630 \, a^{2} b^{6} c^{6} d^{4} - 1008 \, a^{3} b^{5} c^{5} d^{5} + 1050 \, a^{4} b^{4} c^{4} d^{6} - 720 \, a^{5} b^{3} c^{3} d^{7} + 315 \, a^{6} b^{2} c^{2} d^{8} - 80 \, a^{7} b c d^{9} + 9 \, a^{8} d^{10}\right)} x}{252 \, b^{10}} + \frac{10 \, {\left(b^{9} c^{9} d - 9 \, a b^{8} c^{8} d^{2} + 36 \, a^{2} b^{7} c^{7} d^{3} - 84 \, a^{3} b^{6} c^{6} d^{4} + 126 \, a^{4} b^{5} c^{5} d^{5} - 126 \, a^{5} b^{4} c^{4} d^{6} + 84 \, a^{6} b^{3} c^{3} d^{7} - 36 \, a^{7} b^{2} c^{2} d^{8} + 9 \, a^{8} b c d^{9} - a^{9} d^{10}\right)} \log\left(b x + a\right)}{b^{11}}"," ",0,"-(b^10*c^10 - 10*a*b^9*c^9*d + 45*a^2*b^8*c^8*d^2 - 120*a^3*b^7*c^7*d^3 + 210*a^4*b^6*c^6*d^4 - 252*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 - 120*a^7*b^3*c^3*d^7 + 45*a^8*b^2*c^2*d^8 - 10*a^9*b*c*d^9 + a^10*d^10)/(b^12*x + a*b^11) + 1/252*(28*b^8*d^10*x^9 + 63*(5*b^8*c*d^9 - a*b^7*d^10)*x^8 + 36*(45*b^8*c^2*d^8 - 20*a*b^7*c*d^9 + 3*a^2*b^6*d^10)*x^7 + 84*(60*b^8*c^3*d^7 - 45*a*b^7*c^2*d^8 + 15*a^2*b^6*c*d^9 - 2*a^3*b^5*d^10)*x^6 + 252*(42*b^8*c^4*d^6 - 48*a*b^7*c^3*d^7 + 27*a^2*b^6*c^2*d^8 - 8*a^3*b^5*c*d^9 + a^4*b^4*d^10)*x^5 + 126*(126*b^8*c^5*d^5 - 210*a*b^7*c^4*d^6 + 180*a^2*b^6*c^3*d^7 - 90*a^3*b^5*c^2*d^8 + 25*a^4*b^4*c*d^9 - 3*a^5*b^3*d^10)*x^4 + 84*(210*b^8*c^6*d^4 - 504*a*b^7*c^5*d^5 + 630*a^2*b^6*c^4*d^6 - 480*a^3*b^5*c^3*d^7 + 225*a^4*b^4*c^2*d^8 - 60*a^5*b^3*c*d^9 + 7*a^6*b^2*d^10)*x^3 + 252*(60*b^8*c^7*d^3 - 210*a*b^7*c^6*d^4 + 378*a^2*b^6*c^5*d^5 - 420*a^3*b^5*c^4*d^6 + 300*a^4*b^4*c^3*d^7 - 135*a^5*b^3*c^2*d^8 + 35*a^6*b^2*c*d^9 - 4*a^7*b*d^10)*x^2 + 252*(45*b^8*c^8*d^2 - 240*a*b^7*c^7*d^3 + 630*a^2*b^6*c^6*d^4 - 1008*a^3*b^5*c^5*d^5 + 1050*a^4*b^4*c^4*d^6 - 720*a^5*b^3*c^3*d^7 + 315*a^6*b^2*c^2*d^8 - 80*a^7*b*c*d^9 + 9*a^8*d^10)*x)/b^10 + 10*(b^9*c^9*d - 9*a*b^8*c^8*d^2 + 36*a^2*b^7*c^7*d^3 - 84*a^3*b^6*c^6*d^4 + 126*a^4*b^5*c^5*d^5 - 126*a^5*b^4*c^4*d^6 + 84*a^6*b^3*c^3*d^7 - 36*a^7*b^2*c^2*d^8 + 9*a^8*b*c*d^9 - a^9*d^10)*log(b*x + a)/b^11","B",0
1314,1,881,0,1.620895," ","integrate((d*x+c)^10/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{b^{10} c^{10} + 10 \, a b^{9} c^{9} d - 135 \, a^{2} b^{8} c^{8} d^{2} + 600 \, a^{3} b^{7} c^{7} d^{3} - 1470 \, a^{4} b^{6} c^{6} d^{4} + 2268 \, a^{5} b^{5} c^{5} d^{5} - 2310 \, a^{6} b^{4} c^{4} d^{6} + 1560 \, a^{7} b^{3} c^{3} d^{7} - 675 \, a^{8} b^{2} c^{2} d^{8} + 170 \, a^{9} b c d^{9} - 19 \, a^{10} d^{10} + 20 \, {\left(b^{10} c^{9} d - 9 \, a b^{9} c^{8} d^{2} + 36 \, a^{2} b^{8} c^{7} d^{3} - 84 \, a^{3} b^{7} c^{6} d^{4} + 126 \, a^{4} b^{6} c^{5} d^{5} - 126 \, a^{5} b^{5} c^{4} d^{6} + 84 \, a^{6} b^{4} c^{3} d^{7} - 36 \, a^{7} b^{3} c^{2} d^{8} + 9 \, a^{8} b^{2} c d^{9} - a^{9} b d^{10}\right)} x}{2 \, {\left(b^{13} x^{2} + 2 \, a b^{12} x + a^{2} b^{11}\right)}} + \frac{7 \, b^{7} d^{10} x^{8} + 8 \, {\left(10 \, b^{7} c d^{9} - 3 \, a b^{6} d^{10}\right)} x^{7} + 28 \, {\left(15 \, b^{7} c^{2} d^{8} - 10 \, a b^{6} c d^{9} + 2 \, a^{2} b^{5} d^{10}\right)} x^{6} + 56 \, {\left(24 \, b^{7} c^{3} d^{7} - 27 \, a b^{6} c^{2} d^{8} + 12 \, a^{2} b^{5} c d^{9} - 2 \, a^{3} b^{4} d^{10}\right)} x^{5} + 70 \, {\left(42 \, b^{7} c^{4} d^{6} - 72 \, a b^{6} c^{3} d^{7} + 54 \, a^{2} b^{5} c^{2} d^{8} - 20 \, a^{3} b^{4} c d^{9} + 3 \, a^{4} b^{3} d^{10}\right)} x^{4} + 56 \, {\left(84 \, b^{7} c^{5} d^{5} - 210 \, a b^{6} c^{4} d^{6} + 240 \, a^{2} b^{5} c^{3} d^{7} - 150 \, a^{3} b^{4} c^{2} d^{8} + 50 \, a^{4} b^{3} c d^{9} - 7 \, a^{5} b^{2} d^{10}\right)} x^{3} + 28 \, {\left(210 \, b^{7} c^{6} d^{4} - 756 \, a b^{6} c^{5} d^{5} + 1260 \, a^{2} b^{5} c^{4} d^{6} - 1200 \, a^{3} b^{4} c^{3} d^{7} + 675 \, a^{4} b^{3} c^{2} d^{8} - 210 \, a^{5} b^{2} c d^{9} + 28 \, a^{6} b d^{10}\right)} x^{2} + 56 \, {\left(120 \, b^{7} c^{7} d^{3} - 630 \, a b^{6} c^{6} d^{4} + 1512 \, a^{2} b^{5} c^{5} d^{5} - 2100 \, a^{3} b^{4} c^{4} d^{6} + 1800 \, a^{4} b^{3} c^{3} d^{7} - 945 \, a^{5} b^{2} c^{2} d^{8} + 280 \, a^{6} b c d^{9} - 36 \, a^{7} d^{10}\right)} x}{56 \, b^{10}} + \frac{45 \, {\left(b^{8} c^{8} d^{2} - 8 \, a b^{7} c^{7} d^{3} + 28 \, a^{2} b^{6} c^{6} d^{4} - 56 \, a^{3} b^{5} c^{5} d^{5} + 70 \, a^{4} b^{4} c^{4} d^{6} - 56 \, a^{5} b^{3} c^{3} d^{7} + 28 \, a^{6} b^{2} c^{2} d^{8} - 8 \, a^{7} b c d^{9} + a^{8} d^{10}\right)} \log\left(b x + a\right)}{b^{11}}"," ",0,"-1/2*(b^10*c^10 + 10*a*b^9*c^9*d - 135*a^2*b^8*c^8*d^2 + 600*a^3*b^7*c^7*d^3 - 1470*a^4*b^6*c^6*d^4 + 2268*a^5*b^5*c^5*d^5 - 2310*a^6*b^4*c^4*d^6 + 1560*a^7*b^3*c^3*d^7 - 675*a^8*b^2*c^2*d^8 + 170*a^9*b*c*d^9 - 19*a^10*d^10 + 20*(b^10*c^9*d - 9*a*b^9*c^8*d^2 + 36*a^2*b^8*c^7*d^3 - 84*a^3*b^7*c^6*d^4 + 126*a^4*b^6*c^5*d^5 - 126*a^5*b^5*c^4*d^6 + 84*a^6*b^4*c^3*d^7 - 36*a^7*b^3*c^2*d^8 + 9*a^8*b^2*c*d^9 - a^9*b*d^10)*x)/(b^13*x^2 + 2*a*b^12*x + a^2*b^11) + 1/56*(7*b^7*d^10*x^8 + 8*(10*b^7*c*d^9 - 3*a*b^6*d^10)*x^7 + 28*(15*b^7*c^2*d^8 - 10*a*b^6*c*d^9 + 2*a^2*b^5*d^10)*x^6 + 56*(24*b^7*c^3*d^7 - 27*a*b^6*c^2*d^8 + 12*a^2*b^5*c*d^9 - 2*a^3*b^4*d^10)*x^5 + 70*(42*b^7*c^4*d^6 - 72*a*b^6*c^3*d^7 + 54*a^2*b^5*c^2*d^8 - 20*a^3*b^4*c*d^9 + 3*a^4*b^3*d^10)*x^4 + 56*(84*b^7*c^5*d^5 - 210*a*b^6*c^4*d^6 + 240*a^2*b^5*c^3*d^7 - 150*a^3*b^4*c^2*d^8 + 50*a^4*b^3*c*d^9 - 7*a^5*b^2*d^10)*x^3 + 28*(210*b^7*c^6*d^4 - 756*a*b^6*c^5*d^5 + 1260*a^2*b^5*c^4*d^6 - 1200*a^3*b^4*c^3*d^7 + 675*a^4*b^3*c^2*d^8 - 210*a^5*b^2*c*d^9 + 28*a^6*b*d^10)*x^2 + 56*(120*b^7*c^7*d^3 - 630*a*b^6*c^6*d^4 + 1512*a^2*b^5*c^5*d^5 - 2100*a^3*b^4*c^4*d^6 + 1800*a^4*b^3*c^3*d^7 - 945*a^5*b^2*c^2*d^8 + 280*a^6*b*c*d^9 - 36*a^7*d^10)*x)/b^10 + 45*(b^8*c^8*d^2 - 8*a*b^7*c^7*d^3 + 28*a^2*b^6*c^6*d^4 - 56*a^3*b^5*c^5*d^5 + 70*a^4*b^4*c^4*d^6 - 56*a^5*b^3*c^3*d^7 + 28*a^6*b^2*c^2*d^8 - 8*a^7*b*c*d^9 + a^8*d^10)*log(b*x + a)/b^11","B",0
1315,1,891,0,1.729865," ","integrate((d*x+c)^10/(b*x+a)^4,x, algorithm=""maxima"")","-\frac{b^{10} c^{10} + 5 \, a b^{9} c^{9} d + 45 \, a^{2} b^{8} c^{8} d^{2} - 660 \, a^{3} b^{7} c^{7} d^{3} + 2730 \, a^{4} b^{6} c^{6} d^{4} - 5922 \, a^{5} b^{5} c^{5} d^{5} + 7770 \, a^{6} b^{4} c^{4} d^{6} - 6420 \, a^{7} b^{3} c^{3} d^{7} + 3285 \, a^{8} b^{2} c^{2} d^{8} - 955 \, a^{9} b c d^{9} + 121 \, a^{10} d^{10} + 135 \, {\left(b^{10} c^{8} d^{2} - 8 \, a b^{9} c^{7} d^{3} + 28 \, a^{2} b^{8} c^{6} d^{4} - 56 \, a^{3} b^{7} c^{5} d^{5} + 70 \, a^{4} b^{6} c^{4} d^{6} - 56 \, a^{5} b^{5} c^{3} d^{7} + 28 \, a^{6} b^{4} c^{2} d^{8} - 8 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 15 \, {\left(b^{10} c^{9} d + 9 \, a b^{9} c^{8} d^{2} - 108 \, a^{2} b^{8} c^{7} d^{3} + 420 \, a^{3} b^{7} c^{6} d^{4} - 882 \, a^{4} b^{6} c^{5} d^{5} + 1134 \, a^{5} b^{5} c^{4} d^{6} - 924 \, a^{6} b^{4} c^{3} d^{7} + 468 \, a^{7} b^{3} c^{2} d^{8} - 135 \, a^{8} b^{2} c d^{9} + 17 \, a^{9} b d^{10}\right)} x}{3 \, {\left(b^{14} x^{3} + 3 \, a b^{13} x^{2} + 3 \, a^{2} b^{12} x + a^{3} b^{11}\right)}} + \frac{3 \, b^{6} d^{10} x^{7} + 7 \, {\left(5 \, b^{6} c d^{9} - 2 \, a b^{5} d^{10}\right)} x^{6} + 21 \, {\left(9 \, b^{6} c^{2} d^{8} - 8 \, a b^{5} c d^{9} + 2 \, a^{2} b^{4} d^{10}\right)} x^{5} + 105 \, {\left(6 \, b^{6} c^{3} d^{7} - 9 \, a b^{5} c^{2} d^{8} + 5 \, a^{2} b^{4} c d^{9} - a^{3} b^{3} d^{10}\right)} x^{4} + 35 \, {\left(42 \, b^{6} c^{4} d^{6} - 96 \, a b^{5} c^{3} d^{7} + 90 \, a^{2} b^{4} c^{2} d^{8} - 40 \, a^{3} b^{3} c d^{9} + 7 \, a^{4} b^{2} d^{10}\right)} x^{3} + 21 \, {\left(126 \, b^{6} c^{5} d^{5} - 420 \, a b^{5} c^{4} d^{6} + 600 \, a^{2} b^{4} c^{3} d^{7} - 450 \, a^{3} b^{3} c^{2} d^{8} + 175 \, a^{4} b^{2} c d^{9} - 28 \, a^{5} b d^{10}\right)} x^{2} + 21 \, {\left(210 \, b^{6} c^{6} d^{4} - 1008 \, a b^{5} c^{5} d^{5} + 2100 \, a^{2} b^{4} c^{4} d^{6} - 2400 \, a^{3} b^{3} c^{3} d^{7} + 1575 \, a^{4} b^{2} c^{2} d^{8} - 560 \, a^{5} b c d^{9} + 84 \, a^{6} d^{10}\right)} x}{21 \, b^{10}} + \frac{120 \, {\left(b^{7} c^{7} d^{3} - 7 \, a b^{6} c^{6} d^{4} + 21 \, a^{2} b^{5} c^{5} d^{5} - 35 \, a^{3} b^{4} c^{4} d^{6} + 35 \, a^{4} b^{3} c^{3} d^{7} - 21 \, a^{5} b^{2} c^{2} d^{8} + 7 \, a^{6} b c d^{9} - a^{7} d^{10}\right)} \log\left(b x + a\right)}{b^{11}}"," ",0,"-1/3*(b^10*c^10 + 5*a*b^9*c^9*d + 45*a^2*b^8*c^8*d^2 - 660*a^3*b^7*c^7*d^3 + 2730*a^4*b^6*c^6*d^4 - 5922*a^5*b^5*c^5*d^5 + 7770*a^6*b^4*c^4*d^6 - 6420*a^7*b^3*c^3*d^7 + 3285*a^8*b^2*c^2*d^8 - 955*a^9*b*c*d^9 + 121*a^10*d^10 + 135*(b^10*c^8*d^2 - 8*a*b^9*c^7*d^3 + 28*a^2*b^8*c^6*d^4 - 56*a^3*b^7*c^5*d^5 + 70*a^4*b^6*c^4*d^6 - 56*a^5*b^5*c^3*d^7 + 28*a^6*b^4*c^2*d^8 - 8*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 15*(b^10*c^9*d + 9*a*b^9*c^8*d^2 - 108*a^2*b^8*c^7*d^3 + 420*a^3*b^7*c^6*d^4 - 882*a^4*b^6*c^5*d^5 + 1134*a^5*b^5*c^4*d^6 - 924*a^6*b^4*c^3*d^7 + 468*a^7*b^3*c^2*d^8 - 135*a^8*b^2*c*d^9 + 17*a^9*b*d^10)*x)/(b^14*x^3 + 3*a*b^13*x^2 + 3*a^2*b^12*x + a^3*b^11) + 1/21*(3*b^6*d^10*x^7 + 7*(5*b^6*c*d^9 - 2*a*b^5*d^10)*x^6 + 21*(9*b^6*c^2*d^8 - 8*a*b^5*c*d^9 + 2*a^2*b^4*d^10)*x^5 + 105*(6*b^6*c^3*d^7 - 9*a*b^5*c^2*d^8 + 5*a^2*b^4*c*d^9 - a^3*b^3*d^10)*x^4 + 35*(42*b^6*c^4*d^6 - 96*a*b^5*c^3*d^7 + 90*a^2*b^4*c^2*d^8 - 40*a^3*b^3*c*d^9 + 7*a^4*b^2*d^10)*x^3 + 21*(126*b^6*c^5*d^5 - 420*a*b^5*c^4*d^6 + 600*a^2*b^4*c^3*d^7 - 450*a^3*b^3*c^2*d^8 + 175*a^4*b^2*c*d^9 - 28*a^5*b*d^10)*x^2 + 21*(210*b^6*c^6*d^4 - 1008*a*b^5*c^5*d^5 + 2100*a^2*b^4*c^4*d^6 - 2400*a^3*b^3*c^3*d^7 + 1575*a^4*b^2*c^2*d^8 - 560*a^5*b*c*d^9 + 84*a^6*d^10)*x)/b^10 + 120*(b^7*c^7*d^3 - 7*a*b^6*c^6*d^4 + 21*a^2*b^5*c^5*d^5 - 35*a^3*b^4*c^4*d^6 + 35*a^4*b^3*c^3*d^7 - 21*a^5*b^2*c^2*d^8 + 7*a^6*b*c*d^9 - a^7*d^10)*log(b*x + a)/b^11","B",0
1316,1,903,0,1.932079," ","integrate((d*x+c)^10/(b*x+a)^5,x, algorithm=""maxima"")","-\frac{3 \, b^{10} c^{10} + 10 \, a b^{9} c^{9} d + 45 \, a^{2} b^{8} c^{8} d^{2} + 360 \, a^{3} b^{7} c^{7} d^{3} - 5250 \, a^{4} b^{6} c^{6} d^{4} + 19404 \, a^{5} b^{5} c^{5} d^{5} - 35910 \, a^{6} b^{4} c^{4} d^{6} + 38280 \, a^{7} b^{3} c^{3} d^{7} - 23985 \, a^{8} b^{2} c^{2} d^{8} + 8250 \, a^{9} b c d^{9} - 1207 \, a^{10} d^{10} + 1440 \, {\left(b^{10} c^{7} d^{3} - 7 \, a b^{9} c^{6} d^{4} + 21 \, a^{2} b^{8} c^{5} d^{5} - 35 \, a^{3} b^{7} c^{4} d^{6} + 35 \, a^{4} b^{6} c^{3} d^{7} - 21 \, a^{5} b^{5} c^{2} d^{8} + 7 \, a^{6} b^{4} c d^{9} - a^{7} b^{3} d^{10}\right)} x^{3} + 270 \, {\left(b^{10} c^{8} d^{2} + 8 \, a b^{9} c^{7} d^{3} - 84 \, a^{2} b^{8} c^{6} d^{4} + 280 \, a^{3} b^{7} c^{5} d^{5} - 490 \, a^{4} b^{6} c^{4} d^{6} + 504 \, a^{5} b^{5} c^{3} d^{7} - 308 \, a^{6} b^{4} c^{2} d^{8} + 104 \, a^{7} b^{3} c d^{9} - 15 \, a^{8} b^{2} d^{10}\right)} x^{2} + 20 \, {\left(2 \, b^{10} c^{9} d + 9 \, a b^{9} c^{8} d^{2} + 72 \, a^{2} b^{8} c^{7} d^{3} - 924 \, a^{3} b^{7} c^{6} d^{4} + 3276 \, a^{4} b^{6} c^{5} d^{5} - 5922 \, a^{5} b^{5} c^{4} d^{6} + 6216 \, a^{6} b^{4} c^{3} d^{7} - 3852 \, a^{7} b^{3} c^{2} d^{8} + 1314 \, a^{8} b^{2} c d^{9} - 191 \, a^{9} b d^{10}\right)} x}{12 \, {\left(b^{15} x^{4} + 4 \, a b^{14} x^{3} + 6 \, a^{2} b^{13} x^{2} + 4 \, a^{3} b^{12} x + a^{4} b^{11}\right)}} + \frac{2 \, b^{5} d^{10} x^{6} + 12 \, {\left(2 \, b^{5} c d^{9} - a b^{4} d^{10}\right)} x^{5} + 15 \, {\left(9 \, b^{5} c^{2} d^{8} - 10 \, a b^{4} c d^{9} + 3 \, a^{2} b^{3} d^{10}\right)} x^{4} + 20 \, {\left(24 \, b^{5} c^{3} d^{7} - 45 \, a b^{4} c^{2} d^{8} + 30 \, a^{2} b^{3} c d^{9} - 7 \, a^{3} b^{2} d^{10}\right)} x^{3} + 30 \, {\left(42 \, b^{5} c^{4} d^{6} - 120 \, a b^{4} c^{3} d^{7} + 135 \, a^{2} b^{3} c^{2} d^{8} - 70 \, a^{3} b^{2} c d^{9} + 14 \, a^{4} b d^{10}\right)} x^{2} + 12 \, {\left(252 \, b^{5} c^{5} d^{5} - 1050 \, a b^{4} c^{4} d^{6} + 1800 \, a^{2} b^{3} c^{3} d^{7} - 1575 \, a^{3} b^{2} c^{2} d^{8} + 700 \, a^{4} b c d^{9} - 126 \, a^{5} d^{10}\right)} x}{12 \, b^{10}} + \frac{210 \, {\left(b^{6} c^{6} d^{4} - 6 \, a b^{5} c^{5} d^{5} + 15 \, a^{2} b^{4} c^{4} d^{6} - 20 \, a^{3} b^{3} c^{3} d^{7} + 15 \, a^{4} b^{2} c^{2} d^{8} - 6 \, a^{5} b c d^{9} + a^{6} d^{10}\right)} \log\left(b x + a\right)}{b^{11}}"," ",0,"-1/12*(3*b^10*c^10 + 10*a*b^9*c^9*d + 45*a^2*b^8*c^8*d^2 + 360*a^3*b^7*c^7*d^3 - 5250*a^4*b^6*c^6*d^4 + 19404*a^5*b^5*c^5*d^5 - 35910*a^6*b^4*c^4*d^6 + 38280*a^7*b^3*c^3*d^7 - 23985*a^8*b^2*c^2*d^8 + 8250*a^9*b*c*d^9 - 1207*a^10*d^10 + 1440*(b^10*c^7*d^3 - 7*a*b^9*c^6*d^4 + 21*a^2*b^8*c^5*d^5 - 35*a^3*b^7*c^4*d^6 + 35*a^4*b^6*c^3*d^7 - 21*a^5*b^5*c^2*d^8 + 7*a^6*b^4*c*d^9 - a^7*b^3*d^10)*x^3 + 270*(b^10*c^8*d^2 + 8*a*b^9*c^7*d^3 - 84*a^2*b^8*c^6*d^4 + 280*a^3*b^7*c^5*d^5 - 490*a^4*b^6*c^4*d^6 + 504*a^5*b^5*c^3*d^7 - 308*a^6*b^4*c^2*d^8 + 104*a^7*b^3*c*d^9 - 15*a^8*b^2*d^10)*x^2 + 20*(2*b^10*c^9*d + 9*a*b^9*c^8*d^2 + 72*a^2*b^8*c^7*d^3 - 924*a^3*b^7*c^6*d^4 + 3276*a^4*b^6*c^5*d^5 - 5922*a^5*b^5*c^4*d^6 + 6216*a^6*b^4*c^3*d^7 - 3852*a^7*b^3*c^2*d^8 + 1314*a^8*b^2*c*d^9 - 191*a^9*b*d^10)*x)/(b^15*x^4 + 4*a*b^14*x^3 + 6*a^2*b^13*x^2 + 4*a^3*b^12*x + a^4*b^11) + 1/12*(2*b^5*d^10*x^6 + 12*(2*b^5*c*d^9 - a*b^4*d^10)*x^5 + 15*(9*b^5*c^2*d^8 - 10*a*b^4*c*d^9 + 3*a^2*b^3*d^10)*x^4 + 20*(24*b^5*c^3*d^7 - 45*a*b^4*c^2*d^8 + 30*a^2*b^3*c*d^9 - 7*a^3*b^2*d^10)*x^3 + 30*(42*b^5*c^4*d^6 - 120*a*b^4*c^3*d^7 + 135*a^2*b^3*c^2*d^8 - 70*a^3*b^2*c*d^9 + 14*a^4*b*d^10)*x^2 + 12*(252*b^5*c^5*d^5 - 1050*a*b^4*c^4*d^6 + 1800*a^2*b^3*c^3*d^7 - 1575*a^3*b^2*c^2*d^8 + 700*a^4*b*c*d^9 - 126*a^5*d^10)*x)/b^10 + 210*(b^6*c^6*d^4 - 6*a*b^5*c^5*d^5 + 15*a^2*b^4*c^4*d^6 - 20*a^3*b^3*c^3*d^7 + 15*a^4*b^2*c^2*d^8 - 6*a^5*b*c*d^9 + a^6*d^10)*log(b*x + a)/b^11","B",0
1317,1,912,0,2.252578," ","integrate((d*x+c)^10/(b*x+a)^6,x, algorithm=""maxima"")","-\frac{2 \, b^{10} c^{10} + 5 \, a b^{9} c^{9} d + 15 \, a^{2} b^{8} c^{8} d^{2} + 60 \, a^{3} b^{7} c^{7} d^{3} + 420 \, a^{4} b^{6} c^{6} d^{4} - 5754 \, a^{5} b^{5} c^{5} d^{5} + 18270 \, a^{6} b^{4} c^{4} d^{6} - 27540 \, a^{7} b^{3} c^{3} d^{7} + 22290 \, a^{8} b^{2} c^{2} d^{8} - 9395 \, a^{9} b c d^{9} + 1627 \, a^{10} d^{10} + 2100 \, {\left(b^{10} c^{6} d^{4} - 6 \, a b^{9} c^{5} d^{5} + 15 \, a^{2} b^{8} c^{4} d^{6} - 20 \, a^{3} b^{7} c^{3} d^{7} + 15 \, a^{4} b^{6} c^{2} d^{8} - 6 \, a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 600 \, {\left(b^{10} c^{7} d^{3} + 7 \, a b^{9} c^{6} d^{4} - 63 \, a^{2} b^{8} c^{5} d^{5} + 175 \, a^{3} b^{7} c^{4} d^{6} - 245 \, a^{4} b^{6} c^{3} d^{7} + 189 \, a^{5} b^{5} c^{2} d^{8} - 77 \, a^{6} b^{4} c d^{9} + 13 \, a^{7} b^{3} d^{10}\right)} x^{3} + 150 \, {\left(b^{10} c^{8} d^{2} + 4 \, a b^{9} c^{7} d^{3} + 28 \, a^{2} b^{8} c^{6} d^{4} - 308 \, a^{3} b^{7} c^{5} d^{5} + 910 \, a^{4} b^{6} c^{4} d^{6} - 1316 \, a^{5} b^{5} c^{3} d^{7} + 1036 \, a^{6} b^{4} c^{2} d^{8} - 428 \, a^{7} b^{3} c d^{9} + 73 \, a^{8} b^{2} d^{10}\right)} x^{2} + 25 \, {\left(b^{10} c^{9} d + 3 \, a b^{9} c^{8} d^{2} + 12 \, a^{2} b^{8} c^{7} d^{3} + 84 \, a^{3} b^{7} c^{6} d^{4} - 1050 \, a^{4} b^{6} c^{5} d^{5} + 3234 \, a^{5} b^{5} c^{4} d^{6} - 4788 \, a^{6} b^{4} c^{3} d^{7} + 3828 \, a^{7} b^{3} c^{2} d^{8} - 1599 \, a^{8} b^{2} c d^{9} + 275 \, a^{9} b d^{10}\right)} x}{10 \, {\left(b^{16} x^{5} + 5 \, a b^{15} x^{4} + 10 \, a^{2} b^{14} x^{3} + 10 \, a^{3} b^{13} x^{2} + 5 \, a^{4} b^{12} x + a^{5} b^{11}\right)}} + \frac{2 \, b^{4} d^{10} x^{5} + 5 \, {\left(5 \, b^{4} c d^{9} - 3 \, a b^{3} d^{10}\right)} x^{4} + 10 \, {\left(15 \, b^{4} c^{2} d^{8} - 20 \, a b^{3} c d^{9} + 7 \, a^{2} b^{2} d^{10}\right)} x^{3} + 10 \, {\left(60 \, b^{4} c^{3} d^{7} - 135 \, a b^{3} c^{2} d^{8} + 105 \, a^{2} b^{2} c d^{9} - 28 \, a^{3} b d^{10}\right)} x^{2} + 10 \, {\left(210 \, b^{4} c^{4} d^{6} - 720 \, a b^{3} c^{3} d^{7} + 945 \, a^{2} b^{2} c^{2} d^{8} - 560 \, a^{3} b c d^{9} + 126 \, a^{4} d^{10}\right)} x}{10 \, b^{10}} + \frac{252 \, {\left(b^{5} c^{5} d^{5} - 5 \, a b^{4} c^{4} d^{6} + 10 \, a^{2} b^{3} c^{3} d^{7} - 10 \, a^{3} b^{2} c^{2} d^{8} + 5 \, a^{4} b c d^{9} - a^{5} d^{10}\right)} \log\left(b x + a\right)}{b^{11}}"," ",0,"-1/10*(2*b^10*c^10 + 5*a*b^9*c^9*d + 15*a^2*b^8*c^8*d^2 + 60*a^3*b^7*c^7*d^3 + 420*a^4*b^6*c^6*d^4 - 5754*a^5*b^5*c^5*d^5 + 18270*a^6*b^4*c^4*d^6 - 27540*a^7*b^3*c^3*d^7 + 22290*a^8*b^2*c^2*d^8 - 9395*a^9*b*c*d^9 + 1627*a^10*d^10 + 2100*(b^10*c^6*d^4 - 6*a*b^9*c^5*d^5 + 15*a^2*b^8*c^4*d^6 - 20*a^3*b^7*c^3*d^7 + 15*a^4*b^6*c^2*d^8 - 6*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 600*(b^10*c^7*d^3 + 7*a*b^9*c^6*d^4 - 63*a^2*b^8*c^5*d^5 + 175*a^3*b^7*c^4*d^6 - 245*a^4*b^6*c^3*d^7 + 189*a^5*b^5*c^2*d^8 - 77*a^6*b^4*c*d^9 + 13*a^7*b^3*d^10)*x^3 + 150*(b^10*c^8*d^2 + 4*a*b^9*c^7*d^3 + 28*a^2*b^8*c^6*d^4 - 308*a^3*b^7*c^5*d^5 + 910*a^4*b^6*c^4*d^6 - 1316*a^5*b^5*c^3*d^7 + 1036*a^6*b^4*c^2*d^8 - 428*a^7*b^3*c*d^9 + 73*a^8*b^2*d^10)*x^2 + 25*(b^10*c^9*d + 3*a*b^9*c^8*d^2 + 12*a^2*b^8*c^7*d^3 + 84*a^3*b^7*c^6*d^4 - 1050*a^4*b^6*c^5*d^5 + 3234*a^5*b^5*c^4*d^6 - 4788*a^6*b^4*c^3*d^7 + 3828*a^7*b^3*c^2*d^8 - 1599*a^8*b^2*c*d^9 + 275*a^9*b*d^10)*x)/(b^16*x^5 + 5*a*b^15*x^4 + 10*a^2*b^14*x^3 + 10*a^3*b^13*x^2 + 5*a^4*b^12*x + a^5*b^11) + 1/10*(2*b^4*d^10*x^5 + 5*(5*b^4*c*d^9 - 3*a*b^3*d^10)*x^4 + 10*(15*b^4*c^2*d^8 - 20*a*b^3*c*d^9 + 7*a^2*b^2*d^10)*x^3 + 10*(60*b^4*c^3*d^7 - 135*a*b^3*c^2*d^8 + 105*a^2*b^2*c*d^9 - 28*a^3*b*d^10)*x^2 + 10*(210*b^4*c^4*d^6 - 720*a*b^3*c^3*d^7 + 945*a^2*b^2*c^2*d^8 - 560*a^3*b*c*d^9 + 126*a^4*d^10)*x)/b^10 + 252*(b^5*c^5*d^5 - 5*a*b^4*c^4*d^6 + 10*a^2*b^3*c^3*d^7 - 10*a^3*b^2*c^2*d^8 + 5*a^4*b*c*d^9 - a^5*d^10)*log(b*x + a)/b^11","B",0
1318,1,925,0,2.451221," ","integrate((d*x+c)^10/(b*x+a)^7,x, algorithm=""maxima"")","-\frac{2 \, b^{10} c^{10} + 4 \, a b^{9} c^{9} d + 9 \, a^{2} b^{8} c^{8} d^{2} + 24 \, a^{3} b^{7} c^{7} d^{3} + 84 \, a^{4} b^{6} c^{6} d^{4} + 504 \, a^{5} b^{5} c^{5} d^{5} - 6174 \, a^{6} b^{4} c^{4} d^{6} + 16056 \, a^{7} b^{3} c^{3} d^{7} - 18414 \, a^{8} b^{2} c^{2} d^{8} + 10036 \, a^{9} b c d^{9} - 2131 \, a^{10} d^{10} + 3024 \, {\left(b^{10} c^{5} d^{5} - 5 \, a b^{9} c^{4} d^{6} + 10 \, a^{2} b^{8} c^{3} d^{7} - 10 \, a^{3} b^{7} c^{2} d^{8} + 5 \, a^{4} b^{6} c d^{9} - a^{5} b^{5} d^{10}\right)} x^{5} + 1260 \, {\left(b^{10} c^{6} d^{4} + 6 \, a b^{9} c^{5} d^{5} - 45 \, a^{2} b^{8} c^{4} d^{6} + 100 \, a^{3} b^{7} c^{3} d^{7} - 105 \, a^{4} b^{6} c^{2} d^{8} + 54 \, a^{5} b^{5} c d^{9} - 11 \, a^{6} b^{4} d^{10}\right)} x^{4} + 240 \, {\left(2 \, b^{10} c^{7} d^{3} + 7 \, a b^{9} c^{6} d^{4} + 42 \, a^{2} b^{8} c^{5} d^{5} - 385 \, a^{3} b^{7} c^{4} d^{6} + 910 \, a^{4} b^{6} c^{3} d^{7} - 987 \, a^{5} b^{5} c^{2} d^{8} + 518 \, a^{6} b^{4} c d^{9} - 107 \, a^{7} b^{3} d^{10}\right)} x^{3} + 45 \, {\left(3 \, b^{10} c^{8} d^{2} + 8 \, a b^{9} c^{7} d^{3} + 28 \, a^{2} b^{8} c^{6} d^{4} + 168 \, a^{3} b^{7} c^{5} d^{5} - 1750 \, a^{4} b^{6} c^{4} d^{6} + 4312 \, a^{5} b^{5} c^{3} d^{7} - 4788 \, a^{6} b^{4} c^{2} d^{8} + 2552 \, a^{7} b^{3} c d^{9} - 533 \, a^{8} b^{2} d^{10}\right)} x^{2} + 6 \, {\left(4 \, b^{10} c^{9} d + 9 \, a b^{9} c^{8} d^{2} + 24 \, a^{2} b^{8} c^{7} d^{3} + 84 \, a^{3} b^{7} c^{6} d^{4} + 504 \, a^{4} b^{6} c^{5} d^{5} - 5754 \, a^{5} b^{5} c^{4} d^{6} + 14616 \, a^{6} b^{4} c^{3} d^{7} - 16524 \, a^{7} b^{3} c^{2} d^{8} + 8916 \, a^{8} b^{2} c d^{9} - 1879 \, a^{9} b d^{10}\right)} x}{12 \, {\left(b^{17} x^{6} + 6 \, a b^{16} x^{5} + 15 \, a^{2} b^{15} x^{4} + 20 \, a^{3} b^{14} x^{3} + 15 \, a^{4} b^{13} x^{2} + 6 \, a^{5} b^{12} x + a^{6} b^{11}\right)}} + \frac{3 \, b^{3} d^{10} x^{4} + 4 \, {\left(10 \, b^{3} c d^{9} - 7 \, a b^{2} d^{10}\right)} x^{3} + 6 \, {\left(45 \, b^{3} c^{2} d^{8} - 70 \, a b^{2} c d^{9} + 28 \, a^{2} b d^{10}\right)} x^{2} + 12 \, {\left(120 \, b^{3} c^{3} d^{7} - 315 \, a b^{2} c^{2} d^{8} + 280 \, a^{2} b c d^{9} - 84 \, a^{3} d^{10}\right)} x}{12 \, b^{10}} + \frac{210 \, {\left(b^{4} c^{4} d^{6} - 4 \, a b^{3} c^{3} d^{7} + 6 \, a^{2} b^{2} c^{2} d^{8} - 4 \, a^{3} b c d^{9} + a^{4} d^{10}\right)} \log\left(b x + a\right)}{b^{11}}"," ",0,"-1/12*(2*b^10*c^10 + 4*a*b^9*c^9*d + 9*a^2*b^8*c^8*d^2 + 24*a^3*b^7*c^7*d^3 + 84*a^4*b^6*c^6*d^4 + 504*a^5*b^5*c^5*d^5 - 6174*a^6*b^4*c^4*d^6 + 16056*a^7*b^3*c^3*d^7 - 18414*a^8*b^2*c^2*d^8 + 10036*a^9*b*c*d^9 - 2131*a^10*d^10 + 3024*(b^10*c^5*d^5 - 5*a*b^9*c^4*d^6 + 10*a^2*b^8*c^3*d^7 - 10*a^3*b^7*c^2*d^8 + 5*a^4*b^6*c*d^9 - a^5*b^5*d^10)*x^5 + 1260*(b^10*c^6*d^4 + 6*a*b^9*c^5*d^5 - 45*a^2*b^8*c^4*d^6 + 100*a^3*b^7*c^3*d^7 - 105*a^4*b^6*c^2*d^8 + 54*a^5*b^5*c*d^9 - 11*a^6*b^4*d^10)*x^4 + 240*(2*b^10*c^7*d^3 + 7*a*b^9*c^6*d^4 + 42*a^2*b^8*c^5*d^5 - 385*a^3*b^7*c^4*d^6 + 910*a^4*b^6*c^3*d^7 - 987*a^5*b^5*c^2*d^8 + 518*a^6*b^4*c*d^9 - 107*a^7*b^3*d^10)*x^3 + 45*(3*b^10*c^8*d^2 + 8*a*b^9*c^7*d^3 + 28*a^2*b^8*c^6*d^4 + 168*a^3*b^7*c^5*d^5 - 1750*a^4*b^6*c^4*d^6 + 4312*a^5*b^5*c^3*d^7 - 4788*a^6*b^4*c^2*d^8 + 2552*a^7*b^3*c*d^9 - 533*a^8*b^2*d^10)*x^2 + 6*(4*b^10*c^9*d + 9*a*b^9*c^8*d^2 + 24*a^2*b^8*c^7*d^3 + 84*a^3*b^7*c^6*d^4 + 504*a^4*b^6*c^5*d^5 - 5754*a^5*b^5*c^4*d^6 + 14616*a^6*b^4*c^3*d^7 - 16524*a^7*b^3*c^2*d^8 + 8916*a^8*b^2*c*d^9 - 1879*a^9*b*d^10)*x)/(b^17*x^6 + 6*a*b^16*x^5 + 15*a^2*b^15*x^4 + 20*a^3*b^14*x^3 + 15*a^4*b^13*x^2 + 6*a^5*b^12*x + a^6*b^11) + 1/12*(3*b^3*d^10*x^4 + 4*(10*b^3*c*d^9 - 7*a*b^2*d^10)*x^3 + 6*(45*b^3*c^2*d^8 - 70*a*b^2*c*d^9 + 28*a^2*b*d^10)*x^2 + 12*(120*b^3*c^3*d^7 - 315*a*b^2*c^2*d^8 + 280*a^2*b*c*d^9 - 84*a^3*d^10)*x)/b^10 + 210*(b^4*c^4*d^6 - 4*a*b^3*c^3*d^7 + 6*a^2*b^2*c^2*d^8 - 4*a^3*b*c*d^9 + a^4*d^10)*log(b*x + a)/b^11","B",0
1319,1,934,0,2.444270," ","integrate((d*x+c)^10/(b*x+a)^8,x, algorithm=""maxima"")","-\frac{3 \, b^{10} c^{10} + 5 \, a b^{9} c^{9} d + 9 \, a^{2} b^{8} c^{8} d^{2} + 18 \, a^{3} b^{7} c^{7} d^{3} + 42 \, a^{4} b^{6} c^{6} d^{4} + 126 \, a^{5} b^{5} c^{5} d^{5} + 630 \, a^{6} b^{4} c^{4} d^{6} - 6534 \, a^{7} b^{3} c^{3} d^{7} + 12987 \, a^{8} b^{2} c^{2} d^{8} - 10047 \, a^{9} b c d^{9} + 2761 \, a^{10} d^{10} + 4410 \, {\left(b^{10} c^{4} d^{6} - 4 \, a b^{9} c^{3} d^{7} + 6 \, a^{2} b^{8} c^{2} d^{8} - 4 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 2646 \, {\left(b^{10} c^{5} d^{5} + 5 \, a b^{9} c^{4} d^{6} - 30 \, a^{2} b^{8} c^{3} d^{7} + 50 \, a^{3} b^{7} c^{2} d^{8} - 35 \, a^{4} b^{6} c d^{9} + 9 \, a^{5} b^{5} d^{10}\right)} x^{5} + 1470 \, {\left(b^{10} c^{6} d^{4} + 3 \, a b^{9} c^{5} d^{5} + 15 \, a^{2} b^{8} c^{4} d^{6} - 110 \, a^{3} b^{7} c^{3} d^{7} + 195 \, a^{4} b^{6} c^{2} d^{8} - 141 \, a^{5} b^{5} c d^{9} + 37 \, a^{6} b^{4} d^{10}\right)} x^{4} + 210 \, {\left(3 \, b^{10} c^{7} d^{3} + 7 \, a b^{9} c^{6} d^{4} + 21 \, a^{2} b^{8} c^{5} d^{5} + 105 \, a^{3} b^{7} c^{4} d^{6} - 875 \, a^{4} b^{6} c^{3} d^{7} + 1617 \, a^{5} b^{5} c^{2} d^{8} - 1197 \, a^{6} b^{4} c d^{9} + 319 \, a^{7} b^{3} d^{10}\right)} x^{3} + 63 \, {\left(3 \, b^{10} c^{8} d^{2} + 6 \, a b^{9} c^{7} d^{3} + 14 \, a^{2} b^{8} c^{6} d^{4} + 42 \, a^{3} b^{7} c^{5} d^{5} + 210 \, a^{4} b^{6} c^{4} d^{6} - 1918 \, a^{5} b^{5} c^{3} d^{7} + 3654 \, a^{6} b^{4} c^{2} d^{8} - 2754 \, a^{7} b^{3} c d^{9} + 743 \, a^{8} b^{2} d^{10}\right)} x^{2} + 7 \, {\left(5 \, b^{10} c^{9} d + 9 \, a b^{9} c^{8} d^{2} + 18 \, a^{2} b^{8} c^{7} d^{3} + 42 \, a^{3} b^{7} c^{6} d^{4} + 126 \, a^{4} b^{6} c^{5} d^{5} + 630 \, a^{5} b^{5} c^{4} d^{6} - 6174 \, a^{6} b^{4} c^{3} d^{7} + 12042 \, a^{7} b^{3} c^{2} d^{8} - 9207 \, a^{8} b^{2} c d^{9} + 2509 \, a^{9} b d^{10}\right)} x}{21 \, {\left(b^{18} x^{7} + 7 \, a b^{17} x^{6} + 21 \, a^{2} b^{16} x^{5} + 35 \, a^{3} b^{15} x^{4} + 35 \, a^{4} b^{14} x^{3} + 21 \, a^{5} b^{13} x^{2} + 7 \, a^{6} b^{12} x + a^{7} b^{11}\right)}} + \frac{b^{2} d^{10} x^{3} + 3 \, {\left(5 \, b^{2} c d^{9} - 4 \, a b d^{10}\right)} x^{2} + 3 \, {\left(45 \, b^{2} c^{2} d^{8} - 80 \, a b c d^{9} + 36 \, a^{2} d^{10}\right)} x}{3 \, b^{10}} + \frac{120 \, {\left(b^{3} c^{3} d^{7} - 3 \, a b^{2} c^{2} d^{8} + 3 \, a^{2} b c d^{9} - a^{3} d^{10}\right)} \log\left(b x + a\right)}{b^{11}}"," ",0,"-1/21*(3*b^10*c^10 + 5*a*b^9*c^9*d + 9*a^2*b^8*c^8*d^2 + 18*a^3*b^7*c^7*d^3 + 42*a^4*b^6*c^6*d^4 + 126*a^5*b^5*c^5*d^5 + 630*a^6*b^4*c^4*d^6 - 6534*a^7*b^3*c^3*d^7 + 12987*a^8*b^2*c^2*d^8 - 10047*a^9*b*c*d^9 + 2761*a^10*d^10 + 4410*(b^10*c^4*d^6 - 4*a*b^9*c^3*d^7 + 6*a^2*b^8*c^2*d^8 - 4*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 2646*(b^10*c^5*d^5 + 5*a*b^9*c^4*d^6 - 30*a^2*b^8*c^3*d^7 + 50*a^3*b^7*c^2*d^8 - 35*a^4*b^6*c*d^9 + 9*a^5*b^5*d^10)*x^5 + 1470*(b^10*c^6*d^4 + 3*a*b^9*c^5*d^5 + 15*a^2*b^8*c^4*d^6 - 110*a^3*b^7*c^3*d^7 + 195*a^4*b^6*c^2*d^8 - 141*a^5*b^5*c*d^9 + 37*a^6*b^4*d^10)*x^4 + 210*(3*b^10*c^7*d^3 + 7*a*b^9*c^6*d^4 + 21*a^2*b^8*c^5*d^5 + 105*a^3*b^7*c^4*d^6 - 875*a^4*b^6*c^3*d^7 + 1617*a^5*b^5*c^2*d^8 - 1197*a^6*b^4*c*d^9 + 319*a^7*b^3*d^10)*x^3 + 63*(3*b^10*c^8*d^2 + 6*a*b^9*c^7*d^3 + 14*a^2*b^8*c^6*d^4 + 42*a^3*b^7*c^5*d^5 + 210*a^4*b^6*c^4*d^6 - 1918*a^5*b^5*c^3*d^7 + 3654*a^6*b^4*c^2*d^8 - 2754*a^7*b^3*c*d^9 + 743*a^8*b^2*d^10)*x^2 + 7*(5*b^10*c^9*d + 9*a*b^9*c^8*d^2 + 18*a^2*b^8*c^7*d^3 + 42*a^3*b^7*c^6*d^4 + 126*a^4*b^6*c^5*d^5 + 630*a^5*b^5*c^4*d^6 - 6174*a^6*b^4*c^3*d^7 + 12042*a^7*b^3*c^2*d^8 - 9207*a^8*b^2*c*d^9 + 2509*a^9*b*d^10)*x)/(b^18*x^7 + 7*a*b^17*x^6 + 21*a^2*b^16*x^5 + 35*a^3*b^15*x^4 + 35*a^4*b^14*x^3 + 21*a^5*b^13*x^2 + 7*a^6*b^12*x + a^7*b^11) + 1/3*(b^2*d^10*x^3 + 3*(5*b^2*c*d^9 - 4*a*b*d^10)*x^2 + 3*(45*b^2*c^2*d^8 - 80*a*b*c*d^9 + 36*a^2*d^10)*x)/b^10 + 120*(b^3*c^3*d^7 - 3*a*b^2*c^2*d^8 + 3*a^2*b*c*d^9 - a^3*d^10)*log(b*x + a)/b^11","B",0
1320,1,945,0,2.583627," ","integrate((d*x+c)^10/(b*x+a)^9,x, algorithm=""maxima"")","-\frac{7 \, b^{10} c^{10} + 10 \, a b^{9} c^{9} d + 15 \, a^{2} b^{8} c^{8} d^{2} + 24 \, a^{3} b^{7} c^{7} d^{3} + 42 \, a^{4} b^{6} c^{6} d^{4} + 84 \, a^{5} b^{5} c^{5} d^{5} + 210 \, a^{6} b^{4} c^{4} d^{6} + 840 \, a^{7} b^{3} c^{3} d^{7} - 6849 \, a^{8} b^{2} c^{2} d^{8} + 9218 \, a^{9} b c d^{9} - 3601 \, a^{10} d^{10} + 6720 \, {\left(b^{10} c^{3} d^{7} - 3 \, a b^{9} c^{2} d^{8} + 3 \, a^{2} b^{8} c d^{9} - a^{3} b^{7} d^{10}\right)} x^{7} + 5880 \, {\left(b^{10} c^{4} d^{6} + 4 \, a b^{9} c^{3} d^{7} - 18 \, a^{2} b^{8} c^{2} d^{8} + 20 \, a^{3} b^{7} c d^{9} - 7 \, a^{4} b^{6} d^{10}\right)} x^{6} + 2352 \, {\left(2 \, b^{10} c^{5} d^{5} + 5 \, a b^{9} c^{4} d^{6} + 20 \, a^{2} b^{8} c^{3} d^{7} - 110 \, a^{3} b^{7} c^{2} d^{8} + 130 \, a^{4} b^{6} c d^{9} - 47 \, a^{5} b^{5} d^{10}\right)} x^{5} + 2940 \, {\left(b^{10} c^{6} d^{4} + 2 \, a b^{9} c^{5} d^{5} + 5 \, a^{2} b^{8} c^{4} d^{6} + 20 \, a^{3} b^{7} c^{3} d^{7} - 125 \, a^{4} b^{6} c^{2} d^{8} + 154 \, a^{5} b^{5} c d^{9} - 57 \, a^{6} b^{4} d^{10}\right)} x^{4} + 336 \, {\left(4 \, b^{10} c^{7} d^{3} + 7 \, a b^{9} c^{6} d^{4} + 14 \, a^{2} b^{8} c^{5} d^{5} + 35 \, a^{3} b^{7} c^{4} d^{6} + 140 \, a^{4} b^{6} c^{3} d^{7} - 959 \, a^{5} b^{5} c^{2} d^{8} + 1218 \, a^{6} b^{4} c d^{9} - 459 \, a^{7} b^{3} d^{10}\right)} x^{3} + 84 \, {\left(5 \, b^{10} c^{8} d^{2} + 8 \, a b^{9} c^{7} d^{3} + 14 \, a^{2} b^{8} c^{6} d^{4} + 28 \, a^{3} b^{7} c^{5} d^{5} + 70 \, a^{4} b^{6} c^{4} d^{6} + 280 \, a^{5} b^{5} c^{3} d^{7} - 2058 \, a^{6} b^{4} c^{2} d^{8} + 2676 \, a^{7} b^{3} c d^{9} - 1023 \, a^{8} b^{2} d^{10}\right)} x^{2} + 8 \, {\left(10 \, b^{10} c^{9} d + 15 \, a b^{9} c^{8} d^{2} + 24 \, a^{2} b^{8} c^{7} d^{3} + 42 \, a^{3} b^{7} c^{6} d^{4} + 84 \, a^{4} b^{6} c^{5} d^{5} + 210 \, a^{5} b^{5} c^{4} d^{6} + 840 \, a^{6} b^{4} c^{3} d^{7} - 6534 \, a^{7} b^{3} c^{2} d^{8} + 8658 \, a^{8} b^{2} c d^{9} - 3349 \, a^{9} b d^{10}\right)} x}{56 \, {\left(b^{19} x^{8} + 8 \, a b^{18} x^{7} + 28 \, a^{2} b^{17} x^{6} + 56 \, a^{3} b^{16} x^{5} + 70 \, a^{4} b^{15} x^{4} + 56 \, a^{5} b^{14} x^{3} + 28 \, a^{6} b^{13} x^{2} + 8 \, a^{7} b^{12} x + a^{8} b^{11}\right)}} + \frac{b d^{10} x^{2} + 2 \, {\left(10 \, b c d^{9} - 9 \, a d^{10}\right)} x}{2 \, b^{10}} + \frac{45 \, {\left(b^{2} c^{2} d^{8} - 2 \, a b c d^{9} + a^{2} d^{10}\right)} \log\left(b x + a\right)}{b^{11}}"," ",0,"-1/56*(7*b^10*c^10 + 10*a*b^9*c^9*d + 15*a^2*b^8*c^8*d^2 + 24*a^3*b^7*c^7*d^3 + 42*a^4*b^6*c^6*d^4 + 84*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 + 840*a^7*b^3*c^3*d^7 - 6849*a^8*b^2*c^2*d^8 + 9218*a^9*b*c*d^9 - 3601*a^10*d^10 + 6720*(b^10*c^3*d^7 - 3*a*b^9*c^2*d^8 + 3*a^2*b^8*c*d^9 - a^3*b^7*d^10)*x^7 + 5880*(b^10*c^4*d^6 + 4*a*b^9*c^3*d^7 - 18*a^2*b^8*c^2*d^8 + 20*a^3*b^7*c*d^9 - 7*a^4*b^6*d^10)*x^6 + 2352*(2*b^10*c^5*d^5 + 5*a*b^9*c^4*d^6 + 20*a^2*b^8*c^3*d^7 - 110*a^3*b^7*c^2*d^8 + 130*a^4*b^6*c*d^9 - 47*a^5*b^5*d^10)*x^5 + 2940*(b^10*c^6*d^4 + 2*a*b^9*c^5*d^5 + 5*a^2*b^8*c^4*d^6 + 20*a^3*b^7*c^3*d^7 - 125*a^4*b^6*c^2*d^8 + 154*a^5*b^5*c*d^9 - 57*a^6*b^4*d^10)*x^4 + 336*(4*b^10*c^7*d^3 + 7*a*b^9*c^6*d^4 + 14*a^2*b^8*c^5*d^5 + 35*a^3*b^7*c^4*d^6 + 140*a^4*b^6*c^3*d^7 - 959*a^5*b^5*c^2*d^8 + 1218*a^6*b^4*c*d^9 - 459*a^7*b^3*d^10)*x^3 + 84*(5*b^10*c^8*d^2 + 8*a*b^9*c^7*d^3 + 14*a^2*b^8*c^6*d^4 + 28*a^3*b^7*c^5*d^5 + 70*a^4*b^6*c^4*d^6 + 280*a^5*b^5*c^3*d^7 - 2058*a^6*b^4*c^2*d^8 + 2676*a^7*b^3*c*d^9 - 1023*a^8*b^2*d^10)*x^2 + 8*(10*b^10*c^9*d + 15*a*b^9*c^8*d^2 + 24*a^2*b^8*c^7*d^3 + 42*a^3*b^7*c^6*d^4 + 84*a^4*b^6*c^5*d^5 + 210*a^5*b^5*c^4*d^6 + 840*a^6*b^4*c^3*d^7 - 6534*a^7*b^3*c^2*d^8 + 8658*a^8*b^2*c*d^9 - 3349*a^9*b*d^10)*x)/(b^19*x^8 + 8*a*b^18*x^7 + 28*a^2*b^17*x^6 + 56*a^3*b^16*x^5 + 70*a^4*b^15*x^4 + 56*a^5*b^14*x^3 + 28*a^6*b^13*x^2 + 8*a^7*b^12*x + a^8*b^11) + 1/2*(b*d^10*x^2 + 2*(10*b*c*d^9 - 9*a*d^10)*x)/b^10 + 45*(b^2*c^2*d^8 - 2*a*b*c*d^9 + a^2*d^10)*log(b*x + a)/b^11","B",0
1321,1,957,0,2.362052," ","integrate((d*x+c)^10/(b*x+a)^10,x, algorithm=""maxima"")","\frac{d^{10} x}{b^{10}} - \frac{28 \, b^{10} c^{10} + 35 \, a b^{9} c^{9} d + 45 \, a^{2} b^{8} c^{8} d^{2} + 60 \, a^{3} b^{7} c^{7} d^{3} + 84 \, a^{4} b^{6} c^{6} d^{4} + 126 \, a^{5} b^{5} c^{5} d^{5} + 210 \, a^{6} b^{4} c^{4} d^{6} + 420 \, a^{7} b^{3} c^{3} d^{7} + 1260 \, a^{8} b^{2} c^{2} d^{8} - 7129 \, a^{9} b c d^{9} + 4861 \, a^{10} d^{10} + 11340 \, {\left(b^{10} c^{2} d^{8} - 2 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 15120 \, {\left(b^{10} c^{3} d^{7} + 3 \, a b^{9} c^{2} d^{8} - 9 \, a^{2} b^{8} c d^{9} + 5 \, a^{3} b^{7} d^{10}\right)} x^{7} + 17640 \, {\left(b^{10} c^{4} d^{6} + 2 \, a b^{9} c^{3} d^{7} + 6 \, a^{2} b^{8} c^{2} d^{8} - 22 \, a^{3} b^{7} c d^{9} + 13 \, a^{4} b^{6} d^{10}\right)} x^{6} + 5292 \, {\left(3 \, b^{10} c^{5} d^{5} + 5 \, a b^{9} c^{4} d^{6} + 10 \, a^{2} b^{8} c^{3} d^{7} + 30 \, a^{3} b^{7} c^{2} d^{8} - 125 \, a^{4} b^{6} c d^{9} + 77 \, a^{5} b^{5} d^{10}\right)} x^{5} + 5292 \, {\left(2 \, b^{10} c^{6} d^{4} + 3 \, a b^{9} c^{5} d^{5} + 5 \, a^{2} b^{8} c^{4} d^{6} + 10 \, a^{3} b^{7} c^{3} d^{7} + 30 \, a^{4} b^{6} c^{2} d^{8} - 137 \, a^{5} b^{5} c d^{9} + 87 \, a^{6} b^{4} d^{10}\right)} x^{4} + 504 \, {\left(10 \, b^{10} c^{7} d^{3} + 14 \, a b^{9} c^{6} d^{4} + 21 \, a^{2} b^{8} c^{5} d^{5} + 35 \, a^{3} b^{7} c^{4} d^{6} + 70 \, a^{4} b^{6} c^{3} d^{7} + 210 \, a^{5} b^{5} c^{2} d^{8} - 1029 \, a^{6} b^{4} c d^{9} + 669 \, a^{7} b^{3} d^{10}\right)} x^{3} + 108 \, {\left(15 \, b^{10} c^{8} d^{2} + 20 \, a b^{9} c^{7} d^{3} + 28 \, a^{2} b^{8} c^{6} d^{4} + 42 \, a^{3} b^{7} c^{5} d^{5} + 70 \, a^{4} b^{6} c^{4} d^{6} + 140 \, a^{5} b^{5} c^{3} d^{7} + 420 \, a^{6} b^{4} c^{2} d^{8} - 2178 \, a^{7} b^{3} c d^{9} + 1443 \, a^{8} b^{2} d^{10}\right)} x^{2} + 9 \, {\left(35 \, b^{10} c^{9} d + 45 \, a b^{9} c^{8} d^{2} + 60 \, a^{2} b^{8} c^{7} d^{3} + 84 \, a^{3} b^{7} c^{6} d^{4} + 126 \, a^{4} b^{6} c^{5} d^{5} + 210 \, a^{5} b^{5} c^{4} d^{6} + 420 \, a^{6} b^{4} c^{3} d^{7} + 1260 \, a^{7} b^{3} c^{2} d^{8} - 6849 \, a^{8} b^{2} c d^{9} + 4609 \, a^{9} b d^{10}\right)} x}{252 \, {\left(b^{20} x^{9} + 9 \, a b^{19} x^{8} + 36 \, a^{2} b^{18} x^{7} + 84 \, a^{3} b^{17} x^{6} + 126 \, a^{4} b^{16} x^{5} + 126 \, a^{5} b^{15} x^{4} + 84 \, a^{6} b^{14} x^{3} + 36 \, a^{7} b^{13} x^{2} + 9 \, a^{8} b^{12} x + a^{9} b^{11}\right)}} + \frac{10 \, {\left(b c d^{9} - a d^{10}\right)} \log\left(b x + a\right)}{b^{11}}"," ",0,"d^10*x/b^10 - 1/252*(28*b^10*c^10 + 35*a*b^9*c^9*d + 45*a^2*b^8*c^8*d^2 + 60*a^3*b^7*c^7*d^3 + 84*a^4*b^6*c^6*d^4 + 126*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 + 420*a^7*b^3*c^3*d^7 + 1260*a^8*b^2*c^2*d^8 - 7129*a^9*b*c*d^9 + 4861*a^10*d^10 + 11340*(b^10*c^2*d^8 - 2*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 15120*(b^10*c^3*d^7 + 3*a*b^9*c^2*d^8 - 9*a^2*b^8*c*d^9 + 5*a^3*b^7*d^10)*x^7 + 17640*(b^10*c^4*d^6 + 2*a*b^9*c^3*d^7 + 6*a^2*b^8*c^2*d^8 - 22*a^3*b^7*c*d^9 + 13*a^4*b^6*d^10)*x^6 + 5292*(3*b^10*c^5*d^5 + 5*a*b^9*c^4*d^6 + 10*a^2*b^8*c^3*d^7 + 30*a^3*b^7*c^2*d^8 - 125*a^4*b^6*c*d^9 + 77*a^5*b^5*d^10)*x^5 + 5292*(2*b^10*c^6*d^4 + 3*a*b^9*c^5*d^5 + 5*a^2*b^8*c^4*d^6 + 10*a^3*b^7*c^3*d^7 + 30*a^4*b^6*c^2*d^8 - 137*a^5*b^5*c*d^9 + 87*a^6*b^4*d^10)*x^4 + 504*(10*b^10*c^7*d^3 + 14*a*b^9*c^6*d^4 + 21*a^2*b^8*c^5*d^5 + 35*a^3*b^7*c^4*d^6 + 70*a^4*b^6*c^3*d^7 + 210*a^5*b^5*c^2*d^8 - 1029*a^6*b^4*c*d^9 + 669*a^7*b^3*d^10)*x^3 + 108*(15*b^10*c^8*d^2 + 20*a*b^9*c^7*d^3 + 28*a^2*b^8*c^6*d^4 + 42*a^3*b^7*c^5*d^5 + 70*a^4*b^6*c^4*d^6 + 140*a^5*b^5*c^3*d^7 + 420*a^6*b^4*c^2*d^8 - 2178*a^7*b^3*c*d^9 + 1443*a^8*b^2*d^10)*x^2 + 9*(35*b^10*c^9*d + 45*a*b^9*c^8*d^2 + 60*a^2*b^8*c^7*d^3 + 84*a^3*b^7*c^6*d^4 + 126*a^4*b^6*c^5*d^5 + 210*a^5*b^5*c^4*d^6 + 420*a^6*b^4*c^3*d^7 + 1260*a^7*b^3*c^2*d^8 - 6849*a^8*b^2*c*d^9 + 4609*a^9*b*d^10)*x)/(b^20*x^9 + 9*a*b^19*x^8 + 36*a^2*b^18*x^7 + 84*a^3*b^17*x^6 + 126*a^4*b^16*x^5 + 126*a^5*b^15*x^4 + 84*a^6*b^14*x^3 + 36*a^7*b^13*x^2 + 9*a^8*b^12*x + a^9*b^11) + 10*(b*c*d^9 - a*d^10)*log(b*x + a)/b^11","B",0
1322,1,975,0,2.014014," ","integrate((d*x+c)^10/(b*x+a)^11,x, algorithm=""maxima"")","-\frac{252 \, b^{10} c^{10} + 280 \, a b^{9} c^{9} d + 315 \, a^{2} b^{8} c^{8} d^{2} + 360 \, a^{3} b^{7} c^{7} d^{3} + 420 \, a^{4} b^{6} c^{6} d^{4} + 504 \, a^{5} b^{5} c^{5} d^{5} + 630 \, a^{6} b^{4} c^{4} d^{6} + 840 \, a^{7} b^{3} c^{3} d^{7} + 1260 \, a^{8} b^{2} c^{2} d^{8} + 2520 \, a^{9} b c d^{9} - 7381 \, a^{10} d^{10} + 25200 \, {\left(b^{10} c d^{9} - a b^{9} d^{10}\right)} x^{9} + 56700 \, {\left(b^{10} c^{2} d^{8} + 2 \, a b^{9} c d^{9} - 3 \, a^{2} b^{8} d^{10}\right)} x^{8} + 50400 \, {\left(2 \, b^{10} c^{3} d^{7} + 3 \, a b^{9} c^{2} d^{8} + 6 \, a^{2} b^{8} c d^{9} - 11 \, a^{3} b^{7} d^{10}\right)} x^{7} + 44100 \, {\left(3 \, b^{10} c^{4} d^{6} + 4 \, a b^{9} c^{3} d^{7} + 6 \, a^{2} b^{8} c^{2} d^{8} + 12 \, a^{3} b^{7} c d^{9} - 25 \, a^{4} b^{6} d^{10}\right)} x^{6} + 10584 \, {\left(12 \, b^{10} c^{5} d^{5} + 15 \, a b^{9} c^{4} d^{6} + 20 \, a^{2} b^{8} c^{3} d^{7} + 30 \, a^{3} b^{7} c^{2} d^{8} + 60 \, a^{4} b^{6} c d^{9} - 137 \, a^{5} b^{5} d^{10}\right)} x^{5} + 8820 \, {\left(10 \, b^{10} c^{6} d^{4} + 12 \, a b^{9} c^{5} d^{5} + 15 \, a^{2} b^{8} c^{4} d^{6} + 20 \, a^{3} b^{7} c^{3} d^{7} + 30 \, a^{4} b^{6} c^{2} d^{8} + 60 \, a^{5} b^{5} c d^{9} - 147 \, a^{6} b^{4} d^{10}\right)} x^{4} + 720 \, {\left(60 \, b^{10} c^{7} d^{3} + 70 \, a b^{9} c^{6} d^{4} + 84 \, a^{2} b^{8} c^{5} d^{5} + 105 \, a^{3} b^{7} c^{4} d^{6} + 140 \, a^{4} b^{6} c^{3} d^{7} + 210 \, a^{5} b^{5} c^{2} d^{8} + 420 \, a^{6} b^{4} c d^{9} - 1089 \, a^{7} b^{3} d^{10}\right)} x^{3} + 135 \, {\left(105 \, b^{10} c^{8} d^{2} + 120 \, a b^{9} c^{7} d^{3} + 140 \, a^{2} b^{8} c^{6} d^{4} + 168 \, a^{3} b^{7} c^{5} d^{5} + 210 \, a^{4} b^{6} c^{4} d^{6} + 280 \, a^{5} b^{5} c^{3} d^{7} + 420 \, a^{6} b^{4} c^{2} d^{8} + 840 \, a^{7} b^{3} c d^{9} - 2283 \, a^{8} b^{2} d^{10}\right)} x^{2} + 10 \, {\left(280 \, b^{10} c^{9} d + 315 \, a b^{9} c^{8} d^{2} + 360 \, a^{2} b^{8} c^{7} d^{3} + 420 \, a^{3} b^{7} c^{6} d^{4} + 504 \, a^{4} b^{6} c^{5} d^{5} + 630 \, a^{5} b^{5} c^{4} d^{6} + 840 \, a^{6} b^{4} c^{3} d^{7} + 1260 \, a^{7} b^{3} c^{2} d^{8} + 2520 \, a^{8} b^{2} c d^{9} - 7129 \, a^{9} b d^{10}\right)} x}{2520 \, {\left(b^{21} x^{10} + 10 \, a b^{20} x^{9} + 45 \, a^{2} b^{19} x^{8} + 120 \, a^{3} b^{18} x^{7} + 210 \, a^{4} b^{17} x^{6} + 252 \, a^{5} b^{16} x^{5} + 210 \, a^{6} b^{15} x^{4} + 120 \, a^{7} b^{14} x^{3} + 45 \, a^{8} b^{13} x^{2} + 10 \, a^{9} b^{12} x + a^{10} b^{11}\right)}} + \frac{d^{10} \log\left(b x + a\right)}{b^{11}}"," ",0,"-1/2520*(252*b^10*c^10 + 280*a*b^9*c^9*d + 315*a^2*b^8*c^8*d^2 + 360*a^3*b^7*c^7*d^3 + 420*a^4*b^6*c^6*d^4 + 504*a^5*b^5*c^5*d^5 + 630*a^6*b^4*c^4*d^6 + 840*a^7*b^3*c^3*d^7 + 1260*a^8*b^2*c^2*d^8 + 2520*a^9*b*c*d^9 - 7381*a^10*d^10 + 25200*(b^10*c*d^9 - a*b^9*d^10)*x^9 + 56700*(b^10*c^2*d^8 + 2*a*b^9*c*d^9 - 3*a^2*b^8*d^10)*x^8 + 50400*(2*b^10*c^3*d^7 + 3*a*b^9*c^2*d^8 + 6*a^2*b^8*c*d^9 - 11*a^3*b^7*d^10)*x^7 + 44100*(3*b^10*c^4*d^6 + 4*a*b^9*c^3*d^7 + 6*a^2*b^8*c^2*d^8 + 12*a^3*b^7*c*d^9 - 25*a^4*b^6*d^10)*x^6 + 10584*(12*b^10*c^5*d^5 + 15*a*b^9*c^4*d^6 + 20*a^2*b^8*c^3*d^7 + 30*a^3*b^7*c^2*d^8 + 60*a^4*b^6*c*d^9 - 137*a^5*b^5*d^10)*x^5 + 8820*(10*b^10*c^6*d^4 + 12*a*b^9*c^5*d^5 + 15*a^2*b^8*c^4*d^6 + 20*a^3*b^7*c^3*d^7 + 30*a^4*b^6*c^2*d^8 + 60*a^5*b^5*c*d^9 - 147*a^6*b^4*d^10)*x^4 + 720*(60*b^10*c^7*d^3 + 70*a*b^9*c^6*d^4 + 84*a^2*b^8*c^5*d^5 + 105*a^3*b^7*c^4*d^6 + 140*a^4*b^6*c^3*d^7 + 210*a^5*b^5*c^2*d^8 + 420*a^6*b^4*c*d^9 - 1089*a^7*b^3*d^10)*x^3 + 135*(105*b^10*c^8*d^2 + 120*a*b^9*c^7*d^3 + 140*a^2*b^8*c^6*d^4 + 168*a^3*b^7*c^5*d^5 + 210*a^4*b^6*c^4*d^6 + 280*a^5*b^5*c^3*d^7 + 420*a^6*b^4*c^2*d^8 + 840*a^7*b^3*c*d^9 - 2283*a^8*b^2*d^10)*x^2 + 10*(280*b^10*c^9*d + 315*a*b^9*c^8*d^2 + 360*a^2*b^8*c^7*d^3 + 420*a^3*b^7*c^6*d^4 + 504*a^4*b^6*c^5*d^5 + 630*a^5*b^5*c^4*d^6 + 840*a^6*b^4*c^3*d^7 + 1260*a^7*b^3*c^2*d^8 + 2520*a^8*b^2*c*d^9 - 7129*a^9*b*d^10)*x)/(b^21*x^10 + 10*a*b^20*x^9 + 45*a^2*b^19*x^8 + 120*a^3*b^18*x^7 + 210*a^4*b^17*x^6 + 252*a^5*b^16*x^5 + 210*a^6*b^15*x^4 + 120*a^7*b^14*x^3 + 45*a^8*b^13*x^2 + 10*a^9*b^12*x + a^10*b^11) + d^10*log(b*x + a)/b^11","B",0
1323,1,920,0,2.128358," ","integrate((d*x+c)^10/(b*x+a)^12,x, algorithm=""maxima"")","-\frac{11 \, b^{10} d^{10} x^{10} + b^{10} c^{10} + a b^{9} c^{9} d + a^{2} b^{8} c^{8} d^{2} + a^{3} b^{7} c^{7} d^{3} + a^{4} b^{6} c^{6} d^{4} + a^{5} b^{5} c^{5} d^{5} + a^{6} b^{4} c^{4} d^{6} + a^{7} b^{3} c^{3} d^{7} + a^{8} b^{2} c^{2} d^{8} + a^{9} b c d^{9} + a^{10} d^{10} + 55 \, {\left(b^{10} c d^{9} + a b^{9} d^{10}\right)} x^{9} + 165 \, {\left(b^{10} c^{2} d^{8} + a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 330 \, {\left(b^{10} c^{3} d^{7} + a b^{9} c^{2} d^{8} + a^{2} b^{8} c d^{9} + a^{3} b^{7} d^{10}\right)} x^{7} + 462 \, {\left(b^{10} c^{4} d^{6} + a b^{9} c^{3} d^{7} + a^{2} b^{8} c^{2} d^{8} + a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 462 \, {\left(b^{10} c^{5} d^{5} + a b^{9} c^{4} d^{6} + a^{2} b^{8} c^{3} d^{7} + a^{3} b^{7} c^{2} d^{8} + a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} x^{5} + 330 \, {\left(b^{10} c^{6} d^{4} + a b^{9} c^{5} d^{5} + a^{2} b^{8} c^{4} d^{6} + a^{3} b^{7} c^{3} d^{7} + a^{4} b^{6} c^{2} d^{8} + a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 165 \, {\left(b^{10} c^{7} d^{3} + a b^{9} c^{6} d^{4} + a^{2} b^{8} c^{5} d^{5} + a^{3} b^{7} c^{4} d^{6} + a^{4} b^{6} c^{3} d^{7} + a^{5} b^{5} c^{2} d^{8} + a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} x^{3} + 55 \, {\left(b^{10} c^{8} d^{2} + a b^{9} c^{7} d^{3} + a^{2} b^{8} c^{6} d^{4} + a^{3} b^{7} c^{5} d^{5} + a^{4} b^{6} c^{4} d^{6} + a^{5} b^{5} c^{3} d^{7} + a^{6} b^{4} c^{2} d^{8} + a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 11 \, {\left(b^{10} c^{9} d + a b^{9} c^{8} d^{2} + a^{2} b^{8} c^{7} d^{3} + a^{3} b^{7} c^{6} d^{4} + a^{4} b^{6} c^{5} d^{5} + a^{5} b^{5} c^{4} d^{6} + a^{6} b^{4} c^{3} d^{7} + a^{7} b^{3} c^{2} d^{8} + a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x}{11 \, {\left(b^{22} x^{11} + 11 \, a b^{21} x^{10} + 55 \, a^{2} b^{20} x^{9} + 165 \, a^{3} b^{19} x^{8} + 330 \, a^{4} b^{18} x^{7} + 462 \, a^{5} b^{17} x^{6} + 462 \, a^{6} b^{16} x^{5} + 330 \, a^{7} b^{15} x^{4} + 165 \, a^{8} b^{14} x^{3} + 55 \, a^{9} b^{13} x^{2} + 11 \, a^{10} b^{12} x + a^{11} b^{11}\right)}}"," ",0,"-1/11*(11*b^10*d^10*x^10 + b^10*c^10 + a*b^9*c^9*d + a^2*b^8*c^8*d^2 + a^3*b^7*c^7*d^3 + a^4*b^6*c^6*d^4 + a^5*b^5*c^5*d^5 + a^6*b^4*c^4*d^6 + a^7*b^3*c^3*d^7 + a^8*b^2*c^2*d^8 + a^9*b*c*d^9 + a^10*d^10 + 55*(b^10*c*d^9 + a*b^9*d^10)*x^9 + 165*(b^10*c^2*d^8 + a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 330*(b^10*c^3*d^7 + a*b^9*c^2*d^8 + a^2*b^8*c*d^9 + a^3*b^7*d^10)*x^7 + 462*(b^10*c^4*d^6 + a*b^9*c^3*d^7 + a^2*b^8*c^2*d^8 + a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 462*(b^10*c^5*d^5 + a*b^9*c^4*d^6 + a^2*b^8*c^3*d^7 + a^3*b^7*c^2*d^8 + a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 330*(b^10*c^6*d^4 + a*b^9*c^5*d^5 + a^2*b^8*c^4*d^6 + a^3*b^7*c^3*d^7 + a^4*b^6*c^2*d^8 + a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 165*(b^10*c^7*d^3 + a*b^9*c^6*d^4 + a^2*b^8*c^5*d^5 + a^3*b^7*c^4*d^6 + a^4*b^6*c^3*d^7 + a^5*b^5*c^2*d^8 + a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 55*(b^10*c^8*d^2 + a*b^9*c^7*d^3 + a^2*b^8*c^6*d^4 + a^3*b^7*c^5*d^5 + a^4*b^6*c^4*d^6 + a^5*b^5*c^3*d^7 + a^6*b^4*c^2*d^8 + a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 11*(b^10*c^9*d + a*b^9*c^8*d^2 + a^2*b^8*c^7*d^3 + a^3*b^7*c^6*d^4 + a^4*b^6*c^5*d^5 + a^5*b^5*c^4*d^6 + a^6*b^4*c^3*d^7 + a^7*b^3*c^2*d^8 + a^8*b^2*c*d^9 + a^9*b*d^10)*x)/(b^22*x^11 + 11*a*b^21*x^10 + 55*a^2*b^20*x^9 + 165*a^3*b^19*x^8 + 330*a^4*b^18*x^7 + 462*a^5*b^17*x^6 + 462*a^6*b^16*x^5 + 330*a^7*b^15*x^4 + 165*a^8*b^14*x^3 + 55*a^9*b^13*x^2 + 11*a^10*b^12*x + a^11*b^11)","B",0
1324,1,986,0,2.166924," ","integrate((d*x+c)^10/(b*x+a)^13,x, algorithm=""maxima"")","-\frac{66 \, b^{10} d^{10} x^{10} + 11 \, b^{10} c^{10} + 10 \, a b^{9} c^{9} d + 9 \, a^{2} b^{8} c^{8} d^{2} + 8 \, a^{3} b^{7} c^{7} d^{3} + 7 \, a^{4} b^{6} c^{6} d^{4} + 6 \, a^{5} b^{5} c^{5} d^{5} + 5 \, a^{6} b^{4} c^{4} d^{6} + 4 \, a^{7} b^{3} c^{3} d^{7} + 3 \, a^{8} b^{2} c^{2} d^{8} + 2 \, a^{9} b c d^{9} + a^{10} d^{10} + 220 \, {\left(2 \, b^{10} c d^{9} + a b^{9} d^{10}\right)} x^{9} + 495 \, {\left(3 \, b^{10} c^{2} d^{8} + 2 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 792 \, {\left(4 \, b^{10} c^{3} d^{7} + 3 \, a b^{9} c^{2} d^{8} + 2 \, a^{2} b^{8} c d^{9} + a^{3} b^{7} d^{10}\right)} x^{7} + 924 \, {\left(5 \, b^{10} c^{4} d^{6} + 4 \, a b^{9} c^{3} d^{7} + 3 \, a^{2} b^{8} c^{2} d^{8} + 2 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 792 \, {\left(6 \, b^{10} c^{5} d^{5} + 5 \, a b^{9} c^{4} d^{6} + 4 \, a^{2} b^{8} c^{3} d^{7} + 3 \, a^{3} b^{7} c^{2} d^{8} + 2 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} x^{5} + 495 \, {\left(7 \, b^{10} c^{6} d^{4} + 6 \, a b^{9} c^{5} d^{5} + 5 \, a^{2} b^{8} c^{4} d^{6} + 4 \, a^{3} b^{7} c^{3} d^{7} + 3 \, a^{4} b^{6} c^{2} d^{8} + 2 \, a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 220 \, {\left(8 \, b^{10} c^{7} d^{3} + 7 \, a b^{9} c^{6} d^{4} + 6 \, a^{2} b^{8} c^{5} d^{5} + 5 \, a^{3} b^{7} c^{4} d^{6} + 4 \, a^{4} b^{6} c^{3} d^{7} + 3 \, a^{5} b^{5} c^{2} d^{8} + 2 \, a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} x^{3} + 66 \, {\left(9 \, b^{10} c^{8} d^{2} + 8 \, a b^{9} c^{7} d^{3} + 7 \, a^{2} b^{8} c^{6} d^{4} + 6 \, a^{3} b^{7} c^{5} d^{5} + 5 \, a^{4} b^{6} c^{4} d^{6} + 4 \, a^{5} b^{5} c^{3} d^{7} + 3 \, a^{6} b^{4} c^{2} d^{8} + 2 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 12 \, {\left(10 \, b^{10} c^{9} d + 9 \, a b^{9} c^{8} d^{2} + 8 \, a^{2} b^{8} c^{7} d^{3} + 7 \, a^{3} b^{7} c^{6} d^{4} + 6 \, a^{4} b^{6} c^{5} d^{5} + 5 \, a^{5} b^{5} c^{4} d^{6} + 4 \, a^{6} b^{4} c^{3} d^{7} + 3 \, a^{7} b^{3} c^{2} d^{8} + 2 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x}{132 \, {\left(b^{23} x^{12} + 12 \, a b^{22} x^{11} + 66 \, a^{2} b^{21} x^{10} + 220 \, a^{3} b^{20} x^{9} + 495 \, a^{4} b^{19} x^{8} + 792 \, a^{5} b^{18} x^{7} + 924 \, a^{6} b^{17} x^{6} + 792 \, a^{7} b^{16} x^{5} + 495 \, a^{8} b^{15} x^{4} + 220 \, a^{9} b^{14} x^{3} + 66 \, a^{10} b^{13} x^{2} + 12 \, a^{11} b^{12} x + a^{12} b^{11}\right)}}"," ",0,"-1/132*(66*b^10*d^10*x^10 + 11*b^10*c^10 + 10*a*b^9*c^9*d + 9*a^2*b^8*c^8*d^2 + 8*a^3*b^7*c^7*d^3 + 7*a^4*b^6*c^6*d^4 + 6*a^5*b^5*c^5*d^5 + 5*a^6*b^4*c^4*d^6 + 4*a^7*b^3*c^3*d^7 + 3*a^8*b^2*c^2*d^8 + 2*a^9*b*c*d^9 + a^10*d^10 + 220*(2*b^10*c*d^9 + a*b^9*d^10)*x^9 + 495*(3*b^10*c^2*d^8 + 2*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 792*(4*b^10*c^3*d^7 + 3*a*b^9*c^2*d^8 + 2*a^2*b^8*c*d^9 + a^3*b^7*d^10)*x^7 + 924*(5*b^10*c^4*d^6 + 4*a*b^9*c^3*d^7 + 3*a^2*b^8*c^2*d^8 + 2*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 792*(6*b^10*c^5*d^5 + 5*a*b^9*c^4*d^6 + 4*a^2*b^8*c^3*d^7 + 3*a^3*b^7*c^2*d^8 + 2*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 495*(7*b^10*c^6*d^4 + 6*a*b^9*c^5*d^5 + 5*a^2*b^8*c^4*d^6 + 4*a^3*b^7*c^3*d^7 + 3*a^4*b^6*c^2*d^8 + 2*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 220*(8*b^10*c^7*d^3 + 7*a*b^9*c^6*d^4 + 6*a^2*b^8*c^5*d^5 + 5*a^3*b^7*c^4*d^6 + 4*a^4*b^6*c^3*d^7 + 3*a^5*b^5*c^2*d^8 + 2*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 66*(9*b^10*c^8*d^2 + 8*a*b^9*c^7*d^3 + 7*a^2*b^8*c^6*d^4 + 6*a^3*b^7*c^5*d^5 + 5*a^4*b^6*c^4*d^6 + 4*a^5*b^5*c^3*d^7 + 3*a^6*b^4*c^2*d^8 + 2*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 12*(10*b^10*c^9*d + 9*a*b^9*c^8*d^2 + 8*a^2*b^8*c^7*d^3 + 7*a^3*b^7*c^6*d^4 + 6*a^4*b^6*c^5*d^5 + 5*a^5*b^5*c^4*d^6 + 4*a^6*b^4*c^3*d^7 + 3*a^7*b^3*c^2*d^8 + 2*a^8*b^2*c*d^9 + a^9*b*d^10)*x)/(b^23*x^12 + 12*a*b^22*x^11 + 66*a^2*b^21*x^10 + 220*a^3*b^20*x^9 + 495*a^4*b^19*x^8 + 792*a^5*b^18*x^7 + 924*a^6*b^17*x^6 + 792*a^7*b^16*x^5 + 495*a^8*b^15*x^4 + 220*a^9*b^14*x^3 + 66*a^10*b^13*x^2 + 12*a^11*b^12*x + a^12*b^11)","B",0
1325,1,997,0,2.208206," ","integrate((d*x+c)^10/(b*x+a)^14,x, algorithm=""maxima"")","-\frac{286 \, b^{10} d^{10} x^{10} + 66 \, b^{10} c^{10} + 55 \, a b^{9} c^{9} d + 45 \, a^{2} b^{8} c^{8} d^{2} + 36 \, a^{3} b^{7} c^{7} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{4} + 21 \, a^{5} b^{5} c^{5} d^{5} + 15 \, a^{6} b^{4} c^{4} d^{6} + 10 \, a^{7} b^{3} c^{3} d^{7} + 6 \, a^{8} b^{2} c^{2} d^{8} + 3 \, a^{9} b c d^{9} + a^{10} d^{10} + 715 \, {\left(3 \, b^{10} c d^{9} + a b^{9} d^{10}\right)} x^{9} + 1287 \, {\left(6 \, b^{10} c^{2} d^{8} + 3 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 1716 \, {\left(10 \, b^{10} c^{3} d^{7} + 6 \, a b^{9} c^{2} d^{8} + 3 \, a^{2} b^{8} c d^{9} + a^{3} b^{7} d^{10}\right)} x^{7} + 1716 \, {\left(15 \, b^{10} c^{4} d^{6} + 10 \, a b^{9} c^{3} d^{7} + 6 \, a^{2} b^{8} c^{2} d^{8} + 3 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 1287 \, {\left(21 \, b^{10} c^{5} d^{5} + 15 \, a b^{9} c^{4} d^{6} + 10 \, a^{2} b^{8} c^{3} d^{7} + 6 \, a^{3} b^{7} c^{2} d^{8} + 3 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} x^{5} + 715 \, {\left(28 \, b^{10} c^{6} d^{4} + 21 \, a b^{9} c^{5} d^{5} + 15 \, a^{2} b^{8} c^{4} d^{6} + 10 \, a^{3} b^{7} c^{3} d^{7} + 6 \, a^{4} b^{6} c^{2} d^{8} + 3 \, a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 286 \, {\left(36 \, b^{10} c^{7} d^{3} + 28 \, a b^{9} c^{6} d^{4} + 21 \, a^{2} b^{8} c^{5} d^{5} + 15 \, a^{3} b^{7} c^{4} d^{6} + 10 \, a^{4} b^{6} c^{3} d^{7} + 6 \, a^{5} b^{5} c^{2} d^{8} + 3 \, a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} x^{3} + 78 \, {\left(45 \, b^{10} c^{8} d^{2} + 36 \, a b^{9} c^{7} d^{3} + 28 \, a^{2} b^{8} c^{6} d^{4} + 21 \, a^{3} b^{7} c^{5} d^{5} + 15 \, a^{4} b^{6} c^{4} d^{6} + 10 \, a^{5} b^{5} c^{3} d^{7} + 6 \, a^{6} b^{4} c^{2} d^{8} + 3 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 13 \, {\left(55 \, b^{10} c^{9} d + 45 \, a b^{9} c^{8} d^{2} + 36 \, a^{2} b^{8} c^{7} d^{3} + 28 \, a^{3} b^{7} c^{6} d^{4} + 21 \, a^{4} b^{6} c^{5} d^{5} + 15 \, a^{5} b^{5} c^{4} d^{6} + 10 \, a^{6} b^{4} c^{3} d^{7} + 6 \, a^{7} b^{3} c^{2} d^{8} + 3 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x}{858 \, {\left(b^{24} x^{13} + 13 \, a b^{23} x^{12} + 78 \, a^{2} b^{22} x^{11} + 286 \, a^{3} b^{21} x^{10} + 715 \, a^{4} b^{20} x^{9} + 1287 \, a^{5} b^{19} x^{8} + 1716 \, a^{6} b^{18} x^{7} + 1716 \, a^{7} b^{17} x^{6} + 1287 \, a^{8} b^{16} x^{5} + 715 \, a^{9} b^{15} x^{4} + 286 \, a^{10} b^{14} x^{3} + 78 \, a^{11} b^{13} x^{2} + 13 \, a^{12} b^{12} x + a^{13} b^{11}\right)}}"," ",0,"-1/858*(286*b^10*d^10*x^10 + 66*b^10*c^10 + 55*a*b^9*c^9*d + 45*a^2*b^8*c^8*d^2 + 36*a^3*b^7*c^7*d^3 + 28*a^4*b^6*c^6*d^4 + 21*a^5*b^5*c^5*d^5 + 15*a^6*b^4*c^4*d^6 + 10*a^7*b^3*c^3*d^7 + 6*a^8*b^2*c^2*d^8 + 3*a^9*b*c*d^9 + a^10*d^10 + 715*(3*b^10*c*d^9 + a*b^9*d^10)*x^9 + 1287*(6*b^10*c^2*d^8 + 3*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 1716*(10*b^10*c^3*d^7 + 6*a*b^9*c^2*d^8 + 3*a^2*b^8*c*d^9 + a^3*b^7*d^10)*x^7 + 1716*(15*b^10*c^4*d^6 + 10*a*b^9*c^3*d^7 + 6*a^2*b^8*c^2*d^8 + 3*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 1287*(21*b^10*c^5*d^5 + 15*a*b^9*c^4*d^6 + 10*a^2*b^8*c^3*d^7 + 6*a^3*b^7*c^2*d^8 + 3*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 715*(28*b^10*c^6*d^4 + 21*a*b^9*c^5*d^5 + 15*a^2*b^8*c^4*d^6 + 10*a^3*b^7*c^3*d^7 + 6*a^4*b^6*c^2*d^8 + 3*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 286*(36*b^10*c^7*d^3 + 28*a*b^9*c^6*d^4 + 21*a^2*b^8*c^5*d^5 + 15*a^3*b^7*c^4*d^6 + 10*a^4*b^6*c^3*d^7 + 6*a^5*b^5*c^2*d^8 + 3*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 78*(45*b^10*c^8*d^2 + 36*a*b^9*c^7*d^3 + 28*a^2*b^8*c^6*d^4 + 21*a^3*b^7*c^5*d^5 + 15*a^4*b^6*c^4*d^6 + 10*a^5*b^5*c^3*d^7 + 6*a^6*b^4*c^2*d^8 + 3*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 13*(55*b^10*c^9*d + 45*a*b^9*c^8*d^2 + 36*a^2*b^8*c^7*d^3 + 28*a^3*b^7*c^6*d^4 + 21*a^4*b^6*c^5*d^5 + 15*a^5*b^5*c^4*d^6 + 10*a^6*b^4*c^3*d^7 + 6*a^7*b^3*c^2*d^8 + 3*a^8*b^2*c*d^9 + a^9*b*d^10)*x)/(b^24*x^13 + 13*a*b^23*x^12 + 78*a^2*b^22*x^11 + 286*a^3*b^21*x^10 + 715*a^4*b^20*x^9 + 1287*a^5*b^19*x^8 + 1716*a^6*b^18*x^7 + 1716*a^7*b^17*x^6 + 1287*a^8*b^16*x^5 + 715*a^9*b^15*x^4 + 286*a^10*b^14*x^3 + 78*a^11*b^13*x^2 + 13*a^12*b^12*x + a^13*b^11)","B",0
1326,1,1008,0,2.159539," ","integrate((d*x+c)^10/(b*x+a)^15,x, algorithm=""maxima"")","-\frac{1001 \, b^{10} d^{10} x^{10} + 286 \, b^{10} c^{10} + 220 \, a b^{9} c^{9} d + 165 \, a^{2} b^{8} c^{8} d^{2} + 120 \, a^{3} b^{7} c^{7} d^{3} + 84 \, a^{4} b^{6} c^{6} d^{4} + 56 \, a^{5} b^{5} c^{5} d^{5} + 35 \, a^{6} b^{4} c^{4} d^{6} + 20 \, a^{7} b^{3} c^{3} d^{7} + 10 \, a^{8} b^{2} c^{2} d^{8} + 4 \, a^{9} b c d^{9} + a^{10} d^{10} + 2002 \, {\left(4 \, b^{10} c d^{9} + a b^{9} d^{10}\right)} x^{9} + 3003 \, {\left(10 \, b^{10} c^{2} d^{8} + 4 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 3432 \, {\left(20 \, b^{10} c^{3} d^{7} + 10 \, a b^{9} c^{2} d^{8} + 4 \, a^{2} b^{8} c d^{9} + a^{3} b^{7} d^{10}\right)} x^{7} + 3003 \, {\left(35 \, b^{10} c^{4} d^{6} + 20 \, a b^{9} c^{3} d^{7} + 10 \, a^{2} b^{8} c^{2} d^{8} + 4 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 2002 \, {\left(56 \, b^{10} c^{5} d^{5} + 35 \, a b^{9} c^{4} d^{6} + 20 \, a^{2} b^{8} c^{3} d^{7} + 10 \, a^{3} b^{7} c^{2} d^{8} + 4 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} x^{5} + 1001 \, {\left(84 \, b^{10} c^{6} d^{4} + 56 \, a b^{9} c^{5} d^{5} + 35 \, a^{2} b^{8} c^{4} d^{6} + 20 \, a^{3} b^{7} c^{3} d^{7} + 10 \, a^{4} b^{6} c^{2} d^{8} + 4 \, a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 364 \, {\left(120 \, b^{10} c^{7} d^{3} + 84 \, a b^{9} c^{6} d^{4} + 56 \, a^{2} b^{8} c^{5} d^{5} + 35 \, a^{3} b^{7} c^{4} d^{6} + 20 \, a^{4} b^{6} c^{3} d^{7} + 10 \, a^{5} b^{5} c^{2} d^{8} + 4 \, a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} x^{3} + 91 \, {\left(165 \, b^{10} c^{8} d^{2} + 120 \, a b^{9} c^{7} d^{3} + 84 \, a^{2} b^{8} c^{6} d^{4} + 56 \, a^{3} b^{7} c^{5} d^{5} + 35 \, a^{4} b^{6} c^{4} d^{6} + 20 \, a^{5} b^{5} c^{3} d^{7} + 10 \, a^{6} b^{4} c^{2} d^{8} + 4 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 14 \, {\left(220 \, b^{10} c^{9} d + 165 \, a b^{9} c^{8} d^{2} + 120 \, a^{2} b^{8} c^{7} d^{3} + 84 \, a^{3} b^{7} c^{6} d^{4} + 56 \, a^{4} b^{6} c^{5} d^{5} + 35 \, a^{5} b^{5} c^{4} d^{6} + 20 \, a^{6} b^{4} c^{3} d^{7} + 10 \, a^{7} b^{3} c^{2} d^{8} + 4 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x}{4004 \, {\left(b^{25} x^{14} + 14 \, a b^{24} x^{13} + 91 \, a^{2} b^{23} x^{12} + 364 \, a^{3} b^{22} x^{11} + 1001 \, a^{4} b^{21} x^{10} + 2002 \, a^{5} b^{20} x^{9} + 3003 \, a^{6} b^{19} x^{8} + 3432 \, a^{7} b^{18} x^{7} + 3003 \, a^{8} b^{17} x^{6} + 2002 \, a^{9} b^{16} x^{5} + 1001 \, a^{10} b^{15} x^{4} + 364 \, a^{11} b^{14} x^{3} + 91 \, a^{12} b^{13} x^{2} + 14 \, a^{13} b^{12} x + a^{14} b^{11}\right)}}"," ",0,"-1/4004*(1001*b^10*d^10*x^10 + 286*b^10*c^10 + 220*a*b^9*c^9*d + 165*a^2*b^8*c^8*d^2 + 120*a^3*b^7*c^7*d^3 + 84*a^4*b^6*c^6*d^4 + 56*a^5*b^5*c^5*d^5 + 35*a^6*b^4*c^4*d^6 + 20*a^7*b^3*c^3*d^7 + 10*a^8*b^2*c^2*d^8 + 4*a^9*b*c*d^9 + a^10*d^10 + 2002*(4*b^10*c*d^9 + a*b^9*d^10)*x^9 + 3003*(10*b^10*c^2*d^8 + 4*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 3432*(20*b^10*c^3*d^7 + 10*a*b^9*c^2*d^8 + 4*a^2*b^8*c*d^9 + a^3*b^7*d^10)*x^7 + 3003*(35*b^10*c^4*d^6 + 20*a*b^9*c^3*d^7 + 10*a^2*b^8*c^2*d^8 + 4*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 2002*(56*b^10*c^5*d^5 + 35*a*b^9*c^4*d^6 + 20*a^2*b^8*c^3*d^7 + 10*a^3*b^7*c^2*d^8 + 4*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 1001*(84*b^10*c^6*d^4 + 56*a*b^9*c^5*d^5 + 35*a^2*b^8*c^4*d^6 + 20*a^3*b^7*c^3*d^7 + 10*a^4*b^6*c^2*d^8 + 4*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 364*(120*b^10*c^7*d^3 + 84*a*b^9*c^6*d^4 + 56*a^2*b^8*c^5*d^5 + 35*a^3*b^7*c^4*d^6 + 20*a^4*b^6*c^3*d^7 + 10*a^5*b^5*c^2*d^8 + 4*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 91*(165*b^10*c^8*d^2 + 120*a*b^9*c^7*d^3 + 84*a^2*b^8*c^6*d^4 + 56*a^3*b^7*c^5*d^5 + 35*a^4*b^6*c^4*d^6 + 20*a^5*b^5*c^3*d^7 + 10*a^6*b^4*c^2*d^8 + 4*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 14*(220*b^10*c^9*d + 165*a*b^9*c^8*d^2 + 120*a^2*b^8*c^7*d^3 + 84*a^3*b^7*c^6*d^4 + 56*a^4*b^6*c^5*d^5 + 35*a^5*b^5*c^4*d^6 + 20*a^6*b^4*c^3*d^7 + 10*a^7*b^3*c^2*d^8 + 4*a^8*b^2*c*d^9 + a^9*b*d^10)*x)/(b^25*x^14 + 14*a*b^24*x^13 + 91*a^2*b^23*x^12 + 364*a^3*b^22*x^11 + 1001*a^4*b^21*x^10 + 2002*a^5*b^20*x^9 + 3003*a^6*b^19*x^8 + 3432*a^7*b^18*x^7 + 3003*a^8*b^17*x^6 + 2002*a^9*b^16*x^5 + 1001*a^10*b^15*x^4 + 364*a^11*b^14*x^3 + 91*a^12*b^13*x^2 + 14*a^13*b^12*x + a^14*b^11)","B",0
1327,1,1019,0,2.257127," ","integrate((d*x+c)^10/(b*x+a)^16,x, algorithm=""maxima"")","-\frac{3003 \, b^{10} d^{10} x^{10} + 1001 \, b^{10} c^{10} + 715 \, a b^{9} c^{9} d + 495 \, a^{2} b^{8} c^{8} d^{2} + 330 \, a^{3} b^{7} c^{7} d^{3} + 210 \, a^{4} b^{6} c^{6} d^{4} + 126 \, a^{5} b^{5} c^{5} d^{5} + 70 \, a^{6} b^{4} c^{4} d^{6} + 35 \, a^{7} b^{3} c^{3} d^{7} + 15 \, a^{8} b^{2} c^{2} d^{8} + 5 \, a^{9} b c d^{9} + a^{10} d^{10} + 5005 \, {\left(5 \, b^{10} c d^{9} + a b^{9} d^{10}\right)} x^{9} + 6435 \, {\left(15 \, b^{10} c^{2} d^{8} + 5 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 6435 \, {\left(35 \, b^{10} c^{3} d^{7} + 15 \, a b^{9} c^{2} d^{8} + 5 \, a^{2} b^{8} c d^{9} + a^{3} b^{7} d^{10}\right)} x^{7} + 5005 \, {\left(70 \, b^{10} c^{4} d^{6} + 35 \, a b^{9} c^{3} d^{7} + 15 \, a^{2} b^{8} c^{2} d^{8} + 5 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 3003 \, {\left(126 \, b^{10} c^{5} d^{5} + 70 \, a b^{9} c^{4} d^{6} + 35 \, a^{2} b^{8} c^{3} d^{7} + 15 \, a^{3} b^{7} c^{2} d^{8} + 5 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} x^{5} + 1365 \, {\left(210 \, b^{10} c^{6} d^{4} + 126 \, a b^{9} c^{5} d^{5} + 70 \, a^{2} b^{8} c^{4} d^{6} + 35 \, a^{3} b^{7} c^{3} d^{7} + 15 \, a^{4} b^{6} c^{2} d^{8} + 5 \, a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 455 \, {\left(330 \, b^{10} c^{7} d^{3} + 210 \, a b^{9} c^{6} d^{4} + 126 \, a^{2} b^{8} c^{5} d^{5} + 70 \, a^{3} b^{7} c^{4} d^{6} + 35 \, a^{4} b^{6} c^{3} d^{7} + 15 \, a^{5} b^{5} c^{2} d^{8} + 5 \, a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} x^{3} + 105 \, {\left(495 \, b^{10} c^{8} d^{2} + 330 \, a b^{9} c^{7} d^{3} + 210 \, a^{2} b^{8} c^{6} d^{4} + 126 \, a^{3} b^{7} c^{5} d^{5} + 70 \, a^{4} b^{6} c^{4} d^{6} + 35 \, a^{5} b^{5} c^{3} d^{7} + 15 \, a^{6} b^{4} c^{2} d^{8} + 5 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 15 \, {\left(715 \, b^{10} c^{9} d + 495 \, a b^{9} c^{8} d^{2} + 330 \, a^{2} b^{8} c^{7} d^{3} + 210 \, a^{3} b^{7} c^{6} d^{4} + 126 \, a^{4} b^{6} c^{5} d^{5} + 70 \, a^{5} b^{5} c^{4} d^{6} + 35 \, a^{6} b^{4} c^{3} d^{7} + 15 \, a^{7} b^{3} c^{2} d^{8} + 5 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x}{15015 \, {\left(b^{26} x^{15} + 15 \, a b^{25} x^{14} + 105 \, a^{2} b^{24} x^{13} + 455 \, a^{3} b^{23} x^{12} + 1365 \, a^{4} b^{22} x^{11} + 3003 \, a^{5} b^{21} x^{10} + 5005 \, a^{6} b^{20} x^{9} + 6435 \, a^{7} b^{19} x^{8} + 6435 \, a^{8} b^{18} x^{7} + 5005 \, a^{9} b^{17} x^{6} + 3003 \, a^{10} b^{16} x^{5} + 1365 \, a^{11} b^{15} x^{4} + 455 \, a^{12} b^{14} x^{3} + 105 \, a^{13} b^{13} x^{2} + 15 \, a^{14} b^{12} x + a^{15} b^{11}\right)}}"," ",0,"-1/15015*(3003*b^10*d^10*x^10 + 1001*b^10*c^10 + 715*a*b^9*c^9*d + 495*a^2*b^8*c^8*d^2 + 330*a^3*b^7*c^7*d^3 + 210*a^4*b^6*c^6*d^4 + 126*a^5*b^5*c^5*d^5 + 70*a^6*b^4*c^4*d^6 + 35*a^7*b^3*c^3*d^7 + 15*a^8*b^2*c^2*d^8 + 5*a^9*b*c*d^9 + a^10*d^10 + 5005*(5*b^10*c*d^9 + a*b^9*d^10)*x^9 + 6435*(15*b^10*c^2*d^8 + 5*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 6435*(35*b^10*c^3*d^7 + 15*a*b^9*c^2*d^8 + 5*a^2*b^8*c*d^9 + a^3*b^7*d^10)*x^7 + 5005*(70*b^10*c^4*d^6 + 35*a*b^9*c^3*d^7 + 15*a^2*b^8*c^2*d^8 + 5*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 3003*(126*b^10*c^5*d^5 + 70*a*b^9*c^4*d^6 + 35*a^2*b^8*c^3*d^7 + 15*a^3*b^7*c^2*d^8 + 5*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 1365*(210*b^10*c^6*d^4 + 126*a*b^9*c^5*d^5 + 70*a^2*b^8*c^4*d^6 + 35*a^3*b^7*c^3*d^7 + 15*a^4*b^6*c^2*d^8 + 5*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 455*(330*b^10*c^7*d^3 + 210*a*b^9*c^6*d^4 + 126*a^2*b^8*c^5*d^5 + 70*a^3*b^7*c^4*d^6 + 35*a^4*b^6*c^3*d^7 + 15*a^5*b^5*c^2*d^8 + 5*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 105*(495*b^10*c^8*d^2 + 330*a*b^9*c^7*d^3 + 210*a^2*b^8*c^6*d^4 + 126*a^3*b^7*c^5*d^5 + 70*a^4*b^6*c^4*d^6 + 35*a^5*b^5*c^3*d^7 + 15*a^6*b^4*c^2*d^8 + 5*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 15*(715*b^10*c^9*d + 495*a*b^9*c^8*d^2 + 330*a^2*b^8*c^7*d^3 + 210*a^3*b^7*c^6*d^4 + 126*a^4*b^6*c^5*d^5 + 70*a^5*b^5*c^4*d^6 + 35*a^6*b^4*c^3*d^7 + 15*a^7*b^3*c^2*d^8 + 5*a^8*b^2*c*d^9 + a^9*b*d^10)*x)/(b^26*x^15 + 15*a*b^25*x^14 + 105*a^2*b^24*x^13 + 455*a^3*b^23*x^12 + 1365*a^4*b^22*x^11 + 3003*a^5*b^21*x^10 + 5005*a^6*b^20*x^9 + 6435*a^7*b^19*x^8 + 6435*a^8*b^18*x^7 + 5005*a^9*b^17*x^6 + 3003*a^10*b^16*x^5 + 1365*a^11*b^15*x^4 + 455*a^12*b^14*x^3 + 105*a^13*b^13*x^2 + 15*a^14*b^12*x + a^15*b^11)","B",0
1328,1,1030,0,2.266462," ","integrate((d*x+c)^10/(b*x+a)^17,x, algorithm=""maxima"")","-\frac{8008 \, b^{10} d^{10} x^{10} + 3003 \, b^{10} c^{10} + 2002 \, a b^{9} c^{9} d + 1287 \, a^{2} b^{8} c^{8} d^{2} + 792 \, a^{3} b^{7} c^{7} d^{3} + 462 \, a^{4} b^{6} c^{6} d^{4} + 252 \, a^{5} b^{5} c^{5} d^{5} + 126 \, a^{6} b^{4} c^{4} d^{6} + 56 \, a^{7} b^{3} c^{3} d^{7} + 21 \, a^{8} b^{2} c^{2} d^{8} + 6 \, a^{9} b c d^{9} + a^{10} d^{10} + 11440 \, {\left(6 \, b^{10} c d^{9} + a b^{9} d^{10}\right)} x^{9} + 12870 \, {\left(21 \, b^{10} c^{2} d^{8} + 6 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 11440 \, {\left(56 \, b^{10} c^{3} d^{7} + 21 \, a b^{9} c^{2} d^{8} + 6 \, a^{2} b^{8} c d^{9} + a^{3} b^{7} d^{10}\right)} x^{7} + 8008 \, {\left(126 \, b^{10} c^{4} d^{6} + 56 \, a b^{9} c^{3} d^{7} + 21 \, a^{2} b^{8} c^{2} d^{8} + 6 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 4368 \, {\left(252 \, b^{10} c^{5} d^{5} + 126 \, a b^{9} c^{4} d^{6} + 56 \, a^{2} b^{8} c^{3} d^{7} + 21 \, a^{3} b^{7} c^{2} d^{8} + 6 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} x^{5} + 1820 \, {\left(462 \, b^{10} c^{6} d^{4} + 252 \, a b^{9} c^{5} d^{5} + 126 \, a^{2} b^{8} c^{4} d^{6} + 56 \, a^{3} b^{7} c^{3} d^{7} + 21 \, a^{4} b^{6} c^{2} d^{8} + 6 \, a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 560 \, {\left(792 \, b^{10} c^{7} d^{3} + 462 \, a b^{9} c^{6} d^{4} + 252 \, a^{2} b^{8} c^{5} d^{5} + 126 \, a^{3} b^{7} c^{4} d^{6} + 56 \, a^{4} b^{6} c^{3} d^{7} + 21 \, a^{5} b^{5} c^{2} d^{8} + 6 \, a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} x^{3} + 120 \, {\left(1287 \, b^{10} c^{8} d^{2} + 792 \, a b^{9} c^{7} d^{3} + 462 \, a^{2} b^{8} c^{6} d^{4} + 252 \, a^{3} b^{7} c^{5} d^{5} + 126 \, a^{4} b^{6} c^{4} d^{6} + 56 \, a^{5} b^{5} c^{3} d^{7} + 21 \, a^{6} b^{4} c^{2} d^{8} + 6 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 16 \, {\left(2002 \, b^{10} c^{9} d + 1287 \, a b^{9} c^{8} d^{2} + 792 \, a^{2} b^{8} c^{7} d^{3} + 462 \, a^{3} b^{7} c^{6} d^{4} + 252 \, a^{4} b^{6} c^{5} d^{5} + 126 \, a^{5} b^{5} c^{4} d^{6} + 56 \, a^{6} b^{4} c^{3} d^{7} + 21 \, a^{7} b^{3} c^{2} d^{8} + 6 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x}{48048 \, {\left(b^{27} x^{16} + 16 \, a b^{26} x^{15} + 120 \, a^{2} b^{25} x^{14} + 560 \, a^{3} b^{24} x^{13} + 1820 \, a^{4} b^{23} x^{12} + 4368 \, a^{5} b^{22} x^{11} + 8008 \, a^{6} b^{21} x^{10} + 11440 \, a^{7} b^{20} x^{9} + 12870 \, a^{8} b^{19} x^{8} + 11440 \, a^{9} b^{18} x^{7} + 8008 \, a^{10} b^{17} x^{6} + 4368 \, a^{11} b^{16} x^{5} + 1820 \, a^{12} b^{15} x^{4} + 560 \, a^{13} b^{14} x^{3} + 120 \, a^{14} b^{13} x^{2} + 16 \, a^{15} b^{12} x + a^{16} b^{11}\right)}}"," ",0,"-1/48048*(8008*b^10*d^10*x^10 + 3003*b^10*c^10 + 2002*a*b^9*c^9*d + 1287*a^2*b^8*c^8*d^2 + 792*a^3*b^7*c^7*d^3 + 462*a^4*b^6*c^6*d^4 + 252*a^5*b^5*c^5*d^5 + 126*a^6*b^4*c^4*d^6 + 56*a^7*b^3*c^3*d^7 + 21*a^8*b^2*c^2*d^8 + 6*a^9*b*c*d^9 + a^10*d^10 + 11440*(6*b^10*c*d^9 + a*b^9*d^10)*x^9 + 12870*(21*b^10*c^2*d^8 + 6*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 11440*(56*b^10*c^3*d^7 + 21*a*b^9*c^2*d^8 + 6*a^2*b^8*c*d^9 + a^3*b^7*d^10)*x^7 + 8008*(126*b^10*c^4*d^6 + 56*a*b^9*c^3*d^7 + 21*a^2*b^8*c^2*d^8 + 6*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 4368*(252*b^10*c^5*d^5 + 126*a*b^9*c^4*d^6 + 56*a^2*b^8*c^3*d^7 + 21*a^3*b^7*c^2*d^8 + 6*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 1820*(462*b^10*c^6*d^4 + 252*a*b^9*c^5*d^5 + 126*a^2*b^8*c^4*d^6 + 56*a^3*b^7*c^3*d^7 + 21*a^4*b^6*c^2*d^8 + 6*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 560*(792*b^10*c^7*d^3 + 462*a*b^9*c^6*d^4 + 252*a^2*b^8*c^5*d^5 + 126*a^3*b^7*c^4*d^6 + 56*a^4*b^6*c^3*d^7 + 21*a^5*b^5*c^2*d^8 + 6*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 120*(1287*b^10*c^8*d^2 + 792*a*b^9*c^7*d^3 + 462*a^2*b^8*c^6*d^4 + 252*a^3*b^7*c^5*d^5 + 126*a^4*b^6*c^4*d^6 + 56*a^5*b^5*c^3*d^7 + 21*a^6*b^4*c^2*d^8 + 6*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 16*(2002*b^10*c^9*d + 1287*a*b^9*c^8*d^2 + 792*a^2*b^8*c^7*d^3 + 462*a^3*b^7*c^6*d^4 + 252*a^4*b^6*c^5*d^5 + 126*a^5*b^5*c^4*d^6 + 56*a^6*b^4*c^3*d^7 + 21*a^7*b^3*c^2*d^8 + 6*a^8*b^2*c*d^9 + a^9*b*d^10)*x)/(b^27*x^16 + 16*a*b^26*x^15 + 120*a^2*b^25*x^14 + 560*a^3*b^24*x^13 + 1820*a^4*b^23*x^12 + 4368*a^5*b^22*x^11 + 8008*a^6*b^21*x^10 + 11440*a^7*b^20*x^9 + 12870*a^8*b^19*x^8 + 11440*a^9*b^18*x^7 + 8008*a^10*b^17*x^6 + 4368*a^11*b^16*x^5 + 1820*a^12*b^15*x^4 + 560*a^13*b^14*x^3 + 120*a^14*b^13*x^2 + 16*a^15*b^12*x + a^16*b^11)","B",0
1329,1,1041,0,2.292664," ","integrate((d*x+c)^10/(b*x+a)^18,x, algorithm=""maxima"")","-\frac{19448 \, b^{10} d^{10} x^{10} + 8008 \, b^{10} c^{10} + 5005 \, a b^{9} c^{9} d + 3003 \, a^{2} b^{8} c^{8} d^{2} + 1716 \, a^{3} b^{7} c^{7} d^{3} + 924 \, a^{4} b^{6} c^{6} d^{4} + 462 \, a^{5} b^{5} c^{5} d^{5} + 210 \, a^{6} b^{4} c^{4} d^{6} + 84 \, a^{7} b^{3} c^{3} d^{7} + 28 \, a^{8} b^{2} c^{2} d^{8} + 7 \, a^{9} b c d^{9} + a^{10} d^{10} + 24310 \, {\left(7 \, b^{10} c d^{9} + a b^{9} d^{10}\right)} x^{9} + 24310 \, {\left(28 \, b^{10} c^{2} d^{8} + 7 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 19448 \, {\left(84 \, b^{10} c^{3} d^{7} + 28 \, a b^{9} c^{2} d^{8} + 7 \, a^{2} b^{8} c d^{9} + a^{3} b^{7} d^{10}\right)} x^{7} + 12376 \, {\left(210 \, b^{10} c^{4} d^{6} + 84 \, a b^{9} c^{3} d^{7} + 28 \, a^{2} b^{8} c^{2} d^{8} + 7 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 6188 \, {\left(462 \, b^{10} c^{5} d^{5} + 210 \, a b^{9} c^{4} d^{6} + 84 \, a^{2} b^{8} c^{3} d^{7} + 28 \, a^{3} b^{7} c^{2} d^{8} + 7 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} x^{5} + 2380 \, {\left(924 \, b^{10} c^{6} d^{4} + 462 \, a b^{9} c^{5} d^{5} + 210 \, a^{2} b^{8} c^{4} d^{6} + 84 \, a^{3} b^{7} c^{3} d^{7} + 28 \, a^{4} b^{6} c^{2} d^{8} + 7 \, a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 680 \, {\left(1716 \, b^{10} c^{7} d^{3} + 924 \, a b^{9} c^{6} d^{4} + 462 \, a^{2} b^{8} c^{5} d^{5} + 210 \, a^{3} b^{7} c^{4} d^{6} + 84 \, a^{4} b^{6} c^{3} d^{7} + 28 \, a^{5} b^{5} c^{2} d^{8} + 7 \, a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} x^{3} + 136 \, {\left(3003 \, b^{10} c^{8} d^{2} + 1716 \, a b^{9} c^{7} d^{3} + 924 \, a^{2} b^{8} c^{6} d^{4} + 462 \, a^{3} b^{7} c^{5} d^{5} + 210 \, a^{4} b^{6} c^{4} d^{6} + 84 \, a^{5} b^{5} c^{3} d^{7} + 28 \, a^{6} b^{4} c^{2} d^{8} + 7 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 17 \, {\left(5005 \, b^{10} c^{9} d + 3003 \, a b^{9} c^{8} d^{2} + 1716 \, a^{2} b^{8} c^{7} d^{3} + 924 \, a^{3} b^{7} c^{6} d^{4} + 462 \, a^{4} b^{6} c^{5} d^{5} + 210 \, a^{5} b^{5} c^{4} d^{6} + 84 \, a^{6} b^{4} c^{3} d^{7} + 28 \, a^{7} b^{3} c^{2} d^{8} + 7 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x}{136136 \, {\left(b^{28} x^{17} + 17 \, a b^{27} x^{16} + 136 \, a^{2} b^{26} x^{15} + 680 \, a^{3} b^{25} x^{14} + 2380 \, a^{4} b^{24} x^{13} + 6188 \, a^{5} b^{23} x^{12} + 12376 \, a^{6} b^{22} x^{11} + 19448 \, a^{7} b^{21} x^{10} + 24310 \, a^{8} b^{20} x^{9} + 24310 \, a^{9} b^{19} x^{8} + 19448 \, a^{10} b^{18} x^{7} + 12376 \, a^{11} b^{17} x^{6} + 6188 \, a^{12} b^{16} x^{5} + 2380 \, a^{13} b^{15} x^{4} + 680 \, a^{14} b^{14} x^{3} + 136 \, a^{15} b^{13} x^{2} + 17 \, a^{16} b^{12} x + a^{17} b^{11}\right)}}"," ",0,"-1/136136*(19448*b^10*d^10*x^10 + 8008*b^10*c^10 + 5005*a*b^9*c^9*d + 3003*a^2*b^8*c^8*d^2 + 1716*a^3*b^7*c^7*d^3 + 924*a^4*b^6*c^6*d^4 + 462*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 + 84*a^7*b^3*c^3*d^7 + 28*a^8*b^2*c^2*d^8 + 7*a^9*b*c*d^9 + a^10*d^10 + 24310*(7*b^10*c*d^9 + a*b^9*d^10)*x^9 + 24310*(28*b^10*c^2*d^8 + 7*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 19448*(84*b^10*c^3*d^7 + 28*a*b^9*c^2*d^8 + 7*a^2*b^8*c*d^9 + a^3*b^7*d^10)*x^7 + 12376*(210*b^10*c^4*d^6 + 84*a*b^9*c^3*d^7 + 28*a^2*b^8*c^2*d^8 + 7*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 6188*(462*b^10*c^5*d^5 + 210*a*b^9*c^4*d^6 + 84*a^2*b^8*c^3*d^7 + 28*a^3*b^7*c^2*d^8 + 7*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 2380*(924*b^10*c^6*d^4 + 462*a*b^9*c^5*d^5 + 210*a^2*b^8*c^4*d^6 + 84*a^3*b^7*c^3*d^7 + 28*a^4*b^6*c^2*d^8 + 7*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 680*(1716*b^10*c^7*d^3 + 924*a*b^9*c^6*d^4 + 462*a^2*b^8*c^5*d^5 + 210*a^3*b^7*c^4*d^6 + 84*a^4*b^6*c^3*d^7 + 28*a^5*b^5*c^2*d^8 + 7*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 136*(3003*b^10*c^8*d^2 + 1716*a*b^9*c^7*d^3 + 924*a^2*b^8*c^6*d^4 + 462*a^3*b^7*c^5*d^5 + 210*a^4*b^6*c^4*d^6 + 84*a^5*b^5*c^3*d^7 + 28*a^6*b^4*c^2*d^8 + 7*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 17*(5005*b^10*c^9*d + 3003*a*b^9*c^8*d^2 + 1716*a^2*b^8*c^7*d^3 + 924*a^3*b^7*c^6*d^4 + 462*a^4*b^6*c^5*d^5 + 210*a^5*b^5*c^4*d^6 + 84*a^6*b^4*c^3*d^7 + 28*a^7*b^3*c^2*d^8 + 7*a^8*b^2*c*d^9 + a^9*b*d^10)*x)/(b^28*x^17 + 17*a*b^27*x^16 + 136*a^2*b^26*x^15 + 680*a^3*b^25*x^14 + 2380*a^4*b^24*x^13 + 6188*a^5*b^23*x^12 + 12376*a^6*b^22*x^11 + 19448*a^7*b^21*x^10 + 24310*a^8*b^20*x^9 + 24310*a^9*b^19*x^8 + 19448*a^10*b^18*x^7 + 12376*a^11*b^17*x^6 + 6188*a^12*b^16*x^5 + 2380*a^13*b^15*x^4 + 680*a^14*b^14*x^3 + 136*a^15*b^13*x^2 + 17*a^16*b^12*x + a^17*b^11)","B",0
1330,1,1052,0,2.544969," ","integrate((d*x+c)^10/(b*x+a)^19,x, algorithm=""maxima"")","-\frac{43758 \, b^{10} d^{10} x^{10} + 19448 \, b^{10} c^{10} + 11440 \, a b^{9} c^{9} d + 6435 \, a^{2} b^{8} c^{8} d^{2} + 3432 \, a^{3} b^{7} c^{7} d^{3} + 1716 \, a^{4} b^{6} c^{6} d^{4} + 792 \, a^{5} b^{5} c^{5} d^{5} + 330 \, a^{6} b^{4} c^{4} d^{6} + 120 \, a^{7} b^{3} c^{3} d^{7} + 36 \, a^{8} b^{2} c^{2} d^{8} + 8 \, a^{9} b c d^{9} + a^{10} d^{10} + 48620 \, {\left(8 \, b^{10} c d^{9} + a b^{9} d^{10}\right)} x^{9} + 43758 \, {\left(36 \, b^{10} c^{2} d^{8} + 8 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 31824 \, {\left(120 \, b^{10} c^{3} d^{7} + 36 \, a b^{9} c^{2} d^{8} + 8 \, a^{2} b^{8} c d^{9} + a^{3} b^{7} d^{10}\right)} x^{7} + 18564 \, {\left(330 \, b^{10} c^{4} d^{6} + 120 \, a b^{9} c^{3} d^{7} + 36 \, a^{2} b^{8} c^{2} d^{8} + 8 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 8568 \, {\left(792 \, b^{10} c^{5} d^{5} + 330 \, a b^{9} c^{4} d^{6} + 120 \, a^{2} b^{8} c^{3} d^{7} + 36 \, a^{3} b^{7} c^{2} d^{8} + 8 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} x^{5} + 3060 \, {\left(1716 \, b^{10} c^{6} d^{4} + 792 \, a b^{9} c^{5} d^{5} + 330 \, a^{2} b^{8} c^{4} d^{6} + 120 \, a^{3} b^{7} c^{3} d^{7} + 36 \, a^{4} b^{6} c^{2} d^{8} + 8 \, a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 816 \, {\left(3432 \, b^{10} c^{7} d^{3} + 1716 \, a b^{9} c^{6} d^{4} + 792 \, a^{2} b^{8} c^{5} d^{5} + 330 \, a^{3} b^{7} c^{4} d^{6} + 120 \, a^{4} b^{6} c^{3} d^{7} + 36 \, a^{5} b^{5} c^{2} d^{8} + 8 \, a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} x^{3} + 153 \, {\left(6435 \, b^{10} c^{8} d^{2} + 3432 \, a b^{9} c^{7} d^{3} + 1716 \, a^{2} b^{8} c^{6} d^{4} + 792 \, a^{3} b^{7} c^{5} d^{5} + 330 \, a^{4} b^{6} c^{4} d^{6} + 120 \, a^{5} b^{5} c^{3} d^{7} + 36 \, a^{6} b^{4} c^{2} d^{8} + 8 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 18 \, {\left(11440 \, b^{10} c^{9} d + 6435 \, a b^{9} c^{8} d^{2} + 3432 \, a^{2} b^{8} c^{7} d^{3} + 1716 \, a^{3} b^{7} c^{6} d^{4} + 792 \, a^{4} b^{6} c^{5} d^{5} + 330 \, a^{5} b^{5} c^{4} d^{6} + 120 \, a^{6} b^{4} c^{3} d^{7} + 36 \, a^{7} b^{3} c^{2} d^{8} + 8 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x}{350064 \, {\left(b^{29} x^{18} + 18 \, a b^{28} x^{17} + 153 \, a^{2} b^{27} x^{16} + 816 \, a^{3} b^{26} x^{15} + 3060 \, a^{4} b^{25} x^{14} + 8568 \, a^{5} b^{24} x^{13} + 18564 \, a^{6} b^{23} x^{12} + 31824 \, a^{7} b^{22} x^{11} + 43758 \, a^{8} b^{21} x^{10} + 48620 \, a^{9} b^{20} x^{9} + 43758 \, a^{10} b^{19} x^{8} + 31824 \, a^{11} b^{18} x^{7} + 18564 \, a^{12} b^{17} x^{6} + 8568 \, a^{13} b^{16} x^{5} + 3060 \, a^{14} b^{15} x^{4} + 816 \, a^{15} b^{14} x^{3} + 153 \, a^{16} b^{13} x^{2} + 18 \, a^{17} b^{12} x + a^{18} b^{11}\right)}}"," ",0,"-1/350064*(43758*b^10*d^10*x^10 + 19448*b^10*c^10 + 11440*a*b^9*c^9*d + 6435*a^2*b^8*c^8*d^2 + 3432*a^3*b^7*c^7*d^3 + 1716*a^4*b^6*c^6*d^4 + 792*a^5*b^5*c^5*d^5 + 330*a^6*b^4*c^4*d^6 + 120*a^7*b^3*c^3*d^7 + 36*a^8*b^2*c^2*d^8 + 8*a^9*b*c*d^9 + a^10*d^10 + 48620*(8*b^10*c*d^9 + a*b^9*d^10)*x^9 + 43758*(36*b^10*c^2*d^8 + 8*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 31824*(120*b^10*c^3*d^7 + 36*a*b^9*c^2*d^8 + 8*a^2*b^8*c*d^9 + a^3*b^7*d^10)*x^7 + 18564*(330*b^10*c^4*d^6 + 120*a*b^9*c^3*d^7 + 36*a^2*b^8*c^2*d^8 + 8*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 8568*(792*b^10*c^5*d^5 + 330*a*b^9*c^4*d^6 + 120*a^2*b^8*c^3*d^7 + 36*a^3*b^7*c^2*d^8 + 8*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 3060*(1716*b^10*c^6*d^4 + 792*a*b^9*c^5*d^5 + 330*a^2*b^8*c^4*d^6 + 120*a^3*b^7*c^3*d^7 + 36*a^4*b^6*c^2*d^8 + 8*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 816*(3432*b^10*c^7*d^3 + 1716*a*b^9*c^6*d^4 + 792*a^2*b^8*c^5*d^5 + 330*a^3*b^7*c^4*d^6 + 120*a^4*b^6*c^3*d^7 + 36*a^5*b^5*c^2*d^8 + 8*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 153*(6435*b^10*c^8*d^2 + 3432*a*b^9*c^7*d^3 + 1716*a^2*b^8*c^6*d^4 + 792*a^3*b^7*c^5*d^5 + 330*a^4*b^6*c^4*d^6 + 120*a^5*b^5*c^3*d^7 + 36*a^6*b^4*c^2*d^8 + 8*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 18*(11440*b^10*c^9*d + 6435*a*b^9*c^8*d^2 + 3432*a^2*b^8*c^7*d^3 + 1716*a^3*b^7*c^6*d^4 + 792*a^4*b^6*c^5*d^5 + 330*a^5*b^5*c^4*d^6 + 120*a^6*b^4*c^3*d^7 + 36*a^7*b^3*c^2*d^8 + 8*a^8*b^2*c*d^9 + a^9*b*d^10)*x)/(b^29*x^18 + 18*a*b^28*x^17 + 153*a^2*b^27*x^16 + 816*a^3*b^26*x^15 + 3060*a^4*b^25*x^14 + 8568*a^5*b^24*x^13 + 18564*a^6*b^23*x^12 + 31824*a^7*b^22*x^11 + 43758*a^8*b^21*x^10 + 48620*a^9*b^20*x^9 + 43758*a^10*b^19*x^8 + 31824*a^11*b^18*x^7 + 18564*a^12*b^17*x^6 + 8568*a^13*b^16*x^5 + 3060*a^14*b^15*x^4 + 816*a^15*b^14*x^3 + 153*a^16*b^13*x^2 + 18*a^17*b^12*x + a^18*b^11)","B",0
1331,1,1063,0,2.454175," ","integrate((d*x+c)^10/(b*x+a)^20,x, algorithm=""maxima"")","-\frac{92378 \, b^{10} d^{10} x^{10} + 43758 \, b^{10} c^{10} + 24310 \, a b^{9} c^{9} d + 12870 \, a^{2} b^{8} c^{8} d^{2} + 6435 \, a^{3} b^{7} c^{7} d^{3} + 3003 \, a^{4} b^{6} c^{6} d^{4} + 1287 \, a^{5} b^{5} c^{5} d^{5} + 495 \, a^{6} b^{4} c^{4} d^{6} + 165 \, a^{7} b^{3} c^{3} d^{7} + 45 \, a^{8} b^{2} c^{2} d^{8} + 9 \, a^{9} b c d^{9} + a^{10} d^{10} + 92378 \, {\left(9 \, b^{10} c d^{9} + a b^{9} d^{10}\right)} x^{9} + 75582 \, {\left(45 \, b^{10} c^{2} d^{8} + 9 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 50388 \, {\left(165 \, b^{10} c^{3} d^{7} + 45 \, a b^{9} c^{2} d^{8} + 9 \, a^{2} b^{8} c d^{9} + a^{3} b^{7} d^{10}\right)} x^{7} + 27132 \, {\left(495 \, b^{10} c^{4} d^{6} + 165 \, a b^{9} c^{3} d^{7} + 45 \, a^{2} b^{8} c^{2} d^{8} + 9 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 11628 \, {\left(1287 \, b^{10} c^{5} d^{5} + 495 \, a b^{9} c^{4} d^{6} + 165 \, a^{2} b^{8} c^{3} d^{7} + 45 \, a^{3} b^{7} c^{2} d^{8} + 9 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} x^{5} + 3876 \, {\left(3003 \, b^{10} c^{6} d^{4} + 1287 \, a b^{9} c^{5} d^{5} + 495 \, a^{2} b^{8} c^{4} d^{6} + 165 \, a^{3} b^{7} c^{3} d^{7} + 45 \, a^{4} b^{6} c^{2} d^{8} + 9 \, a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 969 \, {\left(6435 \, b^{10} c^{7} d^{3} + 3003 \, a b^{9} c^{6} d^{4} + 1287 \, a^{2} b^{8} c^{5} d^{5} + 495 \, a^{3} b^{7} c^{4} d^{6} + 165 \, a^{4} b^{6} c^{3} d^{7} + 45 \, a^{5} b^{5} c^{2} d^{8} + 9 \, a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} x^{3} + 171 \, {\left(12870 \, b^{10} c^{8} d^{2} + 6435 \, a b^{9} c^{7} d^{3} + 3003 \, a^{2} b^{8} c^{6} d^{4} + 1287 \, a^{3} b^{7} c^{5} d^{5} + 495 \, a^{4} b^{6} c^{4} d^{6} + 165 \, a^{5} b^{5} c^{3} d^{7} + 45 \, a^{6} b^{4} c^{2} d^{8} + 9 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 19 \, {\left(24310 \, b^{10} c^{9} d + 12870 \, a b^{9} c^{8} d^{2} + 6435 \, a^{2} b^{8} c^{7} d^{3} + 3003 \, a^{3} b^{7} c^{6} d^{4} + 1287 \, a^{4} b^{6} c^{5} d^{5} + 495 \, a^{5} b^{5} c^{4} d^{6} + 165 \, a^{6} b^{4} c^{3} d^{7} + 45 \, a^{7} b^{3} c^{2} d^{8} + 9 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x}{831402 \, {\left(b^{30} x^{19} + 19 \, a b^{29} x^{18} + 171 \, a^{2} b^{28} x^{17} + 969 \, a^{3} b^{27} x^{16} + 3876 \, a^{4} b^{26} x^{15} + 11628 \, a^{5} b^{25} x^{14} + 27132 \, a^{6} b^{24} x^{13} + 50388 \, a^{7} b^{23} x^{12} + 75582 \, a^{8} b^{22} x^{11} + 92378 \, a^{9} b^{21} x^{10} + 92378 \, a^{10} b^{20} x^{9} + 75582 \, a^{11} b^{19} x^{8} + 50388 \, a^{12} b^{18} x^{7} + 27132 \, a^{13} b^{17} x^{6} + 11628 \, a^{14} b^{16} x^{5} + 3876 \, a^{15} b^{15} x^{4} + 969 \, a^{16} b^{14} x^{3} + 171 \, a^{17} b^{13} x^{2} + 19 \, a^{18} b^{12} x + a^{19} b^{11}\right)}}"," ",0,"-1/831402*(92378*b^10*d^10*x^10 + 43758*b^10*c^10 + 24310*a*b^9*c^9*d + 12870*a^2*b^8*c^8*d^2 + 6435*a^3*b^7*c^7*d^3 + 3003*a^4*b^6*c^6*d^4 + 1287*a^5*b^5*c^5*d^5 + 495*a^6*b^4*c^4*d^6 + 165*a^7*b^3*c^3*d^7 + 45*a^8*b^2*c^2*d^8 + 9*a^9*b*c*d^9 + a^10*d^10 + 92378*(9*b^10*c*d^9 + a*b^9*d^10)*x^9 + 75582*(45*b^10*c^2*d^8 + 9*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 50388*(165*b^10*c^3*d^7 + 45*a*b^9*c^2*d^8 + 9*a^2*b^8*c*d^9 + a^3*b^7*d^10)*x^7 + 27132*(495*b^10*c^4*d^6 + 165*a*b^9*c^3*d^7 + 45*a^2*b^8*c^2*d^8 + 9*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 11628*(1287*b^10*c^5*d^5 + 495*a*b^9*c^4*d^6 + 165*a^2*b^8*c^3*d^7 + 45*a^3*b^7*c^2*d^8 + 9*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 3876*(3003*b^10*c^6*d^4 + 1287*a*b^9*c^5*d^5 + 495*a^2*b^8*c^4*d^6 + 165*a^3*b^7*c^3*d^7 + 45*a^4*b^6*c^2*d^8 + 9*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 969*(6435*b^10*c^7*d^3 + 3003*a*b^9*c^6*d^4 + 1287*a^2*b^8*c^5*d^5 + 495*a^3*b^7*c^4*d^6 + 165*a^4*b^6*c^3*d^7 + 45*a^5*b^5*c^2*d^8 + 9*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 171*(12870*b^10*c^8*d^2 + 6435*a*b^9*c^7*d^3 + 3003*a^2*b^8*c^6*d^4 + 1287*a^3*b^7*c^5*d^5 + 495*a^4*b^6*c^4*d^6 + 165*a^5*b^5*c^3*d^7 + 45*a^6*b^4*c^2*d^8 + 9*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 19*(24310*b^10*c^9*d + 12870*a*b^9*c^8*d^2 + 6435*a^2*b^8*c^7*d^3 + 3003*a^3*b^7*c^6*d^4 + 1287*a^4*b^6*c^5*d^5 + 495*a^5*b^5*c^4*d^6 + 165*a^6*b^4*c^3*d^7 + 45*a^7*b^3*c^2*d^8 + 9*a^8*b^2*c*d^9 + a^9*b*d^10)*x)/(b^30*x^19 + 19*a*b^29*x^18 + 171*a^2*b^28*x^17 + 969*a^3*b^27*x^16 + 3876*a^4*b^26*x^15 + 11628*a^5*b^25*x^14 + 27132*a^6*b^24*x^13 + 50388*a^7*b^23*x^12 + 75582*a^8*b^22*x^11 + 92378*a^9*b^21*x^10 + 92378*a^10*b^20*x^9 + 75582*a^11*b^19*x^8 + 50388*a^12*b^18*x^7 + 27132*a^13*b^17*x^6 + 11628*a^14*b^16*x^5 + 3876*a^15*b^15*x^4 + 969*a^16*b^14*x^3 + 171*a^17*b^13*x^2 + 19*a^18*b^12*x + a^19*b^11)","B",0
1332,1,1074,0,2.509144," ","integrate((d*x+c)^10/(b*x+a)^21,x, algorithm=""maxima"")","-\frac{184756 \, b^{10} d^{10} x^{10} + 92378 \, b^{10} c^{10} + 48620 \, a b^{9} c^{9} d + 24310 \, a^{2} b^{8} c^{8} d^{2} + 11440 \, a^{3} b^{7} c^{7} d^{3} + 5005 \, a^{4} b^{6} c^{6} d^{4} + 2002 \, a^{5} b^{5} c^{5} d^{5} + 715 \, a^{6} b^{4} c^{4} d^{6} + 220 \, a^{7} b^{3} c^{3} d^{7} + 55 \, a^{8} b^{2} c^{2} d^{8} + 10 \, a^{9} b c d^{9} + a^{10} d^{10} + 167960 \, {\left(10 \, b^{10} c d^{9} + a b^{9} d^{10}\right)} x^{9} + 125970 \, {\left(55 \, b^{10} c^{2} d^{8} + 10 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 77520 \, {\left(220 \, b^{10} c^{3} d^{7} + 55 \, a b^{9} c^{2} d^{8} + 10 \, a^{2} b^{8} c d^{9} + a^{3} b^{7} d^{10}\right)} x^{7} + 38760 \, {\left(715 \, b^{10} c^{4} d^{6} + 220 \, a b^{9} c^{3} d^{7} + 55 \, a^{2} b^{8} c^{2} d^{8} + 10 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 15504 \, {\left(2002 \, b^{10} c^{5} d^{5} + 715 \, a b^{9} c^{4} d^{6} + 220 \, a^{2} b^{8} c^{3} d^{7} + 55 \, a^{3} b^{7} c^{2} d^{8} + 10 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} x^{5} + 4845 \, {\left(5005 \, b^{10} c^{6} d^{4} + 2002 \, a b^{9} c^{5} d^{5} + 715 \, a^{2} b^{8} c^{4} d^{6} + 220 \, a^{3} b^{7} c^{3} d^{7} + 55 \, a^{4} b^{6} c^{2} d^{8} + 10 \, a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 1140 \, {\left(11440 \, b^{10} c^{7} d^{3} + 5005 \, a b^{9} c^{6} d^{4} + 2002 \, a^{2} b^{8} c^{5} d^{5} + 715 \, a^{3} b^{7} c^{4} d^{6} + 220 \, a^{4} b^{6} c^{3} d^{7} + 55 \, a^{5} b^{5} c^{2} d^{8} + 10 \, a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} x^{3} + 190 \, {\left(24310 \, b^{10} c^{8} d^{2} + 11440 \, a b^{9} c^{7} d^{3} + 5005 \, a^{2} b^{8} c^{6} d^{4} + 2002 \, a^{3} b^{7} c^{5} d^{5} + 715 \, a^{4} b^{6} c^{4} d^{6} + 220 \, a^{5} b^{5} c^{3} d^{7} + 55 \, a^{6} b^{4} c^{2} d^{8} + 10 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 20 \, {\left(48620 \, b^{10} c^{9} d + 24310 \, a b^{9} c^{8} d^{2} + 11440 \, a^{2} b^{8} c^{7} d^{3} + 5005 \, a^{3} b^{7} c^{6} d^{4} + 2002 \, a^{4} b^{6} c^{5} d^{5} + 715 \, a^{5} b^{5} c^{4} d^{6} + 220 \, a^{6} b^{4} c^{3} d^{7} + 55 \, a^{7} b^{3} c^{2} d^{8} + 10 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x}{1847560 \, {\left(b^{31} x^{20} + 20 \, a b^{30} x^{19} + 190 \, a^{2} b^{29} x^{18} + 1140 \, a^{3} b^{28} x^{17} + 4845 \, a^{4} b^{27} x^{16} + 15504 \, a^{5} b^{26} x^{15} + 38760 \, a^{6} b^{25} x^{14} + 77520 \, a^{7} b^{24} x^{13} + 125970 \, a^{8} b^{23} x^{12} + 167960 \, a^{9} b^{22} x^{11} + 184756 \, a^{10} b^{21} x^{10} + 167960 \, a^{11} b^{20} x^{9} + 125970 \, a^{12} b^{19} x^{8} + 77520 \, a^{13} b^{18} x^{7} + 38760 \, a^{14} b^{17} x^{6} + 15504 \, a^{15} b^{16} x^{5} + 4845 \, a^{16} b^{15} x^{4} + 1140 \, a^{17} b^{14} x^{3} + 190 \, a^{18} b^{13} x^{2} + 20 \, a^{19} b^{12} x + a^{20} b^{11}\right)}}"," ",0,"-1/1847560*(184756*b^10*d^10*x^10 + 92378*b^10*c^10 + 48620*a*b^9*c^9*d + 24310*a^2*b^8*c^8*d^2 + 11440*a^3*b^7*c^7*d^3 + 5005*a^4*b^6*c^6*d^4 + 2002*a^5*b^5*c^5*d^5 + 715*a^6*b^4*c^4*d^6 + 220*a^7*b^3*c^3*d^7 + 55*a^8*b^2*c^2*d^8 + 10*a^9*b*c*d^9 + a^10*d^10 + 167960*(10*b^10*c*d^9 + a*b^9*d^10)*x^9 + 125970*(55*b^10*c^2*d^8 + 10*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 77520*(220*b^10*c^3*d^7 + 55*a*b^9*c^2*d^8 + 10*a^2*b^8*c*d^9 + a^3*b^7*d^10)*x^7 + 38760*(715*b^10*c^4*d^6 + 220*a*b^9*c^3*d^7 + 55*a^2*b^8*c^2*d^8 + 10*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 15504*(2002*b^10*c^5*d^5 + 715*a*b^9*c^4*d^6 + 220*a^2*b^8*c^3*d^7 + 55*a^3*b^7*c^2*d^8 + 10*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 4845*(5005*b^10*c^6*d^4 + 2002*a*b^9*c^5*d^5 + 715*a^2*b^8*c^4*d^6 + 220*a^3*b^7*c^3*d^7 + 55*a^4*b^6*c^2*d^8 + 10*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 1140*(11440*b^10*c^7*d^3 + 5005*a*b^9*c^6*d^4 + 2002*a^2*b^8*c^5*d^5 + 715*a^3*b^7*c^4*d^6 + 220*a^4*b^6*c^3*d^7 + 55*a^5*b^5*c^2*d^8 + 10*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 190*(24310*b^10*c^8*d^2 + 11440*a*b^9*c^7*d^3 + 5005*a^2*b^8*c^6*d^4 + 2002*a^3*b^7*c^5*d^5 + 715*a^4*b^6*c^4*d^6 + 220*a^5*b^5*c^3*d^7 + 55*a^6*b^4*c^2*d^8 + 10*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 20*(48620*b^10*c^9*d + 24310*a*b^9*c^8*d^2 + 11440*a^2*b^8*c^7*d^3 + 5005*a^3*b^7*c^6*d^4 + 2002*a^4*b^6*c^5*d^5 + 715*a^5*b^5*c^4*d^6 + 220*a^6*b^4*c^3*d^7 + 55*a^7*b^3*c^2*d^8 + 10*a^8*b^2*c*d^9 + a^9*b*d^10)*x)/(b^31*x^20 + 20*a*b^30*x^19 + 190*a^2*b^29*x^18 + 1140*a^3*b^28*x^17 + 4845*a^4*b^27*x^16 + 15504*a^5*b^26*x^15 + 38760*a^6*b^25*x^14 + 77520*a^7*b^24*x^13 + 125970*a^8*b^23*x^12 + 167960*a^9*b^22*x^11 + 184756*a^10*b^21*x^10 + 167960*a^11*b^20*x^9 + 125970*a^12*b^19*x^8 + 77520*a^13*b^18*x^7 + 38760*a^14*b^17*x^6 + 15504*a^15*b^16*x^5 + 4845*a^16*b^15*x^4 + 1140*a^17*b^14*x^3 + 190*a^18*b^13*x^2 + 20*a^19*b^12*x + a^20*b^11)","B",0
1333,1,1085,0,2.456666," ","integrate((d*x+c)^10/(b*x+a)^22,x, algorithm=""maxima"")","-\frac{352716 \, b^{10} d^{10} x^{10} + 184756 \, b^{10} c^{10} + 92378 \, a b^{9} c^{9} d + 43758 \, a^{2} b^{8} c^{8} d^{2} + 19448 \, a^{3} b^{7} c^{7} d^{3} + 8008 \, a^{4} b^{6} c^{6} d^{4} + 3003 \, a^{5} b^{5} c^{5} d^{5} + 1001 \, a^{6} b^{4} c^{4} d^{6} + 286 \, a^{7} b^{3} c^{3} d^{7} + 66 \, a^{8} b^{2} c^{2} d^{8} + 11 \, a^{9} b c d^{9} + a^{10} d^{10} + 293930 \, {\left(11 \, b^{10} c d^{9} + a b^{9} d^{10}\right)} x^{9} + 203490 \, {\left(66 \, b^{10} c^{2} d^{8} + 11 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 116280 \, {\left(286 \, b^{10} c^{3} d^{7} + 66 \, a b^{9} c^{2} d^{8} + 11 \, a^{2} b^{8} c d^{9} + a^{3} b^{7} d^{10}\right)} x^{7} + 54264 \, {\left(1001 \, b^{10} c^{4} d^{6} + 286 \, a b^{9} c^{3} d^{7} + 66 \, a^{2} b^{8} c^{2} d^{8} + 11 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 20349 \, {\left(3003 \, b^{10} c^{5} d^{5} + 1001 \, a b^{9} c^{4} d^{6} + 286 \, a^{2} b^{8} c^{3} d^{7} + 66 \, a^{3} b^{7} c^{2} d^{8} + 11 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} x^{5} + 5985 \, {\left(8008 \, b^{10} c^{6} d^{4} + 3003 \, a b^{9} c^{5} d^{5} + 1001 \, a^{2} b^{8} c^{4} d^{6} + 286 \, a^{3} b^{7} c^{3} d^{7} + 66 \, a^{4} b^{6} c^{2} d^{8} + 11 \, a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 1330 \, {\left(19448 \, b^{10} c^{7} d^{3} + 8008 \, a b^{9} c^{6} d^{4} + 3003 \, a^{2} b^{8} c^{5} d^{5} + 1001 \, a^{3} b^{7} c^{4} d^{6} + 286 \, a^{4} b^{6} c^{3} d^{7} + 66 \, a^{5} b^{5} c^{2} d^{8} + 11 \, a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} x^{3} + 210 \, {\left(43758 \, b^{10} c^{8} d^{2} + 19448 \, a b^{9} c^{7} d^{3} + 8008 \, a^{2} b^{8} c^{6} d^{4} + 3003 \, a^{3} b^{7} c^{5} d^{5} + 1001 \, a^{4} b^{6} c^{4} d^{6} + 286 \, a^{5} b^{5} c^{3} d^{7} + 66 \, a^{6} b^{4} c^{2} d^{8} + 11 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 21 \, {\left(92378 \, b^{10} c^{9} d + 43758 \, a b^{9} c^{8} d^{2} + 19448 \, a^{2} b^{8} c^{7} d^{3} + 8008 \, a^{3} b^{7} c^{6} d^{4} + 3003 \, a^{4} b^{6} c^{5} d^{5} + 1001 \, a^{5} b^{5} c^{4} d^{6} + 286 \, a^{6} b^{4} c^{3} d^{7} + 66 \, a^{7} b^{3} c^{2} d^{8} + 11 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x}{3879876 \, {\left(b^{32} x^{21} + 21 \, a b^{31} x^{20} + 210 \, a^{2} b^{30} x^{19} + 1330 \, a^{3} b^{29} x^{18} + 5985 \, a^{4} b^{28} x^{17} + 20349 \, a^{5} b^{27} x^{16} + 54264 \, a^{6} b^{26} x^{15} + 116280 \, a^{7} b^{25} x^{14} + 203490 \, a^{8} b^{24} x^{13} + 293930 \, a^{9} b^{23} x^{12} + 352716 \, a^{10} b^{22} x^{11} + 352716 \, a^{11} b^{21} x^{10} + 293930 \, a^{12} b^{20} x^{9} + 203490 \, a^{13} b^{19} x^{8} + 116280 \, a^{14} b^{18} x^{7} + 54264 \, a^{15} b^{17} x^{6} + 20349 \, a^{16} b^{16} x^{5} + 5985 \, a^{17} b^{15} x^{4} + 1330 \, a^{18} b^{14} x^{3} + 210 \, a^{19} b^{13} x^{2} + 21 \, a^{20} b^{12} x + a^{21} b^{11}\right)}}"," ",0,"-1/3879876*(352716*b^10*d^10*x^10 + 184756*b^10*c^10 + 92378*a*b^9*c^9*d + 43758*a^2*b^8*c^8*d^2 + 19448*a^3*b^7*c^7*d^3 + 8008*a^4*b^6*c^6*d^4 + 3003*a^5*b^5*c^5*d^5 + 1001*a^6*b^4*c^4*d^6 + 286*a^7*b^3*c^3*d^7 + 66*a^8*b^2*c^2*d^8 + 11*a^9*b*c*d^9 + a^10*d^10 + 293930*(11*b^10*c*d^9 + a*b^9*d^10)*x^9 + 203490*(66*b^10*c^2*d^8 + 11*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 116280*(286*b^10*c^3*d^7 + 66*a*b^9*c^2*d^8 + 11*a^2*b^8*c*d^9 + a^3*b^7*d^10)*x^7 + 54264*(1001*b^10*c^4*d^6 + 286*a*b^9*c^3*d^7 + 66*a^2*b^8*c^2*d^8 + 11*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 20349*(3003*b^10*c^5*d^5 + 1001*a*b^9*c^4*d^6 + 286*a^2*b^8*c^3*d^7 + 66*a^3*b^7*c^2*d^8 + 11*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 5985*(8008*b^10*c^6*d^4 + 3003*a*b^9*c^5*d^5 + 1001*a^2*b^8*c^4*d^6 + 286*a^3*b^7*c^3*d^7 + 66*a^4*b^6*c^2*d^8 + 11*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 1330*(19448*b^10*c^7*d^3 + 8008*a*b^9*c^6*d^4 + 3003*a^2*b^8*c^5*d^5 + 1001*a^3*b^7*c^4*d^6 + 286*a^4*b^6*c^3*d^7 + 66*a^5*b^5*c^2*d^8 + 11*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 210*(43758*b^10*c^8*d^2 + 19448*a*b^9*c^7*d^3 + 8008*a^2*b^8*c^6*d^4 + 3003*a^3*b^7*c^5*d^5 + 1001*a^4*b^6*c^4*d^6 + 286*a^5*b^5*c^3*d^7 + 66*a^6*b^4*c^2*d^8 + 11*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 21*(92378*b^10*c^9*d + 43758*a*b^9*c^8*d^2 + 19448*a^2*b^8*c^7*d^3 + 8008*a^3*b^7*c^6*d^4 + 3003*a^4*b^6*c^5*d^5 + 1001*a^5*b^5*c^4*d^6 + 286*a^6*b^4*c^3*d^7 + 66*a^7*b^3*c^2*d^8 + 11*a^8*b^2*c*d^9 + a^9*b*d^10)*x)/(b^32*x^21 + 21*a*b^31*x^20 + 210*a^2*b^30*x^19 + 1330*a^3*b^29*x^18 + 5985*a^4*b^28*x^17 + 20349*a^5*b^27*x^16 + 54264*a^6*b^26*x^15 + 116280*a^7*b^25*x^14 + 203490*a^8*b^24*x^13 + 293930*a^9*b^23*x^12 + 352716*a^10*b^22*x^11 + 352716*a^11*b^21*x^10 + 293930*a^12*b^20*x^9 + 203490*a^13*b^19*x^8 + 116280*a^14*b^18*x^7 + 54264*a^15*b^17*x^6 + 20349*a^16*b^16*x^5 + 5985*a^17*b^15*x^4 + 1330*a^18*b^14*x^3 + 210*a^19*b^13*x^2 + 21*a^20*b^12*x + a^21*b^11)","B",0
1334,1,258,0,1.350158," ","integrate((b*x+a)^5/(d*x+c),x, algorithm=""maxima"")","\frac{12 \, b^{5} d^{4} x^{5} - 15 \, {\left(b^{5} c d^{3} - 5 \, a b^{4} d^{4}\right)} x^{4} + 20 \, {\left(b^{5} c^{2} d^{2} - 5 \, a b^{4} c d^{3} + 10 \, a^{2} b^{3} d^{4}\right)} x^{3} - 30 \, {\left(b^{5} c^{3} d - 5 \, a b^{4} c^{2} d^{2} + 10 \, a^{2} b^{3} c d^{3} - 10 \, a^{3} b^{2} d^{4}\right)} x^{2} + 60 \, {\left(b^{5} c^{4} - 5 \, a b^{4} c^{3} d + 10 \, a^{2} b^{3} c^{2} d^{2} - 10 \, a^{3} b^{2} c d^{3} + 5 \, a^{4} b d^{4}\right)} x}{60 \, d^{5}} - \frac{{\left(b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}\right)} \log\left(d x + c\right)}{d^{6}}"," ",0,"1/60*(12*b^5*d^4*x^5 - 15*(b^5*c*d^3 - 5*a*b^4*d^4)*x^4 + 20*(b^5*c^2*d^2 - 5*a*b^4*c*d^3 + 10*a^2*b^3*d^4)*x^3 - 30*(b^5*c^3*d - 5*a*b^4*c^2*d^2 + 10*a^2*b^3*c*d^3 - 10*a^3*b^2*d^4)*x^2 + 60*(b^5*c^4 - 5*a*b^4*c^3*d + 10*a^2*b^3*c^2*d^2 - 10*a^3*b^2*c*d^3 + 5*a^4*b*d^4)*x)/d^5 - (b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5)*log(d*x + c)/d^6","B",0
1335,1,177,0,1.405011," ","integrate((b*x+a)^4/(d*x+c),x, algorithm=""maxima"")","\frac{3 \, b^{4} d^{3} x^{4} - 4 \, {\left(b^{4} c d^{2} - 4 \, a b^{3} d^{3}\right)} x^{3} + 6 \, {\left(b^{4} c^{2} d - 4 \, a b^{3} c d^{2} + 6 \, a^{2} b^{2} d^{3}\right)} x^{2} - 12 \, {\left(b^{4} c^{3} - 4 \, a b^{3} c^{2} d + 6 \, a^{2} b^{2} c d^{2} - 4 \, a^{3} b d^{3}\right)} x}{12 \, d^{4}} + \frac{{\left(b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}\right)} \log\left(d x + c\right)}{d^{5}}"," ",0,"1/12*(3*b^4*d^3*x^4 - 4*(b^4*c*d^2 - 4*a*b^3*d^3)*x^3 + 6*(b^4*c^2*d - 4*a*b^3*c*d^2 + 6*a^2*b^2*d^3)*x^2 - 12*(b^4*c^3 - 4*a*b^3*c^2*d + 6*a^2*b^2*c*d^2 - 4*a^3*b*d^3)*x)/d^4 + (b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)*log(d*x + c)/d^5","A",0
1336,1,114,0,1.301406," ","integrate((b*x+a)^3/(d*x+c),x, algorithm=""maxima"")","\frac{2 \, b^{3} d^{2} x^{3} - 3 \, {\left(b^{3} c d - 3 \, a b^{2} d^{2}\right)} x^{2} + 6 \, {\left(b^{3} c^{2} - 3 \, a b^{2} c d + 3 \, a^{2} b d^{2}\right)} x}{6 \, d^{3}} - \frac{{\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \log\left(d x + c\right)}{d^{4}}"," ",0,"1/6*(2*b^3*d^2*x^3 - 3*(b^3*c*d - 3*a*b^2*d^2)*x^2 + 6*(b^3*c^2 - 3*a*b^2*c*d + 3*a^2*b*d^2)*x)/d^3 - (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*log(d*x + c)/d^4","A",0
1337,1,60,0,1.354017," ","integrate((b*x+a)^2/(d*x+c),x, algorithm=""maxima"")","\frac{b^{2} d x^{2} - 2 \, {\left(b^{2} c - 2 \, a b d\right)} x}{2 \, d^{2}} + \frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left(d x + c\right)}{d^{3}}"," ",0,"1/2*(b^2*d*x^2 - 2*(b^2*c - 2*a*b*d)*x)/d^2 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(d*x + c)/d^3","A",0
1338,1,26,0,1.319376," ","integrate((b*x+a)/(d*x+c),x, algorithm=""maxima"")","\frac{b x}{d} - \frac{{\left(b c - a d\right)} \log\left(d x + c\right)}{d^{2}}"," ",0,"b*x/d - (b*c - a*d)*log(d*x + c)/d^2","A",0
1339,1,10,0,1.303558," ","integrate(1/(d*x+c),x, algorithm=""maxima"")","\frac{\log\left(d x + c\right)}{d}"," ",0,"log(d*x + c)/d","A",0
1340,1,36,0,1.360113," ","integrate(1/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\frac{\log\left(b x + a\right)}{b c - a d} - \frac{\log\left(d x + c\right)}{b c - a d}"," ",0,"log(b*x + a)/(b*c - a*d) - log(d*x + c)/(b*c - a*d)","A",0
1341,1,92,0,1.362880," ","integrate(1/(b*x+a)^2/(d*x+c),x, algorithm=""maxima"")","-\frac{d \log\left(b x + a\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} + \frac{d \log\left(d x + c\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} - \frac{1}{a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x}"," ",0,"-d*log(b*x + a)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) + d*log(d*x + c)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) - 1/(a*b*c - a^2*d + (b^2*c - a*b*d)*x)","A",0
1342,1,202,0,1.411106," ","integrate(1/(b*x+a)^3/(d*x+c),x, algorithm=""maxima"")","\frac{d^{2} \log\left(b x + a\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} - \frac{d^{2} \log\left(d x + c\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} + \frac{2 \, b d x - b c + 3 \, a d}{2 \, {\left(a^{2} b^{2} c^{2} - 2 \, a^{3} b c d + a^{4} d^{2} + {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b^{3} c^{2} - 2 \, a^{2} b^{2} c d + a^{3} b d^{2}\right)} x\right)}}"," ",0,"d^2*log(b*x + a)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) - d^2*log(d*x + c)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) + 1/2*(2*b*d*x - b*c + 3*a*d)/(a^2*b^2*c^2 - 2*a^3*b*c*d + a^4*d^2 + (b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*x^2 + 2*(a*b^3*c^2 - 2*a^2*b^2*c*d + a^3*b*d^2)*x)","B",0
1343,1,264,0,1.397905," ","integrate((b*x+a)^5/(d*x+c)^2,x, algorithm=""maxima"")","\frac{b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}}{d^{7} x + c d^{6}} + \frac{3 \, b^{5} d^{3} x^{4} - 4 \, {\left(2 \, b^{5} c d^{2} - 5 \, a b^{4} d^{3}\right)} x^{3} + 6 \, {\left(3 \, b^{5} c^{2} d - 10 \, a b^{4} c d^{2} + 10 \, a^{2} b^{3} d^{3}\right)} x^{2} - 12 \, {\left(4 \, b^{5} c^{3} - 15 \, a b^{4} c^{2} d + 20 \, a^{2} b^{3} c d^{2} - 10 \, a^{3} b^{2} d^{3}\right)} x}{12 \, d^{5}} + \frac{5 \, {\left(b^{5} c^{4} - 4 \, a b^{4} c^{3} d + 6 \, a^{2} b^{3} c^{2} d^{2} - 4 \, a^{3} b^{2} c d^{3} + a^{4} b d^{4}\right)} \log\left(d x + c\right)}{d^{6}}"," ",0,"(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5)/(d^7*x + c*d^6) + 1/12*(3*b^5*d^3*x^4 - 4*(2*b^5*c*d^2 - 5*a*b^4*d^3)*x^3 + 6*(3*b^5*c^2*d - 10*a*b^4*c*d^2 + 10*a^2*b^3*d^3)*x^2 - 12*(4*b^5*c^3 - 15*a*b^4*c^2*d + 20*a^2*b^3*c*d^2 - 10*a^3*b^2*d^3)*x)/d^5 + 5*(b^5*c^4 - 4*a*b^4*c^3*d + 6*a^2*b^3*c^2*d^2 - 4*a^3*b^2*c*d^3 + a^4*b*d^4)*log(d*x + c)/d^6","B",0
1344,1,183,0,1.356908," ","integrate((b*x+a)^4/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}}{d^{6} x + c d^{5}} + \frac{b^{4} d^{2} x^{3} - 3 \, {\left(b^{4} c d - 2 \, a b^{3} d^{2}\right)} x^{2} + 3 \, {\left(3 \, b^{4} c^{2} - 8 \, a b^{3} c d + 6 \, a^{2} b^{2} d^{2}\right)} x}{3 \, d^{4}} - \frac{4 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} \log\left(d x + c\right)}{d^{5}}"," ",0,"-(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)/(d^6*x + c*d^5) + 1/3*(b^4*d^2*x^3 - 3*(b^4*c*d - 2*a*b^3*d^2)*x^2 + 3*(3*b^4*c^2 - 8*a*b^3*c*d + 6*a^2*b^2*d^2)*x)/d^4 - 4*(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3)*log(d*x + c)/d^5","A",0
1345,1,117,0,1.356942," ","integrate((b*x+a)^3/(d*x+c)^2,x, algorithm=""maxima"")","\frac{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}}{d^{5} x + c d^{4}} + \frac{b^{3} d x^{2} - 2 \, {\left(2 \, b^{3} c - 3 \, a b^{2} d\right)} x}{2 \, d^{3}} + \frac{3 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} \log\left(d x + c\right)}{d^{4}}"," ",0,"(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)/(d^5*x + c*d^4) + 1/2*(b^3*d*x^2 - 2*(2*b^3*c - 3*a*b^2*d)*x)/d^3 + 3*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*log(d*x + c)/d^4","A",0
1346,1,67,0,1.350502," ","integrate((b*x+a)^2/(d*x+c)^2,x, algorithm=""maxima"")","\frac{b^{2} x}{d^{2}} - \frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{d^{4} x + c d^{3}} - \frac{2 \, {\left(b^{2} c - a b d\right)} \log\left(d x + c\right)}{d^{3}}"," ",0,"b^2*x/d^2 - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(d^4*x + c*d^3) - 2*(b^2*c - a*b*d)*log(d*x + c)/d^3","A",0
1347,1,34,0,1.337357," ","integrate((b*x+a)/(d*x+c)^2,x, algorithm=""maxima"")","\frac{b c - a d}{d^{3} x + c d^{2}} + \frac{b \log\left(d x + c\right)}{d^{2}}"," ",0,"(b*c - a*d)/(d^3*x + c*d^2) + b*log(d*x + c)/d^2","A",0
1348,1,12,0,1.284680," ","integrate(1/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{1}{{\left(d x + c\right)} d}"," ",0,"-1/((d*x + c)*d)","A",0
1349,1,90,0,1.321001," ","integrate(1/(b*x+a)/(d*x+c)^2,x, algorithm=""maxima"")","\frac{b \log\left(b x + a\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} - \frac{b \log\left(d x + c\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} + \frac{1}{b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x}"," ",0,"b*log(b*x + a)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) - b*log(d*x + c)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) + 1/(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)","A",0
1350,1,208,0,1.428991," ","integrate(1/(b*x+a)^2/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{2 \, b d \log\left(b x + a\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} + \frac{2 \, b d \log\left(d x + c\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} - \frac{2 \, b d x + b c + a d}{a b^{2} c^{3} - 2 \, a^{2} b c^{2} d + a^{3} c d^{2} + {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x^{2} + {\left(b^{3} c^{3} - a b^{2} c^{2} d - a^{2} b c d^{2} + a^{3} d^{3}\right)} x}"," ",0,"-2*b*d*log(b*x + a)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) + 2*b*d*log(d*x + c)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) - (2*b*d*x + b*c + a*d)/(a*b^2*c^3 - 2*a^2*b*c^2*d + a^3*c*d^2 + (b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*x^2 + (b^3*c^3 - a*b^2*c^2*d - a^2*b*c*d^2 + a^3*d^3)*x)","B",0
1351,1,386,0,1.554661," ","integrate(1/(b*x+a)^3/(d*x+c)^2,x, algorithm=""maxima"")","\frac{3 \, b d^{2} \log\left(b x + a\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} - \frac{3 \, b d^{2} \log\left(d x + c\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} + \frac{6 \, b^{2} d^{2} x^{2} - b^{2} c^{2} + 5 \, a b c d + 2 \, a^{2} d^{2} + 3 \, {\left(b^{2} c d + 3 \, a b d^{2}\right)} x}{2 \, {\left(a^{2} b^{3} c^{4} - 3 \, a^{3} b^{2} c^{3} d + 3 \, a^{4} b c^{2} d^{2} - a^{5} c d^{3} + {\left(b^{5} c^{3} d - 3 \, a b^{4} c^{2} d^{2} + 3 \, a^{2} b^{3} c d^{3} - a^{3} b^{2} d^{4}\right)} x^{3} + {\left(b^{5} c^{4} - a b^{4} c^{3} d - 3 \, a^{2} b^{3} c^{2} d^{2} + 5 \, a^{3} b^{2} c d^{3} - 2 \, a^{4} b d^{4}\right)} x^{2} + {\left(2 \, a b^{4} c^{4} - 5 \, a^{2} b^{3} c^{3} d + 3 \, a^{3} b^{2} c^{2} d^{2} + a^{4} b c d^{3} - a^{5} d^{4}\right)} x\right)}}"," ",0,"3*b*d^2*log(b*x + a)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) - 3*b*d^2*log(d*x + c)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) + 1/2*(6*b^2*d^2*x^2 - b^2*c^2 + 5*a*b*c*d + 2*a^2*d^2 + 3*(b^2*c*d + 3*a*b*d^2)*x)/(a^2*b^3*c^4 - 3*a^3*b^2*c^3*d + 3*a^4*b*c^2*d^2 - a^5*c*d^3 + (b^5*c^3*d - 3*a*b^4*c^2*d^2 + 3*a^2*b^3*c*d^3 - a^3*b^2*d^4)*x^3 + (b^5*c^4 - a*b^4*c^3*d - 3*a^2*b^3*c^2*d^2 + 5*a^3*b^2*c*d^3 - 2*a^4*b*d^4)*x^2 + (2*a*b^4*c^4 - 5*a^2*b^3*c^3*d + 3*a^3*b^2*c^2*d^2 + a^4*b*c*d^3 - a^5*d^4)*x)","B",0
1352,1,364,0,1.473768," ","integrate((b*x+a)^6/(d*x+c)^3,x, algorithm=""maxima"")","\frac{11 \, b^{6} c^{6} - 54 \, a b^{5} c^{5} d + 105 \, a^{2} b^{4} c^{4} d^{2} - 100 \, a^{3} b^{3} c^{3} d^{3} + 45 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} - a^{6} d^{6} + 12 \, {\left(b^{6} c^{5} d - 5 \, a b^{5} c^{4} d^{2} + 10 \, a^{2} b^{4} c^{3} d^{3} - 10 \, a^{3} b^{3} c^{2} d^{4} + 5 \, a^{4} b^{2} c d^{5} - a^{5} b d^{6}\right)} x}{2 \, {\left(d^{9} x^{2} + 2 \, c d^{8} x + c^{2} d^{7}\right)}} + \frac{b^{6} d^{3} x^{4} - 4 \, {\left(b^{6} c d^{2} - 2 \, a b^{5} d^{3}\right)} x^{3} + 6 \, {\left(2 \, b^{6} c^{2} d - 6 \, a b^{5} c d^{2} + 5 \, a^{2} b^{4} d^{3}\right)} x^{2} - 4 \, {\left(10 \, b^{6} c^{3} - 36 \, a b^{5} c^{2} d + 45 \, a^{2} b^{4} c d^{2} - 20 \, a^{3} b^{3} d^{3}\right)} x}{4 \, d^{6}} + \frac{15 \, {\left(b^{6} c^{4} - 4 \, a b^{5} c^{3} d + 6 \, a^{2} b^{4} c^{2} d^{2} - 4 \, a^{3} b^{3} c d^{3} + a^{4} b^{2} d^{4}\right)} \log\left(d x + c\right)}{d^{7}}"," ",0,"1/2*(11*b^6*c^6 - 54*a*b^5*c^5*d + 105*a^2*b^4*c^4*d^2 - 100*a^3*b^3*c^3*d^3 + 45*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 - a^6*d^6 + 12*(b^6*c^5*d - 5*a*b^5*c^4*d^2 + 10*a^2*b^4*c^3*d^3 - 10*a^3*b^3*c^2*d^4 + 5*a^4*b^2*c*d^5 - a^5*b*d^6)*x)/(d^9*x^2 + 2*c*d^8*x + c^2*d^7) + 1/4*(b^6*d^3*x^4 - 4*(b^6*c*d^2 - 2*a*b^5*d^3)*x^3 + 6*(2*b^6*c^2*d - 6*a*b^5*c*d^2 + 5*a^2*b^4*d^3)*x^2 - 4*(10*b^6*c^3 - 36*a*b^5*c^2*d + 45*a^2*b^4*c*d^2 - 20*a^3*b^3*d^3)*x)/d^6 + 15*(b^6*c^4 - 4*a*b^5*c^3*d + 6*a^2*b^4*c^2*d^2 - 4*a^3*b^3*c*d^3 + a^4*b^2*d^4)*log(d*x + c)/d^7","B",0
1353,1,271,0,1.475815," ","integrate((b*x+a)^5/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{9 \, b^{5} c^{5} - 35 \, a b^{4} c^{4} d + 50 \, a^{2} b^{3} c^{3} d^{2} - 30 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} + a^{5} d^{5} + 10 \, {\left(b^{5} c^{4} d - 4 \, a b^{4} c^{3} d^{2} + 6 \, a^{2} b^{3} c^{2} d^{3} - 4 \, a^{3} b^{2} c d^{4} + a^{4} b d^{5}\right)} x}{2 \, {\left(d^{8} x^{2} + 2 \, c d^{7} x + c^{2} d^{6}\right)}} + \frac{2 \, b^{5} d^{2} x^{3} - 3 \, {\left(3 \, b^{5} c d - 5 \, a b^{4} d^{2}\right)} x^{2} + 6 \, {\left(6 \, b^{5} c^{2} - 15 \, a b^{4} c d + 10 \, a^{2} b^{3} d^{2}\right)} x}{6 \, d^{5}} - \frac{10 \, {\left(b^{5} c^{3} - 3 \, a b^{4} c^{2} d + 3 \, a^{2} b^{3} c d^{2} - a^{3} b^{2} d^{3}\right)} \log\left(d x + c\right)}{d^{6}}"," ",0,"-1/2*(9*b^5*c^5 - 35*a*b^4*c^4*d + 50*a^2*b^3*c^3*d^2 - 30*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 + a^5*d^5 + 10*(b^5*c^4*d - 4*a*b^4*c^3*d^2 + 6*a^2*b^3*c^2*d^3 - 4*a^3*b^2*c*d^4 + a^4*b*d^5)*x)/(d^8*x^2 + 2*c*d^7*x + c^2*d^6) + 1/6*(2*b^5*d^2*x^3 - 3*(3*b^5*c*d - 5*a*b^4*d^2)*x^2 + 6*(6*b^5*c^2 - 15*a*b^4*c*d + 10*a^2*b^3*d^2)*x)/d^5 - 10*(b^5*c^3 - 3*a*b^4*c^2*d + 3*a^2*b^3*c*d^2 - a^3*b^2*d^3)*log(d*x + c)/d^6","B",0
1354,1,191,0,1.386352," ","integrate((b*x+a)^4/(d*x+c)^3,x, algorithm=""maxima"")","\frac{7 \, b^{4} c^{4} - 20 \, a b^{3} c^{3} d + 18 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} - a^{4} d^{4} + 8 \, {\left(b^{4} c^{3} d - 3 \, a b^{3} c^{2} d^{2} + 3 \, a^{2} b^{2} c d^{3} - a^{3} b d^{4}\right)} x}{2 \, {\left(d^{7} x^{2} + 2 \, c d^{6} x + c^{2} d^{5}\right)}} + \frac{b^{4} d x^{2} - 2 \, {\left(3 \, b^{4} c - 4 \, a b^{3} d\right)} x}{2 \, d^{4}} + \frac{6 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} \log\left(d x + c\right)}{d^{5}}"," ",0,"1/2*(7*b^4*c^4 - 20*a*b^3*c^3*d + 18*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 - a^4*d^4 + 8*(b^4*c^3*d - 3*a*b^3*c^2*d^2 + 3*a^2*b^2*c*d^3 - a^3*b*d^4)*x)/(d^7*x^2 + 2*c*d^6*x + c^2*d^5) + 1/2*(b^4*d*x^2 - 2*(3*b^4*c - 4*a*b^3*d)*x)/d^4 + 6*(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*log(d*x + c)/d^5","A",0
1355,1,125,0,1.339954," ","integrate((b*x+a)^3/(d*x+c)^3,x, algorithm=""maxima"")","\frac{b^{3} x}{d^{3}} - \frac{5 \, b^{3} c^{3} - 9 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} + a^{3} d^{3} + 6 \, {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{2 \, {\left(d^{6} x^{2} + 2 \, c d^{5} x + c^{2} d^{4}\right)}} - \frac{3 \, {\left(b^{3} c - a b^{2} d\right)} \log\left(d x + c\right)}{d^{4}}"," ",0,"b^3*x/d^3 - 1/2*(5*b^3*c^3 - 9*a*b^2*c^2*d + 3*a^2*b*c*d^2 + a^3*d^3 + 6*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*x)/(d^6*x^2 + 2*c*d^5*x + c^2*d^4) - 3*(b^3*c - a*b^2*d)*log(d*x + c)/d^4","A",0
1356,1,80,0,1.327137," ","integrate((b*x+a)^2/(d*x+c)^3,x, algorithm=""maxima"")","\frac{3 \, b^{2} c^{2} - 2 \, a b c d - a^{2} d^{2} + 4 \, {\left(b^{2} c d - a b d^{2}\right)} x}{2 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}} + \frac{b^{2} \log\left(d x + c\right)}{d^{3}}"," ",0,"1/2*(3*b^2*c^2 - 2*a*b*c*d - a^2*d^2 + 4*(b^2*c*d - a*b*d^2)*x)/(d^5*x^2 + 2*c*d^4*x + c^2*d^3) + b^2*log(d*x + c)/d^3","A",0
1357,1,38,0,1.358881," ","integrate((b*x+a)/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{2 \, b d x + b c + a d}{2 \, {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)}}"," ",0,"-1/2*(2*b*d*x + b*c + a*d)/(d^4*x^2 + 2*c*d^3*x + c^2*d^2)","A",0
1358,1,12,0,1.335091," ","integrate(1/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(d x + c\right)}^{2} d}"," ",0,"-1/2/((d*x + c)^2*d)","A",0
1359,1,202,0,1.451648," ","integrate(1/(b*x+a)/(d*x+c)^3,x, algorithm=""maxima"")","\frac{b^{2} \log\left(b x + a\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} - \frac{b^{2} \log\left(d x + c\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} + \frac{2 \, b d x + 3 \, b c - a d}{2 \, {\left(b^{2} c^{4} - 2 \, a b c^{3} d + a^{2} c^{2} d^{2} + {\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} x^{2} + 2 \, {\left(b^{2} c^{3} d - 2 \, a b c^{2} d^{2} + a^{2} c d^{3}\right)} x\right)}}"," ",0,"b^2*log(b*x + a)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) - b^2*log(d*x + c)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) + 1/2*(2*b*d*x + 3*b*c - a*d)/(b^2*c^4 - 2*a*b*c^3*d + a^2*c^2*d^2 + (b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*x^2 + 2*(b^2*c^3*d - 2*a*b*c^2*d^2 + a^2*c*d^3)*x)","B",0
1360,1,386,0,1.594014," ","integrate(1/(b*x+a)^2/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{3 \, b^{2} d \log\left(b x + a\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} + \frac{3 \, b^{2} d \log\left(d x + c\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} - \frac{6 \, b^{2} d^{2} x^{2} + 2 \, b^{2} c^{2} + 5 \, a b c d - a^{2} d^{2} + 3 \, {\left(3 \, b^{2} c d + a b d^{2}\right)} x}{2 \, {\left(a b^{3} c^{5} - 3 \, a^{2} b^{2} c^{4} d + 3 \, a^{3} b c^{3} d^{2} - a^{4} c^{2} d^{3} + {\left(b^{4} c^{3} d^{2} - 3 \, a b^{3} c^{2} d^{3} + 3 \, a^{2} b^{2} c d^{4} - a^{3} b d^{5}\right)} x^{3} + {\left(2 \, b^{4} c^{4} d - 5 \, a b^{3} c^{3} d^{2} + 3 \, a^{2} b^{2} c^{2} d^{3} + a^{3} b c d^{4} - a^{4} d^{5}\right)} x^{2} + {\left(b^{4} c^{5} - a b^{3} c^{4} d - 3 \, a^{2} b^{2} c^{3} d^{2} + 5 \, a^{3} b c^{2} d^{3} - 2 \, a^{4} c d^{4}\right)} x\right)}}"," ",0,"-3*b^2*d*log(b*x + a)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) + 3*b^2*d*log(d*x + c)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) - 1/2*(6*b^2*d^2*x^2 + 2*b^2*c^2 + 5*a*b*c*d - a^2*d^2 + 3*(3*b^2*c*d + a*b*d^2)*x)/(a*b^3*c^5 - 3*a^2*b^2*c^4*d + 3*a^3*b*c^3*d^2 - a^4*c^2*d^3 + (b^4*c^3*d^2 - 3*a*b^3*c^2*d^3 + 3*a^2*b^2*c*d^4 - a^3*b*d^5)*x^3 + (2*b^4*c^4*d - 5*a*b^3*c^3*d^2 + 3*a^2*b^2*c^2*d^3 + a^3*b*c*d^4 - a^4*d^5)*x^2 + (b^4*c^5 - a*b^3*c^4*d - 3*a^2*b^2*c^3*d^2 + 5*a^3*b*c^2*d^3 - 2*a^4*c*d^4)*x)","B",0
1361,1,594,0,1.551381," ","integrate(1/(b*x+a)^3/(d*x+c)^3,x, algorithm=""maxima"")","\frac{6 \, b^{2} d^{2} \log\left(b x + a\right)}{b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}} - \frac{6 \, b^{2} d^{2} \log\left(d x + c\right)}{b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}} + \frac{12 \, b^{3} d^{3} x^{3} - b^{3} c^{3} + 7 \, a b^{2} c^{2} d + 7 \, a^{2} b c d^{2} - a^{3} d^{3} + 18 \, {\left(b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 4 \, {\left(b^{3} c^{2} d + 7 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{2 \, {\left(a^{2} b^{4} c^{6} - 4 \, a^{3} b^{3} c^{5} d + 6 \, a^{4} b^{2} c^{4} d^{2} - 4 \, a^{5} b c^{3} d^{3} + a^{6} c^{2} d^{4} + {\left(b^{6} c^{4} d^{2} - 4 \, a b^{5} c^{3} d^{3} + 6 \, a^{2} b^{4} c^{2} d^{4} - 4 \, a^{3} b^{3} c d^{5} + a^{4} b^{2} d^{6}\right)} x^{4} + 2 \, {\left(b^{6} c^{5} d - 3 \, a b^{5} c^{4} d^{2} + 2 \, a^{2} b^{4} c^{3} d^{3} + 2 \, a^{3} b^{3} c^{2} d^{4} - 3 \, a^{4} b^{2} c d^{5} + a^{5} b d^{6}\right)} x^{3} + {\left(b^{6} c^{6} - 9 \, a^{2} b^{4} c^{4} d^{2} + 16 \, a^{3} b^{3} c^{3} d^{3} - 9 \, a^{4} b^{2} c^{2} d^{4} + a^{6} d^{6}\right)} x^{2} + 2 \, {\left(a b^{5} c^{6} - 3 \, a^{2} b^{4} c^{5} d + 2 \, a^{3} b^{3} c^{4} d^{2} + 2 \, a^{4} b^{2} c^{3} d^{3} - 3 \, a^{5} b c^{2} d^{4} + a^{6} c d^{5}\right)} x\right)}}"," ",0,"6*b^2*d^2*log(b*x + a)/(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5) - 6*b^2*d^2*log(d*x + c)/(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5) + 1/2*(12*b^3*d^3*x^3 - b^3*c^3 + 7*a*b^2*c^2*d + 7*a^2*b*c*d^2 - a^3*d^3 + 18*(b^3*c*d^2 + a*b^2*d^3)*x^2 + 4*(b^3*c^2*d + 7*a*b^2*c*d^2 + a^2*b*d^3)*x)/(a^2*b^4*c^6 - 4*a^3*b^3*c^5*d + 6*a^4*b^2*c^4*d^2 - 4*a^5*b*c^3*d^3 + a^6*c^2*d^4 + (b^6*c^4*d^2 - 4*a*b^5*c^3*d^3 + 6*a^2*b^4*c^2*d^4 - 4*a^3*b^3*c*d^5 + a^4*b^2*d^6)*x^4 + 2*(b^6*c^5*d - 3*a*b^5*c^4*d^2 + 2*a^2*b^4*c^3*d^3 + 2*a^3*b^3*c^2*d^4 - 3*a^4*b^2*c*d^5 + a^5*b*d^6)*x^3 + (b^6*c^6 - 9*a^2*b^4*c^4*d^2 + 16*a^3*b^3*c^3*d^3 - 9*a^4*b^2*c^2*d^4 + a^6*d^6)*x^2 + 2*(a*b^5*c^6 - 3*a^2*b^4*c^5*d + 2*a^3*b^3*c^4*d^2 + 2*a^4*b^2*c^3*d^3 - 3*a^5*b*c^2*d^4 + a^6*c*d^5)*x)","B",0
1362,1,786,0,2.197919," ","integrate((b*x+a)^9/(d*x+c)^8,x, algorithm=""maxima"")","\frac{3349 \, b^{9} c^{9} - 8658 \, a b^{8} c^{8} d + 6534 \, a^{2} b^{7} c^{7} d^{2} - 840 \, a^{3} b^{6} c^{6} d^{3} - 210 \, a^{4} b^{5} c^{5} d^{4} - 84 \, a^{5} b^{4} c^{4} d^{5} - 42 \, a^{6} b^{3} c^{3} d^{6} - 24 \, a^{7} b^{2} c^{2} d^{7} - 15 \, a^{8} b c d^{8} - 10 \, a^{9} d^{9} + 5880 \, {\left(b^{9} c^{3} d^{6} - 3 \, a b^{8} c^{2} d^{7} + 3 \, a^{2} b^{7} c d^{8} - a^{3} b^{6} d^{9}\right)} x^{6} + 4410 \, {\left(7 \, b^{9} c^{4} d^{5} - 20 \, a b^{8} c^{3} d^{6} + 18 \, a^{2} b^{7} c^{2} d^{7} - 4 \, a^{3} b^{6} c d^{8} - a^{4} b^{5} d^{9}\right)} x^{5} + 1470 \, {\left(47 \, b^{9} c^{5} d^{4} - 130 \, a b^{8} c^{4} d^{5} + 110 \, a^{2} b^{7} c^{3} d^{6} - 20 \, a^{3} b^{6} c^{2} d^{7} - 5 \, a^{4} b^{5} c d^{8} - 2 \, a^{5} b^{4} d^{9}\right)} x^{4} + 1470 \, {\left(57 \, b^{9} c^{6} d^{3} - 154 \, a b^{8} c^{5} d^{4} + 125 \, a^{2} b^{7} c^{4} d^{5} - 20 \, a^{3} b^{6} c^{3} d^{6} - 5 \, a^{4} b^{5} c^{2} d^{7} - 2 \, a^{5} b^{4} c d^{8} - a^{6} b^{3} d^{9}\right)} x^{3} + 126 \, {\left(459 \, b^{9} c^{7} d^{2} - 1218 \, a b^{8} c^{6} d^{3} + 959 \, a^{2} b^{7} c^{5} d^{4} - 140 \, a^{3} b^{6} c^{4} d^{5} - 35 \, a^{4} b^{5} c^{3} d^{6} - 14 \, a^{5} b^{4} c^{2} d^{7} - 7 \, a^{6} b^{3} c d^{8} - 4 \, a^{7} b^{2} d^{9}\right)} x^{2} + 21 \, {\left(1023 \, b^{9} c^{8} d - 2676 \, a b^{8} c^{7} d^{2} + 2058 \, a^{2} b^{7} c^{6} d^{3} - 280 \, a^{3} b^{6} c^{5} d^{4} - 70 \, a^{4} b^{5} c^{4} d^{5} - 28 \, a^{5} b^{4} c^{3} d^{6} - 14 \, a^{6} b^{3} c^{2} d^{7} - 8 \, a^{7} b^{2} c d^{8} - 5 \, a^{8} b d^{9}\right)} x}{70 \, {\left(d^{17} x^{7} + 7 \, c d^{16} x^{6} + 21 \, c^{2} d^{15} x^{5} + 35 \, c^{3} d^{14} x^{4} + 35 \, c^{4} d^{13} x^{3} + 21 \, c^{5} d^{12} x^{2} + 7 \, c^{6} d^{11} x + c^{7} d^{10}\right)}} + \frac{b^{9} d x^{2} - 2 \, {\left(8 \, b^{9} c - 9 \, a b^{8} d\right)} x}{2 \, d^{9}} + \frac{36 \, {\left(b^{9} c^{2} - 2 \, a b^{8} c d + a^{2} b^{7} d^{2}\right)} \log\left(d x + c\right)}{d^{10}}"," ",0,"1/70*(3349*b^9*c^9 - 8658*a*b^8*c^8*d + 6534*a^2*b^7*c^7*d^2 - 840*a^3*b^6*c^6*d^3 - 210*a^4*b^5*c^5*d^4 - 84*a^5*b^4*c^4*d^5 - 42*a^6*b^3*c^3*d^6 - 24*a^7*b^2*c^2*d^7 - 15*a^8*b*c*d^8 - 10*a^9*d^9 + 5880*(b^9*c^3*d^6 - 3*a*b^8*c^2*d^7 + 3*a^2*b^7*c*d^8 - a^3*b^6*d^9)*x^6 + 4410*(7*b^9*c^4*d^5 - 20*a*b^8*c^3*d^6 + 18*a^2*b^7*c^2*d^7 - 4*a^3*b^6*c*d^8 - a^4*b^5*d^9)*x^5 + 1470*(47*b^9*c^5*d^4 - 130*a*b^8*c^4*d^5 + 110*a^2*b^7*c^3*d^6 - 20*a^3*b^6*c^2*d^7 - 5*a^4*b^5*c*d^8 - 2*a^5*b^4*d^9)*x^4 + 1470*(57*b^9*c^6*d^3 - 154*a*b^8*c^5*d^4 + 125*a^2*b^7*c^4*d^5 - 20*a^3*b^6*c^3*d^6 - 5*a^4*b^5*c^2*d^7 - 2*a^5*b^4*c*d^8 - a^6*b^3*d^9)*x^3 + 126*(459*b^9*c^7*d^2 - 1218*a*b^8*c^6*d^3 + 959*a^2*b^7*c^5*d^4 - 140*a^3*b^6*c^4*d^5 - 35*a^4*b^5*c^3*d^6 - 14*a^5*b^4*c^2*d^7 - 7*a^6*b^3*c*d^8 - 4*a^7*b^2*d^9)*x^2 + 21*(1023*b^9*c^8*d - 2676*a*b^8*c^7*d^2 + 2058*a^2*b^7*c^6*d^3 - 280*a^3*b^6*c^5*d^4 - 70*a^4*b^5*c^4*d^5 - 28*a^5*b^4*c^3*d^6 - 14*a^6*b^3*c^2*d^7 - 8*a^7*b^2*c*d^8 - 5*a^8*b*d^9)*x)/(d^17*x^7 + 7*c*d^16*x^6 + 21*c^2*d^15*x^5 + 35*c^3*d^14*x^4 + 35*c^4*d^13*x^3 + 21*c^5*d^12*x^2 + 7*c^6*d^11*x + c^7*d^10) + 1/2*(b^9*d*x^2 - 2*(8*b^9*c - 9*a*b^8*d)*x)/d^9 + 36*(b^9*c^2 - 2*a*b^8*c*d + a^2*b^7*d^2)*log(d*x + c)/d^10","B",0
1363,1,649,0,1.959496," ","integrate((b*x+a)^8/(d*x+c)^8,x, algorithm=""maxima"")","\frac{b^{8} x}{d^{8}} - \frac{1443 \, b^{8} c^{8} - 2178 \, a b^{7} c^{7} d + 420 \, a^{2} b^{6} c^{6} d^{2} + 140 \, a^{3} b^{5} c^{5} d^{3} + 70 \, a^{4} b^{4} c^{4} d^{4} + 42 \, a^{5} b^{3} c^{3} d^{5} + 28 \, a^{6} b^{2} c^{2} d^{6} + 20 \, a^{7} b c d^{7} + 15 \, a^{8} d^{8} + 2940 \, {\left(b^{8} c^{2} d^{6} - 2 \, a b^{7} c d^{7} + a^{2} b^{6} d^{8}\right)} x^{6} + 2940 \, {\left(5 \, b^{8} c^{3} d^{5} - 9 \, a b^{7} c^{2} d^{6} + 3 \, a^{2} b^{6} c d^{7} + a^{3} b^{5} d^{8}\right)} x^{5} + 2450 \, {\left(13 \, b^{8} c^{4} d^{4} - 22 \, a b^{7} c^{3} d^{5} + 6 \, a^{2} b^{6} c^{2} d^{6} + 2 \, a^{3} b^{5} c d^{7} + a^{4} b^{4} d^{8}\right)} x^{4} + 490 \, {\left(77 \, b^{8} c^{5} d^{3} - 125 \, a b^{7} c^{4} d^{4} + 30 \, a^{2} b^{6} c^{3} d^{5} + 10 \, a^{3} b^{5} c^{2} d^{6} + 5 \, a^{4} b^{4} c d^{7} + 3 \, a^{5} b^{3} d^{8}\right)} x^{3} + 294 \, {\left(87 \, b^{8} c^{6} d^{2} - 137 \, a b^{7} c^{5} d^{3} + 30 \, a^{2} b^{6} c^{4} d^{4} + 10 \, a^{3} b^{5} c^{3} d^{5} + 5 \, a^{4} b^{4} c^{2} d^{6} + 3 \, a^{5} b^{3} c d^{7} + 2 \, a^{6} b^{2} d^{8}\right)} x^{2} + 14 \, {\left(669 \, b^{8} c^{7} d - 1029 \, a b^{7} c^{6} d^{2} + 210 \, a^{2} b^{6} c^{5} d^{3} + 70 \, a^{3} b^{5} c^{4} d^{4} + 35 \, a^{4} b^{4} c^{3} d^{5} + 21 \, a^{5} b^{3} c^{2} d^{6} + 14 \, a^{6} b^{2} c d^{7} + 10 \, a^{7} b d^{8}\right)} x}{105 \, {\left(d^{16} x^{7} + 7 \, c d^{15} x^{6} + 21 \, c^{2} d^{14} x^{5} + 35 \, c^{3} d^{13} x^{4} + 35 \, c^{4} d^{12} x^{3} + 21 \, c^{5} d^{11} x^{2} + 7 \, c^{6} d^{10} x + c^{7} d^{9}\right)}} - \frac{8 \, {\left(b^{8} c - a b^{7} d\right)} \log\left(d x + c\right)}{d^{9}}"," ",0,"b^8*x/d^8 - 1/105*(1443*b^8*c^8 - 2178*a*b^7*c^7*d + 420*a^2*b^6*c^6*d^2 + 140*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 + 42*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 + 20*a^7*b*c*d^7 + 15*a^8*d^8 + 2940*(b^8*c^2*d^6 - 2*a*b^7*c*d^7 + a^2*b^6*d^8)*x^6 + 2940*(5*b^8*c^3*d^5 - 9*a*b^7*c^2*d^6 + 3*a^2*b^6*c*d^7 + a^3*b^5*d^8)*x^5 + 2450*(13*b^8*c^4*d^4 - 22*a*b^7*c^3*d^5 + 6*a^2*b^6*c^2*d^6 + 2*a^3*b^5*c*d^7 + a^4*b^4*d^8)*x^4 + 490*(77*b^8*c^5*d^3 - 125*a*b^7*c^4*d^4 + 30*a^2*b^6*c^3*d^5 + 10*a^3*b^5*c^2*d^6 + 5*a^4*b^4*c*d^7 + 3*a^5*b^3*d^8)*x^3 + 294*(87*b^8*c^6*d^2 - 137*a*b^7*c^5*d^3 + 30*a^2*b^6*c^4*d^4 + 10*a^3*b^5*c^3*d^5 + 5*a^4*b^4*c^2*d^6 + 3*a^5*b^3*c*d^7 + 2*a^6*b^2*d^8)*x^2 + 14*(669*b^8*c^7*d - 1029*a*b^7*c^6*d^2 + 210*a^2*b^6*c^5*d^3 + 70*a^3*b^5*c^4*d^4 + 35*a^4*b^4*c^3*d^5 + 21*a^5*b^3*c^2*d^6 + 14*a^6*b^2*c*d^7 + 10*a^7*b*d^8)*x)/(d^16*x^7 + 7*c*d^15*x^6 + 21*c^2*d^14*x^5 + 35*c^3*d^13*x^4 + 35*c^4*d^12*x^3 + 21*c^5*d^11*x^2 + 7*c^6*d^10*x + c^7*d^9) - 8*(b^8*c - a*b^7*d)*log(d*x + c)/d^9","B",0
1364,1,535,0,1.662068," ","integrate((b*x+a)^7/(d*x+c)^8,x, algorithm=""maxima"")","\frac{1089 \, b^{7} c^{7} - 420 \, a b^{6} c^{6} d - 210 \, a^{2} b^{5} c^{5} d^{2} - 140 \, a^{3} b^{4} c^{4} d^{3} - 105 \, a^{4} b^{3} c^{3} d^{4} - 84 \, a^{5} b^{2} c^{2} d^{5} - 70 \, a^{6} b c d^{6} - 60 \, a^{7} d^{7} + 2940 \, {\left(b^{7} c d^{6} - a b^{6} d^{7}\right)} x^{6} + 4410 \, {\left(3 \, b^{7} c^{2} d^{5} - 2 \, a b^{6} c d^{6} - a^{2} b^{5} d^{7}\right)} x^{5} + 2450 \, {\left(11 \, b^{7} c^{3} d^{4} - 6 \, a b^{6} c^{2} d^{5} - 3 \, a^{2} b^{5} c d^{6} - 2 \, a^{3} b^{4} d^{7}\right)} x^{4} + 1225 \, {\left(25 \, b^{7} c^{4} d^{3} - 12 \, a b^{6} c^{3} d^{4} - 6 \, a^{2} b^{5} c^{2} d^{5} - 4 \, a^{3} b^{4} c d^{6} - 3 \, a^{4} b^{3} d^{7}\right)} x^{3} + 147 \, {\left(137 \, b^{7} c^{5} d^{2} - 60 \, a b^{6} c^{4} d^{3} - 30 \, a^{2} b^{5} c^{3} d^{4} - 20 \, a^{3} b^{4} c^{2} d^{5} - 15 \, a^{4} b^{3} c d^{6} - 12 \, a^{5} b^{2} d^{7}\right)} x^{2} + 49 \, {\left(147 \, b^{7} c^{6} d - 60 \, a b^{6} c^{5} d^{2} - 30 \, a^{2} b^{5} c^{4} d^{3} - 20 \, a^{3} b^{4} c^{3} d^{4} - 15 \, a^{4} b^{3} c^{2} d^{5} - 12 \, a^{5} b^{2} c d^{6} - 10 \, a^{6} b d^{7}\right)} x}{420 \, {\left(d^{15} x^{7} + 7 \, c d^{14} x^{6} + 21 \, c^{2} d^{13} x^{5} + 35 \, c^{3} d^{12} x^{4} + 35 \, c^{4} d^{11} x^{3} + 21 \, c^{5} d^{10} x^{2} + 7 \, c^{6} d^{9} x + c^{7} d^{8}\right)}} + \frac{b^{7} \log\left(d x + c\right)}{d^{8}}"," ",0,"1/420*(1089*b^7*c^7 - 420*a*b^6*c^6*d - 210*a^2*b^5*c^5*d^2 - 140*a^3*b^4*c^4*d^3 - 105*a^4*b^3*c^3*d^4 - 84*a^5*b^2*c^2*d^5 - 70*a^6*b*c*d^6 - 60*a^7*d^7 + 2940*(b^7*c*d^6 - a*b^6*d^7)*x^6 + 4410*(3*b^7*c^2*d^5 - 2*a*b^6*c*d^6 - a^2*b^5*d^7)*x^5 + 2450*(11*b^7*c^3*d^4 - 6*a*b^6*c^2*d^5 - 3*a^2*b^5*c*d^6 - 2*a^3*b^4*d^7)*x^4 + 1225*(25*b^7*c^4*d^3 - 12*a*b^6*c^3*d^4 - 6*a^2*b^5*c^2*d^5 - 4*a^3*b^4*c*d^6 - 3*a^4*b^3*d^7)*x^3 + 147*(137*b^7*c^5*d^2 - 60*a*b^6*c^4*d^3 - 30*a^2*b^5*c^3*d^4 - 20*a^3*b^4*c^2*d^5 - 15*a^4*b^3*c*d^6 - 12*a^5*b^2*d^7)*x^2 + 49*(147*b^7*c^6*d - 60*a*b^6*c^5*d^2 - 30*a^2*b^5*c^4*d^3 - 20*a^3*b^4*c^3*d^4 - 15*a^4*b^3*c^2*d^5 - 12*a^5*b^2*c*d^6 - 10*a^6*b*d^7)*x)/(d^15*x^7 + 7*c*d^14*x^6 + 21*c^2*d^13*x^5 + 35*c^3*d^12*x^4 + 35*c^4*d^11*x^3 + 21*c^5*d^10*x^2 + 7*c^6*d^9*x + c^7*d^8) + b^7*log(d*x + c)/d^8","B",0
1365,1,398,0,1.605956," ","integrate((b*x+a)^6/(d*x+c)^8,x, algorithm=""maxima"")","-\frac{7 \, b^{6} d^{6} x^{6} + b^{6} c^{6} + a b^{5} c^{5} d + a^{2} b^{4} c^{4} d^{2} + a^{3} b^{3} c^{3} d^{3} + a^{4} b^{2} c^{2} d^{4} + a^{5} b c d^{5} + a^{6} d^{6} + 21 \, {\left(b^{6} c d^{5} + a b^{5} d^{6}\right)} x^{5} + 35 \, {\left(b^{6} c^{2} d^{4} + a b^{5} c d^{5} + a^{2} b^{4} d^{6}\right)} x^{4} + 35 \, {\left(b^{6} c^{3} d^{3} + a b^{5} c^{2} d^{4} + a^{2} b^{4} c d^{5} + a^{3} b^{3} d^{6}\right)} x^{3} + 21 \, {\left(b^{6} c^{4} d^{2} + a b^{5} c^{3} d^{3} + a^{2} b^{4} c^{2} d^{4} + a^{3} b^{3} c d^{5} + a^{4} b^{2} d^{6}\right)} x^{2} + 7 \, {\left(b^{6} c^{5} d + a b^{5} c^{4} d^{2} + a^{2} b^{4} c^{3} d^{3} + a^{3} b^{3} c^{2} d^{4} + a^{4} b^{2} c d^{5} + a^{5} b d^{6}\right)} x}{7 \, {\left(d^{14} x^{7} + 7 \, c d^{13} x^{6} + 21 \, c^{2} d^{12} x^{5} + 35 \, c^{3} d^{11} x^{4} + 35 \, c^{4} d^{10} x^{3} + 21 \, c^{5} d^{9} x^{2} + 7 \, c^{6} d^{8} x + c^{7} d^{7}\right)}}"," ",0,"-1/7*(7*b^6*d^6*x^6 + b^6*c^6 + a*b^5*c^5*d + a^2*b^4*c^4*d^2 + a^3*b^3*c^3*d^3 + a^4*b^2*c^2*d^4 + a^5*b*c*d^5 + a^6*d^6 + 21*(b^6*c*d^5 + a*b^5*d^6)*x^5 + 35*(b^6*c^2*d^4 + a*b^5*c*d^5 + a^2*b^4*d^6)*x^4 + 35*(b^6*c^3*d^3 + a*b^5*c^2*d^4 + a^2*b^4*c*d^5 + a^3*b^3*d^6)*x^3 + 21*(b^6*c^4*d^2 + a*b^5*c^3*d^3 + a^2*b^4*c^2*d^4 + a^3*b^3*c*d^5 + a^4*b^2*d^6)*x^2 + 7*(b^6*c^5*d + a*b^5*c^4*d^2 + a^2*b^4*c^3*d^3 + a^3*b^3*c^2*d^4 + a^4*b^2*c*d^5 + a^5*b*d^6)*x)/(d^14*x^7 + 7*c*d^13*x^6 + 21*c^2*d^12*x^5 + 35*c^3*d^11*x^4 + 35*c^4*d^10*x^3 + 21*c^5*d^9*x^2 + 7*c^6*d^8*x + c^7*d^7)","B",0
1366,1,326,0,1.578987," ","integrate((b*x+a)^5/(d*x+c)^8,x, algorithm=""maxima"")","-\frac{21 \, b^{5} d^{5} x^{5} + b^{5} c^{5} + 2 \, a b^{4} c^{4} d + 3 \, a^{2} b^{3} c^{3} d^{2} + 4 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} + 6 \, a^{5} d^{5} + 35 \, {\left(b^{5} c d^{4} + 2 \, a b^{4} d^{5}\right)} x^{4} + 35 \, {\left(b^{5} c^{2} d^{3} + 2 \, a b^{4} c d^{4} + 3 \, a^{2} b^{3} d^{5}\right)} x^{3} + 21 \, {\left(b^{5} c^{3} d^{2} + 2 \, a b^{4} c^{2} d^{3} + 3 \, a^{2} b^{3} c d^{4} + 4 \, a^{3} b^{2} d^{5}\right)} x^{2} + 7 \, {\left(b^{5} c^{4} d + 2 \, a b^{4} c^{3} d^{2} + 3 \, a^{2} b^{3} c^{2} d^{3} + 4 \, a^{3} b^{2} c d^{4} + 5 \, a^{4} b d^{5}\right)} x}{42 \, {\left(d^{13} x^{7} + 7 \, c d^{12} x^{6} + 21 \, c^{2} d^{11} x^{5} + 35 \, c^{3} d^{10} x^{4} + 35 \, c^{4} d^{9} x^{3} + 21 \, c^{5} d^{8} x^{2} + 7 \, c^{6} d^{7} x + c^{7} d^{6}\right)}}"," ",0,"-1/42*(21*b^5*d^5*x^5 + b^5*c^5 + 2*a*b^4*c^4*d + 3*a^2*b^3*c^3*d^2 + 4*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 + 6*a^5*d^5 + 35*(b^5*c*d^4 + 2*a*b^4*d^5)*x^4 + 35*(b^5*c^2*d^3 + 2*a*b^4*c*d^4 + 3*a^2*b^3*d^5)*x^3 + 21*(b^5*c^3*d^2 + 2*a*b^4*c^2*d^3 + 3*a^2*b^3*c*d^4 + 4*a^3*b^2*d^5)*x^2 + 7*(b^5*c^4*d + 2*a*b^4*c^3*d^2 + 3*a^2*b^3*c^2*d^3 + 4*a^3*b^2*c*d^4 + 5*a^4*b*d^5)*x)/(d^13*x^7 + 7*c*d^12*x^6 + 21*c^2*d^11*x^5 + 35*c^3*d^10*x^4 + 35*c^4*d^9*x^3 + 21*c^5*d^8*x^2 + 7*c^6*d^7*x + c^7*d^6)","B",0
1367,1,247,0,1.516632," ","integrate((b*x+a)^4/(d*x+c)^8,x, algorithm=""maxima"")","-\frac{35 \, b^{4} d^{4} x^{4} + b^{4} c^{4} + 3 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 10 \, a^{3} b c d^{3} + 15 \, a^{4} d^{4} + 35 \, {\left(b^{4} c d^{3} + 3 \, a b^{3} d^{4}\right)} x^{3} + 21 \, {\left(b^{4} c^{2} d^{2} + 3 \, a b^{3} c d^{3} + 6 \, a^{2} b^{2} d^{4}\right)} x^{2} + 7 \, {\left(b^{4} c^{3} d + 3 \, a b^{3} c^{2} d^{2} + 6 \, a^{2} b^{2} c d^{3} + 10 \, a^{3} b d^{4}\right)} x}{105 \, {\left(d^{12} x^{7} + 7 \, c d^{11} x^{6} + 21 \, c^{2} d^{10} x^{5} + 35 \, c^{3} d^{9} x^{4} + 35 \, c^{4} d^{8} x^{3} + 21 \, c^{5} d^{7} x^{2} + 7 \, c^{6} d^{6} x + c^{7} d^{5}\right)}}"," ",0,"-1/105*(35*b^4*d^4*x^4 + b^4*c^4 + 3*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 + 10*a^3*b*c*d^3 + 15*a^4*d^4 + 35*(b^4*c*d^3 + 3*a*b^3*d^4)*x^3 + 21*(b^4*c^2*d^2 + 3*a*b^3*c*d^3 + 6*a^2*b^2*d^4)*x^2 + 7*(b^4*c^3*d + 3*a*b^3*c^2*d^2 + 6*a^2*b^2*c*d^3 + 10*a^3*b*d^4)*x)/(d^12*x^7 + 7*c*d^11*x^6 + 21*c^2*d^10*x^5 + 35*c^3*d^9*x^4 + 35*c^4*d^8*x^3 + 21*c^5*d^7*x^2 + 7*c^6*d^6*x + c^7*d^5)","B",0
1368,1,182,0,1.469126," ","integrate((b*x+a)^3/(d*x+c)^8,x, algorithm=""maxima"")","-\frac{35 \, b^{3} d^{3} x^{3} + b^{3} c^{3} + 4 \, a b^{2} c^{2} d + 10 \, a^{2} b c d^{2} + 20 \, a^{3} d^{3} + 21 \, {\left(b^{3} c d^{2} + 4 \, a b^{2} d^{3}\right)} x^{2} + 7 \, {\left(b^{3} c^{2} d + 4 \, a b^{2} c d^{2} + 10 \, a^{2} b d^{3}\right)} x}{140 \, {\left(d^{11} x^{7} + 7 \, c d^{10} x^{6} + 21 \, c^{2} d^{9} x^{5} + 35 \, c^{3} d^{8} x^{4} + 35 \, c^{4} d^{7} x^{3} + 21 \, c^{5} d^{6} x^{2} + 7 \, c^{6} d^{5} x + c^{7} d^{4}\right)}}"," ",0,"-1/140*(35*b^3*d^3*x^3 + b^3*c^3 + 4*a*b^2*c^2*d + 10*a^2*b*c*d^2 + 20*a^3*d^3 + 21*(b^3*c*d^2 + 4*a*b^2*d^3)*x^2 + 7*(b^3*c^2*d + 4*a*b^2*c*d^2 + 10*a^2*b*d^3)*x)/(d^11*x^7 + 7*c*d^10*x^6 + 21*c^2*d^9*x^5 + 35*c^3*d^8*x^4 + 35*c^4*d^7*x^3 + 21*c^5*d^6*x^2 + 7*c^6*d^5*x + c^7*d^4)","B",0
1369,1,131,0,1.455920," ","integrate((b*x+a)^2/(d*x+c)^8,x, algorithm=""maxima"")","-\frac{21 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 5 \, a b c d + 15 \, a^{2} d^{2} + 7 \, {\left(b^{2} c d + 5 \, a b d^{2}\right)} x}{105 \, {\left(d^{10} x^{7} + 7 \, c d^{9} x^{6} + 21 \, c^{2} d^{8} x^{5} + 35 \, c^{3} d^{7} x^{4} + 35 \, c^{4} d^{6} x^{3} + 21 \, c^{5} d^{5} x^{2} + 7 \, c^{6} d^{4} x + c^{7} d^{3}\right)}}"," ",0,"-1/105*(21*b^2*d^2*x^2 + b^2*c^2 + 5*a*b*c*d + 15*a^2*d^2 + 7*(b^2*c*d + 5*a*b*d^2)*x)/(d^10*x^7 + 7*c*d^9*x^6 + 21*c^2*d^8*x^5 + 35*c^3*d^7*x^4 + 35*c^4*d^6*x^3 + 21*c^5*d^5*x^2 + 7*c^6*d^4*x + c^7*d^3)","B",0
1370,1,94,0,1.379572," ","integrate((b*x+a)/(d*x+c)^8,x, algorithm=""maxima"")","-\frac{7 \, b d x + b c + 6 \, a d}{42 \, {\left(d^{9} x^{7} + 7 \, c d^{8} x^{6} + 21 \, c^{2} d^{7} x^{5} + 35 \, c^{3} d^{6} x^{4} + 35 \, c^{4} d^{5} x^{3} + 21 \, c^{5} d^{4} x^{2} + 7 \, c^{6} d^{3} x + c^{7} d^{2}\right)}}"," ",0,"-1/42*(7*b*d*x + b*c + 6*a*d)/(d^9*x^7 + 7*c*d^8*x^6 + 21*c^2*d^7*x^5 + 35*c^3*d^6*x^4 + 35*c^4*d^5*x^3 + 21*c^5*d^4*x^2 + 7*c^6*d^3*x + c^7*d^2)","B",0
1371,1,12,0,1.364779," ","integrate(1/(d*x+c)^8,x, algorithm=""maxima"")","-\frac{1}{7 \, {\left(d x + c\right)}^{7} d}"," ",0,"-1/7/((d*x + c)^7*d)","A",0
1372,1,1418,0,2.974930," ","integrate(1/(b*x+a)/(d*x+c)^8,x, algorithm=""maxima"")","\frac{b^{7} \log\left(b x + a\right)}{b^{8} c^{8} - 8 \, a b^{7} c^{7} d + 28 \, a^{2} b^{6} c^{6} d^{2} - 56 \, a^{3} b^{5} c^{5} d^{3} + 70 \, a^{4} b^{4} c^{4} d^{4} - 56 \, a^{5} b^{3} c^{3} d^{5} + 28 \, a^{6} b^{2} c^{2} d^{6} - 8 \, a^{7} b c d^{7} + a^{8} d^{8}} - \frac{b^{7} \log\left(d x + c\right)}{b^{8} c^{8} - 8 \, a b^{7} c^{7} d + 28 \, a^{2} b^{6} c^{6} d^{2} - 56 \, a^{3} b^{5} c^{5} d^{3} + 70 \, a^{4} b^{4} c^{4} d^{4} - 56 \, a^{5} b^{3} c^{3} d^{5} + 28 \, a^{6} b^{2} c^{2} d^{6} - 8 \, a^{7} b c d^{7} + a^{8} d^{8}} + \frac{420 \, b^{6} d^{6} x^{6} + 1089 \, b^{6} c^{6} - 1851 \, a b^{5} c^{5} d + 2559 \, a^{2} b^{4} c^{4} d^{2} - 2341 \, a^{3} b^{3} c^{3} d^{3} + 1334 \, a^{4} b^{2} c^{2} d^{4} - 430 \, a^{5} b c d^{5} + 60 \, a^{6} d^{6} + 210 \, {\left(13 \, b^{6} c d^{5} - a b^{5} d^{6}\right)} x^{5} + 70 \, {\left(107 \, b^{6} c^{2} d^{4} - 19 \, a b^{5} c d^{5} + 2 \, a^{2} b^{4} d^{6}\right)} x^{4} + 35 \, {\left(319 \, b^{6} c^{3} d^{3} - 101 \, a b^{5} c^{2} d^{4} + 25 \, a^{2} b^{4} c d^{5} - 3 \, a^{3} b^{3} d^{6}\right)} x^{3} + 21 \, {\left(459 \, b^{6} c^{4} d^{2} - 241 \, a b^{5} c^{3} d^{3} + 109 \, a^{2} b^{4} c^{2} d^{4} - 31 \, a^{3} b^{3} c d^{5} + 4 \, a^{4} b^{2} d^{6}\right)} x^{2} + 7 \, {\left(669 \, b^{6} c^{5} d - 591 \, a b^{5} c^{4} d^{2} + 459 \, a^{2} b^{4} c^{3} d^{3} - 241 \, a^{3} b^{3} c^{2} d^{4} + 74 \, a^{4} b^{2} c d^{5} - 10 \, a^{5} b d^{6}\right)} x}{420 \, {\left(b^{7} c^{14} - 7 \, a b^{6} c^{13} d + 21 \, a^{2} b^{5} c^{12} d^{2} - 35 \, a^{3} b^{4} c^{11} d^{3} + 35 \, a^{4} b^{3} c^{10} d^{4} - 21 \, a^{5} b^{2} c^{9} d^{5} + 7 \, a^{6} b c^{8} d^{6} - a^{7} c^{7} d^{7} + {\left(b^{7} c^{7} d^{7} - 7 \, a b^{6} c^{6} d^{8} + 21 \, a^{2} b^{5} c^{5} d^{9} - 35 \, a^{3} b^{4} c^{4} d^{10} + 35 \, a^{4} b^{3} c^{3} d^{11} - 21 \, a^{5} b^{2} c^{2} d^{12} + 7 \, a^{6} b c d^{13} - a^{7} d^{14}\right)} x^{7} + 7 \, {\left(b^{7} c^{8} d^{6} - 7 \, a b^{6} c^{7} d^{7} + 21 \, a^{2} b^{5} c^{6} d^{8} - 35 \, a^{3} b^{4} c^{5} d^{9} + 35 \, a^{4} b^{3} c^{4} d^{10} - 21 \, a^{5} b^{2} c^{3} d^{11} + 7 \, a^{6} b c^{2} d^{12} - a^{7} c d^{13}\right)} x^{6} + 21 \, {\left(b^{7} c^{9} d^{5} - 7 \, a b^{6} c^{8} d^{6} + 21 \, a^{2} b^{5} c^{7} d^{7} - 35 \, a^{3} b^{4} c^{6} d^{8} + 35 \, a^{4} b^{3} c^{5} d^{9} - 21 \, a^{5} b^{2} c^{4} d^{10} + 7 \, a^{6} b c^{3} d^{11} - a^{7} c^{2} d^{12}\right)} x^{5} + 35 \, {\left(b^{7} c^{10} d^{4} - 7 \, a b^{6} c^{9} d^{5} + 21 \, a^{2} b^{5} c^{8} d^{6} - 35 \, a^{3} b^{4} c^{7} d^{7} + 35 \, a^{4} b^{3} c^{6} d^{8} - 21 \, a^{5} b^{2} c^{5} d^{9} + 7 \, a^{6} b c^{4} d^{10} - a^{7} c^{3} d^{11}\right)} x^{4} + 35 \, {\left(b^{7} c^{11} d^{3} - 7 \, a b^{6} c^{10} d^{4} + 21 \, a^{2} b^{5} c^{9} d^{5} - 35 \, a^{3} b^{4} c^{8} d^{6} + 35 \, a^{4} b^{3} c^{7} d^{7} - 21 \, a^{5} b^{2} c^{6} d^{8} + 7 \, a^{6} b c^{5} d^{9} - a^{7} c^{4} d^{10}\right)} x^{3} + 21 \, {\left(b^{7} c^{12} d^{2} - 7 \, a b^{6} c^{11} d^{3} + 21 \, a^{2} b^{5} c^{10} d^{4} - 35 \, a^{3} b^{4} c^{9} d^{5} + 35 \, a^{4} b^{3} c^{8} d^{6} - 21 \, a^{5} b^{2} c^{7} d^{7} + 7 \, a^{6} b c^{6} d^{8} - a^{7} c^{5} d^{9}\right)} x^{2} + 7 \, {\left(b^{7} c^{13} d - 7 \, a b^{6} c^{12} d^{2} + 21 \, a^{2} b^{5} c^{11} d^{3} - 35 \, a^{3} b^{4} c^{10} d^{4} + 35 \, a^{4} b^{3} c^{9} d^{5} - 21 \, a^{5} b^{2} c^{8} d^{6} + 7 \, a^{6} b c^{7} d^{7} - a^{7} c^{6} d^{8}\right)} x\right)}}"," ",0,"b^7*log(b*x + a)/(b^8*c^8 - 8*a*b^7*c^7*d + 28*a^2*b^6*c^6*d^2 - 56*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 - 56*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 - 8*a^7*b*c*d^7 + a^8*d^8) - b^7*log(d*x + c)/(b^8*c^8 - 8*a*b^7*c^7*d + 28*a^2*b^6*c^6*d^2 - 56*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 - 56*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 - 8*a^7*b*c*d^7 + a^8*d^8) + 1/420*(420*b^6*d^6*x^6 + 1089*b^6*c^6 - 1851*a*b^5*c^5*d + 2559*a^2*b^4*c^4*d^2 - 2341*a^3*b^3*c^3*d^3 + 1334*a^4*b^2*c^2*d^4 - 430*a^5*b*c*d^5 + 60*a^6*d^6 + 210*(13*b^6*c*d^5 - a*b^5*d^6)*x^5 + 70*(107*b^6*c^2*d^4 - 19*a*b^5*c*d^5 + 2*a^2*b^4*d^6)*x^4 + 35*(319*b^6*c^3*d^3 - 101*a*b^5*c^2*d^4 + 25*a^2*b^4*c*d^5 - 3*a^3*b^3*d^6)*x^3 + 21*(459*b^6*c^4*d^2 - 241*a*b^5*c^3*d^3 + 109*a^2*b^4*c^2*d^4 - 31*a^3*b^3*c*d^5 + 4*a^4*b^2*d^6)*x^2 + 7*(669*b^6*c^5*d - 591*a*b^5*c^4*d^2 + 459*a^2*b^4*c^3*d^3 - 241*a^3*b^3*c^2*d^4 + 74*a^4*b^2*c*d^5 - 10*a^5*b*d^6)*x)/(b^7*c^14 - 7*a*b^6*c^13*d + 21*a^2*b^5*c^12*d^2 - 35*a^3*b^4*c^11*d^3 + 35*a^4*b^3*c^10*d^4 - 21*a^5*b^2*c^9*d^5 + 7*a^6*b*c^8*d^6 - a^7*c^7*d^7 + (b^7*c^7*d^7 - 7*a*b^6*c^6*d^8 + 21*a^2*b^5*c^5*d^9 - 35*a^3*b^4*c^4*d^10 + 35*a^4*b^3*c^3*d^11 - 21*a^5*b^2*c^2*d^12 + 7*a^6*b*c*d^13 - a^7*d^14)*x^7 + 7*(b^7*c^8*d^6 - 7*a*b^6*c^7*d^7 + 21*a^2*b^5*c^6*d^8 - 35*a^3*b^4*c^5*d^9 + 35*a^4*b^3*c^4*d^10 - 21*a^5*b^2*c^3*d^11 + 7*a^6*b*c^2*d^12 - a^7*c*d^13)*x^6 + 21*(b^7*c^9*d^5 - 7*a*b^6*c^8*d^6 + 21*a^2*b^5*c^7*d^7 - 35*a^3*b^4*c^6*d^8 + 35*a^4*b^3*c^5*d^9 - 21*a^5*b^2*c^4*d^10 + 7*a^6*b*c^3*d^11 - a^7*c^2*d^12)*x^5 + 35*(b^7*c^10*d^4 - 7*a*b^6*c^9*d^5 + 21*a^2*b^5*c^8*d^6 - 35*a^3*b^4*c^7*d^7 + 35*a^4*b^3*c^6*d^8 - 21*a^5*b^2*c^5*d^9 + 7*a^6*b*c^4*d^10 - a^7*c^3*d^11)*x^4 + 35*(b^7*c^11*d^3 - 7*a*b^6*c^10*d^4 + 21*a^2*b^5*c^9*d^5 - 35*a^3*b^4*c^8*d^6 + 35*a^4*b^3*c^7*d^7 - 21*a^5*b^2*c^6*d^8 + 7*a^6*b*c^5*d^9 - a^7*c^4*d^10)*x^3 + 21*(b^7*c^12*d^2 - 7*a*b^6*c^11*d^3 + 21*a^2*b^5*c^10*d^4 - 35*a^3*b^4*c^9*d^5 + 35*a^4*b^3*c^8*d^6 - 21*a^5*b^2*c^7*d^7 + 7*a^6*b*c^6*d^8 - a^7*c^5*d^9)*x^2 + 7*(b^7*c^13*d - 7*a*b^6*c^12*d^2 + 21*a^2*b^5*c^11*d^3 - 35*a^3*b^4*c^10*d^4 + 35*a^4*b^3*c^9*d^5 - 21*a^5*b^2*c^8*d^6 + 7*a^6*b*c^7*d^7 - a^7*c^6*d^8)*x)","B",0
1373,1,1881,0,3.882590," ","integrate(1/(b*x+a)^2/(d*x+c)^8,x, algorithm=""maxima"")","-\frac{8 \, b^{7} d \log\left(b x + a\right)}{b^{9} c^{9} - 9 \, a b^{8} c^{8} d + 36 \, a^{2} b^{7} c^{7} d^{2} - 84 \, a^{3} b^{6} c^{6} d^{3} + 126 \, a^{4} b^{5} c^{5} d^{4} - 126 \, a^{5} b^{4} c^{4} d^{5} + 84 \, a^{6} b^{3} c^{3} d^{6} - 36 \, a^{7} b^{2} c^{2} d^{7} + 9 \, a^{8} b c d^{8} - a^{9} d^{9}} + \frac{8 \, b^{7} d \log\left(d x + c\right)}{b^{9} c^{9} - 9 \, a b^{8} c^{8} d + 36 \, a^{2} b^{7} c^{7} d^{2} - 84 \, a^{3} b^{6} c^{6} d^{3} + 126 \, a^{4} b^{5} c^{5} d^{4} - 126 \, a^{5} b^{4} c^{4} d^{5} + 84 \, a^{6} b^{3} c^{3} d^{6} - 36 \, a^{7} b^{2} c^{2} d^{7} + 9 \, a^{8} b c d^{8} - a^{9} d^{9}} - \frac{840 \, b^{7} d^{7} x^{7} + 105 \, b^{7} c^{7} + 1443 \, a b^{6} c^{6} d - 1497 \, a^{2} b^{5} c^{5} d^{2} + 1443 \, a^{3} b^{4} c^{4} d^{3} - 1007 \, a^{4} b^{3} c^{3} d^{4} + 463 \, a^{5} b^{2} c^{2} d^{5} - 125 \, a^{6} b c d^{6} + 15 \, a^{7} d^{7} + 420 \, {\left(13 \, b^{7} c d^{6} + a b^{6} d^{7}\right)} x^{6} + 140 \, {\left(107 \, b^{7} c^{2} d^{5} + 20 \, a b^{6} c d^{6} - a^{2} b^{5} d^{7}\right)} x^{5} + 70 \, {\left(319 \, b^{7} c^{3} d^{4} + 113 \, a b^{6} c^{2} d^{5} - 13 \, a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} x^{4} + 14 \, {\left(1377 \, b^{7} c^{4} d^{3} + 872 \, a b^{6} c^{3} d^{4} - 178 \, a^{2} b^{5} c^{2} d^{5} + 32 \, a^{3} b^{4} c d^{6} - 3 \, a^{4} b^{3} d^{7}\right)} x^{3} + 14 \, {\left(669 \, b^{7} c^{5} d^{2} + 786 \, a b^{6} c^{4} d^{3} - 264 \, a^{2} b^{5} c^{3} d^{4} + 86 \, a^{3} b^{4} c^{2} d^{5} - 19 \, a^{4} b^{3} c d^{6} + 2 \, a^{5} b^{2} d^{7}\right)} x^{2} + 2 \, {\left(1089 \, b^{7} c^{6} d + 2832 \, a b^{6} c^{5} d^{2} - 1578 \, a^{2} b^{5} c^{4} d^{3} + 872 \, a^{3} b^{4} c^{3} d^{4} - 353 \, a^{4} b^{3} c^{2} d^{5} + 88 \, a^{5} b^{2} c d^{6} - 10 \, a^{6} b d^{7}\right)} x}{105 \, {\left(a b^{8} c^{15} - 8 \, a^{2} b^{7} c^{14} d + 28 \, a^{3} b^{6} c^{13} d^{2} - 56 \, a^{4} b^{5} c^{12} d^{3} + 70 \, a^{5} b^{4} c^{11} d^{4} - 56 \, a^{6} b^{3} c^{10} d^{5} + 28 \, a^{7} b^{2} c^{9} d^{6} - 8 \, a^{8} b c^{8} d^{7} + a^{9} c^{7} d^{8} + {\left(b^{9} c^{8} d^{7} - 8 \, a b^{8} c^{7} d^{8} + 28 \, a^{2} b^{7} c^{6} d^{9} - 56 \, a^{3} b^{6} c^{5} d^{10} + 70 \, a^{4} b^{5} c^{4} d^{11} - 56 \, a^{5} b^{4} c^{3} d^{12} + 28 \, a^{6} b^{3} c^{2} d^{13} - 8 \, a^{7} b^{2} c d^{14} + a^{8} b d^{15}\right)} x^{8} + {\left(7 \, b^{9} c^{9} d^{6} - 55 \, a b^{8} c^{8} d^{7} + 188 \, a^{2} b^{7} c^{7} d^{8} - 364 \, a^{3} b^{6} c^{6} d^{9} + 434 \, a^{4} b^{5} c^{5} d^{10} - 322 \, a^{5} b^{4} c^{4} d^{11} + 140 \, a^{6} b^{3} c^{3} d^{12} - 28 \, a^{7} b^{2} c^{2} d^{13} - a^{8} b c d^{14} + a^{9} d^{15}\right)} x^{7} + 7 \, {\left(3 \, b^{9} c^{10} d^{5} - 23 \, a b^{8} c^{9} d^{6} + 76 \, a^{2} b^{7} c^{8} d^{7} - 140 \, a^{3} b^{6} c^{7} d^{8} + 154 \, a^{4} b^{5} c^{6} d^{9} - 98 \, a^{5} b^{4} c^{5} d^{10} + 28 \, a^{6} b^{3} c^{4} d^{11} + 4 \, a^{7} b^{2} c^{3} d^{12} - 5 \, a^{8} b c^{2} d^{13} + a^{9} c d^{14}\right)} x^{6} + 7 \, {\left(5 \, b^{9} c^{11} d^{4} - 37 \, a b^{8} c^{10} d^{5} + 116 \, a^{2} b^{7} c^{9} d^{6} - 196 \, a^{3} b^{6} c^{8} d^{7} + 182 \, a^{4} b^{5} c^{7} d^{8} - 70 \, a^{5} b^{4} c^{6} d^{9} - 28 \, a^{6} b^{3} c^{5} d^{10} + 44 \, a^{7} b^{2} c^{4} d^{11} - 19 \, a^{8} b c^{3} d^{12} + 3 \, a^{9} c^{2} d^{13}\right)} x^{5} + 35 \, {\left(b^{9} c^{12} d^{3} - 7 \, a b^{8} c^{11} d^{4} + 20 \, a^{2} b^{7} c^{10} d^{5} - 28 \, a^{3} b^{6} c^{9} d^{6} + 14 \, a^{4} b^{5} c^{8} d^{7} + 14 \, a^{5} b^{4} c^{7} d^{8} - 28 \, a^{6} b^{3} c^{6} d^{9} + 20 \, a^{7} b^{2} c^{5} d^{10} - 7 \, a^{8} b c^{4} d^{11} + a^{9} c^{3} d^{12}\right)} x^{4} + 7 \, {\left(3 \, b^{9} c^{13} d^{2} - 19 \, a b^{8} c^{12} d^{3} + 44 \, a^{2} b^{7} c^{11} d^{4} - 28 \, a^{3} b^{6} c^{10} d^{5} - 70 \, a^{4} b^{5} c^{9} d^{6} + 182 \, a^{5} b^{4} c^{8} d^{7} - 196 \, a^{6} b^{3} c^{7} d^{8} + 116 \, a^{7} b^{2} c^{6} d^{9} - 37 \, a^{8} b c^{5} d^{10} + 5 \, a^{9} c^{4} d^{11}\right)} x^{3} + 7 \, {\left(b^{9} c^{14} d - 5 \, a b^{8} c^{13} d^{2} + 4 \, a^{2} b^{7} c^{12} d^{3} + 28 \, a^{3} b^{6} c^{11} d^{4} - 98 \, a^{4} b^{5} c^{10} d^{5} + 154 \, a^{5} b^{4} c^{9} d^{6} - 140 \, a^{6} b^{3} c^{8} d^{7} + 76 \, a^{7} b^{2} c^{7} d^{8} - 23 \, a^{8} b c^{6} d^{9} + 3 \, a^{9} c^{5} d^{10}\right)} x^{2} + {\left(b^{9} c^{15} - a b^{8} c^{14} d - 28 \, a^{2} b^{7} c^{13} d^{2} + 140 \, a^{3} b^{6} c^{12} d^{3} - 322 \, a^{4} b^{5} c^{11} d^{4} + 434 \, a^{5} b^{4} c^{10} d^{5} - 364 \, a^{6} b^{3} c^{9} d^{6} + 188 \, a^{7} b^{2} c^{8} d^{7} - 55 \, a^{8} b c^{7} d^{8} + 7 \, a^{9} c^{6} d^{9}\right)} x\right)}}"," ",0,"-8*b^7*d*log(b*x + a)/(b^9*c^9 - 9*a*b^8*c^8*d + 36*a^2*b^7*c^7*d^2 - 84*a^3*b^6*c^6*d^3 + 126*a^4*b^5*c^5*d^4 - 126*a^5*b^4*c^4*d^5 + 84*a^6*b^3*c^3*d^6 - 36*a^7*b^2*c^2*d^7 + 9*a^8*b*c*d^8 - a^9*d^9) + 8*b^7*d*log(d*x + c)/(b^9*c^9 - 9*a*b^8*c^8*d + 36*a^2*b^7*c^7*d^2 - 84*a^3*b^6*c^6*d^3 + 126*a^4*b^5*c^5*d^4 - 126*a^5*b^4*c^4*d^5 + 84*a^6*b^3*c^3*d^6 - 36*a^7*b^2*c^2*d^7 + 9*a^8*b*c*d^8 - a^9*d^9) - 1/105*(840*b^7*d^7*x^7 + 105*b^7*c^7 + 1443*a*b^6*c^6*d - 1497*a^2*b^5*c^5*d^2 + 1443*a^3*b^4*c^4*d^3 - 1007*a^4*b^3*c^3*d^4 + 463*a^5*b^2*c^2*d^5 - 125*a^6*b*c*d^6 + 15*a^7*d^7 + 420*(13*b^7*c*d^6 + a*b^6*d^7)*x^6 + 140*(107*b^7*c^2*d^5 + 20*a*b^6*c*d^6 - a^2*b^5*d^7)*x^5 + 70*(319*b^7*c^3*d^4 + 113*a*b^6*c^2*d^5 - 13*a^2*b^5*c*d^6 + a^3*b^4*d^7)*x^4 + 14*(1377*b^7*c^4*d^3 + 872*a*b^6*c^3*d^4 - 178*a^2*b^5*c^2*d^5 + 32*a^3*b^4*c*d^6 - 3*a^4*b^3*d^7)*x^3 + 14*(669*b^7*c^5*d^2 + 786*a*b^6*c^4*d^3 - 264*a^2*b^5*c^3*d^4 + 86*a^3*b^4*c^2*d^5 - 19*a^4*b^3*c*d^6 + 2*a^5*b^2*d^7)*x^2 + 2*(1089*b^7*c^6*d + 2832*a*b^6*c^5*d^2 - 1578*a^2*b^5*c^4*d^3 + 872*a^3*b^4*c^3*d^4 - 353*a^4*b^3*c^2*d^5 + 88*a^5*b^2*c*d^6 - 10*a^6*b*d^7)*x)/(a*b^8*c^15 - 8*a^2*b^7*c^14*d + 28*a^3*b^6*c^13*d^2 - 56*a^4*b^5*c^12*d^3 + 70*a^5*b^4*c^11*d^4 - 56*a^6*b^3*c^10*d^5 + 28*a^7*b^2*c^9*d^6 - 8*a^8*b*c^8*d^7 + a^9*c^7*d^8 + (b^9*c^8*d^7 - 8*a*b^8*c^7*d^8 + 28*a^2*b^7*c^6*d^9 - 56*a^3*b^6*c^5*d^10 + 70*a^4*b^5*c^4*d^11 - 56*a^5*b^4*c^3*d^12 + 28*a^6*b^3*c^2*d^13 - 8*a^7*b^2*c*d^14 + a^8*b*d^15)*x^8 + (7*b^9*c^9*d^6 - 55*a*b^8*c^8*d^7 + 188*a^2*b^7*c^7*d^8 - 364*a^3*b^6*c^6*d^9 + 434*a^4*b^5*c^5*d^10 - 322*a^5*b^4*c^4*d^11 + 140*a^6*b^3*c^3*d^12 - 28*a^7*b^2*c^2*d^13 - a^8*b*c*d^14 + a^9*d^15)*x^7 + 7*(3*b^9*c^10*d^5 - 23*a*b^8*c^9*d^6 + 76*a^2*b^7*c^8*d^7 - 140*a^3*b^6*c^7*d^8 + 154*a^4*b^5*c^6*d^9 - 98*a^5*b^4*c^5*d^10 + 28*a^6*b^3*c^4*d^11 + 4*a^7*b^2*c^3*d^12 - 5*a^8*b*c^2*d^13 + a^9*c*d^14)*x^6 + 7*(5*b^9*c^11*d^4 - 37*a*b^8*c^10*d^5 + 116*a^2*b^7*c^9*d^6 - 196*a^3*b^6*c^8*d^7 + 182*a^4*b^5*c^7*d^8 - 70*a^5*b^4*c^6*d^9 - 28*a^6*b^3*c^5*d^10 + 44*a^7*b^2*c^4*d^11 - 19*a^8*b*c^3*d^12 + 3*a^9*c^2*d^13)*x^5 + 35*(b^9*c^12*d^3 - 7*a*b^8*c^11*d^4 + 20*a^2*b^7*c^10*d^5 - 28*a^3*b^6*c^9*d^6 + 14*a^4*b^5*c^8*d^7 + 14*a^5*b^4*c^7*d^8 - 28*a^6*b^3*c^6*d^9 + 20*a^7*b^2*c^5*d^10 - 7*a^8*b*c^4*d^11 + a^9*c^3*d^12)*x^4 + 7*(3*b^9*c^13*d^2 - 19*a*b^8*c^12*d^3 + 44*a^2*b^7*c^11*d^4 - 28*a^3*b^6*c^10*d^5 - 70*a^4*b^5*c^9*d^6 + 182*a^5*b^4*c^8*d^7 - 196*a^6*b^3*c^7*d^8 + 116*a^7*b^2*c^6*d^9 - 37*a^8*b*c^5*d^10 + 5*a^9*c^4*d^11)*x^3 + 7*(b^9*c^14*d - 5*a*b^8*c^13*d^2 + 4*a^2*b^7*c^12*d^3 + 28*a^3*b^6*c^11*d^4 - 98*a^4*b^5*c^10*d^5 + 154*a^5*b^4*c^9*d^6 - 140*a^6*b^3*c^8*d^7 + 76*a^7*b^2*c^7*d^8 - 23*a^8*b*c^6*d^9 + 3*a^9*c^5*d^10)*x^2 + (b^9*c^15 - a*b^8*c^14*d - 28*a^2*b^7*c^13*d^2 + 140*a^3*b^6*c^12*d^3 - 322*a^4*b^5*c^11*d^4 + 434*a^5*b^4*c^10*d^5 - 364*a^6*b^3*c^9*d^6 + 188*a^7*b^2*c^8*d^7 - 55*a^8*b*c^7*d^8 + 7*a^9*c^6*d^9)*x)","B",0
1374,1,2399,0,5.222936," ","integrate(1/(b*x+a)^3/(d*x+c)^8,x, algorithm=""maxima"")","\frac{36 \, b^{7} d^{2} \log\left(b x + a\right)}{b^{10} c^{10} - 10 \, a b^{9} c^{9} d + 45 \, a^{2} b^{8} c^{8} d^{2} - 120 \, a^{3} b^{7} c^{7} d^{3} + 210 \, a^{4} b^{6} c^{6} d^{4} - 252 \, a^{5} b^{5} c^{5} d^{5} + 210 \, a^{6} b^{4} c^{4} d^{6} - 120 \, a^{7} b^{3} c^{3} d^{7} + 45 \, a^{8} b^{2} c^{2} d^{8} - 10 \, a^{9} b c d^{9} + a^{10} d^{10}} - \frac{36 \, b^{7} d^{2} \log\left(d x + c\right)}{b^{10} c^{10} - 10 \, a b^{9} c^{9} d + 45 \, a^{2} b^{8} c^{8} d^{2} - 120 \, a^{3} b^{7} c^{7} d^{3} + 210 \, a^{4} b^{6} c^{6} d^{4} - 252 \, a^{5} b^{5} c^{5} d^{5} + 210 \, a^{6} b^{4} c^{4} d^{6} - 120 \, a^{7} b^{3} c^{3} d^{7} + 45 \, a^{8} b^{2} c^{2} d^{8} - 10 \, a^{9} b c d^{9} + a^{10} d^{10}} + \frac{2520 \, b^{8} d^{8} x^{8} - 35 \, b^{8} c^{8} + 595 \, a b^{7} c^{7} d + 3349 \, a^{2} b^{6} c^{6} d^{2} - 2531 \, a^{3} b^{5} c^{5} d^{3} + 1879 \, a^{4} b^{4} c^{4} d^{4} - 1061 \, a^{5} b^{3} c^{3} d^{5} + 409 \, a^{6} b^{2} c^{2} d^{6} - 95 \, a^{7} b c d^{7} + 10 \, a^{8} d^{8} + 1260 \, {\left(13 \, b^{8} c d^{7} + 3 \, a b^{7} d^{8}\right)} x^{7} + 420 \, {\left(107 \, b^{8} c^{2} d^{6} + 59 \, a b^{7} c d^{7} + 2 \, a^{2} b^{6} d^{8}\right)} x^{6} + 210 \, {\left(319 \, b^{8} c^{3} d^{5} + 327 \, a b^{7} c^{2} d^{6} + 27 \, a^{2} b^{6} c d^{7} - a^{3} b^{5} d^{8}\right)} x^{5} + 42 \, {\left(1377 \, b^{8} c^{4} d^{4} + 2467 \, a b^{7} c^{3} d^{5} + 387 \, a^{2} b^{6} c^{2} d^{6} - 33 \, a^{3} b^{5} c d^{7} + 2 \, a^{4} b^{4} d^{8}\right)} x^{4} + 42 \, {\left(669 \, b^{8} c^{5} d^{3} + 2163 \, a b^{7} c^{4} d^{4} + 608 \, a^{2} b^{6} c^{3} d^{5} - 92 \, a^{3} b^{5} c^{2} d^{6} + 13 \, a^{4} b^{4} c d^{7} - a^{5} b^{3} d^{8}\right)} x^{3} + 6 \, {\left(1089 \, b^{8} c^{6} d^{2} + 7515 \, a b^{7} c^{5} d^{3} + 3924 \, a^{2} b^{6} c^{4} d^{4} - 976 \, a^{3} b^{5} c^{3} d^{5} + 249 \, a^{4} b^{4} c^{2} d^{6} - 45 \, a^{5} b^{3} c d^{7} + 4 \, a^{6} b^{2} d^{8}\right)} x^{2} + 3 \, {\left(105 \, b^{8} c^{7} d + 3621 \, a b^{7} c^{6} d^{2} + 4167 \, a^{2} b^{6} c^{5} d^{3} - 1713 \, a^{3} b^{5} c^{4} d^{4} + 737 \, a^{4} b^{4} c^{3} d^{5} - 243 \, a^{5} b^{3} c^{2} d^{6} + 51 \, a^{6} b^{2} c d^{7} - 5 \, a^{7} b d^{8}\right)} x}{70 \, {\left(a^{2} b^{9} c^{16} - 9 \, a^{3} b^{8} c^{15} d + 36 \, a^{4} b^{7} c^{14} d^{2} - 84 \, a^{5} b^{6} c^{13} d^{3} + 126 \, a^{6} b^{5} c^{12} d^{4} - 126 \, a^{7} b^{4} c^{11} d^{5} + 84 \, a^{8} b^{3} c^{10} d^{6} - 36 \, a^{9} b^{2} c^{9} d^{7} + 9 \, a^{10} b c^{8} d^{8} - a^{11} c^{7} d^{9} + {\left(b^{11} c^{9} d^{7} - 9 \, a b^{10} c^{8} d^{8} + 36 \, a^{2} b^{9} c^{7} d^{9} - 84 \, a^{3} b^{8} c^{6} d^{10} + 126 \, a^{4} b^{7} c^{5} d^{11} - 126 \, a^{5} b^{6} c^{4} d^{12} + 84 \, a^{6} b^{5} c^{3} d^{13} - 36 \, a^{7} b^{4} c^{2} d^{14} + 9 \, a^{8} b^{3} c d^{15} - a^{9} b^{2} d^{16}\right)} x^{9} + {\left(7 \, b^{11} c^{10} d^{6} - 61 \, a b^{10} c^{9} d^{7} + 234 \, a^{2} b^{9} c^{8} d^{8} - 516 \, a^{3} b^{8} c^{7} d^{9} + 714 \, a^{4} b^{7} c^{6} d^{10} - 630 \, a^{5} b^{6} c^{5} d^{11} + 336 \, a^{6} b^{5} c^{4} d^{12} - 84 \, a^{7} b^{4} c^{3} d^{13} - 9 \, a^{8} b^{3} c^{2} d^{14} + 11 \, a^{9} b^{2} c d^{15} - 2 \, a^{10} b d^{16}\right)} x^{8} + {\left(21 \, b^{11} c^{11} d^{5} - 175 \, a b^{10} c^{10} d^{6} + 631 \, a^{2} b^{9} c^{9} d^{7} - 1269 \, a^{3} b^{8} c^{8} d^{8} + 1506 \, a^{4} b^{7} c^{7} d^{9} - 966 \, a^{5} b^{6} c^{6} d^{10} + 126 \, a^{6} b^{5} c^{5} d^{11} + 294 \, a^{7} b^{4} c^{4} d^{12} - 231 \, a^{8} b^{3} c^{3} d^{13} + 69 \, a^{9} b^{2} c^{2} d^{14} - 5 \, a^{10} b c d^{15} - a^{11} d^{16}\right)} x^{7} + 7 \, {\left(5 \, b^{11} c^{12} d^{4} - 39 \, a b^{10} c^{11} d^{5} + 127 \, a^{2} b^{9} c^{10} d^{6} - 213 \, a^{3} b^{8} c^{9} d^{7} + 162 \, a^{4} b^{7} c^{8} d^{8} + 42 \, a^{5} b^{6} c^{7} d^{9} - 210 \, a^{6} b^{5} c^{6} d^{10} + 198 \, a^{7} b^{4} c^{5} d^{11} - 87 \, a^{8} b^{3} c^{4} d^{12} + 13 \, a^{9} b^{2} c^{3} d^{13} + 3 \, a^{10} b c^{2} d^{14} - a^{11} c d^{15}\right)} x^{6} + 7 \, {\left(5 \, b^{11} c^{13} d^{3} - 35 \, a b^{10} c^{12} d^{4} + 93 \, a^{2} b^{9} c^{11} d^{5} - 87 \, a^{3} b^{8} c^{10} d^{6} - 102 \, a^{4} b^{7} c^{9} d^{7} + 378 \, a^{5} b^{6} c^{8} d^{8} - 462 \, a^{6} b^{5} c^{7} d^{9} + 282 \, a^{7} b^{4} c^{6} d^{10} - 63 \, a^{8} b^{3} c^{5} d^{11} - 23 \, a^{9} b^{2} c^{4} d^{12} + 17 \, a^{10} b c^{3} d^{13} - 3 \, a^{11} c^{2} d^{14}\right)} x^{5} + 7 \, {\left(3 \, b^{11} c^{14} d^{2} - 17 \, a b^{10} c^{13} d^{3} + 23 \, a^{2} b^{9} c^{12} d^{4} + 63 \, a^{3} b^{8} c^{11} d^{5} - 282 \, a^{4} b^{7} c^{10} d^{6} + 462 \, a^{5} b^{6} c^{9} d^{7} - 378 \, a^{6} b^{5} c^{8} d^{8} + 102 \, a^{7} b^{4} c^{7} d^{9} + 87 \, a^{8} b^{3} c^{6} d^{10} - 93 \, a^{9} b^{2} c^{5} d^{11} + 35 \, a^{10} b c^{4} d^{12} - 5 \, a^{11} c^{3} d^{13}\right)} x^{4} + 7 \, {\left(b^{11} c^{15} d - 3 \, a b^{10} c^{14} d^{2} - 13 \, a^{2} b^{9} c^{13} d^{3} + 87 \, a^{3} b^{8} c^{12} d^{4} - 198 \, a^{4} b^{7} c^{11} d^{5} + 210 \, a^{5} b^{6} c^{10} d^{6} - 42 \, a^{6} b^{5} c^{9} d^{7} - 162 \, a^{7} b^{4} c^{8} d^{8} + 213 \, a^{8} b^{3} c^{7} d^{9} - 127 \, a^{9} b^{2} c^{6} d^{10} + 39 \, a^{10} b c^{5} d^{11} - 5 \, a^{11} c^{4} d^{12}\right)} x^{3} + {\left(b^{11} c^{16} + 5 \, a b^{10} c^{15} d - 69 \, a^{2} b^{9} c^{14} d^{2} + 231 \, a^{3} b^{8} c^{13} d^{3} - 294 \, a^{4} b^{7} c^{12} d^{4} - 126 \, a^{5} b^{6} c^{11} d^{5} + 966 \, a^{6} b^{5} c^{10} d^{6} - 1506 \, a^{7} b^{4} c^{9} d^{7} + 1269 \, a^{8} b^{3} c^{8} d^{8} - 631 \, a^{9} b^{2} c^{7} d^{9} + 175 \, a^{10} b c^{6} d^{10} - 21 \, a^{11} c^{5} d^{11}\right)} x^{2} + {\left(2 \, a b^{10} c^{16} - 11 \, a^{2} b^{9} c^{15} d + 9 \, a^{3} b^{8} c^{14} d^{2} + 84 \, a^{4} b^{7} c^{13} d^{3} - 336 \, a^{5} b^{6} c^{12} d^{4} + 630 \, a^{6} b^{5} c^{11} d^{5} - 714 \, a^{7} b^{4} c^{10} d^{6} + 516 \, a^{8} b^{3} c^{9} d^{7} - 234 \, a^{9} b^{2} c^{8} d^{8} + 61 \, a^{10} b c^{7} d^{9} - 7 \, a^{11} c^{6} d^{10}\right)} x\right)}}"," ",0,"36*b^7*d^2*log(b*x + a)/(b^10*c^10 - 10*a*b^9*c^9*d + 45*a^2*b^8*c^8*d^2 - 120*a^3*b^7*c^7*d^3 + 210*a^4*b^6*c^6*d^4 - 252*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 - 120*a^7*b^3*c^3*d^7 + 45*a^8*b^2*c^2*d^8 - 10*a^9*b*c*d^9 + a^10*d^10) - 36*b^7*d^2*log(d*x + c)/(b^10*c^10 - 10*a*b^9*c^9*d + 45*a^2*b^8*c^8*d^2 - 120*a^3*b^7*c^7*d^3 + 210*a^4*b^6*c^6*d^4 - 252*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 - 120*a^7*b^3*c^3*d^7 + 45*a^8*b^2*c^2*d^8 - 10*a^9*b*c*d^9 + a^10*d^10) + 1/70*(2520*b^8*d^8*x^8 - 35*b^8*c^8 + 595*a*b^7*c^7*d + 3349*a^2*b^6*c^6*d^2 - 2531*a^3*b^5*c^5*d^3 + 1879*a^4*b^4*c^4*d^4 - 1061*a^5*b^3*c^3*d^5 + 409*a^6*b^2*c^2*d^6 - 95*a^7*b*c*d^7 + 10*a^8*d^8 + 1260*(13*b^8*c*d^7 + 3*a*b^7*d^8)*x^7 + 420*(107*b^8*c^2*d^6 + 59*a*b^7*c*d^7 + 2*a^2*b^6*d^8)*x^6 + 210*(319*b^8*c^3*d^5 + 327*a*b^7*c^2*d^6 + 27*a^2*b^6*c*d^7 - a^3*b^5*d^8)*x^5 + 42*(1377*b^8*c^4*d^4 + 2467*a*b^7*c^3*d^5 + 387*a^2*b^6*c^2*d^6 - 33*a^3*b^5*c*d^7 + 2*a^4*b^4*d^8)*x^4 + 42*(669*b^8*c^5*d^3 + 2163*a*b^7*c^4*d^4 + 608*a^2*b^6*c^3*d^5 - 92*a^3*b^5*c^2*d^6 + 13*a^4*b^4*c*d^7 - a^5*b^3*d^8)*x^3 + 6*(1089*b^8*c^6*d^2 + 7515*a*b^7*c^5*d^3 + 3924*a^2*b^6*c^4*d^4 - 976*a^3*b^5*c^3*d^5 + 249*a^4*b^4*c^2*d^6 - 45*a^5*b^3*c*d^7 + 4*a^6*b^2*d^8)*x^2 + 3*(105*b^8*c^7*d + 3621*a*b^7*c^6*d^2 + 4167*a^2*b^6*c^5*d^3 - 1713*a^3*b^5*c^4*d^4 + 737*a^4*b^4*c^3*d^5 - 243*a^5*b^3*c^2*d^6 + 51*a^6*b^2*c*d^7 - 5*a^7*b*d^8)*x)/(a^2*b^9*c^16 - 9*a^3*b^8*c^15*d + 36*a^4*b^7*c^14*d^2 - 84*a^5*b^6*c^13*d^3 + 126*a^6*b^5*c^12*d^4 - 126*a^7*b^4*c^11*d^5 + 84*a^8*b^3*c^10*d^6 - 36*a^9*b^2*c^9*d^7 + 9*a^10*b*c^8*d^8 - a^11*c^7*d^9 + (b^11*c^9*d^7 - 9*a*b^10*c^8*d^8 + 36*a^2*b^9*c^7*d^9 - 84*a^3*b^8*c^6*d^10 + 126*a^4*b^7*c^5*d^11 - 126*a^5*b^6*c^4*d^12 + 84*a^6*b^5*c^3*d^13 - 36*a^7*b^4*c^2*d^14 + 9*a^8*b^3*c*d^15 - a^9*b^2*d^16)*x^9 + (7*b^11*c^10*d^6 - 61*a*b^10*c^9*d^7 + 234*a^2*b^9*c^8*d^8 - 516*a^3*b^8*c^7*d^9 + 714*a^4*b^7*c^6*d^10 - 630*a^5*b^6*c^5*d^11 + 336*a^6*b^5*c^4*d^12 - 84*a^7*b^4*c^3*d^13 - 9*a^8*b^3*c^2*d^14 + 11*a^9*b^2*c*d^15 - 2*a^10*b*d^16)*x^8 + (21*b^11*c^11*d^5 - 175*a*b^10*c^10*d^6 + 631*a^2*b^9*c^9*d^7 - 1269*a^3*b^8*c^8*d^8 + 1506*a^4*b^7*c^7*d^9 - 966*a^5*b^6*c^6*d^10 + 126*a^6*b^5*c^5*d^11 + 294*a^7*b^4*c^4*d^12 - 231*a^8*b^3*c^3*d^13 + 69*a^9*b^2*c^2*d^14 - 5*a^10*b*c*d^15 - a^11*d^16)*x^7 + 7*(5*b^11*c^12*d^4 - 39*a*b^10*c^11*d^5 + 127*a^2*b^9*c^10*d^6 - 213*a^3*b^8*c^9*d^7 + 162*a^4*b^7*c^8*d^8 + 42*a^5*b^6*c^7*d^9 - 210*a^6*b^5*c^6*d^10 + 198*a^7*b^4*c^5*d^11 - 87*a^8*b^3*c^4*d^12 + 13*a^9*b^2*c^3*d^13 + 3*a^10*b*c^2*d^14 - a^11*c*d^15)*x^6 + 7*(5*b^11*c^13*d^3 - 35*a*b^10*c^12*d^4 + 93*a^2*b^9*c^11*d^5 - 87*a^3*b^8*c^10*d^6 - 102*a^4*b^7*c^9*d^7 + 378*a^5*b^6*c^8*d^8 - 462*a^6*b^5*c^7*d^9 + 282*a^7*b^4*c^6*d^10 - 63*a^8*b^3*c^5*d^11 - 23*a^9*b^2*c^4*d^12 + 17*a^10*b*c^3*d^13 - 3*a^11*c^2*d^14)*x^5 + 7*(3*b^11*c^14*d^2 - 17*a*b^10*c^13*d^3 + 23*a^2*b^9*c^12*d^4 + 63*a^3*b^8*c^11*d^5 - 282*a^4*b^7*c^10*d^6 + 462*a^5*b^6*c^9*d^7 - 378*a^6*b^5*c^8*d^8 + 102*a^7*b^4*c^7*d^9 + 87*a^8*b^3*c^6*d^10 - 93*a^9*b^2*c^5*d^11 + 35*a^10*b*c^4*d^12 - 5*a^11*c^3*d^13)*x^4 + 7*(b^11*c^15*d - 3*a*b^10*c^14*d^2 - 13*a^2*b^9*c^13*d^3 + 87*a^3*b^8*c^12*d^4 - 198*a^4*b^7*c^11*d^5 + 210*a^5*b^6*c^10*d^6 - 42*a^6*b^5*c^9*d^7 - 162*a^7*b^4*c^8*d^8 + 213*a^8*b^3*c^7*d^9 - 127*a^9*b^2*c^6*d^10 + 39*a^10*b*c^5*d^11 - 5*a^11*c^4*d^12)*x^3 + (b^11*c^16 + 5*a*b^10*c^15*d - 69*a^2*b^9*c^14*d^2 + 231*a^3*b^8*c^13*d^3 - 294*a^4*b^7*c^12*d^4 - 126*a^5*b^6*c^11*d^5 + 966*a^6*b^5*c^10*d^6 - 1506*a^7*b^4*c^9*d^7 + 1269*a^8*b^3*c^8*d^8 - 631*a^9*b^2*c^7*d^9 + 175*a^10*b*c^6*d^10 - 21*a^11*c^5*d^11)*x^2 + (2*a*b^10*c^16 - 11*a^2*b^9*c^15*d + 9*a^3*b^8*c^14*d^2 + 84*a^4*b^7*c^13*d^3 - 336*a^5*b^6*c^12*d^4 + 630*a^6*b^5*c^11*d^5 - 714*a^7*b^4*c^10*d^6 + 516*a^8*b^3*c^9*d^7 - 234*a^9*b^2*c^8*d^8 + 61*a^10*b*c^7*d^9 - 7*a^11*c^6*d^10)*x)","B",0
1375,1,259,0,1.424881," ","integrate((b*x+a)^5*(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(693 \, {\left(d x + c\right)}^{\frac{13}{2}} b^{5} - 4095 \, {\left(b^{5} c - a b^{4} d\right)} {\left(d x + c\right)}^{\frac{11}{2}} + 10010 \, {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(d x + c\right)}^{\frac{9}{2}} - 12870 \, {\left(b^{5} c^{3} - 3 \, a b^{4} c^{2} d + 3 \, a^{2} b^{3} c d^{2} - a^{3} b^{2} d^{3}\right)} {\left(d x + c\right)}^{\frac{7}{2}} + 9009 \, {\left(b^{5} c^{4} - 4 \, a b^{4} c^{3} d + 6 \, a^{2} b^{3} c^{2} d^{2} - 4 \, a^{3} b^{2} c d^{3} + a^{4} b d^{4}\right)} {\left(d x + c\right)}^{\frac{5}{2}} - 3003 \, {\left(b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}\right)} {\left(d x + c\right)}^{\frac{3}{2}}\right)}}{9009 \, d^{6}}"," ",0,"2/9009*(693*(d*x + c)^(13/2)*b^5 - 4095*(b^5*c - a*b^4*d)*(d*x + c)^(11/2) + 10010*(b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(d*x + c)^(9/2) - 12870*(b^5*c^3 - 3*a*b^4*c^2*d + 3*a^2*b^3*c*d^2 - a^3*b^2*d^3)*(d*x + c)^(7/2) + 9009*(b^5*c^4 - 4*a*b^4*c^3*d + 6*a^2*b^3*c^2*d^2 - 4*a^3*b^2*c*d^3 + a^4*b*d^4)*(d*x + c)^(5/2) - 3003*(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5)*(d*x + c)^(3/2))/d^6","A",0
1376,1,181,0,1.364716," ","integrate((b*x+a)^4*(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, {\left(d x + c\right)}^{\frac{11}{2}} b^{4} - 1540 \, {\left(b^{4} c - a b^{3} d\right)} {\left(d x + c\right)}^{\frac{9}{2}} + 2970 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} {\left(d x + c\right)}^{\frac{7}{2}} - 2772 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} {\left(d x + c\right)}^{\frac{5}{2}} + 1155 \, {\left(b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}\right)} {\left(d x + c\right)}^{\frac{3}{2}}\right)}}{3465 \, d^{5}}"," ",0,"2/3465*(315*(d*x + c)^(11/2)*b^4 - 1540*(b^4*c - a*b^3*d)*(d*x + c)^(9/2) + 2970*(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*(d*x + c)^(7/2) - 2772*(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3)*(d*x + c)^(5/2) + 1155*(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)*(d*x + c)^(3/2))/d^5","A",0
1377,1,118,0,1.374019," ","integrate((b*x+a)^3*(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} b^{3} - 135 \, {\left(b^{3} c - a b^{2} d\right)} {\left(d x + c\right)}^{\frac{7}{2}} + 189 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} {\left(d x + c\right)}^{\frac{5}{2}} - 105 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} {\left(d x + c\right)}^{\frac{3}{2}}\right)}}{315 \, d^{4}}"," ",0,"2/315*(35*(d*x + c)^(9/2)*b^3 - 135*(b^3*c - a*b^2*d)*(d*x + c)^(7/2) + 189*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*(d*x + c)^(5/2) - 105*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*(d*x + c)^(3/2))/d^4","A",0
1378,1,68,0,1.349553," ","integrate((b*x+a)^2*(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{2} - 42 \, {\left(b^{2} c - a b d\right)} {\left(d x + c\right)}^{\frac{5}{2}} + 35 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(d x + c\right)}^{\frac{3}{2}}\right)}}{105 \, d^{3}}"," ",0,"2/105*(15*(d*x + c)^(7/2)*b^2 - 42*(b^2*c - a*b*d)*(d*x + c)^(5/2) + 35*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(d*x + c)^(3/2))/d^3","A",0
1379,1,33,0,1.293622," ","integrate((b*x+a)*(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} b - 5 \, {\left(b c - a d\right)} {\left(d x + c\right)}^{\frac{3}{2}}\right)}}{15 \, d^{2}}"," ",0,"2/15*(3*(d*x + c)^(5/2)*b - 5*(b*c - a*d)*(d*x + c)^(3/2))/d^2","A",0
1380,1,12,0,1.350250," ","integrate((d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(d x + c\right)}^{\frac{3}{2}}}{3 \, d}"," ",0,"2/3*(d*x + c)^(3/2)/d","A",0
1381,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1382,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1383,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1384,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1385,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1386,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1387,1,259,0,1.346243," ","integrate((b*x+a)^5*(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, {\left(d x + c\right)}^{\frac{15}{2}} b^{5} - 17325 \, {\left(b^{5} c - a b^{4} d\right)} {\left(d x + c\right)}^{\frac{13}{2}} + 40950 \, {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(d x + c\right)}^{\frac{11}{2}} - 50050 \, {\left(b^{5} c^{3} - 3 \, a b^{4} c^{2} d + 3 \, a^{2} b^{3} c d^{2} - a^{3} b^{2} d^{3}\right)} {\left(d x + c\right)}^{\frac{9}{2}} + 32175 \, {\left(b^{5} c^{4} - 4 \, a b^{4} c^{3} d + 6 \, a^{2} b^{3} c^{2} d^{2} - 4 \, a^{3} b^{2} c d^{3} + a^{4} b d^{4}\right)} {\left(d x + c\right)}^{\frac{7}{2}} - 9009 \, {\left(b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}\right)} {\left(d x + c\right)}^{\frac{5}{2}}\right)}}{45045 \, d^{6}}"," ",0,"2/45045*(3003*(d*x + c)^(15/2)*b^5 - 17325*(b^5*c - a*b^4*d)*(d*x + c)^(13/2) + 40950*(b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(d*x + c)^(11/2) - 50050*(b^5*c^3 - 3*a*b^4*c^2*d + 3*a^2*b^3*c*d^2 - a^3*b^2*d^3)*(d*x + c)^(9/2) + 32175*(b^5*c^4 - 4*a*b^4*c^3*d + 6*a^2*b^3*c^2*d^2 - 4*a^3*b^2*c*d^3 + a^4*b*d^4)*(d*x + c)^(7/2) - 9009*(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5)*(d*x + c)^(5/2))/d^6","A",0
1388,1,181,0,1.355107," ","integrate((b*x+a)^4*(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(1155 \, {\left(d x + c\right)}^{\frac{13}{2}} b^{4} - 5460 \, {\left(b^{4} c - a b^{3} d\right)} {\left(d x + c\right)}^{\frac{11}{2}} + 10010 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} {\left(d x + c\right)}^{\frac{9}{2}} - 8580 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} {\left(d x + c\right)}^{\frac{7}{2}} + 3003 \, {\left(b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}\right)} {\left(d x + c\right)}^{\frac{5}{2}}\right)}}{15015 \, d^{5}}"," ",0,"2/15015*(1155*(d*x + c)^(13/2)*b^4 - 5460*(b^4*c - a*b^3*d)*(d*x + c)^(11/2) + 10010*(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*(d*x + c)^(9/2) - 8580*(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3)*(d*x + c)^(7/2) + 3003*(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)*(d*x + c)^(5/2))/d^5","A",0
1389,1,118,0,1.358758," ","integrate((b*x+a)^3*(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(105 \, {\left(d x + c\right)}^{\frac{11}{2}} b^{3} - 385 \, {\left(b^{3} c - a b^{2} d\right)} {\left(d x + c\right)}^{\frac{9}{2}} + 495 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} {\left(d x + c\right)}^{\frac{7}{2}} - 231 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} {\left(d x + c\right)}^{\frac{5}{2}}\right)}}{1155 \, d^{4}}"," ",0,"2/1155*(105*(d*x + c)^(11/2)*b^3 - 385*(b^3*c - a*b^2*d)*(d*x + c)^(9/2) + 495*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*(d*x + c)^(7/2) - 231*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*(d*x + c)^(5/2))/d^4","A",0
1390,1,68,0,1.378188," ","integrate((b*x+a)^2*(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} b^{2} - 90 \, {\left(b^{2} c - a b d\right)} {\left(d x + c\right)}^{\frac{7}{2}} + 63 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(d x + c\right)}^{\frac{5}{2}}\right)}}{315 \, d^{3}}"," ",0,"2/315*(35*(d*x + c)^(9/2)*b^2 - 90*(b^2*c - a*b*d)*(d*x + c)^(7/2) + 63*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(d*x + c)^(5/2))/d^3","A",0
1391,1,33,0,1.374032," ","integrate((b*x+a)*(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} b - 7 \, {\left(b c - a d\right)} {\left(d x + c\right)}^{\frac{5}{2}}\right)}}{35 \, d^{2}}"," ",0,"2/35*(5*(d*x + c)^(7/2)*b - 7*(b*c - a*d)*(d*x + c)^(5/2))/d^2","A",0
1392,1,12,0,1.359180," ","integrate((d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(d x + c\right)}^{\frac{5}{2}}}{5 \, d}"," ",0,"2/5*(d*x + c)^(5/2)/d","A",0
1393,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1394,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1395,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1396,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1397,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1398,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1399,1,259,0,1.361920," ","integrate((b*x+a)^5*(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(9009 \, {\left(d x + c\right)}^{\frac{17}{2}} b^{5} - 51051 \, {\left(b^{5} c - a b^{4} d\right)} {\left(d x + c\right)}^{\frac{15}{2}} + 117810 \, {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(d x + c\right)}^{\frac{13}{2}} - 139230 \, {\left(b^{5} c^{3} - 3 \, a b^{4} c^{2} d + 3 \, a^{2} b^{3} c d^{2} - a^{3} b^{2} d^{3}\right)} {\left(d x + c\right)}^{\frac{11}{2}} + 85085 \, {\left(b^{5} c^{4} - 4 \, a b^{4} c^{3} d + 6 \, a^{2} b^{3} c^{2} d^{2} - 4 \, a^{3} b^{2} c d^{3} + a^{4} b d^{4}\right)} {\left(d x + c\right)}^{\frac{9}{2}} - 21879 \, {\left(b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}\right)} {\left(d x + c\right)}^{\frac{7}{2}}\right)}}{153153 \, d^{6}}"," ",0,"2/153153*(9009*(d*x + c)^(17/2)*b^5 - 51051*(b^5*c - a*b^4*d)*(d*x + c)^(15/2) + 117810*(b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(d*x + c)^(13/2) - 139230*(b^5*c^3 - 3*a*b^4*c^2*d + 3*a^2*b^3*c*d^2 - a^3*b^2*d^3)*(d*x + c)^(11/2) + 85085*(b^5*c^4 - 4*a*b^4*c^3*d + 6*a^2*b^3*c^2*d^2 - 4*a^3*b^2*c*d^3 + a^4*b*d^4)*(d*x + c)^(9/2) - 21879*(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5)*(d*x + c)^(7/2))/d^6","A",0
1400,1,181,0,1.332104," ","integrate((b*x+a)^4*(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, {\left(d x + c\right)}^{\frac{15}{2}} b^{4} - 13860 \, {\left(b^{4} c - a b^{3} d\right)} {\left(d x + c\right)}^{\frac{13}{2}} + 24570 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} {\left(d x + c\right)}^{\frac{11}{2}} - 20020 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} {\left(d x + c\right)}^{\frac{9}{2}} + 6435 \, {\left(b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}\right)} {\left(d x + c\right)}^{\frac{7}{2}}\right)}}{45045 \, d^{5}}"," ",0,"2/45045*(3003*(d*x + c)^(15/2)*b^4 - 13860*(b^4*c - a*b^3*d)*(d*x + c)^(13/2) + 24570*(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*(d*x + c)^(11/2) - 20020*(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3)*(d*x + c)^(9/2) + 6435*(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)*(d*x + c)^(7/2))/d^5","A",0
1401,1,118,0,1.401555," ","integrate((b*x+a)^3*(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(231 \, {\left(d x + c\right)}^{\frac{13}{2}} b^{3} - 819 \, {\left(b^{3} c - a b^{2} d\right)} {\left(d x + c\right)}^{\frac{11}{2}} + 1001 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} {\left(d x + c\right)}^{\frac{9}{2}} - 429 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} {\left(d x + c\right)}^{\frac{7}{2}}\right)}}{3003 \, d^{4}}"," ",0,"2/3003*(231*(d*x + c)^(13/2)*b^3 - 819*(b^3*c - a*b^2*d)*(d*x + c)^(11/2) + 1001*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*(d*x + c)^(9/2) - 429*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*(d*x + c)^(7/2))/d^4","A",0
1402,1,68,0,1.380706," ","integrate((b*x+a)^2*(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} b^{2} - 154 \, {\left(b^{2} c - a b d\right)} {\left(d x + c\right)}^{\frac{9}{2}} + 99 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(d x + c\right)}^{\frac{7}{2}}\right)}}{693 \, d^{3}}"," ",0,"2/693*(63*(d*x + c)^(11/2)*b^2 - 154*(b^2*c - a*b*d)*(d*x + c)^(9/2) + 99*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(d*x + c)^(7/2))/d^3","A",0
1403,1,33,0,1.395410," ","integrate((b*x+a)*(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, {\left(d x + c\right)}^{\frac{9}{2}} b - 9 \, {\left(b c - a d\right)} {\left(d x + c\right)}^{\frac{7}{2}}\right)}}{63 \, d^{2}}"," ",0,"2/63*(7*(d*x + c)^(9/2)*b - 9*(b*c - a*d)*(d*x + c)^(7/2))/d^2","A",0
1404,1,12,0,1.295690," ","integrate((d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(d x + c\right)}^{\frac{7}{2}}}{7 \, d}"," ",0,"2/7*(d*x + c)^(7/2)/d","A",0
1405,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1406,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1407,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1408,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1409,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1410,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^6,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1411,1,29,0,2.970060," ","integrate((-1+x)^(1/2)/(1+x)^2,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{x - 1}\right) - \frac{\sqrt{x - 1}}{x + 1}"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(x - 1)) - sqrt(x - 1)/(x + 1)","A",0
1412,1,43,0,3.032752," ","integrate((-1+x)^(1/2)/(1+x)^3,x, algorithm=""maxima"")","\frac{1}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{x - 1}\right) + \frac{{\left(x - 1\right)}^{\frac{3}{2}} - 2 \, \sqrt{x - 1}}{8 \, {\left({\left(x - 1\right)}^{2} + 4 \, x\right)}}"," ",0,"1/16*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(x - 1)) + 1/8*((x - 1)^(3/2) - 2*sqrt(x - 1))/((x - 1)^2 + 4*x)","A",0
1413,1,283,0,1.382964," ","integrate((b*x+a)^5/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(693 \, \sqrt{d x + c} a^{5} + \frac{1155 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{4} b}{d} + \frac{462 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{3} b^{2}}{d^{2}} + \frac{198 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{2} b^{3}}{d^{3}} + \frac{11 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a b^{4}}{d^{4}} + \frac{{\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} b^{5}}{d^{5}}\right)}}{693 \, d}"," ",0,"2/693*(693*sqrt(d*x + c)*a^5 + 1155*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^4*b/d + 462*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^3*b^2/d^2 + 198*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^2*b^3/d^3 + 11*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a*b^4/d^4 + (63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*b^5/d^5)/d","B",0
1414,1,204,0,1.380678," ","integrate((b*x+a)^4/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, \sqrt{d x + c} a^{4} + \frac{420 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{3} b}{d} + \frac{126 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{2} b^{2}}{d^{2}} + \frac{36 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a b^{3}}{d^{3}} + \frac{{\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} b^{4}}{d^{4}}\right)}}{315 \, d}"," ",0,"2/315*(315*sqrt(d*x + c)*a^4 + 420*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^3*b/d + 126*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^2*b^2/d^2 + 36*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a*b^3/d^3 + (35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*b^4/d^4)/d","A",0
1415,1,137,0,1.377744," ","integrate((b*x+a)^3/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, \sqrt{d x + c} a^{3} + \frac{35 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{2} b}{d} + \frac{7 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a b^{2}}{d^{2}} + \frac{{\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} b^{3}}{d^{3}}\right)}}{35 \, d}"," ",0,"2/35*(35*sqrt(d*x + c)*a^3 + 35*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^2*b/d + 7*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a*b^2/d^2 + (5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*b^3/d^3)/d","A",0
1416,1,82,0,1.369035," ","integrate((b*x+a)^2/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, \sqrt{d x + c} a^{2} + \frac{10 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a b}{d} + \frac{{\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} b^{2}}{d^{2}}\right)}}{15 \, d}"," ",0,"2/15*(15*sqrt(d*x + c)*a^2 + 10*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a*b/d + (3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*b^2/d^2)/d","A",0
1417,1,39,0,1.345403," ","integrate((b*x+a)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, \sqrt{d x + c} a + \frac{{\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} b}{d}\right)}}{3 \, d}"," ",0,"2/3*(3*sqrt(d*x + c)*a + ((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*b/d)/d","A",0
1418,1,12,0,1.297823," ","integrate(1/(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{d x + c}}{d}"," ",0,"2*sqrt(d*x + c)/d","A",0
1419,-2,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1420,-2,0,0,0.000000," ","integrate(1/(b*x+a)^2/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1421,-2,0,0,0.000000," ","integrate(1/(b*x+a)^3/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1422,-2,0,0,0.000000," ","integrate(1/(b*x+a)^4/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1423,-2,0,0,0.000000," ","integrate(1/(b*x+a)^5/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1424,1,267,0,1.556045," ","integrate((b*x+a)^5/(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{7 \, {\left(d x + c\right)}^{\frac{9}{2}} b^{5} - 45 \, {\left(b^{5} c - a b^{4} d\right)} {\left(d x + c\right)}^{\frac{7}{2}} + 126 \, {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(d x + c\right)}^{\frac{5}{2}} - 210 \, {\left(b^{5} c^{3} - 3 \, a b^{4} c^{2} d + 3 \, a^{2} b^{3} c d^{2} - a^{3} b^{2} d^{3}\right)} {\left(d x + c\right)}^{\frac{3}{2}} + 315 \, {\left(b^{5} c^{4} - 4 \, a b^{4} c^{3} d + 6 \, a^{2} b^{3} c^{2} d^{2} - 4 \, a^{3} b^{2} c d^{3} + a^{4} b d^{4}\right)} \sqrt{d x + c}}{d^{5}} + \frac{63 \, {\left(b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}\right)}}{\sqrt{d x + c} d^{5}}\right)}}{63 \, d}"," ",0,"2/63*((7*(d*x + c)^(9/2)*b^5 - 45*(b^5*c - a*b^4*d)*(d*x + c)^(7/2) + 126*(b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(d*x + c)^(5/2) - 210*(b^5*c^3 - 3*a*b^4*c^2*d + 3*a^2*b^3*c*d^2 - a^3*b^2*d^3)*(d*x + c)^(3/2) + 315*(b^5*c^4 - 4*a*b^4*c^3*d + 6*a^2*b^3*c^2*d^2 - 4*a^3*b^2*c*d^3 + a^4*b*d^4)*sqrt(d*x + c))/d^5 + 63*(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5)/(sqrt(d*x + c)*d^5))/d","A",0
1425,1,189,0,1.352536," ","integrate((b*x+a)^4/(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{5 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{4} - 28 \, {\left(b^{4} c - a b^{3} d\right)} {\left(d x + c\right)}^{\frac{5}{2}} + 70 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} {\left(d x + c\right)}^{\frac{3}{2}} - 140 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} \sqrt{d x + c}}{d^{4}} - \frac{35 \, {\left(b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}\right)}}{\sqrt{d x + c} d^{4}}\right)}}{35 \, d}"," ",0,"2/35*((5*(d*x + c)^(7/2)*b^4 - 28*(b^4*c - a*b^3*d)*(d*x + c)^(5/2) + 70*(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*(d*x + c)^(3/2) - 140*(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3)*sqrt(d*x + c))/d^4 - 35*(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)/(sqrt(d*x + c)*d^4))/d","A",0
1426,1,125,0,1.381299," ","integrate((b*x+a)^3/(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(d x + c\right)}^{\frac{5}{2}} b^{3} - 5 \, {\left(b^{3} c - a b^{2} d\right)} {\left(d x + c\right)}^{\frac{3}{2}} + 15 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} \sqrt{d x + c}}{d^{3}} + \frac{5 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)}}{\sqrt{d x + c} d^{3}}\right)}}{5 \, d}"," ",0,"2/5*(((d*x + c)^(5/2)*b^3 - 5*(b^3*c - a*b^2*d)*(d*x + c)^(3/2) + 15*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*sqrt(d*x + c))/d^3 + 5*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)/(sqrt(d*x + c)*d^3))/d","A",0
1427,1,75,0,1.299804," ","integrate((b*x+a)^2/(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(d x + c\right)}^{\frac{3}{2}} b^{2} - 6 \, {\left(b^{2} c - a b d\right)} \sqrt{d x + c}}{d^{2}} - \frac{3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)}}{\sqrt{d x + c} d^{2}}\right)}}{3 \, d}"," ",0,"2/3*(((d*x + c)^(3/2)*b^2 - 6*(b^2*c - a*b*d)*sqrt(d*x + c))/d^2 - 3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(sqrt(d*x + c)*d^2))/d","A",0
1428,1,37,0,1.332383," ","integrate((b*x+a)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{\sqrt{d x + c} b}{d} + \frac{b c - a d}{\sqrt{d x + c} d}\right)}}{d}"," ",0,"2*(sqrt(d*x + c)*b/d + (b*c - a*d)/(sqrt(d*x + c)*d))/d","A",0
1429,1,12,0,1.331102," ","integrate(1/(d*x+c)^(3/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{d x + c} d}"," ",0,"-2/(sqrt(d*x + c)*d)","A",0
1430,-2,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1431,-2,0,0,0.000000," ","integrate(1/(b*x+a)^2/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1432,-2,0,0,0.000000," ","integrate(1/(b*x+a)^3/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1433,-2,0,0,0.000000," ","integrate(1/(b*x+a)^4/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1434,1,265,0,1.379602," ","integrate((b*x+a)^5/(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{5} - 21 \, {\left(b^{5} c - a b^{4} d\right)} {\left(d x + c\right)}^{\frac{5}{2}} + 70 \, {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(d x + c\right)}^{\frac{3}{2}} - 210 \, {\left(b^{5} c^{3} - 3 \, a b^{4} c^{2} d + 3 \, a^{2} b^{3} c d^{2} - a^{3} b^{2} d^{3}\right)} \sqrt{d x + c}}{d^{5}} + \frac{7 \, {\left(b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5} - 15 \, {\left(b^{5} c^{4} - 4 \, a b^{4} c^{3} d + 6 \, a^{2} b^{3} c^{2} d^{2} - 4 \, a^{3} b^{2} c d^{3} + a^{4} b d^{4}\right)} {\left(d x + c\right)}\right)}}{{\left(d x + c\right)}^{\frac{3}{2}} d^{5}}\right)}}{21 \, d}"," ",0,"2/21*((3*(d*x + c)^(7/2)*b^5 - 21*(b^5*c - a*b^4*d)*(d*x + c)^(5/2) + 70*(b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(d*x + c)^(3/2) - 210*(b^5*c^3 - 3*a*b^4*c^2*d + 3*a^2*b^3*c*d^2 - a^3*b^2*d^3)*sqrt(d*x + c))/d^5 + 7*(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5 - 15*(b^5*c^4 - 4*a*b^4*c^3*d + 6*a^2*b^3*c^2*d^2 - 4*a^3*b^2*c*d^3 + a^4*b*d^4)*(d*x + c))/((d*x + c)^(3/2)*d^5))/d","A",0
1435,1,187,0,1.461631," ","integrate((b*x+a)^4/(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{4} - 20 \, {\left(b^{4} c - a b^{3} d\right)} {\left(d x + c\right)}^{\frac{3}{2}} + 90 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} \sqrt{d x + c}}{d^{4}} - \frac{5 \, {\left(b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4} - 12 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} {\left(d x + c\right)}\right)}}{{\left(d x + c\right)}^{\frac{3}{2}} d^{4}}\right)}}{15 \, d}"," ",0,"2/15*((3*(d*x + c)^(5/2)*b^4 - 20*(b^4*c - a*b^3*d)*(d*x + c)^(3/2) + 90*(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*sqrt(d*x + c))/d^4 - 5*(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4 - 12*(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3)*(d*x + c))/((d*x + c)^(3/2)*d^4))/d","A",0
1436,1,122,0,1.373637," ","integrate((b*x+a)^3/(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{{\left(d x + c\right)}^{\frac{3}{2}} b^{3} - 9 \, {\left(b^{3} c - a b^{2} d\right)} \sqrt{d x + c}}{d^{3}} + \frac{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3} - 9 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} {\left(d x + c\right)}}{{\left(d x + c\right)}^{\frac{3}{2}} d^{3}}\right)}}{3 \, d}"," ",0,"2/3*(((d*x + c)^(3/2)*b^3 - 9*(b^3*c - a*b^2*d)*sqrt(d*x + c))/d^3 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3 - 9*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*(d*x + c))/((d*x + c)^(3/2)*d^3))/d","A",0
1437,1,72,0,1.394263," ","integrate((b*x+a)^2/(d*x+c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, \sqrt{d x + c} b^{2}}{d^{2}} - \frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2} - 6 \, {\left(b^{2} c - a b d\right)} {\left(d x + c\right)}}{{\left(d x + c\right)}^{\frac{3}{2}} d^{2}}\right)}}{3 \, d}"," ",0,"2/3*(3*sqrt(d*x + c)*b^2/d^2 - (b^2*c^2 - 2*a*b*c*d + a^2*d^2 - 6*(b^2*c - a*b*d)*(d*x + c))/((d*x + c)^(3/2)*d^2))/d","A",0
1438,1,28,0,1.278832," ","integrate((b*x+a)/(d*x+c)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, {\left(d x + c\right)} b - b c + a d\right)}}{3 \, {\left(d x + c\right)}^{\frac{3}{2}} d^{2}}"," ",0,"-2/3*(3*(d*x + c)*b - b*c + a*d)/((d*x + c)^(3/2)*d^2)","A",0
1439,1,12,0,1.363116," ","integrate(1/(d*x+c)^(5/2),x, algorithm=""maxima"")","-\frac{2}{3 \, {\left(d x + c\right)}^{\frac{3}{2}} d}"," ",0,"-2/3/((d*x + c)^(3/2)*d)","A",0
1440,-2,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1441,-2,0,0,0.000000," ","integrate(1/(b*x+a)^2/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1442,-2,0,0,0.000000," ","integrate(1/(b*x+a)^3/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1443,-2,0,0,0.000000," ","integrate(1/(b*x+a)^4/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1444,1,18,0,1.373497," ","integrate((b*x+a)^5*(b*c*x+a*c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b c x + a c\right)}^{\frac{15}{2}}}{15 \, b c^{6}}"," ",0,"2/15*(b*c*x + a*c)^(15/2)/(b*c^6)","A",0
1445,1,18,0,1.363683," ","integrate((b*x+a)^5*(b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b c x + a c\right)}^{\frac{13}{2}}}{13 \, b c^{6}}"," ",0,"2/13*(b*c*x + a*c)^(13/2)/(b*c^6)","A",0
1446,1,374,0,1.459543," ","integrate((b*x+a)^5/(b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(693 \, \sqrt{b c x + a c} a^{5} - \frac{1155 \, {\left(3 \, \sqrt{b c x + a c} a c - {\left(b c x + a c\right)}^{\frac{3}{2}}\right)} a^{4}}{c} + \frac{462 \, {\left(15 \, \sqrt{b c x + a c} a^{2} c^{2} - 10 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a c + 3 \, {\left(b c x + a c\right)}^{\frac{5}{2}}\right)} a^{3}}{c^{2}} - \frac{198 \, {\left(35 \, \sqrt{b c x + a c} a^{3} c^{3} - 35 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{2} c^{2} + 21 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a c - 5 \, {\left(b c x + a c\right)}^{\frac{7}{2}}\right)} a^{2}}{c^{3}} + \frac{11 \, {\left(315 \, \sqrt{b c x + a c} a^{4} c^{4} - 420 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{3} c^{3} + 378 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a^{2} c^{2} - 180 \, {\left(b c x + a c\right)}^{\frac{7}{2}} a c + 35 \, {\left(b c x + a c\right)}^{\frac{9}{2}}\right)} a}{c^{4}} - \frac{693 \, \sqrt{b c x + a c} a^{5} c^{5} - 1155 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{4} c^{4} + 1386 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a^{3} c^{3} - 990 \, {\left(b c x + a c\right)}^{\frac{7}{2}} a^{2} c^{2} + 385 \, {\left(b c x + a c\right)}^{\frac{9}{2}} a c - 63 \, {\left(b c x + a c\right)}^{\frac{11}{2}}}{c^{5}}\right)}}{693 \, b c}"," ",0,"2/693*(693*sqrt(b*c*x + a*c)*a^5 - 1155*(3*sqrt(b*c*x + a*c)*a*c - (b*c*x + a*c)^(3/2))*a^4/c + 462*(15*sqrt(b*c*x + a*c)*a^2*c^2 - 10*(b*c*x + a*c)^(3/2)*a*c + 3*(b*c*x + a*c)^(5/2))*a^3/c^2 - 198*(35*sqrt(b*c*x + a*c)*a^3*c^3 - 35*(b*c*x + a*c)^(3/2)*a^2*c^2 + 21*(b*c*x + a*c)^(5/2)*a*c - 5*(b*c*x + a*c)^(7/2))*a^2/c^3 + 11*(315*sqrt(b*c*x + a*c)*a^4*c^4 - 420*(b*c*x + a*c)^(3/2)*a^3*c^3 + 378*(b*c*x + a*c)^(5/2)*a^2*c^2 - 180*(b*c*x + a*c)^(7/2)*a*c + 35*(b*c*x + a*c)^(9/2))*a/c^4 - (693*sqrt(b*c*x + a*c)*a^5*c^5 - 1155*(b*c*x + a*c)^(3/2)*a^4*c^4 + 1386*(b*c*x + a*c)^(5/2)*a^3*c^3 - 990*(b*c*x + a*c)^(7/2)*a^2*c^2 + 385*(b*c*x + a*c)^(9/2)*a*c - 63*(b*c*x + a*c)^(11/2))/c^5)/(b*c)","B",0
1447,1,18,0,1.431420," ","integrate((b*x+a)^5/(b*c*x+a*c)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b c x + a c\right)}^{\frac{9}{2}}}{9 \, b c^{6}}"," ",0,"2/9*(b*c*x + a*c)^(9/2)/(b*c^6)","A",0
1448,1,18,0,1.380732," ","integrate((b*x+a)^5/(b*c*x+a*c)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b c x + a c\right)}^{\frac{7}{2}}}{7 \, b c^{6}}"," ",0,"2/7*(b*c*x + a*c)^(7/2)/(b*c^6)","A",0
1449,1,18,0,1.410604," ","integrate((b*x+a)^5/(b*c*x+a*c)^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b c x + a c\right)}^{\frac{5}{2}}}{5 \, b c^{6}}"," ",0,"2/5*(b*c*x + a*c)^(5/2)/(b*c^6)","A",0
1450,1,18,0,1.393079," ","integrate((b*x+a)^5/(b*c*x+a*c)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b c x + a c\right)}^{\frac{3}{2}}}{3 \, b c^{6}}"," ",0,"2/3*(b*c*x + a*c)^(3/2)/(b*c^6)","A",0
1451,1,18,0,1.383099," ","integrate((b*x+a)^5/(b*c*x+a*c)^(11/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b c x + a c}}{b c^{6}}"," ",0,"2*sqrt(b*c*x + a*c)/(b*c^6)","A",0
1452,1,18,0,1.339888," ","integrate((b*x+a)^5/(b*c*x+a*c)^(13/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{b c x + a c} b c^{6}}"," ",0,"-2/(sqrt(b*c*x + a*c)*b*c^6)","A",0
1453,1,21,0,1.350052," ","integrate(1/(-2+x)/(2+x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(\sqrt{x + 2} + 2\right) + \frac{1}{2} \, \log\left(\sqrt{x + 2} - 2\right)"," ",0,"-1/2*log(sqrt(x + 2) + 2) + 1/2*log(sqrt(x + 2) - 2)","B",0
1454,1,18,0,3.002731," ","integrate(1/(2+3*x)/(1+5*x)^(1/2),x, algorithm=""maxima"")","\frac{2}{21} \, \sqrt{21} \arctan\left(\frac{1}{7} \, \sqrt{21} \sqrt{5 \, x + 1}\right)"," ",0,"2/21*sqrt(21)*arctan(1/7*sqrt(21)*sqrt(5*x + 1))","A",0
1455,1,86,0,3.003445," ","integrate((1-x)^(1/3)/(1+x),x, algorithm=""maxima"")","-\sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x + 1\right)}^{\frac{1}{3}}\right)}\right) - \frac{1}{2} \cdot 2^{\frac{1}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{1}{3}} + {\left(-x + 1\right)}^{\frac{2}{3}}\right) + 2^{\frac{1}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x + 1\right)}^{\frac{1}{3}}\right) + 3 \, {\left(-x + 1\right)}^{\frac{1}{3}}"," ",0,"-sqrt(3)*2^(1/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x + 1)^(1/3))) - 1/2*2^(1/3)*log(2^(2/3) + 2^(1/3)*(-x + 1)^(1/3) + (-x + 1)^(2/3)) + 2^(1/3)*log(-2^(1/3) + (-x + 1)^(1/3)) + 3*(-x + 1)^(1/3)","A",0
1456,1,19,0,1.348768," ","integrate((3-2*x)^(1/3)*(7+x),x, algorithm=""maxima"")","\frac{3}{28} \, {\left(-2 \, x + 3\right)}^{\frac{7}{3}} - \frac{51}{16} \, {\left(-2 \, x + 3\right)}^{\frac{4}{3}}"," ",0,"3/28*(-2*x + 3)^(7/3) - 51/16*(-2*x + 3)^(4/3)","A",0
1457,1,28,0,1.360250," ","integrate((1-x)^(1/3)*(1+x)^2,x, algorithm=""maxima"")","-\frac{3}{10} \, {\left(-x + 1\right)}^{\frac{10}{3}} + \frac{12}{7} \, {\left(-x + 1\right)}^{\frac{7}{3}} - 3 \, {\left(-x + 1\right)}^{\frac{4}{3}}"," ",0,"-3/10*(-x + 1)^(10/3) + 12/7*(-x + 1)^(7/3) - 3*(-x + 1)^(4/3)","A",0
1458,-2,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1459,-2,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
1460,-2,0,0,0.000000," ","integrate((b*x+a)^(7/2)*(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1461,-2,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1462,-2,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1463,-2,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1464,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1465,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1466,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1467,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1468,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^(9/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1469,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^(11/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1470,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^(13/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1471,-2,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1472,-2,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1473,-2,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1474,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1475,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1476,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1477,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1478,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)^(9/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1479,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)^(11/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1480,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)^(13/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1481,-2,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1482,-2,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1483,-2,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1484,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1485,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1486,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1487,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1488,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^(9/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1489,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^(11/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1490,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^(13/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1491,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/(b*x+a)^(15/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1492,-2,0,0,0.000000," ","integrate((b*x+a)^(7/2)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1493,-2,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1494,-2,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1495,-2,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1496,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1497,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1498,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1499,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(7/2)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1500,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(9/2)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1501,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(11/2)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1502,-2,0,0,0.000000," ","integrate((b*x+a)^(7/2)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1503,-2,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1504,-2,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1505,-2,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1506,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1507,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1508,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1509,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(7/2)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1510,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(9/2)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1511,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(11/2)/(d*x+c)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1512,-2,0,0,0.000000," ","integrate((b*x+a)^(9/2)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1513,-2,0,0,0.000000," ","integrate((b*x+a)^(7/2)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1514,-2,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1515,-2,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1516,-2,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1517,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1518,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1519,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1520,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(7/2)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1521,-2,0,0,0.000000," ","integrate(1/(b*x+a)^(9/2)/(d*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1522,1,48,0,1.360716," ","integrate(1/(b*x+a)^(1/2)/(b*x+a+4)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, a b + 2 \, \sqrt{b^{2} x^{2} + a^{2} + 2 \, {\left(a b + 2 \, b\right)} x + 4 \, a} b + 4 \, b\right)}{b}"," ",0,"log(2*b^2*x + 2*a*b + 2*sqrt(b^2*x^2 + a^2 + 2*(a*b + 2*b)*x + 4*a)*b + 4*b)/b","B",0
1523,1,33,0,1.365974," ","integrate(1/(b*x+2)^(1/2)/(b*x+6)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} + 8 \, b x + 12} b + 8 \, b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 + 8*b*x + 12)*b + 8*b)/b","B",0
1524,1,33,0,1.388917," ","integrate(1/(b*x+1)^(1/2)/(b*x+5)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} + 6 \, b x + 5} b + 6 \, b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 + 6*b*x + 5)*b + 6*b)/b","B",0
1525,1,32,0,1.329646," ","integrate(1/(b*x)^(1/2)/(b*x+4)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} + 4 \, b x} b + 4 \, b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 + 4*b*x)*b + 4*b)/b","B",0
1526,1,33,0,1.316197," ","integrate(1/(b*x-1)^(1/2)/(b*x+3)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} + 2 \, b x - 3} b + 2 \, b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 + 2*b*x - 3)*b + 2*b)/b","B",0
1527,1,26,0,1.328532," ","integrate(1/(b*x-2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} - 4} b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 - 4)*b)/b","B",0
1528,1,33,0,1.375071," ","integrate(1/(b*x-3)^(1/2)/(b*x+1)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} - 2 \, b x - 3} b - 2 \, b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 - 2*b*x - 3)*b - 2*b)/b","B",0
1529,1,33,0,1.379873," ","integrate(1/(b*x+2)^(1/2)/(b*x+3)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} + 5 \, b x + 6} b + 5 \, b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 + 5*b*x + 6)*b + 5*b)/b","B",0
1530,1,10,0,1.318933," ","integrate(1/(b*x+2),x, algorithm=""maxima"")","\frac{\log\left(b x + 2\right)}{b}"," ",0,"log(b*x + 2)/b","A",0
1531,1,33,0,1.385932," ","integrate(1/(b*x+1)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} + 3 \, b x + 2} b + 3 \, b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 + 3*b*x + 2)*b + 3*b)/b","B",0
1532,1,32,0,1.381945," ","integrate(1/(b*x)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} + 2 \, b x} b + 2 \, b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 + 2*b*x)*b + 2*b)/b","A",0
1533,1,30,0,1.682207," ","integrate(1/(b*x-1)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} + b x - 2} b + b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 + b*x - 2)*b + b)/b","A",0
1534,1,26,0,1.361247," ","integrate(1/(b*x-2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} - 4} b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 - 4)*b)/b","B",0
1535,1,33,0,1.241646," ","integrate(1/(b*x-3)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} - b x - 6} b - b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 - b*x - 6)*b - b)/b","A",0
1536,1,21,0,2.989613," ","integrate(1/(-b*x+3)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\arcsin\left(-\frac{2 \, b^{2} x - b}{5 \, b}\right)}{b}"," ",0,"-arcsin(-1/5*(2*b^2*x - b)/b)/b","A",0
1537,1,9,0,3.032608," ","integrate(1/(-b*x+2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\arcsin\left(\frac{1}{2} \, b x\right)}{b}"," ",0,"arcsin(1/2*b*x)/b","A",0
1538,1,19,0,3.008471," ","integrate(1/(-b*x+1)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\arcsin\left(-\frac{2 \, b^{2} x + b}{3 \, b}\right)}{b}"," ",0,"-arcsin(-1/3*(2*b^2*x + b)/b)/b","A",0
1539,1,18,0,3.139870," ","integrate(1/(-b*x)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\arcsin\left(-\frac{b^{2} x + b}{b}\right)}{b}"," ",0,"-arcsin(-(b^2*x + b)/b)/b","A",0
1540,1,21,0,3.013803," ","integrate(1/(-b*x-1)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\arcsin\left(-\frac{2 \, b^{2} x + 3 \, b}{b}\right)}{b}"," ",0,"-arcsin(-(2*b^2*x + 3*b)/b)/b","A",0
1541,1,16,0,1.354533," ","integrate(1/(-b*x-2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","\sqrt{-\frac{1}{b^{2}}} \log\left(x + \frac{2}{b}\right)"," ",0,"sqrt(-1/b^2)*log(x + 2/b)","A",0
1542,1,21,0,3.012404," ","integrate(1/(-b*x-3)^(1/2)/(b*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{\arcsin\left(-\frac{2 \, b^{2} x + 5 \, b}{b}\right)}{b}"," ",0,"-arcsin(-(2*b^2*x + 5*b)/b)/b","A",0
1543,1,33,0,1.357396," ","integrate(1/(-b*x+2)^(1/2)/(-b*x+3)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} - 5 \, b x + 6} b - 5 \, b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 - 5*b*x + 6)*b - 5*b)/b","B",0
1544,1,11,0,1.422798," ","integrate(1/(-b*x+2),x, algorithm=""maxima"")","-\frac{\log\left(b x - 2\right)}{b}"," ",0,"-log(b*x - 2)/b","A",0
1545,1,33,0,1.327051," ","integrate(1/(-b*x+1)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} - 3 \, b x + 2} b - 3 \, b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 - 3*b*x + 2)*b - 3*b)/b","B",0
1546,1,32,0,1.355969," ","integrate(1/(-b*x)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} - 2 \, b x} b - 2 \, b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 - 2*b*x)*b - 2*b)/b","A",0
1547,1,33,0,1.383290," ","integrate(1/(-b*x-1)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} - b x - 2} b - b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 - b*x - 2)*b - b)/b","A",0
1548,1,26,0,1.274395," ","integrate(1/(-b*x-2)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} - 4} b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 - 4)*b)/b","B",0
1549,1,30,0,1.369305," ","integrate(1/(-b*x-3)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} + b x - 6} b + b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 + b*x - 6)*b + b)/b","A",0
1550,1,26,0,1.377188," ","integrate(1/(b*x-4)^(1/2)/(b*x+4)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} - 16} b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 - 16)*b)/b","B",0
1551,-2,0,0,0.000000," ","integrate(1/((b*c-b)/d+b*x)^(1/2)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(2*c-1>0)', see `assume?` for more details)Is 2*c-1 zero or nonzero?","F(-2)",0
1552,1,41,0,2.868850," ","integrate(1/x^(1/2)/(-3+2*x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \frac{\sqrt{2 \, x - 3}}{\sqrt{x}}}{\sqrt{2} + \frac{\sqrt{2 \, x - 3}}{\sqrt{x}}}\right)"," ",0,"-1/2*sqrt(2)*log(-(sqrt(2) - sqrt(2*x - 3)/sqrt(x))/(sqrt(2) + sqrt(2*x - 3)/sqrt(x)))","B",0
1553,1,28,0,3.040809," ","integrate(1/(-3+2*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{6} \log\left(2 \, \sqrt{6} \sqrt{6 \, x^{2} - 5 \, x - 6} + 12 \, x - 5\right)"," ",0,"1/6*sqrt(6)*log(2*sqrt(6)*sqrt(6*x^2 - 5*x - 6) + 12*x - 5)","A",0
1554,-2,0,0,0.000000," ","integrate(1/((-b*c+b)/d+b*x)^(1/2)/(-d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(2*c-1>0)', see `assume?` for more details)Is 2*c-1 zero or nonzero?","F(-2)",0
1555,1,14,0,2.992800," ","integrate(1/(4-x)^(1/2)/x^(1/2),x, algorithm=""maxima"")","-2 \, \arctan\left(\frac{\sqrt{-x + 4}}{\sqrt{x}}\right)"," ",0,"-2*arctan(sqrt(-x + 4)/sqrt(x))","B",0
1556,1,21,0,3.119449," ","integrate(1/(3-2*x)^(1/2)/x^(1/2),x, algorithm=""maxima"")","-\sqrt{2} \arctan\left(\frac{\sqrt{2} \sqrt{-2 \, x + 3}}{2 \, \sqrt{x}}\right)"," ",0,"-sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-2*x + 3)/sqrt(x))","A",0
1557,1,11,0,2.999936," ","integrate(1/(3-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{10} \, \sqrt{10} \arcsin\left(-\frac{20}{21} \, x + \frac{3}{7}\right)"," ",0,"-1/10*sqrt(10)*arcsin(-20/21*x + 3/7)","A",0
1558,-2,0,0,0.000000," ","integrate(1/(-b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
1559,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/3),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*(d*x + c)^(1/3), x)","F",0
1560,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(1/3), x)","F",0
1561,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/sqrt(b*x + a), x)","F",0
1562,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(3/2), x)","F",0
1563,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(5/2), x)","F",0
1564,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(7/2), x)","F",0
1565,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(1/3), x)","F",0
1566,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(1/3), x)","F",0
1567,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(1/3)), x)","F",0
1568,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(1/3)), x)","F",0
1569,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(1/3)), x)","F",0
1570,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(2/3), x)","F",0
1571,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(2/3), x)","F",0
1572,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(2/3)), x)","F",0
1573,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(2/3)), x)","F",0
1574,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(2/3)), x)","F",0
1575,0,0,0,0.000000," ","integrate((b*x+a)^(2/3)*(d*x+c)^(1/3),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*x + a)^(2/3)*(d*x + c)^(1/3), x)","F",0
1576,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(1/3), x)","F",0
1577,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(4/3),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(4/3), x)","F",0
1578,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(7/3),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{7}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(7/3), x)","F",0
1579,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(10/3),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{10}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(10/3), x)","F",0
1580,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(13/3),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{13}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(13/3), x)","F",0
1581,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(16/3),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{16}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(16/3), x)","F",0
1582,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)*(d*x+c)^(1/3),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)*(d*x + c)^(1/3), x)","F",0
1583,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(d*x+c)^(1/3),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)*(d*x + c)^(1/3), x)","F",0
1584,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(2/3), x)","F",0
1585,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(5/3),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{5}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(5/3), x)","F",0
1586,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(8/3),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{8}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(8/3), x)","F",0
1587,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)/(d*x + c)^(1/3), x)","F",0
1588,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)/(d*x + c)^(1/3), x)","F",0
1589,0,0,0,0.000000," ","integrate(1/(b*x+a)^(2/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(2/3)*(d*x + c)^(1/3)), x)","F",0
1590,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/3)*(d*x + c)^(1/3)), x)","F",0
1591,0,0,0,0.000000," ","integrate(1/(b*x+a)^(8/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{8}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(8/3)*(d*x + c)^(1/3)), x)","F",0
1592,0,0,0,0.000000," ","integrate(1/(b*x+a)^(11/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{11}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(11/3)*(d*x + c)^(1/3)), x)","F",0
1593,0,0,0,0.000000," ","integrate(1/(b*x+a)^(14/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{14}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(14/3)*(d*x + c)^(1/3)), x)","F",0
1594,0,0,0,0.000000," ","integrate((b*x+a)^(8/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{8}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(8/3)/(d*x + c)^(1/3), x)","F",0
1595,0,0,0,0.000000," ","integrate((b*x+a)^(5/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/3)/(d*x + c)^(1/3), x)","F",0
1596,0,0,0,0.000000," ","integrate((b*x+a)^(2/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{2}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(2/3)/(d*x + c)^(1/3), x)","F",0
1597,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/3)*(d*x + c)^(1/3)), x)","F",0
1598,0,0,0,0.000000," ","integrate(1/(b*x+a)^(4/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(4/3)*(d*x + c)^(1/3)), x)","F",0
1599,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/3)*(d*x + c)^(1/3)), x)","F",0
1600,0,0,0,0.000000," ","integrate(1/(b*x+a)^(10/3)/(d*x+c)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{10}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(10/3)*(d*x + c)^(1/3)), x)","F",0
1601,0,0,0,0.000000," ","integrate((b*x+a)^(5/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/3)/(d*x + c)^(2/3), x)","F",0
1602,0,0,0,0.000000," ","integrate((b*x+a)^(2/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{2}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(2/3)/(d*x + c)^(2/3), x)","F",0
1603,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/3)*(d*x + c)^(2/3)), x)","F",0
1604,0,0,0,0.000000," ","integrate(1/(b*x+a)^(4/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(4/3)*(d*x + c)^(2/3)), x)","F",0
1605,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/3)*(d*x + c)^(2/3)), x)","F",0
1606,0,0,0,0.000000," ","integrate(1/(b*x+a)^(10/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{10}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(10/3)*(d*x + c)^(2/3)), x)","F",0
1607,0,0,0,0.000000," ","integrate(1/(b*x+a)^(13/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{13}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(13/3)*(d*x + c)^(2/3)), x)","F",0
1608,0,0,0,0.000000," ","integrate((b*x+a)^(7/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/3)/(d*x + c)^(2/3), x)","F",0
1609,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)/(d*x + c)^(2/3), x)","F",0
1610,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)/(d*x + c)^(2/3), x)","F",0
1611,0,0,0,0.000000," ","integrate(1/(b*x+a)^(2/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(2/3)*(d*x + c)^(2/3)), x)","F",0
1612,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/3)*(d*x + c)^(2/3)), x)","F",0
1613,0,0,0,0.000000," ","integrate(1/(b*x+a)^(8/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{8}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(8/3)*(d*x + c)^(2/3)), x)","F",0
1614,0,0,0,0.000000," ","integrate(1/(b*x+a)^(11/3)/(d*x+c)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{11}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(11/3)*(d*x + c)^(2/3)), x)","F",0
1615,0,0,0,0.000000," ","integrate((b*x+a)^(7/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/3)/(d*x + c)^(4/3), x)","F",0
1616,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)/(d*x + c)^(4/3), x)","F",0
1617,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)/(d*x + c)^(4/3), x)","F",0
1618,0,0,0,0.000000," ","integrate(1/(b*x+a)^(2/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(2/3)*(d*x + c)^(4/3)), x)","F",0
1619,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/3)*(d*x + c)^(4/3)), x)","F",0
1620,0,0,0,0.000000," ","integrate(1/(b*x+a)^(8/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{8}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(8/3)*(d*x + c)^(4/3)), x)","F",0
1621,0,0,0,0.000000," ","integrate(1/(b*x+a)^(11/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{11}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(11/3)*(d*x + c)^(4/3)), x)","F",0
1622,0,0,0,0.000000," ","integrate((b*x+a)^(8/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{8}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(8/3)/(d*x + c)^(4/3), x)","F",0
1623,0,0,0,0.000000," ","integrate((b*x+a)^(5/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/3)/(d*x + c)^(4/3), x)","F",0
1624,0,0,0,0.000000," ","integrate((b*x+a)^(2/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{2}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(2/3)/(d*x + c)^(4/3), x)","F",0
1625,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/3)*(d*x + c)^(4/3)), x)","F",0
1626,0,0,0,0.000000," ","integrate(1/(b*x+a)^(4/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(4/3)*(d*x + c)^(4/3)), x)","F",0
1627,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/3)/(d*x+c)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/3)*(d*x + c)^(4/3)), x)","F",0
1628,0,0,0,0.000000," ","integrate((-1+x)^(1/3)/(1+x)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(x - 1\right)}^{\frac{1}{3}}}{{\left(x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x - 1)^(1/3)/(x + 1)^(1/3), x)","F",0
1629,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/4),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*(d*x + c)^(1/4), x)","F",0
1630,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/4),x, algorithm=""maxima"")","\int \sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(1/4), x)","F",0
1631,0,0,0,0.000000," ","integrate((d*x+c)^(1/4)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{4}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(1/4)/sqrt(b*x + a), x)","F",0
1632,0,0,0,0.000000," ","integrate((d*x+c)^(1/4)/(b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{4}}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/4)/(b*x + a)^(3/2), x)","F",0
1633,0,0,0,0.000000," ","integrate((d*x+c)^(1/4)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{4}}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/4)/(b*x + a)^(5/2), x)","F",0
1634,0,0,0,0.000000," ","integrate((d*x+c)^(1/4)/(b*x+a)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{4}}}{{\left(b x + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/4)/(b*x + a)^(7/2), x)","F",0
1635,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(3/4),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{3}{4}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*(d*x + c)^(3/4), x)","F",0
1636,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(3/4),x, algorithm=""maxima"")","\int \sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(3/4), x)","F",0
1637,0,0,0,0.000000," ","integrate((d*x+c)^(3/4)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{3}{4}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(3/4)/sqrt(b*x + a), x)","F",0
1638,0,0,0,0.000000," ","integrate((d*x+c)^(3/4)/(b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{3}{4}}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(3/4)/(b*x + a)^(3/2), x)","F",0
1639,0,0,0,0.000000," ","integrate((d*x+c)^(3/4)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{3}{4}}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(3/4)/(b*x + a)^(5/2), x)","F",0
1640,0,0,0,0.000000," ","integrate((d*x+c)^(3/4)/(b*x+a)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{3}{4}}}{{\left(b x + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(3/4)/(b*x + a)^(7/2), x)","F",0
1641,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/4),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*(d*x + c)^(5/4), x)","F",0
1642,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(5/4), x)","F",0
1643,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/sqrt(b*x + a), x)","F",0
1644,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(3/2), x)","F",0
1645,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(5/2), x)","F",0
1646,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(7/2), x)","F",0
1647,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(9/2), x)","F",0
1648,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{2}}}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)/(d*x + c)^(1/4), x)","F",0
1649,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(1/4), x)","F",0
1650,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/4),x, algorithm=""maxima"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(1/4), x)","F",0
1651,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(1/4)), x)","F",0
1652,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(1/4)), x)","F",0
1653,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(1/4)), x)","F",0
1654,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(3/4),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(3/4), x)","F",0
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1656,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(3/4)), x)","F",0
1657,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(3/4)), x)","F",0
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1672,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(9/4),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{2}}}{{\left(d x + c\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)/(d*x + c)^(9/4), x)","F",0
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1674,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(9/4),x, algorithm=""maxima"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(9/4), x)","F",0
1675,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(9/4),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(9/4)), x)","F",0
1676,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(9/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(9/4)), x)","F",0
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1681,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(9/4),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(9/4), x)","F",0
1682,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(13/4),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{13}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(13/4), x)","F",0
1683,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(17/4),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{17}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(17/4), x)","F",0
1684,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(21/4),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{21}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(21/4), x)","F",0
1685,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(25/4),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{25}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(25/4), x)","F",0
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1689,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(7/4),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(7/4), x)","F",0
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1691,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(15/4),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{15}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(15/4), x)","F",0
1692,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(19/4),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{19}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(19/4), x)","F",0
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1717,0,0,0,0.000000," ","integrate((b*x+a)^(5/4)/(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{4}}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/4)/(d*x + c)^(5/4), x)","F",0
1718,0,0,0,0.000000," ","integrate((b*x+a)^(1/4)/(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{4}}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)/(d*x + c)^(5/4), x)","F",0
1719,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/4)/(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/4)*(d*x + c)^(5/4)), x)","F",0
1720,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/4)/(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/4)*(d*x + c)^(5/4)), x)","F",0
1721,0,0,0,0.000000," ","integrate(1/(b*x+a)^(11/4)/(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{11}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(11/4)*(d*x + c)^(5/4)), x)","F",0
1722,0,0,0,0.000000," ","integrate(1/(b*x+a)^(15/4)/(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{15}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(15/4)*(d*x + c)^(5/4)), x)","F",0
1723,0,0,0,0.000000," ","integrate((b*x+a)^(11/4)/(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{11}{4}}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(11/4)/(d*x + c)^(5/4), x)","F",0
1724,0,0,0,0.000000," ","integrate((b*x+a)^(7/4)/(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{4}}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/4)/(d*x + c)^(5/4), x)","F",0
1725,0,0,0,0.000000," ","integrate((b*x+a)^(3/4)/(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{4}}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/4)/(d*x + c)^(5/4), x)","F",0
1726,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/4)/(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/4)*(d*x + c)^(5/4)), x)","F",0
1727,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/4)/(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/4)*(d*x + c)^(5/4)), x)","F",0
1728,0,0,0,0.000000," ","integrate(1/(b*x+a)^(9/4)/(d*x+c)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{9}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(9/4)*(d*x + c)^(5/4)), x)","F",0
1729,0,0,0,0.000000," ","integrate(1/(-a*x+1)^(1/4)/(b*x+1)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-a x + 1\right)}^{\frac{1}{4}} {\left(b x + 1\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((-a*x + 1)^(1/4)*(b*x + 1)^(3/4)), x)","F",0
1730,0,0,0,0.000000," ","integrate(1/(-a*x+1)^(1/4)/(a*x+1)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x + 1\right)}^{\frac{3}{4}} {\left(-a x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x + 1)^(3/4)*(-a*x + 1)^(1/4)), x)","F",0
1731,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/5),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{1}{5}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(1/5), x)","F",0
1732,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/5),x, algorithm=""maxima"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{5}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(1/5), x)","F",0
1733,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/5),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{5}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(1/5)), x)","F",0
1734,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/5),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{5}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(1/5)), x)","F",0
1735,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/5),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{1}{5}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(1/5)), x)","F",0
1736,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(d*x+c)^(1/6),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{1}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)*(d*x + c)^(1/6), x)","F",0
1737,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/6),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*(d*x + c)^(1/6), x)","F",0
1738,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/6),x, algorithm=""maxima"")","\int \sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{6}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(1/6), x)","F",0
1739,0,0,0,0.000000," ","integrate((d*x+c)^(1/6)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{6}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(1/6)/sqrt(b*x + a), x)","F",0
1740,0,0,0,0.000000," ","integrate((d*x+c)^(1/6)/(b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{6}}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/6)/(b*x + a)^(3/2), x)","F",0
1741,0,0,0,0.000000," ","integrate((d*x+c)^(1/6)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{6}}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/6)/(b*x + a)^(5/2), x)","F",0
1742,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/6),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{5}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*(d*x + c)^(5/6), x)","F",0
1743,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(5/6),x, algorithm=""maxima"")","\int \sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(5/6), x)","F",0
1744,0,0,0,0.000000," ","integrate((d*x+c)^(5/6)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{6}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(5/6)/sqrt(b*x + a), x)","F",0
1745,0,0,0,0.000000," ","integrate((d*x+c)^(5/6)/(b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{6}}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/6)/(b*x + a)^(3/2), x)","F",0
1746,0,0,0,0.000000," ","integrate((d*x+c)^(5/6)/(b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{6}}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/6)/(b*x + a)^(5/2), x)","F",0
1747,0,0,0,0.000000," ","integrate((d*x+c)^(5/6)/(b*x+a)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{6}}}{{\left(b x + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/6)/(b*x + a)^(7/2), x)","F",0
1748,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(1/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{2}}}{{\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)/(d*x + c)^(1/6), x)","F",0
1749,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(1/6), x)","F",0
1750,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/6),x, algorithm=""maxima"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(1/6), x)","F",0
1751,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/6),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(1/6)), x)","F",0
1752,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(1/6)), x)","F",0
1753,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(1/6)), x)","F",0
1754,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(5/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{2}}}{{\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)/(d*x + c)^(5/6), x)","F",0
1755,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(5/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(5/6), x)","F",0
1756,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(5/6),x, algorithm=""maxima"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(5/6), x)","F",0
1757,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(5/6),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(5/6)), x)","F",0
1758,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(5/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(5/6)), x)","F",0
1759,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(5/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(5/6)), x)","F",0
1760,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(7/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{2}}}{{\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)/(d*x + c)^(7/6), x)","F",0
1761,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(7/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(7/6), x)","F",0
1762,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(7/6),x, algorithm=""maxima"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(7/6), x)","F",0
1763,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(7/6),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(7/6)), x)","F",0
1764,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(7/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(7/6)), x)","F",0
1765,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(7/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(7/6)), x)","F",0
1766,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)*(d*x+c)^(13/6),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{13}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)*(d*x + c)^(13/6), x)","F",0
1767,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)*(d*x+c)^(7/6),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{7}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)*(d*x + c)^(7/6), x)","F",0
1768,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)*(d*x+c)^(1/6),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{1}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)*(d*x + c)^(1/6), x)","F",0
1769,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(5/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(5/6), x)","F",0
1770,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(11/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{11}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(11/6), x)","F",0
1771,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(17/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{17}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(17/6), x)","F",0
1772,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)*(d*x+c)^(5/6),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)*(d*x + c)^(5/6), x)","F",0
1773,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(1/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(1/6), x)","F",0
1774,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(7/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(7/6), x)","F",0
1775,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(13/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{13}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(13/6), x)","F",0
1776,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(19/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{19}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(19/6), x)","F",0
1777,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(25/6),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{25}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(25/6), x)","F",0
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1838,0,0,0,0.000000," ","integrate((d*x+c)^(11/6)/(b*x+a)^(7/6),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{11}{6}}}{{\left(b x + a\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((d*x + c)^(11/6)/(b*x + a)^(7/6), x)","F",0
1839,0,0,0,0.000000," ","integrate((d*x+c)^(5/6)/(b*x+a)^(7/6),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{6}}}{{\left(b x + a\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/6)/(b*x + a)^(7/6), x)","F",0
1840,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(1/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/6)*(d*x + c)^(1/6)), x)","F",0
1841,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(7/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/6)*(d*x + c)^(7/6)), x)","F",0
1842,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(13/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{13}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/6)*(d*x + c)^(13/6)), x)","F",0
1843,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(19/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{19}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/6)*(d*x + c)^(19/6)), x)","F",0
1844,1,106,0,1.123250," ","integrate((b*x+a)^m*(a+b*(2+m)*x),x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(m + 1\right)} x^{2} + a b m x - a^{2}\right)} {\left(b x + a\right)}^{m} m}{{\left(m^{2} + 3 \, m + 2\right)} b} + \frac{2 \, {\left(b^{2} {\left(m + 1\right)} x^{2} + a b m x - a^{2}\right)} {\left(b x + a\right)}^{m}}{{\left(m^{2} + 3 \, m + 2\right)} b} + \frac{{\left(b x + a\right)}^{m + 1} a}{b {\left(m + 1\right)}}"," ",0,"(b^2*(m + 1)*x^2 + a*b*m*x - a^2)*(b*x + a)^m*m/((m^2 + 3*m + 2)*b) + 2*(b^2*(m + 1)*x^2 + a*b*m*x - a^2)*(b*x + a)^m/((m^2 + 3*m + 2)*b) + (b*x + a)^(m + 1)*a/(b*(m + 1))","B",0
1845,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n, x)","F",0
1846,1,246,0,1.165565," ","integrate((b*x+a)^m*(d*x+c)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(b^{2} {\left(m + 1\right)} x^{2} + a b m x - a^{2}\right)} {\left(b x + a\right)}^{m} c^{2} d}{{\left(m^{2} + 3 \, m + 2\right)} b^{2}} + \frac{{\left(b x + a\right)}^{m + 1} c^{3}}{b {\left(m + 1\right)}} + \frac{3 \, {\left({\left(m^{2} + 3 \, m + 2\right)} b^{3} x^{3} + {\left(m^{2} + m\right)} a b^{2} x^{2} - 2 \, a^{2} b m x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{m} c d^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b^{3}} + \frac{{\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a b^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b m x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{m} d^{3}}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} b^{4}}"," ",0,"3*(b^2*(m + 1)*x^2 + a*b*m*x - a^2)*(b*x + a)^m*c^2*d/((m^2 + 3*m + 2)*b^2) + (b*x + a)^(m + 1)*c^3/(b*(m + 1)) + 3*((m^2 + 3*m + 2)*b^3*x^3 + (m^2 + m)*a*b^2*x^2 - 2*a^2*b*m*x + 2*a^3)*(b*x + a)^m*c*d^2/((m^3 + 6*m^2 + 11*m + 6)*b^3) + ((m^3 + 6*m^2 + 11*m + 6)*b^4*x^4 + (m^3 + 3*m^2 + 2*m)*a*b^3*x^3 - 3*(m^2 + m)*a^2*b^2*x^2 + 6*a^3*b*m*x - 6*a^4)*(b*x + a)^m*d^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*b^4)","B",0
1847,1,138,0,1.147116," ","integrate((b*x+a)^m*(d*x+c)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(b^{2} {\left(m + 1\right)} x^{2} + a b m x - a^{2}\right)} {\left(b x + a\right)}^{m} c d}{{\left(m^{2} + 3 \, m + 2\right)} b^{2}} + \frac{{\left(b x + a\right)}^{m + 1} c^{2}}{b {\left(m + 1\right)}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} b^{3} x^{3} + {\left(m^{2} + m\right)} a b^{2} x^{2} - 2 \, a^{2} b m x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{m} d^{2}}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b^{3}}"," ",0,"2*(b^2*(m + 1)*x^2 + a*b*m*x - a^2)*(b*x + a)^m*c*d/((m^2 + 3*m + 2)*b^2) + (b*x + a)^(m + 1)*c^2/(b*(m + 1)) + ((m^2 + 3*m + 2)*b^3*x^3 + (m^2 + m)*a*b^2*x^2 - 2*a^2*b*m*x + 2*a^3)*(b*x + a)^m*d^2/((m^3 + 6*m^2 + 11*m + 6)*b^3)","A",0
1848,1,63,0,1.063155," ","integrate((b*x+a)^m*(d*x+c),x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(m + 1\right)} x^{2} + a b m x - a^{2}\right)} {\left(b x + a\right)}^{m} d}{{\left(m^{2} + 3 \, m + 2\right)} b^{2}} + \frac{{\left(b x + a\right)}^{m + 1} c}{b {\left(m + 1\right)}}"," ",0,"(b^2*(m + 1)*x^2 + a*b*m*x - a^2)*(b*x + a)^m*d/((m^2 + 3*m + 2)*b^2) + (b*x + a)^(m + 1)*c/(b*(m + 1))","A",0
1849,0,0,0,0.000000," ","integrate((b*x+a)^m/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{m}}{d x + c}\,{d x}"," ",0,"integrate((b*x + a)^m/(d*x + c), x)","F",0
1850,0,0,0,0.000000," ","integrate((b*x+a)^m/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m/(d*x + c)^2, x)","F",0
1851,0,0,0,0.000000," ","integrate((b*x+a)^m/(d*x+c)^3,x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^m/(d*x + c)^3, x)","F",0
1852,1,246,0,1.295274," ","integrate((b*x+a)^3*(d*x+c)^n,x, algorithm=""maxima"")","\frac{3 \, {\left(d^{2} {\left(n + 1\right)} x^{2} + c d n x - c^{2}\right)} {\left(d x + c\right)}^{n} a^{2} b}{{\left(n^{2} + 3 \, n + 2\right)} d^{2}} + \frac{{\left(d x + c\right)}^{n + 1} a^{3}}{d {\left(n + 1\right)}} + \frac{3 \, {\left({\left(n^{2} + 3 \, n + 2\right)} d^{3} x^{3} + {\left(n^{2} + n\right)} c d^{2} x^{2} - 2 \, c^{2} d n x + 2 \, c^{3}\right)} {\left(d x + c\right)}^{n} a b^{2}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{3}} + \frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} c d^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} c^{2} d^{2} x^{2} + 6 \, c^{3} d n x - 6 \, c^{4}\right)} {\left(d x + c\right)}^{n} b^{3}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} d^{4}}"," ",0,"3*(d^2*(n + 1)*x^2 + c*d*n*x - c^2)*(d*x + c)^n*a^2*b/((n^2 + 3*n + 2)*d^2) + (d*x + c)^(n + 1)*a^3/(d*(n + 1)) + 3*((n^2 + 3*n + 2)*d^3*x^3 + (n^2 + n)*c*d^2*x^2 - 2*c^2*d*n*x + 2*c^3)*(d*x + c)^n*a*b^2/((n^3 + 6*n^2 + 11*n + 6)*d^3) + ((n^3 + 6*n^2 + 11*n + 6)*d^4*x^4 + (n^3 + 3*n^2 + 2*n)*c*d^3*x^3 - 3*(n^2 + n)*c^2*d^2*x^2 + 6*c^3*d*n*x - 6*c^4)*(d*x + c)^n*b^3/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*d^4)","B",0
1853,1,138,0,1.168407," ","integrate((b*x+a)^2*(d*x+c)^n,x, algorithm=""maxima"")","\frac{2 \, {\left(d^{2} {\left(n + 1\right)} x^{2} + c d n x - c^{2}\right)} {\left(d x + c\right)}^{n} a b}{{\left(n^{2} + 3 \, n + 2\right)} d^{2}} + \frac{{\left(d x + c\right)}^{n + 1} a^{2}}{d {\left(n + 1\right)}} + \frac{{\left({\left(n^{2} + 3 \, n + 2\right)} d^{3} x^{3} + {\left(n^{2} + n\right)} c d^{2} x^{2} - 2 \, c^{2} d n x + 2 \, c^{3}\right)} {\left(d x + c\right)}^{n} b^{2}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} d^{3}}"," ",0,"2*(d^2*(n + 1)*x^2 + c*d*n*x - c^2)*(d*x + c)^n*a*b/((n^2 + 3*n + 2)*d^2) + (d*x + c)^(n + 1)*a^2/(d*(n + 1)) + ((n^2 + 3*n + 2)*d^3*x^3 + (n^2 + n)*c*d^2*x^2 - 2*c^2*d*n*x + 2*c^3)*(d*x + c)^n*b^2/((n^3 + 6*n^2 + 11*n + 6)*d^3)","A",0
1854,1,63,0,1.169013," ","integrate((b*x+a)*(d*x+c)^n,x, algorithm=""maxima"")","\frac{{\left(d^{2} {\left(n + 1\right)} x^{2} + c d n x - c^{2}\right)} {\left(d x + c\right)}^{n} b}{{\left(n^{2} + 3 \, n + 2\right)} d^{2}} + \frac{{\left(d x + c\right)}^{n + 1} a}{d {\left(n + 1\right)}}"," ",0,"(d^2*(n + 1)*x^2 + c*d*n*x - c^2)*(d*x + c)^n*b/((n^2 + 3*n + 2)*d^2) + (d*x + c)^(n + 1)*a/(d*(n + 1))","A",0
1855,1,18,0,1.115645," ","integrate((d*x+c)^n,x, algorithm=""maxima"")","\frac{{\left(d x + c\right)}^{n + 1}}{d {\left(n + 1\right)}}"," ",0,"(d*x + c)^(n + 1)/(d*(n + 1))","A",0
1856,0,0,0,0.000000," ","integrate((d*x+c)^n/(b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{n}}{b x + a}\,{d x}"," ",0,"integrate((d*x + c)^n/(b*x + a), x)","F",0
1857,0,0,0,0.000000," ","integrate((d*x+c)^n/(b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{n}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^n/(b*x + a)^2, x)","F",0
1858,0,0,0,0.000000," ","integrate((d*x+c)^n/(b*x+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{n}}{{\left(b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((d*x + c)^n/(b*x + a)^3, x)","F",0
1859,0,0,0,0.000000," ","integrate((b*x+a)^(-4+n)/((d*x+c)^n),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n - 4}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^(n - 4)/(d*x + c)^n, x)","F",0
1860,0,0,0,0.000000," ","integrate((b*x+a)^(-3+n)/((d*x+c)^n),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n - 3}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^(n - 3)/(d*x + c)^n, x)","F",0
1861,0,0,0,0.000000," ","integrate((b*x+a)^(-2+n)/((d*x+c)^n),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n - 2}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^(n - 2)/(d*x + c)^n, x)","F",0
1862,0,0,0,0.000000," ","integrate((b*x+a)^(-1+n)/((d*x+c)^n),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n - 1}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^(n - 1)/(d*x + c)^n, x)","F",0
1863,0,0,0,0.000000," ","integrate((b*x+a)^n/((d*x+c)^n),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^n/(d*x + c)^n, x)","F",0
1864,0,0,0,0.000000," ","integrate((b*x+a)^(1+n)/((d*x+c)^n),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n + 1}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^(n + 1)/(d*x + c)^n, x)","F",0
1865,0,0,0,0.000000," ","integrate((b*x+a)^(2+n)/((d*x+c)^n),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n + 2}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^(n + 2)/(d*x + c)^n, x)","F",0
1866,0,0,0,0.000000," ","integrate((d*x+c)^n/((b*x+a)^n),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{n}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate((d*x + c)^n/(b*x + a)^n, x)","F",0
1867,0,0,0,0.000000," ","integrate((b*x+a)^(-1-n)*(d*x+c)^n,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{-n - 1} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^(-n - 1)*(d*x + c)^n, x)","F",0
1868,0,0,0,0.000000," ","integrate((b*x+a)^(-2-n)*(d*x+c)^n,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{-n - 2} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^(-n - 2)*(d*x + c)^n, x)","F",0
1869,0,0,0,0.000000," ","integrate((b*x+a)^(-3-n)*(d*x+c)^n,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{-n - 3} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^(-n - 3)*(d*x + c)^n, x)","F",0
1870,0,0,0,0.000000," ","integrate((b*x+a)^(-4-n)*(d*x+c)^n,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{-n - 4} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^(-n - 4)*(d*x + c)^n, x)","F",0
1871,0,0,0,0.000000," ","integrate((b*x+a)^(-5-n)*(d*x+c)^n,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{-n - 5} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^(-n - 5)*(d*x + c)^n, x)","F",0
1872,0,0,0,0.000000," ","integrate((b*x+a)^n/((d*x+c)^n),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^n/(d*x + c)^n, x)","F",0
1873,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^(-1-n),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 1}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^(-n - 1), x)","F",0
1874,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^(-2-n),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 2}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^(-n - 2), x)","F",0
1875,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^(-3-n),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 3}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^(-n - 3), x)","F",0
1876,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^(-4-n),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 4}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^(-n - 4), x)","F",0
1877,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^(-5-n),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 5}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^(-n - 5), x)","F",0
1878,0,0,0,0.000000," ","integrate((b*x+a)^(-2+n)*(d*x+c)^(1-n),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n - 2} {\left(d x + c\right)}^{-n + 1}\,{d x}"," ",0,"integrate((b*x + a)^(n - 2)*(d*x + c)^(-n + 1), x)","F",0
1879,0,0,0,0.000000," ","integrate((b*x+a)^(1+n)*(d*x+c)^(-1-n),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{n + 1} {\left(d x + c\right)}^{-n - 1}\,{d x}"," ",0,"integrate((b*x + a)^(n + 1)*(d*x + c)^(-n - 1), x)","F",0
1880,0,0,0,0.000000," ","integrate((b*x+a)^m/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{m}}{d x + c}\,{d x}"," ",0,"integrate((b*x + a)^m/(d*x + c), x)","F",0
1881,1,92,0,1.162176," ","integrate(1/(b*x+a)^2/(d*x+c),x, algorithm=""maxima"")","-\frac{d \log\left(b x + a\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} + \frac{d \log\left(d x + c\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} - \frac{1}{a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x}"," ",0,"-d*log(b*x + a)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) + d*log(d*x + c)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) - 1/(a*b*c - a^2*d + (b^2*c - a*b*d)*x)","A",0
1882,0,0,0,0.000000," ","integrate((b*x+a)^m*(a*c*(1+m)+b*c*(2+m)*x)^(-3-m),x, algorithm=""maxima"")","\int {\left(b c {\left(m + 2\right)} x + a c {\left(m + 1\right)}\right)}^{-m - 3} {\left(b x + a\right)}^{m}\,{d x}"," ",0,"integrate((b*c*(m + 2)*x + a*c*(m + 1))^(-m - 3)*(b*x + a)^m, x)","F",0
1883,0,0,0,0.000000," ","integrate((b*x+a)^(-1-b*c/(-a*d+b*c))*(d*x+c)^(-1+a*d/(-a*d+b*c)),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{-\frac{b c}{b c - a d} - 1} {\left(d x + c\right)}^{\frac{a d}{b c - a d} - 1}\,{d x}"," ",0,"integrate((b*x + a)^(-b*c/(b*c - a*d) - 1)*(d*x + c)^(a*d/(b*c - a*d) - 1), x)","F",0
1884,0,0,0,0.000000," ","integrate((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, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{2 \, b c - a d}{b c - a d}} {\left(d x + c\right)}^{\frac{b c - 2 \, a d}{b c - a d}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^((2*b*c - a*d)/(b*c - a*d))*(d*x + c)^((b*c - 2*a*d)/(b*c - a*d))), x)","F",0
1885,0,0,0,0.000000," ","integrate((1-x)^n/(1+x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(-x + 1\right)}^{n}}{\sqrt{x + 1}}\,{d x}"," ",0,"integrate((-x + 1)^n/sqrt(x + 1), x)","F",0
1886,0,0,0,0.000000," ","integrate((1+x)^n/(1-x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x + 1\right)}^{n}}{\sqrt{-x + 1}}\,{d x}"," ",0,"integrate((x + 1)^n/sqrt(-x + 1), x)","F",0
1887,0,0,0,0.000000," ","integrate((1-x)^n*(1+x)^(7/3),x, algorithm=""maxima"")","\int {\left(x + 1\right)}^{\frac{7}{3}} {\left(-x + 1\right)}^{n}\,{d x}"," ",0,"integrate((x + 1)^(7/3)*(-x + 1)^n, x)","F",0
1888,0,0,0,0.000000," ","integrate((1-x)^(7/3)*(1+x)^n,x, algorithm=""maxima"")","\int {\left(x + 1\right)}^{n} {\left(-x + 1\right)}^{\frac{7}{3}}\,{d x}"," ",0,"integrate((x + 1)^n*(-x + 1)^(7/3), x)","F",0
1889,0,0,0,0.000000," ","integrate((2+3*x)^m/((1+2*x)^m),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x + 2\right)}^{m}}{{\left(2 \, x + 1\right)}^{m}}\,{d x}"," ",0,"integrate((3*x + 2)^m/(2*x + 1)^m, x)","F",0
1890,0,0,0,0.000000," ","integrate((d*(b*x+a)/(a*d-b*c))^m*(d*x+c)^n,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{n} \left(-\frac{{\left(b x + a\right)} d}{b c - a d}\right)^{m}\,{d x}"," ",0,"integrate((d*x + c)^n*(-(b*x + a)*d/(b*c - a*d))^m, x)","F",0
1891,1,22,0,1.072573," ","integrate(d*x^3+c*x^2+b*x+a,x, algorithm=""maxima"")","\frac{1}{4} \, d x^{4} + \frac{1}{3} \, c x^{3} + \frac{1}{2} \, b x^{2} + a x"," ",0,"1/4*d*x^4 + 1/3*c*x^3 + 1/2*b*x^2 + a*x","A",0
1892,1,11,0,1.081757," ","integrate(x^4-x^3,x, algorithm=""maxima"")","\frac{1}{5} \, x^{5} - \frac{1}{4} \, x^{4}"," ",0,"1/5*x^5 - 1/4*x^4","A",0
1893,1,9,0,0.962179," ","integrate(x^5-1,x, algorithm=""maxima"")","\frac{1}{6} \, x^{6} - x"," ",0,"1/6*x^6 - x","A",0
1894,1,9,0,1.014601," ","integrate(7+4*x,x, algorithm=""maxima"")","2 \, x^{2} + 7 \, x"," ",0,"2*x^2 + 7*x","A",0
1895,1,12,0,0.999718," ","integrate(pi*x^3+4*x,x, algorithm=""maxima"")","\frac{1}{4} \, \pi x^{4} + 2 \, x^{2}"," ",0,"1/4*pi*x^4 + 2*x^2","A",0
1896,1,9,0,1.097268," ","integrate(5*x^2+2*x,x, algorithm=""maxima"")","\frac{5}{3} \, x^{3} + x^{2}"," ",0,"5/3*x^3 + x^2","A",0
1897,1,11,0,1.053739," ","integrate(1/2*x^2+1/3*x^3,x, algorithm=""maxima"")","\frac{1}{12} \, x^{4} + \frac{1}{6} \, x^{3}"," ",0,"1/12*x^4 + 1/6*x^3","A",0
1898,1,14,0,0.970615," ","integrate(2*x^2-5*x+3,x, algorithm=""maxima"")","\frac{2}{3} \, x^{3} - \frac{5}{2} \, x^{2} + 3 \, x"," ",0,"2/3*x^3 - 5/2*x^2 + 3*x","A",0
1899,1,16,0,0.972692," ","integrate(x^3+x^2-2*x,x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} + \frac{1}{3} \, x^{3} - x^{2}"," ",0,"1/4*x^4 + 1/3*x^3 - x^2","A",0
1900,1,12,0,0.984431," ","integrate(-3*x^5-x^2+1,x, algorithm=""maxima"")","-\frac{1}{2} \, x^{6} - \frac{1}{3} \, x^{3} + x"," ",0,"-1/2*x^6 - 1/3*x^3 + x","A",0
1901,1,13,0,1.144805," ","integrate(4*x^3+3*x^2+2*x+5,x, algorithm=""maxima"")","x^{4} + x^{3} + x^{2} + 5 \, x"," ",0,"x^4 + x^3 + x^2 + 5*x","A",0
1902,1,20,0,1.033563," ","integrate(a+d/x^3+c/x^2+b/x,x, algorithm=""maxima"")","a x + b \log\left(x\right) - \frac{c}{x} - \frac{d}{2 \, x^{2}}"," ",0,"a*x + b*log(x) - c/x - 1/2*d/x^2","A",0
1903,1,16,0,1.083824," ","integrate(1/x^5+x+x^5,x, algorithm=""maxima"")","\frac{1}{6} \, x^{6} + \frac{1}{2} \, x^{2} - \frac{1}{4 \, x^{4}}"," ",0,"1/6*x^6 + 1/2*x^2 - 1/4/x^4","A",0
1904,1,13,0,1.040889," ","integrate(1/x^3+1/x^2+1/x,x, algorithm=""maxima"")","-\frac{1}{x} - \frac{1}{2 \, x^{2}} + \log\left(x\right)"," ",0,"-1/x - 1/2/x^2 + log(x)","A",0
1905,1,10,0,1.025974," ","integrate(-2/x^2+3/x,x, algorithm=""maxima"")","\frac{2}{x} + 3 \, \log\left(x\right)"," ",0,"2/x + 3*log(x)","A",0
1906,1,11,0,0.965013," ","integrate(-1/7/x^6+x^6,x, algorithm=""maxima"")","\frac{1}{7} \, x^{7} + \frac{1}{35 \, x^{5}}"," ",0,"1/7*x^7 + 1/35/x^5","A",0
1907,1,9,0,0.919411," ","integrate(1+1/x+x,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + x + \log\left(x\right)"," ",0,"1/2*x^2 + x + log(x)","A",0
1908,1,11,0,0.966320," ","integrate(-3/x^3+4/x^2,x, algorithm=""maxima"")","-\frac{4}{x} + \frac{3}{2 \, x^{2}}"," ",0,"-4/x + 3/2/x^2","A",0
1909,1,11,0,1.076586," ","integrate(1/x+2*x+x^2,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + x^{2} + \log\left(x\right)"," ",0,"1/3*x^3 + x^2 + log(x)","A",0
1910,1,11,0,1.065843," ","integrate(x^(5/6)-x^3,x, algorithm=""maxima"")","-\frac{1}{4} \, x^{4} + \frac{6}{11} \, x^{\frac{11}{6}}"," ",0,"-1/4*x^4 + 6/11*x^(11/6)","A",0
1911,1,9,0,1.001034," ","integrate(33+x^(1/33),x, algorithm=""maxima"")","\frac{33}{34} \, x^{\frac{34}{33}} + 33 \, x"," ",0,"33/34*x^(34/33) + 33*x","A",0
1912,1,9,0,1.113282," ","integrate(1/2/x^(1/2)+2*x^(1/2),x, algorithm=""maxima"")","\frac{4}{3} \, x^{\frac{3}{2}} + \sqrt{x}"," ",0,"4/3*x^(3/2) + sqrt(x)","A",0
1913,1,13,0,1.015211," ","integrate(-1/x^2+10/x+6*x^(1/2),x, algorithm=""maxima"")","4 \, x^{\frac{3}{2}} + \frac{1}{x} + 10 \, \log\left(x\right)"," ",0,"4*x^(3/2) + 1/x + 10*log(x)","A",0
1914,1,11,0,1.003390," ","integrate(1/x^(3/2)+x^(3/2),x, algorithm=""maxima"")","\frac{2}{5} \, x^{\frac{5}{2}} - \frac{2}{\sqrt{x}}"," ",0,"2/5*x^(5/2) - 2/sqrt(x)","A",0
1915,1,11,0,1.006800," ","integrate(-5*x^(3/2)+7*x^(5/2),x, algorithm=""maxima"")","2 \, x^{\frac{7}{2}} - 2 \, x^{\frac{5}{2}}"," ",0,"2*x^(7/2) - 2*x^(5/2)","A",0
1916,1,16,0,1.045543," ","integrate(-1/2*x+2/x^(1/2)+x^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, x^{2} + \frac{2}{3} \, x^{\frac{3}{2}} + 4 \, \sqrt{x}"," ",0,"-1/4*x^2 + 2/3*x^(3/2) + 4*sqrt(x)","A",0
1917,1,15,0,1.034423," ","integrate(-2/x+x^(3/2)+1/5*x^(1/2),x, algorithm=""maxima"")","\frac{2}{5} \, x^{\frac{5}{2}} + \frac{2}{15} \, x^{\frac{3}{2}} - 2 \, \log\left(x\right)"," ",0,"2/5*x^(5/2) + 2/15*x^(3/2) - 2*log(x)","A",0
