1,1,1,0,1.405792," ","integrate(0,x, algorithm=""fricas"")","0"," ",0,"0","A",0
2,1,1,0,1.442982," ","integrate(1,x, algorithm=""fricas"")","x"," ",0,"x","A",0
3,1,3,0,1.448123," ","integrate(5,x, algorithm=""fricas"")","5 x"," ",0,"5*x","A",0
4,1,3,0,1.257243," ","integrate(-2,x, algorithm=""fricas"")","-2 x"," ",0,"-2*x","A",0
5,1,3,0,1.294869," ","integrate(-3/2,x, algorithm=""fricas"")","-\frac{3}{2} \, x"," ",0,"-3/2*x","A",0
6,1,3,0,1.457609," ","integrate(pi,x, algorithm=""fricas"")","\pi x"," ",0,"pi*x","A",0
7,1,3,0,0.678990," ","integrate(a,x, algorithm=""fricas"")","x a"," ",0,"x*a","A",0
8,1,4,0,0.860808," ","integrate(3*a,x, algorithm=""fricas"")","3 x a"," ",0,"3*x*a","A",0
9,1,18,0,1.202941," ","integrate(pi/(16-exp(2))^(1/2),x, algorithm=""fricas"")","-\frac{\pi x \sqrt{-e^{2} + 16}}{e^{2} - 16}"," ",0,"-pi*x*sqrt(-e^2 + 16)/(e^2 - 16)","A",0
10,1,5,0,1.309841," ","integrate(x^100,x, algorithm=""fricas"")","\frac{1}{101} x^{101}"," ",0,"1/101*x^101","A",0
11,1,5,0,1.137193," ","integrate(x^3,x, algorithm=""fricas"")","\frac{1}{4} x^{4}"," ",0,"1/4*x^4","A",0
12,1,5,0,1.129883," ","integrate(x^2,x, algorithm=""fricas"")","\frac{1}{3} x^{3}"," ",0,"1/3*x^3","A",0
13,1,5,0,1.104602," ","integrate(x,x, algorithm=""fricas"")","\frac{1}{2} x^{2}"," ",0,"1/2*x^2","A",0
14,1,1,0,1.287097," ","integrate(1,x, algorithm=""fricas"")","x"," ",0,"x","A",0
15,1,2,0,0.995229," ","integrate(1/x,x, algorithm=""fricas"")","\log\left(x\right)"," ",0,"log(x)","A",0
16,1,5,0,1.792776," ","integrate(1/x^2,x, algorithm=""fricas"")","-\frac{1}{x}"," ",0,"-1/x","A",0
17,1,5,0,1.336492," ","integrate(1/x^3,x, algorithm=""fricas"")","-\frac{1}{2 \, x^{2}}"," ",0,"-1/2/x^2","A",0
18,1,5,0,1.263286," ","integrate(1/x^4,x, algorithm=""fricas"")","-\frac{1}{3 \, x^{3}}"," ",0,"-1/3/x^3","A",0
19,1,5,0,1.310876," ","integrate(1/x^100,x, algorithm=""fricas"")","-\frac{1}{99 \, x^{99}}"," ",0,"-1/99/x^99","A",0
20,1,5,0,0.862924," ","integrate(x^(5/2),x, algorithm=""fricas"")","\frac{2}{7} \, x^{\frac{7}{2}}"," ",0,"2/7*x^(7/2)","A",0
21,1,5,0,1.547428," ","integrate(x^(3/2),x, algorithm=""fricas"")","\frac{2}{5} \, x^{\frac{5}{2}}"," ",0,"2/5*x^(5/2)","A",0
22,1,5,0,0.931567," ","integrate(x^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, x^{\frac{3}{2}}"," ",0,"2/3*x^(3/2)","A",0
23,1,5,0,0.771254," ","integrate(1/x^(1/2),x, algorithm=""fricas"")","2 \, \sqrt{x}"," ",0,"2*sqrt(x)","A",0
24,1,5,0,1.426926," ","integrate(1/x^(3/2),x, algorithm=""fricas"")","-\frac{2}{\sqrt{x}}"," ",0,"-2/sqrt(x)","A",0
25,1,5,0,1.361990," ","integrate(1/x^(5/2),x, algorithm=""fricas"")","-\frac{2}{3 \, x^{\frac{3}{2}}}"," ",0,"-2/3/x^(3/2)","A",0
26,1,5,0,1.264567," ","integrate(x^(5/3),x, algorithm=""fricas"")","\frac{3}{8} \, x^{\frac{8}{3}}"," ",0,"3/8*x^(8/3)","A",0
27,1,5,0,1.470032," ","integrate(x^(4/3),x, algorithm=""fricas"")","\frac{3}{7} \, x^{\frac{7}{3}}"," ",0,"3/7*x^(7/3)","A",0
28,1,5,0,0.698997," ","integrate(x^(2/3),x, algorithm=""fricas"")","\frac{3}{5} \, x^{\frac{5}{3}}"," ",0,"3/5*x^(5/3)","A",0
29,1,5,0,1.391406," ","integrate(x^(1/3),x, algorithm=""fricas"")","\frac{3}{4} \, x^{\frac{4}{3}}"," ",0,"3/4*x^(4/3)","A",0
30,1,5,0,1.350139," ","integrate(1/x^(1/3),x, algorithm=""fricas"")","\frac{3}{2} \, x^{\frac{2}{3}}"," ",0,"3/2*x^(2/3)","A",0
31,1,5,0,0.813715," ","integrate(1/x^(2/3),x, algorithm=""fricas"")","3 \, x^{\frac{1}{3}}"," ",0,"3*x^(1/3)","A",0
32,1,5,0,1.424119," ","integrate(1/x^(4/3),x, algorithm=""fricas"")","-\frac{3}{x^{\frac{1}{3}}}"," ",0,"-3/x^(1/3)","A",0
33,1,5,0,1.106119," ","integrate(1/x^(5/3),x, algorithm=""fricas"")","-\frac{3}{2 \, x^{\frac{2}{3}}}"," ",0,"-3/2/x^(2/3)","A",0
34,1,10,0,1.686040," ","integrate(x^n,x, algorithm=""fricas"")","\frac{x x^{n}}{n + 1}"," ",0,"x*x^n/(n + 1)","A",0
35,1,12,0,1.370708," ","integrate((b*x)^n,x, algorithm=""fricas"")","\frac{\left(b x\right)^{n} x}{n + 1}"," ",0,"(b*x)^n*x/(n + 1)","A",0
36,1,21,0,1.446479," ","integrate(1/(e*(d*x+c)+(-a)^(1/2)),x, algorithm=""fricas"")","\frac{\log\left(d e x + c e + \sqrt{-a}\right)}{d e}"," ",0,"log(d*e*x + c*e + sqrt(-a))/(d*e)","A",0
37,1,104,0,1.483870," ","integrate((c+d*(b*x+a))^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{3} d^{3} x^{3} + a^{3} d^{3} + 3 \, a^{2} c d^{2} + 3 \, a c^{2} d + c^{3} + 3 \, {\left(a b^{2} d^{3} + b^{2} c d^{2}\right)} x^{2} + 3 \, {\left(a^{2} b d^{3} + 2 \, a b c d^{2} + b c^{2} d\right)} x\right)} \sqrt{b d x + a d + c}}{7 \, b d}"," ",0,"2/7*(b^3*d^3*x^3 + a^3*d^3 + 3*a^2*c*d^2 + 3*a*c^2*d + c^3 + 3*(a*b^2*d^3 + b^2*c*d^2)*x^2 + 3*(a^2*b*d^3 + 2*a*b*c*d^2 + b*c^2*d)*x)*sqrt(b*d*x + a*d + c)/(b*d)","B",0
38,1,59,0,0.869211," ","integrate((c+d*(b*x+a))^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} d^{2} x^{2} + a^{2} d^{2} + 2 \, a c d + c^{2} + 2 \, {\left(a b d^{2} + b c d\right)} x\right)} \sqrt{b d x + a d + c}}{5 \, b d}"," ",0,"2/5*(b^2*d^2*x^2 + a^2*d^2 + 2*a*c*d + c^2 + 2*(a*b*d^2 + b*c*d)*x)*sqrt(b*d*x + a*d + c)/(b*d)","B",0
39,1,19,0,1.402627," ","integrate((c+d*(b*x+a))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b d x + a d + c\right)}^{\frac{3}{2}}}{3 \, b d}"," ",0,"2/3*(b*d*x + a*d + c)^(3/2)/(b*d)","A",0
40,1,19,0,1.072952," ","integrate(1/(c+d*(b*x+a))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b d x + a d + c}}{b d}"," ",0,"2*sqrt(b*d*x + a*d + c)/(b*d)","A",0
41,1,34,0,1.571906," ","integrate(1/(c+d*(b*x+a))^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b d x + a d + c}}{b^{2} d^{2} x + a b d^{2} + b c d}"," ",0,"-2*sqrt(b*d*x + a*d + c)/(b^2*d^2*x + a*b*d^2 + b*c*d)","A",0
42,1,68,0,1.405619," ","integrate(1/(c+d*(b*x+a))^(5/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b d x + a d + c}}{3 \, {\left(b^{3} d^{3} x^{2} + a^{2} b d^{3} + 2 \, a b c d^{2} + b c^{2} d + 2 \, {\left(a b^{2} d^{3} + b^{2} c d^{2}\right)} x\right)}}"," ",0,"-2/3*sqrt(b*d*x + a*d + c)/(b^3*d^3*x^2 + a^2*b*d^3 + 2*a*b*c*d^2 + b*c^2*d + 2*(a*b^2*d^3 + b^2*c*d^2)*x)","B",0
43,1,13,0,1.340638," ","integrate(x^3*(b*x+a),x, algorithm=""fricas"")","\frac{1}{5} x^{5} b + \frac{1}{4} x^{4} a"," ",0,"1/5*x^5*b + 1/4*x^4*a","A",0
44,1,13,0,1.451933," ","integrate(x^2*(b*x+a),x, algorithm=""fricas"")","\frac{1}{4} x^{4} b + \frac{1}{3} x^{3} a"," ",0,"1/4*x^4*b + 1/3*x^3*a","A",0
45,1,13,0,1.255159," ","integrate(x*(b*x+a),x, algorithm=""fricas"")","\frac{1}{3} x^{3} b + \frac{1}{2} x^{2} a"," ",0,"1/3*x^3*b + 1/2*x^2*a","A",0
46,1,10,0,1.360305," ","integrate(b*x+a,x, algorithm=""fricas"")","\frac{1}{2} x^{2} b + x a"," ",0,"1/2*x^2*b + x*a","A",0
47,1,8,0,1.263560," ","integrate((b*x+a)/x,x, algorithm=""fricas"")","b x + a \log\left(x\right)"," ",0,"b*x + a*log(x)","A",0
48,1,13,0,1.407649," ","integrate((b*x+a)/x^2,x, algorithm=""fricas"")","\frac{b x \log\left(x\right) - a}{x}"," ",0,"(b*x*log(x) - a)/x","A",0
49,1,11,0,1.316278," ","integrate((b*x+a)/x^3,x, algorithm=""fricas"")","-\frac{2 \, b x + a}{2 \, x^{2}}"," ",0,"-1/2*(2*b*x + a)/x^2","A",0
50,1,13,0,1.376005," ","integrate((b*x+a)/x^4,x, algorithm=""fricas"")","-\frac{3 \, b x + 2 \, a}{6 \, x^{3}}"," ",0,"-1/6*(3*b*x + 2*a)/x^3","A",0
51,1,13,0,1.466430," ","integrate((b*x+a)/x^5,x, algorithm=""fricas"")","-\frac{4 \, b x + 3 \, a}{12 \, x^{4}}"," ",0,"-1/12*(4*b*x + 3*a)/x^4","A",0
52,1,24,0,0.749484," ","integrate(x^3*(b*x+a)^2,x, algorithm=""fricas"")","\frac{1}{6} x^{6} b^{2} + \frac{2}{5} x^{5} b a + \frac{1}{4} x^{4} a^{2}"," ",0,"1/6*x^6*b^2 + 2/5*x^5*b*a + 1/4*x^4*a^2","A",0
53,1,24,0,1.129609," ","integrate(x^2*(b*x+a)^2,x, algorithm=""fricas"")","\frac{1}{5} x^{5} b^{2} + \frac{1}{2} x^{4} b a + \frac{1}{3} x^{3} a^{2}"," ",0,"1/5*x^5*b^2 + 1/2*x^4*b*a + 1/3*x^3*a^2","A",0
54,1,24,0,1.152377," ","integrate(x*(b*x+a)^2,x, algorithm=""fricas"")","\frac{1}{4} x^{4} b^{2} + \frac{2}{3} x^{3} b a + \frac{1}{2} x^{2} a^{2}"," ",0,"1/4*x^4*b^2 + 2/3*x^3*b*a + 1/2*x^2*a^2","A",0
55,1,20,0,1.218077," ","integrate((b*x+a)^2,x, algorithm=""fricas"")","\frac{1}{3} x^{3} b^{2} + x^{2} b a + x a^{2}"," ",0,"1/3*x^3*b^2 + x^2*b*a + x*a^2","A",0
56,1,20,0,0.841267," ","integrate((b*x+a)^2/x,x, algorithm=""fricas"")","\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
57,1,24,0,1.366414," ","integrate((b*x+a)^2/x^2,x, algorithm=""fricas"")","\frac{b^{2} x^{2} + 2 \, a b x \log\left(x\right) - a^{2}}{x}"," ",0,"(b^2*x^2 + 2*a*b*x*log(x) - a^2)/x","A",0
58,1,26,0,0.908605," ","integrate((b*x+a)^2/x^3,x, algorithm=""fricas"")","\frac{2 \, b^{2} x^{2} \log\left(x\right) - 4 \, a b x - a^{2}}{2 \, x^{2}}"," ",0,"1/2*(2*b^2*x^2*log(x) - 4*a*b*x - a^2)/x^2","A",0
59,1,22,0,1.294049," ","integrate((b*x+a)^2/x^4,x, algorithm=""fricas"")","-\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
60,1,24,0,0.884767," ","integrate((b*x+a)^2/x^5,x, algorithm=""fricas"")","-\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
61,1,24,0,1.433766," ","integrate((b*x+a)^2/x^6,x, algorithm=""fricas"")","-\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
62,1,24,0,0.718641," ","integrate((b*x+a)^2/x^7,x, algorithm=""fricas"")","-\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
63,1,24,0,1.363298," ","integrate((b*x+a)^2/x^8,x, algorithm=""fricas"")","-\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
64,1,35,0,1.074369," ","integrate(x^4*(b*x+a)^3,x, algorithm=""fricas"")","\frac{1}{8} x^{8} b^{3} + \frac{3}{7} x^{7} b^{2} a + \frac{1}{2} x^{6} b a^{2} + \frac{1}{5} x^{5} a^{3}"," ",0,"1/8*x^8*b^3 + 3/7*x^7*b^2*a + 1/2*x^6*b*a^2 + 1/5*x^5*a^3","A",0
65,1,35,0,0.685981," ","integrate(x^3*(b*x+a)^3,x, algorithm=""fricas"")","\frac{1}{7} x^{7} b^{3} + \frac{1}{2} x^{6} b^{2} a + \frac{3}{5} x^{5} b a^{2} + \frac{1}{4} x^{4} a^{3}"," ",0,"1/7*x^7*b^3 + 1/2*x^6*b^2*a + 3/5*x^5*b*a^2 + 1/4*x^4*a^3","A",0
66,1,35,0,0.950747," ","integrate(x^2*(b*x+a)^3,x, algorithm=""fricas"")","\frac{1}{6} x^{6} b^{3} + \frac{3}{5} x^{5} b^{2} a + \frac{3}{4} x^{4} b a^{2} + \frac{1}{3} x^{3} a^{3}"," ",0,"1/6*x^6*b^3 + 3/5*x^5*b^2*a + 3/4*x^4*b*a^2 + 1/3*x^3*a^3","A",0
67,1,34,0,0.695068," ","integrate(x*(b*x+a)^3,x, algorithm=""fricas"")","\frac{1}{5} x^{5} b^{3} + \frac{3}{4} x^{4} b^{2} a + x^{3} b a^{2} + \frac{1}{2} x^{2} a^{3}"," ",0,"1/5*x^5*b^3 + 3/4*x^4*b^2*a + x^3*b*a^2 + 1/2*x^2*a^3","A",0
68,1,31,0,1.341264," ","integrate((b*x+a)^3,x, algorithm=""fricas"")","\frac{1}{4} x^{4} b^{3} + x^{3} b^{2} a + \frac{3}{2} x^{2} b a^{2} + x a^{3}"," ",0,"1/4*x^4*b^3 + x^3*b^2*a + 3/2*x^2*b*a^2 + x*a^3","B",0
69,1,31,0,1.333631," ","integrate((b*x+a)^3/x,x, algorithm=""fricas"")","\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
70,1,36,0,1.542341," ","integrate((b*x+a)^3/x^2,x, algorithm=""fricas"")","\frac{b^{3} x^{3} + 6 \, a b^{2} x^{2} + 6 \, a^{2} b x \log\left(x\right) - 2 \, a^{3}}{2 \, x}"," ",0,"1/2*(b^3*x^3 + 6*a*b^2*x^2 + 6*a^2*b*x*log(x) - 2*a^3)/x","A",0
71,1,37,0,1.327874," ","integrate((b*x+a)^3/x^3,x, algorithm=""fricas"")","\frac{2 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} \log\left(x\right) - 6 \, a^{2} b x - a^{3}}{2 \, x^{2}}"," ",0,"1/2*(2*b^3*x^3 + 6*a*b^2*x^2*log(x) - 6*a^2*b*x - a^3)/x^2","A",0
72,1,37,0,1.006051," ","integrate((b*x+a)^3/x^4,x, algorithm=""fricas"")","\frac{6 \, b^{3} x^{3} \log\left(x\right) - 18 \, a b^{2} x^{2} - 9 \, a^{2} b x - 2 \, a^{3}}{6 \, x^{3}}"," ",0,"1/6*(6*b^3*x^3*log(x) - 18*a*b^2*x^2 - 9*a^2*b*x - 2*a^3)/x^3","A",0
73,1,33,0,1.297358," ","integrate((b*x+a)^3/x^5,x, algorithm=""fricas"")","-\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
74,1,35,0,1.477933," ","integrate((b*x+a)^3/x^6,x, algorithm=""fricas"")","-\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
75,1,35,0,0.974128," ","integrate((b*x+a)^3/x^7,x, algorithm=""fricas"")","-\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
76,1,35,0,1.026272," ","integrate((b*x+a)^3/x^8,x, algorithm=""fricas"")","-\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
77,1,56,0,0.840926," ","integrate(x^6*(b*x+a)^5,x, algorithm=""fricas"")","\frac{1}{12} x^{12} b^{5} + \frac{5}{11} x^{11} b^{4} a + x^{10} b^{3} a^{2} + \frac{10}{9} x^{9} b^{2} a^{3} + \frac{5}{8} x^{8} b a^{4} + \frac{1}{7} x^{7} a^{5}"," ",0,"1/12*x^12*b^5 + 5/11*x^11*b^4*a + x^10*b^3*a^2 + 10/9*x^9*b^2*a^3 + 5/8*x^8*b*a^4 + 1/7*x^7*a^5","A",0
78,1,57,0,1.287459," ","integrate(x^5*(b*x+a)^5,x, algorithm=""fricas"")","\frac{1}{11} x^{11} b^{5} + \frac{1}{2} x^{10} b^{4} a + \frac{10}{9} x^{9} b^{3} a^{2} + \frac{5}{4} x^{8} b^{2} a^{3} + \frac{5}{7} x^{7} b a^{4} + \frac{1}{6} x^{6} a^{5}"," ",0,"1/11*x^11*b^5 + 1/2*x^10*b^4*a + 10/9*x^9*b^3*a^2 + 5/4*x^8*b^2*a^3 + 5/7*x^7*b*a^4 + 1/6*x^6*a^5","A",0
79,1,57,0,1.326706," ","integrate(x^4*(b*x+a)^5,x, algorithm=""fricas"")","\frac{1}{10} x^{10} b^{5} + \frac{5}{9} x^{9} b^{4} a + \frac{5}{4} x^{8} b^{3} a^{2} + \frac{10}{7} x^{7} b^{2} a^{3} + \frac{5}{6} x^{6} b a^{4} + \frac{1}{5} x^{5} a^{5}"," ",0,"1/10*x^10*b^5 + 5/9*x^9*b^4*a + 5/4*x^8*b^3*a^2 + 10/7*x^7*b^2*a^3 + 5/6*x^6*b*a^4 + 1/5*x^5*a^5","A",0
80,1,56,0,1.278219," ","integrate(x^3*(b*x+a)^5,x, algorithm=""fricas"")","\frac{1}{9} x^{9} b^{5} + \frac{5}{8} x^{8} b^{4} a + \frac{10}{7} x^{7} b^{3} a^{2} + \frac{5}{3} x^{6} b^{2} a^{3} + x^{5} b a^{4} + \frac{1}{4} x^{4} a^{5}"," ",0,"1/9*x^9*b^5 + 5/8*x^8*b^4*a + 10/7*x^7*b^3*a^2 + 5/3*x^6*b^2*a^3 + x^5*b*a^4 + 1/4*x^4*a^5","A",0
81,1,57,0,1.406469," ","integrate(x^2*(b*x+a)^5,x, algorithm=""fricas"")","\frac{1}{8} x^{8} b^{5} + \frac{5}{7} x^{7} b^{4} a + \frac{5}{3} x^{6} b^{3} a^{2} + 2 x^{5} b^{2} a^{3} + \frac{5}{4} x^{4} b a^{4} + \frac{1}{3} x^{3} a^{5}"," ",0,"1/8*x^8*b^5 + 5/7*x^7*b^4*a + 5/3*x^6*b^3*a^2 + 2*x^5*b^2*a^3 + 5/4*x^4*b*a^4 + 1/3*x^3*a^5","A",0
82,1,57,0,0.797119," ","integrate(x*(b*x+a)^5,x, algorithm=""fricas"")","\frac{1}{7} x^{7} b^{5} + \frac{5}{6} x^{6} b^{4} a + 2 x^{5} b^{3} a^{2} + \frac{5}{2} x^{4} b^{2} a^{3} + \frac{5}{3} x^{3} b a^{4} + \frac{1}{2} x^{2} a^{5}"," ",0,"1/7*x^7*b^5 + 5/6*x^6*b^4*a + 2*x^5*b^3*a^2 + 5/2*x^4*b^2*a^3 + 5/3*x^3*b*a^4 + 1/2*x^2*a^5","B",0
83,1,53,0,1.207914," ","integrate((b*x+a)^5,x, algorithm=""fricas"")","\frac{1}{6} x^{6} b^{5} + x^{5} b^{4} a + \frac{5}{2} x^{4} b^{3} a^{2} + \frac{10}{3} x^{3} b^{2} a^{3} + \frac{5}{2} x^{2} b a^{4} + x a^{5}"," ",0,"1/6*x^6*b^5 + x^5*b^4*a + 5/2*x^4*b^3*a^2 + 10/3*x^3*b^2*a^3 + 5/2*x^2*b*a^4 + x*a^5","B",0
84,1,53,0,1.437162," ","integrate((b*x+a)^5/x,x, algorithm=""fricas"")","\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
85,1,59,0,0.969214," ","integrate((b*x+a)^5/x^2,x, algorithm=""fricas"")","\frac{3 \, b^{5} x^{5} + 20 \, a b^{4} x^{4} + 60 \, a^{2} b^{3} x^{3} + 120 \, a^{3} b^{2} x^{2} + 60 \, a^{4} b x \log\left(x\right) - 12 \, a^{5}}{12 \, x}"," ",0,"1/12*(3*b^5*x^5 + 20*a*b^4*x^4 + 60*a^2*b^3*x^3 + 120*a^3*b^2*x^2 + 60*a^4*b*x*log(x) - 12*a^5)/x","A",0
86,1,59,0,0.747291," ","integrate((b*x+a)^5/x^3,x, algorithm=""fricas"")","\frac{2 \, b^{5} x^{5} + 15 \, a b^{4} x^{4} + 60 \, a^{2} b^{3} x^{3} + 60 \, a^{3} b^{2} x^{2} \log\left(x\right) - 30 \, a^{4} b x - 3 \, a^{5}}{6 \, x^{2}}"," ",0,"1/6*(2*b^5*x^5 + 15*a*b^4*x^4 + 60*a^2*b^3*x^3 + 60*a^3*b^2*x^2*log(x) - 30*a^4*b*x - 3*a^5)/x^2","A",0
87,1,59,0,1.732225," ","integrate((b*x+a)^5/x^4,x, algorithm=""fricas"")","\frac{3 \, b^{5} x^{5} + 30 \, a b^{4} x^{4} + 60 \, a^{2} b^{3} x^{3} \log\left(x\right) - 60 \, a^{3} b^{2} x^{2} - 15 \, a^{4} b x - 2 \, a^{5}}{6 \, x^{3}}"," ",0,"1/6*(3*b^5*x^5 + 30*a*b^4*x^4 + 60*a^2*b^3*x^3*log(x) - 60*a^3*b^2*x^2 - 15*a^4*b*x - 2*a^5)/x^3","A",0
88,1,59,0,0.807424," ","integrate((b*x+a)^5/x^5,x, algorithm=""fricas"")","\frac{12 \, b^{5} x^{5} + 60 \, a b^{4} x^{4} \log\left(x\right) - 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,"1/12*(12*b^5*x^5 + 60*a*b^4*x^4*log(x) - 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
89,1,59,0,1.933803," ","integrate((b*x+a)^5/x^6,x, algorithm=""fricas"")","\frac{60 \, b^{5} x^{5} \log\left(x\right) - 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,"1/60*(60*b^5*x^5*log(x) - 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
90,1,55,0,1.136416," ","integrate((b*x+a)^5/x^7,x, algorithm=""fricas"")","-\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
91,1,57,0,1.371301," ","integrate((b*x+a)^5/x^8,x, algorithm=""fricas"")","-\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
92,1,57,0,1.767129," ","integrate((b*x+a)^5/x^9,x, algorithm=""fricas"")","-\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
93,1,57,0,1.101036," ","integrate((b*x+a)^5/x^10,x, algorithm=""fricas"")","-\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
94,1,57,0,0.979410," ","integrate((b*x+a)^5/x^11,x, algorithm=""fricas"")","-\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
95,1,57,0,0.834526," ","integrate((b*x+a)^5/x^12,x, algorithm=""fricas"")","-\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
96,1,57,0,0.729687," ","integrate((b*x+a)^5/x^13,x, algorithm=""fricas"")","-\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
97,1,57,0,1.185408," ","integrate((b*x+a)^5/x^14,x, algorithm=""fricas"")","-\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
98,1,79,0,1.286311," ","integrate(x^8*(b*x+a)^7,x, algorithm=""fricas"")","\frac{1}{16} x^{16} b^{7} + \frac{7}{15} x^{15} b^{6} a + \frac{3}{2} x^{14} b^{5} a^{2} + \frac{35}{13} x^{13} b^{4} a^{3} + \frac{35}{12} x^{12} b^{3} a^{4} + \frac{21}{11} x^{11} b^{2} a^{5} + \frac{7}{10} x^{10} b a^{6} + \frac{1}{9} x^{9} a^{7}"," ",0,"1/16*x^16*b^7 + 7/15*x^15*b^6*a + 3/2*x^14*b^5*a^2 + 35/13*x^13*b^4*a^3 + 35/12*x^12*b^3*a^4 + 21/11*x^11*b^2*a^5 + 7/10*x^10*b*a^6 + 1/9*x^9*a^7","A",0
99,1,79,0,1.343168," ","integrate(x^7*(b*x+a)^7,x, algorithm=""fricas"")","\frac{1}{15} x^{15} b^{7} + \frac{1}{2} x^{14} b^{6} a + \frac{21}{13} x^{13} b^{5} a^{2} + \frac{35}{12} x^{12} b^{4} a^{3} + \frac{35}{11} x^{11} b^{3} a^{4} + \frac{21}{10} x^{10} b^{2} a^{5} + \frac{7}{9} x^{9} b a^{6} + \frac{1}{8} x^{8} a^{7}"," ",0,"1/15*x^15*b^7 + 1/2*x^14*b^6*a + 21/13*x^13*b^5*a^2 + 35/12*x^12*b^4*a^3 + 35/11*x^11*b^3*a^4 + 21/10*x^10*b^2*a^5 + 7/9*x^9*b*a^6 + 1/8*x^8*a^7","A",0
100,1,79,0,1.324905," ","integrate(x^6*(b*x+a)^7,x, algorithm=""fricas"")","\frac{1}{14} x^{14} b^{7} + \frac{7}{13} x^{13} b^{6} a + \frac{7}{4} x^{12} b^{5} a^{2} + \frac{35}{11} x^{11} b^{4} a^{3} + \frac{7}{2} x^{10} b^{3} a^{4} + \frac{7}{3} x^{9} b^{2} a^{5} + \frac{7}{8} x^{8} b a^{6} + \frac{1}{7} x^{7} a^{7}"," ",0,"1/14*x^14*b^7 + 7/13*x^13*b^6*a + 7/4*x^12*b^5*a^2 + 35/11*x^11*b^4*a^3 + 7/2*x^10*b^3*a^4 + 7/3*x^9*b^2*a^5 + 7/8*x^8*b*a^6 + 1/7*x^7*a^7","A",0
101,1,78,0,1.343908," ","integrate(x^5*(b*x+a)^7,x, algorithm=""fricas"")","\frac{1}{13} x^{13} b^{7} + \frac{7}{12} x^{12} b^{6} a + \frac{21}{11} x^{11} b^{5} a^{2} + \frac{7}{2} x^{10} b^{4} a^{3} + \frac{35}{9} x^{9} b^{3} a^{4} + \frac{21}{8} x^{8} b^{2} a^{5} + x^{7} b a^{6} + \frac{1}{6} x^{6} a^{7}"," ",0,"1/13*x^13*b^7 + 7/12*x^12*b^6*a + 21/11*x^11*b^5*a^2 + 7/2*x^10*b^4*a^3 + 35/9*x^9*b^3*a^4 + 21/8*x^8*b^2*a^5 + x^7*b*a^6 + 1/6*x^6*a^7","A",0
102,1,79,0,1.256719," ","integrate(x^4*(b*x+a)^7,x, algorithm=""fricas"")","\frac{1}{12} x^{12} b^{7} + \frac{7}{11} x^{11} b^{6} a + \frac{21}{10} x^{10} b^{5} a^{2} + \frac{35}{9} x^{9} b^{4} a^{3} + \frac{35}{8} x^{8} b^{3} a^{4} + 3 x^{7} b^{2} a^{5} + \frac{7}{6} x^{6} b a^{6} + \frac{1}{5} x^{5} a^{7}"," ",0,"1/12*x^12*b^7 + 7/11*x^11*b^6*a + 21/10*x^10*b^5*a^2 + 35/9*x^9*b^4*a^3 + 35/8*x^8*b^3*a^4 + 3*x^7*b^2*a^5 + 7/6*x^6*b*a^6 + 1/5*x^5*a^7","A",0
103,1,79,0,1.326589," ","integrate(x^3*(b*x+a)^7,x, algorithm=""fricas"")","\frac{1}{11} x^{11} b^{7} + \frac{7}{10} x^{10} b^{6} a + \frac{7}{3} x^{9} b^{5} a^{2} + \frac{35}{8} x^{8} b^{4} a^{3} + 5 x^{7} b^{3} a^{4} + \frac{7}{2} x^{6} b^{2} a^{5} + \frac{7}{5} x^{5} b a^{6} + \frac{1}{4} x^{4} a^{7}"," ",0,"1/11*x^11*b^7 + 7/10*x^10*b^6*a + 7/3*x^9*b^5*a^2 + 35/8*x^8*b^4*a^3 + 5*x^7*b^3*a^4 + 7/2*x^6*b^2*a^5 + 7/5*x^5*b*a^6 + 1/4*x^4*a^7","A",0
104,1,79,0,1.110980," ","integrate(x^2*(b*x+a)^7,x, algorithm=""fricas"")","\frac{1}{10} x^{10} b^{7} + \frac{7}{9} x^{9} b^{6} a + \frac{21}{8} x^{8} b^{5} a^{2} + 5 x^{7} b^{4} a^{3} + \frac{35}{6} x^{6} b^{3} a^{4} + \frac{21}{5} x^{5} b^{2} a^{5} + \frac{7}{4} x^{4} b a^{6} + \frac{1}{3} x^{3} a^{7}"," ",0,"1/10*x^10*b^7 + 7/9*x^9*b^6*a + 21/8*x^8*b^5*a^2 + 5*x^7*b^4*a^3 + 35/6*x^6*b^3*a^4 + 21/5*x^5*b^2*a^5 + 7/4*x^4*b*a^6 + 1/3*x^3*a^7","A",0
105,1,79,0,0.995771," ","integrate(x*(b*x+a)^7,x, algorithm=""fricas"")","\frac{1}{9} x^{9} b^{7} + \frac{7}{8} x^{8} b^{6} a + 3 x^{7} b^{5} a^{2} + \frac{35}{6} x^{6} b^{4} a^{3} + 7 x^{5} b^{3} a^{4} + \frac{21}{4} x^{4} b^{2} a^{5} + \frac{7}{3} x^{3} b a^{6} + \frac{1}{2} x^{2} a^{7}"," ",0,"1/9*x^9*b^7 + 7/8*x^8*b^6*a + 3*x^7*b^5*a^2 + 35/6*x^6*b^4*a^3 + 7*x^5*b^3*a^4 + 21/4*x^4*b^2*a^5 + 7/3*x^3*b*a^6 + 1/2*x^2*a^7","B",0
106,1,75,0,0.891260," ","integrate((b*x+a)^7,x, algorithm=""fricas"")","\frac{1}{8} x^{8} b^{7} + x^{7} b^{6} a + \frac{7}{2} x^{6} b^{5} a^{2} + 7 x^{5} b^{4} a^{3} + \frac{35}{4} x^{4} b^{3} a^{4} + 7 x^{3} b^{2} a^{5} + \frac{7}{2} x^{2} b a^{6} + x a^{7}"," ",0,"1/8*x^8*b^7 + x^7*b^6*a + 7/2*x^6*b^5*a^2 + 7*x^5*b^4*a^3 + 35/4*x^4*b^3*a^4 + 7*x^3*b^2*a^5 + 7/2*x^2*b*a^6 + x*a^7","B",0
107,1,75,0,1.382554," ","integrate((b*x+a)^7/x,x, algorithm=""fricas"")","\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
108,1,81,0,1.313817," ","integrate((b*x+a)^7/x^2,x, algorithm=""fricas"")","\frac{10 \, b^{7} x^{7} + 84 \, a b^{6} x^{6} + 315 \, a^{2} b^{5} x^{5} + 700 \, a^{3} b^{4} x^{4} + 1050 \, a^{4} b^{3} x^{3} + 1260 \, a^{5} b^{2} x^{2} + 420 \, a^{6} b x \log\left(x\right) - 60 \, a^{7}}{60 \, x}"," ",0,"1/60*(10*b^7*x^7 + 84*a*b^6*x^6 + 315*a^2*b^5*x^5 + 700*a^3*b^4*x^4 + 1050*a^4*b^3*x^3 + 1260*a^5*b^2*x^2 + 420*a^6*b*x*log(x) - 60*a^7)/x","A",0
109,1,81,0,1.618086," ","integrate((b*x+a)^7/x^3,x, algorithm=""fricas"")","\frac{4 \, b^{7} x^{7} + 35 \, a b^{6} x^{6} + 140 \, a^{2} b^{5} x^{5} + 350 \, a^{3} b^{4} x^{4} + 700 \, a^{4} b^{3} x^{3} + 420 \, a^{5} b^{2} x^{2} \log\left(x\right) - 140 \, a^{6} b x - 10 \, a^{7}}{20 \, x^{2}}"," ",0,"1/20*(4*b^7*x^7 + 35*a*b^6*x^6 + 140*a^2*b^5*x^5 + 350*a^3*b^4*x^4 + 700*a^4*b^3*x^3 + 420*a^5*b^2*x^2*log(x) - 140*a^6*b*x - 10*a^7)/x^2","A",0
110,1,81,0,1.330117," ","integrate((b*x+a)^7/x^4,x, algorithm=""fricas"")","\frac{3 \, b^{7} x^{7} + 28 \, a b^{6} x^{6} + 126 \, a^{2} b^{5} x^{5} + 420 \, a^{3} b^{4} x^{4} + 420 \, a^{4} b^{3} x^{3} \log\left(x\right) - 252 \, a^{5} b^{2} x^{2} - 42 \, a^{6} b x - 4 \, a^{7}}{12 \, x^{3}}"," ",0,"1/12*(3*b^7*x^7 + 28*a*b^6*x^6 + 126*a^2*b^5*x^5 + 420*a^3*b^4*x^4 + 420*a^4*b^3*x^3*log(x) - 252*a^5*b^2*x^2 - 42*a^6*b*x - 4*a^7)/x^3","A",0
111,1,81,0,1.518243," ","integrate((b*x+a)^7/x^5,x, algorithm=""fricas"")","\frac{4 \, b^{7} x^{7} + 42 \, a b^{6} x^{6} + 252 \, a^{2} b^{5} x^{5} + 420 \, a^{3} b^{4} x^{4} \log\left(x\right) - 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,"1/12*(4*b^7*x^7 + 42*a*b^6*x^6 + 252*a^2*b^5*x^5 + 420*a^3*b^4*x^4*log(x) - 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
112,1,81,0,1.641696," ","integrate((b*x+a)^7/x^6,x, algorithm=""fricas"")","\frac{10 \, b^{7} x^{7} + 140 \, a b^{6} x^{6} + 420 \, a^{2} b^{5} x^{5} \log\left(x\right) - 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,"1/20*(10*b^7*x^7 + 140*a*b^6*x^6 + 420*a^2*b^5*x^5*log(x) - 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
113,1,81,0,1.404302," ","integrate((b*x+a)^7/x^7,x, algorithm=""fricas"")","\frac{60 \, b^{7} x^{7} + 420 \, a b^{6} x^{6} \log\left(x\right) - 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,"1/60*(60*b^7*x^7 + 420*a*b^6*x^6*log(x) - 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
114,1,81,0,1.331958," ","integrate((b*x+a)^7/x^8,x, algorithm=""fricas"")","\frac{420 \, b^{7} x^{7} \log\left(x\right) - 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,"1/420*(420*b^7*x^7*log(x) - 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
115,1,77,0,1.406766," ","integrate((b*x+a)^7/x^9,x, algorithm=""fricas"")","-\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
116,1,79,0,1.209739," ","integrate((b*x+a)^7/x^10,x, algorithm=""fricas"")","-\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
117,1,79,0,1.322891," ","integrate((b*x+a)^7/x^11,x, algorithm=""fricas"")","-\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
118,1,79,0,0.941370," ","integrate((b*x+a)^7/x^12,x, algorithm=""fricas"")","-\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
119,1,79,0,1.125355," ","integrate((b*x+a)^7/x^13,x, algorithm=""fricas"")","-\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
120,1,79,0,0.863447," ","integrate((b*x+a)^7/x^14,x, algorithm=""fricas"")","-\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
121,1,79,0,0.823454," ","integrate((b*x+a)^7/x^15,x, algorithm=""fricas"")","-\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
122,1,79,0,1.427787," ","integrate((b*x+a)^7/x^16,x, algorithm=""fricas"")","-\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
123,1,112,0,1.228543," ","integrate(x^11*(b*x+a)^10,x, algorithm=""fricas"")","\frac{1}{22} x^{22} b^{10} + \frac{10}{21} x^{21} b^{9} a + \frac{9}{4} x^{20} b^{8} a^{2} + \frac{120}{19} x^{19} b^{7} a^{3} + \frac{35}{3} x^{18} b^{6} a^{4} + \frac{252}{17} x^{17} b^{5} a^{5} + \frac{105}{8} x^{16} b^{4} a^{6} + 8 x^{15} b^{3} a^{7} + \frac{45}{14} x^{14} b^{2} a^{8} + \frac{10}{13} x^{13} b a^{9} + \frac{1}{12} x^{12} a^{10}"," ",0,"1/22*x^22*b^10 + 10/21*x^21*b^9*a + 9/4*x^20*b^8*a^2 + 120/19*x^19*b^7*a^3 + 35/3*x^18*b^6*a^4 + 252/17*x^17*b^5*a^5 + 105/8*x^16*b^4*a^6 + 8*x^15*b^3*a^7 + 45/14*x^14*b^2*a^8 + 10/13*x^13*b*a^9 + 1/12*x^12*a^10","A",0
124,1,112,0,1.051757," ","integrate(x^10*(b*x+a)^10,x, algorithm=""fricas"")","\frac{1}{21} x^{21} b^{10} + \frac{1}{2} x^{20} b^{9} a + \frac{45}{19} x^{19} b^{8} a^{2} + \frac{20}{3} x^{18} b^{7} a^{3} + \frac{210}{17} x^{17} b^{6} a^{4} + \frac{63}{4} x^{16} b^{5} a^{5} + 14 x^{15} b^{4} a^{6} + \frac{60}{7} x^{14} b^{3} a^{7} + \frac{45}{13} x^{13} b^{2} a^{8} + \frac{5}{6} x^{12} b a^{9} + \frac{1}{11} x^{11} a^{10}"," ",0,"1/21*x^21*b^10 + 1/2*x^20*b^9*a + 45/19*x^19*b^8*a^2 + 20/3*x^18*b^7*a^3 + 210/17*x^17*b^6*a^4 + 63/4*x^16*b^5*a^5 + 14*x^15*b^4*a^6 + 60/7*x^14*b^3*a^7 + 45/13*x^13*b^2*a^8 + 5/6*x^12*b*a^9 + 1/11*x^11*a^10","A",0
125,1,112,0,0.740476," ","integrate(x^9*(b*x+a)^10,x, algorithm=""fricas"")","\frac{1}{20} x^{20} b^{10} + \frac{10}{19} x^{19} b^{9} a + \frac{5}{2} x^{18} b^{8} a^{2} + \frac{120}{17} x^{17} b^{7} a^{3} + \frac{105}{8} x^{16} b^{6} a^{4} + \frac{84}{5} x^{15} b^{5} a^{5} + 15 x^{14} b^{4} a^{6} + \frac{120}{13} x^{13} b^{3} a^{7} + \frac{15}{4} x^{12} b^{2} a^{8} + \frac{10}{11} x^{11} b a^{9} + \frac{1}{10} x^{10} a^{10}"," ",0,"1/20*x^20*b^10 + 10/19*x^19*b^9*a + 5/2*x^18*b^8*a^2 + 120/17*x^17*b^7*a^3 + 105/8*x^16*b^6*a^4 + 84/5*x^15*b^5*a^5 + 15*x^14*b^4*a^6 + 120/13*x^13*b^3*a^7 + 15/4*x^12*b^2*a^8 + 10/11*x^11*b*a^9 + 1/10*x^10*a^10","A",0
126,1,111,0,1.086852," ","integrate(x^8*(b*x+a)^10,x, algorithm=""fricas"")","\frac{1}{19} x^{19} b^{10} + \frac{5}{9} x^{18} b^{9} a + \frac{45}{17} x^{17} b^{8} a^{2} + \frac{15}{2} x^{16} b^{7} a^{3} + 14 x^{15} b^{6} a^{4} + 18 x^{14} b^{5} a^{5} + \frac{210}{13} x^{13} b^{4} a^{6} + 10 x^{12} b^{3} a^{7} + \frac{45}{11} x^{11} b^{2} a^{8} + x^{10} b a^{9} + \frac{1}{9} x^{9} a^{10}"," ",0,"1/19*x^19*b^10 + 5/9*x^18*b^9*a + 45/17*x^17*b^8*a^2 + 15/2*x^16*b^7*a^3 + 14*x^15*b^6*a^4 + 18*x^14*b^5*a^5 + 210/13*x^13*b^4*a^6 + 10*x^12*b^3*a^7 + 45/11*x^11*b^2*a^8 + x^10*b*a^9 + 1/9*x^9*a^10","A",0
127,1,112,0,1.073643," ","integrate(x^7*(b*x+a)^10,x, algorithm=""fricas"")","\frac{1}{18} x^{18} b^{10} + \frac{10}{17} x^{17} b^{9} a + \frac{45}{16} x^{16} b^{8} a^{2} + 8 x^{15} b^{7} a^{3} + 15 x^{14} b^{6} a^{4} + \frac{252}{13} x^{13} b^{5} a^{5} + \frac{35}{2} x^{12} b^{4} a^{6} + \frac{120}{11} x^{11} b^{3} a^{7} + \frac{9}{2} x^{10} b^{2} a^{8} + \frac{10}{9} x^{9} b a^{9} + \frac{1}{8} x^{8} a^{10}"," ",0,"1/18*x^18*b^10 + 10/17*x^17*b^9*a + 45/16*x^16*b^8*a^2 + 8*x^15*b^7*a^3 + 15*x^14*b^6*a^4 + 252/13*x^13*b^5*a^5 + 35/2*x^12*b^4*a^6 + 120/11*x^11*b^3*a^7 + 9/2*x^10*b^2*a^8 + 10/9*x^9*b*a^9 + 1/8*x^8*a^10","A",0
128,1,112,0,0.972914," ","integrate(x^6*(b*x+a)^10,x, algorithm=""fricas"")","\frac{1}{17} x^{17} b^{10} + \frac{5}{8} x^{16} b^{9} a + 3 x^{15} b^{8} a^{2} + \frac{60}{7} x^{14} b^{7} a^{3} + \frac{210}{13} x^{13} b^{6} a^{4} + 21 x^{12} b^{5} a^{5} + \frac{210}{11} x^{11} b^{4} a^{6} + 12 x^{10} b^{3} a^{7} + 5 x^{9} b^{2} a^{8} + \frac{5}{4} x^{8} b a^{9} + \frac{1}{7} x^{7} a^{10}"," ",0,"1/17*x^17*b^10 + 5/8*x^16*b^9*a + 3*x^15*b^8*a^2 + 60/7*x^14*b^7*a^3 + 210/13*x^13*b^6*a^4 + 21*x^12*b^5*a^5 + 210/11*x^11*b^4*a^6 + 12*x^10*b^3*a^7 + 5*x^9*b^2*a^8 + 5/4*x^8*b*a^9 + 1/7*x^7*a^10","A",0
129,1,112,0,0.717158," ","integrate(x^5*(b*x+a)^10,x, algorithm=""fricas"")","\frac{1}{16} x^{16} b^{10} + \frac{2}{3} x^{15} b^{9} a + \frac{45}{14} x^{14} b^{8} a^{2} + \frac{120}{13} x^{13} b^{7} a^{3} + \frac{35}{2} x^{12} b^{6} a^{4} + \frac{252}{11} x^{11} b^{5} a^{5} + 21 x^{10} b^{4} a^{6} + \frac{40}{3} x^{9} b^{3} a^{7} + \frac{45}{8} x^{8} b^{2} a^{8} + \frac{10}{7} x^{7} b a^{9} + \frac{1}{6} x^{6} a^{10}"," ",0,"1/16*x^16*b^10 + 2/3*x^15*b^9*a + 45/14*x^14*b^8*a^2 + 120/13*x^13*b^7*a^3 + 35/2*x^12*b^6*a^4 + 252/11*x^11*b^5*a^5 + 21*x^10*b^4*a^6 + 40/3*x^9*b^3*a^7 + 45/8*x^8*b^2*a^8 + 10/7*x^7*b*a^9 + 1/6*x^6*a^10","A",0
130,1,112,0,1.216635," ","integrate(x^4*(b*x+a)^10,x, algorithm=""fricas"")","\frac{1}{15} x^{15} b^{10} + \frac{5}{7} x^{14} b^{9} a + \frac{45}{13} x^{13} b^{8} a^{2} + 10 x^{12} b^{7} a^{3} + \frac{210}{11} x^{11} b^{6} a^{4} + \frac{126}{5} x^{10} b^{5} a^{5} + \frac{70}{3} x^{9} b^{4} a^{6} + 15 x^{8} b^{3} a^{7} + \frac{45}{7} x^{7} b^{2} a^{8} + \frac{5}{3} x^{6} b a^{9} + \frac{1}{5} x^{5} a^{10}"," ",0,"1/15*x^15*b^10 + 5/7*x^14*b^9*a + 45/13*x^13*b^8*a^2 + 10*x^12*b^7*a^3 + 210/11*x^11*b^6*a^4 + 126/5*x^10*b^5*a^5 + 70/3*x^9*b^4*a^6 + 15*x^8*b^3*a^7 + 45/7*x^7*b^2*a^8 + 5/3*x^6*b*a^9 + 1/5*x^5*a^10","A",0
131,1,112,0,1.135250," ","integrate(x^3*(b*x+a)^10,x, algorithm=""fricas"")","\frac{1}{14} x^{14} b^{10} + \frac{10}{13} x^{13} b^{9} a + \frac{15}{4} x^{12} b^{8} a^{2} + \frac{120}{11} x^{11} b^{7} a^{3} + 21 x^{10} b^{6} a^{4} + 28 x^{9} b^{5} a^{5} + \frac{105}{4} x^{8} b^{4} a^{6} + \frac{120}{7} x^{7} b^{3} a^{7} + \frac{15}{2} x^{6} b^{2} a^{8} + 2 x^{5} b a^{9} + \frac{1}{4} x^{4} a^{10}"," ",0,"1/14*x^14*b^10 + 10/13*x^13*b^9*a + 15/4*x^12*b^8*a^2 + 120/11*x^11*b^7*a^3 + 21*x^10*b^6*a^4 + 28*x^9*b^5*a^5 + 105/4*x^8*b^4*a^6 + 120/7*x^7*b^3*a^7 + 15/2*x^6*b^2*a^8 + 2*x^5*b*a^9 + 1/4*x^4*a^10","A",0
132,1,112,0,1.119563," ","integrate(x^2*(b*x+a)^10,x, algorithm=""fricas"")","\frac{1}{13} x^{13} b^{10} + \frac{5}{6} x^{12} b^{9} a + \frac{45}{11} x^{11} b^{8} a^{2} + 12 x^{10} b^{7} a^{3} + \frac{70}{3} x^{9} b^{6} a^{4} + \frac{63}{2} x^{8} b^{5} a^{5} + 30 x^{7} b^{4} a^{6} + 20 x^{6} b^{3} a^{7} + 9 x^{5} b^{2} a^{8} + \frac{5}{2} x^{4} b a^{9} + \frac{1}{3} x^{3} a^{10}"," ",0,"1/13*x^13*b^10 + 5/6*x^12*b^9*a + 45/11*x^11*b^8*a^2 + 12*x^10*b^7*a^3 + 70/3*x^9*b^6*a^4 + 63/2*x^8*b^5*a^5 + 30*x^7*b^4*a^6 + 20*x^6*b^3*a^7 + 9*x^5*b^2*a^8 + 5/2*x^4*b*a^9 + 1/3*x^3*a^10","B",0
133,1,112,0,1.009276," ","integrate(x*(b*x+a)^10,x, algorithm=""fricas"")","\frac{1}{12} x^{12} b^{10} + \frac{10}{11} x^{11} b^{9} a + \frac{9}{2} x^{10} b^{8} a^{2} + \frac{40}{3} x^{9} b^{7} a^{3} + \frac{105}{4} x^{8} b^{6} a^{4} + 36 x^{7} b^{5} a^{5} + 35 x^{6} b^{4} a^{6} + 24 x^{5} b^{3} a^{7} + \frac{45}{4} x^{4} b^{2} a^{8} + \frac{10}{3} x^{3} b a^{9} + \frac{1}{2} x^{2} a^{10}"," ",0,"1/12*x^12*b^10 + 10/11*x^11*b^9*a + 9/2*x^10*b^8*a^2 + 40/3*x^9*b^7*a^3 + 105/4*x^8*b^6*a^4 + 36*x^7*b^5*a^5 + 35*x^6*b^4*a^6 + 24*x^5*b^3*a^7 + 45/4*x^4*b^2*a^8 + 10/3*x^3*b*a^9 + 1/2*x^2*a^10","B",0
134,1,108,0,1.257865," ","integrate((b*x+a)^10,x, algorithm=""fricas"")","\frac{1}{11} x^{11} b^{10} + x^{10} b^{9} a + 5 x^{9} b^{8} a^{2} + 15 x^{8} b^{7} a^{3} + 30 x^{7} b^{6} a^{4} + 42 x^{6} b^{5} a^{5} + 42 x^{5} b^{4} a^{6} + 30 x^{4} b^{3} a^{7} + 15 x^{3} b^{2} a^{8} + 5 x^{2} b a^{9} + x a^{10}"," ",0,"1/11*x^11*b^10 + x^10*b^9*a + 5*x^9*b^8*a^2 + 15*x^8*b^7*a^3 + 30*x^7*b^6*a^4 + 42*x^6*b^5*a^5 + 42*x^5*b^4*a^6 + 30*x^4*b^3*a^7 + 15*x^3*b^2*a^8 + 5*x^2*b*a^9 + x*a^10","B",0
135,1,108,0,1.556993," ","integrate((b*x+a)^10/x,x, algorithm=""fricas"")","\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
136,1,114,0,0.839328," ","integrate((b*x+a)^10/x^2,x, algorithm=""fricas"")","\frac{28 \, b^{10} x^{10} + 315 \, a b^{9} x^{9} + 1620 \, a^{2} b^{8} x^{8} + 5040 \, a^{3} b^{7} x^{7} + 10584 \, a^{4} b^{6} x^{6} + 15876 \, a^{5} b^{5} x^{5} + 17640 \, a^{6} b^{4} x^{4} + 15120 \, a^{7} b^{3} x^{3} + 11340 \, a^{8} b^{2} x^{2} + 2520 \, a^{9} b x \log\left(x\right) - 252 \, a^{10}}{252 \, x}"," ",0,"1/252*(28*b^10*x^10 + 315*a*b^9*x^9 + 1620*a^2*b^8*x^8 + 5040*a^3*b^7*x^7 + 10584*a^4*b^6*x^6 + 15876*a^5*b^5*x^5 + 17640*a^6*b^4*x^4 + 15120*a^7*b^3*x^3 + 11340*a^8*b^2*x^2 + 2520*a^9*b*x*log(x) - 252*a^10)/x","A",0
137,1,114,0,1.413557," ","integrate((b*x+a)^10/x^3,x, algorithm=""fricas"")","\frac{7 \, b^{10} x^{10} + 80 \, a b^{9} x^{9} + 420 \, a^{2} b^{8} x^{8} + 1344 \, a^{3} b^{7} x^{7} + 2940 \, a^{4} b^{6} x^{6} + 4704 \, a^{5} b^{5} x^{5} + 5880 \, a^{6} b^{4} x^{4} + 6720 \, a^{7} b^{3} x^{3} + 2520 \, a^{8} b^{2} x^{2} \log\left(x\right) - 560 \, a^{9} b x - 28 \, a^{10}}{56 \, x^{2}}"," ",0,"1/56*(7*b^10*x^10 + 80*a*b^9*x^9 + 420*a^2*b^8*x^8 + 1344*a^3*b^7*x^7 + 2940*a^4*b^6*x^6 + 4704*a^5*b^5*x^5 + 5880*a^6*b^4*x^4 + 6720*a^7*b^3*x^3 + 2520*a^8*b^2*x^2*log(x) - 560*a^9*b*x - 28*a^10)/x^2","A",0
138,1,114,0,1.134187," ","integrate((b*x+a)^10/x^4,x, algorithm=""fricas"")","\frac{3 \, b^{10} x^{10} + 35 \, a b^{9} x^{9} + 189 \, a^{2} b^{8} x^{8} + 630 \, a^{3} b^{7} x^{7} + 1470 \, a^{4} b^{6} x^{6} + 2646 \, a^{5} b^{5} x^{5} + 4410 \, a^{6} b^{4} x^{4} + 2520 \, a^{7} b^{3} x^{3} \log\left(x\right) - 945 \, a^{8} b^{2} x^{2} - 105 \, a^{9} b x - 7 \, a^{10}}{21 \, x^{3}}"," ",0,"1/21*(3*b^10*x^10 + 35*a*b^9*x^9 + 189*a^2*b^8*x^8 + 630*a^3*b^7*x^7 + 1470*a^4*b^6*x^6 + 2646*a^5*b^5*x^5 + 4410*a^6*b^4*x^4 + 2520*a^7*b^3*x^3*log(x) - 945*a^8*b^2*x^2 - 105*a^9*b*x - 7*a^10)/x^3","A",0
139,1,114,0,1.564989," ","integrate((b*x+a)^10/x^5,x, algorithm=""fricas"")","\frac{2 \, b^{10} x^{10} + 24 \, a b^{9} x^{9} + 135 \, a^{2} b^{8} x^{8} + 480 \, a^{3} b^{7} x^{7} + 1260 \, a^{4} b^{6} x^{6} + 3024 \, a^{5} b^{5} x^{5} + 2520 \, a^{6} b^{4} x^{4} \log\left(x\right) - 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,"1/12*(2*b^10*x^10 + 24*a*b^9*x^9 + 135*a^2*b^8*x^8 + 480*a^3*b^7*x^7 + 1260*a^4*b^6*x^6 + 3024*a^5*b^5*x^5 + 2520*a^6*b^4*x^4*log(x) - 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
140,1,114,0,1.312509," ","integrate((b*x+a)^10/x^6,x, algorithm=""fricas"")","\frac{2 \, b^{10} x^{10} + 25 \, a b^{9} x^{9} + 150 \, a^{2} b^{8} x^{8} + 600 \, a^{3} b^{7} x^{7} + 2100 \, a^{4} b^{6} x^{6} + 2520 \, a^{5} b^{5} x^{5} \log\left(x\right) - 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,"1/10*(2*b^10*x^10 + 25*a*b^9*x^9 + 150*a^2*b^8*x^8 + 600*a^3*b^7*x^7 + 2100*a^4*b^6*x^6 + 2520*a^5*b^5*x^5*log(x) - 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
141,1,114,0,1.200635," ","integrate((b*x+a)^10/x^7,x, algorithm=""fricas"")","\frac{3 \, b^{10} x^{10} + 40 \, a b^{9} x^{9} + 270 \, a^{2} b^{8} x^{8} + 1440 \, a^{3} b^{7} x^{7} + 2520 \, a^{4} b^{6} x^{6} \log\left(x\right) - 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,"1/12*(3*b^10*x^10 + 40*a*b^9*x^9 + 270*a^2*b^8*x^8 + 1440*a^3*b^7*x^7 + 2520*a^4*b^6*x^6*log(x) - 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
142,1,114,0,1.307515," ","integrate((b*x+a)^10/x^8,x, algorithm=""fricas"")","\frac{7 \, b^{10} x^{10} + 105 \, a b^{9} x^{9} + 945 \, a^{2} b^{8} x^{8} + 2520 \, a^{3} b^{7} x^{7} \log\left(x\right) - 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,"1/21*(7*b^10*x^10 + 105*a*b^9*x^9 + 945*a^2*b^8*x^8 + 2520*a^3*b^7*x^7*log(x) - 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
143,1,114,0,1.143216," ","integrate((b*x+a)^10/x^9,x, algorithm=""fricas"")","\frac{28 \, b^{10} x^{10} + 560 \, a b^{9} x^{9} + 2520 \, a^{2} b^{8} x^{8} \log\left(x\right) - 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,"1/56*(28*b^10*x^10 + 560*a*b^9*x^9 + 2520*a^2*b^8*x^8*log(x) - 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
144,1,114,0,1.208489," ","integrate((b*x+a)^10/x^10,x, algorithm=""fricas"")","\frac{252 \, b^{10} x^{10} + 2520 \, a b^{9} x^{9} \log\left(x\right) - 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,"1/252*(252*b^10*x^10 + 2520*a*b^9*x^9*log(x) - 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
145,1,114,0,1.425205," ","integrate((b*x+a)^10/x^11,x, algorithm=""fricas"")","\frac{2520 \, b^{10} x^{10} \log\left(x\right) - 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,"1/2520*(2520*b^10*x^10*log(x) - 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
146,1,110,0,1.264804," ","integrate((b*x+a)^10/x^12,x, algorithm=""fricas"")","-\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
147,1,112,0,1.335197," ","integrate((b*x+a)^10/x^13,x, algorithm=""fricas"")","-\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
148,1,112,0,1.391677," ","integrate((b*x+a)^10/x^14,x, algorithm=""fricas"")","-\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
149,1,112,0,1.286484," ","integrate((b*x+a)^10/x^15,x, algorithm=""fricas"")","-\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
150,1,112,0,1.339233," ","integrate((b*x+a)^10/x^16,x, algorithm=""fricas"")","-\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
151,1,112,0,0.768583," ","integrate((b*x+a)^10/x^17,x, algorithm=""fricas"")","-\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
152,1,112,0,1.139225," ","integrate((b*x+a)^10/x^18,x, algorithm=""fricas"")","-\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
153,1,112,0,0.764748," ","integrate((b*x+a)^10/x^19,x, algorithm=""fricas"")","-\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
154,1,112,0,1.341838," ","integrate((b*x+a)^10/x^20,x, algorithm=""fricas"")","-\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
155,1,12,0,1.486259," ","integrate(c*(b*x+a),x, algorithm=""fricas"")","\frac{1}{2} x^{2} c b + x c a"," ",0,"1/2*x^2*c*b + x*c*a","A",0
156,1,27,0,2.365659," ","integrate((c+d)*(b*x+a)/e,x, algorithm=""fricas"")","\frac{{\left(b c + b d\right)} x^{2} + 2 \, {\left(a c + a d\right)} x}{2 \, e}"," ",0,"1/2*((b*c + b*d)*x^2 + 2*(a*c + a*d)*x)/e","A",0
157,1,63,0,1.218647," ","integrate(x^5/(b*x+a),x, algorithm=""fricas"")","\frac{12 \, b^{5} x^{5} - 15 \, a b^{4} x^{4} + 20 \, a^{2} b^{3} x^{3} - 30 \, a^{3} b^{2} x^{2} + 60 \, a^{4} b x - 60 \, a^{5} \log\left(b x + a\right)}{60 \, b^{6}}"," ",0,"1/60*(12*b^5*x^5 - 15*a*b^4*x^4 + 20*a^2*b^3*x^3 - 30*a^3*b^2*x^2 + 60*a^4*b*x - 60*a^5*log(b*x + a))/b^6","A",0
158,1,52,0,1.211417," ","integrate(x^4/(b*x+a),x, algorithm=""fricas"")","\frac{3 \, b^{4} x^{4} - 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} - 12 \, a^{3} b x + 12 \, a^{4} \log\left(b x + a\right)}{12 \, b^{5}}"," ",0,"1/12*(3*b^4*x^4 - 4*a*b^3*x^3 + 6*a^2*b^2*x^2 - 12*a^3*b*x + 12*a^4*log(b*x + a))/b^5","A",0
159,1,41,0,1.168396," ","integrate(x^3/(b*x+a),x, algorithm=""fricas"")","\frac{2 \, b^{3} x^{3} - 3 \, a b^{2} x^{2} + 6 \, a^{2} b x - 6 \, a^{3} \log\left(b x + a\right)}{6 \, b^{4}}"," ",0,"1/6*(2*b^3*x^3 - 3*a*b^2*x^2 + 6*a^2*b*x - 6*a^3*log(b*x + a))/b^4","A",0
160,1,29,0,1.281775," ","integrate(x^2/(b*x+a),x, algorithm=""fricas"")","\frac{b^{2} x^{2} - 2 \, a b x + 2 \, a^{2} \log\left(b x + a\right)}{2 \, b^{3}}"," ",0,"1/2*(b^2*x^2 - 2*a*b*x + 2*a^2*log(b*x + a))/b^3","A",0
161,1,17,0,1.142977," ","integrate(x/(b*x+a),x, algorithm=""fricas"")","\frac{b x - a \log\left(b x + a\right)}{b^{2}}"," ",0,"(b*x - a*log(b*x + a))/b^2","A",0
162,1,10,0,1.414490," ","integrate(1/(b*x+a),x, algorithm=""fricas"")","\frac{\log\left(b x + a\right)}{b}"," ",0,"log(b*x + a)/b","A",0
163,1,16,0,1.245748," ","integrate(1/x/(b*x+a),x, algorithm=""fricas"")","-\frac{\log\left(b x + a\right) - \log\left(x\right)}{a}"," ",0,"-(log(b*x + a) - log(x))/a","A",0
164,1,26,0,1.397242," ","integrate(1/x^2/(b*x+a),x, algorithm=""fricas"")","\frac{b x \log\left(b x + a\right) - b x \log\left(x\right) - a}{a^{2} x}"," ",0,"(b*x*log(b*x + a) - b*x*log(x) - a)/(a^2*x)","A",0
165,1,41,0,1.301344," ","integrate(1/x^3/(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, b^{2} x^{2} \log\left(b x + a\right) - 2 \, b^{2} x^{2} \log\left(x\right) - 2 \, a b x + a^{2}}{2 \, a^{3} x^{2}}"," ",0,"-1/2*(2*b^2*x^2*log(b*x + a) - 2*b^2*x^2*log(x) - 2*a*b*x + a^2)/(a^3*x^2)","A",0
166,1,54,0,1.220332," ","integrate(1/x^4/(b*x+a),x, algorithm=""fricas"")","\frac{6 \, b^{3} x^{3} \log\left(b x + a\right) - 6 \, b^{3} x^{3} \log\left(x\right) - 6 \, a b^{2} x^{2} + 3 \, a^{2} b x - 2 \, a^{3}}{6 \, a^{4} x^{3}}"," ",0,"1/6*(6*b^3*x^3*log(b*x + a) - 6*b^3*x^3*log(x) - 6*a*b^2*x^2 + 3*a^2*b*x - 2*a^3)/(a^4*x^3)","A",0
167,1,65,0,1.221463," ","integrate(1/x^5/(b*x+a),x, algorithm=""fricas"")","-\frac{12 \, b^{4} x^{4} \log\left(b x + a\right) - 12 \, b^{4} x^{4} \log\left(x\right) - 12 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} - 4 \, a^{3} b x + 3 \, a^{4}}{12 \, a^{5} x^{4}}"," ",0,"-1/12*(12*b^4*x^4*log(b*x + a) - 12*b^4*x^4*log(x) - 12*a*b^3*x^3 + 6*a^2*b^2*x^2 - 4*a^3*b*x + 3*a^4)/(a^5*x^4)","A",0
168,1,96,0,1.309533," ","integrate(x^6/(b*x+a)^2,x, algorithm=""fricas"")","\frac{2 \, b^{6} x^{6} - 3 \, a b^{5} x^{5} + 5 \, a^{2} b^{4} x^{4} - 10 \, a^{3} b^{3} x^{3} + 30 \, a^{4} b^{2} x^{2} + 50 \, a^{5} b x - 10 \, a^{6} - 60 \, {\left(a^{5} b x + a^{6}\right)} \log\left(b x + a\right)}{10 \, {\left(b^{8} x + a b^{7}\right)}}"," ",0,"1/10*(2*b^6*x^6 - 3*a*b^5*x^5 + 5*a^2*b^4*x^4 - 10*a^3*b^3*x^3 + 30*a^4*b^2*x^2 + 50*a^5*b*x - 10*a^6 - 60*(a^5*b*x + a^6)*log(b*x + a))/(b^8*x + a*b^7)","A",0
169,1,85,0,1.171422," ","integrate(x^5/(b*x+a)^2,x, algorithm=""fricas"")","\frac{3 \, b^{5} x^{5} - 5 \, a b^{4} x^{4} + 10 \, a^{2} b^{3} x^{3} - 30 \, a^{3} b^{2} x^{2} - 48 \, a^{4} b x + 12 \, a^{5} + 60 \, {\left(a^{4} b x + a^{5}\right)} \log\left(b x + a\right)}{12 \, {\left(b^{7} x + a b^{6}\right)}}"," ",0,"1/12*(3*b^5*x^5 - 5*a*b^4*x^4 + 10*a^2*b^3*x^3 - 30*a^3*b^2*x^2 - 48*a^4*b*x + 12*a^5 + 60*(a^4*b*x + a^5)*log(b*x + a))/(b^7*x + a*b^6)","A",0
170,1,73,0,1.204869," ","integrate(x^4/(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{4} x^{4} - 2 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 9 \, a^{3} b x - 3 \, a^{4} - 12 \, {\left(a^{3} b x + a^{4}\right)} \log\left(b x + a\right)}{3 \, {\left(b^{6} x + a b^{5}\right)}}"," ",0,"1/3*(b^4*x^4 - 2*a*b^3*x^3 + 6*a^2*b^2*x^2 + 9*a^3*b*x - 3*a^4 - 12*(a^3*b*x + a^4)*log(b*x + a))/(b^6*x + a*b^5)","A",0
171,1,62,0,1.215997," ","integrate(x^3/(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{3} x^{3} - 3 \, a b^{2} x^{2} - 4 \, a^{2} b x + 2 \, a^{3} + 6 \, {\left(a^{2} b x + a^{3}\right)} \log\left(b x + a\right)}{2 \, {\left(b^{5} x + a b^{4}\right)}}"," ",0,"1/2*(b^3*x^3 - 3*a*b^2*x^2 - 4*a^2*b*x + 2*a^3 + 6*(a^2*b*x + a^3)*log(b*x + a))/(b^5*x + a*b^4)","A",0
172,1,47,0,1.277136," ","integrate(x^2/(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{2} x^{2} + a b x - a^{2} - 2 \, {\left(a b x + a^{2}\right)} \log\left(b x + a\right)}{b^{4} x + a b^{3}}"," ",0,"(b^2*x^2 + a*b*x - a^2 - 2*(a*b*x + a^2)*log(b*x + a))/(b^4*x + a*b^3)","A",0
173,1,28,0,1.217780," ","integrate(x/(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \log\left(b x + a\right) + a}{b^{3} x + a b^{2}}"," ",0,"((b*x + a)*log(b*x + a) + a)/(b^3*x + a*b^2)","A",0
174,1,13,0,1.177197," ","integrate(1/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{1}{b^{2} x + a b}"," ",0,"-1/(b^2*x + a*b)","A",0
175,1,39,0,1.284633," ","integrate(1/x/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{{\left(b x + a\right)} \log\left(b x + a\right) - {\left(b x + a\right)} \log\left(x\right) - a}{a^{2} b x + a^{3}}"," ",0,"-((b*x + a)*log(b*x + a) - (b*x + a)*log(x) - a)/(a^2*b*x + a^3)","A",0
176,1,63,0,1.108156," ","integrate(1/x^2/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, a b x + a^{2} - 2 \, {\left(b^{2} x^{2} + a b x\right)} \log\left(b x + a\right) + 2 \, {\left(b^{2} x^{2} + a b x\right)} \log\left(x\right)}{a^{3} b x^{2} + a^{4} x}"," ",0,"-(2*a*b*x + a^2 - 2*(b^2*x^2 + a*b*x)*log(b*x + a) + 2*(b^2*x^2 + a*b*x)*log(x))/(a^3*b*x^2 + a^4*x)","A",0
177,1,86,0,0.554270," ","integrate(1/x^3/(b*x+a)^2,x, algorithm=""fricas"")","\frac{6 \, a b^{2} x^{2} + 3 \, a^{2} b x - a^{3} - 6 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} \log\left(b x + a\right) + 6 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} \log\left(x\right)}{2 \, {\left(a^{4} b x^{3} + a^{5} x^{2}\right)}}"," ",0,"1/2*(6*a*b^2*x^2 + 3*a^2*b*x - a^3 - 6*(b^3*x^3 + a*b^2*x^2)*log(b*x + a) + 6*(b^3*x^3 + a*b^2*x^2)*log(x))/(a^4*b*x^3 + a^5*x^2)","A",0
178,1,95,0,0.933404," ","integrate(1/x^4/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{12 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} - 2 \, a^{3} b x + a^{4} - 12 \, {\left(b^{4} x^{4} + a b^{3} x^{3}\right)} \log\left(b x + a\right) + 12 \, {\left(b^{4} x^{4} + a b^{3} x^{3}\right)} \log\left(x\right)}{3 \, {\left(a^{5} b x^{4} + a^{6} x^{3}\right)}}"," ",0,"-1/3*(12*a*b^3*x^3 + 6*a^2*b^2*x^2 - 2*a^3*b*x + a^4 - 12*(b^4*x^4 + a*b^3*x^3)*log(b*x + a) + 12*(b^4*x^4 + a*b^3*x^3)*log(x))/(a^5*b*x^4 + a^6*x^3)","A",0
179,1,108,0,1.178570," ","integrate(1/x^5/(b*x+a)^2,x, algorithm=""fricas"")","\frac{60 \, a b^{4} x^{4} + 30 \, a^{2} b^{3} x^{3} - 10 \, a^{3} b^{2} x^{2} + 5 \, a^{4} b x - 3 \, a^{5} - 60 \, {\left(b^{5} x^{5} + a b^{4} x^{4}\right)} \log\left(b x + a\right) + 60 \, {\left(b^{5} x^{5} + a b^{4} x^{4}\right)} \log\left(x\right)}{12 \, {\left(a^{6} b x^{5} + a^{7} x^{4}\right)}}"," ",0,"1/12*(60*a*b^4*x^4 + 30*a^2*b^3*x^3 - 10*a^3*b^2*x^2 + 5*a^4*b*x - 3*a^5 - 60*(b^5*x^5 + a*b^4*x^4)*log(b*x + a) + 60*(b^5*x^5 + a*b^4*x^4)*log(x))/(a^6*b*x^5 + a^7*x^4)","A",0
180,1,129,0,1.037687," ","integrate(x^7/(b*x+a)^3,x, algorithm=""fricas"")","\frac{4 \, b^{7} x^{7} - 7 \, a b^{6} x^{6} + 14 \, a^{2} b^{5} x^{5} - 35 \, a^{3} b^{4} x^{4} + 140 \, a^{4} b^{3} x^{3} + 500 \, a^{5} b^{2} x^{2} + 160 \, a^{6} b x - 130 \, a^{7} - 420 \, {\left(a^{5} b^{2} x^{2} + 2 \, a^{6} b x + a^{7}\right)} \log\left(b x + a\right)}{20 \, {\left(b^{10} x^{2} + 2 \, a b^{9} x + a^{2} b^{8}\right)}}"," ",0,"1/20*(4*b^7*x^7 - 7*a*b^6*x^6 + 14*a^2*b^5*x^5 - 35*a^3*b^4*x^4 + 140*a^4*b^3*x^3 + 500*a^5*b^2*x^2 + 160*a^6*b*x - 130*a^7 - 420*(a^5*b^2*x^2 + 2*a^6*b*x + a^7)*log(b*x + a))/(b^10*x^2 + 2*a*b^9*x + a^2*b^8)","A",0
181,1,117,0,1.111873," ","integrate(x^6/(b*x+a)^3,x, algorithm=""fricas"")","\frac{b^{6} x^{6} - 2 \, a b^{5} x^{5} + 5 \, a^{2} b^{4} x^{4} - 20 \, a^{3} b^{3} x^{3} - 68 \, a^{4} b^{2} x^{2} - 16 \, a^{5} b x + 22 \, a^{6} + 60 \, {\left(a^{4} b^{2} x^{2} + 2 \, a^{5} b x + a^{6}\right)} \log\left(b x + a\right)}{4 \, {\left(b^{9} x^{2} + 2 \, a b^{8} x + a^{2} b^{7}\right)}}"," ",0,"1/4*(b^6*x^6 - 2*a*b^5*x^5 + 5*a^2*b^4*x^4 - 20*a^3*b^3*x^3 - 68*a^4*b^2*x^2 - 16*a^5*b*x + 22*a^6 + 60*(a^4*b^2*x^2 + 2*a^5*b*x + a^6)*log(b*x + a))/(b^9*x^2 + 2*a*b^8*x + a^2*b^7)","A",0
182,1,107,0,1.116552," ","integrate(x^5/(b*x+a)^3,x, algorithm=""fricas"")","\frac{2 \, b^{5} x^{5} - 5 \, a b^{4} x^{4} + 20 \, a^{2} b^{3} x^{3} + 63 \, a^{3} b^{2} x^{2} + 6 \, a^{4} b x - 27 \, a^{5} - 60 \, {\left(a^{3} b^{2} x^{2} + 2 \, a^{4} b x + a^{5}\right)} \log\left(b x + a\right)}{6 \, {\left(b^{8} x^{2} + 2 \, a b^{7} x + a^{2} b^{6}\right)}}"," ",0,"1/6*(2*b^5*x^5 - 5*a*b^4*x^4 + 20*a^2*b^3*x^3 + 63*a^3*b^2*x^2 + 6*a^4*b*x - 27*a^5 - 60*(a^3*b^2*x^2 + 2*a^4*b*x + a^5)*log(b*x + a))/(b^8*x^2 + 2*a*b^7*x + a^2*b^6)","A",0
183,1,95,0,0.883765," ","integrate(x^4/(b*x+a)^3,x, algorithm=""fricas"")","\frac{b^{4} x^{4} - 4 \, a b^{3} x^{3} - 11 \, a^{2} b^{2} x^{2} + 2 \, a^{3} b x + 7 \, a^{4} + 12 \, {\left(a^{2} b^{2} x^{2} + 2 \, a^{3} b x + a^{4}\right)} \log\left(b x + a\right)}{2 \, {\left(b^{7} x^{2} + 2 \, a b^{6} x + a^{2} b^{5}\right)}}"," ",0,"1/2*(b^4*x^4 - 4*a*b^3*x^3 - 11*a^2*b^2*x^2 + 2*a^3*b*x + 7*a^4 + 12*(a^2*b^2*x^2 + 2*a^3*b*x + a^4)*log(b*x + a))/(b^7*x^2 + 2*a*b^6*x + a^2*b^5)","A",0
184,1,83,0,0.838104," ","integrate(x^3/(b*x+a)^3,x, algorithm=""fricas"")","\frac{2 \, b^{3} x^{3} + 4 \, a b^{2} x^{2} - 4 \, a^{2} b x - 5 \, a^{3} - 6 \, {\left(a b^{2} x^{2} + 2 \, a^{2} b x + a^{3}\right)} \log\left(b x + a\right)}{2 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}}"," ",0,"1/2*(2*b^3*x^3 + 4*a*b^2*x^2 - 4*a^2*b*x - 5*a^3 - 6*(a*b^2*x^2 + 2*a^2*b*x + a^3)*log(b*x + a))/(b^6*x^2 + 2*a*b^5*x + a^2*b^4)","A",0
185,1,61,0,0.654677," ","integrate(x^2/(b*x+a)^3,x, algorithm=""fricas"")","\frac{4 \, a b x + 3 \, a^{2} + 2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \log\left(b x + a\right)}{2 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}"," ",0,"1/2*(4*a*b*x + 3*a^2 + 2*(b^2*x^2 + 2*a*b*x + a^2)*log(b*x + a))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3)","A",0
186,1,32,0,1.208396," ","integrate(x/(b*x+a)^3,x, algorithm=""fricas"")","-\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
187,1,24,0,1.013194," ","integrate(1/(b*x+a)^3,x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b\right)}}"," ",0,"-1/2/(b^3*x^2 + 2*a*b^2*x + a^2*b)","A",0
188,1,80,0,0.868269," ","integrate(1/x/(b*x+a)^3,x, algorithm=""fricas"")","\frac{2 \, a b x + 3 \, a^{2} - 2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \log\left(b x + a\right) + 2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \log\left(x\right)}{2 \, {\left(a^{3} b^{2} x^{2} + 2 \, a^{4} b x + a^{5}\right)}}"," ",0,"1/2*(2*a*b*x + 3*a^2 - 2*(b^2*x^2 + 2*a*b*x + a^2)*log(b*x + a) + 2*(b^2*x^2 + 2*a*b*x + a^2)*log(x))/(a^3*b^2*x^2 + 2*a^4*b*x + a^5)","A",0
189,1,109,0,1.146057," ","integrate(1/x^2/(b*x+a)^3,x, algorithm=""fricas"")","-\frac{6 \, a b^{2} x^{2} + 9 \, a^{2} b x + 2 \, a^{3} - 6 \, {\left(b^{3} x^{3} + 2 \, a b^{2} x^{2} + a^{2} b x\right)} \log\left(b x + a\right) + 6 \, {\left(b^{3} x^{3} + 2 \, a b^{2} x^{2} + a^{2} b x\right)} \log\left(x\right)}{2 \, {\left(a^{4} b^{2} x^{3} + 2 \, a^{5} b x^{2} + a^{6} x\right)}}"," ",0,"-1/2*(6*a*b^2*x^2 + 9*a^2*b*x + 2*a^3 - 6*(b^3*x^3 + 2*a*b^2*x^2 + a^2*b*x)*log(b*x + a) + 6*(b^3*x^3 + 2*a*b^2*x^2 + a^2*b*x)*log(x))/(a^4*b^2*x^3 + 2*a^5*b*x^2 + a^6*x)","A",0
190,1,130,0,1.181978," ","integrate(1/x^3/(b*x+a)^3,x, algorithm=""fricas"")","\frac{12 \, a b^{3} x^{3} + 18 \, a^{2} b^{2} x^{2} + 4 \, a^{3} b x - a^{4} - 12 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{3} + a^{2} b^{2} x^{2}\right)} \log\left(b x + a\right) + 12 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{3} + a^{2} b^{2} x^{2}\right)} \log\left(x\right)}{2 \, {\left(a^{5} b^{2} x^{4} + 2 \, a^{6} b x^{3} + a^{7} x^{2}\right)}}"," ",0,"1/2*(12*a*b^3*x^3 + 18*a^2*b^2*x^2 + 4*a^3*b*x - a^4 - 12*(b^4*x^4 + 2*a*b^3*x^3 + a^2*b^2*x^2)*log(b*x + a) + 12*(b^4*x^4 + 2*a*b^3*x^3 + a^2*b^2*x^2)*log(x))/(a^5*b^2*x^4 + 2*a^6*b*x^3 + a^7*x^2)","A",0
191,1,141,0,1.096279," ","integrate(1/x^4/(b*x+a)^3,x, algorithm=""fricas"")","-\frac{60 \, a b^{4} x^{4} + 90 \, a^{2} b^{3} x^{3} + 20 \, a^{3} b^{2} x^{2} - 5 \, a^{4} b x + 2 \, a^{5} - 60 \, {\left(b^{5} x^{5} + 2 \, a b^{4} x^{4} + a^{2} b^{3} x^{3}\right)} \log\left(b x + a\right) + 60 \, {\left(b^{5} x^{5} + 2 \, a b^{4} x^{4} + a^{2} b^{3} x^{3}\right)} \log\left(x\right)}{6 \, {\left(a^{6} b^{2} x^{5} + 2 \, a^{7} b x^{4} + a^{8} x^{3}\right)}}"," ",0,"-1/6*(60*a*b^4*x^4 + 90*a^2*b^3*x^3 + 20*a^3*b^2*x^2 - 5*a^4*b*x + 2*a^5 - 60*(b^5*x^5 + 2*a*b^4*x^4 + a^2*b^3*x^3)*log(b*x + a) + 60*(b^5*x^5 + 2*a*b^4*x^4 + a^2*b^3*x^3)*log(x))/(a^6*b^2*x^5 + 2*a^7*b*x^4 + a^8*x^3)","A",0
192,1,152,0,0.946197," ","integrate(1/x^5/(b*x+a)^3,x, algorithm=""fricas"")","\frac{60 \, a b^{5} x^{5} + 90 \, a^{2} b^{4} x^{4} + 20 \, a^{3} b^{3} x^{3} - 5 \, a^{4} b^{2} x^{2} + 2 \, a^{5} b x - a^{6} - 60 \, {\left(b^{6} x^{6} + 2 \, a b^{5} x^{5} + a^{2} b^{4} x^{4}\right)} \log\left(b x + a\right) + 60 \, {\left(b^{6} x^{6} + 2 \, a b^{5} x^{5} + a^{2} b^{4} x^{4}\right)} \log\left(x\right)}{4 \, {\left(a^{7} b^{2} x^{6} + 2 \, a^{8} b x^{5} + a^{9} x^{4}\right)}}"," ",0,"1/4*(60*a*b^5*x^5 + 90*a^2*b^4*x^4 + 20*a^3*b^3*x^3 - 5*a^4*b^2*x^2 + 2*a^5*b*x - a^6 - 60*(b^6*x^6 + 2*a*b^5*x^5 + a^2*b^4*x^4)*log(b*x + a) + 60*(b^6*x^6 + 2*a*b^5*x^5 + a^2*b^4*x^4)*log(x))/(a^7*b^2*x^6 + 2*a^8*b*x^5 + a^9*x^4)","A",0
193,1,162,0,0.863459," ","integrate(x^8/(b*x+a)^4,x, algorithm=""fricas"")","\frac{3 \, b^{8} x^{8} - 6 \, a b^{7} x^{7} + 14 \, a^{2} b^{6} x^{6} - 42 \, a^{3} b^{5} x^{5} + 210 \, a^{4} b^{4} x^{4} + 1175 \, a^{5} b^{3} x^{3} + 1005 \, a^{6} b^{2} x^{2} - 255 \, a^{7} b x - 365 \, a^{8} - 840 \, {\left(a^{5} b^{3} x^{3} + 3 \, a^{6} b^{2} x^{2} + 3 \, a^{7} b x + a^{8}\right)} \log\left(b x + a\right)}{15 \, {\left(b^{12} x^{3} + 3 \, a b^{11} x^{2} + 3 \, a^{2} b^{10} x + a^{3} b^{9}\right)}}"," ",0,"1/15*(3*b^8*x^8 - 6*a*b^7*x^7 + 14*a^2*b^6*x^6 - 42*a^3*b^5*x^5 + 210*a^4*b^4*x^4 + 1175*a^5*b^3*x^3 + 1005*a^6*b^2*x^2 - 255*a^7*b*x - 365*a^8 - 840*(a^5*b^3*x^3 + 3*a^6*b^2*x^2 + 3*a^7*b*x + a^8)*log(b*x + a))/(b^12*x^3 + 3*a*b^11*x^2 + 3*a^2*b^10*x + a^3*b^9)","A",0
194,1,151,0,1.039827," ","integrate(x^7/(b*x+a)^4,x, algorithm=""fricas"")","\frac{3 \, b^{7} x^{7} - 7 \, a b^{6} x^{6} + 21 \, a^{2} b^{5} x^{5} - 105 \, a^{3} b^{4} x^{4} - 556 \, a^{4} b^{3} x^{3} - 408 \, a^{5} b^{2} x^{2} + 222 \, a^{6} b x + 214 \, a^{7} + 420 \, {\left(a^{4} b^{3} x^{3} + 3 \, a^{5} b^{2} x^{2} + 3 \, a^{6} b x + a^{7}\right)} \log\left(b x + a\right)}{12 \, {\left(b^{11} x^{3} + 3 \, a b^{10} x^{2} + 3 \, a^{2} b^{9} x + a^{3} b^{8}\right)}}"," ",0,"1/12*(3*b^7*x^7 - 7*a*b^6*x^6 + 21*a^2*b^5*x^5 - 105*a^3*b^4*x^4 - 556*a^4*b^3*x^3 - 408*a^5*b^2*x^2 + 222*a^6*b*x + 214*a^7 + 420*(a^4*b^3*x^3 + 3*a^5*b^2*x^2 + 3*a^6*b*x + a^7)*log(b*x + a))/(b^11*x^3 + 3*a*b^10*x^2 + 3*a^2*b^9*x + a^3*b^8)","A",0
195,1,139,0,0.972677," ","integrate(x^6/(b*x+a)^4,x, algorithm=""fricas"")","\frac{b^{6} x^{6} - 3 \, a b^{5} x^{5} + 15 \, a^{2} b^{4} x^{4} + 73 \, a^{3} b^{3} x^{3} + 39 \, a^{4} b^{2} x^{2} - 51 \, a^{5} b x - 37 \, a^{6} - 60 \, {\left(a^{3} b^{3} x^{3} + 3 \, a^{4} b^{2} x^{2} + 3 \, a^{5} b x + a^{6}\right)} \log\left(b x + a\right)}{3 \, {\left(b^{10} x^{3} + 3 \, a b^{9} x^{2} + 3 \, a^{2} b^{8} x + a^{3} b^{7}\right)}}"," ",0,"1/3*(b^6*x^6 - 3*a*b^5*x^5 + 15*a^2*b^4*x^4 + 73*a^3*b^3*x^3 + 39*a^4*b^2*x^2 - 51*a^5*b*x - 37*a^6 - 60*(a^3*b^3*x^3 + 3*a^4*b^2*x^2 + 3*a^5*b*x + a^6)*log(b*x + a))/(b^10*x^3 + 3*a*b^9*x^2 + 3*a^2*b^8*x + a^3*b^7)","A",0
196,1,129,0,0.791536," ","integrate(x^5/(b*x+a)^4,x, algorithm=""fricas"")","\frac{3 \, b^{5} x^{5} - 15 \, a b^{4} x^{4} - 63 \, a^{2} b^{3} x^{3} - 9 \, a^{3} b^{2} x^{2} + 81 \, a^{4} b x + 47 \, a^{5} + 60 \, {\left(a^{2} b^{3} x^{3} + 3 \, a^{3} b^{2} x^{2} + 3 \, a^{4} b x + a^{5}\right)} \log\left(b x + a\right)}{6 \, {\left(b^{9} x^{3} + 3 \, a b^{8} x^{2} + 3 \, a^{2} b^{7} x + a^{3} b^{6}\right)}}"," ",0,"1/6*(3*b^5*x^5 - 15*a*b^4*x^4 - 63*a^2*b^3*x^3 - 9*a^3*b^2*x^2 + 81*a^4*b*x + 47*a^5 + 60*(a^2*b^3*x^3 + 3*a^3*b^2*x^2 + 3*a^4*b*x + a^5)*log(b*x + a))/(b^9*x^3 + 3*a*b^8*x^2 + 3*a^2*b^7*x + a^3*b^6)","A",0
197,1,116,0,0.879754," ","integrate(x^4/(b*x+a)^4,x, algorithm=""fricas"")","\frac{3 \, b^{4} x^{4} + 9 \, a b^{3} x^{3} - 9 \, a^{2} b^{2} x^{2} - 27 \, a^{3} b x - 13 \, a^{4} - 12 \, {\left(a b^{3} x^{3} + 3 \, a^{2} b^{2} x^{2} + 3 \, a^{3} b x + a^{4}\right)} \log\left(b x + a\right)}{3 \, {\left(b^{8} x^{3} + 3 \, a b^{7} x^{2} + 3 \, a^{2} b^{6} x + a^{3} b^{5}\right)}}"," ",0,"1/3*(3*b^4*x^4 + 9*a*b^3*x^3 - 9*a^2*b^2*x^2 - 27*a^3*b*x - 13*a^4 - 12*(a*b^3*x^3 + 3*a^2*b^2*x^2 + 3*a^3*b*x + a^4)*log(b*x + a))/(b^8*x^3 + 3*a*b^7*x^2 + 3*a^2*b^6*x + a^3*b^5)","A",0
198,1,94,0,1.103767," ","integrate(x^3/(b*x+a)^4,x, algorithm=""fricas"")","\frac{18 \, a b^{2} x^{2} + 27 \, a^{2} b x + 11 \, a^{3} + 6 \, {\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)} \log\left(b x + a\right)}{6 \, {\left(b^{7} x^{3} + 3 \, a b^{6} x^{2} + 3 \, a^{2} b^{5} x + a^{3} b^{4}\right)}}"," ",0,"1/6*(18*a*b^2*x^2 + 27*a^2*b*x + 11*a^3 + 6*(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)*log(b*x + a))/(b^7*x^3 + 3*a*b^6*x^2 + 3*a^2*b^5*x + a^3*b^4)","A",0
199,1,54,0,1.042256," ","integrate(x^2/(b*x+a)^4,x, algorithm=""fricas"")","-\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
200,1,43,0,0.772423," ","integrate(x/(b*x+a)^4,x, algorithm=""fricas"")","-\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
201,1,35,0,1.139077," ","integrate(1/(b*x+a)^4,x, algorithm=""fricas"")","-\frac{1}{3 \, {\left(b^{4} x^{3} + 3 \, a b^{3} x^{2} + 3 \, a^{2} b^{2} x + a^{3} b\right)}}"," ",0,"-1/3/(b^4*x^3 + 3*a*b^3*x^2 + 3*a^2*b^2*x + a^3*b)","B",0
202,1,124,0,1.070902," ","integrate(1/x/(b*x+a)^4,x, algorithm=""fricas"")","\frac{6 \, a b^{2} x^{2} + 15 \, a^{2} b x + 11 \, a^{3} - 6 \, {\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)} \log\left(b x + a\right) + 6 \, {\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)} \log\left(x\right)}{6 \, {\left(a^{4} b^{3} x^{3} + 3 \, a^{5} b^{2} x^{2} + 3 \, a^{6} b x + a^{7}\right)}}"," ",0,"1/6*(6*a*b^2*x^2 + 15*a^2*b*x + 11*a^3 - 6*(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)*log(b*x + a) + 6*(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)*log(x))/(a^4*b^3*x^3 + 3*a^5*b^2*x^2 + 3*a^6*b*x + a^7)","B",0
203,1,153,0,1.098613," ","integrate(1/x^2/(b*x+a)^4,x, algorithm=""fricas"")","-\frac{12 \, a b^{3} x^{3} + 30 \, a^{2} b^{2} x^{2} + 22 \, a^{3} b x + 3 \, a^{4} - 12 \, {\left(b^{4} x^{4} + 3 \, a b^{3} x^{3} + 3 \, a^{2} b^{2} x^{2} + a^{3} b x\right)} \log\left(b x + a\right) + 12 \, {\left(b^{4} x^{4} + 3 \, a b^{3} x^{3} + 3 \, a^{2} b^{2} x^{2} + a^{3} b x\right)} \log\left(x\right)}{3 \, {\left(a^{5} b^{3} x^{4} + 3 \, a^{6} b^{2} x^{3} + 3 \, a^{7} b x^{2} + a^{8} x\right)}}"," ",0,"-1/3*(12*a*b^3*x^3 + 30*a^2*b^2*x^2 + 22*a^3*b*x + 3*a^4 - 12*(b^4*x^4 + 3*a*b^3*x^3 + 3*a^2*b^2*x^2 + a^3*b*x)*log(b*x + a) + 12*(b^4*x^4 + 3*a*b^3*x^3 + 3*a^2*b^2*x^2 + a^3*b*x)*log(x))/(a^5*b^3*x^4 + 3*a^6*b^2*x^3 + 3*a^7*b*x^2 + a^8*x)","B",0
204,1,174,0,0.847317," ","integrate(1/x^3/(b*x+a)^4,x, algorithm=""fricas"")","\frac{60 \, a b^{4} x^{4} + 150 \, a^{2} b^{3} x^{3} + 110 \, a^{3} b^{2} x^{2} + 15 \, a^{4} b x - 3 \, a^{5} - 60 \, {\left(b^{5} x^{5} + 3 \, a b^{4} x^{4} + 3 \, a^{2} b^{3} x^{3} + a^{3} b^{2} x^{2}\right)} \log\left(b x + a\right) + 60 \, {\left(b^{5} x^{5} + 3 \, a b^{4} x^{4} + 3 \, a^{2} b^{3} x^{3} + a^{3} b^{2} x^{2}\right)} \log\left(x\right)}{6 \, {\left(a^{6} b^{3} x^{5} + 3 \, a^{7} b^{2} x^{4} + 3 \, a^{8} b x^{3} + a^{9} x^{2}\right)}}"," ",0,"1/6*(60*a*b^4*x^4 + 150*a^2*b^3*x^3 + 110*a^3*b^2*x^2 + 15*a^4*b*x - 3*a^5 - 60*(b^5*x^5 + 3*a*b^4*x^4 + 3*a^2*b^3*x^3 + a^3*b^2*x^2)*log(b*x + a) + 60*(b^5*x^5 + 3*a*b^4*x^4 + 3*a^2*b^3*x^3 + a^3*b^2*x^2)*log(x))/(a^6*b^3*x^5 + 3*a^7*b^2*x^4 + 3*a^8*b*x^3 + a^9*x^2)","A",0
205,1,183,0,0.743243," ","integrate(1/x^4/(b*x+a)^4,x, algorithm=""fricas"")","-\frac{60 \, a b^{5} x^{5} + 150 \, a^{2} b^{4} x^{4} + 110 \, a^{3} b^{3} x^{3} + 15 \, a^{4} b^{2} x^{2} - 3 \, a^{5} b x + a^{6} - 60 \, {\left(b^{6} x^{6} + 3 \, a b^{5} x^{5} + 3 \, a^{2} b^{4} x^{4} + a^{3} b^{3} x^{3}\right)} \log\left(b x + a\right) + 60 \, {\left(b^{6} x^{6} + 3 \, a b^{5} x^{5} + 3 \, a^{2} b^{4} x^{4} + a^{3} b^{3} x^{3}\right)} \log\left(x\right)}{3 \, {\left(a^{7} b^{3} x^{6} + 3 \, a^{8} b^{2} x^{5} + 3 \, a^{9} b x^{4} + a^{10} x^{3}\right)}}"," ",0,"-1/3*(60*a*b^5*x^5 + 150*a^2*b^4*x^4 + 110*a^3*b^3*x^3 + 15*a^4*b^2*x^2 - 3*a^5*b*x + a^6 - 60*(b^6*x^6 + 3*a*b^5*x^5 + 3*a^2*b^4*x^4 + a^3*b^3*x^3)*log(b*x + a) + 60*(b^6*x^6 + 3*a*b^5*x^5 + 3*a^2*b^4*x^4 + a^3*b^3*x^3)*log(x))/(a^7*b^3*x^6 + 3*a^8*b^2*x^5 + 3*a^9*b*x^4 + a^10*x^3)","A",0
206,1,196,0,1.131523," ","integrate(1/x^5/(b*x+a)^4,x, algorithm=""fricas"")","\frac{420 \, a b^{6} x^{6} + 1050 \, a^{2} b^{5} x^{5} + 770 \, a^{3} b^{4} x^{4} + 105 \, a^{4} b^{3} x^{3} - 21 \, a^{5} b^{2} x^{2} + 7 \, a^{6} b x - 3 \, a^{7} - 420 \, {\left(b^{7} x^{7} + 3 \, a b^{6} x^{6} + 3 \, a^{2} b^{5} x^{5} + a^{3} b^{4} x^{4}\right)} \log\left(b x + a\right) + 420 \, {\left(b^{7} x^{7} + 3 \, a b^{6} x^{6} + 3 \, a^{2} b^{5} x^{5} + a^{3} b^{4} x^{4}\right)} \log\left(x\right)}{12 \, {\left(a^{8} b^{3} x^{7} + 3 \, a^{9} b^{2} x^{6} + 3 \, a^{10} b x^{5} + a^{11} x^{4}\right)}}"," ",0,"1/12*(420*a*b^6*x^6 + 1050*a^2*b^5*x^5 + 770*a^3*b^4*x^4 + 105*a^4*b^3*x^3 - 21*a^5*b^2*x^2 + 7*a^6*b*x - 3*a^7 - 420*(b^7*x^7 + 3*a*b^6*x^6 + 3*a^2*b^5*x^5 + a^3*b^4*x^4)*log(b*x + a) + 420*(b^7*x^7 + 3*a*b^6*x^6 + 3*a^2*b^5*x^5 + a^3*b^4*x^4)*log(x))/(a^8*b^3*x^7 + 3*a^9*b^2*x^6 + 3*a^10*b*x^5 + a^11*x^4)","A",0
207,1,250,0,1.032730," ","integrate(x^10/(b*x+a)^7,x, algorithm=""fricas"")","\frac{3 \, b^{10} x^{10} - 10 \, a b^{9} x^{9} + 45 \, a^{2} b^{8} x^{8} - 360 \, a^{3} b^{7} x^{7} - 4043 \, a^{4} b^{6} x^{6} - 9138 \, a^{5} b^{5} x^{5} - 3945 \, a^{6} b^{4} x^{4} + 11540 \, a^{7} b^{3} x^{3} + 18105 \, a^{8} b^{2} x^{2} + 10266 \, a^{9} b x + 2131 \, a^{10} + 2520 \, {\left(a^{4} b^{6} x^{6} + 6 \, a^{5} b^{5} x^{5} + 15 \, a^{6} b^{4} x^{4} + 20 \, a^{7} b^{3} x^{3} + 15 \, a^{8} b^{2} x^{2} + 6 \, a^{9} b x + a^{10}\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/12*(3*b^10*x^10 - 10*a*b^9*x^9 + 45*a^2*b^8*x^8 - 360*a^3*b^7*x^7 - 4043*a^4*b^6*x^6 - 9138*a^5*b^5*x^5 - 3945*a^6*b^4*x^4 + 11540*a^7*b^3*x^3 + 18105*a^8*b^2*x^2 + 10266*a^9*b*x + 2131*a^10 + 2520*(a^4*b^6*x^6 + 6*a^5*b^5*x^5 + 15*a^6*b^4*x^4 + 20*a^7*b^3*x^3 + 15*a^8*b^2*x^2 + 6*a^9*b*x + a^10)*log(b*x + a))/(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)","A",0
208,1,239,0,1.117000," ","integrate(x^9/(b*x+a)^7,x, algorithm=""fricas"")","\frac{10 \, b^{9} x^{9} - 45 \, a b^{8} x^{8} + 360 \, a^{2} b^{7} x^{7} + 3665 \, a^{3} b^{6} x^{6} + 6870 \, a^{4} b^{5} x^{5} - 1725 \, a^{5} b^{4} x^{4} - 19100 \, a^{6} b^{3} x^{3} - 23775 \, a^{7} b^{2} x^{2} - 12534 \, a^{8} b x - 2509 \, a^{9} - 2520 \, {\left(a^{3} b^{6} x^{6} + 6 \, a^{4} b^{5} x^{5} + 15 \, a^{5} b^{4} x^{4} + 20 \, a^{6} b^{3} x^{3} + 15 \, a^{7} b^{2} x^{2} + 6 \, a^{8} b x + a^{9}\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/30*(10*b^9*x^9 - 45*a*b^8*x^8 + 360*a^2*b^7*x^7 + 3665*a^3*b^6*x^6 + 6870*a^4*b^5*x^5 - 1725*a^5*b^4*x^4 - 19100*a^6*b^3*x^3 - 23775*a^7*b^2*x^2 - 12534*a^8*b*x - 2509*a^9 - 2520*(a^3*b^6*x^6 + 6*a^4*b^5*x^5 + 15*a^5*b^4*x^4 + 20*a^6*b^3*x^3 + 15*a^7*b^2*x^2 + 6*a^8*b*x + a^9)*log(b*x + a))/(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)","A",0
209,1,228,0,0.927842," ","integrate(x^8/(b*x+a)^7,x, algorithm=""fricas"")","\frac{15 \, b^{8} x^{8} - 120 \, a b^{7} x^{7} - 1035 \, a^{2} b^{6} x^{6} - 1170 \, a^{3} b^{5} x^{5} + 3375 \, a^{4} b^{4} x^{4} + 10100 \, a^{5} b^{3} x^{3} + 10725 \, a^{6} b^{2} x^{2} + 5298 \, a^{7} b x + 1023 \, a^{8} + 840 \, {\left(a^{2} b^{6} x^{6} + 6 \, a^{3} b^{5} x^{5} + 15 \, a^{4} b^{4} x^{4} + 20 \, a^{5} b^{3} x^{3} + 15 \, a^{6} b^{2} x^{2} + 6 \, a^{7} b x + a^{8}\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/30*(15*b^8*x^8 - 120*a*b^7*x^7 - 1035*a^2*b^6*x^6 - 1170*a^3*b^5*x^5 + 3375*a^4*b^4*x^4 + 10100*a^5*b^3*x^3 + 10725*a^6*b^2*x^2 + 5298*a^7*b*x + 1023*a^8 + 840*(a^2*b^6*x^6 + 6*a^3*b^5*x^5 + 15*a^4*b^4*x^4 + 20*a^5*b^3*x^3 + 15*a^6*b^2*x^2 + 6*a^7*b*x + a^8)*log(b*x + a))/(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)","A",0
210,1,215,0,1.033091," ","integrate(x^7/(b*x+a)^7,x, algorithm=""fricas"")","\frac{60 \, b^{7} x^{7} + 360 \, a b^{6} x^{6} - 360 \, a^{2} b^{5} x^{5} - 4050 \, a^{3} b^{4} x^{4} - 8200 \, a^{4} b^{3} x^{3} - 7725 \, a^{5} b^{2} x^{2} - 3594 \, a^{6} b x - 669 \, a^{7} - 420 \, {\left(a b^{6} x^{6} + 6 \, a^{2} b^{5} x^{5} + 15 \, a^{3} b^{4} x^{4} + 20 \, a^{4} b^{3} x^{3} + 15 \, a^{5} b^{2} x^{2} + 6 \, a^{6} b x + a^{7}\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/60*(60*b^7*x^7 + 360*a*b^6*x^6 - 360*a^2*b^5*x^5 - 4050*a^3*b^4*x^4 - 8200*a^4*b^3*x^3 - 7725*a^5*b^2*x^2 - 3594*a^6*b*x - 669*a^7 - 420*(a*b^6*x^6 + 6*a^2*b^5*x^5 + 15*a^3*b^4*x^4 + 20*a^4*b^3*x^3 + 15*a^5*b^2*x^2 + 6*a^6*b*x + a^7)*log(b*x + a))/(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)","A",0
211,1,193,0,1.077908," ","integrate(x^6/(b*x+a)^7,x, algorithm=""fricas"")","\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^{6} x^{6} + 6 \, a b^{5} x^{5} + 15 \, a^{2} b^{4} x^{4} + 20 \, a^{3} b^{3} x^{3} + 15 \, a^{4} b^{2} x^{2} + 6 \, a^{5} b x + a^{6}\right)} \log\left(b x + a\right)}{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)}}"," ",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 + 60*(b^6*x^6 + 6*a*b^5*x^5 + 15*a^2*b^4*x^4 + 20*a^3*b^3*x^3 + 15*a^4*b^2*x^2 + 6*a^5*b*x + a^6)*log(b*x + a))/(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)","A",0
212,1,120,0,0.949132," ","integrate(x^5/(b*x+a)^7,x, algorithm=""fricas"")","-\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
213,1,109,0,0.861892," ","integrate(x^4/(b*x+a)^7,x, algorithm=""fricas"")","-\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
214,1,98,0,1.119789," ","integrate(x^3/(b*x+a)^7,x, algorithm=""fricas"")","-\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
215,1,87,0,0.884546," ","integrate(x^2/(b*x+a)^7,x, algorithm=""fricas"")","-\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
216,1,76,0,0.882145," ","integrate(x/(b*x+a)^7,x, algorithm=""fricas"")","-\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
217,1,68,0,1.197673," ","integrate(1/(b*x+a)^7,x, algorithm=""fricas"")","-\frac{1}{6 \, {\left(b^{7} x^{6} + 6 \, a b^{6} x^{5} + 15 \, a^{2} b^{5} x^{4} + 20 \, a^{3} b^{4} x^{3} + 15 \, a^{4} b^{3} x^{2} + 6 \, a^{5} b^{2} x + a^{6} b\right)}}"," ",0,"-1/6/(b^7*x^6 + 6*a*b^6*x^5 + 15*a^2*b^5*x^4 + 20*a^3*b^4*x^3 + 15*a^4*b^3*x^2 + 6*a^5*b^2*x + a^6*b)","B",0
218,1,256,0,0.655056," ","integrate(1/x/(b*x+a)^7,x, algorithm=""fricas"")","\frac{60 \, a b^{5} x^{5} + 330 \, a^{2} b^{4} x^{4} + 740 \, a^{3} b^{3} x^{3} + 855 \, a^{4} b^{2} x^{2} + 522 \, a^{5} b x + 147 \, a^{6} - 60 \, {\left(b^{6} x^{6} + 6 \, a b^{5} x^{5} + 15 \, a^{2} b^{4} x^{4} + 20 \, a^{3} b^{3} x^{3} + 15 \, a^{4} b^{2} x^{2} + 6 \, a^{5} b x + a^{6}\right)} \log\left(b x + a\right) + 60 \, {\left(b^{6} x^{6} + 6 \, a b^{5} x^{5} + 15 \, a^{2} b^{4} x^{4} + 20 \, a^{3} b^{3} x^{3} + 15 \, a^{4} b^{2} x^{2} + 6 \, a^{5} b x + a^{6}\right)} \log\left(x\right)}{60 \, {\left(a^{7} b^{6} x^{6} + 6 \, a^{8} b^{5} x^{5} + 15 \, a^{9} b^{4} x^{4} + 20 \, a^{10} b^{3} x^{3} + 15 \, a^{11} b^{2} x^{2} + 6 \, a^{12} b x + a^{13}\right)}}"," ",0,"1/60*(60*a*b^5*x^5 + 330*a^2*b^4*x^4 + 740*a^3*b^3*x^3 + 855*a^4*b^2*x^2 + 522*a^5*b*x + 147*a^6 - 60*(b^6*x^6 + 6*a*b^5*x^5 + 15*a^2*b^4*x^4 + 20*a^3*b^3*x^3 + 15*a^4*b^2*x^2 + 6*a^5*b*x + a^6)*log(b*x + a) + 60*(b^6*x^6 + 6*a*b^5*x^5 + 15*a^2*b^4*x^4 + 20*a^3*b^3*x^3 + 15*a^4*b^2*x^2 + 6*a^5*b*x + a^6)*log(x))/(a^7*b^6*x^6 + 6*a^8*b^5*x^5 + 15*a^9*b^4*x^4 + 20*a^10*b^3*x^3 + 15*a^11*b^2*x^2 + 6*a^12*b*x + a^13)","B",0
219,1,285,0,1.322465," ","integrate(1/x^2/(b*x+a)^7,x, algorithm=""fricas"")","-\frac{420 \, a b^{6} x^{6} + 2310 \, a^{2} b^{5} x^{5} + 5180 \, a^{3} b^{4} x^{4} + 5985 \, a^{4} b^{3} x^{3} + 3654 \, a^{5} b^{2} x^{2} + 1029 \, a^{6} b x + 60 \, a^{7} - 420 \, {\left(b^{7} x^{7} + 6 \, a b^{6} x^{6} + 15 \, a^{2} b^{5} x^{5} + 20 \, a^{3} b^{4} x^{4} + 15 \, a^{4} b^{3} x^{3} + 6 \, a^{5} b^{2} x^{2} + a^{6} b x\right)} \log\left(b x + a\right) + 420 \, {\left(b^{7} x^{7} + 6 \, a b^{6} x^{6} + 15 \, a^{2} b^{5} x^{5} + 20 \, a^{3} b^{4} x^{4} + 15 \, a^{4} b^{3} x^{3} + 6 \, a^{5} b^{2} x^{2} + a^{6} b x\right)} \log\left(x\right)}{60 \, {\left(a^{8} b^{6} x^{7} + 6 \, a^{9} b^{5} x^{6} + 15 \, a^{10} b^{4} x^{5} + 20 \, a^{11} b^{3} x^{4} + 15 \, a^{12} b^{2} x^{3} + 6 \, a^{13} b x^{2} + a^{14} x\right)}}"," ",0,"-1/60*(420*a*b^6*x^6 + 2310*a^2*b^5*x^5 + 5180*a^3*b^4*x^4 + 5985*a^4*b^3*x^3 + 3654*a^5*b^2*x^2 + 1029*a^6*b*x + 60*a^7 - 420*(b^7*x^7 + 6*a*b^6*x^6 + 15*a^2*b^5*x^5 + 20*a^3*b^4*x^4 + 15*a^4*b^3*x^3 + 6*a^5*b^2*x^2 + a^6*b*x)*log(b*x + a) + 420*(b^7*x^7 + 6*a*b^6*x^6 + 15*a^2*b^5*x^5 + 20*a^3*b^4*x^4 + 15*a^4*b^3*x^3 + 6*a^5*b^2*x^2 + a^6*b*x)*log(x))/(a^8*b^6*x^7 + 6*a^9*b^5*x^6 + 15*a^10*b^4*x^5 + 20*a^11*b^3*x^4 + 15*a^12*b^2*x^3 + 6*a^13*b*x^2 + a^14*x)","B",0
220,1,306,0,1.325932," ","integrate(1/x^3/(b*x+a)^7,x, algorithm=""fricas"")","\frac{840 \, a b^{7} x^{7} + 4620 \, a^{2} b^{6} x^{6} + 10360 \, a^{3} b^{5} x^{5} + 11970 \, a^{4} b^{4} x^{4} + 7308 \, a^{5} b^{3} x^{3} + 2058 \, a^{6} b^{2} x^{2} + 120 \, a^{7} b x - 15 \, a^{8} - 840 \, {\left(b^{8} x^{8} + 6 \, a b^{7} x^{7} + 15 \, a^{2} b^{6} x^{6} + 20 \, a^{3} b^{5} x^{5} + 15 \, a^{4} b^{4} x^{4} + 6 \, a^{5} b^{3} x^{3} + a^{6} b^{2} x^{2}\right)} \log\left(b x + a\right) + 840 \, {\left(b^{8} x^{8} + 6 \, a b^{7} x^{7} + 15 \, a^{2} b^{6} x^{6} + 20 \, a^{3} b^{5} x^{5} + 15 \, a^{4} b^{4} x^{4} + 6 \, a^{5} b^{3} x^{3} + a^{6} b^{2} x^{2}\right)} \log\left(x\right)}{30 \, {\left(a^{9} b^{6} x^{8} + 6 \, a^{10} b^{5} x^{7} + 15 \, a^{11} b^{4} x^{6} + 20 \, a^{12} b^{3} x^{5} + 15 \, a^{13} b^{2} x^{4} + 6 \, a^{14} b x^{3} + a^{15} x^{2}\right)}}"," ",0,"1/30*(840*a*b^7*x^7 + 4620*a^2*b^6*x^6 + 10360*a^3*b^5*x^5 + 11970*a^4*b^4*x^4 + 7308*a^5*b^3*x^3 + 2058*a^6*b^2*x^2 + 120*a^7*b*x - 15*a^8 - 840*(b^8*x^8 + 6*a*b^7*x^7 + 15*a^2*b^6*x^6 + 20*a^3*b^5*x^5 + 15*a^4*b^4*x^4 + 6*a^5*b^3*x^3 + a^6*b^2*x^2)*log(b*x + a) + 840*(b^8*x^8 + 6*a*b^7*x^7 + 15*a^2*b^6*x^6 + 20*a^3*b^5*x^5 + 15*a^4*b^4*x^4 + 6*a^5*b^3*x^3 + a^6*b^2*x^2)*log(x))/(a^9*b^6*x^8 + 6*a^10*b^5*x^7 + 15*a^11*b^4*x^6 + 20*a^12*b^3*x^5 + 15*a^13*b^2*x^4 + 6*a^14*b*x^3 + a^15*x^2)","B",0
221,1,317,0,1.289466," ","integrate(1/x^4/(b*x+a)^7,x, algorithm=""fricas"")","-\frac{2520 \, a b^{8} x^{8} + 13860 \, a^{2} b^{7} x^{7} + 31080 \, a^{3} b^{6} x^{6} + 35910 \, a^{4} b^{5} x^{5} + 21924 \, a^{5} b^{4} x^{4} + 6174 \, a^{6} b^{3} x^{3} + 360 \, a^{7} b^{2} x^{2} - 45 \, a^{8} b x + 10 \, a^{9} - 2520 \, {\left(b^{9} x^{9} + 6 \, a b^{8} x^{8} + 15 \, a^{2} b^{7} x^{7} + 20 \, a^{3} b^{6} x^{6} + 15 \, a^{4} b^{5} x^{5} + 6 \, a^{5} b^{4} x^{4} + a^{6} b^{3} x^{3}\right)} \log\left(b x + a\right) + 2520 \, {\left(b^{9} x^{9} + 6 \, a b^{8} x^{8} + 15 \, a^{2} b^{7} x^{7} + 20 \, a^{3} b^{6} x^{6} + 15 \, a^{4} b^{5} x^{5} + 6 \, a^{5} b^{4} x^{4} + a^{6} b^{3} x^{3}\right)} \log\left(x\right)}{30 \, {\left(a^{10} b^{6} x^{9} + 6 \, a^{11} b^{5} x^{8} + 15 \, a^{12} b^{4} x^{7} + 20 \, a^{13} b^{3} x^{6} + 15 \, a^{14} b^{2} x^{5} + 6 \, a^{15} b x^{4} + a^{16} x^{3}\right)}}"," ",0,"-1/30*(2520*a*b^8*x^8 + 13860*a^2*b^7*x^7 + 31080*a^3*b^6*x^6 + 35910*a^4*b^5*x^5 + 21924*a^5*b^4*x^4 + 6174*a^6*b^3*x^3 + 360*a^7*b^2*x^2 - 45*a^8*b*x + 10*a^9 - 2520*(b^9*x^9 + 6*a*b^8*x^8 + 15*a^2*b^7*x^7 + 20*a^3*b^6*x^6 + 15*a^4*b^5*x^5 + 6*a^5*b^4*x^4 + a^6*b^3*x^3)*log(b*x + a) + 2520*(b^9*x^9 + 6*a*b^8*x^8 + 15*a^2*b^7*x^7 + 20*a^3*b^6*x^6 + 15*a^4*b^5*x^5 + 6*a^5*b^4*x^4 + a^6*b^3*x^3)*log(x))/(a^10*b^6*x^9 + 6*a^11*b^5*x^8 + 15*a^12*b^4*x^7 + 20*a^13*b^3*x^6 + 15*a^14*b^2*x^5 + 6*a^15*b*x^4 + a^16*x^3)","B",0
222,1,338,0,1.199395," ","integrate(x^12/(b*x+a)^10,x, algorithm=""fricas"")","\frac{42 \, b^{12} x^{12} - 252 \, a b^{11} x^{11} + 2772 \, a^{2} b^{10} x^{10} + 43218 \, a^{3} b^{9} x^{9} + 139482 \, a^{4} b^{8} x^{8} + 58968 \, a^{5} b^{7} x^{7} - 638568 \, a^{6} b^{6} x^{6} - 1831032 \, a^{7} b^{5} x^{5} - 2529576 \, a^{8} b^{4} x^{4} - 2074464 \, a^{9} b^{3} x^{3} - 1031616 \, a^{10} b^{2} x^{2} - 289089 \, a^{11} b x - 35201 \, a^{12} - 27720 \, {\left(a^{3} b^{9} x^{9} + 9 \, a^{4} b^{8} x^{8} + 36 \, a^{5} b^{7} x^{7} + 84 \, a^{6} b^{6} x^{6} + 126 \, a^{7} b^{5} x^{5} + 126 \, a^{8} b^{4} x^{4} + 84 \, a^{9} b^{3} x^{3} + 36 \, a^{10} b^{2} x^{2} + 9 \, a^{11} b x + a^{12}\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/126*(42*b^12*x^12 - 252*a*b^11*x^11 + 2772*a^2*b^10*x^10 + 43218*a^3*b^9*x^9 + 139482*a^4*b^8*x^8 + 58968*a^5*b^7*x^7 - 638568*a^6*b^6*x^6 - 1831032*a^7*b^5*x^5 - 2529576*a^8*b^4*x^4 - 2074464*a^9*b^3*x^3 - 1031616*a^10*b^2*x^2 - 289089*a^11*b*x - 35201*a^12 - 27720*(a^3*b^9*x^9 + 9*a^4*b^8*x^8 + 36*a^5*b^7*x^7 + 84*a^6*b^6*x^6 + 126*a^7*b^5*x^5 + 126*a^8*b^4*x^4 + 84*a^9*b^3*x^3 + 36*a^10*b^2*x^2 + 9*a^11*b*x + a^12)*log(b*x + a))/(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)","A",0
223,1,327,0,0.680922," ","integrate(x^11/(b*x+a)^10,x, algorithm=""fricas"")","\frac{252 \, b^{11} x^{11} - 2772 \, a b^{10} x^{10} - 36288 \, a^{2} b^{9} x^{9} - 77112 \, a^{3} b^{8} x^{8} + 190512 \, a^{4} b^{7} x^{7} + 1220688 \, a^{5} b^{6} x^{6} + 2704212 \, a^{6} b^{5} x^{5} + 3402756 \, a^{7} b^{4} x^{4} + 2656584 \, a^{8} b^{3} x^{3} + 1281096 \, a^{9} b^{2} x^{2} + 351459 \, a^{10} b x + 42131 \, a^{11} + 27720 \, {\left(a^{2} b^{9} x^{9} + 9 \, a^{3} b^{8} x^{8} + 36 \, a^{4} b^{7} x^{7} + 84 \, a^{5} b^{6} x^{6} + 126 \, a^{6} b^{5} x^{5} + 126 \, a^{7} b^{4} x^{4} + 84 \, a^{8} b^{3} x^{3} + 36 \, a^{9} b^{2} x^{2} + 9 \, a^{10} b x + a^{11}\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/504*(252*b^11*x^11 - 2772*a*b^10*x^10 - 36288*a^2*b^9*x^9 - 77112*a^3*b^8*x^8 + 190512*a^4*b^7*x^7 + 1220688*a^5*b^6*x^6 + 2704212*a^6*b^5*x^5 + 3402756*a^7*b^4*x^4 + 2656584*a^8*b^3*x^3 + 1281096*a^9*b^2*x^2 + 351459*a^10*b*x + 42131*a^11 + 27720*(a^2*b^9*x^9 + 9*a^3*b^8*x^8 + 36*a^4*b^7*x^7 + 84*a^5*b^6*x^6 + 126*a^6*b^5*x^5 + 126*a^7*b^4*x^4 + 84*a^8*b^3*x^3 + 36*a^9*b^2*x^2 + 9*a^10*b*x + a^11)*log(b*x + a))/(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)","A",0
224,1,314,0,1.416981," ","integrate(x^10/(b*x+a)^10,x, algorithm=""fricas"")","\frac{252 \, b^{10} x^{10} + 2268 \, a b^{9} x^{9} - 2268 \, a^{2} b^{8} x^{8} - 54432 \, a^{3} b^{7} x^{7} - 197568 \, a^{4} b^{6} x^{6} - 375732 \, a^{5} b^{5} x^{5} - 439236 \, a^{6} b^{4} x^{4} - 328104 \, a^{7} b^{3} x^{3} - 153576 \, a^{8} b^{2} x^{2} - 41229 \, a^{9} b x - 4861 \, a^{10} - 2520 \, {\left(a b^{9} x^{9} + 9 \, a^{2} b^{8} x^{8} + 36 \, a^{3} b^{7} x^{7} + 84 \, a^{4} b^{6} x^{6} + 126 \, a^{5} b^{5} x^{5} + 126 \, a^{6} b^{4} x^{4} + 84 \, a^{7} b^{3} x^{3} + 36 \, a^{8} b^{2} x^{2} + 9 \, a^{9} b x + a^{10}\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/252*(252*b^10*x^10 + 2268*a*b^9*x^9 - 2268*a^2*b^8*x^8 - 54432*a^3*b^7*x^7 - 197568*a^4*b^6*x^6 - 375732*a^5*b^5*x^5 - 439236*a^6*b^4*x^4 - 328104*a^7*b^3*x^3 - 153576*a^8*b^2*x^2 - 41229*a^9*b*x - 4861*a^10 - 2520*(a*b^9*x^9 + 9*a^2*b^8*x^8 + 36*a^3*b^7*x^7 + 84*a^4*b^6*x^6 + 126*a^5*b^5*x^5 + 126*a^6*b^4*x^4 + 84*a^7*b^3*x^3 + 36*a^8*b^2*x^2 + 9*a^9*b*x + a^10)*log(b*x + a))/(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)","B",0
225,1,292,0,1.210995," ","integrate(x^9/(b*x+a)^10,x, algorithm=""fricas"")","\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^{9} x^{9} + 9 \, a b^{8} x^{8} + 36 \, a^{2} b^{7} x^{7} + 84 \, a^{3} b^{6} x^{6} + 126 \, a^{4} b^{5} x^{5} + 126 \, a^{5} b^{4} x^{4} + 84 \, a^{6} b^{3} x^{3} + 36 \, a^{7} b^{2} x^{2} + 9 \, a^{8} b x + a^{9}\right)} \log\left(b x + a\right)}{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)}}"," ",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 + 2520*(b^9*x^9 + 9*a*b^8*x^8 + 36*a^2*b^7*x^7 + 84*a^3*b^6*x^6 + 126*a^4*b^5*x^5 + 126*a^5*b^4*x^4 + 84*a^6*b^3*x^3 + 36*a^7*b^2*x^2 + 9*a^8*b*x + a^9)*log(b*x + a))/(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)","B",0
226,1,186,0,1.078347," ","integrate(x^8/(b*x+a)^10,x, algorithm=""fricas"")","-\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
227,1,175,0,0.879925," ","integrate(x^7/(b*x+a)^10,x, algorithm=""fricas"")","-\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
228,1,164,0,0.866718," ","integrate(x^6/(b*x+a)^10,x, algorithm=""fricas"")","-\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
229,1,153,0,0.975811," ","integrate(x^5/(b*x+a)^10,x, algorithm=""fricas"")","-\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
230,1,142,0,1.134448," ","integrate(x^4/(b*x+a)^10,x, algorithm=""fricas"")","-\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
231,1,131,0,0.805602," ","integrate(x^3/(b*x+a)^10,x, algorithm=""fricas"")","-\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
232,1,120,0,1.174433," ","integrate(x^2/(b*x+a)^10,x, algorithm=""fricas"")","-\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
233,1,109,0,1.043331," ","integrate(x/(b*x+a)^10,x, algorithm=""fricas"")","-\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
234,1,101,0,1.102154," ","integrate(1/(b*x+a)^10,x, algorithm=""fricas"")","-\frac{1}{9 \, {\left(b^{10} x^{9} + 9 \, a b^{9} x^{8} + 36 \, a^{2} b^{8} x^{7} + 84 \, a^{3} b^{7} x^{6} + 126 \, a^{4} b^{6} x^{5} + 126 \, a^{5} b^{5} x^{4} + 84 \, a^{6} b^{4} x^{3} + 36 \, a^{7} b^{3} x^{2} + 9 \, a^{8} b^{2} x + a^{9} b\right)}}"," ",0,"-1/9/(b^10*x^9 + 9*a*b^9*x^8 + 36*a^2*b^8*x^7 + 84*a^3*b^7*x^6 + 126*a^4*b^6*x^5 + 126*a^5*b^5*x^4 + 84*a^6*b^4*x^3 + 36*a^7*b^3*x^2 + 9*a^8*b^2*x + a^9*b)","B",0
235,1,388,0,1.075912," ","integrate(1/x/(b*x+a)^10,x, algorithm=""fricas"")","\frac{2520 \, a b^{8} x^{8} + 21420 \, a^{2} b^{7} x^{7} + 80220 \, a^{3} b^{6} x^{6} + 173250 \, a^{4} b^{5} x^{5} + 236754 \, a^{5} b^{4} x^{4} + 210756 \, a^{6} b^{3} x^{3} + 120564 \, a^{7} b^{2} x^{2} + 41481 \, a^{8} b x + 7129 \, a^{9} - 2520 \, {\left(b^{9} x^{9} + 9 \, a b^{8} x^{8} + 36 \, a^{2} b^{7} x^{7} + 84 \, a^{3} b^{6} x^{6} + 126 \, a^{4} b^{5} x^{5} + 126 \, a^{5} b^{4} x^{4} + 84 \, a^{6} b^{3} x^{3} + 36 \, a^{7} b^{2} x^{2} + 9 \, a^{8} b x + a^{9}\right)} \log\left(b x + a\right) + 2520 \, {\left(b^{9} x^{9} + 9 \, a b^{8} x^{8} + 36 \, a^{2} b^{7} x^{7} + 84 \, a^{3} b^{6} x^{6} + 126 \, a^{4} b^{5} x^{5} + 126 \, a^{5} b^{4} x^{4} + 84 \, a^{6} b^{3} x^{3} + 36 \, a^{7} b^{2} x^{2} + 9 \, a^{8} b x + a^{9}\right)} \log\left(x\right)}{2520 \, {\left(a^{10} b^{9} x^{9} + 9 \, a^{11} b^{8} x^{8} + 36 \, a^{12} b^{7} x^{7} + 84 \, a^{13} b^{6} x^{6} + 126 \, a^{14} b^{5} x^{5} + 126 \, a^{15} b^{4} x^{4} + 84 \, a^{16} b^{3} x^{3} + 36 \, a^{17} b^{2} x^{2} + 9 \, a^{18} b x + a^{19}\right)}}"," ",0,"1/2520*(2520*a*b^8*x^8 + 21420*a^2*b^7*x^7 + 80220*a^3*b^6*x^6 + 173250*a^4*b^5*x^5 + 236754*a^5*b^4*x^4 + 210756*a^6*b^3*x^3 + 120564*a^7*b^2*x^2 + 41481*a^8*b*x + 7129*a^9 - 2520*(b^9*x^9 + 9*a*b^8*x^8 + 36*a^2*b^7*x^7 + 84*a^3*b^6*x^6 + 126*a^4*b^5*x^5 + 126*a^5*b^4*x^4 + 84*a^6*b^3*x^3 + 36*a^7*b^2*x^2 + 9*a^8*b*x + a^9)*log(b*x + a) + 2520*(b^9*x^9 + 9*a*b^8*x^8 + 36*a^2*b^7*x^7 + 84*a^3*b^6*x^6 + 126*a^4*b^5*x^5 + 126*a^5*b^4*x^4 + 84*a^6*b^3*x^3 + 36*a^7*b^2*x^2 + 9*a^8*b*x + a^9)*log(x))/(a^10*b^9*x^9 + 9*a^11*b^8*x^8 + 36*a^12*b^7*x^7 + 84*a^13*b^6*x^6 + 126*a^14*b^5*x^5 + 126*a^15*b^4*x^4 + 84*a^16*b^3*x^3 + 36*a^17*b^2*x^2 + 9*a^18*b*x + a^19)","B",0
236,1,417,0,1.173209," ","integrate(1/x^2/(b*x+a)^10,x, algorithm=""fricas"")","-\frac{2520 \, a b^{9} x^{9} + 21420 \, a^{2} b^{8} x^{8} + 80220 \, a^{3} b^{7} x^{7} + 173250 \, a^{4} b^{6} x^{6} + 236754 \, a^{5} b^{5} x^{5} + 210756 \, a^{6} b^{4} x^{4} + 120564 \, a^{7} b^{3} x^{3} + 41481 \, a^{8} b^{2} x^{2} + 7129 \, a^{9} b x + 252 \, a^{10} - 2520 \, {\left(b^{10} x^{10} + 9 \, a b^{9} x^{9} + 36 \, a^{2} b^{8} x^{8} + 84 \, a^{3} b^{7} x^{7} + 126 \, a^{4} b^{6} x^{6} + 126 \, a^{5} b^{5} x^{5} + 84 \, a^{6} b^{4} x^{4} + 36 \, a^{7} b^{3} x^{3} + 9 \, a^{8} b^{2} x^{2} + a^{9} b x\right)} \log\left(b x + a\right) + 2520 \, {\left(b^{10} x^{10} + 9 \, a b^{9} x^{9} + 36 \, a^{2} b^{8} x^{8} + 84 \, a^{3} b^{7} x^{7} + 126 \, a^{4} b^{6} x^{6} + 126 \, a^{5} b^{5} x^{5} + 84 \, a^{6} b^{4} x^{4} + 36 \, a^{7} b^{3} x^{3} + 9 \, a^{8} b^{2} x^{2} + a^{9} b x\right)} \log\left(x\right)}{252 \, {\left(a^{11} b^{9} x^{10} + 9 \, a^{12} b^{8} x^{9} + 36 \, a^{13} b^{7} x^{8} + 84 \, a^{14} b^{6} x^{7} + 126 \, a^{15} b^{5} x^{6} + 126 \, a^{16} b^{4} x^{5} + 84 \, a^{17} b^{3} x^{4} + 36 \, a^{18} b^{2} x^{3} + 9 \, a^{19} b x^{2} + a^{20} x\right)}}"," ",0,"-1/252*(2520*a*b^9*x^9 + 21420*a^2*b^8*x^8 + 80220*a^3*b^7*x^7 + 173250*a^4*b^6*x^6 + 236754*a^5*b^5*x^5 + 210756*a^6*b^4*x^4 + 120564*a^7*b^3*x^3 + 41481*a^8*b^2*x^2 + 7129*a^9*b*x + 252*a^10 - 2520*(b^10*x^10 + 9*a*b^9*x^9 + 36*a^2*b^8*x^8 + 84*a^3*b^7*x^7 + 126*a^4*b^6*x^6 + 126*a^5*b^5*x^5 + 84*a^6*b^4*x^4 + 36*a^7*b^3*x^3 + 9*a^8*b^2*x^2 + a^9*b*x)*log(b*x + a) + 2520*(b^10*x^10 + 9*a*b^9*x^9 + 36*a^2*b^8*x^8 + 84*a^3*b^7*x^7 + 126*a^4*b^6*x^6 + 126*a^5*b^5*x^5 + 84*a^6*b^4*x^4 + 36*a^7*b^3*x^3 + 9*a^8*b^2*x^2 + a^9*b*x)*log(x))/(a^11*b^9*x^10 + 9*a^12*b^8*x^9 + 36*a^13*b^7*x^8 + 84*a^14*b^6*x^7 + 126*a^15*b^5*x^6 + 126*a^16*b^4*x^5 + 84*a^17*b^3*x^4 + 36*a^18*b^2*x^3 + 9*a^19*b*x^2 + a^20*x)","B",0
237,1,438,0,0.609966," ","integrate(1/x^3/(b*x+a)^10,x, algorithm=""fricas"")","\frac{27720 \, a b^{10} x^{10} + 235620 \, a^{2} b^{9} x^{9} + 882420 \, a^{3} b^{8} x^{8} + 1905750 \, a^{4} b^{7} x^{7} + 2604294 \, a^{5} b^{6} x^{6} + 2318316 \, a^{6} b^{5} x^{5} + 1326204 \, a^{7} b^{4} x^{4} + 456291 \, a^{8} b^{3} x^{3} + 78419 \, a^{9} b^{2} x^{2} + 2772 \, a^{10} b x - 252 \, a^{11} - 27720 \, {\left(b^{11} x^{11} + 9 \, a b^{10} x^{10} + 36 \, a^{2} b^{9} x^{9} + 84 \, a^{3} b^{8} x^{8} + 126 \, a^{4} b^{7} x^{7} + 126 \, a^{5} b^{6} x^{6} + 84 \, a^{6} b^{5} x^{5} + 36 \, a^{7} b^{4} x^{4} + 9 \, a^{8} b^{3} x^{3} + a^{9} b^{2} x^{2}\right)} \log\left(b x + a\right) + 27720 \, {\left(b^{11} x^{11} + 9 \, a b^{10} x^{10} + 36 \, a^{2} b^{9} x^{9} + 84 \, a^{3} b^{8} x^{8} + 126 \, a^{4} b^{7} x^{7} + 126 \, a^{5} b^{6} x^{6} + 84 \, a^{6} b^{5} x^{5} + 36 \, a^{7} b^{4} x^{4} + 9 \, a^{8} b^{3} x^{3} + a^{9} b^{2} x^{2}\right)} \log\left(x\right)}{504 \, {\left(a^{12} b^{9} x^{11} + 9 \, a^{13} b^{8} x^{10} + 36 \, a^{14} b^{7} x^{9} + 84 \, a^{15} b^{6} x^{8} + 126 \, a^{16} b^{5} x^{7} + 126 \, a^{17} b^{4} x^{6} + 84 \, a^{18} b^{3} x^{5} + 36 \, a^{19} b^{2} x^{4} + 9 \, a^{20} b x^{3} + a^{21} x^{2}\right)}}"," ",0,"1/504*(27720*a*b^10*x^10 + 235620*a^2*b^9*x^9 + 882420*a^3*b^8*x^8 + 1905750*a^4*b^7*x^7 + 2604294*a^5*b^6*x^6 + 2318316*a^6*b^5*x^5 + 1326204*a^7*b^4*x^4 + 456291*a^8*b^3*x^3 + 78419*a^9*b^2*x^2 + 2772*a^10*b*x - 252*a^11 - 27720*(b^11*x^11 + 9*a*b^10*x^10 + 36*a^2*b^9*x^9 + 84*a^3*b^8*x^8 + 126*a^4*b^7*x^7 + 126*a^5*b^6*x^6 + 84*a^6*b^5*x^5 + 36*a^7*b^4*x^4 + 9*a^8*b^3*x^3 + a^9*b^2*x^2)*log(b*x + a) + 27720*(b^11*x^11 + 9*a*b^10*x^10 + 36*a^2*b^9*x^9 + 84*a^3*b^8*x^8 + 126*a^4*b^7*x^7 + 126*a^5*b^6*x^6 + 84*a^6*b^5*x^5 + 36*a^7*b^4*x^4 + 9*a^8*b^3*x^3 + a^9*b^2*x^2)*log(x))/(a^12*b^9*x^11 + 9*a^13*b^8*x^10 + 36*a^14*b^7*x^9 + 84*a^15*b^6*x^8 + 126*a^16*b^5*x^7 + 126*a^17*b^4*x^6 + 84*a^18*b^3*x^5 + 36*a^19*b^2*x^4 + 9*a^20*b*x^3 + a^21*x^2)","B",0
238,1,449,0,1.256731," ","integrate(1/x^4/(b*x+a)^10,x, algorithm=""fricas"")","-\frac{27720 \, a b^{11} x^{11} + 235620 \, a^{2} b^{10} x^{10} + 882420 \, a^{3} b^{9} x^{9} + 1905750 \, a^{4} b^{8} x^{8} + 2604294 \, a^{5} b^{7} x^{7} + 2318316 \, a^{6} b^{6} x^{6} + 1326204 \, a^{7} b^{5} x^{5} + 456291 \, a^{8} b^{4} x^{4} + 78419 \, a^{9} b^{3} x^{3} + 2772 \, a^{10} b^{2} x^{2} - 252 \, a^{11} b x + 42 \, a^{12} - 27720 \, {\left(b^{12} x^{12} + 9 \, a b^{11} x^{11} + 36 \, a^{2} b^{10} x^{10} + 84 \, a^{3} b^{9} x^{9} + 126 \, a^{4} b^{8} x^{8} + 126 \, a^{5} b^{7} x^{7} + 84 \, a^{6} b^{6} x^{6} + 36 \, a^{7} b^{5} x^{5} + 9 \, a^{8} b^{4} x^{4} + a^{9} b^{3} x^{3}\right)} \log\left(b x + a\right) + 27720 \, {\left(b^{12} x^{12} + 9 \, a b^{11} x^{11} + 36 \, a^{2} b^{10} x^{10} + 84 \, a^{3} b^{9} x^{9} + 126 \, a^{4} b^{8} x^{8} + 126 \, a^{5} b^{7} x^{7} + 84 \, a^{6} b^{6} x^{6} + 36 \, a^{7} b^{5} x^{5} + 9 \, a^{8} b^{4} x^{4} + a^{9} b^{3} x^{3}\right)} \log\left(x\right)}{126 \, {\left(a^{13} b^{9} x^{12} + 9 \, a^{14} b^{8} x^{11} + 36 \, a^{15} b^{7} x^{10} + 84 \, a^{16} b^{6} x^{9} + 126 \, a^{17} b^{5} x^{8} + 126 \, a^{18} b^{4} x^{7} + 84 \, a^{19} b^{3} x^{6} + 36 \, a^{20} b^{2} x^{5} + 9 \, a^{21} b x^{4} + a^{22} x^{3}\right)}}"," ",0,"-1/126*(27720*a*b^11*x^11 + 235620*a^2*b^10*x^10 + 882420*a^3*b^9*x^9 + 1905750*a^4*b^8*x^8 + 2604294*a^5*b^7*x^7 + 2318316*a^6*b^6*x^6 + 1326204*a^7*b^5*x^5 + 456291*a^8*b^4*x^4 + 78419*a^9*b^3*x^3 + 2772*a^10*b^2*x^2 - 252*a^11*b*x + 42*a^12 - 27720*(b^12*x^12 + 9*a*b^11*x^11 + 36*a^2*b^10*x^10 + 84*a^3*b^9*x^9 + 126*a^4*b^8*x^8 + 126*a^5*b^7*x^7 + 84*a^6*b^6*x^6 + 36*a^7*b^5*x^5 + 9*a^8*b^4*x^4 + a^9*b^3*x^3)*log(b*x + a) + 27720*(b^12*x^12 + 9*a*b^11*x^11 + 36*a^2*b^10*x^10 + 84*a^3*b^9*x^9 + 126*a^4*b^8*x^8 + 126*a^5*b^7*x^7 + 84*a^6*b^6*x^6 + 36*a^7*b^5*x^5 + 9*a^8*b^4*x^4 + a^9*b^3*x^3)*log(x))/(a^13*b^9*x^12 + 9*a^14*b^8*x^11 + 36*a^15*b^7*x^10 + 84*a^16*b^6*x^9 + 126*a^17*b^5*x^8 + 126*a^18*b^4*x^7 + 84*a^19*b^3*x^6 + 36*a^20*b^2*x^5 + 9*a^21*b*x^4 + a^22*x^3)","B",0
239,1,136,0,1.036195," ","integrate((b*x+a)^12/x^10,x, algorithm=""fricas"")","\frac{42 \, b^{12} x^{12} + 756 \, a b^{11} x^{11} + 8316 \, a^{2} b^{10} x^{10} + 27720 \, a^{3} b^{9} x^{9} \log\left(x\right) - 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,"1/126*(42*b^12*x^12 + 756*a*b^11*x^11 + 8316*a^2*b^10*x^10 + 27720*a^3*b^9*x^9*log(x) - 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
240,1,125,0,1.076172," ","integrate((b*x+a)^11/x^10,x, algorithm=""fricas"")","\frac{252 \, b^{11} x^{11} + 5544 \, a b^{10} x^{10} + 27720 \, a^{2} b^{9} x^{9} \log\left(x\right) - 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,"1/504*(252*b^11*x^11 + 5544*a*b^10*x^10 + 27720*a^2*b^9*x^9*log(x) - 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
241,1,114,0,1.045771," ","integrate((b*x+a)^10/x^10,x, algorithm=""fricas"")","\frac{252 \, b^{10} x^{10} + 2520 \, a b^{9} x^{9} \log\left(x\right) - 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,"1/252*(252*b^10*x^10 + 2520*a*b^9*x^9*log(x) - 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
242,1,103,0,0.947542," ","integrate((b*x+a)^9/x^10,x, algorithm=""fricas"")","\frac{2520 \, b^{9} x^{9} \log\left(x\right) - 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,"1/2520*(2520*b^9*x^9*log(x) - 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
243,1,88,0,0.777393," ","integrate((b*x+a)^8/x^10,x, algorithm=""fricas"")","-\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
244,1,79,0,0.863801," ","integrate((b*x+a)^7/x^10,x, algorithm=""fricas"")","-\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
245,1,68,0,1.131904," ","integrate((b*x+a)^6/x^10,x, algorithm=""fricas"")","-\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
246,1,57,0,1.111742," ","integrate((b*x+a)^5/x^10,x, algorithm=""fricas"")","-\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
247,1,46,0,0.807903," ","integrate((b*x+a)^4/x^10,x, algorithm=""fricas"")","-\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
248,1,35,0,0.992334," ","integrate((b*x+a)^3/x^10,x, algorithm=""fricas"")","-\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
249,1,24,0,1.085922," ","integrate((b*x+a)^2/x^10,x, algorithm=""fricas"")","-\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
250,1,13,0,0.833984," ","integrate((b*x+a)/x^10,x, algorithm=""fricas"")","-\frac{9 \, b x + 8 \, a}{72 \, x^{9}}"," ",0,"-1/72*(9*b*x + 8*a)/x^9","A",0
251,1,5,0,0.941619," ","integrate(1/x^10,x, algorithm=""fricas"")","-\frac{1}{9 \, x^{9}}"," ",0,"-1/9/x^9","A",0
252,1,120,0,0.864688," ","integrate(1/x^10/(b*x+a),x, algorithm=""fricas"")","\frac{2520 \, b^{9} x^{9} \log\left(b x + a\right) - 2520 \, b^{9} x^{9} \log\left(x\right) - 2520 \, a b^{8} x^{8} + 1260 \, a^{2} b^{7} x^{7} - 840 \, a^{3} b^{6} x^{6} + 630 \, a^{4} b^{5} x^{5} - 504 \, a^{5} b^{4} x^{4} + 420 \, a^{6} b^{3} x^{3} - 360 \, a^{7} b^{2} x^{2} + 315 \, a^{8} b x - 280 \, a^{9}}{2520 \, a^{10} x^{9}}"," ",0,"1/2520*(2520*b^9*x^9*log(b*x + a) - 2520*b^9*x^9*log(x) - 2520*a*b^8*x^8 + 1260*a^2*b^7*x^7 - 840*a^3*b^6*x^6 + 630*a^4*b^5*x^5 - 504*a^5*b^4*x^4 + 420*a^6*b^3*x^3 - 360*a^7*b^2*x^2 + 315*a^8*b*x - 280*a^9)/(a^10*x^9)","A",0
253,1,163,0,0.740675," ","integrate(1/x^10/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2520 \, a b^{9} x^{9} + 1260 \, a^{2} b^{8} x^{8} - 420 \, a^{3} b^{7} x^{7} + 210 \, a^{4} b^{6} x^{6} - 126 \, a^{5} b^{5} x^{5} + 84 \, a^{6} b^{4} x^{4} - 60 \, a^{7} b^{3} x^{3} + 45 \, a^{8} b^{2} x^{2} - 35 \, a^{9} b x + 28 \, a^{10} - 2520 \, {\left(b^{10} x^{10} + a b^{9} x^{9}\right)} \log\left(b x + a\right) + 2520 \, {\left(b^{10} x^{10} + a b^{9} x^{9}\right)} \log\left(x\right)}{252 \, {\left(a^{11} b x^{10} + a^{12} x^{9}\right)}}"," ",0,"-1/252*(2520*a*b^9*x^9 + 1260*a^2*b^8*x^8 - 420*a^3*b^7*x^7 + 210*a^4*b^6*x^6 - 126*a^5*b^5*x^5 + 84*a^6*b^4*x^4 - 60*a^7*b^3*x^3 + 45*a^8*b^2*x^2 - 35*a^9*b*x + 28*a^10 - 2520*(b^10*x^10 + a*b^9*x^9)*log(b*x + a) + 2520*(b^10*x^10 + a*b^9*x^9)*log(x))/(a^11*b*x^10 + a^12*x^9)","A",0
254,1,207,0,1.100433," ","integrate(1/x^10/(b*x+a)^3,x, algorithm=""fricas"")","-\frac{27720 \, a b^{10} x^{10} + 41580 \, a^{2} b^{9} x^{9} + 9240 \, a^{3} b^{8} x^{8} - 2310 \, a^{4} b^{7} x^{7} + 924 \, a^{5} b^{6} x^{6} - 462 \, a^{6} b^{5} x^{5} + 264 \, a^{7} b^{4} x^{4} - 165 \, a^{8} b^{3} x^{3} + 110 \, a^{9} b^{2} x^{2} - 77 \, a^{10} b x + 56 \, a^{11} - 27720 \, {\left(b^{11} x^{11} + 2 \, a b^{10} x^{10} + a^{2} b^{9} x^{9}\right)} \log\left(b x + a\right) + 27720 \, {\left(b^{11} x^{11} + 2 \, a b^{10} x^{10} + a^{2} b^{9} x^{9}\right)} \log\left(x\right)}{504 \, {\left(a^{12} b^{2} x^{11} + 2 \, a^{13} b x^{10} + a^{14} x^{9}\right)}}"," ",0,"-1/504*(27720*a*b^10*x^10 + 41580*a^2*b^9*x^9 + 9240*a^3*b^8*x^8 - 2310*a^4*b^7*x^7 + 924*a^5*b^6*x^6 - 462*a^6*b^5*x^5 + 264*a^7*b^4*x^4 - 165*a^8*b^3*x^3 + 110*a^9*b^2*x^2 - 77*a^10*b*x + 56*a^11 - 27720*(b^11*x^11 + 2*a*b^10*x^10 + a^2*b^9*x^9)*log(b*x + a) + 27720*(b^11*x^11 + 2*a*b^10*x^10 + a^2*b^9*x^9)*log(x))/(a^12*b^2*x^11 + 2*a^13*b*x^10 + a^14*x^9)","A",0
255,1,13,0,0.801201," ","integrate(1/x/(2+3*x),x, algorithm=""fricas"")","-\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
256,1,13,0,1.158583," ","integrate(1/x/(4+6*x),x, algorithm=""fricas"")","-\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
257,1,21,0,0.591332," ","integrate(1/x^2/(4+6*x),x, algorithm=""fricas"")","\frac{3 \, x \log\left(3 \, x + 2\right) - 3 \, x \log\left(x\right) - 2}{8 \, x}"," ",0,"1/8*(3*x*log(3*x + 2) - 3*x*log(x) - 2)/x","A",0
258,1,28,0,0.952883," ","integrate(1/x^3/(4+6*x),x, algorithm=""fricas"")","-\frac{9 \, x^{2} \log\left(3 \, x + 2\right) - 9 \, x^{2} \log\left(x\right) - 6 \, x + 2}{16 \, x^{2}}"," ",0,"-1/16*(9*x^2*log(3*x + 2) - 9*x^2*log(x) - 6*x + 2)/x^2","A",0
259,1,33,0,0.569584," ","integrate(1/x^4/(4+6*x),x, algorithm=""fricas"")","\frac{81 \, x^{3} \log\left(3 \, x + 2\right) - 81 \, x^{3} \log\left(x\right) - 54 \, x^{2} + 18 \, x - 8}{96 \, x^{3}}"," ",0,"1/96*(81*x^3*log(3*x + 2) - 81*x^3*log(x) - 54*x^2 + 18*x - 8)/x^3","A",0
260,1,38,0,0.742804," ","integrate(1/x^5/(4+6*x),x, algorithm=""fricas"")","-\frac{81 \, x^{4} \log\left(3 \, x + 2\right) - 81 \, x^{4} \log\left(x\right) - 54 \, x^{3} + 18 \, x^{2} - 8 \, x + 4}{64 \, x^{4}}"," ",0,"-1/64*(81*x^4*log(3*x + 2) - 81*x^4*log(x) - 54*x^3 + 18*x^2 - 8*x + 4)/x^4","A",0
261,1,32,0,0.854344," ","integrate(1/x/(4+6*x)^2,x, algorithm=""fricas"")","-\frac{{\left(3 \, x + 2\right)} \log\left(3 \, x + 2\right) - {\left(3 \, x + 2\right)} \log\left(x\right) - 2}{16 \, {\left(3 \, x + 2\right)}}"," ",0,"-1/16*((3*x + 2)*log(3*x + 2) - (3*x + 2)*log(x) - 2)/(3*x + 2)","A",0
262,1,48,0,1.191338," ","integrate(1/x^2/(4+6*x)^2,x, algorithm=""fricas"")","\frac{3 \, {\left(3 \, x^{2} + 2 \, x\right)} \log\left(3 \, x + 2\right) - 3 \, {\left(3 \, x^{2} + 2 \, x\right)} \log\left(x\right) - 6 \, x - 2}{16 \, {\left(3 \, x^{2} + 2 \, x\right)}}"," ",0,"1/16*(3*(3*x^2 + 2*x)*log(3*x + 2) - 3*(3*x^2 + 2*x)*log(x) - 6*x - 2)/(3*x^2 + 2*x)","A",0
263,1,59,0,1.070875," ","integrate(1/x^3/(4+6*x)^2,x, algorithm=""fricas"")","\frac{54 \, x^{2} - 27 \, {\left(3 \, x^{3} + 2 \, x^{2}\right)} \log\left(3 \, x + 2\right) + 27 \, {\left(3 \, x^{3} + 2 \, x^{2}\right)} \log\left(x\right) + 18 \, x - 4}{64 \, {\left(3 \, x^{3} + 2 \, x^{2}\right)}}"," ",0,"1/64*(54*x^2 - 27*(3*x^3 + 2*x^2)*log(3*x + 2) + 27*(3*x^3 + 2*x^2)*log(x) + 18*x - 4)/(3*x^3 + 2*x^2)","A",0
264,1,64,0,1.190586," ","integrate(1/x^4/(4+6*x)^2,x, algorithm=""fricas"")","-\frac{162 \, x^{3} + 54 \, x^{2} - 81 \, {\left(3 \, x^{4} + 2 \, x^{3}\right)} \log\left(3 \, x + 2\right) + 81 \, {\left(3 \, x^{4} + 2 \, x^{3}\right)} \log\left(x\right) - 12 \, x + 4}{96 \, {\left(3 \, x^{4} + 2 \, x^{3}\right)}}"," ",0,"-1/96*(162*x^3 + 54*x^2 - 81*(3*x^4 + 2*x^3)*log(3*x + 2) + 81*(3*x^4 + 2*x^3)*log(x) - 12*x + 4)/(3*x^4 + 2*x^3)","A",0
265,1,69,0,0.940589," ","integrate(1/x^5/(4+6*x)^2,x, algorithm=""fricas"")","\frac{810 \, x^{4} + 270 \, x^{3} - 60 \, x^{2} - 405 \, {\left(3 \, x^{5} + 2 \, x^{4}\right)} \log\left(3 \, x + 2\right) + 405 \, {\left(3 \, x^{5} + 2 \, x^{4}\right)} \log\left(x\right) + 20 \, x - 8}{256 \, {\left(3 \, x^{5} + 2 \, x^{4}\right)}}"," ",0,"1/256*(810*x^4 + 270*x^3 - 60*x^2 - 405*(3*x^5 + 2*x^4)*log(3*x + 2) + 405*(3*x^5 + 2*x^4)*log(x) + 20*x - 8)/(3*x^5 + 2*x^4)","A",0
266,1,50,0,1.080885," ","integrate(1/x/(4+6*x)^3,x, algorithm=""fricas"")","-\frac{{\left(9 \, x^{2} + 12 \, x + 4\right)} \log\left(3 \, x + 2\right) - {\left(9 \, x^{2} + 12 \, x + 4\right)} \log\left(x\right) - 6 \, x - 6}{64 \, {\left(9 \, x^{2} + 12 \, x + 4\right)}}"," ",0,"-1/64*((9*x^2 + 12*x + 4)*log(3*x + 2) - (9*x^2 + 12*x + 4)*log(x) - 6*x - 6)/(9*x^2 + 12*x + 4)","A",0
267,1,68,0,0.922832," ","integrate(1/x^2/(4+6*x)^3,x, algorithm=""fricas"")","-\frac{54 \, x^{2} - 9 \, {\left(9 \, x^{3} + 12 \, x^{2} + 4 \, x\right)} \log\left(3 \, x + 2\right) + 9 \, {\left(9 \, x^{3} + 12 \, x^{2} + 4 \, x\right)} \log\left(x\right) + 54 \, x + 8}{128 \, {\left(9 \, x^{3} + 12 \, x^{2} + 4 \, x\right)}}"," ",0,"-1/128*(54*x^2 - 9*(9*x^3 + 12*x^2 + 4*x)*log(3*x + 2) + 9*(9*x^3 + 12*x^2 + 4*x)*log(x) + 54*x + 8)/(9*x^3 + 12*x^2 + 4*x)","A",0
268,1,79,0,0.947897," ","integrate(1/x^3/(4+6*x)^3,x, algorithm=""fricas"")","\frac{162 \, x^{3} + 162 \, x^{2} - 27 \, {\left(9 \, x^{4} + 12 \, x^{3} + 4 \, x^{2}\right)} \log\left(3 \, x + 2\right) + 27 \, {\left(9 \, x^{4} + 12 \, x^{3} + 4 \, x^{2}\right)} \log\left(x\right) + 24 \, x - 4}{128 \, {\left(9 \, x^{4} + 12 \, x^{3} + 4 \, x^{2}\right)}}"," ",0,"1/128*(162*x^3 + 162*x^2 - 27*(9*x^4 + 12*x^3 + 4*x^2)*log(3*x + 2) + 27*(9*x^4 + 12*x^3 + 4*x^2)*log(x) + 24*x - 4)/(9*x^4 + 12*x^3 + 4*x^2)","A",0
269,1,84,0,0.752600," ","integrate(1/x^4/(4+6*x)^3,x, algorithm=""fricas"")","-\frac{2430 \, x^{4} + 2430 \, x^{3} + 360 \, x^{2} - 405 \, {\left(9 \, x^{5} + 12 \, x^{4} + 4 \, x^{3}\right)} \log\left(3 \, x + 2\right) + 405 \, {\left(9 \, x^{5} + 12 \, x^{4} + 4 \, x^{3}\right)} \log\left(x\right) - 60 \, x + 16}{768 \, {\left(9 \, x^{5} + 12 \, x^{4} + 4 \, x^{3}\right)}}"," ",0,"-1/768*(2430*x^4 + 2430*x^3 + 360*x^2 - 405*(9*x^5 + 12*x^4 + 4*x^3)*log(3*x + 2) + 405*(9*x^5 + 12*x^4 + 4*x^3)*log(x) - 60*x + 16)/(9*x^5 + 12*x^4 + 4*x^3)","A",0
270,1,89,0,0.986010," ","integrate(1/x^5/(4+6*x)^3,x, algorithm=""fricas"")","\frac{7290 \, x^{5} + 7290 \, x^{4} + 1080 \, x^{3} - 180 \, x^{2} - 1215 \, {\left(9 \, x^{6} + 12 \, x^{5} + 4 \, x^{4}\right)} \log\left(3 \, x + 2\right) + 1215 \, {\left(9 \, x^{6} + 12 \, x^{5} + 4 \, x^{4}\right)} \log\left(x\right) + 48 \, x - 16}{1024 \, {\left(9 \, x^{6} + 12 \, x^{5} + 4 \, x^{4}\right)}}"," ",0,"1/1024*(7290*x^5 + 7290*x^4 + 1080*x^3 - 180*x^2 - 1215*(9*x^6 + 12*x^5 + 4*x^4)*log(3*x + 2) + 1215*(9*x^6 + 12*x^5 + 4*x^4)*log(x) + 48*x - 16)/(9*x^6 + 12*x^5 + 4*x^4)","A",0
271,1,6,0,1.123261," ","integrate(1/(2*x+2),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*log(x + 1)","A",0
272,1,8,0,0.981837," ","integrate(1/(4-6*x),x, algorithm=""fricas"")","-\frac{1}{6} \, \log\left(3 \, x - 2\right)"," ",0,"-1/6*log(3*x - 2)","A",0
273,1,10,0,0.785136," ","integrate(1/(a+x*a^(1/2)),x, algorithm=""fricas"")","\frac{\log\left(x + \sqrt{a}\right)}{\sqrt{a}}"," ",0,"log(x + sqrt(a))/sqrt(a)","A",0
274,1,20,0,1.156402," ","integrate(1/(a+x*(-a)^(1/2)),x, algorithm=""fricas"")","-\frac{\sqrt{-a} \log\left(x - \sqrt{-a}\right)}{a}"," ",0,"-sqrt(-a)*log(x - sqrt(-a))/a","A",0
275,1,21,0,0.889428," ","integrate(1/(a^2+x*(-a)^(1/2)),x, algorithm=""fricas"")","-\frac{\sqrt{-a} \log\left(-\sqrt{-a} a + x\right)}{a}"," ",0,"-sqrt(-a)*log(-sqrt(-a)*a + x)/a","A",0
276,1,23,0,0.837365," ","integrate(1/(a^3+x*(-a)^(1/2)),x, algorithm=""fricas"")","-\frac{\sqrt{-a} \log\left(-\sqrt{-a} a^{2} + x\right)}{a}"," ",0,"-sqrt(-a)*log(-sqrt(-a)*a^2 + x)/a","A",0
277,1,24,0,0.871202," ","integrate(1/(1/a+x*(-a)^(1/2)),x, algorithm=""fricas"")","-\frac{\sqrt{-a} \log\left(a^{2} x - \sqrt{-a}\right)}{a}"," ",0,"-sqrt(-a)*log(a^2*x - sqrt(-a))/a","A",0
278,1,24,0,1.013347," ","integrate(1/(1/a^2+x*(-a)^(1/2)),x, algorithm=""fricas"")","-\frac{\sqrt{-a} \log\left(a^{3} x - \sqrt{-a}\right)}{a}"," ",0,"-sqrt(-a)*log(a^3*x - sqrt(-a))/a","A",0
279,1,11,0,0.767453," ","integrate(1/x/(b*x+1),x, algorithm=""fricas"")","-\log\left(b x + 1\right) + \log\left(x\right)"," ",0,"-log(b*x + 1) + log(x)","A",0
280,1,11,0,0.618695," ","integrate(1/x/(b*x-1),x, algorithm=""fricas"")","\log\left(b x - 1\right) - \log\left(x\right)"," ",0,"log(b*x - 1) - log(x)","A",0
281,1,21,0,0.932469," ","integrate(1/x^2/(b*x+1),x, algorithm=""fricas"")","\frac{b x \log\left(b x + 1\right) - b x \log\left(x\right) - 1}{x}"," ",0,"(b*x*log(b*x + 1) - b*x*log(x) - 1)/x","A",0
282,1,21,0,0.732144," ","integrate(1/x^2/(b*x-1),x, algorithm=""fricas"")","\frac{b x \log\left(b x - 1\right) - b x \log\left(x\right) + 1}{x}"," ",0,"(b*x*log(b*x - 1) - b*x*log(x) + 1)/x","A",0
283,1,15,0,0.879947," ","integrate(b/x+1/x^2/(b*x+1),x, algorithm=""fricas"")","\frac{b x \log\left(b x + 1\right) - 1}{x}"," ",0,"(b*x*log(b*x + 1) - 1)/x","A",0
284,1,53,0,1.357546," ","integrate(x^3*(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(35 \, b^{4} x^{4} + 5 \, a b^{3} x^{3} - 6 \, a^{2} b^{2} x^{2} + 8 \, a^{3} b x - 16 \, a^{4}\right)} \sqrt{b x + a}}{315 \, b^{4}}"," ",0,"2/315*(35*b^4*x^4 + 5*a*b^3*x^3 - 6*a^2*b^2*x^2 + 8*a^3*b*x - 16*a^4)*sqrt(b*x + a)/b^4","A",0
285,1,42,0,1.046938," ","integrate(x^2*(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(15 \, b^{3} x^{3} + 3 \, a b^{2} x^{2} - 4 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x + a}}{105 \, b^{3}}"," ",0,"2/105*(15*b^3*x^3 + 3*a*b^2*x^2 - 4*a^2*b*x + 8*a^3)*sqrt(b*x + a)/b^3","A",0
286,1,30,0,1.139736," ","integrate(x*(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x^{2} + a b x - 2 \, a^{2}\right)} \sqrt{b x + a}}{15 \, b^{2}}"," ",0,"2/15*(3*b^2*x^2 + a*b*x - 2*a^2)*sqrt(b*x + a)/b^2","A",0
287,1,12,0,1.114028," ","integrate((b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"2/3*(b*x + a)^(3/2)/b","A",0
288,1,73,0,1.114335," ","integrate((b*x+a)^(1/2)/x,x, algorithm=""fricas"")","\left[\sqrt{a} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, \sqrt{b x + a}, 2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + 2 \, \sqrt{b x + a}\right]"," ",0,"[sqrt(a)*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*sqrt(b*x + a), 2*sqrt(-a)*arctan(sqrt(b*x + a)*sqrt(-a)/a) + 2*sqrt(b*x + a)]","A",0
289,1,93,0,1.227191," ","integrate((b*x+a)^(1/2)/x^2,x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b x \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, \sqrt{b x + a} a}{2 \, a x}, \frac{\sqrt{-a} b x \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) - \sqrt{b x + a} a}{a x}\right]"," ",0,"[1/2*(sqrt(a)*b*x*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*sqrt(b*x + a)*a)/(a*x), (sqrt(-a)*b*x*arctan(sqrt(b*x + a)*sqrt(-a)/a) - sqrt(b*x + a)*a)/(a*x)]","A",0
290,1,119,0,0.979786," ","integrate((b*x+a)^(1/2)/x^3,x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b^{2} x^{2} \log\left(\frac{b x + 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, {\left(a b x + 2 \, a^{2}\right)} \sqrt{b x + a}}{8 \, a^{2} x^{2}}, -\frac{\sqrt{-a} b^{2} x^{2} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(a b x + 2 \, a^{2}\right)} \sqrt{b x + a}}{4 \, a^{2} x^{2}}\right]"," ",0,"[1/8*(sqrt(a)*b^2*x^2*log((b*x + 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*(a*b*x + 2*a^2)*sqrt(b*x + a))/(a^2*x^2), -1/4*(sqrt(-a)*b^2*x^2*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (a*b*x + 2*a^2)*sqrt(b*x + a))/(a^2*x^2)]","A",0
291,1,145,0,0.981715," ","integrate((b*x+a)^(1/2)/x^4,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{3} x^{3} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(3 \, a b^{2} x^{2} - 2 \, a^{2} b x - 8 \, a^{3}\right)} \sqrt{b x + a}}{48 \, a^{3} x^{3}}, \frac{3 \, \sqrt{-a} b^{3} x^{3} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(3 \, a b^{2} x^{2} - 2 \, a^{2} b x - 8 \, a^{3}\right)} \sqrt{b x + a}}{24 \, a^{3} x^{3}}\right]"," ",0,"[1/48*(3*sqrt(a)*b^3*x^3*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(3*a*b^2*x^2 - 2*a^2*b*x - 8*a^3)*sqrt(b*x + a))/(a^3*x^3), 1/24*(3*sqrt(-a)*b^3*x^3*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (3*a*b^2*x^2 - 2*a^2*b*x - 8*a^3)*sqrt(b*x + a))/(a^3*x^3)]","A",0
292,1,64,0,1.233681," ","integrate(x^3*(b*x+a)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(105 \, b^{5} x^{5} + 140 \, a b^{4} x^{4} + 5 \, a^{2} b^{3} x^{3} - 6 \, a^{3} b^{2} x^{2} + 8 \, a^{4} b x - 16 \, a^{5}\right)} \sqrt{b x + a}}{1155 \, b^{4}}"," ",0,"2/1155*(105*b^5*x^5 + 140*a*b^4*x^4 + 5*a^2*b^3*x^3 - 6*a^3*b^2*x^2 + 8*a^4*b*x - 16*a^5)*sqrt(b*x + a)/b^4","A",0
293,1,53,0,0.750938," ","integrate(x^2*(b*x+a)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(35 \, b^{4} x^{4} + 50 \, a b^{3} x^{3} + 3 \, a^{2} b^{2} x^{2} - 4 \, a^{3} b x + 8 \, a^{4}\right)} \sqrt{b x + a}}{315 \, b^{3}}"," ",0,"2/315*(35*b^4*x^4 + 50*a*b^3*x^3 + 3*a^2*b^2*x^2 - 4*a^3*b*x + 8*a^4)*sqrt(b*x + a)/b^3","A",0
294,1,41,0,0.809159," ","integrate(x*(b*x+a)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, b^{3} x^{3} + 8 \, a b^{2} x^{2} + a^{2} b x - 2 \, a^{3}\right)} \sqrt{b x + a}}{35 \, b^{2}}"," ",0,"2/35*(5*b^3*x^3 + 8*a*b^2*x^2 + a^2*b*x - 2*a^3)*sqrt(b*x + a)/b^2","A",0
295,1,28,0,0.613687," ","integrate((b*x+a)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{b x + a}}{5 \, b}"," ",0,"2/5*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(b*x + a)/b","B",0
296,1,88,0,1.137136," ","integrate((b*x+a)^(3/2)/x,x, algorithm=""fricas"")","\left[a^{\frac{3}{2}} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + \frac{2}{3} \, {\left(b x + 4 \, a\right)} \sqrt{b x + a}, 2 \, \sqrt{-a} a \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + \frac{2}{3} \, {\left(b x + 4 \, a\right)} \sqrt{b x + a}\right]"," ",0,"[a^(3/2)*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2/3*(b*x + 4*a)*sqrt(b*x + a), 2*sqrt(-a)*a*arctan(sqrt(b*x + a)*sqrt(-a)/a) + 2/3*(b*x + 4*a)*sqrt(b*x + a)]","A",0
297,1,102,0,1.041680," ","integrate((b*x+a)^(3/2)/x^2,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b x \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(2 \, b x - a\right)} \sqrt{b x + a}}{2 \, x}, \frac{3 \, \sqrt{-a} b x \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(2 \, b x - a\right)} \sqrt{b x + a}}{x}\right]"," ",0,"[1/2*(3*sqrt(a)*b*x*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(2*b*x - a)*sqrt(b*x + a))/x, (3*sqrt(-a)*b*x*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (2*b*x - a)*sqrt(b*x + a))/x]","A",0
298,1,124,0,1.117909," ","integrate((b*x+a)^(3/2)/x^3,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{2} x^{2} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, {\left(5 \, a b x + 2 \, a^{2}\right)} \sqrt{b x + a}}{8 \, a x^{2}}, \frac{3 \, \sqrt{-a} b^{2} x^{2} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) - {\left(5 \, a b x + 2 \, a^{2}\right)} \sqrt{b x + a}}{4 \, a x^{2}}\right]"," ",0,"[1/8*(3*sqrt(a)*b^2*x^2*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*(5*a*b*x + 2*a^2)*sqrt(b*x + a))/(a*x^2), 1/4*(3*sqrt(-a)*b^2*x^2*arctan(sqrt(b*x + a)*sqrt(-a)/a) - (5*a*b*x + 2*a^2)*sqrt(b*x + a))/(a*x^2)]","A",0
299,1,145,0,1.006380," ","integrate((b*x+a)^(3/2)/x^4,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{3} x^{3} \log\left(\frac{b x + 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, {\left(3 \, a b^{2} x^{2} + 14 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x + a}}{48 \, a^{2} x^{3}}, -\frac{3 \, \sqrt{-a} b^{3} x^{3} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(3 \, a b^{2} x^{2} + 14 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x + a}}{24 \, a^{2} x^{3}}\right]"," ",0,"[1/48*(3*sqrt(a)*b^3*x^3*log((b*x + 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*(3*a*b^2*x^2 + 14*a^2*b*x + 8*a^3)*sqrt(b*x + a))/(a^2*x^3), -1/24*(3*sqrt(-a)*b^3*x^3*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (3*a*b^2*x^2 + 14*a^2*b*x + 8*a^3)*sqrt(b*x + a))/(a^2*x^3)]","A",0
300,1,75,0,1.002780," ","integrate(x^3*(b*x+a)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(231 \, b^{6} x^{6} + 567 \, a b^{5} x^{5} + 371 \, a^{2} b^{4} x^{4} + 5 \, a^{3} b^{3} x^{3} - 6 \, a^{4} b^{2} x^{2} + 8 \, a^{5} b x - 16 \, a^{6}\right)} \sqrt{b x + a}}{3003 \, b^{4}}"," ",0,"2/3003*(231*b^6*x^6 + 567*a*b^5*x^5 + 371*a^2*b^4*x^4 + 5*a^3*b^3*x^3 - 6*a^4*b^2*x^2 + 8*a^5*b*x - 16*a^6)*sqrt(b*x + a)/b^4","A",0
301,1,64,0,1.166892," ","integrate(x^2*(b*x+a)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(63 \, b^{5} x^{5} + 161 \, a b^{4} x^{4} + 113 \, a^{2} b^{3} x^{3} + 3 \, a^{3} b^{2} x^{2} - 4 \, a^{4} b x + 8 \, a^{5}\right)} \sqrt{b x + a}}{693 \, b^{3}}"," ",0,"2/693*(63*b^5*x^5 + 161*a*b^4*x^4 + 113*a^2*b^3*x^3 + 3*a^3*b^2*x^2 - 4*a^4*b*x + 8*a^5)*sqrt(b*x + a)/b^3","A",0
302,1,52,0,1.103169," ","integrate(x*(b*x+a)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(7 \, b^{4} x^{4} + 19 \, a b^{3} x^{3} + 15 \, a^{2} b^{2} x^{2} + a^{3} b x - 2 \, a^{4}\right)} \sqrt{b x + a}}{63 \, b^{2}}"," ",0,"2/63*(7*b^4*x^4 + 19*a*b^3*x^3 + 15*a^2*b^2*x^2 + a^3*b*x - 2*a^4)*sqrt(b*x + a)/b^2","A",0
303,1,39,0,0.980342," ","integrate((b*x+a)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)} \sqrt{b x + a}}{7 \, b}"," ",0,"2/7*(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)*sqrt(b*x + a)/b","B",0
304,1,114,0,1.155016," ","integrate((b*x+a)^(5/2)/x,x, algorithm=""fricas"")","\left[a^{\frac{5}{2}} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + \frac{2}{15} \, {\left(3 \, b^{2} x^{2} + 11 \, a b x + 23 \, a^{2}\right)} \sqrt{b x + a}, 2 \, \sqrt{-a} a^{2} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + \frac{2}{15} \, {\left(3 \, b^{2} x^{2} + 11 \, a b x + 23 \, a^{2}\right)} \sqrt{b x + a}\right]"," ",0,"[a^(5/2)*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2/15*(3*b^2*x^2 + 11*a*b*x + 23*a^2)*sqrt(b*x + a), 2*sqrt(-a)*a^2*arctan(sqrt(b*x + a)*sqrt(-a)/a) + 2/15*(3*b^2*x^2 + 11*a*b*x + 23*a^2)*sqrt(b*x + a)]","A",0
305,1,126,0,0.803148," ","integrate((b*x+a)^(5/2)/x^2,x, algorithm=""fricas"")","\left[\frac{15 \, a^{\frac{3}{2}} b x \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(2 \, b^{2} x^{2} + 14 \, a b x - 3 \, a^{2}\right)} \sqrt{b x + a}}{6 \, x}, \frac{15 \, \sqrt{-a} a b x \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(2 \, b^{2} x^{2} + 14 \, a b x - 3 \, a^{2}\right)} \sqrt{b x + a}}{3 \, x}\right]"," ",0,"[1/6*(15*a^(3/2)*b*x*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(2*b^2*x^2 + 14*a*b*x - 3*a^2)*sqrt(b*x + a))/x, 1/3*(15*sqrt(-a)*a*b*x*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (2*b^2*x^2 + 14*a*b*x - 3*a^2)*sqrt(b*x + a))/x]","A",0
306,1,133,0,1.036529," ","integrate((b*x+a)^(5/2)/x^3,x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{a} b^{2} x^{2} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(8 \, b^{2} x^{2} - 9 \, a b x - 2 \, a^{2}\right)} \sqrt{b x + a}}{8 \, x^{2}}, \frac{15 \, \sqrt{-a} b^{2} x^{2} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(8 \, b^{2} x^{2} - 9 \, a b x - 2 \, a^{2}\right)} \sqrt{b x + a}}{4 \, x^{2}}\right]"," ",0,"[1/8*(15*sqrt(a)*b^2*x^2*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(8*b^2*x^2 - 9*a*b*x - 2*a^2)*sqrt(b*x + a))/x^2, 1/4*(15*sqrt(-a)*b^2*x^2*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (8*b^2*x^2 - 9*a*b*x - 2*a^2)*sqrt(b*x + a))/x^2]","A",0
307,1,146,0,0.994893," ","integrate((b*x+a)^(5/2)/x^4,x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{a} b^{3} x^{3} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, {\left(33 \, a b^{2} x^{2} + 26 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x + a}}{48 \, a x^{3}}, \frac{15 \, \sqrt{-a} b^{3} x^{3} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) - {\left(33 \, a b^{2} x^{2} + 26 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x + a}}{24 \, a x^{3}}\right]"," ",0,"[1/48*(15*sqrt(a)*b^3*x^3*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*(33*a*b^2*x^2 + 26*a^2*b*x + 8*a^3)*sqrt(b*x + a))/(a*x^3), 1/24*(15*sqrt(-a)*b^3*x^3*arctan(sqrt(b*x + a)*sqrt(-a)/a) - (33*a*b^2*x^2 + 26*a^2*b*x + 8*a^3)*sqrt(b*x + a))/(a*x^3)]","A",0
308,1,167,0,0.957876," ","integrate((b*x+a)^(5/2)/x^5,x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{a} b^{4} x^{4} \log\left(\frac{b x + 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, {\left(15 \, a b^{3} x^{3} + 118 \, a^{2} b^{2} x^{2} + 136 \, a^{3} b x + 48 \, a^{4}\right)} \sqrt{b x + a}}{384 \, a^{2} x^{4}}, -\frac{15 \, \sqrt{-a} b^{4} x^{4} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(15 \, a b^{3} x^{3} + 118 \, a^{2} b^{2} x^{2} + 136 \, a^{3} b x + 48 \, a^{4}\right)} \sqrt{b x + a}}{192 \, a^{2} x^{4}}\right]"," ",0,"[1/384*(15*sqrt(a)*b^4*x^4*log((b*x + 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*(15*a*b^3*x^3 + 118*a^2*b^2*x^2 + 136*a^3*b*x + 48*a^4)*sqrt(b*x + a))/(a^2*x^4), -1/192*(15*sqrt(-a)*b^4*x^4*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (15*a*b^3*x^3 + 118*a^2*b^2*x^2 + 136*a^3*b*x + 48*a^4)*sqrt(b*x + a))/(a^2*x^4)]","A",0
309,1,141,0,1.019679," ","integrate(x^7*(b*x+a)^(9/2),x, algorithm=""fricas"")","\frac{2 \, {\left(1062347 \, b^{12} x^{12} + 4665089 \, a b^{11} x^{11} + 7759752 \, a^{2} b^{10} x^{10} + 5810090 \, a^{3} b^{9} x^{9} + 1659515 \, a^{4} b^{8} x^{8} + 429 \, a^{5} b^{7} x^{7} - 462 \, a^{6} b^{6} x^{6} + 504 \, a^{7} b^{5} x^{5} - 560 \, a^{8} b^{4} x^{4} + 640 \, a^{9} b^{3} x^{3} - 768 \, a^{10} b^{2} x^{2} + 1024 \, a^{11} b x - 2048 \, a^{12}\right)} \sqrt{b x + a}}{26558675 \, b^{8}}"," ",0,"2/26558675*(1062347*b^12*x^12 + 4665089*a*b^11*x^11 + 7759752*a^2*b^10*x^10 + 5810090*a^3*b^9*x^9 + 1659515*a^4*b^8*x^8 + 429*a^5*b^7*x^7 - 462*a^6*b^6*x^6 + 504*a^7*b^5*x^5 - 560*a^8*b^4*x^4 + 640*a^9*b^3*x^3 - 768*a^10*b^2*x^2 + 1024*a^11*b*x - 2048*a^12)*sqrt(b*x + a)/b^8","A",0
310,1,130,0,0.727496," ","integrate(x^6*(b*x+a)^(9/2),x, algorithm=""fricas"")","\frac{2 \, {\left(323323 \, b^{11} x^{11} + 1431859 \, a b^{10} x^{10} + 2406690 \, a^{2} b^{9} x^{9} + 1826110 \, a^{3} b^{8} x^{8} + 530959 \, a^{4} b^{7} x^{7} + 231 \, a^{5} b^{6} x^{6} - 252 \, a^{6} b^{5} x^{5} + 280 \, a^{7} b^{4} x^{4} - 320 \, a^{8} b^{3} x^{3} + 384 \, a^{9} b^{2} x^{2} - 512 \, a^{10} b x + 1024 \, a^{11}\right)} \sqrt{b x + a}}{7436429 \, b^{7}}"," ",0,"2/7436429*(323323*b^11*x^11 + 1431859*a*b^10*x^10 + 2406690*a^2*b^9*x^9 + 1826110*a^3*b^8*x^8 + 530959*a^4*b^7*x^7 + 231*a^5*b^6*x^6 - 252*a^6*b^5*x^5 + 280*a^7*b^4*x^4 - 320*a^8*b^3*x^3 + 384*a^9*b^2*x^2 - 512*a^10*b*x + 1024*a^11)*sqrt(b*x + a)/b^7","A",0
311,1,119,0,0.910668," ","integrate(x^5*(b*x+a)^(9/2),x, algorithm=""fricas"")","\frac{2 \, {\left(46189 \, b^{10} x^{10} + 206635 \, a b^{9} x^{9} + 351780 \, a^{2} b^{8} x^{8} + 271414 \, a^{3} b^{7} x^{7} + 80773 \, a^{4} b^{6} x^{6} + 63 \, a^{5} b^{5} x^{5} - 70 \, a^{6} b^{4} x^{4} + 80 \, a^{7} b^{3} x^{3} - 96 \, a^{8} b^{2} x^{2} + 128 \, a^{9} b x - 256 \, a^{10}\right)} \sqrt{b x + a}}{969969 \, b^{6}}"," ",0,"2/969969*(46189*b^10*x^10 + 206635*a*b^9*x^9 + 351780*a^2*b^8*x^8 + 271414*a^3*b^7*x^7 + 80773*a^4*b^6*x^6 + 63*a^5*b^5*x^5 - 70*a^6*b^4*x^4 + 80*a^7*b^3*x^3 - 96*a^8*b^2*x^2 + 128*a^9*b*x - 256*a^10)*sqrt(b*x + a)/b^6","A",0
312,1,108,0,1.074257," ","integrate(x^4*(b*x+a)^(9/2),x, algorithm=""fricas"")","\frac{2 \, {\left(12155 \, b^{9} x^{9} + 55055 \, a b^{8} x^{8} + 95238 \, a^{2} b^{7} x^{7} + 75086 \, a^{3} b^{6} x^{6} + 23063 \, a^{4} b^{5} x^{5} + 35 \, a^{5} b^{4} x^{4} - 40 \, a^{6} b^{3} x^{3} + 48 \, a^{7} b^{2} x^{2} - 64 \, a^{8} b x + 128 \, a^{9}\right)} \sqrt{b x + a}}{230945 \, b^{5}}"," ",0,"2/230945*(12155*b^9*x^9 + 55055*a*b^8*x^8 + 95238*a^2*b^7*x^7 + 75086*a^3*b^6*x^6 + 23063*a^4*b^5*x^5 + 35*a^5*b^4*x^4 - 40*a^6*b^3*x^3 + 48*a^7*b^2*x^2 - 64*a^8*b*x + 128*a^9)*sqrt(b*x + a)/b^5","A",0
313,1,97,0,0.955462," ","integrate(x^3*(b*x+a)^(9/2),x, algorithm=""fricas"")","\frac{2 \, {\left(715 \, b^{8} x^{8} + 3289 \, a b^{7} x^{7} + 5808 \, a^{2} b^{6} x^{6} + 4714 \, a^{3} b^{5} x^{5} + 1515 \, a^{4} b^{4} x^{4} + 5 \, a^{5} b^{3} x^{3} - 6 \, a^{6} b^{2} x^{2} + 8 \, a^{7} b x - 16 \, a^{8}\right)} \sqrt{b x + a}}{12155 \, b^{4}}"," ",0,"2/12155*(715*b^8*x^8 + 3289*a*b^7*x^7 + 5808*a^2*b^6*x^6 + 4714*a^3*b^5*x^5 + 1515*a^4*b^4*x^4 + 5*a^5*b^3*x^3 - 6*a^6*b^2*x^2 + 8*a^7*b*x - 16*a^8)*sqrt(b*x + a)/b^4","A",0
314,1,86,0,0.955792," ","integrate(x^2*(b*x+a)^(9/2),x, algorithm=""fricas"")","\frac{2 \, {\left(143 \, b^{7} x^{7} + 671 \, a b^{6} x^{6} + 1218 \, a^{2} b^{5} x^{5} + 1030 \, a^{3} b^{4} x^{4} + 355 \, a^{4} b^{3} x^{3} + 3 \, a^{5} b^{2} x^{2} - 4 \, a^{6} b x + 8 \, a^{7}\right)} \sqrt{b x + a}}{2145 \, b^{3}}"," ",0,"2/2145*(143*b^7*x^7 + 671*a*b^6*x^6 + 1218*a^2*b^5*x^5 + 1030*a^3*b^4*x^4 + 355*a^4*b^3*x^3 + 3*a^5*b^2*x^2 - 4*a^6*b*x + 8*a^7)*sqrt(b*x + a)/b^3","B",0
315,1,74,0,0.717507," ","integrate(x*(b*x+a)^(9/2),x, algorithm=""fricas"")","\frac{2 \, {\left(11 \, b^{6} x^{6} + 53 \, a b^{5} x^{5} + 100 \, a^{2} b^{4} x^{4} + 90 \, a^{3} b^{3} x^{3} + 35 \, a^{4} b^{2} x^{2} + a^{5} b x - 2 \, a^{6}\right)} \sqrt{b x + a}}{143 \, b^{2}}"," ",0,"2/143*(11*b^6*x^6 + 53*a*b^5*x^5 + 100*a^2*b^4*x^4 + 90*a^3*b^3*x^3 + 35*a^4*b^2*x^2 + a^5*b*x - 2*a^6)*sqrt(b*x + a)/b^2","B",0
316,1,61,0,1.045917," ","integrate((b*x+a)^(9/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{5} x^{5} + 5 \, a b^{4} x^{4} + 10 \, a^{2} b^{3} x^{3} + 10 \, a^{3} b^{2} x^{2} + 5 \, a^{4} b x + a^{5}\right)} \sqrt{b x + a}}{11 \, b}"," ",0,"2/11*(b^5*x^5 + 5*a*b^4*x^4 + 10*a^2*b^3*x^3 + 10*a^3*b^2*x^2 + 5*a^4*b*x + a^5)*sqrt(b*x + a)/b","B",0
317,1,158,0,1.180373," ","integrate((b*x+a)^(9/2)/x,x, algorithm=""fricas"")","\left[a^{\frac{9}{2}} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + \frac{2}{315} \, {\left(35 \, b^{4} x^{4} + 185 \, a b^{3} x^{3} + 408 \, a^{2} b^{2} x^{2} + 506 \, a^{3} b x + 563 \, a^{4}\right)} \sqrt{b x + a}, 2 \, \sqrt{-a} a^{4} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + \frac{2}{315} \, {\left(35 \, b^{4} x^{4} + 185 \, a b^{3} x^{3} + 408 \, a^{2} b^{2} x^{2} + 506 \, a^{3} b x + 563 \, a^{4}\right)} \sqrt{b x + a}\right]"," ",0,"[a^(9/2)*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2/315*(35*b^4*x^4 + 185*a*b^3*x^3 + 408*a^2*b^2*x^2 + 506*a^3*b*x + 563*a^4)*sqrt(b*x + a), 2*sqrt(-a)*a^4*arctan(sqrt(b*x + a)*sqrt(-a)/a) + 2/315*(35*b^4*x^4 + 185*a*b^3*x^3 + 408*a^2*b^2*x^2 + 506*a^3*b*x + 563*a^4)*sqrt(b*x + a)]","A",0
318,1,172,0,0.857189," ","integrate((b*x+a)^(9/2)/x^2,x, algorithm=""fricas"")","\left[\frac{315 \, a^{\frac{7}{2}} b x \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(10 \, b^{4} x^{4} + 58 \, a b^{3} x^{3} + 156 \, a^{2} b^{2} x^{2} + 388 \, a^{3} b x - 35 \, a^{4}\right)} \sqrt{b x + a}}{70 \, x}, \frac{315 \, \sqrt{-a} a^{3} b x \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(10 \, b^{4} x^{4} + 58 \, a b^{3} x^{3} + 156 \, a^{2} b^{2} x^{2} + 388 \, a^{3} b x - 35 \, a^{4}\right)} \sqrt{b x + a}}{35 \, x}\right]"," ",0,"[1/70*(315*a^(7/2)*b*x*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(10*b^4*x^4 + 58*a*b^3*x^3 + 156*a^2*b^2*x^2 + 388*a^3*b*x - 35*a^4)*sqrt(b*x + a))/x, 1/35*(315*sqrt(-a)*a^3*b*x*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (10*b^4*x^4 + 58*a*b^3*x^3 + 156*a^2*b^2*x^2 + 388*a^3*b*x - 35*a^4)*sqrt(b*x + a))/x]","A",0
319,1,180,0,1.164982," ","integrate((b*x+a)^(9/2)/x^3,x, algorithm=""fricas"")","\left[\frac{315 \, a^{\frac{5}{2}} b^{2} x^{2} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(8 \, b^{4} x^{4} + 56 \, a b^{3} x^{3} + 288 \, a^{2} b^{2} x^{2} - 85 \, a^{3} b x - 10 \, a^{4}\right)} \sqrt{b x + a}}{40 \, x^{2}}, \frac{315 \, \sqrt{-a} a^{2} b^{2} x^{2} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(8 \, b^{4} x^{4} + 56 \, a b^{3} x^{3} + 288 \, a^{2} b^{2} x^{2} - 85 \, a^{3} b x - 10 \, a^{4}\right)} \sqrt{b x + a}}{20 \, x^{2}}\right]"," ",0,"[1/40*(315*a^(5/2)*b^2*x^2*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(8*b^4*x^4 + 56*a*b^3*x^3 + 288*a^2*b^2*x^2 - 85*a^3*b*x - 10*a^4)*sqrt(b*x + a))/x^2, 1/20*(315*sqrt(-a)*a^2*b^2*x^2*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (8*b^4*x^4 + 56*a*b^3*x^3 + 288*a^2*b^2*x^2 - 85*a^3*b*x - 10*a^4)*sqrt(b*x + a))/x^2]","A",0
320,1,178,0,0.926989," ","integrate((b*x+a)^(9/2)/x^4,x, algorithm=""fricas"")","\left[\frac{315 \, a^{\frac{3}{2}} b^{3} x^{3} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(16 \, b^{4} x^{4} + 208 \, a b^{3} x^{3} - 165 \, a^{2} b^{2} x^{2} - 50 \, a^{3} b x - 8 \, a^{4}\right)} \sqrt{b x + a}}{48 \, x^{3}}, \frac{315 \, \sqrt{-a} a b^{3} x^{3} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(16 \, b^{4} x^{4} + 208 \, a b^{3} x^{3} - 165 \, a^{2} b^{2} x^{2} - 50 \, a^{3} b x - 8 \, a^{4}\right)} \sqrt{b x + a}}{24 \, x^{3}}\right]"," ",0,"[1/48*(315*a^(3/2)*b^3*x^3*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(16*b^4*x^4 + 208*a*b^3*x^3 - 165*a^2*b^2*x^2 - 50*a^3*b*x - 8*a^4)*sqrt(b*x + a))/x^3, 1/24*(315*sqrt(-a)*a*b^3*x^3*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (16*b^4*x^4 + 208*a*b^3*x^3 - 165*a^2*b^2*x^2 - 50*a^3*b*x - 8*a^4)*sqrt(b*x + a))/x^3]","A",0
321,1,177,0,0.975307," ","integrate((b*x+a)^(9/2)/x^5,x, algorithm=""fricas"")","\left[\frac{315 \, \sqrt{a} b^{4} x^{4} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(128 \, b^{4} x^{4} - 325 \, a b^{3} x^{3} - 210 \, a^{2} b^{2} x^{2} - 88 \, a^{3} b x - 16 \, a^{4}\right)} \sqrt{b x + a}}{128 \, x^{4}}, \frac{315 \, \sqrt{-a} b^{4} x^{4} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(128 \, b^{4} x^{4} - 325 \, a b^{3} x^{3} - 210 \, a^{2} b^{2} x^{2} - 88 \, a^{3} b x - 16 \, a^{4}\right)} \sqrt{b x + a}}{64 \, x^{4}}\right]"," ",0,"[1/128*(315*sqrt(a)*b^4*x^4*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(128*b^4*x^4 - 325*a*b^3*x^3 - 210*a^2*b^2*x^2 - 88*a^3*b*x - 16*a^4)*sqrt(b*x + a))/x^4, 1/64*(315*sqrt(-a)*b^4*x^4*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (128*b^4*x^4 - 325*a*b^3*x^3 - 210*a^2*b^2*x^2 - 88*a^3*b*x - 16*a^4)*sqrt(b*x + a))/x^4]","A",0
322,1,190,0,0.900905," ","integrate((b*x+a)^(9/2)/x^6,x, algorithm=""fricas"")","\left[\frac{315 \, \sqrt{a} b^{5} x^{5} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, {\left(965 \, a b^{4} x^{4} + 1490 \, a^{2} b^{3} x^{3} + 1368 \, a^{3} b^{2} x^{2} + 656 \, a^{4} b x + 128 \, a^{5}\right)} \sqrt{b x + a}}{1280 \, a x^{5}}, \frac{315 \, \sqrt{-a} b^{5} x^{5} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) - {\left(965 \, a b^{4} x^{4} + 1490 \, a^{2} b^{3} x^{3} + 1368 \, a^{3} b^{2} x^{2} + 656 \, a^{4} b x + 128 \, a^{5}\right)} \sqrt{b x + a}}{640 \, a x^{5}}\right]"," ",0,"[1/1280*(315*sqrt(a)*b^5*x^5*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*(965*a*b^4*x^4 + 1490*a^2*b^3*x^3 + 1368*a^3*b^2*x^2 + 656*a^4*b*x + 128*a^5)*sqrt(b*x + a))/(a*x^5), 1/640*(315*sqrt(-a)*b^5*x^5*arctan(sqrt(b*x + a)*sqrt(-a)/a) - (965*a*b^4*x^4 + 1490*a^2*b^3*x^3 + 1368*a^3*b^2*x^2 + 656*a^4*b*x + 128*a^5)*sqrt(b*x + a))/(a*x^5)]","A",0
323,1,211,0,1.268548," ","integrate((b*x+a)^(9/2)/x^7,x, algorithm=""fricas"")","\left[\frac{315 \, \sqrt{a} b^{6} x^{6} \log\left(\frac{b x + 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, {\left(315 \, a b^{5} x^{5} + 4910 \, a^{2} b^{4} x^{4} + 11432 \, a^{3} b^{3} x^{3} + 12144 \, a^{4} b^{2} x^{2} + 6272 \, a^{5} b x + 1280 \, a^{6}\right)} \sqrt{b x + a}}{15360 \, a^{2} x^{6}}, -\frac{315 \, \sqrt{-a} b^{6} x^{6} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(315 \, a b^{5} x^{5} + 4910 \, a^{2} b^{4} x^{4} + 11432 \, a^{3} b^{3} x^{3} + 12144 \, a^{4} b^{2} x^{2} + 6272 \, a^{5} b x + 1280 \, a^{6}\right)} \sqrt{b x + a}}{7680 \, a^{2} x^{6}}\right]"," ",0,"[1/15360*(315*sqrt(a)*b^6*x^6*log((b*x + 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*(315*a*b^5*x^5 + 4910*a^2*b^4*x^4 + 11432*a^3*b^3*x^3 + 12144*a^4*b^2*x^2 + 6272*a^5*b*x + 1280*a^6)*sqrt(b*x + a))/(a^2*x^6), -1/7680*(315*sqrt(-a)*b^6*x^6*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (315*a*b^5*x^5 + 4910*a^2*b^4*x^4 + 11432*a^3*b^3*x^3 + 12144*a^4*b^2*x^2 + 6272*a^5*b*x + 1280*a^6)*sqrt(b*x + a))/(a^2*x^6)]","A",0
324,1,233,0,1.415366," ","integrate((b*x+a)^(9/2)/x^8,x, algorithm=""fricas"")","\left[\frac{315 \, \sqrt{a} b^{7} x^{7} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(315 \, a b^{6} x^{6} - 210 \, a^{2} b^{5} x^{5} - 14168 \, a^{3} b^{4} x^{4} - 39056 \, a^{4} b^{3} x^{3} - 44928 \, a^{5} b^{2} x^{2} - 24320 \, a^{6} b x - 5120 \, a^{7}\right)} \sqrt{b x + a}}{71680 \, a^{3} x^{7}}, \frac{315 \, \sqrt{-a} b^{7} x^{7} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(315 \, a b^{6} x^{6} - 210 \, a^{2} b^{5} x^{5} - 14168 \, a^{3} b^{4} x^{4} - 39056 \, a^{4} b^{3} x^{3} - 44928 \, a^{5} b^{2} x^{2} - 24320 \, a^{6} b x - 5120 \, a^{7}\right)} \sqrt{b x + a}}{35840 \, a^{3} x^{7}}\right]"," ",0,"[1/71680*(315*sqrt(a)*b^7*x^7*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(315*a*b^6*x^6 - 210*a^2*b^5*x^5 - 14168*a^3*b^4*x^4 - 39056*a^4*b^3*x^3 - 44928*a^5*b^2*x^2 - 24320*a^6*b*x - 5120*a^7)*sqrt(b*x + a))/(a^3*x^7), 1/35840*(315*sqrt(-a)*b^7*x^7*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (315*a*b^6*x^6 - 210*a^2*b^5*x^5 - 14168*a^3*b^4*x^4 - 39056*a^4*b^3*x^3 - 44928*a^5*b^2*x^2 - 24320*a^6*b*x - 5120*a^7)*sqrt(b*x + a))/(a^3*x^7)]","A",0
325,1,78,0,1.210412," ","integrate((b*x-a)^(1/2)/x,x, algorithm=""fricas"")","\left[\sqrt{-a} \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) + 2 \, \sqrt{b x - a}, -2 \, \sqrt{a} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + 2 \, \sqrt{b x - a}\right]"," ",0,"[sqrt(-a)*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) + 2*sqrt(b*x - a), -2*sqrt(a)*arctan(sqrt(b*x - a)/sqrt(a)) + 2*sqrt(b*x - a)]","A",0
326,1,98,0,0.998872," ","integrate((b*x-a)^(1/2)/x^2,x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a} b x \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) + 2 \, \sqrt{b x - a} a}{2 \, a x}, \frac{\sqrt{a} b x \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) - \sqrt{b x - a} a}{a x}\right]"," ",0,"[-1/2*(sqrt(-a)*b*x*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) + 2*sqrt(b*x - a)*a)/(a*x), (sqrt(a)*b*x*arctan(sqrt(b*x - a)/sqrt(a)) - sqrt(b*x - a)*a)/(a*x)]","A",0
327,1,124,0,1.091306," ","integrate((b*x-a)^(1/2)/x^3,x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a} b^{2} x^{2} \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) - 2 \, {\left(a b x - 2 \, a^{2}\right)} \sqrt{b x - a}}{8 \, a^{2} x^{2}}, \frac{\sqrt{a} b^{2} x^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + {\left(a b x - 2 \, a^{2}\right)} \sqrt{b x - a}}{4 \, a^{2} x^{2}}\right]"," ",0,"[-1/8*(sqrt(-a)*b^2*x^2*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) - 2*(a*b*x - 2*a^2)*sqrt(b*x - a))/(a^2*x^2), 1/4*(sqrt(a)*b^2*x^2*arctan(sqrt(b*x - a)/sqrt(a)) + (a*b*x - 2*a^2)*sqrt(b*x - a))/(a^2*x^2)]","A",0
328,1,93,0,0.913713," ","integrate((b*x-a)^(3/2)/x,x, algorithm=""fricas"")","\left[\sqrt{-a} a \log\left(\frac{b x + 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) + \frac{2}{3} \, \sqrt{b x - a} {\left(b x - 4 \, a\right)}, 2 \, a^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + \frac{2}{3} \, \sqrt{b x - a} {\left(b x - 4 \, a\right)}\right]"," ",0,"[sqrt(-a)*a*log((b*x + 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) + 2/3*sqrt(b*x - a)*(b*x - 4*a), 2*a^(3/2)*arctan(sqrt(b*x - a)/sqrt(a)) + 2/3*sqrt(b*x - a)*(b*x - 4*a)]","A",0
329,1,105,0,1.043419," ","integrate((b*x-a)^(3/2)/x^2,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{-a} b x \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) + 2 \, {\left(2 \, b x + a\right)} \sqrt{b x - a}}{2 \, x}, -\frac{3 \, \sqrt{a} b x \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) - {\left(2 \, b x + a\right)} \sqrt{b x - a}}{x}\right]"," ",0,"[1/2*(3*sqrt(-a)*b*x*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) + 2*(2*b*x + a)*sqrt(b*x - a))/x, -(3*sqrt(a)*b*x*arctan(sqrt(b*x - a)/sqrt(a)) - (2*b*x + a)*sqrt(b*x - a))/x]","A",0
330,1,129,0,1.038640," ","integrate((b*x-a)^(3/2)/x^3,x, algorithm=""fricas"")","\left[-\frac{3 \, \sqrt{-a} b^{2} x^{2} \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) + 2 \, {\left(5 \, a b x - 2 \, a^{2}\right)} \sqrt{b x - a}}{8 \, a x^{2}}, \frac{3 \, \sqrt{a} b^{2} x^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) - {\left(5 \, a b x - 2 \, a^{2}\right)} \sqrt{b x - a}}{4 \, a x^{2}}\right]"," ",0,"[-1/8*(3*sqrt(-a)*b^2*x^2*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) + 2*(5*a*b*x - 2*a^2)*sqrt(b*x - a))/(a*x^2), 1/4*(3*sqrt(a)*b^2*x^2*arctan(sqrt(b*x - a)/sqrt(a)) - (5*a*b*x - 2*a^2)*sqrt(b*x - a))/(a*x^2)]","A",0
331,1,119,0,1.162220," ","integrate((b*x-a)^(5/2)/x,x, algorithm=""fricas"")","\left[\sqrt{-a} a^{2} \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) + \frac{2}{15} \, {\left(3 \, b^{2} x^{2} - 11 \, a b x + 23 \, a^{2}\right)} \sqrt{b x - a}, -2 \, a^{\frac{5}{2}} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + \frac{2}{15} \, {\left(3 \, b^{2} x^{2} - 11 \, a b x + 23 \, a^{2}\right)} \sqrt{b x - a}\right]"," ",0,"[sqrt(-a)*a^2*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) + 2/15*(3*b^2*x^2 - 11*a*b*x + 23*a^2)*sqrt(b*x - a), -2*a^(5/2)*arctan(sqrt(b*x - a)/sqrt(a)) + 2/15*(3*b^2*x^2 - 11*a*b*x + 23*a^2)*sqrt(b*x - a)]","A",0
332,1,131,0,0.978156," ","integrate((b*x-a)^(5/2)/x^2,x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{-a} a b x \log\left(\frac{b x + 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) + 2 \, {\left(2 \, b^{2} x^{2} - 14 \, a b x - 3 \, a^{2}\right)} \sqrt{b x - a}}{6 \, x}, \frac{15 \, a^{\frac{3}{2}} b x \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + {\left(2 \, b^{2} x^{2} - 14 \, a b x - 3 \, a^{2}\right)} \sqrt{b x - a}}{3 \, x}\right]"," ",0,"[1/6*(15*sqrt(-a)*a*b*x*log((b*x + 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) + 2*(2*b^2*x^2 - 14*a*b*x - 3*a^2)*sqrt(b*x - a))/x, 1/3*(15*a^(3/2)*b*x*arctan(sqrt(b*x - a)/sqrt(a)) + (2*b^2*x^2 - 14*a*b*x - 3*a^2)*sqrt(b*x - a))/x]","A",0
333,1,139,0,0.898490," ","integrate((b*x-a)^(5/2)/x^3,x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{-a} b^{2} x^{2} \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) + 2 \, {\left(8 \, b^{2} x^{2} + 9 \, a b x - 2 \, a^{2}\right)} \sqrt{b x - a}}{8 \, x^{2}}, -\frac{15 \, \sqrt{a} b^{2} x^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) - {\left(8 \, b^{2} x^{2} + 9 \, a b x - 2 \, a^{2}\right)} \sqrt{b x - a}}{4 \, x^{2}}\right]"," ",0,"[1/8*(15*sqrt(-a)*b^2*x^2*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) + 2*(8*b^2*x^2 + 9*a*b*x - 2*a^2)*sqrt(b*x - a))/x^2, -1/4*(15*sqrt(a)*b^2*x^2*arctan(sqrt(b*x - a)/sqrt(a)) - (8*b^2*x^2 + 9*a*b*x - 2*a^2)*sqrt(b*x - a))/x^2]","A",0
334,1,53,0,0.718984," ","integrate(x^4/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(35 \, b^{4} x^{4} - 40 \, a b^{3} x^{3} + 48 \, a^{2} b^{2} x^{2} - 64 \, a^{3} b x + 128 \, a^{4}\right)} \sqrt{b x + a}}{315 \, b^{5}}"," ",0,"2/315*(35*b^4*x^4 - 40*a*b^3*x^3 + 48*a^2*b^2*x^2 - 64*a^3*b*x + 128*a^4)*sqrt(b*x + a)/b^5","A",0
335,1,42,0,1.039507," ","integrate(x^3/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, b^{3} x^{3} - 6 \, a b^{2} x^{2} + 8 \, a^{2} b x - 16 \, a^{3}\right)} \sqrt{b x + a}}{35 \, b^{4}}"," ",0,"2/35*(5*b^3*x^3 - 6*a*b^2*x^2 + 8*a^2*b*x - 16*a^3)*sqrt(b*x + a)/b^4","A",0
336,1,31,0,0.707436," ","integrate(x^2/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x^{2} - 4 \, a b x + 8 \, a^{2}\right)} \sqrt{b x + a}}{15 \, b^{3}}"," ",0,"2/15*(3*b^2*x^2 - 4*a*b*x + 8*a^2)*sqrt(b*x + a)/b^3","A",0
337,1,19,0,0.949484," ","integrate(x/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x + a} {\left(b x - 2 \, a\right)}}{3 \, b^{2}}"," ",0,"2/3*sqrt(b*x + a)*(b*x - 2*a)/b^2","A",0
338,1,12,0,0.937797," ","integrate(1/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x + a}}{b}"," ",0,"2*sqrt(b*x + a)/b","A",0
339,1,56,0,1.117383," ","integrate(1/x/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right)}{\sqrt{a}}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right)}{a}\right]"," ",0,"[log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x)/sqrt(a), 2*sqrt(-a)*arctan(sqrt(b*x + a)*sqrt(-a)/a)/a]","A",0
340,1,93,0,0.859734," ","integrate(1/x^2/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b x \log\left(\frac{b x + 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, \sqrt{b x + a} a}{2 \, a^{2} x}, -\frac{\sqrt{-a} b x \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + \sqrt{b x + a} a}{a^{2} x}\right]"," ",0,"[1/2*(sqrt(a)*b*x*log((b*x + 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*sqrt(b*x + a)*a)/(a^2*x), -(sqrt(-a)*b*x*arctan(sqrt(b*x + a)*sqrt(-a)/a) + sqrt(b*x + a)*a)/(a^2*x)]","A",0
341,1,123,0,1.124427," ","integrate(1/x^3/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{2} x^{2} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(3 \, a b x - 2 \, a^{2}\right)} \sqrt{b x + a}}{8 \, a^{3} x^{2}}, \frac{3 \, \sqrt{-a} b^{2} x^{2} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(3 \, a b x - 2 \, a^{2}\right)} \sqrt{b x + a}}{4 \, a^{3} x^{2}}\right]"," ",0,"[1/8*(3*sqrt(a)*b^2*x^2*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(3*a*b*x - 2*a^2)*sqrt(b*x + a))/(a^3*x^2), 1/4*(3*sqrt(-a)*b^2*x^2*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (3*a*b*x - 2*a^2)*sqrt(b*x + a))/(a^3*x^2)]","A",0
342,1,145,0,0.907381," ","integrate(1/x^4/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{a} b^{3} x^{3} \log\left(\frac{b x + 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, {\left(15 \, a b^{2} x^{2} - 10 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x + a}}{48 \, a^{4} x^{3}}, -\frac{15 \, \sqrt{-a} b^{3} x^{3} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(15 \, a b^{2} x^{2} - 10 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x + a}}{24 \, a^{4} x^{3}}\right]"," ",0,"[1/48*(15*sqrt(a)*b^3*x^3*log((b*x + 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*(15*a*b^2*x^2 - 10*a^2*b*x + 8*a^3)*sqrt(b*x + a))/(a^4*x^3), -1/24*(15*sqrt(-a)*b^3*x^3*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (15*a*b^2*x^2 - 10*a^2*b*x + 8*a^3)*sqrt(b*x + a))/(a^4*x^3)]","A",0
343,1,63,0,0.949368," ","integrate(x^4/(b*x+a)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, b^{4} x^{4} - 8 \, a b^{3} x^{3} + 16 \, a^{2} b^{2} x^{2} - 64 \, a^{3} b x - 128 \, a^{4}\right)} \sqrt{b x + a}}{35 \, {\left(b^{6} x + a b^{5}\right)}}"," ",0,"2/35*(5*b^4*x^4 - 8*a*b^3*x^3 + 16*a^2*b^2*x^2 - 64*a^3*b*x - 128*a^4)*sqrt(b*x + a)/(b^6*x + a*b^5)","A",0
344,1,51,0,0.953353," ","integrate(x^3/(b*x+a)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{3} x^{3} - 2 \, a b^{2} x^{2} + 8 \, a^{2} b x + 16 \, a^{3}\right)} \sqrt{b x + a}}{5 \, {\left(b^{5} x + a b^{4}\right)}}"," ",0,"2/5*(b^3*x^3 - 2*a*b^2*x^2 + 8*a^2*b*x + 16*a^3)*sqrt(b*x + a)/(b^5*x + a*b^4)","A",0
345,1,40,0,0.842611," ","integrate(x^2/(b*x+a)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} x^{2} - 4 \, a b x - 8 \, a^{2}\right)} \sqrt{b x + a}}{3 \, {\left(b^{4} x + a b^{3}\right)}}"," ",0,"2/3*(b^2*x^2 - 4*a*b*x - 8*a^2)*sqrt(b*x + a)/(b^4*x + a*b^3)","A",0
346,1,29,0,0.910936," ","integrate(x/(b*x+a)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b x + 2 \, a\right)} \sqrt{b x + a}}{b^{3} x + a b^{2}}"," ",0,"2*(b*x + 2*a)*sqrt(b*x + a)/(b^3*x + a*b^2)","A",0
347,1,20,0,0.742436," ","integrate(1/(b*x+a)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b x + a}}{b^{2} x + a b}"," ",0,"-2*sqrt(b*x + a)/(b^2*x + a*b)","A",0
348,1,110,0,1.028234," ","integrate(1/x/(b*x+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(b x + a\right)} \sqrt{a} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, \sqrt{b x + a} a}{a^{2} b x + a^{3}}, \frac{2 \, {\left({\left(b x + a\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + \sqrt{b x + a} a\right)}}{a^{2} b x + a^{3}}\right]"," ",0,"[((b*x + a)*sqrt(a)*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*sqrt(b*x + a)*a)/(a^2*b*x + a^3), 2*((b*x + a)*sqrt(-a)*arctan(sqrt(b*x + a)*sqrt(-a)/a) + sqrt(b*x + a)*a)/(a^2*b*x + a^3)]","A",0
349,1,151,0,1.170202," ","integrate(1/x^2/(b*x+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} x^{2} + a b x\right)} \sqrt{a} \log\left(\frac{b x + 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, {\left(3 \, a b x + a^{2}\right)} \sqrt{b x + a}}{2 \, {\left(a^{3} b x^{2} + a^{4} x\right)}}, -\frac{3 \, {\left(b^{2} x^{2} + a b x\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(3 \, a b x + a^{2}\right)} \sqrt{b x + a}}{a^{3} b x^{2} + a^{4} x}\right]"," ",0,"[1/2*(3*(b^2*x^2 + a*b*x)*sqrt(a)*log((b*x + 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*(3*a*b*x + a^2)*sqrt(b*x + a))/(a^3*b*x^2 + a^4*x), -(3*(b^2*x^2 + a*b*x)*sqrt(-a)*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (3*a*b*x + a^2)*sqrt(b*x + a))/(a^3*b*x^2 + a^4*x)]","A",0
350,1,189,0,1.073843," ","integrate(1/x^3/(b*x+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} \sqrt{a} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(15 \, a b^{2} x^{2} + 5 \, a^{2} b x - 2 \, a^{3}\right)} \sqrt{b x + a}}{8 \, {\left(a^{4} b x^{3} + a^{5} x^{2}\right)}}, \frac{15 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(15 \, a b^{2} x^{2} + 5 \, a^{2} b x - 2 \, a^{3}\right)} \sqrt{b x + a}}{4 \, {\left(a^{4} b x^{3} + a^{5} x^{2}\right)}}\right]"," ",0,"[1/8*(15*(b^3*x^3 + a*b^2*x^2)*sqrt(a)*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(15*a*b^2*x^2 + 5*a^2*b*x - 2*a^3)*sqrt(b*x + a))/(a^4*b*x^3 + a^5*x^2), 1/4*(15*(b^3*x^3 + a*b^2*x^2)*sqrt(-a)*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (15*a*b^2*x^2 + 5*a^2*b*x - 2*a^3)*sqrt(b*x + a))/(a^4*b*x^3 + a^5*x^2)]","A",0
351,1,74,0,0.995371," ","integrate(x^4/(b*x+a)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{4} x^{4} - 8 \, a b^{3} x^{3} + 48 \, a^{2} b^{2} x^{2} + 192 \, a^{3} b x + 128 \, a^{4}\right)} \sqrt{b x + a}}{15 \, {\left(b^{7} x^{2} + 2 \, a b^{6} x + a^{2} b^{5}\right)}}"," ",0,"2/15*(3*b^4*x^4 - 8*a*b^3*x^3 + 48*a^2*b^2*x^2 + 192*a^3*b*x + 128*a^4)*sqrt(b*x + a)/(b^7*x^2 + 2*a*b^6*x + a^2*b^5)","A",0
352,1,62,0,0.963635," ","integrate(x^3/(b*x+a)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{3} x^{3} - 6 \, a b^{2} x^{2} - 24 \, a^{2} b x - 16 \, a^{3}\right)} \sqrt{b x + a}}{3 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}}"," ",0,"2/3*(b^3*x^3 - 6*a*b^2*x^2 - 24*a^2*b*x - 16*a^3)*sqrt(b*x + a)/(b^6*x^2 + 2*a*b^5*x + a^2*b^4)","A",0
353,1,52,0,1.269441," ","integrate(x^2/(b*x+a)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x^{2} + 12 \, a b x + 8 \, a^{2}\right)} \sqrt{b x + a}}{3 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}"," ",0,"2/3*(3*b^2*x^2 + 12*a*b*x + 8*a^2)*sqrt(b*x + a)/(b^5*x^2 + 2*a*b^4*x + a^2*b^3)","A",0
354,1,41,0,0.988006," ","integrate(x/(b*x+a)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, b x + 2 \, a\right)} \sqrt{b x + a}}{3 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}}"," ",0,"-2/3*(3*b*x + 2*a)*sqrt(b*x + a)/(b^4*x^2 + 2*a*b^3*x + a^2*b^2)","A",0
355,1,31,0,0.912468," ","integrate(1/(b*x+a)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b x + a}}{3 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b\right)}}"," ",0,"-2/3*sqrt(b*x + a)/(b^3*x^2 + 2*a*b^2*x + a^2*b)","B",0
356,1,177,0,1.015743," ","integrate(1/x/(b*x+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{a} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(3 \, a b x + 4 \, a^{2}\right)} \sqrt{b x + a}}{3 \, {\left(a^{3} b^{2} x^{2} + 2 \, a^{4} b x + a^{5}\right)}}, \frac{2 \, {\left(3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(3 \, a b x + 4 \, a^{2}\right)} \sqrt{b x + a}\right)}}{3 \, {\left(a^{3} b^{2} x^{2} + 2 \, a^{4} b x + a^{5}\right)}}\right]"," ",0,"[1/3*(3*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(a)*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(3*a*b*x + 4*a^2)*sqrt(b*x + a))/(a^3*b^2*x^2 + 2*a^4*b*x + a^5), 2/3*(3*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(-a)*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (3*a*b*x + 4*a^2)*sqrt(b*x + a))/(a^3*b^2*x^2 + 2*a^4*b*x + a^5)]","B",0
357,1,221,0,1.132925," ","integrate(1/x^2/(b*x+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{3} x^{3} + 2 \, a b^{2} x^{2} + a^{2} b x\right)} \sqrt{a} \log\left(\frac{b x + 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, {\left(15 \, a b^{2} x^{2} + 20 \, a^{2} b x + 3 \, a^{3}\right)} \sqrt{b x + a}}{6 \, {\left(a^{4} b^{2} x^{3} + 2 \, a^{5} b x^{2} + a^{6} x\right)}}, -\frac{15 \, {\left(b^{3} x^{3} + 2 \, a b^{2} x^{2} + a^{2} b x\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(15 \, a b^{2} x^{2} + 20 \, a^{2} b x + 3 \, a^{3}\right)} \sqrt{b x + a}}{3 \, {\left(a^{4} b^{2} x^{3} + 2 \, a^{5} b x^{2} + a^{6} x\right)}}\right]"," ",0,"[1/6*(15*(b^3*x^3 + 2*a*b^2*x^2 + a^2*b*x)*sqrt(a)*log((b*x + 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*(15*a*b^2*x^2 + 20*a^2*b*x + 3*a^3)*sqrt(b*x + a))/(a^4*b^2*x^3 + 2*a^5*b*x^2 + a^6*x), -1/3*(15*(b^3*x^3 + 2*a*b^2*x^2 + a^2*b*x)*sqrt(-a)*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (15*a*b^2*x^2 + 20*a^2*b*x + 3*a^3)*sqrt(b*x + a))/(a^4*b^2*x^3 + 2*a^5*b*x^2 + a^6*x)]","A",0
358,1,255,0,1.152055," ","integrate(1/x^3/(b*x+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{3} + a^{2} b^{2} x^{2}\right)} \sqrt{a} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, {\left(105 \, a b^{3} x^{3} + 140 \, a^{2} b^{2} x^{2} + 21 \, a^{3} b x - 6 \, a^{4}\right)} \sqrt{b x + a}}{24 \, {\left(a^{5} b^{2} x^{4} + 2 \, a^{6} b x^{3} + a^{7} x^{2}\right)}}, \frac{105 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{3} + a^{2} b^{2} x^{2}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + {\left(105 \, a b^{3} x^{3} + 140 \, a^{2} b^{2} x^{2} + 21 \, a^{3} b x - 6 \, a^{4}\right)} \sqrt{b x + a}}{12 \, {\left(a^{5} b^{2} x^{4} + 2 \, a^{6} b x^{3} + a^{7} x^{2}\right)}}\right]"," ",0,"[1/24*(105*(b^4*x^4 + 2*a*b^3*x^3 + a^2*b^2*x^2)*sqrt(a)*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*(105*a*b^3*x^3 + 140*a^2*b^2*x^2 + 21*a^3*b*x - 6*a^4)*sqrt(b*x + a))/(a^5*b^2*x^4 + 2*a^6*b*x^3 + a^7*x^2), 1/12*(105*(b^4*x^4 + 2*a*b^3*x^3 + a^2*b^2*x^2)*sqrt(-a)*arctan(sqrt(b*x + a)*sqrt(-a)/a) + (105*a*b^3*x^3 + 140*a^2*b^2*x^2 + 21*a^3*b*x - 6*a^4)*sqrt(b*x + a))/(a^5*b^2*x^4 + 2*a^6*b*x^3 + a^7*x^2)]","A",0
359,1,58,0,1.400316," ","integrate(1/x/(b*x-a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a} \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right)}{a}, \frac{2 \, \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{\sqrt{a}}\right]"," ",0,"[-sqrt(-a)*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x)/a, 2*arctan(sqrt(b*x - a)/sqrt(a))/sqrt(a)]","A",0
360,1,97,0,0.908149," ","integrate(1/x^2/(b*x-a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a} b x \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) - 2 \, \sqrt{b x - a} a}{2 \, a^{2} x}, \frac{\sqrt{a} b x \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + \sqrt{b x - a} a}{a^{2} x}\right]"," ",0,"[-1/2*(sqrt(-a)*b*x*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) - 2*sqrt(b*x - a)*a)/(a^2*x), (sqrt(a)*b*x*arctan(sqrt(b*x - a)/sqrt(a)) + sqrt(b*x - a)*a)/(a^2*x)]","A",0
361,1,128,0,1.364316," ","integrate(1/x^3/(b*x-a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{3 \, \sqrt{-a} b^{2} x^{2} \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) - 2 \, {\left(3 \, a b x + 2 \, a^{2}\right)} \sqrt{b x - a}}{8 \, a^{3} x^{2}}, \frac{3 \, \sqrt{a} b^{2} x^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + {\left(3 \, a b x + 2 \, a^{2}\right)} \sqrt{b x - a}}{4 \, a^{3} x^{2}}\right]"," ",0,"[-1/8*(3*sqrt(-a)*b^2*x^2*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) - 2*(3*a*b*x + 2*a^2)*sqrt(b*x - a))/(a^3*x^2), 1/4*(3*sqrt(a)*b^2*x^2*arctan(sqrt(b*x - a)/sqrt(a)) + (3*a*b*x + 2*a^2)*sqrt(b*x - a))/(a^3*x^2)]","A",0
362,1,124,0,1.264604," ","integrate(1/x/(b*x-a)^(3/2),x, algorithm=""fricas"")","\left[-\frac{{\left(b x - a\right)} \sqrt{-a} \log\left(\frac{b x + 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) + 2 \, \sqrt{b x - a} a}{a^{2} b x - a^{3}}, -\frac{2 \, {\left({\left(b x - a\right)} \sqrt{a} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + \sqrt{b x - a} a\right)}}{a^{2} b x - a^{3}}\right]"," ",0,"[-((b*x - a)*sqrt(-a)*log((b*x + 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) + 2*sqrt(b*x - a)*a)/(a^2*b*x - a^3), -2*((b*x - a)*sqrt(a)*arctan(sqrt(b*x - a)/sqrt(a)) + sqrt(b*x - a)*a)/(a^2*b*x - a^3)]","A",0
363,1,164,0,0.870222," ","integrate(1/x^2/(b*x-a)^(3/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(b^{2} x^{2} - a b x\right)} \sqrt{-a} \log\left(\frac{b x + 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) + 2 \, {\left(3 \, a b x - a^{2}\right)} \sqrt{b x - a}}{2 \, {\left(a^{3} b x^{2} - a^{4} x\right)}}, -\frac{3 \, {\left(b^{2} x^{2} - a b x\right)} \sqrt{a} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + {\left(3 \, a b x - a^{2}\right)} \sqrt{b x - a}}{a^{3} b x^{2} - a^{4} x}\right]"," ",0,"[-1/2*(3*(b^2*x^2 - a*b*x)*sqrt(-a)*log((b*x + 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) + 2*(3*a*b*x - a^2)*sqrt(b*x - a))/(a^3*b*x^2 - a^4*x), -(3*(b^2*x^2 - a*b*x)*sqrt(a)*arctan(sqrt(b*x - a)/sqrt(a)) + (3*a*b*x - a^2)*sqrt(b*x - a))/(a^3*b*x^2 - a^4*x)]","A",0
364,1,198,0,0.893742," ","integrate(1/x^3/(b*x-a)^(3/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(b^{3} x^{3} - a b^{2} x^{2}\right)} \sqrt{-a} \log\left(\frac{b x + 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) + 2 \, {\left(15 \, a b^{2} x^{2} - 5 \, a^{2} b x - 2 \, a^{3}\right)} \sqrt{b x - a}}{8 \, {\left(a^{4} b x^{3} - a^{5} x^{2}\right)}}, -\frac{15 \, {\left(b^{3} x^{3} - a b^{2} x^{2}\right)} \sqrt{a} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + {\left(15 \, a b^{2} x^{2} - 5 \, a^{2} b x - 2 \, a^{3}\right)} \sqrt{b x - a}}{4 \, {\left(a^{4} b x^{3} - a^{5} x^{2}\right)}}\right]"," ",0,"[-1/8*(15*(b^3*x^3 - a*b^2*x^2)*sqrt(-a)*log((b*x + 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) + 2*(15*a*b^2*x^2 - 5*a^2*b*x - 2*a^3)*sqrt(b*x - a))/(a^4*b*x^3 - a^5*x^2), -1/4*(15*(b^3*x^3 - a*b^2*x^2)*sqrt(a)*arctan(sqrt(b*x - a)/sqrt(a)) + (15*a*b^2*x^2 - 5*a^2*b*x - 2*a^3)*sqrt(b*x - a))/(a^4*b*x^3 - a^5*x^2)]","A",0
365,1,182,0,0.846668," ","integrate(1/x/(b*x-a)^(5/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \sqrt{-a} \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) - 2 \, {\left(3 \, a b x - 4 \, a^{2}\right)} \sqrt{b x - a}}{3 \, {\left(a^{3} b^{2} x^{2} - 2 \, a^{4} b x + a^{5}\right)}}, \frac{2 \, {\left(3 \, {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \sqrt{a} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + {\left(3 \, a b x - 4 \, a^{2}\right)} \sqrt{b x - a}\right)}}{3 \, {\left(a^{3} b^{2} x^{2} - 2 \, a^{4} b x + a^{5}\right)}}\right]"," ",0,"[-1/3*(3*(b^2*x^2 - 2*a*b*x + a^2)*sqrt(-a)*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) - 2*(3*a*b*x - 4*a^2)*sqrt(b*x - a))/(a^3*b^2*x^2 - 2*a^4*b*x + a^5), 2/3*(3*(b^2*x^2 - 2*a*b*x + a^2)*sqrt(a)*arctan(sqrt(b*x - a)/sqrt(a)) + (3*a*b*x - 4*a^2)*sqrt(b*x - a))/(a^3*b^2*x^2 - 2*a^4*b*x + a^5)]","A",0
366,1,226,0,0.826857," ","integrate(1/x^2/(b*x-a)^(5/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(b^{3} x^{3} - 2 \, a b^{2} x^{2} + a^{2} b x\right)} \sqrt{-a} \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) - 2 \, {\left(15 \, a b^{2} x^{2} - 20 \, a^{2} b x + 3 \, a^{3}\right)} \sqrt{b x - a}}{6 \, {\left(a^{4} b^{2} x^{3} - 2 \, a^{5} b x^{2} + a^{6} x\right)}}, \frac{15 \, {\left(b^{3} x^{3} - 2 \, a b^{2} x^{2} + a^{2} b x\right)} \sqrt{a} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + {\left(15 \, a b^{2} x^{2} - 20 \, a^{2} b x + 3 \, a^{3}\right)} \sqrt{b x - a}}{3 \, {\left(a^{4} b^{2} x^{3} - 2 \, a^{5} b x^{2} + a^{6} x\right)}}\right]"," ",0,"[-1/6*(15*(b^3*x^3 - 2*a*b^2*x^2 + a^2*b*x)*sqrt(-a)*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) - 2*(15*a*b^2*x^2 - 20*a^2*b*x + 3*a^3)*sqrt(b*x - a))/(a^4*b^2*x^3 - 2*a^5*b*x^2 + a^6*x), 1/3*(15*(b^3*x^3 - 2*a*b^2*x^2 + a^2*b*x)*sqrt(a)*arctan(sqrt(b*x - a)/sqrt(a)) + (15*a*b^2*x^2 - 20*a^2*b*x + 3*a^3)*sqrt(b*x - a))/(a^4*b^2*x^3 - 2*a^5*b*x^2 + a^6*x)]","A",0
367,1,260,0,0.962754," ","integrate(1/x^3/(b*x-a)^(5/2),x, algorithm=""fricas"")","\left[-\frac{105 \, {\left(b^{4} x^{4} - 2 \, a b^{3} x^{3} + a^{2} b^{2} x^{2}\right)} \sqrt{-a} \log\left(\frac{b x - 2 \, \sqrt{b x - a} \sqrt{-a} - 2 \, a}{x}\right) - 2 \, {\left(105 \, a b^{3} x^{3} - 140 \, a^{2} b^{2} x^{2} + 21 \, a^{3} b x + 6 \, a^{4}\right)} \sqrt{b x - a}}{24 \, {\left(a^{5} b^{2} x^{4} - 2 \, a^{6} b x^{3} + a^{7} x^{2}\right)}}, \frac{105 \, {\left(b^{4} x^{4} - 2 \, a b^{3} x^{3} + a^{2} b^{2} x^{2}\right)} \sqrt{a} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + {\left(105 \, a b^{3} x^{3} - 140 \, a^{2} b^{2} x^{2} + 21 \, a^{3} b x + 6 \, a^{4}\right)} \sqrt{b x - a}}{12 \, {\left(a^{5} b^{2} x^{4} - 2 \, a^{6} b x^{3} + a^{7} x^{2}\right)}}\right]"," ",0,"[-1/24*(105*(b^4*x^4 - 2*a*b^3*x^3 + a^2*b^2*x^2)*sqrt(-a)*log((b*x - 2*sqrt(b*x - a)*sqrt(-a) - 2*a)/x) - 2*(105*a*b^3*x^3 - 140*a^2*b^2*x^2 + 21*a^3*b*x + 6*a^4)*sqrt(b*x - a))/(a^5*b^2*x^4 - 2*a^6*b*x^3 + a^7*x^2), 1/12*(105*(b^4*x^4 - 2*a*b^3*x^3 + a^2*b^2*x^2)*sqrt(a)*arctan(sqrt(b*x - a)/sqrt(a)) + (105*a*b^3*x^3 - 140*a^2*b^2*x^2 + 21*a^3*b*x + 6*a^4)*sqrt(b*x - a))/(a^5*b^2*x^4 - 2*a^6*b*x^3 + a^7*x^2)]","A",0
368,1,14,0,0.906542," ","integrate(1/2*x^(-1+m)*(2*a*m+b*(-1+2*m)*x)/(b*x+a)^(3/2),x, algorithm=""fricas"")","\frac{x x^{m - 1}}{\sqrt{b x + a}}"," ",0,"x*x^(m - 1)/sqrt(b*x + a)","A",0
369,1,11,0,0.943252," ","integrate(-1/2*b*x^m/(b*x+a)^(3/2)+m*x^(-1+m)/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{x^{m}}{\sqrt{b x + a}}"," ",0,"x^m/sqrt(b*x + a)","A",0
370,1,56,0,1.113906," ","integrate(1/x/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right)}{\sqrt{a}}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right)}{a}\right]"," ",0,"[log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x)/sqrt(a), 2*sqrt(-a)*arctan(sqrt(b*x + a)*sqrt(-a)/a)/a]","A",0
371,1,53,0,0.835441," ","integrate(x^3*(b*x+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(140 \, b^{4} x^{4} + 14 \, a b^{3} x^{3} - 18 \, a^{2} b^{2} x^{2} + 27 \, a^{3} b x - 81 \, a^{4}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{1820 \, b^{4}}"," ",0,"3/1820*(140*b^4*x^4 + 14*a*b^3*x^3 - 18*a^2*b^2*x^2 + 27*a^3*b*x - 81*a^4)*(b*x + a)^(1/3)/b^4","A",0
372,1,42,0,0.861212," ","integrate(x^2*(b*x+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(14 \, b^{3} x^{3} + 2 \, a b^{2} x^{2} - 3 \, a^{2} b x + 9 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{140 \, b^{3}}"," ",0,"3/140*(14*b^3*x^3 + 2*a*b^2*x^2 - 3*a^2*b*x + 9*a^3)*(b*x + a)^(1/3)/b^3","A",0
373,1,30,0,0.910918," ","integrate(x*(b*x+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(4 \, b^{2} x^{2} + a b x - 3 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{28 \, b^{2}}"," ",0,"3/28*(4*b^2*x^2 + a*b*x - 3*a^2)*(b*x + a)^(1/3)/b^2","A",0
374,1,12,0,0.958558," ","integrate((b*x+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x + a\right)}^{\frac{4}{3}}}{4 \, b}"," ",0,"3/4*(b*x + a)^(4/3)/b","A",0
375,1,91,0,1.080724," ","integrate((b*x+a)^(1/3)/x,x, algorithm=""fricas"")","-\sqrt{3} a^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + \sqrt{3} a}{3 \, a}\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*(2*sqrt(3)*(b*x + a)^(1/3)*a^(2/3) + sqrt(3)*a)/a) - 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
376,1,139,0,0.756404," ","integrate((b*x+a)^(1/3)/x^2,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(a^{2}\right)}^{\frac{1}{6}} a b x \arctan\left(\frac{{\left(a^{2}\right)}^{\frac{1}{6}} {\left(\sqrt{3} {\left(a^{2}\right)}^{\frac{1}{3}} a + 2 \, \sqrt{3} {\left(a^{2}\right)}^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right)}}{3 \, a^{2}}\right) + {\left(a^{2}\right)}^{\frac{2}{3}} b x \log\left({\left(b x + a\right)}^{\frac{2}{3}} a + {\left(a^{2}\right)}^{\frac{1}{3}} a + {\left(a^{2}\right)}^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right) - 2 \, {\left(a^{2}\right)}^{\frac{2}{3}} b x \log\left({\left(b x + a\right)}^{\frac{1}{3}} a - {\left(a^{2}\right)}^{\frac{2}{3}}\right) + 6 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{2}}{6 \, a^{2} x}"," ",0,"-1/6*(2*sqrt(3)*(a^2)^(1/6)*a*b*x*arctan(1/3*(a^2)^(1/6)*(sqrt(3)*(a^2)^(1/3)*a + 2*sqrt(3)*(a^2)^(2/3)*(b*x + a)^(1/3))/a^2) + (a^2)^(2/3)*b*x*log((b*x + a)^(2/3)*a + (a^2)^(1/3)*a + (a^2)^(2/3)*(b*x + a)^(1/3)) - 2*(a^2)^(2/3)*b*x*log((b*x + a)^(1/3)*a - (a^2)^(2/3)) + 6*(b*x + a)^(1/3)*a^2)/(a^2*x)","A",0
377,1,187,0,0.979221," ","integrate((b*x+a)^(1/3)/x^3,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} a b^{2} x^{2} \sqrt{-\left(-a^{2}\right)^{\frac{1}{3}}} \arctan\left(-\frac{{\left(\sqrt{3} \left(-a^{2}\right)^{\frac{1}{3}} a - 2 \, \sqrt{3} \left(-a^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right)} \sqrt{-\left(-a^{2}\right)^{\frac{1}{3}}}}{3 \, a^{2}}\right) + \left(-a^{2}\right)^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} a - \left(-a^{2}\right)^{\frac{1}{3}} a + \left(-a^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right) - 2 \, \left(-a^{2}\right)^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} a - \left(-a^{2}\right)^{\frac{2}{3}}\right) - 3 \, {\left(a^{2} b x + 3 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{18 \, a^{3} x^{2}}"," ",0,"1/18*(2*sqrt(3)*a*b^2*x^2*sqrt(-(-a^2)^(1/3))*arctan(-1/3*(sqrt(3)*(-a^2)^(1/3)*a - 2*sqrt(3)*(-a^2)^(2/3)*(b*x + a)^(1/3))*sqrt(-(-a^2)^(1/3))/a^2) + (-a^2)^(2/3)*b^2*x^2*log((b*x + a)^(2/3)*a - (-a^2)^(1/3)*a + (-a^2)^(2/3)*(b*x + a)^(1/3)) - 2*(-a^2)^(2/3)*b^2*x^2*log((b*x + a)^(1/3)*a - (-a^2)^(2/3)) - 3*(a^2*b*x + 3*a^3)*(b*x + a)^(1/3))/(a^3*x^2)","A",0
378,1,53,0,0.820844," ","integrate(x^3*(b*x+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(220 \, b^{4} x^{4} + 40 \, a b^{3} x^{3} - 45 \, a^{2} b^{2} x^{2} + 54 \, a^{3} b x - 81 \, a^{4}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{3080 \, b^{4}}"," ",0,"3/3080*(220*b^4*x^4 + 40*a*b^3*x^3 - 45*a^2*b^2*x^2 + 54*a^3*b*x - 81*a^4)*(b*x + a)^(2/3)/b^4","A",0
379,1,42,0,0.654221," ","integrate(x^2*(b*x+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(20 \, b^{3} x^{3} + 5 \, a b^{2} x^{2} - 6 \, a^{2} b x + 9 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{220 \, b^{3}}"," ",0,"3/220*(20*b^3*x^3 + 5*a*b^2*x^2 - 6*a^2*b*x + 9*a^3)*(b*x + a)^(2/3)/b^3","A",0
380,1,31,0,0.819076," ","integrate(x*(b*x+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, b^{2} x^{2} + 2 \, a b x - 3 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{40 \, b^{2}}"," ",0,"3/40*(5*b^2*x^2 + 2*a*b*x - 3*a^2)*(b*x + a)^(2/3)/b^2","A",0
381,1,12,0,0.840520," ","integrate((b*x+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x + a\right)}^{\frac{5}{3}}}{5 \, b}"," ",0,"3/5*(b*x + a)^(5/3)/b","A",0
382,1,110,0,0.921656," ","integrate((b*x+a)^(2/3)/x,x, algorithm=""fricas"")","\sqrt{3} {\left(a^{2}\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} a + 2 \, \sqrt{3} {\left(a^{2}\right)}^{\frac{1}{3}} {\left(b x + a\right)}^{\frac{1}{3}}}{3 \, a}\right) - \frac{1}{2} \, {\left(a^{2}\right)}^{\frac{1}{3}} \log\left({\left(b x + a\right)}^{\frac{2}{3}} a + {\left(a^{2}\right)}^{\frac{1}{3}} a + {\left(a^{2}\right)}^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right) + {\left(a^{2}\right)}^{\frac{1}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} a - {\left(a^{2}\right)}^{\frac{2}{3}}\right) + \frac{3}{2} \, {\left(b x + a\right)}^{\frac{2}{3}}"," ",0,"sqrt(3)*(a^2)^(1/3)*arctan(1/3*(sqrt(3)*a + 2*sqrt(3)*(a^2)^(1/3)*(b*x + a)^(1/3))/a) - 1/2*(a^2)^(1/3)*log((b*x + a)^(2/3)*a + (a^2)^(1/3)*a + (a^2)^(2/3)*(b*x + a)^(1/3)) + (a^2)^(1/3)*log((b*x + a)^(1/3)*a - (a^2)^(2/3)) + 3/2*(b*x + a)^(2/3)","A",0
383,1,252,0,0.994617," ","integrate((b*x+a)^(2/3)/x^2,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a b x \sqrt{-\frac{1}{a^{\frac{2}{3}}}} \log\left(\frac{2 \, b x + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} a - a^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} - 3 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + 3 \, a}{x}\right) - a^{\frac{2}{3}} b x \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}} b x \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) - 3 \, {\left(b x + a\right)}^{\frac{2}{3}} a}{3 \, a x}, \frac{6 \, \sqrt{\frac{1}{3}} a^{\frac{2}{3}} b x \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{a^{\frac{1}{3}}}\right) - a^{\frac{2}{3}} b x \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}} b x \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) - 3 \, {\left(b x + a\right)}^{\frac{2}{3}} a}{3 \, a x}\right]"," ",0,"[1/3*(3*sqrt(1/3)*a*b*x*sqrt(-1/a^(2/3))*log((2*b*x + 3*sqrt(1/3)*(2*(b*x + a)^(2/3)*a^(2/3) - (b*x + a)^(1/3)*a - a^(4/3))*sqrt(-1/a^(2/3)) - 3*(b*x + a)^(1/3)*a^(2/3) + 3*a)/x) - a^(2/3)*b*x*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + 2*a^(2/3)*b*x*log((b*x + a)^(1/3) - a^(1/3)) - 3*(b*x + a)^(2/3)*a)/(a*x), 1/3*(6*sqrt(1/3)*a^(2/3)*b*x*arctan(sqrt(1/3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3)) - a^(2/3)*b*x*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + 2*a^(2/3)*b*x*log((b*x + a)^(1/3) - a^(1/3)) - 3*(b*x + a)^(2/3)*a)/(a*x)]","A",0
384,1,350,0,0.938128," ","integrate((b*x+a)^(2/3)/x^3,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a b^{2} x^{2} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b x - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{2}{3}} \left(-a\right)^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} a + \left(-a\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} - 3 \, {\left(b x + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{2}{3}} + 3 \, a}{x}\right) + \left(-a\right)^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) - 2 \, \left(-a\right)^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right) - 3 \, {\left(2 \, a b x + 3 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{18 \, a^{2} x^{2}}, -\frac{6 \, \sqrt{\frac{1}{3}} a b^{2} x^{2} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \arctan\left(\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}}\right) - \left(-a\right)^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) + 2 \, \left(-a\right)^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right) + 3 \, {\left(2 \, a b x + 3 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{18 \, a^{2} x^{2}}\right]"," ",0,"[1/18*(3*sqrt(1/3)*a*b^2*x^2*sqrt((-a)^(1/3)/a)*log((2*b*x - 3*sqrt(1/3)*(2*(b*x + a)^(2/3)*(-a)^(2/3) - (b*x + a)^(1/3)*a + (-a)^(1/3)*a)*sqrt((-a)^(1/3)/a) - 3*(b*x + a)^(1/3)*(-a)^(2/3) + 3*a)/x) + (-a)^(2/3)*b^2*x^2*log((b*x + a)^(2/3) - (b*x + a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) - 2*(-a)^(2/3)*b^2*x^2*log((b*x + a)^(1/3) + (-a)^(1/3)) - 3*(2*a*b*x + 3*a^2)*(b*x + a)^(2/3))/(a^2*x^2), -1/18*(6*sqrt(1/3)*a*b^2*x^2*sqrt(-(-a)^(1/3)/a)*arctan(sqrt(1/3)*(2*(b*x + a)^(1/3) - (-a)^(1/3))*sqrt(-(-a)^(1/3)/a)) - (-a)^(2/3)*b^2*x^2*log((b*x + a)^(2/3) - (b*x + a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) + 2*(-a)^(2/3)*b^2*x^2*log((b*x + a)^(1/3) + (-a)^(1/3)) + 3*(2*a*b*x + 3*a^2)*(b*x + a)^(2/3))/(a^2*x^2)]","A",0
385,1,64,0,0.916526," ","integrate(x^3*(b*x+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(455 \, b^{5} x^{5} + 595 \, a b^{4} x^{4} + 14 \, a^{2} b^{3} x^{3} - 18 \, a^{3} b^{2} x^{2} + 27 \, a^{4} b x - 81 \, a^{5}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{7280 \, b^{4}}"," ",0,"3/7280*(455*b^5*x^5 + 595*a*b^4*x^4 + 14*a^2*b^3*x^3 - 18*a^3*b^2*x^2 + 27*a^4*b*x - 81*a^5)*(b*x + a)^(1/3)/b^4","A",0
386,1,53,0,0.770721," ","integrate(x^2*(b*x+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(35 \, b^{4} x^{4} + 49 \, a b^{3} x^{3} + 2 \, a^{2} b^{2} x^{2} - 3 \, a^{3} b x + 9 \, a^{4}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{455 \, b^{3}}"," ",0,"3/455*(35*b^4*x^4 + 49*a*b^3*x^3 + 2*a^2*b^2*x^2 - 3*a^3*b*x + 9*a^4)*(b*x + a)^(1/3)/b^3","A",0
387,1,41,0,1.174891," ","integrate(x*(b*x+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(7 \, b^{3} x^{3} + 11 \, a b^{2} x^{2} + a^{2} b x - 3 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{70 \, b^{2}}"," ",0,"3/70*(7*b^3*x^3 + 11*a*b^2*x^2 + a^2*b*x - 3*a^3)*(b*x + a)^(1/3)/b^2","A",0
388,1,28,0,0.863763," ","integrate((b*x+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{7 \, b}"," ",0,"3/7*(b^2*x^2 + 2*a*b*x + a^2)*(b*x + a)^(1/3)/b","B",0
389,1,98,0,0.659723," ","integrate((b*x+a)^(4/3)/x,x, algorithm=""fricas"")","-\sqrt{3} a^{\frac{4}{3}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + \sqrt{3} a}{3 \, a}\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 + 5 \, a\right)} {\left(b x + a\right)}^{\frac{1}{3}}"," ",0,"-sqrt(3)*a^(4/3)*arctan(1/3*(2*sqrt(3)*(b*x + a)^(1/3)*a^(2/3) + sqrt(3)*a)/a) - 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 + 5*a)*(b*x + a)^(1/3)","A",0
390,1,111,0,0.715292," ","integrate((b*x+a)^(4/3)/x^2,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} a^{\frac{1}{3}} b x \arctan\left(\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + \sqrt{3} a}{3 \, a}\right) + 2 \, a^{\frac{1}{3}} b x \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) - 4 \, a^{\frac{1}{3}} b x \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) - 3 \, {\left(3 \, b x - a\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{3 \, x}"," ",0,"-1/3*(4*sqrt(3)*a^(1/3)*b*x*arctan(1/3*(2*sqrt(3)*(b*x + a)^(1/3)*a^(2/3) + sqrt(3)*a)/a) + 2*a^(1/3)*b*x*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) - 4*a^(1/3)*b*x*log((b*x + a)^(1/3) - a^(1/3)) - 3*(3*b*x - a)*(b*x + a)^(1/3))/x","A",0
391,1,162,0,0.984543," ","integrate((b*x+a)^(4/3)/x^3,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} {\left(a^{2}\right)}^{\frac{1}{6}} a b^{2} x^{2} \arctan\left(\frac{{\left(a^{2}\right)}^{\frac{1}{6}} {\left(\sqrt{3} {\left(a^{2}\right)}^{\frac{1}{3}} a + 2 \, \sqrt{3} {\left(a^{2}\right)}^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right)}}{3 \, a^{2}}\right) + 2 \, {\left(a^{2}\right)}^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} a + {\left(a^{2}\right)}^{\frac{1}{3}} a + {\left(a^{2}\right)}^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right) - 4 \, {\left(a^{2}\right)}^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} a - {\left(a^{2}\right)}^{\frac{2}{3}}\right) + 3 \, {\left(7 \, a^{2} b x + 3 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{18 \, a^{2} x^{2}}"," ",0,"-1/18*(4*sqrt(3)*(a^2)^(1/6)*a*b^2*x^2*arctan(1/3*(a^2)^(1/6)*(sqrt(3)*(a^2)^(1/3)*a + 2*sqrt(3)*(a^2)^(2/3)*(b*x + a)^(1/3))/a^2) + 2*(a^2)^(2/3)*b^2*x^2*log((b*x + a)^(2/3)*a + (a^2)^(1/3)*a + (a^2)^(2/3)*(b*x + a)^(1/3)) - 4*(a^2)^(2/3)*b^2*x^2*log((b*x + a)^(1/3)*a - (a^2)^(2/3)) + 3*(7*a^2*b*x + 3*a^3)*(b*x + a)^(1/3))/(a^2*x^2)","A",0
392,1,42,0,0.869179," ","integrate(x^3/(b*x+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(40 \, b^{3} x^{3} - 45 \, a b^{2} x^{2} + 54 \, a^{2} b x - 81 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{440 \, b^{4}}"," ",0,"3/440*(40*b^3*x^3 - 45*a*b^2*x^2 + 54*a^2*b*x - 81*a^3)*(b*x + a)^(2/3)/b^4","A",0
393,1,31,0,0.756906," ","integrate(x^2/(b*x+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, b^{2} x^{2} - 6 \, a b x + 9 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{40 \, b^{3}}"," ",0,"3/40*(5*b^2*x^2 - 6*a*b*x + 9*a^2)*(b*x + a)^(2/3)/b^3","A",0
394,1,20,0,0.846142," ","integrate(x/(b*x+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, b x - 3 \, a\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{10 \, b^{2}}"," ",0,"3/10*(2*b*x - 3*a)*(b*x + a)^(2/3)/b^2","A",0
395,1,12,0,0.988789," ","integrate(1/(b*x+a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}}}{2 \, b}"," ",0,"3/2*(b*x + a)^(2/3)/b","A",0
396,1,213,0,0.869519," ","integrate(1/x/(b*x+a)^(1/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} a \sqrt{-\frac{1}{a^{\frac{2}{3}}}} \log\left(\frac{2 \, b x + \sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} a - a^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} - 3 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + 3 \, a}{x}\right) - 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) + 2 \, a^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{2 \, a}, \frac{2 \, \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) - 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) + 2 \, a^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{2 \, a}\right]"," ",0,"[1/2*(sqrt(3)*a*sqrt(-1/a^(2/3))*log((2*b*x + sqrt(3)*(2*(b*x + a)^(2/3)*a^(2/3) - (b*x + a)^(1/3)*a - a^(4/3))*sqrt(-1/a^(2/3)) - 3*(b*x + a)^(1/3)*a^(2/3) + 3*a)/x) - a^(2/3)*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + 2*a^(2/3)*log((b*x + a)^(1/3) - a^(1/3)))/a, 1/2*(2*sqrt(3)*a^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3)) - a^(2/3)*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + 2*a^(2/3)*log((b*x + a)^(1/3) - a^(1/3)))/a]","A",0
397,1,306,0,0.893969," ","integrate(1/x^2/(b*x+a)^(1/3),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a b x \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b x - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{2}{3}} \left(-a\right)^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} a + \left(-a\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} - 3 \, {\left(b x + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{2}{3}} + 3 \, a}{x}\right) + \left(-a\right)^{\frac{2}{3}} b x \log\left({\left(b x + a\right)}^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) - 2 \, \left(-a\right)^{\frac{2}{3}} b x \log\left({\left(b x + a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right) - 6 \, {\left(b x + a\right)}^{\frac{2}{3}} a}{6 \, a^{2} x}, -\frac{6 \, \sqrt{\frac{1}{3}} a b x \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \arctan\left(\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}}\right) - \left(-a\right)^{\frac{2}{3}} b x \log\left({\left(b x + a\right)}^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) + 2 \, \left(-a\right)^{\frac{2}{3}} b x \log\left({\left(b x + a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right) + 6 \, {\left(b x + a\right)}^{\frac{2}{3}} a}{6 \, a^{2} x}\right]"," ",0,"[1/6*(3*sqrt(1/3)*a*b*x*sqrt((-a)^(1/3)/a)*log((2*b*x - 3*sqrt(1/3)*(2*(b*x + a)^(2/3)*(-a)^(2/3) - (b*x + a)^(1/3)*a + (-a)^(1/3)*a)*sqrt((-a)^(1/3)/a) - 3*(b*x + a)^(1/3)*(-a)^(2/3) + 3*a)/x) + (-a)^(2/3)*b*x*log((b*x + a)^(2/3) - (b*x + a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) - 2*(-a)^(2/3)*b*x*log((b*x + a)^(1/3) + (-a)^(1/3)) - 6*(b*x + a)^(2/3)*a)/(a^2*x), -1/6*(6*sqrt(1/3)*a*b*x*sqrt(-(-a)^(1/3)/a)*arctan(sqrt(1/3)*(2*(b*x + a)^(1/3) - (-a)^(1/3))*sqrt(-(-a)^(1/3)/a)) - (-a)^(2/3)*b*x*log((b*x + a)^(2/3) - (b*x + a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) + 2*(-a)^(2/3)*b*x*log((b*x + a)^(1/3) + (-a)^(1/3)) + 6*(b*x + a)^(2/3)*a)/(a^2*x)]","A",0
398,1,296,0,0.955342," ","integrate(1/x^3/(b*x+a)^(1/3),x, algorithm=""fricas"")","\left[\frac{6 \, \sqrt{\frac{1}{3}} a b^{2} x^{2} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} \log\left(\frac{2 \, b x + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} a - a^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} - 3 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + 3 \, a}{x}\right) - 2 \, a^{\frac{2}{3}} b^{2} x^{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) + 4 \, a^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + 3 \, {\left(4 \, a b x - 3 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{18 \, a^{3} x^{2}}, \frac{12 \, \sqrt{\frac{1}{3}} a^{\frac{2}{3}} b^{2} x^{2} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{a^{\frac{1}{3}}}\right) - 2 \, a^{\frac{2}{3}} b^{2} x^{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) + 4 \, a^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + 3 \, {\left(4 \, a b x - 3 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{18 \, a^{3} x^{2}}\right]"," ",0,"[1/18*(6*sqrt(1/3)*a*b^2*x^2*sqrt(-1/a^(2/3))*log((2*b*x + 3*sqrt(1/3)*(2*(b*x + a)^(2/3)*a^(2/3) - (b*x + a)^(1/3)*a - a^(4/3))*sqrt(-1/a^(2/3)) - 3*(b*x + a)^(1/3)*a^(2/3) + 3*a)/x) - 2*a^(2/3)*b^2*x^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + 4*a^(2/3)*b^2*x^2*log((b*x + a)^(1/3) - a^(1/3)) + 3*(4*a*b*x - 3*a^2)*(b*x + a)^(2/3))/(a^3*x^2), 1/18*(12*sqrt(1/3)*a^(2/3)*b^2*x^2*arctan(sqrt(1/3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3)) - 2*a^(2/3)*b^2*x^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + 4*a^(2/3)*b^2*x^2*log((b*x + a)^(1/3) - a^(1/3)) + 3*(4*a*b*x - 3*a^2)*(b*x + a)^(2/3))/(a^3*x^2)]","A",0
399,1,44,0,0.900512," ","integrate(x^3/(b*x-a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(40 \, b^{3} x^{3} + 45 \, a b^{2} x^{2} + 54 \, a^{2} b x + 81 \, a^{3}\right)} {\left(b x - a\right)}^{\frac{2}{3}}}{440 \, b^{4}}"," ",0,"3/440*(40*b^3*x^3 + 45*a*b^2*x^2 + 54*a^2*b*x + 81*a^3)*(b*x - a)^(2/3)/b^4","A",0
400,1,33,0,0.938697," ","integrate(x^2/(b*x-a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, b^{2} x^{2} + 6 \, a b x + 9 \, a^{2}\right)} {\left(b x - a\right)}^{\frac{2}{3}}}{40 \, b^{3}}"," ",0,"3/40*(5*b^2*x^2 + 6*a*b*x + 9*a^2)*(b*x - a)^(2/3)/b^3","A",0
401,1,22,0,0.905639," ","integrate(x/(b*x-a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, b x + 3 \, a\right)} {\left(b x - a\right)}^{\frac{2}{3}}}{10 \, b^{2}}"," ",0,"3/10*(2*b*x + 3*a)*(b*x - a)^(2/3)/b^2","A",0
402,1,14,0,0.710098," ","integrate(1/(b*x-a)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x - a\right)}^{\frac{2}{3}}}{2 \, b}"," ",0,"3/2*(b*x - a)^(2/3)/b","A",0
403,1,285,0,0.941698," ","integrate(1/x/(b*x-a)^(1/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} a \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b x + \sqrt{3} {\left(2 \, {\left(b x - a\right)}^{\frac{2}{3}} \left(-a\right)^{\frac{2}{3}} + {\left(b x - a\right)}^{\frac{1}{3}} a + \left(-a\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} - 3 \, {\left(b x - a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{2}{3}} - 3 \, a}{x}\right) + \left(-a\right)^{\frac{2}{3}} \log\left({\left(b x - a\right)}^{\frac{2}{3}} + {\left(b x - a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) - 2 \, \left(-a\right)^{\frac{2}{3}} \log\left({\left(b x - a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}}\right)}{2 \, a}, \frac{2 \, \sqrt{3} a \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(b x - a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}}\right) + \left(-a\right)^{\frac{2}{3}} \log\left({\left(b x - a\right)}^{\frac{2}{3}} + {\left(b x - a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) - 2 \, \left(-a\right)^{\frac{2}{3}} \log\left({\left(b x - a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}}\right)}{2 \, a}\right]"," ",0,"[1/2*(sqrt(3)*a*sqrt((-a)^(1/3)/a)*log((2*b*x + sqrt(3)*(2*(b*x - a)^(2/3)*(-a)^(2/3) + (b*x - a)^(1/3)*a + (-a)^(1/3)*a)*sqrt((-a)^(1/3)/a) - 3*(b*x - a)^(1/3)*(-a)^(2/3) - 3*a)/x) + (-a)^(2/3)*log((b*x - a)^(2/3) + (b*x - a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) - 2*(-a)^(2/3)*log((b*x - a)^(1/3) - (-a)^(1/3)))/a, 1/2*(2*sqrt(3)*a*sqrt(-(-a)^(1/3)/a)*arctan(1/3*sqrt(3)*(2*(b*x - a)^(1/3) + (-a)^(1/3))*sqrt(-(-a)^(1/3)/a)) + (-a)^(2/3)*log((b*x - a)^(2/3) + (b*x - a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) - 2*(-a)^(2/3)*log((b*x - a)^(1/3) - (-a)^(1/3)))/a]","A",0
404,1,328,0,1.061489," ","integrate(1/x^2/(b*x-a)^(1/3),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a b x \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b x + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x - a\right)}^{\frac{2}{3}} \left(-a\right)^{\frac{2}{3}} + {\left(b x - a\right)}^{\frac{1}{3}} a + \left(-a\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} - 3 \, {\left(b x - a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{2}{3}} - 3 \, a}{x}\right) + \left(-a\right)^{\frac{2}{3}} b x \log\left({\left(b x - a\right)}^{\frac{2}{3}} + {\left(b x - a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) - 2 \, \left(-a\right)^{\frac{2}{3}} b x \log\left({\left(b x - a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}}\right) + 6 \, {\left(b x - a\right)}^{\frac{2}{3}} a}{6 \, a^{2} x}, \frac{6 \, \sqrt{\frac{1}{3}} a b x \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \arctan\left(\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x - a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}}\right) + \left(-a\right)^{\frac{2}{3}} b x \log\left({\left(b x - a\right)}^{\frac{2}{3}} + {\left(b x - a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) - 2 \, \left(-a\right)^{\frac{2}{3}} b x \log\left({\left(b x - a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}}\right) + 6 \, {\left(b x - a\right)}^{\frac{2}{3}} a}{6 \, a^{2} x}\right]"," ",0,"[1/6*(3*sqrt(1/3)*a*b*x*sqrt((-a)^(1/3)/a)*log((2*b*x + 3*sqrt(1/3)*(2*(b*x - a)^(2/3)*(-a)^(2/3) + (b*x - a)^(1/3)*a + (-a)^(1/3)*a)*sqrt((-a)^(1/3)/a) - 3*(b*x - a)^(1/3)*(-a)^(2/3) - 3*a)/x) + (-a)^(2/3)*b*x*log((b*x - a)^(2/3) + (b*x - a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) - 2*(-a)^(2/3)*b*x*log((b*x - a)^(1/3) - (-a)^(1/3)) + 6*(b*x - a)^(2/3)*a)/(a^2*x), 1/6*(6*sqrt(1/3)*a*b*x*sqrt(-(-a)^(1/3)/a)*arctan(sqrt(1/3)*(2*(b*x - a)^(1/3) + (-a)^(1/3))*sqrt(-(-a)^(1/3)/a)) + (-a)^(2/3)*b*x*log((b*x - a)^(2/3) + (b*x - a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) - 2*(-a)^(2/3)*b*x*log((b*x - a)^(1/3) - (-a)^(1/3)) + 6*(b*x - a)^(2/3)*a)/(a^2*x)]","A",0
405,1,374,0,0.656409," ","integrate(1/x^3/(b*x-a)^(1/3),x, algorithm=""fricas"")","\left[\frac{6 \, \sqrt{\frac{1}{3}} a b^{2} x^{2} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b x + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x - a\right)}^{\frac{2}{3}} \left(-a\right)^{\frac{2}{3}} + {\left(b x - a\right)}^{\frac{1}{3}} a + \left(-a\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} - 3 \, {\left(b x - a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{2}{3}} - 3 \, a}{x}\right) + 2 \, \left(-a\right)^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x - a\right)}^{\frac{2}{3}} + {\left(b x - a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) - 4 \, \left(-a\right)^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x - a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}}\right) + 3 \, {\left(4 \, a b x + 3 \, a^{2}\right)} {\left(b x - a\right)}^{\frac{2}{3}}}{18 \, a^{3} x^{2}}, \frac{12 \, \sqrt{\frac{1}{3}} a b^{2} x^{2} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \arctan\left(\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x - a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}}\right) + 2 \, \left(-a\right)^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x - a\right)}^{\frac{2}{3}} + {\left(b x - a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) - 4 \, \left(-a\right)^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x - a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}}\right) + 3 \, {\left(4 \, a b x + 3 \, a^{2}\right)} {\left(b x - a\right)}^{\frac{2}{3}}}{18 \, a^{3} x^{2}}\right]"," ",0,"[1/18*(6*sqrt(1/3)*a*b^2*x^2*sqrt((-a)^(1/3)/a)*log((2*b*x + 3*sqrt(1/3)*(2*(b*x - a)^(2/3)*(-a)^(2/3) + (b*x - a)^(1/3)*a + (-a)^(1/3)*a)*sqrt((-a)^(1/3)/a) - 3*(b*x - a)^(1/3)*(-a)^(2/3) - 3*a)/x) + 2*(-a)^(2/3)*b^2*x^2*log((b*x - a)^(2/3) + (b*x - a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) - 4*(-a)^(2/3)*b^2*x^2*log((b*x - a)^(1/3) - (-a)^(1/3)) + 3*(4*a*b*x + 3*a^2)*(b*x - a)^(2/3))/(a^3*x^2), 1/18*(12*sqrt(1/3)*a*b^2*x^2*sqrt(-(-a)^(1/3)/a)*arctan(sqrt(1/3)*(2*(b*x - a)^(1/3) + (-a)^(1/3))*sqrt(-(-a)^(1/3)/a)) + 2*(-a)^(2/3)*b^2*x^2*log((b*x - a)^(2/3) + (b*x - a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) - 4*(-a)^(2/3)*b^2*x^2*log((b*x - a)^(1/3) - (-a)^(1/3)) + 3*(4*a*b*x + 3*a^2)*(b*x - a)^(2/3))/(a^3*x^2)]","A",0
406,1,42,0,0.528301," ","integrate(x^3/(b*x+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(14 \, b^{3} x^{3} - 18 \, a b^{2} x^{2} + 27 \, a^{2} b x - 81 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{140 \, b^{4}}"," ",0,"3/140*(14*b^3*x^3 - 18*a*b^2*x^2 + 27*a^2*b*x - 81*a^3)*(b*x + a)^(1/3)/b^4","A",0
407,1,31,0,0.829434," ","integrate(x^2/(b*x+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, b^{2} x^{2} - 3 \, a b x + 9 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{14 \, b^{3}}"," ",0,"3/14*(2*b^2*x^2 - 3*a*b*x + 9*a^2)*(b*x + a)^(1/3)/b^3","A",0
408,1,19,0,0.904126," ","integrate(x/(b*x+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x + a\right)}^{\frac{1}{3}} {\left(b x - 3 \, a\right)}}{4 \, b^{2}}"," ",0,"3/4*(b*x + a)^(1/3)*(b*x - 3*a)/b^2","A",0
409,1,12,0,0.886266," ","integrate(1/(b*x+a)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x + a\right)}^{\frac{1}{3}}}{b}"," ",0,"3*(b*x + a)^(1/3)/b","A",0
410,1,115,0,0.997557," ","integrate(1/x/(b*x+a)^(2/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(a^{2}\right)}^{\frac{1}{6}} a \arctan\left(\frac{\sqrt{3} {\left(a^{2}\right)}^{\frac{1}{6}} {\left({\left(a^{2}\right)}^{\frac{1}{3}} a + 2 \, {\left(a^{2}\right)}^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right)}}{3 \, a^{2}}\right) + {\left(a^{2}\right)}^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{2}{3}} a + {\left(a^{2}\right)}^{\frac{1}{3}} a + {\left(a^{2}\right)}^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right) - 2 \, {\left(a^{2}\right)}^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} a - {\left(a^{2}\right)}^{\frac{2}{3}}\right)}{2 \, a^{2}}"," ",0,"-1/2*(2*sqrt(3)*(a^2)^(1/6)*a*arctan(1/3*sqrt(3)*(a^2)^(1/6)*((a^2)^(1/3)*a + 2*(a^2)^(2/3)*(b*x + a)^(1/3))/a^2) + (a^2)^(2/3)*log((b*x + a)^(2/3)*a + (a^2)^(1/3)*a + (a^2)^(2/3)*(b*x + a)^(1/3)) - 2*(a^2)^(2/3)*log((b*x + a)^(1/3)*a - (a^2)^(2/3)))/a^2","B",0
411,1,166,0,0.691921," ","integrate(1/x^2/(b*x+a)^(2/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} a b x \sqrt{-\left(-a^{2}\right)^{\frac{1}{3}}} \arctan\left(-\frac{{\left(\sqrt{3} \left(-a^{2}\right)^{\frac{1}{3}} a - 2 \, \sqrt{3} \left(-a^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right)} \sqrt{-\left(-a^{2}\right)^{\frac{1}{3}}}}{3 \, a^{2}}\right) + \left(-a^{2}\right)^{\frac{2}{3}} b x \log\left({\left(b x + a\right)}^{\frac{2}{3}} a - \left(-a^{2}\right)^{\frac{1}{3}} a + \left(-a^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right) - 2 \, \left(-a^{2}\right)^{\frac{2}{3}} b x \log\left({\left(b x + a\right)}^{\frac{1}{3}} a - \left(-a^{2}\right)^{\frac{2}{3}}\right) - 3 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{2}}{3 \, a^{3} x}"," ",0,"1/3*(2*sqrt(3)*a*b*x*sqrt(-(-a^2)^(1/3))*arctan(-1/3*(sqrt(3)*(-a^2)^(1/3)*a - 2*sqrt(3)*(-a^2)^(2/3)*(b*x + a)^(1/3))*sqrt(-(-a^2)^(1/3))/a^2) + (-a^2)^(2/3)*b*x*log((b*x + a)^(2/3)*a - (-a^2)^(1/3)*a + (-a^2)^(2/3)*(b*x + a)^(1/3)) - 2*(-a^2)^(2/3)*b*x*log((b*x + a)^(1/3)*a - (-a^2)^(2/3)) - 3*(b*x + a)^(1/3)*a^2)/(a^3*x)","B",0
412,1,162,0,0.816020," ","integrate(1/x^3/(b*x+a)^(2/3),x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} {\left(a^{2}\right)}^{\frac{1}{6}} a b^{2} x^{2} \arctan\left(\frac{{\left(a^{2}\right)}^{\frac{1}{6}} {\left(\sqrt{3} {\left(a^{2}\right)}^{\frac{1}{3}} a + 2 \, \sqrt{3} {\left(a^{2}\right)}^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right)}}{3 \, a^{2}}\right) + 5 \, {\left(a^{2}\right)}^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} a + {\left(a^{2}\right)}^{\frac{1}{3}} a + {\left(a^{2}\right)}^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}}\right) - 10 \, {\left(a^{2}\right)}^{\frac{2}{3}} b^{2} x^{2} \log\left({\left(b x + a\right)}^{\frac{1}{3}} a - {\left(a^{2}\right)}^{\frac{2}{3}}\right) - 3 \, {\left(5 \, a^{2} b x - 3 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{18 \, a^{4} x^{2}}"," ",0,"-1/18*(10*sqrt(3)*(a^2)^(1/6)*a*b^2*x^2*arctan(1/3*(a^2)^(1/6)*(sqrt(3)*(a^2)^(1/3)*a + 2*sqrt(3)*(a^2)^(2/3)*(b*x + a)^(1/3))/a^2) + 5*(a^2)^(2/3)*b^2*x^2*log((b*x + a)^(2/3)*a + (a^2)^(1/3)*a + (a^2)^(2/3)*(b*x + a)^(1/3)) - 10*(a^2)^(2/3)*b^2*x^2*log((b*x + a)^(1/3)*a - (a^2)^(2/3)) - 3*(5*a^2*b*x - 3*a^3)*(b*x + a)^(1/3))/(a^4*x^2)","A",0
413,1,52,0,0.859011," ","integrate(x^3/(b*x+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, b^{3} x^{3} - 9 \, a b^{2} x^{2} + 27 \, a^{2} b x + 81 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{40 \, {\left(b^{5} x + a b^{4}\right)}}"," ",0,"3/40*(5*b^3*x^3 - 9*a*b^2*x^2 + 27*a^2*b*x + 81*a^3)*(b*x + a)^(2/3)/(b^5*x + a*b^4)","A",0
414,1,40,0,0.829959," ","integrate(x^2/(b*x+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b^{2} x^{2} - 3 \, a b x - 9 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{5 \, {\left(b^{4} x + a b^{3}\right)}}"," ",0,"3/5*(b^2*x^2 - 3*a*b*x - 9*a^2)*(b*x + a)^(2/3)/(b^4*x + a*b^3)","A",0
415,1,29,0,0.829715," ","integrate(x/(b*x+a)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x + 3 \, a\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{2 \, {\left(b^{3} x + a b^{2}\right)}}"," ",0,"3/2*(b*x + 3*a)*(b*x + a)^(2/3)/(b^3*x + a*b^2)","A",0
416,1,20,0,1.054760," ","integrate(1/(b*x+a)^(4/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}}}{b^{2} x + a b}"," ",0,"-3*(b*x + a)^(2/3)/(b^2*x + a*b)","A",0
417,1,285,0,0.954954," ","integrate(1/x/(b*x+a)^(4/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} {\left(a b x + a^{2}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} \log\left(\frac{2 \, b x + \sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} a - a^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} - 3 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + 3 \, a}{x}\right) - {\left(b x + a\right)} 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) + 2 \, {\left(b x + a\right)} a^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + 6 \, {\left(b x + a\right)}^{\frac{2}{3}} a}{2 \, {\left(a^{2} b x + a^{3}\right)}}, -\frac{{\left(b x + a\right)} 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) - 2 \, {\left(b x + a\right)} a^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) - \frac{2 \, \sqrt{3} {\left(a b x + a^{2}\right)} \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}}} - 6 \, {\left(b x + a\right)}^{\frac{2}{3}} a}{2 \, {\left(a^{2} b x + a^{3}\right)}}\right]"," ",0,"[1/2*(sqrt(3)*(a*b*x + a^2)*sqrt(-1/a^(2/3))*log((2*b*x + sqrt(3)*(2*(b*x + a)^(2/3)*a^(2/3) - (b*x + a)^(1/3)*a - a^(4/3))*sqrt(-1/a^(2/3)) - 3*(b*x + a)^(1/3)*a^(2/3) + 3*a)/x) - (b*x + a)*a^(2/3)*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + 2*(b*x + a)*a^(2/3)*log((b*x + a)^(1/3) - a^(1/3)) + 6*(b*x + a)^(2/3)*a)/(a^2*b*x + a^3), -1/2*((b*x + a)*a^(2/3)*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) - 2*(b*x + a)*a^(2/3)*log((b*x + a)^(1/3) - a^(1/3)) - 2*sqrt(3)*(a*b*x + a^2)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - 6*(b*x + a)^(2/3)*a)/(a^2*b*x + a^3)]","A",0
418,1,407,0,0.828991," ","integrate(1/x^2/(b*x+a)^(4/3),x, algorithm=""fricas"")","\left[\frac{6 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x^{2} + a^{2} b x\right)} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b x - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{2}{3}} \left(-a\right)^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} a + \left(-a\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(-a\right)^{\frac{1}{3}}}{a}} - 3 \, {\left(b x + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{2}{3}} + 3 \, a}{x}\right) + 2 \, {\left(b^{2} x^{2} + a b x\right)} \left(-a\right)^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) - 4 \, {\left(b^{2} x^{2} + a b x\right)} \left(-a\right)^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right) - 3 \, {\left(4 \, a b x + a^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{3 \, {\left(a^{3} b x^{2} + a^{4} x\right)}}, -\frac{12 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x^{2} + a^{2} b x\right)} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}} \arctan\left(\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a\right)^{\frac{1}{3}}}{a}}\right) - 2 \, {\left(b^{2} x^{2} + a b x\right)} \left(-a\right)^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} \left(-a\right)^{\frac{1}{3}} + \left(-a\right)^{\frac{2}{3}}\right) + 4 \, {\left(b^{2} x^{2} + a b x\right)} \left(-a\right)^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right) + 3 \, {\left(4 \, a b x + a^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{3 \, {\left(a^{3} b x^{2} + a^{4} x\right)}}\right]"," ",0,"[1/3*(6*sqrt(1/3)*(a*b^2*x^2 + a^2*b*x)*sqrt((-a)^(1/3)/a)*log((2*b*x - 3*sqrt(1/3)*(2*(b*x + a)^(2/3)*(-a)^(2/3) - (b*x + a)^(1/3)*a + (-a)^(1/3)*a)*sqrt((-a)^(1/3)/a) - 3*(b*x + a)^(1/3)*(-a)^(2/3) + 3*a)/x) + 2*(b^2*x^2 + a*b*x)*(-a)^(2/3)*log((b*x + a)^(2/3) - (b*x + a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) - 4*(b^2*x^2 + a*b*x)*(-a)^(2/3)*log((b*x + a)^(1/3) + (-a)^(1/3)) - 3*(4*a*b*x + a^2)*(b*x + a)^(2/3))/(a^3*b*x^2 + a^4*x), -1/3*(12*sqrt(1/3)*(a*b^2*x^2 + a^2*b*x)*sqrt(-(-a)^(1/3)/a)*arctan(sqrt(1/3)*(2*(b*x + a)^(1/3) - (-a)^(1/3))*sqrt(-(-a)^(1/3)/a)) - 2*(b^2*x^2 + a*b*x)*(-a)^(2/3)*log((b*x + a)^(2/3) - (b*x + a)^(1/3)*(-a)^(1/3) + (-a)^(2/3)) + 4*(b^2*x^2 + a*b*x)*(-a)^(2/3)*log((b*x + a)^(1/3) + (-a)^(1/3)) + 3*(4*a*b*x + a^2)*(b*x + a)^(2/3))/(a^3*b*x^2 + a^4*x)]","B",0
419,1,407,0,1.046587," ","integrate(1/x^3/(b*x+a)^(4/3),x, algorithm=""fricas"")","\left[\frac{42 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{3} + a^{2} b^{2} x^{2}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} \log\left(\frac{2 \, b x + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} a - a^{\frac{4}{3}}\right)} \sqrt{-\frac{1}{a^{\frac{2}{3}}}} - 3 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{2}{3}} + 3 \, a}{x}\right) - 14 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} 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) + 28 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} a^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + 3 \, {\left(28 \, a b^{2} x^{2} + 7 \, a^{2} b x - 3 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{18 \, {\left(a^{4} b x^{3} + a^{5} x^{2}\right)}}, -\frac{14 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} 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) - 28 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} a^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) - \frac{84 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{3} + a^{2} b^{2} x^{2}\right)} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{a^{\frac{1}{3}}}\right)}{a^{\frac{1}{3}}} - 3 \, {\left(28 \, a b^{2} x^{2} + 7 \, a^{2} b x - 3 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{18 \, {\left(a^{4} b x^{3} + a^{5} x^{2}\right)}}\right]"," ",0,"[1/18*(42*sqrt(1/3)*(a*b^3*x^3 + a^2*b^2*x^2)*sqrt(-1/a^(2/3))*log((2*b*x + 3*sqrt(1/3)*(2*(b*x + a)^(2/3)*a^(2/3) - (b*x + a)^(1/3)*a - a^(4/3))*sqrt(-1/a^(2/3)) - 3*(b*x + a)^(1/3)*a^(2/3) + 3*a)/x) - 14*(b^3*x^3 + a*b^2*x^2)*a^(2/3)*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + 28*(b^3*x^3 + a*b^2*x^2)*a^(2/3)*log((b*x + a)^(1/3) - a^(1/3)) + 3*(28*a*b^2*x^2 + 7*a^2*b*x - 3*a^3)*(b*x + a)^(2/3))/(a^4*b*x^3 + a^5*x^2), -1/18*(14*(b^3*x^3 + a*b^2*x^2)*a^(2/3)*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) - 28*(b^3*x^3 + a*b^2*x^2)*a^(2/3)*log((b*x + a)^(1/3) - a^(1/3)) - 84*sqrt(1/3)*(a*b^3*x^3 + a^2*b^2*x^2)*arctan(sqrt(1/3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - 3*(28*a*b^2*x^2 + 7*a^2*b*x - 3*a^3)*(b*x + a)^(2/3))/(a^4*b*x^3 + a^5*x^2)]","A",0
420,1,88,0,0.971098," ","integrate(1/x/(b^3*x+a^3)^(1/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} a + 2 \, \sqrt{3} {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}}}{3 \, a}\right) - \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 \, \log\left(-a + {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}{2 \, a}"," ",0,"1/2*(2*sqrt(3)*arctan(1/3*(sqrt(3)*a + 2*sqrt(3)*(b^3*x + a^3)^(1/3))/a) - log(a^2 + (b^3*x + a^3)^(1/3)*a + (b^3*x + a^3)^(2/3)) + 2*log(-a + (b^3*x + a^3)^(1/3)))/a","A",0
421,1,92,0,0.865043," ","integrate(1/x/(-b^3*x+a^3)^(1/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} a + 2 \, \sqrt{3} {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}}}{3 \, a}\right) - \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 \, \log\left(-a + {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}{2 \, a}"," ",0,"1/2*(2*sqrt(3)*arctan(1/3*(sqrt(3)*a + 2*sqrt(3)*(-b^3*x + a^3)^(1/3))/a) - log(a^2 + (-b^3*x + a^3)^(1/3)*a + (-b^3*x + a^3)^(2/3)) + 2*log(-a + (-b^3*x + a^3)^(1/3)))/a","A",0
422,1,93,0,0.827555," ","integrate(1/x/(b^3*x-a^3)^(1/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} a - 2 \, \sqrt{3} {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}}}{3 \, a}\right) + \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 \, \log\left(a + {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}{2 \, a}"," ",0,"1/2*(2*sqrt(3)*arctan(-1/3*(sqrt(3)*a - 2*sqrt(3)*(b^3*x - a^3)^(1/3))/a) + log(a^2 - (b^3*x - a^3)^(1/3)*a + (b^3*x - a^3)^(2/3)) - 2*log(a + (b^3*x - a^3)^(1/3)))/a","A",0
423,1,97,0,0.865039," ","integrate(1/x/(-b^3*x-a^3)^(1/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} a - 2 \, \sqrt{3} {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}}}{3 \, a}\right) + \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 \, \log\left(a + {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}{2 \, a}"," ",0,"1/2*(2*sqrt(3)*arctan(-1/3*(sqrt(3)*a - 2*sqrt(3)*(-b^3*x - a^3)^(1/3))/a) + log(a^2 - (-b^3*x - a^3)^(1/3)*a + (-b^3*x - a^3)^(2/3)) - 2*log(a + (-b^3*x - a^3)^(1/3)))/a","A",0
424,1,86,0,0.755584," ","integrate(1/x/(b^3*x+a^3)^(2/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} a + 2 \, \sqrt{3} {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}}}{3 \, a}\right) + \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 \, \log\left(-a + {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}{2 \, a^{2}}"," ",0,"-1/2*(2*sqrt(3)*arctan(1/3*(sqrt(3)*a + 2*sqrt(3)*(b^3*x + a^3)^(1/3))/a) + log(a^2 + (b^3*x + a^3)^(1/3)*a + (b^3*x + a^3)^(2/3)) - 2*log(-a + (b^3*x + a^3)^(1/3)))/a^2","A",0
425,1,90,0,0.961234," ","integrate(1/x/(-b^3*x+a^3)^(2/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} a + 2 \, \sqrt{3} {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}}}{3 \, a}\right) + \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 \, \log\left(-a + {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}{2 \, a^{2}}"," ",0,"-1/2*(2*sqrt(3)*arctan(1/3*(sqrt(3)*a + 2*sqrt(3)*(-b^3*x + a^3)^(1/3))/a) + log(a^2 + (-b^3*x + a^3)^(1/3)*a + (-b^3*x + a^3)^(2/3)) - 2*log(-a + (-b^3*x + a^3)^(1/3)))/a^2","A",0
426,1,95,0,0.890326," ","integrate(1/x/(b^3*x-a^3)^(2/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} a - 2 \, \sqrt{3} {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}}}{3 \, a}\right) - \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 \, \log\left(a + {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}{2 \, a^{2}}"," ",0,"1/2*(2*sqrt(3)*arctan(-1/3*(sqrt(3)*a - 2*sqrt(3)*(b^3*x - a^3)^(1/3))/a) - log(a^2 - (b^3*x - a^3)^(1/3)*a + (b^3*x - a^3)^(2/3)) + 2*log(a + (b^3*x - a^3)^(1/3)))/a^2","A",0
427,1,99,0,1.153231," ","integrate(1/x/(-b^3*x-a^3)^(2/3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} a - 2 \, \sqrt{3} {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}}}{3 \, a}\right) - \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 \, \log\left(a + {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}{2 \, a^{2}}"," ",0,"1/2*(2*sqrt(3)*arctan(-1/3*(sqrt(3)*a - 2*sqrt(3)*(-b^3*x - a^3)^(1/3))/a) - log(a^2 - (-b^3*x - a^3)^(1/3)*a + (-b^3*x - a^3)^(2/3)) + 2*log(a + (-b^3*x - a^3)^(1/3)))/a^2","A",0
428,1,33,0,0.959394," ","integrate(x^m*(b*x+a),x, algorithm=""fricas"")","\frac{{\left({\left(b m + b\right)} x^{2} + {\left(a m + 2 \, a\right)} x\right)} x^{m}}{m^{2} + 3 \, m + 2}"," ",0,"((b*m + b)*x^2 + (a*m + 2*a)*x)*x^m/(m^2 + 3*m + 2)","A",0
429,1,18,0,0.846001," ","integrate(x^(5/2)*(b*x+a),x, algorithm=""fricas"")","\frac{2}{63} \, {\left(7 \, b x^{4} + 9 \, a x^{3}\right)} \sqrt{x}"," ",0,"2/63*(7*b*x^4 + 9*a*x^3)*sqrt(x)","A",0
430,1,18,0,1.005825," ","integrate(x^(3/2)*(b*x+a),x, algorithm=""fricas"")","\frac{2}{35} \, {\left(5 \, b x^{3} + 7 \, a x^{2}\right)} \sqrt{x}"," ",0,"2/35*(5*b*x^3 + 7*a*x^2)*sqrt(x)","A",0
431,1,16,0,0.991666," ","integrate((b*x+a)*x^(1/2),x, algorithm=""fricas"")","\frac{2}{15} \, {\left(3 \, b x^{2} + 5 \, a x\right)} \sqrt{x}"," ",0,"2/15*(3*b*x^2 + 5*a*x)*sqrt(x)","A",0
432,1,12,0,0.921379," ","integrate((b*x+a)/x^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(b x + 3 \, a\right)} \sqrt{x}"," ",0,"2/3*(b*x + 3*a)*sqrt(x)","A",0
433,1,12,0,0.548163," ","integrate((b*x+a)/x^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b x - a\right)}}{\sqrt{x}}"," ",0,"2*(b*x - a)/sqrt(x)","A",0
434,1,11,0,0.827682," ","integrate((b*x+a)/x^(5/2),x, algorithm=""fricas"")","-\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
435,1,85,0,0.776187," ","integrate(x^m*(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} m^{2} + 3 \, b^{2} m + 2 \, b^{2}\right)} x^{3} + 2 \, {\left(a b m^{2} + 4 \, a b m + 3 \, a b\right)} x^{2} + {\left(a^{2} m^{2} + 5 \, a^{2} m + 6 \, a^{2}\right)} x\right)} x^{m}}{m^{3} + 6 \, m^{2} + 11 \, m + 6}"," ",0,"((b^2*m^2 + 3*b^2*m + 2*b^2)*x^3 + 2*(a*b*m^2 + 4*a*b*m + 3*a*b)*x^2 + (a^2*m^2 + 5*a^2*m + 6*a^2)*x)*x^m/(m^3 + 6*m^2 + 11*m + 6)","A",0
436,1,29,0,0.708258," ","integrate(x^(5/2)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{2}{693} \, {\left(63 \, b^{2} x^{5} + 154 \, a b x^{4} + 99 \, a^{2} x^{3}\right)} \sqrt{x}"," ",0,"2/693*(63*b^2*x^5 + 154*a*b*x^4 + 99*a^2*x^3)*sqrt(x)","A",0
437,1,29,0,0.882034," ","integrate(x^(3/2)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{2}{315} \, {\left(35 \, b^{2} x^{4} + 90 \, a b x^{3} + 63 \, a^{2} x^{2}\right)} \sqrt{x}"," ",0,"2/315*(35*b^2*x^4 + 90*a*b*x^3 + 63*a^2*x^2)*sqrt(x)","A",0
438,1,27,0,0.810099," ","integrate((b*x+a)^2*x^(1/2),x, algorithm=""fricas"")","\frac{2}{105} \, {\left(15 \, b^{2} x^{3} + 42 \, a b x^{2} + 35 \, a^{2} x\right)} \sqrt{x}"," ",0,"2/105*(15*b^2*x^3 + 42*a*b*x^2 + 35*a^2*x)*sqrt(x)","A",0
439,1,24,0,0.839094," ","integrate((b*x+a)^2/x^(1/2),x, algorithm=""fricas"")","\frac{2}{15} \, {\left(3 \, b^{2} x^{2} + 10 \, a b x + 15 \, a^{2}\right)} \sqrt{x}"," ",0,"2/15*(3*b^2*x^2 + 10*a*b*x + 15*a^2)*sqrt(x)","A",0
440,1,23,0,0.890790," ","integrate((b*x+a)^2/x^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} x^{2} + 6 \, a b x - 3 \, a^{2}\right)}}{3 \, \sqrt{x}}"," ",0,"2/3*(b^2*x^2 + 6*a*b*x - 3*a^2)/sqrt(x)","A",0
441,1,24,0,0.805367," ","integrate((b*x+a)^2/x^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x^{2} - 6 \, a b x - a^{2}\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*(3*b^2*x^2 - 6*a*b*x - a^2)/x^(3/2)","A",0
442,1,157,0,0.891608," ","integrate(x^m*(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left({\left(b^{3} m^{3} + 6 \, b^{3} m^{2} + 11 \, b^{3} m + 6 \, b^{3}\right)} x^{4} + 3 \, {\left(a b^{2} m^{3} + 7 \, a b^{2} m^{2} + 14 \, a b^{2} m + 8 \, a b^{2}\right)} x^{3} + 3 \, {\left(a^{2} b m^{3} + 8 \, a^{2} b m^{2} + 19 \, a^{2} b m + 12 \, a^{2} b\right)} x^{2} + {\left(a^{3} m^{3} + 9 \, a^{3} m^{2} + 26 \, a^{3} m + 24 \, a^{3}\right)} x\right)} x^{m}}{m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24}"," ",0,"((b^3*m^3 + 6*b^3*m^2 + 11*b^3*m + 6*b^3)*x^4 + 3*(a*b^2*m^3 + 7*a*b^2*m^2 + 14*a*b^2*m + 8*a*b^2)*x^3 + 3*(a^2*b*m^3 + 8*a^2*b*m^2 + 19*a^2*b*m + 12*a^2*b)*x^2 + (a^3*m^3 + 9*a^3*m^2 + 26*a^3*m + 24*a^3)*x)*x^m/(m^4 + 10*m^3 + 35*m^2 + 50*m + 24)","B",0
443,1,40,0,0.809521," ","integrate(x^(5/2)*(b*x+a)^3,x, algorithm=""fricas"")","\frac{2}{3003} \, {\left(231 \, b^{3} x^{6} + 819 \, a b^{2} x^{5} + 1001 \, a^{2} b x^{4} + 429 \, a^{3} x^{3}\right)} \sqrt{x}"," ",0,"2/3003*(231*b^3*x^6 + 819*a*b^2*x^5 + 1001*a^2*b*x^4 + 429*a^3*x^3)*sqrt(x)","A",0
444,1,40,0,0.884397," ","integrate(x^(3/2)*(b*x+a)^3,x, algorithm=""fricas"")","\frac{2}{1155} \, {\left(105 \, b^{3} x^{5} + 385 \, a b^{2} x^{4} + 495 \, a^{2} b x^{3} + 231 \, a^{3} x^{2}\right)} \sqrt{x}"," ",0,"2/1155*(105*b^3*x^5 + 385*a*b^2*x^4 + 495*a^2*b*x^3 + 231*a^3*x^2)*sqrt(x)","A",0
445,1,38,0,0.822452," ","integrate((b*x+a)^3*x^(1/2),x, algorithm=""fricas"")","\frac{2}{315} \, {\left(35 \, b^{3} x^{4} + 135 \, a b^{2} x^{3} + 189 \, a^{2} b x^{2} + 105 \, a^{3} x\right)} \sqrt{x}"," ",0,"2/315*(35*b^3*x^4 + 135*a*b^2*x^3 + 189*a^2*b*x^2 + 105*a^3*x)*sqrt(x)","A",0
446,1,35,0,0.767910," ","integrate((b*x+a)^3/x^(1/2),x, algorithm=""fricas"")","\frac{2}{35} \, {\left(5 \, b^{3} x^{3} + 21 \, a b^{2} x^{2} + 35 \, a^{2} b x + 35 \, a^{3}\right)} \sqrt{x}"," ",0,"2/35*(5*b^3*x^3 + 21*a*b^2*x^2 + 35*a^2*b*x + 35*a^3)*sqrt(x)","A",0
447,1,34,0,0.800537," ","integrate((b*x+a)^3/x^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{3} x^{3} + 5 \, a b^{2} x^{2} + 15 \, a^{2} b x - 5 \, a^{3}\right)}}{5 \, \sqrt{x}}"," ",0,"2/5*(b^3*x^3 + 5*a*b^2*x^2 + 15*a^2*b*x - 5*a^3)/sqrt(x)","A",0
448,1,34,0,0.903797," ","integrate((b*x+a)^3/x^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{3} x^{3} + 9 \, a b^{2} x^{2} - 9 \, a^{2} b x - a^{3}\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*(b^3*x^3 + 9*a*b^2*x^2 - 9*a^2*b*x - a^3)/x^(3/2)","A",0
449,1,132,0,0.965868," ","integrate(x^(5/2)/(b*x+a),x, algorithm=""fricas"")","\left[\frac{15 \, a^{2} \sqrt{-\frac{a}{b}} \log\left(\frac{b x - 2 \, b \sqrt{x} \sqrt{-\frac{a}{b}} - a}{b x + a}\right) + 2 \, {\left(3 \, b^{2} x^{2} - 5 \, a b x + 15 \, a^{2}\right)} \sqrt{x}}{15 \, b^{3}}, -\frac{2 \, {\left(15 \, a^{2} \sqrt{\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{\frac{a}{b}}}{a}\right) - {\left(3 \, b^{2} x^{2} - 5 \, a b x + 15 \, a^{2}\right)} \sqrt{x}\right)}}{15 \, b^{3}}\right]"," ",0,"[1/15*(15*a^2*sqrt(-a/b)*log((b*x - 2*b*sqrt(x)*sqrt(-a/b) - a)/(b*x + a)) + 2*(3*b^2*x^2 - 5*a*b*x + 15*a^2)*sqrt(x))/b^3, -2/15*(15*a^2*sqrt(a/b)*arctan(b*sqrt(x)*sqrt(a/b)/a) - (3*b^2*x^2 - 5*a*b*x + 15*a^2)*sqrt(x))/b^3]","A",0
450,1,103,0,0.702725," ","integrate(x^(3/2)/(b*x+a),x, algorithm=""fricas"")","\left[\frac{3 \, a \sqrt{-\frac{a}{b}} \log\left(\frac{b x + 2 \, b \sqrt{x} \sqrt{-\frac{a}{b}} - a}{b x + a}\right) + 2 \, {\left(b x - 3 \, a\right)} \sqrt{x}}{3 \, b^{2}}, \frac{2 \, {\left(3 \, a \sqrt{\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{\frac{a}{b}}}{a}\right) + {\left(b x - 3 \, a\right)} \sqrt{x}\right)}}{3 \, b^{2}}\right]"," ",0,"[1/3*(3*a*sqrt(-a/b)*log((b*x + 2*b*sqrt(x)*sqrt(-a/b) - a)/(b*x + a)) + 2*(b*x - 3*a)*sqrt(x))/b^2, 2/3*(3*a*sqrt(a/b)*arctan(b*sqrt(x)*sqrt(a/b)/a) + (b*x - 3*a)*sqrt(x))/b^2]","A",0
451,1,85,0,0.982255," ","integrate(x^(1/2)/(b*x+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{-\frac{a}{b}} \log\left(\frac{b x - 2 \, b \sqrt{x} \sqrt{-\frac{a}{b}} - a}{b x + a}\right) + 2 \, \sqrt{x}}{b}, -\frac{2 \, {\left(\sqrt{\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{\frac{a}{b}}}{a}\right) - \sqrt{x}\right)}}{b}\right]"," ",0,"[(sqrt(-a/b)*log((b*x - 2*b*sqrt(x)*sqrt(-a/b) - a)/(b*x + a)) + 2*sqrt(x))/b, -2*(sqrt(a/b)*arctan(b*sqrt(x)*sqrt(a/b)/a) - sqrt(x))/b]","A",0
452,1,68,0,0.906550," ","integrate(1/(b*x+a)/x^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{b x - a - 2 \, \sqrt{-a b} \sqrt{x}}{b x + a}\right)}{a b}, -\frac{2 \, \sqrt{a b} \arctan\left(\frac{\sqrt{a b}}{b \sqrt{x}}\right)}{a b}\right]"," ",0,"[-sqrt(-a*b)*log((b*x - a - 2*sqrt(-a*b)*sqrt(x))/(b*x + a))/(a*b), -2*sqrt(a*b)*arctan(sqrt(a*b)/(b*sqrt(x)))/(a*b)]","A",0
453,1,93,0,0.953528," ","integrate(1/x^(3/2)/(b*x+a),x, algorithm=""fricas"")","\left[\frac{x \sqrt{-\frac{b}{a}} \log\left(\frac{b x - 2 \, a \sqrt{x} \sqrt{-\frac{b}{a}} - a}{b x + a}\right) - 2 \, \sqrt{x}}{a x}, \frac{2 \, {\left(x \sqrt{\frac{b}{a}} \arctan\left(\frac{a \sqrt{\frac{b}{a}}}{b \sqrt{x}}\right) - \sqrt{x}\right)}}{a x}\right]"," ",0,"[(x*sqrt(-b/a)*log((b*x - 2*a*sqrt(x)*sqrt(-b/a) - a)/(b*x + a)) - 2*sqrt(x))/(a*x), 2*(x*sqrt(b/a)*arctan(a*sqrt(b/a)/(b*sqrt(x))) - sqrt(x))/(a*x)]","A",0
454,1,118,0,0.886062," ","integrate(1/x^(5/2)/(b*x+a),x, algorithm=""fricas"")","\left[\frac{3 \, b x^{2} \sqrt{-\frac{b}{a}} \log\left(\frac{b x + 2 \, a \sqrt{x} \sqrt{-\frac{b}{a}} - a}{b x + a}\right) + 2 \, {\left(3 \, b x - a\right)} \sqrt{x}}{3 \, a^{2} x^{2}}, -\frac{2 \, {\left(3 \, b x^{2} \sqrt{\frac{b}{a}} \arctan\left(\frac{a \sqrt{\frac{b}{a}}}{b \sqrt{x}}\right) - {\left(3 \, b x - a\right)} \sqrt{x}\right)}}{3 \, a^{2} x^{2}}\right]"," ",0,"[1/3*(3*b*x^2*sqrt(-b/a)*log((b*x + 2*a*sqrt(x)*sqrt(-b/a) - a)/(b*x + a)) + 2*(3*b*x - a)*sqrt(x))/(a^2*x^2), -2/3*(3*b*x^2*sqrt(b/a)*arctan(a*sqrt(b/a)/(b*sqrt(x))) - (3*b*x - a)*sqrt(x))/(a^2*x^2)]","A",0
455,1,144,0,1.039919," ","integrate(1/x^(7/2)/(b*x+a),x, algorithm=""fricas"")","\left[\frac{15 \, b^{2} x^{3} \sqrt{-\frac{b}{a}} \log\left(\frac{b x - 2 \, a \sqrt{x} \sqrt{-\frac{b}{a}} - a}{b x + a}\right) - 2 \, {\left(15 \, b^{2} x^{2} - 5 \, a b x + 3 \, a^{2}\right)} \sqrt{x}}{15 \, a^{3} x^{3}}, \frac{2 \, {\left(15 \, b^{2} x^{3} \sqrt{\frac{b}{a}} \arctan\left(\frac{a \sqrt{\frac{b}{a}}}{b \sqrt{x}}\right) - {\left(15 \, b^{2} x^{2} - 5 \, a b x + 3 \, a^{2}\right)} \sqrt{x}\right)}}{15 \, a^{3} x^{3}}\right]"," ",0,"[1/15*(15*b^2*x^3*sqrt(-b/a)*log((b*x - 2*a*sqrt(x)*sqrt(-b/a) - a)/(b*x + a)) - 2*(15*b^2*x^2 - 5*a*b*x + 3*a^2)*sqrt(x))/(a^3*x^3), 2/15*(15*b^2*x^3*sqrt(b/a)*arctan(a*sqrt(b/a)/(b*sqrt(x))) - (15*b^2*x^2 - 5*a*b*x + 3*a^2)*sqrt(x))/(a^3*x^3)]","A",0
456,1,161,0,0.924894," ","integrate(x^(5/2)/(b*x+a)^2,x, algorithm=""fricas"")","\left[\frac{15 \, {\left(a b x + a^{2}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x + 2 \, b \sqrt{x} \sqrt{-\frac{a}{b}} - a}{b x + a}\right) + 2 \, {\left(2 \, b^{2} x^{2} - 10 \, a b x - 15 \, a^{2}\right)} \sqrt{x}}{6 \, {\left(b^{4} x + a b^{3}\right)}}, \frac{15 \, {\left(a b x + a^{2}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{\frac{a}{b}}}{a}\right) + {\left(2 \, b^{2} x^{2} - 10 \, a b x - 15 \, a^{2}\right)} \sqrt{x}}{3 \, {\left(b^{4} x + a b^{3}\right)}}\right]"," ",0,"[1/6*(15*(a*b*x + a^2)*sqrt(-a/b)*log((b*x + 2*b*sqrt(x)*sqrt(-a/b) - a)/(b*x + a)) + 2*(2*b^2*x^2 - 10*a*b*x - 15*a^2)*sqrt(x))/(b^4*x + a*b^3), 1/3*(15*(a*b*x + a^2)*sqrt(a/b)*arctan(b*sqrt(x)*sqrt(a/b)/a) + (2*b^2*x^2 - 10*a*b*x - 15*a^2)*sqrt(x))/(b^4*x + a*b^3)]","A",0
457,1,134,0,0.826427," ","integrate(x^(3/2)/(b*x+a)^2,x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b x + a\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x - 2 \, b \sqrt{x} \sqrt{-\frac{a}{b}} - a}{b x + a}\right) + 2 \, {\left(2 \, b x + 3 \, a\right)} \sqrt{x}}{2 \, {\left(b^{3} x + a b^{2}\right)}}, -\frac{3 \, {\left(b x + a\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{\frac{a}{b}}}{a}\right) - {\left(2 \, b x + 3 \, a\right)} \sqrt{x}}{b^{3} x + a b^{2}}\right]"," ",0,"[1/2*(3*(b*x + a)*sqrt(-a/b)*log((b*x - 2*b*sqrt(x)*sqrt(-a/b) - a)/(b*x + a)) + 2*(2*b*x + 3*a)*sqrt(x))/(b^3*x + a*b^2), -(3*(b*x + a)*sqrt(a/b)*arctan(b*sqrt(x)*sqrt(a/b)/a) - (2*b*x + 3*a)*sqrt(x))/(b^3*x + a*b^2)]","A",0
458,1,115,0,0.892915," ","integrate(x^(1/2)/(b*x+a)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, a b \sqrt{x} + \sqrt{-a b} {\left(b x + a\right)} \log\left(\frac{b x - a - 2 \, \sqrt{-a b} \sqrt{x}}{b x + a}\right)}{2 \, {\left(a b^{3} x + a^{2} b^{2}\right)}}, -\frac{a b \sqrt{x} + \sqrt{a b} {\left(b x + a\right)} \arctan\left(\frac{\sqrt{a b}}{b \sqrt{x}}\right)}{a b^{3} x + a^{2} b^{2}}\right]"," ",0,"[-1/2*(2*a*b*sqrt(x) + sqrt(-a*b)*(b*x + a)*log((b*x - a - 2*sqrt(-a*b)*sqrt(x))/(b*x + a)))/(a*b^3*x + a^2*b^2), -(a*b*sqrt(x) + sqrt(a*b)*(b*x + a)*arctan(sqrt(a*b)/(b*sqrt(x))))/(a*b^3*x + a^2*b^2)]","A",0
459,1,116,0,0.872890," ","integrate(1/(b*x+a)^2/x^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, a b \sqrt{x} - \sqrt{-a b} {\left(b x + a\right)} \log\left(\frac{b x - a - 2 \, \sqrt{-a b} \sqrt{x}}{b x + a}\right)}{2 \, {\left(a^{2} b^{2} x + a^{3} b\right)}}, \frac{a b \sqrt{x} - \sqrt{a b} {\left(b x + a\right)} \arctan\left(\frac{\sqrt{a b}}{b \sqrt{x}}\right)}{a^{2} b^{2} x + a^{3} b}\right]"," ",0,"[1/2*(2*a*b*sqrt(x) - sqrt(-a*b)*(b*x + a)*log((b*x - a - 2*sqrt(-a*b)*sqrt(x))/(b*x + a)))/(a^2*b^2*x + a^3*b), (a*b*sqrt(x) - sqrt(a*b)*(b*x + a)*arctan(sqrt(a*b)/(b*sqrt(x))))/(a^2*b^2*x + a^3*b)]","A",0
460,1,147,0,0.957100," ","integrate(1/x^(3/2)/(b*x+a)^2,x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b x^{2} + a x\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x - 2 \, a \sqrt{x} \sqrt{-\frac{b}{a}} - a}{b x + a}\right) - 2 \, {\left(3 \, b x + 2 \, a\right)} \sqrt{x}}{2 \, {\left(a^{2} b x^{2} + a^{3} x\right)}}, \frac{3 \, {\left(b x^{2} + a x\right)} \sqrt{\frac{b}{a}} \arctan\left(\frac{a \sqrt{\frac{b}{a}}}{b \sqrt{x}}\right) - {\left(3 \, b x + 2 \, a\right)} \sqrt{x}}{a^{2} b x^{2} + a^{3} x}\right]"," ",0,"[1/2*(3*(b*x^2 + a*x)*sqrt(-b/a)*log((b*x - 2*a*sqrt(x)*sqrt(-b/a) - a)/(b*x + a)) - 2*(3*b*x + 2*a)*sqrt(x))/(a^2*b*x^2 + a^3*x), (3*(b*x^2 + a*x)*sqrt(b/a)*arctan(a*sqrt(b/a)/(b*sqrt(x))) - (3*b*x + 2*a)*sqrt(x))/(a^2*b*x^2 + a^3*x)]","A",0
461,1,184,0,1.005476," ","integrate(1/x^(5/2)/(b*x+a)^2,x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{2} x^{3} + a b x^{2}\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x + 2 \, a \sqrt{x} \sqrt{-\frac{b}{a}} - a}{b x + a}\right) + 2 \, {\left(15 \, b^{2} x^{2} + 10 \, a b x - 2 \, a^{2}\right)} \sqrt{x}}{6 \, {\left(a^{3} b x^{3} + a^{4} x^{2}\right)}}, -\frac{15 \, {\left(b^{2} x^{3} + a b x^{2}\right)} \sqrt{\frac{b}{a}} \arctan\left(\frac{a \sqrt{\frac{b}{a}}}{b \sqrt{x}}\right) - {\left(15 \, b^{2} x^{2} + 10 \, a b x - 2 \, a^{2}\right)} \sqrt{x}}{3 \, {\left(a^{3} b x^{3} + a^{4} x^{2}\right)}}\right]"," ",0,"[1/6*(15*(b^2*x^3 + a*b*x^2)*sqrt(-b/a)*log((b*x + 2*a*sqrt(x)*sqrt(-b/a) - a)/(b*x + a)) + 2*(15*b^2*x^2 + 10*a*b*x - 2*a^2)*sqrt(x))/(a^3*b*x^3 + a^4*x^2), -1/3*(15*(b^2*x^3 + a*b*x^2)*sqrt(b/a)*arctan(a*sqrt(b/a)/(b*sqrt(x))) - (15*b^2*x^2 + 10*a*b*x - 2*a^2)*sqrt(x))/(a^3*b*x^3 + a^4*x^2)]","A",0
462,1,227,0,0.908544," ","integrate(x^(7/2)/(b*x+a)^3,x, algorithm=""fricas"")","\left[\frac{105 \, {\left(a b^{2} x^{2} + 2 \, a^{2} b x + a^{3}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x + 2 \, b \sqrt{x} \sqrt{-\frac{a}{b}} - a}{b x + a}\right) + 2 \, {\left(8 \, b^{3} x^{3} - 56 \, a b^{2} x^{2} - 175 \, a^{2} b x - 105 \, a^{3}\right)} \sqrt{x}}{24 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}}, \frac{105 \, {\left(a b^{2} x^{2} + 2 \, a^{2} b x + a^{3}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{\frac{a}{b}}}{a}\right) + {\left(8 \, b^{3} x^{3} - 56 \, a b^{2} x^{2} - 175 \, a^{2} b x - 105 \, a^{3}\right)} \sqrt{x}}{12 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}}\right]"," ",0,"[1/24*(105*(a*b^2*x^2 + 2*a^2*b*x + a^3)*sqrt(-a/b)*log((b*x + 2*b*sqrt(x)*sqrt(-a/b) - a)/(b*x + a)) + 2*(8*b^3*x^3 - 56*a*b^2*x^2 - 175*a^2*b*x - 105*a^3)*sqrt(x))/(b^6*x^2 + 2*a*b^5*x + a^2*b^4), 1/12*(105*(a*b^2*x^2 + 2*a^2*b*x + a^3)*sqrt(a/b)*arctan(b*sqrt(x)*sqrt(a/b)/a) + (8*b^3*x^3 - 56*a*b^2*x^2 - 175*a^2*b*x - 105*a^3)*sqrt(x))/(b^6*x^2 + 2*a*b^5*x + a^2*b^4)]","A",0
463,1,200,0,0.593178," ","integrate(x^(5/2)/(b*x+a)^3,x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{-\frac{a}{b}} \log\left(\frac{b x - 2 \, b \sqrt{x} \sqrt{-\frac{a}{b}} - a}{b x + a}\right) + 2 \, {\left(8 \, b^{2} x^{2} + 25 \, a b x + 15 \, a^{2}\right)} \sqrt{x}}{8 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}, -\frac{15 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{\frac{a}{b}}}{a}\right) - {\left(8 \, b^{2} x^{2} + 25 \, a b x + 15 \, a^{2}\right)} \sqrt{x}}{4 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}\right]"," ",0,"[1/8*(15*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(-a/b)*log((b*x - 2*b*sqrt(x)*sqrt(-a/b) - a)/(b*x + a)) + 2*(8*b^2*x^2 + 25*a*b*x + 15*a^2)*sqrt(x))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3), -1/4*(15*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(a/b)*arctan(b*sqrt(x)*sqrt(a/b)/a) - (8*b^2*x^2 + 25*a*b*x + 15*a^2)*sqrt(x))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3)]","A",0
464,1,185,0,1.008673," ","integrate(x^(3/2)/(b*x+a)^3,x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{-a b} \log\left(\frac{b x - a - 2 \, \sqrt{-a b} \sqrt{x}}{b x + a}\right) + 2 \, {\left(5 \, a b^{2} x + 3 \, a^{2} b\right)} \sqrt{x}}{8 \, {\left(a b^{5} x^{2} + 2 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}, -\frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b}}{b \sqrt{x}}\right) + {\left(5 \, a b^{2} x + 3 \, a^{2} b\right)} \sqrt{x}}{4 \, {\left(a b^{5} x^{2} + 2 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}\right]"," ",0,"[-1/8*(3*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(-a*b)*log((b*x - a - 2*sqrt(-a*b)*sqrt(x))/(b*x + a)) + 2*(5*a*b^2*x + 3*a^2*b)*sqrt(x))/(a*b^5*x^2 + 2*a^2*b^4*x + a^3*b^3), -1/4*(3*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(a*b)*arctan(sqrt(a*b)/(b*sqrt(x))) + (5*a*b^2*x + 3*a^2*b)*sqrt(x))/(a*b^5*x^2 + 2*a^2*b^4*x + a^3*b^3)]","A",0
465,1,186,0,0.919316," ","integrate(x^(1/2)/(b*x+a)^3,x, algorithm=""fricas"")","\left[-\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{-a b} \log\left(\frac{b x - a - 2 \, \sqrt{-a b} \sqrt{x}}{b x + a}\right) - 2 \, {\left(a b^{2} x - a^{2} b\right)} \sqrt{x}}{8 \, {\left(a^{2} b^{4} x^{2} + 2 \, a^{3} b^{3} x + a^{4} b^{2}\right)}}, -\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b}}{b \sqrt{x}}\right) - {\left(a b^{2} x - a^{2} b\right)} \sqrt{x}}{4 \, {\left(a^{2} b^{4} x^{2} + 2 \, a^{3} b^{3} x + a^{4} b^{2}\right)}}\right]"," ",0,"[-1/8*((b^2*x^2 + 2*a*b*x + a^2)*sqrt(-a*b)*log((b*x - a - 2*sqrt(-a*b)*sqrt(x))/(b*x + a)) - 2*(a*b^2*x - a^2*b)*sqrt(x))/(a^2*b^4*x^2 + 2*a^3*b^3*x + a^4*b^2), -1/4*((b^2*x^2 + 2*a*b*x + a^2)*sqrt(a*b)*arctan(sqrt(a*b)/(b*sqrt(x))) - (a*b^2*x - a^2*b)*sqrt(x))/(a^2*b^4*x^2 + 2*a^3*b^3*x + a^4*b^2)]","A",0
466,1,186,0,0.984188," ","integrate(1/(b*x+a)^3/x^(1/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{-a b} \log\left(\frac{b x - a - 2 \, \sqrt{-a b} \sqrt{x}}{b x + a}\right) - 2 \, {\left(3 \, a b^{2} x + 5 \, a^{2} b\right)} \sqrt{x}}{8 \, {\left(a^{3} b^{3} x^{2} + 2 \, a^{4} b^{2} x + a^{5} b\right)}}, -\frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b}}{b \sqrt{x}}\right) - {\left(3 \, a b^{2} x + 5 \, a^{2} b\right)} \sqrt{x}}{4 \, {\left(a^{3} b^{3} x^{2} + 2 \, a^{4} b^{2} x + a^{5} b\right)}}\right]"," ",0,"[-1/8*(3*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(-a*b)*log((b*x - a - 2*sqrt(-a*b)*sqrt(x))/(b*x + a)) - 2*(3*a*b^2*x + 5*a^2*b)*sqrt(x))/(a^3*b^3*x^2 + 2*a^4*b^2*x + a^5*b), -1/4*(3*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(a*b)*arctan(sqrt(a*b)/(b*sqrt(x))) - (3*a*b^2*x + 5*a^2*b)*sqrt(x))/(a^3*b^3*x^2 + 2*a^4*b^2*x + a^5*b)]","A",0
467,1,214,0,0.718594," ","integrate(1/x^(3/2)/(b*x+a)^3,x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{2} x^{3} + 2 \, a b x^{2} + a^{2} x\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x - 2 \, a \sqrt{x} \sqrt{-\frac{b}{a}} - a}{b x + a}\right) - 2 \, {\left(15 \, b^{2} x^{2} + 25 \, a b x + 8 \, a^{2}\right)} \sqrt{x}}{8 \, {\left(a^{3} b^{2} x^{3} + 2 \, a^{4} b x^{2} + a^{5} x\right)}}, \frac{15 \, {\left(b^{2} x^{3} + 2 \, a b x^{2} + a^{2} x\right)} \sqrt{\frac{b}{a}} \arctan\left(\frac{a \sqrt{\frac{b}{a}}}{b \sqrt{x}}\right) - {\left(15 \, b^{2} x^{2} + 25 \, a b x + 8 \, a^{2}\right)} \sqrt{x}}{4 \, {\left(a^{3} b^{2} x^{3} + 2 \, a^{4} b x^{2} + a^{5} x\right)}}\right]"," ",0,"[1/8*(15*(b^2*x^3 + 2*a*b*x^2 + a^2*x)*sqrt(-b/a)*log((b*x - 2*a*sqrt(x)*sqrt(-b/a) - a)/(b*x + a)) - 2*(15*b^2*x^2 + 25*a*b*x + 8*a^2)*sqrt(x))/(a^3*b^2*x^3 + 2*a^4*b*x^2 + a^5*x), 1/4*(15*(b^2*x^3 + 2*a*b*x^2 + a^2*x)*sqrt(b/a)*arctan(a*sqrt(b/a)/(b*sqrt(x))) - (15*b^2*x^2 + 25*a*b*x + 8*a^2)*sqrt(x))/(a^3*b^2*x^3 + 2*a^4*b*x^2 + a^5*x)]","A",0
468,1,250,0,0.843090," ","integrate(1/x^(5/2)/(b*x+a)^3,x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{3} x^{4} + 2 \, a b^{2} x^{3} + a^{2} b x^{2}\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x + 2 \, a \sqrt{x} \sqrt{-\frac{b}{a}} - a}{b x + a}\right) + 2 \, {\left(105 \, b^{3} x^{3} + 175 \, a b^{2} x^{2} + 56 \, a^{2} b x - 8 \, a^{3}\right)} \sqrt{x}}{24 \, {\left(a^{4} b^{2} x^{4} + 2 \, a^{5} b x^{3} + a^{6} x^{2}\right)}}, -\frac{105 \, {\left(b^{3} x^{4} + 2 \, a b^{2} x^{3} + a^{2} b x^{2}\right)} \sqrt{\frac{b}{a}} \arctan\left(\frac{a \sqrt{\frac{b}{a}}}{b \sqrt{x}}\right) - {\left(105 \, b^{3} x^{3} + 175 \, a b^{2} x^{2} + 56 \, a^{2} b x - 8 \, a^{3}\right)} \sqrt{x}}{12 \, {\left(a^{4} b^{2} x^{4} + 2 \, a^{5} b x^{3} + a^{6} x^{2}\right)}}\right]"," ",0,"[1/24*(105*(b^3*x^4 + 2*a*b^2*x^3 + a^2*b*x^2)*sqrt(-b/a)*log((b*x + 2*a*sqrt(x)*sqrt(-b/a) - a)/(b*x + a)) + 2*(105*b^3*x^3 + 175*a*b^2*x^2 + 56*a^2*b*x - 8*a^3)*sqrt(x))/(a^4*b^2*x^4 + 2*a^5*b*x^3 + a^6*x^2), -1/12*(105*(b^3*x^4 + 2*a*b^2*x^3 + a^2*b*x^2)*sqrt(b/a)*arctan(a*sqrt(b/a)/(b*sqrt(x))) - (105*b^3*x^3 + 175*a*b^2*x^2 + 56*a^2*b*x - 8*a^3)*sqrt(x))/(a^4*b^2*x^4 + 2*a^5*b*x^3 + a^6*x^2)]","A",0
469,1,131,0,1.083752," ","integrate(x^(5/2)/(b*x-a),x, algorithm=""fricas"")","\left[\frac{15 \, a^{2} \sqrt{\frac{a}{b}} \log\left(\frac{b x - 2 \, b \sqrt{x} \sqrt{\frac{a}{b}} + a}{b x - a}\right) + 2 \, {\left(3 \, b^{2} x^{2} + 5 \, a b x + 15 \, a^{2}\right)} \sqrt{x}}{15 \, b^{3}}, \frac{2 \, {\left(15 \, a^{2} \sqrt{-\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{-\frac{a}{b}}}{a}\right) + {\left(3 \, b^{2} x^{2} + 5 \, a b x + 15 \, a^{2}\right)} \sqrt{x}\right)}}{15 \, b^{3}}\right]"," ",0,"[1/15*(15*a^2*sqrt(a/b)*log((b*x - 2*b*sqrt(x)*sqrt(a/b) + a)/(b*x - a)) + 2*(3*b^2*x^2 + 5*a*b*x + 15*a^2)*sqrt(x))/b^3, 2/15*(15*a^2*sqrt(-a/b)*arctan(b*sqrt(x)*sqrt(-a/b)/a) + (3*b^2*x^2 + 5*a*b*x + 15*a^2)*sqrt(x))/b^3]","A",0
470,1,103,0,0.669139," ","integrate(x^(3/2)/(b*x-a),x, algorithm=""fricas"")","\left[\frac{3 \, a \sqrt{\frac{a}{b}} \log\left(\frac{b x - 2 \, b \sqrt{x} \sqrt{\frac{a}{b}} + a}{b x - a}\right) + 2 \, {\left(b x + 3 \, a\right)} \sqrt{x}}{3 \, b^{2}}, \frac{2 \, {\left(3 \, a \sqrt{-\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{-\frac{a}{b}}}{a}\right) + {\left(b x + 3 \, a\right)} \sqrt{x}\right)}}{3 \, b^{2}}\right]"," ",0,"[1/3*(3*a*sqrt(a/b)*log((b*x - 2*b*sqrt(x)*sqrt(a/b) + a)/(b*x - a)) + 2*(b*x + 3*a)*sqrt(x))/b^2, 2/3*(3*a*sqrt(-a/b)*arctan(b*sqrt(x)*sqrt(-a/b)/a) + (b*x + 3*a)*sqrt(x))/b^2]","A",0
471,1,83,0,0.758195," ","integrate(x^(1/2)/(b*x-a),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{a}{b}} \log\left(\frac{b x - 2 \, b \sqrt{x} \sqrt{\frac{a}{b}} + a}{b x - a}\right) + 2 \, \sqrt{x}}{b}, \frac{2 \, {\left(\sqrt{-\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{-\frac{a}{b}}}{a}\right) + \sqrt{x}\right)}}{b}\right]"," ",0,"[(sqrt(a/b)*log((b*x - 2*b*sqrt(x)*sqrt(a/b) + a)/(b*x - a)) + 2*sqrt(x))/b, 2*(sqrt(-a/b)*arctan(b*sqrt(x)*sqrt(-a/b)/a) + sqrt(x))/b]","A",0
472,1,67,0,0.980086," ","integrate(1/(b*x-a)/x^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a b} \log\left(\frac{b x + a - 2 \, \sqrt{a b} \sqrt{x}}{b x - a}\right)}{a b}, \frac{2 \, \sqrt{-a b} \arctan\left(\frac{\sqrt{-a b}}{b \sqrt{x}}\right)}{a b}\right]"," ",0,"[sqrt(a*b)*log((b*x + a - 2*sqrt(a*b)*sqrt(x))/(b*x - a))/(a*b), 2*sqrt(-a*b)*arctan(sqrt(-a*b)/(b*sqrt(x)))/(a*b)]","A",0
473,1,91,0,0.697831," ","integrate(1/x^(3/2)/(b*x-a),x, algorithm=""fricas"")","\left[\frac{x \sqrt{\frac{b}{a}} \log\left(\frac{b x - 2 \, a \sqrt{x} \sqrt{\frac{b}{a}} + a}{b x - a}\right) + 2 \, \sqrt{x}}{a x}, \frac{2 \, {\left(x \sqrt{-\frac{b}{a}} \arctan\left(\frac{a \sqrt{-\frac{b}{a}}}{b \sqrt{x}}\right) + \sqrt{x}\right)}}{a x}\right]"," ",0,"[(x*sqrt(b/a)*log((b*x - 2*a*sqrt(x)*sqrt(b/a) + a)/(b*x - a)) + 2*sqrt(x))/(a*x), 2*(x*sqrt(-b/a)*arctan(a*sqrt(-b/a)/(b*sqrt(x))) + sqrt(x))/(a*x)]","A",0
474,1,113,0,1.061364," ","integrate(1/x^(5/2)/(b*x-a),x, algorithm=""fricas"")","\left[\frac{3 \, b x^{2} \sqrt{\frac{b}{a}} \log\left(\frac{b x - 2 \, a \sqrt{x} \sqrt{\frac{b}{a}} + a}{b x - a}\right) + 2 \, {\left(3 \, b x + a\right)} \sqrt{x}}{3 \, a^{2} x^{2}}, \frac{2 \, {\left(3 \, b x^{2} \sqrt{-\frac{b}{a}} \arctan\left(\frac{a \sqrt{-\frac{b}{a}}}{b \sqrt{x}}\right) + {\left(3 \, b x + a\right)} \sqrt{x}\right)}}{3 \, a^{2} x^{2}}\right]"," ",0,"[1/3*(3*b*x^2*sqrt(b/a)*log((b*x - 2*a*sqrt(x)*sqrt(b/a) + a)/(b*x - a)) + 2*(3*b*x + a)*sqrt(x))/(a^2*x^2), 2/3*(3*b*x^2*sqrt(-b/a)*arctan(a*sqrt(-b/a)/(b*sqrt(x))) + (3*b*x + a)*sqrt(x))/(a^2*x^2)]","A",0
475,1,143,0,0.897632," ","integrate(1/x^(7/2)/(b*x-a),x, algorithm=""fricas"")","\left[\frac{15 \, b^{2} x^{3} \sqrt{\frac{b}{a}} \log\left(\frac{b x - 2 \, a \sqrt{x} \sqrt{\frac{b}{a}} + a}{b x - a}\right) + 2 \, {\left(15 \, b^{2} x^{2} + 5 \, a b x + 3 \, a^{2}\right)} \sqrt{x}}{15 \, a^{3} x^{3}}, \frac{2 \, {\left(15 \, b^{2} x^{3} \sqrt{-\frac{b}{a}} \arctan\left(\frac{a \sqrt{-\frac{b}{a}}}{b \sqrt{x}}\right) + {\left(15 \, b^{2} x^{2} + 5 \, a b x + 3 \, a^{2}\right)} \sqrt{x}\right)}}{15 \, a^{3} x^{3}}\right]"," ",0,"[1/15*(15*b^2*x^3*sqrt(b/a)*log((b*x - 2*a*sqrt(x)*sqrt(b/a) + a)/(b*x - a)) + 2*(15*b^2*x^2 + 5*a*b*x + 3*a^2)*sqrt(x))/(a^3*x^3), 2/15*(15*b^2*x^3*sqrt(-b/a)*arctan(a*sqrt(-b/a)/(b*sqrt(x))) + (15*b^2*x^2 + 5*a*b*x + 3*a^2)*sqrt(x))/(a^3*x^3)]","A",0
476,1,167,0,0.698986," ","integrate(x^(5/2)/(b*x-a)^2,x, algorithm=""fricas"")","\left[\frac{15 \, {\left(a b x - a^{2}\right)} \sqrt{\frac{a}{b}} \log\left(\frac{b x - 2 \, b \sqrt{x} \sqrt{\frac{a}{b}} + a}{b x - a}\right) + 2 \, {\left(2 \, b^{2} x^{2} + 10 \, a b x - 15 \, a^{2}\right)} \sqrt{x}}{6 \, {\left(b^{4} x - a b^{3}\right)}}, \frac{15 \, {\left(a b x - a^{2}\right)} \sqrt{-\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{-\frac{a}{b}}}{a}\right) + {\left(2 \, b^{2} x^{2} + 10 \, a b x - 15 \, a^{2}\right)} \sqrt{x}}{3 \, {\left(b^{4} x - a b^{3}\right)}}\right]"," ",0,"[1/6*(15*(a*b*x - a^2)*sqrt(a/b)*log((b*x - 2*b*sqrt(x)*sqrt(a/b) + a)/(b*x - a)) + 2*(2*b^2*x^2 + 10*a*b*x - 15*a^2)*sqrt(x))/(b^4*x - a*b^3), 1/3*(15*(a*b*x - a^2)*sqrt(-a/b)*arctan(b*sqrt(x)*sqrt(-a/b)/a) + (2*b^2*x^2 + 10*a*b*x - 15*a^2)*sqrt(x))/(b^4*x - a*b^3)]","A",0
477,1,138,0,0.576352," ","integrate(x^(3/2)/(b*x-a)^2,x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b x - a\right)} \sqrt{\frac{a}{b}} \log\left(\frac{b x - 2 \, b \sqrt{x} \sqrt{\frac{a}{b}} + a}{b x - a}\right) + 2 \, {\left(2 \, b x - 3 \, a\right)} \sqrt{x}}{2 \, {\left(b^{3} x - a b^{2}\right)}}, \frac{3 \, {\left(b x - a\right)} \sqrt{-\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{-\frac{a}{b}}}{a}\right) + {\left(2 \, b x - 3 \, a\right)} \sqrt{x}}{b^{3} x - a b^{2}}\right]"," ",0,"[1/2*(3*(b*x - a)*sqrt(a/b)*log((b*x - 2*b*sqrt(x)*sqrt(a/b) + a)/(b*x - a)) + 2*(2*b*x - 3*a)*sqrt(x))/(b^3*x - a*b^2), (3*(b*x - a)*sqrt(-a/b)*arctan(b*sqrt(x)*sqrt(-a/b)/a) + (2*b*x - 3*a)*sqrt(x))/(b^3*x - a*b^2)]","A",0
478,1,123,0,0.839138," ","integrate(x^(1/2)/(b*x-a)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, a b \sqrt{x} - \sqrt{a b} {\left(b x - a\right)} \log\left(\frac{b x + a - 2 \, \sqrt{a b} \sqrt{x}}{b x - a}\right)}{2 \, {\left(a b^{3} x - a^{2} b^{2}\right)}}, -\frac{a b \sqrt{x} - \sqrt{-a b} {\left(b x - a\right)} \arctan\left(\frac{\sqrt{-a b}}{b \sqrt{x}}\right)}{a b^{3} x - a^{2} b^{2}}\right]"," ",0,"[-1/2*(2*a*b*sqrt(x) - sqrt(a*b)*(b*x - a)*log((b*x + a - 2*sqrt(a*b)*sqrt(x))/(b*x - a)))/(a*b^3*x - a^2*b^2), -(a*b*sqrt(x) - sqrt(-a*b)*(b*x - a)*arctan(sqrt(-a*b)/(b*sqrt(x))))/(a*b^3*x - a^2*b^2)]","A",0
479,1,122,0,0.577287," ","integrate(1/(b*x-a)^2/x^(1/2),x, algorithm=""fricas"")","\left[-\frac{2 \, a b \sqrt{x} - \sqrt{a b} {\left(b x - a\right)} \log\left(\frac{b x + a + 2 \, \sqrt{a b} \sqrt{x}}{b x - a}\right)}{2 \, {\left(a^{2} b^{2} x - a^{3} b\right)}}, -\frac{a b \sqrt{x} + \sqrt{-a b} {\left(b x - a\right)} \arctan\left(\frac{\sqrt{-a b}}{b \sqrt{x}}\right)}{a^{2} b^{2} x - a^{3} b}\right]"," ",0,"[-1/2*(2*a*b*sqrt(x) - sqrt(a*b)*(b*x - a)*log((b*x + a + 2*sqrt(a*b)*sqrt(x))/(b*x - a)))/(a^2*b^2*x - a^3*b), -(a*b*sqrt(x) + sqrt(-a*b)*(b*x - a)*arctan(sqrt(-a*b)/(b*sqrt(x))))/(a^2*b^2*x - a^3*b)]","A",0
480,1,151,0,0.847586," ","integrate(1/x^(3/2)/(b*x-a)^2,x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b x^{2} - a x\right)} \sqrt{\frac{b}{a}} \log\left(\frac{b x + 2 \, a \sqrt{x} \sqrt{\frac{b}{a}} + a}{b x - a}\right) - 2 \, {\left(3 \, b x - 2 \, a\right)} \sqrt{x}}{2 \, {\left(a^{2} b x^{2} - a^{3} x\right)}}, -\frac{3 \, {\left(b x^{2} - a x\right)} \sqrt{-\frac{b}{a}} \arctan\left(\frac{a \sqrt{-\frac{b}{a}}}{b \sqrt{x}}\right) + {\left(3 \, b x - 2 \, a\right)} \sqrt{x}}{a^{2} b x^{2} - a^{3} x}\right]"," ",0,"[1/2*(3*(b*x^2 - a*x)*sqrt(b/a)*log((b*x + 2*a*sqrt(x)*sqrt(b/a) + a)/(b*x - a)) - 2*(3*b*x - 2*a)*sqrt(x))/(a^2*b*x^2 - a^3*x), -(3*(b*x^2 - a*x)*sqrt(-b/a)*arctan(a*sqrt(-b/a)/(b*sqrt(x))) + (3*b*x - 2*a)*sqrt(x))/(a^2*b*x^2 - a^3*x)]","A",0
481,1,187,0,0.997679," ","integrate(1/x^(5/2)/(b*x-a)^2,x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{2} x^{3} - a b x^{2}\right)} \sqrt{\frac{b}{a}} \log\left(\frac{b x + 2 \, a \sqrt{x} \sqrt{\frac{b}{a}} + a}{b x - a}\right) - 2 \, {\left(15 \, b^{2} x^{2} - 10 \, a b x - 2 \, a^{2}\right)} \sqrt{x}}{6 \, {\left(a^{3} b x^{3} - a^{4} x^{2}\right)}}, -\frac{15 \, {\left(b^{2} x^{3} - a b x^{2}\right)} \sqrt{-\frac{b}{a}} \arctan\left(\frac{a \sqrt{-\frac{b}{a}}}{b \sqrt{x}}\right) + {\left(15 \, b^{2} x^{2} - 10 \, a b x - 2 \, a^{2}\right)} \sqrt{x}}{3 \, {\left(a^{3} b x^{3} - a^{4} x^{2}\right)}}\right]"," ",0,"[1/6*(15*(b^2*x^3 - a*b*x^2)*sqrt(b/a)*log((b*x + 2*a*sqrt(x)*sqrt(b/a) + a)/(b*x - a)) - 2*(15*b^2*x^2 - 10*a*b*x - 2*a^2)*sqrt(x))/(a^3*b*x^3 - a^4*x^2), -1/3*(15*(b^2*x^3 - a*b*x^2)*sqrt(-b/a)*arctan(a*sqrt(-b/a)/(b*sqrt(x))) + (15*b^2*x^2 - 10*a*b*x - 2*a^2)*sqrt(x))/(a^3*b*x^3 - a^4*x^2)]","A",0
482,1,227,0,0.785827," ","integrate(x^(7/2)/(b*x-a)^3,x, algorithm=""fricas"")","\left[\frac{105 \, {\left(a b^{2} x^{2} - 2 \, a^{2} b x + a^{3}\right)} \sqrt{\frac{a}{b}} \log\left(\frac{b x - 2 \, b \sqrt{x} \sqrt{\frac{a}{b}} + a}{b x - a}\right) + 2 \, {\left(8 \, b^{3} x^{3} + 56 \, a b^{2} x^{2} - 175 \, a^{2} b x + 105 \, a^{3}\right)} \sqrt{x}}{24 \, {\left(b^{6} x^{2} - 2 \, a b^{5} x + a^{2} b^{4}\right)}}, \frac{105 \, {\left(a b^{2} x^{2} - 2 \, a^{2} b x + a^{3}\right)} \sqrt{-\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{-\frac{a}{b}}}{a}\right) + {\left(8 \, b^{3} x^{3} + 56 \, a b^{2} x^{2} - 175 \, a^{2} b x + 105 \, a^{3}\right)} \sqrt{x}}{12 \, {\left(b^{6} x^{2} - 2 \, a b^{5} x + a^{2} b^{4}\right)}}\right]"," ",0,"[1/24*(105*(a*b^2*x^2 - 2*a^2*b*x + a^3)*sqrt(a/b)*log((b*x - 2*b*sqrt(x)*sqrt(a/b) + a)/(b*x - a)) + 2*(8*b^3*x^3 + 56*a*b^2*x^2 - 175*a^2*b*x + 105*a^3)*sqrt(x))/(b^6*x^2 - 2*a*b^5*x + a^2*b^4), 1/12*(105*(a*b^2*x^2 - 2*a^2*b*x + a^3)*sqrt(-a/b)*arctan(b*sqrt(x)*sqrt(-a/b)/a) + (8*b^3*x^3 + 56*a*b^2*x^2 - 175*a^2*b*x + 105*a^3)*sqrt(x))/(b^6*x^2 - 2*a*b^5*x + a^2*b^4)]","A",0
483,1,199,0,0.651181," ","integrate(x^(5/2)/(b*x-a)^3,x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \sqrt{\frac{a}{b}} \log\left(\frac{b x - 2 \, b \sqrt{x} \sqrt{\frac{a}{b}} + a}{b x - a}\right) + 2 \, {\left(8 \, b^{2} x^{2} - 25 \, a b x + 15 \, a^{2}\right)} \sqrt{x}}{8 \, {\left(b^{5} x^{2} - 2 \, a b^{4} x + a^{2} b^{3}\right)}}, \frac{15 \, {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \sqrt{-\frac{a}{b}} \arctan\left(\frac{b \sqrt{x} \sqrt{-\frac{a}{b}}}{a}\right) + {\left(8 \, b^{2} x^{2} - 25 \, a b x + 15 \, a^{2}\right)} \sqrt{x}}{4 \, {\left(b^{5} x^{2} - 2 \, a b^{4} x + a^{2} b^{3}\right)}}\right]"," ",0,"[1/8*(15*(b^2*x^2 - 2*a*b*x + a^2)*sqrt(a/b)*log((b*x - 2*b*sqrt(x)*sqrt(a/b) + a)/(b*x - a)) + 2*(8*b^2*x^2 - 25*a*b*x + 15*a^2)*sqrt(x))/(b^5*x^2 - 2*a*b^4*x + a^2*b^3), 1/4*(15*(b^2*x^2 - 2*a*b*x + a^2)*sqrt(-a/b)*arctan(b*sqrt(x)*sqrt(-a/b)/a) + (8*b^2*x^2 - 25*a*b*x + 15*a^2)*sqrt(x))/(b^5*x^2 - 2*a*b^4*x + a^2*b^3)]","A",0
484,1,186,0,0.708423," ","integrate(x^(3/2)/(b*x-a)^3,x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \sqrt{a b} \log\left(\frac{b x + a - 2 \, \sqrt{a b} \sqrt{x}}{b x - a}\right) - 2 \, {\left(5 \, a b^{2} x - 3 \, a^{2} b\right)} \sqrt{x}}{8 \, {\left(a b^{5} x^{2} - 2 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}, \frac{3 \, {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \sqrt{-a b} \arctan\left(\frac{\sqrt{-a b}}{b \sqrt{x}}\right) - {\left(5 \, a b^{2} x - 3 \, a^{2} b\right)} \sqrt{x}}{4 \, {\left(a b^{5} x^{2} - 2 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}\right]"," ",0,"[1/8*(3*(b^2*x^2 - 2*a*b*x + a^2)*sqrt(a*b)*log((b*x + a - 2*sqrt(a*b)*sqrt(x))/(b*x - a)) - 2*(5*a*b^2*x - 3*a^2*b)*sqrt(x))/(a*b^5*x^2 - 2*a^2*b^4*x + a^3*b^3), 1/4*(3*(b^2*x^2 - 2*a*b*x + a^2)*sqrt(-a*b)*arctan(sqrt(-a*b)/(b*sqrt(x))) - (5*a*b^2*x - 3*a^2*b)*sqrt(x))/(a*b^5*x^2 - 2*a^2*b^4*x + a^3*b^3)]","A",0
485,1,183,0,1.046215," ","integrate(x^(1/2)/(b*x-a)^3,x, algorithm=""fricas"")","\left[\frac{{\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \sqrt{a b} \log\left(\frac{b x + a + 2 \, \sqrt{a b} \sqrt{x}}{b x - a}\right) - 2 \, {\left(a b^{2} x + a^{2} b\right)} \sqrt{x}}{8 \, {\left(a^{2} b^{4} x^{2} - 2 \, a^{3} b^{3} x + a^{4} b^{2}\right)}}, -\frac{{\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \sqrt{-a b} \arctan\left(\frac{\sqrt{-a b}}{b \sqrt{x}}\right) + {\left(a b^{2} x + a^{2} b\right)} \sqrt{x}}{4 \, {\left(a^{2} b^{4} x^{2} - 2 \, a^{3} b^{3} x + a^{4} b^{2}\right)}}\right]"," ",0,"[1/8*((b^2*x^2 - 2*a*b*x + a^2)*sqrt(a*b)*log((b*x + a + 2*sqrt(a*b)*sqrt(x))/(b*x - a)) - 2*(a*b^2*x + a^2*b)*sqrt(x))/(a^2*b^4*x^2 - 2*a^3*b^3*x + a^4*b^2), -1/4*((b^2*x^2 - 2*a*b*x + a^2)*sqrt(-a*b)*arctan(sqrt(-a*b)/(b*sqrt(x))) + (a*b^2*x + a^2*b)*sqrt(x))/(a^2*b^4*x^2 - 2*a^3*b^3*x + a^4*b^2)]","A",0
486,1,185,0,1.002993," ","integrate(1/(b*x-a)^3/x^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \sqrt{a b} \log\left(\frac{b x + a - 2 \, \sqrt{a b} \sqrt{x}}{b x - a}\right) + 2 \, {\left(3 \, a b^{2} x - 5 \, a^{2} b\right)} \sqrt{x}}{8 \, {\left(a^{3} b^{3} x^{2} - 2 \, a^{4} b^{2} x + a^{5} b\right)}}, \frac{3 \, {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \sqrt{-a b} \arctan\left(\frac{\sqrt{-a b}}{b \sqrt{x}}\right) + {\left(3 \, a b^{2} x - 5 \, a^{2} b\right)} \sqrt{x}}{4 \, {\left(a^{3} b^{3} x^{2} - 2 \, a^{4} b^{2} x + a^{5} b\right)}}\right]"," ",0,"[1/8*(3*(b^2*x^2 - 2*a*b*x + a^2)*sqrt(a*b)*log((b*x + a - 2*sqrt(a*b)*sqrt(x))/(b*x - a)) + 2*(3*a*b^2*x - 5*a^2*b)*sqrt(x))/(a^3*b^3*x^2 - 2*a^4*b^2*x + a^5*b), 1/4*(3*(b^2*x^2 - 2*a*b*x + a^2)*sqrt(-a*b)*arctan(sqrt(-a*b)/(b*sqrt(x))) + (3*a*b^2*x - 5*a^2*b)*sqrt(x))/(a^3*b^3*x^2 - 2*a^4*b^2*x + a^5*b)]","A",0
487,1,213,0,0.971216," ","integrate(1/x^(3/2)/(b*x-a)^3,x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{2} x^{3} - 2 \, a b x^{2} + a^{2} x\right)} \sqrt{\frac{b}{a}} \log\left(\frac{b x - 2 \, a \sqrt{x} \sqrt{\frac{b}{a}} + a}{b x - a}\right) + 2 \, {\left(15 \, b^{2} x^{2} - 25 \, a b x + 8 \, a^{2}\right)} \sqrt{x}}{8 \, {\left(a^{3} b^{2} x^{3} - 2 \, a^{4} b x^{2} + a^{5} x\right)}}, \frac{15 \, {\left(b^{2} x^{3} - 2 \, a b x^{2} + a^{2} x\right)} \sqrt{-\frac{b}{a}} \arctan\left(\frac{a \sqrt{-\frac{b}{a}}}{b \sqrt{x}}\right) + {\left(15 \, b^{2} x^{2} - 25 \, a b x + 8 \, a^{2}\right)} \sqrt{x}}{4 \, {\left(a^{3} b^{2} x^{3} - 2 \, a^{4} b x^{2} + a^{5} x\right)}}\right]"," ",0,"[1/8*(15*(b^2*x^3 - 2*a*b*x^2 + a^2*x)*sqrt(b/a)*log((b*x - 2*a*sqrt(x)*sqrt(b/a) + a)/(b*x - a)) + 2*(15*b^2*x^2 - 25*a*b*x + 8*a^2)*sqrt(x))/(a^3*b^2*x^3 - 2*a^4*b*x^2 + a^5*x), 1/4*(15*(b^2*x^3 - 2*a*b*x^2 + a^2*x)*sqrt(-b/a)*arctan(a*sqrt(-b/a)/(b*sqrt(x))) + (15*b^2*x^2 - 25*a*b*x + 8*a^2)*sqrt(x))/(a^3*b^2*x^3 - 2*a^4*b*x^2 + a^5*x)]","A",0
488,1,249,0,1.014491," ","integrate(1/x^(5/2)/(b*x-a)^3,x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{3} x^{4} - 2 \, a b^{2} x^{3} + a^{2} b x^{2}\right)} \sqrt{\frac{b}{a}} \log\left(\frac{b x - 2 \, a \sqrt{x} \sqrt{\frac{b}{a}} + a}{b x - a}\right) + 2 \, {\left(105 \, b^{3} x^{3} - 175 \, a b^{2} x^{2} + 56 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{x}}{24 \, {\left(a^{4} b^{2} x^{4} - 2 \, a^{5} b x^{3} + a^{6} x^{2}\right)}}, \frac{105 \, {\left(b^{3} x^{4} - 2 \, a b^{2} x^{3} + a^{2} b x^{2}\right)} \sqrt{-\frac{b}{a}} \arctan\left(\frac{a \sqrt{-\frac{b}{a}}}{b \sqrt{x}}\right) + {\left(105 \, b^{3} x^{3} - 175 \, a b^{2} x^{2} + 56 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{x}}{12 \, {\left(a^{4} b^{2} x^{4} - 2 \, a^{5} b x^{3} + a^{6} x^{2}\right)}}\right]"," ",0,"[1/24*(105*(b^3*x^4 - 2*a*b^2*x^3 + a^2*b*x^2)*sqrt(b/a)*log((b*x - 2*a*sqrt(x)*sqrt(b/a) + a)/(b*x - a)) + 2*(105*b^3*x^3 - 175*a*b^2*x^2 + 56*a^2*b*x + 8*a^3)*sqrt(x))/(a^4*b^2*x^4 - 2*a^5*b*x^3 + a^6*x^2), 1/12*(105*(b^3*x^4 - 2*a*b^2*x^3 + a^2*b*x^2)*sqrt(-b/a)*arctan(a*sqrt(-b/a)/(b*sqrt(x))) + (105*b^3*x^3 - 175*a*b^2*x^2 + 56*a^2*b*x + 8*a^3)*sqrt(x))/(a^4*b^2*x^4 - 2*a^5*b*x^3 + a^6*x^2)]","A",0
489,1,162,0,0.948015," ","integrate(x^(5/2)*(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{4} \sqrt{b} \log\left(2 \, b x - 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(48 \, b^{4} x^{3} + 8 \, a b^{3} x^{2} - 10 \, a^{2} b^{2} x + 15 \, a^{3} b\right)} \sqrt{b x + a} \sqrt{x}}{384 \, b^{4}}, \frac{15 \, a^{4} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(48 \, b^{4} x^{3} + 8 \, a b^{3} x^{2} - 10 \, a^{2} b^{2} x + 15 \, a^{3} b\right)} \sqrt{b x + a} \sqrt{x}}{192 \, b^{4}}\right]"," ",0,"[1/384*(15*a^4*sqrt(b)*log(2*b*x - 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(48*b^4*x^3 + 8*a*b^3*x^2 - 10*a^2*b^2*x + 15*a^3*b)*sqrt(b*x + a)*sqrt(x))/b^4, 1/192*(15*a^4*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + (48*b^4*x^3 + 8*a*b^3*x^2 - 10*a^2*b^2*x + 15*a^3*b)*sqrt(b*x + a)*sqrt(x))/b^4]","A",0
490,1,141,0,0.537192," ","integrate(x^(3/2)*(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{3} \sqrt{b} \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(8 \, b^{3} x^{2} + 2 \, a b^{2} x - 3 \, a^{2} b\right)} \sqrt{b x + a} \sqrt{x}}{48 \, b^{3}}, -\frac{3 \, a^{3} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) - {\left(8 \, b^{3} x^{2} + 2 \, a b^{2} x - 3 \, a^{2} b\right)} \sqrt{b x + a} \sqrt{x}}{24 \, b^{3}}\right]"," ",0,"[1/48*(3*a^3*sqrt(b)*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(8*b^3*x^2 + 2*a*b^2*x - 3*a^2*b)*sqrt(b*x + a)*sqrt(x))/b^3, -1/24*(3*a^3*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) - (8*b^3*x^2 + 2*a*b^2*x - 3*a^2*b)*sqrt(b*x + a)*sqrt(x))/b^3]","A",0
491,1,114,0,0.906223," ","integrate(x^(1/2)*(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{a^{2} \sqrt{b} \log\left(2 \, b x - 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(2 \, b^{2} x + a b\right)} \sqrt{b x + a} \sqrt{x}}{8 \, b^{2}}, \frac{a^{2} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(2 \, b^{2} x + a b\right)} \sqrt{b x + a} \sqrt{x}}{4 \, b^{2}}\right]"," ",0,"[1/8*(a^2*sqrt(b)*log(2*b*x - 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(2*b^2*x + a*b)*sqrt(b*x + a)*sqrt(x))/b^2, 1/4*(a^2*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + (2*b^2*x + a*b)*sqrt(b*x + a)*sqrt(x))/b^2]","A",0
492,1,93,0,0.947335," ","integrate((b*x+a)^(1/2)/x^(1/2),x, algorithm=""fricas"")","\left[\frac{a \sqrt{b} \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, \sqrt{b x + a} b \sqrt{x}}{2 \, b}, -\frac{a \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) - \sqrt{b x + a} b \sqrt{x}}{b}\right]"," ",0,"[1/2*(a*sqrt(b)*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*sqrt(b*x + a)*b*sqrt(x))/b, -(a*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) - sqrt(b*x + a)*b*sqrt(x))/b]","A",0
493,1,89,0,0.928541," ","integrate((b*x+a)^(1/2)/x^(3/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b} x \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) - 2 \, \sqrt{b x + a} \sqrt{x}}{x}, -\frac{2 \, {\left(\sqrt{-b} x \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + \sqrt{b x + a} \sqrt{x}\right)}}{x}\right]"," ",0,"[(sqrt(b)*x*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) - 2*sqrt(b*x + a)*sqrt(x))/x, -2*(sqrt(-b)*x*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + sqrt(b*x + a)*sqrt(x))/x]","A",0
494,1,15,0,1.005717," ","integrate((b*x+a)^(1/2)/x^(5/2),x, algorithm=""fricas"")","-\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
495,1,34,0,0.693886," ","integrate((b*x+a)^(1/2)/x^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, b^{2} x^{2} - a b x - 3 \, a^{2}\right)} \sqrt{b x + a}}{15 \, a^{2} x^{\frac{5}{2}}}"," ",0,"2/15*(2*b^2*x^2 - a*b*x - 3*a^2)*sqrt(b*x + a)/(a^2*x^(5/2))","A",0
496,1,45,0,0.759665," ","integrate((b*x+a)^(1/2)/x^(9/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(8 \, b^{3} x^{3} - 4 \, a b^{2} x^{2} + 3 \, a^{2} b x + 15 \, a^{3}\right)} \sqrt{b x + a}}{105 \, a^{3} x^{\frac{7}{2}}}"," ",0,"-2/105*(8*b^3*x^3 - 4*a*b^2*x^2 + 3*a^2*b*x + 15*a^3)*sqrt(b*x + a)/(a^3*x^(7/2))","A",0
497,1,164,0,0.949718," ","integrate(x^(5/2)*(-b*x+a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{15 \, a^{4} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, {\left(48 \, b^{4} x^{3} - 8 \, a b^{3} x^{2} - 10 \, a^{2} b^{2} x - 15 \, a^{3} b\right)} \sqrt{-b x + a} \sqrt{x}}{384 \, b^{4}}, -\frac{15 \, a^{4} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - {\left(48 \, b^{4} x^{3} - 8 \, a b^{3} x^{2} - 10 \, a^{2} b^{2} x - 15 \, a^{3} b\right)} \sqrt{-b x + a} \sqrt{x}}{192 \, b^{4}}\right]"," ",0,"[-1/384*(15*a^4*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*(48*b^4*x^3 - 8*a*b^3*x^2 - 10*a^2*b^2*x - 15*a^3*b)*sqrt(-b*x + a)*sqrt(x))/b^4, -1/192*(15*a^4*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - (48*b^4*x^3 - 8*a*b^3*x^2 - 10*a^2*b^2*x - 15*a^3*b)*sqrt(-b*x + a)*sqrt(x))/b^4]","A",0
498,1,142,0,1.022157," ","integrate(x^(3/2)*(-b*x+a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{3 \, a^{3} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, {\left(8 \, b^{3} x^{2} - 2 \, a b^{2} x - 3 \, a^{2} b\right)} \sqrt{-b x + a} \sqrt{x}}{48 \, b^{3}}, -\frac{3 \, a^{3} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - {\left(8 \, b^{3} x^{2} - 2 \, a b^{2} x - 3 \, a^{2} b\right)} \sqrt{-b x + a} \sqrt{x}}{24 \, b^{3}}\right]"," ",0,"[-1/48*(3*a^3*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*(8*b^3*x^2 - 2*a*b^2*x - 3*a^2*b)*sqrt(-b*x + a)*sqrt(x))/b^3, -1/24*(3*a^3*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - (8*b^3*x^2 - 2*a*b^2*x - 3*a^2*b)*sqrt(-b*x + a)*sqrt(x))/b^3]","A",0
499,1,118,0,0.904286," ","integrate(x^(1/2)*(-b*x+a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{a^{2} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, {\left(2 \, b^{2} x - a b\right)} \sqrt{-b x + a} \sqrt{x}}{8 \, b^{2}}, -\frac{a^{2} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - {\left(2 \, b^{2} x - a b\right)} \sqrt{-b x + a} \sqrt{x}}{4 \, b^{2}}\right]"," ",0,"[-1/8*(a^2*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*(2*b^2*x - a*b)*sqrt(-b*x + a)*sqrt(x))/b^2, -1/4*(a^2*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - (2*b^2*x - a*b)*sqrt(-b*x + a)*sqrt(x))/b^2]","A",0
500,1,94,0,0.981726," ","integrate((-b*x+a)^(1/2)/x^(1/2),x, algorithm=""fricas"")","\left[-\frac{a \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, \sqrt{-b x + a} b \sqrt{x}}{2 \, b}, -\frac{a \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - \sqrt{-b x + a} b \sqrt{x}}{b}\right]"," ",0,"[-1/2*(a*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*sqrt(-b*x + a)*b*sqrt(x))/b, -(a*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - sqrt(-b*x + a)*b*sqrt(x))/b]","A",0
501,1,91,0,0.746865," ","integrate((-b*x+a)^(1/2)/x^(3/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{-b} x \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, \sqrt{-b x + a} \sqrt{x}}{x}, \frac{2 \, {\left(\sqrt{b} x \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - \sqrt{-b x + a} \sqrt{x}\right)}}{x}\right]"," ",0,"[(sqrt(-b)*x*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*sqrt(-b*x + a)*sqrt(x))/x, 2*(sqrt(b)*x*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - sqrt(-b*x + a)*sqrt(x))/x]","A",0
502,1,23,0,1.022521," ","integrate((-b*x+a)^(1/2)/x^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b x - a\right)} \sqrt{-b x + a}}{3 \, a x^{\frac{3}{2}}}"," ",0,"2/3*(b*x - a)*sqrt(-b*x + a)/(a*x^(3/2))","A",0
503,1,34,0,0.864700," ","integrate((-b*x+a)^(1/2)/x^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, b^{2} x^{2} + a b x - 3 \, a^{2}\right)} \sqrt{-b x + a}}{15 \, a^{2} x^{\frac{5}{2}}}"," ",0,"2/15*(2*b^2*x^2 + a*b*x - 3*a^2)*sqrt(-b*x + a)/(a^2*x^(5/2))","A",0
504,1,46,0,0.957067," ","integrate((-b*x+a)^(1/2)/x^(9/2),x, algorithm=""fricas"")","\frac{2 \, {\left(8 \, b^{3} x^{3} + 4 \, a b^{2} x^{2} + 3 \, a^{2} b x - 15 \, a^{3}\right)} \sqrt{-b x + a}}{105 \, a^{3} x^{\frac{7}{2}}}"," ",0,"2/105*(8*b^3*x^3 + 4*a*b^2*x^2 + 3*a^2*b*x - 15*a^3)*sqrt(-b*x + a)/(a^3*x^(7/2))","A",0
505,1,140,0,0.916832," ","integrate(x^(5/2)*(b*x+2)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(6 \, b^{4} x^{3} + 2 \, b^{3} x^{2} - 5 \, b^{2} x + 15 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 15 \, \sqrt{b} \log\left(b x - \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{24 \, b^{4}}, \frac{{\left(6 \, b^{4} x^{3} + 2 \, b^{3} x^{2} - 5 \, b^{2} x + 15 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 30 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{24 \, b^{4}}\right]"," ",0,"[1/24*((6*b^4*x^3 + 2*b^3*x^2 - 5*b^2*x + 15*b)*sqrt(b*x + 2)*sqrt(x) + 15*sqrt(b)*log(b*x - sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b^4, 1/24*((6*b^4*x^3 + 2*b^3*x^2 - 5*b^2*x + 15*b)*sqrt(b*x + 2)*sqrt(x) + 30*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b^4]","A",0
506,1,121,0,0.918471," ","integrate(x^(3/2)*(b*x+2)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(2 \, b^{3} x^{2} + b^{2} x - 3 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 3 \, \sqrt{b} \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{6 \, b^{3}}, \frac{{\left(2 \, b^{3} x^{2} + b^{2} x - 3 \, b\right)} \sqrt{b x + 2} \sqrt{x} - 6 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{6 \, b^{3}}\right]"," ",0,"[1/6*((2*b^3*x^2 + b^2*x - 3*b)*sqrt(b*x + 2)*sqrt(x) + 3*sqrt(b)*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b^3, 1/6*((2*b^3*x^2 + b^2*x - 3*b)*sqrt(b*x + 2)*sqrt(x) - 6*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b^3]","A",0
507,1,101,0,1.136333," ","integrate(x^(1/2)*(b*x+2)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(b^{2} x + b\right)} \sqrt{b x + 2} \sqrt{x} + \sqrt{b} \log\left(b x - \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{2 \, b^{2}}, \frac{{\left(b^{2} x + b\right)} \sqrt{b x + 2} \sqrt{x} + 2 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{2 \, b^{2}}\right]"," ",0,"[1/2*((b^2*x + b)*sqrt(b*x + 2)*sqrt(x) + sqrt(b)*log(b*x - sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b^2, 1/2*((b^2*x + b)*sqrt(b*x + 2)*sqrt(x) + 2*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b^2]","A",0
508,1,86,0,1.198029," ","integrate((b*x+2)^(1/2)/x^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b x + 2} b \sqrt{x} + \sqrt{b} \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{b}, \frac{\sqrt{b x + 2} b \sqrt{x} - 2 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{b}\right]"," ",0,"[(sqrt(b*x + 2)*b*sqrt(x) + sqrt(b)*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b, (sqrt(b*x + 2)*b*sqrt(x) - 2*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b]","A",0
509,1,87,0,1.024926," ","integrate((b*x+2)^(1/2)/x^(3/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b} x \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right) - 2 \, \sqrt{b x + 2} \sqrt{x}}{x}, -\frac{2 \, {\left(\sqrt{-b} x \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right) + \sqrt{b x + 2} \sqrt{x}\right)}}{x}\right]"," ",0,"[(sqrt(b)*x*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1) - 2*sqrt(b*x + 2)*sqrt(x))/x, -2*(sqrt(-b)*x*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))) + sqrt(b*x + 2)*sqrt(x))/x]","A",0
510,1,12,0,0.781081," ","integrate((b*x+2)^(1/2)/x^(5/2),x, algorithm=""fricas"")","-\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
511,1,25,0,1.037730," ","integrate((b*x+2)^(1/2)/x^(7/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} - b x - 6\right)} \sqrt{b x + 2}}{15 \, x^{\frac{5}{2}}}"," ",0,"1/15*(b^2*x^2 - b*x - 6)*sqrt(b*x + 2)/x^(5/2)","A",0
512,1,34,0,1.252962," ","integrate((b*x+2)^(1/2)/x^(9/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, b^{3} x^{3} - 2 \, b^{2} x^{2} + 3 \, b x + 30\right)} \sqrt{b x + 2}}{105 \, x^{\frac{7}{2}}}"," ",0,"-1/105*(2*b^3*x^3 - 2*b^2*x^2 + 3*b*x + 30)*sqrt(b*x + 2)/x^(7/2)","A",0
513,1,141,0,1.043397," ","integrate(x^(5/2)*(-b*x+2)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(6 \, b^{4} x^{3} - 2 \, b^{3} x^{2} - 5 \, b^{2} x - 15 \, b\right)} \sqrt{-b x + 2} \sqrt{x} - 15 \, \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{24 \, b^{4}}, \frac{{\left(6 \, b^{4} x^{3} - 2 \, b^{3} x^{2} - 5 \, b^{2} x - 15 \, b\right)} \sqrt{-b x + 2} \sqrt{x} - 30 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{24 \, b^{4}}\right]"," ",0,"[1/24*((6*b^4*x^3 - 2*b^3*x^2 - 5*b^2*x - 15*b)*sqrt(-b*x + 2)*sqrt(x) - 15*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b^4, 1/24*((6*b^4*x^3 - 2*b^3*x^2 - 5*b^2*x - 15*b)*sqrt(-b*x + 2)*sqrt(x) - 30*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b^4]","A",0
514,1,125,0,1.030224," ","integrate(x^(3/2)*(-b*x+2)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(2 \, b^{3} x^{2} - b^{2} x - 3 \, b\right)} \sqrt{-b x + 2} \sqrt{x} - 3 \, \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{6 \, b^{3}}, \frac{{\left(2 \, b^{3} x^{2} - b^{2} x - 3 \, b\right)} \sqrt{-b x + 2} \sqrt{x} - 6 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{6 \, b^{3}}\right]"," ",0,"[1/6*((2*b^3*x^2 - b^2*x - 3*b)*sqrt(-b*x + 2)*sqrt(x) - 3*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b^3, 1/6*((2*b^3*x^2 - b^2*x - 3*b)*sqrt(-b*x + 2)*sqrt(x) - 6*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b^3]","A",0
515,1,107,0,1.198420," ","integrate(x^(1/2)*(-b*x+2)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(b^{2} x - b\right)} \sqrt{-b x + 2} \sqrt{x} - \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{2 \, b^{2}}, \frac{{\left(b^{2} x - b\right)} \sqrt{-b x + 2} \sqrt{x} - 2 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{2 \, b^{2}}\right]"," ",0,"[1/2*((b^2*x - b)*sqrt(-b*x + 2)*sqrt(x) - sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b^2, 1/2*((b^2*x - b)*sqrt(-b*x + 2)*sqrt(x) - 2*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b^2]","A",0
516,1,89,0,1.218216," ","integrate((-b*x+2)^(1/2)/x^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{-b x + 2} b \sqrt{x} - \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{b}, \frac{\sqrt{-b x + 2} b \sqrt{x} - 2 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b}\right]"," ",0,"[(sqrt(-b*x + 2)*b*sqrt(x) - sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b, (sqrt(-b*x + 2)*b*sqrt(x) - 2*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b]","A",0
517,1,90,0,1.235313," ","integrate((-b*x+2)^(1/2)/x^(3/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{-b} x \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right) - 2 \, \sqrt{-b x + 2} \sqrt{x}}{x}, \frac{2 \, {\left(\sqrt{b} x \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) - \sqrt{-b x + 2} \sqrt{x}\right)}}{x}\right]"," ",0,"[(sqrt(-b)*x*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1) - 2*sqrt(-b*x + 2)*sqrt(x))/x, 2*(sqrt(b)*x*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) - sqrt(-b*x + 2)*sqrt(x))/x]","A",0
518,1,18,0,1.292066," ","integrate((-b*x+2)^(1/2)/x^(5/2),x, algorithm=""fricas"")","\frac{{\left(b x - 2\right)} \sqrt{-b x + 2}}{3 \, x^{\frac{3}{2}}}"," ",0,"1/3*(b*x - 2)*sqrt(-b*x + 2)/x^(3/2)","A",0
519,1,25,0,0.667230," ","integrate((-b*x+2)^(1/2)/x^(7/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + b x - 6\right)} \sqrt{-b x + 2}}{15 \, x^{\frac{5}{2}}}"," ",0,"1/15*(b^2*x^2 + b*x - 6)*sqrt(-b*x + 2)/x^(5/2)","A",0
520,1,35,0,0.903995," ","integrate((-b*x+2)^(1/2)/x^(9/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{3} x^{3} + 2 \, b^{2} x^{2} + 3 \, b x - 30\right)} \sqrt{-b x + 2}}{105 \, x^{\frac{7}{2}}}"," ",0,"1/105*(2*b^3*x^3 + 2*b^2*x^2 + 3*b*x - 30)*sqrt(-b*x + 2)/x^(7/2)","A",0
521,1,184,0,1.095855," ","integrate(x^(5/2)*(b*x+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{5} \sqrt{b} \log\left(2 \, b x - 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(128 \, b^{5} x^{4} + 176 \, a b^{4} x^{3} + 8 \, a^{2} b^{3} x^{2} - 10 \, a^{3} b^{2} x + 15 \, a^{4} b\right)} \sqrt{b x + a} \sqrt{x}}{1280 \, b^{4}}, \frac{15 \, a^{5} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(128 \, b^{5} x^{4} + 176 \, a b^{4} x^{3} + 8 \, a^{2} b^{3} x^{2} - 10 \, a^{3} b^{2} x + 15 \, a^{4} b\right)} \sqrt{b x + a} \sqrt{x}}{640 \, b^{4}}\right]"," ",0,"[1/1280*(15*a^5*sqrt(b)*log(2*b*x - 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(128*b^5*x^4 + 176*a*b^4*x^3 + 8*a^2*b^3*x^2 - 10*a^3*b^2*x + 15*a^4*b)*sqrt(b*x + a)*sqrt(x))/b^4, 1/640*(15*a^5*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + (128*b^5*x^4 + 176*a*b^4*x^3 + 8*a^2*b^3*x^2 - 10*a^3*b^2*x + 15*a^4*b)*sqrt(b*x + a)*sqrt(x))/b^4]","A",0
522,1,163,0,0.697703," ","integrate(x^(3/2)*(b*x+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{4} \sqrt{b} \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(16 \, b^{4} x^{3} + 24 \, a b^{3} x^{2} + 2 \, a^{2} b^{2} x - 3 \, a^{3} b\right)} \sqrt{b x + a} \sqrt{x}}{128 \, b^{3}}, -\frac{3 \, a^{4} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) - {\left(16 \, b^{4} x^{3} + 24 \, a b^{3} x^{2} + 2 \, a^{2} b^{2} x - 3 \, a^{3} b\right)} \sqrt{b x + a} \sqrt{x}}{64 \, b^{3}}\right]"," ",0,"[1/128*(3*a^4*sqrt(b)*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(16*b^4*x^3 + 24*a*b^3*x^2 + 2*a^2*b^2*x - 3*a^3*b)*sqrt(b*x + a)*sqrt(x))/b^3, -1/64*(3*a^4*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) - (16*b^4*x^3 + 24*a*b^3*x^2 + 2*a^2*b^2*x - 3*a^3*b)*sqrt(b*x + a)*sqrt(x))/b^3]","A",0
523,1,140,0,0.718028," ","integrate((b*x+a)^(3/2)*x^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{3} \sqrt{b} \log\left(2 \, b x - 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(8 \, b^{3} x^{2} + 14 \, a b^{2} x + 3 \, a^{2} b\right)} \sqrt{b x + a} \sqrt{x}}{48 \, b^{2}}, \frac{3 \, a^{3} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(8 \, b^{3} x^{2} + 14 \, a b^{2} x + 3 \, a^{2} b\right)} \sqrt{b x + a} \sqrt{x}}{24 \, b^{2}}\right]"," ",0,"[1/48*(3*a^3*sqrt(b)*log(2*b*x - 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(8*b^3*x^2 + 14*a*b^2*x + 3*a^2*b)*sqrt(b*x + a)*sqrt(x))/b^2, 1/24*(3*a^3*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + (8*b^3*x^2 + 14*a*b^2*x + 3*a^2*b)*sqrt(b*x + a)*sqrt(x))/b^2]","A",0
524,1,119,0,1.103917," ","integrate((b*x+a)^(3/2)/x^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{2} \sqrt{b} \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(2 \, b^{2} x + 5 \, a b\right)} \sqrt{b x + a} \sqrt{x}}{8 \, b}, -\frac{3 \, a^{2} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) - {\left(2 \, b^{2} x + 5 \, a b\right)} \sqrt{b x + a} \sqrt{x}}{4 \, b}\right]"," ",0,"[1/8*(3*a^2*sqrt(b)*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(2*b^2*x + 5*a*b)*sqrt(b*x + a)*sqrt(x))/b, -1/4*(3*a^2*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) - (2*b^2*x + 5*a*b)*sqrt(b*x + a)*sqrt(x))/b]","A",0
525,1,109,0,1.331164," ","integrate((b*x+a)^(3/2)/x^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, a \sqrt{b} x \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, \sqrt{b x + a} {\left(b x - 2 \, a\right)} \sqrt{x}}{2 \, x}, -\frac{3 \, a \sqrt{-b} x \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) - \sqrt{b x + a} {\left(b x - 2 \, a\right)} \sqrt{x}}{x}\right]"," ",0,"[1/2*(3*a*sqrt(b)*x*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*sqrt(b*x + a)*(b*x - 2*a)*sqrt(x))/x, -(3*a*sqrt(-b)*x*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) - sqrt(b*x + a)*(b*x - 2*a)*sqrt(x))/x]","A",0
526,1,109,0,0.904806," ","integrate((b*x+a)^(3/2)/x^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, b^{\frac{3}{2}} x^{2} \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) - 2 \, {\left(4 \, b x + a\right)} \sqrt{b x + a} \sqrt{x}}{3 \, x^{2}}, -\frac{2 \, {\left(3 \, \sqrt{-b} b x^{2} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(4 \, b x + a\right)} \sqrt{b x + a} \sqrt{x}\right)}}{3 \, x^{2}}\right]"," ",0,"[1/3*(3*b^(3/2)*x^2*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) - 2*(4*b*x + a)*sqrt(b*x + a)*sqrt(x))/x^2, -2/3*(3*sqrt(-b)*b*x^2*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + (4*b*x + a)*sqrt(b*x + a)*sqrt(x))/x^2]","A",0
527,1,185,0,1.089581," ","integrate(x^(5/2)*(-b*x+a)^(3/2),x, algorithm=""fricas"")","\left[-\frac{15 \, a^{5} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) + 2 \, {\left(128 \, b^{5} x^{4} - 176 \, a b^{4} x^{3} + 8 \, a^{2} b^{3} x^{2} + 10 \, a^{3} b^{2} x + 15 \, a^{4} b\right)} \sqrt{-b x + a} \sqrt{x}}{1280 \, b^{4}}, -\frac{15 \, a^{5} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + {\left(128 \, b^{5} x^{4} - 176 \, a b^{4} x^{3} + 8 \, a^{2} b^{3} x^{2} + 10 \, a^{3} b^{2} x + 15 \, a^{4} b\right)} \sqrt{-b x + a} \sqrt{x}}{640 \, b^{4}}\right]"," ",0,"[-1/1280*(15*a^5*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) + 2*(128*b^5*x^4 - 176*a*b^4*x^3 + 8*a^2*b^3*x^2 + 10*a^3*b^2*x + 15*a^4*b)*sqrt(-b*x + a)*sqrt(x))/b^4, -1/640*(15*a^5*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + (128*b^5*x^4 - 176*a*b^4*x^3 + 8*a^2*b^3*x^2 + 10*a^3*b^2*x + 15*a^4*b)*sqrt(-b*x + a)*sqrt(x))/b^4]","A",0
528,1,163,0,1.116213," ","integrate(x^(3/2)*(-b*x+a)^(3/2),x, algorithm=""fricas"")","\left[-\frac{3 \, a^{4} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) + 2 \, {\left(16 \, b^{4} x^{3} - 24 \, a b^{3} x^{2} + 2 \, a^{2} b^{2} x + 3 \, a^{3} b\right)} \sqrt{-b x + a} \sqrt{x}}{128 \, b^{3}}, -\frac{3 \, a^{4} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + {\left(16 \, b^{4} x^{3} - 24 \, a b^{3} x^{2} + 2 \, a^{2} b^{2} x + 3 \, a^{3} b\right)} \sqrt{-b x + a} \sqrt{x}}{64 \, b^{3}}\right]"," ",0,"[-1/128*(3*a^4*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) + 2*(16*b^4*x^3 - 24*a*b^3*x^2 + 2*a^2*b^2*x + 3*a^3*b)*sqrt(-b*x + a)*sqrt(x))/b^3, -1/64*(3*a^4*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + (16*b^4*x^3 - 24*a*b^3*x^2 + 2*a^2*b^2*x + 3*a^3*b)*sqrt(-b*x + a)*sqrt(x))/b^3]","A",0
529,1,141,0,1.164620," ","integrate((-b*x+a)^(3/2)*x^(1/2),x, algorithm=""fricas"")","\left[-\frac{3 \, a^{3} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) + 2 \, {\left(8 \, b^{3} x^{2} - 14 \, a b^{2} x + 3 \, a^{2} b\right)} \sqrt{-b x + a} \sqrt{x}}{48 \, b^{2}}, -\frac{3 \, a^{3} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + {\left(8 \, b^{3} x^{2} - 14 \, a b^{2} x + 3 \, a^{2} b\right)} \sqrt{-b x + a} \sqrt{x}}{24 \, b^{2}}\right]"," ",0,"[-1/48*(3*a^3*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) + 2*(8*b^3*x^2 - 14*a*b^2*x + 3*a^2*b)*sqrt(-b*x + a)*sqrt(x))/b^2, -1/24*(3*a^3*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + (8*b^3*x^2 - 14*a*b^2*x + 3*a^2*b)*sqrt(-b*x + a)*sqrt(x))/b^2]","A",0
530,1,119,0,1.425349," ","integrate((-b*x+a)^(3/2)/x^(1/2),x, algorithm=""fricas"")","\left[-\frac{3 \, a^{2} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) + 2 \, {\left(2 \, b^{2} x - 5 \, a b\right)} \sqrt{-b x + a} \sqrt{x}}{8 \, b}, -\frac{3 \, a^{2} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + {\left(2 \, b^{2} x - 5 \, a b\right)} \sqrt{-b x + a} \sqrt{x}}{4 \, b}\right]"," ",0,"[-1/8*(3*a^2*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) + 2*(2*b^2*x - 5*a*b)*sqrt(-b*x + a)*sqrt(x))/b, -1/4*(3*a^2*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + (2*b^2*x - 5*a*b)*sqrt(-b*x + a)*sqrt(x))/b]","A",0
531,1,109,0,1.149822," ","integrate((-b*x+a)^(3/2)/x^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, a \sqrt{-b} x \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, {\left(b x + 2 \, a\right)} \sqrt{-b x + a} \sqrt{x}}{2 \, x}, \frac{3 \, a \sqrt{b} x \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - {\left(b x + 2 \, a\right)} \sqrt{-b x + a} \sqrt{x}}{x}\right]"," ",0,"[1/2*(3*a*sqrt(-b)*x*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*(b*x + 2*a)*sqrt(-b*x + a)*sqrt(x))/x, (3*a*sqrt(b)*x*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - (b*x + 2*a)*sqrt(-b*x + a)*sqrt(x))/x]","A",0
532,1,115,0,1.619620," ","integrate((-b*x+a)^(3/2)/x^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{-b} b x^{2} \log\left(-2 \, b x - 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) + 2 \, {\left(4 \, b x - a\right)} \sqrt{-b x + a} \sqrt{x}}{3 \, x^{2}}, -\frac{2 \, {\left(3 \, b^{\frac{3}{2}} x^{2} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - {\left(4 \, b x - a\right)} \sqrt{-b x + a} \sqrt{x}\right)}}{3 \, x^{2}}\right]"," ",0,"[1/3*(3*sqrt(-b)*b*x^2*log(-2*b*x - 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) + 2*(4*b*x - a)*sqrt(-b*x + a)*sqrt(x))/x^2, -2/3*(3*b^(3/2)*x^2*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - (4*b*x - a)*sqrt(-b*x + a)*sqrt(x))/x^2]","A",0
533,1,156,0,1.182338," ","integrate(x^(5/2)*(b*x+2)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(8 \, b^{5} x^{4} + 22 \, b^{4} x^{3} + 2 \, b^{3} x^{2} - 5 \, b^{2} x + 15 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 15 \, \sqrt{b} \log\left(b x - \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{40 \, b^{4}}, \frac{{\left(8 \, b^{5} x^{4} + 22 \, b^{4} x^{3} + 2 \, b^{3} x^{2} - 5 \, b^{2} x + 15 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 30 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{40 \, b^{4}}\right]"," ",0,"[1/40*((8*b^5*x^4 + 22*b^4*x^3 + 2*b^3*x^2 - 5*b^2*x + 15*b)*sqrt(b*x + 2)*sqrt(x) + 15*sqrt(b)*log(b*x - sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b^4, 1/40*((8*b^5*x^4 + 22*b^4*x^3 + 2*b^3*x^2 - 5*b^2*x + 15*b)*sqrt(b*x + 2)*sqrt(x) + 30*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b^4]","A",0
534,1,137,0,1.307715," ","integrate(x^(3/2)*(b*x+2)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(2 \, b^{4} x^{3} + 6 \, b^{3} x^{2} + b^{2} x - 3 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 3 \, \sqrt{b} \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{8 \, b^{3}}, \frac{{\left(2 \, b^{4} x^{3} + 6 \, b^{3} x^{2} + b^{2} x - 3 \, b\right)} \sqrt{b x + 2} \sqrt{x} - 6 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{8 \, b^{3}}\right]"," ",0,"[1/8*((2*b^4*x^3 + 6*b^3*x^2 + b^2*x - 3*b)*sqrt(b*x + 2)*sqrt(x) + 3*sqrt(b)*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b^3, 1/8*((2*b^4*x^3 + 6*b^3*x^2 + b^2*x - 3*b)*sqrt(b*x + 2)*sqrt(x) - 6*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b^3]","A",0
535,1,124,0,1.408916," ","integrate((b*x+2)^(3/2)*x^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(2 \, b^{3} x^{2} + 7 \, b^{2} x + 3 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 3 \, \sqrt{b} \log\left(b x - \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{6 \, b^{2}}, \frac{{\left(2 \, b^{3} x^{2} + 7 \, b^{2} x + 3 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 6 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{6 \, b^{2}}\right]"," ",0,"[1/6*((2*b^3*x^2 + 7*b^2*x + 3*b)*sqrt(b*x + 2)*sqrt(x) + 3*sqrt(b)*log(b*x - sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b^2, 1/6*((2*b^3*x^2 + 7*b^2*x + 3*b)*sqrt(b*x + 2)*sqrt(x) + 6*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b^2]","A",0
536,1,105,0,1.512550," ","integrate((b*x+2)^(3/2)/x^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(b^{2} x + 5 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 3 \, \sqrt{b} \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{2 \, b}, \frac{{\left(b^{2} x + 5 \, b\right)} \sqrt{b x + 2} \sqrt{x} - 6 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{2 \, b}\right]"," ",0,"[1/2*((b^2*x + 5*b)*sqrt(b*x + 2)*sqrt(x) + 3*sqrt(b)*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b, 1/2*((b^2*x + 5*b)*sqrt(b*x + 2)*sqrt(x) - 6*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b]","A",0
537,1,99,0,1.228016," ","integrate((b*x+2)^(3/2)/x^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{b} x \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right) + \sqrt{b x + 2} {\left(b x - 4\right)} \sqrt{x}}{x}, -\frac{6 \, \sqrt{-b} x \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right) - \sqrt{b x + 2} {\left(b x - 4\right)} \sqrt{x}}{x}\right]"," ",0,"[(3*sqrt(b)*x*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1) + sqrt(b*x + 2)*(b*x - 4)*sqrt(x))/x, -(6*sqrt(-b)*x*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))) - sqrt(b*x + 2)*(b*x - 4)*sqrt(x))/x]","A",0
538,1,108,0,1.306512," ","integrate((b*x+2)^(3/2)/x^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, b^{\frac{3}{2}} x^{2} \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right) - 4 \, {\left(2 \, b x + 1\right)} \sqrt{b x + 2} \sqrt{x}}{3 \, x^{2}}, -\frac{2 \, {\left(3 \, \sqrt{-b} b x^{2} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right) + 2 \, {\left(2 \, b x + 1\right)} \sqrt{b x + 2} \sqrt{x}\right)}}{3 \, x^{2}}\right]"," ",0,"[1/3*(3*b^(3/2)*x^2*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1) - 4*(2*b*x + 1)*sqrt(b*x + 2)*sqrt(x))/x^2, -2/3*(3*sqrt(-b)*b*x^2*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))) + 2*(2*b*x + 1)*sqrt(b*x + 2)*sqrt(x))/x^2]","A",0
539,1,157,0,0.905894," ","integrate(x^(5/2)*(-b*x+2)^(3/2),x, algorithm=""fricas"")","\left[-\frac{{\left(8 \, b^{5} x^{4} - 22 \, b^{4} x^{3} + 2 \, b^{3} x^{2} + 5 \, b^{2} x + 15 \, b\right)} \sqrt{-b x + 2} \sqrt{x} + 15 \, \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{40 \, b^{4}}, -\frac{{\left(8 \, b^{5} x^{4} - 22 \, b^{4} x^{3} + 2 \, b^{3} x^{2} + 5 \, b^{2} x + 15 \, b\right)} \sqrt{-b x + 2} \sqrt{x} + 30 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{40 \, b^{4}}\right]"," ",0,"[-1/40*((8*b^5*x^4 - 22*b^4*x^3 + 2*b^3*x^2 + 5*b^2*x + 15*b)*sqrt(-b*x + 2)*sqrt(x) + 15*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b^4, -1/40*((8*b^5*x^4 - 22*b^4*x^3 + 2*b^3*x^2 + 5*b^2*x + 15*b)*sqrt(-b*x + 2)*sqrt(x) + 30*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b^4]","A",0
540,1,139,0,1.119987," ","integrate(x^(3/2)*(-b*x+2)^(3/2),x, algorithm=""fricas"")","\left[-\frac{{\left(2 \, b^{4} x^{3} - 6 \, b^{3} x^{2} + b^{2} x + 3 \, b\right)} \sqrt{-b x + 2} \sqrt{x} + 3 \, \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{8 \, b^{3}}, -\frac{{\left(2 \, b^{4} x^{3} - 6 \, b^{3} x^{2} + b^{2} x + 3 \, b\right)} \sqrt{-b x + 2} \sqrt{x} + 6 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{8 \, b^{3}}\right]"," ",0,"[-1/8*((2*b^4*x^3 - 6*b^3*x^2 + b^2*x + 3*b)*sqrt(-b*x + 2)*sqrt(x) + 3*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b^3, -1/8*((2*b^4*x^3 - 6*b^3*x^2 + b^2*x + 3*b)*sqrt(-b*x + 2)*sqrt(x) + 6*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b^3]","A",0
541,1,125,0,1.308321," ","integrate((-b*x+2)^(3/2)*x^(1/2),x, algorithm=""fricas"")","\left[-\frac{{\left(2 \, b^{3} x^{2} - 7 \, b^{2} x + 3 \, b\right)} \sqrt{-b x + 2} \sqrt{x} + 3 \, \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{6 \, b^{2}}, -\frac{{\left(2 \, b^{3} x^{2} - 7 \, b^{2} x + 3 \, b\right)} \sqrt{-b x + 2} \sqrt{x} + 6 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{6 \, b^{2}}\right]"," ",0,"[-1/6*((2*b^3*x^2 - 7*b^2*x + 3*b)*sqrt(-b*x + 2)*sqrt(x) + 3*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b^2, -1/6*((2*b^3*x^2 - 7*b^2*x + 3*b)*sqrt(-b*x + 2)*sqrt(x) + 6*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b^2]","A",0
542,1,107,0,1.471082," ","integrate((-b*x+2)^(3/2)/x^(1/2),x, algorithm=""fricas"")","\left[-\frac{{\left(b^{2} x - 5 \, b\right)} \sqrt{-b x + 2} \sqrt{x} + 3 \, \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{2 \, b}, -\frac{{\left(b^{2} x - 5 \, b\right)} \sqrt{-b x + 2} \sqrt{x} + 6 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{2 \, b}\right]"," ",0,"[-1/2*((b^2*x - 5*b)*sqrt(-b*x + 2)*sqrt(x) + 3*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b, -1/2*((b^2*x - 5*b)*sqrt(-b*x + 2)*sqrt(x) + 6*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b]","A",0
543,1,101,0,0.744792," ","integrate((-b*x+2)^(3/2)/x^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{-b} x \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right) - {\left(b x + 4\right)} \sqrt{-b x + 2} \sqrt{x}}{x}, \frac{6 \, \sqrt{b} x \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) - {\left(b x + 4\right)} \sqrt{-b x + 2} \sqrt{x}}{x}\right]"," ",0,"[(3*sqrt(-b)*x*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1) - (b*x + 4)*sqrt(-b*x + 2)*sqrt(x))/x, (6*sqrt(b)*x*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) - (b*x + 4)*sqrt(-b*x + 2)*sqrt(x))/x]","A",0
544,1,111,0,1.152827," ","integrate((-b*x+2)^(3/2)/x^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{-b} b x^{2} \log\left(-b x - \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right) + 4 \, {\left(2 \, b x - 1\right)} \sqrt{-b x + 2} \sqrt{x}}{3 \, x^{2}}, -\frac{2 \, {\left(3 \, b^{\frac{3}{2}} x^{2} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) - 2 \, {\left(2 \, b x - 1\right)} \sqrt{-b x + 2} \sqrt{x}\right)}}{3 \, x^{2}}\right]"," ",0,"[1/3*(3*sqrt(-b)*b*x^2*log(-b*x - sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1) + 4*(2*b*x - 1)*sqrt(-b*x + 2)*sqrt(x))/x^2, -2/3*(3*b^(3/2)*x^2*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) - 2*(2*b*x - 1)*sqrt(-b*x + 2)*sqrt(x))/x^2]","A",0
545,1,206,0,0.781843," ","integrate(x^(5/2)*(b*x+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{6} \sqrt{b} \log\left(2 \, b x - 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(256 \, b^{6} x^{5} + 640 \, a b^{5} x^{4} + 432 \, a^{2} b^{4} x^{3} + 8 \, a^{3} b^{3} x^{2} - 10 \, a^{4} b^{2} x + 15 \, a^{5} b\right)} \sqrt{b x + a} \sqrt{x}}{3072 \, b^{4}}, \frac{15 \, a^{6} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(256 \, b^{6} x^{5} + 640 \, a b^{5} x^{4} + 432 \, a^{2} b^{4} x^{3} + 8 \, a^{3} b^{3} x^{2} - 10 \, a^{4} b^{2} x + 15 \, a^{5} b\right)} \sqrt{b x + a} \sqrt{x}}{1536 \, b^{4}}\right]"," ",0,"[1/3072*(15*a^6*sqrt(b)*log(2*b*x - 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(256*b^6*x^5 + 640*a*b^5*x^4 + 432*a^2*b^4*x^3 + 8*a^3*b^3*x^2 - 10*a^4*b^2*x + 15*a^5*b)*sqrt(b*x + a)*sqrt(x))/b^4, 1/1536*(15*a^6*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + (256*b^6*x^5 + 640*a*b^5*x^4 + 432*a^2*b^4*x^3 + 8*a^3*b^3*x^2 - 10*a^4*b^2*x + 15*a^5*b)*sqrt(b*x + a)*sqrt(x))/b^4]","A",0
546,1,185,0,1.345704," ","integrate(x^(3/2)*(b*x+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{5} \sqrt{b} \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(128 \, b^{5} x^{4} + 336 \, a b^{4} x^{3} + 248 \, a^{2} b^{3} x^{2} + 10 \, a^{3} b^{2} x - 15 \, a^{4} b\right)} \sqrt{b x + a} \sqrt{x}}{1280 \, b^{3}}, -\frac{15 \, a^{5} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) - {\left(128 \, b^{5} x^{4} + 336 \, a b^{4} x^{3} + 248 \, a^{2} b^{3} x^{2} + 10 \, a^{3} b^{2} x - 15 \, a^{4} b\right)} \sqrt{b x + a} \sqrt{x}}{640 \, b^{3}}\right]"," ",0,"[1/1280*(15*a^5*sqrt(b)*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(128*b^5*x^4 + 336*a*b^4*x^3 + 248*a^2*b^3*x^2 + 10*a^3*b^2*x - 15*a^4*b)*sqrt(b*x + a)*sqrt(x))/b^3, -1/640*(15*a^5*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) - (128*b^5*x^4 + 336*a*b^4*x^3 + 248*a^2*b^3*x^2 + 10*a^3*b^2*x - 15*a^4*b)*sqrt(b*x + a)*sqrt(x))/b^3]","A",0
547,1,162,0,1.453515," ","integrate((b*x+a)^(5/2)*x^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{4} \sqrt{b} \log\left(2 \, b x - 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(48 \, b^{4} x^{3} + 136 \, a b^{3} x^{2} + 118 \, a^{2} b^{2} x + 15 \, a^{3} b\right)} \sqrt{b x + a} \sqrt{x}}{384 \, b^{2}}, \frac{15 \, a^{4} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(48 \, b^{4} x^{3} + 136 \, a b^{3} x^{2} + 118 \, a^{2} b^{2} x + 15 \, a^{3} b\right)} \sqrt{b x + a} \sqrt{x}}{192 \, b^{2}}\right]"," ",0,"[1/384*(15*a^4*sqrt(b)*log(2*b*x - 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(48*b^4*x^3 + 136*a*b^3*x^2 + 118*a^2*b^2*x + 15*a^3*b)*sqrt(b*x + a)*sqrt(x))/b^2, 1/192*(15*a^4*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + (48*b^4*x^3 + 136*a*b^3*x^2 + 118*a^2*b^2*x + 15*a^3*b)*sqrt(b*x + a)*sqrt(x))/b^2]","A",0
548,1,141,0,1.509046," ","integrate((b*x+a)^(5/2)/x^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{3} \sqrt{b} \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(8 \, b^{3} x^{2} + 26 \, a b^{2} x + 33 \, a^{2} b\right)} \sqrt{b x + a} \sqrt{x}}{48 \, b}, -\frac{15 \, a^{3} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) - {\left(8 \, b^{3} x^{2} + 26 \, a b^{2} x + 33 \, a^{2} b\right)} \sqrt{b x + a} \sqrt{x}}{24 \, b}\right]"," ",0,"[1/48*(15*a^3*sqrt(b)*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(8*b^3*x^2 + 26*a*b^2*x + 33*a^2*b)*sqrt(b*x + a)*sqrt(x))/b, -1/24*(15*a^3*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) - (8*b^3*x^2 + 26*a*b^2*x + 33*a^2*b)*sqrt(b*x + a)*sqrt(x))/b]","A",0
549,1,137,0,1.386937," ","integrate((b*x+a)^(5/2)/x^(3/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{2} \sqrt{b} x \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(2 \, b^{2} x^{2} + 9 \, a b x - 8 \, a^{2}\right)} \sqrt{b x + a} \sqrt{x}}{8 \, x}, -\frac{15 \, a^{2} \sqrt{-b} x \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) - {\left(2 \, b^{2} x^{2} + 9 \, a b x - 8 \, a^{2}\right)} \sqrt{b x + a} \sqrt{x}}{4 \, x}\right]"," ",0,"[1/8*(15*a^2*sqrt(b)*x*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(2*b^2*x^2 + 9*a*b*x - 8*a^2)*sqrt(b*x + a)*sqrt(x))/x, -1/4*(15*a^2*sqrt(-b)*x*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) - (2*b^2*x^2 + 9*a*b*x - 8*a^2)*sqrt(b*x + a)*sqrt(x))/x]","A",0
550,1,138,0,1.529510," ","integrate((b*x+a)^(5/2)/x^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, a b^{\frac{3}{2}} x^{2} \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(3 \, b^{2} x^{2} - 14 \, a b x - 2 \, a^{2}\right)} \sqrt{b x + a} \sqrt{x}}{6 \, x^{2}}, -\frac{15 \, a \sqrt{-b} b x^{2} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) - {\left(3 \, b^{2} x^{2} - 14 \, a b x - 2 \, a^{2}\right)} \sqrt{b x + a} \sqrt{x}}{3 \, x^{2}}\right]"," ",0,"[1/6*(15*a*b^(3/2)*x^2*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(3*b^2*x^2 - 14*a*b*x - 2*a^2)*sqrt(b*x + a)*sqrt(x))/x^2, -1/3*(15*a*sqrt(-b)*b*x^2*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) - (3*b^2*x^2 - 14*a*b*x - 2*a^2)*sqrt(b*x + a)*sqrt(x))/x^2]","A",0
551,1,208,0,1.399035," ","integrate(x^(5/2)*(-b*x+a)^(5/2),x, algorithm=""fricas"")","\left[-\frac{15 \, a^{6} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, {\left(256 \, b^{6} x^{5} - 640 \, a b^{5} x^{4} + 432 \, a^{2} b^{4} x^{3} - 8 \, a^{3} b^{3} x^{2} - 10 \, a^{4} b^{2} x - 15 \, a^{5} b\right)} \sqrt{-b x + a} \sqrt{x}}{3072 \, b^{4}}, -\frac{15 \, a^{6} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - {\left(256 \, b^{6} x^{5} - 640 \, a b^{5} x^{4} + 432 \, a^{2} b^{4} x^{3} - 8 \, a^{3} b^{3} x^{2} - 10 \, a^{4} b^{2} x - 15 \, a^{5} b\right)} \sqrt{-b x + a} \sqrt{x}}{1536 \, b^{4}}\right]"," ",0,"[-1/3072*(15*a^6*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*(256*b^6*x^5 - 640*a*b^5*x^4 + 432*a^2*b^4*x^3 - 8*a^3*b^3*x^2 - 10*a^4*b^2*x - 15*a^5*b)*sqrt(-b*x + a)*sqrt(x))/b^4, -1/1536*(15*a^6*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - (256*b^6*x^5 - 640*a*b^5*x^4 + 432*a^2*b^4*x^3 - 8*a^3*b^3*x^2 - 10*a^4*b^2*x - 15*a^5*b)*sqrt(-b*x + a)*sqrt(x))/b^4]","A",0
552,1,186,0,1.134780," ","integrate(x^(3/2)*(-b*x+a)^(5/2),x, algorithm=""fricas"")","\left[-\frac{15 \, a^{5} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, {\left(128 \, b^{5} x^{4} - 336 \, a b^{4} x^{3} + 248 \, a^{2} b^{3} x^{2} - 10 \, a^{3} b^{2} x - 15 \, a^{4} b\right)} \sqrt{-b x + a} \sqrt{x}}{1280 \, b^{3}}, -\frac{15 \, a^{5} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - {\left(128 \, b^{5} x^{4} - 336 \, a b^{4} x^{3} + 248 \, a^{2} b^{3} x^{2} - 10 \, a^{3} b^{2} x - 15 \, a^{4} b\right)} \sqrt{-b x + a} \sqrt{x}}{640 \, b^{3}}\right]"," ",0,"[-1/1280*(15*a^5*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*(128*b^5*x^4 - 336*a*b^4*x^3 + 248*a^2*b^3*x^2 - 10*a^3*b^2*x - 15*a^4*b)*sqrt(-b*x + a)*sqrt(x))/b^3, -1/640*(15*a^5*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - (128*b^5*x^4 - 336*a*b^4*x^3 + 248*a^2*b^3*x^2 - 10*a^3*b^2*x - 15*a^4*b)*sqrt(-b*x + a)*sqrt(x))/b^3]","A",0
553,1,164,0,1.245432," ","integrate((-b*x+a)^(5/2)*x^(1/2),x, algorithm=""fricas"")","\left[-\frac{15 \, a^{4} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, {\left(48 \, b^{4} x^{3} - 136 \, a b^{3} x^{2} + 118 \, a^{2} b^{2} x - 15 \, a^{3} b\right)} \sqrt{-b x + a} \sqrt{x}}{384 \, b^{2}}, -\frac{15 \, a^{4} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - {\left(48 \, b^{4} x^{3} - 136 \, a b^{3} x^{2} + 118 \, a^{2} b^{2} x - 15 \, a^{3} b\right)} \sqrt{-b x + a} \sqrt{x}}{192 \, b^{2}}\right]"," ",0,"[-1/384*(15*a^4*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*(48*b^4*x^3 - 136*a*b^3*x^2 + 118*a^2*b^2*x - 15*a^3*b)*sqrt(-b*x + a)*sqrt(x))/b^2, -1/192*(15*a^4*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - (48*b^4*x^3 - 136*a*b^3*x^2 + 118*a^2*b^2*x - 15*a^3*b)*sqrt(-b*x + a)*sqrt(x))/b^2]","A",0
554,1,142,0,0.691435," ","integrate((-b*x+a)^(5/2)/x^(1/2),x, algorithm=""fricas"")","\left[-\frac{15 \, a^{3} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, {\left(8 \, b^{3} x^{2} - 26 \, a b^{2} x + 33 \, a^{2} b\right)} \sqrt{-b x + a} \sqrt{x}}{48 \, b}, -\frac{15 \, a^{3} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - {\left(8 \, b^{3} x^{2} - 26 \, a b^{2} x + 33 \, a^{2} b\right)} \sqrt{-b x + a} \sqrt{x}}{24 \, b}\right]"," ",0,"[-1/48*(15*a^3*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*(8*b^3*x^2 - 26*a*b^2*x + 33*a^2*b)*sqrt(-b*x + a)*sqrt(x))/b, -1/24*(15*a^3*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - (8*b^3*x^2 - 26*a*b^2*x + 33*a^2*b)*sqrt(-b*x + a)*sqrt(x))/b]","A",0
555,1,137,0,1.301642," ","integrate((-b*x+a)^(5/2)/x^(3/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{2} \sqrt{-b} x \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) + 2 \, {\left(2 \, b^{2} x^{2} - 9 \, a b x - 8 \, a^{2}\right)} \sqrt{-b x + a} \sqrt{x}}{8 \, x}, \frac{15 \, a^{2} \sqrt{b} x \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + {\left(2 \, b^{2} x^{2} - 9 \, a b x - 8 \, a^{2}\right)} \sqrt{-b x + a} \sqrt{x}}{4 \, x}\right]"," ",0,"[1/8*(15*a^2*sqrt(-b)*x*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) + 2*(2*b^2*x^2 - 9*a*b*x - 8*a^2)*sqrt(-b*x + a)*sqrt(x))/x, 1/4*(15*a^2*sqrt(b)*x*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + (2*b^2*x^2 - 9*a*b*x - 8*a^2)*sqrt(-b*x + a)*sqrt(x))/x]","A",0
556,1,139,0,1.327498," ","integrate((-b*x+a)^(5/2)/x^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, a \sqrt{-b} b x^{2} \log\left(-2 \, b x - 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) + 2 \, {\left(3 \, b^{2} x^{2} + 14 \, a b x - 2 \, a^{2}\right)} \sqrt{-b x + a} \sqrt{x}}{6 \, x^{2}}, -\frac{15 \, a b^{\frac{3}{2}} x^{2} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - {\left(3 \, b^{2} x^{2} + 14 \, a b x - 2 \, a^{2}\right)} \sqrt{-b x + a} \sqrt{x}}{3 \, x^{2}}\right]"," ",0,"[1/6*(15*a*sqrt(-b)*b*x^2*log(-2*b*x - 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) + 2*(3*b^2*x^2 + 14*a*b*x - 2*a^2)*sqrt(-b*x + a)*sqrt(x))/x^2, -1/3*(15*a*b^(3/2)*x^2*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - (3*b^2*x^2 + 14*a*b*x - 2*a^2)*sqrt(-b*x + a)*sqrt(x))/x^2]","A",0
557,1,172,0,1.290989," ","integrate(x^(5/2)*(b*x+2)^(5/2),x, algorithm=""fricas"")","\left[\frac{{\left(8 \, b^{6} x^{5} + 40 \, b^{5} x^{4} + 54 \, b^{4} x^{3} + 2 \, b^{3} x^{2} - 5 \, b^{2} x + 15 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 15 \, \sqrt{b} \log\left(b x - \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{48 \, b^{4}}, \frac{{\left(8 \, b^{6} x^{5} + 40 \, b^{5} x^{4} + 54 \, b^{4} x^{3} + 2 \, b^{3} x^{2} - 5 \, b^{2} x + 15 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 30 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{48 \, b^{4}}\right]"," ",0,"[1/48*((8*b^6*x^5 + 40*b^5*x^4 + 54*b^4*x^3 + 2*b^3*x^2 - 5*b^2*x + 15*b)*sqrt(b*x + 2)*sqrt(x) + 15*sqrt(b)*log(b*x - sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b^4, 1/48*((8*b^6*x^5 + 40*b^5*x^4 + 54*b^4*x^3 + 2*b^3*x^2 - 5*b^2*x + 15*b)*sqrt(b*x + 2)*sqrt(x) + 30*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b^4]","A",0
558,1,155,0,1.316187," ","integrate(x^(3/2)*(b*x+2)^(5/2),x, algorithm=""fricas"")","\left[\frac{{\left(8 \, b^{5} x^{4} + 42 \, b^{4} x^{3} + 62 \, b^{3} x^{2} + 5 \, b^{2} x - 15 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 15 \, \sqrt{b} \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{40 \, b^{3}}, \frac{{\left(8 \, b^{5} x^{4} + 42 \, b^{4} x^{3} + 62 \, b^{3} x^{2} + 5 \, b^{2} x - 15 \, b\right)} \sqrt{b x + 2} \sqrt{x} - 30 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{40 \, b^{3}}\right]"," ",0,"[1/40*((8*b^5*x^4 + 42*b^4*x^3 + 62*b^3*x^2 + 5*b^2*x - 15*b)*sqrt(b*x + 2)*sqrt(x) + 15*sqrt(b)*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b^3, 1/40*((8*b^5*x^4 + 42*b^4*x^3 + 62*b^3*x^2 + 5*b^2*x - 15*b)*sqrt(b*x + 2)*sqrt(x) - 30*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b^3]","A",0
559,1,140,0,1.427739," ","integrate((b*x+2)^(5/2)*x^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(6 \, b^{4} x^{3} + 34 \, b^{3} x^{2} + 59 \, b^{2} x + 15 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 15 \, \sqrt{b} \log\left(b x - \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{24 \, b^{2}}, \frac{{\left(6 \, b^{4} x^{3} + 34 \, b^{3} x^{2} + 59 \, b^{2} x + 15 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 30 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{24 \, b^{2}}\right]"," ",0,"[1/24*((6*b^4*x^3 + 34*b^3*x^2 + 59*b^2*x + 15*b)*sqrt(b*x + 2)*sqrt(x) + 15*sqrt(b)*log(b*x - sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b^2, 1/24*((6*b^4*x^3 + 34*b^3*x^2 + 59*b^2*x + 15*b)*sqrt(b*x + 2)*sqrt(x) + 30*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b^2]","A",0
560,1,123,0,1.241634," ","integrate((b*x+2)^(5/2)/x^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(2 \, b^{3} x^{2} + 13 \, b^{2} x + 33 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 15 \, \sqrt{b} \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{6 \, b}, \frac{{\left(2 \, b^{3} x^{2} + 13 \, b^{2} x + 33 \, b\right)} \sqrt{b x + 2} \sqrt{x} - 30 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{6 \, b}\right]"," ",0,"[1/6*((2*b^3*x^2 + 13*b^2*x + 33*b)*sqrt(b*x + 2)*sqrt(x) + 15*sqrt(b)*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b, 1/6*((2*b^3*x^2 + 13*b^2*x + 33*b)*sqrt(b*x + 2)*sqrt(x) - 30*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b]","A",0
561,1,116,0,1.236205," ","integrate((b*x+2)^(5/2)/x^(3/2),x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{b} x \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right) + {\left(b^{2} x^{2} + 9 \, b x - 16\right)} \sqrt{b x + 2} \sqrt{x}}{2 \, x}, -\frac{30 \, \sqrt{-b} x \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right) - {\left(b^{2} x^{2} + 9 \, b x - 16\right)} \sqrt{b x + 2} \sqrt{x}}{2 \, x}\right]"," ",0,"[1/2*(15*sqrt(b)*x*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1) + (b^2*x^2 + 9*b*x - 16)*sqrt(b*x + 2)*sqrt(x))/x, -1/2*(30*sqrt(-b)*x*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))) - (b^2*x^2 + 9*b*x - 16)*sqrt(b*x + 2)*sqrt(x))/x]","A",0
562,1,123,0,1.445069," ","integrate((b*x+2)^(5/2)/x^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, b^{\frac{3}{2}} x^{2} \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right) + {\left(3 \, b^{2} x^{2} - 28 \, b x - 8\right)} \sqrt{b x + 2} \sqrt{x}}{3 \, x^{2}}, -\frac{30 \, \sqrt{-b} b x^{2} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right) - {\left(3 \, b^{2} x^{2} - 28 \, b x - 8\right)} \sqrt{b x + 2} \sqrt{x}}{3 \, x^{2}}\right]"," ",0,"[1/3*(15*b^(3/2)*x^2*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1) + (3*b^2*x^2 - 28*b*x - 8)*sqrt(b*x + 2)*sqrt(x))/x^2, -1/3*(30*sqrt(-b)*b*x^2*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))) - (3*b^2*x^2 - 28*b*x - 8)*sqrt(b*x + 2)*sqrt(x))/x^2]","A",0
563,1,173,0,1.280319," ","integrate(x^(5/2)*(-b*x+2)^(5/2),x, algorithm=""fricas"")","\left[\frac{{\left(8 \, b^{6} x^{5} - 40 \, b^{5} x^{4} + 54 \, b^{4} x^{3} - 2 \, b^{3} x^{2} - 5 \, b^{2} x - 15 \, b\right)} \sqrt{-b x + 2} \sqrt{x} - 15 \, \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{48 \, b^{4}}, \frac{{\left(8 \, b^{6} x^{5} - 40 \, b^{5} x^{4} + 54 \, b^{4} x^{3} - 2 \, b^{3} x^{2} - 5 \, b^{2} x - 15 \, b\right)} \sqrt{-b x + 2} \sqrt{x} - 30 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{48 \, b^{4}}\right]"," ",0,"[1/48*((8*b^6*x^5 - 40*b^5*x^4 + 54*b^4*x^3 - 2*b^3*x^2 - 5*b^2*x - 15*b)*sqrt(-b*x + 2)*sqrt(x) - 15*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b^4, 1/48*((8*b^6*x^5 - 40*b^5*x^4 + 54*b^4*x^3 - 2*b^3*x^2 - 5*b^2*x - 15*b)*sqrt(-b*x + 2)*sqrt(x) - 30*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b^4]","A",0
564,1,157,0,1.317414," ","integrate(x^(3/2)*(-b*x+2)^(5/2),x, algorithm=""fricas"")","\left[\frac{{\left(8 \, b^{5} x^{4} - 42 \, b^{4} x^{3} + 62 \, b^{3} x^{2} - 5 \, b^{2} x - 15 \, b\right)} \sqrt{-b x + 2} \sqrt{x} - 15 \, \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{40 \, b^{3}}, \frac{{\left(8 \, b^{5} x^{4} - 42 \, b^{4} x^{3} + 62 \, b^{3} x^{2} - 5 \, b^{2} x - 15 \, b\right)} \sqrt{-b x + 2} \sqrt{x} - 30 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{40 \, b^{3}}\right]"," ",0,"[1/40*((8*b^5*x^4 - 42*b^4*x^3 + 62*b^3*x^2 - 5*b^2*x - 15*b)*sqrt(-b*x + 2)*sqrt(x) - 15*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b^3, 1/40*((8*b^5*x^4 - 42*b^4*x^3 + 62*b^3*x^2 - 5*b^2*x - 15*b)*sqrt(-b*x + 2)*sqrt(x) - 30*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b^3]","A",0
565,1,141,0,1.438205," ","integrate((-b*x+2)^(5/2)*x^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(6 \, b^{4} x^{3} - 34 \, b^{3} x^{2} + 59 \, b^{2} x - 15 \, b\right)} \sqrt{-b x + 2} \sqrt{x} - 15 \, \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{24 \, b^{2}}, \frac{{\left(6 \, b^{4} x^{3} - 34 \, b^{3} x^{2} + 59 \, b^{2} x - 15 \, b\right)} \sqrt{-b x + 2} \sqrt{x} - 30 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{24 \, b^{2}}\right]"," ",0,"[1/24*((6*b^4*x^3 - 34*b^3*x^2 + 59*b^2*x - 15*b)*sqrt(-b*x + 2)*sqrt(x) - 15*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b^2, 1/24*((6*b^4*x^3 - 34*b^3*x^2 + 59*b^2*x - 15*b)*sqrt(-b*x + 2)*sqrt(x) - 30*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b^2]","A",0
566,1,125,0,1.261015," ","integrate((-b*x+2)^(5/2)/x^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(2 \, b^{3} x^{2} - 13 \, b^{2} x + 33 \, b\right)} \sqrt{-b x + 2} \sqrt{x} - 15 \, \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{6 \, b}, \frac{{\left(2 \, b^{3} x^{2} - 13 \, b^{2} x + 33 \, b\right)} \sqrt{-b x + 2} \sqrt{x} - 30 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{6 \, b}\right]"," ",0,"[1/6*((2*b^3*x^2 - 13*b^2*x + 33*b)*sqrt(-b*x + 2)*sqrt(x) - 15*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b, 1/6*((2*b^3*x^2 - 13*b^2*x + 33*b)*sqrt(-b*x + 2)*sqrt(x) - 30*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b]","A",0
567,1,117,0,1.321159," ","integrate((-b*x+2)^(5/2)/x^(3/2),x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{-b} x \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right) + {\left(b^{2} x^{2} - 9 \, b x - 16\right)} \sqrt{-b x + 2} \sqrt{x}}{2 \, x}, \frac{30 \, \sqrt{b} x \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) + {\left(b^{2} x^{2} - 9 \, b x - 16\right)} \sqrt{-b x + 2} \sqrt{x}}{2 \, x}\right]"," ",0,"[1/2*(15*sqrt(-b)*x*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1) + (b^2*x^2 - 9*b*x - 16)*sqrt(-b*x + 2)*sqrt(x))/x, 1/2*(30*sqrt(b)*x*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) + (b^2*x^2 - 9*b*x - 16)*sqrt(-b*x + 2)*sqrt(x))/x]","A",0
568,1,126,0,0.860240," ","integrate((-b*x+2)^(5/2)/x^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{-b} b x^{2} \log\left(-b x - \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right) + {\left(3 \, b^{2} x^{2} + 28 \, b x - 8\right)} \sqrt{-b x + 2} \sqrt{x}}{3 \, x^{2}}, -\frac{30 \, b^{\frac{3}{2}} x^{2} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) - {\left(3 \, b^{2} x^{2} + 28 \, b x - 8\right)} \sqrt{-b x + 2} \sqrt{x}}{3 \, x^{2}}\right]"," ",0,"[1/3*(15*sqrt(-b)*b*x^2*log(-b*x - sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1) + (3*b^2*x^2 + 28*b*x - 8)*sqrt(-b*x + 2)*sqrt(x))/x^2, -1/3*(30*b^(3/2)*x^2*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) - (3*b^2*x^2 + 28*b*x - 8)*sqrt(-b*x + 2)*sqrt(x))/x^2]","A",0
569,1,140,0,1.332400," ","integrate(x^(5/2)/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{3} \sqrt{b} \log\left(2 \, b x - 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(8 \, b^{3} x^{2} - 10 \, a b^{2} x + 15 \, a^{2} b\right)} \sqrt{b x + a} \sqrt{x}}{48 \, b^{4}}, \frac{15 \, a^{3} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(8 \, b^{3} x^{2} - 10 \, a b^{2} x + 15 \, a^{2} b\right)} \sqrt{b x + a} \sqrt{x}}{24 \, b^{4}}\right]"," ",0,"[1/48*(15*a^3*sqrt(b)*log(2*b*x - 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(8*b^3*x^2 - 10*a*b^2*x + 15*a^2*b)*sqrt(b*x + a)*sqrt(x))/b^4, 1/24*(15*a^3*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + (8*b^3*x^2 - 10*a*b^2*x + 15*a^2*b)*sqrt(b*x + a)*sqrt(x))/b^4]","A",0
570,1,119,0,1.151181," ","integrate(x^(3/2)/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{2} \sqrt{b} \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(2 \, b^{2} x - 3 \, a b\right)} \sqrt{b x + a} \sqrt{x}}{8 \, b^{3}}, -\frac{3 \, a^{2} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) - {\left(2 \, b^{2} x - 3 \, a b\right)} \sqrt{b x + a} \sqrt{x}}{4 \, b^{3}}\right]"," ",0,"[1/8*(3*a^2*sqrt(b)*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(2*b^2*x - 3*a*b)*sqrt(b*x + a)*sqrt(x))/b^3, -1/4*(3*a^2*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) - (2*b^2*x - 3*a*b)*sqrt(b*x + a)*sqrt(x))/b^3]","A",0
571,1,91,0,1.471253," ","integrate(x^(1/2)/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{a \sqrt{b} \log\left(2 \, b x - 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, \sqrt{b x + a} b \sqrt{x}}{2 \, b^{2}}, \frac{a \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + \sqrt{b x + a} b \sqrt{x}}{b^{2}}\right]"," ",0,"[1/2*(a*sqrt(b)*log(2*b*x - 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*sqrt(b*x + a)*b*sqrt(x))/b^2, (a*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + sqrt(b*x + a)*b*sqrt(x))/b^2]","A",0
572,1,57,0,1.036677," ","integrate(1/x^(1/2)/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right)}{\sqrt{b}}, -\frac{2 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right)}{b}\right]"," ",0,"[log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a)/sqrt(b), -2*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x)))/b]","A",0
573,1,15,0,0.946060," ","integrate(1/x^(3/2)/(b*x+a)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b x + a}}{a \sqrt{x}}"," ",0,"-2*sqrt(b*x + a)/(a*sqrt(x))","A",0
574,1,23,0,1.149743," ","integrate(1/x^(5/2)/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, b x - a\right)} \sqrt{b x + a}}{3 \, a^{2} x^{\frac{3}{2}}}"," ",0,"2/3*(2*b*x - a)*sqrt(b*x + a)/(a^2*x^(3/2))","A",0
575,1,34,0,1.209519," ","integrate(1/x^(7/2)/(b*x+a)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(8 \, b^{2} x^{2} - 4 \, a b x + 3 \, a^{2}\right)} \sqrt{b x + a}}{15 \, a^{3} x^{\frac{5}{2}}}"," ",0,"-2/15*(8*b^2*x^2 - 4*a*b*x + 3*a^2)*sqrt(b*x + a)/(a^3*x^(5/2))","A",0
576,1,45,0,1.210672," ","integrate(1/x^(9/2)/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(16 \, b^{3} x^{3} - 8 \, a b^{2} x^{2} + 6 \, a^{2} b x - 5 \, a^{3}\right)} \sqrt{b x + a}}{35 \, a^{4} x^{\frac{7}{2}}}"," ",0,"2/35*(16*b^3*x^3 - 8*a*b^2*x^2 + 6*a^2*b*x - 5*a^3)*sqrt(b*x + a)/(a^4*x^(7/2))","A",0
577,1,175,0,1.412560," ","integrate(x^(5/2)/(b*x+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(a^{2} b x + a^{3}\right)} \sqrt{b} \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(2 \, b^{3} x^{2} - 5 \, a b^{2} x - 15 \, a^{2} b\right)} \sqrt{b x + a} \sqrt{x}}{8 \, {\left(b^{5} x + a b^{4}\right)}}, -\frac{15 \, {\left(a^{2} b x + a^{3}\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) - {\left(2 \, b^{3} x^{2} - 5 \, a b^{2} x - 15 \, a^{2} b\right)} \sqrt{b x + a} \sqrt{x}}{4 \, {\left(b^{5} x + a b^{4}\right)}}\right]"," ",0,"[1/8*(15*(a^2*b*x + a^3)*sqrt(b)*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(2*b^3*x^2 - 5*a*b^2*x - 15*a^2*b)*sqrt(b*x + a)*sqrt(x))/(b^5*x + a*b^4), -1/4*(15*(a^2*b*x + a^3)*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) - (2*b^3*x^2 - 5*a*b^2*x - 15*a^2*b)*sqrt(b*x + a)*sqrt(x))/(b^5*x + a*b^4)]","A",0
578,1,145,0,1.391888," ","integrate(x^(3/2)/(b*x+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(a b x + a^{2}\right)} \sqrt{b} \log\left(2 \, b x - 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(b^{2} x + 3 \, a b\right)} \sqrt{b x + a} \sqrt{x}}{2 \, {\left(b^{4} x + a b^{3}\right)}}, \frac{3 \, {\left(a b x + a^{2}\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(b^{2} x + 3 \, a b\right)} \sqrt{b x + a} \sqrt{x}}{b^{4} x + a b^{3}}\right]"," ",0,"[1/2*(3*(a*b*x + a^2)*sqrt(b)*log(2*b*x - 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(b^2*x + 3*a*b)*sqrt(b*x + a)*sqrt(x))/(b^4*x + a*b^3), (3*(a*b*x + a^2)*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + (b^2*x + 3*a*b)*sqrt(b*x + a)*sqrt(x))/(b^4*x + a*b^3)]","A",0
579,1,119,0,1.325633," ","integrate(x^(1/2)/(b*x+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(b x + a\right)} \sqrt{b} \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) - 2 \, \sqrt{b x + a} b \sqrt{x}}{b^{3} x + a b^{2}}, -\frac{2 \, {\left({\left(b x + a\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + \sqrt{b x + a} b \sqrt{x}\right)}}{b^{3} x + a b^{2}}\right]"," ",0,"[((b*x + a)*sqrt(b)*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) - 2*sqrt(b*x + a)*b*sqrt(x))/(b^3*x + a*b^2), -2*((b*x + a)*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + sqrt(b*x + a)*b*sqrt(x))/(b^3*x + a*b^2)]","A",0
580,1,22,0,1.005521," ","integrate(1/(b*x+a)^(3/2)/x^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x + a} \sqrt{x}}{a b x + a^{2}}"," ",0,"2*sqrt(b*x + a)*sqrt(x)/(a*b*x + a^2)","A",0
581,1,34,0,0.888545," ","integrate(1/x^(3/2)/(b*x+a)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, b x + a\right)} \sqrt{b x + a} \sqrt{x}}{a^{2} b x^{2} + a^{3} x}"," ",0,"-2*(2*b*x + a)*sqrt(b*x + a)*sqrt(x)/(a^2*b*x^2 + a^3*x)","A",0
582,1,49,0,1.350925," ","integrate(1/x^(5/2)/(b*x+a)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(8 \, b^{2} x^{2} + 4 \, a b x - a^{2}\right)} \sqrt{b x + a} \sqrt{x}}{3 \, {\left(a^{3} b x^{3} + a^{4} x^{2}\right)}}"," ",0,"2/3*(8*b^2*x^2 + 4*a*b*x - a^2)*sqrt(b*x + a)*sqrt(x)/(a^3*b*x^3 + a^4*x^2)","A",0
583,1,58,0,1.184189," ","integrate(1/x^(7/2)/(b*x+a)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(16 \, b^{3} x^{3} + 8 \, a b^{2} x^{2} - 2 \, a^{2} b x + a^{3}\right)} \sqrt{b x + a} \sqrt{x}}{5 \, {\left(a^{4} b x^{4} + a^{5} x^{3}\right)}}"," ",0,"-2/5*(16*b^3*x^3 + 8*a*b^2*x^2 - 2*a^2*b*x + a^3)*sqrt(b*x + a)*sqrt(x)/(a^4*b*x^4 + a^5*x^3)","A",0
584,1,214,0,1.420090," ","integrate(x^(5/2)/(b*x+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(a b^{2} x^{2} + 2 \, a^{2} b x + a^{3}\right)} \sqrt{b} \log\left(2 \, b x - 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(3 \, b^{3} x^{2} + 20 \, a b^{2} x + 15 \, a^{2} b\right)} \sqrt{b x + a} \sqrt{x}}{6 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}}, \frac{15 \, {\left(a b^{2} x^{2} + 2 \, a^{2} b x + a^{3}\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(3 \, b^{3} x^{2} + 20 \, a b^{2} x + 15 \, a^{2} b\right)} \sqrt{b x + a} \sqrt{x}}{3 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}}\right]"," ",0,"[1/6*(15*(a*b^2*x^2 + 2*a^2*b*x + a^3)*sqrt(b)*log(2*b*x - 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) + 2*(3*b^3*x^2 + 20*a*b^2*x + 15*a^2*b)*sqrt(b*x + a)*sqrt(x))/(b^6*x^2 + 2*a*b^5*x + a^2*b^4), 1/3*(15*(a*b^2*x^2 + 2*a^2*b*x + a^3)*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + (3*b^3*x^2 + 20*a*b^2*x + 15*a^2*b)*sqrt(b*x + a)*sqrt(x))/(b^6*x^2 + 2*a*b^5*x + a^2*b^4)]","A",0
585,1,186,0,0.724106," ","integrate(x^(3/2)/(b*x+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{b} \log\left(2 \, b x + 2 \, \sqrt{b x + a} \sqrt{b} \sqrt{x} + a\right) - 2 \, {\left(4 \, b^{2} x + 3 \, a b\right)} \sqrt{b x + a} \sqrt{x}}{3 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}, -\frac{2 \, {\left(3 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(4 \, b^{2} x + 3 \, a b\right)} \sqrt{b x + a} \sqrt{x}\right)}}{3 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}\right]"," ",0,"[1/3*(3*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(b)*log(2*b*x + 2*sqrt(b*x + a)*sqrt(b)*sqrt(x) + a) - 2*(4*b^2*x + 3*a*b)*sqrt(b*x + a)*sqrt(x))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3), -2/3*(3*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(-b)*arctan(sqrt(b*x + a)*sqrt(-b)/(b*sqrt(x))) + (4*b^2*x + 3*a*b)*sqrt(b*x + a)*sqrt(x))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3)]","A",0
586,1,33,0,1.242649," ","integrate(x^(1/2)/(b*x+a)^(5/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x + a} x^{\frac{3}{2}}}{3 \, {\left(a b^{2} x^{2} + 2 \, a^{2} b x + a^{3}\right)}}"," ",0,"2/3*sqrt(b*x + a)*x^(3/2)/(a*b^2*x^2 + 2*a^2*b*x + a^3)","B",0
587,1,43,0,1.493876," ","integrate(1/(b*x+a)^(5/2)/x^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, b x + 3 \, a\right)} \sqrt{b x + a} \sqrt{x}}{3 \, {\left(a^{2} b^{2} x^{2} + 2 \, a^{3} b x + a^{4}\right)}}"," ",0,"2/3*(2*b*x + 3*a)*sqrt(b*x + a)*sqrt(x)/(a^2*b^2*x^2 + 2*a^3*b*x + a^4)","A",0
588,1,58,0,1.370323," ","integrate(1/x^(3/2)/(b*x+a)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(8 \, b^{2} x^{2} + 12 \, a b x + 3 \, a^{2}\right)} \sqrt{b x + a} \sqrt{x}}{3 \, {\left(a^{3} b^{2} x^{3} + 2 \, a^{4} b x^{2} + a^{5} x\right)}}"," ",0,"-2/3*(8*b^2*x^2 + 12*a*b*x + 3*a^2)*sqrt(b*x + a)*sqrt(x)/(a^3*b^2*x^3 + 2*a^4*b*x^2 + a^5*x)","A",0
589,1,71,0,1.039901," ","integrate(1/x^(5/2)/(b*x+a)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(16 \, b^{3} x^{3} + 24 \, a b^{2} x^{2} + 6 \, a^{2} b x - a^{3}\right)} \sqrt{b x + a} \sqrt{x}}{3 \, {\left(a^{4} b^{2} x^{4} + 2 \, a^{5} b x^{3} + a^{6} x^{2}\right)}}"," ",0,"2/3*(16*b^3*x^3 + 24*a*b^2*x^2 + 6*a^2*b*x - a^3)*sqrt(b*x + a)*sqrt(x)/(a^4*b^2*x^4 + 2*a^5*b*x^3 + a^6*x^2)","A",0
590,1,141,0,1.346068," ","integrate(x^(5/2)/(-b*x+a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{15 \, a^{3} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) + 2 \, {\left(8 \, b^{3} x^{2} + 10 \, a b^{2} x + 15 \, a^{2} b\right)} \sqrt{-b x + a} \sqrt{x}}{48 \, b^{4}}, -\frac{15 \, a^{3} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + {\left(8 \, b^{3} x^{2} + 10 \, a b^{2} x + 15 \, a^{2} b\right)} \sqrt{-b x + a} \sqrt{x}}{24 \, b^{4}}\right]"," ",0,"[-1/48*(15*a^3*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) + 2*(8*b^3*x^2 + 10*a*b^2*x + 15*a^2*b)*sqrt(-b*x + a)*sqrt(x))/b^4, -1/24*(15*a^3*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + (8*b^3*x^2 + 10*a*b^2*x + 15*a^2*b)*sqrt(-b*x + a)*sqrt(x))/b^4]","A",0
591,1,119,0,0.771645," ","integrate(x^(3/2)/(-b*x+a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{3 \, a^{2} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) + 2 \, {\left(2 \, b^{2} x + 3 \, a b\right)} \sqrt{-b x + a} \sqrt{x}}{8 \, b^{3}}, -\frac{3 \, a^{2} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + {\left(2 \, b^{2} x + 3 \, a b\right)} \sqrt{-b x + a} \sqrt{x}}{4 \, b^{3}}\right]"," ",0,"[-1/8*(3*a^2*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) + 2*(2*b^2*x + 3*a*b)*sqrt(-b*x + a)*sqrt(x))/b^3, -1/4*(3*a^2*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + (2*b^2*x + 3*a*b)*sqrt(-b*x + a)*sqrt(x))/b^3]","A",0
592,1,93,0,1.212613," ","integrate(x^(1/2)/(-b*x+a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{a \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) + 2 \, \sqrt{-b x + a} b \sqrt{x}}{2 \, b^{2}}, -\frac{a \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + \sqrt{-b x + a} b \sqrt{x}}{b^{2}}\right]"," ",0,"[-1/2*(a*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) + 2*sqrt(-b*x + a)*b*sqrt(x))/b^2, -(a*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + sqrt(-b*x + a)*b*sqrt(x))/b^2]","A",0
593,1,57,0,0.918891," ","integrate(1/x^(1/2)/(-b*x+a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right)}{b}, -\frac{2 \, \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right)}{\sqrt{b}}\right]"," ",0,"[-sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a)/b, -2*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x)))/sqrt(b)]","A",0
594,1,16,0,0.690288," ","integrate(1/x^(3/2)/(-b*x+a)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{-b x + a}}{a \sqrt{x}}"," ",0,"-2*sqrt(-b*x + a)/(a*sqrt(x))","A",0
595,1,22,0,1.770709," ","integrate(1/x^(5/2)/(-b*x+a)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, b x + a\right)} \sqrt{-b x + a}}{3 \, a^{2} x^{\frac{3}{2}}}"," ",0,"-2/3*(2*b*x + a)*sqrt(-b*x + a)/(a^2*x^(3/2))","A",0
596,1,181,0,1.372207," ","integrate(x^(5/2)/(-b*x+a)^(3/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(a^{2} b x - a^{3}\right)} \sqrt{-b} \log\left(-2 \, b x - 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, {\left(2 \, b^{3} x^{2} + 5 \, a b^{2} x - 15 \, a^{2} b\right)} \sqrt{-b x + a} \sqrt{x}}{8 \, {\left(b^{5} x - a b^{4}\right)}}, \frac{15 \, {\left(a^{2} b x - a^{3}\right)} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + {\left(2 \, b^{3} x^{2} + 5 \, a b^{2} x - 15 \, a^{2} b\right)} \sqrt{-b x + a} \sqrt{x}}{4 \, {\left(b^{5} x - a b^{4}\right)}}\right]"," ",0,"[-1/8*(15*(a^2*b*x - a^3)*sqrt(-b)*log(-2*b*x - 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*(2*b^3*x^2 + 5*a*b^2*x - 15*a^2*b)*sqrt(-b*x + a)*sqrt(x))/(b^5*x - a*b^4), 1/4*(15*(a^2*b*x - a^3)*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + (2*b^3*x^2 + 5*a*b^2*x - 15*a^2*b)*sqrt(-b*x + a)*sqrt(x))/(b^5*x - a*b^4)]","A",0
597,1,152,0,1.303885," ","integrate(x^(3/2)/(-b*x+a)^(3/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(a b x - a^{2}\right)} \sqrt{-b} \log\left(-2 \, b x - 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, {\left(b^{2} x - 3 \, a b\right)} \sqrt{-b x + a} \sqrt{x}}{2 \, {\left(b^{4} x - a b^{3}\right)}}, \frac{3 \, {\left(a b x - a^{2}\right)} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + {\left(b^{2} x - 3 \, a b\right)} \sqrt{-b x + a} \sqrt{x}}{b^{4} x - a b^{3}}\right]"," ",0,"[-1/2*(3*(a*b*x - a^2)*sqrt(-b)*log(-2*b*x - 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*(b^2*x - 3*a*b)*sqrt(-b*x + a)*sqrt(x))/(b^4*x - a*b^3), (3*(a*b*x - a^2)*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + (b^2*x - 3*a*b)*sqrt(-b*x + a)*sqrt(x))/(b^4*x - a*b^3)]","A",0
598,1,128,0,1.207242," ","integrate(x^(1/2)/(-b*x+a)^(3/2),x, algorithm=""fricas"")","\left[-\frac{{\left(b x - a\right)} \sqrt{-b} \log\left(-2 \, b x - 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) + 2 \, \sqrt{-b x + a} b \sqrt{x}}{b^{3} x - a b^{2}}, \frac{2 \, {\left({\left(b x - a\right)} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - \sqrt{-b x + a} b \sqrt{x}\right)}}{b^{3} x - a b^{2}}\right]"," ",0,"[-((b*x - a)*sqrt(-b)*log(-2*b*x - 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) + 2*sqrt(-b*x + a)*b*sqrt(x))/(b^3*x - a*b^2), 2*((b*x - a)*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - sqrt(-b*x + a)*b*sqrt(x))/(b^3*x - a*b^2)]","A",0
599,1,25,0,1.031073," ","integrate(1/(-b*x+a)^(3/2)/x^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{-b x + a} \sqrt{x}}{a b x - a^{2}}"," ",0,"-2*sqrt(-b*x + a)*sqrt(x)/(a*b*x - a^2)","A",0
600,1,38,0,0.963013," ","integrate(1/x^(3/2)/(-b*x+a)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, b x - a\right)} \sqrt{-b x + a} \sqrt{x}}{a^{2} b x^{2} - a^{3} x}"," ",0,"-2*(2*b*x - a)*sqrt(-b*x + a)*sqrt(x)/(a^2*b*x^2 - a^3*x)","A",0
601,1,51,0,1.200873," ","integrate(1/x^(5/2)/(-b*x+a)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(8 \, b^{2} x^{2} - 4 \, a b x - a^{2}\right)} \sqrt{-b x + a} \sqrt{x}}{3 \, {\left(a^{3} b x^{3} - a^{4} x^{2}\right)}}"," ",0,"-2/3*(8*b^2*x^2 - 4*a*b*x - a^2)*sqrt(-b*x + a)*sqrt(x)/(a^3*b*x^3 - a^4*x^2)","A",0
602,1,215,0,1.353266," ","integrate(x^(5/2)/(-b*x+a)^(5/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(a b^{2} x^{2} - 2 \, a^{2} b x + a^{3}\right)} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) + 2 \, {\left(3 \, b^{3} x^{2} - 20 \, a b^{2} x + 15 \, a^{2} b\right)} \sqrt{-b x + a} \sqrt{x}}{6 \, {\left(b^{6} x^{2} - 2 \, a b^{5} x + a^{2} b^{4}\right)}}, -\frac{15 \, {\left(a b^{2} x^{2} - 2 \, a^{2} b x + a^{3}\right)} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) + {\left(3 \, b^{3} x^{2} - 20 \, a b^{2} x + 15 \, a^{2} b\right)} \sqrt{-b x + a} \sqrt{x}}{3 \, {\left(b^{6} x^{2} - 2 \, a b^{5} x + a^{2} b^{4}\right)}}\right]"," ",0,"[-1/6*(15*(a*b^2*x^2 - 2*a^2*b*x + a^3)*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) + 2*(3*b^3*x^2 - 20*a*b^2*x + 15*a^2*b)*sqrt(-b*x + a)*sqrt(x))/(b^6*x^2 - 2*a*b^5*x + a^2*b^4), -1/3*(15*(a*b^2*x^2 - 2*a^2*b*x + a^3)*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) + (3*b^3*x^2 - 20*a*b^2*x + 15*a^2*b)*sqrt(-b*x + a)*sqrt(x))/(b^6*x^2 - 2*a*b^5*x + a^2*b^4)]","A",0
603,1,188,0,1.562496," ","integrate(x^(3/2)/(-b*x+a)^(5/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + a} \sqrt{-b} \sqrt{x} + a\right) - 2 \, {\left(4 \, b^{2} x - 3 \, a b\right)} \sqrt{-b x + a} \sqrt{x}}{3 \, {\left(b^{5} x^{2} - 2 \, a b^{4} x + a^{2} b^{3}\right)}}, -\frac{2 \, {\left(3 \, {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + a}}{\sqrt{b} \sqrt{x}}\right) - {\left(4 \, b^{2} x - 3 \, a b\right)} \sqrt{-b x + a} \sqrt{x}\right)}}{3 \, {\left(b^{5} x^{2} - 2 \, a b^{4} x + a^{2} b^{3}\right)}}\right]"," ",0,"[-1/3*(3*(b^2*x^2 - 2*a*b*x + a^2)*sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + a)*sqrt(-b)*sqrt(x) + a) - 2*(4*b^2*x - 3*a*b)*sqrt(-b*x + a)*sqrt(x))/(b^5*x^2 - 2*a*b^4*x + a^2*b^3), -2/3*(3*(b^2*x^2 - 2*a*b*x + a^2)*sqrt(b)*arctan(sqrt(-b*x + a)/(sqrt(b)*sqrt(x))) - (4*b^2*x - 3*a*b)*sqrt(-b*x + a)*sqrt(x))/(b^5*x^2 - 2*a*b^4*x + a^2*b^3)]","A",0
604,1,34,0,1.105794," ","integrate(x^(1/2)/(-b*x+a)^(5/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{-b x + a} x^{\frac{3}{2}}}{3 \, {\left(a b^{2} x^{2} - 2 \, a^{2} b x + a^{3}\right)}}"," ",0,"2/3*sqrt(-b*x + a)*x^(3/2)/(a*b^2*x^2 - 2*a^2*b*x + a^3)","B",0
605,1,44,0,1.251422," ","integrate(1/(-b*x+a)^(5/2)/x^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, b x - 3 \, a\right)} \sqrt{-b x + a} \sqrt{x}}{3 \, {\left(a^{2} b^{2} x^{2} - 2 \, a^{3} b x + a^{4}\right)}}"," ",0,"-2/3*(2*b*x - 3*a)*sqrt(-b*x + a)*sqrt(x)/(a^2*b^2*x^2 - 2*a^3*b*x + a^4)","A",0
606,1,59,0,1.194204," ","integrate(1/x^(3/2)/(-b*x+a)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(8 \, b^{2} x^{2} - 12 \, a b x + 3 \, a^{2}\right)} \sqrt{-b x + a} \sqrt{x}}{3 \, {\left(a^{3} b^{2} x^{3} - 2 \, a^{4} b x^{2} + a^{5} x\right)}}"," ",0,"-2/3*(8*b^2*x^2 - 12*a*b*x + 3*a^2)*sqrt(-b*x + a)*sqrt(x)/(a^3*b^2*x^3 - 2*a^4*b*x^2 + a^5*x)","A",0
607,1,70,0,1.233953," ","integrate(1/x^(5/2)/(-b*x+a)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(16 \, b^{3} x^{3} - 24 \, a b^{2} x^{2} + 6 \, a^{2} b x + a^{3}\right)} \sqrt{-b x + a} \sqrt{x}}{3 \, {\left(a^{4} b^{2} x^{4} - 2 \, a^{5} b x^{3} + a^{6} x^{2}\right)}}"," ",0,"-2/3*(16*b^3*x^3 - 24*a*b^2*x^2 + 6*a^2*b*x + a^3)*sqrt(-b*x + a)*sqrt(x)/(a^4*b^2*x^4 - 2*a^5*b*x^3 + a^6*x^2)","A",0
608,1,124,0,1.149165," ","integrate(x^(5/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(2 \, b^{3} x^{2} - 5 \, b^{2} x + 15 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 15 \, \sqrt{b} \log\left(b x - \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{6 \, b^{4}}, \frac{{\left(2 \, b^{3} x^{2} - 5 \, b^{2} x + 15 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 30 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{6 \, b^{4}}\right]"," ",0,"[1/6*((2*b^3*x^2 - 5*b^2*x + 15*b)*sqrt(b*x + 2)*sqrt(x) + 15*sqrt(b)*log(b*x - sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b^4, 1/6*((2*b^3*x^2 - 5*b^2*x + 15*b)*sqrt(b*x + 2)*sqrt(x) + 30*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b^4]","A",0
609,1,105,0,0.995552," ","integrate(x^(3/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(b^{2} x - 3 \, b\right)} \sqrt{b x + 2} \sqrt{x} + 3 \, \sqrt{b} \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{2 \, b^{3}}, \frac{{\left(b^{2} x - 3 \, b\right)} \sqrt{b x + 2} \sqrt{x} - 6 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{2 \, b^{3}}\right]"," ",0,"[1/2*((b^2*x - 3*b)*sqrt(b*x + 2)*sqrt(x) + 3*sqrt(b)*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b^3, 1/2*((b^2*x - 3*b)*sqrt(b*x + 2)*sqrt(x) - 6*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b^3]","A",0
610,1,87,0,1.021644," ","integrate(x^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b x + 2} b \sqrt{x} + \sqrt{b} \log\left(b x - \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{b^{2}}, \frac{\sqrt{b x + 2} b \sqrt{x} + 2 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{b^{2}}\right]"," ",0,"[(sqrt(b*x + 2)*b*sqrt(x) + sqrt(b)*log(b*x - sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1))/b^2, (sqrt(b*x + 2)*b*sqrt(x) + 2*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))))/b^2]","A",0
611,1,55,0,1.278001," ","integrate(1/x^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right)}{\sqrt{b}}, -\frac{2 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right)}{b}\right]"," ",0,"[log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1)/sqrt(b), -2*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x)))/b]","A",0
612,1,12,0,1.282047," ","integrate(1/x^(3/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{b x + 2}}{\sqrt{x}}"," ",0,"-sqrt(b*x + 2)/sqrt(x)","A",0
613,1,17,0,1.108324," ","integrate(1/x^(5/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b x + 2} {\left(b x - 1\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"1/3*sqrt(b*x + 2)*(b*x - 1)/x^(3/2)","A",0
614,1,26,0,0.870028," ","integrate(1/x^(7/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, b^{2} x^{2} - 2 \, b x + 3\right)} \sqrt{b x + 2}}{15 \, x^{\frac{5}{2}}}"," ",0,"-1/15*(2*b^2*x^2 - 2*b*x + 3)*sqrt(b*x + 2)/x^(5/2)","A",0
615,1,34,0,0.809035," ","integrate(1/x^(9/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{3} x^{3} - 2 \, b^{2} x^{2} + 3 \, b x - 5\right)} \sqrt{b x + 2}}{35 \, x^{\frac{7}{2}}}"," ",0,"1/35*(2*b^3*x^3 - 2*b^2*x^2 + 3*b*x - 5)*sqrt(b*x + 2)/x^(7/2)","A",0
616,1,152,0,1.253678," ","integrate(x^(5/2)/(b*x+2)^(3/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b x + 2\right)} \sqrt{b} \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right) + {\left(b^{3} x^{2} - 5 \, b^{2} x - 30 \, b\right)} \sqrt{b x + 2} \sqrt{x}}{2 \, {\left(b^{5} x + 2 \, b^{4}\right)}}, -\frac{30 \, {\left(b x + 2\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right) - {\left(b^{3} x^{2} - 5 \, b^{2} x - 30 \, b\right)} \sqrt{b x + 2} \sqrt{x}}{2 \, {\left(b^{5} x + 2 \, b^{4}\right)}}\right]"," ",0,"[1/2*(15*(b*x + 2)*sqrt(b)*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1) + (b^3*x^2 - 5*b^2*x - 30*b)*sqrt(b*x + 2)*sqrt(x))/(b^5*x + 2*b^4), -1/2*(30*(b*x + 2)*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))) - (b^3*x^2 - 5*b^2*x - 30*b)*sqrt(b*x + 2)*sqrt(x))/(b^5*x + 2*b^4)]","A",0
617,1,134,0,1.333153," ","integrate(x^(3/2)/(b*x+2)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b x + 2\right)} \sqrt{b} \log\left(b x - \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right) + {\left(b^{2} x + 6 \, b\right)} \sqrt{b x + 2} \sqrt{x}}{b^{4} x + 2 \, b^{3}}, \frac{6 \, {\left(b x + 2\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(b^{2} x + 6 \, b\right)} \sqrt{b x + 2} \sqrt{x}}{b^{4} x + 2 \, b^{3}}\right]"," ",0,"[(3*(b*x + 2)*sqrt(b)*log(b*x - sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1) + (b^2*x + 6*b)*sqrt(b*x + 2)*sqrt(x))/(b^4*x + 2*b^3), (6*(b*x + 2)*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))) + (b^2*x + 6*b)*sqrt(b*x + 2)*sqrt(x))/(b^4*x + 2*b^3)]","A",0
618,1,117,0,1.294127," ","integrate(x^(1/2)/(b*x+2)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(b x + 2\right)} \sqrt{b} \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right) - 2 \, \sqrt{b x + 2} b \sqrt{x}}{b^{3} x + 2 \, b^{2}}, -\frac{2 \, {\left({\left(b x + 2\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right) + \sqrt{b x + 2} b \sqrt{x}\right)}}{b^{3} x + 2 \, b^{2}}\right]"," ",0,"[((b*x + 2)*sqrt(b)*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1) - 2*sqrt(b*x + 2)*b*sqrt(x))/(b^3*x + 2*b^2), -2*((b*x + 2)*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))) + sqrt(b*x + 2)*b*sqrt(x))/(b^3*x + 2*b^2)]","A",0
619,1,11,0,1.319207," ","integrate(1/(b*x+2)^(3/2)/x^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{x}}{\sqrt{b x + 2}}"," ",0,"sqrt(x)/sqrt(b*x + 2)","A",0
620,1,28,0,1.003002," ","integrate(1/x^(3/2)/(b*x+2)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{b x + 2} {\left(b x + 1\right)} \sqrt{x}}{b x^{2} + 2 \, x}"," ",0,"-sqrt(b*x + 2)*(b*x + 1)*sqrt(x)/(b*x^2 + 2*x)","A",0
621,1,39,0,0.643713," ","integrate(1/x^(5/2)/(b*x+2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} x^{2} + 2 \, b x - 1\right)} \sqrt{b x + 2} \sqrt{x}}{3 \, {\left(b x^{3} + 2 \, x^{2}\right)}}"," ",0,"1/3*(2*b^2*x^2 + 2*b*x - 1)*sqrt(b*x + 2)*sqrt(x)/(b*x^3 + 2*x^2)","A",0
622,1,47,0,1.221365," ","integrate(1/x^(7/2)/(b*x+2)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, b^{3} x^{3} + 2 \, b^{2} x^{2} - b x + 1\right)} \sqrt{b x + 2} \sqrt{x}}{5 \, {\left(b x^{4} + 2 \, x^{3}\right)}}"," ",0,"-1/5*(2*b^3*x^3 + 2*b^2*x^2 - b*x + 1)*sqrt(b*x + 2)*sqrt(x)/(b*x^4 + 2*x^3)","A",0
623,1,186,0,1.349687," ","integrate(x^(5/2)/(b*x+2)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{2} x^{2} + 4 \, b x + 4\right)} \sqrt{b} \log\left(b x - \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right) + {\left(3 \, b^{3} x^{2} + 40 \, b^{2} x + 60 \, b\right)} \sqrt{b x + 2} \sqrt{x}}{3 \, {\left(b^{6} x^{2} + 4 \, b^{5} x + 4 \, b^{4}\right)}}, \frac{30 \, {\left(b^{2} x^{2} + 4 \, b x + 4\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right) + {\left(3 \, b^{3} x^{2} + 40 \, b^{2} x + 60 \, b\right)} \sqrt{b x + 2} \sqrt{x}}{3 \, {\left(b^{6} x^{2} + 4 \, b^{5} x + 4 \, b^{4}\right)}}\right]"," ",0,"[1/3*(15*(b^2*x^2 + 4*b*x + 4)*sqrt(b)*log(b*x - sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1) + (3*b^3*x^2 + 40*b^2*x + 60*b)*sqrt(b*x + 2)*sqrt(x))/(b^6*x^2 + 4*b^5*x + 4*b^4), 1/3*(30*(b^2*x^2 + 4*b*x + 4)*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))) + (3*b^3*x^2 + 40*b^2*x + 60*b)*sqrt(b*x + 2)*sqrt(x))/(b^6*x^2 + 4*b^5*x + 4*b^4)]","A",0
624,1,171,0,1.288471," ","integrate(x^(3/2)/(b*x+2)^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} x^{2} + 4 \, b x + 4\right)} \sqrt{b} \log\left(b x + \sqrt{b x + 2} \sqrt{b} \sqrt{x} + 1\right) - 4 \, {\left(2 \, b^{2} x + 3 \, b\right)} \sqrt{b x + 2} \sqrt{x}}{3 \, {\left(b^{5} x^{2} + 4 \, b^{4} x + 4 \, b^{3}\right)}}, -\frac{2 \, {\left(3 \, {\left(b^{2} x^{2} + 4 \, b x + 4\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b}}{b \sqrt{x}}\right) + 2 \, {\left(2 \, b^{2} x + 3 \, b\right)} \sqrt{b x + 2} \sqrt{x}\right)}}{3 \, {\left(b^{5} x^{2} + 4 \, b^{4} x + 4 \, b^{3}\right)}}\right]"," ",0,"[1/3*(3*(b^2*x^2 + 4*b*x + 4)*sqrt(b)*log(b*x + sqrt(b*x + 2)*sqrt(b)*sqrt(x) + 1) - 4*(2*b^2*x + 3*b)*sqrt(b*x + 2)*sqrt(x))/(b^5*x^2 + 4*b^4*x + 4*b^3), -2/3*(3*(b^2*x^2 + 4*b*x + 4)*sqrt(-b)*arctan(sqrt(b*x + 2)*sqrt(-b)/(b*sqrt(x))) + 2*(2*b^2*x + 3*b)*sqrt(b*x + 2)*sqrt(x))/(b^5*x^2 + 4*b^4*x + 4*b^3)]","A",0
625,1,27,0,1.185344," ","integrate(x^(1/2)/(b*x+2)^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{b x + 2} x^{\frac{3}{2}}}{3 \, {\left(b^{2} x^{2} + 4 \, b x + 4\right)}}"," ",0,"1/3*sqrt(b*x + 2)*x^(3/2)/(b^2*x^2 + 4*b*x + 4)","B",0
626,1,32,0,0.813951," ","integrate(1/(b*x+2)^(5/2)/x^(1/2),x, algorithm=""fricas"")","\frac{{\left(b x + 3\right)} \sqrt{b x + 2} \sqrt{x}}{3 \, {\left(b^{2} x^{2} + 4 \, b x + 4\right)}}"," ",0,"1/3*(b*x + 3)*sqrt(b*x + 2)*sqrt(x)/(b^2*x^2 + 4*b*x + 4)","A",0
627,1,45,0,1.474422," ","integrate(1/x^(3/2)/(b*x+2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, b^{2} x^{2} + 6 \, b x + 3\right)} \sqrt{b x + 2} \sqrt{x}}{3 \, {\left(b^{2} x^{3} + 4 \, b x^{2} + 4 \, x\right)}}"," ",0,"-1/3*(2*b^2*x^2 + 6*b*x + 3)*sqrt(b*x + 2)*sqrt(x)/(b^2*x^3 + 4*b*x^2 + 4*x)","A",0
628,1,55,0,1.049422," ","integrate(1/x^(5/2)/(b*x+2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{3} x^{3} + 6 \, b^{2} x^{2} + 3 \, b x - 1\right)} \sqrt{b x + 2} \sqrt{x}}{3 \, {\left(b^{2} x^{4} + 4 \, b x^{3} + 4 \, x^{2}\right)}}"," ",0,"1/3*(2*b^3*x^3 + 6*b^2*x^2 + 3*b*x - 1)*sqrt(b*x + 2)*sqrt(x)/(b^2*x^4 + 4*b*x^3 + 4*x^2)","A",0
629,1,125,0,1.439608," ","integrate(x^(5/2)/(-b*x+2)^(1/2),x, algorithm=""fricas"")","\left[-\frac{{\left(2 \, b^{3} x^{2} + 5 \, b^{2} x + 15 \, b\right)} \sqrt{-b x + 2} \sqrt{x} + 15 \, \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{6 \, b^{4}}, -\frac{{\left(2 \, b^{3} x^{2} + 5 \, b^{2} x + 15 \, b\right)} \sqrt{-b x + 2} \sqrt{x} + 30 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{6 \, b^{4}}\right]"," ",0,"[-1/6*((2*b^3*x^2 + 5*b^2*x + 15*b)*sqrt(-b*x + 2)*sqrt(x) + 15*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b^4, -1/6*((2*b^3*x^2 + 5*b^2*x + 15*b)*sqrt(-b*x + 2)*sqrt(x) + 30*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b^4]","A",0
630,1,107,0,1.343515," ","integrate(x^(3/2)/(-b*x+2)^(1/2),x, algorithm=""fricas"")","\left[-\frac{{\left(b^{2} x + 3 \, b\right)} \sqrt{-b x + 2} \sqrt{x} + 3 \, \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{2 \, b^{3}}, -\frac{{\left(b^{2} x + 3 \, b\right)} \sqrt{-b x + 2} \sqrt{x} + 6 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{2 \, b^{3}}\right]"," ",0,"[-1/2*((b^2*x + 3*b)*sqrt(-b*x + 2)*sqrt(x) + 3*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b^3, -1/2*((b^2*x + 3*b)*sqrt(-b*x + 2)*sqrt(x) + 6*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b^3]","A",0
631,1,90,0,1.279998," ","integrate(x^(1/2)/(-b*x+2)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b x + 2} b \sqrt{x} + \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{b^{2}}, -\frac{\sqrt{-b x + 2} b \sqrt{x} + 2 \, \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{b^{2}}\right]"," ",0,"[-(sqrt(-b*x + 2)*b*sqrt(x) + sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1))/b^2, -(sqrt(-b*x + 2)*b*sqrt(x) + 2*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))))/b^2]","A",0
632,1,56,0,1.293506," ","integrate(1/x^(1/2)/(-b*x+2)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right)}{b}, -\frac{2 \, \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right)}{\sqrt{b}}\right]"," ",0,"[-sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1)/b, -2*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x)))/sqrt(b)]","A",0
633,1,13,0,1.130080," ","integrate(1/x^(3/2)/(-b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{-b x + 2}}{\sqrt{x}}"," ",0,"-sqrt(-b*x + 2)/sqrt(x)","A",0
634,1,18,0,0.874144," ","integrate(1/x^(5/2)/(-b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(b x + 1\right)} \sqrt{-b x + 2}}{3 \, x^{\frac{3}{2}}}"," ",0,"-1/3*(b*x + 1)*sqrt(-b*x + 2)/x^(3/2)","A",0
635,1,155,0,1.225850," ","integrate(x^(5/2)/(-b*x+2)^(3/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(b x - 2\right)} \sqrt{-b} \log\left(-b x - \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right) - {\left(b^{3} x^{2} + 5 \, b^{2} x - 30 \, b\right)} \sqrt{-b x + 2} \sqrt{x}}{2 \, {\left(b^{5} x - 2 \, b^{4}\right)}}, \frac{30 \, {\left(b x - 2\right)} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) + {\left(b^{3} x^{2} + 5 \, b^{2} x - 30 \, b\right)} \sqrt{-b x + 2} \sqrt{x}}{2 \, {\left(b^{5} x - 2 \, b^{4}\right)}}\right]"," ",0,"[-1/2*(15*(b*x - 2)*sqrt(-b)*log(-b*x - sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1) - (b^3*x^2 + 5*b^2*x - 30*b)*sqrt(-b*x + 2)*sqrt(x))/(b^5*x - 2*b^4), 1/2*(30*(b*x - 2)*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) + (b^3*x^2 + 5*b^2*x - 30*b)*sqrt(-b*x + 2)*sqrt(x))/(b^5*x - 2*b^4)]","A",0
636,1,138,0,1.302568," ","integrate(x^(3/2)/(-b*x+2)^(3/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(b x - 2\right)} \sqrt{-b} \log\left(-b x - \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right) - {\left(b^{2} x - 6 \, b\right)} \sqrt{-b x + 2} \sqrt{x}}{b^{4} x - 2 \, b^{3}}, \frac{6 \, {\left(b x - 2\right)} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) + {\left(b^{2} x - 6 \, b\right)} \sqrt{-b x + 2} \sqrt{x}}{b^{4} x - 2 \, b^{3}}\right]"," ",0,"[-(3*(b*x - 2)*sqrt(-b)*log(-b*x - sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1) - (b^2*x - 6*b)*sqrt(-b*x + 2)*sqrt(x))/(b^4*x - 2*b^3), (6*(b*x - 2)*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) + (b^2*x - 6*b)*sqrt(-b*x + 2)*sqrt(x))/(b^4*x - 2*b^3)]","A",0
637,1,122,0,1.042196," ","integrate(x^(1/2)/(-b*x+2)^(3/2),x, algorithm=""fricas"")","\left[-\frac{{\left(b x - 2\right)} \sqrt{-b} \log\left(-b x - \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right) + 2 \, \sqrt{-b x + 2} b \sqrt{x}}{b^{3} x - 2 \, b^{2}}, \frac{2 \, {\left({\left(b x - 2\right)} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) - \sqrt{-b x + 2} b \sqrt{x}\right)}}{b^{3} x - 2 \, b^{2}}\right]"," ",0,"[-((b*x - 2)*sqrt(-b)*log(-b*x - sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1) + 2*sqrt(-b*x + 2)*b*sqrt(x))/(b^3*x - 2*b^2), 2*((b*x - 2)*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) - sqrt(-b*x + 2)*b*sqrt(x))/(b^3*x - 2*b^2)]","A",0
638,1,20,0,1.158114," ","integrate(1/(-b*x+2)^(3/2)/x^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{-b x + 2} \sqrt{x}}{b x - 2}"," ",0,"-sqrt(-b*x + 2)*sqrt(x)/(b*x - 2)","A",0
639,1,29,0,1.132148," ","integrate(1/x^(3/2)/(-b*x+2)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(b x - 1\right)} \sqrt{-b x + 2} \sqrt{x}}{b x^{2} - 2 \, x}"," ",0,"-(b*x - 1)*sqrt(-b*x + 2)*sqrt(x)/(b*x^2 - 2*x)","A",0
640,1,40,0,1.264518," ","integrate(1/x^(5/2)/(-b*x+2)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, b^{2} x^{2} - 2 \, b x - 1\right)} \sqrt{-b x + 2} \sqrt{x}}{3 \, {\left(b x^{3} - 2 \, x^{2}\right)}}"," ",0,"-1/3*(2*b^2*x^2 - 2*b*x - 1)*sqrt(-b*x + 2)*sqrt(x)/(b*x^3 - 2*x^2)","A",0
641,1,187,0,1.136628," ","integrate(x^(5/2)/(-b*x+2)^(5/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(b^{2} x^{2} - 4 \, b x + 4\right)} \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right) + {\left(3 \, b^{3} x^{2} - 40 \, b^{2} x + 60 \, b\right)} \sqrt{-b x + 2} \sqrt{x}}{3 \, {\left(b^{6} x^{2} - 4 \, b^{5} x + 4 \, b^{4}\right)}}, -\frac{30 \, {\left(b^{2} x^{2} - 4 \, b x + 4\right)} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) + {\left(3 \, b^{3} x^{2} - 40 \, b^{2} x + 60 \, b\right)} \sqrt{-b x + 2} \sqrt{x}}{3 \, {\left(b^{6} x^{2} - 4 \, b^{5} x + 4 \, b^{4}\right)}}\right]"," ",0,"[-1/3*(15*(b^2*x^2 - 4*b*x + 4)*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1) + (3*b^3*x^2 - 40*b^2*x + 60*b)*sqrt(-b*x + 2)*sqrt(x))/(b^6*x^2 - 4*b^5*x + 4*b^4), -1/3*(30*(b^2*x^2 - 4*b*x + 4)*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) + (3*b^3*x^2 - 40*b^2*x + 60*b)*sqrt(-b*x + 2)*sqrt(x))/(b^6*x^2 - 4*b^5*x + 4*b^4)]","A",0
642,1,173,0,1.390816," ","integrate(x^(3/2)/(-b*x+2)^(5/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(b^{2} x^{2} - 4 \, b x + 4\right)} \sqrt{-b} \log\left(-b x + \sqrt{-b x + 2} \sqrt{-b} \sqrt{x} + 1\right) - 4 \, {\left(2 \, b^{2} x - 3 \, b\right)} \sqrt{-b x + 2} \sqrt{x}}{3 \, {\left(b^{5} x^{2} - 4 \, b^{4} x + 4 \, b^{3}\right)}}, -\frac{2 \, {\left(3 \, {\left(b^{2} x^{2} - 4 \, b x + 4\right)} \sqrt{b} \arctan\left(\frac{\sqrt{-b x + 2}}{\sqrt{b} \sqrt{x}}\right) - 2 \, {\left(2 \, b^{2} x - 3 \, b\right)} \sqrt{-b x + 2} \sqrt{x}\right)}}{3 \, {\left(b^{5} x^{2} - 4 \, b^{4} x + 4 \, b^{3}\right)}}\right]"," ",0,"[-1/3*(3*(b^2*x^2 - 4*b*x + 4)*sqrt(-b)*log(-b*x + sqrt(-b*x + 2)*sqrt(-b)*sqrt(x) + 1) - 4*(2*b^2*x - 3*b)*sqrt(-b*x + 2)*sqrt(x))/(b^5*x^2 - 4*b^4*x + 4*b^3), -2/3*(3*(b^2*x^2 - 4*b*x + 4)*sqrt(b)*arctan(sqrt(-b*x + 2)/(sqrt(b)*sqrt(x))) - 2*(2*b^2*x - 3*b)*sqrt(-b*x + 2)*sqrt(x))/(b^5*x^2 - 4*b^4*x + 4*b^3)]","A",0
643,1,28,0,1.033561," ","integrate(x^(1/2)/(-b*x+2)^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{-b x + 2} x^{\frac{3}{2}}}{3 \, {\left(b^{2} x^{2} - 4 \, b x + 4\right)}}"," ",0,"1/3*sqrt(-b*x + 2)*x^(3/2)/(b^2*x^2 - 4*b*x + 4)","B",0
644,1,33,0,1.309970," ","integrate(1/(-b*x+2)^(5/2)/x^(1/2),x, algorithm=""fricas"")","-\frac{{\left(b x - 3\right)} \sqrt{-b x + 2} \sqrt{x}}{3 \, {\left(b^{2} x^{2} - 4 \, b x + 4\right)}}"," ",0,"-1/3*(b*x - 3)*sqrt(-b*x + 2)*sqrt(x)/(b^2*x^2 - 4*b*x + 4)","A",0
645,1,46,0,1.183509," ","integrate(1/x^(3/2)/(-b*x+2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, b^{2} x^{2} - 6 \, b x + 3\right)} \sqrt{-b x + 2} \sqrt{x}}{3 \, {\left(b^{2} x^{3} - 4 \, b x^{2} + 4 \, x\right)}}"," ",0,"-1/3*(2*b^2*x^2 - 6*b*x + 3)*sqrt(-b*x + 2)*sqrt(x)/(b^2*x^3 - 4*b*x^2 + 4*x)","A",0
646,1,56,0,1.099499," ","integrate(1/x^(5/2)/(-b*x+2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 3 \, b x + 1\right)} \sqrt{-b x + 2} \sqrt{x}}{3 \, {\left(b^{2} x^{4} - 4 \, b x^{3} + 4 \, x^{2}\right)}}"," ",0,"-1/3*(2*b^3*x^3 - 6*b^2*x^2 + 3*b*x + 1)*sqrt(-b*x + 2)*sqrt(x)/(b^2*x^4 - 4*b*x^3 + 4*x^2)","A",0
647,1,27,0,1.515644," ","integrate(x^(1/2)/(1-x)^(1/2),x, algorithm=""fricas"")","-\sqrt{x} \sqrt{-x + 1} - \arctan\left(\frac{\sqrt{-x + 1}}{\sqrt{x}}\right)"," ",0,"-sqrt(x)*sqrt(-x + 1) - arctan(sqrt(-x + 1)/sqrt(x))","A",0
648,1,14,0,1.255168," ","integrate(1/(1-x)^(1/2)/x^(1/2),x, algorithm=""fricas"")","-2 \, \arctan\left(\frac{\sqrt{-x + 1}}{\sqrt{x}}\right)"," ",0,"-2*arctan(sqrt(-x + 1)/sqrt(x))","B",0
649,1,57,0,1.162476," ","integrate(1/x^(1/2)/(-b*x+1)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-2 \, b x + 2 \, \sqrt{-b x + 1} \sqrt{-b} \sqrt{x} + 1\right)}{b}, -\frac{2 \, \arctan\left(\frac{\sqrt{-b x + 1}}{\sqrt{b} \sqrt{x}}\right)}{\sqrt{b}}\right]"," ",0,"[-sqrt(-b)*log(-2*b*x + 2*sqrt(-b*x + 1)*sqrt(-b)*sqrt(x) + 1)/b, -2*arctan(sqrt(-b*x + 1)/(sqrt(b)*sqrt(x)))/sqrt(b)]","A",0
650,1,18,0,1.253111," ","integrate(x^(5/3)*(b*x+a),x, algorithm=""fricas"")","\frac{3}{88} \, {\left(8 \, b x^{3} + 11 \, a x^{2}\right)} x^{\frac{2}{3}}"," ",0,"3/88*(8*b*x^3 + 11*a*x^2)*x^(2/3)","A",0
651,1,18,0,1.236341," ","integrate(x^(4/3)*(b*x+a),x, algorithm=""fricas"")","\frac{3}{70} \, {\left(7 \, b x^{3} + 10 \, a x^{2}\right)} x^{\frac{1}{3}}"," ",0,"3/70*(7*b*x^3 + 10*a*x^2)*x^(1/3)","A",0
652,1,16,0,1.237589," ","integrate(x^(2/3)*(b*x+a),x, algorithm=""fricas"")","\frac{3}{40} \, {\left(5 \, b x^{2} + 8 \, a x\right)} x^{\frac{2}{3}}"," ",0,"3/40*(5*b*x^2 + 8*a*x)*x^(2/3)","A",0
653,1,16,0,1.166077," ","integrate(x^(1/3)*(b*x+a),x, algorithm=""fricas"")","\frac{3}{28} \, {\left(4 \, b x^{2} + 7 \, a x\right)} x^{\frac{1}{3}}"," ",0,"3/28*(4*b*x^2 + 7*a*x)*x^(1/3)","A",0
654,1,13,0,1.302999," ","integrate((b*x+a)/x^(1/3),x, algorithm=""fricas"")","\frac{3}{10} \, {\left(2 \, b x + 5 \, a\right)} x^{\frac{2}{3}}"," ",0,"3/10*(2*b*x + 5*a)*x^(2/3)","A",0
655,1,12,0,1.133795," ","integrate((b*x+a)/x^(2/3),x, algorithm=""fricas"")","\frac{3}{4} \, {\left(b x + 4 \, a\right)} x^{\frac{1}{3}}"," ",0,"3/4*(b*x + 4*a)*x^(1/3)","A",0
656,1,12,0,0.995820," ","integrate((b*x+a)/x^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x - 2 \, a\right)}}{2 \, x^{\frac{1}{3}}}"," ",0,"3/2*(b*x - 2*a)/x^(1/3)","A",0
657,1,13,0,1.167422," ","integrate((b*x+a)/x^(5/3),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, b x - a\right)}}{2 \, x^{\frac{2}{3}}}"," ",0,"3/2*(2*b*x - a)/x^(2/3)","A",0
658,1,29,0,1.301800," ","integrate(x^(5/3)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{3}{616} \, {\left(44 \, b^{2} x^{4} + 112 \, a b x^{3} + 77 \, a^{2} x^{2}\right)} x^{\frac{2}{3}}"," ",0,"3/616*(44*b^2*x^4 + 112*a*b*x^3 + 77*a^2*x^2)*x^(2/3)","A",0
659,1,29,0,1.017612," ","integrate(x^(4/3)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{3}{455} \, {\left(35 \, b^{2} x^{4} + 91 \, a b x^{3} + 65 \, a^{2} x^{2}\right)} x^{\frac{1}{3}}"," ",0,"3/455*(35*b^2*x^4 + 91*a*b*x^3 + 65*a^2*x^2)*x^(1/3)","A",0
660,1,27,0,1.101001," ","integrate(x^(2/3)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{3}{220} \, {\left(20 \, b^{2} x^{3} + 55 \, a b x^{2} + 44 \, a^{2} x\right)} x^{\frac{2}{3}}"," ",0,"3/220*(20*b^2*x^3 + 55*a*b*x^2 + 44*a^2*x)*x^(2/3)","A",0
661,1,27,0,1.147180," ","integrate(x^(1/3)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{3}{140} \, {\left(14 \, b^{2} x^{3} + 40 \, a b x^{2} + 35 \, a^{2} x\right)} x^{\frac{1}{3}}"," ",0,"3/140*(14*b^2*x^3 + 40*a*b*x^2 + 35*a^2*x)*x^(1/3)","A",0
662,1,24,0,1.104083," ","integrate((b*x+a)^2/x^(1/3),x, algorithm=""fricas"")","\frac{3}{40} \, {\left(5 \, b^{2} x^{2} + 16 \, a b x + 20 \, a^{2}\right)} x^{\frac{2}{3}}"," ",0,"3/40*(5*b^2*x^2 + 16*a*b*x + 20*a^2)*x^(2/3)","A",0
663,1,24,0,1.331377," ","integrate((b*x+a)^2/x^(2/3),x, algorithm=""fricas"")","\frac{3}{14} \, {\left(2 \, b^{2} x^{2} + 7 \, a b x + 14 \, a^{2}\right)} x^{\frac{1}{3}}"," ",0,"3/14*(2*b^2*x^2 + 7*a*b*x + 14*a^2)*x^(1/3)","A",0
664,1,23,0,1.287054," ","integrate((b*x+a)^2/x^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b^{2} x^{2} + 5 \, a b x - 5 \, a^{2}\right)}}{5 \, x^{\frac{1}{3}}}"," ",0,"3/5*(b^2*x^2 + 5*a*b*x - 5*a^2)/x^(1/3)","A",0
665,1,23,0,1.207098," ","integrate((b*x+a)^2/x^(5/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b^{2} x^{2} + 8 \, a b x - 2 \, a^{2}\right)}}{4 \, x^{\frac{2}{3}}}"," ",0,"3/4*(b^2*x^2 + 8*a*b*x - 2*a^2)/x^(2/3)","A",0
666,1,40,0,1.254063," ","integrate(x^(5/3)*(b*x+a)^3,x, algorithm=""fricas"")","\frac{3}{10472} \, {\left(616 \, b^{3} x^{5} + 2244 \, a b^{2} x^{4} + 2856 \, a^{2} b x^{3} + 1309 \, a^{3} x^{2}\right)} x^{\frac{2}{3}}"," ",0,"3/10472*(616*b^3*x^5 + 2244*a*b^2*x^4 + 2856*a^2*b*x^3 + 1309*a^3*x^2)*x^(2/3)","A",0
667,1,40,0,1.213058," ","integrate(x^(4/3)*(b*x+a)^3,x, algorithm=""fricas"")","\frac{3}{7280} \, {\left(455 \, b^{3} x^{5} + 1680 \, a b^{2} x^{4} + 2184 \, a^{2} b x^{3} + 1040 \, a^{3} x^{2}\right)} x^{\frac{1}{3}}"," ",0,"3/7280*(455*b^3*x^5 + 1680*a*b^2*x^4 + 2184*a^2*b*x^3 + 1040*a^3*x^2)*x^(1/3)","A",0
668,1,38,0,1.396490," ","integrate(x^(2/3)*(b*x+a)^3,x, algorithm=""fricas"")","\frac{3}{3080} \, {\left(220 \, b^{3} x^{4} + 840 \, a b^{2} x^{3} + 1155 \, a^{2} b x^{2} + 616 \, a^{3} x\right)} x^{\frac{2}{3}}"," ",0,"3/3080*(220*b^3*x^4 + 840*a*b^2*x^3 + 1155*a^2*b*x^2 + 616*a^3*x)*x^(2/3)","A",0
669,1,38,0,1.177510," ","integrate(x^(1/3)*(b*x+a)^3,x, algorithm=""fricas"")","\frac{3}{1820} \, {\left(140 \, b^{3} x^{4} + 546 \, a b^{2} x^{3} + 780 \, a^{2} b x^{2} + 455 \, a^{3} x\right)} x^{\frac{1}{3}}"," ",0,"3/1820*(140*b^3*x^4 + 546*a*b^2*x^3 + 780*a^2*b*x^2 + 455*a^3*x)*x^(1/3)","A",0
670,1,35,0,0.776486," ","integrate((b*x+a)^3/x^(1/3),x, algorithm=""fricas"")","\frac{3}{440} \, {\left(40 \, b^{3} x^{3} + 165 \, a b^{2} x^{2} + 264 \, a^{2} b x + 220 \, a^{3}\right)} x^{\frac{2}{3}}"," ",0,"3/440*(40*b^3*x^3 + 165*a*b^2*x^2 + 264*a^2*b*x + 220*a^3)*x^(2/3)","A",0
671,1,35,0,1.299819," ","integrate((b*x+a)^3/x^(2/3),x, algorithm=""fricas"")","\frac{3}{140} \, {\left(14 \, b^{3} x^{3} + 60 \, a b^{2} x^{2} + 105 \, a^{2} b x + 140 \, a^{3}\right)} x^{\frac{1}{3}}"," ",0,"3/140*(14*b^3*x^3 + 60*a*b^2*x^2 + 105*a^2*b*x + 140*a^3)*x^(1/3)","A",0
672,1,35,0,0.975603," ","integrate((b*x+a)^3/x^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, b^{3} x^{3} + 24 \, a b^{2} x^{2} + 60 \, a^{2} b x - 40 \, a^{3}\right)}}{40 \, x^{\frac{1}{3}}}"," ",0,"3/40*(5*b^3*x^3 + 24*a*b^2*x^2 + 60*a^2*b*x - 40*a^3)/x^(1/3)","A",0
673,1,35,0,1.312611," ","integrate((b*x+a)^3/x^(5/3),x, algorithm=""fricas"")","\frac{3 \, {\left(4 \, b^{3} x^{3} + 21 \, a b^{2} x^{2} + 84 \, a^{2} b x - 14 \, a^{3}\right)}}{28 \, x^{\frac{2}{3}}}"," ",0,"3/28*(4*b^3*x^3 + 21*a*b^2*x^2 + 84*a^2*b*x - 14*a^3)/x^(2/3)","A",0
674,1,147,0,0.851422," ","integrate(x^(5/3)/(b*x+a),x, algorithm=""fricas"")","\frac{10 \, \sqrt{3} a \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x^{\frac{1}{3}} \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} + \sqrt{3} a}{3 \, a}\right) - 5 \, a \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(-b x^{\frac{1}{3}} \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}} + a x^{\frac{2}{3}} - a \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}}\right) + 10 \, a \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(b \left(-\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}} + a x^{\frac{1}{3}}\right) + 3 \, {\left(2 \, b x - 5 \, a\right)} x^{\frac{2}{3}}}{10 \, b^{2}}"," ",0,"1/10*(10*sqrt(3)*a*(-a^2/b^2)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x^(1/3)*(-a^2/b^2)^(1/3) + sqrt(3)*a)/a) - 5*a*(-a^2/b^2)^(1/3)*log(-b*x^(1/3)*(-a^2/b^2)^(2/3) + a*x^(2/3) - a*(-a^2/b^2)^(1/3)) + 10*a*(-a^2/b^2)^(1/3)*log(b*(-a^2/b^2)^(2/3) + a*x^(1/3)) + 3*(2*b*x - 5*a)*x^(2/3))/b^2","A",0
675,1,116,0,1.419230," ","integrate(x^(4/3)/(b*x+a),x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} a \left(\frac{a}{b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x^{\frac{1}{3}} \left(\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) - 2 \, a \left(\frac{a}{b}\right)^{\frac{1}{3}} \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) + 4 \, a \left(\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right) + 3 \, {\left(b x - 4 \, a\right)} x^{\frac{1}{3}}}{4 \, b^{2}}"," ",0,"1/4*(4*sqrt(3)*a*(a/b)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x^(1/3)*(a/b)^(2/3) - sqrt(3)*a)/a) - 2*a*(a/b)^(1/3)*log(x^(2/3) - x^(1/3)*(a/b)^(1/3) + (a/b)^(2/3)) + 4*a*(a/b)^(1/3)*log(x^(1/3) + (a/b)^(1/3)) + 3*(b*x - 4*a)*x^(1/3))/b^2","A",0
676,1,128,0,1.453267," ","integrate(x^(2/3)/(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x^{\frac{1}{3}} \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} - \sqrt{3} a}{3 \, a}\right) + \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(-b x^{\frac{1}{3}} \left(\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}} + a x^{\frac{2}{3}} + a \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}}\right) - 2 \, \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(b \left(\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}} + a x^{\frac{1}{3}}\right) - 3 \, x^{\frac{2}{3}}}{2 \, b}"," ",0,"-1/2*(2*sqrt(3)*(a^2/b^2)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x^(1/3)*(a^2/b^2)^(1/3) - sqrt(3)*a)/a) + (a^2/b^2)^(1/3)*log(-b*x^(1/3)*(a^2/b^2)^(2/3) + a*x^(2/3) + a*(a^2/b^2)^(1/3)) - 2*(a^2/b^2)^(1/3)*log(b*(a^2/b^2)^(2/3) + a*x^(1/3)) - 3*x^(2/3))/b","A",0
677,1,114,0,1.276334," ","integrate(x^(1/3)/(b*x+a),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x^{\frac{1}{3}} \left(-\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \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 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right) + 6 \, x^{\frac{1}{3}}}{2 \, b}"," ",0,"1/2*(2*sqrt(3)*(-a/b)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x^(1/3)*(-a/b)^(2/3) - sqrt(3)*a)/a) - (-a/b)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3)) + 2*(-a/b)^(1/3)*log(x^(1/3) - (-a/b)^(1/3)) + 6*x^(1/3))/b","A",0
678,1,313,0,1.297866," ","integrate(1/x^(1/3)/(b*x+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} a b \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x - a b + \sqrt{3} {\left(a b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} a + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{\frac{2}{3}}\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{\frac{1}{3}}}{b x + a}\right) + \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{\frac{2}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x^{\frac{1}{3}} - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{2 \, a b^{2}}, \frac{2 \, \sqrt{3} a b \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{3} {\left(2 \, b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{3 \, b}\right) + \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{\frac{2}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x^{\frac{1}{3}} - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{2 \, a b^{2}}\right]"," ",0,"[1/2*(sqrt(3)*a*b*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x - a*b + sqrt(3)*(a*b*x^(1/3) + (-a*b^2)^(1/3)*a + 2*(-a*b^2)^(2/3)*x^(2/3))*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x^(1/3))/(b*x + a)) + (-a*b^2)^(2/3)*log(b^2*x^(2/3) + (-a*b^2)^(1/3)*b*x^(1/3) + (-a*b^2)^(2/3)) - 2*(-a*b^2)^(2/3)*log(b*x^(1/3) - (-a*b^2)^(1/3)))/(a*b^2), 1/2*(2*sqrt(3)*a*b*sqrt(-(-a*b^2)^(1/3)/a)*arctan(1/3*sqrt(3)*(2*b*x^(1/3) + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + (-a*b^2)^(2/3)*log(b^2*x^(2/3) + (-a*b^2)^(1/3)*b*x^(1/3) + (-a*b^2)^(2/3)) - 2*(-a*b^2)^(2/3)*log(b*x^(1/3) - (-a*b^2)^(1/3)))/(a*b^2)]","A",0
679,1,307,0,1.487424," ","integrate(1/x^(2/3)/(b*x+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} a b \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x - a^{2} + \sqrt{3} {\left(2 \, a b x^{\frac{2}{3}} - \left(a^{2} b\right)^{\frac{1}{3}} a + \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x^{\frac{1}{3}}}{b x + a}\right) - \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{2}{3}} + \left(a^{2} b\right)^{\frac{1}{3}} a - \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right) + 2 \, \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{1}{3}} + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{2 \, a^{2} b}, \frac{2 \, \sqrt{3} a b \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(-\frac{\sqrt{3} {\left(\left(a^{2} b\right)^{\frac{1}{3}} a - 2 \, \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{3 \, a^{2}}\right) - \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{2}{3}} + \left(a^{2} b\right)^{\frac{1}{3}} a - \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right) + 2 \, \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{1}{3}} + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{2 \, a^{2} b}\right]"," ",0,"[1/2*(sqrt(3)*a*b*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x - a^2 + sqrt(3)*(2*a*b*x^(2/3) - (a^2*b)^(1/3)*a + (a^2*b)^(2/3)*x^(1/3))*sqrt(-(a^2*b)^(1/3)/b) - 3*(a^2*b)^(1/3)*a*x^(1/3))/(b*x + a)) - (a^2*b)^(2/3)*log(a*b*x^(2/3) + (a^2*b)^(1/3)*a - (a^2*b)^(2/3)*x^(1/3)) + 2*(a^2*b)^(2/3)*log(a*b*x^(1/3) + (a^2*b)^(2/3)))/(a^2*b), 1/2*(2*sqrt(3)*a*b*sqrt((a^2*b)^(1/3)/b)*arctan(-1/3*sqrt(3)*((a^2*b)^(1/3)*a - 2*(a^2*b)^(2/3)*x^(1/3))*sqrt((a^2*b)^(1/3)/b)/a^2) - (a^2*b)^(2/3)*log(a*b*x^(2/3) + (a^2*b)^(1/3)*a - (a^2*b)^(2/3)*x^(1/3)) + 2*(a^2*b)^(2/3)*log(a*b*x^(1/3) + (a^2*b)^(2/3)))/(a^2*b)]","A",0
680,1,113,0,1.238723," ","integrate(1/x^(4/3)/(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x \left(\frac{b}{a}\right)^{\frac{1}{3}} \arctan\left(\frac{2}{3} \, \sqrt{3} x^{\frac{1}{3}} \left(\frac{b}{a}\right)^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + x \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(-a x^{\frac{1}{3}} \left(\frac{b}{a}\right)^{\frac{2}{3}} + b x^{\frac{2}{3}} + a \left(\frac{b}{a}\right)^{\frac{1}{3}}\right) - 2 \, x \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(a \left(\frac{b}{a}\right)^{\frac{2}{3}} + b x^{\frac{1}{3}}\right) + 6 \, x^{\frac{2}{3}}}{2 \, a x}"," ",0,"-1/2*(2*sqrt(3)*x*(b/a)^(1/3)*arctan(2/3*sqrt(3)*x^(1/3)*(b/a)^(1/3) - 1/3*sqrt(3)) + x*(b/a)^(1/3)*log(-a*x^(1/3)*(b/a)^(2/3) + b*x^(2/3) + a*(b/a)^(1/3)) - 2*x*(b/a)^(1/3)*log(a*(b/a)^(2/3) + b*x^(1/3)) + 6*x^(2/3))/(a*x)","A",0
681,1,147,0,1.424567," ","integrate(1/x^(5/3)/(b*x+a),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} a x^{\frac{1}{3}} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}} - \sqrt{3} b}{3 \, b}\right) - x \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b^{2} x^{\frac{2}{3}} + a b x^{\frac{1}{3}} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} + a^{2} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}}\right) + 2 \, x \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b x^{\frac{1}{3}} - a \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}}\right) - 3 \, x^{\frac{1}{3}}}{2 \, a x}"," ",0,"1/2*(2*sqrt(3)*x*(-b^2/a^2)^(1/3)*arctan(1/3*(2*sqrt(3)*a*x^(1/3)*(-b^2/a^2)^(2/3) - sqrt(3)*b)/b) - x*(-b^2/a^2)^(1/3)*log(b^2*x^(2/3) + a*b*x^(1/3)*(-b^2/a^2)^(1/3) + a^2*(-b^2/a^2)^(2/3)) + 2*x*(-b^2/a^2)^(1/3)*log(b*x^(1/3) - a*(-b^2/a^2)^(1/3)) - 3*x^(1/3))/(a*x)","A",0
682,1,162,0,1.348729," ","integrate(x^(5/3)/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{10 \, \sqrt{3} {\left(b x + a\right)} \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x^{\frac{1}{3}} \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} - \sqrt{3} a}{3 \, a}\right) + 5 \, {\left(b x + a\right)} \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(-b x^{\frac{1}{3}} \left(\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}} + a x^{\frac{2}{3}} + a \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}}\right) - 10 \, {\left(b x + a\right)} \left(\frac{a^{2}}{b^{2}}\right)^{\frac{1}{3}} \log\left(b \left(\frac{a^{2}}{b^{2}}\right)^{\frac{2}{3}} + a x^{\frac{1}{3}}\right) - 3 \, {\left(3 \, b x + 5 \, a\right)} x^{\frac{2}{3}}}{6 \, {\left(b^{3} x + a b^{2}\right)}}"," ",0,"-1/6*(10*sqrt(3)*(b*x + a)*(a^2/b^2)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x^(1/3)*(a^2/b^2)^(1/3) - sqrt(3)*a)/a) + 5*(b*x + a)*(a^2/b^2)^(1/3)*log(-b*x^(1/3)*(a^2/b^2)^(2/3) + a*x^(2/3) + a*(a^2/b^2)^(1/3)) - 10*(b*x + a)*(a^2/b^2)^(1/3)*log(b*(a^2/b^2)^(2/3) + a*x^(1/3)) - 3*(3*b*x + 5*a)*x^(2/3))/(b^3*x + a*b^2)","A",0
683,1,147,0,1.396043," ","integrate(x^(4/3)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} {\left(b x + a\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} b x^{\frac{1}{3}} \left(-\frac{a}{b}\right)^{\frac{2}{3}} - \sqrt{3} a}{3 \, a}\right) - 2 \, {\left(b x + a\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \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) + 4 \, {\left(b x + a\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left(x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right) + 3 \, {\left(3 \, b x + 4 \, a\right)} x^{\frac{1}{3}}}{3 \, {\left(b^{3} x + a b^{2}\right)}}"," ",0,"1/3*(4*sqrt(3)*(b*x + a)*(-a/b)^(1/3)*arctan(1/3*(2*sqrt(3)*b*x^(1/3)*(-a/b)^(2/3) - sqrt(3)*a)/a) - 2*(b*x + a)*(-a/b)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3)) + 4*(b*x + a)*(-a/b)^(1/3)*log(x^(1/3) - (-a/b)^(1/3)) + 3*(3*b*x + 4*a)*x^(1/3))/(b^3*x + a*b^2)","A",0
684,1,394,0,1.316270," ","integrate(x^(2/3)/(b*x+a)^2,x, algorithm=""fricas"")","\left[-\frac{3 \, a b^{2} x^{\frac{2}{3}} - 3 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x + a^{2} b\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} a + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{\frac{2}{3}}\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{\frac{1}{3}}}{b x + a}\right) - \left(-a b^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(b^{2} x^{\frac{2}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{2}{3}}\right) + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(b x^{\frac{1}{3}} - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{3 \, {\left(a b^{4} x + a^{2} b^{3}\right)}}, -\frac{3 \, a b^{2} x^{\frac{2}{3}} - 6 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x + a^{2} b\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) - \left(-a b^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(b^{2} x^{\frac{2}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{2}{3}}\right) + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(b x^{\frac{1}{3}} - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{3 \, {\left(a b^{4} x + a^{2} b^{3}\right)}}\right]"," ",0,"[-1/3*(3*a*b^2*x^(2/3) - 3*sqrt(1/3)*(a*b^2*x + a^2*b)*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x - a*b + 3*sqrt(1/3)*(a*b*x^(1/3) + (-a*b^2)^(1/3)*a + 2*(-a*b^2)^(2/3)*x^(2/3))*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x^(1/3))/(b*x + a)) - (-a*b^2)^(2/3)*(b*x + a)*log(b^2*x^(2/3) + (-a*b^2)^(1/3)*b*x^(1/3) + (-a*b^2)^(2/3)) + 2*(-a*b^2)^(2/3)*(b*x + a)*log(b*x^(1/3) - (-a*b^2)^(1/3)))/(a*b^4*x + a^2*b^3), -1/3*(3*a*b^2*x^(2/3) - 6*sqrt(1/3)*(a*b^2*x + a^2*b)*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x^(1/3) + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) - (-a*b^2)^(2/3)*(b*x + a)*log(b^2*x^(2/3) + (-a*b^2)^(1/3)*b*x^(1/3) + (-a*b^2)^(2/3)) + 2*(-a*b^2)^(2/3)*(b*x + a)*log(b*x^(1/3) - (-a*b^2)^(1/3)))/(a*b^4*x + a^2*b^3)]","B",0
685,1,389,0,1.253158," ","integrate(x^(1/3)/(b*x+a)^2,x, algorithm=""fricas"")","\left[-\frac{6 \, a^{2} b x^{\frac{1}{3}} - 3 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x + a^{2} b\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{\frac{2}{3}} - \left(a^{2} b\right)^{\frac{1}{3}} a + \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x^{\frac{1}{3}}}{b x + a}\right) + \left(a^{2} b\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(a b x^{\frac{2}{3}} + \left(a^{2} b\right)^{\frac{1}{3}} a - \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right) - 2 \, \left(a^{2} b\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(a b x^{\frac{1}{3}} + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{6 \, {\left(a^{2} b^{3} x + a^{3} b^{2}\right)}}, -\frac{6 \, a^{2} b x^{\frac{1}{3}} - 6 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x + a^{2} b\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(\left(a^{2} b\right)^{\frac{1}{3}} a - 2 \, \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) + \left(a^{2} b\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(a b x^{\frac{2}{3}} + \left(a^{2} b\right)^{\frac{1}{3}} a - \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right) - 2 \, \left(a^{2} b\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(a b x^{\frac{1}{3}} + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{6 \, {\left(a^{2} b^{3} x + a^{3} b^{2}\right)}}\right]"," ",0,"[-1/6*(6*a^2*b*x^(1/3) - 3*sqrt(1/3)*(a*b^2*x + a^2*b)*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^(2/3) - (a^2*b)^(1/3)*a + (a^2*b)^(2/3)*x^(1/3))*sqrt(-(a^2*b)^(1/3)/b) - 3*(a^2*b)^(1/3)*a*x^(1/3))/(b*x + a)) + (a^2*b)^(2/3)*(b*x + a)*log(a*b*x^(2/3) + (a^2*b)^(1/3)*a - (a^2*b)^(2/3)*x^(1/3)) - 2*(a^2*b)^(2/3)*(b*x + a)*log(a*b*x^(1/3) + (a^2*b)^(2/3)))/(a^2*b^3*x + a^3*b^2), -1/6*(6*a^2*b*x^(1/3) - 6*sqrt(1/3)*(a*b^2*x + a^2*b)*sqrt((a^2*b)^(1/3)/b)*arctan(-sqrt(1/3)*((a^2*b)^(1/3)*a - 2*(a^2*b)^(2/3)*x^(1/3))*sqrt((a^2*b)^(1/3)/b)/a^2) + (a^2*b)^(2/3)*(b*x + a)*log(a*b*x^(2/3) + (a^2*b)^(1/3)*a - (a^2*b)^(2/3)*x^(1/3)) - 2*(a^2*b)^(2/3)*(b*x + a)*log(a*b*x^(1/3) + (a^2*b)^(2/3)))/(a^2*b^3*x + a^3*b^2)]","B",0
686,1,396,0,1.437819," ","integrate(1/x^(1/3)/(b*x+a)^2,x, algorithm=""fricas"")","\left[\frac{6 \, a b^{2} x^{\frac{2}{3}} + 3 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x + a^{2} b\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} a + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{\frac{2}{3}}\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{\frac{1}{3}}}{b x + a}\right) + \left(-a b^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(b^{2} x^{\frac{2}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(b x^{\frac{1}{3}} - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{6 \, {\left(a^{2} b^{3} x + a^{3} b^{2}\right)}}, \frac{6 \, a b^{2} x^{\frac{2}{3}} + 6 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x + a^{2} b\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + \left(-a b^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(b^{2} x^{\frac{2}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(b x^{\frac{1}{3}} - \left(-a b^{2}\right)^{\frac{1}{3}}\right)}{6 \, {\left(a^{2} b^{3} x + a^{3} b^{2}\right)}}\right]"," ",0,"[1/6*(6*a*b^2*x^(2/3) + 3*sqrt(1/3)*(a*b^2*x + a^2*b)*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x - a*b + 3*sqrt(1/3)*(a*b*x^(1/3) + (-a*b^2)^(1/3)*a + 2*(-a*b^2)^(2/3)*x^(2/3))*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x^(1/3))/(b*x + a)) + (-a*b^2)^(2/3)*(b*x + a)*log(b^2*x^(2/3) + (-a*b^2)^(1/3)*b*x^(1/3) + (-a*b^2)^(2/3)) - 2*(-a*b^2)^(2/3)*(b*x + a)*log(b*x^(1/3) - (-a*b^2)^(1/3)))/(a^2*b^3*x + a^3*b^2), 1/6*(6*a*b^2*x^(2/3) + 6*sqrt(1/3)*(a*b^2*x + a^2*b)*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x^(1/3) + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + (-a*b^2)^(2/3)*(b*x + a)*log(b^2*x^(2/3) + (-a*b^2)^(1/3)*b*x^(1/3) + (-a*b^2)^(2/3)) - 2*(-a*b^2)^(2/3)*(b*x + a)*log(b*x^(1/3) - (-a*b^2)^(1/3)))/(a^2*b^3*x + a^3*b^2)]","B",0
687,1,387,0,1.193301," ","integrate(1/x^(2/3)/(b*x+a)^2,x, algorithm=""fricas"")","\left[\frac{3 \, a^{2} b x^{\frac{1}{3}} + 3 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x + a^{2} b\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{\frac{2}{3}} - \left(a^{2} b\right)^{\frac{1}{3}} a + \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x^{\frac{1}{3}}}{b x + a}\right) - \left(a^{2} b\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(a b x^{\frac{2}{3}} + \left(a^{2} b\right)^{\frac{1}{3}} a - \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right) + 2 \, \left(a^{2} b\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(a b x^{\frac{1}{3}} + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{3 \, {\left(a^{3} b^{2} x + a^{4} b\right)}}, \frac{3 \, a^{2} b x^{\frac{1}{3}} + 6 \, \sqrt{\frac{1}{3}} {\left(a b^{2} x + a^{2} b\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(\left(a^{2} b\right)^{\frac{1}{3}} a - 2 \, \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - \left(a^{2} b\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(a b x^{\frac{2}{3}} + \left(a^{2} b\right)^{\frac{1}{3}} a - \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right) + 2 \, \left(a^{2} b\right)^{\frac{2}{3}} {\left(b x + a\right)} \log\left(a b x^{\frac{1}{3}} + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{3 \, {\left(a^{3} b^{2} x + a^{4} b\right)}}\right]"," ",0,"[1/3*(3*a^2*b*x^(1/3) + 3*sqrt(1/3)*(a*b^2*x + a^2*b)*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^(2/3) - (a^2*b)^(1/3)*a + (a^2*b)^(2/3)*x^(1/3))*sqrt(-(a^2*b)^(1/3)/b) - 3*(a^2*b)^(1/3)*a*x^(1/3))/(b*x + a)) - (a^2*b)^(2/3)*(b*x + a)*log(a*b*x^(2/3) + (a^2*b)^(1/3)*a - (a^2*b)^(2/3)*x^(1/3)) + 2*(a^2*b)^(2/3)*(b*x + a)*log(a*b*x^(1/3) + (a^2*b)^(2/3)))/(a^3*b^2*x + a^4*b), 1/3*(3*a^2*b*x^(1/3) + 6*sqrt(1/3)*(a*b^2*x + a^2*b)*sqrt((a^2*b)^(1/3)/b)*arctan(-sqrt(1/3)*((a^2*b)^(1/3)*a - 2*(a^2*b)^(2/3)*x^(1/3))*sqrt((a^2*b)^(1/3)/b)/a^2) - (a^2*b)^(2/3)*(b*x + a)*log(a*b*x^(2/3) + (a^2*b)^(1/3)*a - (a^2*b)^(2/3)*x^(1/3)) + 2*(a^2*b)^(2/3)*(b*x + a)*log(a*b*x^(1/3) + (a^2*b)^(2/3)))/(a^3*b^2*x + a^4*b)]","B",0
688,1,156,0,1.009408," ","integrate(1/x^(4/3)/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} {\left(b x^{2} + a x\right)} \left(\frac{b}{a}\right)^{\frac{1}{3}} \arctan\left(\frac{2}{3} \, \sqrt{3} x^{\frac{1}{3}} \left(\frac{b}{a}\right)^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + 2 \, {\left(b x^{2} + a x\right)} \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(-a x^{\frac{1}{3}} \left(\frac{b}{a}\right)^{\frac{2}{3}} + b x^{\frac{2}{3}} + a \left(\frac{b}{a}\right)^{\frac{1}{3}}\right) - 4 \, {\left(b x^{2} + a x\right)} \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(a \left(\frac{b}{a}\right)^{\frac{2}{3}} + b x^{\frac{1}{3}}\right) + 3 \, {\left(4 \, b x + 3 \, a\right)} x^{\frac{2}{3}}}{3 \, {\left(a^{2} b x^{2} + a^{3} x\right)}}"," ",0,"-1/3*(4*sqrt(3)*(b*x^2 + a*x)*(b/a)^(1/3)*arctan(2/3*sqrt(3)*x^(1/3)*(b/a)^(1/3) - 1/3*sqrt(3)) + 2*(b*x^2 + a*x)*(b/a)^(1/3)*log(-a*x^(1/3)*(b/a)^(2/3) + b*x^(2/3) + a*(b/a)^(1/3)) - 4*(b*x^2 + a*x)*(b/a)^(1/3)*log(a*(b/a)^(2/3) + b*x^(1/3)) + 3*(4*b*x + 3*a)*x^(2/3))/(a^2*b*x^2 + a^3*x)","A",0
689,1,189,0,0.649808," ","integrate(1/x^(5/3)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{10 \, \sqrt{3} {\left(b x^{2} + a x\right)} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} a x^{\frac{1}{3}} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}} - \sqrt{3} b}{3 \, b}\right) - 5 \, {\left(b x^{2} + a x\right)} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b^{2} x^{\frac{2}{3}} + a b x^{\frac{1}{3}} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} + a^{2} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}}\right) + 10 \, {\left(b x^{2} + a x\right)} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b x^{\frac{1}{3}} - a \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}}\right) - 3 \, {\left(5 \, b x + 3 \, a\right)} x^{\frac{1}{3}}}{6 \, {\left(a^{2} b x^{2} + a^{3} x\right)}}"," ",0,"1/6*(10*sqrt(3)*(b*x^2 + a*x)*(-b^2/a^2)^(1/3)*arctan(1/3*(2*sqrt(3)*a*x^(1/3)*(-b^2/a^2)^(2/3) - sqrt(3)*b)/b) - 5*(b*x^2 + a*x)*(-b^2/a^2)^(1/3)*log(b^2*x^(2/3) + a*b*x^(1/3)*(-b^2/a^2)^(1/3) + a^2*(-b^2/a^2)^(2/3)) + 10*(b*x^2 + a*x)*(-b^2/a^2)^(1/3)*log(b*x^(1/3) - a*(-b^2/a^2)^(1/3)) - 3*(5*b*x + 3*a)*x^(1/3))/(a^2*b*x^2 + a^3*x)","B",0
690,1,506,0,1.028165," ","integrate(x^(5/3)/(b*x+a)^3,x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} a + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{\frac{2}{3}}\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{\frac{1}{3}}}{b x + a}\right) + 5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{\frac{2}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 10 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x^{\frac{1}{3}} - \left(-a b^{2}\right)^{\frac{1}{3}}\right) - 3 \, {\left(8 \, a b^{3} x + 5 \, a^{2} b^{2}\right)} x^{\frac{2}{3}}}{18 \, {\left(a b^{6} x^{2} + 2 \, a^{2} b^{5} x + a^{3} b^{4}\right)}}, \frac{30 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + 5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{\frac{2}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 10 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x^{\frac{1}{3}} - \left(-a b^{2}\right)^{\frac{1}{3}}\right) - 3 \, {\left(8 \, a b^{3} x + 5 \, a^{2} b^{2}\right)} x^{\frac{2}{3}}}{18 \, {\left(a b^{6} x^{2} + 2 \, a^{2} b^{5} x + a^{3} b^{4}\right)}}\right]"," ",0,"[1/18*(15*sqrt(1/3)*(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b)*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x - a*b + 3*sqrt(1/3)*(a*b*x^(1/3) + (-a*b^2)^(1/3)*a + 2*(-a*b^2)^(2/3)*x^(2/3))*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x^(1/3))/(b*x + a)) + 5*(b^2*x^2 + 2*a*b*x + a^2)*(-a*b^2)^(2/3)*log(b^2*x^(2/3) + (-a*b^2)^(1/3)*b*x^(1/3) + (-a*b^2)^(2/3)) - 10*(b^2*x^2 + 2*a*b*x + a^2)*(-a*b^2)^(2/3)*log(b*x^(1/3) - (-a*b^2)^(1/3)) - 3*(8*a*b^3*x + 5*a^2*b^2)*x^(2/3))/(a*b^6*x^2 + 2*a^2*b^5*x + a^3*b^4), 1/18*(30*sqrt(1/3)*(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b)*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x^(1/3) + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + 5*(b^2*x^2 + 2*a*b*x + a^2)*(-a*b^2)^(2/3)*log(b^2*x^(2/3) + (-a*b^2)^(1/3)*b*x^(1/3) + (-a*b^2)^(2/3)) - 10*(b^2*x^2 + 2*a*b*x + a^2)*(-a*b^2)^(2/3)*log(b*x^(1/3) - (-a*b^2)^(1/3)) - 3*(8*a*b^3*x + 5*a^2*b^2)*x^(2/3))/(a*b^6*x^2 + 2*a^2*b^5*x + a^3*b^4)]","B",0
691,1,503,0,1.114620," ","integrate(x^(4/3)/(b*x+a)^3,x, algorithm=""fricas"")","\left[\frac{6 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{\frac{2}{3}} - \left(a^{2} b\right)^{\frac{1}{3}} a + \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x^{\frac{1}{3}}}{b x + a}\right) - 2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{2}{3}} + \left(a^{2} b\right)^{\frac{1}{3}} a - \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right) + 4 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{1}{3}} + \left(a^{2} b\right)^{\frac{2}{3}}\right) - 3 \, {\left(7 \, a^{2} b^{2} x + 4 \, a^{3} b\right)} x^{\frac{1}{3}}}{18 \, {\left(a^{2} b^{5} x^{2} + 2 \, a^{3} b^{4} x + a^{4} b^{3}\right)}}, \frac{12 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(\left(a^{2} b\right)^{\frac{1}{3}} a - 2 \, \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - 2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{2}{3}} + \left(a^{2} b\right)^{\frac{1}{3}} a - \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right) + 4 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{1}{3}} + \left(a^{2} b\right)^{\frac{2}{3}}\right) - 3 \, {\left(7 \, a^{2} b^{2} x + 4 \, a^{3} b\right)} x^{\frac{1}{3}}}{18 \, {\left(a^{2} b^{5} x^{2} + 2 \, a^{3} b^{4} x + a^{4} b^{3}\right)}}\right]"," ",0,"[1/18*(6*sqrt(1/3)*(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b)*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^(2/3) - (a^2*b)^(1/3)*a + (a^2*b)^(2/3)*x^(1/3))*sqrt(-(a^2*b)^(1/3)/b) - 3*(a^2*b)^(1/3)*a*x^(1/3))/(b*x + a)) - 2*(b^2*x^2 + 2*a*b*x + a^2)*(a^2*b)^(2/3)*log(a*b*x^(2/3) + (a^2*b)^(1/3)*a - (a^2*b)^(2/3)*x^(1/3)) + 4*(b^2*x^2 + 2*a*b*x + a^2)*(a^2*b)^(2/3)*log(a*b*x^(1/3) + (a^2*b)^(2/3)) - 3*(7*a^2*b^2*x + 4*a^3*b)*x^(1/3))/(a^2*b^5*x^2 + 2*a^3*b^4*x + a^4*b^3), 1/18*(12*sqrt(1/3)*(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b)*sqrt((a^2*b)^(1/3)/b)*arctan(-sqrt(1/3)*((a^2*b)^(1/3)*a - 2*(a^2*b)^(2/3)*x^(1/3))*sqrt((a^2*b)^(1/3)/b)/a^2) - 2*(b^2*x^2 + 2*a*b*x + a^2)*(a^2*b)^(2/3)*log(a*b*x^(2/3) + (a^2*b)^(1/3)*a - (a^2*b)^(2/3)*x^(1/3)) + 4*(b^2*x^2 + 2*a*b*x + a^2)*(a^2*b)^(2/3)*log(a*b*x^(1/3) + (a^2*b)^(2/3)) - 3*(7*a^2*b^2*x + 4*a^3*b)*x^(1/3))/(a^2*b^5*x^2 + 2*a^3*b^4*x + a^4*b^3)]","B",0
692,1,508,0,0.989389," ","integrate(x^(2/3)/(b*x+a)^3,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} a + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{\frac{2}{3}}\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{\frac{1}{3}}}{b x + a}\right) + {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{\frac{2}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x^{\frac{1}{3}} - \left(-a b^{2}\right)^{\frac{1}{3}}\right) + 3 \, {\left(2 \, a b^{3} x - a^{2} b^{2}\right)} x^{\frac{2}{3}}}{18 \, {\left(a^{2} b^{5} x^{2} + 2 \, a^{3} b^{4} x + a^{4} b^{3}\right)}}, \frac{6 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{\frac{2}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x^{\frac{1}{3}} - \left(-a b^{2}\right)^{\frac{1}{3}}\right) + 3 \, {\left(2 \, a b^{3} x - a^{2} b^{2}\right)} x^{\frac{2}{3}}}{18 \, {\left(a^{2} b^{5} x^{2} + 2 \, a^{3} b^{4} x + a^{4} b^{3}\right)}}\right]"," ",0,"[1/18*(3*sqrt(1/3)*(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b)*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x - a*b + 3*sqrt(1/3)*(a*b*x^(1/3) + (-a*b^2)^(1/3)*a + 2*(-a*b^2)^(2/3)*x^(2/3))*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x^(1/3))/(b*x + a)) + (b^2*x^2 + 2*a*b*x + a^2)*(-a*b^2)^(2/3)*log(b^2*x^(2/3) + (-a*b^2)^(1/3)*b*x^(1/3) + (-a*b^2)^(2/3)) - 2*(b^2*x^2 + 2*a*b*x + a^2)*(-a*b^2)^(2/3)*log(b*x^(1/3) - (-a*b^2)^(1/3)) + 3*(2*a*b^3*x - a^2*b^2)*x^(2/3))/(a^2*b^5*x^2 + 2*a^3*b^4*x + a^4*b^3), 1/18*(6*sqrt(1/3)*(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b)*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x^(1/3) + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + (b^2*x^2 + 2*a*b*x + a^2)*(-a*b^2)^(2/3)*log(b^2*x^(2/3) + (-a*b^2)^(1/3)*b*x^(1/3) + (-a*b^2)^(2/3)) - 2*(b^2*x^2 + 2*a*b*x + a^2)*(-a*b^2)^(2/3)*log(b*x^(1/3) - (-a*b^2)^(1/3)) + 3*(2*a*b^3*x - a^2*b^2)*x^(2/3))/(a^2*b^5*x^2 + 2*a^3*b^4*x + a^4*b^3)]","B",0
693,1,501,0,1.207012," ","integrate(x^(1/3)/(b*x+a)^3,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{\frac{2}{3}} - \left(a^{2} b\right)^{\frac{1}{3}} a + \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x^{\frac{1}{3}}}{b x + a}\right) - {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{2}{3}} + \left(a^{2} b\right)^{\frac{1}{3}} a - \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right) + 2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{1}{3}} + \left(a^{2} b\right)^{\frac{2}{3}}\right) + 3 \, {\left(a^{2} b^{2} x - 2 \, a^{3} b\right)} x^{\frac{1}{3}}}{18 \, {\left(a^{3} b^{4} x^{2} + 2 \, a^{4} b^{3} x + a^{5} b^{2}\right)}}, \frac{6 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(\left(a^{2} b\right)^{\frac{1}{3}} a - 2 \, \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{2}{3}} + \left(a^{2} b\right)^{\frac{1}{3}} a - \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right) + 2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{1}{3}} + \left(a^{2} b\right)^{\frac{2}{3}}\right) + 3 \, {\left(a^{2} b^{2} x - 2 \, a^{3} b\right)} x^{\frac{1}{3}}}{18 \, {\left(a^{3} b^{4} x^{2} + 2 \, a^{4} b^{3} x + a^{5} b^{2}\right)}}\right]"," ",0,"[1/18*(3*sqrt(1/3)*(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b)*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^(2/3) - (a^2*b)^(1/3)*a + (a^2*b)^(2/3)*x^(1/3))*sqrt(-(a^2*b)^(1/3)/b) - 3*(a^2*b)^(1/3)*a*x^(1/3))/(b*x + a)) - (b^2*x^2 + 2*a*b*x + a^2)*(a^2*b)^(2/3)*log(a*b*x^(2/3) + (a^2*b)^(1/3)*a - (a^2*b)^(2/3)*x^(1/3)) + 2*(b^2*x^2 + 2*a*b*x + a^2)*(a^2*b)^(2/3)*log(a*b*x^(1/3) + (a^2*b)^(2/3)) + 3*(a^2*b^2*x - 2*a^3*b)*x^(1/3))/(a^3*b^4*x^2 + 2*a^4*b^3*x + a^5*b^2), 1/18*(6*sqrt(1/3)*(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b)*sqrt((a^2*b)^(1/3)/b)*arctan(-sqrt(1/3)*((a^2*b)^(1/3)*a - 2*(a^2*b)^(2/3)*x^(1/3))*sqrt((a^2*b)^(1/3)/b)/a^2) - (b^2*x^2 + 2*a*b*x + a^2)*(a^2*b)^(2/3)*log(a*b*x^(2/3) + (a^2*b)^(1/3)*a - (a^2*b)^(2/3)*x^(1/3)) + 2*(b^2*x^2 + 2*a*b*x + a^2)*(a^2*b)^(2/3)*log(a*b*x^(1/3) + (a^2*b)^(2/3)) + 3*(a^2*b^2*x - 2*a^3*b)*x^(1/3))/(a^3*b^4*x^2 + 2*a^4*b^3*x + a^5*b^2)]","B",0
694,1,510,0,0.885800," ","integrate(1/x^(1/3)/(b*x+a)^3,x, algorithm=""fricas"")","\left[\frac{6 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, b^{2} x - a b + 3 \, \sqrt{\frac{1}{3}} {\left(a b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} a + 2 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{\frac{2}{3}}\right)} \sqrt{\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} x^{\frac{1}{3}}}{b x + a}\right) + 2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{\frac{2}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 4 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x^{\frac{1}{3}} - \left(-a b^{2}\right)^{\frac{1}{3}}\right) + 3 \, {\left(4 \, a b^{3} x + 7 \, a^{2} b^{2}\right)} x^{\frac{2}{3}}}{18 \, {\left(a^{3} b^{4} x^{2} + 2 \, a^{4} b^{3} x + a^{5} b^{2}\right)}}, \frac{12 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-a b^{2}\right)^{\frac{1}{3}}}{a}}}{b}\right) + 2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b^{2} x^{\frac{2}{3}} + \left(-a b^{2}\right)^{\frac{1}{3}} b x^{\frac{1}{3}} + \left(-a b^{2}\right)^{\frac{2}{3}}\right) - 4 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} \log\left(b x^{\frac{1}{3}} - \left(-a b^{2}\right)^{\frac{1}{3}}\right) + 3 \, {\left(4 \, a b^{3} x + 7 \, a^{2} b^{2}\right)} x^{\frac{2}{3}}}{18 \, {\left(a^{3} b^{4} x^{2} + 2 \, a^{4} b^{3} x + a^{5} b^{2}\right)}}\right]"," ",0,"[1/18*(6*sqrt(1/3)*(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b)*sqrt((-a*b^2)^(1/3)/a)*log((2*b^2*x - a*b + 3*sqrt(1/3)*(a*b*x^(1/3) + (-a*b^2)^(1/3)*a + 2*(-a*b^2)^(2/3)*x^(2/3))*sqrt((-a*b^2)^(1/3)/a) - 3*(-a*b^2)^(2/3)*x^(1/3))/(b*x + a)) + 2*(b^2*x^2 + 2*a*b*x + a^2)*(-a*b^2)^(2/3)*log(b^2*x^(2/3) + (-a*b^2)^(1/3)*b*x^(1/3) + (-a*b^2)^(2/3)) - 4*(b^2*x^2 + 2*a*b*x + a^2)*(-a*b^2)^(2/3)*log(b*x^(1/3) - (-a*b^2)^(1/3)) + 3*(4*a*b^3*x + 7*a^2*b^2)*x^(2/3))/(a^3*b^4*x^2 + 2*a^4*b^3*x + a^5*b^2), 1/18*(12*sqrt(1/3)*(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b)*sqrt(-(-a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*b*x^(1/3) + (-a*b^2)^(1/3))*sqrt(-(-a*b^2)^(1/3)/a)/b) + 2*(b^2*x^2 + 2*a*b*x + a^2)*(-a*b^2)^(2/3)*log(b^2*x^(2/3) + (-a*b^2)^(1/3)*b*x^(1/3) + (-a*b^2)^(2/3)) - 4*(b^2*x^2 + 2*a*b*x + a^2)*(-a*b^2)^(2/3)*log(b*x^(1/3) - (-a*b^2)^(1/3)) + 3*(4*a*b^3*x + 7*a^2*b^2)*x^(2/3))/(a^3*b^4*x^2 + 2*a^4*b^3*x + a^5*b^2)]","B",0
695,1,499,0,1.365494," ","integrate(1/x^(2/3)/(b*x+a)^3,x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b x - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{\frac{2}{3}} - \left(a^{2} b\right)^{\frac{1}{3}} a + \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} a x^{\frac{1}{3}}}{b x + a}\right) - 5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{2}{3}} + \left(a^{2} b\right)^{\frac{1}{3}} a - \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right) + 10 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{1}{3}} + \left(a^{2} b\right)^{\frac{2}{3}}\right) + 3 \, {\left(5 \, a^{2} b^{2} x + 8 \, a^{3} b\right)} x^{\frac{1}{3}}}{18 \, {\left(a^{4} b^{3} x^{2} + 2 \, a^{5} b^{2} x + a^{6} b\right)}}, \frac{30 \, \sqrt{\frac{1}{3}} {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(-\frac{\sqrt{\frac{1}{3}} {\left(\left(a^{2} b\right)^{\frac{1}{3}} a - 2 \, \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - 5 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{2}{3}} + \left(a^{2} b\right)^{\frac{1}{3}} a - \left(a^{2} b\right)^{\frac{2}{3}} x^{\frac{1}{3}}\right) + 10 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b x^{\frac{1}{3}} + \left(a^{2} b\right)^{\frac{2}{3}}\right) + 3 \, {\left(5 \, a^{2} b^{2} x + 8 \, a^{3} b\right)} x^{\frac{1}{3}}}{18 \, {\left(a^{4} b^{3} x^{2} + 2 \, a^{5} b^{2} x + a^{6} b\right)}}\right]"," ",0,"[1/18*(15*sqrt(1/3)*(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b)*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*x - a^2 + 3*sqrt(1/3)*(2*a*b*x^(2/3) - (a^2*b)^(1/3)*a + (a^2*b)^(2/3)*x^(1/3))*sqrt(-(a^2*b)^(1/3)/b) - 3*(a^2*b)^(1/3)*a*x^(1/3))/(b*x + a)) - 5*(b^2*x^2 + 2*a*b*x + a^2)*(a^2*b)^(2/3)*log(a*b*x^(2/3) + (a^2*b)^(1/3)*a - (a^2*b)^(2/3)*x^(1/3)) + 10*(b^2*x^2 + 2*a*b*x + a^2)*(a^2*b)^(2/3)*log(a*b*x^(1/3) + (a^2*b)^(2/3)) + 3*(5*a^2*b^2*x + 8*a^3*b)*x^(1/3))/(a^4*b^3*x^2 + 2*a^5*b^2*x + a^6*b), 1/18*(30*sqrt(1/3)*(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b)*sqrt((a^2*b)^(1/3)/b)*arctan(-sqrt(1/3)*((a^2*b)^(1/3)*a - 2*(a^2*b)^(2/3)*x^(1/3))*sqrt((a^2*b)^(1/3)/b)/a^2) - 5*(b^2*x^2 + 2*a*b*x + a^2)*(a^2*b)^(2/3)*log(a*b*x^(2/3) + (a^2*b)^(1/3)*a - (a^2*b)^(2/3)*x^(1/3)) + 10*(b^2*x^2 + 2*a*b*x + a^2)*(a^2*b)^(2/3)*log(a*b*x^(1/3) + (a^2*b)^(2/3)) + 3*(5*a^2*b^2*x + 8*a^3*b)*x^(1/3))/(a^4*b^3*x^2 + 2*a^5*b^2*x + a^6*b)]","B",0
696,1,211,0,1.285647," ","integrate(1/x^(4/3)/(b*x+a)^3,x, algorithm=""fricas"")","-\frac{28 \, \sqrt{3} {\left(b^{2} x^{3} + 2 \, a b x^{2} + a^{2} x\right)} \left(\frac{b}{a}\right)^{\frac{1}{3}} \arctan\left(\frac{2}{3} \, \sqrt{3} x^{\frac{1}{3}} \left(\frac{b}{a}\right)^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) + 14 \, {\left(b^{2} x^{3} + 2 \, a b x^{2} + a^{2} x\right)} \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(-a x^{\frac{1}{3}} \left(\frac{b}{a}\right)^{\frac{2}{3}} + b x^{\frac{2}{3}} + a \left(\frac{b}{a}\right)^{\frac{1}{3}}\right) - 28 \, {\left(b^{2} x^{3} + 2 \, a b x^{2} + a^{2} x\right)} \left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left(a \left(\frac{b}{a}\right)^{\frac{2}{3}} + b x^{\frac{1}{3}}\right) + 3 \, {\left(28 \, b^{2} x^{2} + 49 \, a b x + 18 \, a^{2}\right)} x^{\frac{2}{3}}}{18 \, {\left(a^{3} b^{2} x^{3} + 2 \, a^{4} b x^{2} + a^{5} x\right)}}"," ",0,"-1/18*(28*sqrt(3)*(b^2*x^3 + 2*a*b*x^2 + a^2*x)*(b/a)^(1/3)*arctan(2/3*sqrt(3)*x^(1/3)*(b/a)^(1/3) - 1/3*sqrt(3)) + 14*(b^2*x^3 + 2*a*b*x^2 + a^2*x)*(b/a)^(1/3)*log(-a*x^(1/3)*(b/a)^(2/3) + b*x^(2/3) + a*(b/a)^(1/3)) - 28*(b^2*x^3 + 2*a*b*x^2 + a^2*x)*(b/a)^(1/3)*log(a*(b/a)^(2/3) + b*x^(1/3)) + 3*(28*b^2*x^2 + 49*a*b*x + 18*a^2)*x^(2/3))/(a^3*b^2*x^3 + 2*a^4*b*x^2 + a^5*x)","A",0
697,1,244,0,0.668286," ","integrate(1/x^(5/3)/(b*x+a)^3,x, algorithm=""fricas"")","\frac{40 \, \sqrt{3} {\left(b^{2} x^{3} + 2 \, a b x^{2} + a^{2} x\right)} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} a x^{\frac{1}{3}} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}} - \sqrt{3} b}{3 \, b}\right) - 20 \, {\left(b^{2} x^{3} + 2 \, a b x^{2} + a^{2} x\right)} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b^{2} x^{\frac{2}{3}} + a b x^{\frac{1}{3}} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} + a^{2} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{2}{3}}\right) + 40 \, {\left(b^{2} x^{3} + 2 \, a b x^{2} + a^{2} x\right)} \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}} \log\left(b x^{\frac{1}{3}} - a \left(-\frac{b^{2}}{a^{2}}\right)^{\frac{1}{3}}\right) - 3 \, {\left(20 \, b^{2} x^{2} + 32 \, a b x + 9 \, a^{2}\right)} x^{\frac{1}{3}}}{18 \, {\left(a^{3} b^{2} x^{3} + 2 \, a^{4} b x^{2} + a^{5} x\right)}}"," ",0,"1/18*(40*sqrt(3)*(b^2*x^3 + 2*a*b*x^2 + a^2*x)*(-b^2/a^2)^(1/3)*arctan(1/3*(2*sqrt(3)*a*x^(1/3)*(-b^2/a^2)^(2/3) - sqrt(3)*b)/b) - 20*(b^2*x^3 + 2*a*b*x^2 + a^2*x)*(-b^2/a^2)^(1/3)*log(b^2*x^(2/3) + a*b*x^(1/3)*(-b^2/a^2)^(1/3) + a^2*(-b^2/a^2)^(2/3)) + 40*(b^2*x^3 + 2*a*b*x^2 + a^2*x)*(-b^2/a^2)^(1/3)*log(b*x^(1/3) - a*(-b^2/a^2)^(1/3)) - 3*(20*b^2*x^2 + 32*a*b*x + 9*a^2)*x^(1/3))/(a^3*b^2*x^3 + 2*a^4*b*x^2 + a^5*x)","B",0
698,1,82,0,0.960786," ","integrate((1-x)^(1/4)/(1+x),x, algorithm=""fricas"")","4 \cdot 2^{\frac{1}{4}} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{4}} \sqrt{\sqrt{2} + \sqrt{-x + 1}} - \frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}\right) - 2^{\frac{1}{4}} \log\left(2^{\frac{1}{4}} + {\left(-x + 1\right)}^{\frac{1}{4}}\right) + 2^{\frac{1}{4}} \log\left(-2^{\frac{1}{4}} + {\left(-x + 1\right)}^{\frac{1}{4}}\right) + 4 \, {\left(-x + 1\right)}^{\frac{1}{4}}"," ",0,"4*2^(1/4)*arctan(1/2*2^(3/4)*sqrt(sqrt(2) + sqrt(-x + 1)) - 1/2*2^(3/4)*(-x + 1)^(1/4)) - 2^(1/4)*log(2^(1/4) + (-x + 1)^(1/4)) + 2^(1/4)*log(-2^(1/4) + (-x + 1)^(1/4)) + 4*(-x + 1)^(1/4)","A",0
699,1,1277,0,1.167843," ","integrate(x^m*(b*x+a)^10,x, algorithm=""fricas"")","\frac{{\left({\left(b^{10} m^{10} + 55 \, b^{10} m^{9} + 1320 \, b^{10} m^{8} + 18150 \, b^{10} m^{7} + 157773 \, b^{10} m^{6} + 902055 \, b^{10} m^{5} + 3416930 \, b^{10} m^{4} + 8409500 \, b^{10} m^{3} + 12753576 \, b^{10} m^{2} + 10628640 \, b^{10} m + 3628800 \, b^{10}\right)} x^{11} + 10 \, {\left(a b^{9} m^{10} + 56 \, a b^{9} m^{9} + 1365 \, a b^{9} m^{8} + 19020 \, a b^{9} m^{7} + 167223 \, a b^{9} m^{6} + 965328 \, a b^{9} m^{5} + 3686255 \, a b^{9} m^{4} + 9133180 \, a b^{9} m^{3} + 13926276 \, a b^{9} m^{2} + 11655216 \, a b^{9} m + 3991680 \, a b^{9}\right)} x^{10} + 45 \, {\left(a^{2} b^{8} m^{10} + 57 \, a^{2} b^{8} m^{9} + 1412 \, a^{2} b^{8} m^{8} + 19962 \, a^{2} b^{8} m^{7} + 177765 \, a^{2} b^{8} m^{6} + 1037673 \, a^{2} b^{8} m^{5} + 4000478 \, a^{2} b^{8} m^{4} + 9991428 \, a^{2} b^{8} m^{3} + 15335224 \, a^{2} b^{8} m^{2} + 12900960 \, a^{2} b^{8} m + 4435200 \, a^{2} b^{8}\right)} x^{9} + 120 \, {\left(a^{3} b^{7} m^{10} + 58 \, a^{3} b^{7} m^{9} + 1461 \, a^{3} b^{7} m^{8} + 20982 \, a^{3} b^{7} m^{7} + 189567 \, a^{3} b^{7} m^{6} + 1121022 \, a^{3} b^{7} m^{5} + 4371359 \, a^{3} b^{7} m^{4} + 11024858 \, a^{3} b^{7} m^{3} + 17059212 \, a^{3} b^{7} m^{2} + 14444280 \, a^{3} b^{7} m + 4989600 \, a^{3} b^{7}\right)} x^{8} + 210 \, {\left(a^{4} b^{6} m^{10} + 59 \, a^{4} b^{6} m^{9} + 1512 \, a^{4} b^{6} m^{8} + 22086 \, a^{4} b^{6} m^{7} + 202821 \, a^{4} b^{6} m^{6} + 1217811 \, a^{4} b^{6} m^{5} + 4814858 \, a^{4} b^{6} m^{4} + 12291724 \, a^{4} b^{6} m^{3} + 19216008 \, a^{4} b^{6} m^{2} + 16405920 \, a^{4} b^{6} m + 5702400 \, a^{4} b^{6}\right)} x^{7} + 252 \, {\left(a^{5} b^{5} m^{10} + 60 \, a^{5} b^{5} m^{9} + 1565 \, a^{5} b^{5} m^{8} + 23280 \, a^{5} b^{5} m^{7} + 217743 \, a^{5} b^{5} m^{6} + 1331100 \, a^{5} b^{5} m^{5} + 5352935 \, a^{5} b^{5} m^{4} + 13878120 \, a^{5} b^{5} m^{3} + 21989356 \, a^{5} b^{5} m^{2} + 18981840 \, a^{5} b^{5} m + 6652800 \, a^{5} b^{5}\right)} x^{6} + 210 \, {\left(a^{6} b^{4} m^{10} + 61 \, a^{6} b^{4} m^{9} + 1620 \, a^{6} b^{4} m^{8} + 24570 \, a^{6} b^{4} m^{7} + 234573 \, a^{6} b^{4} m^{6} + 1464693 \, a^{6} b^{4} m^{5} + 6016070 \, a^{6} b^{4} m^{4} + 15915380 \, a^{6} b^{4} m^{3} + 25681176 \, a^{6} b^{4} m^{2} + 22512096 \, a^{6} b^{4} m + 7983360 \, a^{6} b^{4}\right)} x^{5} + 120 \, {\left(a^{7} b^{3} m^{10} + 62 \, a^{7} b^{3} m^{9} + 1677 \, a^{7} b^{3} m^{8} + 25962 \, a^{7} b^{3} m^{7} + 253575 \, a^{7} b^{3} m^{6} + 1623258 \, a^{7} b^{3} m^{5} + 6846503 \, a^{7} b^{3} m^{4} + 18609718 \, a^{7} b^{3} m^{3} + 30819204 \, a^{7} b^{3} m^{2} + 27641160 \, a^{7} b^{3} m + 9979200 \, a^{7} b^{3}\right)} x^{4} + 45 \, {\left(a^{8} b^{2} m^{10} + 63 \, a^{8} b^{2} m^{9} + 1736 \, a^{8} b^{2} m^{8} + 27462 \, a^{8} b^{2} m^{7} + 275037 \, a^{8} b^{2} m^{6} + 1812447 \, a^{8} b^{2} m^{5} + 7902194 \, a^{8} b^{2} m^{4} + 22289148 \, a^{8} b^{2} m^{3} + 38390632 \, a^{8} b^{2} m^{2} + 35746080 \, a^{8} b^{2} m + 13305600 \, a^{8} b^{2}\right)} x^{3} + 10 \, {\left(a^{9} b m^{10} + 64 \, a^{9} b m^{9} + 1797 \, a^{9} b m^{8} + 29076 \, a^{9} b m^{7} + 299271 \, a^{9} b m^{6} + 2039016 \, a^{9} b m^{5} + 9261503 \, a^{9} b m^{4} + 27472724 \, a^{9} b m^{3} + 50312628 \, a^{9} b m^{2} + 50292720 \, a^{9} b m + 19958400 \, a^{9} b\right)} x^{2} + {\left(a^{10} m^{10} + 65 \, a^{10} m^{9} + 1860 \, a^{10} m^{8} + 30810 \, a^{10} m^{7} + 326613 \, a^{10} m^{6} + 2310945 \, a^{10} m^{5} + 11028590 \, a^{10} m^{4} + 34967140 \, a^{10} m^{3} + 70290936 \, a^{10} m^{2} + 80627040 \, a^{10} m + 39916800 \, a^{10}\right)} x\right)} x^{m}}{m^{11} + 66 \, m^{10} + 1925 \, m^{9} + 32670 \, m^{8} + 357423 \, m^{7} + 2637558 \, m^{6} + 13339535 \, m^{5} + 45995730 \, m^{4} + 105258076 \, m^{3} + 150917976 \, m^{2} + 120543840 \, m + 39916800}"," ",0,"((b^10*m^10 + 55*b^10*m^9 + 1320*b^10*m^8 + 18150*b^10*m^7 + 157773*b^10*m^6 + 902055*b^10*m^5 + 3416930*b^10*m^4 + 8409500*b^10*m^3 + 12753576*b^10*m^2 + 10628640*b^10*m + 3628800*b^10)*x^11 + 10*(a*b^9*m^10 + 56*a*b^9*m^9 + 1365*a*b^9*m^8 + 19020*a*b^9*m^7 + 167223*a*b^9*m^6 + 965328*a*b^9*m^5 + 3686255*a*b^9*m^4 + 9133180*a*b^9*m^3 + 13926276*a*b^9*m^2 + 11655216*a*b^9*m + 3991680*a*b^9)*x^10 + 45*(a^2*b^8*m^10 + 57*a^2*b^8*m^9 + 1412*a^2*b^8*m^8 + 19962*a^2*b^8*m^7 + 177765*a^2*b^8*m^6 + 1037673*a^2*b^8*m^5 + 4000478*a^2*b^8*m^4 + 9991428*a^2*b^8*m^3 + 15335224*a^2*b^8*m^2 + 12900960*a^2*b^8*m + 4435200*a^2*b^8)*x^9 + 120*(a^3*b^7*m^10 + 58*a^3*b^7*m^9 + 1461*a^3*b^7*m^8 + 20982*a^3*b^7*m^7 + 189567*a^3*b^7*m^6 + 1121022*a^3*b^7*m^5 + 4371359*a^3*b^7*m^4 + 11024858*a^3*b^7*m^3 + 17059212*a^3*b^7*m^2 + 14444280*a^3*b^7*m + 4989600*a^3*b^7)*x^8 + 210*(a^4*b^6*m^10 + 59*a^4*b^6*m^9 + 1512*a^4*b^6*m^8 + 22086*a^4*b^6*m^7 + 202821*a^4*b^6*m^6 + 1217811*a^4*b^6*m^5 + 4814858*a^4*b^6*m^4 + 12291724*a^4*b^6*m^3 + 19216008*a^4*b^6*m^2 + 16405920*a^4*b^6*m + 5702400*a^4*b^6)*x^7 + 252*(a^5*b^5*m^10 + 60*a^5*b^5*m^9 + 1565*a^5*b^5*m^8 + 23280*a^5*b^5*m^7 + 217743*a^5*b^5*m^6 + 1331100*a^5*b^5*m^5 + 5352935*a^5*b^5*m^4 + 13878120*a^5*b^5*m^3 + 21989356*a^5*b^5*m^2 + 18981840*a^5*b^5*m + 6652800*a^5*b^5)*x^6 + 210*(a^6*b^4*m^10 + 61*a^6*b^4*m^9 + 1620*a^6*b^4*m^8 + 24570*a^6*b^4*m^7 + 234573*a^6*b^4*m^6 + 1464693*a^6*b^4*m^5 + 6016070*a^6*b^4*m^4 + 15915380*a^6*b^4*m^3 + 25681176*a^6*b^4*m^2 + 22512096*a^6*b^4*m + 7983360*a^6*b^4)*x^5 + 120*(a^7*b^3*m^10 + 62*a^7*b^3*m^9 + 1677*a^7*b^3*m^8 + 25962*a^7*b^3*m^7 + 253575*a^7*b^3*m^6 + 1623258*a^7*b^3*m^5 + 6846503*a^7*b^3*m^4 + 18609718*a^7*b^3*m^3 + 30819204*a^7*b^3*m^2 + 27641160*a^7*b^3*m + 9979200*a^7*b^3)*x^4 + 45*(a^8*b^2*m^10 + 63*a^8*b^2*m^9 + 1736*a^8*b^2*m^8 + 27462*a^8*b^2*m^7 + 275037*a^8*b^2*m^6 + 1812447*a^8*b^2*m^5 + 7902194*a^8*b^2*m^4 + 22289148*a^8*b^2*m^3 + 38390632*a^8*b^2*m^2 + 35746080*a^8*b^2*m + 13305600*a^8*b^2)*x^3 + 10*(a^9*b*m^10 + 64*a^9*b*m^9 + 1797*a^9*b*m^8 + 29076*a^9*b*m^7 + 299271*a^9*b*m^6 + 2039016*a^9*b*m^5 + 9261503*a^9*b*m^4 + 27472724*a^9*b*m^3 + 50312628*a^9*b*m^2 + 50292720*a^9*b*m + 19958400*a^9*b)*x^2 + (a^10*m^10 + 65*a^10*m^9 + 1860*a^10*m^8 + 30810*a^10*m^7 + 326613*a^10*m^6 + 2310945*a^10*m^5 + 11028590*a^10*m^4 + 34967140*a^10*m^3 + 70290936*a^10*m^2 + 80627040*a^10*m + 39916800*a^10)*x)*x^m/(m^11 + 66*m^10 + 1925*m^9 + 32670*m^8 + 357423*m^7 + 2637558*m^6 + 13339535*m^5 + 45995730*m^4 + 105258076*m^3 + 150917976*m^2 + 120543840*m + 39916800)","B",0
700,1,665,0,1.347147," ","integrate(x^m*(b*x+a)^7,x, algorithm=""fricas"")","\frac{{\left({\left(b^{7} m^{7} + 28 \, b^{7} m^{6} + 322 \, b^{7} m^{5} + 1960 \, b^{7} m^{4} + 6769 \, b^{7} m^{3} + 13132 \, b^{7} m^{2} + 13068 \, b^{7} m + 5040 \, b^{7}\right)} x^{8} + 7 \, {\left(a b^{6} m^{7} + 29 \, a b^{6} m^{6} + 343 \, a b^{6} m^{5} + 2135 \, a b^{6} m^{4} + 7504 \, a b^{6} m^{3} + 14756 \, a b^{6} m^{2} + 14832 \, a b^{6} m + 5760 \, a b^{6}\right)} x^{7} + 21 \, {\left(a^{2} b^{5} m^{7} + 30 \, a^{2} b^{5} m^{6} + 366 \, a^{2} b^{5} m^{5} + 2340 \, a^{2} b^{5} m^{4} + 8409 \, a^{2} b^{5} m^{3} + 16830 \, a^{2} b^{5} m^{2} + 17144 \, a^{2} b^{5} m + 6720 \, a^{2} b^{5}\right)} x^{6} + 35 \, {\left(a^{3} b^{4} m^{7} + 31 \, a^{3} b^{4} m^{6} + 391 \, a^{3} b^{4} m^{5} + 2581 \, a^{3} b^{4} m^{4} + 9544 \, a^{3} b^{4} m^{3} + 19564 \, a^{3} b^{4} m^{2} + 20304 \, a^{3} b^{4} m + 8064 \, a^{3} b^{4}\right)} x^{5} + 35 \, {\left(a^{4} b^{3} m^{7} + 32 \, a^{4} b^{3} m^{6} + 418 \, a^{4} b^{3} m^{5} + 2864 \, a^{4} b^{3} m^{4} + 10993 \, a^{4} b^{3} m^{3} + 23312 \, a^{4} b^{3} m^{2} + 24876 \, a^{4} b^{3} m + 10080 \, a^{4} b^{3}\right)} x^{4} + 21 \, {\left(a^{5} b^{2} m^{7} + 33 \, a^{5} b^{2} m^{6} + 447 \, a^{5} b^{2} m^{5} + 3195 \, a^{5} b^{2} m^{4} + 12864 \, a^{5} b^{2} m^{3} + 28692 \, a^{5} b^{2} m^{2} + 32048 \, a^{5} b^{2} m + 13440 \, a^{5} b^{2}\right)} x^{3} + 7 \, {\left(a^{6} b m^{7} + 34 \, a^{6} b m^{6} + 478 \, a^{6} b m^{5} + 3580 \, a^{6} b m^{4} + 15289 \, a^{6} b m^{3} + 36706 \, a^{6} b m^{2} + 44712 \, a^{6} b m + 20160 \, a^{6} b\right)} x^{2} + {\left(a^{7} m^{7} + 35 \, a^{7} m^{6} + 511 \, a^{7} m^{5} + 4025 \, a^{7} m^{4} + 18424 \, a^{7} m^{3} + 48860 \, a^{7} m^{2} + 69264 \, a^{7} m + 40320 \, a^{7}\right)} x\right)} x^{m}}{m^{8} + 36 \, m^{7} + 546 \, m^{6} + 4536 \, m^{5} + 22449 \, m^{4} + 67284 \, m^{3} + 118124 \, m^{2} + 109584 \, m + 40320}"," ",0,"((b^7*m^7 + 28*b^7*m^6 + 322*b^7*m^5 + 1960*b^7*m^4 + 6769*b^7*m^3 + 13132*b^7*m^2 + 13068*b^7*m + 5040*b^7)*x^8 + 7*(a*b^6*m^7 + 29*a*b^6*m^6 + 343*a*b^6*m^5 + 2135*a*b^6*m^4 + 7504*a*b^6*m^3 + 14756*a*b^6*m^2 + 14832*a*b^6*m + 5760*a*b^6)*x^7 + 21*(a^2*b^5*m^7 + 30*a^2*b^5*m^6 + 366*a^2*b^5*m^5 + 2340*a^2*b^5*m^4 + 8409*a^2*b^5*m^3 + 16830*a^2*b^5*m^2 + 17144*a^2*b^5*m + 6720*a^2*b^5)*x^6 + 35*(a^3*b^4*m^7 + 31*a^3*b^4*m^6 + 391*a^3*b^4*m^5 + 2581*a^3*b^4*m^4 + 9544*a^3*b^4*m^3 + 19564*a^3*b^4*m^2 + 20304*a^3*b^4*m + 8064*a^3*b^4)*x^5 + 35*(a^4*b^3*m^7 + 32*a^4*b^3*m^6 + 418*a^4*b^3*m^5 + 2864*a^4*b^3*m^4 + 10993*a^4*b^3*m^3 + 23312*a^4*b^3*m^2 + 24876*a^4*b^3*m + 10080*a^4*b^3)*x^4 + 21*(a^5*b^2*m^7 + 33*a^5*b^2*m^6 + 447*a^5*b^2*m^5 + 3195*a^5*b^2*m^4 + 12864*a^5*b^2*m^3 + 28692*a^5*b^2*m^2 + 32048*a^5*b^2*m + 13440*a^5*b^2)*x^3 + 7*(a^6*b*m^7 + 34*a^6*b*m^6 + 478*a^6*b*m^5 + 3580*a^6*b*m^4 + 15289*a^6*b*m^3 + 36706*a^6*b*m^2 + 44712*a^6*b*m + 20160*a^6*b)*x^2 + (a^7*m^7 + 35*a^7*m^6 + 511*a^7*m^5 + 4025*a^7*m^4 + 18424*a^7*m^3 + 48860*a^7*m^2 + 69264*a^7*m + 40320*a^7)*x)*x^m/(m^8 + 36*m^7 + 546*m^6 + 4536*m^5 + 22449*m^4 + 67284*m^3 + 118124*m^2 + 109584*m + 40320)","B",0
701,1,157,0,1.034520," ","integrate(x^m*(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left({\left(b^{3} m^{3} + 6 \, b^{3} m^{2} + 11 \, b^{3} m + 6 \, b^{3}\right)} x^{4} + 3 \, {\left(a b^{2} m^{3} + 7 \, a b^{2} m^{2} + 14 \, a b^{2} m + 8 \, a b^{2}\right)} x^{3} + 3 \, {\left(a^{2} b m^{3} + 8 \, a^{2} b m^{2} + 19 \, a^{2} b m + 12 \, a^{2} b\right)} x^{2} + {\left(a^{3} m^{3} + 9 \, a^{3} m^{2} + 26 \, a^{3} m + 24 \, a^{3}\right)} x\right)} x^{m}}{m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24}"," ",0,"((b^3*m^3 + 6*b^3*m^2 + 11*b^3*m + 6*b^3)*x^4 + 3*(a*b^2*m^3 + 7*a*b^2*m^2 + 14*a*b^2*m + 8*a*b^2)*x^3 + 3*(a^2*b*m^3 + 8*a^2*b*m^2 + 19*a^2*b*m + 12*a^2*b)*x^2 + (a^3*m^3 + 9*a^3*m^2 + 26*a^3*m + 24*a^3)*x)*x^m/(m^4 + 10*m^3 + 35*m^2 + 50*m + 24)","B",0
702,1,85,0,1.166565," ","integrate(x^m*(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} m^{2} + 3 \, b^{2} m + 2 \, b^{2}\right)} x^{3} + 2 \, {\left(a b m^{2} + 4 \, a b m + 3 \, a b\right)} x^{2} + {\left(a^{2} m^{2} + 5 \, a^{2} m + 6 \, a^{2}\right)} x\right)} x^{m}}{m^{3} + 6 \, m^{2} + 11 \, m + 6}"," ",0,"((b^2*m^2 + 3*b^2*m + 2*b^2)*x^3 + 2*(a*b*m^2 + 4*a*b*m + 3*a*b)*x^2 + (a^2*m^2 + 5*a^2*m + 6*a^2)*x)*x^m/(m^3 + 6*m^2 + 11*m + 6)","A",0
703,1,33,0,0.791911," ","integrate(x^m*(b*x+a),x, algorithm=""fricas"")","\frac{{\left({\left(b m + b\right)} x^{2} + {\left(a m + 2 \, a\right)} x\right)} x^{m}}{m^{2} + 3 \, m + 2}"," ",0,"((b*m + b)*x^2 + (a*m + 2*a)*x)*x^m/(m^2 + 3*m + 2)","A",0
704,0,0,0,1.231741," ","integrate(x^m/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m}}{b x + a}, x\right)"," ",0,"integral(x^m/(b*x + a), x)","F",0
705,0,0,0,1.175761," ","integrate(x^m/(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral(x^m/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
706,0,0,0,0.978253," ","integrate(x^m/(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}, x\right)"," ",0,"integral(x^m/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
707,0,0,0,1.126605," ","integrate(x^m*(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{b x + a} x^{m}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2)*sqrt(b*x + a)*x^m, x)","F",0
708,0,0,0,1.185523," ","integrate(x^m*(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{3}{2}} x^{m}, x\right)"," ",0,"integral((b*x + a)^(3/2)*x^m, x)","F",0
709,0,0,0,1.172920," ","integrate(x^m*(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x + a} x^{m}, x\right)"," ",0,"integral(sqrt(b*x + a)*x^m, x)","F",0
710,0,0,0,1.385413," ","integrate(x^m/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m}}{\sqrt{b x + a}}, x\right)"," ",0,"integral(x^m/sqrt(b*x + a), x)","F",0
711,0,0,0,1.196615," ","integrate(x^m/(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} x^{m}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x + a)*x^m/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
712,0,0,0,1.149905," ","integrate(x^m/(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} x^{m}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x + a)*x^m/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
713,0,0,0,0.910050," ","integrate(x^(2+m)/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m + 2}}{\sqrt{b x + a}}, x\right)"," ",0,"integral(x^(m + 2)/sqrt(b*x + a), x)","F",0
714,0,0,0,1.083786," ","integrate(x^(1+m)/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m + 1}}{\sqrt{b x + a}}, x\right)"," ",0,"integral(x^(m + 1)/sqrt(b*x + a), x)","F",0
715,0,0,0,0.996736," ","integrate(x^m/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m}}{\sqrt{b x + a}}, x\right)"," ",0,"integral(x^m/sqrt(b*x + a), x)","F",0
716,0,0,0,1.039802," ","integrate(x^(-1+m)/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m - 1}}{\sqrt{b x + a}}, x\right)"," ",0,"integral(x^(m - 1)/sqrt(b*x + a), x)","F",0
717,0,0,0,0.791386," ","integrate(x^(-2+m)/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m - 2}}{\sqrt{b x + a}}, x\right)"," ",0,"integral(x^(m - 2)/sqrt(b*x + a), x)","F",0
718,0,0,0,0.943165," ","integrate(x^(-3+m)/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m - 3}}{\sqrt{b x + a}}, x\right)"," ",0,"integral(x^(m - 3)/sqrt(b*x + a), x)","F",0
719,0,0,0,1.157436," ","integrate(x^m/(2+3*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m}}{\sqrt{3 \, x + 2}}, x\right)"," ",0,"integral(x^m/sqrt(3*x + 2), x)","F",0
720,0,0,0,0.824588," ","integrate(x^m/(2-3*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{x^{m} \sqrt{-3 \, x + 2}}{3 \, x - 2}, x\right)"," ",0,"integral(-x^m*sqrt(-3*x + 2)/(3*x - 2), x)","F",0
721,0,0,0,1.280753," ","integrate(x^m/(-2+3*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m}}{\sqrt{3 \, x - 2}}, x\right)"," ",0,"integral(x^m/sqrt(3*x - 2), x)","F",0
722,0,0,0,0.991686," ","integrate(x^m/(-2-3*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{x^{m} \sqrt{-3 \, x - 2}}{3 \, x + 2}, x\right)"," ",0,"integral(-x^m*sqrt(-3*x - 2)/(3*x + 2), x)","F",0
723,0,0,0,1.344108," ","integrate((-x)^m/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(-x\right)^{m}}{\sqrt{b x + a}}, x\right)"," ",0,"integral((-x)^m/sqrt(b*x + a), x)","F",0
724,0,0,0,1.429803," ","integrate((-x)^m/(2+3*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(-x\right)^{m}}{\sqrt{3 \, x + 2}}, x\right)"," ",0,"integral((-x)^m/sqrt(3*x + 2), x)","F",0
725,0,0,0,1.286969," ","integrate((-x)^m/(2-3*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\left(-x\right)^{m} \sqrt{-3 \, x + 2}}{3 \, x - 2}, x\right)"," ",0,"integral(-(-x)^m*sqrt(-3*x + 2)/(3*x - 2), x)","F",0
726,0,0,0,1.231798," ","integrate((-x)^m/(-2+3*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(-x\right)^{m}}{\sqrt{3 \, x - 2}}, x\right)"," ",0,"integral((-x)^m/sqrt(3*x - 2), x)","F",0
727,0,0,0,1.303257," ","integrate((-x)^m/(-2-3*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\left(-x\right)^{m} \sqrt{-3 \, x - 2}}{3 \, x + 2}, x\right)"," ",0,"integral(-(-x)^m*sqrt(-3*x - 2)/(3*x + 2), x)","F",0
728,0,0,0,0.867573," ","integrate(x^n/(1-x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{x^{n} \sqrt{-x + 1}}{x - 1}, x\right)"," ",0,"integral(-x^n*sqrt(-x + 1)/(x - 1), x)","F",0
729,0,0,0,1.239990," ","integrate(x^n/(-a*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a x + a} x^{n}}{a x - a}, x\right)"," ",0,"integral(-sqrt(-a*x + a)*x^n/(a*x - a), x)","F",0
730,0,0,0,1.274858," ","integrate(x^m*(b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{n} x^{m}, x\right)"," ",0,"integral((b*x + a)^n*x^m, x)","F",0
731,0,0,0,0.885848," ","integrate((c*x)^m*(b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{n} \left(c x\right)^{m}, x\right)"," ",0,"integral((b*x + a)^n*(c*x)^m, x)","F",0
732,1,143,0,1.286176," ","integrate(x^3*(b*x+a)^n,x, algorithm=""fricas"")","\frac{{\left(6 \, a^{3} b n x + {\left(b^{4} n^{3} + 6 \, b^{4} n^{2} + 11 \, b^{4} n + 6 \, b^{4}\right)} x^{4} - 6 \, a^{4} + {\left(a b^{3} n^{3} + 3 \, a b^{3} n^{2} + 2 \, a b^{3} n\right)} x^{3} - 3 \, {\left(a^{2} b^{2} n^{2} + a^{2} b^{2} n\right)} x^{2}\right)} {\left(b x + a\right)}^{n}}{b^{4} n^{4} + 10 \, b^{4} n^{3} + 35 \, b^{4} n^{2} + 50 \, b^{4} n + 24 \, b^{4}}"," ",0,"(6*a^3*b*n*x + (b^4*n^3 + 6*b^4*n^2 + 11*b^4*n + 6*b^4)*x^4 - 6*a^4 + (a*b^3*n^3 + 3*a*b^3*n^2 + 2*a*b^3*n)*x^3 - 3*(a^2*b^2*n^2 + a^2*b^2*n)*x^2)*(b*x + a)^n/(b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4)","A",0
733,1,96,0,1.077499," ","integrate(x^2*(b*x+a)^n,x, algorithm=""fricas"")","-\frac{{\left(2 \, a^{2} b n x - {\left(b^{3} n^{2} + 3 \, b^{3} n + 2 \, b^{3}\right)} x^{3} - 2 \, a^{3} - {\left(a b^{2} n^{2} + a b^{2} n\right)} x^{2}\right)} {\left(b x + a\right)}^{n}}{b^{3} n^{3} + 6 \, b^{3} n^{2} + 11 \, b^{3} n + 6 \, b^{3}}"," ",0,"-(2*a^2*b*n*x - (b^3*n^2 + 3*b^3*n + 2*b^3)*x^3 - 2*a^3 - (a*b^2*n^2 + a*b^2*n)*x^2)*(b*x + a)^n/(b^3*n^3 + 6*b^3*n^2 + 11*b^3*n + 6*b^3)","A",0
734,1,53,0,1.144289," ","integrate(x*(b*x+a)^n,x, algorithm=""fricas"")","\frac{{\left(a b n x + {\left(b^{2} n + b^{2}\right)} x^{2} - a^{2}\right)} {\left(b x + a\right)}^{n}}{b^{2} n^{2} + 3 \, b^{2} n + 2 \, b^{2}}"," ",0,"(a*b*n*x + (b^2*n + b^2)*x^2 - a^2)*(b*x + a)^n/(b^2*n^2 + 3*b^2*n + 2*b^2)","A",0
735,1,20,0,1.231123," ","integrate((b*x+a)^n,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} {\left(b x + a\right)}^{n}}{b n + b}"," ",0,"(b*x + a)*(b*x + a)^n/(b*n + b)","A",0
736,0,0,0,1.303205," ","integrate((b*x+a)^n/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{n}}{x}, x\right)"," ",0,"integral((b*x + a)^n/x, x)","F",0
737,0,0,0,1.219222," ","integrate((b*x+a)^n/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{n}}{x^{2}}, x\right)"," ",0,"integral((b*x + a)^n/x^2, x)","F",0
738,0,0,0,0.718510," ","integrate((b*x+a)^n/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{n}}{x^{3}}, x\right)"," ",0,"integral((b*x + a)^n/x^3, x)","F",0
739,1,104,0,0.993296," ","integrate(x^(-4+n)/((b*x+a)^n),x, algorithm=""fricas"")","\frac{{\left(2 \, a b^{2} n x^{3} + 2 \, b^{3} x^{4} + {\left(a^{2} b n^{2} - a^{2} b n\right)} x^{2} + {\left(a^{3} n^{2} - 3 \, a^{3} n + 2 \, a^{3}\right)} x\right)} x^{n - 4}}{{\left(a^{3} n^{3} - 6 \, a^{3} n^{2} + 11 \, a^{3} n - 6 \, a^{3}\right)} {\left(b x + a\right)}^{n}}"," ",0,"(2*a*b^2*n*x^3 + 2*b^3*x^4 + (a^2*b*n^2 - a^2*b*n)*x^2 + (a^3*n^2 - 3*a^3*n + 2*a^3)*x)*x^(n - 4)/((a^3*n^3 - 6*a^3*n^2 + 11*a^3*n - 6*a^3)*(b*x + a)^n)","A",0
740,1,64,0,1.225528," ","integrate(x^(-3+n)/((b*x+a)^n),x, algorithm=""fricas"")","\frac{{\left(a b n x^{2} + b^{2} x^{3} + {\left(a^{2} n - a^{2}\right)} x\right)} x^{n - 3}}{{\left(a^{2} n^{2} - 3 \, a^{2} n + 2 \, a^{2}\right)} {\left(b x + a\right)}^{n}}"," ",0,"(a*b*n*x^2 + b^2*x^3 + (a^2*n - a^2)*x)*x^(n - 3)/((a^2*n^2 - 3*a^2*n + 2*a^2)*(b*x + a)^n)","A",0
741,1,33,0,0.973352," ","integrate(x^(-2+n)/((b*x+a)^n),x, algorithm=""fricas"")","\frac{{\left(b x^{2} + a x\right)} x^{n - 2}}{{\left(a n - a\right)} {\left(b x + a\right)}^{n}}"," ",0,"(b*x^2 + a*x)*x^(n - 2)/((a*n - a)*(b*x + a)^n)","A",0
742,0,0,0,1.270832," ","integrate(x^(-1+n)/((b*x+a)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{n - 1}}{{\left(b x + a\right)}^{n}}, x\right)"," ",0,"integral(x^(n - 1)/(b*x + a)^n, x)","F",0
743,0,0,0,0.892645," ","integrate(x^n/((b*x+a)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{n}}{{\left(b x + a\right)}^{n}}, x\right)"," ",0,"integral(x^n/(b*x + a)^n, x)","F",0
744,0,0,0,1.107861," ","integrate(x^(1+n)/((b*x+a)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{n + 1}}{{\left(b x + a\right)}^{n}}, x\right)"," ",0,"integral(x^(n + 1)/(b*x + a)^n, x)","F",0
745,0,0,0,1.127990," ","integrate(x^(3/2)*(b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{n} x^{\frac{3}{2}}, x\right)"," ",0,"integral((b*x + a)^n*x^(3/2), x)","F",0
746,0,0,0,1.241842," ","integrate(x^(1/2)*(b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{n} \sqrt{x}, x\right)"," ",0,"integral((b*x + a)^n*sqrt(x), x)","F",0
747,0,0,0,0.805609," ","integrate((b*x+a)^n/x^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{n}}{\sqrt{x}}, x\right)"," ",0,"integral((b*x + a)^n/sqrt(x), x)","F",0
748,0,0,0,1.289432," ","integrate((b*x+a)^n/x^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{n}}{x^{\frac{3}{2}}}, x\right)"," ",0,"integral((b*x + a)^n/x^(3/2), x)","F",0
749,0,0,0,0.903674," ","integrate((b*x+a)^n/x^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{n}}{x^{\frac{5}{2}}}, x\right)"," ",0,"integral((b*x + a)^n/x^(5/2), x)","F",0
750,0,0,0,1.071354," ","integrate((b*x)^m*(d*x+2)^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b x\right)^{m} {\left(d x + 2\right)}^{n}, x\right)"," ",0,"integral((b*x)^m*(d*x + 2)^n, x)","F",0
751,0,0,0,0.997996," ","integrate((b*x)^m*(-b*c*x+c)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(-b c x + c\right)}^{n} \left(b x\right)^{m}, x\right)"," ",0,"integral((-b*c*x + c)^n*(b*x)^m, x)","F",0
752,0,0,0,1.026248," ","integrate((b*x)^m*(d*x+c)^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b x\right)^{m} {\left(d x + c\right)}^{n}, x\right)"," ",0,"integral((b*x)^m*(d*x + c)^n, x)","F",0
753,1,32,0,0.952000," ","integrate(x^(-1+n)*(b*x+a)^(-1-n),x, algorithm=""fricas"")","\frac{{\left(b x^{2} + a x\right)} {\left(b x + a\right)}^{-n - 1} x^{n - 1}}{a n}"," ",0,"(b*x^2 + a*x)*(b*x + a)^(-n - 1)*x^(n - 1)/(a*n)","A",0
754,1,64,0,1.147223," ","integrate(x^(-3-n)*(b*x+a)^n,x, algorithm=""fricas"")","-\frac{{\left(a b n x^{2} - b^{2} x^{3} + {\left(a^{2} n + a^{2}\right)} x\right)} {\left(b x + a\right)}^{n} x^{-n - 3}}{a^{2} n^{2} + 3 \, a^{2} n + 2 \, a^{2}}"," ",0,"-(a*b*n*x^2 - b^2*x^3 + (a^2*n + a^2)*x)*(b*x + a)^n*x^(-n - 3)/(a^2*n^2 + 3*a^2*n + 2*a^2)","A",0
755,1,64,0,1.020818," ","integrate(x^(-3-n)*(b*x+a)^n,x, algorithm=""fricas"")","-\frac{{\left(a b n x^{2} - b^{2} x^{3} + {\left(a^{2} n + a^{2}\right)} x\right)} {\left(b x + a\right)}^{n} x^{-n - 3}}{a^{2} n^{2} + 3 \, a^{2} n + 2 \, a^{2}}"," ",0,"-(a*b*n*x^2 - b^2*x^3 + (a^2*n + a^2)*x)*(b*x + a)^n*x^(-n - 3)/(a^2*n^2 + 3*a^2*n + 2*a^2)","A",0
756,1,22,0,0.718183," ","integrate(x^3*(b*x+a)*(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{30} \, {\left(5 \, b x^{5} + 6 \, a x^{4}\right)} \sqrt{c x^{2}}"," ",0,"1/30*(5*b*x^5 + 6*a*x^4)*sqrt(c*x^2)","A",0
757,1,22,0,0.969507," ","integrate(x^2*(b*x+a)*(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{20} \, {\left(4 \, b x^{4} + 5 \, a x^{3}\right)} \sqrt{c x^{2}}"," ",0,"1/20*(4*b*x^4 + 5*a*x^3)*sqrt(c*x^2)","A",0
758,1,22,0,0.972172," ","integrate(x*(b*x+a)*(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(3 \, b x^{3} + 4 \, a x^{2}\right)} \sqrt{c x^{2}}"," ",0,"1/12*(3*b*x^3 + 4*a*x^2)*sqrt(c*x^2)","A",0
759,1,20,0,0.946515," ","integrate((b*x+a)*(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(2 \, b x^{2} + 3 \, a x\right)} \sqrt{c x^{2}}"," ",0,"1/6*(2*b*x^2 + 3*a*x)*sqrt(c*x^2)","A",0
760,1,16,0,0.920061," ","integrate((b*x+a)*(c*x^2)^(1/2)/x,x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{c x^{2}} {\left(b x + 2 \, a\right)}"," ",0,"1/2*sqrt(c*x^2)*(b*x + 2*a)","A",0
761,1,19,0,1.272387," ","integrate((b*x+a)*(c*x^2)^(1/2)/x^2,x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x + a \log\left(x\right)\right)}}{x}"," ",0,"sqrt(c*x^2)*(b*x + a*log(x))/x","A",0
762,1,20,0,1.226546," ","integrate((b*x+a)*(c*x^2)^(1/2)/x^3,x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x \log\left(x\right) - a\right)}}{x^{2}}"," ",0,"sqrt(c*x^2)*(b*x*log(x) - a)/x^2","A",0
763,1,18,0,1.063206," ","integrate((b*x+a)*(c*x^2)^(1/2)/x^4,x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(2 \, b x + a\right)}}{2 \, x^{3}}"," ",0,"-1/2*sqrt(c*x^2)*(2*b*x + a)/x^3","A",0
764,1,24,0,0.907684," ","integrate(x^3*(c*x^2)^(3/2)*(b*x+a),x, algorithm=""fricas"")","\frac{1}{56} \, {\left(7 \, b c x^{7} + 8 \, a c x^{6}\right)} \sqrt{c x^{2}}"," ",0,"1/56*(7*b*c*x^7 + 8*a*c*x^6)*sqrt(c*x^2)","A",0
765,1,24,0,1.084942," ","integrate(x^2*(c*x^2)^(3/2)*(b*x+a),x, algorithm=""fricas"")","\frac{1}{42} \, {\left(6 \, b c x^{6} + 7 \, a c x^{5}\right)} \sqrt{c x^{2}}"," ",0,"1/42*(6*b*c*x^6 + 7*a*c*x^5)*sqrt(c*x^2)","A",0
766,1,24,0,0.856310," ","integrate(x*(c*x^2)^(3/2)*(b*x+a),x, algorithm=""fricas"")","\frac{1}{30} \, {\left(5 \, b c x^{5} + 6 \, a c x^{4}\right)} \sqrt{c x^{2}}"," ",0,"1/30*(5*b*c*x^5 + 6*a*c*x^4)*sqrt(c*x^2)","A",0
767,1,24,0,0.825554," ","integrate((c*x^2)^(3/2)*(b*x+a),x, algorithm=""fricas"")","\frac{1}{20} \, {\left(4 \, b c x^{4} + 5 \, a c x^{3}\right)} \sqrt{c x^{2}}"," ",0,"1/20*(4*b*c*x^4 + 5*a*c*x^3)*sqrt(c*x^2)","A",0
768,1,24,0,1.087352," ","integrate((c*x^2)^(3/2)*(b*x+a)/x,x, algorithm=""fricas"")","\frac{1}{12} \, {\left(3 \, b c x^{3} + 4 \, a c x^{2}\right)} \sqrt{c x^{2}}"," ",0,"1/12*(3*b*c*x^3 + 4*a*c*x^2)*sqrt(c*x^2)","A",0
769,1,22,0,1.010019," ","integrate((c*x^2)^(3/2)*(b*x+a)/x^2,x, algorithm=""fricas"")","\frac{1}{6} \, {\left(2 \, b c x^{2} + 3 \, a c x\right)} \sqrt{c x^{2}}"," ",0,"1/6*(2*b*c*x^2 + 3*a*c*x)*sqrt(c*x^2)","A",0
770,1,18,0,1.042022," ","integrate((c*x^2)^(3/2)*(b*x+a)/x^3,x, algorithm=""fricas"")","\frac{1}{2} \, {\left(b c x + 2 \, a c\right)} \sqrt{c x^{2}}"," ",0,"1/2*(b*c*x + 2*a*c)*sqrt(c*x^2)","A",0
771,1,21,0,0.879336," ","integrate((c*x^2)^(3/2)*(b*x+a)/x^4,x, algorithm=""fricas"")","\frac{{\left(b c x + a c \log\left(x\right)\right)} \sqrt{c x^{2}}}{x}"," ",0,"(b*c*x + a*c*log(x))*sqrt(c*x^2)/x","A",0
772,1,28,0,1.218366," ","integrate(x^3*(c*x^2)^(5/2)*(b*x+a),x, algorithm=""fricas"")","\frac{1}{90} \, {\left(9 \, b c^{2} x^{9} + 10 \, a c^{2} x^{8}\right)} \sqrt{c x^{2}}"," ",0,"1/90*(9*b*c^2*x^9 + 10*a*c^2*x^8)*sqrt(c*x^2)","A",0
773,1,28,0,0.593966," ","integrate(x^2*(c*x^2)^(5/2)*(b*x+a),x, algorithm=""fricas"")","\frac{1}{72} \, {\left(8 \, b c^{2} x^{8} + 9 \, a c^{2} x^{7}\right)} \sqrt{c x^{2}}"," ",0,"1/72*(8*b*c^2*x^8 + 9*a*c^2*x^7)*sqrt(c*x^2)","A",0
774,1,28,0,0.980676," ","integrate(x*(c*x^2)^(5/2)*(b*x+a),x, algorithm=""fricas"")","\frac{1}{56} \, {\left(7 \, b c^{2} x^{7} + 8 \, a c^{2} x^{6}\right)} \sqrt{c x^{2}}"," ",0,"1/56*(7*b*c^2*x^7 + 8*a*c^2*x^6)*sqrt(c*x^2)","A",0
775,1,28,0,0.987256," ","integrate((c*x^2)^(5/2)*(b*x+a),x, algorithm=""fricas"")","\frac{1}{42} \, {\left(6 \, b c^{2} x^{6} + 7 \, a c^{2} x^{5}\right)} \sqrt{c x^{2}}"," ",0,"1/42*(6*b*c^2*x^6 + 7*a*c^2*x^5)*sqrt(c*x^2)","A",0
776,1,28,0,1.211678," ","integrate((c*x^2)^(5/2)*(b*x+a)/x,x, algorithm=""fricas"")","\frac{1}{30} \, {\left(5 \, b c^{2} x^{5} + 6 \, a c^{2} x^{4}\right)} \sqrt{c x^{2}}"," ",0,"1/30*(5*b*c^2*x^5 + 6*a*c^2*x^4)*sqrt(c*x^2)","A",0
777,1,28,0,0.790902," ","integrate((c*x^2)^(5/2)*(b*x+a)/x^2,x, algorithm=""fricas"")","\frac{1}{20} \, {\left(4 \, b c^{2} x^{4} + 5 \, a c^{2} x^{3}\right)} \sqrt{c x^{2}}"," ",0,"1/20*(4*b*c^2*x^4 + 5*a*c^2*x^3)*sqrt(c*x^2)","A",0
778,1,28,0,1.075918," ","integrate((c*x^2)^(5/2)*(b*x+a)/x^3,x, algorithm=""fricas"")","\frac{1}{12} \, {\left(3 \, b c^{2} x^{3} + 4 \, a c^{2} x^{2}\right)} \sqrt{c x^{2}}"," ",0,"1/12*(3*b*c^2*x^3 + 4*a*c^2*x^2)*sqrt(c*x^2)","A",0
779,1,26,0,0.773665," ","integrate((c*x^2)^(5/2)*(b*x+a)/x^4,x, algorithm=""fricas"")","\frac{1}{6} \, {\left(2 \, b c^{2} x^{2} + 3 \, a c^{2} x\right)} \sqrt{c x^{2}}"," ",0,"1/6*(2*b*c^2*x^2 + 3*a*c^2*x)*sqrt(c*x^2)","A",0
780,1,25,0,1.263382," ","integrate(x^3*(b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(3 \, b x^{3} + 4 \, a x^{2}\right)} \sqrt{c x^{2}}}{12 \, c}"," ",0,"1/12*(3*b*x^3 + 4*a*x^2)*sqrt(c*x^2)/c","A",0
781,1,23,0,1.016838," ","integrate(x^2*(b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b x^{2} + 3 \, a x\right)} \sqrt{c x^{2}}}{6 \, c}"," ",0,"1/6*(2*b*x^2 + 3*a*x)*sqrt(c*x^2)/c","A",0
782,1,19,0,1.179786," ","integrate(x*(b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x + 2 \, a\right)}}{2 \, c}"," ",0,"1/2*sqrt(c*x^2)*(b*x + 2*a)/c","A",0
783,1,22,0,1.016628," ","integrate((b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x + a \log\left(x\right)\right)}}{c x}"," ",0,"sqrt(c*x^2)*(b*x + a*log(x))/(c*x)","A",0
784,1,23,0,1.006428," ","integrate((b*x+a)/x/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x \log\left(x\right) - a\right)}}{c x^{2}}"," ",0,"sqrt(c*x^2)*(b*x*log(x) - a)/(c*x^2)","A",0
785,1,21,0,1.028415," ","integrate((b*x+a)/x^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(2 \, b x + a\right)}}{2 \, c x^{3}}"," ",0,"-1/2*sqrt(c*x^2)*(2*b*x + a)/(c*x^3)","A",0
786,1,23,0,0.899235," ","integrate((b*x+a)/x^3/(c*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(3 \, b x + 2 \, a\right)}}{6 \, c x^{4}}"," ",0,"-1/6*sqrt(c*x^2)*(3*b*x + 2*a)/(c*x^4)","A",0
787,1,23,0,1.099430," ","integrate((b*x+a)/x^4/(c*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(4 \, b x + 3 \, a\right)}}{12 \, c x^{5}}"," ",0,"-1/12*sqrt(c*x^2)*(4*b*x + 3*a)/(c*x^5)","A",0
788,1,19,0,1.045352," ","integrate(x^3*(b*x+a)/(c*x^2)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x + 2 \, a\right)}}{2 \, c^{2}}"," ",0,"1/2*sqrt(c*x^2)*(b*x + 2*a)/c^2","A",0
789,1,22,0,1.111592," ","integrate(x^2*(b*x+a)/(c*x^2)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x + a \log\left(x\right)\right)}}{c^{2} x}"," ",0,"sqrt(c*x^2)*(b*x + a*log(x))/(c^2*x)","A",0
790,1,23,0,1.070157," ","integrate(x*(b*x+a)/(c*x^2)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x \log\left(x\right) - a\right)}}{c^{2} x^{2}}"," ",0,"sqrt(c*x^2)*(b*x*log(x) - a)/(c^2*x^2)","A",0
791,1,21,0,0.705345," ","integrate((b*x+a)/(c*x^2)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(2 \, b x + a\right)}}{2 \, c^{2} x^{3}}"," ",0,"-1/2*sqrt(c*x^2)*(2*b*x + a)/(c^2*x^3)","A",0
792,1,23,0,1.761241," ","integrate((b*x+a)/x/(c*x^2)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(3 \, b x + 2 \, a\right)}}{6 \, c^{2} x^{4}}"," ",0,"-1/6*sqrt(c*x^2)*(3*b*x + 2*a)/(c^2*x^4)","A",0
793,1,23,0,1.071021," ","integrate((b*x+a)/x^2/(c*x^2)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(4 \, b x + 3 \, a\right)}}{12 \, c^{2} x^{5}}"," ",0,"-1/12*sqrt(c*x^2)*(4*b*x + 3*a)/(c^2*x^5)","A",0
794,1,23,0,0.958014," ","integrate((b*x+a)/x^3/(c*x^2)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(5 \, b x + 4 \, a\right)}}{20 \, c^{2} x^{6}}"," ",0,"-1/20*sqrt(c*x^2)*(5*b*x + 4*a)/(c^2*x^6)","A",0
795,1,23,0,1.275652," ","integrate((b*x+a)/x^4/(c*x^2)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(6 \, b x + 5 \, a\right)}}{30 \, c^{2} x^{7}}"," ",0,"-1/30*sqrt(c*x^2)*(6*b*x + 5*a)/(c^2*x^7)","A",0
796,1,23,0,0.788622," ","integrate(x^3*(b*x+a)/(c*x^2)^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x \log\left(x\right) - a\right)}}{c^{3} x^{2}}"," ",0,"sqrt(c*x^2)*(b*x*log(x) - a)/(c^3*x^2)","A",0
797,1,21,0,1.050117," ","integrate(x^2*(b*x+a)/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(2 \, b x + a\right)}}{2 \, c^{3} x^{3}}"," ",0,"-1/2*sqrt(c*x^2)*(2*b*x + a)/(c^3*x^3)","A",0
798,1,23,0,1.092503," ","integrate(x*(b*x+a)/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(3 \, b x + 2 \, a\right)}}{6 \, c^{3} x^{4}}"," ",0,"-1/6*sqrt(c*x^2)*(3*b*x + 2*a)/(c^3*x^4)","A",0
799,1,23,0,0.998610," ","integrate((b*x+a)/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(4 \, b x + 3 \, a\right)}}{12 \, c^{3} x^{5}}"," ",0,"-1/12*sqrt(c*x^2)*(4*b*x + 3*a)/(c^3*x^5)","A",0
800,1,23,0,0.743217," ","integrate((b*x+a)/x/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(5 \, b x + 4 \, a\right)}}{20 \, c^{3} x^{6}}"," ",0,"-1/20*sqrt(c*x^2)*(5*b*x + 4*a)/(c^3*x^6)","A",0
801,1,23,0,1.029964," ","integrate((b*x+a)/x^2/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(6 \, b x + 5 \, a\right)}}{30 \, c^{3} x^{7}}"," ",0,"-1/30*sqrt(c*x^2)*(6*b*x + 5*a)/(c^3*x^7)","A",0
802,1,23,0,1.097844," ","integrate((b*x+a)/x^3/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(7 \, b x + 6 \, a\right)}}{42 \, c^{3} x^{8}}"," ",0,"-1/42*sqrt(c*x^2)*(7*b*x + 6*a)/(c^3*x^8)","A",0
803,1,23,0,0.827000," ","integrate((b*x+a)/x^4/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} {\left(8 \, b x + 7 \, a\right)}}{56 \, c^{3} x^{9}}"," ",0,"-1/56*sqrt(c*x^2)*(8*b*x + 7*a)/(c^3*x^9)","A",0
804,1,33,0,0.859873," ","integrate(x^3*(b*x+a)^2*(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{105} \, {\left(15 \, b^{2} x^{6} + 35 \, a b x^{5} + 21 \, a^{2} x^{4}\right)} \sqrt{c x^{2}}"," ",0,"1/105*(15*b^2*x^6 + 35*a*b*x^5 + 21*a^2*x^4)*sqrt(c*x^2)","A",0
805,1,33,0,0.751732," ","integrate(x^2*(b*x+a)^2*(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{60} \, {\left(10 \, b^{2} x^{5} + 24 \, a b x^{4} + 15 \, a^{2} x^{3}\right)} \sqrt{c x^{2}}"," ",0,"1/60*(10*b^2*x^5 + 24*a*b*x^4 + 15*a^2*x^3)*sqrt(c*x^2)","A",0
806,1,33,0,1.105292," ","integrate(x*(b*x+a)^2*(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{30} \, {\left(6 \, b^{2} x^{4} + 15 \, a b x^{3} + 10 \, a^{2} x^{2}\right)} \sqrt{c x^{2}}"," ",0,"1/30*(6*b^2*x^4 + 15*a*b*x^3 + 10*a^2*x^2)*sqrt(c*x^2)","A",0
807,1,31,0,1.117387," ","integrate((b*x+a)^2*(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(3 \, b^{2} x^{3} + 8 \, a b x^{2} + 6 \, a^{2} x\right)} \sqrt{c x^{2}}"," ",0,"1/12*(3*b^2*x^3 + 8*a*b*x^2 + 6*a^2*x)*sqrt(c*x^2)","A",0
808,1,27,0,1.078301," ","integrate((b*x+a)^2*(c*x^2)^(1/2)/x,x, algorithm=""fricas"")","\frac{1}{3} \, {\left(b^{2} x^{2} + 3 \, a b x + 3 \, a^{2}\right)} \sqrt{c x^{2}}"," ",0,"1/3*(b^2*x^2 + 3*a*b*x + 3*a^2)*sqrt(c*x^2)","A",0
809,1,32,0,0.762290," ","integrate((b*x+a)^2*(c*x^2)^(1/2)/x^2,x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + 4 \, a b x + 2 \, a^{2} \log\left(x\right)\right)} \sqrt{c x^{2}}}{2 \, x}"," ",0,"1/2*(b^2*x^2 + 4*a*b*x + 2*a^2*log(x))*sqrt(c*x^2)/x","A",0
810,1,31,0,1.212398," ","integrate((b*x+a)^2*(c*x^2)^(1/2)/x^3,x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x \log\left(x\right) - a^{2}\right)} \sqrt{c x^{2}}}{x^{2}}"," ",0,"(b^2*x^2 + 2*a*b*x*log(x) - a^2)*sqrt(c*x^2)/x^2","A",0
811,1,33,0,1.355927," ","integrate((b*x+a)^2*(c*x^2)^(1/2)/x^4,x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} x^{2} \log\left(x\right) - 4 \, a b x - a^{2}\right)} \sqrt{c x^{2}}}{2 \, x^{3}}"," ",0,"1/2*(2*b^2*x^2*log(x) - 4*a*b*x - a^2)*sqrt(c*x^2)/x^3","A",0
812,1,36,0,0.843166," ","integrate(x^3*(c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{1}{252} \, {\left(28 \, b^{2} c x^{8} + 63 \, a b c x^{7} + 36 \, a^{2} c x^{6}\right)} \sqrt{c x^{2}}"," ",0,"1/252*(28*b^2*c*x^8 + 63*a*b*c*x^7 + 36*a^2*c*x^6)*sqrt(c*x^2)","A",0
813,1,36,0,1.139979," ","integrate(x^2*(c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{1}{168} \, {\left(21 \, b^{2} c x^{7} + 48 \, a b c x^{6} + 28 \, a^{2} c x^{5}\right)} \sqrt{c x^{2}}"," ",0,"1/168*(21*b^2*c*x^7 + 48*a*b*c*x^6 + 28*a^2*c*x^5)*sqrt(c*x^2)","A",0
814,1,36,0,1.207567," ","integrate(x*(c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{1}{105} \, {\left(15 \, b^{2} c x^{6} + 35 \, a b c x^{5} + 21 \, a^{2} c x^{4}\right)} \sqrt{c x^{2}}"," ",0,"1/105*(15*b^2*c*x^6 + 35*a*b*c*x^5 + 21*a^2*c*x^4)*sqrt(c*x^2)","A",0
815,1,36,0,0.933660," ","integrate((c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{1}{60} \, {\left(10 \, b^{2} c x^{5} + 24 \, a b c x^{4} + 15 \, a^{2} c x^{3}\right)} \sqrt{c x^{2}}"," ",0,"1/60*(10*b^2*c*x^5 + 24*a*b*c*x^4 + 15*a^2*c*x^3)*sqrt(c*x^2)","A",0
816,1,36,0,1.068723," ","integrate((c*x^2)^(3/2)*(b*x+a)^2/x,x, algorithm=""fricas"")","\frac{1}{30} \, {\left(6 \, b^{2} c x^{4} + 15 \, a b c x^{3} + 10 \, a^{2} c x^{2}\right)} \sqrt{c x^{2}}"," ",0,"1/30*(6*b^2*c*x^4 + 15*a*b*c*x^3 + 10*a^2*c*x^2)*sqrt(c*x^2)","A",0
817,1,34,0,1.064288," ","integrate((c*x^2)^(3/2)*(b*x+a)^2/x^2,x, algorithm=""fricas"")","\frac{1}{12} \, {\left(3 \, b^{2} c x^{3} + 8 \, a b c x^{2} + 6 \, a^{2} c x\right)} \sqrt{c x^{2}}"," ",0,"1/12*(3*b^2*c*x^3 + 8*a*b*c*x^2 + 6*a^2*c*x)*sqrt(c*x^2)","A",0
818,1,30,0,1.061370," ","integrate((c*x^2)^(3/2)*(b*x+a)^2/x^3,x, algorithm=""fricas"")","\frac{1}{3} \, {\left(b^{2} c x^{2} + 3 \, a b c x + 3 \, a^{2} c\right)} \sqrt{c x^{2}}"," ",0,"1/3*(b^2*c*x^2 + 3*a*b*c*x + 3*a^2*c)*sqrt(c*x^2)","A",0
819,1,35,0,1.133316," ","integrate((c*x^2)^(3/2)*(b*x+a)^2/x^4,x, algorithm=""fricas"")","\frac{{\left(b^{2} c x^{2} + 4 \, a b c x + 2 \, a^{2} c \log\left(x\right)\right)} \sqrt{c x^{2}}}{2 \, x}"," ",0,"1/2*(b^2*c*x^2 + 4*a*b*c*x + 2*a^2*c*log(x))*sqrt(c*x^2)/x","A",0
820,1,42,0,0.943300," ","integrate(x*(c*x^2)^(5/2)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{1}{252} \, {\left(28 \, b^{2} c^{2} x^{8} + 63 \, a b c^{2} x^{7} + 36 \, a^{2} c^{2} x^{6}\right)} \sqrt{c x^{2}}"," ",0,"1/252*(28*b^2*c^2*x^8 + 63*a*b*c^2*x^7 + 36*a^2*c^2*x^6)*sqrt(c*x^2)","A",0
821,1,42,0,1.015603," ","integrate((c*x^2)^(5/2)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{1}{168} \, {\left(21 \, b^{2} c^{2} x^{7} + 48 \, a b c^{2} x^{6} + 28 \, a^{2} c^{2} x^{5}\right)} \sqrt{c x^{2}}"," ",0,"1/168*(21*b^2*c^2*x^7 + 48*a*b*c^2*x^6 + 28*a^2*c^2*x^5)*sqrt(c*x^2)","A",0
822,1,42,0,0.820399," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x,x, algorithm=""fricas"")","\frac{1}{105} \, {\left(15 \, b^{2} c^{2} x^{6} + 35 \, a b c^{2} x^{5} + 21 \, a^{2} c^{2} x^{4}\right)} \sqrt{c x^{2}}"," ",0,"1/105*(15*b^2*c^2*x^6 + 35*a*b*c^2*x^5 + 21*a^2*c^2*x^4)*sqrt(c*x^2)","A",0
823,1,42,0,1.109768," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^2,x, algorithm=""fricas"")","\frac{1}{60} \, {\left(10 \, b^{2} c^{2} x^{5} + 24 \, a b c^{2} x^{4} + 15 \, a^{2} c^{2} x^{3}\right)} \sqrt{c x^{2}}"," ",0,"1/60*(10*b^2*c^2*x^5 + 24*a*b*c^2*x^4 + 15*a^2*c^2*x^3)*sqrt(c*x^2)","A",0
824,1,42,0,1.190942," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^3,x, algorithm=""fricas"")","\frac{1}{30} \, {\left(6 \, b^{2} c^{2} x^{4} + 15 \, a b c^{2} x^{3} + 10 \, a^{2} c^{2} x^{2}\right)} \sqrt{c x^{2}}"," ",0,"1/30*(6*b^2*c^2*x^4 + 15*a*b*c^2*x^3 + 10*a^2*c^2*x^2)*sqrt(c*x^2)","A",0
825,1,40,0,1.183200," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^4,x, algorithm=""fricas"")","\frac{1}{12} \, {\left(3 \, b^{2} c^{2} x^{3} + 8 \, a b c^{2} x^{2} + 6 \, a^{2} c^{2} x\right)} \sqrt{c x^{2}}"," ",0,"1/12*(3*b^2*c^2*x^3 + 8*a*b*c^2*x^2 + 6*a^2*c^2*x)*sqrt(c*x^2)","A",0
826,1,36,0,0.974485," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^5,x, algorithm=""fricas"")","\frac{1}{3} \, {\left(b^{2} c^{2} x^{2} + 3 \, a b c^{2} x + 3 \, a^{2} c^{2}\right)} \sqrt{c x^{2}}"," ",0,"1/3*(b^2*c^2*x^2 + 3*a*b*c^2*x + 3*a^2*c^2)*sqrt(c*x^2)","A",0
827,1,41,0,1.088197," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^6,x, algorithm=""fricas"")","\frac{{\left(b^{2} c^{2} x^{2} + 4 \, a b c^{2} x + 2 \, a^{2} c^{2} \log\left(x\right)\right)} \sqrt{c x^{2}}}{2 \, x}"," ",0,"1/2*(b^2*c^2*x^2 + 4*a*b*c^2*x + 2*a^2*c^2*log(x))*sqrt(c*x^2)/x","A",0
828,1,36,0,1.239640," ","integrate(x^3*(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(6 \, b^{2} x^{4} + 15 \, a b x^{3} + 10 \, a^{2} x^{2}\right)} \sqrt{c x^{2}}}{30 \, c}"," ",0,"1/30*(6*b^2*x^4 + 15*a*b*x^3 + 10*a^2*x^2)*sqrt(c*x^2)/c","A",0
829,1,34,0,1.068223," ","integrate(x^2*(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(3 \, b^{2} x^{3} + 8 \, a b x^{2} + 6 \, a^{2} x\right)} \sqrt{c x^{2}}}{12 \, c}"," ",0,"1/12*(3*b^2*x^3 + 8*a*b*x^2 + 6*a^2*x)*sqrt(c*x^2)/c","A",0
830,1,30,0,1.156684," ","integrate(x*(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + 3 \, a b x + 3 \, a^{2}\right)} \sqrt{c x^{2}}}{3 \, c}"," ",0,"1/3*(b^2*x^2 + 3*a*b*x + 3*a^2)*sqrt(c*x^2)/c","A",0
831,1,35,0,0.990879," ","integrate((b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + 4 \, a b x + 2 \, a^{2} \log\left(x\right)\right)} \sqrt{c x^{2}}}{2 \, c x}"," ",0,"1/2*(b^2*x^2 + 4*a*b*x + 2*a^2*log(x))*sqrt(c*x^2)/(c*x)","A",0
832,1,34,0,1.032103," ","integrate((b*x+a)^2/x/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x \log\left(x\right) - a^{2}\right)} \sqrt{c x^{2}}}{c x^{2}}"," ",0,"(b^2*x^2 + 2*a*b*x*log(x) - a^2)*sqrt(c*x^2)/(c*x^2)","A",0
833,1,36,0,1.090642," ","integrate((b*x+a)^2/x^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} x^{2} \log\left(x\right) - 4 \, a b x - a^{2}\right)} \sqrt{c x^{2}}}{2 \, c x^{3}}"," ",0,"1/2*(2*b^2*x^2*log(x) - 4*a*b*x - a^2)*sqrt(c*x^2)/(c*x^3)","A",0
834,1,32,0,1.067269," ","integrate((b*x+a)^2/x^3/(c*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(3 \, b^{2} x^{2} + 3 \, a b x + a^{2}\right)} \sqrt{c x^{2}}}{3 \, c x^{4}}"," ",0,"-1/3*(3*b^2*x^2 + 3*a*b*x + a^2)*sqrt(c*x^2)/(c*x^4)","A",0
835,1,34,0,1.254566," ","integrate((b*x+a)^2/x^4/(c*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(6 \, b^{2} x^{2} + 8 \, a b x + 3 \, a^{2}\right)} \sqrt{c x^{2}}}{12 \, c x^{5}}"," ",0,"-1/12*(6*b^2*x^2 + 8*a*b*x + 3*a^2)*sqrt(c*x^2)/(c*x^5)","A",0
836,1,30,0,1.063529," ","integrate(x^3*(b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + 3 \, a b x + 3 \, a^{2}\right)} \sqrt{c x^{2}}}{3 \, c^{2}}"," ",0,"1/3*(b^2*x^2 + 3*a*b*x + 3*a^2)*sqrt(c*x^2)/c^2","A",0
837,1,35,0,1.177764," ","integrate(x^2*(b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + 4 \, a b x + 2 \, a^{2} \log\left(x\right)\right)} \sqrt{c x^{2}}}{2 \, c^{2} x}"," ",0,"1/2*(b^2*x^2 + 4*a*b*x + 2*a^2*log(x))*sqrt(c*x^2)/(c^2*x)","A",0
838,1,34,0,1.197740," ","integrate(x*(b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x \log\left(x\right) - a^{2}\right)} \sqrt{c x^{2}}}{c^{2} x^{2}}"," ",0,"(b^2*x^2 + 2*a*b*x*log(x) - a^2)*sqrt(c*x^2)/(c^2*x^2)","A",0
839,1,36,0,1.040316," ","integrate((b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} x^{2} \log\left(x\right) - 4 \, a b x - a^{2}\right)} \sqrt{c x^{2}}}{2 \, c^{2} x^{3}}"," ",0,"1/2*(2*b^2*x^2*log(x) - 4*a*b*x - a^2)*sqrt(c*x^2)/(c^2*x^3)","A",0
840,1,32,0,0.804260," ","integrate((b*x+a)^2/x/(c*x^2)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(3 \, b^{2} x^{2} + 3 \, a b x + a^{2}\right)} \sqrt{c x^{2}}}{3 \, c^{2} x^{4}}"," ",0,"-1/3*(3*b^2*x^2 + 3*a*b*x + a^2)*sqrt(c*x^2)/(c^2*x^4)","A",0
841,1,34,0,0.988563," ","integrate((b*x+a)^2/x^2/(c*x^2)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(6 \, b^{2} x^{2} + 8 \, a b x + 3 \, a^{2}\right)} \sqrt{c x^{2}}}{12 \, c^{2} x^{5}}"," ",0,"-1/12*(6*b^2*x^2 + 8*a*b*x + 3*a^2)*sqrt(c*x^2)/(c^2*x^5)","A",0
842,1,34,0,1.283694," ","integrate((b*x+a)^2/x^3/(c*x^2)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(10 \, b^{2} x^{2} + 15 \, a b x + 6 \, a^{2}\right)} \sqrt{c x^{2}}}{30 \, c^{2} x^{6}}"," ",0,"-1/30*(10*b^2*x^2 + 15*a*b*x + 6*a^2)*sqrt(c*x^2)/(c^2*x^6)","A",0
843,1,34,0,1.146310," ","integrate((b*x+a)^2/x^4/(c*x^2)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(15 \, b^{2} x^{2} + 24 \, a b x + 10 \, a^{2}\right)} \sqrt{c x^{2}}}{60 \, c^{2} x^{7}}"," ",0,"-1/60*(15*b^2*x^2 + 24*a*b*x + 10*a^2)*sqrt(c*x^2)/(c^2*x^7)","A",0
844,1,34,0,0.967830," ","integrate(x^3*(b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + 2 \, a b x \log\left(x\right) - a^{2}\right)} \sqrt{c x^{2}}}{c^{3} x^{2}}"," ",0,"(b^2*x^2 + 2*a*b*x*log(x) - a^2)*sqrt(c*x^2)/(c^3*x^2)","A",0
845,1,36,0,0.842372," ","integrate(x^2*(b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} x^{2} \log\left(x\right) - 4 \, a b x - a^{2}\right)} \sqrt{c x^{2}}}{2 \, c^{3} x^{3}}"," ",0,"1/2*(2*b^2*x^2*log(x) - 4*a*b*x - a^2)*sqrt(c*x^2)/(c^3*x^3)","A",0
846,1,32,0,0.858755," ","integrate(x*(b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(3 \, b^{2} x^{2} + 3 \, a b x + a^{2}\right)} \sqrt{c x^{2}}}{3 \, c^{3} x^{4}}"," ",0,"-1/3*(3*b^2*x^2 + 3*a*b*x + a^2)*sqrt(c*x^2)/(c^3*x^4)","A",0
847,1,34,0,0.829807," ","integrate((b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(6 \, b^{2} x^{2} + 8 \, a b x + 3 \, a^{2}\right)} \sqrt{c x^{2}}}{12 \, c^{3} x^{5}}"," ",0,"-1/12*(6*b^2*x^2 + 8*a*b*x + 3*a^2)*sqrt(c*x^2)/(c^3*x^5)","A",0
848,1,34,0,1.488568," ","integrate((b*x+a)^2/x/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(10 \, b^{2} x^{2} + 15 \, a b x + 6 \, a^{2}\right)} \sqrt{c x^{2}}}{30 \, c^{3} x^{6}}"," ",0,"-1/30*(10*b^2*x^2 + 15*a*b*x + 6*a^2)*sqrt(c*x^2)/(c^3*x^6)","A",0
849,1,34,0,0.772774," ","integrate((b*x+a)^2/x^2/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(15 \, b^{2} x^{2} + 24 \, a b x + 10 \, a^{2}\right)} \sqrt{c x^{2}}}{60 \, c^{3} x^{7}}"," ",0,"-1/60*(15*b^2*x^2 + 24*a*b*x + 10*a^2)*sqrt(c*x^2)/(c^3*x^7)","A",0
850,1,34,0,0.739321," ","integrate((b*x+a)^2/x^3/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(21 \, b^{2} x^{2} + 35 \, a b x + 15 \, a^{2}\right)} \sqrt{c x^{2}}}{105 \, c^{3} x^{8}}"," ",0,"-1/105*(21*b^2*x^2 + 35*a*b*x + 15*a^2)*sqrt(c*x^2)/(c^3*x^8)","A",0
851,1,34,0,1.201133," ","integrate((b*x+a)^2/x^4/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(28 \, b^{2} x^{2} + 48 \, a b x + 21 \, a^{2}\right)} \sqrt{c x^{2}}}{168 \, c^{3} x^{9}}"," ",0,"-1/168*(28*b^2*x^2 + 48*a*b*x + 21*a^2)*sqrt(c*x^2)/(c^3*x^9)","A",0
852,1,62,0,0.967928," ","integrate(x^3*(c*x^2)^(1/2)/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(3 \, b^{4} x^{4} - 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} - 12 \, a^{3} b x + 12 \, a^{4} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{12 \, b^{5} x}"," ",0,"1/12*(3*b^4*x^4 - 4*a*b^3*x^3 + 6*a^2*b^2*x^2 - 12*a^3*b*x + 12*a^4*log(b*x + a))*sqrt(c*x^2)/(b^5*x)","A",0
853,1,51,0,1.073103," ","integrate(x^2*(c*x^2)^(1/2)/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{3} x^{3} - 3 \, a b^{2} x^{2} + 6 \, a^{2} b x - 6 \, a^{3} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{6 \, b^{4} x}"," ",0,"1/6*(2*b^3*x^3 - 3*a*b^2*x^2 + 6*a^2*b*x - 6*a^3*log(b*x + a))*sqrt(c*x^2)/(b^4*x)","A",0
854,1,39,0,1.189038," ","integrate(x*(c*x^2)^(1/2)/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} - 2 \, a b x + 2 \, a^{2} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{2 \, b^{3} x}"," ",0,"1/2*(b^2*x^2 - 2*a*b*x + 2*a^2*log(b*x + a))*sqrt(c*x^2)/(b^3*x)","A",0
855,1,27,0,1.040756," ","integrate((c*x^2)^(1/2)/(b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x - a \log\left(b x + a\right)\right)}}{b^{2} x}"," ",0,"sqrt(c*x^2)*(b*x - a*log(b*x + a))/(b^2*x)","A",0
856,1,20,0,1.171262," ","integrate((c*x^2)^(1/2)/x/(b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} \log\left(b x + a\right)}{b x}"," ",0,"sqrt(c*x^2)*log(b*x + a)/(b*x)","A",0
857,1,64,0,1.420490," ","integrate((c*x^2)^(1/2)/x^2/(b*x+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{c x^{2}} \log\left(\frac{x}{b x + a}\right)}{a x}, \frac{2 \, \sqrt{-c} \arctan\left(\frac{\sqrt{c x^{2}} {\left(2 \, b x + a\right)} \sqrt{-c}}{a c x}\right)}{a}\right]"," ",0,"[sqrt(c*x^2)*log(x/(b*x + a))/(a*x), 2*sqrt(-c)*arctan(sqrt(c*x^2)*(2*b*x + a)*sqrt(-c)/(a*c*x))/a]","A",0
858,1,31,0,0.768420," ","integrate((c*x^2)^(1/2)/x^3/(b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x \log\left(\frac{b x + a}{x}\right) - a\right)}}{a^{2} x^{2}}"," ",0,"sqrt(c*x^2)*(b*x*log((b*x + a)/x) - a)/(a^2*x^2)","A",0
859,1,44,0,1.153956," ","integrate((c*x^2)^(1/2)/x^4/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} x^{2} \log\left(\frac{x}{b x + a}\right) + 2 \, a b x - a^{2}\right)} \sqrt{c x^{2}}}{2 \, a^{3} x^{3}}"," ",0,"1/2*(2*b^2*x^2*log(x/(b*x + a)) + 2*a*b*x - a^2)*sqrt(c*x^2)/(a^3*x^3)","A",0
860,1,67,0,1.036863," ","integrate(x*(c*x^2)^(3/2)/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(3 \, b^{4} c x^{4} - 4 \, a b^{3} c x^{3} + 6 \, a^{2} b^{2} c x^{2} - 12 \, a^{3} b c x + 12 \, a^{4} c \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{12 \, b^{5} x}"," ",0,"1/12*(3*b^4*c*x^4 - 4*a*b^3*c*x^3 + 6*a^2*b^2*c*x^2 - 12*a^3*b*c*x + 12*a^4*c*log(b*x + a))*sqrt(c*x^2)/(b^5*x)","A",0
861,1,55,0,1.305098," ","integrate((c*x^2)^(3/2)/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{3} c x^{3} - 3 \, a b^{2} c x^{2} + 6 \, a^{2} b c x - 6 \, a^{3} c \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{6 \, b^{4} x}"," ",0,"1/6*(2*b^3*c*x^3 - 3*a*b^2*c*x^2 + 6*a^2*b*c*x - 6*a^3*c*log(b*x + a))*sqrt(c*x^2)/(b^4*x)","A",0
862,1,42,0,1.421163," ","integrate((c*x^2)^(3/2)/x/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b^{2} c x^{2} - 2 \, a b c x + 2 \, a^{2} c \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{2 \, b^{3} x}"," ",0,"1/2*(b^2*c*x^2 - 2*a*b*c*x + 2*a^2*c*log(b*x + a))*sqrt(c*x^2)/(b^3*x)","A",0
863,1,29,0,0.835092," ","integrate((c*x^2)^(3/2)/x^2/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b c x - a c \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{b^{2} x}"," ",0,"(b*c*x - a*c*log(b*x + a))*sqrt(c*x^2)/(b^2*x)","A",0
864,1,21,0,1.045059," ","integrate((c*x^2)^(3/2)/x^3/(b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} c \log\left(b x + a\right)}{b x}"," ",0,"sqrt(c*x^2)*c*log(b*x + a)/(b*x)","A",0
865,1,66,0,0.793360," ","integrate((c*x^2)^(3/2)/x^4/(b*x+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{c x^{2}} c \log\left(\frac{x}{b x + a}\right)}{a x}, \frac{2 \, \sqrt{-c} c \arctan\left(\frac{\sqrt{c x^{2}} {\left(2 \, b x + a\right)} \sqrt{-c}}{a c x}\right)}{a}\right]"," ",0,"[sqrt(c*x^2)*c*log(x/(b*x + a))/(a*x), 2*sqrt(-c)*c*arctan(sqrt(c*x^2)*(2*b*x + a)*sqrt(-c)/(a*c*x))/a]","A",0
866,1,33,0,1.104743," ","integrate((c*x^2)^(3/2)/x^5/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b c x \log\left(\frac{b x + a}{x}\right) - a c\right)} \sqrt{c x^{2}}}{a^{2} x^{2}}"," ",0,"(b*c*x*log((b*x + a)/x) - a*c)*sqrt(c*x^2)/(a^2*x^2)","A",0
867,1,47,0,0.912511," ","integrate((c*x^2)^(3/2)/x^6/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} c x^{2} \log\left(\frac{x}{b x + a}\right) + 2 \, a b c x - a^{2} c\right)} \sqrt{c x^{2}}}{2 \, a^{3} x^{3}}"," ",0,"1/2*(2*b^2*c*x^2*log(x/(b*x + a)) + 2*a*b*c*x - a^2*c)*sqrt(c*x^2)/(a^3*x^3)","A",0
868,1,59,0,1.008940," ","integrate((c*x^2)^(3/2)/x^7/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(6 \, b^{3} c x^{3} \log\left(\frac{b x + a}{x}\right) - 6 \, a b^{2} c x^{2} + 3 \, a^{2} b c x - 2 \, a^{3} c\right)} \sqrt{c x^{2}}}{6 \, a^{4} x^{4}}"," ",0,"1/6*(6*b^3*c*x^3*log((b*x + a)/x) - 6*a*b^2*c*x^2 + 3*a^2*b*c*x - 2*a^3*c)*sqrt(c*x^2)/(a^4*x^4)","A",0
869,1,91,0,1.343086," ","integrate((c*x^2)^(5/2)/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(12 \, b^{5} c^{2} x^{5} - 15 \, a b^{4} c^{2} x^{4} + 20 \, a^{2} b^{3} c^{2} x^{3} - 30 \, a^{3} b^{2} c^{2} x^{2} + 60 \, a^{4} b c^{2} x - 60 \, a^{5} c^{2} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{60 \, b^{6} x}"," ",0,"1/60*(12*b^5*c^2*x^5 - 15*a*b^4*c^2*x^4 + 20*a^2*b^3*c^2*x^3 - 30*a^3*b^2*c^2*x^2 + 60*a^4*b*c^2*x - 60*a^5*c^2*log(b*x + a))*sqrt(c*x^2)/(b^6*x)","A",0
870,1,77,0,1.190019," ","integrate((c*x^2)^(5/2)/x/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(3 \, b^{4} c^{2} x^{4} - 4 \, a b^{3} c^{2} x^{3} + 6 \, a^{2} b^{2} c^{2} x^{2} - 12 \, a^{3} b c^{2} x + 12 \, a^{4} c^{2} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{12 \, b^{5} x}"," ",0,"1/12*(3*b^4*c^2*x^4 - 4*a*b^3*c^2*x^3 + 6*a^2*b^2*c^2*x^2 - 12*a^3*b*c^2*x + 12*a^4*c^2*log(b*x + a))*sqrt(c*x^2)/(b^5*x)","A",0
871,1,63,0,0.868125," ","integrate((c*x^2)^(5/2)/x^2/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{3} c^{2} x^{3} - 3 \, a b^{2} c^{2} x^{2} + 6 \, a^{2} b c^{2} x - 6 \, a^{3} c^{2} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{6 \, b^{4} x}"," ",0,"1/6*(2*b^3*c^2*x^3 - 3*a*b^2*c^2*x^2 + 6*a^2*b*c^2*x - 6*a^3*c^2*log(b*x + a))*sqrt(c*x^2)/(b^4*x)","A",0
872,1,48,0,1.226951," ","integrate((c*x^2)^(5/2)/x^3/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b^{2} c^{2} x^{2} - 2 \, a b c^{2} x + 2 \, a^{2} c^{2} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{2 \, b^{3} x}"," ",0,"1/2*(b^2*c^2*x^2 - 2*a*b*c^2*x + 2*a^2*c^2*log(b*x + a))*sqrt(c*x^2)/(b^3*x)","A",0
873,1,33,0,0.676414," ","integrate((c*x^2)^(5/2)/x^4/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b c^{2} x - a c^{2} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{b^{2} x}"," ",0,"(b*c^2*x - a*c^2*log(b*x + a))*sqrt(c*x^2)/(b^2*x)","A",0
874,1,23,0,1.360414," ","integrate((c*x^2)^(5/2)/x^5/(b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} c^{2} \log\left(b x + a\right)}{b x}"," ",0,"sqrt(c*x^2)*c^2*log(b*x + a)/(b*x)","A",0
875,1,70,0,1.535733," ","integrate((c*x^2)^(5/2)/x^6/(b*x+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{c x^{2}} c^{2} \log\left(\frac{x}{b x + a}\right)}{a x}, \frac{2 \, \sqrt{-c} c^{2} \arctan\left(\frac{\sqrt{c x^{2}} {\left(2 \, b x + a\right)} \sqrt{-c}}{a c x}\right)}{a}\right]"," ",0,"[sqrt(c*x^2)*c^2*log(x/(b*x + a))/(a*x), 2*sqrt(-c)*c^2*arctan(sqrt(c*x^2)*(2*b*x + a)*sqrt(-c)/(a*c*x))/a]","A",0
876,1,37,0,0.935817," ","integrate((c*x^2)^(5/2)/x^7/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b c^{2} x \log\left(\frac{b x + a}{x}\right) - a c^{2}\right)} \sqrt{c x^{2}}}{a^{2} x^{2}}"," ",0,"(b*c^2*x*log((b*x + a)/x) - a*c^2)*sqrt(c*x^2)/(a^2*x^2)","A",0
877,1,54,0,1.394772," ","integrate(x^4/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{3} x^{3} - 3 \, a b^{2} x^{2} + 6 \, a^{2} b x - 6 \, a^{3} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{6 \, b^{4} c x}"," ",0,"1/6*(2*b^3*x^3 - 3*a*b^2*x^2 + 6*a^2*b*x - 6*a^3*log(b*x + a))*sqrt(c*x^2)/(b^4*c*x)","A",0
878,1,42,0,1.350535," ","integrate(x^3/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} - 2 \, a b x + 2 \, a^{2} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{2 \, b^{3} c x}"," ",0,"1/2*(b^2*x^2 - 2*a*b*x + 2*a^2*log(b*x + a))*sqrt(c*x^2)/(b^3*c*x)","A",0
879,1,30,0,0.946531," ","integrate(x^2/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x - a \log\left(b x + a\right)\right)}}{b^{2} c x}"," ",0,"sqrt(c*x^2)*(b*x - a*log(b*x + a))/(b^2*c*x)","A",0
880,1,23,0,0.630249," ","integrate(x/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} \log\left(b x + a\right)}{b c x}"," ",0,"sqrt(c*x^2)*log(b*x + a)/(b*c*x)","A",0
881,1,70,0,0.944869," ","integrate(1/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{c x^{2}} \log\left(\frac{x}{b x + a}\right)}{a c x}, \frac{2 \, \sqrt{-c} \arctan\left(\frac{\sqrt{c x^{2}} {\left(2 \, b x + a\right)} \sqrt{-c}}{a c x}\right)}{a c}\right]"," ",0,"[sqrt(c*x^2)*log(x/(b*x + a))/(a*c*x), 2*sqrt(-c)*arctan(sqrt(c*x^2)*(2*b*x + a)*sqrt(-c)/(a*c*x))/(a*c)]","A",0
882,1,34,0,0.771938," ","integrate(1/x/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x \log\left(\frac{b x + a}{x}\right) - a\right)}}{a^{2} c x^{2}}"," ",0,"sqrt(c*x^2)*(b*x*log((b*x + a)/x) - a)/(a^2*c*x^2)","A",0
883,1,47,0,0.949497," ","integrate(1/x^2/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} x^{2} \log\left(\frac{x}{b x + a}\right) + 2 \, a b x - a^{2}\right)} \sqrt{c x^{2}}}{2 \, a^{3} c x^{3}}"," ",0,"1/2*(2*b^2*x^2*log(x/(b*x + a)) + 2*a*b*x - a^2)*sqrt(c*x^2)/(a^3*c*x^3)","A",0
884,1,58,0,0.840344," ","integrate(1/x^3/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(6 \, b^{3} x^{3} \log\left(\frac{b x + a}{x}\right) - 6 \, a b^{2} x^{2} + 3 \, a^{2} b x - 2 \, a^{3}\right)} \sqrt{c x^{2}}}{6 \, a^{4} c x^{4}}"," ",0,"1/6*(6*b^3*x^3*log((b*x + a)/x) - 6*a*b^2*x^2 + 3*a^2*b*x - 2*a^3)*sqrt(c*x^2)/(a^4*c*x^4)","A",0
885,1,54,0,1.146016," ","integrate(x^6/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{3} x^{3} - 3 \, a b^{2} x^{2} + 6 \, a^{2} b x - 6 \, a^{3} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{6 \, b^{4} c^{2} x}"," ",0,"1/6*(2*b^3*x^3 - 3*a*b^2*x^2 + 6*a^2*b*x - 6*a^3*log(b*x + a))*sqrt(c*x^2)/(b^4*c^2*x)","A",0
886,1,42,0,0.829572," ","integrate(x^5/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} - 2 \, a b x + 2 \, a^{2} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{2 \, b^{3} c^{2} x}"," ",0,"1/2*(b^2*x^2 - 2*a*b*x + 2*a^2*log(b*x + a))*sqrt(c*x^2)/(b^3*c^2*x)","A",0
887,1,30,0,1.111151," ","integrate(x^4/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x - a \log\left(b x + a\right)\right)}}{b^{2} c^{2} x}"," ",0,"sqrt(c*x^2)*(b*x - a*log(b*x + a))/(b^2*c^2*x)","A",0
888,1,23,0,1.087849," ","integrate(x^3/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} \log\left(b x + a\right)}{b c^{2} x}"," ",0,"sqrt(c*x^2)*log(b*x + a)/(b*c^2*x)","A",0
889,1,70,0,1.291402," ","integrate(x^2/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{c x^{2}} \log\left(\frac{x}{b x + a}\right)}{a c^{2} x}, \frac{2 \, \sqrt{-c} \arctan\left(\frac{\sqrt{c x^{2}} {\left(2 \, b x + a\right)} \sqrt{-c}}{a c x}\right)}{a c^{2}}\right]"," ",0,"[sqrt(c*x^2)*log(x/(b*x + a))/(a*c^2*x), 2*sqrt(-c)*arctan(sqrt(c*x^2)*(2*b*x + a)*sqrt(-c)/(a*c*x))/(a*c^2)]","A",0
890,1,34,0,0.945839," ","integrate(x/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x \log\left(\frac{b x + a}{x}\right) - a\right)}}{a^{2} c^{2} x^{2}}"," ",0,"sqrt(c*x^2)*(b*x*log((b*x + a)/x) - a)/(a^2*c^2*x^2)","A",0
891,1,47,0,1.160037," ","integrate(1/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} x^{2} \log\left(\frac{x}{b x + a}\right) + 2 \, a b x - a^{2}\right)} \sqrt{c x^{2}}}{2 \, a^{3} c^{2} x^{3}}"," ",0,"1/2*(2*b^2*x^2*log(x/(b*x + a)) + 2*a*b*x - a^2)*sqrt(c*x^2)/(a^3*c^2*x^3)","A",0
892,1,58,0,1.048254," ","integrate(1/x/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""fricas"")","\frac{{\left(6 \, b^{3} x^{3} \log\left(\frac{b x + a}{x}\right) - 6 \, a b^{2} x^{2} + 3 \, a^{2} b x - 2 \, a^{3}\right)} \sqrt{c x^{2}}}{6 \, a^{4} c^{2} x^{4}}"," ",0,"1/6*(6*b^3*x^3*log((b*x + a)/x) - 6*a*b^2*x^2 + 3*a^2*b*x - 2*a^3)*sqrt(c*x^2)/(a^4*c^2*x^4)","A",0
893,1,83,0,1.143847," ","integrate(x^3*(c*x^2)^(1/2)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b^{4} x^{4} - 2 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 9 \, a^{3} b x - 3 \, a^{4} - 12 \, {\left(a^{3} b x + a^{4}\right)} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{3 \, {\left(b^{6} x^{2} + a b^{5} x\right)}}"," ",0,"1/3*(b^4*x^4 - 2*a*b^3*x^3 + 6*a^2*b^2*x^2 + 9*a^3*b*x - 3*a^4 - 12*(a^3*b*x + a^4)*log(b*x + a))*sqrt(c*x^2)/(b^6*x^2 + a*b^5*x)","A",0
894,1,72,0,0.845898," ","integrate(x^2*(c*x^2)^(1/2)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b^{3} x^{3} - 3 \, a b^{2} x^{2} - 4 \, a^{2} b x + 2 \, a^{3} + 6 \, {\left(a^{2} b x + a^{3}\right)} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{2 \, {\left(b^{5} x^{2} + a b^{4} x\right)}}"," ",0,"1/2*(b^3*x^3 - 3*a*b^2*x^2 - 4*a^2*b*x + 2*a^3 + 6*(a^2*b*x + a^3)*log(b*x + a))*sqrt(c*x^2)/(b^5*x^2 + a*b^4*x)","A",0
895,1,57,0,1.016306," ","integrate(x*(c*x^2)^(1/2)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + a b x - a^{2} - 2 \, {\left(a b x + a^{2}\right)} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{b^{4} x^{2} + a b^{3} x}"," ",0,"(b^2*x^2 + a*b*x - a^2 - 2*(a*b*x + a^2)*log(b*x + a))*sqrt(c*x^2)/(b^4*x^2 + a*b^3*x)","A",0
896,1,38,0,0.668705," ","integrate((c*x^2)^(1/2)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left({\left(b x + a\right)} \log\left(b x + a\right) + a\right)}}{b^{3} x^{2} + a b^{2} x}"," ",0,"sqrt(c*x^2)*((b*x + a)*log(b*x + a) + a)/(b^3*x^2 + a*b^2*x)","A",0
897,1,23,0,1.251888," ","integrate((c*x^2)^(1/2)/x/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}}}{b^{2} x^{2} + a b x}"," ",0,"-sqrt(c*x^2)/(b^2*x^2 + a*b*x)","A",0
898,1,42,0,1.054188," ","integrate((c*x^2)^(1/2)/x^2/(b*x+a)^2,x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left({\left(b x + a\right)} \log\left(\frac{x}{b x + a}\right) + a\right)}}{a^{2} b x^{2} + a^{3} x}"," ",0,"sqrt(c*x^2)*((b*x + a)*log(x/(b*x + a)) + a)/(a^2*b*x^2 + a^3*x)","A",0
899,1,60,0,1.044298," ","integrate((c*x^2)^(1/2)/x^3/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{{\left(2 \, a b x + a^{2} - 2 \, {\left(b^{2} x^{2} + a b x\right)} \log\left(\frac{b x + a}{x}\right)\right)} \sqrt{c x^{2}}}{a^{3} b x^{3} + a^{4} x^{2}}"," ",0,"-(2*a*b*x + a^2 - 2*(b^2*x^2 + a*b*x)*log((b*x + a)/x))*sqrt(c*x^2)/(a^3*b*x^3 + a^4*x^2)","A",0
900,1,77,0,1.161960," ","integrate((c*x^2)^(1/2)/x^4/(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(6 \, a b^{2} x^{2} + 3 \, a^{2} b x - a^{3} + 6 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} \log\left(\frac{x}{b x + a}\right)\right)} \sqrt{c x^{2}}}{2 \, {\left(a^{4} b x^{4} + a^{5} x^{3}\right)}}"," ",0,"1/2*(6*a*b^2*x^2 + 3*a^2*b*x - a^3 + 6*(b^3*x^3 + a*b^2*x^2)*log(x/(b*x + a)))*sqrt(c*x^2)/(a^4*b*x^4 + a^5*x^3)","A",0
901,1,91,0,1.095476," ","integrate(x*(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b^{4} c x^{4} - 2 \, a b^{3} c x^{3} + 6 \, a^{2} b^{2} c x^{2} + 9 \, a^{3} b c x - 3 \, a^{4} c - 12 \, {\left(a^{3} b c x + a^{4} c\right)} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{3 \, {\left(b^{6} x^{2} + a b^{5} x\right)}}"," ",0,"1/3*(b^4*c*x^4 - 2*a*b^3*c*x^3 + 6*a^2*b^2*c*x^2 + 9*a^3*b*c*x - 3*a^4*c - 12*(a^3*b*c*x + a^4*c)*log(b*x + a))*sqrt(c*x^2)/(b^6*x^2 + a*b^5*x)","A",0
902,1,79,0,1.099979," ","integrate((c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b^{3} c x^{3} - 3 \, a b^{2} c x^{2} - 4 \, a^{2} b c x + 2 \, a^{3} c + 6 \, {\left(a^{2} b c x + a^{3} c\right)} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{2 \, {\left(b^{5} x^{2} + a b^{4} x\right)}}"," ",0,"1/2*(b^3*c*x^3 - 3*a*b^2*c*x^2 - 4*a^2*b*c*x + 2*a^3*c + 6*(a^2*b*c*x + a^3*c)*log(b*x + a))*sqrt(c*x^2)/(b^5*x^2 + a*b^4*x)","A",0
903,1,63,0,1.262667," ","integrate((c*x^2)^(3/2)/x/(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b^{2} c x^{2} + a b c x - a^{2} c - 2 \, {\left(a b c x + a^{2} c\right)} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{b^{4} x^{2} + a b^{3} x}"," ",0,"(b^2*c*x^2 + a*b*c*x - a^2*c - 2*(a*b*c*x + a^2*c)*log(b*x + a))*sqrt(c*x^2)/(b^4*x^2 + a*b^3*x)","A",0
904,1,43,0,1.412910," ","integrate((c*x^2)^(3/2)/x^2/(b*x+a)^2,x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(a c + {\left(b c x + a c\right)} \log\left(b x + a\right)\right)}}{b^{3} x^{2} + a b^{2} x}"," ",0,"sqrt(c*x^2)*(a*c + (b*c*x + a*c)*log(b*x + a))/(b^3*x^2 + a*b^2*x)","A",0
905,1,24,0,1.094447," ","integrate((c*x^2)^(3/2)/x^3/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}} c}{b^{2} x^{2} + a b x}"," ",0,"-sqrt(c*x^2)*c/(b^2*x^2 + a*b*x)","A",0
906,1,47,0,1.119197," ","integrate((c*x^2)^(3/2)/x^4/(b*x+a)^2,x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(a c + {\left(b c x + a c\right)} \log\left(\frac{x}{b x + a}\right)\right)}}{a^{2} b x^{2} + a^{3} x}"," ",0,"sqrt(c*x^2)*(a*c + (b*c*x + a*c)*log(x/(b*x + a)))/(a^2*b*x^2 + a^3*x)","A",0
907,1,65,0,1.161590," ","integrate((c*x^2)^(3/2)/x^5/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{{\left(2 \, a b c x + a^{2} c - 2 \, {\left(b^{2} c x^{2} + a b c x\right)} \log\left(\frac{b x + a}{x}\right)\right)} \sqrt{c x^{2}}}{a^{3} b x^{3} + a^{4} x^{2}}"," ",0,"-(2*a*b*c*x + a^2*c - 2*(b^2*c*x^2 + a*b*c*x)*log((b*x + a)/x))*sqrt(c*x^2)/(a^3*b*x^3 + a^4*x^2)","A",0
908,1,82,0,0.928360," ","integrate((c*x^2)^(3/2)/x^6/(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(6 \, a b^{2} c x^{2} + 3 \, a^{2} b c x - a^{3} c + 6 \, {\left(b^{3} c x^{3} + a b^{2} c x^{2}\right)} \log\left(\frac{x}{b x + a}\right)\right)} \sqrt{c x^{2}}}{2 \, {\left(a^{4} b x^{4} + a^{5} x^{3}\right)}}"," ",0,"1/2*(6*a*b^2*c*x^2 + 3*a^2*b*c*x - a^3*c + 6*(b^3*c*x^3 + a*b^2*c*x^2)*log(x/(b*x + a)))*sqrt(c*x^2)/(a^4*b*x^4 + a^5*x^3)","A",0
909,1,85,0,0.968875," ","integrate(x^5/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(b^{4} x^{4} - 2 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 9 \, a^{3} b x - 3 \, a^{4} - 12 \, {\left(a^{3} b x + a^{4}\right)} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{3 \, {\left(b^{6} c x^{2} + a b^{5} c x\right)}}"," ",0,"1/3*(b^4*x^4 - 2*a*b^3*x^3 + 6*a^2*b^2*x^2 + 9*a^3*b*x - 3*a^4 - 12*(a^3*b*x + a^4)*log(b*x + a))*sqrt(c*x^2)/(b^6*c*x^2 + a*b^5*c*x)","A",0
910,1,74,0,0.985904," ","integrate(x^4/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(b^{3} x^{3} - 3 \, a b^{2} x^{2} - 4 \, a^{2} b x + 2 \, a^{3} + 6 \, {\left(a^{2} b x + a^{3}\right)} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{2 \, {\left(b^{5} c x^{2} + a b^{4} c x\right)}}"," ",0,"1/2*(b^3*x^3 - 3*a*b^2*x^2 - 4*a^2*b*x + 2*a^3 + 6*(a^2*b*x + a^3)*log(b*x + a))*sqrt(c*x^2)/(b^5*c*x^2 + a*b^4*c*x)","A",0
911,1,59,0,1.051175," ","integrate(x^3/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + a b x - a^{2} - 2 \, {\left(a b x + a^{2}\right)} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{b^{4} c x^{2} + a b^{3} c x}"," ",0,"(b^2*x^2 + a*b*x - a^2 - 2*(a*b*x + a^2)*log(b*x + a))*sqrt(c*x^2)/(b^4*c*x^2 + a*b^3*c*x)","A",0
912,1,40,0,1.199715," ","integrate(x^2/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left({\left(b x + a\right)} \log\left(b x + a\right) + a\right)}}{b^{3} c x^{2} + a b^{2} c x}"," ",0,"sqrt(c*x^2)*((b*x + a)*log(b*x + a) + a)/(b^3*c*x^2 + a*b^2*c*x)","A",0
913,1,25,0,1.078300," ","integrate(x/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}}}{b^{2} c x^{2} + a b c x}"," ",0,"-sqrt(c*x^2)/(b^2*c*x^2 + a*b*c*x)","A",0
914,1,44,0,0.993934," ","integrate(1/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left({\left(b x + a\right)} \log\left(\frac{x}{b x + a}\right) + a\right)}}{a^{2} b c x^{2} + a^{3} c x}"," ",0,"sqrt(c*x^2)*((b*x + a)*log(x/(b*x + a)) + a)/(a^2*b*c*x^2 + a^3*c*x)","A",0
915,1,62,0,0.952366," ","integrate(1/x/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, a b x + a^{2} - 2 \, {\left(b^{2} x^{2} + a b x\right)} \log\left(\frac{b x + a}{x}\right)\right)} \sqrt{c x^{2}}}{a^{3} b c x^{3} + a^{4} c x^{2}}"," ",0,"-(2*a*b*x + a^2 - 2*(b^2*x^2 + a*b*x)*log((b*x + a)/x))*sqrt(c*x^2)/(a^3*b*c*x^3 + a^4*c*x^2)","A",0
916,1,79,0,1.283543," ","integrate(1/x^2/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(6 \, a b^{2} x^{2} + 3 \, a^{2} b x - a^{3} + 6 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} \log\left(\frac{x}{b x + a}\right)\right)} \sqrt{c x^{2}}}{2 \, {\left(a^{4} b c x^{4} + a^{5} c x^{3}\right)}}"," ",0,"1/2*(6*a*b^2*x^2 + 3*a^2*b*x - a^3 + 6*(b^3*x^3 + a*b^2*x^2)*log(x/(b*x + a)))*sqrt(c*x^2)/(a^4*b*c*x^4 + a^5*c*x^3)","A",0
917,1,63,0,0.998065," ","integrate(x^5/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} + a b x - a^{2} - 2 \, {\left(a b x + a^{2}\right)} \log\left(b x + a\right)\right)} \sqrt{c x^{2}}}{b^{4} c^{2} x^{2} + a b^{3} c^{2} x}"," ",0,"(b^2*x^2 + a*b*x - a^2 - 2*(a*b*x + a^2)*log(b*x + a))*sqrt(c*x^2)/(b^4*c^2*x^2 + a*b^3*c^2*x)","A",0
918,1,44,0,1.115991," ","integrate(x^4/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left({\left(b x + a\right)} \log\left(b x + a\right) + a\right)}}{b^{3} c^{2} x^{2} + a b^{2} c^{2} x}"," ",0,"sqrt(c*x^2)*((b*x + a)*log(b*x + a) + a)/(b^3*c^2*x^2 + a*b^2*c^2*x)","A",0
919,1,29,0,0.958147," ","integrate(x^3/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{\sqrt{c x^{2}}}{b^{2} c^{2} x^{2} + a b c^{2} x}"," ",0,"-sqrt(c*x^2)/(b^2*c^2*x^2 + a*b*c^2*x)","A",0
920,1,48,0,1.019400," ","integrate(x^2/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left({\left(b x + a\right)} \log\left(\frac{x}{b x + a}\right) + a\right)}}{a^{2} b c^{2} x^{2} + a^{3} c^{2} x}"," ",0,"sqrt(c*x^2)*((b*x + a)*log(x/(b*x + a)) + a)/(a^2*b*c^2*x^2 + a^3*c^2*x)","A",0
921,1,66,0,1.208699," ","integrate(x/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{{\left(2 \, a b x + a^{2} - 2 \, {\left(b^{2} x^{2} + a b x\right)} \log\left(\frac{b x + a}{x}\right)\right)} \sqrt{c x^{2}}}{a^{3} b c^{2} x^{3} + a^{4} c^{2} x^{2}}"," ",0,"-(2*a*b*x + a^2 - 2*(b^2*x^2 + a*b*x)*log((b*x + a)/x))*sqrt(c*x^2)/(a^3*b*c^2*x^3 + a^4*c^2*x^2)","A",0
922,1,83,0,0.978098," ","integrate(1/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(6 \, a b^{2} x^{2} + 3 \, a^{2} b x - a^{3} + 6 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} \log\left(\frac{x}{b x + a}\right)\right)} \sqrt{c x^{2}}}{2 \, {\left(a^{4} b c^{2} x^{4} + a^{5} c^{2} x^{3}\right)}}"," ",0,"1/2*(6*a*b^2*x^2 + 3*a^2*b*x - a^3 + 6*(b^3*x^3 + a*b^2*x^2)*log(x/(b*x + a)))*sqrt(c*x^2)/(a^4*b*c^2*x^4 + a^5*c^2*x^3)","A",0
923,1,153,0,1.242963," ","integrate(x^2*(b*x+a)^n*(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(6 \, a^{3} b n x + {\left(b^{4} n^{3} + 6 \, b^{4} n^{2} + 11 \, b^{4} n + 6 \, b^{4}\right)} x^{4} - 6 \, a^{4} + {\left(a b^{3} n^{3} + 3 \, a b^{3} n^{2} + 2 \, a b^{3} n\right)} x^{3} - 3 \, {\left(a^{2} b^{2} n^{2} + a^{2} b^{2} n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{4} n^{4} + 10 \, b^{4} n^{3} + 35 \, b^{4} n^{2} + 50 \, b^{4} n + 24 \, b^{4}\right)} x}"," ",0,"(6*a^3*b*n*x + (b^4*n^3 + 6*b^4*n^2 + 11*b^4*n + 6*b^4)*x^4 - 6*a^4 + (a*b^3*n^3 + 3*a*b^3*n^2 + 2*a*b^3*n)*x^3 - 3*(a^2*b^2*n^2 + a^2*b^2*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4)*x)","A",0
924,1,106,0,1.564051," ","integrate(x*(b*x+a)^n*(c*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, a^{2} b n x - {\left(b^{3} n^{2} + 3 \, b^{3} n + 2 \, b^{3}\right)} x^{3} - 2 \, a^{3} - {\left(a b^{2} n^{2} + a b^{2} n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{3} n^{3} + 6 \, b^{3} n^{2} + 11 \, b^{3} n + 6 \, b^{3}\right)} x}"," ",0,"-(2*a^2*b*n*x - (b^3*n^2 + 3*b^3*n + 2*b^3)*x^3 - 2*a^3 - (a*b^2*n^2 + a*b^2*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^3*n^3 + 6*b^3*n^2 + 11*b^3*n + 6*b^3)*x)","A",0
925,1,63,0,0.785759," ","integrate((b*x+a)^n*(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(a b n x + {\left(b^{2} n + b^{2}\right)} x^{2} - a^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{2} n^{2} + 3 \, b^{2} n + 2 \, b^{2}\right)} x}"," ",0,"(a*b*n*x + (b^2*n + b^2)*x^2 - a^2)*sqrt(c*x^2)*(b*x + a)^n/((b^2*n^2 + 3*b^2*n + 2*b^2)*x)","A",0
926,1,30,0,0.985598," ","integrate((b*x+a)^n*(c*x^2)^(1/2)/x,x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x + a\right)} {\left(b x + a\right)}^{n}}{{\left(b n + b\right)} x}"," ",0,"sqrt(c*x^2)*(b*x + a)*(b*x + a)^n/((b*n + b)*x)","A",0
927,0,0,0,0.702772," ","integrate((b*x+a)^n*(c*x^2)^(1/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{x^{2}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/x^2, x)","F",0
928,0,0,0,1.339287," ","integrate((b*x+a)^n*(c*x^2)^(1/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{x^{3}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/x^3, x)","F",0
929,0,0,0,0.785166," ","integrate((b*x+a)^n*(c*x^2)^(1/2)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{x^{4}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/x^4, x)","F",0
930,1,233,0,1.339550," ","integrate(x*(c*x^2)^(3/2)*(b*x+a)^n,x, algorithm=""fricas"")","-\frac{{\left(24 \, a^{4} b c n x - 24 \, a^{5} c - {\left(b^{5} c n^{4} + 10 \, b^{5} c n^{3} + 35 \, b^{5} c n^{2} + 50 \, b^{5} c n + 24 \, b^{5} c\right)} x^{5} - {\left(a b^{4} c n^{4} + 6 \, a b^{4} c n^{3} + 11 \, a b^{4} c n^{2} + 6 \, a b^{4} c n\right)} x^{4} + 4 \, {\left(a^{2} b^{3} c n^{3} + 3 \, a^{2} b^{3} c n^{2} + 2 \, a^{2} b^{3} c n\right)} x^{3} - 12 \, {\left(a^{3} b^{2} c n^{2} + a^{3} b^{2} c n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{5} n^{5} + 15 \, b^{5} n^{4} + 85 \, b^{5} n^{3} + 225 \, b^{5} n^{2} + 274 \, b^{5} n + 120 \, b^{5}\right)} x}"," ",0,"-(24*a^4*b*c*n*x - 24*a^5*c - (b^5*c*n^4 + 10*b^5*c*n^3 + 35*b^5*c*n^2 + 50*b^5*c*n + 24*b^5*c)*x^5 - (a*b^4*c*n^4 + 6*a*b^4*c*n^3 + 11*a*b^4*c*n^2 + 6*a*b^4*c*n)*x^4 + 4*(a^2*b^3*c*n^3 + 3*a^2*b^3*c*n^2 + 2*a^2*b^3*c*n)*x^3 - 12*(a^3*b^2*c*n^2 + a^3*b^2*c*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^5*n^5 + 15*b^5*n^4 + 85*b^5*n^3 + 225*b^5*n^2 + 274*b^5*n + 120*b^5)*x)","A",0
931,1,164,0,1.055241," ","integrate((c*x^2)^(3/2)*(b*x+a)^n,x, algorithm=""fricas"")","\frac{{\left(6 \, a^{3} b c n x - 6 \, a^{4} c + {\left(b^{4} c n^{3} + 6 \, b^{4} c n^{2} + 11 \, b^{4} c n + 6 \, b^{4} c\right)} x^{4} + {\left(a b^{3} c n^{3} + 3 \, a b^{3} c n^{2} + 2 \, a b^{3} c n\right)} x^{3} - 3 \, {\left(a^{2} b^{2} c n^{2} + a^{2} b^{2} c n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{4} n^{4} + 10 \, b^{4} n^{3} + 35 \, b^{4} n^{2} + 50 \, b^{4} n + 24 \, b^{4}\right)} x}"," ",0,"(6*a^3*b*c*n*x - 6*a^4*c + (b^4*c*n^3 + 6*b^4*c*n^2 + 11*b^4*c*n + 6*b^4*c)*x^4 + (a*b^3*c*n^3 + 3*a*b^3*c*n^2 + 2*a*b^3*c*n)*x^3 - 3*(a^2*b^2*c*n^2 + a^2*b^2*c*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4)*x)","A",0
932,1,113,0,1.015051," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x,x, algorithm=""fricas"")","-\frac{{\left(2 \, a^{2} b c n x - 2 \, a^{3} c - {\left(b^{3} c n^{2} + 3 \, b^{3} c n + 2 \, b^{3} c\right)} x^{3} - {\left(a b^{2} c n^{2} + a b^{2} c n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{3} n^{3} + 6 \, b^{3} n^{2} + 11 \, b^{3} n + 6 \, b^{3}\right)} x}"," ",0,"-(2*a^2*b*c*n*x - 2*a^3*c - (b^3*c*n^2 + 3*b^3*c*n + 2*b^3*c)*x^3 - (a*b^2*c*n^2 + a*b^2*c*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^3*n^3 + 6*b^3*n^2 + 11*b^3*n + 6*b^3)*x)","A",0
933,1,68,0,0.835323," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^2,x, algorithm=""fricas"")","\frac{{\left(a b c n x - a^{2} c + {\left(b^{2} c n + b^{2} c\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{2} n^{2} + 3 \, b^{2} n + 2 \, b^{2}\right)} x}"," ",0,"(a*b*c*n*x - a^2*c + (b^2*c*n + b^2*c)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^2*n^2 + 3*b^2*n + 2*b^2)*x)","A",0
934,1,33,0,1.013000," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^3,x, algorithm=""fricas"")","\frac{{\left(b c x + a c\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b n + b\right)} x}"," ",0,"(b*c*x + a*c)*sqrt(c*x^2)*(b*x + a)^n/((b*n + b)*x)","A",0
935,0,0,0,1.511059," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n} c}{x^{2}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n*c/x^2, x)","F",0
936,0,0,0,0.985983," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n} c}{x^{3}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n*c/x^3, x)","F",0
937,0,0,0,0.926336," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n} c}{x^{4}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n*c/x^4, x)","F",0
938,1,352,0,0.885305," ","integrate((c*x^2)^(5/2)*(b*x+a)^n,x, algorithm=""fricas"")","\frac{{\left(120 \, a^{5} b c^{2} n x - 120 \, a^{6} c^{2} + {\left(b^{6} c^{2} n^{5} + 15 \, b^{6} c^{2} n^{4} + 85 \, b^{6} c^{2} n^{3} + 225 \, b^{6} c^{2} n^{2} + 274 \, b^{6} c^{2} n + 120 \, b^{6} c^{2}\right)} x^{6} + {\left(a b^{5} c^{2} n^{5} + 10 \, a b^{5} c^{2} n^{4} + 35 \, a b^{5} c^{2} n^{3} + 50 \, a b^{5} c^{2} n^{2} + 24 \, a b^{5} c^{2} n\right)} x^{5} - 5 \, {\left(a^{2} b^{4} c^{2} n^{4} + 6 \, a^{2} b^{4} c^{2} n^{3} + 11 \, a^{2} b^{4} c^{2} n^{2} + 6 \, a^{2} b^{4} c^{2} n\right)} x^{4} + 20 \, {\left(a^{3} b^{3} c^{2} n^{3} + 3 \, a^{3} b^{3} c^{2} n^{2} + 2 \, a^{3} b^{3} c^{2} n\right)} x^{3} - 60 \, {\left(a^{4} b^{2} c^{2} n^{2} + a^{4} b^{2} c^{2} n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{6} n^{6} + 21 \, b^{6} n^{5} + 175 \, b^{6} n^{4} + 735 \, b^{6} n^{3} + 1624 \, b^{6} n^{2} + 1764 \, b^{6} n + 720 \, b^{6}\right)} x}"," ",0,"(120*a^5*b*c^2*n*x - 120*a^6*c^2 + (b^6*c^2*n^5 + 15*b^6*c^2*n^4 + 85*b^6*c^2*n^3 + 225*b^6*c^2*n^2 + 274*b^6*c^2*n + 120*b^6*c^2)*x^6 + (a*b^5*c^2*n^5 + 10*a*b^5*c^2*n^4 + 35*a*b^5*c^2*n^3 + 50*a*b^5*c^2*n^2 + 24*a*b^5*c^2*n)*x^5 - 5*(a^2*b^4*c^2*n^4 + 6*a^2*b^4*c^2*n^3 + 11*a^2*b^4*c^2*n^2 + 6*a^2*b^4*c^2*n)*x^4 + 20*(a^3*b^3*c^2*n^3 + 3*a^3*b^3*c^2*n^2 + 2*a^3*b^3*c^2*n)*x^3 - 60*(a^4*b^2*c^2*n^2 + a^4*b^2*c^2*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^6*n^6 + 21*b^6*n^5 + 175*b^6*n^4 + 735*b^6*n^3 + 1624*b^6*n^2 + 1764*b^6*n + 720*b^6)*x)","A",0
939,1,265,0,1.152381," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x,x, algorithm=""fricas"")","-\frac{{\left(24 \, a^{4} b c^{2} n x - 24 \, a^{5} c^{2} - {\left(b^{5} c^{2} n^{4} + 10 \, b^{5} c^{2} n^{3} + 35 \, b^{5} c^{2} n^{2} + 50 \, b^{5} c^{2} n + 24 \, b^{5} c^{2}\right)} x^{5} - {\left(a b^{4} c^{2} n^{4} + 6 \, a b^{4} c^{2} n^{3} + 11 \, a b^{4} c^{2} n^{2} + 6 \, a b^{4} c^{2} n\right)} x^{4} + 4 \, {\left(a^{2} b^{3} c^{2} n^{3} + 3 \, a^{2} b^{3} c^{2} n^{2} + 2 \, a^{2} b^{3} c^{2} n\right)} x^{3} - 12 \, {\left(a^{3} b^{2} c^{2} n^{2} + a^{3} b^{2} c^{2} n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{5} n^{5} + 15 \, b^{5} n^{4} + 85 \, b^{5} n^{3} + 225 \, b^{5} n^{2} + 274 \, b^{5} n + 120 \, b^{5}\right)} x}"," ",0,"-(24*a^4*b*c^2*n*x - 24*a^5*c^2 - (b^5*c^2*n^4 + 10*b^5*c^2*n^3 + 35*b^5*c^2*n^2 + 50*b^5*c^2*n + 24*b^5*c^2)*x^5 - (a*b^4*c^2*n^4 + 6*a*b^4*c^2*n^3 + 11*a*b^4*c^2*n^2 + 6*a*b^4*c^2*n)*x^4 + 4*(a^2*b^3*c^2*n^3 + 3*a^2*b^3*c^2*n^2 + 2*a^2*b^3*c^2*n)*x^3 - 12*(a^3*b^2*c^2*n^2 + a^3*b^2*c^2*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^5*n^5 + 15*b^5*n^4 + 85*b^5*n^3 + 225*b^5*n^2 + 274*b^5*n + 120*b^5)*x)","A",0
940,1,186,0,1.145910," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^2,x, algorithm=""fricas"")","\frac{{\left(6 \, a^{3} b c^{2} n x - 6 \, a^{4} c^{2} + {\left(b^{4} c^{2} n^{3} + 6 \, b^{4} c^{2} n^{2} + 11 \, b^{4} c^{2} n + 6 \, b^{4} c^{2}\right)} x^{4} + {\left(a b^{3} c^{2} n^{3} + 3 \, a b^{3} c^{2} n^{2} + 2 \, a b^{3} c^{2} n\right)} x^{3} - 3 \, {\left(a^{2} b^{2} c^{2} n^{2} + a^{2} b^{2} c^{2} n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{4} n^{4} + 10 \, b^{4} n^{3} + 35 \, b^{4} n^{2} + 50 \, b^{4} n + 24 \, b^{4}\right)} x}"," ",0,"(6*a^3*b*c^2*n*x - 6*a^4*c^2 + (b^4*c^2*n^3 + 6*b^4*c^2*n^2 + 11*b^4*c^2*n + 6*b^4*c^2)*x^4 + (a*b^3*c^2*n^3 + 3*a*b^3*c^2*n^2 + 2*a*b^3*c^2*n)*x^3 - 3*(a^2*b^2*c^2*n^2 + a^2*b^2*c^2*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4)*x)","A",0
941,1,127,0,1.045068," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^3,x, algorithm=""fricas"")","-\frac{{\left(2 \, a^{2} b c^{2} n x - 2 \, a^{3} c^{2} - {\left(b^{3} c^{2} n^{2} + 3 \, b^{3} c^{2} n + 2 \, b^{3} c^{2}\right)} x^{3} - {\left(a b^{2} c^{2} n^{2} + a b^{2} c^{2} n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{3} n^{3} + 6 \, b^{3} n^{2} + 11 \, b^{3} n + 6 \, b^{3}\right)} x}"," ",0,"-(2*a^2*b*c^2*n*x - 2*a^3*c^2 - (b^3*c^2*n^2 + 3*b^3*c^2*n + 2*b^3*c^2)*x^3 - (a*b^2*c^2*n^2 + a*b^2*c^2*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^3*n^3 + 6*b^3*n^2 + 11*b^3*n + 6*b^3)*x)","A",0
942,1,76,0,1.052172," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^4,x, algorithm=""fricas"")","\frac{{\left(a b c^{2} n x - a^{2} c^{2} + {\left(b^{2} c^{2} n + b^{2} c^{2}\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{2} n^{2} + 3 \, b^{2} n + 2 \, b^{2}\right)} x}"," ",0,"(a*b*c^2*n*x - a^2*c^2 + (b^2*c^2*n + b^2*c^2)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^2*n^2 + 3*b^2*n + 2*b^2)*x)","A",0
943,1,37,0,0.837908," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^5,x, algorithm=""fricas"")","\frac{{\left(b c^{2} x + a c^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b n + b\right)} x}"," ",0,"(b*c^2*x + a*c^2)*sqrt(c*x^2)*(b*x + a)^n/((b*n + b)*x)","A",0
944,0,0,0,0.718133," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n} c^{2}}{x^{2}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n*c^2/x^2, x)","F",0
945,0,0,0,1.170470," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^7,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n} c^{2}}{x^{3}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n*c^2/x^3, x)","F",0
946,1,158,0,1.056272," ","integrate(x^4*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(6 \, a^{3} b n x + {\left(b^{4} n^{3} + 6 \, b^{4} n^{2} + 11 \, b^{4} n + 6 \, b^{4}\right)} x^{4} - 6 \, a^{4} + {\left(a b^{3} n^{3} + 3 \, a b^{3} n^{2} + 2 \, a b^{3} n\right)} x^{3} - 3 \, {\left(a^{2} b^{2} n^{2} + a^{2} b^{2} n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{4} c n^{4} + 10 \, b^{4} c n^{3} + 35 \, b^{4} c n^{2} + 50 \, b^{4} c n + 24 \, b^{4} c\right)} x}"," ",0,"(6*a^3*b*n*x + (b^4*n^3 + 6*b^4*n^2 + 11*b^4*n + 6*b^4)*x^4 - 6*a^4 + (a*b^3*n^3 + 3*a*b^3*n^2 + 2*a*b^3*n)*x^3 - 3*(a^2*b^2*n^2 + a^2*b^2*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^4*c*n^4 + 10*b^4*c*n^3 + 35*b^4*c*n^2 + 50*b^4*c*n + 24*b^4*c)*x)","A",0
947,1,110,0,1.327624," ","integrate(x^3*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, a^{2} b n x - {\left(b^{3} n^{2} + 3 \, b^{3} n + 2 \, b^{3}\right)} x^{3} - 2 \, a^{3} - {\left(a b^{2} n^{2} + a b^{2} n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{3} c n^{3} + 6 \, b^{3} c n^{2} + 11 \, b^{3} c n + 6 \, b^{3} c\right)} x}"," ",0,"-(2*a^2*b*n*x - (b^3*n^2 + 3*b^3*n + 2*b^3)*x^3 - 2*a^3 - (a*b^2*n^2 + a*b^2*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^3*c*n^3 + 6*b^3*c*n^2 + 11*b^3*c*n + 6*b^3*c)*x)","A",0
948,1,66,0,0.957226," ","integrate(x^2*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(a b n x + {\left(b^{2} n + b^{2}\right)} x^{2} - a^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{2} c n^{2} + 3 \, b^{2} c n + 2 \, b^{2} c\right)} x}"," ",0,"(a*b*n*x + (b^2*n + b^2)*x^2 - a^2)*sqrt(c*x^2)*(b*x + a)^n/((b^2*c*n^2 + 3*b^2*c*n + 2*b^2*c)*x)","A",0
949,1,33,0,1.690206," ","integrate(x*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x + a\right)} {\left(b x + a\right)}^{n}}{{\left(b c n + b c\right)} x}"," ",0,"sqrt(c*x^2)*(b*x + a)*(b*x + a)^n/((b*c*n + b*c)*x)","A",0
950,0,0,0,1.061842," ","integrate((b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{c x^{2}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/(c*x^2), x)","F",0
951,0,0,0,1.061800," ","integrate((b*x+a)^n/x/(c*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{c x^{3}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/(c*x^3), x)","F",0
952,0,0,0,1.067850," ","integrate((b*x+a)^n/x^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{c x^{4}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/(c*x^4), x)","F",0
953,1,168,0,0.988867," ","integrate(x^6*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(6 \, a^{3} b n x + {\left(b^{4} n^{3} + 6 \, b^{4} n^{2} + 11 \, b^{4} n + 6 \, b^{4}\right)} x^{4} - 6 \, a^{4} + {\left(a b^{3} n^{3} + 3 \, a b^{3} n^{2} + 2 \, a b^{3} n\right)} x^{3} - 3 \, {\left(a^{2} b^{2} n^{2} + a^{2} b^{2} n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{4} c^{2} n^{4} + 10 \, b^{4} c^{2} n^{3} + 35 \, b^{4} c^{2} n^{2} + 50 \, b^{4} c^{2} n + 24 \, b^{4} c^{2}\right)} x}"," ",0,"(6*a^3*b*n*x + (b^4*n^3 + 6*b^4*n^2 + 11*b^4*n + 6*b^4)*x^4 - 6*a^4 + (a*b^3*n^3 + 3*a*b^3*n^2 + 2*a*b^3*n)*x^3 - 3*(a^2*b^2*n^2 + a^2*b^2*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^4*c^2*n^4 + 10*b^4*c^2*n^3 + 35*b^4*c^2*n^2 + 50*b^4*c^2*n + 24*b^4*c^2)*x)","A",0
954,1,118,0,1.165230," ","integrate(x^5*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, a^{2} b n x - {\left(b^{3} n^{2} + 3 \, b^{3} n + 2 \, b^{3}\right)} x^{3} - 2 \, a^{3} - {\left(a b^{2} n^{2} + a b^{2} n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{3} c^{2} n^{3} + 6 \, b^{3} c^{2} n^{2} + 11 \, b^{3} c^{2} n + 6 \, b^{3} c^{2}\right)} x}"," ",0,"-(2*a^2*b*n*x - (b^3*n^2 + 3*b^3*n + 2*b^3)*x^3 - 2*a^3 - (a*b^2*n^2 + a*b^2*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^3*c^2*n^3 + 6*b^3*c^2*n^2 + 11*b^3*c^2*n + 6*b^3*c^2)*x)","A",0
955,1,72,0,1.586144," ","integrate(x^4*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(a b n x + {\left(b^{2} n + b^{2}\right)} x^{2} - a^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{2} c^{2} n^{2} + 3 \, b^{2} c^{2} n + 2 \, b^{2} c^{2}\right)} x}"," ",0,"(a*b*n*x + (b^2*n + b^2)*x^2 - a^2)*sqrt(c*x^2)*(b*x + a)^n/((b^2*c^2*n^2 + 3*b^2*c^2*n + 2*b^2*c^2)*x)","A",0
956,1,37,0,0.911504," ","integrate(x^3*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x + a\right)} {\left(b x + a\right)}^{n}}{{\left(b c^{2} n + b c^{2}\right)} x}"," ",0,"sqrt(c*x^2)*(b*x + a)*(b*x + a)^n/((b*c^2*n + b*c^2)*x)","A",0
957,0,0,0,1.400283," ","integrate(x^2*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{c^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/(c^2*x^2), x)","F",0
958,0,0,0,1.393703," ","integrate(x*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{c^{2} x^{3}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/(c^2*x^3), x)","F",0
959,0,0,0,1.692068," ","integrate((b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{c^{2} x^{4}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/(c^2*x^4), x)","F",0
960,0,0,0,1.249835," ","integrate((b*x+a)^n/x/(c*x^2)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{c^{2} x^{5}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/(c^2*x^5), x)","F",0
961,1,168,0,0.951371," ","integrate(x^8*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(6 \, a^{3} b n x + {\left(b^{4} n^{3} + 6 \, b^{4} n^{2} + 11 \, b^{4} n + 6 \, b^{4}\right)} x^{4} - 6 \, a^{4} + {\left(a b^{3} n^{3} + 3 \, a b^{3} n^{2} + 2 \, a b^{3} n\right)} x^{3} - 3 \, {\left(a^{2} b^{2} n^{2} + a^{2} b^{2} n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{4} c^{3} n^{4} + 10 \, b^{4} c^{3} n^{3} + 35 \, b^{4} c^{3} n^{2} + 50 \, b^{4} c^{3} n + 24 \, b^{4} c^{3}\right)} x}"," ",0,"(6*a^3*b*n*x + (b^4*n^3 + 6*b^4*n^2 + 11*b^4*n + 6*b^4)*x^4 - 6*a^4 + (a*b^3*n^3 + 3*a*b^3*n^2 + 2*a*b^3*n)*x^3 - 3*(a^2*b^2*n^2 + a^2*b^2*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^4*c^3*n^4 + 10*b^4*c^3*n^3 + 35*b^4*c^3*n^2 + 50*b^4*c^3*n + 24*b^4*c^3)*x)","A",0
962,1,118,0,1.873550," ","integrate(x^7*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, a^{2} b n x - {\left(b^{3} n^{2} + 3 \, b^{3} n + 2 \, b^{3}\right)} x^{3} - 2 \, a^{3} - {\left(a b^{2} n^{2} + a b^{2} n\right)} x^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{3} c^{3} n^{3} + 6 \, b^{3} c^{3} n^{2} + 11 \, b^{3} c^{3} n + 6 \, b^{3} c^{3}\right)} x}"," ",0,"-(2*a^2*b*n*x - (b^3*n^2 + 3*b^3*n + 2*b^3)*x^3 - 2*a^3 - (a*b^2*n^2 + a*b^2*n)*x^2)*sqrt(c*x^2)*(b*x + a)^n/((b^3*c^3*n^3 + 6*b^3*c^3*n^2 + 11*b^3*c^3*n + 6*b^3*c^3)*x)","A",0
963,1,72,0,0.918907," ","integrate(x^6*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(a b n x + {\left(b^{2} n + b^{2}\right)} x^{2} - a^{2}\right)} \sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{{\left(b^{2} c^{3} n^{2} + 3 \, b^{2} c^{3} n + 2 \, b^{2} c^{3}\right)} x}"," ",0,"(a*b*n*x + (b^2*n + b^2)*x^2 - a^2)*sqrt(c*x^2)*(b*x + a)^n/((b^2*c^3*n^2 + 3*b^2*c^3*n + 2*b^2*c^3)*x)","A",0
964,1,37,0,1.488188," ","integrate(x^5*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(b x + a\right)} {\left(b x + a\right)}^{n}}{{\left(b c^{3} n + b c^{3}\right)} x}"," ",0,"sqrt(c*x^2)*(b*x + a)*(b*x + a)^n/((b*c^3*n + b*c^3)*x)","A",0
965,0,0,0,1.228028," ","integrate(x^4*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{c^{3} x^{2}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/(c^3*x^2), x)","F",0
966,0,0,0,1.260263," ","integrate(x^3*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{c^{3} x^{3}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/(c^3*x^3), x)","F",0
967,0,0,0,1.460705," ","integrate(x^2*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{c^{3} x^{4}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/(c^3*x^4), x)","F",0
968,0,0,0,1.562840," ","integrate(x*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{c^{3} x^{5}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n/(c^3*x^5), x)","F",0
969,1,58,0,1.412199," ","integrate((d*x)^m*(c*x^2)^(5/2)*(b*x+a),x, algorithm=""fricas"")","\frac{{\left({\left(b c^{2} m + 6 \, b c^{2}\right)} x^{6} + {\left(a c^{2} m + 7 \, a c^{2}\right)} x^{5}\right)} \sqrt{c x^{2}} \left(d x\right)^{m}}{m^{2} + 13 \, m + 42}"," ",0,"((b*c^2*m + 6*b*c^2)*x^6 + (a*c^2*m + 7*a*c^2)*x^5)*sqrt(c*x^2)*(d*x)^m/(m^2 + 13*m + 42)","A",0
970,1,50,0,1.493585," ","integrate((d*x)^m*(c*x^2)^(3/2)*(b*x+a),x, algorithm=""fricas"")","\frac{{\left({\left(b c m + 4 \, b c\right)} x^{4} + {\left(a c m + 5 \, a c\right)} x^{3}\right)} \sqrt{c x^{2}} \left(d x\right)^{m}}{m^{2} + 9 \, m + 20}"," ",0,"((b*c*m + 4*b*c)*x^4 + (a*c*m + 5*a*c)*x^3)*sqrt(c*x^2)*(d*x)^m/(m^2 + 9*m + 20)","A",0
971,1,44,0,1.519722," ","integrate((d*x)^m*(c*x^2)^(1/2)*(b*x+a),x, algorithm=""fricas"")","\frac{{\left({\left(b m + 2 \, b\right)} x^{2} + {\left(a m + 3 \, a\right)} x\right)} \sqrt{c x^{2}} \left(d x\right)^{m}}{m^{2} + 5 \, m + 6}"," ",0,"((b*m + 2*b)*x^2 + (a*m + 3*a)*x)*sqrt(c*x^2)*(d*x)^m/(m^2 + 5*m + 6)","A",0
972,1,36,0,0.750980," ","integrate((d*x)^m*(b*x+a)/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(b m x + a m + a\right)} \sqrt{c x^{2}} \left(d x\right)^{m}}{{\left(c m^{2} + c m\right)} x}"," ",0,"(b*m*x + a*m + a)*sqrt(c*x^2)*(d*x)^m/((c*m^2 + c*m)*x)","A",0
973,1,53,0,1.059923," ","integrate((d*x)^m*(b*x+a)/(c*x^2)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(a m + {\left(b m - 2 \, b\right)} x - a\right)} \left(d x\right)^{m}}{{\left(c^{2} m^{2} - 3 \, c^{2} m + 2 \, c^{2}\right)} x^{3}}"," ",0,"sqrt(c*x^2)*(a*m + (b*m - 2*b)*x - a)*(d*x)^m/((c^2*m^2 - 3*c^2*m + 2*c^2)*x^3)","A",0
974,1,53,0,1.209198," ","integrate((d*x)^m*(b*x+a)/(c*x^2)^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2}} {\left(a m + {\left(b m - 4 \, b\right)} x - 3 \, a\right)} \left(d x\right)^{m}}{{\left(c^{3} m^{2} - 7 \, c^{3} m + 12 \, c^{3}\right)} x^{5}}"," ",0,"sqrt(c*x^2)*(a*m + (b*m - 4*b)*x - 3*a)*(d*x)^m/((c^3*m^2 - 7*c^3*m + 12*c^3)*x^5)","A",0
975,1,123,0,1.275558," ","integrate((d*x)^m*(c*x^2)^(5/2)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} c^{2} m^{2} + 13 \, b^{2} c^{2} m + 42 \, b^{2} c^{2}\right)} x^{7} + 2 \, {\left(a b c^{2} m^{2} + 14 \, a b c^{2} m + 48 \, a b c^{2}\right)} x^{6} + {\left(a^{2} c^{2} m^{2} + 15 \, a^{2} c^{2} m + 56 \, a^{2} c^{2}\right)} x^{5}\right)} \sqrt{c x^{2}} \left(d x\right)^{m}}{m^{3} + 21 \, m^{2} + 146 \, m + 336}"," ",0,"((b^2*c^2*m^2 + 13*b^2*c^2*m + 42*b^2*c^2)*x^7 + 2*(a*b*c^2*m^2 + 14*a*b*c^2*m + 48*a*b*c^2)*x^6 + (a^2*c^2*m^2 + 15*a^2*c^2*m + 56*a^2*c^2)*x^5)*sqrt(c*x^2)*(d*x)^m/(m^3 + 21*m^2 + 146*m + 336)","A",0
976,1,105,0,1.420413," ","integrate((d*x)^m*(c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} c m^{2} + 9 \, b^{2} c m + 20 \, b^{2} c\right)} x^{5} + 2 \, {\left(a b c m^{2} + 10 \, a b c m + 24 \, a b c\right)} x^{4} + {\left(a^{2} c m^{2} + 11 \, a^{2} c m + 30 \, a^{2} c\right)} x^{3}\right)} \sqrt{c x^{2}} \left(d x\right)^{m}}{m^{3} + 15 \, m^{2} + 74 \, m + 120}"," ",0,"((b^2*c*m^2 + 9*b^2*c*m + 20*b^2*c)*x^5 + 2*(a*b*c*m^2 + 10*a*b*c*m + 24*a*b*c)*x^4 + (a^2*c*m^2 + 11*a^2*c*m + 30*a^2*c)*x^3)*sqrt(c*x^2)*(d*x)^m/(m^3 + 15*m^2 + 74*m + 120)","A",0
977,1,94,0,1.545842," ","integrate((d*x)^m*(c*x^2)^(1/2)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} m^{2} + 5 \, b^{2} m + 6 \, b^{2}\right)} x^{3} + 2 \, {\left(a b m^{2} + 6 \, a b m + 8 \, a b\right)} x^{2} + {\left(a^{2} m^{2} + 7 \, a^{2} m + 12 \, a^{2}\right)} x\right)} \sqrt{c x^{2}} \left(d x\right)^{m}}{m^{3} + 9 \, m^{2} + 26 \, m + 24}"," ",0,"((b^2*m^2 + 5*b^2*m + 6*b^2)*x^3 + 2*(a*b*m^2 + 6*a*b*m + 8*a*b)*x^2 + (a^2*m^2 + 7*a^2*m + 12*a^2)*x)*sqrt(c*x^2)*(d*x)^m/(m^3 + 9*m^2 + 26*m + 24)","A",0
978,1,85,0,1.184504," ","integrate((d*x)^m*(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left(a^{2} m^{2} + 3 \, a^{2} m + {\left(b^{2} m^{2} + b^{2} m\right)} x^{2} + 2 \, a^{2} + 2 \, {\left(a b m^{2} + 2 \, a b m\right)} x\right)} \sqrt{c x^{2}} \left(d x\right)^{m}}{{\left(c m^{3} + 3 \, c m^{2} + 2 \, c m\right)} x}"," ",0,"(a^2*m^2 + 3*a^2*m + (b^2*m^2 + b^2*m)*x^2 + 2*a^2 + 2*(a*b*m^2 + 2*a*b*m)*x)*sqrt(c*x^2)*(d*x)^m/((c*m^3 + 3*c*m^2 + 2*c*m)*x)","A",0
979,1,92,0,1.307876," ","integrate((d*x)^m*(b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(a^{2} m^{2} - a^{2} m + {\left(b^{2} m^{2} - 3 \, b^{2} m + 2 \, b^{2}\right)} x^{2} + 2 \, {\left(a b m^{2} - 2 \, a b m\right)} x\right)} \sqrt{c x^{2}} \left(d x\right)^{m}}{{\left(c^{2} m^{3} - 3 \, c^{2} m^{2} + 2 \, c^{2} m\right)} x^{3}}"," ",0,"(a^2*m^2 - a^2*m + (b^2*m^2 - 3*b^2*m + 2*b^2)*x^2 + 2*(a*b*m^2 - 2*a*b*m)*x)*sqrt(c*x^2)*(d*x)^m/((c^2*m^3 - 3*c^2*m^2 + 2*c^2*m)*x^3)","A",0
980,1,106,0,1.414560," ","integrate((d*x)^m*(b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(a^{2} m^{2} - 5 \, a^{2} m + {\left(b^{2} m^{2} - 7 \, b^{2} m + 12 \, b^{2}\right)} x^{2} + 6 \, a^{2} + 2 \, {\left(a b m^{2} - 6 \, a b m + 8 \, a b\right)} x\right)} \sqrt{c x^{2}} \left(d x\right)^{m}}{{\left(c^{3} m^{3} - 9 \, c^{3} m^{2} + 26 \, c^{3} m - 24 \, c^{3}\right)} x^{5}}"," ",0,"(a^2*m^2 - 5*a^2*m + (b^2*m^2 - 7*b^2*m + 12*b^2)*x^2 + 6*a^2 + 2*(a*b*m^2 - 6*a*b*m + 8*a*b)*x)*sqrt(c*x^2)*(d*x)^m/((c^3*m^3 - 9*c^3*m^2 + 26*c^3*m - 24*c^3)*x^5)","A",0
981,0,0,0,1.282447," ","integrate((d*x)^m*(c*x^2)^(5/2)*(b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c x^{2}} {\left(b x + a\right)}^{n} \left(d x\right)^{m} c^{2} x^{4}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n*(d*x)^m*c^2*x^4, x)","F",0
982,0,0,0,1.576455," ","integrate((d*x)^m*(c*x^2)^(3/2)*(b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c x^{2}} {\left(b x + a\right)}^{n} \left(d x\right)^{m} c x^{2}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n*(d*x)^m*c*x^2, x)","F",0
983,0,0,0,1.470581," ","integrate((d*x)^m*(c*x^2)^(1/2)*(b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c x^{2}} {\left(b x + a\right)}^{n} \left(d x\right)^{m}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n*(d*x)^m, x)","F",0
984,0,0,0,1.274752," ","integrate((d*x)^m*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n} \left(d x\right)^{m}}{c x^{2}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n*(d*x)^m/(c*x^2), x)","F",0
985,0,0,0,1.388728," ","integrate((d*x)^m*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n} \left(d x\right)^{m}}{c^{2} x^{4}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n*(d*x)^m/(c^2*x^4), x)","F",0
986,0,0,0,1.297830," ","integrate((d*x)^m*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n} \left(d x\right)^{m}}{c^{3} x^{6}}, x\right)"," ",0,"integral(sqrt(c*x^2)*(b*x + a)^n*(d*x)^m/(c^3*x^6), x)","F",0
987,1,40,0,1.222875," ","integrate(x^3*(c*x^2)^p*(b*x+a)^(-5-2*p),x, algorithm=""fricas"")","\frac{{\left(b x^{5} + a x^{4}\right)} \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p - 5}}{2 \, {\left(a p + 2 \, a\right)}}"," ",0,"1/2*(b*x^5 + a*x^4)*(c*x^2)^p*(b*x + a)^(-2*p - 5)/(a*p + 2*a)","A",0
988,1,40,0,1.227124," ","integrate(x^2*(c*x^2)^p*(b*x+a)^(-4-2*p),x, algorithm=""fricas"")","\frac{{\left(b x^{4} + a x^{3}\right)} \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p - 4}}{2 \, a p + 3 \, a}"," ",0,"(b*x^4 + a*x^3)*(c*x^2)^p*(b*x + a)^(-2*p - 4)/(2*a*p + 3*a)","A",0
989,1,38,0,1.507529," ","integrate(x*(c*x^2)^p*(b*x+a)^(-3-2*p),x, algorithm=""fricas"")","\frac{{\left(b x^{3} + a x^{2}\right)} \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p - 3}}{2 \, {\left(a p + a\right)}}"," ",0,"1/2*(b*x^3 + a*x^2)*(c*x^2)^p*(b*x + a)^(-2*p - 3)/(a*p + a)","A",0
990,1,36,0,1.365780," ","integrate((c*x^2)^p*(b*x+a)^(-2-2*p),x, algorithm=""fricas"")","\frac{{\left(b x^{2} + a x\right)} \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p - 2}}{2 \, a p + a}"," ",0,"(b*x^2 + a*x)*(c*x^2)^p*(b*x + a)^(-2*p - 2)/(2*a*p + a)","A",0
991,1,31,0,1.180660," ","integrate((c*x^2)^p*(b*x+a)^(-1-2*p)/x,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p - 1}}{2 \, a p}"," ",0,"1/2*(b*x + a)*(c*x^2)^p*(b*x + a)^(-2*p - 1)/(a*p)","A",0
992,1,37,0,1.170323," ","integrate((c*x^2)^p/x^2/((b*x+a)^(2*p)),x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \left(c x^{2}\right)^{p}}{{\left(2 \, a p - a\right)} {\left(b x + a\right)}^{2 \, p} x}"," ",0,"(b*x + a)*(c*x^2)^p/((2*a*p - a)*(b*x + a)^(2*p)*x)","A",0
993,1,37,0,0.880989," ","integrate((c*x^2)^p*(b*x+a)^(1-2*p)/x^3,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p + 1}}{2 \, {\left(a p - a\right)} x^{2}}"," ",0,"1/2*(b*x + a)*(c*x^2)^p*(b*x + a)^(-2*p + 1)/((a*p - a)*x^2)","A",0
994,1,37,0,1.320234," ","integrate((c*x^2)^p*(b*x+a)^(2-2*p)/x^4,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p + 2}}{{\left(2 \, a p - 3 \, a\right)} x^{3}}"," ",0,"(b*x + a)*(c*x^2)^p*(b*x + a)^(-2*p + 2)/((2*a*p - 3*a)*x^3)","A",0
995,1,49,0,1.421929," ","integrate(x^m*(c*x^2)^p*(b*x+a)^(-2-m-2*p),x, algorithm=""fricas"")","\frac{{\left(b x^{2} + a x\right)} {\left(b x + a\right)}^{-m - 2 \, p - 2} x^{m} e^{\left(p \log\left(c\right) + 2 \, p \log\left(x\right)\right)}}{a m + 2 \, a p + a}"," ",0,"(b*x^2 + a*x)*(b*x + a)^(-m - 2*p - 2)*x^m*e^(p*log(c) + 2*p*log(x))/(a*m + 2*a*p + a)","A",0
996,1,57,0,1.356776," ","integrate((d*x)^m*(c*x^2)^p*(b*x+a)^(-2-m-2*p),x, algorithm=""fricas"")","\frac{{\left(b x^{2} + a x\right)} {\left(b x + a\right)}^{-m - 2 \, p - 2} \left(d x\right)^{m} e^{\left(2 \, p \log\left(d x\right) + p \log\left(\frac{c}{d^{2}}\right)\right)}}{a m + 2 \, a p + a}"," ",0,"(b*x^2 + a*x)*(b*x + a)^(-m - 2*p - 2)*(d*x)^m*e^(2*p*log(d*x) + p*log(c/d^2))/(a*m + 2*a*p + a)","A",0
997,0,0,0,0.988338," ","integrate(x^m*(c*x^2)^p*(b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(c x^{2}\right)^{p} {\left(b x + a\right)}^{n} x^{m}, x\right)"," ",0,"integral((c*x^2)^p*(b*x + a)^n*x^m, x)","F",0
998,0,0,0,1.273959," ","integrate((d*x)^m*(c*x^2)^p*(b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(c x^{2}\right)^{p} {\left(b x + a\right)}^{n} \left(d x\right)^{m}, x\right)"," ",0,"integral((c*x^2)^p*(b*x + a)^n*(d*x)^m, x)","F",0
999,1,31,0,1.189384," ","integrate((b*x+a)^5/(a*d/b+d*x)^3,x, algorithm=""fricas"")","\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
1000,1,20,0,1.254825," ","integrate((b*x+a)^4/(a*d/b+d*x)^3,x, algorithm=""fricas"")","\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
1001,1,8,0,1.353246," ","integrate((b*x+a)^3/(a*d/b+d*x)^3,x, algorithm=""fricas"")","\frac{b^{3} x}{d^{3}}"," ",0,"b^3*x/d^3","A",0
1002,1,13,0,1.217736," ","integrate((b*x+a)^2/(a*d/b+d*x)^3,x, algorithm=""fricas"")","\frac{b^{2} \log\left(b x + a\right)}{d^{3}}"," ",0,"b^2*log(b*x + a)/d^3","A",0
1003,1,19,0,1.344242," ","integrate((b*x+a)/(a*d/b+d*x)^3,x, algorithm=""fricas"")","-\frac{b^{2}}{b d^{3} x + a d^{3}}"," ",0,"-b^2/(b*d^3*x + a*d^3)","A",0
1004,1,47,0,1.328677," ","integrate(1/(b*x+a)/(a*d/b+d*x)^3,x, algorithm=""fricas"")","-\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
1005,1,61,0,1.357757," ","integrate(1/(b*x+a)^2/(a*d/b+d*x)^3,x, algorithm=""fricas"")","-\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
1006,1,75,0,0.879182," ","integrate(1/(b*x+a)^3/(a*d/b+d*x)^3,x, algorithm=""fricas"")","-\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
1007,1,35,0,1.250668," ","integrate((b*c/d+b*x)^5/(d*x+c)^3,x, algorithm=""fricas"")","\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
1008,1,21,0,1.255881," ","integrate((b*c/d+b*x)^4/(d*x+c)^3,x, algorithm=""fricas"")","\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
1009,1,8,0,1.188030," ","integrate((b*c/d+b*x)^3/(d*x+c)^3,x, algorithm=""fricas"")","\frac{b^{3} x}{d^{3}}"," ",0,"b^3*x/d^3","A",0
1010,1,13,0,1.274347," ","integrate((b*c/d+b*x)^2/(d*x+c)^3,x, algorithm=""fricas"")","\frac{b^{2} \log\left(d x + c\right)}{d^{3}}"," ",0,"b^2*log(d*x + c)/d^3","A",0
1011,1,16,0,1.198937," ","integrate((b*c/d+b*x)/(d*x+c)^3,x, algorithm=""fricas"")","-\frac{b}{d^{3} x + c d^{2}}"," ",0,"-b/(d^3*x + c*d^2)","A",0
1012,1,36,0,1.285560," ","integrate(1/(b*c/d+b*x)/(d*x+c)^3,x, algorithm=""fricas"")","-\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
1013,1,59,0,1.307913," ","integrate(1/(b*c/d+b*x)^2/(d*x+c)^3,x, algorithm=""fricas"")","-\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
1014,1,75,0,1.364041," ","integrate(1/(b*c/d+b*x)^3/(d*x+c)^3,x, algorithm=""fricas"")","-\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
1015,1,80,0,0.999022," ","integrate((b*x+a)^5*(b*c*x+a*c)^n,x, algorithm=""fricas"")","\frac{{\left(b^{6} x^{6} + 6 \, a b^{5} x^{5} + 15 \, a^{2} b^{4} x^{4} + 20 \, a^{3} b^{3} x^{3} + 15 \, a^{4} b^{2} x^{2} + 6 \, a^{5} b x + a^{6}\right)} {\left(b c x + a c\right)}^{n}}{b n + 6 \, b}"," ",0,"(b^6*x^6 + 6*a*b^5*x^5 + 15*a^2*b^4*x^4 + 20*a^3*b^3*x^3 + 15*a^4*b^2*x^2 + 6*a^5*b*x + a^6)*(b*c*x + a*c)^n/(b*n + 6*b)","B",0
1016,1,113,0,1.247045," ","integrate((b*x+a)^5*(b*c*x+a*c)^3,x, algorithm=""fricas"")","\frac{1}{9} x^{9} c^{3} b^{8} + x^{8} c^{3} b^{7} a + 4 x^{7} c^{3} b^{6} a^{2} + \frac{28}{3} x^{6} c^{3} b^{5} a^{3} + 14 x^{5} c^{3} b^{4} a^{4} + 14 x^{4} c^{3} b^{3} a^{5} + \frac{28}{3} x^{3} c^{3} b^{2} a^{6} + 4 x^{2} c^{3} b a^{7} + x c^{3} a^{8}"," ",0,"1/9*x^9*c^3*b^8 + x^8*c^3*b^7*a + 4*x^7*c^3*b^6*a^2 + 28/3*x^6*c^3*b^5*a^3 + 14*x^5*c^3*b^4*a^4 + 14*x^4*c^3*b^3*a^5 + 28/3*x^3*c^3*b^2*a^6 + 4*x^2*c^3*b*a^7 + x*c^3*a^8","B",0
1017,1,99,0,0.982110," ","integrate((b*x+a)^5*(b*c*x+a*c)^2,x, algorithm=""fricas"")","\frac{1}{8} x^{8} c^{2} b^{7} + x^{7} c^{2} b^{6} a + \frac{7}{2} x^{6} c^{2} b^{5} a^{2} + 7 x^{5} c^{2} b^{4} a^{3} + \frac{35}{4} x^{4} c^{2} b^{3} a^{4} + 7 x^{3} c^{2} b^{2} a^{5} + \frac{7}{2} x^{2} c^{2} b a^{6} + x c^{2} a^{7}"," ",0,"1/8*x^8*c^2*b^7 + x^7*c^2*b^6*a + 7/2*x^6*c^2*b^5*a^2 + 7*x^5*c^2*b^4*a^3 + 35/4*x^4*c^2*b^3*a^4 + 7*x^3*c^2*b^2*a^5 + 7/2*x^2*c^2*b*a^6 + x*c^2*a^7","B",0
1018,1,71,0,1.274509," ","integrate((b*x+a)^5*(b*c*x+a*c),x, algorithm=""fricas"")","\frac{1}{7} x^{7} c b^{6} + x^{6} c b^{5} a + 3 x^{5} c b^{4} a^{2} + 5 x^{4} c b^{3} a^{3} + 5 x^{3} c b^{2} a^{4} + 3 x^{2} c b a^{5} + x c a^{6}"," ",0,"1/7*x^7*c*b^6 + x^6*c*b^5*a + 3*x^5*c*b^4*a^2 + 5*x^4*c*b^3*a^3 + 5*x^3*c*b^2*a^4 + 3*x^2*c*b*a^5 + x*c*a^6","B",0
1019,1,48,0,1.102681," ","integrate((b*x+a)^5/(b*c*x+a*c),x, algorithm=""fricas"")","\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
1020,1,37,0,1.183213," ","integrate((b*x+a)^5/(b*c*x+a*c)^2,x, algorithm=""fricas"")","\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
1021,1,26,0,0.708988," ","integrate((b*x+a)^5/(b*c*x+a*c)^3,x, algorithm=""fricas"")","\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
1022,1,15,0,1.357919," ","integrate((b*x+a)^5/(b*c*x+a*c)^4,x, algorithm=""fricas"")","\frac{b x^{2} + 2 \, a x}{2 \, c^{4}}"," ",0,"1/2*(b*x^2 + 2*a*x)/c^4","A",0
1023,1,5,0,1.219271," ","integrate((b*x+a)^5/(b*c*x+a*c)^5,x, algorithm=""fricas"")","\frac{x}{c^{5}}"," ",0,"x/c^5","A",0
1024,1,13,0,1.328598," ","integrate((b*x+a)^5/(b*c*x+a*c)^6,x, algorithm=""fricas"")","\frac{\log\left(b x + a\right)}{b c^{6}}"," ",0,"log(b*x + a)/(b*c^6)","A",0
1025,1,19,0,1.216082," ","integrate((b*x+a)^5/(b*c*x+a*c)^7,x, algorithm=""fricas"")","-\frac{1}{b^{2} c^{7} x + a b c^{7}}"," ",0,"-1/(b^2*c^7*x + a*b*c^7)","A",0
1026,1,33,0,1.362349," ","integrate((b*x+a)^5/(b*c*x+a*c)^8,x, algorithm=""fricas"")","-\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
1027,1,1,0,1.266828," ","integrate(1/(-2-3*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""fricas"")","0"," ",0,"0","A",0
1028,1,44,0,1.290369," ","integrate((b*x+a)*(-b*c*x+a*c)^3,x, algorithm=""fricas"")","-\frac{1}{5} x^{5} c^{3} b^{4} + \frac{1}{2} x^{4} c^{3} b^{3} a - x^{2} c^{3} b a^{3} + x c^{3} a^{4}"," ",0,"-1/5*x^5*c^3*b^4 + 1/2*x^4*c^3*b^3*a - x^2*c^3*b*a^3 + x*c^3*a^4","A",0
1029,1,44,0,0.729441," ","integrate((b*x+a)*(-b*c*x+a*c)^2,x, algorithm=""fricas"")","\frac{1}{4} x^{4} c^{2} b^{3} - \frac{1}{3} x^{3} c^{2} b^{2} a - \frac{1}{2} x^{2} c^{2} b a^{2} + x c^{2} a^{3}"," ",0,"1/4*x^4*c^2*b^3 - 1/3*x^3*c^2*b^2*a - 1/2*x^2*c^2*b*a^2 + x*c^2*a^3","A",0
1030,1,16,0,1.034245," ","integrate((b*x+a)*(-b*c*x+a*c),x, algorithm=""fricas"")","-\frac{1}{3} x^{3} c b^{2} + x c a^{2}"," ",0,"-1/3*x^3*c*b^2 + x*c*a^2","A",0
1031,1,10,0,1.067519," ","integrate(b*x+a,x, algorithm=""fricas"")","\frac{1}{2} x^{2} b + x a"," ",0,"1/2*x^2*b + x*a","A",0
1032,1,23,0,1.305298," ","integrate((b*x+a)/(-b*c*x+a*c),x, algorithm=""fricas"")","-\frac{b x + 2 \, a \log\left(b x - a\right)}{b c}"," ",0,"-(b*x + 2*a*log(b*x - a))/(b*c)","A",0
1033,1,39,0,1.247150," ","integrate((b*x+a)/(-b*c*x+a*c)^2,x, algorithm=""fricas"")","\frac{{\left(b x - a\right)} \log\left(b x - a\right) - 2 \, a}{b^{2} c^{2} x - a b c^{2}}"," ",0,"((b*x - a)*log(b*x - a) - 2*a)/(b^2*c^2*x - a*b*c^2)","A",0
1034,1,30,0,0.678670," ","integrate((b*x+a)/(-b*c*x+a*c)^3,x, algorithm=""fricas"")","\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
1035,1,54,0,1.241736," ","integrate((b*x+a)/(-b*c*x+a*c)^4,x, algorithm=""fricas"")","-\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
1036,1,67,0,1.408017," ","integrate((b*x+a)/(-b*c*x+a*c)^5,x, algorithm=""fricas"")","\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
1037,1,84,0,1.214886," ","integrate((b*x+a)/(-b*c*x+a*c)^6,x, algorithm=""fricas"")","-\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
1038,1,72,0,1.139849," ","integrate((b*x+a)^2*(-b*c*x+a*c)^3,x, algorithm=""fricas"")","-\frac{1}{6} x^{6} c^{3} b^{5} + \frac{1}{5} x^{5} c^{3} b^{4} a + \frac{1}{2} x^{4} c^{3} b^{3} a^{2} - \frac{2}{3} x^{3} c^{3} b^{2} a^{3} - \frac{1}{2} x^{2} c^{3} b a^{4} + x c^{3} a^{5}"," ",0,"-1/6*x^6*c^3*b^5 + 1/5*x^5*c^3*b^4*a + 1/2*x^4*c^3*b^3*a^2 - 2/3*x^3*c^3*b^2*a^3 - 1/2*x^2*c^3*b*a^4 + x*c^3*a^5","A",0
1039,1,34,0,0.486191," ","integrate((b*x+a)^2*(-b*c*x+a*c)^2,x, algorithm=""fricas"")","\frac{1}{5} x^{5} c^{2} b^{4} - \frac{2}{3} x^{3} c^{2} b^{2} a^{2} + x c^{2} a^{4}"," ",0,"1/5*x^5*c^2*b^4 - 2/3*x^3*c^2*b^2*a^2 + x*c^2*a^4","A",0
1040,1,36,0,1.128632," ","integrate((b*x+a)^2*(-b*c*x+a*c),x, algorithm=""fricas"")","-\frac{1}{4} x^{4} c b^{3} - \frac{1}{3} x^{3} c b^{2} a + \frac{1}{2} x^{2} c b a^{2} + x c a^{3}"," ",0,"-1/4*x^4*c*b^3 - 1/3*x^3*c*b^2*a + 1/2*x^2*c*b*a^2 + x*c*a^3","A",0
1041,1,20,0,1.134442," ","integrate((b*x+a)^2,x, algorithm=""fricas"")","\frac{1}{3} x^{3} b^{2} + x^{2} b a + x a^{2}"," ",0,"1/3*x^3*b^2 + x^2*b*a + x*a^2","A",0
1042,1,34,0,1.226240," ","integrate((b*x+a)^2/(-b*c*x+a*c),x, algorithm=""fricas"")","-\frac{b^{2} x^{2} + 6 \, a b x + 8 \, a^{2} \log\left(b x - a\right)}{2 \, b c}"," ",0,"-1/2*(b^2*x^2 + 6*a*b*x + 8*a^2*log(b*x - a))/(b*c)","A",0
1043,1,57,0,0.602116," ","integrate((b*x+a)^2/(-b*c*x+a*c)^2,x, algorithm=""fricas"")","\frac{b^{2} x^{2} - a b x - 4 \, a^{2} + 4 \, {\left(a b x - a^{2}\right)} \log\left(b x - a\right)}{b^{2} c^{2} x - a b c^{2}}"," ",0,"(b^2*x^2 - a*b*x - 4*a^2 + 4*(a*b*x - a^2)*log(b*x - a))/(b^2*c^2*x - a*b*c^2)","A",0
1044,1,69,0,1.027519," ","integrate((b*x+a)^2/(-b*c*x+a*c)^3,x, algorithm=""fricas"")","\frac{4 \, a b x - 2 \, a^{2} - {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \log\left(b x - a\right)}{b^{3} c^{3} x^{2} - 2 \, a b^{2} c^{3} x + a^{2} b c^{3}}"," ",0,"(4*a*b*x - 2*a^2 - (b^2*x^2 - 2*a*b*x + a^2)*log(b*x - a))/(b^3*c^3*x^2 - 2*a*b^2*c^3*x + a^2*b*c^3)","A",0
1045,1,60,0,1.295395," ","integrate((b*x+a)^2/(-b*c*x+a*c)^4,x, algorithm=""fricas"")","-\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
1046,1,78,0,1.155808," ","integrate((b*x+a)^2/(-b*c*x+a*c)^5,x, algorithm=""fricas"")","\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
1047,1,95,0,1.191076," ","integrate((b*x+a)^2/(-b*c*x+a*c)^6,x, algorithm=""fricas"")","-\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
1048,1,108,0,0.990267," ","integrate((b*x+a)^2/(-b*c*x+a*c)^7,x, algorithm=""fricas"")","\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
1049,1,52,0,1.371913," ","integrate((-b*c*x+a*c)^3/(b*x+a),x, algorithm=""fricas"")","-\frac{b^{3} c^{3} x^{3} - 6 \, a b^{2} c^{3} x^{2} + 21 \, a^{2} b c^{3} x - 24 \, a^{3} c^{3} \log\left(b x + a\right)}{3 \, b}"," ",0,"-1/3*(b^3*c^3*x^3 - 6*a*b^2*c^3*x^2 + 21*a^2*b*c^3*x - 24*a^3*c^3*log(b*x + a))/b","A",0
1050,1,38,0,1.228440," ","integrate((-b*c*x+a*c)^2/(b*x+a),x, algorithm=""fricas"")","\frac{b^{2} c^{2} x^{2} - 6 \, a b c^{2} x + 8 \, a^{2} c^{2} \log\left(b x + a\right)}{2 \, b}"," ",0,"1/2*(b^2*c^2*x^2 - 6*a*b*c^2*x + 8*a^2*c^2*log(b*x + a))/b","A",0
1051,1,20,0,1.348374," ","integrate((-b*c*x+a*c)/(b*x+a),x, algorithm=""fricas"")","-\frac{b c x - 2 \, a c \log\left(b x + a\right)}{b}"," ",0,"-(b*c*x - 2*a*c*log(b*x + a))/b","A",0
1052,1,10,0,1.157094," ","integrate(1/(b*x+a),x, algorithm=""fricas"")","\frac{\log\left(b x + a\right)}{b}"," ",0,"log(b*x + a)/b","A",0
1053,1,28,0,1.228272," ","integrate(1/(b*x+a)/(-b*c*x+a*c),x, algorithm=""fricas"")","\frac{\log\left(b x + a\right) - \log\left(b x - a\right)}{2 \, a b c}"," ",0,"1/2*(log(b*x + a) - log(b*x - a))/(a*b*c)","A",0
1054,1,60,0,1.409672," ","integrate(1/(b*x+a)/(-b*c*x+a*c)^2,x, algorithm=""fricas"")","\frac{{\left(b x - a\right)} \log\left(b x + a\right) - {\left(b x - a\right)} \log\left(b x - a\right) - 2 \, a}{4 \, {\left(a^{2} b^{2} c^{2} x - a^{3} b c^{2}\right)}}"," ",0,"1/4*((b*x - a)*log(b*x + a) - (b*x - a)*log(b*x - a) - 2*a)/(a^2*b^2*c^2*x - a^3*b*c^2)","A",0
1055,1,98,0,1.489034," ","integrate(1/(b*x+a)/(-b*c*x+a*c)^3,x, algorithm=""fricas"")","-\frac{2 \, a b x - 4 \, a^{2} - {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \log\left(b x + a\right) + {\left(b^{2} x^{2} - 2 \, a b x + a^{2}\right)} \log\left(b x - a\right)}{8 \, {\left(a^{3} b^{3} c^{3} x^{2} - 2 \, a^{4} b^{2} c^{3} x + a^{5} b c^{3}\right)}}"," ",0,"-1/8*(2*a*b*x - 4*a^2 - (b^2*x^2 - 2*a*b*x + a^2)*log(b*x + a) + (b^2*x^2 - 2*a*b*x + a^2)*log(b*x - a))/(a^3*b^3*c^3*x^2 - 2*a^4*b^2*c^3*x + a^5*b*c^3)","A",0
1056,1,79,0,0.767329," ","integrate((-b*c*x+a*c)^3/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{b^{3} c^{3} x^{3} - 9 \, a b^{2} c^{3} x^{2} - 10 \, a^{2} b c^{3} x + 16 \, a^{3} c^{3} + 24 \, {\left(a^{2} b c^{3} x + a^{3} c^{3}\right)} \log\left(b x + a\right)}{2 \, {\left(b^{2} x + a b\right)}}"," ",0,"-1/2*(b^3*c^3*x^3 - 9*a*b^2*c^3*x^2 - 10*a^2*b*c^3*x + 16*a^3*c^3 + 24*(a^2*b*c^3*x + a^3*c^3)*log(b*x + a))/(b^2*x + a*b)","A",0
1057,1,61,0,1.254167," ","integrate((-b*c*x+a*c)^2/(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{2} c^{2} x^{2} + a b c^{2} x - 4 \, a^{2} c^{2} - 4 \, {\left(a b c^{2} x + a^{2} c^{2}\right)} \log\left(b x + a\right)}{b^{2} x + a b}"," ",0,"(b^2*c^2*x^2 + a*b*c^2*x - 4*a^2*c^2 - 4*(a*b*c^2*x + a^2*c^2)*log(b*x + a))/(b^2*x + a*b)","A",0
1058,1,33,0,1.187777," ","integrate((-b*c*x+a*c)/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, a c + {\left(b c x + a c\right)} \log\left(b x + a\right)}{b^{2} x + a b}"," ",0,"-(2*a*c + (b*c*x + a*c)*log(b*x + a))/(b^2*x + a*b)","A",0
1059,1,13,0,1.277513," ","integrate(1/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{1}{b^{2} x + a b}"," ",0,"-1/(b^2*x + a*b)","A",0
1060,1,51,0,1.011298," ","integrate(1/(b*x+a)^2/(-b*c*x+a*c),x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \log\left(b x + a\right) - {\left(b x + a\right)} \log\left(b x - a\right) - 2 \, a}{4 \, {\left(a^{2} b^{2} c x + a^{3} b c\right)}}"," ",0,"1/4*((b*x + a)*log(b*x + a) - (b*x + a)*log(b*x - a) - 2*a)/(a^2*b^2*c*x + a^3*b*c)","A",0
1061,1,76,0,1.154145," ","integrate(1/(b*x+a)^2/(-b*c*x+a*c)^2,x, algorithm=""fricas"")","-\frac{2 \, a b x - {\left(b^{2} x^{2} - a^{2}\right)} \log\left(b x + a\right) + {\left(b^{2} x^{2} - a^{2}\right)} \log\left(b x - a\right)}{4 \, {\left(a^{3} b^{3} c^{2} x^{2} - a^{5} b c^{2}\right)}}"," ",0,"-1/4*(2*a*b*x - (b^2*x^2 - a^2)*log(b*x + a) + (b^2*x^2 - a^2)*log(b*x - a))/(a^3*b^3*c^2*x^2 - a^5*b*c^2)","A",0
1062,1,146,0,1.172085," ","integrate(1/(b*x+a)^2/(-b*c*x+a*c)^3,x, algorithm=""fricas"")","-\frac{6 \, a b^{2} x^{2} - 6 \, a^{2} b x - 4 \, a^{3} - 3 \, {\left(b^{3} x^{3} - a b^{2} x^{2} - a^{2} b x + a^{3}\right)} \log\left(b x + a\right) + 3 \, {\left(b^{3} x^{3} - a b^{2} x^{2} - a^{2} b x + a^{3}\right)} \log\left(b x - a\right)}{16 \, {\left(a^{4} b^{4} c^{3} x^{3} - a^{5} b^{3} c^{3} x^{2} - a^{6} b^{2} c^{3} x + a^{7} b c^{3}\right)}}"," ",0,"-1/16*(6*a*b^2*x^2 - 6*a^2*b*x - 4*a^3 - 3*(b^3*x^3 - a*b^2*x^2 - a^2*b*x + a^3)*log(b*x + a) + 3*(b^3*x^3 - a*b^2*x^2 - a^2*b*x + a^3)*log(b*x - a))/(a^4*b^4*c^3*x^3 - a^5*b^3*c^3*x^2 - a^6*b^2*c^3*x + a^7*b*c^3)","A",0
1063,1,62,0,0.760718," ","integrate((1-x)^(9/2)*(1+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{240} \, {\left(40 \, x^{5} - 192 \, x^{4} + 350 \, x^{3} - 256 \, x^{2} - 75 \, x + 448\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{21}{8} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"1/240*(40*x^5 - 192*x^4 + 350*x^3 - 256*x^2 - 75*x + 448)*sqrt(x + 1)*sqrt(-x + 1) - 21/8*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1064,1,57,0,1.317771," ","integrate((1-x)^(7/2)*(1+x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{120} \, {\left(24 \, x^{4} - 90 \, x^{3} + 112 \, x^{2} - 15 \, x - 136\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{7}{4} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-1/120*(24*x^4 - 90*x^3 + 112*x^2 - 15*x - 136)*sqrt(x + 1)*sqrt(-x + 1) - 7/4*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1065,1,52,0,1.357645," ","integrate((1-x)^(5/2)*(1+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{24} \, {\left(6 \, x^{3} - 16 \, x^{2} + 9 \, x + 16\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{5}{4} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"1/24*(6*x^3 - 16*x^2 + 9*x + 16)*sqrt(x + 1)*sqrt(-x + 1) - 5/4*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1066,1,47,0,1.356321," ","integrate((1-x)^(3/2)*(1+x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{6} \, {\left(2 \, x^{2} - 3 \, x - 2\right)} \sqrt{x + 1} \sqrt{-x + 1} - \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-1/6*(2*x^2 - 3*x - 2)*sqrt(x + 1)*sqrt(-x + 1) - arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1067,1,38,0,0.880804," ","integrate((1-x)^(1/2)*(1+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x + 1} x \sqrt{-x + 1} - \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"1/2*sqrt(x + 1)*x*sqrt(-x + 1) - arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1068,1,37,0,1.114088," ","integrate((1+x)^(1/2)/(1-x)^(1/2),x, algorithm=""fricas"")","-\sqrt{x + 1} \sqrt{-x + 1} - 2 \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-sqrt(x + 1)*sqrt(-x + 1) - 2*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","B",0
1069,1,48,0,1.274527," ","integrate((1+x)^(1/2)/(1-x)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(x - 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) + x - \sqrt{x + 1} \sqrt{-x + 1} - 1\right)}}{x - 1}"," ",0,"2*((x - 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) + x - sqrt(x + 1)*sqrt(-x + 1) - 1)/(x - 1)","B",0
1070,1,33,0,1.254229," ","integrate((1+x)^(1/2)/(1-x)^(5/2),x, algorithm=""fricas"")","\frac{x^{2} + {\left(x + 1\right)}^{\frac{3}{2}} \sqrt{-x + 1} - 2 \, x + 1}{3 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"1/3*(x^2 + (x + 1)^(3/2)*sqrt(-x + 1) - 2*x + 1)/(x^2 - 2*x + 1)","B",0
1071,1,53,0,0.920340," ","integrate((1+x)^(1/2)/(1-x)^(7/2),x, algorithm=""fricas"")","\frac{4 \, x^{3} - 12 \, x^{2} + {\left(x^{2} - 3 \, x - 4\right)} \sqrt{x + 1} \sqrt{-x + 1} + 12 \, x - 4}{15 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}}"," ",0,"1/15*(4*x^3 - 12*x^2 + (x^2 - 3*x - 4)*sqrt(x + 1)*sqrt(-x + 1) + 12*x - 4)/(x^3 - 3*x^2 + 3*x - 1)","A",0
1072,1,70,0,1.171513," ","integrate((1+x)^(1/2)/(1-x)^(9/2),x, algorithm=""fricas"")","\frac{23 \, x^{4} - 92 \, x^{3} + 138 \, x^{2} + {\left(2 \, x^{3} - 8 \, x^{2} + 13 \, x + 23\right)} \sqrt{x + 1} \sqrt{-x + 1} - 92 \, x + 23}{105 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}}"," ",0,"1/105*(23*x^4 - 92*x^3 + 138*x^2 + (2*x^3 - 8*x^2 + 13*x + 23)*sqrt(x + 1)*sqrt(-x + 1) - 92*x + 23)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)","A",0
1073,1,85,0,1.308391," ","integrate((1+x)^(1/2)/(1-x)^(11/2),x, algorithm=""fricas"")","\frac{58 \, x^{5} - 290 \, x^{4} + 580 \, x^{3} - 580 \, x^{2} + {\left(2 \, x^{4} - 10 \, x^{3} + 21 \, x^{2} - 25 \, x - 58\right)} \sqrt{x + 1} \sqrt{-x + 1} + 290 \, x - 58}{315 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}}"," ",0,"1/315*(58*x^5 - 290*x^4 + 580*x^3 - 580*x^2 + (2*x^4 - 10*x^3 + 21*x^2 - 25*x - 58)*sqrt(x + 1)*sqrt(-x + 1) + 290*x - 58)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1)","A",0
1074,1,100,0,0.987866," ","integrate((1+x)^(1/2)/(1-x)^(13/2),x, algorithm=""fricas"")","\frac{547 \, x^{6} - 3282 \, x^{5} + 8205 \, x^{4} - 10940 \, x^{3} + 8205 \, x^{2} + {\left(8 \, x^{5} - 48 \, x^{4} + 124 \, x^{3} - 184 \, x^{2} + 183 \, x + 547\right)} \sqrt{x + 1} \sqrt{-x + 1} - 3282 \, x + 547}{3465 \, {\left(x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1\right)}}"," ",0,"1/3465*(547*x^6 - 3282*x^5 + 8205*x^4 - 10940*x^3 + 8205*x^2 + (8*x^5 - 48*x^4 + 124*x^3 - 184*x^2 + 183*x + 547)*sqrt(x + 1)*sqrt(-x + 1) - 3282*x + 547)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1)","A",0
1075,1,67,0,1.158612," ","integrate((1-x)^(9/2)*(1+x)^(3/2),x, algorithm=""fricas"")","\frac{1}{560} \, {\left(80 \, x^{6} - 280 \, x^{5} + 208 \, x^{4} + 350 \, x^{3} - 656 \, x^{2} + 245 \, x + 368\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{9}{8} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"1/560*(80*x^6 - 280*x^5 + 208*x^4 + 350*x^3 - 656*x^2 + 245*x + 368)*sqrt(x + 1)*sqrt(-x + 1) - 9/8*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1076,1,62,0,1.154269," ","integrate((1-x)^(7/2)*(1+x)^(3/2),x, algorithm=""fricas"")","-\frac{1}{240} \, {\left(40 \, x^{5} - 96 \, x^{4} - 10 \, x^{3} + 192 \, x^{2} - 135 \, x - 96\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{7}{8} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-1/240*(40*x^5 - 96*x^4 - 10*x^3 + 192*x^2 - 135*x - 96)*sqrt(x + 1)*sqrt(-x + 1) - 7/8*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1077,1,57,0,1.223604," ","integrate((1-x)^(5/2)*(1+x)^(3/2),x, algorithm=""fricas"")","\frac{1}{40} \, {\left(8 \, x^{4} - 10 \, x^{3} - 16 \, x^{2} + 25 \, x + 8\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{3}{4} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"1/40*(8*x^4 - 10*x^3 - 16*x^2 + 25*x + 8)*sqrt(x + 1)*sqrt(-x + 1) - 3/4*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1078,1,46,0,1.188802," ","integrate((1-x)^(3/2)*(1+x)^(3/2),x, algorithm=""fricas"")","-\frac{1}{8} \, {\left(2 \, x^{3} - 5 \, x\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{3}{4} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-1/8*(2*x^3 - 5*x)*sqrt(x + 1)*sqrt(-x + 1) - 3/4*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1079,1,47,0,1.279652," ","integrate((1-x)^(1/2)*(1+x)^(3/2),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(2 \, x^{2} + 3 \, x - 2\right)} \sqrt{x + 1} \sqrt{-x + 1} - \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"1/6*(2*x^2 + 3*x - 2)*sqrt(x + 1)*sqrt(-x + 1) - arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1080,1,40,0,1.238510," ","integrate((1+x)^(3/2)/(1-x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(x + 4\right)} \sqrt{x + 1} \sqrt{-x + 1} - 3 \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-1/2*(x + 4)*sqrt(x + 1)*sqrt(-x + 1) - 3*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1081,1,52,0,0.725027," ","integrate((1+x)^(3/2)/(1-x)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{x + 1} {\left(x - 5\right)} \sqrt{-x + 1} + 6 \, {\left(x - 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) + 5 \, x - 5}{x - 1}"," ",0,"(sqrt(x + 1)*(x - 5)*sqrt(-x + 1) + 6*(x - 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) + 5*x - 5)/(x - 1)","A",0
1082,1,71,0,1.311406," ","integrate((1+x)^(3/2)/(1-x)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, x^{2} - 2 \, {\left(2 \, x - 1\right)} \sqrt{x + 1} \sqrt{-x + 1} + 3 \, {\left(x^{2} - 2 \, x + 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) - 4 \, x + 2\right)}}{3 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"-2/3*(2*x^2 - 2*(2*x - 1)*sqrt(x + 1)*sqrt(-x + 1) + 3*(x^2 - 2*x + 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) - 4*x + 2)/(x^2 - 2*x + 1)","B",0
1083,1,52,0,0.996455," ","integrate((1+x)^(3/2)/(1-x)^(7/2),x, algorithm=""fricas"")","\frac{x^{3} - 3 \, x^{2} - {\left(x^{2} + 2 \, x + 1\right)} \sqrt{x + 1} \sqrt{-x + 1} + 3 \, x - 1}{5 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}}"," ",0,"1/5*(x^3 - 3*x^2 - (x^2 + 2*x + 1)*sqrt(x + 1)*sqrt(-x + 1) + 3*x - 1)/(x^3 - 3*x^2 + 3*x - 1)","B",0
1084,1,69,0,1.147718," ","integrate((1+x)^(3/2)/(1-x)^(9/2),x, algorithm=""fricas"")","\frac{6 \, x^{4} - 24 \, x^{3} + 36 \, x^{2} - {\left(x^{3} - 4 \, x^{2} - 11 \, x - 6\right)} \sqrt{x + 1} \sqrt{-x + 1} - 24 \, x + 6}{35 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}}"," ",0,"1/35*(6*x^4 - 24*x^3 + 36*x^2 - (x^3 - 4*x^2 - 11*x - 6)*sqrt(x + 1)*sqrt(-x + 1) - 24*x + 6)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)","B",0
1085,1,86,0,0.666248," ","integrate((1+x)^(3/2)/(1-x)^(11/2),x, algorithm=""fricas"")","\frac{47 \, x^{5} - 235 \, x^{4} + 470 \, x^{3} - 470 \, x^{2} - {\left(2 \, x^{4} - 10 \, x^{3} + 21 \, x^{2} + 80 \, x + 47\right)} \sqrt{x + 1} \sqrt{-x + 1} + 235 \, x - 47}{315 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}}"," ",0,"1/315*(47*x^5 - 235*x^4 + 470*x^3 - 470*x^2 - (2*x^4 - 10*x^3 + 21*x^2 + 80*x + 47)*sqrt(x + 1)*sqrt(-x + 1) + 235*x - 47)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1)","A",0
1086,1,101,0,1.532230," ","integrate((1+x)^(3/2)/(1-x)^(13/2),x, algorithm=""fricas"")","\frac{152 \, x^{6} - 912 \, x^{5} + 2280 \, x^{4} - 3040 \, x^{3} + 2280 \, x^{2} - {\left(2 \, x^{5} - 12 \, x^{4} + 31 \, x^{3} - 46 \, x^{2} - 243 \, x - 152\right)} \sqrt{x + 1} \sqrt{-x + 1} - 912 \, x + 152}{1155 \, {\left(x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1\right)}}"," ",0,"1/1155*(152*x^6 - 912*x^5 + 2280*x^4 - 3040*x^3 + 2280*x^2 - (2*x^5 - 12*x^4 + 31*x^3 - 46*x^2 - 243*x - 152)*sqrt(x + 1)*sqrt(-x + 1) - 912*x + 152)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1)","A",0
1087,1,116,0,1.225285," ","integrate((1+x)^(3/2)/(1-x)^(15/2),x, algorithm=""fricas"")","\frac{1763 \, x^{7} - 12341 \, x^{6} + 37023 \, x^{5} - 61705 \, x^{4} + 61705 \, x^{3} - 37023 \, x^{2} - {\left(8 \, x^{6} - 56 \, x^{5} + 172 \, x^{4} - 308 \, x^{3} + 367 \, x^{2} + 2674 \, x + 1763\right)} \sqrt{x + 1} \sqrt{-x + 1} + 12341 \, x - 1763}{15015 \, {\left(x^{7} - 7 \, x^{6} + 21 \, x^{5} - 35 \, x^{4} + 35 \, x^{3} - 21 \, x^{2} + 7 \, x - 1\right)}}"," ",0,"1/15015*(1763*x^7 - 12341*x^6 + 37023*x^5 - 61705*x^4 + 61705*x^3 - 37023*x^2 - (8*x^6 - 56*x^5 + 172*x^4 - 308*x^3 + 367*x^2 + 2674*x + 1763)*sqrt(x + 1)*sqrt(-x + 1) + 12341*x - 1763)/(x^7 - 7*x^6 + 21*x^5 - 35*x^4 + 35*x^3 - 21*x^2 + 7*x - 1)","A",0
1088,1,77,0,0.765345," ","integrate((1-x)^(11/2)*(1+x)^(5/2),x, algorithm=""fricas"")","-\frac{1}{8064} \, {\left(896 \, x^{8} - 3024 \, x^{7} + 1024 \, x^{6} + 7224 \, x^{5} - 8448 \, x^{4} - 3066 \, x^{3} + 10240 \, x^{2} - 4599 \, x - 3712\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{55}{64} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-1/8064*(896*x^8 - 3024*x^7 + 1024*x^6 + 7224*x^5 - 8448*x^4 - 3066*x^3 + 10240*x^2 - 4599*x - 3712)*sqrt(x + 1)*sqrt(-x + 1) - 55/64*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1089,1,72,0,1.155091," ","integrate((1-x)^(9/2)*(1+x)^(5/2),x, algorithm=""fricas"")","\frac{1}{896} \, {\left(112 \, x^{7} - 256 \, x^{6} - 168 \, x^{5} + 768 \, x^{4} - 210 \, x^{3} - 768 \, x^{2} + 581 \, x + 256\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{45}{64} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"1/896*(112*x^7 - 256*x^6 - 168*x^5 + 768*x^4 - 210*x^3 - 768*x^2 + 581*x + 256)*sqrt(x + 1)*sqrt(-x + 1) - 45/64*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1090,1,67,0,1.318856," ","integrate((1-x)^(7/2)*(1+x)^(5/2),x, algorithm=""fricas"")","-\frac{1}{336} \, {\left(48 \, x^{6} - 56 \, x^{5} - 144 \, x^{4} + 182 \, x^{3} + 144 \, x^{2} - 231 \, x - 48\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{5}{8} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-1/336*(48*x^6 - 56*x^5 - 144*x^4 + 182*x^3 + 144*x^2 - 231*x - 48)*sqrt(x + 1)*sqrt(-x + 1) - 5/8*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1091,1,51,0,1.292159," ","integrate((1-x)^(5/2)*(1+x)^(5/2),x, algorithm=""fricas"")","\frac{1}{48} \, {\left(8 \, x^{5} - 26 \, x^{3} + 33 \, x\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{5}{8} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"1/48*(8*x^5 - 26*x^3 + 33*x)*sqrt(x + 1)*sqrt(-x + 1) - 5/8*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1092,1,57,0,1.063863," ","integrate((1-x)^(3/2)*(1+x)^(5/2),x, algorithm=""fricas"")","-\frac{1}{40} \, {\left(8 \, x^{4} + 10 \, x^{3} - 16 \, x^{2} - 25 \, x + 8\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{3}{4} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-1/40*(8*x^4 + 10*x^3 - 16*x^2 - 25*x + 8)*sqrt(x + 1)*sqrt(-x + 1) - 3/4*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1093,1,52,0,1.129390," ","integrate((1-x)^(1/2)*(1+x)^(5/2),x, algorithm=""fricas"")","\frac{1}{24} \, {\left(6 \, x^{3} + 16 \, x^{2} + 9 \, x - 16\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{5}{4} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"1/24*(6*x^3 + 16*x^2 + 9*x - 16)*sqrt(x + 1)*sqrt(-x + 1) - 5/4*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1094,1,47,0,1.501933," ","integrate((1+x)^(5/2)/(1-x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{6} \, {\left(2 \, x^{2} + 9 \, x + 22\right)} \sqrt{x + 1} \sqrt{-x + 1} - 5 \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-1/6*(2*x^2 + 9*x + 22)*sqrt(x + 1)*sqrt(-x + 1) - 5*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1095,1,58,0,1.113091," ","integrate((1+x)^(5/2)/(1-x)^(3/2),x, algorithm=""fricas"")","\frac{{\left(x^{2} + 7 \, x - 24\right)} \sqrt{x + 1} \sqrt{-x + 1} + 30 \, {\left(x - 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) + 24 \, x - 24}{2 \, {\left(x - 1\right)}}"," ",0,"1/2*((x^2 + 7*x - 24)*sqrt(x + 1)*sqrt(-x + 1) + 30*(x - 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) + 24*x - 24)/(x - 1)","A",0
1096,1,75,0,0.705493," ","integrate((1+x)^(5/2)/(1-x)^(5/2),x, algorithm=""fricas"")","-\frac{23 \, x^{2} + {\left(3 \, x^{2} - 34 \, x + 23\right)} \sqrt{x + 1} \sqrt{-x + 1} + 30 \, {\left(x^{2} - 2 \, x + 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) - 46 \, x + 23}{3 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"-1/3*(23*x^2 + (3*x^2 - 34*x + 23)*sqrt(x + 1)*sqrt(-x + 1) + 30*(x^2 - 2*x + 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) - 46*x + 23)/(x^2 - 2*x + 1)","A",0
1097,1,91,0,1.180661," ","integrate((1+x)^(5/2)/(1-x)^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(13 \, x^{3} - 39 \, x^{2} - {\left(23 \, x^{2} - 24 \, x + 13\right)} \sqrt{x + 1} \sqrt{-x + 1} + 15 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) + 39 \, x - 13\right)}}{15 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}}"," ",0,"2/15*(13*x^3 - 39*x^2 - (23*x^2 - 24*x + 13)*sqrt(x + 1)*sqrt(-x + 1) + 15*(x^3 - 3*x^2 + 3*x - 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) + 39*x - 13)/(x^3 - 3*x^2 + 3*x - 1)","A",0
1098,1,66,0,1.300137," ","integrate((1+x)^(5/2)/(1-x)^(9/2),x, algorithm=""fricas"")","\frac{x^{4} - 4 \, x^{3} + 6 \, x^{2} + {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)} \sqrt{x + 1} \sqrt{-x + 1} - 4 \, x + 1}{7 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}}"," ",0,"1/7*(x^4 - 4*x^3 + 6*x^2 + (x^3 + 3*x^2 + 3*x + 1)*sqrt(x + 1)*sqrt(-x + 1) - 4*x + 1)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)","B",0
1099,1,83,0,1.061149," ","integrate((1+x)^(5/2)/(1-x)^(11/2),x, algorithm=""fricas"")","\frac{8 \, x^{5} - 40 \, x^{4} + 80 \, x^{3} - 80 \, x^{2} + {\left(x^{4} - 5 \, x^{3} - 21 \, x^{2} - 23 \, x - 8\right)} \sqrt{x + 1} \sqrt{-x + 1} + 40 \, x - 8}{63 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}}"," ",0,"1/63*(8*x^5 - 40*x^4 + 80*x^3 - 80*x^2 + (x^4 - 5*x^3 - 21*x^2 - 23*x - 8)*sqrt(x + 1)*sqrt(-x + 1) + 40*x - 8)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1)","B",0
1100,1,100,0,0.973385," ","integrate((1+x)^(5/2)/(1-x)^(13/2),x, algorithm=""fricas"")","\frac{79 \, x^{6} - 474 \, x^{5} + 1185 \, x^{4} - 1580 \, x^{3} + 1185 \, x^{2} + {\left(2 \, x^{5} - 12 \, x^{4} + 31 \, x^{3} + 185 \, x^{2} + 219 \, x + 79\right)} \sqrt{x + 1} \sqrt{-x + 1} - 474 \, x + 79}{693 \, {\left(x^{6} - 6 \, x^{5} + 15 \, x^{4} - 20 \, x^{3} + 15 \, x^{2} - 6 \, x + 1\right)}}"," ",0,"1/693*(79*x^6 - 474*x^5 + 1185*x^4 - 1580*x^3 + 1185*x^2 + (2*x^5 - 12*x^4 + 31*x^3 + 185*x^2 + 219*x + 79)*sqrt(x + 1)*sqrt(-x + 1) - 474*x + 79)/(x^6 - 6*x^5 + 15*x^4 - 20*x^3 + 15*x^2 - 6*x + 1)","B",0
1101,1,115,0,1.308751," ","integrate((1+x)^(5/2)/(1-x)^(15/2),x, algorithm=""fricas"")","\frac{310 \, x^{7} - 2170 \, x^{6} + 6510 \, x^{5} - 10850 \, x^{4} + 10850 \, x^{3} - 6510 \, x^{2} + {\left(2 \, x^{6} - 14 \, x^{5} + 43 \, x^{4} - 77 \, x^{3} - 659 \, x^{2} - 833 \, x - 310\right)} \sqrt{x + 1} \sqrt{-x + 1} + 2170 \, x - 310}{3003 \, {\left(x^{7} - 7 \, x^{6} + 21 \, x^{5} - 35 \, x^{4} + 35 \, x^{3} - 21 \, x^{2} + 7 \, x - 1\right)}}"," ",0,"1/3003*(310*x^7 - 2170*x^6 + 6510*x^5 - 10850*x^4 + 10850*x^3 - 6510*x^2 + (2*x^6 - 14*x^5 + 43*x^4 - 77*x^3 - 659*x^2 - 833*x - 310)*sqrt(x + 1)*sqrt(-x + 1) + 2170*x - 310)/(x^7 - 7*x^6 + 21*x^5 - 35*x^4 + 35*x^3 - 21*x^2 + 7*x - 1)","B",0
1102,1,130,0,1.361215," ","integrate((1+x)^(5/2)/(1-x)^(17/2),x, algorithm=""fricas"")","\frac{4243 \, x^{8} - 33944 \, x^{7} + 118804 \, x^{6} - 237608 \, x^{5} + 297010 \, x^{4} - 237608 \, x^{3} + 118804 \, x^{2} + {\left(8 \, x^{7} - 64 \, x^{6} + 228 \, x^{5} - 480 \, x^{4} + 675 \, x^{3} + 8313 \, x^{2} + 11101 \, x + 4243\right)} \sqrt{x + 1} \sqrt{-x + 1} - 33944 \, x + 4243}{45045 \, {\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)}}"," ",0,"1/45045*(4243*x^8 - 33944*x^7 + 118804*x^6 - 237608*x^5 + 297010*x^4 - 237608*x^3 + 118804*x^2 + (8*x^7 - 64*x^6 + 228*x^5 - 480*x^4 + 675*x^3 + 8313*x^2 + 11101*x + 4243)*sqrt(x + 1)*sqrt(-x + 1) - 33944*x + 4243)/(x^8 - 8*x^7 + 28*x^6 - 56*x^5 + 70*x^4 - 56*x^3 + 28*x^2 - 8*x + 1)","A",0
1103,1,145,0,1.162296," ","integrate((1+x)^(5/2)/(1-x)^(19/2),x, algorithm=""fricas"")","\frac{13252 \, x^{9} - 119268 \, x^{8} + 477072 \, x^{7} - 1113168 \, x^{6} + 1669752 \, x^{5} - 1669752 \, x^{4} + 1113168 \, x^{3} - 477072 \, x^{2} + {\left(8 \, x^{8} - 72 \, x^{7} + 292 \, x^{6} - 708 \, x^{5} + 1155 \, x^{4} - 1371 \, x^{3} - 24239 \, x^{2} - 33885 \, x - 13252\right)} \sqrt{x + 1} \sqrt{-x + 1} + 119268 \, x - 13252}{153153 \, {\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)}}"," ",0,"1/153153*(13252*x^9 - 119268*x^8 + 477072*x^7 - 1113168*x^6 + 1669752*x^5 - 1669752*x^4 + 1113168*x^3 - 477072*x^2 + (8*x^8 - 72*x^7 + 292*x^6 - 708*x^5 + 1155*x^4 - 1371*x^3 - 24239*x^2 - 33885*x - 13252)*sqrt(x + 1)*sqrt(-x + 1) + 119268*x - 13252)/(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)","A",0
1104,1,55,0,1.271569," ","integrate((a*x+1)^(3/2)/(-a*x+1)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(a x + 4\right)} \sqrt{a x + 1} \sqrt{-a x + 1} + 6 \, \arctan\left(\frac{\sqrt{a x + 1} \sqrt{-a x + 1} - 1}{a x}\right)}{2 \, a}"," ",0,"-1/2*((a*x + 4)*sqrt(a*x + 1)*sqrt(-a*x + 1) + 6*arctan((sqrt(a*x + 1)*sqrt(-a*x + 1) - 1)/(a*x)))/a","A",0
1105,1,48,0,1.322624," ","integrate((a*x+1)*(-a^2*x^2+1)^(1/2)/(-a*x+1),x, algorithm=""fricas"")","-\frac{\sqrt{-a^{2} x^{2} + 1} {\left(a x + 4\right)} + 6 \, \arctan\left(\frac{\sqrt{-a^{2} x^{2} + 1} - 1}{a x}\right)}{2 \, a}"," ",0,"-1/2*(sqrt(-a^2*x^2 + 1)*(a*x + 4) + 6*arctan((sqrt(-a^2*x^2 + 1) - 1)/(a*x)))/a","A",0
1106,1,52,0,1.286439," ","integrate((1-x)^(7/2)/(1+x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{24} \, {\left(6 \, x^{3} - 32 \, x^{2} + 81 \, x - 160\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{35}{4} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-1/24*(6*x^3 - 32*x^2 + 81*x - 160)*sqrt(x + 1)*sqrt(-x + 1) - 35/4*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1107,1,47,0,1.263805," ","integrate((1-x)^(5/2)/(1+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(2 \, x^{2} - 9 \, x + 22\right)} \sqrt{x + 1} \sqrt{-x + 1} - 5 \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"1/6*(2*x^2 - 9*x + 22)*sqrt(x + 1)*sqrt(-x + 1) - 5*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1108,1,40,0,1.400932," ","integrate((1-x)^(3/2)/(1+x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{x + 1} {\left(x - 4\right)} \sqrt{-x + 1} - 3 \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-1/2*sqrt(x + 1)*(x - 4)*sqrt(-x + 1) - 3*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","A",0
1109,1,36,0,1.281160," ","integrate((1-x)^(1/2)/(1+x)^(1/2),x, algorithm=""fricas"")","\sqrt{x + 1} \sqrt{-x + 1} - 2 \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"sqrt(x + 1)*sqrt(-x + 1) - 2*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","B",0
1110,1,22,0,0.830714," ","integrate(1/(1-x)^(1/2)/(1+x)^(1/2),x, algorithm=""fricas"")","-2 \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right)"," ",0,"-2*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x)","B",0
1111,1,23,0,1.148094," ","integrate(1/(1-x)^(3/2)/(1+x)^(1/2),x, algorithm=""fricas"")","\frac{x - \sqrt{x + 1} \sqrt{-x + 1} - 1}{x - 1}"," ",0,"(x - sqrt(x + 1)*sqrt(-x + 1) - 1)/(x - 1)","A",0
1112,1,39,0,1.197694," ","integrate(1/(1-x)^(5/2)/(1+x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, x^{2} - \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} - 4 \, x + 2}{3 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"1/3*(2*x^2 - sqrt(x + 1)*(x - 2)*sqrt(-x + 1) - 4*x + 2)/(x^2 - 2*x + 1)","A",0
1113,1,56,0,1.180307," ","integrate(1/(1-x)^(7/2)/(1+x)^(1/2),x, algorithm=""fricas"")","\frac{7 \, x^{3} - 21 \, x^{2} - {\left(2 \, x^{2} - 6 \, x + 7\right)} \sqrt{x + 1} \sqrt{-x + 1} + 21 \, x - 7}{15 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}}"," ",0,"1/15*(7*x^3 - 21*x^2 - (2*x^2 - 6*x + 7)*sqrt(x + 1)*sqrt(-x + 1) + 21*x - 7)/(x^3 - 3*x^2 + 3*x - 1)","A",0
1114,1,71,0,1.282706," ","integrate(1/(1-x)^(9/2)/(1+x)^(1/2),x, algorithm=""fricas"")","\frac{12 \, x^{4} - 48 \, x^{3} + 72 \, x^{2} - {\left(2 \, x^{3} - 8 \, x^{2} + 13 \, x - 12\right)} \sqrt{x + 1} \sqrt{-x + 1} - 48 \, x + 12}{35 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}}"," ",0,"1/35*(12*x^4 - 48*x^3 + 72*x^2 - (2*x^3 - 8*x^2 + 13*x - 12)*sqrt(x + 1)*sqrt(-x + 1) - 48*x + 12)/(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)","A",0
1115,1,86,0,1.223572," ","integrate(1/(1-x)^(11/2)/(1+x)^(1/2),x, algorithm=""fricas"")","\frac{83 \, x^{5} - 415 \, x^{4} + 830 \, x^{3} - 830 \, x^{2} - {\left(8 \, x^{4} - 40 \, x^{3} + 84 \, x^{2} - 100 \, x + 83\right)} \sqrt{x + 1} \sqrt{-x + 1} + 415 \, x - 83}{315 \, {\left(x^{5} - 5 \, x^{4} + 10 \, x^{3} - 10 \, x^{2} + 5 \, x - 1\right)}}"," ",0,"1/315*(83*x^5 - 415*x^4 + 830*x^3 - 830*x^2 - (8*x^4 - 40*x^3 + 84*x^2 - 100*x + 83)*sqrt(x + 1)*sqrt(-x + 1) + 415*x - 83)/(x^5 - 5*x^4 + 10*x^3 - 10*x^2 + 5*x - 1)","A",0
1116,1,65,0,1.037583," ","integrate((1-x)^(7/2)/(1+x)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, x^{3} - 13 \, x^{2} + 55 \, x + 166\right)} \sqrt{x + 1} \sqrt{-x + 1} - 210 \, {\left(x + 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) + 166 \, x + 166}{6 \, {\left(x + 1\right)}}"," ",0,"-1/6*((2*x^3 - 13*x^2 + 55*x + 166)*sqrt(x + 1)*sqrt(-x + 1) - 210*(x + 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) + 166*x + 166)/(x + 1)","A",0
1117,1,58,0,1.323738," ","integrate((1-x)^(5/2)/(1+x)^(3/2),x, algorithm=""fricas"")","\frac{{\left(x^{2} - 7 \, x - 24\right)} \sqrt{x + 1} \sqrt{-x + 1} + 30 \, {\left(x + 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) - 24 \, x - 24}{2 \, {\left(x + 1\right)}}"," ",0,"1/2*((x^2 - 7*x - 24)*sqrt(x + 1)*sqrt(-x + 1) + 30*(x + 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) - 24*x - 24)/(x + 1)","A",0
1118,1,53,0,1.389688," ","integrate((1-x)^(3/2)/(1+x)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(x + 5\right)} \sqrt{x + 1} \sqrt{-x + 1} - 6 \, {\left(x + 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) + 5 \, x + 5}{x + 1}"," ",0,"-((x + 5)*sqrt(x + 1)*sqrt(-x + 1) - 6*(x + 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) + 5*x + 5)/(x + 1)","A",0
1119,1,50,0,0.769055," ","integrate((1-x)^(1/2)/(1+x)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(x + 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) - x - \sqrt{x + 1} \sqrt{-x + 1} - 1\right)}}{x + 1}"," ",0,"2*((x + 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) - x - sqrt(x + 1)*sqrt(-x + 1) - 1)/(x + 1)","B",0
1120,1,23,0,1.021622," ","integrate(1/(1-x)^(1/2)/(1+x)^(3/2),x, algorithm=""fricas"")","-\frac{x + \sqrt{x + 1} \sqrt{-x + 1} + 1}{x + 1}"," ",0,"-(x + sqrt(x + 1)*sqrt(-x + 1) + 1)/(x + 1)","A",0
1121,1,22,0,1.242771," ","integrate(1/(1-x)^(3/2)/(1+x)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{x + 1} x \sqrt{-x + 1}}{x^{2} - 1}"," ",0,"-sqrt(x + 1)*x*sqrt(-x + 1)/(x^2 - 1)","A",0
1122,1,54,0,1.224519," ","integrate(1/(1-x)^(5/2)/(1+x)^(3/2),x, algorithm=""fricas"")","\frac{x^{3} - x^{2} - {\left(2 \, x^{2} - 2 \, x - 1\right)} \sqrt{x + 1} \sqrt{-x + 1} - x + 1}{3 \, {\left(x^{3} - x^{2} - x + 1\right)}}"," ",0,"1/3*(x^3 - x^2 - (2*x^2 - 2*x - 1)*sqrt(x + 1)*sqrt(-x + 1) - x + 1)/(x^3 - x^2 - x + 1)","A",0
1123,1,59,0,1.037467," ","integrate(1/(1-x)^(7/2)/(1+x)^(3/2),x, algorithm=""fricas"")","\frac{2 \, x^{4} - 4 \, x^{3} - {\left(2 \, x^{3} - 4 \, x^{2} + x + 2\right)} \sqrt{x + 1} \sqrt{-x + 1} + 4 \, x - 2}{5 \, {\left(x^{4} - 2 \, x^{3} + 2 \, x - 1\right)}}"," ",0,"1/5*(2*x^4 - 4*x^3 - (2*x^3 - 4*x^2 + x + 2)*sqrt(x + 1)*sqrt(-x + 1) + 4*x - 2)/(x^4 - 2*x^3 + 2*x - 1)","A",0
1124,1,86,0,1.268069," ","integrate(1/(1-x)^(9/2)/(1+x)^(3/2),x, algorithm=""fricas"")","\frac{13 \, x^{5} - 39 \, x^{4} + 26 \, x^{3} + 26 \, x^{2} - {\left(8 \, x^{4} - 24 \, x^{3} + 20 \, x^{2} + 4 \, x - 13\right)} \sqrt{x + 1} \sqrt{-x + 1} - 39 \, x + 13}{35 \, {\left(x^{5} - 3 \, x^{4} + 2 \, x^{3} + 2 \, x^{2} - 3 \, x + 1\right)}}"," ",0,"1/35*(13*x^5 - 39*x^4 + 26*x^3 + 26*x^2 - (8*x^4 - 24*x^3 + 20*x^2 + 4*x - 13)*sqrt(x + 1)*sqrt(-x + 1) - 39*x + 13)/(x^5 - 3*x^4 + 2*x^3 + 2*x^2 - 3*x + 1)","A",0
1125,1,91,0,1.248091," ","integrate(1/(1-x)^(11/2)/(1+x)^(3/2),x, algorithm=""fricas"")","\frac{20 \, x^{6} - 80 \, x^{5} + 100 \, x^{4} - 100 \, x^{2} - {\left(8 \, x^{5} - 32 \, x^{4} + 44 \, x^{3} - 16 \, x^{2} - 17 \, x + 20\right)} \sqrt{x + 1} \sqrt{-x + 1} + 80 \, x - 20}{63 \, {\left(x^{6} - 4 \, x^{5} + 5 \, x^{4} - 5 \, x^{2} + 4 \, x - 1\right)}}"," ",0,"1/63*(20*x^6 - 80*x^5 + 100*x^4 - 100*x^2 - (8*x^5 - 32*x^4 + 44*x^3 - 16*x^2 - 17*x + 20)*sqrt(x + 1)*sqrt(-x + 1) + 80*x - 20)/(x^6 - 4*x^5 + 5*x^4 - 5*x^2 + 4*x - 1)","A",0
1126,1,85,0,1.498902," ","integrate((1-x)^(9/2)/(1+x)^(5/2),x, algorithm=""fricas"")","\frac{494 \, x^{2} + {\left(2 \, x^{4} - 17 \, x^{3} + 102 \, x^{2} + 679 \, x + 494\right)} \sqrt{x + 1} \sqrt{-x + 1} - 630 \, {\left(x^{2} + 2 \, x + 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) + 988 \, x + 494}{6 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"1/6*(494*x^2 + (2*x^4 - 17*x^3 + 102*x^2 + 679*x + 494)*sqrt(x + 1)*sqrt(-x + 1) - 630*(x^2 + 2*x + 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) + 988*x + 494)/(x^2 + 2*x + 1)","A",0
1127,1,81,0,1.270267," ","integrate((1-x)^(7/2)/(1+x)^(5/2),x, algorithm=""fricas"")","\frac{164 \, x^{2} - {\left(3 \, x^{3} - 30 \, x^{2} - 229 \, x - 164\right)} \sqrt{x + 1} \sqrt{-x + 1} - 210 \, {\left(x^{2} + 2 \, x + 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) + 328 \, x + 164}{6 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"1/6*(164*x^2 - (3*x^3 - 30*x^2 - 229*x - 164)*sqrt(x + 1)*sqrt(-x + 1) - 210*(x^2 + 2*x + 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) + 328*x + 164)/(x^2 + 2*x + 1)","A",0
1128,1,75,0,1.258544," ","integrate((1-x)^(5/2)/(1+x)^(5/2),x, algorithm=""fricas"")","\frac{23 \, x^{2} + {\left(3 \, x^{2} + 34 \, x + 23\right)} \sqrt{x + 1} \sqrt{-x + 1} - 30 \, {\left(x^{2} + 2 \, x + 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) + 46 \, x + 23}{3 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"1/3*(23*x^2 + (3*x^2 + 34*x + 23)*sqrt(x + 1)*sqrt(-x + 1) - 30*(x^2 + 2*x + 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) + 46*x + 23)/(x^2 + 2*x + 1)","A",0
1129,1,71,0,1.191061," ","integrate((1-x)^(3/2)/(1+x)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, x^{2} + 2 \, {\left(2 \, x + 1\right)} \sqrt{x + 1} \sqrt{-x + 1} - 3 \, {\left(x^{2} + 2 \, x + 1\right)} \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) + 4 \, x + 2\right)}}{3 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"2/3*(2*x^2 + 2*(2*x + 1)*sqrt(x + 1)*sqrt(-x + 1) - 3*(x^2 + 2*x + 1)*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) + 4*x + 2)/(x^2 + 2*x + 1)","B",0
1130,1,37,0,1.304947," ","integrate((1-x)^(1/2)/(1+x)^(5/2),x, algorithm=""fricas"")","-\frac{x^{2} - \sqrt{x + 1} {\left(x - 1\right)} \sqrt{-x + 1} + 2 \, x + 1}{3 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"-1/3*(x^2 - sqrt(x + 1)*(x - 1)*sqrt(-x + 1) + 2*x + 1)/(x^2 + 2*x + 1)","B",0
1131,1,38,0,1.345671," ","integrate(1/(1-x)^(1/2)/(1+x)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, x^{2} + {\left(x + 2\right)} \sqrt{x + 1} \sqrt{-x + 1} + 4 \, x + 2}{3 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"-1/3*(2*x^2 + (x + 2)*sqrt(x + 1)*sqrt(-x + 1) + 4*x + 2)/(x^2 + 2*x + 1)","A",0
1132,1,49,0,1.202221," ","integrate(1/(1-x)^(3/2)/(1+x)^(5/2),x, algorithm=""fricas"")","-\frac{x^{3} + x^{2} + {\left(2 \, x^{2} + 2 \, x - 1\right)} \sqrt{x + 1} \sqrt{-x + 1} - x - 1}{3 \, {\left(x^{3} + x^{2} - x - 1\right)}}"," ",0,"-1/3*(x^3 + x^2 + (2*x^2 + 2*x - 1)*sqrt(x + 1)*sqrt(-x + 1) - x - 1)/(x^3 + x^2 - x - 1)","A",0
1133,1,35,0,1.524526," ","integrate(1/(1-x)^(5/2)/(1+x)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, x^{3} - 3 \, x\right)} \sqrt{x + 1} \sqrt{-x + 1}}{3 \, {\left(x^{4} - 2 \, x^{2} + 1\right)}}"," ",0,"-1/3*(2*x^3 - 3*x)*sqrt(x + 1)*sqrt(-x + 1)/(x^4 - 2*x^2 + 1)","A",0
1134,1,84,0,1.268977," ","integrate(1/(1-x)^(7/2)/(1+x)^(5/2),x, algorithm=""fricas"")","\frac{3 \, x^{5} - 3 \, x^{4} - 6 \, x^{3} + 6 \, x^{2} - {\left(8 \, x^{4} - 8 \, x^{3} - 12 \, x^{2} + 12 \, x + 3\right)} \sqrt{x + 1} \sqrt{-x + 1} + 3 \, x - 3}{15 \, {\left(x^{5} - x^{4} - 2 \, x^{3} + 2 \, x^{2} + x - 1\right)}}"," ",0,"1/15*(3*x^5 - 3*x^4 - 6*x^3 + 6*x^2 - (8*x^4 - 8*x^3 - 12*x^2 + 12*x + 3)*sqrt(x + 1)*sqrt(-x + 1) + 3*x - 3)/(x^5 - x^4 - 2*x^3 + 2*x^2 + x - 1)","A",0
1135,1,101,0,1.334186," ","integrate(1/(1-x)^(9/2)/(1+x)^(5/2),x, algorithm=""fricas"")","\frac{6 \, x^{6} - 12 \, x^{5} - 6 \, x^{4} + 24 \, x^{3} - 6 \, x^{2} - {\left(8 \, x^{5} - 16 \, x^{4} - 4 \, x^{3} + 24 \, x^{2} - 9 \, x - 6\right)} \sqrt{x + 1} \sqrt{-x + 1} - 12 \, x + 6}{21 \, {\left(x^{6} - 2 \, x^{5} - x^{4} + 4 \, x^{3} - x^{2} - 2 \, x + 1\right)}}"," ",0,"1/21*(6*x^6 - 12*x^5 - 6*x^4 + 24*x^3 - 6*x^2 - (8*x^5 - 16*x^4 - 4*x^3 + 24*x^2 - 9*x - 6)*sqrt(x + 1)*sqrt(-x + 1) - 12*x + 6)/(x^6 - 2*x^5 - x^4 + 4*x^3 - x^2 - 2*x + 1)","A",0
1136,1,114,0,0.875077," ","integrate(1/(1-x)^(11/2)/(1+x)^(5/2),x, algorithm=""fricas"")","\frac{19 \, x^{7} - 57 \, x^{6} + 19 \, x^{5} + 95 \, x^{4} - 95 \, x^{3} - 19 \, x^{2} - {\left(16 \, x^{6} - 48 \, x^{5} + 24 \, x^{4} + 56 \, x^{3} - 66 \, x^{2} + 6 \, x + 19\right)} \sqrt{x + 1} \sqrt{-x + 1} + 57 \, x - 19}{63 \, {\left(x^{7} - 3 \, x^{6} + x^{5} + 5 \, x^{4} - 5 \, x^{3} - x^{2} + 3 \, x - 1\right)}}"," ",0,"1/63*(19*x^7 - 57*x^6 + 19*x^5 + 95*x^4 - 95*x^3 - 19*x^2 - (16*x^6 - 48*x^5 + 24*x^4 + 56*x^3 - 66*x^2 + 6*x + 19)*sqrt(x + 1)*sqrt(-x + 1) + 57*x - 19)/(x^7 - 3*x^6 + x^5 + 5*x^4 - 5*x^3 - x^2 + 3*x - 1)","A",0
1137,1,201,0,1.605763," ","integrate((a*x+a)^(5/2)*(-c*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{5}{32} \, \sqrt{-a c} a^{2} c^{2} \log\left(2 \, a c x^{2} + 2 \, \sqrt{-a c} \sqrt{a x + a} \sqrt{-c x + c} x - a c\right) + \frac{1}{48} \, {\left(8 \, a^{2} c^{2} x^{5} - 26 \, a^{2} c^{2} x^{3} + 33 \, a^{2} c^{2} x\right)} \sqrt{a x + a} \sqrt{-c x + c}, -\frac{5}{16} \, \sqrt{a c} a^{2} c^{2} \arctan\left(\frac{\sqrt{a c} \sqrt{a x + a} \sqrt{-c x + c} x}{a c x^{2} - a c}\right) + \frac{1}{48} \, {\left(8 \, a^{2} c^{2} x^{5} - 26 \, a^{2} c^{2} x^{3} + 33 \, a^{2} c^{2} x\right)} \sqrt{a x + a} \sqrt{-c x + c}\right]"," ",0,"[5/32*sqrt(-a*c)*a^2*c^2*log(2*a*c*x^2 + 2*sqrt(-a*c)*sqrt(a*x + a)*sqrt(-c*x + c)*x - a*c) + 1/48*(8*a^2*c^2*x^5 - 26*a^2*c^2*x^3 + 33*a^2*c^2*x)*sqrt(a*x + a)*sqrt(-c*x + c), -5/16*sqrt(a*c)*a^2*c^2*arctan(sqrt(a*c)*sqrt(a*x + a)*sqrt(-c*x + c)*x/(a*c*x^2 - a*c)) + 1/48*(8*a^2*c^2*x^5 - 26*a^2*c^2*x^3 + 33*a^2*c^2*x)*sqrt(a*x + a)*sqrt(-c*x + c)]","A",0
1138,1,155,0,1.400363," ","integrate((a*x+a)^(3/2)*(-c*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{3}{16} \, \sqrt{-a c} a c \log\left(2 \, a c x^{2} + 2 \, \sqrt{-a c} \sqrt{a x + a} \sqrt{-c x + c} x - a c\right) - \frac{1}{8} \, {\left(2 \, a c x^{3} - 5 \, a c x\right)} \sqrt{a x + a} \sqrt{-c x + c}, -\frac{3}{8} \, \sqrt{a c} a c \arctan\left(\frac{\sqrt{a c} \sqrt{a x + a} \sqrt{-c x + c} x}{a c x^{2} - a c}\right) - \frac{1}{8} \, {\left(2 \, a c x^{3} - 5 \, a c x\right)} \sqrt{a x + a} \sqrt{-c x + c}\right]"," ",0,"[3/16*sqrt(-a*c)*a*c*log(2*a*c*x^2 + 2*sqrt(-a*c)*sqrt(a*x + a)*sqrt(-c*x + c)*x - a*c) - 1/8*(2*a*c*x^3 - 5*a*c*x)*sqrt(a*x + a)*sqrt(-c*x + c), -3/8*sqrt(a*c)*a*c*arctan(sqrt(a*c)*sqrt(a*x + a)*sqrt(-c*x + c)*x/(a*c*x^2 - a*c)) - 1/8*(2*a*c*x^3 - 5*a*c*x)*sqrt(a*x + a)*sqrt(-c*x + c)]","A",0
1139,1,127,0,1.601653," ","integrate((a*x+a)^(1/2)*(-c*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{1}{2} \, \sqrt{a x + a} \sqrt{-c x + c} x + \frac{1}{4} \, \sqrt{-a c} \log\left(2 \, a c x^{2} + 2 \, \sqrt{-a c} \sqrt{a x + a} \sqrt{-c x + c} x - a c\right), \frac{1}{2} \, \sqrt{a x + a} \sqrt{-c x + c} x - \frac{1}{2} \, \sqrt{a c} \arctan\left(\frac{\sqrt{a c} \sqrt{a x + a} \sqrt{-c x + c} x}{a c x^{2} - a c}\right)\right]"," ",0,"[1/2*sqrt(a*x + a)*sqrt(-c*x + c)*x + 1/4*sqrt(-a*c)*log(2*a*c*x^2 + 2*sqrt(-a*c)*sqrt(a*x + a)*sqrt(-c*x + c)*x - a*c), 1/2*sqrt(a*x + a)*sqrt(-c*x + c)*x - 1/2*sqrt(a*c)*arctan(sqrt(a*c)*sqrt(a*x + a)*sqrt(-c*x + c)*x/(a*c*x^2 - a*c))]","A",0
1140,1,101,0,1.643857," ","integrate(1/(a*x+a)^(1/2)/(-c*x+c)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a c} \log\left(2 \, a c x^{2} - 2 \, \sqrt{-a c} \sqrt{a x + a} \sqrt{-c x + c} x - a c\right)}{2 \, a c}, -\frac{\sqrt{a c} \arctan\left(\frac{\sqrt{a c} \sqrt{a x + a} \sqrt{-c x + c} x}{a c x^{2} - a c}\right)}{a c}\right]"," ",0,"[-1/2*sqrt(-a*c)*log(2*a*c*x^2 - 2*sqrt(-a*c)*sqrt(a*x + a)*sqrt(-c*x + c)*x - a*c)/(a*c), -sqrt(a*c)*arctan(sqrt(a*c)*sqrt(a*x + a)*sqrt(-c*x + c)*x/(a*c*x^2 - a*c))/(a*c)]","A",0
1141,1,39,0,1.484288," ","integrate(1/(a*x+a)^(3/2)/(-c*x+c)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{a x + a} \sqrt{-c x + c} x}{a^{2} c^{2} x^{2} - a^{2} c^{2}}"," ",0,"-sqrt(a*x + a)*sqrt(-c*x + c)*x/(a^2*c^2*x^2 - a^2*c^2)","A",0
1142,1,57,0,1.084235," ","integrate(1/(a*x+a)^(5/2)/(-c*x+c)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, x^{3} - 3 \, x\right)} \sqrt{a x + a} \sqrt{-c x + c}}{3 \, {\left(a^{3} c^{3} x^{4} - 2 \, a^{3} c^{3} x^{2} + a^{3} c^{3}\right)}}"," ",0,"-1/3*(2*x^3 - 3*x)*sqrt(a*x + a)*sqrt(-c*x + c)/(a^3*c^3*x^4 - 2*a^3*c^3*x^2 + a^3*c^3)","A",0
1143,1,74,0,1.123136," ","integrate(1/(a*x+a)^(7/2)/(-c*x+c)^(7/2),x, algorithm=""fricas"")","-\frac{{\left(8 \, x^{5} - 20 \, x^{3} + 15 \, x\right)} \sqrt{a x + a} \sqrt{-c x + c}}{15 \, {\left(a^{4} c^{4} x^{6} - 3 \, a^{4} c^{4} x^{4} + 3 \, a^{4} c^{4} x^{2} - a^{4} c^{4}\right)}}"," ",0,"-1/15*(8*x^5 - 20*x^3 + 15*x)*sqrt(a*x + a)*sqrt(-c*x + c)/(a^4*c^4*x^6 - 3*a^4*c^4*x^4 + 3*a^4*c^4*x^2 - a^4*c^4)","A",0
1144,1,89,0,1.260620," ","integrate(1/(a*x+a)^(9/2)/(-c*x+c)^(9/2),x, algorithm=""fricas"")","-\frac{{\left(16 \, x^{7} - 56 \, x^{5} + 70 \, x^{3} - 35 \, x\right)} \sqrt{a x + a} \sqrt{-c x + c}}{35 \, {\left(a^{5} c^{5} x^{8} - 4 \, a^{5} c^{5} x^{6} + 6 \, a^{5} c^{5} x^{4} - 4 \, a^{5} c^{5} x^{2} + a^{5} c^{5}\right)}}"," ",0,"-1/35*(16*x^7 - 56*x^5 + 70*x^3 - 35*x)*sqrt(a*x + a)*sqrt(-c*x + c)/(a^5*c^5*x^8 - 4*a^5*c^5*x^6 + 6*a^5*c^5*x^4 - 4*a^5*c^5*x^2 + a^5*c^5)","A",0
1145,1,232,0,1.164771," ","integrate((b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{6} \sqrt{-c} c^{2} \log\left(2 \, b^{2} c x^{2} + 2 \, \sqrt{-b c x + a c} \sqrt{b x + a} b \sqrt{-c} x - a^{2} c\right) + 2 \, {\left(8 \, b^{5} c^{2} x^{5} - 26 \, a^{2} b^{3} c^{2} x^{3} + 33 \, a^{4} b c^{2} x\right)} \sqrt{-b c x + a c} \sqrt{b x + a}}{96 \, b}, -\frac{15 \, a^{6} c^{\frac{5}{2}} \arctan\left(\frac{\sqrt{-b c x + a c} \sqrt{b x + a} b \sqrt{c} x}{b^{2} c x^{2} - a^{2} c}\right) - {\left(8 \, b^{5} c^{2} x^{5} - 26 \, a^{2} b^{3} c^{2} x^{3} + 33 \, a^{4} b c^{2} x\right)} \sqrt{-b c x + a c} \sqrt{b x + a}}{48 \, b}\right]"," ",0,"[1/96*(15*a^6*sqrt(-c)*c^2*log(2*b^2*c*x^2 + 2*sqrt(-b*c*x + a*c)*sqrt(b*x + a)*b*sqrt(-c)*x - a^2*c) + 2*(8*b^5*c^2*x^5 - 26*a^2*b^3*c^2*x^3 + 33*a^4*b*c^2*x)*sqrt(-b*c*x + a*c)*sqrt(b*x + a))/b, -1/48*(15*a^6*c^(5/2)*arctan(sqrt(-b*c*x + a*c)*sqrt(b*x + a)*b*sqrt(c)*x/(b^2*c*x^2 - a^2*c)) - (8*b^5*c^2*x^5 - 26*a^2*b^3*c^2*x^3 + 33*a^4*b*c^2*x)*sqrt(-b*c*x + a*c)*sqrt(b*x + a))/b]","A",0
1146,1,193,0,1.425987," ","integrate((b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{4} \sqrt{-c} c \log\left(2 \, b^{2} c x^{2} + 2 \, \sqrt{-b c x + a c} \sqrt{b x + a} b \sqrt{-c} x - a^{2} c\right) - 2 \, {\left(2 \, b^{3} c x^{3} - 5 \, a^{2} b c x\right)} \sqrt{-b c x + a c} \sqrt{b x + a}}{16 \, b}, -\frac{3 \, a^{4} c^{\frac{3}{2}} \arctan\left(\frac{\sqrt{-b c x + a c} \sqrt{b x + a} b \sqrt{c} x}{b^{2} c x^{2} - a^{2} c}\right) + {\left(2 \, b^{3} c x^{3} - 5 \, a^{2} b c x\right)} \sqrt{-b c x + a c} \sqrt{b x + a}}{8 \, b}\right]"," ",0,"[1/16*(3*a^4*sqrt(-c)*c*log(2*b^2*c*x^2 + 2*sqrt(-b*c*x + a*c)*sqrt(b*x + a)*b*sqrt(-c)*x - a^2*c) - 2*(2*b^3*c*x^3 - 5*a^2*b*c*x)*sqrt(-b*c*x + a*c)*sqrt(b*x + a))/b, -1/8*(3*a^4*c^(3/2)*arctan(sqrt(-b*c*x + a*c)*sqrt(b*x + a)*b*sqrt(c)*x/(b^2*c*x^2 - a^2*c)) + (2*b^3*c*x^3 - 5*a^2*b*c*x)*sqrt(-b*c*x + a*c)*sqrt(b*x + a))/b]","A",0
1147,1,159,0,1.401317," ","integrate((b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2),x, algorithm=""fricas"")","\left[\frac{a^{2} \sqrt{-c} \log\left(2 \, b^{2} c x^{2} + 2 \, \sqrt{-b c x + a c} \sqrt{b x + a} b \sqrt{-c} x - a^{2} c\right) + 2 \, \sqrt{-b c x + a c} \sqrt{b x + a} b x}{4 \, b}, -\frac{a^{2} \sqrt{c} \arctan\left(\frac{\sqrt{-b c x + a c} \sqrt{b x + a} b \sqrt{c} x}{b^{2} c x^{2} - a^{2} c}\right) - \sqrt{-b c x + a c} \sqrt{b x + a} b x}{2 \, b}\right]"," ",0,"[1/4*(a^2*sqrt(-c)*log(2*b^2*c*x^2 + 2*sqrt(-b*c*x + a*c)*sqrt(b*x + a)*b*sqrt(-c)*x - a^2*c) + 2*sqrt(-b*c*x + a*c)*sqrt(b*x + a)*b*x)/b, -1/2*(a^2*sqrt(c)*arctan(sqrt(-b*c*x + a*c)*sqrt(b*x + a)*b*sqrt(c)*x/(b^2*c*x^2 - a^2*c)) - sqrt(-b*c*x + a*c)*sqrt(b*x + a)*b*x)/b]","A",0
1148,1,108,0,0.827962," ","integrate(1/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c} \log\left(2 \, b^{2} c x^{2} - 2 \, \sqrt{-b c x + a c} \sqrt{b x + a} b \sqrt{-c} x - a^{2} c\right)}{2 \, b c}, -\frac{\arctan\left(\frac{\sqrt{-b c x + a c} \sqrt{b x + a} b \sqrt{c} x}{b^{2} c x^{2} - a^{2} c}\right)}{b \sqrt{c}}\right]"," ",0,"[-1/2*sqrt(-c)*log(2*b^2*c*x^2 - 2*sqrt(-b*c*x + a*c)*sqrt(b*x + a)*b*sqrt(-c)*x - a^2*c)/(b*c), -arctan(sqrt(-b*c*x + a*c)*sqrt(b*x + a)*b*sqrt(c)*x/(b^2*c*x^2 - a^2*c))/(b*sqrt(c))]","A",0
1149,1,45,0,0.956935," ","integrate(1/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{-b c x + a c} \sqrt{b x + a} x}{a^{2} b^{2} c^{2} x^{2} - a^{4} c^{2}}"," ",0,"-sqrt(-b*c*x + a*c)*sqrt(b*x + a)*x/(a^2*b^2*c^2*x^2 - a^4*c^2)","A",0
1150,1,72,0,1.230354," ","integrate(1/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, b^{2} x^{3} - 3 \, a^{2} x\right)} \sqrt{-b c x + a c} \sqrt{b x + a}}{3 \, {\left(a^{4} b^{4} c^{3} x^{4} - 2 \, a^{6} b^{2} c^{3} x^{2} + a^{8} c^{3}\right)}}"," ",0,"-1/3*(2*b^2*x^3 - 3*a^2*x)*sqrt(-b*c*x + a*c)*sqrt(b*x + a)/(a^4*b^4*c^3*x^4 - 2*a^6*b^2*c^3*x^2 + a^8*c^3)","A",0
1151,1,98,0,1.402768," ","integrate(1/(b*x+a)^(7/2)/(-b*c*x+a*c)^(7/2),x, algorithm=""fricas"")","-\frac{{\left(8 \, b^{4} x^{5} - 20 \, a^{2} b^{2} x^{3} + 15 \, a^{4} x\right)} \sqrt{-b c x + a c} \sqrt{b x + a}}{15 \, {\left(a^{6} b^{6} c^{4} x^{6} - 3 \, a^{8} b^{4} c^{4} x^{4} + 3 \, a^{10} b^{2} c^{4} x^{2} - a^{12} c^{4}\right)}}"," ",0,"-1/15*(8*b^4*x^5 - 20*a^2*b^2*x^3 + 15*a^4*x)*sqrt(-b*c*x + a*c)*sqrt(b*x + a)/(a^6*b^6*c^4*x^6 - 3*a^8*b^4*c^4*x^4 + 3*a^10*b^2*c^4*x^2 - a^12*c^4)","A",0
1152,1,122,0,1.602215," ","integrate(1/(b*x+a)^(9/2)/(-b*c*x+a*c)^(9/2),x, algorithm=""fricas"")","-\frac{{\left(16 \, b^{6} x^{7} - 56 \, a^{2} b^{4} x^{5} + 70 \, a^{4} b^{2} x^{3} - 35 \, a^{6} x\right)} \sqrt{-b c x + a c} \sqrt{b x + a}}{35 \, {\left(a^{8} b^{8} c^{5} x^{8} - 4 \, a^{10} b^{6} c^{5} x^{6} + 6 \, a^{12} b^{4} c^{5} x^{4} - 4 \, a^{14} b^{2} c^{5} x^{2} + a^{16} c^{5}\right)}}"," ",0,"-1/35*(16*b^6*x^7 - 56*a^2*b^4*x^5 + 70*a^4*b^2*x^3 - 35*a^6*x)*sqrt(-b*c*x + a*c)*sqrt(b*x + a)/(a^8*b^8*c^5*x^8 - 4*a^10*b^6*c^5*x^6 + 6*a^12*b^4*c^5*x^4 - 4*a^14*b^2*c^5*x^2 + a^16*c^5)","A",0
1153,1,65,0,1.209577," ","integrate((3-6*x)^(5/2)*(4*x+2)^(5/2),x, algorithm=""fricas"")","\frac{3}{4} \, {\left(128 \, x^{5} - 104 \, x^{3} + 33 \, x\right)} \sqrt{4 \, x + 2} \sqrt{-6 \, x + 3} - \frac{45}{8} \, \sqrt{3} \sqrt{2} \arctan\left(\frac{\sqrt{3} \sqrt{2} \sqrt{4 \, x + 2} \sqrt{-6 \, x + 3}}{12 \, x}\right)"," ",0,"3/4*(128*x^5 - 104*x^3 + 33*x)*sqrt(4*x + 2)*sqrt(-6*x + 3) - 45/8*sqrt(3)*sqrt(2)*arctan(1/12*sqrt(3)*sqrt(2)*sqrt(4*x + 2)*sqrt(-6*x + 3)/x)","A",0
1154,1,60,0,0.867719," ","integrate((3-6*x)^(3/2)*(4*x+2)^(3/2),x, algorithm=""fricas"")","-\frac{3}{4} \, {\left(8 \, x^{3} - 5 \, x\right)} \sqrt{4 \, x + 2} \sqrt{-6 \, x + 3} - \frac{9}{8} \, \sqrt{3} \sqrt{2} \arctan\left(\frac{\sqrt{3} \sqrt{2} \sqrt{4 \, x + 2} \sqrt{-6 \, x + 3}}{12 \, x}\right)"," ",0,"-3/4*(8*x^3 - 5*x)*sqrt(4*x + 2)*sqrt(-6*x + 3) - 9/8*sqrt(3)*sqrt(2)*arctan(1/12*sqrt(3)*sqrt(2)*sqrt(4*x + 2)*sqrt(-6*x + 3)/x)","A",0
1155,1,52,0,1.134916," ","integrate((3-6*x)^(1/2)*(4*x+2)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{4 \, x + 2} x \sqrt{-6 \, x + 3} - \frac{1}{4} \, \sqrt{3} \sqrt{2} \arctan\left(\frac{\sqrt{3} \sqrt{2} \sqrt{4 \, x + 2} \sqrt{-6 \, x + 3}}{12 \, x}\right)"," ",0,"1/2*sqrt(4*x + 2)*x*sqrt(-6*x + 3) - 1/4*sqrt(3)*sqrt(2)*arctan(1/12*sqrt(3)*sqrt(2)*sqrt(4*x + 2)*sqrt(-6*x + 3)/x)","A",0
1156,1,28,0,1.093400," ","integrate(1/(3-6*x)^(1/2)/(4*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{6} \arctan\left(\frac{\sqrt{6} \sqrt{4 \, x + 2} \sqrt{-6 \, x + 3}}{12 \, x}\right)"," ",0,"-1/12*sqrt(6)*arctan(1/12*sqrt(6)*sqrt(4*x + 2)*sqrt(-6*x + 3)/x)","B",0
1157,1,26,0,1.391582," ","integrate(1/(3-6*x)^(3/2)/(4*x+2)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{4 \, x + 2} x \sqrt{-6 \, x + 3}}{36 \, {\left(4 \, x^{2} - 1\right)}}"," ",0,"-1/36*sqrt(4*x + 2)*x*sqrt(-6*x + 3)/(4*x^2 - 1)","A",0
1158,1,39,0,1.313654," ","integrate(1/(3-6*x)^(5/2)/(4*x+2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(8 \, x^{3} - 3 \, x\right)} \sqrt{4 \, x + 2} \sqrt{-6 \, x + 3}}{648 \, {\left(16 \, x^{4} - 8 \, x^{2} + 1\right)}}"," ",0,"-1/648*(8*x^3 - 3*x)*sqrt(4*x + 2)*sqrt(-6*x + 3)/(16*x^4 - 8*x^2 + 1)","A",0
1159,1,49,0,1.257402," ","integrate(1/(3-6*x)^(7/2)/(4*x+2)^(7/2),x, algorithm=""fricas"")","-\frac{{\left(128 \, x^{5} - 80 \, x^{3} + 15 \, x\right)} \sqrt{4 \, x + 2} \sqrt{-6 \, x + 3}}{19440 \, {\left(64 \, x^{6} - 48 \, x^{4} + 12 \, x^{2} - 1\right)}}"," ",0,"-1/19440*(128*x^5 - 80*x^3 + 15*x)*sqrt(4*x + 2)*sqrt(-6*x + 3)/(64*x^6 - 48*x^4 + 12*x^2 - 1)","A",0
1160,1,62,0,1.095141," ","integrate((3-x)^(3/2)*(-2+x)^(3/2),x, algorithm=""fricas"")","-\frac{1}{64} \, {\left(16 \, x^{3} - 120 \, x^{2} + 290 \, x - 225\right)} \sqrt{x - 2} \sqrt{-x + 3} - \frac{3}{128} \, \arctan\left(\frac{{\left(2 \, x - 5\right)} \sqrt{x - 2} \sqrt{-x + 3}}{2 \, {\left(x^{2} - 5 \, x + 6\right)}}\right)"," ",0,"-1/64*(16*x^3 - 120*x^2 + 290*x - 225)*sqrt(x - 2)*sqrt(-x + 3) - 3/128*arctan(1/2*(2*x - 5)*sqrt(x - 2)*sqrt(-x + 3)/(x^2 - 5*x + 6))","A",0
1161,1,52,0,1.288894," ","integrate((3-x)^(1/2)*(-2+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(2 \, x - 5\right)} \sqrt{x - 2} \sqrt{-x + 3} - \frac{1}{8} \, \arctan\left(\frac{{\left(2 \, x - 5\right)} \sqrt{x - 2} \sqrt{-x + 3}}{2 \, {\left(x^{2} - 5 \, x + 6\right)}}\right)"," ",0,"1/4*(2*x - 5)*sqrt(x - 2)*sqrt(-x + 3) - 1/8*arctan(1/2*(2*x - 5)*sqrt(x - 2)*sqrt(-x + 3)/(x^2 - 5*x + 6))","A",0
1162,1,32,0,1.353626," ","integrate(1/(3-x)^(1/2)/(-2+x)^(1/2),x, algorithm=""fricas"")","-\arctan\left(\frac{{\left(2 \, x - 5\right)} \sqrt{x - 2} \sqrt{-x + 3}}{2 \, {\left(x^{2} - 5 \, x + 6\right)}}\right)"," ",0,"-arctan(1/2*(2*x - 5)*sqrt(x - 2)*sqrt(-x + 3)/(x^2 - 5*x + 6))","B",0
1163,1,29,0,1.266990," ","integrate(1/(3-x)^(3/2)/(-2+x)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, x - 5\right)} \sqrt{x - 2} \sqrt{-x + 3}}{x^{2} - 5 \, x + 6}"," ",0,"-2*(2*x - 5)*sqrt(x - 2)*sqrt(-x + 3)/(x^2 - 5*x + 6)","A",0
1164,1,49,0,1.222466," ","integrate(1/(3-x)^(5/2)/(-2+x)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(16 \, x^{3} - 120 \, x^{2} + 294 \, x - 235\right)} \sqrt{x - 2} \sqrt{-x + 3}}{3 \, {\left(x^{4} - 10 \, x^{3} + 37 \, x^{2} - 60 \, x + 36\right)}}"," ",0,"-2/3*(16*x^3 - 120*x^2 + 294*x - 235)*sqrt(x - 2)*sqrt(-x + 3)/(x^4 - 10*x^3 + 37*x^2 - 60*x + 36)","A",0
1165,1,22,0,1.555416," ","integrate(1/(3-x)^(3/2)/(3+x)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{x + 3} x \sqrt{-x + 3}}{9 \, {\left(x^{2} - 9\right)}}"," ",0,"-1/9*sqrt(x + 3)*x*sqrt(-x + 3)/(x^2 - 9)","A",0
1166,1,29,0,1.529593," ","integrate(1/(-b*x+3)^(3/2)/(b*x+3)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{b x + 3} \sqrt{-b x + 3} x}{9 \, {\left(b^{2} x^{2} - 9\right)}}"," ",0,"-1/9*sqrt(b*x + 3)*sqrt(-b*x + 3)*x/(b^2*x^2 - 9)","A",0
1167,1,22,0,1.288792," ","integrate(1/(6-2*x)^(3/2)/(3+x)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{x + 3} x \sqrt{-2 \, x + 6}}{36 \, {\left(x^{2} - 9\right)}}"," ",0,"-1/36*sqrt(x + 3)*x*sqrt(-2*x + 6)/(x^2 - 9)","A",0
1168,1,29,0,1.210932," ","integrate(1/(-2*b*x+6)^(3/2)/(b*x+3)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{b x + 3} \sqrt{-2 \, b x + 6} x}{36 \, {\left(b^{2} x^{2} - 9\right)}}"," ",0,"-1/36*sqrt(b*x + 3)*sqrt(-2*b*x + 6)*x/(b^2*x^2 - 9)","A",0
1169,1,108,0,1.272031," ","integrate(1/(b*x+a)^(1/2)/(b*d*x-a*d)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(2 \, b^{2} d x^{2} + 2 \, \sqrt{b d x - a d} \sqrt{b x + a} b \sqrt{d} x - a^{2} d\right)}{2 \, b \sqrt{d}}, -\frac{\sqrt{-d} \arctan\left(\frac{\sqrt{b d x - a d} \sqrt{b x + a} b \sqrt{-d} x}{b^{2} d x^{2} - a^{2} d}\right)}{b d}\right]"," ",0,"[1/2*log(2*b^2*d*x^2 + 2*sqrt(b*d*x - a*d)*sqrt(b*x + a)*b*sqrt(d)*x - a^2*d)/(b*sqrt(d)), -sqrt(-d)*arctan(sqrt(b*d*x - a*d)*sqrt(b*x + a)*b*sqrt(-d)*x/(b^2*d*x^2 - a^2*d))/(b*d)]","A",0
1170,1,505,0,1.406816," ","integrate(1/(-3*e*x+6)^(1/4)/(e*x+2)^(3/4),x, algorithm=""fricas"")","2 \, \sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} \frac{1}{e^{4}}^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(e x + 2\right)}^{\frac{1}{4}} {\left(-3 \, e x + 6\right)}^{\frac{3}{4}} e^{3} \frac{1}{e^{4}}^{\frac{3}{4}} - \sqrt{3} \sqrt{2} \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(e^{4} x - 2 \, e^{3}\right)} \sqrt{\frac{\sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(e x + 2\right)}^{\frac{1}{4}} {\left(-3 \, e x + 6\right)}^{\frac{3}{4}} e \frac{1}{e^{4}}^{\frac{1}{4}} + 3 \, \sqrt{\frac{1}{3}} {\left(e^{3} x - 2 \, e^{2}\right)} \sqrt{\frac{1}{e^{4}}} - \sqrt{e x + 2} \sqrt{-3 \, e x + 6}}{e x - 2}} \frac{1}{e^{4}}^{\frac{3}{4}} + e x - 2}{e x - 2}\right) + 2 \, \sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} \frac{1}{e^{4}}^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(e x + 2\right)}^{\frac{1}{4}} {\left(-3 \, e x + 6\right)}^{\frac{3}{4}} e^{3} \frac{1}{e^{4}}^{\frac{3}{4}} - \sqrt{3} \sqrt{2} \left(\frac{1}{3}\right)^{\frac{3}{4}} {\left(e^{4} x - 2 \, e^{3}\right)} \sqrt{-\frac{\sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(e x + 2\right)}^{\frac{1}{4}} {\left(-3 \, e x + 6\right)}^{\frac{3}{4}} e \frac{1}{e^{4}}^{\frac{1}{4}} - 3 \, \sqrt{\frac{1}{3}} {\left(e^{3} x - 2 \, e^{2}\right)} \sqrt{\frac{1}{e^{4}}} + \sqrt{e x + 2} \sqrt{-3 \, e x + 6}}{e x - 2}} \frac{1}{e^{4}}^{\frac{3}{4}} - e x + 2}{e x - 2}\right) - \frac{1}{2} \, \sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} \frac{1}{e^{4}}^{\frac{1}{4}} \log\left(\frac{3 \, {\left(\sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(e x + 2\right)}^{\frac{1}{4}} {\left(-3 \, e x + 6\right)}^{\frac{3}{4}} e \frac{1}{e^{4}}^{\frac{1}{4}} + 3 \, \sqrt{\frac{1}{3}} {\left(e^{3} x - 2 \, e^{2}\right)} \sqrt{\frac{1}{e^{4}}} - \sqrt{e x + 2} \sqrt{-3 \, e x + 6}\right)}}{e x - 2}\right) + \frac{1}{2} \, \sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} \frac{1}{e^{4}}^{\frac{1}{4}} \log\left(-\frac{3 \, {\left(\sqrt{2} \left(\frac{1}{3}\right)^{\frac{1}{4}} {\left(e x + 2\right)}^{\frac{1}{4}} {\left(-3 \, e x + 6\right)}^{\frac{3}{4}} e \frac{1}{e^{4}}^{\frac{1}{4}} - 3 \, \sqrt{\frac{1}{3}} {\left(e^{3} x - 2 \, e^{2}\right)} \sqrt{\frac{1}{e^{4}}} + \sqrt{e x + 2} \sqrt{-3 \, e x + 6}\right)}}{e x - 2}\right)"," ",0,"2*sqrt(2)*(1/3)^(1/4)*(e^(-4))^(1/4)*arctan(-(sqrt(2)*(1/3)^(3/4)*(e*x + 2)^(1/4)*(-3*e*x + 6)^(3/4)*e^3*(e^(-4))^(3/4) - sqrt(3)*sqrt(2)*(1/3)^(3/4)*(e^4*x - 2*e^3)*sqrt((sqrt(2)*(1/3)^(1/4)*(e*x + 2)^(1/4)*(-3*e*x + 6)^(3/4)*e*(e^(-4))^(1/4) + 3*sqrt(1/3)*(e^3*x - 2*e^2)*sqrt(e^(-4)) - sqrt(e*x + 2)*sqrt(-3*e*x + 6))/(e*x - 2))*(e^(-4))^(3/4) + e*x - 2)/(e*x - 2)) + 2*sqrt(2)*(1/3)^(1/4)*(e^(-4))^(1/4)*arctan(-(sqrt(2)*(1/3)^(3/4)*(e*x + 2)^(1/4)*(-3*e*x + 6)^(3/4)*e^3*(e^(-4))^(3/4) - sqrt(3)*sqrt(2)*(1/3)^(3/4)*(e^4*x - 2*e^3)*sqrt(-(sqrt(2)*(1/3)^(1/4)*(e*x + 2)^(1/4)*(-3*e*x + 6)^(3/4)*e*(e^(-4))^(1/4) - 3*sqrt(1/3)*(e^3*x - 2*e^2)*sqrt(e^(-4)) + sqrt(e*x + 2)*sqrt(-3*e*x + 6))/(e*x - 2))*(e^(-4))^(3/4) - e*x + 2)/(e*x - 2)) - 1/2*sqrt(2)*(1/3)^(1/4)*(e^(-4))^(1/4)*log(3*(sqrt(2)*(1/3)^(1/4)*(e*x + 2)^(1/4)*(-3*e*x + 6)^(3/4)*e*(e^(-4))^(1/4) + 3*sqrt(1/3)*(e^3*x - 2*e^2)*sqrt(e^(-4)) - sqrt(e*x + 2)*sqrt(-3*e*x + 6))/(e*x - 2)) + 1/2*sqrt(2)*(1/3)^(1/4)*(e^(-4))^(1/4)*log(-3*(sqrt(2)*(1/3)^(1/4)*(e*x + 2)^(1/4)*(-3*e*x + 6)^(3/4)*e*(e^(-4))^(1/4) - 3*sqrt(1/3)*(e^3*x - 2*e^2)*sqrt(e^(-4)) + sqrt(e*x + 2)*sqrt(-3*e*x + 6))/(e*x - 2))","B",0
1171,0,0,0,1.164857," ","integrate((a-I*a*x)^(7/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(3 \, x^{2} + 10 i \, x - 21\right)} - 15 \, x {\rm integral}\left(\frac{14 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{5 \, {\left(x^{4} + x^{2}\right)}}, x\right)}{15 \, x}"," ",0,"-1/15*(2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)*(3*x^2 + 10*I*x - 21) - 15*x*integral(14/5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(x^4 + x^2), x))/x","F",0
1172,0,0,0,1.561973," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","\frac{3 \, a x {\rm integral}\left(\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{a x^{4} + a x^{2}}, x\right) - 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(i \, x - 3\right)}}{3 \, a x}"," ",0,"1/3*(3*a*x*integral(2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a*x^4 + a*x^2), x) - 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)*(I*x - 3))/(a*x)","F",0
1173,0,0,0,1.633193," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","\frac{a^{2} x {\rm integral}\left(\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{a^{2} x^{4} + a^{2} x^{2}}, x\right) + 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{a^{2} x}"," ",0,"(a^2*x*integral(2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^2*x^4 + a^2*x^2), x) + 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4))/(a^2*x)","F",0
1174,0,0,0,0.904388," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","\frac{{\left(a^{3} x^{2} + i \, a^{3} x\right)} {\rm integral}\left(-\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{a^{3} x^{4} + a^{3} x^{2}}, x\right) - 2 i \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{a^{3} x^{2} + i \, a^{3} x}"," ",0,"((a^3*x^2 + I*a^3*x)*integral(-2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^3*x^4 + a^3*x^2), x) - 2*I*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4))/(a^3*x^2 + I*a^3*x)","F",0
1175,0,0,0,1.431962," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(2 \, x + 4 i\right)} + 5 \, {\left(a^{4} x^{2} + 2 i \, a^{4} x - a^{4}\right)} {\rm integral}\left(-\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{5 \, {\left(a^{4} x^{2} + a^{4}\right)}}, x\right)}{5 \, {\left(a^{4} x^{2} + 2 i \, a^{4} x - a^{4}\right)}}"," ",0,"1/5*((I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)*(2*x + 4*I) + 5*(a^4*x^2 + 2*I*a^4*x - a^4)*integral(-1/5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^4*x^2 + a^4), x))/(a^4*x^2 + 2*I*a^4*x - a^4)","F",0
1176,0,0,0,1.288160," ","integrate(1/(a-I*a*x)^(13/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(3 \, x^{2} + 9 i \, x - 11\right)} + {\left(45 \, a^{5} x^{3} + 135 i \, a^{5} x^{2} - 135 \, a^{5} x - 45 i \, a^{5}\right)} {\rm integral}\left(-\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{15 \, {\left(a^{5} x^{2} + a^{5}\right)}}, x\right)}{45 \, a^{5} x^{3} + 135 i \, a^{5} x^{2} - 135 \, a^{5} x - 45 i \, a^{5}}"," ",0,"(2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)*(3*x^2 + 9*I*x - 11) + (45*a^5*x^3 + 135*I*a^5*x^2 - 135*a^5*x - 45*I*a^5)*integral(-1/15*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^5*x^2 + a^5), x))/(45*a^5*x^3 + 135*I*a^5*x^2 - 135*a^5*x - 45*I*a^5)","F",0
1177,0,0,0,0.799212," ","integrate(1/(a-I*a*x)^(17/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","\frac{{\left(6 \, x^{3} + 24 i \, x^{2} - 40 \, x - 40 i\right)} {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} + {\left(117 \, a^{6} x^{4} + 468 i \, a^{6} x^{3} - 702 \, a^{6} x^{2} - 468 i \, a^{6} x + 117 \, a^{6}\right)} {\rm integral}\left(-\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{39 \, {\left(a^{6} x^{2} + a^{6}\right)}}, x\right)}{117 \, a^{6} x^{4} + 468 i \, a^{6} x^{3} - 702 \, a^{6} x^{2} - 468 i \, a^{6} x + 117 \, a^{6}}"," ",0,"((6*x^3 + 24*I*x^2 - 40*x - 40*I)*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4) + (117*a^6*x^4 + 468*I*a^6*x^3 - 702*a^6*x^2 - 468*I*a^6*x + 117*a^6)*integral(-1/39*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^6*x^2 + a^6), x))/(117*a^6*x^4 + 468*I*a^6*x^3 - 702*a^6*x^2 - 468*I*a^6*x + 117*a^6)","F",0
1178,1,194,0,1.486170," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","\frac{\sqrt{i} a \log\left(\frac{\sqrt{i} {\left(a x - i \, a\right)} + {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{x - i}\right) - \sqrt{i} a \log\left(-\frac{\sqrt{i} {\left(a x - i \, a\right)} - {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{x - i}\right) + \sqrt{-i} a \log\left(\frac{\sqrt{-i} {\left(a x - i \, a\right)} + {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{x - i}\right) - \sqrt{-i} a \log\left(-\frac{\sqrt{-i} {\left(a x - i \, a\right)} - {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{x - i}\right) - 2 i \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, a}"," ",0,"1/2*(sqrt(I)*a*log((sqrt(I)*(a*x - I*a) + (I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(x - I)) - sqrt(I)*a*log(-(sqrt(I)*(a*x - I*a) - (I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(x - I)) + sqrt(-I)*a*log((sqrt(-I)*(a*x - I*a) + (I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(x - I)) - sqrt(-I)*a*log(-(sqrt(-I)*(a*x - I*a) - (I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(x - I)) - 2*I*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/a","A",0
1179,1,227,0,1.499364," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{\frac{4 i}{a^{2}}} \log\left(\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} + 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, x - 2 i}\right) - \frac{1}{2} \, \sqrt{\frac{4 i}{a^{2}}} \log\left(-\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} - 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, x - 2 i}\right) + \frac{1}{2} \, \sqrt{-\frac{4 i}{a^{2}}} \log\left(\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} + 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, x - 2 i}\right) - \frac{1}{2} \, \sqrt{-\frac{4 i}{a^{2}}} \log\left(-\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} - 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, x - 2 i}\right)"," ",0,"1/2*sqrt(4*I/a^2)*log(((a^2*x - I*a^2)*sqrt(4*I/a^2) + 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*x - 2*I)) - 1/2*sqrt(4*I/a^2)*log(-((a^2*x - I*a^2)*sqrt(4*I/a^2) - 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*x - 2*I)) + 1/2*sqrt(-4*I/a^2)*log(((a^2*x - I*a^2)*sqrt(-4*I/a^2) + 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*x - 2*I)) - 1/2*sqrt(-4*I/a^2)*log(-((a^2*x - I*a^2)*sqrt(-4*I/a^2) - 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*x - 2*I))","A",0
1180,1,32,0,1.713320," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{3 \, a^{3} x + 3 i \, a^{3}}"," ",0,"2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)/(3*a^3*x + 3*I*a^3)","A",0
1181,1,44,0,1.569618," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(4 \, x + 10 i\right)}}{21 \, {\left(a^{4} x^{2} + 2 i \, a^{4} x - a^{4}\right)}}"," ",0,"1/21*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)*(4*x + 10*I)/(a^4*x^2 + 2*I*a^4*x - a^4)","A",0
1182,1,58,0,1.417310," ","integrate(1/(a-I*a*x)^(15/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(8 \, x^{2} + 28 i \, x - 41\right)}}{231 \, a^{5} x^{3} + 693 i \, a^{5} x^{2} - 693 \, a^{5} x - 231 i \, a^{5}}"," ",0,"2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)*(8*x^2 + 28*I*x - 41)/(231*a^5*x^3 + 693*I*a^5*x^2 - 693*a^5*x - 231*I*a^5)","A",0
1183,1,70,0,1.471837," ","integrate(1/(a-I*a*x)^(19/4)/(a+I*a*x)^(1/4),x, algorithm=""fricas"")","\frac{{\left(32 \, x^{3} + 144 i \, x^{2} - 276 \, x - 318 i\right)} {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{1155 \, a^{6} x^{4} + 4620 i \, a^{6} x^{3} - 6930 \, a^{6} x^{2} - 4620 i \, a^{6} x + 1155 \, a^{6}}"," ",0,"(32*x^3 + 144*I*x^2 - 276*x - 318*I)*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)/(1155*a^6*x^4 + 4620*I*a^6*x^3 - 6930*a^6*x^2 - 4620*I*a^6*x + 1155*a^6)","A",0
1184,1,204,0,1.475494," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),x, algorithm=""fricas"")","\frac{\sqrt{9 i} a \log\left(\frac{\sqrt{9 i} {\left(a x + i \, a\right)} + 3 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{3 \, x + 3 i}\right) - \sqrt{9 i} a \log\left(-\frac{\sqrt{9 i} {\left(a x + i \, a\right)} - 3 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{3 \, x + 3 i}\right) + \sqrt{-9 i} a \log\left(\frac{\sqrt{-9 i} {\left(a x + i \, a\right)} + 3 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{3 \, x + 3 i}\right) - \sqrt{-9 i} a \log\left(-\frac{\sqrt{-9 i} {\left(a x + i \, a\right)} - 3 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{3 \, x + 3 i}\right) - 2 i \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{2 \, a}"," ",0,"1/2*(sqrt(9*I)*a*log((sqrt(9*I)*(a*x + I*a) + 3*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(3*x + 3*I)) - sqrt(9*I)*a*log(-(sqrt(9*I)*(a*x + I*a) - 3*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(3*x + 3*I)) + sqrt(-9*I)*a*log((sqrt(-9*I)*(a*x + I*a) + 3*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(3*x + 3*I)) - sqrt(-9*I)*a*log(-(sqrt(-9*I)*(a*x + I*a) - 3*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(3*x + 3*I)) - 2*I*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/a","A",0
1185,1,227,0,1.410882," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(3/4),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{\frac{4 i}{a^{2}}} \log\left(\frac{{\left(a^{2} x + i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} + 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{2 \, x + 2 i}\right) - \frac{1}{2} \, \sqrt{\frac{4 i}{a^{2}}} \log\left(-\frac{{\left(a^{2} x + i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} - 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{2 \, x + 2 i}\right) + \frac{1}{2} \, \sqrt{-\frac{4 i}{a^{2}}} \log\left(\frac{{\left(a^{2} x + i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} + 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{2 \, x + 2 i}\right) - \frac{1}{2} \, \sqrt{-\frac{4 i}{a^{2}}} \log\left(-\frac{{\left(a^{2} x + i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} - 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{2 \, x + 2 i}\right)"," ",0,"1/2*sqrt(4*I/a^2)*log(((a^2*x + I*a^2)*sqrt(4*I/a^2) + 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(2*x + 2*I)) - 1/2*sqrt(4*I/a^2)*log(-((a^2*x + I*a^2)*sqrt(4*I/a^2) - 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(2*x + 2*I)) + 1/2*sqrt(-4*I/a^2)*log(((a^2*x + I*a^2)*sqrt(-4*I/a^2) + 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(2*x + 2*I)) - 1/2*sqrt(-4*I/a^2)*log(-((a^2*x + I*a^2)*sqrt(-4*I/a^2) - 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(2*x + 2*I))","A",0
1186,1,31,0,1.416372," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(3/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{a^{3} x + i \, a^{3}}"," ",0,"2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4)/(a^3*x + I*a^3)","A",0
1187,1,44,0,1.161498," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(3/4),x, algorithm=""fricas"")","\frac{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(4 \, x + 6 i\right)}}{5 \, {\left(a^{4} x^{2} + 2 i \, a^{4} x - a^{4}\right)}}"," ",0,"1/5*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4)*(4*x + 6*I)/(a^4*x^2 + 2*I*a^4*x - a^4)","A",0
1188,1,58,0,1.400426," ","integrate(1/(a-I*a*x)^(13/4)/(a+I*a*x)^(3/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(8 \, x^{2} + 20 i \, x - 17\right)}}{45 \, a^{5} x^{3} + 135 i \, a^{5} x^{2} - 135 \, a^{5} x - 45 i \, a^{5}}"," ",0,"2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4)*(8*x^2 + 20*I*x - 17)/(45*a^5*x^3 + 135*I*a^5*x^2 - 135*a^5*x - 45*I*a^5)","A",0
1189,0,0,0,1.089021," ","integrate((a-I*a*x)^(5/4)/(a+I*a*x)^(3/4),x, algorithm=""fricas"")","-\frac{1}{3} \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(2 \, x + 12 i\right)} + {\rm integral}\left(\frac{5 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{3 \, {\left(x^{2} + 1\right)}}, x\right)"," ",0,"-1/3*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)*(2*x + 12*I) + integral(5/3*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)/(x^2 + 1), x)","F",0
1190,0,0,0,1.257558," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(3/4),x, algorithm=""fricas"")","\frac{a {\rm integral}\left(\frac{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{a x^{2} + a}, x\right) - 2 i \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{a}"," ",0,"(a*integral((I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)/(a*x^2 + a), x) - 2*I*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4))/a","F",0
1191,0,0,0,1.586563," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{a^{2} x^{2} + a^{2}}, x\right)"," ",0,"integral((I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)/(a^2*x^2 + a^2), x)","F",0
1192,0,0,0,1.487965," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(3/4),x, algorithm=""fricas"")","\frac{{\left(3 \, a^{3} x + 3 i \, a^{3}\right)} {\rm integral}\left(\frac{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{3 \, {\left(a^{3} x^{2} + a^{3}\right)}}, x\right) + 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{3 \, a^{3} x + 3 i \, a^{3}}"," ",0,"((3*a^3*x + 3*I*a^3)*integral(1/3*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)/(a^3*x^2 + a^3), x) + 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4))/(3*a^3*x + 3*I*a^3)","F",0
1193,0,0,0,1.432763," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(3/4),x, algorithm=""fricas"")","\frac{7 \, {\left(a^{4} x^{2} + 2 i \, a^{4} x - a^{4}\right)} {\rm integral}\left(\frac{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{7 \, {\left(a^{4} x^{2} + a^{4}\right)}}, x\right) + {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(2 \, x + 4 i\right)}}{7 \, {\left(a^{4} x^{2} + 2 i \, a^{4} x - a^{4}\right)}}"," ",0,"1/7*(7*(a^4*x^2 + 2*I*a^4*x - a^4)*integral(1/7*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)/(a^4*x^2 + a^4), x) + (I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)*(2*x + 4*I))/(a^4*x^2 + 2*I*a^4*x - a^4)","F",0
1194,1,244,0,1.425351," ","integrate((a-I*a*x)^(7/4)/(a+I*a*x)^(7/4),x, algorithm=""fricas"")","-\frac{\sqrt{49 i} {\left(3 \, a x - 3 i \, a\right)} \log\left(\frac{\sqrt{49 i} {\left(a x + i \, a\right)} + 7 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{7 \, x + 7 i}\right) - \sqrt{49 i} {\left(3 \, a x - 3 i \, a\right)} \log\left(-\frac{\sqrt{49 i} {\left(a x + i \, a\right)} - 7 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{7 \, x + 7 i}\right) + \sqrt{-49 i} {\left(3 \, a x - 3 i \, a\right)} \log\left(\frac{\sqrt{-49 i} {\left(a x + i \, a\right)} + 7 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{7 \, x + 7 i}\right) - \sqrt{-49 i} {\left(3 \, a x - 3 i \, a\right)} \log\left(-\frac{\sqrt{-49 i} {\left(a x + i \, a\right)} - 7 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{7 \, x + 7 i}\right) + 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(-3 i \, x - 11\right)}}{6 \, a x - 6 i \, a}"," ",0,"-(sqrt(49*I)*(3*a*x - 3*I*a)*log((sqrt(49*I)*(a*x + I*a) + 7*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(7*x + 7*I)) - sqrt(49*I)*(3*a*x - 3*I*a)*log(-(sqrt(49*I)*(a*x + I*a) - 7*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(7*x + 7*I)) + sqrt(-49*I)*(3*a*x - 3*I*a)*log((sqrt(-49*I)*(a*x + I*a) + 7*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(7*x + 7*I)) - sqrt(-49*I)*(3*a*x - 3*I*a)*log(-(sqrt(-49*I)*(a*x + I*a) - 7*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(7*x + 7*I)) + 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4)*(-3*I*x - 11))/(6*a*x - 6*I*a)","A",0
1195,1,307,0,0.844381," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(7/4),x, algorithm=""fricas"")","-\frac{{\left(3 \, a^{2} x - 3 i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} \log\left(\frac{{\left(a^{2} x + i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} + 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{2 \, x + 2 i}\right) - {\left(3 \, a^{2} x - 3 i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} \log\left(-\frac{{\left(a^{2} x + i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} - 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{2 \, x + 2 i}\right) + {\left(3 \, a^{2} x - 3 i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} \log\left(\frac{{\left(a^{2} x + i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} + 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{2 \, x + 2 i}\right) - {\left(3 \, a^{2} x - 3 i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} \log\left(-\frac{{\left(a^{2} x + i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} - 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{2 \, x + 2 i}\right) - 8 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{6 \, a^{2} x - 6 i \, a^{2}}"," ",0,"-((3*a^2*x - 3*I*a^2)*sqrt(4*I/a^2)*log(((a^2*x + I*a^2)*sqrt(4*I/a^2) + 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(2*x + 2*I)) - (3*a^2*x - 3*I*a^2)*sqrt(4*I/a^2)*log(-((a^2*x + I*a^2)*sqrt(4*I/a^2) - 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(2*x + 2*I)) + (3*a^2*x - 3*I*a^2)*sqrt(-4*I/a^2)*log(((a^2*x + I*a^2)*sqrt(-4*I/a^2) + 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(2*x + 2*I)) - (3*a^2*x - 3*I*a^2)*sqrt(-4*I/a^2)*log(-((a^2*x + I*a^2)*sqrt(-4*I/a^2) - 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(2*x + 2*I)) - 8*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4))/(6*a^2*x - 6*I*a^2)","A",0
1196,1,32,0,1.509464," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(7/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{3 \, a^{3} x - 3 i \, a^{3}}"," ",0,"2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4)/(3*a^3*x - 3*I*a^3)","A",0
1197,1,36,0,1.099236," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(7/4),x, algorithm=""fricas"")","\frac{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(4 \, x - 2 i\right)}}{3 \, {\left(a^{4} x^{2} + a^{4}\right)}}"," ",0,"1/3*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4)*(4*x - 2*I)/(a^4*x^2 + a^4)","A",0
1198,1,58,0,1.514037," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(7/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(8 \, x^{2} + 4 i \, x + 7\right)}}{15 \, a^{5} x^{3} + 15 i \, a^{5} x^{2} + 15 \, a^{5} x + 15 i \, a^{5}}"," ",0,"2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(3/4)*(8*x^2 + 4*I*x + 7)/(15*a^5*x^3 + 15*I*a^5*x^2 + 15*a^5*x + 15*I*a^5)","A",0
1199,0,0,0,1.543517," ","integrate((a-I*a*x)^(9/4)/(a+I*a*x)^(7/4),x, algorithm=""fricas"")","\frac{{\left(3 \, x - 3 i\right)} {\rm integral}\left(-\frac{5 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{x^{2} + 1}, x\right) + 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(x^{2} + 11 i \, x + 20\right)}}{3 \, x - 3 i}"," ",0,"((3*x - 3*I)*integral(-5*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)/(x^2 + 1), x) + 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)*(x^2 + 11*I*x + 20))/(3*x - 3*I)","F",0
1200,0,0,0,1.754453," ","integrate((a-I*a*x)^(5/4)/(a+I*a*x)^(7/4),x, algorithm=""fricas"")","\frac{{\left(3 \, a x - 3 i \, a\right)} {\rm integral}\left(-\frac{5 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{3 \, {\left(a x^{2} + a\right)}}, x\right) - 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(-3 i \, x - 7\right)}}{3 \, a x - 3 i \, a}"," ",0,"((3*a*x - 3*I*a)*integral(-5/3*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)/(a*x^2 + a), x) - 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)*(-3*I*x - 7))/(3*a*x - 3*I*a)","F",0
1201,0,0,0,0.960707," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(7/4),x, algorithm=""fricas"")","\frac{{\left(3 \, a^{2} x - 3 i \, a^{2}\right)} {\rm integral}\left(-\frac{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{3 \, {\left(a^{2} x^{2} + a^{2}\right)}}, x\right) + 4 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{3 \, a^{2} x - 3 i \, a^{2}}"," ",0,"((3*a^2*x - 3*I*a^2)*integral(-1/3*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)/(a^2*x^2 + a^2), x) + 4*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4))/(3*a^2*x - 3*I*a^2)","F",0
1202,0,0,0,1.639123," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(7/4),x, algorithm=""fricas"")","\frac{{\left(3 \, a^{3} x - 3 i \, a^{3}\right)} {\rm integral}\left(\frac{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{3 \, {\left(a^{3} x^{2} + a^{3}\right)}}, x\right) + 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{3 \, a^{3} x - 3 i \, a^{3}}"," ",0,"((3*a^3*x - 3*I*a^3)*integral(1/3*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)/(a^3*x^2 + a^3), x) + 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4))/(3*a^3*x - 3*I*a^3)","F",0
1203,0,0,0,1.387423," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(7/4),x, algorithm=""fricas"")","\frac{3 \, {\left(a^{4} x^{2} + a^{4}\right)} {\rm integral}\left(\frac{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{3 \, {\left(a^{4} x^{2} + a^{4}\right)}}, x\right) + 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} x}{3 \, {\left(a^{4} x^{2} + a^{4}\right)}}"," ",0,"1/3*(3*(a^4*x^2 + a^4)*integral(1/3*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)/(a^4*x^2 + a^4), x) + 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)*x)/(a^4*x^2 + a^4)","F",0
1204,0,0,0,1.592942," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(7/4),x, algorithm=""fricas"")","\frac{{\left(21 \, a^{5} x^{3} + 21 i \, a^{5} x^{2} + 21 \, a^{5} x + 21 i \, a^{5}\right)} {\rm integral}\left(\frac{5 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{21 \, {\left(a^{5} x^{2} + a^{5}\right)}}, x\right) + 2 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(5 \, x^{2} + 5 i \, x + 3\right)}}{21 \, a^{5} x^{3} + 21 i \, a^{5} x^{2} + 21 \, a^{5} x + 21 i \, a^{5}}"," ",0,"((21*a^5*x^3 + 21*I*a^5*x^2 + 21*a^5*x + 21*I*a^5)*integral(5/21*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)/(a^5*x^2 + a^5), x) + 2*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)*(5*x^2 + 5*I*x + 3))/(21*a^5*x^3 + 21*I*a^5*x^2 + 21*a^5*x + 21*I*a^5)","F",0
1205,0,0,0,1.451382," ","integrate(1/(a-I*a*x)^(15/4)/(a+I*a*x)^(7/4),x, algorithm=""fricas"")","\frac{{\left(33 \, a^{6} x^{4} + 66 i \, a^{6} x^{3} + 66 i \, a^{6} x - 33 \, a^{6}\right)} {\rm integral}\left(\frac{5 \, {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{33 \, {\left(a^{6} x^{2} + a^{6}\right)}}, x\right) + {\left(10 \, x^{3} + 20 i \, x^{2} - 4 \, x + 12 i\right)} {\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{33 \, a^{6} x^{4} + 66 i \, a^{6} x^{3} + 66 i \, a^{6} x - 33 \, a^{6}}"," ",0,"((33*a^6*x^4 + 66*I*a^6*x^3 + 66*I*a^6*x - 33*a^6)*integral(5/33*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4)/(a^6*x^2 + a^6), x) + (10*x^3 + 20*I*x^2 - 4*x + 12*I)*(I*a*x + a)^(1/4)*(-I*a*x + a)^(1/4))/(33*a^6*x^4 + 66*I*a^6*x^3 + 66*I*a^6*x - 33*a^6)","F",0
1206,0,0,0,0.934877," ","integrate((a-I*a*x)^(7/4)/(a+I*a*x)^(5/4),x, algorithm=""fricas"")","\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(2 i \, x^{2} - 16 \, x + 42 i\right)} + {\left(3 \, a x^{2} - 3 i \, a x\right)} {\rm integral}\left(-\frac{14 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{a x^{4} + a x^{2}}, x\right)}{3 \, a x^{2} - 3 i \, a x}"," ",0,"((I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)*(2*I*x^2 - 16*x + 42*I) + (3*a*x^2 - 3*I*a*x)*integral(-14*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a*x^4 + a*x^2), x))/(3*a*x^2 - 3*I*a*x)","F",0
1207,0,0,0,1.675183," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(5/4),x, algorithm=""fricas"")","-\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(2 \, x - 6 i\right)} - {\left(a^{2} x^{2} - i \, a^{2} x\right)} {\rm integral}\left(-\frac{6 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{a^{2} x^{4} + a^{2} x^{2}}, x\right)}{a^{2} x^{2} - i \, a^{2} x}"," ",0,"-((I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)*(2*x - 6*I) - (a^2*x^2 - I*a^2*x)*integral(-6*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^2*x^4 + a^2*x^2), x))/(a^2*x^2 - I*a^2*x)","F",0
1208,0,0,0,1.654913," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(5/4),x, algorithm=""fricas"")","\frac{{\left(a^{3} x^{2} - i \, a^{3} x\right)} {\rm integral}\left(-\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{a^{3} x^{4} + a^{3} x^{2}}, x\right) + 2 i \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{a^{3} x^{2} - i \, a^{3} x}"," ",0,"((a^3*x^2 - I*a^3*x)*integral(-2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^3*x^4 + a^3*x^2), x) + 2*I*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4))/(a^3*x^2 - I*a^3*x)","F",0
1209,0,0,0,1.443495," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(5/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} x + {\left(a^{4} x^{2} + a^{4}\right)} {\rm integral}\left(-\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{a^{4} x^{2} + a^{4}}, x\right)}{a^{4} x^{2} + a^{4}}"," ",0,"(2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)*x + (a^4*x^2 + a^4)*integral(-(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^4*x^2 + a^4), x))/(a^4*x^2 + a^4)","F",0
1210,0,0,0,1.540225," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(5/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(3 \, x^{2} + 3 i \, x + 1\right)} + {\left(5 \, a^{5} x^{3} + 5 i \, a^{5} x^{2} + 5 \, a^{5} x + 5 i \, a^{5}\right)} {\rm integral}\left(-\frac{3 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{5 \, {\left(a^{5} x^{2} + a^{5}\right)}}, x\right)}{5 \, a^{5} x^{3} + 5 i \, a^{5} x^{2} + 5 \, a^{5} x + 5 i \, a^{5}}"," ",0,"(2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)*(3*x^2 + 3*I*x + 1) + (5*a^5*x^3 + 5*I*a^5*x^2 + 5*a^5*x + 5*I*a^5)*integral(-3/5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^5*x^2 + a^5), x))/(5*a^5*x^3 + 5*I*a^5*x^2 + 5*a^5*x + 5*I*a^5)","F",0
1211,0,0,0,1.518008," ","integrate(1/(a-I*a*x)^(13/4)/(a+I*a*x)^(5/4),x, algorithm=""fricas"")","\frac{{\left(6 \, x^{3} + 12 i \, x^{2} - 4 \, x + 4 i\right)} {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} + {\left(9 \, a^{6} x^{4} + 18 i \, a^{6} x^{3} + 18 i \, a^{6} x - 9 \, a^{6}\right)} {\rm integral}\left(-\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{3 \, {\left(a^{6} x^{2} + a^{6}\right)}}, x\right)}{9 \, a^{6} x^{4} + 18 i \, a^{6} x^{3} + 18 i \, a^{6} x - 9 \, a^{6}}"," ",0,"((6*x^3 + 12*I*x^2 - 4*x + 4*I)*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4) + (9*a^6*x^4 + 18*I*a^6*x^3 + 18*I*a^6*x - 9*a^6)*integral(-1/3*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^6*x^2 + a^6), x))/(9*a^6*x^4 + 18*I*a^6*x^3 + 18*I*a^6*x - 9*a^6)","F",0
1212,1,240,0,1.281945," ","integrate((a-I*a*x)^(5/4)/(a+I*a*x)^(5/4),x, algorithm=""fricas"")","-\frac{\sqrt{25 i} {\left(a x - i \, a\right)} \log\left(\frac{\sqrt{25 i} {\left(a x - i \, a\right)} + 5 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{5 \, x - 5 i}\right) - \sqrt{25 i} {\left(a x - i \, a\right)} \log\left(-\frac{\sqrt{25 i} {\left(a x - i \, a\right)} - 5 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{5 \, x - 5 i}\right) + \sqrt{-25 i} {\left(a x - i \, a\right)} \log\left(\frac{\sqrt{-25 i} {\left(a x - i \, a\right)} + 5 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{5 \, x - 5 i}\right) - \sqrt{-25 i} {\left(a x - i \, a\right)} \log\left(-\frac{\sqrt{-25 i} {\left(a x - i \, a\right)} - 5 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{5 \, x - 5 i}\right) + 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, x - 9\right)}}{2 \, a x - 2 i \, a}"," ",0,"-(sqrt(25*I)*(a*x - I*a)*log((sqrt(25*I)*(a*x - I*a) + 5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(5*x - 5*I)) - sqrt(25*I)*(a*x - I*a)*log(-(sqrt(25*I)*(a*x - I*a) - 5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(5*x - 5*I)) + sqrt(-25*I)*(a*x - I*a)*log((sqrt(-25*I)*(a*x - I*a) + 5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(5*x - 5*I)) - sqrt(-25*I)*(a*x - I*a)*log(-(sqrt(-25*I)*(a*x - I*a) - 5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(5*x - 5*I)) + 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)*(-I*x - 9))/(2*a*x - 2*I*a)","A",0
1213,1,303,0,0.934615," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(5/4),x, algorithm=""fricas"")","-\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} \log\left(\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} + 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, x - 2 i}\right) - {\left(a^{2} x - i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} \log\left(-\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} - 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, x - 2 i}\right) + {\left(a^{2} x - i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} \log\left(\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} + 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, x - 2 i}\right) - {\left(a^{2} x - i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} \log\left(-\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} - 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, x - 2 i}\right) - 8 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, a^{2} x - 2 i \, a^{2}}"," ",0,"-((a^2*x - I*a^2)*sqrt(4*I/a^2)*log(((a^2*x - I*a^2)*sqrt(4*I/a^2) + 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*x - 2*I)) - (a^2*x - I*a^2)*sqrt(4*I/a^2)*log(-((a^2*x - I*a^2)*sqrt(4*I/a^2) - 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*x - 2*I)) + (a^2*x - I*a^2)*sqrt(-4*I/a^2)*log(((a^2*x - I*a^2)*sqrt(-4*I/a^2) + 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*x - 2*I)) - (a^2*x - I*a^2)*sqrt(-4*I/a^2)*log(-((a^2*x - I*a^2)*sqrt(-4*I/a^2) - 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*x - 2*I)) - 8*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*a^2*x - 2*I*a^2)","A",0
1214,1,31,0,0.969553," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(5/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{a^{3} x - i \, a^{3}}"," ",0,"2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)/(a^3*x - I*a^3)","A",0
1215,1,36,0,1.495748," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(5/4),x, algorithm=""fricas"")","\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(4 \, x + 2 i\right)}}{3 \, {\left(a^{4} x^{2} + a^{4}\right)}}"," ",0,"1/3*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)*(4*x + 2*I)/(a^4*x^2 + a^4)","A",0
1216,1,58,0,0.879992," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(5/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(8 \, x^{2} + 12 i \, x - 1\right)}}{21 \, a^{5} x^{3} + 21 i \, a^{5} x^{2} + 21 \, a^{5} x + 21 i \, a^{5}}"," ",0,"2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)*(8*x^2 + 12*I*x - 1)/(21*a^5*x^3 + 21*I*a^5*x^2 + 21*a^5*x + 21*I*a^5)","A",0
1217,0,0,0,1.626995," ","integrate((a-I*a*x)^(7/4)/(a+I*a*x)^(9/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(5 \, x^{2} - 30 i \, x - 21\right)} + 5 \, {\left(a^{2} x^{3} - 2 i \, a^{2} x^{2} - a^{2} x\right)} {\rm integral}\left(\frac{42 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{5 \, {\left(a^{2} x^{4} + a^{2} x^{2}\right)}}, x\right)}{5 \, {\left(a^{2} x^{3} - 2 i \, a^{2} x^{2} - a^{2} x\right)}}"," ",0,"1/5*(2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)*(5*x^2 - 30*I*x - 21) + 5*(a^2*x^3 - 2*I*a^2*x^2 - a^2*x)*integral(42/5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^2*x^4 + a^2*x^2), x))/(a^2*x^3 - 2*I*a^2*x^2 - a^2*x)","F",0
1218,0,0,0,1.083250," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(9/4),x, algorithm=""fricas"")","-\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(5 i \, x + 3\right)} - 5 \, {\left(a^{3} x^{3} - 2 i \, a^{3} x^{2} - a^{3} x\right)} {\rm integral}\left(\frac{6 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{5 \, {\left(a^{3} x^{4} + a^{3} x^{2}\right)}}, x\right)}{5 \, {\left(a^{3} x^{3} - 2 i \, a^{3} x^{2} - a^{3} x\right)}}"," ",0,"-1/5*(2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)*(5*I*x + 3) - 5*(a^3*x^3 - 2*I*a^3*x^2 - a^3*x)*integral(6/5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^3*x^4 + a^3*x^2), x))/(a^3*x^3 - 2*I*a^3*x^2 - a^3*x)","F",0
1219,0,0,0,0.915329," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(9/4),x, algorithm=""fricas"")","\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(2 \, x - 4 i\right)} + 5 \, {\left(a^{4} x^{2} - 2 i \, a^{4} x - a^{4}\right)} {\rm integral}\left(-\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{5 \, {\left(a^{4} x^{2} + a^{4}\right)}}, x\right)}{5 \, {\left(a^{4} x^{2} - 2 i \, a^{4} x - a^{4}\right)}}"," ",0,"1/5*((I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)*(2*x - 4*I) + 5*(a^4*x^2 - 2*I*a^4*x - a^4)*integral(-1/5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^4*x^2 + a^4), x))/(a^4*x^2 - 2*I*a^4*x - a^4)","F",0
1220,0,0,0,0.902550," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(9/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} {\left(3 \, x^{2} - 3 i \, x + 1\right)} + {\left(5 \, a^{5} x^{3} - 5 i \, a^{5} x^{2} + 5 \, a^{5} x - 5 i \, a^{5}\right)} {\rm integral}\left(-\frac{3 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{5 \, {\left(a^{5} x^{2} + a^{5}\right)}}, x\right)}{5 \, a^{5} x^{3} - 5 i \, a^{5} x^{2} + 5 \, a^{5} x - 5 i \, a^{5}}"," ",0,"(2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)*(3*x^2 - 3*I*x + 1) + (5*a^5*x^3 - 5*I*a^5*x^2 + 5*a^5*x - 5*I*a^5)*integral(-3/5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^5*x^2 + a^5), x))/(5*a^5*x^3 - 5*I*a^5*x^2 + 5*a^5*x - 5*I*a^5)","F",0
1221,0,0,0,1.662168," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(9/4),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, x^{3} + 4 \, x\right)} {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} + 5 \, {\left(a^{6} x^{4} + 2 \, a^{6} x^{2} + a^{6}\right)} {\rm integral}\left(-\frac{3 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{5 \, {\left(a^{6} x^{2} + a^{6}\right)}}, x\right)}{5 \, {\left(a^{6} x^{4} + 2 \, a^{6} x^{2} + a^{6}\right)}}"," ",0,"1/5*(2*(3*x^3 + 4*x)*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4) + 5*(a^6*x^4 + 2*a^6*x^2 + a^6)*integral(-3/5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^6*x^2 + a^6), x))/(a^6*x^4 + 2*a^6*x^2 + a^6)","F",0
1222,0,0,0,0.931322," ","integrate(1/(a-I*a*x)^(13/4)/(a+I*a*x)^(9/4),x, algorithm=""fricas"")","\frac{{\left(42 \, x^{4} + 42 i \, x^{3} + 56 \, x^{2} + 56 i \, x + 10\right)} {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} + {\left(45 \, a^{7} x^{5} + 45 i \, a^{7} x^{4} + 90 \, a^{7} x^{3} + 90 i \, a^{7} x^{2} + 45 \, a^{7} x + 45 i \, a^{7}\right)} {\rm integral}\left(-\frac{7 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{15 \, {\left(a^{7} x^{2} + a^{7}\right)}}, x\right)}{45 \, a^{7} x^{5} + 45 i \, a^{7} x^{4} + 90 \, a^{7} x^{3} + 90 i \, a^{7} x^{2} + 45 \, a^{7} x + 45 i \, a^{7}}"," ",0,"((42*x^4 + 42*I*x^3 + 56*x^2 + 56*I*x + 10)*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4) + (45*a^7*x^5 + 45*I*a^7*x^4 + 90*a^7*x^3 + 90*I*a^7*x^2 + 45*a^7*x + 45*I*a^7)*integral(-7/15*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^7*x^2 + a^7), x))/(45*a^7*x^5 + 45*I*a^7*x^4 + 90*a^7*x^3 + 90*I*a^7*x^2 + 45*a^7*x + 45*I*a^7)","F",0
1223,0,0,0,1.842405," ","integrate(1/(a-I*a*x)^(17/4)/(a+I*a*x)^(9/4),x, algorithm=""fricas"")","\frac{{\left(42 \, x^{5} + 84 i \, x^{4} + 14 \, x^{3} + 112 i \, x^{2} - 46 \, x + 20 i\right)} {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}} + {\left(65 \, a^{8} x^{6} + 130 i \, a^{8} x^{5} + 65 \, a^{8} x^{4} + 260 i \, a^{8} x^{3} - 65 \, a^{8} x^{2} + 130 i \, a^{8} x - 65 \, a^{8}\right)} {\rm integral}\left(-\frac{21 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}{65 \, {\left(a^{8} x^{2} + a^{8}\right)}}, x\right)}{65 \, a^{8} x^{6} + 130 i \, a^{8} x^{5} + 65 \, a^{8} x^{4} + 260 i \, a^{8} x^{3} - 65 \, a^{8} x^{2} + 130 i \, a^{8} x - 65 \, a^{8}}"," ",0,"((42*x^5 + 84*I*x^4 + 14*x^3 + 112*I*x^2 - 46*x + 20*I)*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4) + (65*a^8*x^6 + 130*I*a^8*x^5 + 65*a^8*x^4 + 260*I*a^8*x^3 - 65*a^8*x^2 + 130*I*a^8*x - 65*a^8)*integral(-21/65*(I*a*x + a)^(3/4)*(-I*a*x + a)^(3/4)/(a^8*x^2 + a^8), x))/(65*a^8*x^6 + 130*I*a^8*x^5 + 65*a^8*x^4 + 260*I*a^8*x^3 - 65*a^8*x^2 + 130*I*a^8*x - 65*a^8)","F",0
1224,1,351,0,1.486424," ","integrate((a-I*a*x)^(5/4)/(a+I*a*x)^(9/4),x, algorithm=""fricas"")","\frac{{\left(5 \, a^{2} x^{2} - 10 i \, a^{2} x - 5 \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} \log\left(\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} + 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, x - 2 i}\right) - {\left(5 \, a^{2} x^{2} - 10 i \, a^{2} x - 5 \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} \log\left(-\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{\frac{4 i}{a^{2}}} - 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, x - 2 i}\right) + {\left(5 \, a^{2} x^{2} - 10 i \, a^{2} x - 5 \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} \log\left(\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} + 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, x - 2 i}\right) - {\left(5 \, a^{2} x^{2} - 10 i \, a^{2} x - 5 \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} \log\left(-\frac{{\left(a^{2} x - i \, a^{2}\right)} \sqrt{-\frac{4 i}{a^{2}}} - 2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{2 \, x - 2 i}\right) - {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(48 \, x - 32 i\right)}}{10 \, a^{2} x^{2} - 20 i \, a^{2} x - 10 \, a^{2}}"," ",0,"((5*a^2*x^2 - 10*I*a^2*x - 5*a^2)*sqrt(4*I/a^2)*log(((a^2*x - I*a^2)*sqrt(4*I/a^2) + 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*x - 2*I)) - (5*a^2*x^2 - 10*I*a^2*x - 5*a^2)*sqrt(4*I/a^2)*log(-((a^2*x - I*a^2)*sqrt(4*I/a^2) - 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*x - 2*I)) + (5*a^2*x^2 - 10*I*a^2*x - 5*a^2)*sqrt(-4*I/a^2)*log(((a^2*x - I*a^2)*sqrt(-4*I/a^2) + 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*x - 2*I)) - (5*a^2*x^2 - 10*I*a^2*x - 5*a^2)*sqrt(-4*I/a^2)*log(-((a^2*x - I*a^2)*sqrt(-4*I/a^2) - 2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4))/(2*x - 2*I)) - (I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)*(48*x - 32*I))/(10*a^2*x^2 - 20*I*a^2*x - 10*a^2)","A",0
1225,1,45,0,1.428903," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(9/4),x, algorithm=""fricas"")","-\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(2 \, x + 2 i\right)}}{5 \, a^{3} x^{2} - 10 i \, a^{3} x - 5 \, a^{3}}"," ",0,"-(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)*(2*x + 2*I)/(5*a^3*x^2 - 10*I*a^3*x - 5*a^3)","B",0
1226,1,44,0,1.360938," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(9/4),x, algorithm=""fricas"")","\frac{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(4 \, x - 6 i\right)}}{5 \, {\left(a^{4} x^{2} - 2 i \, a^{4} x - a^{4}\right)}}"," ",0,"1/5*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)*(4*x - 6*I)/(a^4*x^2 - 2*I*a^4*x - a^4)","A",0
1227,1,58,0,1.266222," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(9/4),x, algorithm=""fricas"")","\frac{2 \, {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}} {\left(8 \, x^{2} - 4 i \, x + 7\right)}}{15 \, a^{5} x^{3} - 15 i \, a^{5} x^{2} + 15 \, a^{5} x - 15 i \, a^{5}}"," ",0,"2*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)*(8*x^2 - 4*I*x + 7)/(15*a^5*x^3 - 15*I*a^5*x^2 + 15*a^5*x - 15*I*a^5)","A",0
1228,1,54,0,1.489612," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(9/4),x, algorithm=""fricas"")","\frac{{\left(32 \, x^{3} + 16 i \, x^{2} + 44 \, x + 18 i\right)} {\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}{35 \, {\left(a^{6} x^{4} + 2 \, a^{6} x^{2} + a^{6}\right)}}"," ",0,"1/35*(32*x^3 + 16*I*x^2 + 44*x + 18*I)*(I*a*x + a)^(3/4)*(-I*a*x + a)^(1/4)/(a^6*x^4 + 2*a^6*x^2 + a^6)","A",0
1229,1,128,0,1.245040," ","integrate((b*x+a)^2*(-b*c*x+a*c)^n,x, algorithm=""fricas"")","-\frac{{\left(a^{3} n^{2} + 7 \, a^{3} n - {\left(b^{3} n^{2} + 3 \, b^{3} n + 2 \, b^{3}\right)} x^{3} + 14 \, a^{3} - {\left(a b^{2} n^{2} + 7 \, a b^{2} n + 6 \, a b^{2}\right)} x^{2} + {\left(a^{2} b n^{2} + 3 \, a^{2} b n - 6 \, a^{2} b\right)} x\right)} {\left(-b c x + a c\right)}^{n}}{b n^{3} + 6 \, b n^{2} + 11 \, b n + 6 \, b}"," ",0,"-(a^3*n^2 + 7*a^3*n - (b^3*n^2 + 3*b^3*n + 2*b^3)*x^3 + 14*a^3 - (a*b^2*n^2 + 7*a*b^2*n + 6*a*b^2)*x^2 + (a^2*b*n^2 + 3*a^2*b*n - 6*a^2*b)*x)*(-b*c*x + a*c)^n/(b*n^3 + 6*b*n^2 + 11*b*n + 6*b)","A",0
1230,1,58,0,1.344089," ","integrate((b*x+a)*(-b*c*x+a*c)^n,x, algorithm=""fricas"")","-\frac{{\left(a^{2} n - 2 \, a b x - {\left(b^{2} n + b^{2}\right)} x^{2} + 3 \, a^{2}\right)} {\left(-b c x + a c\right)}^{n}}{b n^{2} + 3 \, b n + 2 \, b}"," ",0,"-(a^2*n - 2*a*b*x - (b^2*n + b^2)*x^2 + 3*a^2)*(-b*c*x + a*c)^n/(b*n^2 + 3*b*n + 2*b)","A",0
1231,0,0,0,1.503810," ","integrate((-b*c*x+a*c)^n/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b c x + a c\right)}^{n}}{b x + a}, x\right)"," ",0,"integral((-b*c*x + a*c)^n/(b*x + a), x)","F",0
1232,0,0,0,1.573178," ","integrate((-b*c*x+a*c)^n/(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-b c x + a c\right)}^{n}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral((-b*c*x + a*c)^n/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1233,0,0,0,1.712204," ","integrate((a*x+a)^m*(-c*x+c)^m,x, algorithm=""fricas"")","{\rm integral}\left({\left(a x + a\right)}^{m} {\left(-c x + c\right)}^{m}, x\right)"," ",0,"integral((a*x + a)^m*(-c*x + c)^m, x)","F",0
1234,0,0,0,1.573940," ","integrate((b*x+a)^m*(-b*c*x+a*c)^m,x, algorithm=""fricas"")","{\rm integral}\left({\left(-b c x + a c\right)}^{m} {\left(b x + a\right)}^{m}, x\right)"," ",0,"integral((-b*c*x + a*c)^m*(b*x + a)^m, x)","F",0
1235,0,0,0,1.496811," ","integrate((3-6*x)^m*(4*x+2)^m,x, algorithm=""fricas"")","{\rm integral}\left({\left(4 \, x + 2\right)}^{m} {\left(-6 \, x + 3\right)}^{m}, x\right)"," ",0,"integral((4*x + 2)^m*(-6*x + 3)^m, x)","F",0
1236,1,97,0,1.203375," ","integrate((b*x+a)^4*(d*x+c),x, algorithm=""fricas"")","\frac{1}{6} x^{6} d b^{4} + \frac{1}{5} x^{5} c b^{4} + \frac{4}{5} x^{5} d b^{3} a + x^{4} c b^{3} a + \frac{3}{2} x^{4} d b^{2} a^{2} + 2 x^{3} c b^{2} a^{2} + \frac{4}{3} x^{3} d b a^{3} + 2 x^{2} c b a^{3} + \frac{1}{2} x^{2} d a^{4} + x c a^{4}"," ",0,"1/6*x^6*d*b^4 + 1/5*x^5*c*b^4 + 4/5*x^5*d*b^3*a + x^4*c*b^3*a + 3/2*x^4*d*b^2*a^2 + 2*x^3*c*b^2*a^2 + 4/3*x^3*d*b*a^3 + 2*x^2*c*b*a^3 + 1/2*x^2*d*a^4 + x*c*a^4","B",0
1237,1,72,0,1.410511," ","integrate((b*x+a)^3*(d*x+c),x, algorithm=""fricas"")","\frac{1}{5} x^{5} d b^{3} + \frac{1}{4} x^{4} c b^{3} + \frac{3}{4} x^{4} d b^{2} a + x^{3} c b^{2} a + x^{3} d b a^{2} + \frac{3}{2} x^{2} c b a^{2} + \frac{1}{2} x^{2} d a^{3} + x c a^{3}"," ",0,"1/5*x^5*d*b^3 + 1/4*x^4*c*b^3 + 3/4*x^4*d*b^2*a + x^3*c*b^2*a + x^3*d*b*a^2 + 3/2*x^2*c*b*a^2 + 1/2*x^2*d*a^3 + x*c*a^3","B",0
1238,1,49,0,1.728219," ","integrate((b*x+a)^2*(d*x+c),x, algorithm=""fricas"")","\frac{1}{4} x^{4} d b^{2} + \frac{1}{3} x^{3} c b^{2} + \frac{2}{3} x^{3} d b a + x^{2} c b a + \frac{1}{2} x^{2} d a^{2} + x c a^{2}"," ",0,"1/4*x^4*d*b^2 + 1/3*x^3*c*b^2 + 2/3*x^3*d*b*a + x^2*c*b*a + 1/2*x^2*d*a^2 + x*c*a^2","A",0
1239,1,26,0,1.558356," ","integrate((b*x+a)*(d*x+c),x, algorithm=""fricas"")","\frac{1}{3} x^{3} d b + \frac{1}{2} x^{2} c b + \frac{1}{2} x^{2} d a + x c a"," ",0,"1/3*x^3*d*b + 1/2*x^2*c*b + 1/2*x^2*d*a + x*c*a","A",0
1240,1,10,0,1.457353," ","integrate(d*x+c,x, algorithm=""fricas"")","\frac{1}{2} x^{2} d + x c"," ",0,"1/2*x^2*d + x*c","A",0
1241,1,24,0,1.697581," ","integrate((d*x+c)/(b*x+a),x, algorithm=""fricas"")","\frac{b d x + {\left(b c - a d\right)} \log\left(b x + a\right)}{b^{2}}"," ",0,"(b*d*x + (b*c - a*d)*log(b*x + a))/b^2","A",0
1242,1,39,0,1.682198," ","integrate((d*x+c)/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{b c - a d - {\left(b d x + a d\right)} \log\left(b x + a\right)}{b^{3} x + a b^{2}}"," ",0,"-(b*c - a*d - (b*d*x + a*d)*log(b*x + a))/(b^3*x + a*b^2)","A",0
1243,1,38,0,1.747535," ","integrate((d*x+c)/(b*x+a)^3,x, algorithm=""fricas"")","-\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
1244,1,50,0,1.754193," ","integrate((d*x+c)/(b*x+a)^4,x, algorithm=""fricas"")","-\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
1245,1,61,0,1.201837," ","integrate((d*x+c)/(b*x+a)^5,x, algorithm=""fricas"")","-\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
1246,1,170,0,1.105319," ","integrate((b*x+a)^4*(d*x+c)^2,x, algorithm=""fricas"")","\frac{1}{7} x^{7} d^{2} b^{4} + \frac{1}{3} x^{6} d c b^{4} + \frac{2}{3} x^{6} d^{2} b^{3} a + \frac{1}{5} x^{5} c^{2} b^{4} + \frac{8}{5} x^{5} d c b^{3} a + \frac{6}{5} x^{5} d^{2} b^{2} a^{2} + x^{4} c^{2} b^{3} a + 3 x^{4} d c b^{2} a^{2} + x^{4} d^{2} b a^{3} + 2 x^{3} c^{2} b^{2} a^{2} + \frac{8}{3} x^{3} d c b a^{3} + \frac{1}{3} x^{3} d^{2} a^{4} + 2 x^{2} c^{2} b a^{3} + x^{2} d c a^{4} + x c^{2} a^{4}"," ",0,"1/7*x^7*d^2*b^4 + 1/3*x^6*d*c*b^4 + 2/3*x^6*d^2*b^3*a + 1/5*x^5*c^2*b^4 + 8/5*x^5*d*c*b^3*a + 6/5*x^5*d^2*b^2*a^2 + x^4*c^2*b^3*a + 3*x^4*d*c*b^2*a^2 + x^4*d^2*b*a^3 + 2*x^3*c^2*b^2*a^2 + 8/3*x^3*d*c*b*a^3 + 1/3*x^3*d^2*a^4 + 2*x^2*c^2*b*a^3 + x^2*d*c*a^4 + x*c^2*a^4","B",0
1247,1,130,0,1.564520," ","integrate((b*x+a)^3*(d*x+c)^2,x, algorithm=""fricas"")","\frac{1}{6} x^{6} d^{2} b^{3} + \frac{2}{5} x^{5} d c b^{3} + \frac{3}{5} x^{5} d^{2} b^{2} a + \frac{1}{4} x^{4} c^{2} b^{3} + \frac{3}{2} x^{4} d c b^{2} a + \frac{3}{4} x^{4} d^{2} b a^{2} + x^{3} c^{2} b^{2} a + 2 x^{3} d c b a^{2} + \frac{1}{3} x^{3} d^{2} a^{3} + \frac{3}{2} x^{2} c^{2} b a^{2} + x^{2} d c a^{3} + x c^{2} a^{3}"," ",0,"1/6*x^6*d^2*b^3 + 2/5*x^5*d*c*b^3 + 3/5*x^5*d^2*b^2*a + 1/4*x^4*c^2*b^3 + 3/2*x^4*d*c*b^2*a + 3/4*x^4*d^2*b*a^2 + x^3*c^2*b^2*a + 2*x^3*d*c*b*a^2 + 1/3*x^3*d^2*a^3 + 3/2*x^2*c^2*b*a^2 + x^2*d*c*a^3 + x*c^2*a^3","B",0
1248,1,89,0,1.332968," ","integrate((b*x+a)^2*(d*x+c)^2,x, algorithm=""fricas"")","\frac{1}{5} x^{5} d^{2} b^{2} + \frac{1}{2} x^{4} d c b^{2} + \frac{1}{2} x^{4} d^{2} b a + \frac{1}{3} x^{3} c^{2} b^{2} + \frac{4}{3} x^{3} d c b a + \frac{1}{3} x^{3} d^{2} a^{2} + x^{2} c^{2} b a + x^{2} d c a^{2} + x c^{2} a^{2}"," ",0,"1/5*x^5*d^2*b^2 + 1/2*x^4*d*c*b^2 + 1/2*x^4*d^2*b*a + 1/3*x^3*c^2*b^2 + 4/3*x^3*d*c*b*a + 1/3*x^3*d^2*a^2 + x^2*c^2*b*a + x^2*d*c*a^2 + x*c^2*a^2","A",0
1249,1,49,0,1.182595," ","integrate((b*x+a)*(d*x+c)^2,x, algorithm=""fricas"")","\frac{1}{4} x^{4} d^{2} b + \frac{2}{3} x^{3} d c b + \frac{1}{3} x^{3} d^{2} a + \frac{1}{2} x^{2} c^{2} b + x^{2} d c a + x c^{2} a"," ",0,"1/4*x^4*d^2*b + 2/3*x^3*d*c*b + 1/3*x^3*d^2*a + 1/2*x^2*c^2*b + x^2*d*c*a + x*c^2*a","A",0
1250,1,20,0,1.249227," ","integrate((d*x+c)^2,x, algorithm=""fricas"")","\frac{1}{3} x^{3} d^{2} + x^{2} d c + x c^{2}"," ",0,"1/3*x^3*d^2 + x^2*d*c + x*c^2","A",0
1251,1,63,0,0.838760," ","integrate((d*x+c)^2/(b*x+a),x, algorithm=""fricas"")","\frac{b^{2} d^{2} x^{2} + 2 \, {\left(2 \, b^{2} c d - a b d^{2}\right)} x + 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left(b x + a\right)}{2 \, b^{3}}"," ",0,"1/2*(b^2*d^2*x^2 + 2*(2*b^2*c*d - a*b*d^2)*x + 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(b*x + a))/b^3","A",0
1252,1,92,0,1.419588," ","integrate((d*x+c)^2/(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{2} d^{2} x^{2} + a b d^{2} x - b^{2} c^{2} + 2 \, a b c d - a^{2} d^{2} + 2 \, {\left(a b c d - a^{2} d^{2} + {\left(b^{2} c d - a b d^{2}\right)} x\right)} \log\left(b x + a\right)}{b^{4} x + a b^{3}}"," ",0,"(b^2*d^2*x^2 + a*b*d^2*x - b^2*c^2 + 2*a*b*c*d - a^2*d^2 + 2*(a*b*c*d - a^2*d^2 + (b^2*c*d - a*b*d^2)*x)*log(b*x + a))/(b^4*x + a*b^3)","A",0
1253,1,99,0,1.144052," ","integrate((d*x+c)^2/(b*x+a)^3,x, algorithm=""fricas"")","-\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^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2}\right)} \log\left(b x + a\right)}{2 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}"," ",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 - 2*(b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2)*log(b*x + a))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3)","A",0
1254,1,84,0,1.391228," ","integrate((d*x+c)^2/(b*x+a)^4,x, algorithm=""fricas"")","-\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
1255,1,98,0,1.489946," ","integrate((d*x+c)^2/(b*x+a)^5,x, algorithm=""fricas"")","-\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
1256,1,109,0,1.336673," ","integrate((d*x+c)^2/(b*x+a)^6,x, algorithm=""fricas"")","-\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
1257,1,120,0,1.334059," ","integrate((d*x+c)^2/(b*x+a)^7,x, algorithm=""fricas"")","-\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
1258,1,303,0,1.136953," ","integrate((b*x+a)^5*(d*x+c)^3,x, algorithm=""fricas"")","\frac{1}{9} x^{9} d^{3} b^{5} + \frac{3}{8} x^{8} d^{2} c b^{5} + \frac{5}{8} x^{8} d^{3} b^{4} a + \frac{3}{7} x^{7} d c^{2} b^{5} + \frac{15}{7} x^{7} d^{2} c b^{4} a + \frac{10}{7} x^{7} d^{3} b^{3} a^{2} + \frac{1}{6} x^{6} c^{3} b^{5} + \frac{5}{2} x^{6} d c^{2} b^{4} a + 5 x^{6} d^{2} c b^{3} a^{2} + \frac{5}{3} x^{6} d^{3} b^{2} a^{3} + x^{5} c^{3} b^{4} a + 6 x^{5} d c^{2} b^{3} a^{2} + 6 x^{5} d^{2} c b^{2} a^{3} + x^{5} d^{3} b a^{4} + \frac{5}{2} x^{4} c^{3} b^{3} a^{2} + \frac{15}{2} x^{4} d c^{2} b^{2} a^{3} + \frac{15}{4} x^{4} d^{2} c b a^{4} + \frac{1}{4} x^{4} d^{3} a^{5} + \frac{10}{3} x^{3} c^{3} b^{2} a^{3} + 5 x^{3} d c^{2} b a^{4} + x^{3} d^{2} c a^{5} + \frac{5}{2} x^{2} c^{3} b a^{4} + \frac{3}{2} x^{2} d c^{2} a^{5} + x c^{3} a^{5}"," ",0,"1/9*x^9*d^3*b^5 + 3/8*x^8*d^2*c*b^5 + 5/8*x^8*d^3*b^4*a + 3/7*x^7*d*c^2*b^5 + 15/7*x^7*d^2*c*b^4*a + 10/7*x^7*d^3*b^3*a^2 + 1/6*x^6*c^3*b^5 + 5/2*x^6*d*c^2*b^4*a + 5*x^6*d^2*c*b^3*a^2 + 5/3*x^6*d^3*b^2*a^3 + x^5*c^3*b^4*a + 6*x^5*d*c^2*b^3*a^2 + 6*x^5*d^2*c*b^2*a^3 + x^5*d^3*b*a^4 + 5/2*x^4*c^3*b^3*a^2 + 15/2*x^4*d*c^2*b^2*a^3 + 15/4*x^4*d^2*c*b*a^4 + 1/4*x^4*d^3*a^5 + 10/3*x^3*c^3*b^2*a^3 + 5*x^3*d*c^2*b*a^4 + x^3*d^2*c*a^5 + 5/2*x^2*c^3*b*a^4 + 3/2*x^2*d*c^2*a^5 + x*c^3*a^5","B",0
1259,1,245,0,1.197710," ","integrate((b*x+a)^4*(d*x+c)^3,x, algorithm=""fricas"")","\frac{1}{8} x^{8} d^{3} b^{4} + \frac{3}{7} x^{7} d^{2} c b^{4} + \frac{4}{7} x^{7} d^{3} b^{3} a + \frac{1}{2} x^{6} d c^{2} b^{4} + 2 x^{6} d^{2} c b^{3} a + x^{6} d^{3} b^{2} a^{2} + \frac{1}{5} x^{5} c^{3} b^{4} + \frac{12}{5} x^{5} d c^{2} b^{3} a + \frac{18}{5} x^{5} d^{2} c b^{2} a^{2} + \frac{4}{5} x^{5} d^{3} b a^{3} + x^{4} c^{3} b^{3} a + \frac{9}{2} x^{4} d c^{2} b^{2} a^{2} + 3 x^{4} d^{2} c b a^{3} + \frac{1}{4} x^{4} d^{3} a^{4} + 2 x^{3} c^{3} b^{2} a^{2} + 4 x^{3} d c^{2} b a^{3} + x^{3} d^{2} c a^{4} + 2 x^{2} c^{3} b a^{3} + \frac{3}{2} x^{2} d c^{2} a^{4} + x c^{3} a^{4}"," ",0,"1/8*x^8*d^3*b^4 + 3/7*x^7*d^2*c*b^4 + 4/7*x^7*d^3*b^3*a + 1/2*x^6*d*c^2*b^4 + 2*x^6*d^2*c*b^3*a + x^6*d^3*b^2*a^2 + 1/5*x^5*c^3*b^4 + 12/5*x^5*d*c^2*b^3*a + 18/5*x^5*d^2*c*b^2*a^2 + 4/5*x^5*d^3*b*a^3 + x^4*c^3*b^3*a + 9/2*x^4*d*c^2*b^2*a^2 + 3*x^4*d^2*c*b*a^3 + 1/4*x^4*d^3*a^4 + 2*x^3*c^3*b^2*a^2 + 4*x^3*d*c^2*b*a^3 + x^3*d^2*c*a^4 + 2*x^2*c^3*b*a^3 + 3/2*x^2*d*c^2*a^4 + x*c^3*a^4","B",0
1260,1,188,0,1.091394," ","integrate((b*x+a)^3*(d*x+c)^3,x, algorithm=""fricas"")","\frac{1}{7} x^{7} d^{3} b^{3} + \frac{1}{2} x^{6} d^{2} c b^{3} + \frac{1}{2} x^{6} d^{3} b^{2} a + \frac{3}{5} x^{5} d c^{2} b^{3} + \frac{9}{5} x^{5} d^{2} c b^{2} a + \frac{3}{5} x^{5} d^{3} b a^{2} + \frac{1}{4} x^{4} c^{3} b^{3} + \frac{9}{4} x^{4} d c^{2} b^{2} a + \frac{9}{4} x^{4} d^{2} c b a^{2} + \frac{1}{4} x^{4} d^{3} a^{3} + x^{3} c^{3} b^{2} a + 3 x^{3} d c^{2} b a^{2} + x^{3} d^{2} c a^{3} + \frac{3}{2} x^{2} c^{3} b a^{2} + \frac{3}{2} x^{2} d c^{2} a^{3} + x c^{3} a^{3}"," ",0,"1/7*x^7*d^3*b^3 + 1/2*x^6*d^2*c*b^3 + 1/2*x^6*d^3*b^2*a + 3/5*x^5*d*c^2*b^3 + 9/5*x^5*d^2*c*b^2*a + 3/5*x^5*d^3*b*a^2 + 1/4*x^4*c^3*b^3 + 9/4*x^4*d*c^2*b^2*a + 9/4*x^4*d^2*c*b*a^2 + 1/4*x^4*d^3*a^3 + x^3*c^3*b^2*a + 3*x^3*d*c^2*b*a^2 + x^3*d^2*c*a^3 + 3/2*x^2*c^3*b*a^2 + 3/2*x^2*d*c^2*a^3 + x*c^3*a^3","B",0
1261,1,130,0,1.268709," ","integrate((b*x+a)^2*(d*x+c)^3,x, algorithm=""fricas"")","\frac{1}{6} x^{6} d^{3} b^{2} + \frac{3}{5} x^{5} d^{2} c b^{2} + \frac{2}{5} x^{5} d^{3} b a + \frac{3}{4} x^{4} d c^{2} b^{2} + \frac{3}{2} x^{4} d^{2} c b a + \frac{1}{4} x^{4} d^{3} a^{2} + \frac{1}{3} x^{3} c^{3} b^{2} + 2 x^{3} d c^{2} b a + x^{3} d^{2} c a^{2} + x^{2} c^{3} b a + \frac{3}{2} x^{2} d c^{2} a^{2} + x c^{3} a^{2}"," ",0,"1/6*x^6*d^3*b^2 + 3/5*x^5*d^2*c*b^2 + 2/5*x^5*d^3*b*a + 3/4*x^4*d*c^2*b^2 + 3/2*x^4*d^2*c*b*a + 1/4*x^4*d^3*a^2 + 1/3*x^3*c^3*b^2 + 2*x^3*d*c^2*b*a + x^3*d^2*c*a^2 + x^2*c^3*b*a + 3/2*x^2*d*c^2*a^2 + x*c^3*a^2","B",0
1262,1,72,0,1.086961," ","integrate((b*x+a)*(d*x+c)^3,x, algorithm=""fricas"")","\frac{1}{5} x^{5} d^{3} b + \frac{3}{4} x^{4} d^{2} c b + \frac{1}{4} x^{4} d^{3} a + x^{3} d c^{2} b + x^{3} d^{2} c a + \frac{1}{2} x^{2} c^{3} b + \frac{3}{2} x^{2} d c^{2} a + x c^{3} a"," ",0,"1/5*x^5*d^3*b + 3/4*x^4*d^2*c*b + 1/4*x^4*d^3*a + x^3*d*c^2*b + x^3*d^2*c*a + 1/2*x^2*c^3*b + 3/2*x^2*d*c^2*a + x*c^3*a","B",0
1263,1,31,0,1.182305," ","integrate((d*x+c)^3,x, algorithm=""fricas"")","\frac{1}{4} x^{4} d^{3} + x^{3} d^{2} c + \frac{3}{2} x^{2} d c^{2} + x c^{3}"," ",0,"1/4*x^4*d^3 + x^3*d^2*c + 3/2*x^2*d*c^2 + x*c^3","B",0
1264,1,116,0,1.787252," ","integrate((d*x+c)^3/(b*x+a),x, algorithm=""fricas"")","\frac{2 \, b^{3} d^{3} x^{3} + 3 \, {\left(3 \, b^{3} c d^{2} - a b^{2} d^{3}\right)} x^{2} + 6 \, {\left(3 \, b^{3} c^{2} d - 3 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x + 6 \, {\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)}{6 \, b^{4}}"," ",0,"1/6*(2*b^3*d^3*x^3 + 3*(3*b^3*c*d^2 - a*b^2*d^3)*x^2 + 6*(3*b^3*c^2*d - 3*a*b^2*c*d^2 + a^2*b*d^3)*x + 6*(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
1265,1,173,0,1.416028," ","integrate((d*x+c)^3/(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{3} d^{3} x^{3} - 2 \, b^{3} c^{3} + 6 \, a b^{2} c^{2} d - 6 \, a^{2} b c d^{2} + 2 \, a^{3} d^{3} + 3 \, {\left(2 \, b^{3} c d^{2} - a b^{2} d^{3}\right)} x^{2} + 2 \, {\left(3 \, a b^{2} c d^{2} - 2 \, a^{2} b d^{3}\right)} x + 6 \, {\left(a b^{2} c^{2} d - 2 \, a^{2} b c d^{2} + a^{3} d^{3} + {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x\right)} \log\left(b x + a\right)}{2 \, {\left(b^{5} x + a b^{4}\right)}}"," ",0,"1/2*(b^3*d^3*x^3 - 2*b^3*c^3 + 6*a*b^2*c^2*d - 6*a^2*b*c*d^2 + 2*a^3*d^3 + 3*(2*b^3*c*d^2 - a*b^2*d^3)*x^2 + 2*(3*a*b^2*c*d^2 - 2*a^2*b*d^3)*x + 6*(a*b^2*c^2*d - 2*a^2*b*c*d^2 + a^3*d^3 + (b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*x)*log(b*x + a))/(b^5*x + a*b^4)","B",0
1266,1,188,0,1.342927," ","integrate((d*x+c)^3/(b*x+a)^3,x, algorithm=""fricas"")","\frac{2 \, b^{3} d^{3} x^{3} + 4 \, a b^{2} d^{3} x^{2} - b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 9 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3} - 2 \, {\left(3 \, b^{3} c^{2} d - 6 \, a b^{2} c d^{2} + 2 \, a^{2} b d^{3}\right)} x + 6 \, {\left(a^{2} b c d^{2} - a^{3} d^{3} + {\left(b^{3} c d^{2} - a b^{2} d^{3}\right)} x^{2} + 2 \, {\left(a b^{2} c d^{2} - a^{2} b d^{3}\right)} x\right)} \log\left(b x + a\right)}{2 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}}"," ",0,"1/2*(2*b^3*d^3*x^3 + 4*a*b^2*d^3*x^2 - b^3*c^3 - 3*a*b^2*c^2*d + 9*a^2*b*c*d^2 - 5*a^3*d^3 - 2*(3*b^3*c^2*d - 6*a*b^2*c*d^2 + 2*a^2*b*d^3)*x + 6*(a^2*b*c*d^2 - a^3*d^3 + (b^3*c*d^2 - a*b^2*d^3)*x^2 + 2*(a*b^2*c*d^2 - a^2*b*d^3)*x)*log(b*x + a))/(b^6*x^2 + 2*a*b^5*x + a^2*b^4)","B",0
1267,1,176,0,1.509818," ","integrate((d*x+c)^3/(b*x+a)^4,x, algorithm=""fricas"")","-\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^{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)} \log\left(b x + a\right)}{6 \, {\left(b^{7} x^{3} + 3 \, a b^{6} x^{2} + 3 \, a^{2} b^{5} x + a^{3} b^{4}\right)}}"," ",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 - 6*(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)*log(b*x + a))/(b^7*x^3 + 3*a*b^6*x^2 + 3*a^2*b^5*x + a^3*b^4)","B",0
1268,1,143,0,1.542305," ","integrate((d*x+c)^3/(b*x+a)^5,x, algorithm=""fricas"")","-\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
1269,1,160,0,1.646686," ","integrate((d*x+c)^3/(b*x+a)^6,x, algorithm=""fricas"")","-\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
1270,1,171,0,1.486638," ","integrate((d*x+c)^3/(b*x+a)^7,x, algorithm=""fricas"")","-\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
1271,1,182,0,1.457163," ","integrate((d*x+c)^3/(b*x+a)^8,x, algorithm=""fricas"")","-\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
1272,1,193,0,1.436716," ","integrate((d*x+c)^3/(b*x+a)^9,x, algorithm=""fricas"")","-\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
1273,1,1175,0,0.864608," ","integrate((b*x+a)^9*(d*x+c)^7,x, algorithm=""fricas"")","\frac{1}{17} x^{17} d^{7} b^{9} + \frac{7}{16} x^{16} d^{6} c b^{9} + \frac{9}{16} x^{16} d^{7} b^{8} a + \frac{7}{5} x^{15} d^{5} c^{2} b^{9} + \frac{21}{5} x^{15} d^{6} c b^{8} a + \frac{12}{5} x^{15} d^{7} b^{7} a^{2} + \frac{5}{2} x^{14} d^{4} c^{3} b^{9} + \frac{27}{2} x^{14} d^{5} c^{2} b^{8} a + 18 x^{14} d^{6} c b^{7} a^{2} + 6 x^{14} d^{7} b^{6} a^{3} + \frac{35}{13} x^{13} d^{3} c^{4} b^{9} + \frac{315}{13} x^{13} d^{4} c^{3} b^{8} a + \frac{756}{13} x^{13} d^{5} c^{2} b^{7} a^{2} + \frac{588}{13} x^{13} d^{6} c b^{6} a^{3} + \frac{126}{13} x^{13} d^{7} b^{5} a^{4} + \frac{7}{4} x^{12} d^{2} c^{5} b^{9} + \frac{105}{4} x^{12} d^{3} c^{4} b^{8} a + 105 x^{12} d^{4} c^{3} b^{7} a^{2} + 147 x^{12} d^{5} c^{2} b^{6} a^{3} + \frac{147}{2} x^{12} d^{6} c b^{5} a^{4} + \frac{21}{2} x^{12} d^{7} b^{4} a^{5} + \frac{7}{11} x^{11} d c^{6} b^{9} + \frac{189}{11} x^{11} d^{2} c^{5} b^{8} a + \frac{1260}{11} x^{11} d^{3} c^{4} b^{7} a^{2} + \frac{2940}{11} x^{11} d^{4} c^{3} b^{6} a^{3} + \frac{2646}{11} x^{11} d^{5} c^{2} b^{5} a^{4} + \frac{882}{11} x^{11} d^{6} c b^{4} a^{5} + \frac{84}{11} x^{11} d^{7} b^{3} a^{6} + \frac{1}{10} x^{10} c^{7} b^{9} + \frac{63}{10} x^{10} d c^{6} b^{8} a + \frac{378}{5} x^{10} d^{2} c^{5} b^{7} a^{2} + 294 x^{10} d^{3} c^{4} b^{6} a^{3} + 441 x^{10} d^{4} c^{3} b^{5} a^{4} + \frac{1323}{5} x^{10} d^{5} c^{2} b^{4} a^{5} + \frac{294}{5} x^{10} d^{6} c b^{3} a^{6} + \frac{18}{5} x^{10} d^{7} b^{2} a^{7} + x^{9} c^{7} b^{8} a + 28 x^{9} d c^{6} b^{7} a^{2} + 196 x^{9} d^{2} c^{5} b^{6} a^{3} + 490 x^{9} d^{3} c^{4} b^{5} a^{4} + 490 x^{9} d^{4} c^{3} b^{4} a^{5} + 196 x^{9} d^{5} c^{2} b^{3} a^{6} + 28 x^{9} d^{6} c b^{2} a^{7} + x^{9} d^{7} b a^{8} + \frac{9}{2} x^{8} c^{7} b^{7} a^{2} + \frac{147}{2} x^{8} d c^{6} b^{6} a^{3} + \frac{1323}{4} x^{8} d^{2} c^{5} b^{5} a^{4} + \frac{2205}{4} x^{8} d^{3} c^{4} b^{4} a^{5} + \frac{735}{2} x^{8} d^{4} c^{3} b^{3} a^{6} + \frac{189}{2} x^{8} d^{5} c^{2} b^{2} a^{7} + \frac{63}{8} x^{8} d^{6} c b a^{8} + \frac{1}{8} x^{8} d^{7} a^{9} + 12 x^{7} c^{7} b^{6} a^{3} + 126 x^{7} d c^{6} b^{5} a^{4} + 378 x^{7} d^{2} c^{5} b^{4} a^{5} + 420 x^{7} d^{3} c^{4} b^{3} a^{6} + 180 x^{7} d^{4} c^{3} b^{2} a^{7} + 27 x^{7} d^{5} c^{2} b a^{8} + x^{7} d^{6} c a^{9} + 21 x^{6} c^{7} b^{5} a^{4} + 147 x^{6} d c^{6} b^{4} a^{5} + 294 x^{6} d^{2} c^{5} b^{3} a^{6} + 210 x^{6} d^{3} c^{4} b^{2} a^{7} + \frac{105}{2} x^{6} d^{4} c^{3} b a^{8} + \frac{7}{2} x^{6} d^{5} c^{2} a^{9} + \frac{126}{5} x^{5} c^{7} b^{4} a^{5} + \frac{588}{5} x^{5} d c^{6} b^{3} a^{6} + \frac{756}{5} x^{5} d^{2} c^{5} b^{2} a^{7} + 63 x^{5} d^{3} c^{4} b a^{8} + 7 x^{5} d^{4} c^{3} a^{9} + 21 x^{4} c^{7} b^{3} a^{6} + 63 x^{4} d c^{6} b^{2} a^{7} + \frac{189}{4} x^{4} d^{2} c^{5} b a^{8} + \frac{35}{4} x^{4} d^{3} c^{4} a^{9} + 12 x^{3} c^{7} b^{2} a^{7} + 21 x^{3} d c^{6} b a^{8} + 7 x^{3} d^{2} c^{5} a^{9} + \frac{9}{2} x^{2} c^{7} b a^{8} + \frac{7}{2} x^{2} d c^{6} a^{9} + x c^{7} a^{9}"," ",0,"1/17*x^17*d^7*b^9 + 7/16*x^16*d^6*c*b^9 + 9/16*x^16*d^7*b^8*a + 7/5*x^15*d^5*c^2*b^9 + 21/5*x^15*d^6*c*b^8*a + 12/5*x^15*d^7*b^7*a^2 + 5/2*x^14*d^4*c^3*b^9 + 27/2*x^14*d^5*c^2*b^8*a + 18*x^14*d^6*c*b^7*a^2 + 6*x^14*d^7*b^6*a^3 + 35/13*x^13*d^3*c^4*b^9 + 315/13*x^13*d^4*c^3*b^8*a + 756/13*x^13*d^5*c^2*b^7*a^2 + 588/13*x^13*d^6*c*b^6*a^3 + 126/13*x^13*d^7*b^5*a^4 + 7/4*x^12*d^2*c^5*b^9 + 105/4*x^12*d^3*c^4*b^8*a + 105*x^12*d^4*c^3*b^7*a^2 + 147*x^12*d^5*c^2*b^6*a^3 + 147/2*x^12*d^6*c*b^5*a^4 + 21/2*x^12*d^7*b^4*a^5 + 7/11*x^11*d*c^6*b^9 + 189/11*x^11*d^2*c^5*b^8*a + 1260/11*x^11*d^3*c^4*b^7*a^2 + 2940/11*x^11*d^4*c^3*b^6*a^3 + 2646/11*x^11*d^5*c^2*b^5*a^4 + 882/11*x^11*d^6*c*b^4*a^5 + 84/11*x^11*d^7*b^3*a^6 + 1/10*x^10*c^7*b^9 + 63/10*x^10*d*c^6*b^8*a + 378/5*x^10*d^2*c^5*b^7*a^2 + 294*x^10*d^3*c^4*b^6*a^3 + 441*x^10*d^4*c^3*b^5*a^4 + 1323/5*x^10*d^5*c^2*b^4*a^5 + 294/5*x^10*d^6*c*b^3*a^6 + 18/5*x^10*d^7*b^2*a^7 + x^9*c^7*b^8*a + 28*x^9*d*c^6*b^7*a^2 + 196*x^9*d^2*c^5*b^6*a^3 + 490*x^9*d^3*c^4*b^5*a^4 + 490*x^9*d^4*c^3*b^4*a^5 + 196*x^9*d^5*c^2*b^3*a^6 + 28*x^9*d^6*c*b^2*a^7 + x^9*d^7*b*a^8 + 9/2*x^8*c^7*b^7*a^2 + 147/2*x^8*d*c^6*b^6*a^3 + 1323/4*x^8*d^2*c^5*b^5*a^4 + 2205/4*x^8*d^3*c^4*b^4*a^5 + 735/2*x^8*d^4*c^3*b^3*a^6 + 189/2*x^8*d^5*c^2*b^2*a^7 + 63/8*x^8*d^6*c*b*a^8 + 1/8*x^8*d^7*a^9 + 12*x^7*c^7*b^6*a^3 + 126*x^7*d*c^6*b^5*a^4 + 378*x^7*d^2*c^5*b^4*a^5 + 420*x^7*d^3*c^4*b^3*a^6 + 180*x^7*d^4*c^3*b^2*a^7 + 27*x^7*d^5*c^2*b*a^8 + x^7*d^6*c*a^9 + 21*x^6*c^7*b^5*a^4 + 147*x^6*d*c^6*b^4*a^5 + 294*x^6*d^2*c^5*b^3*a^6 + 210*x^6*d^3*c^4*b^2*a^7 + 105/2*x^6*d^4*c^3*b*a^8 + 7/2*x^6*d^5*c^2*a^9 + 126/5*x^5*c^7*b^4*a^5 + 588/5*x^5*d*c^6*b^3*a^6 + 756/5*x^5*d^2*c^5*b^2*a^7 + 63*x^5*d^3*c^4*b*a^8 + 7*x^5*d^4*c^3*a^9 + 21*x^4*c^7*b^3*a^6 + 63*x^4*d*c^6*b^2*a^7 + 189/4*x^4*d^2*c^5*b*a^8 + 35/4*x^4*d^3*c^4*a^9 + 12*x^3*c^7*b^2*a^7 + 21*x^3*d*c^6*b*a^8 + 7*x^3*d^2*c^5*a^9 + 9/2*x^2*c^7*b*a^8 + 7/2*x^2*d*c^6*a^9 + x*c^7*a^9","B",0
1274,1,1050,0,1.281682," ","integrate((b*x+a)^8*(d*x+c)^7,x, algorithm=""fricas"")","\frac{1}{16} x^{16} d^{7} b^{8} + \frac{7}{15} x^{15} d^{6} c b^{8} + \frac{8}{15} x^{15} d^{7} b^{7} a + \frac{3}{2} x^{14} d^{5} c^{2} b^{8} + 4 x^{14} d^{6} c b^{7} a + 2 x^{14} d^{7} b^{6} a^{2} + \frac{35}{13} x^{13} d^{4} c^{3} b^{8} + \frac{168}{13} x^{13} d^{5} c^{2} b^{7} a + \frac{196}{13} x^{13} d^{6} c b^{6} a^{2} + \frac{56}{13} x^{13} d^{7} b^{5} a^{3} + \frac{35}{12} x^{12} d^{3} c^{4} b^{8} + \frac{70}{3} x^{12} d^{4} c^{3} b^{7} a + 49 x^{12} d^{5} c^{2} b^{6} a^{2} + \frac{98}{3} x^{12} d^{6} c b^{5} a^{3} + \frac{35}{6} x^{12} d^{7} b^{4} a^{4} + \frac{21}{11} x^{11} d^{2} c^{5} b^{8} + \frac{280}{11} x^{11} d^{3} c^{4} b^{7} a + \frac{980}{11} x^{11} d^{4} c^{3} b^{6} a^{2} + \frac{1176}{11} x^{11} d^{5} c^{2} b^{5} a^{3} + \frac{490}{11} x^{11} d^{6} c b^{4} a^{4} + \frac{56}{11} x^{11} d^{7} b^{3} a^{5} + \frac{7}{10} x^{10} d c^{6} b^{8} + \frac{84}{5} x^{10} d^{2} c^{5} b^{7} a + 98 x^{10} d^{3} c^{4} b^{6} a^{2} + 196 x^{10} d^{4} c^{3} b^{5} a^{3} + 147 x^{10} d^{5} c^{2} b^{4} a^{4} + \frac{196}{5} x^{10} d^{6} c b^{3} a^{5} + \frac{14}{5} x^{10} d^{7} b^{2} a^{6} + \frac{1}{9} x^{9} c^{7} b^{8} + \frac{56}{9} x^{9} d c^{6} b^{7} a + \frac{196}{3} x^{9} d^{2} c^{5} b^{6} a^{2} + \frac{1960}{9} x^{9} d^{3} c^{4} b^{5} a^{3} + \frac{2450}{9} x^{9} d^{4} c^{3} b^{4} a^{4} + \frac{392}{3} x^{9} d^{5} c^{2} b^{3} a^{5} + \frac{196}{9} x^{9} d^{6} c b^{2} a^{6} + \frac{8}{9} x^{9} d^{7} b a^{7} + x^{8} c^{7} b^{7} a + \frac{49}{2} x^{8} d c^{6} b^{6} a^{2} + 147 x^{8} d^{2} c^{5} b^{5} a^{3} + \frac{1225}{4} x^{8} d^{3} c^{4} b^{4} a^{4} + 245 x^{8} d^{4} c^{3} b^{3} a^{5} + \frac{147}{2} x^{8} d^{5} c^{2} b^{2} a^{6} + 7 x^{8} d^{6} c b a^{7} + \frac{1}{8} x^{8} d^{7} a^{8} + 4 x^{7} c^{7} b^{6} a^{2} + 56 x^{7} d c^{6} b^{5} a^{3} + 210 x^{7} d^{2} c^{5} b^{4} a^{4} + 280 x^{7} d^{3} c^{4} b^{3} a^{5} + 140 x^{7} d^{4} c^{3} b^{2} a^{6} + 24 x^{7} d^{5} c^{2} b a^{7} + x^{7} d^{6} c a^{8} + \frac{28}{3} x^{6} c^{7} b^{5} a^{3} + \frac{245}{3} x^{6} d c^{6} b^{4} a^{4} + 196 x^{6} d^{2} c^{5} b^{3} a^{5} + \frac{490}{3} x^{6} d^{3} c^{4} b^{2} a^{6} + \frac{140}{3} x^{6} d^{4} c^{3} b a^{7} + \frac{7}{2} x^{6} d^{5} c^{2} a^{8} + 14 x^{5} c^{7} b^{4} a^{4} + \frac{392}{5} x^{5} d c^{6} b^{3} a^{5} + \frac{588}{5} x^{5} d^{2} c^{5} b^{2} a^{6} + 56 x^{5} d^{3} c^{4} b a^{7} + 7 x^{5} d^{4} c^{3} a^{8} + 14 x^{4} c^{7} b^{3} a^{5} + 49 x^{4} d c^{6} b^{2} a^{6} + 42 x^{4} d^{2} c^{5} b a^{7} + \frac{35}{4} x^{4} d^{3} c^{4} a^{8} + \frac{28}{3} x^{3} c^{7} b^{2} a^{6} + \frac{56}{3} x^{3} d c^{6} b a^{7} + 7 x^{3} d^{2} c^{5} a^{8} + 4 x^{2} c^{7} b a^{7} + \frac{7}{2} x^{2} d c^{6} a^{8} + x c^{7} a^{8}"," ",0,"1/16*x^16*d^7*b^8 + 7/15*x^15*d^6*c*b^8 + 8/15*x^15*d^7*b^7*a + 3/2*x^14*d^5*c^2*b^8 + 4*x^14*d^6*c*b^7*a + 2*x^14*d^7*b^6*a^2 + 35/13*x^13*d^4*c^3*b^8 + 168/13*x^13*d^5*c^2*b^7*a + 196/13*x^13*d^6*c*b^6*a^2 + 56/13*x^13*d^7*b^5*a^3 + 35/12*x^12*d^3*c^4*b^8 + 70/3*x^12*d^4*c^3*b^7*a + 49*x^12*d^5*c^2*b^6*a^2 + 98/3*x^12*d^6*c*b^5*a^3 + 35/6*x^12*d^7*b^4*a^4 + 21/11*x^11*d^2*c^5*b^8 + 280/11*x^11*d^3*c^4*b^7*a + 980/11*x^11*d^4*c^3*b^6*a^2 + 1176/11*x^11*d^5*c^2*b^5*a^3 + 490/11*x^11*d^6*c*b^4*a^4 + 56/11*x^11*d^7*b^3*a^5 + 7/10*x^10*d*c^6*b^8 + 84/5*x^10*d^2*c^5*b^7*a + 98*x^10*d^3*c^4*b^6*a^2 + 196*x^10*d^4*c^3*b^5*a^3 + 147*x^10*d^5*c^2*b^4*a^4 + 196/5*x^10*d^6*c*b^3*a^5 + 14/5*x^10*d^7*b^2*a^6 + 1/9*x^9*c^7*b^8 + 56/9*x^9*d*c^6*b^7*a + 196/3*x^9*d^2*c^5*b^6*a^2 + 1960/9*x^9*d^3*c^4*b^5*a^3 + 2450/9*x^9*d^4*c^3*b^4*a^4 + 392/3*x^9*d^5*c^2*b^3*a^5 + 196/9*x^9*d^6*c*b^2*a^6 + 8/9*x^9*d^7*b*a^7 + x^8*c^7*b^7*a + 49/2*x^8*d*c^6*b^6*a^2 + 147*x^8*d^2*c^5*b^5*a^3 + 1225/4*x^8*d^3*c^4*b^4*a^4 + 245*x^8*d^4*c^3*b^3*a^5 + 147/2*x^8*d^5*c^2*b^2*a^6 + 7*x^8*d^6*c*b*a^7 + 1/8*x^8*d^7*a^8 + 4*x^7*c^7*b^6*a^2 + 56*x^7*d*c^6*b^5*a^3 + 210*x^7*d^2*c^5*b^4*a^4 + 280*x^7*d^3*c^4*b^3*a^5 + 140*x^7*d^4*c^3*b^2*a^6 + 24*x^7*d^5*c^2*b*a^7 + x^7*d^6*c*a^8 + 28/3*x^6*c^7*b^5*a^3 + 245/3*x^6*d*c^6*b^4*a^4 + 196*x^6*d^2*c^5*b^3*a^5 + 490/3*x^6*d^3*c^4*b^2*a^6 + 140/3*x^6*d^4*c^3*b*a^7 + 7/2*x^6*d^5*c^2*a^8 + 14*x^5*c^7*b^4*a^4 + 392/5*x^5*d*c^6*b^3*a^5 + 588/5*x^5*d^2*c^5*b^2*a^6 + 56*x^5*d^3*c^4*b*a^7 + 7*x^5*d^4*c^3*a^8 + 14*x^4*c^7*b^3*a^5 + 49*x^4*d*c^6*b^2*a^6 + 42*x^4*d^2*c^5*b*a^7 + 35/4*x^4*d^3*c^4*a^8 + 28/3*x^3*c^7*b^2*a^6 + 56/3*x^3*d*c^6*b*a^7 + 7*x^3*d^2*c^5*a^8 + 4*x^2*c^7*b*a^7 + 7/2*x^2*d*c^6*a^8 + x*c^7*a^8","B",0
1275,1,924,0,1.249715," ","integrate((b*x+a)^7*(d*x+c)^7,x, algorithm=""fricas"")","\frac{1}{15} x^{15} d^{7} b^{7} + \frac{1}{2} x^{14} d^{6} c b^{7} + \frac{1}{2} x^{14} d^{7} b^{6} a + \frac{21}{13} x^{13} d^{5} c^{2} b^{7} + \frac{49}{13} x^{13} d^{6} c b^{6} a + \frac{21}{13} x^{13} d^{7} b^{5} a^{2} + \frac{35}{12} x^{12} d^{4} c^{3} b^{7} + \frac{49}{4} x^{12} d^{5} c^{2} b^{6} a + \frac{49}{4} x^{12} d^{6} c b^{5} a^{2} + \frac{35}{12} x^{12} d^{7} b^{4} a^{3} + \frac{35}{11} x^{11} d^{3} c^{4} b^{7} + \frac{245}{11} x^{11} d^{4} c^{3} b^{6} a + \frac{441}{11} x^{11} d^{5} c^{2} b^{5} a^{2} + \frac{245}{11} x^{11} d^{6} c b^{4} a^{3} + \frac{35}{11} x^{11} d^{7} b^{3} a^{4} + \frac{21}{10} x^{10} d^{2} c^{5} b^{7} + \frac{49}{2} x^{10} d^{3} c^{4} b^{6} a + \frac{147}{2} x^{10} d^{4} c^{3} b^{5} a^{2} + \frac{147}{2} x^{10} d^{5} c^{2} b^{4} a^{3} + \frac{49}{2} x^{10} d^{6} c b^{3} a^{4} + \frac{21}{10} x^{10} d^{7} b^{2} a^{5} + \frac{7}{9} x^{9} d c^{6} b^{7} + \frac{49}{3} x^{9} d^{2} c^{5} b^{6} a + \frac{245}{3} x^{9} d^{3} c^{4} b^{5} a^{2} + \frac{1225}{9} x^{9} d^{4} c^{3} b^{4} a^{3} + \frac{245}{3} x^{9} d^{5} c^{2} b^{3} a^{4} + \frac{49}{3} x^{9} d^{6} c b^{2} a^{5} + \frac{7}{9} x^{9} d^{7} b a^{6} + \frac{1}{8} x^{8} c^{7} b^{7} + \frac{49}{8} x^{8} d c^{6} b^{6} a + \frac{441}{8} x^{8} d^{2} c^{5} b^{5} a^{2} + \frac{1225}{8} x^{8} d^{3} c^{4} b^{4} a^{3} + \frac{1225}{8} x^{8} d^{4} c^{3} b^{3} a^{4} + \frac{441}{8} x^{8} d^{5} c^{2} b^{2} a^{5} + \frac{49}{8} x^{8} d^{6} c b a^{6} + \frac{1}{8} x^{8} d^{7} a^{7} + x^{7} c^{7} b^{6} a + 21 x^{7} d c^{6} b^{5} a^{2} + 105 x^{7} d^{2} c^{5} b^{4} a^{3} + 175 x^{7} d^{3} c^{4} b^{3} a^{4} + 105 x^{7} d^{4} c^{3} b^{2} a^{5} + 21 x^{7} d^{5} c^{2} b a^{6} + x^{7} d^{6} c a^{7} + \frac{7}{2} x^{6} c^{7} b^{5} a^{2} + \frac{245}{6} x^{6} d c^{6} b^{4} a^{3} + \frac{245}{2} x^{6} d^{2} c^{5} b^{3} a^{4} + \frac{245}{2} x^{6} d^{3} c^{4} b^{2} a^{5} + \frac{245}{6} x^{6} d^{4} c^{3} b a^{6} + \frac{7}{2} x^{6} d^{5} c^{2} a^{7} + 7 x^{5} c^{7} b^{4} a^{3} + 49 x^{5} d c^{6} b^{3} a^{4} + \frac{441}{5} x^{5} d^{2} c^{5} b^{2} a^{5} + 49 x^{5} d^{3} c^{4} b a^{6} + 7 x^{5} d^{4} c^{3} a^{7} + \frac{35}{4} x^{4} c^{7} b^{3} a^{4} + \frac{147}{4} x^{4} d c^{6} b^{2} a^{5} + \frac{147}{4} x^{4} d^{2} c^{5} b a^{6} + \frac{35}{4} x^{4} d^{3} c^{4} a^{7} + 7 x^{3} c^{7} b^{2} a^{5} + \frac{49}{3} x^{3} d c^{6} b a^{6} + 7 x^{3} d^{2} c^{5} a^{7} + \frac{7}{2} x^{2} c^{7} b a^{6} + \frac{7}{2} x^{2} d c^{6} a^{7} + x c^{7} a^{7}"," ",0,"1/15*x^15*d^7*b^7 + 1/2*x^14*d^6*c*b^7 + 1/2*x^14*d^7*b^6*a + 21/13*x^13*d^5*c^2*b^7 + 49/13*x^13*d^6*c*b^6*a + 21/13*x^13*d^7*b^5*a^2 + 35/12*x^12*d^4*c^3*b^7 + 49/4*x^12*d^5*c^2*b^6*a + 49/4*x^12*d^6*c*b^5*a^2 + 35/12*x^12*d^7*b^4*a^3 + 35/11*x^11*d^3*c^4*b^7 + 245/11*x^11*d^4*c^3*b^6*a + 441/11*x^11*d^5*c^2*b^5*a^2 + 245/11*x^11*d^6*c*b^4*a^3 + 35/11*x^11*d^7*b^3*a^4 + 21/10*x^10*d^2*c^5*b^7 + 49/2*x^10*d^3*c^4*b^6*a + 147/2*x^10*d^4*c^3*b^5*a^2 + 147/2*x^10*d^5*c^2*b^4*a^3 + 49/2*x^10*d^6*c*b^3*a^4 + 21/10*x^10*d^7*b^2*a^5 + 7/9*x^9*d*c^6*b^7 + 49/3*x^9*d^2*c^5*b^6*a + 245/3*x^9*d^3*c^4*b^5*a^2 + 1225/9*x^9*d^4*c^3*b^4*a^3 + 245/3*x^9*d^5*c^2*b^3*a^4 + 49/3*x^9*d^6*c*b^2*a^5 + 7/9*x^9*d^7*b*a^6 + 1/8*x^8*c^7*b^7 + 49/8*x^8*d*c^6*b^6*a + 441/8*x^8*d^2*c^5*b^5*a^2 + 1225/8*x^8*d^3*c^4*b^4*a^3 + 1225/8*x^8*d^4*c^3*b^3*a^4 + 441/8*x^8*d^5*c^2*b^2*a^5 + 49/8*x^8*d^6*c*b*a^6 + 1/8*x^8*d^7*a^7 + x^7*c^7*b^6*a + 21*x^7*d*c^6*b^5*a^2 + 105*x^7*d^2*c^5*b^4*a^3 + 175*x^7*d^3*c^4*b^3*a^4 + 105*x^7*d^4*c^3*b^2*a^5 + 21*x^7*d^5*c^2*b*a^6 + x^7*d^6*c*a^7 + 7/2*x^6*c^7*b^5*a^2 + 245/6*x^6*d*c^6*b^4*a^3 + 245/2*x^6*d^2*c^5*b^3*a^4 + 245/2*x^6*d^3*c^4*b^2*a^5 + 245/6*x^6*d^4*c^3*b*a^6 + 7/2*x^6*d^5*c^2*a^7 + 7*x^5*c^7*b^4*a^3 + 49*x^5*d*c^6*b^3*a^4 + 441/5*x^5*d^2*c^5*b^2*a^5 + 49*x^5*d^3*c^4*b*a^6 + 7*x^5*d^4*c^3*a^7 + 35/4*x^4*c^7*b^3*a^4 + 147/4*x^4*d*c^6*b^2*a^5 + 147/4*x^4*d^2*c^5*b*a^6 + 35/4*x^4*d^3*c^4*a^7 + 7*x^3*c^7*b^2*a^5 + 49/3*x^3*d*c^6*b*a^6 + 7*x^3*d^2*c^5*a^7 + 7/2*x^2*c^7*b*a^6 + 7/2*x^2*d*c^6*a^7 + x*c^7*a^7","B",0
1276,1,798,0,1.200970," ","integrate((b*x+a)^6*(d*x+c)^7,x, algorithm=""fricas"")","\frac{1}{14} x^{14} d^{7} b^{6} + \frac{7}{13} x^{13} d^{6} c b^{6} + \frac{6}{13} x^{13} d^{7} b^{5} a + \frac{7}{4} x^{12} d^{5} c^{2} b^{6} + \frac{7}{2} x^{12} d^{6} c b^{5} a + \frac{5}{4} x^{12} d^{7} b^{4} a^{2} + \frac{35}{11} x^{11} d^{4} c^{3} b^{6} + \frac{126}{11} x^{11} d^{5} c^{2} b^{5} a + \frac{105}{11} x^{11} d^{6} c b^{4} a^{2} + \frac{20}{11} x^{11} d^{7} b^{3} a^{3} + \frac{7}{2} x^{10} d^{3} c^{4} b^{6} + 21 x^{10} d^{4} c^{3} b^{5} a + \frac{63}{2} x^{10} d^{5} c^{2} b^{4} a^{2} + 14 x^{10} d^{6} c b^{3} a^{3} + \frac{3}{2} x^{10} d^{7} b^{2} a^{4} + \frac{7}{3} x^{9} d^{2} c^{5} b^{6} + \frac{70}{3} x^{9} d^{3} c^{4} b^{5} a + \frac{175}{3} x^{9} d^{4} c^{3} b^{4} a^{2} + \frac{140}{3} x^{9} d^{5} c^{2} b^{3} a^{3} + \frac{35}{3} x^{9} d^{6} c b^{2} a^{4} + \frac{2}{3} x^{9} d^{7} b a^{5} + \frac{7}{8} x^{8} d c^{6} b^{6} + \frac{63}{4} x^{8} d^{2} c^{5} b^{5} a + \frac{525}{8} x^{8} d^{3} c^{4} b^{4} a^{2} + \frac{175}{2} x^{8} d^{4} c^{3} b^{3} a^{3} + \frac{315}{8} x^{8} d^{5} c^{2} b^{2} a^{4} + \frac{21}{4} x^{8} d^{6} c b a^{5} + \frac{1}{8} x^{8} d^{7} a^{6} + \frac{1}{7} x^{7} c^{7} b^{6} + 6 x^{7} d c^{6} b^{5} a + 45 x^{7} d^{2} c^{5} b^{4} a^{2} + 100 x^{7} d^{3} c^{4} b^{3} a^{3} + 75 x^{7} d^{4} c^{3} b^{2} a^{4} + 18 x^{7} d^{5} c^{2} b a^{5} + x^{7} d^{6} c a^{6} + x^{6} c^{7} b^{5} a + \frac{35}{2} x^{6} d c^{6} b^{4} a^{2} + 70 x^{6} d^{2} c^{5} b^{3} a^{3} + \frac{175}{2} x^{6} d^{3} c^{4} b^{2} a^{4} + 35 x^{6} d^{4} c^{3} b a^{5} + \frac{7}{2} x^{6} d^{5} c^{2} a^{6} + 3 x^{5} c^{7} b^{4} a^{2} + 28 x^{5} d c^{6} b^{3} a^{3} + 63 x^{5} d^{2} c^{5} b^{2} a^{4} + 42 x^{5} d^{3} c^{4} b a^{5} + 7 x^{5} d^{4} c^{3} a^{6} + 5 x^{4} c^{7} b^{3} a^{3} + \frac{105}{4} x^{4} d c^{6} b^{2} a^{4} + \frac{63}{2} x^{4} d^{2} c^{5} b a^{5} + \frac{35}{4} x^{4} d^{3} c^{4} a^{6} + 5 x^{3} c^{7} b^{2} a^{4} + 14 x^{3} d c^{6} b a^{5} + 7 x^{3} d^{2} c^{5} a^{6} + 3 x^{2} c^{7} b a^{5} + \frac{7}{2} x^{2} d c^{6} a^{6} + x c^{7} a^{6}"," ",0,"1/14*x^14*d^7*b^6 + 7/13*x^13*d^6*c*b^6 + 6/13*x^13*d^7*b^5*a + 7/4*x^12*d^5*c^2*b^6 + 7/2*x^12*d^6*c*b^5*a + 5/4*x^12*d^7*b^4*a^2 + 35/11*x^11*d^4*c^3*b^6 + 126/11*x^11*d^5*c^2*b^5*a + 105/11*x^11*d^6*c*b^4*a^2 + 20/11*x^11*d^7*b^3*a^3 + 7/2*x^10*d^3*c^4*b^6 + 21*x^10*d^4*c^3*b^5*a + 63/2*x^10*d^5*c^2*b^4*a^2 + 14*x^10*d^6*c*b^3*a^3 + 3/2*x^10*d^7*b^2*a^4 + 7/3*x^9*d^2*c^5*b^6 + 70/3*x^9*d^3*c^4*b^5*a + 175/3*x^9*d^4*c^3*b^4*a^2 + 140/3*x^9*d^5*c^2*b^3*a^3 + 35/3*x^9*d^6*c*b^2*a^4 + 2/3*x^9*d^7*b*a^5 + 7/8*x^8*d*c^6*b^6 + 63/4*x^8*d^2*c^5*b^5*a + 525/8*x^8*d^3*c^4*b^4*a^2 + 175/2*x^8*d^4*c^3*b^3*a^3 + 315/8*x^8*d^5*c^2*b^2*a^4 + 21/4*x^8*d^6*c*b*a^5 + 1/8*x^8*d^7*a^6 + 1/7*x^7*c^7*b^6 + 6*x^7*d*c^6*b^5*a + 45*x^7*d^2*c^5*b^4*a^2 + 100*x^7*d^3*c^4*b^3*a^3 + 75*x^7*d^4*c^3*b^2*a^4 + 18*x^7*d^5*c^2*b*a^5 + x^7*d^6*c*a^6 + x^6*c^7*b^5*a + 35/2*x^6*d*c^6*b^4*a^2 + 70*x^6*d^2*c^5*b^3*a^3 + 175/2*x^6*d^3*c^4*b^2*a^4 + 35*x^6*d^4*c^3*b*a^5 + 7/2*x^6*d^5*c^2*a^6 + 3*x^5*c^7*b^4*a^2 + 28*x^5*d*c^6*b^3*a^3 + 63*x^5*d^2*c^5*b^2*a^4 + 42*x^5*d^3*c^4*b*a^5 + 7*x^5*d^4*c^3*a^6 + 5*x^4*c^7*b^3*a^3 + 105/4*x^4*d*c^6*b^2*a^4 + 63/2*x^4*d^2*c^5*b*a^5 + 35/4*x^4*d^3*c^4*a^6 + 5*x^3*c^7*b^2*a^4 + 14*x^3*d*c^6*b*a^5 + 7*x^3*d^2*c^5*a^6 + 3*x^2*c^7*b*a^5 + 7/2*x^2*d*c^6*a^6 + x*c^7*a^6","B",0
1277,1,670,0,1.092436," ","integrate((b*x+a)^5*(d*x+c)^7,x, algorithm=""fricas"")","\frac{1}{13} x^{13} d^{7} b^{5} + \frac{7}{12} x^{12} d^{6} c b^{5} + \frac{5}{12} x^{12} d^{7} b^{4} a + \frac{21}{11} x^{11} d^{5} c^{2} b^{5} + \frac{35}{11} x^{11} d^{6} c b^{4} a + \frac{10}{11} x^{11} d^{7} b^{3} a^{2} + \frac{7}{2} x^{10} d^{4} c^{3} b^{5} + \frac{21}{2} x^{10} d^{5} c^{2} b^{4} a + 7 x^{10} d^{6} c b^{3} a^{2} + x^{10} d^{7} b^{2} a^{3} + \frac{35}{9} x^{9} d^{3} c^{4} b^{5} + \frac{175}{9} x^{9} d^{4} c^{3} b^{4} a + \frac{70}{3} x^{9} d^{5} c^{2} b^{3} a^{2} + \frac{70}{9} x^{9} d^{6} c b^{2} a^{3} + \frac{5}{9} x^{9} d^{7} b a^{4} + \frac{21}{8} x^{8} d^{2} c^{5} b^{5} + \frac{175}{8} x^{8} d^{3} c^{4} b^{4} a + \frac{175}{4} x^{8} d^{4} c^{3} b^{3} a^{2} + \frac{105}{4} x^{8} d^{5} c^{2} b^{2} a^{3} + \frac{35}{8} x^{8} d^{6} c b a^{4} + \frac{1}{8} x^{8} d^{7} a^{5} + x^{7} d c^{6} b^{5} + 15 x^{7} d^{2} c^{5} b^{4} a + 50 x^{7} d^{3} c^{4} b^{3} a^{2} + 50 x^{7} d^{4} c^{3} b^{2} a^{3} + 15 x^{7} d^{5} c^{2} b a^{4} + x^{7} d^{6} c a^{5} + \frac{1}{6} x^{6} c^{7} b^{5} + \frac{35}{6} x^{6} d c^{6} b^{4} a + 35 x^{6} d^{2} c^{5} b^{3} a^{2} + \frac{175}{3} x^{6} d^{3} c^{4} b^{2} a^{3} + \frac{175}{6} x^{6} d^{4} c^{3} b a^{4} + \frac{7}{2} x^{6} d^{5} c^{2} a^{5} + x^{5} c^{7} b^{4} a + 14 x^{5} d c^{6} b^{3} a^{2} + 42 x^{5} d^{2} c^{5} b^{2} a^{3} + 35 x^{5} d^{3} c^{4} b a^{4} + 7 x^{5} d^{4} c^{3} a^{5} + \frac{5}{2} x^{4} c^{7} b^{3} a^{2} + \frac{35}{2} x^{4} d c^{6} b^{2} a^{3} + \frac{105}{4} x^{4} d^{2} c^{5} b a^{4} + \frac{35}{4} x^{4} d^{3} c^{4} a^{5} + \frac{10}{3} x^{3} c^{7} b^{2} a^{3} + \frac{35}{3} x^{3} d c^{6} b a^{4} + 7 x^{3} d^{2} c^{5} a^{5} + \frac{5}{2} x^{2} c^{7} b a^{4} + \frac{7}{2} x^{2} d c^{6} a^{5} + x c^{7} a^{5}"," ",0,"1/13*x^13*d^7*b^5 + 7/12*x^12*d^6*c*b^5 + 5/12*x^12*d^7*b^4*a + 21/11*x^11*d^5*c^2*b^5 + 35/11*x^11*d^6*c*b^4*a + 10/11*x^11*d^7*b^3*a^2 + 7/2*x^10*d^4*c^3*b^5 + 21/2*x^10*d^5*c^2*b^4*a + 7*x^10*d^6*c*b^3*a^2 + x^10*d^7*b^2*a^3 + 35/9*x^9*d^3*c^4*b^5 + 175/9*x^9*d^4*c^3*b^4*a + 70/3*x^9*d^5*c^2*b^3*a^2 + 70/9*x^9*d^6*c*b^2*a^3 + 5/9*x^9*d^7*b*a^4 + 21/8*x^8*d^2*c^5*b^5 + 175/8*x^8*d^3*c^4*b^4*a + 175/4*x^8*d^4*c^3*b^3*a^2 + 105/4*x^8*d^5*c^2*b^2*a^3 + 35/8*x^8*d^6*c*b*a^4 + 1/8*x^8*d^7*a^5 + x^7*d*c^6*b^5 + 15*x^7*d^2*c^5*b^4*a + 50*x^7*d^3*c^4*b^3*a^2 + 50*x^7*d^4*c^3*b^2*a^3 + 15*x^7*d^5*c^2*b*a^4 + x^7*d^6*c*a^5 + 1/6*x^6*c^7*b^5 + 35/6*x^6*d*c^6*b^4*a + 35*x^6*d^2*c^5*b^3*a^2 + 175/3*x^6*d^3*c^4*b^2*a^3 + 175/6*x^6*d^4*c^3*b*a^4 + 7/2*x^6*d^5*c^2*a^5 + x^5*c^7*b^4*a + 14*x^5*d*c^6*b^3*a^2 + 42*x^5*d^2*c^5*b^2*a^3 + 35*x^5*d^3*c^4*b*a^4 + 7*x^5*d^4*c^3*a^5 + 5/2*x^4*c^7*b^3*a^2 + 35/2*x^4*d*c^6*b^2*a^3 + 105/4*x^4*d^2*c^5*b*a^4 + 35/4*x^4*d^3*c^4*a^5 + 10/3*x^3*c^7*b^2*a^3 + 35/3*x^3*d*c^6*b*a^4 + 7*x^3*d^2*c^5*a^5 + 5/2*x^2*c^7*b*a^4 + 7/2*x^2*d*c^6*a^5 + x*c^7*a^5","B",0
1278,1,546,0,1.306654," ","integrate((b*x+a)^4*(d*x+c)^7,x, algorithm=""fricas"")","\frac{1}{12} x^{12} d^{7} b^{4} + \frac{7}{11} x^{11} d^{6} c b^{4} + \frac{4}{11} x^{11} d^{7} b^{3} a + \frac{21}{10} x^{10} d^{5} c^{2} b^{4} + \frac{14}{5} x^{10} d^{6} c b^{3} a + \frac{3}{5} x^{10} d^{7} b^{2} a^{2} + \frac{35}{9} x^{9} d^{4} c^{3} b^{4} + \frac{28}{3} x^{9} d^{5} c^{2} b^{3} a + \frac{14}{3} x^{9} d^{6} c b^{2} a^{2} + \frac{4}{9} x^{9} d^{7} b a^{3} + \frac{35}{8} x^{8} d^{3} c^{4} b^{4} + \frac{35}{2} x^{8} d^{4} c^{3} b^{3} a + \frac{63}{4} x^{8} d^{5} c^{2} b^{2} a^{2} + \frac{7}{2} x^{8} d^{6} c b a^{3} + \frac{1}{8} x^{8} d^{7} a^{4} + 3 x^{7} d^{2} c^{5} b^{4} + 20 x^{7} d^{3} c^{4} b^{3} a + 30 x^{7} d^{4} c^{3} b^{2} a^{2} + 12 x^{7} d^{5} c^{2} b a^{3} + x^{7} d^{6} c a^{4} + \frac{7}{6} x^{6} d c^{6} b^{4} + 14 x^{6} d^{2} c^{5} b^{3} a + 35 x^{6} d^{3} c^{4} b^{2} a^{2} + \frac{70}{3} x^{6} d^{4} c^{3} b a^{3} + \frac{7}{2} x^{6} d^{5} c^{2} a^{4} + \frac{1}{5} x^{5} c^{7} b^{4} + \frac{28}{5} x^{5} d c^{6} b^{3} a + \frac{126}{5} x^{5} d^{2} c^{5} b^{2} a^{2} + 28 x^{5} d^{3} c^{4} b a^{3} + 7 x^{5} d^{4} c^{3} a^{4} + x^{4} c^{7} b^{3} a + \frac{21}{2} x^{4} d c^{6} b^{2} a^{2} + 21 x^{4} d^{2} c^{5} b a^{3} + \frac{35}{4} x^{4} d^{3} c^{4} a^{4} + 2 x^{3} c^{7} b^{2} a^{2} + \frac{28}{3} x^{3} d c^{6} b a^{3} + 7 x^{3} d^{2} c^{5} a^{4} + 2 x^{2} c^{7} b a^{3} + \frac{7}{2} x^{2} d c^{6} a^{4} + x c^{7} a^{4}"," ",0,"1/12*x^12*d^7*b^4 + 7/11*x^11*d^6*c*b^4 + 4/11*x^11*d^7*b^3*a + 21/10*x^10*d^5*c^2*b^4 + 14/5*x^10*d^6*c*b^3*a + 3/5*x^10*d^7*b^2*a^2 + 35/9*x^9*d^4*c^3*b^4 + 28/3*x^9*d^5*c^2*b^3*a + 14/3*x^9*d^6*c*b^2*a^2 + 4/9*x^9*d^7*b*a^3 + 35/8*x^8*d^3*c^4*b^4 + 35/2*x^8*d^4*c^3*b^3*a + 63/4*x^8*d^5*c^2*b^2*a^2 + 7/2*x^8*d^6*c*b*a^3 + 1/8*x^8*d^7*a^4 + 3*x^7*d^2*c^5*b^4 + 20*x^7*d^3*c^4*b^3*a + 30*x^7*d^4*c^3*b^2*a^2 + 12*x^7*d^5*c^2*b*a^3 + x^7*d^6*c*a^4 + 7/6*x^6*d*c^6*b^4 + 14*x^6*d^2*c^5*b^3*a + 35*x^6*d^3*c^4*b^2*a^2 + 70/3*x^6*d^4*c^3*b*a^3 + 7/2*x^6*d^5*c^2*a^4 + 1/5*x^5*c^7*b^4 + 28/5*x^5*d*c^6*b^3*a + 126/5*x^5*d^2*c^5*b^2*a^2 + 28*x^5*d^3*c^4*b*a^3 + 7*x^5*d^4*c^3*a^4 + x^4*c^7*b^3*a + 21/2*x^4*d*c^6*b^2*a^2 + 21*x^4*d^2*c^5*b*a^3 + 35/4*x^4*d^3*c^4*a^4 + 2*x^3*c^7*b^2*a^2 + 28/3*x^3*d*c^6*b*a^3 + 7*x^3*d^2*c^5*a^4 + 2*x^2*c^7*b*a^3 + 7/2*x^2*d*c^6*a^4 + x*c^7*a^4","B",0
1279,1,420,0,1.253468," ","integrate((b*x+a)^3*(d*x+c)^7,x, algorithm=""fricas"")","\frac{1}{11} x^{11} d^{7} b^{3} + \frac{7}{10} x^{10} d^{6} c b^{3} + \frac{3}{10} x^{10} d^{7} b^{2} a + \frac{7}{3} x^{9} d^{5} c^{2} b^{3} + \frac{7}{3} x^{9} d^{6} c b^{2} a + \frac{1}{3} x^{9} d^{7} b a^{2} + \frac{35}{8} x^{8} d^{4} c^{3} b^{3} + \frac{63}{8} x^{8} d^{5} c^{2} b^{2} a + \frac{21}{8} x^{8} d^{6} c b a^{2} + \frac{1}{8} x^{8} d^{7} a^{3} + 5 x^{7} d^{3} c^{4} b^{3} + 15 x^{7} d^{4} c^{3} b^{2} a + 9 x^{7} d^{5} c^{2} b a^{2} + x^{7} d^{6} c a^{3} + \frac{7}{2} x^{6} d^{2} c^{5} b^{3} + \frac{35}{2} x^{6} d^{3} c^{4} b^{2} a + \frac{35}{2} x^{6} d^{4} c^{3} b a^{2} + \frac{7}{2} x^{6} d^{5} c^{2} a^{3} + \frac{7}{5} x^{5} d c^{6} b^{3} + \frac{63}{5} x^{5} d^{2} c^{5} b^{2} a + 21 x^{5} d^{3} c^{4} b a^{2} + 7 x^{5} d^{4} c^{3} a^{3} + \frac{1}{4} x^{4} c^{7} b^{3} + \frac{21}{4} x^{4} d c^{6} b^{2} a + \frac{63}{4} x^{4} d^{2} c^{5} b a^{2} + \frac{35}{4} x^{4} d^{3} c^{4} a^{3} + x^{3} c^{7} b^{2} a + 7 x^{3} d c^{6} b a^{2} + 7 x^{3} d^{2} c^{5} a^{3} + \frac{3}{2} x^{2} c^{7} b a^{2} + \frac{7}{2} x^{2} d c^{6} a^{3} + x c^{7} a^{3}"," ",0,"1/11*x^11*d^7*b^3 + 7/10*x^10*d^6*c*b^3 + 3/10*x^10*d^7*b^2*a + 7/3*x^9*d^5*c^2*b^3 + 7/3*x^9*d^6*c*b^2*a + 1/3*x^9*d^7*b*a^2 + 35/8*x^8*d^4*c^3*b^3 + 63/8*x^8*d^5*c^2*b^2*a + 21/8*x^8*d^6*c*b*a^2 + 1/8*x^8*d^7*a^3 + 5*x^7*d^3*c^4*b^3 + 15*x^7*d^4*c^3*b^2*a + 9*x^7*d^5*c^2*b*a^2 + x^7*d^6*c*a^3 + 7/2*x^6*d^2*c^5*b^3 + 35/2*x^6*d^3*c^4*b^2*a + 35/2*x^6*d^4*c^3*b*a^2 + 7/2*x^6*d^5*c^2*a^3 + 7/5*x^5*d*c^6*b^3 + 63/5*x^5*d^2*c^5*b^2*a + 21*x^5*d^3*c^4*b*a^2 + 7*x^5*d^4*c^3*a^3 + 1/4*x^4*c^7*b^3 + 21/4*x^4*d*c^6*b^2*a + 63/4*x^4*d^2*c^5*b*a^2 + 35/4*x^4*d^3*c^4*a^3 + x^3*c^7*b^2*a + 7*x^3*d*c^6*b*a^2 + 7*x^3*d^2*c^5*a^3 + 3/2*x^2*c^7*b*a^2 + 7/2*x^2*d*c^6*a^3 + x*c^7*a^3","B",0
1280,1,294,0,1.206403," ","integrate((b*x+a)^2*(d*x+c)^7,x, algorithm=""fricas"")","\frac{1}{10} x^{10} d^{7} b^{2} + \frac{7}{9} x^{9} d^{6} c b^{2} + \frac{2}{9} x^{9} d^{7} b a + \frac{21}{8} x^{8} d^{5} c^{2} b^{2} + \frac{7}{4} x^{8} d^{6} c b a + \frac{1}{8} x^{8} d^{7} a^{2} + 5 x^{7} d^{4} c^{3} b^{2} + 6 x^{7} d^{5} c^{2} b a + x^{7} d^{6} c a^{2} + \frac{35}{6} x^{6} d^{3} c^{4} b^{2} + \frac{35}{3} x^{6} d^{4} c^{3} b a + \frac{7}{2} x^{6} d^{5} c^{2} a^{2} + \frac{21}{5} x^{5} d^{2} c^{5} b^{2} + 14 x^{5} d^{3} c^{4} b a + 7 x^{5} d^{4} c^{3} a^{2} + \frac{7}{4} x^{4} d c^{6} b^{2} + \frac{21}{2} x^{4} d^{2} c^{5} b a + \frac{35}{4} x^{4} d^{3} c^{4} a^{2} + \frac{1}{3} x^{3} c^{7} b^{2} + \frac{14}{3} x^{3} d c^{6} b a + 7 x^{3} d^{2} c^{5} a^{2} + x^{2} c^{7} b a + \frac{7}{2} x^{2} d c^{6} a^{2} + x c^{7} a^{2}"," ",0,"1/10*x^10*d^7*b^2 + 7/9*x^9*d^6*c*b^2 + 2/9*x^9*d^7*b*a + 21/8*x^8*d^5*c^2*b^2 + 7/4*x^8*d^6*c*b*a + 1/8*x^8*d^7*a^2 + 5*x^7*d^4*c^3*b^2 + 6*x^7*d^5*c^2*b*a + x^7*d^6*c*a^2 + 35/6*x^6*d^3*c^4*b^2 + 35/3*x^6*d^4*c^3*b*a + 7/2*x^6*d^5*c^2*a^2 + 21/5*x^5*d^2*c^5*b^2 + 14*x^5*d^3*c^4*b*a + 7*x^5*d^4*c^3*a^2 + 7/4*x^4*d*c^6*b^2 + 21/2*x^4*d^2*c^5*b*a + 35/4*x^4*d^3*c^4*a^2 + 1/3*x^3*c^7*b^2 + 14/3*x^3*d*c^6*b*a + 7*x^3*d^2*c^5*a^2 + x^2*c^7*b*a + 7/2*x^2*d*c^6*a^2 + x*c^7*a^2","B",0
1281,1,169,0,1.566345," ","integrate((b*x+a)*(d*x+c)^7,x, algorithm=""fricas"")","\frac{1}{9} x^{9} d^{7} b + \frac{7}{8} x^{8} d^{6} c b + \frac{1}{8} x^{8} d^{7} a + 3 x^{7} d^{5} c^{2} b + x^{7} d^{6} c a + \frac{35}{6} x^{6} d^{4} c^{3} b + \frac{7}{2} x^{6} d^{5} c^{2} a + 7 x^{5} d^{3} c^{4} b + 7 x^{5} d^{4} c^{3} a + \frac{21}{4} x^{4} d^{2} c^{5} b + \frac{35}{4} x^{4} d^{3} c^{4} a + \frac{7}{3} x^{3} d c^{6} b + 7 x^{3} d^{2} c^{5} a + \frac{1}{2} x^{2} c^{7} b + \frac{7}{2} x^{2} d c^{6} a + x c^{7} a"," ",0,"1/9*x^9*d^7*b + 7/8*x^8*d^6*c*b + 1/8*x^8*d^7*a + 3*x^7*d^5*c^2*b + x^7*d^6*c*a + 35/6*x^6*d^4*c^3*b + 7/2*x^6*d^5*c^2*a + 7*x^5*d^3*c^4*b + 7*x^5*d^4*c^3*a + 21/4*x^4*d^2*c^5*b + 35/4*x^4*d^3*c^4*a + 7/3*x^3*d*c^6*b + 7*x^3*d^2*c^5*a + 1/2*x^2*c^7*b + 7/2*x^2*d*c^6*a + x*c^7*a","B",0
1282,1,75,0,1.285346," ","integrate((d*x+c)^7,x, algorithm=""fricas"")","\frac{1}{8} x^{8} d^{7} + x^{7} d^{6} c + \frac{7}{2} x^{6} d^{5} c^{2} + 7 x^{5} d^{4} c^{3} + \frac{35}{4} x^{4} d^{3} c^{4} + 7 x^{3} d^{2} c^{5} + \frac{7}{2} x^{2} d c^{6} + x c^{7}"," ",0,"1/8*x^8*d^7 + x^7*d^6*c + 7/2*x^6*d^5*c^2 + 7*x^5*d^4*c^3 + 35/4*x^4*d^3*c^4 + 7*x^3*d^2*c^5 + 7/2*x^2*d*c^6 + x*c^7","B",0
1283,1,462,0,1.171033," ","integrate((d*x+c)^7/(b*x+a),x, algorithm=""fricas"")","\frac{60 \, b^{7} d^{7} x^{7} + 70 \, {\left(7 \, b^{7} c d^{6} - a b^{6} d^{7}\right)} x^{6} + 84 \, {\left(21 \, b^{7} c^{2} d^{5} - 7 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 105 \, {\left(35 \, b^{7} c^{3} d^{4} - 21 \, a b^{6} c^{2} d^{5} + 7 \, a^{2} b^{5} c d^{6} - a^{3} b^{4} d^{7}\right)} x^{4} + 140 \, {\left(35 \, b^{7} c^{4} d^{3} - 35 \, a b^{6} c^{3} d^{4} + 21 \, 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} + 210 \, {\left(21 \, b^{7} c^{5} d^{2} - 35 \, a b^{6} c^{4} d^{3} + 35 \, a^{2} b^{5} c^{3} d^{4} - 21 \, 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} + 420 \, {\left(7 \, b^{7} c^{6} d - 21 \, a b^{6} c^{5} d^{2} + 35 \, a^{2} b^{5} c^{4} d^{3} - 35 \, a^{3} b^{4} c^{3} d^{4} + 21 \, a^{4} b^{3} c^{2} d^{5} - 7 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x + 420 \, {\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)}{420 \, b^{8}}"," ",0,"1/420*(60*b^7*d^7*x^7 + 70*(7*b^7*c*d^6 - a*b^6*d^7)*x^6 + 84*(21*b^7*c^2*d^5 - 7*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 105*(35*b^7*c^3*d^4 - 21*a*b^6*c^2*d^5 + 7*a^2*b^5*c*d^6 - a^3*b^4*d^7)*x^4 + 140*(35*b^7*c^4*d^3 - 35*a*b^6*c^3*d^4 + 21*a^2*b^5*c^2*d^5 - 7*a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 210*(21*b^7*c^5*d^2 - 35*a*b^6*c^4*d^3 + 35*a^2*b^5*c^3*d^4 - 21*a^3*b^4*c^2*d^5 + 7*a^4*b^3*c*d^6 - a^5*b^2*d^7)*x^2 + 420*(7*b^7*c^6*d - 21*a*b^6*c^5*d^2 + 35*a^2*b^5*c^4*d^3 - 35*a^3*b^4*c^3*d^4 + 21*a^4*b^3*c^2*d^5 - 7*a^5*b^2*c*d^6 + a^6*b*d^7)*x + 420*(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
1284,1,632,0,1.579796," ","integrate((d*x+c)^7/(b*x+a)^2,x, algorithm=""fricas"")","\frac{10 \, b^{7} d^{7} x^{7} - 60 \, b^{7} c^{7} + 420 \, a b^{6} c^{6} d - 1260 \, a^{2} b^{5} c^{5} d^{2} + 2100 \, a^{3} b^{4} c^{4} d^{3} - 2100 \, a^{4} b^{3} c^{3} d^{4} + 1260 \, a^{5} b^{2} c^{2} d^{5} - 420 \, a^{6} b c d^{6} + 60 \, a^{7} d^{7} + 14 \, {\left(6 \, b^{7} c d^{6} - a b^{6} d^{7}\right)} x^{6} + 21 \, {\left(15 \, b^{7} c^{2} d^{5} - 6 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 35 \, {\left(20 \, b^{7} c^{3} d^{4} - 15 \, a b^{6} c^{2} d^{5} + 6 \, a^{2} b^{5} c d^{6} - a^{3} b^{4} d^{7}\right)} x^{4} + 70 \, {\left(15 \, b^{7} c^{4} d^{3} - 20 \, a b^{6} c^{3} d^{4} + 15 \, 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} + 210 \, {\left(6 \, b^{7} c^{5} d^{2} - 15 \, a b^{6} c^{4} d^{3} + 20 \, a^{2} b^{5} c^{3} d^{4} - 15 \, 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} + 60 \, {\left(21 \, a b^{6} c^{5} d^{2} - 70 \, a^{2} b^{5} c^{4} d^{3} + 105 \, a^{3} b^{4} c^{3} d^{4} - 84 \, a^{4} b^{3} c^{2} d^{5} + 35 \, a^{5} b^{2} c d^{6} - 6 \, a^{6} b d^{7}\right)} x + 420 \, {\left(a b^{6} c^{6} d - 6 \, a^{2} b^{5} c^{5} d^{2} + 15 \, a^{3} b^{4} c^{4} d^{3} - 20 \, a^{4} b^{3} c^{3} d^{4} + 15 \, a^{5} b^{2} c^{2} d^{5} - 6 \, a^{6} b c d^{6} + a^{7} d^{7} + {\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\right)} \log\left(b x + a\right)}{60 \, {\left(b^{9} x + a b^{8}\right)}}"," ",0,"1/60*(10*b^7*d^7*x^7 - 60*b^7*c^7 + 420*a*b^6*c^6*d - 1260*a^2*b^5*c^5*d^2 + 2100*a^3*b^4*c^4*d^3 - 2100*a^4*b^3*c^3*d^4 + 1260*a^5*b^2*c^2*d^5 - 420*a^6*b*c*d^6 + 60*a^7*d^7 + 14*(6*b^7*c*d^6 - a*b^6*d^7)*x^6 + 21*(15*b^7*c^2*d^5 - 6*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 35*(20*b^7*c^3*d^4 - 15*a*b^6*c^2*d^5 + 6*a^2*b^5*c*d^6 - a^3*b^4*d^7)*x^4 + 70*(15*b^7*c^4*d^3 - 20*a*b^6*c^3*d^4 + 15*a^2*b^5*c^2*d^5 - 6*a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 210*(6*b^7*c^5*d^2 - 15*a*b^6*c^4*d^3 + 20*a^2*b^5*c^3*d^4 - 15*a^3*b^4*c^2*d^5 + 6*a^4*b^3*c*d^6 - a^5*b^2*d^7)*x^2 + 60*(21*a*b^6*c^5*d^2 - 70*a^2*b^5*c^4*d^3 + 105*a^3*b^4*c^3*d^4 - 84*a^4*b^3*c^2*d^5 + 35*a^5*b^2*c*d^6 - 6*a^6*b*d^7)*x + 420*(a*b^6*c^6*d - 6*a^2*b^5*c^5*d^2 + 15*a^3*b^4*c^4*d^3 - 20*a^4*b^3*c^3*d^4 + 15*a^5*b^2*c^2*d^5 - 6*a^6*b*c*d^6 + a^7*d^7 + (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)*log(b*x + a))/(b^9*x + a*b^8)","B",0
1285,1,703,0,1.201709," ","integrate((d*x+c)^7/(b*x+a)^3,x, algorithm=""fricas"")","\frac{4 \, b^{7} d^{7} x^{7} - 10 \, b^{7} c^{7} - 70 \, a b^{6} c^{6} d + 630 \, a^{2} b^{5} c^{5} d^{2} - 1750 \, a^{3} b^{4} c^{4} d^{3} + 2450 \, a^{4} b^{3} c^{3} d^{4} - 1890 \, a^{5} b^{2} c^{2} d^{5} + 770 \, a^{6} b c d^{6} - 130 \, a^{7} d^{7} + 7 \, {\left(5 \, b^{7} c d^{6} - a b^{6} d^{7}\right)} x^{6} + 14 \, {\left(10 \, b^{7} c^{2} d^{5} - 5 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 35 \, {\left(10 \, b^{7} c^{3} d^{4} - 10 \, a b^{6} c^{2} d^{5} + 5 \, a^{2} b^{5} c d^{6} - a^{3} b^{4} d^{7}\right)} x^{4} + 140 \, {\left(5 \, b^{7} c^{4} d^{3} - 10 \, a b^{6} c^{3} d^{4} + 10 \, 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} + 10 \, {\left(140 \, a b^{6} c^{4} d^{3} - 385 \, a^{2} b^{5} c^{3} d^{4} + 441 \, a^{3} b^{4} c^{2} d^{5} - 238 \, a^{4} b^{3} c d^{6} + 50 \, a^{5} b^{2} d^{7}\right)} x^{2} - 20 \, {\left(7 \, b^{7} c^{6} d - 42 \, 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} - 21 \, a^{4} b^{3} c^{2} d^{5} + 28 \, a^{5} b^{2} c d^{6} - 8 \, a^{6} b d^{7}\right)} x + 420 \, {\left(a^{2} b^{5} c^{5} d^{2} - 5 \, a^{3} b^{4} c^{4} d^{3} + 10 \, a^{4} b^{3} c^{3} d^{4} - 10 \, a^{5} b^{2} c^{2} d^{5} + 5 \, a^{6} b c d^{6} - a^{7} d^{7} + {\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} + 2 \, {\left(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} - 10 \, a^{4} b^{3} c^{2} d^{5} + 5 \, a^{5} b^{2} c d^{6} - a^{6} b d^{7}\right)} x\right)} \log\left(b x + a\right)}{20 \, {\left(b^{10} x^{2} + 2 \, a b^{9} x + a^{2} b^{8}\right)}}"," ",0,"1/20*(4*b^7*d^7*x^7 - 10*b^7*c^7 - 70*a*b^6*c^6*d + 630*a^2*b^5*c^5*d^2 - 1750*a^3*b^4*c^4*d^3 + 2450*a^4*b^3*c^3*d^4 - 1890*a^5*b^2*c^2*d^5 + 770*a^6*b*c*d^6 - 130*a^7*d^7 + 7*(5*b^7*c*d^6 - a*b^6*d^7)*x^6 + 14*(10*b^7*c^2*d^5 - 5*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 35*(10*b^7*c^3*d^4 - 10*a*b^6*c^2*d^5 + 5*a^2*b^5*c*d^6 - a^3*b^4*d^7)*x^4 + 140*(5*b^7*c^4*d^3 - 10*a*b^6*c^3*d^4 + 10*a^2*b^5*c^2*d^5 - 5*a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 10*(140*a*b^6*c^4*d^3 - 385*a^2*b^5*c^3*d^4 + 441*a^3*b^4*c^2*d^5 - 238*a^4*b^3*c*d^6 + 50*a^5*b^2*d^7)*x^2 - 20*(7*b^7*c^6*d - 42*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 - 21*a^4*b^3*c^2*d^5 + 28*a^5*b^2*c*d^6 - 8*a^6*b*d^7)*x + 420*(a^2*b^5*c^5*d^2 - 5*a^3*b^4*c^4*d^3 + 10*a^4*b^3*c^3*d^4 - 10*a^5*b^2*c^2*d^5 + 5*a^6*b*c*d^6 - a^7*d^7 + (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 + 2*(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 - 10*a^4*b^3*c^2*d^5 + 5*a^5*b^2*c*d^6 - a^6*b*d^7)*x)*log(b*x + a))/(b^10*x^2 + 2*a*b^9*x + a^2*b^8)","B",0
1286,1,739,0,1.509465," ","integrate((d*x+c)^7/(b*x+a)^4,x, algorithm=""fricas"")","\frac{3 \, b^{7} d^{7} x^{7} - 4 \, b^{7} c^{7} - 14 \, a b^{6} c^{6} d - 84 \, a^{2} b^{5} c^{5} d^{2} + 770 \, a^{3} b^{4} c^{4} d^{3} - 1820 \, a^{4} b^{3} c^{3} d^{4} + 1974 \, a^{5} b^{2} c^{2} d^{5} - 1036 \, a^{6} b c d^{6} + 214 \, a^{7} d^{7} + 7 \, {\left(4 \, b^{7} c d^{6} - a b^{6} d^{7}\right)} x^{6} + 21 \, {\left(6 \, b^{7} c^{2} d^{5} - 4 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 105 \, {\left(4 \, b^{7} c^{3} d^{4} - 6 \, a b^{6} c^{2} d^{5} + 4 \, a^{2} b^{5} c d^{6} - a^{3} b^{4} d^{7}\right)} x^{4} + 2 \, {\left(630 \, a b^{6} c^{3} d^{4} - 1323 \, a^{2} b^{5} c^{2} d^{5} + 1022 \, a^{3} b^{4} c d^{6} - 278 \, a^{4} b^{3} d^{7}\right)} x^{3} - 6 \, {\left(42 \, b^{7} c^{5} d^{2} - 210 \, a b^{6} c^{4} d^{3} + 210 \, a^{2} b^{5} c^{3} d^{4} + 63 \, a^{3} b^{4} c^{2} d^{5} - 182 \, a^{4} b^{3} c d^{6} + 68 \, a^{5} b^{2} d^{7}\right)} x^{2} - 6 \, {\left(7 \, b^{7} c^{6} d + 42 \, a b^{6} c^{5} d^{2} - 315 \, a^{2} b^{5} c^{4} d^{3} + 630 \, a^{3} b^{4} c^{3} d^{4} - 567 \, a^{4} b^{3} c^{2} d^{5} + 238 \, a^{5} b^{2} c d^{6} - 37 \, a^{6} b d^{7}\right)} x + 420 \, {\left(a^{3} b^{4} c^{4} d^{3} - 4 \, a^{4} b^{3} c^{3} d^{4} + 6 \, a^{5} b^{2} c^{2} d^{5} - 4 \, a^{6} b c d^{6} + a^{7} d^{7} + {\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} + 3 \, {\left(a b^{6} c^{4} d^{3} - 4 \, a^{2} b^{5} c^{3} d^{4} + 6 \, 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} + 3 \, {\left(a^{2} b^{5} c^{4} d^{3} - 4 \, a^{3} b^{4} c^{3} d^{4} + 6 \, a^{4} b^{3} c^{2} d^{5} - 4 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x\right)} \log\left(b x + a\right)}{12 \, {\left(b^{11} x^{3} + 3 \, a b^{10} x^{2} + 3 \, a^{2} b^{9} x + a^{3} b^{8}\right)}}"," ",0,"1/12*(3*b^7*d^7*x^7 - 4*b^7*c^7 - 14*a*b^6*c^6*d - 84*a^2*b^5*c^5*d^2 + 770*a^3*b^4*c^4*d^3 - 1820*a^4*b^3*c^3*d^4 + 1974*a^5*b^2*c^2*d^5 - 1036*a^6*b*c*d^6 + 214*a^7*d^7 + 7*(4*b^7*c*d^6 - a*b^6*d^7)*x^6 + 21*(6*b^7*c^2*d^5 - 4*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 105*(4*b^7*c^3*d^4 - 6*a*b^6*c^2*d^5 + 4*a^2*b^5*c*d^6 - a^3*b^4*d^7)*x^4 + 2*(630*a*b^6*c^3*d^4 - 1323*a^2*b^5*c^2*d^5 + 1022*a^3*b^4*c*d^6 - 278*a^4*b^3*d^7)*x^3 - 6*(42*b^7*c^5*d^2 - 210*a*b^6*c^4*d^3 + 210*a^2*b^5*c^3*d^4 + 63*a^3*b^4*c^2*d^5 - 182*a^4*b^3*c*d^6 + 68*a^5*b^2*d^7)*x^2 - 6*(7*b^7*c^6*d + 42*a*b^6*c^5*d^2 - 315*a^2*b^5*c^4*d^3 + 630*a^3*b^4*c^3*d^4 - 567*a^4*b^3*c^2*d^5 + 238*a^5*b^2*c*d^6 - 37*a^6*b*d^7)*x + 420*(a^3*b^4*c^4*d^3 - 4*a^4*b^3*c^3*d^4 + 6*a^5*b^2*c^2*d^5 - 4*a^6*b*c*d^6 + a^7*d^7 + (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 + 3*(a*b^6*c^4*d^3 - 4*a^2*b^5*c^3*d^4 + 6*a^3*b^4*c^2*d^5 - 4*a^4*b^3*c*d^6 + a^5*b^2*d^7)*x^2 + 3*(a^2*b^5*c^4*d^3 - 4*a^3*b^4*c^3*d^4 + 6*a^4*b^3*c^2*d^5 - 4*a^5*b^2*c*d^6 + a^6*b*d^7)*x)*log(b*x + a))/(b^11*x^3 + 3*a*b^10*x^2 + 3*a^2*b^9*x + a^3*b^8)","B",0
1287,1,754,0,1.575030," ","integrate((d*x+c)^7/(b*x+a)^5,x, algorithm=""fricas"")","\frac{4 \, b^{7} d^{7} x^{7} - 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} + 14 \, {\left(3 \, b^{7} c d^{6} - a b^{6} d^{7}\right)} x^{6} + 84 \, {\left(3 \, b^{7} c^{2} d^{5} - 3 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 4 \, {\left(252 \, a b^{6} c^{2} d^{5} - 357 \, a^{2} b^{5} c d^{6} + 139 \, a^{3} b^{4} d^{7}\right)} x^{4} - 4 \, {\left(105 \, b^{7} c^{4} d^{3} - 420 \, a b^{6} c^{3} d^{4} + 252 \, a^{2} b^{5} c^{2} d^{5} + 168 \, a^{3} b^{4} c d^{6} - 136 \, a^{4} b^{3} d^{7}\right)} x^{3} - 6 \, {\left(21 \, b^{7} c^{5} d^{2} + 105 \, a b^{6} c^{4} d^{3} - 630 \, a^{2} b^{5} c^{3} d^{4} + 882 \, a^{3} b^{4} c^{2} d^{5} - 462 \, a^{4} b^{3} c d^{6} + 74 \, a^{5} b^{2} d^{7}\right)} x^{2} - 4 \, {\left(7 \, b^{7} c^{6} d + 21 \, a b^{6} c^{5} d^{2} + 105 \, a^{2} b^{5} c^{4} d^{3} - 770 \, a^{3} b^{4} c^{3} d^{4} + 1302 \, a^{4} b^{3} c^{2} d^{5} - 882 \, a^{5} b^{2} c d^{6} + 214 \, a^{6} b d^{7}\right)} x + 420 \, {\left(a^{4} b^{3} c^{3} d^{4} - 3 \, a^{5} b^{2} c^{2} d^{5} + 3 \, a^{6} b c d^{6} - a^{7} d^{7} + {\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} + 4 \, {\left(a b^{6} c^{3} d^{4} - 3 \, 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} + 6 \, {\left(a^{2} b^{5} c^{3} d^{4} - 3 \, 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} + 4 \, {\left(a^{3} b^{4} c^{3} d^{4} - 3 \, a^{4} b^{3} c^{2} d^{5} + 3 \, a^{5} b^{2} c d^{6} - a^{6} b d^{7}\right)} x\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/12*(4*b^7*d^7*x^7 - 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 + 14*(3*b^7*c*d^6 - a*b^6*d^7)*x^6 + 84*(3*b^7*c^2*d^5 - 3*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 4*(252*a*b^6*c^2*d^5 - 357*a^2*b^5*c*d^6 + 139*a^3*b^4*d^7)*x^4 - 4*(105*b^7*c^4*d^3 - 420*a*b^6*c^3*d^4 + 252*a^2*b^5*c^2*d^5 + 168*a^3*b^4*c*d^6 - 136*a^4*b^3*d^7)*x^3 - 6*(21*b^7*c^5*d^2 + 105*a*b^6*c^4*d^3 - 630*a^2*b^5*c^3*d^4 + 882*a^3*b^4*c^2*d^5 - 462*a^4*b^3*c*d^6 + 74*a^5*b^2*d^7)*x^2 - 4*(7*b^7*c^6*d + 21*a*b^6*c^5*d^2 + 105*a^2*b^5*c^4*d^3 - 770*a^3*b^4*c^3*d^4 + 1302*a^4*b^3*c^2*d^5 - 882*a^5*b^2*c*d^6 + 214*a^6*b*d^7)*x + 420*(a^4*b^3*c^3*d^4 - 3*a^5*b^2*c^2*d^5 + 3*a^6*b*c*d^6 - a^7*d^7 + (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 + 4*(a*b^6*c^3*d^4 - 3*a^2*b^5*c^2*d^5 + 3*a^3*b^4*c*d^6 - a^4*b^3*d^7)*x^3 + 6*(a^2*b^5*c^3*d^4 - 3*a^3*b^4*c^2*d^5 + 3*a^4*b^3*c*d^6 - a^5*b^2*d^7)*x^2 + 4*(a^3*b^4*c^3*d^4 - 3*a^4*b^3*c^2*d^5 + 3*a^5*b^2*c*d^6 - a^6*b*d^7)*x)*log(b*x + a))/(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)","B",0
1288,1,732,0,1.398505," ","integrate((d*x+c)^7/(b*x+a)^6,x, algorithm=""fricas"")","\frac{10 \, b^{7} d^{7} x^{7} - 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} + 70 \, {\left(2 \, b^{7} c d^{6} - a b^{6} d^{7}\right)} x^{6} + 100 \, {\left(7 \, a b^{6} c d^{6} - 5 \, a^{2} b^{5} d^{7}\right)} x^{5} - 100 \, {\left(7 \, b^{7} c^{3} d^{4} - 21 \, a b^{6} c^{2} d^{5} + 7 \, a^{2} b^{5} c d^{6} + 4 \, a^{3} b^{4} d^{7}\right)} x^{4} - 50 \, {\left(7 \, b^{7} c^{4} d^{3} + 28 \, a b^{6} c^{3} d^{4} - 126 \, a^{2} b^{5} c^{2} d^{5} + 112 \, a^{3} b^{4} c d^{6} - 26 \, a^{4} b^{3} d^{7}\right)} x^{3} - 10 \, {\left(14 \, b^{7} c^{5} d^{2} + 35 \, a b^{6} c^{4} d^{3} + 140 \, a^{2} b^{5} c^{3} d^{4} - 770 \, a^{3} b^{4} c^{2} d^{5} + 840 \, a^{4} b^{3} c d^{6} - 270 \, a^{5} b^{2} d^{7}\right)} x^{2} - 5 \, {\left(7 \, b^{7} c^{6} d + 14 \, a b^{6} c^{5} d^{2} + 35 \, a^{2} b^{5} c^{4} d^{3} + 140 \, a^{3} b^{4} c^{3} d^{4} - 875 \, a^{4} b^{3} c^{2} d^{5} + 1050 \, a^{5} b^{2} c d^{6} - 375 \, a^{6} b d^{7}\right)} x + 420 \, {\left(a^{5} b^{2} c^{2} d^{5} - 2 \, a^{6} b c d^{6} + a^{7} d^{7} + {\left(b^{7} c^{2} d^{5} - 2 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 5 \, {\left(a b^{6} c^{2} d^{5} - 2 \, a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} x^{4} + 10 \, {\left(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} + 10 \, {\left(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} + 5 \, {\left(a^{4} b^{3} c^{2} d^{5} - 2 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/20*(10*b^7*d^7*x^7 - 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 + 70*(2*b^7*c*d^6 - a*b^6*d^7)*x^6 + 100*(7*a*b^6*c*d^6 - 5*a^2*b^5*d^7)*x^5 - 100*(7*b^7*c^3*d^4 - 21*a*b^6*c^2*d^5 + 7*a^2*b^5*c*d^6 + 4*a^3*b^4*d^7)*x^4 - 50*(7*b^7*c^4*d^3 + 28*a*b^6*c^3*d^4 - 126*a^2*b^5*c^2*d^5 + 112*a^3*b^4*c*d^6 - 26*a^4*b^3*d^7)*x^3 - 10*(14*b^7*c^5*d^2 + 35*a*b^6*c^4*d^3 + 140*a^2*b^5*c^3*d^4 - 770*a^3*b^4*c^2*d^5 + 840*a^4*b^3*c*d^6 - 270*a^5*b^2*d^7)*x^2 - 5*(7*b^7*c^6*d + 14*a*b^6*c^5*d^2 + 35*a^2*b^5*c^4*d^3 + 140*a^3*b^4*c^3*d^4 - 875*a^4*b^3*c^2*d^5 + 1050*a^5*b^2*c*d^6 - 375*a^6*b*d^7)*x + 420*(a^5*b^2*c^2*d^5 - 2*a^6*b*c*d^6 + a^7*d^7 + (b^7*c^2*d^5 - 2*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 5*(a*b^6*c^2*d^5 - 2*a^2*b^5*c*d^6 + a^3*b^4*d^7)*x^4 + 10*(a^2*b^5*c^2*d^5 - 2*a^3*b^4*c*d^6 + a^4*b^3*d^7)*x^3 + 10*(a^3*b^4*c^2*d^5 - 2*a^4*b^3*c*d^6 + a^5*b^2*d^7)*x^2 + 5*(a^4*b^3*c^2*d^5 - 2*a^5*b^2*c*d^6 + a^6*b*d^7)*x)*log(b*x + a))/(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)","B",0
1289,1,692,0,1.513453," ","integrate((d*x+c)^7/(b*x+a)^7,x, algorithm=""fricas"")","\frac{60 \, b^{7} d^{7} x^{7} + 360 \, a b^{6} d^{7} x^{6} - 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} - 180 \, {\left(7 \, b^{7} c^{2} d^{5} - 14 \, a b^{6} c d^{6} + 2 \, a^{2} b^{5} d^{7}\right)} x^{5} - 150 \, {\left(7 \, b^{7} c^{3} d^{4} + 21 \, a b^{6} c^{2} d^{5} - 63 \, a^{2} b^{5} c d^{6} + 27 \, a^{3} b^{4} d^{7}\right)} x^{4} - 100 \, {\left(7 \, b^{7} c^{4} d^{3} + 14 \, a b^{6} c^{3} d^{4} + 42 \, a^{2} b^{5} c^{2} d^{5} - 154 \, a^{3} b^{4} c d^{6} + 82 \, a^{4} b^{3} d^{7}\right)} x^{3} - 15 \, {\left(21 \, b^{7} c^{5} d^{2} + 35 \, a b^{6} c^{4} d^{3} + 70 \, a^{2} b^{5} c^{3} d^{4} + 210 \, a^{3} b^{4} c^{2} d^{5} - 875 \, a^{4} b^{3} c d^{6} + 515 \, a^{5} b^{2} d^{7}\right)} x^{2} - 6 \, {\left(14 \, b^{7} c^{6} d + 21 \, a b^{6} c^{5} d^{2} + 35 \, a^{2} b^{5} c^{4} d^{3} + 70 \, a^{3} b^{4} c^{3} d^{4} + 210 \, a^{4} b^{3} c^{2} d^{5} - 959 \, a^{5} b^{2} c d^{6} + 599 \, a^{6} b d^{7}\right)} x + 420 \, {\left(a^{6} b c d^{6} - a^{7} d^{7} + {\left(b^{7} c d^{6} - a b^{6} d^{7}\right)} x^{6} + 6 \, {\left(a b^{6} c d^{6} - a^{2} b^{5} d^{7}\right)} x^{5} + 15 \, {\left(a^{2} b^{5} c d^{6} - a^{3} b^{4} d^{7}\right)} x^{4} + 20 \, {\left(a^{3} b^{4} c d^{6} - a^{4} b^{3} d^{7}\right)} x^{3} + 15 \, {\left(a^{4} b^{3} c d^{6} - a^{5} b^{2} d^{7}\right)} x^{2} + 6 \, {\left(a^{5} b^{2} c d^{6} - a^{6} b d^{7}\right)} x\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/60*(60*b^7*d^7*x^7 + 360*a*b^6*d^7*x^6 - 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 - 180*(7*b^7*c^2*d^5 - 14*a*b^6*c*d^6 + 2*a^2*b^5*d^7)*x^5 - 150*(7*b^7*c^3*d^4 + 21*a*b^6*c^2*d^5 - 63*a^2*b^5*c*d^6 + 27*a^3*b^4*d^7)*x^4 - 100*(7*b^7*c^4*d^3 + 14*a*b^6*c^3*d^4 + 42*a^2*b^5*c^2*d^5 - 154*a^3*b^4*c*d^6 + 82*a^4*b^3*d^7)*x^3 - 15*(21*b^7*c^5*d^2 + 35*a*b^6*c^4*d^3 + 70*a^2*b^5*c^3*d^4 + 210*a^3*b^4*c^2*d^5 - 875*a^4*b^3*c*d^6 + 515*a^5*b^2*d^7)*x^2 - 6*(14*b^7*c^6*d + 21*a*b^6*c^5*d^2 + 35*a^2*b^5*c^4*d^3 + 70*a^3*b^4*c^3*d^4 + 210*a^4*b^3*c^2*d^5 - 959*a^5*b^2*c*d^6 + 599*a^6*b*d^7)*x + 420*(a^6*b*c*d^6 - a^7*d^7 + (b^7*c*d^6 - a*b^6*d^7)*x^6 + 6*(a*b^6*c*d^6 - a^2*b^5*d^7)*x^5 + 15*(a^2*b^5*c*d^6 - a^3*b^4*d^7)*x^4 + 20*(a^3*b^4*c*d^6 - a^4*b^3*d^7)*x^3 + 15*(a^4*b^3*c*d^6 - a^5*b^2*d^7)*x^2 + 6*(a^5*b^2*c*d^6 - a^6*b*d^7)*x)*log(b*x + a))/(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)","B",0
1290,1,624,0,1.415945," ","integrate((d*x+c)^7/(b*x+a)^8,x, algorithm=""fricas"")","-\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^{7} d^{7} x^{7} + 7 \, a b^{6} d^{7} x^{6} + 21 \, a^{2} b^{5} d^{7} x^{5} + 35 \, a^{3} b^{4} d^{7} x^{4} + 35 \, a^{4} b^{3} d^{7} x^{3} + 21 \, a^{5} b^{2} d^{7} x^{2} + 7 \, a^{6} b d^{7} x + a^{7} d^{7}\right)} \log\left(b x + a\right)}{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)}}"," ",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 - 420*(b^7*d^7*x^7 + 7*a*b^6*d^7*x^6 + 21*a^2*b^5*d^7*x^5 + 35*a^3*b^4*d^7*x^4 + 35*a^4*b^3*d^7*x^3 + 21*a^5*b^2*d^7*x^2 + 7*a^6*b*d^7*x + a^7*d^7)*log(b*x + a))/(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)","B",0
1291,1,509,0,1.394708," ","integrate((d*x+c)^7/(b*x+a)^9,x, algorithm=""fricas"")","-\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
1292,1,548,0,1.410243," ","integrate((d*x+c)^7/(b*x+a)^10,x, algorithm=""fricas"")","-\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
1293,1,559,0,1.495954," ","integrate((d*x+c)^7/(b*x+a)^11,x, algorithm=""fricas"")","-\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
1294,1,570,0,0.711104," ","integrate((d*x+c)^7/(b*x+a)^12,x, algorithm=""fricas"")","-\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
1295,1,581,0,1.416532," ","integrate((d*x+c)^7/(b*x+a)^13,x, algorithm=""fricas"")","-\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
1296,1,592,0,1.229255," ","integrate((d*x+c)^7/(b*x+a)^14,x, algorithm=""fricas"")","-\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
1297,1,603,0,1.353417," ","integrate((d*x+c)^7/(b*x+a)^15,x, algorithm=""fricas"")","-\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
1298,1,614,0,1.099400," ","integrate((d*x+c)^7/(b*x+a)^16,x, algorithm=""fricas"")","-\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
1299,1,2186,0,1.332078," ","integrate((b*x+a)^12*(d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{23} x^{23} d^{10} b^{12} + \frac{5}{11} x^{22} d^{9} c b^{12} + \frac{6}{11} x^{22} d^{10} b^{11} a + \frac{15}{7} x^{21} d^{8} c^{2} b^{12} + \frac{40}{7} x^{21} d^{9} c b^{11} a + \frac{22}{7} x^{21} d^{10} b^{10} a^{2} + 6 x^{20} d^{7} c^{3} b^{12} + 27 x^{20} d^{8} c^{2} b^{11} a + 33 x^{20} d^{9} c b^{10} a^{2} + 11 x^{20} d^{10} b^{9} a^{3} + \frac{210}{19} x^{19} d^{6} c^{4} b^{12} + \frac{1440}{19} x^{19} d^{7} c^{3} b^{11} a + \frac{2970}{19} x^{19} d^{8} c^{2} b^{10} a^{2} + \frac{2200}{19} x^{19} d^{9} c b^{9} a^{3} + \frac{495}{19} x^{19} d^{10} b^{8} a^{4} + 14 x^{18} d^{5} c^{5} b^{12} + 140 x^{18} d^{6} c^{4} b^{11} a + 440 x^{18} d^{7} c^{3} b^{10} a^{2} + 550 x^{18} d^{8} c^{2} b^{9} a^{3} + 275 x^{18} d^{9} c b^{8} a^{4} + 44 x^{18} d^{10} b^{7} a^{5} + \frac{210}{17} x^{17} d^{4} c^{6} b^{12} + \frac{3024}{17} x^{17} d^{5} c^{5} b^{11} a + \frac{13860}{17} x^{17} d^{6} c^{4} b^{10} a^{2} + \frac{26400}{17} x^{17} d^{7} c^{3} b^{9} a^{3} + \frac{22275}{17} x^{17} d^{8} c^{2} b^{8} a^{4} + \frac{7920}{17} x^{17} d^{9} c b^{7} a^{5} + \frac{924}{17} x^{17} d^{10} b^{6} a^{6} + \frac{15}{2} x^{16} d^{3} c^{7} b^{12} + \frac{315}{2} x^{16} d^{4} c^{6} b^{11} a + \frac{2079}{2} x^{16} d^{5} c^{5} b^{10} a^{2} + \frac{5775}{2} x^{16} d^{6} c^{4} b^{9} a^{3} + \frac{7425}{2} x^{16} d^{7} c^{3} b^{8} a^{4} + \frac{4455}{2} x^{16} d^{8} c^{2} b^{7} a^{5} + \frac{1155}{2} x^{16} d^{9} c b^{6} a^{6} + \frac{99}{2} x^{16} d^{10} b^{5} a^{7} + 3 x^{15} d^{2} c^{8} b^{12} + 96 x^{15} d^{3} c^{7} b^{11} a + 924 x^{15} d^{4} c^{6} b^{10} a^{2} + 3696 x^{15} d^{5} c^{5} b^{9} a^{3} + 6930 x^{15} d^{6} c^{4} b^{8} a^{4} + 6336 x^{15} d^{7} c^{3} b^{7} a^{5} + 2772 x^{15} d^{8} c^{2} b^{6} a^{6} + 528 x^{15} d^{9} c b^{5} a^{7} + 33 x^{15} d^{10} b^{4} a^{8} + \frac{5}{7} x^{14} d c^{9} b^{12} + \frac{270}{7} x^{14} d^{2} c^{8} b^{11} a + \frac{3960}{7} x^{14} d^{3} c^{7} b^{10} a^{2} + 3300 x^{14} d^{4} c^{6} b^{9} a^{3} + 8910 x^{14} d^{5} c^{5} b^{8} a^{4} + 11880 x^{14} d^{6} c^{4} b^{7} a^{5} + 7920 x^{14} d^{7} c^{3} b^{6} a^{6} + \frac{17820}{7} x^{14} d^{8} c^{2} b^{5} a^{7} + \frac{2475}{7} x^{14} d^{9} c b^{4} a^{8} + \frac{110}{7} x^{14} d^{10} b^{3} a^{9} + \frac{1}{13} x^{13} c^{10} b^{12} + \frac{120}{13} x^{13} d c^{9} b^{11} a + \frac{2970}{13} x^{13} d^{2} c^{8} b^{10} a^{2} + \frac{26400}{13} x^{13} d^{3} c^{7} b^{9} a^{3} + \frac{103950}{13} x^{13} d^{4} c^{6} b^{8} a^{4} + \frac{199584}{13} x^{13} d^{5} c^{5} b^{7} a^{5} + \frac{194040}{13} x^{13} d^{6} c^{4} b^{6} a^{6} + \frac{95040}{13} x^{13} d^{7} c^{3} b^{5} a^{7} + \frac{22275}{13} x^{13} d^{8} c^{2} b^{4} a^{8} + \frac{2200}{13} x^{13} d^{9} c b^{3} a^{9} + \frac{66}{13} x^{13} d^{10} b^{2} a^{10} + x^{12} c^{10} b^{11} a + 55 x^{12} d c^{9} b^{10} a^{2} + 825 x^{12} d^{2} c^{8} b^{9} a^{3} + 4950 x^{12} d^{3} c^{7} b^{8} a^{4} + 13860 x^{12} d^{4} c^{6} b^{7} a^{5} + 19404 x^{12} d^{5} c^{5} b^{6} a^{6} + 13860 x^{12} d^{6} c^{4} b^{5} a^{7} + 4950 x^{12} d^{7} c^{3} b^{4} a^{8} + 825 x^{12} d^{8} c^{2} b^{3} a^{9} + 55 x^{12} d^{9} c b^{2} a^{10} + x^{12} d^{10} b a^{11} + 6 x^{11} c^{10} b^{10} a^{2} + 200 x^{11} d c^{9} b^{9} a^{3} + 2025 x^{11} d^{2} c^{8} b^{8} a^{4} + 8640 x^{11} d^{3} c^{7} b^{7} a^{5} + 17640 x^{11} d^{4} c^{6} b^{6} a^{6} + 18144 x^{11} d^{5} c^{5} b^{5} a^{7} + 9450 x^{11} d^{6} c^{4} b^{4} a^{8} + 2400 x^{11} d^{7} c^{3} b^{3} a^{9} + 270 x^{11} d^{8} c^{2} b^{2} a^{10} + \frac{120}{11} x^{11} d^{9} c b a^{11} + \frac{1}{11} x^{11} d^{10} a^{12} + 22 x^{10} c^{10} b^{9} a^{3} + 495 x^{10} d c^{9} b^{8} a^{4} + 3564 x^{10} d^{2} c^{8} b^{7} a^{5} + 11088 x^{10} d^{3} c^{7} b^{6} a^{6} + 16632 x^{10} d^{4} c^{6} b^{5} a^{7} + 12474 x^{10} d^{5} c^{5} b^{4} a^{8} + 4620 x^{10} d^{6} c^{4} b^{3} a^{9} + 792 x^{10} d^{7} c^{3} b^{2} a^{10} + 54 x^{10} d^{8} c^{2} b a^{11} + x^{10} d^{9} c a^{12} + 55 x^{9} c^{10} b^{8} a^{4} + 880 x^{9} d c^{9} b^{7} a^{5} + 4620 x^{9} d^{2} c^{8} b^{6} a^{6} + 10560 x^{9} d^{3} c^{7} b^{5} a^{7} + 11550 x^{9} d^{4} c^{6} b^{4} a^{8} + 6160 x^{9} d^{5} c^{5} b^{3} a^{9} + 1540 x^{9} d^{6} c^{4} b^{2} a^{10} + 160 x^{9} d^{7} c^{3} b a^{11} + 5 x^{9} d^{8} c^{2} a^{12} + 99 x^{8} c^{10} b^{7} a^{5} + 1155 x^{8} d c^{9} b^{6} a^{6} + 4455 x^{8} d^{2} c^{8} b^{5} a^{7} + 7425 x^{8} d^{3} c^{7} b^{4} a^{8} + 5775 x^{8} d^{4} c^{6} b^{3} a^{9} + 2079 x^{8} d^{5} c^{5} b^{2} a^{10} + 315 x^{8} d^{6} c^{4} b a^{11} + 15 x^{8} d^{7} c^{3} a^{12} + 132 x^{7} c^{10} b^{6} a^{6} + \frac{7920}{7} x^{7} d c^{9} b^{5} a^{7} + \frac{22275}{7} x^{7} d^{2} c^{8} b^{4} a^{8} + \frac{26400}{7} x^{7} d^{3} c^{7} b^{3} a^{9} + 1980 x^{7} d^{4} c^{6} b^{2} a^{10} + 432 x^{7} d^{5} c^{5} b a^{11} + 30 x^{7} d^{6} c^{4} a^{12} + 132 x^{6} c^{10} b^{5} a^{7} + 825 x^{6} d c^{9} b^{4} a^{8} + 1650 x^{6} d^{2} c^{8} b^{3} a^{9} + 1320 x^{6} d^{3} c^{7} b^{2} a^{10} + 420 x^{6} d^{4} c^{6} b a^{11} + 42 x^{6} d^{5} c^{5} a^{12} + 99 x^{5} c^{10} b^{4} a^{8} + 440 x^{5} d c^{9} b^{3} a^{9} + 594 x^{5} d^{2} c^{8} b^{2} a^{10} + 288 x^{5} d^{3} c^{7} b a^{11} + 42 x^{5} d^{4} c^{6} a^{12} + 55 x^{4} c^{10} b^{3} a^{9} + 165 x^{4} d c^{9} b^{2} a^{10} + 135 x^{4} d^{2} c^{8} b a^{11} + 30 x^{4} d^{3} c^{7} a^{12} + 22 x^{3} c^{10} b^{2} a^{10} + 40 x^{3} d c^{9} b a^{11} + 15 x^{3} d^{2} c^{8} a^{12} + 6 x^{2} c^{10} b a^{11} + 5 x^{2} d c^{9} a^{12} + x c^{10} a^{12}"," ",0,"1/23*x^23*d^10*b^12 + 5/11*x^22*d^9*c*b^12 + 6/11*x^22*d^10*b^11*a + 15/7*x^21*d^8*c^2*b^12 + 40/7*x^21*d^9*c*b^11*a + 22/7*x^21*d^10*b^10*a^2 + 6*x^20*d^7*c^3*b^12 + 27*x^20*d^8*c^2*b^11*a + 33*x^20*d^9*c*b^10*a^2 + 11*x^20*d^10*b^9*a^3 + 210/19*x^19*d^6*c^4*b^12 + 1440/19*x^19*d^7*c^3*b^11*a + 2970/19*x^19*d^8*c^2*b^10*a^2 + 2200/19*x^19*d^9*c*b^9*a^3 + 495/19*x^19*d^10*b^8*a^4 + 14*x^18*d^5*c^5*b^12 + 140*x^18*d^6*c^4*b^11*a + 440*x^18*d^7*c^3*b^10*a^2 + 550*x^18*d^8*c^2*b^9*a^3 + 275*x^18*d^9*c*b^8*a^4 + 44*x^18*d^10*b^7*a^5 + 210/17*x^17*d^4*c^6*b^12 + 3024/17*x^17*d^5*c^5*b^11*a + 13860/17*x^17*d^6*c^4*b^10*a^2 + 26400/17*x^17*d^7*c^3*b^9*a^3 + 22275/17*x^17*d^8*c^2*b^8*a^4 + 7920/17*x^17*d^9*c*b^7*a^5 + 924/17*x^17*d^10*b^6*a^6 + 15/2*x^16*d^3*c^7*b^12 + 315/2*x^16*d^4*c^6*b^11*a + 2079/2*x^16*d^5*c^5*b^10*a^2 + 5775/2*x^16*d^6*c^4*b^9*a^3 + 7425/2*x^16*d^7*c^3*b^8*a^4 + 4455/2*x^16*d^8*c^2*b^7*a^5 + 1155/2*x^16*d^9*c*b^6*a^6 + 99/2*x^16*d^10*b^5*a^7 + 3*x^15*d^2*c^8*b^12 + 96*x^15*d^3*c^7*b^11*a + 924*x^15*d^4*c^6*b^10*a^2 + 3696*x^15*d^5*c^5*b^9*a^3 + 6930*x^15*d^6*c^4*b^8*a^4 + 6336*x^15*d^7*c^3*b^7*a^5 + 2772*x^15*d^8*c^2*b^6*a^6 + 528*x^15*d^9*c*b^5*a^7 + 33*x^15*d^10*b^4*a^8 + 5/7*x^14*d*c^9*b^12 + 270/7*x^14*d^2*c^8*b^11*a + 3960/7*x^14*d^3*c^7*b^10*a^2 + 3300*x^14*d^4*c^6*b^9*a^3 + 8910*x^14*d^5*c^5*b^8*a^4 + 11880*x^14*d^6*c^4*b^7*a^5 + 7920*x^14*d^7*c^3*b^6*a^6 + 17820/7*x^14*d^8*c^2*b^5*a^7 + 2475/7*x^14*d^9*c*b^4*a^8 + 110/7*x^14*d^10*b^3*a^9 + 1/13*x^13*c^10*b^12 + 120/13*x^13*d*c^9*b^11*a + 2970/13*x^13*d^2*c^8*b^10*a^2 + 26400/13*x^13*d^3*c^7*b^9*a^3 + 103950/13*x^13*d^4*c^6*b^8*a^4 + 199584/13*x^13*d^5*c^5*b^7*a^5 + 194040/13*x^13*d^6*c^4*b^6*a^6 + 95040/13*x^13*d^7*c^3*b^5*a^7 + 22275/13*x^13*d^8*c^2*b^4*a^8 + 2200/13*x^13*d^9*c*b^3*a^9 + 66/13*x^13*d^10*b^2*a^10 + x^12*c^10*b^11*a + 55*x^12*d*c^9*b^10*a^2 + 825*x^12*d^2*c^8*b^9*a^3 + 4950*x^12*d^3*c^7*b^8*a^4 + 13860*x^12*d^4*c^6*b^7*a^5 + 19404*x^12*d^5*c^5*b^6*a^6 + 13860*x^12*d^6*c^4*b^5*a^7 + 4950*x^12*d^7*c^3*b^4*a^8 + 825*x^12*d^8*c^2*b^3*a^9 + 55*x^12*d^9*c*b^2*a^10 + x^12*d^10*b*a^11 + 6*x^11*c^10*b^10*a^2 + 200*x^11*d*c^9*b^9*a^3 + 2025*x^11*d^2*c^8*b^8*a^4 + 8640*x^11*d^3*c^7*b^7*a^5 + 17640*x^11*d^4*c^6*b^6*a^6 + 18144*x^11*d^5*c^5*b^5*a^7 + 9450*x^11*d^6*c^4*b^4*a^8 + 2400*x^11*d^7*c^3*b^3*a^9 + 270*x^11*d^8*c^2*b^2*a^10 + 120/11*x^11*d^9*c*b*a^11 + 1/11*x^11*d^10*a^12 + 22*x^10*c^10*b^9*a^3 + 495*x^10*d*c^9*b^8*a^4 + 3564*x^10*d^2*c^8*b^7*a^5 + 11088*x^10*d^3*c^7*b^6*a^6 + 16632*x^10*d^4*c^6*b^5*a^7 + 12474*x^10*d^5*c^5*b^4*a^8 + 4620*x^10*d^6*c^4*b^3*a^9 + 792*x^10*d^7*c^3*b^2*a^10 + 54*x^10*d^8*c^2*b*a^11 + x^10*d^9*c*a^12 + 55*x^9*c^10*b^8*a^4 + 880*x^9*d*c^9*b^7*a^5 + 4620*x^9*d^2*c^8*b^6*a^6 + 10560*x^9*d^3*c^7*b^5*a^7 + 11550*x^9*d^4*c^6*b^4*a^8 + 6160*x^9*d^5*c^5*b^3*a^9 + 1540*x^9*d^6*c^4*b^2*a^10 + 160*x^9*d^7*c^3*b*a^11 + 5*x^9*d^8*c^2*a^12 + 99*x^8*c^10*b^7*a^5 + 1155*x^8*d*c^9*b^6*a^6 + 4455*x^8*d^2*c^8*b^5*a^7 + 7425*x^8*d^3*c^7*b^4*a^8 + 5775*x^8*d^4*c^6*b^3*a^9 + 2079*x^8*d^5*c^5*b^2*a^10 + 315*x^8*d^6*c^4*b*a^11 + 15*x^8*d^7*c^3*a^12 + 132*x^7*c^10*b^6*a^6 + 7920/7*x^7*d*c^9*b^5*a^7 + 22275/7*x^7*d^2*c^8*b^4*a^8 + 26400/7*x^7*d^3*c^7*b^3*a^9 + 1980*x^7*d^4*c^6*b^2*a^10 + 432*x^7*d^5*c^5*b*a^11 + 30*x^7*d^6*c^4*a^12 + 132*x^6*c^10*b^5*a^7 + 825*x^6*d*c^9*b^4*a^8 + 1650*x^6*d^2*c^8*b^3*a^9 + 1320*x^6*d^3*c^7*b^2*a^10 + 420*x^6*d^4*c^6*b*a^11 + 42*x^6*d^5*c^5*a^12 + 99*x^5*c^10*b^4*a^8 + 440*x^5*d*c^9*b^3*a^9 + 594*x^5*d^2*c^8*b^2*a^10 + 288*x^5*d^3*c^7*b*a^11 + 42*x^5*d^4*c^6*a^12 + 55*x^4*c^10*b^3*a^9 + 165*x^4*d*c^9*b^2*a^10 + 135*x^4*d^2*c^8*b*a^11 + 30*x^4*d^3*c^7*a^12 + 22*x^3*c^10*b^2*a^10 + 40*x^3*d*c^9*b*a^11 + 15*x^3*d^2*c^8*a^12 + 6*x^2*c^10*b*a^11 + 5*x^2*d*c^9*a^12 + x*c^10*a^12","B",0
1300,1,2010,0,1.112256," ","integrate((b*x+a)^11*(d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{22} x^{22} d^{10} b^{11} + \frac{10}{21} x^{21} d^{9} c b^{11} + \frac{11}{21} x^{21} d^{10} b^{10} a + \frac{9}{4} x^{20} d^{8} c^{2} b^{11} + \frac{11}{2} x^{20} d^{9} c b^{10} a + \frac{11}{4} x^{20} d^{10} b^{9} a^{2} + \frac{120}{19} x^{19} d^{7} c^{3} b^{11} + \frac{495}{19} x^{19} d^{8} c^{2} b^{10} a + \frac{550}{19} x^{19} d^{9} c b^{9} a^{2} + \frac{165}{19} x^{19} d^{10} b^{8} a^{3} + \frac{35}{3} x^{18} d^{6} c^{4} b^{11} + \frac{220}{3} x^{18} d^{7} c^{3} b^{10} a + \frac{275}{2} x^{18} d^{8} c^{2} b^{9} a^{2} + \frac{275}{3} x^{18} d^{9} c b^{8} a^{3} + \frac{55}{3} x^{18} d^{10} b^{7} a^{4} + \frac{252}{17} x^{17} d^{5} c^{5} b^{11} + \frac{2310}{17} x^{17} d^{6} c^{4} b^{10} a + \frac{6600}{17} x^{17} d^{7} c^{3} b^{9} a^{2} + \frac{7425}{17} x^{17} d^{8} c^{2} b^{8} a^{3} + \frac{3300}{17} x^{17} d^{9} c b^{7} a^{4} + \frac{462}{17} x^{17} d^{10} b^{6} a^{5} + \frac{105}{8} x^{16} d^{4} c^{6} b^{11} + \frac{693}{4} x^{16} d^{5} c^{5} b^{10} a + \frac{5775}{8} x^{16} d^{6} c^{4} b^{9} a^{2} + \frac{2475}{2} x^{16} d^{7} c^{3} b^{8} a^{3} + \frac{7425}{8} x^{16} d^{8} c^{2} b^{7} a^{4} + \frac{1155}{4} x^{16} d^{9} c b^{6} a^{5} + \frac{231}{8} x^{16} d^{10} b^{5} a^{6} + 8 x^{15} d^{3} c^{7} b^{11} + 154 x^{15} d^{4} c^{6} b^{10} a + 924 x^{15} d^{5} c^{5} b^{9} a^{2} + 2310 x^{15} d^{6} c^{4} b^{8} a^{3} + 2640 x^{15} d^{7} c^{3} b^{7} a^{4} + 1386 x^{15} d^{8} c^{2} b^{6} a^{5} + 308 x^{15} d^{9} c b^{5} a^{6} + 22 x^{15} d^{10} b^{4} a^{7} + \frac{45}{14} x^{14} d^{2} c^{8} b^{11} + \frac{660}{7} x^{14} d^{3} c^{7} b^{10} a + 825 x^{14} d^{4} c^{6} b^{9} a^{2} + 2970 x^{14} d^{5} c^{5} b^{8} a^{3} + 4950 x^{14} d^{6} c^{4} b^{7} a^{4} + 3960 x^{14} d^{7} c^{3} b^{6} a^{5} + 1485 x^{14} d^{8} c^{2} b^{5} a^{6} + \frac{1650}{7} x^{14} d^{9} c b^{4} a^{7} + \frac{165}{14} x^{14} d^{10} b^{3} a^{8} + \frac{10}{13} x^{13} d c^{9} b^{11} + \frac{495}{13} x^{13} d^{2} c^{8} b^{10} a + \frac{6600}{13} x^{13} d^{3} c^{7} b^{9} a^{2} + \frac{34650}{13} x^{13} d^{4} c^{6} b^{8} a^{3} + \frac{83160}{13} x^{13} d^{5} c^{5} b^{7} a^{4} + \frac{97020}{13} x^{13} d^{6} c^{4} b^{6} a^{5} + \frac{55440}{13} x^{13} d^{7} c^{3} b^{5} a^{6} + \frac{14850}{13} x^{13} d^{8} c^{2} b^{4} a^{7} + \frac{1650}{13} x^{13} d^{9} c b^{3} a^{8} + \frac{55}{13} x^{13} d^{10} b^{2} a^{9} + \frac{1}{12} x^{12} c^{10} b^{11} + \frac{55}{6} x^{12} d c^{9} b^{10} a + \frac{825}{4} x^{12} d^{2} c^{8} b^{9} a^{2} + 1650 x^{12} d^{3} c^{7} b^{8} a^{3} + 5775 x^{12} d^{4} c^{6} b^{7} a^{4} + 9702 x^{12} d^{5} c^{5} b^{6} a^{5} + 8085 x^{12} d^{6} c^{4} b^{5} a^{6} + 3300 x^{12} d^{7} c^{3} b^{4} a^{7} + \frac{2475}{4} x^{12} d^{8} c^{2} b^{3} a^{8} + \frac{275}{6} x^{12} d^{9} c b^{2} a^{9} + \frac{11}{12} x^{12} d^{10} b a^{10} + x^{11} c^{10} b^{10} a + 50 x^{11} d c^{9} b^{9} a^{2} + 675 x^{11} d^{2} c^{8} b^{8} a^{3} + 3600 x^{11} d^{3} c^{7} b^{7} a^{4} + 8820 x^{11} d^{4} c^{6} b^{6} a^{5} + 10584 x^{11} d^{5} c^{5} b^{5} a^{6} + 6300 x^{11} d^{6} c^{4} b^{4} a^{7} + 1800 x^{11} d^{7} c^{3} b^{3} a^{8} + 225 x^{11} d^{8} c^{2} b^{2} a^{9} + 10 x^{11} d^{9} c b a^{10} + \frac{1}{11} x^{11} d^{10} a^{11} + \frac{11}{2} x^{10} c^{10} b^{9} a^{2} + 165 x^{10} d c^{9} b^{8} a^{3} + 1485 x^{10} d^{2} c^{8} b^{7} a^{4} + 5544 x^{10} d^{3} c^{7} b^{6} a^{5} + 9702 x^{10} d^{4} c^{6} b^{5} a^{6} + 8316 x^{10} d^{5} c^{5} b^{4} a^{7} + 3465 x^{10} d^{6} c^{4} b^{3} a^{8} + 660 x^{10} d^{7} c^{3} b^{2} a^{9} + \frac{99}{2} x^{10} d^{8} c^{2} b a^{10} + x^{10} d^{9} c a^{11} + \frac{55}{3} x^{9} c^{10} b^{8} a^{3} + \frac{1100}{3} x^{9} d c^{9} b^{7} a^{4} + 2310 x^{9} d^{2} c^{8} b^{6} a^{5} + 6160 x^{9} d^{3} c^{7} b^{5} a^{6} + 7700 x^{9} d^{4} c^{6} b^{4} a^{7} + 4620 x^{9} d^{5} c^{5} b^{3} a^{8} + \frac{3850}{3} x^{9} d^{6} c^{4} b^{2} a^{9} + \frac{440}{3} x^{9} d^{7} c^{3} b a^{10} + 5 x^{9} d^{8} c^{2} a^{11} + \frac{165}{4} x^{8} c^{10} b^{7} a^{4} + \frac{1155}{2} x^{8} d c^{9} b^{6} a^{5} + \frac{10395}{4} x^{8} d^{2} c^{8} b^{5} a^{6} + 4950 x^{8} d^{3} c^{7} b^{4} a^{7} + \frac{17325}{4} x^{8} d^{4} c^{6} b^{3} a^{8} + \frac{3465}{2} x^{8} d^{5} c^{5} b^{2} a^{9} + \frac{1155}{4} x^{8} d^{6} c^{4} b a^{10} + 15 x^{8} d^{7} c^{3} a^{11} + 66 x^{7} c^{10} b^{6} a^{5} + 660 x^{7} d c^{9} b^{5} a^{6} + \frac{14850}{7} x^{7} d^{2} c^{8} b^{4} a^{7} + \frac{19800}{7} x^{7} d^{3} c^{7} b^{3} a^{8} + 1650 x^{7} d^{4} c^{6} b^{2} a^{9} + 396 x^{7} d^{5} c^{5} b a^{10} + 30 x^{7} d^{6} c^{4} a^{11} + 77 x^{6} c^{10} b^{5} a^{6} + 550 x^{6} d c^{9} b^{4} a^{7} + \frac{2475}{2} x^{6} d^{2} c^{8} b^{3} a^{8} + 1100 x^{6} d^{3} c^{7} b^{2} a^{9} + 385 x^{6} d^{4} c^{6} b a^{10} + 42 x^{6} d^{5} c^{5} a^{11} + 66 x^{5} c^{10} b^{4} a^{7} + 330 x^{5} d c^{9} b^{3} a^{8} + 495 x^{5} d^{2} c^{8} b^{2} a^{9} + 264 x^{5} d^{3} c^{7} b a^{10} + 42 x^{5} d^{4} c^{6} a^{11} + \frac{165}{4} x^{4} c^{10} b^{3} a^{8} + \frac{275}{2} x^{4} d c^{9} b^{2} a^{9} + \frac{495}{4} x^{4} d^{2} c^{8} b a^{10} + 30 x^{4} d^{3} c^{7} a^{11} + \frac{55}{3} x^{3} c^{10} b^{2} a^{9} + \frac{110}{3} x^{3} d c^{9} b a^{10} + 15 x^{3} d^{2} c^{8} a^{11} + \frac{11}{2} x^{2} c^{10} b a^{10} + 5 x^{2} d c^{9} a^{11} + x c^{10} a^{11}"," ",0,"1/22*x^22*d^10*b^11 + 10/21*x^21*d^9*c*b^11 + 11/21*x^21*d^10*b^10*a + 9/4*x^20*d^8*c^2*b^11 + 11/2*x^20*d^9*c*b^10*a + 11/4*x^20*d^10*b^9*a^2 + 120/19*x^19*d^7*c^3*b^11 + 495/19*x^19*d^8*c^2*b^10*a + 550/19*x^19*d^9*c*b^9*a^2 + 165/19*x^19*d^10*b^8*a^3 + 35/3*x^18*d^6*c^4*b^11 + 220/3*x^18*d^7*c^3*b^10*a + 275/2*x^18*d^8*c^2*b^9*a^2 + 275/3*x^18*d^9*c*b^8*a^3 + 55/3*x^18*d^10*b^7*a^4 + 252/17*x^17*d^5*c^5*b^11 + 2310/17*x^17*d^6*c^4*b^10*a + 6600/17*x^17*d^7*c^3*b^9*a^2 + 7425/17*x^17*d^8*c^2*b^8*a^3 + 3300/17*x^17*d^9*c*b^7*a^4 + 462/17*x^17*d^10*b^6*a^5 + 105/8*x^16*d^4*c^6*b^11 + 693/4*x^16*d^5*c^5*b^10*a + 5775/8*x^16*d^6*c^4*b^9*a^2 + 2475/2*x^16*d^7*c^3*b^8*a^3 + 7425/8*x^16*d^8*c^2*b^7*a^4 + 1155/4*x^16*d^9*c*b^6*a^5 + 231/8*x^16*d^10*b^5*a^6 + 8*x^15*d^3*c^7*b^11 + 154*x^15*d^4*c^6*b^10*a + 924*x^15*d^5*c^5*b^9*a^2 + 2310*x^15*d^6*c^4*b^8*a^3 + 2640*x^15*d^7*c^3*b^7*a^4 + 1386*x^15*d^8*c^2*b^6*a^5 + 308*x^15*d^9*c*b^5*a^6 + 22*x^15*d^10*b^4*a^7 + 45/14*x^14*d^2*c^8*b^11 + 660/7*x^14*d^3*c^7*b^10*a + 825*x^14*d^4*c^6*b^9*a^2 + 2970*x^14*d^5*c^5*b^8*a^3 + 4950*x^14*d^6*c^4*b^7*a^4 + 3960*x^14*d^7*c^3*b^6*a^5 + 1485*x^14*d^8*c^2*b^5*a^6 + 1650/7*x^14*d^9*c*b^4*a^7 + 165/14*x^14*d^10*b^3*a^8 + 10/13*x^13*d*c^9*b^11 + 495/13*x^13*d^2*c^8*b^10*a + 6600/13*x^13*d^3*c^7*b^9*a^2 + 34650/13*x^13*d^4*c^6*b^8*a^3 + 83160/13*x^13*d^5*c^5*b^7*a^4 + 97020/13*x^13*d^6*c^4*b^6*a^5 + 55440/13*x^13*d^7*c^3*b^5*a^6 + 14850/13*x^13*d^8*c^2*b^4*a^7 + 1650/13*x^13*d^9*c*b^3*a^8 + 55/13*x^13*d^10*b^2*a^9 + 1/12*x^12*c^10*b^11 + 55/6*x^12*d*c^9*b^10*a + 825/4*x^12*d^2*c^8*b^9*a^2 + 1650*x^12*d^3*c^7*b^8*a^3 + 5775*x^12*d^4*c^6*b^7*a^4 + 9702*x^12*d^5*c^5*b^6*a^5 + 8085*x^12*d^6*c^4*b^5*a^6 + 3300*x^12*d^7*c^3*b^4*a^7 + 2475/4*x^12*d^8*c^2*b^3*a^8 + 275/6*x^12*d^9*c*b^2*a^9 + 11/12*x^12*d^10*b*a^10 + x^11*c^10*b^10*a + 50*x^11*d*c^9*b^9*a^2 + 675*x^11*d^2*c^8*b^8*a^3 + 3600*x^11*d^3*c^7*b^7*a^4 + 8820*x^11*d^4*c^6*b^6*a^5 + 10584*x^11*d^5*c^5*b^5*a^6 + 6300*x^11*d^6*c^4*b^4*a^7 + 1800*x^11*d^7*c^3*b^3*a^8 + 225*x^11*d^8*c^2*b^2*a^9 + 10*x^11*d^9*c*b*a^10 + 1/11*x^11*d^10*a^11 + 11/2*x^10*c^10*b^9*a^2 + 165*x^10*d*c^9*b^8*a^3 + 1485*x^10*d^2*c^8*b^7*a^4 + 5544*x^10*d^3*c^7*b^6*a^5 + 9702*x^10*d^4*c^6*b^5*a^6 + 8316*x^10*d^5*c^5*b^4*a^7 + 3465*x^10*d^6*c^4*b^3*a^8 + 660*x^10*d^7*c^3*b^2*a^9 + 99/2*x^10*d^8*c^2*b*a^10 + x^10*d^9*c*a^11 + 55/3*x^9*c^10*b^8*a^3 + 1100/3*x^9*d*c^9*b^7*a^4 + 2310*x^9*d^2*c^8*b^6*a^5 + 6160*x^9*d^3*c^7*b^5*a^6 + 7700*x^9*d^4*c^6*b^4*a^7 + 4620*x^9*d^5*c^5*b^3*a^8 + 3850/3*x^9*d^6*c^4*b^2*a^9 + 440/3*x^9*d^7*c^3*b*a^10 + 5*x^9*d^8*c^2*a^11 + 165/4*x^8*c^10*b^7*a^4 + 1155/2*x^8*d*c^9*b^6*a^5 + 10395/4*x^8*d^2*c^8*b^5*a^6 + 4950*x^8*d^3*c^7*b^4*a^7 + 17325/4*x^8*d^4*c^6*b^3*a^8 + 3465/2*x^8*d^5*c^5*b^2*a^9 + 1155/4*x^8*d^6*c^4*b*a^10 + 15*x^8*d^7*c^3*a^11 + 66*x^7*c^10*b^6*a^5 + 660*x^7*d*c^9*b^5*a^6 + 14850/7*x^7*d^2*c^8*b^4*a^7 + 19800/7*x^7*d^3*c^7*b^3*a^8 + 1650*x^7*d^4*c^6*b^2*a^9 + 396*x^7*d^5*c^5*b*a^10 + 30*x^7*d^6*c^4*a^11 + 77*x^6*c^10*b^5*a^6 + 550*x^6*d*c^9*b^4*a^7 + 2475/2*x^6*d^2*c^8*b^3*a^8 + 1100*x^6*d^3*c^7*b^2*a^9 + 385*x^6*d^4*c^6*b*a^10 + 42*x^6*d^5*c^5*a^11 + 66*x^5*c^10*b^4*a^7 + 330*x^5*d*c^9*b^3*a^8 + 495*x^5*d^2*c^8*b^2*a^9 + 264*x^5*d^3*c^7*b*a^10 + 42*x^5*d^4*c^6*a^11 + 165/4*x^4*c^10*b^3*a^8 + 275/2*x^4*d*c^9*b^2*a^9 + 495/4*x^4*d^2*c^8*b*a^10 + 30*x^4*d^3*c^7*a^11 + 55/3*x^3*c^10*b^2*a^9 + 110/3*x^3*d*c^9*b*a^10 + 15*x^3*d^2*c^8*a^11 + 11/2*x^2*c^10*b*a^10 + 5*x^2*d*c^9*a^11 + x*c^10*a^11","B",0
1301,1,1833,0,0.945563," ","integrate((b*x+a)^10*(d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{21} x^{21} d^{10} b^{10} + \frac{1}{2} x^{20} d^{9} c b^{10} + \frac{1}{2} x^{20} d^{10} b^{9} a + \frac{45}{19} x^{19} d^{8} c^{2} b^{10} + \frac{100}{19} x^{19} d^{9} c b^{9} a + \frac{45}{19} x^{19} d^{10} b^{8} a^{2} + \frac{20}{3} x^{18} d^{7} c^{3} b^{10} + 25 x^{18} d^{8} c^{2} b^{9} a + 25 x^{18} d^{9} c b^{8} a^{2} + \frac{20}{3} x^{18} d^{10} b^{7} a^{3} + \frac{210}{17} x^{17} d^{6} c^{4} b^{10} + \frac{1200}{17} x^{17} d^{7} c^{3} b^{9} a + \frac{2025}{17} x^{17} d^{8} c^{2} b^{8} a^{2} + \frac{1200}{17} x^{17} d^{9} c b^{7} a^{3} + \frac{210}{17} x^{17} d^{10} b^{6} a^{4} + \frac{63}{4} x^{16} d^{5} c^{5} b^{10} + \frac{525}{4} x^{16} d^{6} c^{4} b^{9} a + \frac{675}{2} x^{16} d^{7} c^{3} b^{8} a^{2} + \frac{675}{2} x^{16} d^{8} c^{2} b^{7} a^{3} + \frac{525}{4} x^{16} d^{9} c b^{6} a^{4} + \frac{63}{4} x^{16} d^{10} b^{5} a^{5} + 14 x^{15} d^{4} c^{6} b^{10} + 168 x^{15} d^{5} c^{5} b^{9} a + 630 x^{15} d^{6} c^{4} b^{8} a^{2} + 960 x^{15} d^{7} c^{3} b^{7} a^{3} + 630 x^{15} d^{8} c^{2} b^{6} a^{4} + 168 x^{15} d^{9} c b^{5} a^{5} + 14 x^{15} d^{10} b^{4} a^{6} + \frac{60}{7} x^{14} d^{3} c^{7} b^{10} + 150 x^{14} d^{4} c^{6} b^{9} a + 810 x^{14} d^{5} c^{5} b^{8} a^{2} + 1800 x^{14} d^{6} c^{4} b^{7} a^{3} + 1800 x^{14} d^{7} c^{3} b^{6} a^{4} + 810 x^{14} d^{8} c^{2} b^{5} a^{5} + 150 x^{14} d^{9} c b^{4} a^{6} + \frac{60}{7} x^{14} d^{10} b^{3} a^{7} + \frac{45}{13} x^{13} d^{2} c^{8} b^{10} + \frac{1200}{13} x^{13} d^{3} c^{7} b^{9} a + \frac{9450}{13} x^{13} d^{4} c^{6} b^{8} a^{2} + \frac{30240}{13} x^{13} d^{5} c^{5} b^{7} a^{3} + \frac{44100}{13} x^{13} d^{6} c^{4} b^{6} a^{4} + \frac{30240}{13} x^{13} d^{7} c^{3} b^{5} a^{5} + \frac{9450}{13} x^{13} d^{8} c^{2} b^{4} a^{6} + \frac{1200}{13} x^{13} d^{9} c b^{3} a^{7} + \frac{45}{13} x^{13} d^{10} b^{2} a^{8} + \frac{5}{6} x^{12} d c^{9} b^{10} + \frac{75}{2} x^{12} d^{2} c^{8} b^{9} a + 450 x^{12} d^{3} c^{7} b^{8} a^{2} + 2100 x^{12} d^{4} c^{6} b^{7} a^{3} + 4410 x^{12} d^{5} c^{5} b^{6} a^{4} + 4410 x^{12} d^{6} c^{4} b^{5} a^{5} + 2100 x^{12} d^{7} c^{3} b^{4} a^{6} + 450 x^{12} d^{8} c^{2} b^{3} a^{7} + \frac{75}{2} x^{12} d^{9} c b^{2} a^{8} + \frac{5}{6} x^{12} d^{10} b a^{9} + \frac{1}{11} x^{11} c^{10} b^{10} + \frac{100}{11} x^{11} d c^{9} b^{9} a + \frac{2025}{11} x^{11} d^{2} c^{8} b^{8} a^{2} + \frac{14400}{11} x^{11} d^{3} c^{7} b^{7} a^{3} + \frac{44100}{11} x^{11} d^{4} c^{6} b^{6} a^{4} + \frac{63504}{11} x^{11} d^{5} c^{5} b^{5} a^{5} + \frac{44100}{11} x^{11} d^{6} c^{4} b^{4} a^{6} + \frac{14400}{11} x^{11} d^{7} c^{3} b^{3} a^{7} + \frac{2025}{11} x^{11} d^{8} c^{2} b^{2} a^{8} + \frac{100}{11} x^{11} d^{9} c b a^{9} + \frac{1}{11} x^{11} d^{10} a^{10} + x^{10} c^{10} b^{9} a + 45 x^{10} d c^{9} b^{8} a^{2} + 540 x^{10} d^{2} c^{8} b^{7} a^{3} + 2520 x^{10} d^{3} c^{7} b^{6} a^{4} + 5292 x^{10} d^{4} c^{6} b^{5} a^{5} + 5292 x^{10} d^{5} c^{5} b^{4} a^{6} + 2520 x^{10} d^{6} c^{4} b^{3} a^{7} + 540 x^{10} d^{7} c^{3} b^{2} a^{8} + 45 x^{10} d^{8} c^{2} b a^{9} + x^{10} d^{9} c a^{10} + 5 x^{9} c^{10} b^{8} a^{2} + \frac{400}{3} x^{9} d c^{9} b^{7} a^{3} + 1050 x^{9} d^{2} c^{8} b^{6} a^{4} + 3360 x^{9} d^{3} c^{7} b^{5} a^{5} + 4900 x^{9} d^{4} c^{6} b^{4} a^{6} + 3360 x^{9} d^{5} c^{5} b^{3} a^{7} + 1050 x^{9} d^{6} c^{4} b^{2} a^{8} + \frac{400}{3} x^{9} d^{7} c^{3} b a^{9} + 5 x^{9} d^{8} c^{2} a^{10} + 15 x^{8} c^{10} b^{7} a^{3} + \frac{525}{2} x^{8} d c^{9} b^{6} a^{4} + \frac{2835}{2} x^{8} d^{2} c^{8} b^{5} a^{5} + 3150 x^{8} d^{3} c^{7} b^{4} a^{6} + 3150 x^{8} d^{4} c^{6} b^{3} a^{7} + \frac{2835}{2} x^{8} d^{5} c^{5} b^{2} a^{8} + \frac{525}{2} x^{8} d^{6} c^{4} b a^{9} + 15 x^{8} d^{7} c^{3} a^{10} + 30 x^{7} c^{10} b^{6} a^{4} + 360 x^{7} d c^{9} b^{5} a^{5} + 1350 x^{7} d^{2} c^{8} b^{4} a^{6} + \frac{14400}{7} x^{7} d^{3} c^{7} b^{3} a^{7} + 1350 x^{7} d^{4} c^{6} b^{2} a^{8} + 360 x^{7} d^{5} c^{5} b a^{9} + 30 x^{7} d^{6} c^{4} a^{10} + 42 x^{6} c^{10} b^{5} a^{5} + 350 x^{6} d c^{9} b^{4} a^{6} + 900 x^{6} d^{2} c^{8} b^{3} a^{7} + 900 x^{6} d^{3} c^{7} b^{2} a^{8} + 350 x^{6} d^{4} c^{6} b a^{9} + 42 x^{6} d^{5} c^{5} a^{10} + 42 x^{5} c^{10} b^{4} a^{6} + 240 x^{5} d c^{9} b^{3} a^{7} + 405 x^{5} d^{2} c^{8} b^{2} a^{8} + 240 x^{5} d^{3} c^{7} b a^{9} + 42 x^{5} d^{4} c^{6} a^{10} + 30 x^{4} c^{10} b^{3} a^{7} + \frac{225}{2} x^{4} d c^{9} b^{2} a^{8} + \frac{225}{2} x^{4} d^{2} c^{8} b a^{9} + 30 x^{4} d^{3} c^{7} a^{10} + 15 x^{3} c^{10} b^{2} a^{8} + \frac{100}{3} x^{3} d c^{9} b a^{9} + 15 x^{3} d^{2} c^{8} a^{10} + 5 x^{2} c^{10} b a^{9} + 5 x^{2} d c^{9} a^{10} + x c^{10} a^{10}"," ",0,"1/21*x^21*d^10*b^10 + 1/2*x^20*d^9*c*b^10 + 1/2*x^20*d^10*b^9*a + 45/19*x^19*d^8*c^2*b^10 + 100/19*x^19*d^9*c*b^9*a + 45/19*x^19*d^10*b^8*a^2 + 20/3*x^18*d^7*c^3*b^10 + 25*x^18*d^8*c^2*b^9*a + 25*x^18*d^9*c*b^8*a^2 + 20/3*x^18*d^10*b^7*a^3 + 210/17*x^17*d^6*c^4*b^10 + 1200/17*x^17*d^7*c^3*b^9*a + 2025/17*x^17*d^8*c^2*b^8*a^2 + 1200/17*x^17*d^9*c*b^7*a^3 + 210/17*x^17*d^10*b^6*a^4 + 63/4*x^16*d^5*c^5*b^10 + 525/4*x^16*d^6*c^4*b^9*a + 675/2*x^16*d^7*c^3*b^8*a^2 + 675/2*x^16*d^8*c^2*b^7*a^3 + 525/4*x^16*d^9*c*b^6*a^4 + 63/4*x^16*d^10*b^5*a^5 + 14*x^15*d^4*c^6*b^10 + 168*x^15*d^5*c^5*b^9*a + 630*x^15*d^6*c^4*b^8*a^2 + 960*x^15*d^7*c^3*b^7*a^3 + 630*x^15*d^8*c^2*b^6*a^4 + 168*x^15*d^9*c*b^5*a^5 + 14*x^15*d^10*b^4*a^6 + 60/7*x^14*d^3*c^7*b^10 + 150*x^14*d^4*c^6*b^9*a + 810*x^14*d^5*c^5*b^8*a^2 + 1800*x^14*d^6*c^4*b^7*a^3 + 1800*x^14*d^7*c^3*b^6*a^4 + 810*x^14*d^8*c^2*b^5*a^5 + 150*x^14*d^9*c*b^4*a^6 + 60/7*x^14*d^10*b^3*a^7 + 45/13*x^13*d^2*c^8*b^10 + 1200/13*x^13*d^3*c^7*b^9*a + 9450/13*x^13*d^4*c^6*b^8*a^2 + 30240/13*x^13*d^5*c^5*b^7*a^3 + 44100/13*x^13*d^6*c^4*b^6*a^4 + 30240/13*x^13*d^7*c^3*b^5*a^5 + 9450/13*x^13*d^8*c^2*b^4*a^6 + 1200/13*x^13*d^9*c*b^3*a^7 + 45/13*x^13*d^10*b^2*a^8 + 5/6*x^12*d*c^9*b^10 + 75/2*x^12*d^2*c^8*b^9*a + 450*x^12*d^3*c^7*b^8*a^2 + 2100*x^12*d^4*c^6*b^7*a^3 + 4410*x^12*d^5*c^5*b^6*a^4 + 4410*x^12*d^6*c^4*b^5*a^5 + 2100*x^12*d^7*c^3*b^4*a^6 + 450*x^12*d^8*c^2*b^3*a^7 + 75/2*x^12*d^9*c*b^2*a^8 + 5/6*x^12*d^10*b*a^9 + 1/11*x^11*c^10*b^10 + 100/11*x^11*d*c^9*b^9*a + 2025/11*x^11*d^2*c^8*b^8*a^2 + 14400/11*x^11*d^3*c^7*b^7*a^3 + 44100/11*x^11*d^4*c^6*b^6*a^4 + 63504/11*x^11*d^5*c^5*b^5*a^5 + 44100/11*x^11*d^6*c^4*b^4*a^6 + 14400/11*x^11*d^7*c^3*b^3*a^7 + 2025/11*x^11*d^8*c^2*b^2*a^8 + 100/11*x^11*d^9*c*b*a^9 + 1/11*x^11*d^10*a^10 + x^10*c^10*b^9*a + 45*x^10*d*c^9*b^8*a^2 + 540*x^10*d^2*c^8*b^7*a^3 + 2520*x^10*d^3*c^7*b^6*a^4 + 5292*x^10*d^4*c^6*b^5*a^5 + 5292*x^10*d^5*c^5*b^4*a^6 + 2520*x^10*d^6*c^4*b^3*a^7 + 540*x^10*d^7*c^3*b^2*a^8 + 45*x^10*d^8*c^2*b*a^9 + x^10*d^9*c*a^10 + 5*x^9*c^10*b^8*a^2 + 400/3*x^9*d*c^9*b^7*a^3 + 1050*x^9*d^2*c^8*b^6*a^4 + 3360*x^9*d^3*c^7*b^5*a^5 + 4900*x^9*d^4*c^6*b^4*a^6 + 3360*x^9*d^5*c^5*b^3*a^7 + 1050*x^9*d^6*c^4*b^2*a^8 + 400/3*x^9*d^7*c^3*b*a^9 + 5*x^9*d^8*c^2*a^10 + 15*x^8*c^10*b^7*a^3 + 525/2*x^8*d*c^9*b^6*a^4 + 2835/2*x^8*d^2*c^8*b^5*a^5 + 3150*x^8*d^3*c^7*b^4*a^6 + 3150*x^8*d^4*c^6*b^3*a^7 + 2835/2*x^8*d^5*c^5*b^2*a^8 + 525/2*x^8*d^6*c^4*b*a^9 + 15*x^8*d^7*c^3*a^10 + 30*x^7*c^10*b^6*a^4 + 360*x^7*d*c^9*b^5*a^5 + 1350*x^7*d^2*c^8*b^4*a^6 + 14400/7*x^7*d^3*c^7*b^3*a^7 + 1350*x^7*d^4*c^6*b^2*a^8 + 360*x^7*d^5*c^5*b*a^9 + 30*x^7*d^6*c^4*a^10 + 42*x^6*c^10*b^5*a^5 + 350*x^6*d*c^9*b^4*a^6 + 900*x^6*d^2*c^8*b^3*a^7 + 900*x^6*d^3*c^7*b^2*a^8 + 350*x^6*d^4*c^6*b*a^9 + 42*x^6*d^5*c^5*a^10 + 42*x^5*c^10*b^4*a^6 + 240*x^5*d*c^9*b^3*a^7 + 405*x^5*d^2*c^8*b^2*a^8 + 240*x^5*d^3*c^7*b*a^9 + 42*x^5*d^4*c^6*a^10 + 30*x^4*c^10*b^3*a^7 + 225/2*x^4*d*c^9*b^2*a^8 + 225/2*x^4*d^2*c^8*b*a^9 + 30*x^4*d^3*c^7*a^10 + 15*x^3*c^10*b^2*a^8 + 100/3*x^3*d*c^9*b*a^9 + 15*x^3*d^2*c^8*a^10 + 5*x^2*c^10*b*a^9 + 5*x^2*d*c^9*a^10 + x*c^10*a^10","B",0
1302,1,1656,0,1.166070," ","integrate((b*x+a)^9*(d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{20} x^{20} d^{10} b^{9} + \frac{10}{19} x^{19} d^{9} c b^{9} + \frac{9}{19} x^{19} d^{10} b^{8} a + \frac{5}{2} x^{18} d^{8} c^{2} b^{9} + 5 x^{18} d^{9} c b^{8} a + 2 x^{18} d^{10} b^{7} a^{2} + \frac{120}{17} x^{17} d^{7} c^{3} b^{9} + \frac{405}{17} x^{17} d^{8} c^{2} b^{8} a + \frac{360}{17} x^{17} d^{9} c b^{7} a^{2} + \frac{84}{17} x^{17} d^{10} b^{6} a^{3} + \frac{105}{8} x^{16} d^{6} c^{4} b^{9} + \frac{135}{2} x^{16} d^{7} c^{3} b^{8} a + \frac{405}{4} x^{16} d^{8} c^{2} b^{7} a^{2} + \frac{105}{2} x^{16} d^{9} c b^{6} a^{3} + \frac{63}{8} x^{16} d^{10} b^{5} a^{4} + \frac{84}{5} x^{15} d^{5} c^{5} b^{9} + 126 x^{15} d^{6} c^{4} b^{8} a + 288 x^{15} d^{7} c^{3} b^{7} a^{2} + 252 x^{15} d^{8} c^{2} b^{6} a^{3} + 84 x^{15} d^{9} c b^{5} a^{4} + \frac{42}{5} x^{15} d^{10} b^{4} a^{5} + 15 x^{14} d^{4} c^{6} b^{9} + 162 x^{14} d^{5} c^{5} b^{8} a + 540 x^{14} d^{6} c^{4} b^{7} a^{2} + 720 x^{14} d^{7} c^{3} b^{6} a^{3} + 405 x^{14} d^{8} c^{2} b^{5} a^{4} + 90 x^{14} d^{9} c b^{4} a^{5} + 6 x^{14} d^{10} b^{3} a^{6} + \frac{120}{13} x^{13} d^{3} c^{7} b^{9} + \frac{1890}{13} x^{13} d^{4} c^{6} b^{8} a + \frac{9072}{13} x^{13} d^{5} c^{5} b^{7} a^{2} + \frac{17640}{13} x^{13} d^{6} c^{4} b^{6} a^{3} + \frac{15120}{13} x^{13} d^{7} c^{3} b^{5} a^{4} + \frac{5670}{13} x^{13} d^{8} c^{2} b^{4} a^{5} + \frac{840}{13} x^{13} d^{9} c b^{3} a^{6} + \frac{36}{13} x^{13} d^{10} b^{2} a^{7} + \frac{15}{4} x^{12} d^{2} c^{8} b^{9} + 90 x^{12} d^{3} c^{7} b^{8} a + 630 x^{12} d^{4} c^{6} b^{7} a^{2} + 1764 x^{12} d^{5} c^{5} b^{6} a^{3} + 2205 x^{12} d^{6} c^{4} b^{5} a^{4} + 1260 x^{12} d^{7} c^{3} b^{4} a^{5} + 315 x^{12} d^{8} c^{2} b^{3} a^{6} + 30 x^{12} d^{9} c b^{2} a^{7} + \frac{3}{4} x^{12} d^{10} b a^{8} + \frac{10}{11} x^{11} d c^{9} b^{9} + \frac{405}{11} x^{11} d^{2} c^{8} b^{8} a + \frac{4320}{11} x^{11} d^{3} c^{7} b^{7} a^{2} + \frac{17640}{11} x^{11} d^{4} c^{6} b^{6} a^{3} + \frac{31752}{11} x^{11} d^{5} c^{5} b^{5} a^{4} + \frac{26460}{11} x^{11} d^{6} c^{4} b^{4} a^{5} + \frac{10080}{11} x^{11} d^{7} c^{3} b^{3} a^{6} + \frac{1620}{11} x^{11} d^{8} c^{2} b^{2} a^{7} + \frac{90}{11} x^{11} d^{9} c b a^{8} + \frac{1}{11} x^{11} d^{10} a^{9} + \frac{1}{10} x^{10} c^{10} b^{9} + 9 x^{10} d c^{9} b^{8} a + 162 x^{10} d^{2} c^{8} b^{7} a^{2} + 1008 x^{10} d^{3} c^{7} b^{6} a^{3} + 2646 x^{10} d^{4} c^{6} b^{5} a^{4} + \frac{15876}{5} x^{10} d^{5} c^{5} b^{4} a^{5} + 1764 x^{10} d^{6} c^{4} b^{3} a^{6} + 432 x^{10} d^{7} c^{3} b^{2} a^{7} + \frac{81}{2} x^{10} d^{8} c^{2} b a^{8} + x^{10} d^{9} c a^{9} + x^{9} c^{10} b^{8} a + 40 x^{9} d c^{9} b^{7} a^{2} + 420 x^{9} d^{2} c^{8} b^{6} a^{3} + 1680 x^{9} d^{3} c^{7} b^{5} a^{4} + 2940 x^{9} d^{4} c^{6} b^{4} a^{5} + 2352 x^{9} d^{5} c^{5} b^{3} a^{6} + 840 x^{9} d^{6} c^{4} b^{2} a^{7} + 120 x^{9} d^{7} c^{3} b a^{8} + 5 x^{9} d^{8} c^{2} a^{9} + \frac{9}{2} x^{8} c^{10} b^{7} a^{2} + 105 x^{8} d c^{9} b^{6} a^{3} + \frac{2835}{4} x^{8} d^{2} c^{8} b^{5} a^{4} + 1890 x^{8} d^{3} c^{7} b^{4} a^{5} + 2205 x^{8} d^{4} c^{6} b^{3} a^{6} + 1134 x^{8} d^{5} c^{5} b^{2} a^{7} + \frac{945}{4} x^{8} d^{6} c^{4} b a^{8} + 15 x^{8} d^{7} c^{3} a^{9} + 12 x^{7} c^{10} b^{6} a^{3} + 180 x^{7} d c^{9} b^{5} a^{4} + 810 x^{7} d^{2} c^{8} b^{4} a^{5} + 1440 x^{7} d^{3} c^{7} b^{3} a^{6} + 1080 x^{7} d^{4} c^{6} b^{2} a^{7} + 324 x^{7} d^{5} c^{5} b a^{8} + 30 x^{7} d^{6} c^{4} a^{9} + 21 x^{6} c^{10} b^{5} a^{4} + 210 x^{6} d c^{9} b^{4} a^{5} + 630 x^{6} d^{2} c^{8} b^{3} a^{6} + 720 x^{6} d^{3} c^{7} b^{2} a^{7} + 315 x^{6} d^{4} c^{6} b a^{8} + 42 x^{6} d^{5} c^{5} a^{9} + \frac{126}{5} x^{5} c^{10} b^{4} a^{5} + 168 x^{5} d c^{9} b^{3} a^{6} + 324 x^{5} d^{2} c^{8} b^{2} a^{7} + 216 x^{5} d^{3} c^{7} b a^{8} + 42 x^{5} d^{4} c^{6} a^{9} + 21 x^{4} c^{10} b^{3} a^{6} + 90 x^{4} d c^{9} b^{2} a^{7} + \frac{405}{4} x^{4} d^{2} c^{8} b a^{8} + 30 x^{4} d^{3} c^{7} a^{9} + 12 x^{3} c^{10} b^{2} a^{7} + 30 x^{3} d c^{9} b a^{8} + 15 x^{3} d^{2} c^{8} a^{9} + \frac{9}{2} x^{2} c^{10} b a^{8} + 5 x^{2} d c^{9} a^{9} + x c^{10} a^{9}"," ",0,"1/20*x^20*d^10*b^9 + 10/19*x^19*d^9*c*b^9 + 9/19*x^19*d^10*b^8*a + 5/2*x^18*d^8*c^2*b^9 + 5*x^18*d^9*c*b^8*a + 2*x^18*d^10*b^7*a^2 + 120/17*x^17*d^7*c^3*b^9 + 405/17*x^17*d^8*c^2*b^8*a + 360/17*x^17*d^9*c*b^7*a^2 + 84/17*x^17*d^10*b^6*a^3 + 105/8*x^16*d^6*c^4*b^9 + 135/2*x^16*d^7*c^3*b^8*a + 405/4*x^16*d^8*c^2*b^7*a^2 + 105/2*x^16*d^9*c*b^6*a^3 + 63/8*x^16*d^10*b^5*a^4 + 84/5*x^15*d^5*c^5*b^9 + 126*x^15*d^6*c^4*b^8*a + 288*x^15*d^7*c^3*b^7*a^2 + 252*x^15*d^8*c^2*b^6*a^3 + 84*x^15*d^9*c*b^5*a^4 + 42/5*x^15*d^10*b^4*a^5 + 15*x^14*d^4*c^6*b^9 + 162*x^14*d^5*c^5*b^8*a + 540*x^14*d^6*c^4*b^7*a^2 + 720*x^14*d^7*c^3*b^6*a^3 + 405*x^14*d^8*c^2*b^5*a^4 + 90*x^14*d^9*c*b^4*a^5 + 6*x^14*d^10*b^3*a^6 + 120/13*x^13*d^3*c^7*b^9 + 1890/13*x^13*d^4*c^6*b^8*a + 9072/13*x^13*d^5*c^5*b^7*a^2 + 17640/13*x^13*d^6*c^4*b^6*a^3 + 15120/13*x^13*d^7*c^3*b^5*a^4 + 5670/13*x^13*d^8*c^2*b^4*a^5 + 840/13*x^13*d^9*c*b^3*a^6 + 36/13*x^13*d^10*b^2*a^7 + 15/4*x^12*d^2*c^8*b^9 + 90*x^12*d^3*c^7*b^8*a + 630*x^12*d^4*c^6*b^7*a^2 + 1764*x^12*d^5*c^5*b^6*a^3 + 2205*x^12*d^6*c^4*b^5*a^4 + 1260*x^12*d^7*c^3*b^4*a^5 + 315*x^12*d^8*c^2*b^3*a^6 + 30*x^12*d^9*c*b^2*a^7 + 3/4*x^12*d^10*b*a^8 + 10/11*x^11*d*c^9*b^9 + 405/11*x^11*d^2*c^8*b^8*a + 4320/11*x^11*d^3*c^7*b^7*a^2 + 17640/11*x^11*d^4*c^6*b^6*a^3 + 31752/11*x^11*d^5*c^5*b^5*a^4 + 26460/11*x^11*d^6*c^4*b^4*a^5 + 10080/11*x^11*d^7*c^3*b^3*a^6 + 1620/11*x^11*d^8*c^2*b^2*a^7 + 90/11*x^11*d^9*c*b*a^8 + 1/11*x^11*d^10*a^9 + 1/10*x^10*c^10*b^9 + 9*x^10*d*c^9*b^8*a + 162*x^10*d^2*c^8*b^7*a^2 + 1008*x^10*d^3*c^7*b^6*a^3 + 2646*x^10*d^4*c^6*b^5*a^4 + 15876/5*x^10*d^5*c^5*b^4*a^5 + 1764*x^10*d^6*c^4*b^3*a^6 + 432*x^10*d^7*c^3*b^2*a^7 + 81/2*x^10*d^8*c^2*b*a^8 + x^10*d^9*c*a^9 + x^9*c^10*b^8*a + 40*x^9*d*c^9*b^7*a^2 + 420*x^9*d^2*c^8*b^6*a^3 + 1680*x^9*d^3*c^7*b^5*a^4 + 2940*x^9*d^4*c^6*b^4*a^5 + 2352*x^9*d^5*c^5*b^3*a^6 + 840*x^9*d^6*c^4*b^2*a^7 + 120*x^9*d^7*c^3*b*a^8 + 5*x^9*d^8*c^2*a^9 + 9/2*x^8*c^10*b^7*a^2 + 105*x^8*d*c^9*b^6*a^3 + 2835/4*x^8*d^2*c^8*b^5*a^4 + 1890*x^8*d^3*c^7*b^4*a^5 + 2205*x^8*d^4*c^6*b^3*a^6 + 1134*x^8*d^5*c^5*b^2*a^7 + 945/4*x^8*d^6*c^4*b*a^8 + 15*x^8*d^7*c^3*a^9 + 12*x^7*c^10*b^6*a^3 + 180*x^7*d*c^9*b^5*a^4 + 810*x^7*d^2*c^8*b^4*a^5 + 1440*x^7*d^3*c^7*b^3*a^6 + 1080*x^7*d^4*c^6*b^2*a^7 + 324*x^7*d^5*c^5*b*a^8 + 30*x^7*d^6*c^4*a^9 + 21*x^6*c^10*b^5*a^4 + 210*x^6*d*c^9*b^4*a^5 + 630*x^6*d^2*c^8*b^3*a^6 + 720*x^6*d^3*c^7*b^2*a^7 + 315*x^6*d^4*c^6*b*a^8 + 42*x^6*d^5*c^5*a^9 + 126/5*x^5*c^10*b^4*a^5 + 168*x^5*d*c^9*b^3*a^6 + 324*x^5*d^2*c^8*b^2*a^7 + 216*x^5*d^3*c^7*b*a^8 + 42*x^5*d^4*c^6*a^9 + 21*x^4*c^10*b^3*a^6 + 90*x^4*d*c^9*b^2*a^7 + 405/4*x^4*d^2*c^8*b*a^8 + 30*x^4*d^3*c^7*a^9 + 12*x^3*c^10*b^2*a^7 + 30*x^3*d*c^9*b*a^8 + 15*x^3*d^2*c^8*a^9 + 9/2*x^2*c^10*b*a^8 + 5*x^2*d*c^9*a^9 + x*c^10*a^9","B",0
1303,1,1478,0,1.171151," ","integrate((b*x+a)^8*(d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{19} x^{19} d^{10} b^{8} + \frac{5}{9} x^{18} d^{9} c b^{8} + \frac{4}{9} x^{18} d^{10} b^{7} a + \frac{45}{17} x^{17} d^{8} c^{2} b^{8} + \frac{80}{17} x^{17} d^{9} c b^{7} a + \frac{28}{17} x^{17} d^{10} b^{6} a^{2} + \frac{15}{2} x^{16} d^{7} c^{3} b^{8} + \frac{45}{2} x^{16} d^{8} c^{2} b^{7} a + \frac{35}{2} x^{16} d^{9} c b^{6} a^{2} + \frac{7}{2} x^{16} d^{10} b^{5} a^{3} + 14 x^{15} d^{6} c^{4} b^{8} + 64 x^{15} d^{7} c^{3} b^{7} a + 84 x^{15} d^{8} c^{2} b^{6} a^{2} + \frac{112}{3} x^{15} d^{9} c b^{5} a^{3} + \frac{14}{3} x^{15} d^{10} b^{4} a^{4} + 18 x^{14} d^{5} c^{5} b^{8} + 120 x^{14} d^{6} c^{4} b^{7} a + 240 x^{14} d^{7} c^{3} b^{6} a^{2} + 180 x^{14} d^{8} c^{2} b^{5} a^{3} + 50 x^{14} d^{9} c b^{4} a^{4} + 4 x^{14} d^{10} b^{3} a^{5} + \frac{210}{13} x^{13} d^{4} c^{6} b^{8} + \frac{2016}{13} x^{13} d^{5} c^{5} b^{7} a + \frac{5880}{13} x^{13} d^{6} c^{4} b^{6} a^{2} + \frac{6720}{13} x^{13} d^{7} c^{3} b^{5} a^{3} + \frac{3150}{13} x^{13} d^{8} c^{2} b^{4} a^{4} + \frac{560}{13} x^{13} d^{9} c b^{3} a^{5} + \frac{28}{13} x^{13} d^{10} b^{2} a^{6} + 10 x^{12} d^{3} c^{7} b^{8} + 140 x^{12} d^{4} c^{6} b^{7} a + 588 x^{12} d^{5} c^{5} b^{6} a^{2} + 980 x^{12} d^{6} c^{4} b^{5} a^{3} + 700 x^{12} d^{7} c^{3} b^{4} a^{4} + 210 x^{12} d^{8} c^{2} b^{3} a^{5} + \frac{70}{3} x^{12} d^{9} c b^{2} a^{6} + \frac{2}{3} x^{12} d^{10} b a^{7} + \frac{45}{11} x^{11} d^{2} c^{8} b^{8} + \frac{960}{11} x^{11} d^{3} c^{7} b^{7} a + \frac{5880}{11} x^{11} d^{4} c^{6} b^{6} a^{2} + \frac{14112}{11} x^{11} d^{5} c^{5} b^{5} a^{3} + \frac{14700}{11} x^{11} d^{6} c^{4} b^{4} a^{4} + \frac{6720}{11} x^{11} d^{7} c^{3} b^{3} a^{5} + \frac{1260}{11} x^{11} d^{8} c^{2} b^{2} a^{6} + \frac{80}{11} x^{11} d^{9} c b a^{7} + \frac{1}{11} x^{11} d^{10} a^{8} + x^{10} d c^{9} b^{8} + 36 x^{10} d^{2} c^{8} b^{7} a + 336 x^{10} d^{3} c^{7} b^{6} a^{2} + 1176 x^{10} d^{4} c^{6} b^{5} a^{3} + 1764 x^{10} d^{5} c^{5} b^{4} a^{4} + 1176 x^{10} d^{6} c^{4} b^{3} a^{5} + 336 x^{10} d^{7} c^{3} b^{2} a^{6} + 36 x^{10} d^{8} c^{2} b a^{7} + x^{10} d^{9} c a^{8} + \frac{1}{9} x^{9} c^{10} b^{8} + \frac{80}{9} x^{9} d c^{9} b^{7} a + 140 x^{9} d^{2} c^{8} b^{6} a^{2} + \frac{2240}{3} x^{9} d^{3} c^{7} b^{5} a^{3} + \frac{4900}{3} x^{9} d^{4} c^{6} b^{4} a^{4} + 1568 x^{9} d^{5} c^{5} b^{3} a^{5} + \frac{1960}{3} x^{9} d^{6} c^{4} b^{2} a^{6} + \frac{320}{3} x^{9} d^{7} c^{3} b a^{7} + 5 x^{9} d^{8} c^{2} a^{8} + x^{8} c^{10} b^{7} a + 35 x^{8} d c^{9} b^{6} a^{2} + 315 x^{8} d^{2} c^{8} b^{5} a^{3} + 1050 x^{8} d^{3} c^{7} b^{4} a^{4} + 1470 x^{8} d^{4} c^{6} b^{3} a^{5} + 882 x^{8} d^{5} c^{5} b^{2} a^{6} + 210 x^{8} d^{6} c^{4} b a^{7} + 15 x^{8} d^{7} c^{3} a^{8} + 4 x^{7} c^{10} b^{6} a^{2} + 80 x^{7} d c^{9} b^{5} a^{3} + 450 x^{7} d^{2} c^{8} b^{4} a^{4} + 960 x^{7} d^{3} c^{7} b^{3} a^{5} + 840 x^{7} d^{4} c^{6} b^{2} a^{6} + 288 x^{7} d^{5} c^{5} b a^{7} + 30 x^{7} d^{6} c^{4} a^{8} + \frac{28}{3} x^{6} c^{10} b^{5} a^{3} + \frac{350}{3} x^{6} d c^{9} b^{4} a^{4} + 420 x^{6} d^{2} c^{8} b^{3} a^{5} + 560 x^{6} d^{3} c^{7} b^{2} a^{6} + 280 x^{6} d^{4} c^{6} b a^{7} + 42 x^{6} d^{5} c^{5} a^{8} + 14 x^{5} c^{10} b^{4} a^{4} + 112 x^{5} d c^{9} b^{3} a^{5} + 252 x^{5} d^{2} c^{8} b^{2} a^{6} + 192 x^{5} d^{3} c^{7} b a^{7} + 42 x^{5} d^{4} c^{6} a^{8} + 14 x^{4} c^{10} b^{3} a^{5} + 70 x^{4} d c^{9} b^{2} a^{6} + 90 x^{4} d^{2} c^{8} b a^{7} + 30 x^{4} d^{3} c^{7} a^{8} + \frac{28}{3} x^{3} c^{10} b^{2} a^{6} + \frac{80}{3} x^{3} d c^{9} b a^{7} + 15 x^{3} d^{2} c^{8} a^{8} + 4 x^{2} c^{10} b a^{7} + 5 x^{2} d c^{9} a^{8} + x c^{10} a^{8}"," ",0,"1/19*x^19*d^10*b^8 + 5/9*x^18*d^9*c*b^8 + 4/9*x^18*d^10*b^7*a + 45/17*x^17*d^8*c^2*b^8 + 80/17*x^17*d^9*c*b^7*a + 28/17*x^17*d^10*b^6*a^2 + 15/2*x^16*d^7*c^3*b^8 + 45/2*x^16*d^8*c^2*b^7*a + 35/2*x^16*d^9*c*b^6*a^2 + 7/2*x^16*d^10*b^5*a^3 + 14*x^15*d^6*c^4*b^8 + 64*x^15*d^7*c^3*b^7*a + 84*x^15*d^8*c^2*b^6*a^2 + 112/3*x^15*d^9*c*b^5*a^3 + 14/3*x^15*d^10*b^4*a^4 + 18*x^14*d^5*c^5*b^8 + 120*x^14*d^6*c^4*b^7*a + 240*x^14*d^7*c^3*b^6*a^2 + 180*x^14*d^8*c^2*b^5*a^3 + 50*x^14*d^9*c*b^4*a^4 + 4*x^14*d^10*b^3*a^5 + 210/13*x^13*d^4*c^6*b^8 + 2016/13*x^13*d^5*c^5*b^7*a + 5880/13*x^13*d^6*c^4*b^6*a^2 + 6720/13*x^13*d^7*c^3*b^5*a^3 + 3150/13*x^13*d^8*c^2*b^4*a^4 + 560/13*x^13*d^9*c*b^3*a^5 + 28/13*x^13*d^10*b^2*a^6 + 10*x^12*d^3*c^7*b^8 + 140*x^12*d^4*c^6*b^7*a + 588*x^12*d^5*c^5*b^6*a^2 + 980*x^12*d^6*c^4*b^5*a^3 + 700*x^12*d^7*c^3*b^4*a^4 + 210*x^12*d^8*c^2*b^3*a^5 + 70/3*x^12*d^9*c*b^2*a^6 + 2/3*x^12*d^10*b*a^7 + 45/11*x^11*d^2*c^8*b^8 + 960/11*x^11*d^3*c^7*b^7*a + 5880/11*x^11*d^4*c^6*b^6*a^2 + 14112/11*x^11*d^5*c^5*b^5*a^3 + 14700/11*x^11*d^6*c^4*b^4*a^4 + 6720/11*x^11*d^7*c^3*b^3*a^5 + 1260/11*x^11*d^8*c^2*b^2*a^6 + 80/11*x^11*d^9*c*b*a^7 + 1/11*x^11*d^10*a^8 + x^10*d*c^9*b^8 + 36*x^10*d^2*c^8*b^7*a + 336*x^10*d^3*c^7*b^6*a^2 + 1176*x^10*d^4*c^6*b^5*a^3 + 1764*x^10*d^5*c^5*b^4*a^4 + 1176*x^10*d^6*c^4*b^3*a^5 + 336*x^10*d^7*c^3*b^2*a^6 + 36*x^10*d^8*c^2*b*a^7 + x^10*d^9*c*a^8 + 1/9*x^9*c^10*b^8 + 80/9*x^9*d*c^9*b^7*a + 140*x^9*d^2*c^8*b^6*a^2 + 2240/3*x^9*d^3*c^7*b^5*a^3 + 4900/3*x^9*d^4*c^6*b^4*a^4 + 1568*x^9*d^5*c^5*b^3*a^5 + 1960/3*x^9*d^6*c^4*b^2*a^6 + 320/3*x^9*d^7*c^3*b*a^7 + 5*x^9*d^8*c^2*a^8 + x^8*c^10*b^7*a + 35*x^8*d*c^9*b^6*a^2 + 315*x^8*d^2*c^8*b^5*a^3 + 1050*x^8*d^3*c^7*b^4*a^4 + 1470*x^8*d^4*c^6*b^3*a^5 + 882*x^8*d^5*c^5*b^2*a^6 + 210*x^8*d^6*c^4*b*a^7 + 15*x^8*d^7*c^3*a^8 + 4*x^7*c^10*b^6*a^2 + 80*x^7*d*c^9*b^5*a^3 + 450*x^7*d^2*c^8*b^4*a^4 + 960*x^7*d^3*c^7*b^3*a^5 + 840*x^7*d^4*c^6*b^2*a^6 + 288*x^7*d^5*c^5*b*a^7 + 30*x^7*d^6*c^4*a^8 + 28/3*x^6*c^10*b^5*a^3 + 350/3*x^6*d*c^9*b^4*a^4 + 420*x^6*d^2*c^8*b^3*a^5 + 560*x^6*d^3*c^7*b^2*a^6 + 280*x^6*d^4*c^6*b*a^7 + 42*x^6*d^5*c^5*a^8 + 14*x^5*c^10*b^4*a^4 + 112*x^5*d*c^9*b^3*a^5 + 252*x^5*d^2*c^8*b^2*a^6 + 192*x^5*d^3*c^7*b*a^7 + 42*x^5*d^4*c^6*a^8 + 14*x^4*c^10*b^3*a^5 + 70*x^4*d*c^9*b^2*a^6 + 90*x^4*d^2*c^8*b*a^7 + 30*x^4*d^3*c^7*a^8 + 28/3*x^3*c^10*b^2*a^6 + 80/3*x^3*d*c^9*b*a^7 + 15*x^3*d^2*c^8*a^8 + 4*x^2*c^10*b*a^7 + 5*x^2*d*c^9*a^8 + x*c^10*a^8","B",0
1304,1,1302,0,1.082282," ","integrate((b*x+a)^7*(d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{18} x^{18} d^{10} b^{7} + \frac{10}{17} x^{17} d^{9} c b^{7} + \frac{7}{17} x^{17} d^{10} b^{6} a + \frac{45}{16} x^{16} d^{8} c^{2} b^{7} + \frac{35}{8} x^{16} d^{9} c b^{6} a + \frac{21}{16} x^{16} d^{10} b^{5} a^{2} + 8 x^{15} d^{7} c^{3} b^{7} + 21 x^{15} d^{8} c^{2} b^{6} a + 14 x^{15} d^{9} c b^{5} a^{2} + \frac{7}{3} x^{15} d^{10} b^{4} a^{3} + 15 x^{14} d^{6} c^{4} b^{7} + 60 x^{14} d^{7} c^{3} b^{6} a + \frac{135}{2} x^{14} d^{8} c^{2} b^{5} a^{2} + 25 x^{14} d^{9} c b^{4} a^{3} + \frac{5}{2} x^{14} d^{10} b^{3} a^{4} + \frac{252}{13} x^{13} d^{5} c^{5} b^{7} + \frac{1470}{13} x^{13} d^{6} c^{4} b^{6} a + \frac{2520}{13} x^{13} d^{7} c^{3} b^{5} a^{2} + \frac{1575}{13} x^{13} d^{8} c^{2} b^{4} a^{3} + \frac{350}{13} x^{13} d^{9} c b^{3} a^{4} + \frac{21}{13} x^{13} d^{10} b^{2} a^{5} + \frac{35}{2} x^{12} d^{4} c^{6} b^{7} + 147 x^{12} d^{5} c^{5} b^{6} a + \frac{735}{2} x^{12} d^{6} c^{4} b^{5} a^{2} + 350 x^{12} d^{7} c^{3} b^{4} a^{3} + \frac{525}{4} x^{12} d^{8} c^{2} b^{3} a^{4} + \frac{35}{2} x^{12} d^{9} c b^{2} a^{5} + \frac{7}{12} x^{12} d^{10} b a^{6} + \frac{120}{11} x^{11} d^{3} c^{7} b^{7} + \frac{1470}{11} x^{11} d^{4} c^{6} b^{6} a + \frac{5292}{11} x^{11} d^{5} c^{5} b^{5} a^{2} + \frac{7350}{11} x^{11} d^{6} c^{4} b^{4} a^{3} + \frac{4200}{11} x^{11} d^{7} c^{3} b^{3} a^{4} + \frac{945}{11} x^{11} d^{8} c^{2} b^{2} a^{5} + \frac{70}{11} x^{11} d^{9} c b a^{6} + \frac{1}{11} x^{11} d^{10} a^{7} + \frac{9}{2} x^{10} d^{2} c^{8} b^{7} + 84 x^{10} d^{3} c^{7} b^{6} a + 441 x^{10} d^{4} c^{6} b^{5} a^{2} + 882 x^{10} d^{5} c^{5} b^{4} a^{3} + 735 x^{10} d^{6} c^{4} b^{3} a^{4} + 252 x^{10} d^{7} c^{3} b^{2} a^{5} + \frac{63}{2} x^{10} d^{8} c^{2} b a^{6} + x^{10} d^{9} c a^{7} + \frac{10}{9} x^{9} d c^{9} b^{7} + 35 x^{9} d^{2} c^{8} b^{6} a + 280 x^{9} d^{3} c^{7} b^{5} a^{2} + \frac{2450}{3} x^{9} d^{4} c^{6} b^{4} a^{3} + 980 x^{9} d^{5} c^{5} b^{3} a^{4} + 490 x^{9} d^{6} c^{4} b^{2} a^{5} + \frac{280}{3} x^{9} d^{7} c^{3} b a^{6} + 5 x^{9} d^{8} c^{2} a^{7} + \frac{1}{8} x^{8} c^{10} b^{7} + \frac{35}{4} x^{8} d c^{9} b^{6} a + \frac{945}{8} x^{8} d^{2} c^{8} b^{5} a^{2} + 525 x^{8} d^{3} c^{7} b^{4} a^{3} + \frac{3675}{4} x^{8} d^{4} c^{6} b^{3} a^{4} + \frac{1323}{2} x^{8} d^{5} c^{5} b^{2} a^{5} + \frac{735}{4} x^{8} d^{6} c^{4} b a^{6} + 15 x^{8} d^{7} c^{3} a^{7} + x^{7} c^{10} b^{6} a + 30 x^{7} d c^{9} b^{5} a^{2} + 225 x^{7} d^{2} c^{8} b^{4} a^{3} + 600 x^{7} d^{3} c^{7} b^{3} a^{4} + 630 x^{7} d^{4} c^{6} b^{2} a^{5} + 252 x^{7} d^{5} c^{5} b a^{6} + 30 x^{7} d^{6} c^{4} a^{7} + \frac{7}{2} x^{6} c^{10} b^{5} a^{2} + \frac{175}{3} x^{6} d c^{9} b^{4} a^{3} + \frac{525}{2} x^{6} d^{2} c^{8} b^{3} a^{4} + 420 x^{6} d^{3} c^{7} b^{2} a^{5} + 245 x^{6} d^{4} c^{6} b a^{6} + 42 x^{6} d^{5} c^{5} a^{7} + 7 x^{5} c^{10} b^{4} a^{3} + 70 x^{5} d c^{9} b^{3} a^{4} + 189 x^{5} d^{2} c^{8} b^{2} a^{5} + 168 x^{5} d^{3} c^{7} b a^{6} + 42 x^{5} d^{4} c^{6} a^{7} + \frac{35}{4} x^{4} c^{10} b^{3} a^{4} + \frac{105}{2} x^{4} d c^{9} b^{2} a^{5} + \frac{315}{4} x^{4} d^{2} c^{8} b a^{6} + 30 x^{4} d^{3} c^{7} a^{7} + 7 x^{3} c^{10} b^{2} a^{5} + \frac{70}{3} x^{3} d c^{9} b a^{6} + 15 x^{3} d^{2} c^{8} a^{7} + \frac{7}{2} x^{2} c^{10} b a^{6} + 5 x^{2} d c^{9} a^{7} + x c^{10} a^{7}"," ",0,"1/18*x^18*d^10*b^7 + 10/17*x^17*d^9*c*b^7 + 7/17*x^17*d^10*b^6*a + 45/16*x^16*d^8*c^2*b^7 + 35/8*x^16*d^9*c*b^6*a + 21/16*x^16*d^10*b^5*a^2 + 8*x^15*d^7*c^3*b^7 + 21*x^15*d^8*c^2*b^6*a + 14*x^15*d^9*c*b^5*a^2 + 7/3*x^15*d^10*b^4*a^3 + 15*x^14*d^6*c^4*b^7 + 60*x^14*d^7*c^3*b^6*a + 135/2*x^14*d^8*c^2*b^5*a^2 + 25*x^14*d^9*c*b^4*a^3 + 5/2*x^14*d^10*b^3*a^4 + 252/13*x^13*d^5*c^5*b^7 + 1470/13*x^13*d^6*c^4*b^6*a + 2520/13*x^13*d^7*c^3*b^5*a^2 + 1575/13*x^13*d^8*c^2*b^4*a^3 + 350/13*x^13*d^9*c*b^3*a^4 + 21/13*x^13*d^10*b^2*a^5 + 35/2*x^12*d^4*c^6*b^7 + 147*x^12*d^5*c^5*b^6*a + 735/2*x^12*d^6*c^4*b^5*a^2 + 350*x^12*d^7*c^3*b^4*a^3 + 525/4*x^12*d^8*c^2*b^3*a^4 + 35/2*x^12*d^9*c*b^2*a^5 + 7/12*x^12*d^10*b*a^6 + 120/11*x^11*d^3*c^7*b^7 + 1470/11*x^11*d^4*c^6*b^6*a + 5292/11*x^11*d^5*c^5*b^5*a^2 + 7350/11*x^11*d^6*c^4*b^4*a^3 + 4200/11*x^11*d^7*c^3*b^3*a^4 + 945/11*x^11*d^8*c^2*b^2*a^5 + 70/11*x^11*d^9*c*b*a^6 + 1/11*x^11*d^10*a^7 + 9/2*x^10*d^2*c^8*b^7 + 84*x^10*d^3*c^7*b^6*a + 441*x^10*d^4*c^6*b^5*a^2 + 882*x^10*d^5*c^5*b^4*a^3 + 735*x^10*d^6*c^4*b^3*a^4 + 252*x^10*d^7*c^3*b^2*a^5 + 63/2*x^10*d^8*c^2*b*a^6 + x^10*d^9*c*a^7 + 10/9*x^9*d*c^9*b^7 + 35*x^9*d^2*c^8*b^6*a + 280*x^9*d^3*c^7*b^5*a^2 + 2450/3*x^9*d^4*c^6*b^4*a^3 + 980*x^9*d^5*c^5*b^3*a^4 + 490*x^9*d^6*c^4*b^2*a^5 + 280/3*x^9*d^7*c^3*b*a^6 + 5*x^9*d^8*c^2*a^7 + 1/8*x^8*c^10*b^7 + 35/4*x^8*d*c^9*b^6*a + 945/8*x^8*d^2*c^8*b^5*a^2 + 525*x^8*d^3*c^7*b^4*a^3 + 3675/4*x^8*d^4*c^6*b^3*a^4 + 1323/2*x^8*d^5*c^5*b^2*a^5 + 735/4*x^8*d^6*c^4*b*a^6 + 15*x^8*d^7*c^3*a^7 + x^7*c^10*b^6*a + 30*x^7*d*c^9*b^5*a^2 + 225*x^7*d^2*c^8*b^4*a^3 + 600*x^7*d^3*c^7*b^3*a^4 + 630*x^7*d^4*c^6*b^2*a^5 + 252*x^7*d^5*c^5*b*a^6 + 30*x^7*d^6*c^4*a^7 + 7/2*x^6*c^10*b^5*a^2 + 175/3*x^6*d*c^9*b^4*a^3 + 525/2*x^6*d^2*c^8*b^3*a^4 + 420*x^6*d^3*c^7*b^2*a^5 + 245*x^6*d^4*c^6*b*a^6 + 42*x^6*d^5*c^5*a^7 + 7*x^5*c^10*b^4*a^3 + 70*x^5*d*c^9*b^3*a^4 + 189*x^5*d^2*c^8*b^2*a^5 + 168*x^5*d^3*c^7*b*a^6 + 42*x^5*d^4*c^6*a^7 + 35/4*x^4*c^10*b^3*a^4 + 105/2*x^4*d*c^9*b^2*a^5 + 315/4*x^4*d^2*c^8*b*a^6 + 30*x^4*d^3*c^7*a^7 + 7*x^3*c^10*b^2*a^5 + 70/3*x^3*d*c^9*b*a^6 + 15*x^3*d^2*c^8*a^7 + 7/2*x^2*c^10*b*a^6 + 5*x^2*d*c^9*a^7 + x*c^10*a^7","B",0
1305,1,1124,0,1.064825," ","integrate((b*x+a)^6*(d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{17} x^{17} d^{10} b^{6} + \frac{5}{8} x^{16} d^{9} c b^{6} + \frac{3}{8} x^{16} d^{10} b^{5} a + 3 x^{15} d^{8} c^{2} b^{6} + 4 x^{15} d^{9} c b^{5} a + x^{15} d^{10} b^{4} a^{2} + \frac{60}{7} x^{14} d^{7} c^{3} b^{6} + \frac{135}{7} x^{14} d^{8} c^{2} b^{5} a + \frac{75}{7} x^{14} d^{9} c b^{4} a^{2} + \frac{10}{7} x^{14} d^{10} b^{3} a^{3} + \frac{210}{13} x^{13} d^{6} c^{4} b^{6} + \frac{720}{13} x^{13} d^{7} c^{3} b^{5} a + \frac{675}{13} x^{13} d^{8} c^{2} b^{4} a^{2} + \frac{200}{13} x^{13} d^{9} c b^{3} a^{3} + \frac{15}{13} x^{13} d^{10} b^{2} a^{4} + 21 x^{12} d^{5} c^{5} b^{6} + 105 x^{12} d^{6} c^{4} b^{5} a + 150 x^{12} d^{7} c^{3} b^{4} a^{2} + 75 x^{12} d^{8} c^{2} b^{3} a^{3} + \frac{25}{2} x^{12} d^{9} c b^{2} a^{4} + \frac{1}{2} x^{12} d^{10} b a^{5} + \frac{210}{11} x^{11} d^{4} c^{6} b^{6} + \frac{1512}{11} x^{11} d^{5} c^{5} b^{5} a + \frac{3150}{11} x^{11} d^{6} c^{4} b^{4} a^{2} + \frac{2400}{11} x^{11} d^{7} c^{3} b^{3} a^{3} + \frac{675}{11} x^{11} d^{8} c^{2} b^{2} a^{4} + \frac{60}{11} x^{11} d^{9} c b a^{5} + \frac{1}{11} x^{11} d^{10} a^{6} + 12 x^{10} d^{3} c^{7} b^{6} + 126 x^{10} d^{4} c^{6} b^{5} a + 378 x^{10} d^{5} c^{5} b^{4} a^{2} + 420 x^{10} d^{6} c^{4} b^{3} a^{3} + 180 x^{10} d^{7} c^{3} b^{2} a^{4} + 27 x^{10} d^{8} c^{2} b a^{5} + x^{10} d^{9} c a^{6} + 5 x^{9} d^{2} c^{8} b^{6} + 80 x^{9} d^{3} c^{7} b^{5} a + 350 x^{9} d^{4} c^{6} b^{4} a^{2} + 560 x^{9} d^{5} c^{5} b^{3} a^{3} + 350 x^{9} d^{6} c^{4} b^{2} a^{4} + 80 x^{9} d^{7} c^{3} b a^{5} + 5 x^{9} d^{8} c^{2} a^{6} + \frac{5}{4} x^{8} d c^{9} b^{6} + \frac{135}{4} x^{8} d^{2} c^{8} b^{5} a + 225 x^{8} d^{3} c^{7} b^{4} a^{2} + 525 x^{8} d^{4} c^{6} b^{3} a^{3} + \frac{945}{2} x^{8} d^{5} c^{5} b^{2} a^{4} + \frac{315}{2} x^{8} d^{6} c^{4} b a^{5} + 15 x^{8} d^{7} c^{3} a^{6} + \frac{1}{7} x^{7} c^{10} b^{6} + \frac{60}{7} x^{7} d c^{9} b^{5} a + \frac{675}{7} x^{7} d^{2} c^{8} b^{4} a^{2} + \frac{2400}{7} x^{7} d^{3} c^{7} b^{3} a^{3} + 450 x^{7} d^{4} c^{6} b^{2} a^{4} + 216 x^{7} d^{5} c^{5} b a^{5} + 30 x^{7} d^{6} c^{4} a^{6} + x^{6} c^{10} b^{5} a + 25 x^{6} d c^{9} b^{4} a^{2} + 150 x^{6} d^{2} c^{8} b^{3} a^{3} + 300 x^{6} d^{3} c^{7} b^{2} a^{4} + 210 x^{6} d^{4} c^{6} b a^{5} + 42 x^{6} d^{5} c^{5} a^{6} + 3 x^{5} c^{10} b^{4} a^{2} + 40 x^{5} d c^{9} b^{3} a^{3} + 135 x^{5} d^{2} c^{8} b^{2} a^{4} + 144 x^{5} d^{3} c^{7} b a^{5} + 42 x^{5} d^{4} c^{6} a^{6} + 5 x^{4} c^{10} b^{3} a^{3} + \frac{75}{2} x^{4} d c^{9} b^{2} a^{4} + \frac{135}{2} x^{4} d^{2} c^{8} b a^{5} + 30 x^{4} d^{3} c^{7} a^{6} + 5 x^{3} c^{10} b^{2} a^{4} + 20 x^{3} d c^{9} b a^{5} + 15 x^{3} d^{2} c^{8} a^{6} + 3 x^{2} c^{10} b a^{5} + 5 x^{2} d c^{9} a^{6} + x c^{10} a^{6}"," ",0,"1/17*x^17*d^10*b^6 + 5/8*x^16*d^9*c*b^6 + 3/8*x^16*d^10*b^5*a + 3*x^15*d^8*c^2*b^6 + 4*x^15*d^9*c*b^5*a + x^15*d^10*b^4*a^2 + 60/7*x^14*d^7*c^3*b^6 + 135/7*x^14*d^8*c^2*b^5*a + 75/7*x^14*d^9*c*b^4*a^2 + 10/7*x^14*d^10*b^3*a^3 + 210/13*x^13*d^6*c^4*b^6 + 720/13*x^13*d^7*c^3*b^5*a + 675/13*x^13*d^8*c^2*b^4*a^2 + 200/13*x^13*d^9*c*b^3*a^3 + 15/13*x^13*d^10*b^2*a^4 + 21*x^12*d^5*c^5*b^6 + 105*x^12*d^6*c^4*b^5*a + 150*x^12*d^7*c^3*b^4*a^2 + 75*x^12*d^8*c^2*b^3*a^3 + 25/2*x^12*d^9*c*b^2*a^4 + 1/2*x^12*d^10*b*a^5 + 210/11*x^11*d^4*c^6*b^6 + 1512/11*x^11*d^5*c^5*b^5*a + 3150/11*x^11*d^6*c^4*b^4*a^2 + 2400/11*x^11*d^7*c^3*b^3*a^3 + 675/11*x^11*d^8*c^2*b^2*a^4 + 60/11*x^11*d^9*c*b*a^5 + 1/11*x^11*d^10*a^6 + 12*x^10*d^3*c^7*b^6 + 126*x^10*d^4*c^6*b^5*a + 378*x^10*d^5*c^5*b^4*a^2 + 420*x^10*d^6*c^4*b^3*a^3 + 180*x^10*d^7*c^3*b^2*a^4 + 27*x^10*d^8*c^2*b*a^5 + x^10*d^9*c*a^6 + 5*x^9*d^2*c^8*b^6 + 80*x^9*d^3*c^7*b^5*a + 350*x^9*d^4*c^6*b^4*a^2 + 560*x^9*d^5*c^5*b^3*a^3 + 350*x^9*d^6*c^4*b^2*a^4 + 80*x^9*d^7*c^3*b*a^5 + 5*x^9*d^8*c^2*a^6 + 5/4*x^8*d*c^9*b^6 + 135/4*x^8*d^2*c^8*b^5*a + 225*x^8*d^3*c^7*b^4*a^2 + 525*x^8*d^4*c^6*b^3*a^3 + 945/2*x^8*d^5*c^5*b^2*a^4 + 315/2*x^8*d^6*c^4*b*a^5 + 15*x^8*d^7*c^3*a^6 + 1/7*x^7*c^10*b^6 + 60/7*x^7*d*c^9*b^5*a + 675/7*x^7*d^2*c^8*b^4*a^2 + 2400/7*x^7*d^3*c^7*b^3*a^3 + 450*x^7*d^4*c^6*b^2*a^4 + 216*x^7*d^5*c^5*b*a^5 + 30*x^7*d^6*c^4*a^6 + x^6*c^10*b^5*a + 25*x^6*d*c^9*b^4*a^2 + 150*x^6*d^2*c^8*b^3*a^3 + 300*x^6*d^3*c^7*b^2*a^4 + 210*x^6*d^4*c^6*b*a^5 + 42*x^6*d^5*c^5*a^6 + 3*x^5*c^10*b^4*a^2 + 40*x^5*d*c^9*b^3*a^3 + 135*x^5*d^2*c^8*b^2*a^4 + 144*x^5*d^3*c^7*b*a^5 + 42*x^5*d^4*c^6*a^6 + 5*x^4*c^10*b^3*a^3 + 75/2*x^4*d*c^9*b^2*a^4 + 135/2*x^4*d^2*c^8*b*a^5 + 30*x^4*d^3*c^7*a^6 + 5*x^3*c^10*b^2*a^4 + 20*x^3*d*c^9*b*a^5 + 15*x^3*d^2*c^8*a^6 + 3*x^2*c^10*b*a^5 + 5*x^2*d*c^9*a^6 + x*c^10*a^6","B",0
1306,1,948,0,0.776474," ","integrate((b*x+a)^5*(d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{16} x^{16} d^{10} b^{5} + \frac{2}{3} x^{15} d^{9} c b^{5} + \frac{1}{3} x^{15} d^{10} b^{4} a + \frac{45}{14} x^{14} d^{8} c^{2} b^{5} + \frac{25}{7} x^{14} d^{9} c b^{4} a + \frac{5}{7} x^{14} d^{10} b^{3} a^{2} + \frac{120}{13} x^{13} d^{7} c^{3} b^{5} + \frac{225}{13} x^{13} d^{8} c^{2} b^{4} a + \frac{100}{13} x^{13} d^{9} c b^{3} a^{2} + \frac{10}{13} x^{13} d^{10} b^{2} a^{3} + \frac{35}{2} x^{12} d^{6} c^{4} b^{5} + 50 x^{12} d^{7} c^{3} b^{4} a + \frac{75}{2} x^{12} d^{8} c^{2} b^{3} a^{2} + \frac{25}{3} x^{12} d^{9} c b^{2} a^{3} + \frac{5}{12} x^{12} d^{10} b a^{4} + \frac{252}{11} x^{11} d^{5} c^{5} b^{5} + \frac{1050}{11} x^{11} d^{6} c^{4} b^{4} a + \frac{1200}{11} x^{11} d^{7} c^{3} b^{3} a^{2} + \frac{450}{11} x^{11} d^{8} c^{2} b^{2} a^{3} + \frac{50}{11} x^{11} d^{9} c b a^{4} + \frac{1}{11} x^{11} d^{10} a^{5} + 21 x^{10} d^{4} c^{6} b^{5} + 126 x^{10} d^{5} c^{5} b^{4} a + 210 x^{10} d^{6} c^{4} b^{3} a^{2} + 120 x^{10} d^{7} c^{3} b^{2} a^{3} + \frac{45}{2} x^{10} d^{8} c^{2} b a^{4} + x^{10} d^{9} c a^{5} + \frac{40}{3} x^{9} d^{3} c^{7} b^{5} + \frac{350}{3} x^{9} d^{4} c^{6} b^{4} a + 280 x^{9} d^{5} c^{5} b^{3} a^{2} + \frac{700}{3} x^{9} d^{6} c^{4} b^{2} a^{3} + \frac{200}{3} x^{9} d^{7} c^{3} b a^{4} + 5 x^{9} d^{8} c^{2} a^{5} + \frac{45}{8} x^{8} d^{2} c^{8} b^{5} + 75 x^{8} d^{3} c^{7} b^{4} a + \frac{525}{2} x^{8} d^{4} c^{6} b^{3} a^{2} + 315 x^{8} d^{5} c^{5} b^{2} a^{3} + \frac{525}{4} x^{8} d^{6} c^{4} b a^{4} + 15 x^{8} d^{7} c^{3} a^{5} + \frac{10}{7} x^{7} d c^{9} b^{5} + \frac{225}{7} x^{7} d^{2} c^{8} b^{4} a + \frac{1200}{7} x^{7} d^{3} c^{7} b^{3} a^{2} + 300 x^{7} d^{4} c^{6} b^{2} a^{3} + 180 x^{7} d^{5} c^{5} b a^{4} + 30 x^{7} d^{6} c^{4} a^{5} + \frac{1}{6} x^{6} c^{10} b^{5} + \frac{25}{3} x^{6} d c^{9} b^{4} a + 75 x^{6} d^{2} c^{8} b^{3} a^{2} + 200 x^{6} d^{3} c^{7} b^{2} a^{3} + 175 x^{6} d^{4} c^{6} b a^{4} + 42 x^{6} d^{5} c^{5} a^{5} + x^{5} c^{10} b^{4} a + 20 x^{5} d c^{9} b^{3} a^{2} + 90 x^{5} d^{2} c^{8} b^{2} a^{3} + 120 x^{5} d^{3} c^{7} b a^{4} + 42 x^{5} d^{4} c^{6} a^{5} + \frac{5}{2} x^{4} c^{10} b^{3} a^{2} + 25 x^{4} d c^{9} b^{2} a^{3} + \frac{225}{4} x^{4} d^{2} c^{8} b a^{4} + 30 x^{4} d^{3} c^{7} a^{5} + \frac{10}{3} x^{3} c^{10} b^{2} a^{3} + \frac{50}{3} x^{3} d c^{9} b a^{4} + 15 x^{3} d^{2} c^{8} a^{5} + \frac{5}{2} x^{2} c^{10} b a^{4} + 5 x^{2} d c^{9} a^{5} + x c^{10} a^{5}"," ",0,"1/16*x^16*d^10*b^5 + 2/3*x^15*d^9*c*b^5 + 1/3*x^15*d^10*b^4*a + 45/14*x^14*d^8*c^2*b^5 + 25/7*x^14*d^9*c*b^4*a + 5/7*x^14*d^10*b^3*a^2 + 120/13*x^13*d^7*c^3*b^5 + 225/13*x^13*d^8*c^2*b^4*a + 100/13*x^13*d^9*c*b^3*a^2 + 10/13*x^13*d^10*b^2*a^3 + 35/2*x^12*d^6*c^4*b^5 + 50*x^12*d^7*c^3*b^4*a + 75/2*x^12*d^8*c^2*b^3*a^2 + 25/3*x^12*d^9*c*b^2*a^3 + 5/12*x^12*d^10*b*a^4 + 252/11*x^11*d^5*c^5*b^5 + 1050/11*x^11*d^6*c^4*b^4*a + 1200/11*x^11*d^7*c^3*b^3*a^2 + 450/11*x^11*d^8*c^2*b^2*a^3 + 50/11*x^11*d^9*c*b*a^4 + 1/11*x^11*d^10*a^5 + 21*x^10*d^4*c^6*b^5 + 126*x^10*d^5*c^5*b^4*a + 210*x^10*d^6*c^4*b^3*a^2 + 120*x^10*d^7*c^3*b^2*a^3 + 45/2*x^10*d^8*c^2*b*a^4 + x^10*d^9*c*a^5 + 40/3*x^9*d^3*c^7*b^5 + 350/3*x^9*d^4*c^6*b^4*a + 280*x^9*d^5*c^5*b^3*a^2 + 700/3*x^9*d^6*c^4*b^2*a^3 + 200/3*x^9*d^7*c^3*b*a^4 + 5*x^9*d^8*c^2*a^5 + 45/8*x^8*d^2*c^8*b^5 + 75*x^8*d^3*c^7*b^4*a + 525/2*x^8*d^4*c^6*b^3*a^2 + 315*x^8*d^5*c^5*b^2*a^3 + 525/4*x^8*d^6*c^4*b*a^4 + 15*x^8*d^7*c^3*a^5 + 10/7*x^7*d*c^9*b^5 + 225/7*x^7*d^2*c^8*b^4*a + 1200/7*x^7*d^3*c^7*b^3*a^2 + 300*x^7*d^4*c^6*b^2*a^3 + 180*x^7*d^5*c^5*b*a^4 + 30*x^7*d^6*c^4*a^5 + 1/6*x^6*c^10*b^5 + 25/3*x^6*d*c^9*b^4*a + 75*x^6*d^2*c^8*b^3*a^2 + 200*x^6*d^3*c^7*b^2*a^3 + 175*x^6*d^4*c^6*b*a^4 + 42*x^6*d^5*c^5*a^5 + x^5*c^10*b^4*a + 20*x^5*d*c^9*b^3*a^2 + 90*x^5*d^2*c^8*b^2*a^3 + 120*x^5*d^3*c^7*b*a^4 + 42*x^5*d^4*c^6*a^5 + 5/2*x^4*c^10*b^3*a^2 + 25*x^4*d*c^9*b^2*a^3 + 225/4*x^4*d^2*c^8*b*a^4 + 30*x^4*d^3*c^7*a^5 + 10/3*x^3*c^10*b^2*a^3 + 50/3*x^3*d*c^9*b*a^4 + 15*x^3*d^2*c^8*a^5 + 5/2*x^2*c^10*b*a^4 + 5*x^2*d*c^9*a^5 + x*c^10*a^5","B",0
1307,1,771,0,1.099824," ","integrate((b*x+a)^4*(d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{15} x^{15} d^{10} b^{4} + \frac{5}{7} x^{14} d^{9} c b^{4} + \frac{2}{7} x^{14} d^{10} b^{3} a + \frac{45}{13} x^{13} d^{8} c^{2} b^{4} + \frac{40}{13} x^{13} d^{9} c b^{3} a + \frac{6}{13} x^{13} d^{10} b^{2} a^{2} + 10 x^{12} d^{7} c^{3} b^{4} + 15 x^{12} d^{8} c^{2} b^{3} a + 5 x^{12} d^{9} c b^{2} a^{2} + \frac{1}{3} x^{12} d^{10} b a^{3} + \frac{210}{11} x^{11} d^{6} c^{4} b^{4} + \frac{480}{11} x^{11} d^{7} c^{3} b^{3} a + \frac{270}{11} x^{11} d^{8} c^{2} b^{2} a^{2} + \frac{40}{11} x^{11} d^{9} c b a^{3} + \frac{1}{11} x^{11} d^{10} a^{4} + \frac{126}{5} x^{10} d^{5} c^{5} b^{4} + 84 x^{10} d^{6} c^{4} b^{3} a + 72 x^{10} d^{7} c^{3} b^{2} a^{2} + 18 x^{10} d^{8} c^{2} b a^{3} + x^{10} d^{9} c a^{4} + \frac{70}{3} x^{9} d^{4} c^{6} b^{4} + 112 x^{9} d^{5} c^{5} b^{3} a + 140 x^{9} d^{6} c^{4} b^{2} a^{2} + \frac{160}{3} x^{9} d^{7} c^{3} b a^{3} + 5 x^{9} d^{8} c^{2} a^{4} + 15 x^{8} d^{3} c^{7} b^{4} + 105 x^{8} d^{4} c^{6} b^{3} a + 189 x^{8} d^{5} c^{5} b^{2} a^{2} + 105 x^{8} d^{6} c^{4} b a^{3} + 15 x^{8} d^{7} c^{3} a^{4} + \frac{45}{7} x^{7} d^{2} c^{8} b^{4} + \frac{480}{7} x^{7} d^{3} c^{7} b^{3} a + 180 x^{7} d^{4} c^{6} b^{2} a^{2} + 144 x^{7} d^{5} c^{5} b a^{3} + 30 x^{7} d^{6} c^{4} a^{4} + \frac{5}{3} x^{6} d c^{9} b^{4} + 30 x^{6} d^{2} c^{8} b^{3} a + 120 x^{6} d^{3} c^{7} b^{2} a^{2} + 140 x^{6} d^{4} c^{6} b a^{3} + 42 x^{6} d^{5} c^{5} a^{4} + \frac{1}{5} x^{5} c^{10} b^{4} + 8 x^{5} d c^{9} b^{3} a + 54 x^{5} d^{2} c^{8} b^{2} a^{2} + 96 x^{5} d^{3} c^{7} b a^{3} + 42 x^{5} d^{4} c^{6} a^{4} + x^{4} c^{10} b^{3} a + 15 x^{4} d c^{9} b^{2} a^{2} + 45 x^{4} d^{2} c^{8} b a^{3} + 30 x^{4} d^{3} c^{7} a^{4} + 2 x^{3} c^{10} b^{2} a^{2} + \frac{40}{3} x^{3} d c^{9} b a^{3} + 15 x^{3} d^{2} c^{8} a^{4} + 2 x^{2} c^{10} b a^{3} + 5 x^{2} d c^{9} a^{4} + x c^{10} a^{4}"," ",0,"1/15*x^15*d^10*b^4 + 5/7*x^14*d^9*c*b^4 + 2/7*x^14*d^10*b^3*a + 45/13*x^13*d^8*c^2*b^4 + 40/13*x^13*d^9*c*b^3*a + 6/13*x^13*d^10*b^2*a^2 + 10*x^12*d^7*c^3*b^4 + 15*x^12*d^8*c^2*b^3*a + 5*x^12*d^9*c*b^2*a^2 + 1/3*x^12*d^10*b*a^3 + 210/11*x^11*d^6*c^4*b^4 + 480/11*x^11*d^7*c^3*b^3*a + 270/11*x^11*d^8*c^2*b^2*a^2 + 40/11*x^11*d^9*c*b*a^3 + 1/11*x^11*d^10*a^4 + 126/5*x^10*d^5*c^5*b^4 + 84*x^10*d^6*c^4*b^3*a + 72*x^10*d^7*c^3*b^2*a^2 + 18*x^10*d^8*c^2*b*a^3 + x^10*d^9*c*a^4 + 70/3*x^9*d^4*c^6*b^4 + 112*x^9*d^5*c^5*b^3*a + 140*x^9*d^6*c^4*b^2*a^2 + 160/3*x^9*d^7*c^3*b*a^3 + 5*x^9*d^8*c^2*a^4 + 15*x^8*d^3*c^7*b^4 + 105*x^8*d^4*c^6*b^3*a + 189*x^8*d^5*c^5*b^2*a^2 + 105*x^8*d^6*c^4*b*a^3 + 15*x^8*d^7*c^3*a^4 + 45/7*x^7*d^2*c^8*b^4 + 480/7*x^7*d^3*c^7*b^3*a + 180*x^7*d^4*c^6*b^2*a^2 + 144*x^7*d^5*c^5*b*a^3 + 30*x^7*d^6*c^4*a^4 + 5/3*x^6*d*c^9*b^4 + 30*x^6*d^2*c^8*b^3*a + 120*x^6*d^3*c^7*b^2*a^2 + 140*x^6*d^4*c^6*b*a^3 + 42*x^6*d^5*c^5*a^4 + 1/5*x^5*c^10*b^4 + 8*x^5*d*c^9*b^3*a + 54*x^5*d^2*c^8*b^2*a^2 + 96*x^5*d^3*c^7*b*a^3 + 42*x^5*d^4*c^6*a^4 + x^4*c^10*b^3*a + 15*x^4*d*c^9*b^2*a^2 + 45*x^4*d^2*c^8*b*a^3 + 30*x^4*d^3*c^7*a^4 + 2*x^3*c^10*b^2*a^2 + 40/3*x^3*d*c^9*b*a^3 + 15*x^3*d^2*c^8*a^4 + 2*x^2*c^10*b*a^3 + 5*x^2*d*c^9*a^4 + x*c^10*a^4","B",0
1308,1,594,0,1.053681," ","integrate((b*x+a)^3*(d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{14} x^{14} d^{10} b^{3} + \frac{10}{13} x^{13} d^{9} c b^{3} + \frac{3}{13} x^{13} d^{10} b^{2} a + \frac{15}{4} x^{12} d^{8} c^{2} b^{3} + \frac{5}{2} x^{12} d^{9} c b^{2} a + \frac{1}{4} x^{12} d^{10} b a^{2} + \frac{120}{11} x^{11} d^{7} c^{3} b^{3} + \frac{135}{11} x^{11} d^{8} c^{2} b^{2} a + \frac{30}{11} x^{11} d^{9} c b a^{2} + \frac{1}{11} x^{11} d^{10} a^{3} + 21 x^{10} d^{6} c^{4} b^{3} + 36 x^{10} d^{7} c^{3} b^{2} a + \frac{27}{2} x^{10} d^{8} c^{2} b a^{2} + x^{10} d^{9} c a^{3} + 28 x^{9} d^{5} c^{5} b^{3} + 70 x^{9} d^{6} c^{4} b^{2} a + 40 x^{9} d^{7} c^{3} b a^{2} + 5 x^{9} d^{8} c^{2} a^{3} + \frac{105}{4} x^{8} d^{4} c^{6} b^{3} + \frac{189}{2} x^{8} d^{5} c^{5} b^{2} a + \frac{315}{4} x^{8} d^{6} c^{4} b a^{2} + 15 x^{8} d^{7} c^{3} a^{3} + \frac{120}{7} x^{7} d^{3} c^{7} b^{3} + 90 x^{7} d^{4} c^{6} b^{2} a + 108 x^{7} d^{5} c^{5} b a^{2} + 30 x^{7} d^{6} c^{4} a^{3} + \frac{15}{2} x^{6} d^{2} c^{8} b^{3} + 60 x^{6} d^{3} c^{7} b^{2} a + 105 x^{6} d^{4} c^{6} b a^{2} + 42 x^{6} d^{5} c^{5} a^{3} + 2 x^{5} d c^{9} b^{3} + 27 x^{5} d^{2} c^{8} b^{2} a + 72 x^{5} d^{3} c^{7} b a^{2} + 42 x^{5} d^{4} c^{6} a^{3} + \frac{1}{4} x^{4} c^{10} b^{3} + \frac{15}{2} x^{4} d c^{9} b^{2} a + \frac{135}{4} x^{4} d^{2} c^{8} b a^{2} + 30 x^{4} d^{3} c^{7} a^{3} + x^{3} c^{10} b^{2} a + 10 x^{3} d c^{9} b a^{2} + 15 x^{3} d^{2} c^{8} a^{3} + \frac{3}{2} x^{2} c^{10} b a^{2} + 5 x^{2} d c^{9} a^{3} + x c^{10} a^{3}"," ",0,"1/14*x^14*d^10*b^3 + 10/13*x^13*d^9*c*b^3 + 3/13*x^13*d^10*b^2*a + 15/4*x^12*d^8*c^2*b^3 + 5/2*x^12*d^9*c*b^2*a + 1/4*x^12*d^10*b*a^2 + 120/11*x^11*d^7*c^3*b^3 + 135/11*x^11*d^8*c^2*b^2*a + 30/11*x^11*d^9*c*b*a^2 + 1/11*x^11*d^10*a^3 + 21*x^10*d^6*c^4*b^3 + 36*x^10*d^7*c^3*b^2*a + 27/2*x^10*d^8*c^2*b*a^2 + x^10*d^9*c*a^3 + 28*x^9*d^5*c^5*b^3 + 70*x^9*d^6*c^4*b^2*a + 40*x^9*d^7*c^3*b*a^2 + 5*x^9*d^8*c^2*a^3 + 105/4*x^8*d^4*c^6*b^3 + 189/2*x^8*d^5*c^5*b^2*a + 315/4*x^8*d^6*c^4*b*a^2 + 15*x^8*d^7*c^3*a^3 + 120/7*x^7*d^3*c^7*b^3 + 90*x^7*d^4*c^6*b^2*a + 108*x^7*d^5*c^5*b*a^2 + 30*x^7*d^6*c^4*a^3 + 15/2*x^6*d^2*c^8*b^3 + 60*x^6*d^3*c^7*b^2*a + 105*x^6*d^4*c^6*b*a^2 + 42*x^6*d^5*c^5*a^3 + 2*x^5*d*c^9*b^3 + 27*x^5*d^2*c^8*b^2*a + 72*x^5*d^3*c^7*b*a^2 + 42*x^5*d^4*c^6*a^3 + 1/4*x^4*c^10*b^3 + 15/2*x^4*d*c^9*b^2*a + 135/4*x^4*d^2*c^8*b*a^2 + 30*x^4*d^3*c^7*a^3 + x^3*c^10*b^2*a + 10*x^3*d*c^9*b*a^2 + 15*x^3*d^2*c^8*a^3 + 3/2*x^2*c^10*b*a^2 + 5*x^2*d*c^9*a^3 + x*c^10*a^3","B",0
1309,1,417,0,0.944328," ","integrate((b*x+a)^2*(d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{13} x^{13} d^{10} b^{2} + \frac{5}{6} x^{12} d^{9} c b^{2} + \frac{1}{6} x^{12} d^{10} b a + \frac{45}{11} x^{11} d^{8} c^{2} b^{2} + \frac{20}{11} x^{11} d^{9} c b a + \frac{1}{11} x^{11} d^{10} a^{2} + 12 x^{10} d^{7} c^{3} b^{2} + 9 x^{10} d^{8} c^{2} b a + x^{10} d^{9} c a^{2} + \frac{70}{3} x^{9} d^{6} c^{4} b^{2} + \frac{80}{3} x^{9} d^{7} c^{3} b a + 5 x^{9} d^{8} c^{2} a^{2} + \frac{63}{2} x^{8} d^{5} c^{5} b^{2} + \frac{105}{2} x^{8} d^{6} c^{4} b a + 15 x^{8} d^{7} c^{3} a^{2} + 30 x^{7} d^{4} c^{6} b^{2} + 72 x^{7} d^{5} c^{5} b a + 30 x^{7} d^{6} c^{4} a^{2} + 20 x^{6} d^{3} c^{7} b^{2} + 70 x^{6} d^{4} c^{6} b a + 42 x^{6} d^{5} c^{5} a^{2} + 9 x^{5} d^{2} c^{8} b^{2} + 48 x^{5} d^{3} c^{7} b a + 42 x^{5} d^{4} c^{6} a^{2} + \frac{5}{2} x^{4} d c^{9} b^{2} + \frac{45}{2} x^{4} d^{2} c^{8} b a + 30 x^{4} d^{3} c^{7} a^{2} + \frac{1}{3} x^{3} c^{10} b^{2} + \frac{20}{3} x^{3} d c^{9} b a + 15 x^{3} d^{2} c^{8} a^{2} + x^{2} c^{10} b a + 5 x^{2} d c^{9} a^{2} + x c^{10} a^{2}"," ",0,"1/13*x^13*d^10*b^2 + 5/6*x^12*d^9*c*b^2 + 1/6*x^12*d^10*b*a + 45/11*x^11*d^8*c^2*b^2 + 20/11*x^11*d^9*c*b*a + 1/11*x^11*d^10*a^2 + 12*x^10*d^7*c^3*b^2 + 9*x^10*d^8*c^2*b*a + x^10*d^9*c*a^2 + 70/3*x^9*d^6*c^4*b^2 + 80/3*x^9*d^7*c^3*b*a + 5*x^9*d^8*c^2*a^2 + 63/2*x^8*d^5*c^5*b^2 + 105/2*x^8*d^6*c^4*b*a + 15*x^8*d^7*c^3*a^2 + 30*x^7*d^4*c^6*b^2 + 72*x^7*d^5*c^5*b*a + 30*x^7*d^6*c^4*a^2 + 20*x^6*d^3*c^7*b^2 + 70*x^6*d^4*c^6*b*a + 42*x^6*d^5*c^5*a^2 + 9*x^5*d^2*c^8*b^2 + 48*x^5*d^3*c^7*b*a + 42*x^5*d^4*c^6*a^2 + 5/2*x^4*d*c^9*b^2 + 45/2*x^4*d^2*c^8*b*a + 30*x^4*d^3*c^7*a^2 + 1/3*x^3*c^10*b^2 + 20/3*x^3*d*c^9*b*a + 15*x^3*d^2*c^8*a^2 + x^2*c^10*b*a + 5*x^2*d*c^9*a^2 + x*c^10*a^2","B",0
1310,1,241,0,1.157897," ","integrate((b*x+a)*(d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{12} x^{12} d^{10} b + \frac{10}{11} x^{11} d^{9} c b + \frac{1}{11} x^{11} d^{10} a + \frac{9}{2} x^{10} d^{8} c^{2} b + x^{10} d^{9} c a + \frac{40}{3} x^{9} d^{7} c^{3} b + 5 x^{9} d^{8} c^{2} a + \frac{105}{4} x^{8} d^{6} c^{4} b + 15 x^{8} d^{7} c^{3} a + 36 x^{7} d^{5} c^{5} b + 30 x^{7} d^{6} c^{4} a + 35 x^{6} d^{4} c^{6} b + 42 x^{6} d^{5} c^{5} a + 24 x^{5} d^{3} c^{7} b + 42 x^{5} d^{4} c^{6} a + \frac{45}{4} x^{4} d^{2} c^{8} b + 30 x^{4} d^{3} c^{7} a + \frac{10}{3} x^{3} d c^{9} b + 15 x^{3} d^{2} c^{8} a + \frac{1}{2} x^{2} c^{10} b + 5 x^{2} d c^{9} a + x c^{10} a"," ",0,"1/12*x^12*d^10*b + 10/11*x^11*d^9*c*b + 1/11*x^11*d^10*a + 9/2*x^10*d^8*c^2*b + x^10*d^9*c*a + 40/3*x^9*d^7*c^3*b + 5*x^9*d^8*c^2*a + 105/4*x^8*d^6*c^4*b + 15*x^8*d^7*c^3*a + 36*x^7*d^5*c^5*b + 30*x^7*d^6*c^4*a + 35*x^6*d^4*c^6*b + 42*x^6*d^5*c^5*a + 24*x^5*d^3*c^7*b + 42*x^5*d^4*c^6*a + 45/4*x^4*d^2*c^8*b + 30*x^4*d^3*c^7*a + 10/3*x^3*d*c^9*b + 15*x^3*d^2*c^8*a + 1/2*x^2*c^10*b + 5*x^2*d*c^9*a + x*c^10*a","B",0
1311,1,108,0,0.984531," ","integrate((d*x+c)^10,x, algorithm=""fricas"")","\frac{1}{11} x^{11} d^{10} + x^{10} d^{9} c + 5 x^{9} d^{8} c^{2} + 15 x^{8} d^{7} c^{3} + 30 x^{7} d^{6} c^{4} + 42 x^{6} d^{5} c^{5} + 42 x^{5} d^{4} c^{6} + 30 x^{4} d^{3} c^{7} + 15 x^{3} d^{2} c^{8} + 5 x^{2} d c^{9} + x c^{10}"," ",0,"1/11*x^11*d^10 + x^10*d^9*c + 5*x^9*d^8*c^2 + 15*x^8*d^7*c^3 + 30*x^7*d^6*c^4 + 42*x^6*d^5*c^5 + 42*x^5*d^4*c^6 + 30*x^4*d^3*c^7 + 15*x^3*d^2*c^8 + 5*x^2*d*c^9 + x*c^10","B",0
1312,1,868,0,1.282496," ","integrate((d*x+c)^10/(b*x+a),x, algorithm=""fricas"")","\frac{252 \, b^{10} d^{10} x^{10} + 280 \, {\left(10 \, b^{10} c d^{9} - a b^{9} d^{10}\right)} x^{9} + 315 \, {\left(45 \, b^{10} c^{2} d^{8} - 10 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 360 \, {\left(120 \, b^{10} c^{3} d^{7} - 45 \, a b^{9} c^{2} d^{8} + 10 \, a^{2} b^{8} c d^{9} - a^{3} b^{7} d^{10}\right)} x^{7} + 420 \, {\left(210 \, b^{10} c^{4} d^{6} - 120 \, a b^{9} c^{3} d^{7} + 45 \, 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} + 504 \, {\left(252 \, b^{10} c^{5} d^{5} - 210 \, a b^{9} c^{4} d^{6} + 120 \, a^{2} b^{8} c^{3} d^{7} - 45 \, 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} + 630 \, {\left(210 \, b^{10} c^{6} d^{4} - 252 \, a b^{9} c^{5} d^{5} + 210 \, a^{2} b^{8} c^{4} d^{6} - 120 \, a^{3} b^{7} c^{3} d^{7} + 45 \, 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} + 840 \, {\left(120 \, b^{10} c^{7} d^{3} - 210 \, a b^{9} c^{6} d^{4} + 252 \, a^{2} b^{8} c^{5} d^{5} - 210 \, a^{3} b^{7} c^{4} d^{6} + 120 \, a^{4} b^{6} c^{3} d^{7} - 45 \, 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} + 1260 \, {\left(45 \, b^{10} c^{8} d^{2} - 120 \, a b^{9} c^{7} d^{3} + 210 \, a^{2} b^{8} c^{6} d^{4} - 252 \, a^{3} b^{7} c^{5} d^{5} + 210 \, a^{4} b^{6} c^{4} d^{6} - 120 \, a^{5} b^{5} c^{3} d^{7} + 45 \, 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} + 2520 \, {\left(10 \, b^{10} c^{9} d - 45 \, a b^{9} c^{8} d^{2} + 120 \, a^{2} b^{8} c^{7} d^{3} - 210 \, a^{3} b^{7} c^{6} d^{4} + 252 \, a^{4} b^{6} c^{5} d^{5} - 210 \, a^{5} b^{5} c^{4} d^{6} + 120 \, a^{6} b^{4} c^{3} d^{7} - 45 \, a^{7} b^{3} c^{2} d^{8} + 10 \, a^{8} b^{2} c d^{9} - a^{9} b d^{10}\right)} x + 2520 \, {\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)}{2520 \, b^{11}}"," ",0,"1/2520*(252*b^10*d^10*x^10 + 280*(10*b^10*c*d^9 - a*b^9*d^10)*x^9 + 315*(45*b^10*c^2*d^8 - 10*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 360*(120*b^10*c^3*d^7 - 45*a*b^9*c^2*d^8 + 10*a^2*b^8*c*d^9 - a^3*b^7*d^10)*x^7 + 420*(210*b^10*c^4*d^6 - 120*a*b^9*c^3*d^7 + 45*a^2*b^8*c^2*d^8 - 10*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 504*(252*b^10*c^5*d^5 - 210*a*b^9*c^4*d^6 + 120*a^2*b^8*c^3*d^7 - 45*a^3*b^7*c^2*d^8 + 10*a^4*b^6*c*d^9 - a^5*b^5*d^10)*x^5 + 630*(210*b^10*c^6*d^4 - 252*a*b^9*c^5*d^5 + 210*a^2*b^8*c^4*d^6 - 120*a^3*b^7*c^3*d^7 + 45*a^4*b^6*c^2*d^8 - 10*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 840*(120*b^10*c^7*d^3 - 210*a*b^9*c^6*d^4 + 252*a^2*b^8*c^5*d^5 - 210*a^3*b^7*c^4*d^6 + 120*a^4*b^6*c^3*d^7 - 45*a^5*b^5*c^2*d^8 + 10*a^6*b^4*c*d^9 - a^7*b^3*d^10)*x^3 + 1260*(45*b^10*c^8*d^2 - 120*a*b^9*c^7*d^3 + 210*a^2*b^8*c^6*d^4 - 252*a^3*b^7*c^5*d^5 + 210*a^4*b^6*c^4*d^6 - 120*a^5*b^5*c^3*d^7 + 45*a^6*b^4*c^2*d^8 - 10*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 2520*(10*b^10*c^9*d - 45*a*b^9*c^8*d^2 + 120*a^2*b^8*c^7*d^3 - 210*a^3*b^7*c^6*d^4 + 252*a^4*b^6*c^5*d^5 - 210*a^5*b^5*c^4*d^6 + 120*a^6*b^4*c^3*d^7 - 45*a^7*b^3*c^2*d^8 + 10*a^8*b^2*c*d^9 - a^9*b*d^10)*x + 2520*(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
1313,1,1124,0,1.306612," ","integrate((d*x+c)^10/(b*x+a)^2,x, algorithm=""fricas"")","\frac{28 \, b^{10} d^{10} x^{10} - 252 \, b^{10} c^{10} + 2520 \, a b^{9} c^{9} d - 11340 \, a^{2} b^{8} c^{8} d^{2} + 30240 \, a^{3} b^{7} c^{7} d^{3} - 52920 \, a^{4} b^{6} c^{6} d^{4} + 63504 \, a^{5} b^{5} c^{5} d^{5} - 52920 \, a^{6} b^{4} c^{4} d^{6} + 30240 \, a^{7} b^{3} c^{3} d^{7} - 11340 \, a^{8} b^{2} c^{2} d^{8} + 2520 \, a^{9} b c d^{9} - 252 \, a^{10} d^{10} + 35 \, {\left(9 \, b^{10} c d^{9} - a b^{9} d^{10}\right)} x^{9} + 45 \, {\left(36 \, b^{10} c^{2} d^{8} - 9 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 60 \, {\left(84 \, b^{10} c^{3} d^{7} - 36 \, a b^{9} c^{2} d^{8} + 9 \, a^{2} b^{8} c d^{9} - a^{3} b^{7} d^{10}\right)} x^{7} + 84 \, {\left(126 \, b^{10} c^{4} d^{6} - 84 \, a b^{9} c^{3} d^{7} + 36 \, 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} + 126 \, {\left(126 \, b^{10} c^{5} d^{5} - 126 \, a b^{9} c^{4} d^{6} + 84 \, a^{2} b^{8} c^{3} d^{7} - 36 \, 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} + 210 \, {\left(84 \, b^{10} c^{6} d^{4} - 126 \, a b^{9} c^{5} d^{5} + 126 \, a^{2} b^{8} c^{4} d^{6} - 84 \, a^{3} b^{7} c^{3} d^{7} + 36 \, 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} + 420 \, {\left(36 \, b^{10} c^{7} d^{3} - 84 \, a b^{9} c^{6} d^{4} + 126 \, a^{2} b^{8} c^{5} d^{5} - 126 \, a^{3} b^{7} c^{4} d^{6} + 84 \, a^{4} b^{6} c^{3} d^{7} - 36 \, 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} + 1260 \, {\left(9 \, b^{10} c^{8} d^{2} - 36 \, a b^{9} c^{7} d^{3} + 84 \, a^{2} b^{8} c^{6} d^{4} - 126 \, a^{3} b^{7} c^{5} d^{5} + 126 \, a^{4} b^{6} c^{4} d^{6} - 84 \, a^{5} b^{5} c^{3} d^{7} + 36 \, 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} + 252 \, {\left(45 \, a b^{9} c^{8} d^{2} - 240 \, a^{2} b^{8} c^{7} d^{3} + 630 \, a^{3} b^{7} c^{6} d^{4} - 1008 \, a^{4} b^{6} c^{5} d^{5} + 1050 \, a^{5} b^{5} c^{4} d^{6} - 720 \, a^{6} b^{4} c^{3} d^{7} + 315 \, a^{7} b^{3} c^{2} d^{8} - 80 \, a^{8} b^{2} c d^{9} + 9 \, a^{9} b d^{10}\right)} x + 2520 \, {\left(a b^{9} c^{9} d - 9 \, a^{2} b^{8} c^{8} d^{2} + 36 \, 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} - 126 \, a^{6} b^{4} c^{4} d^{6} + 84 \, a^{7} b^{3} c^{3} d^{7} - 36 \, a^{8} b^{2} c^{2} d^{8} + 9 \, a^{9} b c d^{9} - a^{10} d^{10} + {\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\right)} \log\left(b x + a\right)}{252 \, {\left(b^{12} x + a b^{11}\right)}}"," ",0,"1/252*(28*b^10*d^10*x^10 - 252*b^10*c^10 + 2520*a*b^9*c^9*d - 11340*a^2*b^8*c^8*d^2 + 30240*a^3*b^7*c^7*d^3 - 52920*a^4*b^6*c^6*d^4 + 63504*a^5*b^5*c^5*d^5 - 52920*a^6*b^4*c^4*d^6 + 30240*a^7*b^3*c^3*d^7 - 11340*a^8*b^2*c^2*d^8 + 2520*a^9*b*c*d^9 - 252*a^10*d^10 + 35*(9*b^10*c*d^9 - a*b^9*d^10)*x^9 + 45*(36*b^10*c^2*d^8 - 9*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 60*(84*b^10*c^3*d^7 - 36*a*b^9*c^2*d^8 + 9*a^2*b^8*c*d^9 - a^3*b^7*d^10)*x^7 + 84*(126*b^10*c^4*d^6 - 84*a*b^9*c^3*d^7 + 36*a^2*b^8*c^2*d^8 - 9*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 126*(126*b^10*c^5*d^5 - 126*a*b^9*c^4*d^6 + 84*a^2*b^8*c^3*d^7 - 36*a^3*b^7*c^2*d^8 + 9*a^4*b^6*c*d^9 - a^5*b^5*d^10)*x^5 + 210*(84*b^10*c^6*d^4 - 126*a*b^9*c^5*d^5 + 126*a^2*b^8*c^4*d^6 - 84*a^3*b^7*c^3*d^7 + 36*a^4*b^6*c^2*d^8 - 9*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 420*(36*b^10*c^7*d^3 - 84*a*b^9*c^6*d^4 + 126*a^2*b^8*c^5*d^5 - 126*a^3*b^7*c^4*d^6 + 84*a^4*b^6*c^3*d^7 - 36*a^5*b^5*c^2*d^8 + 9*a^6*b^4*c*d^9 - a^7*b^3*d^10)*x^3 + 1260*(9*b^10*c^8*d^2 - 36*a*b^9*c^7*d^3 + 84*a^2*b^8*c^6*d^4 - 126*a^3*b^7*c^5*d^5 + 126*a^4*b^6*c^4*d^6 - 84*a^5*b^5*c^3*d^7 + 36*a^6*b^4*c^2*d^8 - 9*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 252*(45*a*b^9*c^8*d^2 - 240*a^2*b^8*c^7*d^3 + 630*a^3*b^7*c^6*d^4 - 1008*a^4*b^6*c^5*d^5 + 1050*a^5*b^5*c^4*d^6 - 720*a^6*b^4*c^3*d^7 + 315*a^7*b^3*c^2*d^8 - 80*a^8*b^2*c*d^9 + 9*a^9*b*d^10)*x + 2520*(a*b^9*c^9*d - 9*a^2*b^8*c^8*d^2 + 36*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 - 126*a^6*b^4*c^4*d^6 + 84*a^7*b^3*c^3*d^7 - 36*a^8*b^2*c^2*d^8 + 9*a^9*b*c*d^9 - a^10*d^10 + (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)*log(b*x + a))/(b^12*x + a*b^11)","B",0
1314,1,1233,0,1.261928," ","integrate((d*x+c)^10/(b*x+a)^3,x, algorithm=""fricas"")","\frac{7 \, b^{10} d^{10} x^{10} - 28 \, b^{10} c^{10} - 280 \, a b^{9} c^{9} d + 3780 \, a^{2} b^{8} c^{8} d^{2} - 16800 \, a^{3} b^{7} c^{7} d^{3} + 41160 \, a^{4} b^{6} c^{6} d^{4} - 63504 \, a^{5} b^{5} c^{5} d^{5} + 64680 \, a^{6} b^{4} c^{4} d^{6} - 43680 \, a^{7} b^{3} c^{3} d^{7} + 18900 \, a^{8} b^{2} c^{2} d^{8} - 4760 \, a^{9} b c d^{9} + 532 \, a^{10} d^{10} + 10 \, {\left(8 \, b^{10} c d^{9} - a b^{9} d^{10}\right)} x^{9} + 15 \, {\left(28 \, b^{10} c^{2} d^{8} - 8 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 24 \, {\left(56 \, b^{10} c^{3} d^{7} - 28 \, a b^{9} c^{2} d^{8} + 8 \, a^{2} b^{8} c d^{9} - a^{3} b^{7} d^{10}\right)} x^{7} + 42 \, {\left(70 \, b^{10} c^{4} d^{6} - 56 \, a b^{9} c^{3} d^{7} + 28 \, 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} + 84 \, {\left(56 \, b^{10} c^{5} d^{5} - 70 \, a b^{9} c^{4} d^{6} + 56 \, a^{2} b^{8} c^{3} d^{7} - 28 \, 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} + 210 \, {\left(28 \, b^{10} c^{6} d^{4} - 56 \, a b^{9} c^{5} d^{5} + 70 \, a^{2} b^{8} c^{4} d^{6} - 56 \, a^{3} b^{7} c^{3} d^{7} + 28 \, 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} + 840 \, {\left(8 \, b^{10} c^{7} d^{3} - 28 \, a b^{9} c^{6} d^{4} + 56 \, a^{2} b^{8} c^{5} d^{5} - 70 \, a^{3} b^{7} c^{4} d^{6} + 56 \, a^{4} b^{6} c^{3} d^{7} - 28 \, 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} + 28 \, {\left(480 \, a b^{9} c^{7} d^{3} - 2310 \, a^{2} b^{8} c^{6} d^{4} + 5292 \, a^{3} b^{7} c^{5} d^{5} - 7140 \, a^{4} b^{6} c^{4} d^{6} + 6000 \, a^{5} b^{5} c^{3} d^{7} - 3105 \, a^{6} b^{4} c^{2} d^{8} + 910 \, a^{7} b^{3} c d^{9} - 116 \, a^{8} b^{2} d^{10}\right)} x^{2} - 56 \, {\left(10 \, b^{10} c^{9} d - 90 \, a b^{9} c^{8} d^{2} + 240 \, a^{2} b^{8} c^{7} d^{3} - 210 \, a^{3} b^{7} c^{6} d^{4} - 252 \, a^{4} b^{6} c^{5} d^{5} + 840 \, a^{5} b^{5} c^{4} d^{6} - 960 \, a^{6} b^{4} c^{3} d^{7} + 585 \, a^{7} b^{3} c^{2} d^{8} - 190 \, a^{8} b^{2} c d^{9} + 26 \, a^{9} b d^{10}\right)} x + 2520 \, {\left(a^{2} b^{8} c^{8} d^{2} - 8 \, a^{3} b^{7} c^{7} d^{3} + 28 \, a^{4} b^{6} c^{6} d^{4} - 56 \, a^{5} b^{5} c^{5} d^{5} + 70 \, a^{6} b^{4} c^{4} d^{6} - 56 \, a^{7} b^{3} c^{3} d^{7} + 28 \, a^{8} b^{2} c^{2} d^{8} - 8 \, a^{9} b c d^{9} + a^{10} d^{10} + {\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} + 2 \, {\left(a b^{9} c^{8} d^{2} - 8 \, a^{2} b^{8} c^{7} d^{3} + 28 \, a^{3} b^{7} c^{6} d^{4} - 56 \, a^{4} b^{6} c^{5} d^{5} + 70 \, a^{5} b^{5} c^{4} d^{6} - 56 \, a^{6} b^{4} c^{3} d^{7} + 28 \, a^{7} b^{3} c^{2} d^{8} - 8 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x\right)} \log\left(b x + a\right)}{56 \, {\left(b^{13} x^{2} + 2 \, a b^{12} x + a^{2} b^{11}\right)}}"," ",0,"1/56*(7*b^10*d^10*x^10 - 28*b^10*c^10 - 280*a*b^9*c^9*d + 3780*a^2*b^8*c^8*d^2 - 16800*a^3*b^7*c^7*d^3 + 41160*a^4*b^6*c^6*d^4 - 63504*a^5*b^5*c^5*d^5 + 64680*a^6*b^4*c^4*d^6 - 43680*a^7*b^3*c^3*d^7 + 18900*a^8*b^2*c^2*d^8 - 4760*a^9*b*c*d^9 + 532*a^10*d^10 + 10*(8*b^10*c*d^9 - a*b^9*d^10)*x^9 + 15*(28*b^10*c^2*d^8 - 8*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 24*(56*b^10*c^3*d^7 - 28*a*b^9*c^2*d^8 + 8*a^2*b^8*c*d^9 - a^3*b^7*d^10)*x^7 + 42*(70*b^10*c^4*d^6 - 56*a*b^9*c^3*d^7 + 28*a^2*b^8*c^2*d^8 - 8*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 84*(56*b^10*c^5*d^5 - 70*a*b^9*c^4*d^6 + 56*a^2*b^8*c^3*d^7 - 28*a^3*b^7*c^2*d^8 + 8*a^4*b^6*c*d^9 - a^5*b^5*d^10)*x^5 + 210*(28*b^10*c^6*d^4 - 56*a*b^9*c^5*d^5 + 70*a^2*b^8*c^4*d^6 - 56*a^3*b^7*c^3*d^7 + 28*a^4*b^6*c^2*d^8 - 8*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 840*(8*b^10*c^7*d^3 - 28*a*b^9*c^6*d^4 + 56*a^2*b^8*c^5*d^5 - 70*a^3*b^7*c^4*d^6 + 56*a^4*b^6*c^3*d^7 - 28*a^5*b^5*c^2*d^8 + 8*a^6*b^4*c*d^9 - a^7*b^3*d^10)*x^3 + 28*(480*a*b^9*c^7*d^3 - 2310*a^2*b^8*c^6*d^4 + 5292*a^3*b^7*c^5*d^5 - 7140*a^4*b^6*c^4*d^6 + 6000*a^5*b^5*c^3*d^7 - 3105*a^6*b^4*c^2*d^8 + 910*a^7*b^3*c*d^9 - 116*a^8*b^2*d^10)*x^2 - 56*(10*b^10*c^9*d - 90*a*b^9*c^8*d^2 + 240*a^2*b^8*c^7*d^3 - 210*a^3*b^7*c^6*d^4 - 252*a^4*b^6*c^5*d^5 + 840*a^5*b^5*c^4*d^6 - 960*a^6*b^4*c^3*d^7 + 585*a^7*b^3*c^2*d^8 - 190*a^8*b^2*c*d^9 + 26*a^9*b*d^10)*x + 2520*(a^2*b^8*c^8*d^2 - 8*a^3*b^7*c^7*d^3 + 28*a^4*b^6*c^6*d^4 - 56*a^5*b^5*c^5*d^5 + 70*a^6*b^4*c^4*d^6 - 56*a^7*b^3*c^3*d^7 + 28*a^8*b^2*c^2*d^8 - 8*a^9*b*c*d^9 + a^10*d^10 + (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 + 2*(a*b^9*c^8*d^2 - 8*a^2*b^8*c^7*d^3 + 28*a^3*b^7*c^6*d^4 - 56*a^4*b^6*c^5*d^5 + 70*a^5*b^5*c^4*d^6 - 56*a^6*b^4*c^3*d^7 + 28*a^7*b^3*c^2*d^8 - 8*a^8*b^2*c*d^9 + a^9*b*d^10)*x)*log(b*x + a))/(b^13*x^2 + 2*a*b^12*x + a^2*b^11)","B",0
1315,1,1316,0,1.247067," ","integrate((d*x+c)^10/(b*x+a)^4,x, algorithm=""fricas"")","\frac{3 \, b^{10} d^{10} x^{10} - 7 \, b^{10} c^{10} - 35 \, a b^{9} c^{9} d - 315 \, a^{2} b^{8} c^{8} d^{2} + 4620 \, a^{3} b^{7} c^{7} d^{3} - 19110 \, a^{4} b^{6} c^{6} d^{4} + 41454 \, a^{5} b^{5} c^{5} d^{5} - 54390 \, a^{6} b^{4} c^{4} d^{6} + 44940 \, a^{7} b^{3} c^{3} d^{7} - 22995 \, a^{8} b^{2} c^{2} d^{8} + 6685 \, a^{9} b c d^{9} - 847 \, a^{10} d^{10} + 5 \, {\left(7 \, b^{10} c d^{9} - a b^{9} d^{10}\right)} x^{9} + 9 \, {\left(21 \, b^{10} c^{2} d^{8} - 7 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 18 \, {\left(35 \, b^{10} c^{3} d^{7} - 21 \, a b^{9} c^{2} d^{8} + 7 \, a^{2} b^{8} c d^{9} - a^{3} b^{7} d^{10}\right)} x^{7} + 42 \, {\left(35 \, b^{10} c^{4} d^{6} - 35 \, a b^{9} c^{3} d^{7} + 21 \, 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} + 126 \, {\left(21 \, b^{10} c^{5} d^{5} - 35 \, a b^{9} c^{4} d^{6} + 35 \, a^{2} b^{8} c^{3} d^{7} - 21 \, 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} + 630 \, {\left(7 \, b^{10} c^{6} d^{4} - 21 \, a b^{9} c^{5} d^{5} + 35 \, a^{2} b^{8} c^{4} d^{6} - 35 \, a^{3} b^{7} c^{3} d^{7} + 21 \, 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} + 7 \, {\left(1890 \, a b^{9} c^{6} d^{4} - 7938 \, a^{2} b^{8} c^{5} d^{5} + 15330 \, a^{3} b^{7} c^{4} d^{6} - 16680 \, a^{4} b^{6} c^{3} d^{7} + 10575 \, a^{5} b^{5} c^{2} d^{8} - 3665 \, a^{6} b^{4} c d^{9} + 539 \, a^{7} b^{3} d^{10}\right)} x^{3} - 21 \, {\left(45 \, b^{10} c^{8} d^{2} - 360 \, a b^{9} c^{7} d^{3} + 630 \, a^{2} b^{8} c^{6} d^{4} + 378 \, a^{3} b^{7} c^{5} d^{5} - 2730 \, a^{4} b^{6} c^{4} d^{6} + 4080 \, a^{5} b^{5} c^{3} d^{7} - 3015 \, a^{6} b^{4} c^{2} d^{8} + 1145 \, a^{7} b^{3} c d^{9} - 179 \, a^{8} b^{2} d^{10}\right)} x^{2} - 21 \, {\left(5 \, b^{10} c^{9} d + 45 \, a b^{9} c^{8} d^{2} - 540 \, a^{2} b^{8} c^{7} d^{3} + 1890 \, a^{3} b^{7} c^{6} d^{4} - 3402 \, a^{4} b^{6} c^{5} d^{5} + 3570 \, a^{5} b^{5} c^{4} d^{6} - 2220 \, a^{6} b^{4} c^{3} d^{7} + 765 \, a^{7} b^{3} c^{2} d^{8} - 115 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x + 2520 \, {\left(a^{3} b^{7} c^{7} d^{3} - 7 \, a^{4} b^{6} c^{6} d^{4} + 21 \, a^{5} b^{5} c^{5} d^{5} - 35 \, a^{6} b^{4} c^{4} d^{6} + 35 \, a^{7} b^{3} c^{3} d^{7} - 21 \, a^{8} b^{2} c^{2} d^{8} + 7 \, a^{9} b c d^{9} - a^{10} d^{10} + {\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} + 3 \, {\left(a b^{9} c^{7} d^{3} - 7 \, a^{2} b^{8} c^{6} d^{4} + 21 \, a^{3} b^{7} c^{5} d^{5} - 35 \, a^{4} b^{6} c^{4} d^{6} + 35 \, a^{5} b^{5} c^{3} d^{7} - 21 \, 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} + 3 \, {\left(a^{2} b^{8} c^{7} d^{3} - 7 \, a^{3} b^{7} c^{6} d^{4} + 21 \, a^{4} b^{6} c^{5} d^{5} - 35 \, a^{5} b^{5} c^{4} d^{6} + 35 \, a^{6} b^{4} c^{3} d^{7} - 21 \, a^{7} b^{3} c^{2} d^{8} + 7 \, a^{8} b^{2} c d^{9} - a^{9} b d^{10}\right)} x\right)} \log\left(b x + a\right)}{21 \, {\left(b^{14} x^{3} + 3 \, a b^{13} x^{2} + 3 \, a^{2} b^{12} x + a^{3} b^{11}\right)}}"," ",0,"1/21*(3*b^10*d^10*x^10 - 7*b^10*c^10 - 35*a*b^9*c^9*d - 315*a^2*b^8*c^8*d^2 + 4620*a^3*b^7*c^7*d^3 - 19110*a^4*b^6*c^6*d^4 + 41454*a^5*b^5*c^5*d^5 - 54390*a^6*b^4*c^4*d^6 + 44940*a^7*b^3*c^3*d^7 - 22995*a^8*b^2*c^2*d^8 + 6685*a^9*b*c*d^9 - 847*a^10*d^10 + 5*(7*b^10*c*d^9 - a*b^9*d^10)*x^9 + 9*(21*b^10*c^2*d^8 - 7*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 18*(35*b^10*c^3*d^7 - 21*a*b^9*c^2*d^8 + 7*a^2*b^8*c*d^9 - a^3*b^7*d^10)*x^7 + 42*(35*b^10*c^4*d^6 - 35*a*b^9*c^3*d^7 + 21*a^2*b^8*c^2*d^8 - 7*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 126*(21*b^10*c^5*d^5 - 35*a*b^9*c^4*d^6 + 35*a^2*b^8*c^3*d^7 - 21*a^3*b^7*c^2*d^8 + 7*a^4*b^6*c*d^9 - a^5*b^5*d^10)*x^5 + 630*(7*b^10*c^6*d^4 - 21*a*b^9*c^5*d^5 + 35*a^2*b^8*c^4*d^6 - 35*a^3*b^7*c^3*d^7 + 21*a^4*b^6*c^2*d^8 - 7*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 7*(1890*a*b^9*c^6*d^4 - 7938*a^2*b^8*c^5*d^5 + 15330*a^3*b^7*c^4*d^6 - 16680*a^4*b^6*c^3*d^7 + 10575*a^5*b^5*c^2*d^8 - 3665*a^6*b^4*c*d^9 + 539*a^7*b^3*d^10)*x^3 - 21*(45*b^10*c^8*d^2 - 360*a*b^9*c^7*d^3 + 630*a^2*b^8*c^6*d^4 + 378*a^3*b^7*c^5*d^5 - 2730*a^4*b^6*c^4*d^6 + 4080*a^5*b^5*c^3*d^7 - 3015*a^6*b^4*c^2*d^8 + 1145*a^7*b^3*c*d^9 - 179*a^8*b^2*d^10)*x^2 - 21*(5*b^10*c^9*d + 45*a*b^9*c^8*d^2 - 540*a^2*b^8*c^7*d^3 + 1890*a^3*b^7*c^6*d^4 - 3402*a^4*b^6*c^5*d^5 + 3570*a^5*b^5*c^4*d^6 - 2220*a^6*b^4*c^3*d^7 + 765*a^7*b^3*c^2*d^8 - 115*a^8*b^2*c*d^9 + a^9*b*d^10)*x + 2520*(a^3*b^7*c^7*d^3 - 7*a^4*b^6*c^6*d^4 + 21*a^5*b^5*c^5*d^5 - 35*a^6*b^4*c^4*d^6 + 35*a^7*b^3*c^3*d^7 - 21*a^8*b^2*c^2*d^8 + 7*a^9*b*c*d^9 - a^10*d^10 + (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 + 3*(a*b^9*c^7*d^3 - 7*a^2*b^8*c^6*d^4 + 21*a^3*b^7*c^5*d^5 - 35*a^4*b^6*c^4*d^6 + 35*a^5*b^5*c^3*d^7 - 21*a^6*b^4*c^2*d^8 + 7*a^7*b^3*c*d^9 - a^8*b^2*d^10)*x^2 + 3*(a^2*b^8*c^7*d^3 - 7*a^3*b^7*c^6*d^4 + 21*a^4*b^6*c^5*d^5 - 35*a^5*b^5*c^4*d^6 + 35*a^6*b^4*c^3*d^7 - 21*a^7*b^3*c^2*d^8 + 7*a^8*b^2*c*d^9 - a^9*b*d^10)*x)*log(b*x + a))/(b^14*x^3 + 3*a*b^13*x^2 + 3*a^2*b^12*x + a^3*b^11)","B",0
1316,1,1365,0,1.254537," ","integrate((d*x+c)^10/(b*x+a)^5,x, algorithm=""fricas"")","\frac{2 \, b^{10} d^{10} x^{10} - 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} + 4 \, {\left(6 \, b^{10} c d^{9} - a b^{9} d^{10}\right)} x^{9} + 9 \, {\left(15 \, b^{10} c^{2} d^{8} - 6 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 24 \, {\left(20 \, b^{10} c^{3} d^{7} - 15 \, a b^{9} c^{2} d^{8} + 6 \, a^{2} b^{8} c d^{9} - a^{3} b^{7} d^{10}\right)} x^{7} + 84 \, {\left(15 \, b^{10} c^{4} d^{6} - 20 \, a b^{9} c^{3} d^{7} + 15 \, 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} + 504 \, {\left(6 \, b^{10} c^{5} d^{5} - 15 \, a b^{9} c^{4} d^{6} + 20 \, a^{2} b^{8} c^{3} d^{7} - 15 \, 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} + {\left(12096 \, a b^{9} c^{5} d^{5} - 42840 \, a^{2} b^{8} c^{4} d^{6} + 66720 \, a^{3} b^{7} c^{3} d^{7} - 54765 \, a^{4} b^{6} c^{2} d^{8} + 23250 \, a^{5} b^{5} c d^{9} - 4043 \, a^{6} b^{4} d^{10}\right)} x^{4} - 4 \, {\left(360 \, b^{10} c^{7} d^{3} - 2520 \, a b^{9} c^{6} d^{4} + 3024 \, a^{2} b^{8} c^{5} d^{5} + 5040 \, a^{3} b^{7} c^{4} d^{6} - 16320 \, a^{4} b^{6} c^{3} d^{7} + 16965 \, a^{5} b^{5} c^{2} d^{8} - 8130 \, a^{6} b^{4} c d^{9} + 1523 \, a^{7} b^{3} d^{10}\right)} x^{3} - 6 \, {\left(45 \, b^{10} c^{8} d^{2} + 360 \, a b^{9} c^{7} d^{3} - 3780 \, a^{2} b^{8} c^{6} d^{4} + 10584 \, a^{3} b^{7} c^{5} d^{5} - 13860 \, a^{4} b^{6} c^{4} d^{6} + 8880 \, a^{5} b^{5} c^{3} d^{7} - 1935 \, a^{6} b^{4} c^{2} d^{8} - 570 \, a^{7} b^{3} c d^{9} + 263 \, a^{8} b^{2} d^{10}\right)} x^{2} - 4 \, {\left(10 \, b^{10} c^{9} d + 45 \, a b^{9} c^{8} d^{2} + 360 \, a^{2} b^{8} c^{7} d^{3} - 4620 \, a^{3} b^{7} c^{6} d^{4} + 15624 \, a^{4} b^{6} c^{5} d^{5} - 26460 \, a^{5} b^{5} c^{4} d^{6} + 25680 \, a^{6} b^{4} c^{3} d^{7} - 14535 \, a^{7} b^{3} c^{2} d^{8} + 4470 \, a^{8} b^{2} c d^{9} - 577 \, a^{9} b d^{10}\right)} x + 2520 \, {\left(a^{4} b^{6} c^{6} d^{4} - 6 \, a^{5} b^{5} c^{5} d^{5} + 15 \, a^{6} b^{4} c^{4} d^{6} - 20 \, a^{7} b^{3} c^{3} d^{7} + 15 \, a^{8} b^{2} c^{2} d^{8} - 6 \, a^{9} b c d^{9} + a^{10} d^{10} + {\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} + 4 \, {\left(a b^{9} c^{6} d^{4} - 6 \, a^{2} b^{8} c^{5} d^{5} + 15 \, a^{3} b^{7} c^{4} d^{6} - 20 \, a^{4} b^{6} c^{3} d^{7} + 15 \, 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} + 6 \, {\left(a^{2} b^{8} c^{6} d^{4} - 6 \, a^{3} b^{7} c^{5} d^{5} + 15 \, a^{4} b^{6} c^{4} d^{6} - 20 \, a^{5} b^{5} c^{3} d^{7} + 15 \, 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} + 4 \, {\left(a^{3} b^{7} c^{6} d^{4} - 6 \, a^{4} b^{6} c^{5} d^{5} + 15 \, a^{5} b^{5} c^{4} d^{6} - 20 \, a^{6} b^{4} c^{3} d^{7} + 15 \, a^{7} b^{3} c^{2} d^{8} - 6 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/12*(2*b^10*d^10*x^10 - 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 + 4*(6*b^10*c*d^9 - a*b^9*d^10)*x^9 + 9*(15*b^10*c^2*d^8 - 6*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 24*(20*b^10*c^3*d^7 - 15*a*b^9*c^2*d^8 + 6*a^2*b^8*c*d^9 - a^3*b^7*d^10)*x^7 + 84*(15*b^10*c^4*d^6 - 20*a*b^9*c^3*d^7 + 15*a^2*b^8*c^2*d^8 - 6*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 504*(6*b^10*c^5*d^5 - 15*a*b^9*c^4*d^6 + 20*a^2*b^8*c^3*d^7 - 15*a^3*b^7*c^2*d^8 + 6*a^4*b^6*c*d^9 - a^5*b^5*d^10)*x^5 + (12096*a*b^9*c^5*d^5 - 42840*a^2*b^8*c^4*d^6 + 66720*a^3*b^7*c^3*d^7 - 54765*a^4*b^6*c^2*d^8 + 23250*a^5*b^5*c*d^9 - 4043*a^6*b^4*d^10)*x^4 - 4*(360*b^10*c^7*d^3 - 2520*a*b^9*c^6*d^4 + 3024*a^2*b^8*c^5*d^5 + 5040*a^3*b^7*c^4*d^6 - 16320*a^4*b^6*c^3*d^7 + 16965*a^5*b^5*c^2*d^8 - 8130*a^6*b^4*c*d^9 + 1523*a^7*b^3*d^10)*x^3 - 6*(45*b^10*c^8*d^2 + 360*a*b^9*c^7*d^3 - 3780*a^2*b^8*c^6*d^4 + 10584*a^3*b^7*c^5*d^5 - 13860*a^4*b^6*c^4*d^6 + 8880*a^5*b^5*c^3*d^7 - 1935*a^6*b^4*c^2*d^8 - 570*a^7*b^3*c*d^9 + 263*a^8*b^2*d^10)*x^2 - 4*(10*b^10*c^9*d + 45*a*b^9*c^8*d^2 + 360*a^2*b^8*c^7*d^3 - 4620*a^3*b^7*c^6*d^4 + 15624*a^4*b^6*c^5*d^5 - 26460*a^5*b^5*c^4*d^6 + 25680*a^6*b^4*c^3*d^7 - 14535*a^7*b^3*c^2*d^8 + 4470*a^8*b^2*c*d^9 - 577*a^9*b*d^10)*x + 2520*(a^4*b^6*c^6*d^4 - 6*a^5*b^5*c^5*d^5 + 15*a^6*b^4*c^4*d^6 - 20*a^7*b^3*c^3*d^7 + 15*a^8*b^2*c^2*d^8 - 6*a^9*b*c*d^9 + a^10*d^10 + (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 + 4*(a*b^9*c^6*d^4 - 6*a^2*b^8*c^5*d^5 + 15*a^3*b^7*c^4*d^6 - 20*a^4*b^6*c^3*d^7 + 15*a^5*b^5*c^2*d^8 - 6*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 6*(a^2*b^8*c^6*d^4 - 6*a^3*b^7*c^5*d^5 + 15*a^4*b^6*c^4*d^6 - 20*a^5*b^5*c^3*d^7 + 15*a^6*b^4*c^2*d^8 - 6*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 4*(a^3*b^7*c^6*d^4 - 6*a^4*b^6*c^5*d^5 + 15*a^5*b^5*c^4*d^6 - 20*a^6*b^4*c^3*d^7 + 15*a^7*b^3*c^2*d^8 - 6*a^8*b^2*c*d^9 + a^9*b*d^10)*x)*log(b*x + a))/(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)","B",0
1317,1,1395,0,1.270052," ","integrate((d*x+c)^10/(b*x+a)^6,x, algorithm=""fricas"")","\frac{2 \, b^{10} d^{10} x^{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} + 5 \, {\left(5 \, b^{10} c d^{9} - a b^{9} d^{10}\right)} x^{9} + 15 \, {\left(10 \, b^{10} c^{2} d^{8} - 5 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 60 \, {\left(10 \, b^{10} c^{3} d^{7} - 10 \, a b^{9} c^{2} d^{8} + 5 \, a^{2} b^{8} c d^{9} - a^{3} b^{7} d^{10}\right)} x^{7} + 420 \, {\left(5 \, b^{10} c^{4} d^{6} - 10 \, a b^{9} c^{3} d^{7} + 10 \, 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} + {\left(10500 \, a b^{9} c^{4} d^{6} - 30000 \, a^{2} b^{8} c^{3} d^{7} + 35250 \, a^{3} b^{7} c^{2} d^{8} - 19375 \, a^{4} b^{6} c d^{9} + 4127 \, a^{5} b^{5} d^{10}\right)} x^{5} - 5 \, {\left(420 \, b^{10} c^{6} d^{4} - 2520 \, a b^{9} c^{5} d^{5} + 2100 \, a^{2} b^{8} c^{4} d^{6} + 4800 \, a^{3} b^{7} c^{3} d^{7} - 10050 \, a^{4} b^{6} c^{2} d^{8} + 6775 \, a^{5} b^{5} c d^{9} - 1607 \, a^{6} b^{4} d^{10}\right)} x^{4} - 10 \, {\left(60 \, b^{10} c^{7} d^{3} + 420 \, a b^{9} c^{6} d^{4} - 3780 \, a^{2} b^{8} c^{5} d^{5} + 8400 \, a^{3} b^{7} c^{4} d^{6} - 7800 \, a^{4} b^{6} c^{3} d^{7} + 2550 \, a^{5} b^{5} c^{2} d^{8} + 475 \, a^{6} b^{4} c d^{9} - 347 \, a^{7} b^{3} d^{10}\right)} x^{3} - 10 \, {\left(15 \, b^{10} c^{8} d^{2} + 60 \, a b^{9} c^{7} d^{3} + 420 \, a^{2} b^{8} c^{6} d^{4} - 4620 \, a^{3} b^{7} c^{5} d^{5} + 12600 \, a^{4} b^{6} c^{4} d^{6} - 16200 \, a^{5} b^{5} c^{3} d^{7} + 10950 \, a^{6} b^{4} c^{2} d^{8} - 3725 \, a^{7} b^{3} c d^{9} + 493 \, a^{8} b^{2} d^{10}\right)} x^{2} - 5 \, {\left(5 \, b^{10} c^{9} d + 15 \, a b^{9} c^{8} d^{2} + 60 \, a^{2} b^{8} c^{7} d^{3} + 420 \, a^{3} b^{7} c^{6} d^{4} - 5250 \, a^{4} b^{6} c^{5} d^{5} + 15750 \, a^{5} b^{5} c^{4} d^{6} - 22500 \, a^{6} b^{4} c^{3} d^{7} + 17250 \, a^{7} b^{3} c^{2} d^{8} - 6875 \, a^{8} b^{2} c d^{9} + 1123 \, a^{9} b d^{10}\right)} x + 2520 \, {\left(a^{5} b^{5} c^{5} d^{5} - 5 \, a^{6} b^{4} c^{4} d^{6} + 10 \, a^{7} b^{3} c^{3} d^{7} - 10 \, a^{8} b^{2} c^{2} d^{8} + 5 \, a^{9} b c d^{9} - a^{10} d^{10} + {\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} + 5 \, {\left(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} - 10 \, 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} + 10 \, {\left(a^{2} b^{8} c^{5} d^{5} - 5 \, a^{3} b^{7} c^{4} d^{6} + 10 \, a^{4} b^{6} c^{3} d^{7} - 10 \, 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} + 10 \, {\left(a^{3} b^{7} c^{5} d^{5} - 5 \, a^{4} b^{6} c^{4} d^{6} + 10 \, a^{5} b^{5} c^{3} d^{7} - 10 \, 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} + 5 \, {\left(a^{4} b^{6} c^{5} d^{5} - 5 \, a^{5} b^{5} c^{4} d^{6} + 10 \, a^{6} b^{4} c^{3} d^{7} - 10 \, a^{7} b^{3} c^{2} d^{8} + 5 \, a^{8} b^{2} c d^{9} - a^{9} b d^{10}\right)} x\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/10*(2*b^10*d^10*x^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 + 5*(5*b^10*c*d^9 - a*b^9*d^10)*x^9 + 15*(10*b^10*c^2*d^8 - 5*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 60*(10*b^10*c^3*d^7 - 10*a*b^9*c^2*d^8 + 5*a^2*b^8*c*d^9 - a^3*b^7*d^10)*x^7 + 420*(5*b^10*c^4*d^6 - 10*a*b^9*c^3*d^7 + 10*a^2*b^8*c^2*d^8 - 5*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + (10500*a*b^9*c^4*d^6 - 30000*a^2*b^8*c^3*d^7 + 35250*a^3*b^7*c^2*d^8 - 19375*a^4*b^6*c*d^9 + 4127*a^5*b^5*d^10)*x^5 - 5*(420*b^10*c^6*d^4 - 2520*a*b^9*c^5*d^5 + 2100*a^2*b^8*c^4*d^6 + 4800*a^3*b^7*c^3*d^7 - 10050*a^4*b^6*c^2*d^8 + 6775*a^5*b^5*c*d^9 - 1607*a^6*b^4*d^10)*x^4 - 10*(60*b^10*c^7*d^3 + 420*a*b^9*c^6*d^4 - 3780*a^2*b^8*c^5*d^5 + 8400*a^3*b^7*c^4*d^6 - 7800*a^4*b^6*c^3*d^7 + 2550*a^5*b^5*c^2*d^8 + 475*a^6*b^4*c*d^9 - 347*a^7*b^3*d^10)*x^3 - 10*(15*b^10*c^8*d^2 + 60*a*b^9*c^7*d^3 + 420*a^2*b^8*c^6*d^4 - 4620*a^3*b^7*c^5*d^5 + 12600*a^4*b^6*c^4*d^6 - 16200*a^5*b^5*c^3*d^7 + 10950*a^6*b^4*c^2*d^8 - 3725*a^7*b^3*c*d^9 + 493*a^8*b^2*d^10)*x^2 - 5*(5*b^10*c^9*d + 15*a*b^9*c^8*d^2 + 60*a^2*b^8*c^7*d^3 + 420*a^3*b^7*c^6*d^4 - 5250*a^4*b^6*c^5*d^5 + 15750*a^5*b^5*c^4*d^6 - 22500*a^6*b^4*c^3*d^7 + 17250*a^7*b^3*c^2*d^8 - 6875*a^8*b^2*c*d^9 + 1123*a^9*b*d^10)*x + 2520*(a^5*b^5*c^5*d^5 - 5*a^6*b^4*c^4*d^6 + 10*a^7*b^3*c^3*d^7 - 10*a^8*b^2*c^2*d^8 + 5*a^9*b*c*d^9 - a^10*d^10 + (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 + 5*(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 - 10*a^4*b^6*c^2*d^8 + 5*a^5*b^5*c*d^9 - a^6*b^4*d^10)*x^4 + 10*(a^2*b^8*c^5*d^5 - 5*a^3*b^7*c^4*d^6 + 10*a^4*b^6*c^3*d^7 - 10*a^5*b^5*c^2*d^8 + 5*a^6*b^4*c*d^9 - a^7*b^3*d^10)*x^3 + 10*(a^3*b^7*c^5*d^5 - 5*a^4*b^6*c^4*d^6 + 10*a^5*b^5*c^3*d^7 - 10*a^6*b^4*c^2*d^8 + 5*a^7*b^3*c*d^9 - a^8*b^2*d^10)*x^2 + 5*(a^4*b^6*c^5*d^5 - 5*a^5*b^5*c^4*d^6 + 10*a^6*b^4*c^3*d^7 - 10*a^7*b^3*c^2*d^8 + 5*a^8*b^2*c*d^9 - a^9*b*d^10)*x)*log(b*x + a))/(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)","B",0
1318,1,1386,0,1.227501," ","integrate((d*x+c)^10/(b*x+a)^7,x, algorithm=""fricas"")","\frac{3 \, b^{10} d^{10} x^{10} - 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} + 10 \, {\left(4 \, b^{10} c d^{9} - a b^{9} d^{10}\right)} x^{9} + 45 \, {\left(6 \, b^{10} c^{2} d^{8} - 4 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 360 \, {\left(4 \, b^{10} c^{3} d^{7} - 6 \, a b^{9} c^{2} d^{8} + 4 \, a^{2} b^{8} c d^{9} - a^{3} b^{7} d^{10}\right)} x^{7} + {\left(8640 \, a b^{9} c^{3} d^{7} - 18630 \, a^{2} b^{8} c^{2} d^{8} + 14660 \, a^{3} b^{7} c d^{9} - 4043 \, a^{4} b^{6} d^{10}\right)} x^{6} - 6 \, {\left(504 \, b^{10} c^{5} d^{5} - 2520 \, a b^{9} c^{4} d^{6} + 1440 \, a^{2} b^{8} c^{3} d^{7} + 3510 \, a^{3} b^{7} c^{2} d^{8} - 4580 \, a^{4} b^{6} c d^{9} + 1523 \, a^{5} b^{5} d^{10}\right)} x^{5} - 15 \, {\left(84 \, b^{10} c^{6} d^{4} + 504 \, a b^{9} c^{5} d^{5} - 3780 \, a^{2} b^{8} c^{4} d^{6} + 6480 \, a^{3} b^{7} c^{3} d^{7} - 4050 \, a^{4} b^{6} c^{2} d^{8} + 460 \, a^{5} b^{5} c d^{9} + 263 \, a^{6} b^{4} d^{10}\right)} x^{4} - 20 \, {\left(24 \, b^{10} c^{7} d^{3} + 84 \, a b^{9} c^{6} d^{4} + 504 \, a^{2} b^{8} c^{5} d^{5} - 4620 \, a^{3} b^{7} c^{4} d^{6} + 9840 \, a^{4} b^{6} c^{3} d^{7} - 9090 \, a^{5} b^{5} c^{2} d^{8} + 3820 \, a^{6} b^{4} c d^{9} - 577 \, a^{7} b^{3} d^{10}\right)} x^{3} - 15 \, {\left(9 \, b^{10} c^{8} d^{2} + 24 \, a b^{9} c^{7} d^{3} + 84 \, a^{2} b^{8} c^{6} d^{4} + 504 \, a^{3} b^{7} c^{5} d^{5} - 5250 \, a^{4} b^{6} c^{4} d^{6} + 12360 \, a^{5} b^{5} c^{3} d^{7} - 12870 \, a^{6} b^{4} c^{2} d^{8} + 6340 \, a^{7} b^{3} c d^{9} - 1207 \, 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} + 14376 \, a^{6} b^{4} c^{3} d^{7} - 15894 \, a^{7} b^{3} c^{2} d^{8} + 8356 \, a^{8} b^{2} c d^{9} - 1711 \, a^{9} b d^{10}\right)} x + 2520 \, {\left(a^{6} b^{4} c^{4} d^{6} - 4 \, a^{7} b^{3} c^{3} d^{7} + 6 \, a^{8} b^{2} c^{2} d^{8} - 4 \, a^{9} b c d^{9} + a^{10} d^{10} + {\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} + 6 \, {\left(a b^{9} c^{4} d^{6} - 4 \, a^{2} b^{8} c^{3} d^{7} + 6 \, 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} + 15 \, {\left(a^{2} b^{8} c^{4} d^{6} - 4 \, a^{3} b^{7} c^{3} d^{7} + 6 \, 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} + 20 \, {\left(a^{3} b^{7} c^{4} d^{6} - 4 \, a^{4} b^{6} c^{3} d^{7} + 6 \, 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} + 15 \, {\left(a^{4} b^{6} c^{4} d^{6} - 4 \, a^{5} b^{5} c^{3} d^{7} + 6 \, 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} + 6 \, {\left(a^{5} b^{5} c^{4} d^{6} - 4 \, a^{6} b^{4} c^{3} d^{7} + 6 \, a^{7} b^{3} c^{2} d^{8} - 4 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/12*(3*b^10*d^10*x^10 - 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 + 10*(4*b^10*c*d^9 - a*b^9*d^10)*x^9 + 45*(6*b^10*c^2*d^8 - 4*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 360*(4*b^10*c^3*d^7 - 6*a*b^9*c^2*d^8 + 4*a^2*b^8*c*d^9 - a^3*b^7*d^10)*x^7 + (8640*a*b^9*c^3*d^7 - 18630*a^2*b^8*c^2*d^8 + 14660*a^3*b^7*c*d^9 - 4043*a^4*b^6*d^10)*x^6 - 6*(504*b^10*c^5*d^5 - 2520*a*b^9*c^4*d^6 + 1440*a^2*b^8*c^3*d^7 + 3510*a^3*b^7*c^2*d^8 - 4580*a^4*b^6*c*d^9 + 1523*a^5*b^5*d^10)*x^5 - 15*(84*b^10*c^6*d^4 + 504*a*b^9*c^5*d^5 - 3780*a^2*b^8*c^4*d^6 + 6480*a^3*b^7*c^3*d^7 - 4050*a^4*b^6*c^2*d^8 + 460*a^5*b^5*c*d^9 + 263*a^6*b^4*d^10)*x^4 - 20*(24*b^10*c^7*d^3 + 84*a*b^9*c^6*d^4 + 504*a^2*b^8*c^5*d^5 - 4620*a^3*b^7*c^4*d^6 + 9840*a^4*b^6*c^3*d^7 - 9090*a^5*b^5*c^2*d^8 + 3820*a^6*b^4*c*d^9 - 577*a^7*b^3*d^10)*x^3 - 15*(9*b^10*c^8*d^2 + 24*a*b^9*c^7*d^3 + 84*a^2*b^8*c^6*d^4 + 504*a^3*b^7*c^5*d^5 - 5250*a^4*b^6*c^4*d^6 + 12360*a^5*b^5*c^3*d^7 - 12870*a^6*b^4*c^2*d^8 + 6340*a^7*b^3*c*d^9 - 1207*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 + 14376*a^6*b^4*c^3*d^7 - 15894*a^7*b^3*c^2*d^8 + 8356*a^8*b^2*c*d^9 - 1711*a^9*b*d^10)*x + 2520*(a^6*b^4*c^4*d^6 - 4*a^7*b^3*c^3*d^7 + 6*a^8*b^2*c^2*d^8 - 4*a^9*b*c*d^9 + a^10*d^10 + (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 + 6*(a*b^9*c^4*d^6 - 4*a^2*b^8*c^3*d^7 + 6*a^3*b^7*c^2*d^8 - 4*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 15*(a^2*b^8*c^4*d^6 - 4*a^3*b^7*c^3*d^7 + 6*a^4*b^6*c^2*d^8 - 4*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 20*(a^3*b^7*c^4*d^6 - 4*a^4*b^6*c^3*d^7 + 6*a^5*b^5*c^2*d^8 - 4*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 15*(a^4*b^6*c^4*d^6 - 4*a^5*b^5*c^3*d^7 + 6*a^6*b^4*c^2*d^8 - 4*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 6*(a^5*b^5*c^4*d^6 - 4*a^6*b^4*c^3*d^7 + 6*a^7*b^3*c^2*d^8 - 4*a^8*b^2*c*d^9 + a^9*b*d^10)*x)*log(b*x + a))/(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)","B",0
1319,1,1362,0,1.398060," ","integrate((d*x+c)^10/(b*x+a)^8,x, algorithm=""fricas"")","\frac{7 \, b^{10} d^{10} x^{10} - 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} + 35 \, {\left(3 \, b^{10} c d^{9} - a b^{9} d^{10}\right)} x^{9} + 315 \, {\left(3 \, b^{10} c^{2} d^{8} - 3 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 49 \, {\left(135 \, a b^{9} c^{2} d^{8} - 195 \, a^{2} b^{8} c d^{9} + 77 \, a^{3} b^{7} d^{10}\right)} x^{7} - 49 \, {\left(90 \, b^{10} c^{4} d^{6} - 360 \, a b^{9} c^{3} d^{7} + 135 \, a^{2} b^{8} c^{2} d^{8} + 285 \, a^{3} b^{7} c d^{9} - 179 \, a^{4} b^{6} d^{10}\right)} x^{6} - 147 \, {\left(18 \, b^{10} c^{5} d^{5} + 90 \, a b^{9} c^{4} d^{6} - 540 \, a^{2} b^{8} c^{3} d^{7} + 675 \, a^{3} b^{7} c^{2} d^{8} - 255 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} x^{5} - 245 \, {\left(6 \, b^{10} c^{6} d^{4} + 18 \, a b^{9} c^{5} d^{5} + 90 \, a^{2} b^{8} c^{4} d^{6} - 660 \, a^{3} b^{7} c^{3} d^{7} + 1035 \, a^{4} b^{6} c^{2} d^{8} - 615 \, a^{5} b^{5} c d^{9} + 121 \, a^{6} b^{4} d^{10}\right)} x^{4} - 35 \, {\left(18 \, b^{10} c^{7} d^{3} + 42 \, a b^{9} c^{6} d^{4} + 126 \, a^{2} b^{8} c^{5} d^{5} + 630 \, a^{3} b^{7} c^{4} d^{6} - 5250 \, a^{4} b^{6} c^{3} d^{7} + 9135 \, a^{5} b^{5} c^{2} d^{8} - 6195 \, a^{6} b^{4} c d^{9} + 1477 \, a^{7} b^{3} d^{10}\right)} x^{3} - 21 \, {\left(9 \, b^{10} c^{8} d^{2} + 18 \, a b^{9} c^{7} d^{3} + 42 \, a^{2} b^{8} c^{6} d^{4} + 126 \, a^{3} b^{7} c^{5} d^{5} + 630 \, a^{4} b^{6} c^{4} d^{6} - 5754 \, a^{5} b^{5} c^{3} d^{7} + 10647 \, a^{6} b^{4} c^{2} d^{8} - 7707 \, a^{7} b^{3} c d^{9} + 1981 \, 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} + 11907 \, a^{7} b^{3} c^{2} d^{8} - 8967 \, a^{8} b^{2} c d^{9} + 2401 \, a^{9} b d^{10}\right)} x + 2520 \, {\left(a^{7} b^{3} c^{3} d^{7} - 3 \, a^{8} b^{2} c^{2} d^{8} + 3 \, a^{9} b c d^{9} - a^{10} d^{10} + {\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} + 7 \, {\left(a b^{9} c^{3} d^{7} - 3 \, 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} + 21 \, {\left(a^{2} b^{8} c^{3} d^{7} - 3 \, 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} + 35 \, {\left(a^{3} b^{7} c^{3} d^{7} - 3 \, 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} + 35 \, {\left(a^{4} b^{6} c^{3} d^{7} - 3 \, 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} + 21 \, {\left(a^{5} b^{5} c^{3} d^{7} - 3 \, 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} + 7 \, {\left(a^{6} b^{4} c^{3} d^{7} - 3 \, a^{7} b^{3} c^{2} d^{8} + 3 \, a^{8} b^{2} c d^{9} - a^{9} b d^{10}\right)} x\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/21*(7*b^10*d^10*x^10 - 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 + 35*(3*b^10*c*d^9 - a*b^9*d^10)*x^9 + 315*(3*b^10*c^2*d^8 - 3*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 49*(135*a*b^9*c^2*d^8 - 195*a^2*b^8*c*d^9 + 77*a^3*b^7*d^10)*x^7 - 49*(90*b^10*c^4*d^6 - 360*a*b^9*c^3*d^7 + 135*a^2*b^8*c^2*d^8 + 285*a^3*b^7*c*d^9 - 179*a^4*b^6*d^10)*x^6 - 147*(18*b^10*c^5*d^5 + 90*a*b^9*c^4*d^6 - 540*a^2*b^8*c^3*d^7 + 675*a^3*b^7*c^2*d^8 - 255*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 - 245*(6*b^10*c^6*d^4 + 18*a*b^9*c^5*d^5 + 90*a^2*b^8*c^4*d^6 - 660*a^3*b^7*c^3*d^7 + 1035*a^4*b^6*c^2*d^8 - 615*a^5*b^5*c*d^9 + 121*a^6*b^4*d^10)*x^4 - 35*(18*b^10*c^7*d^3 + 42*a*b^9*c^6*d^4 + 126*a^2*b^8*c^5*d^5 + 630*a^3*b^7*c^4*d^6 - 5250*a^4*b^6*c^3*d^7 + 9135*a^5*b^5*c^2*d^8 - 6195*a^6*b^4*c*d^9 + 1477*a^7*b^3*d^10)*x^3 - 21*(9*b^10*c^8*d^2 + 18*a*b^9*c^7*d^3 + 42*a^2*b^8*c^6*d^4 + 126*a^3*b^7*c^5*d^5 + 630*a^4*b^6*c^4*d^6 - 5754*a^5*b^5*c^3*d^7 + 10647*a^6*b^4*c^2*d^8 - 7707*a^7*b^3*c*d^9 + 1981*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 + 11907*a^7*b^3*c^2*d^8 - 8967*a^8*b^2*c*d^9 + 2401*a^9*b*d^10)*x + 2520*(a^7*b^3*c^3*d^7 - 3*a^8*b^2*c^2*d^8 + 3*a^9*b*c*d^9 - a^10*d^10 + (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 + 7*(a*b^9*c^3*d^7 - 3*a^2*b^8*c^2*d^8 + 3*a^3*b^7*c*d^9 - a^4*b^6*d^10)*x^6 + 21*(a^2*b^8*c^3*d^7 - 3*a^3*b^7*c^2*d^8 + 3*a^4*b^6*c*d^9 - a^5*b^5*d^10)*x^5 + 35*(a^3*b^7*c^3*d^7 - 3*a^4*b^6*c^2*d^8 + 3*a^5*b^5*c*d^9 - a^6*b^4*d^10)*x^4 + 35*(a^4*b^6*c^3*d^7 - 3*a^5*b^5*c^2*d^8 + 3*a^6*b^4*c*d^9 - a^7*b^3*d^10)*x^3 + 21*(a^5*b^5*c^3*d^7 - 3*a^6*b^4*c^2*d^8 + 3*a^7*b^3*c*d^9 - a^8*b^2*d^10)*x^2 + 7*(a^6*b^4*c^3*d^7 - 3*a^7*b^3*c^2*d^8 + 3*a^8*b^2*c*d^9 - a^9*b*d^10)*x)*log(b*x + a))/(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)","B",0
1320,1,1296,0,1.386668," ","integrate((d*x+c)^10/(b*x+a)^9,x, algorithm=""fricas"")","\frac{28 \, b^{10} d^{10} x^{10} - 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} + 280 \, {\left(2 \, b^{10} c d^{9} - a b^{9} d^{10}\right)} x^{9} + 112 \, {\left(40 \, a b^{9} c d^{9} - 29 \, a^{2} b^{8} d^{10}\right)} x^{8} - 448 \, {\left(15 \, b^{10} c^{3} d^{7} - 45 \, a b^{9} c^{2} d^{8} + 10 \, a^{2} b^{8} c d^{9} + 13 \, a^{3} b^{7} d^{10}\right)} x^{7} - 392 \, {\left(15 \, b^{10} c^{4} d^{6} + 60 \, a b^{9} c^{3} d^{7} - 270 \, a^{2} b^{8} c^{2} d^{8} + 220 \, a^{3} b^{7} c d^{9} - 38 \, a^{4} b^{6} d^{10}\right)} x^{6} - 784 \, {\left(6 \, b^{10} c^{5} d^{5} + 15 \, a b^{9} c^{4} d^{6} + 60 \, a^{2} b^{8} c^{3} d^{7} - 330 \, a^{3} b^{7} c^{2} d^{8} + 340 \, a^{4} b^{6} c d^{9} - 98 \, a^{5} b^{5} d^{10}\right)} x^{5} - 980 \, {\left(3 \, b^{10} c^{6} d^{4} + 6 \, a b^{9} c^{5} d^{5} + 15 \, a^{2} b^{8} c^{4} d^{6} + 60 \, a^{3} b^{7} c^{3} d^{7} - 375 \, a^{4} b^{6} c^{2} d^{8} + 430 \, a^{5} b^{5} c d^{9} - 143 \, a^{6} b^{4} d^{10}\right)} x^{4} - 112 \, {\left(12 \, b^{10} c^{7} d^{3} + 21 \, a b^{9} c^{6} d^{4} + 42 \, a^{2} b^{8} c^{5} d^{5} + 105 \, a^{3} b^{7} c^{4} d^{6} + 420 \, a^{4} b^{6} c^{3} d^{7} - 2877 \, a^{5} b^{5} c^{2} d^{8} + 3514 \, a^{6} b^{4} c d^{9} - 1253 \, a^{7} b^{3} d^{10}\right)} x^{3} - 28 \, {\left(15 \, b^{10} c^{8} d^{2} + 24 \, a b^{9} c^{7} d^{3} + 42 \, a^{2} b^{8} c^{6} d^{4} + 84 \, a^{3} b^{7} c^{5} d^{5} + 210 \, a^{4} b^{6} c^{4} d^{6} + 840 \, a^{5} b^{5} c^{3} d^{7} - 6174 \, a^{6} b^{4} c^{2} d^{8} + 7868 \, a^{7} b^{3} c d^{9} - 2926 \, 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} + 8588 \, a^{8} b^{2} c d^{9} - 3286 \, a^{9} b d^{10}\right)} x + 2520 \, {\left(a^{8} b^{2} c^{2} d^{8} - 2 \, a^{9} b c d^{9} + a^{10} d^{10} + {\left(b^{10} c^{2} d^{8} - 2 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 8 \, {\left(a b^{9} c^{2} d^{8} - 2 \, a^{2} b^{8} c d^{9} + a^{3} b^{7} d^{10}\right)} x^{7} + 28 \, {\left(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} + 56 \, {\left(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} + 70 \, {\left(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} + 56 \, {\left(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} + 28 \, {\left(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} + 8 \, {\left(a^{7} b^{3} c^{2} d^{8} - 2 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} x\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/56*(28*b^10*d^10*x^10 - 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 + 280*(2*b^10*c*d^9 - a*b^9*d^10)*x^9 + 112*(40*a*b^9*c*d^9 - 29*a^2*b^8*d^10)*x^8 - 448*(15*b^10*c^3*d^7 - 45*a*b^9*c^2*d^8 + 10*a^2*b^8*c*d^9 + 13*a^3*b^7*d^10)*x^7 - 392*(15*b^10*c^4*d^6 + 60*a*b^9*c^3*d^7 - 270*a^2*b^8*c^2*d^8 + 220*a^3*b^7*c*d^9 - 38*a^4*b^6*d^10)*x^6 - 784*(6*b^10*c^5*d^5 + 15*a*b^9*c^4*d^6 + 60*a^2*b^8*c^3*d^7 - 330*a^3*b^7*c^2*d^8 + 340*a^4*b^6*c*d^9 - 98*a^5*b^5*d^10)*x^5 - 980*(3*b^10*c^6*d^4 + 6*a*b^9*c^5*d^5 + 15*a^2*b^8*c^4*d^6 + 60*a^3*b^7*c^3*d^7 - 375*a^4*b^6*c^2*d^8 + 430*a^5*b^5*c*d^9 - 143*a^6*b^4*d^10)*x^4 - 112*(12*b^10*c^7*d^3 + 21*a*b^9*c^6*d^4 + 42*a^2*b^8*c^5*d^5 + 105*a^3*b^7*c^4*d^6 + 420*a^4*b^6*c^3*d^7 - 2877*a^5*b^5*c^2*d^8 + 3514*a^6*b^4*c*d^9 - 1253*a^7*b^3*d^10)*x^3 - 28*(15*b^10*c^8*d^2 + 24*a*b^9*c^7*d^3 + 42*a^2*b^8*c^6*d^4 + 84*a^3*b^7*c^5*d^5 + 210*a^4*b^6*c^4*d^6 + 840*a^5*b^5*c^3*d^7 - 6174*a^6*b^4*c^2*d^8 + 7868*a^7*b^3*c*d^9 - 2926*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 + 8588*a^8*b^2*c*d^9 - 3286*a^9*b*d^10)*x + 2520*(a^8*b^2*c^2*d^8 - 2*a^9*b*c*d^9 + a^10*d^10 + (b^10*c^2*d^8 - 2*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 8*(a*b^9*c^2*d^8 - 2*a^2*b^8*c*d^9 + a^3*b^7*d^10)*x^7 + 28*(a^2*b^8*c^2*d^8 - 2*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 56*(a^3*b^7*c^2*d^8 - 2*a^4*b^6*c*d^9 + a^5*b^5*d^10)*x^5 + 70*(a^4*b^6*c^2*d^8 - 2*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 56*(a^5*b^5*c^2*d^8 - 2*a^6*b^4*c*d^9 + a^7*b^3*d^10)*x^3 + 28*(a^6*b^4*c^2*d^8 - 2*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 8*(a^7*b^3*c^2*d^8 - 2*a^8*b^2*c*d^9 + a^9*b*d^10)*x)*log(b*x + a))/(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)","B",0
1321,1,1216,0,1.227941," ","integrate((d*x+c)^10/(b*x+a)^10,x, algorithm=""fricas"")","\frac{252 \, b^{10} d^{10} x^{10} + 2268 \, a b^{9} d^{10} x^{9} - 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} - 2268 \, {\left(5 \, b^{10} c^{2} d^{8} - 10 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} - 3024 \, {\left(5 \, b^{10} c^{3} d^{7} + 15 \, a b^{9} c^{2} d^{8} - 45 \, a^{2} b^{8} c d^{9} + 18 \, a^{3} b^{7} d^{10}\right)} x^{7} - 3528 \, {\left(5 \, b^{10} c^{4} d^{6} + 10 \, a b^{9} c^{3} d^{7} + 30 \, a^{2} b^{8} c^{2} d^{8} - 110 \, a^{3} b^{7} c d^{9} + 56 \, 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} + 71 \, 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} + 83 \, 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} + 651 \, 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} + 1422 \, 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} + 4581 \, a^{9} b d^{10}\right)} x + 2520 \, {\left(a^{9} b c d^{9} - a^{10} d^{10} + {\left(b^{10} c d^{9} - a b^{9} d^{10}\right)} x^{9} + 9 \, {\left(a b^{9} c d^{9} - a^{2} b^{8} d^{10}\right)} x^{8} + 36 \, {\left(a^{2} b^{8} c d^{9} - a^{3} b^{7} d^{10}\right)} x^{7} + 84 \, {\left(a^{3} b^{7} c d^{9} - a^{4} b^{6} d^{10}\right)} x^{6} + 126 \, {\left(a^{4} b^{6} c d^{9} - a^{5} b^{5} d^{10}\right)} x^{5} + 126 \, {\left(a^{5} b^{5} c d^{9} - a^{6} b^{4} d^{10}\right)} x^{4} + 84 \, {\left(a^{6} b^{4} c d^{9} - a^{7} b^{3} d^{10}\right)} x^{3} + 36 \, {\left(a^{7} b^{3} c d^{9} - a^{8} b^{2} d^{10}\right)} x^{2} + 9 \, {\left(a^{8} b^{2} c d^{9} - a^{9} b d^{10}\right)} x\right)} \log\left(b x + a\right)}{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)}}"," ",0,"1/252*(252*b^10*d^10*x^10 + 2268*a*b^9*d^10*x^9 - 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 - 2268*(5*b^10*c^2*d^8 - 10*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 - 3024*(5*b^10*c^3*d^7 + 15*a*b^9*c^2*d^8 - 45*a^2*b^8*c*d^9 + 18*a^3*b^7*d^10)*x^7 - 3528*(5*b^10*c^4*d^6 + 10*a*b^9*c^3*d^7 + 30*a^2*b^8*c^2*d^8 - 110*a^3*b^7*c*d^9 + 56*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 + 71*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 + 83*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 + 651*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 + 1422*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 + 4581*a^9*b*d^10)*x + 2520*(a^9*b*c*d^9 - a^10*d^10 + (b^10*c*d^9 - a*b^9*d^10)*x^9 + 9*(a*b^9*c*d^9 - a^2*b^8*d^10)*x^8 + 36*(a^2*b^8*c*d^9 - a^3*b^7*d^10)*x^7 + 84*(a^3*b^7*c*d^9 - a^4*b^6*d^10)*x^6 + 126*(a^4*b^6*c*d^9 - a^5*b^5*d^10)*x^5 + 126*(a^5*b^5*c*d^9 - a^6*b^4*d^10)*x^4 + 84*(a^6*b^4*c*d^9 - a^7*b^3*d^10)*x^3 + 36*(a^7*b^3*c*d^9 - a^8*b^2*d^10)*x^2 + 9*(a^8*b^2*c*d^9 - a^9*b*d^10)*x)*log(b*x + a))/(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)","B",0
1322,1,1107,0,1.219539," ","integrate((d*x+c)^10/(b*x+a)^11,x, algorithm=""fricas"")","-\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^{10} d^{10} x^{10} + 10 \, a b^{9} d^{10} x^{9} + 45 \, a^{2} b^{8} d^{10} x^{8} + 120 \, a^{3} b^{7} d^{10} x^{7} + 210 \, a^{4} b^{6} d^{10} x^{6} + 252 \, a^{5} b^{5} d^{10} x^{5} + 210 \, a^{6} b^{4} d^{10} x^{4} + 120 \, a^{7} b^{3} d^{10} x^{3} + 45 \, a^{8} b^{2} d^{10} x^{2} + 10 \, a^{9} b d^{10} x + a^{10} d^{10}\right)} \log\left(b x + a\right)}{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)}}"," ",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 - 2520*(b^10*d^10*x^10 + 10*a*b^9*d^10*x^9 + 45*a^2*b^8*d^10*x^8 + 120*a^3*b^7*d^10*x^7 + 210*a^4*b^6*d^10*x^6 + 252*a^5*b^5*d^10*x^5 + 210*a^6*b^4*d^10*x^4 + 120*a^7*b^3*d^10*x^3 + 45*a^8*b^2*d^10*x^2 + 10*a^9*b*d^10*x + a^10*d^10)*log(b*x + a))/(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)","B",0
1323,1,920,0,1.349400," ","integrate((d*x+c)^10/(b*x+a)^12,x, algorithm=""fricas"")","-\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
1324,1,986,0,1.291061," ","integrate((d*x+c)^10/(b*x+a)^13,x, algorithm=""fricas"")","-\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
1325,1,997,0,1.257755," ","integrate((d*x+c)^10/(b*x+a)^14,x, algorithm=""fricas"")","-\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
1326,1,1008,0,1.315947," ","integrate((d*x+c)^10/(b*x+a)^15,x, algorithm=""fricas"")","-\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
1327,1,1019,0,1.122778," ","integrate((d*x+c)^10/(b*x+a)^16,x, algorithm=""fricas"")","-\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
1328,1,1030,0,1.260940," ","integrate((d*x+c)^10/(b*x+a)^17,x, algorithm=""fricas"")","-\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
1329,1,1041,0,1.313668," ","integrate((d*x+c)^10/(b*x+a)^18,x, algorithm=""fricas"")","-\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
1330,1,1052,0,1.190724," ","integrate((d*x+c)^10/(b*x+a)^19,x, algorithm=""fricas"")","-\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
1331,1,1063,0,1.302545," ","integrate((d*x+c)^10/(b*x+a)^20,x, algorithm=""fricas"")","-\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
1332,1,1074,0,1.232954," ","integrate((d*x+c)^10/(b*x+a)^21,x, algorithm=""fricas"")","-\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
1333,1,1085,0,1.285949," ","integrate((d*x+c)^10/(b*x+a)^22,x, algorithm=""fricas"")","-\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
1334,1,259,0,1.089782," ","integrate((b*x+a)^5/(d*x+c),x, algorithm=""fricas"")","\frac{12 \, b^{5} d^{5} x^{5} - 15 \, {\left(b^{5} c d^{4} - 5 \, a b^{4} d^{5}\right)} x^{4} + 20 \, {\left(b^{5} c^{2} d^{3} - 5 \, a b^{4} c d^{4} + 10 \, a^{2} b^{3} d^{5}\right)} x^{3} - 30 \, {\left(b^{5} c^{3} d^{2} - 5 \, a b^{4} c^{2} d^{3} + 10 \, a^{2} b^{3} c d^{4} - 10 \, a^{3} b^{2} d^{5}\right)} x^{2} + 60 \, {\left(b^{5} c^{4} d - 5 \, a b^{4} c^{3} d^{2} + 10 \, a^{2} b^{3} c^{2} d^{3} - 10 \, a^{3} b^{2} c d^{4} + 5 \, a^{4} b d^{5}\right)} x - 60 \, {\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)}{60 \, d^{6}}"," ",0,"1/60*(12*b^5*d^5*x^5 - 15*(b^5*c*d^4 - 5*a*b^4*d^5)*x^4 + 20*(b^5*c^2*d^3 - 5*a*b^4*c*d^4 + 10*a^2*b^3*d^5)*x^3 - 30*(b^5*c^3*d^2 - 5*a*b^4*c^2*d^3 + 10*a^2*b^3*c*d^4 - 10*a^3*b^2*d^5)*x^2 + 60*(b^5*c^4*d - 5*a*b^4*c^3*d^2 + 10*a^2*b^3*c^2*d^3 - 10*a^3*b^2*c*d^4 + 5*a^4*b*d^5)*x - 60*(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
1335,1,179,0,1.193426," ","integrate((b*x+a)^4/(d*x+c),x, algorithm=""fricas"")","\frac{3 \, b^{4} d^{4} x^{4} - 4 \, {\left(b^{4} c d^{3} - 4 \, a b^{3} d^{4}\right)} x^{3} + 6 \, {\left(b^{4} c^{2} d^{2} - 4 \, a b^{3} c d^{3} + 6 \, a^{2} b^{2} d^{4}\right)} x^{2} - 12 \, {\left(b^{4} c^{3} d - 4 \, a b^{3} c^{2} d^{2} + 6 \, a^{2} b^{2} c d^{3} - 4 \, a^{3} b d^{4}\right)} x + 12 \, {\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)}{12 \, d^{5}}"," ",0,"1/12*(3*b^4*d^4*x^4 - 4*(b^4*c*d^3 - 4*a*b^3*d^4)*x^3 + 6*(b^4*c^2*d^2 - 4*a*b^3*c*d^3 + 6*a^2*b^2*d^4)*x^2 - 12*(b^4*c^3*d - 4*a*b^3*c^2*d^2 + 6*a^2*b^2*c*d^3 - 4*a^3*b*d^4)*x + 12*(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
1336,1,115,0,0.667347," ","integrate((b*x+a)^3/(d*x+c),x, algorithm=""fricas"")","\frac{2 \, b^{3} d^{3} x^{3} - 3 \, {\left(b^{3} c d^{2} - 3 \, a b^{2} d^{3}\right)} x^{2} + 6 \, {\left(b^{3} c^{2} d - 3 \, a b^{2} c d^{2} + 3 \, a^{2} b d^{3}\right)} x - 6 \, {\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)}{6 \, d^{4}}"," ",0,"1/6*(2*b^3*d^3*x^3 - 3*(b^3*c*d^2 - 3*a*b^2*d^3)*x^2 + 6*(b^3*c^2*d - 3*a*b^2*c*d^2 + 3*a^2*b*d^3)*x - 6*(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
1337,1,62,0,1.482619," ","integrate((b*x+a)^2/(d*x+c),x, algorithm=""fricas"")","\frac{b^{2} d^{2} x^{2} - 2 \, {\left(b^{2} c d - 2 \, a b d^{2}\right)} x + 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left(d x + c\right)}{2 \, d^{3}}"," ",0,"1/2*(b^2*d^2*x^2 - 2*(b^2*c*d - 2*a*b*d^2)*x + 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(d*x + c))/d^3","A",0
1338,1,25,0,0.928592," ","integrate((b*x+a)/(d*x+c),x, algorithm=""fricas"")","\frac{b d x - {\left(b c - a d\right)} \log\left(d x + c\right)}{d^{2}}"," ",0,"(b*d*x - (b*c - a*d)*log(d*x + c))/d^2","A",0
1339,1,10,0,0.900871," ","integrate(1/(d*x+c),x, algorithm=""fricas"")","\frac{\log\left(d x + c\right)}{d}"," ",0,"log(d*x + c)/d","A",0
1340,1,26,0,1.331444," ","integrate(1/(b*x+a)/(d*x+c),x, algorithm=""fricas"")","\frac{\log\left(b x + a\right) - \log\left(d x + c\right)}{b c - a d}"," ",0,"(log(b*x + a) - log(d*x + c))/(b*c - a*d)","A",0
1341,1,93,0,1.265440," ","integrate(1/(b*x+a)^2/(d*x+c),x, algorithm=""fricas"")","-\frac{b c - a d + {\left(b d x + a d\right)} \log\left(b x + a\right) - {\left(b d x + a d\right)} \log\left(d x + c\right)}{a b^{2} c^{2} - 2 \, a^{2} b c d + a^{3} d^{2} + {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} x}"," ",0,"-(b*c - a*d + (b*d*x + a*d)*log(b*x + a) - (b*d*x + a*d)*log(d*x + c))/(a*b^2*c^2 - 2*a^2*b*c*d + a^3*d^2 + (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*x)","A",0
1342,1,242,0,1.363946," ","integrate(1/(b*x+a)^3/(d*x+c),x, algorithm=""fricas"")","-\frac{b^{2} c^{2} - 4 \, a b c d + 3 \, a^{2} d^{2} - 2 \, {\left(b^{2} c d - a b d^{2}\right)} x - 2 \, {\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2}\right)} \log\left(b x + a\right) + 2 \, {\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2}\right)} \log\left(d x + c\right)}{2 \, {\left(a^{2} b^{3} c^{3} - 3 \, a^{3} b^{2} c^{2} d + 3 \, a^{4} b c d^{2} - a^{5} d^{3} + {\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)} x^{2} + 2 \, {\left(a b^{4} c^{3} - 3 \, a^{2} b^{3} c^{2} d + 3 \, a^{3} b^{2} c d^{2} - a^{4} b d^{3}\right)} x\right)}}"," ",0,"-1/2*(b^2*c^2 - 4*a*b*c*d + 3*a^2*d^2 - 2*(b^2*c*d - a*b*d^2)*x - 2*(b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2)*log(b*x + a) + 2*(b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2)*log(d*x + c))/(a^2*b^3*c^3 - 3*a^3*b^2*c^2*d + 3*a^4*b*c*d^2 - a^5*d^3 + (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)*x^2 + 2*(a*b^4*c^3 - 3*a^2*b^3*c^2*d + 3*a^3*b^2*c*d^2 - a^4*b*d^3)*x)","B",0
1343,1,373,0,1.210898," ","integrate((b*x+a)^5/(d*x+c)^2,x, algorithm=""fricas"")","\frac{3 \, b^{5} d^{5} x^{5} + 12 \, b^{5} c^{5} - 60 \, a b^{4} c^{4} d + 120 \, a^{2} b^{3} c^{3} d^{2} - 120 \, a^{3} b^{2} c^{2} d^{3} + 60 \, a^{4} b c d^{4} - 12 \, a^{5} d^{5} - 5 \, {\left(b^{5} c d^{4} - 4 \, a b^{4} d^{5}\right)} x^{4} + 10 \, {\left(b^{5} c^{2} d^{3} - 4 \, a b^{4} c d^{4} + 6 \, a^{2} b^{3} d^{5}\right)} x^{3} - 30 \, {\left(b^{5} c^{3} d^{2} - 4 \, a b^{4} c^{2} d^{3} + 6 \, a^{2} b^{3} c d^{4} - 4 \, a^{3} b^{2} d^{5}\right)} x^{2} - 12 \, {\left(4 \, b^{5} c^{4} d - 15 \, a b^{4} c^{3} d^{2} + 20 \, a^{2} b^{3} c^{2} d^{3} - 10 \, a^{3} b^{2} c d^{4}\right)} x + 60 \, {\left(b^{5} c^{5} - 4 \, a b^{4} c^{4} d + 6 \, a^{2} b^{3} c^{3} d^{2} - 4 \, a^{3} b^{2} c^{2} d^{3} + a^{4} b c d^{4} + {\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\right)} \log\left(d x + c\right)}{12 \, {\left(d^{7} x + c d^{6}\right)}}"," ",0,"1/12*(3*b^5*d^5*x^5 + 12*b^5*c^5 - 60*a*b^4*c^4*d + 120*a^2*b^3*c^3*d^2 - 120*a^3*b^2*c^2*d^3 + 60*a^4*b*c*d^4 - 12*a^5*d^5 - 5*(b^5*c*d^4 - 4*a*b^4*d^5)*x^4 + 10*(b^5*c^2*d^3 - 4*a*b^4*c*d^4 + 6*a^2*b^3*d^5)*x^3 - 30*(b^5*c^3*d^2 - 4*a*b^4*c^2*d^3 + 6*a^2*b^3*c*d^4 - 4*a^3*b^2*d^5)*x^2 - 12*(4*b^5*c^4*d - 15*a*b^4*c^3*d^2 + 20*a^2*b^3*c^2*d^3 - 10*a^3*b^2*c*d^4)*x + 60*(b^5*c^5 - 4*a*b^4*c^4*d + 6*a^2*b^3*c^3*d^2 - 4*a^3*b^2*c^2*d^3 + a^4*b*c*d^4 + (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)*log(d*x + c))/(d^7*x + c*d^6)","B",0
1344,1,267,0,0.903354," ","integrate((b*x+a)^4/(d*x+c)^2,x, algorithm=""fricas"")","\frac{b^{4} d^{4} x^{4} - 3 \, b^{4} c^{4} + 12 \, a b^{3} c^{3} d - 18 \, a^{2} b^{2} c^{2} d^{2} + 12 \, a^{3} b c d^{3} - 3 \, a^{4} d^{4} - 2 \, {\left(b^{4} c d^{3} - 3 \, a b^{3} d^{4}\right)} x^{3} + 6 \, {\left(b^{4} c^{2} d^{2} - 3 \, a b^{3} c d^{3} + 3 \, a^{2} b^{2} d^{4}\right)} x^{2} + 3 \, {\left(3 \, b^{4} c^{3} d - 8 \, a b^{3} c^{2} d^{2} + 6 \, a^{2} b^{2} c d^{3}\right)} x - 12 \, {\left(b^{4} c^{4} - 3 \, a b^{3} c^{3} d + 3 \, a^{2} b^{2} c^{2} d^{2} - a^{3} b c d^{3} + {\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\right)} \log\left(d x + c\right)}{3 \, {\left(d^{6} x + c d^{5}\right)}}"," ",0,"1/3*(b^4*d^4*x^4 - 3*b^4*c^4 + 12*a*b^3*c^3*d - 18*a^2*b^2*c^2*d^2 + 12*a^3*b*c*d^3 - 3*a^4*d^4 - 2*(b^4*c*d^3 - 3*a*b^3*d^4)*x^3 + 6*(b^4*c^2*d^2 - 3*a*b^3*c*d^3 + 3*a^2*b^2*d^4)*x^2 + 3*(3*b^4*c^3*d - 8*a*b^3*c^2*d^2 + 6*a^2*b^2*c*d^3)*x - 12*(b^4*c^4 - 3*a*b^3*c^3*d + 3*a^2*b^2*c^2*d^2 - a^3*b*c*d^3 + (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)*log(d*x + c))/(d^6*x + c*d^5)","B",0
1345,1,172,0,1.815725," ","integrate((b*x+a)^3/(d*x+c)^2,x, algorithm=""fricas"")","\frac{b^{3} d^{3} x^{3} + 2 \, b^{3} c^{3} - 6 \, a b^{2} c^{2} d + 6 \, a^{2} b c d^{2} - 2 \, a^{3} d^{3} - 3 \, {\left(b^{3} c d^{2} - 2 \, a b^{2} d^{3}\right)} x^{2} - 2 \, {\left(2 \, b^{3} c^{2} d - 3 \, a b^{2} c d^{2}\right)} x + 6 \, {\left(b^{3} c^{3} - 2 \, a b^{2} c^{2} d + a^{2} b c d^{2} + {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x\right)} \log\left(d x + c\right)}{2 \, {\left(d^{5} x + c d^{4}\right)}}"," ",0,"1/2*(b^3*d^3*x^3 + 2*b^3*c^3 - 6*a*b^2*c^2*d + 6*a^2*b*c*d^2 - 2*a^3*d^3 - 3*(b^3*c*d^2 - 2*a*b^2*d^3)*x^2 - 2*(2*b^3*c^2*d - 3*a*b^2*c*d^2)*x + 6*(b^3*c^3 - 2*a*b^2*c^2*d + a^2*b*c*d^2 + (b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*x)*log(d*x + c))/(d^5*x + c*d^4)","B",0
1346,1,92,0,1.157908," ","integrate((b*x+a)^2/(d*x+c)^2,x, algorithm=""fricas"")","\frac{b^{2} d^{2} x^{2} + b^{2} c d x - b^{2} c^{2} + 2 \, a b c d - a^{2} d^{2} - 2 \, {\left(b^{2} c^{2} - a b c d + {\left(b^{2} c d - a b d^{2}\right)} x\right)} \log\left(d x + c\right)}{d^{4} x + c d^{3}}"," ",0,"(b^2*d^2*x^2 + b^2*c*d*x - b^2*c^2 + 2*a*b*c*d - a^2*d^2 - 2*(b^2*c^2 - a*b*c*d + (b^2*c*d - a*b*d^2)*x)*log(d*x + c))/(d^4*x + c*d^3)","A",0
1347,1,37,0,1.310473," ","integrate((b*x+a)/(d*x+c)^2,x, algorithm=""fricas"")","\frac{b c - a d + {\left(b d x + b c\right)} \log\left(d x + c\right)}{d^{3} x + c d^{2}}"," ",0,"(b*c - a*d + (b*d*x + b*c)*log(d*x + c))/(d^3*x + c*d^2)","A",0
1348,1,13,0,1.149690," ","integrate(1/(d*x+c)^2,x, algorithm=""fricas"")","-\frac{1}{d^{2} x + c d}"," ",0,"-1/(d^2*x + c*d)","A",0
1349,1,92,0,1.206536," ","integrate(1/(b*x+a)/(d*x+c)^2,x, algorithm=""fricas"")","\frac{b c - a d + {\left(b d x + b c\right)} \log\left(b x + a\right) - {\left(b d x + b c\right)} \log\left(d x + c\right)}{b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2} + {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} x}"," ",0,"(b*c - a*d + (b*d*x + b*c)*log(b*x + a) - (b*d*x + b*c)*log(d*x + c))/(b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2 + (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*x)","A",0
1350,1,241,0,1.237900," ","integrate(1/(b*x+a)^2/(d*x+c)^2,x, algorithm=""fricas"")","-\frac{b^{2} c^{2} - a^{2} d^{2} + 2 \, {\left(b^{2} c d - a b d^{2}\right)} x + 2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)} \log\left(b x + a\right) - 2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)} \log\left(d x + c\right)}{a b^{3} c^{4} - 3 \, a^{2} b^{2} c^{3} d + 3 \, a^{3} b c^{2} d^{2} - a^{4} c d^{3} + {\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(b^{4} c^{4} - 2 \, a b^{3} c^{3} d + 2 \, a^{3} b c d^{3} - a^{4} d^{4}\right)} x}"," ",0,"-(b^2*c^2 - a^2*d^2 + 2*(b^2*c*d - a*b*d^2)*x + 2*(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)*log(b*x + a) - 2*(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)*log(d*x + c))/(a*b^3*c^4 - 3*a^2*b^2*c^3*d + 3*a^3*b*c^2*d^2 - a^4*c*d^3 + (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^2 + (b^4*c^4 - 2*a*b^3*c^3*d + 2*a^3*b*c*d^3 - a^4*d^4)*x)","B",0
1351,1,494,0,1.234299," ","integrate(1/(b*x+a)^3/(d*x+c)^2,x, algorithm=""fricas"")","-\frac{b^{3} c^{3} - 6 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} + 2 \, a^{3} d^{3} - 6 \, {\left(b^{3} c d^{2} - a b^{2} d^{3}\right)} x^{2} - 3 \, {\left(b^{3} c^{2} d + 2 \, a b^{2} c d^{2} - 3 \, a^{2} b d^{3}\right)} x - 6 \, {\left(b^{3} d^{3} x^{3} + a^{2} b c d^{2} + {\left(b^{3} c d^{2} + 2 \, a b^{2} d^{3}\right)} x^{2} + {\left(2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x\right)} \log\left(b x + a\right) + 6 \, {\left(b^{3} d^{3} x^{3} + a^{2} b c d^{2} + {\left(b^{3} c d^{2} + 2 \, a b^{2} d^{3}\right)} x^{2} + {\left(2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x\right)} \log\left(d x + c\right)}{2 \, {\left(a^{2} b^{4} c^{5} - 4 \, a^{3} b^{3} c^{4} d + 6 \, a^{4} b^{2} c^{3} d^{2} - 4 \, a^{5} b c^{2} d^{3} + a^{6} c d^{4} + {\left(b^{6} c^{4} d - 4 \, a b^{5} c^{3} d^{2} + 6 \, a^{2} b^{4} c^{2} d^{3} - 4 \, a^{3} b^{3} c d^{4} + a^{4} b^{2} d^{5}\right)} x^{3} + {\left(b^{6} c^{5} - 2 \, a b^{5} c^{4} d - 2 \, a^{2} b^{4} c^{3} d^{2} + 8 \, a^{3} b^{3} c^{2} d^{3} - 7 \, a^{4} b^{2} c d^{4} + 2 \, a^{5} b d^{5}\right)} x^{2} + {\left(2 \, a b^{5} c^{5} - 7 \, a^{2} b^{4} c^{4} d + 8 \, a^{3} b^{3} c^{3} d^{2} - 2 \, a^{4} b^{2} c^{2} d^{3} - 2 \, a^{5} b c d^{4} + a^{6} d^{5}\right)} x\right)}}"," ",0,"-1/2*(b^3*c^3 - 6*a*b^2*c^2*d + 3*a^2*b*c*d^2 + 2*a^3*d^3 - 6*(b^3*c*d^2 - a*b^2*d^3)*x^2 - 3*(b^3*c^2*d + 2*a*b^2*c*d^2 - 3*a^2*b*d^3)*x - 6*(b^3*d^3*x^3 + a^2*b*c*d^2 + (b^3*c*d^2 + 2*a*b^2*d^3)*x^2 + (2*a*b^2*c*d^2 + a^2*b*d^3)*x)*log(b*x + a) + 6*(b^3*d^3*x^3 + a^2*b*c*d^2 + (b^3*c*d^2 + 2*a*b^2*d^3)*x^2 + (2*a*b^2*c*d^2 + a^2*b*d^3)*x)*log(d*x + c))/(a^2*b^4*c^5 - 4*a^3*b^3*c^4*d + 6*a^4*b^2*c^3*d^2 - 4*a^5*b*c^2*d^3 + a^6*c*d^4 + (b^6*c^4*d - 4*a*b^5*c^3*d^2 + 6*a^2*b^4*c^2*d^3 - 4*a^3*b^3*c*d^4 + a^4*b^2*d^5)*x^3 + (b^6*c^5 - 2*a*b^5*c^4*d - 2*a^2*b^4*c^3*d^2 + 8*a^3*b^3*c^2*d^3 - 7*a^4*b^2*c*d^4 + 2*a^5*b*d^5)*x^2 + (2*a*b^5*c^5 - 7*a^2*b^4*c^4*d + 8*a^3*b^3*c^3*d^2 - 2*a^4*b^2*c^2*d^3 - 2*a^5*b*c*d^4 + a^6*d^5)*x)","B",0
1352,1,548,0,1.259171," ","integrate((b*x+a)^6/(d*x+c)^3,x, algorithm=""fricas"")","\frac{b^{6} d^{6} x^{6} + 22 \, b^{6} c^{6} - 108 \, a b^{5} c^{5} d + 210 \, a^{2} b^{4} c^{4} d^{2} - 200 \, a^{3} b^{3} c^{3} d^{3} + 90 \, a^{4} b^{2} c^{2} d^{4} - 12 \, a^{5} b c d^{5} - 2 \, a^{6} d^{6} - 2 \, {\left(b^{6} c d^{5} - 4 \, a b^{5} d^{6}\right)} x^{5} + 5 \, {\left(b^{6} c^{2} d^{4} - 4 \, a b^{5} c d^{5} + 6 \, a^{2} b^{4} d^{6}\right)} x^{4} - 20 \, {\left(b^{6} c^{3} d^{3} - 4 \, a b^{5} c^{2} d^{4} + 6 \, a^{2} b^{4} c d^{5} - 4 \, a^{3} b^{3} d^{6}\right)} x^{3} - 2 \, {\left(34 \, b^{6} c^{4} d^{2} - 126 \, a b^{5} c^{3} d^{3} + 165 \, a^{2} b^{4} c^{2} d^{4} - 80 \, a^{3} b^{3} c d^{5}\right)} x^{2} - 4 \, {\left(4 \, b^{6} c^{5} d - 6 \, a b^{5} c^{4} d^{2} - 15 \, a^{2} b^{4} c^{3} d^{3} + 40 \, a^{3} b^{3} c^{2} d^{4} - 30 \, a^{4} b^{2} c d^{5} + 6 \, a^{5} b d^{6}\right)} x + 60 \, {\left(b^{6} c^{6} - 4 \, a b^{5} c^{5} d + 6 \, a^{2} b^{4} c^{4} d^{2} - 4 \, a^{3} b^{3} c^{3} d^{3} + a^{4} b^{2} 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^{2} + 2 \, {\left(b^{6} c^{5} d - 4 \, a b^{5} c^{4} d^{2} + 6 \, a^{2} b^{4} c^{3} d^{3} - 4 \, a^{3} b^{3} c^{2} d^{4} + a^{4} b^{2} c d^{5}\right)} x\right)} \log\left(d x + c\right)}{4 \, {\left(d^{9} x^{2} + 2 \, c d^{8} x + c^{2} d^{7}\right)}}"," ",0,"1/4*(b^6*d^6*x^6 + 22*b^6*c^6 - 108*a*b^5*c^5*d + 210*a^2*b^4*c^4*d^2 - 200*a^3*b^3*c^3*d^3 + 90*a^4*b^2*c^2*d^4 - 12*a^5*b*c*d^5 - 2*a^6*d^6 - 2*(b^6*c*d^5 - 4*a*b^5*d^6)*x^5 + 5*(b^6*c^2*d^4 - 4*a*b^5*c*d^5 + 6*a^2*b^4*d^6)*x^4 - 20*(b^6*c^3*d^3 - 4*a*b^5*c^2*d^4 + 6*a^2*b^4*c*d^5 - 4*a^3*b^3*d^6)*x^3 - 2*(34*b^6*c^4*d^2 - 126*a*b^5*c^3*d^3 + 165*a^2*b^4*c^2*d^4 - 80*a^3*b^3*c*d^5)*x^2 - 4*(4*b^6*c^5*d - 6*a*b^5*c^4*d^2 - 15*a^2*b^4*c^3*d^3 + 40*a^3*b^3*c^2*d^4 - 30*a^4*b^2*c*d^5 + 6*a^5*b*d^6)*x + 60*(b^6*c^6 - 4*a*b^5*c^5*d + 6*a^2*b^4*c^4*d^2 - 4*a^3*b^3*c^3*d^3 + a^4*b^2*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^2 + 2*(b^6*c^5*d - 4*a*b^5*c^4*d^2 + 6*a^2*b^4*c^3*d^3 - 4*a^3*b^3*c^2*d^4 + a^4*b^2*c*d^5)*x)*log(d*x + c))/(d^9*x^2 + 2*c*d^8*x + c^2*d^7)","B",0
1353,1,416,0,1.204757," ","integrate((b*x+a)^5/(d*x+c)^3,x, algorithm=""fricas"")","\frac{2 \, b^{5} d^{5} x^{5} - 27 \, b^{5} c^{5} + 105 \, a b^{4} c^{4} d - 150 \, a^{2} b^{3} c^{3} d^{2} + 90 \, a^{3} b^{2} c^{2} d^{3} - 15 \, a^{4} b c d^{4} - 3 \, a^{5} d^{5} - 5 \, {\left(b^{5} c d^{4} - 3 \, a b^{4} d^{5}\right)} x^{4} + 20 \, {\left(b^{5} c^{2} d^{3} - 3 \, a b^{4} c d^{4} + 3 \, a^{2} b^{3} d^{5}\right)} x^{3} + 3 \, {\left(21 \, b^{5} c^{3} d^{2} - 55 \, a b^{4} c^{2} d^{3} + 40 \, a^{2} b^{3} c d^{4}\right)} x^{2} + 6 \, {\left(b^{5} c^{4} d + 5 \, a b^{4} c^{3} d^{2} - 20 \, a^{2} b^{3} c^{2} d^{3} + 20 \, a^{3} b^{2} c d^{4} - 5 \, a^{4} b d^{5}\right)} x - 60 \, {\left(b^{5} c^{5} - 3 \, a b^{4} c^{4} d + 3 \, a^{2} b^{3} c^{3} d^{2} - a^{3} b^{2} c^{2} d^{3} + {\left(b^{5} c^{3} d^{2} - 3 \, a b^{4} c^{2} d^{3} + 3 \, a^{2} b^{3} c d^{4} - a^{3} b^{2} d^{5}\right)} x^{2} + 2 \, {\left(b^{5} c^{4} d - 3 \, a b^{4} c^{3} d^{2} + 3 \, a^{2} b^{3} c^{2} d^{3} - a^{3} b^{2} c d^{4}\right)} x\right)} \log\left(d x + c\right)}{6 \, {\left(d^{8} x^{2} + 2 \, c d^{7} x + c^{2} d^{6}\right)}}"," ",0,"1/6*(2*b^5*d^5*x^5 - 27*b^5*c^5 + 105*a*b^4*c^4*d - 150*a^2*b^3*c^3*d^2 + 90*a^3*b^2*c^2*d^3 - 15*a^4*b*c*d^4 - 3*a^5*d^5 - 5*(b^5*c*d^4 - 3*a*b^4*d^5)*x^4 + 20*(b^5*c^2*d^3 - 3*a*b^4*c*d^4 + 3*a^2*b^3*d^5)*x^3 + 3*(21*b^5*c^3*d^2 - 55*a*b^4*c^2*d^3 + 40*a^2*b^3*c*d^4)*x^2 + 6*(b^5*c^4*d + 5*a*b^4*c^3*d^2 - 20*a^2*b^3*c^2*d^3 + 20*a^3*b^2*c*d^4 - 5*a^4*b*d^5)*x - 60*(b^5*c^5 - 3*a*b^4*c^4*d + 3*a^2*b^3*c^3*d^2 - a^3*b^2*c^2*d^3 + (b^5*c^3*d^2 - 3*a*b^4*c^2*d^3 + 3*a^2*b^3*c*d^4 - a^3*b^2*d^5)*x^2 + 2*(b^5*c^4*d - 3*a*b^4*c^3*d^2 + 3*a^2*b^3*c^2*d^3 - a^3*b^2*c*d^4)*x)*log(d*x + c))/(d^8*x^2 + 2*c*d^7*x + c^2*d^6)","B",0
1354,1,291,0,0.771014," ","integrate((b*x+a)^4/(d*x+c)^3,x, algorithm=""fricas"")","\frac{b^{4} d^{4} x^{4} + 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} - 4 \, {\left(b^{4} c d^{3} - 2 \, a b^{3} d^{4}\right)} x^{3} - {\left(11 \, b^{4} c^{2} d^{2} - 16 \, a b^{3} c d^{3}\right)} x^{2} + 2 \, {\left(b^{4} c^{3} d - 8 \, a b^{3} c^{2} d^{2} + 12 \, a^{2} b^{2} c d^{3} - 4 \, a^{3} b d^{4}\right)} x + 12 \, {\left(b^{4} c^{4} - 2 \, a b^{3} c^{3} d + a^{2} b^{2} c^{2} d^{2} + {\left(b^{4} c^{2} d^{2} - 2 \, a b^{3} c d^{3} + a^{2} b^{2} d^{4}\right)} x^{2} + 2 \, {\left(b^{4} c^{3} d - 2 \, a b^{3} c^{2} d^{2} + a^{2} b^{2} c d^{3}\right)} x\right)} \log\left(d x + c\right)}{2 \, {\left(d^{7} x^{2} + 2 \, c d^{6} x + c^{2} d^{5}\right)}}"," ",0,"1/2*(b^4*d^4*x^4 + 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 - 4*(b^4*c*d^3 - 2*a*b^3*d^4)*x^3 - (11*b^4*c^2*d^2 - 16*a*b^3*c*d^3)*x^2 + 2*(b^4*c^3*d - 8*a*b^3*c^2*d^2 + 12*a^2*b^2*c*d^3 - 4*a^3*b*d^4)*x + 12*(b^4*c^4 - 2*a*b^3*c^3*d + a^2*b^2*c^2*d^2 + (b^4*c^2*d^2 - 2*a*b^3*c*d^3 + a^2*b^2*d^4)*x^2 + 2*(b^4*c^3*d - 2*a*b^3*c^2*d^2 + a^2*b^2*c*d^3)*x)*log(d*x + c))/(d^7*x^2 + 2*c*d^6*x + c^2*d^5)","B",0
1355,1,188,0,1.403394," ","integrate((b*x+a)^3/(d*x+c)^3,x, algorithm=""fricas"")","\frac{2 \, b^{3} d^{3} x^{3} + 4 \, b^{3} c d^{2} x^{2} - 5 \, b^{3} c^{3} + 9 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} - a^{3} d^{3} - 2 \, {\left(2 \, b^{3} c^{2} d - 6 \, a b^{2} c d^{2} + 3 \, a^{2} b d^{3}\right)} x - 6 \, {\left(b^{3} c^{3} - a b^{2} c^{2} d + {\left(b^{3} c d^{2} - a b^{2} d^{3}\right)} x^{2} + 2 \, {\left(b^{3} c^{2} d - a b^{2} c d^{2}\right)} x\right)} \log\left(d x + c\right)}{2 \, {\left(d^{6} x^{2} + 2 \, c d^{5} x + c^{2} d^{4}\right)}}"," ",0,"1/2*(2*b^3*d^3*x^3 + 4*b^3*c*d^2*x^2 - 5*b^3*c^3 + 9*a*b^2*c^2*d - 3*a^2*b*c*d^2 - a^3*d^3 - 2*(2*b^3*c^2*d - 6*a*b^2*c*d^2 + 3*a^2*b*d^3)*x - 6*(b^3*c^3 - a*b^2*c^2*d + (b^3*c*d^2 - a*b^2*d^3)*x^2 + 2*(b^3*c^2*d - a*b^2*c*d^2)*x)*log(d*x + c))/(d^6*x^2 + 2*c*d^5*x + c^2*d^4)","B",0
1356,1,100,0,1.437335," ","integrate((b*x+a)^2/(d*x+c)^3,x, algorithm=""fricas"")","\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(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2}\right)} \log\left(d x + c\right)}{2 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",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 + 2*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2)*log(d*x + c))/(d^5*x^2 + 2*c*d^4*x + c^2*d^3)","A",0
1357,1,38,0,0.987252," ","integrate((b*x+a)/(d*x+c)^3,x, algorithm=""fricas"")","-\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
1358,1,24,0,1.238369," ","integrate(1/(d*x+c)^3,x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}}"," ",0,"-1/2/(d^3*x^2 + 2*c*d^2*x + c^2*d)","A",0
1359,1,242,0,1.196575," ","integrate(1/(b*x+a)/(d*x+c)^3,x, algorithm=""fricas"")","\frac{3 \, b^{2} c^{2} - 4 \, a b c d + a^{2} d^{2} + 2 \, {\left(b^{2} c d - a b d^{2}\right)} x + 2 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2}\right)} \log\left(b x + a\right) - 2 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2}\right)} \log\left(d x + c\right)}{2 \, {\left(b^{3} c^{5} - 3 \, a b^{2} c^{4} d + 3 \, a^{2} b c^{3} d^{2} - a^{3} c^{2} d^{3} + {\left(b^{3} c^{3} d^{2} - 3 \, a b^{2} c^{2} d^{3} + 3 \, a^{2} b c d^{4} - a^{3} d^{5}\right)} x^{2} + 2 \, {\left(b^{3} c^{4} d - 3 \, a b^{2} c^{3} d^{2} + 3 \, a^{2} b c^{2} d^{3} - a^{3} c d^{4}\right)} x\right)}}"," ",0,"1/2*(3*b^2*c^2 - 4*a*b*c*d + a^2*d^2 + 2*(b^2*c*d - a*b*d^2)*x + 2*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2)*log(b*x + a) - 2*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2)*log(d*x + c))/(b^3*c^5 - 3*a*b^2*c^4*d + 3*a^2*b*c^3*d^2 - a^3*c^2*d^3 + (b^3*c^3*d^2 - 3*a*b^2*c^2*d^3 + 3*a^2*b*c*d^4 - a^3*d^5)*x^2 + 2*(b^3*c^4*d - 3*a*b^2*c^3*d^2 + 3*a^2*b*c^2*d^3 - a^3*c*d^4)*x)","B",0
1360,1,495,0,1.610638," ","integrate(1/(b*x+a)^2/(d*x+c)^3,x, algorithm=""fricas"")","-\frac{2 \, b^{3} c^{3} + 3 \, a b^{2} c^{2} d - 6 \, 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} + 3 \, {\left(3 \, b^{3} c^{2} d - 2 \, a b^{2} c d^{2} - a^{2} b d^{3}\right)} x + 6 \, {\left(b^{3} d^{3} x^{3} + a b^{2} c^{2} d + {\left(2 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + {\left(b^{3} c^{2} d + 2 \, a b^{2} c d^{2}\right)} x\right)} \log\left(b x + a\right) - 6 \, {\left(b^{3} d^{3} x^{3} + a b^{2} c^{2} d + {\left(2 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + {\left(b^{3} c^{2} d + 2 \, a b^{2} c d^{2}\right)} x\right)} \log\left(d x + c\right)}{2 \, {\left(a b^{4} c^{6} - 4 \, a^{2} b^{3} c^{5} d + 6 \, a^{3} b^{2} c^{4} d^{2} - 4 \, a^{4} b c^{3} d^{3} + a^{5} c^{2} d^{4} + {\left(b^{5} c^{4} d^{2} - 4 \, a b^{4} c^{3} d^{3} + 6 \, a^{2} b^{3} c^{2} d^{4} - 4 \, a^{3} b^{2} c d^{5} + a^{4} b d^{6}\right)} x^{3} + {\left(2 \, b^{5} c^{5} d - 7 \, a b^{4} c^{4} d^{2} + 8 \, a^{2} b^{3} c^{3} d^{3} - 2 \, a^{3} b^{2} c^{2} d^{4} - 2 \, a^{4} b c d^{5} + a^{5} d^{6}\right)} x^{2} + {\left(b^{5} c^{6} - 2 \, a b^{4} c^{5} d - 2 \, a^{2} b^{3} c^{4} d^{2} + 8 \, a^{3} b^{2} c^{3} d^{3} - 7 \, a^{4} b c^{2} d^{4} + 2 \, a^{5} c d^{5}\right)} x\right)}}"," ",0,"-1/2*(2*b^3*c^3 + 3*a*b^2*c^2*d - 6*a^2*b*c*d^2 + a^3*d^3 + 6*(b^3*c*d^2 - a*b^2*d^3)*x^2 + 3*(3*b^3*c^2*d - 2*a*b^2*c*d^2 - a^2*b*d^3)*x + 6*(b^3*d^3*x^3 + a*b^2*c^2*d + (2*b^3*c*d^2 + a*b^2*d^3)*x^2 + (b^3*c^2*d + 2*a*b^2*c*d^2)*x)*log(b*x + a) - 6*(b^3*d^3*x^3 + a*b^2*c^2*d + (2*b^3*c*d^2 + a*b^2*d^3)*x^2 + (b^3*c^2*d + 2*a*b^2*c*d^2)*x)*log(d*x + c))/(a*b^4*c^6 - 4*a^2*b^3*c^5*d + 6*a^3*b^2*c^4*d^2 - 4*a^4*b*c^3*d^3 + a^5*c^2*d^4 + (b^5*c^4*d^2 - 4*a*b^4*c^3*d^3 + 6*a^2*b^3*c^2*d^4 - 4*a^3*b^2*c*d^5 + a^4*b*d^6)*x^3 + (2*b^5*c^5*d - 7*a*b^4*c^4*d^2 + 8*a^2*b^3*c^3*d^3 - 2*a^3*b^2*c^2*d^4 - 2*a^4*b*c*d^5 + a^5*d^6)*x^2 + (b^5*c^6 - 2*a*b^4*c^5*d - 2*a^2*b^3*c^4*d^2 + 8*a^3*b^2*c^3*d^3 - 7*a^4*b*c^2*d^4 + 2*a^5*c*d^5)*x)","B",0
1361,1,760,0,1.181579," ","integrate(1/(b*x+a)^3/(d*x+c)^3,x, algorithm=""fricas"")","-\frac{b^{4} c^{4} - 8 \, a b^{3} c^{3} d + 8 \, a^{3} b c d^{3} - a^{4} d^{4} - 12 \, {\left(b^{4} c d^{3} - a b^{3} d^{4}\right)} x^{3} - 18 \, {\left(b^{4} c^{2} d^{2} - a^{2} b^{2} d^{4}\right)} x^{2} - 4 \, {\left(b^{4} c^{3} d + 6 \, a b^{3} c^{2} d^{2} - 6 \, a^{2} b^{2} c d^{3} - a^{3} b d^{4}\right)} x - 12 \, {\left(b^{4} d^{4} x^{4} + a^{2} b^{2} c^{2} d^{2} + 2 \, {\left(b^{4} c d^{3} + a b^{3} d^{4}\right)} x^{3} + {\left(b^{4} c^{2} d^{2} + 4 \, a b^{3} c d^{3} + a^{2} b^{2} d^{4}\right)} x^{2} + 2 \, {\left(a b^{3} c^{2} d^{2} + a^{2} b^{2} c d^{3}\right)} x\right)} \log\left(b x + a\right) + 12 \, {\left(b^{4} d^{4} x^{4} + a^{2} b^{2} c^{2} d^{2} + 2 \, {\left(b^{4} c d^{3} + a b^{3} d^{4}\right)} x^{3} + {\left(b^{4} c^{2} d^{2} + 4 \, a b^{3} c d^{3} + a^{2} b^{2} d^{4}\right)} x^{2} + 2 \, {\left(a b^{3} c^{2} d^{2} + a^{2} b^{2} c d^{3}\right)} x\right)} \log\left(d x + c\right)}{2 \, {\left(a^{2} b^{5} c^{7} - 5 \, a^{3} b^{4} c^{6} d + 10 \, a^{4} b^{3} c^{5} d^{2} - 10 \, a^{5} b^{2} c^{4} d^{3} + 5 \, a^{6} b c^{3} d^{4} - a^{7} c^{2} d^{5} + {\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^{4} + 2 \, {\left(b^{7} c^{6} d - 4 \, a b^{6} c^{5} d^{2} + 5 \, a^{2} b^{5} c^{4} d^{3} - 5 \, a^{4} b^{3} c^{2} d^{5} + 4 \, a^{5} b^{2} c d^{6} - a^{6} b d^{7}\right)} x^{3} + {\left(b^{7} c^{7} - a b^{6} c^{6} d - 9 \, a^{2} b^{5} c^{5} d^{2} + 25 \, a^{3} b^{4} c^{4} d^{3} - 25 \, a^{4} b^{3} c^{3} d^{4} + 9 \, a^{5} b^{2} c^{2} d^{5} + a^{6} b c d^{6} - a^{7} d^{7}\right)} x^{2} + 2 \, {\left(a b^{6} c^{7} - 4 \, a^{2} b^{5} c^{6} d + 5 \, a^{3} b^{4} c^{5} d^{2} - 5 \, a^{5} b^{2} c^{3} d^{4} + 4 \, a^{6} b c^{2} d^{5} - a^{7} c d^{6}\right)} x\right)}}"," ",0,"-1/2*(b^4*c^4 - 8*a*b^3*c^3*d + 8*a^3*b*c*d^3 - a^4*d^4 - 12*(b^4*c*d^3 - a*b^3*d^4)*x^3 - 18*(b^4*c^2*d^2 - a^2*b^2*d^4)*x^2 - 4*(b^4*c^3*d + 6*a*b^3*c^2*d^2 - 6*a^2*b^2*c*d^3 - a^3*b*d^4)*x - 12*(b^4*d^4*x^4 + a^2*b^2*c^2*d^2 + 2*(b^4*c*d^3 + a*b^3*d^4)*x^3 + (b^4*c^2*d^2 + 4*a*b^3*c*d^3 + a^2*b^2*d^4)*x^2 + 2*(a*b^3*c^2*d^2 + a^2*b^2*c*d^3)*x)*log(b*x + a) + 12*(b^4*d^4*x^4 + a^2*b^2*c^2*d^2 + 2*(b^4*c*d^3 + a*b^3*d^4)*x^3 + (b^4*c^2*d^2 + 4*a*b^3*c*d^3 + a^2*b^2*d^4)*x^2 + 2*(a*b^3*c^2*d^2 + a^2*b^2*c*d^3)*x)*log(d*x + c))/(a^2*b^5*c^7 - 5*a^3*b^4*c^6*d + 10*a^4*b^3*c^5*d^2 - 10*a^5*b^2*c^4*d^3 + 5*a^6*b*c^3*d^4 - a^7*c^2*d^5 + (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^4 + 2*(b^7*c^6*d - 4*a*b^6*c^5*d^2 + 5*a^2*b^5*c^4*d^3 - 5*a^4*b^3*c^2*d^5 + 4*a^5*b^2*c*d^6 - a^6*b*d^7)*x^3 + (b^7*c^7 - a*b^6*c^6*d - 9*a^2*b^5*c^5*d^2 + 25*a^3*b^4*c^4*d^3 - 25*a^4*b^3*c^3*d^4 + 9*a^5*b^2*c^2*d^5 + a^6*b*c*d^6 - a^7*d^7)*x^2 + 2*(a*b^6*c^7 - 4*a^2*b^5*c^6*d + 5*a^3*b^4*c^5*d^2 - 5*a^5*b^2*c^3*d^4 + 4*a^6*b*c^2*d^5 - a^7*c*d^6)*x)","B",0
1362,1,1093,0,0.955512," ","integrate((b*x+a)^9/(d*x+c)^8,x, algorithm=""fricas"")","\frac{35 \, b^{9} d^{9} x^{9} + 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} - 315 \, {\left(b^{9} c d^{8} - 2 \, a b^{8} d^{9}\right)} x^{8} - 245 \, {\left(13 \, b^{9} c^{2} d^{7} - 18 \, a b^{8} c d^{8}\right)} x^{7} - 245 \, {\left(19 \, b^{9} c^{3} d^{6} + 18 \, a b^{8} c^{2} d^{7} - 72 \, a^{2} b^{7} c d^{8} + 24 \, a^{3} b^{6} d^{9}\right)} x^{6} + 735 \, {\left(17 \, b^{9} c^{4} d^{5} - 90 \, a b^{8} c^{3} d^{6} + 108 \, a^{2} b^{7} c^{2} d^{7} - 24 \, a^{3} b^{6} c d^{8} - 6 \, a^{4} b^{5} d^{9}\right)} x^{5} + 245 \, {\left(205 \, b^{9} c^{5} d^{4} - 690 \, a b^{8} c^{4} d^{5} + 660 \, a^{2} b^{7} c^{3} d^{6} - 120 \, a^{3} b^{6} c^{2} d^{7} - 30 \, a^{4} b^{5} c d^{8} - 12 \, a^{5} b^{4} d^{9}\right)} x^{4} + 245 \, {\left(295 \, b^{9} c^{6} d^{3} - 870 \, a b^{8} c^{5} d^{4} + 750 \, a^{2} b^{7} c^{4} d^{5} - 120 \, a^{3} b^{6} c^{3} d^{6} - 30 \, a^{4} b^{5} c^{2} d^{7} - 12 \, a^{5} b^{4} c d^{8} - 6 \, a^{6} b^{3} d^{9}\right)} x^{3} + 21 \, {\left(2569 \, b^{9} c^{7} d^{2} - 7098 \, a b^{8} c^{6} d^{3} + 5754 \, a^{2} b^{7} c^{5} d^{4} - 840 \, a^{3} b^{6} c^{4} d^{5} - 210 \, a^{4} b^{5} c^{3} d^{6} - 84 \, a^{5} b^{4} c^{2} d^{7} - 42 \, a^{6} b^{3} c d^{8} - 24 \, a^{7} b^{2} d^{9}\right)} x^{2} + 7 \, {\left(2989 \, b^{9} c^{8} d - 7938 \, a b^{8} c^{7} d^{2} + 6174 \, a^{2} b^{7} c^{6} d^{3} - 840 \, a^{3} b^{6} c^{5} d^{4} - 210 \, a^{4} b^{5} c^{4} d^{5} - 84 \, a^{5} b^{4} c^{3} d^{6} - 42 \, a^{6} b^{3} c^{2} d^{7} - 24 \, a^{7} b^{2} c d^{8} - 15 \, a^{8} b d^{9}\right)} x + 2520 \, {\left(b^{9} c^{9} - 2 \, a b^{8} c^{8} d + a^{2} b^{7} c^{7} d^{2} + {\left(b^{9} c^{2} d^{7} - 2 \, a b^{8} c d^{8} + a^{2} b^{7} d^{9}\right)} x^{7} + 7 \, {\left(b^{9} c^{3} d^{6} - 2 \, a b^{8} c^{2} d^{7} + a^{2} b^{7} c d^{8}\right)} x^{6} + 21 \, {\left(b^{9} c^{4} d^{5} - 2 \, a b^{8} c^{3} d^{6} + a^{2} b^{7} c^{2} d^{7}\right)} x^{5} + 35 \, {\left(b^{9} c^{5} d^{4} - 2 \, a b^{8} c^{4} d^{5} + a^{2} b^{7} c^{3} d^{6}\right)} x^{4} + 35 \, {\left(b^{9} c^{6} d^{3} - 2 \, a b^{8} c^{5} d^{4} + a^{2} b^{7} c^{4} d^{5}\right)} x^{3} + 21 \, {\left(b^{9} c^{7} d^{2} - 2 \, a b^{8} c^{6} d^{3} + a^{2} b^{7} c^{5} d^{4}\right)} x^{2} + 7 \, {\left(b^{9} c^{8} d - 2 \, a b^{8} c^{7} d^{2} + a^{2} b^{7} c^{6} d^{3}\right)} x\right)} \log\left(d x + c\right)}{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)}}"," ",0,"1/70*(35*b^9*d^9*x^9 + 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 - 315*(b^9*c*d^8 - 2*a*b^8*d^9)*x^8 - 245*(13*b^9*c^2*d^7 - 18*a*b^8*c*d^8)*x^7 - 245*(19*b^9*c^3*d^6 + 18*a*b^8*c^2*d^7 - 72*a^2*b^7*c*d^8 + 24*a^3*b^6*d^9)*x^6 + 735*(17*b^9*c^4*d^5 - 90*a*b^8*c^3*d^6 + 108*a^2*b^7*c^2*d^7 - 24*a^3*b^6*c*d^8 - 6*a^4*b^5*d^9)*x^5 + 245*(205*b^9*c^5*d^4 - 690*a*b^8*c^4*d^5 + 660*a^2*b^7*c^3*d^6 - 120*a^3*b^6*c^2*d^7 - 30*a^4*b^5*c*d^8 - 12*a^5*b^4*d^9)*x^4 + 245*(295*b^9*c^6*d^3 - 870*a*b^8*c^5*d^4 + 750*a^2*b^7*c^4*d^5 - 120*a^3*b^6*c^3*d^6 - 30*a^4*b^5*c^2*d^7 - 12*a^5*b^4*c*d^8 - 6*a^6*b^3*d^9)*x^3 + 21*(2569*b^9*c^7*d^2 - 7098*a*b^8*c^6*d^3 + 5754*a^2*b^7*c^5*d^4 - 840*a^3*b^6*c^4*d^5 - 210*a^4*b^5*c^3*d^6 - 84*a^5*b^4*c^2*d^7 - 42*a^6*b^3*c*d^8 - 24*a^7*b^2*d^9)*x^2 + 7*(2989*b^9*c^8*d - 7938*a*b^8*c^7*d^2 + 6174*a^2*b^7*c^6*d^3 - 840*a^3*b^6*c^5*d^4 - 210*a^4*b^5*c^4*d^5 - 84*a^5*b^4*c^3*d^6 - 42*a^6*b^3*c^2*d^7 - 24*a^7*b^2*c*d^8 - 15*a^8*b*d^9)*x + 2520*(b^9*c^9 - 2*a*b^8*c^8*d + a^2*b^7*c^7*d^2 + (b^9*c^2*d^7 - 2*a*b^8*c*d^8 + a^2*b^7*d^9)*x^7 + 7*(b^9*c^3*d^6 - 2*a*b^8*c^2*d^7 + a^2*b^7*c*d^8)*x^6 + 21*(b^9*c^4*d^5 - 2*a*b^8*c^3*d^6 + a^2*b^7*c^2*d^7)*x^5 + 35*(b^9*c^5*d^4 - 2*a*b^8*c^4*d^5 + a^2*b^7*c^3*d^6)*x^4 + 35*(b^9*c^6*d^3 - 2*a*b^8*c^5*d^4 + a^2*b^7*c^4*d^5)*x^3 + 21*(b^9*c^7*d^2 - 2*a*b^8*c^6*d^3 + a^2*b^7*c^5*d^4)*x^2 + 7*(b^9*c^8*d - 2*a*b^8*c^7*d^2 + a^2*b^7*c^6*d^3)*x)*log(d*x + c))/(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)","B",0
1363,1,852,0,0.971917," ","integrate((b*x+a)^8/(d*x+c)^8,x, algorithm=""fricas"")","\frac{105 \, b^{8} d^{8} x^{8} + 735 \, b^{8} c d^{7} x^{7} - 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} - 735 \, {\left(b^{8} c^{2} d^{6} - 8 \, a b^{7} c d^{7} + 4 \, a^{2} b^{6} d^{8}\right)} x^{6} - 735 \, {\left(15 \, b^{8} c^{3} d^{5} - 36 \, a b^{7} c^{2} d^{6} + 12 \, a^{2} b^{6} c d^{7} + 4 \, a^{3} b^{5} d^{8}\right)} x^{5} - 1225 \, {\left(23 \, b^{8} c^{4} d^{4} - 44 \, a b^{7} c^{3} d^{5} + 12 \, a^{2} b^{6} c^{2} d^{6} + 4 \, a^{3} b^{5} c d^{7} + 2 \, a^{4} b^{4} d^{8}\right)} x^{4} - 245 \, {\left(145 \, b^{8} c^{5} d^{3} - 250 \, a b^{7} c^{4} d^{4} + 60 \, a^{2} b^{6} c^{3} d^{5} + 20 \, a^{3} b^{5} c^{2} d^{6} + 10 \, a^{4} b^{4} c d^{7} + 6 \, a^{5} b^{3} d^{8}\right)} x^{3} - 147 \, {\left(169 \, b^{8} c^{6} d^{2} - 274 \, a b^{7} c^{5} d^{3} + 60 \, a^{2} b^{6} c^{4} d^{4} + 20 \, a^{3} b^{5} c^{3} d^{5} + 10 \, a^{4} b^{4} c^{2} d^{6} + 6 \, a^{5} b^{3} c d^{7} + 4 \, a^{6} b^{2} d^{8}\right)} x^{2} - 7 \, {\left(1323 \, b^{8} c^{7} d - 2058 \, a b^{7} c^{6} d^{2} + 420 \, a^{2} b^{6} c^{5} d^{3} + 140 \, a^{3} b^{5} c^{4} d^{4} + 70 \, a^{4} b^{4} c^{3} d^{5} + 42 \, a^{5} b^{3} c^{2} d^{6} + 28 \, a^{6} b^{2} c d^{7} + 20 \, a^{7} b d^{8}\right)} x - 840 \, {\left(b^{8} c^{8} - a b^{7} c^{7} d + {\left(b^{8} c d^{7} - a b^{7} d^{8}\right)} x^{7} + 7 \, {\left(b^{8} c^{2} d^{6} - a b^{7} c d^{7}\right)} x^{6} + 21 \, {\left(b^{8} c^{3} d^{5} - a b^{7} c^{2} d^{6}\right)} x^{5} + 35 \, {\left(b^{8} c^{4} d^{4} - a b^{7} c^{3} d^{5}\right)} x^{4} + 35 \, {\left(b^{8} c^{5} d^{3} - a b^{7} c^{4} d^{4}\right)} x^{3} + 21 \, {\left(b^{8} c^{6} d^{2} - a b^{7} c^{5} d^{3}\right)} x^{2} + 7 \, {\left(b^{8} c^{7} d - a b^{7} c^{6} d^{2}\right)} x\right)} \log\left(d x + c\right)}{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)}}"," ",0,"1/105*(105*b^8*d^8*x^8 + 735*b^8*c*d^7*x^7 - 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 - 735*(b^8*c^2*d^6 - 8*a*b^7*c*d^7 + 4*a^2*b^6*d^8)*x^6 - 735*(15*b^8*c^3*d^5 - 36*a*b^7*c^2*d^6 + 12*a^2*b^6*c*d^7 + 4*a^3*b^5*d^8)*x^5 - 1225*(23*b^8*c^4*d^4 - 44*a*b^7*c^3*d^5 + 12*a^2*b^6*c^2*d^6 + 4*a^3*b^5*c*d^7 + 2*a^4*b^4*d^8)*x^4 - 245*(145*b^8*c^5*d^3 - 250*a*b^7*c^4*d^4 + 60*a^2*b^6*c^3*d^5 + 20*a^3*b^5*c^2*d^6 + 10*a^4*b^4*c*d^7 + 6*a^5*b^3*d^8)*x^3 - 147*(169*b^8*c^6*d^2 - 274*a*b^7*c^5*d^3 + 60*a^2*b^6*c^4*d^4 + 20*a^3*b^5*c^3*d^5 + 10*a^4*b^4*c^2*d^6 + 6*a^5*b^3*c*d^7 + 4*a^6*b^2*d^8)*x^2 - 7*(1323*b^8*c^7*d - 2058*a*b^7*c^6*d^2 + 420*a^2*b^6*c^5*d^3 + 140*a^3*b^5*c^4*d^4 + 70*a^4*b^4*c^3*d^5 + 42*a^5*b^3*c^2*d^6 + 28*a^6*b^2*c*d^7 + 20*a^7*b*d^8)*x - 840*(b^8*c^8 - a*b^7*c^7*d + (b^8*c*d^7 - a*b^7*d^8)*x^7 + 7*(b^8*c^2*d^6 - a*b^7*c*d^7)*x^6 + 21*(b^8*c^3*d^5 - a*b^7*c^2*d^6)*x^5 + 35*(b^8*c^4*d^4 - a*b^7*c^3*d^5)*x^4 + 35*(b^8*c^5*d^3 - a*b^7*c^4*d^4)*x^3 + 21*(b^8*c^6*d^2 - a*b^7*c^5*d^3)*x^2 + 7*(b^8*c^7*d - a*b^7*c^6*d^2)*x)*log(d*x + c))/(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)","B",0
1364,1,625,0,1.119747," ","integrate((b*x+a)^7/(d*x+c)^8,x, algorithm=""fricas"")","\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(b^{7} d^{7} x^{7} + 7 \, b^{7} c d^{6} x^{6} + 21 \, b^{7} c^{2} d^{5} x^{5} + 35 \, b^{7} c^{3} d^{4} x^{4} + 35 \, b^{7} c^{4} d^{3} x^{3} + 21 \, b^{7} c^{5} d^{2} x^{2} + 7 \, b^{7} c^{6} d x + b^{7} c^{7}\right)} \log\left(d x + c\right)}{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)}}"," ",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 + 420*(b^7*d^7*x^7 + 7*b^7*c*d^6*x^6 + 21*b^7*c^2*d^5*x^5 + 35*b^7*c^3*d^4*x^4 + 35*b^7*c^4*d^3*x^3 + 21*b^7*c^5*d^2*x^2 + 7*b^7*c^6*d*x + b^7*c^7)*log(d*x + c))/(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",0
1365,1,398,0,1.380334," ","integrate((b*x+a)^6/(d*x+c)^8,x, algorithm=""fricas"")","-\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
1366,1,326,0,1.311904," ","integrate((b*x+a)^5/(d*x+c)^8,x, algorithm=""fricas"")","-\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
1367,1,247,0,1.064233," ","integrate((b*x+a)^4/(d*x+c)^8,x, algorithm=""fricas"")","-\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
1368,1,182,0,0.956945," ","integrate((b*x+a)^3/(d*x+c)^8,x, algorithm=""fricas"")","-\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
1369,1,131,0,1.255742," ","integrate((b*x+a)^2/(d*x+c)^8,x, algorithm=""fricas"")","-\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
1370,1,94,0,1.202745," ","integrate((b*x+a)/(d*x+c)^8,x, algorithm=""fricas"")","-\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
1371,1,79,0,1.171508," ","integrate(1/(d*x+c)^8,x, algorithm=""fricas"")","-\frac{1}{7 \, {\left(d^{8} x^{7} + 7 \, c d^{7} x^{6} + 21 \, c^{2} d^{6} x^{5} + 35 \, c^{3} d^{5} x^{4} + 35 \, c^{4} d^{4} x^{3} + 21 \, c^{5} d^{3} x^{2} + 7 \, c^{6} d^{2} x + c^{7} d\right)}}"," ",0,"-1/7/(d^8*x^7 + 7*c*d^7*x^6 + 21*c^2*d^6*x^5 + 35*c^3*d^5*x^4 + 35*c^4*d^4*x^3 + 21*c^5*d^3*x^2 + 7*c^6*d^2*x + c^7*d)","B",0
1372,1,1589,0,1.544750," ","integrate(1/(b*x+a)/(d*x+c)^8,x, algorithm=""fricas"")","\frac{1089 \, b^{7} c^{7} - 2940 \, a b^{6} c^{6} d + 4410 \, a^{2} b^{5} c^{5} d^{2} - 4900 \, a^{3} b^{4} c^{4} d^{3} + 3675 \, a^{4} b^{3} c^{3} d^{4} - 1764 \, a^{5} b^{2} c^{2} d^{5} + 490 \, a^{6} b c d^{6} - 60 \, a^{7} d^{7} + 420 \, {\left(b^{7} c d^{6} - a b^{6} d^{7}\right)} x^{6} + 210 \, {\left(13 \, b^{7} c^{2} d^{5} - 14 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 70 \, {\left(107 \, b^{7} c^{3} d^{4} - 126 \, a b^{6} c^{2} d^{5} + 21 \, a^{2} b^{5} c d^{6} - 2 \, a^{3} b^{4} d^{7}\right)} x^{4} + 35 \, {\left(319 \, b^{7} c^{4} d^{3} - 420 \, a b^{6} c^{3} d^{4} + 126 \, a^{2} b^{5} c^{2} d^{5} - 28 \, a^{3} b^{4} c d^{6} + 3 \, a^{4} b^{3} d^{7}\right)} x^{3} + 21 \, {\left(459 \, b^{7} c^{5} d^{2} - 700 \, a b^{6} c^{4} d^{3} + 350 \, a^{2} b^{5} c^{3} d^{4} - 140 \, a^{3} b^{4} c^{2} d^{5} + 35 \, a^{4} b^{3} c d^{6} - 4 \, a^{5} b^{2} d^{7}\right)} x^{2} + 7 \, {\left(669 \, b^{7} c^{6} d - 1260 \, a b^{6} c^{5} d^{2} + 1050 \, a^{2} b^{5} c^{4} d^{3} - 700 \, a^{3} b^{4} c^{3} d^{4} + 315 \, a^{4} b^{3} c^{2} d^{5} - 84 \, a^{5} b^{2} c d^{6} + 10 \, a^{6} b d^{7}\right)} x + 420 \, {\left(b^{7} d^{7} x^{7} + 7 \, b^{7} c d^{6} x^{6} + 21 \, b^{7} c^{2} d^{5} x^{5} + 35 \, b^{7} c^{3} d^{4} x^{4} + 35 \, b^{7} c^{4} d^{3} x^{3} + 21 \, b^{7} c^{5} d^{2} x^{2} + 7 \, b^{7} c^{6} d x + b^{7} c^{7}\right)} \log\left(b x + a\right) - 420 \, {\left(b^{7} d^{7} x^{7} + 7 \, b^{7} c d^{6} x^{6} + 21 \, b^{7} c^{2} d^{5} x^{5} + 35 \, b^{7} c^{3} d^{4} x^{4} + 35 \, b^{7} c^{4} d^{3} x^{3} + 21 \, b^{7} c^{5} d^{2} x^{2} + 7 \, b^{7} c^{6} d x + b^{7} c^{7}\right)} \log\left(d x + c\right)}{420 \, {\left(b^{8} c^{15} - 8 \, a b^{7} c^{14} d + 28 \, a^{2} b^{6} c^{13} d^{2} - 56 \, a^{3} b^{5} c^{12} d^{3} + 70 \, a^{4} b^{4} c^{11} d^{4} - 56 \, a^{5} b^{3} c^{10} d^{5} + 28 \, a^{6} b^{2} c^{9} d^{6} - 8 \, a^{7} b c^{8} d^{7} + a^{8} c^{7} d^{8} + {\left(b^{8} c^{8} d^{7} - 8 \, a b^{7} c^{7} d^{8} + 28 \, a^{2} b^{6} c^{6} d^{9} - 56 \, a^{3} b^{5} c^{5} d^{10} + 70 \, a^{4} b^{4} c^{4} d^{11} - 56 \, a^{5} b^{3} c^{3} d^{12} + 28 \, a^{6} b^{2} c^{2} d^{13} - 8 \, a^{7} b c d^{14} + a^{8} d^{15}\right)} x^{7} + 7 \, {\left(b^{8} c^{9} d^{6} - 8 \, a b^{7} c^{8} d^{7} + 28 \, a^{2} b^{6} c^{7} d^{8} - 56 \, a^{3} b^{5} c^{6} d^{9} + 70 \, a^{4} b^{4} c^{5} d^{10} - 56 \, a^{5} b^{3} c^{4} d^{11} + 28 \, a^{6} b^{2} c^{3} d^{12} - 8 \, a^{7} b c^{2} d^{13} + a^{8} c d^{14}\right)} x^{6} + 21 \, {\left(b^{8} c^{10} d^{5} - 8 \, a b^{7} c^{9} d^{6} + 28 \, a^{2} b^{6} c^{8} d^{7} - 56 \, a^{3} b^{5} c^{7} d^{8} + 70 \, a^{4} b^{4} c^{6} d^{9} - 56 \, a^{5} b^{3} c^{5} d^{10} + 28 \, a^{6} b^{2} c^{4} d^{11} - 8 \, a^{7} b c^{3} d^{12} + a^{8} c^{2} d^{13}\right)} x^{5} + 35 \, {\left(b^{8} c^{11} d^{4} - 8 \, a b^{7} c^{10} d^{5} + 28 \, a^{2} b^{6} c^{9} d^{6} - 56 \, a^{3} b^{5} c^{8} d^{7} + 70 \, a^{4} b^{4} c^{7} d^{8} - 56 \, a^{5} b^{3} c^{6} d^{9} + 28 \, a^{6} b^{2} c^{5} d^{10} - 8 \, a^{7} b c^{4} d^{11} + a^{8} c^{3} d^{12}\right)} x^{4} + 35 \, {\left(b^{8} c^{12} d^{3} - 8 \, a b^{7} c^{11} d^{4} + 28 \, a^{2} b^{6} c^{10} d^{5} - 56 \, a^{3} b^{5} c^{9} d^{6} + 70 \, a^{4} b^{4} c^{8} d^{7} - 56 \, a^{5} b^{3} c^{7} d^{8} + 28 \, a^{6} b^{2} c^{6} d^{9} - 8 \, a^{7} b c^{5} d^{10} + a^{8} c^{4} d^{11}\right)} x^{3} + 21 \, {\left(b^{8} c^{13} d^{2} - 8 \, a b^{7} c^{12} d^{3} + 28 \, a^{2} b^{6} c^{11} d^{4} - 56 \, a^{3} b^{5} c^{10} d^{5} + 70 \, a^{4} b^{4} c^{9} d^{6} - 56 \, a^{5} b^{3} c^{8} d^{7} + 28 \, a^{6} b^{2} c^{7} d^{8} - 8 \, a^{7} b c^{6} d^{9} + a^{8} c^{5} d^{10}\right)} x^{2} + 7 \, {\left(b^{8} c^{14} d - 8 \, a b^{7} c^{13} d^{2} + 28 \, a^{2} b^{6} c^{12} d^{3} - 56 \, a^{3} b^{5} c^{11} d^{4} + 70 \, a^{4} b^{4} c^{10} d^{5} - 56 \, a^{5} b^{3} c^{9} d^{6} + 28 \, a^{6} b^{2} c^{8} d^{7} - 8 \, a^{7} b c^{7} d^{8} + a^{8} c^{6} d^{9}\right)} x\right)}}"," ",0,"1/420*(1089*b^7*c^7 - 2940*a*b^6*c^6*d + 4410*a^2*b^5*c^5*d^2 - 4900*a^3*b^4*c^4*d^3 + 3675*a^4*b^3*c^3*d^4 - 1764*a^5*b^2*c^2*d^5 + 490*a^6*b*c*d^6 - 60*a^7*d^7 + 420*(b^7*c*d^6 - a*b^6*d^7)*x^6 + 210*(13*b^7*c^2*d^5 - 14*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 70*(107*b^7*c^3*d^4 - 126*a*b^6*c^2*d^5 + 21*a^2*b^5*c*d^6 - 2*a^3*b^4*d^7)*x^4 + 35*(319*b^7*c^4*d^3 - 420*a*b^6*c^3*d^4 + 126*a^2*b^5*c^2*d^5 - 28*a^3*b^4*c*d^6 + 3*a^4*b^3*d^7)*x^3 + 21*(459*b^7*c^5*d^2 - 700*a*b^6*c^4*d^3 + 350*a^2*b^5*c^3*d^4 - 140*a^3*b^4*c^2*d^5 + 35*a^4*b^3*c*d^6 - 4*a^5*b^2*d^7)*x^2 + 7*(669*b^7*c^6*d - 1260*a*b^6*c^5*d^2 + 1050*a^2*b^5*c^4*d^3 - 700*a^3*b^4*c^3*d^4 + 315*a^4*b^3*c^2*d^5 - 84*a^5*b^2*c*d^6 + 10*a^6*b*d^7)*x + 420*(b^7*d^7*x^7 + 7*b^7*c*d^6*x^6 + 21*b^7*c^2*d^5*x^5 + 35*b^7*c^3*d^4*x^4 + 35*b^7*c^4*d^3*x^3 + 21*b^7*c^5*d^2*x^2 + 7*b^7*c^6*d*x + b^7*c^7)*log(b*x + a) - 420*(b^7*d^7*x^7 + 7*b^7*c*d^6*x^6 + 21*b^7*c^2*d^5*x^5 + 35*b^7*c^3*d^4*x^4 + 35*b^7*c^4*d^3*x^3 + 21*b^7*c^5*d^2*x^2 + 7*b^7*c^6*d*x + b^7*c^7)*log(d*x + c))/(b^8*c^15 - 8*a*b^7*c^14*d + 28*a^2*b^6*c^13*d^2 - 56*a^3*b^5*c^12*d^3 + 70*a^4*b^4*c^11*d^4 - 56*a^5*b^3*c^10*d^5 + 28*a^6*b^2*c^9*d^6 - 8*a^7*b*c^8*d^7 + a^8*c^7*d^8 + (b^8*c^8*d^7 - 8*a*b^7*c^7*d^8 + 28*a^2*b^6*c^6*d^9 - 56*a^3*b^5*c^5*d^10 + 70*a^4*b^4*c^4*d^11 - 56*a^5*b^3*c^3*d^12 + 28*a^6*b^2*c^2*d^13 - 8*a^7*b*c*d^14 + a^8*d^15)*x^7 + 7*(b^8*c^9*d^6 - 8*a*b^7*c^8*d^7 + 28*a^2*b^6*c^7*d^8 - 56*a^3*b^5*c^6*d^9 + 70*a^4*b^4*c^5*d^10 - 56*a^5*b^3*c^4*d^11 + 28*a^6*b^2*c^3*d^12 - 8*a^7*b*c^2*d^13 + a^8*c*d^14)*x^6 + 21*(b^8*c^10*d^5 - 8*a*b^7*c^9*d^6 + 28*a^2*b^6*c^8*d^7 - 56*a^3*b^5*c^7*d^8 + 70*a^4*b^4*c^6*d^9 - 56*a^5*b^3*c^5*d^10 + 28*a^6*b^2*c^4*d^11 - 8*a^7*b*c^3*d^12 + a^8*c^2*d^13)*x^5 + 35*(b^8*c^11*d^4 - 8*a*b^7*c^10*d^5 + 28*a^2*b^6*c^9*d^6 - 56*a^3*b^5*c^8*d^7 + 70*a^4*b^4*c^7*d^8 - 56*a^5*b^3*c^6*d^9 + 28*a^6*b^2*c^5*d^10 - 8*a^7*b*c^4*d^11 + a^8*c^3*d^12)*x^4 + 35*(b^8*c^12*d^3 - 8*a*b^7*c^11*d^4 + 28*a^2*b^6*c^10*d^5 - 56*a^3*b^5*c^9*d^6 + 70*a^4*b^4*c^8*d^7 - 56*a^5*b^3*c^7*d^8 + 28*a^6*b^2*c^6*d^9 - 8*a^7*b*c^5*d^10 + a^8*c^4*d^11)*x^3 + 21*(b^8*c^13*d^2 - 8*a*b^7*c^12*d^3 + 28*a^2*b^6*c^11*d^4 - 56*a^3*b^5*c^10*d^5 + 70*a^4*b^4*c^9*d^6 - 56*a^5*b^3*c^8*d^7 + 28*a^6*b^2*c^7*d^8 - 8*a^7*b*c^6*d^9 + a^8*c^5*d^10)*x^2 + 7*(b^8*c^14*d - 8*a*b^7*c^13*d^2 + 28*a^2*b^6*c^12*d^3 - 56*a^3*b^5*c^11*d^4 + 70*a^4*b^4*c^10*d^5 - 56*a^5*b^3*c^9*d^6 + 28*a^6*b^2*c^8*d^7 - 8*a^7*b*c^7*d^8 + a^8*c^6*d^9)*x)","B",0
1373,1,2264,0,1.460577," ","integrate(1/(b*x+a)^2/(d*x+c)^8,x, algorithm=""fricas"")","-\frac{105 \, b^{8} c^{8} + 1338 \, a b^{7} c^{7} d - 2940 \, a^{2} b^{6} c^{6} d^{2} + 2940 \, a^{3} b^{5} c^{5} d^{3} - 2450 \, a^{4} b^{4} c^{4} d^{4} + 1470 \, a^{5} b^{3} c^{3} d^{5} - 588 \, a^{6} b^{2} c^{2} d^{6} + 140 \, a^{7} b c d^{7} - 15 \, a^{8} d^{8} + 840 \, {\left(b^{8} c d^{7} - a b^{7} d^{8}\right)} x^{7} + 420 \, {\left(13 \, b^{8} c^{2} d^{6} - 12 \, a b^{7} c d^{7} - a^{2} b^{6} d^{8}\right)} x^{6} + 140 \, {\left(107 \, b^{8} c^{3} d^{5} - 87 \, a b^{7} c^{2} d^{6} - 21 \, a^{2} b^{6} c d^{7} + a^{3} b^{5} d^{8}\right)} x^{5} + 70 \, {\left(319 \, b^{8} c^{4} d^{4} - 206 \, a b^{7} c^{3} d^{5} - 126 \, a^{2} b^{6} c^{2} d^{6} + 14 \, a^{3} b^{5} c d^{7} - a^{4} b^{4} d^{8}\right)} x^{4} + 14 \, {\left(1377 \, b^{8} c^{5} d^{3} - 505 \, a b^{7} c^{4} d^{4} - 1050 \, a^{2} b^{6} c^{3} d^{5} + 210 \, a^{3} b^{5} c^{2} d^{6} - 35 \, a^{4} b^{4} c d^{7} + 3 \, a^{5} b^{3} d^{8}\right)} x^{3} + 14 \, {\left(669 \, b^{8} c^{6} d^{2} + 117 \, a b^{7} c^{5} d^{3} - 1050 \, a^{2} b^{6} c^{4} d^{4} + 350 \, a^{3} b^{5} c^{3} d^{5} - 105 \, a^{4} b^{4} c^{2} d^{6} + 21 \, a^{5} b^{3} c d^{7} - 2 \, a^{6} b^{2} d^{8}\right)} x^{2} + 2 \, {\left(1089 \, b^{8} c^{7} d + 1743 \, a b^{7} c^{6} d^{2} - 4410 \, a^{2} b^{6} c^{5} d^{3} + 2450 \, a^{3} b^{5} c^{4} d^{4} - 1225 \, a^{4} b^{4} c^{3} d^{5} + 441 \, a^{5} b^{3} c^{2} d^{6} - 98 \, a^{6} b^{2} c d^{7} + 10 \, a^{7} b d^{8}\right)} x + 840 \, {\left(b^{8} d^{8} x^{8} + a b^{7} c^{7} d + {\left(7 \, b^{8} c d^{7} + a b^{7} d^{8}\right)} x^{7} + 7 \, {\left(3 \, b^{8} c^{2} d^{6} + a b^{7} c d^{7}\right)} x^{6} + 7 \, {\left(5 \, b^{8} c^{3} d^{5} + 3 \, a b^{7} c^{2} d^{6}\right)} x^{5} + 35 \, {\left(b^{8} c^{4} d^{4} + a b^{7} c^{3} d^{5}\right)} x^{4} + 7 \, {\left(3 \, b^{8} c^{5} d^{3} + 5 \, a b^{7} c^{4} d^{4}\right)} x^{3} + 7 \, {\left(b^{8} c^{6} d^{2} + 3 \, a b^{7} c^{5} d^{3}\right)} x^{2} + {\left(b^{8} c^{7} d + 7 \, a b^{7} c^{6} d^{2}\right)} x\right)} \log\left(b x + a\right) - 840 \, {\left(b^{8} d^{8} x^{8} + a b^{7} c^{7} d + {\left(7 \, b^{8} c d^{7} + a b^{7} d^{8}\right)} x^{7} + 7 \, {\left(3 \, b^{8} c^{2} d^{6} + a b^{7} c d^{7}\right)} x^{6} + 7 \, {\left(5 \, b^{8} c^{3} d^{5} + 3 \, a b^{7} c^{2} d^{6}\right)} x^{5} + 35 \, {\left(b^{8} c^{4} d^{4} + a b^{7} c^{3} d^{5}\right)} x^{4} + 7 \, {\left(3 \, b^{8} c^{5} d^{3} + 5 \, a b^{7} c^{4} d^{4}\right)} x^{3} + 7 \, {\left(b^{8} c^{6} d^{2} + 3 \, a b^{7} c^{5} d^{3}\right)} x^{2} + {\left(b^{8} c^{7} d + 7 \, a b^{7} c^{6} d^{2}\right)} x\right)} \log\left(d x + c\right)}{105 \, {\left(a b^{9} c^{16} - 9 \, a^{2} b^{8} c^{15} d + 36 \, a^{3} b^{7} c^{14} d^{2} - 84 \, a^{4} b^{6} c^{13} d^{3} + 126 \, a^{5} b^{5} c^{12} d^{4} - 126 \, a^{6} b^{4} c^{11} d^{5} + 84 \, a^{7} b^{3} c^{10} d^{6} - 36 \, a^{8} b^{2} c^{9} d^{7} + 9 \, a^{9} b c^{8} d^{8} - a^{10} c^{7} d^{9} + {\left(b^{10} c^{9} d^{7} - 9 \, a b^{9} c^{8} d^{8} + 36 \, a^{2} b^{8} c^{7} d^{9} - 84 \, a^{3} b^{7} c^{6} d^{10} + 126 \, a^{4} b^{6} c^{5} d^{11} - 126 \, a^{5} b^{5} c^{4} d^{12} + 84 \, a^{6} b^{4} c^{3} d^{13} - 36 \, a^{7} b^{3} c^{2} d^{14} + 9 \, a^{8} b^{2} c d^{15} - a^{9} b d^{16}\right)} x^{8} + {\left(7 \, b^{10} c^{10} d^{6} - 62 \, a b^{9} c^{9} d^{7} + 243 \, a^{2} b^{8} c^{8} d^{8} - 552 \, a^{3} b^{7} c^{7} d^{9} + 798 \, a^{4} b^{6} c^{6} d^{10} - 756 \, a^{5} b^{5} c^{5} d^{11} + 462 \, a^{6} b^{4} c^{4} d^{12} - 168 \, a^{7} b^{3} c^{3} d^{13} + 27 \, a^{8} b^{2} c^{2} d^{14} + 2 \, a^{9} b c d^{15} - a^{10} d^{16}\right)} x^{7} + 7 \, {\left(3 \, b^{10} c^{11} d^{5} - 26 \, a b^{9} c^{10} d^{6} + 99 \, a^{2} b^{8} c^{9} d^{7} - 216 \, a^{3} b^{7} c^{8} d^{8} + 294 \, a^{4} b^{6} c^{7} d^{9} - 252 \, a^{5} b^{5} c^{6} d^{10} + 126 \, a^{6} b^{4} c^{5} d^{11} - 24 \, a^{7} b^{3} c^{4} d^{12} - 9 \, a^{8} b^{2} c^{3} d^{13} + 6 \, a^{9} b c^{2} d^{14} - a^{10} c d^{15}\right)} x^{6} + 7 \, {\left(5 \, b^{10} c^{12} d^{4} - 42 \, a b^{9} c^{11} d^{5} + 153 \, a^{2} b^{8} c^{10} d^{6} - 312 \, a^{3} b^{7} c^{9} d^{7} + 378 \, a^{4} b^{6} c^{8} d^{8} - 252 \, a^{5} b^{5} c^{7} d^{9} + 42 \, a^{6} b^{4} c^{6} d^{10} + 72 \, a^{7} b^{3} c^{5} d^{11} - 63 \, a^{8} b^{2} c^{4} d^{12} + 22 \, a^{9} b c^{3} d^{13} - 3 \, a^{10} c^{2} d^{14}\right)} x^{5} + 35 \, {\left(b^{10} c^{13} d^{3} - 8 \, a b^{9} c^{12} d^{4} + 27 \, a^{2} b^{8} c^{11} d^{5} - 48 \, a^{3} b^{7} c^{10} d^{6} + 42 \, a^{4} b^{6} c^{9} d^{7} - 42 \, a^{6} b^{4} c^{7} d^{9} + 48 \, a^{7} b^{3} c^{6} d^{10} - 27 \, a^{8} b^{2} c^{5} d^{11} + 8 \, a^{9} b c^{4} d^{12} - a^{10} c^{3} d^{13}\right)} x^{4} + 7 \, {\left(3 \, b^{10} c^{14} d^{2} - 22 \, a b^{9} c^{13} d^{3} + 63 \, a^{2} b^{8} c^{12} d^{4} - 72 \, a^{3} b^{7} c^{11} d^{5} - 42 \, a^{4} b^{6} c^{10} d^{6} + 252 \, a^{5} b^{5} c^{9} d^{7} - 378 \, a^{6} b^{4} c^{8} d^{8} + 312 \, a^{7} b^{3} c^{7} d^{9} - 153 \, a^{8} b^{2} c^{6} d^{10} + 42 \, a^{9} b c^{5} d^{11} - 5 \, a^{10} c^{4} d^{12}\right)} x^{3} + 7 \, {\left(b^{10} c^{15} d - 6 \, a b^{9} c^{14} d^{2} + 9 \, a^{2} b^{8} c^{13} d^{3} + 24 \, a^{3} b^{7} c^{12} d^{4} - 126 \, a^{4} b^{6} c^{11} d^{5} + 252 \, a^{5} b^{5} c^{10} d^{6} - 294 \, a^{6} b^{4} c^{9} d^{7} + 216 \, a^{7} b^{3} c^{8} d^{8} - 99 \, a^{8} b^{2} c^{7} d^{9} + 26 \, a^{9} b c^{6} d^{10} - 3 \, a^{10} c^{5} d^{11}\right)} x^{2} + {\left(b^{10} c^{16} - 2 \, a b^{9} c^{15} d - 27 \, a^{2} b^{8} c^{14} d^{2} + 168 \, a^{3} b^{7} c^{13} d^{3} - 462 \, a^{4} b^{6} c^{12} d^{4} + 756 \, a^{5} b^{5} c^{11} d^{5} - 798 \, a^{6} b^{4} c^{10} d^{6} + 552 \, a^{7} b^{3} c^{9} d^{7} - 243 \, a^{8} b^{2} c^{8} d^{8} + 62 \, a^{9} b c^{7} d^{9} - 7 \, a^{10} c^{6} d^{10}\right)} x\right)}}"," ",0,"-1/105*(105*b^8*c^8 + 1338*a*b^7*c^7*d - 2940*a^2*b^6*c^6*d^2 + 2940*a^3*b^5*c^5*d^3 - 2450*a^4*b^4*c^4*d^4 + 1470*a^5*b^3*c^3*d^5 - 588*a^6*b^2*c^2*d^6 + 140*a^7*b*c*d^7 - 15*a^8*d^8 + 840*(b^8*c*d^7 - a*b^7*d^8)*x^7 + 420*(13*b^8*c^2*d^6 - 12*a*b^7*c*d^7 - a^2*b^6*d^8)*x^6 + 140*(107*b^8*c^3*d^5 - 87*a*b^7*c^2*d^6 - 21*a^2*b^6*c*d^7 + a^3*b^5*d^8)*x^5 + 70*(319*b^8*c^4*d^4 - 206*a*b^7*c^3*d^5 - 126*a^2*b^6*c^2*d^6 + 14*a^3*b^5*c*d^7 - a^4*b^4*d^8)*x^4 + 14*(1377*b^8*c^5*d^3 - 505*a*b^7*c^4*d^4 - 1050*a^2*b^6*c^3*d^5 + 210*a^3*b^5*c^2*d^6 - 35*a^4*b^4*c*d^7 + 3*a^5*b^3*d^8)*x^3 + 14*(669*b^8*c^6*d^2 + 117*a*b^7*c^5*d^3 - 1050*a^2*b^6*c^4*d^4 + 350*a^3*b^5*c^3*d^5 - 105*a^4*b^4*c^2*d^6 + 21*a^5*b^3*c*d^7 - 2*a^6*b^2*d^8)*x^2 + 2*(1089*b^8*c^7*d + 1743*a*b^7*c^6*d^2 - 4410*a^2*b^6*c^5*d^3 + 2450*a^3*b^5*c^4*d^4 - 1225*a^4*b^4*c^3*d^5 + 441*a^5*b^3*c^2*d^6 - 98*a^6*b^2*c*d^7 + 10*a^7*b*d^8)*x + 840*(b^8*d^8*x^8 + a*b^7*c^7*d + (7*b^8*c*d^7 + a*b^7*d^8)*x^7 + 7*(3*b^8*c^2*d^6 + a*b^7*c*d^7)*x^6 + 7*(5*b^8*c^3*d^5 + 3*a*b^7*c^2*d^6)*x^5 + 35*(b^8*c^4*d^4 + a*b^7*c^3*d^5)*x^4 + 7*(3*b^8*c^5*d^3 + 5*a*b^7*c^4*d^4)*x^3 + 7*(b^8*c^6*d^2 + 3*a*b^7*c^5*d^3)*x^2 + (b^8*c^7*d + 7*a*b^7*c^6*d^2)*x)*log(b*x + a) - 840*(b^8*d^8*x^8 + a*b^7*c^7*d + (7*b^8*c*d^7 + a*b^7*d^8)*x^7 + 7*(3*b^8*c^2*d^6 + a*b^7*c*d^7)*x^6 + 7*(5*b^8*c^3*d^5 + 3*a*b^7*c^2*d^6)*x^5 + 35*(b^8*c^4*d^4 + a*b^7*c^3*d^5)*x^4 + 7*(3*b^8*c^5*d^3 + 5*a*b^7*c^4*d^4)*x^3 + 7*(b^8*c^6*d^2 + 3*a*b^7*c^5*d^3)*x^2 + (b^8*c^7*d + 7*a*b^7*c^6*d^2)*x)*log(d*x + c))/(a*b^9*c^16 - 9*a^2*b^8*c^15*d + 36*a^3*b^7*c^14*d^2 - 84*a^4*b^6*c^13*d^3 + 126*a^5*b^5*c^12*d^4 - 126*a^6*b^4*c^11*d^5 + 84*a^7*b^3*c^10*d^6 - 36*a^8*b^2*c^9*d^7 + 9*a^9*b*c^8*d^8 - a^10*c^7*d^9 + (b^10*c^9*d^7 - 9*a*b^9*c^8*d^8 + 36*a^2*b^8*c^7*d^9 - 84*a^3*b^7*c^6*d^10 + 126*a^4*b^6*c^5*d^11 - 126*a^5*b^5*c^4*d^12 + 84*a^6*b^4*c^3*d^13 - 36*a^7*b^3*c^2*d^14 + 9*a^8*b^2*c*d^15 - a^9*b*d^16)*x^8 + (7*b^10*c^10*d^6 - 62*a*b^9*c^9*d^7 + 243*a^2*b^8*c^8*d^8 - 552*a^3*b^7*c^7*d^9 + 798*a^4*b^6*c^6*d^10 - 756*a^5*b^5*c^5*d^11 + 462*a^6*b^4*c^4*d^12 - 168*a^7*b^3*c^3*d^13 + 27*a^8*b^2*c^2*d^14 + 2*a^9*b*c*d^15 - a^10*d^16)*x^7 + 7*(3*b^10*c^11*d^5 - 26*a*b^9*c^10*d^6 + 99*a^2*b^8*c^9*d^7 - 216*a^3*b^7*c^8*d^8 + 294*a^4*b^6*c^7*d^9 - 252*a^5*b^5*c^6*d^10 + 126*a^6*b^4*c^5*d^11 - 24*a^7*b^3*c^4*d^12 - 9*a^8*b^2*c^3*d^13 + 6*a^9*b*c^2*d^14 - a^10*c*d^15)*x^6 + 7*(5*b^10*c^12*d^4 - 42*a*b^9*c^11*d^5 + 153*a^2*b^8*c^10*d^6 - 312*a^3*b^7*c^9*d^7 + 378*a^4*b^6*c^8*d^8 - 252*a^5*b^5*c^7*d^9 + 42*a^6*b^4*c^6*d^10 + 72*a^7*b^3*c^5*d^11 - 63*a^8*b^2*c^4*d^12 + 22*a^9*b*c^3*d^13 - 3*a^10*c^2*d^14)*x^5 + 35*(b^10*c^13*d^3 - 8*a*b^9*c^12*d^4 + 27*a^2*b^8*c^11*d^5 - 48*a^3*b^7*c^10*d^6 + 42*a^4*b^6*c^9*d^7 - 42*a^6*b^4*c^7*d^9 + 48*a^7*b^3*c^6*d^10 - 27*a^8*b^2*c^5*d^11 + 8*a^9*b*c^4*d^12 - a^10*c^3*d^13)*x^4 + 7*(3*b^10*c^14*d^2 - 22*a*b^9*c^13*d^3 + 63*a^2*b^8*c^12*d^4 - 72*a^3*b^7*c^11*d^5 - 42*a^4*b^6*c^10*d^6 + 252*a^5*b^5*c^9*d^7 - 378*a^6*b^4*c^8*d^8 + 312*a^7*b^3*c^7*d^9 - 153*a^8*b^2*c^6*d^10 + 42*a^9*b*c^5*d^11 - 5*a^10*c^4*d^12)*x^3 + 7*(b^10*c^15*d - 6*a*b^9*c^14*d^2 + 9*a^2*b^8*c^13*d^3 + 24*a^3*b^7*c^12*d^4 - 126*a^4*b^6*c^11*d^5 + 252*a^5*b^5*c^10*d^6 - 294*a^6*b^4*c^9*d^7 + 216*a^7*b^3*c^8*d^8 - 99*a^8*b^2*c^7*d^9 + 26*a^9*b*c^6*d^10 - 3*a^10*c^5*d^11)*x^2 + (b^10*c^16 - 2*a*b^9*c^15*d - 27*a^2*b^8*c^14*d^2 + 168*a^3*b^7*c^13*d^3 - 462*a^4*b^6*c^12*d^4 + 756*a^5*b^5*c^11*d^5 - 798*a^6*b^4*c^10*d^6 + 552*a^7*b^3*c^9*d^7 - 243*a^8*b^2*c^8*d^8 + 62*a^9*b*c^7*d^9 - 7*a^10*c^6*d^10)*x)","B",0
1374,1,3016,0,1.588396," ","integrate(1/(b*x+a)^3/(d*x+c)^8,x, algorithm=""fricas"")","-\frac{35 \, b^{9} c^{9} - 630 \, a b^{8} c^{8} d - 2754 \, a^{2} b^{7} c^{7} d^{2} + 5880 \, a^{3} b^{6} c^{6} d^{3} - 4410 \, a^{4} b^{5} c^{5} d^{4} + 2940 \, a^{5} b^{4} c^{4} d^{5} - 1470 \, a^{6} b^{3} c^{3} d^{6} + 504 \, a^{7} b^{2} c^{2} d^{7} - 105 \, a^{8} b c d^{8} + 10 \, a^{9} d^{9} - 2520 \, {\left(b^{9} c d^{8} - a b^{8} d^{9}\right)} x^{8} - 1260 \, {\left(13 \, b^{9} c^{2} d^{7} - 10 \, a b^{8} c d^{8} - 3 \, a^{2} b^{7} d^{9}\right)} x^{7} - 420 \, {\left(107 \, b^{9} c^{3} d^{6} - 48 \, a b^{8} c^{2} d^{7} - 57 \, a^{2} b^{7} c d^{8} - 2 \, a^{3} b^{6} d^{9}\right)} x^{6} - 210 \, {\left(319 \, b^{9} c^{4} d^{5} + 8 \, a b^{8} c^{3} d^{6} - 300 \, a^{2} b^{7} c^{2} d^{7} - 28 \, a^{3} b^{6} c d^{8} + a^{4} b^{5} d^{9}\right)} x^{5} - 42 \, {\left(1377 \, b^{9} c^{5} d^{4} + 1090 \, a b^{8} c^{4} d^{5} - 2080 \, a^{2} b^{7} c^{3} d^{6} - 420 \, a^{3} b^{6} c^{2} d^{7} + 35 \, a^{4} b^{5} c d^{8} - 2 \, a^{5} b^{4} d^{9}\right)} x^{4} - 42 \, {\left(669 \, b^{9} c^{6} d^{3} + 1494 \, a b^{8} c^{5} d^{4} - 1555 \, a^{2} b^{7} c^{4} d^{5} - 700 \, a^{3} b^{6} c^{3} d^{6} + 105 \, a^{4} b^{5} c^{2} d^{7} - 14 \, a^{5} b^{4} c d^{8} + a^{6} b^{3} d^{9}\right)} x^{3} - 6 \, {\left(1089 \, b^{9} c^{7} d^{2} + 6426 \, a b^{8} c^{6} d^{3} - 3591 \, a^{2} b^{7} c^{5} d^{4} - 4900 \, a^{3} b^{6} c^{4} d^{5} + 1225 \, a^{4} b^{5} c^{3} d^{6} - 294 \, a^{5} b^{4} c^{2} d^{7} + 49 \, a^{6} b^{3} c d^{8} - 4 \, a^{7} b^{2} d^{9}\right)} x^{2} - 3 \, {\left(105 \, b^{9} c^{8} d + 3516 \, a b^{8} c^{7} d^{2} + 546 \, a^{2} b^{7} c^{6} d^{3} - 5880 \, a^{3} b^{6} c^{5} d^{4} + 2450 \, a^{4} b^{5} c^{4} d^{5} - 980 \, a^{5} b^{4} c^{3} d^{6} + 294 \, a^{6} b^{3} c^{2} d^{7} - 56 \, a^{7} b^{2} c d^{8} + 5 \, a^{8} b d^{9}\right)} x - 2520 \, {\left(b^{9} d^{9} x^{9} + a^{2} b^{7} c^{7} d^{2} + {\left(7 \, b^{9} c d^{8} + 2 \, a b^{8} d^{9}\right)} x^{8} + {\left(21 \, b^{9} c^{2} d^{7} + 14 \, a b^{8} c d^{8} + a^{2} b^{7} d^{9}\right)} x^{7} + 7 \, {\left(5 \, b^{9} c^{3} d^{6} + 6 \, a b^{8} c^{2} d^{7} + a^{2} b^{7} c d^{8}\right)} x^{6} + 7 \, {\left(5 \, b^{9} c^{4} d^{5} + 10 \, a b^{8} c^{3} d^{6} + 3 \, a^{2} b^{7} c^{2} d^{7}\right)} x^{5} + 7 \, {\left(3 \, b^{9} c^{5} d^{4} + 10 \, a b^{8} c^{4} d^{5} + 5 \, a^{2} b^{7} c^{3} d^{6}\right)} x^{4} + 7 \, {\left(b^{9} c^{6} d^{3} + 6 \, a b^{8} c^{5} d^{4} + 5 \, a^{2} b^{7} c^{4} d^{5}\right)} x^{3} + {\left(b^{9} c^{7} d^{2} + 14 \, a b^{8} c^{6} d^{3} + 21 \, a^{2} b^{7} c^{5} d^{4}\right)} x^{2} + {\left(2 \, a b^{8} c^{7} d^{2} + 7 \, a^{2} b^{7} c^{6} d^{3}\right)} x\right)} \log\left(b x + a\right) + 2520 \, {\left(b^{9} d^{9} x^{9} + a^{2} b^{7} c^{7} d^{2} + {\left(7 \, b^{9} c d^{8} + 2 \, a b^{8} d^{9}\right)} x^{8} + {\left(21 \, b^{9} c^{2} d^{7} + 14 \, a b^{8} c d^{8} + a^{2} b^{7} d^{9}\right)} x^{7} + 7 \, {\left(5 \, b^{9} c^{3} d^{6} + 6 \, a b^{8} c^{2} d^{7} + a^{2} b^{7} c d^{8}\right)} x^{6} + 7 \, {\left(5 \, b^{9} c^{4} d^{5} + 10 \, a b^{8} c^{3} d^{6} + 3 \, a^{2} b^{7} c^{2} d^{7}\right)} x^{5} + 7 \, {\left(3 \, b^{9} c^{5} d^{4} + 10 \, a b^{8} c^{4} d^{5} + 5 \, a^{2} b^{7} c^{3} d^{6}\right)} x^{4} + 7 \, {\left(b^{9} c^{6} d^{3} + 6 \, a b^{8} c^{5} d^{4} + 5 \, a^{2} b^{7} c^{4} d^{5}\right)} x^{3} + {\left(b^{9} c^{7} d^{2} + 14 \, a b^{8} c^{6} d^{3} + 21 \, a^{2} b^{7} c^{5} d^{4}\right)} x^{2} + {\left(2 \, a b^{8} c^{7} d^{2} + 7 \, a^{2} b^{7} c^{6} d^{3}\right)} x\right)} \log\left(d x + c\right)}{70 \, {\left(a^{2} b^{10} c^{17} - 10 \, a^{3} b^{9} c^{16} d + 45 \, a^{4} b^{8} c^{15} d^{2} - 120 \, a^{5} b^{7} c^{14} d^{3} + 210 \, a^{6} b^{6} c^{13} d^{4} - 252 \, a^{7} b^{5} c^{12} d^{5} + 210 \, a^{8} b^{4} c^{11} d^{6} - 120 \, a^{9} b^{3} c^{10} d^{7} + 45 \, a^{10} b^{2} c^{9} d^{8} - 10 \, a^{11} b c^{8} d^{9} + a^{12} c^{7} d^{10} + {\left(b^{12} c^{10} d^{7} - 10 \, a b^{11} c^{9} d^{8} + 45 \, a^{2} b^{10} c^{8} d^{9} - 120 \, a^{3} b^{9} c^{7} d^{10} + 210 \, a^{4} b^{8} c^{6} d^{11} - 252 \, a^{5} b^{7} c^{5} d^{12} + 210 \, a^{6} b^{6} c^{4} d^{13} - 120 \, a^{7} b^{5} c^{3} d^{14} + 45 \, a^{8} b^{4} c^{2} d^{15} - 10 \, a^{9} b^{3} c d^{16} + a^{10} b^{2} d^{17}\right)} x^{9} + {\left(7 \, b^{12} c^{11} d^{6} - 68 \, a b^{11} c^{10} d^{7} + 295 \, a^{2} b^{10} c^{9} d^{8} - 750 \, a^{3} b^{9} c^{8} d^{9} + 1230 \, a^{4} b^{8} c^{7} d^{10} - 1344 \, a^{5} b^{7} c^{6} d^{11} + 966 \, a^{6} b^{6} c^{5} d^{12} - 420 \, a^{7} b^{5} c^{4} d^{13} + 75 \, a^{8} b^{4} c^{3} d^{14} + 20 \, a^{9} b^{3} c^{2} d^{15} - 13 \, a^{10} b^{2} c d^{16} + 2 \, a^{11} b d^{17}\right)} x^{8} + {\left(21 \, b^{12} c^{12} d^{5} - 196 \, a b^{11} c^{11} d^{6} + 806 \, a^{2} b^{10} c^{10} d^{7} - 1900 \, a^{3} b^{9} c^{9} d^{8} + 2775 \, a^{4} b^{8} c^{8} d^{9} - 2472 \, a^{5} b^{7} c^{7} d^{10} + 1092 \, a^{6} b^{6} c^{6} d^{11} + 168 \, a^{7} b^{5} c^{5} d^{12} - 525 \, a^{8} b^{4} c^{4} d^{13} + 300 \, a^{9} b^{3} c^{3} d^{14} - 74 \, a^{10} b^{2} c^{2} d^{15} + 4 \, a^{11} b c d^{16} + a^{12} d^{17}\right)} x^{7} + 7 \, {\left(5 \, b^{12} c^{13} d^{4} - 44 \, a b^{11} c^{12} d^{5} + 166 \, a^{2} b^{10} c^{11} d^{6} - 340 \, a^{3} b^{9} c^{10} d^{7} + 375 \, a^{4} b^{8} c^{9} d^{8} - 120 \, a^{5} b^{7} c^{8} d^{9} - 252 \, a^{6} b^{6} c^{7} d^{10} + 408 \, a^{7} b^{5} c^{6} d^{11} - 285 \, a^{8} b^{4} c^{5} d^{12} + 100 \, a^{9} b^{3} c^{4} d^{13} - 10 \, a^{10} b^{2} c^{3} d^{14} - 4 \, a^{11} b c^{2} d^{15} + a^{12} c d^{16}\right)} x^{6} + 7 \, {\left(5 \, b^{12} c^{14} d^{3} - 40 \, a b^{11} c^{13} d^{4} + 128 \, a^{2} b^{10} c^{12} d^{5} - 180 \, a^{3} b^{9} c^{11} d^{6} - 15 \, a^{4} b^{8} c^{10} d^{7} + 480 \, a^{5} b^{7} c^{9} d^{8} - 840 \, a^{6} b^{6} c^{8} d^{9} + 744 \, a^{7} b^{5} c^{7} d^{10} - 345 \, a^{8} b^{4} c^{6} d^{11} + 40 \, a^{9} b^{3} c^{5} d^{12} + 40 \, a^{10} b^{2} c^{4} d^{13} - 20 \, a^{11} b c^{3} d^{14} + 3 \, a^{12} c^{2} d^{15}\right)} x^{5} + 7 \, {\left(3 \, b^{12} c^{15} d^{2} - 20 \, a b^{11} c^{14} d^{3} + 40 \, a^{2} b^{10} c^{13} d^{4} + 40 \, a^{3} b^{9} c^{12} d^{5} - 345 \, a^{4} b^{8} c^{11} d^{6} + 744 \, a^{5} b^{7} c^{10} d^{7} - 840 \, a^{6} b^{6} c^{9} d^{8} + 480 \, a^{7} b^{5} c^{8} d^{9} - 15 \, a^{8} b^{4} c^{7} d^{10} - 180 \, a^{9} b^{3} c^{6} d^{11} + 128 \, a^{10} b^{2} c^{5} d^{12} - 40 \, a^{11} b c^{4} d^{13} + 5 \, a^{12} c^{3} d^{14}\right)} x^{4} + 7 \, {\left(b^{12} c^{16} d - 4 \, a b^{11} c^{15} d^{2} - 10 \, a^{2} b^{10} c^{14} d^{3} + 100 \, a^{3} b^{9} c^{13} d^{4} - 285 \, a^{4} b^{8} c^{12} d^{5} + 408 \, a^{5} b^{7} c^{11} d^{6} - 252 \, a^{6} b^{6} c^{10} d^{7} - 120 \, a^{7} b^{5} c^{9} d^{8} + 375 \, a^{8} b^{4} c^{8} d^{9} - 340 \, a^{9} b^{3} c^{7} d^{10} + 166 \, a^{10} b^{2} c^{6} d^{11} - 44 \, a^{11} b c^{5} d^{12} + 5 \, a^{12} c^{4} d^{13}\right)} x^{3} + {\left(b^{12} c^{17} + 4 \, a b^{11} c^{16} d - 74 \, a^{2} b^{10} c^{15} d^{2} + 300 \, a^{3} b^{9} c^{14} d^{3} - 525 \, a^{4} b^{8} c^{13} d^{4} + 168 \, a^{5} b^{7} c^{12} d^{5} + 1092 \, a^{6} b^{6} c^{11} d^{6} - 2472 \, a^{7} b^{5} c^{10} d^{7} + 2775 \, a^{8} b^{4} c^{9} d^{8} - 1900 \, a^{9} b^{3} c^{8} d^{9} + 806 \, a^{10} b^{2} c^{7} d^{10} - 196 \, a^{11} b c^{6} d^{11} + 21 \, a^{12} c^{5} d^{12}\right)} x^{2} + {\left(2 \, a b^{11} c^{17} - 13 \, a^{2} b^{10} c^{16} d + 20 \, a^{3} b^{9} c^{15} d^{2} + 75 \, a^{4} b^{8} c^{14} d^{3} - 420 \, a^{5} b^{7} c^{13} d^{4} + 966 \, a^{6} b^{6} c^{12} d^{5} - 1344 \, a^{7} b^{5} c^{11} d^{6} + 1230 \, a^{8} b^{4} c^{10} d^{7} - 750 \, a^{9} b^{3} c^{9} d^{8} + 295 \, a^{10} b^{2} c^{8} d^{9} - 68 \, a^{11} b c^{7} d^{10} + 7 \, a^{12} c^{6} d^{11}\right)} x\right)}}"," ",0,"-1/70*(35*b^9*c^9 - 630*a*b^8*c^8*d - 2754*a^2*b^7*c^7*d^2 + 5880*a^3*b^6*c^6*d^3 - 4410*a^4*b^5*c^5*d^4 + 2940*a^5*b^4*c^4*d^5 - 1470*a^6*b^3*c^3*d^6 + 504*a^7*b^2*c^2*d^7 - 105*a^8*b*c*d^8 + 10*a^9*d^9 - 2520*(b^9*c*d^8 - a*b^8*d^9)*x^8 - 1260*(13*b^9*c^2*d^7 - 10*a*b^8*c*d^8 - 3*a^2*b^7*d^9)*x^7 - 420*(107*b^9*c^3*d^6 - 48*a*b^8*c^2*d^7 - 57*a^2*b^7*c*d^8 - 2*a^3*b^6*d^9)*x^6 - 210*(319*b^9*c^4*d^5 + 8*a*b^8*c^3*d^6 - 300*a^2*b^7*c^2*d^7 - 28*a^3*b^6*c*d^8 + a^4*b^5*d^9)*x^5 - 42*(1377*b^9*c^5*d^4 + 1090*a*b^8*c^4*d^5 - 2080*a^2*b^7*c^3*d^6 - 420*a^3*b^6*c^2*d^7 + 35*a^4*b^5*c*d^8 - 2*a^5*b^4*d^9)*x^4 - 42*(669*b^9*c^6*d^3 + 1494*a*b^8*c^5*d^4 - 1555*a^2*b^7*c^4*d^5 - 700*a^3*b^6*c^3*d^6 + 105*a^4*b^5*c^2*d^7 - 14*a^5*b^4*c*d^8 + a^6*b^3*d^9)*x^3 - 6*(1089*b^9*c^7*d^2 + 6426*a*b^8*c^6*d^3 - 3591*a^2*b^7*c^5*d^4 - 4900*a^3*b^6*c^4*d^5 + 1225*a^4*b^5*c^3*d^6 - 294*a^5*b^4*c^2*d^7 + 49*a^6*b^3*c*d^8 - 4*a^7*b^2*d^9)*x^2 - 3*(105*b^9*c^8*d + 3516*a*b^8*c^7*d^2 + 546*a^2*b^7*c^6*d^3 - 5880*a^3*b^6*c^5*d^4 + 2450*a^4*b^5*c^4*d^5 - 980*a^5*b^4*c^3*d^6 + 294*a^6*b^3*c^2*d^7 - 56*a^7*b^2*c*d^8 + 5*a^8*b*d^9)*x - 2520*(b^9*d^9*x^9 + a^2*b^7*c^7*d^2 + (7*b^9*c*d^8 + 2*a*b^8*d^9)*x^8 + (21*b^9*c^2*d^7 + 14*a*b^8*c*d^8 + a^2*b^7*d^9)*x^7 + 7*(5*b^9*c^3*d^6 + 6*a*b^8*c^2*d^7 + a^2*b^7*c*d^8)*x^6 + 7*(5*b^9*c^4*d^5 + 10*a*b^8*c^3*d^6 + 3*a^2*b^7*c^2*d^7)*x^5 + 7*(3*b^9*c^5*d^4 + 10*a*b^8*c^4*d^5 + 5*a^2*b^7*c^3*d^6)*x^4 + 7*(b^9*c^6*d^3 + 6*a*b^8*c^5*d^4 + 5*a^2*b^7*c^4*d^5)*x^3 + (b^9*c^7*d^2 + 14*a*b^8*c^6*d^3 + 21*a^2*b^7*c^5*d^4)*x^2 + (2*a*b^8*c^7*d^2 + 7*a^2*b^7*c^6*d^3)*x)*log(b*x + a) + 2520*(b^9*d^9*x^9 + a^2*b^7*c^7*d^2 + (7*b^9*c*d^8 + 2*a*b^8*d^9)*x^8 + (21*b^9*c^2*d^7 + 14*a*b^8*c*d^8 + a^2*b^7*d^9)*x^7 + 7*(5*b^9*c^3*d^6 + 6*a*b^8*c^2*d^7 + a^2*b^7*c*d^8)*x^6 + 7*(5*b^9*c^4*d^5 + 10*a*b^8*c^3*d^6 + 3*a^2*b^7*c^2*d^7)*x^5 + 7*(3*b^9*c^5*d^4 + 10*a*b^8*c^4*d^5 + 5*a^2*b^7*c^3*d^6)*x^4 + 7*(b^9*c^6*d^3 + 6*a*b^8*c^5*d^4 + 5*a^2*b^7*c^4*d^5)*x^3 + (b^9*c^7*d^2 + 14*a*b^8*c^6*d^3 + 21*a^2*b^7*c^5*d^4)*x^2 + (2*a*b^8*c^7*d^2 + 7*a^2*b^7*c^6*d^3)*x)*log(d*x + c))/(a^2*b^10*c^17 - 10*a^3*b^9*c^16*d + 45*a^4*b^8*c^15*d^2 - 120*a^5*b^7*c^14*d^3 + 210*a^6*b^6*c^13*d^4 - 252*a^7*b^5*c^12*d^5 + 210*a^8*b^4*c^11*d^6 - 120*a^9*b^3*c^10*d^7 + 45*a^10*b^2*c^9*d^8 - 10*a^11*b*c^8*d^9 + a^12*c^7*d^10 + (b^12*c^10*d^7 - 10*a*b^11*c^9*d^8 + 45*a^2*b^10*c^8*d^9 - 120*a^3*b^9*c^7*d^10 + 210*a^4*b^8*c^6*d^11 - 252*a^5*b^7*c^5*d^12 + 210*a^6*b^6*c^4*d^13 - 120*a^7*b^5*c^3*d^14 + 45*a^8*b^4*c^2*d^15 - 10*a^9*b^3*c*d^16 + a^10*b^2*d^17)*x^9 + (7*b^12*c^11*d^6 - 68*a*b^11*c^10*d^7 + 295*a^2*b^10*c^9*d^8 - 750*a^3*b^9*c^8*d^9 + 1230*a^4*b^8*c^7*d^10 - 1344*a^5*b^7*c^6*d^11 + 966*a^6*b^6*c^5*d^12 - 420*a^7*b^5*c^4*d^13 + 75*a^8*b^4*c^3*d^14 + 20*a^9*b^3*c^2*d^15 - 13*a^10*b^2*c*d^16 + 2*a^11*b*d^17)*x^8 + (21*b^12*c^12*d^5 - 196*a*b^11*c^11*d^6 + 806*a^2*b^10*c^10*d^7 - 1900*a^3*b^9*c^9*d^8 + 2775*a^4*b^8*c^8*d^9 - 2472*a^5*b^7*c^7*d^10 + 1092*a^6*b^6*c^6*d^11 + 168*a^7*b^5*c^5*d^12 - 525*a^8*b^4*c^4*d^13 + 300*a^9*b^3*c^3*d^14 - 74*a^10*b^2*c^2*d^15 + 4*a^11*b*c*d^16 + a^12*d^17)*x^7 + 7*(5*b^12*c^13*d^4 - 44*a*b^11*c^12*d^5 + 166*a^2*b^10*c^11*d^6 - 340*a^3*b^9*c^10*d^7 + 375*a^4*b^8*c^9*d^8 - 120*a^5*b^7*c^8*d^9 - 252*a^6*b^6*c^7*d^10 + 408*a^7*b^5*c^6*d^11 - 285*a^8*b^4*c^5*d^12 + 100*a^9*b^3*c^4*d^13 - 10*a^10*b^2*c^3*d^14 - 4*a^11*b*c^2*d^15 + a^12*c*d^16)*x^6 + 7*(5*b^12*c^14*d^3 - 40*a*b^11*c^13*d^4 + 128*a^2*b^10*c^12*d^5 - 180*a^3*b^9*c^11*d^6 - 15*a^4*b^8*c^10*d^7 + 480*a^5*b^7*c^9*d^8 - 840*a^6*b^6*c^8*d^9 + 744*a^7*b^5*c^7*d^10 - 345*a^8*b^4*c^6*d^11 + 40*a^9*b^3*c^5*d^12 + 40*a^10*b^2*c^4*d^13 - 20*a^11*b*c^3*d^14 + 3*a^12*c^2*d^15)*x^5 + 7*(3*b^12*c^15*d^2 - 20*a*b^11*c^14*d^3 + 40*a^2*b^10*c^13*d^4 + 40*a^3*b^9*c^12*d^5 - 345*a^4*b^8*c^11*d^6 + 744*a^5*b^7*c^10*d^7 - 840*a^6*b^6*c^9*d^8 + 480*a^7*b^5*c^8*d^9 - 15*a^8*b^4*c^7*d^10 - 180*a^9*b^3*c^6*d^11 + 128*a^10*b^2*c^5*d^12 - 40*a^11*b*c^4*d^13 + 5*a^12*c^3*d^14)*x^4 + 7*(b^12*c^16*d - 4*a*b^11*c^15*d^2 - 10*a^2*b^10*c^14*d^3 + 100*a^3*b^9*c^13*d^4 - 285*a^4*b^8*c^12*d^5 + 408*a^5*b^7*c^11*d^6 - 252*a^6*b^6*c^10*d^7 - 120*a^7*b^5*c^9*d^8 + 375*a^8*b^4*c^8*d^9 - 340*a^9*b^3*c^7*d^10 + 166*a^10*b^2*c^6*d^11 - 44*a^11*b*c^5*d^12 + 5*a^12*c^4*d^13)*x^3 + (b^12*c^17 + 4*a*b^11*c^16*d - 74*a^2*b^10*c^15*d^2 + 300*a^3*b^9*c^14*d^3 - 525*a^4*b^8*c^13*d^4 + 168*a^5*b^7*c^12*d^5 + 1092*a^6*b^6*c^11*d^6 - 2472*a^7*b^5*c^10*d^7 + 2775*a^8*b^4*c^9*d^8 - 1900*a^9*b^3*c^8*d^9 + 806*a^10*b^2*c^7*d^10 - 196*a^11*b*c^6*d^11 + 21*a^12*c^5*d^12)*x^2 + (2*a*b^11*c^17 - 13*a^2*b^10*c^16*d + 20*a^3*b^9*c^15*d^2 + 75*a^4*b^8*c^14*d^3 - 420*a^5*b^7*c^13*d^4 + 966*a^6*b^6*c^12*d^5 - 1344*a^7*b^5*c^11*d^6 + 1230*a^8*b^4*c^10*d^7 - 750*a^9*b^3*c^9*d^8 + 295*a^10*b^2*c^8*d^9 - 68*a^11*b*c^7*d^10 + 7*a^12*c^6*d^11)*x)","B",0
1375,1,338,0,1.214817," ","integrate((b*x+a)^5*(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(693 \, b^{5} d^{6} x^{6} - 256 \, b^{5} c^{6} + 1664 \, a b^{4} c^{5} d - 4576 \, a^{2} b^{3} c^{4} d^{2} + 6864 \, a^{3} b^{2} c^{3} d^{3} - 6006 \, a^{4} b c^{2} d^{4} + 3003 \, a^{5} c d^{5} + 63 \, {\left(b^{5} c d^{5} + 65 \, a b^{4} d^{6}\right)} x^{5} - 35 \, {\left(2 \, b^{5} c^{2} d^{4} - 13 \, a b^{4} c d^{5} - 286 \, a^{2} b^{3} d^{6}\right)} x^{4} + 10 \, {\left(8 \, b^{5} c^{3} d^{3} - 52 \, a b^{4} c^{2} d^{4} + 143 \, a^{2} b^{3} c d^{5} + 1287 \, a^{3} b^{2} d^{6}\right)} x^{3} - 3 \, {\left(32 \, b^{5} c^{4} d^{2} - 208 \, a b^{4} c^{3} d^{3} + 572 \, a^{2} b^{3} c^{2} d^{4} - 858 \, a^{3} b^{2} c d^{5} - 3003 \, a^{4} b d^{6}\right)} x^{2} + {\left(128 \, b^{5} c^{5} d - 832 \, a b^{4} c^{4} d^{2} + 2288 \, a^{2} b^{3} c^{3} d^{3} - 3432 \, a^{3} b^{2} c^{2} d^{4} + 3003 \, a^{4} b c d^{5} + 3003 \, a^{5} d^{6}\right)} x\right)} \sqrt{d x + c}}{9009 \, d^{6}}"," ",0,"2/9009*(693*b^5*d^6*x^6 - 256*b^5*c^6 + 1664*a*b^4*c^5*d - 4576*a^2*b^3*c^4*d^2 + 6864*a^3*b^2*c^3*d^3 - 6006*a^4*b*c^2*d^4 + 3003*a^5*c*d^5 + 63*(b^5*c*d^5 + 65*a*b^4*d^6)*x^5 - 35*(2*b^5*c^2*d^4 - 13*a*b^4*c*d^5 - 286*a^2*b^3*d^6)*x^4 + 10*(8*b^5*c^3*d^3 - 52*a*b^4*c^2*d^4 + 143*a^2*b^3*c*d^5 + 1287*a^3*b^2*d^6)*x^3 - 3*(32*b^5*c^4*d^2 - 208*a*b^4*c^3*d^3 + 572*a^2*b^3*c^2*d^4 - 858*a^3*b^2*c*d^5 - 3003*a^4*b*d^6)*x^2 + (128*b^5*c^5*d - 832*a*b^4*c^4*d^2 + 2288*a^2*b^3*c^3*d^3 - 3432*a^3*b^2*c^2*d^4 + 3003*a^4*b*c*d^5 + 3003*a^5*d^6)*x)*sqrt(d*x + c)/d^6","B",0
1376,1,245,0,1.691766," ","integrate((b*x+a)^4*(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(315 \, b^{4} d^{5} x^{5} + 128 \, b^{4} c^{5} - 704 \, a b^{3} c^{4} d + 1584 \, a^{2} b^{2} c^{3} d^{2} - 1848 \, a^{3} b c^{2} d^{3} + 1155 \, a^{4} c d^{4} + 35 \, {\left(b^{4} c d^{4} + 44 \, a b^{3} d^{5}\right)} x^{4} - 10 \, {\left(4 \, b^{4} c^{2} d^{3} - 22 \, a b^{3} c d^{4} - 297 \, a^{2} b^{2} d^{5}\right)} x^{3} + 6 \, {\left(8 \, b^{4} c^{3} d^{2} - 44 \, a b^{3} c^{2} d^{3} + 99 \, a^{2} b^{2} c d^{4} + 462 \, a^{3} b d^{5}\right)} x^{2} - {\left(64 \, b^{4} c^{4} d - 352 \, a b^{3} c^{3} d^{2} + 792 \, a^{2} b^{2} c^{2} d^{3} - 924 \, a^{3} b c d^{4} - 1155 \, a^{4} d^{5}\right)} x\right)} \sqrt{d x + c}}{3465 \, d^{5}}"," ",0,"2/3465*(315*b^4*d^5*x^5 + 128*b^4*c^5 - 704*a*b^3*c^4*d + 1584*a^2*b^2*c^3*d^2 - 1848*a^3*b*c^2*d^3 + 1155*a^4*c*d^4 + 35*(b^4*c*d^4 + 44*a*b^3*d^5)*x^4 - 10*(4*b^4*c^2*d^3 - 22*a*b^3*c*d^4 - 297*a^2*b^2*d^5)*x^3 + 6*(8*b^4*c^3*d^2 - 44*a*b^3*c^2*d^3 + 99*a^2*b^2*c*d^4 + 462*a^3*b*d^5)*x^2 - (64*b^4*c^4*d - 352*a*b^3*c^3*d^2 + 792*a^2*b^2*c^2*d^3 - 924*a^3*b*c*d^4 - 1155*a^4*d^5)*x)*sqrt(d*x + c)/d^5","B",0
1377,1,164,0,1.164268," ","integrate((b*x+a)^3*(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(35 \, b^{3} d^{4} x^{4} - 16 \, b^{3} c^{4} + 72 \, a b^{2} c^{3} d - 126 \, a^{2} b c^{2} d^{2} + 105 \, a^{3} c d^{3} + 5 \, {\left(b^{3} c d^{3} + 27 \, a b^{2} d^{4}\right)} x^{3} - 3 \, {\left(2 \, b^{3} c^{2} d^{2} - 9 \, a b^{2} c d^{3} - 63 \, a^{2} b d^{4}\right)} x^{2} + {\left(8 \, b^{3} c^{3} d - 36 \, a b^{2} c^{2} d^{2} + 63 \, a^{2} b c d^{3} + 105 \, a^{3} d^{4}\right)} x\right)} \sqrt{d x + c}}{315 \, d^{4}}"," ",0,"2/315*(35*b^3*d^4*x^4 - 16*b^3*c^4 + 72*a*b^2*c^3*d - 126*a^2*b*c^2*d^2 + 105*a^3*c*d^3 + 5*(b^3*c*d^3 + 27*a*b^2*d^4)*x^3 - 3*(2*b^3*c^2*d^2 - 9*a*b^2*c*d^3 - 63*a^2*b*d^4)*x^2 + (8*b^3*c^3*d - 36*a*b^2*c^2*d^2 + 63*a^2*b*c*d^3 + 105*a^3*d^4)*x)*sqrt(d*x + c)/d^4","A",0
1378,1,99,0,1.393677," ","integrate((b*x+a)^2*(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(15 \, b^{2} d^{3} x^{3} + 8 \, b^{2} c^{3} - 28 \, a b c^{2} d + 35 \, a^{2} c d^{2} + 3 \, {\left(b^{2} c d^{2} + 14 \, a b d^{3}\right)} x^{2} - {\left(4 \, b^{2} c^{2} d - 14 \, a b c d^{2} - 35 \, a^{2} d^{3}\right)} x\right)} \sqrt{d x + c}}{105 \, d^{3}}"," ",0,"2/105*(15*b^2*d^3*x^3 + 8*b^2*c^3 - 28*a*b*c^2*d + 35*a^2*c*d^2 + 3*(b^2*c*d^2 + 14*a*b*d^3)*x^2 - (4*b^2*c^2*d - 14*a*b*c*d^2 - 35*a^2*d^3)*x)*sqrt(d*x + c)/d^3","A",0
1379,1,46,0,1.431937," ","integrate((b*x+a)*(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b d^{2} x^{2} - 2 \, b c^{2} + 5 \, a c d + {\left(b c d + 5 \, a d^{2}\right)} x\right)} \sqrt{d x + c}}{15 \, d^{2}}"," ",0,"2/15*(3*b*d^2*x^2 - 2*b*c^2 + 5*a*c*d + (b*c*d + 5*a*d^2)*x)*sqrt(d*x + c)/d^2","A",0
1380,1,12,0,1.278299," ","integrate((d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(d x + c\right)}^{\frac{3}{2}}}{3 \, d}"," ",0,"2/3*(d*x + c)^(3/2)/d","A",0
1381,1,143,0,1.361978," ","integrate((d*x+c)^(1/2)/(b*x+a),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{b c - a d}{b}} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{d x + c} b \sqrt{\frac{b c - a d}{b}}}{b x + a}\right) + 2 \, \sqrt{d x + c}}{b}, -\frac{2 \, {\left(\sqrt{-\frac{b c - a d}{b}} \arctan\left(-\frac{\sqrt{d x + c} b \sqrt{-\frac{b c - a d}{b}}}{b c - a d}\right) - \sqrt{d x + c}\right)}}{b}\right]"," ",0,"[(sqrt((b*c - a*d)/b)*log((b*d*x + 2*b*c - a*d - 2*sqrt(d*x + c)*b*sqrt((b*c - a*d)/b))/(b*x + a)) + 2*sqrt(d*x + c))/b, -2*(sqrt(-(b*c - a*d)/b)*arctan(-sqrt(d*x + c)*b*sqrt(-(b*c - a*d)/b)/(b*c - a*d)) - sqrt(d*x + c))/b]","A",0
1382,1,232,0,1.435485," ","integrate((d*x+c)^(1/2)/(b*x+a)^2,x, algorithm=""fricas"")","\left[\frac{\sqrt{b^{2} c - a b d} {\left(b d x + a d\right)} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) - 2 \, {\left(b^{2} c - a b d\right)} \sqrt{d x + c}}{2 \, {\left(a b^{3} c - a^{2} b^{2} d + {\left(b^{4} c - a b^{3} d\right)} x\right)}}, \frac{\sqrt{-b^{2} c + a b d} {\left(b d x + a d\right)} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) - {\left(b^{2} c - a b d\right)} \sqrt{d x + c}}{a b^{3} c - a^{2} b^{2} d + {\left(b^{4} c - a b^{3} d\right)} x}\right]"," ",0,"[1/2*(sqrt(b^2*c - a*b*d)*(b*d*x + a*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) - 2*(b^2*c - a*b*d)*sqrt(d*x + c))/(a*b^3*c - a^2*b^2*d + (b^4*c - a*b^3*d)*x), (sqrt(-b^2*c + a*b*d)*(b*d*x + a*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) - (b^2*c - a*b*d)*sqrt(d*x + c))/(a*b^3*c - a^2*b^2*d + (b^4*c - a*b^3*d)*x)]","A",0
1383,1,456,0,1.059039," ","integrate((d*x+c)^(1/2)/(b*x+a)^3,x, algorithm=""fricas"")","\left[-\frac{{\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2}\right)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) + 2 \, {\left(2 \, b^{3} c^{2} - 3 \, a b^{2} c d + a^{2} b d^{2} + {\left(b^{3} c d - a b^{2} d^{2}\right)} x\right)} \sqrt{d x + c}}{8 \, {\left(a^{2} b^{4} c^{2} - 2 \, a^{3} b^{3} c d + a^{4} b^{2} d^{2} + {\left(b^{6} c^{2} - 2 \, a b^{5} c d + a^{2} b^{4} d^{2}\right)} x^{2} + 2 \, {\left(a b^{5} c^{2} - 2 \, a^{2} b^{4} c d + a^{3} b^{3} d^{2}\right)} x\right)}}, -\frac{{\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2}\right)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) + {\left(2 \, b^{3} c^{2} - 3 \, a b^{2} c d + a^{2} b d^{2} + {\left(b^{3} c d - a b^{2} d^{2}\right)} x\right)} \sqrt{d x + c}}{4 \, {\left(a^{2} b^{4} c^{2} - 2 \, a^{3} b^{3} c d + a^{4} b^{2} d^{2} + {\left(b^{6} c^{2} - 2 \, a b^{5} c d + a^{2} b^{4} d^{2}\right)} x^{2} + 2 \, {\left(a b^{5} c^{2} - 2 \, a^{2} b^{4} c d + a^{3} b^{3} d^{2}\right)} x\right)}}\right]"," ",0,"[-1/8*((b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) + 2*(2*b^3*c^2 - 3*a*b^2*c*d + a^2*b*d^2 + (b^3*c*d - a*b^2*d^2)*x)*sqrt(d*x + c))/(a^2*b^4*c^2 - 2*a^3*b^3*c*d + a^4*b^2*d^2 + (b^6*c^2 - 2*a*b^5*c*d + a^2*b^4*d^2)*x^2 + 2*(a*b^5*c^2 - 2*a^2*b^4*c*d + a^3*b^3*d^2)*x), -1/4*((b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) + (2*b^3*c^2 - 3*a*b^2*c*d + a^2*b*d^2 + (b^3*c*d - a*b^2*d^2)*x)*sqrt(d*x + c))/(a^2*b^4*c^2 - 2*a^3*b^3*c*d + a^4*b^2*d^2 + (b^6*c^2 - 2*a*b^5*c*d + a^2*b^4*d^2)*x^2 + 2*(a*b^5*c^2 - 2*a^2*b^4*c*d + a^3*b^3*d^2)*x)]","B",0
1384,1,785,0,1.091600," ","integrate((d*x+c)^(1/2)/(b*x+a)^4,x, algorithm=""fricas"")","\left[\frac{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)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) - 2 \, {\left(8 \, b^{4} c^{3} - 22 \, a b^{3} c^{2} d + 17 \, a^{2} b^{2} c d^{2} - 3 \, a^{3} b d^{3} - 3 \, {\left(b^{4} c d^{2} - a b^{3} d^{3}\right)} x^{2} + 2 \, {\left(b^{4} c^{2} d - 5 \, a b^{3} c d^{2} + 4 \, a^{2} b^{2} d^{3}\right)} x\right)} \sqrt{d x + c}}{48 \, {\left(a^{3} b^{5} c^{3} - 3 \, a^{4} b^{4} c^{2} d + 3 \, a^{5} b^{3} c d^{2} - a^{6} b^{2} d^{3} + {\left(b^{8} c^{3} - 3 \, a b^{7} c^{2} d + 3 \, a^{2} b^{6} c d^{2} - a^{3} b^{5} d^{3}\right)} x^{3} + 3 \, {\left(a b^{7} c^{3} - 3 \, a^{2} b^{6} c^{2} d + 3 \, a^{3} b^{5} c d^{2} - a^{4} b^{4} d^{3}\right)} x^{2} + 3 \, {\left(a^{2} b^{6} c^{3} - 3 \, a^{3} b^{5} c^{2} d + 3 \, a^{4} b^{4} c d^{2} - a^{5} b^{3} d^{3}\right)} x\right)}}, \frac{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)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) - {\left(8 \, b^{4} c^{3} - 22 \, a b^{3} c^{2} d + 17 \, a^{2} b^{2} c d^{2} - 3 \, a^{3} b d^{3} - 3 \, {\left(b^{4} c d^{2} - a b^{3} d^{3}\right)} x^{2} + 2 \, {\left(b^{4} c^{2} d - 5 \, a b^{3} c d^{2} + 4 \, a^{2} b^{2} d^{3}\right)} x\right)} \sqrt{d x + c}}{24 \, {\left(a^{3} b^{5} c^{3} - 3 \, a^{4} b^{4} c^{2} d + 3 \, a^{5} b^{3} c d^{2} - a^{6} b^{2} d^{3} + {\left(b^{8} c^{3} - 3 \, a b^{7} c^{2} d + 3 \, a^{2} b^{6} c d^{2} - a^{3} b^{5} d^{3}\right)} x^{3} + 3 \, {\left(a b^{7} c^{3} - 3 \, a^{2} b^{6} c^{2} d + 3 \, a^{3} b^{5} c d^{2} - a^{4} b^{4} d^{3}\right)} x^{2} + 3 \, {\left(a^{2} b^{6} c^{3} - 3 \, a^{3} b^{5} c^{2} d + 3 \, a^{4} b^{4} c d^{2} - a^{5} b^{3} d^{3}\right)} x\right)}}\right]"," ",0,"[1/48*(3*(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)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) - 2*(8*b^4*c^3 - 22*a*b^3*c^2*d + 17*a^2*b^2*c*d^2 - 3*a^3*b*d^3 - 3*(b^4*c*d^2 - a*b^3*d^3)*x^2 + 2*(b^4*c^2*d - 5*a*b^3*c*d^2 + 4*a^2*b^2*d^3)*x)*sqrt(d*x + c))/(a^3*b^5*c^3 - 3*a^4*b^4*c^2*d + 3*a^5*b^3*c*d^2 - a^6*b^2*d^3 + (b^8*c^3 - 3*a*b^7*c^2*d + 3*a^2*b^6*c*d^2 - a^3*b^5*d^3)*x^3 + 3*(a*b^7*c^3 - 3*a^2*b^6*c^2*d + 3*a^3*b^5*c*d^2 - a^4*b^4*d^3)*x^2 + 3*(a^2*b^6*c^3 - 3*a^3*b^5*c^2*d + 3*a^4*b^4*c*d^2 - a^5*b^3*d^3)*x), 1/24*(3*(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)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) - (8*b^4*c^3 - 22*a*b^3*c^2*d + 17*a^2*b^2*c*d^2 - 3*a^3*b*d^3 - 3*(b^4*c*d^2 - a*b^3*d^3)*x^2 + 2*(b^4*c^2*d - 5*a*b^3*c*d^2 + 4*a^2*b^2*d^3)*x)*sqrt(d*x + c))/(a^3*b^5*c^3 - 3*a^4*b^4*c^2*d + 3*a^5*b^3*c*d^2 - a^6*b^2*d^3 + (b^8*c^3 - 3*a*b^7*c^2*d + 3*a^2*b^6*c*d^2 - a^3*b^5*d^3)*x^3 + 3*(a*b^7*c^3 - 3*a^2*b^6*c^2*d + 3*a^3*b^5*c*d^2 - a^4*b^4*d^3)*x^2 + 3*(a^2*b^6*c^3 - 3*a^3*b^5*c^2*d + 3*a^4*b^4*c*d^2 - a^5*b^3*d^3)*x)]","B",0
1385,1,1176,0,0.886284," ","integrate((d*x+c)^(1/2)/(b*x+a)^5,x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(b^{4} d^{4} x^{4} + 4 \, a b^{3} d^{4} x^{3} + 6 \, a^{2} b^{2} d^{4} x^{2} + 4 \, a^{3} b d^{4} x + a^{4} d^{4}\right)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) + 2 \, {\left(48 \, b^{5} c^{4} - 184 \, a b^{4} c^{3} d + 254 \, a^{2} b^{3} c^{2} d^{2} - 133 \, a^{3} b^{2} c d^{3} + 15 \, a^{4} b d^{4} + 15 \, {\left(b^{5} c d^{3} - a b^{4} d^{4}\right)} x^{3} - 5 \, {\left(2 \, b^{5} c^{2} d^{2} - 13 \, a b^{4} c d^{3} + 11 \, a^{2} b^{3} d^{4}\right)} x^{2} + {\left(8 \, b^{5} c^{3} d - 44 \, a b^{4} c^{2} d^{2} + 109 \, a^{2} b^{3} c d^{3} - 73 \, a^{3} b^{2} d^{4}\right)} x\right)} \sqrt{d x + c}}{384 \, {\left(a^{4} b^{6} c^{4} - 4 \, a^{5} b^{5} c^{3} d + 6 \, a^{6} b^{4} c^{2} d^{2} - 4 \, a^{7} b^{3} c d^{3} + a^{8} b^{2} d^{4} + {\left(b^{10} c^{4} - 4 \, a b^{9} c^{3} d + 6 \, a^{2} b^{8} c^{2} d^{2} - 4 \, a^{3} b^{7} c d^{3} + a^{4} b^{6} d^{4}\right)} x^{4} + 4 \, {\left(a b^{9} c^{4} - 4 \, a^{2} b^{8} c^{3} d + 6 \, a^{3} b^{7} c^{2} d^{2} - 4 \, a^{4} b^{6} c d^{3} + a^{5} b^{5} d^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{8} c^{4} - 4 \, a^{3} b^{7} c^{3} d + 6 \, a^{4} b^{6} c^{2} d^{2} - 4 \, a^{5} b^{5} c d^{3} + a^{6} b^{4} d^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{7} c^{4} - 4 \, a^{4} b^{6} c^{3} d + 6 \, a^{5} b^{5} c^{2} d^{2} - 4 \, a^{6} b^{4} c d^{3} + a^{7} b^{3} d^{4}\right)} x\right)}}, -\frac{15 \, {\left(b^{4} d^{4} x^{4} + 4 \, a b^{3} d^{4} x^{3} + 6 \, a^{2} b^{2} d^{4} x^{2} + 4 \, a^{3} b d^{4} x + a^{4} d^{4}\right)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) + {\left(48 \, b^{5} c^{4} - 184 \, a b^{4} c^{3} d + 254 \, a^{2} b^{3} c^{2} d^{2} - 133 \, a^{3} b^{2} c d^{3} + 15 \, a^{4} b d^{4} + 15 \, {\left(b^{5} c d^{3} - a b^{4} d^{4}\right)} x^{3} - 5 \, {\left(2 \, b^{5} c^{2} d^{2} - 13 \, a b^{4} c d^{3} + 11 \, a^{2} b^{3} d^{4}\right)} x^{2} + {\left(8 \, b^{5} c^{3} d - 44 \, a b^{4} c^{2} d^{2} + 109 \, a^{2} b^{3} c d^{3} - 73 \, a^{3} b^{2} d^{4}\right)} x\right)} \sqrt{d x + c}}{192 \, {\left(a^{4} b^{6} c^{4} - 4 \, a^{5} b^{5} c^{3} d + 6 \, a^{6} b^{4} c^{2} d^{2} - 4 \, a^{7} b^{3} c d^{3} + a^{8} b^{2} d^{4} + {\left(b^{10} c^{4} - 4 \, a b^{9} c^{3} d + 6 \, a^{2} b^{8} c^{2} d^{2} - 4 \, a^{3} b^{7} c d^{3} + a^{4} b^{6} d^{4}\right)} x^{4} + 4 \, {\left(a b^{9} c^{4} - 4 \, a^{2} b^{8} c^{3} d + 6 \, a^{3} b^{7} c^{2} d^{2} - 4 \, a^{4} b^{6} c d^{3} + a^{5} b^{5} d^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{8} c^{4} - 4 \, a^{3} b^{7} c^{3} d + 6 \, a^{4} b^{6} c^{2} d^{2} - 4 \, a^{5} b^{5} c d^{3} + a^{6} b^{4} d^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{7} c^{4} - 4 \, a^{4} b^{6} c^{3} d + 6 \, a^{5} b^{5} c^{2} d^{2} - 4 \, a^{6} b^{4} c d^{3} + a^{7} b^{3} d^{4}\right)} x\right)}}\right]"," ",0,"[-1/384*(15*(b^4*d^4*x^4 + 4*a*b^3*d^4*x^3 + 6*a^2*b^2*d^4*x^2 + 4*a^3*b*d^4*x + a^4*d^4)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) + 2*(48*b^5*c^4 - 184*a*b^4*c^3*d + 254*a^2*b^3*c^2*d^2 - 133*a^3*b^2*c*d^3 + 15*a^4*b*d^4 + 15*(b^5*c*d^3 - a*b^4*d^4)*x^3 - 5*(2*b^5*c^2*d^2 - 13*a*b^4*c*d^3 + 11*a^2*b^3*d^4)*x^2 + (8*b^5*c^3*d - 44*a*b^4*c^2*d^2 + 109*a^2*b^3*c*d^3 - 73*a^3*b^2*d^4)*x)*sqrt(d*x + c))/(a^4*b^6*c^4 - 4*a^5*b^5*c^3*d + 6*a^6*b^4*c^2*d^2 - 4*a^7*b^3*c*d^3 + a^8*b^2*d^4 + (b^10*c^4 - 4*a*b^9*c^3*d + 6*a^2*b^8*c^2*d^2 - 4*a^3*b^7*c*d^3 + a^4*b^6*d^4)*x^4 + 4*(a*b^9*c^4 - 4*a^2*b^8*c^3*d + 6*a^3*b^7*c^2*d^2 - 4*a^4*b^6*c*d^3 + a^5*b^5*d^4)*x^3 + 6*(a^2*b^8*c^4 - 4*a^3*b^7*c^3*d + 6*a^4*b^6*c^2*d^2 - 4*a^5*b^5*c*d^3 + a^6*b^4*d^4)*x^2 + 4*(a^3*b^7*c^4 - 4*a^4*b^6*c^3*d + 6*a^5*b^5*c^2*d^2 - 4*a^6*b^4*c*d^3 + a^7*b^3*d^4)*x), -1/192*(15*(b^4*d^4*x^4 + 4*a*b^3*d^4*x^3 + 6*a^2*b^2*d^4*x^2 + 4*a^3*b*d^4*x + a^4*d^4)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) + (48*b^5*c^4 - 184*a*b^4*c^3*d + 254*a^2*b^3*c^2*d^2 - 133*a^3*b^2*c*d^3 + 15*a^4*b*d^4 + 15*(b^5*c*d^3 - a*b^4*d^4)*x^3 - 5*(2*b^5*c^2*d^2 - 13*a*b^4*c*d^3 + 11*a^2*b^3*d^4)*x^2 + (8*b^5*c^3*d - 44*a*b^4*c^2*d^2 + 109*a^2*b^3*c*d^3 - 73*a^3*b^2*d^4)*x)*sqrt(d*x + c))/(a^4*b^6*c^4 - 4*a^5*b^5*c^3*d + 6*a^6*b^4*c^2*d^2 - 4*a^7*b^3*c*d^3 + a^8*b^2*d^4 + (b^10*c^4 - 4*a*b^9*c^3*d + 6*a^2*b^8*c^2*d^2 - 4*a^3*b^7*c*d^3 + a^4*b^6*d^4)*x^4 + 4*(a*b^9*c^4 - 4*a^2*b^8*c^3*d + 6*a^3*b^7*c^2*d^2 - 4*a^4*b^6*c*d^3 + a^5*b^5*d^4)*x^3 + 6*(a^2*b^8*c^4 - 4*a^3*b^7*c^3*d + 6*a^4*b^6*c^2*d^2 - 4*a^5*b^5*c*d^3 + a^6*b^4*d^4)*x^2 + 4*(a^3*b^7*c^4 - 4*a^4*b^6*c^3*d + 6*a^5*b^5*c^2*d^2 - 4*a^6*b^4*c*d^3 + a^7*b^3*d^4)*x)]","B",0
1386,1,1673,0,1.344740," ","integrate((d*x+c)^(1/2)/(b*x+a)^6,x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{5} d^{5} x^{5} + 5 \, a b^{4} d^{5} x^{4} + 10 \, a^{2} b^{3} d^{5} x^{3} + 10 \, a^{3} b^{2} d^{5} x^{2} + 5 \, a^{4} b d^{5} x + a^{5} d^{5}\right)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) - 2 \, {\left(384 \, b^{6} c^{5} - 1872 \, a b^{5} c^{4} d + 3592 \, a^{2} b^{4} c^{3} d^{2} - 3314 \, a^{3} b^{3} c^{2} d^{3} + 1315 \, a^{4} b^{2} c d^{4} - 105 \, a^{5} b d^{5} - 105 \, {\left(b^{6} c d^{4} - a b^{5} d^{5}\right)} x^{4} + 70 \, {\left(b^{6} c^{2} d^{3} - 8 \, a b^{5} c d^{4} + 7 \, a^{2} b^{4} d^{5}\right)} x^{3} - 14 \, {\left(4 \, b^{6} c^{3} d^{2} - 27 \, a b^{5} c^{2} d^{3} + 87 \, a^{2} b^{4} c d^{4} - 64 \, a^{3} b^{3} d^{5}\right)} x^{2} + 2 \, {\left(24 \, b^{6} c^{4} d - 152 \, a b^{5} c^{3} d^{2} + 417 \, a^{2} b^{4} c^{2} d^{3} - 684 \, a^{3} b^{3} c d^{4} + 395 \, a^{4} b^{2} d^{5}\right)} x\right)} \sqrt{d x + c}}{3840 \, {\left(a^{5} b^{7} c^{5} - 5 \, a^{6} b^{6} c^{4} d + 10 \, a^{7} b^{5} c^{3} d^{2} - 10 \, a^{8} b^{4} c^{2} d^{3} + 5 \, a^{9} b^{3} c d^{4} - a^{10} b^{2} d^{5} + {\left(b^{12} c^{5} - 5 \, a b^{11} c^{4} d + 10 \, a^{2} b^{10} c^{3} d^{2} - 10 \, a^{3} b^{9} c^{2} d^{3} + 5 \, a^{4} b^{8} c d^{4} - a^{5} b^{7} d^{5}\right)} x^{5} + 5 \, {\left(a b^{11} c^{5} - 5 \, a^{2} b^{10} c^{4} d + 10 \, a^{3} b^{9} c^{3} d^{2} - 10 \, a^{4} b^{8} c^{2} d^{3} + 5 \, a^{5} b^{7} c d^{4} - a^{6} b^{6} d^{5}\right)} x^{4} + 10 \, {\left(a^{2} b^{10} c^{5} - 5 \, a^{3} b^{9} c^{4} d + 10 \, a^{4} b^{8} c^{3} d^{2} - 10 \, a^{5} b^{7} c^{2} d^{3} + 5 \, a^{6} b^{6} c d^{4} - a^{7} b^{5} d^{5}\right)} x^{3} + 10 \, {\left(a^{3} b^{9} c^{5} - 5 \, a^{4} b^{8} c^{4} d + 10 \, a^{5} b^{7} c^{3} d^{2} - 10 \, a^{6} b^{6} c^{2} d^{3} + 5 \, a^{7} b^{5} c d^{4} - a^{8} b^{4} d^{5}\right)} x^{2} + 5 \, {\left(a^{4} b^{8} c^{5} - 5 \, a^{5} b^{7} c^{4} d + 10 \, a^{6} b^{6} c^{3} d^{2} - 10 \, a^{7} b^{5} c^{2} d^{3} + 5 \, a^{8} b^{4} c d^{4} - a^{9} b^{3} d^{5}\right)} x\right)}}, \frac{105 \, {\left(b^{5} d^{5} x^{5} + 5 \, a b^{4} d^{5} x^{4} + 10 \, a^{2} b^{3} d^{5} x^{3} + 10 \, a^{3} b^{2} d^{5} x^{2} + 5 \, a^{4} b d^{5} x + a^{5} d^{5}\right)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) - {\left(384 \, b^{6} c^{5} - 1872 \, a b^{5} c^{4} d + 3592 \, a^{2} b^{4} c^{3} d^{2} - 3314 \, a^{3} b^{3} c^{2} d^{3} + 1315 \, a^{4} b^{2} c d^{4} - 105 \, a^{5} b d^{5} - 105 \, {\left(b^{6} c d^{4} - a b^{5} d^{5}\right)} x^{4} + 70 \, {\left(b^{6} c^{2} d^{3} - 8 \, a b^{5} c d^{4} + 7 \, a^{2} b^{4} d^{5}\right)} x^{3} - 14 \, {\left(4 \, b^{6} c^{3} d^{2} - 27 \, a b^{5} c^{2} d^{3} + 87 \, a^{2} b^{4} c d^{4} - 64 \, a^{3} b^{3} d^{5}\right)} x^{2} + 2 \, {\left(24 \, b^{6} c^{4} d - 152 \, a b^{5} c^{3} d^{2} + 417 \, a^{2} b^{4} c^{2} d^{3} - 684 \, a^{3} b^{3} c d^{4} + 395 \, a^{4} b^{2} d^{5}\right)} x\right)} \sqrt{d x + c}}{1920 \, {\left(a^{5} b^{7} c^{5} - 5 \, a^{6} b^{6} c^{4} d + 10 \, a^{7} b^{5} c^{3} d^{2} - 10 \, a^{8} b^{4} c^{2} d^{3} + 5 \, a^{9} b^{3} c d^{4} - a^{10} b^{2} d^{5} + {\left(b^{12} c^{5} - 5 \, a b^{11} c^{4} d + 10 \, a^{2} b^{10} c^{3} d^{2} - 10 \, a^{3} b^{9} c^{2} d^{3} + 5 \, a^{4} b^{8} c d^{4} - a^{5} b^{7} d^{5}\right)} x^{5} + 5 \, {\left(a b^{11} c^{5} - 5 \, a^{2} b^{10} c^{4} d + 10 \, a^{3} b^{9} c^{3} d^{2} - 10 \, a^{4} b^{8} c^{2} d^{3} + 5 \, a^{5} b^{7} c d^{4} - a^{6} b^{6} d^{5}\right)} x^{4} + 10 \, {\left(a^{2} b^{10} c^{5} - 5 \, a^{3} b^{9} c^{4} d + 10 \, a^{4} b^{8} c^{3} d^{2} - 10 \, a^{5} b^{7} c^{2} d^{3} + 5 \, a^{6} b^{6} c d^{4} - a^{7} b^{5} d^{5}\right)} x^{3} + 10 \, {\left(a^{3} b^{9} c^{5} - 5 \, a^{4} b^{8} c^{4} d + 10 \, a^{5} b^{7} c^{3} d^{2} - 10 \, a^{6} b^{6} c^{2} d^{3} + 5 \, a^{7} b^{5} c d^{4} - a^{8} b^{4} d^{5}\right)} x^{2} + 5 \, {\left(a^{4} b^{8} c^{5} - 5 \, a^{5} b^{7} c^{4} d + 10 \, a^{6} b^{6} c^{3} d^{2} - 10 \, a^{7} b^{5} c^{2} d^{3} + 5 \, a^{8} b^{4} c d^{4} - a^{9} b^{3} d^{5}\right)} x\right)}}\right]"," ",0,"[1/3840*(105*(b^5*d^5*x^5 + 5*a*b^4*d^5*x^4 + 10*a^2*b^3*d^5*x^3 + 10*a^3*b^2*d^5*x^2 + 5*a^4*b*d^5*x + a^5*d^5)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) - 2*(384*b^6*c^5 - 1872*a*b^5*c^4*d + 3592*a^2*b^4*c^3*d^2 - 3314*a^3*b^3*c^2*d^3 + 1315*a^4*b^2*c*d^4 - 105*a^5*b*d^5 - 105*(b^6*c*d^4 - a*b^5*d^5)*x^4 + 70*(b^6*c^2*d^3 - 8*a*b^5*c*d^4 + 7*a^2*b^4*d^5)*x^3 - 14*(4*b^6*c^3*d^2 - 27*a*b^5*c^2*d^3 + 87*a^2*b^4*c*d^4 - 64*a^3*b^3*d^5)*x^2 + 2*(24*b^6*c^4*d - 152*a*b^5*c^3*d^2 + 417*a^2*b^4*c^2*d^3 - 684*a^3*b^3*c*d^4 + 395*a^4*b^2*d^5)*x)*sqrt(d*x + c))/(a^5*b^7*c^5 - 5*a^6*b^6*c^4*d + 10*a^7*b^5*c^3*d^2 - 10*a^8*b^4*c^2*d^3 + 5*a^9*b^3*c*d^4 - a^10*b^2*d^5 + (b^12*c^5 - 5*a*b^11*c^4*d + 10*a^2*b^10*c^3*d^2 - 10*a^3*b^9*c^2*d^3 + 5*a^4*b^8*c*d^4 - a^5*b^7*d^5)*x^5 + 5*(a*b^11*c^5 - 5*a^2*b^10*c^4*d + 10*a^3*b^9*c^3*d^2 - 10*a^4*b^8*c^2*d^3 + 5*a^5*b^7*c*d^4 - a^6*b^6*d^5)*x^4 + 10*(a^2*b^10*c^5 - 5*a^3*b^9*c^4*d + 10*a^4*b^8*c^3*d^2 - 10*a^5*b^7*c^2*d^3 + 5*a^6*b^6*c*d^4 - a^7*b^5*d^5)*x^3 + 10*(a^3*b^9*c^5 - 5*a^4*b^8*c^4*d + 10*a^5*b^7*c^3*d^2 - 10*a^6*b^6*c^2*d^3 + 5*a^7*b^5*c*d^4 - a^8*b^4*d^5)*x^2 + 5*(a^4*b^8*c^5 - 5*a^5*b^7*c^4*d + 10*a^6*b^6*c^3*d^2 - 10*a^7*b^5*c^2*d^3 + 5*a^8*b^4*c*d^4 - a^9*b^3*d^5)*x), 1/1920*(105*(b^5*d^5*x^5 + 5*a*b^4*d^5*x^4 + 10*a^2*b^3*d^5*x^3 + 10*a^3*b^2*d^5*x^2 + 5*a^4*b*d^5*x + a^5*d^5)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) - (384*b^6*c^5 - 1872*a*b^5*c^4*d + 3592*a^2*b^4*c^3*d^2 - 3314*a^3*b^3*c^2*d^3 + 1315*a^4*b^2*c*d^4 - 105*a^5*b*d^5 - 105*(b^6*c*d^4 - a*b^5*d^5)*x^4 + 70*(b^6*c^2*d^3 - 8*a*b^5*c*d^4 + 7*a^2*b^4*d^5)*x^3 - 14*(4*b^6*c^3*d^2 - 27*a*b^5*c^2*d^3 + 87*a^2*b^4*c*d^4 - 64*a^3*b^3*d^5)*x^2 + 2*(24*b^6*c^4*d - 152*a*b^5*c^3*d^2 + 417*a^2*b^4*c^2*d^3 - 684*a^3*b^3*c*d^4 + 395*a^4*b^2*d^5)*x)*sqrt(d*x + c))/(a^5*b^7*c^5 - 5*a^6*b^6*c^4*d + 10*a^7*b^5*c^3*d^2 - 10*a^8*b^4*c^2*d^3 + 5*a^9*b^3*c*d^4 - a^10*b^2*d^5 + (b^12*c^5 - 5*a*b^11*c^4*d + 10*a^2*b^10*c^3*d^2 - 10*a^3*b^9*c^2*d^3 + 5*a^4*b^8*c*d^4 - a^5*b^7*d^5)*x^5 + 5*(a*b^11*c^5 - 5*a^2*b^10*c^4*d + 10*a^3*b^9*c^3*d^2 - 10*a^4*b^8*c^2*d^3 + 5*a^5*b^7*c*d^4 - a^6*b^6*d^5)*x^4 + 10*(a^2*b^10*c^5 - 5*a^3*b^9*c^4*d + 10*a^4*b^8*c^3*d^2 - 10*a^5*b^7*c^2*d^3 + 5*a^6*b^6*c*d^4 - a^7*b^5*d^5)*x^3 + 10*(a^3*b^9*c^5 - 5*a^4*b^8*c^4*d + 10*a^5*b^7*c^3*d^2 - 10*a^6*b^6*c^2*d^3 + 5*a^7*b^5*c*d^4 - a^8*b^4*d^5)*x^2 + 5*(a^4*b^8*c^5 - 5*a^5*b^7*c^4*d + 10*a^6*b^6*c^3*d^2 - 10*a^7*b^5*c^2*d^3 + 5*a^8*b^4*c*d^4 - a^9*b^3*d^5)*x)]","B",0
1387,1,418,0,1.365903," ","integrate((b*x+a)^5*(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3003 \, b^{5} d^{7} x^{7} - 256 \, b^{5} c^{7} + 1920 \, a b^{4} c^{6} d - 6240 \, a^{2} b^{3} c^{5} d^{2} + 11440 \, a^{3} b^{2} c^{4} d^{3} - 12870 \, a^{4} b c^{3} d^{4} + 9009 \, a^{5} c^{2} d^{5} + 231 \, {\left(16 \, b^{5} c d^{6} + 75 \, a b^{4} d^{7}\right)} x^{6} + 63 \, {\left(b^{5} c^{2} d^{5} + 350 \, a b^{4} c d^{6} + 650 \, a^{2} b^{3} d^{7}\right)} x^{5} - 35 \, {\left(2 \, b^{5} c^{3} d^{4} - 15 \, a b^{4} c^{2} d^{5} - 1560 \, a^{2} b^{3} c d^{6} - 1430 \, a^{3} b^{2} d^{7}\right)} x^{4} + 5 \, {\left(16 \, b^{5} c^{4} d^{3} - 120 \, a b^{4} c^{3} d^{4} + 390 \, a^{2} b^{3} c^{2} d^{5} + 14300 \, a^{3} b^{2} c d^{6} + 6435 \, a^{4} b d^{7}\right)} x^{3} - 3 \, {\left(32 \, b^{5} c^{5} d^{2} - 240 \, a b^{4} c^{4} d^{3} + 780 \, a^{2} b^{3} c^{3} d^{4} - 1430 \, a^{3} b^{2} c^{2} d^{5} - 17160 \, a^{4} b c d^{6} - 3003 \, a^{5} d^{7}\right)} x^{2} + {\left(128 \, b^{5} c^{6} d - 960 \, a b^{4} c^{5} d^{2} + 3120 \, a^{2} b^{3} c^{4} d^{3} - 5720 \, a^{3} b^{2} c^{3} d^{4} + 6435 \, a^{4} b c^{2} d^{5} + 18018 \, a^{5} c d^{6}\right)} x\right)} \sqrt{d x + c}}{45045 \, d^{6}}"," ",0,"2/45045*(3003*b^5*d^7*x^7 - 256*b^5*c^7 + 1920*a*b^4*c^6*d - 6240*a^2*b^3*c^5*d^2 + 11440*a^3*b^2*c^4*d^3 - 12870*a^4*b*c^3*d^4 + 9009*a^5*c^2*d^5 + 231*(16*b^5*c*d^6 + 75*a*b^4*d^7)*x^6 + 63*(b^5*c^2*d^5 + 350*a*b^4*c*d^6 + 650*a^2*b^3*d^7)*x^5 - 35*(2*b^5*c^3*d^4 - 15*a*b^4*c^2*d^5 - 1560*a^2*b^3*c*d^6 - 1430*a^3*b^2*d^7)*x^4 + 5*(16*b^5*c^4*d^3 - 120*a*b^4*c^3*d^4 + 390*a^2*b^3*c^2*d^5 + 14300*a^3*b^2*c*d^6 + 6435*a^4*b*d^7)*x^3 - 3*(32*b^5*c^5*d^2 - 240*a*b^4*c^4*d^3 + 780*a^2*b^3*c^3*d^4 - 1430*a^3*b^2*c^2*d^5 - 17160*a^4*b*c*d^6 - 3003*a^5*d^7)*x^2 + (128*b^5*c^6*d - 960*a*b^4*c^5*d^2 + 3120*a^2*b^3*c^4*d^3 - 5720*a^3*b^2*c^3*d^4 + 6435*a^4*b*c^2*d^5 + 18018*a^5*c*d^6)*x)*sqrt(d*x + c)/d^6","B",0
1388,1,311,0,1.070818," ","integrate((b*x+a)^4*(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(1155 \, b^{4} d^{6} x^{6} + 128 \, b^{4} c^{6} - 832 \, a b^{3} c^{5} d + 2288 \, a^{2} b^{2} c^{4} d^{2} - 3432 \, a^{3} b c^{3} d^{3} + 3003 \, a^{4} c^{2} d^{4} + 210 \, {\left(7 \, b^{4} c d^{5} + 26 \, a b^{3} d^{6}\right)} x^{5} + 35 \, {\left(b^{4} c^{2} d^{4} + 208 \, a b^{3} c d^{5} + 286 \, a^{2} b^{2} d^{6}\right)} x^{4} - 20 \, {\left(2 \, b^{4} c^{3} d^{3} - 13 \, a b^{3} c^{2} d^{4} - 715 \, a^{2} b^{2} c d^{5} - 429 \, a^{3} b d^{6}\right)} x^{3} + 3 \, {\left(16 \, b^{4} c^{4} d^{2} - 104 \, a b^{3} c^{3} d^{3} + 286 \, a^{2} b^{2} c^{2} d^{4} + 4576 \, a^{3} b c d^{5} + 1001 \, a^{4} d^{6}\right)} x^{2} - 2 \, {\left(32 \, b^{4} c^{5} d - 208 \, a b^{3} c^{4} d^{2} + 572 \, a^{2} b^{2} c^{3} d^{3} - 858 \, a^{3} b c^{2} d^{4} - 3003 \, a^{4} c d^{5}\right)} x\right)} \sqrt{d x + c}}{15015 \, d^{5}}"," ",0,"2/15015*(1155*b^4*d^6*x^6 + 128*b^4*c^6 - 832*a*b^3*c^5*d + 2288*a^2*b^2*c^4*d^2 - 3432*a^3*b*c^3*d^3 + 3003*a^4*c^2*d^4 + 210*(7*b^4*c*d^5 + 26*a*b^3*d^6)*x^5 + 35*(b^4*c^2*d^4 + 208*a*b^3*c*d^5 + 286*a^2*b^2*d^6)*x^4 - 20*(2*b^4*c^3*d^3 - 13*a*b^3*c^2*d^4 - 715*a^2*b^2*c*d^5 - 429*a^3*b*d^6)*x^3 + 3*(16*b^4*c^4*d^2 - 104*a*b^3*c^3*d^3 + 286*a^2*b^2*c^2*d^4 + 4576*a^3*b*c*d^5 + 1001*a^4*d^6)*x^2 - 2*(32*b^4*c^5*d - 208*a*b^3*c^4*d^2 + 572*a^2*b^2*c^3*d^3 - 858*a^3*b*c^2*d^4 - 3003*a^4*c*d^5)*x)*sqrt(d*x + c)/d^5","B",0
1389,1,216,0,0.776572," ","integrate((b*x+a)^3*(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(105 \, b^{3} d^{5} x^{5} - 16 \, b^{3} c^{5} + 88 \, a b^{2} c^{4} d - 198 \, a^{2} b c^{3} d^{2} + 231 \, a^{3} c^{2} d^{3} + 35 \, {\left(4 \, b^{3} c d^{4} + 11 \, a b^{2} d^{5}\right)} x^{4} + 5 \, {\left(b^{3} c^{2} d^{3} + 110 \, a b^{2} c d^{4} + 99 \, a^{2} b d^{5}\right)} x^{3} - 3 \, {\left(2 \, b^{3} c^{3} d^{2} - 11 \, a b^{2} c^{2} d^{3} - 264 \, a^{2} b c d^{4} - 77 \, a^{3} d^{5}\right)} x^{2} + {\left(8 \, b^{3} c^{4} d - 44 \, a b^{2} c^{3} d^{2} + 99 \, a^{2} b c^{2} d^{3} + 462 \, a^{3} c d^{4}\right)} x\right)} \sqrt{d x + c}}{1155 \, d^{4}}"," ",0,"2/1155*(105*b^3*d^5*x^5 - 16*b^3*c^5 + 88*a*b^2*c^4*d - 198*a^2*b*c^3*d^2 + 231*a^3*c^2*d^3 + 35*(4*b^3*c*d^4 + 11*a*b^2*d^5)*x^4 + 5*(b^3*c^2*d^3 + 110*a*b^2*c*d^4 + 99*a^2*b*d^5)*x^3 - 3*(2*b^3*c^3*d^2 - 11*a*b^2*c^2*d^3 - 264*a^2*b*c*d^4 - 77*a^3*d^5)*x^2 + (8*b^3*c^4*d - 44*a*b^2*c^3*d^2 + 99*a^2*b*c^2*d^3 + 462*a^3*c*d^4)*x)*sqrt(d*x + c)/d^4","B",0
1390,1,137,0,1.239117," ","integrate((b*x+a)^2*(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(35 \, b^{2} d^{4} x^{4} + 8 \, b^{2} c^{4} - 36 \, a b c^{3} d + 63 \, a^{2} c^{2} d^{2} + 10 \, {\left(5 \, b^{2} c d^{3} + 9 \, a b d^{4}\right)} x^{3} + 3 \, {\left(b^{2} c^{2} d^{2} + 48 \, a b c d^{3} + 21 \, a^{2} d^{4}\right)} x^{2} - 2 \, {\left(2 \, b^{2} c^{3} d - 9 \, a b c^{2} d^{2} - 63 \, a^{2} c d^{3}\right)} x\right)} \sqrt{d x + c}}{315 \, d^{3}}"," ",0,"2/315*(35*b^2*d^4*x^4 + 8*b^2*c^4 - 36*a*b*c^3*d + 63*a^2*c^2*d^2 + 10*(5*b^2*c*d^3 + 9*a*b*d^4)*x^3 + 3*(b^2*c^2*d^2 + 48*a*b*c*d^3 + 21*a^2*d^4)*x^2 - 2*(2*b^2*c^3*d - 9*a*b*c^2*d^2 - 63*a^2*c*d^3)*x)*sqrt(d*x + c)/d^3","B",0
1391,1,69,0,1.269980," ","integrate((b*x+a)*(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, b d^{3} x^{3} - 2 \, b c^{3} + 7 \, a c^{2} d + {\left(8 \, b c d^{2} + 7 \, a d^{3}\right)} x^{2} + {\left(b c^{2} d + 14 \, a c d^{2}\right)} x\right)} \sqrt{d x + c}}{35 \, d^{2}}"," ",0,"2/35*(5*b*d^3*x^3 - 2*b*c^3 + 7*a*c^2*d + (8*b*c*d^2 + 7*a*d^3)*x^2 + (b*c^2*d + 14*a*c*d^2)*x)*sqrt(d*x + c)/d^2","B",0
1392,1,28,0,1.195914," ","integrate((d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} \sqrt{d x + c}}{5 \, d}"," ",0,"2/5*(d^2*x^2 + 2*c*d*x + c^2)*sqrt(d*x + c)/d","B",0
1393,1,188,0,1.143757," ","integrate((d*x+c)^(3/2)/(b*x+a),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(b c - a d\right)} \sqrt{\frac{b c - a d}{b}} \log\left(\frac{b d x + 2 \, b c - a d + 2 \, \sqrt{d x + c} b \sqrt{\frac{b c - a d}{b}}}{b x + a}\right) - 2 \, {\left(b d x + 4 \, b c - 3 \, a d\right)} \sqrt{d x + c}}{3 \, b^{2}}, -\frac{2 \, {\left(3 \, {\left(b c - a d\right)} \sqrt{-\frac{b c - a d}{b}} \arctan\left(-\frac{\sqrt{d x + c} b \sqrt{-\frac{b c - a d}{b}}}{b c - a d}\right) - {\left(b d x + 4 \, b c - 3 \, a d\right)} \sqrt{d x + c}\right)}}{3 \, b^{2}}\right]"," ",0,"[-1/3*(3*(b*c - a*d)*sqrt((b*c - a*d)/b)*log((b*d*x + 2*b*c - a*d + 2*sqrt(d*x + c)*b*sqrt((b*c - a*d)/b))/(b*x + a)) - 2*(b*d*x + 4*b*c - 3*a*d)*sqrt(d*x + c))/b^2, -2/3*(3*(b*c - a*d)*sqrt(-(b*c - a*d)/b)*arctan(-sqrt(d*x + c)*b*sqrt(-(b*c - a*d)/b)/(b*c - a*d)) - (b*d*x + 4*b*c - 3*a*d)*sqrt(d*x + c))/b^2]","A",0
1394,1,210,0,1.736093," ","integrate((d*x+c)^(3/2)/(b*x+a)^2,x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b d x + a d\right)} \sqrt{\frac{b c - a d}{b}} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{d x + c} b \sqrt{\frac{b c - a d}{b}}}{b x + a}\right) + 2 \, {\left(2 \, b d x - b c + 3 \, a d\right)} \sqrt{d x + c}}{2 \, {\left(b^{3} x + a b^{2}\right)}}, -\frac{3 \, {\left(b d x + a d\right)} \sqrt{-\frac{b c - a d}{b}} \arctan\left(-\frac{\sqrt{d x + c} b \sqrt{-\frac{b c - a d}{b}}}{b c - a d}\right) - {\left(2 \, b d x - b c + 3 \, a d\right)} \sqrt{d x + c}}{b^{3} x + a b^{2}}\right]"," ",0,"[1/2*(3*(b*d*x + a*d)*sqrt((b*c - a*d)/b)*log((b*d*x + 2*b*c - a*d - 2*sqrt(d*x + c)*b*sqrt((b*c - a*d)/b))/(b*x + a)) + 2*(2*b*d*x - b*c + 3*a*d)*sqrt(d*x + c))/(b^3*x + a*b^2), -(3*(b*d*x + a*d)*sqrt(-(b*c - a*d)/b)*arctan(-sqrt(d*x + c)*b*sqrt(-(b*c - a*d)/b)/(b*c - a*d)) - (2*b*d*x - b*c + 3*a*d)*sqrt(d*x + c))/(b^3*x + a*b^2)]","A",0
1395,1,383,0,1.004774," ","integrate((d*x+c)^(3/2)/(b*x+a)^3,x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2}\right)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) - 2 \, {\left(2 \, b^{3} c^{2} + a b^{2} c d - 3 \, a^{2} b d^{2} + 5 \, {\left(b^{3} c d - a b^{2} d^{2}\right)} x\right)} \sqrt{d x + c}}{8 \, {\left(a^{2} b^{4} c - a^{3} b^{3} d + {\left(b^{6} c - a b^{5} d\right)} x^{2} + 2 \, {\left(a b^{5} c - a^{2} b^{4} d\right)} x\right)}}, \frac{3 \, {\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2}\right)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) - {\left(2 \, b^{3} c^{2} + a b^{2} c d - 3 \, a^{2} b d^{2} + 5 \, {\left(b^{3} c d - a b^{2} d^{2}\right)} x\right)} \sqrt{d x + c}}{4 \, {\left(a^{2} b^{4} c - a^{3} b^{3} d + {\left(b^{6} c - a b^{5} d\right)} x^{2} + 2 \, {\left(a b^{5} c - a^{2} b^{4} d\right)} x\right)}}\right]"," ",0,"[1/8*(3*(b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) - 2*(2*b^3*c^2 + a*b^2*c*d - 3*a^2*b*d^2 + 5*(b^3*c*d - a*b^2*d^2)*x)*sqrt(d*x + c))/(a^2*b^4*c - a^3*b^3*d + (b^6*c - a*b^5*d)*x^2 + 2*(a*b^5*c - a^2*b^4*d)*x), 1/4*(3*(b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) - (2*b^3*c^2 + a*b^2*c*d - 3*a^2*b*d^2 + 5*(b^3*c*d - a*b^2*d^2)*x)*sqrt(d*x + c))/(a^2*b^4*c - a^3*b^3*d + (b^6*c - a*b^5*d)*x^2 + 2*(a*b^5*c - a^2*b^4*d)*x)]","B",0
1396,1,666,0,1.374712," ","integrate((d*x+c)^(3/2)/(b*x+a)^4,x, algorithm=""fricas"")","\left[-\frac{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)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) + 2 \, {\left(8 \, b^{4} c^{3} - 10 \, a b^{3} c^{2} d - a^{2} b^{2} c d^{2} + 3 \, a^{3} b d^{3} + 3 \, {\left(b^{4} c d^{2} - a b^{3} d^{3}\right)} x^{2} + 2 \, {\left(7 \, b^{4} c^{2} d - 11 \, a b^{3} c d^{2} + 4 \, a^{2} b^{2} d^{3}\right)} x\right)} \sqrt{d x + c}}{48 \, {\left(a^{3} b^{5} c^{2} - 2 \, a^{4} b^{4} c d + a^{5} b^{3} d^{2} + {\left(b^{8} c^{2} - 2 \, a b^{7} c d + a^{2} b^{6} d^{2}\right)} x^{3} + 3 \, {\left(a b^{7} c^{2} - 2 \, a^{2} b^{6} c d + a^{3} b^{5} d^{2}\right)} x^{2} + 3 \, {\left(a^{2} b^{6} c^{2} - 2 \, a^{3} b^{5} c d + a^{4} b^{4} d^{2}\right)} x\right)}}, -\frac{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)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) + {\left(8 \, b^{4} c^{3} - 10 \, a b^{3} c^{2} d - a^{2} b^{2} c d^{2} + 3 \, a^{3} b d^{3} + 3 \, {\left(b^{4} c d^{2} - a b^{3} d^{3}\right)} x^{2} + 2 \, {\left(7 \, b^{4} c^{2} d - 11 \, a b^{3} c d^{2} + 4 \, a^{2} b^{2} d^{3}\right)} x\right)} \sqrt{d x + c}}{24 \, {\left(a^{3} b^{5} c^{2} - 2 \, a^{4} b^{4} c d + a^{5} b^{3} d^{2} + {\left(b^{8} c^{2} - 2 \, a b^{7} c d + a^{2} b^{6} d^{2}\right)} x^{3} + 3 \, {\left(a b^{7} c^{2} - 2 \, a^{2} b^{6} c d + a^{3} b^{5} d^{2}\right)} x^{2} + 3 \, {\left(a^{2} b^{6} c^{2} - 2 \, a^{3} b^{5} c d + a^{4} b^{4} d^{2}\right)} x\right)}}\right]"," ",0,"[-1/48*(3*(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)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) + 2*(8*b^4*c^3 - 10*a*b^3*c^2*d - a^2*b^2*c*d^2 + 3*a^3*b*d^3 + 3*(b^4*c*d^2 - a*b^3*d^3)*x^2 + 2*(7*b^4*c^2*d - 11*a*b^3*c*d^2 + 4*a^2*b^2*d^3)*x)*sqrt(d*x + c))/(a^3*b^5*c^2 - 2*a^4*b^4*c*d + a^5*b^3*d^2 + (b^8*c^2 - 2*a*b^7*c*d + a^2*b^6*d^2)*x^3 + 3*(a*b^7*c^2 - 2*a^2*b^6*c*d + a^3*b^5*d^2)*x^2 + 3*(a^2*b^6*c^2 - 2*a^3*b^5*c*d + a^4*b^4*d^2)*x), -1/24*(3*(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)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) + (8*b^4*c^3 - 10*a*b^3*c^2*d - a^2*b^2*c*d^2 + 3*a^3*b*d^3 + 3*(b^4*c*d^2 - a*b^3*d^3)*x^2 + 2*(7*b^4*c^2*d - 11*a*b^3*c*d^2 + 4*a^2*b^2*d^3)*x)*sqrt(d*x + c))/(a^3*b^5*c^2 - 2*a^4*b^4*c*d + a^5*b^3*d^2 + (b^8*c^2 - 2*a*b^7*c*d + a^2*b^6*d^2)*x^3 + 3*(a*b^7*c^2 - 2*a^2*b^6*c*d + a^3*b^5*d^2)*x^2 + 3*(a^2*b^6*c^2 - 2*a^3*b^5*c*d + a^4*b^4*d^2)*x)]","B",0
1397,1,1043,0,1.544845," ","integrate((d*x+c)^(3/2)/(b*x+a)^5,x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{4} d^{4} x^{4} + 4 \, a b^{3} d^{4} x^{3} + 6 \, a^{2} b^{2} d^{4} x^{2} + 4 \, a^{3} b d^{4} x + a^{4} d^{4}\right)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) - 2 \, {\left(16 \, b^{5} c^{4} - 40 \, a b^{4} c^{3} d + 26 \, a^{2} b^{3} c^{2} d^{2} + a^{3} b^{2} c d^{3} - 3 \, a^{4} b d^{4} - 3 \, {\left(b^{5} c d^{3} - a b^{4} d^{4}\right)} x^{3} + {\left(2 \, b^{5} c^{2} d^{2} - 13 \, a b^{4} c d^{3} + 11 \, a^{2} b^{3} d^{4}\right)} x^{2} + {\left(24 \, b^{5} c^{3} d - 68 \, a b^{4} c^{2} d^{2} + 55 \, a^{2} b^{3} c d^{3} - 11 \, a^{3} b^{2} d^{4}\right)} x\right)} \sqrt{d x + c}}{128 \, {\left(a^{4} b^{6} c^{3} - 3 \, a^{5} b^{5} c^{2} d + 3 \, a^{6} b^{4} c d^{2} - a^{7} b^{3} d^{3} + {\left(b^{10} c^{3} - 3 \, a b^{9} c^{2} d + 3 \, a^{2} b^{8} c d^{2} - a^{3} b^{7} d^{3}\right)} x^{4} + 4 \, {\left(a b^{9} c^{3} - 3 \, a^{2} b^{8} c^{2} d + 3 \, a^{3} b^{7} c d^{2} - a^{4} b^{6} d^{3}\right)} x^{3} + 6 \, {\left(a^{2} b^{8} c^{3} - 3 \, a^{3} b^{7} c^{2} d + 3 \, a^{4} b^{6} c d^{2} - a^{5} b^{5} d^{3}\right)} x^{2} + 4 \, {\left(a^{3} b^{7} c^{3} - 3 \, a^{4} b^{6} c^{2} d + 3 \, a^{5} b^{5} c d^{2} - a^{6} b^{4} d^{3}\right)} x\right)}}, \frac{3 \, {\left(b^{4} d^{4} x^{4} + 4 \, a b^{3} d^{4} x^{3} + 6 \, a^{2} b^{2} d^{4} x^{2} + 4 \, a^{3} b d^{4} x + a^{4} d^{4}\right)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) - {\left(16 \, b^{5} c^{4} - 40 \, a b^{4} c^{3} d + 26 \, a^{2} b^{3} c^{2} d^{2} + a^{3} b^{2} c d^{3} - 3 \, a^{4} b d^{4} - 3 \, {\left(b^{5} c d^{3} - a b^{4} d^{4}\right)} x^{3} + {\left(2 \, b^{5} c^{2} d^{2} - 13 \, a b^{4} c d^{3} + 11 \, a^{2} b^{3} d^{4}\right)} x^{2} + {\left(24 \, b^{5} c^{3} d - 68 \, a b^{4} c^{2} d^{2} + 55 \, a^{2} b^{3} c d^{3} - 11 \, a^{3} b^{2} d^{4}\right)} x\right)} \sqrt{d x + c}}{64 \, {\left(a^{4} b^{6} c^{3} - 3 \, a^{5} b^{5} c^{2} d + 3 \, a^{6} b^{4} c d^{2} - a^{7} b^{3} d^{3} + {\left(b^{10} c^{3} - 3 \, a b^{9} c^{2} d + 3 \, a^{2} b^{8} c d^{2} - a^{3} b^{7} d^{3}\right)} x^{4} + 4 \, {\left(a b^{9} c^{3} - 3 \, a^{2} b^{8} c^{2} d + 3 \, a^{3} b^{7} c d^{2} - a^{4} b^{6} d^{3}\right)} x^{3} + 6 \, {\left(a^{2} b^{8} c^{3} - 3 \, a^{3} b^{7} c^{2} d + 3 \, a^{4} b^{6} c d^{2} - a^{5} b^{5} d^{3}\right)} x^{2} + 4 \, {\left(a^{3} b^{7} c^{3} - 3 \, a^{4} b^{6} c^{2} d + 3 \, a^{5} b^{5} c d^{2} - a^{6} b^{4} d^{3}\right)} x\right)}}\right]"," ",0,"[1/128*(3*(b^4*d^4*x^4 + 4*a*b^3*d^4*x^3 + 6*a^2*b^2*d^4*x^2 + 4*a^3*b*d^4*x + a^4*d^4)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) - 2*(16*b^5*c^4 - 40*a*b^4*c^3*d + 26*a^2*b^3*c^2*d^2 + a^3*b^2*c*d^3 - 3*a^4*b*d^4 - 3*(b^5*c*d^3 - a*b^4*d^4)*x^3 + (2*b^5*c^2*d^2 - 13*a*b^4*c*d^3 + 11*a^2*b^3*d^4)*x^2 + (24*b^5*c^3*d - 68*a*b^4*c^2*d^2 + 55*a^2*b^3*c*d^3 - 11*a^3*b^2*d^4)*x)*sqrt(d*x + c))/(a^4*b^6*c^3 - 3*a^5*b^5*c^2*d + 3*a^6*b^4*c*d^2 - a^7*b^3*d^3 + (b^10*c^3 - 3*a*b^9*c^2*d + 3*a^2*b^8*c*d^2 - a^3*b^7*d^3)*x^4 + 4*(a*b^9*c^3 - 3*a^2*b^8*c^2*d + 3*a^3*b^7*c*d^2 - a^4*b^6*d^3)*x^3 + 6*(a^2*b^8*c^3 - 3*a^3*b^7*c^2*d + 3*a^4*b^6*c*d^2 - a^5*b^5*d^3)*x^2 + 4*(a^3*b^7*c^3 - 3*a^4*b^6*c^2*d + 3*a^5*b^5*c*d^2 - a^6*b^4*d^3)*x), 1/64*(3*(b^4*d^4*x^4 + 4*a*b^3*d^4*x^3 + 6*a^2*b^2*d^4*x^2 + 4*a^3*b*d^4*x + a^4*d^4)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) - (16*b^5*c^4 - 40*a*b^4*c^3*d + 26*a^2*b^3*c^2*d^2 + a^3*b^2*c*d^3 - 3*a^4*b*d^4 - 3*(b^5*c*d^3 - a*b^4*d^4)*x^3 + (2*b^5*c^2*d^2 - 13*a*b^4*c*d^3 + 11*a^2*b^3*d^4)*x^2 + (24*b^5*c^3*d - 68*a*b^4*c^2*d^2 + 55*a^2*b^3*c*d^3 - 11*a^3*b^2*d^4)*x)*sqrt(d*x + c))/(a^4*b^6*c^3 - 3*a^5*b^5*c^2*d + 3*a^6*b^4*c*d^2 - a^7*b^3*d^3 + (b^10*c^3 - 3*a*b^9*c^2*d + 3*a^2*b^8*c*d^2 - a^3*b^7*d^3)*x^4 + 4*(a*b^9*c^3 - 3*a^2*b^8*c^2*d + 3*a^3*b^7*c*d^2 - a^4*b^6*d^3)*x^3 + 6*(a^2*b^8*c^3 - 3*a^3*b^7*c^2*d + 3*a^4*b^6*c*d^2 - a^5*b^5*d^3)*x^2 + 4*(a^3*b^7*c^3 - 3*a^4*b^6*c^2*d + 3*a^5*b^5*c*d^2 - a^6*b^4*d^3)*x)]","B",0
1398,1,1492,0,1.307580," ","integrate((d*x+c)^(3/2)/(b*x+a)^6,x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(b^{5} d^{5} x^{5} + 5 \, a b^{4} d^{5} x^{4} + 10 \, a^{2} b^{3} d^{5} x^{3} + 10 \, a^{3} b^{2} d^{5} x^{2} + 5 \, a^{4} b d^{5} x + a^{5} d^{5}\right)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) + 2 \, {\left(128 \, b^{6} c^{5} - 464 \, a b^{5} c^{4} d + 584 \, a^{2} b^{4} c^{3} d^{2} - 258 \, a^{3} b^{3} c^{2} d^{3} - 5 \, a^{4} b^{2} c d^{4} + 15 \, a^{5} b d^{5} + 15 \, {\left(b^{6} c d^{4} - a b^{5} d^{5}\right)} x^{4} - 10 \, {\left(b^{6} c^{2} d^{3} - 8 \, a b^{5} c d^{4} + 7 \, a^{2} b^{4} d^{5}\right)} x^{3} + 2 \, {\left(4 \, b^{6} c^{3} d^{2} - 27 \, a b^{5} c^{2} d^{3} + 87 \, a^{2} b^{4} c d^{4} - 64 \, a^{3} b^{3} d^{5}\right)} x^{2} + 2 \, {\left(88 \, b^{6} c^{4} d - 344 \, a b^{5} c^{3} d^{2} + 489 \, a^{2} b^{4} c^{2} d^{3} - 268 \, a^{3} b^{3} c d^{4} + 35 \, a^{4} b^{2} d^{5}\right)} x\right)} \sqrt{d x + c}}{1280 \, {\left(a^{5} b^{7} c^{4} - 4 \, a^{6} b^{6} c^{3} d + 6 \, a^{7} b^{5} c^{2} d^{2} - 4 \, a^{8} b^{4} c d^{3} + a^{9} b^{3} d^{4} + {\left(b^{12} c^{4} - 4 \, a b^{11} c^{3} d + 6 \, a^{2} b^{10} c^{2} d^{2} - 4 \, a^{3} b^{9} c d^{3} + a^{4} b^{8} d^{4}\right)} x^{5} + 5 \, {\left(a b^{11} c^{4} - 4 \, a^{2} b^{10} c^{3} d + 6 \, a^{3} b^{9} c^{2} d^{2} - 4 \, a^{4} b^{8} c d^{3} + a^{5} b^{7} d^{4}\right)} x^{4} + 10 \, {\left(a^{2} b^{10} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{4} b^{8} c^{2} d^{2} - 4 \, a^{5} b^{7} c d^{3} + a^{6} b^{6} d^{4}\right)} x^{3} + 10 \, {\left(a^{3} b^{9} c^{4} - 4 \, a^{4} b^{8} c^{3} d + 6 \, a^{5} b^{7} c^{2} d^{2} - 4 \, a^{6} b^{6} c d^{3} + a^{7} b^{5} d^{4}\right)} x^{2} + 5 \, {\left(a^{4} b^{8} c^{4} - 4 \, a^{5} b^{7} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{7} b^{5} c d^{3} + a^{8} b^{4} d^{4}\right)} x\right)}}, -\frac{15 \, {\left(b^{5} d^{5} x^{5} + 5 \, a b^{4} d^{5} x^{4} + 10 \, a^{2} b^{3} d^{5} x^{3} + 10 \, a^{3} b^{2} d^{5} x^{2} + 5 \, a^{4} b d^{5} x + a^{5} d^{5}\right)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) + {\left(128 \, b^{6} c^{5} - 464 \, a b^{5} c^{4} d + 584 \, a^{2} b^{4} c^{3} d^{2} - 258 \, a^{3} b^{3} c^{2} d^{3} - 5 \, a^{4} b^{2} c d^{4} + 15 \, a^{5} b d^{5} + 15 \, {\left(b^{6} c d^{4} - a b^{5} d^{5}\right)} x^{4} - 10 \, {\left(b^{6} c^{2} d^{3} - 8 \, a b^{5} c d^{4} + 7 \, a^{2} b^{4} d^{5}\right)} x^{3} + 2 \, {\left(4 \, b^{6} c^{3} d^{2} - 27 \, a b^{5} c^{2} d^{3} + 87 \, a^{2} b^{4} c d^{4} - 64 \, a^{3} b^{3} d^{5}\right)} x^{2} + 2 \, {\left(88 \, b^{6} c^{4} d - 344 \, a b^{5} c^{3} d^{2} + 489 \, a^{2} b^{4} c^{2} d^{3} - 268 \, a^{3} b^{3} c d^{4} + 35 \, a^{4} b^{2} d^{5}\right)} x\right)} \sqrt{d x + c}}{640 \, {\left(a^{5} b^{7} c^{4} - 4 \, a^{6} b^{6} c^{3} d + 6 \, a^{7} b^{5} c^{2} d^{2} - 4 \, a^{8} b^{4} c d^{3} + a^{9} b^{3} d^{4} + {\left(b^{12} c^{4} - 4 \, a b^{11} c^{3} d + 6 \, a^{2} b^{10} c^{2} d^{2} - 4 \, a^{3} b^{9} c d^{3} + a^{4} b^{8} d^{4}\right)} x^{5} + 5 \, {\left(a b^{11} c^{4} - 4 \, a^{2} b^{10} c^{3} d + 6 \, a^{3} b^{9} c^{2} d^{2} - 4 \, a^{4} b^{8} c d^{3} + a^{5} b^{7} d^{4}\right)} x^{4} + 10 \, {\left(a^{2} b^{10} c^{4} - 4 \, a^{3} b^{9} c^{3} d + 6 \, a^{4} b^{8} c^{2} d^{2} - 4 \, a^{5} b^{7} c d^{3} + a^{6} b^{6} d^{4}\right)} x^{3} + 10 \, {\left(a^{3} b^{9} c^{4} - 4 \, a^{4} b^{8} c^{3} d + 6 \, a^{5} b^{7} c^{2} d^{2} - 4 \, a^{6} b^{6} c d^{3} + a^{7} b^{5} d^{4}\right)} x^{2} + 5 \, {\left(a^{4} b^{8} c^{4} - 4 \, a^{5} b^{7} c^{3} d + 6 \, a^{6} b^{6} c^{2} d^{2} - 4 \, a^{7} b^{5} c d^{3} + a^{8} b^{4} d^{4}\right)} x\right)}}\right]"," ",0,"[-1/1280*(15*(b^5*d^5*x^5 + 5*a*b^4*d^5*x^4 + 10*a^2*b^3*d^5*x^3 + 10*a^3*b^2*d^5*x^2 + 5*a^4*b*d^5*x + a^5*d^5)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) + 2*(128*b^6*c^5 - 464*a*b^5*c^4*d + 584*a^2*b^4*c^3*d^2 - 258*a^3*b^3*c^2*d^3 - 5*a^4*b^2*c*d^4 + 15*a^5*b*d^5 + 15*(b^6*c*d^4 - a*b^5*d^5)*x^4 - 10*(b^6*c^2*d^3 - 8*a*b^5*c*d^4 + 7*a^2*b^4*d^5)*x^3 + 2*(4*b^6*c^3*d^2 - 27*a*b^5*c^2*d^3 + 87*a^2*b^4*c*d^4 - 64*a^3*b^3*d^5)*x^2 + 2*(88*b^6*c^4*d - 344*a*b^5*c^3*d^2 + 489*a^2*b^4*c^2*d^3 - 268*a^3*b^3*c*d^4 + 35*a^4*b^2*d^5)*x)*sqrt(d*x + c))/(a^5*b^7*c^4 - 4*a^6*b^6*c^3*d + 6*a^7*b^5*c^2*d^2 - 4*a^8*b^4*c*d^3 + a^9*b^3*d^4 + (b^12*c^4 - 4*a*b^11*c^3*d + 6*a^2*b^10*c^2*d^2 - 4*a^3*b^9*c*d^3 + a^4*b^8*d^4)*x^5 + 5*(a*b^11*c^4 - 4*a^2*b^10*c^3*d + 6*a^3*b^9*c^2*d^2 - 4*a^4*b^8*c*d^3 + a^5*b^7*d^4)*x^4 + 10*(a^2*b^10*c^4 - 4*a^3*b^9*c^3*d + 6*a^4*b^8*c^2*d^2 - 4*a^5*b^7*c*d^3 + a^6*b^6*d^4)*x^3 + 10*(a^3*b^9*c^4 - 4*a^4*b^8*c^3*d + 6*a^5*b^7*c^2*d^2 - 4*a^6*b^6*c*d^3 + a^7*b^5*d^4)*x^2 + 5*(a^4*b^8*c^4 - 4*a^5*b^7*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^7*b^5*c*d^3 + a^8*b^4*d^4)*x), -1/640*(15*(b^5*d^5*x^5 + 5*a*b^4*d^5*x^4 + 10*a^2*b^3*d^5*x^3 + 10*a^3*b^2*d^5*x^2 + 5*a^4*b*d^5*x + a^5*d^5)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) + (128*b^6*c^5 - 464*a*b^5*c^4*d + 584*a^2*b^4*c^3*d^2 - 258*a^3*b^3*c^2*d^3 - 5*a^4*b^2*c*d^4 + 15*a^5*b*d^5 + 15*(b^6*c*d^4 - a*b^5*d^5)*x^4 - 10*(b^6*c^2*d^3 - 8*a*b^5*c*d^4 + 7*a^2*b^4*d^5)*x^3 + 2*(4*b^6*c^3*d^2 - 27*a*b^5*c^2*d^3 + 87*a^2*b^4*c*d^4 - 64*a^3*b^3*d^5)*x^2 + 2*(88*b^6*c^4*d - 344*a*b^5*c^3*d^2 + 489*a^2*b^4*c^2*d^3 - 268*a^3*b^3*c*d^4 + 35*a^4*b^2*d^5)*x)*sqrt(d*x + c))/(a^5*b^7*c^4 - 4*a^6*b^6*c^3*d + 6*a^7*b^5*c^2*d^2 - 4*a^8*b^4*c*d^3 + a^9*b^3*d^4 + (b^12*c^4 - 4*a*b^11*c^3*d + 6*a^2*b^10*c^2*d^2 - 4*a^3*b^9*c*d^3 + a^4*b^8*d^4)*x^5 + 5*(a*b^11*c^4 - 4*a^2*b^10*c^3*d + 6*a^3*b^9*c^2*d^2 - 4*a^4*b^8*c*d^3 + a^5*b^7*d^4)*x^4 + 10*(a^2*b^10*c^4 - 4*a^3*b^9*c^3*d + 6*a^4*b^8*c^2*d^2 - 4*a^5*b^7*c*d^3 + a^6*b^6*d^4)*x^3 + 10*(a^3*b^9*c^4 - 4*a^4*b^8*c^3*d + 6*a^5*b^7*c^2*d^2 - 4*a^6*b^6*c*d^3 + a^7*b^5*d^4)*x^2 + 5*(a^4*b^8*c^4 - 4*a^5*b^7*c^3*d + 6*a^6*b^6*c^2*d^2 - 4*a^7*b^5*c*d^3 + a^8*b^4*d^4)*x)]","B",0
1399,1,497,0,1.286795," ","integrate((b*x+a)^5*(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(9009 \, b^{5} d^{8} x^{8} - 256 \, b^{5} c^{8} + 2176 \, a b^{4} c^{7} d - 8160 \, a^{2} b^{3} c^{6} d^{2} + 17680 \, a^{3} b^{2} c^{5} d^{3} - 24310 \, a^{4} b c^{4} d^{4} + 21879 \, a^{5} c^{3} d^{5} + 3003 \, {\left(7 \, b^{5} c d^{7} + 17 \, a b^{4} d^{8}\right)} x^{7} + 231 \, {\left(55 \, b^{5} c^{2} d^{6} + 527 \, a b^{4} c d^{7} + 510 \, a^{2} b^{3} d^{8}\right)} x^{6} + 63 \, {\left(b^{5} c^{3} d^{5} + 1207 \, a b^{4} c^{2} d^{6} + 4590 \, a^{2} b^{3} c d^{7} + 2210 \, a^{3} b^{2} d^{8}\right)} x^{5} - 35 \, {\left(2 \, b^{5} c^{4} d^{4} - 17 \, a b^{4} c^{3} d^{5} - 5406 \, a^{2} b^{3} c^{2} d^{6} - 10166 \, a^{3} b^{2} c d^{7} - 2431 \, a^{4} b d^{8}\right)} x^{4} + {\left(80 \, b^{5} c^{5} d^{3} - 680 \, a b^{4} c^{4} d^{4} + 2550 \, a^{2} b^{3} c^{3} d^{5} + 249730 \, a^{3} b^{2} c^{2} d^{6} + 230945 \, a^{4} b c d^{7} + 21879 \, a^{5} d^{8}\right)} x^{3} - 3 \, {\left(32 \, b^{5} c^{6} d^{2} - 272 \, a b^{4} c^{5} d^{3} + 1020 \, a^{2} b^{3} c^{4} d^{4} - 2210 \, a^{3} b^{2} c^{3} d^{5} - 60775 \, a^{4} b c^{2} d^{6} - 21879 \, a^{5} c d^{7}\right)} x^{2} + {\left(128 \, b^{5} c^{7} d - 1088 \, a b^{4} c^{6} d^{2} + 4080 \, a^{2} b^{3} c^{5} d^{3} - 8840 \, a^{3} b^{2} c^{4} d^{4} + 12155 \, a^{4} b c^{3} d^{5} + 65637 \, a^{5} c^{2} d^{6}\right)} x\right)} \sqrt{d x + c}}{153153 \, d^{6}}"," ",0,"2/153153*(9009*b^5*d^8*x^8 - 256*b^5*c^8 + 2176*a*b^4*c^7*d - 8160*a^2*b^3*c^6*d^2 + 17680*a^3*b^2*c^5*d^3 - 24310*a^4*b*c^4*d^4 + 21879*a^5*c^3*d^5 + 3003*(7*b^5*c*d^7 + 17*a*b^4*d^8)*x^7 + 231*(55*b^5*c^2*d^6 + 527*a*b^4*c*d^7 + 510*a^2*b^3*d^8)*x^6 + 63*(b^5*c^3*d^5 + 1207*a*b^4*c^2*d^6 + 4590*a^2*b^3*c*d^7 + 2210*a^3*b^2*d^8)*x^5 - 35*(2*b^5*c^4*d^4 - 17*a*b^4*c^3*d^5 - 5406*a^2*b^3*c^2*d^6 - 10166*a^3*b^2*c*d^7 - 2431*a^4*b*d^8)*x^4 + (80*b^5*c^5*d^3 - 680*a*b^4*c^4*d^4 + 2550*a^2*b^3*c^3*d^5 + 249730*a^3*b^2*c^2*d^6 + 230945*a^4*b*c*d^7 + 21879*a^5*d^8)*x^3 - 3*(32*b^5*c^6*d^2 - 272*a*b^4*c^5*d^3 + 1020*a^2*b^3*c^4*d^4 - 2210*a^3*b^2*c^3*d^5 - 60775*a^4*b*c^2*d^6 - 21879*a^5*c*d^7)*x^2 + (128*b^5*c^7*d - 1088*a*b^4*c^6*d^2 + 4080*a^2*b^3*c^5*d^3 - 8840*a^3*b^2*c^4*d^4 + 12155*a^4*b*c^3*d^5 + 65637*a^5*c^2*d^6)*x)*sqrt(d*x + c)/d^6","B",0
1400,1,377,0,1.379189," ","integrate((b*x+a)^4*(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3003 \, b^{4} d^{7} x^{7} + 128 \, b^{4} c^{7} - 960 \, a b^{3} c^{6} d + 3120 \, a^{2} b^{2} c^{5} d^{2} - 5720 \, a^{3} b c^{4} d^{3} + 6435 \, a^{4} c^{3} d^{4} + 231 \, {\left(31 \, b^{4} c d^{6} + 60 \, a b^{3} d^{7}\right)} x^{6} + 63 \, {\left(71 \, b^{4} c^{2} d^{5} + 540 \, a b^{3} c d^{6} + 390 \, a^{2} b^{2} d^{7}\right)} x^{5} + 35 \, {\left(b^{4} c^{3} d^{4} + 636 \, a b^{3} c^{2} d^{5} + 1794 \, a^{2} b^{2} c d^{6} + 572 \, a^{3} b d^{7}\right)} x^{4} - 5 \, {\left(8 \, b^{4} c^{4} d^{3} - 60 \, a b^{3} c^{3} d^{4} - 8814 \, a^{2} b^{2} c^{2} d^{5} - 10868 \, a^{3} b c d^{6} - 1287 \, a^{4} d^{7}\right)} x^{3} + 3 \, {\left(16 \, b^{4} c^{5} d^{2} - 120 \, a b^{3} c^{4} d^{3} + 390 \, a^{2} b^{2} c^{3} d^{4} + 14300 \, a^{3} b c^{2} d^{5} + 6435 \, a^{4} c d^{6}\right)} x^{2} - {\left(64 \, b^{4} c^{6} d - 480 \, a b^{3} c^{5} d^{2} + 1560 \, a^{2} b^{2} c^{4} d^{3} - 2860 \, a^{3} b c^{3} d^{4} - 19305 \, a^{4} c^{2} d^{5}\right)} x\right)} \sqrt{d x + c}}{45045 \, d^{5}}"," ",0,"2/45045*(3003*b^4*d^7*x^7 + 128*b^4*c^7 - 960*a*b^3*c^6*d + 3120*a^2*b^2*c^5*d^2 - 5720*a^3*b*c^4*d^3 + 6435*a^4*c^3*d^4 + 231*(31*b^4*c*d^6 + 60*a*b^3*d^7)*x^6 + 63*(71*b^4*c^2*d^5 + 540*a*b^3*c*d^6 + 390*a^2*b^2*d^7)*x^5 + 35*(b^4*c^3*d^4 + 636*a*b^3*c^2*d^5 + 1794*a^2*b^2*c*d^6 + 572*a^3*b*d^7)*x^4 - 5*(8*b^4*c^4*d^3 - 60*a*b^3*c^3*d^4 - 8814*a^2*b^2*c^2*d^5 - 10868*a^3*b*c*d^6 - 1287*a^4*d^7)*x^3 + 3*(16*b^4*c^5*d^2 - 120*a*b^3*c^4*d^3 + 390*a^2*b^2*c^3*d^4 + 14300*a^3*b*c^2*d^5 + 6435*a^4*c*d^6)*x^2 - (64*b^4*c^6*d - 480*a*b^3*c^5*d^2 + 1560*a^2*b^2*c^4*d^3 - 2860*a^3*b*c^3*d^4 - 19305*a^4*c^2*d^5)*x)*sqrt(d*x + c)/d^5","B",0
1401,1,268,0,1.540516," ","integrate((b*x+a)^3*(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(231 \, b^{3} d^{6} x^{6} - 16 \, b^{3} c^{6} + 104 \, a b^{2} c^{5} d - 286 \, a^{2} b c^{4} d^{2} + 429 \, a^{3} c^{3} d^{3} + 63 \, {\left(9 \, b^{3} c d^{5} + 13 \, a b^{2} d^{6}\right)} x^{5} + 7 \, {\left(53 \, b^{3} c^{2} d^{4} + 299 \, a b^{2} c d^{5} + 143 \, a^{2} b d^{6}\right)} x^{4} + {\left(5 \, b^{3} c^{3} d^{3} + 1469 \, a b^{2} c^{2} d^{4} + 2717 \, a^{2} b c d^{5} + 429 \, a^{3} d^{6}\right)} x^{3} - 3 \, {\left(2 \, b^{3} c^{4} d^{2} - 13 \, a b^{2} c^{3} d^{3} - 715 \, a^{2} b c^{2} d^{4} - 429 \, a^{3} c d^{5}\right)} x^{2} + {\left(8 \, b^{3} c^{5} d - 52 \, a b^{2} c^{4} d^{2} + 143 \, a^{2} b c^{3} d^{3} + 1287 \, a^{3} c^{2} d^{4}\right)} x\right)} \sqrt{d x + c}}{3003 \, d^{4}}"," ",0,"2/3003*(231*b^3*d^6*x^6 - 16*b^3*c^6 + 104*a*b^2*c^5*d - 286*a^2*b*c^4*d^2 + 429*a^3*c^3*d^3 + 63*(9*b^3*c*d^5 + 13*a*b^2*d^6)*x^5 + 7*(53*b^3*c^2*d^4 + 299*a*b^2*c*d^5 + 143*a^2*b*d^6)*x^4 + (5*b^3*c^3*d^3 + 1469*a*b^2*c^2*d^4 + 2717*a^2*b*c*d^5 + 429*a^3*d^6)*x^3 - 3*(2*b^3*c^4*d^2 - 13*a*b^2*c^3*d^3 - 715*a^2*b*c^2*d^4 - 429*a^3*c*d^5)*x^2 + (8*b^3*c^5*d - 52*a*b^2*c^4*d^2 + 143*a^2*b*c^3*d^3 + 1287*a^3*c^2*d^4)*x)*sqrt(d*x + c)/d^4","B",0
1402,1,174,0,1.230706," ","integrate((b*x+a)^2*(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(63 \, b^{2} d^{5} x^{5} + 8 \, b^{2} c^{5} - 44 \, a b c^{4} d + 99 \, a^{2} c^{3} d^{2} + 7 \, {\left(23 \, b^{2} c d^{4} + 22 \, a b d^{5}\right)} x^{4} + {\left(113 \, b^{2} c^{2} d^{3} + 418 \, a b c d^{4} + 99 \, a^{2} d^{5}\right)} x^{3} + 3 \, {\left(b^{2} c^{3} d^{2} + 110 \, a b c^{2} d^{3} + 99 \, a^{2} c d^{4}\right)} x^{2} - {\left(4 \, b^{2} c^{4} d - 22 \, a b c^{3} d^{2} - 297 \, a^{2} c^{2} d^{3}\right)} x\right)} \sqrt{d x + c}}{693 \, d^{3}}"," ",0,"2/693*(63*b^2*d^5*x^5 + 8*b^2*c^5 - 44*a*b*c^4*d + 99*a^2*c^3*d^2 + 7*(23*b^2*c*d^4 + 22*a*b*d^5)*x^4 + (113*b^2*c^2*d^3 + 418*a*b*c*d^4 + 99*a^2*d^5)*x^3 + 3*(b^2*c^3*d^2 + 110*a*b*c^2*d^3 + 99*a^2*c*d^4)*x^2 - (4*b^2*c^4*d - 22*a*b*c^3*d^2 - 297*a^2*c^2*d^3)*x)*sqrt(d*x + c)/d^3","B",0
1403,1,93,0,1.215400," ","integrate((b*x+a)*(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(7 \, b d^{4} x^{4} - 2 \, b c^{4} + 9 \, a c^{3} d + {\left(19 \, b c d^{3} + 9 \, a d^{4}\right)} x^{3} + 3 \, {\left(5 \, b c^{2} d^{2} + 9 \, a c d^{3}\right)} x^{2} + {\left(b c^{3} d + 27 \, a c^{2} d^{2}\right)} x\right)} \sqrt{d x + c}}{63 \, d^{2}}"," ",0,"2/63*(7*b*d^4*x^4 - 2*b*c^4 + 9*a*c^3*d + (19*b*c*d^3 + 9*a*d^4)*x^3 + 3*(5*b*c^2*d^2 + 9*a*c*d^3)*x^2 + (b*c^3*d + 27*a*c^2*d^2)*x)*sqrt(d*x + c)/d^2","B",0
1404,1,39,0,1.215219," ","integrate((d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)} \sqrt{d x + c}}{7 \, d}"," ",0,"2/7*(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)*sqrt(d*x + c)/d","B",0
1405,1,290,0,1.246753," ","integrate((d*x+c)^(5/2)/(b*x+a),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{\frac{b c - a d}{b}} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{d x + c} b \sqrt{\frac{b c - a d}{b}}}{b x + a}\right) + 2 \, {\left(3 \, b^{2} d^{2} x^{2} + 23 \, b^{2} c^{2} - 35 \, a b c d + 15 \, a^{2} d^{2} + {\left(11 \, b^{2} c d - 5 \, a b d^{2}\right)} x\right)} \sqrt{d x + c}}{15 \, b^{3}}, -\frac{2 \, {\left(15 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{-\frac{b c - a d}{b}} \arctan\left(-\frac{\sqrt{d x + c} b \sqrt{-\frac{b c - a d}{b}}}{b c - a d}\right) - {\left(3 \, b^{2} d^{2} x^{2} + 23 \, b^{2} c^{2} - 35 \, a b c d + 15 \, a^{2} d^{2} + {\left(11 \, b^{2} c d - 5 \, a b d^{2}\right)} x\right)} \sqrt{d x + c}\right)}}{15 \, b^{3}}\right]"," ",0,"[1/15*(15*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt((b*c - a*d)/b)*log((b*d*x + 2*b*c - a*d - 2*sqrt(d*x + c)*b*sqrt((b*c - a*d)/b))/(b*x + a)) + 2*(3*b^2*d^2*x^2 + 23*b^2*c^2 - 35*a*b*c*d + 15*a^2*d^2 + (11*b^2*c*d - 5*a*b*d^2)*x)*sqrt(d*x + c))/b^3, -2/15*(15*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(-(b*c - a*d)/b)*arctan(-sqrt(d*x + c)*b*sqrt(-(b*c - a*d)/b)/(b*c - a*d)) - (3*b^2*d^2*x^2 + 23*b^2*c^2 - 35*a*b*c*d + 15*a^2*d^2 + (11*b^2*c*d - 5*a*b*d^2)*x)*sqrt(d*x + c))/b^3]","A",0
1406,1,330,0,1.251681," ","integrate((d*x+c)^(5/2)/(b*x+a)^2,x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(a b c d - a^{2} d^{2} + {\left(b^{2} c d - a b d^{2}\right)} x\right)} \sqrt{\frac{b c - a d}{b}} \log\left(\frac{b d x + 2 \, b c - a d + 2 \, \sqrt{d x + c} b \sqrt{\frac{b c - a d}{b}}}{b x + a}\right) - 2 \, {\left(2 \, b^{2} d^{2} x^{2} - 3 \, b^{2} c^{2} + 20 \, a b c d - 15 \, a^{2} d^{2} + 2 \, {\left(7 \, b^{2} c d - 5 \, a b d^{2}\right)} x\right)} \sqrt{d x + c}}{6 \, {\left(b^{4} x + a b^{3}\right)}}, -\frac{15 \, {\left(a b c d - a^{2} d^{2} + {\left(b^{2} c d - a b d^{2}\right)} x\right)} \sqrt{-\frac{b c - a d}{b}} \arctan\left(-\frac{\sqrt{d x + c} b \sqrt{-\frac{b c - a d}{b}}}{b c - a d}\right) - {\left(2 \, b^{2} d^{2} x^{2} - 3 \, b^{2} c^{2} + 20 \, a b c d - 15 \, a^{2} d^{2} + 2 \, {\left(7 \, b^{2} c d - 5 \, a b d^{2}\right)} x\right)} \sqrt{d x + c}}{3 \, {\left(b^{4} x + a b^{3}\right)}}\right]"," ",0,"[-1/6*(15*(a*b*c*d - a^2*d^2 + (b^2*c*d - a*b*d^2)*x)*sqrt((b*c - a*d)/b)*log((b*d*x + 2*b*c - a*d + 2*sqrt(d*x + c)*b*sqrt((b*c - a*d)/b))/(b*x + a)) - 2*(2*b^2*d^2*x^2 - 3*b^2*c^2 + 20*a*b*c*d - 15*a^2*d^2 + 2*(7*b^2*c*d - 5*a*b*d^2)*x)*sqrt(d*x + c))/(b^4*x + a*b^3), -1/3*(15*(a*b*c*d - a^2*d^2 + (b^2*c*d - a*b*d^2)*x)*sqrt(-(b*c - a*d)/b)*arctan(-sqrt(d*x + c)*b*sqrt(-(b*c - a*d)/b)/(b*c - a*d)) - (2*b^2*d^2*x^2 - 3*b^2*c^2 + 20*a*b*c*d - 15*a^2*d^2 + 2*(7*b^2*c*d - 5*a*b*d^2)*x)*sqrt(d*x + c))/(b^4*x + a*b^3)]","A",0
1407,1,344,0,1.564889," ","integrate((d*x+c)^(5/2)/(b*x+a)^3,x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2}\right)} \sqrt{\frac{b c - a d}{b}} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{d x + c} b \sqrt{\frac{b c - a d}{b}}}{b x + a}\right) + 2 \, {\left(8 \, b^{2} d^{2} x^{2} - 2 \, b^{2} c^{2} - 5 \, a b c d + 15 \, a^{2} d^{2} - {\left(9 \, b^{2} c d - 25 \, a b d^{2}\right)} x\right)} \sqrt{d x + c}}{8 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}, -\frac{15 \, {\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2}\right)} \sqrt{-\frac{b c - a d}{b}} \arctan\left(-\frac{\sqrt{d x + c} b \sqrt{-\frac{b c - a d}{b}}}{b c - a d}\right) - {\left(8 \, b^{2} d^{2} x^{2} - 2 \, b^{2} c^{2} - 5 \, a b c d + 15 \, a^{2} d^{2} - {\left(9 \, b^{2} c d - 25 \, a b d^{2}\right)} x\right)} \sqrt{d x + c}}{4 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}\right]"," ",0,"[1/8*(15*(b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2)*sqrt((b*c - a*d)/b)*log((b*d*x + 2*b*c - a*d - 2*sqrt(d*x + c)*b*sqrt((b*c - a*d)/b))/(b*x + a)) + 2*(8*b^2*d^2*x^2 - 2*b^2*c^2 - 5*a*b*c*d + 15*a^2*d^2 - (9*b^2*c*d - 25*a*b*d^2)*x)*sqrt(d*x + c))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3), -1/4*(15*(b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2)*sqrt(-(b*c - a*d)/b)*arctan(-sqrt(d*x + c)*b*sqrt(-(b*c - a*d)/b)/(b*c - a*d)) - (8*b^2*d^2*x^2 - 2*b^2*c^2 - 5*a*b*c*d + 15*a^2*d^2 - (9*b^2*c*d - 25*a*b*d^2)*x)*sqrt(d*x + c))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3)]","A",0
1408,1,563,0,1.196765," ","integrate((d*x+c)^(5/2)/(b*x+a)^4,x, algorithm=""fricas"")","\left[\frac{15 \, {\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)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) - 2 \, {\left(8 \, b^{4} c^{3} + 2 \, a b^{3} c^{2} d + 5 \, a^{2} b^{2} c d^{2} - 15 \, a^{3} b d^{3} + 33 \, {\left(b^{4} c d^{2} - a b^{3} d^{3}\right)} x^{2} + 2 \, {\left(13 \, b^{4} c^{2} d + 7 \, a b^{3} c d^{2} - 20 \, a^{2} b^{2} d^{3}\right)} x\right)} \sqrt{d x + c}}{48 \, {\left(a^{3} b^{5} c - a^{4} b^{4} d + {\left(b^{8} c - a b^{7} d\right)} x^{3} + 3 \, {\left(a b^{7} c - a^{2} b^{6} d\right)} x^{2} + 3 \, {\left(a^{2} b^{6} c - a^{3} b^{5} d\right)} x\right)}}, \frac{15 \, {\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)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) - {\left(8 \, b^{4} c^{3} + 2 \, a b^{3} c^{2} d + 5 \, a^{2} b^{2} c d^{2} - 15 \, a^{3} b d^{3} + 33 \, {\left(b^{4} c d^{2} - a b^{3} d^{3}\right)} x^{2} + 2 \, {\left(13 \, b^{4} c^{2} d + 7 \, a b^{3} c d^{2} - 20 \, a^{2} b^{2} d^{3}\right)} x\right)} \sqrt{d x + c}}{24 \, {\left(a^{3} b^{5} c - a^{4} b^{4} d + {\left(b^{8} c - a b^{7} d\right)} x^{3} + 3 \, {\left(a b^{7} c - a^{2} b^{6} d\right)} x^{2} + 3 \, {\left(a^{2} b^{6} c - a^{3} b^{5} d\right)} x\right)}}\right]"," ",0,"[1/48*(15*(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)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) - 2*(8*b^4*c^3 + 2*a*b^3*c^2*d + 5*a^2*b^2*c*d^2 - 15*a^3*b*d^3 + 33*(b^4*c*d^2 - a*b^3*d^3)*x^2 + 2*(13*b^4*c^2*d + 7*a*b^3*c*d^2 - 20*a^2*b^2*d^3)*x)*sqrt(d*x + c))/(a^3*b^5*c - a^4*b^4*d + (b^8*c - a*b^7*d)*x^3 + 3*(a*b^7*c - a^2*b^6*d)*x^2 + 3*(a^2*b^6*c - a^3*b^5*d)*x), 1/24*(15*(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)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) - (8*b^4*c^3 + 2*a*b^3*c^2*d + 5*a^2*b^2*c*d^2 - 15*a^3*b*d^3 + 33*(b^4*c*d^2 - a*b^3*d^3)*x^2 + 2*(13*b^4*c^2*d + 7*a*b^3*c*d^2 - 20*a^2*b^2*d^3)*x)*sqrt(d*x + c))/(a^3*b^5*c - a^4*b^4*d + (b^8*c - a*b^7*d)*x^3 + 3*(a*b^7*c - a^2*b^6*d)*x^2 + 3*(a^2*b^6*c - a^3*b^5*d)*x)]","B",0
1409,1,894,0,1.419238," ","integrate((d*x+c)^(5/2)/(b*x+a)^5,x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(b^{4} d^{4} x^{4} + 4 \, a b^{3} d^{4} x^{3} + 6 \, a^{2} b^{2} d^{4} x^{2} + 4 \, a^{3} b d^{4} x + a^{4} d^{4}\right)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) + 2 \, {\left(48 \, b^{5} c^{4} - 56 \, a b^{4} c^{3} d - 2 \, a^{2} b^{3} c^{2} d^{2} - 5 \, a^{3} b^{2} c d^{3} + 15 \, a^{4} b d^{4} + 15 \, {\left(b^{5} c d^{3} - a b^{4} d^{4}\right)} x^{3} + {\left(118 \, b^{5} c^{2} d^{2} - 191 \, a b^{4} c d^{3} + 73 \, a^{2} b^{3} d^{4}\right)} x^{2} + {\left(136 \, b^{5} c^{3} d - 172 \, a b^{4} c^{2} d^{2} - 19 \, a^{2} b^{3} c d^{3} + 55 \, a^{3} b^{2} d^{4}\right)} x\right)} \sqrt{d x + c}}{384 \, {\left(a^{4} b^{6} c^{2} - 2 \, a^{5} b^{5} c d + a^{6} b^{4} d^{2} + {\left(b^{10} c^{2} - 2 \, a b^{9} c d + a^{2} b^{8} d^{2}\right)} x^{4} + 4 \, {\left(a b^{9} c^{2} - 2 \, a^{2} b^{8} c d + a^{3} b^{7} d^{2}\right)} x^{3} + 6 \, {\left(a^{2} b^{8} c^{2} - 2 \, a^{3} b^{7} c d + a^{4} b^{6} d^{2}\right)} x^{2} + 4 \, {\left(a^{3} b^{7} c^{2} - 2 \, a^{4} b^{6} c d + a^{5} b^{5} d^{2}\right)} x\right)}}, -\frac{15 \, {\left(b^{4} d^{4} x^{4} + 4 \, a b^{3} d^{4} x^{3} + 6 \, a^{2} b^{2} d^{4} x^{2} + 4 \, a^{3} b d^{4} x + a^{4} d^{4}\right)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) + {\left(48 \, b^{5} c^{4} - 56 \, a b^{4} c^{3} d - 2 \, a^{2} b^{3} c^{2} d^{2} - 5 \, a^{3} b^{2} c d^{3} + 15 \, a^{4} b d^{4} + 15 \, {\left(b^{5} c d^{3} - a b^{4} d^{4}\right)} x^{3} + {\left(118 \, b^{5} c^{2} d^{2} - 191 \, a b^{4} c d^{3} + 73 \, a^{2} b^{3} d^{4}\right)} x^{2} + {\left(136 \, b^{5} c^{3} d - 172 \, a b^{4} c^{2} d^{2} - 19 \, a^{2} b^{3} c d^{3} + 55 \, a^{3} b^{2} d^{4}\right)} x\right)} \sqrt{d x + c}}{192 \, {\left(a^{4} b^{6} c^{2} - 2 \, a^{5} b^{5} c d + a^{6} b^{4} d^{2} + {\left(b^{10} c^{2} - 2 \, a b^{9} c d + a^{2} b^{8} d^{2}\right)} x^{4} + 4 \, {\left(a b^{9} c^{2} - 2 \, a^{2} b^{8} c d + a^{3} b^{7} d^{2}\right)} x^{3} + 6 \, {\left(a^{2} b^{8} c^{2} - 2 \, a^{3} b^{7} c d + a^{4} b^{6} d^{2}\right)} x^{2} + 4 \, {\left(a^{3} b^{7} c^{2} - 2 \, a^{4} b^{6} c d + a^{5} b^{5} d^{2}\right)} x\right)}}\right]"," ",0,"[-1/384*(15*(b^4*d^4*x^4 + 4*a*b^3*d^4*x^3 + 6*a^2*b^2*d^4*x^2 + 4*a^3*b*d^4*x + a^4*d^4)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) + 2*(48*b^5*c^4 - 56*a*b^4*c^3*d - 2*a^2*b^3*c^2*d^2 - 5*a^3*b^2*c*d^3 + 15*a^4*b*d^4 + 15*(b^5*c*d^3 - a*b^4*d^4)*x^3 + (118*b^5*c^2*d^2 - 191*a*b^4*c*d^3 + 73*a^2*b^3*d^4)*x^2 + (136*b^5*c^3*d - 172*a*b^4*c^2*d^2 - 19*a^2*b^3*c*d^3 + 55*a^3*b^2*d^4)*x)*sqrt(d*x + c))/(a^4*b^6*c^2 - 2*a^5*b^5*c*d + a^6*b^4*d^2 + (b^10*c^2 - 2*a*b^9*c*d + a^2*b^8*d^2)*x^4 + 4*(a*b^9*c^2 - 2*a^2*b^8*c*d + a^3*b^7*d^2)*x^3 + 6*(a^2*b^8*c^2 - 2*a^3*b^7*c*d + a^4*b^6*d^2)*x^2 + 4*(a^3*b^7*c^2 - 2*a^4*b^6*c*d + a^5*b^5*d^2)*x), -1/192*(15*(b^4*d^4*x^4 + 4*a*b^3*d^4*x^3 + 6*a^2*b^2*d^4*x^2 + 4*a^3*b*d^4*x + a^4*d^4)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) + (48*b^5*c^4 - 56*a*b^4*c^3*d - 2*a^2*b^3*c^2*d^2 - 5*a^3*b^2*c*d^3 + 15*a^4*b*d^4 + 15*(b^5*c*d^3 - a*b^4*d^4)*x^3 + (118*b^5*c^2*d^2 - 191*a*b^4*c*d^3 + 73*a^2*b^3*d^4)*x^2 + (136*b^5*c^3*d - 172*a*b^4*c^2*d^2 - 19*a^2*b^3*c*d^3 + 55*a^3*b^2*d^4)*x)*sqrt(d*x + c))/(a^4*b^6*c^2 - 2*a^5*b^5*c*d + a^6*b^4*d^2 + (b^10*c^2 - 2*a*b^9*c*d + a^2*b^8*d^2)*x^4 + 4*(a*b^9*c^2 - 2*a^2*b^8*c*d + a^3*b^7*d^2)*x^3 + 6*(a^2*b^8*c^2 - 2*a^3*b^7*c*d + a^4*b^6*d^2)*x^2 + 4*(a^3*b^7*c^2 - 2*a^4*b^6*c*d + a^5*b^5*d^2)*x)]","B",0
1410,1,1337,0,1.491373," ","integrate((d*x+c)^(5/2)/(b*x+a)^6,x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{5} d^{5} x^{5} + 5 \, a b^{4} d^{5} x^{4} + 10 \, a^{2} b^{3} d^{5} x^{3} + 10 \, a^{3} b^{2} d^{5} x^{2} + 5 \, a^{4} b d^{5} x + a^{5} d^{5}\right)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) - 2 \, {\left(128 \, b^{6} c^{5} - 304 \, a b^{5} c^{4} d + 184 \, a^{2} b^{4} c^{3} d^{2} + 2 \, a^{3} b^{3} c^{2} d^{3} + 5 \, a^{4} b^{2} c d^{4} - 15 \, a^{5} b d^{5} - 15 \, {\left(b^{6} c d^{4} - a b^{5} d^{5}\right)} x^{4} + 10 \, {\left(b^{6} c^{2} d^{3} - 8 \, a b^{5} c d^{4} + 7 \, a^{2} b^{4} d^{5}\right)} x^{3} + 2 \, {\left(124 \, b^{6} c^{3} d^{2} - 357 \, a b^{5} c^{2} d^{3} + 297 \, a^{2} b^{4} c d^{4} - 64 \, a^{3} b^{3} d^{5}\right)} x^{2} + 2 \, {\left(168 \, b^{6} c^{4} d - 424 \, a b^{5} c^{3} d^{2} + 279 \, a^{2} b^{4} c^{2} d^{3} + 12 \, a^{3} b^{3} c d^{4} - 35 \, a^{4} b^{2} d^{5}\right)} x\right)} \sqrt{d x + c}}{1280 \, {\left(a^{5} b^{7} c^{3} - 3 \, a^{6} b^{6} c^{2} d + 3 \, a^{7} b^{5} c d^{2} - a^{8} b^{4} d^{3} + {\left(b^{12} c^{3} - 3 \, a b^{11} c^{2} d + 3 \, a^{2} b^{10} c d^{2} - a^{3} b^{9} d^{3}\right)} x^{5} + 5 \, {\left(a b^{11} c^{3} - 3 \, a^{2} b^{10} c^{2} d + 3 \, a^{3} b^{9} c d^{2} - a^{4} b^{8} d^{3}\right)} x^{4} + 10 \, {\left(a^{2} b^{10} c^{3} - 3 \, a^{3} b^{9} c^{2} d + 3 \, a^{4} b^{8} c d^{2} - a^{5} b^{7} d^{3}\right)} x^{3} + 10 \, {\left(a^{3} b^{9} c^{3} - 3 \, a^{4} b^{8} c^{2} d + 3 \, a^{5} b^{7} c d^{2} - a^{6} b^{6} d^{3}\right)} x^{2} + 5 \, {\left(a^{4} b^{8} c^{3} - 3 \, a^{5} b^{7} c^{2} d + 3 \, a^{6} b^{6} c d^{2} - a^{7} b^{5} d^{3}\right)} x\right)}}, \frac{15 \, {\left(b^{5} d^{5} x^{5} + 5 \, a b^{4} d^{5} x^{4} + 10 \, a^{2} b^{3} d^{5} x^{3} + 10 \, a^{3} b^{2} d^{5} x^{2} + 5 \, a^{4} b d^{5} x + a^{5} d^{5}\right)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) - {\left(128 \, b^{6} c^{5} - 304 \, a b^{5} c^{4} d + 184 \, a^{2} b^{4} c^{3} d^{2} + 2 \, a^{3} b^{3} c^{2} d^{3} + 5 \, a^{4} b^{2} c d^{4} - 15 \, a^{5} b d^{5} - 15 \, {\left(b^{6} c d^{4} - a b^{5} d^{5}\right)} x^{4} + 10 \, {\left(b^{6} c^{2} d^{3} - 8 \, a b^{5} c d^{4} + 7 \, a^{2} b^{4} d^{5}\right)} x^{3} + 2 \, {\left(124 \, b^{6} c^{3} d^{2} - 357 \, a b^{5} c^{2} d^{3} + 297 \, a^{2} b^{4} c d^{4} - 64 \, a^{3} b^{3} d^{5}\right)} x^{2} + 2 \, {\left(168 \, b^{6} c^{4} d - 424 \, a b^{5} c^{3} d^{2} + 279 \, a^{2} b^{4} c^{2} d^{3} + 12 \, a^{3} b^{3} c d^{4} - 35 \, a^{4} b^{2} d^{5}\right)} x\right)} \sqrt{d x + c}}{640 \, {\left(a^{5} b^{7} c^{3} - 3 \, a^{6} b^{6} c^{2} d + 3 \, a^{7} b^{5} c d^{2} - a^{8} b^{4} d^{3} + {\left(b^{12} c^{3} - 3 \, a b^{11} c^{2} d + 3 \, a^{2} b^{10} c d^{2} - a^{3} b^{9} d^{3}\right)} x^{5} + 5 \, {\left(a b^{11} c^{3} - 3 \, a^{2} b^{10} c^{2} d + 3 \, a^{3} b^{9} c d^{2} - a^{4} b^{8} d^{3}\right)} x^{4} + 10 \, {\left(a^{2} b^{10} c^{3} - 3 \, a^{3} b^{9} c^{2} d + 3 \, a^{4} b^{8} c d^{2} - a^{5} b^{7} d^{3}\right)} x^{3} + 10 \, {\left(a^{3} b^{9} c^{3} - 3 \, a^{4} b^{8} c^{2} d + 3 \, a^{5} b^{7} c d^{2} - a^{6} b^{6} d^{3}\right)} x^{2} + 5 \, {\left(a^{4} b^{8} c^{3} - 3 \, a^{5} b^{7} c^{2} d + 3 \, a^{6} b^{6} c d^{2} - a^{7} b^{5} d^{3}\right)} x\right)}}\right]"," ",0,"[1/1280*(15*(b^5*d^5*x^5 + 5*a*b^4*d^5*x^4 + 10*a^2*b^3*d^5*x^3 + 10*a^3*b^2*d^5*x^2 + 5*a^4*b*d^5*x + a^5*d^5)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) - 2*(128*b^6*c^5 - 304*a*b^5*c^4*d + 184*a^2*b^4*c^3*d^2 + 2*a^3*b^3*c^2*d^3 + 5*a^4*b^2*c*d^4 - 15*a^5*b*d^5 - 15*(b^6*c*d^4 - a*b^5*d^5)*x^4 + 10*(b^6*c^2*d^3 - 8*a*b^5*c*d^4 + 7*a^2*b^4*d^5)*x^3 + 2*(124*b^6*c^3*d^2 - 357*a*b^5*c^2*d^3 + 297*a^2*b^4*c*d^4 - 64*a^3*b^3*d^5)*x^2 + 2*(168*b^6*c^4*d - 424*a*b^5*c^3*d^2 + 279*a^2*b^4*c^2*d^3 + 12*a^3*b^3*c*d^4 - 35*a^4*b^2*d^5)*x)*sqrt(d*x + c))/(a^5*b^7*c^3 - 3*a^6*b^6*c^2*d + 3*a^7*b^5*c*d^2 - a^8*b^4*d^3 + (b^12*c^3 - 3*a*b^11*c^2*d + 3*a^2*b^10*c*d^2 - a^3*b^9*d^3)*x^5 + 5*(a*b^11*c^3 - 3*a^2*b^10*c^2*d + 3*a^3*b^9*c*d^2 - a^4*b^8*d^3)*x^4 + 10*(a^2*b^10*c^3 - 3*a^3*b^9*c^2*d + 3*a^4*b^8*c*d^2 - a^5*b^7*d^3)*x^3 + 10*(a^3*b^9*c^3 - 3*a^4*b^8*c^2*d + 3*a^5*b^7*c*d^2 - a^6*b^6*d^3)*x^2 + 5*(a^4*b^8*c^3 - 3*a^5*b^7*c^2*d + 3*a^6*b^6*c*d^2 - a^7*b^5*d^3)*x), 1/640*(15*(b^5*d^5*x^5 + 5*a*b^4*d^5*x^4 + 10*a^2*b^3*d^5*x^3 + 10*a^3*b^2*d^5*x^2 + 5*a^4*b*d^5*x + a^5*d^5)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) - (128*b^6*c^5 - 304*a*b^5*c^4*d + 184*a^2*b^4*c^3*d^2 + 2*a^3*b^3*c^2*d^3 + 5*a^4*b^2*c*d^4 - 15*a^5*b*d^5 - 15*(b^6*c*d^4 - a*b^5*d^5)*x^4 + 10*(b^6*c^2*d^3 - 8*a*b^5*c*d^4 + 7*a^2*b^4*d^5)*x^3 + 2*(124*b^6*c^3*d^2 - 357*a*b^5*c^2*d^3 + 297*a^2*b^4*c*d^4 - 64*a^3*b^3*d^5)*x^2 + 2*(168*b^6*c^4*d - 424*a*b^5*c^3*d^2 + 279*a^2*b^4*c^2*d^3 + 12*a^3*b^3*c*d^4 - 35*a^4*b^2*d^5)*x)*sqrt(d*x + c))/(a^5*b^7*c^3 - 3*a^6*b^6*c^2*d + 3*a^7*b^5*c*d^2 - a^8*b^4*d^3 + (b^12*c^3 - 3*a*b^11*c^2*d + 3*a^2*b^10*c*d^2 - a^3*b^9*d^3)*x^5 + 5*(a*b^11*c^3 - 3*a^2*b^10*c^2*d + 3*a^3*b^9*c*d^2 - a^4*b^8*d^3)*x^4 + 10*(a^2*b^10*c^3 - 3*a^3*b^9*c^2*d + 3*a^4*b^8*c*d^2 - a^5*b^7*d^3)*x^3 + 10*(a^3*b^9*c^3 - 3*a^4*b^8*c^2*d + 3*a^5*b^7*c*d^2 - a^6*b^6*d^3)*x^2 + 5*(a^4*b^8*c^3 - 3*a^5*b^7*c^2*d + 3*a^6*b^6*c*d^2 - a^7*b^5*d^3)*x)]","B",0
1411,1,33,0,1.371536," ","integrate((-1+x)^(1/2)/(1+x)^2,x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{x - 1}\right) - 2 \, \sqrt{x - 1}}{2 \, {\left(x + 1\right)}}"," ",0,"1/2*(sqrt(2)*(x + 1)*arctan(1/2*sqrt(2)*sqrt(x - 1)) - 2*sqrt(x - 1))/(x + 1)","A",0
1412,1,46,0,1.121537," ","integrate((-1+x)^(1/2)/(1+x)^3,x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{2} + 2 \, x + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{x - 1}\right) + 2 \, \sqrt{x - 1} {\left(x - 3\right)}}{16 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"1/16*(sqrt(2)*(x^2 + 2*x + 1)*arctan(1/2*sqrt(2)*sqrt(x - 1)) + 2*sqrt(x - 1)*(x - 3))/(x^2 + 2*x + 1)","A",0
1413,1,261,0,1.263150," ","integrate((b*x+a)^5/(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(63 \, b^{5} d^{5} x^{5} - 256 \, b^{5} c^{5} + 1408 \, a b^{4} c^{4} d - 3168 \, a^{2} b^{3} c^{3} d^{2} + 3696 \, a^{3} b^{2} c^{2} d^{3} - 2310 \, a^{4} b c d^{4} + 693 \, a^{5} d^{5} - 35 \, {\left(2 \, b^{5} c d^{4} - 11 \, a b^{4} d^{5}\right)} x^{4} + 10 \, {\left(8 \, b^{5} c^{2} d^{3} - 44 \, a b^{4} c d^{4} + 99 \, a^{2} b^{3} d^{5}\right)} x^{3} - 6 \, {\left(16 \, b^{5} c^{3} d^{2} - 88 \, a b^{4} c^{2} d^{3} + 198 \, a^{2} b^{3} c d^{4} - 231 \, a^{3} b^{2} d^{5}\right)} x^{2} + {\left(128 \, b^{5} c^{4} d - 704 \, a b^{4} c^{3} d^{2} + 1584 \, a^{2} b^{3} c^{2} d^{3} - 1848 \, a^{3} b^{2} c d^{4} + 1155 \, a^{4} b d^{5}\right)} x\right)} \sqrt{d x + c}}{693 \, d^{6}}"," ",0,"2/693*(63*b^5*d^5*x^5 - 256*b^5*c^5 + 1408*a*b^4*c^4*d - 3168*a^2*b^3*c^3*d^2 + 3696*a^3*b^2*c^2*d^3 - 2310*a^4*b*c*d^4 + 693*a^5*d^5 - 35*(2*b^5*c*d^4 - 11*a*b^4*d^5)*x^4 + 10*(8*b^5*c^2*d^3 - 44*a*b^4*c*d^4 + 99*a^2*b^3*d^5)*x^3 - 6*(16*b^5*c^3*d^2 - 88*a*b^4*c^2*d^3 + 198*a^2*b^3*c*d^4 - 231*a^3*b^2*d^5)*x^2 + (128*b^5*c^4*d - 704*a*b^4*c^3*d^2 + 1584*a^2*b^3*c^2*d^3 - 1848*a^3*b^2*c*d^4 + 1155*a^4*b*d^5)*x)*sqrt(d*x + c)/d^6","A",0
1414,1,182,0,1.180081," ","integrate((b*x+a)^4/(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(35 \, b^{4} d^{4} x^{4} + 128 \, b^{4} c^{4} - 576 \, a b^{3} c^{3} d + 1008 \, a^{2} b^{2} c^{2} d^{2} - 840 \, a^{3} b c d^{3} + 315 \, a^{4} d^{4} - 20 \, {\left(2 \, b^{4} c d^{3} - 9 \, a b^{3} d^{4}\right)} x^{3} + 6 \, {\left(8 \, b^{4} c^{2} d^{2} - 36 \, a b^{3} c d^{3} + 63 \, a^{2} b^{2} d^{4}\right)} x^{2} - 4 \, {\left(16 \, b^{4} c^{3} d - 72 \, a b^{3} c^{2} d^{2} + 126 \, a^{2} b^{2} c d^{3} - 105 \, a^{3} b d^{4}\right)} x\right)} \sqrt{d x + c}}{315 \, d^{5}}"," ",0,"2/315*(35*b^4*d^4*x^4 + 128*b^4*c^4 - 576*a*b^3*c^3*d + 1008*a^2*b^2*c^2*d^2 - 840*a^3*b*c*d^3 + 315*a^4*d^4 - 20*(2*b^4*c*d^3 - 9*a*b^3*d^4)*x^3 + 6*(8*b^4*c^2*d^2 - 36*a*b^3*c*d^3 + 63*a^2*b^2*d^4)*x^2 - 4*(16*b^4*c^3*d - 72*a*b^3*c^2*d^2 + 126*a^2*b^2*c*d^3 - 105*a^3*b*d^4)*x)*sqrt(d*x + c)/d^5","A",0
1415,1,115,0,0.936387," ","integrate((b*x+a)^3/(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, b^{3} d^{3} x^{3} - 16 \, b^{3} c^{3} + 56 \, a b^{2} c^{2} d - 70 \, a^{2} b c d^{2} + 35 \, a^{3} d^{3} - 3 \, {\left(2 \, b^{3} c d^{2} - 7 \, a b^{2} d^{3}\right)} x^{2} + {\left(8 \, b^{3} c^{2} d - 28 \, a b^{2} c d^{2} + 35 \, a^{2} b d^{3}\right)} x\right)} \sqrt{d x + c}}{35 \, d^{4}}"," ",0,"2/35*(5*b^3*d^3*x^3 - 16*b^3*c^3 + 56*a*b^2*c^2*d - 70*a^2*b*c*d^2 + 35*a^3*d^3 - 3*(2*b^3*c*d^2 - 7*a*b^2*d^3)*x^2 + (8*b^3*c^2*d - 28*a*b^2*c*d^2 + 35*a^2*b*d^3)*x)*sqrt(d*x + c)/d^4","A",0
1416,1,64,0,1.461120," ","integrate((b*x+a)^2/(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} d^{2} x^{2} + 8 \, b^{2} c^{2} - 20 \, a b c d + 15 \, a^{2} d^{2} - 2 \, {\left(2 \, b^{2} c d - 5 \, a b d^{2}\right)} x\right)} \sqrt{d x + c}}{15 \, d^{3}}"," ",0,"2/15*(3*b^2*d^2*x^2 + 8*b^2*c^2 - 20*a*b*c*d + 15*a^2*d^2 - 2*(2*b^2*c*d - 5*a*b*d^2)*x)*sqrt(d*x + c)/d^3","A",0
1417,1,25,0,1.059720," ","integrate((b*x+a)/(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b d x - 2 \, b c + 3 \, a d\right)} \sqrt{d x + c}}{3 \, d^{2}}"," ",0,"2/3*(b*d*x - 2*b*c + 3*a*d)*sqrt(d*x + c)/d^2","A",0
1418,1,12,0,1.224135," ","integrate(1/(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{d x + c}}{d}"," ",0,"2*sqrt(d*x + c)/d","A",0
1419,1,119,0,1.203682," ","integrate(1/(b*x+a)/(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right)}{\sqrt{b^{2} c - a b d}}, \frac{2 \, \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right)}{b^{2} c - a b d}\right]"," ",0,"[log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a))/sqrt(b^2*c - a*b*d), 2*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c))/(b^2*c - a*b*d)]","A",0
1420,1,280,0,1.294075," ","integrate(1/(b*x+a)^2/(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{b^{2} c - a b d} {\left(b d x + a d\right)} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) + 2 \, {\left(b^{2} c - a b d\right)} \sqrt{d x + c}}{2 \, {\left(a b^{3} c^{2} - 2 \, a^{2} b^{2} c d + a^{3} b d^{2} + {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} x\right)}}, -\frac{\sqrt{-b^{2} c + a b d} {\left(b d x + a d\right)} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) + {\left(b^{2} c - a b d\right)} \sqrt{d x + c}}{a b^{3} c^{2} - 2 \, a^{2} b^{2} c d + a^{3} b d^{2} + {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} x}\right]"," ",0,"[-1/2*(sqrt(b^2*c - a*b*d)*(b*d*x + a*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) + 2*(b^2*c - a*b*d)*sqrt(d*x + c))/(a*b^3*c^2 - 2*a^2*b^2*c*d + a^3*b*d^2 + (b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*x), -(sqrt(-b^2*c + a*b*d)*(b*d*x + a*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) + (b^2*c - a*b*d)*sqrt(d*x + c))/(a*b^3*c^2 - 2*a^2*b^2*c*d + a^3*b*d^2 + (b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*x)]","B",0
1421,1,549,0,1.574120," ","integrate(1/(b*x+a)^3/(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2}\right)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) - 2 \, {\left(2 \, b^{3} c^{2} - 7 \, a b^{2} c d + 5 \, a^{2} b d^{2} - 3 \, {\left(b^{3} c d - a b^{2} d^{2}\right)} x\right)} \sqrt{d x + c}}{8 \, {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{3} c^{2} d + 3 \, a^{4} b^{2} c d^{2} - a^{5} b d^{3} + {\left(b^{6} c^{3} - 3 \, a b^{5} c^{2} d + 3 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} x^{2} + 2 \, {\left(a b^{5} c^{3} - 3 \, a^{2} b^{4} c^{2} d + 3 \, a^{3} b^{3} c d^{2} - a^{4} b^{2} d^{3}\right)} x\right)}}, \frac{3 \, {\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} x + a^{2} d^{2}\right)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) - {\left(2 \, b^{3} c^{2} - 7 \, a b^{2} c d + 5 \, a^{2} b d^{2} - 3 \, {\left(b^{3} c d - a b^{2} d^{2}\right)} x\right)} \sqrt{d x + c}}{4 \, {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{3} c^{2} d + 3 \, a^{4} b^{2} c d^{2} - a^{5} b d^{3} + {\left(b^{6} c^{3} - 3 \, a b^{5} c^{2} d + 3 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} x^{2} + 2 \, {\left(a b^{5} c^{3} - 3 \, a^{2} b^{4} c^{2} d + 3 \, a^{3} b^{3} c d^{2} - a^{4} b^{2} d^{3}\right)} x\right)}}\right]"," ",0,"[1/8*(3*(b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) - 2*(2*b^3*c^2 - 7*a*b^2*c*d + 5*a^2*b*d^2 - 3*(b^3*c*d - a*b^2*d^2)*x)*sqrt(d*x + c))/(a^2*b^4*c^3 - 3*a^3*b^3*c^2*d + 3*a^4*b^2*c*d^2 - a^5*b*d^3 + (b^6*c^3 - 3*a*b^5*c^2*d + 3*a^2*b^4*c*d^2 - a^3*b^3*d^3)*x^2 + 2*(a*b^5*c^3 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 - a^4*b^2*d^3)*x), 1/4*(3*(b^2*d^2*x^2 + 2*a*b*d^2*x + a^2*d^2)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) - (2*b^3*c^2 - 7*a*b^2*c*d + 5*a^2*b*d^2 - 3*(b^3*c*d - a*b^2*d^2)*x)*sqrt(d*x + c))/(a^2*b^4*c^3 - 3*a^3*b^3*c^2*d + 3*a^4*b^2*c*d^2 - a^5*b*d^3 + (b^6*c^3 - 3*a*b^5*c^2*d + 3*a^2*b^4*c*d^2 - a^3*b^3*d^3)*x^2 + 2*(a*b^5*c^3 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 - a^4*b^2*d^3)*x)]","B",0
1422,1,884,0,1.383025," ","integrate(1/(b*x+a)^4/(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\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)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) + 2 \, {\left(8 \, b^{4} c^{3} - 34 \, a b^{3} c^{2} d + 59 \, a^{2} b^{2} c d^{2} - 33 \, a^{3} b d^{3} + 15 \, {\left(b^{4} c d^{2} - a b^{3} d^{3}\right)} x^{2} - 10 \, {\left(b^{4} c^{2} d - 5 \, a b^{3} c d^{2} + 4 \, a^{2} b^{2} d^{3}\right)} x\right)} \sqrt{d x + c}}{48 \, {\left(a^{3} b^{5} c^{4} - 4 \, a^{4} b^{4} c^{3} d + 6 \, a^{5} b^{3} c^{2} d^{2} - 4 \, a^{6} b^{2} c d^{3} + a^{7} b d^{4} + {\left(b^{8} c^{4} - 4 \, a b^{7} c^{3} d + 6 \, a^{2} b^{6} c^{2} d^{2} - 4 \, a^{3} b^{5} c d^{3} + a^{4} b^{4} d^{4}\right)} x^{3} + 3 \, {\left(a b^{7} c^{4} - 4 \, a^{2} b^{6} c^{3} d + 6 \, a^{3} b^{5} c^{2} d^{2} - 4 \, a^{4} b^{4} c d^{3} + a^{5} b^{3} d^{4}\right)} x^{2} + 3 \, {\left(a^{2} b^{6} c^{4} - 4 \, a^{3} b^{5} c^{3} d + 6 \, a^{4} b^{4} c^{2} d^{2} - 4 \, a^{5} b^{3} c d^{3} + a^{6} b^{2} d^{4}\right)} x\right)}}, -\frac{15 \, {\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)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) + {\left(8 \, b^{4} c^{3} - 34 \, a b^{3} c^{2} d + 59 \, a^{2} b^{2} c d^{2} - 33 \, a^{3} b d^{3} + 15 \, {\left(b^{4} c d^{2} - a b^{3} d^{3}\right)} x^{2} - 10 \, {\left(b^{4} c^{2} d - 5 \, a b^{3} c d^{2} + 4 \, a^{2} b^{2} d^{3}\right)} x\right)} \sqrt{d x + c}}{24 \, {\left(a^{3} b^{5} c^{4} - 4 \, a^{4} b^{4} c^{3} d + 6 \, a^{5} b^{3} c^{2} d^{2} - 4 \, a^{6} b^{2} c d^{3} + a^{7} b d^{4} + {\left(b^{8} c^{4} - 4 \, a b^{7} c^{3} d + 6 \, a^{2} b^{6} c^{2} d^{2} - 4 \, a^{3} b^{5} c d^{3} + a^{4} b^{4} d^{4}\right)} x^{3} + 3 \, {\left(a b^{7} c^{4} - 4 \, a^{2} b^{6} c^{3} d + 6 \, a^{3} b^{5} c^{2} d^{2} - 4 \, a^{4} b^{4} c d^{3} + a^{5} b^{3} d^{4}\right)} x^{2} + 3 \, {\left(a^{2} b^{6} c^{4} - 4 \, a^{3} b^{5} c^{3} d + 6 \, a^{4} b^{4} c^{2} d^{2} - 4 \, a^{5} b^{3} c d^{3} + a^{6} b^{2} d^{4}\right)} x\right)}}\right]"," ",0,"[-1/48*(15*(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)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) + 2*(8*b^4*c^3 - 34*a*b^3*c^2*d + 59*a^2*b^2*c*d^2 - 33*a^3*b*d^3 + 15*(b^4*c*d^2 - a*b^3*d^3)*x^2 - 10*(b^4*c^2*d - 5*a*b^3*c*d^2 + 4*a^2*b^2*d^3)*x)*sqrt(d*x + c))/(a^3*b^5*c^4 - 4*a^4*b^4*c^3*d + 6*a^5*b^3*c^2*d^2 - 4*a^6*b^2*c*d^3 + a^7*b*d^4 + (b^8*c^4 - 4*a*b^7*c^3*d + 6*a^2*b^6*c^2*d^2 - 4*a^3*b^5*c*d^3 + a^4*b^4*d^4)*x^3 + 3*(a*b^7*c^4 - 4*a^2*b^6*c^3*d + 6*a^3*b^5*c^2*d^2 - 4*a^4*b^4*c*d^3 + a^5*b^3*d^4)*x^2 + 3*(a^2*b^6*c^4 - 4*a^3*b^5*c^3*d + 6*a^4*b^4*c^2*d^2 - 4*a^5*b^3*c*d^3 + a^6*b^2*d^4)*x), -1/24*(15*(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)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) + (8*b^4*c^3 - 34*a*b^3*c^2*d + 59*a^2*b^2*c*d^2 - 33*a^3*b*d^3 + 15*(b^4*c*d^2 - a*b^3*d^3)*x^2 - 10*(b^4*c^2*d - 5*a*b^3*c*d^2 + 4*a^2*b^2*d^3)*x)*sqrt(d*x + c))/(a^3*b^5*c^4 - 4*a^4*b^4*c^3*d + 6*a^5*b^3*c^2*d^2 - 4*a^6*b^2*c*d^3 + a^7*b*d^4 + (b^8*c^4 - 4*a*b^7*c^3*d + 6*a^2*b^6*c^2*d^2 - 4*a^3*b^5*c*d^3 + a^4*b^4*d^4)*x^3 + 3*(a*b^7*c^4 - 4*a^2*b^6*c^3*d + 6*a^3*b^5*c^2*d^2 - 4*a^4*b^4*c*d^3 + a^5*b^3*d^4)*x^2 + 3*(a^2*b^6*c^4 - 4*a^3*b^5*c^3*d + 6*a^4*b^4*c^2*d^2 - 4*a^5*b^3*c*d^3 + a^6*b^2*d^4)*x)]","B",0
1423,1,1325,0,1.170722," ","integrate(1/(b*x+a)^5/(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{4} d^{4} x^{4} + 4 \, a b^{3} d^{4} x^{3} + 6 \, a^{2} b^{2} d^{4} x^{2} + 4 \, a^{3} b d^{4} x + a^{4} d^{4}\right)} \sqrt{b^{2} c - a b d} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, \sqrt{b^{2} c - a b d} \sqrt{d x + c}}{b x + a}\right) - 2 \, {\left(48 \, b^{5} c^{4} - 248 \, a b^{4} c^{3} d + 526 \, a^{2} b^{3} c^{2} d^{2} - 605 \, a^{3} b^{2} c d^{3} + 279 \, a^{4} b d^{4} - 105 \, {\left(b^{5} c d^{3} - a b^{4} d^{4}\right)} x^{3} + 35 \, {\left(2 \, b^{5} c^{2} d^{2} - 13 \, a b^{4} c d^{3} + 11 \, a^{2} b^{3} d^{4}\right)} x^{2} - 7 \, {\left(8 \, b^{5} c^{3} d - 44 \, a b^{4} c^{2} d^{2} + 109 \, a^{2} b^{3} c d^{3} - 73 \, a^{3} b^{2} d^{4}\right)} x\right)} \sqrt{d x + c}}{384 \, {\left(a^{4} b^{6} c^{5} - 5 \, a^{5} b^{5} c^{4} d + 10 \, a^{6} b^{4} c^{3} d^{2} - 10 \, a^{7} b^{3} c^{2} d^{3} + 5 \, a^{8} b^{2} c d^{4} - a^{9} b d^{5} + {\left(b^{10} c^{5} - 5 \, a b^{9} c^{4} d + 10 \, a^{2} b^{8} c^{3} d^{2} - 10 \, a^{3} b^{7} c^{2} d^{3} + 5 \, a^{4} b^{6} c d^{4} - a^{5} b^{5} d^{5}\right)} x^{4} + 4 \, {\left(a b^{9} c^{5} - 5 \, a^{2} b^{8} c^{4} d + 10 \, a^{3} b^{7} c^{3} d^{2} - 10 \, a^{4} b^{6} c^{2} d^{3} + 5 \, a^{5} b^{5} c d^{4} - a^{6} b^{4} d^{5}\right)} x^{3} + 6 \, {\left(a^{2} b^{8} c^{5} - 5 \, a^{3} b^{7} c^{4} d + 10 \, a^{4} b^{6} c^{3} d^{2} - 10 \, a^{5} b^{5} c^{2} d^{3} + 5 \, a^{6} b^{4} c d^{4} - a^{7} b^{3} d^{5}\right)} x^{2} + 4 \, {\left(a^{3} b^{7} c^{5} - 5 \, a^{4} b^{6} c^{4} d + 10 \, a^{5} b^{5} c^{3} d^{2} - 10 \, a^{6} b^{4} c^{2} d^{3} + 5 \, a^{7} b^{3} c d^{4} - a^{8} b^{2} d^{5}\right)} x\right)}}, \frac{105 \, {\left(b^{4} d^{4} x^{4} + 4 \, a b^{3} d^{4} x^{3} + 6 \, a^{2} b^{2} d^{4} x^{2} + 4 \, a^{3} b d^{4} x + a^{4} d^{4}\right)} \sqrt{-b^{2} c + a b d} \arctan\left(\frac{\sqrt{-b^{2} c + a b d} \sqrt{d x + c}}{b d x + b c}\right) - {\left(48 \, b^{5} c^{4} - 248 \, a b^{4} c^{3} d + 526 \, a^{2} b^{3} c^{2} d^{2} - 605 \, a^{3} b^{2} c d^{3} + 279 \, a^{4} b d^{4} - 105 \, {\left(b^{5} c d^{3} - a b^{4} d^{4}\right)} x^{3} + 35 \, {\left(2 \, b^{5} c^{2} d^{2} - 13 \, a b^{4} c d^{3} + 11 \, a^{2} b^{3} d^{4}\right)} x^{2} - 7 \, {\left(8 \, b^{5} c^{3} d - 44 \, a b^{4} c^{2} d^{2} + 109 \, a^{2} b^{3} c d^{3} - 73 \, a^{3} b^{2} d^{4}\right)} x\right)} \sqrt{d x + c}}{192 \, {\left(a^{4} b^{6} c^{5} - 5 \, a^{5} b^{5} c^{4} d + 10 \, a^{6} b^{4} c^{3} d^{2} - 10 \, a^{7} b^{3} c^{2} d^{3} + 5 \, a^{8} b^{2} c d^{4} - a^{9} b d^{5} + {\left(b^{10} c^{5} - 5 \, a b^{9} c^{4} d + 10 \, a^{2} b^{8} c^{3} d^{2} - 10 \, a^{3} b^{7} c^{2} d^{3} + 5 \, a^{4} b^{6} c d^{4} - a^{5} b^{5} d^{5}\right)} x^{4} + 4 \, {\left(a b^{9} c^{5} - 5 \, a^{2} b^{8} c^{4} d + 10 \, a^{3} b^{7} c^{3} d^{2} - 10 \, a^{4} b^{6} c^{2} d^{3} + 5 \, a^{5} b^{5} c d^{4} - a^{6} b^{4} d^{5}\right)} x^{3} + 6 \, {\left(a^{2} b^{8} c^{5} - 5 \, a^{3} b^{7} c^{4} d + 10 \, a^{4} b^{6} c^{3} d^{2} - 10 \, a^{5} b^{5} c^{2} d^{3} + 5 \, a^{6} b^{4} c d^{4} - a^{7} b^{3} d^{5}\right)} x^{2} + 4 \, {\left(a^{3} b^{7} c^{5} - 5 \, a^{4} b^{6} c^{4} d + 10 \, a^{5} b^{5} c^{3} d^{2} - 10 \, a^{6} b^{4} c^{2} d^{3} + 5 \, a^{7} b^{3} c d^{4} - a^{8} b^{2} d^{5}\right)} x\right)}}\right]"," ",0,"[1/384*(105*(b^4*d^4*x^4 + 4*a*b^3*d^4*x^3 + 6*a^2*b^2*d^4*x^2 + 4*a^3*b*d^4*x + a^4*d^4)*sqrt(b^2*c - a*b*d)*log((b*d*x + 2*b*c - a*d - 2*sqrt(b^2*c - a*b*d)*sqrt(d*x + c))/(b*x + a)) - 2*(48*b^5*c^4 - 248*a*b^4*c^3*d + 526*a^2*b^3*c^2*d^2 - 605*a^3*b^2*c*d^3 + 279*a^4*b*d^4 - 105*(b^5*c*d^3 - a*b^4*d^4)*x^3 + 35*(2*b^5*c^2*d^2 - 13*a*b^4*c*d^3 + 11*a^2*b^3*d^4)*x^2 - 7*(8*b^5*c^3*d - 44*a*b^4*c^2*d^2 + 109*a^2*b^3*c*d^3 - 73*a^3*b^2*d^4)*x)*sqrt(d*x + c))/(a^4*b^6*c^5 - 5*a^5*b^5*c^4*d + 10*a^6*b^4*c^3*d^2 - 10*a^7*b^3*c^2*d^3 + 5*a^8*b^2*c*d^4 - a^9*b*d^5 + (b^10*c^5 - 5*a*b^9*c^4*d + 10*a^2*b^8*c^3*d^2 - 10*a^3*b^7*c^2*d^3 + 5*a^4*b^6*c*d^4 - a^5*b^5*d^5)*x^4 + 4*(a*b^9*c^5 - 5*a^2*b^8*c^4*d + 10*a^3*b^7*c^3*d^2 - 10*a^4*b^6*c^2*d^3 + 5*a^5*b^5*c*d^4 - a^6*b^4*d^5)*x^3 + 6*(a^2*b^8*c^5 - 5*a^3*b^7*c^4*d + 10*a^4*b^6*c^3*d^2 - 10*a^5*b^5*c^2*d^3 + 5*a^6*b^4*c*d^4 - a^7*b^3*d^5)*x^2 + 4*(a^3*b^7*c^5 - 5*a^4*b^6*c^4*d + 10*a^5*b^5*c^3*d^2 - 10*a^6*b^4*c^2*d^3 + 5*a^7*b^3*c*d^4 - a^8*b^2*d^5)*x), 1/192*(105*(b^4*d^4*x^4 + 4*a*b^3*d^4*x^3 + 6*a^2*b^2*d^4*x^2 + 4*a^3*b*d^4*x + a^4*d^4)*sqrt(-b^2*c + a*b*d)*arctan(sqrt(-b^2*c + a*b*d)*sqrt(d*x + c)/(b*d*x + b*c)) - (48*b^5*c^4 - 248*a*b^4*c^3*d + 526*a^2*b^3*c^2*d^2 - 605*a^3*b^2*c*d^3 + 279*a^4*b*d^4 - 105*(b^5*c*d^3 - a*b^4*d^4)*x^3 + 35*(2*b^5*c^2*d^2 - 13*a*b^4*c*d^3 + 11*a^2*b^3*d^4)*x^2 - 7*(8*b^5*c^3*d - 44*a*b^4*c^2*d^2 + 109*a^2*b^3*c*d^3 - 73*a^3*b^2*d^4)*x)*sqrt(d*x + c))/(a^4*b^6*c^5 - 5*a^5*b^5*c^4*d + 10*a^6*b^4*c^3*d^2 - 10*a^7*b^3*c^2*d^3 + 5*a^8*b^2*c*d^4 - a^9*b*d^5 + (b^10*c^5 - 5*a*b^9*c^4*d + 10*a^2*b^8*c^3*d^2 - 10*a^3*b^7*c^2*d^3 + 5*a^4*b^6*c*d^4 - a^5*b^5*d^5)*x^4 + 4*(a*b^9*c^5 - 5*a^2*b^8*c^4*d + 10*a^3*b^7*c^3*d^2 - 10*a^4*b^6*c^2*d^3 + 5*a^5*b^5*c*d^4 - a^6*b^4*d^5)*x^3 + 6*(a^2*b^8*c^5 - 5*a^3*b^7*c^4*d + 10*a^4*b^6*c^3*d^2 - 10*a^5*b^5*c^2*d^3 + 5*a^6*b^4*c*d^4 - a^7*b^3*d^5)*x^2 + 4*(a^3*b^7*c^5 - 5*a^4*b^6*c^4*d + 10*a^5*b^5*c^3*d^2 - 10*a^6*b^4*c^2*d^3 + 5*a^7*b^3*c*d^4 - a^8*b^2*d^5)*x)]","B",0
1424,1,271,0,1.091867," ","integrate((b*x+a)^5/(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(7 \, b^{5} d^{5} x^{5} + 256 \, b^{5} c^{5} - 1152 \, a b^{4} c^{4} d + 2016 \, a^{2} b^{3} c^{3} d^{2} - 1680 \, a^{3} b^{2} c^{2} d^{3} + 630 \, a^{4} b c d^{4} - 63 \, a^{5} d^{5} - 5 \, {\left(2 \, b^{5} c d^{4} - 9 \, a b^{4} d^{5}\right)} x^{4} + 2 \, {\left(8 \, b^{5} c^{2} d^{3} - 36 \, a b^{4} c d^{4} + 63 \, a^{2} b^{3} d^{5}\right)} x^{3} - 2 \, {\left(16 \, b^{5} c^{3} d^{2} - 72 \, a b^{4} c^{2} d^{3} + 126 \, a^{2} b^{3} c d^{4} - 105 \, a^{3} b^{2} d^{5}\right)} x^{2} + {\left(128 \, b^{5} c^{4} d - 576 \, a b^{4} c^{3} d^{2} + 1008 \, a^{2} b^{3} c^{2} d^{3} - 840 \, a^{3} b^{2} c d^{4} + 315 \, a^{4} b d^{5}\right)} x\right)} \sqrt{d x + c}}{63 \, {\left(d^{7} x + c d^{6}\right)}}"," ",0,"2/63*(7*b^5*d^5*x^5 + 256*b^5*c^5 - 1152*a*b^4*c^4*d + 2016*a^2*b^3*c^3*d^2 - 1680*a^3*b^2*c^2*d^3 + 630*a^4*b*c*d^4 - 63*a^5*d^5 - 5*(2*b^5*c*d^4 - 9*a*b^4*d^5)*x^4 + 2*(8*b^5*c^2*d^3 - 36*a*b^4*c*d^4 + 63*a^2*b^3*d^5)*x^3 - 2*(16*b^5*c^3*d^2 - 72*a*b^4*c^2*d^3 + 126*a^2*b^3*c*d^4 - 105*a^3*b^2*d^5)*x^2 + (128*b^5*c^4*d - 576*a*b^4*c^3*d^2 + 1008*a^2*b^3*c^2*d^3 - 840*a^3*b^2*c*d^4 + 315*a^4*b*d^5)*x)*sqrt(d*x + c)/(d^7*x + c*d^6)","B",0
1425,1,192,0,1.544373," ","integrate((b*x+a)^4/(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, b^{4} d^{4} x^{4} - 128 \, b^{4} c^{4} + 448 \, a b^{3} c^{3} d - 560 \, a^{2} b^{2} c^{2} d^{2} + 280 \, a^{3} b c d^{3} - 35 \, a^{4} d^{4} - 4 \, {\left(2 \, b^{4} c d^{3} - 7 \, a b^{3} d^{4}\right)} x^{3} + 2 \, {\left(8 \, b^{4} c^{2} d^{2} - 28 \, a b^{3} c d^{3} + 35 \, a^{2} b^{2} d^{4}\right)} x^{2} - 4 \, {\left(16 \, b^{4} c^{3} d - 56 \, a b^{3} c^{2} d^{2} + 70 \, a^{2} b^{2} c d^{3} - 35 \, a^{3} b d^{4}\right)} x\right)} \sqrt{d x + c}}{35 \, {\left(d^{6} x + c d^{5}\right)}}"," ",0,"2/35*(5*b^4*d^4*x^4 - 128*b^4*c^4 + 448*a*b^3*c^3*d - 560*a^2*b^2*c^2*d^2 + 280*a^3*b*c*d^3 - 35*a^4*d^4 - 4*(2*b^4*c*d^3 - 7*a*b^3*d^4)*x^3 + 2*(8*b^4*c^2*d^2 - 28*a*b^3*c*d^3 + 35*a^2*b^2*d^4)*x^2 - 4*(16*b^4*c^3*d - 56*a*b^3*c^2*d^2 + 70*a^2*b^2*c*d^3 - 35*a^3*b*d^4)*x)*sqrt(d*x + c)/(d^6*x + c*d^5)","A",0
1426,1,124,0,1.261000," ","integrate((b*x+a)^3/(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{3} d^{3} x^{3} + 16 \, b^{3} c^{3} - 40 \, a b^{2} c^{2} d + 30 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3} - {\left(2 \, b^{3} c d^{2} - 5 \, a b^{2} d^{3}\right)} x^{2} + {\left(8 \, b^{3} c^{2} d - 20 \, a b^{2} c d^{2} + 15 \, a^{2} b d^{3}\right)} x\right)} \sqrt{d x + c}}{5 \, {\left(d^{5} x + c d^{4}\right)}}"," ",0,"2/5*(b^3*d^3*x^3 + 16*b^3*c^3 - 40*a*b^2*c^2*d + 30*a^2*b*c*d^2 - 5*a^3*d^3 - (2*b^3*c*d^2 - 5*a*b^2*d^3)*x^2 + (8*b^3*c^2*d - 20*a*b^2*c*d^2 + 15*a^2*b*d^3)*x)*sqrt(d*x + c)/(d^5*x + c*d^4)","A",0
1427,1,73,0,1.134484," ","integrate((b*x+a)^2/(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} d^{2} x^{2} - 8 \, b^{2} c^{2} + 12 \, a b c d - 3 \, a^{2} d^{2} - 2 \, {\left(2 \, b^{2} c d - 3 \, a b d^{2}\right)} x\right)} \sqrt{d x + c}}{3 \, {\left(d^{4} x + c d^{3}\right)}}"," ",0,"2/3*(b^2*d^2*x^2 - 8*b^2*c^2 + 12*a*b*c*d - 3*a^2*d^2 - 2*(2*b^2*c*d - 3*a*b*d^2)*x)*sqrt(d*x + c)/(d^4*x + c*d^3)","A",0
1428,1,35,0,1.129099," ","integrate((b*x+a)/(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b d x + 2 \, b c - a d\right)} \sqrt{d x + c}}{d^{3} x + c d^{2}}"," ",0,"2*(b*d*x + 2*b*c - a*d)*sqrt(d*x + c)/(d^3*x + c*d^2)","A",0
1429,1,20,0,1.205163," ","integrate(1/(d*x+c)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{d x + c}}{d^{2} x + c d}"," ",0,"-2*sqrt(d*x + c)/(d^2*x + c*d)","A",0
1430,1,214,0,1.427953," ","integrate(1/(b*x+a)/(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[-\frac{{\left(d x + c\right)} \sqrt{\frac{b}{b c - a d}} \log\left(\frac{b d x + 2 \, b c - a d + 2 \, {\left(b c - a d\right)} \sqrt{d x + c} \sqrt{\frac{b}{b c - a d}}}{b x + a}\right) - 2 \, \sqrt{d x + c}}{b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x}, -\frac{2 \, {\left({\left(d x + c\right)} \sqrt{-\frac{b}{b c - a d}} \arctan\left(-\frac{{\left(b c - a d\right)} \sqrt{d x + c} \sqrt{-\frac{b}{b c - a d}}}{b d x + b c}\right) - \sqrt{d x + c}\right)}}{b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x}\right]"," ",0,"[-((d*x + c)*sqrt(b/(b*c - a*d))*log((b*d*x + 2*b*c - a*d + 2*(b*c - a*d)*sqrt(d*x + c)*sqrt(b/(b*c - a*d)))/(b*x + a)) - 2*sqrt(d*x + c))/(b*c^2 - a*c*d + (b*c*d - a*d^2)*x), -2*((d*x + c)*sqrt(-b/(b*c - a*d))*arctan(-(b*c - a*d)*sqrt(d*x + c)*sqrt(-b/(b*c - a*d))/(b*d*x + b*c)) - sqrt(d*x + c))/(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)]","A",0
1431,1,423,0,1.317782," ","integrate(1/(b*x+a)^2/(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b d^{2} x^{2} + a c d + {\left(b c d + a d^{2}\right)} x\right)} \sqrt{\frac{b}{b c - a d}} \log\left(\frac{b d x + 2 \, b c - a d + 2 \, {\left(b c - a d\right)} \sqrt{d x + c} \sqrt{\frac{b}{b c - a d}}}{b x + a}\right) - 2 \, {\left(3 \, b d x + b c + 2 \, a d\right)} \sqrt{d x + c}}{2 \, {\left(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\right)}}, \frac{3 \, {\left(b d^{2} x^{2} + a c d + {\left(b c d + a d^{2}\right)} x\right)} \sqrt{-\frac{b}{b c - a d}} \arctan\left(-\frac{{\left(b c - a d\right)} \sqrt{d x + c} \sqrt{-\frac{b}{b c - a d}}}{b d x + b c}\right) - {\left(3 \, b d x + b c + 2 \, a d\right)} \sqrt{d x + c}}{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}\right]"," ",0,"[1/2*(3*(b*d^2*x^2 + a*c*d + (b*c*d + a*d^2)*x)*sqrt(b/(b*c - a*d))*log((b*d*x + 2*b*c - a*d + 2*(b*c - a*d)*sqrt(d*x + c)*sqrt(b/(b*c - a*d)))/(b*x + a)) - 2*(3*b*d*x + b*c + 2*a*d)*sqrt(d*x + c))/(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), (3*(b*d^2*x^2 + a*c*d + (b*c*d + a*d^2)*x)*sqrt(-b/(b*c - a*d))*arctan(-(b*c - a*d)*sqrt(d*x + c)*sqrt(-b/(b*c - a*d))/(b*d*x + b*c)) - (3*b*d*x + b*c + 2*a*d)*sqrt(d*x + c))/(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
1432,1,782,0,1.278491," ","integrate(1/(b*x+a)^3/(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(b^{2} d^{3} x^{3} + a^{2} c d^{2} + {\left(b^{2} c d^{2} + 2 \, a b d^{3}\right)} x^{2} + {\left(2 \, a b c d^{2} + a^{2} d^{3}\right)} x\right)} \sqrt{\frac{b}{b c - a d}} \log\left(\frac{b d x + 2 \, b c - a d + 2 \, {\left(b c - a d\right)} \sqrt{d x + c} \sqrt{\frac{b}{b c - a d}}}{b x + a}\right) - 2 \, {\left(15 \, b^{2} d^{2} x^{2} - 2 \, b^{2} c^{2} + 9 \, a b c d + 8 \, a^{2} d^{2} + 5 \, {\left(b^{2} c d + 5 \, a b d^{2}\right)} x\right)} \sqrt{d x + c}}{8 \, {\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)}}, -\frac{15 \, {\left(b^{2} d^{3} x^{3} + a^{2} c d^{2} + {\left(b^{2} c d^{2} + 2 \, a b d^{3}\right)} x^{2} + {\left(2 \, a b c d^{2} + a^{2} d^{3}\right)} x\right)} \sqrt{-\frac{b}{b c - a d}} \arctan\left(-\frac{{\left(b c - a d\right)} \sqrt{d x + c} \sqrt{-\frac{b}{b c - a d}}}{b d x + b c}\right) - {\left(15 \, b^{2} d^{2} x^{2} - 2 \, b^{2} c^{2} + 9 \, a b c d + 8 \, a^{2} d^{2} + 5 \, {\left(b^{2} c d + 5 \, a b d^{2}\right)} x\right)} \sqrt{d x + c}}{4 \, {\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)}}\right]"," ",0,"[-1/8*(15*(b^2*d^3*x^3 + a^2*c*d^2 + (b^2*c*d^2 + 2*a*b*d^3)*x^2 + (2*a*b*c*d^2 + a^2*d^3)*x)*sqrt(b/(b*c - a*d))*log((b*d*x + 2*b*c - a*d + 2*(b*c - a*d)*sqrt(d*x + c)*sqrt(b/(b*c - a*d)))/(b*x + a)) - 2*(15*b^2*d^2*x^2 - 2*b^2*c^2 + 9*a*b*c*d + 8*a^2*d^2 + 5*(b^2*c*d + 5*a*b*d^2)*x)*sqrt(d*x + c))/(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), -1/4*(15*(b^2*d^3*x^3 + a^2*c*d^2 + (b^2*c*d^2 + 2*a*b*d^3)*x^2 + (2*a*b*c*d^2 + a^2*d^3)*x)*sqrt(-b/(b*c - a*d))*arctan(-(b*c - a*d)*sqrt(d*x + c)*sqrt(-b/(b*c - a*d))/(b*d*x + b*c)) - (15*b^2*d^2*x^2 - 2*b^2*c^2 + 9*a*b*c*d + 8*a^2*d^2 + 5*(b^2*c*d + 5*a*b*d^2)*x)*sqrt(d*x + c))/(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
1433,1,1204,0,1.530572," ","integrate(1/(b*x+a)^4/(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{3} d^{4} x^{4} + a^{3} c d^{3} + {\left(b^{3} c d^{3} + 3 \, a b^{2} d^{4}\right)} x^{3} + 3 \, {\left(a b^{2} c d^{3} + a^{2} b d^{4}\right)} x^{2} + {\left(3 \, a^{2} b c d^{3} + a^{3} d^{4}\right)} x\right)} \sqrt{\frac{b}{b c - a d}} \log\left(\frac{b d x + 2 \, b c - a d + 2 \, {\left(b c - a d\right)} \sqrt{d x + c} \sqrt{\frac{b}{b c - a d}}}{b x + a}\right) - 2 \, {\left(105 \, b^{3} d^{3} x^{3} + 8 \, b^{3} c^{3} - 38 \, a b^{2} c^{2} d + 87 \, a^{2} b c d^{2} + 48 \, a^{3} d^{3} + 35 \, {\left(b^{3} c d^{2} + 8 \, a b^{2} d^{3}\right)} x^{2} - 7 \, {\left(2 \, b^{3} c^{2} d - 14 \, a b^{2} c d^{2} - 33 \, a^{2} b d^{3}\right)} x\right)} \sqrt{d x + c}}{48 \, {\left(a^{3} b^{4} c^{5} - 4 \, a^{4} b^{3} c^{4} d + 6 \, a^{5} b^{2} c^{3} d^{2} - 4 \, a^{6} b c^{2} d^{3} + a^{7} c d^{4} + {\left(b^{7} c^{4} d - 4 \, a b^{6} c^{3} d^{2} + 6 \, a^{2} b^{5} c^{2} d^{3} - 4 \, a^{3} b^{4} c d^{4} + a^{4} b^{3} d^{5}\right)} x^{4} + {\left(b^{7} c^{5} - a b^{6} c^{4} d - 6 \, a^{2} b^{5} c^{3} d^{2} + 14 \, a^{3} b^{4} c^{2} d^{3} - 11 \, a^{4} b^{3} c d^{4} + 3 \, a^{5} b^{2} d^{5}\right)} x^{3} + 3 \, {\left(a b^{6} c^{5} - 3 \, a^{2} b^{5} c^{4} d + 2 \, a^{3} b^{4} c^{3} d^{2} + 2 \, a^{4} b^{3} c^{2} d^{3} - 3 \, a^{5} b^{2} c d^{4} + a^{6} b d^{5}\right)} x^{2} + {\left(3 \, a^{2} b^{5} c^{5} - 11 \, a^{3} b^{4} c^{4} d + 14 \, a^{4} b^{3} c^{3} d^{2} - 6 \, a^{5} b^{2} c^{2} d^{3} - a^{6} b c d^{4} + a^{7} d^{5}\right)} x\right)}}, \frac{105 \, {\left(b^{3} d^{4} x^{4} + a^{3} c d^{3} + {\left(b^{3} c d^{3} + 3 \, a b^{2} d^{4}\right)} x^{3} + 3 \, {\left(a b^{2} c d^{3} + a^{2} b d^{4}\right)} x^{2} + {\left(3 \, a^{2} b c d^{3} + a^{3} d^{4}\right)} x\right)} \sqrt{-\frac{b}{b c - a d}} \arctan\left(-\frac{{\left(b c - a d\right)} \sqrt{d x + c} \sqrt{-\frac{b}{b c - a d}}}{b d x + b c}\right) - {\left(105 \, b^{3} d^{3} x^{3} + 8 \, b^{3} c^{3} - 38 \, a b^{2} c^{2} d + 87 \, a^{2} b c d^{2} + 48 \, a^{3} d^{3} + 35 \, {\left(b^{3} c d^{2} + 8 \, a b^{2} d^{3}\right)} x^{2} - 7 \, {\left(2 \, b^{3} c^{2} d - 14 \, a b^{2} c d^{2} - 33 \, a^{2} b d^{3}\right)} x\right)} \sqrt{d x + c}}{24 \, {\left(a^{3} b^{4} c^{5} - 4 \, a^{4} b^{3} c^{4} d + 6 \, a^{5} b^{2} c^{3} d^{2} - 4 \, a^{6} b c^{2} d^{3} + a^{7} c d^{4} + {\left(b^{7} c^{4} d - 4 \, a b^{6} c^{3} d^{2} + 6 \, a^{2} b^{5} c^{2} d^{3} - 4 \, a^{3} b^{4} c d^{4} + a^{4} b^{3} d^{5}\right)} x^{4} + {\left(b^{7} c^{5} - a b^{6} c^{4} d - 6 \, a^{2} b^{5} c^{3} d^{2} + 14 \, a^{3} b^{4} c^{2} d^{3} - 11 \, a^{4} b^{3} c d^{4} + 3 \, a^{5} b^{2} d^{5}\right)} x^{3} + 3 \, {\left(a b^{6} c^{5} - 3 \, a^{2} b^{5} c^{4} d + 2 \, a^{3} b^{4} c^{3} d^{2} + 2 \, a^{4} b^{3} c^{2} d^{3} - 3 \, a^{5} b^{2} c d^{4} + a^{6} b d^{5}\right)} x^{2} + {\left(3 \, a^{2} b^{5} c^{5} - 11 \, a^{3} b^{4} c^{4} d + 14 \, a^{4} b^{3} c^{3} d^{2} - 6 \, a^{5} b^{2} c^{2} d^{3} - a^{6} b c d^{4} + a^{7} d^{5}\right)} x\right)}}\right]"," ",0,"[1/48*(105*(b^3*d^4*x^4 + a^3*c*d^3 + (b^3*c*d^3 + 3*a*b^2*d^4)*x^3 + 3*(a*b^2*c*d^3 + a^2*b*d^4)*x^2 + (3*a^2*b*c*d^3 + a^3*d^4)*x)*sqrt(b/(b*c - a*d))*log((b*d*x + 2*b*c - a*d + 2*(b*c - a*d)*sqrt(d*x + c)*sqrt(b/(b*c - a*d)))/(b*x + a)) - 2*(105*b^3*d^3*x^3 + 8*b^3*c^3 - 38*a*b^2*c^2*d + 87*a^2*b*c*d^2 + 48*a^3*d^3 + 35*(b^3*c*d^2 + 8*a*b^2*d^3)*x^2 - 7*(2*b^3*c^2*d - 14*a*b^2*c*d^2 - 33*a^2*b*d^3)*x)*sqrt(d*x + c))/(a^3*b^4*c^5 - 4*a^4*b^3*c^4*d + 6*a^5*b^2*c^3*d^2 - 4*a^6*b*c^2*d^3 + a^7*c*d^4 + (b^7*c^4*d - 4*a*b^6*c^3*d^2 + 6*a^2*b^5*c^2*d^3 - 4*a^3*b^4*c*d^4 + a^4*b^3*d^5)*x^4 + (b^7*c^5 - a*b^6*c^4*d - 6*a^2*b^5*c^3*d^2 + 14*a^3*b^4*c^2*d^3 - 11*a^4*b^3*c*d^4 + 3*a^5*b^2*d^5)*x^3 + 3*(a*b^6*c^5 - 3*a^2*b^5*c^4*d + 2*a^3*b^4*c^3*d^2 + 2*a^4*b^3*c^2*d^3 - 3*a^5*b^2*c*d^4 + a^6*b*d^5)*x^2 + (3*a^2*b^5*c^5 - 11*a^3*b^4*c^4*d + 14*a^4*b^3*c^3*d^2 - 6*a^5*b^2*c^2*d^3 - a^6*b*c*d^4 + a^7*d^5)*x), 1/24*(105*(b^3*d^4*x^4 + a^3*c*d^3 + (b^3*c*d^3 + 3*a*b^2*d^4)*x^3 + 3*(a*b^2*c*d^3 + a^2*b*d^4)*x^2 + (3*a^2*b*c*d^3 + a^3*d^4)*x)*sqrt(-b/(b*c - a*d))*arctan(-(b*c - a*d)*sqrt(d*x + c)*sqrt(-b/(b*c - a*d))/(b*d*x + b*c)) - (105*b^3*d^3*x^3 + 8*b^3*c^3 - 38*a*b^2*c^2*d + 87*a^2*b*c*d^2 + 48*a^3*d^3 + 35*(b^3*c*d^2 + 8*a*b^2*d^3)*x^2 - 7*(2*b^3*c^2*d - 14*a*b^2*c*d^2 - 33*a^2*b*d^3)*x)*sqrt(d*x + c))/(a^3*b^4*c^5 - 4*a^4*b^3*c^4*d + 6*a^5*b^2*c^3*d^2 - 4*a^6*b*c^2*d^3 + a^7*c*d^4 + (b^7*c^4*d - 4*a*b^6*c^3*d^2 + 6*a^2*b^5*c^2*d^3 - 4*a^3*b^4*c*d^4 + a^4*b^3*d^5)*x^4 + (b^7*c^5 - a*b^6*c^4*d - 6*a^2*b^5*c^3*d^2 + 14*a^3*b^4*c^2*d^3 - 11*a^4*b^3*c*d^4 + 3*a^5*b^2*d^5)*x^3 + 3*(a*b^6*c^5 - 3*a^2*b^5*c^4*d + 2*a^3*b^4*c^3*d^2 + 2*a^4*b^3*c^2*d^3 - 3*a^5*b^2*c*d^4 + a^6*b*d^5)*x^2 + (3*a^2*b^5*c^5 - 11*a^3*b^4*c^4*d + 14*a^4*b^3*c^3*d^2 - 6*a^5*b^2*c^2*d^3 - a^6*b*c*d^4 + a^7*d^5)*x)]","B",0
1434,1,283,0,1.357200," ","integrate((b*x+a)^5/(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{5} d^{5} x^{5} - 256 \, b^{5} c^{5} + 896 \, a b^{4} c^{4} d - 1120 \, a^{2} b^{3} c^{3} d^{2} + 560 \, a^{3} b^{2} c^{2} d^{3} - 70 \, a^{4} b c d^{4} - 7 \, a^{5} d^{5} - 3 \, {\left(2 \, b^{5} c d^{4} - 7 \, a b^{4} d^{5}\right)} x^{4} + 2 \, {\left(8 \, b^{5} c^{2} d^{3} - 28 \, a b^{4} c d^{4} + 35 \, a^{2} b^{3} d^{5}\right)} x^{3} - 6 \, {\left(16 \, b^{5} c^{3} d^{2} - 56 \, a b^{4} c^{2} d^{3} + 70 \, a^{2} b^{3} c d^{4} - 35 \, a^{3} b^{2} d^{5}\right)} x^{2} - 3 \, {\left(128 \, b^{5} c^{4} d - 448 \, a b^{4} c^{3} d^{2} + 560 \, a^{2} b^{3} c^{2} d^{3} - 280 \, a^{3} b^{2} c d^{4} + 35 \, a^{4} b d^{5}\right)} x\right)} \sqrt{d x + c}}{21 \, {\left(d^{8} x^{2} + 2 \, c d^{7} x + c^{2} d^{6}\right)}}"," ",0,"2/21*(3*b^5*d^5*x^5 - 256*b^5*c^5 + 896*a*b^4*c^4*d - 1120*a^2*b^3*c^3*d^2 + 560*a^3*b^2*c^2*d^3 - 70*a^4*b*c*d^4 - 7*a^5*d^5 - 3*(2*b^5*c*d^4 - 7*a*b^4*d^5)*x^4 + 2*(8*b^5*c^2*d^3 - 28*a*b^4*c*d^4 + 35*a^2*b^3*d^5)*x^3 - 6*(16*b^5*c^3*d^2 - 56*a*b^4*c^2*d^3 + 70*a^2*b^3*c*d^4 - 35*a^3*b^2*d^5)*x^2 - 3*(128*b^5*c^4*d - 448*a*b^4*c^3*d^2 + 560*a^2*b^3*c^2*d^3 - 280*a^3*b^2*c*d^4 + 35*a^4*b*d^5)*x)*sqrt(d*x + c)/(d^8*x^2 + 2*c*d^7*x + c^2*d^6)","B",0
1435,1,203,0,1.129674," ","integrate((b*x+a)^4/(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{4} d^{4} x^{4} + 128 \, b^{4} c^{4} - 320 \, a b^{3} c^{3} d + 240 \, a^{2} b^{2} c^{2} d^{2} - 40 \, a^{3} b c d^{3} - 5 \, a^{4} d^{4} - 4 \, {\left(2 \, b^{4} c d^{3} - 5 \, a b^{3} d^{4}\right)} x^{3} + 6 \, {\left(8 \, b^{4} c^{2} d^{2} - 20 \, a b^{3} c d^{3} + 15 \, a^{2} b^{2} d^{4}\right)} x^{2} + 12 \, {\left(16 \, b^{4} c^{3} d - 40 \, a b^{3} c^{2} d^{2} + 30 \, a^{2} b^{2} c d^{3} - 5 \, a^{3} b d^{4}\right)} x\right)} \sqrt{d x + c}}{15 \, {\left(d^{7} x^{2} + 2 \, c d^{6} x + c^{2} d^{5}\right)}}"," ",0,"2/15*(3*b^4*d^4*x^4 + 128*b^4*c^4 - 320*a*b^3*c^3*d + 240*a^2*b^2*c^2*d^2 - 40*a^3*b*c*d^3 - 5*a^4*d^4 - 4*(2*b^4*c*d^3 - 5*a*b^3*d^4)*x^3 + 6*(8*b^4*c^2*d^2 - 20*a*b^3*c*d^3 + 15*a^2*b^2*d^4)*x^2 + 12*(16*b^4*c^3*d - 40*a*b^3*c^2*d^2 + 30*a^2*b^2*c*d^3 - 5*a^3*b*d^4)*x)*sqrt(d*x + c)/(d^7*x^2 + 2*c*d^6*x + c^2*d^5)","A",0
1436,1,136,0,1.183175," ","integrate((b*x+a)^3/(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{3} d^{3} x^{3} - 16 \, b^{3} c^{3} + 24 \, a b^{2} c^{2} d - 6 \, a^{2} b c d^{2} - a^{3} d^{3} - 3 \, {\left(2 \, b^{3} c d^{2} - 3 \, a b^{2} d^{3}\right)} x^{2} - 3 \, {\left(8 \, b^{3} c^{2} d - 12 \, a b^{2} c d^{2} + 3 \, a^{2} b d^{3}\right)} x\right)} \sqrt{d x + c}}{3 \, {\left(d^{6} x^{2} + 2 \, c d^{5} x + c^{2} d^{4}\right)}}"," ",0,"2/3*(b^3*d^3*x^3 - 16*b^3*c^3 + 24*a*b^2*c^2*d - 6*a^2*b*c*d^2 - a^3*d^3 - 3*(2*b^3*c*d^2 - 3*a*b^2*d^3)*x^2 - 3*(8*b^3*c^2*d - 12*a*b^2*c*d^2 + 3*a^2*b*d^3)*x)*sqrt(d*x + c)/(d^6*x^2 + 2*c*d^5*x + c^2*d^4)","A",0
1437,1,85,0,1.241825," ","integrate((b*x+a)^2/(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} d^{2} x^{2} + 8 \, b^{2} c^{2} - 4 \, a b c d - a^{2} d^{2} + 6 \, {\left(2 \, b^{2} c d - a b d^{2}\right)} x\right)} \sqrt{d x + c}}{3 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"2/3*(3*b^2*d^2*x^2 + 8*b^2*c^2 - 4*a*b*c*d - a^2*d^2 + 6*(2*b^2*c*d - a*b*d^2)*x)*sqrt(d*x + c)/(d^5*x^2 + 2*c*d^4*x + c^2*d^3)","A",0
1438,1,46,0,1.113136," ","integrate((b*x+a)/(d*x+c)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, b d x + 2 \, b c + a d\right)} \sqrt{d x + c}}{3 \, {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)}}"," ",0,"-2/3*(3*b*d*x + 2*b*c + a*d)*sqrt(d*x + c)/(d^4*x^2 + 2*c*d^3*x + c^2*d^2)","A",0
1439,1,31,0,1.319368," ","integrate(1/(d*x+c)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{d x + c}}{3 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}}"," ",0,"-2/3*sqrt(d*x + c)/(d^3*x^2 + 2*c*d^2*x + c^2*d)","B",0
1440,1,398,0,1.440055," ","integrate(1/(b*x+a)/(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \sqrt{\frac{b}{b c - a d}} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, {\left(b c - a d\right)} \sqrt{d x + c} \sqrt{\frac{b}{b c - a d}}}{b x + a}\right) + 2 \, {\left(3 \, b d x + 4 \, b c - a d\right)} \sqrt{d x + c}}{3 \, {\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)}}, -\frac{2 \, {\left(3 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \sqrt{-\frac{b}{b c - a d}} \arctan\left(-\frac{{\left(b c - a d\right)} \sqrt{d x + c} \sqrt{-\frac{b}{b c - a d}}}{b d x + b c}\right) - {\left(3 \, b d x + 4 \, b c - a d\right)} \sqrt{d x + c}\right)}}{3 \, {\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)}}\right]"," ",0,"[1/3*(3*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*sqrt(b/(b*c - a*d))*log((b*d*x + 2*b*c - a*d - 2*(b*c - a*d)*sqrt(d*x + c)*sqrt(b/(b*c - a*d)))/(b*x + a)) + 2*(3*b*d*x + 4*b*c - a*d)*sqrt(d*x + c))/(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), -2/3*(3*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*sqrt(-b/(b*c - a*d))*arctan(-(b*c - a*d)*sqrt(d*x + c)*sqrt(-b/(b*c - a*d))/(b*d*x + b*c)) - (3*b*d*x + 4*b*c - a*d)*sqrt(d*x + c))/(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
1441,1,782,0,1.424079," ","integrate(1/(b*x+a)^2/(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(b^{2} d^{3} x^{3} + a b c^{2} d + {\left(2 \, b^{2} c d^{2} + a b d^{3}\right)} x^{2} + {\left(b^{2} c^{2} d + 2 \, a b c d^{2}\right)} x\right)} \sqrt{\frac{b}{b c - a d}} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, {\left(b c - a d\right)} \sqrt{d x + c} \sqrt{\frac{b}{b c - a d}}}{b x + a}\right) + 2 \, {\left(15 \, b^{2} d^{2} x^{2} + 3 \, b^{2} c^{2} + 14 \, a b c d - 2 \, a^{2} d^{2} + 10 \, {\left(2 \, b^{2} c d + a b d^{2}\right)} x\right)} \sqrt{d x + c}}{6 \, {\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)}}, \frac{15 \, {\left(b^{2} d^{3} x^{3} + a b c^{2} d + {\left(2 \, b^{2} c d^{2} + a b d^{3}\right)} x^{2} + {\left(b^{2} c^{2} d + 2 \, a b c d^{2}\right)} x\right)} \sqrt{-\frac{b}{b c - a d}} \arctan\left(-\frac{{\left(b c - a d\right)} \sqrt{d x + c} \sqrt{-\frac{b}{b c - a d}}}{b d x + b c}\right) - {\left(15 \, b^{2} d^{2} x^{2} + 3 \, b^{2} c^{2} + 14 \, a b c d - 2 \, a^{2} d^{2} + 10 \, {\left(2 \, b^{2} c d + a b d^{2}\right)} x\right)} \sqrt{d x + c}}{3 \, {\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)}}\right]"," ",0,"[-1/6*(15*(b^2*d^3*x^3 + a*b*c^2*d + (2*b^2*c*d^2 + a*b*d^3)*x^2 + (b^2*c^2*d + 2*a*b*c*d^2)*x)*sqrt(b/(b*c - a*d))*log((b*d*x + 2*b*c - a*d - 2*(b*c - a*d)*sqrt(d*x + c)*sqrt(b/(b*c - a*d)))/(b*x + a)) + 2*(15*b^2*d^2*x^2 + 3*b^2*c^2 + 14*a*b*c*d - 2*a^2*d^2 + 10*(2*b^2*c*d + a*b*d^2)*x)*sqrt(d*x + c))/(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), 1/3*(15*(b^2*d^3*x^3 + a*b*c^2*d + (2*b^2*c*d^2 + a*b*d^3)*x^2 + (b^2*c^2*d + 2*a*b*c*d^2)*x)*sqrt(-b/(b*c - a*d))*arctan(-(b*c - a*d)*sqrt(d*x + c)*sqrt(-b/(b*c - a*d))/(b*d*x + b*c)) - (15*b^2*d^2*x^2 + 3*b^2*c^2 + 14*a*b*c*d - 2*a^2*d^2 + 10*(2*b^2*c*d + a*b*d^2)*x)*sqrt(d*x + c))/(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
1442,1,1226,0,1.361365," ","integrate(1/(b*x+a)^3/(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{3} d^{4} x^{4} + a^{2} b c^{2} d^{2} + 2 \, {\left(b^{3} c d^{3} + a b^{2} d^{4}\right)} x^{3} + {\left(b^{3} c^{2} d^{2} + 4 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} x^{2} + 2 \, {\left(a b^{2} c^{2} d^{2} + a^{2} b c d^{3}\right)} x\right)} \sqrt{\frac{b}{b c - a d}} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, {\left(b c - a d\right)} \sqrt{d x + c} \sqrt{\frac{b}{b c - a d}}}{b x + a}\right) + 2 \, {\left(105 \, b^{3} d^{3} x^{3} - 6 \, b^{3} c^{3} + 39 \, a b^{2} c^{2} d + 80 \, a^{2} b c d^{2} - 8 \, a^{3} d^{3} + 35 \, {\left(4 \, b^{3} c d^{2} + 5 \, a b^{2} d^{3}\right)} x^{2} + 7 \, {\left(3 \, b^{3} c^{2} d + 34 \, a b^{2} c d^{2} + 8 \, a^{2} b d^{3}\right)} x\right)} \sqrt{d x + c}}{24 \, {\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)}}, -\frac{105 \, {\left(b^{3} d^{4} x^{4} + a^{2} b c^{2} d^{2} + 2 \, {\left(b^{3} c d^{3} + a b^{2} d^{4}\right)} x^{3} + {\left(b^{3} c^{2} d^{2} + 4 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} x^{2} + 2 \, {\left(a b^{2} c^{2} d^{2} + a^{2} b c d^{3}\right)} x\right)} \sqrt{-\frac{b}{b c - a d}} \arctan\left(-\frac{{\left(b c - a d\right)} \sqrt{d x + c} \sqrt{-\frac{b}{b c - a d}}}{b d x + b c}\right) - {\left(105 \, b^{3} d^{3} x^{3} - 6 \, b^{3} c^{3} + 39 \, a b^{2} c^{2} d + 80 \, a^{2} b c d^{2} - 8 \, a^{3} d^{3} + 35 \, {\left(4 \, b^{3} c d^{2} + 5 \, a b^{2} d^{3}\right)} x^{2} + 7 \, {\left(3 \, b^{3} c^{2} d + 34 \, a b^{2} c d^{2} + 8 \, a^{2} b d^{3}\right)} x\right)} \sqrt{d x + c}}{12 \, {\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)}}\right]"," ",0,"[1/24*(105*(b^3*d^4*x^4 + a^2*b*c^2*d^2 + 2*(b^3*c*d^3 + a*b^2*d^4)*x^3 + (b^3*c^2*d^2 + 4*a*b^2*c*d^3 + a^2*b*d^4)*x^2 + 2*(a*b^2*c^2*d^2 + a^2*b*c*d^3)*x)*sqrt(b/(b*c - a*d))*log((b*d*x + 2*b*c - a*d - 2*(b*c - a*d)*sqrt(d*x + c)*sqrt(b/(b*c - a*d)))/(b*x + a)) + 2*(105*b^3*d^3*x^3 - 6*b^3*c^3 + 39*a*b^2*c^2*d + 80*a^2*b*c*d^2 - 8*a^3*d^3 + 35*(4*b^3*c*d^2 + 5*a*b^2*d^3)*x^2 + 7*(3*b^3*c^2*d + 34*a*b^2*c*d^2 + 8*a^2*b*d^3)*x)*sqrt(d*x + c))/(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), -1/12*(105*(b^3*d^4*x^4 + a^2*b*c^2*d^2 + 2*(b^3*c*d^3 + a*b^2*d^4)*x^3 + (b^3*c^2*d^2 + 4*a*b^2*c*d^3 + a^2*b*d^4)*x^2 + 2*(a*b^2*c^2*d^2 + a^2*b*c*d^3)*x)*sqrt(-b/(b*c - a*d))*arctan(-(b*c - a*d)*sqrt(d*x + c)*sqrt(-b/(b*c - a*d))/(b*d*x + b*c)) - (105*b^3*d^3*x^3 - 6*b^3*c^3 + 39*a*b^2*c^2*d + 80*a^2*b*c*d^2 - 8*a^3*d^3 + 35*(4*b^3*c*d^2 + 5*a*b^2*d^3)*x^2 + 7*(3*b^3*c^2*d + 34*a*b^2*c*d^2 + 8*a^2*b*d^3)*x)*sqrt(d*x + c))/(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
1443,1,1840,0,1.433520," ","integrate(1/(b*x+a)^4/(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[-\frac{315 \, {\left(b^{4} d^{5} x^{5} + a^{3} b c^{2} d^{3} + {\left(2 \, b^{4} c d^{4} + 3 \, a b^{3} d^{5}\right)} x^{4} + {\left(b^{4} c^{2} d^{3} + 6 \, a b^{3} c d^{4} + 3 \, a^{2} b^{2} d^{5}\right)} x^{3} + {\left(3 \, a b^{3} c^{2} d^{3} + 6 \, a^{2} b^{2} c d^{4} + a^{3} b d^{5}\right)} x^{2} + {\left(3 \, a^{2} b^{2} c^{2} d^{3} + 2 \, a^{3} b c d^{4}\right)} x\right)} \sqrt{\frac{b}{b c - a d}} \log\left(\frac{b d x + 2 \, b c - a d - 2 \, {\left(b c - a d\right)} \sqrt{d x + c} \sqrt{\frac{b}{b c - a d}}}{b x + a}\right) + 2 \, {\left(315 \, b^{4} d^{4} x^{4} + 8 \, b^{4} c^{4} - 50 \, a b^{3} c^{3} d + 165 \, a^{2} b^{2} c^{2} d^{2} + 208 \, a^{3} b c d^{3} - 16 \, a^{4} d^{4} + 420 \, {\left(b^{4} c d^{3} + 2 \, a b^{3} d^{4}\right)} x^{3} + 63 \, {\left(b^{4} c^{2} d^{2} + 18 \, a b^{3} c d^{3} + 11 \, a^{2} b^{2} d^{4}\right)} x^{2} - 18 \, {\left(b^{4} c^{3} d - 10 \, a b^{3} c^{2} d^{2} - 53 \, a^{2} b^{2} c d^{3} - 8 \, a^{3} b d^{4}\right)} x\right)} \sqrt{d x + c}}{48 \, {\left(a^{3} b^{5} c^{7} - 5 \, a^{4} b^{4} c^{6} d + 10 \, a^{5} b^{3} c^{5} d^{2} - 10 \, a^{6} b^{2} c^{4} d^{3} + 5 \, a^{7} b c^{3} d^{4} - a^{8} c^{2} d^{5} + {\left(b^{8} c^{5} d^{2} - 5 \, a b^{7} c^{4} d^{3} + 10 \, a^{2} b^{6} c^{3} d^{4} - 10 \, a^{3} b^{5} c^{2} d^{5} + 5 \, a^{4} b^{4} c d^{6} - a^{5} b^{3} d^{7}\right)} x^{5} + {\left(2 \, b^{8} c^{6} d - 7 \, a b^{7} c^{5} d^{2} + 5 \, a^{2} b^{6} c^{4} d^{3} + 10 \, a^{3} b^{5} c^{3} d^{4} - 20 \, a^{4} b^{4} c^{2} d^{5} + 13 \, a^{5} b^{3} c d^{6} - 3 \, a^{6} b^{2} d^{7}\right)} x^{4} + {\left(b^{8} c^{7} + a b^{7} c^{6} d - 17 \, a^{2} b^{6} c^{5} d^{2} + 35 \, a^{3} b^{5} c^{4} d^{3} - 25 \, a^{4} b^{4} c^{3} d^{4} - a^{5} b^{3} c^{2} d^{5} + 9 \, a^{6} b^{2} c d^{6} - 3 \, a^{7} b d^{7}\right)} x^{3} + {\left(3 \, a b^{7} c^{7} - 9 \, a^{2} b^{6} c^{6} d + a^{3} b^{5} c^{5} d^{2} + 25 \, a^{4} b^{4} c^{4} d^{3} - 35 \, a^{5} b^{3} c^{3} d^{4} + 17 \, a^{6} b^{2} c^{2} d^{5} - a^{7} b c d^{6} - a^{8} d^{7}\right)} x^{2} + {\left(3 \, a^{2} b^{6} c^{7} - 13 \, a^{3} b^{5} c^{6} d + 20 \, a^{4} b^{4} c^{5} d^{2} - 10 \, a^{5} b^{3} c^{4} d^{3} - 5 \, a^{6} b^{2} c^{3} d^{4} + 7 \, a^{7} b c^{2} d^{5} - 2 \, a^{8} c d^{6}\right)} x\right)}}, \frac{315 \, {\left(b^{4} d^{5} x^{5} + a^{3} b c^{2} d^{3} + {\left(2 \, b^{4} c d^{4} + 3 \, a b^{3} d^{5}\right)} x^{4} + {\left(b^{4} c^{2} d^{3} + 6 \, a b^{3} c d^{4} + 3 \, a^{2} b^{2} d^{5}\right)} x^{3} + {\left(3 \, a b^{3} c^{2} d^{3} + 6 \, a^{2} b^{2} c d^{4} + a^{3} b d^{5}\right)} x^{2} + {\left(3 \, a^{2} b^{2} c^{2} d^{3} + 2 \, a^{3} b c d^{4}\right)} x\right)} \sqrt{-\frac{b}{b c - a d}} \arctan\left(-\frac{{\left(b c - a d\right)} \sqrt{d x + c} \sqrt{-\frac{b}{b c - a d}}}{b d x + b c}\right) - {\left(315 \, b^{4} d^{4} x^{4} + 8 \, b^{4} c^{4} - 50 \, a b^{3} c^{3} d + 165 \, a^{2} b^{2} c^{2} d^{2} + 208 \, a^{3} b c d^{3} - 16 \, a^{4} d^{4} + 420 \, {\left(b^{4} c d^{3} + 2 \, a b^{3} d^{4}\right)} x^{3} + 63 \, {\left(b^{4} c^{2} d^{2} + 18 \, a b^{3} c d^{3} + 11 \, a^{2} b^{2} d^{4}\right)} x^{2} - 18 \, {\left(b^{4} c^{3} d - 10 \, a b^{3} c^{2} d^{2} - 53 \, a^{2} b^{2} c d^{3} - 8 \, a^{3} b d^{4}\right)} x\right)} \sqrt{d x + c}}{24 \, {\left(a^{3} b^{5} c^{7} - 5 \, a^{4} b^{4} c^{6} d + 10 \, a^{5} b^{3} c^{5} d^{2} - 10 \, a^{6} b^{2} c^{4} d^{3} + 5 \, a^{7} b c^{3} d^{4} - a^{8} c^{2} d^{5} + {\left(b^{8} c^{5} d^{2} - 5 \, a b^{7} c^{4} d^{3} + 10 \, a^{2} b^{6} c^{3} d^{4} - 10 \, a^{3} b^{5} c^{2} d^{5} + 5 \, a^{4} b^{4} c d^{6} - a^{5} b^{3} d^{7}\right)} x^{5} + {\left(2 \, b^{8} c^{6} d - 7 \, a b^{7} c^{5} d^{2} + 5 \, a^{2} b^{6} c^{4} d^{3} + 10 \, a^{3} b^{5} c^{3} d^{4} - 20 \, a^{4} b^{4} c^{2} d^{5} + 13 \, a^{5} b^{3} c d^{6} - 3 \, a^{6} b^{2} d^{7}\right)} x^{4} + {\left(b^{8} c^{7} + a b^{7} c^{6} d - 17 \, a^{2} b^{6} c^{5} d^{2} + 35 \, a^{3} b^{5} c^{4} d^{3} - 25 \, a^{4} b^{4} c^{3} d^{4} - a^{5} b^{3} c^{2} d^{5} + 9 \, a^{6} b^{2} c d^{6} - 3 \, a^{7} b d^{7}\right)} x^{3} + {\left(3 \, a b^{7} c^{7} - 9 \, a^{2} b^{6} c^{6} d + a^{3} b^{5} c^{5} d^{2} + 25 \, a^{4} b^{4} c^{4} d^{3} - 35 \, a^{5} b^{3} c^{3} d^{4} + 17 \, a^{6} b^{2} c^{2} d^{5} - a^{7} b c d^{6} - a^{8} d^{7}\right)} x^{2} + {\left(3 \, a^{2} b^{6} c^{7} - 13 \, a^{3} b^{5} c^{6} d + 20 \, a^{4} b^{4} c^{5} d^{2} - 10 \, a^{5} b^{3} c^{4} d^{3} - 5 \, a^{6} b^{2} c^{3} d^{4} + 7 \, a^{7} b c^{2} d^{5} - 2 \, a^{8} c d^{6}\right)} x\right)}}\right]"," ",0,"[-1/48*(315*(b^4*d^5*x^5 + a^3*b*c^2*d^3 + (2*b^4*c*d^4 + 3*a*b^3*d^5)*x^4 + (b^4*c^2*d^3 + 6*a*b^3*c*d^4 + 3*a^2*b^2*d^5)*x^3 + (3*a*b^3*c^2*d^3 + 6*a^2*b^2*c*d^4 + a^3*b*d^5)*x^2 + (3*a^2*b^2*c^2*d^3 + 2*a^3*b*c*d^4)*x)*sqrt(b/(b*c - a*d))*log((b*d*x + 2*b*c - a*d - 2*(b*c - a*d)*sqrt(d*x + c)*sqrt(b/(b*c - a*d)))/(b*x + a)) + 2*(315*b^4*d^4*x^4 + 8*b^4*c^4 - 50*a*b^3*c^3*d + 165*a^2*b^2*c^2*d^2 + 208*a^3*b*c*d^3 - 16*a^4*d^4 + 420*(b^4*c*d^3 + 2*a*b^3*d^4)*x^3 + 63*(b^4*c^2*d^2 + 18*a*b^3*c*d^3 + 11*a^2*b^2*d^4)*x^2 - 18*(b^4*c^3*d - 10*a*b^3*c^2*d^2 - 53*a^2*b^2*c*d^3 - 8*a^3*b*d^4)*x)*sqrt(d*x + c))/(a^3*b^5*c^7 - 5*a^4*b^4*c^6*d + 10*a^5*b^3*c^5*d^2 - 10*a^6*b^2*c^4*d^3 + 5*a^7*b*c^3*d^4 - a^8*c^2*d^5 + (b^8*c^5*d^2 - 5*a*b^7*c^4*d^3 + 10*a^2*b^6*c^3*d^4 - 10*a^3*b^5*c^2*d^5 + 5*a^4*b^4*c*d^6 - a^5*b^3*d^7)*x^5 + (2*b^8*c^6*d - 7*a*b^7*c^5*d^2 + 5*a^2*b^6*c^4*d^3 + 10*a^3*b^5*c^3*d^4 - 20*a^4*b^4*c^2*d^5 + 13*a^5*b^3*c*d^6 - 3*a^6*b^2*d^7)*x^4 + (b^8*c^7 + a*b^7*c^6*d - 17*a^2*b^6*c^5*d^2 + 35*a^3*b^5*c^4*d^3 - 25*a^4*b^4*c^3*d^4 - a^5*b^3*c^2*d^5 + 9*a^6*b^2*c*d^6 - 3*a^7*b*d^7)*x^3 + (3*a*b^7*c^7 - 9*a^2*b^6*c^6*d + a^3*b^5*c^5*d^2 + 25*a^4*b^4*c^4*d^3 - 35*a^5*b^3*c^3*d^4 + 17*a^6*b^2*c^2*d^5 - a^7*b*c*d^6 - a^8*d^7)*x^2 + (3*a^2*b^6*c^7 - 13*a^3*b^5*c^6*d + 20*a^4*b^4*c^5*d^2 - 10*a^5*b^3*c^4*d^3 - 5*a^6*b^2*c^3*d^4 + 7*a^7*b*c^2*d^5 - 2*a^8*c*d^6)*x), 1/24*(315*(b^4*d^5*x^5 + a^3*b*c^2*d^3 + (2*b^4*c*d^4 + 3*a*b^3*d^5)*x^4 + (b^4*c^2*d^3 + 6*a*b^3*c*d^4 + 3*a^2*b^2*d^5)*x^3 + (3*a*b^3*c^2*d^3 + 6*a^2*b^2*c*d^4 + a^3*b*d^5)*x^2 + (3*a^2*b^2*c^2*d^3 + 2*a^3*b*c*d^4)*x)*sqrt(-b/(b*c - a*d))*arctan(-(b*c - a*d)*sqrt(d*x + c)*sqrt(-b/(b*c - a*d))/(b*d*x + b*c)) - (315*b^4*d^4*x^4 + 8*b^4*c^4 - 50*a*b^3*c^3*d + 165*a^2*b^2*c^2*d^2 + 208*a^3*b*c*d^3 - 16*a^4*d^4 + 420*(b^4*c*d^3 + 2*a*b^3*d^4)*x^3 + 63*(b^4*c^2*d^2 + 18*a*b^3*c*d^3 + 11*a^2*b^2*d^4)*x^2 - 18*(b^4*c^3*d - 10*a*b^3*c^2*d^2 - 53*a^2*b^2*c*d^3 - 8*a^3*b*d^4)*x)*sqrt(d*x + c))/(a^3*b^5*c^7 - 5*a^4*b^4*c^6*d + 10*a^5*b^3*c^5*d^2 - 10*a^6*b^2*c^4*d^3 + 5*a^7*b*c^3*d^4 - a^8*c^2*d^5 + (b^8*c^5*d^2 - 5*a*b^7*c^4*d^3 + 10*a^2*b^6*c^3*d^4 - 10*a^3*b^5*c^2*d^5 + 5*a^4*b^4*c*d^6 - a^5*b^3*d^7)*x^5 + (2*b^8*c^6*d - 7*a*b^7*c^5*d^2 + 5*a^2*b^6*c^4*d^3 + 10*a^3*b^5*c^3*d^4 - 20*a^4*b^4*c^2*d^5 + 13*a^5*b^3*c*d^6 - 3*a^6*b^2*d^7)*x^4 + (b^8*c^7 + a*b^7*c^6*d - 17*a^2*b^6*c^5*d^2 + 35*a^3*b^5*c^4*d^3 - 25*a^4*b^4*c^3*d^4 - a^5*b^3*c^2*d^5 + 9*a^6*b^2*c*d^6 - 3*a^7*b*d^7)*x^3 + (3*a*b^7*c^7 - 9*a^2*b^6*c^6*d + a^3*b^5*c^5*d^2 + 25*a^4*b^4*c^4*d^3 - 35*a^5*b^3*c^3*d^4 + 17*a^6*b^2*c^2*d^5 - a^7*b*c*d^6 - a^8*d^7)*x^2 + (3*a^2*b^6*c^7 - 13*a^3*b^5*c^6*d + 20*a^4*b^4*c^5*d^2 - 10*a^5*b^3*c^4*d^3 - 5*a^6*b^2*c^3*d^4 + 7*a^7*b*c^2*d^5 - 2*a^8*c*d^6)*x)]","B",0
1444,1,95,0,1.135890," ","integrate((b*x+a)^5*(b*c*x+a*c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{7} c x^{7} + 7 \, a b^{6} c x^{6} + 21 \, a^{2} b^{5} c x^{5} + 35 \, a^{3} b^{4} c x^{4} + 35 \, a^{4} b^{3} c x^{3} + 21 \, a^{5} b^{2} c x^{2} + 7 \, a^{6} b c x + a^{7} c\right)} \sqrt{b c x + a c}}{15 \, b}"," ",0,"2/15*(b^7*c*x^7 + 7*a*b^6*c*x^6 + 21*a^2*b^5*c*x^5 + 35*a^3*b^4*c*x^4 + 35*a^4*b^3*c*x^3 + 21*a^5*b^2*c*x^2 + 7*a^6*b*c*x + a^7*c)*sqrt(b*c*x + a*c)/b","B",0
1445,1,75,0,1.159234," ","integrate((b*x+a)^5*(b*c*x+a*c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{6} x^{6} + 6 \, a b^{5} x^{5} + 15 \, a^{2} b^{4} x^{4} + 20 \, a^{3} b^{3} x^{3} + 15 \, a^{4} b^{2} x^{2} + 6 \, a^{5} b x + a^{6}\right)} \sqrt{b c x + a c}}{13 \, b}"," ",0,"2/13*(b^6*x^6 + 6*a*b^5*x^5 + 15*a^2*b^4*x^4 + 20*a^3*b^3*x^3 + 15*a^4*b^2*x^2 + 6*a^5*b*x + a^6)*sqrt(b*c*x + a*c)/b","B",0
1446,1,67,0,0.826960," ","integrate((b*x+a)^5/(b*c*x+a*c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{5} x^{5} + 5 \, a b^{4} x^{4} + 10 \, a^{2} b^{3} x^{3} + 10 \, a^{3} b^{2} x^{2} + 5 \, a^{4} b x + a^{5}\right)} \sqrt{b c x + a c}}{11 \, b c}"," ",0,"2/11*(b^5*x^5 + 5*a*b^4*x^4 + 10*a^2*b^3*x^3 + 10*a^3*b^2*x^2 + 5*a^4*b*x + a^5)*sqrt(b*c*x + a*c)/(b*c)","B",0
1447,1,56,0,1.400982," ","integrate((b*x+a)^5/(b*c*x+a*c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{4} x^{4} + 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a^{3} b x + a^{4}\right)} \sqrt{b c x + a c}}{9 \, b c^{2}}"," ",0,"2/9*(b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x + a^4)*sqrt(b*c*x + a*c)/(b*c^2)","B",0
1448,1,45,0,1.435204," ","integrate((b*x+a)^5/(b*c*x+a*c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)} \sqrt{b c x + a c}}{7 \, b c^{3}}"," ",0,"2/7*(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)*sqrt(b*c*x + a*c)/(b*c^3)","B",0
1449,1,34,0,1.257843," ","integrate((b*x+a)^5/(b*c*x+a*c)^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{b c x + a c}}{5 \, b c^{4}}"," ",0,"2/5*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(b*c*x + a*c)/(b*c^4)","A",0
1450,1,23,0,1.311360," ","integrate((b*x+a)^5/(b*c*x+a*c)^(9/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b c x + a c} {\left(b x + a\right)}}{3 \, b c^{5}}"," ",0,"2/3*sqrt(b*c*x + a*c)*(b*x + a)/(b*c^5)","A",0
1451,1,18,0,1.189280," ","integrate((b*x+a)^5/(b*c*x+a*c)^(11/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b c x + a c}}{b c^{6}}"," ",0,"2*sqrt(b*c*x + a*c)/(b*c^6)","A",0
1452,1,29,0,1.098954," ","integrate((b*x+a)^5/(b*c*x+a*c)^(13/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b c x + a c}}{b^{2} c^{7} x + a b c^{7}}"," ",0,"-2*sqrt(b*c*x + a*c)/(b^2*c^7*x + a*b*c^7)","A",0
1453,1,21,0,1.215476," ","integrate(1/(-2+x)/(2+x)^(1/2),x, algorithm=""fricas"")","-\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
1454,1,18,0,1.047249," ","integrate(1/(2+3*x)/(1+5*x)^(1/2),x, algorithm=""fricas"")","\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
1455,1,86,0,1.332980," ","integrate((1-x)^(1/3)/(1+x),x, algorithm=""fricas"")","-\sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{1}{3} \, \sqrt{3} 2^{\frac{2}{3}} {\left(-x + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\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(1/3*sqrt(3)*2^(2/3)*(-x + 1)^(1/3) + 1/3*sqrt(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
1456,1,19,0,1.239666," ","integrate((3-2*x)^(1/3)*(7+x),x, algorithm=""fricas"")","\frac{3}{112} \, {\left(16 \, x^{2} + 190 \, x - 321\right)} {\left(-2 \, x + 3\right)}^{\frac{1}{3}}"," ",0,"3/112*(16*x^2 + 190*x - 321)*(-2*x + 3)^(1/3)","A",0
1457,1,24,0,1.322249," ","integrate((1-x)^(1/3)*(1+x)^2,x, algorithm=""fricas"")","\frac{3}{70} \, {\left(7 \, x^{3} + 19 \, x^{2} + 11 \, x - 37\right)} {\left(-x + 1\right)}^{\frac{1}{3}}"," ",0,"3/70*(7*x^3 + 19*x^2 + 11*x - 37)*(-x + 1)^(1/3)","A",0
1458,1,570,0,1.265378," ","integrate(1/(b*x+a)/(d*x+c)^(1/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} {\left(b^{2} c - a b d\right)} \sqrt{-\frac{{\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}}}{b c - a d}} \log\left(\frac{2 \, b^{2} d x + 3 \, b^{2} c - a b d - \sqrt{3} {\left({\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}} {\left(b c - a d\right)} + {\left(b^{2} c - a b d\right)} {\left(d x + c\right)}^{\frac{1}{3}} - 2 \, {\left(b^{3} c - a b^{2} d\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{2}{3}}\right)} \sqrt{-\frac{{\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}}}{b c - a d}} - 3 \, {\left(b^{3} c - a b^{2} d\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{b x + a}\right) - {\left(b^{3} c - a b^{2} d\right)}^{\frac{2}{3}} \log\left({\left(d x + c\right)}^{\frac{2}{3}} b^{2} + {\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b + {\left(b^{3} c - a b^{2} d\right)}^{\frac{2}{3}}\right) + 2 \, {\left(b^{3} c - a b^{2} d\right)}^{\frac{2}{3}} \log\left({\left(d x + c\right)}^{\frac{1}{3}} b - {\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}}\right)}{2 \, {\left(b^{3} c - a b^{2} d\right)}}, \frac{2 \, \sqrt{3} {\left(b^{2} c - a b d\right)} \sqrt{\frac{{\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}}}{b c - a d}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(d x + c\right)}^{\frac{1}{3}} b + {\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{{\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}}}{b c - a d}}}{3 \, b}\right) - {\left(b^{3} c - a b^{2} d\right)}^{\frac{2}{3}} \log\left({\left(d x + c\right)}^{\frac{2}{3}} b^{2} + {\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b + {\left(b^{3} c - a b^{2} d\right)}^{\frac{2}{3}}\right) + 2 \, {\left(b^{3} c - a b^{2} d\right)}^{\frac{2}{3}} \log\left({\left(d x + c\right)}^{\frac{1}{3}} b - {\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}}\right)}{2 \, {\left(b^{3} c - a b^{2} d\right)}}\right]"," ",0,"[1/2*(sqrt(3)*(b^2*c - a*b*d)*sqrt(-(b^3*c - a*b^2*d)^(1/3)/(b*c - a*d))*log((2*b^2*d*x + 3*b^2*c - a*b*d - sqrt(3)*((b^3*c - a*b^2*d)^(1/3)*(b*c - a*d) + (b^2*c - a*b*d)*(d*x + c)^(1/3) - 2*(b^3*c - a*b^2*d)^(2/3)*(d*x + c)^(2/3))*sqrt(-(b^3*c - a*b^2*d)^(1/3)/(b*c - a*d)) - 3*(b^3*c - a*b^2*d)^(2/3)*(d*x + c)^(1/3))/(b*x + a)) - (b^3*c - a*b^2*d)^(2/3)*log((d*x + c)^(2/3)*b^2 + (b^3*c - a*b^2*d)^(1/3)*(d*x + c)^(1/3)*b + (b^3*c - a*b^2*d)^(2/3)) + 2*(b^3*c - a*b^2*d)^(2/3)*log((d*x + c)^(1/3)*b - (b^3*c - a*b^2*d)^(1/3)))/(b^3*c - a*b^2*d), 1/2*(2*sqrt(3)*(b^2*c - a*b*d)*sqrt((b^3*c - a*b^2*d)^(1/3)/(b*c - a*d))*arctan(1/3*sqrt(3)*(2*(d*x + c)^(1/3)*b + (b^3*c - a*b^2*d)^(1/3))*sqrt((b^3*c - a*b^2*d)^(1/3)/(b*c - a*d))/b) - (b^3*c - a*b^2*d)^(2/3)*log((d*x + c)^(2/3)*b^2 + (b^3*c - a*b^2*d)^(1/3)*(d*x + c)^(1/3)*b + (b^3*c - a*b^2*d)^(2/3)) + 2*(b^3*c - a*b^2*d)^(2/3)*log((d*x + c)^(1/3)*b - (b^3*c - a*b^2*d)^(1/3)))/(b^3*c - a*b^2*d)]","B",0
1459,1,900,0,1.582985," ","integrate(1/(b*x+a)/(d*x+c)^(2/3),x, algorithm=""fricas"")","\left[-\frac{\sqrt{3} {\left(b^{2} c - a b d\right)} \sqrt{-\frac{{\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{1}{3}}}{b}} \log\left(-\frac{3 \, b^{2} c^{2} - 4 \, a b c d + a^{2} d^{2} + 2 \, {\left(b^{2} c d - a b d^{2}\right)} x + \sqrt{3} {\left(2 \, {\left(b^{2} c - a b d\right)} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} - {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{{\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{1}{3}}}{b}} - 3 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} {\left(d x + c\right)}^{\frac{1}{3}}}{b x + a}\right) + {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{2}{3}} \log\left(-{\left(b^{2} c - a b d\right)} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} - {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\right) - 2 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{2}{3}} \log\left(-{\left(b^{2} c - a b d\right)} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{2}{3}}\right)}{2 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}}, -\frac{2 \, \sqrt{3} {\left(b^{2} c - a b d\right)} \sqrt{\frac{{\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{3} {\left({\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} + 2 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{{\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{1}{3}}}{b}}}{3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)}}\right) + {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{2}{3}} \log\left(-{\left(b^{2} c - a b d\right)} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{1}{3}} {\left(b c - a d\right)} - {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\right) - 2 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{2}{3}} \log\left(-{\left(b^{2} c - a b d\right)} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}^{\frac{2}{3}}\right)}{2 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}}\right]"," ",0,"[-1/2*(sqrt(3)*(b^2*c - a*b*d)*sqrt(-(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(1/3)/b)*log(-(3*b^2*c^2 - 4*a*b*c*d + a^2*d^2 + 2*(b^2*c*d - a*b*d^2)*x + sqrt(3)*(2*(b^2*c - a*b*d)*(d*x + c)^(2/3) - (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(1/3)*(b*c - a*d) - (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(2/3)*(d*x + c)^(1/3))*sqrt(-(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(1/3)/b) - 3*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(1/3)*(b*c - a*d)*(d*x + c)^(1/3))/(b*x + a)) + (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(2/3)*log(-(b^2*c - a*b*d)*(d*x + c)^(2/3) - (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(1/3)*(b*c - a*d) - (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(2/3)*(d*x + c)^(1/3)) - 2*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(2/3)*log(-(b^2*c - a*b*d)*(d*x + c)^(1/3) + (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(2/3)))/(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2), -1/2*(2*sqrt(3)*(b^2*c - a*b*d)*sqrt((b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(1/3)/b)*arctan(1/3*sqrt(3)*((b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(1/3)*(b*c - a*d) + 2*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(2/3)*(d*x + c)^(1/3))*sqrt((b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(1/3)/b)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2)) + (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(2/3)*log(-(b^2*c - a*b*d)*(d*x + c)^(2/3) - (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(1/3)*(b*c - a*d) - (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(2/3)*(d*x + c)^(1/3)) - 2*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(2/3)*log(-(b^2*c - a*b*d)*(d*x + c)^(1/3) + (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)^(2/3)))/(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)]","B",0
1460,1,702,0,1.735591," ","integrate((b*x+a)^(7/2)*(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[-\frac{105 \, {\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{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(384 \, b^{5} d^{5} x^{4} - 105 \, b^{5} c^{4} d + 490 \, a b^{4} c^{3} d^{2} - 896 \, a^{2} b^{3} c^{2} d^{3} + 790 \, a^{3} b^{2} c d^{4} + 105 \, a^{4} b d^{5} + 48 \, {\left(b^{5} c d^{4} + 31 \, a b^{4} d^{5}\right)} x^{3} - 8 \, {\left(7 \, b^{5} c^{2} d^{3} - 32 \, a b^{4} c d^{4} - 263 \, a^{2} b^{3} d^{5}\right)} x^{2} + 2 \, {\left(35 \, b^{5} c^{3} d^{2} - 161 \, a b^{4} c^{2} d^{3} + 289 \, a^{2} b^{3} c d^{4} + 605 \, a^{3} b^{2} d^{5}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{7680 \, b^{2} d^{5}}, -\frac{105 \, {\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{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) - 2 \, {\left(384 \, b^{5} d^{5} x^{4} - 105 \, b^{5} c^{4} d + 490 \, a b^{4} c^{3} d^{2} - 896 \, a^{2} b^{3} c^{2} d^{3} + 790 \, a^{3} b^{2} c d^{4} + 105 \, a^{4} b d^{5} + 48 \, {\left(b^{5} c d^{4} + 31 \, a b^{4} d^{5}\right)} x^{3} - 8 \, {\left(7 \, b^{5} c^{2} d^{3} - 32 \, a b^{4} c d^{4} - 263 \, a^{2} b^{3} d^{5}\right)} x^{2} + 2 \, {\left(35 \, b^{5} c^{3} d^{2} - 161 \, a b^{4} c^{2} d^{3} + 289 \, a^{2} b^{3} c d^{4} + 605 \, a^{3} b^{2} d^{5}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{3840 \, b^{2} d^{5}}\right]"," ",0,"[-1/7680*(105*(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(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 - 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(384*b^5*d^5*x^4 - 105*b^5*c^4*d + 490*a*b^4*c^3*d^2 - 896*a^2*b^3*c^2*d^3 + 790*a^3*b^2*c*d^4 + 105*a^4*b*d^5 + 48*(b^5*c*d^4 + 31*a*b^4*d^5)*x^3 - 8*(7*b^5*c^2*d^3 - 32*a*b^4*c*d^4 - 263*a^2*b^3*d^5)*x^2 + 2*(35*b^5*c^3*d^2 - 161*a*b^4*c^2*d^3 + 289*a^2*b^3*c*d^4 + 605*a^3*b^2*d^5)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^2*d^5), -1/3840*(105*(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(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) - 2*(384*b^5*d^5*x^4 - 105*b^5*c^4*d + 490*a*b^4*c^3*d^2 - 896*a^2*b^3*c^2*d^3 + 790*a^3*b^2*c*d^4 + 105*a^4*b*d^5 + 48*(b^5*c*d^4 + 31*a*b^4*d^5)*x^3 - 8*(7*b^5*c^2*d^3 - 32*a*b^4*c*d^4 - 263*a^2*b^3*d^5)*x^2 + 2*(35*b^5*c^3*d^2 - 161*a*b^4*c^2*d^3 + 289*a^2*b^3*c*d^4 + 605*a^3*b^2*d^5)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^2*d^5)]","A",0
1461,1,540,0,1.421154," ","integrate((b*x+a)^(5/2)*(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\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{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) + 4 \, {\left(48 \, b^{4} d^{4} x^{3} + 15 \, b^{4} c^{3} d - 55 \, a b^{3} c^{2} d^{2} + 73 \, a^{2} b^{2} c d^{3} + 15 \, a^{3} b d^{4} + 8 \, {\left(b^{4} c d^{3} + 17 \, a b^{3} d^{4}\right)} x^{2} - 2 \, {\left(5 \, b^{4} c^{2} d^{2} - 18 \, a b^{3} c d^{3} - 59 \, a^{2} b^{2} d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{768 \, b^{2} d^{4}}, \frac{15 \, {\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{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) + 2 \, {\left(48 \, b^{4} d^{4} x^{3} + 15 \, b^{4} c^{3} d - 55 \, a b^{3} c^{2} d^{2} + 73 \, a^{2} b^{2} c d^{3} + 15 \, a^{3} b d^{4} + 8 \, {\left(b^{4} c d^{3} + 17 \, a b^{3} d^{4}\right)} x^{2} - 2 \, {\left(5 \, b^{4} c^{2} d^{2} - 18 \, a b^{3} c d^{3} - 59 \, a^{2} b^{2} d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{384 \, b^{2} d^{4}}\right]"," ",0,"[1/768*(15*(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(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 - 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) + 4*(48*b^4*d^4*x^3 + 15*b^4*c^3*d - 55*a*b^3*c^2*d^2 + 73*a^2*b^2*c*d^3 + 15*a^3*b*d^4 + 8*(b^4*c*d^3 + 17*a*b^3*d^4)*x^2 - 2*(5*b^4*c^2*d^2 - 18*a*b^3*c*d^3 - 59*a^2*b^2*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^2*d^4), 1/384*(15*(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(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) + 2*(48*b^4*d^4*x^3 + 15*b^4*c^3*d - 55*a*b^3*c^2*d^2 + 73*a^2*b^2*c*d^3 + 15*a^3*b*d^4 + 8*(b^4*c*d^3 + 17*a*b^3*d^4)*x^2 - 2*(5*b^4*c^2*d^2 - 18*a*b^3*c*d^3 - 59*a^2*b^2*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^2*d^4)]","A",0
1462,1,410,0,1.369353," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\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{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(8 \, b^{3} d^{3} x^{2} - 3 \, b^{3} c^{2} d + 8 \, a b^{2} c d^{2} + 3 \, a^{2} b d^{3} + 2 \, {\left(b^{3} c d^{2} + 7 \, a b^{2} d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{96 \, b^{2} d^{3}}, -\frac{3 \, {\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{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) - 2 \, {\left(8 \, b^{3} d^{3} x^{2} - 3 \, b^{3} c^{2} d + 8 \, a b^{2} c d^{2} + 3 \, a^{2} b d^{3} + 2 \, {\left(b^{3} c d^{2} + 7 \, a b^{2} d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{48 \, b^{2} d^{3}}\right]"," ",0,"[-1/96*(3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sqrt(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 - 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(8*b^3*d^3*x^2 - 3*b^3*c^2*d + 8*a*b^2*c*d^2 + 3*a^2*b*d^3 + 2*(b^3*c*d^2 + 7*a*b^2*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^2*d^3), -1/48*(3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sqrt(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) - 2*(8*b^3*d^3*x^2 - 3*b^3*c^2*d + 8*a*b^2*c*d^2 + 3*a^2*b*d^3 + 2*(b^3*c*d^2 + 7*a*b^2*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^2*d^3)]","A",0
1463,1,300,0,1.502824," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) + 4 \, {\left(2 \, b^{2} d^{2} x + b^{2} c d + a b d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c}}{16 \, b^{2} d^{2}}, \frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) + 2 \, {\left(2 \, b^{2} d^{2} x + b^{2} c d + a b d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c}}{8 \, b^{2} d^{2}}\right]"," ",0,"[1/16*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 - 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) + 4*(2*b^2*d^2*x + b^2*c*d + a*b*d^2)*sqrt(b*x + a)*sqrt(d*x + c))/(b^2*d^2), 1/8*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) + 2*(2*b^2*d^2*x + b^2*c*d + a*b*d^2)*sqrt(b*x + a)*sqrt(d*x + c))/(b^2*d^2)]","A",0
1464,1,236,0,1.322394," ","integrate((d*x+c)^(1/2)/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{4 \, \sqrt{b x + a} \sqrt{d x + c} b d - {\left(b c - a d\right)} \sqrt{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right)}{4 \, b^{2} d}, \frac{2 \, \sqrt{b x + a} \sqrt{d x + c} b d - {\left(b c - a d\right)} \sqrt{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right)}{2 \, b^{2} d}\right]"," ",0,"[1/4*(4*sqrt(b*x + a)*sqrt(d*x + c)*b*d - (b*c - a*d)*sqrt(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 - 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x))/(b^2*d), 1/2*(2*sqrt(b*x + a)*sqrt(d*x + c)*b*d - (b*c - a*d)*sqrt(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)))/(b^2*d)]","A",0
1465,1,241,0,1.476579," ","integrate((d*x+c)^(1/2)/(b*x+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(b x + a\right)} \sqrt{\frac{d}{b}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b^{2} d x + b^{2} c + a b d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{d}{b}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} x + a b\right)}}, -\frac{{\left(b x + a\right)} \sqrt{-\frac{d}{b}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{d}{b}}}{2 \, {\left(b d^{2} x^{2} + a c d + {\left(b c d + a d^{2}\right)} x\right)}}\right) + 2 \, \sqrt{b x + a} \sqrt{d x + c}}{b^{2} x + a b}\right]"," ",0,"[1/2*((b*x + a)*sqrt(d/b)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b^2*d*x + b^2*c + a*b*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(d/b) + 8*(b^2*c*d + a*b*d^2)*x) - 4*sqrt(b*x + a)*sqrt(d*x + c))/(b^2*x + a*b), -((b*x + a)*sqrt(-d/b)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-d/b)/(b*d^2*x^2 + a*c*d + (b*c*d + a*d^2)*x)) + 2*sqrt(b*x + a)*sqrt(d*x + c))/(b^2*x + a*b)]","B",0
1466,1,65,0,1.530388," ","integrate((d*x+c)^(1/2)/(b*x+a)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{2}}}{3 \, {\left(a^{2} b c - a^{3} d + {\left(b^{3} c - a b^{2} d\right)} x^{2} + 2 \, {\left(a b^{2} c - a^{2} b d\right)} x\right)}}"," ",0,"-2/3*sqrt(b*x + a)*(d*x + c)^(3/2)/(a^2*b*c - a^3*d + (b^3*c - a*b^2*d)*x^2 + 2*(a*b^2*c - a^2*b*d)*x)","B",0
1467,1,175,0,2.317753," ","integrate((d*x+c)^(1/2)/(b*x+a)^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, b d^{2} x^{2} - 3 \, b c^{2} + 5 \, a c d - {\left(b c d - 5 \, a d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{15 \, {\left(a^{3} b^{2} c^{2} - 2 \, a^{4} b c d + a^{5} d^{2} + {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} x^{3} + 3 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} x^{2} + 3 \, {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} x\right)}}"," ",0,"2/15*(2*b*d^2*x^2 - 3*b*c^2 + 5*a*c*d - (b*c*d - 5*a*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^3*b^2*c^2 - 2*a^4*b*c*d + a^5*d^2 + (b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*x^3 + 3*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*x^2 + 3*(a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*x)","B",0
1468,1,337,0,3.930681," ","integrate((d*x+c)^(1/2)/(b*x+a)^(9/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(8 \, b^{2} d^{3} x^{3} + 15 \, b^{2} c^{3} - 42 \, a b c^{2} d + 35 \, a^{2} c d^{2} - 4 \, {\left(b^{2} c d^{2} - 7 \, a b d^{3}\right)} x^{2} + {\left(3 \, b^{2} c^{2} d - 14 \, a b c d^{2} + 35 \, a^{2} d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{105 \, {\left(a^{4} b^{3} c^{3} - 3 \, a^{5} b^{2} c^{2} d + 3 \, a^{6} b c d^{2} - a^{7} d^{3} + {\left(b^{7} c^{3} - 3 \, a b^{6} c^{2} d + 3 \, a^{2} b^{5} c d^{2} - a^{3} b^{4} d^{3}\right)} x^{4} + 4 \, {\left(a b^{6} c^{3} - 3 \, a^{2} b^{5} c^{2} d + 3 \, a^{3} b^{4} c d^{2} - a^{4} b^{3} d^{3}\right)} x^{3} + 6 \, {\left(a^{2} b^{5} c^{3} - 3 \, a^{3} b^{4} c^{2} d + 3 \, a^{4} b^{3} c d^{2} - a^{5} b^{2} d^{3}\right)} x^{2} + 4 \, {\left(a^{3} b^{4} c^{3} - 3 \, a^{4} b^{3} c^{2} d + 3 \, a^{5} b^{2} c d^{2} - a^{6} b d^{3}\right)} x\right)}}"," ",0,"-2/105*(8*b^2*d^3*x^3 + 15*b^2*c^3 - 42*a*b*c^2*d + 35*a^2*c*d^2 - 4*(b^2*c*d^2 - 7*a*b*d^3)*x^2 + (3*b^2*c^2*d - 14*a*b*c*d^2 + 35*a^2*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^4*b^3*c^3 - 3*a^5*b^2*c^2*d + 3*a^6*b*c*d^2 - a^7*d^3 + (b^7*c^3 - 3*a*b^6*c^2*d + 3*a^2*b^5*c*d^2 - a^3*b^4*d^3)*x^4 + 4*(a*b^6*c^3 - 3*a^2*b^5*c^2*d + 3*a^3*b^4*c*d^2 - a^4*b^3*d^3)*x^3 + 6*(a^2*b^5*c^3 - 3*a^3*b^4*c^2*d + 3*a^4*b^3*c*d^2 - a^5*b^2*d^3)*x^2 + 4*(a^3*b^4*c^3 - 3*a^4*b^3*c^2*d + 3*a^5*b^2*c*d^2 - a^6*b*d^3)*x)","B",0
1469,1,532,0,13.035123," ","integrate((d*x+c)^(1/2)/(b*x+a)^(11/2),x, algorithm=""fricas"")","\frac{2 \, {\left(16 \, b^{3} d^{4} x^{4} - 35 \, b^{3} c^{4} + 135 \, a b^{2} c^{3} d - 189 \, a^{2} b c^{2} d^{2} + 105 \, a^{3} c d^{3} - 8 \, {\left(b^{3} c d^{3} - 9 \, a b^{2} d^{4}\right)} x^{3} + 6 \, {\left(b^{3} c^{2} d^{2} - 6 \, a b^{2} c d^{3} + 21 \, a^{2} b d^{4}\right)} x^{2} - {\left(5 \, b^{3} c^{3} d - 27 \, a b^{2} c^{2} d^{2} + 63 \, a^{2} b c d^{3} - 105 \, a^{3} d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{315 \, {\left(a^{5} b^{4} c^{4} - 4 \, a^{6} b^{3} c^{3} d + 6 \, a^{7} b^{2} c^{2} d^{2} - 4 \, a^{8} b c d^{3} + a^{9} d^{4} + {\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} x^{5} + 5 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} x^{4} + 10 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} x^{3} + 10 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} x^{2} + 5 \, {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4}\right)} x\right)}}"," ",0,"2/315*(16*b^3*d^4*x^4 - 35*b^3*c^4 + 135*a*b^2*c^3*d - 189*a^2*b*c^2*d^2 + 105*a^3*c*d^3 - 8*(b^3*c*d^3 - 9*a*b^2*d^4)*x^3 + 6*(b^3*c^2*d^2 - 6*a*b^2*c*d^3 + 21*a^2*b*d^4)*x^2 - (5*b^3*c^3*d - 27*a*b^2*c^2*d^2 + 63*a^2*b*c*d^3 - 105*a^3*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^5*b^4*c^4 - 4*a^6*b^3*c^3*d + 6*a^7*b^2*c^2*d^2 - 4*a^8*b*c*d^3 + a^9*d^4 + (b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*x^5 + 5*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*x^4 + 10*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*x^3 + 10*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*x^2 + 5*(a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4)*x)","B",0
1470,1,781,0,27.263570," ","integrate((d*x+c)^(1/2)/(b*x+a)^(13/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(128 \, b^{4} d^{5} x^{5} + 315 \, b^{4} c^{5} - 1540 \, a b^{3} c^{4} d + 2970 \, a^{2} b^{2} c^{3} d^{2} - 2772 \, a^{3} b c^{2} d^{3} + 1155 \, a^{4} c d^{4} - 64 \, {\left(b^{4} c d^{4} - 11 \, a b^{3} d^{5}\right)} x^{4} + 16 \, {\left(3 \, b^{4} c^{2} d^{3} - 22 \, a b^{3} c d^{4} + 99 \, a^{2} b^{2} d^{5}\right)} x^{3} - 8 \, {\left(5 \, b^{4} c^{3} d^{2} - 33 \, a b^{3} c^{2} d^{3} + 99 \, a^{2} b^{2} c d^{4} - 231 \, a^{3} b d^{5}\right)} x^{2} + {\left(35 \, b^{4} c^{4} d - 220 \, a b^{3} c^{3} d^{2} + 594 \, a^{2} b^{2} c^{2} d^{3} - 924 \, a^{3} b c d^{4} + 1155 \, a^{4} d^{5}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{3465 \, {\left(a^{6} b^{5} c^{5} - 5 \, a^{7} b^{4} c^{4} d + 10 \, a^{8} b^{3} c^{3} d^{2} - 10 \, a^{9} b^{2} c^{2} d^{3} + 5 \, a^{10} b c d^{4} - a^{11} d^{5} + {\left(b^{11} c^{5} - 5 \, a b^{10} c^{4} d + 10 \, a^{2} b^{9} c^{3} d^{2} - 10 \, a^{3} b^{8} c^{2} d^{3} + 5 \, a^{4} b^{7} c d^{4} - a^{5} b^{6} d^{5}\right)} x^{6} + 6 \, {\left(a b^{10} c^{5} - 5 \, a^{2} b^{9} c^{4} d + 10 \, a^{3} b^{8} c^{3} d^{2} - 10 \, a^{4} b^{7} c^{2} d^{3} + 5 \, a^{5} b^{6} c d^{4} - a^{6} b^{5} d^{5}\right)} x^{5} + 15 \, {\left(a^{2} b^{9} c^{5} - 5 \, a^{3} b^{8} c^{4} d + 10 \, a^{4} b^{7} c^{3} d^{2} - 10 \, a^{5} b^{6} c^{2} d^{3} + 5 \, a^{6} b^{5} c d^{4} - a^{7} b^{4} d^{5}\right)} x^{4} + 20 \, {\left(a^{3} b^{8} c^{5} - 5 \, a^{4} b^{7} c^{4} d + 10 \, a^{5} b^{6} c^{3} d^{2} - 10 \, a^{6} b^{5} c^{2} d^{3} + 5 \, a^{7} b^{4} c d^{4} - a^{8} b^{3} d^{5}\right)} x^{3} + 15 \, {\left(a^{4} b^{7} c^{5} - 5 \, a^{5} b^{6} c^{4} d + 10 \, a^{6} b^{5} c^{3} d^{2} - 10 \, a^{7} b^{4} c^{2} d^{3} + 5 \, a^{8} b^{3} c d^{4} - a^{9} b^{2} d^{5}\right)} x^{2} + 6 \, {\left(a^{5} b^{6} c^{5} - 5 \, a^{6} b^{5} c^{4} d + 10 \, a^{7} b^{4} c^{3} d^{2} - 10 \, a^{8} b^{3} c^{2} d^{3} + 5 \, a^{9} b^{2} c d^{4} - a^{10} b d^{5}\right)} x\right)}}"," ",0,"-2/3465*(128*b^4*d^5*x^5 + 315*b^4*c^5 - 1540*a*b^3*c^4*d + 2970*a^2*b^2*c^3*d^2 - 2772*a^3*b*c^2*d^3 + 1155*a^4*c*d^4 - 64*(b^4*c*d^4 - 11*a*b^3*d^5)*x^4 + 16*(3*b^4*c^2*d^3 - 22*a*b^3*c*d^4 + 99*a^2*b^2*d^5)*x^3 - 8*(5*b^4*c^3*d^2 - 33*a*b^3*c^2*d^3 + 99*a^2*b^2*c*d^4 - 231*a^3*b*d^5)*x^2 + (35*b^4*c^4*d - 220*a*b^3*c^3*d^2 + 594*a^2*b^2*c^2*d^3 - 924*a^3*b*c*d^4 + 1155*a^4*d^5)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^6*b^5*c^5 - 5*a^7*b^4*c^4*d + 10*a^8*b^3*c^3*d^2 - 10*a^9*b^2*c^2*d^3 + 5*a^10*b*c*d^4 - a^11*d^5 + (b^11*c^5 - 5*a*b^10*c^4*d + 10*a^2*b^9*c^3*d^2 - 10*a^3*b^8*c^2*d^3 + 5*a^4*b^7*c*d^4 - a^5*b^6*d^5)*x^6 + 6*(a*b^10*c^5 - 5*a^2*b^9*c^4*d + 10*a^3*b^8*c^3*d^2 - 10*a^4*b^7*c^2*d^3 + 5*a^5*b^6*c*d^4 - a^6*b^5*d^5)*x^5 + 15*(a^2*b^9*c^5 - 5*a^3*b^8*c^4*d + 10*a^4*b^7*c^3*d^2 - 10*a^5*b^6*c^2*d^3 + 5*a^6*b^5*c*d^4 - a^7*b^4*d^5)*x^4 + 20*(a^3*b^8*c^5 - 5*a^4*b^7*c^4*d + 10*a^5*b^6*c^3*d^2 - 10*a^6*b^5*c^2*d^3 + 5*a^7*b^4*c*d^4 - a^8*b^3*d^5)*x^3 + 15*(a^4*b^7*c^5 - 5*a^5*b^6*c^4*d + 10*a^6*b^5*c^3*d^2 - 10*a^7*b^4*c^2*d^3 + 5*a^8*b^3*c*d^4 - a^9*b^2*d^5)*x^2 + 6*(a^5*b^6*c^5 - 5*a^6*b^5*c^4*d + 10*a^7*b^4*c^3*d^2 - 10*a^8*b^3*c^2*d^3 + 5*a^9*b^2*c*d^4 - a^10*b*d^5)*x)","B",0
1471,1,702,0,1.521530," ","integrate((b*x+a)^(5/2)*(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\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{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(128 \, b^{5} d^{5} x^{4} + 15 \, b^{5} c^{4} d - 70 \, a b^{4} c^{3} d^{2} + 128 \, a^{2} b^{3} c^{2} d^{3} + 70 \, a^{3} b^{2} c d^{4} - 15 \, a^{4} b d^{5} + 16 \, {\left(11 \, b^{5} c d^{4} + 21 \, a b^{4} d^{5}\right)} x^{3} + 8 \, {\left(b^{5} c^{2} d^{3} + 64 \, a b^{4} c d^{4} + 31 \, a^{2} b^{3} d^{5}\right)} x^{2} - 2 \, {\left(5 \, b^{5} c^{3} d^{2} - 23 \, a b^{4} c^{2} d^{3} - 233 \, a^{2} b^{3} c d^{4} - 5 \, a^{3} b^{2} d^{5}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{2560 \, b^{3} d^{4}}, \frac{15 \, {\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{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) + 2 \, {\left(128 \, b^{5} d^{5} x^{4} + 15 \, b^{5} c^{4} d - 70 \, a b^{4} c^{3} d^{2} + 128 \, a^{2} b^{3} c^{2} d^{3} + 70 \, a^{3} b^{2} c d^{4} - 15 \, a^{4} b d^{5} + 16 \, {\left(11 \, b^{5} c d^{4} + 21 \, a b^{4} d^{5}\right)} x^{3} + 8 \, {\left(b^{5} c^{2} d^{3} + 64 \, a b^{4} c d^{4} + 31 \, a^{2} b^{3} d^{5}\right)} x^{2} - 2 \, {\left(5 \, b^{5} c^{3} d^{2} - 23 \, a b^{4} c^{2} d^{3} - 233 \, a^{2} b^{3} c d^{4} - 5 \, a^{3} b^{2} d^{5}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{1280 \, b^{3} d^{4}}\right]"," ",0,"[-1/2560*(15*(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(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(128*b^5*d^5*x^4 + 15*b^5*c^4*d - 70*a*b^4*c^3*d^2 + 128*a^2*b^3*c^2*d^3 + 70*a^3*b^2*c*d^4 - 15*a^4*b*d^5 + 16*(11*b^5*c*d^4 + 21*a*b^4*d^5)*x^3 + 8*(b^5*c^2*d^3 + 64*a*b^4*c*d^4 + 31*a^2*b^3*d^5)*x^2 - 2*(5*b^5*c^3*d^2 - 23*a*b^4*c^2*d^3 - 233*a^2*b^3*c*d^4 - 5*a^3*b^2*d^5)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^3*d^4), 1/1280*(15*(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(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) + 2*(128*b^5*d^5*x^4 + 15*b^5*c^4*d - 70*a*b^4*c^3*d^2 + 128*a^2*b^3*c^2*d^3 + 70*a^3*b^2*c*d^4 - 15*a^4*b*d^5 + 16*(11*b^5*c*d^4 + 21*a*b^4*d^5)*x^3 + 8*(b^5*c^2*d^3 + 64*a*b^4*c*d^4 + 31*a^2*b^3*d^5)*x^2 - 2*(5*b^5*c^3*d^2 - 23*a*b^4*c^2*d^3 - 233*a^2*b^3*c*d^4 - 5*a^3*b^2*d^5)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^3*d^4)]","A",0
1472,1,534,0,1.351777," ","integrate((b*x+a)^(3/2)*(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\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{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) + 4 \, {\left(16 \, b^{4} d^{4} x^{3} - 3 \, b^{4} c^{3} d + 11 \, a b^{3} c^{2} d^{2} + 11 \, a^{2} b^{2} c d^{3} - 3 \, a^{3} b d^{4} + 24 \, {\left(b^{4} c d^{3} + a b^{3} d^{4}\right)} x^{2} + 2 \, {\left(b^{4} c^{2} d^{2} + 22 \, a b^{3} c d^{3} + a^{2} b^{2} d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{256 \, b^{3} d^{3}}, -\frac{3 \, {\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{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) - 2 \, {\left(16 \, b^{4} d^{4} x^{3} - 3 \, b^{4} c^{3} d + 11 \, a b^{3} c^{2} d^{2} + 11 \, a^{2} b^{2} c d^{3} - 3 \, a^{3} b d^{4} + 24 \, {\left(b^{4} c d^{3} + a b^{3} d^{4}\right)} x^{2} + 2 \, {\left(b^{4} c^{2} d^{2} + 22 \, a b^{3} c d^{3} + a^{2} b^{2} d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{128 \, b^{3} d^{3}}\right]"," ",0,"[1/256*(3*(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(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) + 4*(16*b^4*d^4*x^3 - 3*b^4*c^3*d + 11*a*b^3*c^2*d^2 + 11*a^2*b^2*c*d^3 - 3*a^3*b*d^4 + 24*(b^4*c*d^3 + a*b^3*d^4)*x^2 + 2*(b^4*c^2*d^2 + 22*a*b^3*c*d^3 + a^2*b^2*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^3*d^3), -1/128*(3*(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(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) - 2*(16*b^4*d^4*x^3 - 3*b^4*c^3*d + 11*a*b^3*c^2*d^2 + 11*a^2*b^2*c*d^3 - 3*a^3*b*d^4 + 24*(b^4*c*d^3 + a*b^3*d^4)*x^2 + 2*(b^4*c^2*d^2 + 22*a*b^3*c*d^3 + a^2*b^2*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^3*d^3)]","A",0
1473,1,410,0,1.479167," ","integrate((b*x+a)^(1/2)*(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\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{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(8 \, b^{3} d^{3} x^{2} + 3 \, b^{3} c^{2} d + 8 \, a b^{2} c d^{2} - 3 \, a^{2} b d^{3} + 2 \, {\left(7 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{96 \, b^{3} d^{2}}, \frac{3 \, {\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{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) + 2 \, {\left(8 \, b^{3} d^{3} x^{2} + 3 \, b^{3} c^{2} d + 8 \, a b^{2} c d^{2} - 3 \, a^{2} b d^{3} + 2 \, {\left(7 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{48 \, b^{3} d^{2}}\right]"," ",0,"[-1/96*(3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sqrt(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(8*b^3*d^3*x^2 + 3*b^3*c^2*d + 8*a*b^2*c*d^2 - 3*a^2*b*d^3 + 2*(7*b^3*c*d^2 + a*b^2*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^3*d^2), 1/48*(3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sqrt(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) + 2*(8*b^3*d^3*x^2 + 3*b^3*c^2*d + 8*a*b^2*c*d^2 - 3*a^2*b*d^3 + 2*(7*b^3*c*d^2 + a*b^2*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^3*d^2)]","A",0
1474,1,306,0,1.024019," ","integrate((d*x+c)^(3/2)/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) + 4 \, {\left(2 \, b^{2} d^{2} x + 5 \, b^{2} c d - 3 \, a b d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c}}{16 \, b^{3} d}, -\frac{3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) - 2 \, {\left(2 \, b^{2} d^{2} x + 5 \, b^{2} c d - 3 \, a b d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c}}{8 \, b^{3} d}\right]"," ",0,"[1/16*(3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) + 4*(2*b^2*d^2*x + 5*b^2*c*d - 3*a*b*d^2)*sqrt(b*x + a)*sqrt(d*x + c))/(b^3*d), -1/8*(3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) - 2*(2*b^2*d^2*x + 5*b^2*c*d - 3*a*b*d^2)*sqrt(b*x + a)*sqrt(d*x + c))/(b^3*d)]","A",0
1475,1,311,0,1.392153," ","integrate((d*x+c)^(3/2)/(b*x+a)^(3/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x\right)} \sqrt{\frac{d}{b}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b^{2} d x + b^{2} c + a b d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{d}{b}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(b d x - 2 \, b c + 3 \, a d\right)} \sqrt{b x + a} \sqrt{d x + c}}{4 \, {\left(b^{3} x + a b^{2}\right)}}, -\frac{3 \, {\left(a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x\right)} \sqrt{-\frac{d}{b}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{d}{b}}}{2 \, {\left(b d^{2} x^{2} + a c d + {\left(b c d + a d^{2}\right)} x\right)}}\right) - 2 \, {\left(b d x - 2 \, b c + 3 \, a d\right)} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{3} x + a b^{2}\right)}}\right]"," ",0,"[-1/4*(3*(a*b*c - a^2*d + (b^2*c - a*b*d)*x)*sqrt(d/b)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 - 4*(2*b^2*d*x + b^2*c + a*b*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(d/b) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(b*d*x - 2*b*c + 3*a*d)*sqrt(b*x + a)*sqrt(d*x + c))/(b^3*x + a*b^2), -1/2*(3*(a*b*c - a^2*d + (b^2*c - a*b*d)*x)*sqrt(-d/b)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-d/b)/(b*d^2*x^2 + a*c*d + (b*c*d + a*d^2)*x)) - 2*(b*d*x - 2*b*c + 3*a*d)*sqrt(b*x + a)*sqrt(d*x + c))/(b^3*x + a*b^2)]","A",0
1476,1,325,0,2.061172," ","integrate((d*x+c)^(3/2)/(b*x+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} d x^{2} + 2 \, a b d x + a^{2} d\right)} \sqrt{\frac{d}{b}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b^{2} d x + b^{2} c + a b d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{d}{b}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(4 \, b d x + b c + 3 \, a d\right)} \sqrt{b x + a} \sqrt{d x + c}}{6 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}}, -\frac{3 \, {\left(b^{2} d x^{2} + 2 \, a b d x + a^{2} d\right)} \sqrt{-\frac{d}{b}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{d}{b}}}{2 \, {\left(b d^{2} x^{2} + a c d + {\left(b c d + a d^{2}\right)} x\right)}}\right) + 2 \, {\left(4 \, b d x + b c + 3 \, a d\right)} \sqrt{b x + a} \sqrt{d x + c}}{3 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}}\right]"," ",0,"[1/6*(3*(b^2*d*x^2 + 2*a*b*d*x + a^2*d)*sqrt(d/b)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b^2*d*x + b^2*c + a*b*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(d/b) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(4*b*d*x + b*c + 3*a*d)*sqrt(b*x + a)*sqrt(d*x + c))/(b^4*x^2 + 2*a*b^3*x + a^2*b^2), -1/3*(3*(b^2*d*x^2 + 2*a*b*d*x + a^2*d)*sqrt(-d/b)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-d/b)/(b*d^2*x^2 + a*c*d + (b*c*d + a*d^2)*x)) + 2*(4*b*d*x + b*c + 3*a*d)*sqrt(b*x + a)*sqrt(d*x + c))/(b^4*x^2 + 2*a*b^3*x + a^2*b^2)]","B",0
1477,1,104,0,2.260528," ","integrate((d*x+c)^(3/2)/(b*x+a)^(7/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} \sqrt{b x + a} \sqrt{d x + c}}{5 \, {\left(a^{3} b c - a^{4} d + {\left(b^{4} c - a b^{3} d\right)} x^{3} + 3 \, {\left(a b^{3} c - a^{2} b^{2} d\right)} x^{2} + 3 \, {\left(a^{2} b^{2} c - a^{3} b d\right)} x\right)}}"," ",0,"-2/5*(d^2*x^2 + 2*c*d*x + c^2)*sqrt(b*x + a)*sqrt(d*x + c)/(a^3*b*c - a^4*d + (b^4*c - a*b^3*d)*x^3 + 3*(a*b^3*c - a^2*b^2*d)*x^2 + 3*(a^2*b^2*c - a^3*b*d)*x)","B",0
1478,1,235,0,3.924691," ","integrate((d*x+c)^(3/2)/(b*x+a)^(9/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, b d^{3} x^{3} - 5 \, b c^{3} + 7 \, a c^{2} d - {\left(b c d^{2} - 7 \, a d^{3}\right)} x^{2} - 2 \, {\left(4 \, b c^{2} d - 7 \, a c d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{35 \, {\left(a^{4} b^{2} c^{2} - 2 \, a^{5} b c d + a^{6} d^{2} + {\left(b^{6} c^{2} - 2 \, a b^{5} c d + a^{2} b^{4} d^{2}\right)} x^{4} + 4 \, {\left(a b^{5} c^{2} - 2 \, a^{2} b^{4} c d + a^{3} b^{3} d^{2}\right)} x^{3} + 6 \, {\left(a^{2} b^{4} c^{2} - 2 \, a^{3} b^{3} c d + a^{4} b^{2} d^{2}\right)} x^{2} + 4 \, {\left(a^{3} b^{3} c^{2} - 2 \, a^{4} b^{2} c d + a^{5} b d^{2}\right)} x\right)}}"," ",0,"2/35*(2*b*d^3*x^3 - 5*b*c^3 + 7*a*c^2*d - (b*c*d^2 - 7*a*d^3)*x^2 - 2*(4*b*c^2*d - 7*a*c*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^4*b^2*c^2 - 2*a^5*b*c*d + a^6*d^2 + (b^6*c^2 - 2*a*b^5*c*d + a^2*b^4*d^2)*x^4 + 4*(a*b^5*c^2 - 2*a^2*b^4*c*d + a^3*b^3*d^2)*x^3 + 6*(a^2*b^4*c^2 - 2*a^3*b^3*c*d + a^4*b^2*d^2)*x^2 + 4*(a^3*b^3*c^2 - 2*a^4*b^2*c*d + a^5*b*d^2)*x)","B",0
1479,1,426,0,13.562235," ","integrate((d*x+c)^(3/2)/(b*x+a)^(11/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(8 \, b^{2} d^{4} x^{4} + 35 \, b^{2} c^{4} - 90 \, a b c^{3} d + 63 \, a^{2} c^{2} d^{2} - 4 \, {\left(b^{2} c d^{3} - 9 \, a b d^{4}\right)} x^{3} + 3 \, {\left(b^{2} c^{2} d^{2} - 6 \, a b c d^{3} + 21 \, a^{2} d^{4}\right)} x^{2} + 2 \, {\left(25 \, b^{2} c^{3} d - 72 \, a b c^{2} d^{2} + 63 \, a^{2} c d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{315 \, {\left(a^{5} b^{3} c^{3} - 3 \, a^{6} b^{2} c^{2} d + 3 \, a^{7} b c d^{2} - a^{8} d^{3} + {\left(b^{8} c^{3} - 3 \, a b^{7} c^{2} d + 3 \, a^{2} b^{6} c d^{2} - a^{3} b^{5} d^{3}\right)} x^{5} + 5 \, {\left(a b^{7} c^{3} - 3 \, a^{2} b^{6} c^{2} d + 3 \, a^{3} b^{5} c d^{2} - a^{4} b^{4} d^{3}\right)} x^{4} + 10 \, {\left(a^{2} b^{6} c^{3} - 3 \, a^{3} b^{5} c^{2} d + 3 \, a^{4} b^{4} c d^{2} - a^{5} b^{3} d^{3}\right)} x^{3} + 10 \, {\left(a^{3} b^{5} c^{3} - 3 \, a^{4} b^{4} c^{2} d + 3 \, a^{5} b^{3} c d^{2} - a^{6} b^{2} d^{3}\right)} x^{2} + 5 \, {\left(a^{4} b^{4} c^{3} - 3 \, a^{5} b^{3} c^{2} d + 3 \, a^{6} b^{2} c d^{2} - a^{7} b d^{3}\right)} x\right)}}"," ",0,"-2/315*(8*b^2*d^4*x^4 + 35*b^2*c^4 - 90*a*b*c^3*d + 63*a^2*c^2*d^2 - 4*(b^2*c*d^3 - 9*a*b*d^4)*x^3 + 3*(b^2*c^2*d^2 - 6*a*b*c*d^3 + 21*a^2*d^4)*x^2 + 2*(25*b^2*c^3*d - 72*a*b*c^2*d^2 + 63*a^2*c*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^5*b^3*c^3 - 3*a^6*b^2*c^2*d + 3*a^7*b*c*d^2 - a^8*d^3 + (b^8*c^3 - 3*a*b^7*c^2*d + 3*a^2*b^6*c*d^2 - a^3*b^5*d^3)*x^5 + 5*(a*b^7*c^3 - 3*a^2*b^6*c^2*d + 3*a^3*b^5*c*d^2 - a^4*b^4*d^3)*x^4 + 10*(a^2*b^6*c^3 - 3*a^3*b^5*c^2*d + 3*a^4*b^4*c*d^2 - a^5*b^3*d^3)*x^3 + 10*(a^3*b^5*c^3 - 3*a^4*b^4*c^2*d + 3*a^5*b^3*c*d^2 - a^6*b^2*d^3)*x^2 + 5*(a^4*b^4*c^3 - 3*a^5*b^3*c^2*d + 3*a^6*b^2*c*d^2 - a^7*b*d^3)*x)","B",0
1480,1,649,0,28.364259," ","integrate((d*x+c)^(3/2)/(b*x+a)^(13/2),x, algorithm=""fricas"")","\frac{2 \, {\left(16 \, b^{3} d^{5} x^{5} - 105 \, b^{3} c^{5} + 385 \, a b^{2} c^{4} d - 495 \, a^{2} b c^{3} d^{2} + 231 \, a^{3} c^{2} d^{3} - 8 \, {\left(b^{3} c d^{4} - 11 \, a b^{2} d^{5}\right)} x^{4} + 2 \, {\left(3 \, b^{3} c^{2} d^{3} - 22 \, a b^{2} c d^{4} + 99 \, a^{2} b d^{5}\right)} x^{3} - {\left(5 \, b^{3} c^{3} d^{2} - 33 \, a b^{2} c^{2} d^{3} + 99 \, a^{2} b c d^{4} - 231 \, a^{3} d^{5}\right)} x^{2} - 2 \, {\left(70 \, b^{3} c^{4} d - 275 \, a b^{2} c^{3} d^{2} + 396 \, a^{2} b c^{2} d^{3} - 231 \, a^{3} c d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{1155 \, {\left(a^{6} b^{4} c^{4} - 4 \, a^{7} b^{3} c^{3} d + 6 \, a^{8} b^{2} c^{2} d^{2} - 4 \, a^{9} b c d^{3} + a^{10} d^{4} + {\left(b^{10} c^{4} - 4 \, a b^{9} c^{3} d + 6 \, a^{2} b^{8} c^{2} d^{2} - 4 \, a^{3} b^{7} c d^{3} + a^{4} b^{6} d^{4}\right)} x^{6} + 6 \, {\left(a b^{9} c^{4} - 4 \, a^{2} b^{8} c^{3} d + 6 \, a^{3} b^{7} c^{2} d^{2} - 4 \, a^{4} b^{6} c d^{3} + a^{5} b^{5} d^{4}\right)} x^{5} + 15 \, {\left(a^{2} b^{8} c^{4} - 4 \, a^{3} b^{7} c^{3} d + 6 \, a^{4} b^{6} c^{2} d^{2} - 4 \, a^{5} b^{5} c d^{3} + a^{6} b^{4} d^{4}\right)} x^{4} + 20 \, {\left(a^{3} b^{7} c^{4} - 4 \, a^{4} b^{6} c^{3} d + 6 \, a^{5} b^{5} c^{2} d^{2} - 4 \, a^{6} b^{4} c d^{3} + a^{7} b^{3} d^{4}\right)} x^{3} + 15 \, {\left(a^{4} b^{6} c^{4} - 4 \, a^{5} b^{5} c^{3} d + 6 \, a^{6} b^{4} c^{2} d^{2} - 4 \, a^{7} b^{3} c d^{3} + a^{8} b^{2} d^{4}\right)} x^{2} + 6 \, {\left(a^{5} b^{5} c^{4} - 4 \, a^{6} b^{4} c^{3} d + 6 \, a^{7} b^{3} c^{2} d^{2} - 4 \, a^{8} b^{2} c d^{3} + a^{9} b d^{4}\right)} x\right)}}"," ",0,"2/1155*(16*b^3*d^5*x^5 - 105*b^3*c^5 + 385*a*b^2*c^4*d - 495*a^2*b*c^3*d^2 + 231*a^3*c^2*d^3 - 8*(b^3*c*d^4 - 11*a*b^2*d^5)*x^4 + 2*(3*b^3*c^2*d^3 - 22*a*b^2*c*d^4 + 99*a^2*b*d^5)*x^3 - (5*b^3*c^3*d^2 - 33*a*b^2*c^2*d^3 + 99*a^2*b*c*d^4 - 231*a^3*d^5)*x^2 - 2*(70*b^3*c^4*d - 275*a*b^2*c^3*d^2 + 396*a^2*b*c^2*d^3 - 231*a^3*c*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^6*b^4*c^4 - 4*a^7*b^3*c^3*d + 6*a^8*b^2*c^2*d^2 - 4*a^9*b*c*d^3 + a^10*d^4 + (b^10*c^4 - 4*a*b^9*c^3*d + 6*a^2*b^8*c^2*d^2 - 4*a^3*b^7*c*d^3 + a^4*b^6*d^4)*x^6 + 6*(a*b^9*c^4 - 4*a^2*b^8*c^3*d + 6*a^3*b^7*c^2*d^2 - 4*a^4*b^6*c*d^3 + a^5*b^5*d^4)*x^5 + 15*(a^2*b^8*c^4 - 4*a^3*b^7*c^3*d + 6*a^4*b^6*c^2*d^2 - 4*a^5*b^5*c*d^3 + a^6*b^4*d^4)*x^4 + 20*(a^3*b^7*c^4 - 4*a^4*b^6*c^3*d + 6*a^5*b^5*c^2*d^2 - 4*a^6*b^4*c*d^3 + a^7*b^3*d^4)*x^3 + 15*(a^4*b^6*c^4 - 4*a^5*b^5*c^3*d + 6*a^6*b^4*c^2*d^2 - 4*a^7*b^3*c*d^3 + a^8*b^2*d^4)*x^2 + 6*(a^5*b^5*c^4 - 4*a^6*b^4*c^3*d + 6*a^7*b^3*c^2*d^2 - 4*a^8*b^2*c*d^3 + a^9*b*d^4)*x)","B",0
1481,1,882,0,1.425047," ","integrate((b*x+a)^(5/2)*(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}\right)} \sqrt{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) + 4 \, {\left(256 \, b^{6} d^{6} x^{5} + 15 \, b^{6} c^{5} d - 85 \, a b^{5} c^{4} d^{2} + 198 \, a^{2} b^{4} c^{3} d^{3} + 198 \, a^{3} b^{3} c^{2} d^{4} - 85 \, a^{4} b^{2} c d^{5} + 15 \, a^{5} b d^{6} + 640 \, {\left(b^{6} c d^{5} + a b^{5} d^{6}\right)} x^{4} + 16 \, {\left(27 \, b^{6} c^{2} d^{4} + 106 \, a b^{5} c d^{5} + 27 \, a^{2} b^{4} d^{6}\right)} x^{3} + 8 \, {\left(b^{6} c^{3} d^{3} + 159 \, a b^{5} c^{2} d^{4} + 159 \, a^{2} b^{4} c d^{5} + a^{3} b^{3} d^{6}\right)} x^{2} - 2 \, {\left(5 \, b^{6} c^{4} d^{2} - 28 \, a b^{5} c^{3} d^{3} - 594 \, a^{2} b^{4} c^{2} d^{4} - 28 \, a^{3} b^{3} c d^{5} + 5 \, a^{4} b^{2} d^{6}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{6144 \, b^{4} d^{4}}, \frac{15 \, {\left(b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}\right)} \sqrt{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) + 2 \, {\left(256 \, b^{6} d^{6} x^{5} + 15 \, b^{6} c^{5} d - 85 \, a b^{5} c^{4} d^{2} + 198 \, a^{2} b^{4} c^{3} d^{3} + 198 \, a^{3} b^{3} c^{2} d^{4} - 85 \, a^{4} b^{2} c d^{5} + 15 \, a^{5} b d^{6} + 640 \, {\left(b^{6} c d^{5} + a b^{5} d^{6}\right)} x^{4} + 16 \, {\left(27 \, b^{6} c^{2} d^{4} + 106 \, a b^{5} c d^{5} + 27 \, a^{2} b^{4} d^{6}\right)} x^{3} + 8 \, {\left(b^{6} c^{3} d^{3} + 159 \, a b^{5} c^{2} d^{4} + 159 \, a^{2} b^{4} c d^{5} + a^{3} b^{3} d^{6}\right)} x^{2} - 2 \, {\left(5 \, b^{6} c^{4} d^{2} - 28 \, a b^{5} c^{3} d^{3} - 594 \, a^{2} b^{4} c^{2} d^{4} - 28 \, a^{3} b^{3} c d^{5} + 5 \, a^{4} b^{2} d^{6}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{3072 \, b^{4} d^{4}}\right]"," ",0,"[1/6144*(15*(b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)*sqrt(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 - 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) + 4*(256*b^6*d^6*x^5 + 15*b^6*c^5*d - 85*a*b^5*c^4*d^2 + 198*a^2*b^4*c^3*d^3 + 198*a^3*b^3*c^2*d^4 - 85*a^4*b^2*c*d^5 + 15*a^5*b*d^6 + 640*(b^6*c*d^5 + a*b^5*d^6)*x^4 + 16*(27*b^6*c^2*d^4 + 106*a*b^5*c*d^5 + 27*a^2*b^4*d^6)*x^3 + 8*(b^6*c^3*d^3 + 159*a*b^5*c^2*d^4 + 159*a^2*b^4*c*d^5 + a^3*b^3*d^6)*x^2 - 2*(5*b^6*c^4*d^2 - 28*a*b^5*c^3*d^3 - 594*a^2*b^4*c^2*d^4 - 28*a^3*b^3*c*d^5 + 5*a^4*b^2*d^6)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^4*d^4), 1/3072*(15*(b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)*sqrt(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) + 2*(256*b^6*d^6*x^5 + 15*b^6*c^5*d - 85*a*b^5*c^4*d^2 + 198*a^2*b^4*c^3*d^3 + 198*a^3*b^3*c^2*d^4 - 85*a^4*b^2*c*d^5 + 15*a^5*b*d^6 + 640*(b^6*c*d^5 + a*b^5*d^6)*x^4 + 16*(27*b^6*c^2*d^4 + 106*a*b^5*c*d^5 + 27*a^2*b^4*d^6)*x^3 + 8*(b^6*c^3*d^3 + 159*a*b^5*c^2*d^4 + 159*a^2*b^4*c*d^5 + a^3*b^3*d^6)*x^2 - 2*(5*b^6*c^4*d^2 - 28*a*b^5*c^3*d^3 - 594*a^2*b^4*c^2*d^4 - 28*a^3*b^3*c*d^5 + 5*a^4*b^2*d^6)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^4*d^4)]","B",0
1482,1,702,0,0.893838," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\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{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(128 \, b^{5} d^{5} x^{4} - 15 \, b^{5} c^{4} d + 70 \, a b^{4} c^{3} d^{2} + 128 \, a^{2} b^{3} c^{2} d^{3} - 70 \, a^{3} b^{2} c d^{4} + 15 \, a^{4} b d^{5} + 16 \, {\left(21 \, b^{5} c d^{4} + 11 \, a b^{4} d^{5}\right)} x^{3} + 8 \, {\left(31 \, b^{5} c^{2} d^{3} + 64 \, a b^{4} c d^{4} + a^{2} b^{3} d^{5}\right)} x^{2} + 2 \, {\left(5 \, b^{5} c^{3} d^{2} + 233 \, a b^{4} c^{2} d^{3} + 23 \, a^{2} b^{3} c d^{4} - 5 \, a^{3} b^{2} d^{5}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{2560 \, b^{4} d^{3}}, -\frac{15 \, {\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{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) - 2 \, {\left(128 \, b^{5} d^{5} x^{4} - 15 \, b^{5} c^{4} d + 70 \, a b^{4} c^{3} d^{2} + 128 \, a^{2} b^{3} c^{2} d^{3} - 70 \, a^{3} b^{2} c d^{4} + 15 \, a^{4} b d^{5} + 16 \, {\left(21 \, b^{5} c d^{4} + 11 \, a b^{4} d^{5}\right)} x^{3} + 8 \, {\left(31 \, b^{5} c^{2} d^{3} + 64 \, a b^{4} c d^{4} + a^{2} b^{3} d^{5}\right)} x^{2} + 2 \, {\left(5 \, b^{5} c^{3} d^{2} + 233 \, a b^{4} c^{2} d^{3} + 23 \, a^{2} b^{3} c d^{4} - 5 \, a^{3} b^{2} d^{5}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{1280 \, b^{4} d^{3}}\right]"," ",0,"[-1/2560*(15*(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(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 - 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(128*b^5*d^5*x^4 - 15*b^5*c^4*d + 70*a*b^4*c^3*d^2 + 128*a^2*b^3*c^2*d^3 - 70*a^3*b^2*c*d^4 + 15*a^4*b*d^5 + 16*(21*b^5*c*d^4 + 11*a*b^4*d^5)*x^3 + 8*(31*b^5*c^2*d^3 + 64*a*b^4*c*d^4 + a^2*b^3*d^5)*x^2 + 2*(5*b^5*c^3*d^2 + 233*a*b^4*c^2*d^3 + 23*a^2*b^3*c*d^4 - 5*a^3*b^2*d^5)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^4*d^3), -1/1280*(15*(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(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) - 2*(128*b^5*d^5*x^4 - 15*b^5*c^4*d + 70*a*b^4*c^3*d^2 + 128*a^2*b^3*c^2*d^3 - 70*a^3*b^2*c*d^4 + 15*a^4*b*d^5 + 16*(21*b^5*c*d^4 + 11*a*b^4*d^5)*x^3 + 8*(31*b^5*c^2*d^3 + 64*a*b^4*c*d^4 + a^2*b^3*d^5)*x^2 + 2*(5*b^5*c^3*d^2 + 233*a*b^4*c^2*d^3 + 23*a^2*b^3*c*d^4 - 5*a^3*b^2*d^5)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^4*d^3)]","A",0
1483,1,540,0,1.300866," ","integrate((b*x+a)^(1/2)*(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\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{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) + 4 \, {\left(48 \, b^{4} d^{4} x^{3} + 15 \, b^{4} c^{3} d + 73 \, a b^{3} c^{2} d^{2} - 55 \, a^{2} b^{2} c d^{3} + 15 \, a^{3} b d^{4} + 8 \, {\left(17 \, b^{4} c d^{3} + a b^{3} d^{4}\right)} x^{2} + 2 \, {\left(59 \, b^{4} c^{2} d^{2} + 18 \, a b^{3} c d^{3} - 5 \, a^{2} b^{2} d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{768 \, b^{4} d^{2}}, \frac{15 \, {\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{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) + 2 \, {\left(48 \, b^{4} d^{4} x^{3} + 15 \, b^{4} c^{3} d + 73 \, a b^{3} c^{2} d^{2} - 55 \, a^{2} b^{2} c d^{3} + 15 \, a^{3} b d^{4} + 8 \, {\left(17 \, b^{4} c d^{3} + a b^{3} d^{4}\right)} x^{2} + 2 \, {\left(59 \, b^{4} c^{2} d^{2} + 18 \, a b^{3} c d^{3} - 5 \, a^{2} b^{2} d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{384 \, b^{4} d^{2}}\right]"," ",0,"[1/768*(15*(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(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 - 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) + 4*(48*b^4*d^4*x^3 + 15*b^4*c^3*d + 73*a*b^3*c^2*d^2 - 55*a^2*b^2*c*d^3 + 15*a^3*b*d^4 + 8*(17*b^4*c*d^3 + a*b^3*d^4)*x^2 + 2*(59*b^4*c^2*d^2 + 18*a*b^3*c*d^3 - 5*a^2*b^2*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^4*d^2), 1/384*(15*(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(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) + 2*(48*b^4*d^4*x^3 + 15*b^4*c^3*d + 73*a*b^3*c^2*d^2 - 55*a^2*b^2*c*d^3 + 15*a^3*b*d^4 + 8*(17*b^4*c*d^3 + a*b^3*d^4)*x^2 + 2*(59*b^4*c^2*d^2 + 18*a*b^3*c*d^3 - 5*a^2*b^2*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^4*d^2)]","A",0
1484,1,412,0,1.250122," ","integrate((d*x+c)^(5/2)/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\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{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(8 \, b^{3} d^{3} x^{2} + 33 \, b^{3} c^{2} d - 40 \, a b^{2} c d^{2} + 15 \, a^{2} b d^{3} + 2 \, {\left(13 \, b^{3} c d^{2} - 5 \, a b^{2} d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{96 \, b^{4} d}, -\frac{15 \, {\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{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) - 2 \, {\left(8 \, b^{3} d^{3} x^{2} + 33 \, b^{3} c^{2} d - 40 \, a b^{2} c d^{2} + 15 \, a^{2} b d^{3} + 2 \, {\left(13 \, b^{3} c d^{2} - 5 \, a b^{2} d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{48 \, b^{4} d}\right]"," ",0,"[-1/96*(15*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sqrt(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 - 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(8*b^3*d^3*x^2 + 33*b^3*c^2*d - 40*a*b^2*c*d^2 + 15*a^2*b*d^3 + 2*(13*b^3*c*d^2 - 5*a*b^2*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^4*d), -1/48*(15*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sqrt(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) - 2*(8*b^3*d^3*x^2 + 33*b^3*c^2*d - 40*a*b^2*c*d^2 + 15*a^2*b*d^3 + 2*(13*b^3*c*d^2 - 5*a*b^2*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^4*d)]","A",0
1485,1,439,0,1.422644," ","integrate((d*x+c)^(5/2)/(b*x+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(a b^{2} c^{2} - 2 \, a^{2} b c d + a^{3} d^{2} + {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} x\right)} \sqrt{\frac{d}{b}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b^{2} d x + b^{2} c + a b d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{d}{b}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) + 4 \, {\left(2 \, b^{2} d^{2} x^{2} - 8 \, b^{2} c^{2} + 25 \, a b c d - 15 \, a^{2} d^{2} + {\left(9 \, b^{2} c d - 5 \, a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{16 \, {\left(b^{4} x + a b^{3}\right)}}, -\frac{15 \, {\left(a b^{2} c^{2} - 2 \, a^{2} b c d + a^{3} d^{2} + {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} x\right)} \sqrt{-\frac{d}{b}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{d}{b}}}{2 \, {\left(b d^{2} x^{2} + a c d + {\left(b c d + a d^{2}\right)} x\right)}}\right) - 2 \, {\left(2 \, b^{2} d^{2} x^{2} - 8 \, b^{2} c^{2} + 25 \, a b c d - 15 \, a^{2} d^{2} + {\left(9 \, b^{2} c d - 5 \, a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{8 \, {\left(b^{4} x + a b^{3}\right)}}\right]"," ",0,"[1/16*(15*(a*b^2*c^2 - 2*a^2*b*c*d + a^3*d^2 + (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*x)*sqrt(d/b)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b^2*d*x + b^2*c + a*b*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(d/b) + 8*(b^2*c*d + a*b*d^2)*x) + 4*(2*b^2*d^2*x^2 - 8*b^2*c^2 + 25*a*b*c*d - 15*a^2*d^2 + (9*b^2*c*d - 5*a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^4*x + a*b^3), -1/8*(15*(a*b^2*c^2 - 2*a^2*b*c*d + a^3*d^2 + (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*x)*sqrt(-d/b)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-d/b)/(b*d^2*x^2 + a*c*d + (b*c*d + a*d^2)*x)) - 2*(2*b^2*d^2*x^2 - 8*b^2*c^2 + 25*a*b*c*d - 15*a^2*d^2 + (9*b^2*c*d - 5*a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^4*x + a*b^3)]","A",0
1486,1,475,0,1.933041," ","integrate((d*x+c)^(5/2)/(b*x+a)^(5/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(a^{2} b c d - a^{3} d^{2} + {\left(b^{3} c d - a b^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b^{2} c d - a^{2} b d^{2}\right)} x\right)} \sqrt{\frac{d}{b}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b^{2} d x + b^{2} c + a b d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{d}{b}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(3 \, b^{2} d^{2} x^{2} - 2 \, b^{2} c^{2} - 10 \, a b c d + 15 \, a^{2} d^{2} - 2 \, {\left(7 \, b^{2} c d - 10 \, a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{12 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}, -\frac{15 \, {\left(a^{2} b c d - a^{3} d^{2} + {\left(b^{3} c d - a b^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b^{2} c d - a^{2} b d^{2}\right)} x\right)} \sqrt{-\frac{d}{b}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{d}{b}}}{2 \, {\left(b d^{2} x^{2} + a c d + {\left(b c d + a d^{2}\right)} x\right)}}\right) - 2 \, {\left(3 \, b^{2} d^{2} x^{2} - 2 \, b^{2} c^{2} - 10 \, a b c d + 15 \, a^{2} d^{2} - 2 \, {\left(7 \, b^{2} c d - 10 \, a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{6 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}\right]"," ",0,"[-1/12*(15*(a^2*b*c*d - a^3*d^2 + (b^3*c*d - a*b^2*d^2)*x^2 + 2*(a*b^2*c*d - a^2*b*d^2)*x)*sqrt(d/b)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 - 4*(2*b^2*d*x + b^2*c + a*b*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(d/b) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(3*b^2*d^2*x^2 - 2*b^2*c^2 - 10*a*b*c*d + 15*a^2*d^2 - 2*(7*b^2*c*d - 10*a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3), -1/6*(15*(a^2*b*c*d - a^3*d^2 + (b^3*c*d - a*b^2*d^2)*x^2 + 2*(a*b^2*c*d - a^2*b*d^2)*x)*sqrt(-d/b)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-d/b)/(b*d^2*x^2 + a*c*d + (b*c*d + a*d^2)*x)) - 2*(3*b^2*d^2*x^2 - 2*b^2*c^2 - 10*a*b*c*d + 15*a^2*d^2 - 2*(7*b^2*c*d - 10*a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3)]","B",0
1487,1,463,0,2.685408," ","integrate((d*x+c)^(5/2)/(b*x+a)^(7/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{3} d^{2} x^{3} + 3 \, a b^{2} d^{2} x^{2} + 3 \, a^{2} b d^{2} x + a^{3} d^{2}\right)} \sqrt{\frac{d}{b}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b^{2} d x + b^{2} c + a b d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{d}{b}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(23 \, b^{2} d^{2} x^{2} + 3 \, b^{2} c^{2} + 5 \, a b c d + 15 \, a^{2} d^{2} + {\left(11 \, b^{2} c d + 35 \, a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{30 \, {\left(b^{6} x^{3} + 3 \, a b^{5} x^{2} + 3 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}, -\frac{15 \, {\left(b^{3} d^{2} x^{3} + 3 \, a b^{2} d^{2} x^{2} + 3 \, a^{2} b d^{2} x + a^{3} d^{2}\right)} \sqrt{-\frac{d}{b}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{d}{b}}}{2 \, {\left(b d^{2} x^{2} + a c d + {\left(b c d + a d^{2}\right)} x\right)}}\right) + 2 \, {\left(23 \, b^{2} d^{2} x^{2} + 3 \, b^{2} c^{2} + 5 \, a b c d + 15 \, a^{2} d^{2} + {\left(11 \, b^{2} c d + 35 \, a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{15 \, {\left(b^{6} x^{3} + 3 \, a b^{5} x^{2} + 3 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}\right]"," ",0,"[1/30*(15*(b^3*d^2*x^3 + 3*a*b^2*d^2*x^2 + 3*a^2*b*d^2*x + a^3*d^2)*sqrt(d/b)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b^2*d*x + b^2*c + a*b*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(d/b) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(23*b^2*d^2*x^2 + 3*b^2*c^2 + 5*a*b*c*d + 15*a^2*d^2 + (11*b^2*c*d + 35*a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^6*x^3 + 3*a*b^5*x^2 + 3*a^2*b^4*x + a^3*b^3), -1/15*(15*(b^3*d^2*x^3 + 3*a*b^2*d^2*x^2 + 3*a^2*b*d^2*x + a^3*d^2)*sqrt(-d/b)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-d/b)/(b*d^2*x^2 + a*c*d + (b*c*d + a*d^2)*x)) + 2*(23*b^2*d^2*x^2 + 3*b^2*c^2 + 5*a*b*c*d + 15*a^2*d^2 + (11*b^2*c*d + 35*a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b^6*x^3 + 3*a*b^5*x^2 + 3*a^2*b^4*x + a^3*b^3)]","B",0
1488,1,138,0,3.846886," ","integrate((d*x+c)^(5/2)/(b*x+a)^(9/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)} \sqrt{b x + a} \sqrt{d x + c}}{7 \, {\left(a^{4} b c - a^{5} d + {\left(b^{5} c - a b^{4} d\right)} x^{4} + 4 \, {\left(a b^{4} c - a^{2} b^{3} d\right)} x^{3} + 6 \, {\left(a^{2} b^{3} c - a^{3} b^{2} d\right)} x^{2} + 4 \, {\left(a^{3} b^{2} c - a^{4} b d\right)} x\right)}}"," ",0,"-2/7*(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)*sqrt(b*x + a)*sqrt(d*x + c)/(a^4*b*c - a^5*d + (b^5*c - a*b^4*d)*x^4 + 4*(a*b^4*c - a^2*b^3*d)*x^3 + 6*(a^2*b^3*c - a^3*b^2*d)*x^2 + 4*(a^3*b^2*c - a^4*b*d)*x)","B",0
1489,1,295,0,13.617001," ","integrate((d*x+c)^(5/2)/(b*x+a)^(11/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, b d^{4} x^{4} - 7 \, b c^{4} + 9 \, a c^{3} d - {\left(b c d^{3} - 9 \, a d^{4}\right)} x^{3} - 3 \, {\left(5 \, b c^{2} d^{2} - 9 \, a c d^{3}\right)} x^{2} - {\left(19 \, b c^{3} d - 27 \, a c^{2} d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{63 \, {\left(a^{5} b^{2} c^{2} - 2 \, a^{6} b c d + a^{7} d^{2} + {\left(b^{7} c^{2} - 2 \, a b^{6} c d + a^{2} b^{5} d^{2}\right)} x^{5} + 5 \, {\left(a b^{6} c^{2} - 2 \, a^{2} b^{5} c d + a^{3} b^{4} d^{2}\right)} x^{4} + 10 \, {\left(a^{2} b^{5} c^{2} - 2 \, a^{3} b^{4} c d + a^{4} b^{3} d^{2}\right)} x^{3} + 10 \, {\left(a^{3} b^{4} c^{2} - 2 \, a^{4} b^{3} c d + a^{5} b^{2} d^{2}\right)} x^{2} + 5 \, {\left(a^{4} b^{3} c^{2} - 2 \, a^{5} b^{2} c d + a^{6} b d^{2}\right)} x\right)}}"," ",0,"2/63*(2*b*d^4*x^4 - 7*b*c^4 + 9*a*c^3*d - (b*c*d^3 - 9*a*d^4)*x^3 - 3*(5*b*c^2*d^2 - 9*a*c*d^3)*x^2 - (19*b*c^3*d - 27*a*c^2*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^5*b^2*c^2 - 2*a^6*b*c*d + a^7*d^2 + (b^7*c^2 - 2*a*b^6*c*d + a^2*b^5*d^2)*x^5 + 5*(a*b^6*c^2 - 2*a^2*b^5*c*d + a^3*b^4*d^2)*x^4 + 10*(a^2*b^5*c^2 - 2*a^3*b^4*c*d + a^4*b^3*d^2)*x^3 + 10*(a^3*b^4*c^2 - 2*a^4*b^3*c*d + a^5*b^2*d^2)*x^2 + 5*(a^4*b^3*c^2 - 2*a^5*b^2*c*d + a^6*b*d^2)*x)","B",0
1490,1,513,0,31.125896," ","integrate((d*x+c)^(5/2)/(b*x+a)^(13/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(8 \, b^{2} d^{5} x^{5} + 63 \, b^{2} c^{5} - 154 \, a b c^{4} d + 99 \, a^{2} c^{3} d^{2} - 4 \, {\left(b^{2} c d^{4} - 11 \, a b d^{5}\right)} x^{4} + {\left(3 \, b^{2} c^{2} d^{3} - 22 \, a b c d^{4} + 99 \, a^{2} d^{5}\right)} x^{3} + {\left(113 \, b^{2} c^{3} d^{2} - 330 \, a b c^{2} d^{3} + 297 \, a^{2} c d^{4}\right)} x^{2} + {\left(161 \, b^{2} c^{4} d - 418 \, a b c^{3} d^{2} + 297 \, a^{2} c^{2} d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{693 \, {\left(a^{6} b^{3} c^{3} - 3 \, a^{7} b^{2} c^{2} d + 3 \, a^{8} b c d^{2} - a^{9} d^{3} + {\left(b^{9} c^{3} - 3 \, a b^{8} c^{2} d + 3 \, a^{2} b^{7} c d^{2} - a^{3} b^{6} d^{3}\right)} x^{6} + 6 \, {\left(a b^{8} c^{3} - 3 \, a^{2} b^{7} c^{2} d + 3 \, a^{3} b^{6} c d^{2} - a^{4} b^{5} d^{3}\right)} x^{5} + 15 \, {\left(a^{2} b^{7} c^{3} - 3 \, a^{3} b^{6} c^{2} d + 3 \, a^{4} b^{5} c d^{2} - a^{5} b^{4} d^{3}\right)} x^{4} + 20 \, {\left(a^{3} b^{6} c^{3} - 3 \, a^{4} b^{5} c^{2} d + 3 \, a^{5} b^{4} c d^{2} - a^{6} b^{3} d^{3}\right)} x^{3} + 15 \, {\left(a^{4} b^{5} c^{3} - 3 \, a^{5} b^{4} c^{2} d + 3 \, a^{6} b^{3} c d^{2} - a^{7} b^{2} d^{3}\right)} x^{2} + 6 \, {\left(a^{5} b^{4} c^{3} - 3 \, a^{6} b^{3} c^{2} d + 3 \, a^{7} b^{2} c d^{2} - a^{8} b d^{3}\right)} x\right)}}"," ",0,"-2/693*(8*b^2*d^5*x^5 + 63*b^2*c^5 - 154*a*b*c^4*d + 99*a^2*c^3*d^2 - 4*(b^2*c*d^4 - 11*a*b*d^5)*x^4 + (3*b^2*c^2*d^3 - 22*a*b*c*d^4 + 99*a^2*d^5)*x^3 + (113*b^2*c^3*d^2 - 330*a*b*c^2*d^3 + 297*a^2*c*d^4)*x^2 + (161*b^2*c^4*d - 418*a*b*c^3*d^2 + 297*a^2*c^2*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^6*b^3*c^3 - 3*a^7*b^2*c^2*d + 3*a^8*b*c*d^2 - a^9*d^3 + (b^9*c^3 - 3*a*b^8*c^2*d + 3*a^2*b^7*c*d^2 - a^3*b^6*d^3)*x^6 + 6*(a*b^8*c^3 - 3*a^2*b^7*c^2*d + 3*a^3*b^6*c*d^2 - a^4*b^5*d^3)*x^5 + 15*(a^2*b^7*c^3 - 3*a^3*b^6*c^2*d + 3*a^4*b^5*c*d^2 - a^5*b^4*d^3)*x^4 + 20*(a^3*b^6*c^3 - 3*a^4*b^5*c^2*d + 3*a^5*b^4*c*d^2 - a^6*b^3*d^3)*x^3 + 15*(a^4*b^5*c^3 - 3*a^5*b^4*c^2*d + 3*a^6*b^3*c*d^2 - a^7*b^2*d^3)*x^2 + 6*(a^5*b^4*c^3 - 3*a^6*b^3*c^2*d + 3*a^7*b^2*c*d^2 - a^8*b*d^3)*x)","B",0
1491,1,765,0,55.758913," ","integrate((d*x+c)^(5/2)/(b*x+a)^(15/2),x, algorithm=""fricas"")","\frac{2 \, {\left(16 \, b^{3} d^{6} x^{6} - 231 \, b^{3} c^{6} + 819 \, a b^{2} c^{5} d - 1001 \, a^{2} b c^{4} d^{2} + 429 \, a^{3} c^{3} d^{3} - 8 \, {\left(b^{3} c d^{5} - 13 \, a b^{2} d^{6}\right)} x^{5} + 2 \, {\left(3 \, b^{3} c^{2} d^{4} - 26 \, a b^{2} c d^{5} + 143 \, a^{2} b d^{6}\right)} x^{4} - {\left(5 \, b^{3} c^{3} d^{3} - 39 \, a b^{2} c^{2} d^{4} + 143 \, a^{2} b c d^{5} - 429 \, a^{3} d^{6}\right)} x^{3} - {\left(371 \, b^{3} c^{4} d^{2} - 1469 \, a b^{2} c^{3} d^{3} + 2145 \, a^{2} b c^{2} d^{4} - 1287 \, a^{3} c d^{5}\right)} x^{2} - {\left(567 \, b^{3} c^{5} d - 2093 \, a b^{2} c^{4} d^{2} + 2717 \, a^{2} b c^{3} d^{3} - 1287 \, a^{3} c^{2} d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{3003 \, {\left(a^{7} b^{4} c^{4} - 4 \, a^{8} b^{3} c^{3} d + 6 \, a^{9} b^{2} c^{2} d^{2} - 4 \, a^{10} b c d^{3} + a^{11} d^{4} + {\left(b^{11} c^{4} - 4 \, a b^{10} c^{3} d + 6 \, a^{2} b^{9} c^{2} d^{2} - 4 \, a^{3} b^{8} c d^{3} + a^{4} b^{7} d^{4}\right)} x^{7} + 7 \, {\left(a b^{10} c^{4} - 4 \, a^{2} b^{9} c^{3} d + 6 \, a^{3} b^{8} c^{2} d^{2} - 4 \, a^{4} b^{7} c d^{3} + a^{5} b^{6} d^{4}\right)} x^{6} + 21 \, {\left(a^{2} b^{9} c^{4} - 4 \, a^{3} b^{8} c^{3} d + 6 \, a^{4} b^{7} c^{2} d^{2} - 4 \, a^{5} b^{6} c d^{3} + a^{6} b^{5} d^{4}\right)} x^{5} + 35 \, {\left(a^{3} b^{8} c^{4} - 4 \, a^{4} b^{7} c^{3} d + 6 \, a^{5} b^{6} c^{2} d^{2} - 4 \, a^{6} b^{5} c d^{3} + a^{7} b^{4} d^{4}\right)} x^{4} + 35 \, {\left(a^{4} b^{7} c^{4} - 4 \, a^{5} b^{6} c^{3} d + 6 \, a^{6} b^{5} c^{2} d^{2} - 4 \, a^{7} b^{4} c d^{3} + a^{8} b^{3} d^{4}\right)} x^{3} + 21 \, {\left(a^{5} b^{6} c^{4} - 4 \, a^{6} b^{5} c^{3} d + 6 \, a^{7} b^{4} c^{2} d^{2} - 4 \, a^{8} b^{3} c d^{3} + a^{9} b^{2} d^{4}\right)} x^{2} + 7 \, {\left(a^{6} b^{5} c^{4} - 4 \, a^{7} b^{4} c^{3} d + 6 \, a^{8} b^{3} c^{2} d^{2} - 4 \, a^{9} b^{2} c d^{3} + a^{10} b d^{4}\right)} x\right)}}"," ",0,"2/3003*(16*b^3*d^6*x^6 - 231*b^3*c^6 + 819*a*b^2*c^5*d - 1001*a^2*b*c^4*d^2 + 429*a^3*c^3*d^3 - 8*(b^3*c*d^5 - 13*a*b^2*d^6)*x^5 + 2*(3*b^3*c^2*d^4 - 26*a*b^2*c*d^5 + 143*a^2*b*d^6)*x^4 - (5*b^3*c^3*d^3 - 39*a*b^2*c^2*d^4 + 143*a^2*b*c*d^5 - 429*a^3*d^6)*x^3 - (371*b^3*c^4*d^2 - 1469*a*b^2*c^3*d^3 + 2145*a^2*b*c^2*d^4 - 1287*a^3*c*d^5)*x^2 - (567*b^3*c^5*d - 2093*a*b^2*c^4*d^2 + 2717*a^2*b*c^3*d^3 - 1287*a^3*c^2*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^7*b^4*c^4 - 4*a^8*b^3*c^3*d + 6*a^9*b^2*c^2*d^2 - 4*a^10*b*c*d^3 + a^11*d^4 + (b^11*c^4 - 4*a*b^10*c^3*d + 6*a^2*b^9*c^2*d^2 - 4*a^3*b^8*c*d^3 + a^4*b^7*d^4)*x^7 + 7*(a*b^10*c^4 - 4*a^2*b^9*c^3*d + 6*a^3*b^8*c^2*d^2 - 4*a^4*b^7*c*d^3 + a^5*b^6*d^4)*x^6 + 21*(a^2*b^9*c^4 - 4*a^3*b^8*c^3*d + 6*a^4*b^7*c^2*d^2 - 4*a^5*b^6*c*d^3 + a^6*b^5*d^4)*x^5 + 35*(a^3*b^8*c^4 - 4*a^4*b^7*c^3*d + 6*a^5*b^6*c^2*d^2 - 4*a^6*b^5*c*d^3 + a^7*b^4*d^4)*x^4 + 35*(a^4*b^7*c^4 - 4*a^5*b^6*c^3*d + 6*a^6*b^5*c^2*d^2 - 4*a^7*b^4*c*d^3 + a^8*b^3*d^4)*x^3 + 21*(a^5*b^6*c^4 - 4*a^6*b^5*c^3*d + 6*a^7*b^4*c^2*d^2 - 4*a^8*b^3*c*d^3 + a^9*b^2*d^4)*x^2 + 7*(a^6*b^5*c^4 - 4*a^7*b^4*c^3*d + 6*a^8*b^3*c^2*d^2 - 4*a^9*b^2*c*d^3 + a^10*b*d^4)*x)","B",0
1492,1,542,0,1.098720," ","integrate((b*x+a)^(7/2)/(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{105 \, {\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{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) + 4 \, {\left(48 \, b^{4} d^{4} x^{3} - 105 \, b^{4} c^{3} d + 385 \, a b^{3} c^{2} d^{2} - 511 \, a^{2} b^{2} c d^{3} + 279 \, a^{3} b d^{4} - 8 \, {\left(7 \, b^{4} c d^{3} - 25 \, a b^{3} d^{4}\right)} x^{2} + 2 \, {\left(35 \, b^{4} c^{2} d^{2} - 126 \, a b^{3} c d^{3} + 163 \, a^{2} b^{2} d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{768 \, b d^{5}}, -\frac{105 \, {\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{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) - 2 \, {\left(48 \, b^{4} d^{4} x^{3} - 105 \, b^{4} c^{3} d + 385 \, a b^{3} c^{2} d^{2} - 511 \, a^{2} b^{2} c d^{3} + 279 \, a^{3} b d^{4} - 8 \, {\left(7 \, b^{4} c d^{3} - 25 \, a b^{3} d^{4}\right)} x^{2} + 2 \, {\left(35 \, b^{4} c^{2} d^{2} - 126 \, a b^{3} c d^{3} + 163 \, a^{2} b^{2} d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{384 \, b d^{5}}\right]"," ",0,"[1/768*(105*(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(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) + 4*(48*b^4*d^4*x^3 - 105*b^4*c^3*d + 385*a*b^3*c^2*d^2 - 511*a^2*b^2*c*d^3 + 279*a^3*b*d^4 - 8*(7*b^4*c*d^3 - 25*a*b^3*d^4)*x^2 + 2*(35*b^4*c^2*d^2 - 126*a*b^3*c*d^3 + 163*a^2*b^2*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b*d^5), -1/384*(105*(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(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) - 2*(48*b^4*d^4*x^3 - 105*b^4*c^3*d + 385*a*b^3*c^2*d^2 - 511*a^2*b^2*c*d^3 + 279*a^3*b*d^4 - 8*(7*b^4*c*d^3 - 25*a*b^3*d^4)*x^2 + 2*(35*b^4*c^2*d^2 - 126*a*b^3*c*d^3 + 163*a^2*b^2*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b*d^5)]","A",0
1493,1,412,0,1.016958," ","integrate((b*x+a)^(5/2)/(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\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{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(8 \, b^{3} d^{3} x^{2} + 15 \, b^{3} c^{2} d - 40 \, a b^{2} c d^{2} + 33 \, a^{2} b d^{3} - 2 \, {\left(5 \, b^{3} c d^{2} - 13 \, a b^{2} d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{96 \, b d^{4}}, \frac{15 \, {\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{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) + 2 \, {\left(8 \, b^{3} d^{3} x^{2} + 15 \, b^{3} c^{2} d - 40 \, a b^{2} c d^{2} + 33 \, a^{2} b d^{3} - 2 \, {\left(5 \, b^{3} c d^{2} - 13 \, a b^{2} d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{48 \, b d^{4}}\right]"," ",0,"[-1/96*(15*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sqrt(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(8*b^3*d^3*x^2 + 15*b^3*c^2*d - 40*a*b^2*c*d^2 + 33*a^2*b*d^3 - 2*(5*b^3*c*d^2 - 13*a*b^2*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b*d^4), 1/48*(15*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sqrt(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) + 2*(8*b^3*d^3*x^2 + 15*b^3*c^2*d - 40*a*b^2*c*d^2 + 33*a^2*b*d^3 - 2*(5*b^3*c*d^2 - 13*a*b^2*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(b*d^4)]","A",0
1494,1,306,0,1.362343," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) + 4 \, {\left(2 \, b^{2} d^{2} x - 3 \, b^{2} c d + 5 \, a b d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c}}{16 \, b d^{3}}, -\frac{3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) - 2 \, {\left(2 \, b^{2} d^{2} x - 3 \, b^{2} c d + 5 \, a b d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c}}{8 \, b d^{3}}\right]"," ",0,"[1/16*(3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) + 4*(2*b^2*d^2*x - 3*b^2*c*d + 5*a*b*d^2)*sqrt(b*x + a)*sqrt(d*x + c))/(b*d^3), -1/8*(3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) - 2*(2*b^2*d^2*x - 3*b^2*c*d + 5*a*b*d^2)*sqrt(b*x + a)*sqrt(d*x + c))/(b*d^3)]","A",0
1495,1,235,0,0.767523," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{4 \, \sqrt{b x + a} \sqrt{d x + c} b d - {\left(b c - a d\right)} \sqrt{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right)}{4 \, b d^{2}}, \frac{2 \, \sqrt{b x + a} \sqrt{d x + c} b d + {\left(b c - a d\right)} \sqrt{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right)}{2 \, b d^{2}}\right]"," ",0,"[1/4*(4*sqrt(b*x + a)*sqrt(d*x + c)*b*d - (b*c - a*d)*sqrt(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x))/(b*d^2), 1/2*(2*sqrt(b*x + a)*sqrt(d*x + c)*b*d + (b*c - a*d)*sqrt(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)))/(b*d^2)]","A",0
1496,1,178,0,1.109849," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right)}{2 \, b d}, -\frac{\sqrt{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right)}{b d}\right]"," ",0,"[1/2*sqrt(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x)/(b*d), -sqrt(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x))/(b*d)]","B",0
1497,1,42,0,0.916088," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b x + a} \sqrt{d x + c}}{a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x}"," ",0,"-2*sqrt(b*x + a)*sqrt(d*x + c)/(a*b*c - a^2*d + (b^2*c - a*b*d)*x)","A",0
1498,1,118,0,0.915620," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, b d x - b c + 3 \, a d\right)} \sqrt{b x + a} \sqrt{d x + c}}{3 \, {\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,"2/3*(2*b*d*x - b*c + 3*a*d)*sqrt(b*x + a)*sqrt(d*x + c)/(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
1499,1,251,0,1.315047," ","integrate(1/(b*x+a)^(7/2)/(d*x+c)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(8 \, b^{2} d^{2} x^{2} + 3 \, b^{2} c^{2} - 10 \, a b c d + 15 \, a^{2} d^{2} - 4 \, {\left(b^{2} c d - 5 \, a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{15 \, {\left(a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3} + {\left(b^{6} c^{3} - 3 \, a b^{5} c^{2} d + 3 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} x^{3} + 3 \, {\left(a b^{5} c^{3} - 3 \, a^{2} b^{4} c^{2} d + 3 \, a^{3} b^{3} c d^{2} - a^{4} b^{2} d^{3}\right)} x^{2} + 3 \, {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{3} c^{2} d + 3 \, a^{4} b^{2} c d^{2} - a^{5} b d^{3}\right)} x\right)}}"," ",0,"-2/15*(8*b^2*d^2*x^2 + 3*b^2*c^2 - 10*a*b*c*d + 15*a^2*d^2 - 4*(b^2*c*d - 5*a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3 + (b^6*c^3 - 3*a*b^5*c^2*d + 3*a^2*b^4*c*d^2 - a^3*b^3*d^3)*x^3 + 3*(a*b^5*c^3 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 - a^4*b^2*d^3)*x^2 + 3*(a^2*b^4*c^3 - 3*a^3*b^3*c^2*d + 3*a^4*b^2*c*d^2 - a^5*b*d^3)*x)","B",0
1500,1,419,0,2.891100," ","integrate(1/(b*x+a)^(9/2)/(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(16 \, b^{3} d^{3} x^{3} - 5 \, b^{3} c^{3} + 21 \, a b^{2} c^{2} d - 35 \, a^{2} b c d^{2} + 35 \, a^{3} d^{3} - 8 \, {\left(b^{3} c d^{2} - 7 \, a b^{2} d^{3}\right)} x^{2} + 2 \, {\left(3 \, b^{3} c^{2} d - 14 \, a b^{2} c d^{2} + 35 \, a^{2} b d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{35 \, {\left(a^{4} b^{4} c^{4} - 4 \, a^{5} b^{3} c^{3} d + 6 \, a^{6} b^{2} c^{2} d^{2} - 4 \, a^{7} b c d^{3} + a^{8} d^{4} + {\left(b^{8} c^{4} - 4 \, a b^{7} c^{3} d + 6 \, a^{2} b^{6} c^{2} d^{2} - 4 \, a^{3} b^{5} c d^{3} + a^{4} b^{4} d^{4}\right)} x^{4} + 4 \, {\left(a b^{7} c^{4} - 4 \, a^{2} b^{6} c^{3} d + 6 \, a^{3} b^{5} c^{2} d^{2} - 4 \, a^{4} b^{4} c d^{3} + a^{5} b^{3} d^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{6} c^{4} - 4 \, a^{3} b^{5} c^{3} d + 6 \, a^{4} b^{4} c^{2} d^{2} - 4 \, a^{5} b^{3} c d^{3} + a^{6} b^{2} d^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{5} c^{4} - 4 \, a^{4} b^{4} c^{3} d + 6 \, a^{5} b^{3} c^{2} d^{2} - 4 \, a^{6} b^{2} c d^{3} + a^{7} b d^{4}\right)} x\right)}}"," ",0,"2/35*(16*b^3*d^3*x^3 - 5*b^3*c^3 + 21*a*b^2*c^2*d - 35*a^2*b*c*d^2 + 35*a^3*d^3 - 8*(b^3*c*d^2 - 7*a*b^2*d^3)*x^2 + 2*(3*b^3*c^2*d - 14*a*b^2*c*d^2 + 35*a^2*b*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^4*b^4*c^4 - 4*a^5*b^3*c^3*d + 6*a^6*b^2*c^2*d^2 - 4*a^7*b*c*d^3 + a^8*d^4 + (b^8*c^4 - 4*a*b^7*c^3*d + 6*a^2*b^6*c^2*d^2 - 4*a^3*b^5*c*d^3 + a^4*b^4*d^4)*x^4 + 4*(a*b^7*c^4 - 4*a^2*b^6*c^3*d + 6*a^3*b^5*c^2*d^2 - 4*a^4*b^4*c*d^3 + a^5*b^3*d^4)*x^3 + 6*(a^2*b^6*c^4 - 4*a^3*b^5*c^3*d + 6*a^4*b^4*c^2*d^2 - 4*a^5*b^3*c*d^3 + a^6*b^2*d^4)*x^2 + 4*(a^3*b^5*c^4 - 4*a^4*b^4*c^3*d + 6*a^5*b^3*c^2*d^2 - 4*a^6*b^2*c*d^3 + a^7*b*d^4)*x)","B",0
1501,1,638,0,11.399662," ","integrate(1/(b*x+a)^(11/2)/(d*x+c)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(128 \, b^{4} d^{4} x^{4} + 35 \, b^{4} c^{4} - 180 \, a b^{3} c^{3} d + 378 \, a^{2} b^{2} c^{2} d^{2} - 420 \, a^{3} b c d^{3} + 315 \, a^{4} d^{4} - 64 \, {\left(b^{4} c d^{3} - 9 \, a b^{3} d^{4}\right)} x^{3} + 48 \, {\left(b^{4} c^{2} d^{2} - 6 \, a b^{3} c d^{3} + 21 \, a^{2} b^{2} d^{4}\right)} x^{2} - 8 \, {\left(5 \, b^{4} c^{3} d - 27 \, a b^{3} c^{2} d^{2} + 63 \, a^{2} b^{2} c d^{3} - 105 \, a^{3} b d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{315 \, {\left(a^{5} b^{5} c^{5} - 5 \, a^{6} b^{4} c^{4} d + 10 \, a^{7} b^{3} c^{3} d^{2} - 10 \, a^{8} b^{2} c^{2} d^{3} + 5 \, a^{9} b c d^{4} - a^{10} d^{5} + {\left(b^{10} c^{5} - 5 \, a b^{9} c^{4} d + 10 \, a^{2} b^{8} c^{3} d^{2} - 10 \, a^{3} b^{7} c^{2} d^{3} + 5 \, a^{4} b^{6} c d^{4} - a^{5} b^{5} d^{5}\right)} x^{5} + 5 \, {\left(a b^{9} c^{5} - 5 \, a^{2} b^{8} c^{4} d + 10 \, a^{3} b^{7} c^{3} d^{2} - 10 \, a^{4} b^{6} c^{2} d^{3} + 5 \, a^{5} b^{5} c d^{4} - a^{6} b^{4} d^{5}\right)} x^{4} + 10 \, {\left(a^{2} b^{8} c^{5} - 5 \, a^{3} b^{7} c^{4} d + 10 \, a^{4} b^{6} c^{3} d^{2} - 10 \, a^{5} b^{5} c^{2} d^{3} + 5 \, a^{6} b^{4} c d^{4} - a^{7} b^{3} d^{5}\right)} x^{3} + 10 \, {\left(a^{3} b^{7} c^{5} - 5 \, a^{4} b^{6} c^{4} d + 10 \, a^{5} b^{5} c^{3} d^{2} - 10 \, a^{6} b^{4} c^{2} d^{3} + 5 \, a^{7} b^{3} c d^{4} - a^{8} b^{2} d^{5}\right)} x^{2} + 5 \, {\left(a^{4} b^{6} c^{5} - 5 \, a^{5} b^{5} c^{4} d + 10 \, a^{6} b^{4} c^{3} d^{2} - 10 \, a^{7} b^{3} c^{2} d^{3} + 5 \, a^{8} b^{2} c d^{4} - a^{9} b d^{5}\right)} x\right)}}"," ",0,"-2/315*(128*b^4*d^4*x^4 + 35*b^4*c^4 - 180*a*b^3*c^3*d + 378*a^2*b^2*c^2*d^2 - 420*a^3*b*c*d^3 + 315*a^4*d^4 - 64*(b^4*c*d^3 - 9*a*b^3*d^4)*x^3 + 48*(b^4*c^2*d^2 - 6*a*b^3*c*d^3 + 21*a^2*b^2*d^4)*x^2 - 8*(5*b^4*c^3*d - 27*a*b^3*c^2*d^2 + 63*a^2*b^2*c*d^3 - 105*a^3*b*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^5*b^5*c^5 - 5*a^6*b^4*c^4*d + 10*a^7*b^3*c^3*d^2 - 10*a^8*b^2*c^2*d^3 + 5*a^9*b*c*d^4 - a^10*d^5 + (b^10*c^5 - 5*a*b^9*c^4*d + 10*a^2*b^8*c^3*d^2 - 10*a^3*b^7*c^2*d^3 + 5*a^4*b^6*c*d^4 - a^5*b^5*d^5)*x^5 + 5*(a*b^9*c^5 - 5*a^2*b^8*c^4*d + 10*a^3*b^7*c^3*d^2 - 10*a^4*b^6*c^2*d^3 + 5*a^5*b^5*c*d^4 - a^6*b^4*d^5)*x^4 + 10*(a^2*b^8*c^5 - 5*a^3*b^7*c^4*d + 10*a^4*b^6*c^3*d^2 - 10*a^5*b^5*c^2*d^3 + 5*a^6*b^4*c*d^4 - a^7*b^3*d^5)*x^3 + 10*(a^3*b^7*c^5 - 5*a^4*b^6*c^4*d + 10*a^5*b^5*c^3*d^2 - 10*a^6*b^4*c^2*d^3 + 5*a^7*b^3*c*d^4 - a^8*b^2*d^5)*x^2 + 5*(a^4*b^6*c^5 - 5*a^5*b^5*c^4*d + 10*a^6*b^4*c^3*d^2 - 10*a^7*b^3*c^2*d^3 + 5*a^8*b^2*c*d^4 - a^9*b*d^5)*x)","B",0
1502,1,603,0,1.732247," ","integrate((b*x+a)^(7/2)/(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[-\frac{105 \, {\left(b^{3} c^{4} - 3 \, a b^{2} c^{3} d + 3 \, a^{2} b c^{2} d^{2} - a^{3} c d^{3} + {\left(b^{3} c^{3} d - 3 \, a b^{2} c^{2} d^{2} + 3 \, a^{2} b c d^{3} - a^{3} d^{4}\right)} x\right)} \sqrt{\frac{b}{d}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d^{2} x + b c d + a d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{b}{d}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(8 \, b^{3} d^{3} x^{3} + 105 \, b^{3} c^{3} - 280 \, a b^{2} c^{2} d + 231 \, a^{2} b c d^{2} - 48 \, a^{3} d^{3} - 2 \, {\left(7 \, b^{3} c d^{2} - 19 \, a b^{2} d^{3}\right)} x^{2} + {\left(35 \, b^{3} c^{2} d - 98 \, a b^{2} c d^{2} + 87 \, a^{2} b d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{96 \, {\left(d^{5} x + c d^{4}\right)}}, \frac{105 \, {\left(b^{3} c^{4} - 3 \, a b^{2} c^{3} d + 3 \, a^{2} b c^{2} d^{2} - a^{3} c d^{3} + {\left(b^{3} c^{3} d - 3 \, a b^{2} c^{2} d^{2} + 3 \, a^{2} b c d^{3} - a^{3} d^{4}\right)} x\right)} \sqrt{-\frac{b}{d}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{b}{d}}}{2 \, {\left(b^{2} d x^{2} + a b c + {\left(b^{2} c + a b d\right)} x\right)}}\right) + 2 \, {\left(8 \, b^{3} d^{3} x^{3} + 105 \, b^{3} c^{3} - 280 \, a b^{2} c^{2} d + 231 \, a^{2} b c d^{2} - 48 \, a^{3} d^{3} - 2 \, {\left(7 \, b^{3} c d^{2} - 19 \, a b^{2} d^{3}\right)} x^{2} + {\left(35 \, b^{3} c^{2} d - 98 \, a b^{2} c d^{2} + 87 \, a^{2} b d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{48 \, {\left(d^{5} x + c d^{4}\right)}}\right]"," ",0,"[-1/96*(105*(b^3*c^4 - 3*a*b^2*c^3*d + 3*a^2*b*c^2*d^2 - a^3*c*d^3 + (b^3*c^3*d - 3*a*b^2*c^2*d^2 + 3*a^2*b*c*d^3 - a^3*d^4)*x)*sqrt(b/d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d^2*x + b*c*d + a*d^2)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(b/d) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(8*b^3*d^3*x^3 + 105*b^3*c^3 - 280*a*b^2*c^2*d + 231*a^2*b*c*d^2 - 48*a^3*d^3 - 2*(7*b^3*c*d^2 - 19*a*b^2*d^3)*x^2 + (35*b^3*c^2*d - 98*a*b^2*c*d^2 + 87*a^2*b*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(d^5*x + c*d^4), 1/48*(105*(b^3*c^4 - 3*a*b^2*c^3*d + 3*a^2*b*c^2*d^2 - a^3*c*d^3 + (b^3*c^3*d - 3*a*b^2*c^2*d^2 + 3*a^2*b*c*d^3 - a^3*d^4)*x)*sqrt(-b/d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-b/d)/(b^2*d*x^2 + a*b*c + (b^2*c + a*b*d)*x)) + 2*(8*b^3*d^3*x^3 + 105*b^3*c^3 - 280*a*b^2*c^2*d + 231*a^2*b*c*d^2 - 48*a^3*d^3 - 2*(7*b^3*c*d^2 - 19*a*b^2*d^3)*x^2 + (35*b^3*c^2*d - 98*a*b^2*c*d^2 + 87*a^2*b*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(d^5*x + c*d^4)]","B",0
1503,1,441,0,1.504961," ","integrate((b*x+a)^(5/2)/(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2} + {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} x\right)} \sqrt{\frac{b}{d}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d^{2} x + b c d + a d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{b}{d}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) + 4 \, {\left(2 \, b^{2} d^{2} x^{2} - 15 \, b^{2} c^{2} + 25 \, a b c d - 8 \, a^{2} d^{2} - {\left(5 \, b^{2} c d - 9 \, a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{16 \, {\left(d^{4} x + c d^{3}\right)}}, -\frac{15 \, {\left(b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2} + {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} x\right)} \sqrt{-\frac{b}{d}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{b}{d}}}{2 \, {\left(b^{2} d x^{2} + a b c + {\left(b^{2} c + a b d\right)} x\right)}}\right) - 2 \, {\left(2 \, b^{2} d^{2} x^{2} - 15 \, b^{2} c^{2} + 25 \, a b c d - 8 \, a^{2} d^{2} - {\left(5 \, b^{2} c d - 9 \, a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{8 \, {\left(d^{4} x + c d^{3}\right)}}\right]"," ",0,"[1/16*(15*(b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2 + (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*x)*sqrt(b/d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d^2*x + b*c*d + a*d^2)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(b/d) + 8*(b^2*c*d + a*b*d^2)*x) + 4*(2*b^2*d^2*x^2 - 15*b^2*c^2 + 25*a*b*c*d - 8*a^2*d^2 - (5*b^2*c*d - 9*a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(d^4*x + c*d^3), -1/8*(15*(b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2 + (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*x)*sqrt(-b/d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-b/d)/(b^2*d*x^2 + a*b*c + (b^2*c + a*b*d)*x)) - 2*(2*b^2*d^2*x^2 - 15*b^2*c^2 + 25*a*b*c*d - 8*a^2*d^2 - (5*b^2*c*d - 9*a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(d^4*x + c*d^3)]","A",0
1504,1,311,0,1.048105," ","integrate((b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x\right)} \sqrt{\frac{b}{d}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d^{2} x + b c d + a d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{b}{d}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(b d x + 3 \, b c - 2 \, a d\right)} \sqrt{b x + a} \sqrt{d x + c}}{4 \, {\left(d^{3} x + c d^{2}\right)}}, \frac{3 \, {\left(b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x\right)} \sqrt{-\frac{b}{d}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{b}{d}}}{2 \, {\left(b^{2} d x^{2} + a b c + {\left(b^{2} c + a b d\right)} x\right)}}\right) + 2 \, {\left(b d x + 3 \, b c - 2 \, a d\right)} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(d^{3} x + c d^{2}\right)}}\right]"," ",0,"[-1/4*(3*(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)*sqrt(b/d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d^2*x + b*c*d + a*d^2)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(b/d) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(b*d*x + 3*b*c - 2*a*d)*sqrt(b*x + a)*sqrt(d*x + c))/(d^3*x + c*d^2), 1/2*(3*(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)*sqrt(-b/d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-b/d)/(b^2*d*x^2 + a*b*c + (b^2*c + a*b*d)*x)) + 2*(b*d*x + 3*b*c - 2*a*d)*sqrt(b*x + a)*sqrt(d*x + c))/(d^3*x + c*d^2)]","A",0
1505,1,241,0,1.731260," ","integrate((b*x+a)^(1/2)/(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(d x + c\right)} \sqrt{\frac{b}{d}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d^{2} x + b c d + a d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{b}{d}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(d^{2} x + c d\right)}}, -\frac{{\left(d x + c\right)} \sqrt{-\frac{b}{d}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{b}{d}}}{2 \, {\left(b^{2} d x^{2} + a b c + {\left(b^{2} c + a b d\right)} x\right)}}\right) + 2 \, \sqrt{b x + a} \sqrt{d x + c}}{d^{2} x + c d}\right]"," ",0,"[1/2*((d*x + c)*sqrt(b/d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d^2*x + b*c*d + a*d^2)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(b/d) + 8*(b^2*c*d + a*b*d^2)*x) - 4*sqrt(b*x + a)*sqrt(d*x + c))/(d^2*x + c*d), -((d*x + c)*sqrt(-b/d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-b/d)/(b^2*d*x^2 + a*b*c + (b^2*c + a*b*d)*x)) + 2*sqrt(b*x + a)*sqrt(d*x + c))/(d^2*x + c*d)]","B",0
1506,1,42,0,1.291076," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x + a} \sqrt{d x + c}}{b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x}"," ",0,"2*sqrt(b*x + a)*sqrt(d*x + c)/(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)","A",0
1507,1,125,0,1.553558," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c}}{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*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)/(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
1508,1,273,0,1.918503," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(8 \, b^{2} d^{2} x^{2} - b^{2} c^{2} + 6 \, a b c d + 3 \, a^{2} d^{2} + 4 \, {\left(b^{2} c d + 3 \, a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{3 \, {\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,"2/3*(8*b^2*d^2*x^2 - b^2*c^2 + 6*a*b*c*d + 3*a^2*d^2 + 4*(b^2*c*d + 3*a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(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
1509,1,455,0,2.451949," ","integrate(1/(b*x+a)^(7/2)/(d*x+c)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(16 \, b^{3} d^{3} x^{3} + b^{3} c^{3} - 5 \, a b^{2} c^{2} d + 15 \, a^{2} b c d^{2} + 5 \, a^{3} d^{3} + 8 \, {\left(b^{3} c d^{2} + 5 \, a b^{2} d^{3}\right)} x^{2} - 2 \, {\left(b^{3} c^{2} d - 10 \, a b^{2} c d^{2} - 15 \, a^{2} b d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{5 \, {\left(a^{3} b^{4} c^{5} - 4 \, a^{4} b^{3} c^{4} d + 6 \, a^{5} b^{2} c^{3} d^{2} - 4 \, a^{6} b c^{2} d^{3} + a^{7} c d^{4} + {\left(b^{7} c^{4} d - 4 \, a b^{6} c^{3} d^{2} + 6 \, a^{2} b^{5} c^{2} d^{3} - 4 \, a^{3} b^{4} c d^{4} + a^{4} b^{3} d^{5}\right)} x^{4} + {\left(b^{7} c^{5} - a b^{6} c^{4} d - 6 \, a^{2} b^{5} c^{3} d^{2} + 14 \, a^{3} b^{4} c^{2} d^{3} - 11 \, a^{4} b^{3} c d^{4} + 3 \, a^{5} b^{2} d^{5}\right)} x^{3} + 3 \, {\left(a b^{6} c^{5} - 3 \, a^{2} b^{5} c^{4} d + 2 \, a^{3} b^{4} c^{3} d^{2} + 2 \, a^{4} b^{3} c^{2} d^{3} - 3 \, a^{5} b^{2} c d^{4} + a^{6} b d^{5}\right)} x^{2} + {\left(3 \, a^{2} b^{5} c^{5} - 11 \, a^{3} b^{4} c^{4} d + 14 \, a^{4} b^{3} c^{3} d^{2} - 6 \, a^{5} b^{2} c^{2} d^{3} - a^{6} b c d^{4} + a^{7} d^{5}\right)} x\right)}}"," ",0,"-2/5*(16*b^3*d^3*x^3 + b^3*c^3 - 5*a*b^2*c^2*d + 15*a^2*b*c*d^2 + 5*a^3*d^3 + 8*(b^3*c*d^2 + 5*a*b^2*d^3)*x^2 - 2*(b^3*c^2*d - 10*a*b^2*c*d^2 - 15*a^2*b*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^3*b^4*c^5 - 4*a^4*b^3*c^4*d + 6*a^5*b^2*c^3*d^2 - 4*a^6*b*c^2*d^3 + a^7*c*d^4 + (b^7*c^4*d - 4*a*b^6*c^3*d^2 + 6*a^2*b^5*c^2*d^3 - 4*a^3*b^4*c*d^4 + a^4*b^3*d^5)*x^4 + (b^7*c^5 - a*b^6*c^4*d - 6*a^2*b^5*c^3*d^2 + 14*a^3*b^4*c^2*d^3 - 11*a^4*b^3*c*d^4 + 3*a^5*b^2*d^5)*x^3 + 3*(a*b^6*c^5 - 3*a^2*b^5*c^4*d + 2*a^3*b^4*c^3*d^2 + 2*a^4*b^3*c^2*d^3 - 3*a^5*b^2*c*d^4 + a^6*b*d^5)*x^2 + (3*a^2*b^5*c^5 - 11*a^3*b^4*c^4*d + 14*a^4*b^3*c^3*d^2 - 6*a^5*b^2*c^2*d^3 - a^6*b*c*d^4 + a^7*d^5)*x)","B",0
1510,1,689,0,8.186049," ","integrate(1/(b*x+a)^(9/2)/(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(128 \, b^{4} d^{4} x^{4} - 5 \, b^{4} c^{4} + 28 \, a b^{3} c^{3} d - 70 \, a^{2} b^{2} c^{2} d^{2} + 140 \, a^{3} b c d^{3} + 35 \, a^{4} d^{4} + 64 \, {\left(b^{4} c d^{3} + 7 \, a b^{3} d^{4}\right)} x^{3} - 16 \, {\left(b^{4} c^{2} d^{2} - 14 \, a b^{3} c d^{3} - 35 \, a^{2} b^{2} d^{4}\right)} x^{2} + 8 \, {\left(b^{4} c^{3} d - 7 \, a b^{3} c^{2} d^{2} + 35 \, a^{2} b^{2} c d^{3} + 35 \, a^{3} b d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{35 \, {\left(a^{4} b^{5} c^{6} - 5 \, a^{5} b^{4} c^{5} d + 10 \, a^{6} b^{3} c^{4} d^{2} - 10 \, a^{7} b^{2} c^{3} d^{3} + 5 \, a^{8} b c^{2} d^{4} - a^{9} c d^{5} + {\left(b^{9} c^{5} d - 5 \, a b^{8} c^{4} d^{2} + 10 \, a^{2} b^{7} c^{3} d^{3} - 10 \, a^{3} b^{6} c^{2} d^{4} + 5 \, a^{4} b^{5} c d^{5} - a^{5} b^{4} d^{6}\right)} x^{5} + {\left(b^{9} c^{6} - a b^{8} c^{5} d - 10 \, a^{2} b^{7} c^{4} d^{2} + 30 \, a^{3} b^{6} c^{3} d^{3} - 35 \, a^{4} b^{5} c^{2} d^{4} + 19 \, a^{5} b^{4} c d^{5} - 4 \, a^{6} b^{3} d^{6}\right)} x^{4} + 2 \, {\left(2 \, a b^{8} c^{6} - 7 \, a^{2} b^{7} c^{5} d + 5 \, a^{3} b^{6} c^{4} d^{2} + 10 \, a^{4} b^{5} c^{3} d^{3} - 20 \, a^{5} b^{4} c^{2} d^{4} + 13 \, a^{6} b^{3} c d^{5} - 3 \, a^{7} b^{2} d^{6}\right)} x^{3} + 2 \, {\left(3 \, a^{2} b^{7} c^{6} - 13 \, a^{3} b^{6} c^{5} d + 20 \, a^{4} b^{5} c^{4} d^{2} - 10 \, a^{5} b^{4} c^{3} d^{3} - 5 \, a^{6} b^{3} c^{2} d^{4} + 7 \, a^{7} b^{2} c d^{5} - 2 \, a^{8} b d^{6}\right)} x^{2} + {\left(4 \, a^{3} b^{6} c^{6} - 19 \, a^{4} b^{5} c^{5} d + 35 \, a^{5} b^{4} c^{4} d^{2} - 30 \, a^{6} b^{3} c^{3} d^{3} + 10 \, a^{7} b^{2} c^{2} d^{4} + a^{8} b c d^{5} - a^{9} d^{6}\right)} x\right)}}"," ",0,"2/35*(128*b^4*d^4*x^4 - 5*b^4*c^4 + 28*a*b^3*c^3*d - 70*a^2*b^2*c^2*d^2 + 140*a^3*b*c*d^3 + 35*a^4*d^4 + 64*(b^4*c*d^3 + 7*a*b^3*d^4)*x^3 - 16*(b^4*c^2*d^2 - 14*a*b^3*c*d^3 - 35*a^2*b^2*d^4)*x^2 + 8*(b^4*c^3*d - 7*a*b^3*c^2*d^2 + 35*a^2*b^2*c*d^3 + 35*a^3*b*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^4*b^5*c^6 - 5*a^5*b^4*c^5*d + 10*a^6*b^3*c^4*d^2 - 10*a^7*b^2*c^3*d^3 + 5*a^8*b*c^2*d^4 - a^9*c*d^5 + (b^9*c^5*d - 5*a*b^8*c^4*d^2 + 10*a^2*b^7*c^3*d^3 - 10*a^3*b^6*c^2*d^4 + 5*a^4*b^5*c*d^5 - a^5*b^4*d^6)*x^5 + (b^9*c^6 - a*b^8*c^5*d - 10*a^2*b^7*c^4*d^2 + 30*a^3*b^6*c^3*d^3 - 35*a^4*b^5*c^2*d^4 + 19*a^5*b^4*c*d^5 - 4*a^6*b^3*d^6)*x^4 + 2*(2*a*b^8*c^6 - 7*a^2*b^7*c^5*d + 5*a^3*b^6*c^4*d^2 + 10*a^4*b^5*c^3*d^3 - 20*a^5*b^4*c^2*d^4 + 13*a^6*b^3*c*d^5 - 3*a^7*b^2*d^6)*x^3 + 2*(3*a^2*b^7*c^6 - 13*a^3*b^6*c^5*d + 20*a^4*b^5*c^4*d^2 - 10*a^5*b^4*c^3*d^3 - 5*a^6*b^3*c^2*d^4 + 7*a^7*b^2*c*d^5 - 2*a^8*b*d^6)*x^2 + (4*a^3*b^6*c^6 - 19*a^4*b^5*c^5*d + 35*a^5*b^4*c^4*d^2 - 30*a^6*b^3*c^3*d^3 + 10*a^7*b^2*c^2*d^4 + a^8*b*c*d^5 - a^9*d^6)*x)","B",0
1511,1,955,0,15.843162," ","integrate(1/(b*x+a)^(11/2)/(d*x+c)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(256 \, b^{5} d^{5} x^{5} + 7 \, b^{5} c^{5} - 45 \, a b^{4} c^{4} d + 126 \, a^{2} b^{3} c^{3} d^{2} - 210 \, a^{3} b^{2} c^{2} d^{3} + 315 \, a^{4} b c d^{4} + 63 \, a^{5} d^{5} + 128 \, {\left(b^{5} c d^{4} + 9 \, a b^{4} d^{5}\right)} x^{4} - 32 \, {\left(b^{5} c^{2} d^{3} - 18 \, a b^{4} c d^{4} - 63 \, a^{2} b^{3} d^{5}\right)} x^{3} + 16 \, {\left(b^{5} c^{3} d^{2} - 9 \, a b^{4} c^{2} d^{3} + 63 \, a^{2} b^{3} c d^{4} + 105 \, a^{3} b^{2} d^{5}\right)} x^{2} - 2 \, {\left(5 \, b^{5} c^{4} d - 36 \, a b^{4} c^{3} d^{2} + 126 \, a^{2} b^{3} c^{2} d^{3} - 420 \, a^{3} b^{2} c d^{4} - 315 \, a^{4} b d^{5}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{63 \, {\left(a^{5} b^{6} c^{7} - 6 \, a^{6} b^{5} c^{6} d + 15 \, a^{7} b^{4} c^{5} d^{2} - 20 \, a^{8} b^{3} c^{4} d^{3} + 15 \, a^{9} b^{2} c^{3} d^{4} - 6 \, a^{10} b c^{2} d^{5} + a^{11} c d^{6} + {\left(b^{11} c^{6} d - 6 \, a b^{10} c^{5} d^{2} + 15 \, a^{2} b^{9} c^{4} d^{3} - 20 \, a^{3} b^{8} c^{3} d^{4} + 15 \, a^{4} b^{7} c^{2} d^{5} - 6 \, a^{5} b^{6} c d^{6} + a^{6} b^{5} d^{7}\right)} x^{6} + {\left(b^{11} c^{7} - a b^{10} c^{6} d - 15 \, a^{2} b^{9} c^{5} d^{2} + 55 \, a^{3} b^{8} c^{4} d^{3} - 85 \, a^{4} b^{7} c^{3} d^{4} + 69 \, a^{5} b^{6} c^{2} d^{5} - 29 \, a^{6} b^{5} c d^{6} + 5 \, a^{7} b^{4} d^{7}\right)} x^{5} + 5 \, {\left(a b^{10} c^{7} - 4 \, a^{2} b^{9} c^{6} d + 3 \, a^{3} b^{8} c^{5} d^{2} + 10 \, a^{4} b^{7} c^{4} d^{3} - 25 \, a^{5} b^{6} c^{3} d^{4} + 24 \, a^{6} b^{5} c^{2} d^{5} - 11 \, a^{7} b^{4} c d^{6} + 2 \, a^{8} b^{3} d^{7}\right)} x^{4} + 10 \, {\left(a^{2} b^{9} c^{7} - 5 \, a^{3} b^{8} c^{6} d + 9 \, a^{4} b^{7} c^{5} d^{2} - 5 \, a^{5} b^{6} c^{4} d^{3} - 5 \, a^{6} b^{5} c^{3} d^{4} + 9 \, a^{7} b^{4} c^{2} d^{5} - 5 \, a^{8} b^{3} c d^{6} + a^{9} b^{2} d^{7}\right)} x^{3} + 5 \, {\left(2 \, a^{3} b^{8} c^{7} - 11 \, a^{4} b^{7} c^{6} d + 24 \, a^{5} b^{6} c^{5} d^{2} - 25 \, a^{6} b^{5} c^{4} d^{3} + 10 \, a^{7} b^{4} c^{3} d^{4} + 3 \, a^{8} b^{3} c^{2} d^{5} - 4 \, a^{9} b^{2} c d^{6} + a^{10} b d^{7}\right)} x^{2} + {\left(5 \, a^{4} b^{7} c^{7} - 29 \, a^{5} b^{6} c^{6} d + 69 \, a^{6} b^{5} c^{5} d^{2} - 85 \, a^{7} b^{4} c^{4} d^{3} + 55 \, a^{8} b^{3} c^{3} d^{4} - 15 \, a^{9} b^{2} c^{2} d^{5} - a^{10} b c d^{6} + a^{11} d^{7}\right)} x\right)}}"," ",0,"-2/63*(256*b^5*d^5*x^5 + 7*b^5*c^5 - 45*a*b^4*c^4*d + 126*a^2*b^3*c^3*d^2 - 210*a^3*b^2*c^2*d^3 + 315*a^4*b*c*d^4 + 63*a^5*d^5 + 128*(b^5*c*d^4 + 9*a*b^4*d^5)*x^4 - 32*(b^5*c^2*d^3 - 18*a*b^4*c*d^4 - 63*a^2*b^3*d^5)*x^3 + 16*(b^5*c^3*d^2 - 9*a*b^4*c^2*d^3 + 63*a^2*b^3*c*d^4 + 105*a^3*b^2*d^5)*x^2 - 2*(5*b^5*c^4*d - 36*a*b^4*c^3*d^2 + 126*a^2*b^3*c^2*d^3 - 420*a^3*b^2*c*d^4 - 315*a^4*b*d^5)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^5*b^6*c^7 - 6*a^6*b^5*c^6*d + 15*a^7*b^4*c^5*d^2 - 20*a^8*b^3*c^4*d^3 + 15*a^9*b^2*c^3*d^4 - 6*a^10*b*c^2*d^5 + a^11*c*d^6 + (b^11*c^6*d - 6*a*b^10*c^5*d^2 + 15*a^2*b^9*c^4*d^3 - 20*a^3*b^8*c^3*d^4 + 15*a^4*b^7*c^2*d^5 - 6*a^5*b^6*c*d^6 + a^6*b^5*d^7)*x^6 + (b^11*c^7 - a*b^10*c^6*d - 15*a^2*b^9*c^5*d^2 + 55*a^3*b^8*c^4*d^3 - 85*a^4*b^7*c^3*d^4 + 69*a^5*b^6*c^2*d^5 - 29*a^6*b^5*c*d^6 + 5*a^7*b^4*d^7)*x^5 + 5*(a*b^10*c^7 - 4*a^2*b^9*c^6*d + 3*a^3*b^8*c^5*d^2 + 10*a^4*b^7*c^4*d^3 - 25*a^5*b^6*c^3*d^4 + 24*a^6*b^5*c^2*d^5 - 11*a^7*b^4*c*d^6 + 2*a^8*b^3*d^7)*x^4 + 10*(a^2*b^9*c^7 - 5*a^3*b^8*c^6*d + 9*a^4*b^7*c^5*d^2 - 5*a^5*b^6*c^4*d^3 - 5*a^6*b^5*c^3*d^4 + 9*a^7*b^4*c^2*d^5 - 5*a^8*b^3*c*d^6 + a^9*b^2*d^7)*x^3 + 5*(2*a^3*b^8*c^7 - 11*a^4*b^7*c^6*d + 24*a^5*b^6*c^5*d^2 - 25*a^6*b^5*c^4*d^3 + 10*a^7*b^4*c^3*d^4 + 3*a^8*b^3*c^2*d^5 - 4*a^9*b^2*c*d^6 + a^10*b*d^7)*x^2 + (5*a^4*b^7*c^7 - 29*a^5*b^6*c^6*d + 69*a^6*b^5*c^5*d^2 - 85*a^7*b^4*c^4*d^3 + 55*a^8*b^3*c^3*d^4 - 15*a^9*b^2*c^2*d^5 - a^10*b*c*d^6 + a^11*d^7)*x)","B",0
1512,1,879,0,2.899150," ","integrate((b*x+a)^(9/2)/(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[-\frac{315 \, {\left(b^{4} c^{5} - 3 \, a b^{3} c^{4} d + 3 \, a^{2} b^{2} c^{3} d^{2} - a^{3} b 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^{2} + 2 \, {\left(b^{4} c^{4} d - 3 \, a b^{3} c^{3} d^{2} + 3 \, a^{2} b^{2} c^{2} d^{3} - a^{3} b c d^{4}\right)} x\right)} \sqrt{\frac{b}{d}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d^{2} x + b c d + a d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{b}{d}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(8 \, b^{4} d^{4} x^{4} + 315 \, b^{4} c^{4} - 840 \, a b^{3} c^{3} d + 693 \, a^{2} b^{2} c^{2} d^{2} - 144 \, a^{3} b c d^{3} - 16 \, a^{4} d^{4} - 2 \, {\left(9 \, b^{4} c d^{3} - 25 \, a b^{3} d^{4}\right)} x^{3} + 3 \, {\left(21 \, b^{4} c^{2} d^{2} - 60 \, a b^{3} c d^{3} + 55 \, a^{2} b^{2} d^{4}\right)} x^{2} + 2 \, {\left(210 \, b^{4} c^{3} d - 567 \, a b^{3} c^{2} d^{2} + 477 \, a^{2} b^{2} c d^{3} - 104 \, a^{3} b d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{96 \, {\left(d^{7} x^{2} + 2 \, c d^{6} x + c^{2} d^{5}\right)}}, \frac{315 \, {\left(b^{4} c^{5} - 3 \, a b^{3} c^{4} d + 3 \, a^{2} b^{2} c^{3} d^{2} - a^{3} b 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^{2} + 2 \, {\left(b^{4} c^{4} d - 3 \, a b^{3} c^{3} d^{2} + 3 \, a^{2} b^{2} c^{2} d^{3} - a^{3} b c d^{4}\right)} x\right)} \sqrt{-\frac{b}{d}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{b}{d}}}{2 \, {\left(b^{2} d x^{2} + a b c + {\left(b^{2} c + a b d\right)} x\right)}}\right) + 2 \, {\left(8 \, b^{4} d^{4} x^{4} + 315 \, b^{4} c^{4} - 840 \, a b^{3} c^{3} d + 693 \, a^{2} b^{2} c^{2} d^{2} - 144 \, a^{3} b c d^{3} - 16 \, a^{4} d^{4} - 2 \, {\left(9 \, b^{4} c d^{3} - 25 \, a b^{3} d^{4}\right)} x^{3} + 3 \, {\left(21 \, b^{4} c^{2} d^{2} - 60 \, a b^{3} c d^{3} + 55 \, a^{2} b^{2} d^{4}\right)} x^{2} + 2 \, {\left(210 \, b^{4} c^{3} d - 567 \, a b^{3} c^{2} d^{2} + 477 \, a^{2} b^{2} c d^{3} - 104 \, a^{3} b d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{48 \, {\left(d^{7} x^{2} + 2 \, c d^{6} x + c^{2} d^{5}\right)}}\right]"," ",0,"[-1/96*(315*(b^4*c^5 - 3*a*b^3*c^4*d + 3*a^2*b^2*c^3*d^2 - a^3*b*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^2 + 2*(b^4*c^4*d - 3*a*b^3*c^3*d^2 + 3*a^2*b^2*c^2*d^3 - a^3*b*c*d^4)*x)*sqrt(b/d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d^2*x + b*c*d + a*d^2)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(b/d) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(8*b^4*d^4*x^4 + 315*b^4*c^4 - 840*a*b^3*c^3*d + 693*a^2*b^2*c^2*d^2 - 144*a^3*b*c*d^3 - 16*a^4*d^4 - 2*(9*b^4*c*d^3 - 25*a*b^3*d^4)*x^3 + 3*(21*b^4*c^2*d^2 - 60*a*b^3*c*d^3 + 55*a^2*b^2*d^4)*x^2 + 2*(210*b^4*c^3*d - 567*a*b^3*c^2*d^2 + 477*a^2*b^2*c*d^3 - 104*a^3*b*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(d^7*x^2 + 2*c*d^6*x + c^2*d^5), 1/48*(315*(b^4*c^5 - 3*a*b^3*c^4*d + 3*a^2*b^2*c^3*d^2 - a^3*b*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^2 + 2*(b^4*c^4*d - 3*a*b^3*c^3*d^2 + 3*a^2*b^2*c^2*d^3 - a^3*b*c*d^4)*x)*sqrt(-b/d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-b/d)/(b^2*d*x^2 + a*b*c + (b^2*c + a*b*d)*x)) + 2*(8*b^4*d^4*x^4 + 315*b^4*c^4 - 840*a*b^3*c^3*d + 693*a^2*b^2*c^2*d^2 - 144*a^3*b*c*d^3 - 16*a^4*d^4 - 2*(9*b^4*c*d^3 - 25*a*b^3*d^4)*x^3 + 3*(21*b^4*c^2*d^2 - 60*a*b^3*c*d^3 + 55*a^2*b^2*d^4)*x^2 + 2*(210*b^4*c^3*d - 567*a*b^3*c^2*d^2 + 477*a^2*b^2*c*d^3 - 104*a^3*b*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(d^7*x^2 + 2*c*d^6*x + c^2*d^5)]","B",0
1513,1,657,0,2.244109," ","integrate((b*x+a)^(7/2)/(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{3} c^{4} - 2 \, a b^{2} c^{3} d + a^{2} b c^{2} d^{2} + {\left(b^{3} c^{2} d^{2} - 2 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} x^{2} + 2 \, {\left(b^{3} c^{3} d - 2 \, a b^{2} c^{2} d^{2} + a^{2} b c d^{3}\right)} x\right)} \sqrt{\frac{b}{d}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d^{2} x + b c d + a d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{b}{d}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) + 4 \, {\left(6 \, b^{3} d^{3} x^{3} - 105 \, b^{3} c^{3} + 175 \, a b^{2} c^{2} d - 56 \, a^{2} b c d^{2} - 8 \, a^{3} d^{3} - 3 \, {\left(7 \, b^{3} c d^{2} - 13 \, a b^{2} d^{3}\right)} x^{2} - 2 \, {\left(70 \, b^{3} c^{2} d - 119 \, a b^{2} c d^{2} + 40 \, a^{2} b d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{48 \, {\left(d^{6} x^{2} + 2 \, c d^{5} x + c^{2} d^{4}\right)}}, -\frac{105 \, {\left(b^{3} c^{4} - 2 \, a b^{2} c^{3} d + a^{2} b c^{2} d^{2} + {\left(b^{3} c^{2} d^{2} - 2 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} x^{2} + 2 \, {\left(b^{3} c^{3} d - 2 \, a b^{2} c^{2} d^{2} + a^{2} b c d^{3}\right)} x\right)} \sqrt{-\frac{b}{d}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{b}{d}}}{2 \, {\left(b^{2} d x^{2} + a b c + {\left(b^{2} c + a b d\right)} x\right)}}\right) - 2 \, {\left(6 \, b^{3} d^{3} x^{3} - 105 \, b^{3} c^{3} + 175 \, a b^{2} c^{2} d - 56 \, a^{2} b c d^{2} - 8 \, a^{3} d^{3} - 3 \, {\left(7 \, b^{3} c d^{2} - 13 \, a b^{2} d^{3}\right)} x^{2} - 2 \, {\left(70 \, b^{3} c^{2} d - 119 \, a b^{2} c d^{2} + 40 \, a^{2} b d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{24 \, {\left(d^{6} x^{2} + 2 \, c d^{5} x + c^{2} d^{4}\right)}}\right]"," ",0,"[1/48*(105*(b^3*c^4 - 2*a*b^2*c^3*d + a^2*b*c^2*d^2 + (b^3*c^2*d^2 - 2*a*b^2*c*d^3 + a^2*b*d^4)*x^2 + 2*(b^3*c^3*d - 2*a*b^2*c^2*d^2 + a^2*b*c*d^3)*x)*sqrt(b/d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d^2*x + b*c*d + a*d^2)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(b/d) + 8*(b^2*c*d + a*b*d^2)*x) + 4*(6*b^3*d^3*x^3 - 105*b^3*c^3 + 175*a*b^2*c^2*d - 56*a^2*b*c*d^2 - 8*a^3*d^3 - 3*(7*b^3*c*d^2 - 13*a*b^2*d^3)*x^2 - 2*(70*b^3*c^2*d - 119*a*b^2*c*d^2 + 40*a^2*b*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(d^6*x^2 + 2*c*d^5*x + c^2*d^4), -1/24*(105*(b^3*c^4 - 2*a*b^2*c^3*d + a^2*b*c^2*d^2 + (b^3*c^2*d^2 - 2*a*b^2*c*d^3 + a^2*b*d^4)*x^2 + 2*(b^3*c^3*d - 2*a*b^2*c^2*d^2 + a^2*b*c*d^3)*x)*sqrt(-b/d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-b/d)/(b^2*d*x^2 + a*b*c + (b^2*c + a*b*d)*x)) - 2*(6*b^3*d^3*x^3 - 105*b^3*c^3 + 175*a*b^2*c^2*d - 56*a^2*b*c*d^2 - 8*a^3*d^3 - 3*(7*b^3*c*d^2 - 13*a*b^2*d^3)*x^2 - 2*(70*b^3*c^2*d - 119*a*b^2*c*d^2 + 40*a^2*b*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(d^6*x^2 + 2*c*d^5*x + c^2*d^4)]","B",0
1514,1,475,0,1.624460," ","integrate((b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[-\frac{15 \, {\left(b^{2} c^{3} - a b c^{2} d + {\left(b^{2} c d^{2} - a b d^{3}\right)} x^{2} + 2 \, {\left(b^{2} c^{2} d - a b c d^{2}\right)} x\right)} \sqrt{\frac{b}{d}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d^{2} x + b c d + a d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{b}{d}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(3 \, b^{2} d^{2} x^{2} + 15 \, b^{2} c^{2} - 10 \, a b c d - 2 \, a^{2} d^{2} + 2 \, {\left(10 \, b^{2} c d - 7 \, a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{12 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}, \frac{15 \, {\left(b^{2} c^{3} - a b c^{2} d + {\left(b^{2} c d^{2} - a b d^{3}\right)} x^{2} + 2 \, {\left(b^{2} c^{2} d - a b c d^{2}\right)} x\right)} \sqrt{-\frac{b}{d}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{b}{d}}}{2 \, {\left(b^{2} d x^{2} + a b c + {\left(b^{2} c + a b d\right)} x\right)}}\right) + 2 \, {\left(3 \, b^{2} d^{2} x^{2} + 15 \, b^{2} c^{2} - 10 \, a b c d - 2 \, a^{2} d^{2} + 2 \, {\left(10 \, b^{2} c d - 7 \, a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{6 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}\right]"," ",0,"[-1/12*(15*(b^2*c^3 - a*b*c^2*d + (b^2*c*d^2 - a*b*d^3)*x^2 + 2*(b^2*c^2*d - a*b*c*d^2)*x)*sqrt(b/d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d^2*x + b*c*d + a*d^2)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(b/d) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(3*b^2*d^2*x^2 + 15*b^2*c^2 - 10*a*b*c*d - 2*a^2*d^2 + 2*(10*b^2*c*d - 7*a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(d^5*x^2 + 2*c*d^4*x + c^2*d^3), 1/6*(15*(b^2*c^3 - a*b*c^2*d + (b^2*c*d^2 - a*b*d^3)*x^2 + 2*(b^2*c^2*d - a*b*c*d^2)*x)*sqrt(-b/d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-b/d)/(b^2*d*x^2 + a*b*c + (b^2*c + a*b*d)*x)) + 2*(3*b^2*d^2*x^2 + 15*b^2*c^2 - 10*a*b*c*d - 2*a^2*d^2 + 2*(10*b^2*c*d - 7*a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c))/(d^5*x^2 + 2*c*d^4*x + c^2*d^3)]","B",0
1515,1,325,0,1.486805," ","integrate((b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \sqrt{\frac{b}{d}} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} + 4 \, {\left(2 \, b d^{2} x + b c d + a d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{b}{d}} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) - 4 \, {\left(4 \, b d x + 3 \, b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c}}{6 \, {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)}}, -\frac{3 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \sqrt{-\frac{b}{d}} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{-\frac{b}{d}}}{2 \, {\left(b^{2} d x^{2} + a b c + {\left(b^{2} c + a b d\right)} x\right)}}\right) + 2 \, {\left(4 \, b d x + 3 \, b c + a d\right)} \sqrt{b x + a} \sqrt{d x + c}}{3 \, {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)}}\right]"," ",0,"[1/6*(3*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*sqrt(b/d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 + 4*(2*b*d^2*x + b*c*d + a*d^2)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(b/d) + 8*(b^2*c*d + a*b*d^2)*x) - 4*(4*b*d*x + 3*b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c))/(d^4*x^2 + 2*c*d^3*x + c^2*d^2), -1/3*(3*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*sqrt(-b/d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(-b/d)/(b^2*d*x^2 + a*b*c + (b^2*c + a*b*d)*x)) + 2*(4*b*d*x + 3*b*c + a*d)*sqrt(b*x + a)*sqrt(d*x + c))/(d^4*x^2 + 2*c*d^3*x + c^2*d^2)]","B",0
1516,1,65,0,1.146296," ","integrate((b*x+a)^(1/2)/(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} \sqrt{d x + c}}{3 \, {\left(b c^{3} - a c^{2} d + {\left(b c d^{2} - a d^{3}\right)} x^{2} + 2 \, {\left(b c^{2} d - a c d^{2}\right)} x\right)}}"," ",0,"2/3*(b*x + a)^(3/2)*sqrt(d*x + c)/(b*c^3 - a*c^2*d + (b*c*d^2 - a*d^3)*x^2 + 2*(b*c^2*d - a*c*d^2)*x)","B",0
1517,1,118,0,1.316819," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, b d x + 3 \, b c - a d\right)} \sqrt{b x + a} \sqrt{d x + c}}{3 \, {\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,"2/3*(2*b*d*x + 3*b*c - a*d)*sqrt(b*x + a)*sqrt(d*x + c)/(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
1518,1,273,0,2.079379," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(8 \, b^{2} d^{2} x^{2} + 3 \, b^{2} c^{2} + 6 \, a b c d - a^{2} d^{2} + 4 \, {\left(3 \, b^{2} c d + a b d^{2}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{3 \, {\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,"-2/3*(8*b^2*d^2*x^2 + 3*b^2*c^2 + 6*a*b*c*d - a^2*d^2 + 4*(3*b^2*c*d + a*b*d^2)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(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
1519,1,447,0,2.418481," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(16 \, b^{3} d^{3} x^{3} - b^{3} c^{3} + 9 \, a b^{2} c^{2} d + 9 \, a^{2} b c d^{2} - a^{3} d^{3} + 24 \, {\left(b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 6 \, {\left(b^{3} c^{2} d + 6 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{3 \, {\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,"2/3*(16*b^3*d^3*x^3 - b^3*c^3 + 9*a*b^2*c^2*d + 9*a^2*b*c*d^2 - a^3*d^3 + 24*(b^3*c*d^2 + a*b^2*d^3)*x^2 + 6*(b^3*c^2*d + 6*a*b^2*c*d^2 + a^2*b*d^3)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(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
1520,1,715,0,8.262691," ","integrate(1/(b*x+a)^(7/2)/(d*x+c)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(128 \, b^{4} d^{4} x^{4} + 3 \, b^{4} c^{4} - 20 \, a b^{3} c^{3} d + 90 \, a^{2} b^{2} c^{2} d^{2} + 60 \, a^{3} b c d^{3} - 5 \, a^{4} d^{4} + 64 \, {\left(3 \, b^{4} c d^{3} + 5 \, a b^{3} d^{4}\right)} x^{3} + 48 \, {\left(b^{4} c^{2} d^{2} + 10 \, a b^{3} c d^{3} + 5 \, a^{2} b^{2} d^{4}\right)} x^{2} - 8 \, {\left(b^{4} c^{3} d - 15 \, a b^{3} c^{2} d^{2} - 45 \, a^{2} b^{2} c d^{3} - 5 \, a^{3} b d^{4}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{15 \, {\left(a^{3} b^{5} c^{7} - 5 \, a^{4} b^{4} c^{6} d + 10 \, a^{5} b^{3} c^{5} d^{2} - 10 \, a^{6} b^{2} c^{4} d^{3} + 5 \, a^{7} b c^{3} d^{4} - a^{8} c^{2} d^{5} + {\left(b^{8} c^{5} d^{2} - 5 \, a b^{7} c^{4} d^{3} + 10 \, a^{2} b^{6} c^{3} d^{4} - 10 \, a^{3} b^{5} c^{2} d^{5} + 5 \, a^{4} b^{4} c d^{6} - a^{5} b^{3} d^{7}\right)} x^{5} + {\left(2 \, b^{8} c^{6} d - 7 \, a b^{7} c^{5} d^{2} + 5 \, a^{2} b^{6} c^{4} d^{3} + 10 \, a^{3} b^{5} c^{3} d^{4} - 20 \, a^{4} b^{4} c^{2} d^{5} + 13 \, a^{5} b^{3} c d^{6} - 3 \, a^{6} b^{2} d^{7}\right)} x^{4} + {\left(b^{8} c^{7} + a b^{7} c^{6} d - 17 \, a^{2} b^{6} c^{5} d^{2} + 35 \, a^{3} b^{5} c^{4} d^{3} - 25 \, a^{4} b^{4} c^{3} d^{4} - a^{5} b^{3} c^{2} d^{5} + 9 \, a^{6} b^{2} c d^{6} - 3 \, a^{7} b d^{7}\right)} x^{3} + {\left(3 \, a b^{7} c^{7} - 9 \, a^{2} b^{6} c^{6} d + a^{3} b^{5} c^{5} d^{2} + 25 \, a^{4} b^{4} c^{4} d^{3} - 35 \, a^{5} b^{3} c^{3} d^{4} + 17 \, a^{6} b^{2} c^{2} d^{5} - a^{7} b c d^{6} - a^{8} d^{7}\right)} x^{2} + {\left(3 \, a^{2} b^{6} c^{7} - 13 \, a^{3} b^{5} c^{6} d + 20 \, a^{4} b^{4} c^{5} d^{2} - 10 \, a^{5} b^{3} c^{4} d^{3} - 5 \, a^{6} b^{2} c^{3} d^{4} + 7 \, a^{7} b c^{2} d^{5} - 2 \, a^{8} c d^{6}\right)} x\right)}}"," ",0,"-2/15*(128*b^4*d^4*x^4 + 3*b^4*c^4 - 20*a*b^3*c^3*d + 90*a^2*b^2*c^2*d^2 + 60*a^3*b*c*d^3 - 5*a^4*d^4 + 64*(3*b^4*c*d^3 + 5*a*b^3*d^4)*x^3 + 48*(b^4*c^2*d^2 + 10*a*b^3*c*d^3 + 5*a^2*b^2*d^4)*x^2 - 8*(b^4*c^3*d - 15*a*b^3*c^2*d^2 - 45*a^2*b^2*c*d^3 - 5*a^3*b*d^4)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^3*b^5*c^7 - 5*a^4*b^4*c^6*d + 10*a^5*b^3*c^5*d^2 - 10*a^6*b^2*c^4*d^3 + 5*a^7*b*c^3*d^4 - a^8*c^2*d^5 + (b^8*c^5*d^2 - 5*a*b^7*c^4*d^3 + 10*a^2*b^6*c^3*d^4 - 10*a^3*b^5*c^2*d^5 + 5*a^4*b^4*c*d^6 - a^5*b^3*d^7)*x^5 + (2*b^8*c^6*d - 7*a*b^7*c^5*d^2 + 5*a^2*b^6*c^4*d^3 + 10*a^3*b^5*c^3*d^4 - 20*a^4*b^4*c^2*d^5 + 13*a^5*b^3*c*d^6 - 3*a^6*b^2*d^7)*x^4 + (b^8*c^7 + a*b^7*c^6*d - 17*a^2*b^6*c^5*d^2 + 35*a^3*b^5*c^4*d^3 - 25*a^4*b^4*c^3*d^4 - a^5*b^3*c^2*d^5 + 9*a^6*b^2*c*d^6 - 3*a^7*b*d^7)*x^3 + (3*a*b^7*c^7 - 9*a^2*b^6*c^6*d + a^3*b^5*c^5*d^2 + 25*a^4*b^4*c^4*d^3 - 35*a^5*b^3*c^3*d^4 + 17*a^6*b^2*c^2*d^5 - a^7*b*c*d^6 - a^8*d^7)*x^2 + (3*a^2*b^6*c^7 - 13*a^3*b^5*c^6*d + 20*a^4*b^4*c^5*d^2 - 10*a^5*b^3*c^4*d^3 - 5*a^6*b^2*c^3*d^4 + 7*a^7*b*c^2*d^5 - 2*a^8*c*d^6)*x)","B",0
1521,1,999,0,19.330974," ","integrate(1/(b*x+a)^(9/2)/(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(256 \, b^{5} d^{5} x^{5} - 3 \, b^{5} c^{5} + 21 \, a b^{4} c^{4} d - 70 \, a^{2} b^{3} c^{3} d^{2} + 210 \, a^{3} b^{2} c^{2} d^{3} + 105 \, a^{4} b c d^{4} - 7 \, a^{5} d^{5} + 128 \, {\left(3 \, b^{5} c d^{4} + 7 \, a b^{4} d^{5}\right)} x^{4} + 32 \, {\left(3 \, b^{5} c^{2} d^{3} + 42 \, a b^{4} c d^{4} + 35 \, a^{2} b^{3} d^{5}\right)} x^{3} - 16 \, {\left(b^{5} c^{3} d^{2} - 21 \, a b^{4} c^{2} d^{3} - 105 \, a^{2} b^{3} c d^{4} - 35 \, a^{3} b^{2} d^{5}\right)} x^{2} + 2 \, {\left(3 \, b^{5} c^{4} d - 28 \, a b^{4} c^{3} d^{2} + 210 \, a^{2} b^{3} c^{2} d^{3} + 420 \, a^{3} b^{2} c d^{4} + 35 \, a^{4} b d^{5}\right)} x\right)} \sqrt{b x + a} \sqrt{d x + c}}{21 \, {\left(a^{4} b^{6} c^{8} - 6 \, a^{5} b^{5} c^{7} d + 15 \, a^{6} b^{4} c^{6} d^{2} - 20 \, a^{7} b^{3} c^{5} d^{3} + 15 \, a^{8} b^{2} c^{4} d^{4} - 6 \, a^{9} b c^{3} d^{5} + a^{10} c^{2} d^{6} + {\left(b^{10} c^{6} d^{2} - 6 \, a b^{9} c^{5} d^{3} + 15 \, a^{2} b^{8} c^{4} d^{4} - 20 \, a^{3} b^{7} c^{3} d^{5} + 15 \, a^{4} b^{6} c^{2} d^{6} - 6 \, a^{5} b^{5} c d^{7} + a^{6} b^{4} d^{8}\right)} x^{6} + 2 \, {\left(b^{10} c^{7} d - 4 \, a b^{9} c^{6} d^{2} + 3 \, a^{2} b^{8} c^{5} d^{3} + 10 \, a^{3} b^{7} c^{4} d^{4} - 25 \, a^{4} b^{6} c^{3} d^{5} + 24 \, a^{5} b^{5} c^{2} d^{6} - 11 \, a^{6} b^{4} c d^{7} + 2 \, a^{7} b^{3} d^{8}\right)} x^{5} + {\left(b^{10} c^{8} + 2 \, a b^{9} c^{7} d - 27 \, a^{2} b^{8} c^{6} d^{2} + 64 \, a^{3} b^{7} c^{5} d^{3} - 55 \, a^{4} b^{6} c^{4} d^{4} - 6 \, a^{5} b^{5} c^{3} d^{5} + 43 \, a^{6} b^{4} c^{2} d^{6} - 28 \, a^{7} b^{3} c d^{7} + 6 \, a^{8} b^{2} d^{8}\right)} x^{4} + 4 \, {\left(a b^{9} c^{8} - 3 \, a^{2} b^{8} c^{7} d - 2 \, a^{3} b^{7} c^{6} d^{2} + 19 \, a^{4} b^{6} c^{5} d^{3} - 30 \, a^{5} b^{5} c^{4} d^{4} + 19 \, a^{6} b^{4} c^{3} d^{5} - 2 \, a^{7} b^{3} c^{2} d^{6} - 3 \, a^{8} b^{2} c d^{7} + a^{9} b d^{8}\right)} x^{3} + {\left(6 \, a^{2} b^{8} c^{8} - 28 \, a^{3} b^{7} c^{7} d + 43 \, a^{4} b^{6} c^{6} d^{2} - 6 \, a^{5} b^{5} c^{5} d^{3} - 55 \, a^{6} b^{4} c^{4} d^{4} + 64 \, a^{7} b^{3} c^{3} d^{5} - 27 \, a^{8} b^{2} c^{2} d^{6} + 2 \, a^{9} b c d^{7} + a^{10} d^{8}\right)} x^{2} + 2 \, {\left(2 \, a^{3} b^{7} c^{8} - 11 \, a^{4} b^{6} c^{7} d + 24 \, a^{5} b^{5} c^{6} d^{2} - 25 \, a^{6} b^{4} c^{5} d^{3} + 10 \, a^{7} b^{3} c^{4} d^{4} + 3 \, a^{8} b^{2} c^{3} d^{5} - 4 \, a^{9} b c^{2} d^{6} + a^{10} c d^{7}\right)} x\right)}}"," ",0,"2/21*(256*b^5*d^5*x^5 - 3*b^5*c^5 + 21*a*b^4*c^4*d - 70*a^2*b^3*c^3*d^2 + 210*a^3*b^2*c^2*d^3 + 105*a^4*b*c*d^4 - 7*a^5*d^5 + 128*(3*b^5*c*d^4 + 7*a*b^4*d^5)*x^4 + 32*(3*b^5*c^2*d^3 + 42*a*b^4*c*d^4 + 35*a^2*b^3*d^5)*x^3 - 16*(b^5*c^3*d^2 - 21*a*b^4*c^2*d^3 - 105*a^2*b^3*c*d^4 - 35*a^3*b^2*d^5)*x^2 + 2*(3*b^5*c^4*d - 28*a*b^4*c^3*d^2 + 210*a^2*b^3*c^2*d^3 + 420*a^3*b^2*c*d^4 + 35*a^4*b*d^5)*x)*sqrt(b*x + a)*sqrt(d*x + c)/(a^4*b^6*c^8 - 6*a^5*b^5*c^7*d + 15*a^6*b^4*c^6*d^2 - 20*a^7*b^3*c^5*d^3 + 15*a^8*b^2*c^4*d^4 - 6*a^9*b*c^3*d^5 + a^10*c^2*d^6 + (b^10*c^6*d^2 - 6*a*b^9*c^5*d^3 + 15*a^2*b^8*c^4*d^4 - 20*a^3*b^7*c^3*d^5 + 15*a^4*b^6*c^2*d^6 - 6*a^5*b^5*c*d^7 + a^6*b^4*d^8)*x^6 + 2*(b^10*c^7*d - 4*a*b^9*c^6*d^2 + 3*a^2*b^8*c^5*d^3 + 10*a^3*b^7*c^4*d^4 - 25*a^4*b^6*c^3*d^5 + 24*a^5*b^5*c^2*d^6 - 11*a^6*b^4*c*d^7 + 2*a^7*b^3*d^8)*x^5 + (b^10*c^8 + 2*a*b^9*c^7*d - 27*a^2*b^8*c^6*d^2 + 64*a^3*b^7*c^5*d^3 - 55*a^4*b^6*c^4*d^4 - 6*a^5*b^5*c^3*d^5 + 43*a^6*b^4*c^2*d^6 - 28*a^7*b^3*c*d^7 + 6*a^8*b^2*d^8)*x^4 + 4*(a*b^9*c^8 - 3*a^2*b^8*c^7*d - 2*a^3*b^7*c^6*d^2 + 19*a^4*b^6*c^5*d^3 - 30*a^5*b^5*c^4*d^4 + 19*a^6*b^4*c^3*d^5 - 2*a^7*b^3*c^2*d^6 - 3*a^8*b^2*c*d^7 + a^9*b*d^8)*x^3 + (6*a^2*b^8*c^8 - 28*a^3*b^7*c^7*d + 43*a^4*b^6*c^6*d^2 - 6*a^5*b^5*c^5*d^3 - 55*a^6*b^4*c^4*d^4 + 64*a^7*b^3*c^3*d^5 - 27*a^8*b^2*c^2*d^6 + 2*a^9*b*c*d^7 + a^10*d^8)*x^2 + 2*(2*a^3*b^7*c^8 - 11*a^4*b^6*c^7*d + 24*a^5*b^5*c^6*d^2 - 25*a^6*b^4*c^5*d^3 + 10*a^7*b^3*c^4*d^4 + 3*a^8*b^2*c^3*d^5 - 4*a^9*b*c^2*d^6 + a^10*c*d^7)*x)","B",0
1522,1,31,0,1.049428," ","integrate(1/(b*x+a)^(1/2)/(b*x+a+4)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-b x + \sqrt{b x + a + 4} \sqrt{b x + a} - a - 2\right)}{b}"," ",0,"-log(-b*x + sqrt(b*x + a + 4)*sqrt(b*x + a) - a - 2)/b","B",0
1523,1,27,0,0.810765," ","integrate(1/(b*x+2)^(1/2)/(b*x+6)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-b x + \sqrt{b x + 6} \sqrt{b x + 2} - 4\right)}{b}"," ",0,"-log(-b*x + sqrt(b*x + 6)*sqrt(b*x + 2) - 4)/b","A",0
1524,1,27,0,0.876092," ","integrate(1/(b*x+1)^(1/2)/(b*x+5)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-b x + \sqrt{b x + 5} \sqrt{b x + 1} - 3\right)}{b}"," ",0,"-log(-b*x + sqrt(b*x + 5)*sqrt(b*x + 1) - 3)/b","A",0
1525,1,25,0,0.951693," ","integrate(1/(b*x)^(1/2)/(b*x+4)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-b x + \sqrt{b x + 4} \sqrt{b x} - 2\right)}{b}"," ",0,"-log(-b*x + sqrt(b*x + 4)*sqrt(b*x) - 2)/b","A",0
1526,1,27,0,0.966063," ","integrate(1/(b*x-1)^(1/2)/(b*x+3)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-b x + \sqrt{b x + 3} \sqrt{b x - 1} - 1\right)}{b}"," ",0,"-log(-b*x + sqrt(b*x + 3)*sqrt(b*x - 1) - 1)/b","A",0
1527,1,26,0,1.121686," ","integrate(1/(b*x-2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-b x + \sqrt{b x + 2} \sqrt{b x - 2}\right)}{b}"," ",0,"-log(-b*x + sqrt(b*x + 2)*sqrt(b*x - 2))/b","B",0
1528,1,27,0,0.728908," ","integrate(1/(b*x-3)^(1/2)/(b*x+1)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-b x + \sqrt{b x + 1} \sqrt{b x - 3} + 1\right)}{b}"," ",0,"-log(-b*x + sqrt(b*x + 1)*sqrt(b*x - 3) + 1)/b","A",0
1529,1,28,0,1.131250," ","integrate(1/(b*x+2)^(1/2)/(b*x+3)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-2 \, b x + 2 \, \sqrt{b x + 3} \sqrt{b x + 2} - 5\right)}{b}"," ",0,"-log(-2*b*x + 2*sqrt(b*x + 3)*sqrt(b*x + 2) - 5)/b","B",0
1530,1,10,0,0.995634," ","integrate(1/(b*x+2),x, algorithm=""fricas"")","\frac{\log\left(b x + 2\right)}{b}"," ",0,"log(b*x + 2)/b","A",0
1531,1,28,0,0.951786," ","integrate(1/(b*x+1)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-2 \, b x + 2 \, \sqrt{b x + 2} \sqrt{b x + 1} - 3\right)}{b}"," ",0,"-log(-2*b*x + 2*sqrt(b*x + 2)*sqrt(b*x + 1) - 3)/b","B",0
1532,1,25,0,0.984470," ","integrate(1/(b*x)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-b x + \sqrt{b x + 2} \sqrt{b x} - 1\right)}{b}"," ",0,"-log(-b*x + sqrt(b*x + 2)*sqrt(b*x) - 1)/b","A",0
1533,1,28,0,1.076511," ","integrate(1/(b*x-1)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-2 \, b x + 2 \, \sqrt{b x + 2} \sqrt{b x - 1} - 1\right)}{b}"," ",0,"-log(-2*b*x + 2*sqrt(b*x + 2)*sqrt(b*x - 1) - 1)/b","A",0
1534,1,26,0,0.866387," ","integrate(1/(b*x-2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-b x + \sqrt{b x + 2} \sqrt{b x - 2}\right)}{b}"," ",0,"-log(-b*x + sqrt(b*x + 2)*sqrt(b*x - 2))/b","B",0
1535,1,28,0,1.046578," ","integrate(1/(b*x-3)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-2 \, b x + 2 \, \sqrt{b x + 2} \sqrt{b x - 3} + 1\right)}{b}"," ",0,"-log(-2*b*x + 2*sqrt(b*x + 2)*sqrt(b*x - 3) + 1)/b","A",0
1536,1,44,0,0.827414," ","integrate(1/(-b*x+3)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{{\left(2 \, b x - 1\right)} \sqrt{b x + 2} \sqrt{-b x + 3}}{2 \, {\left(b^{2} x^{2} - b x - 6\right)}}\right)}{b}"," ",0,"-arctan(1/2*(2*b*x - 1)*sqrt(b*x + 2)*sqrt(-b*x + 3)/(b^2*x^2 - b*x - 6))/b","B",0
1537,1,31,0,0.750605," ","integrate(1/(-b*x+2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b x + 2} - 2}{b x}\right)}{b}"," ",0,"-2*arctan((sqrt(b*x + 2)*sqrt(-b*x + 2) - 2)/(b*x))/b","B",0
1538,1,43,0,1.066676," ","integrate(1/(-b*x+1)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{{\left(2 \, b x + 1\right)} \sqrt{b x + 2} \sqrt{-b x + 1}}{2 \, {\left(b^{2} x^{2} + b x - 2\right)}}\right)}{b}"," ",0,"-arctan(1/2*(2*b*x + 1)*sqrt(b*x + 2)*sqrt(-b*x + 1)/(b^2*x^2 + b*x - 2))/b","B",0
1539,1,26,0,1.122174," ","integrate(1/(-b*x)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \arctan\left(\frac{\sqrt{b x + 2} \sqrt{-b x}}{b x}\right)}{b}"," ",0,"-2*arctan(sqrt(b*x + 2)*sqrt(-b*x)/(b*x))/b","B",0
1540,1,44,0,1.088320," ","integrate(1/(-b*x-1)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{{\left(2 \, b x + 3\right)} \sqrt{b x + 2} \sqrt{-b x - 1}}{2 \, {\left(b^{2} x^{2} + 3 \, b x + 2\right)}}\right)}{b}"," ",0,"-arctan(1/2*(2*b*x + 3)*sqrt(b*x + 2)*sqrt(-b*x - 1)/(b^2*x^2 + 3*b*x + 2))/b","B",0
1541,1,1,0,0.989987," ","integrate(1/(-b*x-2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","0"," ",0,"0","A",0
1542,1,44,0,0.815433," ","integrate(1/(-b*x-3)^(1/2)/(b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{{\left(2 \, b x + 5\right)} \sqrt{b x + 2} \sqrt{-b x - 3}}{2 \, {\left(b^{2} x^{2} + 5 \, b x + 6\right)}}\right)}{b}"," ",0,"-arctan(1/2*(2*b*x + 5)*sqrt(b*x + 2)*sqrt(-b*x - 3)/(b^2*x^2 + 5*b*x + 6))/b","A",0
1543,1,30,0,1.068982," ","integrate(1/(-b*x+2)^(1/2)/(-b*x+3)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-2 \, b x + 2 \, \sqrt{-b x + 3} \sqrt{-b x + 2} + 5\right)}{b}"," ",0,"-log(-2*b*x + 2*sqrt(-b*x + 3)*sqrt(-b*x + 2) + 5)/b","B",0
1544,1,11,0,0.673215," ","integrate(1/(-b*x+2),x, algorithm=""fricas"")","-\frac{\log\left(b x - 2\right)}{b}"," ",0,"-log(b*x - 2)/b","A",0
1545,1,30,0,0.911604," ","integrate(1/(-b*x+1)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-2 \, b x + 2 \, \sqrt{-b x + 2} \sqrt{-b x + 1} + 3\right)}{b}"," ",0,"-log(-2*b*x + 2*sqrt(-b*x + 2)*sqrt(-b*x + 1) + 3)/b","B",0
1546,1,27,0,0.703335," ","integrate(1/(-b*x)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-b x + \sqrt{-b x + 2} \sqrt{-b x} + 1\right)}{b}"," ",0,"-log(-b*x + sqrt(-b*x + 2)*sqrt(-b*x) + 1)/b","A",0
1547,1,30,0,0.766120," ","integrate(1/(-b*x-1)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-2 \, b x + 2 \, \sqrt{-b x + 2} \sqrt{-b x - 1} + 1\right)}{b}"," ",0,"-log(-2*b*x + 2*sqrt(-b*x + 2)*sqrt(-b*x - 1) + 1)/b","A",0
1548,1,28,0,1.017638," ","integrate(1/(-b*x-2)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-b x + \sqrt{-b x + 2} \sqrt{-b x - 2}\right)}{b}"," ",0,"-log(-b*x + sqrt(-b*x + 2)*sqrt(-b*x - 2))/b","B",0
1549,1,30,0,1.118429," ","integrate(1/(-b*x-3)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-2 \, b x + 2 \, \sqrt{-b x + 2} \sqrt{-b x - 3} - 1\right)}{b}"," ",0,"-log(-2*b*x + 2*sqrt(-b*x + 2)*sqrt(-b*x - 3) - 1)/b","A",0
1550,1,26,0,0.838986," ","integrate(1/(b*x-4)^(1/2)/(b*x+4)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-b x + \sqrt{b x + 4} \sqrt{b x - 4}\right)}{b}"," ",0,"-log(-b*x + sqrt(b*x + 4)*sqrt(b*x - 4))/b","B",0
1551,1,175,0,0.899379," ","integrate(1/((b*c-b)/d+b*x)^(1/2)/(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b d} \log\left(8 \, b d^{2} x^{2} + 8 \, b c^{2} + 8 \, {\left(2 \, b c - b\right)} d x + 4 \, \sqrt{b d} {\left(2 \, d x + 2 \, c - 1\right)} \sqrt{d x + c} \sqrt{\frac{b d x + b c - b}{d}} - 8 \, b c + b\right)}{2 \, b d}, -\frac{\sqrt{-b d} \arctan\left(\frac{\sqrt{-b d} {\left(2 \, d x + 2 \, c - 1\right)} \sqrt{d x + c} \sqrt{\frac{b d x + b c - b}{d}}}{2 \, {\left(b d^{2} x^{2} + b c^{2} + {\left(2 \, b c - b\right)} d x - b c\right)}}\right)}{b d}\right]"," ",0,"[1/2*sqrt(b*d)*log(8*b*d^2*x^2 + 8*b*c^2 + 8*(2*b*c - b)*d*x + 4*sqrt(b*d)*(2*d*x + 2*c - 1)*sqrt(d*x + c)*sqrt((b*d*x + b*c - b)/d) - 8*b*c + b)/(b*d), -sqrt(-b*d)*arctan(1/2*sqrt(-b*d)*(2*d*x + 2*c - 1)*sqrt(d*x + c)*sqrt((b*d*x + b*c - b)/d)/(b*d^2*x^2 + b*c^2 + (2*b*c - b)*d*x - b*c))/(b*d)]","B",0
1552,1,26,0,0.976194," ","integrate(1/x^(1/2)/(-3+2*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(-2 \, \sqrt{2} \sqrt{2 \, x - 3} \sqrt{x} - 4 \, x + 3\right)"," ",0,"1/2*sqrt(2)*log(-2*sqrt(2)*sqrt(2*x - 3)*sqrt(x) - 4*x + 3)","A",0
1553,1,46,0,1.073988," ","integrate(1/(-3+2*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3} \sqrt{2} \log\left(4 \, \sqrt{3} \sqrt{2} {\left(12 \, x - 5\right)} \sqrt{3 \, x + 2} \sqrt{2 \, x - 3} + 288 \, x^{2} - 240 \, x - 119\right)"," ",0,"1/12*sqrt(3)*sqrt(2)*log(4*sqrt(3)*sqrt(2)*(12*x - 5)*sqrt(3*x + 2)*sqrt(2*x - 3) + 288*x^2 - 240*x - 119)","B",0
1554,1,176,0,0.846690," ","integrate(1/((-b*c+b)/d+b*x)^(1/2)/(-d*x+c)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b d} \log\left(8 \, b d^{2} x^{2} + 8 \, b c^{2} - 8 \, {\left(2 \, b c - b\right)} d x - 4 \, \sqrt{-b d} {\left(2 \, d x - 2 \, c + 1\right)} \sqrt{-d x + c} \sqrt{\frac{b d x - b c + b}{d}} - 8 \, b c + b\right)}{2 \, b d}, -\frac{\sqrt{b d} \arctan\left(\frac{\sqrt{b d} {\left(2 \, d x - 2 \, c + 1\right)} \sqrt{-d x + c} \sqrt{\frac{b d x - b c + b}{d}}}{2 \, {\left(b d^{2} x^{2} + b c^{2} - {\left(2 \, b c - b\right)} d x - b c\right)}}\right)}{b d}\right]"," ",0,"[-1/2*sqrt(-b*d)*log(8*b*d^2*x^2 + 8*b*c^2 - 8*(2*b*c - b)*d*x - 4*sqrt(-b*d)*(2*d*x - 2*c + 1)*sqrt(-d*x + c)*sqrt((b*d*x - b*c + b)/d) - 8*b*c + b)/(b*d), -sqrt(b*d)*arctan(1/2*sqrt(b*d)*(2*d*x - 2*c + 1)*sqrt(-d*x + c)*sqrt((b*d*x - b*c + b)/d)/(b*d^2*x^2 + b*c^2 - (2*b*c - b)*d*x - b*c))/(b*d)]","B",0
1555,1,14,0,0.982177," ","integrate(1/(4-x)^(1/2)/x^(1/2),x, algorithm=""fricas"")","-2 \, \arctan\left(\frac{\sqrt{-x + 4}}{\sqrt{x}}\right)"," ",0,"-2*arctan(sqrt(-x + 4)/sqrt(x))","B",0
1556,1,21,0,1.071698," ","integrate(1/(3-2*x)^(1/2)/x^(1/2),x, algorithm=""fricas"")","-\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
1557,1,44,0,0.772441," ","integrate(1/(3-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{5} \, \sqrt{5} \sqrt{2} \arctan\left(\frac{\sqrt{5} \sqrt{2} \sqrt{5 \, x + 3} \sqrt{-2 \, x + 3} - 3 \, \sqrt{5} \sqrt{2}}{10 \, x}\right)"," ",0,"-1/5*sqrt(5)*sqrt(2)*arctan(1/10*(sqrt(5)*sqrt(2)*sqrt(5*x + 3)*sqrt(-2*x + 3) - 3*sqrt(5)*sqrt(2))/x)","B",0
1558,1,185,0,0.727830," ","integrate(1/(-b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} - 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b d x + b c - a d\right)} \sqrt{-b d} \sqrt{-b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d - a b d^{2}\right)} x\right)}{2 \, b d}, -\frac{\sqrt{b d} \arctan\left(\frac{{\left(2 \, b d x + b c - a d\right)} \sqrt{b d} \sqrt{-b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} - a b c d + {\left(b^{2} c d - a b d^{2}\right)} x\right)}}\right)}{b d}\right]"," ",0,"[-1/2*sqrt(-b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 - 6*a*b*c*d + a^2*d^2 - 4*(2*b*d*x + b*c - a*d)*sqrt(-b*d)*sqrt(-b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d - a*b*d^2)*x)/(b*d), -sqrt(b*d)*arctan(1/2*(2*b*d*x + b*c - a*d)*sqrt(b*d)*sqrt(-b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 - a*b*c*d + (b^2*c*d - a*b*d^2)*x))/(b*d)]","B",0
1559,0,0,0,0.846884," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((b*x + a)^(3/2)*(d*x + c)^(1/3), x)","F",0
1560,0,0,0,1.277545," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/3), x)","F",0
1561,0,0,0,1.103917," ","integrate((d*x+c)^(1/3)/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}}}{\sqrt{b x + a}}, x\right)"," ",0,"integral((d*x + c)^(1/3)/sqrt(b*x + a), x)","F",0
1562,0,0,0,1.123988," ","integrate((d*x+c)^(1/3)/(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/3)/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1563,0,0,0,1.023604," ","integrate((d*x+c)^(1/3)/(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/3)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
1564,0,0,0,1.146789," ","integrate((d*x+c)^(1/3)/(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}}}{b^{4} x^{4} + 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a^{3} b x + a^{4}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/3)/(b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x + a^4), x)","F",0
1565,0,0,0,1.388352," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((b*x + a)^(3/2)/(d*x + c)^(1/3), x)","F",0
1566,0,0,0,1.150195," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral(sqrt(b*x + a)/(d*x + c)^(1/3), x)","F",0
1567,0,0,0,1.159156," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{2}{3}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(2/3)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1568,0,0,0,1.199306," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{2}{3}}}{b^{2} d x^{3} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2} + {\left(2 \, a b c + a^{2} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(2/3)/(b^2*d*x^3 + a^2*c + (b^2*c + 2*a*b*d)*x^2 + (2*a*b*c + a^2*d)*x), x)","F",0
1569,0,0,0,1.277942," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{2}{3}}}{b^{3} d x^{4} + a^{3} c + {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{3} + 3 \, {\left(a b^{2} c + a^{2} b d\right)} x^{2} + {\left(3 \, a^{2} b c + a^{3} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(2/3)/(b^3*d*x^4 + a^3*c + (b^3*c + 3*a*b^2*d)*x^3 + 3*(a*b^2*c + a^2*b*d)*x^2 + (3*a^2*b*c + a^3*d)*x), x)","F",0
1570,0,0,0,1.237709," ","integrate((b*x+a)^(3/2)/(d*x+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((b*x + a)^(3/2)/(d*x + c)^(2/3), x)","F",0
1571,0,0,0,0.730474," ","integrate((b*x+a)^(1/2)/(d*x+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral(sqrt(b*x + a)/(d*x + c)^(2/3), x)","F",0
1572,0,0,0,1.144435," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/3)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1573,0,0,0,0.975971," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}}}{b^{2} d x^{3} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2} + {\left(2 \, a b c + a^{2} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/3)/(b^2*d*x^3 + a^2*c + (b^2*c + 2*a*b*d)*x^2 + (2*a*b*c + a^2*d)*x), x)","F",0
1574,0,0,0,1.108146," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}}}{b^{3} d x^{4} + a^{3} c + {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{3} + 3 \, {\left(a b^{2} c + a^{2} b d\right)} x^{2} + {\left(3 \, a^{2} b c + a^{3} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/3)/(b^3*d*x^4 + a^3*c + (b^3*c + 3*a*b^2*d)*x^3 + 3*(a*b^2*c + a^2*b*d)*x^2 + (3*a^2*b*c + a^3*d)*x), x)","F",0
1575,1,717,0,0.885428," ","integrate((b*x+a)^(2/3)*(d*x+c)^(1/3),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} \sqrt{-\frac{\left(b d^{2}\right)^{\frac{1}{3}}}{b}} \log\left(-3 \, b d^{2} x - 2 \, b c d - a d^{2} + 3 \, \left(b d^{2}\right)^{\frac{1}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} d + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d - \left(b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - \left(b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}\right)} \sqrt{-\frac{\left(b d^{2}\right)^{\frac{1}{3}}}{b}}\right) + 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(b d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}}{b x + a}\right) - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(b d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d + \left(b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + \left(b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}}{b x + a}\right) + 3 \, {\left(3 \, b^{2} d^{3} x + b^{2} c d^{2} + 2 \, a b d^{3}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{18 \, b^{2} d^{3}}, -\frac{6 \, \sqrt{\frac{1}{3}} {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} \sqrt{\frac{\left(b d^{2}\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + \left(b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}\right)} \sqrt{\frac{\left(b d^{2}\right)^{\frac{1}{3}}}{b}}}{b d^{2} x + a d^{2}}\right) - 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(b d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}}{b x + a}\right) + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(b d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d + \left(b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + \left(b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}}{b x + a}\right) - 3 \, {\left(3 \, b^{2} d^{3} x + b^{2} c d^{2} + 2 \, a b d^{3}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{18 \, b^{2} d^{3}}\right]"," ",0,"[1/18*(3*sqrt(1/3)*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*sqrt(-(b*d^2)^(1/3)/b)*log(-3*b*d^2*x - 2*b*c*d - a*d^2 + 3*(b*d^2)^(1/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3)*d + 3*sqrt(1/3)*(2*(b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d - (b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b*d^2)^(1/3)*(b*d*x + a*d))*sqrt(-(b*d^2)^(1/3)/b)) + 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*d^2)^(2/3)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (b*d^2)^(2/3)*(b*x + a))/(b*x + a)) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*d^2)^(2/3)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d + (b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b*d^2)^(1/3)*(b*d*x + a*d))/(b*x + a)) + 3*(3*b^2*d^3*x + b^2*c*d^2 + 2*a*b*d^3)*(b*x + a)^(2/3)*(d*x + c)^(1/3))/(b^2*d^3), -1/18*(6*sqrt(1/3)*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*sqrt((b*d^2)^(1/3)/b)*arctan(sqrt(1/3)*(2*(b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b*d^2)^(1/3)*(b*d*x + a*d))*sqrt((b*d^2)^(1/3)/b)/(b*d^2*x + a*d^2)) - 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*d^2)^(2/3)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (b*d^2)^(2/3)*(b*x + a))/(b*x + a)) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*d^2)^(2/3)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d + (b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b*d^2)^(1/3)*(b*d*x + a*d))/(b*x + a)) - 3*(3*b^2*d^3*x + b^2*c*d^2 + 2*a*b*d^3)*(b*x + a)^(2/3)*(d*x + c)^(1/3))/(b^2*d^3)]","A",0
1576,1,596,0,0.978128," ","integrate((d*x+c)^(1/3)/(b*x+a)^(1/3),x, algorithm=""fricas"")","\left[\frac{6 \, {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(b^{2} c d - a b d^{2}\right)} \sqrt{-\frac{\left(b d^{2}\right)^{\frac{1}{3}}}{b}} \log\left(-3 \, b d^{2} x - 2 \, b c d - a d^{2} + 3 \, \left(b d^{2}\right)^{\frac{1}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} d + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d - \left(b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - \left(b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}\right)} \sqrt{-\frac{\left(b d^{2}\right)^{\frac{1}{3}}}{b}}\right) - 2 \, \left(b d^{2}\right)^{\frac{2}{3}} {\left(b c - a d\right)} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}}{b x + a}\right) + \left(b d^{2}\right)^{\frac{2}{3}} {\left(b c - a d\right)} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d + \left(b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + \left(b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}}{b x + a}\right)}{6 \, b^{2} d^{2}}, \frac{6 \, {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d^{2} + 6 \, \sqrt{\frac{1}{3}} {\left(b^{2} c d - a b d^{2}\right)} \sqrt{\frac{\left(b d^{2}\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + \left(b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}\right)} \sqrt{\frac{\left(b d^{2}\right)^{\frac{1}{3}}}{b}}}{b d^{2} x + a d^{2}}\right) - 2 \, \left(b d^{2}\right)^{\frac{2}{3}} {\left(b c - a d\right)} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}}{b x + a}\right) + \left(b d^{2}\right)^{\frac{2}{3}} {\left(b c - a d\right)} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d + \left(b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + \left(b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}}{b x + a}\right)}{6 \, b^{2} d^{2}}\right]"," ",0,"[1/6*(6*(b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d^2 - 3*sqrt(1/3)*(b^2*c*d - a*b*d^2)*sqrt(-(b*d^2)^(1/3)/b)*log(-3*b*d^2*x - 2*b*c*d - a*d^2 + 3*(b*d^2)^(1/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3)*d + 3*sqrt(1/3)*(2*(b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d - (b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b*d^2)^(1/3)*(b*d*x + a*d))*sqrt(-(b*d^2)^(1/3)/b)) - 2*(b*d^2)^(2/3)*(b*c - a*d)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (b*d^2)^(2/3)*(b*x + a))/(b*x + a)) + (b*d^2)^(2/3)*(b*c - a*d)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d + (b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b*d^2)^(1/3)*(b*d*x + a*d))/(b*x + a)))/(b^2*d^2), 1/6*(6*(b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d^2 + 6*sqrt(1/3)*(b^2*c*d - a*b*d^2)*sqrt((b*d^2)^(1/3)/b)*arctan(sqrt(1/3)*(2*(b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b*d^2)^(1/3)*(b*d*x + a*d))*sqrt((b*d^2)^(1/3)/b)/(b*d^2*x + a*d^2)) - 2*(b*d^2)^(2/3)*(b*c - a*d)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (b*d^2)^(2/3)*(b*x + a))/(b*x + a)) + (b*d^2)^(2/3)*(b*c - a*d)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d + (b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b*d^2)^(1/3)*(b*d*x + a*d))/(b*x + a)))/(b^2*d^2)]","B",0
1577,1,233,0,1.065343," ","integrate((d*x+c)^(1/3)/(b*x+a)^(4/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(b x + a\right)} \left(-\frac{d}{b}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b \left(-\frac{d}{b}\right)^{\frac{2}{3}} + \sqrt{3} {\left(b d x + a d\right)}}{3 \, {\left(b d x + a d\right)}}\right) + {\left(b x + a\right)} \left(-\frac{d}{b}\right)^{\frac{1}{3}} \log\left(\frac{{\left(b x + a\right)} \left(-\frac{d}{b}\right)^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} \left(-\frac{d}{b}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{b x + a}\right) - 2 \, {\left(b x + a\right)} \left(-\frac{d}{b}\right)^{\frac{1}{3}} \log\left(\frac{{\left(b x + a\right)} \left(-\frac{d}{b}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{b x + a}\right) + 6 \, {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{2 \, {\left(b^{2} x + a b\right)}}"," ",0,"-1/2*(2*sqrt(3)*(b*x + a)*(-d/b)^(1/3)*arctan(1/3*(2*sqrt(3)*(b*x + a)^(2/3)*(d*x + c)^(1/3)*b*(-d/b)^(2/3) + sqrt(3)*(b*d*x + a*d))/(b*d*x + a*d)) + (b*x + a)*(-d/b)^(1/3)*log(((b*x + a)*(-d/b)^(2/3) - (b*x + a)^(2/3)*(d*x + c)^(1/3)*(-d/b)^(1/3) + (b*x + a)^(1/3)*(d*x + c)^(2/3))/(b*x + a)) - 2*(b*x + a)*(-d/b)^(1/3)*log(((b*x + a)*(-d/b)^(1/3) + (b*x + a)^(2/3)*(d*x + c)^(1/3))/(b*x + a)) + 6*(b*x + a)^(2/3)*(d*x + c)^(1/3))/(b^2*x + a*b)","B",0
1578,1,65,0,0.991758," ","integrate((d*x+c)^(1/3)/(b*x+a)^(7/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}{4 \, {\left(a^{2} b c - a^{3} d + {\left(b^{3} c - a b^{2} d\right)} x^{2} + 2 \, {\left(a b^{2} c - a^{2} b d\right)} x\right)}}"," ",0,"-3/4*(b*x + a)^(2/3)*(d*x + c)^(4/3)/(a^2*b*c - a^3*d + (b^3*c - a*b^2*d)*x^2 + 2*(a*b^2*c - a^2*b*d)*x)","B",0
1579,1,175,0,1.077990," ","integrate((d*x+c)^(1/3)/(b*x+a)^(10/3),x, algorithm=""fricas"")","\frac{3 \, {\left(3 \, b d^{2} x^{2} - 4 \, b c^{2} + 7 \, a c d - {\left(b c d - 7 \, a d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{28 \, {\left(a^{3} b^{2} c^{2} - 2 \, a^{4} b c d + a^{5} d^{2} + {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} x^{3} + 3 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} x^{2} + 3 \, {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} x\right)}}"," ",0,"3/28*(3*b*d^2*x^2 - 4*b*c^2 + 7*a*c*d - (b*c*d - 7*a*d^2)*x)*(b*x + a)^(2/3)*(d*x + c)^(1/3)/(a^3*b^2*c^2 - 2*a^4*b*c*d + a^5*d^2 + (b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*x^3 + 3*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*x^2 + 3*(a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*x)","B",0
1580,1,337,0,0.867745," ","integrate((d*x+c)^(1/3)/(b*x+a)^(13/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(9 \, b^{2} d^{3} x^{3} + 14 \, b^{2} c^{3} - 40 \, a b c^{2} d + 35 \, a^{2} c d^{2} - 3 \, {\left(b^{2} c d^{2} - 10 \, a b d^{3}\right)} x^{2} + {\left(2 \, b^{2} c^{2} d - 10 \, a b c d^{2} + 35 \, a^{2} d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{140 \, {\left(a^{4} b^{3} c^{3} - 3 \, a^{5} b^{2} c^{2} d + 3 \, a^{6} b c d^{2} - a^{7} d^{3} + {\left(b^{7} c^{3} - 3 \, a b^{6} c^{2} d + 3 \, a^{2} b^{5} c d^{2} - a^{3} b^{4} d^{3}\right)} x^{4} + 4 \, {\left(a b^{6} c^{3} - 3 \, a^{2} b^{5} c^{2} d + 3 \, a^{3} b^{4} c d^{2} - a^{4} b^{3} d^{3}\right)} x^{3} + 6 \, {\left(a^{2} b^{5} c^{3} - 3 \, a^{3} b^{4} c^{2} d + 3 \, a^{4} b^{3} c d^{2} - a^{5} b^{2} d^{3}\right)} x^{2} + 4 \, {\left(a^{3} b^{4} c^{3} - 3 \, a^{4} b^{3} c^{2} d + 3 \, a^{5} b^{2} c d^{2} - a^{6} b d^{3}\right)} x\right)}}"," ",0,"-3/140*(9*b^2*d^3*x^3 + 14*b^2*c^3 - 40*a*b*c^2*d + 35*a^2*c*d^2 - 3*(b^2*c*d^2 - 10*a*b*d^3)*x^2 + (2*b^2*c^2*d - 10*a*b*c*d^2 + 35*a^2*d^3)*x)*(b*x + a)^(2/3)*(d*x + c)^(1/3)/(a^4*b^3*c^3 - 3*a^5*b^2*c^2*d + 3*a^6*b*c*d^2 - a^7*d^3 + (b^7*c^3 - 3*a*b^6*c^2*d + 3*a^2*b^5*c*d^2 - a^3*b^4*d^3)*x^4 + 4*(a*b^6*c^3 - 3*a^2*b^5*c^2*d + 3*a^3*b^4*c*d^2 - a^4*b^3*d^3)*x^3 + 6*(a^2*b^5*c^3 - 3*a^3*b^4*c^2*d + 3*a^4*b^3*c*d^2 - a^5*b^2*d^3)*x^2 + 4*(a^3*b^4*c^3 - 3*a^4*b^3*c^2*d + 3*a^5*b^2*c*d^2 - a^6*b*d^3)*x)","B",0
1581,1,533,0,1.110346," ","integrate((d*x+c)^(1/3)/(b*x+a)^(16/3),x, algorithm=""fricas"")","\frac{3 \, {\left(81 \, b^{3} d^{4} x^{4} - 140 \, b^{3} c^{4} + 546 \, a b^{2} c^{3} d - 780 \, a^{2} b c^{2} d^{2} + 455 \, a^{3} c d^{3} - 27 \, {\left(b^{3} c d^{3} - 13 \, a b^{2} d^{4}\right)} x^{3} + 9 \, {\left(2 \, b^{3} c^{2} d^{2} - 13 \, a b^{2} c d^{3} + 65 \, a^{2} b d^{4}\right)} x^{2} - {\left(14 \, b^{3} c^{3} d - 78 \, a b^{2} c^{2} d^{2} + 195 \, a^{2} b c d^{3} - 455 \, a^{3} d^{4}\right)} x\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{1820 \, {\left(a^{5} b^{4} c^{4} - 4 \, a^{6} b^{3} c^{3} d + 6 \, a^{7} b^{2} c^{2} d^{2} - 4 \, a^{8} b c d^{3} + a^{9} d^{4} + {\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} x^{5} + 5 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} x^{4} + 10 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} x^{3} + 10 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} x^{2} + 5 \, {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4}\right)} x\right)}}"," ",0,"3/1820*(81*b^3*d^4*x^4 - 140*b^3*c^4 + 546*a*b^2*c^3*d - 780*a^2*b*c^2*d^2 + 455*a^3*c*d^3 - 27*(b^3*c*d^3 - 13*a*b^2*d^4)*x^3 + 9*(2*b^3*c^2*d^2 - 13*a*b^2*c*d^3 + 65*a^2*b*d^4)*x^2 - (14*b^3*c^3*d - 78*a*b^2*c^2*d^2 + 195*a^2*b*c*d^3 - 455*a^3*d^4)*x)*(b*x + a)^(2/3)*(d*x + c)^(1/3)/(a^5*b^4*c^4 - 4*a^6*b^3*c^3*d + 6*a^7*b^2*c^2*d^2 - 4*a^8*b*c*d^3 + a^9*d^4 + (b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*x^5 + 5*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*x^4 + 10*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*x^3 + 10*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*x^2 + 5*(a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4)*x)","B",0
1582,0,0,0,0.994494," ","integrate((b*x+a)^(4/3)*(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((b*x + a)^(4/3)*(d*x + c)^(1/3), x)","F",0
1583,0,0,0,0.957907," ","integrate((b*x+a)^(1/3)*(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((b*x + a)^(1/3)*(d*x + c)^(1/3), x)","F",0
1584,0,0,0,0.846754," ","integrate((d*x+c)^(1/3)/(b*x+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((d*x + c)^(1/3)/(b*x + a)^(2/3), x)","F",0
1585,0,0,0,1.048880," ","integrate((d*x+c)^(1/3)/(b*x+a)^(5/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral((b*x + a)^(1/3)*(d*x + c)^(1/3)/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1586,0,0,0,0.934456," ","integrate((d*x+c)^(1/3)/(b*x+a)^(8/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}, x\right)"," ",0,"integral((b*x + a)^(1/3)*(d*x + c)^(1/3)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
1587,1,740,0,1.072315," ","integrate((b*x+a)^(4/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","\left[\frac{6 \, \sqrt{\frac{1}{3}} {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} \sqrt{\frac{\left(-b^{2} d\right)^{\frac{1}{3}}}{d}} \log\left(3 \, b^{2} d x + b^{2} c + 2 \, a b d + 3 \, \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b d x + b c\right)}\right)} \sqrt{\frac{\left(-b^{2} d\right)^{\frac{1}{3}}}{d}}\right) + 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(-b^{2} d\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d + \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b d x + b c\right)}}{d x + c}\right) - 4 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(-b^{2} d\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d - \left(-b^{2} d\right)^{\frac{2}{3}} {\left(d x + c\right)}}{d x + c}\right) + 3 \, {\left(3 \, b^{3} d^{2} x - 4 \, b^{3} c d + 7 \, a b^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{18 \, b^{2} d^{3}}, \frac{12 \, \sqrt{\frac{1}{3}} {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} \sqrt{-\frac{\left(-b^{2} d\right)^{\frac{1}{3}}}{d}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b d x + b c\right)}\right)} \sqrt{-\frac{\left(-b^{2} d\right)^{\frac{1}{3}}}{d}}}{b^{2} d x + b^{2} c}\right) + 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(-b^{2} d\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d + \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b d x + b c\right)}}{d x + c}\right) - 4 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(-b^{2} d\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d - \left(-b^{2} d\right)^{\frac{2}{3}} {\left(d x + c\right)}}{d x + c}\right) + 3 \, {\left(3 \, b^{3} d^{2} x - 4 \, b^{3} c d + 7 \, a b^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{18 \, b^{2} d^{3}}\right]"," ",0,"[1/18*(6*sqrt(1/3)*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*sqrt((-b^2*d)^(1/3)/d)*log(3*b^2*d*x + b^2*c + 2*a*b*d + 3*(-b^2*d)^(1/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3)*b + 3*sqrt(1/3)*(2*(b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (-b^2*d)^(2/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (-b^2*d)^(1/3)*(b*d*x + b*c))*sqrt((-b^2*d)^(1/3)/d)) + 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(-b^2*d)^(2/3)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d + (-b^2*d)^(2/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (-b^2*d)^(1/3)*(b*d*x + b*c))/(d*x + c)) - 4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(-b^2*d)^(2/3)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d - (-b^2*d)^(2/3)*(d*x + c))/(d*x + c)) + 3*(3*b^3*d^2*x - 4*b^3*c*d + 7*a*b^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3))/(b^2*d^3), 1/18*(12*sqrt(1/3)*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*sqrt(-(-b^2*d)^(1/3)/d)*arctan(sqrt(1/3)*(2*(-b^2*d)^(2/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (-b^2*d)^(1/3)*(b*d*x + b*c))*sqrt(-(-b^2*d)^(1/3)/d)/(b^2*d*x + b^2*c)) + 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(-b^2*d)^(2/3)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d + (-b^2*d)^(2/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (-b^2*d)^(1/3)*(b*d*x + b*c))/(d*x + c)) - 4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(-b^2*d)^(2/3)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d - (-b^2*d)^(2/3)*(d*x + c))/(d*x + c)) + 3*(3*b^3*d^2*x - 4*b^3*c*d + 7*a*b^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3))/(b^2*d^3)]","B",0
1588,1,618,0,1.129172," ","integrate((b*x+a)^(1/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","\left[\frac{6 \, {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} d - 3 \, \sqrt{\frac{1}{3}} {\left(b^{2} c d - a b d^{2}\right)} \sqrt{\frac{\left(-b^{2} d\right)^{\frac{1}{3}}}{d}} \log\left(3 \, b^{2} d x + b^{2} c + 2 \, a b d + 3 \, \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b d x + b c\right)}\right)} \sqrt{\frac{\left(-b^{2} d\right)^{\frac{1}{3}}}{d}}\right) - \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b c - a d\right)} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d + \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b d x + b c\right)}}{d x + c}\right) + 2 \, \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b c - a d\right)} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d - \left(-b^{2} d\right)^{\frac{2}{3}} {\left(d x + c\right)}}{d x + c}\right)}{6 \, b^{2} d^{2}}, \frac{6 \, {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} d - 6 \, \sqrt{\frac{1}{3}} {\left(b^{2} c d - a b d^{2}\right)} \sqrt{-\frac{\left(-b^{2} d\right)^{\frac{1}{3}}}{d}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b d x + b c\right)}\right)} \sqrt{-\frac{\left(-b^{2} d\right)^{\frac{1}{3}}}{d}}}{b^{2} d x + b^{2} c}\right) - \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b c - a d\right)} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d + \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b d x + b c\right)}}{d x + c}\right) + 2 \, \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b c - a d\right)} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d - \left(-b^{2} d\right)^{\frac{2}{3}} {\left(d x + c\right)}}{d x + c}\right)}{6 \, b^{2} d^{2}}\right]"," ",0,"[1/6*(6*(b*x + a)^(1/3)*(d*x + c)^(2/3)*b^2*d - 3*sqrt(1/3)*(b^2*c*d - a*b*d^2)*sqrt((-b^2*d)^(1/3)/d)*log(3*b^2*d*x + b^2*c + 2*a*b*d + 3*(-b^2*d)^(1/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3)*b + 3*sqrt(1/3)*(2*(b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (-b^2*d)^(2/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (-b^2*d)^(1/3)*(b*d*x + b*c))*sqrt((-b^2*d)^(1/3)/d)) - (-b^2*d)^(2/3)*(b*c - a*d)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d + (-b^2*d)^(2/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (-b^2*d)^(1/3)*(b*d*x + b*c))/(d*x + c)) + 2*(-b^2*d)^(2/3)*(b*c - a*d)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d - (-b^2*d)^(2/3)*(d*x + c))/(d*x + c)))/(b^2*d^2), 1/6*(6*(b*x + a)^(1/3)*(d*x + c)^(2/3)*b^2*d - 6*sqrt(1/3)*(b^2*c*d - a*b*d^2)*sqrt(-(-b^2*d)^(1/3)/d)*arctan(sqrt(1/3)*(2*(-b^2*d)^(2/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (-b^2*d)^(1/3)*(b*d*x + b*c))*sqrt(-(-b^2*d)^(1/3)/d)/(b^2*d*x + b^2*c)) - (-b^2*d)^(2/3)*(b*c - a*d)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d + (-b^2*d)^(2/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (-b^2*d)^(1/3)*(b*d*x + b*c))/(d*x + c)) + 2*(-b^2*d)^(2/3)*(b*c - a*d)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d - (-b^2*d)^(2/3)*(d*x + c))/(d*x + c)))/(b^2*d^2)]","B",0
1589,1,519,0,0.714534," ","integrate(1/(b*x+a)^(2/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} b d \sqrt{\frac{\left(-b^{2} d\right)^{\frac{1}{3}}}{d}} \log\left(3 \, b^{2} d x + b^{2} c + 2 \, a b d + 3 \, \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b + \sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b d x + b c\right)}\right)} \sqrt{\frac{\left(-b^{2} d\right)^{\frac{1}{3}}}{d}}\right) + \left(-b^{2} d\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d + \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b d x + b c\right)}}{d x + c}\right) - 2 \, \left(-b^{2} d\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d - \left(-b^{2} d\right)^{\frac{2}{3}} {\left(d x + c\right)}}{d x + c}\right)}{2 \, b^{2} d}, \frac{2 \, \sqrt{3} b d \sqrt{-\frac{\left(-b^{2} d\right)^{\frac{1}{3}}}{d}} \arctan\left(\frac{\sqrt{3} {\left(2 \, \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b d x + b c\right)}\right)} \sqrt{-\frac{\left(-b^{2} d\right)^{\frac{1}{3}}}{d}}}{3 \, {\left(b^{2} d x + b^{2} c\right)}}\right) + \left(-b^{2} d\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d + \left(-b^{2} d\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - \left(-b^{2} d\right)^{\frac{1}{3}} {\left(b d x + b c\right)}}{d x + c}\right) - 2 \, \left(-b^{2} d\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d - \left(-b^{2} d\right)^{\frac{2}{3}} {\left(d x + c\right)}}{d x + c}\right)}{2 \, b^{2} d}\right]"," ",0,"[1/2*(sqrt(3)*b*d*sqrt((-b^2*d)^(1/3)/d)*log(3*b^2*d*x + b^2*c + 2*a*b*d + 3*(-b^2*d)^(1/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3)*b + sqrt(3)*(2*(b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (-b^2*d)^(2/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (-b^2*d)^(1/3)*(b*d*x + b*c))*sqrt((-b^2*d)^(1/3)/d)) + (-b^2*d)^(2/3)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d + (-b^2*d)^(2/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (-b^2*d)^(1/3)*(b*d*x + b*c))/(d*x + c)) - 2*(-b^2*d)^(2/3)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d - (-b^2*d)^(2/3)*(d*x + c))/(d*x + c)))/(b^2*d), 1/2*(2*sqrt(3)*b*d*sqrt(-(-b^2*d)^(1/3)/d)*arctan(1/3*sqrt(3)*(2*(-b^2*d)^(2/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (-b^2*d)^(1/3)*(b*d*x + b*c))*sqrt(-(-b^2*d)^(1/3)/d)/(b^2*d*x + b^2*c)) + (-b^2*d)^(2/3)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d + (-b^2*d)^(2/3)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (-b^2*d)^(1/3)*(b*d*x + b*c))/(d*x + c)) - 2*(-b^2*d)^(2/3)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d - (-b^2*d)^(2/3)*(d*x + c))/(d*x + c)))/(b^2*d)]","B",0
1590,1,42,0,1.319809," ","integrate(1/(b*x+a)^(5/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{2 \, {\left(a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x\right)}}"," ",0,"-3/2*(b*x + a)^(1/3)*(d*x + c)^(2/3)/(a*b*c - a^2*d + (b^2*c - a*b*d)*x)","A",0
1591,1,118,0,1.396718," ","integrate(1/(b*x+a)^(8/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(3 \, b d x - 2 \, b c + 5 \, a d\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{10 \, {\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,"3/10*(3*b*d*x - 2*b*c + 5*a*d)*(b*x + a)^(1/3)*(d*x + c)^(2/3)/(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
1592,1,251,0,1.588146," ","integrate(1/(b*x+a)^(11/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(9 \, b^{2} d^{2} x^{2} + 5 \, b^{2} c^{2} - 16 \, a b c d + 20 \, a^{2} d^{2} - 6 \, {\left(b^{2} c d - 4 \, a b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{40 \, {\left(a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3} + {\left(b^{6} c^{3} - 3 \, a b^{5} c^{2} d + 3 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} x^{3} + 3 \, {\left(a b^{5} c^{3} - 3 \, a^{2} b^{4} c^{2} d + 3 \, a^{3} b^{3} c d^{2} - a^{4} b^{2} d^{3}\right)} x^{2} + 3 \, {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{3} c^{2} d + 3 \, a^{4} b^{2} c d^{2} - a^{5} b d^{3}\right)} x\right)}}"," ",0,"-3/40*(9*b^2*d^2*x^2 + 5*b^2*c^2 - 16*a*b*c*d + 20*a^2*d^2 - 6*(b^2*c*d - 4*a*b*d^2)*x)*(b*x + a)^(1/3)*(d*x + c)^(2/3)/(a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3 + (b^6*c^3 - 3*a*b^5*c^2*d + 3*a^2*b^4*c*d^2 - a^3*b^3*d^3)*x^3 + 3*(a*b^5*c^3 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 - a^4*b^2*d^3)*x^2 + 3*(a^2*b^4*c^3 - 3*a^3*b^3*c^2*d + 3*a^4*b^2*c*d^2 - a^5*b*d^3)*x)","B",0
1593,1,420,0,1.407369," ","integrate(1/(b*x+a)^(14/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(81 \, b^{3} d^{3} x^{3} - 40 \, b^{3} c^{3} + 165 \, a b^{2} c^{2} d - 264 \, a^{2} b c d^{2} + 220 \, a^{3} d^{3} - 27 \, {\left(2 \, b^{3} c d^{2} - 11 \, a b^{2} d^{3}\right)} x^{2} + 9 \, {\left(5 \, b^{3} c^{2} d - 22 \, a b^{2} c d^{2} + 44 \, a^{2} b d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{440 \, {\left(a^{4} b^{4} c^{4} - 4 \, a^{5} b^{3} c^{3} d + 6 \, a^{6} b^{2} c^{2} d^{2} - 4 \, a^{7} b c d^{3} + a^{8} d^{4} + {\left(b^{8} c^{4} - 4 \, a b^{7} c^{3} d + 6 \, a^{2} b^{6} c^{2} d^{2} - 4 \, a^{3} b^{5} c d^{3} + a^{4} b^{4} d^{4}\right)} x^{4} + 4 \, {\left(a b^{7} c^{4} - 4 \, a^{2} b^{6} c^{3} d + 6 \, a^{3} b^{5} c^{2} d^{2} - 4 \, a^{4} b^{4} c d^{3} + a^{5} b^{3} d^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{6} c^{4} - 4 \, a^{3} b^{5} c^{3} d + 6 \, a^{4} b^{4} c^{2} d^{2} - 4 \, a^{5} b^{3} c d^{3} + a^{6} b^{2} d^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{5} c^{4} - 4 \, a^{4} b^{4} c^{3} d + 6 \, a^{5} b^{3} c^{2} d^{2} - 4 \, a^{6} b^{2} c d^{3} + a^{7} b d^{4}\right)} x\right)}}"," ",0,"3/440*(81*b^3*d^3*x^3 - 40*b^3*c^3 + 165*a*b^2*c^2*d - 264*a^2*b*c*d^2 + 220*a^3*d^3 - 27*(2*b^3*c*d^2 - 11*a*b^2*d^3)*x^2 + 9*(5*b^3*c^2*d - 22*a*b^2*c*d^2 + 44*a^2*b*d^3)*x)*(b*x + a)^(1/3)*(d*x + c)^(2/3)/(a^4*b^4*c^4 - 4*a^5*b^3*c^3*d + 6*a^6*b^2*c^2*d^2 - 4*a^7*b*c*d^3 + a^8*d^4 + (b^8*c^4 - 4*a*b^7*c^3*d + 6*a^2*b^6*c^2*d^2 - 4*a^3*b^5*c*d^3 + a^4*b^4*d^4)*x^4 + 4*(a*b^7*c^4 - 4*a^2*b^6*c^3*d + 6*a^3*b^5*c^2*d^2 - 4*a^4*b^4*c*d^3 + a^5*b^3*d^4)*x^3 + 6*(a^2*b^6*c^4 - 4*a^3*b^5*c^3*d + 6*a^4*b^4*c^2*d^2 - 4*a^5*b^3*c*d^3 + a^6*b^2*d^4)*x^2 + 4*(a^3*b^5*c^4 - 4*a^4*b^4*c^3*d + 6*a^5*b^3*c^2*d^2 - 4*a^6*b^2*c*d^3 + a^7*b*d^4)*x)","B",0
1594,0,0,0,0.824054," ","integrate((b*x+a)^(8/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2)*(b*x + a)^(2/3)/(d*x + c)^(1/3), x)","F",0
1595,0,0,0,1.009082," ","integrate((b*x+a)^(5/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((b*x + a)^(5/3)/(d*x + c)^(1/3), x)","F",0
1596,0,0,0,1.352228," ","integrate((b*x+a)^(2/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((b*x + a)^(2/3)/(d*x + c)^(1/3), x)","F",0
1597,0,0,0,1.202495," ","integrate(1/(b*x+a)^(1/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(2/3)*(d*x + c)^(2/3)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1598,0,0,0,1.227651," ","integrate(1/(b*x+a)^(4/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{b^{2} d x^{3} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2} + {\left(2 \, a b c + a^{2} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(2/3)*(d*x + c)^(2/3)/(b^2*d*x^3 + a^2*c + (b^2*c + 2*a*b*d)*x^2 + (2*a*b*c + a^2*d)*x), x)","F",0
1599,0,0,0,1.653985," ","integrate(1/(b*x+a)^(7/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{b^{3} d x^{4} + a^{3} c + {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{3} + 3 \, {\left(a b^{2} c + a^{2} b d\right)} x^{2} + {\left(3 \, a^{2} b c + a^{3} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(2/3)*(d*x + c)^(2/3)/(b^3*d*x^4 + a^3*c + (b^3*c + 3*a*b^2*d)*x^3 + 3*(a*b^2*c + a^2*b*d)*x^2 + (3*a^2*b*c + a^3*d)*x), x)","F",0
1600,0,0,0,1.557157," ","integrate(1/(b*x+a)^(10/3)/(d*x+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{b^{4} d x^{5} + a^{4} c + {\left(b^{4} c + 4 \, a b^{3} d\right)} x^{4} + 2 \, {\left(2 \, a b^{3} c + 3 \, a^{2} b^{2} d\right)} x^{3} + 2 \, {\left(3 \, a^{2} b^{2} c + 2 \, a^{3} b d\right)} x^{2} + {\left(4 \, a^{3} b c + a^{4} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(2/3)*(d*x + c)^(2/3)/(b^4*d*x^5 + a^4*c + (b^4*c + 4*a*b^3*d)*x^4 + 2*(2*a*b^3*c + 3*a^2*b^2*d)*x^3 + 2*(3*a^2*b^2*c + 2*a^3*b*d)*x^2 + (4*a^3*b*c + a^4*d)*x), x)","F",0
1601,1,741,0,1.577569," ","integrate((b*x+a)^(5/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{\frac{1}{3}} {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} \sqrt{\frac{\left(-b d^{2}\right)^{\frac{1}{3}}}{b}} \log\left(-3 \, b d^{2} x - 2 \, b c d - a d^{2} - 3 \, \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} d - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d - \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}\right)} \sqrt{\frac{\left(-b d^{2}\right)^{\frac{1}{3}}}{b}}\right) - 10 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(-b d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}}{b x + a}\right) + 5 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(-b d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d + \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}}{b x + a}\right) + 3 \, {\left(3 \, b^{2} d^{3} x - 5 \, b^{2} c d^{2} + 8 \, a b d^{3}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{18 \, b d^{4}}, \frac{30 \, \sqrt{\frac{1}{3}} {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} \sqrt{-\frac{\left(-b d^{2}\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}\right)} \sqrt{-\frac{\left(-b d^{2}\right)^{\frac{1}{3}}}{b}}}{b d^{2} x + a d^{2}}\right) - 10 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(-b d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}}{b x + a}\right) + 5 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(-b d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d + \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}}{b x + a}\right) + 3 \, {\left(3 \, b^{2} d^{3} x - 5 \, b^{2} c d^{2} + 8 \, a b d^{3}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{18 \, b d^{4}}\right]"," ",0,"[1/18*(15*sqrt(1/3)*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*sqrt((-b*d^2)^(1/3)/b)*log(-3*b*d^2*x - 2*b*c*d - a*d^2 - 3*(-b*d^2)^(1/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3)*d - 3*sqrt(1/3)*(2*(b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d - (-b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (-b*d^2)^(1/3)*(b*d*x + a*d))*sqrt((-b*d^2)^(1/3)/b)) - 10*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(-b*d^2)^(2/3)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (-b*d^2)^(2/3)*(b*x + a))/(b*x + a)) + 5*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(-b*d^2)^(2/3)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d + (-b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (-b*d^2)^(1/3)*(b*d*x + a*d))/(b*x + a)) + 3*(3*b^2*d^3*x - 5*b^2*c*d^2 + 8*a*b*d^3)*(b*x + a)^(2/3)*(d*x + c)^(1/3))/(b*d^4), 1/18*(30*sqrt(1/3)*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*sqrt(-(-b*d^2)^(1/3)/b)*arctan(sqrt(1/3)*(2*(-b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (-b*d^2)^(1/3)*(b*d*x + a*d))*sqrt(-(-b*d^2)^(1/3)/b)/(b*d^2*x + a*d^2)) - 10*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(-b*d^2)^(2/3)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (-b*d^2)^(2/3)*(b*x + a))/(b*x + a)) + 5*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(-b*d^2)^(2/3)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d + (-b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (-b*d^2)^(1/3)*(b*d*x + a*d))/(b*x + a)) + 3*(3*b^2*d^3*x - 5*b^2*c*d^2 + 8*a*b*d^3)*(b*x + a)^(2/3)*(d*x + c)^(1/3))/(b*d^4)]","B",0
1602,1,619,0,1.528690," ","integrate((b*x+a)^(2/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(b^{2} c d - a b d^{2}\right)} \sqrt{\frac{\left(-b d^{2}\right)^{\frac{1}{3}}}{b}} \log\left(-3 \, b d^{2} x - 2 \, b c d - a d^{2} - 3 \, \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} d - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d - \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}\right)} \sqrt{\frac{\left(-b d^{2}\right)^{\frac{1}{3}}}{b}}\right) + 2 \, \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b c - a d\right)} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}}{b x + a}\right) - \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b c - a d\right)} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d + \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}}{b x + a}\right)}{3 \, b d^{3}}, \frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d^{2} - 6 \, \sqrt{\frac{1}{3}} {\left(b^{2} c d - a b d^{2}\right)} \sqrt{-\frac{\left(-b d^{2}\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}\right)} \sqrt{-\frac{\left(-b d^{2}\right)^{\frac{1}{3}}}{b}}}{b d^{2} x + a d^{2}}\right) + 2 \, \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b c - a d\right)} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}}{b x + a}\right) - \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b c - a d\right)} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d + \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}}{b x + a}\right)}{3 \, b d^{3}}\right]"," ",0,"[1/3*(3*(b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d^2 - 3*sqrt(1/3)*(b^2*c*d - a*b*d^2)*sqrt((-b*d^2)^(1/3)/b)*log(-3*b*d^2*x - 2*b*c*d - a*d^2 - 3*(-b*d^2)^(1/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3)*d - 3*sqrt(1/3)*(2*(b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d - (-b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (-b*d^2)^(1/3)*(b*d*x + a*d))*sqrt((-b*d^2)^(1/3)/b)) + 2*(-b*d^2)^(2/3)*(b*c - a*d)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (-b*d^2)^(2/3)*(b*x + a))/(b*x + a)) - (-b*d^2)^(2/3)*(b*c - a*d)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d + (-b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (-b*d^2)^(1/3)*(b*d*x + a*d))/(b*x + a)))/(b*d^3), 1/3*(3*(b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d^2 - 6*sqrt(1/3)*(b^2*c*d - a*b*d^2)*sqrt(-(-b*d^2)^(1/3)/b)*arctan(sqrt(1/3)*(2*(-b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (-b*d^2)^(1/3)*(b*d*x + a*d))*sqrt(-(-b*d^2)^(1/3)/b)/(b*d^2*x + a*d^2)) + 2*(-b*d^2)^(2/3)*(b*c - a*d)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (-b*d^2)^(2/3)*(b*x + a))/(b*x + a)) - (-b*d^2)^(2/3)*(b*c - a*d)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d + (-b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (-b*d^2)^(1/3)*(b*d*x + a*d))/(b*x + a)))/(b*d^3)]","B",0
1603,1,521,0,1.236084," ","integrate(1/(b*x+a)^(1/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} b d \sqrt{\frac{\left(-b d^{2}\right)^{\frac{1}{3}}}{b}} \log\left(-3 \, b d^{2} x - 2 \, b c d - a d^{2} - 3 \, \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} d - \sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d - \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}\right)} \sqrt{\frac{\left(-b d^{2}\right)^{\frac{1}{3}}}{b}}\right) - 2 \, \left(-b d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}}{b x + a}\right) + \left(-b d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d + \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}}{b x + a}\right)}{2 \, b d^{2}}, \frac{2 \, \sqrt{3} b d \sqrt{-\frac{\left(-b d^{2}\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{3} {\left(2 \, \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}\right)} \sqrt{-\frac{\left(-b d^{2}\right)^{\frac{1}{3}}}{b}}}{3 \, {\left(b d^{2} x + a d^{2}\right)}}\right) - 2 \, \left(-b d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b d - \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}}{b x + a}\right) + \left(-b d^{2}\right)^{\frac{2}{3}} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b d + \left(-b d^{2}\right)^{\frac{2}{3}} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - \left(-b d^{2}\right)^{\frac{1}{3}} {\left(b d x + a d\right)}}{b x + a}\right)}{2 \, b d^{2}}\right]"," ",0,"[1/2*(sqrt(3)*b*d*sqrt((-b*d^2)^(1/3)/b)*log(-3*b*d^2*x - 2*b*c*d - a*d^2 - 3*(-b*d^2)^(1/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3)*d - sqrt(3)*(2*(b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d - (-b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (-b*d^2)^(1/3)*(b*d*x + a*d))*sqrt((-b*d^2)^(1/3)/b)) - 2*(-b*d^2)^(2/3)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (-b*d^2)^(2/3)*(b*x + a))/(b*x + a)) + (-b*d^2)^(2/3)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d + (-b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (-b*d^2)^(1/3)*(b*d*x + a*d))/(b*x + a)))/(b*d^2), 1/2*(2*sqrt(3)*b*d*sqrt(-(-b*d^2)^(1/3)/b)*arctan(1/3*sqrt(3)*(2*(-b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (-b*d^2)^(1/3)*(b*d*x + a*d))*sqrt(-(-b*d^2)^(1/3)/b)/(b*d^2*x + a*d^2)) - 2*(-b*d^2)^(2/3)*log(((b*x + a)^(2/3)*(d*x + c)^(1/3)*b*d - (-b*d^2)^(2/3)*(b*x + a))/(b*x + a)) + (-b*d^2)^(2/3)*log(((b*x + a)^(1/3)*(d*x + c)^(2/3)*b*d + (-b*d^2)^(2/3)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (-b*d^2)^(1/3)*(b*d*x + a*d))/(b*x + a)))/(b*d^2)]","B",0
1604,1,42,0,0.737998," ","integrate(1/(b*x+a)^(4/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x}"," ",0,"-3*(b*x + a)^(2/3)*(d*x + c)^(1/3)/(a*b*c - a^2*d + (b^2*c - a*b*d)*x)","A",0
1605,1,118,0,2.108828," ","integrate(1/(b*x+a)^(7/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(3 \, b d x - b c + 4 \, a d\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{4 \, {\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,"3/4*(3*b*d*x - b*c + 4*a*d)*(b*x + a)^(2/3)*(d*x + c)^(1/3)/(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
1606,1,251,0,1.107638," ","integrate(1/(b*x+a)^(10/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(9 \, b^{2} d^{2} x^{2} + 2 \, b^{2} c^{2} - 7 \, a b c d + 14 \, a^{2} d^{2} - 3 \, {\left(b^{2} c d - 7 \, a b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{14 \, {\left(a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3} + {\left(b^{6} c^{3} - 3 \, a b^{5} c^{2} d + 3 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} x^{3} + 3 \, {\left(a b^{5} c^{3} - 3 \, a^{2} b^{4} c^{2} d + 3 \, a^{3} b^{3} c d^{2} - a^{4} b^{2} d^{3}\right)} x^{2} + 3 \, {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{3} c^{2} d + 3 \, a^{4} b^{2} c d^{2} - a^{5} b d^{3}\right)} x\right)}}"," ",0,"-3/14*(9*b^2*d^2*x^2 + 2*b^2*c^2 - 7*a*b*c*d + 14*a^2*d^2 - 3*(b^2*c*d - 7*a*b*d^2)*x)*(b*x + a)^(2/3)*(d*x + c)^(1/3)/(a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3 + (b^6*c^3 - 3*a*b^5*c^2*d + 3*a^2*b^4*c*d^2 - a^3*b^3*d^3)*x^3 + 3*(a*b^5*c^3 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 - a^4*b^2*d^3)*x^2 + 3*(a^2*b^4*c^3 - 3*a^3*b^3*c^2*d + 3*a^4*b^2*c*d^2 - a^5*b*d^3)*x)","B",0
1607,1,419,0,0.832183," ","integrate(1/(b*x+a)^(13/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(81 \, b^{3} d^{3} x^{3} - 14 \, b^{3} c^{3} + 60 \, a b^{2} c^{2} d - 105 \, a^{2} b c d^{2} + 140 \, a^{3} d^{3} - 27 \, {\left(b^{3} c d^{2} - 10 \, a b^{2} d^{3}\right)} x^{2} + 9 \, {\left(2 \, b^{3} c^{2} d - 10 \, a b^{2} c d^{2} + 35 \, a^{2} b d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{140 \, {\left(a^{4} b^{4} c^{4} - 4 \, a^{5} b^{3} c^{3} d + 6 \, a^{6} b^{2} c^{2} d^{2} - 4 \, a^{7} b c d^{3} + a^{8} d^{4} + {\left(b^{8} c^{4} - 4 \, a b^{7} c^{3} d + 6 \, a^{2} b^{6} c^{2} d^{2} - 4 \, a^{3} b^{5} c d^{3} + a^{4} b^{4} d^{4}\right)} x^{4} + 4 \, {\left(a b^{7} c^{4} - 4 \, a^{2} b^{6} c^{3} d + 6 \, a^{3} b^{5} c^{2} d^{2} - 4 \, a^{4} b^{4} c d^{3} + a^{5} b^{3} d^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{6} c^{4} - 4 \, a^{3} b^{5} c^{3} d + 6 \, a^{4} b^{4} c^{2} d^{2} - 4 \, a^{5} b^{3} c d^{3} + a^{6} b^{2} d^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{5} c^{4} - 4 \, a^{4} b^{4} c^{3} d + 6 \, a^{5} b^{3} c^{2} d^{2} - 4 \, a^{6} b^{2} c d^{3} + a^{7} b d^{4}\right)} x\right)}}"," ",0,"3/140*(81*b^3*d^3*x^3 - 14*b^3*c^3 + 60*a*b^2*c^2*d - 105*a^2*b*c*d^2 + 140*a^3*d^3 - 27*(b^3*c*d^2 - 10*a*b^2*d^3)*x^2 + 9*(2*b^3*c^2*d - 10*a*b^2*c*d^2 + 35*a^2*b*d^3)*x)*(b*x + a)^(2/3)*(d*x + c)^(1/3)/(a^4*b^4*c^4 - 4*a^5*b^3*c^3*d + 6*a^6*b^2*c^2*d^2 - 4*a^7*b*c*d^3 + a^8*d^4 + (b^8*c^4 - 4*a*b^7*c^3*d + 6*a^2*b^6*c^2*d^2 - 4*a^3*b^5*c*d^3 + a^4*b^4*d^4)*x^4 + 4*(a*b^7*c^4 - 4*a^2*b^6*c^3*d + 6*a^3*b^5*c^2*d^2 - 4*a^4*b^4*c*d^3 + a^5*b^3*d^4)*x^3 + 6*(a^2*b^6*c^4 - 4*a^3*b^5*c^3*d + 6*a^4*b^4*c^2*d^2 - 4*a^5*b^3*c*d^3 + a^6*b^2*d^4)*x^2 + 4*(a^3*b^5*c^4 - 4*a^4*b^4*c^3*d + 6*a^5*b^3*c^2*d^2 - 4*a^6*b^2*c*d^3 + a^7*b*d^4)*x)","B",0
1608,0,0,0,1.214413," ","integrate((b*x+a)^(7/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2)*(b*x + a)^(1/3)/(d*x + c)^(2/3), x)","F",0
1609,0,0,0,1.558845," ","integrate((b*x+a)^(4/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{4}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((b*x + a)^(4/3)/(d*x + c)^(2/3), x)","F",0
1610,0,0,0,1.362358," ","integrate((b*x+a)^(1/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((b*x + a)^(1/3)/(d*x + c)^(2/3), x)","F",0
1611,0,0,0,1.383569," ","integrate(1/(b*x+a)^(2/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(1/3)*(d*x + c)^(1/3)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1612,0,0,0,1.143774," ","integrate(1/(b*x+a)^(5/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{b^{2} d x^{3} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2} + {\left(2 \, a b c + a^{2} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(1/3)*(d*x + c)^(1/3)/(b^2*d*x^3 + a^2*c + (b^2*c + 2*a*b*d)*x^2 + (2*a*b*c + a^2*d)*x), x)","F",0
1613,0,0,0,1.493869," ","integrate(1/(b*x+a)^(8/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{b^{3} d x^{4} + a^{3} c + {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{3} + 3 \, {\left(a b^{2} c + a^{2} b d\right)} x^{2} + {\left(3 \, a^{2} b c + a^{3} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(1/3)*(d*x + c)^(1/3)/(b^3*d*x^4 + a^3*c + (b^3*c + 3*a*b^2*d)*x^3 + 3*(a*b^2*c + a^2*b*d)*x^2 + (3*a^2*b*c + a^3*d)*x), x)","F",0
1614,0,0,0,1.214499," ","integrate(1/(b*x+a)^(11/3)/(d*x+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{b^{4} d x^{5} + a^{4} c + {\left(b^{4} c + 4 \, a b^{3} d\right)} x^{4} + 2 \, {\left(2 \, a b^{3} c + 3 \, a^{2} b^{2} d\right)} x^{3} + 2 \, {\left(3 \, a^{2} b^{2} c + 2 \, a^{3} b d\right)} x^{2} + {\left(4 \, a^{3} b c + a^{4} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(1/3)*(d*x + c)^(1/3)/(b^4*d*x^5 + a^4*c + (b^4*c + 4*a*b^3*d)*x^4 + 2*(2*a*b^3*c + 3*a^2*b^2*d)*x^3 + 2*(3*a^2*b^2*c + 2*a^3*b*d)*x^2 + (4*a^3*b*c + a^4*d)*x), x)","F",0
1615,1,423,0,1.042133," ","integrate((b*x+a)^(7/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","-\frac{28 \, \sqrt{3} {\left(b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2} + {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} x\right)} \left(-\frac{b}{d}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} d \left(-\frac{b}{d}\right)^{\frac{2}{3}} + \sqrt{3} {\left(b d x + b c\right)}}{3 \, {\left(b d x + b c\right)}}\right) + 14 \, {\left(b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2} + {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} x\right)} \left(-\frac{b}{d}\right)^{\frac{1}{3}} \log\left(\frac{{\left(d x + c\right)} \left(-\frac{b}{d}\right)^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} \left(-\frac{b}{d}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{d x + c}\right) - 28 \, {\left(b^{2} c^{3} - 2 \, a b c^{2} d + a^{2} c d^{2} + {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} x\right)} \left(-\frac{b}{d}\right)^{\frac{1}{3}} \log\left(\frac{{\left(d x + c\right)} \left(-\frac{b}{d}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{d x + c}\right) - 3 \, {\left(3 \, b^{2} d^{2} x^{2} - 28 \, b^{2} c^{2} + 49 \, a b c d - 18 \, a^{2} d^{2} - {\left(7 \, b^{2} c d - 13 \, a b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{18 \, {\left(d^{4} x + c d^{3}\right)}}"," ",0,"-1/18*(28*sqrt(3)*(b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2 + (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*x)*(-b/d)^(1/3)*arctan(1/3*(2*sqrt(3)*(b*x + a)^(1/3)*(d*x + c)^(2/3)*d*(-b/d)^(2/3) + sqrt(3)*(b*d*x + b*c))/(b*d*x + b*c)) + 14*(b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2 + (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*x)*(-b/d)^(1/3)*log(((d*x + c)*(-b/d)^(2/3) - (b*x + a)^(1/3)*(d*x + c)^(2/3)*(-b/d)^(1/3) + (b*x + a)^(2/3)*(d*x + c)^(1/3))/(d*x + c)) - 28*(b^2*c^3 - 2*a*b*c^2*d + a^2*c*d^2 + (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*x)*(-b/d)^(1/3)*log(((d*x + c)*(-b/d)^(1/3) + (b*x + a)^(1/3)*(d*x + c)^(2/3))/(d*x + c)) - 3*(3*b^2*d^2*x^2 - 28*b^2*c^2 + 49*a*b*c*d - 18*a^2*d^2 - (7*b^2*c*d - 13*a*b*d^2)*x)*(b*x + a)^(1/3)*(d*x + c)^(2/3))/(d^4*x + c*d^3)","B",0
1616,1,306,0,1.221839," ","integrate((b*x+a)^(4/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} {\left(b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x\right)} \left(-\frac{b}{d}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} d \left(-\frac{b}{d}\right)^{\frac{2}{3}} + \sqrt{3} {\left(b d x + b c\right)}}{3 \, {\left(b d x + b c\right)}}\right) + 2 \, {\left(b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x\right)} \left(-\frac{b}{d}\right)^{\frac{1}{3}} \log\left(\frac{{\left(d x + c\right)} \left(-\frac{b}{d}\right)^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} \left(-\frac{b}{d}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{d x + c}\right) - 4 \, {\left(b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x\right)} \left(-\frac{b}{d}\right)^{\frac{1}{3}} \log\left(\frac{{\left(d x + c\right)} \left(-\frac{b}{d}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{d x + c}\right) + 3 \, {\left(b d x + 4 \, b c - 3 \, a d\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{3 \, {\left(d^{3} x + c d^{2}\right)}}"," ",0,"1/3*(4*sqrt(3)*(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)*(-b/d)^(1/3)*arctan(1/3*(2*sqrt(3)*(b*x + a)^(1/3)*(d*x + c)^(2/3)*d*(-b/d)^(2/3) + sqrt(3)*(b*d*x + b*c))/(b*d*x + b*c)) + 2*(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)*(-b/d)^(1/3)*log(((d*x + c)*(-b/d)^(2/3) - (b*x + a)^(1/3)*(d*x + c)^(2/3)*(-b/d)^(1/3) + (b*x + a)^(2/3)*(d*x + c)^(1/3))/(d*x + c)) - 4*(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)*(-b/d)^(1/3)*log(((d*x + c)*(-b/d)^(1/3) + (b*x + a)^(1/3)*(d*x + c)^(2/3))/(d*x + c)) + 3*(b*d*x + 4*b*c - 3*a*d)*(b*x + a)^(1/3)*(d*x + c)^(2/3))/(d^3*x + c*d^2)","A",0
1617,1,233,0,1.457501," ","integrate((b*x+a)^(1/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} {\left(d x + c\right)} \left(-\frac{b}{d}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} d \left(-\frac{b}{d}\right)^{\frac{2}{3}} + \sqrt{3} {\left(b d x + b c\right)}}{3 \, {\left(b d x + b c\right)}}\right) + {\left(d x + c\right)} \left(-\frac{b}{d}\right)^{\frac{1}{3}} \log\left(\frac{{\left(d x + c\right)} \left(-\frac{b}{d}\right)^{\frac{2}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} \left(-\frac{b}{d}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{d x + c}\right) - 2 \, {\left(d x + c\right)} \left(-\frac{b}{d}\right)^{\frac{1}{3}} \log\left(\frac{{\left(d x + c\right)} \left(-\frac{b}{d}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{d x + c}\right) + 6 \, {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{2 \, {\left(d^{2} x + c d\right)}}"," ",0,"-1/2*(2*sqrt(3)*(d*x + c)*(-b/d)^(1/3)*arctan(1/3*(2*sqrt(3)*(b*x + a)^(1/3)*(d*x + c)^(2/3)*d*(-b/d)^(2/3) + sqrt(3)*(b*d*x + b*c))/(b*d*x + b*c)) + (d*x + c)*(-b/d)^(1/3)*log(((d*x + c)*(-b/d)^(2/3) - (b*x + a)^(1/3)*(d*x + c)^(2/3)*(-b/d)^(1/3) + (b*x + a)^(2/3)*(d*x + c)^(1/3))/(d*x + c)) - 2*(d*x + c)*(-b/d)^(1/3)*log(((d*x + c)*(-b/d)^(1/3) + (b*x + a)^(1/3)*(d*x + c)^(2/3))/(d*x + c)) + 6*(b*x + a)^(1/3)*(d*x + c)^(2/3))/(d^2*x + c*d)","B",0
1618,1,42,0,0.760036," ","integrate(1/(b*x+a)^(2/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x}"," ",0,"3*(b*x + a)^(1/3)*(d*x + c)^(2/3)/(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)","A",0
1619,1,126,0,1.211542," ","integrate(1/(b*x+a)^(5/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(3 \, b d x + b c + 2 \, a d\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{2 \, {\left(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\right)}}"," ",0,"-3/2*(3*b*d*x + b*c + 2*a*d)*(b*x + a)^(1/3)*(d*x + c)^(2/3)/(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
1620,1,273,0,1.105763," ","integrate(1/(b*x+a)^(8/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(9 \, b^{2} d^{2} x^{2} - b^{2} c^{2} + 5 \, a b c d + 5 \, a^{2} d^{2} + 3 \, {\left(b^{2} c d + 5 \, a b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{5 \, {\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,"3/5*(9*b^2*d^2*x^2 - b^2*c^2 + 5*a*b*c*d + 5*a^2*d^2 + 3*(b^2*c*d + 5*a*b*d^2)*x)*(b*x + a)^(1/3)*(d*x + c)^(2/3)/(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
1621,1,456,0,1.520591," ","integrate(1/(b*x+a)^(11/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(81 \, b^{3} d^{3} x^{3} + 5 \, b^{3} c^{3} - 24 \, a b^{2} c^{2} d + 60 \, a^{2} b c d^{2} + 40 \, a^{3} d^{3} + 27 \, {\left(b^{3} c d^{2} + 8 \, a b^{2} d^{3}\right)} x^{2} - 9 \, {\left(b^{3} c^{2} d - 8 \, a b^{2} c d^{2} - 20 \, a^{2} b d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{40 \, {\left(a^{3} b^{4} c^{5} - 4 \, a^{4} b^{3} c^{4} d + 6 \, a^{5} b^{2} c^{3} d^{2} - 4 \, a^{6} b c^{2} d^{3} + a^{7} c d^{4} + {\left(b^{7} c^{4} d - 4 \, a b^{6} c^{3} d^{2} + 6 \, a^{2} b^{5} c^{2} d^{3} - 4 \, a^{3} b^{4} c d^{4} + a^{4} b^{3} d^{5}\right)} x^{4} + {\left(b^{7} c^{5} - a b^{6} c^{4} d - 6 \, a^{2} b^{5} c^{3} d^{2} + 14 \, a^{3} b^{4} c^{2} d^{3} - 11 \, a^{4} b^{3} c d^{4} + 3 \, a^{5} b^{2} d^{5}\right)} x^{3} + 3 \, {\left(a b^{6} c^{5} - 3 \, a^{2} b^{5} c^{4} d + 2 \, a^{3} b^{4} c^{3} d^{2} + 2 \, a^{4} b^{3} c^{2} d^{3} - 3 \, a^{5} b^{2} c d^{4} + a^{6} b d^{5}\right)} x^{2} + {\left(3 \, a^{2} b^{5} c^{5} - 11 \, a^{3} b^{4} c^{4} d + 14 \, a^{4} b^{3} c^{3} d^{2} - 6 \, a^{5} b^{2} c^{2} d^{3} - a^{6} b c d^{4} + a^{7} d^{5}\right)} x\right)}}"," ",0,"-3/40*(81*b^3*d^3*x^3 + 5*b^3*c^3 - 24*a*b^2*c^2*d + 60*a^2*b*c*d^2 + 40*a^3*d^3 + 27*(b^3*c*d^2 + 8*a*b^2*d^3)*x^2 - 9*(b^3*c^2*d - 8*a*b^2*c*d^2 - 20*a^2*b*d^3)*x)*(b*x + a)^(1/3)*(d*x + c)^(2/3)/(a^3*b^4*c^5 - 4*a^4*b^3*c^4*d + 6*a^5*b^2*c^3*d^2 - 4*a^6*b*c^2*d^3 + a^7*c*d^4 + (b^7*c^4*d - 4*a*b^6*c^3*d^2 + 6*a^2*b^5*c^2*d^3 - 4*a^3*b^4*c*d^4 + a^4*b^3*d^5)*x^4 + (b^7*c^5 - a*b^6*c^4*d - 6*a^2*b^5*c^3*d^2 + 14*a^3*b^4*c^2*d^3 - 11*a^4*b^3*c*d^4 + 3*a^5*b^2*d^5)*x^3 + 3*(a*b^6*c^5 - 3*a^2*b^5*c^4*d + 2*a^3*b^4*c^3*d^2 + 2*a^4*b^3*c^2*d^3 - 3*a^5*b^2*c*d^4 + a^6*b*d^5)*x^2 + (3*a^2*b^5*c^5 - 11*a^3*b^4*c^4*d + 14*a^4*b^3*c^3*d^2 - 6*a^5*b^2*c^2*d^3 - a^6*b*c*d^4 + a^7*d^5)*x)","B",0
1622,0,0,0,1.340845," ","integrate((b*x+a)^(8/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2)*(b*x + a)^(2/3)*(d*x + c)^(2/3)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1623,0,0,0,1.324456," ","integrate((b*x+a)^(5/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b*x + a)^(5/3)*(d*x + c)^(2/3)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1624,0,0,0,1.290443," ","integrate((b*x+a)^(2/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b*x + a)^(2/3)*(d*x + c)^(2/3)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1625,0,0,0,1.386161," ","integrate(1/(b*x+a)^(1/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{b d^{2} x^{3} + a c^{2} + {\left(2 \, b c d + a d^{2}\right)} x^{2} + {\left(b c^{2} + 2 \, a c d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(2/3)*(d*x + c)^(2/3)/(b*d^2*x^3 + a*c^2 + (2*b*c*d + a*d^2)*x^2 + (b*c^2 + 2*a*c*d)*x), x)","F",0
1626,0,0,0,1.126596," ","integrate(1/(b*x+a)^(4/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{b^{2} d^{2} x^{4} + a^{2} c^{2} + 2 \, {\left(b^{2} c d + a b d^{2}\right)} x^{3} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b c^{2} + a^{2} c d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(2/3)*(d*x + c)^(2/3)/(b^2*d^2*x^4 + a^2*c^2 + 2*(b^2*c*d + a*b*d^2)*x^3 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*x^2 + 2*(a*b*c^2 + a^2*c*d)*x), x)","F",0
1627,0,0,0,1.277780," ","integrate(1/(b*x+a)^(7/3)/(d*x+c)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{b^{3} d^{2} x^{5} + a^{3} c^{2} + {\left(2 \, b^{3} c d + 3 \, a b^{2} d^{2}\right)} x^{4} + {\left(b^{3} c^{2} + 6 \, a b^{2} c d + 3 \, a^{2} b d^{2}\right)} x^{3} + {\left(3 \, a b^{2} c^{2} + 6 \, a^{2} b c d + a^{3} d^{2}\right)} x^{2} + {\left(3 \, a^{2} b c^{2} + 2 \, a^{3} c d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(2/3)*(d*x + c)^(2/3)/(b^3*d^2*x^5 + a^3*c^2 + (2*b^3*c*d + 3*a*b^2*d^2)*x^4 + (b^3*c^2 + 6*a*b^2*c*d + 3*a^2*b*d^2)*x^3 + (3*a*b^2*c^2 + 6*a^2*b*c*d + a^3*d^2)*x^2 + (3*a^2*b*c^2 + 2*a^3*c*d)*x), x)","F",0
1628,1,107,0,1.352069," ","integrate((-1+x)^(1/3)/(1+x)^(1/3),x, algorithm=""fricas"")","-\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(x + 1\right)} + 2 \, \sqrt{3} {\left(x + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)}^{\frac{1}{3}}}{3 \, {\left(x + 1\right)}}\right) + {\left(x + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \log\left(\frac{{\left(x + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)}^{\frac{1}{3}} + {\left(x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)}^{\frac{2}{3}} + x + 1}{x + 1}\right) + \frac{2}{3} \, \log\left(\frac{{\left(x + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)}^{\frac{1}{3}} - x - 1}{x + 1}\right)"," ",0,"-2/3*sqrt(3)*arctan(1/3*(sqrt(3)*(x + 1) + 2*sqrt(3)*(x + 1)^(2/3)*(x - 1)^(1/3))/(x + 1)) + (x + 1)^(2/3)*(x - 1)^(1/3) - 1/3*log(((x + 1)^(2/3)*(x - 1)^(1/3) + (x + 1)^(1/3)*(x - 1)^(2/3) + x + 1)/(x + 1)) + 2/3*log(((x + 1)^(2/3)*(x - 1)^(1/3) - x - 1)/(x + 1))","A",0
1629,0,0,0,1.384932," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{4}}, x\right)"," ",0,"integral((b*x + a)^(3/2)*(d*x + c)^(1/4), x)","F",0
1630,0,0,0,0.839366," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/4), x)","F",0
1631,0,0,0,0.831740," ","integrate((d*x+c)^(1/4)/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{\frac{1}{4}}}{\sqrt{b x + a}}, x\right)"," ",0,"integral((d*x + c)^(1/4)/sqrt(b*x + a), x)","F",0
1632,0,0,0,1.290979," ","integrate((d*x+c)^(1/4)/(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/4)/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1633,0,0,0,1.275990," ","integrate((d*x+c)^(1/4)/(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/4)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
1634,0,0,0,0.874748," ","integrate((d*x+c)^(1/4)/(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}{b^{4} x^{4} + 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a^{3} b x + a^{4}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/4)/(b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x + a^4), x)","F",0
1635,0,0,0,1.311060," ","integrate((b*x+a)^(3/2)*(d*x+c)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{3}{4}}, x\right)"," ",0,"integral((b*x + a)^(3/2)*(d*x + c)^(3/4), x)","F",0
1636,0,0,0,0.742615," ","integrate((b*x+a)^(1/2)*(d*x+c)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4), x)","F",0
1637,0,0,0,0.925711," ","integrate((d*x+c)^(3/4)/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{\frac{3}{4}}}{\sqrt{b x + a}}, x\right)"," ",0,"integral((d*x + c)^(3/4)/sqrt(b*x + a), x)","F",0
1638,0,0,0,2.087520," ","integrate((d*x+c)^(3/4)/(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1639,0,0,0,1.023741," ","integrate((d*x+c)^(3/4)/(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
1640,0,0,0,1.392069," ","integrate((d*x+c)^(3/4)/(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{4} x^{4} + 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a^{3} b x + a^{4}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x + a^4), x)","F",0
1641,0,0,0,1.320877," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)} \sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}, x\right)"," ",0,"integral((b*d*x^2 + a*c + (b*c + a*d)*x)*sqrt(b*x + a)*(d*x + c)^(1/4), x)","F",0
1642,0,0,0,1.563534," ","integrate((b*x+a)^(1/2)*(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{4}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/4), x)","F",0
1643,0,0,0,1.500543," ","integrate((d*x+c)^(5/4)/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{\frac{5}{4}}}{\sqrt{b x + a}}, x\right)"," ",0,"integral((d*x + c)^(5/4)/sqrt(b*x + a), x)","F",0
1644,0,0,0,1.224065," ","integrate((d*x+c)^(5/4)/(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{4}}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/4)/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1645,0,0,0,1.022521," ","integrate((d*x+c)^(5/4)/(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{4}}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/4)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
1646,0,0,0,1.577319," ","integrate((d*x+c)^(5/4)/(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{4}}}{b^{4} x^{4} + 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a^{3} b x + a^{4}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/4)/(b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x + a^4), x)","F",0
1647,0,0,0,1.664210," ","integrate((d*x+c)^(5/4)/(b*x+a)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{4}}}{b^{5} x^{5} + 5 \, a b^{4} x^{4} + 10 \, a^{2} b^{3} x^{3} + 10 \, a^{3} b^{2} x^{2} + 5 \, a^{4} b x + a^{5}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/4)/(b^5*x^5 + 5*a*b^4*x^4 + 10*a^2*b^3*x^3 + 10*a^3*b^2*x^2 + 5*a^4*b*x + a^5), x)","F",0
1648,0,0,0,1.084318," ","integrate((b*x+a)^(5/2)/(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2)*sqrt(b*x + a)/(d*x + c)^(1/4), x)","F",0
1649,0,0,0,0.784507," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral((b*x + a)^(3/2)/(d*x + c)^(1/4), x)","F",0
1650,0,0,0,0.851189," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral(sqrt(b*x + a)/(d*x + c)^(1/4), x)","F",0
1651,0,0,0,1.145579," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1652,0,0,0,0.676711," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{2} d x^{3} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2} + {\left(2 \, a b c + a^{2} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(b^2*d*x^3 + a^2*c + (b^2*c + 2*a*b*d)*x^2 + (2*a*b*c + a^2*d)*x), x)","F",0
1653,0,0,0,1.407133," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{3} d x^{4} + a^{3} c + {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{3} + 3 \, {\left(a b^{2} c + a^{2} b d\right)} x^{2} + {\left(3 \, a^{2} b c + a^{3} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(b^3*d*x^4 + a^3*c + (b^3*c + 3*a*b^2*d)*x^3 + 3*(a*b^2*c + a^2*b*d)*x^2 + (3*a^2*b*c + a^3*d)*x), x)","F",0
1654,0,0,0,0.983516," ","integrate((b*x+a)^(3/2)/(d*x+c)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral((b*x + a)^(3/2)/(d*x + c)^(3/4), x)","F",0
1655,0,0,0,1.029232," ","integrate((b*x+a)^(1/2)/(d*x+c)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral(sqrt(b*x + a)/(d*x + c)^(3/4), x)","F",0
1656,0,0,0,0.927641," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/4)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1657,0,0,0,1.072633," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}{b^{2} d x^{3} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2} + {\left(2 \, a b c + a^{2} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/4)/(b^2*d*x^3 + a^2*c + (b^2*c + 2*a*b*d)*x^2 + (2*a*b*c + a^2*d)*x), x)","F",0
1658,0,0,0,1.202129," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}{b^{3} d x^{4} + a^{3} c + {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{3} + 3 \, {\left(a b^{2} c + a^{2} b d\right)} x^{2} + {\left(3 \, a^{2} b c + a^{3} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/4)/(b^3*d*x^4 + a^3*c + (b^3*c + 3*a*b^2*d)*x^3 + 3*(a*b^2*c + a^2*b*d)*x^2 + (3*a^2*b*c + a^3*d)*x), x)","F",0
1659,0,0,0,0.733967," ","integrate((b*x+a)^(5/2)/(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2)*sqrt(b*x + a)*(d*x + c)^(3/4)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1660,0,0,0,1.051409," ","integrate((b*x+a)^(3/2)/(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{3}{4}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b*x + a)^(3/2)*(d*x + c)^(3/4)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1661,0,0,0,0.859892," ","integrate((b*x+a)^(1/2)/(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1662,0,0,0,1.051367," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{b d^{2} x^{3} + a c^{2} + {\left(2 \, b c d + a d^{2}\right)} x^{2} + {\left(b c^{2} + 2 \, a c d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(b*d^2*x^3 + a*c^2 + (2*b*c*d + a*d^2)*x^2 + (b*c^2 + 2*a*c*d)*x), x)","F",0
1663,0,0,0,1.221335," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{2} d^{2} x^{4} + a^{2} c^{2} + 2 \, {\left(b^{2} c d + a b d^{2}\right)} x^{3} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b c^{2} + a^{2} c d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(b^2*d^2*x^4 + a^2*c^2 + 2*(b^2*c*d + a*b*d^2)*x^3 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*x^2 + 2*(a*b*c^2 + a^2*c*d)*x), x)","F",0
1664,0,0,0,0.781540," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{3} d^{2} x^{5} + a^{3} c^{2} + {\left(2 \, b^{3} c d + 3 \, a b^{2} d^{2}\right)} x^{4} + {\left(b^{3} c^{2} + 6 \, a b^{2} c d + 3 \, a^{2} b d^{2}\right)} x^{3} + {\left(3 \, a b^{2} c^{2} + 6 \, a^{2} b c d + a^{3} d^{2}\right)} x^{2} + {\left(3 \, a^{2} b c^{2} + 2 \, a^{3} c d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(b^3*d^2*x^5 + a^3*c^2 + (2*b^3*c*d + 3*a*b^2*d^2)*x^4 + (b^3*c^2 + 6*a*b^2*c*d + 3*a^2*b*d^2)*x^3 + (3*a*b^2*c^2 + 6*a^2*b*c*d + a^3*d^2)*x^2 + (3*a^2*b*c^2 + 2*a^3*c*d)*x), x)","F",0
1665,0,0,0,0.937894," ","integrate((b*x+a)^(7/2)/(d*x+c)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)} \sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)*sqrt(b*x + a)*(d*x + c)^(1/4)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1666,0,0,0,0.856581," ","integrate((b*x+a)^(3/2)/(d*x+c)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{4}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b*x + a)^(3/2)*(d*x + c)^(1/4)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1667,0,0,0,0.714434," ","integrate((b*x+a)^(1/2)/(d*x+c)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/4)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1668,0,0,0,1.114278," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}{b d^{2} x^{3} + a c^{2} + {\left(2 \, b c d + a d^{2}\right)} x^{2} + {\left(b c^{2} + 2 \, a c d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/4)/(b*d^2*x^3 + a*c^2 + (2*b*c*d + a*d^2)*x^2 + (b*c^2 + 2*a*c*d)*x), x)","F",0
1669,0,0,0,1.185474," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}{b^{2} d^{2} x^{4} + a^{2} c^{2} + 2 \, {\left(b^{2} c d + a b d^{2}\right)} x^{3} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b c^{2} + a^{2} c d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/4)/(b^2*d^2*x^4 + a^2*c^2 + 2*(b^2*c*d + a*b*d^2)*x^3 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*x^2 + 2*(a*b*c^2 + a^2*c*d)*x), x)","F",0
1670,0,0,0,1.171177," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}{b^{3} d^{2} x^{5} + a^{3} c^{2} + {\left(2 \, b^{3} c d + 3 \, a b^{2} d^{2}\right)} x^{4} + {\left(b^{3} c^{2} + 6 \, a b^{2} c d + 3 \, a^{2} b d^{2}\right)} x^{3} + {\left(3 \, a b^{2} c^{2} + 6 \, a^{2} b c d + a^{3} d^{2}\right)} x^{2} + {\left(3 \, a^{2} b c^{2} + 2 \, a^{3} c d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/4)/(b^3*d^2*x^5 + a^3*c^2 + (2*b^3*c*d + 3*a*b^2*d^2)*x^4 + (b^3*c^2 + 6*a*b^2*c*d + 3*a^2*b*d^2)*x^3 + (3*a*b^2*c^2 + 6*a^2*b*c*d + a^3*d^2)*x^2 + (3*a^2*b*c^2 + 2*a^3*c*d)*x), x)","F",0
1671,0,0,0,0.946672," ","integrate((b*x+a)^(7/2)/(d*x+c)^(9/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)} \sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}, x\right)"," ",0,"integral((b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)*sqrt(b*x + a)*(d*x + c)^(3/4)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
1672,0,0,0,1.128914," ","integrate((b*x+a)^(5/2)/(d*x+c)^(9/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2)*sqrt(b*x + a)*(d*x + c)^(3/4)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
1673,0,0,0,1.113099," ","integrate((b*x+a)^(3/2)/(d*x+c)^(9/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{3}{4}}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}, x\right)"," ",0,"integral((b*x + a)^(3/2)*(d*x + c)^(3/4)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
1674,0,0,0,1.183028," ","integrate((b*x+a)^(1/2)/(d*x+c)^(9/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
1675,0,0,0,0.861601," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(9/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{b d^{3} x^{4} + a c^{3} + {\left(3 \, b c d^{2} + a d^{3}\right)} x^{3} + 3 \, {\left(b c^{2} d + a c d^{2}\right)} x^{2} + {\left(b c^{3} + 3 \, a c^{2} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(b*d^3*x^4 + a*c^3 + (3*b*c*d^2 + a*d^3)*x^3 + 3*(b*c^2*d + a*c*d^2)*x^2 + (b*c^3 + 3*a*c^2*d)*x), x)","F",0
1676,0,0,0,1.127457," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(9/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{2} d^{3} x^{5} + a^{2} c^{3} + {\left(3 \, b^{2} c d^{2} + 2 \, a b d^{3}\right)} x^{4} + {\left(3 \, b^{2} c^{2} d + 6 \, a b c d^{2} + a^{2} d^{3}\right)} x^{3} + {\left(b^{2} c^{3} + 6 \, a b c^{2} d + 3 \, a^{2} c d^{2}\right)} x^{2} + {\left(2 \, a b c^{3} + 3 \, a^{2} c^{2} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(b^2*d^3*x^5 + a^2*c^3 + (3*b^2*c*d^2 + 2*a*b*d^3)*x^4 + (3*b^2*c^2*d + 6*a*b*c*d^2 + a^2*d^3)*x^3 + (b^2*c^3 + 6*a*b*c^2*d + 3*a^2*c*d^2)*x^2 + (2*a*b*c^3 + 3*a^2*c^2*d)*x), x)","F",0
1677,0,0,0,1.200418," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(9/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{3} d^{3} x^{6} + a^{3} c^{3} + 3 \, {\left(b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{5} + 3 \, {\left(b^{3} c^{2} d + 3 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x^{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^{3} + 3 \, {\left(a b^{2} c^{3} + 3 \, a^{2} b c^{2} d + a^{3} c d^{2}\right)} x^{2} + 3 \, {\left(a^{2} b c^{3} + a^{3} c^{2} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(3/4)/(b^3*d^3*x^6 + a^3*c^3 + 3*(b^3*c*d^2 + a*b^2*d^3)*x^5 + 3*(b^3*c^2*d + 3*a*b^2*c*d^2 + a^2*b*d^3)*x^4 + (b^3*c^3 + 9*a*b^2*c^2*d + 9*a^2*b*c*d^2 + a^3*d^3)*x^3 + 3*(a*b^2*c^3 + 3*a^2*b*c^2*d + a^3*c*d^2)*x^2 + 3*(a^2*b*c^3 + a^3*c^2*d)*x), x)","F",0
1678,1,2151,0,1.557081," ","integrate((b*x+a)^(3/4)*(d*x+c)^(5/4),x, algorithm=""fricas"")","-\frac{60 \, b^{2} d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{9} d^{7}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(b^{10} c^{3} d^{5} - 3 \, a b^{9} c^{2} d^{6} + 3 \, a^{2} b^{8} c d^{7} - a^{3} b^{7} d^{8}\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{9} d^{7}}\right)^{\frac{3}{4}} + {\left(b^{8} d^{5} x + a b^{7} d^{5}\right)} \sqrt{\frac{{\left(b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}\right)} \sqrt{b x + a} \sqrt{d x + c} + {\left(b^{5} d^{4} x + a b^{4} d^{4}\right)} \sqrt{\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{9} d^{7}}}}{b x + a}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{9} d^{7}}\right)^{\frac{3}{4}}}{a b^{12} c^{12} - 12 \, a^{2} b^{11} c^{11} d + 66 \, a^{3} b^{10} c^{10} d^{2} - 220 \, a^{4} b^{9} c^{9} d^{3} + 495 \, a^{5} b^{8} c^{8} d^{4} - 792 \, a^{6} b^{7} c^{7} d^{5} + 924 \, a^{7} b^{6} c^{6} d^{6} - 792 \, a^{8} b^{5} c^{5} d^{7} + 495 \, a^{9} b^{4} c^{4} d^{8} - 220 \, a^{10} b^{3} c^{3} d^{9} + 66 \, a^{11} b^{2} c^{2} d^{10} - 12 \, a^{12} b c d^{11} + a^{13} d^{12} + {\left(b^{13} c^{12} - 12 \, a b^{12} c^{11} d + 66 \, a^{2} b^{11} c^{10} d^{2} - 220 \, a^{3} b^{10} c^{9} d^{3} + 495 \, a^{4} b^{9} c^{8} d^{4} - 792 \, a^{5} b^{8} c^{7} d^{5} + 924 \, a^{6} b^{7} c^{6} d^{6} - 792 \, a^{7} b^{6} c^{5} d^{7} + 495 \, a^{8} b^{5} c^{4} d^{8} - 220 \, a^{9} b^{4} c^{3} d^{9} + 66 \, a^{10} b^{3} c^{2} d^{10} - 12 \, a^{11} b^{2} c d^{11} + a^{12} b d^{12}\right)} x}\right) + 15 \, b^{2} d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{9} d^{7}}\right)^{\frac{1}{4}} \log\left(-\frac{5 \, {\left({\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(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} + {\left(b^{3} d^{2} x + a b^{2} d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{9} d^{7}}\right)^{\frac{1}{4}}\right)}}{b x + a}\right) - 15 \, b^{2} d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{9} d^{7}}\right)^{\frac{1}{4}} \log\left(-\frac{5 \, {\left({\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(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} - {\left(b^{3} d^{2} x + a b^{2} d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{9} d^{7}}\right)^{\frac{1}{4}}\right)}}{b x + a}\right) - 4 \, {\left(32 \, b^{2} d^{2} x^{2} + 5 \, b^{2} c^{2} + 42 \, a b c d - 15 \, a^{2} d^{2} + 4 \, {\left(13 \, b^{2} c d + 3 \, a b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{384 \, b^{2} d}"," ",0,"-1/384*(60*b^2*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^9*d^7))^(1/4)*arctan(((b^10*c^3*d^5 - 3*a*b^9*c^2*d^6 + 3*a^2*b^8*c*d^7 - a^3*b^7*d^8)*(b*x + a)^(3/4)*(d*x + c)^(1/4)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^9*d^7))^(3/4) + (b^8*d^5*x + a*b^7*d^5)*sqrt(((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)*sqrt(b*x + a)*sqrt(d*x + c) + (b^5*d^4*x + a*b^4*d^4)*sqrt((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^9*d^7)))/(b*x + a))*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^9*d^7))^(3/4))/(a*b^12*c^12 - 12*a^2*b^11*c^11*d + 66*a^3*b^10*c^10*d^2 - 220*a^4*b^9*c^9*d^3 + 495*a^5*b^8*c^8*d^4 - 792*a^6*b^7*c^7*d^5 + 924*a^7*b^6*c^6*d^6 - 792*a^8*b^5*c^5*d^7 + 495*a^9*b^4*c^4*d^8 - 220*a^10*b^3*c^3*d^9 + 66*a^11*b^2*c^2*d^10 - 12*a^12*b*c*d^11 + a^13*d^12 + (b^13*c^12 - 12*a*b^12*c^11*d + 66*a^2*b^11*c^10*d^2 - 220*a^3*b^10*c^9*d^3 + 495*a^4*b^9*c^8*d^4 - 792*a^5*b^8*c^7*d^5 + 924*a^6*b^7*c^6*d^6 - 792*a^7*b^6*c^5*d^7 + 495*a^8*b^5*c^4*d^8 - 220*a^9*b^4*c^3*d^9 + 66*a^10*b^3*c^2*d^10 - 12*a^11*b^2*c*d^11 + a^12*b*d^12)*x)) + 15*b^2*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^9*d^7))^(1/4)*log(-5*((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*(b*x + a)^(3/4)*(d*x + c)^(1/4) + (b^3*d^2*x + a*b^2*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^9*d^7))^(1/4))/(b*x + a)) - 15*b^2*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^9*d^7))^(1/4)*log(-5*((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*(b*x + a)^(3/4)*(d*x + c)^(1/4) - (b^3*d^2*x + a*b^2*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^9*d^7))^(1/4))/(b*x + a)) - 4*(32*b^2*d^2*x^2 + 5*b^2*c^2 + 42*a*b*c*d - 15*a^2*d^2 + 4*(13*b^2*c*d + 3*a*b*d^2)*x)*(b*x + a)^(3/4)*(d*x + c)^(1/4))/(b^2*d)","B",0
1679,1,1468,0,1.341534," ","integrate((d*x+c)^(5/4)/(b*x+a)^(1/4),x, algorithm=""fricas"")","-\frac{20 \, b^{2} \left(\frac{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^{9} d^{3}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(b^{9} c^{2} d^{2} - 2 \, a b^{8} c d^{3} + a^{2} b^{7} d^{4}\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} \left(\frac{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^{9} d^{3}}\right)^{\frac{3}{4}} - {\left(b^{8} d^{2} x + a b^{7} d^{2}\right)} \sqrt{\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)} \sqrt{b x + a} \sqrt{d x + c} + {\left(b^{5} d^{2} x + a b^{4} d^{2}\right)} \sqrt{\frac{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^{9} d^{3}}}}{b x + a}} \left(\frac{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^{9} d^{3}}\right)^{\frac{3}{4}}}{a b^{8} c^{8} - 8 \, a^{2} b^{7} c^{7} d + 28 \, a^{3} b^{6} c^{6} d^{2} - 56 \, a^{4} b^{5} c^{5} d^{3} + 70 \, a^{5} b^{4} c^{4} d^{4} - 56 \, a^{6} b^{3} c^{3} d^{5} + 28 \, a^{7} b^{2} c^{2} d^{6} - 8 \, a^{8} b c d^{7} + a^{9} d^{8} + {\left(b^{9} c^{8} - 8 \, a b^{8} c^{7} d + 28 \, a^{2} b^{7} c^{6} d^{2} - 56 \, a^{3} b^{6} c^{5} d^{3} + 70 \, a^{4} b^{5} c^{4} d^{4} - 56 \, a^{5} b^{4} c^{3} d^{5} + 28 \, a^{6} b^{3} c^{2} d^{6} - 8 \, a^{7} b^{2} c d^{7} + a^{8} b d^{8}\right)} x}\right) - 5 \, b^{2} \left(\frac{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^{9} d^{3}}\right)^{\frac{1}{4}} \log\left(\frac{5 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} + {\left(b^{3} d x + a b^{2} d\right)} \left(\frac{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^{9} d^{3}}\right)^{\frac{1}{4}}\right)}}{b x + a}\right) + 5 \, b^{2} \left(\frac{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^{9} d^{3}}\right)^{\frac{1}{4}} \log\left(\frac{5 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} - {\left(b^{3} d x + a b^{2} d\right)} \left(\frac{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^{9} d^{3}}\right)^{\frac{1}{4}}\right)}}{b x + a}\right) - 4 \, {\left(4 \, b d x + 9 \, b c - 5 \, a d\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{32 \, b^{2}}"," ",0,"-1/32*(20*b^2*((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^9*d^3))^(1/4)*arctan(-((b^9*c^2*d^2 - 2*a*b^8*c*d^3 + a^2*b^7*d^4)*(b*x + a)^(3/4)*(d*x + c)^(1/4)*((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^9*d^3))^(3/4) - (b^8*d^2*x + a*b^7*d^2)*sqrt(((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(b*x + a)*sqrt(d*x + c) + (b^5*d^2*x + a*b^4*d^2)*sqrt((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^9*d^3)))/(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^9*d^3))^(3/4))/(a*b^8*c^8 - 8*a^2*b^7*c^7*d + 28*a^3*b^6*c^6*d^2 - 56*a^4*b^5*c^5*d^3 + 70*a^5*b^4*c^4*d^4 - 56*a^6*b^3*c^3*d^5 + 28*a^7*b^2*c^2*d^6 - 8*a^8*b*c*d^7 + a^9*d^8 + (b^9*c^8 - 8*a*b^8*c^7*d + 28*a^2*b^7*c^6*d^2 - 56*a^3*b^6*c^5*d^3 + 70*a^4*b^5*c^4*d^4 - 56*a^5*b^4*c^3*d^5 + 28*a^6*b^3*c^2*d^6 - 8*a^7*b^2*c*d^7 + a^8*b*d^8)*x)) - 5*b^2*((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^9*d^3))^(1/4)*log(5*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(3/4)*(d*x + c)^(1/4) + (b^3*d*x + a*b^2*d)*((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^9*d^3))^(1/4))/(b*x + a)) + 5*b^2*((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^9*d^3))^(1/4)*log(5*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(3/4)*(d*x + c)^(1/4) - (b^3*d*x + a*b^2*d)*((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^9*d^3))^(1/4))/(b*x + a)) - 4*(4*b*d*x + 9*b*c - 5*a*d)*(b*x + a)^(3/4)*(d*x + c)^(1/4))/b^2","B",0
1680,1,857,0,1.040410," ","integrate((d*x+c)^(5/4)/(b*x+a)^(5/4),x, algorithm=""fricas"")","\frac{20 \, {\left(b^{3} x + a b^{2}\right)} \left(\frac{b^{4} c^{4} d - 4 \, a b^{3} c^{3} d^{2} + 6 \, a^{2} b^{2} c^{2} d^{3} - 4 \, a^{3} b c d^{4} + a^{4} d^{5}}{b^{9}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(b^{8} c - a b^{7} d\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} \left(\frac{b^{4} c^{4} d - 4 \, a b^{3} c^{3} d^{2} + 6 \, a^{2} b^{2} c^{2} d^{3} - 4 \, a^{3} b c d^{4} + a^{4} d^{5}}{b^{9}}\right)^{\frac{3}{4}} + {\left(b^{8} x + a b^{7}\right)} \sqrt{\frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c} + {\left(b^{5} x + a b^{4}\right)} \sqrt{\frac{b^{4} c^{4} d - 4 \, a b^{3} c^{3} d^{2} + 6 \, a^{2} b^{2} c^{2} d^{3} - 4 \, a^{3} b c d^{4} + a^{4} d^{5}}{b^{9}}}}{b x + a}} \left(\frac{b^{4} c^{4} d - 4 \, a b^{3} c^{3} d^{2} + 6 \, a^{2} b^{2} c^{2} d^{3} - 4 \, a^{3} b c d^{4} + a^{4} d^{5}}{b^{9}}\right)^{\frac{3}{4}}}{a b^{4} c^{4} d - 4 \, a^{2} b^{3} c^{3} d^{2} + 6 \, a^{3} b^{2} c^{2} d^{3} - 4 \, a^{4} b c d^{4} + a^{5} d^{5} + {\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}\right) + 5 \, {\left(b^{3} x + a b^{2}\right)} \left(\frac{b^{4} c^{4} d - 4 \, a b^{3} c^{3} d^{2} + 6 \, a^{2} b^{2} c^{2} d^{3} - 4 \, a^{3} b c d^{4} + a^{4} d^{5}}{b^{9}}\right)^{\frac{1}{4}} \log\left(-\frac{5 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} + {\left(b^{3} x + a b^{2}\right)} \left(\frac{b^{4} c^{4} d - 4 \, a b^{3} c^{3} d^{2} + 6 \, a^{2} b^{2} c^{2} d^{3} - 4 \, a^{3} b c d^{4} + a^{4} d^{5}}{b^{9}}\right)^{\frac{1}{4}}\right)}}{b x + a}\right) - 5 \, {\left(b^{3} x + a b^{2}\right)} \left(\frac{b^{4} c^{4} d - 4 \, a b^{3} c^{3} d^{2} + 6 \, a^{2} b^{2} c^{2} d^{3} - 4 \, a^{3} b c d^{4} + a^{4} d^{5}}{b^{9}}\right)^{\frac{1}{4}} \log\left(-\frac{5 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} - {\left(b^{3} x + a b^{2}\right)} \left(\frac{b^{4} c^{4} d - 4 \, a b^{3} c^{3} d^{2} + 6 \, a^{2} b^{2} c^{2} d^{3} - 4 \, a^{3} b c d^{4} + a^{4} d^{5}}{b^{9}}\right)^{\frac{1}{4}}\right)}}{b x + a}\right) + 4 \, {\left(b d x - 4 \, b c + 5 \, a d\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{4 \, {\left(b^{3} x + a b^{2}\right)}}"," ",0,"1/4*(20*(b^3*x + a*b^2)*((b^4*c^4*d - 4*a*b^3*c^3*d^2 + 6*a^2*b^2*c^2*d^3 - 4*a^3*b*c*d^4 + a^4*d^5)/b^9)^(1/4)*arctan(((b^8*c - a*b^7*d)*(b*x + a)^(3/4)*(d*x + c)^(1/4)*((b^4*c^4*d - 4*a*b^3*c^3*d^2 + 6*a^2*b^2*c^2*d^3 - 4*a^3*b*c*d^4 + a^4*d^5)/b^9)^(3/4) + (b^8*x + a*b^7)*sqrt(((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(b*x + a)*sqrt(d*x + c) + (b^5*x + a*b^4)*sqrt((b^4*c^4*d - 4*a*b^3*c^3*d^2 + 6*a^2*b^2*c^2*d^3 - 4*a^3*b*c*d^4 + a^4*d^5)/b^9))/(b*x + a))*((b^4*c^4*d - 4*a*b^3*c^3*d^2 + 6*a^2*b^2*c^2*d^3 - 4*a^3*b*c*d^4 + a^4*d^5)/b^9)^(3/4))/(a*b^4*c^4*d - 4*a^2*b^3*c^3*d^2 + 6*a^3*b^2*c^2*d^3 - 4*a^4*b*c*d^4 + a^5*d^5 + (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)) + 5*(b^3*x + a*b^2)*((b^4*c^4*d - 4*a*b^3*c^3*d^2 + 6*a^2*b^2*c^2*d^3 - 4*a^3*b*c*d^4 + a^4*d^5)/b^9)^(1/4)*log(-5*((b*c - a*d)*(b*x + a)^(3/4)*(d*x + c)^(1/4) + (b^3*x + a*b^2)*((b^4*c^4*d - 4*a*b^3*c^3*d^2 + 6*a^2*b^2*c^2*d^3 - 4*a^3*b*c*d^4 + a^4*d^5)/b^9)^(1/4))/(b*x + a)) - 5*(b^3*x + a*b^2)*((b^4*c^4*d - 4*a*b^3*c^3*d^2 + 6*a^2*b^2*c^2*d^3 - 4*a^3*b*c*d^4 + a^4*d^5)/b^9)^(1/4)*log(-5*((b*c - a*d)*(b*x + a)^(3/4)*(d*x + c)^(1/4) - (b^3*x + a*b^2)*((b^4*c^4*d - 4*a*b^3*c^3*d^2 + 6*a^2*b^2*c^2*d^3 - 4*a^3*b*c*d^4 + a^4*d^5)/b^9)^(1/4))/(b*x + a)) + 4*(b*d*x - 4*b*c + 5*a*d)*(b*x + a)^(3/4)*(d*x + c)^(1/4))/(b^3*x + a*b^2)","B",0
1681,1,368,0,1.169748," ","integrate((d*x+c)^(5/4)/(b*x+a)^(9/4),x, algorithm=""fricas"")","-\frac{20 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)} \left(\frac{d^{5}}{b^{9}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} b^{7} d \left(\frac{d^{5}}{b^{9}}\right)^{\frac{3}{4}} - {\left(b^{8} x + a b^{7}\right)} \sqrt{\frac{\sqrt{b x + a} \sqrt{d x + c} d^{2} + {\left(b^{5} x + a b^{4}\right)} \sqrt{\frac{d^{5}}{b^{9}}}}{b x + a}} \left(\frac{d^{5}}{b^{9}}\right)^{\frac{3}{4}}}{b d^{5} x + a d^{5}}\right) - 5 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)} \left(\frac{d^{5}}{b^{9}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} d + {\left(b^{3} x + a b^{2}\right)} \left(\frac{d^{5}}{b^{9}}\right)^{\frac{1}{4}}}{b x + a}\right) + 5 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)} \left(\frac{d^{5}}{b^{9}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} d - {\left(b^{3} x + a b^{2}\right)} \left(\frac{d^{5}}{b^{9}}\right)^{\frac{1}{4}}}{b x + a}\right) + 4 \, {\left(6 \, b d x + b c + 5 \, a d\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{5 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}}"," ",0,"-1/5*(20*(b^4*x^2 + 2*a*b^3*x + a^2*b^2)*(d^5/b^9)^(1/4)*arctan(-((b*x + a)^(3/4)*(d*x + c)^(1/4)*b^7*d*(d^5/b^9)^(3/4) - (b^8*x + a*b^7)*sqrt((sqrt(b*x + a)*sqrt(d*x + c)*d^2 + (b^5*x + a*b^4)*sqrt(d^5/b^9))/(b*x + a))*(d^5/b^9)^(3/4))/(b*d^5*x + a*d^5)) - 5*(b^4*x^2 + 2*a*b^3*x + a^2*b^2)*(d^5/b^9)^(1/4)*log(((b*x + a)^(3/4)*(d*x + c)^(1/4)*d + (b^3*x + a*b^2)*(d^5/b^9)^(1/4))/(b*x + a)) + 5*(b^4*x^2 + 2*a*b^3*x + a^2*b^2)*(d^5/b^9)^(1/4)*log(((b*x + a)^(3/4)*(d*x + c)^(1/4)*d - (b^3*x + a*b^2)*(d^5/b^9)^(1/4))/(b*x + a)) + 4*(6*b*d*x + b*c + 5*a*d)*(b*x + a)^(3/4)*(d*x + c)^(1/4))/(b^4*x^2 + 2*a*b^3*x + a^2*b^2)","B",0
1682,1,104,0,1.034194," ","integrate((d*x+c)^(5/4)/(b*x+a)^(13/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{9 \, {\left(a^{3} b c - a^{4} d + {\left(b^{4} c - a b^{3} d\right)} x^{3} + 3 \, {\left(a b^{3} c - a^{2} b^{2} d\right)} x^{2} + 3 \, {\left(a^{2} b^{2} c - a^{3} b d\right)} x\right)}}"," ",0,"-4/9*(d^2*x^2 + 2*c*d*x + c^2)*(b*x + a)^(3/4)*(d*x + c)^(1/4)/(a^3*b*c - a^4*d + (b^4*c - a*b^3*d)*x^3 + 3*(a*b^3*c - a^2*b^2*d)*x^2 + 3*(a^2*b^2*c - a^3*b*d)*x)","B",0
1683,1,235,0,1.235804," ","integrate((d*x+c)^(5/4)/(b*x+a)^(17/4),x, algorithm=""fricas"")","\frac{4 \, {\left(4 \, b d^{3} x^{3} - 9 \, b c^{3} + 13 \, a c^{2} d - {\left(b c d^{2} - 13 \, a d^{3}\right)} x^{2} - 2 \, {\left(7 \, b c^{2} d - 13 \, a c d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{117 \, {\left(a^{4} b^{2} c^{2} - 2 \, a^{5} b c d + a^{6} d^{2} + {\left(b^{6} c^{2} - 2 \, a b^{5} c d + a^{2} b^{4} d^{2}\right)} x^{4} + 4 \, {\left(a b^{5} c^{2} - 2 \, a^{2} b^{4} c d + a^{3} b^{3} d^{2}\right)} x^{3} + 6 \, {\left(a^{2} b^{4} c^{2} - 2 \, a^{3} b^{3} c d + a^{4} b^{2} d^{2}\right)} x^{2} + 4 \, {\left(a^{3} b^{3} c^{2} - 2 \, a^{4} b^{2} c d + a^{5} b d^{2}\right)} x\right)}}"," ",0,"4/117*(4*b*d^3*x^3 - 9*b*c^3 + 13*a*c^2*d - (b*c*d^2 - 13*a*d^3)*x^2 - 2*(7*b*c^2*d - 13*a*c*d^2)*x)*(b*x + a)^(3/4)*(d*x + c)^(1/4)/(a^4*b^2*c^2 - 2*a^5*b*c*d + a^6*d^2 + (b^6*c^2 - 2*a*b^5*c*d + a^2*b^4*d^2)*x^4 + 4*(a*b^5*c^2 - 2*a^2*b^4*c*d + a^3*b^3*d^2)*x^3 + 6*(a^2*b^4*c^2 - 2*a^3*b^3*c*d + a^4*b^2*d^2)*x^2 + 4*(a^3*b^3*c^2 - 2*a^4*b^2*c*d + a^5*b*d^2)*x)","B",0
1684,1,426,0,1.522942," ","integrate((d*x+c)^(5/4)/(b*x+a)^(21/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(32 \, b^{2} d^{4} x^{4} + 117 \, b^{2} c^{4} - 306 \, a b c^{3} d + 221 \, a^{2} c^{2} d^{2} - 8 \, {\left(b^{2} c d^{3} - 17 \, a b d^{4}\right)} x^{3} + {\left(5 \, b^{2} c^{2} d^{2} - 34 \, a b c d^{3} + 221 \, a^{2} d^{4}\right)} x^{2} + 2 \, {\left(81 \, b^{2} c^{3} d - 238 \, a b c^{2} d^{2} + 221 \, a^{2} c d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{1989 \, {\left(a^{5} b^{3} c^{3} - 3 \, a^{6} b^{2} c^{2} d + 3 \, a^{7} b c d^{2} - a^{8} d^{3} + {\left(b^{8} c^{3} - 3 \, a b^{7} c^{2} d + 3 \, a^{2} b^{6} c d^{2} - a^{3} b^{5} d^{3}\right)} x^{5} + 5 \, {\left(a b^{7} c^{3} - 3 \, a^{2} b^{6} c^{2} d + 3 \, a^{3} b^{5} c d^{2} - a^{4} b^{4} d^{3}\right)} x^{4} + 10 \, {\left(a^{2} b^{6} c^{3} - 3 \, a^{3} b^{5} c^{2} d + 3 \, a^{4} b^{4} c d^{2} - a^{5} b^{3} d^{3}\right)} x^{3} + 10 \, {\left(a^{3} b^{5} c^{3} - 3 \, a^{4} b^{4} c^{2} d + 3 \, a^{5} b^{3} c d^{2} - a^{6} b^{2} d^{3}\right)} x^{2} + 5 \, {\left(a^{4} b^{4} c^{3} - 3 \, a^{5} b^{3} c^{2} d + 3 \, a^{6} b^{2} c d^{2} - a^{7} b d^{3}\right)} x\right)}}"," ",0,"-4/1989*(32*b^2*d^4*x^4 + 117*b^2*c^4 - 306*a*b*c^3*d + 221*a^2*c^2*d^2 - 8*(b^2*c*d^3 - 17*a*b*d^4)*x^3 + (5*b^2*c^2*d^2 - 34*a*b*c*d^3 + 221*a^2*d^4)*x^2 + 2*(81*b^2*c^3*d - 238*a*b*c^2*d^2 + 221*a^2*c*d^3)*x)*(b*x + a)^(3/4)*(d*x + c)^(1/4)/(a^5*b^3*c^3 - 3*a^6*b^2*c^2*d + 3*a^7*b*c*d^2 - a^8*d^3 + (b^8*c^3 - 3*a*b^7*c^2*d + 3*a^2*b^6*c*d^2 - a^3*b^5*d^3)*x^5 + 5*(a*b^7*c^3 - 3*a^2*b^6*c^2*d + 3*a^3*b^5*c*d^2 - a^4*b^4*d^3)*x^4 + 10*(a^2*b^6*c^3 - 3*a^3*b^5*c^2*d + 3*a^4*b^4*c*d^2 - a^5*b^3*d^3)*x^3 + 10*(a^3*b^5*c^3 - 3*a^4*b^4*c^2*d + 3*a^5*b^3*c*d^2 - a^6*b^2*d^3)*x^2 + 5*(a^4*b^4*c^3 - 3*a^5*b^3*c^2*d + 3*a^6*b^2*c*d^2 - a^7*b*d^3)*x)","B",0
1685,1,649,0,1.655802," ","integrate((d*x+c)^(5/4)/(b*x+a)^(25/4),x, algorithm=""fricas"")","\frac{4 \, {\left(128 \, b^{3} d^{5} x^{5} - 663 \, b^{3} c^{5} + 2457 \, a b^{2} c^{4} d - 3213 \, a^{2} b c^{3} d^{2} + 1547 \, a^{3} c^{2} d^{3} - 32 \, {\left(b^{3} c d^{4} - 21 \, a b^{2} d^{5}\right)} x^{4} + 4 \, {\left(5 \, b^{3} c^{2} d^{3} - 42 \, a b^{2} c d^{4} + 357 \, a^{2} b d^{5}\right)} x^{3} - {\left(15 \, b^{3} c^{3} d^{2} - 105 \, a b^{2} c^{2} d^{3} + 357 \, a^{2} b c d^{4} - 1547 \, a^{3} d^{5}\right)} x^{2} - 2 \, {\left(429 \, b^{3} c^{4} d - 1701 \, a b^{2} c^{3} d^{2} + 2499 \, a^{2} b c^{2} d^{3} - 1547 \, a^{3} c d^{4}\right)} x\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{13923 \, {\left(a^{6} b^{4} c^{4} - 4 \, a^{7} b^{3} c^{3} d + 6 \, a^{8} b^{2} c^{2} d^{2} - 4 \, a^{9} b c d^{3} + a^{10} d^{4} + {\left(b^{10} c^{4} - 4 \, a b^{9} c^{3} d + 6 \, a^{2} b^{8} c^{2} d^{2} - 4 \, a^{3} b^{7} c d^{3} + a^{4} b^{6} d^{4}\right)} x^{6} + 6 \, {\left(a b^{9} c^{4} - 4 \, a^{2} b^{8} c^{3} d + 6 \, a^{3} b^{7} c^{2} d^{2} - 4 \, a^{4} b^{6} c d^{3} + a^{5} b^{5} d^{4}\right)} x^{5} + 15 \, {\left(a^{2} b^{8} c^{4} - 4 \, a^{3} b^{7} c^{3} d + 6 \, a^{4} b^{6} c^{2} d^{2} - 4 \, a^{5} b^{5} c d^{3} + a^{6} b^{4} d^{4}\right)} x^{4} + 20 \, {\left(a^{3} b^{7} c^{4} - 4 \, a^{4} b^{6} c^{3} d + 6 \, a^{5} b^{5} c^{2} d^{2} - 4 \, a^{6} b^{4} c d^{3} + a^{7} b^{3} d^{4}\right)} x^{3} + 15 \, {\left(a^{4} b^{6} c^{4} - 4 \, a^{5} b^{5} c^{3} d + 6 \, a^{6} b^{4} c^{2} d^{2} - 4 \, a^{7} b^{3} c d^{3} + a^{8} b^{2} d^{4}\right)} x^{2} + 6 \, {\left(a^{5} b^{5} c^{4} - 4 \, a^{6} b^{4} c^{3} d + 6 \, a^{7} b^{3} c^{2} d^{2} - 4 \, a^{8} b^{2} c d^{3} + a^{9} b d^{4}\right)} x\right)}}"," ",0,"4/13923*(128*b^3*d^5*x^5 - 663*b^3*c^5 + 2457*a*b^2*c^4*d - 3213*a^2*b*c^3*d^2 + 1547*a^3*c^2*d^3 - 32*(b^3*c*d^4 - 21*a*b^2*d^5)*x^4 + 4*(5*b^3*c^2*d^3 - 42*a*b^2*c*d^4 + 357*a^2*b*d^5)*x^3 - (15*b^3*c^3*d^2 - 105*a*b^2*c^2*d^3 + 357*a^2*b*c*d^4 - 1547*a^3*d^5)*x^2 - 2*(429*b^3*c^4*d - 1701*a*b^2*c^3*d^2 + 2499*a^2*b*c^2*d^3 - 1547*a^3*c*d^4)*x)*(b*x + a)^(3/4)*(d*x + c)^(1/4)/(a^6*b^4*c^4 - 4*a^7*b^3*c^3*d + 6*a^8*b^2*c^2*d^2 - 4*a^9*b*c*d^3 + a^10*d^4 + (b^10*c^4 - 4*a*b^9*c^3*d + 6*a^2*b^8*c^2*d^2 - 4*a^3*b^7*c*d^3 + a^4*b^6*d^4)*x^6 + 6*(a*b^9*c^4 - 4*a^2*b^8*c^3*d + 6*a^3*b^7*c^2*d^2 - 4*a^4*b^6*c*d^3 + a^5*b^5*d^4)*x^5 + 15*(a^2*b^8*c^4 - 4*a^3*b^7*c^3*d + 6*a^4*b^6*c^2*d^2 - 4*a^5*b^5*c*d^3 + a^6*b^4*d^4)*x^4 + 20*(a^3*b^7*c^4 - 4*a^4*b^6*c^3*d + 6*a^5*b^5*c^2*d^2 - 4*a^6*b^4*c*d^3 + a^7*b^3*d^4)*x^3 + 15*(a^4*b^6*c^4 - 4*a^5*b^5*c^3*d + 6*a^6*b^4*c^2*d^2 - 4*a^7*b^3*c*d^3 + a^8*b^2*d^4)*x^2 + 6*(a^5*b^5*c^4 - 4*a^6*b^4*c^3*d + 6*a^7*b^3*c^2*d^2 - 4*a^8*b^2*c*d^3 + a^9*b*d^4)*x)","B",0
1686,0,0,0,1.308095," ","integrate((b*x+a)^(5/4)*(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{1}{4}}, x\right)"," ",0,"integral((b*d*x^2 + a*c + (b*c + a*d)*x)*(b*x + a)^(1/4)*(d*x + c)^(1/4), x)","F",0
1687,0,0,0,0.749324," ","integrate((b*x+a)^(1/4)*(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{5}{4}}, x\right)"," ",0,"integral((b*x + a)^(1/4)*(d*x + c)^(5/4), x)","F",0
1688,0,0,0,1.015739," ","integrate((d*x+c)^(5/4)/(b*x+a)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral((d*x + c)^(5/4)/(b*x + a)^(3/4), x)","F",0
1689,0,0,0,1.106972," ","integrate((d*x+c)^(5/4)/(b*x+a)^(7/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral((b*x + a)^(1/4)*(d*x + c)^(5/4)/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1690,0,0,0,0.743933," ","integrate((d*x+c)^(5/4)/(b*x+a)^(11/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}, x\right)"," ",0,"integral((b*x + a)^(1/4)*(d*x + c)^(5/4)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
1691,0,0,0,1.259980," ","integrate((d*x+c)^(5/4)/(b*x+a)^(15/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}{b^{4} x^{4} + 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a^{3} b x + a^{4}}, x\right)"," ",0,"integral((b*x + a)^(1/4)*(d*x + c)^(5/4)/(b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x + a^4), x)","F",0
1692,0,0,0,1.357939," ","integrate((d*x+c)^(5/4)/(b*x+a)^(19/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}{b^{5} x^{5} + 5 \, a b^{4} x^{4} + 10 \, a^{2} b^{3} x^{3} + 10 \, a^{3} b^{2} x^{2} + 5 \, a^{4} b x + a^{5}}, x\right)"," ",0,"integral((b*x + a)^(1/4)*(d*x + c)^(5/4)/(b^5*x^5 + 5*a*b^4*x^4 + 10*a^2*b^3*x^3 + 10*a^3*b^2*x^2 + 5*a^4*b*x + a^5), x)","F",0
1693,1,1468,0,1.148308," ","integrate((b*x+a)^(5/4)/(d*x+c)^(1/4),x, algorithm=""fricas"")","-\frac{20 \, d^{2} \left(\frac{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^{3} d^{9}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(b^{4} c^{2} d^{7} - 2 \, a b^{3} c d^{8} + a^{2} b^{2} d^{9}\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}} \left(\frac{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^{3} d^{9}}\right)^{\frac{3}{4}} - {\left(b^{2} d^{8} x + b^{2} c d^{7}\right)} \sqrt{\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)} \sqrt{b x + a} \sqrt{d x + c} + {\left(b^{2} d^{5} x + b^{2} c d^{4}\right)} \sqrt{\frac{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^{3} d^{9}}}}{d x + c}} \left(\frac{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^{3} d^{9}}\right)^{\frac{3}{4}}}{b^{8} c^{9} - 8 \, a b^{7} c^{8} d + 28 \, a^{2} b^{6} c^{7} d^{2} - 56 \, a^{3} b^{5} c^{6} d^{3} + 70 \, a^{4} b^{4} c^{5} d^{4} - 56 \, a^{5} b^{3} c^{4} d^{5} + 28 \, a^{6} b^{2} c^{3} d^{6} - 8 \, a^{7} b c^{2} d^{7} + a^{8} c d^{8} + {\left(b^{8} c^{8} d - 8 \, a b^{7} c^{7} d^{2} + 28 \, a^{2} b^{6} c^{6} d^{3} - 56 \, a^{3} b^{5} c^{5} d^{4} + 70 \, a^{4} b^{4} c^{4} d^{5} - 56 \, a^{5} b^{3} c^{3} d^{6} + 28 \, a^{6} b^{2} c^{2} d^{7} - 8 \, a^{7} b c d^{8} + a^{8} d^{9}\right)} x}\right) - 5 \, d^{2} \left(\frac{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^{3} d^{9}}\right)^{\frac{1}{4}} \log\left(\frac{5 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}} + {\left(b d^{3} x + b c d^{2}\right)} \left(\frac{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^{3} d^{9}}\right)^{\frac{1}{4}}\right)}}{d x + c}\right) + 5 \, d^{2} \left(\frac{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^{3} d^{9}}\right)^{\frac{1}{4}} \log\left(\frac{5 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}} - {\left(b d^{3} x + b c d^{2}\right)} \left(\frac{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^{3} d^{9}}\right)^{\frac{1}{4}}\right)}}{d x + c}\right) - 4 \, {\left(4 \, b d x - 5 \, b c + 9 \, a d\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{32 \, d^{2}}"," ",0,"-1/32*(20*d^2*((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^3*d^9))^(1/4)*arctan(-((b^4*c^2*d^7 - 2*a*b^3*c*d^8 + a^2*b^2*d^9)*(b*x + a)^(1/4)*(d*x + c)^(3/4)*((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^3*d^9))^(3/4) - (b^2*d^8*x + b^2*c*d^7)*sqrt(((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(b*x + a)*sqrt(d*x + c) + (b^2*d^5*x + b^2*c*d^4)*sqrt((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^3*d^9)))/(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)/(b^3*d^9))^(3/4))/(b^8*c^9 - 8*a*b^7*c^8*d + 28*a^2*b^6*c^7*d^2 - 56*a^3*b^5*c^6*d^3 + 70*a^4*b^4*c^5*d^4 - 56*a^5*b^3*c^4*d^5 + 28*a^6*b^2*c^3*d^6 - 8*a^7*b*c^2*d^7 + a^8*c*d^8 + (b^8*c^8*d - 8*a*b^7*c^7*d^2 + 28*a^2*b^6*c^6*d^3 - 56*a^3*b^5*c^5*d^4 + 70*a^4*b^4*c^4*d^5 - 56*a^5*b^3*c^3*d^6 + 28*a^6*b^2*c^2*d^7 - 8*a^7*b*c*d^8 + a^8*d^9)*x)) - 5*d^2*((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^3*d^9))^(1/4)*log(5*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/4)*(d*x + c)^(3/4) + (b*d^3*x + b*c*d^2)*((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^3*d^9))^(1/4))/(d*x + c)) + 5*d^2*((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^3*d^9))^(1/4)*log(5*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/4)*(d*x + c)^(3/4) - (b*d^3*x + b*c*d^2)*((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^3*d^9))^(1/4))/(d*x + c)) - 4*(4*b*d*x - 5*b*c + 9*a*d)*(b*x + a)^(1/4)*(d*x + c)^(3/4))/d^2","B",0
1694,1,814,0,1.133141," ","integrate((b*x+a)^(1/4)/(d*x+c)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, d \left(\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}}{b^{3} d^{5}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(b^{3} c d^{4} - a b^{2} d^{5}\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}} \left(\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}}{b^{3} d^{5}}\right)^{\frac{3}{4}} + {\left(b^{2} d^{5} x + b^{2} c d^{4}\right)} \sqrt{\frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c} + {\left(b^{2} d^{3} x + b^{2} c d^{2}\right)} \sqrt{\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}}{b^{3} d^{5}}}}{d x + c}} \left(\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}}{b^{3} d^{5}}\right)^{\frac{3}{4}}}{b^{4} c^{5} - 4 \, a b^{3} c^{4} d + 6 \, a^{2} b^{2} c^{3} d^{2} - 4 \, a^{3} b c^{2} d^{3} + a^{4} c d^{4} + {\left(b^{4} c^{4} d - 4 \, a b^{3} c^{3} d^{2} + 6 \, a^{2} b^{2} c^{2} d^{3} - 4 \, a^{3} b c d^{4} + a^{4} d^{5}\right)} x}\right) + d \left(\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}}{b^{3} d^{5}}\right)^{\frac{1}{4}} \log\left(-\frac{{\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}} + {\left(b d^{2} x + b c d\right)} \left(\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}}{b^{3} d^{5}}\right)^{\frac{1}{4}}}{d x + c}\right) - d \left(\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}}{b^{3} d^{5}}\right)^{\frac{1}{4}} \log\left(-\frac{{\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}} - {\left(b d^{2} x + b c d\right)} \left(\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}}{b^{3} d^{5}}\right)^{\frac{1}{4}}}{d x + c}\right) - 4 \, {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{4 \, d}"," ",0,"-1/4*(4*d*((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)/(b^3*d^5))^(1/4)*arctan(((b^3*c*d^4 - a*b^2*d^5)*(b*x + a)^(1/4)*(d*x + c)^(3/4)*((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)/(b^3*d^5))^(3/4) + (b^2*d^5*x + b^2*c*d^4)*sqrt(((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(b*x + a)*sqrt(d*x + c) + (b^2*d^3*x + b^2*c*d^2)*sqrt((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)/(b^3*d^5)))/(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)/(b^3*d^5))^(3/4))/(b^4*c^5 - 4*a*b^3*c^4*d + 6*a^2*b^2*c^3*d^2 - 4*a^3*b*c^2*d^3 + a^4*c*d^4 + (b^4*c^4*d - 4*a*b^3*c^3*d^2 + 6*a^2*b^2*c^2*d^3 - 4*a^3*b*c*d^4 + a^4*d^5)*x)) + d*((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)/(b^3*d^5))^(1/4)*log(-((b*c - a*d)*(b*x + a)^(1/4)*(d*x + c)^(3/4) + (b*d^2*x + b*c*d)*((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)/(b^3*d^5))^(1/4))/(d*x + c)) - d*((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)/(b^3*d^5))^(1/4)*log(-((b*c - a*d)*(b*x + a)^(1/4)*(d*x + c)^(3/4) - (b*d^2*x + b*c*d)*((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)/(b^3*d^5))^(1/4))/(d*x + c)) - 4*(b*x + a)^(1/4)*(d*x + c)^(3/4))/d","B",0
1695,1,234,0,0.746858," ","integrate(1/(b*x+a)^(3/4)/(d*x+c)^(1/4),x, algorithm=""fricas"")","-4 \, \left(\frac{1}{b^{3} d}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}} b^{2} d \left(\frac{1}{b^{3} d}\right)^{\frac{3}{4}} - {\left(b^{2} d^{2} x + b^{2} c d\right)} \sqrt{\frac{{\left(b^{2} d x + b^{2} c\right)} \sqrt{\frac{1}{b^{3} d}} + \sqrt{b x + a} \sqrt{d x + c}}{d x + c}} \left(\frac{1}{b^{3} d}\right)^{\frac{3}{4}}}{d x + c}\right) + \left(\frac{1}{b^{3} d}\right)^{\frac{1}{4}} \log\left(\frac{{\left(b d x + b c\right)} \left(\frac{1}{b^{3} d}\right)^{\frac{1}{4}} + {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{d x + c}\right) - \left(\frac{1}{b^{3} d}\right)^{\frac{1}{4}} \log\left(-\frac{{\left(b d x + b c\right)} \left(\frac{1}{b^{3} d}\right)^{\frac{1}{4}} - {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{d x + c}\right)"," ",0,"-4*(1/(b^3*d))^(1/4)*arctan(-((b*x + a)^(1/4)*(d*x + c)^(3/4)*b^2*d*(1/(b^3*d))^(3/4) - (b^2*d^2*x + b^2*c*d)*sqrt(((b^2*d*x + b^2*c)*sqrt(1/(b^3*d)) + sqrt(b*x + a)*sqrt(d*x + c))/(d*x + c))*(1/(b^3*d))^(3/4))/(d*x + c)) + (1/(b^3*d))^(1/4)*log(((b*d*x + b*c)*(1/(b^3*d))^(1/4) + (b*x + a)^(1/4)*(d*x + c)^(3/4))/(d*x + c)) - (1/(b^3*d))^(1/4)*log(-((b*d*x + b*c)*(1/(b^3*d))^(1/4) - (b*x + a)^(1/4)*(d*x + c)^(3/4))/(d*x + c))","B",0
1696,1,42,0,1.095826," ","integrate(1/(b*x+a)^(7/4)/(d*x+c)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{3 \, {\left(a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x\right)}}"," ",0,"-4/3*(b*x + a)^(1/4)*(d*x + c)^(3/4)/(a*b*c - a^2*d + (b^2*c - a*b*d)*x)","A",0
1697,1,118,0,1.300146," ","integrate(1/(b*x+a)^(11/4)/(d*x+c)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(4 \, b d x - 3 \, b c + 7 \, a d\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{21 \, {\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,"4/21*(4*b*d*x - 3*b*c + 7*a*d)*(b*x + a)^(1/4)*(d*x + c)^(3/4)/(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
1698,1,252,0,2.549043," ","integrate(1/(b*x+a)^(15/4)/(d*x+c)^(1/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(32 \, b^{2} d^{2} x^{2} + 21 \, b^{2} c^{2} - 66 \, a b c d + 77 \, a^{2} d^{2} - 8 \, {\left(3 \, b^{2} c d - 11 \, a b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{231 \, {\left(a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3} + {\left(b^{6} c^{3} - 3 \, a b^{5} c^{2} d + 3 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} x^{3} + 3 \, {\left(a b^{5} c^{3} - 3 \, a^{2} b^{4} c^{2} d + 3 \, a^{3} b^{3} c d^{2} - a^{4} b^{2} d^{3}\right)} x^{2} + 3 \, {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{3} c^{2} d + 3 \, a^{4} b^{2} c d^{2} - a^{5} b d^{3}\right)} x\right)}}"," ",0,"-4/231*(32*b^2*d^2*x^2 + 21*b^2*c^2 - 66*a*b*c*d + 77*a^2*d^2 - 8*(3*b^2*c*d - 11*a*b*d^2)*x)*(b*x + a)^(1/4)*(d*x + c)^(3/4)/(a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3 + (b^6*c^3 - 3*a*b^5*c^2*d + 3*a^2*b^4*c*d^2 - a^3*b^3*d^3)*x^3 + 3*(a*b^5*c^3 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 - a^4*b^2*d^3)*x^2 + 3*(a^2*b^4*c^3 - 3*a^3*b^3*c^2*d + 3*a^4*b^2*c*d^2 - a^5*b*d^3)*x)","B",0
1699,1,419,0,5.098067," ","integrate(1/(b*x+a)^(19/4)/(d*x+c)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(128 \, b^{3} d^{3} x^{3} - 77 \, b^{3} c^{3} + 315 \, a b^{2} c^{2} d - 495 \, a^{2} b c d^{2} + 385 \, a^{3} d^{3} - 96 \, {\left(b^{3} c d^{2} - 5 \, a b^{2} d^{3}\right)} x^{2} + 12 \, {\left(7 \, b^{3} c^{2} d - 30 \, a b^{2} c d^{2} + 55 \, a^{2} b d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{1155 \, {\left(a^{4} b^{4} c^{4} - 4 \, a^{5} b^{3} c^{3} d + 6 \, a^{6} b^{2} c^{2} d^{2} - 4 \, a^{7} b c d^{3} + a^{8} d^{4} + {\left(b^{8} c^{4} - 4 \, a b^{7} c^{3} d + 6 \, a^{2} b^{6} c^{2} d^{2} - 4 \, a^{3} b^{5} c d^{3} + a^{4} b^{4} d^{4}\right)} x^{4} + 4 \, {\left(a b^{7} c^{4} - 4 \, a^{2} b^{6} c^{3} d + 6 \, a^{3} b^{5} c^{2} d^{2} - 4 \, a^{4} b^{4} c d^{3} + a^{5} b^{3} d^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{6} c^{4} - 4 \, a^{3} b^{5} c^{3} d + 6 \, a^{4} b^{4} c^{2} d^{2} - 4 \, a^{5} b^{3} c d^{3} + a^{6} b^{2} d^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{5} c^{4} - 4 \, a^{4} b^{4} c^{3} d + 6 \, a^{5} b^{3} c^{2} d^{2} - 4 \, a^{6} b^{2} c d^{3} + a^{7} b d^{4}\right)} x\right)}}"," ",0,"4/1155*(128*b^3*d^3*x^3 - 77*b^3*c^3 + 315*a*b^2*c^2*d - 495*a^2*b*c*d^2 + 385*a^3*d^3 - 96*(b^3*c*d^2 - 5*a*b^2*d^3)*x^2 + 12*(7*b^3*c^2*d - 30*a*b^2*c*d^2 + 55*a^2*b*d^3)*x)*(b*x + a)^(1/4)*(d*x + c)^(3/4)/(a^4*b^4*c^4 - 4*a^5*b^3*c^3*d + 6*a^6*b^2*c^2*d^2 - 4*a^7*b*c*d^3 + a^8*d^4 + (b^8*c^4 - 4*a*b^7*c^3*d + 6*a^2*b^6*c^2*d^2 - 4*a^3*b^5*c*d^3 + a^4*b^4*d^4)*x^4 + 4*(a*b^7*c^4 - 4*a^2*b^6*c^3*d + 6*a^3*b^5*c^2*d^2 - 4*a^4*b^4*c*d^3 + a^5*b^3*d^4)*x^3 + 6*(a^2*b^6*c^4 - 4*a^3*b^5*c^3*d + 6*a^4*b^4*c^2*d^2 - 4*a^5*b^3*c*d^3 + a^6*b^2*d^4)*x^2 + 4*(a^3*b^5*c^4 - 4*a^4*b^4*c^3*d + 6*a^5*b^3*c^2*d^2 - 4*a^6*b^2*c*d^3 + a^7*b*d^4)*x)","B",0
1700,0,0,0,1.135994," ","integrate((b*x+a)^(7/4)/(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{7}{4}}}{{\left(d x + c\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral((b*x + a)^(7/4)/(d*x + c)^(1/4), x)","F",0
1701,0,0,0,0.900164," ","integrate((b*x+a)^(3/4)/(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{4}}}{{\left(d x + c\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral((b*x + a)^(3/4)/(d*x + c)^(1/4), x)","F",0
1702,0,0,0,0.809627," ","integrate(1/(b*x+a)^(1/4)/(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(3/4)*(d*x + c)^(3/4)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1703,0,0,0,1.175989," ","integrate(1/(b*x+a)^(5/4)/(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{2} d x^{3} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2} + {\left(2 \, a b c + a^{2} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(3/4)*(d*x + c)^(3/4)/(b^2*d*x^3 + a^2*c + (b^2*c + 2*a*b*d)*x^2 + (2*a*b*c + a^2*d)*x), x)","F",0
1704,0,0,0,1.215010," ","integrate(1/(b*x+a)^(9/4)/(d*x+c)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{3} d x^{4} + a^{3} c + {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{3} + 3 \, {\left(a b^{2} c + a^{2} b d\right)} x^{2} + {\left(3 \, a^{2} b c + a^{3} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(3/4)*(d*x + c)^(3/4)/(b^3*d*x^4 + a^3*c + (b^3*c + 3*a*b^2*d)*x^3 + 3*(a*b^2*c + a^2*b*d)*x^2 + (3*a^2*b*c + a^3*d)*x), x)","F",0
1705,1,1457,0,1.025552," ","integrate((b*x+a)^(7/4)/(d*x+c)^(3/4),x, algorithm=""fricas"")","-\frac{84 \, d^{2} \left(\frac{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 d^{11}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(b^{3} c^{2} d^{8} - 2 \, a b^{2} c d^{9} + a^{2} b d^{10}\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} \left(\frac{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 d^{11}}\right)^{\frac{3}{4}} - {\left(b^{2} d^{8} x + a b d^{8}\right)} \sqrt{\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)} \sqrt{b x + a} \sqrt{d x + c} + {\left(b d^{6} x + a d^{6}\right)} \sqrt{\frac{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 d^{11}}}}{b x + a}} \left(\frac{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 d^{11}}\right)^{\frac{3}{4}}}{a b^{8} c^{8} - 8 \, a^{2} b^{7} c^{7} d + 28 \, a^{3} b^{6} c^{6} d^{2} - 56 \, a^{4} b^{5} c^{5} d^{3} + 70 \, a^{5} b^{4} c^{4} d^{4} - 56 \, a^{6} b^{3} c^{3} d^{5} + 28 \, a^{7} b^{2} c^{2} d^{6} - 8 \, a^{8} b c d^{7} + a^{9} d^{8} + {\left(b^{9} c^{8} - 8 \, a b^{8} c^{7} d + 28 \, a^{2} b^{7} c^{6} d^{2} - 56 \, a^{3} b^{6} c^{5} d^{3} + 70 \, a^{4} b^{5} c^{4} d^{4} - 56 \, a^{5} b^{4} c^{3} d^{5} + 28 \, a^{6} b^{3} c^{2} d^{6} - 8 \, a^{7} b^{2} c d^{7} + a^{8} b d^{8}\right)} x}\right) - 21 \, d^{2} \left(\frac{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 d^{11}}\right)^{\frac{1}{4}} \log\left(\frac{21 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} + {\left(b d^{3} x + a d^{3}\right)} \left(\frac{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 d^{11}}\right)^{\frac{1}{4}}\right)}}{b x + a}\right) + 21 \, d^{2} \left(\frac{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 d^{11}}\right)^{\frac{1}{4}} \log\left(\frac{21 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} - {\left(b d^{3} x + a d^{3}\right)} \left(\frac{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 d^{11}}\right)^{\frac{1}{4}}\right)}}{b x + a}\right) - 4 \, {\left(4 \, b d x - 7 \, b c + 11 \, a d\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{32 \, d^{2}}"," ",0,"-1/32*(84*d^2*((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*d^11))^(1/4)*arctan(-((b^3*c^2*d^8 - 2*a*b^2*c*d^9 + a^2*b*d^10)*(b*x + a)^(3/4)*(d*x + c)^(1/4)*((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*d^11))^(3/4) - (b^2*d^8*x + a*b*d^8)*sqrt(((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(b*x + a)*sqrt(d*x + c) + (b*d^6*x + a*d^6)*sqrt((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*d^11)))/(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*d^11))^(3/4))/(a*b^8*c^8 - 8*a^2*b^7*c^7*d + 28*a^3*b^6*c^6*d^2 - 56*a^4*b^5*c^5*d^3 + 70*a^5*b^4*c^4*d^4 - 56*a^6*b^3*c^3*d^5 + 28*a^7*b^2*c^2*d^6 - 8*a^8*b*c*d^7 + a^9*d^8 + (b^9*c^8 - 8*a*b^8*c^7*d + 28*a^2*b^7*c^6*d^2 - 56*a^3*b^6*c^5*d^3 + 70*a^4*b^5*c^4*d^4 - 56*a^5*b^4*c^3*d^5 + 28*a^6*b^3*c^2*d^6 - 8*a^7*b^2*c*d^7 + a^8*b*d^8)*x)) - 21*d^2*((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*d^11))^(1/4)*log(21*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(3/4)*(d*x + c)^(1/4) + (b*d^3*x + a*d^3)*((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*d^11))^(1/4))/(b*x + a)) + 21*d^2*((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*d^11))^(1/4)*log(21*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(3/4)*(d*x + c)^(1/4) - (b*d^3*x + a*d^3)*((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*d^11))^(1/4))/(b*x + a)) - 4*(4*b*d*x - 7*b*c + 11*a*d)*(b*x + a)^(3/4)*(d*x + c)^(1/4))/d^2","B",0
1706,1,808,0,1.415947," ","integrate((b*x+a)^(3/4)/(d*x+c)^(3/4),x, algorithm=""fricas"")","-\frac{12 \, d \left(\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}}{b d^{7}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(b^{2} c d^{5} - a b d^{6}\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} \left(\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}}{b d^{7}}\right)^{\frac{3}{4}} + {\left(b^{2} d^{5} x + a b d^{5}\right)} \sqrt{\frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c} + {\left(b d^{4} x + a d^{4}\right)} \sqrt{\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}}{b d^{7}}}}{b x + a}} \left(\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}}{b d^{7}}\right)^{\frac{3}{4}}}{a b^{4} c^{4} - 4 \, a^{2} b^{3} c^{3} d + 6 \, a^{3} b^{2} c^{2} d^{2} - 4 \, a^{4} b c d^{3} + a^{5} d^{4} + {\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)} x}\right) + 3 \, d \left(\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}}{b d^{7}}\right)^{\frac{1}{4}} \log\left(-\frac{3 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} + {\left(b d^{2} x + a d^{2}\right)} \left(\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}}{b d^{7}}\right)^{\frac{1}{4}}\right)}}{b x + a}\right) - 3 \, d \left(\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}}{b d^{7}}\right)^{\frac{1}{4}} \log\left(-\frac{3 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} - {\left(b d^{2} x + a d^{2}\right)} \left(\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}}{b d^{7}}\right)^{\frac{1}{4}}\right)}}{b x + a}\right) - 4 \, {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{4 \, d}"," ",0,"-1/4*(12*d*((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)/(b*d^7))^(1/4)*arctan(((b^2*c*d^5 - a*b*d^6)*(b*x + a)^(3/4)*(d*x + c)^(1/4)*((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)/(b*d^7))^(3/4) + (b^2*d^5*x + a*b*d^5)*sqrt(((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(b*x + a)*sqrt(d*x + c) + (b*d^4*x + a*d^4)*sqrt((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)/(b*d^7)))/(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)/(b*d^7))^(3/4))/(a*b^4*c^4 - 4*a^2*b^3*c^3*d + 6*a^3*b^2*c^2*d^2 - 4*a^4*b*c*d^3 + a^5*d^4 + (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)*x)) + 3*d*((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)/(b*d^7))^(1/4)*log(-3*((b*c - a*d)*(b*x + a)^(3/4)*(d*x + c)^(1/4) + (b*d^2*x + a*d^2)*((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)/(b*d^7))^(1/4))/(b*x + a)) - 3*d*((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)/(b*d^7))^(1/4)*log(-3*((b*c - a*d)*(b*x + a)^(3/4)*(d*x + c)^(1/4) - (b*d^2*x + a*d^2)*((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)/(b*d^7))^(1/4))/(b*x + a)) - 4*(b*x + a)^(3/4)*(d*x + c)^(1/4))/d","B",0
1707,1,234,0,1.237834," ","integrate(1/(b*x+a)^(1/4)/(d*x+c)^(3/4),x, algorithm=""fricas"")","-4 \, \left(\frac{1}{b d^{3}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}} b d^{2} \left(\frac{1}{b d^{3}}\right)^{\frac{3}{4}} - {\left(b^{2} d^{2} x + a b d^{2}\right)} \sqrt{\frac{{\left(b d^{2} x + a d^{2}\right)} \sqrt{\frac{1}{b d^{3}}} + \sqrt{b x + a} \sqrt{d x + c}}{b x + a}} \left(\frac{1}{b d^{3}}\right)^{\frac{3}{4}}}{b x + a}\right) + \left(\frac{1}{b d^{3}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(b d x + a d\right)} \left(\frac{1}{b d^{3}}\right)^{\frac{1}{4}} + {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{b x + a}\right) - \left(\frac{1}{b d^{3}}\right)^{\frac{1}{4}} \log\left(-\frac{{\left(b d x + a d\right)} \left(\frac{1}{b d^{3}}\right)^{\frac{1}{4}} - {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{b x + a}\right)"," ",0,"-4*(1/(b*d^3))^(1/4)*arctan(-((b*x + a)^(3/4)*(d*x + c)^(1/4)*b*d^2*(1/(b*d^3))^(3/4) - (b^2*d^2*x + a*b*d^2)*sqrt(((b*d^2*x + a*d^2)*sqrt(1/(b*d^3)) + sqrt(b*x + a)*sqrt(d*x + c))/(b*x + a))*(1/(b*d^3))^(3/4))/(b*x + a)) + (1/(b*d^3))^(1/4)*log(((b*d*x + a*d)*(1/(b*d^3))^(1/4) + (b*x + a)^(3/4)*(d*x + c)^(1/4))/(b*x + a)) - (1/(b*d^3))^(1/4)*log(-((b*d*x + a*d)*(1/(b*d^3))^(1/4) - (b*x + a)^(3/4)*(d*x + c)^(1/4))/(b*x + a))","B",0
1708,1,42,0,1.170817," ","integrate(1/(b*x+a)^(5/4)/(d*x+c)^(3/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x}"," ",0,"-4*(b*x + a)^(3/4)*(d*x + c)^(1/4)/(a*b*c - a^2*d + (b^2*c - a*b*d)*x)","A",0
1709,1,118,0,1.213908," ","integrate(1/(b*x+a)^(9/4)/(d*x+c)^(3/4),x, algorithm=""fricas"")","\frac{4 \, {\left(4 \, b d x - b c + 5 \, a d\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{5 \, {\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,"4/5*(4*b*d*x - b*c + 5*a*d)*(b*x + a)^(3/4)*(d*x + c)^(1/4)/(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
1710,1,251,0,0.876669," ","integrate(1/(b*x+a)^(13/4)/(d*x+c)^(3/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(32 \, b^{2} d^{2} x^{2} + 5 \, b^{2} c^{2} - 18 \, a b c d + 45 \, a^{2} d^{2} - 8 \, {\left(b^{2} c d - 9 \, a b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{45 \, {\left(a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3} + {\left(b^{6} c^{3} - 3 \, a b^{5} c^{2} d + 3 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} x^{3} + 3 \, {\left(a b^{5} c^{3} - 3 \, a^{2} b^{4} c^{2} d + 3 \, a^{3} b^{3} c d^{2} - a^{4} b^{2} d^{3}\right)} x^{2} + 3 \, {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{3} c^{2} d + 3 \, a^{4} b^{2} c d^{2} - a^{5} b d^{3}\right)} x\right)}}"," ",0,"-4/45*(32*b^2*d^2*x^2 + 5*b^2*c^2 - 18*a*b*c*d + 45*a^2*d^2 - 8*(b^2*c*d - 9*a*b*d^2)*x)*(b*x + a)^(3/4)*(d*x + c)^(1/4)/(a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3 + (b^6*c^3 - 3*a*b^5*c^2*d + 3*a^2*b^4*c*d^2 - a^3*b^3*d^3)*x^3 + 3*(a*b^5*c^3 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 - a^4*b^2*d^3)*x^2 + 3*(a^2*b^4*c^3 - 3*a^3*b^3*c^2*d + 3*a^4*b^2*c*d^2 - a^5*b*d^3)*x)","B",0
1711,1,419,0,1.317296," ","integrate(1/(b*x+a)^(17/4)/(d*x+c)^(3/4),x, algorithm=""fricas"")","\frac{4 \, {\left(128 \, b^{3} d^{3} x^{3} - 15 \, b^{3} c^{3} + 65 \, a b^{2} c^{2} d - 117 \, a^{2} b c d^{2} + 195 \, a^{3} d^{3} - 32 \, {\left(b^{3} c d^{2} - 13 \, a b^{2} d^{3}\right)} x^{2} + 4 \, {\left(5 \, b^{3} c^{2} d - 26 \, a b^{2} c d^{2} + 117 \, a^{2} b d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{195 \, {\left(a^{4} b^{4} c^{4} - 4 \, a^{5} b^{3} c^{3} d + 6 \, a^{6} b^{2} c^{2} d^{2} - 4 \, a^{7} b c d^{3} + a^{8} d^{4} + {\left(b^{8} c^{4} - 4 \, a b^{7} c^{3} d + 6 \, a^{2} b^{6} c^{2} d^{2} - 4 \, a^{3} b^{5} c d^{3} + a^{4} b^{4} d^{4}\right)} x^{4} + 4 \, {\left(a b^{7} c^{4} - 4 \, a^{2} b^{6} c^{3} d + 6 \, a^{3} b^{5} c^{2} d^{2} - 4 \, a^{4} b^{4} c d^{3} + a^{5} b^{3} d^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{6} c^{4} - 4 \, a^{3} b^{5} c^{3} d + 6 \, a^{4} b^{4} c^{2} d^{2} - 4 \, a^{5} b^{3} c d^{3} + a^{6} b^{2} d^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{5} c^{4} - 4 \, a^{4} b^{4} c^{3} d + 6 \, a^{5} b^{3} c^{2} d^{2} - 4 \, a^{6} b^{2} c d^{3} + a^{7} b d^{4}\right)} x\right)}}"," ",0,"4/195*(128*b^3*d^3*x^3 - 15*b^3*c^3 + 65*a*b^2*c^2*d - 117*a^2*b*c*d^2 + 195*a^3*d^3 - 32*(b^3*c*d^2 - 13*a*b^2*d^3)*x^2 + 4*(5*b^3*c^2*d - 26*a*b^2*c*d^2 + 117*a^2*b*d^3)*x)*(b*x + a)^(3/4)*(d*x + c)^(1/4)/(a^4*b^4*c^4 - 4*a^5*b^3*c^3*d + 6*a^6*b^2*c^2*d^2 - 4*a^7*b*c*d^3 + a^8*d^4 + (b^8*c^4 - 4*a*b^7*c^3*d + 6*a^2*b^6*c^2*d^2 - 4*a^3*b^5*c*d^3 + a^4*b^4*d^4)*x^4 + 4*(a*b^7*c^4 - 4*a^2*b^6*c^3*d + 6*a^3*b^5*c^2*d^2 - 4*a^4*b^4*c*d^3 + a^5*b^3*d^4)*x^3 + 6*(a^2*b^6*c^4 - 4*a^3*b^5*c^3*d + 6*a^4*b^4*c^2*d^2 - 4*a^5*b^3*c*d^3 + a^6*b^2*d^4)*x^2 + 4*(a^3*b^5*c^4 - 4*a^4*b^4*c^3*d + 6*a^5*b^3*c^2*d^2 - 4*a^6*b^2*c*d^3 + a^7*b*d^4)*x)","B",0
1712,0,0,0,1.208531," ","integrate((b*x+a)^(5/4)/(d*x+c)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{4}}}{{\left(d x + c\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral((b*x + a)^(5/4)/(d*x + c)^(3/4), x)","F",0
1713,0,0,0,0.784317," ","integrate((b*x+a)^(1/4)/(d*x+c)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{4}}}{{\left(d x + c\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral((b*x + a)^(1/4)/(d*x + c)^(3/4), x)","F",0
1714,0,0,0,1.340524," ","integrate(1/(b*x+a)^(3/4)/(d*x+c)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(1/4)*(d*x + c)^(1/4)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1715,0,0,0,1.305694," ","integrate(1/(b*x+a)^(7/4)/(d*x+c)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{b^{2} d x^{3} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2} + {\left(2 \, a b c + a^{2} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(1/4)*(d*x + c)^(1/4)/(b^2*d*x^3 + a^2*c + (b^2*c + 2*a*b*d)*x^2 + (2*a*b*c + a^2*d)*x), x)","F",0
1716,0,0,0,1.344242," ","integrate(1/(b*x+a)^(11/4)/(d*x+c)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}{b^{3} d x^{4} + a^{3} c + {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{3} + 3 \, {\left(a b^{2} c + a^{2} b d\right)} x^{2} + {\left(3 \, a^{2} b c + a^{3} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(1/4)*(d*x + c)^(1/4)/(b^3*d*x^4 + a^3*c + (b^3*c + 3*a*b^2*d)*x^3 + 3*(a*b^2*c + a^2*b*d)*x^2 + (3*a^2*b*c + a^3*d)*x), x)","F",0
1717,1,857,0,1.217226," ","integrate((b*x+a)^(5/4)/(d*x+c)^(5/4),x, algorithm=""fricas"")","-\frac{20 \, {\left(d^{3} x + c d^{2}\right)} \left(\frac{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^{9}}\right)^{\frac{1}{4}} \arctan\left(\frac{{\left(b c d^{7} - a d^{8}\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}} \left(\frac{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^{9}}\right)^{\frac{3}{4}} + {\left(d^{8} x + c d^{7}\right)} \sqrt{\frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c} + {\left(d^{5} x + c d^{4}\right)} \sqrt{\frac{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^{9}}}}{d x + c}} \left(\frac{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^{9}}\right)^{\frac{3}{4}}}{b^{5} c^{5} - 4 \, a b^{4} c^{4} d + 6 \, a^{2} b^{3} c^{3} d^{2} - 4 \, a^{3} b^{2} c^{2} d^{3} + a^{4} b c d^{4} + {\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}\right) + 5 \, {\left(d^{3} x + c d^{2}\right)} \left(\frac{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^{9}}\right)^{\frac{1}{4}} \log\left(-\frac{5 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}} + {\left(d^{3} x + c d^{2}\right)} \left(\frac{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^{9}}\right)^{\frac{1}{4}}\right)}}{d x + c}\right) - 5 \, {\left(d^{3} x + c d^{2}\right)} \left(\frac{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^{9}}\right)^{\frac{1}{4}} \log\left(-\frac{5 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}} - {\left(d^{3} x + c d^{2}\right)} \left(\frac{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^{9}}\right)^{\frac{1}{4}}\right)}}{d x + c}\right) - 4 \, {\left(b d x + 5 \, b c - 4 \, a d\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{4 \, {\left(d^{3} x + c d^{2}\right)}}"," ",0,"-1/4*(20*(d^3*x + c*d^2)*((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^9)^(1/4)*arctan(((b*c*d^7 - a*d^8)*(b*x + a)^(1/4)*(d*x + c)^(3/4)*((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^9)^(3/4) + (d^8*x + c*d^7)*sqrt(((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(b*x + a)*sqrt(d*x + c) + (d^5*x + c*d^4)*sqrt((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^9))/(d*x + c))*((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^9)^(3/4))/(b^5*c^5 - 4*a*b^4*c^4*d + 6*a^2*b^3*c^3*d^2 - 4*a^3*b^2*c^2*d^3 + a^4*b*c*d^4 + (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)) + 5*(d^3*x + c*d^2)*((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^9)^(1/4)*log(-5*((b*c - a*d)*(b*x + a)^(1/4)*(d*x + c)^(3/4) + (d^3*x + c*d^2)*((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^9)^(1/4))/(d*x + c)) - 5*(d^3*x + c*d^2)*((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^9)^(1/4)*log(-5*((b*c - a*d)*(b*x + a)^(1/4)*(d*x + c)^(3/4) - (d^3*x + c*d^2)*((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^9)^(1/4))/(d*x + c)) - 4*(b*d*x + 5*b*c - 4*a*d)*(b*x + a)^(1/4)*(d*x + c)^(3/4))/(d^3*x + c*d^2)","B",0
1718,1,273,0,1.716461," ","integrate((b*x+a)^(1/4)/(d*x+c)^(5/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(d^{2} x + c d\right)} \left(\frac{b}{d^{5}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}} d^{4} \left(\frac{b}{d^{5}}\right)^{\frac{3}{4}} - {\left(d^{5} x + c d^{4}\right)} \sqrt{\frac{{\left(d^{3} x + c d^{2}\right)} \sqrt{\frac{b}{d^{5}}} + \sqrt{b x + a} \sqrt{d x + c}}{d x + c}} \left(\frac{b}{d^{5}}\right)^{\frac{3}{4}}}{b d x + b c}\right) - {\left(d^{2} x + c d\right)} \left(\frac{b}{d^{5}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(d^{2} x + c d\right)} \left(\frac{b}{d^{5}}\right)^{\frac{1}{4}} + {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{d x + c}\right) + {\left(d^{2} x + c d\right)} \left(\frac{b}{d^{5}}\right)^{\frac{1}{4}} \log\left(-\frac{{\left(d^{2} x + c d\right)} \left(\frac{b}{d^{5}}\right)^{\frac{1}{4}} - {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{d x + c}\right) + 4 \, {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{d^{2} x + c d}"," ",0,"-(4*(d^2*x + c*d)*(b/d^5)^(1/4)*arctan(-((b*x + a)^(1/4)*(d*x + c)^(3/4)*d^4*(b/d^5)^(3/4) - (d^5*x + c*d^4)*sqrt(((d^3*x + c*d^2)*sqrt(b/d^5) + sqrt(b*x + a)*sqrt(d*x + c))/(d*x + c))*(b/d^5)^(3/4))/(b*d*x + b*c)) - (d^2*x + c*d)*(b/d^5)^(1/4)*log(((d^2*x + c*d)*(b/d^5)^(1/4) + (b*x + a)^(1/4)*(d*x + c)^(3/4))/(d*x + c)) + (d^2*x + c*d)*(b/d^5)^(1/4)*log(-((d^2*x + c*d)*(b/d^5)^(1/4) - (b*x + a)^(1/4)*(d*x + c)^(3/4))/(d*x + c)) + 4*(b*x + a)^(1/4)*(d*x + c)^(3/4))/(d^2*x + c*d)","B",0
1719,1,42,0,0.772036," ","integrate(1/(b*x+a)^(3/4)/(d*x+c)^(5/4),x, algorithm=""fricas"")","\frac{4 \, {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x}"," ",0,"4*(b*x + a)^(1/4)*(d*x + c)^(3/4)/(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)","A",0
1720,1,126,0,1.167209," ","integrate(1/(b*x+a)^(7/4)/(d*x+c)^(5/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(4 \, b d x + b c + 3 \, a d\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{3 \, {\left(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\right)}}"," ",0,"-4/3*(4*b*d*x + b*c + 3*a*d)*(b*x + a)^(1/4)*(d*x + c)^(3/4)/(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
1721,1,273,0,1.385973," ","integrate(1/(b*x+a)^(11/4)/(d*x+c)^(5/4),x, algorithm=""fricas"")","\frac{4 \, {\left(32 \, b^{2} d^{2} x^{2} - 3 \, b^{2} c^{2} + 14 \, a b c d + 21 \, a^{2} d^{2} + 8 \, {\left(b^{2} c d + 7 \, a b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{21 \, {\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,"4/21*(32*b^2*d^2*x^2 - 3*b^2*c^2 + 14*a*b*c*d + 21*a^2*d^2 + 8*(b^2*c*d + 7*a*b*d^2)*x)*(b*x + a)^(1/4)*(d*x + c)^(3/4)/(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
1722,1,457,0,2.577181," ","integrate(1/(b*x+a)^(15/4)/(d*x+c)^(5/4),x, algorithm=""fricas"")","-\frac{4 \, {\left(128 \, b^{3} d^{3} x^{3} + 7 \, b^{3} c^{3} - 33 \, a b^{2} c^{2} d + 77 \, a^{2} b c d^{2} + 77 \, a^{3} d^{3} + 32 \, {\left(b^{3} c d^{2} + 11 \, a b^{2} d^{3}\right)} x^{2} - 4 \, {\left(3 \, b^{3} c^{2} d - 22 \, a b^{2} c d^{2} - 77 \, a^{2} b d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{77 \, {\left(a^{3} b^{4} c^{5} - 4 \, a^{4} b^{3} c^{4} d + 6 \, a^{5} b^{2} c^{3} d^{2} - 4 \, a^{6} b c^{2} d^{3} + a^{7} c d^{4} + {\left(b^{7} c^{4} d - 4 \, a b^{6} c^{3} d^{2} + 6 \, a^{2} b^{5} c^{2} d^{3} - 4 \, a^{3} b^{4} c d^{4} + a^{4} b^{3} d^{5}\right)} x^{4} + {\left(b^{7} c^{5} - a b^{6} c^{4} d - 6 \, a^{2} b^{5} c^{3} d^{2} + 14 \, a^{3} b^{4} c^{2} d^{3} - 11 \, a^{4} b^{3} c d^{4} + 3 \, a^{5} b^{2} d^{5}\right)} x^{3} + 3 \, {\left(a b^{6} c^{5} - 3 \, a^{2} b^{5} c^{4} d + 2 \, a^{3} b^{4} c^{3} d^{2} + 2 \, a^{4} b^{3} c^{2} d^{3} - 3 \, a^{5} b^{2} c d^{4} + a^{6} b d^{5}\right)} x^{2} + {\left(3 \, a^{2} b^{5} c^{5} - 11 \, a^{3} b^{4} c^{4} d + 14 \, a^{4} b^{3} c^{3} d^{2} - 6 \, a^{5} b^{2} c^{2} d^{3} - a^{6} b c d^{4} + a^{7} d^{5}\right)} x\right)}}"," ",0,"-4/77*(128*b^3*d^3*x^3 + 7*b^3*c^3 - 33*a*b^2*c^2*d + 77*a^2*b*c*d^2 + 77*a^3*d^3 + 32*(b^3*c*d^2 + 11*a*b^2*d^3)*x^2 - 4*(3*b^3*c^2*d - 22*a*b^2*c*d^2 - 77*a^2*b*d^3)*x)*(b*x + a)^(1/4)*(d*x + c)^(3/4)/(a^3*b^4*c^5 - 4*a^4*b^3*c^4*d + 6*a^5*b^2*c^3*d^2 - 4*a^6*b*c^2*d^3 + a^7*c*d^4 + (b^7*c^4*d - 4*a*b^6*c^3*d^2 + 6*a^2*b^5*c^2*d^3 - 4*a^3*b^4*c*d^4 + a^4*b^3*d^5)*x^4 + (b^7*c^5 - a*b^6*c^4*d - 6*a^2*b^5*c^3*d^2 + 14*a^3*b^4*c^2*d^3 - 11*a^4*b^3*c*d^4 + 3*a^5*b^2*d^5)*x^3 + 3*(a*b^6*c^5 - 3*a^2*b^5*c^4*d + 2*a^3*b^4*c^3*d^2 + 2*a^4*b^3*c^2*d^3 - 3*a^5*b^2*c*d^4 + a^6*b*d^5)*x^2 + (3*a^2*b^5*c^5 - 11*a^3*b^4*c^4*d + 14*a^4*b^3*c^3*d^2 - 6*a^5*b^2*c^2*d^3 - a^6*b*c*d^4 + a^7*d^5)*x)","B",0
1723,0,0,0,1.419522," ","integrate((b*x+a)^(11/4)/(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2)*(b*x + a)^(3/4)*(d*x + c)^(3/4)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1724,0,0,0,1.101484," ","integrate((b*x+a)^(7/4)/(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{7}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b*x + a)^(7/4)*(d*x + c)^(3/4)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1725,0,0,0,1.119776," ","integrate((b*x+a)^(3/4)/(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b*x + a)^(3/4)*(d*x + c)^(3/4)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1726,0,0,0,1.386406," ","integrate(1/(b*x+a)^(1/4)/(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{b d^{2} x^{3} + a c^{2} + {\left(2 \, b c d + a d^{2}\right)} x^{2} + {\left(b c^{2} + 2 \, a c d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(3/4)*(d*x + c)^(3/4)/(b*d^2*x^3 + a*c^2 + (2*b*c*d + a*d^2)*x^2 + (b*c^2 + 2*a*c*d)*x), x)","F",0
1727,0,0,0,1.236345," ","integrate(1/(b*x+a)^(5/4)/(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{2} d^{2} x^{4} + a^{2} c^{2} + 2 \, {\left(b^{2} c d + a b d^{2}\right)} x^{3} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b c^{2} + a^{2} c d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(3/4)*(d*x + c)^(3/4)/(b^2*d^2*x^4 + a^2*c^2 + 2*(b^2*c*d + a*b*d^2)*x^3 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*x^2 + 2*(a*b*c^2 + a^2*c*d)*x), x)","F",0
1728,0,0,0,1.390002," ","integrate(1/(b*x+a)^(9/4)/(d*x+c)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}{b^{3} d^{2} x^{5} + a^{3} c^{2} + {\left(2 \, b^{3} c d + 3 \, a b^{2} d^{2}\right)} x^{4} + {\left(b^{3} c^{2} + 6 \, a b^{2} c d + 3 \, a^{2} b d^{2}\right)} x^{3} + {\left(3 \, a b^{2} c^{2} + 6 \, a^{2} b c d + a^{3} d^{2}\right)} x^{2} + {\left(3 \, a^{2} b c^{2} + 2 \, a^{3} c d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(3/4)*(d*x + c)^(3/4)/(b^3*d^2*x^5 + a^3*c^2 + (2*b^3*c*d + 3*a*b^2*d^2)*x^4 + (b^3*c^2 + 6*a*b^2*c*d + 3*a^2*b*d^2)*x^3 + (3*a*b^2*c^2 + 6*a^2*b*c*d + a^3*d^2)*x^2 + (3*a^2*b*c^2 + 2*a^3*c*d)*x), x)","F",0
1729,1,247,0,1.107081," ","integrate(1/(-a*x+1)^(1/4)/(b*x+1)^(3/4),x, algorithm=""fricas"")","-4 \, \left(-\frac{1}{a b^{3}}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(-a x + 1\right)}^{\frac{3}{4}} {\left(b x + 1\right)}^{\frac{1}{4}} a b^{2} \left(-\frac{1}{a b^{3}}\right)^{\frac{3}{4}} - {\left(a^{2} b^{2} x - a b^{2}\right)} \sqrt{\frac{{\left(a b^{2} x - b^{2}\right)} \sqrt{-\frac{1}{a b^{3}}} - \sqrt{-a x + 1} \sqrt{b x + 1}}{a x - 1}} \left(-\frac{1}{a b^{3}}\right)^{\frac{3}{4}}}{a x - 1}\right) - \left(-\frac{1}{a b^{3}}\right)^{\frac{1}{4}} \log\left(\frac{{\left(a b x - b\right)} \left(-\frac{1}{a b^{3}}\right)^{\frac{1}{4}} + {\left(-a x + 1\right)}^{\frac{3}{4}} {\left(b x + 1\right)}^{\frac{1}{4}}}{a x - 1}\right) + \left(-\frac{1}{a b^{3}}\right)^{\frac{1}{4}} \log\left(-\frac{{\left(a b x - b\right)} \left(-\frac{1}{a b^{3}}\right)^{\frac{1}{4}} - {\left(-a x + 1\right)}^{\frac{3}{4}} {\left(b x + 1\right)}^{\frac{1}{4}}}{a x - 1}\right)"," ",0,"-4*(-1/(a*b^3))^(1/4)*arctan(-((-a*x + 1)^(3/4)*(b*x + 1)^(1/4)*a*b^2*(-1/(a*b^3))^(3/4) - (a^2*b^2*x - a*b^2)*sqrt(((a*b^2*x - b^2)*sqrt(-1/(a*b^3)) - sqrt(-a*x + 1)*sqrt(b*x + 1))/(a*x - 1))*(-1/(a*b^3))^(3/4))/(a*x - 1)) - (-1/(a*b^3))^(1/4)*log(((a*b*x - b)*(-1/(a*b^3))^(1/4) + (-a*x + 1)^(3/4)*(b*x + 1)^(1/4))/(a*x - 1)) + (-1/(a*b^3))^(1/4)*log(-((a*b*x - b)*(-1/(a*b^3))^(1/4) - (-a*x + 1)^(3/4)*(b*x + 1)^(1/4))/(a*x - 1))","A",0
1730,1,448,0,0.919764," ","integrate(1/(-a*x+1)^(1/4)/(a*x+1)^(3/4),x, algorithm=""fricas"")","2 \, \sqrt{2} \frac{1}{a^{4}}^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(a x + 1\right)}^{\frac{1}{4}} {\left(-a x + 1\right)}^{\frac{3}{4}} a^{3} \frac{1}{a^{4}}^{\frac{3}{4}} - \sqrt{2} {\left(a^{4} x - a^{3}\right)} \sqrt{\frac{\sqrt{2} {\left(a x + 1\right)}^{\frac{1}{4}} {\left(-a x + 1\right)}^{\frac{3}{4}} a \frac{1}{a^{4}}^{\frac{1}{4}} + {\left(a^{3} x - a^{2}\right)} \sqrt{\frac{1}{a^{4}}} - \sqrt{a x + 1} \sqrt{-a x + 1}}{a x - 1}} \frac{1}{a^{4}}^{\frac{3}{4}} + a x - 1}{a x - 1}\right) + 2 \, \sqrt{2} \frac{1}{a^{4}}^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(a x + 1\right)}^{\frac{1}{4}} {\left(-a x + 1\right)}^{\frac{3}{4}} a^{3} \frac{1}{a^{4}}^{\frac{3}{4}} - \sqrt{2} {\left(a^{4} x - a^{3}\right)} \sqrt{-\frac{\sqrt{2} {\left(a x + 1\right)}^{\frac{1}{4}} {\left(-a x + 1\right)}^{\frac{3}{4}} a \frac{1}{a^{4}}^{\frac{1}{4}} - {\left(a^{3} x - a^{2}\right)} \sqrt{\frac{1}{a^{4}}} + \sqrt{a x + 1} \sqrt{-a x + 1}}{a x - 1}} \frac{1}{a^{4}}^{\frac{3}{4}} - a x + 1}{a x - 1}\right) - \frac{1}{2} \, \sqrt{2} \frac{1}{a^{4}}^{\frac{1}{4}} \log\left(\frac{\sqrt{2} {\left(a x + 1\right)}^{\frac{1}{4}} {\left(-a x + 1\right)}^{\frac{3}{4}} a \frac{1}{a^{4}}^{\frac{1}{4}} + {\left(a^{3} x - a^{2}\right)} \sqrt{\frac{1}{a^{4}}} - \sqrt{a x + 1} \sqrt{-a x + 1}}{a x - 1}\right) + \frac{1}{2} \, \sqrt{2} \frac{1}{a^{4}}^{\frac{1}{4}} \log\left(-\frac{\sqrt{2} {\left(a x + 1\right)}^{\frac{1}{4}} {\left(-a x + 1\right)}^{\frac{3}{4}} a \frac{1}{a^{4}}^{\frac{1}{4}} - {\left(a^{3} x - a^{2}\right)} \sqrt{\frac{1}{a^{4}}} + \sqrt{a x + 1} \sqrt{-a x + 1}}{a x - 1}\right)"," ",0,"2*sqrt(2)*(a^(-4))^(1/4)*arctan(-(sqrt(2)*(a*x + 1)^(1/4)*(-a*x + 1)^(3/4)*a^3*(a^(-4))^(3/4) - sqrt(2)*(a^4*x - a^3)*sqrt((sqrt(2)*(a*x + 1)^(1/4)*(-a*x + 1)^(3/4)*a*(a^(-4))^(1/4) + (a^3*x - a^2)*sqrt(a^(-4)) - sqrt(a*x + 1)*sqrt(-a*x + 1))/(a*x - 1))*(a^(-4))^(3/4) + a*x - 1)/(a*x - 1)) + 2*sqrt(2)*(a^(-4))^(1/4)*arctan(-(sqrt(2)*(a*x + 1)^(1/4)*(-a*x + 1)^(3/4)*a^3*(a^(-4))^(3/4) - sqrt(2)*(a^4*x - a^3)*sqrt(-(sqrt(2)*(a*x + 1)^(1/4)*(-a*x + 1)^(3/4)*a*(a^(-4))^(1/4) - (a^3*x - a^2)*sqrt(a^(-4)) + sqrt(a*x + 1)*sqrt(-a*x + 1))/(a*x - 1))*(a^(-4))^(3/4) - a*x + 1)/(a*x - 1)) - 1/2*sqrt(2)*(a^(-4))^(1/4)*log((sqrt(2)*(a*x + 1)^(1/4)*(-a*x + 1)^(3/4)*a*(a^(-4))^(1/4) + (a^3*x - a^2)*sqrt(a^(-4)) - sqrt(a*x + 1)*sqrt(-a*x + 1))/(a*x - 1)) + 1/2*sqrt(2)*(a^(-4))^(1/4)*log(-(sqrt(2)*(a*x + 1)^(1/4)*(-a*x + 1)^(3/4)*a*(a^(-4))^(1/4) - (a^3*x - a^2)*sqrt(a^(-4)) + sqrt(a*x + 1)*sqrt(-a*x + 1))/(a*x - 1))","B",0
1731,0,0,0,6.834111," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/5),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{1}{5}}}, x\right)"," ",0,"integral((b*x + a)^(3/2)/(d*x + c)^(1/5), x)","F",0
1732,0,0,0,6.553016," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/5),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{5}}}, x\right)"," ",0,"integral(sqrt(b*x + a)/(d*x + c)^(1/5), x)","F",0
1733,0,0,0,6.871363," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/5),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{4}{5}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(4/5)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1734,0,0,0,7.096360," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/5),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{4}{5}}}{b^{2} d x^{3} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2} + {\left(2 \, a b c + a^{2} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(4/5)/(b^2*d*x^3 + a^2*c + (b^2*c + 2*a*b*d)*x^2 + (2*a*b*c + a^2*d)*x), x)","F",0
1735,0,0,0,6.040120," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/5),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{4}{5}}}{b^{3} d x^{4} + a^{3} c + {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{3} + 3 \, {\left(a b^{2} c + a^{2} b d\right)} x^{2} + {\left(3 \, a^{2} b c + a^{3} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(4/5)/(b^3*d*x^4 + a^3*c + (b^3*c + 3*a*b^2*d)*x^3 + 3*(a*b^2*c + a^2*b*d)*x^2 + (3*a^2*b*c + a^3*d)*x), x)","F",0
1736,0,0,0,1.128775," ","integrate((b*x+a)^(5/2)*(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{6}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2)*sqrt(b*x + a)*(d*x + c)^(1/6), x)","F",0
1737,0,0,0,1.168745," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{6}}, x\right)"," ",0,"integral((b*x + a)^(3/2)*(d*x + c)^(1/6), x)","F",0
1738,0,0,0,1.131799," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{6}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/6), x)","F",0
1739,0,0,0,0.891930," ","integrate((d*x+c)^(1/6)/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{\frac{1}{6}}}{\sqrt{b x + a}}, x\right)"," ",0,"integral((d*x + c)^(1/6)/sqrt(b*x + a), x)","F",0
1740,0,0,0,1.270673," ","integrate((d*x+c)^(1/6)/(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{6}}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/6)/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1741,0,0,0,1.110628," ","integrate((d*x+c)^(1/6)/(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{6}}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/6)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
1742,0,0,0,1.402491," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{5}{6}}, x\right)"," ",0,"integral((b*x + a)^(3/2)*(d*x + c)^(5/6), x)","F",0
1743,0,0,0,1.778854," ","integrate((b*x+a)^(1/2)*(d*x+c)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/6), x)","F",0
1744,0,0,0,1.931315," ","integrate((d*x+c)^(5/6)/(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{\frac{5}{6}}}{\sqrt{b x + a}}, x\right)"," ",0,"integral((d*x + c)^(5/6)/sqrt(b*x + a), x)","F",0
1745,0,0,0,1.737486," ","integrate((d*x+c)^(5/6)/(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/6)/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1746,0,0,0,1.776933," ","integrate((d*x+c)^(5/6)/(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/6)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
1747,0,0,0,1.422723," ","integrate((d*x+c)^(5/6)/(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}{b^{4} x^{4} + 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a^{3} b x + a^{4}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/6)/(b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x + a^4), x)","F",0
1748,0,0,0,1.454339," ","integrate((b*x+a)^(5/2)/(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{6}}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2)*sqrt(b*x + a)/(d*x + c)^(1/6), x)","F",0
1749,0,0,0,1.528928," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{1}{6}}}, x\right)"," ",0,"integral((b*x + a)^(3/2)/(d*x + c)^(1/6), x)","F",0
1750,0,0,0,1.366802," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{6}}}, x\right)"," ",0,"integral(sqrt(b*x + a)/(d*x + c)^(1/6), x)","F",0
1751,0,0,0,1.286387," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/6)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1752,0,0,0,1.478295," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}{b^{2} d x^{3} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2} + {\left(2 \, a b c + a^{2} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/6)/(b^2*d*x^3 + a^2*c + (b^2*c + 2*a*b*d)*x^2 + (2*a*b*c + a^2*d)*x), x)","F",0
1753,0,0,0,1.554200," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}{b^{3} d x^{4} + a^{3} c + {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{3} + 3 \, {\left(a b^{2} c + a^{2} b d\right)} x^{2} + {\left(3 \, a^{2} b c + a^{3} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/6)/(b^3*d*x^4 + a^3*c + (b^3*c + 3*a*b^2*d)*x^3 + 3*(a*b^2*c + a^2*b*d)*x^2 + (3*a^2*b*c + a^3*d)*x), x)","F",0
1754,0,0,0,1.267503," ","integrate((b*x+a)^(5/2)/(d*x+c)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{5}{6}}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2)*sqrt(b*x + a)/(d*x + c)^(5/6), x)","F",0
1755,0,0,0,1.147229," ","integrate((b*x+a)^(3/2)/(d*x+c)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{5}{6}}}, x\right)"," ",0,"integral((b*x + a)^(3/2)/(d*x + c)^(5/6), x)","F",0
1756,0,0,0,0.945092," ","integrate((b*x+a)^(1/2)/(d*x+c)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{5}{6}}}, x\right)"," ",0,"integral(sqrt(b*x + a)/(d*x + c)^(5/6), x)","F",0
1757,0,0,0,0.999242," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{6}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/6)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1758,0,0,0,1.359216," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{6}}}{b^{2} d x^{3} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2} + {\left(2 \, a b c + a^{2} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/6)/(b^2*d*x^3 + a^2*c + (b^2*c + 2*a*b*d)*x^2 + (2*a*b*c + a^2*d)*x), x)","F",0
1759,0,0,0,1.201607," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{6}}}{b^{3} d x^{4} + a^{3} c + {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{3} + 3 \, {\left(a b^{2} c + a^{2} b d\right)} x^{2} + {\left(3 \, a^{2} b c + a^{3} d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(1/6)/(b^3*d*x^4 + a^3*c + (b^3*c + 3*a*b^2*d)*x^3 + 3*(a*b^2*c + a^2*b*d)*x^2 + (3*a^2*b*c + a^3*d)*x), x)","F",0
1760,0,0,0,1.457828," ","integrate((b*x+a)^(5/2)/(d*x+c)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2)*sqrt(b*x + a)*(d*x + c)^(5/6)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1761,0,0,0,1.451363," ","integrate((b*x+a)^(3/2)/(d*x+c)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{5}{6}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b*x + a)^(3/2)*(d*x + c)^(5/6)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1762,0,0,0,1.496957," ","integrate((b*x+a)^(1/2)/(d*x+c)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/6)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1763,0,0,0,1.091654," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}{b d^{2} x^{3} + a c^{2} + {\left(2 \, b c d + a d^{2}\right)} x^{2} + {\left(b c^{2} + 2 \, a c d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/6)/(b*d^2*x^3 + a*c^2 + (2*b*c*d + a*d^2)*x^2 + (b*c^2 + 2*a*c*d)*x), x)","F",0
1764,0,0,0,1.494778," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}{b^{2} d^{2} x^{4} + a^{2} c^{2} + 2 \, {\left(b^{2} c d + a b d^{2}\right)} x^{3} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b c^{2} + a^{2} c d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/6)/(b^2*d^2*x^4 + a^2*c^2 + 2*(b^2*c*d + a*b*d^2)*x^3 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*x^2 + 2*(a*b*c^2 + a^2*c*d)*x), x)","F",0
1765,0,0,0,1.348186," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}{b^{3} d^{2} x^{5} + a^{3} c^{2} + {\left(2 \, b^{3} c d + 3 \, a b^{2} d^{2}\right)} x^{4} + {\left(b^{3} c^{2} + 6 \, a b^{2} c d + 3 \, a^{2} b d^{2}\right)} x^{3} + {\left(3 \, a b^{2} c^{2} + 6 \, a^{2} b c d + a^{3} d^{2}\right)} x^{2} + {\left(3 \, a^{2} b c^{2} + 2 \, a^{3} c d\right)} x}, x\right)"," ",0,"integral(sqrt(b*x + a)*(d*x + c)^(5/6)/(b^3*d^2*x^5 + a^3*c^2 + (2*b^3*c*d + 3*a*b^2*d^2)*x^4 + (b^3*c^2 + 6*a*b^2*c*d + 3*a^2*b*d^2)*x^3 + (3*a*b^2*c^2 + 6*a^2*b*c*d + a^3*d^2)*x^2 + (3*a^2*b*c^2 + 2*a^3*c*d)*x), x)","F",0
1766,0,0,0,1.159664," ","integrate((b*x+a)^(1/6)*(d*x+c)^(13/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{1}{6}}, x\right)"," ",0,"integral((d^2*x^2 + 2*c*d*x + c^2)*(b*x + a)^(1/6)*(d*x + c)^(1/6), x)","F",0
1767,0,0,0,0.804276," ","integrate((b*x+a)^(1/6)*(d*x+c)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{7}{6}}, x\right)"," ",0,"integral((b*x + a)^(1/6)*(d*x + c)^(7/6), x)","F",0
1768,0,0,0,1.139082," ","integrate((b*x+a)^(1/6)*(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{1}{6}}, x\right)"," ",0,"integral((b*x + a)^(1/6)*(d*x + c)^(1/6), x)","F",0
1769,0,0,0,1.050957," ","integrate((b*x+a)^(1/6)/(d*x+c)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{5}{6}}}, x\right)"," ",0,"integral((b*x + a)^(1/6)/(d*x + c)^(5/6), x)","F",0
1770,0,0,0,0.965806," ","integrate((b*x+a)^(1/6)/(d*x+c)^(11/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b*x + a)^(1/6)*(d*x + c)^(1/6)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1771,0,0,0,1.127367," ","integrate((b*x+a)^(1/6)/(d*x+c)^(17/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}, x\right)"," ",0,"integral((b*x + a)^(1/6)*(d*x + c)^(1/6)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
1772,1,5633,0,1.536717," ","integrate((b*x+a)^(1/6)*(d*x+c)^(5/6),x, algorithm=""fricas"")","\frac{20 \, \sqrt{3} b d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b^{11} c^{2} d^{6} - 2 \, a b^{10} c d^{7} + a^{2} b^{9} d^{8}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{9} d^{7} x + b^{9} c d^{6}\right)} \sqrt{\frac{{\left(b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{6}} + {\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(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(b^{4} d^{3} x + b^{4} c d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(b^{12} c^{13} - 12 \, a b^{11} c^{12} d + 66 \, a^{2} b^{10} c^{11} d^{2} - 220 \, a^{3} b^{9} c^{10} d^{3} + 495 \, a^{4} b^{8} c^{9} d^{4} - 792 \, a^{5} b^{7} c^{8} d^{5} + 924 \, a^{6} b^{6} c^{7} d^{6} - 792 \, a^{7} b^{5} c^{6} d^{7} + 495 \, a^{8} b^{4} c^{5} d^{8} - 220 \, a^{9} b^{3} c^{4} d^{9} + 66 \, a^{10} b^{2} c^{3} d^{10} - 12 \, a^{11} b c^{2} d^{11} + a^{12} c d^{12} + {\left(b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}\right)} x\right)}}{3 \, {\left(b^{12} c^{13} - 12 \, a b^{11} c^{12} d + 66 \, a^{2} b^{10} c^{11} d^{2} - 220 \, a^{3} b^{9} c^{10} d^{3} + 495 \, a^{4} b^{8} c^{9} d^{4} - 792 \, a^{5} b^{7} c^{8} d^{5} + 924 \, a^{6} b^{6} c^{7} d^{6} - 792 \, a^{7} b^{5} c^{6} d^{7} + 495 \, a^{8} b^{4} c^{5} d^{8} - 220 \, a^{9} b^{3} c^{4} d^{9} + 66 \, a^{10} b^{2} c^{3} d^{10} - 12 \, a^{11} b c^{2} d^{11} + a^{12} c d^{12} + {\left(b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}\right)} x\right)}}\right) + 20 \, \sqrt{3} b d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b^{11} c^{2} d^{6} - 2 \, a b^{10} c d^{7} + a^{2} b^{9} d^{8}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{9} d^{7} x + b^{9} c d^{6}\right)} \sqrt{-\frac{{\left(b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{6}} - {\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(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{4} d^{3} x + b^{4} c d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(b^{12} c^{13} - 12 \, a b^{11} c^{12} d + 66 \, a^{2} b^{10} c^{11} d^{2} - 220 \, a^{3} b^{9} c^{10} d^{3} + 495 \, a^{4} b^{8} c^{9} d^{4} - 792 \, a^{5} b^{7} c^{8} d^{5} + 924 \, a^{6} b^{6} c^{7} d^{6} - 792 \, a^{7} b^{5} c^{6} d^{7} + 495 \, a^{8} b^{4} c^{5} d^{8} - 220 \, a^{9} b^{3} c^{4} d^{9} + 66 \, a^{10} b^{2} c^{3} d^{10} - 12 \, a^{11} b c^{2} d^{11} + a^{12} c d^{12} + {\left(b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}\right)} x\right)}}{3 \, {\left(b^{12} c^{13} - 12 \, a b^{11} c^{12} d + 66 \, a^{2} b^{10} c^{11} d^{2} - 220 \, a^{3} b^{9} c^{10} d^{3} + 495 \, a^{4} b^{8} c^{9} d^{4} - 792 \, a^{5} b^{7} c^{8} d^{5} + 924 \, a^{6} b^{6} c^{7} d^{6} - 792 \, a^{7} b^{5} c^{6} d^{7} + 495 \, a^{8} b^{4} c^{5} d^{8} - 220 \, a^{9} b^{3} c^{4} d^{9} + 66 \, a^{10} b^{2} c^{3} d^{10} - 12 \, a^{11} b c^{2} d^{11} + a^{12} c d^{12} + {\left(b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}\right)} x\right)}}\right) - 5 \, b d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{6}} \log\left(\frac{25 \, {\left({\left(b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{6}} + {\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(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(b^{4} d^{3} x + b^{4} c d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{3}}\right)}}{d x + c}\right) + 5 \, b d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{6}} \log\left(-\frac{25 \, {\left({\left(b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{6}} - {\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(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{4} d^{3} x + b^{4} c d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{3}}\right)}}{d x + c}\right) - 10 \, b d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{6}} \log\left(\frac{5 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} + {\left(b^{2} d^{2} x + b^{2} c d\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{6}}\right)}}{d x + c}\right) + 10 \, b d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{6}} \log\left(\frac{5 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} - {\left(b^{2} d^{2} x + b^{2} c d\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{11} d^{7}}\right)^{\frac{1}{6}}\right)}}{d x + c}\right) + 12 \, {\left(6 \, b d x + 5 \, b c + a d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{144 \, b d}"," ",0,"1/144*(20*sqrt(3)*b*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b^11*c^2*d^6 - 2*a*b^10*c*d^7 + a^2*b^9*d^8)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(5/6) - 2*sqrt(3)*(b^9*d^7*x + b^9*c*d^6)*sqrt(((b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/6) + (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)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (b^4*d^3*x + b^4*c*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/3))/(d*x + c))*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(5/6) + sqrt(3)*(b^12*c^13 - 12*a*b^11*c^12*d + 66*a^2*b^10*c^11*d^2 - 220*a^3*b^9*c^10*d^3 + 495*a^4*b^8*c^9*d^4 - 792*a^5*b^7*c^8*d^5 + 924*a^6*b^6*c^7*d^6 - 792*a^7*b^5*c^6*d^7 + 495*a^8*b^4*c^5*d^8 - 220*a^9*b^3*c^4*d^9 + 66*a^10*b^2*c^3*d^10 - 12*a^11*b*c^2*d^11 + a^12*c*d^12 + (b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)*x))/(b^12*c^13 - 12*a*b^11*c^12*d + 66*a^2*b^10*c^11*d^2 - 220*a^3*b^9*c^10*d^3 + 495*a^4*b^8*c^9*d^4 - 792*a^5*b^7*c^8*d^5 + 924*a^6*b^6*c^7*d^6 - 792*a^7*b^5*c^6*d^7 + 495*a^8*b^4*c^5*d^8 - 220*a^9*b^3*c^4*d^9 + 66*a^10*b^2*c^3*d^10 - 12*a^11*b*c^2*d^11 + a^12*c*d^12 + (b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)*x)) + 20*sqrt(3)*b*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b^11*c^2*d^6 - 2*a*b^10*c*d^7 + a^2*b^9*d^8)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(5/6) - 2*sqrt(3)*(b^9*d^7*x + b^9*c*d^6)*sqrt(-((b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/6) - (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)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (b^4*d^3*x + b^4*c*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/3))/(d*x + c))*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(5/6) - sqrt(3)*(b^12*c^13 - 12*a*b^11*c^12*d + 66*a^2*b^10*c^11*d^2 - 220*a^3*b^9*c^10*d^3 + 495*a^4*b^8*c^9*d^4 - 792*a^5*b^7*c^8*d^5 + 924*a^6*b^6*c^7*d^6 - 792*a^7*b^5*c^6*d^7 + 495*a^8*b^4*c^5*d^8 - 220*a^9*b^3*c^4*d^9 + 66*a^10*b^2*c^3*d^10 - 12*a^11*b*c^2*d^11 + a^12*c*d^12 + (b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)*x))/(b^12*c^13 - 12*a*b^11*c^12*d + 66*a^2*b^10*c^11*d^2 - 220*a^3*b^9*c^10*d^3 + 495*a^4*b^8*c^9*d^4 - 792*a^5*b^7*c^8*d^5 + 924*a^6*b^6*c^7*d^6 - 792*a^7*b^5*c^6*d^7 + 495*a^8*b^4*c^5*d^8 - 220*a^9*b^3*c^4*d^9 + 66*a^10*b^2*c^3*d^10 - 12*a^11*b*c^2*d^11 + a^12*c*d^12 + (b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)*x)) - 5*b*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/6)*log(25*((b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/6) + (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)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (b^4*d^3*x + b^4*c*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/3))/(d*x + c)) + 5*b*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/6)*log(-25*((b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/6) - (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)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (b^4*d^3*x + b^4*c*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/3))/(d*x + c)) - 10*b*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/6)*log(5*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6) + (b^2*d^2*x + b^2*c*d)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/6))/(d*x + c)) + 10*b*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/6)*log(5*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6) - (b^2*d^2*x + b^2*c*d)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^11*d^7))^(1/6))/(d*x + c)) + 12*(6*b*d*x + 5*b*c + a*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6))/(b*d)","B",0
1773,1,3025,0,1.394933," ","integrate((b*x+a)^(1/6)/(d*x+c)^(1/6),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} d \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{5} c d^{6} - a b^{4} d^{7}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{5}{6}} + 2 \, \sqrt{3} {\left(b^{4} d^{7} x + b^{4} c d^{6}\right)} \sqrt{\frac{{\left(b^{2} c d - a b d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{6}} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(b^{2} d^{3} x + b^{2} c d^{2}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(b^{6} c^{7} - 6 \, a b^{5} c^{6} d + 15 \, a^{2} b^{4} c^{5} d^{2} - 20 \, a^{3} b^{3} c^{4} d^{3} + 15 \, a^{4} b^{2} c^{3} d^{4} - 6 \, a^{5} b c^{2} d^{5} + a^{6} c d^{6} + {\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)} x\right)}}{3 \, {\left(b^{6} c^{7} - 6 \, a b^{5} c^{6} d + 15 \, a^{2} b^{4} c^{5} d^{2} - 20 \, a^{3} b^{3} c^{4} d^{3} + 15 \, a^{4} b^{2} c^{3} d^{4} - 6 \, a^{5} b c^{2} d^{5} + a^{6} c d^{6} + {\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)} x\right)}}\right) + 4 \, \sqrt{3} d \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{5} c d^{6} - a b^{4} d^{7}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{5}{6}} + 2 \, \sqrt{3} {\left(b^{4} d^{7} x + b^{4} c d^{6}\right)} \sqrt{-\frac{{\left(b^{2} c d - a b d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{6}} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{2} d^{3} x + b^{2} c d^{2}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(b^{6} c^{7} - 6 \, a b^{5} c^{6} d + 15 \, a^{2} b^{4} c^{5} d^{2} - 20 \, a^{3} b^{3} c^{4} d^{3} + 15 \, a^{4} b^{2} c^{3} d^{4} - 6 \, a^{5} b c^{2} d^{5} + a^{6} c d^{6} + {\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)} x\right)}}{3 \, {\left(b^{6} c^{7} - 6 \, a b^{5} c^{6} d + 15 \, a^{2} b^{4} c^{5} d^{2} - 20 \, a^{3} b^{3} c^{4} d^{3} + 15 \, a^{4} b^{2} c^{3} d^{4} - 6 \, a^{5} b c^{2} d^{5} + a^{6} c d^{6} + {\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)} x\right)}}\right) + d \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{6}} \log\left(\frac{{\left(b^{2} c d - a b d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{6}} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(b^{2} d^{3} x + b^{2} c d^{2}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{3}}}{d x + c}\right) - d \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left(b^{2} c d - a b d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{6}} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{2} d^{3} x + b^{2} c d^{2}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{3}}}{d x + c}\right) + 2 \, d \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} + {\left(b d^{2} x + b c d\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{6}}}{d x + c}\right) - 2 \, d \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} - {\left(b d^{2} x + b c d\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{5} d^{7}}\right)^{\frac{1}{6}}}{d x + c}\right) - 12 \, {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{12 \, d}"," ",0,"-1/12*(4*sqrt(3)*d*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/6)*arctan(1/3*(2*sqrt(3)*(b^5*c*d^6 - a*b^4*d^7)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(5/6) + 2*sqrt(3)*(b^4*d^7*x + b^4*c*d^6)*sqrt(((b^2*c*d - a*b*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/6) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (b^2*d^3*x + b^2*c*d^2)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/3))/(d*x + c))*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(5/6) + sqrt(3)*(b^6*c^7 - 6*a*b^5*c^6*d + 15*a^2*b^4*c^5*d^2 - 20*a^3*b^3*c^4*d^3 + 15*a^4*b^2*c^3*d^4 - 6*a^5*b*c^2*d^5 + a^6*c*d^6 + (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)*x))/(b^6*c^7 - 6*a*b^5*c^6*d + 15*a^2*b^4*c^5*d^2 - 20*a^3*b^3*c^4*d^3 + 15*a^4*b^2*c^3*d^4 - 6*a^5*b*c^2*d^5 + a^6*c*d^6 + (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)*x)) + 4*sqrt(3)*d*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/6)*arctan(1/3*(2*sqrt(3)*(b^5*c*d^6 - a*b^4*d^7)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(5/6) + 2*sqrt(3)*(b^4*d^7*x + b^4*c*d^6)*sqrt(-((b^2*c*d - a*b*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/6) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (b^2*d^3*x + b^2*c*d^2)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/3))/(d*x + c))*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(5/6) - sqrt(3)*(b^6*c^7 - 6*a*b^5*c^6*d + 15*a^2*b^4*c^5*d^2 - 20*a^3*b^3*c^4*d^3 + 15*a^4*b^2*c^3*d^4 - 6*a^5*b*c^2*d^5 + a^6*c*d^6 + (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)*x))/(b^6*c^7 - 6*a*b^5*c^6*d + 15*a^2*b^4*c^5*d^2 - 20*a^3*b^3*c^4*d^3 + 15*a^4*b^2*c^3*d^4 - 6*a^5*b*c^2*d^5 + a^6*c*d^6 + (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)*x)) + d*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/6)*log(((b^2*c*d - a*b*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/6) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (b^2*d^3*x + b^2*c*d^2)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/3))/(d*x + c)) - d*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/6)*log(-((b^2*c*d - a*b*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/6) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (b^2*d^3*x + b^2*c*d^2)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/3))/(d*x + c)) + 2*d*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/6)*log(-((b*c - a*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6) + (b*d^2*x + b*c*d)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/6))/(d*x + c)) - 2*d*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/6)*log(-((b*c - a*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6) - (b*d^2*x + b*c*d)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^5*d^7))^(1/6))/(d*x + c)) - 12*(b*x + a)^(1/6)*(d*x + c)^(5/6))/d","B",0
1774,1,663,0,1.001975," ","integrate((b*x+a)^(1/6)/(d*x+c)^(7/6),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} {\left(d^{2} x + c d\right)} \left(\frac{b}{d^{7}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} d^{6} \left(\frac{b}{d^{7}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(d^{7} x + c d^{6}\right)} \sqrt{\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} d \left(\frac{b}{d^{7}}\right)^{\frac{1}{6}} + {\left(d^{3} x + c d^{2}\right)} \left(\frac{b}{d^{7}}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{d x + c}} \left(\frac{b}{d^{7}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(b d x + b c\right)}}{3 \, {\left(b d x + b c\right)}}\right) + 4 \, \sqrt{3} {\left(d^{2} x + c d\right)} \left(\frac{b}{d^{7}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} d^{6} \left(\frac{b}{d^{7}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(d^{7} x + c d^{6}\right)} \sqrt{-\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} d \left(\frac{b}{d^{7}}\right)^{\frac{1}{6}} - {\left(d^{3} x + c d^{2}\right)} \left(\frac{b}{d^{7}}\right)^{\frac{1}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{d x + c}} \left(\frac{b}{d^{7}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(b d x + b c\right)}}{3 \, {\left(b d x + b c\right)}}\right) - {\left(d^{2} x + c d\right)} \left(\frac{b}{d^{7}}\right)^{\frac{1}{6}} \log\left(\frac{4 \, {\left({\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} d \left(\frac{b}{d^{7}}\right)^{\frac{1}{6}} + {\left(d^{3} x + c d^{2}\right)} \left(\frac{b}{d^{7}}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}\right)}}{d x + c}\right) + {\left(d^{2} x + c d\right)} \left(\frac{b}{d^{7}}\right)^{\frac{1}{6}} \log\left(-\frac{4 \, {\left({\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} d \left(\frac{b}{d^{7}}\right)^{\frac{1}{6}} - {\left(d^{3} x + c d^{2}\right)} \left(\frac{b}{d^{7}}\right)^{\frac{1}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}\right)}}{d x + c}\right) - 2 \, {\left(d^{2} x + c d\right)} \left(\frac{b}{d^{7}}\right)^{\frac{1}{6}} \log\left(\frac{{\left(d^{2} x + c d\right)} \left(\frac{b}{d^{7}}\right)^{\frac{1}{6}} + {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{d x + c}\right) + 2 \, {\left(d^{2} x + c d\right)} \left(\frac{b}{d^{7}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left(d^{2} x + c d\right)} \left(\frac{b}{d^{7}}\right)^{\frac{1}{6}} - {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{d x + c}\right) + 12 \, {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{2 \, {\left(d^{2} x + c d\right)}}"," ",0,"-1/2*(4*sqrt(3)*(d^2*x + c*d)*(b/d^7)^(1/6)*arctan(-1/3*(2*sqrt(3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*d^6*(b/d^7)^(5/6) - 2*sqrt(3)*(d^7*x + c*d^6)*sqrt(((b*x + a)^(1/6)*(d*x + c)^(5/6)*d*(b/d^7)^(1/6) + (d^3*x + c*d^2)*(b/d^7)^(1/3) + (b*x + a)^(1/3)*(d*x + c)^(2/3))/(d*x + c))*(b/d^7)^(5/6) + sqrt(3)*(b*d*x + b*c))/(b*d*x + b*c)) + 4*sqrt(3)*(d^2*x + c*d)*(b/d^7)^(1/6)*arctan(-1/3*(2*sqrt(3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*d^6*(b/d^7)^(5/6) - 2*sqrt(3)*(d^7*x + c*d^6)*sqrt(-((b*x + a)^(1/6)*(d*x + c)^(5/6)*d*(b/d^7)^(1/6) - (d^3*x + c*d^2)*(b/d^7)^(1/3) - (b*x + a)^(1/3)*(d*x + c)^(2/3))/(d*x + c))*(b/d^7)^(5/6) - sqrt(3)*(b*d*x + b*c))/(b*d*x + b*c)) - (d^2*x + c*d)*(b/d^7)^(1/6)*log(4*((b*x + a)^(1/6)*(d*x + c)^(5/6)*d*(b/d^7)^(1/6) + (d^3*x + c*d^2)*(b/d^7)^(1/3) + (b*x + a)^(1/3)*(d*x + c)^(2/3))/(d*x + c)) + (d^2*x + c*d)*(b/d^7)^(1/6)*log(-4*((b*x + a)^(1/6)*(d*x + c)^(5/6)*d*(b/d^7)^(1/6) - (d^3*x + c*d^2)*(b/d^7)^(1/3) - (b*x + a)^(1/3)*(d*x + c)^(2/3))/(d*x + c)) - 2*(d^2*x + c*d)*(b/d^7)^(1/6)*log(((d^2*x + c*d)*(b/d^7)^(1/6) + (b*x + a)^(1/6)*(d*x + c)^(5/6))/(d*x + c)) + 2*(d^2*x + c*d)*(b/d^7)^(1/6)*log(-((d^2*x + c*d)*(b/d^7)^(1/6) - (b*x + a)^(1/6)*(d*x + c)^(5/6))/(d*x + c)) + 12*(b*x + a)^(1/6)*(d*x + c)^(5/6))/(d^2*x + c*d)","B",0
1775,1,65,0,1.169439," ","integrate((b*x+a)^(1/6)/(d*x+c)^(13/6),x, algorithm=""fricas"")","\frac{6 \, {\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{7 \, {\left(b c^{3} - a c^{2} d + {\left(b c d^{2} - a d^{3}\right)} x^{2} + 2 \, {\left(b c^{2} d - a c d^{2}\right)} x\right)}}"," ",0,"6/7*(b*x + a)^(7/6)*(d*x + c)^(5/6)/(b*c^3 - a*c^2*d + (b*c*d^2 - a*d^3)*x^2 + 2*(b*c^2*d - a*c*d^2)*x)","B",0
1776,1,175,0,0.930185," ","integrate((b*x+a)^(1/6)/(d*x+c)^(19/6),x, algorithm=""fricas"")","\frac{6 \, {\left(6 \, b^{2} d x^{2} + 13 \, a b c - 7 \, a^{2} d + {\left(13 \, b^{2} c - a b d\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{91 \, {\left(b^{2} c^{5} - 2 \, a b c^{4} d + a^{2} c^{3} d^{2} + {\left(b^{2} c^{2} d^{3} - 2 \, a b c d^{4} + a^{2} d^{5}\right)} x^{3} + 3 \, {\left(b^{2} c^{3} d^{2} - 2 \, a b c^{2} d^{3} + a^{2} c d^{4}\right)} x^{2} + 3 \, {\left(b^{2} c^{4} d - 2 \, a b c^{3} d^{2} + a^{2} c^{2} d^{3}\right)} x\right)}}"," ",0,"6/91*(6*b^2*d*x^2 + 13*a*b*c - 7*a^2*d + (13*b^2*c - a*b*d)*x)*(b*x + a)^(1/6)*(d*x + c)^(5/6)/(b^2*c^5 - 2*a*b*c^4*d + a^2*c^3*d^2 + (b^2*c^2*d^3 - 2*a*b*c*d^4 + a^2*d^5)*x^3 + 3*(b^2*c^3*d^2 - 2*a*b*c^2*d^3 + a^2*c*d^4)*x^2 + 3*(b^2*c^4*d - 2*a*b*c^3*d^2 + a^2*c^2*d^3)*x)","B",0
1777,1,338,0,0.753193," ","integrate((b*x+a)^(1/6)/(d*x+c)^(25/6),x, algorithm=""fricas"")","\frac{6 \, {\left(72 \, b^{3} d^{2} x^{3} + 247 \, a b^{2} c^{2} - 266 \, a^{2} b c d + 91 \, a^{3} d^{2} + 12 \, {\left(19 \, b^{3} c d - a b^{2} d^{2}\right)} x^{2} + {\left(247 \, b^{3} c^{2} - 38 \, a b^{2} c d + 7 \, a^{2} b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{1729 \, {\left(b^{3} c^{7} - 3 \, a b^{2} c^{6} d + 3 \, a^{2} b c^{5} d^{2} - a^{3} c^{4} d^{3} + {\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)} x^{4} + 4 \, {\left(b^{3} c^{4} d^{3} - 3 \, a b^{2} c^{3} d^{4} + 3 \, a^{2} b c^{2} d^{5} - a^{3} c d^{6}\right)} x^{3} + 6 \, {\left(b^{3} c^{5} d^{2} - 3 \, a b^{2} c^{4} d^{3} + 3 \, a^{2} b c^{3} d^{4} - a^{3} c^{2} d^{5}\right)} x^{2} + 4 \, {\left(b^{3} c^{6} d - 3 \, a b^{2} c^{5} d^{2} + 3 \, a^{2} b c^{4} d^{3} - a^{3} c^{3} d^{4}\right)} x\right)}}"," ",0,"6/1729*(72*b^3*d^2*x^3 + 247*a*b^2*c^2 - 266*a^2*b*c*d + 91*a^3*d^2 + 12*(19*b^3*c*d - a*b^2*d^2)*x^2 + (247*b^3*c^2 - 38*a*b^2*c*d + 7*a^2*b*d^2)*x)*(b*x + a)^(1/6)*(d*x + c)^(5/6)/(b^3*c^7 - 3*a*b^2*c^6*d + 3*a^2*b*c^5*d^2 - a^3*c^4*d^3 + (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)*x^4 + 4*(b^3*c^4*d^3 - 3*a*b^2*c^3*d^4 + 3*a^2*b*c^2*d^5 - a^3*c*d^6)*x^3 + 6*(b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 3*a^2*b*c^3*d^4 - a^3*c^2*d^5)*x^2 + 4*(b^3*c^6*d - 3*a*b^2*c^5*d^2 + 3*a^2*b*c^4*d^3 - a^3*c^3*d^4)*x)","B",0
1778,1,533,0,1.104594," ","integrate((b*x+a)^(1/6)/(d*x+c)^(31/6),x, algorithm=""fricas"")","\frac{6 \, {\left(1296 \, b^{4} d^{3} x^{4} + 6175 \, a b^{3} c^{3} - 9975 \, a^{2} b^{2} c^{2} d + 6825 \, a^{3} b c d^{2} - 1729 \, a^{4} d^{3} + 216 \, {\left(25 \, b^{4} c d^{2} - a b^{3} d^{3}\right)} x^{3} + 18 \, {\left(475 \, b^{4} c^{2} d - 50 \, a b^{3} c d^{2} + 7 \, a^{2} b^{2} d^{3}\right)} x^{2} + {\left(6175 \, b^{4} c^{3} - 1425 \, a b^{3} c^{2} d + 525 \, a^{2} b^{2} c d^{2} - 91 \, a^{3} b d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{43225 \, {\left(b^{4} c^{9} - 4 \, a b^{3} c^{8} d + 6 \, a^{2} b^{2} c^{7} d^{2} - 4 \, a^{3} b c^{6} d^{3} + a^{4} c^{5} d^{4} + {\left(b^{4} c^{4} d^{5} - 4 \, a b^{3} c^{3} d^{6} + 6 \, a^{2} b^{2} c^{2} d^{7} - 4 \, a^{3} b c d^{8} + a^{4} d^{9}\right)} x^{5} + 5 \, {\left(b^{4} c^{5} d^{4} - 4 \, a b^{3} c^{4} d^{5} + 6 \, a^{2} b^{2} c^{3} d^{6} - 4 \, a^{3} b c^{2} d^{7} + a^{4} c d^{8}\right)} x^{4} + 10 \, {\left(b^{4} c^{6} d^{3} - 4 \, a b^{3} c^{5} d^{4} + 6 \, a^{2} b^{2} c^{4} d^{5} - 4 \, a^{3} b c^{3} d^{6} + a^{4} c^{2} d^{7}\right)} x^{3} + 10 \, {\left(b^{4} c^{7} d^{2} - 4 \, a b^{3} c^{6} d^{3} + 6 \, a^{2} b^{2} c^{5} d^{4} - 4 \, a^{3} b c^{4} d^{5} + a^{4} c^{3} d^{6}\right)} x^{2} + 5 \, {\left(b^{4} c^{8} d - 4 \, a b^{3} c^{7} d^{2} + 6 \, a^{2} b^{2} c^{6} d^{3} - 4 \, a^{3} b c^{5} d^{4} + a^{4} c^{4} d^{5}\right)} x\right)}}"," ",0,"6/43225*(1296*b^4*d^3*x^4 + 6175*a*b^3*c^3 - 9975*a^2*b^2*c^2*d + 6825*a^3*b*c*d^2 - 1729*a^4*d^3 + 216*(25*b^4*c*d^2 - a*b^3*d^3)*x^3 + 18*(475*b^4*c^2*d - 50*a*b^3*c*d^2 + 7*a^2*b^2*d^3)*x^2 + (6175*b^4*c^3 - 1425*a*b^3*c^2*d + 525*a^2*b^2*c*d^2 - 91*a^3*b*d^3)*x)*(b*x + a)^(1/6)*(d*x + c)^(5/6)/(b^4*c^9 - 4*a*b^3*c^8*d + 6*a^2*b^2*c^7*d^2 - 4*a^3*b*c^6*d^3 + a^4*c^5*d^4 + (b^4*c^4*d^5 - 4*a*b^3*c^3*d^6 + 6*a^2*b^2*c^2*d^7 - 4*a^3*b*c*d^8 + a^4*d^9)*x^5 + 5*(b^4*c^5*d^4 - 4*a*b^3*c^4*d^5 + 6*a^2*b^2*c^3*d^6 - 4*a^3*b*c^2*d^7 + a^4*c*d^8)*x^4 + 10*(b^4*c^6*d^3 - 4*a*b^3*c^5*d^4 + 6*a^2*b^2*c^4*d^5 - 4*a^3*b*c^3*d^6 + a^4*c^2*d^7)*x^3 + 10*(b^4*c^7*d^2 - 4*a*b^3*c^6*d^3 + 6*a^2*b^2*c^5*d^4 - 4*a^3*b*c^4*d^5 + a^4*c^3*d^6)*x^2 + 5*(b^4*c^8*d - 4*a*b^3*c^7*d^2 + 6*a^2*b^2*c^6*d^3 - 4*a^3*b*c^5*d^4 + a^4*c^4*d^5)*x)","B",0
1779,1,5633,0,1.470554," ","integrate((b*x+a)^(5/6)*(d*x+c)^(1/6),x, algorithm=""fricas"")","\frac{20 \, \sqrt{3} b d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b^{8} c^{2} d^{9} - 2 \, a b^{7} c d^{10} + a^{2} b^{6} d^{11}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{7} d^{9} x + a b^{6} d^{9}\right)} \sqrt{\frac{{\left(b^{3} c^{2} d^{2} - 2 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{6}} + {\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(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b^{3} d^{4} x + a b^{2} d^{4}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(a b^{12} c^{12} - 12 \, a^{2} b^{11} c^{11} d + 66 \, a^{3} b^{10} c^{10} d^{2} - 220 \, a^{4} b^{9} c^{9} d^{3} + 495 \, a^{5} b^{8} c^{8} d^{4} - 792 \, a^{6} b^{7} c^{7} d^{5} + 924 \, a^{7} b^{6} c^{6} d^{6} - 792 \, a^{8} b^{5} c^{5} d^{7} + 495 \, a^{9} b^{4} c^{4} d^{8} - 220 \, a^{10} b^{3} c^{3} d^{9} + 66 \, a^{11} b^{2} c^{2} d^{10} - 12 \, a^{12} b c d^{11} + a^{13} d^{12} + {\left(b^{13} c^{12} - 12 \, a b^{12} c^{11} d + 66 \, a^{2} b^{11} c^{10} d^{2} - 220 \, a^{3} b^{10} c^{9} d^{3} + 495 \, a^{4} b^{9} c^{8} d^{4} - 792 \, a^{5} b^{8} c^{7} d^{5} + 924 \, a^{6} b^{7} c^{6} d^{6} - 792 \, a^{7} b^{6} c^{5} d^{7} + 495 \, a^{8} b^{5} c^{4} d^{8} - 220 \, a^{9} b^{4} c^{3} d^{9} + 66 \, a^{10} b^{3} c^{2} d^{10} - 12 \, a^{11} b^{2} c d^{11} + a^{12} b d^{12}\right)} x\right)}}{3 \, {\left(a b^{12} c^{12} - 12 \, a^{2} b^{11} c^{11} d + 66 \, a^{3} b^{10} c^{10} d^{2} - 220 \, a^{4} b^{9} c^{9} d^{3} + 495 \, a^{5} b^{8} c^{8} d^{4} - 792 \, a^{6} b^{7} c^{7} d^{5} + 924 \, a^{7} b^{6} c^{6} d^{6} - 792 \, a^{8} b^{5} c^{5} d^{7} + 495 \, a^{9} b^{4} c^{4} d^{8} - 220 \, a^{10} b^{3} c^{3} d^{9} + 66 \, a^{11} b^{2} c^{2} d^{10} - 12 \, a^{12} b c d^{11} + a^{13} d^{12} + {\left(b^{13} c^{12} - 12 \, a b^{12} c^{11} d + 66 \, a^{2} b^{11} c^{10} d^{2} - 220 \, a^{3} b^{10} c^{9} d^{3} + 495 \, a^{4} b^{9} c^{8} d^{4} - 792 \, a^{5} b^{8} c^{7} d^{5} + 924 \, a^{6} b^{7} c^{6} d^{6} - 792 \, a^{7} b^{6} c^{5} d^{7} + 495 \, a^{8} b^{5} c^{4} d^{8} - 220 \, a^{9} b^{4} c^{3} d^{9} + 66 \, a^{10} b^{3} c^{2} d^{10} - 12 \, a^{11} b^{2} c d^{11} + a^{12} b d^{12}\right)} x\right)}}\right) + 20 \, \sqrt{3} b d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b^{8} c^{2} d^{9} - 2 \, a b^{7} c d^{10} + a^{2} b^{6} d^{11}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{7} d^{9} x + a b^{6} d^{9}\right)} \sqrt{-\frac{{\left(b^{3} c^{2} d^{2} - 2 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{6}} - {\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(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - {\left(b^{3} d^{4} x + a b^{2} d^{4}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(a b^{12} c^{12} - 12 \, a^{2} b^{11} c^{11} d + 66 \, a^{3} b^{10} c^{10} d^{2} - 220 \, a^{4} b^{9} c^{9} d^{3} + 495 \, a^{5} b^{8} c^{8} d^{4} - 792 \, a^{6} b^{7} c^{7} d^{5} + 924 \, a^{7} b^{6} c^{6} d^{6} - 792 \, a^{8} b^{5} c^{5} d^{7} + 495 \, a^{9} b^{4} c^{4} d^{8} - 220 \, a^{10} b^{3} c^{3} d^{9} + 66 \, a^{11} b^{2} c^{2} d^{10} - 12 \, a^{12} b c d^{11} + a^{13} d^{12} + {\left(b^{13} c^{12} - 12 \, a b^{12} c^{11} d + 66 \, a^{2} b^{11} c^{10} d^{2} - 220 \, a^{3} b^{10} c^{9} d^{3} + 495 \, a^{4} b^{9} c^{8} d^{4} - 792 \, a^{5} b^{8} c^{7} d^{5} + 924 \, a^{6} b^{7} c^{6} d^{6} - 792 \, a^{7} b^{6} c^{5} d^{7} + 495 \, a^{8} b^{5} c^{4} d^{8} - 220 \, a^{9} b^{4} c^{3} d^{9} + 66 \, a^{10} b^{3} c^{2} d^{10} - 12 \, a^{11} b^{2} c d^{11} + a^{12} b d^{12}\right)} x\right)}}{3 \, {\left(a b^{12} c^{12} - 12 \, a^{2} b^{11} c^{11} d + 66 \, a^{3} b^{10} c^{10} d^{2} - 220 \, a^{4} b^{9} c^{9} d^{3} + 495 \, a^{5} b^{8} c^{8} d^{4} - 792 \, a^{6} b^{7} c^{7} d^{5} + 924 \, a^{7} b^{6} c^{6} d^{6} - 792 \, a^{8} b^{5} c^{5} d^{7} + 495 \, a^{9} b^{4} c^{4} d^{8} - 220 \, a^{10} b^{3} c^{3} d^{9} + 66 \, a^{11} b^{2} c^{2} d^{10} - 12 \, a^{12} b c d^{11} + a^{13} d^{12} + {\left(b^{13} c^{12} - 12 \, a b^{12} c^{11} d + 66 \, a^{2} b^{11} c^{10} d^{2} - 220 \, a^{3} b^{10} c^{9} d^{3} + 495 \, a^{4} b^{9} c^{8} d^{4} - 792 \, a^{5} b^{8} c^{7} d^{5} + 924 \, a^{6} b^{7} c^{6} d^{6} - 792 \, a^{7} b^{6} c^{5} d^{7} + 495 \, a^{8} b^{5} c^{4} d^{8} - 220 \, a^{9} b^{4} c^{3} d^{9} + 66 \, a^{10} b^{3} c^{2} d^{10} - 12 \, a^{11} b^{2} c d^{11} + a^{12} b d^{12}\right)} x\right)}}\right) - 5 \, b d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{6}} \log\left(\frac{25 \, {\left({\left(b^{3} c^{2} d^{2} - 2 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{6}} + {\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(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b^{3} d^{4} x + a b^{2} d^{4}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{3}}\right)}}{b x + a}\right) + 5 \, b d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{6}} \log\left(-\frac{25 \, {\left({\left(b^{3} c^{2} d^{2} - 2 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{6}} - {\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(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - {\left(b^{3} d^{4} x + a b^{2} d^{4}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{3}}\right)}}{b x + a}\right) - 10 \, b d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{6}} \log\left(\frac{5 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} + {\left(b^{2} d^{2} x + a b d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{6}}\right)}}{b x + a}\right) + 10 \, b d \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{6}} \log\left(\frac{5 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} - {\left(b^{2} d^{2} x + a b d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{7} d^{11}}\right)^{\frac{1}{6}}\right)}}{b x + a}\right) + 12 \, {\left(6 \, b d x + b c + 5 \, a d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{144 \, b d}"," ",0,"1/144*(20*sqrt(3)*b*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b^8*c^2*d^9 - 2*a*b^7*c*d^10 + a^2*b^6*d^11)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(5/6) - 2*sqrt(3)*(b^7*d^9*x + a*b^6*d^9)*sqrt(((b^3*c^2*d^2 - 2*a*b^2*c*d^3 + a^2*b*d^4)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/6) + (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)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b^3*d^4*x + a*b^2*d^4)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/3))/(b*x + a))*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(5/6) + sqrt(3)*(a*b^12*c^12 - 12*a^2*b^11*c^11*d + 66*a^3*b^10*c^10*d^2 - 220*a^4*b^9*c^9*d^3 + 495*a^5*b^8*c^8*d^4 - 792*a^6*b^7*c^7*d^5 + 924*a^7*b^6*c^6*d^6 - 792*a^8*b^5*c^5*d^7 + 495*a^9*b^4*c^4*d^8 - 220*a^10*b^3*c^3*d^9 + 66*a^11*b^2*c^2*d^10 - 12*a^12*b*c*d^11 + a^13*d^12 + (b^13*c^12 - 12*a*b^12*c^11*d + 66*a^2*b^11*c^10*d^2 - 220*a^3*b^10*c^9*d^3 + 495*a^4*b^9*c^8*d^4 - 792*a^5*b^8*c^7*d^5 + 924*a^6*b^7*c^6*d^6 - 792*a^7*b^6*c^5*d^7 + 495*a^8*b^5*c^4*d^8 - 220*a^9*b^4*c^3*d^9 + 66*a^10*b^3*c^2*d^10 - 12*a^11*b^2*c*d^11 + a^12*b*d^12)*x))/(a*b^12*c^12 - 12*a^2*b^11*c^11*d + 66*a^3*b^10*c^10*d^2 - 220*a^4*b^9*c^9*d^3 + 495*a^5*b^8*c^8*d^4 - 792*a^6*b^7*c^7*d^5 + 924*a^7*b^6*c^6*d^6 - 792*a^8*b^5*c^5*d^7 + 495*a^9*b^4*c^4*d^8 - 220*a^10*b^3*c^3*d^9 + 66*a^11*b^2*c^2*d^10 - 12*a^12*b*c*d^11 + a^13*d^12 + (b^13*c^12 - 12*a*b^12*c^11*d + 66*a^2*b^11*c^10*d^2 - 220*a^3*b^10*c^9*d^3 + 495*a^4*b^9*c^8*d^4 - 792*a^5*b^8*c^7*d^5 + 924*a^6*b^7*c^6*d^6 - 792*a^7*b^6*c^5*d^7 + 495*a^8*b^5*c^4*d^8 - 220*a^9*b^4*c^3*d^9 + 66*a^10*b^3*c^2*d^10 - 12*a^11*b^2*c*d^11 + a^12*b*d^12)*x)) + 20*sqrt(3)*b*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b^8*c^2*d^9 - 2*a*b^7*c*d^10 + a^2*b^6*d^11)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(5/6) - 2*sqrt(3)*(b^7*d^9*x + a*b^6*d^9)*sqrt(-((b^3*c^2*d^2 - 2*a*b^2*c*d^3 + a^2*b*d^4)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/6) - (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)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b^3*d^4*x + a*b^2*d^4)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/3))/(b*x + a))*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(5/6) - sqrt(3)*(a*b^12*c^12 - 12*a^2*b^11*c^11*d + 66*a^3*b^10*c^10*d^2 - 220*a^4*b^9*c^9*d^3 + 495*a^5*b^8*c^8*d^4 - 792*a^6*b^7*c^7*d^5 + 924*a^7*b^6*c^6*d^6 - 792*a^8*b^5*c^5*d^7 + 495*a^9*b^4*c^4*d^8 - 220*a^10*b^3*c^3*d^9 + 66*a^11*b^2*c^2*d^10 - 12*a^12*b*c*d^11 + a^13*d^12 + (b^13*c^12 - 12*a*b^12*c^11*d + 66*a^2*b^11*c^10*d^2 - 220*a^3*b^10*c^9*d^3 + 495*a^4*b^9*c^8*d^4 - 792*a^5*b^8*c^7*d^5 + 924*a^6*b^7*c^6*d^6 - 792*a^7*b^6*c^5*d^7 + 495*a^8*b^5*c^4*d^8 - 220*a^9*b^4*c^3*d^9 + 66*a^10*b^3*c^2*d^10 - 12*a^11*b^2*c*d^11 + a^12*b*d^12)*x))/(a*b^12*c^12 - 12*a^2*b^11*c^11*d + 66*a^3*b^10*c^10*d^2 - 220*a^4*b^9*c^9*d^3 + 495*a^5*b^8*c^8*d^4 - 792*a^6*b^7*c^7*d^5 + 924*a^7*b^6*c^6*d^6 - 792*a^8*b^5*c^5*d^7 + 495*a^9*b^4*c^4*d^8 - 220*a^10*b^3*c^3*d^9 + 66*a^11*b^2*c^2*d^10 - 12*a^12*b*c*d^11 + a^13*d^12 + (b^13*c^12 - 12*a*b^12*c^11*d + 66*a^2*b^11*c^10*d^2 - 220*a^3*b^10*c^9*d^3 + 495*a^4*b^9*c^8*d^4 - 792*a^5*b^8*c^7*d^5 + 924*a^6*b^7*c^6*d^6 - 792*a^7*b^6*c^5*d^7 + 495*a^8*b^5*c^4*d^8 - 220*a^9*b^4*c^3*d^9 + 66*a^10*b^3*c^2*d^10 - 12*a^11*b^2*c*d^11 + a^12*b*d^12)*x)) - 5*b*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/6)*log(25*((b^3*c^2*d^2 - 2*a*b^2*c*d^3 + a^2*b*d^4)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/6) + (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)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b^3*d^4*x + a*b^2*d^4)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/3))/(b*x + a)) + 5*b*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/6)*log(-25*((b^3*c^2*d^2 - 2*a*b^2*c*d^3 + a^2*b*d^4)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/6) - (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)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b^3*d^4*x + a*b^2*d^4)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/3))/(b*x + a)) - 10*b*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/6)*log(5*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6) + (b^2*d^2*x + a*b*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/6))/(b*x + a)) + 10*b*d*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/6)*log(5*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6) - (b^2*d^2*x + a*b*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^7*d^11))^(1/6))/(b*x + a)) + 12*(6*b*d*x + b*c + 5*a*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6))/(b*d)","B",0
1780,1,2997,0,1.254394," ","integrate((b*x+a)^(5/6)/(d*x+c)^(5/6),x, algorithm=""fricas"")","-\frac{20 \, \sqrt{3} d \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{2} c d^{9} - a b d^{10}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{5}{6}} + 2 \, \sqrt{3} {\left(b^{2} d^{9} x + a b d^{9}\right)} \sqrt{\frac{{\left(b c d^{2} - a d^{3}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{6}} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b d^{4} x + a d^{4}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(a b^{6} c^{6} - 6 \, a^{2} b^{5} c^{5} d + 15 \, a^{3} b^{4} c^{4} d^{2} - 20 \, a^{4} b^{3} c^{3} d^{3} + 15 \, a^{5} b^{2} c^{2} d^{4} - 6 \, a^{6} b c d^{5} + a^{7} d^{6} + {\left(b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}\right)} x\right)}}{3 \, {\left(a b^{6} c^{6} - 6 \, a^{2} b^{5} c^{5} d + 15 \, a^{3} b^{4} c^{4} d^{2} - 20 \, a^{4} b^{3} c^{3} d^{3} + 15 \, a^{5} b^{2} c^{2} d^{4} - 6 \, a^{6} b c d^{5} + a^{7} d^{6} + {\left(b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}\right)} x\right)}}\right) + 20 \, \sqrt{3} d \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{2} c d^{9} - a b d^{10}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{5}{6}} + 2 \, \sqrt{3} {\left(b^{2} d^{9} x + a b d^{9}\right)} \sqrt{-\frac{{\left(b c d^{2} - a d^{3}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{6}} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - {\left(b d^{4} x + a d^{4}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(a b^{6} c^{6} - 6 \, a^{2} b^{5} c^{5} d + 15 \, a^{3} b^{4} c^{4} d^{2} - 20 \, a^{4} b^{3} c^{3} d^{3} + 15 \, a^{5} b^{2} c^{2} d^{4} - 6 \, a^{6} b c d^{5} + a^{7} d^{6} + {\left(b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}\right)} x\right)}}{3 \, {\left(a b^{6} c^{6} - 6 \, a^{2} b^{5} c^{5} d + 15 \, a^{3} b^{4} c^{4} d^{2} - 20 \, a^{4} b^{3} c^{3} d^{3} + 15 \, a^{5} b^{2} c^{2} d^{4} - 6 \, a^{6} b c d^{5} + a^{7} d^{6} + {\left(b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}\right)} x\right)}}\right) + 5 \, d \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{6}} \log\left(\frac{25 \, {\left({\left(b c d^{2} - a d^{3}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{6}} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b d^{4} x + a d^{4}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{3}}\right)}}{b x + a}\right) - 5 \, d \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{6}} \log\left(-\frac{25 \, {\left({\left(b c d^{2} - a d^{3}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{6}} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - {\left(b d^{4} x + a d^{4}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{3}}\right)}}{b x + a}\right) + 10 \, d \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{6}} \log\left(-\frac{5 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} + {\left(b d^{2} x + a d^{2}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{6}}\right)}}{b x + a}\right) - 10 \, d \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{6}} \log\left(-\frac{5 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} - {\left(b d^{2} x + a d^{2}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b d^{11}}\right)^{\frac{1}{6}}\right)}}{b x + a}\right) - 12 \, {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{12 \, d}"," ",0,"-1/12*(20*sqrt(3)*d*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/6)*arctan(1/3*(2*sqrt(3)*(b^2*c*d^9 - a*b*d^10)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(5/6) + 2*sqrt(3)*(b^2*d^9*x + a*b*d^9)*sqrt(((b*c*d^2 - a*d^3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/6) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b*d^4*x + a*d^4)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/3))/(b*x + a))*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(5/6) + sqrt(3)*(a*b^6*c^6 - 6*a^2*b^5*c^5*d + 15*a^3*b^4*c^4*d^2 - 20*a^4*b^3*c^3*d^3 + 15*a^5*b^2*c^2*d^4 - 6*a^6*b*c*d^5 + a^7*d^6 + (b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)*x))/(a*b^6*c^6 - 6*a^2*b^5*c^5*d + 15*a^3*b^4*c^4*d^2 - 20*a^4*b^3*c^3*d^3 + 15*a^5*b^2*c^2*d^4 - 6*a^6*b*c*d^5 + a^7*d^6 + (b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)*x)) + 20*sqrt(3)*d*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/6)*arctan(1/3*(2*sqrt(3)*(b^2*c*d^9 - a*b*d^10)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(5/6) + 2*sqrt(3)*(b^2*d^9*x + a*b*d^9)*sqrt(-((b*c*d^2 - a*d^3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/6) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b*d^4*x + a*d^4)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/3))/(b*x + a))*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(5/6) - sqrt(3)*(a*b^6*c^6 - 6*a^2*b^5*c^5*d + 15*a^3*b^4*c^4*d^2 - 20*a^4*b^3*c^3*d^3 + 15*a^5*b^2*c^2*d^4 - 6*a^6*b*c*d^5 + a^7*d^6 + (b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)*x))/(a*b^6*c^6 - 6*a^2*b^5*c^5*d + 15*a^3*b^4*c^4*d^2 - 20*a^4*b^3*c^3*d^3 + 15*a^5*b^2*c^2*d^4 - 6*a^6*b*c*d^5 + a^7*d^6 + (b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)*x)) + 5*d*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/6)*log(25*((b*c*d^2 - a*d^3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/6) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b*d^4*x + a*d^4)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/3))/(b*x + a)) - 5*d*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/6)*log(-25*((b*c*d^2 - a*d^3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/6) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b*d^4*x + a*d^4)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/3))/(b*x + a)) + 10*d*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/6)*log(-5*((b*c - a*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6) + (b*d^2*x + a*d^2)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/6))/(b*x + a)) - 10*d*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/6)*log(-5*((b*c - a*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6) - (b*d^2*x + a*d^2)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b*d^11))^(1/6))/(b*x + a)) - 12*(b*x + a)^(5/6)*(d*x + c)^(1/6))/d","B",0
1781,1,755,0,1.175343," ","integrate((b*x+a)^(5/6)/(d*x+c)^(11/6),x, algorithm=""fricas"")","-\frac{20 \, \sqrt{3} {\left(d^{2} x + c d\right)} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b d^{9} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b d^{9} x + a d^{9}\right)} \sqrt{\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b d^{2} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{6}} + {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b^{2} + {\left(b d^{4} x + a d^{4}\right)} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(b^{6} x + a b^{5}\right)}}{3 \, {\left(b^{6} x + a b^{5}\right)}}\right) + 20 \, \sqrt{3} {\left(d^{2} x + c d\right)} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b d^{9} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b d^{9} x + a d^{9}\right)} \sqrt{-\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b d^{2} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{6}} - {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b^{2} - {\left(b d^{4} x + a d^{4}\right)} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(b^{6} x + a b^{5}\right)}}{3 \, {\left(b^{6} x + a b^{5}\right)}}\right) - 5 \, {\left(d^{2} x + c d\right)} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{6}} \log\left(\frac{4 \, {\left({\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b d^{2} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{6}} + {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b^{2} + {\left(b d^{4} x + a d^{4}\right)} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{3}}\right)}}{b x + a}\right) + 5 \, {\left(d^{2} x + c d\right)} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{6}} \log\left(-\frac{4 \, {\left({\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b d^{2} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{6}} - {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} b^{2} - {\left(b d^{4} x + a d^{4}\right)} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{3}}\right)}}{b x + a}\right) - 10 \, {\left(d^{2} x + c d\right)} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{6}} \log\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b + {\left(b d^{2} x + a d^{2}\right)} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{6}}}{b x + a}\right) + 10 \, {\left(d^{2} x + c d\right)} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{6}} \log\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b - {\left(b d^{2} x + a d^{2}\right)} \left(\frac{b^{5}}{d^{11}}\right)^{\frac{1}{6}}}{b x + a}\right) + 12 \, {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{10 \, {\left(d^{2} x + c d\right)}}"," ",0,"-1/10*(20*sqrt(3)*(d^2*x + c*d)*(b^5/d^11)^(1/6)*arctan(-1/3*(2*sqrt(3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*b*d^9*(b^5/d^11)^(5/6) - 2*sqrt(3)*(b*d^9*x + a*d^9)*sqrt(((b*x + a)^(5/6)*(d*x + c)^(1/6)*b*d^2*(b^5/d^11)^(1/6) + (b*x + a)^(2/3)*(d*x + c)^(1/3)*b^2 + (b*d^4*x + a*d^4)*(b^5/d^11)^(1/3))/(b*x + a))*(b^5/d^11)^(5/6) + sqrt(3)*(b^6*x + a*b^5))/(b^6*x + a*b^5)) + 20*sqrt(3)*(d^2*x + c*d)*(b^5/d^11)^(1/6)*arctan(-1/3*(2*sqrt(3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*b*d^9*(b^5/d^11)^(5/6) - 2*sqrt(3)*(b*d^9*x + a*d^9)*sqrt(-((b*x + a)^(5/6)*(d*x + c)^(1/6)*b*d^2*(b^5/d^11)^(1/6) - (b*x + a)^(2/3)*(d*x + c)^(1/3)*b^2 - (b*d^4*x + a*d^4)*(b^5/d^11)^(1/3))/(b*x + a))*(b^5/d^11)^(5/6) - sqrt(3)*(b^6*x + a*b^5))/(b^6*x + a*b^5)) - 5*(d^2*x + c*d)*(b^5/d^11)^(1/6)*log(4*((b*x + a)^(5/6)*(d*x + c)^(1/6)*b*d^2*(b^5/d^11)^(1/6) + (b*x + a)^(2/3)*(d*x + c)^(1/3)*b^2 + (b*d^4*x + a*d^4)*(b^5/d^11)^(1/3))/(b*x + a)) + 5*(d^2*x + c*d)*(b^5/d^11)^(1/6)*log(-4*((b*x + a)^(5/6)*(d*x + c)^(1/6)*b*d^2*(b^5/d^11)^(1/6) - (b*x + a)^(2/3)*(d*x + c)^(1/3)*b^2 - (b*d^4*x + a*d^4)*(b^5/d^11)^(1/3))/(b*x + a)) - 10*(d^2*x + c*d)*(b^5/d^11)^(1/6)*log(((b*x + a)^(5/6)*(d*x + c)^(1/6)*b + (b*d^2*x + a*d^2)*(b^5/d^11)^(1/6))/(b*x + a)) + 10*(d^2*x + c*d)*(b^5/d^11)^(1/6)*log(((b*x + a)^(5/6)*(d*x + c)^(1/6)*b - (b*d^2*x + a*d^2)*(b^5/d^11)^(1/6))/(b*x + a)) + 12*(b*x + a)^(5/6)*(d*x + c)^(1/6))/(d^2*x + c*d)","B",0
1782,1,65,0,0.771190," ","integrate((b*x+a)^(5/6)/(d*x+c)^(17/6),x, algorithm=""fricas"")","\frac{6 \, {\left(b x + a\right)}^{\frac{11}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{11 \, {\left(b c^{3} - a c^{2} d + {\left(b c d^{2} - a d^{3}\right)} x^{2} + 2 \, {\left(b c^{2} d - a c d^{2}\right)} x\right)}}"," ",0,"6/11*(b*x + a)^(11/6)*(d*x + c)^(1/6)/(b*c^3 - a*c^2*d + (b*c*d^2 - a*d^3)*x^2 + 2*(b*c^2*d - a*c*d^2)*x)","B",0
1783,1,175,0,1.139471," ","integrate((b*x+a)^(5/6)/(d*x+c)^(23/6),x, algorithm=""fricas"")","\frac{6 \, {\left(6 \, b^{2} d x^{2} + 17 \, a b c - 11 \, a^{2} d + {\left(17 \, b^{2} c - 5 \, a b d\right)} x\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{187 \, {\left(b^{2} c^{5} - 2 \, a b c^{4} d + a^{2} c^{3} d^{2} + {\left(b^{2} c^{2} d^{3} - 2 \, a b c d^{4} + a^{2} d^{5}\right)} x^{3} + 3 \, {\left(b^{2} c^{3} d^{2} - 2 \, a b c^{2} d^{3} + a^{2} c d^{4}\right)} x^{2} + 3 \, {\left(b^{2} c^{4} d - 2 \, a b c^{3} d^{2} + a^{2} c^{2} d^{3}\right)} x\right)}}"," ",0,"6/187*(6*b^2*d*x^2 + 17*a*b*c - 11*a^2*d + (17*b^2*c - 5*a*b*d)*x)*(b*x + a)^(5/6)*(d*x + c)^(1/6)/(b^2*c^5 - 2*a*b*c^4*d + a^2*c^3*d^2 + (b^2*c^2*d^3 - 2*a*b*c*d^4 + a^2*d^5)*x^3 + 3*(b^2*c^3*d^2 - 2*a*b*c^2*d^3 + a^2*c*d^4)*x^2 + 3*(b^2*c^4*d - 2*a*b*c^3*d^2 + a^2*c^2*d^3)*x)","B",0
1784,1,338,0,1.156048," ","integrate((b*x+a)^(5/6)/(d*x+c)^(29/6),x, algorithm=""fricas"")","\frac{6 \, {\left(72 \, b^{3} d^{2} x^{3} + 391 \, a b^{2} c^{2} - 506 \, a^{2} b c d + 187 \, a^{3} d^{2} + 12 \, {\left(23 \, b^{3} c d - 5 \, a b^{2} d^{2}\right)} x^{2} + {\left(391 \, b^{3} c^{2} - 230 \, a b^{2} c d + 55 \, a^{2} b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{4301 \, {\left(b^{3} c^{7} - 3 \, a b^{2} c^{6} d + 3 \, a^{2} b c^{5} d^{2} - a^{3} c^{4} d^{3} + {\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)} x^{4} + 4 \, {\left(b^{3} c^{4} d^{3} - 3 \, a b^{2} c^{3} d^{4} + 3 \, a^{2} b c^{2} d^{5} - a^{3} c d^{6}\right)} x^{3} + 6 \, {\left(b^{3} c^{5} d^{2} - 3 \, a b^{2} c^{4} d^{3} + 3 \, a^{2} b c^{3} d^{4} - a^{3} c^{2} d^{5}\right)} x^{2} + 4 \, {\left(b^{3} c^{6} d - 3 \, a b^{2} c^{5} d^{2} + 3 \, a^{2} b c^{4} d^{3} - a^{3} c^{3} d^{4}\right)} x\right)}}"," ",0,"6/4301*(72*b^3*d^2*x^3 + 391*a*b^2*c^2 - 506*a^2*b*c*d + 187*a^3*d^2 + 12*(23*b^3*c*d - 5*a*b^2*d^2)*x^2 + (391*b^3*c^2 - 230*a*b^2*c*d + 55*a^2*b*d^2)*x)*(b*x + a)^(5/6)*(d*x + c)^(1/6)/(b^3*c^7 - 3*a*b^2*c^6*d + 3*a^2*b*c^5*d^2 - a^3*c^4*d^3 + (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)*x^4 + 4*(b^3*c^4*d^3 - 3*a*b^2*c^3*d^4 + 3*a^2*b*c^2*d^5 - a^3*c*d^6)*x^3 + 6*(b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 3*a^2*b*c^3*d^4 - a^3*c^2*d^5)*x^2 + 4*(b^3*c^6*d - 3*a*b^2*c^5*d^2 + 3*a^2*b*c^4*d^3 - a^3*c^3*d^4)*x)","B",0
1785,1,533,0,1.179025," ","integrate((b*x+a)^(5/6)/(d*x+c)^(35/6),x, algorithm=""fricas"")","\frac{6 \, {\left(1296 \, b^{4} d^{3} x^{4} + 11339 \, a b^{3} c^{3} - 22011 \, a^{2} b^{2} c^{2} d + 16269 \, a^{3} b c d^{2} - 4301 \, a^{4} d^{3} + 216 \, {\left(29 \, b^{4} c d^{2} - 5 \, a b^{3} d^{3}\right)} x^{3} + 18 \, {\left(667 \, b^{4} c^{2} d - 290 \, a b^{3} c d^{2} + 55 \, a^{2} b^{2} d^{3}\right)} x^{2} + {\left(11339 \, b^{4} c^{3} - 10005 \, a b^{3} c^{2} d + 4785 \, a^{2} b^{2} c d^{2} - 935 \, a^{3} b d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{124729 \, {\left(b^{4} c^{9} - 4 \, a b^{3} c^{8} d + 6 \, a^{2} b^{2} c^{7} d^{2} - 4 \, a^{3} b c^{6} d^{3} + a^{4} c^{5} d^{4} + {\left(b^{4} c^{4} d^{5} - 4 \, a b^{3} c^{3} d^{6} + 6 \, a^{2} b^{2} c^{2} d^{7} - 4 \, a^{3} b c d^{8} + a^{4} d^{9}\right)} x^{5} + 5 \, {\left(b^{4} c^{5} d^{4} - 4 \, a b^{3} c^{4} d^{5} + 6 \, a^{2} b^{2} c^{3} d^{6} - 4 \, a^{3} b c^{2} d^{7} + a^{4} c d^{8}\right)} x^{4} + 10 \, {\left(b^{4} c^{6} d^{3} - 4 \, a b^{3} c^{5} d^{4} + 6 \, a^{2} b^{2} c^{4} d^{5} - 4 \, a^{3} b c^{3} d^{6} + a^{4} c^{2} d^{7}\right)} x^{3} + 10 \, {\left(b^{4} c^{7} d^{2} - 4 \, a b^{3} c^{6} d^{3} + 6 \, a^{2} b^{2} c^{5} d^{4} - 4 \, a^{3} b c^{4} d^{5} + a^{4} c^{3} d^{6}\right)} x^{2} + 5 \, {\left(b^{4} c^{8} d - 4 \, a b^{3} c^{7} d^{2} + 6 \, a^{2} b^{2} c^{6} d^{3} - 4 \, a^{3} b c^{5} d^{4} + a^{4} c^{4} d^{5}\right)} x\right)}}"," ",0,"6/124729*(1296*b^4*d^3*x^4 + 11339*a*b^3*c^3 - 22011*a^2*b^2*c^2*d + 16269*a^3*b*c*d^2 - 4301*a^4*d^3 + 216*(29*b^4*c*d^2 - 5*a*b^3*d^3)*x^3 + 18*(667*b^4*c^2*d - 290*a*b^3*c*d^2 + 55*a^2*b^2*d^3)*x^2 + (11339*b^4*c^3 - 10005*a*b^3*c^2*d + 4785*a^2*b^2*c*d^2 - 935*a^3*b*d^3)*x)*(b*x + a)^(5/6)*(d*x + c)^(1/6)/(b^4*c^9 - 4*a*b^3*c^8*d + 6*a^2*b^2*c^7*d^2 - 4*a^3*b*c^6*d^3 + a^4*c^5*d^4 + (b^4*c^4*d^5 - 4*a*b^3*c^3*d^6 + 6*a^2*b^2*c^2*d^7 - 4*a^3*b*c*d^8 + a^4*d^9)*x^5 + 5*(b^4*c^5*d^4 - 4*a*b^3*c^4*d^5 + 6*a^2*b^2*c^3*d^6 - 4*a^3*b*c^2*d^7 + a^4*c*d^8)*x^4 + 10*(b^4*c^6*d^3 - 4*a*b^3*c^5*d^4 + 6*a^2*b^2*c^4*d^5 - 4*a^3*b*c^3*d^6 + a^4*c^2*d^7)*x^3 + 10*(b^4*c^7*d^2 - 4*a*b^3*c^6*d^3 + 6*a^2*b^2*c^5*d^4 - 4*a^3*b*c^4*d^5 + a^4*c^3*d^6)*x^2 + 5*(b^4*c^8*d - 4*a*b^3*c^7*d^2 + 6*a^2*b^2*c^6*d^3 - 4*a^3*b*c^5*d^4 + a^4*c^4*d^5)*x)","B",0
1786,0,0,0,2.078009," ","integrate((b*x+a)^(5/6)*(d*x+c)^(11/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{11}{6}}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(11/6), x)","F",0
1787,0,0,0,2.137266," ","integrate((b*x+a)^(5/6)*(d*x+c)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6), x)","F",0
1788,0,0,0,2.041333," ","integrate((b*x+a)^(5/6)/(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}}}{{\left(d x + c\right)}^{\frac{1}{6}}}, x\right)"," ",0,"integral((b*x + a)^(5/6)/(d*x + c)^(1/6), x)","F",0
1789,0,0,0,2.127616," ","integrate((b*x+a)^(5/6)/(d*x+c)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1790,0,0,0,2.148788," ","integrate((b*x+a)^(5/6)/(d*x+c)^(13/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
1791,0,0,0,1.663480," ","integrate((b*x+a)^(5/6)/(d*x+c)^(19/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6)/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x)","F",0
1792,0,0,0,1.250415," ","integrate((b*x+a)^(7/6)*(d*x+c)^(13/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b d^{2} x^{3} + a c^{2} + {\left(2 \, b c d + a d^{2}\right)} x^{2} + {\left(b c^{2} + 2 \, a c d\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{1}{6}}, x\right)"," ",0,"integral((b*d^2*x^3 + a*c^2 + (2*b*c*d + a*d^2)*x^2 + (b*c^2 + 2*a*c*d)*x)*(b*x + a)^(1/6)*(d*x + c)^(1/6), x)","F",0
1793,0,0,0,1.018010," ","integrate((b*x+a)^(7/6)*(d*x+c)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{1}{6}}, x\right)"," ",0,"integral((b*d*x^2 + a*c + (b*c + a*d)*x)*(b*x + a)^(1/6)*(d*x + c)^(1/6), x)","F",0
1794,0,0,0,1.115451," ","integrate((b*x+a)^(7/6)*(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{1}{6}}, x\right)"," ",0,"integral((b*x + a)^(7/6)*(d*x + c)^(1/6), x)","F",0
1795,0,0,0,1.028292," ","integrate((b*x+a)^(7/6)/(d*x+c)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{7}{6}}}{{\left(d x + c\right)}^{\frac{5}{6}}}, x\right)"," ",0,"integral((b*x + a)^(7/6)/(d*x + c)^(5/6), x)","F",0
1796,0,0,0,1.275820," ","integrate((b*x+a)^(7/6)/(d*x+c)^(11/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b*x + a)^(7/6)*(d*x + c)^(1/6)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1797,0,0,0,0.848553," ","integrate((b*x+a)^(7/6)/(d*x+c)^(17/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}, x\right)"," ",0,"integral((b*x + a)^(7/6)*(d*x + c)^(1/6)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
1798,1,5633,0,1.556744," ","integrate((b*x+a)^(7/6)/(d*x+c)^(1/6),x, algorithm=""fricas"")","-\frac{28 \, \sqrt{3} d^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b^{6} c^{2} d^{11} - 2 \, a b^{5} c d^{12} + a^{2} b^{4} d^{13}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{4} d^{12} x + b^{4} c d^{11}\right)} \sqrt{\frac{{\left(b^{3} c^{2} d^{2} - 2 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{6}} + {\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(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(b^{2} d^{5} x + b^{2} c d^{4}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(b^{12} c^{13} - 12 \, a b^{11} c^{12} d + 66 \, a^{2} b^{10} c^{11} d^{2} - 220 \, a^{3} b^{9} c^{10} d^{3} + 495 \, a^{4} b^{8} c^{9} d^{4} - 792 \, a^{5} b^{7} c^{8} d^{5} + 924 \, a^{6} b^{6} c^{7} d^{6} - 792 \, a^{7} b^{5} c^{6} d^{7} + 495 \, a^{8} b^{4} c^{5} d^{8} - 220 \, a^{9} b^{3} c^{4} d^{9} + 66 \, a^{10} b^{2} c^{3} d^{10} - 12 \, a^{11} b c^{2} d^{11} + a^{12} c d^{12} + {\left(b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}\right)} x\right)}}{3 \, {\left(b^{12} c^{13} - 12 \, a b^{11} c^{12} d + 66 \, a^{2} b^{10} c^{11} d^{2} - 220 \, a^{3} b^{9} c^{10} d^{3} + 495 \, a^{4} b^{8} c^{9} d^{4} - 792 \, a^{5} b^{7} c^{8} d^{5} + 924 \, a^{6} b^{6} c^{7} d^{6} - 792 \, a^{7} b^{5} c^{6} d^{7} + 495 \, a^{8} b^{4} c^{5} d^{8} - 220 \, a^{9} b^{3} c^{4} d^{9} + 66 \, a^{10} b^{2} c^{3} d^{10} - 12 \, a^{11} b c^{2} d^{11} + a^{12} c d^{12} + {\left(b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}\right)} x\right)}}\right) + 28 \, \sqrt{3} d^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b^{6} c^{2} d^{11} - 2 \, a b^{5} c d^{12} + a^{2} b^{4} d^{13}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{4} d^{12} x + b^{4} c d^{11}\right)} \sqrt{-\frac{{\left(b^{3} c^{2} d^{2} - 2 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{6}} - {\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(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{2} d^{5} x + b^{2} c d^{4}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(b^{12} c^{13} - 12 \, a b^{11} c^{12} d + 66 \, a^{2} b^{10} c^{11} d^{2} - 220 \, a^{3} b^{9} c^{10} d^{3} + 495 \, a^{4} b^{8} c^{9} d^{4} - 792 \, a^{5} b^{7} c^{8} d^{5} + 924 \, a^{6} b^{6} c^{7} d^{6} - 792 \, a^{7} b^{5} c^{6} d^{7} + 495 \, a^{8} b^{4} c^{5} d^{8} - 220 \, a^{9} b^{3} c^{4} d^{9} + 66 \, a^{10} b^{2} c^{3} d^{10} - 12 \, a^{11} b c^{2} d^{11} + a^{12} c d^{12} + {\left(b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}\right)} x\right)}}{3 \, {\left(b^{12} c^{13} - 12 \, a b^{11} c^{12} d + 66 \, a^{2} b^{10} c^{11} d^{2} - 220 \, a^{3} b^{9} c^{10} d^{3} + 495 \, a^{4} b^{8} c^{9} d^{4} - 792 \, a^{5} b^{7} c^{8} d^{5} + 924 \, a^{6} b^{6} c^{7} d^{6} - 792 \, a^{7} b^{5} c^{6} d^{7} + 495 \, a^{8} b^{4} c^{5} d^{8} - 220 \, a^{9} b^{3} c^{4} d^{9} + 66 \, a^{10} b^{2} c^{3} d^{10} - 12 \, a^{11} b c^{2} d^{11} + a^{12} c d^{12} + {\left(b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}\right)} x\right)}}\right) - 7 \, d^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{6}} \log\left(\frac{49 \, {\left({\left(b^{3} c^{2} d^{2} - 2 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{6}} + {\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(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(b^{2} d^{5} x + b^{2} c d^{4}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{3}}\right)}}{d x + c}\right) + 7 \, d^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{6}} \log\left(-\frac{49 \, {\left({\left(b^{3} c^{2} d^{2} - 2 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{6}} - {\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(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{2} d^{5} x + b^{2} c d^{4}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{3}}\right)}}{d x + c}\right) - 14 \, d^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{6}} \log\left(\frac{7 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} + {\left(b d^{3} x + b c d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{6}}\right)}}{d x + c}\right) + 14 \, d^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{6}} \log\left(\frac{7 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} - {\left(b d^{3} x + b c d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{5} d^{13}}\right)^{\frac{1}{6}}\right)}}{d x + c}\right) - 12 \, {\left(6 \, b d x - 7 \, b c + 13 \, a d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{144 \, d^{2}}"," ",0,"-1/144*(28*sqrt(3)*d^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b^6*c^2*d^11 - 2*a*b^5*c*d^12 + a^2*b^4*d^13)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(5/6) - 2*sqrt(3)*(b^4*d^12*x + b^4*c*d^11)*sqrt(((b^3*c^2*d^2 - 2*a*b^2*c*d^3 + a^2*b*d^4)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/6) + (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)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (b^2*d^5*x + b^2*c*d^4)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/3))/(d*x + c))*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(5/6) + sqrt(3)*(b^12*c^13 - 12*a*b^11*c^12*d + 66*a^2*b^10*c^11*d^2 - 220*a^3*b^9*c^10*d^3 + 495*a^4*b^8*c^9*d^4 - 792*a^5*b^7*c^8*d^5 + 924*a^6*b^6*c^7*d^6 - 792*a^7*b^5*c^6*d^7 + 495*a^8*b^4*c^5*d^8 - 220*a^9*b^3*c^4*d^9 + 66*a^10*b^2*c^3*d^10 - 12*a^11*b*c^2*d^11 + a^12*c*d^12 + (b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)*x))/(b^12*c^13 - 12*a*b^11*c^12*d + 66*a^2*b^10*c^11*d^2 - 220*a^3*b^9*c^10*d^3 + 495*a^4*b^8*c^9*d^4 - 792*a^5*b^7*c^8*d^5 + 924*a^6*b^6*c^7*d^6 - 792*a^7*b^5*c^6*d^7 + 495*a^8*b^4*c^5*d^8 - 220*a^9*b^3*c^4*d^9 + 66*a^10*b^2*c^3*d^10 - 12*a^11*b*c^2*d^11 + a^12*c*d^12 + (b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)*x)) + 28*sqrt(3)*d^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b^6*c^2*d^11 - 2*a*b^5*c*d^12 + a^2*b^4*d^13)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(5/6) - 2*sqrt(3)*(b^4*d^12*x + b^4*c*d^11)*sqrt(-((b^3*c^2*d^2 - 2*a*b^2*c*d^3 + a^2*b*d^4)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/6) - (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)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (b^2*d^5*x + b^2*c*d^4)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/3))/(d*x + c))*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(5/6) - sqrt(3)*(b^12*c^13 - 12*a*b^11*c^12*d + 66*a^2*b^10*c^11*d^2 - 220*a^3*b^9*c^10*d^3 + 495*a^4*b^8*c^9*d^4 - 792*a^5*b^7*c^8*d^5 + 924*a^6*b^6*c^7*d^6 - 792*a^7*b^5*c^6*d^7 + 495*a^8*b^4*c^5*d^8 - 220*a^9*b^3*c^4*d^9 + 66*a^10*b^2*c^3*d^10 - 12*a^11*b*c^2*d^11 + a^12*c*d^12 + (b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)*x))/(b^12*c^13 - 12*a*b^11*c^12*d + 66*a^2*b^10*c^11*d^2 - 220*a^3*b^9*c^10*d^3 + 495*a^4*b^8*c^9*d^4 - 792*a^5*b^7*c^8*d^5 + 924*a^6*b^6*c^7*d^6 - 792*a^7*b^5*c^6*d^7 + 495*a^8*b^4*c^5*d^8 - 220*a^9*b^3*c^4*d^9 + 66*a^10*b^2*c^3*d^10 - 12*a^11*b*c^2*d^11 + a^12*c*d^12 + (b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)*x)) - 7*d^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/6)*log(49*((b^3*c^2*d^2 - 2*a*b^2*c*d^3 + a^2*b*d^4)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/6) + (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)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (b^2*d^5*x + b^2*c*d^4)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/3))/(d*x + c)) + 7*d^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/6)*log(-49*((b^3*c^2*d^2 - 2*a*b^2*c*d^3 + a^2*b*d^4)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/6) - (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)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (b^2*d^5*x + b^2*c*d^4)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/3))/(d*x + c)) - 14*d^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/6)*log(7*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6) + (b*d^3*x + b*c*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/6))/(d*x + c)) + 14*d^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/6)*log(7*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6) - (b*d^3*x + b*c*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^5*d^13))^(1/6))/(d*x + c)) - 12*(6*b*d*x - 7*b*c + 13*a*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6))/d^2","B",0
1799,1,3084,0,1.430943," ","integrate((b*x+a)^(7/6)/(d*x+c)^(7/6),x, algorithm=""fricas"")","-\frac{28 \, \sqrt{3} {\left(d^{3} x + c d^{2}\right)} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b c d^{11} - a d^{12}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{5}{6}} + 2 \, \sqrt{3} {\left(d^{12} x + c d^{11}\right)} \sqrt{\frac{{\left(b c d^{2} - a d^{3}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{6}} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(d^{5} x + c d^{4}\right)} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(b^{7} c^{7} - 6 \, a b^{6} c^{6} d + 15 \, a^{2} b^{5} c^{5} d^{2} - 20 \, a^{3} b^{4} c^{4} d^{3} + 15 \, a^{4} b^{3} c^{3} d^{4} - 6 \, a^{5} b^{2} c^{2} d^{5} + a^{6} b c d^{6} + {\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\right)}}{3 \, {\left(b^{7} c^{7} - 6 \, a b^{6} c^{6} d + 15 \, a^{2} b^{5} c^{5} d^{2} - 20 \, a^{3} b^{4} c^{4} d^{3} + 15 \, a^{4} b^{3} c^{3} d^{4} - 6 \, a^{5} b^{2} c^{2} d^{5} + a^{6} b c d^{6} + {\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\right)}}\right) + 28 \, \sqrt{3} {\left(d^{3} x + c d^{2}\right)} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b c d^{11} - a d^{12}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{5}{6}} + 2 \, \sqrt{3} {\left(d^{12} x + c d^{11}\right)} \sqrt{-\frac{{\left(b c d^{2} - a d^{3}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{6}} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(d^{5} x + c d^{4}\right)} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(b^{7} c^{7} - 6 \, a b^{6} c^{6} d + 15 \, a^{2} b^{5} c^{5} d^{2} - 20 \, a^{3} b^{4} c^{4} d^{3} + 15 \, a^{4} b^{3} c^{3} d^{4} - 6 \, a^{5} b^{2} c^{2} d^{5} + a^{6} b c d^{6} + {\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\right)}}{3 \, {\left(b^{7} c^{7} - 6 \, a b^{6} c^{6} d + 15 \, a^{2} b^{5} c^{5} d^{2} - 20 \, a^{3} b^{4} c^{4} d^{3} + 15 \, a^{4} b^{3} c^{3} d^{4} - 6 \, a^{5} b^{2} c^{2} d^{5} + a^{6} b c d^{6} + {\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\right)}}\right) + 7 \, {\left(d^{3} x + c d^{2}\right)} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{6}} \log\left(\frac{49 \, {\left({\left(b c d^{2} - a d^{3}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{6}} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(d^{5} x + c d^{4}\right)} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{3}}\right)}}{d x + c}\right) - 7 \, {\left(d^{3} x + c d^{2}\right)} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{6}} \log\left(-\frac{49 \, {\left({\left(b c d^{2} - a d^{3}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{6}} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(d^{5} x + c d^{4}\right)} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{3}}\right)}}{d x + c}\right) + 14 \, {\left(d^{3} x + c d^{2}\right)} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{6}} \log\left(-\frac{7 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} + {\left(d^{3} x + c d^{2}\right)} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{6}}\right)}}{d x + c}\right) - 14 \, {\left(d^{3} x + c d^{2}\right)} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{6}} \log\left(-\frac{7 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} - {\left(d^{3} x + c d^{2}\right)} \left(\frac{b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}}{d^{13}}\right)^{\frac{1}{6}}\right)}}{d x + c}\right) - 12 \, {\left(b d x + 7 \, b c - 6 \, a d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{12 \, {\left(d^{3} x + c d^{2}\right)}}"," ",0,"-1/12*(28*sqrt(3)*(d^3*x + c*d^2)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/6)*arctan(1/3*(2*sqrt(3)*(b*c*d^11 - a*d^12)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(5/6) + 2*sqrt(3)*(d^12*x + c*d^11)*sqrt(((b*c*d^2 - a*d^3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/6) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (d^5*x + c*d^4)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/3))/(d*x + c))*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(5/6) + sqrt(3)*(b^7*c^7 - 6*a*b^6*c^6*d + 15*a^2*b^5*c^5*d^2 - 20*a^3*b^4*c^4*d^3 + 15*a^4*b^3*c^3*d^4 - 6*a^5*b^2*c^2*d^5 + a^6*b*c*d^6 + (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^7*c^7 - 6*a*b^6*c^6*d + 15*a^2*b^5*c^5*d^2 - 20*a^3*b^4*c^4*d^3 + 15*a^4*b^3*c^3*d^4 - 6*a^5*b^2*c^2*d^5 + a^6*b*c*d^6 + (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)) + 28*sqrt(3)*(d^3*x + c*d^2)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/6)*arctan(1/3*(2*sqrt(3)*(b*c*d^11 - a*d^12)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(5/6) + 2*sqrt(3)*(d^12*x + c*d^11)*sqrt(-((b*c*d^2 - a*d^3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/6) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (d^5*x + c*d^4)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/3))/(d*x + c))*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(5/6) - sqrt(3)*(b^7*c^7 - 6*a*b^6*c^6*d + 15*a^2*b^5*c^5*d^2 - 20*a^3*b^4*c^4*d^3 + 15*a^4*b^3*c^3*d^4 - 6*a^5*b^2*c^2*d^5 + a^6*b*c*d^6 + (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^7*c^7 - 6*a*b^6*c^6*d + 15*a^2*b^5*c^5*d^2 - 20*a^3*b^4*c^4*d^3 + 15*a^4*b^3*c^3*d^4 - 6*a^5*b^2*c^2*d^5 + a^6*b*c*d^6 + (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)) + 7*(d^3*x + c*d^2)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/6)*log(49*((b*c*d^2 - a*d^3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/6) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (d^5*x + c*d^4)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/3))/(d*x + c)) - 7*(d^3*x + c*d^2)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/6)*log(-49*((b*c*d^2 - a*d^3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/6) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (d^5*x + c*d^4)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/3))/(d*x + c)) + 14*(d^3*x + c*d^2)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/6)*log(-7*((b*c - a*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6) + (d^3*x + c*d^2)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/6))/(d*x + c)) - 14*(d^3*x + c*d^2)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/6)*log(-7*((b*c - a*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6) - (d^3*x + c*d^2)*((b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)/d^13)^(1/6))/(d*x + c)) - 12*(b*d*x + 7*b*c - 6*a*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6))/(d^3*x + c*d^2)","B",0
1800,1,855,0,1.463174," ","integrate((b*x+a)^(7/6)/(d*x+c)^(13/6),x, algorithm=""fricas"")","-\frac{28 \, \sqrt{3} {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b d^{11} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(d^{12} x + c d^{11}\right)} \sqrt{\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b d^{2} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{6}} + {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} + {\left(d^{5} x + c d^{4}\right)} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(b^{7} d x + b^{7} c\right)}}{3 \, {\left(b^{7} d x + b^{7} c\right)}}\right) + 28 \, \sqrt{3} {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b d^{11} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(d^{12} x + c d^{11}\right)} \sqrt{-\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b d^{2} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{6}} - {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} - {\left(d^{5} x + c d^{4}\right)} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(b^{7} d x + b^{7} c\right)}}{3 \, {\left(b^{7} d x + b^{7} c\right)}}\right) - 7 \, {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{6}} \log\left(\frac{4 \, {\left({\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b d^{2} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{6}} + {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} + {\left(d^{5} x + c d^{4}\right)} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{3}}\right)}}{d x + c}\right) + 7 \, {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{6}} \log\left(-\frac{4 \, {\left({\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b d^{2} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{6}} - {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} - {\left(d^{5} x + c d^{4}\right)} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{3}}\right)}}{d x + c}\right) - 14 \, {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{6}} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b + {\left(d^{3} x + c d^{2}\right)} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{6}}}{d x + c}\right) + 14 \, {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{6}} \log\left(\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b - {\left(d^{3} x + c d^{2}\right)} \left(\frac{b^{7}}{d^{13}}\right)^{\frac{1}{6}}}{d x + c}\right) + 12 \, {\left(8 \, b d x + 7 \, b c + a d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{14 \, {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)}}"," ",0,"-1/14*(28*sqrt(3)*(d^4*x^2 + 2*c*d^3*x + c^2*d^2)*(b^7/d^13)^(1/6)*arctan(-1/3*(2*sqrt(3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*b*d^11*(b^7/d^13)^(5/6) - 2*sqrt(3)*(d^12*x + c*d^11)*sqrt(((b*x + a)^(1/6)*(d*x + c)^(5/6)*b*d^2*(b^7/d^13)^(1/6) + (b*x + a)^(1/3)*(d*x + c)^(2/3)*b^2 + (d^5*x + c*d^4)*(b^7/d^13)^(1/3))/(d*x + c))*(b^7/d^13)^(5/6) + sqrt(3)*(b^7*d*x + b^7*c))/(b^7*d*x + b^7*c)) + 28*sqrt(3)*(d^4*x^2 + 2*c*d^3*x + c^2*d^2)*(b^7/d^13)^(1/6)*arctan(-1/3*(2*sqrt(3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*b*d^11*(b^7/d^13)^(5/6) - 2*sqrt(3)*(d^12*x + c*d^11)*sqrt(-((b*x + a)^(1/6)*(d*x + c)^(5/6)*b*d^2*(b^7/d^13)^(1/6) - (b*x + a)^(1/3)*(d*x + c)^(2/3)*b^2 - (d^5*x + c*d^4)*(b^7/d^13)^(1/3))/(d*x + c))*(b^7/d^13)^(5/6) - sqrt(3)*(b^7*d*x + b^7*c))/(b^7*d*x + b^7*c)) - 7*(d^4*x^2 + 2*c*d^3*x + c^2*d^2)*(b^7/d^13)^(1/6)*log(4*((b*x + a)^(1/6)*(d*x + c)^(5/6)*b*d^2*(b^7/d^13)^(1/6) + (b*x + a)^(1/3)*(d*x + c)^(2/3)*b^2 + (d^5*x + c*d^4)*(b^7/d^13)^(1/3))/(d*x + c)) + 7*(d^4*x^2 + 2*c*d^3*x + c^2*d^2)*(b^7/d^13)^(1/6)*log(-4*((b*x + a)^(1/6)*(d*x + c)^(5/6)*b*d^2*(b^7/d^13)^(1/6) - (b*x + a)^(1/3)*(d*x + c)^(2/3)*b^2 - (d^5*x + c*d^4)*(b^7/d^13)^(1/3))/(d*x + c)) - 14*(d^4*x^2 + 2*c*d^3*x + c^2*d^2)*(b^7/d^13)^(1/6)*log(((b*x + a)^(1/6)*(d*x + c)^(5/6)*b + (d^3*x + c*d^2)*(b^7/d^13)^(1/6))/(d*x + c)) + 14*(d^4*x^2 + 2*c*d^3*x + c^2*d^2)*(b^7/d^13)^(1/6)*log(((b*x + a)^(1/6)*(d*x + c)^(5/6)*b - (d^3*x + c*d^2)*(b^7/d^13)^(1/6))/(d*x + c)) + 12*(8*b*d*x + 7*b*c + a*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6))/(d^4*x^2 + 2*c*d^3*x + c^2*d^2)","B",0
1801,1,104,0,1.334503," ","integrate((b*x+a)^(7/6)/(d*x+c)^(19/6),x, algorithm=""fricas"")","\frac{6 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{13 \, {\left(b c^{4} - a c^{3} d + {\left(b c d^{3} - a d^{4}\right)} x^{3} + 3 \, {\left(b c^{2} d^{2} - a c d^{3}\right)} x^{2} + 3 \, {\left(b c^{3} d - a c^{2} d^{2}\right)} x\right)}}"," ",0,"6/13*(b^2*x^2 + 2*a*b*x + a^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6)/(b*c^4 - a*c^3*d + (b*c*d^3 - a*d^4)*x^3 + 3*(b*c^2*d^2 - a*c*d^3)*x^2 + 3*(b*c^3*d - a*c^2*d^2)*x)","B",0
1802,1,235,0,1.342700," ","integrate((b*x+a)^(7/6)/(d*x+c)^(25/6),x, algorithm=""fricas"")","\frac{6 \, {\left(6 \, b^{3} d x^{3} + 19 \, a^{2} b c - 13 \, a^{3} d + {\left(19 \, b^{3} c - a b^{2} d\right)} x^{2} + 2 \, {\left(19 \, a b^{2} c - 10 \, a^{2} b d\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{247 \, {\left(b^{2} c^{6} - 2 \, a b c^{5} d + a^{2} c^{4} d^{2} + {\left(b^{2} c^{2} d^{4} - 2 \, a b c d^{5} + a^{2} d^{6}\right)} x^{4} + 4 \, {\left(b^{2} c^{3} d^{3} - 2 \, a b c^{2} d^{4} + a^{2} c d^{5}\right)} x^{3} + 6 \, {\left(b^{2} c^{4} d^{2} - 2 \, a b c^{3} d^{3} + a^{2} c^{2} d^{4}\right)} x^{2} + 4 \, {\left(b^{2} c^{5} d - 2 \, a b c^{4} d^{2} + a^{2} c^{3} d^{3}\right)} x\right)}}"," ",0,"6/247*(6*b^3*d*x^3 + 19*a^2*b*c - 13*a^3*d + (19*b^3*c - a*b^2*d)*x^2 + 2*(19*a*b^2*c - 10*a^2*b*d)*x)*(b*x + a)^(1/6)*(d*x + c)^(5/6)/(b^2*c^6 - 2*a*b*c^5*d + a^2*c^4*d^2 + (b^2*c^2*d^4 - 2*a*b*c*d^5 + a^2*d^6)*x^4 + 4*(b^2*c^3*d^3 - 2*a*b*c^2*d^4 + a^2*c*d^5)*x^3 + 6*(b^2*c^4*d^2 - 2*a*b*c^3*d^3 + a^2*c^2*d^4)*x^2 + 4*(b^2*c^5*d - 2*a*b*c^4*d^2 + a^2*c^3*d^3)*x)","B",0
1803,1,427,0,1.369728," ","integrate((b*x+a)^(7/6)/(d*x+c)^(31/6),x, algorithm=""fricas"")","\frac{6 \, {\left(72 \, b^{4} d^{2} x^{4} + 475 \, a^{2} b^{2} c^{2} - 650 \, a^{3} b c d + 247 \, a^{4} d^{2} + 12 \, {\left(25 \, b^{4} c d - a b^{3} d^{2}\right)} x^{3} + {\left(475 \, b^{4} c^{2} - 50 \, a b^{3} c d + 7 \, a^{2} b^{2} d^{2}\right)} x^{2} + 2 \, {\left(475 \, a b^{3} c^{2} - 500 \, a^{2} b^{2} c d + 169 \, a^{3} b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{6175 \, {\left(b^{3} c^{8} - 3 \, a b^{2} c^{7} d + 3 \, a^{2} b c^{6} d^{2} - a^{3} c^{5} d^{3} + {\left(b^{3} c^{3} d^{5} - 3 \, a b^{2} c^{2} d^{6} + 3 \, a^{2} b c d^{7} - a^{3} d^{8}\right)} x^{5} + 5 \, {\left(b^{3} c^{4} d^{4} - 3 \, a b^{2} c^{3} d^{5} + 3 \, a^{2} b c^{2} d^{6} - a^{3} c d^{7}\right)} x^{4} + 10 \, {\left(b^{3} c^{5} d^{3} - 3 \, a b^{2} c^{4} d^{4} + 3 \, a^{2} b c^{3} d^{5} - a^{3} c^{2} d^{6}\right)} x^{3} + 10 \, {\left(b^{3} c^{6} d^{2} - 3 \, a b^{2} c^{5} d^{3} + 3 \, a^{2} b c^{4} d^{4} - a^{3} c^{3} d^{5}\right)} x^{2} + 5 \, {\left(b^{3} c^{7} d - 3 \, a b^{2} c^{6} d^{2} + 3 \, a^{2} b c^{5} d^{3} - a^{3} c^{4} d^{4}\right)} x\right)}}"," ",0,"6/6175*(72*b^4*d^2*x^4 + 475*a^2*b^2*c^2 - 650*a^3*b*c*d + 247*a^4*d^2 + 12*(25*b^4*c*d - a*b^3*d^2)*x^3 + (475*b^4*c^2 - 50*a*b^3*c*d + 7*a^2*b^2*d^2)*x^2 + 2*(475*a*b^3*c^2 - 500*a^2*b^2*c*d + 169*a^3*b*d^2)*x)*(b*x + a)^(1/6)*(d*x + c)^(5/6)/(b^3*c^8 - 3*a*b^2*c^7*d + 3*a^2*b*c^6*d^2 - a^3*c^5*d^3 + (b^3*c^3*d^5 - 3*a*b^2*c^2*d^6 + 3*a^2*b*c*d^7 - a^3*d^8)*x^5 + 5*(b^3*c^4*d^4 - 3*a*b^2*c^3*d^5 + 3*a^2*b*c^2*d^6 - a^3*c*d^7)*x^4 + 10*(b^3*c^5*d^3 - 3*a*b^2*c^4*d^4 + 3*a^2*b*c^3*d^5 - a^3*c^2*d^6)*x^3 + 10*(b^3*c^6*d^2 - 3*a*b^2*c^5*d^3 + 3*a^2*b*c^4*d^4 - a^3*c^3*d^5)*x^2 + 5*(b^3*c^7*d - 3*a*b^2*c^6*d^2 + 3*a^2*b*c^5*d^3 - a^3*c^4*d^4)*x)","B",0
1804,1,649,0,1.394339," ","integrate((b*x+a)^(7/6)/(d*x+c)^(37/6),x, algorithm=""fricas"")","\frac{6 \, {\left(1296 \, b^{5} d^{3} x^{5} + 14725 \, a^{2} b^{3} c^{3} - 30225 \, a^{3} b^{2} c^{2} d + 22971 \, a^{4} b c d^{2} - 6175 \, a^{5} d^{3} + 216 \, {\left(31 \, b^{5} c d^{2} - a b^{4} d^{3}\right)} x^{4} + 18 \, {\left(775 \, b^{5} c^{2} d - 62 \, a b^{4} c d^{2} + 7 \, a^{2} b^{3} d^{3}\right)} x^{3} + {\left(14725 \, b^{5} c^{3} - 2325 \, a b^{4} c^{2} d + 651 \, a^{2} b^{3} c d^{2} - 91 \, a^{3} b^{2} d^{3}\right)} x^{2} + 2 \, {\left(14725 \, a b^{4} c^{3} - 23250 \, a^{2} b^{3} c^{2} d + 15717 \, a^{3} b^{2} c d^{2} - 3952 \, a^{4} b d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{191425 \, {\left(b^{4} c^{10} - 4 \, a b^{3} c^{9} d + 6 \, a^{2} b^{2} c^{8} d^{2} - 4 \, a^{3} b c^{7} d^{3} + a^{4} c^{6} d^{4} + {\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)} x^{6} + 6 \, {\left(b^{4} c^{5} d^{5} - 4 \, a b^{3} c^{4} d^{6} + 6 \, a^{2} b^{2} c^{3} d^{7} - 4 \, a^{3} b c^{2} d^{8} + a^{4} c d^{9}\right)} x^{5} + 15 \, {\left(b^{4} c^{6} d^{4} - 4 \, a b^{3} c^{5} d^{5} + 6 \, a^{2} b^{2} c^{4} d^{6} - 4 \, a^{3} b c^{3} d^{7} + a^{4} c^{2} d^{8}\right)} x^{4} + 20 \, {\left(b^{4} c^{7} d^{3} - 4 \, a b^{3} c^{6} d^{4} + 6 \, a^{2} b^{2} c^{5} d^{5} - 4 \, a^{3} b c^{4} d^{6} + a^{4} c^{3} d^{7}\right)} x^{3} + 15 \, {\left(b^{4} c^{8} d^{2} - 4 \, a b^{3} c^{7} d^{3} + 6 \, a^{2} b^{2} c^{6} d^{4} - 4 \, a^{3} b c^{5} d^{5} + a^{4} c^{4} d^{6}\right)} x^{2} + 6 \, {\left(b^{4} c^{9} d - 4 \, a b^{3} c^{8} d^{2} + 6 \, a^{2} b^{2} c^{7} d^{3} - 4 \, a^{3} b c^{6} d^{4} + a^{4} c^{5} d^{5}\right)} x\right)}}"," ",0,"6/191425*(1296*b^5*d^3*x^5 + 14725*a^2*b^3*c^3 - 30225*a^3*b^2*c^2*d + 22971*a^4*b*c*d^2 - 6175*a^5*d^3 + 216*(31*b^5*c*d^2 - a*b^4*d^3)*x^4 + 18*(775*b^5*c^2*d - 62*a*b^4*c*d^2 + 7*a^2*b^3*d^3)*x^3 + (14725*b^5*c^3 - 2325*a*b^4*c^2*d + 651*a^2*b^3*c*d^2 - 91*a^3*b^2*d^3)*x^2 + 2*(14725*a*b^4*c^3 - 23250*a^2*b^3*c^2*d + 15717*a^3*b^2*c*d^2 - 3952*a^4*b*d^3)*x)*(b*x + a)^(1/6)*(d*x + c)^(5/6)/(b^4*c^10 - 4*a*b^3*c^9*d + 6*a^2*b^2*c^8*d^2 - 4*a^3*b*c^7*d^3 + a^4*c^6*d^4 + (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)*x^6 + 6*(b^4*c^5*d^5 - 4*a*b^3*c^4*d^6 + 6*a^2*b^2*c^3*d^7 - 4*a^3*b*c^2*d^8 + a^4*c*d^9)*x^5 + 15*(b^4*c^6*d^4 - 4*a*b^3*c^5*d^5 + 6*a^2*b^2*c^4*d^6 - 4*a^3*b*c^3*d^7 + a^4*c^2*d^8)*x^4 + 20*(b^4*c^7*d^3 - 4*a*b^3*c^6*d^4 + 6*a^2*b^2*c^5*d^5 - 4*a^3*b*c^4*d^6 + a^4*c^3*d^7)*x^3 + 15*(b^4*c^8*d^2 - 4*a*b^3*c^7*d^3 + 6*a^2*b^2*c^6*d^4 - 4*a^3*b*c^5*d^5 + a^4*c^4*d^6)*x^2 + 6*(b^4*c^9*d - 4*a*b^3*c^8*d^2 + 6*a^2*b^2*c^7*d^3 - 4*a^3*b*c^6*d^4 + a^4*c^5*d^5)*x)","B",0
1805,1,5633,0,2.014318," ","integrate((d*x+c)^(7/6)/(b*x+a)^(1/6),x, algorithm=""fricas"")","-\frac{28 \, \sqrt{3} b^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b^{13} c^{2} d^{4} - 2 \, a b^{12} c d^{5} + a^{2} b^{11} d^{6}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{12} d^{4} x + a b^{11} d^{4}\right)} \sqrt{\frac{{\left(b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{6}} + {\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(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b^{5} d^{2} x + a b^{4} d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(a b^{12} c^{12} - 12 \, a^{2} b^{11} c^{11} d + 66 \, a^{3} b^{10} c^{10} d^{2} - 220 \, a^{4} b^{9} c^{9} d^{3} + 495 \, a^{5} b^{8} c^{8} d^{4} - 792 \, a^{6} b^{7} c^{7} d^{5} + 924 \, a^{7} b^{6} c^{6} d^{6} - 792 \, a^{8} b^{5} c^{5} d^{7} + 495 \, a^{9} b^{4} c^{4} d^{8} - 220 \, a^{10} b^{3} c^{3} d^{9} + 66 \, a^{11} b^{2} c^{2} d^{10} - 12 \, a^{12} b c d^{11} + a^{13} d^{12} + {\left(b^{13} c^{12} - 12 \, a b^{12} c^{11} d + 66 \, a^{2} b^{11} c^{10} d^{2} - 220 \, a^{3} b^{10} c^{9} d^{3} + 495 \, a^{4} b^{9} c^{8} d^{4} - 792 \, a^{5} b^{8} c^{7} d^{5} + 924 \, a^{6} b^{7} c^{6} d^{6} - 792 \, a^{7} b^{6} c^{5} d^{7} + 495 \, a^{8} b^{5} c^{4} d^{8} - 220 \, a^{9} b^{4} c^{3} d^{9} + 66 \, a^{10} b^{3} c^{2} d^{10} - 12 \, a^{11} b^{2} c d^{11} + a^{12} b d^{12}\right)} x\right)}}{3 \, {\left(a b^{12} c^{12} - 12 \, a^{2} b^{11} c^{11} d + 66 \, a^{3} b^{10} c^{10} d^{2} - 220 \, a^{4} b^{9} c^{9} d^{3} + 495 \, a^{5} b^{8} c^{8} d^{4} - 792 \, a^{6} b^{7} c^{7} d^{5} + 924 \, a^{7} b^{6} c^{6} d^{6} - 792 \, a^{8} b^{5} c^{5} d^{7} + 495 \, a^{9} b^{4} c^{4} d^{8} - 220 \, a^{10} b^{3} c^{3} d^{9} + 66 \, a^{11} b^{2} c^{2} d^{10} - 12 \, a^{12} b c d^{11} + a^{13} d^{12} + {\left(b^{13} c^{12} - 12 \, a b^{12} c^{11} d + 66 \, a^{2} b^{11} c^{10} d^{2} - 220 \, a^{3} b^{10} c^{9} d^{3} + 495 \, a^{4} b^{9} c^{8} d^{4} - 792 \, a^{5} b^{8} c^{7} d^{5} + 924 \, a^{6} b^{7} c^{6} d^{6} - 792 \, a^{7} b^{6} c^{5} d^{7} + 495 \, a^{8} b^{5} c^{4} d^{8} - 220 \, a^{9} b^{4} c^{3} d^{9} + 66 \, a^{10} b^{3} c^{2} d^{10} - 12 \, a^{11} b^{2} c d^{11} + a^{12} b d^{12}\right)} x\right)}}\right) + 28 \, \sqrt{3} b^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b^{13} c^{2} d^{4} - 2 \, a b^{12} c d^{5} + a^{2} b^{11} d^{6}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{12} d^{4} x + a b^{11} d^{4}\right)} \sqrt{-\frac{{\left(b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{6}} - {\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(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - {\left(b^{5} d^{2} x + a b^{4} d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(a b^{12} c^{12} - 12 \, a^{2} b^{11} c^{11} d + 66 \, a^{3} b^{10} c^{10} d^{2} - 220 \, a^{4} b^{9} c^{9} d^{3} + 495 \, a^{5} b^{8} c^{8} d^{4} - 792 \, a^{6} b^{7} c^{7} d^{5} + 924 \, a^{7} b^{6} c^{6} d^{6} - 792 \, a^{8} b^{5} c^{5} d^{7} + 495 \, a^{9} b^{4} c^{4} d^{8} - 220 \, a^{10} b^{3} c^{3} d^{9} + 66 \, a^{11} b^{2} c^{2} d^{10} - 12 \, a^{12} b c d^{11} + a^{13} d^{12} + {\left(b^{13} c^{12} - 12 \, a b^{12} c^{11} d + 66 \, a^{2} b^{11} c^{10} d^{2} - 220 \, a^{3} b^{10} c^{9} d^{3} + 495 \, a^{4} b^{9} c^{8} d^{4} - 792 \, a^{5} b^{8} c^{7} d^{5} + 924 \, a^{6} b^{7} c^{6} d^{6} - 792 \, a^{7} b^{6} c^{5} d^{7} + 495 \, a^{8} b^{5} c^{4} d^{8} - 220 \, a^{9} b^{4} c^{3} d^{9} + 66 \, a^{10} b^{3} c^{2} d^{10} - 12 \, a^{11} b^{2} c d^{11} + a^{12} b d^{12}\right)} x\right)}}{3 \, {\left(a b^{12} c^{12} - 12 \, a^{2} b^{11} c^{11} d + 66 \, a^{3} b^{10} c^{10} d^{2} - 220 \, a^{4} b^{9} c^{9} d^{3} + 495 \, a^{5} b^{8} c^{8} d^{4} - 792 \, a^{6} b^{7} c^{7} d^{5} + 924 \, a^{7} b^{6} c^{6} d^{6} - 792 \, a^{8} b^{5} c^{5} d^{7} + 495 \, a^{9} b^{4} c^{4} d^{8} - 220 \, a^{10} b^{3} c^{3} d^{9} + 66 \, a^{11} b^{2} c^{2} d^{10} - 12 \, a^{12} b c d^{11} + a^{13} d^{12} + {\left(b^{13} c^{12} - 12 \, a b^{12} c^{11} d + 66 \, a^{2} b^{11} c^{10} d^{2} - 220 \, a^{3} b^{10} c^{9} d^{3} + 495 \, a^{4} b^{9} c^{8} d^{4} - 792 \, a^{5} b^{8} c^{7} d^{5} + 924 \, a^{6} b^{7} c^{6} d^{6} - 792 \, a^{7} b^{6} c^{5} d^{7} + 495 \, a^{8} b^{5} c^{4} d^{8} - 220 \, a^{9} b^{4} c^{3} d^{9} + 66 \, a^{10} b^{3} c^{2} d^{10} - 12 \, a^{11} b^{2} c d^{11} + a^{12} b d^{12}\right)} x\right)}}\right) - 7 \, b^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{49 \, {\left({\left(b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{6}} + {\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(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b^{5} d^{2} x + a b^{4} d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{3}}\right)}}{b x + a}\right) + 7 \, b^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{49 \, {\left({\left(b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{6}} - {\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(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - {\left(b^{5} d^{2} x + a b^{4} d^{2}\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{3}}\right)}}{b x + a}\right) - 14 \, b^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{7 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} + {\left(b^{3} d x + a b^{2} d\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{6}}\right)}}{b x + a}\right) + 14 \, b^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{7 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} - {\left(b^{3} d x + a b^{2} d\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{13} d^{5}}\right)^{\frac{1}{6}}\right)}}{b x + a}\right) - 12 \, {\left(6 \, b d x + 13 \, b c - 7 \, a d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{144 \, b^{2}}"," ",0,"-1/144*(28*sqrt(3)*b^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b^13*c^2*d^4 - 2*a*b^12*c*d^5 + a^2*b^11*d^6)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(5/6) - 2*sqrt(3)*(b^12*d^4*x + a*b^11*d^4)*sqrt(((b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/6) + (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)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b^5*d^2*x + a*b^4*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/3))/(b*x + a))*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(5/6) + sqrt(3)*(a*b^12*c^12 - 12*a^2*b^11*c^11*d + 66*a^3*b^10*c^10*d^2 - 220*a^4*b^9*c^9*d^3 + 495*a^5*b^8*c^8*d^4 - 792*a^6*b^7*c^7*d^5 + 924*a^7*b^6*c^6*d^6 - 792*a^8*b^5*c^5*d^7 + 495*a^9*b^4*c^4*d^8 - 220*a^10*b^3*c^3*d^9 + 66*a^11*b^2*c^2*d^10 - 12*a^12*b*c*d^11 + a^13*d^12 + (b^13*c^12 - 12*a*b^12*c^11*d + 66*a^2*b^11*c^10*d^2 - 220*a^3*b^10*c^9*d^3 + 495*a^4*b^9*c^8*d^4 - 792*a^5*b^8*c^7*d^5 + 924*a^6*b^7*c^6*d^6 - 792*a^7*b^6*c^5*d^7 + 495*a^8*b^5*c^4*d^8 - 220*a^9*b^4*c^3*d^9 + 66*a^10*b^3*c^2*d^10 - 12*a^11*b^2*c*d^11 + a^12*b*d^12)*x))/(a*b^12*c^12 - 12*a^2*b^11*c^11*d + 66*a^3*b^10*c^10*d^2 - 220*a^4*b^9*c^9*d^3 + 495*a^5*b^8*c^8*d^4 - 792*a^6*b^7*c^7*d^5 + 924*a^7*b^6*c^6*d^6 - 792*a^8*b^5*c^5*d^7 + 495*a^9*b^4*c^4*d^8 - 220*a^10*b^3*c^3*d^9 + 66*a^11*b^2*c^2*d^10 - 12*a^12*b*c*d^11 + a^13*d^12 + (b^13*c^12 - 12*a*b^12*c^11*d + 66*a^2*b^11*c^10*d^2 - 220*a^3*b^10*c^9*d^3 + 495*a^4*b^9*c^8*d^4 - 792*a^5*b^8*c^7*d^5 + 924*a^6*b^7*c^6*d^6 - 792*a^7*b^6*c^5*d^7 + 495*a^8*b^5*c^4*d^8 - 220*a^9*b^4*c^3*d^9 + 66*a^10*b^3*c^2*d^10 - 12*a^11*b^2*c*d^11 + a^12*b*d^12)*x)) + 28*sqrt(3)*b^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b^13*c^2*d^4 - 2*a*b^12*c*d^5 + a^2*b^11*d^6)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(5/6) - 2*sqrt(3)*(b^12*d^4*x + a*b^11*d^4)*sqrt(-((b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/6) - (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)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b^5*d^2*x + a*b^4*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/3))/(b*x + a))*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(5/6) - sqrt(3)*(a*b^12*c^12 - 12*a^2*b^11*c^11*d + 66*a^3*b^10*c^10*d^2 - 220*a^4*b^9*c^9*d^3 + 495*a^5*b^8*c^8*d^4 - 792*a^6*b^7*c^7*d^5 + 924*a^7*b^6*c^6*d^6 - 792*a^8*b^5*c^5*d^7 + 495*a^9*b^4*c^4*d^8 - 220*a^10*b^3*c^3*d^9 + 66*a^11*b^2*c^2*d^10 - 12*a^12*b*c*d^11 + a^13*d^12 + (b^13*c^12 - 12*a*b^12*c^11*d + 66*a^2*b^11*c^10*d^2 - 220*a^3*b^10*c^9*d^3 + 495*a^4*b^9*c^8*d^4 - 792*a^5*b^8*c^7*d^5 + 924*a^6*b^7*c^6*d^6 - 792*a^7*b^6*c^5*d^7 + 495*a^8*b^5*c^4*d^8 - 220*a^9*b^4*c^3*d^9 + 66*a^10*b^3*c^2*d^10 - 12*a^11*b^2*c*d^11 + a^12*b*d^12)*x))/(a*b^12*c^12 - 12*a^2*b^11*c^11*d + 66*a^3*b^10*c^10*d^2 - 220*a^4*b^9*c^9*d^3 + 495*a^5*b^8*c^8*d^4 - 792*a^6*b^7*c^7*d^5 + 924*a^7*b^6*c^6*d^6 - 792*a^8*b^5*c^5*d^7 + 495*a^9*b^4*c^4*d^8 - 220*a^10*b^3*c^3*d^9 + 66*a^11*b^2*c^2*d^10 - 12*a^12*b*c*d^11 + a^13*d^12 + (b^13*c^12 - 12*a*b^12*c^11*d + 66*a^2*b^11*c^10*d^2 - 220*a^3*b^10*c^9*d^3 + 495*a^4*b^9*c^8*d^4 - 792*a^5*b^8*c^7*d^5 + 924*a^6*b^7*c^6*d^6 - 792*a^7*b^6*c^5*d^7 + 495*a^8*b^5*c^4*d^8 - 220*a^9*b^4*c^3*d^9 + 66*a^10*b^3*c^2*d^10 - 12*a^11*b^2*c*d^11 + a^12*b*d^12)*x)) - 7*b^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/6)*log(49*((b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/6) + (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)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b^5*d^2*x + a*b^4*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/3))/(b*x + a)) + 7*b^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/6)*log(-49*((b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/6) - (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)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b^5*d^2*x + a*b^4*d^2)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/3))/(b*x + a)) - 14*b^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/6)*log(7*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6) + (b^3*d*x + a*b^2*d)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/6))/(b*x + a)) + 14*b^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/6)*log(7*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6) - (b^3*d*x + a*b^2*d)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^13*d^5))^(1/6))/(b*x + a)) - 12*(6*b*d*x + 13*b*c - 7*a*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6))/b^2","B",0
1806,1,3025,0,1.849962," ","integrate((d*x+c)^(1/6)/(b*x+a)^(1/6),x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} b \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{7} c d^{4} - a b^{6} d^{5}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{5}{6}} + 2 \, \sqrt{3} {\left(b^{7} d^{4} x + a b^{6} d^{4}\right)} \sqrt{\frac{{\left(b^{2} c d - a b d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{6}} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b^{3} d^{2} x + a b^{2} d^{2}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(a b^{6} c^{6} - 6 \, a^{2} b^{5} c^{5} d + 15 \, a^{3} b^{4} c^{4} d^{2} - 20 \, a^{4} b^{3} c^{3} d^{3} + 15 \, a^{5} b^{2} c^{2} d^{4} - 6 \, a^{6} b c d^{5} + a^{7} d^{6} + {\left(b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}\right)} x\right)}}{3 \, {\left(a b^{6} c^{6} - 6 \, a^{2} b^{5} c^{5} d + 15 \, a^{3} b^{4} c^{4} d^{2} - 20 \, a^{4} b^{3} c^{3} d^{3} + 15 \, a^{5} b^{2} c^{2} d^{4} - 6 \, a^{6} b c d^{5} + a^{7} d^{6} + {\left(b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}\right)} x\right)}}\right) + 4 \, \sqrt{3} b \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{7} c d^{4} - a b^{6} d^{5}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{5}{6}} + 2 \, \sqrt{3} {\left(b^{7} d^{4} x + a b^{6} d^{4}\right)} \sqrt{-\frac{{\left(b^{2} c d - a b d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{6}} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - {\left(b^{3} d^{2} x + a b^{2} d^{2}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(a b^{6} c^{6} - 6 \, a^{2} b^{5} c^{5} d + 15 \, a^{3} b^{4} c^{4} d^{2} - 20 \, a^{4} b^{3} c^{3} d^{3} + 15 \, a^{5} b^{2} c^{2} d^{4} - 6 \, a^{6} b c d^{5} + a^{7} d^{6} + {\left(b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}\right)} x\right)}}{3 \, {\left(a b^{6} c^{6} - 6 \, a^{2} b^{5} c^{5} d + 15 \, a^{3} b^{4} c^{4} d^{2} - 20 \, a^{4} b^{3} c^{3} d^{3} + 15 \, a^{5} b^{2} c^{2} d^{4} - 6 \, a^{6} b c d^{5} + a^{7} d^{6} + {\left(b^{7} c^{6} - 6 \, a b^{6} c^{5} d + 15 \, a^{2} b^{5} c^{4} d^{2} - 20 \, a^{3} b^{4} c^{3} d^{3} + 15 \, a^{4} b^{3} c^{2} d^{4} - 6 \, a^{5} b^{2} c d^{5} + a^{6} b d^{6}\right)} x\right)}}\right) + b \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{{\left(b^{2} c d - a b d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{6}} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b^{3} d^{2} x + a b^{2} d^{2}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{3}}}{b x + a}\right) - b \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left(b^{2} c d - a b d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{6}} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - {\left(b^{3} d^{2} x + a b^{2} d^{2}\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{3}}}{b x + a}\right) + 2 \, b \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} + {\left(b^{2} d x + a b d\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{6}}}{b x + a}\right) - 2 \, b \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} - {\left(b^{2} d x + a b d\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{7} d^{5}}\right)^{\frac{1}{6}}}{b x + a}\right) + 12 \, {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{12 \, b}"," ",0,"1/12*(4*sqrt(3)*b*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/6)*arctan(1/3*(2*sqrt(3)*(b^7*c*d^4 - a*b^6*d^5)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(5/6) + 2*sqrt(3)*(b^7*d^4*x + a*b^6*d^4)*sqrt(((b^2*c*d - a*b*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/6) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b^3*d^2*x + a*b^2*d^2)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/3))/(b*x + a))*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(5/6) + sqrt(3)*(a*b^6*c^6 - 6*a^2*b^5*c^5*d + 15*a^3*b^4*c^4*d^2 - 20*a^4*b^3*c^3*d^3 + 15*a^5*b^2*c^2*d^4 - 6*a^6*b*c*d^5 + a^7*d^6 + (b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)*x))/(a*b^6*c^6 - 6*a^2*b^5*c^5*d + 15*a^3*b^4*c^4*d^2 - 20*a^4*b^3*c^3*d^3 + 15*a^5*b^2*c^2*d^4 - 6*a^6*b*c*d^5 + a^7*d^6 + (b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)*x)) + 4*sqrt(3)*b*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/6)*arctan(1/3*(2*sqrt(3)*(b^7*c*d^4 - a*b^6*d^5)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(5/6) + 2*sqrt(3)*(b^7*d^4*x + a*b^6*d^4)*sqrt(-((b^2*c*d - a*b*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/6) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b^3*d^2*x + a*b^2*d^2)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/3))/(b*x + a))*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(5/6) - sqrt(3)*(a*b^6*c^6 - 6*a^2*b^5*c^5*d + 15*a^3*b^4*c^4*d^2 - 20*a^4*b^3*c^3*d^3 + 15*a^5*b^2*c^2*d^4 - 6*a^6*b*c*d^5 + a^7*d^6 + (b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)*x))/(a*b^6*c^6 - 6*a^2*b^5*c^5*d + 15*a^3*b^4*c^4*d^2 - 20*a^4*b^3*c^3*d^3 + 15*a^5*b^2*c^2*d^4 - 6*a^6*b*c*d^5 + a^7*d^6 + (b^7*c^6 - 6*a*b^6*c^5*d + 15*a^2*b^5*c^4*d^2 - 20*a^3*b^4*c^3*d^3 + 15*a^4*b^3*c^2*d^4 - 6*a^5*b^2*c*d^5 + a^6*b*d^6)*x)) + b*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/6)*log(((b^2*c*d - a*b*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/6) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b^3*d^2*x + a*b^2*d^2)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/3))/(b*x + a)) - b*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/6)*log(-((b^2*c*d - a*b*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/6) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b^3*d^2*x + a*b^2*d^2)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/3))/(b*x + a)) + 2*b*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/6)*log(-((b*c - a*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6) + (b^2*d*x + a*b*d)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/6))/(b*x + a)) - 2*b*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/6)*log(-((b*c - a*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6) - (b^2*d*x + a*b*d)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^7*d^5))^(1/6))/(b*x + a)) + 12*(b*x + a)^(5/6)*(d*x + c)^(1/6))/b","B",0
1807,1,620,0,0.932038," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(5/6),x, algorithm=""fricas"")","-2 \, \sqrt{3} \left(\frac{1}{b d^{5}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b d^{4} \left(\frac{1}{b d^{5}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{2} d^{4} x + a b d^{4}\right)} \sqrt{\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} d \left(\frac{1}{b d^{5}}\right)^{\frac{1}{6}} + {\left(b d^{2} x + a d^{2}\right)} \left(\frac{1}{b d^{5}}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{b x + a}} \left(\frac{1}{b d^{5}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(b x + a\right)}}{3 \, {\left(b x + a\right)}}\right) - 2 \, \sqrt{3} \left(\frac{1}{b d^{5}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b d^{4} \left(\frac{1}{b d^{5}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{2} d^{4} x + a b d^{4}\right)} \sqrt{-\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} d \left(\frac{1}{b d^{5}}\right)^{\frac{1}{6}} - {\left(b d^{2} x + a d^{2}\right)} \left(\frac{1}{b d^{5}}\right)^{\frac{1}{3}} - {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{b x + a}} \left(\frac{1}{b d^{5}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(b x + a\right)}}{3 \, {\left(b x + a\right)}}\right) + \frac{1}{2} \, \left(\frac{1}{b d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{4 \, {\left({\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} d \left(\frac{1}{b d^{5}}\right)^{\frac{1}{6}} + {\left(b d^{2} x + a d^{2}\right)} \left(\frac{1}{b d^{5}}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\right)}}{b x + a}\right) - \frac{1}{2} \, \left(\frac{1}{b d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{4 \, {\left({\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} d \left(\frac{1}{b d^{5}}\right)^{\frac{1}{6}} - {\left(b d^{2} x + a d^{2}\right)} \left(\frac{1}{b d^{5}}\right)^{\frac{1}{3}} - {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\right)}}{b x + a}\right) + \left(\frac{1}{b d^{5}}\right)^{\frac{1}{6}} \log\left(\frac{{\left(b d x + a d\right)} \left(\frac{1}{b d^{5}}\right)^{\frac{1}{6}} + {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{b x + a}\right) - \left(\frac{1}{b d^{5}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left(b d x + a d\right)} \left(\frac{1}{b d^{5}}\right)^{\frac{1}{6}} - {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{b x + a}\right)"," ",0,"-2*sqrt(3)*(1/(b*d^5))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*b*d^4*(1/(b*d^5))^(5/6) - 2*sqrt(3)*(b^2*d^4*x + a*b*d^4)*sqrt(((b*x + a)^(5/6)*(d*x + c)^(1/6)*d*(1/(b*d^5))^(1/6) + (b*d^2*x + a*d^2)*(1/(b*d^5))^(1/3) + (b*x + a)^(2/3)*(d*x + c)^(1/3))/(b*x + a))*(1/(b*d^5))^(5/6) + sqrt(3)*(b*x + a))/(b*x + a)) - 2*sqrt(3)*(1/(b*d^5))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*b*d^4*(1/(b*d^5))^(5/6) - 2*sqrt(3)*(b^2*d^4*x + a*b*d^4)*sqrt(-((b*x + a)^(5/6)*(d*x + c)^(1/6)*d*(1/(b*d^5))^(1/6) - (b*d^2*x + a*d^2)*(1/(b*d^5))^(1/3) - (b*x + a)^(2/3)*(d*x + c)^(1/3))/(b*x + a))*(1/(b*d^5))^(5/6) - sqrt(3)*(b*x + a))/(b*x + a)) + 1/2*(1/(b*d^5))^(1/6)*log(4*((b*x + a)^(5/6)*(d*x + c)^(1/6)*d*(1/(b*d^5))^(1/6) + (b*d^2*x + a*d^2)*(1/(b*d^5))^(1/3) + (b*x + a)^(2/3)*(d*x + c)^(1/3))/(b*x + a)) - 1/2*(1/(b*d^5))^(1/6)*log(-4*((b*x + a)^(5/6)*(d*x + c)^(1/6)*d*(1/(b*d^5))^(1/6) - (b*d^2*x + a*d^2)*(1/(b*d^5))^(1/3) - (b*x + a)^(2/3)*(d*x + c)^(1/3))/(b*x + a)) + (1/(b*d^5))^(1/6)*log(((b*d*x + a*d)*(1/(b*d^5))^(1/6) + (b*x + a)^(5/6)*(d*x + c)^(1/6))/(b*x + a)) - (1/(b*d^5))^(1/6)*log(-((b*d*x + a*d)*(1/(b*d^5))^(1/6) - (b*x + a)^(5/6)*(d*x + c)^(1/6))/(b*x + a))","B",0
1808,1,42,0,0.699952," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(11/6),x, algorithm=""fricas"")","\frac{6 \, {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{5 \, {\left(b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x\right)}}"," ",0,"6/5*(b*x + a)^(5/6)*(d*x + c)^(1/6)/(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)","A",0
1809,1,118,0,1.381170," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(17/6),x, algorithm=""fricas"")","\frac{6 \, {\left(6 \, b d x + 11 \, b c - 5 \, a d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{55 \, {\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,"6/55*(6*b*d*x + 11*b*c - 5*a*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6)/(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
1810,1,252,0,1.371589," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(23/6),x, algorithm=""fricas"")","\frac{6 \, {\left(72 \, b^{2} d^{2} x^{2} + 187 \, b^{2} c^{2} - 170 \, a b c d + 55 \, a^{2} d^{2} + 12 \, {\left(17 \, b^{2} c d - 5 \, a b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{935 \, {\left(b^{3} c^{6} - 3 \, a b^{2} c^{5} d + 3 \, a^{2} b c^{4} d^{2} - a^{3} c^{3} d^{3} + {\left(b^{3} c^{3} d^{3} - 3 \, a b^{2} c^{2} d^{4} + 3 \, a^{2} b c d^{5} - a^{3} d^{6}\right)} x^{3} + 3 \, {\left(b^{3} c^{4} d^{2} - 3 \, a b^{2} c^{3} d^{3} + 3 \, a^{2} b c^{2} d^{4} - a^{3} c d^{5}\right)} x^{2} + 3 \, {\left(b^{3} c^{5} d - 3 \, a b^{2} c^{4} d^{2} + 3 \, a^{2} b c^{3} d^{3} - a^{3} c^{2} d^{4}\right)} x\right)}}"," ",0,"6/935*(72*b^2*d^2*x^2 + 187*b^2*c^2 - 170*a*b*c*d + 55*a^2*d^2 + 12*(17*b^2*c*d - 5*a*b*d^2)*x)*(b*x + a)^(5/6)*(d*x + c)^(1/6)/(b^3*c^6 - 3*a*b^2*c^5*d + 3*a^2*b*c^4*d^2 - a^3*c^3*d^3 + (b^3*c^3*d^3 - 3*a*b^2*c^2*d^4 + 3*a^2*b*c*d^5 - a^3*d^6)*x^3 + 3*(b^3*c^4*d^2 - 3*a*b^2*c^3*d^3 + 3*a^2*b*c^2*d^4 - a^3*c*d^5)*x^2 + 3*(b^3*c^5*d - 3*a*b^2*c^4*d^2 + 3*a^2*b*c^3*d^3 - a^3*c^2*d^4)*x)","B",0
1811,1,420,0,1.436739," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(29/6),x, algorithm=""fricas"")","\frac{6 \, {\left(1296 \, b^{3} d^{3} x^{3} + 4301 \, b^{3} c^{3} - 5865 \, a b^{2} c^{2} d + 3795 \, a^{2} b c d^{2} - 935 \, a^{3} d^{3} + 216 \, {\left(23 \, b^{3} c d^{2} - 5 \, a b^{2} d^{3}\right)} x^{2} + 18 \, {\left(391 \, b^{3} c^{2} d - 230 \, a b^{2} c d^{2} + 55 \, a^{2} b d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{21505 \, {\left(b^{4} c^{8} - 4 \, a b^{3} c^{7} d + 6 \, a^{2} b^{2} c^{6} d^{2} - 4 \, a^{3} b c^{5} d^{3} + a^{4} c^{4} d^{4} + {\left(b^{4} c^{4} d^{4} - 4 \, a b^{3} c^{3} d^{5} + 6 \, a^{2} b^{2} c^{2} d^{6} - 4 \, a^{3} b c d^{7} + a^{4} d^{8}\right)} x^{4} + 4 \, {\left(b^{4} c^{5} d^{3} - 4 \, a b^{3} c^{4} d^{4} + 6 \, a^{2} b^{2} c^{3} d^{5} - 4 \, a^{3} b c^{2} d^{6} + a^{4} c d^{7}\right)} x^{3} + 6 \, {\left(b^{4} c^{6} d^{2} - 4 \, a b^{3} c^{5} d^{3} + 6 \, a^{2} b^{2} c^{4} d^{4} - 4 \, a^{3} b c^{3} d^{5} + a^{4} c^{2} d^{6}\right)} x^{2} + 4 \, {\left(b^{4} c^{7} d - 4 \, a b^{3} c^{6} d^{2} + 6 \, a^{2} b^{2} c^{5} d^{3} - 4 \, a^{3} b c^{4} d^{4} + a^{4} c^{3} d^{5}\right)} x\right)}}"," ",0,"6/21505*(1296*b^3*d^3*x^3 + 4301*b^3*c^3 - 5865*a*b^2*c^2*d + 3795*a^2*b*c*d^2 - 935*a^3*d^3 + 216*(23*b^3*c*d^2 - 5*a*b^2*d^3)*x^2 + 18*(391*b^3*c^2*d - 230*a*b^2*c*d^2 + 55*a^2*b*d^3)*x)*(b*x + a)^(5/6)*(d*x + c)^(1/6)/(b^4*c^8 - 4*a*b^3*c^7*d + 6*a^2*b^2*c^6*d^2 - 4*a^3*b*c^5*d^3 + a^4*c^4*d^4 + (b^4*c^4*d^4 - 4*a*b^3*c^3*d^5 + 6*a^2*b^2*c^2*d^6 - 4*a^3*b*c*d^7 + a^4*d^8)*x^4 + 4*(b^4*c^5*d^3 - 4*a*b^3*c^4*d^4 + 6*a^2*b^2*c^3*d^5 - 4*a^3*b*c^2*d^6 + a^4*c*d^7)*x^3 + 6*(b^4*c^6*d^2 - 4*a*b^3*c^5*d^3 + 6*a^2*b^2*c^4*d^4 - 4*a^3*b*c^3*d^5 + a^4*c^2*d^6)*x^2 + 4*(b^4*c^7*d - 4*a*b^3*c^6*d^2 + 6*a^2*b^2*c^5*d^3 - 4*a^3*b*c^4*d^4 + a^4*c^3*d^5)*x)","B",0
1812,0,0,0,2.603780," ","integrate((d*x+c)^(11/6)/(b*x+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{\frac{11}{6}}}{{\left(b x + a\right)}^{\frac{1}{6}}}, x\right)"," ",0,"integral((d*x + c)^(11/6)/(b*x + a)^(1/6), x)","F",0
1813,0,0,0,2.520605," ","integrate((d*x+c)^(5/6)/(b*x+a)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{\frac{5}{6}}}{{\left(b x + a\right)}^{\frac{1}{6}}}, x\right)"," ",0,"integral((d*x + c)^(5/6)/(b*x + a)^(1/6), x)","F",0
1814,0,0,0,3.104892," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1815,0,0,0,2.622263," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{b d^{2} x^{3} + a c^{2} + {\left(2 \, b c d + a d^{2}\right)} x^{2} + {\left(b c^{2} + 2 \, a c d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6)/(b*d^2*x^3 + a*c^2 + (2*b*c*d + a*d^2)*x^2 + (b*c^2 + 2*a*c*d)*x), x)","F",0
1816,0,0,0,2.154510," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(13/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{b d^{3} x^{4} + a c^{3} + {\left(3 \, b c d^{2} + a d^{3}\right)} x^{3} + 3 \, {\left(b c^{2} d + a c d^{2}\right)} x^{2} + {\left(b c^{3} + 3 \, a c^{2} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6)/(b*d^3*x^4 + a*c^3 + (3*b*c*d^2 + a*d^3)*x^3 + 3*(b*c^2*d + a*c*d^2)*x^2 + (b*c^3 + 3*a*c^2*d)*x), x)","F",0
1817,0,0,0,3.051109," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(19/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{b d^{4} x^{5} + a c^{4} + {\left(4 \, b c d^{3} + a d^{4}\right)} x^{4} + 2 \, {\left(3 \, b c^{2} d^{2} + 2 \, a c d^{3}\right)} x^{3} + 2 \, {\left(2 \, b c^{3} d + 3 \, a c^{2} d^{2}\right)} x^{2} + {\left(b c^{4} + 4 \, a c^{3} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6)/(b*d^4*x^5 + a*c^4 + (4*b*c*d^3 + a*d^4)*x^4 + 2*(3*b*c^2*d^2 + 2*a*c*d^3)*x^3 + 2*(2*b*c^3*d + 3*a*c^2*d^2)*x^2 + (b*c^4 + 4*a*c^3*d)*x), x)","F",0
1818,0,0,0,1.617206," ","integrate((d*x+c)^(13/6)/(b*x+a)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} {\left(d x + c\right)}^{\frac{1}{6}}}{{\left(b x + a\right)}^{\frac{5}{6}}}, x\right)"," ",0,"integral((d^2*x^2 + 2*c*d*x + c^2)*(d*x + c)^(1/6)/(b*x + a)^(5/6), x)","F",0
1819,0,0,0,1.795583," ","integrate((d*x+c)^(7/6)/(b*x+a)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{\frac{7}{6}}}{{\left(b x + a\right)}^{\frac{5}{6}}}, x\right)"," ",0,"integral((d*x + c)^(7/6)/(b*x + a)^(5/6), x)","F",0
1820,0,0,0,1.297505," ","integrate((d*x+c)^(1/6)/(b*x+a)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{\frac{1}{6}}}{{\left(b x + a\right)}^{\frac{5}{6}}}, x\right)"," ",0,"integral((d*x + c)^(1/6)/(b*x + a)^(5/6), x)","F",0
1821,0,0,0,1.633156," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(5/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(1/6)*(d*x + c)^(1/6)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
1822,0,0,0,1.414650," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(11/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{b d^{2} x^{3} + a c^{2} + {\left(2 \, b c d + a d^{2}\right)} x^{2} + {\left(b c^{2} + 2 \, a c d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(1/6)*(d*x + c)^(1/6)/(b*d^2*x^3 + a*c^2 + (2*b*c*d + a*d^2)*x^2 + (b*c^2 + 2*a*c*d)*x), x)","F",0
1823,0,0,0,1.464819," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(17/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{b d^{3} x^{4} + a c^{3} + {\left(3 \, b c d^{2} + a d^{3}\right)} x^{3} + 3 \, {\left(b c^{2} d + a c d^{2}\right)} x^{2} + {\left(b c^{3} + 3 \, a c^{2} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(1/6)*(d*x + c)^(1/6)/(b*d^3*x^4 + a*c^3 + (3*b*c*d^2 + a*d^3)*x^3 + 3*(b*c^2*d + a*c*d^2)*x^2 + (b*c^3 + 3*a*c^2*d)*x), x)","F",0
1824,1,5591,0,2.183212," ","integrate((d*x+c)^(11/6)/(b*x+a)^(5/6),x, algorithm=""fricas"")","-\frac{220 \, \sqrt{3} b^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b^{16} c^{2} d - 2 \, a b^{15} c d^{2} + a^{2} b^{14} d^{3}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{14} d^{2} x + b^{14} c d\right)} \sqrt{\frac{{\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{6}} + {\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(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(b^{6} d x + b^{6} c\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{5}{6}} + \sqrt{3} {\left(b^{12} c^{13} - 12 \, a b^{11} c^{12} d + 66 \, a^{2} b^{10} c^{11} d^{2} - 220 \, a^{3} b^{9} c^{10} d^{3} + 495 \, a^{4} b^{8} c^{9} d^{4} - 792 \, a^{5} b^{7} c^{8} d^{5} + 924 \, a^{6} b^{6} c^{7} d^{6} - 792 \, a^{7} b^{5} c^{6} d^{7} + 495 \, a^{8} b^{4} c^{5} d^{8} - 220 \, a^{9} b^{3} c^{4} d^{9} + 66 \, a^{10} b^{2} c^{3} d^{10} - 12 \, a^{11} b c^{2} d^{11} + a^{12} c d^{12} + {\left(b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}\right)} x\right)}}{3 \, {\left(b^{12} c^{13} - 12 \, a b^{11} c^{12} d + 66 \, a^{2} b^{10} c^{11} d^{2} - 220 \, a^{3} b^{9} c^{10} d^{3} + 495 \, a^{4} b^{8} c^{9} d^{4} - 792 \, a^{5} b^{7} c^{8} d^{5} + 924 \, a^{6} b^{6} c^{7} d^{6} - 792 \, a^{7} b^{5} c^{6} d^{7} + 495 \, a^{8} b^{4} c^{5} d^{8} - 220 \, a^{9} b^{3} c^{4} d^{9} + 66 \, a^{10} b^{2} c^{3} d^{10} - 12 \, a^{11} b c^{2} d^{11} + a^{12} c d^{12} + {\left(b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}\right)} x\right)}}\right) + 220 \, \sqrt{3} b^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b^{16} c^{2} d - 2 \, a b^{15} c d^{2} + a^{2} b^{14} d^{3}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{14} d^{2} x + b^{14} c d\right)} \sqrt{-\frac{{\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{6}} - {\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(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{6} d x + b^{6} c\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{5}{6}} - \sqrt{3} {\left(b^{12} c^{13} - 12 \, a b^{11} c^{12} d + 66 \, a^{2} b^{10} c^{11} d^{2} - 220 \, a^{3} b^{9} c^{10} d^{3} + 495 \, a^{4} b^{8} c^{9} d^{4} - 792 \, a^{5} b^{7} c^{8} d^{5} + 924 \, a^{6} b^{6} c^{7} d^{6} - 792 \, a^{7} b^{5} c^{6} d^{7} + 495 \, a^{8} b^{4} c^{5} d^{8} - 220 \, a^{9} b^{3} c^{4} d^{9} + 66 \, a^{10} b^{2} c^{3} d^{10} - 12 \, a^{11} b c^{2} d^{11} + a^{12} c d^{12} + {\left(b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}\right)} x\right)}}{3 \, {\left(b^{12} c^{13} - 12 \, a b^{11} c^{12} d + 66 \, a^{2} b^{10} c^{11} d^{2} - 220 \, a^{3} b^{9} c^{10} d^{3} + 495 \, a^{4} b^{8} c^{9} d^{4} - 792 \, a^{5} b^{7} c^{8} d^{5} + 924 \, a^{6} b^{6} c^{7} d^{6} - 792 \, a^{7} b^{5} c^{6} d^{7} + 495 \, a^{8} b^{4} c^{5} d^{8} - 220 \, a^{9} b^{3} c^{4} d^{9} + 66 \, a^{10} b^{2} c^{3} d^{10} - 12 \, a^{11} b c^{2} d^{11} + a^{12} c d^{12} + {\left(b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}\right)} x\right)}}\right) - 55 \, b^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{6}} \log\left(\frac{3025 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{6}} + {\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(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(b^{6} d x + b^{6} c\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{3}}\right)}}{d x + c}\right) + 55 \, b^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{6}} \log\left(-\frac{3025 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{6}} - {\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(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{6} d x + b^{6} c\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{3}}\right)}}{d x + c}\right) - 110 \, b^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{6}} \log\left(\frac{55 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} + {\left(b^{3} d x + b^{3} c\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{6}}\right)}}{d x + c}\right) + 110 \, b^{2} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{6}} \log\left(\frac{55 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} - {\left(b^{3} d x + b^{3} c\right)} \left(\frac{b^{12} c^{12} - 12 \, a b^{11} c^{11} d + 66 \, a^{2} b^{10} c^{10} d^{2} - 220 \, a^{3} b^{9} c^{9} d^{3} + 495 \, a^{4} b^{8} c^{8} d^{4} - 792 \, a^{5} b^{7} c^{7} d^{5} + 924 \, a^{6} b^{6} c^{6} d^{6} - 792 \, a^{7} b^{5} c^{5} d^{7} + 495 \, a^{8} b^{4} c^{4} d^{8} - 220 \, a^{9} b^{3} c^{3} d^{9} + 66 \, a^{10} b^{2} c^{2} d^{10} - 12 \, a^{11} b c d^{11} + a^{12} d^{12}}{b^{17} d}\right)^{\frac{1}{6}}\right)}}{d x + c}\right) - 12 \, {\left(6 \, b d x + 17 \, b c - 11 \, a d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{144 \, b^{2}}"," ",0,"-1/144*(220*sqrt(3)*b^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b^16*c^2*d - 2*a*b^15*c*d^2 + a^2*b^14*d^3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(5/6) - 2*sqrt(3)*(b^14*d^2*x + b^14*c*d)*sqrt(((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/6) + (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)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (b^6*d*x + b^6*c)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/3))/(d*x + c))*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(5/6) + sqrt(3)*(b^12*c^13 - 12*a*b^11*c^12*d + 66*a^2*b^10*c^11*d^2 - 220*a^3*b^9*c^10*d^3 + 495*a^4*b^8*c^9*d^4 - 792*a^5*b^7*c^8*d^5 + 924*a^6*b^6*c^7*d^6 - 792*a^7*b^5*c^6*d^7 + 495*a^8*b^4*c^5*d^8 - 220*a^9*b^3*c^4*d^9 + 66*a^10*b^2*c^3*d^10 - 12*a^11*b*c^2*d^11 + a^12*c*d^12 + (b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)*x))/(b^12*c^13 - 12*a*b^11*c^12*d + 66*a^2*b^10*c^11*d^2 - 220*a^3*b^9*c^10*d^3 + 495*a^4*b^8*c^9*d^4 - 792*a^5*b^7*c^8*d^5 + 924*a^6*b^6*c^7*d^6 - 792*a^7*b^5*c^6*d^7 + 495*a^8*b^4*c^5*d^8 - 220*a^9*b^3*c^4*d^9 + 66*a^10*b^2*c^3*d^10 - 12*a^11*b*c^2*d^11 + a^12*c*d^12 + (b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)*x)) + 220*sqrt(3)*b^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b^16*c^2*d - 2*a*b^15*c*d^2 + a^2*b^14*d^3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(5/6) - 2*sqrt(3)*(b^14*d^2*x + b^14*c*d)*sqrt(-((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/6) - (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)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (b^6*d*x + b^6*c)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/3))/(d*x + c))*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(5/6) - sqrt(3)*(b^12*c^13 - 12*a*b^11*c^12*d + 66*a^2*b^10*c^11*d^2 - 220*a^3*b^9*c^10*d^3 + 495*a^4*b^8*c^9*d^4 - 792*a^5*b^7*c^8*d^5 + 924*a^6*b^6*c^7*d^6 - 792*a^7*b^5*c^6*d^7 + 495*a^8*b^4*c^5*d^8 - 220*a^9*b^3*c^4*d^9 + 66*a^10*b^2*c^3*d^10 - 12*a^11*b*c^2*d^11 + a^12*c*d^12 + (b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)*x))/(b^12*c^13 - 12*a*b^11*c^12*d + 66*a^2*b^10*c^11*d^2 - 220*a^3*b^9*c^10*d^3 + 495*a^4*b^8*c^9*d^4 - 792*a^5*b^7*c^8*d^5 + 924*a^6*b^6*c^7*d^6 - 792*a^7*b^5*c^6*d^7 + 495*a^8*b^4*c^5*d^8 - 220*a^9*b^3*c^4*d^9 + 66*a^10*b^2*c^3*d^10 - 12*a^11*b*c^2*d^11 + a^12*c*d^12 + (b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)*x)) - 55*b^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/6)*log(3025*((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/6) + (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)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (b^6*d*x + b^6*c)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/3))/(d*x + c)) + 55*b^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/6)*log(-3025*((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/6) - (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)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (b^6*d*x + b^6*c)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/3))/(d*x + c)) - 110*b^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/6)*log(55*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6) + (b^3*d*x + b^3*c)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/6))/(d*x + c)) + 110*b^2*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/6)*log(55*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6) - (b^3*d*x + b^3*c)*((b^12*c^12 - 12*a*b^11*c^11*d + 66*a^2*b^10*c^10*d^2 - 220*a^3*b^9*c^9*d^3 + 495*a^4*b^8*c^8*d^4 - 792*a^5*b^7*c^7*d^5 + 924*a^6*b^6*c^6*d^6 - 792*a^7*b^5*c^5*d^7 + 495*a^8*b^4*c^4*d^8 - 220*a^9*b^3*c^3*d^9 + 66*a^10*b^2*c^2*d^10 - 12*a^11*b*c*d^11 + a^12*d^12)/(b^17*d))^(1/6))/(d*x + c)) - 12*(6*b*d*x + 17*b*c - 11*a*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6))/b^2","B",0
1825,1,2997,0,1.834393," ","integrate((d*x+c)^(5/6)/(b*x+a)^(5/6),x, algorithm=""fricas"")","\frac{20 \, \sqrt{3} b \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{10} c d - a b^{9} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{5}{6}} + 2 \, \sqrt{3} {\left(b^{9} d^{2} x + b^{9} c d\right)} \sqrt{\frac{{\left(b^{3} c - a b^{2} d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{6}} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(b^{4} d x + b^{4} c\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{5}{6}} + \sqrt{3} {\left(b^{6} c^{7} - 6 \, a b^{5} c^{6} d + 15 \, a^{2} b^{4} c^{5} d^{2} - 20 \, a^{3} b^{3} c^{4} d^{3} + 15 \, a^{4} b^{2} c^{3} d^{4} - 6 \, a^{5} b c^{2} d^{5} + a^{6} c d^{6} + {\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)} x\right)}}{3 \, {\left(b^{6} c^{7} - 6 \, a b^{5} c^{6} d + 15 \, a^{2} b^{4} c^{5} d^{2} - 20 \, a^{3} b^{3} c^{4} d^{3} + 15 \, a^{4} b^{2} c^{3} d^{4} - 6 \, a^{5} b c^{2} d^{5} + a^{6} c d^{6} + {\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)} x\right)}}\right) + 20 \, \sqrt{3} b \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{10} c d - a b^{9} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{5}{6}} + 2 \, \sqrt{3} {\left(b^{9} d^{2} x + b^{9} c d\right)} \sqrt{-\frac{{\left(b^{3} c - a b^{2} d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{6}} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{4} d x + b^{4} c\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{3}}}{d x + c}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{5}{6}} - \sqrt{3} {\left(b^{6} c^{7} - 6 \, a b^{5} c^{6} d + 15 \, a^{2} b^{4} c^{5} d^{2} - 20 \, a^{3} b^{3} c^{4} d^{3} + 15 \, a^{4} b^{2} c^{3} d^{4} - 6 \, a^{5} b c^{2} d^{5} + a^{6} c d^{6} + {\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)} x\right)}}{3 \, {\left(b^{6} c^{7} - 6 \, a b^{5} c^{6} d + 15 \, a^{2} b^{4} c^{5} d^{2} - 20 \, a^{3} b^{3} c^{4} d^{3} + 15 \, a^{4} b^{2} c^{3} d^{4} - 6 \, a^{5} b c^{2} d^{5} + a^{6} c d^{6} + {\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)} x\right)}}\right) + 5 \, b \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{6}} \log\left(\frac{25 \, {\left({\left(b^{3} c - a b^{2} d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{6}} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(b^{4} d x + b^{4} c\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{3}}\right)}}{d x + c}\right) - 5 \, b \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{6}} \log\left(-\frac{25 \, {\left({\left(b^{3} c - a b^{2} d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{6}} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} - {\left(b^{4} d x + b^{4} c\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{3}}\right)}}{d x + c}\right) + 10 \, b \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{6}} \log\left(-\frac{5 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} + {\left(b^{2} d x + b^{2} c\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{6}}\right)}}{d x + c}\right) - 10 \, b \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{6}} \log\left(-\frac{5 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} - {\left(b^{2} d x + b^{2} c\right)} \left(\frac{b^{6} c^{6} - 6 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} + 15 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + a^{6} d^{6}}{b^{11} d}\right)^{\frac{1}{6}}\right)}}{d x + c}\right) + 12 \, {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{12 \, b}"," ",0,"1/12*(20*sqrt(3)*b*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/6)*arctan(1/3*(2*sqrt(3)*(b^10*c*d - a*b^9*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(5/6) + 2*sqrt(3)*(b^9*d^2*x + b^9*c*d)*sqrt(((b^3*c - a*b^2*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/6) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (b^4*d*x + b^4*c)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/3))/(d*x + c))*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(5/6) + sqrt(3)*(b^6*c^7 - 6*a*b^5*c^6*d + 15*a^2*b^4*c^5*d^2 - 20*a^3*b^3*c^4*d^3 + 15*a^4*b^2*c^3*d^4 - 6*a^5*b*c^2*d^5 + a^6*c*d^6 + (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)*x))/(b^6*c^7 - 6*a*b^5*c^6*d + 15*a^2*b^4*c^5*d^2 - 20*a^3*b^3*c^4*d^3 + 15*a^4*b^2*c^3*d^4 - 6*a^5*b*c^2*d^5 + a^6*c*d^6 + (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)*x)) + 20*sqrt(3)*b*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/6)*arctan(1/3*(2*sqrt(3)*(b^10*c*d - a*b^9*d^2)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(5/6) + 2*sqrt(3)*(b^9*d^2*x + b^9*c*d)*sqrt(-((b^3*c - a*b^2*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/6) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (b^4*d*x + b^4*c)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/3))/(d*x + c))*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(5/6) - sqrt(3)*(b^6*c^7 - 6*a*b^5*c^6*d + 15*a^2*b^4*c^5*d^2 - 20*a^3*b^3*c^4*d^3 + 15*a^4*b^2*c^3*d^4 - 6*a^5*b*c^2*d^5 + a^6*c*d^6 + (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)*x))/(b^6*c^7 - 6*a*b^5*c^6*d + 15*a^2*b^4*c^5*d^2 - 20*a^3*b^3*c^4*d^3 + 15*a^4*b^2*c^3*d^4 - 6*a^5*b*c^2*d^5 + a^6*c*d^6 + (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)*x)) + 5*b*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/6)*log(25*((b^3*c - a*b^2*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/6) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3) + (b^4*d*x + b^4*c)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/3))/(d*x + c)) - 5*b*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/6)*log(-25*((b^3*c - a*b^2*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/6) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(1/3)*(d*x + c)^(2/3) - (b^4*d*x + b^4*c)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/3))/(d*x + c)) + 10*b*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/6)*log(-5*((b*c - a*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6) + (b^2*d*x + b^2*c)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/6))/(d*x + c)) - 10*b*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/6)*log(-5*((b*c - a*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6) - (b^2*d*x + b^2*c)*((b^6*c^6 - 6*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 - 20*a^3*b^3*c^3*d^3 + 15*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 + a^6*d^6)/(b^11*d))^(1/6))/(d*x + c)) + 12*(b*x + a)^(1/6)*(d*x + c)^(5/6))/b","B",0
1826,1,620,0,1.677603," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(1/6),x, algorithm=""fricas"")","-2 \, \sqrt{3} \left(\frac{1}{b^{5} d}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b^{4} d \left(\frac{1}{b^{5} d}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{4} d^{2} x + b^{4} c d\right)} \sqrt{\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b \left(\frac{1}{b^{5} d}\right)^{\frac{1}{6}} + {\left(b^{2} d x + b^{2} c\right)} \left(\frac{1}{b^{5} d}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{d x + c}} \left(\frac{1}{b^{5} d}\right)^{\frac{5}{6}} + \sqrt{3} {\left(d x + c\right)}}{3 \, {\left(d x + c\right)}}\right) - 2 \, \sqrt{3} \left(\frac{1}{b^{5} d}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b^{4} d \left(\frac{1}{b^{5} d}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{4} d^{2} x + b^{4} c d\right)} \sqrt{-\frac{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b \left(\frac{1}{b^{5} d}\right)^{\frac{1}{6}} - {\left(b^{2} d x + b^{2} c\right)} \left(\frac{1}{b^{5} d}\right)^{\frac{1}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{d x + c}} \left(\frac{1}{b^{5} d}\right)^{\frac{5}{6}} - \sqrt{3} {\left(d x + c\right)}}{3 \, {\left(d x + c\right)}}\right) + \frac{1}{2} \, \left(\frac{1}{b^{5} d}\right)^{\frac{1}{6}} \log\left(\frac{4 \, {\left({\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b \left(\frac{1}{b^{5} d}\right)^{\frac{1}{6}} + {\left(b^{2} d x + b^{2} c\right)} \left(\frac{1}{b^{5} d}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}\right)}}{d x + c}\right) - \frac{1}{2} \, \left(\frac{1}{b^{5} d}\right)^{\frac{1}{6}} \log\left(-\frac{4 \, {\left({\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}} b \left(\frac{1}{b^{5} d}\right)^{\frac{1}{6}} - {\left(b^{2} d x + b^{2} c\right)} \left(\frac{1}{b^{5} d}\right)^{\frac{1}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}\right)}}{d x + c}\right) + \left(\frac{1}{b^{5} d}\right)^{\frac{1}{6}} \log\left(\frac{{\left(b d x + b c\right)} \left(\frac{1}{b^{5} d}\right)^{\frac{1}{6}} + {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{d x + c}\right) - \left(\frac{1}{b^{5} d}\right)^{\frac{1}{6}} \log\left(-\frac{{\left(b d x + b c\right)} \left(\frac{1}{b^{5} d}\right)^{\frac{1}{6}} - {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{d x + c}\right)"," ",0,"-2*sqrt(3)*(1/(b^5*d))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*b^4*d*(1/(b^5*d))^(5/6) - 2*sqrt(3)*(b^4*d^2*x + b^4*c*d)*sqrt(((b*x + a)^(1/6)*(d*x + c)^(5/6)*b*(1/(b^5*d))^(1/6) + (b^2*d*x + b^2*c)*(1/(b^5*d))^(1/3) + (b*x + a)^(1/3)*(d*x + c)^(2/3))/(d*x + c))*(1/(b^5*d))^(5/6) + sqrt(3)*(d*x + c))/(d*x + c)) - 2*sqrt(3)*(1/(b^5*d))^(1/6)*arctan(-1/3*(2*sqrt(3)*(b*x + a)^(1/6)*(d*x + c)^(5/6)*b^4*d*(1/(b^5*d))^(5/6) - 2*sqrt(3)*(b^4*d^2*x + b^4*c*d)*sqrt(-((b*x + a)^(1/6)*(d*x + c)^(5/6)*b*(1/(b^5*d))^(1/6) - (b^2*d*x + b^2*c)*(1/(b^5*d))^(1/3) - (b*x + a)^(1/3)*(d*x + c)^(2/3))/(d*x + c))*(1/(b^5*d))^(5/6) - sqrt(3)*(d*x + c))/(d*x + c)) + 1/2*(1/(b^5*d))^(1/6)*log(4*((b*x + a)^(1/6)*(d*x + c)^(5/6)*b*(1/(b^5*d))^(1/6) + (b^2*d*x + b^2*c)*(1/(b^5*d))^(1/3) + (b*x + a)^(1/3)*(d*x + c)^(2/3))/(d*x + c)) - 1/2*(1/(b^5*d))^(1/6)*log(-4*((b*x + a)^(1/6)*(d*x + c)^(5/6)*b*(1/(b^5*d))^(1/6) - (b^2*d*x + b^2*c)*(1/(b^5*d))^(1/3) - (b*x + a)^(1/3)*(d*x + c)^(2/3))/(d*x + c)) + (1/(b^5*d))^(1/6)*log(((b*d*x + b*c)*(1/(b^5*d))^(1/6) + (b*x + a)^(1/6)*(d*x + c)^(5/6))/(d*x + c)) - (1/(b^5*d))^(1/6)*log(-((b*d*x + b*c)*(1/(b^5*d))^(1/6) - (b*x + a)^(1/6)*(d*x + c)^(5/6))/(d*x + c))","B",0
1827,1,42,0,1.350422," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(7/6),x, algorithm=""fricas"")","\frac{6 \, {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x}"," ",0,"6*(b*x + a)^(1/6)*(d*x + c)^(5/6)/(b*c^2 - a*c*d + (b*c*d - a*d^2)*x)","A",0
1828,1,118,0,1.440785," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(13/6),x, algorithm=""fricas"")","\frac{6 \, {\left(6 \, b d x + 7 \, b c - a d\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{7 \, {\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,"6/7*(6*b*d*x + 7*b*c - a*d)*(b*x + a)^(1/6)*(d*x + c)^(5/6)/(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
1829,1,252,0,1.237868," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(19/6),x, algorithm=""fricas"")","\frac{6 \, {\left(72 \, b^{2} d^{2} x^{2} + 91 \, b^{2} c^{2} - 26 \, a b c d + 7 \, a^{2} d^{2} + 12 \, {\left(13 \, b^{2} c d - a b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{91 \, {\left(b^{3} c^{6} - 3 \, a b^{2} c^{5} d + 3 \, a^{2} b c^{4} d^{2} - a^{3} c^{3} d^{3} + {\left(b^{3} c^{3} d^{3} - 3 \, a b^{2} c^{2} d^{4} + 3 \, a^{2} b c d^{5} - a^{3} d^{6}\right)} x^{3} + 3 \, {\left(b^{3} c^{4} d^{2} - 3 \, a b^{2} c^{3} d^{3} + 3 \, a^{2} b c^{2} d^{4} - a^{3} c d^{5}\right)} x^{2} + 3 \, {\left(b^{3} c^{5} d - 3 \, a b^{2} c^{4} d^{2} + 3 \, a^{2} b c^{3} d^{3} - a^{3} c^{2} d^{4}\right)} x\right)}}"," ",0,"6/91*(72*b^2*d^2*x^2 + 91*b^2*c^2 - 26*a*b*c*d + 7*a^2*d^2 + 12*(13*b^2*c*d - a*b*d^2)*x)*(b*x + a)^(1/6)*(d*x + c)^(5/6)/(b^3*c^6 - 3*a*b^2*c^5*d + 3*a^2*b*c^4*d^2 - a^3*c^3*d^3 + (b^3*c^3*d^3 - 3*a*b^2*c^2*d^4 + 3*a^2*b*c*d^5 - a^3*d^6)*x^3 + 3*(b^3*c^4*d^2 - 3*a*b^2*c^3*d^3 + 3*a^2*b*c^2*d^4 - a^3*c*d^5)*x^2 + 3*(b^3*c^5*d - 3*a*b^2*c^4*d^2 + 3*a^2*b*c^3*d^3 - a^3*c^2*d^4)*x)","B",0
1830,1,420,0,1.113647," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(25/6),x, algorithm=""fricas"")","\frac{6 \, {\left(1296 \, b^{3} d^{3} x^{3} + 1729 \, b^{3} c^{3} - 741 \, a b^{2} c^{2} d + 399 \, a^{2} b c d^{2} - 91 \, a^{3} d^{3} + 216 \, {\left(19 \, b^{3} c d^{2} - a b^{2} d^{3}\right)} x^{2} + 18 \, {\left(247 \, b^{3} c^{2} d - 38 \, a b^{2} c d^{2} + 7 \, a^{2} b d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{1729 \, {\left(b^{4} c^{8} - 4 \, a b^{3} c^{7} d + 6 \, a^{2} b^{2} c^{6} d^{2} - 4 \, a^{3} b c^{5} d^{3} + a^{4} c^{4} d^{4} + {\left(b^{4} c^{4} d^{4} - 4 \, a b^{3} c^{3} d^{5} + 6 \, a^{2} b^{2} c^{2} d^{6} - 4 \, a^{3} b c d^{7} + a^{4} d^{8}\right)} x^{4} + 4 \, {\left(b^{4} c^{5} d^{3} - 4 \, a b^{3} c^{4} d^{4} + 6 \, a^{2} b^{2} c^{3} d^{5} - 4 \, a^{3} b c^{2} d^{6} + a^{4} c d^{7}\right)} x^{3} + 6 \, {\left(b^{4} c^{6} d^{2} - 4 \, a b^{3} c^{5} d^{3} + 6 \, a^{2} b^{2} c^{4} d^{4} - 4 \, a^{3} b c^{3} d^{5} + a^{4} c^{2} d^{6}\right)} x^{2} + 4 \, {\left(b^{4} c^{7} d - 4 \, a b^{3} c^{6} d^{2} + 6 \, a^{2} b^{2} c^{5} d^{3} - 4 \, a^{3} b c^{4} d^{4} + a^{4} c^{3} d^{5}\right)} x\right)}}"," ",0,"6/1729*(1296*b^3*d^3*x^3 + 1729*b^3*c^3 - 741*a*b^2*c^2*d + 399*a^2*b*c*d^2 - 91*a^3*d^3 + 216*(19*b^3*c*d^2 - a*b^2*d^3)*x^2 + 18*(247*b^3*c^2*d - 38*a*b^2*c*d^2 + 7*a^2*b*d^3)*x)*(b*x + a)^(1/6)*(d*x + c)^(5/6)/(b^4*c^8 - 4*a*b^3*c^7*d + 6*a^2*b^2*c^6*d^2 - 4*a^3*b*c^5*d^3 + a^4*c^4*d^4 + (b^4*c^4*d^4 - 4*a*b^3*c^3*d^5 + 6*a^2*b^2*c^2*d^6 - 4*a^3*b*c*d^7 + a^4*d^8)*x^4 + 4*(b^4*c^5*d^3 - 4*a*b^3*c^4*d^4 + 6*a^2*b^2*c^3*d^5 - 4*a^3*b*c^2*d^6 + a^4*c*d^7)*x^3 + 6*(b^4*c^6*d^2 - 4*a*b^3*c^5*d^3 + 6*a^2*b^2*c^4*d^4 - 4*a^3*b*c^3*d^5 + a^4*c^2*d^6)*x^2 + 4*(b^4*c^7*d - 4*a*b^3*c^6*d^2 + 6*a^2*b^2*c^5*d^3 - 4*a^3*b*c^4*d^4 + a^4*c^3*d^5)*x)","B",0
1831,1,5690,0,2.224762," ","integrate((d*x+c)^(13/6)/(b*x+a)^(7/6),x, algorithm=""fricas"")","-\frac{364 \, \sqrt{3} {\left(b^{4} x + a b^{3}\right)} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b^{18} c^{2} - 2 \, a b^{17} c d + a^{2} b^{16} d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{17} x + a b^{16}\right)} \sqrt{\frac{{\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{6}} + {\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(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b^{7} x + a b^{6}\right)} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(a b^{12} c^{12} d - 12 \, a^{2} b^{11} c^{11} d^{2} + 66 \, a^{3} b^{10} c^{10} d^{3} - 220 \, a^{4} b^{9} c^{9} d^{4} + 495 \, a^{5} b^{8} c^{8} d^{5} - 792 \, a^{6} b^{7} c^{7} d^{6} + 924 \, a^{7} b^{6} c^{6} d^{7} - 792 \, a^{8} b^{5} c^{5} d^{8} + 495 \, a^{9} b^{4} c^{4} d^{9} - 220 \, a^{10} b^{3} c^{3} d^{10} + 66 \, a^{11} b^{2} c^{2} d^{11} - 12 \, a^{12} b c d^{12} + a^{13} d^{13} + {\left(b^{13} c^{12} d - 12 \, a b^{12} c^{11} d^{2} + 66 \, a^{2} b^{11} c^{10} d^{3} - 220 \, a^{3} b^{10} c^{9} d^{4} + 495 \, a^{4} b^{9} c^{8} d^{5} - 792 \, a^{5} b^{8} c^{7} d^{6} + 924 \, a^{6} b^{7} c^{6} d^{7} - 792 \, a^{7} b^{6} c^{5} d^{8} + 495 \, a^{8} b^{5} c^{4} d^{9} - 220 \, a^{9} b^{4} c^{3} d^{10} + 66 \, a^{10} b^{3} c^{2} d^{11} - 12 \, a^{11} b^{2} c d^{12} + a^{12} b d^{13}\right)} x\right)}}{3 \, {\left(a b^{12} c^{12} d - 12 \, a^{2} b^{11} c^{11} d^{2} + 66 \, a^{3} b^{10} c^{10} d^{3} - 220 \, a^{4} b^{9} c^{9} d^{4} + 495 \, a^{5} b^{8} c^{8} d^{5} - 792 \, a^{6} b^{7} c^{7} d^{6} + 924 \, a^{7} b^{6} c^{6} d^{7} - 792 \, a^{8} b^{5} c^{5} d^{8} + 495 \, a^{9} b^{4} c^{4} d^{9} - 220 \, a^{10} b^{3} c^{3} d^{10} + 66 \, a^{11} b^{2} c^{2} d^{11} - 12 \, a^{12} b c d^{12} + a^{13} d^{13} + {\left(b^{13} c^{12} d - 12 \, a b^{12} c^{11} d^{2} + 66 \, a^{2} b^{11} c^{10} d^{3} - 220 \, a^{3} b^{10} c^{9} d^{4} + 495 \, a^{4} b^{9} c^{8} d^{5} - 792 \, a^{5} b^{8} c^{7} d^{6} + 924 \, a^{6} b^{7} c^{6} d^{7} - 792 \, a^{7} b^{6} c^{5} d^{8} + 495 \, a^{8} b^{5} c^{4} d^{9} - 220 \, a^{9} b^{4} c^{3} d^{10} + 66 \, a^{10} b^{3} c^{2} d^{11} - 12 \, a^{11} b^{2} c d^{12} + a^{12} b d^{13}\right)} x\right)}}\right) + 364 \, \sqrt{3} {\left(b^{4} x + a b^{3}\right)} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b^{18} c^{2} - 2 \, a b^{17} c d + a^{2} b^{16} d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{17} x + a b^{16}\right)} \sqrt{-\frac{{\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{6}} - {\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(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - {\left(b^{7} x + a b^{6}\right)} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(a b^{12} c^{12} d - 12 \, a^{2} b^{11} c^{11} d^{2} + 66 \, a^{3} b^{10} c^{10} d^{3} - 220 \, a^{4} b^{9} c^{9} d^{4} + 495 \, a^{5} b^{8} c^{8} d^{5} - 792 \, a^{6} b^{7} c^{7} d^{6} + 924 \, a^{7} b^{6} c^{6} d^{7} - 792 \, a^{8} b^{5} c^{5} d^{8} + 495 \, a^{9} b^{4} c^{4} d^{9} - 220 \, a^{10} b^{3} c^{3} d^{10} + 66 \, a^{11} b^{2} c^{2} d^{11} - 12 \, a^{12} b c d^{12} + a^{13} d^{13} + {\left(b^{13} c^{12} d - 12 \, a b^{12} c^{11} d^{2} + 66 \, a^{2} b^{11} c^{10} d^{3} - 220 \, a^{3} b^{10} c^{9} d^{4} + 495 \, a^{4} b^{9} c^{8} d^{5} - 792 \, a^{5} b^{8} c^{7} d^{6} + 924 \, a^{6} b^{7} c^{6} d^{7} - 792 \, a^{7} b^{6} c^{5} d^{8} + 495 \, a^{8} b^{5} c^{4} d^{9} - 220 \, a^{9} b^{4} c^{3} d^{10} + 66 \, a^{10} b^{3} c^{2} d^{11} - 12 \, a^{11} b^{2} c d^{12} + a^{12} b d^{13}\right)} x\right)}}{3 \, {\left(a b^{12} c^{12} d - 12 \, a^{2} b^{11} c^{11} d^{2} + 66 \, a^{3} b^{10} c^{10} d^{3} - 220 \, a^{4} b^{9} c^{9} d^{4} + 495 \, a^{5} b^{8} c^{8} d^{5} - 792 \, a^{6} b^{7} c^{7} d^{6} + 924 \, a^{7} b^{6} c^{6} d^{7} - 792 \, a^{8} b^{5} c^{5} d^{8} + 495 \, a^{9} b^{4} c^{4} d^{9} - 220 \, a^{10} b^{3} c^{3} d^{10} + 66 \, a^{11} b^{2} c^{2} d^{11} - 12 \, a^{12} b c d^{12} + a^{13} d^{13} + {\left(b^{13} c^{12} d - 12 \, a b^{12} c^{11} d^{2} + 66 \, a^{2} b^{11} c^{10} d^{3} - 220 \, a^{3} b^{10} c^{9} d^{4} + 495 \, a^{4} b^{9} c^{8} d^{5} - 792 \, a^{5} b^{8} c^{7} d^{6} + 924 \, a^{6} b^{7} c^{6} d^{7} - 792 \, a^{7} b^{6} c^{5} d^{8} + 495 \, a^{8} b^{5} c^{4} d^{9} - 220 \, a^{9} b^{4} c^{3} d^{10} + 66 \, a^{10} b^{3} c^{2} d^{11} - 12 \, a^{11} b^{2} c d^{12} + a^{12} b d^{13}\right)} x\right)}}\right) - 91 \, {\left(b^{4} x + a b^{3}\right)} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{6}} \log\left(\frac{8281 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{6}} + {\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(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b^{7} x + a b^{6}\right)} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{3}}\right)}}{b x + a}\right) + 91 \, {\left(b^{4} x + a b^{3}\right)} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{6}} \log\left(-\frac{8281 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{6}} - {\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(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - {\left(b^{7} x + a b^{6}\right)} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{3}}\right)}}{b x + a}\right) - 182 \, {\left(b^{4} x + a b^{3}\right)} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{6}} \log\left(\frac{91 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} + {\left(b^{4} x + a b^{3}\right)} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{6}}\right)}}{b x + a}\right) + 182 \, {\left(b^{4} x + a b^{3}\right)} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{6}} \log\left(\frac{91 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} - {\left(b^{4} x + a b^{3}\right)} \left(\frac{b^{12} c^{12} d - 12 \, a b^{11} c^{11} d^{2} + 66 \, a^{2} b^{10} c^{10} d^{3} - 220 \, a^{3} b^{9} c^{9} d^{4} + 495 \, a^{4} b^{8} c^{8} d^{5} - 792 \, a^{5} b^{7} c^{7} d^{6} + 924 \, a^{6} b^{6} c^{6} d^{7} - 792 \, a^{7} b^{5} c^{5} d^{8} + 495 \, a^{8} b^{4} c^{4} d^{9} - 220 \, a^{9} b^{3} c^{3} d^{10} + 66 \, a^{10} b^{2} c^{2} d^{11} - 12 \, a^{11} b c d^{12} + a^{12} d^{13}}{b^{19}}\right)^{\frac{1}{6}}\right)}}{b x + a}\right) - 12 \, {\left(6 \, b^{2} d^{2} x^{2} - 72 \, b^{2} c^{2} + 169 \, a b c d - 91 \, a^{2} d^{2} + {\left(25 \, b^{2} c d - 13 \, a b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{144 \, {\left(b^{4} x + a b^{3}\right)}}"," ",0,"-1/144*(364*sqrt(3)*(b^4*x + a*b^3)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/6)*arctan(-1/3*(2*sqrt(3)*(b^18*c^2 - 2*a*b^17*c*d + a^2*b^16*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(5/6) - 2*sqrt(3)*(b^17*x + a*b^16)*sqrt(((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/6) + (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)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b^7*x + a*b^6)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/3))/(b*x + a))*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(5/6) + sqrt(3)*(a*b^12*c^12*d - 12*a^2*b^11*c^11*d^2 + 66*a^3*b^10*c^10*d^3 - 220*a^4*b^9*c^9*d^4 + 495*a^5*b^8*c^8*d^5 - 792*a^6*b^7*c^7*d^6 + 924*a^7*b^6*c^6*d^7 - 792*a^8*b^5*c^5*d^8 + 495*a^9*b^4*c^4*d^9 - 220*a^10*b^3*c^3*d^10 + 66*a^11*b^2*c^2*d^11 - 12*a^12*b*c*d^12 + a^13*d^13 + (b^13*c^12*d - 12*a*b^12*c^11*d^2 + 66*a^2*b^11*c^10*d^3 - 220*a^3*b^10*c^9*d^4 + 495*a^4*b^9*c^8*d^5 - 792*a^5*b^8*c^7*d^6 + 924*a^6*b^7*c^6*d^7 - 792*a^7*b^6*c^5*d^8 + 495*a^8*b^5*c^4*d^9 - 220*a^9*b^4*c^3*d^10 + 66*a^10*b^3*c^2*d^11 - 12*a^11*b^2*c*d^12 + a^12*b*d^13)*x))/(a*b^12*c^12*d - 12*a^2*b^11*c^11*d^2 + 66*a^3*b^10*c^10*d^3 - 220*a^4*b^9*c^9*d^4 + 495*a^5*b^8*c^8*d^5 - 792*a^6*b^7*c^7*d^6 + 924*a^7*b^6*c^6*d^7 - 792*a^8*b^5*c^5*d^8 + 495*a^9*b^4*c^4*d^9 - 220*a^10*b^3*c^3*d^10 + 66*a^11*b^2*c^2*d^11 - 12*a^12*b*c*d^12 + a^13*d^13 + (b^13*c^12*d - 12*a*b^12*c^11*d^2 + 66*a^2*b^11*c^10*d^3 - 220*a^3*b^10*c^9*d^4 + 495*a^4*b^9*c^8*d^5 - 792*a^5*b^8*c^7*d^6 + 924*a^6*b^7*c^6*d^7 - 792*a^7*b^6*c^5*d^8 + 495*a^8*b^5*c^4*d^9 - 220*a^9*b^4*c^3*d^10 + 66*a^10*b^3*c^2*d^11 - 12*a^11*b^2*c*d^12 + a^12*b*d^13)*x)) + 364*sqrt(3)*(b^4*x + a*b^3)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/6)*arctan(-1/3*(2*sqrt(3)*(b^18*c^2 - 2*a*b^17*c*d + a^2*b^16*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(5/6) - 2*sqrt(3)*(b^17*x + a*b^16)*sqrt(-((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/6) - (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)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b^7*x + a*b^6)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/3))/(b*x + a))*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(5/6) - sqrt(3)*(a*b^12*c^12*d - 12*a^2*b^11*c^11*d^2 + 66*a^3*b^10*c^10*d^3 - 220*a^4*b^9*c^9*d^4 + 495*a^5*b^8*c^8*d^5 - 792*a^6*b^7*c^7*d^6 + 924*a^7*b^6*c^6*d^7 - 792*a^8*b^5*c^5*d^8 + 495*a^9*b^4*c^4*d^9 - 220*a^10*b^3*c^3*d^10 + 66*a^11*b^2*c^2*d^11 - 12*a^12*b*c*d^12 + a^13*d^13 + (b^13*c^12*d - 12*a*b^12*c^11*d^2 + 66*a^2*b^11*c^10*d^3 - 220*a^3*b^10*c^9*d^4 + 495*a^4*b^9*c^8*d^5 - 792*a^5*b^8*c^7*d^6 + 924*a^6*b^7*c^6*d^7 - 792*a^7*b^6*c^5*d^8 + 495*a^8*b^5*c^4*d^9 - 220*a^9*b^4*c^3*d^10 + 66*a^10*b^3*c^2*d^11 - 12*a^11*b^2*c*d^12 + a^12*b*d^13)*x))/(a*b^12*c^12*d - 12*a^2*b^11*c^11*d^2 + 66*a^3*b^10*c^10*d^3 - 220*a^4*b^9*c^9*d^4 + 495*a^5*b^8*c^8*d^5 - 792*a^6*b^7*c^7*d^6 + 924*a^7*b^6*c^6*d^7 - 792*a^8*b^5*c^5*d^8 + 495*a^9*b^4*c^4*d^9 - 220*a^10*b^3*c^3*d^10 + 66*a^11*b^2*c^2*d^11 - 12*a^12*b*c*d^12 + a^13*d^13 + (b^13*c^12*d - 12*a*b^12*c^11*d^2 + 66*a^2*b^11*c^10*d^3 - 220*a^3*b^10*c^9*d^4 + 495*a^4*b^9*c^8*d^5 - 792*a^5*b^8*c^7*d^6 + 924*a^6*b^7*c^6*d^7 - 792*a^7*b^6*c^5*d^8 + 495*a^8*b^5*c^4*d^9 - 220*a^9*b^4*c^3*d^10 + 66*a^10*b^3*c^2*d^11 - 12*a^11*b^2*c*d^12 + a^12*b*d^13)*x)) - 91*(b^4*x + a*b^3)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/6)*log(8281*((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/6) + (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)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b^7*x + a*b^6)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/3))/(b*x + a)) + 91*(b^4*x + a*b^3)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/6)*log(-8281*((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/6) - (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)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b^7*x + a*b^6)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/3))/(b*x + a)) - 182*(b^4*x + a*b^3)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/6)*log(91*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6) + (b^4*x + a*b^3)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/6))/(b*x + a)) + 182*(b^4*x + a*b^3)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/6)*log(91*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(5/6)*(d*x + c)^(1/6) - (b^4*x + a*b^3)*((b^12*c^12*d - 12*a*b^11*c^11*d^2 + 66*a^2*b^10*c^10*d^3 - 220*a^3*b^9*c^9*d^4 + 495*a^4*b^8*c^8*d^5 - 792*a^5*b^7*c^7*d^6 + 924*a^6*b^6*c^6*d^7 - 792*a^7*b^5*c^5*d^8 + 495*a^8*b^4*c^4*d^9 - 220*a^9*b^3*c^3*d^10 + 66*a^10*b^2*c^2*d^11 - 12*a^11*b*c*d^12 + a^12*d^13)/b^19)^(1/6))/(b*x + a)) - 12*(6*b^2*d^2*x^2 - 72*b^2*c^2 + 169*a*b*c*d - 91*a^2*d^2 + (25*b^2*c*d - 13*a*b*d^2)*x)*(b*x + a)^(5/6)*(d*x + c)^(1/6))/(b^4*x + a*b^3)","B",0
1832,1,3084,0,2.007872," ","integrate((d*x+c)^(7/6)/(b*x+a)^(7/6),x, algorithm=""fricas"")","\frac{28 \, \sqrt{3} {\left(b^{3} x + a b^{2}\right)} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{12} c - a b^{11} d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{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}}{b^{13}}\right)^{\frac{5}{6}} + 2 \, \sqrt{3} {\left(b^{12} x + a b^{11}\right)} \sqrt{\frac{{\left(b^{3} c - a b^{2} d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{6}} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b^{5} x + a b^{4}\right)} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{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}}{b^{13}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(a b^{6} c^{6} d - 6 \, a^{2} b^{5} c^{5} d^{2} + 15 \, a^{3} b^{4} c^{4} d^{3} - 20 \, a^{4} b^{3} c^{3} d^{4} + 15 \, a^{5} b^{2} c^{2} d^{5} - 6 \, a^{6} b c d^{6} + a^{7} d^{7} + {\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\right)}}{3 \, {\left(a b^{6} c^{6} d - 6 \, a^{2} b^{5} c^{5} d^{2} + 15 \, a^{3} b^{4} c^{4} d^{3} - 20 \, a^{4} b^{3} c^{3} d^{4} + 15 \, a^{5} b^{2} c^{2} d^{5} - 6 \, a^{6} b c d^{6} + a^{7} d^{7} + {\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\right)}}\right) + 28 \, \sqrt{3} {\left(b^{3} x + a b^{2}\right)} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{6}} \arctan\left(\frac{2 \, \sqrt{3} {\left(b^{12} c - a b^{11} d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{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}}{b^{13}}\right)^{\frac{5}{6}} + 2 \, \sqrt{3} {\left(b^{12} x + a b^{11}\right)} \sqrt{-\frac{{\left(b^{3} c - a b^{2} d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{6}} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - {\left(b^{5} x + a b^{4}\right)} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{3}}}{b x + a}} \left(\frac{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}}{b^{13}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(a b^{6} c^{6} d - 6 \, a^{2} b^{5} c^{5} d^{2} + 15 \, a^{3} b^{4} c^{4} d^{3} - 20 \, a^{4} b^{3} c^{3} d^{4} + 15 \, a^{5} b^{2} c^{2} d^{5} - 6 \, a^{6} b c d^{6} + a^{7} d^{7} + {\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\right)}}{3 \, {\left(a b^{6} c^{6} d - 6 \, a^{2} b^{5} c^{5} d^{2} + 15 \, a^{3} b^{4} c^{4} d^{3} - 20 \, a^{4} b^{3} c^{3} d^{4} + 15 \, a^{5} b^{2} c^{2} d^{5} - 6 \, a^{6} b c d^{6} + a^{7} d^{7} + {\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\right)}}\right) + 7 \, {\left(b^{3} x + a b^{2}\right)} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{6}} \log\left(\frac{49 \, {\left({\left(b^{3} c - a b^{2} d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{6}} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} + {\left(b^{5} x + a b^{4}\right)} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{3}}\right)}}{b x + a}\right) - 7 \, {\left(b^{3} x + a b^{2}\right)} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{6}} \log\left(-\frac{49 \, {\left({\left(b^{3} c - a b^{2} d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{6}} - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}} - {\left(b^{5} x + a b^{4}\right)} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{3}}\right)}}{b x + a}\right) + 14 \, {\left(b^{3} x + a b^{2}\right)} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{6}} \log\left(-\frac{7 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} + {\left(b^{3} x + a b^{2}\right)} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{6}}\right)}}{b x + a}\right) - 14 \, {\left(b^{3} x + a b^{2}\right)} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{6}} \log\left(-\frac{7 \, {\left({\left(b c - a d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} - {\left(b^{3} x + a b^{2}\right)} \left(\frac{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}}{b^{13}}\right)^{\frac{1}{6}}\right)}}{b x + a}\right) + 12 \, {\left(b d x - 6 \, b c + 7 \, a d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{12 \, {\left(b^{3} x + a b^{2}\right)}}"," ",0,"1/12*(28*sqrt(3)*(b^3*x + a*b^2)*((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)/b^13)^(1/6)*arctan(1/3*(2*sqrt(3)*(b^12*c - a*b^11*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((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)/b^13)^(5/6) + 2*sqrt(3)*(b^12*x + a*b^11)*sqrt(((b^3*c - a*b^2*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((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)/b^13)^(1/6) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b^5*x + a*b^4)*((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)/b^13)^(1/3))/(b*x + a))*((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)/b^13)^(5/6) + sqrt(3)*(a*b^6*c^6*d - 6*a^2*b^5*c^5*d^2 + 15*a^3*b^4*c^4*d^3 - 20*a^4*b^3*c^3*d^4 + 15*a^5*b^2*c^2*d^5 - 6*a^6*b*c*d^6 + a^7*d^7 + (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))/(a*b^6*c^6*d - 6*a^2*b^5*c^5*d^2 + 15*a^3*b^4*c^4*d^3 - 20*a^4*b^3*c^3*d^4 + 15*a^5*b^2*c^2*d^5 - 6*a^6*b*c*d^6 + a^7*d^7 + (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)) + 28*sqrt(3)*(b^3*x + a*b^2)*((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)/b^13)^(1/6)*arctan(1/3*(2*sqrt(3)*(b^12*c - a*b^11*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((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)/b^13)^(5/6) + 2*sqrt(3)*(b^12*x + a*b^11)*sqrt(-((b^3*c - a*b^2*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((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)/b^13)^(1/6) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b^5*x + a*b^4)*((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)/b^13)^(1/3))/(b*x + a))*((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)/b^13)^(5/6) - sqrt(3)*(a*b^6*c^6*d - 6*a^2*b^5*c^5*d^2 + 15*a^3*b^4*c^4*d^3 - 20*a^4*b^3*c^3*d^4 + 15*a^5*b^2*c^2*d^5 - 6*a^6*b*c*d^6 + a^7*d^7 + (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))/(a*b^6*c^6*d - 6*a^2*b^5*c^5*d^2 + 15*a^3*b^4*c^4*d^3 - 20*a^4*b^3*c^3*d^4 + 15*a^5*b^2*c^2*d^5 - 6*a^6*b*c*d^6 + a^7*d^7 + (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)) + 7*(b^3*x + a*b^2)*((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)/b^13)^(1/6)*log(49*((b^3*c - a*b^2*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((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)/b^13)^(1/6) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(2/3)*(d*x + c)^(1/3) + (b^5*x + a*b^4)*((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)/b^13)^(1/3))/(b*x + a)) - 7*(b^3*x + a*b^2)*((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)/b^13)^(1/6)*log(-49*((b^3*c - a*b^2*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*((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)/b^13)^(1/6) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(b*x + a)^(2/3)*(d*x + c)^(1/3) - (b^5*x + a*b^4)*((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)/b^13)^(1/3))/(b*x + a)) + 14*(b^3*x + a*b^2)*((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)/b^13)^(1/6)*log(-7*((b*c - a*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6) + (b^3*x + a*b^2)*((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)/b^13)^(1/6))/(b*x + a)) - 14*(b^3*x + a*b^2)*((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)/b^13)^(1/6)*log(-7*((b*c - a*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6) - (b^3*x + a*b^2)*((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)/b^13)^(1/6))/(b*x + a)) + 12*(b*d*x - 6*b*c + 7*a*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6))/(b^3*x + a*b^2)","B",0
1833,1,663,0,1.582391," ","integrate((d*x+c)^(1/6)/(b*x+a)^(7/6),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} {\left(b^{2} x + a b\right)} \left(\frac{d}{b^{7}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b^{6} \left(\frac{d}{b^{7}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{7} x + a b^{6}\right)} \sqrt{\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b \left(\frac{d}{b^{7}}\right)^{\frac{1}{6}} + {\left(b^{3} x + a b^{2}\right)} \left(\frac{d}{b^{7}}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{b x + a}} \left(\frac{d}{b^{7}}\right)^{\frac{5}{6}} + \sqrt{3} {\left(b d x + a d\right)}}{3 \, {\left(b d x + a d\right)}}\right) + 4 \, \sqrt{3} {\left(b^{2} x + a b\right)} \left(\frac{d}{b^{7}}\right)^{\frac{1}{6}} \arctan\left(-\frac{2 \, \sqrt{3} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b^{6} \left(\frac{d}{b^{7}}\right)^{\frac{5}{6}} - 2 \, \sqrt{3} {\left(b^{7} x + a b^{6}\right)} \sqrt{-\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b \left(\frac{d}{b^{7}}\right)^{\frac{1}{6}} - {\left(b^{3} x + a b^{2}\right)} \left(\frac{d}{b^{7}}\right)^{\frac{1}{3}} - {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}{b x + a}} \left(\frac{d}{b^{7}}\right)^{\frac{5}{6}} - \sqrt{3} {\left(b d x + a d\right)}}{3 \, {\left(b d x + a d\right)}}\right) - {\left(b^{2} x + a b\right)} \left(\frac{d}{b^{7}}\right)^{\frac{1}{6}} \log\left(\frac{4 \, {\left({\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b \left(\frac{d}{b^{7}}\right)^{\frac{1}{6}} + {\left(b^{3} x + a b^{2}\right)} \left(\frac{d}{b^{7}}\right)^{\frac{1}{3}} + {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\right)}}{b x + a}\right) + {\left(b^{2} x + a b\right)} \left(\frac{d}{b^{7}}\right)^{\frac{1}{6}} \log\left(-\frac{4 \, {\left({\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}} b \left(\frac{d}{b^{7}}\right)^{\frac{1}{6}} - {\left(b^{3} x + a b^{2}\right)} \left(\frac{d}{b^{7}}\right)^{\frac{1}{3}} - {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\right)}}{b x + a}\right) - 2 \, {\left(b^{2} x + a b\right)} \left(\frac{d}{b^{7}}\right)^{\frac{1}{6}} \log\left(\frac{{\left(b^{2} x + a b\right)} \left(\frac{d}{b^{7}}\right)^{\frac{1}{6}} + {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{b x + a}\right) + 2 \, {\left(b^{2} x + a b\right)} \left(\frac{d}{b^{7}}\right)^{\frac{1}{6}} \log\left(-\frac{{\left(b^{2} x + a b\right)} \left(\frac{d}{b^{7}}\right)^{\frac{1}{6}} - {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{b x + a}\right) + 12 \, {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{2 \, {\left(b^{2} x + a b\right)}}"," ",0,"-1/2*(4*sqrt(3)*(b^2*x + a*b)*(d/b^7)^(1/6)*arctan(-1/3*(2*sqrt(3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*b^6*(d/b^7)^(5/6) - 2*sqrt(3)*(b^7*x + a*b^6)*sqrt(((b*x + a)^(5/6)*(d*x + c)^(1/6)*b*(d/b^7)^(1/6) + (b^3*x + a*b^2)*(d/b^7)^(1/3) + (b*x + a)^(2/3)*(d*x + c)^(1/3))/(b*x + a))*(d/b^7)^(5/6) + sqrt(3)*(b*d*x + a*d))/(b*d*x + a*d)) + 4*sqrt(3)*(b^2*x + a*b)*(d/b^7)^(1/6)*arctan(-1/3*(2*sqrt(3)*(b*x + a)^(5/6)*(d*x + c)^(1/6)*b^6*(d/b^7)^(5/6) - 2*sqrt(3)*(b^7*x + a*b^6)*sqrt(-((b*x + a)^(5/6)*(d*x + c)^(1/6)*b*(d/b^7)^(1/6) - (b^3*x + a*b^2)*(d/b^7)^(1/3) - (b*x + a)^(2/3)*(d*x + c)^(1/3))/(b*x + a))*(d/b^7)^(5/6) - sqrt(3)*(b*d*x + a*d))/(b*d*x + a*d)) - (b^2*x + a*b)*(d/b^7)^(1/6)*log(4*((b*x + a)^(5/6)*(d*x + c)^(1/6)*b*(d/b^7)^(1/6) + (b^3*x + a*b^2)*(d/b^7)^(1/3) + (b*x + a)^(2/3)*(d*x + c)^(1/3))/(b*x + a)) + (b^2*x + a*b)*(d/b^7)^(1/6)*log(-4*((b*x + a)^(5/6)*(d*x + c)^(1/6)*b*(d/b^7)^(1/6) - (b^3*x + a*b^2)*(d/b^7)^(1/3) - (b*x + a)^(2/3)*(d*x + c)^(1/3))/(b*x + a)) - 2*(b^2*x + a*b)*(d/b^7)^(1/6)*log(((b^2*x + a*b)*(d/b^7)^(1/6) + (b*x + a)^(5/6)*(d*x + c)^(1/6))/(b*x + a)) + 2*(b^2*x + a*b)*(d/b^7)^(1/6)*log(-((b^2*x + a*b)*(d/b^7)^(1/6) - (b*x + a)^(5/6)*(d*x + c)^(1/6))/(b*x + a)) + 12*(b*x + a)^(5/6)*(d*x + c)^(1/6))/(b^2*x + a*b)","B",0
1834,1,42,0,1.434257," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(5/6),x, algorithm=""fricas"")","-\frac{6 \, {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x}"," ",0,"-6*(b*x + a)^(5/6)*(d*x + c)^(1/6)/(a*b*c - a^2*d + (b^2*c - a*b*d)*x)","A",0
1835,1,126,0,1.330055," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(11/6),x, algorithm=""fricas"")","-\frac{6 \, {\left(6 \, b d x + 5 \, b c + a d\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{5 \, {\left(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\right)}}"," ",0,"-6/5*(6*b*d*x + 5*b*c + a*d)*(b*x + a)^(5/6)*(d*x + c)^(1/6)/(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
1836,1,273,0,1.569018," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(17/6),x, algorithm=""fricas"")","-\frac{6 \, {\left(72 \, b^{2} d^{2} x^{2} + 55 \, b^{2} c^{2} + 22 \, a b c d - 5 \, a^{2} d^{2} + 12 \, {\left(11 \, b^{2} c d + a b d^{2}\right)} x\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{55 \, {\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,"-6/55*(72*b^2*d^2*x^2 + 55*b^2*c^2 + 22*a*b*c*d - 5*a^2*d^2 + 12*(11*b^2*c*d + a*b*d^2)*x)*(b*x + a)^(5/6)*(d*x + c)^(1/6)/(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
1837,1,457,0,1.489486," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(23/6),x, algorithm=""fricas"")","-\frac{6 \, {\left(1296 \, b^{3} d^{3} x^{3} + 935 \, b^{3} c^{3} + 561 \, a b^{2} c^{2} d - 255 \, a^{2} b c d^{2} + 55 \, a^{3} d^{3} + 216 \, {\left(17 \, b^{3} c d^{2} + a b^{2} d^{3}\right)} x^{2} + 18 \, {\left(187 \, b^{3} c^{2} d + 34 \, a b^{2} c d^{2} - 5 \, a^{2} b d^{3}\right)} x\right)} {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}{935 \, {\left(a b^{4} c^{7} - 4 \, a^{2} b^{3} c^{6} d + 6 \, a^{3} b^{2} c^{5} d^{2} - 4 \, a^{4} b c^{4} d^{3} + a^{5} c^{3} d^{4} + {\left(b^{5} c^{4} d^{3} - 4 \, a b^{4} c^{3} d^{4} + 6 \, a^{2} b^{3} c^{2} d^{5} - 4 \, a^{3} b^{2} c d^{6} + a^{4} b d^{7}\right)} x^{4} + {\left(3 \, b^{5} c^{5} d^{2} - 11 \, a b^{4} c^{4} d^{3} + 14 \, a^{2} b^{3} c^{3} d^{4} - 6 \, a^{3} b^{2} c^{2} d^{5} - a^{4} b c d^{6} + a^{5} d^{7}\right)} x^{3} + 3 \, {\left(b^{5} c^{6} d - 3 \, a b^{4} c^{5} d^{2} + 2 \, a^{2} b^{3} c^{4} d^{3} + 2 \, a^{3} b^{2} c^{3} d^{4} - 3 \, a^{4} b c^{2} d^{5} + a^{5} c d^{6}\right)} x^{2} + {\left(b^{5} c^{7} - a b^{4} c^{6} d - 6 \, a^{2} b^{3} c^{5} d^{2} + 14 \, a^{3} b^{2} c^{4} d^{3} - 11 \, a^{4} b c^{3} d^{4} + 3 \, a^{5} c^{2} d^{5}\right)} x\right)}}"," ",0,"-6/935*(1296*b^3*d^3*x^3 + 935*b^3*c^3 + 561*a*b^2*c^2*d - 255*a^2*b*c*d^2 + 55*a^3*d^3 + 216*(17*b^3*c*d^2 + a*b^2*d^3)*x^2 + 18*(187*b^3*c^2*d + 34*a*b^2*c*d^2 - 5*a^2*b*d^3)*x)*(b*x + a)^(5/6)*(d*x + c)^(1/6)/(a*b^4*c^7 - 4*a^2*b^3*c^6*d + 6*a^3*b^2*c^5*d^2 - 4*a^4*b*c^4*d^3 + a^5*c^3*d^4 + (b^5*c^4*d^3 - 4*a*b^4*c^3*d^4 + 6*a^2*b^3*c^2*d^5 - 4*a^3*b^2*c*d^6 + a^4*b*d^7)*x^4 + (3*b^5*c^5*d^2 - 11*a*b^4*c^4*d^3 + 14*a^2*b^3*c^3*d^4 - 6*a^3*b^2*c^2*d^5 - a^4*b*c*d^6 + a^5*d^7)*x^3 + 3*(b^5*c^6*d - 3*a*b^4*c^5*d^2 + 2*a^2*b^3*c^4*d^3 + 2*a^3*b^2*c^3*d^4 - 3*a^4*b*c^2*d^5 + a^5*c*d^6)*x^2 + (b^5*c^7 - a*b^4*c^6*d - 6*a^2*b^3*c^5*d^2 + 14*a^3*b^2*c^4*d^3 - 11*a^4*b*c^3*d^4 + 3*a^5*c^2*d^5)*x)","B",0
1838,0,0,0,2.752122," ","integrate((d*x+c)^(11/6)/(b*x+a)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{11}{6}}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(11/6)/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1839,0,0,0,2.959092," ","integrate((d*x+c)^(5/6)/(b*x+a)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6)/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1840,0,0,0,3.272856," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(1/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{b^{2} d x^{3} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2} + {\left(2 \, a b c + a^{2} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6)/(b^2*d*x^3 + a^2*c + (b^2*c + 2*a*b*d)*x^2 + (2*a*b*c + a^2*d)*x), x)","F",0
1841,0,0,0,2.123751," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(7/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{b^{2} d^{2} x^{4} + a^{2} c^{2} + 2 \, {\left(b^{2} c d + a b d^{2}\right)} x^{3} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b c^{2} + a^{2} c d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6)/(b^2*d^2*x^4 + a^2*c^2 + 2*(b^2*c*d + a*b*d^2)*x^3 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*x^2 + 2*(a*b*c^2 + a^2*c*d)*x), x)","F",0
1842,0,0,0,3.119288," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(13/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{b^{2} d^{3} x^{5} + a^{2} c^{3} + {\left(3 \, b^{2} c d^{2} + 2 \, a b d^{3}\right)} x^{4} + {\left(3 \, b^{2} c^{2} d + 6 \, a b c d^{2} + a^{2} d^{3}\right)} x^{3} + {\left(b^{2} c^{3} + 6 \, a b c^{2} d + 3 \, a^{2} c d^{2}\right)} x^{2} + {\left(2 \, a b c^{3} + 3 \, a^{2} c^{2} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6)/(b^2*d^3*x^5 + a^2*c^3 + (3*b^2*c*d^2 + 2*a*b*d^3)*x^4 + (3*b^2*c^2*d + 6*a*b*c*d^2 + a^2*d^3)*x^3 + (b^2*c^3 + 6*a*b*c^2*d + 3*a^2*c*d^2)*x^2 + (2*a*b*c^3 + 3*a^2*c^2*d)*x), x)","F",0
1843,0,0,0,2.450863," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(19/6),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}{b^{2} d^{4} x^{6} + a^{2} c^{4} + 2 \, {\left(2 \, b^{2} c d^{3} + a b d^{4}\right)} x^{5} + {\left(6 \, b^{2} c^{2} d^{2} + 8 \, a b c d^{3} + a^{2} d^{4}\right)} x^{4} + 4 \, {\left(b^{2} c^{3} d + 3 \, a b c^{2} d^{2} + a^{2} c d^{3}\right)} x^{3} + {\left(b^{2} c^{4} + 8 \, a b c^{3} d + 6 \, a^{2} c^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b c^{4} + 2 \, a^{2} c^{3} d\right)} x}, x\right)"," ",0,"integral((b*x + a)^(5/6)*(d*x + c)^(5/6)/(b^2*d^4*x^6 + a^2*c^4 + 2*(2*b^2*c*d^3 + a*b*d^4)*x^5 + (6*b^2*c^2*d^2 + 8*a*b*c*d^3 + a^2*d^4)*x^4 + 4*(b^2*c^3*d + 3*a*b*c^2*d^2 + a^2*c*d^3)*x^3 + (b^2*c^4 + 8*a*b*c^3*d + 6*a^2*c^2*d^2)*x^2 + 2*(a*b*c^4 + 2*a^2*c^3*d)*x), x)","F",0
1844,1,17,0,1.189165," ","integrate((b*x+a)^m*(a+b*(2+m)*x),x, algorithm=""fricas"")","{\left(b x^{2} + a x\right)} {\left(b x + a\right)}^{m}"," ",0,"(b*x^2 + a*x)*(b*x + a)^m","A",0
1845,0,0,0,1.114154," ","integrate((b*x+a)^m*(d*x+c)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n}, x\right)"," ",0,"integral((b*x + a)^m*(d*x + c)^n, x)","F",0
1846,1,497,0,1.257216," ","integrate((b*x+a)^m*(d*x+c)^3,x, algorithm=""fricas"")","\frac{{\left(a b^{3} c^{3} m^{3} + 24 \, a b^{3} c^{3} - 36 \, a^{2} b^{2} c^{2} d + 24 \, a^{3} b c d^{2} - 6 \, a^{4} d^{3} + {\left(b^{4} d^{3} m^{3} + 6 \, b^{4} d^{3} m^{2} + 11 \, b^{4} d^{3} m + 6 \, b^{4} d^{3}\right)} x^{4} + {\left(24 \, b^{4} c d^{2} + {\left(3 \, b^{4} c d^{2} + a b^{3} d^{3}\right)} m^{3} + 3 \, {\left(7 \, b^{4} c d^{2} + a b^{3} d^{3}\right)} m^{2} + 2 \, {\left(21 \, b^{4} c d^{2} + a b^{3} d^{3}\right)} m\right)} x^{3} + 3 \, {\left(3 \, a b^{3} c^{3} - a^{2} b^{2} c^{2} d\right)} m^{2} + 3 \, {\left(12 \, b^{4} c^{2} d + {\left(b^{4} c^{2} d + a b^{3} c d^{2}\right)} m^{3} + {\left(8 \, b^{4} c^{2} d + 5 \, a b^{3} c d^{2} - a^{2} b^{2} d^{3}\right)} m^{2} + {\left(19 \, b^{4} c^{2} d + 4 \, a b^{3} c d^{2} - a^{2} b^{2} d^{3}\right)} m\right)} x^{2} + {\left(26 \, a b^{3} c^{3} - 21 \, a^{2} b^{2} c^{2} d + 6 \, a^{3} b c d^{2}\right)} m + {\left(24 \, b^{4} c^{3} + {\left(b^{4} c^{3} + 3 \, a b^{3} c^{2} d\right)} m^{3} + 3 \, {\left(3 \, b^{4} c^{3} + 7 \, a b^{3} c^{2} d - 2 \, a^{2} b^{2} c d^{2}\right)} m^{2} + 2 \, {\left(13 \, b^{4} c^{3} + 18 \, a b^{3} c^{2} d - 12 \, a^{2} b^{2} c d^{2} + 3 \, a^{3} b d^{3}\right)} m\right)} x\right)} {\left(b x + a\right)}^{m}}{b^{4} m^{4} + 10 \, b^{4} m^{3} + 35 \, b^{4} m^{2} + 50 \, b^{4} m + 24 \, b^{4}}"," ",0,"(a*b^3*c^3*m^3 + 24*a*b^3*c^3 - 36*a^2*b^2*c^2*d + 24*a^3*b*c*d^2 - 6*a^4*d^3 + (b^4*d^3*m^3 + 6*b^4*d^3*m^2 + 11*b^4*d^3*m + 6*b^4*d^3)*x^4 + (24*b^4*c*d^2 + (3*b^4*c*d^2 + a*b^3*d^3)*m^3 + 3*(7*b^4*c*d^2 + a*b^3*d^3)*m^2 + 2*(21*b^4*c*d^2 + a*b^3*d^3)*m)*x^3 + 3*(3*a*b^3*c^3 - a^2*b^2*c^2*d)*m^2 + 3*(12*b^4*c^2*d + (b^4*c^2*d + a*b^3*c*d^2)*m^3 + (8*b^4*c^2*d + 5*a*b^3*c*d^2 - a^2*b^2*d^3)*m^2 + (19*b^4*c^2*d + 4*a*b^3*c*d^2 - a^2*b^2*d^3)*m)*x^2 + (26*a*b^3*c^3 - 21*a^2*b^2*c^2*d + 6*a^3*b*c*d^2)*m + (24*b^4*c^3 + (b^4*c^3 + 3*a*b^3*c^2*d)*m^3 + 3*(3*b^4*c^3 + 7*a*b^3*c^2*d - 2*a^2*b^2*c*d^2)*m^2 + 2*(13*b^4*c^3 + 18*a*b^3*c^2*d - 12*a^2*b^2*c*d^2 + 3*a^3*b*d^3)*m)*x)*(b*x + a)^m/(b^4*m^4 + 10*b^4*m^3 + 35*b^4*m^2 + 50*b^4*m + 24*b^4)","B",0
1847,1,235,0,1.181228," ","integrate((b*x+a)^m*(d*x+c)^2,x, algorithm=""fricas"")","\frac{{\left(a b^{2} c^{2} m^{2} + 6 \, a b^{2} c^{2} - 6 \, a^{2} b c d + 2 \, a^{3} d^{2} + {\left(b^{3} d^{2} m^{2} + 3 \, b^{3} d^{2} m + 2 \, b^{3} d^{2}\right)} x^{3} + {\left(6 \, b^{3} c d + {\left(2 \, b^{3} c d + a b^{2} d^{2}\right)} m^{2} + {\left(8 \, b^{3} c d + a b^{2} d^{2}\right)} m\right)} x^{2} + {\left(5 \, a b^{2} c^{2} - 2 \, a^{2} b c d\right)} m + {\left(6 \, b^{3} c^{2} + {\left(b^{3} c^{2} + 2 \, a b^{2} c d\right)} m^{2} + {\left(5 \, b^{3} c^{2} + 6 \, a b^{2} c d - 2 \, a^{2} b d^{2}\right)} m\right)} x\right)} {\left(b x + a\right)}^{m}}{b^{3} m^{3} + 6 \, b^{3} m^{2} + 11 \, b^{3} m + 6 \, b^{3}}"," ",0,"(a*b^2*c^2*m^2 + 6*a*b^2*c^2 - 6*a^2*b*c*d + 2*a^3*d^2 + (b^3*d^2*m^2 + 3*b^3*d^2*m + 2*b^3*d^2)*x^3 + (6*b^3*c*d + (2*b^3*c*d + a*b^2*d^2)*m^2 + (8*b^3*c*d + a*b^2*d^2)*m)*x^2 + (5*a*b^2*c^2 - 2*a^2*b*c*d)*m + (6*b^3*c^2 + (b^3*c^2 + 2*a*b^2*c*d)*m^2 + (5*b^3*c^2 + 6*a*b^2*c*d - 2*a^2*b*d^2)*m)*x)*(b*x + a)^m/(b^3*m^3 + 6*b^3*m^2 + 11*b^3*m + 6*b^3)","B",0
1848,1,83,0,0.726402," ","integrate((b*x+a)^m*(d*x+c),x, algorithm=""fricas"")","\frac{{\left(a b c m + 2 \, a b c - a^{2} d + {\left(b^{2} d m + b^{2} d\right)} x^{2} + {\left(2 \, b^{2} c + {\left(b^{2} c + a b d\right)} m\right)} x\right)} {\left(b x + a\right)}^{m}}{b^{2} m^{2} + 3 \, b^{2} m + 2 \, b^{2}}"," ",0,"(a*b*c*m + 2*a*b*c - a^2*d + (b^2*d*m + b^2*d)*x^2 + (2*b^2*c + (b^2*c + a*b*d)*m)*x)*(b*x + a)^m/(b^2*m^2 + 3*b^2*m + 2*b^2)","A",0
1849,0,0,0,1.323301," ","integrate((b*x+a)^m/(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{m}}{d x + c}, x\right)"," ",0,"integral((b*x + a)^m/(d*x + c), x)","F",0
1850,0,0,0,1.065673," ","integrate((b*x+a)^m/(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{m}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral((b*x + a)^m/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
1851,0,0,0,1.143764," ","integrate((b*x+a)^m/(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{m}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}, x\right)"," ",0,"integral((b*x + a)^m/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
1852,1,496,0,1.035180," ","integrate((b*x+a)^3*(d*x+c)^n,x, algorithm=""fricas"")","\frac{{\left(a^{3} c d^{3} n^{3} - 6 \, b^{3} c^{4} + 24 \, a b^{2} c^{3} d - 36 \, a^{2} b c^{2} d^{2} + 24 \, a^{3} c d^{3} + {\left(b^{3} d^{4} n^{3} + 6 \, b^{3} d^{4} n^{2} + 11 \, b^{3} d^{4} n + 6 \, b^{3} d^{4}\right)} x^{4} + {\left(24 \, a b^{2} d^{4} + {\left(b^{3} c d^{3} + 3 \, a b^{2} d^{4}\right)} n^{3} + 3 \, {\left(b^{3} c d^{3} + 7 \, a b^{2} d^{4}\right)} n^{2} + 2 \, {\left(b^{3} c d^{3} + 21 \, a b^{2} d^{4}\right)} n\right)} x^{3} - 3 \, {\left(a^{2} b c^{2} d^{2} - 3 \, a^{3} c d^{3}\right)} n^{2} + 3 \, {\left(12 \, a^{2} b d^{4} + {\left(a b^{2} c d^{3} + a^{2} b d^{4}\right)} n^{3} - {\left(b^{3} c^{2} d^{2} - 5 \, a b^{2} c d^{3} - 8 \, a^{2} b d^{4}\right)} n^{2} - {\left(b^{3} c^{2} d^{2} - 4 \, a b^{2} c d^{3} - 19 \, a^{2} b d^{4}\right)} n\right)} x^{2} + {\left(6 \, a b^{2} c^{3} d - 21 \, a^{2} b c^{2} d^{2} + 26 \, a^{3} c d^{3}\right)} n + {\left(24 \, a^{3} d^{4} + {\left(3 \, a^{2} b c d^{3} + a^{3} d^{4}\right)} n^{3} - 3 \, {\left(2 \, a b^{2} c^{2} d^{2} - 7 \, a^{2} b c d^{3} - 3 \, a^{3} d^{4}\right)} n^{2} + 2 \, {\left(3 \, b^{3} c^{3} d - 12 \, a b^{2} c^{2} d^{2} + 18 \, a^{2} b c d^{3} + 13 \, a^{3} d^{4}\right)} n\right)} x\right)} {\left(d x + c\right)}^{n}}{d^{4} n^{4} + 10 \, d^{4} n^{3} + 35 \, d^{4} n^{2} + 50 \, d^{4} n + 24 \, d^{4}}"," ",0,"(a^3*c*d^3*n^3 - 6*b^3*c^4 + 24*a*b^2*c^3*d - 36*a^2*b*c^2*d^2 + 24*a^3*c*d^3 + (b^3*d^4*n^3 + 6*b^3*d^4*n^2 + 11*b^3*d^4*n + 6*b^3*d^4)*x^4 + (24*a*b^2*d^4 + (b^3*c*d^3 + 3*a*b^2*d^4)*n^3 + 3*(b^3*c*d^3 + 7*a*b^2*d^4)*n^2 + 2*(b^3*c*d^3 + 21*a*b^2*d^4)*n)*x^3 - 3*(a^2*b*c^2*d^2 - 3*a^3*c*d^3)*n^2 + 3*(12*a^2*b*d^4 + (a*b^2*c*d^3 + a^2*b*d^4)*n^3 - (b^3*c^2*d^2 - 5*a*b^2*c*d^3 - 8*a^2*b*d^4)*n^2 - (b^3*c^2*d^2 - 4*a*b^2*c*d^3 - 19*a^2*b*d^4)*n)*x^2 + (6*a*b^2*c^3*d - 21*a^2*b*c^2*d^2 + 26*a^3*c*d^3)*n + (24*a^3*d^4 + (3*a^2*b*c*d^3 + a^3*d^4)*n^3 - 3*(2*a*b^2*c^2*d^2 - 7*a^2*b*c*d^3 - 3*a^3*d^4)*n^2 + 2*(3*b^3*c^3*d - 12*a*b^2*c^2*d^2 + 18*a^2*b*c*d^3 + 13*a^3*d^4)*n)*x)*(d*x + c)^n/(d^4*n^4 + 10*d^4*n^3 + 35*d^4*n^2 + 50*d^4*n + 24*d^4)","B",0
1853,1,237,0,1.351512," ","integrate((b*x+a)^2*(d*x+c)^n,x, algorithm=""fricas"")","\frac{{\left(a^{2} c d^{2} n^{2} + 2 \, b^{2} c^{3} - 6 \, a b c^{2} d + 6 \, a^{2} c d^{2} + {\left(b^{2} d^{3} n^{2} + 3 \, b^{2} d^{3} n + 2 \, b^{2} d^{3}\right)} x^{3} + {\left(6 \, a b d^{3} + {\left(b^{2} c d^{2} + 2 \, a b d^{3}\right)} n^{2} + {\left(b^{2} c d^{2} + 8 \, a b d^{3}\right)} n\right)} x^{2} - {\left(2 \, a b c^{2} d - 5 \, a^{2} c d^{2}\right)} n + {\left(6 \, a^{2} d^{3} + {\left(2 \, a b c d^{2} + a^{2} d^{3}\right)} n^{2} - {\left(2 \, b^{2} c^{2} d - 6 \, a b c d^{2} - 5 \, a^{2} d^{3}\right)} n\right)} x\right)} {\left(d x + c\right)}^{n}}{d^{3} n^{3} + 6 \, d^{3} n^{2} + 11 \, d^{3} n + 6 \, d^{3}}"," ",0,"(a^2*c*d^2*n^2 + 2*b^2*c^3 - 6*a*b*c^2*d + 6*a^2*c*d^2 + (b^2*d^3*n^2 + 3*b^2*d^3*n + 2*b^2*d^3)*x^3 + (6*a*b*d^3 + (b^2*c*d^2 + 2*a*b*d^3)*n^2 + (b^2*c*d^2 + 8*a*b*d^3)*n)*x^2 - (2*a*b*c^2*d - 5*a^2*c*d^2)*n + (6*a^2*d^3 + (2*a*b*c*d^2 + a^2*d^3)*n^2 - (2*b^2*c^2*d - 6*a*b*c*d^2 - 5*a^2*d^3)*n)*x)*(d*x + c)^n/(d^3*n^3 + 6*d^3*n^2 + 11*d^3*n + 6*d^3)","B",0
1854,1,83,0,1.280895," ","integrate((b*x+a)*(d*x+c)^n,x, algorithm=""fricas"")","\frac{{\left(a c d n - b c^{2} + 2 \, a c d + {\left(b d^{2} n + b d^{2}\right)} x^{2} + {\left(2 \, a d^{2} + {\left(b c d + a d^{2}\right)} n\right)} x\right)} {\left(d x + c\right)}^{n}}{d^{2} n^{2} + 3 \, d^{2} n + 2 \, d^{2}}"," ",0,"(a*c*d*n - b*c^2 + 2*a*c*d + (b*d^2*n + b*d^2)*x^2 + (2*a*d^2 + (b*c*d + a*d^2)*n)*x)*(d*x + c)^n/(d^2*n^2 + 3*d^2*n + 2*d^2)","A",0
1855,1,20,0,1.253613," ","integrate((d*x+c)^n,x, algorithm=""fricas"")","\frac{{\left(d x + c\right)} {\left(d x + c\right)}^{n}}{d n + d}"," ",0,"(d*x + c)*(d*x + c)^n/(d*n + d)","A",0
1856,0,0,0,1.339167," ","integrate((d*x+c)^n/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{n}}{b x + a}, x\right)"," ",0,"integral((d*x + c)^n/(b*x + a), x)","F",0
1857,0,0,0,1.372791," ","integrate((d*x+c)^n/(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{n}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral((d*x + c)^n/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
1858,0,0,0,1.361145," ","integrate((d*x+c)^n/(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{n}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}, x\right)"," ",0,"integral((d*x + c)^n/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
1859,1,512,0,1.434334," ","integrate((b*x+a)^(-4+n)/((d*x+c)^n),x, algorithm=""fricas"")","-\frac{{\left(2 \, b^{3} d^{3} x^{4} + 2 \, a b^{2} c^{3} - 6 \, a^{2} b c^{2} d + 6 \, a^{3} c d^{2} + 2 \, {\left(4 \, a b^{2} d^{3} + {\left(b^{3} c d^{2} - a b^{2} d^{3}\right)} n\right)} x^{3} + {\left(a b^{2} c^{3} - 2 \, a^{2} b c^{2} d + a^{3} c d^{2}\right)} n^{2} + {\left(12 \, a^{2} b d^{3} + {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} n^{2} - {\left(b^{3} c^{2} d - 8 \, a b^{2} c d^{2} + 7 \, a^{2} b d^{3}\right)} n\right)} x^{2} - {\left(3 \, a b^{2} c^{3} - 8 \, a^{2} b c^{2} d + 5 \, a^{3} c d^{2}\right)} n + {\left(2 \, b^{3} c^{3} - 6 \, a b^{2} c^{2} d + 6 \, a^{2} b c d^{2} + 6 \, a^{3} d^{3} + {\left(b^{3} c^{3} - a b^{2} c^{2} d - a^{2} b c d^{2} + a^{3} d^{3}\right)} n^{2} - {\left(3 \, b^{3} c^{3} - 7 \, a b^{2} c^{2} d - a^{2} b c d^{2} + 5 \, a^{3} d^{3}\right)} n\right)} x\right)} {\left(b x + a\right)}^{n - 4}}{{\left(6 \, b^{3} c^{3} - 18 \, a b^{2} c^{2} d + 18 \, a^{2} b c d^{2} - 6 \, a^{3} d^{3} - {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} n^{3} + 6 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} n^{2} - 11 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} n\right)} {\left(d x + c\right)}^{n}}"," ",0,"-(2*b^3*d^3*x^4 + 2*a*b^2*c^3 - 6*a^2*b*c^2*d + 6*a^3*c*d^2 + 2*(4*a*b^2*d^3 + (b^3*c*d^2 - a*b^2*d^3)*n)*x^3 + (a*b^2*c^3 - 2*a^2*b*c^2*d + a^3*c*d^2)*n^2 + (12*a^2*b*d^3 + (b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*n^2 - (b^3*c^2*d - 8*a*b^2*c*d^2 + 7*a^2*b*d^3)*n)*x^2 - (3*a*b^2*c^3 - 8*a^2*b*c^2*d + 5*a^3*c*d^2)*n + (2*b^3*c^3 - 6*a*b^2*c^2*d + 6*a^2*b*c*d^2 + 6*a^3*d^3 + (b^3*c^3 - a*b^2*c^2*d - a^2*b*c*d^2 + a^3*d^3)*n^2 - (3*b^3*c^3 - 7*a*b^2*c^2*d - a^2*b*c*d^2 + 5*a^3*d^3)*n)*x)*(b*x + a)^(n - 4)/((6*b^3*c^3 - 18*a*b^2*c^2*d + 18*a^2*b*c*d^2 - 6*a^3*d^3 - (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*n^3 + 6*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*n^2 - 11*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*n)*(d*x + c)^n)","B",0
1860,1,206,0,1.384243," ","integrate((b*x+a)^(-3+n)/((d*x+c)^n),x, algorithm=""fricas"")","\frac{{\left(b^{2} d^{2} x^{3} - a b c^{2} + 2 \, a^{2} c d + {\left(3 \, a b d^{2} + {\left(b^{2} c d - a b d^{2}\right)} n\right)} x^{2} + {\left(a b c^{2} - a^{2} c d\right)} n - {\left(b^{2} c^{2} - 2 \, a b c d - 2 \, a^{2} d^{2} - {\left(b^{2} c^{2} - a^{2} d^{2}\right)} n\right)} x\right)} {\left(b x + a\right)}^{n - 3}}{{\left(2 \, b^{2} c^{2} - 4 \, a b c d + 2 \, a^{2} d^{2} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} n^{2} - 3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} n\right)} {\left(d x + c\right)}^{n}}"," ",0,"(b^2*d^2*x^3 - a*b*c^2 + 2*a^2*c*d + (3*a*b*d^2 + (b^2*c*d - a*b*d^2)*n)*x^2 + (a*b*c^2 - a^2*c*d)*n - (b^2*c^2 - 2*a*b*c*d - 2*a^2*d^2 - (b^2*c^2 - a^2*d^2)*n)*x)*(b*x + a)^(n - 3)/((2*b^2*c^2 - 4*a*b*c*d + 2*a^2*d^2 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*n^2 - 3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*n)*(d*x + c)^n)","B",0
1861,1,60,0,1.323372," ","integrate((b*x+a)^(-2+n)/((d*x+c)^n),x, algorithm=""fricas"")","-\frac{{\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)} {\left(b x + a\right)}^{n - 2}}{{\left(b c - a d - {\left(b c - a d\right)} n\right)} {\left(d x + c\right)}^{n}}"," ",0,"-(b*d*x^2 + a*c + (b*c + a*d)*x)*(b*x + a)^(n - 2)/((b*c - a*d - (b*c - a*d)*n)*(d*x + c)^n)","A",0
1862,0,0,0,0.803053," ","integrate((b*x+a)^(-1+n)/((d*x+c)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{n - 1}}{{\left(d x + c\right)}^{n}}, x\right)"," ",0,"integral((b*x + a)^(n - 1)/(d*x + c)^n, x)","F",0
1863,0,0,0,0.802138," ","integrate((b*x+a)^n/((d*x+c)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{n}}, x\right)"," ",0,"integral((b*x + a)^n/(d*x + c)^n, x)","F",0
1864,0,0,0,1.403061," ","integrate((b*x+a)^(1+n)/((d*x+c)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{n + 1}}{{\left(d x + c\right)}^{n}}, x\right)"," ",0,"integral((b*x + a)^(n + 1)/(d*x + c)^n, x)","F",0
1865,0,0,0,1.401160," ","integrate((b*x+a)^(2+n)/((d*x+c)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{n + 2}}{{\left(d x + c\right)}^{n}}, x\right)"," ",0,"integral((b*x + a)^(n + 2)/(d*x + c)^n, x)","F",0
1866,0,0,0,1.395089," ","integrate((d*x+c)^n/((b*x+a)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x + c\right)}^{n}}{{\left(b x + a\right)}^{n}}, x\right)"," ",0,"integral((d*x + c)^n/(b*x + a)^n, x)","F",0
1867,0,0,0,1.348722," ","integrate((b*x+a)^(-1-n)*(d*x+c)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{-n - 1} {\left(d x + c\right)}^{n}, x\right)"," ",0,"integral((b*x + a)^(-n - 1)*(d*x + c)^n, x)","F",0
1868,1,59,0,1.331413," ","integrate((b*x+a)^(-2-n)*(d*x+c)^n,x, algorithm=""fricas"")","-\frac{{\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)} {\left(b x + a\right)}^{-n - 2} {\left(d x + c\right)}^{n}}{b c - a d + {\left(b c - a d\right)} n}"," ",0,"-(b*d*x^2 + a*c + (b*c + a*d)*x)*(b*x + a)^(-n - 2)*(d*x + c)^n/(b*c - a*d + (b*c - a*d)*n)","A",0
1869,1,207,0,1.276684," ","integrate((b*x+a)^(-3-n)*(d*x+c)^n,x, algorithm=""fricas"")","\frac{{\left(b^{2} d^{2} x^{3} - a b c^{2} + 2 \, a^{2} c d + {\left(3 \, a b d^{2} - {\left(b^{2} c d - a b d^{2}\right)} n\right)} x^{2} - {\left(a b c^{2} - a^{2} c d\right)} n - {\left(b^{2} c^{2} - 2 \, a b c d - 2 \, a^{2} d^{2} + {\left(b^{2} c^{2} - a^{2} d^{2}\right)} n\right)} x\right)} {\left(b x + a\right)}^{-n - 3} {\left(d x + c\right)}^{n}}{2 \, b^{2} c^{2} - 4 \, a b c d + 2 \, a^{2} d^{2} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} n^{2} + 3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} n}"," ",0,"(b^2*d^2*x^3 - a*b*c^2 + 2*a^2*c*d + (3*a*b*d^2 - (b^2*c*d - a*b*d^2)*n)*x^2 - (a*b*c^2 - a^2*c*d)*n - (b^2*c^2 - 2*a*b*c*d - 2*a^2*d^2 + (b^2*c^2 - a^2*d^2)*n)*x)*(b*x + a)^(-n - 3)*(d*x + c)^n/(2*b^2*c^2 - 4*a*b*c*d + 2*a^2*d^2 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*n^2 + 3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*n)","B",0
1870,1,509,0,1.014544," ","integrate((b*x+a)^(-4-n)*(d*x+c)^n,x, algorithm=""fricas"")","-\frac{{\left(2 \, b^{3} d^{3} x^{4} + 2 \, a b^{2} c^{3} - 6 \, a^{2} b c^{2} d + 6 \, a^{3} c d^{2} + 2 \, {\left(4 \, a b^{2} d^{3} - {\left(b^{3} c d^{2} - a b^{2} d^{3}\right)} n\right)} x^{3} + {\left(a b^{2} c^{3} - 2 \, a^{2} b c^{2} d + a^{3} c d^{2}\right)} n^{2} + {\left(12 \, a^{2} b d^{3} + {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} n^{2} + {\left(b^{3} c^{2} d - 8 \, a b^{2} c d^{2} + 7 \, a^{2} b d^{3}\right)} n\right)} x^{2} + {\left(3 \, a b^{2} c^{3} - 8 \, a^{2} b c^{2} d + 5 \, a^{3} c d^{2}\right)} n + {\left(2 \, b^{3} c^{3} - 6 \, a b^{2} c^{2} d + 6 \, a^{2} b c d^{2} + 6 \, a^{3} d^{3} + {\left(b^{3} c^{3} - a b^{2} c^{2} d - a^{2} b c d^{2} + a^{3} d^{3}\right)} n^{2} + {\left(3 \, b^{3} c^{3} - 7 \, a b^{2} c^{2} d - a^{2} b c d^{2} + 5 \, a^{3} d^{3}\right)} n\right)} x\right)} {\left(b x + a\right)}^{-n - 4} {\left(d x + c\right)}^{n}}{6 \, b^{3} c^{3} - 18 \, a b^{2} c^{2} d + 18 \, a^{2} b c d^{2} - 6 \, a^{3} d^{3} + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} n^{3} + 6 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} n^{2} + 11 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} n}"," ",0,"-(2*b^3*d^3*x^4 + 2*a*b^2*c^3 - 6*a^2*b*c^2*d + 6*a^3*c*d^2 + 2*(4*a*b^2*d^3 - (b^3*c*d^2 - a*b^2*d^3)*n)*x^3 + (a*b^2*c^3 - 2*a^2*b*c^2*d + a^3*c*d^2)*n^2 + (12*a^2*b*d^3 + (b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*n^2 + (b^3*c^2*d - 8*a*b^2*c*d^2 + 7*a^2*b*d^3)*n)*x^2 + (3*a*b^2*c^3 - 8*a^2*b*c^2*d + 5*a^3*c*d^2)*n + (2*b^3*c^3 - 6*a*b^2*c^2*d + 6*a^2*b*c*d^2 + 6*a^3*d^3 + (b^3*c^3 - a*b^2*c^2*d - a^2*b*c*d^2 + a^3*d^3)*n^2 + (3*b^3*c^3 - 7*a*b^2*c^2*d - a^2*b*c*d^2 + 5*a^3*d^3)*n)*x)*(b*x + a)^(-n - 4)*(d*x + c)^n/(6*b^3*c^3 - 18*a*b^2*c^2*d + 18*a^2*b*c*d^2 - 6*a^3*d^3 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*n^3 + 6*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*n^2 + 11*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*n)","B",0
1871,1,959,0,1.404727," ","integrate((b*x+a)^(-5-n)*(d*x+c)^n,x, algorithm=""fricas"")","\frac{{\left(6 \, b^{4} d^{4} x^{5} - 6 \, a b^{3} c^{4} + 24 \, a^{2} b^{2} c^{3} d - 36 \, a^{3} b c^{2} d^{2} + 24 \, a^{4} c d^{3} + 6 \, {\left(5 \, a b^{3} d^{4} - {\left(b^{4} c d^{3} - a b^{3} d^{4}\right)} n\right)} x^{4} - {\left(a b^{3} c^{4} - 3 \, a^{2} b^{2} c^{3} d + 3 \, a^{3} b c^{2} d^{2} - a^{4} c d^{3}\right)} n^{3} + 3 \, {\left(20 \, a^{2} b^{2} d^{4} + {\left(b^{4} c^{2} d^{2} - 2 \, a b^{3} c d^{3} + a^{2} b^{2} d^{4}\right)} n^{2} + {\left(b^{4} c^{2} d^{2} - 10 \, a b^{3} c d^{3} + 9 \, a^{2} b^{2} d^{4}\right)} n\right)} x^{3} - 3 \, {\left(2 \, a b^{3} c^{4} - 7 \, a^{2} b^{2} c^{3} d + 8 \, a^{3} b c^{2} d^{2} - 3 \, a^{4} c d^{3}\right)} n^{2} + {\left(60 \, a^{3} b d^{4} - {\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)} n^{3} - 3 \, {\left(b^{4} c^{3} d - 6 \, a b^{3} c^{2} d^{2} + 9 \, a^{2} b^{2} c d^{3} - 4 \, a^{3} b d^{4}\right)} n^{2} - {\left(2 \, b^{4} c^{3} d - 15 \, a b^{3} c^{2} d^{2} + 60 \, a^{2} b^{2} c d^{3} - 47 \, a^{3} b d^{4}\right)} n\right)} x^{2} - {\left(11 \, a b^{3} c^{4} - 42 \, a^{2} b^{2} c^{3} d + 57 \, a^{3} b c^{2} d^{2} - 26 \, a^{4} c d^{3}\right)} n - {\left(6 \, b^{4} c^{4} - 24 \, a b^{3} c^{3} d + 36 \, a^{2} b^{2} c^{2} d^{2} - 24 \, a^{3} b c d^{3} - 24 \, a^{4} d^{4} + {\left(b^{4} c^{4} - 2 \, a b^{3} c^{3} d + 2 \, a^{3} b c d^{3} - a^{4} d^{4}\right)} n^{3} + 3 \, {\left(2 \, b^{4} c^{4} - 6 \, a b^{3} c^{3} d + 3 \, a^{2} b^{2} c^{2} d^{2} + 4 \, a^{3} b c d^{3} - 3 \, a^{4} d^{4}\right)} n^{2} + {\left(11 \, b^{4} c^{4} - 40 \, a b^{3} c^{3} d + 45 \, a^{2} b^{2} c^{2} d^{2} + 10 \, a^{3} b c d^{3} - 26 \, a^{4} d^{4}\right)} n\right)} x\right)} {\left(b x + a\right)}^{-n - 5} {\left(d x + c\right)}^{n}}{24 \, b^{4} c^{4} - 96 \, a b^{3} c^{3} d + 144 \, a^{2} b^{2} c^{2} d^{2} - 96 \, a^{3} b c d^{3} + 24 \, a^{4} d^{4} + {\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)} n^{4} + 10 \, {\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)} n^{3} + 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)} n^{2} + 50 \, {\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)} n}"," ",0,"(6*b^4*d^4*x^5 - 6*a*b^3*c^4 + 24*a^2*b^2*c^3*d - 36*a^3*b*c^2*d^2 + 24*a^4*c*d^3 + 6*(5*a*b^3*d^4 - (b^4*c*d^3 - a*b^3*d^4)*n)*x^4 - (a*b^3*c^4 - 3*a^2*b^2*c^3*d + 3*a^3*b*c^2*d^2 - a^4*c*d^3)*n^3 + 3*(20*a^2*b^2*d^4 + (b^4*c^2*d^2 - 2*a*b^3*c*d^3 + a^2*b^2*d^4)*n^2 + (b^4*c^2*d^2 - 10*a*b^3*c*d^3 + 9*a^2*b^2*d^4)*n)*x^3 - 3*(2*a*b^3*c^4 - 7*a^2*b^2*c^3*d + 8*a^3*b*c^2*d^2 - 3*a^4*c*d^3)*n^2 + (60*a^3*b*d^4 - (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)*n^3 - 3*(b^4*c^3*d - 6*a*b^3*c^2*d^2 + 9*a^2*b^2*c*d^3 - 4*a^3*b*d^4)*n^2 - (2*b^4*c^3*d - 15*a*b^3*c^2*d^2 + 60*a^2*b^2*c*d^3 - 47*a^3*b*d^4)*n)*x^2 - (11*a*b^3*c^4 - 42*a^2*b^2*c^3*d + 57*a^3*b*c^2*d^2 - 26*a^4*c*d^3)*n - (6*b^4*c^4 - 24*a*b^3*c^3*d + 36*a^2*b^2*c^2*d^2 - 24*a^3*b*c*d^3 - 24*a^4*d^4 + (b^4*c^4 - 2*a*b^3*c^3*d + 2*a^3*b*c*d^3 - a^4*d^4)*n^3 + 3*(2*b^4*c^4 - 6*a*b^3*c^3*d + 3*a^2*b^2*c^2*d^2 + 4*a^3*b*c*d^3 - 3*a^4*d^4)*n^2 + (11*b^4*c^4 - 40*a*b^3*c^3*d + 45*a^2*b^2*c^2*d^2 + 10*a^3*b*c*d^3 - 26*a^4*d^4)*n)*x)*(b*x + a)^(-n - 5)*(d*x + c)^n/(24*b^4*c^4 - 96*a*b^3*c^3*d + 144*a^2*b^2*c^2*d^2 - 96*a^3*b*c*d^3 + 24*a^4*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)*n^4 + 10*(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)*n^3 + 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)*n^2 + 50*(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)*n)","B",0
1872,0,0,0,1.617636," ","integrate((b*x+a)^n/((d*x+c)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{n}}, x\right)"," ",0,"integral((b*x + a)^n/(d*x + c)^n, x)","F",0
1873,0,0,0,1.545109," ","integrate((b*x+a)^n*(d*x+c)^(-1-n),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 1}, x\right)"," ",0,"integral((b*x + a)^n*(d*x + c)^(-n - 1), x)","F",0
1874,1,58,0,1.323139," ","integrate((b*x+a)^n*(d*x+c)^(-2-n),x, algorithm=""fricas"")","\frac{{\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)} {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 2}}{b c - a d + {\left(b c - a d\right)} n}"," ",0,"(b*d*x^2 + a*c + (b*c + a*d)*x)*(b*x + a)^n*(d*x + c)^(-n - 2)/(b*c - a*d + (b*c - a*d)*n)","A",0
1875,1,205,0,1.292315," ","integrate((b*x+a)^n*(d*x+c)^(-3-n),x, algorithm=""fricas"")","\frac{{\left(b^{2} d^{2} x^{3} + 2 \, a b c^{2} - a^{2} c d + {\left(3 \, b^{2} c d + {\left(b^{2} c d - a b d^{2}\right)} n\right)} x^{2} + {\left(a b c^{2} - a^{2} c d\right)} n + {\left(2 \, b^{2} c^{2} + 2 \, a b c d - a^{2} d^{2} + {\left(b^{2} c^{2} - a^{2} d^{2}\right)} n\right)} x\right)} {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 3}}{2 \, b^{2} c^{2} - 4 \, a b c d + 2 \, a^{2} d^{2} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} n^{2} + 3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} n}"," ",0,"(b^2*d^2*x^3 + 2*a*b*c^2 - a^2*c*d + (3*b^2*c*d + (b^2*c*d - a*b*d^2)*n)*x^2 + (a*b*c^2 - a^2*c*d)*n + (2*b^2*c^2 + 2*a*b*c*d - a^2*d^2 + (b^2*c^2 - a^2*d^2)*n)*x)*(b*x + a)^n*(d*x + c)^(-n - 3)/(2*b^2*c^2 - 4*a*b*c*d + 2*a^2*d^2 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*n^2 + 3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*n)","B",0
1876,1,507,0,1.297838," ","integrate((b*x+a)^n*(d*x+c)^(-4-n),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{3} d^{3} x^{4} + 6 \, a b^{2} c^{3} - 6 \, a^{2} b c^{2} d + 2 \, a^{3} c d^{2} + 2 \, {\left(4 \, b^{3} c d^{2} + {\left(b^{3} c d^{2} - a b^{2} d^{3}\right)} n\right)} x^{3} + {\left(a b^{2} c^{3} - 2 \, a^{2} b c^{2} d + a^{3} c d^{2}\right)} n^{2} + {\left(12 \, b^{3} c^{2} d + {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} n^{2} + {\left(7 \, b^{3} c^{2} d - 8 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} n\right)} x^{2} + {\left(5 \, a b^{2} c^{3} - 8 \, a^{2} b c^{2} d + 3 \, a^{3} c d^{2}\right)} n + {\left(6 \, b^{3} c^{3} + 6 \, a b^{2} c^{2} d - 6 \, a^{2} b c d^{2} + 2 \, a^{3} d^{3} + {\left(b^{3} c^{3} - a b^{2} c^{2} d - a^{2} b c d^{2} + a^{3} d^{3}\right)} n^{2} + {\left(5 \, b^{3} c^{3} - a b^{2} c^{2} d - 7 \, a^{2} b c d^{2} + 3 \, a^{3} d^{3}\right)} n\right)} x\right)} {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 4}}{6 \, b^{3} c^{3} - 18 \, a b^{2} c^{2} d + 18 \, a^{2} b c d^{2} - 6 \, a^{3} d^{3} + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} n^{3} + 6 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} n^{2} + 11 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} n}"," ",0,"(2*b^3*d^3*x^4 + 6*a*b^2*c^3 - 6*a^2*b*c^2*d + 2*a^3*c*d^2 + 2*(4*b^3*c*d^2 + (b^3*c*d^2 - a*b^2*d^3)*n)*x^3 + (a*b^2*c^3 - 2*a^2*b*c^2*d + a^3*c*d^2)*n^2 + (12*b^3*c^2*d + (b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*n^2 + (7*b^3*c^2*d - 8*a*b^2*c*d^2 + a^2*b*d^3)*n)*x^2 + (5*a*b^2*c^3 - 8*a^2*b*c^2*d + 3*a^3*c*d^2)*n + (6*b^3*c^3 + 6*a*b^2*c^2*d - 6*a^2*b*c*d^2 + 2*a^3*d^3 + (b^3*c^3 - a*b^2*c^2*d - a^2*b*c*d^2 + a^3*d^3)*n^2 + (5*b^3*c^3 - a*b^2*c^2*d - 7*a^2*b*c*d^2 + 3*a^3*d^3)*n)*x)*(b*x + a)^n*(d*x + c)^(-n - 4)/(6*b^3*c^3 - 18*a*b^2*c^2*d + 18*a^2*b*c*d^2 - 6*a^3*d^3 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*n^3 + 6*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*n^2 + 11*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*n)","B",0
1877,1,954,0,0.924526," ","integrate((b*x+a)^n*(d*x+c)^(-5-n),x, algorithm=""fricas"")","\frac{{\left(6 \, b^{4} d^{4} x^{5} + 24 \, a b^{3} c^{4} - 36 \, a^{2} b^{2} c^{3} d + 24 \, a^{3} b c^{2} d^{2} - 6 \, a^{4} c d^{3} + 6 \, {\left(5 \, b^{4} c d^{3} + {\left(b^{4} c d^{3} - a b^{3} d^{4}\right)} n\right)} x^{4} + {\left(a b^{3} c^{4} - 3 \, a^{2} b^{2} c^{3} d + 3 \, a^{3} b c^{2} d^{2} - a^{4} c d^{3}\right)} n^{3} + 3 \, {\left(20 \, b^{4} c^{2} d^{2} + {\left(b^{4} c^{2} d^{2} - 2 \, a b^{3} c d^{3} + a^{2} b^{2} d^{4}\right)} n^{2} + {\left(9 \, b^{4} c^{2} d^{2} - 10 \, a b^{3} c d^{3} + a^{2} b^{2} d^{4}\right)} n\right)} x^{3} + 3 \, {\left(3 \, a b^{3} c^{4} - 8 \, a^{2} b^{2} c^{3} d + 7 \, a^{3} b c^{2} d^{2} - 2 \, a^{4} c d^{3}\right)} n^{2} + {\left(60 \, b^{4} c^{3} d + {\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)} n^{3} + 3 \, {\left(4 \, b^{4} c^{3} d - 9 \, a b^{3} c^{2} d^{2} + 6 \, a^{2} b^{2} c d^{3} - a^{3} b d^{4}\right)} n^{2} + {\left(47 \, b^{4} c^{3} d - 60 \, a b^{3} c^{2} d^{2} + 15 \, a^{2} b^{2} c d^{3} - 2 \, a^{3} b d^{4}\right)} n\right)} x^{2} + {\left(26 \, a b^{3} c^{4} - 57 \, a^{2} b^{2} c^{3} d + 42 \, a^{3} b c^{2} d^{2} - 11 \, a^{4} c d^{3}\right)} n + {\left(24 \, b^{4} c^{4} + 24 \, a b^{3} c^{3} d - 36 \, a^{2} b^{2} c^{2} d^{2} + 24 \, a^{3} b c d^{3} - 6 \, a^{4} d^{4} + {\left(b^{4} c^{4} - 2 \, a b^{3} c^{3} d + 2 \, a^{3} b c d^{3} - a^{4} d^{4}\right)} n^{3} + 3 \, {\left(3 \, b^{4} c^{4} - 4 \, a b^{3} c^{3} d - 3 \, a^{2} b^{2} c^{2} d^{2} + 6 \, a^{3} b c d^{3} - 2 \, a^{4} d^{4}\right)} n^{2} + {\left(26 \, b^{4} c^{4} - 10 \, a b^{3} c^{3} d - 45 \, a^{2} b^{2} c^{2} d^{2} + 40 \, a^{3} b c d^{3} - 11 \, a^{4} d^{4}\right)} n\right)} x\right)} {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 5}}{24 \, b^{4} c^{4} - 96 \, a b^{3} c^{3} d + 144 \, a^{2} b^{2} c^{2} d^{2} - 96 \, a^{3} b c d^{3} + 24 \, a^{4} d^{4} + {\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)} n^{4} + 10 \, {\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)} n^{3} + 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)} n^{2} + 50 \, {\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)} n}"," ",0,"(6*b^4*d^4*x^5 + 24*a*b^3*c^4 - 36*a^2*b^2*c^3*d + 24*a^3*b*c^2*d^2 - 6*a^4*c*d^3 + 6*(5*b^4*c*d^3 + (b^4*c*d^3 - a*b^3*d^4)*n)*x^4 + (a*b^3*c^4 - 3*a^2*b^2*c^3*d + 3*a^3*b*c^2*d^2 - a^4*c*d^3)*n^3 + 3*(20*b^4*c^2*d^2 + (b^4*c^2*d^2 - 2*a*b^3*c*d^3 + a^2*b^2*d^4)*n^2 + (9*b^4*c^2*d^2 - 10*a*b^3*c*d^3 + a^2*b^2*d^4)*n)*x^3 + 3*(3*a*b^3*c^4 - 8*a^2*b^2*c^3*d + 7*a^3*b*c^2*d^2 - 2*a^4*c*d^3)*n^2 + (60*b^4*c^3*d + (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)*n^3 + 3*(4*b^4*c^3*d - 9*a*b^3*c^2*d^2 + 6*a^2*b^2*c*d^3 - a^3*b*d^4)*n^2 + (47*b^4*c^3*d - 60*a*b^3*c^2*d^2 + 15*a^2*b^2*c*d^3 - 2*a^3*b*d^4)*n)*x^2 + (26*a*b^3*c^4 - 57*a^2*b^2*c^3*d + 42*a^3*b*c^2*d^2 - 11*a^4*c*d^3)*n + (24*b^4*c^4 + 24*a*b^3*c^3*d - 36*a^2*b^2*c^2*d^2 + 24*a^3*b*c*d^3 - 6*a^4*d^4 + (b^4*c^4 - 2*a*b^3*c^3*d + 2*a^3*b*c*d^3 - a^4*d^4)*n^3 + 3*(3*b^4*c^4 - 4*a*b^3*c^3*d - 3*a^2*b^2*c^2*d^2 + 6*a^3*b*c*d^3 - 2*a^4*d^4)*n^2 + (26*b^4*c^4 - 10*a*b^3*c^3*d - 45*a^2*b^2*c^2*d^2 + 40*a^3*b*c*d^3 - 11*a^4*d^4)*n)*x)*(b*x + a)^n*(d*x + c)^(-n - 5)/(24*b^4*c^4 - 96*a*b^3*c^3*d + 144*a^2*b^2*c^2*d^2 - 96*a^3*b*c*d^3 + 24*a^4*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)*n^4 + 10*(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)*n^3 + 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)*n^2 + 50*(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)*n)","B",0
1878,0,0,0,1.377335," ","integrate((b*x+a)^(-2+n)*(d*x+c)^(1-n),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{n - 2} {\left(d x + c\right)}^{-n + 1}, x\right)"," ",0,"integral((b*x + a)^(n - 2)*(d*x + c)^(-n + 1), x)","F",0
1879,0,0,0,1.349094," ","integrate((b*x+a)^(1+n)*(d*x+c)^(-1-n),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{n + 1} {\left(d x + c\right)}^{-n - 1}, x\right)"," ",0,"integral((b*x + a)^(n + 1)*(d*x + c)^(-n - 1), x)","F",0
1880,0,0,0,1.348321," ","integrate((b*x+a)^m/(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{m}}{d x + c}, x\right)"," ",0,"integral((b*x + a)^m/(d*x + c), x)","F",0
1881,1,93,0,1.494384," ","integrate(1/(b*x+a)^2/(d*x+c),x, algorithm=""fricas"")","-\frac{b c - a d + {\left(b d x + a d\right)} \log\left(b x + a\right) - {\left(b d x + a d\right)} \log\left(d x + c\right)}{a b^{2} c^{2} - 2 \, a^{2} b c d + a^{3} d^{2} + {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} x}"," ",0,"-(b*c - a*d + (b*d*x + a*d)*log(b*x + a) - (b*d*x + a*d)*log(d*x + c))/(a*b^2*c^2 - 2*a^2*b*c*d + a^3*d^2 + (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*x)","A",0
1882,1,85,0,1.317317," ","integrate((b*x+a)^m*(a*c*(1+m)+b*c*(2+m)*x)^(-3-m),x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} m + 2 \, b^{2}\right)} x^{3} + {\left(2 \, a b m + 3 \, a b\right)} x^{2} + {\left(a^{2} m + a^{2}\right)} x\right)} {\left(a c m + a c + {\left(b c m + 2 \, b c\right)} x\right)}^{-m - 3} {\left(b x + a\right)}^{m}}{a^{2} m + a^{2}}"," ",0,"((b^2*m + 2*b^2)*x^3 + (2*a*b*m + 3*a*b)*x^2 + (a^2*m + a^2)*x)*(a*c*m + a*c + (b*c*m + 2*b*c)*x)^(-m - 3)*(b*x + a)^m/(a^2*m + a^2)","A",0
1883,1,84,0,1.392495," ","integrate((b*x+a)^(-1-b*c/(-a*d+b*c))*(d*x+c)^(-1+a*d/(-a*d+b*c)),x, algorithm=""fricas"")","\frac{b d x^{3} + a c x + {\left(b c + a d\right)} x^{2}}{{\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}} a c}"," ",0,"(b*d*x^3 + a*c*x + (b*c + a*d)*x^2)/((b*x + a)^((2*b*c - a*d)/(b*c - a*d))*(d*x + c)^((b*c - 2*a*d)/(b*c - a*d))*a*c)","A",0
1884,1,84,0,1.396957," ","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=""fricas"")","\frac{b d x^{3} + a c x + {\left(b c + a d\right)} x^{2}}{{\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}} a c}"," ",0,"(b*d*x^3 + a*c*x + (b*c + a*d)*x^2)/((b*x + a)^((2*b*c - a*d)/(b*c - a*d))*(d*x + c)^((b*c - 2*a*d)/(b*c - a*d))*a*c)","A",0
1885,0,0,0,1.211154," ","integrate((1-x)^n/(1+x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-x + 1\right)}^{n}}{\sqrt{x + 1}}, x\right)"," ",0,"integral((-x + 1)^n/sqrt(x + 1), x)","F",0
1886,0,0,0,1.227114," ","integrate((1+x)^n/(1-x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(x + 1\right)}^{n} \sqrt{-x + 1}}{x - 1}, x\right)"," ",0,"integral(-(x + 1)^n*sqrt(-x + 1)/(x - 1), x)","F",0
1887,0,0,0,1.147917," ","integrate((1-x)^n*(1+x)^(7/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(x^{2} + 2 \, x + 1\right)} {\left(x + 1\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{n}, x\right)"," ",0,"integral((x^2 + 2*x + 1)*(x + 1)^(1/3)*(-x + 1)^n, x)","F",0
1888,0,0,0,1.090448," ","integrate((1-x)^(7/3)*(1+x)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(x^{2} - 2 \, x + 1\right)} {\left(x + 1\right)}^{n} {\left(-x + 1\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((x^2 - 2*x + 1)*(x + 1)^n*(-x + 1)^(1/3), x)","F",0
1889,0,0,0,1.397665," ","integrate((2+3*x)^m/((1+2*x)^m),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(3 \, x + 2\right)}^{m}}{{\left(2 \, x + 1\right)}^{m}}, x\right)"," ",0,"integral((3*x + 2)^m/(2*x + 1)^m, x)","F",0
1890,0,0,0,1.205875," ","integrate((d*(b*x+a)/(a*d-b*c))^m*(d*x+c)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(d x + c\right)}^{n} \left(-\frac{b d x + a d}{b c - a d}\right)^{m}, x\right)"," ",0,"integral((d*x + c)^n*(-(b*d*x + a*d)/(b*c - a*d))^m, x)","F",0
1891,1,22,0,1.166673," ","integrate(d*x^3+c*x^2+b*x+a,x, algorithm=""fricas"")","\frac{1}{4} x^{4} d + \frac{1}{3} x^{3} c + \frac{1}{2} x^{2} b + x a"," ",0,"1/4*x^4*d + 1/3*x^3*c + 1/2*x^2*b + x*a","A",0
1892,1,11,0,1.035507," ","integrate(x^4-x^3,x, algorithm=""fricas"")","\frac{1}{5} x^{5} - \frac{1}{4} x^{4}"," ",0,"1/5*x^5 - 1/4*x^4","A",0
1893,1,9,0,0.965353," ","integrate(x^5-1,x, algorithm=""fricas"")","\frac{1}{6} x^{6} - x"," ",0,"1/6*x^6 - x","A",0
1894,1,9,0,0.967484," ","integrate(7+4*x,x, algorithm=""fricas"")","2 x^{2} + 7 x"," ",0,"2*x^2 + 7*x","A",0
1895,1,12,0,0.712969," ","integrate(pi*x^3+4*x,x, algorithm=""fricas"")","\frac{1}{4} \, \pi x^{4} + 2 \, x^{2}"," ",0,"1/4*pi*x^4 + 2*x^2","A",0
1896,1,9,0,0.718125," ","integrate(5*x^2+2*x,x, algorithm=""fricas"")","\frac{5}{3} x^{3} + x^{2}"," ",0,"5/3*x^3 + x^2","A",0
1897,1,11,0,1.015873," ","integrate(1/2*x^2+1/3*x^3,x, algorithm=""fricas"")","\frac{1}{12} x^{4} + \frac{1}{6} x^{3}"," ",0,"1/12*x^4 + 1/6*x^3","A",0
1898,1,14,0,0.493174," ","integrate(2*x^2-5*x+3,x, algorithm=""fricas"")","\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
1899,1,16,0,1.093611," ","integrate(x^3+x^2-2*x,x, algorithm=""fricas"")","\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
1900,1,12,0,0.992539," ","integrate(-3*x^5-x^2+1,x, algorithm=""fricas"")","-\frac{1}{2} x^{6} - \frac{1}{3} x^{3} + x"," ",0,"-1/2*x^6 - 1/3*x^3 + x","A",0
1901,1,13,0,0.529655," ","integrate(4*x^3+3*x^2+2*x+5,x, algorithm=""fricas"")","x^{4} + x^{3} + x^{2} + 5 x"," ",0,"x^4 + x^3 + x^2 + 5*x","A",0
1902,1,27,0,1.200400," ","integrate(a+d/x^3+c/x^2+b/x,x, algorithm=""fricas"")","\frac{2 \, a x^{3} + 2 \, b x^{2} \log\left(x\right) - 2 \, c x - d}{2 \, x^{2}}"," ",0,"1/2*(2*a*x^3 + 2*b*x^2*log(x) - 2*c*x - d)/x^2","A",0
1903,1,17,0,1.277019," ","integrate(1/x^5+x+x^5,x, algorithm=""fricas"")","\frac{2 \, x^{10} + 6 \, x^{6} - 3}{12 \, x^{4}}"," ",0,"1/12*(2*x^10 + 6*x^6 - 3)/x^4","A",0
1904,1,17,0,1.227509," ","integrate(1/x^3+1/x^2+1/x,x, algorithm=""fricas"")","\frac{2 \, x^{2} \log\left(x\right) - 2 \, x - 1}{2 \, x^{2}}"," ",0,"1/2*(2*x^2*log(x) - 2*x - 1)/x^2","A",0
1905,1,11,0,1.018343," ","integrate(-2/x^2+3/x,x, algorithm=""fricas"")","\frac{3 \, x \log\left(x\right) + 2}{x}"," ",0,"(3*x*log(x) + 2)/x","A",0
1906,1,12,0,1.305748," ","integrate(-1/7/x^6+x^6,x, algorithm=""fricas"")","\frac{5 \, x^{12} + 1}{35 \, x^{5}}"," ",0,"1/35*(5*x^12 + 1)/x^5","A",0
1907,1,9,0,1.192994," ","integrate(1+1/x+x,x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} + x + \log\left(x\right)"," ",0,"1/2*x^2 + x + log(x)","A",0
1908,1,10,0,1.230890," ","integrate(-3/x^3+4/x^2,x, algorithm=""fricas"")","-\frac{8 \, x - 3}{2 \, x^{2}}"," ",0,"-1/2*(8*x - 3)/x^2","A",0
1909,1,11,0,1.285863," ","integrate(1/x+2*x+x^2,x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + x^{2} + \log\left(x\right)"," ",0,"1/3*x^3 + x^2 + log(x)","A",0
1910,1,11,0,1.276481," ","integrate(x^(5/6)-x^3,x, algorithm=""fricas"")","-\frac{1}{4} \, x^{4} + \frac{6}{11} \, x^{\frac{11}{6}}"," ",0,"-1/4*x^4 + 6/11*x^(11/6)","A",0
1911,1,9,0,1.198374," ","integrate(33+x^(1/33),x, algorithm=""fricas"")","\frac{33}{34} \, x^{\frac{34}{33}} + 33 \, x"," ",0,"33/34*x^(34/33) + 33*x","A",0
1912,1,10,0,0.966056," ","integrate(1/2/x^(1/2)+2*x^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(4 \, x + 3\right)} \sqrt{x}"," ",0,"1/3*(4*x + 3)*sqrt(x)","A",0
1913,1,18,0,1.251281," ","integrate(-1/x^2+10/x+6*x^(1/2),x, algorithm=""fricas"")","\frac{4 \, x^{\frac{5}{2}} + 20 \, x \log\left(\sqrt{x}\right) + 1}{x}"," ",0,"(4*x^(5/2) + 20*x*log(sqrt(x)) + 1)/x","A",0
1914,1,10,0,1.199561," ","integrate(1/x^(3/2)+x^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(x^{3} - 5\right)}}{5 \, \sqrt{x}}"," ",0,"2/5*(x^3 - 5)/sqrt(x)","A",0
1915,1,14,0,1.225144," ","integrate(-5*x^(3/2)+7*x^(5/2),x, algorithm=""fricas"")","2 \, {\left(x^{3} - x^{2}\right)} \sqrt{x}"," ",0,"2*(x^3 - x^2)*sqrt(x)","A",0
1916,1,14,0,1.192218," ","integrate(-1/2*x+2/x^(1/2)+x^(1/2),x, algorithm=""fricas"")","-\frac{1}{4} \, x^{2} + \frac{2}{3} \, {\left(x + 6\right)} \sqrt{x}"," ",0,"-1/4*x^2 + 2/3*(x + 6)*sqrt(x)","A",0
1917,1,19,0,1.271951," ","integrate(-2/x+x^(3/2)+1/5*x^(1/2),x, algorithm=""fricas"")","\frac{2}{15} \, {\left(3 \, x^{2} + x\right)} \sqrt{x} - 4 \, \log\left(\sqrt{x}\right)"," ",0,"2/15*(3*x^2 + x)*sqrt(x) - 4*log(sqrt(x))","A",0
