1,1,1,0,1.087482," ","integrate(0,x, algorithm=""giac"")","0"," ",0,"0","A",0
2,1,1,0,1.066846," ","integrate(1,x, algorithm=""giac"")","x"," ",0,"x","A",0
3,1,3,0,1.037156," ","integrate(5,x, algorithm=""giac"")","5 \, x"," ",0,"5*x","A",0
4,1,3,0,1.114136," ","integrate(-2,x, algorithm=""giac"")","-2 \, x"," ",0,"-2*x","A",0
5,1,3,0,1.157915," ","integrate(-3/2,x, algorithm=""giac"")","-\frac{3}{2} \, x"," ",0,"-3/2*x","A",0
6,1,3,0,0.836301," ","integrate(pi,x, algorithm=""giac"")","\pi x"," ",0,"pi*x","A",0
7,1,3,0,0.747377," ","integrate(a,x, algorithm=""giac"")","a x"," ",0,"a*x","A",0
8,1,4,0,1.248252," ","integrate(3*a,x, algorithm=""giac"")","3 \, a x"," ",0,"3*a*x","A",0
9,1,11,0,1.075275," ","integrate(pi/(16-exp(2))^(1/2),x, algorithm=""giac"")","\frac{\pi x}{\sqrt{-e^{2} + 16}}"," ",0,"pi*x/sqrt(-e^2 + 16)","A",0
10,1,5,0,1.181706," ","integrate(x^100,x, algorithm=""giac"")","\frac{1}{101} \, x^{101}"," ",0,"1/101*x^101","A",0
11,1,5,0,1.183197," ","integrate(x^3,x, algorithm=""giac"")","\frac{1}{4} \, x^{4}"," ",0,"1/4*x^4","A",0
12,1,5,0,1.095006," ","integrate(x^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3}"," ",0,"1/3*x^3","A",0
13,1,5,0,0.952913," ","integrate(x,x, algorithm=""giac"")","\frac{1}{2} \, x^{2}"," ",0,"1/2*x^2","A",0
14,1,1,0,1.002157," ","integrate(1,x, algorithm=""giac"")","x"," ",0,"x","A",0
15,1,3,0,0.803026," ","integrate(1/x,x, algorithm=""giac"")","\log\left({\left| x \right|}\right)"," ",0,"log(abs(x))","A",0
16,1,5,0,0.849437," ","integrate(1/x^2,x, algorithm=""giac"")","-\frac{1}{x}"," ",0,"-1/x","A",0
17,1,5,0,0.840687," ","integrate(1/x^3,x, algorithm=""giac"")","-\frac{1}{2 \, x^{2}}"," ",0,"-1/2/x^2","A",0
18,1,5,0,1.132315," ","integrate(1/x^4,x, algorithm=""giac"")","-\frac{1}{3 \, x^{3}}"," ",0,"-1/3/x^3","A",0
19,1,5,0,1.290271," ","integrate(1/x^100,x, algorithm=""giac"")","-\frac{1}{99 \, x^{99}}"," ",0,"-1/99/x^99","A",0
20,1,5,0,0.900430," ","integrate(x^(5/2),x, algorithm=""giac"")","\frac{2}{7} \, x^{\frac{7}{2}}"," ",0,"2/7*x^(7/2)","A",0
21,1,5,0,0.982174," ","integrate(x^(3/2),x, algorithm=""giac"")","\frac{2}{5} \, x^{\frac{5}{2}}"," ",0,"2/5*x^(5/2)","A",0
22,1,5,0,1.041680," ","integrate(x^(1/2),x, algorithm=""giac"")","\frac{2}{3} \, x^{\frac{3}{2}}"," ",0,"2/3*x^(3/2)","A",0
23,1,5,0,1.126524," ","integrate(1/x^(1/2),x, algorithm=""giac"")","2 \, \sqrt{x}"," ",0,"2*sqrt(x)","A",0
24,1,5,0,1.009542," ","integrate(1/x^(3/2),x, algorithm=""giac"")","-\frac{2}{\sqrt{x}}"," ",0,"-2/sqrt(x)","A",0
25,1,5,0,0.924090," ","integrate(1/x^(5/2),x, algorithm=""giac"")","-\frac{2}{3 \, x^{\frac{3}{2}}}"," ",0,"-2/3/x^(3/2)","A",0
26,1,5,0,1.050784," ","integrate(x^(5/3),x, algorithm=""giac"")","\frac{3}{8} \, x^{\frac{8}{3}}"," ",0,"3/8*x^(8/3)","A",0
27,1,5,0,1.046594," ","integrate(x^(4/3),x, algorithm=""giac"")","\frac{3}{7} \, x^{\frac{7}{3}}"," ",0,"3/7*x^(7/3)","A",0
28,1,5,0,0.913391," ","integrate(x^(2/3),x, algorithm=""giac"")","\frac{3}{5} \, x^{\frac{5}{3}}"," ",0,"3/5*x^(5/3)","A",0
29,1,5,0,0.847604," ","integrate(x^(1/3),x, algorithm=""giac"")","\frac{3}{4} \, x^{\frac{4}{3}}"," ",0,"3/4*x^(4/3)","A",0
30,1,5,0,1.135557," ","integrate(1/x^(1/3),x, algorithm=""giac"")","\frac{3}{2} \, x^{\frac{2}{3}}"," ",0,"3/2*x^(2/3)","A",0
31,1,5,0,0.948585," ","integrate(1/x^(2/3),x, algorithm=""giac"")","3 \, x^{\frac{1}{3}}"," ",0,"3*x^(1/3)","A",0
32,1,5,0,1.118515," ","integrate(1/x^(4/3),x, algorithm=""giac"")","-\frac{3}{x^{\frac{1}{3}}}"," ",0,"-3/x^(1/3)","A",0
33,1,5,0,0.922508," ","integrate(1/x^(5/3),x, algorithm=""giac"")","-\frac{3}{2 \, x^{\frac{2}{3}}}"," ",0,"-3/2/x^(2/3)","A",0
34,1,11,0,0.947654," ","integrate(x^n,x, algorithm=""giac"")","\frac{x^{n + 1}}{n + 1}"," ",0,"x^(n + 1)/(n + 1)","A",0
35,1,16,0,1.037003," ","integrate((b*x)^n,x, algorithm=""giac"")","\frac{\left(b x\right)^{n + 1}}{b {\left(n + 1\right)}}"," ",0,"(b*x)^(n + 1)/(b*(n + 1))","A",0
36,1,22,0,1.070745," ","integrate(1/(e*(d*x+c)+(-a)^(1/2)),x, algorithm=""giac"")","\frac{e^{\left(-1\right)} \log\left({\left| {\left(d x + c\right)} e + \sqrt{-a} \right|}\right)}{d}"," ",0,"e^(-1)*log(abs((d*x + c)*e + sqrt(-a)))/d","A",0
37,1,444,0,1.635365," ","integrate((c+d*(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(35 \, {\left(b d x + a d + c\right)}^{\frac{3}{2}} a^{2} d^{2} - 35 \, {\left(3 \, \sqrt{b d x + a d + c} a d - {\left(b d x + a d + c\right)}^{\frac{3}{2}} + 3 \, \sqrt{b d x + a d + c} c\right)} a^{2} d^{2} - 21 \, {\left(b d x + a d + c\right)}^{\frac{5}{2}} a d + 70 \, {\left(b d x + a d + c\right)}^{\frac{3}{2}} a c d - 70 \, {\left(3 \, \sqrt{b d x + a d + c} a d - {\left(b d x + a d + c\right)}^{\frac{3}{2}} + 3 \, \sqrt{b d x + a d + c} c\right)} a c d + 5 \, {\left(b d x + a d + c\right)}^{\frac{7}{2}} - 21 \, {\left(b d x + a d + c\right)}^{\frac{5}{2}} c + 35 \, {\left(b d x + a d + c\right)}^{\frac{3}{2}} c^{2} - 35 \, {\left(3 \, \sqrt{b d x + a d + c} a d - {\left(b d x + a d + c\right)}^{\frac{3}{2}} + 3 \, \sqrt{b d x + a d + c} c\right)} c^{2} + 7 \, {\left(15 \, \sqrt{b d x + a d + c} a^{2} d^{2} - 10 \, {\left(b d x + a d + c\right)}^{\frac{3}{2}} a d + 30 \, \sqrt{b d x + a d + c} a c d + 3 \, {\left(b d x + a d + c\right)}^{\frac{5}{2}} - 10 \, {\left(b d x + a d + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{b d x + a d + c} c^{2}\right)} a d + 7 \, {\left(15 \, \sqrt{b d x + a d + c} a^{2} d^{2} - 10 \, {\left(b d x + a d + c\right)}^{\frac{3}{2}} a d + 30 \, \sqrt{b d x + a d + c} a c d + 3 \, {\left(b d x + a d + c\right)}^{\frac{5}{2}} - 10 \, {\left(b d x + a d + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{b d x + a d + c} c^{2}\right)} c\right)}}{35 \, b d}"," ",0,"2/35*(35*(b*d*x + a*d + c)^(3/2)*a^2*d^2 - 35*(3*sqrt(b*d*x + a*d + c)*a*d - (b*d*x + a*d + c)^(3/2) + 3*sqrt(b*d*x + a*d + c)*c)*a^2*d^2 - 21*(b*d*x + a*d + c)^(5/2)*a*d + 70*(b*d*x + a*d + c)^(3/2)*a*c*d - 70*(3*sqrt(b*d*x + a*d + c)*a*d - (b*d*x + a*d + c)^(3/2) + 3*sqrt(b*d*x + a*d + c)*c)*a*c*d + 5*(b*d*x + a*d + c)^(7/2) - 21*(b*d*x + a*d + c)^(5/2)*c + 35*(b*d*x + a*d + c)^(3/2)*c^2 - 35*(3*sqrt(b*d*x + a*d + c)*a*d - (b*d*x + a*d + c)^(3/2) + 3*sqrt(b*d*x + a*d + c)*c)*c^2 + 7*(15*sqrt(b*d*x + a*d + c)*a^2*d^2 - 10*(b*d*x + a*d + c)^(3/2)*a*d + 30*sqrt(b*d*x + a*d + c)*a*c*d + 3*(b*d*x + a*d + c)^(5/2) - 10*(b*d*x + a*d + c)^(3/2)*c + 15*sqrt(b*d*x + a*d + c)*c^2)*a*d + 7*(15*sqrt(b*d*x + a*d + c)*a^2*d^2 - 10*(b*d*x + a*d + c)^(3/2)*a*d + 30*sqrt(b*d*x + a*d + c)*a*c*d + 3*(b*d*x + a*d + c)^(5/2) - 10*(b*d*x + a*d + c)^(3/2)*c + 15*sqrt(b*d*x + a*d + c)*c^2)*c)/(b*d)","B",0
38,1,195,0,1.042685," ","integrate((c+d*(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(30 \, \sqrt{b d x + a d + c} a^{2} d^{2} - 10 \, {\left(b d x + a d + c\right)}^{\frac{3}{2}} a d + 60 \, \sqrt{b d x + a d + c} a c d - 10 \, {\left(3 \, \sqrt{b d x + a d + c} a d - {\left(b d x + a d + c\right)}^{\frac{3}{2}} + 3 \, \sqrt{b d x + a d + c} c\right)} a d + 3 \, {\left(b d x + a d + c\right)}^{\frac{5}{2}} - 10 \, {\left(b d x + a d + c\right)}^{\frac{3}{2}} c + 30 \, \sqrt{b d x + a d + c} c^{2} - 10 \, {\left(3 \, \sqrt{b d x + a d + c} a d - {\left(b d x + a d + c\right)}^{\frac{3}{2}} + 3 \, \sqrt{b d x + a d + c} c\right)} c\right)}}{15 \, b d}"," ",0,"2/15*(30*sqrt(b*d*x + a*d + c)*a^2*d^2 - 10*(b*d*x + a*d + c)^(3/2)*a*d + 60*sqrt(b*d*x + a*d + c)*a*c*d - 10*(3*sqrt(b*d*x + a*d + c)*a*d - (b*d*x + a*d + c)^(3/2) + 3*sqrt(b*d*x + a*d + c)*c)*a*d + 3*(b*d*x + a*d + c)^(5/2) - 10*(b*d*x + a*d + c)^(3/2)*c + 30*sqrt(b*d*x + a*d + c)*c^2 - 10*(3*sqrt(b*d*x + a*d + c)*a*d - (b*d*x + a*d + c)^(3/2) + 3*sqrt(b*d*x + a*d + c)*c)*c)/(b*d)","B",0
39,1,19,0,1.070419," ","integrate((c+d*(b*x+a))^(1/2),x, algorithm=""giac"")","\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
40,1,19,0,1.165103," ","integrate(1/(c+d*(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b d x + a d + c}}{b d}"," ",0,"2*sqrt(b*d*x + a*d + c)/(b*d)","A",0
41,1,19,0,1.645218," ","integrate(1/(c+d*(b*x+a))^(3/2),x, algorithm=""giac"")","-\frac{2}{\sqrt{b d x + a d + c} b d}"," ",0,"-2/(sqrt(b*d*x + a*d + c)*b*d)","A",0
42,1,19,0,1.317115," ","integrate(1/(c+d*(b*x+a))^(5/2),x, algorithm=""giac"")","-\frac{2}{3 \, {\left(b d x + a d + c\right)}^{\frac{3}{2}} b d}"," ",0,"-2/3/((b*d*x + a*d + c)^(3/2)*b*d)","A",0
43,1,13,0,1.215854," ","integrate(x^3*(b*x+a),x, algorithm=""giac"")","\frac{1}{5} \, b x^{5} + \frac{1}{4} \, a x^{4}"," ",0,"1/5*b*x^5 + 1/4*a*x^4","A",0
44,1,13,0,1.737724," ","integrate(x^2*(b*x+a),x, algorithm=""giac"")","\frac{1}{4} \, b x^{4} + \frac{1}{3} \, a x^{3}"," ",0,"1/4*b*x^4 + 1/3*a*x^3","A",0
45,1,13,0,1.172269," ","integrate(x*(b*x+a),x, algorithm=""giac"")","\frac{1}{3} \, b x^{3} + \frac{1}{2} \, a x^{2}"," ",0,"1/3*b*x^3 + 1/2*a*x^2","A",0
46,1,10,0,1.248102," ","integrate(b*x+a,x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} + a x"," ",0,"1/2*b*x^2 + a*x","A",0
47,1,9,0,1.057355," ","integrate((b*x+a)/x,x, algorithm=""giac"")","b x + a \log\left({\left| x \right|}\right)"," ",0,"b*x + a*log(abs(x))","A",0
48,1,12,0,1.047569," ","integrate((b*x+a)/x^2,x, algorithm=""giac"")","b \log\left({\left| x \right|}\right) - \frac{a}{x}"," ",0,"b*log(abs(x)) - a/x","A",0
49,1,11,0,1.222627," ","integrate((b*x+a)/x^3,x, algorithm=""giac"")","-\frac{2 \, b x + a}{2 \, x^{2}}"," ",0,"-1/2*(2*b*x + a)/x^2","A",0
50,1,13,0,1.383410," ","integrate((b*x+a)/x^4,x, algorithm=""giac"")","-\frac{3 \, b x + 2 \, a}{6 \, x^{3}}"," ",0,"-1/6*(3*b*x + 2*a)/x^3","A",0
51,1,13,0,1.678615," ","integrate((b*x+a)/x^5,x, algorithm=""giac"")","-\frac{4 \, b x + 3 \, a}{12 \, x^{4}}"," ",0,"-1/12*(4*b*x + 3*a)/x^4","A",0
52,1,24,0,1.610919," ","integrate(x^3*(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{6} \, b^{2} x^{6} + \frac{2}{5} \, a b x^{5} + \frac{1}{4} \, a^{2} x^{4}"," ",0,"1/6*b^2*x^6 + 2/5*a*b*x^5 + 1/4*a^2*x^4","A",0
53,1,24,0,1.023121," ","integrate(x^2*(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{5} \, b^{2} x^{5} + \frac{1}{2} \, a b x^{4} + \frac{1}{3} \, a^{2} x^{3}"," ",0,"1/5*b^2*x^5 + 1/2*a*b*x^4 + 1/3*a^2*x^3","A",0
54,1,24,0,1.413542," ","integrate(x*(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{4} \, b^{2} x^{4} + \frac{2}{3} \, a b x^{3} + \frac{1}{2} \, a^{2} x^{2}"," ",0,"1/4*b^2*x^4 + 2/3*a*b*x^3 + 1/2*a^2*x^2","A",0
55,1,12,0,1.162591," ","integrate((b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{3}}{3 \, b}"," ",0,"1/3*(b*x + a)^3/b","A",0
56,1,21,0,1.349810," ","integrate((b*x+a)^2/x,x, algorithm=""giac"")","\frac{1}{2} \, b^{2} x^{2} + 2 \, a b x + a^{2} \log\left({\left| x \right|}\right)"," ",0,"1/2*b^2*x^2 + 2*a*b*x + a^2*log(abs(x))","A",0
57,1,21,0,1.091824," ","integrate((b*x+a)^2/x^2,x, algorithm=""giac"")","b^{2} x + 2 \, a b \log\left({\left| x \right|}\right) - \frac{a^{2}}{x}"," ",0,"b^2*x + 2*a*b*log(abs(x)) - a^2/x","A",0
58,1,22,0,1.179281," ","integrate((b*x+a)^2/x^3,x, algorithm=""giac"")","b^{2} \log\left({\left| x \right|}\right) - \frac{4 \, a b x + a^{2}}{2 \, x^{2}}"," ",0,"b^2*log(abs(x)) - 1/2*(4*a*b*x + a^2)/x^2","A",0
59,1,22,0,1.478663," ","integrate((b*x+a)^2/x^4,x, algorithm=""giac"")","-\frac{3 \, b^{2} x^{2} + 3 \, a b x + a^{2}}{3 \, x^{3}}"," ",0,"-1/3*(3*b^2*x^2 + 3*a*b*x + a^2)/x^3","A",0
60,1,24,0,1.116406," ","integrate((b*x+a)^2/x^5,x, algorithm=""giac"")","-\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
61,1,24,0,1.191355," ","integrate((b*x+a)^2/x^6,x, algorithm=""giac"")","-\frac{10 \, b^{2} x^{2} + 15 \, a b x + 6 \, a^{2}}{30 \, x^{5}}"," ",0,"-1/30*(10*b^2*x^2 + 15*a*b*x + 6*a^2)/x^5","A",0
62,1,24,0,1.068555," ","integrate((b*x+a)^2/x^7,x, algorithm=""giac"")","-\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
63,1,24,0,1.198914," ","integrate((b*x+a)^2/x^8,x, algorithm=""giac"")","-\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
64,1,35,0,1.217709," ","integrate(x^4*(b*x+a)^3,x, algorithm=""giac"")","\frac{1}{8} \, b^{3} x^{8} + \frac{3}{7} \, a b^{2} x^{7} + \frac{1}{2} \, a^{2} b x^{6} + \frac{1}{5} \, a^{3} x^{5}"," ",0,"1/8*b^3*x^8 + 3/7*a*b^2*x^7 + 1/2*a^2*b*x^6 + 1/5*a^3*x^5","A",0
65,1,35,0,1.272302," ","integrate(x^3*(b*x+a)^3,x, algorithm=""giac"")","\frac{1}{7} \, b^{3} x^{7} + \frac{1}{2} \, a b^{2} x^{6} + \frac{3}{5} \, a^{2} b x^{5} + \frac{1}{4} \, a^{3} x^{4}"," ",0,"1/7*b^3*x^7 + 1/2*a*b^2*x^6 + 3/5*a^2*b*x^5 + 1/4*a^3*x^4","A",0
66,1,35,0,1.220651," ","integrate(x^2*(b*x+a)^3,x, algorithm=""giac"")","\frac{1}{6} \, b^{3} x^{6} + \frac{3}{5} \, a b^{2} x^{5} + \frac{3}{4} \, a^{2} b x^{4} + \frac{1}{3} \, a^{3} x^{3}"," ",0,"1/6*b^3*x^6 + 3/5*a*b^2*x^5 + 3/4*a^2*b*x^4 + 1/3*a^3*x^3","A",0
67,1,34,0,1.205710," ","integrate(x*(b*x+a)^3,x, algorithm=""giac"")","\frac{1}{5} \, b^{3} x^{5} + \frac{3}{4} \, a b^{2} x^{4} + a^{2} b x^{3} + \frac{1}{2} \, a^{3} x^{2}"," ",0,"1/5*b^3*x^5 + 3/4*a*b^2*x^4 + a^2*b*x^3 + 1/2*a^3*x^2","A",0
68,1,12,0,1.364446," ","integrate((b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{4}}{4 \, b}"," ",0,"1/4*(b*x + a)^4/b","A",0
69,1,32,0,0.948969," ","integrate((b*x+a)^3/x,x, algorithm=""giac"")","\frac{1}{3} \, b^{3} x^{3} + \frac{3}{2} \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3} \log\left({\left| x \right|}\right)"," ",0,"1/3*b^3*x^3 + 3/2*a*b^2*x^2 + 3*a^2*b*x + a^3*log(abs(x))","A",0
70,1,33,0,1.357134," ","integrate((b*x+a)^3/x^2,x, algorithm=""giac"")","\frac{1}{2} \, b^{3} x^{2} + 3 \, a b^{2} x + 3 \, a^{2} b \log\left({\left| x \right|}\right) - \frac{a^{3}}{x}"," ",0,"1/2*b^3*x^2 + 3*a*b^2*x + 3*a^2*b*log(abs(x)) - a^3/x","A",0
71,1,31,0,1.176547," ","integrate((b*x+a)^3/x^3,x, algorithm=""giac"")","b^{3} x + 3 \, a b^{2} \log\left({\left| x \right|}\right) - \frac{6 \, a^{2} b x + a^{3}}{2 \, x^{2}}"," ",0,"b^3*x + 3*a*b^2*log(abs(x)) - 1/2*(6*a^2*b*x + a^3)/x^2","A",0
72,1,35,0,1.140541," ","integrate((b*x+a)^3/x^4,x, algorithm=""giac"")","b^{3} \log\left({\left| x \right|}\right) - \frac{18 \, a b^{2} x^{2} + 9 \, a^{2} b x + 2 \, a^{3}}{6 \, x^{3}}"," ",0,"b^3*log(abs(x)) - 1/6*(18*a*b^2*x^2 + 9*a^2*b*x + 2*a^3)/x^3","A",0
73,1,33,0,1.285701," ","integrate((b*x+a)^3/x^5,x, algorithm=""giac"")","-\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
74,1,35,0,1.133196," ","integrate((b*x+a)^3/x^6,x, algorithm=""giac"")","-\frac{10 \, b^{3} x^{3} + 20 \, a b^{2} x^{2} + 15 \, a^{2} b x + 4 \, a^{3}}{20 \, x^{5}}"," ",0,"-1/20*(10*b^3*x^3 + 20*a*b^2*x^2 + 15*a^2*b*x + 4*a^3)/x^5","A",0
75,1,35,0,1.152444," ","integrate((b*x+a)^3/x^7,x, algorithm=""giac"")","-\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
76,1,35,0,1.122959," ","integrate((b*x+a)^3/x^8,x, algorithm=""giac"")","-\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
77,1,56,0,0.940294," ","integrate(x^6*(b*x+a)^5,x, algorithm=""giac"")","\frac{1}{12} \, b^{5} x^{12} + \frac{5}{11} \, a b^{4} x^{11} + a^{2} b^{3} x^{10} + \frac{10}{9} \, a^{3} b^{2} x^{9} + \frac{5}{8} \, a^{4} b x^{8} + \frac{1}{7} \, a^{5} x^{7}"," ",0,"1/12*b^5*x^12 + 5/11*a*b^4*x^11 + a^2*b^3*x^10 + 10/9*a^3*b^2*x^9 + 5/8*a^4*b*x^8 + 1/7*a^5*x^7","A",0
78,1,57,0,1.204724," ","integrate(x^5*(b*x+a)^5,x, algorithm=""giac"")","\frac{1}{11} \, b^{5} x^{11} + \frac{1}{2} \, a b^{4} x^{10} + \frac{10}{9} \, a^{2} b^{3} x^{9} + \frac{5}{4} \, a^{3} b^{2} x^{8} + \frac{5}{7} \, a^{4} b x^{7} + \frac{1}{6} \, a^{5} x^{6}"," ",0,"1/11*b^5*x^11 + 1/2*a*b^4*x^10 + 10/9*a^2*b^3*x^9 + 5/4*a^3*b^2*x^8 + 5/7*a^4*b*x^7 + 1/6*a^5*x^6","A",0
79,1,57,0,1.095344," ","integrate(x^4*(b*x+a)^5,x, algorithm=""giac"")","\frac{1}{10} \, b^{5} x^{10} + \frac{5}{9} \, a b^{4} x^{9} + \frac{5}{4} \, a^{2} b^{3} x^{8} + \frac{10}{7} \, a^{3} b^{2} x^{7} + \frac{5}{6} \, a^{4} b x^{6} + \frac{1}{5} \, a^{5} x^{5}"," ",0,"1/10*b^5*x^10 + 5/9*a*b^4*x^9 + 5/4*a^2*b^3*x^8 + 10/7*a^3*b^2*x^7 + 5/6*a^4*b*x^6 + 1/5*a^5*x^5","A",0
80,1,56,0,1.047279," ","integrate(x^3*(b*x+a)^5,x, algorithm=""giac"")","\frac{1}{9} \, b^{5} x^{9} + \frac{5}{8} \, a b^{4} x^{8} + \frac{10}{7} \, a^{2} b^{3} x^{7} + \frac{5}{3} \, a^{3} b^{2} x^{6} + a^{4} b x^{5} + \frac{1}{4} \, a^{5} x^{4}"," ",0,"1/9*b^5*x^9 + 5/8*a*b^4*x^8 + 10/7*a^2*b^3*x^7 + 5/3*a^3*b^2*x^6 + a^4*b*x^5 + 1/4*a^5*x^4","A",0
81,1,57,0,1.714977," ","integrate(x^2*(b*x+a)^5,x, algorithm=""giac"")","\frac{1}{8} \, b^{5} x^{8} + \frac{5}{7} \, a b^{4} x^{7} + \frac{5}{3} \, a^{2} b^{3} x^{6} + 2 \, a^{3} b^{2} x^{5} + \frac{5}{4} \, a^{4} b x^{4} + \frac{1}{3} \, a^{5} x^{3}"," ",0,"1/8*b^5*x^8 + 5/7*a*b^4*x^7 + 5/3*a^2*b^3*x^6 + 2*a^3*b^2*x^5 + 5/4*a^4*b*x^4 + 1/3*a^5*x^3","A",0
82,1,57,0,0.930057," ","integrate(x*(b*x+a)^5,x, algorithm=""giac"")","\frac{1}{7} \, b^{5} x^{7} + \frac{5}{6} \, a b^{4} x^{6} + 2 \, a^{2} b^{3} x^{5} + \frac{5}{2} \, a^{3} b^{2} x^{4} + \frac{5}{3} \, a^{4} b x^{3} + \frac{1}{2} \, a^{5} x^{2}"," ",0,"1/7*b^5*x^7 + 5/6*a*b^4*x^6 + 2*a^2*b^3*x^5 + 5/2*a^3*b^2*x^4 + 5/3*a^4*b*x^3 + 1/2*a^5*x^2","B",0
83,1,12,0,1.201865," ","integrate((b*x+a)^5,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{6}}{6 \, b}"," ",0,"1/6*(b*x + a)^6/b","A",0
84,1,54,0,1.115954," ","integrate((b*x+a)^5/x,x, algorithm=""giac"")","\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({\left| x \right|}\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(abs(x))","A",0
85,1,55,0,1.275212," ","integrate((b*x+a)^5/x^2,x, algorithm=""giac"")","\frac{1}{4} \, b^{5} x^{4} + \frac{5}{3} \, a b^{4} x^{3} + 5 \, a^{2} b^{3} x^{2} + 10 \, a^{3} b^{2} x + 5 \, a^{4} b \log\left({\left| x \right|}\right) - \frac{a^{5}}{x}"," ",0,"1/4*b^5*x^4 + 5/3*a*b^4*x^3 + 5*a^2*b^3*x^2 + 10*a^3*b^2*x + 5*a^4*b*log(abs(x)) - a^5/x","A",0
86,1,54,0,1.186800," ","integrate((b*x+a)^5/x^3,x, algorithm=""giac"")","\frac{1}{3} \, b^{5} x^{3} + \frac{5}{2} \, a b^{4} x^{2} + 10 \, a^{2} b^{3} x + 10 \, a^{3} b^{2} \log\left({\left| x \right|}\right) - \frac{10 \, a^{4} b x + a^{5}}{2 \, x^{2}}"," ",0,"1/3*b^5*x^3 + 5/2*a*b^4*x^2 + 10*a^2*b^3*x + 10*a^3*b^2*log(abs(x)) - 1/2*(10*a^4*b*x + a^5)/x^2","A",0
87,1,56,0,0.995248," ","integrate((b*x+a)^5/x^4,x, algorithm=""giac"")","\frac{1}{2} \, b^{5} x^{2} + 5 \, a b^{4} x + 10 \, a^{2} b^{3} \log\left({\left| x \right|}\right) - \frac{60 \, a^{3} b^{2} x^{2} + 15 \, a^{4} b x + 2 \, a^{5}}{6 \, x^{3}}"," ",0,"1/2*b^5*x^2 + 5*a*b^4*x + 10*a^2*b^3*log(abs(x)) - 1/6*(60*a^3*b^2*x^2 + 15*a^4*b*x + 2*a^5)/x^3","A",0
88,1,55,0,1.380338," ","integrate((b*x+a)^5/x^5,x, algorithm=""giac"")","b^{5} x + 5 \, a b^{4} \log\left({\left| x \right|}\right) - \frac{120 \, a^{2} b^{3} x^{3} + 60 \, a^{3} b^{2} x^{2} + 20 \, a^{4} b x + 3 \, a^{5}}{12 \, x^{4}}"," ",0,"b^5*x + 5*a*b^4*log(abs(x)) - 1/12*(120*a^2*b^3*x^3 + 60*a^3*b^2*x^2 + 20*a^4*b*x + 3*a^5)/x^4","A",0
89,1,57,0,1.368239," ","integrate((b*x+a)^5/x^6,x, algorithm=""giac"")","b^{5} \log\left({\left| x \right|}\right) - \frac{300 \, a b^{4} x^{4} + 300 \, a^{2} b^{3} x^{3} + 200 \, a^{3} b^{2} x^{2} + 75 \, a^{4} b x + 12 \, a^{5}}{60 \, x^{5}}"," ",0,"b^5*log(abs(x)) - 1/60*(300*a*b^4*x^4 + 300*a^2*b^3*x^3 + 200*a^3*b^2*x^2 + 75*a^4*b*x + 12*a^5)/x^5","A",0
90,1,55,0,0.941329," ","integrate((b*x+a)^5/x^7,x, algorithm=""giac"")","-\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
91,1,57,0,1.116212," ","integrate((b*x+a)^5/x^8,x, algorithm=""giac"")","-\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
92,1,57,0,1.100162," ","integrate((b*x+a)^5/x^9,x, algorithm=""giac"")","-\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
93,1,57,0,1.207342," ","integrate((b*x+a)^5/x^10,x, algorithm=""giac"")","-\frac{126 \, b^{5} x^{5} + 504 \, a b^{4} x^{4} + 840 \, a^{2} b^{3} x^{3} + 720 \, a^{3} b^{2} x^{2} + 315 \, a^{4} b x + 56 \, a^{5}}{504 \, x^{9}}"," ",0,"-1/504*(126*b^5*x^5 + 504*a*b^4*x^4 + 840*a^2*b^3*x^3 + 720*a^3*b^2*x^2 + 315*a^4*b*x + 56*a^5)/x^9","A",0
94,1,57,0,1.003090," ","integrate((b*x+a)^5/x^11,x, algorithm=""giac"")","-\frac{252 \, b^{5} x^{5} + 1050 \, a b^{4} x^{4} + 1800 \, a^{2} b^{3} x^{3} + 1575 \, a^{3} b^{2} x^{2} + 700 \, a^{4} b x + 126 \, a^{5}}{1260 \, x^{10}}"," ",0,"-1/1260*(252*b^5*x^5 + 1050*a*b^4*x^4 + 1800*a^2*b^3*x^3 + 1575*a^3*b^2*x^2 + 700*a^4*b*x + 126*a^5)/x^10","A",0
95,1,57,0,1.380706," ","integrate((b*x+a)^5/x^12,x, algorithm=""giac"")","-\frac{462 \, b^{5} x^{5} + 1980 \, a b^{4} x^{4} + 3465 \, a^{2} b^{3} x^{3} + 3080 \, a^{3} b^{2} x^{2} + 1386 \, a^{4} b x + 252 \, a^{5}}{2772 \, x^{11}}"," ",0,"-1/2772*(462*b^5*x^5 + 1980*a*b^4*x^4 + 3465*a^2*b^3*x^3 + 3080*a^3*b^2*x^2 + 1386*a^4*b*x + 252*a^5)/x^11","A",0
96,1,57,0,1.232711," ","integrate((b*x+a)^5/x^13,x, algorithm=""giac"")","-\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
97,1,57,0,1.115947," ","integrate((b*x+a)^5/x^14,x, algorithm=""giac"")","-\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
98,1,79,0,0.951888," ","integrate(x^8*(b*x+a)^7,x, algorithm=""giac"")","\frac{1}{16} \, b^{7} x^{16} + \frac{7}{15} \, a b^{6} x^{15} + \frac{3}{2} \, a^{2} b^{5} x^{14} + \frac{35}{13} \, a^{3} b^{4} x^{13} + \frac{35}{12} \, a^{4} b^{3} x^{12} + \frac{21}{11} \, a^{5} b^{2} x^{11} + \frac{7}{10} \, a^{6} b x^{10} + \frac{1}{9} \, a^{7} x^{9}"," ",0,"1/16*b^7*x^16 + 7/15*a*b^6*x^15 + 3/2*a^2*b^5*x^14 + 35/13*a^3*b^4*x^13 + 35/12*a^4*b^3*x^12 + 21/11*a^5*b^2*x^11 + 7/10*a^6*b*x^10 + 1/9*a^7*x^9","A",0
99,1,79,0,0.992201," ","integrate(x^7*(b*x+a)^7,x, algorithm=""giac"")","\frac{1}{15} \, b^{7} x^{15} + \frac{1}{2} \, a b^{6} x^{14} + \frac{21}{13} \, a^{2} b^{5} x^{13} + \frac{35}{12} \, a^{3} b^{4} x^{12} + \frac{35}{11} \, a^{4} b^{3} x^{11} + \frac{21}{10} \, a^{5} b^{2} x^{10} + \frac{7}{9} \, a^{6} b x^{9} + \frac{1}{8} \, a^{7} x^{8}"," ",0,"1/15*b^7*x^15 + 1/2*a*b^6*x^14 + 21/13*a^2*b^5*x^13 + 35/12*a^3*b^4*x^12 + 35/11*a^4*b^3*x^11 + 21/10*a^5*b^2*x^10 + 7/9*a^6*b*x^9 + 1/8*a^7*x^8","A",0
100,1,79,0,1.009062," ","integrate(x^6*(b*x+a)^7,x, algorithm=""giac"")","\frac{1}{14} \, b^{7} x^{14} + \frac{7}{13} \, a b^{6} x^{13} + \frac{7}{4} \, a^{2} b^{5} x^{12} + \frac{35}{11} \, a^{3} b^{4} x^{11} + \frac{7}{2} \, a^{4} b^{3} x^{10} + \frac{7}{3} \, a^{5} b^{2} x^{9} + \frac{7}{8} \, a^{6} b x^{8} + \frac{1}{7} \, a^{7} x^{7}"," ",0,"1/14*b^7*x^14 + 7/13*a*b^6*x^13 + 7/4*a^2*b^5*x^12 + 35/11*a^3*b^4*x^11 + 7/2*a^4*b^3*x^10 + 7/3*a^5*b^2*x^9 + 7/8*a^6*b*x^8 + 1/7*a^7*x^7","A",0
101,1,78,0,1.082782," ","integrate(x^5*(b*x+a)^7,x, algorithm=""giac"")","\frac{1}{13} \, b^{7} x^{13} + \frac{7}{12} \, a b^{6} x^{12} + \frac{21}{11} \, a^{2} b^{5} x^{11} + \frac{7}{2} \, a^{3} b^{4} x^{10} + \frac{35}{9} \, a^{4} b^{3} x^{9} + \frac{21}{8} \, a^{5} b^{2} x^{8} + a^{6} b x^{7} + \frac{1}{6} \, a^{7} x^{6}"," ",0,"1/13*b^7*x^13 + 7/12*a*b^6*x^12 + 21/11*a^2*b^5*x^11 + 7/2*a^3*b^4*x^10 + 35/9*a^4*b^3*x^9 + 21/8*a^5*b^2*x^8 + a^6*b*x^7 + 1/6*a^7*x^6","A",0
102,1,79,0,1.127088," ","integrate(x^4*(b*x+a)^7,x, algorithm=""giac"")","\frac{1}{12} \, b^{7} x^{12} + \frac{7}{11} \, a b^{6} x^{11} + \frac{21}{10} \, a^{2} b^{5} x^{10} + \frac{35}{9} \, a^{3} b^{4} x^{9} + \frac{35}{8} \, a^{4} b^{3} x^{8} + 3 \, a^{5} b^{2} x^{7} + \frac{7}{6} \, a^{6} b x^{6} + \frac{1}{5} \, a^{7} x^{5}"," ",0,"1/12*b^7*x^12 + 7/11*a*b^6*x^11 + 21/10*a^2*b^5*x^10 + 35/9*a^3*b^4*x^9 + 35/8*a^4*b^3*x^8 + 3*a^5*b^2*x^7 + 7/6*a^6*b*x^6 + 1/5*a^7*x^5","A",0
103,1,79,0,1.221335," ","integrate(x^3*(b*x+a)^7,x, algorithm=""giac"")","\frac{1}{11} \, b^{7} x^{11} + \frac{7}{10} \, a b^{6} x^{10} + \frac{7}{3} \, a^{2} b^{5} x^{9} + \frac{35}{8} \, a^{3} b^{4} x^{8} + 5 \, a^{4} b^{3} x^{7} + \frac{7}{2} \, a^{5} b^{2} x^{6} + \frac{7}{5} \, a^{6} b x^{5} + \frac{1}{4} \, a^{7} x^{4}"," ",0,"1/11*b^7*x^11 + 7/10*a*b^6*x^10 + 7/3*a^2*b^5*x^9 + 35/8*a^3*b^4*x^8 + 5*a^4*b^3*x^7 + 7/2*a^5*b^2*x^6 + 7/5*a^6*b*x^5 + 1/4*a^7*x^4","A",0
104,1,79,0,0.911109," ","integrate(x^2*(b*x+a)^7,x, algorithm=""giac"")","\frac{1}{10} \, b^{7} x^{10} + \frac{7}{9} \, a b^{6} x^{9} + \frac{21}{8} \, a^{2} b^{5} x^{8} + 5 \, a^{3} b^{4} x^{7} + \frac{35}{6} \, a^{4} b^{3} x^{6} + \frac{21}{5} \, a^{5} b^{2} x^{5} + \frac{7}{4} \, a^{6} b x^{4} + \frac{1}{3} \, a^{7} x^{3}"," ",0,"1/10*b^7*x^10 + 7/9*a*b^6*x^9 + 21/8*a^2*b^5*x^8 + 5*a^3*b^4*x^7 + 35/6*a^4*b^3*x^6 + 21/5*a^5*b^2*x^5 + 7/4*a^6*b*x^4 + 1/3*a^7*x^3","A",0
105,1,79,0,0.918242," ","integrate(x*(b*x+a)^7,x, algorithm=""giac"")","\frac{1}{9} \, b^{7} x^{9} + \frac{7}{8} \, a b^{6} x^{8} + 3 \, a^{2} b^{5} x^{7} + \frac{35}{6} \, a^{3} b^{4} x^{6} + 7 \, a^{4} b^{3} x^{5} + \frac{21}{4} \, a^{5} b^{2} x^{4} + \frac{7}{3} \, a^{6} b x^{3} + \frac{1}{2} \, a^{7} x^{2}"," ",0,"1/9*b^7*x^9 + 7/8*a*b^6*x^8 + 3*a^2*b^5*x^7 + 35/6*a^3*b^4*x^6 + 7*a^4*b^3*x^5 + 21/4*a^5*b^2*x^4 + 7/3*a^6*b*x^3 + 1/2*a^7*x^2","B",0
106,1,12,0,1.062230," ","integrate((b*x+a)^7,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{8}}{8 \, b}"," ",0,"1/8*(b*x + a)^8/b","A",0
107,1,76,0,1.300827," ","integrate((b*x+a)^7/x,x, algorithm=""giac"")","\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({\left| x \right|}\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(abs(x))","A",0
108,1,77,0,1.123440," ","integrate((b*x+a)^7/x^2,x, algorithm=""giac"")","\frac{1}{6} \, b^{7} x^{6} + \frac{7}{5} \, a b^{6} x^{5} + \frac{21}{4} \, a^{2} b^{5} x^{4} + \frac{35}{3} \, a^{3} b^{4} x^{3} + \frac{35}{2} \, a^{4} b^{3} x^{2} + 21 \, a^{5} b^{2} x + 7 \, a^{6} b \log\left({\left| x \right|}\right) - \frac{a^{7}}{x}"," ",0,"1/6*b^7*x^6 + 7/5*a*b^6*x^5 + 21/4*a^2*b^5*x^4 + 35/3*a^3*b^4*x^3 + 35/2*a^4*b^3*x^2 + 21*a^5*b^2*x + 7*a^6*b*log(abs(x)) - a^7/x","A",0
109,1,76,0,1.059591," ","integrate((b*x+a)^7/x^3,x, algorithm=""giac"")","\frac{1}{5} \, b^{7} x^{5} + \frac{7}{4} \, a b^{6} x^{4} + 7 \, a^{2} b^{5} x^{3} + \frac{35}{2} \, a^{3} b^{4} x^{2} + 35 \, a^{4} b^{3} x + 21 \, a^{5} b^{2} \log\left({\left| x \right|}\right) - \frac{14 \, a^{6} b x + a^{7}}{2 \, x^{2}}"," ",0,"1/5*b^7*x^5 + 7/4*a*b^6*x^4 + 7*a^2*b^5*x^3 + 35/2*a^3*b^4*x^2 + 35*a^4*b^3*x + 21*a^5*b^2*log(abs(x)) - 1/2*(14*a^6*b*x + a^7)/x^2","A",0
110,1,78,0,1.090655," ","integrate((b*x+a)^7/x^4,x, algorithm=""giac"")","\frac{1}{4} \, b^{7} x^{4} + \frac{7}{3} \, a b^{6} x^{3} + \frac{21}{2} \, a^{2} b^{5} x^{2} + 35 \, a^{3} b^{4} x + 35 \, a^{4} b^{3} \log\left({\left| x \right|}\right) - \frac{126 \, a^{5} b^{2} x^{2} + 21 \, a^{6} b x + 2 \, a^{7}}{6 \, x^{3}}"," ",0,"1/4*b^7*x^4 + 7/3*a*b^6*x^3 + 21/2*a^2*b^5*x^2 + 35*a^3*b^4*x + 35*a^4*b^3*log(abs(x)) - 1/6*(126*a^5*b^2*x^2 + 21*a^6*b*x + 2*a^7)/x^3","A",0
111,1,78,0,1.041758," ","integrate((b*x+a)^7/x^5,x, algorithm=""giac"")","\frac{1}{3} \, b^{7} x^{3} + \frac{7}{2} \, a b^{6} x^{2} + 21 \, a^{2} b^{5} x + 35 \, a^{3} b^{4} \log\left({\left| x \right|}\right) - \frac{420 \, a^{4} b^{3} x^{3} + 126 \, a^{5} b^{2} x^{2} + 28 \, a^{6} b x + 3 \, a^{7}}{12 \, x^{4}}"," ",0,"1/3*b^7*x^3 + 7/2*a*b^6*x^2 + 21*a^2*b^5*x + 35*a^3*b^4*log(abs(x)) - 1/12*(420*a^4*b^3*x^3 + 126*a^5*b^2*x^2 + 28*a^6*b*x + 3*a^7)/x^4","A",0
112,1,78,0,1.014366," ","integrate((b*x+a)^7/x^6,x, algorithm=""giac"")","\frac{1}{2} \, b^{7} x^{2} + 7 \, a b^{6} x + 21 \, a^{2} b^{5} \log\left({\left| x \right|}\right) - \frac{700 \, a^{3} b^{4} x^{4} + 350 \, a^{4} b^{3} x^{3} + 140 \, a^{5} b^{2} x^{2} + 35 \, a^{6} b x + 4 \, a^{7}}{20 \, x^{5}}"," ",0,"1/2*b^7*x^2 + 7*a*b^6*x + 21*a^2*b^5*log(abs(x)) - 1/20*(700*a^3*b^4*x^4 + 350*a^4*b^3*x^3 + 140*a^5*b^2*x^2 + 35*a^6*b*x + 4*a^7)/x^5","A",0
113,1,77,0,0.994619," ","integrate((b*x+a)^7/x^7,x, algorithm=""giac"")","b^{7} x + 7 \, a b^{6} \log\left({\left| x \right|}\right) - \frac{1260 \, a^{2} b^{5} x^{5} + 1050 \, a^{3} b^{4} x^{4} + 700 \, a^{4} b^{3} x^{3} + 315 \, a^{5} b^{2} x^{2} + 84 \, a^{6} b x + 10 \, a^{7}}{60 \, x^{6}}"," ",0,"b^7*x + 7*a*b^6*log(abs(x)) - 1/60*(1260*a^2*b^5*x^5 + 1050*a^3*b^4*x^4 + 700*a^4*b^3*x^3 + 315*a^5*b^2*x^2 + 84*a^6*b*x + 10*a^7)/x^6","A",0
114,1,79,0,1.274251," ","integrate((b*x+a)^7/x^8,x, algorithm=""giac"")","b^{7} \log\left({\left| x \right|}\right) - \frac{2940 \, a b^{6} x^{6} + 4410 \, a^{2} b^{5} x^{5} + 4900 \, a^{3} b^{4} x^{4} + 3675 \, a^{4} b^{3} x^{3} + 1764 \, a^{5} b^{2} x^{2} + 490 \, a^{6} b x + 60 \, a^{7}}{420 \, x^{7}}"," ",0,"b^7*log(abs(x)) - 1/420*(2940*a*b^6*x^6 + 4410*a^2*b^5*x^5 + 4900*a^3*b^4*x^4 + 3675*a^4*b^3*x^3 + 1764*a^5*b^2*x^2 + 490*a^6*b*x + 60*a^7)/x^7","A",0
115,1,77,0,0.923164," ","integrate((b*x+a)^7/x^9,x, algorithm=""giac"")","-\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
116,1,79,0,1.006838," ","integrate((b*x+a)^7/x^10,x, algorithm=""giac"")","-\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
117,1,79,0,1.064233," ","integrate((b*x+a)^7/x^11,x, algorithm=""giac"")","-\frac{120 \, b^{7} x^{7} + 630 \, a b^{6} x^{6} + 1512 \, a^{2} b^{5} x^{5} + 2100 \, a^{3} b^{4} x^{4} + 1800 \, a^{4} b^{3} x^{3} + 945 \, a^{5} b^{2} x^{2} + 280 \, a^{6} b x + 36 \, a^{7}}{360 \, x^{10}}"," ",0,"-1/360*(120*b^7*x^7 + 630*a*b^6*x^6 + 1512*a^2*b^5*x^5 + 2100*a^3*b^4*x^4 + 1800*a^4*b^3*x^3 + 945*a^5*b^2*x^2 + 280*a^6*b*x + 36*a^7)/x^10","A",0
118,1,79,0,1.148675," ","integrate((b*x+a)^7/x^12,x, algorithm=""giac"")","-\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
119,1,79,0,1.146596," ","integrate((b*x+a)^7/x^13,x, algorithm=""giac"")","-\frac{792 \, b^{7} x^{7} + 4620 \, a b^{6} x^{6} + 11880 \, a^{2} b^{5} x^{5} + 17325 \, a^{3} b^{4} x^{4} + 15400 \, a^{4} b^{3} x^{3} + 8316 \, a^{5} b^{2} x^{2} + 2520 \, a^{6} b x + 330 \, a^{7}}{3960 \, x^{12}}"," ",0,"-1/3960*(792*b^7*x^7 + 4620*a*b^6*x^6 + 11880*a^2*b^5*x^5 + 17325*a^3*b^4*x^4 + 15400*a^4*b^3*x^3 + 8316*a^5*b^2*x^2 + 2520*a^6*b*x + 330*a^7)/x^12","A",0
120,1,79,0,1.038612," ","integrate((b*x+a)^7/x^14,x, algorithm=""giac"")","-\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
121,1,79,0,0.889738," ","integrate((b*x+a)^7/x^15,x, algorithm=""giac"")","-\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
122,1,79,0,1.002377," ","integrate((b*x+a)^7/x^16,x, algorithm=""giac"")","-\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
123,1,112,0,0.978202," ","integrate(x^11*(b*x+a)^10,x, algorithm=""giac"")","\frac{1}{22} \, b^{10} x^{22} + \frac{10}{21} \, a b^{9} x^{21} + \frac{9}{4} \, a^{2} b^{8} x^{20} + \frac{120}{19} \, a^{3} b^{7} x^{19} + \frac{35}{3} \, a^{4} b^{6} x^{18} + \frac{252}{17} \, a^{5} b^{5} x^{17} + \frac{105}{8} \, a^{6} b^{4} x^{16} + 8 \, a^{7} b^{3} x^{15} + \frac{45}{14} \, a^{8} b^{2} x^{14} + \frac{10}{13} \, a^{9} b x^{13} + \frac{1}{12} \, a^{10} x^{12}"," ",0,"1/22*b^10*x^22 + 10/21*a*b^9*x^21 + 9/4*a^2*b^8*x^20 + 120/19*a^3*b^7*x^19 + 35/3*a^4*b^6*x^18 + 252/17*a^5*b^5*x^17 + 105/8*a^6*b^4*x^16 + 8*a^7*b^3*x^15 + 45/14*a^8*b^2*x^14 + 10/13*a^9*b*x^13 + 1/12*a^10*x^12","A",0
124,1,112,0,0.986845," ","integrate(x^10*(b*x+a)^10,x, algorithm=""giac"")","\frac{1}{21} \, b^{10} x^{21} + \frac{1}{2} \, a b^{9} x^{20} + \frac{45}{19} \, a^{2} b^{8} x^{19} + \frac{20}{3} \, a^{3} b^{7} x^{18} + \frac{210}{17} \, a^{4} b^{6} x^{17} + \frac{63}{4} \, a^{5} b^{5} x^{16} + 14 \, a^{6} b^{4} x^{15} + \frac{60}{7} \, a^{7} b^{3} x^{14} + \frac{45}{13} \, a^{8} b^{2} x^{13} + \frac{5}{6} \, a^{9} b x^{12} + \frac{1}{11} \, a^{10} x^{11}"," ",0,"1/21*b^10*x^21 + 1/2*a*b^9*x^20 + 45/19*a^2*b^8*x^19 + 20/3*a^3*b^7*x^18 + 210/17*a^4*b^6*x^17 + 63/4*a^5*b^5*x^16 + 14*a^6*b^4*x^15 + 60/7*a^7*b^3*x^14 + 45/13*a^8*b^2*x^13 + 5/6*a^9*b*x^12 + 1/11*a^10*x^11","A",0
125,1,112,0,1.119114," ","integrate(x^9*(b*x+a)^10,x, algorithm=""giac"")","\frac{1}{20} \, b^{10} x^{20} + \frac{10}{19} \, a b^{9} x^{19} + \frac{5}{2} \, a^{2} b^{8} x^{18} + \frac{120}{17} \, a^{3} b^{7} x^{17} + \frac{105}{8} \, a^{4} b^{6} x^{16} + \frac{84}{5} \, a^{5} b^{5} x^{15} + 15 \, a^{6} b^{4} x^{14} + \frac{120}{13} \, a^{7} b^{3} x^{13} + \frac{15}{4} \, a^{8} b^{2} x^{12} + \frac{10}{11} \, a^{9} b x^{11} + \frac{1}{10} \, a^{10} x^{10}"," ",0,"1/20*b^10*x^20 + 10/19*a*b^9*x^19 + 5/2*a^2*b^8*x^18 + 120/17*a^3*b^7*x^17 + 105/8*a^4*b^6*x^16 + 84/5*a^5*b^5*x^15 + 15*a^6*b^4*x^14 + 120/13*a^7*b^3*x^13 + 15/4*a^8*b^2*x^12 + 10/11*a^9*b*x^11 + 1/10*a^10*x^10","A",0
126,1,111,0,1.013176," ","integrate(x^8*(b*x+a)^10,x, algorithm=""giac"")","\frac{1}{19} \, b^{10} x^{19} + \frac{5}{9} \, a b^{9} x^{18} + \frac{45}{17} \, a^{2} b^{8} x^{17} + \frac{15}{2} \, a^{3} b^{7} x^{16} + 14 \, a^{4} b^{6} x^{15} + 18 \, a^{5} b^{5} x^{14} + \frac{210}{13} \, a^{6} b^{4} x^{13} + 10 \, a^{7} b^{3} x^{12} + \frac{45}{11} \, a^{8} b^{2} x^{11} + a^{9} b x^{10} + \frac{1}{9} \, a^{10} x^{9}"," ",0,"1/19*b^10*x^19 + 5/9*a*b^9*x^18 + 45/17*a^2*b^8*x^17 + 15/2*a^3*b^7*x^16 + 14*a^4*b^6*x^15 + 18*a^5*b^5*x^14 + 210/13*a^6*b^4*x^13 + 10*a^7*b^3*x^12 + 45/11*a^8*b^2*x^11 + a^9*b*x^10 + 1/9*a^10*x^9","A",0
127,1,112,0,0.835971," ","integrate(x^7*(b*x+a)^10,x, algorithm=""giac"")","\frac{1}{18} \, b^{10} x^{18} + \frac{10}{17} \, a b^{9} x^{17} + \frac{45}{16} \, a^{2} b^{8} x^{16} + 8 \, a^{3} b^{7} x^{15} + 15 \, a^{4} b^{6} x^{14} + \frac{252}{13} \, a^{5} b^{5} x^{13} + \frac{35}{2} \, a^{6} b^{4} x^{12} + \frac{120}{11} \, a^{7} b^{3} x^{11} + \frac{9}{2} \, a^{8} b^{2} x^{10} + \frac{10}{9} \, a^{9} b x^{9} + \frac{1}{8} \, a^{10} x^{8}"," ",0,"1/18*b^10*x^18 + 10/17*a*b^9*x^17 + 45/16*a^2*b^8*x^16 + 8*a^3*b^7*x^15 + 15*a^4*b^6*x^14 + 252/13*a^5*b^5*x^13 + 35/2*a^6*b^4*x^12 + 120/11*a^7*b^3*x^11 + 9/2*a^8*b^2*x^10 + 10/9*a^9*b*x^9 + 1/8*a^10*x^8","A",0
128,1,112,0,1.101992," ","integrate(x^6*(b*x+a)^10,x, algorithm=""giac"")","\frac{1}{17} \, b^{10} x^{17} + \frac{5}{8} \, a b^{9} x^{16} + 3 \, a^{2} b^{8} x^{15} + \frac{60}{7} \, a^{3} b^{7} x^{14} + \frac{210}{13} \, a^{4} b^{6} x^{13} + 21 \, a^{5} b^{5} x^{12} + \frac{210}{11} \, a^{6} b^{4} x^{11} + 12 \, a^{7} b^{3} x^{10} + 5 \, a^{8} b^{2} x^{9} + \frac{5}{4} \, a^{9} b x^{8} + \frac{1}{7} \, a^{10} x^{7}"," ",0,"1/17*b^10*x^17 + 5/8*a*b^9*x^16 + 3*a^2*b^8*x^15 + 60/7*a^3*b^7*x^14 + 210/13*a^4*b^6*x^13 + 21*a^5*b^5*x^12 + 210/11*a^6*b^4*x^11 + 12*a^7*b^3*x^10 + 5*a^8*b^2*x^9 + 5/4*a^9*b*x^8 + 1/7*a^10*x^7","A",0
129,1,112,0,1.143131," ","integrate(x^5*(b*x+a)^10,x, algorithm=""giac"")","\frac{1}{16} \, b^{10} x^{16} + \frac{2}{3} \, a b^{9} x^{15} + \frac{45}{14} \, a^{2} b^{8} x^{14} + \frac{120}{13} \, a^{3} b^{7} x^{13} + \frac{35}{2} \, a^{4} b^{6} x^{12} + \frac{252}{11} \, a^{5} b^{5} x^{11} + 21 \, a^{6} b^{4} x^{10} + \frac{40}{3} \, a^{7} b^{3} x^{9} + \frac{45}{8} \, a^{8} b^{2} x^{8} + \frac{10}{7} \, a^{9} b x^{7} + \frac{1}{6} \, a^{10} x^{6}"," ",0,"1/16*b^10*x^16 + 2/3*a*b^9*x^15 + 45/14*a^2*b^8*x^14 + 120/13*a^3*b^7*x^13 + 35/2*a^4*b^6*x^12 + 252/11*a^5*b^5*x^11 + 21*a^6*b^4*x^10 + 40/3*a^7*b^3*x^9 + 45/8*a^8*b^2*x^8 + 10/7*a^9*b*x^7 + 1/6*a^10*x^6","A",0
130,1,112,0,1.055247," ","integrate(x^4*(b*x+a)^10,x, algorithm=""giac"")","\frac{1}{15} \, b^{10} x^{15} + \frac{5}{7} \, a b^{9} x^{14} + \frac{45}{13} \, a^{2} b^{8} x^{13} + 10 \, a^{3} b^{7} x^{12} + \frac{210}{11} \, a^{4} b^{6} x^{11} + \frac{126}{5} \, a^{5} b^{5} x^{10} + \frac{70}{3} \, a^{6} b^{4} x^{9} + 15 \, a^{7} b^{3} x^{8} + \frac{45}{7} \, a^{8} b^{2} x^{7} + \frac{5}{3} \, a^{9} b x^{6} + \frac{1}{5} \, a^{10} x^{5}"," ",0,"1/15*b^10*x^15 + 5/7*a*b^9*x^14 + 45/13*a^2*b^8*x^13 + 10*a^3*b^7*x^12 + 210/11*a^4*b^6*x^11 + 126/5*a^5*b^5*x^10 + 70/3*a^6*b^4*x^9 + 15*a^7*b^3*x^8 + 45/7*a^8*b^2*x^7 + 5/3*a^9*b*x^6 + 1/5*a^10*x^5","A",0
131,1,112,0,1.087190," ","integrate(x^3*(b*x+a)^10,x, algorithm=""giac"")","\frac{1}{14} \, b^{10} x^{14} + \frac{10}{13} \, a b^{9} x^{13} + \frac{15}{4} \, a^{2} b^{8} x^{12} + \frac{120}{11} \, a^{3} b^{7} x^{11} + 21 \, a^{4} b^{6} x^{10} + 28 \, a^{5} b^{5} x^{9} + \frac{105}{4} \, a^{6} b^{4} x^{8} + \frac{120}{7} \, a^{7} b^{3} x^{7} + \frac{15}{2} \, a^{8} b^{2} x^{6} + 2 \, a^{9} b x^{5} + \frac{1}{4} \, a^{10} x^{4}"," ",0,"1/14*b^10*x^14 + 10/13*a*b^9*x^13 + 15/4*a^2*b^8*x^12 + 120/11*a^3*b^7*x^11 + 21*a^4*b^6*x^10 + 28*a^5*b^5*x^9 + 105/4*a^6*b^4*x^8 + 120/7*a^7*b^3*x^7 + 15/2*a^8*b^2*x^6 + 2*a^9*b*x^5 + 1/4*a^10*x^4","A",0
132,1,112,0,1.178431," ","integrate(x^2*(b*x+a)^10,x, algorithm=""giac"")","\frac{1}{13} \, b^{10} x^{13} + \frac{5}{6} \, a b^{9} x^{12} + \frac{45}{11} \, a^{2} b^{8} x^{11} + 12 \, a^{3} b^{7} x^{10} + \frac{70}{3} \, a^{4} b^{6} x^{9} + \frac{63}{2} \, a^{5} b^{5} x^{8} + 30 \, a^{6} b^{4} x^{7} + 20 \, a^{7} b^{3} x^{6} + 9 \, a^{8} b^{2} x^{5} + \frac{5}{2} \, a^{9} b x^{4} + \frac{1}{3} \, a^{10} x^{3}"," ",0,"1/13*b^10*x^13 + 5/6*a*b^9*x^12 + 45/11*a^2*b^8*x^11 + 12*a^3*b^7*x^10 + 70/3*a^4*b^6*x^9 + 63/2*a^5*b^5*x^8 + 30*a^6*b^4*x^7 + 20*a^7*b^3*x^6 + 9*a^8*b^2*x^5 + 5/2*a^9*b*x^4 + 1/3*a^10*x^3","B",0
133,1,112,0,1.444495," ","integrate(x*(b*x+a)^10,x, algorithm=""giac"")","\frac{1}{12} \, b^{10} x^{12} + \frac{10}{11} \, a b^{9} x^{11} + \frac{9}{2} \, a^{2} b^{8} x^{10} + \frac{40}{3} \, a^{3} b^{7} x^{9} + \frac{105}{4} \, a^{4} b^{6} x^{8} + 36 \, a^{5} b^{5} x^{7} + 35 \, a^{6} b^{4} x^{6} + 24 \, a^{7} b^{3} x^{5} + \frac{45}{4} \, a^{8} b^{2} x^{4} + \frac{10}{3} \, a^{9} b x^{3} + \frac{1}{2} \, a^{10} x^{2}"," ",0,"1/12*b^10*x^12 + 10/11*a*b^9*x^11 + 9/2*a^2*b^8*x^10 + 40/3*a^3*b^7*x^9 + 105/4*a^4*b^6*x^8 + 36*a^5*b^5*x^7 + 35*a^6*b^4*x^6 + 24*a^7*b^3*x^5 + 45/4*a^8*b^2*x^4 + 10/3*a^9*b*x^3 + 1/2*a^10*x^2","B",0
134,1,12,0,1.164433," ","integrate((b*x+a)^10,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{11}}{11 \, b}"," ",0,"1/11*(b*x + a)^11/b","A",0
135,1,109,0,1.075821," ","integrate((b*x+a)^10/x,x, algorithm=""giac"")","\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({\left| x \right|}\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(abs(x))","A",0
136,1,110,0,0.960254," ","integrate((b*x+a)^10/x^2,x, algorithm=""giac"")","\frac{1}{9} \, b^{10} x^{9} + \frac{5}{4} \, a b^{9} x^{8} + \frac{45}{7} \, a^{2} b^{8} x^{7} + 20 \, a^{3} b^{7} x^{6} + 42 \, a^{4} b^{6} x^{5} + 63 \, a^{5} b^{5} x^{4} + 70 \, a^{6} b^{4} x^{3} + 60 \, a^{7} b^{3} x^{2} + 45 \, a^{8} b^{2} x + 10 \, a^{9} b \log\left({\left| x \right|}\right) - \frac{a^{10}}{x}"," ",0,"1/9*b^10*x^9 + 5/4*a*b^9*x^8 + 45/7*a^2*b^8*x^7 + 20*a^3*b^7*x^6 + 42*a^4*b^6*x^5 + 63*a^5*b^5*x^4 + 70*a^6*b^4*x^3 + 60*a^7*b^3*x^2 + 45*a^8*b^2*x + 10*a^9*b*log(abs(x)) - a^10/x","A",0
137,1,109,0,0.928327," ","integrate((b*x+a)^10/x^3,x, algorithm=""giac"")","\frac{1}{8} \, b^{10} x^{8} + \frac{10}{7} \, a b^{9} x^{7} + \frac{15}{2} \, a^{2} b^{8} x^{6} + 24 \, a^{3} b^{7} x^{5} + \frac{105}{2} \, a^{4} b^{6} x^{4} + 84 \, a^{5} b^{5} x^{3} + 105 \, a^{6} b^{4} x^{2} + 120 \, a^{7} b^{3} x + 45 \, a^{8} b^{2} \log\left({\left| x \right|}\right) - \frac{20 \, a^{9} b x + a^{10}}{2 \, x^{2}}"," ",0,"1/8*b^10*x^8 + 10/7*a*b^9*x^7 + 15/2*a^2*b^8*x^6 + 24*a^3*b^7*x^5 + 105/2*a^4*b^6*x^4 + 84*a^5*b^5*x^3 + 105*a^6*b^4*x^2 + 120*a^7*b^3*x + 45*a^8*b^2*log(abs(x)) - 1/2*(20*a^9*b*x + a^10)/x^2","A",0
138,1,109,0,1.139105," ","integrate((b*x+a)^10/x^4,x, algorithm=""giac"")","\frac{1}{7} \, b^{10} x^{7} + \frac{5}{3} \, a b^{9} x^{6} + 9 \, a^{2} b^{8} x^{5} + 30 \, a^{3} b^{7} x^{4} + 70 \, a^{4} b^{6} x^{3} + 126 \, a^{5} b^{5} x^{2} + 210 \, a^{6} b^{4} x + 120 \, a^{7} b^{3} \log\left({\left| x \right|}\right) - \frac{135 \, a^{8} b^{2} x^{2} + 15 \, a^{9} b x + a^{10}}{3 \, x^{3}}"," ",0,"1/7*b^10*x^7 + 5/3*a*b^9*x^6 + 9*a^2*b^8*x^5 + 30*a^3*b^7*x^4 + 70*a^4*b^6*x^3 + 126*a^5*b^5*x^2 + 210*a^6*b^4*x + 120*a^7*b^3*log(abs(x)) - 1/3*(135*a^8*b^2*x^2 + 15*a^9*b*x + a^10)/x^3","A",0
139,1,111,0,1.118173," ","integrate((b*x+a)^10/x^5,x, algorithm=""giac"")","\frac{1}{6} \, b^{10} x^{6} + 2 \, a b^{9} x^{5} + \frac{45}{4} \, a^{2} b^{8} x^{4} + 40 \, a^{3} b^{7} x^{3} + 105 \, a^{4} b^{6} x^{2} + 252 \, a^{5} b^{5} x + 210 \, a^{6} b^{4} \log\left({\left| x \right|}\right) - \frac{1440 \, a^{7} b^{3} x^{3} + 270 \, a^{8} b^{2} x^{2} + 40 \, a^{9} b x + 3 \, a^{10}}{12 \, x^{4}}"," ",0,"1/6*b^10*x^6 + 2*a*b^9*x^5 + 45/4*a^2*b^8*x^4 + 40*a^3*b^7*x^3 + 105*a^4*b^6*x^2 + 252*a^5*b^5*x + 210*a^6*b^4*log(abs(x)) - 1/12*(1440*a^7*b^3*x^3 + 270*a^8*b^2*x^2 + 40*a^9*b*x + 3*a^10)/x^4","A",0
140,1,111,0,1.144826," ","integrate((b*x+a)^10/x^6,x, algorithm=""giac"")","\frac{1}{5} \, b^{10} x^{5} + \frac{5}{2} \, a b^{9} x^{4} + 15 \, a^{2} b^{8} x^{3} + 60 \, a^{3} b^{7} x^{2} + 210 \, a^{4} b^{6} x + 252 \, a^{5} b^{5} \log\left({\left| x \right|}\right) - \frac{2100 \, a^{6} b^{4} x^{4} + 600 \, a^{7} b^{3} x^{3} + 150 \, a^{8} b^{2} x^{2} + 25 \, a^{9} b x + 2 \, a^{10}}{10 \, x^{5}}"," ",0,"1/5*b^10*x^5 + 5/2*a*b^9*x^4 + 15*a^2*b^8*x^3 + 60*a^3*b^7*x^2 + 210*a^4*b^6*x + 252*a^5*b^5*log(abs(x)) - 1/10*(2100*a^6*b^4*x^4 + 600*a^7*b^3*x^3 + 150*a^8*b^2*x^2 + 25*a^9*b*x + 2*a^10)/x^5","A",0
141,1,111,0,1.239572," ","integrate((b*x+a)^10/x^7,x, algorithm=""giac"")","\frac{1}{4} \, b^{10} x^{4} + \frac{10}{3} \, a b^{9} x^{3} + \frac{45}{2} \, a^{2} b^{8} x^{2} + 120 \, a^{3} b^{7} x + 210 \, a^{4} b^{6} \log\left({\left| x \right|}\right) - \frac{3024 \, a^{5} b^{5} x^{5} + 1260 \, a^{6} b^{4} x^{4} + 480 \, a^{7} b^{3} x^{3} + 135 \, a^{8} b^{2} x^{2} + 24 \, a^{9} b x + 2 \, a^{10}}{12 \, x^{6}}"," ",0,"1/4*b^10*x^4 + 10/3*a*b^9*x^3 + 45/2*a^2*b^8*x^2 + 120*a^3*b^7*x + 210*a^4*b^6*log(abs(x)) - 1/12*(3024*a^5*b^5*x^5 + 1260*a^6*b^4*x^4 + 480*a^7*b^3*x^3 + 135*a^8*b^2*x^2 + 24*a^9*b*x + 2*a^10)/x^6","A",0
142,1,111,0,1.099712," ","integrate((b*x+a)^10/x^8,x, algorithm=""giac"")","\frac{1}{3} \, b^{10} x^{3} + 5 \, a b^{9} x^{2} + 45 \, a^{2} b^{8} x + 120 \, a^{3} b^{7} \log\left({\left| x \right|}\right) - \frac{4410 \, a^{4} b^{6} x^{6} + 2646 \, a^{5} b^{5} x^{5} + 1470 \, a^{6} b^{4} x^{4} + 630 \, a^{7} b^{3} x^{3} + 189 \, a^{8} b^{2} x^{2} + 35 \, a^{9} b x + 3 \, a^{10}}{21 \, x^{7}}"," ",0,"1/3*b^10*x^3 + 5*a*b^9*x^2 + 45*a^2*b^8*x + 120*a^3*b^7*log(abs(x)) - 1/21*(4410*a^4*b^6*x^6 + 2646*a^5*b^5*x^5 + 1470*a^6*b^4*x^4 + 630*a^7*b^3*x^3 + 189*a^8*b^2*x^2 + 35*a^9*b*x + 3*a^10)/x^7","A",0
143,1,111,0,1.155784," ","integrate((b*x+a)^10/x^9,x, algorithm=""giac"")","\frac{1}{2} \, b^{10} x^{2} + 10 \, a b^{9} x + 45 \, a^{2} b^{8} \log\left({\left| x \right|}\right) - \frac{6720 \, a^{3} b^{7} x^{7} + 5880 \, a^{4} b^{6} x^{6} + 4704 \, a^{5} b^{5} x^{5} + 2940 \, a^{6} b^{4} x^{4} + 1344 \, a^{7} b^{3} x^{3} + 420 \, a^{8} b^{2} x^{2} + 80 \, a^{9} b x + 7 \, a^{10}}{56 \, x^{8}}"," ",0,"1/2*b^10*x^2 + 10*a*b^9*x + 45*a^2*b^8*log(abs(x)) - 1/56*(6720*a^3*b^7*x^7 + 5880*a^4*b^6*x^6 + 4704*a^5*b^5*x^5 + 2940*a^6*b^4*x^4 + 1344*a^7*b^3*x^3 + 420*a^8*b^2*x^2 + 80*a^9*b*x + 7*a^10)/x^8","A",0
144,1,110,0,1.210572," ","integrate((b*x+a)^10/x^10,x, algorithm=""giac"")","b^{10} x + 10 \, a b^{9} \log\left({\left| x \right|}\right) - \frac{11340 \, a^{2} b^{8} x^{8} + 15120 \, a^{3} b^{7} x^{7} + 17640 \, a^{4} b^{6} x^{6} + 15876 \, a^{5} b^{5} x^{5} + 10584 \, a^{6} b^{4} x^{4} + 5040 \, a^{7} b^{3} x^{3} + 1620 \, a^{8} b^{2} x^{2} + 315 \, a^{9} b x + 28 \, a^{10}}{252 \, x^{9}}"," ",0,"b^10*x + 10*a*b^9*log(abs(x)) - 1/252*(11340*a^2*b^8*x^8 + 15120*a^3*b^7*x^7 + 17640*a^4*b^6*x^6 + 15876*a^5*b^5*x^5 + 10584*a^6*b^4*x^4 + 5040*a^7*b^3*x^3 + 1620*a^8*b^2*x^2 + 315*a^9*b*x + 28*a^10)/x^9","A",0
145,1,112,0,1.128131," ","integrate((b*x+a)^10/x^11,x, algorithm=""giac"")","b^{10} \log\left({\left| x \right|}\right) - \frac{25200 \, a b^{9} x^{9} + 56700 \, a^{2} b^{8} x^{8} + 100800 \, a^{3} b^{7} x^{7} + 132300 \, a^{4} b^{6} x^{6} + 127008 \, a^{5} b^{5} x^{5} + 88200 \, a^{6} b^{4} x^{4} + 43200 \, a^{7} b^{3} x^{3} + 14175 \, a^{8} b^{2} x^{2} + 2800 \, a^{9} b x + 252 \, a^{10}}{2520 \, x^{10}}"," ",0,"b^10*log(abs(x)) - 1/2520*(25200*a*b^9*x^9 + 56700*a^2*b^8*x^8 + 100800*a^3*b^7*x^7 + 132300*a^4*b^6*x^6 + 127008*a^5*b^5*x^5 + 88200*a^6*b^4*x^4 + 43200*a^7*b^3*x^3 + 14175*a^8*b^2*x^2 + 2800*a^9*b*x + 252*a^10)/x^10","A",0
146,1,110,0,1.064215," ","integrate((b*x+a)^10/x^12,x, algorithm=""giac"")","-\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
147,1,112,0,0.962650," ","integrate((b*x+a)^10/x^13,x, algorithm=""giac"")","-\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
148,1,112,0,1.030648," ","integrate((b*x+a)^10/x^14,x, algorithm=""giac"")","-\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
149,1,112,0,0.890828," ","integrate((b*x+a)^10/x^15,x, algorithm=""giac"")","-\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
150,1,112,0,1.516893," ","integrate((b*x+a)^10/x^16,x, algorithm=""giac"")","-\frac{3003 \, b^{10} x^{10} + 25025 \, a b^{9} x^{9} + 96525 \, a^{2} b^{8} x^{8} + 225225 \, a^{3} b^{7} x^{7} + 350350 \, a^{4} b^{6} x^{6} + 378378 \, a^{5} b^{5} x^{5} + 286650 \, a^{6} b^{4} x^{4} + 150150 \, a^{7} b^{3} x^{3} + 51975 \, a^{8} b^{2} x^{2} + 10725 \, a^{9} b x + 1001 \, a^{10}}{15015 \, x^{15}}"," ",0,"-1/15015*(3003*b^10*x^10 + 25025*a*b^9*x^9 + 96525*a^2*b^8*x^8 + 225225*a^3*b^7*x^7 + 350350*a^4*b^6*x^6 + 378378*a^5*b^5*x^5 + 286650*a^6*b^4*x^4 + 150150*a^7*b^3*x^3 + 51975*a^8*b^2*x^2 + 10725*a^9*b*x + 1001*a^10)/x^15","A",0
151,1,112,0,1.100700," ","integrate((b*x+a)^10/x^17,x, algorithm=""giac"")","-\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
152,1,112,0,1.152975," ","integrate((b*x+a)^10/x^18,x, algorithm=""giac"")","-\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
153,1,112,0,0.975234," ","integrate((b*x+a)^10/x^19,x, algorithm=""giac"")","-\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
154,1,112,0,1.110207," ","integrate((b*x+a)^10/x^20,x, algorithm=""giac"")","-\frac{92378 \, b^{10} x^{10} + 831402 \, a b^{9} x^{9} + 3401190 \, a^{2} b^{8} x^{8} + 8314020 \, a^{3} b^{7} x^{7} + 13430340 \, a^{4} b^{6} x^{6} + 14965236 \, a^{5} b^{5} x^{5} + 11639628 \, a^{6} b^{4} x^{4} + 6235515 \, a^{7} b^{3} x^{3} + 2200770 \, a^{8} b^{2} x^{2} + 461890 \, a^{9} b x + 43758 \, a^{10}}{831402 \, x^{19}}"," ",0,"-1/831402*(92378*b^10*x^10 + 831402*a*b^9*x^9 + 3401190*a^2*b^8*x^8 + 8314020*a^3*b^7*x^7 + 13430340*a^4*b^6*x^6 + 14965236*a^5*b^5*x^5 + 11639628*a^6*b^4*x^4 + 6235515*a^7*b^3*x^3 + 2200770*a^8*b^2*x^2 + 461890*a^9*b*x + 43758*a^10)/x^19","A",0
155,1,13,0,1.091591," ","integrate(c*(b*x+a),x, algorithm=""giac"")","\frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} c"," ",0,"1/2*(b*x^2 + 2*a*x)*c","A",0
156,1,17,0,1.204404," ","integrate((c+d)*(b*x+a)/e,x, algorithm=""giac"")","\frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} {\left(c + d\right)} e^{\left(-1\right)}"," ",0,"1/2*(b*x^2 + 2*a*x)*(c + d)*e^(-1)","A",0
157,1,65,0,1.003259," ","integrate(x^5/(b*x+a),x, algorithm=""giac"")","-\frac{a^{5} \log\left({\left| b x + a \right|}\right)}{b^{6}} + \frac{12 \, b^{4} x^{5} - 15 \, a b^{3} x^{4} + 20 \, a^{2} b^{2} x^{3} - 30 \, a^{3} b x^{2} + 60 \, a^{4} x}{60 \, b^{5}}"," ",0,"-a^5*log(abs(b*x + a))/b^6 + 1/60*(12*b^4*x^5 - 15*a*b^3*x^4 + 20*a^2*b^2*x^3 - 30*a^3*b*x^2 + 60*a^4*x)/b^5","A",0
158,1,53,0,1.353275," ","integrate(x^4/(b*x+a),x, algorithm=""giac"")","\frac{a^{4} \log\left({\left| b x + a \right|}\right)}{b^{5}} + \frac{3 \, b^{3} x^{4} - 4 \, a b^{2} x^{3} + 6 \, a^{2} b x^{2} - 12 \, a^{3} x}{12 \, b^{4}}"," ",0,"a^4*log(abs(b*x + a))/b^5 + 1/12*(3*b^3*x^4 - 4*a*b^2*x^3 + 6*a^2*b*x^2 - 12*a^3*x)/b^4","A",0
159,1,43,0,1.049913," ","integrate(x^3/(b*x+a),x, algorithm=""giac"")","-\frac{a^{3} \log\left({\left| b x + a \right|}\right)}{b^{4}} + \frac{2 \, b^{2} x^{3} - 3 \, a b x^{2} + 6 \, a^{2} x}{6 \, b^{3}}"," ",0,"-a^3*log(abs(b*x + a))/b^4 + 1/6*(2*b^2*x^3 - 3*a*b*x^2 + 6*a^2*x)/b^3","A",0
160,1,30,0,0.938187," ","integrate(x^2/(b*x+a),x, algorithm=""giac"")","\frac{a^{2} \log\left({\left| b x + a \right|}\right)}{b^{3}} + \frac{b x^{2} - 2 \, a x}{2 \, b^{2}}"," ",0,"a^2*log(abs(b*x + a))/b^3 + 1/2*(b*x^2 - 2*a*x)/b^2","A",0
161,1,19,0,1.018526," ","integrate(x/(b*x+a),x, algorithm=""giac"")","\frac{x}{b} - \frac{a \log\left({\left| b x + a \right|}\right)}{b^{2}}"," ",0,"x/b - a*log(abs(b*x + a))/b^2","A",0
162,1,11,0,0.921985," ","integrate(1/(b*x+a),x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b}"," ",0,"log(abs(b*x + a))/b","A",0
163,1,20,0,1.104024," ","integrate(1/x/(b*x+a),x, algorithm=""giac"")","-\frac{\log\left({\left| b x + a \right|}\right)}{a} + \frac{\log\left({\left| x \right|}\right)}{a}"," ",0,"-log(abs(b*x + a))/a + log(abs(x))/a","A",0
164,1,30,0,0.968131," ","integrate(1/x^2/(b*x+a),x, algorithm=""giac"")","\frac{b \log\left({\left| b x + a \right|}\right)}{a^{2}} - \frac{b \log\left({\left| x \right|}\right)}{a^{2}} - \frac{1}{a x}"," ",0,"b*log(abs(b*x + a))/a^2 - b*log(abs(x))/a^2 - 1/(a*x)","A",0
165,1,45,0,1.020695," ","integrate(1/x^3/(b*x+a),x, algorithm=""giac"")","-\frac{b^{2} \log\left({\left| b x + a \right|}\right)}{a^{3}} + \frac{b^{2} \log\left({\left| x \right|}\right)}{a^{3}} + \frac{2 \, a b x - a^{2}}{2 \, a^{3} x^{2}}"," ",0,"-b^2*log(abs(b*x + a))/a^3 + b^2*log(abs(x))/a^3 + 1/2*(2*a*b*x - a^2)/(a^3*x^2)","A",0
166,1,56,0,1.069901," ","integrate(1/x^4/(b*x+a),x, algorithm=""giac"")","\frac{b^{3} \log\left({\left| b x + a \right|}\right)}{a^{4}} - \frac{b^{3} \log\left({\left| x \right|}\right)}{a^{4}} - \frac{6 \, a b^{2} x^{2} - 3 \, a^{2} b x + 2 \, a^{3}}{6 \, a^{4} x^{3}}"," ",0,"b^3*log(abs(b*x + a))/a^4 - b^3*log(abs(x))/a^4 - 1/6*(6*a*b^2*x^2 - 3*a^2*b*x + 2*a^3)/(a^4*x^3)","A",0
167,1,67,0,1.059922," ","integrate(1/x^5/(b*x+a),x, algorithm=""giac"")","-\frac{b^{4} \log\left({\left| b x + a \right|}\right)}{a^{5}} + \frac{b^{4} \log\left({\left| x \right|}\right)}{a^{5}} + \frac{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,"-b^4*log(abs(b*x + a))/a^5 + b^4*log(abs(x))/a^5 + 1/12*(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
168,1,103,0,1.140343," ","integrate(x^6/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(b x + a\right)}^{5} {\left(\frac{15 \, a}{b x + a} - \frac{50 \, a^{2}}{{\left(b x + a\right)}^{2}} + \frac{100 \, a^{3}}{{\left(b x + a\right)}^{3}} - \frac{150 \, a^{4}}{{\left(b x + a\right)}^{4}} - 2\right)}}{10 \, b^{7}} + \frac{6 \, a^{5} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{7}} - \frac{a^{6}}{{\left(b x + a\right)} b^{7}}"," ",0,"-1/10*(b*x + a)^5*(15*a/(b*x + a) - 50*a^2/(b*x + a)^2 + 100*a^3/(b*x + a)^3 - 150*a^4/(b*x + a)^4 - 2)/b^7 + 6*a^5*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^7 - a^6/((b*x + a)*b^7)","A",0
169,1,90,0,1.221740," ","integrate(x^5/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(b x + a\right)}^{4} {\left(\frac{20 \, a}{b x + a} - \frac{60 \, a^{2}}{{\left(b x + a\right)}^{2}} + \frac{120 \, a^{3}}{{\left(b x + a\right)}^{3}} - 3\right)}}{12 \, b^{6}} - \frac{5 \, a^{4} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{6}} + \frac{a^{5}}{{\left(b x + a\right)} b^{6}}"," ",0,"-1/12*(b*x + a)^4*(20*a/(b*x + a) - 60*a^2/(b*x + a)^2 + 120*a^3/(b*x + a)^3 - 3)/b^6 - 5*a^4*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^6 + a^5/((b*x + a)*b^6)","A",0
170,1,79,0,1.071067," ","integrate(x^4/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(b x + a\right)}^{3} {\left(\frac{6 \, a}{b x + a} - \frac{18 \, a^{2}}{{\left(b x + a\right)}^{2}} - 1\right)}}{3 \, b^{5}} + \frac{4 \, a^{3} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{5}} - \frac{a^{4}}{{\left(b x + a\right)} b^{5}}"," ",0,"-1/3*(b*x + a)^3*(6*a/(b*x + a) - 18*a^2/(b*x + a)^2 - 1)/b^5 + 4*a^3*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^5 - a^4/((b*x + a)*b^5)","A",0
171,1,66,0,1.139376," ","integrate(x^3/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(b x + a\right)}^{2} {\left(\frac{6 \, a}{b x + a} - 1\right)}}{2 \, b^{4}} - \frac{3 \, a^{2} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{4}} + \frac{a^{3}}{{\left(b x + a\right)} b^{4}}"," ",0,"-1/2*(b*x + a)^2*(6*a/(b*x + a) - 1)/b^4 - 3*a^2*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^4 + a^3/((b*x + a)*b^4)","A",0
172,1,50,0,1.146758," ","integrate(x^2/(b*x+a)^2,x, algorithm=""giac"")","\frac{2 \, a \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{3}} + \frac{b x + a}{b^{3}} - \frac{a^{2}}{{\left(b x + a\right)} b^{3}}"," ",0,"2*a*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^3 + (b*x + a)/b^3 - a^2/((b*x + a)*b^3)","A",0
173,1,42,0,1.048907," ","integrate(x/(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{\log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b} - \frac{a}{{\left(b x + a\right)} b}}{b}"," ",0,"-(log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b - a/((b*x + a)*b))/b","A",0
174,1,12,0,1.175465," ","integrate(1/(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{{\left(b x + a\right)} b}"," ",0,"-1/((b*x + a)*b)","A",0
175,1,38,0,0.999882," ","integrate(1/x/(b*x+a)^2,x, algorithm=""giac"")","b {\left(\frac{\log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{2} b} + \frac{1}{{\left(b x + a\right)} a b}\right)}"," ",0,"b*(log(abs(-a/(b*x + a) + 1))/(a^2*b) + 1/((b*x + a)*a*b))","A",0
176,1,52,0,1.217422," ","integrate(1/x^2/(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, b \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{3}} - \frac{b}{{\left(b x + a\right)} a^{2}} + \frac{b}{a^{3} {\left(\frac{a}{b x + a} - 1\right)}}"," ",0,"-2*b*log(abs(-a/(b*x + a) + 1))/a^3 - b/((b*x + a)*a^2) + b/(a^3*(a/(b*x + a) - 1))","A",0
177,1,74,0,1.130474," ","integrate(1/x^3/(b*x+a)^2,x, algorithm=""giac"")","\frac{3 \, b^{2} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{4}} + \frac{b^{2}}{{\left(b x + a\right)} a^{3}} - \frac{\frac{6 \, a b^{2}}{b x + a} - 5 \, b^{2}}{2 \, a^{4} {\left(\frac{a}{b x + a} - 1\right)}^{2}}"," ",0,"3*b^2*log(abs(-a/(b*x + a) + 1))/a^4 + b^2/((b*x + a)*a^3) - 1/2*(6*a*b^2/(b*x + a) - 5*b^2)/(a^4*(a/(b*x + a) - 1)^2)","A",0
178,1,90,0,1.015368," ","integrate(1/x^4/(b*x+a)^2,x, algorithm=""giac"")","-\frac{4 \, b^{3} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{5}} - \frac{b^{3}}{{\left(b x + a\right)} a^{4}} - \frac{\frac{30 \, a b^{3}}{b x + a} - \frac{18 \, a^{2} b^{3}}{{\left(b x + a\right)}^{2}} - 13 \, b^{3}}{3 \, a^{5} {\left(\frac{a}{b x + a} - 1\right)}^{3}}"," ",0,"-4*b^3*log(abs(-a/(b*x + a) + 1))/a^5 - b^3/((b*x + a)*a^4) - 1/3*(30*a*b^3/(b*x + a) - 18*a^2*b^3/(b*x + a)^2 - 13*b^3)/(a^5*(a/(b*x + a) - 1)^3)","A",0
179,1,104,0,0.987610," ","integrate(1/x^5/(b*x+a)^2,x, algorithm=""giac"")","\frac{5 \, b^{4} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{6}} + \frac{b^{4}}{{\left(b x + a\right)} a^{5}} - \frac{\frac{260 \, a b^{4}}{b x + a} - \frac{300 \, a^{2} b^{4}}{{\left(b x + a\right)}^{2}} + \frac{120 \, a^{3} b^{4}}{{\left(b x + a\right)}^{3}} - 77 \, b^{4}}{12 \, a^{6} {\left(\frac{a}{b x + a} - 1\right)}^{4}}"," ",0,"5*b^4*log(abs(-a/(b*x + a) + 1))/a^6 + b^4/((b*x + a)*a^5) - 1/12*(260*a*b^4/(b*x + a) - 300*a^2*b^4/(b*x + a)^2 + 120*a^3*b^4/(b*x + a)^3 - 77*b^4)/(a^6*(a/(b*x + a) - 1)^4)","A",0
180,1,95,0,0.891212," ","integrate(x^7/(b*x+a)^3,x, algorithm=""giac"")","-\frac{21 \, a^{5} \log\left({\left| b x + a \right|}\right)}{b^{8}} - \frac{14 \, a^{6} b x + 13 \, a^{7}}{2 \, {\left(b x + a\right)}^{2} b^{8}} + \frac{4 \, b^{12} x^{5} - 15 \, a b^{11} x^{4} + 40 \, a^{2} b^{10} x^{3} - 100 \, a^{3} b^{9} x^{2} + 300 \, a^{4} b^{8} x}{20 \, b^{15}}"," ",0,"-21*a^5*log(abs(b*x + a))/b^8 - 1/2*(14*a^6*b*x + 13*a^7)/((b*x + a)^2*b^8) + 1/20*(4*b^12*x^5 - 15*a*b^11*x^4 + 40*a^2*b^10*x^3 - 100*a^3*b^9*x^2 + 300*a^4*b^8*x)/b^15","A",0
181,1,83,0,1.153009," ","integrate(x^6/(b*x+a)^3,x, algorithm=""giac"")","\frac{15 \, a^{4} \log\left({\left| b x + a \right|}\right)}{b^{7}} + \frac{12 \, a^{5} b x + 11 \, a^{6}}{2 \, {\left(b x + a\right)}^{2} b^{7}} + \frac{b^{9} x^{4} - 4 \, a b^{8} x^{3} + 12 \, a^{2} b^{7} x^{2} - 40 \, a^{3} b^{6} x}{4 \, b^{12}}"," ",0,"15*a^4*log(abs(b*x + a))/b^7 + 1/2*(12*a^5*b*x + 11*a^6)/((b*x + a)^2*b^7) + 1/4*(b^9*x^4 - 4*a*b^8*x^3 + 12*a^2*b^7*x^2 - 40*a^3*b^6*x)/b^12","A",0
182,1,73,0,1.120090," ","integrate(x^5/(b*x+a)^3,x, algorithm=""giac"")","-\frac{10 \, a^{3} \log\left({\left| b x + a \right|}\right)}{b^{6}} - \frac{10 \, a^{4} b x + 9 \, a^{5}}{2 \, {\left(b x + a\right)}^{2} b^{6}} + \frac{2 \, b^{6} x^{3} - 9 \, a b^{5} x^{2} + 36 \, a^{2} b^{4} x}{6 \, b^{9}}"," ",0,"-10*a^3*log(abs(b*x + a))/b^6 - 1/2*(10*a^4*b*x + 9*a^5)/((b*x + a)^2*b^6) + 1/6*(2*b^6*x^3 - 9*a*b^5*x^2 + 36*a^2*b^4*x)/b^9","A",0
183,1,61,0,0.947467," ","integrate(x^4/(b*x+a)^3,x, algorithm=""giac"")","\frac{6 \, a^{2} \log\left({\left| b x + a \right|}\right)}{b^{5}} + \frac{b^{3} x^{2} - 6 \, a b^{2} x}{2 \, b^{6}} + \frac{8 \, a^{3} b x + 7 \, a^{4}}{2 \, {\left(b x + a\right)}^{2} b^{5}}"," ",0,"6*a^2*log(abs(b*x + a))/b^5 + 1/2*(b^3*x^2 - 6*a*b^2*x)/b^6 + 1/2*(8*a^3*b*x + 7*a^4)/((b*x + a)^2*b^5)","A",0
184,1,44,0,0.963832," ","integrate(x^3/(b*x+a)^3,x, algorithm=""giac"")","\frac{x}{b^{3}} - \frac{3 \, a \log\left({\left| b x + a \right|}\right)}{b^{4}} - \frac{6 \, a^{2} b x + 5 \, a^{3}}{2 \, {\left(b x + a\right)}^{2} b^{4}}"," ",0,"x/b^3 - 3*a*log(abs(b*x + a))/b^4 - 1/2*(6*a^2*b*x + 5*a^3)/((b*x + a)^2*b^4)","A",0
185,1,37,0,1.080406," ","integrate(x^2/(b*x+a)^3,x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b^{3}} + \frac{4 \, a x + \frac{3 \, a^{2}}{b}}{2 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"log(abs(b*x + a))/b^3 + 1/2*(4*a*x + 3*a^2/b)/((b*x + a)^2*b^2)","A",0
186,1,18,0,1.141872," ","integrate(x/(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, b x + a}{2 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"-1/2*(2*b*x + a)/((b*x + a)^2*b^2)","A",0
187,1,12,0,0.947660," ","integrate(1/(b*x+a)^3,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(b x + a\right)}^{2} b}"," ",0,"-1/2/((b*x + a)^2*b)","A",0
188,1,43,0,1.031272," ","integrate(1/x/(b*x+a)^3,x, algorithm=""giac"")","-\frac{\log\left({\left| b x + a \right|}\right)}{a^{3}} + \frac{\log\left({\left| x \right|}\right)}{a^{3}} + \frac{2 \, a b x + 3 \, a^{2}}{2 \, {\left(b x + a\right)}^{2} a^{3}}"," ",0,"-log(abs(b*x + a))/a^3 + log(abs(x))/a^3 + 1/2*(2*a*b*x + 3*a^2)/((b*x + a)^2*a^3)","A",0
189,1,60,0,1.073681," ","integrate(1/x^2/(b*x+a)^3,x, algorithm=""giac"")","\frac{3 \, b \log\left({\left| b x + a \right|}\right)}{a^{4}} - \frac{3 \, b \log\left({\left| x \right|}\right)}{a^{4}} - \frac{6 \, a b^{2} x^{2} + 9 \, a^{2} b x + 2 \, a^{3}}{2 \, {\left(b x + a\right)}^{2} a^{4} x}"," ",0,"3*b*log(abs(b*x + a))/a^4 - 3*b*log(abs(x))/a^4 - 1/2*(6*a*b^2*x^2 + 9*a^2*b*x + 2*a^3)/((b*x + a)^2*a^4*x)","A",0
190,1,73,0,1.385777," ","integrate(1/x^3/(b*x+a)^3,x, algorithm=""giac"")","-\frac{6 \, b^{2} \log\left({\left| b x + a \right|}\right)}{a^{5}} + \frac{6 \, b^{2} \log\left({\left| x \right|}\right)}{a^{5}} + \frac{12 \, b^{3} x^{3} + 18 \, a b^{2} x^{2} + 4 \, a^{2} b x - a^{3}}{2 \, {\left(b x^{2} + a x\right)}^{2} a^{4}}"," ",0,"-6*b^2*log(abs(b*x + a))/a^5 + 6*b^2*log(abs(x))/a^5 + 1/2*(12*b^3*x^3 + 18*a*b^2*x^2 + 4*a^2*b*x - a^3)/((b*x^2 + a*x)^2*a^4)","A",0
191,1,86,0,0.938093," ","integrate(1/x^4/(b*x+a)^3,x, algorithm=""giac"")","\frac{10 \, b^{3} \log\left({\left| b x + a \right|}\right)}{a^{6}} - \frac{10 \, b^{3} \log\left({\left| x \right|}\right)}{a^{6}} - \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}}{6 \, {\left(b x + a\right)}^{2} a^{6} x^{3}}"," ",0,"10*b^3*log(abs(b*x + a))/a^6 - 10*b^3*log(abs(x))/a^6 - 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)/((b*x + a)^2*a^6*x^3)","A",0
192,1,97,0,1.008137," ","integrate(1/x^5/(b*x+a)^3,x, algorithm=""giac"")","-\frac{15 \, b^{4} \log\left({\left| b x + a \right|}\right)}{a^{7}} + \frac{15 \, b^{4} \log\left({\left| x \right|}\right)}{a^{7}} + \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}}{4 \, {\left(b x + a\right)}^{2} a^{7} x^{4}}"," ",0,"-15*b^4*log(abs(b*x + a))/a^7 + 15*b^4*log(abs(x))/a^7 + 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)/((b*x + a)^2*a^7*x^4)","A",0
193,1,106,0,1.110102," ","integrate(x^8/(b*x+a)^4,x, algorithm=""giac"")","-\frac{56 \, a^{5} \log\left({\left| b x + a \right|}\right)}{b^{9}} - \frac{84 \, a^{6} b^{2} x^{2} + 156 \, a^{7} b x + 73 \, a^{8}}{3 \, {\left(b x + a\right)}^{3} b^{9}} + \frac{3 \, b^{16} x^{5} - 15 \, a b^{15} x^{4} + 50 \, a^{2} b^{14} x^{3} - 150 \, a^{3} b^{13} x^{2} + 525 \, a^{4} b^{12} x}{15 \, b^{20}}"," ",0,"-56*a^5*log(abs(b*x + a))/b^9 - 1/3*(84*a^6*b^2*x^2 + 156*a^7*b*x + 73*a^8)/((b*x + a)^3*b^9) + 1/15*(3*b^16*x^5 - 15*a*b^15*x^4 + 50*a^2*b^14*x^3 - 150*a^3*b^13*x^2 + 525*a^4*b^12*x)/b^20","A",0
194,1,95,0,1.013016," ","integrate(x^7/(b*x+a)^4,x, algorithm=""giac"")","\frac{35 \, a^{4} \log\left({\left| b x + a \right|}\right)}{b^{8}} + \frac{126 \, a^{5} b^{2} x^{2} + 231 \, a^{6} b x + 107 \, a^{7}}{6 \, {\left(b x + a\right)}^{3} b^{8}} + \frac{3 \, b^{12} x^{4} - 16 \, a b^{11} x^{3} + 60 \, a^{2} b^{10} x^{2} - 240 \, a^{3} b^{9} x}{12 \, b^{16}}"," ",0,"35*a^4*log(abs(b*x + a))/b^8 + 1/6*(126*a^5*b^2*x^2 + 231*a^6*b*x + 107*a^7)/((b*x + a)^3*b^8) + 1/12*(3*b^12*x^4 - 16*a*b^11*x^3 + 60*a^2*b^10*x^2 - 240*a^3*b^9*x)/b^16","A",0
195,1,83,0,1.110229," ","integrate(x^6/(b*x+a)^4,x, algorithm=""giac"")","-\frac{20 \, a^{3} \log\left({\left| b x + a \right|}\right)}{b^{7}} - \frac{45 \, a^{4} b^{2} x^{2} + 81 \, a^{5} b x + 37 \, a^{6}}{3 \, {\left(b x + a\right)}^{3} b^{7}} + \frac{b^{8} x^{3} - 6 \, a b^{7} x^{2} + 30 \, a^{2} b^{6} x}{3 \, b^{12}}"," ",0,"-20*a^3*log(abs(b*x + a))/b^7 - 1/3*(45*a^4*b^2*x^2 + 81*a^5*b*x + 37*a^6)/((b*x + a)^3*b^7) + 1/3*(b^8*x^3 - 6*a*b^7*x^2 + 30*a^2*b^6*x)/b^12","A",0
196,1,72,0,0.873279," ","integrate(x^5/(b*x+a)^4,x, algorithm=""giac"")","\frac{10 \, a^{2} \log\left({\left| b x + a \right|}\right)}{b^{6}} + \frac{b^{4} x^{2} - 8 \, a b^{3} x}{2 \, b^{8}} + \frac{60 \, a^{3} b^{2} x^{2} + 105 \, a^{4} b x + 47 \, a^{5}}{6 \, {\left(b x + a\right)}^{3} b^{6}}"," ",0,"10*a^2*log(abs(b*x + a))/b^6 + 1/2*(b^4*x^2 - 8*a*b^3*x)/b^8 + 1/6*(60*a^3*b^2*x^2 + 105*a^4*b*x + 47*a^5)/((b*x + a)^3*b^6)","A",0
197,1,55,0,0.864246," ","integrate(x^4/(b*x+a)^4,x, algorithm=""giac"")","\frac{x}{b^{4}} - \frac{4 \, a \log\left({\left| b x + a \right|}\right)}{b^{5}} - \frac{18 \, a^{2} b^{2} x^{2} + 30 \, a^{3} b x + 13 \, a^{4}}{3 \, {\left(b x + a\right)}^{3} b^{5}}"," ",0,"x/b^4 - 4*a*log(abs(b*x + a))/b^5 - 1/3*(18*a^2*b^2*x^2 + 30*a^3*b*x + 13*a^4)/((b*x + a)^3*b^5)","A",0
198,1,46,0,1.031984," ","integrate(x^3/(b*x+a)^4,x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b^{4}} + \frac{18 \, a b x^{2} + 27 \, a^{2} x + \frac{11 \, a^{3}}{b}}{6 \, {\left(b x + a\right)}^{3} b^{3}}"," ",0,"log(abs(b*x + a))/b^4 + 1/6*(18*a*b*x^2 + 27*a^2*x + 11*a^3/b)/((b*x + a)^3*b^3)","A",0
199,1,29,0,1.269383," ","integrate(x^2/(b*x+a)^4,x, algorithm=""giac"")","-\frac{3 \, b^{2} x^{2} + 3 \, a b x + a^{2}}{3 \, {\left(b x + a\right)}^{3} b^{3}}"," ",0,"-1/3*(3*b^2*x^2 + 3*a*b*x + a^2)/((b*x + a)^3*b^3)","A",0
200,1,18,0,1.008430," ","integrate(x/(b*x+a)^4,x, algorithm=""giac"")","-\frac{3 \, b x + a}{6 \, {\left(b x + a\right)}^{3} b^{2}}"," ",0,"-1/6*(3*b*x + a)/((b*x + a)^3*b^2)","A",0
201,1,12,0,1.021408," ","integrate(1/(b*x+a)^4,x, algorithm=""giac"")","-\frac{1}{3 \, {\left(b x + a\right)}^{3} b}"," ",0,"-1/3/((b*x + a)^3*b)","A",0
202,1,54,0,1.024097," ","integrate(1/x/(b*x+a)^4,x, algorithm=""giac"")","-\frac{\log\left({\left| b x + a \right|}\right)}{a^{4}} + \frac{\log\left({\left| x \right|}\right)}{a^{4}} + \frac{6 \, a b^{2} x^{2} + 15 \, a^{2} b x + 11 \, a^{3}}{6 \, {\left(b x + a\right)}^{3} a^{4}}"," ",0,"-log(abs(b*x + a))/a^4 + log(abs(x))/a^4 + 1/6*(6*a*b^2*x^2 + 15*a^2*b*x + 11*a^3)/((b*x + a)^3*a^4)","A",0
203,1,71,0,1.159749," ","integrate(1/x^2/(b*x+a)^4,x, algorithm=""giac"")","\frac{4 \, b \log\left({\left| b x + a \right|}\right)}{a^{5}} - \frac{4 \, b \log\left({\left| x \right|}\right)}{a^{5}} - \frac{12 \, a b^{3} x^{3} + 30 \, a^{2} b^{2} x^{2} + 22 \, a^{3} b x + 3 \, a^{4}}{3 \, {\left(b x + a\right)}^{3} a^{5} x}"," ",0,"4*b*log(abs(b*x + a))/a^5 - 4*b*log(abs(x))/a^5 - 1/3*(12*a*b^3*x^3 + 30*a^2*b^2*x^2 + 22*a^3*b*x + 3*a^4)/((b*x + a)^3*a^5*x)","A",0
204,1,86,0,0.953132," ","integrate(1/x^3/(b*x+a)^4,x, algorithm=""giac"")","-\frac{10 \, b^{2} \log\left({\left| b x + a \right|}\right)}{a^{6}} + \frac{10 \, b^{2} \log\left({\left| x \right|}\right)}{a^{6}} + \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}}{6 \, {\left(b x + a\right)}^{3} a^{6} x^{2}}"," ",0,"-10*b^2*log(abs(b*x + a))/a^6 + 10*b^2*log(abs(x))/a^6 + 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)/((b*x + a)^3*a^6*x^2)","A",0
205,1,93,0,0.986714," ","integrate(1/x^4/(b*x+a)^4,x, algorithm=""giac"")","\frac{20 \, b^{3} \log\left({\left| b x + a \right|}\right)}{a^{7}} - \frac{20 \, b^{3} \log\left({\left| x \right|}\right)}{a^{7}} - \frac{60 \, b^{5} x^{5} + 150 \, a b^{4} x^{4} + 110 \, a^{2} b^{3} x^{3} + 15 \, a^{3} b^{2} x^{2} - 3 \, a^{4} b x + a^{5}}{3 \, {\left(b x^{2} + a x\right)}^{3} a^{6}}"," ",0,"20*b^3*log(abs(b*x + a))/a^7 - 20*b^3*log(abs(x))/a^7 - 1/3*(60*b^5*x^5 + 150*a*b^4*x^4 + 110*a^2*b^3*x^3 + 15*a^3*b^2*x^2 - 3*a^4*b*x + a^5)/((b*x^2 + a*x)^3*a^6)","A",0
206,1,108,0,1.000171," ","integrate(1/x^5/(b*x+a)^4,x, algorithm=""giac"")","-\frac{35 \, b^{4} \log\left({\left| b x + a \right|}\right)}{a^{8}} + \frac{35 \, b^{4} \log\left({\left| x \right|}\right)}{a^{8}} + \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}}{12 \, {\left(b x + a\right)}^{3} a^{8} x^{4}}"," ",0,"-35*b^4*log(abs(b*x + a))/a^8 + 35*b^4*log(abs(x))/a^8 + 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)/((b*x + a)^3*a^8*x^4)","A",0
207,1,128,0,1.207348," ","integrate(x^10/(b*x+a)^7,x, algorithm=""giac"")","\frac{210 \, a^{4} \log\left({\left| b x + a \right|}\right)}{b^{11}} + \frac{3024 \, a^{5} b^{5} x^{5} + 13860 \, a^{6} b^{4} x^{4} + 25680 \, a^{7} b^{3} x^{3} + 23985 \, a^{8} b^{2} x^{2} + 11274 \, a^{9} b x + 2131 \, a^{10}}{12 \, {\left(b x + a\right)}^{6} b^{11}} + \frac{3 \, b^{21} x^{4} - 28 \, a b^{20} x^{3} + 168 \, a^{2} b^{19} x^{2} - 1008 \, a^{3} b^{18} x}{12 \, b^{28}}"," ",0,"210*a^4*log(abs(b*x + a))/b^11 + 1/12*(3024*a^5*b^5*x^5 + 13860*a^6*b^4*x^4 + 25680*a^7*b^3*x^3 + 23985*a^8*b^2*x^2 + 11274*a^9*b*x + 2131*a^10)/((b*x + a)^6*b^11) + 1/12*(3*b^21*x^4 - 28*a*b^20*x^3 + 168*a^2*b^19*x^2 - 1008*a^3*b^18*x)/b^28","A",0
208,1,117,0,1.475005," ","integrate(x^9/(b*x+a)^7,x, algorithm=""giac"")","-\frac{84 \, a^{3} \log\left({\left| b x + a \right|}\right)}{b^{10}} - \frac{3780 \, a^{4} b^{5} x^{5} + 17010 \, a^{5} b^{4} x^{4} + 31080 \, a^{6} b^{3} x^{3} + 28710 \, a^{7} b^{2} x^{2} + 13374 \, a^{8} b x + 2509 \, a^{9}}{30 \, {\left(b x + a\right)}^{6} b^{10}} + \frac{2 \, b^{14} x^{3} - 21 \, a b^{13} x^{2} + 168 \, a^{2} b^{12} x}{6 \, b^{21}}"," ",0,"-84*a^3*log(abs(b*x + a))/b^10 - 1/30*(3780*a^4*b^5*x^5 + 17010*a^5*b^4*x^4 + 31080*a^6*b^3*x^3 + 28710*a^7*b^2*x^2 + 13374*a^8*b*x + 2509*a^9)/((b*x + a)^6*b^10) + 1/6*(2*b^14*x^3 - 21*a*b^13*x^2 + 168*a^2*b^12*x)/b^21","A",0
209,1,105,0,1.068647," ","integrate(x^8/(b*x+a)^7,x, algorithm=""giac"")","\frac{28 \, a^{2} \log\left({\left| b x + a \right|}\right)}{b^{9}} + \frac{b^{7} x^{2} - 14 \, a b^{6} x}{2 \, b^{14}} + \frac{1680 \, a^{3} b^{5} x^{5} + 7350 \, a^{4} b^{4} x^{4} + 13160 \, a^{5} b^{3} x^{3} + 11970 \, a^{6} b^{2} x^{2} + 5508 \, a^{7} b x + 1023 \, a^{8}}{30 \, {\left(b x + a\right)}^{6} b^{9}}"," ",0,"28*a^2*log(abs(b*x + a))/b^9 + 1/2*(b^7*x^2 - 14*a*b^6*x)/b^14 + 1/30*(1680*a^3*b^5*x^5 + 7350*a^4*b^4*x^4 + 13160*a^5*b^3*x^3 + 11970*a^6*b^2*x^2 + 5508*a^7*b*x + 1023*a^8)/((b*x + a)^6*b^9)","A",0
210,1,88,0,0.916054," ","integrate(x^7/(b*x+a)^7,x, algorithm=""giac"")","\frac{x}{b^{7}} - \frac{7 \, a \log\left({\left| b x + a \right|}\right)}{b^{8}} - \frac{1260 \, a^{2} b^{5} x^{5} + 5250 \, a^{3} b^{4} x^{4} + 9100 \, a^{4} b^{3} x^{3} + 8085 \, a^{5} b^{2} x^{2} + 3654 \, a^{6} b x + 669 \, a^{7}}{60 \, {\left(b x + a\right)}^{6} b^{8}}"," ",0,"x/b^7 - 7*a*log(abs(b*x + a))/b^8 - 1/60*(1260*a^2*b^5*x^5 + 5250*a^3*b^4*x^4 + 9100*a^4*b^3*x^3 + 8085*a^5*b^2*x^2 + 3654*a^6*b*x + 669*a^7)/((b*x + a)^6*b^8)","A",0
211,1,79,0,1.164357," ","integrate(x^6/(b*x+a)^7,x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b^{7}} + \frac{360 \, a b^{4} x^{5} + 1350 \, a^{2} b^{3} x^{4} + 2200 \, a^{3} b^{2} x^{3} + 1875 \, a^{4} b x^{2} + 822 \, a^{5} x + \frac{147 \, a^{6}}{b}}{60 \, {\left(b x + a\right)}^{6} b^{6}}"," ",0,"log(abs(b*x + a))/b^7 + 1/60*(360*a*b^4*x^5 + 1350*a^2*b^3*x^4 + 2200*a^3*b^2*x^3 + 1875*a^4*b*x^2 + 822*a^5*x + 147*a^6/b)/((b*x + a)^6*b^6)","A",0
212,1,62,0,1.082690," ","integrate(x^5/(b*x+a)^7,x, algorithm=""giac"")","-\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 x + a\right)}^{6} b^{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)/((b*x + a)^6*b^6)","B",0
213,1,51,0,1.143046," ","integrate(x^4/(b*x+a)^7,x, algorithm=""giac"")","-\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 x + a\right)}^{6} b^{5}}"," ",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*x + a)^6*b^5)","A",0
214,1,40,0,1.000694," ","integrate(x^3/(b*x+a)^7,x, algorithm=""giac"")","-\frac{20 \, b^{3} x^{3} + 15 \, a b^{2} x^{2} + 6 \, a^{2} b x + a^{3}}{60 \, {\left(b x + a\right)}^{6} b^{4}}"," ",0,"-1/60*(20*b^3*x^3 + 15*a*b^2*x^2 + 6*a^2*b*x + a^3)/((b*x + a)^6*b^4)","A",0
215,1,29,0,0.996793," ","integrate(x^2/(b*x+a)^7,x, algorithm=""giac"")","-\frac{15 \, b^{2} x^{2} + 6 \, a b x + a^{2}}{60 \, {\left(b x + a\right)}^{6} b^{3}}"," ",0,"-1/60*(15*b^2*x^2 + 6*a*b*x + a^2)/((b*x + a)^6*b^3)","A",0
216,1,18,0,1.392072," ","integrate(x/(b*x+a)^7,x, algorithm=""giac"")","-\frac{6 \, b x + a}{30 \, {\left(b x + a\right)}^{6} b^{2}}"," ",0,"-1/30*(6*b*x + a)/((b*x + a)^6*b^2)","A",0
217,1,12,0,1.091041," ","integrate(1/(b*x+a)^7,x, algorithm=""giac"")","-\frac{1}{6 \, {\left(b x + a\right)}^{6} b}"," ",0,"-1/6/((b*x + a)^6*b)","A",0
218,1,87,0,1.013687," ","integrate(1/x/(b*x+a)^7,x, algorithm=""giac"")","-\frac{\log\left({\left| b x + a \right|}\right)}{a^{7}} + \frac{\log\left({\left| x \right|}\right)}{a^{7}} + \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 x + a\right)}^{6} a^{7}}"," ",0,"-log(abs(b*x + a))/a^7 + log(abs(x))/a^7 + 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)/((b*x + a)^6*a^7)","A",0
219,1,104,0,1.047701," ","integrate(1/x^2/(b*x+a)^7,x, algorithm=""giac"")","\frac{7 \, b \log\left({\left| b x + a \right|}\right)}{a^{8}} - \frac{7 \, b \log\left({\left| x \right|}\right)}{a^{8}} - \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}}{60 \, {\left(b x + a\right)}^{6} a^{8} x}"," ",0,"7*b*log(abs(b*x + a))/a^8 - 7*b*log(abs(x))/a^8 - 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)/((b*x + a)^6*a^8*x)","A",0
220,1,119,0,1.273380," ","integrate(1/x^3/(b*x+a)^7,x, algorithm=""giac"")","-\frac{28 \, b^{2} \log\left({\left| b x + a \right|}\right)}{a^{9}} + \frac{28 \, b^{2} \log\left({\left| x \right|}\right)}{a^{9}} + \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}}{30 \, {\left(b x + a\right)}^{6} a^{9} x^{2}}"," ",0,"-28*b^2*log(abs(b*x + a))/a^9 + 28*b^2*log(abs(x))/a^9 + 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)/((b*x + a)^6*a^9*x^2)","A",0
221,1,130,0,1.253949," ","integrate(1/x^4/(b*x+a)^7,x, algorithm=""giac"")","\frac{84 \, b^{3} \log\left({\left| b x + a \right|}\right)}{a^{10}} - \frac{84 \, b^{3} \log\left({\left| x \right|}\right)}{a^{10}} - \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}}{30 \, {\left(b x + a\right)}^{6} a^{10} x^{3}}"," ",0,"84*b^3*log(abs(b*x + a))/a^10 - 84*b^3*log(abs(x))/a^10 - 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)/((b*x + a)^6*a^10*x^3)","A",0
222,1,149,0,1.069424," ","integrate(x^12/(b*x+a)^10,x, algorithm=""giac"")","-\frac{220 \, a^{3} \log\left({\left| b x + a \right|}\right)}{b^{13}} - \frac{62370 \, a^{4} b^{8} x^{8} + 449064 \, a^{5} b^{7} x^{7} + 1435896 \, a^{6} b^{6} x^{6} + 2652804 \, a^{7} b^{5} x^{5} + 3089394 \, a^{8} b^{4} x^{4} + 2318316 \, a^{9} b^{3} x^{3} + 1093356 \, a^{10} b^{2} x^{2} + 296019 \, a^{11} b x + 35201 \, a^{12}}{126 \, {\left(b x + a\right)}^{9} b^{13}} + \frac{b^{20} x^{3} - 15 \, a b^{19} x^{2} + 165 \, a^{2} b^{18} x}{3 \, b^{30}}"," ",0,"-220*a^3*log(abs(b*x + a))/b^13 - 1/126*(62370*a^4*b^8*x^8 + 449064*a^5*b^7*x^7 + 1435896*a^6*b^6*x^6 + 2652804*a^7*b^5*x^5 + 3089394*a^8*b^4*x^4 + 2318316*a^9*b^3*x^3 + 1093356*a^10*b^2*x^2 + 296019*a^11*b*x + 35201*a^12)/((b*x + a)^9*b^13) + 1/3*(b^20*x^3 - 15*a*b^19*x^2 + 165*a^2*b^18*x)/b^30","A",0
223,1,138,0,1.696450," ","integrate(x^11/(b*x+a)^10,x, algorithm=""giac"")","\frac{55 \, a^{2} \log\left({\left| b x + a \right|}\right)}{b^{12}} + \frac{b^{10} x^{2} - 20 \, a b^{9} x}{2 \, b^{20}} + \frac{83160 \, a^{3} b^{8} x^{8} + 582120 \, a^{4} b^{7} x^{7} + 1823976 \, a^{5} b^{6} x^{6} + 3318084 \, a^{6} b^{5} x^{5} + 3817044 \, a^{7} b^{4} x^{4} + 2835756 \, a^{8} b^{3} x^{3} + 1326204 \, a^{9} b^{2} x^{2} + 356499 \, a^{10} b x + 42131 \, a^{11}}{504 \, {\left(b x + a\right)}^{9} b^{12}}"," ",0,"55*a^2*log(abs(b*x + a))/b^12 + 1/2*(b^10*x^2 - 20*a*b^9*x)/b^20 + 1/504*(83160*a^3*b^8*x^8 + 582120*a^4*b^7*x^7 + 1823976*a^5*b^6*x^6 + 3318084*a^6*b^5*x^5 + 3817044*a^7*b^4*x^4 + 2835756*a^8*b^3*x^3 + 1326204*a^9*b^2*x^2 + 356499*a^10*b*x + 42131*a^11)/((b*x + a)^9*b^12)","A",0
224,1,121,0,1.287119," ","integrate(x^10/(b*x+a)^10,x, algorithm=""giac"")","\frac{x}{b^{10}} - \frac{10 \, a \log\left({\left| b x + a \right|}\right)}{b^{11}} - \frac{11340 \, a^{2} b^{8} x^{8} + 75600 \, a^{3} b^{7} x^{7} + 229320 \, a^{4} b^{6} x^{6} + 407484 \, a^{5} b^{5} x^{5} + 460404 \, a^{6} b^{4} x^{4} + 337176 \, a^{7} b^{3} x^{3} + 155844 \, a^{8} b^{2} x^{2} + 41481 \, a^{9} b x + 4861 \, a^{10}}{252 \, {\left(b x + a\right)}^{9} b^{11}}"," ",0,"x/b^10 - 10*a*log(abs(b*x + a))/b^11 - 1/252*(11340*a^2*b^8*x^8 + 75600*a^3*b^7*x^7 + 229320*a^4*b^6*x^6 + 407484*a^5*b^5*x^5 + 460404*a^6*b^4*x^4 + 337176*a^7*b^3*x^3 + 155844*a^8*b^2*x^2 + 41481*a^9*b*x + 4861*a^10)/((b*x + a)^9*b^11)","A",0
225,1,112,0,1.216205," ","integrate(x^9/(b*x+a)^10,x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b^{10}} + \frac{22680 \, a b^{7} x^{8} + 136080 \, a^{2} b^{6} x^{7} + 388080 \, a^{3} b^{5} x^{6} + 661500 \, a^{4} b^{4} x^{5} + 725004 \, a^{5} b^{3} x^{4} + 518616 \, a^{6} b^{2} x^{3} + 235224 \, a^{7} b x^{2} + 61641 \, a^{8} x + \frac{7129 \, a^{9}}{b}}{2520 \, {\left(b x + a\right)}^{9} b^{9}}"," ",0,"log(abs(b*x + a))/b^10 + 1/2520*(22680*a*b^7*x^8 + 136080*a^2*b^6*x^7 + 388080*a^3*b^5*x^6 + 661500*a^4*b^4*x^5 + 725004*a^5*b^3*x^4 + 518616*a^6*b^2*x^3 + 235224*a^7*b*x^2 + 61641*a^8*x + 7129*a^9/b)/((b*x + a)^9*b^9)","A",0
226,1,95,0,1.231153," ","integrate(x^8/(b*x+a)^10,x, algorithm=""giac"")","-\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 x + a\right)}^{9} b^{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)/((b*x + a)^9*b^9)","B",0
227,1,84,0,0.961591," ","integrate(x^7/(b*x+a)^10,x, algorithm=""giac"")","-\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 x + a\right)}^{9} b^{8}}"," ",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*x + a)^9*b^8)","B",0
228,1,73,0,1.013113," ","integrate(x^6/(b*x+a)^10,x, algorithm=""giac"")","-\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 x + a\right)}^{9} b^{7}}"," ",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*x + a)^9*b^7)","A",0
229,1,62,0,0.898941," ","integrate(x^5/(b*x+a)^10,x, algorithm=""giac"")","-\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 x + a\right)}^{9} b^{6}}"," ",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*x + a)^9*b^6)","A",0
230,1,51,0,1.218890," ","integrate(x^4/(b*x+a)^10,x, algorithm=""giac"")","-\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 x + a\right)}^{9} b^{5}}"," ",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*x + a)^9*b^5)","A",0
231,1,40,0,1.124935," ","integrate(x^3/(b*x+a)^10,x, algorithm=""giac"")","-\frac{84 \, b^{3} x^{3} + 36 \, a b^{2} x^{2} + 9 \, a^{2} b x + a^{3}}{504 \, {\left(b x + a\right)}^{9} b^{4}}"," ",0,"-1/504*(84*b^3*x^3 + 36*a*b^2*x^2 + 9*a^2*b*x + a^3)/((b*x + a)^9*b^4)","A",0
232,1,29,0,1.042832," ","integrate(x^2/(b*x+a)^10,x, algorithm=""giac"")","-\frac{36 \, b^{2} x^{2} + 9 \, a b x + a^{2}}{252 \, {\left(b x + a\right)}^{9} b^{3}}"," ",0,"-1/252*(36*b^2*x^2 + 9*a*b*x + a^2)/((b*x + a)^9*b^3)","A",0
233,1,18,0,1.044827," ","integrate(x/(b*x+a)^10,x, algorithm=""giac"")","-\frac{9 \, b x + a}{72 \, {\left(b x + a\right)}^{9} b^{2}}"," ",0,"-1/72*(9*b*x + a)/((b*x + a)^9*b^2)","A",0
234,1,12,0,1.034117," ","integrate(1/(b*x+a)^10,x, algorithm=""giac"")","-\frac{1}{9 \, {\left(b x + a\right)}^{9} b}"," ",0,"-1/9/((b*x + a)^9*b)","A",0
235,1,120,0,1.047829," ","integrate(1/x/(b*x+a)^10,x, algorithm=""giac"")","-\frac{\log\left({\left| b x + a \right|}\right)}{a^{10}} + \frac{\log\left({\left| x \right|}\right)}{a^{10}} + \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 x + a\right)}^{9} a^{10}}"," ",0,"-log(abs(b*x + a))/a^10 + log(abs(x))/a^10 + 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)/((b*x + a)^9*a^10)","A",0
236,1,137,0,1.014341," ","integrate(1/x^2/(b*x+a)^10,x, algorithm=""giac"")","\frac{10 \, b \log\left({\left| b x + a \right|}\right)}{a^{11}} - \frac{10 \, b \log\left({\left| x \right|}\right)}{a^{11}} - \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}}{252 \, {\left(b x + a\right)}^{9} a^{11} x}"," ",0,"10*b*log(abs(b*x + a))/a^11 - 10*b*log(abs(x))/a^11 - 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)/((b*x + a)^9*a^11*x)","A",0
237,1,152,0,1.102082," ","integrate(1/x^3/(b*x+a)^10,x, algorithm=""giac"")","-\frac{55 \, b^{2} \log\left({\left| b x + a \right|}\right)}{a^{12}} + \frac{55 \, b^{2} \log\left({\left| x \right|}\right)}{a^{12}} + \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}}{504 \, {\left(b x + a\right)}^{9} a^{12} x^{2}}"," ",0,"-55*b^2*log(abs(b*x + a))/a^12 + 55*b^2*log(abs(x))/a^12 + 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)/((b*x + a)^9*a^12*x^2)","A",0
238,1,163,0,1.348862," ","integrate(1/x^4/(b*x+a)^10,x, algorithm=""giac"")","\frac{220 \, b^{3} \log\left({\left| b x + a \right|}\right)}{a^{13}} - \frac{220 \, b^{3} \log\left({\left| x \right|}\right)}{a^{13}} - \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}}{126 \, {\left(b x + a\right)}^{9} a^{13} x^{3}}"," ",0,"220*b^3*log(abs(b*x + a))/a^13 - 220*b^3*log(abs(x))/a^13 - 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)/((b*x + a)^9*a^13*x^3)","A",0
239,1,133,0,1.139491," ","integrate((b*x+a)^12/x^10,x, algorithm=""giac"")","\frac{1}{3} \, b^{12} x^{3} + 6 \, a b^{11} x^{2} + 66 \, a^{2} b^{10} x + 220 \, a^{3} b^{9} \log\left({\left| x \right|}\right) - \frac{62370 \, a^{4} b^{8} x^{8} + 49896 \, a^{5} b^{7} x^{7} + 38808 \, a^{6} b^{6} x^{6} + 24948 \, a^{7} b^{5} x^{5} + 12474 \, a^{8} b^{4} x^{4} + 4620 \, a^{9} b^{3} x^{3} + 1188 \, a^{10} b^{2} x^{2} + 189 \, a^{11} b x + 14 \, a^{12}}{126 \, x^{9}}"," ",0,"1/3*b^12*x^3 + 6*a*b^11*x^2 + 66*a^2*b^10*x + 220*a^3*b^9*log(abs(x)) - 1/126*(62370*a^4*b^8*x^8 + 49896*a^5*b^7*x^7 + 38808*a^6*b^6*x^6 + 24948*a^7*b^5*x^5 + 12474*a^8*b^4*x^4 + 4620*a^9*b^3*x^3 + 1188*a^10*b^2*x^2 + 189*a^11*b*x + 14*a^12)/x^9","A",0
240,1,122,0,1.276796," ","integrate((b*x+a)^11/x^10,x, algorithm=""giac"")","\frac{1}{2} \, b^{11} x^{2} + 11 \, a b^{10} x + 55 \, a^{2} b^{9} \log\left({\left| x \right|}\right) - \frac{83160 \, a^{3} b^{8} x^{8} + 83160 \, a^{4} b^{7} x^{7} + 77616 \, a^{5} b^{6} x^{6} + 58212 \, a^{6} b^{5} x^{5} + 33264 \, a^{7} b^{4} x^{4} + 13860 \, a^{8} b^{3} x^{3} + 3960 \, a^{9} b^{2} x^{2} + 693 \, a^{10} b x + 56 \, a^{11}}{504 \, x^{9}}"," ",0,"1/2*b^11*x^2 + 11*a*b^10*x + 55*a^2*b^9*log(abs(x)) - 1/504*(83160*a^3*b^8*x^8 + 83160*a^4*b^7*x^7 + 77616*a^5*b^6*x^6 + 58212*a^6*b^5*x^5 + 33264*a^7*b^4*x^4 + 13860*a^8*b^3*x^3 + 3960*a^9*b^2*x^2 + 693*a^10*b*x + 56*a^11)/x^9","A",0
241,1,110,0,1.056105," ","integrate((b*x+a)^10/x^10,x, algorithm=""giac"")","b^{10} x + 10 \, a b^{9} \log\left({\left| x \right|}\right) - \frac{11340 \, a^{2} b^{8} x^{8} + 15120 \, a^{3} b^{7} x^{7} + 17640 \, a^{4} b^{6} x^{6} + 15876 \, a^{5} b^{5} x^{5} + 10584 \, a^{6} b^{4} x^{4} + 5040 \, a^{7} b^{3} x^{3} + 1620 \, a^{8} b^{2} x^{2} + 315 \, a^{9} b x + 28 \, a^{10}}{252 \, x^{9}}"," ",0,"b^10*x + 10*a*b^9*log(abs(x)) - 1/252*(11340*a^2*b^8*x^8 + 15120*a^3*b^7*x^7 + 17640*a^4*b^6*x^6 + 15876*a^5*b^5*x^5 + 10584*a^6*b^4*x^4 + 5040*a^7*b^3*x^3 + 1620*a^8*b^2*x^2 + 315*a^9*b*x + 28*a^10)/x^9","A",0
242,1,101,0,1.040243," ","integrate((b*x+a)^9/x^10,x, algorithm=""giac"")","b^{9} \log\left({\left| x \right|}\right) - \frac{22680 \, a b^{8} x^{8} + 45360 \, a^{2} b^{7} x^{7} + 70560 \, a^{3} b^{6} x^{6} + 79380 \, a^{4} b^{5} x^{5} + 63504 \, a^{5} b^{4} x^{4} + 35280 \, a^{6} b^{3} x^{3} + 12960 \, a^{7} b^{2} x^{2} + 2835 \, a^{8} b x + 280 \, a^{9}}{2520 \, x^{9}}"," ",0,"b^9*log(abs(x)) - 1/2520*(22680*a*b^8*x^8 + 45360*a^2*b^7*x^7 + 70560*a^3*b^6*x^6 + 79380*a^4*b^5*x^5 + 63504*a^5*b^4*x^4 + 35280*a^6*b^3*x^3 + 12960*a^7*b^2*x^2 + 2835*a^8*b*x + 280*a^9)/x^9","A",0
243,1,88,0,1.167574," ","integrate((b*x+a)^8/x^10,x, algorithm=""giac"")","-\frac{9 \, b^{8} x^{8} + 36 \, a b^{7} x^{7} + 84 \, a^{2} b^{6} x^{6} + 126 \, a^{3} b^{5} x^{5} + 126 \, a^{4} b^{4} x^{4} + 84 \, a^{5} b^{3} x^{3} + 36 \, a^{6} b^{2} x^{2} + 9 \, a^{7} b x + a^{8}}{9 \, x^{9}}"," ",0,"-1/9*(9*b^8*x^8 + 36*a*b^7*x^7 + 84*a^2*b^6*x^6 + 126*a^3*b^5*x^5 + 126*a^4*b^4*x^4 + 84*a^5*b^3*x^3 + 36*a^6*b^2*x^2 + 9*a^7*b*x + a^8)/x^9","B",0
244,1,79,0,1.036877," ","integrate((b*x+a)^7/x^10,x, algorithm=""giac"")","-\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
245,1,68,0,1.018260," ","integrate((b*x+a)^6/x^10,x, algorithm=""giac"")","-\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
246,1,57,0,1.011310," ","integrate((b*x+a)^5/x^10,x, algorithm=""giac"")","-\frac{126 \, b^{5} x^{5} + 504 \, a b^{4} x^{4} + 840 \, a^{2} b^{3} x^{3} + 720 \, a^{3} b^{2} x^{2} + 315 \, a^{4} b x + 56 \, a^{5}}{504 \, x^{9}}"," ",0,"-1/504*(126*b^5*x^5 + 504*a*b^4*x^4 + 840*a^2*b^3*x^3 + 720*a^3*b^2*x^2 + 315*a^4*b*x + 56*a^5)/x^9","A",0
247,1,46,0,1.246488," ","integrate((b*x+a)^4/x^10,x, algorithm=""giac"")","-\frac{126 \, b^{4} x^{4} + 420 \, a b^{3} x^{3} + 540 \, a^{2} b^{2} x^{2} + 315 \, a^{3} b x + 70 \, a^{4}}{630 \, x^{9}}"," ",0,"-1/630*(126*b^4*x^4 + 420*a*b^3*x^3 + 540*a^2*b^2*x^2 + 315*a^3*b*x + 70*a^4)/x^9","A",0
248,1,35,0,1.085986," ","integrate((b*x+a)^3/x^10,x, algorithm=""giac"")","-\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
249,1,24,0,0.873175," ","integrate((b*x+a)^2/x^10,x, algorithm=""giac"")","-\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
250,1,13,0,0.995238," ","integrate((b*x+a)/x^10,x, algorithm=""giac"")","-\frac{9 \, b x + 8 \, a}{72 \, x^{9}}"," ",0,"-1/72*(9*b*x + 8*a)/x^9","A",0
251,1,5,0,1.043940," ","integrate(1/x^10,x, algorithm=""giac"")","-\frac{1}{9 \, x^{9}}"," ",0,"-1/9/x^9","A",0
252,1,122,0,1.160650," ","integrate(1/x^10/(b*x+a),x, algorithm=""giac"")","\frac{b^{9} \log\left({\left| b x + a \right|}\right)}{a^{10}} - \frac{b^{9} \log\left({\left| x \right|}\right)}{a^{10}} - \frac{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,"b^9*log(abs(b*x + a))/a^10 - b^9*log(abs(x))/a^10 - 1/2520*(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
253,1,180,0,1.283563," ","integrate(1/x^10/(b*x+a)^2,x, algorithm=""giac"")","-\frac{10 \, b^{9} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{11}} - \frac{b^{9}}{{\left(b x + a\right)} a^{10}} - \frac{\frac{41481 \, a b^{9}}{b x + a} - \frac{155844 \, a^{2} b^{9}}{{\left(b x + a\right)}^{2}} + \frac{337176 \, a^{3} b^{9}}{{\left(b x + a\right)}^{3}} - \frac{460404 \, a^{4} b^{9}}{{\left(b x + a\right)}^{4}} + \frac{407484 \, a^{5} b^{9}}{{\left(b x + a\right)}^{5}} - \frac{229320 \, a^{6} b^{9}}{{\left(b x + a\right)}^{6}} + \frac{75600 \, a^{7} b^{9}}{{\left(b x + a\right)}^{7}} - \frac{11340 \, a^{8} b^{9}}{{\left(b x + a\right)}^{8}} - 4861 \, b^{9}}{252 \, a^{11} {\left(\frac{a}{b x + a} - 1\right)}^{9}}"," ",0,"-10*b^9*log(abs(-a/(b*x + a) + 1))/a^11 - b^9/((b*x + a)*a^10) - 1/252*(41481*a*b^9/(b*x + a) - 155844*a^2*b^9/(b*x + a)^2 + 337176*a^3*b^9/(b*x + a)^3 - 460404*a^4*b^9/(b*x + a)^4 + 407484*a^5*b^9/(b*x + a)^5 - 229320*a^6*b^9/(b*x + a)^6 + 75600*a^7*b^9/(b*x + a)^7 - 11340*a^8*b^9/(b*x + a)^8 - 4861*b^9)/(a^11*(a/(b*x + a) - 1)^9)","A",0
254,1,152,0,1.128325," ","integrate(1/x^10/(b*x+a)^3,x, algorithm=""giac"")","\frac{55 \, b^{9} \log\left({\left| b x + a \right|}\right)}{a^{12}} - \frac{55 \, b^{9} \log\left({\left| x \right|}\right)}{a^{12}} - \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}}{504 \, {\left(b x + a\right)}^{2} a^{12} x^{9}}"," ",0,"55*b^9*log(abs(b*x + a))/a^12 - 55*b^9*log(abs(x))/a^12 - 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)/((b*x + a)^2*a^12*x^9)","A",0
255,1,15,0,1.146951," ","integrate(1/x/(2+3*x),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left({\left| 3 \, x + 2 \right|}\right) + \frac{1}{2} \, \log\left({\left| x \right|}\right)"," ",0,"-1/2*log(abs(3*x + 2)) + 1/2*log(abs(x))","A",0
256,1,15,0,1.005815," ","integrate(1/x/(4+6*x),x, algorithm=""giac"")","-\frac{1}{4} \, \log\left({\left| 3 \, x + 2 \right|}\right) + \frac{1}{4} \, \log\left({\left| x \right|}\right)"," ",0,"-1/4*log(abs(3*x + 2)) + 1/4*log(abs(x))","A",0
257,1,20,0,1.012622," ","integrate(1/x^2/(4+6*x),x, algorithm=""giac"")","-\frac{1}{4 \, x} + \frac{3}{8} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{3}{8} \, \log\left({\left| x \right|}\right)"," ",0,"-1/4/x + 3/8*log(abs(3*x + 2)) - 3/8*log(abs(x))","A",0
258,1,25,0,1.072456," ","integrate(1/x^3/(4+6*x),x, algorithm=""giac"")","\frac{3 \, x - 1}{8 \, x^{2}} - \frac{9}{16} \, \log\left({\left| 3 \, x + 2 \right|}\right) + \frac{9}{16} \, \log\left({\left| x \right|}\right)"," ",0,"1/8*(3*x - 1)/x^2 - 9/16*log(abs(3*x + 2)) + 9/16*log(abs(x))","A",0
259,1,30,0,1.028427," ","integrate(1/x^4/(4+6*x),x, algorithm=""giac"")","-\frac{27 \, x^{2} - 9 \, x + 4}{48 \, x^{3}} + \frac{27}{32} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{27}{32} \, \log\left({\left| x \right|}\right)"," ",0,"-1/48*(27*x^2 - 9*x + 4)/x^3 + 27/32*log(abs(3*x + 2)) - 27/32*log(abs(x))","A",0
260,1,35,0,1.139640," ","integrate(1/x^5/(4+6*x),x, algorithm=""giac"")","\frac{27 \, x^{3} - 9 \, x^{2} + 4 \, x - 2}{32 \, x^{4}} - \frac{81}{64} \, \log\left({\left| 3 \, x + 2 \right|}\right) + \frac{81}{64} \, \log\left({\left| x \right|}\right)"," ",0,"1/32*(27*x^3 - 9*x^2 + 4*x - 2)/x^4 - 81/64*log(abs(3*x + 2)) + 81/64*log(abs(x))","A",0
261,1,25,0,1.114371," ","integrate(1/x/(4+6*x)^2,x, algorithm=""giac"")","\frac{1}{8 \, {\left(3 \, x + 2\right)}} + \frac{1}{16} \, \log\left({\left| -\frac{2}{3 \, x + 2} + 1 \right|}\right)"," ",0,"1/8/(3*x + 2) + 1/16*log(abs(-2/(3*x + 2) + 1))","A",0
262,1,40,0,0.951411," ","integrate(1/x^2/(4+6*x)^2,x, algorithm=""giac"")","-\frac{3}{16 \, {\left(3 \, x + 2\right)}} + \frac{3}{32 \, {\left(\frac{2}{3 \, x + 2} - 1\right)}} - \frac{3}{16} \, \log\left({\left| -\frac{2}{3 \, x + 2} + 1 \right|}\right)"," ",0,"-3/16/(3*x + 2) + 3/32/(2/(3*x + 2) - 1) - 3/16*log(abs(-2/(3*x + 2) + 1))","A",0
263,1,51,0,0.936749," ","integrate(1/x^3/(4+6*x)^2,x, algorithm=""giac"")","\frac{9}{32 \, {\left(3 \, x + 2\right)}} - \frac{9 \, {\left(\frac{12}{3 \, x + 2} - 5\right)}}{128 \, {\left(\frac{2}{3 \, x + 2} - 1\right)}^{2}} + \frac{27}{64} \, \log\left({\left| -\frac{2}{3 \, x + 2} + 1 \right|}\right)"," ",0,"9/32/(3*x + 2) - 9/128*(12/(3*x + 2) - 5)/(2/(3*x + 2) - 1)^2 + 27/64*log(abs(-2/(3*x + 2) + 1))","A",0
264,1,60,0,1.232150," ","integrate(1/x^4/(4+6*x)^2,x, algorithm=""giac"")","-\frac{27}{64 \, {\left(3 \, x + 2\right)}} - \frac{9 \, {\left(\frac{60}{3 \, x + 2} - \frac{72}{{\left(3 \, x + 2\right)}^{2}} - 13\right)}}{128 \, {\left(\frac{2}{3 \, x + 2} - 1\right)}^{3}} - \frac{27}{32} \, \log\left({\left| -\frac{2}{3 \, x + 2} + 1 \right|}\right)"," ",0,"-27/64/(3*x + 2) - 9/128*(60/(3*x + 2) - 72/(3*x + 2)^2 - 13)/(2/(3*x + 2) - 1)^3 - 27/32*log(abs(-2/(3*x + 2) + 1))","A",0
265,1,69,0,1.153729," ","integrate(1/x^5/(4+6*x)^2,x, algorithm=""giac"")","\frac{81}{128 \, {\left(3 \, x + 2\right)}} - \frac{27 \, {\left(\frac{520}{3 \, x + 2} - \frac{1200}{{\left(3 \, x + 2\right)}^{2}} + \frac{960}{{\left(3 \, x + 2\right)}^{3}} - 77\right)}}{1024 \, {\left(\frac{2}{3 \, x + 2} - 1\right)}^{4}} + \frac{405}{256} \, \log\left({\left| -\frac{2}{3 \, x + 2} + 1 \right|}\right)"," ",0,"81/128/(3*x + 2) - 27/1024*(520/(3*x + 2) - 1200/(3*x + 2)^2 + 960/(3*x + 2)^3 - 77)/(2/(3*x + 2) - 1)^4 + 405/256*log(abs(-2/(3*x + 2) + 1))","A",0
266,1,27,0,1.034367," ","integrate(1/x/(4+6*x)^3,x, algorithm=""giac"")","\frac{3 \, {\left(x + 1\right)}}{32 \, {\left(3 \, x + 2\right)}^{2}} - \frac{1}{64} \, \log\left({\left| 3 \, x + 2 \right|}\right) + \frac{1}{64} \, \log\left({\left| x \right|}\right)"," ",0,"3/32*(x + 1)/(3*x + 2)^2 - 1/64*log(abs(3*x + 2)) + 1/64*log(abs(x))","A",0
267,1,37,0,0.894114," ","integrate(1/x^2/(4+6*x)^3,x, algorithm=""giac"")","-\frac{27 \, x^{2} + 27 \, x + 4}{64 \, {\left(3 \, x + 2\right)}^{2} x} + \frac{9}{128} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{9}{128} \, \log\left({\left| x \right|}\right)"," ",0,"-1/64*(27*x^2 + 27*x + 4)/((3*x + 2)^2*x) + 9/128*log(abs(3*x + 2)) - 9/128*log(abs(x))","A",0
268,1,43,0,1.068274," ","integrate(1/x^3/(4+6*x)^3,x, algorithm=""giac"")","\frac{81 \, x^{3} + 81 \, x^{2} + 12 \, x - 2}{64 \, {\left(3 \, x^{2} + 2 \, x\right)}^{2}} - \frac{27}{128} \, \log\left({\left| 3 \, x + 2 \right|}\right) + \frac{27}{128} \, \log\left({\left| x \right|}\right)"," ",0,"1/64*(81*x^3 + 81*x^2 + 12*x - 2)/(3*x^2 + 2*x)^2 - 27/128*log(abs(3*x + 2)) + 27/128*log(abs(x))","A",0
269,1,47,0,1.290876," ","integrate(1/x^4/(4+6*x)^3,x, algorithm=""giac"")","-\frac{1215 \, x^{4} + 1215 \, x^{3} + 180 \, x^{2} - 30 \, x + 8}{384 \, {\left(3 \, x + 2\right)}^{2} x^{3}} + \frac{135}{256} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{135}{256} \, \log\left({\left| x \right|}\right)"," ",0,"-1/384*(1215*x^4 + 1215*x^3 + 180*x^2 - 30*x + 8)/((3*x + 2)^2*x^3) + 135/256*log(abs(3*x + 2)) - 135/256*log(abs(x))","A",0
270,1,52,0,1.133107," ","integrate(1/x^5/(4+6*x)^3,x, algorithm=""giac"")","\frac{3645 \, x^{5} + 3645 \, x^{4} + 540 \, x^{3} - 90 \, x^{2} + 24 \, x - 8}{512 \, {\left(3 \, x + 2\right)}^{2} x^{4}} - \frac{1215}{1024} \, \log\left({\left| 3 \, x + 2 \right|}\right) + \frac{1215}{1024} \, \log\left({\left| x \right|}\right)"," ",0,"1/512*(3645*x^5 + 3645*x^4 + 540*x^3 - 90*x^2 + 24*x - 8)/((3*x + 2)^2*x^4) - 1215/1024*log(abs(3*x + 2)) + 1215/1024*log(abs(x))","A",0
271,1,7,0,0.902067," ","integrate(1/(2*x+2),x, algorithm=""giac"")","\frac{1}{2} \, \log\left({\left| x + 1 \right|}\right)"," ",0,"1/2*log(abs(x + 1))","A",0
272,1,9,0,1.146044," ","integrate(1/(4-6*x),x, algorithm=""giac"")","-\frac{1}{6} \, \log\left({\left| 3 \, x - 2 \right|}\right)"," ",0,"-1/6*log(abs(3*x - 2))","A",0
273,1,13,0,1.284979," ","integrate(1/(a+x*a^(1/2)),x, algorithm=""giac"")","\frac{\log\left({\left| \sqrt{a} x + a \right|}\right)}{\sqrt{a}}"," ",0,"log(abs(sqrt(a)*x + a))/sqrt(a)","A",0
274,1,17,0,1.101742," ","integrate(1/(a+x*(-a)^(1/2)),x, algorithm=""giac"")","\frac{\log\left({\left| \sqrt{-a} x + a \right|}\right)}{\sqrt{-a}}"," ",0,"log(abs(sqrt(-a)*x + a))/sqrt(-a)","A",0
275,1,19,0,0.930794," ","integrate(1/(a^2+x*(-a)^(1/2)),x, algorithm=""giac"")","\frac{\log\left({\left| a^{2} + \sqrt{-a} x \right|}\right)}{\sqrt{-a}}"," ",0,"log(abs(a^2 + sqrt(-a)*x))/sqrt(-a)","A",0
276,1,19,0,1.090995," ","integrate(1/(a^3+x*(-a)^(1/2)),x, algorithm=""giac"")","\frac{\log\left({\left| a^{3} + \sqrt{-a} x \right|}\right)}{\sqrt{-a}}"," ",0,"log(abs(a^3 + sqrt(-a)*x))/sqrt(-a)","A",0
277,1,19,0,1.040318," ","integrate(1/(1/a+x*(-a)^(1/2)),x, algorithm=""giac"")","\frac{\log\left({\left| \sqrt{-a} x + \frac{1}{a} \right|}\right)}{\sqrt{-a}}"," ",0,"log(abs(sqrt(-a)*x + 1/a))/sqrt(-a)","A",0
278,1,19,0,1.078681," ","integrate(1/(1/a^2+x*(-a)^(1/2)),x, algorithm=""giac"")","\frac{\log\left({\left| \sqrt{-a} x + \frac{1}{a^{2}} \right|}\right)}{\sqrt{-a}}"," ",0,"log(abs(sqrt(-a)*x + 1/a^2))/sqrt(-a)","A",0
279,1,13,0,0.991644," ","integrate(1/x/(b*x+1),x, algorithm=""giac"")","-\log\left({\left| b x + 1 \right|}\right) + \log\left({\left| x \right|}\right)"," ",0,"-log(abs(b*x + 1)) + log(abs(x))","A",0
280,1,13,0,1.021257," ","integrate(1/x/(b*x-1),x, algorithm=""giac"")","\log\left({\left| b x - 1 \right|}\right) - \log\left({\left| x \right|}\right)"," ",0,"log(abs(b*x - 1)) - log(abs(x))","A",0
281,1,21,0,0.916136," ","integrate(1/x^2/(b*x+1),x, algorithm=""giac"")","b \log\left({\left| b x + 1 \right|}\right) - b \log\left({\left| x \right|}\right) - \frac{1}{x}"," ",0,"b*log(abs(b*x + 1)) - b*log(abs(x)) - 1/x","A",0
282,1,19,0,1.143948," ","integrate(1/x^2/(b*x-1),x, algorithm=""giac"")","b \log\left({\left| b x - 1 \right|}\right) - b \log\left({\left| x \right|}\right) + \frac{1}{x}"," ",0,"b*log(abs(b*x - 1)) - b*log(abs(x)) + 1/x","A",0
283,1,15,0,1.251230," ","integrate(b/x+1/x^2/(b*x+1),x, algorithm=""giac"")","b \log\left({\left| b x + 1 \right|}\right) - \frac{1}{x}"," ",0,"b*log(abs(b*x + 1)) - 1/x","A",0
284,1,116,0,0.948244," ","integrate(x^3*(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{9 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a}{b^{3}} + \frac{35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}}{b^{3}}\right)}}{315 \, b}"," ",0,"2/315*(9*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a/b^3 + (35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)/b^3)/b","B",0
285,1,93,0,1.032079," ","integrate(x^2*(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{7 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a}{b^{2}} + \frac{3 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)}}{b^{2}}\right)}}{105 \, b}"," ",0,"2/105*(7*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a/b^2 + 3*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)/b^2)/b","B",0
286,1,66,0,1.283825," ","integrate(x*(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{5 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a}{b} + \frac{3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}}{b}\right)}}{15 \, b}"," ",0,"2/15*(5*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a/b + (3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)/b)/b","B",0
287,1,12,0,1.057988," ","integrate((b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"2/3*(b*x + a)^(3/2)/b","A",0
288,1,32,0,1.130527," ","integrate((b*x+a)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, a \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 2 \, \sqrt{b x + a}"," ",0,"2*a*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2*sqrt(b*x + a)","A",0
289,1,41,0,0.964254," ","integrate((b*x+a)^(1/2)/x^2,x, algorithm=""giac"")","\frac{\frac{b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{\sqrt{b x + a} b}{x}}{b}"," ",0,"(b^2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) - sqrt(b*x + a)*b/x)/b","A",0
290,1,66,0,1.135674," ","integrate((b*x+a)^(1/2)/x^3,x, algorithm=""giac"")","-\frac{\frac{b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{{\left(b x + a\right)}^{\frac{3}{2}} b^{3} + \sqrt{b x + a} a b^{3}}{a b^{2} x^{2}}}{4 \, b}"," ",0,"-1/4*(b^3*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) + ((b*x + a)^(3/2)*b^3 + sqrt(b*x + a)*a*b^3)/(a*b^2*x^2))/b","A",0
291,1,84,0,1.228590," ","integrate((b*x+a)^(1/2)/x^4,x, algorithm=""giac"")","\frac{\frac{3 \, b^{4} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{4} - 8 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{4} - 3 \, \sqrt{b x + a} a^{2} b^{4}}{a^{2} b^{3} x^{3}}}{24 \, b}"," ",0,"1/24*(3*b^4*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + (3*(b*x + a)^(5/2)*b^4 - 8*(b*x + a)^(3/2)*a*b^4 - 3*sqrt(b*x + a)*a^2*b^4)/(a^2*b^3*x^3))/b","A",0
292,1,193,0,1.107634," ","integrate(x^3*(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{99 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a^{2}}{b^{3}} + \frac{22 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a}{b^{3}} + \frac{5 \, {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)}}{b^{3}}\right)}}{3465 \, b}"," ",0,"2/3465*(99*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a^2/b^3 + 22*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a/b^3 + 5*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)/b^3)/b","B",0
293,1,156,0,0.935813," ","integrate(x^2*(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{21 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a^{2}}{b^{2}} + \frac{18 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a}{b^{2}} + \frac{35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}}{b^{2}}\right)}}{315 \, b}"," ",0,"2/315*(21*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a^2/b^2 + 18*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a/b^2 + (35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)/b^2)/b","B",0
294,1,119,0,1.239770," ","integrate(x*(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{35 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a^{2}}{b} + \frac{14 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a}{b} + \frac{3 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)}}{b}\right)}}{105 \, b}"," ",0,"2/105*(35*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a^2/b + 14*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a/b + 3*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)/b)/b","B",0
295,1,58,0,1.126377," ","integrate((b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 30 \, \sqrt{b x + a} a^{2} + 10 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a\right)}}{15 \, b}"," ",0,"2/15*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 30*sqrt(b*x + a)*a^2 + 10*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a)/b","B",0
296,1,44,0,1.076767," ","integrate((b*x+a)^(3/2)/x,x, algorithm=""giac"")","\frac{2 \, a^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \frac{2}{3} \, {\left(b x + a\right)}^{\frac{3}{2}} + 2 \, \sqrt{b x + a} a"," ",0,"2*a^2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2/3*(b*x + a)^(3/2) + 2*sqrt(b*x + a)*a","A",0
297,1,56,0,1.043468," ","integrate((b*x+a)^(3/2)/x^2,x, algorithm=""giac"")","\frac{\frac{3 \, a b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 2 \, \sqrt{b x + a} b^{2} - \frac{\sqrt{b x + a} a b}{x}}{b}"," ",0,"(3*a*b^2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2*sqrt(b*x + a)*b^2 - sqrt(b*x + a)*a*b/x)/b","A",0
298,1,64,0,1.287370," ","integrate((b*x+a)^(3/2)/x^3,x, algorithm=""giac"")","\frac{\frac{3 \, b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{5 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{3} - 3 \, \sqrt{b x + a} a b^{3}}{b^{2} x^{2}}}{4 \, b}"," ",0,"1/4*(3*b^3*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) - (5*(b*x + a)^(3/2)*b^3 - 3*sqrt(b*x + a)*a*b^3)/(b^2*x^2))/b","A",0
299,1,84,0,1.160603," ","integrate((b*x+a)^(3/2)/x^4,x, algorithm=""giac"")","-\frac{\frac{3 \, b^{4} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{4} + 8 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{4} - 3 \, \sqrt{b x + a} a^{2} b^{4}}{a b^{3} x^{3}}}{24 \, b}"," ",0,"-1/24*(3*b^4*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) + (3*(b*x + a)^(5/2)*b^4 + 8*(b*x + a)^(3/2)*a*b^4 - 3*sqrt(b*x + a)*a^2*b^4)/(a*b^3*x^3))/b","A",0
300,1,281,0,1.157953," ","integrate(x^3*(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{429 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a^{3}}{b^{3}} + \frac{143 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a^{2}}{b^{3}} + \frac{65 \, {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)} a}{b^{3}} + \frac{5 \, {\left(231 \, {\left(b x + a\right)}^{\frac{13}{2}} - 1638 \, {\left(b x + a\right)}^{\frac{11}{2}} a + 5005 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} - 8580 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} + 9009 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} - 6006 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} + 3003 \, \sqrt{b x + a} a^{6}\right)}}{b^{3}}\right)}}{15015 \, b}"," ",0,"2/15015*(429*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a^3/b^3 + 143*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a^2/b^3 + 65*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)*a/b^3 + 5*(231*(b*x + a)^(13/2) - 1638*(b*x + a)^(11/2)*a + 5005*(b*x + a)^(9/2)*a^2 - 8580*(b*x + a)^(7/2)*a^3 + 9009*(b*x + a)^(5/2)*a^4 - 6006*(b*x + a)^(3/2)*a^5 + 3003*sqrt(b*x + a)*a^6)/b^3)/b","B",0
301,1,233,0,1.089711," ","integrate(x^2*(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{231 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a^{3}}{b^{2}} + \frac{297 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a^{2}}{b^{2}} + \frac{33 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a}{b^{2}} + \frac{5 \, {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)}}{b^{2}}\right)}}{3465 \, b}"," ",0,"2/3465*(231*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a^3/b^2 + 297*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a^2/b^2 + 33*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a/b^2 + 5*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)/b^2)/b","B",0
302,1,182,0,1.152135," ","integrate(x*(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{105 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a^{3}}{b} + \frac{63 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a^{2}}{b} + \frac{27 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a}{b} + \frac{35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}}{b}\right)}}{315 \, b}"," ",0,"2/315*(105*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a^3/b + 63*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a^2/b + 27*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a/b + (35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)/b)/b","B",0
303,1,95,0,0.982735," ","integrate((b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} + 35 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a^{2} + 7 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a\right)}}{35 \, b}"," ",0,"2/35*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 + 35*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a^2 + 7*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a)/b","B",0
304,1,56,0,1.027230," ","integrate((b*x+a)^(5/2)/x,x, algorithm=""giac"")","\frac{2 \, a^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \frac{2}{5} \, {\left(b x + a\right)}^{\frac{5}{2}} + \frac{2}{3} \, {\left(b x + a\right)}^{\frac{3}{2}} a + 2 \, \sqrt{b x + a} a^{2}"," ",0,"2*a^3*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2/5*(b*x + a)^(5/2) + 2/3*(b*x + a)^(3/2)*a + 2*sqrt(b*x + a)*a^2","A",0
305,1,74,0,1.088414," ","integrate((b*x+a)^(5/2)/x^2,x, algorithm=""giac"")","\frac{\frac{15 \, a^{2} b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 2 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2} + 12 \, \sqrt{b x + a} a b^{2} - \frac{3 \, \sqrt{b x + a} a^{2} b}{x}}{3 \, b}"," ",0,"1/3*(15*a^2*b^2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2*(b*x + a)^(3/2)*b^2 + 12*sqrt(b*x + a)*a*b^2 - 3*sqrt(b*x + a)*a^2*b/x)/b","A",0
306,1,80,0,1.120027," ","integrate((b*x+a)^(5/2)/x^3,x, algorithm=""giac"")","\frac{\frac{15 \, a b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 8 \, \sqrt{b x + a} b^{3} - \frac{9 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{3} - 7 \, \sqrt{b x + a} a^{2} b^{3}}{b^{2} x^{2}}}{4 \, b}"," ",0,"1/4*(15*a*b^3*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 8*sqrt(b*x + a)*b^3 - (9*(b*x + a)^(3/2)*a*b^3 - 7*sqrt(b*x + a)*a^2*b^3)/(b^2*x^2))/b","A",0
307,1,79,0,1.129822," ","integrate((b*x+a)^(5/2)/x^4,x, algorithm=""giac"")","\frac{\frac{15 \, b^{4} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{33 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{4} - 40 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{4} + 15 \, \sqrt{b x + a} a^{2} b^{4}}{b^{3} x^{3}}}{24 \, b}"," ",0,"1/24*(15*b^4*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) - (33*(b*x + a)^(5/2)*b^4 - 40*(b*x + a)^(3/2)*a*b^4 + 15*sqrt(b*x + a)*a^2*b^4)/(b^3*x^3))/b","A",0
308,1,99,0,1.094327," ","integrate((b*x+a)^(5/2)/x^5,x, algorithm=""giac"")","-\frac{\frac{15 \, b^{5} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{15 \, {\left(b x + a\right)}^{\frac{7}{2}} b^{5} + 73 \, {\left(b x + a\right)}^{\frac{5}{2}} a b^{5} - 55 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b^{5} + 15 \, \sqrt{b x + a} a^{3} b^{5}}{a b^{4} x^{4}}}{192 \, b}"," ",0,"-1/192*(15*b^5*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) + (15*(b*x + a)^(7/2)*b^5 + 73*(b*x + a)^(5/2)*a*b^5 - 55*(b*x + a)^(3/2)*a^2*b^5 + 15*sqrt(b*x + a)*a^3*b^5)/(a*b^4*x^4))/b","A",0
309,1,781,0,1.140176," ","integrate(x^7*(b*x+a)^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{260015 \, {\left(429 \, {\left(b x + a\right)}^{\frac{15}{2}} - 3465 \, {\left(b x + a\right)}^{\frac{13}{2}} a + 12285 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{2} - 25025 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{3} + 32175 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{4} - 27027 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{5} + 15015 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{6} - 6435 \, \sqrt{b x + a} a^{7}\right)} a^{5}}{b^{7}} + \frac{76475 \, {\left(6435 \, {\left(b x + a\right)}^{\frac{17}{2}} - 58344 \, {\left(b x + a\right)}^{\frac{15}{2}} a + 235620 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{2} - 556920 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{3} + 850850 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{4} - 875160 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{5} + 612612 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{6} - 291720 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{7} + 109395 \, \sqrt{b x + a} a^{8}\right)} a^{4}}{b^{7}} + \frac{72450 \, {\left(12155 \, {\left(b x + a\right)}^{\frac{19}{2}} - 122265 \, {\left(b x + a\right)}^{\frac{17}{2}} a + 554268 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{2} - 1492260 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{3} + 2645370 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{4} - 3233230 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{5} + 2771340 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{6} - 1662804 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{7} + 692835 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{8} - 230945 \, \sqrt{b x + a} a^{9}\right)} a^{3}}{b^{7}} + \frac{17250 \, {\left(46189 \, {\left(b x + a\right)}^{\frac{21}{2}} - 510510 \, {\left(b x + a\right)}^{\frac{19}{2}} a + 2567565 \, {\left(b x + a\right)}^{\frac{17}{2}} a^{2} - 7759752 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{3} + 15668730 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{4} - 22221108 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{5} + 22632610 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{6} - 16628040 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{7} + 8729721 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{8} - 3233230 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{9} + 969969 \, \sqrt{b x + a} a^{10}\right)} a^{2}}{b^{7}} + \frac{4125 \, {\left(88179 \, {\left(b x + a\right)}^{\frac{23}{2}} - 1062347 \, {\left(b x + a\right)}^{\frac{21}{2}} a + 5870865 \, {\left(b x + a\right)}^{\frac{19}{2}} a^{2} - 19684665 \, {\left(b x + a\right)}^{\frac{17}{2}} a^{3} + 44618574 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{4} - 72076158 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{5} + 85180914 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{6} - 74364290 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{7} + 47805615 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{8} - 22309287 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{9} + 7436429 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{10} - 2028117 \, \sqrt{b x + a} a^{11}\right)} a}{b^{7}} + \frac{99 \, {\left(676039 \, {\left(b x + a\right)}^{\frac{25}{2}} - 8817900 \, {\left(b x + a\right)}^{\frac{23}{2}} a + 53117350 \, {\left(b x + a\right)}^{\frac{21}{2}} a^{2} - 195695500 \, {\left(b x + a\right)}^{\frac{19}{2}} a^{3} + 492116625 \, {\left(b x + a\right)}^{\frac{17}{2}} a^{4} - 892371480 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{5} + 1201269300 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{6} - 1216870200 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{7} + 929553625 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{8} - 531173500 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{9} + 223092870 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{10} - 67603900 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{11} + 16900975 \, \sqrt{b x + a} a^{12}\right)}}{b^{7}}\right)}}{1673196525 \, b}"," ",0,"2/1673196525*(260015*(429*(b*x + a)^(15/2) - 3465*(b*x + a)^(13/2)*a + 12285*(b*x + a)^(11/2)*a^2 - 25025*(b*x + a)^(9/2)*a^3 + 32175*(b*x + a)^(7/2)*a^4 - 27027*(b*x + a)^(5/2)*a^5 + 15015*(b*x + a)^(3/2)*a^6 - 6435*sqrt(b*x + a)*a^7)*a^5/b^7 + 76475*(6435*(b*x + a)^(17/2) - 58344*(b*x + a)^(15/2)*a + 235620*(b*x + a)^(13/2)*a^2 - 556920*(b*x + a)^(11/2)*a^3 + 850850*(b*x + a)^(9/2)*a^4 - 875160*(b*x + a)^(7/2)*a^5 + 612612*(b*x + a)^(5/2)*a^6 - 291720*(b*x + a)^(3/2)*a^7 + 109395*sqrt(b*x + a)*a^8)*a^4/b^7 + 72450*(12155*(b*x + a)^(19/2) - 122265*(b*x + a)^(17/2)*a + 554268*(b*x + a)^(15/2)*a^2 - 1492260*(b*x + a)^(13/2)*a^3 + 2645370*(b*x + a)^(11/2)*a^4 - 3233230*(b*x + a)^(9/2)*a^5 + 2771340*(b*x + a)^(7/2)*a^6 - 1662804*(b*x + a)^(5/2)*a^7 + 692835*(b*x + a)^(3/2)*a^8 - 230945*sqrt(b*x + a)*a^9)*a^3/b^7 + 17250*(46189*(b*x + a)^(21/2) - 510510*(b*x + a)^(19/2)*a + 2567565*(b*x + a)^(17/2)*a^2 - 7759752*(b*x + a)^(15/2)*a^3 + 15668730*(b*x + a)^(13/2)*a^4 - 22221108*(b*x + a)^(11/2)*a^5 + 22632610*(b*x + a)^(9/2)*a^6 - 16628040*(b*x + a)^(7/2)*a^7 + 8729721*(b*x + a)^(5/2)*a^8 - 3233230*(b*x + a)^(3/2)*a^9 + 969969*sqrt(b*x + a)*a^10)*a^2/b^7 + 4125*(88179*(b*x + a)^(23/2) - 1062347*(b*x + a)^(21/2)*a + 5870865*(b*x + a)^(19/2)*a^2 - 19684665*(b*x + a)^(17/2)*a^3 + 44618574*(b*x + a)^(15/2)*a^4 - 72076158*(b*x + a)^(13/2)*a^5 + 85180914*(b*x + a)^(11/2)*a^6 - 74364290*(b*x + a)^(9/2)*a^7 + 47805615*(b*x + a)^(7/2)*a^8 - 22309287*(b*x + a)^(5/2)*a^9 + 7436429*(b*x + a)^(3/2)*a^10 - 2028117*sqrt(b*x + a)*a^11)*a/b^7 + 99*(676039*(b*x + a)^(25/2) - 8817900*(b*x + a)^(23/2)*a + 53117350*(b*x + a)^(21/2)*a^2 - 195695500*(b*x + a)^(19/2)*a^3 + 492116625*(b*x + a)^(17/2)*a^4 - 892371480*(b*x + a)^(15/2)*a^5 + 1201269300*(b*x + a)^(13/2)*a^6 - 1216870200*(b*x + a)^(11/2)*a^7 + 929553625*(b*x + a)^(9/2)*a^8 - 531173500*(b*x + a)^(7/2)*a^9 + 223092870*(b*x + a)^(5/2)*a^10 - 67603900*(b*x + a)^(3/2)*a^11 + 16900975*sqrt(b*x + a)*a^12)/b^7)/b","B",0
310,1,709,0,1.324033," ","integrate(x^6*(b*x+a)^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{22287 \, {\left(231 \, {\left(b x + a\right)}^{\frac{13}{2}} - 1638 \, {\left(b x + a\right)}^{\frac{11}{2}} a + 5005 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} - 8580 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} + 9009 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} - 6006 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} + 3003 \, \sqrt{b x + a} a^{6}\right)} a^{5}}{b^{6}} + \frac{52003 \, {\left(429 \, {\left(b x + a\right)}^{\frac{15}{2}} - 3465 \, {\left(b x + a\right)}^{\frac{13}{2}} a + 12285 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{2} - 25025 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{3} + 32175 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{4} - 27027 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{5} + 15015 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{6} - 6435 \, \sqrt{b x + a} a^{7}\right)} a^{4}}{b^{6}} + \frac{6118 \, {\left(6435 \, {\left(b x + a\right)}^{\frac{17}{2}} - 58344 \, {\left(b x + a\right)}^{\frac{15}{2}} a + 235620 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{2} - 556920 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{3} + 850850 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{4} - 875160 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{5} + 612612 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{6} - 291720 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{7} + 109395 \, \sqrt{b x + a} a^{8}\right)} a^{3}}{b^{6}} + \frac{2898 \, {\left(12155 \, {\left(b x + a\right)}^{\frac{19}{2}} - 122265 \, {\left(b x + a\right)}^{\frac{17}{2}} a + 554268 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{2} - 1492260 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{3} + 2645370 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{4} - 3233230 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{5} + 2771340 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{6} - 1662804 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{7} + 692835 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{8} - 230945 \, \sqrt{b x + a} a^{9}\right)} a^{2}}{b^{6}} + \frac{345 \, {\left(46189 \, {\left(b x + a\right)}^{\frac{21}{2}} - 510510 \, {\left(b x + a\right)}^{\frac{19}{2}} a + 2567565 \, {\left(b x + a\right)}^{\frac{17}{2}} a^{2} - 7759752 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{3} + 15668730 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{4} - 22221108 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{5} + 22632610 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{6} - 16628040 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{7} + 8729721 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{8} - 3233230 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{9} + 969969 \, \sqrt{b x + a} a^{10}\right)} a}{b^{6}} + \frac{33 \, {\left(88179 \, {\left(b x + a\right)}^{\frac{23}{2}} - 1062347 \, {\left(b x + a\right)}^{\frac{21}{2}} a + 5870865 \, {\left(b x + a\right)}^{\frac{19}{2}} a^{2} - 19684665 \, {\left(b x + a\right)}^{\frac{17}{2}} a^{3} + 44618574 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{4} - 72076158 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{5} + 85180914 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{6} - 74364290 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{7} + 47805615 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{8} - 22309287 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{9} + 7436429 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{10} - 2028117 \, \sqrt{b x + a} a^{11}\right)}}{b^{6}}\right)}}{66927861 \, b}"," ",0,"2/66927861*(22287*(231*(b*x + a)^(13/2) - 1638*(b*x + a)^(11/2)*a + 5005*(b*x + a)^(9/2)*a^2 - 8580*(b*x + a)^(7/2)*a^3 + 9009*(b*x + a)^(5/2)*a^4 - 6006*(b*x + a)^(3/2)*a^5 + 3003*sqrt(b*x + a)*a^6)*a^5/b^6 + 52003*(429*(b*x + a)^(15/2) - 3465*(b*x + a)^(13/2)*a + 12285*(b*x + a)^(11/2)*a^2 - 25025*(b*x + a)^(9/2)*a^3 + 32175*(b*x + a)^(7/2)*a^4 - 27027*(b*x + a)^(5/2)*a^5 + 15015*(b*x + a)^(3/2)*a^6 - 6435*sqrt(b*x + a)*a^7)*a^4/b^6 + 6118*(6435*(b*x + a)^(17/2) - 58344*(b*x + a)^(15/2)*a + 235620*(b*x + a)^(13/2)*a^2 - 556920*(b*x + a)^(11/2)*a^3 + 850850*(b*x + a)^(9/2)*a^4 - 875160*(b*x + a)^(7/2)*a^5 + 612612*(b*x + a)^(5/2)*a^6 - 291720*(b*x + a)^(3/2)*a^7 + 109395*sqrt(b*x + a)*a^8)*a^3/b^6 + 2898*(12155*(b*x + a)^(19/2) - 122265*(b*x + a)^(17/2)*a + 554268*(b*x + a)^(15/2)*a^2 - 1492260*(b*x + a)^(13/2)*a^3 + 2645370*(b*x + a)^(11/2)*a^4 - 3233230*(b*x + a)^(9/2)*a^5 + 2771340*(b*x + a)^(7/2)*a^6 - 1662804*(b*x + a)^(5/2)*a^7 + 692835*(b*x + a)^(3/2)*a^8 - 230945*sqrt(b*x + a)*a^9)*a^2/b^6 + 345*(46189*(b*x + a)^(21/2) - 510510*(b*x + a)^(19/2)*a + 2567565*(b*x + a)^(17/2)*a^2 - 7759752*(b*x + a)^(15/2)*a^3 + 15668730*(b*x + a)^(13/2)*a^4 - 22221108*(b*x + a)^(11/2)*a^5 + 22632610*(b*x + a)^(9/2)*a^6 - 16628040*(b*x + a)^(7/2)*a^7 + 8729721*(b*x + a)^(5/2)*a^8 - 3233230*(b*x + a)^(3/2)*a^9 + 969969*sqrt(b*x + a)*a^10)*a/b^6 + 33*(88179*(b*x + a)^(23/2) - 1062347*(b*x + a)^(21/2)*a + 5870865*(b*x + a)^(19/2)*a^2 - 19684665*(b*x + a)^(17/2)*a^3 + 44618574*(b*x + a)^(15/2)*a^4 - 72076158*(b*x + a)^(13/2)*a^5 + 85180914*(b*x + a)^(11/2)*a^6 - 74364290*(b*x + a)^(9/2)*a^7 + 47805615*(b*x + a)^(7/2)*a^8 - 22309287*(b*x + a)^(5/2)*a^9 + 7436429*(b*x + a)^(3/2)*a^10 - 2028117*sqrt(b*x + a)*a^11)/b^6)/b","B",0
311,1,637,0,1.054223," ","integrate(x^5*(b*x+a)^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{4199 \, {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)} a^{5}}{b^{5}} + \frac{4845 \, {\left(231 \, {\left(b x + a\right)}^{\frac{13}{2}} - 1638 \, {\left(b x + a\right)}^{\frac{11}{2}} a + 5005 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} - 8580 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} + 9009 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} - 6006 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} + 3003 \, \sqrt{b x + a} a^{6}\right)} a^{4}}{b^{5}} + \frac{4522 \, {\left(429 \, {\left(b x + a\right)}^{\frac{15}{2}} - 3465 \, {\left(b x + a\right)}^{\frac{13}{2}} a + 12285 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{2} - 25025 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{3} + 32175 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{4} - 27027 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{5} + 15015 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{6} - 6435 \, \sqrt{b x + a} a^{7}\right)} a^{3}}{b^{5}} + \frac{266 \, {\left(6435 \, {\left(b x + a\right)}^{\frac{17}{2}} - 58344 \, {\left(b x + a\right)}^{\frac{15}{2}} a + 235620 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{2} - 556920 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{3} + 850850 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{4} - 875160 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{5} + 612612 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{6} - 291720 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{7} + 109395 \, \sqrt{b x + a} a^{8}\right)} a^{2}}{b^{5}} + \frac{63 \, {\left(12155 \, {\left(b x + a\right)}^{\frac{19}{2}} - 122265 \, {\left(b x + a\right)}^{\frac{17}{2}} a + 554268 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{2} - 1492260 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{3} + 2645370 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{4} - 3233230 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{5} + 2771340 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{6} - 1662804 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{7} + 692835 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{8} - 230945 \, \sqrt{b x + a} a^{9}\right)} a}{b^{5}} + \frac{3 \, {\left(46189 \, {\left(b x + a\right)}^{\frac{21}{2}} - 510510 \, {\left(b x + a\right)}^{\frac{19}{2}} a + 2567565 \, {\left(b x + a\right)}^{\frac{17}{2}} a^{2} - 7759752 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{3} + 15668730 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{4} - 22221108 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{5} + 22632610 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{6} - 16628040 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{7} + 8729721 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{8} - 3233230 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{9} + 969969 \, \sqrt{b x + a} a^{10}\right)}}{b^{5}}\right)}}{2909907 \, b}"," ",0,"2/2909907*(4199*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)*a^5/b^5 + 4845*(231*(b*x + a)^(13/2) - 1638*(b*x + a)^(11/2)*a + 5005*(b*x + a)^(9/2)*a^2 - 8580*(b*x + a)^(7/2)*a^3 + 9009*(b*x + a)^(5/2)*a^4 - 6006*(b*x + a)^(3/2)*a^5 + 3003*sqrt(b*x + a)*a^6)*a^4/b^5 + 4522*(429*(b*x + a)^(15/2) - 3465*(b*x + a)^(13/2)*a + 12285*(b*x + a)^(11/2)*a^2 - 25025*(b*x + a)^(9/2)*a^3 + 32175*(b*x + a)^(7/2)*a^4 - 27027*(b*x + a)^(5/2)*a^5 + 15015*(b*x + a)^(3/2)*a^6 - 6435*sqrt(b*x + a)*a^7)*a^3/b^5 + 266*(6435*(b*x + a)^(17/2) - 58344*(b*x + a)^(15/2)*a + 235620*(b*x + a)^(13/2)*a^2 - 556920*(b*x + a)^(11/2)*a^3 + 850850*(b*x + a)^(9/2)*a^4 - 875160*(b*x + a)^(7/2)*a^5 + 612612*(b*x + a)^(5/2)*a^6 - 291720*(b*x + a)^(3/2)*a^7 + 109395*sqrt(b*x + a)*a^8)*a^2/b^5 + 63*(12155*(b*x + a)^(19/2) - 122265*(b*x + a)^(17/2)*a + 554268*(b*x + a)^(15/2)*a^2 - 1492260*(b*x + a)^(13/2)*a^3 + 2645370*(b*x + a)^(11/2)*a^4 - 3233230*(b*x + a)^(9/2)*a^5 + 2771340*(b*x + a)^(7/2)*a^6 - 1662804*(b*x + a)^(5/2)*a^7 + 692835*(b*x + a)^(3/2)*a^8 - 230945*sqrt(b*x + a)*a^9)*a/b^5 + 3*(46189*(b*x + a)^(21/2) - 510510*(b*x + a)^(19/2)*a + 2567565*(b*x + a)^(17/2)*a^2 - 7759752*(b*x + a)^(15/2)*a^3 + 15668730*(b*x + a)^(13/2)*a^4 - 22221108*(b*x + a)^(11/2)*a^5 + 22632610*(b*x + a)^(9/2)*a^6 - 16628040*(b*x + a)^(7/2)*a^7 + 8729721*(b*x + a)^(5/2)*a^8 - 3233230*(b*x + a)^(3/2)*a^9 + 969969*sqrt(b*x + a)*a^10)/b^5)/b","B",0
312,1,565,0,1.121546," ","integrate(x^4*(b*x+a)^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{46189 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a^{5}}{b^{4}} + \frac{104975 \, {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)} a^{4}}{b^{4}} + \frac{48450 \, {\left(231 \, {\left(b x + a\right)}^{\frac{13}{2}} - 1638 \, {\left(b x + a\right)}^{\frac{11}{2}} a + 5005 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} - 8580 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} + 9009 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} - 6006 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} + 3003 \, \sqrt{b x + a} a^{6}\right)} a^{3}}{b^{4}} + \frac{22610 \, {\left(429 \, {\left(b x + a\right)}^{\frac{15}{2}} - 3465 \, {\left(b x + a\right)}^{\frac{13}{2}} a + 12285 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{2} - 25025 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{3} + 32175 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{4} - 27027 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{5} + 15015 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{6} - 6435 \, \sqrt{b x + a} a^{7}\right)} a^{2}}{b^{4}} + \frac{665 \, {\left(6435 \, {\left(b x + a\right)}^{\frac{17}{2}} - 58344 \, {\left(b x + a\right)}^{\frac{15}{2}} a + 235620 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{2} - 556920 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{3} + 850850 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{4} - 875160 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{5} + 612612 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{6} - 291720 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{7} + 109395 \, \sqrt{b x + a} a^{8}\right)} a}{b^{4}} + \frac{63 \, {\left(12155 \, {\left(b x + a\right)}^{\frac{19}{2}} - 122265 \, {\left(b x + a\right)}^{\frac{17}{2}} a + 554268 \, {\left(b x + a\right)}^{\frac{15}{2}} a^{2} - 1492260 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{3} + 2645370 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{4} - 3233230 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{5} + 2771340 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{6} - 1662804 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{7} + 692835 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{8} - 230945 \, \sqrt{b x + a} a^{9}\right)}}{b^{4}}\right)}}{14549535 \, b}"," ",0,"2/14549535*(46189*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a^5/b^4 + 104975*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)*a^4/b^4 + 48450*(231*(b*x + a)^(13/2) - 1638*(b*x + a)^(11/2)*a + 5005*(b*x + a)^(9/2)*a^2 - 8580*(b*x + a)^(7/2)*a^3 + 9009*(b*x + a)^(5/2)*a^4 - 6006*(b*x + a)^(3/2)*a^5 + 3003*sqrt(b*x + a)*a^6)*a^3/b^4 + 22610*(429*(b*x + a)^(15/2) - 3465*(b*x + a)^(13/2)*a + 12285*(b*x + a)^(11/2)*a^2 - 25025*(b*x + a)^(9/2)*a^3 + 32175*(b*x + a)^(7/2)*a^4 - 27027*(b*x + a)^(5/2)*a^5 + 15015*(b*x + a)^(3/2)*a^6 - 6435*sqrt(b*x + a)*a^7)*a^2/b^4 + 665*(6435*(b*x + a)^(17/2) - 58344*(b*x + a)^(15/2)*a + 235620*(b*x + a)^(13/2)*a^2 - 556920*(b*x + a)^(11/2)*a^3 + 850850*(b*x + a)^(9/2)*a^4 - 875160*(b*x + a)^(7/2)*a^5 + 612612*(b*x + a)^(5/2)*a^6 - 291720*(b*x + a)^(3/2)*a^7 + 109395*sqrt(b*x + a)*a^8)*a/b^4 + 63*(12155*(b*x + a)^(19/2) - 122265*(b*x + a)^(17/2)*a + 554268*(b*x + a)^(15/2)*a^2 - 1492260*(b*x + a)^(13/2)*a^3 + 2645370*(b*x + a)^(11/2)*a^4 - 3233230*(b*x + a)^(9/2)*a^5 + 2771340*(b*x + a)^(7/2)*a^6 - 1662804*(b*x + a)^(5/2)*a^7 + 692835*(b*x + a)^(3/2)*a^8 - 230945*sqrt(b*x + a)*a^9)/b^4)/b","B",0
313,1,493,0,1.102170," ","integrate(x^3*(b*x+a)^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{21879 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a^{5}}{b^{3}} + \frac{12155 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a^{4}}{b^{3}} + \frac{11050 \, {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)} a^{3}}{b^{3}} + \frac{2550 \, {\left(231 \, {\left(b x + a\right)}^{\frac{13}{2}} - 1638 \, {\left(b x + a\right)}^{\frac{11}{2}} a + 5005 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} - 8580 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} + 9009 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} - 6006 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} + 3003 \, \sqrt{b x + a} a^{6}\right)} a^{2}}{b^{3}} + \frac{595 \, {\left(429 \, {\left(b x + a\right)}^{\frac{15}{2}} - 3465 \, {\left(b x + a\right)}^{\frac{13}{2}} a + 12285 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{2} - 25025 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{3} + 32175 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{4} - 27027 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{5} + 15015 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{6} - 6435 \, \sqrt{b x + a} a^{7}\right)} a}{b^{3}} + \frac{7 \, {\left(6435 \, {\left(b x + a\right)}^{\frac{17}{2}} - 58344 \, {\left(b x + a\right)}^{\frac{15}{2}} a + 235620 \, {\left(b x + a\right)}^{\frac{13}{2}} a^{2} - 556920 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{3} + 850850 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{4} - 875160 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{5} + 612612 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{6} - 291720 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{7} + 109395 \, \sqrt{b x + a} a^{8}\right)}}{b^{3}}\right)}}{765765 \, b}"," ",0,"2/765765*(21879*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a^5/b^3 + 12155*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a^4/b^3 + 11050*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)*a^3/b^3 + 2550*(231*(b*x + a)^(13/2) - 1638*(b*x + a)^(11/2)*a + 5005*(b*x + a)^(9/2)*a^2 - 8580*(b*x + a)^(7/2)*a^3 + 9009*(b*x + a)^(5/2)*a^4 - 6006*(b*x + a)^(3/2)*a^5 + 3003*sqrt(b*x + a)*a^6)*a^2/b^3 + 595*(429*(b*x + a)^(15/2) - 3465*(b*x + a)^(13/2)*a + 12285*(b*x + a)^(11/2)*a^2 - 25025*(b*x + a)^(9/2)*a^3 + 32175*(b*x + a)^(7/2)*a^4 - 27027*(b*x + a)^(5/2)*a^5 + 15015*(b*x + a)^(3/2)*a^6 - 6435*sqrt(b*x + a)*a^7)*a/b^3 + 7*(6435*(b*x + a)^(17/2) - 58344*(b*x + a)^(15/2)*a + 235620*(b*x + a)^(13/2)*a^2 - 556920*(b*x + a)^(11/2)*a^3 + 850850*(b*x + a)^(9/2)*a^4 - 875160*(b*x + a)^(7/2)*a^5 + 612612*(b*x + a)^(5/2)*a^6 - 291720*(b*x + a)^(3/2)*a^7 + 109395*sqrt(b*x + a)*a^8)/b^3)/b","B",0
314,1,421,0,1.057801," ","integrate(x^2*(b*x+a)^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{3003 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a^{5}}{b^{2}} + \frac{6435 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a^{4}}{b^{2}} + \frac{1430 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a^{3}}{b^{2}} + \frac{650 \, {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)} a^{2}}{b^{2}} + \frac{75 \, {\left(231 \, {\left(b x + a\right)}^{\frac{13}{2}} - 1638 \, {\left(b x + a\right)}^{\frac{11}{2}} a + 5005 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} - 8580 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} + 9009 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} - 6006 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} + 3003 \, \sqrt{b x + a} a^{6}\right)} a}{b^{2}} + \frac{7 \, {\left(429 \, {\left(b x + a\right)}^{\frac{15}{2}} - 3465 \, {\left(b x + a\right)}^{\frac{13}{2}} a + 12285 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{2} - 25025 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{3} + 32175 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{4} - 27027 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{5} + 15015 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{6} - 6435 \, \sqrt{b x + a} a^{7}\right)}}{b^{2}}\right)}}{45045 \, b}"," ",0,"2/45045*(3003*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a^5/b^2 + 6435*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a^4/b^2 + 1430*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a^3/b^2 + 650*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)*a^2/b^2 + 75*(231*(b*x + a)^(13/2) - 1638*(b*x + a)^(11/2)*a + 5005*(b*x + a)^(9/2)*a^2 - 8580*(b*x + a)^(7/2)*a^3 + 9009*(b*x + a)^(5/2)*a^4 - 6006*(b*x + a)^(3/2)*a^5 + 3003*sqrt(b*x + a)*a^6)*a/b^2 + 7*(429*(b*x + a)^(15/2) - 3465*(b*x + a)^(13/2)*a + 12285*(b*x + a)^(11/2)*a^2 - 25025*(b*x + a)^(9/2)*a^3 + 32175*(b*x + a)^(7/2)*a^4 - 27027*(b*x + a)^(5/2)*a^5 + 15015*(b*x + a)^(3/2)*a^6 - 6435*sqrt(b*x + a)*a^7)/b^2)/b","B",0
315,1,347,0,1.269037," ","integrate(x*(b*x+a)^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{3003 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a^{5}}{b} + \frac{3003 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a^{4}}{b} + \frac{2574 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a^{3}}{b} + \frac{286 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a^{2}}{b} + \frac{65 \, {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)} a}{b} + \frac{3 \, {\left(231 \, {\left(b x + a\right)}^{\frac{13}{2}} - 1638 \, {\left(b x + a\right)}^{\frac{11}{2}} a + 5005 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} - 8580 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} + 9009 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} - 6006 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} + 3003 \, \sqrt{b x + a} a^{6}\right)}}{b}\right)}}{9009 \, b}"," ",0,"2/9009*(3003*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a^5/b + 3003*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a^4/b + 2574*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a^3/b + 286*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a^2/b + 65*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)*a/b + 3*(231*(b*x + a)^(13/2) - 1638*(b*x + a)^(11/2)*a + 5005*(b*x + a)^(9/2)*a^2 - 8580*(b*x + a)^(7/2)*a^3 + 9009*(b*x + a)^(5/2)*a^4 - 6006*(b*x + a)^(3/2)*a^5 + 3003*sqrt(b*x + a)*a^6)/b)/b","B",0
316,1,229,0,0.991173," ","integrate((b*x+a)^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} + 1155 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a^{4} + 462 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a^{3} + 198 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a^{2} + 11 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a\right)}}{693 \, b}"," ",0,"2/693*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 + 1155*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a^4 + 462*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a^3 + 198*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a^2 + 11*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a)/b","B",0
317,1,80,0,1.227319," ","integrate((b*x+a)^(9/2)/x,x, algorithm=""giac"")","\frac{2 \, a^{5} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \frac{2}{9} \, {\left(b x + a\right)}^{\frac{9}{2}} + \frac{2}{7} \, {\left(b x + a\right)}^{\frac{7}{2}} a + \frac{2}{5} \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} + \frac{2}{3} \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 2 \, \sqrt{b x + a} a^{4}"," ",0,"2*a^5*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2/9*(b*x + a)^(9/2) + 2/7*(b*x + a)^(7/2)*a + 2/5*(b*x + a)^(5/2)*a^2 + 2/3*(b*x + a)^(3/2)*a^3 + 2*sqrt(b*x + a)*a^4","A",0
318,1,104,0,1.426919," ","integrate((b*x+a)^(9/2)/x^2,x, algorithm=""giac"")","\frac{\frac{315 \, a^{4} b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 10 \, {\left(b x + a\right)}^{\frac{7}{2}} b^{2} + 28 \, {\left(b x + a\right)}^{\frac{5}{2}} a b^{2} + 70 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b^{2} + 280 \, \sqrt{b x + a} a^{3} b^{2} - \frac{35 \, \sqrt{b x + a} a^{4} b}{x}}{35 \, b}"," ",0,"1/35*(315*a^4*b^2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 10*(b*x + a)^(7/2)*b^2 + 28*(b*x + a)^(5/2)*a*b^2 + 70*(b*x + a)^(3/2)*a^2*b^2 + 280*sqrt(b*x + a)*a^3*b^2 - 35*sqrt(b*x + a)*a^4*b/x)/b","A",0
319,1,112,0,1.103601," ","integrate((b*x+a)^(9/2)/x^3,x, algorithm=""giac"")","\frac{\frac{315 \, a^{3} b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 8 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{3} + 40 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{3} + 240 \, \sqrt{b x + a} a^{2} b^{3} - \frac{5 \, {\left(17 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b^{3} - 15 \, \sqrt{b x + a} a^{4} b^{3}\right)}}{b^{2} x^{2}}}{20 \, b}"," ",0,"1/20*(315*a^3*b^3*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 8*(b*x + a)^(5/2)*b^3 + 40*(b*x + a)^(3/2)*a*b^3 + 240*sqrt(b*x + a)*a^2*b^3 - 5*(17*(b*x + a)^(3/2)*a^3*b^3 - 15*sqrt(b*x + a)*a^4*b^3)/(b^2*x^2))/b","A",0
320,1,112,0,1.101389," ","integrate((b*x+a)^(9/2)/x^4,x, algorithm=""giac"")","\frac{\frac{315 \, a^{2} b^{4} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 16 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{4} + 192 \, \sqrt{b x + a} a b^{4} - \frac{165 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} b^{4} - 280 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b^{4} + 123 \, \sqrt{b x + a} a^{4} b^{4}}{b^{3} x^{3}}}{24 \, b}"," ",0,"1/24*(315*a^2*b^4*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 16*(b*x + a)^(3/2)*b^4 + 192*sqrt(b*x + a)*a*b^4 - (165*(b*x + a)^(5/2)*a^2*b^4 - 280*(b*x + a)^(3/2)*a^3*b^4 + 123*sqrt(b*x + a)*a^4*b^4)/(b^3*x^3))/b","A",0
321,1,110,0,1.215240," ","integrate((b*x+a)^(9/2)/x^5,x, algorithm=""giac"")","\frac{\frac{315 \, a b^{5} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 128 \, \sqrt{b x + a} b^{5} - \frac{325 \, {\left(b x + a\right)}^{\frac{7}{2}} a b^{5} - 765 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} b^{5} + 643 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b^{5} - 187 \, \sqrt{b x + a} a^{4} b^{5}}{b^{4} x^{4}}}{64 \, b}"," ",0,"1/64*(315*a*b^5*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 128*sqrt(b*x + a)*b^5 - (325*(b*x + a)^(7/2)*a*b^5 - 765*(b*x + a)^(5/2)*a^2*b^5 + 643*(b*x + a)^(3/2)*a^3*b^5 - 187*sqrt(b*x + a)*a^4*b^5)/(b^4*x^4))/b","A",0
322,1,109,0,1.189955," ","integrate((b*x+a)^(9/2)/x^6,x, algorithm=""giac"")","\frac{\frac{315 \, b^{6} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{965 \, {\left(b x + a\right)}^{\frac{9}{2}} b^{6} - 2370 \, {\left(b x + a\right)}^{\frac{7}{2}} a b^{6} + 2688 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} b^{6} - 1470 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b^{6} + 315 \, \sqrt{b x + a} a^{4} b^{6}}{b^{5} x^{5}}}{640 \, b}"," ",0,"1/640*(315*b^6*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) - (965*(b*x + a)^(9/2)*b^6 - 2370*(b*x + a)^(7/2)*a*b^6 + 2688*(b*x + a)^(5/2)*a^2*b^6 - 1470*(b*x + a)^(3/2)*a^3*b^6 + 315*sqrt(b*x + a)*a^4*b^6)/(b^5*x^5))/b","A",0
323,1,129,0,1.041965," ","integrate((b*x+a)^(9/2)/x^7,x, algorithm=""giac"")","-\frac{\frac{315 \, b^{7} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{315 \, {\left(b x + a\right)}^{\frac{11}{2}} b^{7} + 3335 \, {\left(b x + a\right)}^{\frac{9}{2}} a b^{7} - 5058 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} b^{7} + 4158 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} b^{7} - 1785 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} b^{7} + 315 \, \sqrt{b x + a} a^{5} b^{7}}{a b^{6} x^{6}}}{7680 \, b}"," ",0,"-1/7680*(315*b^7*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) + (315*(b*x + a)^(11/2)*b^7 + 3335*(b*x + a)^(9/2)*a*b^7 - 5058*(b*x + a)^(7/2)*a^2*b^7 + 4158*(b*x + a)^(5/2)*a^3*b^7 - 1785*(b*x + a)^(3/2)*a^4*b^7 + 315*sqrt(b*x + a)*a^5*b^7)/(a*b^6*x^6))/b","A",0
324,1,144,0,0.950907," ","integrate((b*x+a)^(9/2)/x^8,x, algorithm=""giac"")","\frac{\frac{315 \, b^{8} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{315 \, {\left(b x + a\right)}^{\frac{13}{2}} b^{8} - 2100 \, {\left(b x + a\right)}^{\frac{11}{2}} a b^{8} - 8393 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} b^{8} + 9216 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} b^{8} - 5943 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} b^{8} + 2100 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} b^{8} - 315 \, \sqrt{b x + a} a^{6} b^{8}}{a^{2} b^{7} x^{7}}}{35840 \, b}"," ",0,"1/35840*(315*b^8*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + (315*(b*x + a)^(13/2)*b^8 - 2100*(b*x + a)^(11/2)*a*b^8 - 8393*(b*x + a)^(9/2)*a^2*b^8 + 9216*(b*x + a)^(7/2)*a^3*b^8 - 5943*(b*x + a)^(5/2)*a^4*b^8 + 2100*(b*x + a)^(3/2)*a^5*b^8 - 315*sqrt(b*x + a)*a^6*b^8)/(a^2*b^7*x^7))/b","A",0
325,1,31,0,1.135697," ","integrate((b*x-a)^(1/2)/x,x, algorithm=""giac"")","-2 \, \sqrt{a} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + 2 \, \sqrt{b x - a}"," ",0,"-2*sqrt(a)*arctan(sqrt(b*x - a)/sqrt(a)) + 2*sqrt(b*x - a)","A",0
326,1,41,0,1.081110," ","integrate((b*x-a)^(1/2)/x^2,x, algorithm=""giac"")","\frac{\frac{b^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{\sqrt{a}} - \frac{\sqrt{b x - a} b}{x}}{b}"," ",0,"(b^2*arctan(sqrt(b*x - a)/sqrt(a))/sqrt(a) - sqrt(b*x - a)*b/x)/b","A",0
327,1,66,0,1.081071," ","integrate((b*x-a)^(1/2)/x^3,x, algorithm=""giac"")","\frac{\frac{b^{3} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{a^{\frac{3}{2}}} + \frac{{\left(b x - a\right)}^{\frac{3}{2}} b^{3} - \sqrt{b x - a} a b^{3}}{a b^{2} x^{2}}}{4 \, b}"," ",0,"1/4*(b^3*arctan(sqrt(b*x - a)/sqrt(a))/a^(3/2) + ((b*x - a)^(3/2)*b^3 - sqrt(b*x - a)*a*b^3)/(a*b^2*x^2))/b","A",0
328,1,43,0,1.057618," ","integrate((b*x-a)^(3/2)/x,x, algorithm=""giac"")","2 \, a^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + \frac{2}{3} \, {\left(b x - a\right)}^{\frac{3}{2}} - 2 \, \sqrt{b x - a} a"," ",0,"2*a^(3/2)*arctan(sqrt(b*x - a)/sqrt(a)) + 2/3*(b*x - a)^(3/2) - 2*sqrt(b*x - a)*a","A",0
329,1,58,0,0.959286," ","integrate((b*x-a)^(3/2)/x^2,x, algorithm=""giac"")","-\frac{3 \, \sqrt{a} b^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) - 2 \, \sqrt{b x - a} b^{2} - \frac{\sqrt{b x - a} a b}{x}}{b}"," ",0,"-(3*sqrt(a)*b^2*arctan(sqrt(b*x - a)/sqrt(a)) - 2*sqrt(b*x - a)*b^2 - sqrt(b*x - a)*a*b/x)/b","A",0
330,1,66,0,0.952394," ","integrate((b*x-a)^(3/2)/x^3,x, algorithm=""giac"")","\frac{\frac{3 \, b^{3} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{\sqrt{a}} - \frac{5 \, {\left(b x - a\right)}^{\frac{3}{2}} b^{3} + 3 \, \sqrt{b x - a} a b^{3}}{b^{2} x^{2}}}{4 \, b}"," ",0,"1/4*(3*b^3*arctan(sqrt(b*x - a)/sqrt(a))/sqrt(a) - (5*(b*x - a)^(3/2)*b^3 + 3*sqrt(b*x - a)*a*b^3)/(b^2*x^2))/b","A",0
331,1,57,0,1.218364," ","integrate((b*x-a)^(5/2)/x,x, algorithm=""giac"")","-2 \, a^{\frac{5}{2}} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + \frac{2}{5} \, {\left(b x - a\right)}^{\frac{5}{2}} - \frac{2}{3} \, {\left(b x - a\right)}^{\frac{3}{2}} a + 2 \, \sqrt{b x - a} a^{2}"," ",0,"-2*a^(5/2)*arctan(sqrt(b*x - a)/sqrt(a)) + 2/5*(b*x - a)^(5/2) - 2/3*(b*x - a)^(3/2)*a + 2*sqrt(b*x - a)*a^2","A",0
332,1,75,0,1.019700," ","integrate((b*x-a)^(5/2)/x^2,x, algorithm=""giac"")","\frac{15 \, a^{\frac{3}{2}} b^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) + 2 \, {\left(b x - a\right)}^{\frac{3}{2}} b^{2} - 12 \, \sqrt{b x - a} a b^{2} - \frac{3 \, \sqrt{b x - a} a^{2} b}{x}}{3 \, b}"," ",0,"1/3*(15*a^(3/2)*b^2*arctan(sqrt(b*x - a)/sqrt(a)) + 2*(b*x - a)^(3/2)*b^2 - 12*sqrt(b*x - a)*a*b^2 - 3*sqrt(b*x - a)*a^2*b/x)/b","A",0
333,1,83,0,1.037298," ","integrate((b*x-a)^(5/2)/x^3,x, algorithm=""giac"")","-\frac{15 \, \sqrt{a} b^{3} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right) - 8 \, \sqrt{b x - a} b^{3} - \frac{9 \, {\left(b x - a\right)}^{\frac{3}{2}} a b^{3} + 7 \, \sqrt{b x - a} a^{2} b^{3}}{b^{2} x^{2}}}{4 \, b}"," ",0,"-1/4*(15*sqrt(a)*b^3*arctan(sqrt(b*x - a)/sqrt(a)) - 8*sqrt(b*x - a)*b^3 - (9*(b*x - a)^(3/2)*a*b^3 + 7*sqrt(b*x - a)*a^2*b^3)/(b^2*x^2))/b","A",0
334,1,61,0,1.039630," ","integrate(x^4/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)}}{315 \, b^{5}}"," ",0,"2/315*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)/b^5","A",0
335,1,49,0,1.206844," ","integrate(x^3/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)}}{35 \, b^{4}}"," ",0,"2/35*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)/b^4","A",0
336,1,37,0,1.342160," ","integrate(x^2/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)}}{15 \, b^{3}}"," ",0,"2/15*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)/b^3","A",0
337,1,23,0,1.005801," ","integrate(x/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)}}{3 \, b^{2}}"," ",0,"2/3*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)/b^2","A",0
338,1,12,0,0.985079," ","integrate(1/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a}}{b}"," ",0,"2*sqrt(b*x + a)/b","A",0
339,1,21,0,1.244109," ","integrate(1/x/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}}"," ",0,"2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a)","A",0
340,1,47,0,1.069187," ","integrate(1/x^2/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{\sqrt{b x + a} b}{a x}}{b}"," ",0,"-(b^2*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) + sqrt(b*x + a)*b/(a*x))/b","A",0
341,1,69,0,1.194759," ","integrate(1/x^3/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\frac{3 \, b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{3} - 5 \, \sqrt{b x + a} a b^{3}}{a^{2} b^{2} x^{2}}}{4 \, b}"," ",0,"1/4*(3*b^3*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + (3*(b*x + a)^(3/2)*b^3 - 5*sqrt(b*x + a)*a*b^3)/(a^2*b^2*x^2))/b","A",0
342,1,84,0,0.908328," ","integrate(1/x^4/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{15 \, b^{4} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{3}} + \frac{15 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{4} - 40 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{4} + 33 \, \sqrt{b x + a} a^{2} b^{4}}{a^{3} b^{3} x^{3}}}{24 \, b}"," ",0,"-1/24*(15*b^4*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^3) + (15*(b*x + a)^(5/2)*b^4 - 40*(b*x + a)^(3/2)*a*b^4 + 33*sqrt(b*x + a)*a^2*b^4)/(a^3*b^3*x^3))/b","A",0
343,1,77,0,1.251734," ","integrate(x^4/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, a^{4}}{\sqrt{b x + a} b^{5}} + \frac{2 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} b^{30} - 28 \, {\left(b x + a\right)}^{\frac{5}{2}} a b^{30} + 70 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b^{30} - 140 \, \sqrt{b x + a} a^{3} b^{30}\right)}}{35 \, b^{35}}"," ",0,"-2*a^4/(sqrt(b*x + a)*b^5) + 2/35*(5*(b*x + a)^(7/2)*b^30 - 28*(b*x + a)^(5/2)*a*b^30 + 70*(b*x + a)^(3/2)*a^2*b^30 - 140*sqrt(b*x + a)*a^3*b^30)/b^35","A",0
344,1,61,0,1.101694," ","integrate(x^3/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, a^{3}}{\sqrt{b x + a} b^{4}} + \frac{2 \, {\left({\left(b x + a\right)}^{\frac{5}{2}} b^{16} - 5 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{16} + 15 \, \sqrt{b x + a} a^{2} b^{16}\right)}}{5 \, b^{20}}"," ",0,"2*a^3/(sqrt(b*x + a)*b^4) + 2/5*((b*x + a)^(5/2)*b^16 - 5*(b*x + a)^(3/2)*a*b^16 + 15*sqrt(b*x + a)*a^2*b^16)/b^20","A",0
345,1,46,0,1.144669," ","integrate(x^2/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, a^{2}}{\sqrt{b x + a} b^{3}} + \frac{2 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} b^{6} - 6 \, \sqrt{b x + a} a b^{6}\right)}}{3 \, b^{9}}"," ",0,"-2*a^2/(sqrt(b*x + a)*b^3) + 2/3*((b*x + a)^(3/2)*b^6 - 6*sqrt(b*x + a)*a*b^6)/b^9","A",0
346,1,29,0,0.995334," ","integrate(x/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{\sqrt{b x + a}}{b} + \frac{a}{\sqrt{b x + a} b}\right)}}{b}"," ",0,"2*(sqrt(b*x + a)/b + a/(sqrt(b*x + a)*b))/b","A",0
347,1,12,0,1.238166," ","integrate(1/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2}{\sqrt{b x + a} b}"," ",0,"-2/(sqrt(b*x + a)*b)","A",0
348,1,37,0,1.070148," ","integrate(1/x/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{2}{\sqrt{b x + a} a}"," ",0,"2*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) + 2/(sqrt(b*x + a)*a)","A",0
349,1,64,0,0.904928," ","integrate(1/x^2/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{3 \, b \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} - \frac{3 \, {\left(b x + a\right)} b - 2 \, a b}{{\left({\left(b x + a\right)}^{\frac{3}{2}} - \sqrt{b x + a} a\right)} a^{2}}"," ",0,"-3*b*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) - (3*(b*x + a)*b - 2*a*b)/(((b*x + a)^(3/2) - sqrt(b*x + a)*a)*a^2)","A",0
350,1,80,0,1.047142," ","integrate(1/x^3/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{15 \, b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{4 \, \sqrt{-a} a^{3}} + \frac{2 \, b^{2}}{\sqrt{b x + a} a^{3}} + \frac{7 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2} - 9 \, \sqrt{b x + a} a b^{2}}{4 \, a^{3} b^{2} x^{2}}"," ",0,"15/4*b^2*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^3) + 2*b^2/(sqrt(b*x + a)*a^3) + 1/4*(7*(b*x + a)^(3/2)*b^2 - 9*sqrt(b*x + a)*a*b^2)/(a^3*b^2*x^2)","A",0
351,1,75,0,1.080940," ","integrate(x^4/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(12 \, {\left(b x + a\right)} a^{3} - a^{4}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{5}} + \frac{2 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{20} - 20 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{20} + 90 \, \sqrt{b x + a} a^{2} b^{20}\right)}}{15 \, b^{25}}"," ",0,"2/3*(12*(b*x + a)*a^3 - a^4)/((b*x + a)^(3/2)*b^5) + 2/15*(3*(b*x + a)^(5/2)*b^20 - 20*(b*x + a)^(3/2)*a*b^20 + 90*sqrt(b*x + a)*a^2*b^20)/b^25","A",0
352,1,59,0,1.031989," ","integrate(x^3/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(9 \, {\left(b x + a\right)} a^{2} - a^{3}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{4}} + \frac{2 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} b^{8} - 9 \, \sqrt{b x + a} a b^{8}\right)}}{3 \, b^{12}}"," ",0,"-2/3*(9*(b*x + a)*a^2 - a^3)/((b*x + a)^(3/2)*b^4) + 2/3*((b*x + a)^(3/2)*b^8 - 9*sqrt(b*x + a)*a*b^8)/b^12","A",0
353,1,39,0,0.940338," ","integrate(x^2/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a}}{b^{3}} + \frac{2 \, {\left(6 \, {\left(b x + a\right)} a - a^{2}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{3}}"," ",0,"2*sqrt(b*x + a)/b^3 + 2/3*(6*(b*x + a)*a - a^2)/((b*x + a)^(3/2)*b^3)","A",0
354,1,20,0,1.055049," ","integrate(x/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, b x + 2 \, a\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2}}"," ",0,"-2/3*(3*b*x + 2*a)/((b*x + a)^(3/2)*b^2)","A",0
355,1,12,0,1.037830," ","integrate(1/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{2}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b}"," ",0,"-2/3/((b*x + a)^(3/2)*b)","A",0
356,1,45,0,1.002660," ","integrate(1/x/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{2 \, {\left(3 \, b x + 4 \, a\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2}}"," ",0,"2*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + 2/3*(3*b*x + 4*a)/((b*x + a)^(3/2)*a^2)","A",0
357,1,65,0,1.026980," ","integrate(1/x^2/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{5 \, b \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{3}} - \frac{2 \, {\left(6 \, {\left(b x + a\right)} b + a b\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3}} - \frac{\sqrt{b x + a}}{a^{3} x}"," ",0,"-5*b*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^3) - 2/3*(6*(b*x + a)*b + a*b)/((b*x + a)^(3/2)*a^3) - sqrt(b*x + a)/(a^3*x)","A",0
358,1,93,0,0.994227," ","integrate(1/x^3/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{35 \, b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{4 \, \sqrt{-a} a^{4}} + \frac{2 \, {\left(9 \, {\left(b x + a\right)} b^{2} + a b^{2}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4}} + \frac{11 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2} - 13 \, \sqrt{b x + a} a b^{2}}{4 \, a^{4} b^{2} x^{2}}"," ",0,"35/4*b^2*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^4) + 2/3*(9*(b*x + a)*b^2 + a*b^2)/((b*x + a)^(3/2)*a^4) + 1/4*(11*(b*x + a)^(3/2)*b^2 - 13*sqrt(b*x + a)*a*b^2)/(a^4*b^2*x^2)","A",0
359,1,19,0,0.986378," ","integrate(1/x/(b*x-a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{\sqrt{a}}"," ",0,"2*arctan(sqrt(b*x - a)/sqrt(a))/sqrt(a)","A",0
360,1,43,0,0.885779," ","integrate(1/x^2/(b*x-a)^(1/2),x, algorithm=""giac"")","\frac{\frac{b^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{a^{\frac{3}{2}}} + \frac{\sqrt{b x - a} b}{a x}}{b}"," ",0,"(b^2*arctan(sqrt(b*x - a)/sqrt(a))/a^(3/2) + sqrt(b*x - a)*b/(a*x))/b","A",0
361,1,68,0,0.965474," ","integrate(1/x^3/(b*x-a)^(1/2),x, algorithm=""giac"")","\frac{\frac{3 \, b^{3} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{a^{\frac{5}{2}}} + \frac{3 \, {\left(b x - a\right)}^{\frac{3}{2}} b^{3} + 5 \, \sqrt{b x - a} a b^{3}}{a^{2} b^{2} x^{2}}}{4 \, b}"," ",0,"1/4*(3*b^3*arctan(sqrt(b*x - a)/sqrt(a))/a^(5/2) + (3*(b*x - a)^(3/2)*b^3 + 5*sqrt(b*x - a)*a*b^3)/(a^2*b^2*x^2))/b","A",0
362,1,34,0,1.015519," ","integrate(1/x/(b*x-a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{a^{\frac{3}{2}}} - \frac{2}{\sqrt{b x - a} a}"," ",0,"-2*arctan(sqrt(b*x - a)/sqrt(a))/a^(3/2) - 2/(sqrt(b*x - a)*a)","A",0
363,1,64,0,1.012862," ","integrate(1/x^2/(b*x-a)^(3/2),x, algorithm=""giac"")","-\frac{3 \, b \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{a^{\frac{5}{2}}} - \frac{3 \, {\left(b x - a\right)} b + 2 \, a b}{{\left({\left(b x - a\right)}^{\frac{3}{2}} + \sqrt{b x - a} a\right)} a^{2}}"," ",0,"-3*b*arctan(sqrt(b*x - a)/sqrt(a))/a^(5/2) - (3*(b*x - a)*b + 2*a*b)/(((b*x - a)^(3/2) + sqrt(b*x - a)*a)*a^2)","A",0
364,1,81,0,1.005730," ","integrate(1/x^3/(b*x-a)^(3/2),x, algorithm=""giac"")","-\frac{15 \, b^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{4 \, a^{\frac{7}{2}}} - \frac{2 \, b^{2}}{\sqrt{b x - a} a^{3}} - \frac{7 \, {\left(b x - a\right)}^{\frac{3}{2}} b^{2} + 9 \, \sqrt{b x - a} a b^{2}}{4 \, a^{3} b^{2} x^{2}}"," ",0,"-15/4*b^2*arctan(sqrt(b*x - a)/sqrt(a))/a^(7/2) - 2*b^2/(sqrt(b*x - a)*a^3) - 1/4*(7*(b*x - a)^(3/2)*b^2 + 9*sqrt(b*x - a)*a*b^2)/(a^3*b^2*x^2)","A",0
365,1,42,0,1.056672," ","integrate(1/x/(b*x-a)^(5/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{a^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, b x - 4 \, a\right)}}{3 \, {\left(b x - a\right)}^{\frac{3}{2}} a^{2}}"," ",0,"2*arctan(sqrt(b*x - a)/sqrt(a))/a^(5/2) + 2/3*(3*b*x - 4*a)/((b*x - a)^(3/2)*a^2)","A",0
366,1,66,0,1.004246," ","integrate(1/x^2/(b*x-a)^(5/2),x, algorithm=""giac"")","\frac{5 \, b \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{a^{\frac{7}{2}}} + \frac{2 \, {\left(6 \, {\left(b x - a\right)} b - a b\right)}}{3 \, {\left(b x - a\right)}^{\frac{3}{2}} a^{3}} + \frac{\sqrt{b x - a}}{a^{3} x}"," ",0,"5*b*arctan(sqrt(b*x - a)/sqrt(a))/a^(7/2) + 2/3*(6*(b*x - a)*b - a*b)/((b*x - a)^(3/2)*a^3) + sqrt(b*x - a)/(a^3*x)","A",0
367,1,97,0,0.901989," ","integrate(1/x^3/(b*x-a)^(5/2),x, algorithm=""giac"")","\frac{35 \, b^{2} \arctan\left(\frac{\sqrt{b x - a}}{\sqrt{a}}\right)}{4 \, a^{\frac{9}{2}}} + \frac{2 \, {\left(9 \, {\left(b x - a\right)} b^{2} - a b^{2}\right)}}{3 \, {\left(b x - a\right)}^{\frac{3}{2}} a^{4}} + \frac{11 \, {\left(b x - a\right)}^{\frac{3}{2}} b^{2} + 13 \, \sqrt{b x - a} a b^{2}}{4 \, a^{4} b^{2} x^{2}}"," ",0,"35/4*b^2*arctan(sqrt(b*x - a)/sqrt(a))/a^(9/2) + 2/3*(9*(b*x - a)*b^2 - a*b^2)/((b*x - a)^(3/2)*a^4) + 1/4*(11*(b*x - a)^(3/2)*b^2 + 13*sqrt(b*x - a)*a*b^2)/(a^4*b^2*x^2)","A",0
368,0,0,0,0.000000," ","integrate(1/2*x^(-1+m)*(2*a*m+b*(-1+2*m)*x)/(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b {\left(2 \, m - 1\right)} x + 2 \, a m\right)} x^{m - 1}}{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/2*(b*(2*m - 1)*x + 2*a*m)*x^(m - 1)/(b*x + a)^(3/2), x)","F",0
369,0,0,0,0.000000," ","integrate(-1/2*b*x^m/(b*x+a)^(3/2)+m*x^(-1+m)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{m x^{m - 1}}{\sqrt{b x + a}} - \frac{b x^{m}}{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(m*x^(m - 1)/sqrt(b*x + a) - 1/2*b*x^m/(b*x + a)^(3/2), x)","F",0
370,1,21,0,0.846654," ","integrate(1/x/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}}"," ",0,"2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a)","A",0
371,1,117,0,0.867479," ","integrate(x^3*(b*x+a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{13 \, {\left(14 \, {\left(b x + a\right)}^{\frac{10}{3}} - 60 \, {\left(b x + a\right)}^{\frac{7}{3}} a + 105 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{2} - 140 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{3}\right)} a}{b^{3}} + \frac{4 \, {\left(35 \, {\left(b x + a\right)}^{\frac{13}{3}} - 182 \, {\left(b x + a\right)}^{\frac{10}{3}} a + 390 \, {\left(b x + a\right)}^{\frac{7}{3}} a^{2} - 455 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{3} + 455 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{4}\right)}}{b^{3}}\right)}}{1820 \, b}"," ",0,"3/1820*(13*(14*(b*x + a)^(10/3) - 60*(b*x + a)^(7/3)*a + 105*(b*x + a)^(4/3)*a^2 - 140*(b*x + a)^(1/3)*a^3)*a/b^3 + 4*(35*(b*x + a)^(13/3) - 182*(b*x + a)^(10/3)*a + 390*(b*x + a)^(7/3)*a^2 - 455*(b*x + a)^(4/3)*a^3 + 455*(b*x + a)^(1/3)*a^4)/b^3)/b","B",0
372,1,92,0,0.834236," ","integrate(x^2*(b*x+a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{10 \, {\left(2 \, {\left(b x + a\right)}^{\frac{7}{3}} - 7 \, {\left(b x + a\right)}^{\frac{4}{3}} a + 14 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{2}\right)} a}{b^{2}} + \frac{14 \, {\left(b x + a\right)}^{\frac{10}{3}} - 60 \, {\left(b x + a\right)}^{\frac{7}{3}} a + 105 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{2} - 140 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{3}}{b^{2}}\right)}}{140 \, b}"," ",0,"3/140*(10*(2*(b*x + a)^(7/3) - 7*(b*x + a)^(4/3)*a + 14*(b*x + a)^(1/3)*a^2)*a/b^2 + (14*(b*x + a)^(10/3) - 60*(b*x + a)^(7/3)*a + 105*(b*x + a)^(4/3)*a^2 - 140*(b*x + a)^(1/3)*a^3)/b^2)/b","B",0
373,1,67,0,1.037514," ","integrate(x*(b*x+a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{7 \, {\left({\left(b x + a\right)}^{\frac{4}{3}} - 4 \, {\left(b x + a\right)}^{\frac{1}{3}} a\right)} a}{b} + \frac{2 \, {\left(2 \, {\left(b x + a\right)}^{\frac{7}{3}} - 7 \, {\left(b x + a\right)}^{\frac{4}{3}} a + 14 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{2}\right)}}{b}\right)}}{28 \, b}"," ",0,"3/28*(7*((b*x + a)^(4/3) - 4*(b*x + a)^(1/3)*a)*a/b + 2*(2*(b*x + a)^(7/3) - 7*(b*x + a)^(4/3)*a + 14*(b*x + a)^(1/3)*a^2)/b)/b","B",0
374,1,12,0,0.891920," ","integrate((b*x+a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(b x + a\right)}^{\frac{4}{3}}}{4 \, b}"," ",0,"3/4*(b*x + a)^(4/3)/b","A",0
375,1,87,0,2.373971," ","integrate((b*x+a)^(1/3)/x,x, algorithm=""giac"")","-\sqrt{3} a^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right) - \frac{1}{2} \, a^{\frac{1}{3}} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + a^{\frac{1}{3}} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right) + 3 \, {\left(b x + a\right)}^{\frac{1}{3}}"," ",0,"-sqrt(3)*a^(1/3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3)) - 1/2*a^(1/3)*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + a^(1/3)*log(abs((b*x + a)^(1/3) - a^(1/3))) + 3*(b*x + a)^(1/3)","A",0
376,1,105,0,2.554749," ","integrate((b*x+a)^(1/3)/x^2,x, algorithm=""giac"")","-\frac{\frac{2 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{2}{3}}} + \frac{b^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{a^{\frac{2}{3}}} - \frac{2 \, b^{2} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{2}{3}}} + \frac{6 \, {\left(b x + a\right)}^{\frac{1}{3}} b}{x}}{6 \, b}"," ",0,"-1/6*(2*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) + b^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) - 2*b^2*log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(2/3) + 6*(b*x + a)^(1/3)*b/x)/b","A",0
377,1,128,0,2.425527," ","integrate((b*x+a)^(1/3)/x^3,x, algorithm=""giac"")","\frac{\frac{2 \, \sqrt{3} b^{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{5}{3}}} + \frac{b^{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{5}{3}}} - \frac{2 \, b^{3} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{5}{3}}} - \frac{3 \, {\left({\left(b x + a\right)}^{\frac{4}{3}} b^{3} + 2 \, {\left(b x + a\right)}^{\frac{1}{3}} a b^{3}\right)}}{a b^{2} x^{2}}}{18 \, b}"," ",0,"1/18*(2*sqrt(3)*b^3*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(5/3) + b^3*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(5/3) - 2*b^3*log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(5/3) - 3*((b*x + a)^(4/3)*b^3 + 2*(b*x + a)^(1/3)*a*b^3)/(a*b^2*x^2))/b","A",0
378,1,117,0,1.124995," ","integrate(x^3*(b*x+a)^(2/3),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{7 \, {\left(40 \, {\left(b x + a\right)}^{\frac{11}{3}} - 165 \, {\left(b x + a\right)}^{\frac{8}{3}} a + 264 \, {\left(b x + a\right)}^{\frac{5}{3}} a^{2} - 220 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{3}\right)} a}{b^{3}} + \frac{2 \, {\left(110 \, {\left(b x + a\right)}^{\frac{14}{3}} - 560 \, {\left(b x + a\right)}^{\frac{11}{3}} a + 1155 \, {\left(b x + a\right)}^{\frac{8}{3}} a^{2} - 1232 \, {\left(b x + a\right)}^{\frac{5}{3}} a^{3} + 770 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{4}\right)}}{b^{3}}\right)}}{3080 \, b}"," ",0,"3/3080*(7*(40*(b*x + a)^(11/3) - 165*(b*x + a)^(8/3)*a + 264*(b*x + a)^(5/3)*a^2 - 220*(b*x + a)^(2/3)*a^3)*a/b^3 + 2*(110*(b*x + a)^(14/3) - 560*(b*x + a)^(11/3)*a + 1155*(b*x + a)^(8/3)*a^2 - 1232*(b*x + a)^(5/3)*a^3 + 770*(b*x + a)^(2/3)*a^4)/b^3)/b","B",0
379,1,92,0,0.825403," ","integrate(x^2*(b*x+a)^(2/3),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{11 \, {\left(5 \, {\left(b x + a\right)}^{\frac{8}{3}} - 16 \, {\left(b x + a\right)}^{\frac{5}{3}} a + 20 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{2}\right)} a}{b^{2}} + \frac{40 \, {\left(b x + a\right)}^{\frac{11}{3}} - 165 \, {\left(b x + a\right)}^{\frac{8}{3}} a + 264 \, {\left(b x + a\right)}^{\frac{5}{3}} a^{2} - 220 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{3}}{b^{2}}\right)}}{440 \, b}"," ",0,"3/440*(11*(5*(b*x + a)^(8/3) - 16*(b*x + a)^(5/3)*a + 20*(b*x + a)^(2/3)*a^2)*a/b^2 + (40*(b*x + a)^(11/3) - 165*(b*x + a)^(8/3)*a + 264*(b*x + a)^(5/3)*a^2 - 220*(b*x + a)^(2/3)*a^3)/b^2)/b","B",0
380,1,68,0,0.891520," ","integrate(x*(b*x+a)^(2/3),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{4 \, {\left(2 \, {\left(b x + a\right)}^{\frac{5}{3}} - 5 \, {\left(b x + a\right)}^{\frac{2}{3}} a\right)} a}{b} + \frac{5 \, {\left(b x + a\right)}^{\frac{8}{3}} - 16 \, {\left(b x + a\right)}^{\frac{5}{3}} a + 20 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{2}}{b}\right)}}{40 \, b}"," ",0,"3/40*(4*(2*(b*x + a)^(5/3) - 5*(b*x + a)^(2/3)*a)*a/b + (5*(b*x + a)^(8/3) - 16*(b*x + a)^(5/3)*a + 20*(b*x + a)^(2/3)*a^2)/b)/b","B",0
381,1,12,0,1.143725," ","integrate((b*x+a)^(2/3),x, algorithm=""giac"")","\frac{3 \, {\left(b x + a\right)}^{\frac{5}{3}}}{5 \, b}"," ",0,"3/5*(b*x + a)^(5/3)/b","A",0
382,1,86,0,2.200193," ","integrate((b*x+a)^(2/3)/x,x, algorithm=""giac"")","\sqrt{3} a^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right) - \frac{1}{2} \, a^{\frac{2}{3}} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + a^{\frac{2}{3}} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right) + \frac{3}{2} \, {\left(b x + a\right)}^{\frac{2}{3}}"," ",0,"sqrt(3)*a^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3)) - 1/2*a^(2/3)*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + a^(2/3)*log(abs((b*x + a)^(1/3) - a^(1/3))) + 3/2*(b*x + a)^(2/3)","A",0
383,1,106,0,2.291551," ","integrate((b*x+a)^(2/3)/x^2,x, algorithm=""giac"")","\frac{\frac{2 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{1}{3}}} - \frac{b^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{a^{\frac{1}{3}}} + \frac{2 \, b^{2} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{1}{3}}} - \frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}} b}{x}}{3 \, b}"," ",0,"1/3*(2*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - b^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(1/3) + 2*b^2*log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(1/3) - 3*(b*x + a)^(2/3)*b/x)/b","A",0
384,1,129,0,2.469987," ","integrate((b*x+a)^(2/3)/x^3,x, algorithm=""giac"")","-\frac{\frac{2 \, \sqrt{3} b^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{4}{3}}} - \frac{b^{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}}} + \frac{2 \, b^{3} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{4}{3}}} + \frac{3 \, {\left(2 \, {\left(b x + a\right)}^{\frac{5}{3}} b^{3} + {\left(b x + a\right)}^{\frac{2}{3}} a b^{3}\right)}}{a b^{2} x^{2}}}{18 \, b}"," ",0,"-1/18*(2*sqrt(3)*b^3*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(4/3) - b^3*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) + 2*b^3*log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(4/3) + 3*(2*(b*x + a)^(5/3)*b^3 + (b*x + a)^(2/3)*a*b^3)/(a*b^2*x^2))/b","A",0
385,1,193,0,1.222919," ","integrate(x^3*(b*x+a)^(4/3),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{52 \, {\left(14 \, {\left(b x + a\right)}^{\frac{10}{3}} - 60 \, {\left(b x + a\right)}^{\frac{7}{3}} a + 105 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{2} - 140 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{3}\right)} a^{2}}{b^{3}} + \frac{32 \, {\left(35 \, {\left(b x + a\right)}^{\frac{13}{3}} - 182 \, {\left(b x + a\right)}^{\frac{10}{3}} a + 390 \, {\left(b x + a\right)}^{\frac{7}{3}} a^{2} - 455 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{3} + 455 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{4}\right)} a}{b^{3}} + \frac{5 \, {\left(91 \, {\left(b x + a\right)}^{\frac{16}{3}} - 560 \, {\left(b x + a\right)}^{\frac{13}{3}} a + 1456 \, {\left(b x + a\right)}^{\frac{10}{3}} a^{2} - 2080 \, {\left(b x + a\right)}^{\frac{7}{3}} a^{3} + 1820 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{4} - 1456 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{5}\right)}}{b^{3}}\right)}}{7280 \, b}"," ",0,"3/7280*(52*(14*(b*x + a)^(10/3) - 60*(b*x + a)^(7/3)*a + 105*(b*x + a)^(4/3)*a^2 - 140*(b*x + a)^(1/3)*a^3)*a^2/b^3 + 32*(35*(b*x + a)^(13/3) - 182*(b*x + a)^(10/3)*a + 390*(b*x + a)^(7/3)*a^2 - 455*(b*x + a)^(4/3)*a^3 + 455*(b*x + a)^(1/3)*a^4)*a/b^3 + 5*(91*(b*x + a)^(16/3) - 560*(b*x + a)^(13/3)*a + 1456*(b*x + a)^(10/3)*a^2 - 2080*(b*x + a)^(7/3)*a^3 + 1820*(b*x + a)^(4/3)*a^4 - 1456*(b*x + a)^(1/3)*a^5)/b^3)/b","B",0
386,1,157,0,0.984241," ","integrate(x^2*(b*x+a)^(4/3),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{65 \, {\left(2 \, {\left(b x + a\right)}^{\frac{7}{3}} - 7 \, {\left(b x + a\right)}^{\frac{4}{3}} a + 14 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{2}\right)} a^{2}}{b^{2}} + \frac{13 \, {\left(14 \, {\left(b x + a\right)}^{\frac{10}{3}} - 60 \, {\left(b x + a\right)}^{\frac{7}{3}} a + 105 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{2} - 140 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{3}\right)} a}{b^{2}} + \frac{2 \, {\left(35 \, {\left(b x + a\right)}^{\frac{13}{3}} - 182 \, {\left(b x + a\right)}^{\frac{10}{3}} a + 390 \, {\left(b x + a\right)}^{\frac{7}{3}} a^{2} - 455 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{3} + 455 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{4}\right)}}{b^{2}}\right)}}{910 \, b}"," ",0,"3/910*(65*(2*(b*x + a)^(7/3) - 7*(b*x + a)^(4/3)*a + 14*(b*x + a)^(1/3)*a^2)*a^2/b^2 + 13*(14*(b*x + a)^(10/3) - 60*(b*x + a)^(7/3)*a + 105*(b*x + a)^(4/3)*a^2 - 140*(b*x + a)^(1/3)*a^3)*a/b^2 + 2*(35*(b*x + a)^(13/3) - 182*(b*x + a)^(10/3)*a + 390*(b*x + a)^(7/3)*a^2 - 455*(b*x + a)^(4/3)*a^3 + 455*(b*x + a)^(1/3)*a^4)/b^2)/b","B",0
387,1,118,0,1.018470," ","integrate(x*(b*x+a)^(4/3),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{35 \, {\left({\left(b x + a\right)}^{\frac{4}{3}} - 4 \, {\left(b x + a\right)}^{\frac{1}{3}} a\right)} a^{2}}{b} + \frac{20 \, {\left(2 \, {\left(b x + a\right)}^{\frac{7}{3}} - 7 \, {\left(b x + a\right)}^{\frac{4}{3}} a + 14 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{2}\right)} a}{b} + \frac{14 \, {\left(b x + a\right)}^{\frac{10}{3}} - 60 \, {\left(b x + a\right)}^{\frac{7}{3}} a + 105 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{2} - 140 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{3}}{b}\right)}}{140 \, b}"," ",0,"3/140*(35*((b*x + a)^(4/3) - 4*(b*x + a)^(1/3)*a)*a^2/b + 20*(2*(b*x + a)^(7/3) - 7*(b*x + a)^(4/3)*a + 14*(b*x + a)^(1/3)*a^2)*a/b + (14*(b*x + a)^(10/3) - 60*(b*x + a)^(7/3)*a + 105*(b*x + a)^(4/3)*a^2 - 140*(b*x + a)^(1/3)*a^3)/b)/b","B",0
388,1,58,0,1.248637," ","integrate((b*x+a)^(4/3),x, algorithm=""giac"")","\frac{3 \, {\left(2 \, {\left(b x + a\right)}^{\frac{7}{3}} - 7 \, {\left(b x + a\right)}^{\frac{4}{3}} a + 28 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{2} + 7 \, {\left({\left(b x + a\right)}^{\frac{4}{3}} - 4 \, {\left(b x + a\right)}^{\frac{1}{3}} a\right)} a\right)}}{14 \, b}"," ",0,"3/14*(2*(b*x + a)^(7/3) - 7*(b*x + a)^(4/3)*a + 28*(b*x + a)^(1/3)*a^2 + 7*((b*x + a)^(4/3) - 4*(b*x + a)^(1/3)*a)*a)/b","B",0
389,1,97,0,2.024865," ","integrate((b*x+a)^(4/3)/x,x, algorithm=""giac"")","-\sqrt{3} a^{\frac{4}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right) - \frac{1}{2} \, a^{\frac{4}{3}} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + a^{\frac{4}{3}} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right) + \frac{3}{4} \, {\left(b x + a\right)}^{\frac{4}{3}} + 3 \, {\left(b x + a\right)}^{\frac{1}{3}} a"," ",0,"-sqrt(3)*a^(4/3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3)) - 1/2*a^(4/3)*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) + a^(4/3)*log(abs((b*x + a)^(1/3) - a^(1/3))) + 3/4*(b*x + a)^(4/3) + 3*(b*x + a)^(1/3)*a","A",0
390,1,119,0,2.347512," ","integrate((b*x+a)^(4/3)/x^2,x, algorithm=""giac"")","-\frac{4 \, \sqrt{3} a^{\frac{1}{3}} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right) + 2 \, a^{\frac{1}{3}} b^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) - 4 \, a^{\frac{1}{3}} b^{2} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right) - 9 \, {\left(b x + a\right)}^{\frac{1}{3}} b^{2} + \frac{3 \, {\left(b x + a\right)}^{\frac{1}{3}} a b}{x}}{3 \, b}"," ",0,"-1/3*(4*sqrt(3)*a^(1/3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3)) + 2*a^(1/3)*b^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3)) - 4*a^(1/3)*b^2*log(abs((b*x + a)^(1/3) - a^(1/3))) - 9*(b*x + a)^(1/3)*b^2 + 3*(b*x + a)^(1/3)*a*b/x)/b","A",0
391,1,127,0,1.940466," ","integrate((b*x+a)^(4/3)/x^3,x, algorithm=""giac"")","-\frac{\frac{4 \, \sqrt{3} b^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{2}{3}}} + \frac{2 \, b^{3} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{a^{\frac{2}{3}}} - \frac{4 \, b^{3} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{2}{3}}} + \frac{3 \, {\left(7 \, {\left(b x + a\right)}^{\frac{4}{3}} b^{3} - 4 \, {\left(b x + a\right)}^{\frac{1}{3}} a b^{3}\right)}}{b^{2} x^{2}}}{18 \, b}"," ",0,"-1/18*(4*sqrt(3)*b^3*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) + 2*b^3*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) - 4*b^3*log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(2/3) + 3*(7*(b*x + a)^(4/3)*b^3 - 4*(b*x + a)^(1/3)*a*b^3)/(b^2*x^2))/b","A",0
392,1,49,0,0.903321," ","integrate(x^3/(b*x+a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(40 \, {\left(b x + a\right)}^{\frac{11}{3}} - 165 \, {\left(b x + a\right)}^{\frac{8}{3}} a + 264 \, {\left(b x + a\right)}^{\frac{5}{3}} a^{2} - 220 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{3}\right)}}{440 \, b^{4}}"," ",0,"3/440*(40*(b*x + a)^(11/3) - 165*(b*x + a)^(8/3)*a + 264*(b*x + a)^(5/3)*a^2 - 220*(b*x + a)^(2/3)*a^3)/b^4","A",0
393,1,37,0,0.907514," ","integrate(x^2/(b*x+a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(5 \, {\left(b x + a\right)}^{\frac{8}{3}} - 16 \, {\left(b x + a\right)}^{\frac{5}{3}} a + 20 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{2}\right)}}{40 \, b^{3}}"," ",0,"3/40*(5*(b*x + a)^(8/3) - 16*(b*x + a)^(5/3)*a + 20*(b*x + a)^(2/3)*a^2)/b^3","A",0
394,1,25,0,0.900367," ","integrate(x/(b*x+a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(2 \, {\left(b x + a\right)}^{\frac{5}{3}} - 5 \, {\left(b x + a\right)}^{\frac{2}{3}} a\right)}}{10 \, b^{2}}"," ",0,"3/10*(2*(b*x + a)^(5/3) - 5*(b*x + a)^(2/3)*a)/b^2","A",0
395,1,12,0,0.973102," ","integrate(1/(b*x+a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(b x + a\right)}^{\frac{2}{3}}}{2 \, b}"," ",0,"3/2*(b*x + a)^(2/3)/b","A",0
396,1,77,0,2.371325," ","integrate(1/x/(b*x+a)^(1/3),x, algorithm=""giac"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{1}{3}}} - \frac{\log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{2 \, a^{\frac{1}{3}}} + \frac{\log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{1}{3}}}"," ",0,"sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - 1/2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(1/3) + log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(1/3)","A",0
397,1,109,0,2.445161," ","integrate(1/x^2/(b*x+a)^(1/3),x, algorithm=""giac"")","-\frac{\frac{2 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{4}{3}}} - \frac{b^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{a^{\frac{4}{3}}} + \frac{2 \, b^{2} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{4}{3}}} + \frac{6 \, {\left(b x + a\right)}^{\frac{2}{3}} b}{a x}}{6 \, b}"," ",0,"-1/6*(2*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(4/3) - b^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) + 2*b^2*log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(4/3) + 6*(b*x + a)^(2/3)*b/(a*x))/b","A",0
398,1,130,0,2.235584," ","integrate(1/x^3/(b*x+a)^(1/3),x, algorithm=""giac"")","\frac{\frac{4 \, \sqrt{3} b^{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{7}{3}}} - \frac{2 \, b^{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{7}{3}}} + \frac{4 \, b^{3} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{7}{3}}} + \frac{3 \, {\left(4 \, {\left(b x + a\right)}^{\frac{5}{3}} b^{3} - 7 \, {\left(b x + a\right)}^{\frac{2}{3}} a b^{3}\right)}}{a^{2} b^{2} x^{2}}}{18 \, b}"," ",0,"1/18*(4*sqrt(3)*b^3*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(7/3) - 2*b^3*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(7/3) + 4*b^3*log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(7/3) + 3*(4*(b*x + a)^(5/3)*b^3 - 7*(b*x + a)^(2/3)*a*b^3)/(a^2*b^2*x^2))/b","A",0
399,1,57,0,1.069092," ","integrate(x^3/(b*x-a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(40 \, {\left(b x - a\right)}^{\frac{11}{3}} + 165 \, {\left(b x - a\right)}^{\frac{8}{3}} a + 264 \, {\left(b x - a\right)}^{\frac{5}{3}} a^{2} + 220 \, {\left(b x - a\right)}^{\frac{2}{3}} a^{3}\right)}}{440 \, b^{4}}"," ",0,"3/440*(40*(b*x - a)^(11/3) + 165*(b*x - a)^(8/3)*a + 264*(b*x - a)^(5/3)*a^2 + 220*(b*x - a)^(2/3)*a^3)/b^4","A",0
400,1,43,0,1.071274," ","integrate(x^2/(b*x-a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(5 \, {\left(b x - a\right)}^{\frac{8}{3}} + 16 \, {\left(b x - a\right)}^{\frac{5}{3}} a + 20 \, {\left(b x - a\right)}^{\frac{2}{3}} a^{2}\right)}}{40 \, b^{3}}"," ",0,"3/40*(5*(b*x - a)^(8/3) + 16*(b*x - a)^(5/3)*a + 20*(b*x - a)^(2/3)*a^2)/b^3","A",0
401,1,29,0,0.979141," ","integrate(x/(b*x-a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(2 \, {\left(b x - a\right)}^{\frac{5}{3}} + 5 \, {\left(b x - a\right)}^{\frac{2}{3}} a\right)}}{10 \, b^{2}}"," ",0,"3/10*(2*(b*x - a)^(5/3) + 5*(b*x - a)^(2/3)*a)/b^2","A",0
402,1,14,0,1.016774," ","integrate(1/(b*x-a)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(b x - a\right)}^{\frac{2}{3}}}{2 \, b}"," ",0,"3/2*(b*x - a)^(2/3)/b","A",0
403,1,112,0,2.508950," ","integrate(1/x/(b*x-a)^(1/3),x, algorithm=""giac"")","-\frac{\sqrt{3} \left(-a\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x - a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right)}}{3 \, \left(-a\right)^{\frac{1}{3}}}\right)}{a} + \frac{\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 \, a} - \frac{\left(-a\right)^{\frac{2}{3}} \log\left({\left| {\left(b x - a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}} \right|}\right)}{a}"," ",0,"-sqrt(3)*(-a)^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x - a)^(1/3) + (-a)^(1/3))/(-a)^(1/3))/a + 1/2*(-a)^(2/3)*log((b*x - a)^(2/3) + (b*x - a)^(1/3)*(-a)^(1/3) + (-a)^(2/3))/a - (-a)^(2/3)*log(abs((b*x - a)^(1/3) - (-a)^(1/3)))/a","A",0
404,1,144,0,2.429195," ","integrate(1/x^2/(b*x-a)^(1/3),x, algorithm=""giac"")","\frac{\frac{2 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x - a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right)}}{3 \, \left(-a\right)^{\frac{1}{3}}}\right)}{\left(-a\right)^{\frac{1}{3}} a} - \frac{b^{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)}{\left(-a\right)^{\frac{1}{3}} a} - \frac{2 \, \left(-a\right)^{\frac{2}{3}} b^{2} \log\left({\left| {\left(b x - a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}} \right|}\right)}{a^{2}} + \frac{6 \, {\left(b x - a\right)}^{\frac{2}{3}} b}{a x}}{6 \, b}"," ",0,"1/6*(2*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x - a)^(1/3) + (-a)^(1/3))/(-a)^(1/3))/((-a)^(1/3)*a) - b^2*log((b*x - a)^(2/3) + (b*x - a)^(1/3)*(-a)^(1/3) + (-a)^(2/3))/((-a)^(1/3)*a) - 2*(-a)^(2/3)*b^2*log(abs((b*x - a)^(1/3) - (-a)^(1/3)))/a^2 + 6*(b*x - a)^(2/3)*b/(a*x))/b","A",0
405,1,167,0,2.241525," ","integrate(1/x^3/(b*x-a)^(1/3),x, algorithm=""giac"")","\frac{\frac{4 \, \sqrt{3} b^{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x - a\right)}^{\frac{1}{3}} + \left(-a\right)^{\frac{1}{3}}\right)}}{3 \, \left(-a\right)^{\frac{1}{3}}}\right)}{\left(-a\right)^{\frac{1}{3}} a^{2}} - \frac{2 \, b^{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)}{\left(-a\right)^{\frac{1}{3}} a^{2}} - \frac{4 \, \left(-a\right)^{\frac{2}{3}} b^{3} \log\left({\left| {\left(b x - a\right)}^{\frac{1}{3}} - \left(-a\right)^{\frac{1}{3}} \right|}\right)}{a^{3}} + \frac{3 \, {\left(4 \, {\left(b x - a\right)}^{\frac{5}{3}} b^{3} + 7 \, {\left(b x - a\right)}^{\frac{2}{3}} a b^{3}\right)}}{a^{2} b^{2} x^{2}}}{18 \, b}"," ",0,"1/18*(4*sqrt(3)*b^3*arctan(1/3*sqrt(3)*(2*(b*x - a)^(1/3) + (-a)^(1/3))/(-a)^(1/3))/((-a)^(1/3)*a^2) - 2*b^3*log((b*x - a)^(2/3) + (b*x - a)^(1/3)*(-a)^(1/3) + (-a)^(2/3))/((-a)^(1/3)*a^2) - 4*(-a)^(2/3)*b^3*log(abs((b*x - a)^(1/3) - (-a)^(1/3)))/a^3 + 3*(4*(b*x - a)^(5/3)*b^3 + 7*(b*x - a)^(2/3)*a*b^3)/(a^2*b^2*x^2))/b","A",0
406,1,49,0,1.025874," ","integrate(x^3/(b*x+a)^(2/3),x, algorithm=""giac"")","\frac{3 \, {\left(14 \, {\left(b x + a\right)}^{\frac{10}{3}} - 60 \, {\left(b x + a\right)}^{\frac{7}{3}} a + 105 \, {\left(b x + a\right)}^{\frac{4}{3}} a^{2} - 140 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{3}\right)}}{140 \, b^{4}}"," ",0,"3/140*(14*(b*x + a)^(10/3) - 60*(b*x + a)^(7/3)*a + 105*(b*x + a)^(4/3)*a^2 - 140*(b*x + a)^(1/3)*a^3)/b^4","A",0
407,1,37,0,0.897209," ","integrate(x^2/(b*x+a)^(2/3),x, algorithm=""giac"")","\frac{3 \, {\left(2 \, {\left(b x + a\right)}^{\frac{7}{3}} - 7 \, {\left(b x + a\right)}^{\frac{4}{3}} a + 14 \, {\left(b x + a\right)}^{\frac{1}{3}} a^{2}\right)}}{14 \, b^{3}}"," ",0,"3/14*(2*(b*x + a)^(7/3) - 7*(b*x + a)^(4/3)*a + 14*(b*x + a)^(1/3)*a^2)/b^3","A",0
408,1,23,0,0.890659," ","integrate(x/(b*x+a)^(2/3),x, algorithm=""giac"")","\frac{3 \, {\left({\left(b x + a\right)}^{\frac{4}{3}} - 4 \, {\left(b x + a\right)}^{\frac{1}{3}} a\right)}}{4 \, b^{2}}"," ",0,"3/4*((b*x + a)^(4/3) - 4*(b*x + a)^(1/3)*a)/b^2","A",0
409,1,12,0,0.975500," ","integrate(1/(b*x+a)^(2/3),x, algorithm=""giac"")","\frac{3 \, {\left(b x + a\right)}^{\frac{1}{3}}}{b}"," ",0,"3*(b*x + a)^(1/3)/b","A",0
410,1,78,0,2.316737," ","integrate(1/x/(b*x+a)^(2/3),x, algorithm=""giac"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{2}{3}}} - \frac{\log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{2 \, a^{\frac{2}{3}}} + \frac{\log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{2}{3}}}"," ",0,"-sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) - 1/2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) + log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(2/3)","A",0
411,1,108,0,2.372668," ","integrate(1/x^2/(b*x+a)^(2/3),x, algorithm=""giac"")","\frac{\frac{2 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{5}{3}}} + \frac{b^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{a^{\frac{5}{3}}} - \frac{2 \, b^{2} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{5}{3}}} - \frac{3 \, {\left(b x + a\right)}^{\frac{1}{3}} b}{a x}}{3 \, b}"," ",0,"1/3*(2*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(5/3) + b^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(5/3) - 2*b^2*log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(5/3) - 3*(b*x + a)^(1/3)*b/(a*x))/b","A",0
412,1,130,0,2.048890," ","integrate(1/x^3/(b*x+a)^(2/3),x, algorithm=""giac"")","-\frac{\frac{10 \, \sqrt{3} b^{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{8}{3}}} + \frac{5 \, b^{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{8}{3}}} - \frac{10 \, b^{3} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{8}{3}}} - \frac{3 \, {\left(5 \, {\left(b x + a\right)}^{\frac{4}{3}} b^{3} - 8 \, {\left(b x + a\right)}^{\frac{1}{3}} a b^{3}\right)}}{a^{2} b^{2} x^{2}}}{18 \, b}"," ",0,"-1/18*(10*sqrt(3)*b^3*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(8/3) + 5*b^3*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(8/3) - 10*b^3*log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(8/3) - 3*(5*(b*x + a)^(4/3)*b^3 - 8*(b*x + a)^(1/3)*a*b^3)/(a^2*b^2*x^2))/b","A",0
413,1,62,0,1.103377," ","integrate(x^3/(b*x+a)^(4/3),x, algorithm=""giac"")","\frac{3 \, a^{3}}{{\left(b x + a\right)}^{\frac{1}{3}} b^{4}} + \frac{3 \, {\left(5 \, {\left(b x + a\right)}^{\frac{8}{3}} b^{28} - 24 \, {\left(b x + a\right)}^{\frac{5}{3}} a b^{28} + 60 \, {\left(b x + a\right)}^{\frac{2}{3}} a^{2} b^{28}\right)}}{40 \, b^{32}}"," ",0,"3*a^3/((b*x + a)^(1/3)*b^4) + 3/40*(5*(b*x + a)^(8/3)*b^28 - 24*(b*x + a)^(5/3)*a*b^28 + 60*(b*x + a)^(2/3)*a^2*b^28)/b^32","A",0
414,1,46,0,0.995631," ","integrate(x^2/(b*x+a)^(4/3),x, algorithm=""giac"")","-\frac{3 \, a^{2}}{{\left(b x + a\right)}^{\frac{1}{3}} b^{3}} + \frac{3 \, {\left({\left(b x + a\right)}^{\frac{5}{3}} b^{12} - 5 \, {\left(b x + a\right)}^{\frac{2}{3}} a b^{12}\right)}}{5 \, b^{15}}"," ",0,"-3*a^2/((b*x + a)^(1/3)*b^3) + 3/5*((b*x + a)^(5/3)*b^12 - 5*(b*x + a)^(2/3)*a*b^12)/b^15","A",0
415,1,30,0,0.933803," ","integrate(x/(b*x+a)^(4/3),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{{\left(b x + a\right)}^{\frac{2}{3}}}{b} + \frac{2 \, a}{{\left(b x + a\right)}^{\frac{1}{3}} b}\right)}}{2 \, b}"," ",0,"3/2*((b*x + a)^(2/3)/b + 2*a/((b*x + a)^(1/3)*b))/b","A",0
416,1,12,0,0.763923," ","integrate(1/(b*x+a)^(4/3),x, algorithm=""giac"")","-\frac{3}{{\left(b x + a\right)}^{\frac{1}{3}} b}"," ",0,"-3/((b*x + a)^(1/3)*b)","A",0
417,1,89,0,2.377122," ","integrate(1/x/(b*x+a)^(4/3),x, algorithm=""giac"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{4}{3}}} - \frac{\log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{2 \, a^{\frac{4}{3}}} + \frac{\log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{a^{\frac{4}{3}}} + \frac{3}{{\left(b x + a\right)}^{\frac{1}{3}} a}"," ",0,"sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(4/3) - 1/2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) + log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(4/3) + 3/((b*x + a)^(1/3)*a)","A",0
418,1,120,0,2.399067," ","integrate(1/x^2/(b*x+a)^(4/3),x, algorithm=""giac"")","-\frac{4 \, \sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{7}{3}}} + \frac{2 \, b \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{3 \, a^{\frac{7}{3}}} - \frac{4 \, b \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{3 \, a^{\frac{7}{3}}} - \frac{4 \, {\left(b x + a\right)} b - 3 \, a b}{{\left({\left(b x + a\right)}^{\frac{4}{3}} - {\left(b x + a\right)}^{\frac{1}{3}} a\right)} a^{2}}"," ",0,"-4/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(7/3) + 2/3*b*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(7/3) - 4/3*b*log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(7/3) - (4*(b*x + a)*b - 3*a*b)/(((b*x + a)^(4/3) - (b*x + a)^(1/3)*a)*a^2)","A",0
419,1,140,0,2.589937," ","integrate(1/x^3/(b*x+a)^(4/3),x, algorithm=""giac"")","\frac{14 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{10}{3}}} - \frac{7 \, b^{2} \log\left({\left(b x + a\right)}^{\frac{2}{3}} + {\left(b x + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{9 \, a^{\frac{10}{3}}} + \frac{14 \, b^{2} \log\left({\left| {\left(b x + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}} \right|}\right)}{9 \, a^{\frac{10}{3}}} + \frac{3 \, b^{2}}{{\left(b x + a\right)}^{\frac{1}{3}} a^{3}} + \frac{10 \, {\left(b x + a\right)}^{\frac{5}{3}} b^{2} - 13 \, {\left(b x + a\right)}^{\frac{2}{3}} a b^{2}}{6 \, a^{3} b^{2} x^{2}}"," ",0,"14/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x + a)^(1/3) + a^(1/3))/a^(1/3))/a^(10/3) - 7/9*b^2*log((b*x + a)^(2/3) + (b*x + a)^(1/3)*a^(1/3) + a^(2/3))/a^(10/3) + 14/9*b^2*log(abs((b*x + a)^(1/3) - a^(1/3)))/a^(10/3) + 3*b^2/((b*x + a)^(1/3)*a^3) + 1/6*(10*(b*x + a)^(5/3)*b^2 - 13*(b*x + a)^(2/3)*a*b^2)/(a^3*b^2*x^2)","A",0
420,1,87,0,1.031861," ","integrate(1/x/(b^3*x+a^3)^(1/3),x, algorithm=""giac"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a + 2 \, {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a} - \frac{\log\left(a^{2} + {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}} a + {\left(b^{3} x + a^{3}\right)}^{\frac{2}{3}}\right)}{2 \, a} + \frac{\log\left({\left| -a + {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}} \right|}\right)}{a}"," ",0,"sqrt(3)*arctan(1/3*sqrt(3)*(a + 2*(b^3*x + a^3)^(1/3))/a)/a - 1/2*log(a^2 + (b^3*x + a^3)^(1/3)*a + (b^3*x + a^3)^(2/3))/a + log(abs(-a + (b^3*x + a^3)^(1/3)))/a","A",0
421,1,91,0,0.767068," ","integrate(1/x/(-b^3*x+a^3)^(1/3),x, algorithm=""giac"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a + 2 \, {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a} - \frac{\log\left(a^{2} + {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}} a + {\left(-b^{3} x + a^{3}\right)}^{\frac{2}{3}}\right)}{2 \, a} + \frac{\log\left({\left| -a + {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}} \right|}\right)}{a}"," ",0,"sqrt(3)*arctan(1/3*sqrt(3)*(a + 2*(-b^3*x + a^3)^(1/3))/a)/a - 1/2*log(a^2 + (-b^3*x + a^3)^(1/3)*a + (-b^3*x + a^3)^(2/3))/a + log(abs(-a + (-b^3*x + a^3)^(1/3)))/a","A",0
422,1,95,0,1.067714," ","integrate(1/x/(b^3*x-a^3)^(1/3),x, algorithm=""giac"")","\frac{\sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a} + \frac{\log\left(a^{2} - {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}} a + {\left(b^{3} x - a^{3}\right)}^{\frac{2}{3}}\right)}{2 \, a} - \frac{\log\left({\left| a + {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}} \right|}\right)}{a}"," ",0,"sqrt(3)*arctan(-1/3*sqrt(3)*(a - 2*(b^3*x - a^3)^(1/3))/a)/a + 1/2*log(a^2 - (b^3*x - a^3)^(1/3)*a + (b^3*x - a^3)^(2/3))/a - log(abs(a + (b^3*x - a^3)^(1/3)))/a","A",0
423,1,99,0,1.003460," ","integrate(1/x/(-b^3*x-a^3)^(1/3),x, algorithm=""giac"")","\frac{\sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a} + \frac{\log\left(a^{2} - {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}} a + {\left(-b^{3} x - a^{3}\right)}^{\frac{2}{3}}\right)}{2 \, a} - \frac{\log\left({\left| a + {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}} \right|}\right)}{a}"," ",0,"sqrt(3)*arctan(-1/3*sqrt(3)*(a - 2*(-b^3*x - a^3)^(1/3))/a)/a + 1/2*log(a^2 - (-b^3*x - a^3)^(1/3)*a + (-b^3*x - a^3)^(2/3))/a - log(abs(a + (-b^3*x - a^3)^(1/3)))/a","A",0
424,1,88,0,1.003109," ","integrate(1/x/(b^3*x+a^3)^(2/3),x, algorithm=""giac"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a + 2 \, {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a^{2}} - \frac{\log\left(a^{2} + {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}} a + {\left(b^{3} x + a^{3}\right)}^{\frac{2}{3}}\right)}{2 \, a^{2}} + \frac{\log\left({\left| -a + {\left(b^{3} x + a^{3}\right)}^{\frac{1}{3}} \right|}\right)}{a^{2}}"," ",0,"-sqrt(3)*arctan(1/3*sqrt(3)*(a + 2*(b^3*x + a^3)^(1/3))/a)/a^2 - 1/2*log(a^2 + (b^3*x + a^3)^(1/3)*a + (b^3*x + a^3)^(2/3))/a^2 + log(abs(-a + (b^3*x + a^3)^(1/3)))/a^2","A",0
425,1,92,0,1.085973," ","integrate(1/x/(-b^3*x+a^3)^(2/3),x, algorithm=""giac"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a + 2 \, {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a^{2}} - \frac{\log\left(a^{2} + {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}} a + {\left(-b^{3} x + a^{3}\right)}^{\frac{2}{3}}\right)}{2 \, a^{2}} + \frac{\log\left({\left| -a + {\left(-b^{3} x + a^{3}\right)}^{\frac{1}{3}} \right|}\right)}{a^{2}}"," ",0,"-sqrt(3)*arctan(1/3*sqrt(3)*(a + 2*(-b^3*x + a^3)^(1/3))/a)/a^2 - 1/2*log(a^2 + (-b^3*x + a^3)^(1/3)*a + (-b^3*x + a^3)^(2/3))/a^2 + log(abs(-a + (-b^3*x + a^3)^(1/3)))/a^2","A",0
426,1,94,0,0.988094," ","integrate(1/x/(b^3*x-a^3)^(2/3),x, algorithm=""giac"")","\frac{\sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a^{2}} - \frac{\log\left(a^{2} - {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}} a + {\left(b^{3} x - a^{3}\right)}^{\frac{2}{3}}\right)}{2 \, a^{2}} + \frac{\log\left({\left| a + {\left(b^{3} x - a^{3}\right)}^{\frac{1}{3}} \right|}\right)}{a^{2}}"," ",0,"sqrt(3)*arctan(-1/3*sqrt(3)*(a - 2*(b^3*x - a^3)^(1/3))/a)/a^2 - 1/2*log(a^2 - (b^3*x - a^3)^(1/3)*a + (b^3*x - a^3)^(2/3))/a^2 + log(abs(a + (b^3*x - a^3)^(1/3)))/a^2","A",0
427,1,98,0,1.073636," ","integrate(1/x/(-b^3*x-a^3)^(2/3),x, algorithm=""giac"")","\frac{\sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, a}\right)}{a^{2}} - \frac{\log\left(a^{2} - {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}} a + {\left(-b^{3} x - a^{3}\right)}^{\frac{2}{3}}\right)}{2 \, a^{2}} + \frac{\log\left({\left| a + {\left(-b^{3} x - a^{3}\right)}^{\frac{1}{3}} \right|}\right)}{a^{2}}"," ",0,"sqrt(3)*arctan(-1/3*sqrt(3)*(a - 2*(-b^3*x - a^3)^(1/3))/a)/a^2 - 1/2*log(a^2 - (-b^3*x - a^3)^(1/3)*a + (-b^3*x - a^3)^(2/3))/a^2 + log(abs(a + (-b^3*x - a^3)^(1/3)))/a^2","A",0
428,1,43,0,1.006251," ","integrate(x^m*(b*x+a),x, algorithm=""giac"")","\frac{b m x^{2} x^{m} + a m x x^{m} + b x^{2} x^{m} + 2 \, a x x^{m}}{m^{2} + 3 \, m + 2}"," ",0,"(b*m*x^2*x^m + a*m*x*x^m + b*x^2*x^m + 2*a*x*x^m)/(m^2 + 3*m + 2)","A",0
429,1,13,0,0.827822," ","integrate(x^(5/2)*(b*x+a),x, algorithm=""giac"")","\frac{2}{9} \, b x^{\frac{9}{2}} + \frac{2}{7} \, a x^{\frac{7}{2}}"," ",0,"2/9*b*x^(9/2) + 2/7*a*x^(7/2)","A",0
430,1,13,0,0.879638," ","integrate(x^(3/2)*(b*x+a),x, algorithm=""giac"")","\frac{2}{7} \, b x^{\frac{7}{2}} + \frac{2}{5} \, a x^{\frac{5}{2}}"," ",0,"2/7*b*x^(7/2) + 2/5*a*x^(5/2)","A",0
431,1,13,0,0.859326," ","integrate((b*x+a)*x^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, b x^{\frac{5}{2}} + \frac{2}{3} \, a x^{\frac{3}{2}}"," ",0,"2/5*b*x^(5/2) + 2/3*a*x^(3/2)","A",0
432,1,13,0,1.080722," ","integrate((b*x+a)/x^(1/2),x, algorithm=""giac"")","\frac{2}{3} \, b x^{\frac{3}{2}} + 2 \, a \sqrt{x}"," ",0,"2/3*b*x^(3/2) + 2*a*sqrt(x)","A",0
433,1,13,0,0.920190," ","integrate((b*x+a)/x^(3/2),x, algorithm=""giac"")","2 \, b \sqrt{x} - \frac{2 \, a}{\sqrt{x}}"," ",0,"2*b*sqrt(x) - 2*a/sqrt(x)","A",0
434,1,11,0,0.965528," ","integrate((b*x+a)/x^(5/2),x, algorithm=""giac"")","-\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
435,1,117,0,1.102199," ","integrate(x^m*(b*x+a)^2,x, algorithm=""giac"")","\frac{b^{2} m^{2} x^{3} x^{m} + 2 \, a b m^{2} x^{2} x^{m} + 3 \, b^{2} m x^{3} x^{m} + a^{2} m^{2} x x^{m} + 8 \, a b m x^{2} x^{m} + 2 \, b^{2} x^{3} x^{m} + 5 \, a^{2} m x x^{m} + 6 \, a b x^{2} x^{m} + 6 \, a^{2} x x^{m}}{m^{3} + 6 \, m^{2} + 11 \, m + 6}"," ",0,"(b^2*m^2*x^3*x^m + 2*a*b*m^2*x^2*x^m + 3*b^2*m*x^3*x^m + a^2*m^2*x*x^m + 8*a*b*m*x^2*x^m + 2*b^2*x^3*x^m + 5*a^2*m*x*x^m + 6*a*b*x^2*x^m + 6*a^2*x*x^m)/(m^3 + 6*m^2 + 11*m + 6)","B",0
436,1,24,0,1.155977," ","integrate(x^(5/2)*(b*x+a)^2,x, algorithm=""giac"")","\frac{2}{11} \, b^{2} x^{\frac{11}{2}} + \frac{4}{9} \, a b x^{\frac{9}{2}} + \frac{2}{7} \, a^{2} x^{\frac{7}{2}}"," ",0,"2/11*b^2*x^(11/2) + 4/9*a*b*x^(9/2) + 2/7*a^2*x^(7/2)","A",0
437,1,24,0,1.117768," ","integrate(x^(3/2)*(b*x+a)^2,x, algorithm=""giac"")","\frac{2}{9} \, b^{2} x^{\frac{9}{2}} + \frac{4}{7} \, a b x^{\frac{7}{2}} + \frac{2}{5} \, a^{2} x^{\frac{5}{2}}"," ",0,"2/9*b^2*x^(9/2) + 4/7*a*b*x^(7/2) + 2/5*a^2*x^(5/2)","A",0
438,1,24,0,0.899085," ","integrate((b*x+a)^2*x^(1/2),x, algorithm=""giac"")","\frac{2}{7} \, b^{2} x^{\frac{7}{2}} + \frac{4}{5} \, a b x^{\frac{5}{2}} + \frac{2}{3} \, a^{2} x^{\frac{3}{2}}"," ",0,"2/7*b^2*x^(7/2) + 4/5*a*b*x^(5/2) + 2/3*a^2*x^(3/2)","A",0
439,1,24,0,0.917491," ","integrate((b*x+a)^2/x^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, b^{2} x^{\frac{5}{2}} + \frac{4}{3} \, a b x^{\frac{3}{2}} + 2 \, a^{2} \sqrt{x}"," ",0,"2/5*b^2*x^(5/2) + 4/3*a*b*x^(3/2) + 2*a^2*sqrt(x)","A",0
440,1,24,0,1.016116," ","integrate((b*x+a)^2/x^(3/2),x, algorithm=""giac"")","\frac{2}{3} \, b^{2} x^{\frac{3}{2}} + 4 \, a b \sqrt{x} - \frac{2 \, a^{2}}{\sqrt{x}}"," ",0,"2/3*b^2*x^(3/2) + 4*a*b*sqrt(x) - 2*a^2/sqrt(x)","A",0
441,1,23,0,1.002490," ","integrate((b*x+a)^2/x^(5/2),x, algorithm=""giac"")","2 \, b^{2} \sqrt{x} - \frac{2 \, {\left(6 \, a b x + a^{2}\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2*b^2*sqrt(x) - 2/3*(6*a*b*x + a^2)/x^(3/2)","A",0
442,1,224,0,1.026621," ","integrate(x^m*(b*x+a)^3,x, algorithm=""giac"")","\frac{b^{3} m^{3} x^{4} x^{m} + 3 \, a b^{2} m^{3} x^{3} x^{m} + 6 \, b^{3} m^{2} x^{4} x^{m} + 3 \, a^{2} b m^{3} x^{2} x^{m} + 21 \, a b^{2} m^{2} x^{3} x^{m} + 11 \, b^{3} m x^{4} x^{m} + a^{3} m^{3} x x^{m} + 24 \, a^{2} b m^{2} x^{2} x^{m} + 42 \, a b^{2} m x^{3} x^{m} + 6 \, b^{3} x^{4} x^{m} + 9 \, a^{3} m^{2} x x^{m} + 57 \, a^{2} b m x^{2} x^{m} + 24 \, a b^{2} x^{3} x^{m} + 26 \, a^{3} m x x^{m} + 36 \, a^{2} b x^{2} x^{m} + 24 \, a^{3} x x^{m}}{m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24}"," ",0,"(b^3*m^3*x^4*x^m + 3*a*b^2*m^3*x^3*x^m + 6*b^3*m^2*x^4*x^m + 3*a^2*b*m^3*x^2*x^m + 21*a*b^2*m^2*x^3*x^m + 11*b^3*m*x^4*x^m + a^3*m^3*x*x^m + 24*a^2*b*m^2*x^2*x^m + 42*a*b^2*m*x^3*x^m + 6*b^3*x^4*x^m + 9*a^3*m^2*x*x^m + 57*a^2*b*m*x^2*x^m + 24*a*b^2*x^3*x^m + 26*a^3*m*x*x^m + 36*a^2*b*x^2*x^m + 24*a^3*x*x^m)/(m^4 + 10*m^3 + 35*m^2 + 50*m + 24)","B",0
443,1,35,0,0.990416," ","integrate(x^(5/2)*(b*x+a)^3,x, algorithm=""giac"")","\frac{2}{13} \, b^{3} x^{\frac{13}{2}} + \frac{6}{11} \, a b^{2} x^{\frac{11}{2}} + \frac{2}{3} \, a^{2} b x^{\frac{9}{2}} + \frac{2}{7} \, a^{3} x^{\frac{7}{2}}"," ",0,"2/13*b^3*x^(13/2) + 6/11*a*b^2*x^(11/2) + 2/3*a^2*b*x^(9/2) + 2/7*a^3*x^(7/2)","A",0
444,1,35,0,0.990774," ","integrate(x^(3/2)*(b*x+a)^3,x, algorithm=""giac"")","\frac{2}{11} \, b^{3} x^{\frac{11}{2}} + \frac{2}{3} \, a b^{2} x^{\frac{9}{2}} + \frac{6}{7} \, a^{2} b x^{\frac{7}{2}} + \frac{2}{5} \, a^{3} x^{\frac{5}{2}}"," ",0,"2/11*b^3*x^(11/2) + 2/3*a*b^2*x^(9/2) + 6/7*a^2*b*x^(7/2) + 2/5*a^3*x^(5/2)","A",0
445,1,35,0,1.081877," ","integrate((b*x+a)^3*x^(1/2),x, algorithm=""giac"")","\frac{2}{9} \, b^{3} x^{\frac{9}{2}} + \frac{6}{7} \, a b^{2} x^{\frac{7}{2}} + \frac{6}{5} \, a^{2} b x^{\frac{5}{2}} + \frac{2}{3} \, a^{3} x^{\frac{3}{2}}"," ",0,"2/9*b^3*x^(9/2) + 6/7*a*b^2*x^(7/2) + 6/5*a^2*b*x^(5/2) + 2/3*a^3*x^(3/2)","A",0
446,1,35,0,0.938900," ","integrate((b*x+a)^3/x^(1/2),x, algorithm=""giac"")","\frac{2}{7} \, b^{3} x^{\frac{7}{2}} + \frac{6}{5} \, a b^{2} x^{\frac{5}{2}} + 2 \, a^{2} b x^{\frac{3}{2}} + 2 \, a^{3} \sqrt{x}"," ",0,"2/7*b^3*x^(7/2) + 6/5*a*b^2*x^(5/2) + 2*a^2*b*x^(3/2) + 2*a^3*sqrt(x)","A",0
447,1,35,0,1.032067," ","integrate((b*x+a)^3/x^(3/2),x, algorithm=""giac"")","\frac{2}{5} \, b^{3} x^{\frac{5}{2}} + 2 \, a b^{2} x^{\frac{3}{2}} + 6 \, a^{2} b \sqrt{x} - \frac{2 \, a^{3}}{\sqrt{x}}"," ",0,"2/5*b^3*x^(5/2) + 2*a*b^2*x^(3/2) + 6*a^2*b*sqrt(x) - 2*a^3/sqrt(x)","A",0
448,1,34,0,1.065222," ","integrate((b*x+a)^3/x^(5/2),x, algorithm=""giac"")","\frac{2}{3} \, b^{3} x^{\frac{3}{2}} + 6 \, a b^{2} \sqrt{x} - \frac{2 \, {\left(9 \, a^{2} b x + a^{3}\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*b^3*x^(3/2) + 6*a*b^2*sqrt(x) - 2/3*(9*a^2*b*x + a^3)/x^(3/2)","A",0
449,1,59,0,0.874825," ","integrate(x^(5/2)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, a^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} + \frac{2 \, {\left(3 \, b^{4} x^{\frac{5}{2}} - 5 \, a b^{3} x^{\frac{3}{2}} + 15 \, a^{2} b^{2} \sqrt{x}\right)}}{15 \, b^{5}}"," ",0,"-2*a^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) + 2/15*(3*b^4*x^(5/2) - 5*a*b^3*x^(3/2) + 15*a^2*b^2*sqrt(x))/b^5","A",0
450,1,45,0,1.238415," ","integrate(x^(3/2)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{2 \, {\left(b^{2} x^{\frac{3}{2}} - 3 \, a b \sqrt{x}\right)}}{3 \, b^{3}}"," ",0,"2*a^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2) + 2/3*(b^2*x^(3/2) - 3*a*b*sqrt(x))/b^3","A",0
451,1,31,0,0.988921," ","integrate(x^(1/2)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b} + \frac{2 \, \sqrt{x}}{b}"," ",0,"-2*a*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b) + 2*sqrt(x)/b","A",0
452,1,18,0,0.947269," ","integrate(1/(b*x+a)/x^(1/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"2*arctan(b*sqrt(x)/sqrt(a*b))/sqrt(a*b)","A",0
453,1,31,0,0.996504," ","integrate(1/x^(3/2)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a} - \frac{2}{a \sqrt{x}}"," ",0,"-2*b*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a) - 2/(a*sqrt(x))","A",0
454,1,41,0,1.156705," ","integrate(1/x^(5/2)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}} + \frac{2 \, {\left(3 \, b x - a\right)}}{3 \, a^{2} x^{\frac{3}{2}}}"," ",0,"2*b^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2) + 2/3*(3*b*x - a)/(a^2*x^(3/2))","A",0
455,1,52,0,0.993802," ","integrate(1/x^(7/2)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, b^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}} - \frac{2 \, {\left(15 \, b^{2} x^{2} - 5 \, a b x + 3 \, a^{2}\right)}}{15 \, a^{3} x^{\frac{5}{2}}}"," ",0,"-2*b^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3) - 2/15*(15*b^2*x^2 - 5*a*b*x + 3*a^2)/(a^3*x^(5/2))","A",0
456,1,65,0,0.927759," ","integrate(x^(5/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{5 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} - \frac{a^{2} \sqrt{x}}{{\left(b x + a\right)} b^{3}} + \frac{2 \, {\left(b^{4} x^{\frac{3}{2}} - 6 \, a b^{3} \sqrt{x}\right)}}{3 \, b^{6}}"," ",0,"5*a^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) - a^2*sqrt(x)/((b*x + a)*b^3) + 2/3*(b^4*x^(3/2) - 6*a*b^3*sqrt(x))/b^6","A",0
457,1,46,0,0.955597," ","integrate(x^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{3 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{a \sqrt{x}}{{\left(b x + a\right)} b^{2}} + \frac{2 \, \sqrt{x}}{b^{2}}"," ",0,"-3*a*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2) + a*sqrt(x)/((b*x + a)*b^2) + 2*sqrt(x)/b^2","A",0
458,1,36,0,0.900995," ","integrate(x^(1/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b} - \frac{\sqrt{x}}{{\left(b x + a\right)} b}"," ",0,"arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b) - sqrt(x)/((b*x + a)*b)","A",0
459,1,35,0,0.893718," ","integrate(1/(b*x+a)^2/x^(1/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a} + \frac{\sqrt{x}}{{\left(b x + a\right)} a}"," ",0,"arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a) + sqrt(x)/((b*x + a)*a)","A",0
460,1,49,0,1.005616," ","integrate(1/x^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{3 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}} - \frac{3 \, b x + 2 \, a}{{\left(b x^{\frac{3}{2}} + a \sqrt{x}\right)} a^{2}}"," ",0,"-3*b*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2) - (3*b*x + 2*a)/((b*x^(3/2) + a*sqrt(x))*a^2)","A",0
461,1,58,0,0.956568," ","integrate(1/x^(5/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{5 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}} + \frac{b^{2} \sqrt{x}}{{\left(b x + a\right)} a^{3}} + \frac{2 \, {\left(6 \, b x - a\right)}}{3 \, a^{3} x^{\frac{3}{2}}}"," ",0,"5*b^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3) + b^2*sqrt(x)/((b*x + a)*a^3) + 2/3*(6*b*x - a)/(a^3*x^(3/2))","A",0
462,1,77,0,1.027298," ","integrate(x^(7/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{35 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{4}} - \frac{13 \, a^{2} b x^{\frac{3}{2}} + 11 \, a^{3} \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} b^{4}} + \frac{2 \, {\left(b^{6} x^{\frac{3}{2}} - 9 \, a b^{5} \sqrt{x}\right)}}{3 \, b^{9}}"," ",0,"35/4*a^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4) - 1/4*(13*a^2*b*x^(3/2) + 11*a^3*sqrt(x))/((b*x + a)^2*b^4) + 2/3*(b^6*x^(3/2) - 9*a*b^5*sqrt(x))/b^9","A",0
463,1,59,0,0.953459," ","integrate(x^(5/2)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{15 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{3}} + \frac{2 \, \sqrt{x}}{b^{3}} + \frac{9 \, a b x^{\frac{3}{2}} + 7 \, a^{2} \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} b^{3}}"," ",0,"-15/4*a*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) + 2*sqrt(x)/b^3 + 1/4*(9*a*b*x^(3/2) + 7*a^2*sqrt(x))/((b*x + a)^2*b^3)","A",0
464,1,47,0,0.907927," ","integrate(x^(3/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{3 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{2}} - \frac{5 \, b x^{\frac{3}{2}} + 3 \, a \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"3/4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2) - 1/4*(5*b*x^(3/2) + 3*a*sqrt(x))/((b*x + a)^2*b^2)","A",0
465,1,52,0,1.065844," ","integrate(x^(1/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a b} + \frac{b x^{\frac{3}{2}} - a \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a b}"," ",0,"1/4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a*b) + 1/4*(b*x^(3/2) - a*sqrt(x))/((b*x + a)^2*a*b)","A",0
466,1,47,0,0.861974," ","integrate(1/(b*x+a)^3/x^(1/2),x, algorithm=""giac"")","\frac{3 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{2}} + \frac{3 \, b x^{\frac{3}{2}} + 5 \, a \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a^{2}}"," ",0,"3/4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2) + 1/4*(3*b*x^(3/2) + 5*a*sqrt(x))/((b*x + a)^2*a^2)","A",0
467,1,59,0,1.142135," ","integrate(1/x^(3/2)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{15 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{3}} - \frac{2}{a^{3} \sqrt{x}} - \frac{7 \, b^{2} x^{\frac{3}{2}} + 9 \, a b \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a^{3}}"," ",0,"-15/4*b*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3) - 2/(a^3*sqrt(x)) - 1/4*(7*b^2*x^(3/2) + 9*a*b*sqrt(x))/((b*x + a)^2*a^3)","A",0
468,1,71,0,1.100852," ","integrate(1/x^(5/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{35 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{4}} + \frac{2 \, {\left(9 \, b x - a\right)}}{3 \, a^{4} x^{\frac{3}{2}}} + \frac{11 \, b^{3} x^{\frac{3}{2}} + 13 \, a b^{2} \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a^{4}}"," ",0,"35/4*b^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4) + 2/3*(9*b*x - a)/(a^4*x^(3/2)) + 1/4*(11*b^3*x^(3/2) + 13*a*b^2*sqrt(x))/((b*x + a)^2*a^4)","A",0
469,1,61,0,1.034401," ","integrate(x^(5/2)/(b*x-a),x, algorithm=""giac"")","\frac{2 \, a^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b} b^{3}} + \frac{2 \, {\left(3 \, b^{4} x^{\frac{5}{2}} + 5 \, a b^{3} x^{\frac{3}{2}} + 15 \, a^{2} b^{2} \sqrt{x}\right)}}{15 \, b^{5}}"," ",0,"2*a^3*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*b^3) + 2/15*(3*b^4*x^(5/2) + 5*a*b^3*x^(3/2) + 15*a^2*b^2*sqrt(x))/b^5","A",0
470,1,47,0,0.939910," ","integrate(x^(3/2)/(b*x-a),x, algorithm=""giac"")","\frac{2 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b} b^{2}} + \frac{2 \, {\left(b^{2} x^{\frac{3}{2}} + 3 \, a b \sqrt{x}\right)}}{3 \, b^{3}}"," ",0,"2*a^2*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*b^2) + 2/3*(b^2*x^(3/2) + 3*a*b*sqrt(x))/b^3","A",0
471,1,33,0,1.044994," ","integrate(x^(1/2)/(b*x-a),x, algorithm=""giac"")","\frac{2 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b} b} + \frac{2 \, \sqrt{x}}{b}"," ",0,"2*a*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*b) + 2*sqrt(x)/b","A",0
472,1,20,0,1.004821," ","integrate(1/(b*x-a)/x^(1/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b}}"," ",0,"2*arctan(b*sqrt(x)/sqrt(-a*b))/sqrt(-a*b)","A",0
473,1,33,0,1.018994," ","integrate(1/x^(3/2)/(b*x-a),x, algorithm=""giac"")","\frac{2 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b} a} + \frac{2}{a \sqrt{x}}"," ",0,"2*b*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*a) + 2/(a*sqrt(x))","A",0
474,1,41,0,0.980971," ","integrate(1/x^(5/2)/(b*x-a),x, algorithm=""giac"")","\frac{2 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b} a^{2}} + \frac{2 \, {\left(3 \, b x + a\right)}}{3 \, a^{2} x^{\frac{3}{2}}}"," ",0,"2*b^2*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*a^2) + 2/3*(3*b*x + a)/(a^2*x^(3/2))","A",0
475,1,54,0,0.968373," ","integrate(1/x^(7/2)/(b*x-a),x, algorithm=""giac"")","\frac{2 \, b^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b} a^{3}} + \frac{2 \, {\left(15 \, b^{2} x^{2} + 5 \, a b x + 3 \, a^{2}\right)}}{15 \, a^{3} x^{\frac{5}{2}}}"," ",0,"2*b^3*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*a^3) + 2/15*(15*b^2*x^2 + 5*a*b*x + 3*a^2)/(a^3*x^(5/2))","A",0
476,1,69,0,0.984421," ","integrate(x^(5/2)/(b*x-a)^2,x, algorithm=""giac"")","\frac{5 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b} b^{3}} - \frac{a^{2} \sqrt{x}}{{\left(b x - a\right)} b^{3}} + \frac{2 \, {\left(b^{4} x^{\frac{3}{2}} + 6 \, a b^{3} \sqrt{x}\right)}}{3 \, b^{6}}"," ",0,"5*a^2*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*b^3) - a^2*sqrt(x)/((b*x - a)*b^3) + 2/3*(b^4*x^(3/2) + 6*a*b^3*sqrt(x))/b^6","A",0
477,1,51,0,0.978004," ","integrate(x^(3/2)/(b*x-a)^2,x, algorithm=""giac"")","\frac{3 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b} b^{2}} - \frac{a \sqrt{x}}{{\left(b x - a\right)} b^{2}} + \frac{2 \, \sqrt{x}}{b^{2}}"," ",0,"3*a*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*b^2) - a*sqrt(x)/((b*x - a)*b^2) + 2*sqrt(x)/b^2","A",0
478,1,40,0,1.063585," ","integrate(x^(1/2)/(b*x-a)^2,x, algorithm=""giac"")","\frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b} b} - \frac{\sqrt{x}}{{\left(b x - a\right)} b}"," ",0,"arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*b) - sqrt(x)/((b*x - a)*b)","A",0
479,1,41,0,0.882750," ","integrate(1/(b*x-a)^2/x^(1/2),x, algorithm=""giac"")","-\frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b} a} - \frac{\sqrt{x}}{{\left(b x - a\right)} a}"," ",0,"-arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*a) - sqrt(x)/((b*x - a)*a)","A",0
480,1,52,0,1.006087," ","integrate(1/x^(3/2)/(b*x-a)^2,x, algorithm=""giac"")","-\frac{3 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b} a^{2}} - \frac{3 \, b x - 2 \, a}{{\left(b x^{\frac{3}{2}} - a \sqrt{x}\right)} a^{2}}"," ",0,"-3*b*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*a^2) - (3*b*x - 2*a)/((b*x^(3/2) - a*sqrt(x))*a^2)","A",0
481,1,61,0,0.930019," ","integrate(1/x^(5/2)/(b*x-a)^2,x, algorithm=""giac"")","-\frac{5 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{\sqrt{-a b} a^{3}} - \frac{b^{2} \sqrt{x}}{{\left(b x - a\right)} a^{3}} - \frac{2 \, {\left(6 \, b x + a\right)}}{3 \, a^{3} x^{\frac{3}{2}}}"," ",0,"-5*b^2*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*a^3) - b^2*sqrt(x)/((b*x - a)*a^3) - 2/3*(6*b*x + a)/(a^3*x^(3/2))","A",0
482,1,81,0,1.033134," ","integrate(x^(7/2)/(b*x-a)^3,x, algorithm=""giac"")","\frac{35 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{4 \, \sqrt{-a b} b^{4}} - \frac{13 \, a^{2} b x^{\frac{3}{2}} - 11 \, a^{3} \sqrt{x}}{4 \, {\left(b x - a\right)}^{2} b^{4}} + \frac{2 \, {\left(b^{6} x^{\frac{3}{2}} + 9 \, a b^{5} \sqrt{x}\right)}}{3 \, b^{9}}"," ",0,"35/4*a^2*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*b^4) - 1/4*(13*a^2*b*x^(3/2) - 11*a^3*sqrt(x))/((b*x - a)^2*b^4) + 2/3*(b^6*x^(3/2) + 9*a*b^5*sqrt(x))/b^9","A",0
483,1,63,0,0.950850," ","integrate(x^(5/2)/(b*x-a)^3,x, algorithm=""giac"")","\frac{15 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{4 \, \sqrt{-a b} b^{3}} + \frac{2 \, \sqrt{x}}{b^{3}} - \frac{9 \, a b x^{\frac{3}{2}} - 7 \, a^{2} \sqrt{x}}{4 \, {\left(b x - a\right)}^{2} b^{3}}"," ",0,"15/4*a*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*b^3) + 2*sqrt(x)/b^3 - 1/4*(9*a*b*x^(3/2) - 7*a^2*sqrt(x))/((b*x - a)^2*b^3)","A",0
484,1,51,0,0.916401," ","integrate(x^(3/2)/(b*x-a)^3,x, algorithm=""giac"")","\frac{3 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{4 \, \sqrt{-a b} b^{2}} - \frac{5 \, b x^{\frac{3}{2}} - 3 \, a \sqrt{x}}{4 \, {\left(b x - a\right)}^{2} b^{2}}"," ",0,"3/4*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*b^2) - 1/4*(5*b*x^(3/2) - 3*a*sqrt(x))/((b*x - a)^2*b^2)","A",0
485,1,55,0,0.933290," ","integrate(x^(1/2)/(b*x-a)^3,x, algorithm=""giac"")","-\frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{4 \, \sqrt{-a b} a b} - \frac{b x^{\frac{3}{2}} + a \sqrt{x}}{4 \, {\left(b x - a\right)}^{2} a b}"," ",0,"-1/4*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*a*b) - 1/4*(b*x^(3/2) + a*sqrt(x))/((b*x - a)^2*a*b)","A",0
486,1,51,0,1.154845," ","integrate(1/(b*x-a)^3/x^(1/2),x, algorithm=""giac"")","\frac{3 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{4 \, \sqrt{-a b} a^{2}} + \frac{3 \, b x^{\frac{3}{2}} - 5 \, a \sqrt{x}}{4 \, {\left(b x - a\right)}^{2} a^{2}}"," ",0,"3/4*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*a^2) + 1/4*(3*b*x^(3/2) - 5*a*sqrt(x))/((b*x - a)^2*a^2)","A",0
487,1,63,0,1.046174," ","integrate(1/x^(3/2)/(b*x-a)^3,x, algorithm=""giac"")","\frac{15 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{4 \, \sqrt{-a b} a^{3}} + \frac{2}{a^{3} \sqrt{x}} + \frac{7 \, b^{2} x^{\frac{3}{2}} - 9 \, a b \sqrt{x}}{4 \, {\left(b x - a\right)}^{2} a^{3}}"," ",0,"15/4*b*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*a^3) + 2/(a^3*sqrt(x)) + 1/4*(7*b^2*x^(3/2) - 9*a*b*sqrt(x))/((b*x - a)^2*a^3)","A",0
488,1,73,0,1.042192," ","integrate(1/x^(5/2)/(b*x-a)^3,x, algorithm=""giac"")","\frac{35 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{-a b}}\right)}{4 \, \sqrt{-a b} a^{4}} + \frac{2 \, {\left(9 \, b x + a\right)}}{3 \, a^{4} x^{\frac{3}{2}}} + \frac{11 \, b^{3} x^{\frac{3}{2}} - 13 \, a b^{2} \sqrt{x}}{4 \, {\left(b x - a\right)}^{2} a^{4}}"," ",0,"35/4*b^2*arctan(b*sqrt(x)/sqrt(-a*b))/(sqrt(-a*b)*a^4) + 2/3*(9*b*x + a)/(a^4*x^(3/2)) + 1/4*(11*b^3*x^(3/2) - 13*a*b^2*sqrt(x))/((b*x - a)^2*a^4)","A",0
489,-1,0,0,0.000000," ","integrate(x^(5/2)*(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
490,-1,0,0,0.000000," ","integrate(x^(3/2)*(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
491,-1,0,0,0.000000," ","integrate(x^(1/2)*(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
492,-1,0,0,0.000000," ","integrate((b*x+a)^(1/2)/x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
493,-1,0,0,0.000000," ","integrate((b*x+a)^(1/2)/x^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
494,1,33,0,1.327176," ","integrate((b*x+a)^(1/2)/x^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{4}}{3 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{3}{2}} a {\left| b \right|}}"," ",0,"-2/3*(b*x + a)^(3/2)*b^4/(((b*x + a)*b - a*b)^(3/2)*a*abs(b))","B",0
495,1,50,0,1.101604," ","integrate((b*x+a)^(1/2)/x^(7/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{2 \, {\left(b x + a\right)} b^{5}}{a^{2}} - \frac{5 \, b^{5}}{a}\right)} {\left(b x + a\right)}^{\frac{3}{2}} b}{15 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{5}{2}} {\left| b \right|}}"," ",0,"2/15*(2*(b*x + a)*b^5/a^2 - 5*b^5/a)*(b*x + a)^(3/2)*b/(((b*x + a)*b - a*b)^(5/2)*abs(b))","A",0
496,1,66,0,0.973914," ","integrate((b*x+a)^(1/2)/x^(9/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{35 \, b^{7}}{a} + 4 \, {\left(\frac{2 \, {\left(b x + a\right)} b^{7}}{a^{3}} - \frac{7 \, b^{7}}{a^{2}}\right)} {\left(b x + a\right)}\right)} {\left(b x + a\right)}^{\frac{3}{2}} b}{105 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{7}{2}} {\left| b \right|}}"," ",0,"-2/105*(35*b^7/a + 4*(2*(b*x + a)*b^7/a^3 - 7*b^7/a^2)*(b*x + a))*(b*x + a)^(3/2)*b/(((b*x + a)*b - a*b)^(7/2)*abs(b))","A",0
497,-1,0,0,0.000000," ","integrate(x^(5/2)*(-b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
498,-1,0,0,0.000000," ","integrate(x^(3/2)*(-b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
499,-1,0,0,0.000000," ","integrate(x^(1/2)*(-b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
500,-1,0,0,0.000000," ","integrate((-b*x+a)^(1/2)/x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
501,-1,0,0,0.000000," ","integrate((-b*x+a)^(1/2)/x^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
502,1,42,0,1.395923," ","integrate((-b*x+a)^(1/2)/x^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x - a\right)} \sqrt{-b x + a} b^{4}}{3 \, {\left({\left(b x - a\right)} b + a b\right)}^{\frac{3}{2}} a {\left| b \right|}}"," ",0,"2/3*(b*x - a)*sqrt(-b*x + a)*b^4/(((b*x - a)*b + a*b)^(3/2)*a*abs(b))","B",0
503,1,61,0,1.384450," ","integrate((-b*x+a)^(1/2)/x^(7/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{2 \, {\left(b x - a\right)} b^{5}}{a^{2}} + \frac{5 \, b^{5}}{a}\right)} {\left(b x - a\right)} \sqrt{-b x + a} b}{15 \, {\left({\left(b x - a\right)} b + a b\right)}^{\frac{5}{2}} {\left| b \right|}}"," ",0,"2/15*(2*(b*x - a)*b^5/a^2 + 5*b^5/a)*(b*x - a)*sqrt(-b*x + a)*b/(((b*x - a)*b + a*b)^(5/2)*abs(b))","A",0
504,1,79,0,1.336277," ","integrate((-b*x+a)^(1/2)/x^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{35 \, b^{7}}{a} + 4 \, {\left(\frac{2 \, {\left(b x - a\right)} b^{7}}{a^{3}} + \frac{7 \, b^{7}}{a^{2}}\right)} {\left(b x - a\right)}\right)} {\left(b x - a\right)} \sqrt{-b x + a} b}{105 \, {\left({\left(b x - a\right)} b + a b\right)}^{\frac{7}{2}} {\left| b \right|}}"," ",0,"2/105*(35*b^7/a + 4*(2*(b*x - a)*b^7/a^3 + 7*b^7/a^2)*(b*x - a))*(b*x - a)*sqrt(-b*x + a)*b/(((b*x - a)*b + a*b)^(7/2)*abs(b))","A",0
505,-2,0,0,0.000000," ","integrate(x^(5/2)*(b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [59.8656459874,25.8388736797]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [33.9285577983,15.451549686]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [54.7579903365,81.9516051291]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [18.4052062202,51.6443148847]1/b*(2*b*abs(b)/b^2*(2*(((90*b^11/1440/b^14*sqrt(b*x+2)*sqrt(b*x+2)-750*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*x+2)+2445*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*x+2)-4185*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-35/8/b^2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+4*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(b*x+2)*sqrt(b*x+2)-78*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*x+2)+198*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+5/2/b/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2)))))","F(-2)",0
506,-2,0,0,0.000000," ","integrate(x^(3/2)*(b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [59.8656459874,25.8388736797]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [33.9285577983,15.451549686]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [54.7579903365,81.9516051291]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [18.4052062202,51.6443148847]1/b*(2*b*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(b*x+2)*sqrt(b*x+2)-78*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*x+2)+198*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+5/2/b/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+4*abs(b)/b^2/b*(2*(1/8*sqrt(b*x+2)*sqrt(b*x+2)-5/8)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-6*b/4/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2)))))","F(-2)",0
507,-2,0,0,0.000000," ","integrate(x^(1/2)*(b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [59.8656459874,25.8388736797]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [33.9285577983,15.451549686]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [54.7579903365,81.9516051291]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [18.4052062202,51.6443148847]1/b*(2*b*abs(b)/b^2/b*(2*(1/8*sqrt(b*x+2)*sqrt(b*x+2)-5/8)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-6*b/4/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+4*abs(b)/b^2*(1/2*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+2*b/2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2)))))","F(-2)",0
508,-2,0,0,0.000000," ","integrate((b*x+2)^(1/2)/x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]1/abs(b)*b^2/b*(1/b*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))","F(-2)",0
509,-2,0,0,0.000000," ","integrate((b*x+2)^(1/2)/x^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]b/abs(b)*b^2/b*(-2*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)/(b*(b*x+2)-2*b)-2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))","F(-2)",0
510,1,29,0,1.152479," ","integrate((b*x+2)^(1/2)/x^(5/2),x, algorithm=""giac"")","-\frac{{\left(b x + 2\right)}^{\frac{3}{2}} b^{4}}{3 \, {\left({\left(b x + 2\right)} b - 2 \, b\right)}^{\frac{3}{2}} {\left| b \right|}}"," ",0,"-1/3*(b*x + 2)^(3/2)*b^4/(((b*x + 2)*b - 2*b)^(3/2)*abs(b))","B",0
511,1,42,0,1.091813," ","integrate((b*x+2)^(1/2)/x^(7/2),x, algorithm=""giac"")","\frac{{\left({\left(b x + 2\right)} b^{5} - 5 \, b^{5}\right)} {\left(b x + 2\right)}^{\frac{3}{2}} b}{15 \, {\left({\left(b x + 2\right)} b - 2 \, b\right)}^{\frac{5}{2}} {\left| b \right|}}"," ",0,"1/15*((b*x + 2)*b^5 - 5*b^5)*(b*x + 2)^(3/2)*b/(((b*x + 2)*b - 2*b)^(5/2)*abs(b))","A",0
512,1,55,0,1.111152," ","integrate((b*x+2)^(1/2)/x^(9/2),x, algorithm=""giac"")","-\frac{{\left(35 \, b^{7} + 2 \, {\left({\left(b x + 2\right)} b^{7} - 7 \, b^{7}\right)} {\left(b x + 2\right)}\right)} {\left(b x + 2\right)}^{\frac{3}{2}} b}{105 \, {\left({\left(b x + 2\right)} b - 2 \, b\right)}^{\frac{7}{2}} {\left| b \right|}}"," ",0,"-1/105*(35*b^7 + 2*((b*x + 2)*b^7 - 7*b^7)*(b*x + 2))*(b*x + 2)^(3/2)*b/(((b*x + 2)*b - 2*b)^(7/2)*abs(b))","A",0
513,-2,0,0,0.000000," ","integrate(x^(5/2)*(-b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-41.1343540126,25.8388736797]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-67.0714422017,15.451549686]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-46.2420096635,81.9516051291]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-82.5947937798,51.6443148847]1/b*(2*b*abs(b)/b^2*(2*(((-90*b^11/1440/b^14*sqrt(-b*x+2)*sqrt(-b*x+2)+750*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*x+2)-2445*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*x+2)+4185*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-35/8/b^2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))-4*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(-b*x+2)*sqrt(-b*x+2)-78*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*x+2)+198*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-5/2/b/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2)))))","F(-2)",0
514,-2,0,0,0.000000," ","integrate(x^(3/2)*(-b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-41.1343540126,25.8388736797]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-67.0714422017,15.451549686]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-46.2420096635,81.9516051291]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-82.5947937798,51.6443148847]1/b*(2*b*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(-b*x+2)*sqrt(-b*x+2)-78*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*x+2)+198*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-5/2/b/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))+4*abs(b)/b^2/b*(2*(1/8*sqrt(-b*x+2)*sqrt(-b*x+2)-5/8)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)+6*b/4/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2)))))","F(-2)",0
515,-2,0,0,0.000000," ","integrate(x^(1/2)*(-b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-41.1343540126,25.8388736797]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-67.0714422017,15.451549686]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-46.2420096635,81.9516051291]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-82.5947937798,51.6443148847]1/b*(-2*b*abs(b)/b^2/b*(2*(1/8*sqrt(-b*x+2)*sqrt(-b*x+2)-5/8)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)+6*b/4/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))-4*abs(b)/b^2*(1/2*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-2*b/2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2)))))","F(-2)",0
516,-2,0,0,0.000000," ","integrate((-b*x+2)^(1/2)/x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]1/abs(b)*b^2/b*(1/b*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)+2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))","F(-2)",0
517,-2,0,0,0.000000," ","integrate((-b*x+2)^(1/2)/x^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]-b/abs(b)*b^2/b*(2*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)/(-b*(-b*x+2)+2*b)+2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))","F(-2)",0
518,1,35,0,1.115801," ","integrate((-b*x+2)^(1/2)/x^(5/2),x, algorithm=""giac"")","\frac{{\left(b x - 2\right)} \sqrt{-b x + 2} b^{4}}{3 \, {\left({\left(b x - 2\right)} b + 2 \, b\right)}^{\frac{3}{2}} {\left| b \right|}}"," ",0,"1/3*(b*x - 2)*sqrt(-b*x + 2)*b^4/(((b*x - 2)*b + 2*b)^(3/2)*abs(b))","B",0
519,1,48,0,0.852730," ","integrate((-b*x+2)^(1/2)/x^(7/2),x, algorithm=""giac"")","\frac{{\left({\left(b x - 2\right)} b^{5} + 5 \, b^{5}\right)} {\left(b x - 2\right)} \sqrt{-b x + 2} b}{15 \, {\left({\left(b x - 2\right)} b + 2 \, b\right)}^{\frac{5}{2}} {\left| b \right|}}"," ",0,"1/15*((b*x - 2)*b^5 + 5*b^5)*(b*x - 2)*sqrt(-b*x + 2)*b/(((b*x - 2)*b + 2*b)^(5/2)*abs(b))","A",0
520,1,61,0,0.975135," ","integrate((-b*x+2)^(1/2)/x^(9/2),x, algorithm=""giac"")","\frac{{\left(35 \, b^{7} + 2 \, {\left({\left(b x - 2\right)} b^{7} + 7 \, b^{7}\right)} {\left(b x - 2\right)}\right)} {\left(b x - 2\right)} \sqrt{-b x + 2} b}{105 \, {\left({\left(b x - 2\right)} b + 2 \, b\right)}^{\frac{7}{2}} {\left| b \right|}}"," ",0,"1/105*(35*b^7 + 2*((b*x - 2)*b^7 + 7*b^7)*(b*x - 2))*(b*x - 2)*sqrt(-b*x + 2)*b/(((b*x - 2)*b + 2*b)^(7/2)*abs(b))","A",0
521,-1,0,0,0.000000," ","integrate(x^(5/2)*(b*x+a)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
522,-1,0,0,0.000000," ","integrate(x^(3/2)*(b*x+a)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
523,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)*x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
524,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)/x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
525,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)/x^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
526,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)/x^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
527,-1,0,0,0.000000," ","integrate(x^(5/2)*(-b*x+a)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
528,-1,0,0,0.000000," ","integrate(x^(3/2)*(-b*x+a)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
529,-1,0,0,0.000000," ","integrate((-b*x+a)^(3/2)*x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
530,-1,0,0,0.000000," ","integrate((-b*x+a)^(3/2)/x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
531,-1,0,0,0.000000," ","integrate((-b*x+a)^(3/2)/x^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
532,-1,0,0,0.000000," ","integrate((-b*x+a)^(3/2)/x^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
533,-2,0,0,0.000000," ","integrate(x^(5/2)*(b*x+2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [82.7280518371,8.05231268331]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [64.3995612673,28.4266860783]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [39.1803401988,96.7771189027]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [95.5969694792,66.1769613782]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [39.9828299829,94.1262030317]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [88.2886286299,17.6881634681]1/b*(2*b^2*abs(b)/b^2*(2*((((5040*b^19/100800/b^23*sqrt(b*x+2)*sqrt(b*x+2)-51660*b^19/100800/b^23)*sqrt(b*x+2)*sqrt(b*x+2)+215460*b^19/100800/b^23)*sqrt(b*x+2)*sqrt(b*x+2)-469350*b^19/100800/b^23)*sqrt(b*x+2)*sqrt(b*x+2)+607950*b^19/100800/b^23)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+63/8/b^3/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+8*b*abs(b)/b^2*(2*(((90*b^11/1440/b^14*sqrt(b*x+2)*sqrt(b*x+2)-750*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*x+2)+2445*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*x+2)-4185*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-35/8/b^2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+8*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(b*x+2)*sqrt(b*x+2)-78*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*x+2)+198*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+5/2/b/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2)))))","F(-2)",0
534,-2,0,0,0.000000," ","integrate(x^(3/2)*(b*x+2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [82.7280518371,8.05231268331]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [64.3995612673,28.4266860783]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [39.1803401988,96.7771189027]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [95.5969694792,66.1769613782]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [39.9828299829,94.1262030317]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [88.2886286299,17.6881634681]1/b*(2*b^2*abs(b)/b^2*(2*(((90*b^11/1440/b^14*sqrt(b*x+2)*sqrt(b*x+2)-750*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*x+2)+2445*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*x+2)-4185*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-35/8/b^2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+8*b*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(b*x+2)*sqrt(b*x+2)-78*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*x+2)+198*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+5/2/b/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+8*abs(b)/b^2/b*(2*(1/8*sqrt(b*x+2)*sqrt(b*x+2)-5/8)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-6*b/4/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2)))))","F(-2)",0
535,-2,0,0,0.000000," ","integrate((b*x+2)^(3/2)*x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [82.7280518371,8.05231268331]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [64.3995612673,28.4266860783]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [39.1803401988,96.7771189027]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [95.5969694792,66.1769613782]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [39.9828299829,94.1262030317]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [88.2886286299,17.6881634681]1/b*(2*b^2*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(b*x+2)*sqrt(b*x+2)-78*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*x+2)+198*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+5/2/b/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+8*b*abs(b)/b^2/b*(2*(1/8*sqrt(b*x+2)*sqrt(b*x+2)-5/8)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-6*b/4/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+8*abs(b)/b^2*(1/2*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+2*b/2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2)))))","F(-2)",0
536,-2,0,0,0.000000," ","integrate((b*x+2)^(3/2)/x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]1/abs(b)*b^2/b*(2*(1/4/b*sqrt(b*x+2)*sqrt(b*x+2)+3/4/b)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-3/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))","F(-2)",0
537,-2,0,0,0.000000," ","integrate((b*x+2)^(3/2)/x^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]b/abs(b)*b^2/b*(2*(1/2*sqrt(b*x+2)*sqrt(b*x+2)-3)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)/(b*(b*x+2)-2*b)-6/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))","F(-2)",0
538,-2,0,0,0.000000," ","integrate((b*x+2)^(3/2)/x^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]1/abs(b)*b^2/b*(2*(-12*b^3/9*sqrt(b*x+2)*sqrt(b*x+2)+18*b^3/9)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)/(b*(b*x+2)-2*b)^2-2*b^2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))","F(-2)",0
539,-2,0,0,0.000000," ","integrate(x^(5/2)*(-b*x+2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-18.2719481629,8.05231268331]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-36.6004387327,28.4266860783]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-61.8196598012,96.7771189027]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-5.40303052077,66.1769613782]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-61.0171700171,94.1262030317]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-12.7113713701,17.6881634681]1/b*(-2*b^2*abs(b)/b^2*(2*((((5040*b^19/100800/b^23*sqrt(-b*x+2)*sqrt(-b*x+2)-51660*b^19/100800/b^23)*sqrt(-b*x+2)*sqrt(-b*x+2)+215460*b^19/100800/b^23)*sqrt(-b*x+2)*sqrt(-b*x+2)-469350*b^19/100800/b^23)*sqrt(-b*x+2)*sqrt(-b*x+2)+607950*b^19/100800/b^23)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-63/8/b^3/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))+8*b*abs(b)/b^2*(2*(((-90*b^11/1440/b^14*sqrt(-b*x+2)*sqrt(-b*x+2)+750*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*x+2)-2445*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*x+2)+4185*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-35/8/b^2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))-8*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(-b*x+2)*sqrt(-b*x+2)-78*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*x+2)+198*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-5/2/b/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2)))))","F(-2)",0
540,-2,0,0,0.000000," ","integrate(x^(3/2)*(-b*x+2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-18.2719481629,8.05231268331]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-36.6004387327,28.4266860783]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-61.8196598012,96.7771189027]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-5.40303052077,66.1769613782]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-61.0171700171,94.1262030317]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-12.7113713701,17.6881634681]1/b*(-2*b^2*abs(b)/b^2*(2*(((-90*b^11/1440/b^14*sqrt(-b*x+2)*sqrt(-b*x+2)+750*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*x+2)-2445*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*x+2)+4185*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-35/8/b^2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))+8*b*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(-b*x+2)*sqrt(-b*x+2)-78*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*x+2)+198*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-5/2/b/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))+8*abs(b)/b^2/b*(2*(1/8*sqrt(-b*x+2)*sqrt(-b*x+2)-5/8)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)+6*b/4/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2)))))","F(-2)",0
541,-2,0,0,0.000000," ","integrate((-b*x+2)^(3/2)*x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-18.2719481629,8.05231268331]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-36.6004387327,28.4266860783]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-61.8196598012,96.7771189027]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-5.40303052077,66.1769613782]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-61.0171700171,94.1262030317]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-12.7113713701,17.6881634681]1/b*(-2*b^2*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(-b*x+2)*sqrt(-b*x+2)-78*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*x+2)+198*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-5/2/b/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))-8*b*abs(b)/b^2/b*(2*(1/8*sqrt(-b*x+2)*sqrt(-b*x+2)-5/8)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)+6*b/4/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))-8*abs(b)/b^2*(1/2*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-2*b/2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2)))))","F(-2)",0
542,-2,0,0,0.000000," ","integrate((-b*x+2)^(3/2)/x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]1/abs(b)*b^2/b*(2*(1/4/b*sqrt(-b*x+2)*sqrt(-b*x+2)+3/4/b)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)+3/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))","F(-2)",0
543,-2,0,0,0.000000," ","integrate((-b*x+2)^(3/2)/x^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]-b/abs(b)*b^2/b*(2*(-1/2*sqrt(-b*x+2)*sqrt(-b*x+2)+3)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)/(-b*(-b*x+2)+2*b)+6/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))","F(-2)",0
544,-2,0,0,0.000000," ","integrate((-b*x+2)^(3/2)/x^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]1/abs(b)*b^2/b*(2*(-12*b^3/9*sqrt(-b*x+2)*sqrt(-b*x+2)+18*b^3/9)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)/(-b*(-b*x+2)+2*b)^2+2*b^2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))","F(-2)",0
545,-1,0,0,0.000000," ","integrate(x^(5/2)*(b*x+a)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
546,-1,0,0,0.000000," ","integrate(x^(3/2)*(b*x+a)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
547,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)*x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
548,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)/x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
549,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)/x^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
550,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)/x^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
551,-1,0,0,0.000000," ","integrate(x^(5/2)*(-b*x+a)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
552,-1,0,0,0.000000," ","integrate(x^(3/2)*(-b*x+a)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
553,-1,0,0,0.000000," ","integrate((-b*x+a)^(5/2)*x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
554,-1,0,0,0.000000," ","integrate((-b*x+a)^(5/2)/x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
555,-1,0,0,0.000000," ","integrate((-b*x+a)^(5/2)/x^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
556,-1,0,0,0.000000," ","integrate((-b*x+a)^(5/2)/x^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
557,-2,0,0,0.000000," ","integrate(x^(5/2)*(b*x+2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [83.4865739918,53.112478131]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [38.6973876911,89.629912049]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [6.82230772497,55.0343274642]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [53.4880634798,16.0204098616]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [46.2456374937,66.0382199469]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [94.9264369817,51.8441526662]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [98.7121795234,4.66774101928]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [90.2102860468,38.2197840363]1/b*(2*b^3*abs(b)/b^2*(2*(((((113400*b^29/2721600/b^34*sqrt(b*x+2)*sqrt(b*x+2)-1383480*b^29/2721600/b^34)*sqrt(b*x+2)*sqrt(b*x+2)+7093170*b^29/2721600/b^34)*sqrt(b*x+2)*sqrt(b*x+2)-19737270*b^29/2721600/b^34)*sqrt(b*x+2)*sqrt(b*x+2)+32304825*b^29/2721600/b^34)*sqrt(b*x+2)*sqrt(b*x+2)-33722325*b^29/2721600/b^34)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-231/16/b^4/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+12*b^2*abs(b)/b^2*(2*((((5040*b^19/100800/b^23*sqrt(b*x+2)*sqrt(b*x+2)-51660*b^19/100800/b^23)*sqrt(b*x+2)*sqrt(b*x+2)+215460*b^19/100800/b^23)*sqrt(b*x+2)*sqrt(b*x+2)-469350*b^19/100800/b^23)*sqrt(b*x+2)*sqrt(b*x+2)+607950*b^19/100800/b^23)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+63/8/b^3/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+24*b*abs(b)/b^2*(2*(((90*b^11/1440/b^14*sqrt(b*x+2)*sqrt(b*x+2)-750*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*x+2)+2445*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*x+2)-4185*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-35/8/b^2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+16*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(b*x+2)*sqrt(b*x+2)-78*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*x+2)+198*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+5/2/b/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2)))))","F(-2)",0
558,-2,0,0,0.000000," ","integrate(x^(3/2)*(b*x+2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [83.4865739918,53.112478131]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [38.6973876911,89.629912049]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [6.82230772497,55.0343274642]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [53.4880634798,16.0204098616]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [46.2456374937,66.0382199469]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [94.9264369817,51.8441526662]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [98.7121795234,4.66774101928]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [90.2102860468,38.2197840363]1/b*(2*b^3*abs(b)/b^2*(2*((((5040*b^19/100800/b^23*sqrt(b*x+2)*sqrt(b*x+2)-51660*b^19/100800/b^23)*sqrt(b*x+2)*sqrt(b*x+2)+215460*b^19/100800/b^23)*sqrt(b*x+2)*sqrt(b*x+2)-469350*b^19/100800/b^23)*sqrt(b*x+2)*sqrt(b*x+2)+607950*b^19/100800/b^23)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+63/8/b^3/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+12*b^2*abs(b)/b^2*(2*(((90*b^11/1440/b^14*sqrt(b*x+2)*sqrt(b*x+2)-750*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*x+2)+2445*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*x+2)-4185*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-35/8/b^2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+24*b*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(b*x+2)*sqrt(b*x+2)-78*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*x+2)+198*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+5/2/b/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+16*abs(b)/b^2/b*(2*(1/8*sqrt(b*x+2)*sqrt(b*x+2)-5/8)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-6*b/4/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2)))))","F(-2)",0
559,-2,0,0,0.000000," ","integrate((b*x+2)^(5/2)*x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [83.4865739918,53.112478131]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [38.6973876911,89.629912049]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [6.82230772497,55.0343274642]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [53.4880634798,16.0204098616]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [46.2456374937,66.0382199469]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [94.9264369817,51.8441526662]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [98.7121795234,4.66774101928]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [90.2102860468,38.2197840363]1/b*(2*b^3*abs(b)/b^2*(2*(((90*b^11/1440/b^14*sqrt(b*x+2)*sqrt(b*x+2)-750*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*x+2)+2445*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*x+2)-4185*b^11/1440/b^14)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-35/8/b^2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+12*b^2*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(b*x+2)*sqrt(b*x+2)-78*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*x+2)+198*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+5/2/b/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+24*b*abs(b)/b^2/b*(2*(1/8*sqrt(b*x+2)*sqrt(b*x+2)-5/8)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-6*b/4/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))+16*abs(b)/b^2*(1/2*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+2*b/2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2)))))","F(-2)",0
560,-2,0,0,0.000000," ","integrate((b*x+2)^(5/2)/x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]1/abs(b)*b^2/b*(2*((1/6/b*sqrt(b*x+2)*sqrt(b*x+2)+5/12/b)*sqrt(b*x+2)*sqrt(b*x+2)+5/4/b)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-5/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))","F(-2)",0
561,-2,0,0,0.000000," ","integrate((b*x+2)^(5/2)/x^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]b/abs(b)*b^2/b*(2*((1/4*sqrt(b*x+2)*sqrt(b*x+2)+5/4)*sqrt(b*x+2)*sqrt(b*x+2)-15/2)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)/(b*(b*x+2)-2*b)-15/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))","F(-2)",0
562,-2,0,0,0.000000," ","integrate((b*x+2)^(5/2)/x^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]1/abs(b)*b^2/b*(2*((9*b^4/18/b*sqrt(b*x+2)*sqrt(b*x+2)-120*b^4/18/b)*sqrt(b*x+2)*sqrt(b*x+2)+180*b^4/18/b)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)/(b*(b*x+2)-2*b)^2-10*b^2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))","F(-2)",0
563,-1,0,0,0.000000," ","integrate(x^(5/2)*(-b*x+2)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
564,-2,0,0,0.000000," ","integrate(x^(3/2)*(-b*x+2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-17.5134260082,53.112478131]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-62.3026123089,89.629912049]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-94.177692275,55.0343274642]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-47.5119365202,16.0204098616]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-54.7543625063,66.0382199469]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-6.07356301835,51.8441526662]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-2.28782047657,4.66774101928]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-10.7897139532,38.2197840363]1/b*(2*b^3*abs(b)/b^2*(2*((((5040*b^19/100800/b^23*sqrt(-b*x+2)*sqrt(-b*x+2)-51660*b^19/100800/b^23)*sqrt(-b*x+2)*sqrt(-b*x+2)+215460*b^19/100800/b^23)*sqrt(-b*x+2)*sqrt(-b*x+2)-469350*b^19/100800/b^23)*sqrt(-b*x+2)*sqrt(-b*x+2)+607950*b^19/100800/b^23)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-63/8/b^3/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))-12*b^2*abs(b)/b^2*(2*(((-90*b^11/1440/b^14*sqrt(-b*x+2)*sqrt(-b*x+2)+750*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*x+2)-2445*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*x+2)+4185*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-35/8/b^2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))+24*b*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(-b*x+2)*sqrt(-b*x+2)-78*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*x+2)+198*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-5/2/b/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))+16*abs(b)/b^2/b*(2*(1/8*sqrt(-b*x+2)*sqrt(-b*x+2)-5/8)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)+6*b/4/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2)))))","F(-2)",0
565,-2,0,0,0.000000," ","integrate((-b*x+2)^(5/2)*x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-17.5134260082,53.112478131]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-62.3026123089,89.629912049]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-94.177692275,55.0343274642]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-47.5119365202,16.0204098616]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-54.7543625063,66.0382199469]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-6.07356301835,51.8441526662]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-2.28782047657,4.66774101928]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-10.7897139532,38.2197840363]1/b*(2*b^3*abs(b)/b^2*(2*(((-90*b^11/1440/b^14*sqrt(-b*x+2)*sqrt(-b*x+2)+750*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*x+2)-2445*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*x+2)+4185*b^11/1440/b^14)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-35/8/b^2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))-12*b^2*abs(b)/b^2*(2*((12*b^5/144/b^7*sqrt(-b*x+2)*sqrt(-b*x+2)-78*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*x+2)+198*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-5/2/b/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))-24*b*abs(b)/b^2/b*(2*(1/8*sqrt(-b*x+2)*sqrt(-b*x+2)-5/8)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)+6*b/4/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))-16*abs(b)/b^2*(1/2*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-2*b/2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2)))))","F(-2)",0
566,-2,0,0,0.000000," ","integrate((-b*x+2)^(5/2)/x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]1/abs(b)*b^2/b*(2*((1/6/b*sqrt(-b*x+2)*sqrt(-b*x+2)+5/12/b)*sqrt(-b*x+2)*sqrt(-b*x+2)+5/4/b)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)+5/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))","F(-2)",0
567,-2,0,0,0.000000," ","integrate((-b*x+2)^(5/2)/x^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]-b/abs(b)*b^2/b*(2*((-5/4-1/4*sqrt(-b*x+2)*sqrt(-b*x+2))*sqrt(-b*x+2)*sqrt(-b*x+2)+15/2)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)/(-b*(-b*x+2)+2*b)+15/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))","F(-2)",0
568,-2,0,0,0.000000," ","integrate((-b*x+2)^(5/2)/x^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]1/abs(b)*b^2/b*(2*((9*b^4/18/b*sqrt(-b*x+2)*sqrt(-b*x+2)-120*b^4/18/b)*sqrt(-b*x+2)*sqrt(-b*x+2)+180*b^4/18/b)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)/(-b*(-b*x+2)+2*b)^2+10*b^2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))","F(-2)",0
569,-1,0,0,0.000000," ","integrate(x^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
570,-1,0,0,0.000000," ","integrate(x^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
571,-1,0,0,0.000000," ","integrate(x^(1/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
572,-1,0,0,0.000000," ","integrate(1/x^(1/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
573,1,33,0,2.049939," ","integrate(1/x^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} b^{2}}{\sqrt{{\left(b x + a\right)} b - a b} a {\left| b \right|}}"," ",0,"-2*sqrt(b*x + a)*b^2/(sqrt((b*x + a)*b - a*b)*a*abs(b))","B",0
574,1,50,0,1.902386," ","integrate(1/x^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{2 \, {\left(b x + a\right)} b^{3}}{a^{2}} - \frac{3 \, b^{3}}{a}\right)} \sqrt{b x + a} b}{3 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{3}{2}} {\left| b \right|}}"," ",0,"2/3*(2*(b*x + a)*b^3/a^2 - 3*b^3/a)*sqrt(b*x + a)*b/(((b*x + a)*b - a*b)^(3/2)*abs(b))","A",0
575,1,66,0,1.668814," ","integrate(1/x^(7/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{15 \, b^{5}}{a} + 4 \, {\left(\frac{2 \, {\left(b x + a\right)} b^{5}}{a^{3}} - \frac{5 \, b^{5}}{a^{2}}\right)} {\left(b x + a\right)}\right)} \sqrt{b x + a} b}{15 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{5}{2}} {\left| b \right|}}"," ",0,"-2/15*(15*b^5/a + 4*(2*(b*x + a)*b^5/a^3 - 5*b^5/a^2)*(b*x + a))*sqrt(b*x + a)*b/(((b*x + a)*b - a*b)^(5/2)*abs(b))","A",0
576,1,82,0,1.412311," ","integrate(1/x^(9/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{35 \, b^{7}}{a} - 2 \, {\left(\frac{35 \, b^{7}}{a^{2}} + 4 \, {\left(\frac{2 \, {\left(b x + a\right)} b^{7}}{a^{4}} - \frac{7 \, b^{7}}{a^{3}}\right)} {\left(b x + a\right)}\right)} {\left(b x + a\right)}\right)} \sqrt{b x + a} b}{35 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{7}{2}} {\left| b \right|}}"," ",0,"-2/35*(35*b^7/a - 2*(35*b^7/a^2 + 4*(2*(b*x + a)*b^7/a^4 - 7*b^7/a^3)*(b*x + a))*(b*x + a))*sqrt(b*x + a)*b/(((b*x + a)*b - a*b)^(7/2)*abs(b))","A",0
577,1,131,0,92.142502," ","integrate(x^(5/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{{\left(2 \, \sqrt{{\left(b x + a\right)} b - a b} \sqrt{b x + a} {\left(\frac{2 \, {\left(b x + a\right)}}{b^{3}} - \frac{9 \, a}{b^{3}}\right)} - \frac{32 \, a^{3}}{{\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)} b^{\frac{3}{2}}} - \frac{15 \, a^{2} \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{b^{\frac{5}{2}}}\right)} {\left| b \right|}}{8 \, b^{2}}"," ",0,"1/8*(2*sqrt((b*x + a)*b - a*b)*sqrt(b*x + a)*(2*(b*x + a)/b^3 - 9*a/b^3) - 32*a^3/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)*b^(3/2)) - 15*a^2*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/b^(5/2))*abs(b)/b^2","A",0
578,1,115,0,93.123137," ","integrate(x^(3/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{{\left(\frac{8 \, a^{2} \sqrt{b}}{{\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b} + \frac{3 \, a \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{\sqrt{b}} + \frac{2 \, \sqrt{{\left(b x + a\right)} b - a b} \sqrt{b x + a}}{b}\right)} {\left| b \right|}}{2 \, b^{3}}"," ",0,"1/2*(8*a^2*sqrt(b)/((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b) + 3*a*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/sqrt(b) + 2*sqrt((b*x + a)*b - a*b)*sqrt(b*x + a)/b)*abs(b)/b^3","B",0
579,1,85,0,94.858006," ","integrate(x^(1/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{{\left(\frac{4 \, a \sqrt{b}}{{\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b} + \frac{\log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{\sqrt{b}}\right)} {\left| b \right|}}{b^{2}}"," ",0,"-(4*a*sqrt(b)/((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b) + log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/sqrt(b))*abs(b)/b^2","B",0
580,1,45,0,1.109467," ","integrate(1/(b*x+a)^(3/2)/x^(1/2),x, algorithm=""giac"")","\frac{4 \, b^{\frac{3}{2}}}{{\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)} {\left| b \right|}}"," ",0,"4*b^(3/2)/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)*abs(b))","B",0
581,1,82,0,1.051963," ","integrate(1/x^(3/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{4 \, b^{\frac{5}{2}}}{{\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)} a {\left| b \right|}} - \frac{2 \, \sqrt{b x + a} b^{2}}{\sqrt{{\left(b x + a\right)} b - a b} a^{2} {\left| b \right|}}"," ",0,"-4*b^(5/2)/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)*a*abs(b)) - 2*sqrt(b*x + a)*b^2/(sqrt((b*x + a)*b - a*b)*a^2*abs(b))","B",0
582,1,98,0,1.201084," ","integrate(1/x^(5/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{5 \, {\left(b x + a\right)} b^{2} {\left| b \right|}}{a^{3}} - \frac{6 \, b^{2} {\left| b \right|}}{a^{2}}\right)}}{3 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{3}{2}}} + \frac{4 \, b^{\frac{7}{2}}}{{\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)} a^{2} {\left| b \right|}}"," ",0,"2/3*sqrt(b*x + a)*(5*(b*x + a)*b^2*abs(b)/a^3 - 6*b^2*abs(b)/a^2)/((b*x + a)*b - a*b)^(3/2) + 4*b^(7/2)/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)*a^2*abs(b))","B",0
583,1,121,0,1.212970," ","integrate(1/x^(7/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{4 \, b^{\frac{9}{2}}}{{\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)} a^{3} {\left| b \right|}} - \frac{2 \, {\left(\frac{15 \, b^{6}}{a^{2} {\left| b \right|}} + {\left(b x + a\right)} {\left(\frac{11 \, {\left(b x + a\right)} b^{6}}{a^{4} {\left| b \right|}} - \frac{25 \, b^{6}}{a^{3} {\left| b \right|}}\right)}\right)} \sqrt{b x + a}}{5 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{5}{2}}}"," ",0,"-4*b^(9/2)/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)*a^3*abs(b)) - 2/5*(15*b^6/(a^2*abs(b)) + (b*x + a)*(11*(b*x + a)*b^6/(a^4*abs(b)) - 25*b^6/(a^3*abs(b))))*sqrt(b*x + a)/((b*x + a)*b - a*b)^(5/2)","A",0
584,1,197,0,92.463998," ","integrate(x^(5/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{{\left(\frac{15 \, a \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{b^{\frac{5}{2}}} + \frac{6 \, \sqrt{{\left(b x + a\right)} b - a b} \sqrt{b x + a}}{b^{3}} + \frac{8 \, {\left(9 \, a^{2} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} \sqrt{b} + 12 \, a^{3} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{3}{2}} + 7 \, a^{4} b^{\frac{5}{2}}\right)}}{{\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)}^{3} b^{2}}\right)} {\left| b \right|}}{6 \, b^{2}}"," ",0,"1/6*(15*a*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/b^(5/2) + 6*sqrt((b*x + a)*b - a*b)*sqrt(b*x + a)/b^3 + 8*(9*a^2*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*sqrt(b) + 12*a^3*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(3/2) + 7*a^4*b^(5/2))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*b^2))*abs(b)/b^2","B",0
585,1,165,0,105.594595," ","integrate(x^(3/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{{\left(\frac{3 \, \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{\sqrt{b}} + \frac{8 \, {\left(3 \, a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} \sqrt{b} + 3 \, a^{2} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{3}{2}} + 2 \, a^{3} b^{\frac{5}{2}}\right)}}{{\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)}^{3}}\right)} {\left| b \right|}}{3 \, b^{3}}"," ",0,"-1/3*(3*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/sqrt(b) + 8*(3*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*sqrt(b) + 3*a^2*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(3/2) + 2*a^3*b^(5/2))/((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3)*abs(b)/b^3","B",0
586,1,86,0,1.630885," ","integrate(x^(1/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{4 \, {\left(3 \, {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} \sqrt{b} + a^{2} b^{\frac{5}{2}}\right)} {\left| b \right|}}{3 \, {\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)}^{3} b^{2}}"," ",0,"4/3*(3*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*sqrt(b) + a^2*b^(5/2))*abs(b)/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*b^2)","B",0
587,1,81,0,1.499950," ","integrate(1/(b*x+a)^(5/2)/x^(1/2),x, algorithm=""giac"")","\frac{8 \, {\left(3 \, {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)} b^{\frac{5}{2}}}{3 \, {\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)}^{3} {\left| b \right|}}"," ",0,"8/3*(3*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)*b^(5/2)/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*abs(b))","B",0
588,1,159,0,1.631992," ","integrate(1/x^(3/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} b^{2}}{\sqrt{{\left(b x + a\right)} b - a b} a^{3} {\left| b \right|}} - \frac{4 \, {\left(3 \, {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{5}{2}} + 12 \, a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{7}{2}} + 5 \, a^{2} b^{\frac{9}{2}}\right)}}{3 \, {\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)}^{3} a^{2} {\left| b \right|}}"," ",0,"-2*sqrt(b*x + a)*b^2/(sqrt((b*x + a)*b - a*b)*a^3*abs(b)) - 4/3*(3*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(5/2) + 12*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(7/2) + 5*a^2*b^(9/2))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*a^2*abs(b))","B",0
589,1,175,0,2.237523," ","integrate(1/x^(5/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{8 \, {\left(b x + a\right)} b^{2} {\left| b \right|}}{a^{4}} - \frac{9 \, b^{2} {\left| b \right|}}{a^{3}}\right)}}{3 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{3}{2}}} + \frac{8 \, {\left(3 \, {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{7}{2}} + 9 \, a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{9}{2}} + 4 \, a^{2} b^{\frac{11}{2}}\right)}}{3 \, {\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)}^{3} a^{3} {\left| b \right|}}"," ",0,"2/3*sqrt(b*x + a)*(8*(b*x + a)*b^2*abs(b)/a^4 - 9*b^2*abs(b)/a^3)/((b*x + a)*b - a*b)^(3/2) + 8/3*(3*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(7/2) + 9*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(9/2) + 4*a^2*b^(11/2))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*a^3*abs(b))","B",0
590,-1,0,0,0.000000," ","integrate(x^(5/2)/(-b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
591,-1,0,0,0.000000," ","integrate(x^(3/2)/(-b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
592,-1,0,0,0.000000," ","integrate(x^(1/2)/(-b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
593,-1,0,0,0.000000," ","integrate(1/x^(1/2)/(-b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
594,1,35,0,1.277170," ","integrate(1/x^(3/2)/(-b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{-b x + a} b^{2}}{\sqrt{{\left(b x - a\right)} b + a b} a {\left| b \right|}}"," ",0,"-2*sqrt(-b*x + a)*b^2/(sqrt((b*x - a)*b + a*b)*a*abs(b))","B",0
595,1,54,0,1.453059," ","integrate(1/x^(5/2)/(-b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{2 \, {\left(b x - a\right)} b^{3}}{a^{2}} + \frac{3 \, b^{3}}{a}\right)} \sqrt{-b x + a} b}{3 \, {\left({\left(b x - a\right)} b + a b\right)}^{\frac{3}{2}} {\left| b \right|}}"," ",0,"-2/3*(2*(b*x - a)*b^3/a^2 + 3*b^3/a)*sqrt(-b*x + a)*b/(((b*x - a)*b + a*b)^(3/2)*abs(b))","A",0
596,1,154,0,98.066211," ","integrate(x^(5/2)/(-b*x+a)^(3/2),x, algorithm=""giac"")","\frac{{\left(2 \, \sqrt{{\left(b x - a\right)} b + a b} \sqrt{-b x + a} {\left(\frac{2 \, {\left(b x - a\right)}}{b^{3}} + \frac{9 \, a}{b^{3}}\right)} + \frac{32 \, a^{3}}{{\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b\right)} \sqrt{-b} b} - \frac{15 \, a^{2} \log\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2}\right)}{\sqrt{-b} b^{2}}\right)} {\left| b \right|}}{8 \, b^{2}}"," ",0,"1/8*(2*sqrt((b*x - a)*b + a*b)*sqrt(-b*x + a)*(2*(b*x - a)/b^3 + 9*a/b^3) + 32*a^3/(((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b)*sqrt(-b)*b) - 15*a^2*log((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2)/(sqrt(-b)*b^2))*abs(b)/b^2","B",0
597,1,130,0,111.127031," ","integrate(x^(3/2)/(-b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{{\left(\frac{8 \, a^{2} \sqrt{-b}}{{\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b} + \frac{3 \, a \log\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2}\right)}{\sqrt{-b}} - \frac{2 \, \sqrt{{\left(b x - a\right)} b + a b} \sqrt{-b x + a}}{b}\right)} {\left| b \right|}}{2 \, b^{3}}"," ",0,"-1/2*(8*a^2*sqrt(-b)/((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b) + 3*a*log((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2)/sqrt(-b) - 2*sqrt((b*x - a)*b + a*b)*sqrt(-b*x + a)/b)*abs(b)/b^3","B",0
598,1,98,0,113.038087," ","integrate(x^(1/2)/(-b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{{\left(\frac{4 \, a \sqrt{-b}}{{\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b} + \frac{\log\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2}\right)}{\sqrt{-b}}\right)} {\left| b \right|}}{b^{2}}"," ",0,"-(4*a*sqrt(-b)/((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b) + log((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2)/sqrt(-b))*abs(b)/b^2","B",0
599,1,53,0,1.374299," ","integrate(1/(-b*x+a)^(3/2)/x^(1/2),x, algorithm=""giac"")","-\frac{4 \, \sqrt{-b} b}{{\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b\right)} {\left| b \right|}}"," ",0,"-4*sqrt(-b)*b/(((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b)*abs(b))","B",0
600,1,94,0,1.440550," ","integrate(1/x^(3/2)/(-b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{4 \, \sqrt{-b} b^{2}}{{\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b\right)} a {\left| b \right|}} - \frac{2 \, \sqrt{-b x + a} b^{2}}{\sqrt{{\left(b x - a\right)} b + a b} a^{2} {\left| b \right|}}"," ",0,"-4*sqrt(-b)*b^2/(((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b)*a*abs(b)) - 2*sqrt(-b*x + a)*b^2/(sqrt((b*x - a)*b + a*b)*a^2*abs(b))","B",0
601,1,112,0,1.478422," ","integrate(1/x^(5/2)/(-b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{-b x + a} {\left(\frac{5 \, {\left(b x - a\right)} b^{2} {\left| b \right|}}{a^{3}} + \frac{6 \, b^{2} {\left| b \right|}}{a^{2}}\right)}}{3 \, {\left({\left(b x - a\right)} b + a b\right)}^{\frac{3}{2}}} - \frac{4 \, \sqrt{-b} b^{3}}{{\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b\right)} a^{2} {\left| b \right|}}"," ",0,"-2/3*sqrt(-b*x + a)*(5*(b*x - a)*b^2*abs(b)/a^3 + 6*b^2*abs(b)/a^2)/((b*x - a)*b + a*b)^(3/2) - 4*sqrt(-b)*b^3/(((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b)*a^2*abs(b))","B",0
602,1,221,0,112.517953," ","integrate(x^(5/2)/(-b*x+a)^(5/2),x, algorithm=""giac"")","\frac{{\left(\frac{15 \, a \log\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2}\right)}{\sqrt{-b} b^{2}} - \frac{6 \, \sqrt{{\left(b x - a\right)} b + a b} \sqrt{-b x + a}}{b^{3}} - \frac{8 \, {\left(9 \, a^{2} {\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{4} - 12 \, a^{3} {\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} b + 7 \, a^{4} b^{2}\right)}}{{\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b\right)}^{3} \sqrt{-b} b}\right)} {\left| b \right|}}{6 \, b^{2}}"," ",0,"1/6*(15*a*log((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2)/(sqrt(-b)*b^2) - 6*sqrt((b*x - a)*b + a*b)*sqrt(-b*x + a)/b^3 - 8*(9*a^2*(sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^4 - 12*a^3*(sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2*b + 7*a^4*b^2)/(((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b)^3*sqrt(-b)*b))*abs(b)/b^2","B",0
603,1,194,0,110.077689," ","integrate(x^(3/2)/(-b*x+a)^(5/2),x, algorithm=""giac"")","\frac{{\left(\frac{3 \, \log\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2}\right)}{\sqrt{-b}} + \frac{8 \, {\left(3 \, a {\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{4} \sqrt{-b} - 3 \, a^{2} {\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} \sqrt{-b} b + 2 \, a^{3} \sqrt{-b} b^{2}\right)}}{{\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b\right)}^{3}}\right)} {\left| b \right|}}{3 \, b^{3}}"," ",0,"1/3*(3*log((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2)/sqrt(-b) + 8*(3*a*(sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^4*sqrt(-b) - 3*a^2*(sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2*sqrt(-b)*b + 2*a^3*sqrt(-b)*b^2)/((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b)^3)*abs(b)/b^3","B",0
604,1,102,0,1.633320," ","integrate(x^(1/2)/(-b*x+a)^(5/2),x, algorithm=""giac"")","\frac{4 \, {\left(3 \, {\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{4} \sqrt{-b} + a^{2} \sqrt{-b} b^{2}\right)} {\left| b \right|}}{3 \, {\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b\right)}^{3} b^{2}}"," ",0,"4/3*(3*(sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^4*sqrt(-b) + a^2*sqrt(-b)*b^2)*abs(b)/(((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b)^3*b^2)","B",0
605,1,96,0,1.425674," ","integrate(1/(-b*x+a)^(5/2)/x^(1/2),x, algorithm=""giac"")","\frac{8 \, {\left(3 \, {\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b\right)} \sqrt{-b} b^{2}}{3 \, {\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b\right)}^{3} {\left| b \right|}}"," ",0,"8/3*(3*(sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b)*sqrt(-b)*b^2/(((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b)^3*abs(b))","B",0
606,1,189,0,1.613404," ","integrate(1/x^(3/2)/(-b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{-b x + a} b^{2}}{\sqrt{{\left(b x - a\right)} b + a b} a^{3} {\left| b \right|}} - \frac{4 \, {\left(3 \, {\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{4} \sqrt{-b} b^{2} - 12 \, a {\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} \sqrt{-b} b^{3} + 5 \, a^{2} \sqrt{-b} b^{4}\right)}}{3 \, {\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b\right)}^{3} a^{2} {\left| b \right|}}"," ",0,"-2*sqrt(-b*x + a)*b^2/(sqrt((b*x - a)*b + a*b)*a^3*abs(b)) - 4/3*(3*(sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^4*sqrt(-b)*b^2 - 12*a*(sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2*sqrt(-b)*b^3 + 5*a^2*sqrt(-b)*b^4)/(((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b)^3*a^2*abs(b))","B",0
607,1,207,0,1.696662," ","integrate(1/x^(5/2)/(-b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{-b x + a} {\left(\frac{8 \, {\left(b x - a\right)} b^{2} {\left| b \right|}}{a^{4}} + \frac{9 \, b^{2} {\left| b \right|}}{a^{3}}\right)}}{3 \, {\left({\left(b x - a\right)} b + a b\right)}^{\frac{3}{2}}} - \frac{8 \, {\left(3 \, {\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{4} \sqrt{-b} b^{3} - 9 \, a {\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} \sqrt{-b} b^{4} + 4 \, a^{2} \sqrt{-b} b^{5}\right)}}{3 \, {\left({\left(\sqrt{-b x + a} \sqrt{-b} - \sqrt{{\left(b x - a\right)} b + a b}\right)}^{2} - a b\right)}^{3} a^{3} {\left| b \right|}}"," ",0,"-2/3*sqrt(-b*x + a)*(8*(b*x - a)*b^2*abs(b)/a^4 + 9*b^2*abs(b)/a^3)/((b*x - a)*b + a*b)^(3/2) - 8/3*(3*(sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^4*sqrt(-b)*b^3 - 9*a*(sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2*sqrt(-b)*b^4 + 4*a^2*sqrt(-b)*b^5)/(((sqrt(-b*x + a)*sqrt(-b) - sqrt((b*x - a)*b + a*b))^2 - a*b)^3*a^3*abs(b))","B",0
608,-2,0,0,0.000000," ","integrate(x^(5/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]2*abs(b)/b^2/b*(2*((12*b^5/144/b^7*sqrt(b*x+2)*sqrt(b*x+2)-78*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*x+2)+198*b^5/144/b^7)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+5/2/b/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))","F(-2)",0
609,-2,0,0,0.000000," ","integrate(x^(3/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]2*abs(b)/b^2/b^2*(2*(1/8*sqrt(b*x+2)*sqrt(b*x+2)-5/8)*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)-6*b/4/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))","F(-2)",0
610,-2,0,0,0.000000," ","integrate(x^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]2*abs(b)/b^2/b*(1/2*sqrt(b*x+2)*sqrt(b*(b*x+2)-2*b)+2*b/2/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2))))","F(-2)",0
611,-2,0,0,0.000000," ","integrate(1/x^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,2]%%%}+%%%{28,[1,1]%%%}+%%%{8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{-4,[3,3]%%%}+%%%{4,[3,2]%%%}+%%%{4,[3,1]%%%}+%%%{-4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{4,[1,3]%%%}+%%%{20,[1,2]%%%}+%%%{-128,[1,1]%%%}+%%%{16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{-4,[3,4]%%%}+%%%{12,[3,3]%%%}+%%%{-20,[3,2]%%%}+%%%{20,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{-4,[1,4]%%%}+%%%{20,[1,3]%%%}+%%%{-40,[1,2]%%%}+%%%{48,[1,1]%%%}+%%%{-32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [71.707969239,78.6493344628]-2/abs(b)*b^2/b/sqrt(b)*ln(abs(sqrt(b*(b*x+2)-2*b)-sqrt(b)*sqrt(b*x+2)))","F(-2)",0
612,1,29,0,1.108019," ","integrate(1/x^(3/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{b x + 2} b^{2}}{\sqrt{{\left(b x + 2\right)} b - 2 \, b} {\left| b \right|}}"," ",0,"-sqrt(b*x + 2)*b^2/(sqrt((b*x + 2)*b - 2*b)*abs(b))","B",0
613,1,42,0,1.087321," ","integrate(1/x^(5/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\frac{{\left({\left(b x + 2\right)} b^{3} - 3 \, b^{3}\right)} \sqrt{b x + 2} b}{3 \, {\left({\left(b x + 2\right)} b - 2 \, b\right)}^{\frac{3}{2}} {\left| b \right|}}"," ",0,"1/3*((b*x + 2)*b^3 - 3*b^3)*sqrt(b*x + 2)*b/(((b*x + 2)*b - 2*b)^(3/2)*abs(b))","A",0
614,1,55,0,1.064874," ","integrate(1/x^(7/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","-\frac{{\left(15 \, b^{5} + 2 \, {\left({\left(b x + 2\right)} b^{5} - 5 \, b^{5}\right)} {\left(b x + 2\right)}\right)} \sqrt{b x + 2} b}{15 \, {\left({\left(b x + 2\right)} b - 2 \, b\right)}^{\frac{5}{2}} {\left| b \right|}}"," ",0,"-1/15*(15*b^5 + 2*((b*x + 2)*b^5 - 5*b^5)*(b*x + 2))*sqrt(b*x + 2)*b/(((b*x + 2)*b - 2*b)^(5/2)*abs(b))","A",0
615,1,68,0,1.025055," ","integrate(1/x^(9/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","-\frac{{\left(35 \, b^{7} - {\left(35 \, b^{7} + 2 \, {\left({\left(b x + 2\right)} b^{7} - 7 \, b^{7}\right)} {\left(b x + 2\right)}\right)} {\left(b x + 2\right)}\right)} \sqrt{b x + 2} b}{35 \, {\left({\left(b x + 2\right)} b - 2 \, b\right)}^{\frac{7}{2}} {\left| b \right|}}"," ",0,"-1/35*(35*b^7 - (35*b^7 + 2*((b*x + 2)*b^7 - 7*b^7)*(b*x + 2))*(b*x + 2))*sqrt(b*x + 2)*b/(((b*x + 2)*b - 2*b)^(7/2)*abs(b))","A",0
616,1,119,0,11.124861," ","integrate(x^(5/2)/(b*x+2)^(3/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{{\left(b x + 2\right)} b - 2 \, b} \sqrt{b x + 2} {\left(\frac{b x + 2}{b^{3}} - \frac{9}{b^{3}}\right)} - \frac{15 \, \log\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2}\right)}{b^{\frac{5}{2}}} - \frac{64}{{\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b\right)} b^{\frac{3}{2}}}\right)} {\left| b \right|}}{2 \, b^{2}}"," ",0,"1/2*(sqrt((b*x + 2)*b - 2*b)*sqrt(b*x + 2)*((b*x + 2)/b^3 - 9/b^3) - 15*log((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2)/b^(5/2) - 64/(((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b)*b^(3/2)))*abs(b)/b^2","A",0
617,1,106,0,10.155270," ","integrate(x^(3/2)/(b*x+2)^(3/2),x, algorithm=""giac"")","\frac{{\left(\frac{3 \, \log\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2}\right)}{\sqrt{b}} + \frac{\sqrt{{\left(b x + 2\right)} b - 2 \, b} \sqrt{b x + 2}}{b} + \frac{16 \, \sqrt{b}}{{\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b}\right)} {\left| b \right|}}{b^{3}}"," ",0,"(3*log((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2)/sqrt(b) + sqrt((b*x + 2)*b - 2*b)*sqrt(b*x + 2)/b + 16*sqrt(b)/((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b))*abs(b)/b^3","B",0
618,1,82,0,10.609671," ","integrate(x^(1/2)/(b*x+2)^(3/2),x, algorithm=""giac"")","-\frac{{\left(\frac{\log\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2}\right)}{\sqrt{b}} + \frac{8 \, \sqrt{b}}{{\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b}\right)} {\left| b \right|}}{b^{2}}"," ",0,"-(log((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2)/sqrt(b) + 8*sqrt(b)/((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b))*abs(b)/b^2","B",0
619,1,44,0,1.216469," ","integrate(1/(b*x+2)^(3/2)/x^(1/2),x, algorithm=""giac"")","\frac{4 \, b^{\frac{3}{2}}}{{\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b\right)} {\left| b \right|}}"," ",0,"4*b^(3/2)/(((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b)*abs(b))","B",0
620,1,74,0,1.123021," ","integrate(1/x^(3/2)/(b*x+2)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{b x + 2} b^{2}}{2 \, \sqrt{{\left(b x + 2\right)} b - 2 \, b} {\left| b \right|}} - \frac{2 \, b^{\frac{5}{2}}}{{\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b\right)} {\left| b \right|}}"," ",0,"-1/2*sqrt(b*x + 2)*b^2/(sqrt((b*x + 2)*b - 2*b)*abs(b)) - 2*b^(5/2)/(((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b)*abs(b))","B",0
621,1,86,0,1.231714," ","integrate(1/x^(5/2)/(b*x+2)^(3/2),x, algorithm=""giac"")","\frac{b^{\frac{7}{2}}}{{\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b\right)} {\left| b \right|}} + \frac{{\left(5 \, {\left(b x + 2\right)} b^{2} {\left| b \right|} - 12 \, b^{2} {\left| b \right|}\right)} \sqrt{b x + 2}}{12 \, {\left({\left(b x + 2\right)} b - 2 \, b\right)}^{\frac{3}{2}}}"," ",0,"b^(7/2)/(((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b)*abs(b)) + 1/12*(5*(b*x + 2)*b^2*abs(b) - 12*b^2*abs(b))*sqrt(b*x + 2)/((b*x + 2)*b - 2*b)^(3/2)","B",0
622,1,107,0,1.109894," ","integrate(1/x^(7/2)/(b*x+2)^(3/2),x, algorithm=""giac"")","-\frac{b^{\frac{9}{2}}}{2 \, {\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b\right)} {\left| b \right|}} - \frac{{\left(\frac{60 \, b^{6}}{{\left| b \right|}} + {\left(\frac{11 \, {\left(b x + 2\right)} b^{6}}{{\left| b \right|}} - \frac{50 \, b^{6}}{{\left| b \right|}}\right)} {\left(b x + 2\right)}\right)} \sqrt{b x + 2}}{40 \, {\left({\left(b x + 2\right)} b - 2 \, b\right)}^{\frac{5}{2}}}"," ",0,"-1/2*b^(9/2)/(((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b)*abs(b)) - 1/40*(60*b^6/abs(b) + (11*(b*x + 2)*b^6/abs(b) - 50*b^6/abs(b))*(b*x + 2))*sqrt(b*x + 2)/((b*x + 2)*b - 2*b)^(5/2)","B",0
623,1,182,0,10.823109," ","integrate(x^(5/2)/(b*x+2)^(5/2),x, algorithm=""giac"")","\frac{{\left(\frac{15 \, \log\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2}\right)}{b^{\frac{5}{2}}} + \frac{3 \, \sqrt{{\left(b x + 2\right)} b - 2 \, b} \sqrt{b x + 2}}{b^{3}} + \frac{16 \, {\left(9 \, {\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{4} \sqrt{b} + 24 \, {\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} b^{\frac{3}{2}} + 28 \, b^{\frac{5}{2}}\right)}}{{\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b\right)}^{3} b^{2}}\right)} {\left| b \right|}}{3 \, b^{2}}"," ",0,"1/3*(15*log((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2)/b^(5/2) + 3*sqrt((b*x + 2)*b - 2*b)*sqrt(b*x + 2)/b^3 + 16*(9*(sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^4*sqrt(b) + 24*(sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2*b^(3/2) + 28*b^(5/2))/(((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b)^3*b^2))*abs(b)/b^2","B",0
624,1,154,0,10.772192," ","integrate(x^(3/2)/(b*x+2)^(5/2),x, algorithm=""giac"")","-\frac{{\left(\frac{3 \, \log\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2}\right)}{\sqrt{b}} + \frac{16 \, {\left(3 \, {\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{4} \sqrt{b} + 6 \, {\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} b^{\frac{3}{2}} + 8 \, b^{\frac{5}{2}}\right)}}{{\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b\right)}^{3}}\right)} {\left| b \right|}}{3 \, b^{3}}"," ",0,"-1/3*(3*log((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2)/sqrt(b) + 16*(3*(sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^4*sqrt(b) + 6*(sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2*b^(3/2) + 8*b^(5/2))/((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b)^3)*abs(b)/b^3","B",0
625,1,82,0,1.223931," ","integrate(x^(1/2)/(b*x+2)^(5/2),x, algorithm=""giac"")","\frac{4 \, {\left(3 \, {\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{4} \sqrt{b} + 4 \, b^{\frac{5}{2}}\right)} {\left| b \right|}}{3 \, {\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b\right)}^{3} b^{2}}"," ",0,"4/3*(3*(sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^4*sqrt(b) + 4*b^(5/2))*abs(b)/(((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b)^3*b^2)","B",0
626,1,79,0,1.215255," ","integrate(1/(b*x+2)^(5/2)/x^(1/2),x, algorithm=""giac"")","\frac{8 \, {\left(3 \, {\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b\right)} b^{\frac{5}{2}}}{3 \, {\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b\right)}^{3} {\left| b \right|}}"," ",0,"8/3*(3*(sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b)*b^(5/2)/(((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b)^3*abs(b))","B",0
627,1,145,0,1.361986," ","integrate(1/x^(3/2)/(b*x+2)^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{b x + 2} b^{2}}{4 \, \sqrt{{\left(b x + 2\right)} b - 2 \, b} {\left| b \right|}} - \frac{3 \, {\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{4} b^{\frac{5}{2}} + 24 \, {\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} b^{\frac{7}{2}} + 20 \, b^{\frac{9}{2}}}{3 \, {\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b\right)}^{3} {\left| b \right|}}"," ",0,"-1/4*sqrt(b*x + 2)*b^2/(sqrt((b*x + 2)*b - 2*b)*abs(b)) - 1/3*(3*(sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^4*b^(5/2) + 24*(sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2*b^(7/2) + 20*b^(9/2))/(((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b)^3*abs(b))","B",0
628,1,158,0,1.272290," ","integrate(1/x^(5/2)/(b*x+2)^(5/2),x, algorithm=""giac"")","\frac{{\left(4 \, {\left(b x + 2\right)} b^{2} {\left| b \right|} - 9 \, b^{2} {\left| b \right|}\right)} \sqrt{b x + 2}}{12 \, {\left({\left(b x + 2\right)} b - 2 \, b\right)}^{\frac{3}{2}}} + \frac{3 \, {\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{4} b^{\frac{7}{2}} + 18 \, {\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} b^{\frac{9}{2}} + 16 \, b^{\frac{11}{2}}}{3 \, {\left({\left(\sqrt{b x + 2} \sqrt{b} - \sqrt{{\left(b x + 2\right)} b - 2 \, b}\right)}^{2} + 2 \, b\right)}^{3} {\left| b \right|}}"," ",0,"1/12*(4*(b*x + 2)*b^2*abs(b) - 9*b^2*abs(b))*sqrt(b*x + 2)/((b*x + 2)*b - 2*b)^(3/2) + 1/3*(3*(sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^4*b^(7/2) + 18*(sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2*b^(9/2) + 16*b^(11/2))/(((sqrt(b*x + 2)*sqrt(b) - sqrt((b*x + 2)*b - 2*b))^2 + 2*b)^3*abs(b))","B",0
629,-2,0,0,0.000000," ","integrate(x^(5/2)/(-b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]-2*abs(b)/b^2/b*(2*((12*b^5/144/b^7*sqrt(-b*x+2)*sqrt(-b*x+2)-78*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*x+2)+198*b^5/144/b^7)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-5/2/b/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))","F(-2)",0
630,-2,0,0,0.000000," ","integrate(x^(3/2)/(-b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]2*abs(b)/b^2/b^2*(2*(1/8*sqrt(-b*x+2)*sqrt(-b*x+2)-5/8)*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)+6*b/4/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))","F(-2)",0
631,-2,0,0,0.000000," ","integrate(x^(1/2)/(-b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]-2*abs(b)/b^2/b*(1/2*sqrt(-b*x+2)*sqrt(-b*(-b*x+2)+2*b)-2*b/2/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2))))","F(-2)",0
632,-2,0,0,0.000000," ","integrate(1/x^(1/2)/(-b*x+2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-8,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-28,[1,1]%%%}+%%%{-8,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{8,[0,1]%%%}+%%%{24,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-64,[2,2]%%%}+%%%{20,[2,1]%%%}+%%%{8,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-20,[1,2]%%%}+%%%{128,[1,1]%%%}+%%%{-16,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{8,[0,2]%%%}+%%%{16,[0,1]%%%}+%%%{-32,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-12,[3,3]%%%}+%%%{20,[3,2]%%%}+%%%{-20,[3,1]%%%}+%%%{8,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-20,[2,3]%%%}+%%%{46,[2,2]%%%}+%%%{-40,[2,1]%%%}+%%%{24,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-20,[1,3]%%%}+%%%{40,[1,2]%%%}+%%%{-48,[1,1]%%%}+%%%{32,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-8,[0,3]%%%}+%%%{24,[0,2]%%%}+%%%{-32,[0,1]%%%}+%%%{16,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]2/abs(b)*b^2/b/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+2)+2*b)-sqrt(-b)*sqrt(-b*x+2)))","F(-2)",0
633,1,30,0,1.282715," ","integrate(1/x^(3/2)/(-b*x+2)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{-b x + 2} b^{2}}{\sqrt{{\left(b x - 2\right)} b + 2 \, b} {\left| b \right|}}"," ",0,"-sqrt(-b*x + 2)*b^2/(sqrt((b*x - 2)*b + 2*b)*abs(b))","B",0
634,1,43,0,1.116709," ","integrate(1/x^(5/2)/(-b*x+2)^(1/2),x, algorithm=""giac"")","-\frac{{\left({\left(b x - 2\right)} b^{3} + 3 \, b^{3}\right)} \sqrt{-b x + 2} b}{3 \, {\left({\left(b x - 2\right)} b + 2 \, b\right)}^{\frac{3}{2}} {\left| b \right|}}"," ",0,"-1/3*((b*x - 2)*b^3 + 3*b^3)*sqrt(-b*x + 2)*b/(((b*x - 2)*b + 2*b)^(3/2)*abs(b))","A",0
635,1,136,0,10.853448," ","integrate(x^(5/2)/(-b*x+2)^(3/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{{\left(b x - 2\right)} b + 2 \, b} \sqrt{-b x + 2} {\left(\frac{b x - 2}{b^{3}} + \frac{9}{b^{3}}\right)} - \frac{15 \, \log\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2}\right)}{\sqrt{-b} b^{2}} + \frac{64}{{\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b\right)} \sqrt{-b} b}\right)} {\left| b \right|}}{2 \, b^{2}}"," ",0,"1/2*(sqrt((b*x - 2)*b + 2*b)*sqrt(-b*x + 2)*((b*x - 2)/b^3 + 9/b^3) - 15*log((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2)/(sqrt(-b)*b^2) + 64/(((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b)*sqrt(-b)*b))*abs(b)/b^2","B",0
636,1,119,0,10.407102," ","integrate(x^(3/2)/(-b*x+2)^(3/2),x, algorithm=""giac"")","-\frac{{\left(\frac{3 \, \log\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2}\right)}{\sqrt{-b}} - \frac{\sqrt{{\left(b x - 2\right)} b + 2 \, b} \sqrt{-b x + 2}}{b} + \frac{16 \, \sqrt{-b}}{{\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b}\right)} {\left| b \right|}}{b^{3}}"," ",0,"-(3*log((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2)/sqrt(-b) - sqrt((b*x - 2)*b + 2*b)*sqrt(-b*x + 2)/b + 16*sqrt(-b)/((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b))*abs(b)/b^3","B",0
637,1,92,0,10.062664," ","integrate(x^(1/2)/(-b*x+2)^(3/2),x, algorithm=""giac"")","-\frac{{\left(\frac{\log\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2}\right)}{\sqrt{-b}} + \frac{8 \, \sqrt{-b}}{{\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b}\right)} {\left| b \right|}}{b^{2}}"," ",0,"-(log((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2)/sqrt(-b) + 8*sqrt(-b)/((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b))*abs(b)/b^2","B",0
638,1,50,0,1.025949," ","integrate(1/(-b*x+2)^(3/2)/x^(1/2),x, algorithm=""giac"")","-\frac{4 \, \sqrt{-b} b}{{\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b\right)} {\left| b \right|}}"," ",0,"-4*sqrt(-b)*b/(((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b)*abs(b))","B",0
639,1,83,0,1.086085," ","integrate(1/x^(3/2)/(-b*x+2)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{-b x + 2} b^{2}}{2 \, \sqrt{{\left(b x - 2\right)} b + 2 \, b} {\left| b \right|}} - \frac{2 \, \sqrt{-b} b^{2}}{{\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b\right)} {\left| b \right|}}"," ",0,"-1/2*sqrt(-b*x + 2)*b^2/(sqrt((b*x - 2)*b + 2*b)*abs(b)) - 2*sqrt(-b)*b^2/(((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b)*abs(b))","B",0
640,1,96,0,1.168272," ","integrate(1/x^(5/2)/(-b*x+2)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{-b} b^{3}}{{\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b\right)} {\left| b \right|}} - \frac{{\left(5 \, {\left(b x - 2\right)} b^{2} {\left| b \right|} + 12 \, b^{2} {\left| b \right|}\right)} \sqrt{-b x + 2}}{12 \, {\left({\left(b x - 2\right)} b + 2 \, b\right)}^{\frac{3}{2}}}"," ",0,"-sqrt(-b)*b^3/(((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b)*abs(b)) - 1/12*(5*(b*x - 2)*b^2*abs(b) + 12*b^2*abs(b))*sqrt(-b*x + 2)/((b*x - 2)*b + 2*b)^(3/2)","B",0
641,1,200,0,10.724164," ","integrate(x^(5/2)/(-b*x+2)^(5/2),x, algorithm=""giac"")","\frac{{\left(\frac{15 \, \log\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2}\right)}{\sqrt{-b} b^{2}} - \frac{3 \, \sqrt{{\left(b x - 2\right)} b + 2 \, b} \sqrt{-b x + 2}}{b^{3}} - \frac{16 \, {\left(9 \, {\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{4} - 24 \, {\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} b + 28 \, b^{2}\right)}}{{\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b\right)}^{3} \sqrt{-b} b}\right)} {\left| b \right|}}{3 \, b^{2}}"," ",0,"1/3*(15*log((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2)/(sqrt(-b)*b^2) - 3*sqrt((b*x - 2)*b + 2*b)*sqrt(-b*x + 2)/b^3 - 16*(9*(sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^4 - 24*(sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2*b + 28*b^2)/(((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b)^3*sqrt(-b)*b))*abs(b)/b^2","B",0
642,1,178,0,10.628293," ","integrate(x^(3/2)/(-b*x+2)^(5/2),x, algorithm=""giac"")","\frac{{\left(\frac{3 \, \log\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2}\right)}{\sqrt{-b}} + \frac{16 \, {\left(3 \, {\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{4} \sqrt{-b} - 6 \, {\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} \sqrt{-b} b + 8 \, \sqrt{-b} b^{2}\right)}}{{\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b\right)}^{3}}\right)} {\left| b \right|}}{3 \, b^{3}}"," ",0,"1/3*(3*log((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2)/sqrt(-b) + 16*(3*(sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^4*sqrt(-b) - 6*(sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2*sqrt(-b)*b + 8*sqrt(-b)*b^2)/((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b)^3)*abs(b)/b^3","B",0
643,1,95,0,1.252056," ","integrate(x^(1/2)/(-b*x+2)^(5/2),x, algorithm=""giac"")","\frac{4 \, {\left(3 \, {\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{4} \sqrt{-b} + 4 \, \sqrt{-b} b^{2}\right)} {\left| b \right|}}{3 \, {\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b\right)}^{3} b^{2}}"," ",0,"4/3*(3*(sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^4*sqrt(-b) + 4*sqrt(-b)*b^2)*abs(b)/(((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b)^3*b^2)","B",0
644,1,90,0,1.099783," ","integrate(1/(-b*x+2)^(5/2)/x^(1/2),x, algorithm=""giac"")","\frac{8 \, {\left(3 \, {\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b\right)} \sqrt{-b} b^{2}}{3 \, {\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b\right)}^{3} {\left| b \right|}}"," ",0,"8/3*(3*(sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b)*sqrt(-b)*b^2/(((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b)^3*abs(b))","B",0
645,1,170,0,1.121737," ","integrate(1/x^(3/2)/(-b*x+2)^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{-b x + 2} b^{2}}{4 \, \sqrt{{\left(b x - 2\right)} b + 2 \, b} {\left| b \right|}} - \frac{3 \, {\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{4} \sqrt{-b} b^{2} - 24 \, {\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} \sqrt{-b} b^{3} + 20 \, \sqrt{-b} b^{4}}{3 \, {\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b\right)}^{3} {\left| b \right|}}"," ",0,"-1/4*sqrt(-b*x + 2)*b^2/(sqrt((b*x - 2)*b + 2*b)*abs(b)) - 1/3*(3*(sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^4*sqrt(-b)*b^2 - 24*(sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2*sqrt(-b)*b^3 + 20*sqrt(-b)*b^4)/(((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b)^3*abs(b))","B",0
646,1,183,0,1.250490," ","integrate(1/x^(5/2)/(-b*x+2)^(5/2),x, algorithm=""giac"")","-\frac{{\left(4 \, {\left(b x - 2\right)} b^{2} {\left| b \right|} + 9 \, b^{2} {\left| b \right|}\right)} \sqrt{-b x + 2}}{12 \, {\left({\left(b x - 2\right)} b + 2 \, b\right)}^{\frac{3}{2}}} - \frac{3 \, {\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{4} \sqrt{-b} b^{3} - 18 \, {\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} \sqrt{-b} b^{4} + 16 \, \sqrt{-b} b^{5}}{3 \, {\left({\left(\sqrt{-b x + 2} \sqrt{-b} - \sqrt{{\left(b x - 2\right)} b + 2 \, b}\right)}^{2} - 2 \, b\right)}^{3} {\left| b \right|}}"," ",0,"-1/12*(4*(b*x - 2)*b^2*abs(b) + 9*b^2*abs(b))*sqrt(-b*x + 2)/((b*x - 2)*b + 2*b)^(3/2) - 1/3*(3*(sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^4*sqrt(-b)*b^3 - 18*(sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2*sqrt(-b)*b^4 + 16*sqrt(-b)*b^5)/(((sqrt(-b*x + 2)*sqrt(-b) - sqrt((b*x - 2)*b + 2*b))^2 - 2*b)^3*abs(b))","B",0
647,1,17,0,1.174240," ","integrate(x^(1/2)/(1-x)^(1/2),x, algorithm=""giac"")","-\sqrt{x} \sqrt{-x + 1} + \arcsin\left(\sqrt{x}\right)"," ",0,"-sqrt(x)*sqrt(-x + 1) + arcsin(sqrt(x))","A",0
648,1,6,0,1.094562," ","integrate(1/(1-x)^(1/2)/x^(1/2),x, algorithm=""giac"")","2 \, \arcsin\left(\sqrt{x}\right)"," ",0,"2*arcsin(sqrt(x))","A",0
649,-2,0,0,0.000000," ","integrate(1/x^(1/2)/(-b*x+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-16,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-12,[1,2]%%%}+%%%{52,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-8,[3,3]%%%}+%%%{8,[3,2]%%%}+%%%{-8,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-8,[1,3]%%%}+%%%{8,[1,2]%%%}+%%%{-8,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [-15.6438432182,61.7937478349]Warning, choosing root of [1,0,%%%{4,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{6,[2,2]%%%}+%%%{4,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{-4,[1,2]%%%}+%%%{-16,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{6,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{6,[0,0]%%%},0,%%%{4,[3,3]%%%}+%%%{-4,[3,2]%%%}+%%%{-4,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{4,[2,3]%%%}+%%%{-52,[2,2]%%%}+%%%{12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{-4,[1,3]%%%}+%%%{-12,[1,2]%%%}+%%%{52,[1,1]%%%}+%%%{-4,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,2]%%%}+%%%{4,[0,1]%%%}+%%%{-4,[0,0]%%%},0,%%%{1,[4,4]%%%}+%%%{-4,[4,3]%%%}+%%%{6,[4,2]%%%}+%%%{-4,[4,1]%%%}+%%%{1,[4,0]%%%}+%%%{4,[3,4]%%%}+%%%{-8,[3,3]%%%}+%%%{8,[3,2]%%%}+%%%{-8,[3,1]%%%}+%%%{4,[3,0]%%%}+%%%{6,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{20,[2,2]%%%}+%%%{-8,[2,1]%%%}+%%%{6,[2,0]%%%}+%%%{4,[1,4]%%%}+%%%{-8,[1,3]%%%}+%%%{8,[1,2]%%%}+%%%{-8,[1,1]%%%}+%%%{4,[1,0]%%%}+%%%{1,[0,4]%%%}+%%%{-4,[0,3]%%%}+%%%{6,[0,2]%%%}+%%%{-4,[0,1]%%%}+%%%{1,[0,0]%%%}] at parameters values [-29.292030761,78.6493344628]2/abs(b)*b^2/b/sqrt(-b)*ln(abs(sqrt(-b*(-b*x+1)+b)-sqrt(-b)*sqrt(-b*x+1)))","F(-2)",0
650,1,13,0,0.976594," ","integrate(x^(5/3)*(b*x+a),x, algorithm=""giac"")","\frac{3}{11} \, b x^{\frac{11}{3}} + \frac{3}{8} \, a x^{\frac{8}{3}}"," ",0,"3/11*b*x^(11/3) + 3/8*a*x^(8/3)","A",0
651,1,13,0,1.044522," ","integrate(x^(4/3)*(b*x+a),x, algorithm=""giac"")","\frac{3}{10} \, b x^{\frac{10}{3}} + \frac{3}{7} \, a x^{\frac{7}{3}}"," ",0,"3/10*b*x^(10/3) + 3/7*a*x^(7/3)","A",0
652,1,13,0,0.988032," ","integrate(x^(2/3)*(b*x+a),x, algorithm=""giac"")","\frac{3}{8} \, b x^{\frac{8}{3}} + \frac{3}{5} \, a x^{\frac{5}{3}}"," ",0,"3/8*b*x^(8/3) + 3/5*a*x^(5/3)","A",0
653,1,13,0,1.027400," ","integrate(x^(1/3)*(b*x+a),x, algorithm=""giac"")","\frac{3}{7} \, b x^{\frac{7}{3}} + \frac{3}{4} \, a x^{\frac{4}{3}}"," ",0,"3/7*b*x^(7/3) + 3/4*a*x^(4/3)","A",0
654,1,13,0,1.120766," ","integrate((b*x+a)/x^(1/3),x, algorithm=""giac"")","\frac{3}{5} \, b x^{\frac{5}{3}} + \frac{3}{2} \, a x^{\frac{2}{3}}"," ",0,"3/5*b*x^(5/3) + 3/2*a*x^(2/3)","A",0
655,1,13,0,1.116137," ","integrate((b*x+a)/x^(2/3),x, algorithm=""giac"")","\frac{3}{4} \, b x^{\frac{4}{3}} + 3 \, a x^{\frac{1}{3}}"," ",0,"3/4*b*x^(4/3) + 3*a*x^(1/3)","A",0
656,1,13,0,1.126164," ","integrate((b*x+a)/x^(4/3),x, algorithm=""giac"")","\frac{3}{2} \, b x^{\frac{2}{3}} - \frac{3 \, a}{x^{\frac{1}{3}}}"," ",0,"3/2*b*x^(2/3) - 3*a/x^(1/3)","A",0
657,1,13,0,1.101244," ","integrate((b*x+a)/x^(5/3),x, algorithm=""giac"")","3 \, b x^{\frac{1}{3}} - \frac{3 \, a}{2 \, x^{\frac{2}{3}}}"," ",0,"3*b*x^(1/3) - 3/2*a/x^(2/3)","A",0
658,1,24,0,1.043620," ","integrate(x^(5/3)*(b*x+a)^2,x, algorithm=""giac"")","\frac{3}{14} \, b^{2} x^{\frac{14}{3}} + \frac{6}{11} \, a b x^{\frac{11}{3}} + \frac{3}{8} \, a^{2} x^{\frac{8}{3}}"," ",0,"3/14*b^2*x^(14/3) + 6/11*a*b*x^(11/3) + 3/8*a^2*x^(8/3)","A",0
659,1,24,0,1.058713," ","integrate(x^(4/3)*(b*x+a)^2,x, algorithm=""giac"")","\frac{3}{13} \, b^{2} x^{\frac{13}{3}} + \frac{3}{5} \, a b x^{\frac{10}{3}} + \frac{3}{7} \, a^{2} x^{\frac{7}{3}}"," ",0,"3/13*b^2*x^(13/3) + 3/5*a*b*x^(10/3) + 3/7*a^2*x^(7/3)","A",0
660,1,24,0,1.050097," ","integrate(x^(2/3)*(b*x+a)^2,x, algorithm=""giac"")","\frac{3}{11} \, b^{2} x^{\frac{11}{3}} + \frac{3}{4} \, a b x^{\frac{8}{3}} + \frac{3}{5} \, a^{2} x^{\frac{5}{3}}"," ",0,"3/11*b^2*x^(11/3) + 3/4*a*b*x^(8/3) + 3/5*a^2*x^(5/3)","A",0
661,1,24,0,1.035833," ","integrate(x^(1/3)*(b*x+a)^2,x, algorithm=""giac"")","\frac{3}{10} \, b^{2} x^{\frac{10}{3}} + \frac{6}{7} \, a b x^{\frac{7}{3}} + \frac{3}{4} \, a^{2} x^{\frac{4}{3}}"," ",0,"3/10*b^2*x^(10/3) + 6/7*a*b*x^(7/3) + 3/4*a^2*x^(4/3)","A",0
662,1,24,0,1.105906," ","integrate((b*x+a)^2/x^(1/3),x, algorithm=""giac"")","\frac{3}{8} \, b^{2} x^{\frac{8}{3}} + \frac{6}{5} \, a b x^{\frac{5}{3}} + \frac{3}{2} \, a^{2} x^{\frac{2}{3}}"," ",0,"3/8*b^2*x^(8/3) + 6/5*a*b*x^(5/3) + 3/2*a^2*x^(2/3)","A",0
663,1,24,0,0.921399," ","integrate((b*x+a)^2/x^(2/3),x, algorithm=""giac"")","\frac{3}{7} \, b^{2} x^{\frac{7}{3}} + \frac{3}{2} \, a b x^{\frac{4}{3}} + 3 \, a^{2} x^{\frac{1}{3}}"," ",0,"3/7*b^2*x^(7/3) + 3/2*a*b*x^(4/3) + 3*a^2*x^(1/3)","A",0
664,1,24,0,1.174710," ","integrate((b*x+a)^2/x^(4/3),x, algorithm=""giac"")","\frac{3}{5} \, b^{2} x^{\frac{5}{3}} + 3 \, a b x^{\frac{2}{3}} - \frac{3 \, a^{2}}{x^{\frac{1}{3}}}"," ",0,"3/5*b^2*x^(5/3) + 3*a*b*x^(2/3) - 3*a^2/x^(1/3)","A",0
665,1,24,0,1.221413," ","integrate((b*x+a)^2/x^(5/3),x, algorithm=""giac"")","\frac{3}{4} \, b^{2} x^{\frac{4}{3}} + 6 \, a b x^{\frac{1}{3}} - \frac{3 \, a^{2}}{2 \, x^{\frac{2}{3}}}"," ",0,"3/4*b^2*x^(4/3) + 6*a*b*x^(1/3) - 3/2*a^2/x^(2/3)","A",0
666,1,35,0,1.059695," ","integrate(x^(5/3)*(b*x+a)^3,x, algorithm=""giac"")","\frac{3}{17} \, b^{3} x^{\frac{17}{3}} + \frac{9}{14} \, a b^{2} x^{\frac{14}{3}} + \frac{9}{11} \, a^{2} b x^{\frac{11}{3}} + \frac{3}{8} \, a^{3} x^{\frac{8}{3}}"," ",0,"3/17*b^3*x^(17/3) + 9/14*a*b^2*x^(14/3) + 9/11*a^2*b*x^(11/3) + 3/8*a^3*x^(8/3)","A",0
667,1,35,0,1.061194," ","integrate(x^(4/3)*(b*x+a)^3,x, algorithm=""giac"")","\frac{3}{16} \, b^{3} x^{\frac{16}{3}} + \frac{9}{13} \, a b^{2} x^{\frac{13}{3}} + \frac{9}{10} \, a^{2} b x^{\frac{10}{3}} + \frac{3}{7} \, a^{3} x^{\frac{7}{3}}"," ",0,"3/16*b^3*x^(16/3) + 9/13*a*b^2*x^(13/3) + 9/10*a^2*b*x^(10/3) + 3/7*a^3*x^(7/3)","A",0
668,1,35,0,1.066364," ","integrate(x^(2/3)*(b*x+a)^3,x, algorithm=""giac"")","\frac{3}{14} \, b^{3} x^{\frac{14}{3}} + \frac{9}{11} \, a b^{2} x^{\frac{11}{3}} + \frac{9}{8} \, a^{2} b x^{\frac{8}{3}} + \frac{3}{5} \, a^{3} x^{\frac{5}{3}}"," ",0,"3/14*b^3*x^(14/3) + 9/11*a*b^2*x^(11/3) + 9/8*a^2*b*x^(8/3) + 3/5*a^3*x^(5/3)","A",0
669,1,35,0,1.160945," ","integrate(x^(1/3)*(b*x+a)^3,x, algorithm=""giac"")","\frac{3}{13} \, b^{3} x^{\frac{13}{3}} + \frac{9}{10} \, a b^{2} x^{\frac{10}{3}} + \frac{9}{7} \, a^{2} b x^{\frac{7}{3}} + \frac{3}{4} \, a^{3} x^{\frac{4}{3}}"," ",0,"3/13*b^3*x^(13/3) + 9/10*a*b^2*x^(10/3) + 9/7*a^2*b*x^(7/3) + 3/4*a^3*x^(4/3)","A",0
670,1,35,0,0.859104," ","integrate((b*x+a)^3/x^(1/3),x, algorithm=""giac"")","\frac{3}{11} \, b^{3} x^{\frac{11}{3}} + \frac{9}{8} \, a b^{2} x^{\frac{8}{3}} + \frac{9}{5} \, a^{2} b x^{\frac{5}{3}} + \frac{3}{2} \, a^{3} x^{\frac{2}{3}}"," ",0,"3/11*b^3*x^(11/3) + 9/8*a*b^2*x^(8/3) + 9/5*a^2*b*x^(5/3) + 3/2*a^3*x^(2/3)","A",0
671,1,35,0,0.941237," ","integrate((b*x+a)^3/x^(2/3),x, algorithm=""giac"")","\frac{3}{10} \, b^{3} x^{\frac{10}{3}} + \frac{9}{7} \, a b^{2} x^{\frac{7}{3}} + \frac{9}{4} \, a^{2} b x^{\frac{4}{3}} + 3 \, a^{3} x^{\frac{1}{3}}"," ",0,"3/10*b^3*x^(10/3) + 9/7*a*b^2*x^(7/3) + 9/4*a^2*b*x^(4/3) + 3*a^3*x^(1/3)","A",0
672,1,35,0,1.072352," ","integrate((b*x+a)^3/x^(4/3),x, algorithm=""giac"")","\frac{3}{8} \, b^{3} x^{\frac{8}{3}} + \frac{9}{5} \, a b^{2} x^{\frac{5}{3}} + \frac{9}{2} \, a^{2} b x^{\frac{2}{3}} - \frac{3 \, a^{3}}{x^{\frac{1}{3}}}"," ",0,"3/8*b^3*x^(8/3) + 9/5*a*b^2*x^(5/3) + 9/2*a^2*b*x^(2/3) - 3*a^3/x^(1/3)","A",0
673,1,35,0,1.166757," ","integrate((b*x+a)^3/x^(5/3),x, algorithm=""giac"")","\frac{3}{7} \, b^{3} x^{\frac{7}{3}} + \frac{9}{4} \, a b^{2} x^{\frac{4}{3}} + 9 \, a^{2} b x^{\frac{1}{3}} - \frac{3 \, a^{3}}{2 \, x^{\frac{2}{3}}}"," ",0,"3/7*b^3*x^(7/3) + 9/4*a*b^2*x^(4/3) + 9*a^2*b*x^(1/3) - 3/2*a^3/x^(2/3)","A",0
674,1,138,0,1.036628," ","integrate(x^(5/3)/(b*x+a),x, algorithm=""giac"")","-\frac{a \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{b^{2}} - \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{b^{4}} + \frac{\left(-a b^{2}\right)^{\frac{2}{3}} a \log\left(x^{\frac{2}{3}} + x^{\frac{1}{3}} \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, b^{4}} + \frac{3 \, {\left(2 \, b^{4} x^{\frac{5}{3}} - 5 \, a b^{3} x^{\frac{2}{3}}\right)}}{10 \, b^{5}}"," ",0,"-a*(-a/b)^(2/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/b^2 - sqrt(3)*(-a*b^2)^(2/3)*a*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/b^4 + 1/2*(-a*b^2)^(2/3)*a*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/b^4 + 3/10*(2*b^4*x^(5/3) - 5*a*b^3*x^(2/3))/b^5","A",0
675,1,136,0,1.208362," ","integrate(x^(4/3)/(b*x+a),x, algorithm=""giac"")","-\frac{a \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{b^{2}} + \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{b^{3}} + \frac{\left(-a b^{2}\right)^{\frac{1}{3}} a \log\left(x^{\frac{2}{3}} + x^{\frac{1}{3}} \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, b^{3}} + \frac{3 \, {\left(b^{3} x^{\frac{4}{3}} - 4 \, a b^{2} x^{\frac{1}{3}}\right)}}{4 \, b^{4}}"," ",0,"-a*(-a/b)^(1/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/b^2 + sqrt(3)*(-a*b^2)^(1/3)*a*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/b^3 + 1/2*(-a*b^2)^(1/3)*a*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/b^3 + 3/4*(b^3*x^(4/3) - 4*a*b^2*x^(1/3))/b^4","A",0
676,1,118,0,1.042529," ","integrate(x^(2/3)/(b*x+a),x, algorithm=""giac"")","\frac{\left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{b} + \frac{3 \, x^{\frac{2}{3}}}{2 \, b} + \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{b^{3}} - \frac{\left(-a b^{2}\right)^{\frac{2}{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 \, b^{3}}"," ",0,"(-a/b)^(2/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/b + 3/2*x^(2/3)/b + sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/b^3 - 1/2*(-a*b^2)^(2/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/b^3","A",0
677,1,119,0,1.146600," ","integrate(x^(1/3)/(b*x+a),x, algorithm=""giac"")","\frac{\left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{b} - \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{b^{2}} + \frac{3 \, x^{\frac{1}{3}}}{b} - \frac{\left(-a b^{2}\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 \, b^{2}}"," ",0,"(-a/b)^(1/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/b - sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/b^2 + 3*x^(1/3)/b - 1/2*(-a*b^2)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/b^2","A",0
678,1,118,0,1.171038," ","integrate(1/x^(1/3)/(b*x+a),x, algorithm=""giac"")","-\frac{\left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a} - \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a b^{2}} + \frac{\left(-a b^{2}\right)^{\frac{2}{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 \, a b^{2}}"," ",0,"-(-a/b)^(2/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/a - sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b^2) + 1/2*(-a*b^2)^(2/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b^2)","A",0
679,1,117,0,1.175058," ","integrate(1/x^(2/3)/(b*x+a),x, algorithm=""giac"")","-\frac{\left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a} + \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a b} + \frac{\left(-a b^{2}\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 \, a b}"," ",0,"-(-a/b)^(1/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/a + sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b) + 1/2*(-a*b^2)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b)","A",0
680,1,125,0,1.210653," ","integrate(1/x^(4/3)/(b*x+a),x, algorithm=""giac"")","\frac{b \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a^{2}} + \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a^{2} b} - \frac{3}{a x^{\frac{1}{3}}} - \frac{\left(-a b^{2}\right)^{\frac{2}{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 \, a^{2} b}"," ",0,"b*(-a/b)^(2/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/a^2 + sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^2*b) - 3/(a*x^(1/3)) - 1/2*(-a*b^2)^(2/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^2*b)","A",0
681,1,120,0,1.139189," ","integrate(1/x^(5/3)/(b*x+a),x, algorithm=""giac"")","\frac{b \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a^{2}} - \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a^{2}} - \frac{\left(-a b^{2}\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 \, a^{2}} - \frac{3}{2 \, a x^{\frac{2}{3}}}"," ",0,"b*(-a/b)^(1/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/a^2 - sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/a^2 - 1/2*(-a*b^2)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/a^2 - 3/2/(a*x^(2/3))","A",0
682,1,135,0,1.052318," ","integrate(x^(5/3)/(b*x+a)^2,x, algorithm=""giac"")","\frac{5 \, \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, b^{2}} + \frac{a x^{\frac{2}{3}}}{{\left(b x + a\right)} b^{2}} + \frac{3 \, x^{\frac{2}{3}}}{2 \, b^{2}} + \frac{5 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{4}} - \frac{5 \, \left(-a b^{2}\right)^{\frac{2}{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)}{6 \, b^{4}}"," ",0,"5/3*(-a/b)^(2/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/b^2 + a*x^(2/3)/((b*x + a)*b^2) + 3/2*x^(2/3)/b^2 + 5/3*sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/b^4 - 5/6*(-a*b^2)^(2/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/b^4","A",0
683,1,135,0,1.069471," ","integrate(x^(4/3)/(b*x+a)^2,x, algorithm=""giac"")","\frac{4 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, b^{2}} - \frac{4 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{3}} + \frac{a x^{\frac{1}{3}}}{{\left(b x + a\right)} b^{2}} + \frac{3 \, x^{\frac{1}{3}}}{b^{2}} - \frac{2 \, \left(-a b^{2}\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)}{3 \, b^{3}}"," ",0,"4/3*(-a/b)^(1/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/b^2 - 4/3*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/b^3 + a*x^(1/3)/((b*x + a)*b^2) + 3*x^(1/3)/b^2 - 2/3*(-a*b^2)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/b^3","A",0
684,1,136,0,1.199046," ","integrate(x^(2/3)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a b} - \frac{x^{\frac{2}{3}}}{{\left(b x + a\right)} b} - \frac{2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a b^{3}} + \frac{\left(-a b^{2}\right)^{\frac{2}{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)}{3 \, a b^{3}}"," ",0,"-2/3*(-a/b)^(2/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/(a*b) - x^(2/3)/((b*x + a)*b) - 2/3*sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b^3) + 1/3*(-a*b^2)^(2/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b^3)","A",0
685,1,136,0,1.129476," ","integrate(x^(1/3)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{\left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a b} + \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a b^{2}} - \frac{x^{\frac{1}{3}}}{{\left(b x + a\right)} b} + \frac{\left(-a b^{2}\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)}{6 \, a b^{2}}"," ",0,"-1/3*(-a/b)^(1/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/(a*b) + 1/3*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b^2) - x^(1/3)/((b*x + a)*b) + 1/6*(-a*b^2)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b^2)","A",0
686,1,132,0,1.110650," ","integrate(1/x^(1/3)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{\left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a^{2}} + \frac{x^{\frac{2}{3}}}{{\left(b x + a\right)} a} - \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a^{2} b^{2}} + \frac{\left(-a b^{2}\right)^{\frac{2}{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)}{6 \, a^{2} b^{2}}"," ",0,"-1/3*(-a/b)^(2/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/a^2 + x^(2/3)/((b*x + a)*a) - 1/3*sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^2*b^2) + 1/6*(-a*b^2)^(2/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^2*b^2)","A",0
687,1,132,0,1.035460," ","integrate(1/x^(2/3)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a^{2}} + \frac{2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a^{2} b} + \frac{x^{\frac{1}{3}}}{{\left(b x + a\right)} a} + \frac{\left(-a b^{2}\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)}{3 \, a^{2} b}"," ",0,"-2/3*(-a/b)^(1/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/a^2 + 2/3*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^2*b) + x^(1/3)/((b*x + a)*a) + 1/3*(-a*b^2)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^2*b)","A",0
688,1,145,0,0.974965," ","integrate(1/x^(4/3)/(b*x+a)^2,x, algorithm=""giac"")","\frac{4 \, b \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a^{3}} + \frac{4 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a^{3} b} - \frac{4 \, b x + 3 \, a}{{\left(b x^{\frac{4}{3}} + a x^{\frac{1}{3}}\right)} a^{2}} - \frac{2 \, \left(-a b^{2}\right)^{\frac{2}{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)}{3 \, a^{3} b}"," ",0,"4/3*b*(-a/b)^(2/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/a^3 + 4/3*sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^3*b) - (4*b*x + 3*a)/((b*x^(4/3) + a*x^(1/3))*a^2) - 2/3*(-a*b^2)^(2/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^3*b)","A",0
689,1,137,0,1.006198," ","integrate(1/x^(5/3)/(b*x+a)^2,x, algorithm=""giac"")","\frac{5 \, b \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{3 \, a^{3}} - \frac{5 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a^{3}} - \frac{b x^{\frac{1}{3}}}{{\left(b x + a\right)} a^{2}} - \frac{5 \, \left(-a b^{2}\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)}{6 \, a^{3}} - \frac{3}{2 \, a^{2} x^{\frac{2}{3}}}"," ",0,"5/3*b*(-a/b)^(1/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/a^3 - 5/3*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/a^3 - b*x^(1/3)/((b*x + a)*a^2) - 5/6*(-a*b^2)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/a^3 - 3/2/(a^2*x^(2/3))","A",0
690,1,146,0,1.058111," ","integrate(x^(5/3)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{5 \, \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a b^{2}} - \frac{5 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a b^{4}} - \frac{8 \, b x^{\frac{5}{3}} + 5 \, a x^{\frac{2}{3}}}{6 \, {\left(b x + a\right)}^{2} b^{2}} + \frac{5 \, \left(-a b^{2}\right)^{\frac{2}{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)}{18 \, a b^{4}}"," ",0,"-5/9*(-a/b)^(2/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/(a*b^2) - 5/9*sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b^4) - 1/6*(8*b*x^(5/3) + 5*a*x^(2/3))/((b*x + a)^2*b^2) + 5/18*(-a*b^2)^(2/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b^4)","A",0
691,1,146,0,1.125486," ","integrate(x^(4/3)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a b^{2}} + \frac{2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a b^{3}} + \frac{\left(-a b^{2}\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)}{9 \, a b^{3}} - \frac{7 \, b x^{\frac{4}{3}} + 4 \, a x^{\frac{1}{3}}}{6 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"-2/9*(-a/b)^(1/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/(a*b^2) + 2/9*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b^3) + 1/9*(-a*b^2)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b^3) - 1/6*(7*b*x^(4/3) + 4*a*x^(1/3))/((b*x + a)^2*b^2)","A",0
692,1,149,0,1.063787," ","integrate(x^(2/3)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{\left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a^{2} b} - \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{2} b^{3}} + \frac{2 \, b x^{\frac{5}{3}} - a x^{\frac{2}{3}}}{6 \, {\left(b x + a\right)}^{2} a b} + \frac{\left(-a b^{2}\right)^{\frac{2}{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)}{18 \, a^{2} b^{3}}"," ",0,"-1/9*(-a/b)^(2/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/(a^2*b) - 1/9*sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^2*b^3) + 1/6*(2*b*x^(5/3) - a*x^(2/3))/((b*x + a)^2*a*b) + 1/18*(-a*b^2)^(2/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^2*b^3)","A",0
693,1,148,0,1.110327," ","integrate(x^(1/3)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{\left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a^{2} b} + \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{2} b^{2}} + \frac{\left(-a b^{2}\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)}{18 \, a^{2} b^{2}} + \frac{b x^{\frac{4}{3}} - 2 \, a x^{\frac{1}{3}}}{6 \, {\left(b x + a\right)}^{2} a b}"," ",0,"-1/9*(-a/b)^(1/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/(a^2*b) + 1/9*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^2*b^2) + 1/18*(-a*b^2)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^2*b^2) + 1/6*(b*x^(4/3) - 2*a*x^(1/3))/((b*x + a)^2*a*b)","A",0
694,1,143,0,1.063845," ","integrate(1/x^(1/3)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a^{3}} - \frac{2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{3} b^{2}} + \frac{4 \, b x^{\frac{5}{3}} + 7 \, a x^{\frac{2}{3}}}{6 \, {\left(b x + a\right)}^{2} a^{2}} + \frac{\left(-a b^{2}\right)^{\frac{2}{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)}{9 \, a^{3} b^{2}}"," ",0,"-2/9*(-a/b)^(2/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/a^3 - 2/9*sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^3*b^2) + 1/6*(4*b*x^(5/3) + 7*a*x^(2/3))/((b*x + a)^2*a^2) + 1/9*(-a*b^2)^(2/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^3*b^2)","A",0
695,1,143,0,0.998648," ","integrate(1/x^(2/3)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{5 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a^{3}} + \frac{5 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{3} b} + \frac{5 \, \left(-a b^{2}\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)}{18 \, a^{3} b} + \frac{5 \, b x^{\frac{4}{3}} + 8 \, a x^{\frac{1}{3}}}{6 \, {\left(b x + a\right)}^{2} a^{2}}"," ",0,"-5/9*(-a/b)^(1/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/a^3 + 5/9*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^3*b) + 5/18*(-a*b^2)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^3*b) + 1/6*(5*b*x^(4/3) + 8*a*x^(1/3))/((b*x + a)^2*a^2)","A",0
696,1,155,0,1.163203," ","integrate(1/x^(4/3)/(b*x+a)^3,x, algorithm=""giac"")","\frac{14 \, b \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a^{4}} + \frac{14 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{4} b} - \frac{3}{a^{3} x^{\frac{1}{3}}} - \frac{7 \, \left(-a b^{2}\right)^{\frac{2}{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)}{9 \, a^{4} b} - \frac{10 \, b^{2} x^{\frac{5}{3}} + 13 \, a b x^{\frac{2}{3}}}{6 \, {\left(b x + a\right)}^{2} a^{3}}"," ",0,"14/9*b*(-a/b)^(2/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/a^4 + 14/9*sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^4*b) - 3/(a^3*x^(1/3)) - 7/9*(-a*b^2)^(2/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^4*b) - 1/6*(10*b^2*x^(5/3) + 13*a*b*x^(2/3))/((b*x + a)^2*a^3)","A",0
697,1,150,0,1.079783," ","integrate(1/x^(5/3)/(b*x+a)^3,x, algorithm=""giac"")","\frac{20 \, b \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x^{\frac{1}{3}} - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{9 \, a^{4}} - \frac{20 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{4}} - \frac{10 \, \left(-a b^{2}\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)}{9 \, a^{4}} - \frac{20 \, b^{2} x^{2} + 32 \, a b x + 9 \, a^{2}}{6 \, {\left(b x^{\frac{4}{3}} + a x^{\frac{1}{3}}\right)}^{2} a^{3}}"," ",0,"20/9*b*(-a/b)^(1/3)*log(abs(x^(1/3) - (-a/b)^(1/3)))/a^4 - 20/9*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + (-a/b)^(1/3))/(-a/b)^(1/3))/a^4 - 10/9*(-a*b^2)^(1/3)*log(x^(2/3) + x^(1/3)*(-a/b)^(1/3) + (-a/b)^(2/3))/a^4 - 1/6*(20*b^2*x^2 + 32*a*b*x + 9*a^2)/((b*x^(4/3) + a*x^(1/3))^2*a^3)","A",0
698,1,64,0,1.168740," ","integrate((1-x)^(1/4)/(1+x),x, algorithm=""giac"")","-2 \cdot 2^{\frac{1}{4}} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}\right) - 2^{\frac{1}{4}} \log\left(2^{\frac{1}{4}} + {\left(-x + 1\right)}^{\frac{1}{4}}\right) + 2^{\frac{1}{4}} \log\left({\left| -2^{\frac{1}{4}} + {\left(-x + 1\right)}^{\frac{1}{4}} \right|}\right) + 4 \, {\left(-x + 1\right)}^{\frac{1}{4}}"," ",0,"-2*2^(1/4)*arctan(1/2*2^(3/4)*(-x + 1)^(1/4)) - 2^(1/4)*log(2^(1/4) + (-x + 1)^(1/4)) + 2^(1/4)*log(abs(-2^(1/4) + (-x + 1)^(1/4))) + 4*(-x + 1)^(1/4)","A",0
699,1,1925,0,1.203780," ","integrate(x^m*(b*x+a)^10,x, algorithm=""giac"")","\frac{b^{10} m^{10} x^{11} x^{m} + 10 \, a b^{9} m^{10} x^{10} x^{m} + 55 \, b^{10} m^{9} x^{11} x^{m} + 45 \, a^{2} b^{8} m^{10} x^{9} x^{m} + 560 \, a b^{9} m^{9} x^{10} x^{m} + 1320 \, b^{10} m^{8} x^{11} x^{m} + 120 \, a^{3} b^{7} m^{10} x^{8} x^{m} + 2565 \, a^{2} b^{8} m^{9} x^{9} x^{m} + 13650 \, a b^{9} m^{8} x^{10} x^{m} + 18150 \, b^{10} m^{7} x^{11} x^{m} + 210 \, a^{4} b^{6} m^{10} x^{7} x^{m} + 6960 \, a^{3} b^{7} m^{9} x^{8} x^{m} + 63540 \, a^{2} b^{8} m^{8} x^{9} x^{m} + 190200 \, a b^{9} m^{7} x^{10} x^{m} + 157773 \, b^{10} m^{6} x^{11} x^{m} + 252 \, a^{5} b^{5} m^{10} x^{6} x^{m} + 12390 \, a^{4} b^{6} m^{9} x^{7} x^{m} + 175320 \, a^{3} b^{7} m^{8} x^{8} x^{m} + 898290 \, a^{2} b^{8} m^{7} x^{9} x^{m} + 1672230 \, a b^{9} m^{6} x^{10} x^{m} + 902055 \, b^{10} m^{5} x^{11} x^{m} + 210 \, a^{6} b^{4} m^{10} x^{5} x^{m} + 15120 \, a^{5} b^{5} m^{9} x^{6} x^{m} + 317520 \, a^{4} b^{6} m^{8} x^{7} x^{m} + 2517840 \, a^{3} b^{7} m^{7} x^{8} x^{m} + 7999425 \, a^{2} b^{8} m^{6} x^{9} x^{m} + 9653280 \, a b^{9} m^{5} x^{10} x^{m} + 3416930 \, b^{10} m^{4} x^{11} x^{m} + 120 \, a^{7} b^{3} m^{10} x^{4} x^{m} + 12810 \, a^{6} b^{4} m^{9} x^{5} x^{m} + 394380 \, a^{5} b^{5} m^{8} x^{6} x^{m} + 4638060 \, a^{4} b^{6} m^{7} x^{7} x^{m} + 22748040 \, a^{3} b^{7} m^{6} x^{8} x^{m} + 46695285 \, a^{2} b^{8} m^{5} x^{9} x^{m} + 36862550 \, a b^{9} m^{4} x^{10} x^{m} + 8409500 \, b^{10} m^{3} x^{11} x^{m} + 45 \, a^{8} b^{2} m^{10} x^{3} x^{m} + 7440 \, a^{7} b^{3} m^{9} x^{4} x^{m} + 340200 \, a^{6} b^{4} m^{8} x^{5} x^{m} + 5866560 \, a^{5} b^{5} m^{7} x^{6} x^{m} + 42592410 \, a^{4} b^{6} m^{6} x^{7} x^{m} + 134522640 \, a^{3} b^{7} m^{5} x^{8} x^{m} + 180021510 \, a^{2} b^{8} m^{4} x^{9} x^{m} + 91331800 \, a b^{9} m^{3} x^{10} x^{m} + 12753576 \, b^{10} m^{2} x^{11} x^{m} + 10 \, a^{9} b m^{10} x^{2} x^{m} + 2835 \, a^{8} b^{2} m^{9} x^{3} x^{m} + 201240 \, a^{7} b^{3} m^{8} x^{4} x^{m} + 5159700 \, a^{6} b^{4} m^{7} x^{5} x^{m} + 54871236 \, a^{5} b^{5} m^{6} x^{6} x^{m} + 255740310 \, a^{4} b^{6} m^{5} x^{7} x^{m} + 524563080 \, a^{3} b^{7} m^{4} x^{8} x^{m} + 449614260 \, a^{2} b^{8} m^{3} x^{9} x^{m} + 139262760 \, a b^{9} m^{2} x^{10} x^{m} + 10628640 \, b^{10} m x^{11} x^{m} + a^{10} m^{10} x x^{m} + 640 \, a^{9} b m^{9} x^{2} x^{m} + 78120 \, a^{8} b^{2} m^{8} x^{3} x^{m} + 3115440 \, a^{7} b^{3} m^{7} x^{4} x^{m} + 49260330 \, a^{6} b^{4} m^{6} x^{5} x^{m} + 335437200 \, a^{5} b^{5} m^{5} x^{6} x^{m} + 1011120180 \, a^{4} b^{6} m^{4} x^{7} x^{m} + 1322982960 \, a^{3} b^{7} m^{3} x^{8} x^{m} + 690085080 \, a^{2} b^{8} m^{2} x^{9} x^{m} + 116552160 \, a b^{9} m x^{10} x^{m} + 3628800 \, b^{10} x^{11} x^{m} + 65 \, a^{10} m^{9} x x^{m} + 17970 \, a^{9} b m^{8} x^{2} x^{m} + 1235790 \, a^{8} b^{2} m^{7} x^{3} x^{m} + 30429000 \, a^{7} b^{3} m^{6} x^{4} x^{m} + 307585530 \, a^{6} b^{4} m^{5} x^{5} x^{m} + 1348939620 \, a^{5} b^{5} m^{4} x^{6} x^{m} + 2581262040 \, a^{4} b^{6} m^{3} x^{7} x^{m} + 2047105440 \, a^{3} b^{7} m^{2} x^{8} x^{m} + 580543200 \, a^{2} b^{8} m x^{9} x^{m} + 39916800 \, a b^{9} x^{10} x^{m} + 1860 \, a^{10} m^{8} x x^{m} + 290760 \, a^{9} b m^{7} x^{2} x^{m} + 12376665 \, a^{8} b^{2} m^{6} x^{3} x^{m} + 194790960 \, a^{7} b^{3} m^{5} x^{4} x^{m} + 1263374700 \, a^{6} b^{4} m^{4} x^{5} x^{m} + 3497286240 \, a^{5} b^{5} m^{3} x^{6} x^{m} + 4035361680 \, a^{4} b^{6} m^{2} x^{7} x^{m} + 1733313600 \, a^{3} b^{7} m x^{8} x^{m} + 199584000 \, a^{2} b^{8} x^{9} x^{m} + 30810 \, a^{10} m^{7} x x^{m} + 2992710 \, a^{9} b m^{6} x^{2} x^{m} + 81560115 \, a^{8} b^{2} m^{5} x^{3} x^{m} + 821580360 \, a^{7} b^{3} m^{4} x^{4} x^{m} + 3342229800 \, a^{6} b^{4} m^{3} x^{5} x^{m} + 5541317712 \, a^{5} b^{5} m^{2} x^{6} x^{m} + 3445243200 \, a^{4} b^{6} m x^{7} x^{m} + 598752000 \, a^{3} b^{7} x^{8} x^{m} + 326613 \, a^{10} m^{6} x x^{m} + 20390160 \, a^{9} b m^{5} x^{2} x^{m} + 355598730 \, a^{8} b^{2} m^{4} x^{3} x^{m} + 2233166160 \, a^{7} b^{3} m^{3} x^{4} x^{m} + 5393046960 \, a^{6} b^{4} m^{2} x^{5} x^{m} + 4783423680 \, a^{5} b^{5} m x^{6} x^{m} + 1197504000 \, a^{4} b^{6} x^{7} x^{m} + 2310945 \, a^{10} m^{5} x x^{m} + 92615030 \, a^{9} b m^{4} x^{2} x^{m} + 1003011660 \, a^{8} b^{2} m^{3} x^{3} x^{m} + 3698304480 \, a^{7} b^{3} m^{2} x^{4} x^{m} + 4727540160 \, a^{6} b^{4} m x^{5} x^{m} + 1676505600 \, a^{5} b^{5} x^{6} x^{m} + 11028590 \, a^{10} m^{4} x x^{m} + 274727240 \, a^{9} b m^{3} x^{2} x^{m} + 1727578440 \, a^{8} b^{2} m^{2} x^{3} x^{m} + 3316939200 \, a^{7} b^{3} m x^{4} x^{m} + 1676505600 \, a^{6} b^{4} x^{5} x^{m} + 34967140 \, a^{10} m^{3} x x^{m} + 503126280 \, a^{9} b m^{2} x^{2} x^{m} + 1608573600 \, a^{8} b^{2} m x^{3} x^{m} + 1197504000 \, a^{7} b^{3} x^{4} x^{m} + 70290936 \, a^{10} m^{2} x x^{m} + 502927200 \, a^{9} b m x^{2} x^{m} + 598752000 \, a^{8} b^{2} x^{3} x^{m} + 80627040 \, a^{10} m x x^{m} + 199584000 \, a^{9} b x^{2} x^{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}"," ",0,"(b^10*m^10*x^11*x^m + 10*a*b^9*m^10*x^10*x^m + 55*b^10*m^9*x^11*x^m + 45*a^2*b^8*m^10*x^9*x^m + 560*a*b^9*m^9*x^10*x^m + 1320*b^10*m^8*x^11*x^m + 120*a^3*b^7*m^10*x^8*x^m + 2565*a^2*b^8*m^9*x^9*x^m + 13650*a*b^9*m^8*x^10*x^m + 18150*b^10*m^7*x^11*x^m + 210*a^4*b^6*m^10*x^7*x^m + 6960*a^3*b^7*m^9*x^8*x^m + 63540*a^2*b^8*m^8*x^9*x^m + 190200*a*b^9*m^7*x^10*x^m + 157773*b^10*m^6*x^11*x^m + 252*a^5*b^5*m^10*x^6*x^m + 12390*a^4*b^6*m^9*x^7*x^m + 175320*a^3*b^7*m^8*x^8*x^m + 898290*a^2*b^8*m^7*x^9*x^m + 1672230*a*b^9*m^6*x^10*x^m + 902055*b^10*m^5*x^11*x^m + 210*a^6*b^4*m^10*x^5*x^m + 15120*a^5*b^5*m^9*x^6*x^m + 317520*a^4*b^6*m^8*x^7*x^m + 2517840*a^3*b^7*m^7*x^8*x^m + 7999425*a^2*b^8*m^6*x^9*x^m + 9653280*a*b^9*m^5*x^10*x^m + 3416930*b^10*m^4*x^11*x^m + 120*a^7*b^3*m^10*x^4*x^m + 12810*a^6*b^4*m^9*x^5*x^m + 394380*a^5*b^5*m^8*x^6*x^m + 4638060*a^4*b^6*m^7*x^7*x^m + 22748040*a^3*b^7*m^6*x^8*x^m + 46695285*a^2*b^8*m^5*x^9*x^m + 36862550*a*b^9*m^4*x^10*x^m + 8409500*b^10*m^3*x^11*x^m + 45*a^8*b^2*m^10*x^3*x^m + 7440*a^7*b^3*m^9*x^4*x^m + 340200*a^6*b^4*m^8*x^5*x^m + 5866560*a^5*b^5*m^7*x^6*x^m + 42592410*a^4*b^6*m^6*x^7*x^m + 134522640*a^3*b^7*m^5*x^8*x^m + 180021510*a^2*b^8*m^4*x^9*x^m + 91331800*a*b^9*m^3*x^10*x^m + 12753576*b^10*m^2*x^11*x^m + 10*a^9*b*m^10*x^2*x^m + 2835*a^8*b^2*m^9*x^3*x^m + 201240*a^7*b^3*m^8*x^4*x^m + 5159700*a^6*b^4*m^7*x^5*x^m + 54871236*a^5*b^5*m^6*x^6*x^m + 255740310*a^4*b^6*m^5*x^7*x^m + 524563080*a^3*b^7*m^4*x^8*x^m + 449614260*a^2*b^8*m^3*x^9*x^m + 139262760*a*b^9*m^2*x^10*x^m + 10628640*b^10*m*x^11*x^m + a^10*m^10*x*x^m + 640*a^9*b*m^9*x^2*x^m + 78120*a^8*b^2*m^8*x^3*x^m + 3115440*a^7*b^3*m^7*x^4*x^m + 49260330*a^6*b^4*m^6*x^5*x^m + 335437200*a^5*b^5*m^5*x^6*x^m + 1011120180*a^4*b^6*m^4*x^7*x^m + 1322982960*a^3*b^7*m^3*x^8*x^m + 690085080*a^2*b^8*m^2*x^9*x^m + 116552160*a*b^9*m*x^10*x^m + 3628800*b^10*x^11*x^m + 65*a^10*m^9*x*x^m + 17970*a^9*b*m^8*x^2*x^m + 1235790*a^8*b^2*m^7*x^3*x^m + 30429000*a^7*b^3*m^6*x^4*x^m + 307585530*a^6*b^4*m^5*x^5*x^m + 1348939620*a^5*b^5*m^4*x^6*x^m + 2581262040*a^4*b^6*m^3*x^7*x^m + 2047105440*a^3*b^7*m^2*x^8*x^m + 580543200*a^2*b^8*m*x^9*x^m + 39916800*a*b^9*x^10*x^m + 1860*a^10*m^8*x*x^m + 290760*a^9*b*m^7*x^2*x^m + 12376665*a^8*b^2*m^6*x^3*x^m + 194790960*a^7*b^3*m^5*x^4*x^m + 1263374700*a^6*b^4*m^4*x^5*x^m + 3497286240*a^5*b^5*m^3*x^6*x^m + 4035361680*a^4*b^6*m^2*x^7*x^m + 1733313600*a^3*b^7*m*x^8*x^m + 199584000*a^2*b^8*x^9*x^m + 30810*a^10*m^7*x*x^m + 2992710*a^9*b*m^6*x^2*x^m + 81560115*a^8*b^2*m^5*x^3*x^m + 821580360*a^7*b^3*m^4*x^4*x^m + 3342229800*a^6*b^4*m^3*x^5*x^m + 5541317712*a^5*b^5*m^2*x^6*x^m + 3445243200*a^4*b^6*m*x^7*x^m + 598752000*a^3*b^7*x^8*x^m + 326613*a^10*m^6*x*x^m + 20390160*a^9*b*m^5*x^2*x^m + 355598730*a^8*b^2*m^4*x^3*x^m + 2233166160*a^7*b^3*m^3*x^4*x^m + 5393046960*a^6*b^4*m^2*x^5*x^m + 4783423680*a^5*b^5*m*x^6*x^m + 1197504000*a^4*b^6*x^7*x^m + 2310945*a^10*m^5*x*x^m + 92615030*a^9*b*m^4*x^2*x^m + 1003011660*a^8*b^2*m^3*x^3*x^m + 3698304480*a^7*b^3*m^2*x^4*x^m + 4727540160*a^6*b^4*m*x^5*x^m + 1676505600*a^5*b^5*x^6*x^m + 11028590*a^10*m^4*x*x^m + 274727240*a^9*b*m^3*x^2*x^m + 1727578440*a^8*b^2*m^2*x^3*x^m + 3316939200*a^7*b^3*m*x^4*x^m + 1676505600*a^6*b^4*x^5*x^m + 34967140*a^10*m^3*x*x^m + 503126280*a^9*b*m^2*x^2*x^m + 1608573600*a^8*b^2*m*x^3*x^m + 1197504000*a^7*b^3*x^4*x^m + 70290936*a^10*m^2*x*x^m + 502927200*a^9*b*m*x^2*x^m + 598752000*a^8*b^2*x^3*x^m + 80627040*a^10*m*x*x^m + 199584000*a^9*b*x^2*x^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
700,1,992,0,1.396249," ","integrate(x^m*(b*x+a)^7,x, algorithm=""giac"")","\frac{b^{7} m^{7} x^{8} x^{m} + 7 \, a b^{6} m^{7} x^{7} x^{m} + 28 \, b^{7} m^{6} x^{8} x^{m} + 21 \, a^{2} b^{5} m^{7} x^{6} x^{m} + 203 \, a b^{6} m^{6} x^{7} x^{m} + 322 \, b^{7} m^{5} x^{8} x^{m} + 35 \, a^{3} b^{4} m^{7} x^{5} x^{m} + 630 \, a^{2} b^{5} m^{6} x^{6} x^{m} + 2401 \, a b^{6} m^{5} x^{7} x^{m} + 1960 \, b^{7} m^{4} x^{8} x^{m} + 35 \, a^{4} b^{3} m^{7} x^{4} x^{m} + 1085 \, a^{3} b^{4} m^{6} x^{5} x^{m} + 7686 \, a^{2} b^{5} m^{5} x^{6} x^{m} + 14945 \, a b^{6} m^{4} x^{7} x^{m} + 6769 \, b^{7} m^{3} x^{8} x^{m} + 21 \, a^{5} b^{2} m^{7} x^{3} x^{m} + 1120 \, a^{4} b^{3} m^{6} x^{4} x^{m} + 13685 \, a^{3} b^{4} m^{5} x^{5} x^{m} + 49140 \, a^{2} b^{5} m^{4} x^{6} x^{m} + 52528 \, a b^{6} m^{3} x^{7} x^{m} + 13132 \, b^{7} m^{2} x^{8} x^{m} + 7 \, a^{6} b m^{7} x^{2} x^{m} + 693 \, a^{5} b^{2} m^{6} x^{3} x^{m} + 14630 \, a^{4} b^{3} m^{5} x^{4} x^{m} + 90335 \, a^{3} b^{4} m^{4} x^{5} x^{m} + 176589 \, a^{2} b^{5} m^{3} x^{6} x^{m} + 103292 \, a b^{6} m^{2} x^{7} x^{m} + 13068 \, b^{7} m x^{8} x^{m} + a^{7} m^{7} x x^{m} + 238 \, a^{6} b m^{6} x^{2} x^{m} + 9387 \, a^{5} b^{2} m^{5} x^{3} x^{m} + 100240 \, a^{4} b^{3} m^{4} x^{4} x^{m} + 334040 \, a^{3} b^{4} m^{3} x^{5} x^{m} + 353430 \, a^{2} b^{5} m^{2} x^{6} x^{m} + 103824 \, a b^{6} m x^{7} x^{m} + 5040 \, b^{7} x^{8} x^{m} + 35 \, a^{7} m^{6} x x^{m} + 3346 \, a^{6} b m^{5} x^{2} x^{m} + 67095 \, a^{5} b^{2} m^{4} x^{3} x^{m} + 384755 \, a^{4} b^{3} m^{3} x^{4} x^{m} + 684740 \, a^{3} b^{4} m^{2} x^{5} x^{m} + 360024 \, a^{2} b^{5} m x^{6} x^{m} + 40320 \, a b^{6} x^{7} x^{m} + 511 \, a^{7} m^{5} x x^{m} + 25060 \, a^{6} b m^{4} x^{2} x^{m} + 270144 \, a^{5} b^{2} m^{3} x^{3} x^{m} + 815920 \, a^{4} b^{3} m^{2} x^{4} x^{m} + 710640 \, a^{3} b^{4} m x^{5} x^{m} + 141120 \, a^{2} b^{5} x^{6} x^{m} + 4025 \, a^{7} m^{4} x x^{m} + 107023 \, a^{6} b m^{3} x^{2} x^{m} + 602532 \, a^{5} b^{2} m^{2} x^{3} x^{m} + 870660 \, a^{4} b^{3} m x^{4} x^{m} + 282240 \, a^{3} b^{4} x^{5} x^{m} + 18424 \, a^{7} m^{3} x x^{m} + 256942 \, a^{6} b m^{2} x^{2} x^{m} + 673008 \, a^{5} b^{2} m x^{3} x^{m} + 352800 \, a^{4} b^{3} x^{4} x^{m} + 48860 \, a^{7} m^{2} x x^{m} + 312984 \, a^{6} b m x^{2} x^{m} + 282240 \, a^{5} b^{2} x^{3} x^{m} + 69264 \, a^{7} m x x^{m} + 141120 \, a^{6} b x^{2} x^{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}"," ",0,"(b^7*m^7*x^8*x^m + 7*a*b^6*m^7*x^7*x^m + 28*b^7*m^6*x^8*x^m + 21*a^2*b^5*m^7*x^6*x^m + 203*a*b^6*m^6*x^7*x^m + 322*b^7*m^5*x^8*x^m + 35*a^3*b^4*m^7*x^5*x^m + 630*a^2*b^5*m^6*x^6*x^m + 2401*a*b^6*m^5*x^7*x^m + 1960*b^7*m^4*x^8*x^m + 35*a^4*b^3*m^7*x^4*x^m + 1085*a^3*b^4*m^6*x^5*x^m + 7686*a^2*b^5*m^5*x^6*x^m + 14945*a*b^6*m^4*x^7*x^m + 6769*b^7*m^3*x^8*x^m + 21*a^5*b^2*m^7*x^3*x^m + 1120*a^4*b^3*m^6*x^4*x^m + 13685*a^3*b^4*m^5*x^5*x^m + 49140*a^2*b^5*m^4*x^6*x^m + 52528*a*b^6*m^3*x^7*x^m + 13132*b^7*m^2*x^8*x^m + 7*a^6*b*m^7*x^2*x^m + 693*a^5*b^2*m^6*x^3*x^m + 14630*a^4*b^3*m^5*x^4*x^m + 90335*a^3*b^4*m^4*x^5*x^m + 176589*a^2*b^5*m^3*x^6*x^m + 103292*a*b^6*m^2*x^7*x^m + 13068*b^7*m*x^8*x^m + a^7*m^7*x*x^m + 238*a^6*b*m^6*x^2*x^m + 9387*a^5*b^2*m^5*x^3*x^m + 100240*a^4*b^3*m^4*x^4*x^m + 334040*a^3*b^4*m^3*x^5*x^m + 353430*a^2*b^5*m^2*x^6*x^m + 103824*a*b^6*m*x^7*x^m + 5040*b^7*x^8*x^m + 35*a^7*m^6*x*x^m + 3346*a^6*b*m^5*x^2*x^m + 67095*a^5*b^2*m^4*x^3*x^m + 384755*a^4*b^3*m^3*x^4*x^m + 684740*a^3*b^4*m^2*x^5*x^m + 360024*a^2*b^5*m*x^6*x^m + 40320*a*b^6*x^7*x^m + 511*a^7*m^5*x*x^m + 25060*a^6*b*m^4*x^2*x^m + 270144*a^5*b^2*m^3*x^3*x^m + 815920*a^4*b^3*m^2*x^4*x^m + 710640*a^3*b^4*m*x^5*x^m + 141120*a^2*b^5*x^6*x^m + 4025*a^7*m^4*x*x^m + 107023*a^6*b*m^3*x^2*x^m + 602532*a^5*b^2*m^2*x^3*x^m + 870660*a^4*b^3*m*x^4*x^m + 282240*a^3*b^4*x^5*x^m + 18424*a^7*m^3*x*x^m + 256942*a^6*b*m^2*x^2*x^m + 673008*a^5*b^2*m*x^3*x^m + 352800*a^4*b^3*x^4*x^m + 48860*a^7*m^2*x*x^m + 312984*a^6*b*m*x^2*x^m + 282240*a^5*b^2*x^3*x^m + 69264*a^7*m*x*x^m + 141120*a^6*b*x^2*x^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
701,1,224,0,1.067249," ","integrate(x^m*(b*x+a)^3,x, algorithm=""giac"")","\frac{b^{3} m^{3} x^{4} x^{m} + 3 \, a b^{2} m^{3} x^{3} x^{m} + 6 \, b^{3} m^{2} x^{4} x^{m} + 3 \, a^{2} b m^{3} x^{2} x^{m} + 21 \, a b^{2} m^{2} x^{3} x^{m} + 11 \, b^{3} m x^{4} x^{m} + a^{3} m^{3} x x^{m} + 24 \, a^{2} b m^{2} x^{2} x^{m} + 42 \, a b^{2} m x^{3} x^{m} + 6 \, b^{3} x^{4} x^{m} + 9 \, a^{3} m^{2} x x^{m} + 57 \, a^{2} b m x^{2} x^{m} + 24 \, a b^{2} x^{3} x^{m} + 26 \, a^{3} m x x^{m} + 36 \, a^{2} b x^{2} x^{m} + 24 \, a^{3} x x^{m}}{m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24}"," ",0,"(b^3*m^3*x^4*x^m + 3*a*b^2*m^3*x^3*x^m + 6*b^3*m^2*x^4*x^m + 3*a^2*b*m^3*x^2*x^m + 21*a*b^2*m^2*x^3*x^m + 11*b^3*m*x^4*x^m + a^3*m^3*x*x^m + 24*a^2*b*m^2*x^2*x^m + 42*a*b^2*m*x^3*x^m + 6*b^3*x^4*x^m + 9*a^3*m^2*x*x^m + 57*a^2*b*m*x^2*x^m + 24*a*b^2*x^3*x^m + 26*a^3*m*x*x^m + 36*a^2*b*x^2*x^m + 24*a^3*x*x^m)/(m^4 + 10*m^3 + 35*m^2 + 50*m + 24)","B",0
702,1,117,0,1.043792," ","integrate(x^m*(b*x+a)^2,x, algorithm=""giac"")","\frac{b^{2} m^{2} x^{3} x^{m} + 2 \, a b m^{2} x^{2} x^{m} + 3 \, b^{2} m x^{3} x^{m} + a^{2} m^{2} x x^{m} + 8 \, a b m x^{2} x^{m} + 2 \, b^{2} x^{3} x^{m} + 5 \, a^{2} m x x^{m} + 6 \, a b x^{2} x^{m} + 6 \, a^{2} x x^{m}}{m^{3} + 6 \, m^{2} + 11 \, m + 6}"," ",0,"(b^2*m^2*x^3*x^m + 2*a*b*m^2*x^2*x^m + 3*b^2*m*x^3*x^m + a^2*m^2*x*x^m + 8*a*b*m*x^2*x^m + 2*b^2*x^3*x^m + 5*a^2*m*x*x^m + 6*a*b*x^2*x^m + 6*a^2*x*x^m)/(m^3 + 6*m^2 + 11*m + 6)","B",0
703,1,43,0,1.021415," ","integrate(x^m*(b*x+a),x, algorithm=""giac"")","\frac{b m x^{2} x^{m} + a m x x^{m} + b x^{2} x^{m} + 2 \, a x x^{m}}{m^{2} + 3 \, m + 2}"," ",0,"(b*m*x^2*x^m + a*m*x*x^m + b*x^2*x^m + 2*a*x*x^m)/(m^2 + 3*m + 2)","A",0
704,0,0,0,0.000000," ","integrate(x^m/(b*x+a),x, algorithm=""giac"")","\int \frac{x^{m}}{b x + a}\,{d x}"," ",0,"integrate(x^m/(b*x + a), x)","F",0
705,0,0,0,0.000000," ","integrate(x^m/(b*x+a)^2,x, algorithm=""giac"")","\int \frac{x^{m}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^m/(b*x + a)^2, x)","F",0
706,0,0,0,0.000000," ","integrate(x^m/(b*x+a)^3,x, algorithm=""giac"")","\int \frac{x^{m}}{{\left(b x + a\right)}^{3}}\,{d x}"," ",0,"integrate(x^m/(b*x + a)^3, x)","F",0
707,0,0,0,0.000000," ","integrate(x^m*(b*x+a)^(5/2),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{5}{2}} x^{m}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)*x^m, x)","F",0
708,0,0,0,0.000000," ","integrate(x^m*(b*x+a)^(3/2),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{3}{2}} x^{m}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*x^m, x)","F",0
709,0,0,0,0.000000," ","integrate(x^m*(b*x+a)^(1/2),x, algorithm=""giac"")","\int \sqrt{b x + a} x^{m}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*x^m, x)","F",0
710,0,0,0,0.000000," ","integrate(x^m/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^m/sqrt(b*x + a), x)","F",0
711,0,0,0,0.000000," ","integrate(x^m/(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{x^{m}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^m/(b*x + a)^(3/2), x)","F",0
712,0,0,0,0.000000," ","integrate(x^m/(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{x^{m}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^m/(b*x + a)^(5/2), x)","F",0
713,0,0,0,0.000000," ","integrate(x^(2+m)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m + 2}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^(m + 2)/sqrt(b*x + a), x)","F",0
714,0,0,0,0.000000," ","integrate(x^(1+m)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m + 1}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^(m + 1)/sqrt(b*x + a), x)","F",0
715,0,0,0,0.000000," ","integrate(x^m/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^m/sqrt(b*x + a), x)","F",0
716,0,0,0,0.000000," ","integrate(x^(-1+m)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m - 1}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^(m - 1)/sqrt(b*x + a), x)","F",0
717,0,0,0,0.000000," ","integrate(x^(-2+m)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m - 2}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^(m - 2)/sqrt(b*x + a), x)","F",0
718,0,0,0,0.000000," ","integrate(x^(-3+m)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m - 3}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(x^(m - 3)/sqrt(b*x + a), x)","F",0
719,0,0,0,0.000000," ","integrate(x^m/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate(x^m/sqrt(3*x + 2), x)","F",0
720,0,0,0,0.000000," ","integrate(x^m/(2-3*x)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m}}{\sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate(x^m/sqrt(-3*x + 2), x)","F",0
721,0,0,0,0.000000," ","integrate(x^m/(-2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m}}{\sqrt{3 \, x - 2}}\,{d x}"," ",0,"integrate(x^m/sqrt(3*x - 2), x)","F",0
722,0,0,0,0.000000," ","integrate(x^m/(-2-3*x)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m}}{\sqrt{-3 \, x - 2}}\,{d x}"," ",0,"integrate(x^m/sqrt(-3*x - 2), x)","F",0
723,0,0,0,0.000000," ","integrate((-x)^m/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{\left(-x\right)^{m}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((-x)^m/sqrt(b*x + a), x)","F",0
724,0,0,0,0.000000," ","integrate((-x)^m/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\left(-x\right)^{m}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((-x)^m/sqrt(3*x + 2), x)","F",0
725,0,0,0,0.000000," ","integrate((-x)^m/(2-3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\left(-x\right)^{m}}{\sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate((-x)^m/sqrt(-3*x + 2), x)","F",0
726,0,0,0,0.000000," ","integrate((-x)^m/(-2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\left(-x\right)^{m}}{\sqrt{3 \, x - 2}}\,{d x}"," ",0,"integrate((-x)^m/sqrt(3*x - 2), x)","F",0
727,0,0,0,0.000000," ","integrate((-x)^m/(-2-3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\left(-x\right)^{m}}{\sqrt{-3 \, x - 2}}\,{d x}"," ",0,"integrate((-x)^m/sqrt(-3*x - 2), x)","F",0
728,0,0,0,0.000000," ","integrate(x^n/(1-x)^(1/2),x, algorithm=""giac"")","\int \frac{x^{n}}{\sqrt{-x + 1}}\,{d x}"," ",0,"integrate(x^n/sqrt(-x + 1), x)","F",0
729,0,0,0,0.000000," ","integrate(x^n/(-a*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x^{n}}{\sqrt{-a x + a}}\,{d x}"," ",0,"integrate(x^n/sqrt(-a*x + a), x)","F",0
730,0,0,0,0.000000," ","integrate(x^m*(b*x+a)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} x^{m}\,{d x}"," ",0,"integrate((b*x + a)^n*x^m, x)","F",0
731,0,0,0,0.000000," ","integrate((c*x)^m*(b*x+a)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} \left(c x\right)^{m}\,{d x}"," ",0,"integrate((b*x + a)^n*(c*x)^m, x)","F",0
732,1,226,0,1.212466," ","integrate(x^3*(b*x+a)^n,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{4} n^{3} x^{4} + {\left(b x + a\right)}^{n} a b^{3} n^{3} x^{3} + 6 \, {\left(b x + a\right)}^{n} b^{4} n^{2} x^{4} + 3 \, {\left(b x + a\right)}^{n} a b^{3} n^{2} x^{3} + 11 \, {\left(b x + a\right)}^{n} b^{4} n x^{4} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} n^{2} x^{2} + 2 \, {\left(b x + a\right)}^{n} a b^{3} n x^{3} + 6 \, {\left(b x + a\right)}^{n} b^{4} x^{4} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} n x^{2} + 6 \, {\left(b x + a\right)}^{n} a^{3} b n x - 6 \, {\left(b x + a\right)}^{n} a^{4}}{b^{4} n^{4} + 10 \, b^{4} n^{3} + 35 \, b^{4} n^{2} + 50 \, b^{4} n + 24 \, b^{4}}"," ",0,"((b*x + a)^n*b^4*n^3*x^4 + (b*x + a)^n*a*b^3*n^3*x^3 + 6*(b*x + a)^n*b^4*n^2*x^4 + 3*(b*x + a)^n*a*b^3*n^2*x^3 + 11*(b*x + a)^n*b^4*n*x^4 - 3*(b*x + a)^n*a^2*b^2*n^2*x^2 + 2*(b*x + a)^n*a*b^3*n*x^3 + 6*(b*x + a)^n*b^4*x^4 - 3*(b*x + a)^n*a^2*b^2*n*x^2 + 6*(b*x + a)^n*a^3*b*n*x - 6*(b*x + a)^n*a^4)/(b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4)","B",0
733,1,140,0,1.073522," ","integrate(x^2*(b*x+a)^n,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{3} n^{2} x^{3} + {\left(b x + a\right)}^{n} a b^{2} n^{2} x^{2} + 3 \, {\left(b x + a\right)}^{n} b^{3} n x^{3} + {\left(b x + a\right)}^{n} a b^{2} n x^{2} + 2 \, {\left(b x + a\right)}^{n} b^{3} x^{3} - 2 \, {\left(b x + a\right)}^{n} a^{2} b n x + 2 \, {\left(b x + a\right)}^{n} a^{3}}{b^{3} n^{3} + 6 \, b^{3} n^{2} + 11 \, b^{3} n + 6 \, b^{3}}"," ",0,"((b*x + a)^n*b^3*n^2*x^3 + (b*x + a)^n*a*b^2*n^2*x^2 + 3*(b*x + a)^n*b^3*n*x^3 + (b*x + a)^n*a*b^2*n*x^2 + 2*(b*x + a)^n*b^3*x^3 - 2*(b*x + a)^n*a^2*b*n*x + 2*(b*x + a)^n*a^3)/(b^3*n^3 + 6*b^3*n^2 + 11*b^3*n + 6*b^3)","B",0
734,1,76,0,1.051181," ","integrate(x*(b*x+a)^n,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{2} n x^{2} + {\left(b x + a\right)}^{n} a b n x + {\left(b x + a\right)}^{n} b^{2} x^{2} - {\left(b x + a\right)}^{n} a^{2}}{b^{2} n^{2} + 3 \, b^{2} n + 2 \, b^{2}}"," ",0,"((b*x + a)^n*b^2*n*x^2 + (b*x + a)^n*a*b*n*x + (b*x + a)^n*b^2*x^2 - (b*x + a)^n*a^2)/(b^2*n^2 + 3*b^2*n + 2*b^2)","A",0
735,1,18,0,1.137275," ","integrate((b*x+a)^n,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n + 1}}{b {\left(n + 1\right)}}"," ",0,"(b*x + a)^(n + 1)/(b*(n + 1))","A",0
736,0,0,0,0.000000," ","integrate((b*x+a)^n/x,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((b*x + a)^n/x, x)","F",0
737,0,0,0,0.000000," ","integrate((b*x+a)^n/x^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{x^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n/x^2, x)","F",0
738,0,0,0,0.000000," ","integrate((b*x+a)^n/x^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{x^{3}}\,{d x}"," ",0,"integrate((b*x + a)^n/x^3, x)","F",0
739,0,0,0,0.000000," ","integrate(x^(-4+n)/((b*x+a)^n),x, algorithm=""giac"")","\int \frac{x^{n - 4}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate(x^(n - 4)/(b*x + a)^n, x)","F",0
740,0,0,0,0.000000," ","integrate(x^(-3+n)/((b*x+a)^n),x, algorithm=""giac"")","\int \frac{x^{n - 3}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate(x^(n - 3)/(b*x + a)^n, x)","F",0
741,0,0,0,0.000000," ","integrate(x^(-2+n)/((b*x+a)^n),x, algorithm=""giac"")","\int \frac{x^{n - 2}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate(x^(n - 2)/(b*x + a)^n, x)","F",0
742,0,0,0,0.000000," ","integrate(x^(-1+n)/((b*x+a)^n),x, algorithm=""giac"")","\int \frac{x^{n - 1}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate(x^(n - 1)/(b*x + a)^n, x)","F",0
743,0,0,0,0.000000," ","integrate(x^n/((b*x+a)^n),x, algorithm=""giac"")","\int \frac{x^{n}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate(x^n/(b*x + a)^n, x)","F",0
744,0,0,0,0.000000," ","integrate(x^(1+n)/((b*x+a)^n),x, algorithm=""giac"")","\int \frac{x^{n + 1}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate(x^(n + 1)/(b*x + a)^n, x)","F",0
745,0,0,0,0.000000," ","integrate(x^(3/2)*(b*x+a)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} x^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^(3/2), x)","F",0
746,0,0,0,0.000000," ","integrate(x^(1/2)*(b*x+a)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} \sqrt{x}\,{d x}"," ",0,"integrate((b*x + a)^n*sqrt(x), x)","F",0
747,0,0,0,0.000000," ","integrate((b*x+a)^n/x^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{\sqrt{x}}\,{d x}"," ",0,"integrate((b*x + a)^n/sqrt(x), x)","F",0
748,0,0,0,0.000000," ","integrate((b*x+a)^n/x^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n/x^(3/2), x)","F",0
749,0,0,0,0.000000," ","integrate((b*x+a)^n/x^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n/x^(5/2), x)","F",0
750,0,0,0,0.000000," ","integrate((b*x)^m*(d*x+2)^n,x, algorithm=""giac"")","\int \left(b x\right)^{m} {\left(d x + 2\right)}^{n}\,{d x}"," ",0,"integrate((b*x)^m*(d*x + 2)^n, x)","F",0
751,0,0,0,0.000000," ","integrate((b*x)^m*(-b*c*x+c)^n,x, algorithm=""giac"")","\int {\left(-b c x + c\right)}^{n} \left(b x\right)^{m}\,{d x}"," ",0,"integrate((-b*c*x + c)^n*(b*x)^m, x)","F",0
752,0,0,0,0.000000," ","integrate((b*x)^m*(d*x+c)^n,x, algorithm=""giac"")","\int \left(b x\right)^{m} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x)^m*(d*x + c)^n, x)","F",0
753,0,0,0,0.000000," ","integrate(x^(-1+n)*(b*x+a)^(-1-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{-n - 1} x^{n - 1}\,{d x}"," ",0,"integrate((b*x + a)^(-n - 1)*x^(n - 1), x)","F",0
754,0,0,0,0.000000," ","integrate(x^(-3-n)*(b*x+a)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} x^{-n - 3}\,{d x}"," ",0,"integrate((b*x + a)^n*x^(-n - 3), x)","F",0
755,0,0,0,0.000000," ","integrate(x^(-3-n)*(b*x+a)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} x^{-n - 3}\,{d x}"," ",0,"integrate((b*x + a)^n*x^(-n - 3), x)","F",0
756,1,22,0,0.886400," ","integrate(x^3*(b*x+a)*(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{30} \, {\left(5 \, b x^{6} \mathrm{sgn}\left(x\right) + 6 \, a x^{5} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/30*(5*b*x^6*sgn(x) + 6*a*x^5*sgn(x))*sqrt(c)","A",0
757,1,22,0,1.030528," ","integrate(x^2*(b*x+a)*(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{20} \, {\left(4 \, b x^{5} \mathrm{sgn}\left(x\right) + 5 \, a x^{4} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/20*(4*b*x^5*sgn(x) + 5*a*x^4*sgn(x))*sqrt(c)","A",0
758,1,22,0,0.853992," ","integrate(x*(b*x+a)*(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, {\left(3 \, b x^{4} \mathrm{sgn}\left(x\right) + 4 \, a x^{3} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/12*(3*b*x^4*sgn(x) + 4*a*x^3*sgn(x))*sqrt(c)","A",0
759,1,22,0,1.046624," ","integrate((b*x+a)*(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{6} \, {\left(2 \, b x^{3} \mathrm{sgn}\left(x\right) + 3 \, a x^{2} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/6*(2*b*x^3*sgn(x) + 3*a*x^2*sgn(x))*sqrt(c)","A",0
760,1,17,0,1.089830," ","integrate((b*x+a)*(c*x^2)^(1/2)/x,x, algorithm=""giac"")","\frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} \sqrt{c} \mathrm{sgn}\left(x\right)"," ",0,"1/2*(b*x^2 + 2*a*x)*sqrt(c)*sgn(x)","A",0
761,1,17,0,0.924905," ","integrate((b*x+a)*(c*x^2)^(1/2)/x^2,x, algorithm=""giac"")","{\left(b x \mathrm{sgn}\left(x\right) + a \log\left({\left| x \right|}\right) \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"(b*x*sgn(x) + a*log(abs(x))*sgn(x))*sqrt(c)","A",0
762,1,20,0,1.098968," ","integrate((b*x+a)*(c*x^2)^(1/2)/x^3,x, algorithm=""giac"")","{\left(b \log\left({\left| x \right|}\right) \mathrm{sgn}\left(x\right) - \frac{a \mathrm{sgn}\left(x\right)}{x}\right)} \sqrt{c}"," ",0,"(b*log(abs(x))*sgn(x) - a*sgn(x)/x)*sqrt(c)","A",0
763,1,19,0,0.970560," ","integrate((b*x+a)*(c*x^2)^(1/2)/x^4,x, algorithm=""giac"")","-\frac{{\left(2 \, b x \mathrm{sgn}\left(x\right) + a \mathrm{sgn}\left(x\right)\right)} \sqrt{c}}{2 \, x^{2}}"," ",0,"-1/2*(2*b*x*sgn(x) + a*sgn(x))*sqrt(c)/x^2","A",0
764,1,22,0,1.172778," ","integrate(x^3*(c*x^2)^(3/2)*(b*x+a),x, algorithm=""giac"")","\frac{1}{56} \, {\left(7 \, b x^{8} \mathrm{sgn}\left(x\right) + 8 \, a x^{7} \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/56*(7*b*x^8*sgn(x) + 8*a*x^7*sgn(x))*c^(3/2)","A",0
765,1,22,0,0.929217," ","integrate(x^2*(c*x^2)^(3/2)*(b*x+a),x, algorithm=""giac"")","\frac{1}{42} \, {\left(6 \, b x^{7} \mathrm{sgn}\left(x\right) + 7 \, a x^{6} \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/42*(6*b*x^7*sgn(x) + 7*a*x^6*sgn(x))*c^(3/2)","A",0
766,1,22,0,0.993252," ","integrate(x*(c*x^2)^(3/2)*(b*x+a),x, algorithm=""giac"")","\frac{1}{30} \, {\left(5 \, b x^{6} \mathrm{sgn}\left(x\right) + 6 \, a x^{5} \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/30*(5*b*x^6*sgn(x) + 6*a*x^5*sgn(x))*c^(3/2)","A",0
767,1,22,0,0.878220," ","integrate((c*x^2)^(3/2)*(b*x+a),x, algorithm=""giac"")","\frac{1}{20} \, {\left(4 \, b x^{5} \mathrm{sgn}\left(x\right) + 5 \, a x^{4} \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/20*(4*b*x^5*sgn(x) + 5*a*x^4*sgn(x))*c^(3/2)","A",0
768,1,22,0,1.089772," ","integrate((c*x^2)^(3/2)*(b*x+a)/x,x, algorithm=""giac"")","\frac{1}{12} \, {\left(3 \, b x^{4} \mathrm{sgn}\left(x\right) + 4 \, a x^{3} \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/12*(3*b*x^4*sgn(x) + 4*a*x^3*sgn(x))*c^(3/2)","A",0
769,1,22,0,1.082473," ","integrate((c*x^2)^(3/2)*(b*x+a)/x^2,x, algorithm=""giac"")","\frac{1}{6} \, {\left(2 \, b x^{3} \mathrm{sgn}\left(x\right) + 3 \, a x^{2} \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/6*(2*b*x^3*sgn(x) + 3*a*x^2*sgn(x))*c^(3/2)","A",0
770,1,17,0,0.988675," ","integrate((c*x^2)^(3/2)*(b*x+a)/x^3,x, algorithm=""giac"")","\frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} c^{\frac{3}{2}} \mathrm{sgn}\left(x\right)"," ",0,"1/2*(b*x^2 + 2*a*x)*c^(3/2)*sgn(x)","A",0
771,1,17,0,0.958184," ","integrate((c*x^2)^(3/2)*(b*x+a)/x^4,x, algorithm=""giac"")","{\left(b x \mathrm{sgn}\left(x\right) + a \log\left({\left| x \right|}\right) \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"(b*x*sgn(x) + a*log(abs(x))*sgn(x))*c^(3/2)","A",0
772,1,28,0,0.965773," ","integrate(x^3*(c*x^2)^(5/2)*(b*x+a),x, algorithm=""giac"")","\frac{1}{90} \, {\left(9 \, b c^{2} x^{10} \mathrm{sgn}\left(x\right) + 10 \, a c^{2} x^{9} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/90*(9*b*c^2*x^10*sgn(x) + 10*a*c^2*x^9*sgn(x))*sqrt(c)","A",0
773,1,28,0,0.801318," ","integrate(x^2*(c*x^2)^(5/2)*(b*x+a),x, algorithm=""giac"")","\frac{1}{72} \, {\left(8 \, b c^{2} x^{9} \mathrm{sgn}\left(x\right) + 9 \, a c^{2} x^{8} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/72*(8*b*c^2*x^9*sgn(x) + 9*a*c^2*x^8*sgn(x))*sqrt(c)","A",0
774,1,28,0,1.027056," ","integrate(x*(c*x^2)^(5/2)*(b*x+a),x, algorithm=""giac"")","\frac{1}{56} \, {\left(7 \, b c^{2} x^{8} \mathrm{sgn}\left(x\right) + 8 \, a c^{2} x^{7} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/56*(7*b*c^2*x^8*sgn(x) + 8*a*c^2*x^7*sgn(x))*sqrt(c)","A",0
775,1,28,0,0.948120," ","integrate((c*x^2)^(5/2)*(b*x+a),x, algorithm=""giac"")","\frac{1}{42} \, {\left(6 \, b c^{2} x^{7} \mathrm{sgn}\left(x\right) + 7 \, a c^{2} x^{6} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/42*(6*b*c^2*x^7*sgn(x) + 7*a*c^2*x^6*sgn(x))*sqrt(c)","A",0
776,1,28,0,1.073972," ","integrate((c*x^2)^(5/2)*(b*x+a)/x,x, algorithm=""giac"")","\frac{1}{30} \, {\left(5 \, b c^{2} x^{6} \mathrm{sgn}\left(x\right) + 6 \, a c^{2} x^{5} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/30*(5*b*c^2*x^6*sgn(x) + 6*a*c^2*x^5*sgn(x))*sqrt(c)","A",0
777,1,28,0,1.102569," ","integrate((c*x^2)^(5/2)*(b*x+a)/x^2,x, algorithm=""giac"")","\frac{1}{20} \, {\left(4 \, b c^{2} x^{5} \mathrm{sgn}\left(x\right) + 5 \, a c^{2} x^{4} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/20*(4*b*c^2*x^5*sgn(x) + 5*a*c^2*x^4*sgn(x))*sqrt(c)","A",0
778,1,28,0,0.994377," ","integrate((c*x^2)^(5/2)*(b*x+a)/x^3,x, algorithm=""giac"")","\frac{1}{12} \, {\left(3 \, b c^{2} x^{4} \mathrm{sgn}\left(x\right) + 4 \, a c^{2} x^{3} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/12*(3*b*c^2*x^4*sgn(x) + 4*a*c^2*x^3*sgn(x))*sqrt(c)","A",0
779,1,28,0,1.139252," ","integrate((c*x^2)^(5/2)*(b*x+a)/x^4,x, algorithm=""giac"")","\frac{1}{6} \, {\left(2 \, b c^{2} x^{3} \mathrm{sgn}\left(x\right) + 3 \, a c^{2} x^{2} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/6*(2*b*c^2*x^3*sgn(x) + 3*a*c^2*x^2*sgn(x))*sqrt(c)","A",0
780,1,26,0,1.304716," ","integrate(x^3*(b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{c x^{2}} {\left(\frac{3 \, b x}{c} + \frac{4 \, a}{c}\right)} x^{2}"," ",0,"1/12*sqrt(c*x^2)*(3*b*x/c + 4*a/c)*x^2","A",0
781,1,24,0,1.157923," ","integrate(x^2*(b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{c x^{2}} {\left(\frac{2 \, b x}{c} + \frac{3 \, a}{c}\right)} x"," ",0,"1/6*sqrt(c*x^2)*(2*b*x/c + 3*a/c)*x","A",0
782,1,22,0,1.105129," ","integrate(x*(b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{c x^{2}} {\left(\frac{b x}{c} + \frac{2 \, a}{c}\right)}"," ",0,"1/2*sqrt(c*x^2)*(b*x/c + 2*a/c)","A",0
783,1,35,0,1.321171," ","integrate((b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","-\frac{a \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right)}{\sqrt{c}} + \frac{\sqrt{c x^{2}} b}{c}"," ",0,"-a*log(abs(-sqrt(c)*x + sqrt(c*x^2)))/sqrt(c) + sqrt(c*x^2)*b/c","A",0
784,1,47,0,0.983844," ","integrate((b*x+a)/x/(c*x^2)^(1/2),x, algorithm=""giac"")","-\frac{b \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right) - \frac{2 \, a \sqrt{c}}{\sqrt{c} x - \sqrt{c x^{2}}}}{\sqrt{c}}"," ",0,"-(b*log(abs(-sqrt(c)*x + sqrt(c*x^2))) - 2*a*sqrt(c)/(sqrt(c)*x - sqrt(c*x^2)))/sqrt(c)","B",0
785,0,0,0,0.000000," ","integrate((b*x+a)/x^2/(c*x^2)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
786,0,0,0,0.000000," ","integrate((b*x+a)/x^3/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{b x + a}{\sqrt{c x^{2}} x^{3}}\,{d x}"," ",0,"integrate((b*x + a)/(sqrt(c*x^2)*x^3), x)","F",0
787,0,0,0,0.000000," ","integrate((b*x+a)/x^4/(c*x^2)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
788,1,25,0,1.014169," ","integrate(x^3*(b*x+a)/(c*x^2)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{c x^{2}} {\left(\frac{b x}{c} + \frac{2 \, a}{c}\right)}}{2 \, c}"," ",0,"1/2*sqrt(c*x^2)*(b*x/c + 2*a/c)/c","A",0
789,1,40,0,0.985959," ","integrate(x^2*(b*x+a)/(c*x^2)^(3/2),x, algorithm=""giac"")","-\frac{\frac{a \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right)}{\sqrt{c}} - \frac{\sqrt{c x^{2}} b}{c}}{c}"," ",0,"-(a*log(abs(-sqrt(c)*x + sqrt(c*x^2)))/sqrt(c) - sqrt(c*x^2)*b/c)/c","A",0
790,1,47,0,1.224424," ","integrate(x*(b*x+a)/(c*x^2)^(3/2),x, algorithm=""giac"")","-\frac{b \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right) - \frac{2 \, a \sqrt{c}}{\sqrt{c} x - \sqrt{c x^{2}}}}{c^{\frac{3}{2}}}"," ",0,"-(b*log(abs(-sqrt(c)*x + sqrt(c*x^2))) - 2*a*sqrt(c)/(sqrt(c)*x - sqrt(c*x^2)))/c^(3/2)","A",0
791,0,0,0,0.000000," ","integrate((b*x+a)/(c*x^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
792,0,0,0,0.000000," ","integrate((b*x+a)/x/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{b x + a}{\left(c x^{2}\right)^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate((b*x + a)/((c*x^2)^(3/2)*x), x)","F",0
793,0,0,0,0.000000," ","integrate((b*x+a)/x^2/(c*x^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
794,0,0,0,0.000000," ","integrate((b*x+a)/x^3/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{b x + a}{\left(c x^{2}\right)^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate((b*x + a)/((c*x^2)^(3/2)*x^3), x)","F",0
795,0,0,0,0.000000," ","integrate((b*x+a)/x^4/(c*x^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
796,1,47,0,1.015342," ","integrate(x^3*(b*x+a)/(c*x^2)^(5/2),x, algorithm=""giac"")","-\frac{b \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right) - \frac{2 \, a \sqrt{c}}{\sqrt{c} x - \sqrt{c x^{2}}}}{c^{\frac{5}{2}}}"," ",0,"-(b*log(abs(-sqrt(c)*x + sqrt(c*x^2))) - 2*a*sqrt(c)/(sqrt(c)*x - sqrt(c*x^2)))/c^(5/2)","A",0
797,0,0,0,0.000000," ","integrate(x^2*(b*x+a)/(c*x^2)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
798,0,0,0,0.000000," ","integrate(x*(b*x+a)/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)} x}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)*x/(c*x^2)^(5/2), x)","F",0
799,0,0,0,0.000000," ","integrate((b*x+a)/(c*x^2)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
800,0,0,0,0.000000," ","integrate((b*x+a)/x/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{b x + a}{\left(c x^{2}\right)^{\frac{5}{2}} x}\,{d x}"," ",0,"integrate((b*x + a)/((c*x^2)^(5/2)*x), x)","F",0
801,0,0,0,0.000000," ","integrate((b*x+a)/x^2/(c*x^2)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
802,0,0,0,0.000000," ","integrate((b*x+a)/x^3/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{b x + a}{\left(c x^{2}\right)^{\frac{5}{2}} x^{3}}\,{d x}"," ",0,"integrate((b*x + a)/((c*x^2)^(5/2)*x^3), x)","F",0
803,0,0,0,0.000000," ","integrate((b*x+a)/x^4/(c*x^2)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
804,1,35,0,1.077874," ","integrate(x^3*(b*x+a)^2*(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{105} \, {\left(15 \, b^{2} x^{7} \mathrm{sgn}\left(x\right) + 35 \, a b x^{6} \mathrm{sgn}\left(x\right) + 21 \, a^{2} x^{5} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/105*(15*b^2*x^7*sgn(x) + 35*a*b*x^6*sgn(x) + 21*a^2*x^5*sgn(x))*sqrt(c)","A",0
805,1,35,0,1.042495," ","integrate(x^2*(b*x+a)^2*(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{60} \, {\left(10 \, b^{2} x^{6} \mathrm{sgn}\left(x\right) + 24 \, a b x^{5} \mathrm{sgn}\left(x\right) + 15 \, a^{2} x^{4} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/60*(10*b^2*x^6*sgn(x) + 24*a*b*x^5*sgn(x) + 15*a^2*x^4*sgn(x))*sqrt(c)","A",0
806,1,35,0,1.110183," ","integrate(x*(b*x+a)^2*(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{30} \, {\left(6 \, b^{2} x^{5} \mathrm{sgn}\left(x\right) + 15 \, a b x^{4} \mathrm{sgn}\left(x\right) + 10 \, a^{2} x^{3} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/30*(6*b^2*x^5*sgn(x) + 15*a*b*x^4*sgn(x) + 10*a^2*x^3*sgn(x))*sqrt(c)","A",0
807,1,35,0,0.948022," ","integrate((b*x+a)^2*(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, {\left(3 \, b^{2} x^{4} \mathrm{sgn}\left(x\right) + 8 \, a b x^{3} \mathrm{sgn}\left(x\right) + 6 \, a^{2} x^{2} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/12*(3*b^2*x^4*sgn(x) + 8*a*b*x^3*sgn(x) + 6*a^2*x^2*sgn(x))*sqrt(c)","A",0
808,1,29,0,0.971588," ","integrate((b*x+a)^2*(c*x^2)^(1/2)/x,x, algorithm=""giac"")","\frac{1}{3} \, {\left(\frac{{\left(b x + a\right)}^{3} \mathrm{sgn}\left(x\right)}{b} - \frac{a^{3} \mathrm{sgn}\left(x\right)}{b}\right)} \sqrt{c}"," ",0,"1/3*((b*x + a)^3*sgn(x)/b - a^3*sgn(x)/b)*sqrt(c)","A",0
809,1,32,0,1.080567," ","integrate((b*x+a)^2*(c*x^2)^(1/2)/x^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(b^{2} x^{2} \mathrm{sgn}\left(x\right) + 4 \, a b x \mathrm{sgn}\left(x\right) + 2 \, a^{2} \log\left({\left| x \right|}\right) \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/2*(b^2*x^2*sgn(x) + 4*a*b*x*sgn(x) + 2*a^2*log(abs(x))*sgn(x))*sqrt(c)","A",0
810,1,31,0,1.015183," ","integrate((b*x+a)^2*(c*x^2)^(1/2)/x^3,x, algorithm=""giac"")","{\left(b^{2} x \mathrm{sgn}\left(x\right) + 2 \, a b \log\left({\left| x \right|}\right) \mathrm{sgn}\left(x\right) - \frac{a^{2} \mathrm{sgn}\left(x\right)}{x}\right)} \sqrt{c}"," ",0,"(b^2*x*sgn(x) + 2*a*b*log(abs(x))*sgn(x) - a^2*sgn(x)/x)*sqrt(c)","A",0
811,1,35,0,0.987161," ","integrate((b*x+a)^2*(c*x^2)^(1/2)/x^4,x, algorithm=""giac"")","\frac{1}{2} \, {\left(2 \, b^{2} \log\left({\left| x \right|}\right) \mathrm{sgn}\left(x\right) - \frac{4 \, a b x \mathrm{sgn}\left(x\right) + a^{2} \mathrm{sgn}\left(x\right)}{x^{2}}\right)} \sqrt{c}"," ",0,"1/2*(2*b^2*log(abs(x))*sgn(x) - (4*a*b*x*sgn(x) + a^2*sgn(x))/x^2)*sqrt(c)","A",0
812,1,35,0,1.086480," ","integrate(x^3*(c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{252} \, {\left(28 \, b^{2} x^{9} \mathrm{sgn}\left(x\right) + 63 \, a b x^{8} \mathrm{sgn}\left(x\right) + 36 \, a^{2} x^{7} \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/252*(28*b^2*x^9*sgn(x) + 63*a*b*x^8*sgn(x) + 36*a^2*x^7*sgn(x))*c^(3/2)","A",0
813,1,35,0,1.084970," ","integrate(x^2*(c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{168} \, {\left(21 \, b^{2} x^{8} \mathrm{sgn}\left(x\right) + 48 \, a b x^{7} \mathrm{sgn}\left(x\right) + 28 \, a^{2} x^{6} \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/168*(21*b^2*x^8*sgn(x) + 48*a*b*x^7*sgn(x) + 28*a^2*x^6*sgn(x))*c^(3/2)","A",0
814,1,35,0,1.184579," ","integrate(x*(c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{105} \, {\left(15 \, b^{2} x^{7} \mathrm{sgn}\left(x\right) + 35 \, a b x^{6} \mathrm{sgn}\left(x\right) + 21 \, a^{2} x^{5} \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/105*(15*b^2*x^7*sgn(x) + 35*a*b*x^6*sgn(x) + 21*a^2*x^5*sgn(x))*c^(3/2)","A",0
815,1,35,0,1.129419," ","integrate((c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{60} \, {\left(10 \, b^{2} x^{6} \mathrm{sgn}\left(x\right) + 24 \, a b x^{5} \mathrm{sgn}\left(x\right) + 15 \, a^{2} x^{4} \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/60*(10*b^2*x^6*sgn(x) + 24*a*b*x^5*sgn(x) + 15*a^2*x^4*sgn(x))*c^(3/2)","A",0
816,1,35,0,0.950727," ","integrate((c*x^2)^(3/2)*(b*x+a)^2/x,x, algorithm=""giac"")","\frac{1}{30} \, {\left(6 \, b^{2} x^{5} \mathrm{sgn}\left(x\right) + 15 \, a b x^{4} \mathrm{sgn}\left(x\right) + 10 \, a^{2} x^{3} \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/30*(6*b^2*x^5*sgn(x) + 15*a*b*x^4*sgn(x) + 10*a^2*x^3*sgn(x))*c^(3/2)","A",0
817,1,35,0,1.025797," ","integrate((c*x^2)^(3/2)*(b*x+a)^2/x^2,x, algorithm=""giac"")","\frac{1}{12} \, {\left(3 \, b^{2} x^{4} \mathrm{sgn}\left(x\right) + 8 \, a b x^{3} \mathrm{sgn}\left(x\right) + 6 \, a^{2} x^{2} \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/12*(3*b^2*x^4*sgn(x) + 8*a*b*x^3*sgn(x) + 6*a^2*x^2*sgn(x))*c^(3/2)","A",0
818,1,29,0,1.223640," ","integrate((c*x^2)^(3/2)*(b*x+a)^2/x^3,x, algorithm=""giac"")","\frac{1}{3} \, {\left(\frac{{\left(b x + a\right)}^{3} \mathrm{sgn}\left(x\right)}{b} - \frac{a^{3} \mathrm{sgn}\left(x\right)}{b}\right)} c^{\frac{3}{2}}"," ",0,"1/3*((b*x + a)^3*sgn(x)/b - a^3*sgn(x)/b)*c^(3/2)","A",0
819,1,32,0,1.198462," ","integrate((c*x^2)^(3/2)*(b*x+a)^2/x^4,x, algorithm=""giac"")","\frac{1}{2} \, {\left(b^{2} x^{2} \mathrm{sgn}\left(x\right) + 4 \, a b x \mathrm{sgn}\left(x\right) + 2 \, a^{2} \log\left({\left| x \right|}\right) \mathrm{sgn}\left(x\right)\right)} c^{\frac{3}{2}}"," ",0,"1/2*(b^2*x^2*sgn(x) + 4*a*b*x*sgn(x) + 2*a^2*log(abs(x))*sgn(x))*c^(3/2)","A",0
820,1,44,0,1.221231," ","integrate(x*(c*x^2)^(5/2)*(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{252} \, {\left(28 \, b^{2} c^{2} x^{9} \mathrm{sgn}\left(x\right) + 63 \, a b c^{2} x^{8} \mathrm{sgn}\left(x\right) + 36 \, a^{2} c^{2} x^{7} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/252*(28*b^2*c^2*x^9*sgn(x) + 63*a*b*c^2*x^8*sgn(x) + 36*a^2*c^2*x^7*sgn(x))*sqrt(c)","A",0
821,1,44,0,1.048483," ","integrate((c*x^2)^(5/2)*(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{168} \, {\left(21 \, b^{2} c^{2} x^{8} \mathrm{sgn}\left(x\right) + 48 \, a b c^{2} x^{7} \mathrm{sgn}\left(x\right) + 28 \, a^{2} c^{2} x^{6} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/168*(21*b^2*c^2*x^8*sgn(x) + 48*a*b*c^2*x^7*sgn(x) + 28*a^2*c^2*x^6*sgn(x))*sqrt(c)","A",0
822,1,44,0,0.956450," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x,x, algorithm=""giac"")","\frac{1}{105} \, {\left(15 \, b^{2} c^{2} x^{7} \mathrm{sgn}\left(x\right) + 35 \, a b c^{2} x^{6} \mathrm{sgn}\left(x\right) + 21 \, a^{2} c^{2} x^{5} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/105*(15*b^2*c^2*x^7*sgn(x) + 35*a*b*c^2*x^6*sgn(x) + 21*a^2*c^2*x^5*sgn(x))*sqrt(c)","A",0
823,1,44,0,0.991170," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^2,x, algorithm=""giac"")","\frac{1}{60} \, {\left(10 \, b^{2} c^{2} x^{6} \mathrm{sgn}\left(x\right) + 24 \, a b c^{2} x^{5} \mathrm{sgn}\left(x\right) + 15 \, a^{2} c^{2} x^{4} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/60*(10*b^2*c^2*x^6*sgn(x) + 24*a*b*c^2*x^5*sgn(x) + 15*a^2*c^2*x^4*sgn(x))*sqrt(c)","A",0
824,1,44,0,0.942444," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^3,x, algorithm=""giac"")","\frac{1}{30} \, {\left(6 \, b^{2} c^{2} x^{5} \mathrm{sgn}\left(x\right) + 15 \, a b c^{2} x^{4} \mathrm{sgn}\left(x\right) + 10 \, a^{2} c^{2} x^{3} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/30*(6*b^2*c^2*x^5*sgn(x) + 15*a*b*c^2*x^4*sgn(x) + 10*a^2*c^2*x^3*sgn(x))*sqrt(c)","A",0
825,1,44,0,1.053301," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^4,x, algorithm=""giac"")","\frac{1}{12} \, {\left(3 \, b^{2} c^{2} x^{4} \mathrm{sgn}\left(x\right) + 8 \, a b c^{2} x^{3} \mathrm{sgn}\left(x\right) + 6 \, a^{2} c^{2} x^{2} \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/12*(3*b^2*c^2*x^4*sgn(x) + 8*a*b*c^2*x^3*sgn(x) + 6*a^2*c^2*x^2*sgn(x))*sqrt(c)","A",0
826,1,41,0,1.115717," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^5,x, algorithm=""giac"")","\frac{1}{3} \, {\left(b^{2} c^{2} x^{3} \mathrm{sgn}\left(x\right) + 3 \, a b c^{2} x^{2} \mathrm{sgn}\left(x\right) + 3 \, a^{2} c^{2} x \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/3*(b^2*c^2*x^3*sgn(x) + 3*a*b*c^2*x^2*sgn(x) + 3*a^2*c^2*x*sgn(x))*sqrt(c)","A",0
827,1,41,0,1.081650," ","integrate((c*x^2)^(5/2)*(b*x+a)^2/x^6,x, algorithm=""giac"")","\frac{1}{2} \, {\left(b^{2} c^{2} x^{2} \mathrm{sgn}\left(x\right) + 4 \, a b c^{2} x \mathrm{sgn}\left(x\right) + 2 \, a^{2} c^{2} \log\left({\left| x \right|}\right) \mathrm{sgn}\left(x\right)\right)} \sqrt{c}"," ",0,"1/2*(b^2*c^2*x^2*sgn(x) + 4*a*b*c^2*x*sgn(x) + 2*a^2*c^2*log(abs(x))*sgn(x))*sqrt(c)","A",0
828,1,41,0,0.943303," ","integrate(x^3*(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{30} \, \sqrt{c x^{2}} {\left(3 \, {\left(\frac{2 \, b^{2} x}{c} + \frac{5 \, a b}{c}\right)} x + \frac{10 \, a^{2}}{c}\right)} x^{2}"," ",0,"1/30*sqrt(c*x^2)*(3*(2*b^2*x/c + 5*a*b/c)*x + 10*a^2/c)*x^2","A",0
829,1,38,0,1.251616," ","integrate(x^2*(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{c x^{2}} {\left({\left(\frac{3 \, b^{2} x}{c} + \frac{8 \, a b}{c}\right)} x + \frac{6 \, a^{2}}{c}\right)} x"," ",0,"1/12*sqrt(c*x^2)*((3*b^2*x/c + 8*a*b/c)*x + 6*a^2/c)*x","A",0
830,1,36,0,1.146828," ","integrate(x*(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{c x^{2}} {\left({\left(\frac{b^{2} x}{c} + \frac{3 \, a b}{c}\right)} x + \frac{3 \, a^{2}}{c}\right)}"," ",0,"1/3*sqrt(c*x^2)*((b^2*x/c + 3*a*b/c)*x + 3*a^2/c)","A",0
831,1,50,0,1.118313," ","integrate((b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","-\frac{a^{2} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right)}{\sqrt{c}} + \frac{1}{2} \, \sqrt{c x^{2}} {\left(\frac{b^{2} x}{c} + \frac{4 \, a b}{c}\right)}"," ",0,"-a^2*log(abs(-sqrt(c)*x + sqrt(c*x^2)))/sqrt(c) + 1/2*sqrt(c*x^2)*(b^2*x/c + 4*a*b/c)","A",0
832,1,65,0,0.942607," ","integrate((b*x+a)^2/x/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{c x^{2}} b^{2}}{c} - \frac{2 \, {\left(a b \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right) - \frac{a^{2} \sqrt{c}}{\sqrt{c} x - \sqrt{c x^{2}}}\right)}}{\sqrt{c}}"," ",0,"sqrt(c*x^2)*b^2/c - 2*(a*b*log(abs(-sqrt(c)*x + sqrt(c*x^2))) - a^2*sqrt(c)/(sqrt(c)*x - sqrt(c*x^2)))/sqrt(c)","A",0
833,0,0,0,0.000000," ","integrate((b*x+a)^2/x^2/(c*x^2)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
834,0,0,0,0.000000," ","integrate((b*x+a)^2/x^3/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{2}}{\sqrt{c x^{2}} x^{3}}\,{d x}"," ",0,"integrate((b*x + a)^2/(sqrt(c*x^2)*x^3), x)","F",0
835,0,0,0,0.000000," ","integrate((b*x+a)^2/x^4/(c*x^2)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
836,1,39,0,1.054474," ","integrate(x^3*(b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{c x^{2}} {\left({\left(\frac{b^{2} x}{c} + \frac{3 \, a b}{c}\right)} x + \frac{3 \, a^{2}}{c}\right)}}{3 \, c}"," ",0,"1/3*sqrt(c*x^2)*((b^2*x/c + 3*a*b/c)*x + 3*a^2/c)/c","A",0
837,1,55,0,1.096186," ","integrate(x^2*(b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""giac"")","-\frac{\frac{2 \, a^{2} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right)}{\sqrt{c}} - \sqrt{c x^{2}} {\left(\frac{b^{2} x}{c} + \frac{4 \, a b}{c}\right)}}{2 \, c}"," ",0,"-1/2*(2*a^2*log(abs(-sqrt(c)*x + sqrt(c*x^2)))/sqrt(c) - sqrt(c*x^2)*(b^2*x/c + 4*a*b/c))/c","A",0
838,1,69,0,1.083290," ","integrate(x*(b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""giac"")","\frac{\frac{\sqrt{c x^{2}} b^{2}}{c} - \frac{2 \, {\left(a b \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right) - \frac{a^{2} \sqrt{c}}{\sqrt{c} x - \sqrt{c x^{2}}}\right)}}{\sqrt{c}}}{c}"," ",0,"(sqrt(c*x^2)*b^2/c - 2*(a*b*log(abs(-sqrt(c)*x + sqrt(c*x^2))) - a^2*sqrt(c)/(sqrt(c)*x - sqrt(c*x^2)))/sqrt(c))/c","A",0
839,0,0,0,0.000000," ","integrate((b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
840,0,0,0,0.000000," ","integrate((b*x+a)^2/x/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{2}}{\left(c x^{2}\right)^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate((b*x + a)^2/((c*x^2)^(3/2)*x), x)","F",0
841,0,0,0,0.000000," ","integrate((b*x+a)^2/x^2/(c*x^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
842,0,0,0,0.000000," ","integrate((b*x+a)^2/x^3/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{2}}{\left(c x^{2}\right)^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate((b*x + a)^2/((c*x^2)^(3/2)*x^3), x)","F",0
843,0,0,0,0.000000," ","integrate((b*x+a)^2/x^4/(c*x^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
844,1,65,0,1.066423," ","integrate(x^3*(b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""giac"")","\frac{\sqrt{c x^{2}} b^{2}}{c^{3}} - \frac{2 \, {\left(a b \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right) - \frac{a^{2} \sqrt{c}}{\sqrt{c} x - \sqrt{c x^{2}}}\right)}}{c^{\frac{5}{2}}}"," ",0,"sqrt(c*x^2)*b^2/c^3 - 2*(a*b*log(abs(-sqrt(c)*x + sqrt(c*x^2))) - a^2*sqrt(c)/(sqrt(c)*x - sqrt(c*x^2)))/c^(5/2)","A",0
845,0,0,0,0.000000," ","integrate(x^2*(b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
846,0,0,0,0.000000," ","integrate(x*(b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{2} x}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^2*x/(c*x^2)^(5/2), x)","F",0
847,0,0,0,0.000000," ","integrate((b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
848,0,0,0,0.000000," ","integrate((b*x+a)^2/x/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{2}}{\left(c x^{2}\right)^{\frac{5}{2}} x}\,{d x}"," ",0,"integrate((b*x + a)^2/((c*x^2)^(5/2)*x), x)","F",0
849,0,0,0,0.000000," ","integrate((b*x+a)^2/x^2/(c*x^2)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
850,0,0,0,0.000000," ","integrate((b*x+a)^2/x^3/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{2}}{\left(c x^{2}\right)^{\frac{5}{2}} x^{3}}\,{d x}"," ",0,"integrate((b*x + a)^2/((c*x^2)^(5/2)*x^3), x)","F",0
851,0,0,0,0.000000," ","integrate((b*x+a)^2/x^4/(c*x^2)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
852,1,81,0,1.106384," ","integrate(x^3*(c*x^2)^(1/2)/(b*x+a),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{c} {\left(\frac{12 \, a^{4} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{5}} - \frac{12 \, a^{4} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{5}} + \frac{3 \, b^{3} x^{4} \mathrm{sgn}\left(x\right) - 4 \, a b^{2} x^{3} \mathrm{sgn}\left(x\right) + 6 \, a^{2} b x^{2} \mathrm{sgn}\left(x\right) - 12 \, a^{3} x \mathrm{sgn}\left(x\right)}{b^{4}}\right)}"," ",0,"1/12*sqrt(c)*(12*a^4*log(abs(b*x + a))*sgn(x)/b^5 - 12*a^4*log(abs(a))*sgn(x)/b^5 + (3*b^3*x^4*sgn(x) - 4*a*b^2*x^3*sgn(x) + 6*a^2*b*x^2*sgn(x) - 12*a^3*x*sgn(x))/b^4)","A",0
853,1,69,0,0.943524," ","integrate(x^2*(c*x^2)^(1/2)/(b*x+a),x, algorithm=""giac"")","-\frac{1}{6} \, \sqrt{c} {\left(\frac{6 \, a^{3} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{4}} - \frac{6 \, a^{3} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{4}} - \frac{2 \, b^{2} x^{3} \mathrm{sgn}\left(x\right) - 3 \, a b x^{2} \mathrm{sgn}\left(x\right) + 6 \, a^{2} x \mathrm{sgn}\left(x\right)}{b^{3}}\right)}"," ",0,"-1/6*sqrt(c)*(6*a^3*log(abs(b*x + a))*sgn(x)/b^4 - 6*a^3*log(abs(a))*sgn(x)/b^4 - (2*b^2*x^3*sgn(x) - 3*a*b*x^2*sgn(x) + 6*a^2*x*sgn(x))/b^3)","A",0
854,1,54,0,1.015245," ","integrate(x*(c*x^2)^(1/2)/(b*x+a),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{c} {\left(\frac{2 \, a^{2} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{3}} - \frac{2 \, a^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{3}} + \frac{b x^{2} \mathrm{sgn}\left(x\right) - 2 \, a x \mathrm{sgn}\left(x\right)}{b^{2}}\right)}"," ",0,"1/2*sqrt(c)*(2*a^2*log(abs(b*x + a))*sgn(x)/b^3 - 2*a^2*log(abs(a))*sgn(x)/b^3 + (b*x^2*sgn(x) - 2*a*x*sgn(x))/b^2)","A",0
855,1,37,0,0.961583," ","integrate((c*x^2)^(1/2)/(b*x+a),x, algorithm=""giac"")","\sqrt{c} {\left(\frac{x \mathrm{sgn}\left(x\right)}{b} - \frac{a \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{2}} + \frac{a \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{2}}\right)}"," ",0,"sqrt(c)*(x*sgn(x)/b - a*log(abs(b*x + a))*sgn(x)/b^2 + a*log(abs(a))*sgn(x)/b^2)","A",0
856,1,28,0,0.948867," ","integrate((c*x^2)^(1/2)/x/(b*x+a),x, algorithm=""giac"")","\sqrt{c} {\left(\frac{\log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b} - \frac{\log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b}\right)}"," ",0,"sqrt(c)*(log(abs(b*x + a))*sgn(x)/b - log(abs(a))*sgn(x)/b)","A",0
857,-2,0,0,0.000000," ","integrate((c*x^2)^(1/2)/x^2/(b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
858,-2,0,0,0.000000," ","integrate((c*x^2)^(1/2)/x^3/(b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
859,-2,0,0,0.000000," ","integrate((c*x^2)^(1/2)/x^4/(b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
860,1,81,0,0.998096," ","integrate(x*(c*x^2)^(3/2)/(b*x+a),x, algorithm=""giac"")","\frac{1}{12} \, c^{\frac{3}{2}} {\left(\frac{12 \, a^{4} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{5}} - \frac{12 \, a^{4} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{5}} + \frac{3 \, b^{3} x^{4} \mathrm{sgn}\left(x\right) - 4 \, a b^{2} x^{3} \mathrm{sgn}\left(x\right) + 6 \, a^{2} b x^{2} \mathrm{sgn}\left(x\right) - 12 \, a^{3} x \mathrm{sgn}\left(x\right)}{b^{4}}\right)}"," ",0,"1/12*c^(3/2)*(12*a^4*log(abs(b*x + a))*sgn(x)/b^5 - 12*a^4*log(abs(a))*sgn(x)/b^5 + (3*b^3*x^4*sgn(x) - 4*a*b^2*x^3*sgn(x) + 6*a^2*b*x^2*sgn(x) - 12*a^3*x*sgn(x))/b^4)","A",0
861,1,69,0,1.154952," ","integrate((c*x^2)^(3/2)/(b*x+a),x, algorithm=""giac"")","-\frac{1}{6} \, c^{\frac{3}{2}} {\left(\frac{6 \, a^{3} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{4}} - \frac{6 \, a^{3} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{4}} - \frac{2 \, b^{2} x^{3} \mathrm{sgn}\left(x\right) - 3 \, a b x^{2} \mathrm{sgn}\left(x\right) + 6 \, a^{2} x \mathrm{sgn}\left(x\right)}{b^{3}}\right)}"," ",0,"-1/6*c^(3/2)*(6*a^3*log(abs(b*x + a))*sgn(x)/b^4 - 6*a^3*log(abs(a))*sgn(x)/b^4 - (2*b^2*x^3*sgn(x) - 3*a*b*x^2*sgn(x) + 6*a^2*x*sgn(x))/b^3)","A",0
862,1,54,0,1.118650," ","integrate((c*x^2)^(3/2)/x/(b*x+a),x, algorithm=""giac"")","\frac{1}{2} \, c^{\frac{3}{2}} {\left(\frac{2 \, a^{2} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{3}} - \frac{2 \, a^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{3}} + \frac{b x^{2} \mathrm{sgn}\left(x\right) - 2 \, a x \mathrm{sgn}\left(x\right)}{b^{2}}\right)}"," ",0,"1/2*c^(3/2)*(2*a^2*log(abs(b*x + a))*sgn(x)/b^3 - 2*a^2*log(abs(a))*sgn(x)/b^3 + (b*x^2*sgn(x) - 2*a*x*sgn(x))/b^2)","A",0
863,1,37,0,0.998319," ","integrate((c*x^2)^(3/2)/x^2/(b*x+a),x, algorithm=""giac"")","c^{\frac{3}{2}} {\left(\frac{x \mathrm{sgn}\left(x\right)}{b} - \frac{a \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{2}} + \frac{a \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{2}}\right)}"," ",0,"c^(3/2)*(x*sgn(x)/b - a*log(abs(b*x + a))*sgn(x)/b^2 + a*log(abs(a))*sgn(x)/b^2)","A",0
864,1,28,0,1.136775," ","integrate((c*x^2)^(3/2)/x^3/(b*x+a),x, algorithm=""giac"")","c^{\frac{3}{2}} {\left(\frac{\log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b} - \frac{\log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b}\right)}"," ",0,"c^(3/2)*(log(abs(b*x + a))*sgn(x)/b - log(abs(a))*sgn(x)/b)","A",0
865,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)/x^4/(b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
866,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)/x^5/(b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
867,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)/x^6/(b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
868,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)/x^7/(b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
869,1,116,0,1.184039," ","integrate((c*x^2)^(5/2)/(b*x+a),x, algorithm=""giac"")","-\frac{1}{60} \, {\left(\frac{60 \, a^{5} c^{2} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{6}} - \frac{60 \, a^{5} c^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{6}} - \frac{12 \, b^{4} c^{2} x^{5} \mathrm{sgn}\left(x\right) - 15 \, a b^{3} c^{2} x^{4} \mathrm{sgn}\left(x\right) + 20 \, a^{2} b^{2} c^{2} x^{3} \mathrm{sgn}\left(x\right) - 30 \, a^{3} b c^{2} x^{2} \mathrm{sgn}\left(x\right) + 60 \, a^{4} c^{2} x \mathrm{sgn}\left(x\right)}{b^{5}}\right)} \sqrt{c}"," ",0,"-1/60*(60*a^5*c^2*log(abs(b*x + a))*sgn(x)/b^6 - 60*a^5*c^2*log(abs(a))*sgn(x)/b^6 - (12*b^4*c^2*x^5*sgn(x) - 15*a*b^3*c^2*x^4*sgn(x) + 20*a^2*b^2*c^2*x^3*sgn(x) - 30*a^3*b*c^2*x^2*sgn(x) + 60*a^4*c^2*x*sgn(x))/b^5)*sqrt(c)","A",0
870,1,99,0,1.011489," ","integrate((c*x^2)^(5/2)/x/(b*x+a),x, algorithm=""giac"")","\frac{1}{12} \, {\left(\frac{12 \, a^{4} c^{2} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{5}} - \frac{12 \, a^{4} c^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{5}} + \frac{3 \, b^{3} c^{2} x^{4} \mathrm{sgn}\left(x\right) - 4 \, a b^{2} c^{2} x^{3} \mathrm{sgn}\left(x\right) + 6 \, a^{2} b c^{2} x^{2} \mathrm{sgn}\left(x\right) - 12 \, a^{3} c^{2} x \mathrm{sgn}\left(x\right)}{b^{4}}\right)} \sqrt{c}"," ",0,"1/12*(12*a^4*c^2*log(abs(b*x + a))*sgn(x)/b^5 - 12*a^4*c^2*log(abs(a))*sgn(x)/b^5 + (3*b^3*c^2*x^4*sgn(x) - 4*a*b^2*c^2*x^3*sgn(x) + 6*a^2*b*c^2*x^2*sgn(x) - 12*a^3*c^2*x*sgn(x))/b^4)*sqrt(c)","A",0
871,1,84,0,0.960042," ","integrate((c*x^2)^(5/2)/x^2/(b*x+a),x, algorithm=""giac"")","-\frac{1}{6} \, {\left(\frac{6 \, a^{3} c^{2} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{4}} - \frac{6 \, a^{3} c^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{4}} - \frac{2 \, b^{2} c^{2} x^{3} \mathrm{sgn}\left(x\right) - 3 \, a b c^{2} x^{2} \mathrm{sgn}\left(x\right) + 6 \, a^{2} c^{2} x \mathrm{sgn}\left(x\right)}{b^{3}}\right)} \sqrt{c}"," ",0,"-1/6*(6*a^3*c^2*log(abs(b*x + a))*sgn(x)/b^4 - 6*a^3*c^2*log(abs(a))*sgn(x)/b^4 - (2*b^2*c^2*x^3*sgn(x) - 3*a*b*c^2*x^2*sgn(x) + 6*a^2*c^2*x*sgn(x))/b^3)*sqrt(c)","A",0
872,1,66,0,1.133777," ","integrate((c*x^2)^(5/2)/x^3/(b*x+a),x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{2 \, a^{2} c^{2} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{3}} - \frac{2 \, a^{2} c^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{3}} + \frac{b c^{2} x^{2} \mathrm{sgn}\left(x\right) - 2 \, a c^{2} x \mathrm{sgn}\left(x\right)}{b^{2}}\right)} \sqrt{c}"," ",0,"1/2*(2*a^2*c^2*log(abs(b*x + a))*sgn(x)/b^3 - 2*a^2*c^2*log(abs(a))*sgn(x)/b^3 + (b*c^2*x^2*sgn(x) - 2*a*c^2*x*sgn(x))/b^2)*sqrt(c)","A",0
873,1,46,0,1.043457," ","integrate((c*x^2)^(5/2)/x^4/(b*x+a),x, algorithm=""giac"")","{\left(\frac{c^{2} x \mathrm{sgn}\left(x\right)}{b} - \frac{a c^{2} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{2}} + \frac{a c^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{2}}\right)} \sqrt{c}"," ",0,"(c^2*x*sgn(x)/b - a*c^2*log(abs(b*x + a))*sgn(x)/b^2 + a*c^2*log(abs(a))*sgn(x)/b^2)*sqrt(c)","A",0
874,1,34,0,1.101745," ","integrate((c*x^2)^(5/2)/x^5/(b*x+a),x, algorithm=""giac"")","{\left(\frac{c^{2} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b} - \frac{c^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(x\right)}{b}\right)} \sqrt{c}"," ",0,"(c^2*log(abs(b*x + a))*sgn(x)/b - c^2*log(abs(a))*sgn(x)/b)*sqrt(c)","A",0
875,-2,0,0,0.000000," ","integrate((c*x^2)^(5/2)/x^6/(b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
876,-2,0,0,0.000000," ","integrate((c*x^2)^(5/2)/x^7/(b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
877,1,81,0,1.152858," ","integrate(x^4/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{c x^{2}} {\left(x {\left(\frac{2 \, x}{b c} - \frac{3 \, a}{b^{2} c}\right)} + \frac{6 \, a^{2}}{b^{3} c}\right)} + \frac{a^{3} \log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} b \sqrt{c} - 2 \, a c \right|}\right)}{b^{4} \sqrt{c}}"," ",0,"1/6*sqrt(c*x^2)*(x*(2*x/(b*c) - 3*a/(b^2*c)) + 6*a^2/(b^3*c)) + a^3*log(abs(-(sqrt(c)*x - sqrt(c*x^2))*b*sqrt(c) - 2*a*c))/(b^4*sqrt(c))","A",0
878,1,67,0,1.086971," ","integrate(x^3/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{c x^{2}} {\left(\frac{x}{b c} - \frac{2 \, a}{b^{2} c}\right)} - \frac{a^{2} \log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} b \sqrt{c} - 2 \, a c \right|}\right)}{b^{3} \sqrt{c}}"," ",0,"1/2*sqrt(c*x^2)*(x/(b*c) - 2*a/(b^2*c)) - a^2*log(abs(-(sqrt(c)*x - sqrt(c*x^2))*b*sqrt(c) - 2*a*c))/(b^3*sqrt(c))","A",0
879,1,51,0,1.186629," ","integrate(x^2/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{a \log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} b \sqrt{c} - 2 \, a c \right|}\right)}{b^{2} \sqrt{c}} + \frac{\sqrt{c x^{2}}}{b c}"," ",0,"a*log(abs(-(sqrt(c)*x - sqrt(c*x^2))*b*sqrt(c) - 2*a*c))/(b^2*sqrt(c)) + sqrt(c*x^2)/(b*c)","A",0
880,1,36,0,0.900942," ","integrate(x/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} b \sqrt{c} - 2 \, a c \right|}\right)}{b \sqrt{c}}"," ",0,"-log(abs(-(sqrt(c)*x - sqrt(c*x^2))*b*sqrt(c) - 2*a*c))/(b*sqrt(c))","A",0
881,1,59,0,0.966236," ","integrate(1/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{\log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} b - 2 \, a \sqrt{c} \right|}\right)}{a \sqrt{c}} - \frac{\log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right)}{a \sqrt{c}}"," ",0,"log(abs(-(sqrt(c)*x - sqrt(c*x^2))*b - 2*a*sqrt(c)))/(a*sqrt(c)) - log(abs(-sqrt(c)*x + sqrt(c*x^2)))/(a*sqrt(c))","A",0
882,1,91,0,1.193511," ","integrate(1/x/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","-\sqrt{c} {\left(\frac{b \log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} b - 2 \, a \sqrt{c} \right|}\right)}{a^{2} c} - \frac{b \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right)}{a^{2} c} - \frac{2}{{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} a \sqrt{c}}\right)}"," ",0,"-sqrt(c)*(b*log(abs(-(sqrt(c)*x - sqrt(c*x^2))*b - 2*a*sqrt(c)))/(a^2*c) - b*log(abs(-sqrt(c)*x + sqrt(c*x^2)))/(a^2*c) - 2/((sqrt(c)*x - sqrt(c*x^2))*a*sqrt(c)))","A",0
883,0,0,0,0.000000," ","integrate(1/x^2/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
884,0,0,0,0.000000," ","integrate(1/x^3/(b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{c x^{2}} {\left(b x + a\right)} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2)*(b*x + a)*x^3), x)","F",0
885,1,86,0,1.180956," ","integrate(x^6/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""giac"")","\frac{\sqrt{c x^{2}} {\left(x {\left(\frac{2 \, x}{b c} - \frac{3 \, a}{b^{2} c}\right)} + \frac{6 \, a^{2}}{b^{3} c}\right)} + \frac{6 \, a^{3} \log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} b \sqrt{c} - 2 \, a c \right|}\right)}{b^{4} \sqrt{c}}}{6 \, c}"," ",0,"1/6*(sqrt(c*x^2)*(x*(2*x/(b*c) - 3*a/(b^2*c)) + 6*a^2/(b^3*c)) + 6*a^3*log(abs(-(sqrt(c)*x - sqrt(c*x^2))*b*sqrt(c) - 2*a*c))/(b^4*sqrt(c)))/c","A",0
886,1,71,0,0.957677," ","integrate(x^5/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""giac"")","\frac{\sqrt{c x^{2}} {\left(\frac{x}{b c} - \frac{2 \, a}{b^{2} c}\right)} - \frac{2 \, a^{2} \log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} b \sqrt{c} - 2 \, a c \right|}\right)}{b^{3} \sqrt{c}}}{2 \, c}"," ",0,"1/2*(sqrt(c*x^2)*(x/(b*c) - 2*a/(b^2*c)) - 2*a^2*log(abs(-(sqrt(c)*x - sqrt(c*x^2))*b*sqrt(c) - 2*a*c))/(b^3*sqrt(c)))/c","A",0
887,1,55,0,1.093772," ","integrate(x^4/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""giac"")","\frac{\frac{a \log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} b \sqrt{c} - 2 \, a c \right|}\right)}{b^{2} \sqrt{c}} + \frac{\sqrt{c x^{2}}}{b c}}{c}"," ",0,"(a*log(abs(-(sqrt(c)*x - sqrt(c*x^2))*b*sqrt(c) - 2*a*c))/(b^2*sqrt(c)) + sqrt(c*x^2)/(b*c))/c","A",0
888,1,36,0,0.969692," ","integrate(x^3/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""giac"")","-\frac{\log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} b \sqrt{c} - 2 \, a c \right|}\right)}{b c^{\frac{3}{2}}}"," ",0,"-log(abs(-(sqrt(c)*x - sqrt(c*x^2))*b*sqrt(c) - 2*a*c))/(b*c^(3/2))","A",0
889,1,63,0,1.046951," ","integrate(x^2/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""giac"")","\frac{\frac{\log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} b - 2 \, a \sqrt{c} \right|}\right)}{a \sqrt{c}} - \frac{\log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right)}{a \sqrt{c}}}{c}"," ",0,"(log(abs(-(sqrt(c)*x - sqrt(c*x^2))*b - 2*a*sqrt(c)))/(a*sqrt(c)) - log(abs(-sqrt(c)*x + sqrt(c*x^2)))/(a*sqrt(c)))/c","A",0
890,1,91,0,1.080149," ","integrate(x/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""giac"")","-\frac{\frac{b \log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} b - 2 \, a \sqrt{c} \right|}\right)}{a^{2} c} - \frac{b \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2}} \right|}\right)}{a^{2} c} - \frac{2}{{\left(\sqrt{c} x - \sqrt{c x^{2}}\right)} a \sqrt{c}}}{\sqrt{c}}"," ",0,"-(b*log(abs(-(sqrt(c)*x - sqrt(c*x^2))*b - 2*a*sqrt(c)))/(a^2*c) - b*log(abs(-sqrt(c)*x + sqrt(c*x^2)))/(a^2*c) - 2/((sqrt(c)*x - sqrt(c*x^2))*a*sqrt(c)))/sqrt(c)","A",0
891,0,0,0,0.000000," ","integrate(1/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
892,0,0,0,0.000000," ","integrate(1/x/(c*x^2)^(3/2)/(b*x+a),x, algorithm=""giac"")","\int \frac{1}{\left(c x^{2}\right)^{\frac{3}{2}} {\left(b x + a\right)} x}\,{d x}"," ",0,"integrate(1/((c*x^2)^(3/2)*(b*x + a)*x), x)","F",0
893,1,96,0,0.997057," ","integrate(x^3*(c*x^2)^(1/2)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{c} {\left(\frac{12 \, a^{3} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{5}} + \frac{3 \, a^{4} \mathrm{sgn}\left(x\right)}{{\left(b x + a\right)} b^{5}} - \frac{3 \, {\left(4 \, a^{3} \log\left({\left| a \right|}\right) + a^{3}\right)} \mathrm{sgn}\left(x\right)}{b^{5}} - \frac{b^{4} x^{3} \mathrm{sgn}\left(x\right) - 3 \, a b^{3} x^{2} \mathrm{sgn}\left(x\right) + 9 \, a^{2} b^{2} x \mathrm{sgn}\left(x\right)}{b^{6}}\right)}"," ",0,"-1/3*sqrt(c)*(12*a^3*log(abs(b*x + a))*sgn(x)/b^5 + 3*a^4*sgn(x)/((b*x + a)*b^5) - 3*(4*a^3*log(abs(a)) + a^3)*sgn(x)/b^5 - (b^4*x^3*sgn(x) - 3*a*b^3*x^2*sgn(x) + 9*a^2*b^2*x*sgn(x))/b^6)","A",0
894,1,80,0,1.056994," ","integrate(x^2*(c*x^2)^(1/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{c} {\left(\frac{6 \, a^{2} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{4}} + \frac{2 \, a^{3} \mathrm{sgn}\left(x\right)}{{\left(b x + a\right)} b^{4}} - \frac{2 \, {\left(3 \, a^{2} \log\left({\left| a \right|}\right) + a^{2}\right)} \mathrm{sgn}\left(x\right)}{b^{4}} + \frac{b^{2} x^{2} \mathrm{sgn}\left(x\right) - 4 \, a b x \mathrm{sgn}\left(x\right)}{b^{4}}\right)}"," ",0,"1/2*sqrt(c)*(6*a^2*log(abs(b*x + a))*sgn(x)/b^4 + 2*a^3*sgn(x)/((b*x + a)*b^4) - 2*(3*a^2*log(abs(a)) + a^2)*sgn(x)/b^4 + (b^2*x^2*sgn(x) - 4*a*b*x*sgn(x))/b^4)","A",0
895,1,58,0,0.920062," ","integrate(x*(c*x^2)^(1/2)/(b*x+a)^2,x, algorithm=""giac"")","\sqrt{c} {\left(\frac{x \mathrm{sgn}\left(x\right)}{b^{2}} - \frac{2 \, a \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{3}} + \frac{{\left(2 \, a \log\left({\left| a \right|}\right) + a\right)} \mathrm{sgn}\left(x\right)}{b^{3}} - \frac{a^{2} \mathrm{sgn}\left(x\right)}{{\left(b x + a\right)} b^{3}}\right)}"," ",0,"sqrt(c)*(x*sgn(x)/b^2 - 2*a*log(abs(b*x + a))*sgn(x)/b^3 + (2*a*log(abs(a)) + a)*sgn(x)/b^3 - a^2*sgn(x)/((b*x + a)*b^3))","A",0
896,1,46,0,1.060637," ","integrate((c*x^2)^(1/2)/(b*x+a)^2,x, algorithm=""giac"")","-\sqrt{c} {\left(\frac{{\left(\log\left({\left| a \right|}\right) + 1\right)} \mathrm{sgn}\left(x\right)}{b^{2}} - \frac{\log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{2}} - \frac{a \mathrm{sgn}\left(x\right)}{{\left(b x + a\right)} b^{2}}\right)}"," ",0,"-sqrt(c)*((log(abs(a)) + 1)*sgn(x)/b^2 - log(abs(b*x + a))*sgn(x)/b^2 - a*sgn(x)/((b*x + a)*b^2))","A",0
897,1,29,0,1.016079," ","integrate((c*x^2)^(1/2)/x/(b*x+a)^2,x, algorithm=""giac"")","-\sqrt{c} {\left(\frac{\mathrm{sgn}\left(x\right)}{{\left(b x + a\right)} b} - \frac{\mathrm{sgn}\left(x\right)}{a b}\right)}"," ",0,"-sqrt(c)*(sgn(x)/((b*x + a)*b) - sgn(x)/(a*b))","A",0
898,-2,0,0,0.000000," ","integrate((c*x^2)^(1/2)/x^2/(b*x+a)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
899,-2,0,0,0.000000," ","integrate((c*x^2)^(1/2)/x^3/(b*x+a)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
900,-2,0,0,0.000000," ","integrate((c*x^2)^(1/2)/x^4/(b*x+a)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
901,1,96,0,1.173783," ","integrate(x*(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{3} \, c^{\frac{3}{2}} {\left(\frac{12 \, a^{3} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{5}} + \frac{3 \, a^{4} \mathrm{sgn}\left(x\right)}{{\left(b x + a\right)} b^{5}} - \frac{3 \, {\left(4 \, a^{3} \log\left({\left| a \right|}\right) + a^{3}\right)} \mathrm{sgn}\left(x\right)}{b^{5}} - \frac{b^{4} x^{3} \mathrm{sgn}\left(x\right) - 3 \, a b^{3} x^{2} \mathrm{sgn}\left(x\right) + 9 \, a^{2} b^{2} x \mathrm{sgn}\left(x\right)}{b^{6}}\right)}"," ",0,"-1/3*c^(3/2)*(12*a^3*log(abs(b*x + a))*sgn(x)/b^5 + 3*a^4*sgn(x)/((b*x + a)*b^5) - 3*(4*a^3*log(abs(a)) + a^3)*sgn(x)/b^5 - (b^4*x^3*sgn(x) - 3*a*b^3*x^2*sgn(x) + 9*a^2*b^2*x*sgn(x))/b^6)","A",0
902,1,80,0,0.946706," ","integrate((c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{2} \, c^{\frac{3}{2}} {\left(\frac{6 \, a^{2} \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{4}} + \frac{2 \, a^{3} \mathrm{sgn}\left(x\right)}{{\left(b x + a\right)} b^{4}} - \frac{2 \, {\left(3 \, a^{2} \log\left({\left| a \right|}\right) + a^{2}\right)} \mathrm{sgn}\left(x\right)}{b^{4}} + \frac{b^{2} x^{2} \mathrm{sgn}\left(x\right) - 4 \, a b x \mathrm{sgn}\left(x\right)}{b^{4}}\right)}"," ",0,"1/2*c^(3/2)*(6*a^2*log(abs(b*x + a))*sgn(x)/b^4 + 2*a^3*sgn(x)/((b*x + a)*b^4) - 2*(3*a^2*log(abs(a)) + a^2)*sgn(x)/b^4 + (b^2*x^2*sgn(x) - 4*a*b*x*sgn(x))/b^4)","A",0
903,1,58,0,0.956120," ","integrate((c*x^2)^(3/2)/x/(b*x+a)^2,x, algorithm=""giac"")","c^{\frac{3}{2}} {\left(\frac{x \mathrm{sgn}\left(x\right)}{b^{2}} - \frac{2 \, a \log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{3}} + \frac{{\left(2 \, a \log\left({\left| a \right|}\right) + a\right)} \mathrm{sgn}\left(x\right)}{b^{3}} - \frac{a^{2} \mathrm{sgn}\left(x\right)}{{\left(b x + a\right)} b^{3}}\right)}"," ",0,"c^(3/2)*(x*sgn(x)/b^2 - 2*a*log(abs(b*x + a))*sgn(x)/b^3 + (2*a*log(abs(a)) + a)*sgn(x)/b^3 - a^2*sgn(x)/((b*x + a)*b^3))","A",0
904,1,46,0,0.961202," ","integrate((c*x^2)^(3/2)/x^2/(b*x+a)^2,x, algorithm=""giac"")","-c^{\frac{3}{2}} {\left(\frac{{\left(\log\left({\left| a \right|}\right) + 1\right)} \mathrm{sgn}\left(x\right)}{b^{2}} - \frac{\log\left({\left| b x + a \right|}\right) \mathrm{sgn}\left(x\right)}{b^{2}} - \frac{a \mathrm{sgn}\left(x\right)}{{\left(b x + a\right)} b^{2}}\right)}"," ",0,"-c^(3/2)*((log(abs(a)) + 1)*sgn(x)/b^2 - log(abs(b*x + a))*sgn(x)/b^2 - a*sgn(x)/((b*x + a)*b^2))","A",0
905,1,29,0,1.143423," ","integrate((c*x^2)^(3/2)/x^3/(b*x+a)^2,x, algorithm=""giac"")","-c^{\frac{3}{2}} {\left(\frac{\mathrm{sgn}\left(x\right)}{{\left(b x + a\right)} b} - \frac{\mathrm{sgn}\left(x\right)}{a b}\right)}"," ",0,"-c^(3/2)*(sgn(x)/((b*x + a)*b) - sgn(x)/(a*b))","A",0
906,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)/x^4/(b*x+a)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
907,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)/x^5/(b*x+a)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
908,-2,0,0,0.000000," ","integrate((c*x^2)^(3/2)/x^6/(b*x+a)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Sign error (%%%{a,0%%%}+%%%{b,1%%%})"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
909,1,155,0,1.131456," ","integrate(x^5/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{\frac{{\left(b x + a\right)}^{3} {\left(\frac{6 \, a}{b x + a} - \frac{18 \, a^{2}}{{\left(b x + a\right)}^{2}} - 1\right)}}{b^{5} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} - \frac{12 \, a^{3} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{5} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} + \frac{3 \, a^{4}}{{\left(b x + a\right)} b^{5} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}}{3 \, \sqrt{c}}"," ",0,"1/3*((b*x + a)^3*(6*a/(b*x + a) - 18*a^2/(b*x + a)^2 - 1)/(b^5*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) - 12*a^3*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^5*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) + 3*a^4/((b*x + a)*b^5*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)))/sqrt(c)","A",0
910,1,143,0,1.041450," ","integrate(x^4/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{\frac{{\left(b x + a\right)}^{2} {\left(\frac{6 \, a}{b x + a} - 1\right)}}{b^{4} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} + \frac{6 \, a^{2} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{4} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} - \frac{2 \, a^{3}}{{\left(b x + a\right)} b^{4} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}}{2 \, \sqrt{c}}"," ",0,"1/2*((b*x + a)^2*(6*a/(b*x + a) - 1)/(b^4*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) + 6*a^2*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^4*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) - 2*a^3/((b*x + a)*b^4*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)))/sqrt(c)","A",0
911,1,127,0,1.133466," ","integrate(x^3/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","-\frac{\frac{2 \, a \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{3} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} + \frac{b x + a}{b^{3} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} - \frac{a^{2}}{{\left(b x + a\right)} b^{3} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}}{\sqrt{c}}"," ",0,"-(2*a*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^3*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) + (b*x + a)/(b^3*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) - a^2/((b*x + a)*b^3*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)))/sqrt(c)","B",0
912,1,89,0,1.148801," ","integrate(x^2/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{\frac{\log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{2} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} - \frac{a}{{\left(b x + a\right)} b^{2} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}}{\sqrt{c}}"," ",0,"(log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^2*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) - a/((b*x + a)*b^2*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)))/sqrt(c)","B",0
913,1,38,0,1.158564," ","integrate(x/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{{\left(b x + a\right)} b \sqrt{c} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}"," ",0,"1/((b*x + a)*b*sqrt(c)*sgn(-b/(b*x + a) + a*b/(b*x + a)^2))","A",0
914,1,86,0,1.084352," ","integrate(1/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{2} \sqrt{c} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} - \frac{1}{{\left(b x + a\right)} a \sqrt{c} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}"," ",0,"-log(abs(-a/(b*x + a) + 1))/(a^2*sqrt(c)*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) - 1/((b*x + a)*a*sqrt(c)*sgn(-b/(b*x + a) + a*b/(b*x + a)^2))","A",0
915,1,126,0,1.141510," ","integrate(1/x/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","\frac{b {\left(\frac{2 \, \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{3} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} + \frac{1}{{\left(b x + a\right)} a^{2} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} - \frac{1}{a^{3} {\left(\frac{a}{b x + a} - 1\right)} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}\right)}}{\sqrt{c}}"," ",0,"b*(2*log(abs(-a/(b*x + a) + 1))/(a^3*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) + 1/((b*x + a)*a^2*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) - 1/(a^3*(a/(b*x + a) - 1)*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)))/sqrt(c)","A",0
916,1,152,0,1.222493," ","integrate(1/x^2/(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","-\frac{\frac{6 \, b^{2} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{4} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} + \frac{2 \, b^{2}}{{\left(b x + a\right)} a^{3} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} - \frac{\frac{6 \, a b^{2}}{b x + a} - 5 \, b^{2}}{a^{4} {\left(\frac{a}{b x + a} - 1\right)}^{2} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}}{2 \, \sqrt{c}}"," ",0,"-1/2*(6*b^2*log(abs(-a/(b*x + a) + 1))/(a^4*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) + 2*b^2/((b*x + a)*a^3*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) - (6*a*b^2/(b*x + a) - 5*b^2)/(a^4*(a/(b*x + a) - 1)^2*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)))/sqrt(c)","A",0
917,1,127,0,1.263826," ","integrate(x^5/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{2 \, a \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{3} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} + \frac{b x + a}{b^{3} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} - \frac{a^{2}}{{\left(b x + a\right)} b^{3} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}}{c^{\frac{3}{2}}}"," ",0,"-(2*a*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^3*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) + (b*x + a)/(b^3*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) - a^2/((b*x + a)*b^3*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)))/c^(3/2)","A",0
918,1,89,0,1.025347," ","integrate(x^4/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{\log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{2} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} - \frac{a}{{\left(b x + a\right)} b^{2} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}}{c^{\frac{3}{2}}}"," ",0,"(log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^2*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) - a/((b*x + a)*b^2*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)))/c^(3/2)","A",0
919,1,38,0,1.164102," ","integrate(x^3/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{{\left(b x + a\right)} b c^{\frac{3}{2}} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}"," ",0,"1/((b*x + a)*b*c^(3/2)*sgn(-b/(b*x + a) + a*b/(b*x + a)^2))","A",0
920,1,83,0,1.057037," ","integrate(x^2/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{\log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{2} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} + \frac{1}{{\left(b x + a\right)} a \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}}{c^{\frac{3}{2}}}"," ",0,"-(log(abs(-a/(b*x + a) + 1))/(a^2*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) + 1/((b*x + a)*a*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)))/c^(3/2)","A",0
921,1,137,0,1.109397," ","integrate(x/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{2 \, b^{2} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{3} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} + \frac{b^{2}}{{\left(b x + a\right)} a^{2} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} - \frac{b^{2}}{a^{3} {\left(\frac{a}{b x + a} - 1\right)} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}}{b c^{\frac{3}{2}}}"," ",0,"(2*b^2*log(abs(-a/(b*x + a) + 1))/(a^3*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) + b^2/((b*x + a)*a^2*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) - b^2/(a^3*(a/(b*x + a) - 1)*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)))/(b*c^(3/2))","A",0
922,1,152,0,1.027027," ","integrate(1/(c*x^2)^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{6 \, b^{2} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{4} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} + \frac{2 \, b^{2}}{{\left(b x + a\right)} a^{3} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)} - \frac{\frac{6 \, a b^{2}}{b x + a} - 5 \, b^{2}}{a^{4} {\left(\frac{a}{b x + a} - 1\right)}^{2} \mathrm{sgn}\left(-\frac{b}{b x + a} + \frac{a b}{{\left(b x + a\right)}^{2}}\right)}}{2 \, c^{\frac{3}{2}}}"," ",0,"-1/2*(6*b^2*log(abs(-a/(b*x + a) + 1))/(a^4*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) + 2*b^2/((b*x + a)*a^3*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)) - (6*a*b^2/(b*x + a) - 5*b^2)/(a^4*(a/(b*x + a) - 1)^2*sgn(-b/(b*x + a) + a*b/(b*x + a)^2)))/c^(3/2)","A",0
923,1,300,0,1.110546," ","integrate(x^2*(b*x+a)^n*(c*x^2)^(1/2),x, algorithm=""giac"")","{\left(\frac{6 \, a^{4} a^{n} \mathrm{sgn}\left(x\right)}{b^{4} n^{4} + 10 \, b^{4} n^{3} + 35 \, b^{4} n^{2} + 50 \, b^{4} n + 24 \, b^{4}} + \frac{{\left(b x + a\right)}^{n} b^{4} n^{3} x^{4} \mathrm{sgn}\left(x\right) + {\left(b x + a\right)}^{n} a b^{3} n^{3} x^{3} \mathrm{sgn}\left(x\right) + 6 \, {\left(b x + a\right)}^{n} b^{4} n^{2} x^{4} \mathrm{sgn}\left(x\right) + 3 \, {\left(b x + a\right)}^{n} a b^{3} n^{2} x^{3} \mathrm{sgn}\left(x\right) + 11 \, {\left(b x + a\right)}^{n} b^{4} n x^{4} \mathrm{sgn}\left(x\right) - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} n^{2} x^{2} \mathrm{sgn}\left(x\right) + 2 \, {\left(b x + a\right)}^{n} a b^{3} n x^{3} \mathrm{sgn}\left(x\right) + 6 \, {\left(b x + a\right)}^{n} b^{4} x^{4} \mathrm{sgn}\left(x\right) - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} n x^{2} \mathrm{sgn}\left(x\right) + 6 \, {\left(b x + a\right)}^{n} a^{3} b n x \mathrm{sgn}\left(x\right) - 6 \, {\left(b x + a\right)}^{n} a^{4} \mathrm{sgn}\left(x\right)}{b^{4} n^{4} + 10 \, b^{4} n^{3} + 35 \, b^{4} n^{2} + 50 \, b^{4} n + 24 \, b^{4}}\right)} \sqrt{c}"," ",0,"(6*a^4*a^n*sgn(x)/(b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4) + ((b*x + a)^n*b^4*n^3*x^4*sgn(x) + (b*x + a)^n*a*b^3*n^3*x^3*sgn(x) + 6*(b*x + a)^n*b^4*n^2*x^4*sgn(x) + 3*(b*x + a)^n*a*b^3*n^2*x^3*sgn(x) + 11*(b*x + a)^n*b^4*n*x^4*sgn(x) - 3*(b*x + a)^n*a^2*b^2*n^2*x^2*sgn(x) + 2*(b*x + a)^n*a*b^3*n*x^3*sgn(x) + 6*(b*x + a)^n*b^4*x^4*sgn(x) - 3*(b*x + a)^n*a^2*b^2*n*x^2*sgn(x) + 6*(b*x + a)^n*a^3*b*n*x*sgn(x) - 6*(b*x + a)^n*a^4*sgn(x))/(b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4))*sqrt(c)","B",0
924,1,200,0,0.961119," ","integrate(x*(b*x+a)^n*(c*x^2)^(1/2),x, algorithm=""giac"")","-{\left(\frac{2 \, a^{3} a^{n} \mathrm{sgn}\left(x\right)}{b^{3} n^{3} + 6 \, b^{3} n^{2} + 11 \, b^{3} n + 6 \, b^{3}} - \frac{{\left(b x + a\right)}^{n} b^{3} n^{2} x^{3} \mathrm{sgn}\left(x\right) + {\left(b x + a\right)}^{n} a b^{2} n^{2} x^{2} \mathrm{sgn}\left(x\right) + 3 \, {\left(b x + a\right)}^{n} b^{3} n x^{3} \mathrm{sgn}\left(x\right) + {\left(b x + a\right)}^{n} a b^{2} n x^{2} \mathrm{sgn}\left(x\right) + 2 \, {\left(b x + a\right)}^{n} b^{3} x^{3} \mathrm{sgn}\left(x\right) - 2 \, {\left(b x + a\right)}^{n} a^{2} b n x \mathrm{sgn}\left(x\right) + 2 \, {\left(b x + a\right)}^{n} a^{3} \mathrm{sgn}\left(x\right)}{b^{3} n^{3} + 6 \, b^{3} n^{2} + 11 \, b^{3} n + 6 \, b^{3}}\right)} \sqrt{c}"," ",0,"-(2*a^3*a^n*sgn(x)/(b^3*n^3 + 6*b^3*n^2 + 11*b^3*n + 6*b^3) - ((b*x + a)^n*b^3*n^2*x^3*sgn(x) + (b*x + a)^n*a*b^2*n^2*x^2*sgn(x) + 3*(b*x + a)^n*b^3*n*x^3*sgn(x) + (b*x + a)^n*a*b^2*n*x^2*sgn(x) + 2*(b*x + a)^n*b^3*x^3*sgn(x) - 2*(b*x + a)^n*a^2*b*n*x*sgn(x) + 2*(b*x + a)^n*a^3*sgn(x))/(b^3*n^3 + 6*b^3*n^2 + 11*b^3*n + 6*b^3))*sqrt(c)","B",0
925,1,119,0,1.143517," ","integrate((b*x+a)^n*(c*x^2)^(1/2),x, algorithm=""giac"")","{\left(\frac{a^{2} a^{n} \mathrm{sgn}\left(x\right)}{b^{2} n^{2} + 3 \, b^{2} n + 2 \, b^{2}} + \frac{{\left(b x + a\right)}^{n} b^{2} n x^{2} \mathrm{sgn}\left(x\right) + {\left(b x + a\right)}^{n} a b n x \mathrm{sgn}\left(x\right) + {\left(b x + a\right)}^{n} b^{2} x^{2} \mathrm{sgn}\left(x\right) - {\left(b x + a\right)}^{n} a^{2} \mathrm{sgn}\left(x\right)}{b^{2} n^{2} + 3 \, b^{2} n + 2 \, b^{2}}\right)} \sqrt{c}"," ",0,"(a^2*a^n*sgn(x)/(b^2*n^2 + 3*b^2*n + 2*b^2) + ((b*x + a)^n*b^2*n*x^2*sgn(x) + (b*x + a)^n*a*b*n*x*sgn(x) + (b*x + a)^n*b^2*x^2*sgn(x) - (b*x + a)^n*a^2*sgn(x))/(b^2*n^2 + 3*b^2*n + 2*b^2))*sqrt(c)","B",0
926,1,42,0,1.011039," ","integrate((b*x+a)^n*(c*x^2)^(1/2)/x,x, algorithm=""giac"")","-\sqrt{c} {\left(\frac{a^{n + 1} \mathrm{sgn}\left(x\right)}{b n + b} - \frac{{\left(b x + a\right)}^{n + 1} \mathrm{sgn}\left(x\right)}{b {\left(n + 1\right)}}\right)}"," ",0,"-sqrt(c)*(a^(n + 1)*sgn(x)/(b*n + b) - (b*x + a)^(n + 1)*sgn(x)/(b*(n + 1)))","A",0
927,0,0,0,0.000000," ","integrate((b*x+a)^n*(c*x^2)^(1/2)/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^2)*(b*x + a)^n/x^2, x)","F",0
928,0,0,0,0.000000," ","integrate((b*x+a)^n*(c*x^2)^(1/2)/x^3,x, algorithm=""giac"")","\int \frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(c*x^2)*(b*x + a)^n/x^3, x)","F",0
929,0,0,0,0.000000," ","integrate((b*x+a)^n*(c*x^2)^(1/2)/x^4,x, algorithm=""giac"")","\int \frac{\sqrt{c x^{2}} {\left(b x + a\right)}^{n}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(c*x^2)*(b*x + a)^n/x^4, x)","F",0
930,1,426,0,1.195789," ","integrate(x*(c*x^2)^(3/2)*(b*x+a)^n,x, algorithm=""giac"")","-{\left(\frac{24 \, a^{5} a^{n} \mathrm{sgn}\left(x\right)}{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}} - \frac{{\left(b x + a\right)}^{n} b^{5} n^{4} x^{5} \mathrm{sgn}\left(x\right) + {\left(b x + a\right)}^{n} a b^{4} n^{4} x^{4} \mathrm{sgn}\left(x\right) + 10 \, {\left(b x + a\right)}^{n} b^{5} n^{3} x^{5} \mathrm{sgn}\left(x\right) + 6 \, {\left(b x + a\right)}^{n} a b^{4} n^{3} x^{4} \mathrm{sgn}\left(x\right) + 35 \, {\left(b x + a\right)}^{n} b^{5} n^{2} x^{5} \mathrm{sgn}\left(x\right) - 4 \, {\left(b x + a\right)}^{n} a^{2} b^{3} n^{3} x^{3} \mathrm{sgn}\left(x\right) + 11 \, {\left(b x + a\right)}^{n} a b^{4} n^{2} x^{4} \mathrm{sgn}\left(x\right) + 50 \, {\left(b x + a\right)}^{n} b^{5} n x^{5} \mathrm{sgn}\left(x\right) - 12 \, {\left(b x + a\right)}^{n} a^{2} b^{3} n^{2} x^{3} \mathrm{sgn}\left(x\right) + 6 \, {\left(b x + a\right)}^{n} a b^{4} n x^{4} \mathrm{sgn}\left(x\right) + 24 \, {\left(b x + a\right)}^{n} b^{5} x^{5} \mathrm{sgn}\left(x\right) + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} n^{2} x^{2} \mathrm{sgn}\left(x\right) - 8 \, {\left(b x + a\right)}^{n} a^{2} b^{3} n x^{3} \mathrm{sgn}\left(x\right) + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} n x^{2} \mathrm{sgn}\left(x\right) - 24 \, {\left(b x + a\right)}^{n} a^{4} b n x \mathrm{sgn}\left(x\right) + 24 \, {\left(b x + a\right)}^{n} a^{5} \mathrm{sgn}\left(x\right)}{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)} c^{\frac{3}{2}}"," ",0,"-(24*a^5*a^n*sgn(x)/(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) - ((b*x + a)^n*b^5*n^4*x^5*sgn(x) + (b*x + a)^n*a*b^4*n^4*x^4*sgn(x) + 10*(b*x + a)^n*b^5*n^3*x^5*sgn(x) + 6*(b*x + a)^n*a*b^4*n^3*x^4*sgn(x) + 35*(b*x + a)^n*b^5*n^2*x^5*sgn(x) - 4*(b*x + a)^n*a^2*b^3*n^3*x^3*sgn(x) + 11*(b*x + a)^n*a*b^4*n^2*x^4*sgn(x) + 50*(b*x + a)^n*b^5*n*x^5*sgn(x) - 12*(b*x + a)^n*a^2*b^3*n^2*x^3*sgn(x) + 6*(b*x + a)^n*a*b^4*n*x^4*sgn(x) + 24*(b*x + a)^n*b^5*x^5*sgn(x) + 12*(b*x + a)^n*a^3*b^2*n^2*x^2*sgn(x) - 8*(b*x + a)^n*a^2*b^3*n*x^3*sgn(x) + 12*(b*x + a)^n*a^3*b^2*n*x^2*sgn(x) - 24*(b*x + a)^n*a^4*b*n*x*sgn(x) + 24*(b*x + a)^n*a^5*sgn(x))/(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))*c^(3/2)","B",0
931,1,300,0,1.141303," ","integrate((c*x^2)^(3/2)*(b*x+a)^n,x, algorithm=""giac"")","{\left(\frac{6 \, a^{4} a^{n} \mathrm{sgn}\left(x\right)}{b^{4} n^{4} + 10 \, b^{4} n^{3} + 35 \, b^{4} n^{2} + 50 \, b^{4} n + 24 \, b^{4}} + \frac{{\left(b x + a\right)}^{n} b^{4} n^{3} x^{4} \mathrm{sgn}\left(x\right) + {\left(b x + a\right)}^{n} a b^{3} n^{3} x^{3} \mathrm{sgn}\left(x\right) + 6 \, {\left(b x + a\right)}^{n} b^{4} n^{2} x^{4} \mathrm{sgn}\left(x\right) + 3 \, {\left(b x + a\right)}^{n} a b^{3} n^{2} x^{3} \mathrm{sgn}\left(x\right) + 11 \, {\left(b x + a\right)}^{n} b^{4} n x^{4} \mathrm{sgn}\left(x\right) - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} n^{2} x^{2} \mathrm{sgn}\left(x\right) + 2 \, {\left(b x + a\right)}^{n} a b^{3} n x^{3} \mathrm{sgn}\left(x\right) + 6 \, {\left(b x + a\right)}^{n} b^{4} x^{4} \mathrm{sgn}\left(x\right) - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} n x^{2} \mathrm{sgn}\left(x\right) + 6 \, {\left(b x + a\right)}^{n} a^{3} b n x \mathrm{sgn}\left(x\right) - 6 \, {\left(b x + a\right)}^{n} a^{4} \mathrm{sgn}\left(x\right)}{b^{4} n^{4} + 10 \, b^{4} n^{3} + 35 \, b^{4} n^{2} + 50 \, b^{4} n + 24 \, b^{4}}\right)} c^{\frac{3}{2}}"," ",0,"(6*a^4*a^n*sgn(x)/(b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4) + ((b*x + a)^n*b^4*n^3*x^4*sgn(x) + (b*x + a)^n*a*b^3*n^3*x^3*sgn(x) + 6*(b*x + a)^n*b^4*n^2*x^4*sgn(x) + 3*(b*x + a)^n*a*b^3*n^2*x^3*sgn(x) + 11*(b*x + a)^n*b^4*n*x^4*sgn(x) - 3*(b*x + a)^n*a^2*b^2*n^2*x^2*sgn(x) + 2*(b*x + a)^n*a*b^3*n*x^3*sgn(x) + 6*(b*x + a)^n*b^4*x^4*sgn(x) - 3*(b*x + a)^n*a^2*b^2*n*x^2*sgn(x) + 6*(b*x + a)^n*a^3*b*n*x*sgn(x) - 6*(b*x + a)^n*a^4*sgn(x))/(b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4))*c^(3/2)","B",0
932,0,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{\frac{3}{2}} {\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((c*x^2)^(3/2)*(b*x + a)^n/x, x)","F",0
933,1,119,0,0.910482," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^2,x, algorithm=""giac"")","{\left(\frac{a^{2} a^{n} \mathrm{sgn}\left(x\right)}{b^{2} n^{2} + 3 \, b^{2} n + 2 \, b^{2}} + \frac{{\left(b x + a\right)}^{n} b^{2} n x^{2} \mathrm{sgn}\left(x\right) + {\left(b x + a\right)}^{n} a b n x \mathrm{sgn}\left(x\right) + {\left(b x + a\right)}^{n} b^{2} x^{2} \mathrm{sgn}\left(x\right) - {\left(b x + a\right)}^{n} a^{2} \mathrm{sgn}\left(x\right)}{b^{2} n^{2} + 3 \, b^{2} n + 2 \, b^{2}}\right)} c^{\frac{3}{2}}"," ",0,"(a^2*a^n*sgn(x)/(b^2*n^2 + 3*b^2*n + 2*b^2) + ((b*x + a)^n*b^2*n*x^2*sgn(x) + (b*x + a)^n*a*b*n*x*sgn(x) + (b*x + a)^n*b^2*x^2*sgn(x) - (b*x + a)^n*a^2*sgn(x))/(b^2*n^2 + 3*b^2*n + 2*b^2))*c^(3/2)","A",0
934,1,42,0,1.087411," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^3,x, algorithm=""giac"")","-c^{\frac{3}{2}} {\left(\frac{a^{n + 1} \mathrm{sgn}\left(x\right)}{b n + b} - \frac{{\left(b x + a\right)}^{n + 1} \mathrm{sgn}\left(x\right)}{b {\left(n + 1\right)}}\right)}"," ",0,"-c^(3/2)*(a^(n + 1)*sgn(x)/(b*n + b) - (b*x + a)^(n + 1)*sgn(x)/(b*(n + 1)))","A",0
935,0,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^4,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{\frac{3}{2}} {\left(b x + a\right)}^{n}}{x^{4}}\,{d x}"," ",0,"integrate((c*x^2)^(3/2)*(b*x + a)^n/x^4, x)","F",0
936,0,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^5,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{\frac{3}{2}} {\left(b x + a\right)}^{n}}{x^{5}}\,{d x}"," ",0,"integrate((c*x^2)^(3/2)*(b*x + a)^n/x^5, x)","F",0
937,0,0,0,0.000000," ","integrate((c*x^2)^(3/2)*(b*x+a)^n/x^6,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{\frac{3}{2}} {\left(b x + a\right)}^{n}}{x^{6}}\,{d x}"," ",0,"integrate((c*x^2)^(3/2)*(b*x + a)^n/x^6, x)","F",0
938,1,640,0,1.062732," ","integrate((c*x^2)^(5/2)*(b*x+a)^n,x, algorithm=""giac"")","{\left(\frac{120 \, a^{6} a^{n} c^{2} \mathrm{sgn}\left(x\right)}{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}} + \frac{{\left(b x + a\right)}^{n} b^{6} c^{2} n^{5} x^{6} \mathrm{sgn}\left(x\right) + {\left(b x + a\right)}^{n} a b^{5} c^{2} n^{5} x^{5} \mathrm{sgn}\left(x\right) + 15 \, {\left(b x + a\right)}^{n} b^{6} c^{2} n^{4} x^{6} \mathrm{sgn}\left(x\right) + 10 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} n^{4} x^{5} \mathrm{sgn}\left(x\right) + 85 \, {\left(b x + a\right)}^{n} b^{6} c^{2} n^{3} x^{6} \mathrm{sgn}\left(x\right) - 5 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} n^{4} x^{4} \mathrm{sgn}\left(x\right) + 35 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} n^{3} x^{5} \mathrm{sgn}\left(x\right) + 225 \, {\left(b x + a\right)}^{n} b^{6} c^{2} n^{2} x^{6} \mathrm{sgn}\left(x\right) - 30 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} n^{3} x^{4} \mathrm{sgn}\left(x\right) + 50 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} n^{2} x^{5} \mathrm{sgn}\left(x\right) + 274 \, {\left(b x + a\right)}^{n} b^{6} c^{2} n x^{6} \mathrm{sgn}\left(x\right) + 20 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c^{2} n^{3} x^{3} \mathrm{sgn}\left(x\right) - 55 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} n^{2} x^{4} \mathrm{sgn}\left(x\right) + 24 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} n x^{5} \mathrm{sgn}\left(x\right) + 120 \, {\left(b x + a\right)}^{n} b^{6} c^{2} x^{6} \mathrm{sgn}\left(x\right) + 60 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c^{2} n^{2} x^{3} \mathrm{sgn}\left(x\right) - 30 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} n x^{4} \mathrm{sgn}\left(x\right) - 60 \, {\left(b x + a\right)}^{n} a^{4} b^{2} c^{2} n^{2} x^{2} \mathrm{sgn}\left(x\right) + 40 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c^{2} n x^{3} \mathrm{sgn}\left(x\right) - 60 \, {\left(b x + a\right)}^{n} a^{4} b^{2} c^{2} n x^{2} \mathrm{sgn}\left(x\right) + 120 \, {\left(b x + a\right)}^{n} a^{5} b c^{2} n x \mathrm{sgn}\left(x\right) - 120 \, {\left(b x + a\right)}^{n} a^{6} c^{2} \mathrm{sgn}\left(x\right)}{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)} \sqrt{c}"," ",0,"(120*a^6*a^n*c^2*sgn(x)/(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) + ((b*x + a)^n*b^6*c^2*n^5*x^6*sgn(x) + (b*x + a)^n*a*b^5*c^2*n^5*x^5*sgn(x) + 15*(b*x + a)^n*b^6*c^2*n^4*x^6*sgn(x) + 10*(b*x + a)^n*a*b^5*c^2*n^4*x^5*sgn(x) + 85*(b*x + a)^n*b^6*c^2*n^3*x^6*sgn(x) - 5*(b*x + a)^n*a^2*b^4*c^2*n^4*x^4*sgn(x) + 35*(b*x + a)^n*a*b^5*c^2*n^3*x^5*sgn(x) + 225*(b*x + a)^n*b^6*c^2*n^2*x^6*sgn(x) - 30*(b*x + a)^n*a^2*b^4*c^2*n^3*x^4*sgn(x) + 50*(b*x + a)^n*a*b^5*c^2*n^2*x^5*sgn(x) + 274*(b*x + a)^n*b^6*c^2*n*x^6*sgn(x) + 20*(b*x + a)^n*a^3*b^3*c^2*n^3*x^3*sgn(x) - 55*(b*x + a)^n*a^2*b^4*c^2*n^2*x^4*sgn(x) + 24*(b*x + a)^n*a*b^5*c^2*n*x^5*sgn(x) + 120*(b*x + a)^n*b^6*c^2*x^6*sgn(x) + 60*(b*x + a)^n*a^3*b^3*c^2*n^2*x^3*sgn(x) - 30*(b*x + a)^n*a^2*b^4*c^2*n*x^4*sgn(x) - 60*(b*x + a)^n*a^4*b^2*c^2*n^2*x^2*sgn(x) + 40*(b*x + a)^n*a^3*b^3*c^2*n*x^3*sgn(x) - 60*(b*x + a)^n*a^4*b^2*c^2*n*x^2*sgn(x) + 120*(b*x + a)^n*a^5*b*c^2*n*x*sgn(x) - 120*(b*x + a)^n*a^6*c^2*sgn(x))/(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))*sqrt(c)","B",0
939,0,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{\frac{5}{2}} {\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((c*x^2)^(5/2)*(b*x + a)^n/x, x)","F",0
940,0,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^2,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{\frac{5}{2}} {\left(b x + a\right)}^{n}}{x^{2}}\,{d x}"," ",0,"integrate((c*x^2)^(5/2)*(b*x + a)^n/x^2, x)","F",0
941,0,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^3,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{\frac{5}{2}} {\left(b x + a\right)}^{n}}{x^{3}}\,{d x}"," ",0,"integrate((c*x^2)^(5/2)*(b*x + a)^n/x^3, x)","F",0
942,0,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^4,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{\frac{5}{2}} {\left(b x + a\right)}^{n}}{x^{4}}\,{d x}"," ",0,"integrate((c*x^2)^(5/2)*(b*x + a)^n/x^4, x)","F",0
943,0,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^5,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{\frac{5}{2}} {\left(b x + a\right)}^{n}}{x^{5}}\,{d x}"," ",0,"integrate((c*x^2)^(5/2)*(b*x + a)^n/x^5, x)","F",0
944,0,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^6,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{\frac{5}{2}} {\left(b x + a\right)}^{n}}{x^{6}}\,{d x}"," ",0,"integrate((c*x^2)^(5/2)*(b*x + a)^n/x^6, x)","F",0
945,0,0,0,0.000000," ","integrate((c*x^2)^(5/2)*(b*x+a)^n/x^7,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{\frac{5}{2}} {\left(b x + a\right)}^{n}}{x^{7}}\,{d x}"," ",0,"integrate((c*x^2)^(5/2)*(b*x + a)^n/x^7, x)","F",0
946,0,0,0,0.000000," ","integrate(x^4*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{4}}{\sqrt{c x^{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^4/sqrt(c*x^2), x)","F",0
947,0,0,0,0.000000," ","integrate(x^3*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{3}}{\sqrt{c x^{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^3/sqrt(c*x^2), x)","F",0
948,0,0,0,0.000000," ","integrate(x^2*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{2}}{\sqrt{c x^{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^2/sqrt(c*x^2), x)","F",0
949,0,0,0,0.000000," ","integrate(x*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x}{\sqrt{c x^{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x/sqrt(c*x^2), x)","F",0
950,0,0,0,0.000000," ","integrate((b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{\sqrt{c x^{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n/sqrt(c*x^2), x)","F",0
951,0,0,0,0.000000," ","integrate((b*x+a)^n/x/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{\sqrt{c x^{2}} x}\,{d x}"," ",0,"integrate((b*x + a)^n/(sqrt(c*x^2)*x), x)","F",0
952,0,0,0,0.000000," ","integrate((b*x+a)^n/x^2/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{\sqrt{c x^{2}} x^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n/(sqrt(c*x^2)*x^2), x)","F",0
953,0,0,0,0.000000," ","integrate(x^6*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{6}}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^6/(c*x^2)^(3/2), x)","F",0
954,0,0,0,0.000000," ","integrate(x^5*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{5}}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^5/(c*x^2)^(3/2), x)","F",0
955,0,0,0,0.000000," ","integrate(x^4*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{4}}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^4/(c*x^2)^(3/2), x)","F",0
956,0,0,0,0.000000," ","integrate(x^3*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{3}}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^3/(c*x^2)^(3/2), x)","F",0
957,0,0,0,0.000000," ","integrate(x^2*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{2}}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^2/(c*x^2)^(3/2), x)","F",0
958,0,0,0,0.000000," ","integrate(x*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x/(c*x^2)^(3/2), x)","F",0
959,0,0,0,0.000000," ","integrate((b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n/(c*x^2)^(3/2), x)","F",0
960,0,0,0,0.000000," ","integrate((b*x+a)^n/x/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{\left(c x^{2}\right)^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate((b*x + a)^n/((c*x^2)^(3/2)*x), x)","F",0
961,0,0,0,0.000000," ","integrate(x^8*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{8}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^8/(c*x^2)^(5/2), x)","F",0
962,0,0,0,0.000000," ","integrate(x^7*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{7}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^7/(c*x^2)^(5/2), x)","F",0
963,0,0,0,0.000000," ","integrate(x^6*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{6}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^6/(c*x^2)^(5/2), x)","F",0
964,0,0,0,0.000000," ","integrate(x^5*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{5}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^5/(c*x^2)^(5/2), x)","F",0
965,0,0,0,0.000000," ","integrate(x^4*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{4}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^4/(c*x^2)^(5/2), x)","F",0
966,0,0,0,0.000000," ","integrate(x^3*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{3}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^3/(c*x^2)^(5/2), x)","F",0
967,0,0,0,0.000000," ","integrate(x^2*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{2}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^2/(c*x^2)^(5/2), x)","F",0
968,0,0,0,0.000000," ","integrate(x*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*x/(c*x^2)^(5/2), x)","F",0
969,-2,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^(5/2)*(b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Undef/Unsigned Inf encountered in limit"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
970,-2,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^(3/2)*(b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Undef/Unsigned Inf encountered in limit"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
971,-2,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^(1/2)*(b*x+a),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Undef/Unsigned Inf encountered in limit"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
972,0,0,0,0.000000," ","integrate((d*x)^m*(b*x+a)/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)} \left(d x\right)^{m}}{\sqrt{c x^{2}}}\,{d x}"," ",0,"integrate((b*x + a)*(d*x)^m/sqrt(c*x^2), x)","F",0
973,0,0,0,0.000000," ","integrate((d*x)^m*(b*x+a)/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)} \left(d x\right)^{m}}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)*(d*x)^m/(c*x^2)^(3/2), x)","F",0
974,0,0,0,0.000000," ","integrate((d*x)^m*(b*x+a)/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)} \left(d x\right)^{m}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)*(d*x)^m/(c*x^2)^(5/2), x)","F",0
975,-2,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^(5/2)*(b*x+a)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Undef/Unsigned Inf encountered in limit"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
976,-2,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^(3/2)*(b*x+a)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Undef/Unsigned Inf encountered in limit"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
977,-2,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^(1/2)*(b*x+a)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Undef/Unsigned Inf encountered in limit"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
978,0,0,0,0.000000," ","integrate((d*x)^m*(b*x+a)^2/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{2} \left(d x\right)^{m}}{\sqrt{c x^{2}}}\,{d x}"," ",0,"integrate((b*x + a)^2*(d*x)^m/sqrt(c*x^2), x)","F",0
979,0,0,0,0.000000," ","integrate((d*x)^m*(b*x+a)^2/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{2} \left(d x\right)^{m}}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^2*(d*x)^m/(c*x^2)^(3/2), x)","F",0
980,0,0,0,0.000000," ","integrate((d*x)^m*(b*x+a)^2/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{2} \left(d x\right)^{m}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^2*(d*x)^m/(c*x^2)^(5/2), x)","F",0
981,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^(5/2)*(b*x+a)^n,x, algorithm=""giac"")","\int \left(c x^{2}\right)^{\frac{5}{2}} {\left(b x + a\right)}^{n} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2)^(5/2)*(b*x + a)^n*(d*x)^m, x)","F",0
982,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^(3/2)*(b*x+a)^n,x, algorithm=""giac"")","\int \left(c x^{2}\right)^{\frac{3}{2}} {\left(b x + a\right)}^{n} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2)^(3/2)*(b*x + a)^n*(d*x)^m, x)","F",0
983,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^(1/2)*(b*x+a)^n,x, algorithm=""giac"")","\int \sqrt{c x^{2}} {\left(b x + a\right)}^{n} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^2)*(b*x + a)^n*(d*x)^m, x)","F",0
984,0,0,0,0.000000," ","integrate((d*x)^m*(b*x+a)^n/(c*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} \left(d x\right)^{m}}{\sqrt{c x^{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x)^m/sqrt(c*x^2), x)","F",0
985,0,0,0,0.000000," ","integrate((d*x)^m*(b*x+a)^n/(c*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} \left(d x\right)^{m}}{\left(c x^{2}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x)^m/(c*x^2)^(3/2), x)","F",0
986,0,0,0,0.000000," ","integrate((d*x)^m*(b*x+a)^n/(c*x^2)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} \left(d x\right)^{m}}{\left(c x^{2}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x)^m/(c*x^2)^(5/2), x)","F",0
987,1,74,0,1.260939," ","integrate(x^3*(c*x^2)^p*(b*x+a)^(-5-2*p),x, algorithm=""giac"")","\frac{\left(c x^{2}\right)^{p} b x^{5} e^{\left(-2 \, p \log\left(b x + a\right) - 5 \, \log\left(b x + a\right)\right)} + \left(c x^{2}\right)^{p} a x^{4} e^{\left(-2 \, p \log\left(b x + a\right) - 5 \, \log\left(b x + a\right)\right)}}{2 \, {\left(a p + 2 \, a\right)}}"," ",0,"1/2*((c*x^2)^p*b*x^5*e^(-2*p*log(b*x + a) - 5*log(b*x + a)) + (c*x^2)^p*a*x^4*e^(-2*p*log(b*x + a) - 5*log(b*x + a)))/(a*p + 2*a)","B",0
988,0,0,0,0.000000," ","integrate(x^2*(c*x^2)^p*(b*x+a)^(-4-2*p),x, algorithm=""giac"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p - 4} x^{2}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-2*p - 4)*x^2, x)","F",0
989,1,72,0,1.070196," ","integrate(x*(c*x^2)^p*(b*x+a)^(-3-2*p),x, algorithm=""giac"")","\frac{\left(c x^{2}\right)^{p} b x^{3} e^{\left(-2 \, p \log\left(b x + a\right) - 3 \, \log\left(b x + a\right)\right)} + \left(c x^{2}\right)^{p} a x^{2} e^{\left(-2 \, p \log\left(b x + a\right) - 3 \, \log\left(b x + a\right)\right)}}{2 \, {\left(a p + a\right)}}"," ",0,"1/2*((c*x^2)^p*b*x^3*e^(-2*p*log(b*x + a) - 3*log(b*x + a)) + (c*x^2)^p*a*x^2*e^(-2*p*log(b*x + a) - 3*log(b*x + a)))/(a*p + a)","B",0
990,0,0,0,0.000000," ","integrate((c*x^2)^p*(b*x+a)^(-2-2*p),x, algorithm=""giac"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p - 2}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-2*p - 2), x)","F",0
991,0,0,0,0.000000," ","integrate((c*x^2)^p*(b*x+a)^(-1-2*p)/x,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p - 1}}{x}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-2*p - 1)/x, x)","F",0
992,0,0,0,0.000000," ","integrate((c*x^2)^p/x^2/((b*x+a)^(2*p)),x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{p}}{{\left(b x + a\right)}^{2 \, p} x^{2}}\,{d x}"," ",0,"integrate((c*x^2)^p/((b*x + a)^(2*p)*x^2), x)","F",0
993,0,0,0,0.000000," ","integrate((c*x^2)^p*(b*x+a)^(1-2*p)/x^3,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p + 1}}{x^{3}}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-2*p + 1)/x^3, x)","F",0
994,0,0,0,0.000000," ","integrate((c*x^2)^p*(b*x+a)^(2-2*p)/x^4,x, algorithm=""giac"")","\int \frac{\left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-2 \, p + 2}}{x^{4}}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-2*p + 2)/x^4, x)","F",0
995,0,0,0,0.000000," ","integrate(x^m*(c*x^2)^p*(b*x+a)^(-2-m-2*p),x, algorithm=""giac"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-m - 2 \, p - 2} x^{m}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-m - 2*p - 2)*x^m, x)","F",0
996,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^p*(b*x+a)^(-2-m-2*p),x, algorithm=""giac"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{-m - 2 \, p - 2} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^(-m - 2*p - 2)*(d*x)^m, x)","F",0
997,0,0,0,0.000000," ","integrate(x^m*(c*x^2)^p*(b*x+a)^n,x, algorithm=""giac"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{n} x^{m}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^n*x^m, x)","F",0
998,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^2)^p*(b*x+a)^n,x, algorithm=""giac"")","\int \left(c x^{2}\right)^{p} {\left(b x + a\right)}^{n} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^2)^p*(b*x + a)^n*(d*x)^m, x)","F",0
999,1,31,0,1.085769," ","integrate((b*x+a)^5/(a*d/b+d*x)^3,x, algorithm=""giac"")","\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
1000,1,20,0,1.194052," ","integrate((b*x+a)^4/(a*d/b+d*x)^3,x, algorithm=""giac"")","\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
1001,1,8,0,1.004148," ","integrate((b*x+a)^3/(a*d/b+d*x)^3,x, algorithm=""giac"")","\frac{b^{3} x}{d^{3}}"," ",0,"b^3*x/d^3","A",0
1002,1,14,0,1.072682," ","integrate((b*x+a)^2/(a*d/b+d*x)^3,x, algorithm=""giac"")","\frac{b^{2} \log\left({\left| b x + a \right|}\right)}{d^{3}}"," ",0,"b^2*log(abs(b*x + a))/d^3","A",0
1003,1,15,0,0.988324," ","integrate((b*x+a)/(a*d/b+d*x)^3,x, algorithm=""giac"")","-\frac{b^{2}}{{\left(b x + a\right)} d^{3}}"," ",0,"-b^2/((b*x + a)*d^3)","A",0
1004,1,15,0,1.187005," ","integrate(1/(b*x+a)/(a*d/b+d*x)^3,x, algorithm=""giac"")","-\frac{b^{2}}{3 \, {\left(b x + a\right)}^{3} d^{3}}"," ",0,"-1/3*b^2/((b*x + a)^3*d^3)","A",0
1005,1,15,0,0.905144," ","integrate(1/(b*x+a)^2/(a*d/b+d*x)^3,x, algorithm=""giac"")","-\frac{b^{2}}{4 \, {\left(b x + a\right)}^{4} d^{3}}"," ",0,"-1/4*b^2/((b*x + a)^4*d^3)","A",0
1006,1,15,0,0.961775," ","integrate(1/(b*x+a)^3/(a*d/b+d*x)^3,x, algorithm=""giac"")","-\frac{b^{2}}{5 \, {\left(b x + a\right)}^{5} d^{3}}"," ",0,"-1/5*b^2/((b*x + a)^5*d^3)","A",0
1007,1,35,0,1.006676," ","integrate((b*c/d+b*x)^5/(d*x+c)^3,x, algorithm=""giac"")","\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
1008,1,21,0,1.037148," ","integrate((b*c/d+b*x)^4/(d*x+c)^3,x, algorithm=""giac"")","\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
1009,1,8,0,1.050019," ","integrate((b*c/d+b*x)^3/(d*x+c)^3,x, algorithm=""giac"")","\frac{b^{3} x}{d^{3}}"," ",0,"b^3*x/d^3","A",0
1010,1,14,0,0.889501," ","integrate((b*c/d+b*x)^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{b^{2} \log\left({\left| d x + c \right|}\right)}{d^{3}}"," ",0,"b^2*log(abs(d*x + c))/d^3","A",0
1011,1,13,0,1.000669," ","integrate((b*c/d+b*x)/(d*x+c)^3,x, algorithm=""giac"")","-\frac{b}{{\left(d x + c\right)} d^{2}}"," ",0,"-b/((d*x + c)*d^2)","A",0
1012,1,12,0,1.135570," ","integrate(1/(b*c/d+b*x)/(d*x+c)^3,x, algorithm=""giac"")","-\frac{1}{3 \, {\left(d x + c\right)}^{3} b}"," ",0,"-1/3/((d*x + c)^3*b)","A",0
1013,1,20,0,0.977755," ","integrate(1/(b*c/d+b*x)^2/(d*x+c)^3,x, algorithm=""giac"")","-\frac{b^{2}}{4 \, {\left(b x + \frac{b c}{d}\right)}^{4} d^{3}}"," ",0,"-1/4*b^2/((b*x + b*c/d)^4*d^3)","A",0
1014,1,15,0,0.921844," ","integrate(1/(b*c/d+b*x)^3/(d*x+c)^3,x, algorithm=""giac"")","-\frac{d^{2}}{5 \, {\left(d x + c\right)}^{5} b^{3}}"," ",0,"-1/5*d^2/((d*x + c)^5*b^3)","A",0
1015,1,141,0,1.132293," ","integrate((b*x+a)^5*(b*c*x+a*c)^n,x, algorithm=""giac"")","\frac{{\left(b c x + a c\right)}^{n} b^{6} x^{6} + 6 \, {\left(b c x + a c\right)}^{n} a b^{5} x^{5} + 15 \, {\left(b c x + a c\right)}^{n} a^{2} b^{4} x^{4} + 20 \, {\left(b c x + a c\right)}^{n} a^{3} b^{3} x^{3} + 15 \, {\left(b c x + a c\right)}^{n} a^{4} b^{2} x^{2} + 6 \, {\left(b c x + a c\right)}^{n} a^{5} b x + {\left(b c x + a c\right)}^{n} a^{6}}{b n + 6 \, b}"," ",0,"((b*c*x + a*c)^n*b^6*x^6 + 6*(b*c*x + a*c)^n*a*b^5*x^5 + 15*(b*c*x + a*c)^n*a^2*b^4*x^4 + 20*(b*c*x + a*c)^n*a^3*b^3*x^3 + 15*(b*c*x + a*c)^n*a^4*b^2*x^2 + 6*(b*c*x + a*c)^n*a^5*b*x + (b*c*x + a*c)^n*a^6)/(b*n + 6*b)","B",0
1016,1,113,0,0.956584," ","integrate((b*x+a)^5*(b*c*x+a*c)^3,x, algorithm=""giac"")","\frac{1}{9} \, b^{8} c^{3} x^{9} + a b^{7} c^{3} x^{8} + 4 \, a^{2} b^{6} c^{3} x^{7} + \frac{28}{3} \, a^{3} b^{5} c^{3} x^{6} + 14 \, a^{4} b^{4} c^{3} x^{5} + 14 \, a^{5} b^{3} c^{3} x^{4} + \frac{28}{3} \, a^{6} b^{2} c^{3} x^{3} + 4 \, a^{7} b c^{3} x^{2} + a^{8} c^{3} x"," ",0,"1/9*b^8*c^3*x^9 + a*b^7*c^3*x^8 + 4*a^2*b^6*c^3*x^7 + 28/3*a^3*b^5*c^3*x^6 + 14*a^4*b^4*c^3*x^5 + 14*a^5*b^3*c^3*x^4 + 28/3*a^6*b^2*c^3*x^3 + 4*a^7*b*c^3*x^2 + a^8*c^3*x","B",0
1017,1,99,0,0.986176," ","integrate((b*x+a)^5*(b*c*x+a*c)^2,x, algorithm=""giac"")","\frac{1}{8} \, b^{7} c^{2} x^{8} + a b^{6} c^{2} x^{7} + \frac{7}{2} \, a^{2} b^{5} c^{2} x^{6} + 7 \, a^{3} b^{4} c^{2} x^{5} + \frac{35}{4} \, a^{4} b^{3} c^{2} x^{4} + 7 \, a^{5} b^{2} c^{2} x^{3} + \frac{7}{2} \, a^{6} b c^{2} x^{2} + a^{7} c^{2} x"," ",0,"1/8*b^7*c^2*x^8 + a*b^6*c^2*x^7 + 7/2*a^2*b^5*c^2*x^6 + 7*a^3*b^4*c^2*x^5 + 35/4*a^4*b^3*c^2*x^4 + 7*a^5*b^2*c^2*x^3 + 7/2*a^6*b*c^2*x^2 + a^7*c^2*x","B",0
1018,1,71,0,1.092530," ","integrate((b*x+a)^5*(b*c*x+a*c),x, algorithm=""giac"")","\frac{1}{7} \, b^{6} c x^{7} + a b^{5} c x^{6} + 3 \, a^{2} b^{4} c x^{5} + 5 \, a^{3} b^{3} c x^{4} + 5 \, a^{4} b^{2} c x^{3} + 3 \, a^{5} b c x^{2} + a^{6} c x"," ",0,"1/7*b^6*c*x^7 + a*b^5*c*x^6 + 3*a^2*b^4*c*x^5 + 5*a^3*b^3*c*x^4 + 5*a^4*b^2*c*x^3 + 3*a^5*b*c*x^2 + a^6*c*x","B",0
1019,1,48,0,0.892723," ","integrate((b*x+a)^5/(b*c*x+a*c),x, algorithm=""giac"")","\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
1020,1,18,0,0.977673," ","integrate((b*x+a)^5/(b*c*x+a*c)^2,x, algorithm=""giac"")","\frac{{\left(b c x + a c\right)}^{4}}{4 \, b c^{6}}"," ",0,"1/4*(b*c*x + a*c)^4/(b*c^6)","A",0
1021,1,26,0,1.001522," ","integrate((b*x+a)^5/(b*c*x+a*c)^3,x, algorithm=""giac"")","\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
1022,1,15,0,1.211431," ","integrate((b*x+a)^5/(b*c*x+a*c)^4,x, algorithm=""giac"")","\frac{b x^{2} + 2 \, a x}{2 \, c^{4}}"," ",0,"1/2*(b*x^2 + 2*a*x)/c^4","A",0
1023,1,15,0,1.110569," ","integrate((b*x+a)^5/(b*c*x+a*c)^5,x, algorithm=""giac"")","\frac{b c x + a c}{b c^{6}}"," ",0,"(b*c*x + a*c)/(b*c^6)","B",0
1024,1,14,0,0.954674," ","integrate((b*x+a)^5/(b*c*x+a*c)^6,x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b c^{6}}"," ",0,"log(abs(b*x + a))/(b*c^6)","A",0
1025,1,15,0,1.090451," ","integrate((b*x+a)^5/(b*c*x+a*c)^7,x, algorithm=""giac"")","-\frac{1}{{\left(b x + a\right)} b c^{7}}"," ",0,"-1/((b*x + a)*b*c^7)","A",0
1026,1,15,0,1.046678," ","integrate((b*x+a)^5/(b*c*x+a*c)^8,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(b x + a\right)}^{2} b c^{8}}"," ",0,"-1/2/((b*x + a)^2*b*c^8)","A",0
1027,1,11,0,1.008098," ","integrate(1/(-2-3*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} i \, \log\left({\left| 3 \, x + 2 \right|}\right) \mathrm{sgn}\left(x\right)"," ",0,"-1/3*I*log(abs(3*x + 2))*sgn(x)","C",0
1028,1,44,0,0.998041," ","integrate((b*x+a)*(-b*c*x+a*c)^3,x, algorithm=""giac"")","-\frac{1}{5} \, b^{4} c^{3} x^{5} + \frac{1}{2} \, a b^{3} c^{3} x^{4} - a^{3} b c^{3} x^{2} + a^{4} c^{3} x"," ",0,"-1/5*b^4*c^3*x^5 + 1/2*a*b^3*c^3*x^4 - a^3*b*c^3*x^2 + a^4*c^3*x","A",0
1029,1,44,0,1.037155," ","integrate((b*x+a)*(-b*c*x+a*c)^2,x, algorithm=""giac"")","\frac{1}{4} \, b^{3} c^{2} x^{4} - \frac{1}{3} \, a b^{2} c^{2} x^{3} - \frac{1}{2} \, a^{2} b c^{2} x^{2} + a^{3} c^{2} x"," ",0,"1/4*b^3*c^2*x^4 - 1/3*a*b^2*c^2*x^3 - 1/2*a^2*b*c^2*x^2 + a^3*c^2*x","A",0
1030,1,16,0,1.010315," ","integrate((b*x+a)*(-b*c*x+a*c),x, algorithm=""giac"")","-\frac{1}{3} \, b^{2} c x^{3} + a^{2} c x"," ",0,"-1/3*b^2*c*x^3 + a^2*c*x","A",0
1031,1,10,0,0.859438," ","integrate(b*x+a,x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} + a x"," ",0,"1/2*b*x^2 + a*x","A",0
1032,1,25,0,0.923582," ","integrate((b*x+a)/(-b*c*x+a*c),x, algorithm=""giac"")","-\frac{x}{c} - \frac{2 \, a \log\left({\left| b x - a \right|}\right)}{b c}"," ",0,"-x/c - 2*a*log(abs(b*x - a))/(b*c)","A",0
1033,1,81,0,1.114166," ","integrate((b*x+a)/(-b*c*x+a*c)^2,x, algorithm=""giac"")","-\frac{\frac{a}{{\left(b c x - a c\right)} b} + \frac{\log\left(\frac{{\left| b c x - a c \right|}}{{\left(b c x - a c\right)}^{2} {\left| b \right|} {\left| c \right|}}\right)}{b c}}{c} - \frac{a}{{\left(b c x - a c\right)} b c}"," ",0,"-(a/((b*c*x - a*c)*b) + log(abs(b*c*x - a*c)/((b*c*x - a*c)^2*abs(b)*abs(c)))/(b*c))/c - a/((b*c*x - a*c)*b*c)","B",0
1034,1,14,0,0.891955," ","integrate((b*x+a)/(-b*c*x+a*c)^3,x, algorithm=""giac"")","\frac{x}{{\left(b x - a\right)}^{2} c^{3}}"," ",0,"x/((b*x - a)^2*c^3)","A",0
1035,1,23,0,0.978718," ","integrate((b*x+a)/(-b*c*x+a*c)^4,x, algorithm=""giac"")","-\frac{3 \, b x + a}{6 \, {\left(b x - a\right)}^{3} b c^{4}}"," ",0,"-1/6*(3*b*x + a)/((b*x - a)^3*b*c^4)","A",0
1036,1,40,0,0.953377," ","integrate((b*x+a)/(-b*c*x+a*c)^5,x, algorithm=""giac"")","\frac{a}{2 \, {\left(b c x - a c\right)}^{4} b c} + \frac{1}{3 \, {\left(b c x - a c\right)}^{3} b c^{2}}"," ",0,"1/2*a/((b*c*x - a*c)^4*b*c) + 1/3/((b*c*x - a*c)^3*b*c^2)","A",0
1037,1,25,0,1.035403," ","integrate((b*x+a)/(-b*c*x+a*c)^6,x, algorithm=""giac"")","-\frac{5 \, b x + 3 \, a}{20 \, {\left(b x - a\right)}^{5} b c^{6}}"," ",0,"-1/20*(5*b*x + 3*a)/((b*x - a)^5*b*c^6)","A",0
1038,1,72,0,1.040965," ","integrate((b*x+a)^2*(-b*c*x+a*c)^3,x, algorithm=""giac"")","-\frac{1}{6} \, b^{5} c^{3} x^{6} + \frac{1}{5} \, a b^{4} c^{3} x^{5} + \frac{1}{2} \, a^{2} b^{3} c^{3} x^{4} - \frac{2}{3} \, a^{3} b^{2} c^{3} x^{3} - \frac{1}{2} \, a^{4} b c^{3} x^{2} + a^{5} c^{3} x"," ",0,"-1/6*b^5*c^3*x^6 + 1/5*a*b^4*c^3*x^5 + 1/2*a^2*b^3*c^3*x^4 - 2/3*a^3*b^2*c^3*x^3 - 1/2*a^4*b*c^3*x^2 + a^5*c^3*x","A",0
1039,1,34,0,1.104751," ","integrate((b*x+a)^2*(-b*c*x+a*c)^2,x, algorithm=""giac"")","\frac{1}{5} \, b^{4} c^{2} x^{5} - \frac{2}{3} \, a^{2} b^{2} c^{2} x^{3} + a^{4} c^{2} x"," ",0,"1/5*b^4*c^2*x^5 - 2/3*a^2*b^2*c^2*x^3 + a^4*c^2*x","A",0
1040,1,36,0,1.019879," ","integrate((b*x+a)^2*(-b*c*x+a*c),x, algorithm=""giac"")","-\frac{1}{4} \, b^{3} c x^{4} - \frac{1}{3} \, a b^{2} c x^{3} + \frac{1}{2} \, a^{2} b c x^{2} + a^{3} c x"," ",0,"-1/4*b^3*c*x^4 - 1/3*a*b^2*c*x^3 + 1/2*a^2*b*c*x^2 + a^3*c*x","A",0
1041,1,12,0,0.967310," ","integrate((b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{3}}{3 \, b}"," ",0,"1/3*(b*x + a)^3/b","A",0
1042,1,46,0,0.874634," ","integrate((b*x+a)^2/(-b*c*x+a*c),x, algorithm=""giac"")","-\frac{4 \, a^{2} \log\left({\left| b x - a \right|}\right)}{b c} - \frac{b^{3} c x^{2} + 6 \, a b^{2} c x}{2 \, b^{2} c^{2}}"," ",0,"-4*a^2*log(abs(b*x - a))/(b*c) - 1/2*(b^3*c*x^2 + 6*a*b^2*c*x)/(b^2*c^2)","A",0
1043,1,79,0,1.083340," ","integrate((b*x+a)^2/(-b*c*x+a*c)^2,x, algorithm=""giac"")","-\frac{4 \, a^{2}}{{\left(b c x - a c\right)} b c} - \frac{4 \, a \log\left(\frac{{\left| b c x - a c \right|}}{{\left(b c x - a c\right)}^{2} {\left| b \right|} {\left| c \right|}}\right)}{b c^{2}} + \frac{b c x - a c}{b c^{3}}"," ",0,"-4*a^2/((b*c*x - a*c)*b*c) - 4*a*log(abs(b*c*x - a*c)/((b*c*x - a*c)^2*abs(b)*abs(c)))/(b*c^2) + (b*c*x - a*c)/(b*c^3)","A",0
1044,1,46,0,1.072200," ","integrate((b*x+a)^2/(-b*c*x+a*c)^3,x, algorithm=""giac"")","-\frac{\log\left({\left| b x - a \right|}\right)}{b c^{3}} + \frac{2 \, {\left(2 \, a b x - a^{2}\right)}}{{\left(b x - a\right)}^{2} b c^{3}}"," ",0,"-log(abs(b*x - a))/(b*c^3) + 2*(2*a*b*x - a^2)/((b*x - a)^2*b*c^3)","A",0
1045,1,29,0,0.983666," ","integrate((b*x+a)^2/(-b*c*x+a*c)^4,x, algorithm=""giac"")","-\frac{3 \, b^{2} x^{2} + a^{2}}{3 \, {\left(b x - a\right)}^{3} b c^{4}}"," ",0,"-1/3*(3*b^2*x^2 + a^2)/((b*x - a)^3*b*c^4)","A",0
1046,1,64,0,1.069853," ","integrate((b*x+a)^2/(-b*c*x+a*c)^5,x, algorithm=""giac"")","\frac{\frac{6 \, a^{2}}{{\left(b c x - a c\right)}^{4} b} + \frac{8 \, a}{{\left(b c x - a c\right)}^{3} b c} + \frac{3}{{\left(b c x - a c\right)}^{2} b c^{2}}}{6 \, c}"," ",0,"1/6*(6*a^2/((b*c*x - a*c)^4*b) + 8*a/((b*c*x - a*c)^3*b*c) + 3/((b*c*x - a*c)^2*b*c^2))/c","A",0
1047,1,36,0,0.846495," ","integrate((b*x+a)^2/(-b*c*x+a*c)^6,x, algorithm=""giac"")","-\frac{5 \, b^{2} x^{2} + 5 \, a b x + 2 \, a^{2}}{15 \, {\left(b x - a\right)}^{5} b c^{6}}"," ",0,"-1/15*(5*b^2*x^2 + 5*a*b*x + 2*a^2)/((b*x - a)^5*b*c^6)","A",0
1048,1,36,0,0.933645," ","integrate((b*x+a)^2/(-b*c*x+a*c)^7,x, algorithm=""giac"")","\frac{15 \, b^{2} x^{2} + 18 \, a b x + 7 \, a^{2}}{60 \, {\left(b x - a\right)}^{6} b c^{7}}"," ",0,"1/60*(15*b^2*x^2 + 18*a*b*x + 7*a^2)/((b*x - a)^6*b*c^7)","A",0
1049,1,59,0,1.147747," ","integrate((-b*c*x+a*c)^3/(b*x+a),x, algorithm=""giac"")","\frac{8 \, a^{3} c^{3} \log\left({\left| b x + a \right|}\right)}{b} - \frac{b^{5} c^{3} x^{3} - 6 \, a b^{4} c^{3} x^{2} + 21 \, a^{2} b^{3} c^{3} x}{3 \, b^{3}}"," ",0,"8*a^3*c^3*log(abs(b*x + a))/b - 1/3*(b^5*c^3*x^3 - 6*a*b^4*c^3*x^2 + 21*a^2*b^3*c^3*x)/b^3","A",0
1050,1,45,0,0.871351," ","integrate((-b*c*x+a*c)^2/(b*x+a),x, algorithm=""giac"")","\frac{4 \, a^{2} c^{2} \log\left({\left| b x + a \right|}\right)}{b} + \frac{b^{3} c^{2} x^{2} - 6 \, a b^{2} c^{2} x}{2 \, b^{2}}"," ",0,"4*a^2*c^2*log(abs(b*x + a))/b + 1/2*(b^3*c^2*x^2 - 6*a*b^2*c^2*x)/b^2","A",0
1051,1,19,0,1.012803," ","integrate((-b*c*x+a*c)/(b*x+a),x, algorithm=""giac"")","-c x + \frac{2 \, a c \log\left({\left| b x + a \right|}\right)}{b}"," ",0,"-c*x + 2*a*c*log(abs(b*x + a))/b","A",0
1052,1,11,0,1.055171," ","integrate(1/(b*x+a),x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b}"," ",0,"log(abs(b*x + a))/b","A",0
1053,1,39,0,1.195109," ","integrate(1/(b*x+a)/(-b*c*x+a*c),x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{2 \, a b c} - \frac{\log\left({\left| b x - a \right|}\right)}{2 \, a b c}"," ",0,"1/2*log(abs(b*x + a))/(a*b*c) - 1/2*log(abs(b*x - a))/(a*b*c)","B",0
1054,1,53,0,1.029812," ","integrate(1/(b*x+a)/(-b*c*x+a*c)^2,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(b c x - a c\right)} a b c} + \frac{\log\left({\left| -\frac{2 \, a c}{b c x - a c} - 1 \right|}\right)}{4 \, a^{2} b c^{2}}"," ",0,"-1/2/((b*c*x - a*c)*a*b*c) + 1/4*log(abs(-2*a*c/(b*c*x - a*c) - 1))/(a^2*b*c^2)","A",0
1055,1,69,0,0.866384," ","integrate(1/(b*x+a)/(-b*c*x+a*c)^3,x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{8 \, a^{3} b c^{3}} - \frac{\log\left({\left| b x - a \right|}\right)}{8 \, a^{3} b c^{3}} - \frac{a b x - 2 \, a^{2}}{4 \, {\left(b x - a\right)}^{2} a^{3} b c^{3}}"," ",0,"1/8*log(abs(b*x + a))/(a^3*b*c^3) - 1/8*log(abs(b*x - a))/(a^3*b*c^3) - 1/4*(a*b*x - 2*a^2)/((b*x - a)^2*a^3*b*c^3)","A",0
1056,1,80,0,1.118617," ","integrate((-b*c*x+a*c)^3/(b*x+a)^2,x, algorithm=""giac"")","\frac{12 \, a^{2} c^{3} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b} - \frac{8 \, a^{3} c^{3}}{{\left(b x + a\right)} b} + \frac{{\left(\frac{12 \, a c^{3}}{b x + a} - c^{3}\right)} {\left(b x + a\right)}^{2}}{2 \, b}"," ",0,"12*a^2*c^3*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b - 8*a^3*c^3/((b*x + a)*b) + 1/2*(12*a*c^3/(b*x + a) - c^3)*(b*x + a)^2/b","A",0
1057,1,59,0,1.182681," ","integrate((-b*c*x+a*c)^2/(b*x+a)^2,x, algorithm=""giac"")","\frac{4 \, a c^{2} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b} + \frac{{\left(b x + a\right)} c^{2}}{b} - \frac{4 \, a^{2} c^{2}}{{\left(b x + a\right)} b}"," ",0,"4*a*c^2*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b + (b*x + a)*c^2/b - 4*a^2*c^2/((b*x + a)*b)","A",0
1058,1,54,0,1.021619," ","integrate((-b*c*x+a*c)/(b*x+a)^2,x, algorithm=""giac"")","c {\left(\frac{\log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b} - \frac{a}{{\left(b x + a\right)} b}\right)} - \frac{a c}{{\left(b x + a\right)} b}"," ",0,"c*(log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b - a/((b*x + a)*b)) - a*c/((b*x + a)*b)","A",0
1059,1,12,0,1.106039," ","integrate(1/(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{{\left(b x + a\right)} b}"," ",0,"-1/((b*x + a)*b)","A",0
1060,1,44,0,0.953307," ","integrate(1/(b*x+a)^2/(-b*c*x+a*c),x, algorithm=""giac"")","-\frac{\log\left({\left| -\frac{2 \, a}{b x + a} + 1 \right|}\right)}{4 \, a^{2} b c} - \frac{1}{2 \, {\left(b x + a\right)} a b c}"," ",0,"-1/4*log(abs(-2*a/(b*x + a) + 1))/(a^2*b*c) - 1/2/((b*x + a)*a*b*c)","A",0
1061,1,83,0,1.066412," ","integrate(1/(b*x+a)^2/(-b*c*x+a*c)^2,x, algorithm=""giac"")","-\frac{1}{4 \, {\left(b c x - a c\right)} a^{2} b c} + \frac{\log\left({\left| -\frac{2 \, a c}{b c x - a c} - 1 \right|}\right)}{4 \, a^{3} b c^{2}} + \frac{1}{8 \, a^{3} b {\left(\frac{2 \, a c}{b c x - a c} + 1\right)} c^{2}}"," ",0,"-1/4/((b*c*x - a*c)*a^2*b*c) + 1/4*log(abs(-2*a*c/(b*c*x - a*c) - 1))/(a^3*b*c^2) + 1/8/(a^3*b*(2*a*c/(b*c*x - a*c) + 1)*c^2)","A",0
1062,1,81,0,0.961087," ","integrate(1/(b*x+a)^2/(-b*c*x+a*c)^3,x, algorithm=""giac"")","-\frac{3 \, \log\left({\left| -\frac{2 \, a}{b x + a} + 1 \right|}\right)}{16 \, a^{4} b c^{3}} - \frac{1}{8 \, {\left(b x + a\right)} a^{3} b c^{3}} + \frac{\frac{12 \, a}{b x + a} - 5}{32 \, a^{4} b c^{3} {\left(\frac{2 \, a}{b x + a} - 1\right)}^{2}}"," ",0,"-3/16*log(abs(-2*a/(b*x + a) + 1))/(a^4*b*c^3) - 1/8/((b*x + a)*a^3*b*c^3) + 1/32*(12*a/(b*x + a) - 5)/(a^4*b*c^3*(2*a/(b*x + a) - 1)^2)","A",0
1063,1,185,0,1.272645," ","integrate((1-x)^(9/2)*(1+x)^(1/2),x, algorithm=""giac"")","\frac{1}{240} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, x - 26\right)} {\left(x + 1\right)} + 321\right)} {\left(x + 1\right)} - 451\right)} {\left(x + 1\right)} + 745\right)} {\left(x + 1\right)} - 405\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{40} \, {\left({\left(2 \, {\left(3 \, {\left(4 \, x - 17\right)} {\left(x + 1\right)} + 133\right)} {\left(x + 1\right)} - 295\right)} {\left(x + 1\right)} + 195\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{12} \, {\left({\left(2 \, {\left(3 \, x - 10\right)} {\left(x + 1\right)} + 43\right)} {\left(x + 1\right)} - 39\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{3} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{3}{2} \, \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{21}{8} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/240*((2*((4*(5*x - 26)*(x + 1) + 321)*(x + 1) - 451)*(x + 1) + 745)*(x + 1) - 405)*sqrt(x + 1)*sqrt(-x + 1) - 1/40*((2*(3*(4*x - 17)*(x + 1) + 133)*(x + 1) - 295)*(x + 1) + 195)*sqrt(x + 1)*sqrt(-x + 1) + 1/12*((2*(3*x - 10)*(x + 1) + 43)*(x + 1) - 39)*sqrt(x + 1)*sqrt(-x + 1) + 1/3*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) - 3/2*sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 21/8*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1064,1,115,0,1.060555," ","integrate((1-x)^(7/2)*(1+x)^(1/2),x, algorithm=""giac"")","-\frac{1}{120} \, {\left({\left(2 \, {\left(3 \, {\left(4 \, x - 17\right)} {\left(x + 1\right)} + 133\right)} {\left(x + 1\right)} - 295\right)} {\left(x + 1\right)} + 195\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{12} \, {\left({\left(2 \, {\left(3 \, x - 10\right)} {\left(x + 1\right)} + 43\right)} {\left(x + 1\right)} - 39\right)} \sqrt{x + 1} \sqrt{-x + 1} - \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{7}{4} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/120*((2*(3*(4*x - 17)*(x + 1) + 133)*(x + 1) - 295)*(x + 1) + 195)*sqrt(x + 1)*sqrt(-x + 1) + 1/12*((2*(3*x - 10)*(x + 1) + 43)*(x + 1) - 39)*sqrt(x + 1)*sqrt(-x + 1) - sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 7/4*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1065,1,101,0,1.292697," ","integrate((1-x)^(5/2)*(1+x)^(1/2),x, algorithm=""giac"")","\frac{1}{24} \, {\left({\left(2 \, {\left(3 \, x - 10\right)} {\left(x + 1\right)} + 43\right)} {\left(x + 1\right)} - 39\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{6} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{2} \, \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{5}{4} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/24*((2*(3*x - 10)*(x + 1) + 43)*(x + 1) - 39)*sqrt(x + 1)*sqrt(-x + 1) - 1/6*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) - 1/2*sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 5/4*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1066,1,50,0,1.022865," ","integrate((1-x)^(3/2)*(1+x)^(1/2),x, algorithm=""giac"")","-\frac{1}{6} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/6*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1067,1,42,0,1.035977," ","integrate((1-x)^(1/2)*(1+x)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/2*sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1068,1,28,0,1.013943," ","integrate((1+x)^(1/2)/(1-x)^(1/2),x, algorithm=""giac"")","-\sqrt{x + 1} \sqrt{-x + 1} + 2 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-sqrt(x + 1)*sqrt(-x + 1) + 2*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1069,1,33,0,1.064277," ","integrate((1+x)^(1/2)/(1-x)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{x + 1} \sqrt{-x + 1}}{x - 1} - 2 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-2*sqrt(x + 1)*sqrt(-x + 1)/(x - 1) - 2*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1070,1,19,0,0.936850," ","integrate((1+x)^(1/2)/(1-x)^(5/2),x, algorithm=""giac"")","\frac{{\left(x + 1\right)}^{\frac{3}{2}} \sqrt{-x + 1}}{3 \, {\left(x - 1\right)}^{2}}"," ",0,"1/3*(x + 1)^(3/2)*sqrt(-x + 1)/(x - 1)^2","A",0
1071,1,22,0,1.046368," ","integrate((1+x)^(1/2)/(1-x)^(7/2),x, algorithm=""giac"")","\frac{{\left(x + 1\right)}^{\frac{3}{2}} {\left(x - 4\right)} \sqrt{-x + 1}}{15 \, {\left(x - 1\right)}^{3}}"," ",0,"1/15*(x + 1)^(3/2)*(x - 4)*sqrt(-x + 1)/(x - 1)^3","A",0
1072,1,29,0,1.224154," ","integrate((1+x)^(1/2)/(1-x)^(9/2),x, algorithm=""giac"")","\frac{{\left(2 \, {\left(x + 1\right)} {\left(x - 6\right)} + 35\right)} {\left(x + 1\right)}^{\frac{3}{2}} \sqrt{-x + 1}}{105 \, {\left(x - 1\right)}^{4}}"," ",0,"1/105*(2*(x + 1)*(x - 6) + 35)*(x + 1)^(3/2)*sqrt(-x + 1)/(x - 1)^4","A",0
1073,1,35,0,1.118132," ","integrate((1+x)^(1/2)/(1-x)^(11/2),x, algorithm=""giac"")","\frac{{\left({\left(2 \, {\left(x + 1\right)} {\left(x - 8\right)} + 63\right)} {\left(x + 1\right)} - 105\right)} {\left(x + 1\right)}^{\frac{3}{2}} \sqrt{-x + 1}}{315 \, {\left(x - 1\right)}^{5}}"," ",0,"1/315*((2*(x + 1)*(x - 8) + 63)*(x + 1) - 105)*(x + 1)^(3/2)*sqrt(-x + 1)/(x - 1)^5","A",0
1074,1,42,0,1.358958," ","integrate((1+x)^(1/2)/(1-x)^(13/2),x, algorithm=""giac"")","\frac{{\left(4 \, {\left({\left(2 \, {\left(x + 1\right)} {\left(x - 10\right)} + 99\right)} {\left(x + 1\right)} - 231\right)} {\left(x + 1\right)} + 1155\right)} {\left(x + 1\right)}^{\frac{3}{2}} \sqrt{-x + 1}}{3465 \, {\left(x - 1\right)}^{6}}"," ",0,"1/3465*(4*((2*(x + 1)*(x - 10) + 99)*(x + 1) - 231)*(x + 1) + 1155)*(x + 1)^(3/2)*sqrt(-x + 1)/(x - 1)^6","A",0
1075,1,237,0,1.256187," ","integrate((1-x)^(9/2)*(1+x)^(3/2),x, algorithm=""giac"")","\frac{1}{1680} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, {\left(6 \, x - 37\right)} {\left(x + 1\right)} + 661\right)} {\left(x + 1\right)} - 4551\right)} {\left(x + 1\right)} + 4781\right)} {\left(x + 1\right)} - 6335\right)} {\left(x + 1\right)} + 2835\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{120} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, x - 26\right)} {\left(x + 1\right)} + 321\right)} {\left(x + 1\right)} - 451\right)} {\left(x + 1\right)} + 745\right)} {\left(x + 1\right)} - 405\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{120} \, {\left({\left(2 \, {\left(3 \, {\left(4 \, x - 17\right)} {\left(x + 1\right)} + 133\right)} {\left(x + 1\right)} - 295\right)} {\left(x + 1\right)} + 195\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{6} \, {\left({\left(2 \, {\left(3 \, x - 10\right)} {\left(x + 1\right)} + 43\right)} {\left(x + 1\right)} - 39\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{6} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} - \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{9}{8} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/1680*((2*((4*(5*(6*x - 37)*(x + 1) + 661)*(x + 1) - 4551)*(x + 1) + 4781)*(x + 1) - 6335)*(x + 1) + 2835)*sqrt(x + 1)*sqrt(-x + 1) - 1/120*((2*((4*(5*x - 26)*(x + 1) + 321)*(x + 1) - 451)*(x + 1) + 745)*(x + 1) - 405)*sqrt(x + 1)*sqrt(-x + 1) - 1/120*((2*(3*(4*x - 17)*(x + 1) + 133)*(x + 1) - 295)*(x + 1) + 195)*sqrt(x + 1)*sqrt(-x + 1) + 1/6*((2*(3*x - 10)*(x + 1) + 43)*(x + 1) - 39)*sqrt(x + 1)*sqrt(-x + 1) - 1/6*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) - sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 9/8*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1076,1,185,0,1.330154," ","integrate((1-x)^(7/2)*(1+x)^(3/2),x, algorithm=""giac"")","-\frac{1}{240} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, x - 26\right)} {\left(x + 1\right)} + 321\right)} {\left(x + 1\right)} - 451\right)} {\left(x + 1\right)} + 745\right)} {\left(x + 1\right)} - 405\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{120} \, {\left({\left(2 \, {\left(3 \, {\left(4 \, x - 17\right)} {\left(x + 1\right)} + 133\right)} {\left(x + 1\right)} - 295\right)} {\left(x + 1\right)} + 195\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{12} \, {\left({\left(2 \, {\left(3 \, x - 10\right)} {\left(x + 1\right)} + 43\right)} {\left(x + 1\right)} - 39\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{3} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{2} \, \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{7}{8} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/240*((2*((4*(5*x - 26)*(x + 1) + 321)*(x + 1) - 451)*(x + 1) + 745)*(x + 1) - 405)*sqrt(x + 1)*sqrt(-x + 1) + 1/120*((2*(3*(4*x - 17)*(x + 1) + 133)*(x + 1) - 295)*(x + 1) + 195)*sqrt(x + 1)*sqrt(-x + 1) + 1/12*((2*(3*x - 10)*(x + 1) + 43)*(x + 1) - 39)*sqrt(x + 1)*sqrt(-x + 1) - 1/3*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) - 1/2*sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 7/8*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1077,1,91,0,1.164085," ","integrate((1-x)^(5/2)*(1+x)^(3/2),x, algorithm=""giac"")","\frac{1}{120} \, {\left({\left(2 \, {\left(3 \, {\left(4 \, x - 17\right)} {\left(x + 1\right)} + 133\right)} {\left(x + 1\right)} - 295\right)} {\left(x + 1\right)} + 195\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{3} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{3}{4} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/120*((2*(3*(4*x - 17)*(x + 1) + 133)*(x + 1) - 295)*(x + 1) + 195)*sqrt(x + 1)*sqrt(-x + 1) - 1/3*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 3/4*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1078,1,101,0,1.116414," ","integrate((1-x)^(3/2)*(1+x)^(3/2),x, algorithm=""giac"")","-\frac{1}{24} \, {\left({\left(2 \, {\left(3 \, x - 10\right)} {\left(x + 1\right)} + 43\right)} {\left(x + 1\right)} - 39\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{6} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{2} \, \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{3}{4} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/24*((2*(3*x - 10)*(x + 1) + 43)*(x + 1) - 39)*sqrt(x + 1)*sqrt(-x + 1) - 1/6*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) + 1/2*sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 3/4*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1079,1,66,0,0.920380," ","integrate((1-x)^(1/2)*(1+x)^(3/2),x, algorithm=""giac"")","\frac{1}{6} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} + \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/6*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) + sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1080,1,31,0,1.172206," ","integrate((1+x)^(3/2)/(1-x)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(x + 4\right)} \sqrt{x + 1} \sqrt{-x + 1} + 3 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/2*(x + 4)*sqrt(x + 1)*sqrt(-x + 1) + 3*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1081,1,35,0,1.190050," ","integrate((1+x)^(3/2)/(1-x)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{x + 1} {\left(x - 5\right)} \sqrt{-x + 1}}{x - 1} - 6 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"sqrt(x + 1)*(x - 5)*sqrt(-x + 1)/(x - 1) - 6*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1082,1,38,0,1.018992," ","integrate((1+x)^(3/2)/(1-x)^(5/2),x, algorithm=""giac"")","\frac{4 \, {\left(2 \, x - 1\right)} \sqrt{x + 1} \sqrt{-x + 1}}{3 \, {\left(x - 1\right)}^{2}} + 2 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"4/3*(2*x - 1)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^2 + 2*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1083,1,19,0,1.056960," ","integrate((1+x)^(3/2)/(1-x)^(7/2),x, algorithm=""giac"")","-\frac{{\left(x + 1\right)}^{\frac{5}{2}} \sqrt{-x + 1}}{5 \, {\left(x - 1\right)}^{3}}"," ",0,"-1/5*(x + 1)^(5/2)*sqrt(-x + 1)/(x - 1)^3","A",0
1084,1,22,0,1.126576," ","integrate((1+x)^(3/2)/(1-x)^(9/2),x, algorithm=""giac"")","-\frac{{\left(x + 1\right)}^{\frac{5}{2}} {\left(x - 6\right)} \sqrt{-x + 1}}{35 \, {\left(x - 1\right)}^{4}}"," ",0,"-1/35*(x + 1)^(5/2)*(x - 6)*sqrt(-x + 1)/(x - 1)^4","A",0
1085,1,29,0,1.105941," ","integrate((1+x)^(3/2)/(1-x)^(11/2),x, algorithm=""giac"")","-\frac{{\left(2 \, {\left(x + 1\right)} {\left(x - 8\right)} + 63\right)} {\left(x + 1\right)}^{\frac{5}{2}} \sqrt{-x + 1}}{315 \, {\left(x - 1\right)}^{5}}"," ",0,"-1/315*(2*(x + 1)*(x - 8) + 63)*(x + 1)^(5/2)*sqrt(-x + 1)/(x - 1)^5","A",0
1086,1,35,0,1.167435," ","integrate((1+x)^(3/2)/(1-x)^(13/2),x, algorithm=""giac"")","-\frac{{\left({\left(2 \, {\left(x + 1\right)} {\left(x - 10\right)} + 99\right)} {\left(x + 1\right)} - 231\right)} {\left(x + 1\right)}^{\frac{5}{2}} \sqrt{-x + 1}}{1155 \, {\left(x - 1\right)}^{6}}"," ",0,"-1/1155*((2*(x + 1)*(x - 10) + 99)*(x + 1) - 231)*(x + 1)^(5/2)*sqrt(-x + 1)/(x - 1)^6","A",0
1087,1,42,0,1.231316," ","integrate((1+x)^(3/2)/(1-x)^(15/2),x, algorithm=""giac"")","-\frac{{\left(4 \, {\left({\left(2 \, {\left(x + 1\right)} {\left(x - 12\right)} + 143\right)} {\left(x + 1\right)} - 429\right)} {\left(x + 1\right)} + 3003\right)} {\left(x + 1\right)}^{\frac{5}{2}} \sqrt{-x + 1}}{15015 \, {\left(x - 1\right)}^{7}}"," ",0,"-1/15015*(4*((2*(x + 1)*(x - 12) + 143)*(x + 1) - 429)*(x + 1) + 3003)*(x + 1)^(5/2)*sqrt(-x + 1)/(x - 1)^7","A",0
1088,1,323,0,1.399723," ","integrate((1-x)^(11/2)*(1+x)^(5/2),x, algorithm=""giac"")","-\frac{1}{40320} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, {\left(2 \, {\left(7 \, {\left(8 \, x - 65\right)} {\left(x + 1\right)} + 2073\right)} {\left(x + 1\right)} - 9833\right)} {\left(x + 1\right)} + 75293\right)} {\left(x + 1\right)} - 310203\right)} {\left(x + 1\right)} + 216993\right)} {\left(x + 1\right)} - 205275\right)} {\left(x + 1\right)} + 69615\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{6720} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, {\left(6 \, {\left(7 \, x - 50\right)} {\left(x + 1\right)} + 1219\right)} {\left(x + 1\right)} - 12463\right)} {\left(x + 1\right)} + 64233\right)} {\left(x + 1\right)} - 53963\right)} {\left(x + 1\right)} + 59465\right)} {\left(x + 1\right)} - 23205\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{840} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, {\left(6 \, x - 37\right)} {\left(x + 1\right)} + 661\right)} {\left(x + 1\right)} - 4551\right)} {\left(x + 1\right)} + 4781\right)} {\left(x + 1\right)} - 6335\right)} {\left(x + 1\right)} + 2835\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{40} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, x - 26\right)} {\left(x + 1\right)} + 321\right)} {\left(x + 1\right)} - 451\right)} {\left(x + 1\right)} + 745\right)} {\left(x + 1\right)} - 405\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{4} \, {\left({\left(2 \, {\left(3 \, x - 10\right)} {\left(x + 1\right)} + 43\right)} {\left(x + 1\right)} - 39\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{3} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} - \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{55}{64} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/40320*((2*((4*(5*(2*(7*(8*x - 65)*(x + 1) + 2073)*(x + 1) - 9833)*(x + 1) + 75293)*(x + 1) - 310203)*(x + 1) + 216993)*(x + 1) - 205275)*(x + 1) + 69615)*sqrt(x + 1)*sqrt(-x + 1) + 1/6720*((2*((4*(5*(6*(7*x - 50)*(x + 1) + 1219)*(x + 1) - 12463)*(x + 1) + 64233)*(x + 1) - 53963)*(x + 1) + 59465)*(x + 1) - 23205)*sqrt(x + 1)*sqrt(-x + 1) + 1/840*((2*((4*(5*(6*x - 37)*(x + 1) + 661)*(x + 1) - 4551)*(x + 1) + 4781)*(x + 1) - 6335)*(x + 1) + 2835)*sqrt(x + 1)*sqrt(-x + 1) - 1/40*((2*((4*(5*x - 26)*(x + 1) + 321)*(x + 1) - 451)*(x + 1) + 745)*(x + 1) - 405)*sqrt(x + 1)*sqrt(-x + 1) + 1/4*((2*(3*x - 10)*(x + 1) + 43)*(x + 1) - 39)*sqrt(x + 1)*sqrt(-x + 1) - 1/3*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) - sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 55/64*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1089,1,296,0,1.493258," ","integrate((1-x)^(9/2)*(1+x)^(5/2),x, algorithm=""giac"")","\frac{1}{13440} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, {\left(6 \, {\left(7 \, x - 50\right)} {\left(x + 1\right)} + 1219\right)} {\left(x + 1\right)} - 12463\right)} {\left(x + 1\right)} + 64233\right)} {\left(x + 1\right)} - 53963\right)} {\left(x + 1\right)} + 59465\right)} {\left(x + 1\right)} - 23205\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{1680} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, {\left(6 \, x - 37\right)} {\left(x + 1\right)} + 661\right)} {\left(x + 1\right)} - 4551\right)} {\left(x + 1\right)} + 4781\right)} {\left(x + 1\right)} - 6335\right)} {\left(x + 1\right)} + 2835\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{80} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, x - 26\right)} {\left(x + 1\right)} + 321\right)} {\left(x + 1\right)} - 451\right)} {\left(x + 1\right)} + 745\right)} {\left(x + 1\right)} - 405\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{40} \, {\left({\left(2 \, {\left(3 \, {\left(4 \, x - 17\right)} {\left(x + 1\right)} + 133\right)} {\left(x + 1\right)} - 295\right)} {\left(x + 1\right)} + 195\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{8} \, {\left({\left(2 \, {\left(3 \, x - 10\right)} {\left(x + 1\right)} + 43\right)} {\left(x + 1\right)} - 39\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{2} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{2} \, \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{45}{64} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/13440*((2*((4*(5*(6*(7*x - 50)*(x + 1) + 1219)*(x + 1) - 12463)*(x + 1) + 64233)*(x + 1) - 53963)*(x + 1) + 59465)*(x + 1) - 23205)*sqrt(x + 1)*sqrt(-x + 1) - 1/1680*((2*((4*(5*(6*x - 37)*(x + 1) + 661)*(x + 1) - 4551)*(x + 1) + 4781)*(x + 1) - 6335)*(x + 1) + 2835)*sqrt(x + 1)*sqrt(-x + 1) - 1/80*((2*((4*(5*x - 26)*(x + 1) + 321)*(x + 1) - 451)*(x + 1) + 745)*(x + 1) - 405)*sqrt(x + 1)*sqrt(-x + 1) + 1/40*((2*(3*(4*x - 17)*(x + 1) + 133)*(x + 1) - 295)*(x + 1) + 195)*sqrt(x + 1)*sqrt(-x + 1) + 1/8*((2*(3*x - 10)*(x + 1) + 43)*(x + 1) - 39)*sqrt(x + 1)*sqrt(-x + 1) - 1/2*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) - 1/2*sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 45/64*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1090,1,143,0,1.143184," ","integrate((1-x)^(7/2)*(1+x)^(5/2),x, algorithm=""giac"")","-\frac{1}{1680} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, {\left(6 \, x - 37\right)} {\left(x + 1\right)} + 661\right)} {\left(x + 1\right)} - 4551\right)} {\left(x + 1\right)} + 4781\right)} {\left(x + 1\right)} - 6335\right)} {\left(x + 1\right)} + 2835\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{40} \, {\left({\left(2 \, {\left(3 \, {\left(4 \, x - 17\right)} {\left(x + 1\right)} + 133\right)} {\left(x + 1\right)} - 295\right)} {\left(x + 1\right)} + 195\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{2} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{5}{8} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/1680*((2*((4*(5*(6*x - 37)*(x + 1) + 661)*(x + 1) - 4551)*(x + 1) + 4781)*(x + 1) - 6335)*(x + 1) + 2835)*sqrt(x + 1)*sqrt(-x + 1) + 1/40*((2*(3*(4*x - 17)*(x + 1) + 133)*(x + 1) - 295)*(x + 1) + 195)*sqrt(x + 1)*sqrt(-x + 1) - 1/2*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 5/8*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1091,1,185,0,1.307947," ","integrate((1-x)^(5/2)*(1+x)^(5/2),x, algorithm=""giac"")","\frac{1}{240} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, x - 26\right)} {\left(x + 1\right)} + 321\right)} {\left(x + 1\right)} - 451\right)} {\left(x + 1\right)} + 745\right)} {\left(x + 1\right)} - 405\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{120} \, {\left({\left(2 \, {\left(3 \, {\left(4 \, x - 17\right)} {\left(x + 1\right)} + 133\right)} {\left(x + 1\right)} - 295\right)} {\left(x + 1\right)} + 195\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{12} \, {\left({\left(2 \, {\left(3 \, x - 10\right)} {\left(x + 1\right)} + 43\right)} {\left(x + 1\right)} - 39\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{3} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{2} \, \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{5}{8} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/240*((2*((4*(5*x - 26)*(x + 1) + 321)*(x + 1) - 451)*(x + 1) + 745)*(x + 1) - 405)*sqrt(x + 1)*sqrt(-x + 1) + 1/120*((2*(3*(4*x - 17)*(x + 1) + 133)*(x + 1) - 295)*(x + 1) + 195)*sqrt(x + 1)*sqrt(-x + 1) - 1/12*((2*(3*x - 10)*(x + 1) + 43)*(x + 1) - 39)*sqrt(x + 1)*sqrt(-x + 1) - 1/3*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) + 1/2*sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 5/8*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1092,1,114,0,1.181060," ","integrate((1-x)^(3/2)*(1+x)^(5/2),x, algorithm=""giac"")","-\frac{1}{120} \, {\left({\left(2 \, {\left(3 \, {\left(4 \, x - 17\right)} {\left(x + 1\right)} + 133\right)} {\left(x + 1\right)} - 295\right)} {\left(x + 1\right)} + 195\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{1}{12} \, {\left({\left(2 \, {\left(3 \, x - 10\right)} {\left(x + 1\right)} + 43\right)} {\left(x + 1\right)} - 39\right)} \sqrt{x + 1} \sqrt{-x + 1} + \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{3}{4} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/120*((2*(3*(4*x - 17)*(x + 1) + 133)*(x + 1) - 295)*(x + 1) + 195)*sqrt(x + 1)*sqrt(-x + 1) - 1/12*((2*(3*x - 10)*(x + 1) + 43)*(x + 1) - 39)*sqrt(x + 1)*sqrt(-x + 1) + sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 3/4*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1093,1,101,0,1.045403," ","integrate((1-x)^(1/2)*(1+x)^(5/2),x, algorithm=""giac"")","\frac{1}{24} \, {\left({\left(2 \, {\left(3 \, x - 10\right)} {\left(x + 1\right)} + 43\right)} {\left(x + 1\right)} - 39\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{2} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{3}{2} \, \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{5}{4} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/24*((2*(3*x - 10)*(x + 1) + 43)*(x + 1) - 39)*sqrt(x + 1)*sqrt(-x + 1) + 1/2*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) + 3/2*sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 5/4*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1094,1,39,0,1.053262," ","integrate((1+x)^(5/2)/(1-x)^(1/2),x, algorithm=""giac"")","-\frac{1}{6} \, {\left({\left(2 \, x + 7\right)} {\left(x + 1\right)} + 15\right)} \sqrt{x + 1} \sqrt{-x + 1} + 5 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/6*((2*x + 7)*(x + 1) + 15)*sqrt(x + 1)*sqrt(-x + 1) + 5*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1095,1,42,0,1.006717," ","integrate((1+x)^(5/2)/(1-x)^(3/2),x, algorithm=""giac"")","\frac{{\left({\left(x + 6\right)} {\left(x + 1\right)} - 30\right)} \sqrt{x + 1} \sqrt{-x + 1}}{2 \, {\left(x - 1\right)}} - 15 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/2*((x + 6)*(x + 1) - 30)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1) - 15*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1096,1,44,0,0.977483," ","integrate((1+x)^(5/2)/(1-x)^(5/2),x, algorithm=""giac"")","-\frac{{\left({\left(3 \, x - 37\right)} {\left(x + 1\right)} + 60\right)} \sqrt{x + 1} \sqrt{-x + 1}}{3 \, {\left(x - 1\right)}^{2}} + 10 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/3*((3*x - 37)*(x + 1) + 60)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^2 + 10*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1097,1,44,0,0.982271," ","integrate((1+x)^(5/2)/(1-x)^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(23 \, x - 47\right)} {\left(x + 1\right)} + 60\right)} \sqrt{x + 1} \sqrt{-x + 1}}{15 \, {\left(x - 1\right)}^{3}} - 2 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-2/15*((23*x - 47)*(x + 1) + 60)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^3 - 2*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1098,1,19,0,1.108039," ","integrate((1+x)^(5/2)/(1-x)^(9/2),x, algorithm=""giac"")","\frac{{\left(x + 1\right)}^{\frac{7}{2}} \sqrt{-x + 1}}{7 \, {\left(x - 1\right)}^{4}}"," ",0,"1/7*(x + 1)^(7/2)*sqrt(-x + 1)/(x - 1)^4","A",0
1099,1,22,0,1.226763," ","integrate((1+x)^(5/2)/(1-x)^(11/2),x, algorithm=""giac"")","\frac{{\left(x + 1\right)}^{\frac{7}{2}} {\left(x - 8\right)} \sqrt{-x + 1}}{63 \, {\left(x - 1\right)}^{5}}"," ",0,"1/63*(x + 1)^(7/2)*(x - 8)*sqrt(-x + 1)/(x - 1)^5","A",0
1100,1,29,0,1.268297," ","integrate((1+x)^(5/2)/(1-x)^(13/2),x, algorithm=""giac"")","\frac{{\left(2 \, {\left(x + 1\right)} {\left(x - 10\right)} + 99\right)} {\left(x + 1\right)}^{\frac{7}{2}} \sqrt{-x + 1}}{693 \, {\left(x - 1\right)}^{6}}"," ",0,"1/693*(2*(x + 1)*(x - 10) + 99)*(x + 1)^(7/2)*sqrt(-x + 1)/(x - 1)^6","A",0
1101,1,35,0,0.989572," ","integrate((1+x)^(5/2)/(1-x)^(15/2),x, algorithm=""giac"")","\frac{{\left({\left(2 \, {\left(x + 1\right)} {\left(x - 12\right)} + 143\right)} {\left(x + 1\right)} - 429\right)} {\left(x + 1\right)}^{\frac{7}{2}} \sqrt{-x + 1}}{3003 \, {\left(x - 1\right)}^{7}}"," ",0,"1/3003*((2*(x + 1)*(x - 12) + 143)*(x + 1) - 429)*(x + 1)^(7/2)*sqrt(-x + 1)/(x - 1)^7","A",0
1102,1,42,0,0.877056," ","integrate((1+x)^(5/2)/(1-x)^(17/2),x, algorithm=""giac"")","\frac{{\left(4 \, {\left({\left(2 \, {\left(x + 1\right)} {\left(x - 14\right)} + 195\right)} {\left(x + 1\right)} - 715\right)} {\left(x + 1\right)} + 6435\right)} {\left(x + 1\right)}^{\frac{7}{2}} \sqrt{-x + 1}}{45045 \, {\left(x - 1\right)}^{8}}"," ",0,"1/45045*(4*((2*(x + 1)*(x - 14) + 195)*(x + 1) - 715)*(x + 1) + 6435)*(x + 1)^(7/2)*sqrt(-x + 1)/(x - 1)^8","A",0
1103,1,48,0,0.857887," ","integrate((1+x)^(5/2)/(1-x)^(19/2),x, algorithm=""giac"")","\frac{{\left({\left(4 \, {\left({\left(2 \, {\left(x + 1\right)} {\left(x - 16\right)} + 255\right)} {\left(x + 1\right)} - 1105\right)} {\left(x + 1\right)} + 12155\right)} {\left(x + 1\right)} - 21879\right)} {\left(x + 1\right)}^{\frac{7}{2}} \sqrt{-x + 1}}{153153 \, {\left(x - 1\right)}^{9}}"," ",0,"1/153153*((4*((2*(x + 1)*(x - 16) + 255)*(x + 1) - 1105)*(x + 1) + 12155)*(x + 1) - 21879)*(x + 1)^(7/2)*sqrt(-x + 1)/(x - 1)^9","A",0
1104,1,42,0,0.698783," ","integrate((a*x+1)^(3/2)/(-a*x+1)^(1/2),x, algorithm=""giac"")","-\frac{{\left(a x + 4\right)} \sqrt{a x + 1} \sqrt{-a x + 1} - 6 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{a x + 1}\right)}{2 \, a}"," ",0,"-1/2*((a*x + 4)*sqrt(a*x + 1)*sqrt(-a*x + 1) - 6*arcsin(1/2*sqrt(2)*sqrt(a*x + 1)))/a","A",0
1105,1,34,0,0.702248," ","integrate((a*x+1)*(-a^2*x^2+1)^(1/2)/(-a*x+1),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{-a^{2} x^{2} + 1} {\left(x + \frac{4}{a}\right)} + \frac{3 \, \arcsin\left(a x\right) \mathrm{sgn}\left(a\right)}{2 \, {\left| a \right|}}"," ",0,"-1/2*sqrt(-a^2*x^2 + 1)*(x + 4/a) + 3/2*arcsin(a*x)*sgn(a)/abs(a)","A",0
1106,1,101,0,0.758250," ","integrate((1-x)^(7/2)/(1+x)^(1/2),x, algorithm=""giac"")","-\frac{1}{24} \, {\left({\left(2 \, {\left(3 \, x - 10\right)} {\left(x + 1\right)} + 43\right)} {\left(x + 1\right)} - 39\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{1}{2} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} - \frac{3}{2} \, \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + \frac{35}{4} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/24*((2*(3*x - 10)*(x + 1) + 43)*(x + 1) - 39)*sqrt(x + 1)*sqrt(-x + 1) + 1/2*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) - 3/2*sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 35/4*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1107,1,69,0,0.703019," ","integrate((1-x)^(5/2)/(1+x)^(1/2),x, algorithm=""giac"")","\frac{1}{6} \, {\left({\left(2 \, x - 5\right)} {\left(x + 1\right)} + 9\right)} \sqrt{x + 1} \sqrt{-x + 1} - \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + 5 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/6*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) - sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 5*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1108,1,44,0,0.697031," ","integrate((1-x)^(3/2)/(1+x)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1} + \sqrt{x + 1} \sqrt{-x + 1} + 3 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/2*sqrt(x + 1)*(x - 2)*sqrt(-x + 1) + sqrt(x + 1)*sqrt(-x + 1) + 3*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1109,1,27,0,0.650413," ","integrate((1-x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\sqrt{x + 1} \sqrt{-x + 1} + 2 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"sqrt(x + 1)*sqrt(-x + 1) + 2*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1110,1,13,0,0.653947," ","integrate(1/(1-x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","2 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"2*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1111,1,19,0,0.676921," ","integrate(1/(1-x)^(3/2)/(1+x)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{x + 1} \sqrt{-x + 1}}{x - 1}"," ",0,"-sqrt(x + 1)*sqrt(-x + 1)/(x - 1)","A",0
1112,1,22,0,0.642552," ","integrate(1/(1-x)^(5/2)/(1+x)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1}}{3 \, {\left(x - 1\right)}^{2}}"," ",0,"-1/3*sqrt(x + 1)*(x - 2)*sqrt(-x + 1)/(x - 1)^2","A",0
1113,1,29,0,0.689516," ","integrate(1/(1-x)^(7/2)/(1+x)^(1/2),x, algorithm=""giac"")","-\frac{{\left(2 \, {\left(x + 1\right)} {\left(x - 4\right)} + 15\right)} \sqrt{x + 1} \sqrt{-x + 1}}{15 \, {\left(x - 1\right)}^{3}}"," ",0,"-1/15*(2*(x + 1)*(x - 4) + 15)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^3","A",0
1114,1,35,0,0.664084," ","integrate(1/(1-x)^(9/2)/(1+x)^(1/2),x, algorithm=""giac"")","-\frac{{\left({\left(2 \, {\left(x + 1\right)} {\left(x - 6\right)} + 35\right)} {\left(x + 1\right)} - 35\right)} \sqrt{x + 1} \sqrt{-x + 1}}{35 \, {\left(x - 1\right)}^{4}}"," ",0,"-1/35*((2*(x + 1)*(x - 6) + 35)*(x + 1) - 35)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^4","A",0
1115,1,42,0,0.671798," ","integrate(1/(1-x)^(11/2)/(1+x)^(1/2),x, algorithm=""giac"")","-\frac{{\left(4 \, {\left({\left(2 \, {\left(x + 1\right)} {\left(x - 8\right)} + 63\right)} {\left(x + 1\right)} - 105\right)} {\left(x + 1\right)} + 315\right)} \sqrt{x + 1} \sqrt{-x + 1}}{315 \, {\left(x - 1\right)}^{5}}"," ",0,"-1/315*(4*((2*(x + 1)*(x - 8) + 63)*(x + 1) - 105)*(x + 1) + 315)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^5","A",0
1116,1,81,0,0.747966," ","integrate((1-x)^(7/2)/(1+x)^(3/2),x, algorithm=""giac"")","-\frac{1}{6} \, {\left({\left(2 \, x - 17\right)} {\left(x + 1\right)} + 87\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{8 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{\sqrt{x + 1}} - \frac{8 \, \sqrt{x + 1}}{\sqrt{2} - \sqrt{-x + 1}} - 35 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/6*((2*x - 17)*(x + 1) + 87)*sqrt(x + 1)*sqrt(-x + 1) + 8*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 8*sqrt(x + 1)/(sqrt(2) - sqrt(-x + 1)) - 35*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1117,1,73,0,0.794852," ","integrate((1-x)^(5/2)/(1+x)^(3/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{x + 1} {\left(x - 8\right)} \sqrt{-x + 1} + \frac{4 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{\sqrt{x + 1}} - \frac{4 \, \sqrt{x + 1}}{\sqrt{2} - \sqrt{-x + 1}} - 15 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/2*sqrt(x + 1)*(x - 8)*sqrt(-x + 1) + 4*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 4*sqrt(x + 1)/(sqrt(2) - sqrt(-x + 1)) - 15*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1118,1,70,0,0.726244," ","integrate((1-x)^(3/2)/(1+x)^(3/2),x, algorithm=""giac"")","-\sqrt{x + 1} \sqrt{-x + 1} + \frac{2 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{\sqrt{x + 1}} - \frac{2 \, \sqrt{x + 1}}{\sqrt{2} - \sqrt{-x + 1}} - 6 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-sqrt(x + 1)*sqrt(-x + 1) + 2*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 2*sqrt(x + 1)/(sqrt(2) - sqrt(-x + 1)) - 6*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1119,1,55,0,0.690828," ","integrate((1-x)^(1/2)/(1+x)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} - \sqrt{-x + 1}}{\sqrt{x + 1}} - \frac{\sqrt{x + 1}}{\sqrt{2} - \sqrt{-x + 1}} - 2 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - sqrt(x + 1)/(sqrt(2) - sqrt(-x + 1)) - 2*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1120,1,43,0,0.651034," ","integrate(1/(1-x)^(1/2)/(1+x)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} - \sqrt{-x + 1}}{2 \, \sqrt{x + 1}} - \frac{\sqrt{x + 1}}{2 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}"," ",0,"1/2*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 1/2*sqrt(x + 1)/(sqrt(2) - sqrt(-x + 1))","B",0
1121,1,62,0,0.718520," ","integrate(1/(1-x)^(3/2)/(1+x)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} - \sqrt{-x + 1}}{4 \, \sqrt{x + 1}} - \frac{\sqrt{x + 1} \sqrt{-x + 1}}{2 \, {\left(x - 1\right)}} - \frac{\sqrt{x + 1}}{4 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}"," ",0,"1/4*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 1/2*sqrt(x + 1)*sqrt(-x + 1)/(x - 1) - 1/4*sqrt(x + 1)/(sqrt(2) - sqrt(-x + 1))","B",0
1122,1,67,0,0.701432," ","integrate(1/(1-x)^(5/2)/(1+x)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} - \sqrt{-x + 1}}{8 \, \sqrt{x + 1}} - \frac{{\left(5 \, x - 7\right)} \sqrt{x + 1} \sqrt{-x + 1}}{12 \, {\left(x - 1\right)}^{2}} - \frac{\sqrt{x + 1}}{8 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}"," ",0,"1/8*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 1/12*(5*x - 7)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^2 - 1/8*sqrt(x + 1)/(sqrt(2) - sqrt(-x + 1))","B",0
1123,1,73,0,0.664052," ","integrate(1/(1-x)^(7/2)/(1+x)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} - \sqrt{-x + 1}}{16 \, \sqrt{x + 1}} - \frac{\sqrt{x + 1}}{16 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}} - \frac{{\left({\left(11 \, x - 39\right)} {\left(x + 1\right)} + 60\right)} \sqrt{x + 1} \sqrt{-x + 1}}{40 \, {\left(x - 1\right)}^{3}}"," ",0,"1/16*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 1/16*sqrt(x + 1)/(sqrt(2) - sqrt(-x + 1)) - 1/40*((11*x - 39)*(x + 1) + 60)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^3","A",0
1124,1,79,0,0.695240," ","integrate(1/(1-x)^(9/2)/(1+x)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} - \sqrt{-x + 1}}{32 \, \sqrt{x + 1}} - \frac{\sqrt{x + 1}}{32 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}} - \frac{{\left({\left({\left(93 \, x - 523\right)} {\left(x + 1\right)} + 1400\right)} {\left(x + 1\right)} - 1120\right)} \sqrt{x + 1} \sqrt{-x + 1}}{560 \, {\left(x - 1\right)}^{4}}"," ",0,"1/32*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 1/32*sqrt(x + 1)/(sqrt(2) - sqrt(-x + 1)) - 1/560*(((93*x - 523)*(x + 1) + 1400)*(x + 1) - 1120)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^4","A",0
1125,1,85,0,0.675937," ","integrate(1/(1-x)^(11/2)/(1+x)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} - \sqrt{-x + 1}}{64 \, \sqrt{x + 1}} - \frac{\sqrt{x + 1}}{64 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}} - \frac{{\left({\left({\left({\left(193 \, x - 1481\right)} {\left(x + 1\right)} + 5544\right)} {\left(x + 1\right)} - 8400\right)} {\left(x + 1\right)} + 5040\right)} \sqrt{x + 1} \sqrt{-x + 1}}{2016 \, {\left(x - 1\right)}^{5}}"," ",0,"1/64*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 1/64*sqrt(x + 1)/(sqrt(2) - sqrt(-x + 1)) - 1/2016*((((193*x - 1481)*(x + 1) + 5544)*(x + 1) - 8400)*(x + 1) + 5040)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^5","A",0
1126,1,127,0,0.888803," ","integrate((1-x)^(9/2)/(1+x)^(5/2),x, algorithm=""giac"")","\frac{1}{6} \, {\left({\left(2 \, x - 23\right)} {\left(x + 1\right)} + 165\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{2 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}{3 \, {\left(x + 1\right)}^{\frac{3}{2}}} - \frac{34 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{\sqrt{x + 1}} + \frac{2 \, {\left(x + 1\right)}^{\frac{3}{2}} {\left(\frac{51 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{2}}{x + 1} - 1\right)}}{3 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}} + 105 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/6*((2*x - 23)*(x + 1) + 165)*sqrt(x + 1)*sqrt(-x + 1) + 2/3*(sqrt(2) - sqrt(-x + 1))^3/(x + 1)^(3/2) - 34*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) + 2/3*(x + 1)^(3/2)*(51*(sqrt(2) - sqrt(-x + 1))^2/(x + 1) - 1)/(sqrt(2) - sqrt(-x + 1))^3 + 105*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1127,1,119,0,0.799713," ","integrate((1-x)^(7/2)/(1+x)^(5/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{x + 1} {\left(x - 12\right)} \sqrt{-x + 1} + \frac{{\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}{3 \, {\left(x + 1\right)}^{\frac{3}{2}}} - \frac{13 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{\sqrt{x + 1}} + \frac{{\left(x + 1\right)}^{\frac{3}{2}} {\left(\frac{39 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{2}}{x + 1} - 1\right)}}{3 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}} + 35 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/2*sqrt(x + 1)*(x - 12)*sqrt(-x + 1) + 1/3*(sqrt(2) - sqrt(-x + 1))^3/(x + 1)^(3/2) - 13*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) + 1/3*(x + 1)^(3/2)*(39*(sqrt(2) - sqrt(-x + 1))^2/(x + 1) - 1)/(sqrt(2) - sqrt(-x + 1))^3 + 35*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
1128,1,115,0,0.752306," ","integrate((1-x)^(5/2)/(1+x)^(5/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}{6 \, {\left(x + 1\right)}^{\frac{3}{2}}} + \sqrt{x + 1} \sqrt{-x + 1} - \frac{9 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{2 \, \sqrt{x + 1}} + \frac{{\left(x + 1\right)}^{\frac{3}{2}} {\left(\frac{27 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{2}}{x + 1} - 1\right)}}{6 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}} + 10 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/6*(sqrt(2) - sqrt(-x + 1))^3/(x + 1)^(3/2) + sqrt(x + 1)*sqrt(-x + 1) - 9/2*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) + 1/6*(x + 1)^(3/2)*(27*(sqrt(2) - sqrt(-x + 1))^2/(x + 1) - 1)/(sqrt(2) - sqrt(-x + 1))^3 + 10*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1129,1,102,0,0.703402," ","integrate((1-x)^(3/2)/(1+x)^(5/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}{12 \, {\left(x + 1\right)}^{\frac{3}{2}}} - \frac{5 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{4 \, \sqrt{x + 1}} + \frac{{\left(x + 1\right)}^{\frac{3}{2}} {\left(\frac{15 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{2}}{x + 1} - 1\right)}}{12 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}} + 2 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"1/12*(sqrt(2) - sqrt(-x + 1))^3/(x + 1)^(3/2) - 5/4*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) + 1/12*(x + 1)^(3/2)*(15*(sqrt(2) - sqrt(-x + 1))^2/(x + 1) - 1)/(sqrt(2) - sqrt(-x + 1))^3 + 2*arcsin(1/2*sqrt(2)*sqrt(x + 1))","B",0
1130,1,89,0,0.708098," ","integrate((1-x)^(1/2)/(1+x)^(5/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}{24 \, {\left(x + 1\right)}^{\frac{3}{2}}} - \frac{\sqrt{2} - \sqrt{-x + 1}}{8 \, \sqrt{x + 1}} + \frac{{\left(x + 1\right)}^{\frac{3}{2}} {\left(\frac{3 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{2}}{x + 1} - 1\right)}}{24 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}"," ",0,"1/24*(sqrt(2) - sqrt(-x + 1))^3/(x + 1)^(3/2) - 1/8*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) + 1/24*(x + 1)^(3/2)*(3*(sqrt(2) - sqrt(-x + 1))^2/(x + 1) - 1)/(sqrt(2) - sqrt(-x + 1))^3","B",0
1131,1,89,0,0.672112," ","integrate(1/(1-x)^(1/2)/(1+x)^(5/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}{48 \, {\left(x + 1\right)}^{\frac{3}{2}}} + \frac{3 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{16 \, \sqrt{x + 1}} - \frac{{\left(x + 1\right)}^{\frac{3}{2}} {\left(\frac{9 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{2}}{x + 1} + 1\right)}}{48 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}"," ",0,"1/48*(sqrt(2) - sqrt(-x + 1))^3/(x + 1)^(3/2) + 3/16*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 1/48*(x + 1)^(3/2)*(9*(sqrt(2) - sqrt(-x + 1))^2/(x + 1) + 1)/(sqrt(2) - sqrt(-x + 1))^3","B",0
1132,1,108,0,0.677541," ","integrate(1/(1-x)^(3/2)/(1+x)^(5/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}{96 \, {\left(x + 1\right)}^{\frac{3}{2}}} + \frac{7 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{32 \, \sqrt{x + 1}} - \frac{\sqrt{x + 1} \sqrt{-x + 1}}{4 \, {\left(x - 1\right)}} - \frac{{\left(x + 1\right)}^{\frac{3}{2}} {\left(\frac{21 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{2}}{x + 1} + 1\right)}}{96 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}"," ",0,"1/96*(sqrt(2) - sqrt(-x + 1))^3/(x + 1)^(3/2) + 7/32*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 1/4*sqrt(x + 1)*sqrt(-x + 1)/(x - 1) - 1/96*(x + 1)^(3/2)*(21*(sqrt(2) - sqrt(-x + 1))^2/(x + 1) + 1)/(sqrt(2) - sqrt(-x + 1))^3","B",0
1133,1,113,0,0.683388," ","integrate(1/(1-x)^(5/2)/(1+x)^(5/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}{192 \, {\left(x + 1\right)}^{\frac{3}{2}}} + \frac{11 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{64 \, \sqrt{x + 1}} - \frac{{\left(4 \, x - 5\right)} \sqrt{x + 1} \sqrt{-x + 1}}{12 \, {\left(x - 1\right)}^{2}} - \frac{{\left(x + 1\right)}^{\frac{3}{2}} {\left(\frac{33 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{2}}{x + 1} + 1\right)}}{192 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}"," ",0,"1/192*(sqrt(2) - sqrt(-x + 1))^3/(x + 1)^(3/2) + 11/64*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 1/12*(4*x - 5)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^2 - 1/192*(x + 1)^(3/2)*(33*(sqrt(2) - sqrt(-x + 1))^2/(x + 1) + 1)/(sqrt(2) - sqrt(-x + 1))^3","B",0
1134,1,119,0,0.710150," ","integrate(1/(1-x)^(7/2)/(1+x)^(5/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}{384 \, {\left(x + 1\right)}^{\frac{3}{2}}} + \frac{15 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{128 \, \sqrt{x + 1}} - \frac{{\left(x + 1\right)}^{\frac{3}{2}} {\left(\frac{45 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{2}}{x + 1} + 1\right)}}{384 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}} - \frac{{\left({\left(73 \, x - 247\right)} {\left(x + 1\right)} + 360\right)} \sqrt{x + 1} \sqrt{-x + 1}}{240 \, {\left(x - 1\right)}^{3}}"," ",0,"1/384*(sqrt(2) - sqrt(-x + 1))^3/(x + 1)^(3/2) + 15/128*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 1/384*(x + 1)^(3/2)*(45*(sqrt(2) - sqrt(-x + 1))^2/(x + 1) + 1)/(sqrt(2) - sqrt(-x + 1))^3 - 1/240*((73*x - 247)*(x + 1) + 360)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^3","B",0
1135,1,125,0,0.692858," ","integrate(1/(1-x)^(9/2)/(1+x)^(5/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}{768 \, {\left(x + 1\right)}^{\frac{3}{2}}} + \frac{19 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{256 \, \sqrt{x + 1}} - \frac{{\left(x + 1\right)}^{\frac{3}{2}} {\left(\frac{57 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{2}}{x + 1} + 1\right)}}{768 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}} - \frac{{\left({\left({\left(79 \, x - 432\right)} {\left(x + 1\right)} + 1120\right)} {\left(x + 1\right)} - 840\right)} \sqrt{x + 1} \sqrt{-x + 1}}{336 \, {\left(x - 1\right)}^{4}}"," ",0,"1/768*(sqrt(2) - sqrt(-x + 1))^3/(x + 1)^(3/2) + 19/256*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 1/768*(x + 1)^(3/2)*(57*(sqrt(2) - sqrt(-x + 1))^2/(x + 1) + 1)/(sqrt(2) - sqrt(-x + 1))^3 - 1/336*(((79*x - 432)*(x + 1) + 1120)*(x + 1) - 840)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^4","B",0
1136,1,131,0,0.736702," ","integrate(1/(1-x)^(11/2)/(1+x)^(5/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}}{1536 \, {\left(x + 1\right)}^{\frac{3}{2}}} + \frac{23 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}}{512 \, \sqrt{x + 1}} - \frac{{\left(x + 1\right)}^{\frac{3}{2}} {\left(\frac{69 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{2}}{x + 1} + 1\right)}}{1536 \, {\left(\sqrt{2} - \sqrt{-x + 1}\right)}^{3}} - \frac{{\left({\left({\left({\left(667 \, x - 5021\right)} {\left(x + 1\right)} + 18396\right)} {\left(x + 1\right)} - 26880\right)} {\left(x + 1\right)} + 15120\right)} \sqrt{x + 1} \sqrt{-x + 1}}{4032 \, {\left(x - 1\right)}^{5}}"," ",0,"1/1536*(sqrt(2) - sqrt(-x + 1))^3/(x + 1)^(3/2) + 23/512*(sqrt(2) - sqrt(-x + 1))/sqrt(x + 1) - 1/1536*(x + 1)^(3/2)*(69*(sqrt(2) - sqrt(-x + 1))^2/(x + 1) + 1)/(sqrt(2) - sqrt(-x + 1))^3 - 1/4032*((((667*x - 5021)*(x + 1) + 18396)*(x + 1) - 26880)*(x + 1) + 15120)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^5","A",0
1137,1,679,0,1.574105," ","integrate((a*x+a)^(5/2)*(-c*x+c)^(5/2),x, algorithm=""giac"")","\frac{1}{240} \, {\left(\frac{150 \, a^{2} c \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c}} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} {\left({\left(2 \, {\left({\left(a x + a\right)} {\left(4 \, {\left(a x + a\right)} {\left(\frac{5 \, {\left(a x + a\right)}}{a^{5}} - \frac{31}{a^{4}}\right)} + \frac{321}{a^{3}}\right)} - \frac{451}{a^{2}}\right)} {\left(a x + a\right)} + \frac{745}{a}\right)} {\left(a x + a\right)} - 405\right)} \sqrt{a x + a}\right)} c^{2} {\left| a \right|} - \frac{1}{120} \, {\left(\frac{90 \, a^{2} c \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c}} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} {\left({\left(2 \, {\left(a x + a\right)} {\left(3 \, {\left(a x + a\right)} {\left(\frac{4 \, {\left(a x + a\right)}}{a^{4}} - \frac{21}{a^{3}}\right)} + \frac{133}{a^{2}}\right)} - \frac{295}{a}\right)} {\left(a x + a\right)} + 195\right)} \sqrt{a x + a}\right)} c^{2} {\left| a \right|} - \frac{1}{12} \, {\left(\frac{18 \, a^{2} c \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c}} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} {\left({\left(a x + a\right)} {\left(2 \, {\left(a x + a\right)} {\left(\frac{3 \, {\left(a x + a\right)}}{a^{3}} - \frac{13}{a^{2}}\right)} + \frac{43}{a}\right)} - 39\right)} \sqrt{a x + a}\right)} c^{2} {\left| a \right|} + \frac{1}{3} \, {\left(\frac{6 \, a^{2} c \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c}} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \sqrt{a x + a} {\left({\left(a x + a\right)} {\left(\frac{2 \, {\left(a x + a\right)}}{a^{2}} - \frac{7}{a}\right)} + 9\right)}\right)} c^{2} {\left| a \right|} - {\left(\frac{2 \, a^{2} c \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c}} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \sqrt{a x + a}\right)} c^{2} {\left| a \right|} + \frac{{\left(\frac{2 \, a^{3} c \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c}} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \sqrt{a x + a} {\left(a x - 2 \, a\right)}\right)} c^{2} {\left| a \right|}}{2 \, a}"," ",0,"1/240*(150*a^2*c*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/sqrt(-a*c) + sqrt(-(a*x + a)*a*c + 2*a^2*c)*((2*((a*x + a)*(4*(a*x + a)*(5*(a*x + a)/a^5 - 31/a^4) + 321/a^3) - 451/a^2)*(a*x + a) + 745/a)*(a*x + a) - 405)*sqrt(a*x + a))*c^2*abs(a) - 1/120*(90*a^2*c*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/sqrt(-a*c) - sqrt(-(a*x + a)*a*c + 2*a^2*c)*((2*(a*x + a)*(3*(a*x + a)*(4*(a*x + a)/a^4 - 21/a^3) + 133/a^2) - 295/a)*(a*x + a) + 195)*sqrt(a*x + a))*c^2*abs(a) - 1/12*(18*a^2*c*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/sqrt(-a*c) + sqrt(-(a*x + a)*a*c + 2*a^2*c)*((a*x + a)*(2*(a*x + a)*(3*(a*x + a)/a^3 - 13/a^2) + 43/a) - 39)*sqrt(a*x + a))*c^2*abs(a) + 1/3*(6*a^2*c*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/sqrt(-a*c) - sqrt(-(a*x + a)*a*c + 2*a^2*c)*sqrt(a*x + a)*((a*x + a)*(2*(a*x + a)/a^2 - 7/a) + 9))*c^2*abs(a) - (2*a^2*c*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/sqrt(-a*c) - sqrt(-(a*x + a)*a*c + 2*a^2*c)*sqrt(a*x + a))*c^2*abs(a) + 1/2*(2*a^3*c*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/sqrt(-a*c) + sqrt(-(a*x + a)*a*c + 2*a^2*c)*sqrt(a*x + a)*(a*x - 2*a))*c^2*abs(a)/a","B",0
1138,1,403,0,1.252906," ","integrate((a*x+a)^(3/2)*(-c*x+c)^(3/2),x, algorithm=""giac"")","-\frac{{\left(\frac{18 \, a^{2} c \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c}} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} {\left({\left(a x + a\right)} {\left(2 \, {\left(a x + a\right)} {\left(\frac{3 \, {\left(a x + a\right)}}{a^{3}} - \frac{13}{a^{2}}\right)} + \frac{43}{a}\right)} - 39\right)} \sqrt{a x + a}\right)} c {\left| a \right|}}{24 \, a} + \frac{{\left(\frac{6 \, a^{2} c \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c}} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \sqrt{a x + a} {\left({\left(a x + a\right)} {\left(\frac{2 \, {\left(a x + a\right)}}{a^{2}} - \frac{7}{a}\right)} + 9\right)}\right)} c {\left| a \right|}}{6 \, a} - \frac{{\left(\frac{2 \, a^{2} c \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c}} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \sqrt{a x + a}\right)} c {\left| a \right|}}{a} + \frac{{\left(\frac{2 \, a^{3} c \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c}} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \sqrt{a x + a} {\left(a x - 2 \, a\right)}\right)} c {\left| a \right|}}{2 \, a^{2}}"," ",0,"-1/24*(18*a^2*c*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/sqrt(-a*c) + sqrt(-(a*x + a)*a*c + 2*a^2*c)*((a*x + a)*(2*(a*x + a)*(3*(a*x + a)/a^3 - 13/a^2) + 43/a) - 39)*sqrt(a*x + a))*c*abs(a)/a + 1/6*(6*a^2*c*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/sqrt(-a*c) - sqrt(-(a*x + a)*a*c + 2*a^2*c)*sqrt(a*x + a)*((a*x + a)*(2*(a*x + a)/a^2 - 7/a) + 9))*c*abs(a)/a - (2*a^2*c*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/sqrt(-a*c) - sqrt(-(a*x + a)*a*c + 2*a^2*c)*sqrt(a*x + a))*c*abs(a)/a + 1/2*(2*a^3*c*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/sqrt(-a*c) + sqrt(-(a*x + a)*a*c + 2*a^2*c)*sqrt(a*x + a)*(a*x - 2*a))*c*abs(a)/a^2","B",0
1139,1,173,0,0.901557," ","integrate((a*x+a)^(1/2)*(-c*x+c)^(1/2),x, algorithm=""giac"")","-\frac{{\left(\frac{2 \, a^{2} c \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c}} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \sqrt{a x + a}\right)} {\left| a \right|}}{a^{2}} + \frac{{\left(\frac{2 \, a^{3} c \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c}} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \sqrt{a x + a} {\left(a x - 2 \, a\right)}\right)} {\left| a \right|}}{2 \, a^{3}}"," ",0,"-(2*a^2*c*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/sqrt(-a*c) - sqrt(-(a*x + a)*a*c + 2*a^2*c)*sqrt(a*x + a))*abs(a)/a^2 + 1/2*(2*a^3*c*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/sqrt(-a*c) + sqrt(-(a*x + a)*a*c + 2*a^2*c)*sqrt(a*x + a)*(a*x - 2*a))*abs(a)/a^3","B",0
1140,1,49,0,0.763728," ","integrate(1/(a*x+a)^(1/2)/(-c*x+c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, a \log\left({\left| -\sqrt{-a c} \sqrt{a x + a} + \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \right|}\right)}{\sqrt{-a c} {\left| a \right|}}"," ",0,"-2*a*log(abs(-sqrt(-a*c)*sqrt(a*x + a) + sqrt(-(a*x + a)*a*c + 2*a^2*c)))/(sqrt(-a*c)*abs(a))","A",0
1141,1,116,0,0.700974," ","integrate(1/(a*x+a)^(3/2)/(-c*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{-a c} a}{{\left(2 \, a^{2} c - {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{2}\right)} c {\left| a \right|}} - \frac{\sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \sqrt{a x + a}}{2 \, {\left({\left(a x + a\right)} a c - 2 \, a^{2} c\right)} c {\left| a \right|}}"," ",0,"-2*sqrt(-a*c)*a/((2*a^2*c - (sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^2)*c*abs(a)) - 1/2*sqrt(-(a*x + a)*a*c + 2*a^2*c)*sqrt(a*x + a)/(((a*x + a)*a*c - 2*a^2*c)*c*abs(a))","B",0
1142,1,237,0,0.806987," ","integrate(1/(a*x+a)^(5/2)/(-c*x+c)^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \sqrt{a x + a} {\left(\frac{4 \, {\left(a x + a\right)} {\left| a \right|}}{a^{2} c} - \frac{9 \, {\left| a \right|}}{a c}\right)}}{12 \, {\left({\left(a x + a\right)} a c - 2 \, a^{2} c\right)}^{2}} - \frac{16 \, \sqrt{-a c} a^{4} c^{2} - 18 \, \sqrt{-a c} {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{2} a^{2} c + 3 \, \sqrt{-a c} {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{4}}{3 \, {\left(2 \, a^{2} c - {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{2}\right)}^{3} c^{2} {\left| a \right|}}"," ",0,"-1/12*sqrt(-(a*x + a)*a*c + 2*a^2*c)*sqrt(a*x + a)*(4*(a*x + a)*abs(a)/(a^2*c) - 9*abs(a)/(a*c))/((a*x + a)*a*c - 2*a^2*c)^2 - 1/3*(16*sqrt(-a*c)*a^4*c^2 - 18*sqrt(-a*c)*(sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^2*a^2*c + 3*sqrt(-a*c)*(sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^4)/((2*a^2*c - (sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^2)^3*c^2*abs(a))","B",0
1143,1,333,0,1.064605," ","integrate(1/(a*x+a)^(7/2)/(-c*x+c)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} \sqrt{a x + a} {\left({\left(a x + a\right)} {\left(\frac{64 \, {\left(a x + a\right)}}{c {\left| a \right|}} - \frac{275 \, a}{c {\left| a \right|}}\right)} + \frac{300 \, a^{2}}{c {\left| a \right|}}\right)}}{240 \, {\left({\left(a x + a\right)} a c - 2 \, a^{2} c\right)}^{3}} + \frac{1024 \, a^{8} c^{4} - 2200 \, {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{2} a^{6} c^{3} + 1660 \, {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{4} a^{4} c^{2} - 450 \, {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{6} a^{2} c + 45 \, {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{8}}{60 \, {\left(2 \, a^{2} c - {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{2}\right)}^{5} \sqrt{-a c} c^{2} {\left| a \right|}}"," ",0,"-1/240*sqrt(-(a*x + a)*a*c + 2*a^2*c)*sqrt(a*x + a)*((a*x + a)*(64*(a*x + a)/(c*abs(a)) - 275*a/(c*abs(a))) + 300*a^2/(c*abs(a)))/((a*x + a)*a*c - 2*a^2*c)^3 + 1/60*(1024*a^8*c^4 - 2200*(sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^2*a^6*c^3 + 1660*(sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^4*a^4*c^2 - 450*(sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^6*a^2*c + 45*(sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^8)/((2*a^2*c - (sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^2)^5*sqrt(-a*c)*c^2*abs(a))","B",0
1144,1,437,0,1.562931," ","integrate(1/(a*x+a)^(9/2)/(-c*x+c)^(9/2),x, algorithm=""giac"")","-\frac{\sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c} {\left({\left(a x + a\right)} {\left({\left(a x + a\right)} {\left(\frac{256 \, {\left(a x + a\right)} {\left| a \right|}}{a^{2} c} - \frac{1617 \, {\left| a \right|}}{a c}\right)} + \frac{3430 \, {\left| a \right|}}{c}\right)} - \frac{2450 \, a {\left| a \right|}}{c}\right)} \sqrt{a x + a}}{1120 \, {\left({\left(a x + a\right)} a c - 2 \, a^{2} c\right)}^{4}} + \frac{16384 \, a^{12} c^{6} - 51744 \, {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{2} a^{10} c^{5} + 66416 \, {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{4} a^{8} c^{4} - 43120 \, {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{6} a^{6} c^{3} + 14280 \, {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{8} a^{4} c^{2} - 2450 \, {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{10} a^{2} c + 175 \, {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{12}}{280 \, {\left(2 \, a^{2} c - {\left(\sqrt{-a c} \sqrt{a x + a} - \sqrt{-{\left(a x + a\right)} a c + 2 \, a^{2} c}\right)}^{2}\right)}^{7} \sqrt{-a c} a c^{3} {\left| a \right|}}"," ",0,"-1/1120*sqrt(-(a*x + a)*a*c + 2*a^2*c)*((a*x + a)*((a*x + a)*(256*(a*x + a)*abs(a)/(a^2*c) - 1617*abs(a)/(a*c)) + 3430*abs(a)/c) - 2450*a*abs(a)/c)*sqrt(a*x + a)/((a*x + a)*a*c - 2*a^2*c)^4 + 1/280*(16384*a^12*c^6 - 51744*(sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^2*a^10*c^5 + 66416*(sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^4*a^8*c^4 - 43120*(sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^6*a^6*c^3 + 14280*(sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^8*a^4*c^2 - 2450*(sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^10*a^2*c + 175*(sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^12)/((2*a^2*c - (sqrt(-a*c)*sqrt(a*x + a) - sqrt(-(a*x + a)*a*c + 2*a^2*c))^2)^7*sqrt(-a*c)*a*c^3*abs(a))","B",0
1145,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1146,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1147,-1,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1148,-1,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1149,1,115,0,1.860576," ","integrate(1/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{-c} c}{{\left(2 \, a c^{2} - {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{2}\right)} a b {\left| c \right|}} - \frac{\sqrt{-b c x + a c}}{2 \, \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c} a^{2} b {\left| c \right|}}"," ",0,"2*sqrt(-c)*c/((2*a*c^2 - (sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^2)*a*b*abs(c)) - 1/2*sqrt(-b*c*x + a*c)/(sqrt(2*a*c^2 + (b*c*x - a*c)*c)*a^2*b*abs(c))","B",0
1150,1,251,0,2.380312," ","integrate(1/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{-b c x + a c} {\left(\frac{9 \, {\left| c \right|}}{a^{3} b c} + \frac{4 \, {\left(b c x - a c\right)} {\left| c \right|}}{a^{4} b c^{2}}\right)}}{12 \, {\left(2 \, a c^{2} + {\left(b c x - a c\right)} c\right)}^{\frac{3}{2}}} + \frac{16 \, a^{2} \sqrt{-c} c^{4} - 18 \, a {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{2} \sqrt{-c} c^{2} + 3 \, {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{4} \sqrt{-c}}{3 \, {\left(2 \, a c^{2} - {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{2}\right)}^{3} a^{3} b {\left| c \right|}}"," ",0,"-1/12*sqrt(-b*c*x + a*c)*(9*abs(c)/(a^3*b*c) + 4*(b*c*x - a*c)*abs(c)/(a^4*b*c^2))/(2*a*c^2 + (b*c*x - a*c)*c)^(3/2) + 1/3*(16*a^2*sqrt(-c)*c^4 - 18*a*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^2*sqrt(-c)*c^2 + 3*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^4*sqrt(-c))/((2*a*c^2 - (sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^2)^3*a^3*b*abs(c))","B",0
1151,1,366,0,2.572761," ","integrate(1/(b*x+a)^(7/2)/(-b*c*x+a*c)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{-b c x + a c} {\left({\left(b c x - a c\right)} {\left(\frac{275 \, c}{a^{5} b {\left| c \right|}} + \frac{64 \, {\left(b c x - a c\right)}}{a^{6} b {\left| c \right|}}\right)} + \frac{300 \, c^{2}}{a^{4} b {\left| c \right|}}\right)}}{240 \, {\left(2 \, a c^{2} + {\left(b c x - a c\right)} c\right)}^{\frac{5}{2}}} - \frac{1024 \, a^{4} c^{8} - 2200 \, a^{3} {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{2} c^{6} + 1660 \, a^{2} {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{4} c^{4} - 450 \, a {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{6} c^{2} + 45 \, {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{8}}{60 \, {\left(2 \, a c^{2} - {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{2}\right)}^{5} a^{5} b \sqrt{-c} {\left| c \right|}}"," ",0,"-1/240*sqrt(-b*c*x + a*c)*((b*c*x - a*c)*(275*c/(a^5*b*abs(c)) + 64*(b*c*x - a*c)/(a^6*b*abs(c))) + 300*c^2/(a^4*b*abs(c)))/(2*a*c^2 + (b*c*x - a*c)*c)^(5/2) - 1/60*(1024*a^4*c^8 - 2200*a^3*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^2*c^6 + 1660*a^2*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^4*c^4 - 450*a*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^6*c^2 + 45*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^8)/((2*a*c^2 - (sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^2)^5*a^5*b*sqrt(-c)*abs(c))","B",0
1152,1,487,0,3.295564," ","integrate(1/(b*x+a)^(9/2)/(-b*c*x+a*c)^(9/2),x, algorithm=""giac"")","-\frac{\sqrt{-b c x + a c} {\left({\left(b c x - a c\right)} {\left({\left(b c x - a c\right)} {\left(\frac{1617 \, {\left| c \right|}}{a^{7} b c} + \frac{256 \, {\left(b c x - a c\right)} {\left| c \right|}}{a^{8} b c^{2}}\right)} + \frac{3430 \, {\left| c \right|}}{a^{6} b}\right)} + \frac{2450 \, c {\left| c \right|}}{a^{5} b}\right)}}{1120 \, {\left(2 \, a c^{2} + {\left(b c x - a c\right)} c\right)}^{\frac{7}{2}}} - \frac{16384 \, a^{6} c^{12} - 51744 \, a^{5} {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{2} c^{10} + 66416 \, a^{4} {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{4} c^{8} - 43120 \, a^{3} {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{6} c^{6} + 14280 \, a^{2} {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{8} c^{4} - 2450 \, a {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{10} c^{2} + 175 \, {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{12}}{280 \, {\left(2 \, a c^{2} - {\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{2}\right)}^{7} a^{7} b \sqrt{-c} c {\left| c \right|}}"," ",0,"-1/1120*sqrt(-b*c*x + a*c)*((b*c*x - a*c)*((b*c*x - a*c)*(1617*abs(c)/(a^7*b*c) + 256*(b*c*x - a*c)*abs(c)/(a^8*b*c^2)) + 3430*abs(c)/(a^6*b)) + 2450*c*abs(c)/(a^5*b))/(2*a*c^2 + (b*c*x - a*c)*c)^(7/2) - 1/280*(16384*a^6*c^12 - 51744*a^5*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^2*c^10 + 66416*a^4*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^4*c^8 - 43120*a^3*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^6*c^6 + 14280*a^2*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^8*c^4 - 2450*a*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^10*c^2 + 175*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^12)/((2*a*c^2 - (sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^2)^7*a^7*b*sqrt(-c)*c*abs(c))","B",0
1153,1,227,0,1.242976," ","integrate((3-6*x)^(5/2)*(4*x+2)^(5/2),x, algorithm=""giac"")","\frac{3}{40} \, \sqrt{3} \sqrt{2} {\left({\left({\left(2 \, {\left({\left(8 \, {\left(5 \, x - 13\right)} {\left(2 \, x + 1\right)} + 321\right)} {\left(2 \, x + 1\right)} - 451\right)} {\left(2 \, x + 1\right)} + 745\right)} {\left(2 \, x + 1\right)} - 405\right)} \sqrt{2 \, x + 1} \sqrt{-2 \, x + 1} + 2 \, {\left({\left(2 \, {\left(3 \, {\left(8 \, x - 17\right)} {\left(2 \, x + 1\right)} + 133\right)} {\left(2 \, x + 1\right)} - 295\right)} {\left(2 \, x + 1\right)} + 195\right)} \sqrt{2 \, x + 1} \sqrt{-2 \, x + 1} - 20 \, {\left({\left(4 \, {\left(3 \, x - 5\right)} {\left(2 \, x + 1\right)} + 43\right)} {\left(2 \, x + 1\right)} - 39\right)} \sqrt{2 \, x + 1} \sqrt{-2 \, x + 1} - 80 \, {\left({\left(4 \, x - 5\right)} {\left(2 \, x + 1\right)} + 9\right)} \sqrt{2 \, x + 1} \sqrt{-2 \, x + 1} + 240 \, \sqrt{2 \, x + 1} {\left(x - 1\right)} \sqrt{-2 \, x + 1} + 240 \, \sqrt{2 \, x + 1} \sqrt{-2 \, x + 1} + 150 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{2 \, x + 1}\right)\right)}"," ",0,"3/40*sqrt(3)*sqrt(2)*(((2*((8*(5*x - 13)*(2*x + 1) + 321)*(2*x + 1) - 451)*(2*x + 1) + 745)*(2*x + 1) - 405)*sqrt(2*x + 1)*sqrt(-2*x + 1) + 2*((2*(3*(8*x - 17)*(2*x + 1) + 133)*(2*x + 1) - 295)*(2*x + 1) + 195)*sqrt(2*x + 1)*sqrt(-2*x + 1) - 20*((4*(3*x - 5)*(2*x + 1) + 43)*(2*x + 1) - 39)*sqrt(2*x + 1)*sqrt(-2*x + 1) - 80*((4*x - 5)*(2*x + 1) + 9)*sqrt(2*x + 1)*sqrt(-2*x + 1) + 240*sqrt(2*x + 1)*(x - 1)*sqrt(-2*x + 1) + 240*sqrt(2*x + 1)*sqrt(-2*x + 1) + 150*arcsin(1/2*sqrt(2)*sqrt(2*x + 1)))","B",0
1154,1,125,0,0.984368," ","integrate((3-6*x)^(3/2)*(4*x+2)^(3/2),x, algorithm=""giac"")","-\frac{1}{8} \, \sqrt{3} \sqrt{2} {\left({\left({\left(4 \, {\left(3 \, x - 5\right)} {\left(2 \, x + 1\right)} + 43\right)} {\left(2 \, x + 1\right)} - 39\right)} \sqrt{2 \, x + 1} \sqrt{-2 \, x + 1} + 4 \, {\left({\left(4 \, x - 5\right)} {\left(2 \, x + 1\right)} + 9\right)} \sqrt{2 \, x + 1} \sqrt{-2 \, x + 1} - 24 \, \sqrt{2 \, x + 1} {\left(x - 1\right)} \sqrt{-2 \, x + 1} - 24 \, \sqrt{2 \, x + 1} \sqrt{-2 \, x + 1} - 18 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{2 \, x + 1}\right)\right)}"," ",0,"-1/8*sqrt(3)*sqrt(2)*(((4*(3*x - 5)*(2*x + 1) + 43)*(2*x + 1) - 39)*sqrt(2*x + 1)*sqrt(-2*x + 1) + 4*((4*x - 5)*(2*x + 1) + 9)*sqrt(2*x + 1)*sqrt(-2*x + 1) - 24*sqrt(2*x + 1)*(x - 1)*sqrt(-2*x + 1) - 24*sqrt(2*x + 1)*sqrt(-2*x + 1) - 18*arcsin(1/2*sqrt(2)*sqrt(2*x + 1)))","B",0
1155,1,55,0,1.068821," ","integrate((3-6*x)^(1/2)*(4*x+2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{3} \sqrt{2} {\left(\sqrt{2 \, x + 1} {\left(x - 1\right)} \sqrt{-2 \, x + 1} + \sqrt{2 \, x + 1} \sqrt{-2 \, x + 1} + \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{2 \, x + 1}\right)\right)}"," ",0,"1/2*sqrt(3)*sqrt(2)*(sqrt(2*x + 1)*(x - 1)*sqrt(-2*x + 1) + sqrt(2*x + 1)*sqrt(-2*x + 1) + arcsin(1/2*sqrt(2)*sqrt(2*x + 1)))","A",0
1156,1,15,0,0.884687," ","integrate(1/(3-6*x)^(1/2)/(4*x+2)^(1/2),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{6} \arcsin\left(\frac{1}{2} \, \sqrt{4 \, x + 2}\right)"," ",0,"1/6*sqrt(6)*arcsin(1/2*sqrt(4*x + 2))","A",0
1157,1,71,0,1.062409," ","integrate(1/(3-6*x)^(3/2)/(4*x+2)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{6} {\left(\sqrt{-4 \, x + 2} - 2\right)}}{288 \, \sqrt{4 \, x + 2}} - \frac{\sqrt{6} \sqrt{4 \, x + 2} \sqrt{-4 \, x + 2}}{288 \, {\left(2 \, x - 1\right)}} + \frac{\sqrt{6} \sqrt{4 \, x + 2}}{288 \, {\left(\sqrt{-4 \, x + 2} - 2\right)}}"," ",0,"-1/288*sqrt(6)*(sqrt(-4*x + 2) - 2)/sqrt(4*x + 2) - 1/288*sqrt(6)*sqrt(4*x + 2)*sqrt(-4*x + 2)/(2*x - 1) + 1/288*sqrt(6)*sqrt(4*x + 2)/(sqrt(-4*x + 2) - 2)","B",0
1158,1,128,0,1.016782," ","integrate(1/(3-6*x)^(5/2)/(4*x+2)^(5/2),x, algorithm=""giac"")","-\frac{1}{82944} \, \sqrt{6} {\left(\frac{{\left(\sqrt{-4 \, x + 2} - 2\right)}^{3}}{{\left(4 \, x + 2\right)}^{\frac{3}{2}}} + \frac{33 \, {\left(\sqrt{-4 \, x + 2} - 2\right)}}{\sqrt{4 \, x + 2}}\right)} - \frac{{\left(4 \, \sqrt{6} {\left(2 \, x + 1\right)} - 9 \, \sqrt{6}\right)} \sqrt{4 \, x + 2} \sqrt{-4 \, x + 2}}{10368 \, {\left(2 \, x - 1\right)}^{2}} + \frac{\sqrt{6} {\left(4 \, x + 2\right)}^{\frac{3}{2}} {\left(\frac{33 \, {\left(\sqrt{-4 \, x + 2} - 2\right)}^{2}}{2 \, x + 1} + 2\right)}}{165888 \, {\left(\sqrt{-4 \, x + 2} - 2\right)}^{3}}"," ",0,"-1/82944*sqrt(6)*((sqrt(-4*x + 2) - 2)^3/(4*x + 2)^(3/2) + 33*(sqrt(-4*x + 2) - 2)/sqrt(4*x + 2)) - 1/10368*(4*sqrt(6)*(2*x + 1) - 9*sqrt(6))*sqrt(4*x + 2)*sqrt(-4*x + 2)/(2*x - 1)^2 + 1/165888*sqrt(6)*(4*x + 2)^(3/2)*(33*(sqrt(-4*x + 2) - 2)^2/(2*x + 1) + 2)/(sqrt(-4*x + 2) - 2)^3","B",0
1159,1,181,0,1.020825," ","integrate(1/(3-6*x)^(7/2)/(4*x+2)^(7/2),x, algorithm=""giac"")","-\frac{1}{39813120} \, \sqrt{6} {\left(\frac{3 \, {\left(\sqrt{-4 \, x + 2} - 2\right)}^{5}}{{\left(4 \, x + 2\right)}^{\frac{5}{2}}} + \frac{85 \, {\left(\sqrt{-4 \, x + 2} - 2\right)}^{3}}{{\left(4 \, x + 2\right)}^{\frac{3}{2}}} + \frac{2130 \, {\left(\sqrt{-4 \, x + 2} - 2\right)}}{\sqrt{4 \, x + 2}}\right)} - \frac{{\left({\left(64 \, \sqrt{6} {\left(2 \, x + 1\right)} - 275 \, \sqrt{6}\right)} {\left(2 \, x + 1\right)} + 300 \, \sqrt{6}\right)} \sqrt{4 \, x + 2} \sqrt{-4 \, x + 2}}{1244160 \, {\left(2 \, x - 1\right)}^{3}} + \frac{\sqrt{6} {\left(\frac{1065 \, {\left(\sqrt{-4 \, x + 2} - 2\right)}^{4}}{{\left(2 \, x + 1\right)}^{2}} + \frac{85 \, {\left(\sqrt{-4 \, x + 2} - 2\right)}^{2}}{2 \, x + 1} + 6\right)} {\left(4 \, x + 2\right)}^{\frac{5}{2}}}{79626240 \, {\left(\sqrt{-4 \, x + 2} - 2\right)}^{5}}"," ",0,"-1/39813120*sqrt(6)*(3*(sqrt(-4*x + 2) - 2)^5/(4*x + 2)^(5/2) + 85*(sqrt(-4*x + 2) - 2)^3/(4*x + 2)^(3/2) + 2130*(sqrt(-4*x + 2) - 2)/sqrt(4*x + 2)) - 1/1244160*((64*sqrt(6)*(2*x + 1) - 275*sqrt(6))*(2*x + 1) + 300*sqrt(6))*sqrt(4*x + 2)*sqrt(-4*x + 2)/(2*x - 1)^3 + 1/79626240*sqrt(6)*(1065*(sqrt(-4*x + 2) - 2)^4/(2*x + 1)^2 + 85*(sqrt(-4*x + 2) - 2)^2/(2*x + 1) + 6)*(4*x + 2)^(5/2)/(sqrt(-4*x + 2) - 2)^5","B",0
1160,1,101,0,0.878850," ","integrate((3-x)^(3/2)*(-2+x)^(3/2),x, algorithm=""giac"")","-\frac{1}{192} \, {\left(2 \, {\left(4 \, {\left(6 \, x + 35\right)} {\left(x - 2\right)} + 523\right)} {\left(x - 2\right)} + 801\right)} \sqrt{x - 2} \sqrt{-x + 3} + \frac{7}{24} \, {\left(2 \, {\left(4 \, x + 15\right)} {\left(x - 2\right)} + 69\right)} \sqrt{x - 2} \sqrt{-x + 3} - 4 \, {\left(2 \, x + 3\right)} \sqrt{x - 2} \sqrt{-x + 3} + 12 \, \sqrt{x - 2} \sqrt{-x + 3} + \frac{3}{64} \, \arcsin\left(\sqrt{x - 2}\right)"," ",0,"-1/192*(2*(4*(6*x + 35)*(x - 2) + 523)*(x - 2) + 801)*sqrt(x - 2)*sqrt(-x + 3) + 7/24*(2*(4*x + 15)*(x - 2) + 69)*sqrt(x - 2)*sqrt(-x + 3) - 4*(2*x + 3)*sqrt(x - 2)*sqrt(-x + 3) + 12*sqrt(x - 2)*sqrt(-x + 3) + 3/64*arcsin(sqrt(x - 2))","A",0
1161,1,42,0,1.019457," ","integrate((3-x)^(1/2)*(-2+x)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, {\left(2 \, x + 3\right)} \sqrt{x - 2} \sqrt{-x + 3} - 2 \, \sqrt{x - 2} \sqrt{-x + 3} + \frac{1}{4} \, \arcsin\left(\sqrt{x - 2}\right)"," ",0,"1/4*(2*x + 3)*sqrt(x - 2)*sqrt(-x + 3) - 2*sqrt(x - 2)*sqrt(-x + 3) + 1/4*arcsin(sqrt(x - 2))","A",0
1162,1,8,0,1.018915," ","integrate(1/(3-x)^(1/2)/(-2+x)^(1/2),x, algorithm=""giac"")","2 \, \arcsin\left(\sqrt{x - 2}\right)"," ",0,"2*arcsin(sqrt(x - 2))","A",0
1163,1,53,0,0.847724," ","integrate(1/(3-x)^(3/2)/(-2+x)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{-x + 3} - 1}{\sqrt{x - 2}} - \frac{2 \, \sqrt{x - 2} \sqrt{-x + 3}}{x - 3} + \frac{\sqrt{x - 2}}{\sqrt{-x + 3} - 1}"," ",0,"-(sqrt(-x + 3) - 1)/sqrt(x - 2) - 2*sqrt(x - 2)*sqrt(-x + 3)/(x - 3) + sqrt(x - 2)/(sqrt(-x + 3) - 1)","A",0
1164,1,97,0,1.096394," ","integrate(1/(3-x)^(5/2)/(-2+x)^(5/2),x, algorithm=""giac"")","-\frac{{\left(\sqrt{-x + 3} - 1\right)}^{3}}{12 \, {\left(x - 2\right)}^{\frac{3}{2}}} - \frac{11 \, {\left(\sqrt{-x + 3} - 1\right)}}{4 \, \sqrt{x - 2}} - \frac{2 \, {\left(8 \, x - 25\right)} \sqrt{x - 2} \sqrt{-x + 3}}{3 \, {\left(x - 3\right)}^{2}} + \frac{{\left(x - 2\right)}^{\frac{3}{2}} {\left(\frac{33 \, {\left(\sqrt{-x + 3} - 1\right)}^{2}}{x - 2} + 1\right)}}{12 \, {\left(\sqrt{-x + 3} - 1\right)}^{3}}"," ",0,"-1/12*(sqrt(-x + 3) - 1)^3/(x - 2)^(3/2) - 11/4*(sqrt(-x + 3) - 1)/sqrt(x - 2) - 2/3*(8*x - 25)*sqrt(x - 2)*sqrt(-x + 3)/(x - 3)^2 + 1/12*(x - 2)^(3/2)*(33*(sqrt(-x + 3) - 1)^2/(x - 2) + 1)/(sqrt(-x + 3) - 1)^3","A",0
1165,1,62,0,0.895871," ","integrate(1/(3-x)^(3/2)/(3+x)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{6} - \sqrt{-x + 3}}{36 \, \sqrt{x + 3}} - \frac{\sqrt{x + 3} \sqrt{-x + 3}}{18 \, {\left(x - 3\right)}} - \frac{\sqrt{x + 3}}{36 \, {\left(\sqrt{6} - \sqrt{-x + 3}\right)}}"," ",0,"1/36*(sqrt(6) - sqrt(-x + 3))/sqrt(x + 3) - 1/18*sqrt(x + 3)*sqrt(-x + 3)/(x - 3) - 1/36*sqrt(x + 3)/(sqrt(6) - sqrt(-x + 3))","B",0
1166,1,82,0,1.097646," ","integrate(1/(-b*x+3)^(3/2)/(b*x+3)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{6} - \sqrt{-b x + 3}}{36 \, \sqrt{b x + 3} b} - \frac{\sqrt{b x + 3} \sqrt{-b x + 3}}{18 \, {\left(b x - 3\right)} b} - \frac{\sqrt{b x + 3}}{36 \, b {\left(\sqrt{6} - \sqrt{-b x + 3}\right)}}"," ",0,"1/36*(sqrt(6) - sqrt(-b*x + 3))/(sqrt(b*x + 3)*b) - 1/18*sqrt(b*x + 3)*sqrt(-b*x + 3)/((b*x - 3)*b) - 1/36*sqrt(b*x + 3)/(b*(sqrt(6) - sqrt(-b*x + 3)))","B",0
1167,1,71,0,1.044344," ","integrate(1/(6-2*x)^(3/2)/(3+x)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\sqrt{6} - \sqrt{-x + 3}\right)}}{144 \, \sqrt{x + 3}} - \frac{\sqrt{2} \sqrt{x + 3} \sqrt{-x + 3}}{72 \, {\left(x - 3\right)}} - \frac{\sqrt{2} \sqrt{x + 3}}{144 \, {\left(\sqrt{6} - \sqrt{-x + 3}\right)}}"," ",0,"1/144*sqrt(2)*(sqrt(6) - sqrt(-x + 3))/sqrt(x + 3) - 1/72*sqrt(2)*sqrt(x + 3)*sqrt(-x + 3)/(x - 3) - 1/144*sqrt(2)*sqrt(x + 3)/(sqrt(6) - sqrt(-x + 3))","B",0
1168,1,91,0,1.143676," ","integrate(1/(-2*b*x+6)^(3/2)/(b*x+3)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\sqrt{6} - \sqrt{-b x + 3}\right)}}{144 \, \sqrt{b x + 3} b} - \frac{\sqrt{2} \sqrt{b x + 3} \sqrt{-b x + 3}}{72 \, {\left(b x - 3\right)} b} - \frac{\sqrt{2} \sqrt{b x + 3}}{144 \, b {\left(\sqrt{6} - \sqrt{-b x + 3}\right)}}"," ",0,"1/144*sqrt(2)*(sqrt(6) - sqrt(-b*x + 3))/(sqrt(b*x + 3)*b) - 1/72*sqrt(2)*sqrt(b*x + 3)*sqrt(-b*x + 3)/((b*x - 3)*b) - 1/144*sqrt(2)*sqrt(b*x + 3)/(b*(sqrt(6) - sqrt(-b*x + 3)))","B",0
1169,-1,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(b*d*x-a*d)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1170,0,0,0,0.000000," ","integrate(1/(-3*e*x+6)^(1/4)/(e*x+2)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(e x + 2\right)}^{\frac{3}{4}} {\left(-3 \, e x + 6\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((e*x + 2)^(3/4)*(-3*e*x + 6)^(1/4)), x)","F",0
1171,-2,0,0,0.000000," ","integrate((a-I*a*x)^(7/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [-49,-86]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [-64,-30]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [70,22]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [42,56]ext_reduce Error: Bad Argument TypeEvaluation time: 0.58integrate(i/4*a*(-i)/a^2*(16*i*((i*a*x+a)^(1/4))^6*((2*a-((i*a*x+a)^(1/4))^4)^(1/4))^3+(-32*i)*a*((i*a*x+a)^(1/4))^2*((2*a-((i*a*x+a)^(1/4))^4)^(1/4))^3)/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1172,0,0,0,0.000000," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{3}{4}}}{{\left(i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(3/4)/(I*a*x + a)^(1/4), x)","F",0
1173,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, choosing root of [1,0,0,0,%%%{-i,[1,1]%%%}+%%%{-1,[1,0]%%%}] at parameters values [-27,-87]ext_reduce Error: Bad Argument Typeintegrate((-4*i)/a/4*i*a*(-4*i)/a*((i*a*x+a)^(1/4))^2/(-((i*a*x+a)^(1/4))^4+2*a)^(1/4)/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1174,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(5/4)), x)","F",0
1175,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(9/4)), x)","F",0
1176,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(13/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{13}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(13/4)), x)","F",0
1177,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(17/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{17}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(17/4)), x)","F",0
1178,0,0,0,0.000000," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{1}{4}}}{{\left(i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(1/4)/(I*a*x + a)^(1/4), x)","F",0
1179,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, choosing root of [1,0,0,0,%%%{-i,[1,1]%%%}+%%%{-1,[1,0]%%%}] at parameters values [-27,-87]ext_reduce Error: Bad Argument Typeintegrate((-4*i)/a/4*i*a*(-4*i)/a*((i*a*x+a)^(1/4))^2/((-((i*a*x+a)^(1/4))^4+2*a)^(1/4))^3/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1180,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(7/4)), x)","F",0
1181,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{11}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(11/4)), x)","F",0
1182,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(15/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{15}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(15/4)), x)","F",0
1183,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(19/4)/(a+I*a*x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{1}{4}} {\left(-i \, a x + a\right)}^{\frac{19}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(1/4)*(-I*a*x + a)^(19/4)), x)","F",0
1184,0,0,0,0.000000," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),x, algorithm=""giac"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{3}{4}}}{{\left(i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(3/4)/(I*a*x + a)^(3/4), x)","F",0
1185,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(3/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:ext_reduce Error: Bad Argument Typeintegrate((-4*i)/a/4*i*a*(-4*i)/a/(-((i*a*x+a)^(1/4))^4+2*a)^(1/4)/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1186,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(3/4)*(-I*a*x + a)^(5/4)), x)","F",0
1187,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(3/4)*(-I*a*x + a)^(9/4)), x)","F",0
1188,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(13/4)/(a+I*a*x)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{13}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(3/4)*(-I*a*x + a)^(13/4)), x)","F",0
1189,-2,0,0,0.000000," ","integrate((a-I*a*x)^(5/4)/(a+I*a*x)^(3/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:ext_reduce Error: Bad Argument Typeintegrate(i/4*a*(-i)/a^2*(16*i*((i*a*x+a)^(1/4))^4*(2*a-((i*a*x+a)^(1/4))^4)^(1/4)+(-32*i)*a*(2*a-((i*a*x+a)^(1/4))^4)^(1/4))/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1190,0,0,0,0.000000," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(3/4),x, algorithm=""giac"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{1}{4}}}{{\left(i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(1/4)/(I*a*x + a)^(3/4), x)","F",0
1191,-2,0,0,0.000000," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:ext_reduce Error: Bad Argument Typeintegrate((-4*i)/a/4*i*a*(-4*i)/a/((-((i*a*x+a)^(1/4))^4+2*a)^(1/4))^3/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1192,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(3/4)*(-I*a*x + a)^(7/4)), x)","F",0
1193,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{3}{4}} {\left(-i \, a x + a\right)}^{\frac{11}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(3/4)*(-I*a*x + a)^(11/4)), x)","F",0
1194,-2,0,0,0.000000," ","integrate((a-I*a*x)^(7/4)/(a+I*a*x)^(7/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [-64,-30]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [70,22]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [42,56]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [-9,-13]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [46,24]ext_reduce Error: Bad Argument TypeEvaluation time: 0.61integrate(i/4*a/a^2*(16*((i*a*x+a)^(1/4))^4*((-((i*a*x+a)^(1/4))^4+2*a)^(1/4))^3-32*a*((-((i*a*x+a)^(1/4))^4+2*a)^(1/4))^3)/((i*a*x+a)^(1/4))^4/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1195,0,0,0,0.000000," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(7/4),x, algorithm=""giac"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{3}{4}}}{{\left(i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(3/4)/(I*a*x + a)^(7/4), x)","F",0
1196,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(7/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{7}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(7/4)*(-I*a*x + a)^(1/4)), x)","F",0
1197,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(7/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{7}{4}} {\left(-i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(7/4)*(-I*a*x + a)^(5/4)), x)","F",0
1198,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(7/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{7}{4}} {\left(-i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(7/4)*(-I*a*x + a)^(9/4)), x)","F",0
1199,-2,0,0,0.000000," ","integrate((a-I*a*x)^(9/4)/(a+I*a*x)^(7/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:ext_reduce Error: Bad Argument Typeintegrate(i/4*a/a^2*(-16*((i*a*x+a)^(1/4))^8*(-((i*a*x+a)^(1/4))^4+2*a)^(1/4)+64*((i*a*x+a)^(1/4))^4*a*(-((i*a*x+a)^(1/4))^4+2*a)^(1/4)-64*a^2*(-((i*a*x+a)^(1/4))^4+2*a)^(1/4))/((i*a*x+a)^(1/4))^4/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1200,-2,0,0,0.000000," ","integrate((a-I*a*x)^(5/4)/(a+I*a*x)^(7/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:ext_reduce Error: Bad Argument Typeintegrate(i/4*a/a^2*(16*((i*a*x+a)^(1/4))^4*(-((i*a*x+a)^(1/4))^4+2*a)^(1/4)-32*a*(-((i*a*x+a)^(1/4))^4+2*a)^(1/4))/((i*a*x+a)^(1/4))^4/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1201,-2,0,0,0.000000," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(7/4),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"Unable to divide, perhaps due to rounding error%%%{1,[0,1,2,0]%%%} / %%%{-i,[0,0,0,1]%%%} Error: Bad Argument Value"","F(-2)",0
1202,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(7/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{7}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(7/4)*(-I*a*x + a)^(3/4)), x)","F",0
1203,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(7/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{7}{4}} {\left(-i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(7/4)*(-I*a*x + a)^(7/4)), x)","F",0
1204,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(7/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{7}{4}} {\left(-i \, a x + a\right)}^{\frac{11}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(7/4)*(-I*a*x + a)^(11/4)), x)","F",0
1205,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(15/4)/(a+I*a*x)^(7/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{7}{4}} {\left(-i \, a x + a\right)}^{\frac{15}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(7/4)*(-I*a*x + a)^(15/4)), x)","F",0
1206,-2,0,0,0.000000," ","integrate((a-I*a*x)^(7/4)/(a+I*a*x)^(5/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [70,22]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [42,56]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [-9,-13]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [46,24]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [49,-6]ext_reduce Error: Bad Argument TypeEvaluation time: 0.66integrate(i/4*a/a^2*(16*((i*a*x+a)^(1/4))^4*((-((i*a*x+a)^(1/4))^4+2*a)^(1/4))^3-32*a*((-((i*a*x+a)^(1/4))^4+2*a)^(1/4))^3)/((i*a*x+a)^(1/4))^2/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1207,0,0,0,0.000000," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(5/4),x, algorithm=""giac"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{3}{4}}}{{\left(i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(3/4)/(I*a*x + a)^(5/4), x)","F",0
1208,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{5}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(5/4)*(-I*a*x + a)^(1/4)), x)","F",0
1209,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{5}{4}} {\left(-i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(5/4)*(-I*a*x + a)^(5/4)), x)","F",0
1210,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{5}{4}} {\left(-i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(5/4)*(-I*a*x + a)^(9/4)), x)","F",0
1211,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(13/4)/(a+I*a*x)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{5}{4}} {\left(-i \, a x + a\right)}^{\frac{13}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(5/4)*(-I*a*x + a)^(13/4)), x)","F",0
1212,-2,0,0,0.000000," ","integrate((a-I*a*x)^(5/4)/(a+I*a*x)^(5/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:ext_reduce Error: Bad Argument Typeintegrate(i/4*a/a^2*(16*((i*a*x+a)^(1/4))^4*(-((i*a*x+a)^(1/4))^4+2*a)^(1/4)-32*a*(-((i*a*x+a)^(1/4))^4+2*a)^(1/4))/((i*a*x+a)^(1/4))^2/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1213,-2,0,0,0.000000," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(5/4),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"Unable to divide, perhaps due to rounding error%%%{1,[0,1,0]%%%} / %%%{-i,[0,0,1]%%%} Error: Bad Argument Value"","F(-2)",0
1214,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{5}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(5/4)*(-I*a*x + a)^(3/4)), x)","F",0
1215,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{5}{4}} {\left(-i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(5/4)*(-I*a*x + a)^(7/4)), x)","F",0
1216,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{5}{4}} {\left(-i \, a x + a\right)}^{\frac{11}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(5/4)*(-I*a*x + a)^(11/4)), x)","F",0
1217,-2,0,0,0.000000," ","integrate((a-I*a*x)^(7/4)/(a+I*a*x)^(9/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [-49,-86]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [-64,-30]Warning, choosing root of [1,0,0,0,%%%{-2,[1,0]%%%}+%%%{1,[0,4]%%%}] at parameters values [70,22]ext_reduce Error: Bad Argument TypeEvaluation time: 0.57integrate(i/4*a/a^2*(16*((i*a*x+a)^(1/4))^4*((-((i*a*x+a)^(1/4))^4+2*a)^(1/4))^3-32*a*((-((i*a*x+a)^(1/4))^4+2*a)^(1/4))^3)/((i*a*x+a)^(1/4))^6/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1218,0,0,0,0.000000," ","integrate((a-I*a*x)^(3/4)/(a+I*a*x)^(9/4),x, algorithm=""giac"")","\int \frac{{\left(-i \, a x + a\right)}^{\frac{3}{4}}}{{\left(i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((-I*a*x + a)^(3/4)/(I*a*x + a)^(9/4), x)","F",0
1219,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(1/4)/(a+I*a*x)^(9/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{9}{4}} {\left(-i \, a x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(9/4)*(-I*a*x + a)^(1/4)), x)","F",0
1220,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(5/4)/(a+I*a*x)^(9/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{9}{4}} {\left(-i \, a x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(9/4)*(-I*a*x + a)^(5/4)), x)","F",0
1221,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(9/4)/(a+I*a*x)^(9/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{9}{4}} {\left(-i \, a x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(9/4)*(-I*a*x + a)^(9/4)), x)","F",0
1222,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(13/4)/(a+I*a*x)^(9/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{9}{4}} {\left(-i \, a x + a\right)}^{\frac{13}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(9/4)*(-I*a*x + a)^(13/4)), x)","F",0
1223,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(17/4)/(a+I*a*x)^(9/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{9}{4}} {\left(-i \, a x + a\right)}^{\frac{17}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(9/4)*(-I*a*x + a)^(17/4)), x)","F",0
1224,-2,0,0,0.000000," ","integrate((a-I*a*x)^(5/4)/(a+I*a*x)^(9/4),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:ext_reduce Error: Bad Argument Typeintegrate(i/4*a/a^2*(16*((i*a*x+a)^(1/4))^4*(-((i*a*x+a)^(1/4))^4+2*a)^(1/4)-32*a*(-((i*a*x+a)^(1/4))^4+2*a)^(1/4))/((i*a*x+a)^(1/4))^6/4*i*a*((i*a*x+a)^(1/4))^-3,x)","F(-2)",0
1225,-2,0,0,0.000000," ","integrate((a-I*a*x)^(1/4)/(a+I*a*x)^(9/4),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"Unable to divide, perhaps due to rounding error%%%{1,[0,4,1,0]%%%} / %%%{i,[0,0,0,1]%%%} Error: Bad Argument Value"","F(-2)",0
1226,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(3/4)/(a+I*a*x)^(9/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{9}{4}} {\left(-i \, a x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(9/4)*(-I*a*x + a)^(3/4)), x)","F",0
1227,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(7/4)/(a+I*a*x)^(9/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{9}{4}} {\left(-i \, a x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(9/4)*(-I*a*x + a)^(7/4)), x)","F",0
1228,0,0,0,0.000000," ","integrate(1/(a-I*a*x)^(11/4)/(a+I*a*x)^(9/4),x, algorithm=""giac"")","\int \frac{1}{{\left(i \, a x + a\right)}^{\frac{9}{4}} {\left(-i \, a x + a\right)}^{\frac{11}{4}}}\,{d x}"," ",0,"integrate(1/((I*a*x + a)^(9/4)*(-I*a*x + a)^(11/4)), x)","F",0
1229,1,256,0,1.145170," ","integrate((b*x+a)^2*(-b*c*x+a*c)^n,x, algorithm=""giac"")","\frac{{\left(-b c x + a c\right)}^{n} b^{3} n^{2} x^{3} + {\left(-b c x + a c\right)}^{n} a b^{2} n^{2} x^{2} + 3 \, {\left(-b c x + a c\right)}^{n} b^{3} n x^{3} - {\left(-b c x + a c\right)}^{n} a^{2} b n^{2} x + 7 \, {\left(-b c x + a c\right)}^{n} a b^{2} n x^{2} + 2 \, {\left(-b c x + a c\right)}^{n} b^{3} x^{3} - {\left(-b c x + a c\right)}^{n} a^{3} n^{2} - 3 \, {\left(-b c x + a c\right)}^{n} a^{2} b n x + 6 \, {\left(-b c x + a c\right)}^{n} a b^{2} x^{2} - 7 \, {\left(-b c x + a c\right)}^{n} a^{3} n + 6 \, {\left(-b c x + a c\right)}^{n} a^{2} b x - 14 \, {\left(-b c x + a c\right)}^{n} a^{3}}{b n^{3} + 6 \, b n^{2} + 11 \, b n + 6 \, b}"," ",0,"((-b*c*x + a*c)^n*b^3*n^2*x^3 + (-b*c*x + a*c)^n*a*b^2*n^2*x^2 + 3*(-b*c*x + a*c)^n*b^3*n*x^3 - (-b*c*x + a*c)^n*a^2*b*n^2*x + 7*(-b*c*x + a*c)^n*a*b^2*n*x^2 + 2*(-b*c*x + a*c)^n*b^3*x^3 - (-b*c*x + a*c)^n*a^3*n^2 - 3*(-b*c*x + a*c)^n*a^2*b*n*x + 6*(-b*c*x + a*c)^n*a*b^2*x^2 - 7*(-b*c*x + a*c)^n*a^3*n + 6*(-b*c*x + a*c)^n*a^2*b*x - 14*(-b*c*x + a*c)^n*a^3)/(b*n^3 + 6*b*n^2 + 11*b*n + 6*b)","B",0
1230,1,103,0,1.050004," ","integrate((b*x+a)*(-b*c*x+a*c)^n,x, algorithm=""giac"")","\frac{{\left(-b c x + a c\right)}^{n} b^{2} n x^{2} + {\left(-b c x + a c\right)}^{n} b^{2} x^{2} - {\left(-b c x + a c\right)}^{n} a^{2} n + 2 \, {\left(-b c x + a c\right)}^{n} a b x - 3 \, {\left(-b c x + a c\right)}^{n} a^{2}}{b n^{2} + 3 \, b n + 2 \, b}"," ",0,"((-b*c*x + a*c)^n*b^2*n*x^2 + (-b*c*x + a*c)^n*b^2*x^2 - (-b*c*x + a*c)^n*a^2*n + 2*(-b*c*x + a*c)^n*a*b*x - 3*(-b*c*x + a*c)^n*a^2)/(b*n^2 + 3*b*n + 2*b)","A",0
1231,0,0,0,0.000000," ","integrate((-b*c*x+a*c)^n/(b*x+a),x, algorithm=""giac"")","\int \frac{{\left(-b c x + a c\right)}^{n}}{b x + a}\,{d x}"," ",0,"integrate((-b*c*x + a*c)^n/(b*x + a), x)","F",0
1232,0,0,0,0.000000," ","integrate((-b*c*x+a*c)^n/(b*x+a)^2,x, algorithm=""giac"")","\int \frac{{\left(-b c x + a c\right)}^{n}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((-b*c*x + a*c)^n/(b*x + a)^2, x)","F",0
1233,0,0,0,0.000000," ","integrate((a*x+a)^m*(-c*x+c)^m,x, algorithm=""giac"")","\int {\left(a x + a\right)}^{m} {\left(-c x + c\right)}^{m}\,{d x}"," ",0,"integrate((a*x + a)^m*(-c*x + c)^m, x)","F",0
1234,0,0,0,0.000000," ","integrate((b*x+a)^m*(-b*c*x+a*c)^m,x, algorithm=""giac"")","\int {\left(-b c x + a c\right)}^{m} {\left(b x + a\right)}^{m}\,{d x}"," ",0,"integrate((-b*c*x + a*c)^m*(b*x + a)^m, x)","F",0
1235,0,0,0,0.000000," ","integrate((3-6*x)^m*(4*x+2)^m,x, algorithm=""giac"")","\int {\left(4 \, x + 2\right)}^{m} {\left(-6 \, x + 3\right)}^{m}\,{d x}"," ",0,"integrate((4*x + 2)^m*(-6*x + 3)^m, x)","F",0
1236,1,97,0,1.031599," ","integrate((b*x+a)^4*(d*x+c),x, algorithm=""giac"")","\frac{1}{6} \, b^{4} d x^{6} + \frac{1}{5} \, b^{4} c x^{5} + \frac{4}{5} \, a b^{3} d x^{5} + a b^{3} c x^{4} + \frac{3}{2} \, a^{2} b^{2} d x^{4} + 2 \, a^{2} b^{2} c x^{3} + \frac{4}{3} \, a^{3} b d x^{3} + 2 \, a^{3} b c x^{2} + \frac{1}{2} \, a^{4} d x^{2} + a^{4} c x"," ",0,"1/6*b^4*d*x^6 + 1/5*b^4*c*x^5 + 4/5*a*b^3*d*x^5 + a*b^3*c*x^4 + 3/2*a^2*b^2*d*x^4 + 2*a^2*b^2*c*x^3 + 4/3*a^3*b*d*x^3 + 2*a^3*b*c*x^2 + 1/2*a^4*d*x^2 + a^4*c*x","B",0
1237,1,72,0,1.138544," ","integrate((b*x+a)^3*(d*x+c),x, algorithm=""giac"")","\frac{1}{5} \, b^{3} d x^{5} + \frac{1}{4} \, b^{3} c x^{4} + \frac{3}{4} \, a b^{2} d x^{4} + a b^{2} c x^{3} + a^{2} b d x^{3} + \frac{3}{2} \, a^{2} b c x^{2} + \frac{1}{2} \, a^{3} d x^{2} + a^{3} c x"," ",0,"1/5*b^3*d*x^5 + 1/4*b^3*c*x^4 + 3/4*a*b^2*d*x^4 + a*b^2*c*x^3 + a^2*b*d*x^3 + 3/2*a^2*b*c*x^2 + 1/2*a^3*d*x^2 + a^3*c*x","B",0
1238,1,49,0,0.993048," ","integrate((b*x+a)^2*(d*x+c),x, algorithm=""giac"")","\frac{1}{4} \, b^{2} d x^{4} + \frac{1}{3} \, b^{2} c x^{3} + \frac{2}{3} \, a b d x^{3} + a b c x^{2} + \frac{1}{2} \, a^{2} d x^{2} + a^{2} c x"," ",0,"1/4*b^2*d*x^4 + 1/3*b^2*c*x^3 + 2/3*a*b*d*x^3 + a*b*c*x^2 + 1/2*a^2*d*x^2 + a^2*c*x","A",0
1239,1,26,0,0.994148," ","integrate((b*x+a)*(d*x+c),x, algorithm=""giac"")","\frac{1}{3} \, b d x^{3} + \frac{1}{2} \, b c x^{2} + \frac{1}{2} \, a d x^{2} + a c x"," ",0,"1/3*b*d*x^3 + 1/2*b*c*x^2 + 1/2*a*d*x^2 + a*c*x","A",0
1240,1,10,0,0.903145," ","integrate(d*x+c,x, algorithm=""giac"")","\frac{1}{2} \, d x^{2} + c x"," ",0,"1/2*d*x^2 + c*x","A",0
1241,1,26,0,0.955310," ","integrate((d*x+c)/(b*x+a),x, algorithm=""giac"")","\frac{d x}{b} + \frac{{\left(b c - a d\right)} \log\left({\left| b x + a \right|}\right)}{b^{2}}"," ",0,"d*x/b + (b*c - a*d)*log(abs(b*x + a))/b^2","A",0
1242,1,57,0,1.019938," ","integrate((d*x+c)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{d {\left(\frac{\log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b} - \frac{a}{{\left(b x + a\right)} b}\right)}}{b} - \frac{c}{{\left(b x + a\right)} b}"," ",0,"-d*(log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b - a/((b*x + a)*b))/b - c/((b*x + a)*b)","A",0
1243,1,24,0,1.061911," ","integrate((d*x+c)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, b d x + b c + a d}{2 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"-1/2*(2*b*d*x + b*c + a*d)/((b*x + a)^2*b^2)","A",0
1244,1,25,0,0.749005," ","integrate((d*x+c)/(b*x+a)^4,x, algorithm=""giac"")","-\frac{3 \, b d x + 2 \, b c + a d}{6 \, {\left(b x + a\right)}^{3} b^{2}}"," ",0,"-1/6*(3*b*d*x + 2*b*c + a*d)/((b*x + a)^3*b^2)","A",0
1245,1,41,0,0.923584," ","integrate((d*x+c)/(b*x+a)^5,x, algorithm=""giac"")","-\frac{c}{4 \, {\left(b x + a\right)}^{4} b} - \frac{d}{3 \, {\left(b x + a\right)}^{3} b^{2}} + \frac{a d}{4 \, {\left(b x + a\right)}^{4} b^{2}}"," ",0,"-1/4*c/((b*x + a)^4*b) - 1/3*d/((b*x + a)^3*b^2) + 1/4*a*d/((b*x + a)^4*b^2)","A",0
1246,1,170,0,1.132244," ","integrate((b*x+a)^4*(d*x+c)^2,x, algorithm=""giac"")","\frac{1}{7} \, b^{4} d^{2} x^{7} + \frac{1}{3} \, b^{4} c d x^{6} + \frac{2}{3} \, a b^{3} d^{2} x^{6} + \frac{1}{5} \, b^{4} c^{2} x^{5} + \frac{8}{5} \, a b^{3} c d x^{5} + \frac{6}{5} \, a^{2} b^{2} d^{2} x^{5} + a b^{3} c^{2} x^{4} + 3 \, a^{2} b^{2} c d x^{4} + a^{3} b d^{2} x^{4} + 2 \, a^{2} b^{2} c^{2} x^{3} + \frac{8}{3} \, a^{3} b c d x^{3} + \frac{1}{3} \, a^{4} d^{2} x^{3} + 2 \, a^{3} b c^{2} x^{2} + a^{4} c d x^{2} + a^{4} c^{2} x"," ",0,"1/7*b^4*d^2*x^7 + 1/3*b^4*c*d*x^6 + 2/3*a*b^3*d^2*x^6 + 1/5*b^4*c^2*x^5 + 8/5*a*b^3*c*d*x^5 + 6/5*a^2*b^2*d^2*x^5 + a*b^3*c^2*x^4 + 3*a^2*b^2*c*d*x^4 + a^3*b*d^2*x^4 + 2*a^2*b^2*c^2*x^3 + 8/3*a^3*b*c*d*x^3 + 1/3*a^4*d^2*x^3 + 2*a^3*b*c^2*x^2 + a^4*c*d*x^2 + a^4*c^2*x","B",0
1247,1,130,0,1.132433," ","integrate((b*x+a)^3*(d*x+c)^2,x, algorithm=""giac"")","\frac{1}{6} \, b^{3} d^{2} x^{6} + \frac{2}{5} \, b^{3} c d x^{5} + \frac{3}{5} \, a b^{2} d^{2} x^{5} + \frac{1}{4} \, b^{3} c^{2} x^{4} + \frac{3}{2} \, a b^{2} c d x^{4} + \frac{3}{4} \, a^{2} b d^{2} x^{4} + a b^{2} c^{2} x^{3} + 2 \, a^{2} b c d x^{3} + \frac{1}{3} \, a^{3} d^{2} x^{3} + \frac{3}{2} \, a^{2} b c^{2} x^{2} + a^{3} c d x^{2} + a^{3} c^{2} x"," ",0,"1/6*b^3*d^2*x^6 + 2/5*b^3*c*d*x^5 + 3/5*a*b^2*d^2*x^5 + 1/4*b^3*c^2*x^4 + 3/2*a*b^2*c*d*x^4 + 3/4*a^2*b*d^2*x^4 + a*b^2*c^2*x^3 + 2*a^2*b*c*d*x^3 + 1/3*a^3*d^2*x^3 + 3/2*a^2*b*c^2*x^2 + a^3*c*d*x^2 + a^3*c^2*x","B",0
1248,1,89,0,0.795166," ","integrate((b*x+a)^2*(d*x+c)^2,x, algorithm=""giac"")","\frac{1}{5} \, b^{2} d^{2} x^{5} + \frac{1}{2} \, b^{2} c d x^{4} + \frac{1}{2} \, a b d^{2} x^{4} + \frac{1}{3} \, b^{2} c^{2} x^{3} + \frac{4}{3} \, a b c d x^{3} + \frac{1}{3} \, a^{2} d^{2} x^{3} + a b c^{2} x^{2} + a^{2} c d x^{2} + a^{2} c^{2} x"," ",0,"1/5*b^2*d^2*x^5 + 1/2*b^2*c*d*x^4 + 1/2*a*b*d^2*x^4 + 1/3*b^2*c^2*x^3 + 4/3*a*b*c*d*x^3 + 1/3*a^2*d^2*x^3 + a*b*c^2*x^2 + a^2*c*d*x^2 + a^2*c^2*x","A",0
1249,1,49,0,1.027379," ","integrate((b*x+a)*(d*x+c)^2,x, algorithm=""giac"")","\frac{1}{4} \, b d^{2} x^{4} + \frac{2}{3} \, b c d x^{3} + \frac{1}{3} \, a d^{2} x^{3} + \frac{1}{2} \, b c^{2} x^{2} + a c d x^{2} + a c^{2} x"," ",0,"1/4*b*d^2*x^4 + 2/3*b*c*d*x^3 + 1/3*a*d^2*x^3 + 1/2*b*c^2*x^2 + a*c*d*x^2 + a*c^2*x","A",0
1250,1,12,0,0.963135," ","integrate((d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(d x + c\right)}^{3}}{3 \, d}"," ",0,"1/3*(d*x + c)^3/d","A",0
1251,1,60,0,1.196082," ","integrate((d*x+c)^2/(b*x+a),x, algorithm=""giac"")","\frac{b d^{2} x^{2} + 4 \, b c d x - 2 \, a d^{2} x}{2 \, b^{2}} + \frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{b^{3}}"," ",0,"1/2*(b*d^2*x^2 + 4*b*c*d*x - 2*a*d^2*x)/b^2 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(abs(b*x + a))/b^3","A",0
1252,1,98,0,0.936794," ","integrate((d*x+c)^2/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)} d^{2}}{b^{3}} - \frac{2 \, {\left(b c d - a d^{2}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{3}} - \frac{\frac{b^{3} c^{2}}{b x + a} - \frac{2 \, a b^{2} c d}{b x + a} + \frac{a^{2} b d^{2}}{b x + a}}{b^{4}}"," ",0,"(b*x + a)*d^2/b^3 - 2*(b*c*d - a*d^2)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^3 - (b^3*c^2/(b*x + a) - 2*a*b^2*c*d/(b*x + a) + a^2*b*d^2/(b*x + a))/b^4","A",0
1253,1,68,0,1.030530," ","integrate((d*x+c)^2/(b*x+a)^3,x, algorithm=""giac"")","\frac{d^{2} \log\left({\left| b x + a \right|}\right)}{b^{3}} - \frac{4 \, {\left(b c d - a d^{2}\right)} x + \frac{b^{2} c^{2} + 2 \, a b c d - 3 \, a^{2} d^{2}}{b}}{2 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"d^2*log(abs(b*x + a))/b^3 - 1/2*(4*(b*c*d - a*d^2)*x + (b^2*c^2 + 2*a*b*c*d - 3*a^2*d^2)/b)/((b*x + a)^2*b^2)","A",0
1254,1,59,0,0.960405," ","integrate((d*x+c)^2/(b*x+a)^4,x, algorithm=""giac"")","-\frac{3 \, b^{2} d^{2} x^{2} + 3 \, b^{2} c d x + 3 \, a b d^{2} x + b^{2} c^{2} + a b c d + a^{2} d^{2}}{3 \, {\left(b x + a\right)}^{3} b^{3}}"," ",0,"-1/3*(3*b^2*d^2*x^2 + 3*b^2*c*d*x + 3*a*b*d^2*x + b^2*c^2 + a*b*c*d + a^2*d^2)/((b*x + a)^3*b^3)","B",0
1255,1,96,0,1.126491," ","integrate((d*x+c)^2/(b*x+a)^5,x, algorithm=""giac"")","-\frac{\frac{3 \, c^{2}}{{\left(b x + a\right)}^{4}} + \frac{8 \, c d}{{\left(b x + a\right)}^{3} b} - \frac{6 \, a c d}{{\left(b x + a\right)}^{4} b} + \frac{6 \, d^{2}}{{\left(b x + a\right)}^{2} b^{2}} - \frac{8 \, a d^{2}}{{\left(b x + a\right)}^{3} b^{2}} + \frac{3 \, a^{2} d^{2}}{{\left(b x + a\right)}^{4} b^{2}}}{12 \, b}"," ",0,"-1/12*(3*c^2/(b*x + a)^4 + 8*c*d/((b*x + a)^3*b) - 6*a*c*d/((b*x + a)^4*b) + 6*d^2/((b*x + a)^2*b^2) - 8*a*d^2/((b*x + a)^3*b^2) + 3*a^2*d^2/((b*x + a)^4*b^2))/b","A",0
1256,1,61,0,0.869663," ","integrate((d*x+c)^2/(b*x+a)^6,x, algorithm=""giac"")","-\frac{10 \, b^{2} d^{2} x^{2} + 15 \, b^{2} c d x + 5 \, a b d^{2} x + 6 \, b^{2} c^{2} + 3 \, a b c d + a^{2} d^{2}}{30 \, {\left(b x + a\right)}^{5} b^{3}}"," ",0,"-1/30*(10*b^2*d^2*x^2 + 15*b^2*c*d*x + 5*a*b*d^2*x + 6*b^2*c^2 + 3*a*b*c*d + a^2*d^2)/((b*x + a)^5*b^3)","A",0
1257,1,61,0,1.035531," ","integrate((d*x+c)^2/(b*x+a)^7,x, algorithm=""giac"")","-\frac{15 \, b^{2} d^{2} x^{2} + 24 \, b^{2} c d x + 6 \, a b d^{2} x + 10 \, b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}}{60 \, {\left(b x + a\right)}^{6} b^{3}}"," ",0,"-1/60*(15*b^2*d^2*x^2 + 24*b^2*c*d*x + 6*a*b*d^2*x + 10*b^2*c^2 + 4*a*b*c*d + a^2*d^2)/((b*x + a)^6*b^3)","A",0
1258,1,303,0,1.010689," ","integrate((b*x+a)^5*(d*x+c)^3,x, algorithm=""giac"")","\frac{1}{9} \, b^{5} d^{3} x^{9} + \frac{3}{8} \, b^{5} c d^{2} x^{8} + \frac{5}{8} \, a b^{4} d^{3} x^{8} + \frac{3}{7} \, b^{5} c^{2} d x^{7} + \frac{15}{7} \, a b^{4} c d^{2} x^{7} + \frac{10}{7} \, a^{2} b^{3} d^{3} x^{7} + \frac{1}{6} \, b^{5} c^{3} x^{6} + \frac{5}{2} \, a b^{4} c^{2} d x^{6} + 5 \, a^{2} b^{3} c d^{2} x^{6} + \frac{5}{3} \, a^{3} b^{2} d^{3} x^{6} + a b^{4} c^{3} x^{5} + 6 \, a^{2} b^{3} c^{2} d x^{5} + 6 \, a^{3} b^{2} c d^{2} x^{5} + a^{4} b d^{3} x^{5} + \frac{5}{2} \, a^{2} b^{3} c^{3} x^{4} + \frac{15}{2} \, a^{3} b^{2} c^{2} d x^{4} + \frac{15}{4} \, a^{4} b c d^{2} x^{4} + \frac{1}{4} \, a^{5} d^{3} x^{4} + \frac{10}{3} \, a^{3} b^{2} c^{3} x^{3} + 5 \, a^{4} b c^{2} d x^{3} + a^{5} c d^{2} x^{3} + \frac{5}{2} \, a^{4} b c^{3} x^{2} + \frac{3}{2} \, a^{5} c^{2} d x^{2} + a^{5} c^{3} x"," ",0,"1/9*b^5*d^3*x^9 + 3/8*b^5*c*d^2*x^8 + 5/8*a*b^4*d^3*x^8 + 3/7*b^5*c^2*d*x^7 + 15/7*a*b^4*c*d^2*x^7 + 10/7*a^2*b^3*d^3*x^7 + 1/6*b^5*c^3*x^6 + 5/2*a*b^4*c^2*d*x^6 + 5*a^2*b^3*c*d^2*x^6 + 5/3*a^3*b^2*d^3*x^6 + a*b^4*c^3*x^5 + 6*a^2*b^3*c^2*d*x^5 + 6*a^3*b^2*c*d^2*x^5 + a^4*b*d^3*x^5 + 5/2*a^2*b^3*c^3*x^4 + 15/2*a^3*b^2*c^2*d*x^4 + 15/4*a^4*b*c*d^2*x^4 + 1/4*a^5*d^3*x^4 + 10/3*a^3*b^2*c^3*x^3 + 5*a^4*b*c^2*d*x^3 + a^5*c*d^2*x^3 + 5/2*a^4*b*c^3*x^2 + 3/2*a^5*c^2*d*x^2 + a^5*c^3*x","B",0
1259,1,245,0,1.116222," ","integrate((b*x+a)^4*(d*x+c)^3,x, algorithm=""giac"")","\frac{1}{8} \, b^{4} d^{3} x^{8} + \frac{3}{7} \, b^{4} c d^{2} x^{7} + \frac{4}{7} \, a b^{3} d^{3} x^{7} + \frac{1}{2} \, b^{4} c^{2} d x^{6} + 2 \, a b^{3} c d^{2} x^{6} + a^{2} b^{2} d^{3} x^{6} + \frac{1}{5} \, b^{4} c^{3} x^{5} + \frac{12}{5} \, a b^{3} c^{2} d x^{5} + \frac{18}{5} \, a^{2} b^{2} c d^{2} x^{5} + \frac{4}{5} \, a^{3} b d^{3} x^{5} + a b^{3} c^{3} x^{4} + \frac{9}{2} \, a^{2} b^{2} c^{2} d x^{4} + 3 \, a^{3} b c d^{2} x^{4} + \frac{1}{4} \, a^{4} d^{3} x^{4} + 2 \, a^{2} b^{2} c^{3} x^{3} + 4 \, a^{3} b c^{2} d x^{3} + a^{4} c d^{2} x^{3} + 2 \, a^{3} b c^{3} x^{2} + \frac{3}{2} \, a^{4} c^{2} d x^{2} + a^{4} c^{3} x"," ",0,"1/8*b^4*d^3*x^8 + 3/7*b^4*c*d^2*x^7 + 4/7*a*b^3*d^3*x^7 + 1/2*b^4*c^2*d*x^6 + 2*a*b^3*c*d^2*x^6 + a^2*b^2*d^3*x^6 + 1/5*b^4*c^3*x^5 + 12/5*a*b^3*c^2*d*x^5 + 18/5*a^2*b^2*c*d^2*x^5 + 4/5*a^3*b*d^3*x^5 + a*b^3*c^3*x^4 + 9/2*a^2*b^2*c^2*d*x^4 + 3*a^3*b*c*d^2*x^4 + 1/4*a^4*d^3*x^4 + 2*a^2*b^2*c^3*x^3 + 4*a^3*b*c^2*d*x^3 + a^4*c*d^2*x^3 + 2*a^3*b*c^3*x^2 + 3/2*a^4*c^2*d*x^2 + a^4*c^3*x","B",0
1260,1,188,0,0.972647," ","integrate((b*x+a)^3*(d*x+c)^3,x, algorithm=""giac"")","\frac{1}{7} \, b^{3} d^{3} x^{7} + \frac{1}{2} \, b^{3} c d^{2} x^{6} + \frac{1}{2} \, a b^{2} d^{3} x^{6} + \frac{3}{5} \, b^{3} c^{2} d x^{5} + \frac{9}{5} \, a b^{2} c d^{2} x^{5} + \frac{3}{5} \, a^{2} b d^{3} x^{5} + \frac{1}{4} \, b^{3} c^{3} x^{4} + \frac{9}{4} \, a b^{2} c^{2} d x^{4} + \frac{9}{4} \, a^{2} b c d^{2} x^{4} + \frac{1}{4} \, a^{3} d^{3} x^{4} + a b^{2} c^{3} x^{3} + 3 \, a^{2} b c^{2} d x^{3} + a^{3} c d^{2} x^{3} + \frac{3}{2} \, a^{2} b c^{3} x^{2} + \frac{3}{2} \, a^{3} c^{2} d x^{2} + a^{3} c^{3} x"," ",0,"1/7*b^3*d^3*x^7 + 1/2*b^3*c*d^2*x^6 + 1/2*a*b^2*d^3*x^6 + 3/5*b^3*c^2*d*x^5 + 9/5*a*b^2*c*d^2*x^5 + 3/5*a^2*b*d^3*x^5 + 1/4*b^3*c^3*x^4 + 9/4*a*b^2*c^2*d*x^4 + 9/4*a^2*b*c*d^2*x^4 + 1/4*a^3*d^3*x^4 + a*b^2*c^3*x^3 + 3*a^2*b*c^2*d*x^3 + a^3*c*d^2*x^3 + 3/2*a^2*b*c^3*x^2 + 3/2*a^3*c^2*d*x^2 + a^3*c^3*x","B",0
1261,1,130,0,1.039219," ","integrate((b*x+a)^2*(d*x+c)^3,x, algorithm=""giac"")","\frac{1}{6} \, b^{2} d^{3} x^{6} + \frac{3}{5} \, b^{2} c d^{2} x^{5} + \frac{2}{5} \, a b d^{3} x^{5} + \frac{3}{4} \, b^{2} c^{2} d x^{4} + \frac{3}{2} \, a b c d^{2} x^{4} + \frac{1}{4} \, a^{2} d^{3} x^{4} + \frac{1}{3} \, b^{2} c^{3} x^{3} + 2 \, a b c^{2} d x^{3} + a^{2} c d^{2} x^{3} + a b c^{3} x^{2} + \frac{3}{2} \, a^{2} c^{2} d x^{2} + a^{2} c^{3} x"," ",0,"1/6*b^2*d^3*x^6 + 3/5*b^2*c*d^2*x^5 + 2/5*a*b*d^3*x^5 + 3/4*b^2*c^2*d*x^4 + 3/2*a*b*c*d^2*x^4 + 1/4*a^2*d^3*x^4 + 1/3*b^2*c^3*x^3 + 2*a*b*c^2*d*x^3 + a^2*c*d^2*x^3 + a*b*c^3*x^2 + 3/2*a^2*c^2*d*x^2 + a^2*c^3*x","B",0
1262,1,72,0,0.877232," ","integrate((b*x+a)*(d*x+c)^3,x, algorithm=""giac"")","\frac{1}{5} \, b d^{3} x^{5} + \frac{3}{4} \, b c d^{2} x^{4} + \frac{1}{4} \, a d^{3} x^{4} + b c^{2} d x^{3} + a c d^{2} x^{3} + \frac{1}{2} \, b c^{3} x^{2} + \frac{3}{2} \, a c^{2} d x^{2} + a c^{3} x"," ",0,"1/5*b*d^3*x^5 + 3/4*b*c*d^2*x^4 + 1/4*a*d^3*x^4 + b*c^2*d*x^3 + a*c*d^2*x^3 + 1/2*b*c^3*x^2 + 3/2*a*c^2*d*x^2 + a*c^3*x","B",0
1263,1,12,0,0.996684," ","integrate((d*x+c)^3,x, algorithm=""giac"")","\frac{{\left(d x + c\right)}^{4}}{4 \, d}"," ",0,"1/4*(d*x + c)^4/d","A",0
1264,1,115,0,1.030520," ","integrate((d*x+c)^3/(b*x+a),x, algorithm=""giac"")","\frac{2 \, b^{2} d^{3} x^{3} + 9 \, b^{2} c d^{2} x^{2} - 3 \, a b d^{3} x^{2} + 18 \, b^{2} c^{2} d x - 18 \, a b c d^{2} x + 6 \, a^{2} d^{3} x}{6 \, b^{3}} + \frac{{\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \log\left({\left| b x + a \right|}\right)}{b^{4}}"," ",0,"1/6*(2*b^2*d^3*x^3 + 9*b^2*c*d^2*x^2 - 3*a*b*d^3*x^2 + 18*b^2*c^2*d*x - 18*a*b*c*d^2*x + 6*a^2*d^3*x)/b^3 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*log(abs(b*x + a))/b^4","A",0
1265,1,167,0,0.990657," ","integrate((d*x+c)^3/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(d^{3} + \frac{6 \, {\left(b^{2} c d^{2} - a b d^{3}\right)}}{{\left(b x + a\right)} b}\right)} {\left(b x + a\right)}^{2}}{2 \, b^{4}} - \frac{3 \, {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{4}} - \frac{\frac{b^{5} c^{3}}{b x + a} - \frac{3 \, a b^{4} c^{2} d}{b x + a} + \frac{3 \, a^{2} b^{3} c d^{2}}{b x + a} - \frac{a^{3} b^{2} d^{3}}{b x + a}}{b^{6}}"," ",0,"1/2*(d^3 + 6*(b^2*c*d^2 - a*b*d^3)/((b*x + a)*b))*(b*x + a)^2/b^4 - 3*(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^4 - (b^5*c^3/(b*x + a) - 3*a*b^4*c^2*d/(b*x + a) + 3*a^2*b^3*c*d^2/(b*x + a) - a^3*b^2*d^3/(b*x + a))/b^6","B",0
1266,1,112,0,0.952382," ","integrate((d*x+c)^3/(b*x+a)^3,x, algorithm=""giac"")","\frac{d^{3} x}{b^{3}} + \frac{3 \, {\left(b c d^{2} - a d^{3}\right)} \log\left({\left| b x + a \right|}\right)}{b^{4}} - \frac{b^{3} c^{3} + 3 \, a b^{2} c^{2} d - 9 \, a^{2} b c d^{2} + 5 \, a^{3} d^{3} + 6 \, {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{4}}"," ",0,"d^3*x/b^3 + 3*(b*c*d^2 - a*d^3)*log(abs(b*x + a))/b^4 - 1/2*(b^3*c^3 + 3*a*b^2*c^2*d - 9*a^2*b*c*d^2 + 5*a^3*d^3 + 6*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*x)/((b*x + a)^2*b^4)","A",0
1267,1,118,0,0.943611," ","integrate((d*x+c)^3/(b*x+a)^4,x, algorithm=""giac"")","\frac{d^{3} \log\left({\left| b x + a \right|}\right)}{b^{4}} - \frac{18 \, {\left(b^{2} c d^{2} - a b d^{3}\right)} x^{2} + 9 \, {\left(b^{2} c^{2} d + 2 \, a b c d^{2} - 3 \, a^{2} d^{3}\right)} x + \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}}{b}}{6 \, {\left(b x + a\right)}^{3} b^{3}}"," ",0,"d^3*log(abs(b*x + a))/b^4 - 1/6*(18*(b^2*c*d^2 - a*b*d^3)*x^2 + 9*(b^2*c^2*d + 2*a*b*c*d^2 - 3*a^2*d^3)*x + (2*b^3*c^3 + 3*a*b^2*c^2*d + 6*a^2*b*c*d^2 - 11*a^3*d^3)/b)/((b*x + a)^3*b^3)","A",0
1268,1,159,0,0.965192," ","integrate((d*x+c)^3/(b*x+a)^5,x, algorithm=""giac"")","-\frac{\frac{b^{2} c^{3}}{{\left(b x + a\right)}^{4}} + \frac{4 \, b c^{2} d}{{\left(b x + a\right)}^{3}} - \frac{3 \, a b c^{2} d}{{\left(b x + a\right)}^{4}} + \frac{6 \, c d^{2}}{{\left(b x + a\right)}^{2}} - \frac{8 \, a c d^{2}}{{\left(b x + a\right)}^{3}} + \frac{3 \, a^{2} c d^{2}}{{\left(b x + a\right)}^{4}} + \frac{4 \, d^{3}}{{\left(b x + a\right)} b} - \frac{6 \, a d^{3}}{{\left(b x + a\right)}^{2} b} + \frac{4 \, a^{2} d^{3}}{{\left(b x + a\right)}^{3} b} - \frac{a^{3} d^{3}}{{\left(b x + a\right)}^{4} b}}{4 \, b^{3}}"," ",0,"-1/4*(b^2*c^3/(b*x + a)^4 + 4*b*c^2*d/(b*x + a)^3 - 3*a*b*c^2*d/(b*x + a)^4 + 6*c*d^2/(b*x + a)^2 - 8*a*c*d^2/(b*x + a)^3 + 3*a^2*c*d^2/(b*x + a)^4 + 4*d^3/((b*x + a)*b) - 6*a*d^3/((b*x + a)^2*b) + 4*a^2*d^3/((b*x + a)^3*b) - a^3*d^3/((b*x + a)^4*b))/b^3","B",0
1269,1,114,0,1.001023," ","integrate((d*x+c)^3/(b*x+a)^6,x, algorithm=""giac"")","-\frac{10 \, b^{3} d^{3} x^{3} + 20 \, b^{3} c d^{2} x^{2} + 10 \, a b^{2} d^{3} x^{2} + 15 \, b^{3} c^{2} d x + 10 \, a b^{2} c d^{2} x + 5 \, a^{2} b d^{3} x + 4 \, b^{3} c^{3} + 3 \, a b^{2} c^{2} d + 2 \, a^{2} b c d^{2} + a^{3} d^{3}}{20 \, {\left(b x + a\right)}^{5} b^{4}}"," ",0,"-1/20*(10*b^3*d^3*x^3 + 20*b^3*c*d^2*x^2 + 10*a*b^2*d^3*x^2 + 15*b^3*c^2*d*x + 10*a*b^2*c*d^2*x + 5*a^2*b*d^3*x + 4*b^3*c^3 + 3*a*b^2*c^2*d + 2*a^2*b*c*d^2 + a^3*d^3)/((b*x + a)^5*b^4)","B",0
1270,1,114,0,0.984729," ","integrate((d*x+c)^3/(b*x+a)^7,x, algorithm=""giac"")","-\frac{20 \, b^{3} d^{3} x^{3} + 45 \, b^{3} c d^{2} x^{2} + 15 \, a b^{2} d^{3} x^{2} + 36 \, b^{3} c^{2} d x + 18 \, a b^{2} c d^{2} x + 6 \, a^{2} b d^{3} x + 10 \, b^{3} c^{3} + 6 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} + a^{3} d^{3}}{60 \, {\left(b x + a\right)}^{6} b^{4}}"," ",0,"-1/60*(20*b^3*d^3*x^3 + 45*b^3*c*d^2*x^2 + 15*a*b^2*d^3*x^2 + 36*b^3*c^2*d*x + 18*a*b^2*c*d^2*x + 6*a^2*b*d^3*x + 10*b^3*c^3 + 6*a*b^2*c^2*d + 3*a^2*b*c*d^2 + a^3*d^3)/((b*x + a)^6*b^4)","A",0
1271,1,114,0,0.946642," ","integrate((d*x+c)^3/(b*x+a)^8,x, algorithm=""giac"")","-\frac{35 \, b^{3} d^{3} x^{3} + 84 \, b^{3} c d^{2} x^{2} + 21 \, a b^{2} d^{3} x^{2} + 70 \, b^{3} c^{2} d x + 28 \, a b^{2} c d^{2} x + 7 \, a^{2} b d^{3} x + 20 \, b^{3} c^{3} + 10 \, a b^{2} c^{2} d + 4 \, a^{2} b c d^{2} + a^{3} d^{3}}{140 \, {\left(b x + a\right)}^{7} b^{4}}"," ",0,"-1/140*(35*b^3*d^3*x^3 + 84*b^3*c*d^2*x^2 + 21*a*b^2*d^3*x^2 + 70*b^3*c^2*d*x + 28*a*b^2*c*d^2*x + 7*a^2*b*d^3*x + 20*b^3*c^3 + 10*a*b^2*c^2*d + 4*a^2*b*c*d^2 + a^3*d^3)/((b*x + a)^7*b^4)","A",0
1272,1,114,0,0.863512," ","integrate((d*x+c)^3/(b*x+a)^9,x, algorithm=""giac"")","-\frac{56 \, b^{3} d^{3} x^{3} + 140 \, b^{3} c d^{2} x^{2} + 28 \, a b^{2} d^{3} x^{2} + 120 \, b^{3} c^{2} d x + 40 \, a b^{2} c d^{2} x + 8 \, a^{2} b d^{3} x + 35 \, b^{3} c^{3} + 15 \, a b^{2} c^{2} d + 5 \, a^{2} b c d^{2} + a^{3} d^{3}}{280 \, {\left(b x + a\right)}^{8} b^{4}}"," ",0,"-1/280*(56*b^3*d^3*x^3 + 140*b^3*c*d^2*x^2 + 28*a*b^2*d^3*x^2 + 120*b^3*c^2*d*x + 40*a*b^2*c*d^2*x + 8*a^2*b*d^3*x + 35*b^3*c^3 + 15*a*b^2*c^2*d + 5*a^2*b*c*d^2 + a^3*d^3)/((b*x + a)^8*b^4)","A",0
1273,1,1175,0,1.046350," ","integrate((b*x+a)^9*(d*x+c)^7,x, algorithm=""giac"")","\frac{1}{17} \, b^{9} d^{7} x^{17} + \frac{7}{16} \, b^{9} c d^{6} x^{16} + \frac{9}{16} \, a b^{8} d^{7} x^{16} + \frac{7}{5} \, b^{9} c^{2} d^{5} x^{15} + \frac{21}{5} \, a b^{8} c d^{6} x^{15} + \frac{12}{5} \, a^{2} b^{7} d^{7} x^{15} + \frac{5}{2} \, b^{9} c^{3} d^{4} x^{14} + \frac{27}{2} \, a b^{8} c^{2} d^{5} x^{14} + 18 \, a^{2} b^{7} c d^{6} x^{14} + 6 \, a^{3} b^{6} d^{7} x^{14} + \frac{35}{13} \, b^{9} c^{4} d^{3} x^{13} + \frac{315}{13} \, a b^{8} c^{3} d^{4} x^{13} + \frac{756}{13} \, a^{2} b^{7} c^{2} d^{5} x^{13} + \frac{588}{13} \, a^{3} b^{6} c d^{6} x^{13} + \frac{126}{13} \, a^{4} b^{5} d^{7} x^{13} + \frac{7}{4} \, b^{9} c^{5} d^{2} x^{12} + \frac{105}{4} \, a b^{8} c^{4} d^{3} x^{12} + 105 \, a^{2} b^{7} c^{3} d^{4} x^{12} + 147 \, a^{3} b^{6} c^{2} d^{5} x^{12} + \frac{147}{2} \, a^{4} b^{5} c d^{6} x^{12} + \frac{21}{2} \, a^{5} b^{4} d^{7} x^{12} + \frac{7}{11} \, b^{9} c^{6} d x^{11} + \frac{189}{11} \, a b^{8} c^{5} d^{2} x^{11} + \frac{1260}{11} \, a^{2} b^{7} c^{4} d^{3} x^{11} + \frac{2940}{11} \, a^{3} b^{6} c^{3} d^{4} x^{11} + \frac{2646}{11} \, a^{4} b^{5} c^{2} d^{5} x^{11} + \frac{882}{11} \, a^{5} b^{4} c d^{6} x^{11} + \frac{84}{11} \, a^{6} b^{3} d^{7} x^{11} + \frac{1}{10} \, b^{9} c^{7} x^{10} + \frac{63}{10} \, a b^{8} c^{6} d x^{10} + \frac{378}{5} \, a^{2} b^{7} c^{5} d^{2} x^{10} + 294 \, a^{3} b^{6} c^{4} d^{3} x^{10} + 441 \, a^{4} b^{5} c^{3} d^{4} x^{10} + \frac{1323}{5} \, a^{5} b^{4} c^{2} d^{5} x^{10} + \frac{294}{5} \, a^{6} b^{3} c d^{6} x^{10} + \frac{18}{5} \, a^{7} b^{2} d^{7} x^{10} + a b^{8} c^{7} x^{9} + 28 \, a^{2} b^{7} c^{6} d x^{9} + 196 \, a^{3} b^{6} c^{5} d^{2} x^{9} + 490 \, a^{4} b^{5} c^{4} d^{3} x^{9} + 490 \, a^{5} b^{4} c^{3} d^{4} x^{9} + 196 \, a^{6} b^{3} c^{2} d^{5} x^{9} + 28 \, a^{7} b^{2} c d^{6} x^{9} + a^{8} b d^{7} x^{9} + \frac{9}{2} \, a^{2} b^{7} c^{7} x^{8} + \frac{147}{2} \, a^{3} b^{6} c^{6} d x^{8} + \frac{1323}{4} \, a^{4} b^{5} c^{5} d^{2} x^{8} + \frac{2205}{4} \, a^{5} b^{4} c^{4} d^{3} x^{8} + \frac{735}{2} \, a^{6} b^{3} c^{3} d^{4} x^{8} + \frac{189}{2} \, a^{7} b^{2} c^{2} d^{5} x^{8} + \frac{63}{8} \, a^{8} b c d^{6} x^{8} + \frac{1}{8} \, a^{9} d^{7} x^{8} + 12 \, a^{3} b^{6} c^{7} x^{7} + 126 \, a^{4} b^{5} c^{6} d x^{7} + 378 \, a^{5} b^{4} c^{5} d^{2} x^{7} + 420 \, a^{6} b^{3} c^{4} d^{3} x^{7} + 180 \, a^{7} b^{2} c^{3} d^{4} x^{7} + 27 \, a^{8} b c^{2} d^{5} x^{7} + a^{9} c d^{6} x^{7} + 21 \, a^{4} b^{5} c^{7} x^{6} + 147 \, a^{5} b^{4} c^{6} d x^{6} + 294 \, a^{6} b^{3} c^{5} d^{2} x^{6} + 210 \, a^{7} b^{2} c^{4} d^{3} x^{6} + \frac{105}{2} \, a^{8} b c^{3} d^{4} x^{6} + \frac{7}{2} \, a^{9} c^{2} d^{5} x^{6} + \frac{126}{5} \, a^{5} b^{4} c^{7} x^{5} + \frac{588}{5} \, a^{6} b^{3} c^{6} d x^{5} + \frac{756}{5} \, a^{7} b^{2} c^{5} d^{2} x^{5} + 63 \, a^{8} b c^{4} d^{3} x^{5} + 7 \, a^{9} c^{3} d^{4} x^{5} + 21 \, a^{6} b^{3} c^{7} x^{4} + 63 \, a^{7} b^{2} c^{6} d x^{4} + \frac{189}{4} \, a^{8} b c^{5} d^{2} x^{4} + \frac{35}{4} \, a^{9} c^{4} d^{3} x^{4} + 12 \, a^{7} b^{2} c^{7} x^{3} + 21 \, a^{8} b c^{6} d x^{3} + 7 \, a^{9} c^{5} d^{2} x^{3} + \frac{9}{2} \, a^{8} b c^{7} x^{2} + \frac{7}{2} \, a^{9} c^{6} d x^{2} + a^{9} c^{7} x"," ",0,"1/17*b^9*d^7*x^17 + 7/16*b^9*c*d^6*x^16 + 9/16*a*b^8*d^7*x^16 + 7/5*b^9*c^2*d^5*x^15 + 21/5*a*b^8*c*d^6*x^15 + 12/5*a^2*b^7*d^7*x^15 + 5/2*b^9*c^3*d^4*x^14 + 27/2*a*b^8*c^2*d^5*x^14 + 18*a^2*b^7*c*d^6*x^14 + 6*a^3*b^6*d^7*x^14 + 35/13*b^9*c^4*d^3*x^13 + 315/13*a*b^8*c^3*d^4*x^13 + 756/13*a^2*b^7*c^2*d^5*x^13 + 588/13*a^3*b^6*c*d^6*x^13 + 126/13*a^4*b^5*d^7*x^13 + 7/4*b^9*c^5*d^2*x^12 + 105/4*a*b^8*c^4*d^3*x^12 + 105*a^2*b^7*c^3*d^4*x^12 + 147*a^3*b^6*c^2*d^5*x^12 + 147/2*a^4*b^5*c*d^6*x^12 + 21/2*a^5*b^4*d^7*x^12 + 7/11*b^9*c^6*d*x^11 + 189/11*a*b^8*c^5*d^2*x^11 + 1260/11*a^2*b^7*c^4*d^3*x^11 + 2940/11*a^3*b^6*c^3*d^4*x^11 + 2646/11*a^4*b^5*c^2*d^5*x^11 + 882/11*a^5*b^4*c*d^6*x^11 + 84/11*a^6*b^3*d^7*x^11 + 1/10*b^9*c^7*x^10 + 63/10*a*b^8*c^6*d*x^10 + 378/5*a^2*b^7*c^5*d^2*x^10 + 294*a^3*b^6*c^4*d^3*x^10 + 441*a^4*b^5*c^3*d^4*x^10 + 1323/5*a^5*b^4*c^2*d^5*x^10 + 294/5*a^6*b^3*c*d^6*x^10 + 18/5*a^7*b^2*d^7*x^10 + a*b^8*c^7*x^9 + 28*a^2*b^7*c^6*d*x^9 + 196*a^3*b^6*c^5*d^2*x^9 + 490*a^4*b^5*c^4*d^3*x^9 + 490*a^5*b^4*c^3*d^4*x^9 + 196*a^6*b^3*c^2*d^5*x^9 + 28*a^7*b^2*c*d^6*x^9 + a^8*b*d^7*x^9 + 9/2*a^2*b^7*c^7*x^8 + 147/2*a^3*b^6*c^6*d*x^8 + 1323/4*a^4*b^5*c^5*d^2*x^8 + 2205/4*a^5*b^4*c^4*d^3*x^8 + 735/2*a^6*b^3*c^3*d^4*x^8 + 189/2*a^7*b^2*c^2*d^5*x^8 + 63/8*a^8*b*c*d^6*x^8 + 1/8*a^9*d^7*x^8 + 12*a^3*b^6*c^7*x^7 + 126*a^4*b^5*c^6*d*x^7 + 378*a^5*b^4*c^5*d^2*x^7 + 420*a^6*b^3*c^4*d^3*x^7 + 180*a^7*b^2*c^3*d^4*x^7 + 27*a^8*b*c^2*d^5*x^7 + a^9*c*d^6*x^7 + 21*a^4*b^5*c^7*x^6 + 147*a^5*b^4*c^6*d*x^6 + 294*a^6*b^3*c^5*d^2*x^6 + 210*a^7*b^2*c^4*d^3*x^6 + 105/2*a^8*b*c^3*d^4*x^6 + 7/2*a^9*c^2*d^5*x^6 + 126/5*a^5*b^4*c^7*x^5 + 588/5*a^6*b^3*c^6*d*x^5 + 756/5*a^7*b^2*c^5*d^2*x^5 + 63*a^8*b*c^4*d^3*x^5 + 7*a^9*c^3*d^4*x^5 + 21*a^6*b^3*c^7*x^4 + 63*a^7*b^2*c^6*d*x^4 + 189/4*a^8*b*c^5*d^2*x^4 + 35/4*a^9*c^4*d^3*x^4 + 12*a^7*b^2*c^7*x^3 + 21*a^8*b*c^6*d*x^3 + 7*a^9*c^5*d^2*x^3 + 9/2*a^8*b*c^7*x^2 + 7/2*a^9*c^6*d*x^2 + a^9*c^7*x","B",0
1274,1,1050,0,1.006256," ","integrate((b*x+a)^8*(d*x+c)^7,x, algorithm=""giac"")","\frac{1}{16} \, b^{8} d^{7} x^{16} + \frac{7}{15} \, b^{8} c d^{6} x^{15} + \frac{8}{15} \, a b^{7} d^{7} x^{15} + \frac{3}{2} \, b^{8} c^{2} d^{5} x^{14} + 4 \, a b^{7} c d^{6} x^{14} + 2 \, a^{2} b^{6} d^{7} x^{14} + \frac{35}{13} \, b^{8} c^{3} d^{4} x^{13} + \frac{168}{13} \, a b^{7} c^{2} d^{5} x^{13} + \frac{196}{13} \, a^{2} b^{6} c d^{6} x^{13} + \frac{56}{13} \, a^{3} b^{5} d^{7} x^{13} + \frac{35}{12} \, b^{8} c^{4} d^{3} x^{12} + \frac{70}{3} \, a b^{7} c^{3} d^{4} x^{12} + 49 \, a^{2} b^{6} c^{2} d^{5} x^{12} + \frac{98}{3} \, a^{3} b^{5} c d^{6} x^{12} + \frac{35}{6} \, a^{4} b^{4} d^{7} x^{12} + \frac{21}{11} \, b^{8} c^{5} d^{2} x^{11} + \frac{280}{11} \, a b^{7} c^{4} d^{3} x^{11} + \frac{980}{11} \, a^{2} b^{6} c^{3} d^{4} x^{11} + \frac{1176}{11} \, a^{3} b^{5} c^{2} d^{5} x^{11} + \frac{490}{11} \, a^{4} b^{4} c d^{6} x^{11} + \frac{56}{11} \, a^{5} b^{3} d^{7} x^{11} + \frac{7}{10} \, b^{8} c^{6} d x^{10} + \frac{84}{5} \, a b^{7} c^{5} d^{2} x^{10} + 98 \, a^{2} b^{6} c^{4} d^{3} x^{10} + 196 \, a^{3} b^{5} c^{3} d^{4} x^{10} + 147 \, a^{4} b^{4} c^{2} d^{5} x^{10} + \frac{196}{5} \, a^{5} b^{3} c d^{6} x^{10} + \frac{14}{5} \, a^{6} b^{2} d^{7} x^{10} + \frac{1}{9} \, b^{8} c^{7} x^{9} + \frac{56}{9} \, a b^{7} c^{6} d x^{9} + \frac{196}{3} \, a^{2} b^{6} c^{5} d^{2} x^{9} + \frac{1960}{9} \, a^{3} b^{5} c^{4} d^{3} x^{9} + \frac{2450}{9} \, a^{4} b^{4} c^{3} d^{4} x^{9} + \frac{392}{3} \, a^{5} b^{3} c^{2} d^{5} x^{9} + \frac{196}{9} \, a^{6} b^{2} c d^{6} x^{9} + \frac{8}{9} \, a^{7} b d^{7} x^{9} + a b^{7} c^{7} x^{8} + \frac{49}{2} \, a^{2} b^{6} c^{6} d x^{8} + 147 \, a^{3} b^{5} c^{5} d^{2} x^{8} + \frac{1225}{4} \, a^{4} b^{4} c^{4} d^{3} x^{8} + 245 \, a^{5} b^{3} c^{3} d^{4} x^{8} + \frac{147}{2} \, a^{6} b^{2} c^{2} d^{5} x^{8} + 7 \, a^{7} b c d^{6} x^{8} + \frac{1}{8} \, a^{8} d^{7} x^{8} + 4 \, a^{2} b^{6} c^{7} x^{7} + 56 \, a^{3} b^{5} c^{6} d x^{7} + 210 \, a^{4} b^{4} c^{5} d^{2} x^{7} + 280 \, a^{5} b^{3} c^{4} d^{3} x^{7} + 140 \, a^{6} b^{2} c^{3} d^{4} x^{7} + 24 \, a^{7} b c^{2} d^{5} x^{7} + a^{8} c d^{6} x^{7} + \frac{28}{3} \, a^{3} b^{5} c^{7} x^{6} + \frac{245}{3} \, a^{4} b^{4} c^{6} d x^{6} + 196 \, a^{5} b^{3} c^{5} d^{2} x^{6} + \frac{490}{3} \, a^{6} b^{2} c^{4} d^{3} x^{6} + \frac{140}{3} \, a^{7} b c^{3} d^{4} x^{6} + \frac{7}{2} \, a^{8} c^{2} d^{5} x^{6} + 14 \, a^{4} b^{4} c^{7} x^{5} + \frac{392}{5} \, a^{5} b^{3} c^{6} d x^{5} + \frac{588}{5} \, a^{6} b^{2} c^{5} d^{2} x^{5} + 56 \, a^{7} b c^{4} d^{3} x^{5} + 7 \, a^{8} c^{3} d^{4} x^{5} + 14 \, a^{5} b^{3} c^{7} x^{4} + 49 \, a^{6} b^{2} c^{6} d x^{4} + 42 \, a^{7} b c^{5} d^{2} x^{4} + \frac{35}{4} \, a^{8} c^{4} d^{3} x^{4} + \frac{28}{3} \, a^{6} b^{2} c^{7} x^{3} + \frac{56}{3} \, a^{7} b c^{6} d x^{3} + 7 \, a^{8} c^{5} d^{2} x^{3} + 4 \, a^{7} b c^{7} x^{2} + \frac{7}{2} \, a^{8} c^{6} d x^{2} + a^{8} c^{7} x"," ",0,"1/16*b^8*d^7*x^16 + 7/15*b^8*c*d^6*x^15 + 8/15*a*b^7*d^7*x^15 + 3/2*b^8*c^2*d^5*x^14 + 4*a*b^7*c*d^6*x^14 + 2*a^2*b^6*d^7*x^14 + 35/13*b^8*c^3*d^4*x^13 + 168/13*a*b^7*c^2*d^5*x^13 + 196/13*a^2*b^6*c*d^6*x^13 + 56/13*a^3*b^5*d^7*x^13 + 35/12*b^8*c^4*d^3*x^12 + 70/3*a*b^7*c^3*d^4*x^12 + 49*a^2*b^6*c^2*d^5*x^12 + 98/3*a^3*b^5*c*d^6*x^12 + 35/6*a^4*b^4*d^7*x^12 + 21/11*b^8*c^5*d^2*x^11 + 280/11*a*b^7*c^4*d^3*x^11 + 980/11*a^2*b^6*c^3*d^4*x^11 + 1176/11*a^3*b^5*c^2*d^5*x^11 + 490/11*a^4*b^4*c*d^6*x^11 + 56/11*a^5*b^3*d^7*x^11 + 7/10*b^8*c^6*d*x^10 + 84/5*a*b^7*c^5*d^2*x^10 + 98*a^2*b^6*c^4*d^3*x^10 + 196*a^3*b^5*c^3*d^4*x^10 + 147*a^4*b^4*c^2*d^5*x^10 + 196/5*a^5*b^3*c*d^6*x^10 + 14/5*a^6*b^2*d^7*x^10 + 1/9*b^8*c^7*x^9 + 56/9*a*b^7*c^6*d*x^9 + 196/3*a^2*b^6*c^5*d^2*x^9 + 1960/9*a^3*b^5*c^4*d^3*x^9 + 2450/9*a^4*b^4*c^3*d^4*x^9 + 392/3*a^5*b^3*c^2*d^5*x^9 + 196/9*a^6*b^2*c*d^6*x^9 + 8/9*a^7*b*d^7*x^9 + a*b^7*c^7*x^8 + 49/2*a^2*b^6*c^6*d*x^8 + 147*a^3*b^5*c^5*d^2*x^8 + 1225/4*a^4*b^4*c^4*d^3*x^8 + 245*a^5*b^3*c^3*d^4*x^8 + 147/2*a^6*b^2*c^2*d^5*x^8 + 7*a^7*b*c*d^6*x^8 + 1/8*a^8*d^7*x^8 + 4*a^2*b^6*c^7*x^7 + 56*a^3*b^5*c^6*d*x^7 + 210*a^4*b^4*c^5*d^2*x^7 + 280*a^5*b^3*c^4*d^3*x^7 + 140*a^6*b^2*c^3*d^4*x^7 + 24*a^7*b*c^2*d^5*x^7 + a^8*c*d^6*x^7 + 28/3*a^3*b^5*c^7*x^6 + 245/3*a^4*b^4*c^6*d*x^6 + 196*a^5*b^3*c^5*d^2*x^6 + 490/3*a^6*b^2*c^4*d^3*x^6 + 140/3*a^7*b*c^3*d^4*x^6 + 7/2*a^8*c^2*d^5*x^6 + 14*a^4*b^4*c^7*x^5 + 392/5*a^5*b^3*c^6*d*x^5 + 588/5*a^6*b^2*c^5*d^2*x^5 + 56*a^7*b*c^4*d^3*x^5 + 7*a^8*c^3*d^4*x^5 + 14*a^5*b^3*c^7*x^4 + 49*a^6*b^2*c^6*d*x^4 + 42*a^7*b*c^5*d^2*x^4 + 35/4*a^8*c^4*d^3*x^4 + 28/3*a^6*b^2*c^7*x^3 + 56/3*a^7*b*c^6*d*x^3 + 7*a^8*c^5*d^2*x^3 + 4*a^7*b*c^7*x^2 + 7/2*a^8*c^6*d*x^2 + a^8*c^7*x","B",0
1275,1,924,0,1.009362," ","integrate((b*x+a)^7*(d*x+c)^7,x, algorithm=""giac"")","\frac{1}{15} \, b^{7} d^{7} x^{15} + \frac{1}{2} \, b^{7} c d^{6} x^{14} + \frac{1}{2} \, a b^{6} d^{7} x^{14} + \frac{21}{13} \, b^{7} c^{2} d^{5} x^{13} + \frac{49}{13} \, a b^{6} c d^{6} x^{13} + \frac{21}{13} \, a^{2} b^{5} d^{7} x^{13} + \frac{35}{12} \, b^{7} c^{3} d^{4} x^{12} + \frac{49}{4} \, a b^{6} c^{2} d^{5} x^{12} + \frac{49}{4} \, a^{2} b^{5} c d^{6} x^{12} + \frac{35}{12} \, a^{3} b^{4} d^{7} x^{12} + \frac{35}{11} \, b^{7} c^{4} d^{3} x^{11} + \frac{245}{11} \, a b^{6} c^{3} d^{4} x^{11} + \frac{441}{11} \, a^{2} b^{5} c^{2} d^{5} x^{11} + \frac{245}{11} \, a^{3} b^{4} c d^{6} x^{11} + \frac{35}{11} \, a^{4} b^{3} d^{7} x^{11} + \frac{21}{10} \, b^{7} c^{5} d^{2} x^{10} + \frac{49}{2} \, a b^{6} c^{4} d^{3} x^{10} + \frac{147}{2} \, a^{2} b^{5} c^{3} d^{4} x^{10} + \frac{147}{2} \, a^{3} b^{4} c^{2} d^{5} x^{10} + \frac{49}{2} \, a^{4} b^{3} c d^{6} x^{10} + \frac{21}{10} \, a^{5} b^{2} d^{7} x^{10} + \frac{7}{9} \, b^{7} c^{6} d x^{9} + \frac{49}{3} \, a b^{6} c^{5} d^{2} x^{9} + \frac{245}{3} \, a^{2} b^{5} c^{4} d^{3} x^{9} + \frac{1225}{9} \, a^{3} b^{4} c^{3} d^{4} x^{9} + \frac{245}{3} \, a^{4} b^{3} c^{2} d^{5} x^{9} + \frac{49}{3} \, a^{5} b^{2} c d^{6} x^{9} + \frac{7}{9} \, a^{6} b d^{7} x^{9} + \frac{1}{8} \, b^{7} c^{7} x^{8} + \frac{49}{8} \, a b^{6} c^{6} d x^{8} + \frac{441}{8} \, a^{2} b^{5} c^{5} d^{2} x^{8} + \frac{1225}{8} \, a^{3} b^{4} c^{4} d^{3} x^{8} + \frac{1225}{8} \, a^{4} b^{3} c^{3} d^{4} x^{8} + \frac{441}{8} \, a^{5} b^{2} c^{2} d^{5} x^{8} + \frac{49}{8} \, a^{6} b c d^{6} x^{8} + \frac{1}{8} \, a^{7} d^{7} x^{8} + a b^{6} c^{7} x^{7} + 21 \, a^{2} b^{5} c^{6} d x^{7} + 105 \, a^{3} b^{4} c^{5} d^{2} x^{7} + 175 \, a^{4} b^{3} c^{4} d^{3} x^{7} + 105 \, a^{5} b^{2} c^{3} d^{4} x^{7} + 21 \, a^{6} b c^{2} d^{5} x^{7} + a^{7} c d^{6} x^{7} + \frac{7}{2} \, a^{2} b^{5} c^{7} x^{6} + \frac{245}{6} \, a^{3} b^{4} c^{6} d x^{6} + \frac{245}{2} \, a^{4} b^{3} c^{5} d^{2} x^{6} + \frac{245}{2} \, a^{5} b^{2} c^{4} d^{3} x^{6} + \frac{245}{6} \, a^{6} b c^{3} d^{4} x^{6} + \frac{7}{2} \, a^{7} c^{2} d^{5} x^{6} + 7 \, a^{3} b^{4} c^{7} x^{5} + 49 \, a^{4} b^{3} c^{6} d x^{5} + \frac{441}{5} \, a^{5} b^{2} c^{5} d^{2} x^{5} + 49 \, a^{6} b c^{4} d^{3} x^{5} + 7 \, a^{7} c^{3} d^{4} x^{5} + \frac{35}{4} \, a^{4} b^{3} c^{7} x^{4} + \frac{147}{4} \, a^{5} b^{2} c^{6} d x^{4} + \frac{147}{4} \, a^{6} b c^{5} d^{2} x^{4} + \frac{35}{4} \, a^{7} c^{4} d^{3} x^{4} + 7 \, a^{5} b^{2} c^{7} x^{3} + \frac{49}{3} \, a^{6} b c^{6} d x^{3} + 7 \, a^{7} c^{5} d^{2} x^{3} + \frac{7}{2} \, a^{6} b c^{7} x^{2} + \frac{7}{2} \, a^{7} c^{6} d x^{2} + a^{7} c^{7} x"," ",0,"1/15*b^7*d^7*x^15 + 1/2*b^7*c*d^6*x^14 + 1/2*a*b^6*d^7*x^14 + 21/13*b^7*c^2*d^5*x^13 + 49/13*a*b^6*c*d^6*x^13 + 21/13*a^2*b^5*d^7*x^13 + 35/12*b^7*c^3*d^4*x^12 + 49/4*a*b^6*c^2*d^5*x^12 + 49/4*a^2*b^5*c*d^6*x^12 + 35/12*a^3*b^4*d^7*x^12 + 35/11*b^7*c^4*d^3*x^11 + 245/11*a*b^6*c^3*d^4*x^11 + 441/11*a^2*b^5*c^2*d^5*x^11 + 245/11*a^3*b^4*c*d^6*x^11 + 35/11*a^4*b^3*d^7*x^11 + 21/10*b^7*c^5*d^2*x^10 + 49/2*a*b^6*c^4*d^3*x^10 + 147/2*a^2*b^5*c^3*d^4*x^10 + 147/2*a^3*b^4*c^2*d^5*x^10 + 49/2*a^4*b^3*c*d^6*x^10 + 21/10*a^5*b^2*d^7*x^10 + 7/9*b^7*c^6*d*x^9 + 49/3*a*b^6*c^5*d^2*x^9 + 245/3*a^2*b^5*c^4*d^3*x^9 + 1225/9*a^3*b^4*c^3*d^4*x^9 + 245/3*a^4*b^3*c^2*d^5*x^9 + 49/3*a^5*b^2*c*d^6*x^9 + 7/9*a^6*b*d^7*x^9 + 1/8*b^7*c^7*x^8 + 49/8*a*b^6*c^6*d*x^8 + 441/8*a^2*b^5*c^5*d^2*x^8 + 1225/8*a^3*b^4*c^4*d^3*x^8 + 1225/8*a^4*b^3*c^3*d^4*x^8 + 441/8*a^5*b^2*c^2*d^5*x^8 + 49/8*a^6*b*c*d^6*x^8 + 1/8*a^7*d^7*x^8 + a*b^6*c^7*x^7 + 21*a^2*b^5*c^6*d*x^7 + 105*a^3*b^4*c^5*d^2*x^7 + 175*a^4*b^3*c^4*d^3*x^7 + 105*a^5*b^2*c^3*d^4*x^7 + 21*a^6*b*c^2*d^5*x^7 + a^7*c*d^6*x^7 + 7/2*a^2*b^5*c^7*x^6 + 245/6*a^3*b^4*c^6*d*x^6 + 245/2*a^4*b^3*c^5*d^2*x^6 + 245/2*a^5*b^2*c^4*d^3*x^6 + 245/6*a^6*b*c^3*d^4*x^6 + 7/2*a^7*c^2*d^5*x^6 + 7*a^3*b^4*c^7*x^5 + 49*a^4*b^3*c^6*d*x^5 + 441/5*a^5*b^2*c^5*d^2*x^5 + 49*a^6*b*c^4*d^3*x^5 + 7*a^7*c^3*d^4*x^5 + 35/4*a^4*b^3*c^7*x^4 + 147/4*a^5*b^2*c^6*d*x^4 + 147/4*a^6*b*c^5*d^2*x^4 + 35/4*a^7*c^4*d^3*x^4 + 7*a^5*b^2*c^7*x^3 + 49/3*a^6*b*c^6*d*x^3 + 7*a^7*c^5*d^2*x^3 + 7/2*a^6*b*c^7*x^2 + 7/2*a^7*c^6*d*x^2 + a^7*c^7*x","B",0
1276,1,798,0,0.952982," ","integrate((b*x+a)^6*(d*x+c)^7,x, algorithm=""giac"")","\frac{1}{14} \, b^{6} d^{7} x^{14} + \frac{7}{13} \, b^{6} c d^{6} x^{13} + \frac{6}{13} \, a b^{5} d^{7} x^{13} + \frac{7}{4} \, b^{6} c^{2} d^{5} x^{12} + \frac{7}{2} \, a b^{5} c d^{6} x^{12} + \frac{5}{4} \, a^{2} b^{4} d^{7} x^{12} + \frac{35}{11} \, b^{6} c^{3} d^{4} x^{11} + \frac{126}{11} \, a b^{5} c^{2} d^{5} x^{11} + \frac{105}{11} \, a^{2} b^{4} c d^{6} x^{11} + \frac{20}{11} \, a^{3} b^{3} d^{7} x^{11} + \frac{7}{2} \, b^{6} c^{4} d^{3} x^{10} + 21 \, a b^{5} c^{3} d^{4} x^{10} + \frac{63}{2} \, a^{2} b^{4} c^{2} d^{5} x^{10} + 14 \, a^{3} b^{3} c d^{6} x^{10} + \frac{3}{2} \, a^{4} b^{2} d^{7} x^{10} + \frac{7}{3} \, b^{6} c^{5} d^{2} x^{9} + \frac{70}{3} \, a b^{5} c^{4} d^{3} x^{9} + \frac{175}{3} \, a^{2} b^{4} c^{3} d^{4} x^{9} + \frac{140}{3} \, a^{3} b^{3} c^{2} d^{5} x^{9} + \frac{35}{3} \, a^{4} b^{2} c d^{6} x^{9} + \frac{2}{3} \, a^{5} b d^{7} x^{9} + \frac{7}{8} \, b^{6} c^{6} d x^{8} + \frac{63}{4} \, a b^{5} c^{5} d^{2} x^{8} + \frac{525}{8} \, a^{2} b^{4} c^{4} d^{3} x^{8} + \frac{175}{2} \, a^{3} b^{3} c^{3} d^{4} x^{8} + \frac{315}{8} \, a^{4} b^{2} c^{2} d^{5} x^{8} + \frac{21}{4} \, a^{5} b c d^{6} x^{8} + \frac{1}{8} \, a^{6} d^{7} x^{8} + \frac{1}{7} \, b^{6} c^{7} x^{7} + 6 \, a b^{5} c^{6} d x^{7} + 45 \, a^{2} b^{4} c^{5} d^{2} x^{7} + 100 \, a^{3} b^{3} c^{4} d^{3} x^{7} + 75 \, a^{4} b^{2} c^{3} d^{4} x^{7} + 18 \, a^{5} b c^{2} d^{5} x^{7} + a^{6} c d^{6} x^{7} + a b^{5} c^{7} x^{6} + \frac{35}{2} \, a^{2} b^{4} c^{6} d x^{6} + 70 \, a^{3} b^{3} c^{5} d^{2} x^{6} + \frac{175}{2} \, a^{4} b^{2} c^{4} d^{3} x^{6} + 35 \, a^{5} b c^{3} d^{4} x^{6} + \frac{7}{2} \, a^{6} c^{2} d^{5} x^{6} + 3 \, a^{2} b^{4} c^{7} x^{5} + 28 \, a^{3} b^{3} c^{6} d x^{5} + 63 \, a^{4} b^{2} c^{5} d^{2} x^{5} + 42 \, a^{5} b c^{4} d^{3} x^{5} + 7 \, a^{6} c^{3} d^{4} x^{5} + 5 \, a^{3} b^{3} c^{7} x^{4} + \frac{105}{4} \, a^{4} b^{2} c^{6} d x^{4} + \frac{63}{2} \, a^{5} b c^{5} d^{2} x^{4} + \frac{35}{4} \, a^{6} c^{4} d^{3} x^{4} + 5 \, a^{4} b^{2} c^{7} x^{3} + 14 \, a^{5} b c^{6} d x^{3} + 7 \, a^{6} c^{5} d^{2} x^{3} + 3 \, a^{5} b c^{7} x^{2} + \frac{7}{2} \, a^{6} c^{6} d x^{2} + a^{6} c^{7} x"," ",0,"1/14*b^6*d^7*x^14 + 7/13*b^6*c*d^6*x^13 + 6/13*a*b^5*d^7*x^13 + 7/4*b^6*c^2*d^5*x^12 + 7/2*a*b^5*c*d^6*x^12 + 5/4*a^2*b^4*d^7*x^12 + 35/11*b^6*c^3*d^4*x^11 + 126/11*a*b^5*c^2*d^5*x^11 + 105/11*a^2*b^4*c*d^6*x^11 + 20/11*a^3*b^3*d^7*x^11 + 7/2*b^6*c^4*d^3*x^10 + 21*a*b^5*c^3*d^4*x^10 + 63/2*a^2*b^4*c^2*d^5*x^10 + 14*a^3*b^3*c*d^6*x^10 + 3/2*a^4*b^2*d^7*x^10 + 7/3*b^6*c^5*d^2*x^9 + 70/3*a*b^5*c^4*d^3*x^9 + 175/3*a^2*b^4*c^3*d^4*x^9 + 140/3*a^3*b^3*c^2*d^5*x^9 + 35/3*a^4*b^2*c*d^6*x^9 + 2/3*a^5*b*d^7*x^9 + 7/8*b^6*c^6*d*x^8 + 63/4*a*b^5*c^5*d^2*x^8 + 525/8*a^2*b^4*c^4*d^3*x^8 + 175/2*a^3*b^3*c^3*d^4*x^8 + 315/8*a^4*b^2*c^2*d^5*x^8 + 21/4*a^5*b*c*d^6*x^8 + 1/8*a^6*d^7*x^8 + 1/7*b^6*c^7*x^7 + 6*a*b^5*c^6*d*x^7 + 45*a^2*b^4*c^5*d^2*x^7 + 100*a^3*b^3*c^4*d^3*x^7 + 75*a^4*b^2*c^3*d^4*x^7 + 18*a^5*b*c^2*d^5*x^7 + a^6*c*d^6*x^7 + a*b^5*c^7*x^6 + 35/2*a^2*b^4*c^6*d*x^6 + 70*a^3*b^3*c^5*d^2*x^6 + 175/2*a^4*b^2*c^4*d^3*x^6 + 35*a^5*b*c^3*d^4*x^6 + 7/2*a^6*c^2*d^5*x^6 + 3*a^2*b^4*c^7*x^5 + 28*a^3*b^3*c^6*d*x^5 + 63*a^4*b^2*c^5*d^2*x^5 + 42*a^5*b*c^4*d^3*x^5 + 7*a^6*c^3*d^4*x^5 + 5*a^3*b^3*c^7*x^4 + 105/4*a^4*b^2*c^6*d*x^4 + 63/2*a^5*b*c^5*d^2*x^4 + 35/4*a^6*c^4*d^3*x^4 + 5*a^4*b^2*c^7*x^3 + 14*a^5*b*c^6*d*x^3 + 7*a^6*c^5*d^2*x^3 + 3*a^5*b*c^7*x^2 + 7/2*a^6*c^6*d*x^2 + a^6*c^7*x","B",0
1277,1,670,0,1.278905," ","integrate((b*x+a)^5*(d*x+c)^7,x, algorithm=""giac"")","\frac{1}{13} \, b^{5} d^{7} x^{13} + \frac{7}{12} \, b^{5} c d^{6} x^{12} + \frac{5}{12} \, a b^{4} d^{7} x^{12} + \frac{21}{11} \, b^{5} c^{2} d^{5} x^{11} + \frac{35}{11} \, a b^{4} c d^{6} x^{11} + \frac{10}{11} \, a^{2} b^{3} d^{7} x^{11} + \frac{7}{2} \, b^{5} c^{3} d^{4} x^{10} + \frac{21}{2} \, a b^{4} c^{2} d^{5} x^{10} + 7 \, a^{2} b^{3} c d^{6} x^{10} + a^{3} b^{2} d^{7} x^{10} + \frac{35}{9} \, b^{5} c^{4} d^{3} x^{9} + \frac{175}{9} \, a b^{4} c^{3} d^{4} x^{9} + \frac{70}{3} \, a^{2} b^{3} c^{2} d^{5} x^{9} + \frac{70}{9} \, a^{3} b^{2} c d^{6} x^{9} + \frac{5}{9} \, a^{4} b d^{7} x^{9} + \frac{21}{8} \, b^{5} c^{5} d^{2} x^{8} + \frac{175}{8} \, a b^{4} c^{4} d^{3} x^{8} + \frac{175}{4} \, a^{2} b^{3} c^{3} d^{4} x^{8} + \frac{105}{4} \, a^{3} b^{2} c^{2} d^{5} x^{8} + \frac{35}{8} \, a^{4} b c d^{6} x^{8} + \frac{1}{8} \, a^{5} d^{7} x^{8} + b^{5} c^{6} d x^{7} + 15 \, a b^{4} c^{5} d^{2} x^{7} + 50 \, a^{2} b^{3} c^{4} d^{3} x^{7} + 50 \, a^{3} b^{2} c^{3} d^{4} x^{7} + 15 \, a^{4} b c^{2} d^{5} x^{7} + a^{5} c d^{6} x^{7} + \frac{1}{6} \, b^{5} c^{7} x^{6} + \frac{35}{6} \, a b^{4} c^{6} d x^{6} + 35 \, a^{2} b^{3} c^{5} d^{2} x^{6} + \frac{175}{3} \, a^{3} b^{2} c^{4} d^{3} x^{6} + \frac{175}{6} \, a^{4} b c^{3} d^{4} x^{6} + \frac{7}{2} \, a^{5} c^{2} d^{5} x^{6} + a b^{4} c^{7} x^{5} + 14 \, a^{2} b^{3} c^{6} d x^{5} + 42 \, a^{3} b^{2} c^{5} d^{2} x^{5} + 35 \, a^{4} b c^{4} d^{3} x^{5} + 7 \, a^{5} c^{3} d^{4} x^{5} + \frac{5}{2} \, a^{2} b^{3} c^{7} x^{4} + \frac{35}{2} \, a^{3} b^{2} c^{6} d x^{4} + \frac{105}{4} \, a^{4} b c^{5} d^{2} x^{4} + \frac{35}{4} \, a^{5} c^{4} d^{3} x^{4} + \frac{10}{3} \, a^{3} b^{2} c^{7} x^{3} + \frac{35}{3} \, a^{4} b c^{6} d x^{3} + 7 \, a^{5} c^{5} d^{2} x^{3} + \frac{5}{2} \, a^{4} b c^{7} x^{2} + \frac{7}{2} \, a^{5} c^{6} d x^{2} + a^{5} c^{7} x"," ",0,"1/13*b^5*d^7*x^13 + 7/12*b^5*c*d^6*x^12 + 5/12*a*b^4*d^7*x^12 + 21/11*b^5*c^2*d^5*x^11 + 35/11*a*b^4*c*d^6*x^11 + 10/11*a^2*b^3*d^7*x^11 + 7/2*b^5*c^3*d^4*x^10 + 21/2*a*b^4*c^2*d^5*x^10 + 7*a^2*b^3*c*d^6*x^10 + a^3*b^2*d^7*x^10 + 35/9*b^5*c^4*d^3*x^9 + 175/9*a*b^4*c^3*d^4*x^9 + 70/3*a^2*b^3*c^2*d^5*x^9 + 70/9*a^3*b^2*c*d^6*x^9 + 5/9*a^4*b*d^7*x^9 + 21/8*b^5*c^5*d^2*x^8 + 175/8*a*b^4*c^4*d^3*x^8 + 175/4*a^2*b^3*c^3*d^4*x^8 + 105/4*a^3*b^2*c^2*d^5*x^8 + 35/8*a^4*b*c*d^6*x^8 + 1/8*a^5*d^7*x^8 + b^5*c^6*d*x^7 + 15*a*b^4*c^5*d^2*x^7 + 50*a^2*b^3*c^4*d^3*x^7 + 50*a^3*b^2*c^3*d^4*x^7 + 15*a^4*b*c^2*d^5*x^7 + a^5*c*d^6*x^7 + 1/6*b^5*c^7*x^6 + 35/6*a*b^4*c^6*d*x^6 + 35*a^2*b^3*c^5*d^2*x^6 + 175/3*a^3*b^2*c^4*d^3*x^6 + 175/6*a^4*b*c^3*d^4*x^6 + 7/2*a^5*c^2*d^5*x^6 + a*b^4*c^7*x^5 + 14*a^2*b^3*c^6*d*x^5 + 42*a^3*b^2*c^5*d^2*x^5 + 35*a^4*b*c^4*d^3*x^5 + 7*a^5*c^3*d^4*x^5 + 5/2*a^2*b^3*c^7*x^4 + 35/2*a^3*b^2*c^6*d*x^4 + 105/4*a^4*b*c^5*d^2*x^4 + 35/4*a^5*c^4*d^3*x^4 + 10/3*a^3*b^2*c^7*x^3 + 35/3*a^4*b*c^6*d*x^3 + 7*a^5*c^5*d^2*x^3 + 5/2*a^4*b*c^7*x^2 + 7/2*a^5*c^6*d*x^2 + a^5*c^7*x","B",0
1278,1,546,0,1.214537," ","integrate((b*x+a)^4*(d*x+c)^7,x, algorithm=""giac"")","\frac{1}{12} \, b^{4} d^{7} x^{12} + \frac{7}{11} \, b^{4} c d^{6} x^{11} + \frac{4}{11} \, a b^{3} d^{7} x^{11} + \frac{21}{10} \, b^{4} c^{2} d^{5} x^{10} + \frac{14}{5} \, a b^{3} c d^{6} x^{10} + \frac{3}{5} \, a^{2} b^{2} d^{7} x^{10} + \frac{35}{9} \, b^{4} c^{3} d^{4} x^{9} + \frac{28}{3} \, a b^{3} c^{2} d^{5} x^{9} + \frac{14}{3} \, a^{2} b^{2} c d^{6} x^{9} + \frac{4}{9} \, a^{3} b d^{7} x^{9} + \frac{35}{8} \, b^{4} c^{4} d^{3} x^{8} + \frac{35}{2} \, a b^{3} c^{3} d^{4} x^{8} + \frac{63}{4} \, a^{2} b^{2} c^{2} d^{5} x^{8} + \frac{7}{2} \, a^{3} b c d^{6} x^{8} + \frac{1}{8} \, a^{4} d^{7} x^{8} + 3 \, b^{4} c^{5} d^{2} x^{7} + 20 \, a b^{3} c^{4} d^{3} x^{7} + 30 \, a^{2} b^{2} c^{3} d^{4} x^{7} + 12 \, a^{3} b c^{2} d^{5} x^{7} + a^{4} c d^{6} x^{7} + \frac{7}{6} \, b^{4} c^{6} d x^{6} + 14 \, a b^{3} c^{5} d^{2} x^{6} + 35 \, a^{2} b^{2} c^{4} d^{3} x^{6} + \frac{70}{3} \, a^{3} b c^{3} d^{4} x^{6} + \frac{7}{2} \, a^{4} c^{2} d^{5} x^{6} + \frac{1}{5} \, b^{4} c^{7} x^{5} + \frac{28}{5} \, a b^{3} c^{6} d x^{5} + \frac{126}{5} \, a^{2} b^{2} c^{5} d^{2} x^{5} + 28 \, a^{3} b c^{4} d^{3} x^{5} + 7 \, a^{4} c^{3} d^{4} x^{5} + a b^{3} c^{7} x^{4} + \frac{21}{2} \, a^{2} b^{2} c^{6} d x^{4} + 21 \, a^{3} b c^{5} d^{2} x^{4} + \frac{35}{4} \, a^{4} c^{4} d^{3} x^{4} + 2 \, a^{2} b^{2} c^{7} x^{3} + \frac{28}{3} \, a^{3} b c^{6} d x^{3} + 7 \, a^{4} c^{5} d^{2} x^{3} + 2 \, a^{3} b c^{7} x^{2} + \frac{7}{2} \, a^{4} c^{6} d x^{2} + a^{4} c^{7} x"," ",0,"1/12*b^4*d^7*x^12 + 7/11*b^4*c*d^6*x^11 + 4/11*a*b^3*d^7*x^11 + 21/10*b^4*c^2*d^5*x^10 + 14/5*a*b^3*c*d^6*x^10 + 3/5*a^2*b^2*d^7*x^10 + 35/9*b^4*c^3*d^4*x^9 + 28/3*a*b^3*c^2*d^5*x^9 + 14/3*a^2*b^2*c*d^6*x^9 + 4/9*a^3*b*d^7*x^9 + 35/8*b^4*c^4*d^3*x^8 + 35/2*a*b^3*c^3*d^4*x^8 + 63/4*a^2*b^2*c^2*d^5*x^8 + 7/2*a^3*b*c*d^6*x^8 + 1/8*a^4*d^7*x^8 + 3*b^4*c^5*d^2*x^7 + 20*a*b^3*c^4*d^3*x^7 + 30*a^2*b^2*c^3*d^4*x^7 + 12*a^3*b*c^2*d^5*x^7 + a^4*c*d^6*x^7 + 7/6*b^4*c^6*d*x^6 + 14*a*b^3*c^5*d^2*x^6 + 35*a^2*b^2*c^4*d^3*x^6 + 70/3*a^3*b*c^3*d^4*x^6 + 7/2*a^4*c^2*d^5*x^6 + 1/5*b^4*c^7*x^5 + 28/5*a*b^3*c^6*d*x^5 + 126/5*a^2*b^2*c^5*d^2*x^5 + 28*a^3*b*c^4*d^3*x^5 + 7*a^4*c^3*d^4*x^5 + a*b^3*c^7*x^4 + 21/2*a^2*b^2*c^6*d*x^4 + 21*a^3*b*c^5*d^2*x^4 + 35/4*a^4*c^4*d^3*x^4 + 2*a^2*b^2*c^7*x^3 + 28/3*a^3*b*c^6*d*x^3 + 7*a^4*c^5*d^2*x^3 + 2*a^3*b*c^7*x^2 + 7/2*a^4*c^6*d*x^2 + a^4*c^7*x","B",0
1279,1,420,0,1.259409," ","integrate((b*x+a)^3*(d*x+c)^7,x, algorithm=""giac"")","\frac{1}{11} \, b^{3} d^{7} x^{11} + \frac{7}{10} \, b^{3} c d^{6} x^{10} + \frac{3}{10} \, a b^{2} d^{7} x^{10} + \frac{7}{3} \, b^{3} c^{2} d^{5} x^{9} + \frac{7}{3} \, a b^{2} c d^{6} x^{9} + \frac{1}{3} \, a^{2} b d^{7} x^{9} + \frac{35}{8} \, b^{3} c^{3} d^{4} x^{8} + \frac{63}{8} \, a b^{2} c^{2} d^{5} x^{8} + \frac{21}{8} \, a^{2} b c d^{6} x^{8} + \frac{1}{8} \, a^{3} d^{7} x^{8} + 5 \, b^{3} c^{4} d^{3} x^{7} + 15 \, a b^{2} c^{3} d^{4} x^{7} + 9 \, a^{2} b c^{2} d^{5} x^{7} + a^{3} c d^{6} x^{7} + \frac{7}{2} \, b^{3} c^{5} d^{2} x^{6} + \frac{35}{2} \, a b^{2} c^{4} d^{3} x^{6} + \frac{35}{2} \, a^{2} b c^{3} d^{4} x^{6} + \frac{7}{2} \, a^{3} c^{2} d^{5} x^{6} + \frac{7}{5} \, b^{3} c^{6} d x^{5} + \frac{63}{5} \, a b^{2} c^{5} d^{2} x^{5} + 21 \, a^{2} b c^{4} d^{3} x^{5} + 7 \, a^{3} c^{3} d^{4} x^{5} + \frac{1}{4} \, b^{3} c^{7} x^{4} + \frac{21}{4} \, a b^{2} c^{6} d x^{4} + \frac{63}{4} \, a^{2} b c^{5} d^{2} x^{4} + \frac{35}{4} \, a^{3} c^{4} d^{3} x^{4} + a b^{2} c^{7} x^{3} + 7 \, a^{2} b c^{6} d x^{3} + 7 \, a^{3} c^{5} d^{2} x^{3} + \frac{3}{2} \, a^{2} b c^{7} x^{2} + \frac{7}{2} \, a^{3} c^{6} d x^{2} + a^{3} c^{7} x"," ",0,"1/11*b^3*d^7*x^11 + 7/10*b^3*c*d^6*x^10 + 3/10*a*b^2*d^7*x^10 + 7/3*b^3*c^2*d^5*x^9 + 7/3*a*b^2*c*d^6*x^9 + 1/3*a^2*b*d^7*x^9 + 35/8*b^3*c^3*d^4*x^8 + 63/8*a*b^2*c^2*d^5*x^8 + 21/8*a^2*b*c*d^6*x^8 + 1/8*a^3*d^7*x^8 + 5*b^3*c^4*d^3*x^7 + 15*a*b^2*c^3*d^4*x^7 + 9*a^2*b*c^2*d^5*x^7 + a^3*c*d^6*x^7 + 7/2*b^3*c^5*d^2*x^6 + 35/2*a*b^2*c^4*d^3*x^6 + 35/2*a^2*b*c^3*d^4*x^6 + 7/2*a^3*c^2*d^5*x^6 + 7/5*b^3*c^6*d*x^5 + 63/5*a*b^2*c^5*d^2*x^5 + 21*a^2*b*c^4*d^3*x^5 + 7*a^3*c^3*d^4*x^5 + 1/4*b^3*c^7*x^4 + 21/4*a*b^2*c^6*d*x^4 + 63/4*a^2*b*c^5*d^2*x^4 + 35/4*a^3*c^4*d^3*x^4 + a*b^2*c^7*x^3 + 7*a^2*b*c^6*d*x^3 + 7*a^3*c^5*d^2*x^3 + 3/2*a^2*b*c^7*x^2 + 7/2*a^3*c^6*d*x^2 + a^3*c^7*x","B",0
1280,1,294,0,1.240165," ","integrate((b*x+a)^2*(d*x+c)^7,x, algorithm=""giac"")","\frac{1}{10} \, b^{2} d^{7} x^{10} + \frac{7}{9} \, b^{2} c d^{6} x^{9} + \frac{2}{9} \, a b d^{7} x^{9} + \frac{21}{8} \, b^{2} c^{2} d^{5} x^{8} + \frac{7}{4} \, a b c d^{6} x^{8} + \frac{1}{8} \, a^{2} d^{7} x^{8} + 5 \, b^{2} c^{3} d^{4} x^{7} + 6 \, a b c^{2} d^{5} x^{7} + a^{2} c d^{6} x^{7} + \frac{35}{6} \, b^{2} c^{4} d^{3} x^{6} + \frac{35}{3} \, a b c^{3} d^{4} x^{6} + \frac{7}{2} \, a^{2} c^{2} d^{5} x^{6} + \frac{21}{5} \, b^{2} c^{5} d^{2} x^{5} + 14 \, a b c^{4} d^{3} x^{5} + 7 \, a^{2} c^{3} d^{4} x^{5} + \frac{7}{4} \, b^{2} c^{6} d x^{4} + \frac{21}{2} \, a b c^{5} d^{2} x^{4} + \frac{35}{4} \, a^{2} c^{4} d^{3} x^{4} + \frac{1}{3} \, b^{2} c^{7} x^{3} + \frac{14}{3} \, a b c^{6} d x^{3} + 7 \, a^{2} c^{5} d^{2} x^{3} + a b c^{7} x^{2} + \frac{7}{2} \, a^{2} c^{6} d x^{2} + a^{2} c^{7} x"," ",0,"1/10*b^2*d^7*x^10 + 7/9*b^2*c*d^6*x^9 + 2/9*a*b*d^7*x^9 + 21/8*b^2*c^2*d^5*x^8 + 7/4*a*b*c*d^6*x^8 + 1/8*a^2*d^7*x^8 + 5*b^2*c^3*d^4*x^7 + 6*a*b*c^2*d^5*x^7 + a^2*c*d^6*x^7 + 35/6*b^2*c^4*d^3*x^6 + 35/3*a*b*c^3*d^4*x^6 + 7/2*a^2*c^2*d^5*x^6 + 21/5*b^2*c^5*d^2*x^5 + 14*a*b*c^4*d^3*x^5 + 7*a^2*c^3*d^4*x^5 + 7/4*b^2*c^6*d*x^4 + 21/2*a*b*c^5*d^2*x^4 + 35/4*a^2*c^4*d^3*x^4 + 1/3*b^2*c^7*x^3 + 14/3*a*b*c^6*d*x^3 + 7*a^2*c^5*d^2*x^3 + a*b*c^7*x^2 + 7/2*a^2*c^6*d*x^2 + a^2*c^7*x","B",0
1281,1,169,0,1.297491," ","integrate((b*x+a)*(d*x+c)^7,x, algorithm=""giac"")","\frac{1}{9} \, b d^{7} x^{9} + \frac{7}{8} \, b c d^{6} x^{8} + \frac{1}{8} \, a d^{7} x^{8} + 3 \, b c^{2} d^{5} x^{7} + a c d^{6} x^{7} + \frac{35}{6} \, b c^{3} d^{4} x^{6} + \frac{7}{2} \, a c^{2} d^{5} x^{6} + 7 \, b c^{4} d^{3} x^{5} + 7 \, a c^{3} d^{4} x^{5} + \frac{21}{4} \, b c^{5} d^{2} x^{4} + \frac{35}{4} \, a c^{4} d^{3} x^{4} + \frac{7}{3} \, b c^{6} d x^{3} + 7 \, a c^{5} d^{2} x^{3} + \frac{1}{2} \, b c^{7} x^{2} + \frac{7}{2} \, a c^{6} d x^{2} + a c^{7} x"," ",0,"1/9*b*d^7*x^9 + 7/8*b*c*d^6*x^8 + 1/8*a*d^7*x^8 + 3*b*c^2*d^5*x^7 + a*c*d^6*x^7 + 35/6*b*c^3*d^4*x^6 + 7/2*a*c^2*d^5*x^6 + 7*b*c^4*d^3*x^5 + 7*a*c^3*d^4*x^5 + 21/4*b*c^5*d^2*x^4 + 35/4*a*c^4*d^3*x^4 + 7/3*b*c^6*d*x^3 + 7*a*c^5*d^2*x^3 + 1/2*b*c^7*x^2 + 7/2*a*c^6*d*x^2 + a*c^7*x","B",0
1282,1,12,0,1.298147," ","integrate((d*x+c)^7,x, algorithm=""giac"")","\frac{{\left(d x + c\right)}^{8}}{8 \, d}"," ",0,"1/8*(d*x + c)^8/d","A",0
1283,1,497,0,1.298069," ","integrate((d*x+c)^7/(b*x+a),x, algorithm=""giac"")","\frac{60 \, b^{6} d^{7} x^{7} + 490 \, b^{6} c d^{6} x^{6} - 70 \, a b^{5} d^{7} x^{6} + 1764 \, b^{6} c^{2} d^{5} x^{5} - 588 \, a b^{5} c d^{6} x^{5} + 84 \, a^{2} b^{4} d^{7} x^{5} + 3675 \, b^{6} c^{3} d^{4} x^{4} - 2205 \, a b^{5} c^{2} d^{5} x^{4} + 735 \, a^{2} b^{4} c d^{6} x^{4} - 105 \, a^{3} b^{3} d^{7} x^{4} + 4900 \, b^{6} c^{4} d^{3} x^{3} - 4900 \, a b^{5} c^{3} d^{4} x^{3} + 2940 \, a^{2} b^{4} c^{2} d^{5} x^{3} - 980 \, a^{3} b^{3} c d^{6} x^{3} + 140 \, a^{4} b^{2} d^{7} x^{3} + 4410 \, b^{6} c^{5} d^{2} x^{2} - 7350 \, a b^{5} c^{4} d^{3} x^{2} + 7350 \, a^{2} b^{4} c^{3} d^{4} x^{2} - 4410 \, a^{3} b^{3} c^{2} d^{5} x^{2} + 1470 \, a^{4} b^{2} c d^{6} x^{2} - 210 \, a^{5} b d^{7} x^{2} + 2940 \, b^{6} c^{6} d x - 8820 \, a b^{5} c^{5} d^{2} x + 14700 \, a^{2} b^{4} c^{4} d^{3} x - 14700 \, a^{3} b^{3} c^{3} d^{4} x + 8820 \, a^{4} b^{2} c^{2} d^{5} x - 2940 \, a^{5} b c d^{6} x + 420 \, a^{6} d^{7} x}{420 \, b^{7}} + \frac{{\left(b^{7} c^{7} - 7 \, a b^{6} c^{6} d + 21 \, a^{2} b^{5} c^{5} d^{2} - 35 \, a^{3} b^{4} c^{4} d^{3} + 35 \, a^{4} b^{3} c^{3} d^{4} - 21 \, a^{5} b^{2} c^{2} d^{5} + 7 \, a^{6} b c d^{6} - a^{7} d^{7}\right)} \log\left({\left| b x + a \right|}\right)}{b^{8}}"," ",0,"1/420*(60*b^6*d^7*x^7 + 490*b^6*c*d^6*x^6 - 70*a*b^5*d^7*x^6 + 1764*b^6*c^2*d^5*x^5 - 588*a*b^5*c*d^6*x^5 + 84*a^2*b^4*d^7*x^5 + 3675*b^6*c^3*d^4*x^4 - 2205*a*b^5*c^2*d^5*x^4 + 735*a^2*b^4*c*d^6*x^4 - 105*a^3*b^3*d^7*x^4 + 4900*b^6*c^4*d^3*x^3 - 4900*a*b^5*c^3*d^4*x^3 + 2940*a^2*b^4*c^2*d^5*x^3 - 980*a^3*b^3*c*d^6*x^3 + 140*a^4*b^2*d^7*x^3 + 4410*b^6*c^5*d^2*x^2 - 7350*a*b^5*c^4*d^3*x^2 + 7350*a^2*b^4*c^3*d^4*x^2 - 4410*a^3*b^3*c^2*d^5*x^2 + 1470*a^4*b^2*c*d^6*x^2 - 210*a^5*b*d^7*x^2 + 2940*b^6*c^6*d*x - 8820*a*b^5*c^5*d^2*x + 14700*a^2*b^4*c^4*d^3*x - 14700*a^3*b^3*c^3*d^4*x + 8820*a^4*b^2*c^2*d^5*x - 2940*a^5*b*c*d^6*x + 420*a^6*d^7*x)/b^7 + (b^7*c^7 - 7*a*b^6*c^6*d + 21*a^2*b^5*c^5*d^2 - 35*a^3*b^4*c^4*d^3 + 35*a^4*b^3*c^3*d^4 - 21*a^5*b^2*c^2*d^5 + 7*a^6*b*c*d^6 - a^7*d^7)*log(abs(b*x + a))/b^8","B",0
1284,1,567,0,1.281377," ","integrate((d*x+c)^7/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(10 \, d^{7} + \frac{84 \, {\left(b^{2} c d^{6} - a b d^{7}\right)}}{{\left(b x + a\right)} b} + \frac{315 \, {\left(b^{4} c^{2} d^{5} - 2 \, a b^{3} c d^{6} + a^{2} b^{2} d^{7}\right)}}{{\left(b x + a\right)}^{2} b^{2}} + \frac{700 \, {\left(b^{6} c^{3} d^{4} - 3 \, a b^{5} c^{2} d^{5} + 3 \, a^{2} b^{4} c d^{6} - a^{3} b^{3} d^{7}\right)}}{{\left(b x + a\right)}^{3} b^{3}} + \frac{1050 \, {\left(b^{8} c^{4} d^{3} - 4 \, a b^{7} c^{3} d^{4} + 6 \, a^{2} b^{6} c^{2} d^{5} - 4 \, a^{3} b^{5} c d^{6} + a^{4} b^{4} d^{7}\right)}}{{\left(b x + a\right)}^{4} b^{4}} + \frac{1260 \, {\left(b^{10} c^{5} d^{2} - 5 \, a b^{9} c^{4} d^{3} + 10 \, a^{2} b^{8} c^{3} d^{4} - 10 \, a^{3} b^{7} c^{2} d^{5} + 5 \, a^{4} b^{6} c d^{6} - a^{5} b^{5} d^{7}\right)}}{{\left(b x + a\right)}^{5} b^{5}}\right)} {\left(b x + a\right)}^{6}}{60 \, b^{8}} - \frac{7 \, {\left(b^{6} c^{6} d - 6 \, a b^{5} c^{5} d^{2} + 15 \, a^{2} b^{4} c^{4} d^{3} - 20 \, a^{3} b^{3} c^{3} d^{4} + 15 \, a^{4} b^{2} c^{2} d^{5} - 6 \, a^{5} b c d^{6} + a^{6} d^{7}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{8}} - \frac{\frac{b^{13} c^{7}}{b x + a} - \frac{7 \, a b^{12} c^{6} d}{b x + a} + \frac{21 \, a^{2} b^{11} c^{5} d^{2}}{b x + a} - \frac{35 \, a^{3} b^{10} c^{4} d^{3}}{b x + a} + \frac{35 \, a^{4} b^{9} c^{3} d^{4}}{b x + a} - \frac{21 \, a^{5} b^{8} c^{2} d^{5}}{b x + a} + \frac{7 \, a^{6} b^{7} c d^{6}}{b x + a} - \frac{a^{7} b^{6} d^{7}}{b x + a}}{b^{14}}"," ",0,"1/60*(10*d^7 + 84*(b^2*c*d^6 - a*b*d^7)/((b*x + a)*b) + 315*(b^4*c^2*d^5 - 2*a*b^3*c*d^6 + a^2*b^2*d^7)/((b*x + a)^2*b^2) + 700*(b^6*c^3*d^4 - 3*a*b^5*c^2*d^5 + 3*a^2*b^4*c*d^6 - a^3*b^3*d^7)/((b*x + a)^3*b^3) + 1050*(b^8*c^4*d^3 - 4*a*b^7*c^3*d^4 + 6*a^2*b^6*c^2*d^5 - 4*a^3*b^5*c*d^6 + a^4*b^4*d^7)/((b*x + a)^4*b^4) + 1260*(b^10*c^5*d^2 - 5*a*b^9*c^4*d^3 + 10*a^2*b^8*c^3*d^4 - 10*a^3*b^7*c^2*d^5 + 5*a^4*b^6*c*d^6 - a^5*b^5*d^7)/((b*x + a)^5*b^5))*(b*x + a)^6/b^8 - 7*(b^6*c^6*d - 6*a*b^5*c^5*d^2 + 15*a^2*b^4*c^4*d^3 - 20*a^3*b^3*c^3*d^4 + 15*a^4*b^2*c^2*d^5 - 6*a^5*b*c*d^6 + a^6*d^7)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^8 - (b^13*c^7/(b*x + a) - 7*a*b^12*c^6*d/(b*x + a) + 21*a^2*b^11*c^5*d^2/(b*x + a) - 35*a^3*b^10*c^4*d^3/(b*x + a) + 35*a^4*b^9*c^3*d^4/(b*x + a) - 21*a^5*b^8*c^2*d^5/(b*x + a) + 7*a^6*b^7*c*d^6/(b*x + a) - a^7*b^6*d^7/(b*x + a))/b^14","B",0
1285,1,477,0,1.264553," ","integrate((d*x+c)^7/(b*x+a)^3,x, algorithm=""giac"")","\frac{21 \, {\left(b^{5} c^{5} d^{2} - 5 \, a b^{4} c^{4} d^{3} + 10 \, a^{2} b^{3} c^{3} d^{4} - 10 \, a^{3} b^{2} c^{2} d^{5} + 5 \, a^{4} b c d^{6} - a^{5} d^{7}\right)} \log\left({\left| b x + a \right|}\right)}{b^{8}} - \frac{b^{7} c^{7} + 7 \, a b^{6} c^{6} d - 63 \, a^{2} b^{5} c^{5} d^{2} + 175 \, a^{3} b^{4} c^{4} d^{3} - 245 \, a^{4} b^{3} c^{3} d^{4} + 189 \, a^{5} b^{2} c^{2} d^{5} - 77 \, a^{6} b c d^{6} + 13 \, a^{7} d^{7} + 14 \, {\left(b^{7} c^{6} d - 6 \, a b^{6} c^{5} d^{2} + 15 \, a^{2} b^{5} c^{4} d^{3} - 20 \, a^{3} b^{4} c^{3} d^{4} + 15 \, a^{4} b^{3} c^{2} d^{5} - 6 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{8}} + \frac{4 \, b^{12} d^{7} x^{5} + 35 \, b^{12} c d^{6} x^{4} - 15 \, a b^{11} d^{7} x^{4} + 140 \, b^{12} c^{2} d^{5} x^{3} - 140 \, a b^{11} c d^{6} x^{3} + 40 \, a^{2} b^{10} d^{7} x^{3} + 350 \, b^{12} c^{3} d^{4} x^{2} - 630 \, a b^{11} c^{2} d^{5} x^{2} + 420 \, a^{2} b^{10} c d^{6} x^{2} - 100 \, a^{3} b^{9} d^{7} x^{2} + 700 \, b^{12} c^{4} d^{3} x - 2100 \, a b^{11} c^{3} d^{4} x + 2520 \, a^{2} b^{10} c^{2} d^{5} x - 1400 \, a^{3} b^{9} c d^{6} x + 300 \, a^{4} b^{8} d^{7} x}{20 \, b^{15}}"," ",0,"21*(b^5*c^5*d^2 - 5*a*b^4*c^4*d^3 + 10*a^2*b^3*c^3*d^4 - 10*a^3*b^2*c^2*d^5 + 5*a^4*b*c*d^6 - a^5*d^7)*log(abs(b*x + a))/b^8 - 1/2*(b^7*c^7 + 7*a*b^6*c^6*d - 63*a^2*b^5*c^5*d^2 + 175*a^3*b^4*c^4*d^3 - 245*a^4*b^3*c^3*d^4 + 189*a^5*b^2*c^2*d^5 - 77*a^6*b*c*d^6 + 13*a^7*d^7 + 14*(b^7*c^6*d - 6*a*b^6*c^5*d^2 + 15*a^2*b^5*c^4*d^3 - 20*a^3*b^4*c^3*d^4 + 15*a^4*b^3*c^2*d^5 - 6*a^5*b^2*c*d^6 + a^6*b*d^7)*x)/((b*x + a)^2*b^8) + 1/20*(4*b^12*d^7*x^5 + 35*b^12*c*d^6*x^4 - 15*a*b^11*d^7*x^4 + 140*b^12*c^2*d^5*x^3 - 140*a*b^11*c*d^6*x^3 + 40*a^2*b^10*d^7*x^3 + 350*b^12*c^3*d^4*x^2 - 630*a*b^11*c^2*d^5*x^2 + 420*a^2*b^10*c*d^6*x^2 - 100*a^3*b^9*d^7*x^2 + 700*b^12*c^4*d^3*x - 2100*a*b^11*c^3*d^4*x + 2520*a^2*b^10*c^2*d^5*x - 1400*a^3*b^9*c*d^6*x + 300*a^4*b^8*d^7*x)/b^15","B",0
1286,1,470,0,1.318434," ","integrate((d*x+c)^7/(b*x+a)^4,x, algorithm=""giac"")","\frac{35 \, {\left(b^{4} c^{4} d^{3} - 4 \, a b^{3} c^{3} d^{4} + 6 \, a^{2} b^{2} c^{2} d^{5} - 4 \, a^{3} b c d^{6} + a^{4} d^{7}\right)} \log\left({\left| b x + a \right|}\right)}{b^{8}} - \frac{2 \, b^{7} c^{7} + 7 \, a b^{6} c^{6} d + 42 \, a^{2} b^{5} c^{5} d^{2} - 385 \, a^{3} b^{4} c^{4} d^{3} + 910 \, a^{4} b^{3} c^{3} d^{4} - 987 \, a^{5} b^{2} c^{2} d^{5} + 518 \, a^{6} b c d^{6} - 107 \, a^{7} d^{7} + 126 \, {\left(b^{7} c^{5} d^{2} - 5 \, a b^{6} c^{4} d^{3} + 10 \, a^{2} b^{5} c^{3} d^{4} - 10 \, a^{3} b^{4} c^{2} d^{5} + 5 \, a^{4} b^{3} c d^{6} - a^{5} b^{2} d^{7}\right)} x^{2} + 21 \, {\left(b^{7} c^{6} d + 6 \, a b^{6} c^{5} d^{2} - 45 \, a^{2} b^{5} c^{4} d^{3} + 100 \, a^{3} b^{4} c^{3} d^{4} - 105 \, a^{4} b^{3} c^{2} d^{5} + 54 \, a^{5} b^{2} c d^{6} - 11 \, a^{6} b d^{7}\right)} x}{6 \, {\left(b x + a\right)}^{3} b^{8}} + \frac{3 \, b^{12} d^{7} x^{4} + 28 \, b^{12} c d^{6} x^{3} - 16 \, a b^{11} d^{7} x^{3} + 126 \, b^{12} c^{2} d^{5} x^{2} - 168 \, a b^{11} c d^{6} x^{2} + 60 \, a^{2} b^{10} d^{7} x^{2} + 420 \, b^{12} c^{3} d^{4} x - 1008 \, a b^{11} c^{2} d^{5} x + 840 \, a^{2} b^{10} c d^{6} x - 240 \, a^{3} b^{9} d^{7} x}{12 \, b^{16}}"," ",0,"35*(b^4*c^4*d^3 - 4*a*b^3*c^3*d^4 + 6*a^2*b^2*c^2*d^5 - 4*a^3*b*c*d^6 + a^4*d^7)*log(abs(b*x + a))/b^8 - 1/6*(2*b^7*c^7 + 7*a*b^6*c^6*d + 42*a^2*b^5*c^5*d^2 - 385*a^3*b^4*c^4*d^3 + 910*a^4*b^3*c^3*d^4 - 987*a^5*b^2*c^2*d^5 + 518*a^6*b*c*d^6 - 107*a^7*d^7 + 126*(b^7*c^5*d^2 - 5*a*b^6*c^4*d^3 + 10*a^2*b^5*c^3*d^4 - 10*a^3*b^4*c^2*d^5 + 5*a^4*b^3*c*d^6 - a^5*b^2*d^7)*x^2 + 21*(b^7*c^6*d + 6*a*b^6*c^5*d^2 - 45*a^2*b^5*c^4*d^3 + 100*a^3*b^4*c^3*d^4 - 105*a^4*b^3*c^2*d^5 + 54*a^5*b^2*c*d^6 - 11*a^6*b*d^7)*x)/((b*x + a)^3*b^8) + 1/12*(3*b^12*d^7*x^4 + 28*b^12*c*d^6*x^3 - 16*a*b^11*d^7*x^3 + 126*b^12*c^2*d^5*x^2 - 168*a*b^11*c*d^6*x^2 + 60*a^2*b^10*d^7*x^2 + 420*b^12*c^3*d^4*x - 1008*a*b^11*c^2*d^5*x + 840*a^2*b^10*c*d^6*x - 240*a^3*b^9*d^7*x)/b^16","B",0
1287,1,660,0,1.286622," ","integrate((d*x+c)^7/(b*x+a)^5,x, algorithm=""giac"")","\frac{{\left(2 \, d^{7} + \frac{21 \, {\left(b^{2} c d^{6} - a b d^{7}\right)}}{{\left(b x + a\right)} b} + \frac{126 \, {\left(b^{4} c^{2} d^{5} - 2 \, a b^{3} c d^{6} + a^{2} b^{2} d^{7}\right)}}{{\left(b x + a\right)}^{2} b^{2}}\right)} {\left(b x + a\right)}^{3}}{6 \, b^{8}} - \frac{35 \, {\left(b^{3} c^{3} d^{4} - 3 \, a b^{2} c^{2} d^{5} + 3 \, a^{2} b c d^{6} - a^{3} d^{7}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{8}} - \frac{\frac{3 \, b^{43} c^{7}}{{\left(b x + a\right)}^{4}} + \frac{28 \, b^{42} c^{6} d}{{\left(b x + a\right)}^{3}} - \frac{21 \, a b^{42} c^{6} d}{{\left(b x + a\right)}^{4}} + \frac{126 \, b^{41} c^{5} d^{2}}{{\left(b x + a\right)}^{2}} - \frac{168 \, a b^{41} c^{5} d^{2}}{{\left(b x + a\right)}^{3}} + \frac{63 \, a^{2} b^{41} c^{5} d^{2}}{{\left(b x + a\right)}^{4}} + \frac{420 \, b^{40} c^{4} d^{3}}{b x + a} - \frac{630 \, a b^{40} c^{4} d^{3}}{{\left(b x + a\right)}^{2}} + \frac{420 \, a^{2} b^{40} c^{4} d^{3}}{{\left(b x + a\right)}^{3}} - \frac{105 \, a^{3} b^{40} c^{4} d^{3}}{{\left(b x + a\right)}^{4}} - \frac{1680 \, a b^{39} c^{3} d^{4}}{b x + a} + \frac{1260 \, a^{2} b^{39} c^{3} d^{4}}{{\left(b x + a\right)}^{2}} - \frac{560 \, a^{3} b^{39} c^{3} d^{4}}{{\left(b x + a\right)}^{3}} + \frac{105 \, a^{4} b^{39} c^{3} d^{4}}{{\left(b x + a\right)}^{4}} + \frac{2520 \, a^{2} b^{38} c^{2} d^{5}}{b x + a} - \frac{1260 \, a^{3} b^{38} c^{2} d^{5}}{{\left(b x + a\right)}^{2}} + \frac{420 \, a^{4} b^{38} c^{2} d^{5}}{{\left(b x + a\right)}^{3}} - \frac{63 \, a^{5} b^{38} c^{2} d^{5}}{{\left(b x + a\right)}^{4}} - \frac{1680 \, a^{3} b^{37} c d^{6}}{b x + a} + \frac{630 \, a^{4} b^{37} c d^{6}}{{\left(b x + a\right)}^{2}} - \frac{168 \, a^{5} b^{37} c d^{6}}{{\left(b x + a\right)}^{3}} + \frac{21 \, a^{6} b^{37} c d^{6}}{{\left(b x + a\right)}^{4}} + \frac{420 \, a^{4} b^{36} d^{7}}{b x + a} - \frac{126 \, a^{5} b^{36} d^{7}}{{\left(b x + a\right)}^{2}} + \frac{28 \, a^{6} b^{36} d^{7}}{{\left(b x + a\right)}^{3}} - \frac{3 \, a^{7} b^{36} d^{7}}{{\left(b x + a\right)}^{4}}}{12 \, b^{44}}"," ",0,"1/6*(2*d^7 + 21*(b^2*c*d^6 - a*b*d^7)/((b*x + a)*b) + 126*(b^4*c^2*d^5 - 2*a*b^3*c*d^6 + a^2*b^2*d^7)/((b*x + a)^2*b^2))*(b*x + a)^3/b^8 - 35*(b^3*c^3*d^4 - 3*a*b^2*c^2*d^5 + 3*a^2*b*c*d^6 - a^3*d^7)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^8 - 1/12*(3*b^43*c^7/(b*x + a)^4 + 28*b^42*c^6*d/(b*x + a)^3 - 21*a*b^42*c^6*d/(b*x + a)^4 + 126*b^41*c^5*d^2/(b*x + a)^2 - 168*a*b^41*c^5*d^2/(b*x + a)^3 + 63*a^2*b^41*c^5*d^2/(b*x + a)^4 + 420*b^40*c^4*d^3/(b*x + a) - 630*a*b^40*c^4*d^3/(b*x + a)^2 + 420*a^2*b^40*c^4*d^3/(b*x + a)^3 - 105*a^3*b^40*c^4*d^3/(b*x + a)^4 - 1680*a*b^39*c^3*d^4/(b*x + a) + 1260*a^2*b^39*c^3*d^4/(b*x + a)^2 - 560*a^3*b^39*c^3*d^4/(b*x + a)^3 + 105*a^4*b^39*c^3*d^4/(b*x + a)^4 + 2520*a^2*b^38*c^2*d^5/(b*x + a) - 1260*a^3*b^38*c^2*d^5/(b*x + a)^2 + 420*a^4*b^38*c^2*d^5/(b*x + a)^3 - 63*a^5*b^38*c^2*d^5/(b*x + a)^4 - 1680*a^3*b^37*c*d^6/(b*x + a) + 630*a^4*b^37*c*d^6/(b*x + a)^2 - 168*a^5*b^37*c*d^6/(b*x + a)^3 + 21*a^6*b^37*c*d^6/(b*x + a)^4 + 420*a^4*b^36*d^7/(b*x + a) - 126*a^5*b^36*d^7/(b*x + a)^2 + 28*a^6*b^36*d^7/(b*x + a)^3 - 3*a^7*b^36*d^7/(b*x + a)^4)/b^44","B",0
1288,1,463,0,1.380892," ","integrate((d*x+c)^7/(b*x+a)^6,x, algorithm=""giac"")","\frac{21 \, {\left(b^{2} c^{2} d^{5} - 2 \, a b c d^{6} + a^{2} d^{7}\right)} \log\left({\left| b x + a \right|}\right)}{b^{8}} + \frac{b^{6} d^{7} x^{2} + 14 \, b^{6} c d^{6} x - 12 \, a b^{5} d^{7} x}{2 \, b^{12}} - \frac{4 \, b^{7} c^{7} + 7 \, a b^{6} c^{6} d + 14 \, a^{2} b^{5} c^{5} d^{2} + 35 \, a^{3} b^{4} c^{4} d^{3} + 140 \, a^{4} b^{3} c^{3} d^{4} - 959 \, a^{5} b^{2} c^{2} d^{5} + 1218 \, a^{6} b c d^{6} - 459 \, a^{7} d^{7} + 700 \, {\left(b^{7} c^{3} d^{4} - 3 \, a b^{6} c^{2} d^{5} + 3 \, a^{2} b^{5} c d^{6} - a^{3} b^{4} d^{7}\right)} x^{4} + 350 \, {\left(b^{7} c^{4} d^{3} + 4 \, a b^{6} c^{3} d^{4} - 18 \, a^{2} b^{5} c^{2} d^{5} + 20 \, a^{3} b^{4} c d^{6} - 7 \, a^{4} b^{3} d^{7}\right)} x^{3} + 70 \, {\left(2 \, b^{7} c^{5} d^{2} + 5 \, a b^{6} c^{4} d^{3} + 20 \, a^{2} b^{5} c^{3} d^{4} - 110 \, a^{3} b^{4} c^{2} d^{5} + 130 \, a^{4} b^{3} c d^{6} - 47 \, a^{5} b^{2} d^{7}\right)} x^{2} + 35 \, {\left(b^{7} c^{6} d + 2 \, a b^{6} c^{5} d^{2} + 5 \, a^{2} b^{5} c^{4} d^{3} + 20 \, a^{3} b^{4} c^{3} d^{4} - 125 \, a^{4} b^{3} c^{2} d^{5} + 154 \, a^{5} b^{2} c d^{6} - 57 \, a^{6} b d^{7}\right)} x}{20 \, {\left(b x + a\right)}^{5} b^{8}}"," ",0,"21*(b^2*c^2*d^5 - 2*a*b*c*d^6 + a^2*d^7)*log(abs(b*x + a))/b^8 + 1/2*(b^6*d^7*x^2 + 14*b^6*c*d^6*x - 12*a*b^5*d^7*x)/b^12 - 1/20*(4*b^7*c^7 + 7*a*b^6*c^6*d + 14*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 + 140*a^4*b^3*c^3*d^4 - 959*a^5*b^2*c^2*d^5 + 1218*a^6*b*c*d^6 - 459*a^7*d^7 + 700*(b^7*c^3*d^4 - 3*a*b^6*c^2*d^5 + 3*a^2*b^5*c*d^6 - a^3*b^4*d^7)*x^4 + 350*(b^7*c^4*d^3 + 4*a*b^6*c^3*d^4 - 18*a^2*b^5*c^2*d^5 + 20*a^3*b^4*c*d^6 - 7*a^4*b^3*d^7)*x^3 + 70*(2*b^7*c^5*d^2 + 5*a*b^6*c^4*d^3 + 20*a^2*b^5*c^3*d^4 - 110*a^3*b^4*c^2*d^5 + 130*a^4*b^3*c*d^6 - 47*a^5*b^2*d^7)*x^2 + 35*(b^7*c^6*d + 2*a*b^6*c^5*d^2 + 5*a^2*b^5*c^4*d^3 + 20*a^3*b^4*c^3*d^4 - 125*a^4*b^3*c^2*d^5 + 154*a^5*b^2*c*d^6 - 57*a^6*b*d^7)*x)/((b*x + a)^5*b^8)","B",0
1289,1,459,0,1.298445," ","integrate((d*x+c)^7/(b*x+a)^7,x, algorithm=""giac"")","\frac{d^{7} x}{b^{7}} + \frac{7 \, {\left(b c d^{6} - a d^{7}\right)} \log\left({\left| b x + a \right|}\right)}{b^{8}} - \frac{10 \, b^{7} c^{7} + 14 \, a b^{6} c^{6} d + 21 \, a^{2} b^{5} c^{5} d^{2} + 35 \, a^{3} b^{4} c^{4} d^{3} + 70 \, a^{4} b^{3} c^{3} d^{4} + 210 \, a^{5} b^{2} c^{2} d^{5} - 1029 \, a^{6} b c d^{6} + 669 \, a^{7} d^{7} + 1260 \, {\left(b^{7} c^{2} d^{5} - 2 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} x^{5} + 1050 \, {\left(b^{7} c^{3} d^{4} + 3 \, a b^{6} c^{2} d^{5} - 9 \, a^{2} b^{5} c d^{6} + 5 \, a^{3} b^{4} d^{7}\right)} x^{4} + 700 \, {\left(b^{7} c^{4} d^{3} + 2 \, a b^{6} c^{3} d^{4} + 6 \, a^{2} b^{5} c^{2} d^{5} - 22 \, a^{3} b^{4} c d^{6} + 13 \, a^{4} b^{3} d^{7}\right)} x^{3} + 105 \, {\left(3 \, b^{7} c^{5} d^{2} + 5 \, a b^{6} c^{4} d^{3} + 10 \, a^{2} b^{5} c^{3} d^{4} + 30 \, a^{3} b^{4} c^{2} d^{5} - 125 \, a^{4} b^{3} c d^{6} + 77 \, a^{5} b^{2} d^{7}\right)} x^{2} + 42 \, {\left(2 \, b^{7} c^{6} d + 3 \, a b^{6} c^{5} d^{2} + 5 \, a^{2} b^{5} c^{4} d^{3} + 10 \, a^{3} b^{4} c^{3} d^{4} + 30 \, a^{4} b^{3} c^{2} d^{5} - 137 \, a^{5} b^{2} c d^{6} + 87 \, a^{6} b d^{7}\right)} x}{60 \, {\left(b x + a\right)}^{6} b^{8}}"," ",0,"d^7*x/b^7 + 7*(b*c*d^6 - a*d^7)*log(abs(b*x + a))/b^8 - 1/60*(10*b^7*c^7 + 14*a*b^6*c^6*d + 21*a^2*b^5*c^5*d^2 + 35*a^3*b^4*c^4*d^3 + 70*a^4*b^3*c^3*d^4 + 210*a^5*b^2*c^2*d^5 - 1029*a^6*b*c*d^6 + 669*a^7*d^7 + 1260*(b^7*c^2*d^5 - 2*a*b^6*c*d^6 + a^2*b^5*d^7)*x^5 + 1050*(b^7*c^3*d^4 + 3*a*b^6*c^2*d^5 - 9*a^2*b^5*c*d^6 + 5*a^3*b^4*d^7)*x^4 + 700*(b^7*c^4*d^3 + 2*a*b^6*c^3*d^4 + 6*a^2*b^5*c^2*d^5 - 22*a^3*b^4*c*d^6 + 13*a^4*b^3*d^7)*x^3 + 105*(3*b^7*c^5*d^2 + 5*a*b^6*c^4*d^3 + 10*a^2*b^5*c^3*d^4 + 30*a^3*b^4*c^2*d^5 - 125*a^4*b^3*c*d^6 + 77*a^5*b^2*d^7)*x^2 + 42*(2*b^7*c^6*d + 3*a*b^6*c^5*d^2 + 5*a^2*b^5*c^4*d^3 + 10*a^3*b^4*c^3*d^4 + 30*a^4*b^3*c^2*d^5 - 137*a^5*b^2*c*d^6 + 87*a^6*b*d^7)*x)/((b*x + a)^6*b^8)","B",0
1290,1,466,0,1.280578," ","integrate((d*x+c)^7/(b*x+a)^8,x, algorithm=""giac"")","\frac{d^{7} \log\left({\left| b x + a \right|}\right)}{b^{8}} - \frac{2940 \, {\left(b^{6} c d^{6} - a b^{5} d^{7}\right)} x^{6} + 4410 \, {\left(b^{6} c^{2} d^{5} + 2 \, a b^{5} c d^{6} - 3 \, a^{2} b^{4} d^{7}\right)} x^{5} + 2450 \, {\left(2 \, b^{6} c^{3} d^{4} + 3 \, a b^{5} c^{2} d^{5} + 6 \, a^{2} b^{4} c d^{6} - 11 \, a^{3} b^{3} d^{7}\right)} x^{4} + 1225 \, {\left(3 \, b^{6} c^{4} d^{3} + 4 \, a b^{5} c^{3} d^{4} + 6 \, a^{2} b^{4} c^{2} d^{5} + 12 \, a^{3} b^{3} c d^{6} - 25 \, a^{4} b^{2} d^{7}\right)} x^{3} + 147 \, {\left(12 \, b^{6} c^{5} d^{2} + 15 \, a b^{5} c^{4} d^{3} + 20 \, a^{2} b^{4} c^{3} d^{4} + 30 \, a^{3} b^{3} c^{2} d^{5} + 60 \, a^{4} b^{2} c d^{6} - 137 \, a^{5} b d^{7}\right)} x^{2} + 49 \, {\left(10 \, b^{6} c^{6} d + 12 \, 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} + 30 \, a^{4} b^{2} c^{2} d^{5} + 60 \, a^{5} b c d^{6} - 147 \, a^{6} d^{7}\right)} x + \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}}{b}}{420 \, {\left(b x + a\right)}^{7} b^{7}}"," ",0,"d^7*log(abs(b*x + a))/b^8 - 1/420*(2940*(b^6*c*d^6 - a*b^5*d^7)*x^6 + 4410*(b^6*c^2*d^5 + 2*a*b^5*c*d^6 - 3*a^2*b^4*d^7)*x^5 + 2450*(2*b^6*c^3*d^4 + 3*a*b^5*c^2*d^5 + 6*a^2*b^4*c*d^6 - 11*a^3*b^3*d^7)*x^4 + 1225*(3*b^6*c^4*d^3 + 4*a*b^5*c^3*d^4 + 6*a^2*b^4*c^2*d^5 + 12*a^3*b^3*c*d^6 - 25*a^4*b^2*d^7)*x^3 + 147*(12*b^6*c^5*d^2 + 15*a*b^5*c^4*d^3 + 20*a^2*b^4*c^3*d^4 + 30*a^3*b^3*c^2*d^5 + 60*a^4*b^2*c*d^6 - 137*a^5*b*d^7)*x^2 + 49*(10*b^6*c^6*d + 12*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 + 30*a^4*b^2*c^2*d^5 + 60*a^5*b*c*d^6 - 147*a^6*d^7)*x + (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)/b)/((b*x + a)^7*b^7)","B",0
1291,1,489,0,1.289776," ","integrate((d*x+c)^7/(b*x+a)^9,x, algorithm=""giac"")","-\frac{8 \, b^{7} d^{7} x^{7} + 28 \, b^{7} c d^{6} x^{6} + 28 \, a b^{6} d^{7} x^{6} + 56 \, b^{7} c^{2} d^{5} x^{5} + 56 \, a b^{6} c d^{6} x^{5} + 56 \, a^{2} b^{5} d^{7} x^{5} + 70 \, b^{7} c^{3} d^{4} x^{4} + 70 \, a b^{6} c^{2} d^{5} x^{4} + 70 \, a^{2} b^{5} c d^{6} x^{4} + 70 \, a^{3} b^{4} d^{7} x^{4} + 56 \, b^{7} c^{4} d^{3} x^{3} + 56 \, a b^{6} c^{3} d^{4} x^{3} + 56 \, a^{2} b^{5} c^{2} d^{5} x^{3} + 56 \, a^{3} b^{4} c d^{6} x^{3} + 56 \, a^{4} b^{3} d^{7} x^{3} + 28 \, b^{7} c^{5} d^{2} x^{2} + 28 \, a b^{6} c^{4} d^{3} x^{2} + 28 \, a^{2} b^{5} c^{3} d^{4} x^{2} + 28 \, a^{3} b^{4} c^{2} d^{5} x^{2} + 28 \, a^{4} b^{3} c d^{6} x^{2} + 28 \, a^{5} b^{2} d^{7} x^{2} + 8 \, b^{7} c^{6} d x + 8 \, a b^{6} c^{5} d^{2} x + 8 \, a^{2} b^{5} c^{4} d^{3} x + 8 \, a^{3} b^{4} c^{3} d^{4} x + 8 \, a^{4} b^{3} c^{2} d^{5} x + 8 \, a^{5} b^{2} c d^{6} x + 8 \, a^{6} b d^{7} x + 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}}{8 \, {\left(b x + a\right)}^{8} b^{8}}"," ",0,"-1/8*(8*b^7*d^7*x^7 + 28*b^7*c*d^6*x^6 + 28*a*b^6*d^7*x^6 + 56*b^7*c^2*d^5*x^5 + 56*a*b^6*c*d^6*x^5 + 56*a^2*b^5*d^7*x^5 + 70*b^7*c^3*d^4*x^4 + 70*a*b^6*c^2*d^5*x^4 + 70*a^2*b^5*c*d^6*x^4 + 70*a^3*b^4*d^7*x^4 + 56*b^7*c^4*d^3*x^3 + 56*a*b^6*c^3*d^4*x^3 + 56*a^2*b^5*c^2*d^5*x^3 + 56*a^3*b^4*c*d^6*x^3 + 56*a^4*b^3*d^7*x^3 + 28*b^7*c^5*d^2*x^2 + 28*a*b^6*c^4*d^3*x^2 + 28*a^2*b^5*c^3*d^4*x^2 + 28*a^3*b^4*c^2*d^5*x^2 + 28*a^4*b^3*c*d^6*x^2 + 28*a^5*b^2*d^7*x^2 + 8*b^7*c^6*d*x + 8*a*b^6*c^5*d^2*x + 8*a^2*b^5*c^4*d^3*x + 8*a^3*b^4*c^3*d^4*x + 8*a^4*b^3*c^2*d^5*x + 8*a^5*b^2*c*d^6*x + 8*a^6*b*d^7*x + 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)/((b*x + a)^8*b^8)","B",0
1292,1,496,0,1.272383," ","integrate((d*x+c)^7/(b*x+a)^10,x, algorithm=""giac"")","-\frac{36 \, b^{7} d^{7} x^{7} + 168 \, b^{7} c d^{6} x^{6} + 84 \, a b^{6} d^{7} x^{6} + 378 \, b^{7} c^{2} d^{5} x^{5} + 252 \, a b^{6} c d^{6} x^{5} + 126 \, a^{2} b^{5} d^{7} x^{5} + 504 \, b^{7} c^{3} d^{4} x^{4} + 378 \, a b^{6} c^{2} d^{5} x^{4} + 252 \, a^{2} b^{5} c d^{6} x^{4} + 126 \, a^{3} b^{4} d^{7} x^{4} + 420 \, b^{7} c^{4} d^{3} x^{3} + 336 \, a b^{6} c^{3} d^{4} x^{3} + 252 \, a^{2} b^{5} c^{2} d^{5} x^{3} + 168 \, a^{3} b^{4} c d^{6} x^{3} + 84 \, a^{4} b^{3} d^{7} x^{3} + 216 \, b^{7} c^{5} d^{2} x^{2} + 180 \, a b^{6} c^{4} d^{3} x^{2} + 144 \, a^{2} b^{5} c^{3} d^{4} x^{2} + 108 \, a^{3} b^{4} c^{2} d^{5} x^{2} + 72 \, a^{4} b^{3} c d^{6} x^{2} + 36 \, a^{5} b^{2} d^{7} x^{2} + 63 \, b^{7} c^{6} d x + 54 \, a b^{6} c^{5} d^{2} x + 45 \, a^{2} b^{5} c^{4} d^{3} x + 36 \, a^{3} b^{4} c^{3} d^{4} x + 27 \, a^{4} b^{3} c^{2} d^{5} x + 18 \, a^{5} b^{2} c d^{6} x + 9 \, a^{6} b d^{7} x + 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}}{72 \, {\left(b x + a\right)}^{9} b^{8}}"," ",0,"-1/72*(36*b^7*d^7*x^7 + 168*b^7*c*d^6*x^6 + 84*a*b^6*d^7*x^6 + 378*b^7*c^2*d^5*x^5 + 252*a*b^6*c*d^6*x^5 + 126*a^2*b^5*d^7*x^5 + 504*b^7*c^3*d^4*x^4 + 378*a*b^6*c^2*d^5*x^4 + 252*a^2*b^5*c*d^6*x^4 + 126*a^3*b^4*d^7*x^4 + 420*b^7*c^4*d^3*x^3 + 336*a*b^6*c^3*d^4*x^3 + 252*a^2*b^5*c^2*d^5*x^3 + 168*a^3*b^4*c*d^6*x^3 + 84*a^4*b^3*d^7*x^3 + 216*b^7*c^5*d^2*x^2 + 180*a*b^6*c^4*d^3*x^2 + 144*a^2*b^5*c^3*d^4*x^2 + 108*a^3*b^4*c^2*d^5*x^2 + 72*a^4*b^3*c*d^6*x^2 + 36*a^5*b^2*d^7*x^2 + 63*b^7*c^6*d*x + 54*a*b^6*c^5*d^2*x + 45*a^2*b^5*c^4*d^3*x + 36*a^3*b^4*c^3*d^4*x + 27*a^4*b^3*c^2*d^5*x + 18*a^5*b^2*c*d^6*x + 9*a^6*b*d^7*x + 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)/((b*x + a)^9*b^8)","B",0
1293,1,496,0,1.311333," ","integrate((d*x+c)^7/(b*x+a)^11,x, algorithm=""giac"")","-\frac{120 \, b^{7} d^{7} x^{7} + 630 \, b^{7} c d^{6} x^{6} + 210 \, a b^{6} d^{7} x^{6} + 1512 \, b^{7} c^{2} d^{5} x^{5} + 756 \, a b^{6} c d^{6} x^{5} + 252 \, a^{2} b^{5} d^{7} x^{5} + 2100 \, b^{7} c^{3} d^{4} x^{4} + 1260 \, a b^{6} c^{2} d^{5} x^{4} + 630 \, a^{2} b^{5} c d^{6} x^{4} + 210 \, a^{3} b^{4} d^{7} x^{4} + 1800 \, b^{7} c^{4} d^{3} x^{3} + 1200 \, a b^{6} c^{3} d^{4} x^{3} + 720 \, a^{2} b^{5} c^{2} d^{5} x^{3} + 360 \, a^{3} b^{4} c d^{6} x^{3} + 120 \, a^{4} b^{3} d^{7} x^{3} + 945 \, b^{7} c^{5} d^{2} x^{2} + 675 \, a b^{6} c^{4} d^{3} x^{2} + 450 \, a^{2} b^{5} c^{3} d^{4} x^{2} + 270 \, a^{3} b^{4} c^{2} d^{5} x^{2} + 135 \, a^{4} b^{3} c d^{6} x^{2} + 45 \, a^{5} b^{2} d^{7} x^{2} + 280 \, b^{7} c^{6} d x + 210 \, a b^{6} c^{5} d^{2} x + 150 \, a^{2} b^{5} c^{4} d^{3} x + 100 \, a^{3} b^{4} c^{3} d^{4} x + 60 \, a^{4} b^{3} c^{2} d^{5} x + 30 \, a^{5} b^{2} c d^{6} x + 10 \, a^{6} b d^{7} x + 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}}{360 \, {\left(b x + a\right)}^{10} b^{8}}"," ",0,"-1/360*(120*b^7*d^7*x^7 + 630*b^7*c*d^6*x^6 + 210*a*b^6*d^7*x^6 + 1512*b^7*c^2*d^5*x^5 + 756*a*b^6*c*d^6*x^5 + 252*a^2*b^5*d^7*x^5 + 2100*b^7*c^3*d^4*x^4 + 1260*a*b^6*c^2*d^5*x^4 + 630*a^2*b^5*c*d^6*x^4 + 210*a^3*b^4*d^7*x^4 + 1800*b^7*c^4*d^3*x^3 + 1200*a*b^6*c^3*d^4*x^3 + 720*a^2*b^5*c^2*d^5*x^3 + 360*a^3*b^4*c*d^6*x^3 + 120*a^4*b^3*d^7*x^3 + 945*b^7*c^5*d^2*x^2 + 675*a*b^6*c^4*d^3*x^2 + 450*a^2*b^5*c^3*d^4*x^2 + 270*a^3*b^4*c^2*d^5*x^2 + 135*a^4*b^3*c*d^6*x^2 + 45*a^5*b^2*d^7*x^2 + 280*b^7*c^6*d*x + 210*a*b^6*c^5*d^2*x + 150*a^2*b^5*c^4*d^3*x + 100*a^3*b^4*c^3*d^4*x + 60*a^4*b^3*c^2*d^5*x + 30*a^5*b^2*c*d^6*x + 10*a^6*b*d^7*x + 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)/((b*x + a)^10*b^8)","B",0
1294,1,496,0,1.303102," ","integrate((d*x+c)^7/(b*x+a)^12,x, algorithm=""giac"")","-\frac{330 \, b^{7} d^{7} x^{7} + 1848 \, b^{7} c d^{6} x^{6} + 462 \, a b^{6} d^{7} x^{6} + 4620 \, b^{7} c^{2} d^{5} x^{5} + 1848 \, a b^{6} c d^{6} x^{5} + 462 \, a^{2} b^{5} d^{7} x^{5} + 6600 \, b^{7} c^{3} d^{4} x^{4} + 3300 \, a b^{6} c^{2} d^{5} x^{4} + 1320 \, a^{2} b^{5} c d^{6} x^{4} + 330 \, a^{3} b^{4} d^{7} x^{4} + 5775 \, b^{7} c^{4} d^{3} x^{3} + 3300 \, a b^{6} c^{3} d^{4} x^{3} + 1650 \, a^{2} b^{5} c^{2} d^{5} x^{3} + 660 \, a^{3} b^{4} c d^{6} x^{3} + 165 \, a^{4} b^{3} d^{7} x^{3} + 3080 \, b^{7} c^{5} d^{2} x^{2} + 1925 \, a b^{6} c^{4} d^{3} x^{2} + 1100 \, a^{2} b^{5} c^{3} d^{4} x^{2} + 550 \, a^{3} b^{4} c^{2} d^{5} x^{2} + 220 \, a^{4} b^{3} c d^{6} x^{2} + 55 \, a^{5} b^{2} d^{7} x^{2} + 924 \, b^{7} c^{6} d x + 616 \, a b^{6} c^{5} d^{2} x + 385 \, a^{2} b^{5} c^{4} d^{3} x + 220 \, a^{3} b^{4} c^{3} d^{4} x + 110 \, a^{4} b^{3} c^{2} d^{5} x + 44 \, a^{5} b^{2} c d^{6} x + 11 \, a^{6} b d^{7} x + 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}}{1320 \, {\left(b x + a\right)}^{11} b^{8}}"," ",0,"-1/1320*(330*b^7*d^7*x^7 + 1848*b^7*c*d^6*x^6 + 462*a*b^6*d^7*x^6 + 4620*b^7*c^2*d^5*x^5 + 1848*a*b^6*c*d^6*x^5 + 462*a^2*b^5*d^7*x^5 + 6600*b^7*c^3*d^4*x^4 + 3300*a*b^6*c^2*d^5*x^4 + 1320*a^2*b^5*c*d^6*x^4 + 330*a^3*b^4*d^7*x^4 + 5775*b^7*c^4*d^3*x^3 + 3300*a*b^6*c^3*d^4*x^3 + 1650*a^2*b^5*c^2*d^5*x^3 + 660*a^3*b^4*c*d^6*x^3 + 165*a^4*b^3*d^7*x^3 + 3080*b^7*c^5*d^2*x^2 + 1925*a*b^6*c^4*d^3*x^2 + 1100*a^2*b^5*c^3*d^4*x^2 + 550*a^3*b^4*c^2*d^5*x^2 + 220*a^4*b^3*c*d^6*x^2 + 55*a^5*b^2*d^7*x^2 + 924*b^7*c^6*d*x + 616*a*b^6*c^5*d^2*x + 385*a^2*b^5*c^4*d^3*x + 220*a^3*b^4*c^3*d^4*x + 110*a^4*b^3*c^2*d^5*x + 44*a^5*b^2*c*d^6*x + 11*a^6*b*d^7*x + 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)/((b*x + a)^11*b^8)","B",0
1295,1,496,0,1.264118," ","integrate((d*x+c)^7/(b*x+a)^13,x, algorithm=""giac"")","-\frac{792 \, b^{7} d^{7} x^{7} + 4620 \, b^{7} c d^{6} x^{6} + 924 \, a b^{6} d^{7} x^{6} + 11880 \, b^{7} c^{2} d^{5} x^{5} + 3960 \, a b^{6} c d^{6} x^{5} + 792 \, a^{2} b^{5} d^{7} x^{5} + 17325 \, b^{7} c^{3} d^{4} x^{4} + 7425 \, a b^{6} c^{2} d^{5} x^{4} + 2475 \, a^{2} b^{5} c d^{6} x^{4} + 495 \, a^{3} b^{4} d^{7} x^{4} + 15400 \, b^{7} c^{4} d^{3} x^{3} + 7700 \, a b^{6} c^{3} d^{4} x^{3} + 3300 \, a^{2} b^{5} c^{2} d^{5} x^{3} + 1100 \, a^{3} b^{4} c d^{6} x^{3} + 220 \, a^{4} b^{3} d^{7} x^{3} + 8316 \, b^{7} c^{5} d^{2} x^{2} + 4620 \, a b^{6} c^{4} d^{3} x^{2} + 2310 \, a^{2} b^{5} c^{3} d^{4} x^{2} + 990 \, a^{3} b^{4} c^{2} d^{5} x^{2} + 330 \, a^{4} b^{3} c d^{6} x^{2} + 66 \, a^{5} b^{2} d^{7} x^{2} + 2520 \, b^{7} c^{6} d x + 1512 \, a b^{6} c^{5} d^{2} x + 840 \, a^{2} b^{5} c^{4} d^{3} x + 420 \, a^{3} b^{4} c^{3} d^{4} x + 180 \, a^{4} b^{3} c^{2} d^{5} x + 60 \, a^{5} b^{2} c d^{6} x + 12 \, a^{6} b d^{7} x + 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}}{3960 \, {\left(b x + a\right)}^{12} b^{8}}"," ",0,"-1/3960*(792*b^7*d^7*x^7 + 4620*b^7*c*d^6*x^6 + 924*a*b^6*d^7*x^6 + 11880*b^7*c^2*d^5*x^5 + 3960*a*b^6*c*d^6*x^5 + 792*a^2*b^5*d^7*x^5 + 17325*b^7*c^3*d^4*x^4 + 7425*a*b^6*c^2*d^5*x^4 + 2475*a^2*b^5*c*d^6*x^4 + 495*a^3*b^4*d^7*x^4 + 15400*b^7*c^4*d^3*x^3 + 7700*a*b^6*c^3*d^4*x^3 + 3300*a^2*b^5*c^2*d^5*x^3 + 1100*a^3*b^4*c*d^6*x^3 + 220*a^4*b^3*d^7*x^3 + 8316*b^7*c^5*d^2*x^2 + 4620*a*b^6*c^4*d^3*x^2 + 2310*a^2*b^5*c^3*d^4*x^2 + 990*a^3*b^4*c^2*d^5*x^2 + 330*a^4*b^3*c*d^6*x^2 + 66*a^5*b^2*d^7*x^2 + 2520*b^7*c^6*d*x + 1512*a*b^6*c^5*d^2*x + 840*a^2*b^5*c^4*d^3*x + 420*a^3*b^4*c^3*d^4*x + 180*a^4*b^3*c^2*d^5*x + 60*a^5*b^2*c*d^6*x + 12*a^6*b*d^7*x + 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)/((b*x + a)^12*b^8)","B",0
1296,1,496,0,1.236552," ","integrate((d*x+c)^7/(b*x+a)^14,x, algorithm=""giac"")","-\frac{1716 \, b^{7} d^{7} x^{7} + 10296 \, b^{7} c d^{6} x^{6} + 1716 \, a b^{6} d^{7} x^{6} + 27027 \, b^{7} c^{2} d^{5} x^{5} + 7722 \, a b^{6} c d^{6} x^{5} + 1287 \, a^{2} b^{5} d^{7} x^{5} + 40040 \, b^{7} c^{3} d^{4} x^{4} + 15015 \, a b^{6} c^{2} d^{5} x^{4} + 4290 \, a^{2} b^{5} c d^{6} x^{4} + 715 \, a^{3} b^{4} d^{7} x^{4} + 36036 \, b^{7} c^{4} d^{3} x^{3} + 16016 \, a b^{6} c^{3} d^{4} x^{3} + 6006 \, a^{2} b^{5} c^{2} d^{5} x^{3} + 1716 \, a^{3} b^{4} c d^{6} x^{3} + 286 \, a^{4} b^{3} d^{7} x^{3} + 19656 \, b^{7} c^{5} d^{2} x^{2} + 9828 \, a b^{6} c^{4} d^{3} x^{2} + 4368 \, a^{2} b^{5} c^{3} d^{4} x^{2} + 1638 \, a^{3} b^{4} c^{2} d^{5} x^{2} + 468 \, a^{4} b^{3} c d^{6} x^{2} + 78 \, a^{5} b^{2} d^{7} x^{2} + 6006 \, b^{7} c^{6} d x + 3276 \, a b^{6} c^{5} d^{2} x + 1638 \, a^{2} b^{5} c^{4} d^{3} x + 728 \, a^{3} b^{4} c^{3} d^{4} x + 273 \, a^{4} b^{3} c^{2} d^{5} x + 78 \, a^{5} b^{2} c d^{6} x + 13 \, a^{6} b d^{7} x + 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}}{10296 \, {\left(b x + a\right)}^{13} b^{8}}"," ",0,"-1/10296*(1716*b^7*d^7*x^7 + 10296*b^7*c*d^6*x^6 + 1716*a*b^6*d^7*x^6 + 27027*b^7*c^2*d^5*x^5 + 7722*a*b^6*c*d^6*x^5 + 1287*a^2*b^5*d^7*x^5 + 40040*b^7*c^3*d^4*x^4 + 15015*a*b^6*c^2*d^5*x^4 + 4290*a^2*b^5*c*d^6*x^4 + 715*a^3*b^4*d^7*x^4 + 36036*b^7*c^4*d^3*x^3 + 16016*a*b^6*c^3*d^4*x^3 + 6006*a^2*b^5*c^2*d^5*x^3 + 1716*a^3*b^4*c*d^6*x^3 + 286*a^4*b^3*d^7*x^3 + 19656*b^7*c^5*d^2*x^2 + 9828*a*b^6*c^4*d^3*x^2 + 4368*a^2*b^5*c^3*d^4*x^2 + 1638*a^3*b^4*c^2*d^5*x^2 + 468*a^4*b^3*c*d^6*x^2 + 78*a^5*b^2*d^7*x^2 + 6006*b^7*c^6*d*x + 3276*a*b^6*c^5*d^2*x + 1638*a^2*b^5*c^4*d^3*x + 728*a^3*b^4*c^3*d^4*x + 273*a^4*b^3*c^2*d^5*x + 78*a^5*b^2*c*d^6*x + 13*a^6*b*d^7*x + 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)/((b*x + a)^13*b^8)","B",0
1297,1,496,0,1.284589," ","integrate((d*x+c)^7/(b*x+a)^15,x, algorithm=""giac"")","-\frac{3432 \, b^{7} d^{7} x^{7} + 21021 \, b^{7} c d^{6} x^{6} + 3003 \, a b^{6} d^{7} x^{6} + 56056 \, b^{7} c^{2} d^{5} x^{5} + 14014 \, a b^{6} c d^{6} x^{5} + 2002 \, a^{2} b^{5} d^{7} x^{5} + 84084 \, b^{7} c^{3} d^{4} x^{4} + 28028 \, a b^{6} c^{2} d^{5} x^{4} + 7007 \, a^{2} b^{5} c d^{6} x^{4} + 1001 \, a^{3} b^{4} d^{7} x^{4} + 76440 \, b^{7} c^{4} d^{3} x^{3} + 30576 \, a b^{6} c^{3} d^{4} x^{3} + 10192 \, a^{2} b^{5} c^{2} d^{5} x^{3} + 2548 \, a^{3} b^{4} c d^{6} x^{3} + 364 \, a^{4} b^{3} d^{7} x^{3} + 42042 \, b^{7} c^{5} d^{2} x^{2} + 19110 \, a b^{6} c^{4} d^{3} x^{2} + 7644 \, a^{2} b^{5} c^{3} d^{4} x^{2} + 2548 \, a^{3} b^{4} c^{2} d^{5} x^{2} + 637 \, a^{4} b^{3} c d^{6} x^{2} + 91 \, a^{5} b^{2} d^{7} x^{2} + 12936 \, b^{7} c^{6} d x + 6468 \, a b^{6} c^{5} d^{2} x + 2940 \, a^{2} b^{5} c^{4} d^{3} x + 1176 \, a^{3} b^{4} c^{3} d^{4} x + 392 \, a^{4} b^{3} c^{2} d^{5} x + 98 \, a^{5} b^{2} c d^{6} x + 14 \, a^{6} b d^{7} x + 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}}{24024 \, {\left(b x + a\right)}^{14} b^{8}}"," ",0,"-1/24024*(3432*b^7*d^7*x^7 + 21021*b^7*c*d^6*x^6 + 3003*a*b^6*d^7*x^6 + 56056*b^7*c^2*d^5*x^5 + 14014*a*b^6*c*d^6*x^5 + 2002*a^2*b^5*d^7*x^5 + 84084*b^7*c^3*d^4*x^4 + 28028*a*b^6*c^2*d^5*x^4 + 7007*a^2*b^5*c*d^6*x^4 + 1001*a^3*b^4*d^7*x^4 + 76440*b^7*c^4*d^3*x^3 + 30576*a*b^6*c^3*d^4*x^3 + 10192*a^2*b^5*c^2*d^5*x^3 + 2548*a^3*b^4*c*d^6*x^3 + 364*a^4*b^3*d^7*x^3 + 42042*b^7*c^5*d^2*x^2 + 19110*a*b^6*c^4*d^3*x^2 + 7644*a^2*b^5*c^3*d^4*x^2 + 2548*a^3*b^4*c^2*d^5*x^2 + 637*a^4*b^3*c*d^6*x^2 + 91*a^5*b^2*d^7*x^2 + 12936*b^7*c^6*d*x + 6468*a*b^6*c^5*d^2*x + 2940*a^2*b^5*c^4*d^3*x + 1176*a^3*b^4*c^3*d^4*x + 392*a^4*b^3*c^2*d^5*x + 98*a^5*b^2*c*d^6*x + 14*a^6*b*d^7*x + 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)/((b*x + a)^14*b^8)","B",0
1298,1,496,0,1.287903," ","integrate((d*x+c)^7/(b*x+a)^16,x, algorithm=""giac"")","-\frac{6435 \, b^{7} d^{7} x^{7} + 40040 \, b^{7} c d^{6} x^{6} + 5005 \, a b^{6} d^{7} x^{6} + 108108 \, b^{7} c^{2} d^{5} x^{5} + 24024 \, a b^{6} c d^{6} x^{5} + 3003 \, a^{2} b^{5} d^{7} x^{5} + 163800 \, b^{7} c^{3} d^{4} x^{4} + 49140 \, a b^{6} c^{2} d^{5} x^{4} + 10920 \, a^{2} b^{5} c d^{6} x^{4} + 1365 \, a^{3} b^{4} d^{7} x^{4} + 150150 \, b^{7} c^{4} d^{3} x^{3} + 54600 \, a b^{6} c^{3} d^{4} x^{3} + 16380 \, a^{2} b^{5} c^{2} d^{5} x^{3} + 3640 \, a^{3} b^{4} c d^{6} x^{3} + 455 \, a^{4} b^{3} d^{7} x^{3} + 83160 \, b^{7} c^{5} d^{2} x^{2} + 34650 \, a b^{6} c^{4} d^{3} x^{2} + 12600 \, a^{2} b^{5} c^{3} d^{4} x^{2} + 3780 \, a^{3} b^{4} c^{2} d^{5} x^{2} + 840 \, a^{4} b^{3} c d^{6} x^{2} + 105 \, a^{5} b^{2} d^{7} x^{2} + 25740 \, b^{7} c^{6} d x + 11880 \, a b^{6} c^{5} d^{2} x + 4950 \, a^{2} b^{5} c^{4} d^{3} x + 1800 \, a^{3} b^{4} c^{3} d^{4} x + 540 \, a^{4} b^{3} c^{2} d^{5} x + 120 \, a^{5} b^{2} c d^{6} x + 15 \, a^{6} b d^{7} x + 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}}{51480 \, {\left(b x + a\right)}^{15} b^{8}}"," ",0,"-1/51480*(6435*b^7*d^7*x^7 + 40040*b^7*c*d^6*x^6 + 5005*a*b^6*d^7*x^6 + 108108*b^7*c^2*d^5*x^5 + 24024*a*b^6*c*d^6*x^5 + 3003*a^2*b^5*d^7*x^5 + 163800*b^7*c^3*d^4*x^4 + 49140*a*b^6*c^2*d^5*x^4 + 10920*a^2*b^5*c*d^6*x^4 + 1365*a^3*b^4*d^7*x^4 + 150150*b^7*c^4*d^3*x^3 + 54600*a*b^6*c^3*d^4*x^3 + 16380*a^2*b^5*c^2*d^5*x^3 + 3640*a^3*b^4*c*d^6*x^3 + 455*a^4*b^3*d^7*x^3 + 83160*b^7*c^5*d^2*x^2 + 34650*a*b^6*c^4*d^3*x^2 + 12600*a^2*b^5*c^3*d^4*x^2 + 3780*a^3*b^4*c^2*d^5*x^2 + 840*a^4*b^3*c*d^6*x^2 + 105*a^5*b^2*d^7*x^2 + 25740*b^7*c^6*d*x + 11880*a*b^6*c^5*d^2*x + 4950*a^2*b^5*c^4*d^3*x + 1800*a^3*b^4*c^3*d^4*x + 540*a^4*b^3*c^2*d^5*x + 120*a^5*b^2*c*d^6*x + 15*a^6*b*d^7*x + 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)/((b*x + a)^15*b^8)","B",0
1299,1,2186,0,1.313543," ","integrate((b*x+a)^12*(d*x+c)^10,x, algorithm=""giac"")","\frac{1}{23} \, b^{12} d^{10} x^{23} + \frac{5}{11} \, b^{12} c d^{9} x^{22} + \frac{6}{11} \, a b^{11} d^{10} x^{22} + \frac{15}{7} \, b^{12} c^{2} d^{8} x^{21} + \frac{40}{7} \, a b^{11} c d^{9} x^{21} + \frac{22}{7} \, a^{2} b^{10} d^{10} x^{21} + 6 \, b^{12} c^{3} d^{7} x^{20} + 27 \, a b^{11} c^{2} d^{8} x^{20} + 33 \, a^{2} b^{10} c d^{9} x^{20} + 11 \, a^{3} b^{9} d^{10} x^{20} + \frac{210}{19} \, b^{12} c^{4} d^{6} x^{19} + \frac{1440}{19} \, a b^{11} c^{3} d^{7} x^{19} + \frac{2970}{19} \, a^{2} b^{10} c^{2} d^{8} x^{19} + \frac{2200}{19} \, a^{3} b^{9} c d^{9} x^{19} + \frac{495}{19} \, a^{4} b^{8} d^{10} x^{19} + 14 \, b^{12} c^{5} d^{5} x^{18} + 140 \, a b^{11} c^{4} d^{6} x^{18} + 440 \, a^{2} b^{10} c^{3} d^{7} x^{18} + 550 \, a^{3} b^{9} c^{2} d^{8} x^{18} + 275 \, a^{4} b^{8} c d^{9} x^{18} + 44 \, a^{5} b^{7} d^{10} x^{18} + \frac{210}{17} \, b^{12} c^{6} d^{4} x^{17} + \frac{3024}{17} \, a b^{11} c^{5} d^{5} x^{17} + \frac{13860}{17} \, a^{2} b^{10} c^{4} d^{6} x^{17} + \frac{26400}{17} \, a^{3} b^{9} c^{3} d^{7} x^{17} + \frac{22275}{17} \, a^{4} b^{8} c^{2} d^{8} x^{17} + \frac{7920}{17} \, a^{5} b^{7} c d^{9} x^{17} + \frac{924}{17} \, a^{6} b^{6} d^{10} x^{17} + \frac{15}{2} \, b^{12} c^{7} d^{3} x^{16} + \frac{315}{2} \, a b^{11} c^{6} d^{4} x^{16} + \frac{2079}{2} \, a^{2} b^{10} c^{5} d^{5} x^{16} + \frac{5775}{2} \, a^{3} b^{9} c^{4} d^{6} x^{16} + \frac{7425}{2} \, a^{4} b^{8} c^{3} d^{7} x^{16} + \frac{4455}{2} \, a^{5} b^{7} c^{2} d^{8} x^{16} + \frac{1155}{2} \, a^{6} b^{6} c d^{9} x^{16} + \frac{99}{2} \, a^{7} b^{5} d^{10} x^{16} + 3 \, b^{12} c^{8} d^{2} x^{15} + 96 \, a b^{11} c^{7} d^{3} x^{15} + 924 \, a^{2} b^{10} c^{6} d^{4} x^{15} + 3696 \, a^{3} b^{9} c^{5} d^{5} x^{15} + 6930 \, a^{4} b^{8} c^{4} d^{6} x^{15} + 6336 \, a^{5} b^{7} c^{3} d^{7} x^{15} + 2772 \, a^{6} b^{6} c^{2} d^{8} x^{15} + 528 \, a^{7} b^{5} c d^{9} x^{15} + 33 \, a^{8} b^{4} d^{10} x^{15} + \frac{5}{7} \, b^{12} c^{9} d x^{14} + \frac{270}{7} \, a b^{11} c^{8} d^{2} x^{14} + \frac{3960}{7} \, a^{2} b^{10} c^{7} d^{3} x^{14} + 3300 \, a^{3} b^{9} c^{6} d^{4} x^{14} + 8910 \, a^{4} b^{8} c^{5} d^{5} x^{14} + 11880 \, a^{5} b^{7} c^{4} d^{6} x^{14} + 7920 \, a^{6} b^{6} c^{3} d^{7} x^{14} + \frac{17820}{7} \, a^{7} b^{5} c^{2} d^{8} x^{14} + \frac{2475}{7} \, a^{8} b^{4} c d^{9} x^{14} + \frac{110}{7} \, a^{9} b^{3} d^{10} x^{14} + \frac{1}{13} \, b^{12} c^{10} x^{13} + \frac{120}{13} \, a b^{11} c^{9} d x^{13} + \frac{2970}{13} \, a^{2} b^{10} c^{8} d^{2} x^{13} + \frac{26400}{13} \, a^{3} b^{9} c^{7} d^{3} x^{13} + \frac{103950}{13} \, a^{4} b^{8} c^{6} d^{4} x^{13} + \frac{199584}{13} \, a^{5} b^{7} c^{5} d^{5} x^{13} + \frac{194040}{13} \, a^{6} b^{6} c^{4} d^{6} x^{13} + \frac{95040}{13} \, a^{7} b^{5} c^{3} d^{7} x^{13} + \frac{22275}{13} \, a^{8} b^{4} c^{2} d^{8} x^{13} + \frac{2200}{13} \, a^{9} b^{3} c d^{9} x^{13} + \frac{66}{13} \, a^{10} b^{2} d^{10} x^{13} + a b^{11} c^{10} x^{12} + 55 \, a^{2} b^{10} c^{9} d x^{12} + 825 \, a^{3} b^{9} c^{8} d^{2} x^{12} + 4950 \, a^{4} b^{8} c^{7} d^{3} x^{12} + 13860 \, a^{5} b^{7} c^{6} d^{4} x^{12} + 19404 \, a^{6} b^{6} c^{5} d^{5} x^{12} + 13860 \, a^{7} b^{5} c^{4} d^{6} x^{12} + 4950 \, a^{8} b^{4} c^{3} d^{7} x^{12} + 825 \, a^{9} b^{3} c^{2} d^{8} x^{12} + 55 \, a^{10} b^{2} c d^{9} x^{12} + a^{11} b d^{10} x^{12} + 6 \, a^{2} b^{10} c^{10} x^{11} + 200 \, a^{3} b^{9} c^{9} d x^{11} + 2025 \, a^{4} b^{8} c^{8} d^{2} x^{11} + 8640 \, a^{5} b^{7} c^{7} d^{3} x^{11} + 17640 \, a^{6} b^{6} c^{6} d^{4} x^{11} + 18144 \, a^{7} b^{5} c^{5} d^{5} x^{11} + 9450 \, a^{8} b^{4} c^{4} d^{6} x^{11} + 2400 \, a^{9} b^{3} c^{3} d^{7} x^{11} + 270 \, a^{10} b^{2} c^{2} d^{8} x^{11} + \frac{120}{11} \, a^{11} b c d^{9} x^{11} + \frac{1}{11} \, a^{12} d^{10} x^{11} + 22 \, a^{3} b^{9} c^{10} x^{10} + 495 \, a^{4} b^{8} c^{9} d x^{10} + 3564 \, a^{5} b^{7} c^{8} d^{2} x^{10} + 11088 \, a^{6} b^{6} c^{7} d^{3} x^{10} + 16632 \, a^{7} b^{5} c^{6} d^{4} x^{10} + 12474 \, a^{8} b^{4} c^{5} d^{5} x^{10} + 4620 \, a^{9} b^{3} c^{4} d^{6} x^{10} + 792 \, a^{10} b^{2} c^{3} d^{7} x^{10} + 54 \, a^{11} b c^{2} d^{8} x^{10} + a^{12} c d^{9} x^{10} + 55 \, a^{4} b^{8} c^{10} x^{9} + 880 \, a^{5} b^{7} c^{9} d x^{9} + 4620 \, a^{6} b^{6} c^{8} d^{2} x^{9} + 10560 \, a^{7} b^{5} c^{7} d^{3} x^{9} + 11550 \, a^{8} b^{4} c^{6} d^{4} x^{9} + 6160 \, a^{9} b^{3} c^{5} d^{5} x^{9} + 1540 \, a^{10} b^{2} c^{4} d^{6} x^{9} + 160 \, a^{11} b c^{3} d^{7} x^{9} + 5 \, a^{12} c^{2} d^{8} x^{9} + 99 \, a^{5} b^{7} c^{10} x^{8} + 1155 \, a^{6} b^{6} c^{9} d x^{8} + 4455 \, a^{7} b^{5} c^{8} d^{2} x^{8} + 7425 \, a^{8} b^{4} c^{7} d^{3} x^{8} + 5775 \, a^{9} b^{3} c^{6} d^{4} x^{8} + 2079 \, a^{10} b^{2} c^{5} d^{5} x^{8} + 315 \, a^{11} b c^{4} d^{6} x^{8} + 15 \, a^{12} c^{3} d^{7} x^{8} + 132 \, a^{6} b^{6} c^{10} x^{7} + \frac{7920}{7} \, a^{7} b^{5} c^{9} d x^{7} + \frac{22275}{7} \, a^{8} b^{4} c^{8} d^{2} x^{7} + \frac{26400}{7} \, a^{9} b^{3} c^{7} d^{3} x^{7} + 1980 \, a^{10} b^{2} c^{6} d^{4} x^{7} + 432 \, a^{11} b c^{5} d^{5} x^{7} + 30 \, a^{12} c^{4} d^{6} x^{7} + 132 \, a^{7} b^{5} c^{10} x^{6} + 825 \, a^{8} b^{4} c^{9} d x^{6} + 1650 \, a^{9} b^{3} c^{8} d^{2} x^{6} + 1320 \, a^{10} b^{2} c^{7} d^{3} x^{6} + 420 \, a^{11} b c^{6} d^{4} x^{6} + 42 \, a^{12} c^{5} d^{5} x^{6} + 99 \, a^{8} b^{4} c^{10} x^{5} + 440 \, a^{9} b^{3} c^{9} d x^{5} + 594 \, a^{10} b^{2} c^{8} d^{2} x^{5} + 288 \, a^{11} b c^{7} d^{3} x^{5} + 42 \, a^{12} c^{6} d^{4} x^{5} + 55 \, a^{9} b^{3} c^{10} x^{4} + 165 \, a^{10} b^{2} c^{9} d x^{4} + 135 \, a^{11} b c^{8} d^{2} x^{4} + 30 \, a^{12} c^{7} d^{3} x^{4} + 22 \, a^{10} b^{2} c^{10} x^{3} + 40 \, a^{11} b c^{9} d x^{3} + 15 \, a^{12} c^{8} d^{2} x^{3} + 6 \, a^{11} b c^{10} x^{2} + 5 \, a^{12} c^{9} d x^{2} + a^{12} c^{10} x"," ",0,"1/23*b^12*d^10*x^23 + 5/11*b^12*c*d^9*x^22 + 6/11*a*b^11*d^10*x^22 + 15/7*b^12*c^2*d^8*x^21 + 40/7*a*b^11*c*d^9*x^21 + 22/7*a^2*b^10*d^10*x^21 + 6*b^12*c^3*d^7*x^20 + 27*a*b^11*c^2*d^8*x^20 + 33*a^2*b^10*c*d^9*x^20 + 11*a^3*b^9*d^10*x^20 + 210/19*b^12*c^4*d^6*x^19 + 1440/19*a*b^11*c^3*d^7*x^19 + 2970/19*a^2*b^10*c^2*d^8*x^19 + 2200/19*a^3*b^9*c*d^9*x^19 + 495/19*a^4*b^8*d^10*x^19 + 14*b^12*c^5*d^5*x^18 + 140*a*b^11*c^4*d^6*x^18 + 440*a^2*b^10*c^3*d^7*x^18 + 550*a^3*b^9*c^2*d^8*x^18 + 275*a^4*b^8*c*d^9*x^18 + 44*a^5*b^7*d^10*x^18 + 210/17*b^12*c^6*d^4*x^17 + 3024/17*a*b^11*c^5*d^5*x^17 + 13860/17*a^2*b^10*c^4*d^6*x^17 + 26400/17*a^3*b^9*c^3*d^7*x^17 + 22275/17*a^4*b^8*c^2*d^8*x^17 + 7920/17*a^5*b^7*c*d^9*x^17 + 924/17*a^6*b^6*d^10*x^17 + 15/2*b^12*c^7*d^3*x^16 + 315/2*a*b^11*c^6*d^4*x^16 + 2079/2*a^2*b^10*c^5*d^5*x^16 + 5775/2*a^3*b^9*c^4*d^6*x^16 + 7425/2*a^4*b^8*c^3*d^7*x^16 + 4455/2*a^5*b^7*c^2*d^8*x^16 + 1155/2*a^6*b^6*c*d^9*x^16 + 99/2*a^7*b^5*d^10*x^16 + 3*b^12*c^8*d^2*x^15 + 96*a*b^11*c^7*d^3*x^15 + 924*a^2*b^10*c^6*d^4*x^15 + 3696*a^3*b^9*c^5*d^5*x^15 + 6930*a^4*b^8*c^4*d^6*x^15 + 6336*a^5*b^7*c^3*d^7*x^15 + 2772*a^6*b^6*c^2*d^8*x^15 + 528*a^7*b^5*c*d^9*x^15 + 33*a^8*b^4*d^10*x^15 + 5/7*b^12*c^9*d*x^14 + 270/7*a*b^11*c^8*d^2*x^14 + 3960/7*a^2*b^10*c^7*d^3*x^14 + 3300*a^3*b^9*c^6*d^4*x^14 + 8910*a^4*b^8*c^5*d^5*x^14 + 11880*a^5*b^7*c^4*d^6*x^14 + 7920*a^6*b^6*c^3*d^7*x^14 + 17820/7*a^7*b^5*c^2*d^8*x^14 + 2475/7*a^8*b^4*c*d^9*x^14 + 110/7*a^9*b^3*d^10*x^14 + 1/13*b^12*c^10*x^13 + 120/13*a*b^11*c^9*d*x^13 + 2970/13*a^2*b^10*c^8*d^2*x^13 + 26400/13*a^3*b^9*c^7*d^3*x^13 + 103950/13*a^4*b^8*c^6*d^4*x^13 + 199584/13*a^5*b^7*c^5*d^5*x^13 + 194040/13*a^6*b^6*c^4*d^6*x^13 + 95040/13*a^7*b^5*c^3*d^7*x^13 + 22275/13*a^8*b^4*c^2*d^8*x^13 + 2200/13*a^9*b^3*c*d^9*x^13 + 66/13*a^10*b^2*d^10*x^13 + a*b^11*c^10*x^12 + 55*a^2*b^10*c^9*d*x^12 + 825*a^3*b^9*c^8*d^2*x^12 + 4950*a^4*b^8*c^7*d^3*x^12 + 13860*a^5*b^7*c^6*d^4*x^12 + 19404*a^6*b^6*c^5*d^5*x^12 + 13860*a^7*b^5*c^4*d^6*x^12 + 4950*a^8*b^4*c^3*d^7*x^12 + 825*a^9*b^3*c^2*d^8*x^12 + 55*a^10*b^2*c*d^9*x^12 + a^11*b*d^10*x^12 + 6*a^2*b^10*c^10*x^11 + 200*a^3*b^9*c^9*d*x^11 + 2025*a^4*b^8*c^8*d^2*x^11 + 8640*a^5*b^7*c^7*d^3*x^11 + 17640*a^6*b^6*c^6*d^4*x^11 + 18144*a^7*b^5*c^5*d^5*x^11 + 9450*a^8*b^4*c^4*d^6*x^11 + 2400*a^9*b^3*c^3*d^7*x^11 + 270*a^10*b^2*c^2*d^8*x^11 + 120/11*a^11*b*c*d^9*x^11 + 1/11*a^12*d^10*x^11 + 22*a^3*b^9*c^10*x^10 + 495*a^4*b^8*c^9*d*x^10 + 3564*a^5*b^7*c^8*d^2*x^10 + 11088*a^6*b^6*c^7*d^3*x^10 + 16632*a^7*b^5*c^6*d^4*x^10 + 12474*a^8*b^4*c^5*d^5*x^10 + 4620*a^9*b^3*c^4*d^6*x^10 + 792*a^10*b^2*c^3*d^7*x^10 + 54*a^11*b*c^2*d^8*x^10 + a^12*c*d^9*x^10 + 55*a^4*b^8*c^10*x^9 + 880*a^5*b^7*c^9*d*x^9 + 4620*a^6*b^6*c^8*d^2*x^9 + 10560*a^7*b^5*c^7*d^3*x^9 + 11550*a^8*b^4*c^6*d^4*x^9 + 6160*a^9*b^3*c^5*d^5*x^9 + 1540*a^10*b^2*c^4*d^6*x^9 + 160*a^11*b*c^3*d^7*x^9 + 5*a^12*c^2*d^8*x^9 + 99*a^5*b^7*c^10*x^8 + 1155*a^6*b^6*c^9*d*x^8 + 4455*a^7*b^5*c^8*d^2*x^8 + 7425*a^8*b^4*c^7*d^3*x^8 + 5775*a^9*b^3*c^6*d^4*x^8 + 2079*a^10*b^2*c^5*d^5*x^8 + 315*a^11*b*c^4*d^6*x^8 + 15*a^12*c^3*d^7*x^8 + 132*a^6*b^6*c^10*x^7 + 7920/7*a^7*b^5*c^9*d*x^7 + 22275/7*a^8*b^4*c^8*d^2*x^7 + 26400/7*a^9*b^3*c^7*d^3*x^7 + 1980*a^10*b^2*c^6*d^4*x^7 + 432*a^11*b*c^5*d^5*x^7 + 30*a^12*c^4*d^6*x^7 + 132*a^7*b^5*c^10*x^6 + 825*a^8*b^4*c^9*d*x^6 + 1650*a^9*b^3*c^8*d^2*x^6 + 1320*a^10*b^2*c^7*d^3*x^6 + 420*a^11*b*c^6*d^4*x^6 + 42*a^12*c^5*d^5*x^6 + 99*a^8*b^4*c^10*x^5 + 440*a^9*b^3*c^9*d*x^5 + 594*a^10*b^2*c^8*d^2*x^5 + 288*a^11*b*c^7*d^3*x^5 + 42*a^12*c^6*d^4*x^5 + 55*a^9*b^3*c^10*x^4 + 165*a^10*b^2*c^9*d*x^4 + 135*a^11*b*c^8*d^2*x^4 + 30*a^12*c^7*d^3*x^4 + 22*a^10*b^2*c^10*x^3 + 40*a^11*b*c^9*d*x^3 + 15*a^12*c^8*d^2*x^3 + 6*a^11*b*c^10*x^2 + 5*a^12*c^9*d*x^2 + a^12*c^10*x","B",0
1300,1,2010,0,1.352498," ","integrate((b*x+a)^11*(d*x+c)^10,x, algorithm=""giac"")","\frac{1}{22} \, b^{11} d^{10} x^{22} + \frac{10}{21} \, b^{11} c d^{9} x^{21} + \frac{11}{21} \, a b^{10} d^{10} x^{21} + \frac{9}{4} \, b^{11} c^{2} d^{8} x^{20} + \frac{11}{2} \, a b^{10} c d^{9} x^{20} + \frac{11}{4} \, a^{2} b^{9} d^{10} x^{20} + \frac{120}{19} \, b^{11} c^{3} d^{7} x^{19} + \frac{495}{19} \, a b^{10} c^{2} d^{8} x^{19} + \frac{550}{19} \, a^{2} b^{9} c d^{9} x^{19} + \frac{165}{19} \, a^{3} b^{8} d^{10} x^{19} + \frac{35}{3} \, b^{11} c^{4} d^{6} x^{18} + \frac{220}{3} \, a b^{10} c^{3} d^{7} x^{18} + \frac{275}{2} \, a^{2} b^{9} c^{2} d^{8} x^{18} + \frac{275}{3} \, a^{3} b^{8} c d^{9} x^{18} + \frac{55}{3} \, a^{4} b^{7} d^{10} x^{18} + \frac{252}{17} \, b^{11} c^{5} d^{5} x^{17} + \frac{2310}{17} \, a b^{10} c^{4} d^{6} x^{17} + \frac{6600}{17} \, a^{2} b^{9} c^{3} d^{7} x^{17} + \frac{7425}{17} \, a^{3} b^{8} c^{2} d^{8} x^{17} + \frac{3300}{17} \, a^{4} b^{7} c d^{9} x^{17} + \frac{462}{17} \, a^{5} b^{6} d^{10} x^{17} + \frac{105}{8} \, b^{11} c^{6} d^{4} x^{16} + \frac{693}{4} \, a b^{10} c^{5} d^{5} x^{16} + \frac{5775}{8} \, a^{2} b^{9} c^{4} d^{6} x^{16} + \frac{2475}{2} \, a^{3} b^{8} c^{3} d^{7} x^{16} + \frac{7425}{8} \, a^{4} b^{7} c^{2} d^{8} x^{16} + \frac{1155}{4} \, a^{5} b^{6} c d^{9} x^{16} + \frac{231}{8} \, a^{6} b^{5} d^{10} x^{16} + 8 \, b^{11} c^{7} d^{3} x^{15} + 154 \, a b^{10} c^{6} d^{4} x^{15} + 924 \, a^{2} b^{9} c^{5} d^{5} x^{15} + 2310 \, a^{3} b^{8} c^{4} d^{6} x^{15} + 2640 \, a^{4} b^{7} c^{3} d^{7} x^{15} + 1386 \, a^{5} b^{6} c^{2} d^{8} x^{15} + 308 \, a^{6} b^{5} c d^{9} x^{15} + 22 \, a^{7} b^{4} d^{10} x^{15} + \frac{45}{14} \, b^{11} c^{8} d^{2} x^{14} + \frac{660}{7} \, a b^{10} c^{7} d^{3} x^{14} + 825 \, a^{2} b^{9} c^{6} d^{4} x^{14} + 2970 \, a^{3} b^{8} c^{5} d^{5} x^{14} + 4950 \, a^{4} b^{7} c^{4} d^{6} x^{14} + 3960 \, a^{5} b^{6} c^{3} d^{7} x^{14} + 1485 \, a^{6} b^{5} c^{2} d^{8} x^{14} + \frac{1650}{7} \, a^{7} b^{4} c d^{9} x^{14} + \frac{165}{14} \, a^{8} b^{3} d^{10} x^{14} + \frac{10}{13} \, b^{11} c^{9} d x^{13} + \frac{495}{13} \, a b^{10} c^{8} d^{2} x^{13} + \frac{6600}{13} \, a^{2} b^{9} c^{7} d^{3} x^{13} + \frac{34650}{13} \, a^{3} b^{8} c^{6} d^{4} x^{13} + \frac{83160}{13} \, a^{4} b^{7} c^{5} d^{5} x^{13} + \frac{97020}{13} \, a^{5} b^{6} c^{4} d^{6} x^{13} + \frac{55440}{13} \, a^{6} b^{5} c^{3} d^{7} x^{13} + \frac{14850}{13} \, a^{7} b^{4} c^{2} d^{8} x^{13} + \frac{1650}{13} \, a^{8} b^{3} c d^{9} x^{13} + \frac{55}{13} \, a^{9} b^{2} d^{10} x^{13} + \frac{1}{12} \, b^{11} c^{10} x^{12} + \frac{55}{6} \, a b^{10} c^{9} d x^{12} + \frac{825}{4} \, a^{2} b^{9} c^{8} d^{2} x^{12} + 1650 \, a^{3} b^{8} c^{7} d^{3} x^{12} + 5775 \, a^{4} b^{7} c^{6} d^{4} x^{12} + 9702 \, a^{5} b^{6} c^{5} d^{5} x^{12} + 8085 \, a^{6} b^{5} c^{4} d^{6} x^{12} + 3300 \, a^{7} b^{4} c^{3} d^{7} x^{12} + \frac{2475}{4} \, a^{8} b^{3} c^{2} d^{8} x^{12} + \frac{275}{6} \, a^{9} b^{2} c d^{9} x^{12} + \frac{11}{12} \, a^{10} b d^{10} x^{12} + a b^{10} c^{10} x^{11} + 50 \, a^{2} b^{9} c^{9} d x^{11} + 675 \, a^{3} b^{8} c^{8} d^{2} x^{11} + 3600 \, a^{4} b^{7} c^{7} d^{3} x^{11} + 8820 \, a^{5} b^{6} c^{6} d^{4} x^{11} + 10584 \, a^{6} b^{5} c^{5} d^{5} x^{11} + 6300 \, a^{7} b^{4} c^{4} d^{6} x^{11} + 1800 \, a^{8} b^{3} c^{3} d^{7} x^{11} + 225 \, a^{9} b^{2} c^{2} d^{8} x^{11} + 10 \, a^{10} b c d^{9} x^{11} + \frac{1}{11} \, a^{11} d^{10} x^{11} + \frac{11}{2} \, a^{2} b^{9} c^{10} x^{10} + 165 \, a^{3} b^{8} c^{9} d x^{10} + 1485 \, a^{4} b^{7} c^{8} d^{2} x^{10} + 5544 \, a^{5} b^{6} c^{7} d^{3} x^{10} + 9702 \, a^{6} b^{5} c^{6} d^{4} x^{10} + 8316 \, a^{7} b^{4} c^{5} d^{5} x^{10} + 3465 \, a^{8} b^{3} c^{4} d^{6} x^{10} + 660 \, a^{9} b^{2} c^{3} d^{7} x^{10} + \frac{99}{2} \, a^{10} b c^{2} d^{8} x^{10} + a^{11} c d^{9} x^{10} + \frac{55}{3} \, a^{3} b^{8} c^{10} x^{9} + \frac{1100}{3} \, a^{4} b^{7} c^{9} d x^{9} + 2310 \, a^{5} b^{6} c^{8} d^{2} x^{9} + 6160 \, a^{6} b^{5} c^{7} d^{3} x^{9} + 7700 \, a^{7} b^{4} c^{6} d^{4} x^{9} + 4620 \, a^{8} b^{3} c^{5} d^{5} x^{9} + \frac{3850}{3} \, a^{9} b^{2} c^{4} d^{6} x^{9} + \frac{440}{3} \, a^{10} b c^{3} d^{7} x^{9} + 5 \, a^{11} c^{2} d^{8} x^{9} + \frac{165}{4} \, a^{4} b^{7} c^{10} x^{8} + \frac{1155}{2} \, a^{5} b^{6} c^{9} d x^{8} + \frac{10395}{4} \, a^{6} b^{5} c^{8} d^{2} x^{8} + 4950 \, a^{7} b^{4} c^{7} d^{3} x^{8} + \frac{17325}{4} \, a^{8} b^{3} c^{6} d^{4} x^{8} + \frac{3465}{2} \, a^{9} b^{2} c^{5} d^{5} x^{8} + \frac{1155}{4} \, a^{10} b c^{4} d^{6} x^{8} + 15 \, a^{11} c^{3} d^{7} x^{8} + 66 \, a^{5} b^{6} c^{10} x^{7} + 660 \, a^{6} b^{5} c^{9} d x^{7} + \frac{14850}{7} \, a^{7} b^{4} c^{8} d^{2} x^{7} + \frac{19800}{7} \, a^{8} b^{3} c^{7} d^{3} x^{7} + 1650 \, a^{9} b^{2} c^{6} d^{4} x^{7} + 396 \, a^{10} b c^{5} d^{5} x^{7} + 30 \, a^{11} c^{4} d^{6} x^{7} + 77 \, a^{6} b^{5} c^{10} x^{6} + 550 \, a^{7} b^{4} c^{9} d x^{6} + \frac{2475}{2} \, a^{8} b^{3} c^{8} d^{2} x^{6} + 1100 \, a^{9} b^{2} c^{7} d^{3} x^{6} + 385 \, a^{10} b c^{6} d^{4} x^{6} + 42 \, a^{11} c^{5} d^{5} x^{6} + 66 \, a^{7} b^{4} c^{10} x^{5} + 330 \, a^{8} b^{3} c^{9} d x^{5} + 495 \, a^{9} b^{2} c^{8} d^{2} x^{5} + 264 \, a^{10} b c^{7} d^{3} x^{5} + 42 \, a^{11} c^{6} d^{4} x^{5} + \frac{165}{4} \, a^{8} b^{3} c^{10} x^{4} + \frac{275}{2} \, a^{9} b^{2} c^{9} d x^{4} + \frac{495}{4} \, a^{10} b c^{8} d^{2} x^{4} + 30 \, a^{11} c^{7} d^{3} x^{4} + \frac{55}{3} \, a^{9} b^{2} c^{10} x^{3} + \frac{110}{3} \, a^{10} b c^{9} d x^{3} + 15 \, a^{11} c^{8} d^{2} x^{3} + \frac{11}{2} \, a^{10} b c^{10} x^{2} + 5 \, a^{11} c^{9} d x^{2} + a^{11} c^{10} x"," ",0,"1/22*b^11*d^10*x^22 + 10/21*b^11*c*d^9*x^21 + 11/21*a*b^10*d^10*x^21 + 9/4*b^11*c^2*d^8*x^20 + 11/2*a*b^10*c*d^9*x^20 + 11/4*a^2*b^9*d^10*x^20 + 120/19*b^11*c^3*d^7*x^19 + 495/19*a*b^10*c^2*d^8*x^19 + 550/19*a^2*b^9*c*d^9*x^19 + 165/19*a^3*b^8*d^10*x^19 + 35/3*b^11*c^4*d^6*x^18 + 220/3*a*b^10*c^3*d^7*x^18 + 275/2*a^2*b^9*c^2*d^8*x^18 + 275/3*a^3*b^8*c*d^9*x^18 + 55/3*a^4*b^7*d^10*x^18 + 252/17*b^11*c^5*d^5*x^17 + 2310/17*a*b^10*c^4*d^6*x^17 + 6600/17*a^2*b^9*c^3*d^7*x^17 + 7425/17*a^3*b^8*c^2*d^8*x^17 + 3300/17*a^4*b^7*c*d^9*x^17 + 462/17*a^5*b^6*d^10*x^17 + 105/8*b^11*c^6*d^4*x^16 + 693/4*a*b^10*c^5*d^5*x^16 + 5775/8*a^2*b^9*c^4*d^6*x^16 + 2475/2*a^3*b^8*c^3*d^7*x^16 + 7425/8*a^4*b^7*c^2*d^8*x^16 + 1155/4*a^5*b^6*c*d^9*x^16 + 231/8*a^6*b^5*d^10*x^16 + 8*b^11*c^7*d^3*x^15 + 154*a*b^10*c^6*d^4*x^15 + 924*a^2*b^9*c^5*d^5*x^15 + 2310*a^3*b^8*c^4*d^6*x^15 + 2640*a^4*b^7*c^3*d^7*x^15 + 1386*a^5*b^6*c^2*d^8*x^15 + 308*a^6*b^5*c*d^9*x^15 + 22*a^7*b^4*d^10*x^15 + 45/14*b^11*c^8*d^2*x^14 + 660/7*a*b^10*c^7*d^3*x^14 + 825*a^2*b^9*c^6*d^4*x^14 + 2970*a^3*b^8*c^5*d^5*x^14 + 4950*a^4*b^7*c^4*d^6*x^14 + 3960*a^5*b^6*c^3*d^7*x^14 + 1485*a^6*b^5*c^2*d^8*x^14 + 1650/7*a^7*b^4*c*d^9*x^14 + 165/14*a^8*b^3*d^10*x^14 + 10/13*b^11*c^9*d*x^13 + 495/13*a*b^10*c^8*d^2*x^13 + 6600/13*a^2*b^9*c^7*d^3*x^13 + 34650/13*a^3*b^8*c^6*d^4*x^13 + 83160/13*a^4*b^7*c^5*d^5*x^13 + 97020/13*a^5*b^6*c^4*d^6*x^13 + 55440/13*a^6*b^5*c^3*d^7*x^13 + 14850/13*a^7*b^4*c^2*d^8*x^13 + 1650/13*a^8*b^3*c*d^9*x^13 + 55/13*a^9*b^2*d^10*x^13 + 1/12*b^11*c^10*x^12 + 55/6*a*b^10*c^9*d*x^12 + 825/4*a^2*b^9*c^8*d^2*x^12 + 1650*a^3*b^8*c^7*d^3*x^12 + 5775*a^4*b^7*c^6*d^4*x^12 + 9702*a^5*b^6*c^5*d^5*x^12 + 8085*a^6*b^5*c^4*d^6*x^12 + 3300*a^7*b^4*c^3*d^7*x^12 + 2475/4*a^8*b^3*c^2*d^8*x^12 + 275/6*a^9*b^2*c*d^9*x^12 + 11/12*a^10*b*d^10*x^12 + a*b^10*c^10*x^11 + 50*a^2*b^9*c^9*d*x^11 + 675*a^3*b^8*c^8*d^2*x^11 + 3600*a^4*b^7*c^7*d^3*x^11 + 8820*a^5*b^6*c^6*d^4*x^11 + 10584*a^6*b^5*c^5*d^5*x^11 + 6300*a^7*b^4*c^4*d^6*x^11 + 1800*a^8*b^3*c^3*d^7*x^11 + 225*a^9*b^2*c^2*d^8*x^11 + 10*a^10*b*c*d^9*x^11 + 1/11*a^11*d^10*x^11 + 11/2*a^2*b^9*c^10*x^10 + 165*a^3*b^8*c^9*d*x^10 + 1485*a^4*b^7*c^8*d^2*x^10 + 5544*a^5*b^6*c^7*d^3*x^10 + 9702*a^6*b^5*c^6*d^4*x^10 + 8316*a^7*b^4*c^5*d^5*x^10 + 3465*a^8*b^3*c^4*d^6*x^10 + 660*a^9*b^2*c^3*d^7*x^10 + 99/2*a^10*b*c^2*d^8*x^10 + a^11*c*d^9*x^10 + 55/3*a^3*b^8*c^10*x^9 + 1100/3*a^4*b^7*c^9*d*x^9 + 2310*a^5*b^6*c^8*d^2*x^9 + 6160*a^6*b^5*c^7*d^3*x^9 + 7700*a^7*b^4*c^6*d^4*x^9 + 4620*a^8*b^3*c^5*d^5*x^9 + 3850/3*a^9*b^2*c^4*d^6*x^9 + 440/3*a^10*b*c^3*d^7*x^9 + 5*a^11*c^2*d^8*x^9 + 165/4*a^4*b^7*c^10*x^8 + 1155/2*a^5*b^6*c^9*d*x^8 + 10395/4*a^6*b^5*c^8*d^2*x^8 + 4950*a^7*b^4*c^7*d^3*x^8 + 17325/4*a^8*b^3*c^6*d^4*x^8 + 3465/2*a^9*b^2*c^5*d^5*x^8 + 1155/4*a^10*b*c^4*d^6*x^8 + 15*a^11*c^3*d^7*x^8 + 66*a^5*b^6*c^10*x^7 + 660*a^6*b^5*c^9*d*x^7 + 14850/7*a^7*b^4*c^8*d^2*x^7 + 19800/7*a^8*b^3*c^7*d^3*x^7 + 1650*a^9*b^2*c^6*d^4*x^7 + 396*a^10*b*c^5*d^5*x^7 + 30*a^11*c^4*d^6*x^7 + 77*a^6*b^5*c^10*x^6 + 550*a^7*b^4*c^9*d*x^6 + 2475/2*a^8*b^3*c^8*d^2*x^6 + 1100*a^9*b^2*c^7*d^3*x^6 + 385*a^10*b*c^6*d^4*x^6 + 42*a^11*c^5*d^5*x^6 + 66*a^7*b^4*c^10*x^5 + 330*a^8*b^3*c^9*d*x^5 + 495*a^9*b^2*c^8*d^2*x^5 + 264*a^10*b*c^7*d^3*x^5 + 42*a^11*c^6*d^4*x^5 + 165/4*a^8*b^3*c^10*x^4 + 275/2*a^9*b^2*c^9*d*x^4 + 495/4*a^10*b*c^8*d^2*x^4 + 30*a^11*c^7*d^3*x^4 + 55/3*a^9*b^2*c^10*x^3 + 110/3*a^10*b*c^9*d*x^3 + 15*a^11*c^8*d^2*x^3 + 11/2*a^10*b*c^10*x^2 + 5*a^11*c^9*d*x^2 + a^11*c^10*x","B",0
1301,1,1833,0,1.343350," ","integrate((b*x+a)^10*(d*x+c)^10,x, algorithm=""giac"")","\frac{1}{21} \, b^{10} d^{10} x^{21} + \frac{1}{2} \, b^{10} c d^{9} x^{20} + \frac{1}{2} \, a b^{9} d^{10} x^{20} + \frac{45}{19} \, b^{10} c^{2} d^{8} x^{19} + \frac{100}{19} \, a b^{9} c d^{9} x^{19} + \frac{45}{19} \, a^{2} b^{8} d^{10} x^{19} + \frac{20}{3} \, b^{10} c^{3} d^{7} x^{18} + 25 \, a b^{9} c^{2} d^{8} x^{18} + 25 \, a^{2} b^{8} c d^{9} x^{18} + \frac{20}{3} \, a^{3} b^{7} d^{10} x^{18} + \frac{210}{17} \, b^{10} c^{4} d^{6} x^{17} + \frac{1200}{17} \, a b^{9} c^{3} d^{7} x^{17} + \frac{2025}{17} \, a^{2} b^{8} c^{2} d^{8} x^{17} + \frac{1200}{17} \, a^{3} b^{7} c d^{9} x^{17} + \frac{210}{17} \, a^{4} b^{6} d^{10} x^{17} + \frac{63}{4} \, b^{10} c^{5} d^{5} x^{16} + \frac{525}{4} \, a b^{9} c^{4} d^{6} x^{16} + \frac{675}{2} \, a^{2} b^{8} c^{3} d^{7} x^{16} + \frac{675}{2} \, a^{3} b^{7} c^{2} d^{8} x^{16} + \frac{525}{4} \, a^{4} b^{6} c d^{9} x^{16} + \frac{63}{4} \, a^{5} b^{5} d^{10} x^{16} + 14 \, b^{10} c^{6} d^{4} x^{15} + 168 \, a b^{9} c^{5} d^{5} x^{15} + 630 \, a^{2} b^{8} c^{4} d^{6} x^{15} + 960 \, a^{3} b^{7} c^{3} d^{7} x^{15} + 630 \, a^{4} b^{6} c^{2} d^{8} x^{15} + 168 \, a^{5} b^{5} c d^{9} x^{15} + 14 \, a^{6} b^{4} d^{10} x^{15} + \frac{60}{7} \, b^{10} c^{7} d^{3} x^{14} + 150 \, a b^{9} c^{6} d^{4} x^{14} + 810 \, a^{2} b^{8} c^{5} d^{5} x^{14} + 1800 \, a^{3} b^{7} c^{4} d^{6} x^{14} + 1800 \, a^{4} b^{6} c^{3} d^{7} x^{14} + 810 \, a^{5} b^{5} c^{2} d^{8} x^{14} + 150 \, a^{6} b^{4} c d^{9} x^{14} + \frac{60}{7} \, a^{7} b^{3} d^{10} x^{14} + \frac{45}{13} \, b^{10} c^{8} d^{2} x^{13} + \frac{1200}{13} \, a b^{9} c^{7} d^{3} x^{13} + \frac{9450}{13} \, a^{2} b^{8} c^{6} d^{4} x^{13} + \frac{30240}{13} \, a^{3} b^{7} c^{5} d^{5} x^{13} + \frac{44100}{13} \, a^{4} b^{6} c^{4} d^{6} x^{13} + \frac{30240}{13} \, a^{5} b^{5} c^{3} d^{7} x^{13} + \frac{9450}{13} \, a^{6} b^{4} c^{2} d^{8} x^{13} + \frac{1200}{13} \, a^{7} b^{3} c d^{9} x^{13} + \frac{45}{13} \, a^{8} b^{2} d^{10} x^{13} + \frac{5}{6} \, b^{10} c^{9} d x^{12} + \frac{75}{2} \, a b^{9} c^{8} d^{2} x^{12} + 450 \, a^{2} b^{8} c^{7} d^{3} x^{12} + 2100 \, a^{3} b^{7} c^{6} d^{4} x^{12} + 4410 \, a^{4} b^{6} c^{5} d^{5} x^{12} + 4410 \, a^{5} b^{5} c^{4} d^{6} x^{12} + 2100 \, a^{6} b^{4} c^{3} d^{7} x^{12} + 450 \, a^{7} b^{3} c^{2} d^{8} x^{12} + \frac{75}{2} \, a^{8} b^{2} c d^{9} x^{12} + \frac{5}{6} \, a^{9} b d^{10} x^{12} + \frac{1}{11} \, b^{10} c^{10} x^{11} + \frac{100}{11} \, a b^{9} c^{9} d x^{11} + \frac{2025}{11} \, a^{2} b^{8} c^{8} d^{2} x^{11} + \frac{14400}{11} \, a^{3} b^{7} c^{7} d^{3} x^{11} + \frac{44100}{11} \, a^{4} b^{6} c^{6} d^{4} x^{11} + \frac{63504}{11} \, a^{5} b^{5} c^{5} d^{5} x^{11} + \frac{44100}{11} \, a^{6} b^{4} c^{4} d^{6} x^{11} + \frac{14400}{11} \, a^{7} b^{3} c^{3} d^{7} x^{11} + \frac{2025}{11} \, a^{8} b^{2} c^{2} d^{8} x^{11} + \frac{100}{11} \, a^{9} b c d^{9} x^{11} + \frac{1}{11} \, a^{10} d^{10} x^{11} + a b^{9} c^{10} x^{10} + 45 \, a^{2} b^{8} c^{9} d x^{10} + 540 \, a^{3} b^{7} c^{8} d^{2} x^{10} + 2520 \, a^{4} b^{6} c^{7} d^{3} x^{10} + 5292 \, a^{5} b^{5} c^{6} d^{4} x^{10} + 5292 \, a^{6} b^{4} c^{5} d^{5} x^{10} + 2520 \, a^{7} b^{3} c^{4} d^{6} x^{10} + 540 \, a^{8} b^{2} c^{3} d^{7} x^{10} + 45 \, a^{9} b c^{2} d^{8} x^{10} + a^{10} c d^{9} x^{10} + 5 \, a^{2} b^{8} c^{10} x^{9} + \frac{400}{3} \, a^{3} b^{7} c^{9} d x^{9} + 1050 \, a^{4} b^{6} c^{8} d^{2} x^{9} + 3360 \, a^{5} b^{5} c^{7} d^{3} x^{9} + 4900 \, a^{6} b^{4} c^{6} d^{4} x^{9} + 3360 \, a^{7} b^{3} c^{5} d^{5} x^{9} + 1050 \, a^{8} b^{2} c^{4} d^{6} x^{9} + \frac{400}{3} \, a^{9} b c^{3} d^{7} x^{9} + 5 \, a^{10} c^{2} d^{8} x^{9} + 15 \, a^{3} b^{7} c^{10} x^{8} + \frac{525}{2} \, a^{4} b^{6} c^{9} d x^{8} + \frac{2835}{2} \, a^{5} b^{5} c^{8} d^{2} x^{8} + 3150 \, a^{6} b^{4} c^{7} d^{3} x^{8} + 3150 \, a^{7} b^{3} c^{6} d^{4} x^{8} + \frac{2835}{2} \, a^{8} b^{2} c^{5} d^{5} x^{8} + \frac{525}{2} \, a^{9} b c^{4} d^{6} x^{8} + 15 \, a^{10} c^{3} d^{7} x^{8} + 30 \, a^{4} b^{6} c^{10} x^{7} + 360 \, a^{5} b^{5} c^{9} d x^{7} + 1350 \, a^{6} b^{4} c^{8} d^{2} x^{7} + \frac{14400}{7} \, a^{7} b^{3} c^{7} d^{3} x^{7} + 1350 \, a^{8} b^{2} c^{6} d^{4} x^{7} + 360 \, a^{9} b c^{5} d^{5} x^{7} + 30 \, a^{10} c^{4} d^{6} x^{7} + 42 \, a^{5} b^{5} c^{10} x^{6} + 350 \, a^{6} b^{4} c^{9} d x^{6} + 900 \, a^{7} b^{3} c^{8} d^{2} x^{6} + 900 \, a^{8} b^{2} c^{7} d^{3} x^{6} + 350 \, a^{9} b c^{6} d^{4} x^{6} + 42 \, a^{10} c^{5} d^{5} x^{6} + 42 \, a^{6} b^{4} c^{10} x^{5} + 240 \, a^{7} b^{3} c^{9} d x^{5} + 405 \, a^{8} b^{2} c^{8} d^{2} x^{5} + 240 \, a^{9} b c^{7} d^{3} x^{5} + 42 \, a^{10} c^{6} d^{4} x^{5} + 30 \, a^{7} b^{3} c^{10} x^{4} + \frac{225}{2} \, a^{8} b^{2} c^{9} d x^{4} + \frac{225}{2} \, a^{9} b c^{8} d^{2} x^{4} + 30 \, a^{10} c^{7} d^{3} x^{4} + 15 \, a^{8} b^{2} c^{10} x^{3} + \frac{100}{3} \, a^{9} b c^{9} d x^{3} + 15 \, a^{10} c^{8} d^{2} x^{3} + 5 \, a^{9} b c^{10} x^{2} + 5 \, a^{10} c^{9} d x^{2} + a^{10} c^{10} x"," ",0,"1/21*b^10*d^10*x^21 + 1/2*b^10*c*d^9*x^20 + 1/2*a*b^9*d^10*x^20 + 45/19*b^10*c^2*d^8*x^19 + 100/19*a*b^9*c*d^9*x^19 + 45/19*a^2*b^8*d^10*x^19 + 20/3*b^10*c^3*d^7*x^18 + 25*a*b^9*c^2*d^8*x^18 + 25*a^2*b^8*c*d^9*x^18 + 20/3*a^3*b^7*d^10*x^18 + 210/17*b^10*c^4*d^6*x^17 + 1200/17*a*b^9*c^3*d^7*x^17 + 2025/17*a^2*b^8*c^2*d^8*x^17 + 1200/17*a^3*b^7*c*d^9*x^17 + 210/17*a^4*b^6*d^10*x^17 + 63/4*b^10*c^5*d^5*x^16 + 525/4*a*b^9*c^4*d^6*x^16 + 675/2*a^2*b^8*c^3*d^7*x^16 + 675/2*a^3*b^7*c^2*d^8*x^16 + 525/4*a^4*b^6*c*d^9*x^16 + 63/4*a^5*b^5*d^10*x^16 + 14*b^10*c^6*d^4*x^15 + 168*a*b^9*c^5*d^5*x^15 + 630*a^2*b^8*c^4*d^6*x^15 + 960*a^3*b^7*c^3*d^7*x^15 + 630*a^4*b^6*c^2*d^8*x^15 + 168*a^5*b^5*c*d^9*x^15 + 14*a^6*b^4*d^10*x^15 + 60/7*b^10*c^7*d^3*x^14 + 150*a*b^9*c^6*d^4*x^14 + 810*a^2*b^8*c^5*d^5*x^14 + 1800*a^3*b^7*c^4*d^6*x^14 + 1800*a^4*b^6*c^3*d^7*x^14 + 810*a^5*b^5*c^2*d^8*x^14 + 150*a^6*b^4*c*d^9*x^14 + 60/7*a^7*b^3*d^10*x^14 + 45/13*b^10*c^8*d^2*x^13 + 1200/13*a*b^9*c^7*d^3*x^13 + 9450/13*a^2*b^8*c^6*d^4*x^13 + 30240/13*a^3*b^7*c^5*d^5*x^13 + 44100/13*a^4*b^6*c^4*d^6*x^13 + 30240/13*a^5*b^5*c^3*d^7*x^13 + 9450/13*a^6*b^4*c^2*d^8*x^13 + 1200/13*a^7*b^3*c*d^9*x^13 + 45/13*a^8*b^2*d^10*x^13 + 5/6*b^10*c^9*d*x^12 + 75/2*a*b^9*c^8*d^2*x^12 + 450*a^2*b^8*c^7*d^3*x^12 + 2100*a^3*b^7*c^6*d^4*x^12 + 4410*a^4*b^6*c^5*d^5*x^12 + 4410*a^5*b^5*c^4*d^6*x^12 + 2100*a^6*b^4*c^3*d^7*x^12 + 450*a^7*b^3*c^2*d^8*x^12 + 75/2*a^8*b^2*c*d^9*x^12 + 5/6*a^9*b*d^10*x^12 + 1/11*b^10*c^10*x^11 + 100/11*a*b^9*c^9*d*x^11 + 2025/11*a^2*b^8*c^8*d^2*x^11 + 14400/11*a^3*b^7*c^7*d^3*x^11 + 44100/11*a^4*b^6*c^6*d^4*x^11 + 63504/11*a^5*b^5*c^5*d^5*x^11 + 44100/11*a^6*b^4*c^4*d^6*x^11 + 14400/11*a^7*b^3*c^3*d^7*x^11 + 2025/11*a^8*b^2*c^2*d^8*x^11 + 100/11*a^9*b*c*d^9*x^11 + 1/11*a^10*d^10*x^11 + a*b^9*c^10*x^10 + 45*a^2*b^8*c^9*d*x^10 + 540*a^3*b^7*c^8*d^2*x^10 + 2520*a^4*b^6*c^7*d^3*x^10 + 5292*a^5*b^5*c^6*d^4*x^10 + 5292*a^6*b^4*c^5*d^5*x^10 + 2520*a^7*b^3*c^4*d^6*x^10 + 540*a^8*b^2*c^3*d^7*x^10 + 45*a^9*b*c^2*d^8*x^10 + a^10*c*d^9*x^10 + 5*a^2*b^8*c^10*x^9 + 400/3*a^3*b^7*c^9*d*x^9 + 1050*a^4*b^6*c^8*d^2*x^9 + 3360*a^5*b^5*c^7*d^3*x^9 + 4900*a^6*b^4*c^6*d^4*x^9 + 3360*a^7*b^3*c^5*d^5*x^9 + 1050*a^8*b^2*c^4*d^6*x^9 + 400/3*a^9*b*c^3*d^7*x^9 + 5*a^10*c^2*d^8*x^9 + 15*a^3*b^7*c^10*x^8 + 525/2*a^4*b^6*c^9*d*x^8 + 2835/2*a^5*b^5*c^8*d^2*x^8 + 3150*a^6*b^4*c^7*d^3*x^8 + 3150*a^7*b^3*c^6*d^4*x^8 + 2835/2*a^8*b^2*c^5*d^5*x^8 + 525/2*a^9*b*c^4*d^6*x^8 + 15*a^10*c^3*d^7*x^8 + 30*a^4*b^6*c^10*x^7 + 360*a^5*b^5*c^9*d*x^7 + 1350*a^6*b^4*c^8*d^2*x^7 + 14400/7*a^7*b^3*c^7*d^3*x^7 + 1350*a^8*b^2*c^6*d^4*x^7 + 360*a^9*b*c^5*d^5*x^7 + 30*a^10*c^4*d^6*x^7 + 42*a^5*b^5*c^10*x^6 + 350*a^6*b^4*c^9*d*x^6 + 900*a^7*b^3*c^8*d^2*x^6 + 900*a^8*b^2*c^7*d^3*x^6 + 350*a^9*b*c^6*d^4*x^6 + 42*a^10*c^5*d^5*x^6 + 42*a^6*b^4*c^10*x^5 + 240*a^7*b^3*c^9*d*x^5 + 405*a^8*b^2*c^8*d^2*x^5 + 240*a^9*b*c^7*d^3*x^5 + 42*a^10*c^6*d^4*x^5 + 30*a^7*b^3*c^10*x^4 + 225/2*a^8*b^2*c^9*d*x^4 + 225/2*a^9*b*c^8*d^2*x^4 + 30*a^10*c^7*d^3*x^4 + 15*a^8*b^2*c^10*x^3 + 100/3*a^9*b*c^9*d*x^3 + 15*a^10*c^8*d^2*x^3 + 5*a^9*b*c^10*x^2 + 5*a^10*c^9*d*x^2 + a^10*c^10*x","B",0
1302,1,1656,0,1.297526," ","integrate((b*x+a)^9*(d*x+c)^10,x, algorithm=""giac"")","\frac{1}{20} \, b^{9} d^{10} x^{20} + \frac{10}{19} \, b^{9} c d^{9} x^{19} + \frac{9}{19} \, a b^{8} d^{10} x^{19} + \frac{5}{2} \, b^{9} c^{2} d^{8} x^{18} + 5 \, a b^{8} c d^{9} x^{18} + 2 \, a^{2} b^{7} d^{10} x^{18} + \frac{120}{17} \, b^{9} c^{3} d^{7} x^{17} + \frac{405}{17} \, a b^{8} c^{2} d^{8} x^{17} + \frac{360}{17} \, a^{2} b^{7} c d^{9} x^{17} + \frac{84}{17} \, a^{3} b^{6} d^{10} x^{17} + \frac{105}{8} \, b^{9} c^{4} d^{6} x^{16} + \frac{135}{2} \, a b^{8} c^{3} d^{7} x^{16} + \frac{405}{4} \, a^{2} b^{7} c^{2} d^{8} x^{16} + \frac{105}{2} \, a^{3} b^{6} c d^{9} x^{16} + \frac{63}{8} \, a^{4} b^{5} d^{10} x^{16} + \frac{84}{5} \, b^{9} c^{5} d^{5} x^{15} + 126 \, a b^{8} c^{4} d^{6} x^{15} + 288 \, a^{2} b^{7} c^{3} d^{7} x^{15} + 252 \, a^{3} b^{6} c^{2} d^{8} x^{15} + 84 \, a^{4} b^{5} c d^{9} x^{15} + \frac{42}{5} \, a^{5} b^{4} d^{10} x^{15} + 15 \, b^{9} c^{6} d^{4} x^{14} + 162 \, a b^{8} c^{5} d^{5} x^{14} + 540 \, a^{2} b^{7} c^{4} d^{6} x^{14} + 720 \, a^{3} b^{6} c^{3} d^{7} x^{14} + 405 \, a^{4} b^{5} c^{2} d^{8} x^{14} + 90 \, a^{5} b^{4} c d^{9} x^{14} + 6 \, a^{6} b^{3} d^{10} x^{14} + \frac{120}{13} \, b^{9} c^{7} d^{3} x^{13} + \frac{1890}{13} \, a b^{8} c^{6} d^{4} x^{13} + \frac{9072}{13} \, a^{2} b^{7} c^{5} d^{5} x^{13} + \frac{17640}{13} \, a^{3} b^{6} c^{4} d^{6} x^{13} + \frac{15120}{13} \, a^{4} b^{5} c^{3} d^{7} x^{13} + \frac{5670}{13} \, a^{5} b^{4} c^{2} d^{8} x^{13} + \frac{840}{13} \, a^{6} b^{3} c d^{9} x^{13} + \frac{36}{13} \, a^{7} b^{2} d^{10} x^{13} + \frac{15}{4} \, b^{9} c^{8} d^{2} x^{12} + 90 \, a b^{8} c^{7} d^{3} x^{12} + 630 \, a^{2} b^{7} c^{6} d^{4} x^{12} + 1764 \, a^{3} b^{6} c^{5} d^{5} x^{12} + 2205 \, a^{4} b^{5} c^{4} d^{6} x^{12} + 1260 \, a^{5} b^{4} c^{3} d^{7} x^{12} + 315 \, a^{6} b^{3} c^{2} d^{8} x^{12} + 30 \, a^{7} b^{2} c d^{9} x^{12} + \frac{3}{4} \, a^{8} b d^{10} x^{12} + \frac{10}{11} \, b^{9} c^{9} d x^{11} + \frac{405}{11} \, a b^{8} c^{8} d^{2} x^{11} + \frac{4320}{11} \, a^{2} b^{7} c^{7} d^{3} x^{11} + \frac{17640}{11} \, a^{3} b^{6} c^{6} d^{4} x^{11} + \frac{31752}{11} \, a^{4} b^{5} c^{5} d^{5} x^{11} + \frac{26460}{11} \, a^{5} b^{4} c^{4} d^{6} x^{11} + \frac{10080}{11} \, a^{6} b^{3} c^{3} d^{7} x^{11} + \frac{1620}{11} \, a^{7} b^{2} c^{2} d^{8} x^{11} + \frac{90}{11} \, a^{8} b c d^{9} x^{11} + \frac{1}{11} \, a^{9} d^{10} x^{11} + \frac{1}{10} \, b^{9} c^{10} x^{10} + 9 \, a b^{8} c^{9} d x^{10} + 162 \, a^{2} b^{7} c^{8} d^{2} x^{10} + 1008 \, a^{3} b^{6} c^{7} d^{3} x^{10} + 2646 \, a^{4} b^{5} c^{6} d^{4} x^{10} + \frac{15876}{5} \, a^{5} b^{4} c^{5} d^{5} x^{10} + 1764 \, a^{6} b^{3} c^{4} d^{6} x^{10} + 432 \, a^{7} b^{2} c^{3} d^{7} x^{10} + \frac{81}{2} \, a^{8} b c^{2} d^{8} x^{10} + a^{9} c d^{9} x^{10} + a b^{8} c^{10} x^{9} + 40 \, a^{2} b^{7} c^{9} d x^{9} + 420 \, a^{3} b^{6} c^{8} d^{2} x^{9} + 1680 \, a^{4} b^{5} c^{7} d^{3} x^{9} + 2940 \, a^{5} b^{4} c^{6} d^{4} x^{9} + 2352 \, a^{6} b^{3} c^{5} d^{5} x^{9} + 840 \, a^{7} b^{2} c^{4} d^{6} x^{9} + 120 \, a^{8} b c^{3} d^{7} x^{9} + 5 \, a^{9} c^{2} d^{8} x^{9} + \frac{9}{2} \, a^{2} b^{7} c^{10} x^{8} + 105 \, a^{3} b^{6} c^{9} d x^{8} + \frac{2835}{4} \, a^{4} b^{5} c^{8} d^{2} x^{8} + 1890 \, a^{5} b^{4} c^{7} d^{3} x^{8} + 2205 \, a^{6} b^{3} c^{6} d^{4} x^{8} + 1134 \, a^{7} b^{2} c^{5} d^{5} x^{8} + \frac{945}{4} \, a^{8} b c^{4} d^{6} x^{8} + 15 \, a^{9} c^{3} d^{7} x^{8} + 12 \, a^{3} b^{6} c^{10} x^{7} + 180 \, a^{4} b^{5} c^{9} d x^{7} + 810 \, a^{5} b^{4} c^{8} d^{2} x^{7} + 1440 \, a^{6} b^{3} c^{7} d^{3} x^{7} + 1080 \, a^{7} b^{2} c^{6} d^{4} x^{7} + 324 \, a^{8} b c^{5} d^{5} x^{7} + 30 \, a^{9} c^{4} d^{6} x^{7} + 21 \, a^{4} b^{5} c^{10} x^{6} + 210 \, a^{5} b^{4} c^{9} d x^{6} + 630 \, a^{6} b^{3} c^{8} d^{2} x^{6} + 720 \, a^{7} b^{2} c^{7} d^{3} x^{6} + 315 \, a^{8} b c^{6} d^{4} x^{6} + 42 \, a^{9} c^{5} d^{5} x^{6} + \frac{126}{5} \, a^{5} b^{4} c^{10} x^{5} + 168 \, a^{6} b^{3} c^{9} d x^{5} + 324 \, a^{7} b^{2} c^{8} d^{2} x^{5} + 216 \, a^{8} b c^{7} d^{3} x^{5} + 42 \, a^{9} c^{6} d^{4} x^{5} + 21 \, a^{6} b^{3} c^{10} x^{4} + 90 \, a^{7} b^{2} c^{9} d x^{4} + \frac{405}{4} \, a^{8} b c^{8} d^{2} x^{4} + 30 \, a^{9} c^{7} d^{3} x^{4} + 12 \, a^{7} b^{2} c^{10} x^{3} + 30 \, a^{8} b c^{9} d x^{3} + 15 \, a^{9} c^{8} d^{2} x^{3} + \frac{9}{2} \, a^{8} b c^{10} x^{2} + 5 \, a^{9} c^{9} d x^{2} + a^{9} c^{10} x"," ",0,"1/20*b^9*d^10*x^20 + 10/19*b^9*c*d^9*x^19 + 9/19*a*b^8*d^10*x^19 + 5/2*b^9*c^2*d^8*x^18 + 5*a*b^8*c*d^9*x^18 + 2*a^2*b^7*d^10*x^18 + 120/17*b^9*c^3*d^7*x^17 + 405/17*a*b^8*c^2*d^8*x^17 + 360/17*a^2*b^7*c*d^9*x^17 + 84/17*a^3*b^6*d^10*x^17 + 105/8*b^9*c^4*d^6*x^16 + 135/2*a*b^8*c^3*d^7*x^16 + 405/4*a^2*b^7*c^2*d^8*x^16 + 105/2*a^3*b^6*c*d^9*x^16 + 63/8*a^4*b^5*d^10*x^16 + 84/5*b^9*c^5*d^5*x^15 + 126*a*b^8*c^4*d^6*x^15 + 288*a^2*b^7*c^3*d^7*x^15 + 252*a^3*b^6*c^2*d^8*x^15 + 84*a^4*b^5*c*d^9*x^15 + 42/5*a^5*b^4*d^10*x^15 + 15*b^9*c^6*d^4*x^14 + 162*a*b^8*c^5*d^5*x^14 + 540*a^2*b^7*c^4*d^6*x^14 + 720*a^3*b^6*c^3*d^7*x^14 + 405*a^4*b^5*c^2*d^8*x^14 + 90*a^5*b^4*c*d^9*x^14 + 6*a^6*b^3*d^10*x^14 + 120/13*b^9*c^7*d^3*x^13 + 1890/13*a*b^8*c^6*d^4*x^13 + 9072/13*a^2*b^7*c^5*d^5*x^13 + 17640/13*a^3*b^6*c^4*d^6*x^13 + 15120/13*a^4*b^5*c^3*d^7*x^13 + 5670/13*a^5*b^4*c^2*d^8*x^13 + 840/13*a^6*b^3*c*d^9*x^13 + 36/13*a^7*b^2*d^10*x^13 + 15/4*b^9*c^8*d^2*x^12 + 90*a*b^8*c^7*d^3*x^12 + 630*a^2*b^7*c^6*d^4*x^12 + 1764*a^3*b^6*c^5*d^5*x^12 + 2205*a^4*b^5*c^4*d^6*x^12 + 1260*a^5*b^4*c^3*d^7*x^12 + 315*a^6*b^3*c^2*d^8*x^12 + 30*a^7*b^2*c*d^9*x^12 + 3/4*a^8*b*d^10*x^12 + 10/11*b^9*c^9*d*x^11 + 405/11*a*b^8*c^8*d^2*x^11 + 4320/11*a^2*b^7*c^7*d^3*x^11 + 17640/11*a^3*b^6*c^6*d^4*x^11 + 31752/11*a^4*b^5*c^5*d^5*x^11 + 26460/11*a^5*b^4*c^4*d^6*x^11 + 10080/11*a^6*b^3*c^3*d^7*x^11 + 1620/11*a^7*b^2*c^2*d^8*x^11 + 90/11*a^8*b*c*d^9*x^11 + 1/11*a^9*d^10*x^11 + 1/10*b^9*c^10*x^10 + 9*a*b^8*c^9*d*x^10 + 162*a^2*b^7*c^8*d^2*x^10 + 1008*a^3*b^6*c^7*d^3*x^10 + 2646*a^4*b^5*c^6*d^4*x^10 + 15876/5*a^5*b^4*c^5*d^5*x^10 + 1764*a^6*b^3*c^4*d^6*x^10 + 432*a^7*b^2*c^3*d^7*x^10 + 81/2*a^8*b*c^2*d^8*x^10 + a^9*c*d^9*x^10 + a*b^8*c^10*x^9 + 40*a^2*b^7*c^9*d*x^9 + 420*a^3*b^6*c^8*d^2*x^9 + 1680*a^4*b^5*c^7*d^3*x^9 + 2940*a^5*b^4*c^6*d^4*x^9 + 2352*a^6*b^3*c^5*d^5*x^9 + 840*a^7*b^2*c^4*d^6*x^9 + 120*a^8*b*c^3*d^7*x^9 + 5*a^9*c^2*d^8*x^9 + 9/2*a^2*b^7*c^10*x^8 + 105*a^3*b^6*c^9*d*x^8 + 2835/4*a^4*b^5*c^8*d^2*x^8 + 1890*a^5*b^4*c^7*d^3*x^8 + 2205*a^6*b^3*c^6*d^4*x^8 + 1134*a^7*b^2*c^5*d^5*x^8 + 945/4*a^8*b*c^4*d^6*x^8 + 15*a^9*c^3*d^7*x^8 + 12*a^3*b^6*c^10*x^7 + 180*a^4*b^5*c^9*d*x^7 + 810*a^5*b^4*c^8*d^2*x^7 + 1440*a^6*b^3*c^7*d^3*x^7 + 1080*a^7*b^2*c^6*d^4*x^7 + 324*a^8*b*c^5*d^5*x^7 + 30*a^9*c^4*d^6*x^7 + 21*a^4*b^5*c^10*x^6 + 210*a^5*b^4*c^9*d*x^6 + 630*a^6*b^3*c^8*d^2*x^6 + 720*a^7*b^2*c^7*d^3*x^6 + 315*a^8*b*c^6*d^4*x^6 + 42*a^9*c^5*d^5*x^6 + 126/5*a^5*b^4*c^10*x^5 + 168*a^6*b^3*c^9*d*x^5 + 324*a^7*b^2*c^8*d^2*x^5 + 216*a^8*b*c^7*d^3*x^5 + 42*a^9*c^6*d^4*x^5 + 21*a^6*b^3*c^10*x^4 + 90*a^7*b^2*c^9*d*x^4 + 405/4*a^8*b*c^8*d^2*x^4 + 30*a^9*c^7*d^3*x^4 + 12*a^7*b^2*c^10*x^3 + 30*a^8*b*c^9*d*x^3 + 15*a^9*c^8*d^2*x^3 + 9/2*a^8*b*c^10*x^2 + 5*a^9*c^9*d*x^2 + a^9*c^10*x","B",0
1303,1,1478,0,1.289979," ","integrate((b*x+a)^8*(d*x+c)^10,x, algorithm=""giac"")","\frac{1}{19} \, b^{8} d^{10} x^{19} + \frac{5}{9} \, b^{8} c d^{9} x^{18} + \frac{4}{9} \, a b^{7} d^{10} x^{18} + \frac{45}{17} \, b^{8} c^{2} d^{8} x^{17} + \frac{80}{17} \, a b^{7} c d^{9} x^{17} + \frac{28}{17} \, a^{2} b^{6} d^{10} x^{17} + \frac{15}{2} \, b^{8} c^{3} d^{7} x^{16} + \frac{45}{2} \, a b^{7} c^{2} d^{8} x^{16} + \frac{35}{2} \, a^{2} b^{6} c d^{9} x^{16} + \frac{7}{2} \, a^{3} b^{5} d^{10} x^{16} + 14 \, b^{8} c^{4} d^{6} x^{15} + 64 \, a b^{7} c^{3} d^{7} x^{15} + 84 \, a^{2} b^{6} c^{2} d^{8} x^{15} + \frac{112}{3} \, a^{3} b^{5} c d^{9} x^{15} + \frac{14}{3} \, a^{4} b^{4} d^{10} x^{15} + 18 \, b^{8} c^{5} d^{5} x^{14} + 120 \, a b^{7} c^{4} d^{6} x^{14} + 240 \, a^{2} b^{6} c^{3} d^{7} x^{14} + 180 \, a^{3} b^{5} c^{2} d^{8} x^{14} + 50 \, a^{4} b^{4} c d^{9} x^{14} + 4 \, a^{5} b^{3} d^{10} x^{14} + \frac{210}{13} \, b^{8} c^{6} d^{4} x^{13} + \frac{2016}{13} \, a b^{7} c^{5} d^{5} x^{13} + \frac{5880}{13} \, a^{2} b^{6} c^{4} d^{6} x^{13} + \frac{6720}{13} \, a^{3} b^{5} c^{3} d^{7} x^{13} + \frac{3150}{13} \, a^{4} b^{4} c^{2} d^{8} x^{13} + \frac{560}{13} \, a^{5} b^{3} c d^{9} x^{13} + \frac{28}{13} \, a^{6} b^{2} d^{10} x^{13} + 10 \, b^{8} c^{7} d^{3} x^{12} + 140 \, a b^{7} c^{6} d^{4} x^{12} + 588 \, a^{2} b^{6} c^{5} d^{5} x^{12} + 980 \, a^{3} b^{5} c^{4} d^{6} x^{12} + 700 \, a^{4} b^{4} c^{3} d^{7} x^{12} + 210 \, a^{5} b^{3} c^{2} d^{8} x^{12} + \frac{70}{3} \, a^{6} b^{2} c d^{9} x^{12} + \frac{2}{3} \, a^{7} b d^{10} x^{12} + \frac{45}{11} \, b^{8} c^{8} d^{2} x^{11} + \frac{960}{11} \, a b^{7} c^{7} d^{3} x^{11} + \frac{5880}{11} \, a^{2} b^{6} c^{6} d^{4} x^{11} + \frac{14112}{11} \, a^{3} b^{5} c^{5} d^{5} x^{11} + \frac{14700}{11} \, a^{4} b^{4} c^{4} d^{6} x^{11} + \frac{6720}{11} \, a^{5} b^{3} c^{3} d^{7} x^{11} + \frac{1260}{11} \, a^{6} b^{2} c^{2} d^{8} x^{11} + \frac{80}{11} \, a^{7} b c d^{9} x^{11} + \frac{1}{11} \, a^{8} d^{10} x^{11} + b^{8} c^{9} d x^{10} + 36 \, a b^{7} c^{8} d^{2} x^{10} + 336 \, a^{2} b^{6} c^{7} d^{3} x^{10} + 1176 \, a^{3} b^{5} c^{6} d^{4} x^{10} + 1764 \, a^{4} b^{4} c^{5} d^{5} x^{10} + 1176 \, a^{5} b^{3} c^{4} d^{6} x^{10} + 336 \, a^{6} b^{2} c^{3} d^{7} x^{10} + 36 \, a^{7} b c^{2} d^{8} x^{10} + a^{8} c d^{9} x^{10} + \frac{1}{9} \, b^{8} c^{10} x^{9} + \frac{80}{9} \, a b^{7} c^{9} d x^{9} + 140 \, a^{2} b^{6} c^{8} d^{2} x^{9} + \frac{2240}{3} \, a^{3} b^{5} c^{7} d^{3} x^{9} + \frac{4900}{3} \, a^{4} b^{4} c^{6} d^{4} x^{9} + 1568 \, a^{5} b^{3} c^{5} d^{5} x^{9} + \frac{1960}{3} \, a^{6} b^{2} c^{4} d^{6} x^{9} + \frac{320}{3} \, a^{7} b c^{3} d^{7} x^{9} + 5 \, a^{8} c^{2} d^{8} x^{9} + a b^{7} c^{10} x^{8} + 35 \, a^{2} b^{6} c^{9} d x^{8} + 315 \, a^{3} b^{5} c^{8} d^{2} x^{8} + 1050 \, a^{4} b^{4} c^{7} d^{3} x^{8} + 1470 \, a^{5} b^{3} c^{6} d^{4} x^{8} + 882 \, a^{6} b^{2} c^{5} d^{5} x^{8} + 210 \, a^{7} b c^{4} d^{6} x^{8} + 15 \, a^{8} c^{3} d^{7} x^{8} + 4 \, a^{2} b^{6} c^{10} x^{7} + 80 \, a^{3} b^{5} c^{9} d x^{7} + 450 \, a^{4} b^{4} c^{8} d^{2} x^{7} + 960 \, a^{5} b^{3} c^{7} d^{3} x^{7} + 840 \, a^{6} b^{2} c^{6} d^{4} x^{7} + 288 \, a^{7} b c^{5} d^{5} x^{7} + 30 \, a^{8} c^{4} d^{6} x^{7} + \frac{28}{3} \, a^{3} b^{5} c^{10} x^{6} + \frac{350}{3} \, a^{4} b^{4} c^{9} d x^{6} + 420 \, a^{5} b^{3} c^{8} d^{2} x^{6} + 560 \, a^{6} b^{2} c^{7} d^{3} x^{6} + 280 \, a^{7} b c^{6} d^{4} x^{6} + 42 \, a^{8} c^{5} d^{5} x^{6} + 14 \, a^{4} b^{4} c^{10} x^{5} + 112 \, a^{5} b^{3} c^{9} d x^{5} + 252 \, a^{6} b^{2} c^{8} d^{2} x^{5} + 192 \, a^{7} b c^{7} d^{3} x^{5} + 42 \, a^{8} c^{6} d^{4} x^{5} + 14 \, a^{5} b^{3} c^{10} x^{4} + 70 \, a^{6} b^{2} c^{9} d x^{4} + 90 \, a^{7} b c^{8} d^{2} x^{4} + 30 \, a^{8} c^{7} d^{3} x^{4} + \frac{28}{3} \, a^{6} b^{2} c^{10} x^{3} + \frac{80}{3} \, a^{7} b c^{9} d x^{3} + 15 \, a^{8} c^{8} d^{2} x^{3} + 4 \, a^{7} b c^{10} x^{2} + 5 \, a^{8} c^{9} d x^{2} + a^{8} c^{10} x"," ",0,"1/19*b^8*d^10*x^19 + 5/9*b^8*c*d^9*x^18 + 4/9*a*b^7*d^10*x^18 + 45/17*b^8*c^2*d^8*x^17 + 80/17*a*b^7*c*d^9*x^17 + 28/17*a^2*b^6*d^10*x^17 + 15/2*b^8*c^3*d^7*x^16 + 45/2*a*b^7*c^2*d^8*x^16 + 35/2*a^2*b^6*c*d^9*x^16 + 7/2*a^3*b^5*d^10*x^16 + 14*b^8*c^4*d^6*x^15 + 64*a*b^7*c^3*d^7*x^15 + 84*a^2*b^6*c^2*d^8*x^15 + 112/3*a^3*b^5*c*d^9*x^15 + 14/3*a^4*b^4*d^10*x^15 + 18*b^8*c^5*d^5*x^14 + 120*a*b^7*c^4*d^6*x^14 + 240*a^2*b^6*c^3*d^7*x^14 + 180*a^3*b^5*c^2*d^8*x^14 + 50*a^4*b^4*c*d^9*x^14 + 4*a^5*b^3*d^10*x^14 + 210/13*b^8*c^6*d^4*x^13 + 2016/13*a*b^7*c^5*d^5*x^13 + 5880/13*a^2*b^6*c^4*d^6*x^13 + 6720/13*a^3*b^5*c^3*d^7*x^13 + 3150/13*a^4*b^4*c^2*d^8*x^13 + 560/13*a^5*b^3*c*d^9*x^13 + 28/13*a^6*b^2*d^10*x^13 + 10*b^8*c^7*d^3*x^12 + 140*a*b^7*c^6*d^4*x^12 + 588*a^2*b^6*c^5*d^5*x^12 + 980*a^3*b^5*c^4*d^6*x^12 + 700*a^4*b^4*c^3*d^7*x^12 + 210*a^5*b^3*c^2*d^8*x^12 + 70/3*a^6*b^2*c*d^9*x^12 + 2/3*a^7*b*d^10*x^12 + 45/11*b^8*c^8*d^2*x^11 + 960/11*a*b^7*c^7*d^3*x^11 + 5880/11*a^2*b^6*c^6*d^4*x^11 + 14112/11*a^3*b^5*c^5*d^5*x^11 + 14700/11*a^4*b^4*c^4*d^6*x^11 + 6720/11*a^5*b^3*c^3*d^7*x^11 + 1260/11*a^6*b^2*c^2*d^8*x^11 + 80/11*a^7*b*c*d^9*x^11 + 1/11*a^8*d^10*x^11 + b^8*c^9*d*x^10 + 36*a*b^7*c^8*d^2*x^10 + 336*a^2*b^6*c^7*d^3*x^10 + 1176*a^3*b^5*c^6*d^4*x^10 + 1764*a^4*b^4*c^5*d^5*x^10 + 1176*a^5*b^3*c^4*d^6*x^10 + 336*a^6*b^2*c^3*d^7*x^10 + 36*a^7*b*c^2*d^8*x^10 + a^8*c*d^9*x^10 + 1/9*b^8*c^10*x^9 + 80/9*a*b^7*c^9*d*x^9 + 140*a^2*b^6*c^8*d^2*x^9 + 2240/3*a^3*b^5*c^7*d^3*x^9 + 4900/3*a^4*b^4*c^6*d^4*x^9 + 1568*a^5*b^3*c^5*d^5*x^9 + 1960/3*a^6*b^2*c^4*d^6*x^9 + 320/3*a^7*b*c^3*d^7*x^9 + 5*a^8*c^2*d^8*x^9 + a*b^7*c^10*x^8 + 35*a^2*b^6*c^9*d*x^8 + 315*a^3*b^5*c^8*d^2*x^8 + 1050*a^4*b^4*c^7*d^3*x^8 + 1470*a^5*b^3*c^6*d^4*x^8 + 882*a^6*b^2*c^5*d^5*x^8 + 210*a^7*b*c^4*d^6*x^8 + 15*a^8*c^3*d^7*x^8 + 4*a^2*b^6*c^10*x^7 + 80*a^3*b^5*c^9*d*x^7 + 450*a^4*b^4*c^8*d^2*x^7 + 960*a^5*b^3*c^7*d^3*x^7 + 840*a^6*b^2*c^6*d^4*x^7 + 288*a^7*b*c^5*d^5*x^7 + 30*a^8*c^4*d^6*x^7 + 28/3*a^3*b^5*c^10*x^6 + 350/3*a^4*b^4*c^9*d*x^6 + 420*a^5*b^3*c^8*d^2*x^6 + 560*a^6*b^2*c^7*d^3*x^6 + 280*a^7*b*c^6*d^4*x^6 + 42*a^8*c^5*d^5*x^6 + 14*a^4*b^4*c^10*x^5 + 112*a^5*b^3*c^9*d*x^5 + 252*a^6*b^2*c^8*d^2*x^5 + 192*a^7*b*c^7*d^3*x^5 + 42*a^8*c^6*d^4*x^5 + 14*a^5*b^3*c^10*x^4 + 70*a^6*b^2*c^9*d*x^4 + 90*a^7*b*c^8*d^2*x^4 + 30*a^8*c^7*d^3*x^4 + 28/3*a^6*b^2*c^10*x^3 + 80/3*a^7*b*c^9*d*x^3 + 15*a^8*c^8*d^2*x^3 + 4*a^7*b*c^10*x^2 + 5*a^8*c^9*d*x^2 + a^8*c^10*x","B",0
1304,1,1302,0,1.260109," ","integrate((b*x+a)^7*(d*x+c)^10,x, algorithm=""giac"")","\frac{1}{18} \, b^{7} d^{10} x^{18} + \frac{10}{17} \, b^{7} c d^{9} x^{17} + \frac{7}{17} \, a b^{6} d^{10} x^{17} + \frac{45}{16} \, b^{7} c^{2} d^{8} x^{16} + \frac{35}{8} \, a b^{6} c d^{9} x^{16} + \frac{21}{16} \, a^{2} b^{5} d^{10} x^{16} + 8 \, b^{7} c^{3} d^{7} x^{15} + 21 \, a b^{6} c^{2} d^{8} x^{15} + 14 \, a^{2} b^{5} c d^{9} x^{15} + \frac{7}{3} \, a^{3} b^{4} d^{10} x^{15} + 15 \, b^{7} c^{4} d^{6} x^{14} + 60 \, a b^{6} c^{3} d^{7} x^{14} + \frac{135}{2} \, a^{2} b^{5} c^{2} d^{8} x^{14} + 25 \, a^{3} b^{4} c d^{9} x^{14} + \frac{5}{2} \, a^{4} b^{3} d^{10} x^{14} + \frac{252}{13} \, b^{7} c^{5} d^{5} x^{13} + \frac{1470}{13} \, a b^{6} c^{4} d^{6} x^{13} + \frac{2520}{13} \, a^{2} b^{5} c^{3} d^{7} x^{13} + \frac{1575}{13} \, a^{3} b^{4} c^{2} d^{8} x^{13} + \frac{350}{13} \, a^{4} b^{3} c d^{9} x^{13} + \frac{21}{13} \, a^{5} b^{2} d^{10} x^{13} + \frac{35}{2} \, b^{7} c^{6} d^{4} x^{12} + 147 \, a b^{6} c^{5} d^{5} x^{12} + \frac{735}{2} \, a^{2} b^{5} c^{4} d^{6} x^{12} + 350 \, a^{3} b^{4} c^{3} d^{7} x^{12} + \frac{525}{4} \, a^{4} b^{3} c^{2} d^{8} x^{12} + \frac{35}{2} \, a^{5} b^{2} c d^{9} x^{12} + \frac{7}{12} \, a^{6} b d^{10} x^{12} + \frac{120}{11} \, b^{7} c^{7} d^{3} x^{11} + \frac{1470}{11} \, a b^{6} c^{6} d^{4} x^{11} + \frac{5292}{11} \, a^{2} b^{5} c^{5} d^{5} x^{11} + \frac{7350}{11} \, a^{3} b^{4} c^{4} d^{6} x^{11} + \frac{4200}{11} \, a^{4} b^{3} c^{3} d^{7} x^{11} + \frac{945}{11} \, a^{5} b^{2} c^{2} d^{8} x^{11} + \frac{70}{11} \, a^{6} b c d^{9} x^{11} + \frac{1}{11} \, a^{7} d^{10} x^{11} + \frac{9}{2} \, b^{7} c^{8} d^{2} x^{10} + 84 \, a b^{6} c^{7} d^{3} x^{10} + 441 \, a^{2} b^{5} c^{6} d^{4} x^{10} + 882 \, a^{3} b^{4} c^{5} d^{5} x^{10} + 735 \, a^{4} b^{3} c^{4} d^{6} x^{10} + 252 \, a^{5} b^{2} c^{3} d^{7} x^{10} + \frac{63}{2} \, a^{6} b c^{2} d^{8} x^{10} + a^{7} c d^{9} x^{10} + \frac{10}{9} \, b^{7} c^{9} d x^{9} + 35 \, a b^{6} c^{8} d^{2} x^{9} + 280 \, a^{2} b^{5} c^{7} d^{3} x^{9} + \frac{2450}{3} \, a^{3} b^{4} c^{6} d^{4} x^{9} + 980 \, a^{4} b^{3} c^{5} d^{5} x^{9} + 490 \, a^{5} b^{2} c^{4} d^{6} x^{9} + \frac{280}{3} \, a^{6} b c^{3} d^{7} x^{9} + 5 \, a^{7} c^{2} d^{8} x^{9} + \frac{1}{8} \, b^{7} c^{10} x^{8} + \frac{35}{4} \, a b^{6} c^{9} d x^{8} + \frac{945}{8} \, a^{2} b^{5} c^{8} d^{2} x^{8} + 525 \, a^{3} b^{4} c^{7} d^{3} x^{8} + \frac{3675}{4} \, a^{4} b^{3} c^{6} d^{4} x^{8} + \frac{1323}{2} \, a^{5} b^{2} c^{5} d^{5} x^{8} + \frac{735}{4} \, a^{6} b c^{4} d^{6} x^{8} + 15 \, a^{7} c^{3} d^{7} x^{8} + a b^{6} c^{10} x^{7} + 30 \, a^{2} b^{5} c^{9} d x^{7} + 225 \, a^{3} b^{4} c^{8} d^{2} x^{7} + 600 \, a^{4} b^{3} c^{7} d^{3} x^{7} + 630 \, a^{5} b^{2} c^{6} d^{4} x^{7} + 252 \, a^{6} b c^{5} d^{5} x^{7} + 30 \, a^{7} c^{4} d^{6} x^{7} + \frac{7}{2} \, a^{2} b^{5} c^{10} x^{6} + \frac{175}{3} \, a^{3} b^{4} c^{9} d x^{6} + \frac{525}{2} \, a^{4} b^{3} c^{8} d^{2} x^{6} + 420 \, a^{5} b^{2} c^{7} d^{3} x^{6} + 245 \, a^{6} b c^{6} d^{4} x^{6} + 42 \, a^{7} c^{5} d^{5} x^{6} + 7 \, a^{3} b^{4} c^{10} x^{5} + 70 \, a^{4} b^{3} c^{9} d x^{5} + 189 \, a^{5} b^{2} c^{8} d^{2} x^{5} + 168 \, a^{6} b c^{7} d^{3} x^{5} + 42 \, a^{7} c^{6} d^{4} x^{5} + \frac{35}{4} \, a^{4} b^{3} c^{10} x^{4} + \frac{105}{2} \, a^{5} b^{2} c^{9} d x^{4} + \frac{315}{4} \, a^{6} b c^{8} d^{2} x^{4} + 30 \, a^{7} c^{7} d^{3} x^{4} + 7 \, a^{5} b^{2} c^{10} x^{3} + \frac{70}{3} \, a^{6} b c^{9} d x^{3} + 15 \, a^{7} c^{8} d^{2} x^{3} + \frac{7}{2} \, a^{6} b c^{10} x^{2} + 5 \, a^{7} c^{9} d x^{2} + a^{7} c^{10} x"," ",0,"1/18*b^7*d^10*x^18 + 10/17*b^7*c*d^9*x^17 + 7/17*a*b^6*d^10*x^17 + 45/16*b^7*c^2*d^8*x^16 + 35/8*a*b^6*c*d^9*x^16 + 21/16*a^2*b^5*d^10*x^16 + 8*b^7*c^3*d^7*x^15 + 21*a*b^6*c^2*d^8*x^15 + 14*a^2*b^5*c*d^9*x^15 + 7/3*a^3*b^4*d^10*x^15 + 15*b^7*c^4*d^6*x^14 + 60*a*b^6*c^3*d^7*x^14 + 135/2*a^2*b^5*c^2*d^8*x^14 + 25*a^3*b^4*c*d^9*x^14 + 5/2*a^4*b^3*d^10*x^14 + 252/13*b^7*c^5*d^5*x^13 + 1470/13*a*b^6*c^4*d^6*x^13 + 2520/13*a^2*b^5*c^3*d^7*x^13 + 1575/13*a^3*b^4*c^2*d^8*x^13 + 350/13*a^4*b^3*c*d^9*x^13 + 21/13*a^5*b^2*d^10*x^13 + 35/2*b^7*c^6*d^4*x^12 + 147*a*b^6*c^5*d^5*x^12 + 735/2*a^2*b^5*c^4*d^6*x^12 + 350*a^3*b^4*c^3*d^7*x^12 + 525/4*a^4*b^3*c^2*d^8*x^12 + 35/2*a^5*b^2*c*d^9*x^12 + 7/12*a^6*b*d^10*x^12 + 120/11*b^7*c^7*d^3*x^11 + 1470/11*a*b^6*c^6*d^4*x^11 + 5292/11*a^2*b^5*c^5*d^5*x^11 + 7350/11*a^3*b^4*c^4*d^6*x^11 + 4200/11*a^4*b^3*c^3*d^7*x^11 + 945/11*a^5*b^2*c^2*d^8*x^11 + 70/11*a^6*b*c*d^9*x^11 + 1/11*a^7*d^10*x^11 + 9/2*b^7*c^8*d^2*x^10 + 84*a*b^6*c^7*d^3*x^10 + 441*a^2*b^5*c^6*d^4*x^10 + 882*a^3*b^4*c^5*d^5*x^10 + 735*a^4*b^3*c^4*d^6*x^10 + 252*a^5*b^2*c^3*d^7*x^10 + 63/2*a^6*b*c^2*d^8*x^10 + a^7*c*d^9*x^10 + 10/9*b^7*c^9*d*x^9 + 35*a*b^6*c^8*d^2*x^9 + 280*a^2*b^5*c^7*d^3*x^9 + 2450/3*a^3*b^4*c^6*d^4*x^9 + 980*a^4*b^3*c^5*d^5*x^9 + 490*a^5*b^2*c^4*d^6*x^9 + 280/3*a^6*b*c^3*d^7*x^9 + 5*a^7*c^2*d^8*x^9 + 1/8*b^7*c^10*x^8 + 35/4*a*b^6*c^9*d*x^8 + 945/8*a^2*b^5*c^8*d^2*x^8 + 525*a^3*b^4*c^7*d^3*x^8 + 3675/4*a^4*b^3*c^6*d^4*x^8 + 1323/2*a^5*b^2*c^5*d^5*x^8 + 735/4*a^6*b*c^4*d^6*x^8 + 15*a^7*c^3*d^7*x^8 + a*b^6*c^10*x^7 + 30*a^2*b^5*c^9*d*x^7 + 225*a^3*b^4*c^8*d^2*x^7 + 600*a^4*b^3*c^7*d^3*x^7 + 630*a^5*b^2*c^6*d^4*x^7 + 252*a^6*b*c^5*d^5*x^7 + 30*a^7*c^4*d^6*x^7 + 7/2*a^2*b^5*c^10*x^6 + 175/3*a^3*b^4*c^9*d*x^6 + 525/2*a^4*b^3*c^8*d^2*x^6 + 420*a^5*b^2*c^7*d^3*x^6 + 245*a^6*b*c^6*d^4*x^6 + 42*a^7*c^5*d^5*x^6 + 7*a^3*b^4*c^10*x^5 + 70*a^4*b^3*c^9*d*x^5 + 189*a^5*b^2*c^8*d^2*x^5 + 168*a^6*b*c^7*d^3*x^5 + 42*a^7*c^6*d^4*x^5 + 35/4*a^4*b^3*c^10*x^4 + 105/2*a^5*b^2*c^9*d*x^4 + 315/4*a^6*b*c^8*d^2*x^4 + 30*a^7*c^7*d^3*x^4 + 7*a^5*b^2*c^10*x^3 + 70/3*a^6*b*c^9*d*x^3 + 15*a^7*c^8*d^2*x^3 + 7/2*a^6*b*c^10*x^2 + 5*a^7*c^9*d*x^2 + a^7*c^10*x","B",0
1305,1,1124,0,1.296294," ","integrate((b*x+a)^6*(d*x+c)^10,x, algorithm=""giac"")","\frac{1}{17} \, b^{6} d^{10} x^{17} + \frac{5}{8} \, b^{6} c d^{9} x^{16} + \frac{3}{8} \, a b^{5} d^{10} x^{16} + 3 \, b^{6} c^{2} d^{8} x^{15} + 4 \, a b^{5} c d^{9} x^{15} + a^{2} b^{4} d^{10} x^{15} + \frac{60}{7} \, b^{6} c^{3} d^{7} x^{14} + \frac{135}{7} \, a b^{5} c^{2} d^{8} x^{14} + \frac{75}{7} \, a^{2} b^{4} c d^{9} x^{14} + \frac{10}{7} \, a^{3} b^{3} d^{10} x^{14} + \frac{210}{13} \, b^{6} c^{4} d^{6} x^{13} + \frac{720}{13} \, a b^{5} c^{3} d^{7} x^{13} + \frac{675}{13} \, a^{2} b^{4} c^{2} d^{8} x^{13} + \frac{200}{13} \, a^{3} b^{3} c d^{9} x^{13} + \frac{15}{13} \, a^{4} b^{2} d^{10} x^{13} + 21 \, b^{6} c^{5} d^{5} x^{12} + 105 \, a b^{5} c^{4} d^{6} x^{12} + 150 \, a^{2} b^{4} c^{3} d^{7} x^{12} + 75 \, a^{3} b^{3} c^{2} d^{8} x^{12} + \frac{25}{2} \, a^{4} b^{2} c d^{9} x^{12} + \frac{1}{2} \, a^{5} b d^{10} x^{12} + \frac{210}{11} \, b^{6} c^{6} d^{4} x^{11} + \frac{1512}{11} \, a b^{5} c^{5} d^{5} x^{11} + \frac{3150}{11} \, a^{2} b^{4} c^{4} d^{6} x^{11} + \frac{2400}{11} \, a^{3} b^{3} c^{3} d^{7} x^{11} + \frac{675}{11} \, a^{4} b^{2} c^{2} d^{8} x^{11} + \frac{60}{11} \, a^{5} b c d^{9} x^{11} + \frac{1}{11} \, a^{6} d^{10} x^{11} + 12 \, b^{6} c^{7} d^{3} x^{10} + 126 \, a b^{5} c^{6} d^{4} x^{10} + 378 \, a^{2} b^{4} c^{5} d^{5} x^{10} + 420 \, a^{3} b^{3} c^{4} d^{6} x^{10} + 180 \, a^{4} b^{2} c^{3} d^{7} x^{10} + 27 \, a^{5} b c^{2} d^{8} x^{10} + a^{6} c d^{9} x^{10} + 5 \, b^{6} c^{8} d^{2} x^{9} + 80 \, a b^{5} c^{7} d^{3} x^{9} + 350 \, a^{2} b^{4} c^{6} d^{4} x^{9} + 560 \, a^{3} b^{3} c^{5} d^{5} x^{9} + 350 \, a^{4} b^{2} c^{4} d^{6} x^{9} + 80 \, a^{5} b c^{3} d^{7} x^{9} + 5 \, a^{6} c^{2} d^{8} x^{9} + \frac{5}{4} \, b^{6} c^{9} d x^{8} + \frac{135}{4} \, a b^{5} c^{8} d^{2} x^{8} + 225 \, a^{2} b^{4} c^{7} d^{3} x^{8} + 525 \, a^{3} b^{3} c^{6} d^{4} x^{8} + \frac{945}{2} \, a^{4} b^{2} c^{5} d^{5} x^{8} + \frac{315}{2} \, a^{5} b c^{4} d^{6} x^{8} + 15 \, a^{6} c^{3} d^{7} x^{8} + \frac{1}{7} \, b^{6} c^{10} x^{7} + \frac{60}{7} \, a b^{5} c^{9} d x^{7} + \frac{675}{7} \, a^{2} b^{4} c^{8} d^{2} x^{7} + \frac{2400}{7} \, a^{3} b^{3} c^{7} d^{3} x^{7} + 450 \, a^{4} b^{2} c^{6} d^{4} x^{7} + 216 \, a^{5} b c^{5} d^{5} x^{7} + 30 \, a^{6} c^{4} d^{6} x^{7} + a b^{5} c^{10} x^{6} + 25 \, a^{2} b^{4} c^{9} d x^{6} + 150 \, a^{3} b^{3} c^{8} d^{2} x^{6} + 300 \, a^{4} b^{2} c^{7} d^{3} x^{6} + 210 \, a^{5} b c^{6} d^{4} x^{6} + 42 \, a^{6} c^{5} d^{5} x^{6} + 3 \, a^{2} b^{4} c^{10} x^{5} + 40 \, a^{3} b^{3} c^{9} d x^{5} + 135 \, a^{4} b^{2} c^{8} d^{2} x^{5} + 144 \, a^{5} b c^{7} d^{3} x^{5} + 42 \, a^{6} c^{6} d^{4} x^{5} + 5 \, a^{3} b^{3} c^{10} x^{4} + \frac{75}{2} \, a^{4} b^{2} c^{9} d x^{4} + \frac{135}{2} \, a^{5} b c^{8} d^{2} x^{4} + 30 \, a^{6} c^{7} d^{3} x^{4} + 5 \, a^{4} b^{2} c^{10} x^{3} + 20 \, a^{5} b c^{9} d x^{3} + 15 \, a^{6} c^{8} d^{2} x^{3} + 3 \, a^{5} b c^{10} x^{2} + 5 \, a^{6} c^{9} d x^{2} + a^{6} c^{10} x"," ",0,"1/17*b^6*d^10*x^17 + 5/8*b^6*c*d^9*x^16 + 3/8*a*b^5*d^10*x^16 + 3*b^6*c^2*d^8*x^15 + 4*a*b^5*c*d^9*x^15 + a^2*b^4*d^10*x^15 + 60/7*b^6*c^3*d^7*x^14 + 135/7*a*b^5*c^2*d^8*x^14 + 75/7*a^2*b^4*c*d^9*x^14 + 10/7*a^3*b^3*d^10*x^14 + 210/13*b^6*c^4*d^6*x^13 + 720/13*a*b^5*c^3*d^7*x^13 + 675/13*a^2*b^4*c^2*d^8*x^13 + 200/13*a^3*b^3*c*d^9*x^13 + 15/13*a^4*b^2*d^10*x^13 + 21*b^6*c^5*d^5*x^12 + 105*a*b^5*c^4*d^6*x^12 + 150*a^2*b^4*c^3*d^7*x^12 + 75*a^3*b^3*c^2*d^8*x^12 + 25/2*a^4*b^2*c*d^9*x^12 + 1/2*a^5*b*d^10*x^12 + 210/11*b^6*c^6*d^4*x^11 + 1512/11*a*b^5*c^5*d^5*x^11 + 3150/11*a^2*b^4*c^4*d^6*x^11 + 2400/11*a^3*b^3*c^3*d^7*x^11 + 675/11*a^4*b^2*c^2*d^8*x^11 + 60/11*a^5*b*c*d^9*x^11 + 1/11*a^6*d^10*x^11 + 12*b^6*c^7*d^3*x^10 + 126*a*b^5*c^6*d^4*x^10 + 378*a^2*b^4*c^5*d^5*x^10 + 420*a^3*b^3*c^4*d^6*x^10 + 180*a^4*b^2*c^3*d^7*x^10 + 27*a^5*b*c^2*d^8*x^10 + a^6*c*d^9*x^10 + 5*b^6*c^8*d^2*x^9 + 80*a*b^5*c^7*d^3*x^9 + 350*a^2*b^4*c^6*d^4*x^9 + 560*a^3*b^3*c^5*d^5*x^9 + 350*a^4*b^2*c^4*d^6*x^9 + 80*a^5*b*c^3*d^7*x^9 + 5*a^6*c^2*d^8*x^9 + 5/4*b^6*c^9*d*x^8 + 135/4*a*b^5*c^8*d^2*x^8 + 225*a^2*b^4*c^7*d^3*x^8 + 525*a^3*b^3*c^6*d^4*x^8 + 945/2*a^4*b^2*c^5*d^5*x^8 + 315/2*a^5*b*c^4*d^6*x^8 + 15*a^6*c^3*d^7*x^8 + 1/7*b^6*c^10*x^7 + 60/7*a*b^5*c^9*d*x^7 + 675/7*a^2*b^4*c^8*d^2*x^7 + 2400/7*a^3*b^3*c^7*d^3*x^7 + 450*a^4*b^2*c^6*d^4*x^7 + 216*a^5*b*c^5*d^5*x^7 + 30*a^6*c^4*d^6*x^7 + a*b^5*c^10*x^6 + 25*a^2*b^4*c^9*d*x^6 + 150*a^3*b^3*c^8*d^2*x^6 + 300*a^4*b^2*c^7*d^3*x^6 + 210*a^5*b*c^6*d^4*x^6 + 42*a^6*c^5*d^5*x^6 + 3*a^2*b^4*c^10*x^5 + 40*a^3*b^3*c^9*d*x^5 + 135*a^4*b^2*c^8*d^2*x^5 + 144*a^5*b*c^7*d^3*x^5 + 42*a^6*c^6*d^4*x^5 + 5*a^3*b^3*c^10*x^4 + 75/2*a^4*b^2*c^9*d*x^4 + 135/2*a^5*b*c^8*d^2*x^4 + 30*a^6*c^7*d^3*x^4 + 5*a^4*b^2*c^10*x^3 + 20*a^5*b*c^9*d*x^3 + 15*a^6*c^8*d^2*x^3 + 3*a^5*b*c^10*x^2 + 5*a^6*c^9*d*x^2 + a^6*c^10*x","B",0
1306,1,948,0,1.316385," ","integrate((b*x+a)^5*(d*x+c)^10,x, algorithm=""giac"")","\frac{1}{16} \, b^{5} d^{10} x^{16} + \frac{2}{3} \, b^{5} c d^{9} x^{15} + \frac{1}{3} \, a b^{4} d^{10} x^{15} + \frac{45}{14} \, b^{5} c^{2} d^{8} x^{14} + \frac{25}{7} \, a b^{4} c d^{9} x^{14} + \frac{5}{7} \, a^{2} b^{3} d^{10} x^{14} + \frac{120}{13} \, b^{5} c^{3} d^{7} x^{13} + \frac{225}{13} \, a b^{4} c^{2} d^{8} x^{13} + \frac{100}{13} \, a^{2} b^{3} c d^{9} x^{13} + \frac{10}{13} \, a^{3} b^{2} d^{10} x^{13} + \frac{35}{2} \, b^{5} c^{4} d^{6} x^{12} + 50 \, a b^{4} c^{3} d^{7} x^{12} + \frac{75}{2} \, a^{2} b^{3} c^{2} d^{8} x^{12} + \frac{25}{3} \, a^{3} b^{2} c d^{9} x^{12} + \frac{5}{12} \, a^{4} b d^{10} x^{12} + \frac{252}{11} \, b^{5} c^{5} d^{5} x^{11} + \frac{1050}{11} \, a b^{4} c^{4} d^{6} x^{11} + \frac{1200}{11} \, a^{2} b^{3} c^{3} d^{7} x^{11} + \frac{450}{11} \, a^{3} b^{2} c^{2} d^{8} x^{11} + \frac{50}{11} \, a^{4} b c d^{9} x^{11} + \frac{1}{11} \, a^{5} d^{10} x^{11} + 21 \, b^{5} c^{6} d^{4} x^{10} + 126 \, a b^{4} c^{5} d^{5} x^{10} + 210 \, a^{2} b^{3} c^{4} d^{6} x^{10} + 120 \, a^{3} b^{2} c^{3} d^{7} x^{10} + \frac{45}{2} \, a^{4} b c^{2} d^{8} x^{10} + a^{5} c d^{9} x^{10} + \frac{40}{3} \, b^{5} c^{7} d^{3} x^{9} + \frac{350}{3} \, a b^{4} c^{6} d^{4} x^{9} + 280 \, a^{2} b^{3} c^{5} d^{5} x^{9} + \frac{700}{3} \, a^{3} b^{2} c^{4} d^{6} x^{9} + \frac{200}{3} \, a^{4} b c^{3} d^{7} x^{9} + 5 \, a^{5} c^{2} d^{8} x^{9} + \frac{45}{8} \, b^{5} c^{8} d^{2} x^{8} + 75 \, a b^{4} c^{7} d^{3} x^{8} + \frac{525}{2} \, a^{2} b^{3} c^{6} d^{4} x^{8} + 315 \, a^{3} b^{2} c^{5} d^{5} x^{8} + \frac{525}{4} \, a^{4} b c^{4} d^{6} x^{8} + 15 \, a^{5} c^{3} d^{7} x^{8} + \frac{10}{7} \, b^{5} c^{9} d x^{7} + \frac{225}{7} \, a b^{4} c^{8} d^{2} x^{7} + \frac{1200}{7} \, a^{2} b^{3} c^{7} d^{3} x^{7} + 300 \, a^{3} b^{2} c^{6} d^{4} x^{7} + 180 \, a^{4} b c^{5} d^{5} x^{7} + 30 \, a^{5} c^{4} d^{6} x^{7} + \frac{1}{6} \, b^{5} c^{10} x^{6} + \frac{25}{3} \, a b^{4} c^{9} d x^{6} + 75 \, a^{2} b^{3} c^{8} d^{2} x^{6} + 200 \, a^{3} b^{2} c^{7} d^{3} x^{6} + 175 \, a^{4} b c^{6} d^{4} x^{6} + 42 \, a^{5} c^{5} d^{5} x^{6} + a b^{4} c^{10} x^{5} + 20 \, a^{2} b^{3} c^{9} d x^{5} + 90 \, a^{3} b^{2} c^{8} d^{2} x^{5} + 120 \, a^{4} b c^{7} d^{3} x^{5} + 42 \, a^{5} c^{6} d^{4} x^{5} + \frac{5}{2} \, a^{2} b^{3} c^{10} x^{4} + 25 \, a^{3} b^{2} c^{9} d x^{4} + \frac{225}{4} \, a^{4} b c^{8} d^{2} x^{4} + 30 \, a^{5} c^{7} d^{3} x^{4} + \frac{10}{3} \, a^{3} b^{2} c^{10} x^{3} + \frac{50}{3} \, a^{4} b c^{9} d x^{3} + 15 \, a^{5} c^{8} d^{2} x^{3} + \frac{5}{2} \, a^{4} b c^{10} x^{2} + 5 \, a^{5} c^{9} d x^{2} + a^{5} c^{10} x"," ",0,"1/16*b^5*d^10*x^16 + 2/3*b^5*c*d^9*x^15 + 1/3*a*b^4*d^10*x^15 + 45/14*b^5*c^2*d^8*x^14 + 25/7*a*b^4*c*d^9*x^14 + 5/7*a^2*b^3*d^10*x^14 + 120/13*b^5*c^3*d^7*x^13 + 225/13*a*b^4*c^2*d^8*x^13 + 100/13*a^2*b^3*c*d^9*x^13 + 10/13*a^3*b^2*d^10*x^13 + 35/2*b^5*c^4*d^6*x^12 + 50*a*b^4*c^3*d^7*x^12 + 75/2*a^2*b^3*c^2*d^8*x^12 + 25/3*a^3*b^2*c*d^9*x^12 + 5/12*a^4*b*d^10*x^12 + 252/11*b^5*c^5*d^5*x^11 + 1050/11*a*b^4*c^4*d^6*x^11 + 1200/11*a^2*b^3*c^3*d^7*x^11 + 450/11*a^3*b^2*c^2*d^8*x^11 + 50/11*a^4*b*c*d^9*x^11 + 1/11*a^5*d^10*x^11 + 21*b^5*c^6*d^4*x^10 + 126*a*b^4*c^5*d^5*x^10 + 210*a^2*b^3*c^4*d^6*x^10 + 120*a^3*b^2*c^3*d^7*x^10 + 45/2*a^4*b*c^2*d^8*x^10 + a^5*c*d^9*x^10 + 40/3*b^5*c^7*d^3*x^9 + 350/3*a*b^4*c^6*d^4*x^9 + 280*a^2*b^3*c^5*d^5*x^9 + 700/3*a^3*b^2*c^4*d^6*x^9 + 200/3*a^4*b*c^3*d^7*x^9 + 5*a^5*c^2*d^8*x^9 + 45/8*b^5*c^8*d^2*x^8 + 75*a*b^4*c^7*d^3*x^8 + 525/2*a^2*b^3*c^6*d^4*x^8 + 315*a^3*b^2*c^5*d^5*x^8 + 525/4*a^4*b*c^4*d^6*x^8 + 15*a^5*c^3*d^7*x^8 + 10/7*b^5*c^9*d*x^7 + 225/7*a*b^4*c^8*d^2*x^7 + 1200/7*a^2*b^3*c^7*d^3*x^7 + 300*a^3*b^2*c^6*d^4*x^7 + 180*a^4*b*c^5*d^5*x^7 + 30*a^5*c^4*d^6*x^7 + 1/6*b^5*c^10*x^6 + 25/3*a*b^4*c^9*d*x^6 + 75*a^2*b^3*c^8*d^2*x^6 + 200*a^3*b^2*c^7*d^3*x^6 + 175*a^4*b*c^6*d^4*x^6 + 42*a^5*c^5*d^5*x^6 + a*b^4*c^10*x^5 + 20*a^2*b^3*c^9*d*x^5 + 90*a^3*b^2*c^8*d^2*x^5 + 120*a^4*b*c^7*d^3*x^5 + 42*a^5*c^6*d^4*x^5 + 5/2*a^2*b^3*c^10*x^4 + 25*a^3*b^2*c^9*d*x^4 + 225/4*a^4*b*c^8*d^2*x^4 + 30*a^5*c^7*d^3*x^4 + 10/3*a^3*b^2*c^10*x^3 + 50/3*a^4*b*c^9*d*x^3 + 15*a^5*c^8*d^2*x^3 + 5/2*a^4*b*c^10*x^2 + 5*a^5*c^9*d*x^2 + a^5*c^10*x","B",0
1307,1,771,0,1.269846," ","integrate((b*x+a)^4*(d*x+c)^10,x, algorithm=""giac"")","\frac{1}{15} \, b^{4} d^{10} x^{15} + \frac{5}{7} \, b^{4} c d^{9} x^{14} + \frac{2}{7} \, a b^{3} d^{10} x^{14} + \frac{45}{13} \, b^{4} c^{2} d^{8} x^{13} + \frac{40}{13} \, a b^{3} c d^{9} x^{13} + \frac{6}{13} \, a^{2} b^{2} d^{10} x^{13} + 10 \, b^{4} c^{3} d^{7} x^{12} + 15 \, a b^{3} c^{2} d^{8} x^{12} + 5 \, a^{2} b^{2} c d^{9} x^{12} + \frac{1}{3} \, a^{3} b d^{10} x^{12} + \frac{210}{11} \, b^{4} c^{4} d^{6} x^{11} + \frac{480}{11} \, a b^{3} c^{3} d^{7} x^{11} + \frac{270}{11} \, a^{2} b^{2} c^{2} d^{8} x^{11} + \frac{40}{11} \, a^{3} b c d^{9} x^{11} + \frac{1}{11} \, a^{4} d^{10} x^{11} + \frac{126}{5} \, b^{4} c^{5} d^{5} x^{10} + 84 \, a b^{3} c^{4} d^{6} x^{10} + 72 \, a^{2} b^{2} c^{3} d^{7} x^{10} + 18 \, a^{3} b c^{2} d^{8} x^{10} + a^{4} c d^{9} x^{10} + \frac{70}{3} \, b^{4} c^{6} d^{4} x^{9} + 112 \, a b^{3} c^{5} d^{5} x^{9} + 140 \, a^{2} b^{2} c^{4} d^{6} x^{9} + \frac{160}{3} \, a^{3} b c^{3} d^{7} x^{9} + 5 \, a^{4} c^{2} d^{8} x^{9} + 15 \, b^{4} c^{7} d^{3} x^{8} + 105 \, a b^{3} c^{6} d^{4} x^{8} + 189 \, a^{2} b^{2} c^{5} d^{5} x^{8} + 105 \, a^{3} b c^{4} d^{6} x^{8} + 15 \, a^{4} c^{3} d^{7} x^{8} + \frac{45}{7} \, b^{4} c^{8} d^{2} x^{7} + \frac{480}{7} \, a b^{3} c^{7} d^{3} x^{7} + 180 \, a^{2} b^{2} c^{6} d^{4} x^{7} + 144 \, a^{3} b c^{5} d^{5} x^{7} + 30 \, a^{4} c^{4} d^{6} x^{7} + \frac{5}{3} \, b^{4} c^{9} d x^{6} + 30 \, a b^{3} c^{8} d^{2} x^{6} + 120 \, a^{2} b^{2} c^{7} d^{3} x^{6} + 140 \, a^{3} b c^{6} d^{4} x^{6} + 42 \, a^{4} c^{5} d^{5} x^{6} + \frac{1}{5} \, b^{4} c^{10} x^{5} + 8 \, a b^{3} c^{9} d x^{5} + 54 \, a^{2} b^{2} c^{8} d^{2} x^{5} + 96 \, a^{3} b c^{7} d^{3} x^{5} + 42 \, a^{4} c^{6} d^{4} x^{5} + a b^{3} c^{10} x^{4} + 15 \, a^{2} b^{2} c^{9} d x^{4} + 45 \, a^{3} b c^{8} d^{2} x^{4} + 30 \, a^{4} c^{7} d^{3} x^{4} + 2 \, a^{2} b^{2} c^{10} x^{3} + \frac{40}{3} \, a^{3} b c^{9} d x^{3} + 15 \, a^{4} c^{8} d^{2} x^{3} + 2 \, a^{3} b c^{10} x^{2} + 5 \, a^{4} c^{9} d x^{2} + a^{4} c^{10} x"," ",0,"1/15*b^4*d^10*x^15 + 5/7*b^4*c*d^9*x^14 + 2/7*a*b^3*d^10*x^14 + 45/13*b^4*c^2*d^8*x^13 + 40/13*a*b^3*c*d^9*x^13 + 6/13*a^2*b^2*d^10*x^13 + 10*b^4*c^3*d^7*x^12 + 15*a*b^3*c^2*d^8*x^12 + 5*a^2*b^2*c*d^9*x^12 + 1/3*a^3*b*d^10*x^12 + 210/11*b^4*c^4*d^6*x^11 + 480/11*a*b^3*c^3*d^7*x^11 + 270/11*a^2*b^2*c^2*d^8*x^11 + 40/11*a^3*b*c*d^9*x^11 + 1/11*a^4*d^10*x^11 + 126/5*b^4*c^5*d^5*x^10 + 84*a*b^3*c^4*d^6*x^10 + 72*a^2*b^2*c^3*d^7*x^10 + 18*a^3*b*c^2*d^8*x^10 + a^4*c*d^9*x^10 + 70/3*b^4*c^6*d^4*x^9 + 112*a*b^3*c^5*d^5*x^9 + 140*a^2*b^2*c^4*d^6*x^9 + 160/3*a^3*b*c^3*d^7*x^9 + 5*a^4*c^2*d^8*x^9 + 15*b^4*c^7*d^3*x^8 + 105*a*b^3*c^6*d^4*x^8 + 189*a^2*b^2*c^5*d^5*x^8 + 105*a^3*b*c^4*d^6*x^8 + 15*a^4*c^3*d^7*x^8 + 45/7*b^4*c^8*d^2*x^7 + 480/7*a*b^3*c^7*d^3*x^7 + 180*a^2*b^2*c^6*d^4*x^7 + 144*a^3*b*c^5*d^5*x^7 + 30*a^4*c^4*d^6*x^7 + 5/3*b^4*c^9*d*x^6 + 30*a*b^3*c^8*d^2*x^6 + 120*a^2*b^2*c^7*d^3*x^6 + 140*a^3*b*c^6*d^4*x^6 + 42*a^4*c^5*d^5*x^6 + 1/5*b^4*c^10*x^5 + 8*a*b^3*c^9*d*x^5 + 54*a^2*b^2*c^8*d^2*x^5 + 96*a^3*b*c^7*d^3*x^5 + 42*a^4*c^6*d^4*x^5 + a*b^3*c^10*x^4 + 15*a^2*b^2*c^9*d*x^4 + 45*a^3*b*c^8*d^2*x^4 + 30*a^4*c^7*d^3*x^4 + 2*a^2*b^2*c^10*x^3 + 40/3*a^3*b*c^9*d*x^3 + 15*a^4*c^8*d^2*x^3 + 2*a^3*b*c^10*x^2 + 5*a^4*c^9*d*x^2 + a^4*c^10*x","B",0
1308,1,594,0,1.275123," ","integrate((b*x+a)^3*(d*x+c)^10,x, algorithm=""giac"")","\frac{1}{14} \, b^{3} d^{10} x^{14} + \frac{10}{13} \, b^{3} c d^{9} x^{13} + \frac{3}{13} \, a b^{2} d^{10} x^{13} + \frac{15}{4} \, b^{3} c^{2} d^{8} x^{12} + \frac{5}{2} \, a b^{2} c d^{9} x^{12} + \frac{1}{4} \, a^{2} b d^{10} x^{12} + \frac{120}{11} \, b^{3} c^{3} d^{7} x^{11} + \frac{135}{11} \, a b^{2} c^{2} d^{8} x^{11} + \frac{30}{11} \, a^{2} b c d^{9} x^{11} + \frac{1}{11} \, a^{3} d^{10} x^{11} + 21 \, b^{3} c^{4} d^{6} x^{10} + 36 \, a b^{2} c^{3} d^{7} x^{10} + \frac{27}{2} \, a^{2} b c^{2} d^{8} x^{10} + a^{3} c d^{9} x^{10} + 28 \, b^{3} c^{5} d^{5} x^{9} + 70 \, a b^{2} c^{4} d^{6} x^{9} + 40 \, a^{2} b c^{3} d^{7} x^{9} + 5 \, a^{3} c^{2} d^{8} x^{9} + \frac{105}{4} \, b^{3} c^{6} d^{4} x^{8} + \frac{189}{2} \, a b^{2} c^{5} d^{5} x^{8} + \frac{315}{4} \, a^{2} b c^{4} d^{6} x^{8} + 15 \, a^{3} c^{3} d^{7} x^{8} + \frac{120}{7} \, b^{3} c^{7} d^{3} x^{7} + 90 \, a b^{2} c^{6} d^{4} x^{7} + 108 \, a^{2} b c^{5} d^{5} x^{7} + 30 \, a^{3} c^{4} d^{6} x^{7} + \frac{15}{2} \, b^{3} c^{8} d^{2} x^{6} + 60 \, a b^{2} c^{7} d^{3} x^{6} + 105 \, a^{2} b c^{6} d^{4} x^{6} + 42 \, a^{3} c^{5} d^{5} x^{6} + 2 \, b^{3} c^{9} d x^{5} + 27 \, a b^{2} c^{8} d^{2} x^{5} + 72 \, a^{2} b c^{7} d^{3} x^{5} + 42 \, a^{3} c^{6} d^{4} x^{5} + \frac{1}{4} \, b^{3} c^{10} x^{4} + \frac{15}{2} \, a b^{2} c^{9} d x^{4} + \frac{135}{4} \, a^{2} b c^{8} d^{2} x^{4} + 30 \, a^{3} c^{7} d^{3} x^{4} + a b^{2} c^{10} x^{3} + 10 \, a^{2} b c^{9} d x^{3} + 15 \, a^{3} c^{8} d^{2} x^{3} + \frac{3}{2} \, a^{2} b c^{10} x^{2} + 5 \, a^{3} c^{9} d x^{2} + a^{3} c^{10} x"," ",0,"1/14*b^3*d^10*x^14 + 10/13*b^3*c*d^9*x^13 + 3/13*a*b^2*d^10*x^13 + 15/4*b^3*c^2*d^8*x^12 + 5/2*a*b^2*c*d^9*x^12 + 1/4*a^2*b*d^10*x^12 + 120/11*b^3*c^3*d^7*x^11 + 135/11*a*b^2*c^2*d^8*x^11 + 30/11*a^2*b*c*d^9*x^11 + 1/11*a^3*d^10*x^11 + 21*b^3*c^4*d^6*x^10 + 36*a*b^2*c^3*d^7*x^10 + 27/2*a^2*b*c^2*d^8*x^10 + a^3*c*d^9*x^10 + 28*b^3*c^5*d^5*x^9 + 70*a*b^2*c^4*d^6*x^9 + 40*a^2*b*c^3*d^7*x^9 + 5*a^3*c^2*d^8*x^9 + 105/4*b^3*c^6*d^4*x^8 + 189/2*a*b^2*c^5*d^5*x^8 + 315/4*a^2*b*c^4*d^6*x^8 + 15*a^3*c^3*d^7*x^8 + 120/7*b^3*c^7*d^3*x^7 + 90*a*b^2*c^6*d^4*x^7 + 108*a^2*b*c^5*d^5*x^7 + 30*a^3*c^4*d^6*x^7 + 15/2*b^3*c^8*d^2*x^6 + 60*a*b^2*c^7*d^3*x^6 + 105*a^2*b*c^6*d^4*x^6 + 42*a^3*c^5*d^5*x^6 + 2*b^3*c^9*d*x^5 + 27*a*b^2*c^8*d^2*x^5 + 72*a^2*b*c^7*d^3*x^5 + 42*a^3*c^6*d^4*x^5 + 1/4*b^3*c^10*x^4 + 15/2*a*b^2*c^9*d*x^4 + 135/4*a^2*b*c^8*d^2*x^4 + 30*a^3*c^7*d^3*x^4 + a*b^2*c^10*x^3 + 10*a^2*b*c^9*d*x^3 + 15*a^3*c^8*d^2*x^3 + 3/2*a^2*b*c^10*x^2 + 5*a^3*c^9*d*x^2 + a^3*c^10*x","B",0
1309,1,417,0,1.262974," ","integrate((b*x+a)^2*(d*x+c)^10,x, algorithm=""giac"")","\frac{1}{13} \, b^{2} d^{10} x^{13} + \frac{5}{6} \, b^{2} c d^{9} x^{12} + \frac{1}{6} \, a b d^{10} x^{12} + \frac{45}{11} \, b^{2} c^{2} d^{8} x^{11} + \frac{20}{11} \, a b c d^{9} x^{11} + \frac{1}{11} \, a^{2} d^{10} x^{11} + 12 \, b^{2} c^{3} d^{7} x^{10} + 9 \, a b c^{2} d^{8} x^{10} + a^{2} c d^{9} x^{10} + \frac{70}{3} \, b^{2} c^{4} d^{6} x^{9} + \frac{80}{3} \, a b c^{3} d^{7} x^{9} + 5 \, a^{2} c^{2} d^{8} x^{9} + \frac{63}{2} \, b^{2} c^{5} d^{5} x^{8} + \frac{105}{2} \, a b c^{4} d^{6} x^{8} + 15 \, a^{2} c^{3} d^{7} x^{8} + 30 \, b^{2} c^{6} d^{4} x^{7} + 72 \, a b c^{5} d^{5} x^{7} + 30 \, a^{2} c^{4} d^{6} x^{7} + 20 \, b^{2} c^{7} d^{3} x^{6} + 70 \, a b c^{6} d^{4} x^{6} + 42 \, a^{2} c^{5} d^{5} x^{6} + 9 \, b^{2} c^{8} d^{2} x^{5} + 48 \, a b c^{7} d^{3} x^{5} + 42 \, a^{2} c^{6} d^{4} x^{5} + \frac{5}{2} \, b^{2} c^{9} d x^{4} + \frac{45}{2} \, a b c^{8} d^{2} x^{4} + 30 \, a^{2} c^{7} d^{3} x^{4} + \frac{1}{3} \, b^{2} c^{10} x^{3} + \frac{20}{3} \, a b c^{9} d x^{3} + 15 \, a^{2} c^{8} d^{2} x^{3} + a b c^{10} x^{2} + 5 \, a^{2} c^{9} d x^{2} + a^{2} c^{10} x"," ",0,"1/13*b^2*d^10*x^13 + 5/6*b^2*c*d^9*x^12 + 1/6*a*b*d^10*x^12 + 45/11*b^2*c^2*d^8*x^11 + 20/11*a*b*c*d^9*x^11 + 1/11*a^2*d^10*x^11 + 12*b^2*c^3*d^7*x^10 + 9*a*b*c^2*d^8*x^10 + a^2*c*d^9*x^10 + 70/3*b^2*c^4*d^6*x^9 + 80/3*a*b*c^3*d^7*x^9 + 5*a^2*c^2*d^8*x^9 + 63/2*b^2*c^5*d^5*x^8 + 105/2*a*b*c^4*d^6*x^8 + 15*a^2*c^3*d^7*x^8 + 30*b^2*c^6*d^4*x^7 + 72*a*b*c^5*d^5*x^7 + 30*a^2*c^4*d^6*x^7 + 20*b^2*c^7*d^3*x^6 + 70*a*b*c^6*d^4*x^6 + 42*a^2*c^5*d^5*x^6 + 9*b^2*c^8*d^2*x^5 + 48*a*b*c^7*d^3*x^5 + 42*a^2*c^6*d^4*x^5 + 5/2*b^2*c^9*d*x^4 + 45/2*a*b*c^8*d^2*x^4 + 30*a^2*c^7*d^3*x^4 + 1/3*b^2*c^10*x^3 + 20/3*a*b*c^9*d*x^3 + 15*a^2*c^8*d^2*x^3 + a*b*c^10*x^2 + 5*a^2*c^9*d*x^2 + a^2*c^10*x","B",0
1310,1,241,0,1.264842," ","integrate((b*x+a)*(d*x+c)^10,x, algorithm=""giac"")","\frac{1}{12} \, b d^{10} x^{12} + \frac{10}{11} \, b c d^{9} x^{11} + \frac{1}{11} \, a d^{10} x^{11} + \frac{9}{2} \, b c^{2} d^{8} x^{10} + a c d^{9} x^{10} + \frac{40}{3} \, b c^{3} d^{7} x^{9} + 5 \, a c^{2} d^{8} x^{9} + \frac{105}{4} \, b c^{4} d^{6} x^{8} + 15 \, a c^{3} d^{7} x^{8} + 36 \, b c^{5} d^{5} x^{7} + 30 \, a c^{4} d^{6} x^{7} + 35 \, b c^{6} d^{4} x^{6} + 42 \, a c^{5} d^{5} x^{6} + 24 \, b c^{7} d^{3} x^{5} + 42 \, a c^{6} d^{4} x^{5} + \frac{45}{4} \, b c^{8} d^{2} x^{4} + 30 \, a c^{7} d^{3} x^{4} + \frac{10}{3} \, b c^{9} d x^{3} + 15 \, a c^{8} d^{2} x^{3} + \frac{1}{2} \, b c^{10} x^{2} + 5 \, a c^{9} d x^{2} + a c^{10} x"," ",0,"1/12*b*d^10*x^12 + 10/11*b*c*d^9*x^11 + 1/11*a*d^10*x^11 + 9/2*b*c^2*d^8*x^10 + a*c*d^9*x^10 + 40/3*b*c^3*d^7*x^9 + 5*a*c^2*d^8*x^9 + 105/4*b*c^4*d^6*x^8 + 15*a*c^3*d^7*x^8 + 36*b*c^5*d^5*x^7 + 30*a*c^4*d^6*x^7 + 35*b*c^6*d^4*x^6 + 42*a*c^5*d^5*x^6 + 24*b*c^7*d^3*x^5 + 42*a*c^6*d^4*x^5 + 45/4*b*c^8*d^2*x^4 + 30*a*c^7*d^3*x^4 + 10/3*b*c^9*d*x^3 + 15*a*c^8*d^2*x^3 + 1/2*b*c^10*x^2 + 5*a*c^9*d*x^2 + a*c^10*x","B",0
1311,1,12,0,1.277573," ","integrate((d*x+c)^10,x, algorithm=""giac"")","\frac{{\left(d x + c\right)}^{11}}{11 \, d}"," ",0,"1/11*(d*x + c)^11/d","A",0
1312,1,961,0,1.345145," ","integrate((d*x+c)^10/(b*x+a),x, algorithm=""giac"")","\frac{252 \, b^{9} d^{10} x^{10} + 2800 \, b^{9} c d^{9} x^{9} - 280 \, a b^{8} d^{10} x^{9} + 14175 \, b^{9} c^{2} d^{8} x^{8} - 3150 \, a b^{8} c d^{9} x^{8} + 315 \, a^{2} b^{7} d^{10} x^{8} + 43200 \, b^{9} c^{3} d^{7} x^{7} - 16200 \, a b^{8} c^{2} d^{8} x^{7} + 3600 \, a^{2} b^{7} c d^{9} x^{7} - 360 \, a^{3} b^{6} d^{10} x^{7} + 88200 \, b^{9} c^{4} d^{6} x^{6} - 50400 \, a b^{8} c^{3} d^{7} x^{6} + 18900 \, a^{2} b^{7} c^{2} d^{8} x^{6} - 4200 \, a^{3} b^{6} c d^{9} x^{6} + 420 \, a^{4} b^{5} d^{10} x^{6} + 127008 \, b^{9} c^{5} d^{5} x^{5} - 105840 \, a b^{8} c^{4} d^{6} x^{5} + 60480 \, a^{2} b^{7} c^{3} d^{7} x^{5} - 22680 \, a^{3} b^{6} c^{2} d^{8} x^{5} + 5040 \, a^{4} b^{5} c d^{9} x^{5} - 504 \, a^{5} b^{4} d^{10} x^{5} + 132300 \, b^{9} c^{6} d^{4} x^{4} - 158760 \, a b^{8} c^{5} d^{5} x^{4} + 132300 \, a^{2} b^{7} c^{4} d^{6} x^{4} - 75600 \, a^{3} b^{6} c^{3} d^{7} x^{4} + 28350 \, a^{4} b^{5} c^{2} d^{8} x^{4} - 6300 \, a^{5} b^{4} c d^{9} x^{4} + 630 \, a^{6} b^{3} d^{10} x^{4} + 100800 \, b^{9} c^{7} d^{3} x^{3} - 176400 \, a b^{8} c^{6} d^{4} x^{3} + 211680 \, a^{2} b^{7} c^{5} d^{5} x^{3} - 176400 \, a^{3} b^{6} c^{4} d^{6} x^{3} + 100800 \, a^{4} b^{5} c^{3} d^{7} x^{3} - 37800 \, a^{5} b^{4} c^{2} d^{8} x^{3} + 8400 \, a^{6} b^{3} c d^{9} x^{3} - 840 \, a^{7} b^{2} d^{10} x^{3} + 56700 \, b^{9} c^{8} d^{2} x^{2} - 151200 \, a b^{8} c^{7} d^{3} x^{2} + 264600 \, a^{2} b^{7} c^{6} d^{4} x^{2} - 317520 \, a^{3} b^{6} c^{5} d^{5} x^{2} + 264600 \, a^{4} b^{5} c^{4} d^{6} x^{2} - 151200 \, a^{5} b^{4} c^{3} d^{7} x^{2} + 56700 \, a^{6} b^{3} c^{2} d^{8} x^{2} - 12600 \, a^{7} b^{2} c d^{9} x^{2} + 1260 \, a^{8} b d^{10} x^{2} + 25200 \, b^{9} c^{9} d x - 113400 \, a b^{8} c^{8} d^{2} x + 302400 \, a^{2} b^{7} c^{7} d^{3} x - 529200 \, a^{3} b^{6} c^{6} d^{4} x + 635040 \, a^{4} b^{5} c^{5} d^{5} x - 529200 \, a^{5} b^{4} c^{4} d^{6} x + 302400 \, a^{6} b^{3} c^{3} d^{7} x - 113400 \, a^{7} b^{2} c^{2} d^{8} x + 25200 \, a^{8} b c d^{9} x - 2520 \, a^{9} d^{10} x}{2520 \, b^{10}} + \frac{{\left(b^{10} c^{10} - 10 \, a b^{9} c^{9} d + 45 \, a^{2} b^{8} c^{8} d^{2} - 120 \, a^{3} b^{7} c^{7} d^{3} + 210 \, a^{4} b^{6} c^{6} d^{4} - 252 \, a^{5} b^{5} c^{5} d^{5} + 210 \, a^{6} b^{4} c^{4} d^{6} - 120 \, a^{7} b^{3} c^{3} d^{7} + 45 \, a^{8} b^{2} c^{2} d^{8} - 10 \, a^{9} b c d^{9} + a^{10} d^{10}\right)} \log\left({\left| b x + a \right|}\right)}{b^{11}}"," ",0,"1/2520*(252*b^9*d^10*x^10 + 2800*b^9*c*d^9*x^9 - 280*a*b^8*d^10*x^9 + 14175*b^9*c^2*d^8*x^8 - 3150*a*b^8*c*d^9*x^8 + 315*a^2*b^7*d^10*x^8 + 43200*b^9*c^3*d^7*x^7 - 16200*a*b^8*c^2*d^8*x^7 + 3600*a^2*b^7*c*d^9*x^7 - 360*a^3*b^6*d^10*x^7 + 88200*b^9*c^4*d^6*x^6 - 50400*a*b^8*c^3*d^7*x^6 + 18900*a^2*b^7*c^2*d^8*x^6 - 4200*a^3*b^6*c*d^9*x^6 + 420*a^4*b^5*d^10*x^6 + 127008*b^9*c^5*d^5*x^5 - 105840*a*b^8*c^4*d^6*x^5 + 60480*a^2*b^7*c^3*d^7*x^5 - 22680*a^3*b^6*c^2*d^8*x^5 + 5040*a^4*b^5*c*d^9*x^5 - 504*a^5*b^4*d^10*x^5 + 132300*b^9*c^6*d^4*x^4 - 158760*a*b^8*c^5*d^5*x^4 + 132300*a^2*b^7*c^4*d^6*x^4 - 75600*a^3*b^6*c^3*d^7*x^4 + 28350*a^4*b^5*c^2*d^8*x^4 - 6300*a^5*b^4*c*d^9*x^4 + 630*a^6*b^3*d^10*x^4 + 100800*b^9*c^7*d^3*x^3 - 176400*a*b^8*c^6*d^4*x^3 + 211680*a^2*b^7*c^5*d^5*x^3 - 176400*a^3*b^6*c^4*d^6*x^3 + 100800*a^4*b^5*c^3*d^7*x^3 - 37800*a^5*b^4*c^2*d^8*x^3 + 8400*a^6*b^3*c*d^9*x^3 - 840*a^7*b^2*d^10*x^3 + 56700*b^9*c^8*d^2*x^2 - 151200*a*b^8*c^7*d^3*x^2 + 264600*a^2*b^7*c^6*d^4*x^2 - 317520*a^3*b^6*c^5*d^5*x^2 + 264600*a^4*b^5*c^4*d^6*x^2 - 151200*a^5*b^4*c^3*d^7*x^2 + 56700*a^6*b^3*c^2*d^8*x^2 - 12600*a^7*b^2*c*d^9*x^2 + 1260*a^8*b*d^10*x^2 + 25200*b^9*c^9*d*x - 113400*a*b^8*c^8*d^2*x + 302400*a^2*b^7*c^7*d^3*x - 529200*a^3*b^6*c^6*d^4*x + 635040*a^4*b^5*c^5*d^5*x - 529200*a^5*b^4*c^4*d^6*x + 302400*a^6*b^3*c^3*d^7*x - 113400*a^7*b^2*c^2*d^8*x + 25200*a^8*b*c*d^9*x - 2520*a^9*d^10*x)/b^10 + (b^10*c^10 - 10*a*b^9*c^9*d + 45*a^2*b^8*c^8*d^2 - 120*a^3*b^7*c^7*d^3 + 210*a^4*b^6*c^6*d^4 - 252*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 - 120*a^7*b^3*c^3*d^7 + 45*a^8*b^2*c^2*d^8 - 10*a^9*b*c*d^9 + a^10*d^10)*log(abs(b*x + a))/b^11","B",0
1313,1,1012,0,1.265138," ","integrate((d*x+c)^10/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(28 \, d^{10} + \frac{315 \, {\left(b^{2} c d^{9} - a b d^{10}\right)}}{{\left(b x + a\right)} b} + \frac{1620 \, {\left(b^{4} c^{2} d^{8} - 2 \, a b^{3} c d^{9} + a^{2} b^{2} d^{10}\right)}}{{\left(b x + a\right)}^{2} b^{2}} + \frac{5040 \, {\left(b^{6} c^{3} d^{7} - 3 \, a b^{5} c^{2} d^{8} + 3 \, a^{2} b^{4} c d^{9} - a^{3} b^{3} d^{10}\right)}}{{\left(b x + a\right)}^{3} b^{3}} + \frac{10584 \, {\left(b^{8} c^{4} d^{6} - 4 \, a b^{7} c^{3} d^{7} + 6 \, a^{2} b^{6} c^{2} d^{8} - 4 \, a^{3} b^{5} c d^{9} + a^{4} b^{4} d^{10}\right)}}{{\left(b x + a\right)}^{4} b^{4}} + \frac{15876 \, {\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)}}{{\left(b x + a\right)}^{5} b^{5}} + \frac{17640 \, {\left(b^{12} c^{6} d^{4} - 6 \, a b^{11} c^{5} d^{5} + 15 \, a^{2} b^{10} c^{4} d^{6} - 20 \, a^{3} b^{9} c^{3} d^{7} + 15 \, a^{4} b^{8} c^{2} d^{8} - 6 \, a^{5} b^{7} c d^{9} + a^{6} b^{6} d^{10}\right)}}{{\left(b x + a\right)}^{6} b^{6}} + \frac{15120 \, {\left(b^{14} c^{7} d^{3} - 7 \, a b^{13} c^{6} d^{4} + 21 \, a^{2} b^{12} c^{5} d^{5} - 35 \, a^{3} b^{11} c^{4} d^{6} + 35 \, a^{4} b^{10} c^{3} d^{7} - 21 \, a^{5} b^{9} c^{2} d^{8} + 7 \, a^{6} b^{8} c d^{9} - a^{7} b^{7} d^{10}\right)}}{{\left(b x + a\right)}^{7} b^{7}} + \frac{11340 \, {\left(b^{16} c^{8} d^{2} - 8 \, a b^{15} c^{7} d^{3} + 28 \, a^{2} b^{14} c^{6} d^{4} - 56 \, a^{3} b^{13} c^{5} d^{5} + 70 \, a^{4} b^{12} c^{4} d^{6} - 56 \, a^{5} b^{11} c^{3} d^{7} + 28 \, a^{6} b^{10} c^{2} d^{8} - 8 \, a^{7} b^{9} c d^{9} + a^{8} b^{8} d^{10}\right)}}{{\left(b x + a\right)}^{8} b^{8}}\right)} {\left(b x + a\right)}^{9}}{252 \, b^{11}} - \frac{10 \, {\left(b^{9} c^{9} d - 9 \, a b^{8} c^{8} d^{2} + 36 \, a^{2} b^{7} c^{7} d^{3} - 84 \, a^{3} b^{6} c^{6} d^{4} + 126 \, a^{4} b^{5} c^{5} d^{5} - 126 \, a^{5} b^{4} c^{4} d^{6} + 84 \, a^{6} b^{3} c^{3} d^{7} - 36 \, a^{7} b^{2} c^{2} d^{8} + 9 \, a^{8} b c d^{9} - a^{9} d^{10}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{11}} - \frac{\frac{b^{19} c^{10}}{b x + a} - \frac{10 \, a b^{18} c^{9} d}{b x + a} + \frac{45 \, a^{2} b^{17} c^{8} d^{2}}{b x + a} - \frac{120 \, a^{3} b^{16} c^{7} d^{3}}{b x + a} + \frac{210 \, a^{4} b^{15} c^{6} d^{4}}{b x + a} - \frac{252 \, a^{5} b^{14} c^{5} d^{5}}{b x + a} + \frac{210 \, a^{6} b^{13} c^{4} d^{6}}{b x + a} - \frac{120 \, a^{7} b^{12} c^{3} d^{7}}{b x + a} + \frac{45 \, a^{8} b^{11} c^{2} d^{8}}{b x + a} - \frac{10 \, a^{9} b^{10} c d^{9}}{b x + a} + \frac{a^{10} b^{9} d^{10}}{b x + a}}{b^{20}}"," ",0,"1/252*(28*d^10 + 315*(b^2*c*d^9 - a*b*d^10)/((b*x + a)*b) + 1620*(b^4*c^2*d^8 - 2*a*b^3*c*d^9 + a^2*b^2*d^10)/((b*x + a)^2*b^2) + 5040*(b^6*c^3*d^7 - 3*a*b^5*c^2*d^8 + 3*a^2*b^4*c*d^9 - a^3*b^3*d^10)/((b*x + a)^3*b^3) + 10584*(b^8*c^4*d^6 - 4*a*b^7*c^3*d^7 + 6*a^2*b^6*c^2*d^8 - 4*a^3*b^5*c*d^9 + a^4*b^4*d^10)/((b*x + a)^4*b^4) + 15876*(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)/((b*x + a)^5*b^5) + 17640*(b^12*c^6*d^4 - 6*a*b^11*c^5*d^5 + 15*a^2*b^10*c^4*d^6 - 20*a^3*b^9*c^3*d^7 + 15*a^4*b^8*c^2*d^8 - 6*a^5*b^7*c*d^9 + a^6*b^6*d^10)/((b*x + a)^6*b^6) + 15120*(b^14*c^7*d^3 - 7*a*b^13*c^6*d^4 + 21*a^2*b^12*c^5*d^5 - 35*a^3*b^11*c^4*d^6 + 35*a^4*b^10*c^3*d^7 - 21*a^5*b^9*c^2*d^8 + 7*a^6*b^8*c*d^9 - a^7*b^7*d^10)/((b*x + a)^7*b^7) + 11340*(b^16*c^8*d^2 - 8*a*b^15*c^7*d^3 + 28*a^2*b^14*c^6*d^4 - 56*a^3*b^13*c^5*d^5 + 70*a^4*b^12*c^4*d^6 - 56*a^5*b^11*c^3*d^7 + 28*a^6*b^10*c^2*d^8 - 8*a^7*b^9*c*d^9 + a^8*b^8*d^10)/((b*x + a)^8*b^8))*(b*x + a)^9/b^11 - 10*(b^9*c^9*d - 9*a*b^8*c^8*d^2 + 36*a^2*b^7*c^7*d^3 - 84*a^3*b^6*c^6*d^4 + 126*a^4*b^5*c^5*d^5 - 126*a^5*b^4*c^4*d^6 + 84*a^6*b^3*c^3*d^7 - 36*a^7*b^2*c^2*d^8 + 9*a^8*b*c*d^9 - a^9*d^10)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^11 - (b^19*c^10/(b*x + a) - 10*a*b^18*c^9*d/(b*x + a) + 45*a^2*b^17*c^8*d^2/(b*x + a) - 120*a^3*b^16*c^7*d^3/(b*x + a) + 210*a^4*b^15*c^6*d^4/(b*x + a) - 252*a^5*b^14*c^5*d^5/(b*x + a) + 210*a^6*b^13*c^4*d^6/(b*x + a) - 120*a^7*b^12*c^3*d^7/(b*x + a) + 45*a^8*b^11*c^2*d^8/(b*x + a) - 10*a^9*b^10*c*d^9/(b*x + a) + a^10*b^9*d^10/(b*x + a))/b^20","B",0
1314,1,924,0,1.251700," ","integrate((d*x+c)^10/(b*x+a)^3,x, algorithm=""giac"")","\frac{45 \, {\left(b^{8} c^{8} d^{2} - 8 \, a b^{7} c^{7} d^{3} + 28 \, a^{2} b^{6} c^{6} d^{4} - 56 \, a^{3} b^{5} c^{5} d^{5} + 70 \, a^{4} b^{4} c^{4} d^{6} - 56 \, a^{5} b^{3} c^{3} d^{7} + 28 \, a^{6} b^{2} c^{2} d^{8} - 8 \, a^{7} b c d^{9} + a^{8} d^{10}\right)} \log\left({\left| b x + a \right|}\right)}{b^{11}} - \frac{b^{10} c^{10} + 10 \, a b^{9} c^{9} d - 135 \, a^{2} b^{8} c^{8} d^{2} + 600 \, a^{3} b^{7} c^{7} d^{3} - 1470 \, a^{4} b^{6} c^{6} d^{4} + 2268 \, a^{5} b^{5} c^{5} d^{5} - 2310 \, a^{6} b^{4} c^{4} d^{6} + 1560 \, a^{7} b^{3} c^{3} d^{7} - 675 \, a^{8} b^{2} c^{2} d^{8} + 170 \, a^{9} b c d^{9} - 19 \, a^{10} d^{10} + 20 \, {\left(b^{10} c^{9} d - 9 \, a b^{9} c^{8} d^{2} + 36 \, a^{2} b^{8} c^{7} d^{3} - 84 \, a^{3} b^{7} c^{6} d^{4} + 126 \, a^{4} b^{6} c^{5} d^{5} - 126 \, a^{5} b^{5} c^{4} d^{6} + 84 \, a^{6} b^{4} c^{3} d^{7} - 36 \, a^{7} b^{3} c^{2} d^{8} + 9 \, a^{8} b^{2} c d^{9} - a^{9} b d^{10}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{11}} + \frac{7 \, b^{21} d^{10} x^{8} + 80 \, b^{21} c d^{9} x^{7} - 24 \, a b^{20} d^{10} x^{7} + 420 \, b^{21} c^{2} d^{8} x^{6} - 280 \, a b^{20} c d^{9} x^{6} + 56 \, a^{2} b^{19} d^{10} x^{6} + 1344 \, b^{21} c^{3} d^{7} x^{5} - 1512 \, a b^{20} c^{2} d^{8} x^{5} + 672 \, a^{2} b^{19} c d^{9} x^{5} - 112 \, a^{3} b^{18} d^{10} x^{5} + 2940 \, b^{21} c^{4} d^{6} x^{4} - 5040 \, a b^{20} c^{3} d^{7} x^{4} + 3780 \, a^{2} b^{19} c^{2} d^{8} x^{4} - 1400 \, a^{3} b^{18} c d^{9} x^{4} + 210 \, a^{4} b^{17} d^{10} x^{4} + 4704 \, b^{21} c^{5} d^{5} x^{3} - 11760 \, a b^{20} c^{4} d^{6} x^{3} + 13440 \, a^{2} b^{19} c^{3} d^{7} x^{3} - 8400 \, a^{3} b^{18} c^{2} d^{8} x^{3} + 2800 \, a^{4} b^{17} c d^{9} x^{3} - 392 \, a^{5} b^{16} d^{10} x^{3} + 5880 \, b^{21} c^{6} d^{4} x^{2} - 21168 \, a b^{20} c^{5} d^{5} x^{2} + 35280 \, a^{2} b^{19} c^{4} d^{6} x^{2} - 33600 \, a^{3} b^{18} c^{3} d^{7} x^{2} + 18900 \, a^{4} b^{17} c^{2} d^{8} x^{2} - 5880 \, a^{5} b^{16} c d^{9} x^{2} + 784 \, a^{6} b^{15} d^{10} x^{2} + 6720 \, b^{21} c^{7} d^{3} x - 35280 \, a b^{20} c^{6} d^{4} x + 84672 \, a^{2} b^{19} c^{5} d^{5} x - 117600 \, a^{3} b^{18} c^{4} d^{6} x + 100800 \, a^{4} b^{17} c^{3} d^{7} x - 52920 \, a^{5} b^{16} c^{2} d^{8} x + 15680 \, a^{6} b^{15} c d^{9} x - 2016 \, a^{7} b^{14} d^{10} x}{56 \, b^{24}}"," ",0,"45*(b^8*c^8*d^2 - 8*a*b^7*c^7*d^3 + 28*a^2*b^6*c^6*d^4 - 56*a^3*b^5*c^5*d^5 + 70*a^4*b^4*c^4*d^6 - 56*a^5*b^3*c^3*d^7 + 28*a^6*b^2*c^2*d^8 - 8*a^7*b*c*d^9 + a^8*d^10)*log(abs(b*x + a))/b^11 - 1/2*(b^10*c^10 + 10*a*b^9*c^9*d - 135*a^2*b^8*c^8*d^2 + 600*a^3*b^7*c^7*d^3 - 1470*a^4*b^6*c^6*d^4 + 2268*a^5*b^5*c^5*d^5 - 2310*a^6*b^4*c^4*d^6 + 1560*a^7*b^3*c^3*d^7 - 675*a^8*b^2*c^2*d^8 + 170*a^9*b*c*d^9 - 19*a^10*d^10 + 20*(b^10*c^9*d - 9*a*b^9*c^8*d^2 + 36*a^2*b^8*c^7*d^3 - 84*a^3*b^7*c^6*d^4 + 126*a^4*b^6*c^5*d^5 - 126*a^5*b^5*c^4*d^6 + 84*a^6*b^4*c^3*d^7 - 36*a^7*b^3*c^2*d^8 + 9*a^8*b^2*c*d^9 - a^9*b*d^10)*x)/((b*x + a)^2*b^11) + 1/56*(7*b^21*d^10*x^8 + 80*b^21*c*d^9*x^7 - 24*a*b^20*d^10*x^7 + 420*b^21*c^2*d^8*x^6 - 280*a*b^20*c*d^9*x^6 + 56*a^2*b^19*d^10*x^6 + 1344*b^21*c^3*d^7*x^5 - 1512*a*b^20*c^2*d^8*x^5 + 672*a^2*b^19*c*d^9*x^5 - 112*a^3*b^18*d^10*x^5 + 2940*b^21*c^4*d^6*x^4 - 5040*a*b^20*c^3*d^7*x^4 + 3780*a^2*b^19*c^2*d^8*x^4 - 1400*a^3*b^18*c*d^9*x^4 + 210*a^4*b^17*d^10*x^4 + 4704*b^21*c^5*d^5*x^3 - 11760*a*b^20*c^4*d^6*x^3 + 13440*a^2*b^19*c^3*d^7*x^3 - 8400*a^3*b^18*c^2*d^8*x^3 + 2800*a^4*b^17*c*d^9*x^3 - 392*a^5*b^16*d^10*x^3 + 5880*b^21*c^6*d^4*x^2 - 21168*a*b^20*c^5*d^5*x^2 + 35280*a^2*b^19*c^4*d^6*x^2 - 33600*a^3*b^18*c^3*d^7*x^2 + 18900*a^4*b^17*c^2*d^8*x^2 - 5880*a^5*b^16*c*d^9*x^2 + 784*a^6*b^15*d^10*x^2 + 6720*b^21*c^7*d^3*x - 35280*a*b^20*c^6*d^4*x + 84672*a^2*b^19*c^5*d^5*x - 117600*a^3*b^18*c^4*d^6*x + 100800*a^4*b^17*c^3*d^7*x - 52920*a^5*b^16*c^2*d^8*x + 15680*a^6*b^15*c*d^9*x - 2016*a^7*b^14*d^10*x)/b^24","B",0
1315,1,907,0,1.261236," ","integrate((d*x+c)^10/(b*x+a)^4,x, algorithm=""giac"")","\frac{120 \, {\left(b^{7} c^{7} d^{3} - 7 \, a b^{6} c^{6} d^{4} + 21 \, a^{2} b^{5} c^{5} d^{5} - 35 \, a^{3} b^{4} c^{4} d^{6} + 35 \, a^{4} b^{3} c^{3} d^{7} - 21 \, a^{5} b^{2} c^{2} d^{8} + 7 \, a^{6} b c d^{9} - a^{7} d^{10}\right)} \log\left({\left| b x + a \right|}\right)}{b^{11}} - \frac{b^{10} c^{10} + 5 \, a b^{9} c^{9} d + 45 \, a^{2} b^{8} c^{8} d^{2} - 660 \, a^{3} b^{7} c^{7} d^{3} + 2730 \, a^{4} b^{6} c^{6} d^{4} - 5922 \, a^{5} b^{5} c^{5} d^{5} + 7770 \, a^{6} b^{4} c^{4} d^{6} - 6420 \, a^{7} b^{3} c^{3} d^{7} + 3285 \, a^{8} b^{2} c^{2} d^{8} - 955 \, a^{9} b c d^{9} + 121 \, a^{10} d^{10} + 135 \, {\left(b^{10} c^{8} d^{2} - 8 \, a b^{9} c^{7} d^{3} + 28 \, a^{2} b^{8} c^{6} d^{4} - 56 \, a^{3} b^{7} c^{5} d^{5} + 70 \, a^{4} b^{6} c^{4} d^{6} - 56 \, a^{5} b^{5} c^{3} d^{7} + 28 \, a^{6} b^{4} c^{2} d^{8} - 8 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} x^{2} + 15 \, {\left(b^{10} c^{9} d + 9 \, a b^{9} c^{8} d^{2} - 108 \, a^{2} b^{8} c^{7} d^{3} + 420 \, a^{3} b^{7} c^{6} d^{4} - 882 \, a^{4} b^{6} c^{5} d^{5} + 1134 \, a^{5} b^{5} c^{4} d^{6} - 924 \, a^{6} b^{4} c^{3} d^{7} + 468 \, a^{7} b^{3} c^{2} d^{8} - 135 \, a^{8} b^{2} c d^{9} + 17 \, a^{9} b d^{10}\right)} x}{3 \, {\left(b x + a\right)}^{3} b^{11}} + \frac{3 \, b^{24} d^{10} x^{7} + 35 \, b^{24} c d^{9} x^{6} - 14 \, a b^{23} d^{10} x^{6} + 189 \, b^{24} c^{2} d^{8} x^{5} - 168 \, a b^{23} c d^{9} x^{5} + 42 \, a^{2} b^{22} d^{10} x^{5} + 630 \, b^{24} c^{3} d^{7} x^{4} - 945 \, a b^{23} c^{2} d^{8} x^{4} + 525 \, a^{2} b^{22} c d^{9} x^{4} - 105 \, a^{3} b^{21} d^{10} x^{4} + 1470 \, b^{24} c^{4} d^{6} x^{3} - 3360 \, a b^{23} c^{3} d^{7} x^{3} + 3150 \, a^{2} b^{22} c^{2} d^{8} x^{3} - 1400 \, a^{3} b^{21} c d^{9} x^{3} + 245 \, a^{4} b^{20} d^{10} x^{3} + 2646 \, b^{24} c^{5} d^{5} x^{2} - 8820 \, a b^{23} c^{4} d^{6} x^{2} + 12600 \, a^{2} b^{22} c^{3} d^{7} x^{2} - 9450 \, a^{3} b^{21} c^{2} d^{8} x^{2} + 3675 \, a^{4} b^{20} c d^{9} x^{2} - 588 \, a^{5} b^{19} d^{10} x^{2} + 4410 \, b^{24} c^{6} d^{4} x - 21168 \, a b^{23} c^{5} d^{5} x + 44100 \, a^{2} b^{22} c^{4} d^{6} x - 50400 \, a^{3} b^{21} c^{3} d^{7} x + 33075 \, a^{4} b^{20} c^{2} d^{8} x - 11760 \, a^{5} b^{19} c d^{9} x + 1764 \, a^{6} b^{18} d^{10} x}{21 \, b^{28}}"," ",0,"120*(b^7*c^7*d^3 - 7*a*b^6*c^6*d^4 + 21*a^2*b^5*c^5*d^5 - 35*a^3*b^4*c^4*d^6 + 35*a^4*b^3*c^3*d^7 - 21*a^5*b^2*c^2*d^8 + 7*a^6*b*c*d^9 - a^7*d^10)*log(abs(b*x + a))/b^11 - 1/3*(b^10*c^10 + 5*a*b^9*c^9*d + 45*a^2*b^8*c^8*d^2 - 660*a^3*b^7*c^7*d^3 + 2730*a^4*b^6*c^6*d^4 - 5922*a^5*b^5*c^5*d^5 + 7770*a^6*b^4*c^4*d^6 - 6420*a^7*b^3*c^3*d^7 + 3285*a^8*b^2*c^2*d^8 - 955*a^9*b*c*d^9 + 121*a^10*d^10 + 135*(b^10*c^8*d^2 - 8*a*b^9*c^7*d^3 + 28*a^2*b^8*c^6*d^4 - 56*a^3*b^7*c^5*d^5 + 70*a^4*b^6*c^4*d^6 - 56*a^5*b^5*c^3*d^7 + 28*a^6*b^4*c^2*d^8 - 8*a^7*b^3*c*d^9 + a^8*b^2*d^10)*x^2 + 15*(b^10*c^9*d + 9*a*b^9*c^8*d^2 - 108*a^2*b^8*c^7*d^3 + 420*a^3*b^7*c^6*d^4 - 882*a^4*b^6*c^5*d^5 + 1134*a^5*b^5*c^4*d^6 - 924*a^6*b^4*c^3*d^7 + 468*a^7*b^3*c^2*d^8 - 135*a^8*b^2*c*d^9 + 17*a^9*b*d^10)*x)/((b*x + a)^3*b^11) + 1/21*(3*b^24*d^10*x^7 + 35*b^24*c*d^9*x^6 - 14*a*b^23*d^10*x^6 + 189*b^24*c^2*d^8*x^5 - 168*a*b^23*c*d^9*x^5 + 42*a^2*b^22*d^10*x^5 + 630*b^24*c^3*d^7*x^4 - 945*a*b^23*c^2*d^8*x^4 + 525*a^2*b^22*c*d^9*x^4 - 105*a^3*b^21*d^10*x^4 + 1470*b^24*c^4*d^6*x^3 - 3360*a*b^23*c^3*d^7*x^3 + 3150*a^2*b^22*c^2*d^8*x^3 - 1400*a^3*b^21*c*d^9*x^3 + 245*a^4*b^20*d^10*x^3 + 2646*b^24*c^5*d^5*x^2 - 8820*a*b^23*c^4*d^6*x^2 + 12600*a^2*b^22*c^3*d^7*x^2 - 9450*a^3*b^21*c^2*d^8*x^2 + 3675*a^4*b^20*c*d^9*x^2 - 588*a^5*b^19*d^10*x^2 + 4410*b^24*c^6*d^4*x - 21168*a*b^23*c^5*d^5*x + 44100*a^2*b^22*c^4*d^6*x - 50400*a^3*b^21*c^3*d^7*x + 33075*a^4*b^20*c^2*d^8*x - 11760*a^5*b^19*c*d^9*x + 1764*a^6*b^18*d^10*x)/b^28","B",0
1316,1,1168,0,1.379184," ","integrate((d*x+c)^10/(b*x+a)^5,x, algorithm=""giac"")","\frac{{\left(2 \, d^{10} + \frac{24 \, {\left(b^{2} c d^{9} - a b d^{10}\right)}}{{\left(b x + a\right)} b} + \frac{135 \, {\left(b^{4} c^{2} d^{8} - 2 \, a b^{3} c d^{9} + a^{2} b^{2} d^{10}\right)}}{{\left(b x + a\right)}^{2} b^{2}} + \frac{480 \, {\left(b^{6} c^{3} d^{7} - 3 \, a b^{5} c^{2} d^{8} + 3 \, a^{2} b^{4} c d^{9} - a^{3} b^{3} d^{10}\right)}}{{\left(b x + a\right)}^{3} b^{3}} + \frac{1260 \, {\left(b^{8} c^{4} d^{6} - 4 \, a b^{7} c^{3} d^{7} + 6 \, a^{2} b^{6} c^{2} d^{8} - 4 \, a^{3} b^{5} c d^{9} + a^{4} b^{4} d^{10}\right)}}{{\left(b x + a\right)}^{4} b^{4}} + \frac{3024 \, {\left(b^{10} c^{5} d^{5} - 5 \, a b^{9} c^{4} d^{6} + 10 \, a^{2} b^{8} c^{3} d^{7} - 10 \, a^{3} b^{7} c^{2} d^{8} + 5 \, a^{4} b^{6} c d^{9} - a^{5} b^{5} d^{10}\right)}}{{\left(b x + a\right)}^{5} b^{5}}\right)} {\left(b x + a\right)}^{6}}{12 \, b^{11}} - \frac{210 \, {\left(b^{6} c^{6} d^{4} - 6 \, a b^{5} c^{5} d^{5} + 15 \, a^{2} b^{4} c^{4} d^{6} - 20 \, a^{3} b^{3} c^{3} d^{7} + 15 \, a^{4} b^{2} c^{2} d^{8} - 6 \, a^{5} b c d^{9} + a^{6} d^{10}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{11}} - \frac{\frac{3 \, b^{67} c^{10}}{{\left(b x + a\right)}^{4}} + \frac{40 \, b^{66} c^{9} d}{{\left(b x + a\right)}^{3}} - \frac{30 \, a b^{66} c^{9} d}{{\left(b x + a\right)}^{4}} + \frac{270 \, b^{65} c^{8} d^{2}}{{\left(b x + a\right)}^{2}} - \frac{360 \, a b^{65} c^{8} d^{2}}{{\left(b x + a\right)}^{3}} + \frac{135 \, a^{2} b^{65} c^{8} d^{2}}{{\left(b x + a\right)}^{4}} + \frac{1440 \, b^{64} c^{7} d^{3}}{b x + a} - \frac{2160 \, a b^{64} c^{7} d^{3}}{{\left(b x + a\right)}^{2}} + \frac{1440 \, a^{2} b^{64} c^{7} d^{3}}{{\left(b x + a\right)}^{3}} - \frac{360 \, a^{3} b^{64} c^{7} d^{3}}{{\left(b x + a\right)}^{4}} - \frac{10080 \, a b^{63} c^{6} d^{4}}{b x + a} + \frac{7560 \, a^{2} b^{63} c^{6} d^{4}}{{\left(b x + a\right)}^{2}} - \frac{3360 \, a^{3} b^{63} c^{6} d^{4}}{{\left(b x + a\right)}^{3}} + \frac{630 \, a^{4} b^{63} c^{6} d^{4}}{{\left(b x + a\right)}^{4}} + \frac{30240 \, a^{2} b^{62} c^{5} d^{5}}{b x + a} - \frac{15120 \, a^{3} b^{62} c^{5} d^{5}}{{\left(b x + a\right)}^{2}} + \frac{5040 \, a^{4} b^{62} c^{5} d^{5}}{{\left(b x + a\right)}^{3}} - \frac{756 \, a^{5} b^{62} c^{5} d^{5}}{{\left(b x + a\right)}^{4}} - \frac{50400 \, a^{3} b^{61} c^{4} d^{6}}{b x + a} + \frac{18900 \, a^{4} b^{61} c^{4} d^{6}}{{\left(b x + a\right)}^{2}} - \frac{5040 \, a^{5} b^{61} c^{4} d^{6}}{{\left(b x + a\right)}^{3}} + \frac{630 \, a^{6} b^{61} c^{4} d^{6}}{{\left(b x + a\right)}^{4}} + \frac{50400 \, a^{4} b^{60} c^{3} d^{7}}{b x + a} - \frac{15120 \, a^{5} b^{60} c^{3} d^{7}}{{\left(b x + a\right)}^{2}} + \frac{3360 \, a^{6} b^{60} c^{3} d^{7}}{{\left(b x + a\right)}^{3}} - \frac{360 \, a^{7} b^{60} c^{3} d^{7}}{{\left(b x + a\right)}^{4}} - \frac{30240 \, a^{5} b^{59} c^{2} d^{8}}{b x + a} + \frac{7560 \, a^{6} b^{59} c^{2} d^{8}}{{\left(b x + a\right)}^{2}} - \frac{1440 \, a^{7} b^{59} c^{2} d^{8}}{{\left(b x + a\right)}^{3}} + \frac{135 \, a^{8} b^{59} c^{2} d^{8}}{{\left(b x + a\right)}^{4}} + \frac{10080 \, a^{6} b^{58} c d^{9}}{b x + a} - \frac{2160 \, a^{7} b^{58} c d^{9}}{{\left(b x + a\right)}^{2}} + \frac{360 \, a^{8} b^{58} c d^{9}}{{\left(b x + a\right)}^{3}} - \frac{30 \, a^{9} b^{58} c d^{9}}{{\left(b x + a\right)}^{4}} - \frac{1440 \, a^{7} b^{57} d^{10}}{b x + a} + \frac{270 \, a^{8} b^{57} d^{10}}{{\left(b x + a\right)}^{2}} - \frac{40 \, a^{9} b^{57} d^{10}}{{\left(b x + a\right)}^{3}} + \frac{3 \, a^{10} b^{57} d^{10}}{{\left(b x + a\right)}^{4}}}{12 \, b^{68}}"," ",0,"1/12*(2*d^10 + 24*(b^2*c*d^9 - a*b*d^10)/((b*x + a)*b) + 135*(b^4*c^2*d^8 - 2*a*b^3*c*d^9 + a^2*b^2*d^10)/((b*x + a)^2*b^2) + 480*(b^6*c^3*d^7 - 3*a*b^5*c^2*d^8 + 3*a^2*b^4*c*d^9 - a^3*b^3*d^10)/((b*x + a)^3*b^3) + 1260*(b^8*c^4*d^6 - 4*a*b^7*c^3*d^7 + 6*a^2*b^6*c^2*d^8 - 4*a^3*b^5*c*d^9 + a^4*b^4*d^10)/((b*x + a)^4*b^4) + 3024*(b^10*c^5*d^5 - 5*a*b^9*c^4*d^6 + 10*a^2*b^8*c^3*d^7 - 10*a^3*b^7*c^2*d^8 + 5*a^4*b^6*c*d^9 - a^5*b^5*d^10)/((b*x + a)^5*b^5))*(b*x + a)^6/b^11 - 210*(b^6*c^6*d^4 - 6*a*b^5*c^5*d^5 + 15*a^2*b^4*c^4*d^6 - 20*a^3*b^3*c^3*d^7 + 15*a^4*b^2*c^2*d^8 - 6*a^5*b*c*d^9 + a^6*d^10)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^11 - 1/12*(3*b^67*c^10/(b*x + a)^4 + 40*b^66*c^9*d/(b*x + a)^3 - 30*a*b^66*c^9*d/(b*x + a)^4 + 270*b^65*c^8*d^2/(b*x + a)^2 - 360*a*b^65*c^8*d^2/(b*x + a)^3 + 135*a^2*b^65*c^8*d^2/(b*x + a)^4 + 1440*b^64*c^7*d^3/(b*x + a) - 2160*a*b^64*c^7*d^3/(b*x + a)^2 + 1440*a^2*b^64*c^7*d^3/(b*x + a)^3 - 360*a^3*b^64*c^7*d^3/(b*x + a)^4 - 10080*a*b^63*c^6*d^4/(b*x + a) + 7560*a^2*b^63*c^6*d^4/(b*x + a)^2 - 3360*a^3*b^63*c^6*d^4/(b*x + a)^3 + 630*a^4*b^63*c^6*d^4/(b*x + a)^4 + 30240*a^2*b^62*c^5*d^5/(b*x + a) - 15120*a^3*b^62*c^5*d^5/(b*x + a)^2 + 5040*a^4*b^62*c^5*d^5/(b*x + a)^3 - 756*a^5*b^62*c^5*d^5/(b*x + a)^4 - 50400*a^3*b^61*c^4*d^6/(b*x + a) + 18900*a^4*b^61*c^4*d^6/(b*x + a)^2 - 5040*a^5*b^61*c^4*d^6/(b*x + a)^3 + 630*a^6*b^61*c^4*d^6/(b*x + a)^4 + 50400*a^4*b^60*c^3*d^7/(b*x + a) - 15120*a^5*b^60*c^3*d^7/(b*x + a)^2 + 3360*a^6*b^60*c^3*d^7/(b*x + a)^3 - 360*a^7*b^60*c^3*d^7/(b*x + a)^4 - 30240*a^5*b^59*c^2*d^8/(b*x + a) + 7560*a^6*b^59*c^2*d^8/(b*x + a)^2 - 1440*a^7*b^59*c^2*d^8/(b*x + a)^3 + 135*a^8*b^59*c^2*d^8/(b*x + a)^4 + 10080*a^6*b^58*c*d^9/(b*x + a) - 2160*a^7*b^58*c*d^9/(b*x + a)^2 + 360*a^8*b^58*c*d^9/(b*x + a)^3 - 30*a^9*b^58*c*d^9/(b*x + a)^4 - 1440*a^7*b^57*d^10/(b*x + a) + 270*a^8*b^57*d^10/(b*x + a)^2 - 40*a^9*b^57*d^10/(b*x + a)^3 + 3*a^10*b^57*d^10/(b*x + a)^4)/b^68","B",0
1317,1,883,0,1.338914," ","integrate((d*x+c)^10/(b*x+a)^6,x, algorithm=""giac"")","\frac{252 \, {\left(b^{5} c^{5} d^{5} - 5 \, a b^{4} c^{4} d^{6} + 10 \, a^{2} b^{3} c^{3} d^{7} - 10 \, a^{3} b^{2} c^{2} d^{8} + 5 \, a^{4} b c d^{9} - a^{5} d^{10}\right)} \log\left({\left| b x + a \right|}\right)}{b^{11}} - \frac{2 \, b^{10} c^{10} + 5 \, a b^{9} c^{9} d + 15 \, a^{2} b^{8} c^{8} d^{2} + 60 \, a^{3} b^{7} c^{7} d^{3} + 420 \, a^{4} b^{6} c^{6} d^{4} - 5754 \, a^{5} b^{5} c^{5} d^{5} + 18270 \, a^{6} b^{4} c^{4} d^{6} - 27540 \, a^{7} b^{3} c^{3} d^{7} + 22290 \, a^{8} b^{2} c^{2} d^{8} - 9395 \, a^{9} b c d^{9} + 1627 \, a^{10} d^{10} + 2100 \, {\left(b^{10} c^{6} d^{4} - 6 \, a b^{9} c^{5} d^{5} + 15 \, a^{2} b^{8} c^{4} d^{6} - 20 \, a^{3} b^{7} c^{3} d^{7} + 15 \, a^{4} b^{6} c^{2} d^{8} - 6 \, a^{5} b^{5} c d^{9} + a^{6} b^{4} d^{10}\right)} x^{4} + 600 \, {\left(b^{10} c^{7} d^{3} + 7 \, a b^{9} c^{6} d^{4} - 63 \, a^{2} b^{8} c^{5} d^{5} + 175 \, a^{3} b^{7} c^{4} d^{6} - 245 \, a^{4} b^{6} c^{3} d^{7} + 189 \, a^{5} b^{5} c^{2} d^{8} - 77 \, a^{6} b^{4} c d^{9} + 13 \, a^{7} b^{3} d^{10}\right)} x^{3} + 150 \, {\left(b^{10} c^{8} d^{2} + 4 \, a b^{9} c^{7} d^{3} + 28 \, a^{2} b^{8} c^{6} d^{4} - 308 \, a^{3} b^{7} c^{5} d^{5} + 910 \, a^{4} b^{6} c^{4} d^{6} - 1316 \, a^{5} b^{5} c^{3} d^{7} + 1036 \, a^{6} b^{4} c^{2} d^{8} - 428 \, a^{7} b^{3} c d^{9} + 73 \, a^{8} b^{2} d^{10}\right)} x^{2} + 25 \, {\left(b^{10} c^{9} d + 3 \, a b^{9} c^{8} d^{2} + 12 \, a^{2} b^{8} c^{7} d^{3} + 84 \, a^{3} b^{7} c^{6} d^{4} - 1050 \, a^{4} b^{6} c^{5} d^{5} + 3234 \, a^{5} b^{5} c^{4} d^{6} - 4788 \, a^{6} b^{4} c^{3} d^{7} + 3828 \, a^{7} b^{3} c^{2} d^{8} - 1599 \, a^{8} b^{2} c d^{9} + 275 \, a^{9} b d^{10}\right)} x}{10 \, {\left(b x + a\right)}^{5} b^{11}} + \frac{2 \, b^{24} d^{10} x^{5} + 25 \, b^{24} c d^{9} x^{4} - 15 \, a b^{23} d^{10} x^{4} + 150 \, b^{24} c^{2} d^{8} x^{3} - 200 \, a b^{23} c d^{9} x^{3} + 70 \, a^{2} b^{22} d^{10} x^{3} + 600 \, b^{24} c^{3} d^{7} x^{2} - 1350 \, a b^{23} c^{2} d^{8} x^{2} + 1050 \, a^{2} b^{22} c d^{9} x^{2} - 280 \, a^{3} b^{21} d^{10} x^{2} + 2100 \, b^{24} c^{4} d^{6} x - 7200 \, a b^{23} c^{3} d^{7} x + 9450 \, a^{2} b^{22} c^{2} d^{8} x - 5600 \, a^{3} b^{21} c d^{9} x + 1260 \, a^{4} b^{20} d^{10} x}{10 \, b^{30}}"," ",0,"252*(b^5*c^5*d^5 - 5*a*b^4*c^4*d^6 + 10*a^2*b^3*c^3*d^7 - 10*a^3*b^2*c^2*d^8 + 5*a^4*b*c*d^9 - a^5*d^10)*log(abs(b*x + a))/b^11 - 1/10*(2*b^10*c^10 + 5*a*b^9*c^9*d + 15*a^2*b^8*c^8*d^2 + 60*a^3*b^7*c^7*d^3 + 420*a^4*b^6*c^6*d^4 - 5754*a^5*b^5*c^5*d^5 + 18270*a^6*b^4*c^4*d^6 - 27540*a^7*b^3*c^3*d^7 + 22290*a^8*b^2*c^2*d^8 - 9395*a^9*b*c*d^9 + 1627*a^10*d^10 + 2100*(b^10*c^6*d^4 - 6*a*b^9*c^5*d^5 + 15*a^2*b^8*c^4*d^6 - 20*a^3*b^7*c^3*d^7 + 15*a^4*b^6*c^2*d^8 - 6*a^5*b^5*c*d^9 + a^6*b^4*d^10)*x^4 + 600*(b^10*c^7*d^3 + 7*a*b^9*c^6*d^4 - 63*a^2*b^8*c^5*d^5 + 175*a^3*b^7*c^4*d^6 - 245*a^4*b^6*c^3*d^7 + 189*a^5*b^5*c^2*d^8 - 77*a^6*b^4*c*d^9 + 13*a^7*b^3*d^10)*x^3 + 150*(b^10*c^8*d^2 + 4*a*b^9*c^7*d^3 + 28*a^2*b^8*c^6*d^4 - 308*a^3*b^7*c^5*d^5 + 910*a^4*b^6*c^4*d^6 - 1316*a^5*b^5*c^3*d^7 + 1036*a^6*b^4*c^2*d^8 - 428*a^7*b^3*c*d^9 + 73*a^8*b^2*d^10)*x^2 + 25*(b^10*c^9*d + 3*a*b^9*c^8*d^2 + 12*a^2*b^8*c^7*d^3 + 84*a^3*b^7*c^6*d^4 - 1050*a^4*b^6*c^5*d^5 + 3234*a^5*b^5*c^4*d^6 - 4788*a^6*b^4*c^3*d^7 + 3828*a^7*b^3*c^2*d^8 - 1599*a^8*b^2*c*d^9 + 275*a^9*b*d^10)*x)/((b*x + a)^5*b^11) + 1/10*(2*b^24*d^10*x^5 + 25*b^24*c*d^9*x^4 - 15*a*b^23*d^10*x^4 + 150*b^24*c^2*d^8*x^3 - 200*a*b^23*c*d^9*x^3 + 70*a^2*b^22*d^10*x^3 + 600*b^24*c^3*d^7*x^2 - 1350*a*b^23*c^2*d^8*x^2 + 1050*a^2*b^22*c*d^9*x^2 - 280*a^3*b^21*d^10*x^2 + 2100*b^24*c^4*d^6*x - 7200*a*b^23*c^3*d^7*x + 9450*a^2*b^22*c^2*d^8*x - 5600*a^3*b^21*c*d^9*x + 1260*a^4*b^20*d^10*x)/b^30","B",0
1318,1,878,0,1.290488," ","integrate((d*x+c)^10/(b*x+a)^7,x, algorithm=""giac"")","\frac{210 \, {\left(b^{4} c^{4} d^{6} - 4 \, a b^{3} c^{3} d^{7} + 6 \, a^{2} b^{2} c^{2} d^{8} - 4 \, a^{3} b c d^{9} + a^{4} d^{10}\right)} \log\left({\left| b x + a \right|}\right)}{b^{11}} - \frac{2 \, b^{10} c^{10} + 4 \, a b^{9} c^{9} d + 9 \, a^{2} b^{8} c^{8} d^{2} + 24 \, a^{3} b^{7} c^{7} d^{3} + 84 \, a^{4} b^{6} c^{6} d^{4} + 504 \, a^{5} b^{5} c^{5} d^{5} - 6174 \, a^{6} b^{4} c^{4} d^{6} + 16056 \, a^{7} b^{3} c^{3} d^{7} - 18414 \, a^{8} b^{2} c^{2} d^{8} + 10036 \, a^{9} b c d^{9} - 2131 \, a^{10} d^{10} + 3024 \, {\left(b^{10} c^{5} d^{5} - 5 \, a b^{9} c^{4} d^{6} + 10 \, a^{2} b^{8} c^{3} d^{7} - 10 \, a^{3} b^{7} c^{2} d^{8} + 5 \, a^{4} b^{6} c d^{9} - a^{5} b^{5} d^{10}\right)} x^{5} + 1260 \, {\left(b^{10} c^{6} d^{4} + 6 \, a b^{9} c^{5} d^{5} - 45 \, a^{2} b^{8} c^{4} d^{6} + 100 \, a^{3} b^{7} c^{3} d^{7} - 105 \, a^{4} b^{6} c^{2} d^{8} + 54 \, a^{5} b^{5} c d^{9} - 11 \, a^{6} b^{4} d^{10}\right)} x^{4} + 240 \, {\left(2 \, b^{10} c^{7} d^{3} + 7 \, a b^{9} c^{6} d^{4} + 42 \, a^{2} b^{8} c^{5} d^{5} - 385 \, a^{3} b^{7} c^{4} d^{6} + 910 \, a^{4} b^{6} c^{3} d^{7} - 987 \, a^{5} b^{5} c^{2} d^{8} + 518 \, a^{6} b^{4} c d^{9} - 107 \, a^{7} b^{3} d^{10}\right)} x^{3} + 45 \, {\left(3 \, b^{10} c^{8} d^{2} + 8 \, a b^{9} c^{7} d^{3} + 28 \, a^{2} b^{8} c^{6} d^{4} + 168 \, a^{3} b^{7} c^{5} d^{5} - 1750 \, a^{4} b^{6} c^{4} d^{6} + 4312 \, a^{5} b^{5} c^{3} d^{7} - 4788 \, a^{6} b^{4} c^{2} d^{8} + 2552 \, a^{7} b^{3} c d^{9} - 533 \, a^{8} b^{2} d^{10}\right)} x^{2} + 6 \, {\left(4 \, b^{10} c^{9} d + 9 \, a b^{9} c^{8} d^{2} + 24 \, a^{2} b^{8} c^{7} d^{3} + 84 \, a^{3} b^{7} c^{6} d^{4} + 504 \, a^{4} b^{6} c^{5} d^{5} - 5754 \, a^{5} b^{5} c^{4} d^{6} + 14616 \, a^{6} b^{4} c^{3} d^{7} - 16524 \, a^{7} b^{3} c^{2} d^{8} + 8916 \, a^{8} b^{2} c d^{9} - 1879 \, a^{9} b d^{10}\right)} x}{12 \, {\left(b x + a\right)}^{6} b^{11}} + \frac{3 \, b^{21} d^{10} x^{4} + 40 \, b^{21} c d^{9} x^{3} - 28 \, a b^{20} d^{10} x^{3} + 270 \, b^{21} c^{2} d^{8} x^{2} - 420 \, a b^{20} c d^{9} x^{2} + 168 \, a^{2} b^{19} d^{10} x^{2} + 1440 \, b^{21} c^{3} d^{7} x - 3780 \, a b^{20} c^{2} d^{8} x + 3360 \, a^{2} b^{19} c d^{9} x - 1008 \, a^{3} b^{18} d^{10} x}{12 \, b^{28}}"," ",0,"210*(b^4*c^4*d^6 - 4*a*b^3*c^3*d^7 + 6*a^2*b^2*c^2*d^8 - 4*a^3*b*c*d^9 + a^4*d^10)*log(abs(b*x + a))/b^11 - 1/12*(2*b^10*c^10 + 4*a*b^9*c^9*d + 9*a^2*b^8*c^8*d^2 + 24*a^3*b^7*c^7*d^3 + 84*a^4*b^6*c^6*d^4 + 504*a^5*b^5*c^5*d^5 - 6174*a^6*b^4*c^4*d^6 + 16056*a^7*b^3*c^3*d^7 - 18414*a^8*b^2*c^2*d^8 + 10036*a^9*b*c*d^9 - 2131*a^10*d^10 + 3024*(b^10*c^5*d^5 - 5*a*b^9*c^4*d^6 + 10*a^2*b^8*c^3*d^7 - 10*a^3*b^7*c^2*d^8 + 5*a^4*b^6*c*d^9 - a^5*b^5*d^10)*x^5 + 1260*(b^10*c^6*d^4 + 6*a*b^9*c^5*d^5 - 45*a^2*b^8*c^4*d^6 + 100*a^3*b^7*c^3*d^7 - 105*a^4*b^6*c^2*d^8 + 54*a^5*b^5*c*d^9 - 11*a^6*b^4*d^10)*x^4 + 240*(2*b^10*c^7*d^3 + 7*a*b^9*c^6*d^4 + 42*a^2*b^8*c^5*d^5 - 385*a^3*b^7*c^4*d^6 + 910*a^4*b^6*c^3*d^7 - 987*a^5*b^5*c^2*d^8 + 518*a^6*b^4*c*d^9 - 107*a^7*b^3*d^10)*x^3 + 45*(3*b^10*c^8*d^2 + 8*a*b^9*c^7*d^3 + 28*a^2*b^8*c^6*d^4 + 168*a^3*b^7*c^5*d^5 - 1750*a^4*b^6*c^4*d^6 + 4312*a^5*b^5*c^3*d^7 - 4788*a^6*b^4*c^2*d^8 + 2552*a^7*b^3*c*d^9 - 533*a^8*b^2*d^10)*x^2 + 6*(4*b^10*c^9*d + 9*a*b^9*c^8*d^2 + 24*a^2*b^8*c^7*d^3 + 84*a^3*b^7*c^6*d^4 + 504*a^4*b^6*c^5*d^5 - 5754*a^5*b^5*c^4*d^6 + 14616*a^6*b^4*c^3*d^7 - 16524*a^7*b^3*c^2*d^8 + 8916*a^8*b^2*c*d^9 - 1879*a^9*b*d^10)*x)/((b*x + a)^6*b^11) + 1/12*(3*b^21*d^10*x^4 + 40*b^21*c*d^9*x^3 - 28*a*b^20*d^10*x^3 + 270*b^21*c^2*d^8*x^2 - 420*a*b^20*c*d^9*x^2 + 168*a^2*b^19*d^10*x^2 + 1440*b^21*c^3*d^7*x - 3780*a*b^20*c^2*d^8*x + 3360*a^2*b^19*c*d^9*x - 1008*a^3*b^18*d^10*x)/b^28","B",0
1319,1,872,0,1.258216," ","integrate((d*x+c)^10/(b*x+a)^8,x, algorithm=""giac"")","\frac{120 \, {\left(b^{3} c^{3} d^{7} - 3 \, a b^{2} c^{2} d^{8} + 3 \, a^{2} b c d^{9} - a^{3} d^{10}\right)} \log\left({\left| b x + a \right|}\right)}{b^{11}} - \frac{3 \, b^{10} c^{10} + 5 \, a b^{9} c^{9} d + 9 \, a^{2} b^{8} c^{8} d^{2} + 18 \, a^{3} b^{7} c^{7} d^{3} + 42 \, a^{4} b^{6} c^{6} d^{4} + 126 \, a^{5} b^{5} c^{5} d^{5} + 630 \, a^{6} b^{4} c^{4} d^{6} - 6534 \, a^{7} b^{3} c^{3} d^{7} + 12987 \, a^{8} b^{2} c^{2} d^{8} - 10047 \, a^{9} b c d^{9} + 2761 \, a^{10} d^{10} + 4410 \, {\left(b^{10} c^{4} d^{6} - 4 \, a b^{9} c^{3} d^{7} + 6 \, a^{2} b^{8} c^{2} d^{8} - 4 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} x^{6} + 2646 \, {\left(b^{10} c^{5} d^{5} + 5 \, a b^{9} c^{4} d^{6} - 30 \, a^{2} b^{8} c^{3} d^{7} + 50 \, a^{3} b^{7} c^{2} d^{8} - 35 \, a^{4} b^{6} c d^{9} + 9 \, a^{5} b^{5} d^{10}\right)} x^{5} + 1470 \, {\left(b^{10} c^{6} d^{4} + 3 \, a b^{9} c^{5} d^{5} + 15 \, a^{2} b^{8} c^{4} d^{6} - 110 \, a^{3} b^{7} c^{3} d^{7} + 195 \, a^{4} b^{6} c^{2} d^{8} - 141 \, a^{5} b^{5} c d^{9} + 37 \, a^{6} b^{4} d^{10}\right)} x^{4} + 210 \, {\left(3 \, b^{10} c^{7} d^{3} + 7 \, a b^{9} c^{6} d^{4} + 21 \, a^{2} b^{8} c^{5} d^{5} + 105 \, a^{3} b^{7} c^{4} d^{6} - 875 \, a^{4} b^{6} c^{3} d^{7} + 1617 \, a^{5} b^{5} c^{2} d^{8} - 1197 \, a^{6} b^{4} c d^{9} + 319 \, a^{7} b^{3} d^{10}\right)} x^{3} + 63 \, {\left(3 \, b^{10} c^{8} d^{2} + 6 \, a b^{9} c^{7} d^{3} + 14 \, a^{2} b^{8} c^{6} d^{4} + 42 \, a^{3} b^{7} c^{5} d^{5} + 210 \, a^{4} b^{6} c^{4} d^{6} - 1918 \, a^{5} b^{5} c^{3} d^{7} + 3654 \, a^{6} b^{4} c^{2} d^{8} - 2754 \, a^{7} b^{3} c d^{9} + 743 \, a^{8} b^{2} d^{10}\right)} x^{2} + 7 \, {\left(5 \, b^{10} c^{9} d + 9 \, a b^{9} c^{8} d^{2} + 18 \, a^{2} b^{8} c^{7} d^{3} + 42 \, a^{3} b^{7} c^{6} d^{4} + 126 \, a^{4} b^{6} c^{5} d^{5} + 630 \, a^{5} b^{5} c^{4} d^{6} - 6174 \, a^{6} b^{4} c^{3} d^{7} + 12042 \, a^{7} b^{3} c^{2} d^{8} - 9207 \, a^{8} b^{2} c d^{9} + 2509 \, a^{9} b d^{10}\right)} x}{21 \, {\left(b x + a\right)}^{7} b^{11}} + \frac{b^{16} d^{10} x^{3} + 15 \, b^{16} c d^{9} x^{2} - 12 \, a b^{15} d^{10} x^{2} + 135 \, b^{16} c^{2} d^{8} x - 240 \, a b^{15} c d^{9} x + 108 \, a^{2} b^{14} d^{10} x}{3 \, b^{24}}"," ",0,"120*(b^3*c^3*d^7 - 3*a*b^2*c^2*d^8 + 3*a^2*b*c*d^9 - a^3*d^10)*log(abs(b*x + a))/b^11 - 1/21*(3*b^10*c^10 + 5*a*b^9*c^9*d + 9*a^2*b^8*c^8*d^2 + 18*a^3*b^7*c^7*d^3 + 42*a^4*b^6*c^6*d^4 + 126*a^5*b^5*c^5*d^5 + 630*a^6*b^4*c^4*d^6 - 6534*a^7*b^3*c^3*d^7 + 12987*a^8*b^2*c^2*d^8 - 10047*a^9*b*c*d^9 + 2761*a^10*d^10 + 4410*(b^10*c^4*d^6 - 4*a*b^9*c^3*d^7 + 6*a^2*b^8*c^2*d^8 - 4*a^3*b^7*c*d^9 + a^4*b^6*d^10)*x^6 + 2646*(b^10*c^5*d^5 + 5*a*b^9*c^4*d^6 - 30*a^2*b^8*c^3*d^7 + 50*a^3*b^7*c^2*d^8 - 35*a^4*b^6*c*d^9 + 9*a^5*b^5*d^10)*x^5 + 1470*(b^10*c^6*d^4 + 3*a*b^9*c^5*d^5 + 15*a^2*b^8*c^4*d^6 - 110*a^3*b^7*c^3*d^7 + 195*a^4*b^6*c^2*d^8 - 141*a^5*b^5*c*d^9 + 37*a^6*b^4*d^10)*x^4 + 210*(3*b^10*c^7*d^3 + 7*a*b^9*c^6*d^4 + 21*a^2*b^8*c^5*d^5 + 105*a^3*b^7*c^4*d^6 - 875*a^4*b^6*c^3*d^7 + 1617*a^5*b^5*c^2*d^8 - 1197*a^6*b^4*c*d^9 + 319*a^7*b^3*d^10)*x^3 + 63*(3*b^10*c^8*d^2 + 6*a*b^9*c^7*d^3 + 14*a^2*b^8*c^6*d^4 + 42*a^3*b^7*c^5*d^5 + 210*a^4*b^6*c^4*d^6 - 1918*a^5*b^5*c^3*d^7 + 3654*a^6*b^4*c^2*d^8 - 2754*a^7*b^3*c*d^9 + 743*a^8*b^2*d^10)*x^2 + 7*(5*b^10*c^9*d + 9*a*b^9*c^8*d^2 + 18*a^2*b^8*c^7*d^3 + 42*a^3*b^7*c^6*d^4 + 126*a^4*b^6*c^5*d^5 + 630*a^5*b^5*c^4*d^6 - 6174*a^6*b^4*c^3*d^7 + 12042*a^7*b^3*c^2*d^8 - 9207*a^8*b^2*c*d^9 + 2509*a^9*b*d^10)*x)/((b*x + a)^7*b^11) + 1/3*(b^16*d^10*x^3 + 15*b^16*c*d^9*x^2 - 12*a*b^15*d^10*x^2 + 135*b^16*c^2*d^8*x - 240*a*b^15*c*d^9*x + 108*a^2*b^14*d^10*x)/b^24","B",0
1320,1,871,0,1.292093," ","integrate((d*x+c)^10/(b*x+a)^9,x, algorithm=""giac"")","\frac{45 \, {\left(b^{2} c^{2} d^{8} - 2 \, a b c d^{9} + a^{2} d^{10}\right)} \log\left({\left| b x + a \right|}\right)}{b^{11}} + \frac{b^{9} d^{10} x^{2} + 20 \, b^{9} c d^{9} x - 18 \, a b^{8} d^{10} x}{2 \, b^{18}} - \frac{7 \, b^{10} c^{10} + 10 \, a b^{9} c^{9} d + 15 \, a^{2} b^{8} c^{8} d^{2} + 24 \, a^{3} b^{7} c^{7} d^{3} + 42 \, a^{4} b^{6} c^{6} d^{4} + 84 \, a^{5} b^{5} c^{5} d^{5} + 210 \, a^{6} b^{4} c^{4} d^{6} + 840 \, a^{7} b^{3} c^{3} d^{7} - 6849 \, a^{8} b^{2} c^{2} d^{8} + 9218 \, a^{9} b c d^{9} - 3601 \, a^{10} d^{10} + 6720 \, {\left(b^{10} c^{3} d^{7} - 3 \, a b^{9} c^{2} d^{8} + 3 \, a^{2} b^{8} c d^{9} - a^{3} b^{7} d^{10}\right)} x^{7} + 5880 \, {\left(b^{10} c^{4} d^{6} + 4 \, a b^{9} c^{3} d^{7} - 18 \, a^{2} b^{8} c^{2} d^{8} + 20 \, a^{3} b^{7} c d^{9} - 7 \, a^{4} b^{6} d^{10}\right)} x^{6} + 2352 \, {\left(2 \, b^{10} c^{5} d^{5} + 5 \, a b^{9} c^{4} d^{6} + 20 \, a^{2} b^{8} c^{3} d^{7} - 110 \, a^{3} b^{7} c^{2} d^{8} + 130 \, a^{4} b^{6} c d^{9} - 47 \, a^{5} b^{5} d^{10}\right)} x^{5} + 2940 \, {\left(b^{10} c^{6} d^{4} + 2 \, a b^{9} c^{5} d^{5} + 5 \, a^{2} b^{8} c^{4} d^{6} + 20 \, a^{3} b^{7} c^{3} d^{7} - 125 \, a^{4} b^{6} c^{2} d^{8} + 154 \, a^{5} b^{5} c d^{9} - 57 \, a^{6} b^{4} d^{10}\right)} x^{4} + 336 \, {\left(4 \, b^{10} c^{7} d^{3} + 7 \, a b^{9} c^{6} d^{4} + 14 \, a^{2} b^{8} c^{5} d^{5} + 35 \, a^{3} b^{7} c^{4} d^{6} + 140 \, a^{4} b^{6} c^{3} d^{7} - 959 \, a^{5} b^{5} c^{2} d^{8} + 1218 \, a^{6} b^{4} c d^{9} - 459 \, a^{7} b^{3} d^{10}\right)} x^{3} + 84 \, {\left(5 \, b^{10} c^{8} d^{2} + 8 \, a b^{9} c^{7} d^{3} + 14 \, a^{2} b^{8} c^{6} d^{4} + 28 \, a^{3} b^{7} c^{5} d^{5} + 70 \, a^{4} b^{6} c^{4} d^{6} + 280 \, a^{5} b^{5} c^{3} d^{7} - 2058 \, a^{6} b^{4} c^{2} d^{8} + 2676 \, a^{7} b^{3} c d^{9} - 1023 \, a^{8} b^{2} d^{10}\right)} x^{2} + 8 \, {\left(10 \, b^{10} c^{9} d + 15 \, a b^{9} c^{8} d^{2} + 24 \, a^{2} b^{8} c^{7} d^{3} + 42 \, a^{3} b^{7} c^{6} d^{4} + 84 \, a^{4} b^{6} c^{5} d^{5} + 210 \, a^{5} b^{5} c^{4} d^{6} + 840 \, a^{6} b^{4} c^{3} d^{7} - 6534 \, a^{7} b^{3} c^{2} d^{8} + 8658 \, a^{8} b^{2} c d^{9} - 3349 \, a^{9} b d^{10}\right)} x}{56 \, {\left(b x + a\right)}^{8} b^{11}}"," ",0,"45*(b^2*c^2*d^8 - 2*a*b*c*d^9 + a^2*d^10)*log(abs(b*x + a))/b^11 + 1/2*(b^9*d^10*x^2 + 20*b^9*c*d^9*x - 18*a*b^8*d^10*x)/b^18 - 1/56*(7*b^10*c^10 + 10*a*b^9*c^9*d + 15*a^2*b^8*c^8*d^2 + 24*a^3*b^7*c^7*d^3 + 42*a^4*b^6*c^6*d^4 + 84*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 + 840*a^7*b^3*c^3*d^7 - 6849*a^8*b^2*c^2*d^8 + 9218*a^9*b*c*d^9 - 3601*a^10*d^10 + 6720*(b^10*c^3*d^7 - 3*a*b^9*c^2*d^8 + 3*a^2*b^8*c*d^9 - a^3*b^7*d^10)*x^7 + 5880*(b^10*c^4*d^6 + 4*a*b^9*c^3*d^7 - 18*a^2*b^8*c^2*d^8 + 20*a^3*b^7*c*d^9 - 7*a^4*b^6*d^10)*x^6 + 2352*(2*b^10*c^5*d^5 + 5*a*b^9*c^4*d^6 + 20*a^2*b^8*c^3*d^7 - 110*a^3*b^7*c^2*d^8 + 130*a^4*b^6*c*d^9 - 47*a^5*b^5*d^10)*x^5 + 2940*(b^10*c^6*d^4 + 2*a*b^9*c^5*d^5 + 5*a^2*b^8*c^4*d^6 + 20*a^3*b^7*c^3*d^7 - 125*a^4*b^6*c^2*d^8 + 154*a^5*b^5*c*d^9 - 57*a^6*b^4*d^10)*x^4 + 336*(4*b^10*c^7*d^3 + 7*a*b^9*c^6*d^4 + 14*a^2*b^8*c^5*d^5 + 35*a^3*b^7*c^4*d^6 + 140*a^4*b^6*c^3*d^7 - 959*a^5*b^5*c^2*d^8 + 1218*a^6*b^4*c*d^9 - 459*a^7*b^3*d^10)*x^3 + 84*(5*b^10*c^8*d^2 + 8*a*b^9*c^7*d^3 + 14*a^2*b^8*c^6*d^4 + 28*a^3*b^7*c^5*d^5 + 70*a^4*b^6*c^4*d^6 + 280*a^5*b^5*c^3*d^7 - 2058*a^6*b^4*c^2*d^8 + 2676*a^7*b^3*c*d^9 - 1023*a^8*b^2*d^10)*x^2 + 8*(10*b^10*c^9*d + 15*a*b^9*c^8*d^2 + 24*a^2*b^8*c^7*d^3 + 42*a^3*b^7*c^6*d^4 + 84*a^4*b^6*c^5*d^5 + 210*a^5*b^5*c^4*d^6 + 840*a^6*b^4*c^3*d^7 - 6534*a^7*b^3*c^2*d^8 + 8658*a^8*b^2*c*d^9 - 3349*a^9*b*d^10)*x)/((b*x + a)^8*b^11)","B",0
1321,1,867,0,1.248119," ","integrate((d*x+c)^10/(b*x+a)^10,x, algorithm=""giac"")","\frac{d^{10} x}{b^{10}} + \frac{10 \, {\left(b c d^{9} - a d^{10}\right)} \log\left({\left| b x + a \right|}\right)}{b^{11}} - \frac{28 \, b^{10} c^{10} + 35 \, a b^{9} c^{9} d + 45 \, a^{2} b^{8} c^{8} d^{2} + 60 \, a^{3} b^{7} c^{7} d^{3} + 84 \, a^{4} b^{6} c^{6} d^{4} + 126 \, a^{5} b^{5} c^{5} d^{5} + 210 \, a^{6} b^{4} c^{4} d^{6} + 420 \, a^{7} b^{3} c^{3} d^{7} + 1260 \, a^{8} b^{2} c^{2} d^{8} - 7129 \, a^{9} b c d^{9} + 4861 \, a^{10} d^{10} + 11340 \, {\left(b^{10} c^{2} d^{8} - 2 \, a b^{9} c d^{9} + a^{2} b^{8} d^{10}\right)} x^{8} + 15120 \, {\left(b^{10} c^{3} d^{7} + 3 \, a b^{9} c^{2} d^{8} - 9 \, a^{2} b^{8} c d^{9} + 5 \, a^{3} b^{7} d^{10}\right)} x^{7} + 17640 \, {\left(b^{10} c^{4} d^{6} + 2 \, a b^{9} c^{3} d^{7} + 6 \, a^{2} b^{8} c^{2} d^{8} - 22 \, a^{3} b^{7} c d^{9} + 13 \, a^{4} b^{6} d^{10}\right)} x^{6} + 5292 \, {\left(3 \, b^{10} c^{5} d^{5} + 5 \, a b^{9} c^{4} d^{6} + 10 \, a^{2} b^{8} c^{3} d^{7} + 30 \, a^{3} b^{7} c^{2} d^{8} - 125 \, a^{4} b^{6} c d^{9} + 77 \, a^{5} b^{5} d^{10}\right)} x^{5} + 5292 \, {\left(2 \, b^{10} c^{6} d^{4} + 3 \, a b^{9} c^{5} d^{5} + 5 \, a^{2} b^{8} c^{4} d^{6} + 10 \, a^{3} b^{7} c^{3} d^{7} + 30 \, a^{4} b^{6} c^{2} d^{8} - 137 \, a^{5} b^{5} c d^{9} + 87 \, a^{6} b^{4} d^{10}\right)} x^{4} + 504 \, {\left(10 \, b^{10} c^{7} d^{3} + 14 \, a b^{9} c^{6} d^{4} + 21 \, a^{2} b^{8} c^{5} d^{5} + 35 \, a^{3} b^{7} c^{4} d^{6} + 70 \, a^{4} b^{6} c^{3} d^{7} + 210 \, a^{5} b^{5} c^{2} d^{8} - 1029 \, a^{6} b^{4} c d^{9} + 669 \, a^{7} b^{3} d^{10}\right)} x^{3} + 108 \, {\left(15 \, b^{10} c^{8} d^{2} + 20 \, a b^{9} c^{7} d^{3} + 28 \, a^{2} b^{8} c^{6} d^{4} + 42 \, a^{3} b^{7} c^{5} d^{5} + 70 \, a^{4} b^{6} c^{4} d^{6} + 140 \, a^{5} b^{5} c^{3} d^{7} + 420 \, a^{6} b^{4} c^{2} d^{8} - 2178 \, a^{7} b^{3} c d^{9} + 1443 \, a^{8} b^{2} d^{10}\right)} x^{2} + 9 \, {\left(35 \, b^{10} c^{9} d + 45 \, a b^{9} c^{8} d^{2} + 60 \, a^{2} b^{8} c^{7} d^{3} + 84 \, a^{3} b^{7} c^{6} d^{4} + 126 \, a^{4} b^{6} c^{5} d^{5} + 210 \, a^{5} b^{5} c^{4} d^{6} + 420 \, a^{6} b^{4} c^{3} d^{7} + 1260 \, a^{7} b^{3} c^{2} d^{8} - 6849 \, a^{8} b^{2} c d^{9} + 4609 \, a^{9} b d^{10}\right)} x}{252 \, {\left(b x + a\right)}^{9} b^{11}}"," ",0,"d^10*x/b^10 + 10*(b*c*d^9 - a*d^10)*log(abs(b*x + a))/b^11 - 1/252*(28*b^10*c^10 + 35*a*b^9*c^9*d + 45*a^2*b^8*c^8*d^2 + 60*a^3*b^7*c^7*d^3 + 84*a^4*b^6*c^6*d^4 + 126*a^5*b^5*c^5*d^5 + 210*a^6*b^4*c^4*d^6 + 420*a^7*b^3*c^3*d^7 + 1260*a^8*b^2*c^2*d^8 - 7129*a^9*b*c*d^9 + 4861*a^10*d^10 + 11340*(b^10*c^2*d^8 - 2*a*b^9*c*d^9 + a^2*b^8*d^10)*x^8 + 15120*(b^10*c^3*d^7 + 3*a*b^9*c^2*d^8 - 9*a^2*b^8*c*d^9 + 5*a^3*b^7*d^10)*x^7 + 17640*(b^10*c^4*d^6 + 2*a*b^9*c^3*d^7 + 6*a^2*b^8*c^2*d^8 - 22*a^3*b^7*c*d^9 + 13*a^4*b^6*d^10)*x^6 + 5292*(3*b^10*c^5*d^5 + 5*a*b^9*c^4*d^6 + 10*a^2*b^8*c^3*d^7 + 30*a^3*b^7*c^2*d^8 - 125*a^4*b^6*c*d^9 + 77*a^5*b^5*d^10)*x^5 + 5292*(2*b^10*c^6*d^4 + 3*a*b^9*c^5*d^5 + 5*a^2*b^8*c^4*d^6 + 10*a^3*b^7*c^3*d^7 + 30*a^4*b^6*c^2*d^8 - 137*a^5*b^5*c*d^9 + 87*a^6*b^4*d^10)*x^4 + 504*(10*b^10*c^7*d^3 + 14*a*b^9*c^6*d^4 + 21*a^2*b^8*c^5*d^5 + 35*a^3*b^7*c^4*d^6 + 70*a^4*b^6*c^3*d^7 + 210*a^5*b^5*c^2*d^8 - 1029*a^6*b^4*c*d^9 + 669*a^7*b^3*d^10)*x^3 + 108*(15*b^10*c^8*d^2 + 20*a*b^9*c^7*d^3 + 28*a^2*b^8*c^6*d^4 + 42*a^3*b^7*c^5*d^5 + 70*a^4*b^6*c^4*d^6 + 140*a^5*b^5*c^3*d^7 + 420*a^6*b^4*c^2*d^8 - 2178*a^7*b^3*c*d^9 + 1443*a^8*b^2*d^10)*x^2 + 9*(35*b^10*c^9*d + 45*a*b^9*c^8*d^2 + 60*a^2*b^8*c^7*d^3 + 84*a^3*b^7*c^6*d^4 + 126*a^4*b^6*c^5*d^5 + 210*a^5*b^5*c^4*d^6 + 420*a^6*b^4*c^3*d^7 + 1260*a^7*b^3*c^2*d^8 - 6849*a^8*b^2*c*d^9 + 4609*a^9*b*d^10)*x)/((b*x + a)^9*b^11)","B",0
1322,1,874,0,1.356774," ","integrate((d*x+c)^10/(b*x+a)^11,x, algorithm=""giac"")","\frac{d^{10} \log\left({\left| b x + a \right|}\right)}{b^{11}} - \frac{25200 \, {\left(b^{9} c d^{9} - a b^{8} d^{10}\right)} x^{9} + 56700 \, {\left(b^{9} c^{2} d^{8} + 2 \, a b^{8} c d^{9} - 3 \, a^{2} b^{7} d^{10}\right)} x^{8} + 50400 \, {\left(2 \, b^{9} c^{3} d^{7} + 3 \, a b^{8} c^{2} d^{8} + 6 \, a^{2} b^{7} c d^{9} - 11 \, a^{3} b^{6} d^{10}\right)} x^{7} + 44100 \, {\left(3 \, b^{9} c^{4} d^{6} + 4 \, a b^{8} c^{3} d^{7} + 6 \, a^{2} b^{7} c^{2} d^{8} + 12 \, a^{3} b^{6} c d^{9} - 25 \, a^{4} b^{5} d^{10}\right)} x^{6} + 10584 \, {\left(12 \, b^{9} c^{5} d^{5} + 15 \, a b^{8} c^{4} d^{6} + 20 \, a^{2} b^{7} c^{3} d^{7} + 30 \, a^{3} b^{6} c^{2} d^{8} + 60 \, a^{4} b^{5} c d^{9} - 137 \, a^{5} b^{4} d^{10}\right)} x^{5} + 8820 \, {\left(10 \, b^{9} c^{6} d^{4} + 12 \, a b^{8} c^{5} d^{5} + 15 \, a^{2} b^{7} c^{4} d^{6} + 20 \, a^{3} b^{6} c^{3} d^{7} + 30 \, a^{4} b^{5} c^{2} d^{8} + 60 \, a^{5} b^{4} c d^{9} - 147 \, a^{6} b^{3} d^{10}\right)} x^{4} + 720 \, {\left(60 \, b^{9} c^{7} d^{3} + 70 \, a b^{8} c^{6} d^{4} + 84 \, a^{2} b^{7} c^{5} d^{5} + 105 \, a^{3} b^{6} c^{4} d^{6} + 140 \, a^{4} b^{5} c^{3} d^{7} + 210 \, a^{5} b^{4} c^{2} d^{8} + 420 \, a^{6} b^{3} c d^{9} - 1089 \, a^{7} b^{2} d^{10}\right)} x^{3} + 135 \, {\left(105 \, b^{9} c^{8} d^{2} + 120 \, a b^{8} c^{7} d^{3} + 140 \, a^{2} b^{7} c^{6} d^{4} + 168 \, a^{3} b^{6} c^{5} d^{5} + 210 \, a^{4} b^{5} c^{4} d^{6} + 280 \, a^{5} b^{4} c^{3} d^{7} + 420 \, a^{6} b^{3} c^{2} d^{8} + 840 \, a^{7} b^{2} c d^{9} - 2283 \, a^{8} b d^{10}\right)} x^{2} + 10 \, {\left(280 \, b^{9} c^{9} d + 315 \, a b^{8} c^{8} d^{2} + 360 \, a^{2} b^{7} c^{7} d^{3} + 420 \, a^{3} b^{6} c^{6} d^{4} + 504 \, a^{4} b^{5} c^{5} d^{5} + 630 \, a^{5} b^{4} c^{4} d^{6} + 840 \, a^{6} b^{3} c^{3} d^{7} + 1260 \, a^{7} b^{2} c^{2} d^{8} + 2520 \, a^{8} b c d^{9} - 7129 \, a^{9} d^{10}\right)} x + \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}}{b}}{2520 \, {\left(b x + a\right)}^{10} b^{10}}"," ",0,"d^10*log(abs(b*x + a))/b^11 - 1/2520*(25200*(b^9*c*d^9 - a*b^8*d^10)*x^9 + 56700*(b^9*c^2*d^8 + 2*a*b^8*c*d^9 - 3*a^2*b^7*d^10)*x^8 + 50400*(2*b^9*c^3*d^7 + 3*a*b^8*c^2*d^8 + 6*a^2*b^7*c*d^9 - 11*a^3*b^6*d^10)*x^7 + 44100*(3*b^9*c^4*d^6 + 4*a*b^8*c^3*d^7 + 6*a^2*b^7*c^2*d^8 + 12*a^3*b^6*c*d^9 - 25*a^4*b^5*d^10)*x^6 + 10584*(12*b^9*c^5*d^5 + 15*a*b^8*c^4*d^6 + 20*a^2*b^7*c^3*d^7 + 30*a^3*b^6*c^2*d^8 + 60*a^4*b^5*c*d^9 - 137*a^5*b^4*d^10)*x^5 + 8820*(10*b^9*c^6*d^4 + 12*a*b^8*c^5*d^5 + 15*a^2*b^7*c^4*d^6 + 20*a^3*b^6*c^3*d^7 + 30*a^4*b^5*c^2*d^8 + 60*a^5*b^4*c*d^9 - 147*a^6*b^3*d^10)*x^4 + 720*(60*b^9*c^7*d^3 + 70*a*b^8*c^6*d^4 + 84*a^2*b^7*c^5*d^5 + 105*a^3*b^6*c^4*d^6 + 140*a^4*b^5*c^3*d^7 + 210*a^5*b^4*c^2*d^8 + 420*a^6*b^3*c*d^9 - 1089*a^7*b^2*d^10)*x^3 + 135*(105*b^9*c^8*d^2 + 120*a*b^8*c^7*d^3 + 140*a^2*b^7*c^6*d^4 + 168*a^3*b^6*c^5*d^5 + 210*a^4*b^5*c^4*d^6 + 280*a^5*b^4*c^3*d^7 + 420*a^6*b^3*c^2*d^8 + 840*a^7*b^2*c*d^9 - 2283*a^8*b*d^10)*x^2 + 10*(280*b^9*c^9*d + 315*a*b^8*c^8*d^2 + 360*a^2*b^7*c^7*d^3 + 420*a^3*b^6*c^6*d^4 + 504*a^4*b^5*c^5*d^5 + 630*a^5*b^4*c^4*d^6 + 840*a^6*b^3*c^3*d^7 + 1260*a^7*b^2*c^2*d^8 + 2520*a^8*b*c*d^9 - 7129*a^9*d^10)*x + (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)/b)/((b*x + a)^10*b^10)","B",0
1323,1,951,0,1.355420," ","integrate((d*x+c)^10/(b*x+a)^12,x, algorithm=""giac"")","-\frac{11 \, b^{10} d^{10} x^{10} + 55 \, b^{10} c d^{9} x^{9} + 55 \, a b^{9} d^{10} x^{9} + 165 \, b^{10} c^{2} d^{8} x^{8} + 165 \, a b^{9} c d^{9} x^{8} + 165 \, a^{2} b^{8} d^{10} x^{8} + 330 \, b^{10} c^{3} d^{7} x^{7} + 330 \, a b^{9} c^{2} d^{8} x^{7} + 330 \, a^{2} b^{8} c d^{9} x^{7} + 330 \, a^{3} b^{7} d^{10} x^{7} + 462 \, b^{10} c^{4} d^{6} x^{6} + 462 \, a b^{9} c^{3} d^{7} x^{6} + 462 \, a^{2} b^{8} c^{2} d^{8} x^{6} + 462 \, a^{3} b^{7} c d^{9} x^{6} + 462 \, a^{4} b^{6} d^{10} x^{6} + 462 \, b^{10} c^{5} d^{5} x^{5} + 462 \, a b^{9} c^{4} d^{6} x^{5} + 462 \, a^{2} b^{8} c^{3} d^{7} x^{5} + 462 \, a^{3} b^{7} c^{2} d^{8} x^{5} + 462 \, a^{4} b^{6} c d^{9} x^{5} + 462 \, a^{5} b^{5} d^{10} x^{5} + 330 \, b^{10} c^{6} d^{4} x^{4} + 330 \, a b^{9} c^{5} d^{5} x^{4} + 330 \, a^{2} b^{8} c^{4} d^{6} x^{4} + 330 \, a^{3} b^{7} c^{3} d^{7} x^{4} + 330 \, a^{4} b^{6} c^{2} d^{8} x^{4} + 330 \, a^{5} b^{5} c d^{9} x^{4} + 330 \, a^{6} b^{4} d^{10} x^{4} + 165 \, b^{10} c^{7} d^{3} x^{3} + 165 \, a b^{9} c^{6} d^{4} x^{3} + 165 \, a^{2} b^{8} c^{5} d^{5} x^{3} + 165 \, a^{3} b^{7} c^{4} d^{6} x^{3} + 165 \, a^{4} b^{6} c^{3} d^{7} x^{3} + 165 \, a^{5} b^{5} c^{2} d^{8} x^{3} + 165 \, a^{6} b^{4} c d^{9} x^{3} + 165 \, a^{7} b^{3} d^{10} x^{3} + 55 \, b^{10} c^{8} d^{2} x^{2} + 55 \, a b^{9} c^{7} d^{3} x^{2} + 55 \, a^{2} b^{8} c^{6} d^{4} x^{2} + 55 \, a^{3} b^{7} c^{5} d^{5} x^{2} + 55 \, a^{4} b^{6} c^{4} d^{6} x^{2} + 55 \, a^{5} b^{5} c^{3} d^{7} x^{2} + 55 \, a^{6} b^{4} c^{2} d^{8} x^{2} + 55 \, a^{7} b^{3} c d^{9} x^{2} + 55 \, a^{8} b^{2} d^{10} x^{2} + 11 \, b^{10} c^{9} d x + 11 \, a b^{9} c^{8} d^{2} x + 11 \, a^{2} b^{8} c^{7} d^{3} x + 11 \, a^{3} b^{7} c^{6} d^{4} x + 11 \, a^{4} b^{6} c^{5} d^{5} x + 11 \, a^{5} b^{5} c^{4} d^{6} x + 11 \, a^{6} b^{4} c^{3} d^{7} x + 11 \, a^{7} b^{3} c^{2} d^{8} x + 11 \, a^{8} b^{2} c d^{9} x + 11 \, a^{9} b d^{10} x + 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}}{11 \, {\left(b x + a\right)}^{11} b^{11}}"," ",0,"-1/11*(11*b^10*d^10*x^10 + 55*b^10*c*d^9*x^9 + 55*a*b^9*d^10*x^9 + 165*b^10*c^2*d^8*x^8 + 165*a*b^9*c*d^9*x^8 + 165*a^2*b^8*d^10*x^8 + 330*b^10*c^3*d^7*x^7 + 330*a*b^9*c^2*d^8*x^7 + 330*a^2*b^8*c*d^9*x^7 + 330*a^3*b^7*d^10*x^7 + 462*b^10*c^4*d^6*x^6 + 462*a*b^9*c^3*d^7*x^6 + 462*a^2*b^8*c^2*d^8*x^6 + 462*a^3*b^7*c*d^9*x^6 + 462*a^4*b^6*d^10*x^6 + 462*b^10*c^5*d^5*x^5 + 462*a*b^9*c^4*d^6*x^5 + 462*a^2*b^8*c^3*d^7*x^5 + 462*a^3*b^7*c^2*d^8*x^5 + 462*a^4*b^6*c*d^9*x^5 + 462*a^5*b^5*d^10*x^5 + 330*b^10*c^6*d^4*x^4 + 330*a*b^9*c^5*d^5*x^4 + 330*a^2*b^8*c^4*d^6*x^4 + 330*a^3*b^7*c^3*d^7*x^4 + 330*a^4*b^6*c^2*d^8*x^4 + 330*a^5*b^5*c*d^9*x^4 + 330*a^6*b^4*d^10*x^4 + 165*b^10*c^7*d^3*x^3 + 165*a*b^9*c^6*d^4*x^3 + 165*a^2*b^8*c^5*d^5*x^3 + 165*a^3*b^7*c^4*d^6*x^3 + 165*a^4*b^6*c^3*d^7*x^3 + 165*a^5*b^5*c^2*d^8*x^3 + 165*a^6*b^4*c*d^9*x^3 + 165*a^7*b^3*d^10*x^3 + 55*b^10*c^8*d^2*x^2 + 55*a*b^9*c^7*d^3*x^2 + 55*a^2*b^8*c^6*d^4*x^2 + 55*a^3*b^7*c^5*d^5*x^2 + 55*a^4*b^6*c^4*d^6*x^2 + 55*a^5*b^5*c^3*d^7*x^2 + 55*a^6*b^4*c^2*d^8*x^2 + 55*a^7*b^3*c*d^9*x^2 + 55*a^8*b^2*d^10*x^2 + 11*b^10*c^9*d*x + 11*a*b^9*c^8*d^2*x + 11*a^2*b^8*c^7*d^3*x + 11*a^3*b^7*c^6*d^4*x + 11*a^4*b^6*c^5*d^5*x + 11*a^5*b^5*c^4*d^6*x + 11*a^6*b^4*c^3*d^7*x + 11*a^7*b^3*c^2*d^8*x + 11*a^8*b^2*c*d^9*x + 11*a^9*b*d^10*x + 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)/((b*x + a)^11*b^11)","B",0
1324,1,961,0,1.321963," ","integrate((d*x+c)^10/(b*x+a)^13,x, algorithm=""giac"")","-\frac{66 \, b^{10} d^{10} x^{10} + 440 \, b^{10} c d^{9} x^{9} + 220 \, a b^{9} d^{10} x^{9} + 1485 \, b^{10} c^{2} d^{8} x^{8} + 990 \, a b^{9} c d^{9} x^{8} + 495 \, a^{2} b^{8} d^{10} x^{8} + 3168 \, b^{10} c^{3} d^{7} x^{7} + 2376 \, a b^{9} c^{2} d^{8} x^{7} + 1584 \, a^{2} b^{8} c d^{9} x^{7} + 792 \, a^{3} b^{7} d^{10} x^{7} + 4620 \, b^{10} c^{4} d^{6} x^{6} + 3696 \, a b^{9} c^{3} d^{7} x^{6} + 2772 \, a^{2} b^{8} c^{2} d^{8} x^{6} + 1848 \, a^{3} b^{7} c d^{9} x^{6} + 924 \, a^{4} b^{6} d^{10} x^{6} + 4752 \, b^{10} c^{5} d^{5} x^{5} + 3960 \, a b^{9} c^{4} d^{6} x^{5} + 3168 \, a^{2} b^{8} c^{3} d^{7} x^{5} + 2376 \, a^{3} b^{7} c^{2} d^{8} x^{5} + 1584 \, a^{4} b^{6} c d^{9} x^{5} + 792 \, a^{5} b^{5} d^{10} x^{5} + 3465 \, b^{10} c^{6} d^{4} x^{4} + 2970 \, a b^{9} c^{5} d^{5} x^{4} + 2475 \, a^{2} b^{8} c^{4} d^{6} x^{4} + 1980 \, a^{3} b^{7} c^{3} d^{7} x^{4} + 1485 \, a^{4} b^{6} c^{2} d^{8} x^{4} + 990 \, a^{5} b^{5} c d^{9} x^{4} + 495 \, a^{6} b^{4} d^{10} x^{4} + 1760 \, b^{10} c^{7} d^{3} x^{3} + 1540 \, a b^{9} c^{6} d^{4} x^{3} + 1320 \, a^{2} b^{8} c^{5} d^{5} x^{3} + 1100 \, a^{3} b^{7} c^{4} d^{6} x^{3} + 880 \, a^{4} b^{6} c^{3} d^{7} x^{3} + 660 \, a^{5} b^{5} c^{2} d^{8} x^{3} + 440 \, a^{6} b^{4} c d^{9} x^{3} + 220 \, a^{7} b^{3} d^{10} x^{3} + 594 \, b^{10} c^{8} d^{2} x^{2} + 528 \, a b^{9} c^{7} d^{3} x^{2} + 462 \, a^{2} b^{8} c^{6} d^{4} x^{2} + 396 \, a^{3} b^{7} c^{5} d^{5} x^{2} + 330 \, a^{4} b^{6} c^{4} d^{6} x^{2} + 264 \, a^{5} b^{5} c^{3} d^{7} x^{2} + 198 \, a^{6} b^{4} c^{2} d^{8} x^{2} + 132 \, a^{7} b^{3} c d^{9} x^{2} + 66 \, a^{8} b^{2} d^{10} x^{2} + 120 \, b^{10} c^{9} d x + 108 \, a b^{9} c^{8} d^{2} x + 96 \, a^{2} b^{8} c^{7} d^{3} x + 84 \, a^{3} b^{7} c^{6} d^{4} x + 72 \, a^{4} b^{6} c^{5} d^{5} x + 60 \, a^{5} b^{5} c^{4} d^{6} x + 48 \, a^{6} b^{4} c^{3} d^{7} x + 36 \, a^{7} b^{3} c^{2} d^{8} x + 24 \, a^{8} b^{2} c d^{9} x + 12 \, a^{9} b d^{10} x + 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}}{132 \, {\left(b x + a\right)}^{12} b^{11}}"," ",0,"-1/132*(66*b^10*d^10*x^10 + 440*b^10*c*d^9*x^9 + 220*a*b^9*d^10*x^9 + 1485*b^10*c^2*d^8*x^8 + 990*a*b^9*c*d^9*x^8 + 495*a^2*b^8*d^10*x^8 + 3168*b^10*c^3*d^7*x^7 + 2376*a*b^9*c^2*d^8*x^7 + 1584*a^2*b^8*c*d^9*x^7 + 792*a^3*b^7*d^10*x^7 + 4620*b^10*c^4*d^6*x^6 + 3696*a*b^9*c^3*d^7*x^6 + 2772*a^2*b^8*c^2*d^8*x^6 + 1848*a^3*b^7*c*d^9*x^6 + 924*a^4*b^6*d^10*x^6 + 4752*b^10*c^5*d^5*x^5 + 3960*a*b^9*c^4*d^6*x^5 + 3168*a^2*b^8*c^3*d^7*x^5 + 2376*a^3*b^7*c^2*d^8*x^5 + 1584*a^4*b^6*c*d^9*x^5 + 792*a^5*b^5*d^10*x^5 + 3465*b^10*c^6*d^4*x^4 + 2970*a*b^9*c^5*d^5*x^4 + 2475*a^2*b^8*c^4*d^6*x^4 + 1980*a^3*b^7*c^3*d^7*x^4 + 1485*a^4*b^6*c^2*d^8*x^4 + 990*a^5*b^5*c*d^9*x^4 + 495*a^6*b^4*d^10*x^4 + 1760*b^10*c^7*d^3*x^3 + 1540*a*b^9*c^6*d^4*x^3 + 1320*a^2*b^8*c^5*d^5*x^3 + 1100*a^3*b^7*c^4*d^6*x^3 + 880*a^4*b^6*c^3*d^7*x^3 + 660*a^5*b^5*c^2*d^8*x^3 + 440*a^6*b^4*c*d^9*x^3 + 220*a^7*b^3*d^10*x^3 + 594*b^10*c^8*d^2*x^2 + 528*a*b^9*c^7*d^3*x^2 + 462*a^2*b^8*c^6*d^4*x^2 + 396*a^3*b^7*c^5*d^5*x^2 + 330*a^4*b^6*c^4*d^6*x^2 + 264*a^5*b^5*c^3*d^7*x^2 + 198*a^6*b^4*c^2*d^8*x^2 + 132*a^7*b^3*c*d^9*x^2 + 66*a^8*b^2*d^10*x^2 + 120*b^10*c^9*d*x + 108*a*b^9*c^8*d^2*x + 96*a^2*b^8*c^7*d^3*x + 84*a^3*b^7*c^6*d^4*x + 72*a^4*b^6*c^5*d^5*x + 60*a^5*b^5*c^4*d^6*x + 48*a^6*b^4*c^3*d^7*x + 36*a^7*b^3*c^2*d^8*x + 24*a^8*b^2*c*d^9*x + 12*a^9*b*d^10*x + 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)/((b*x + a)^12*b^11)","B",0
1325,1,961,0,1.282652," ","integrate((d*x+c)^10/(b*x+a)^14,x, algorithm=""giac"")","-\frac{286 \, b^{10} d^{10} x^{10} + 2145 \, b^{10} c d^{9} x^{9} + 715 \, a b^{9} d^{10} x^{9} + 7722 \, b^{10} c^{2} d^{8} x^{8} + 3861 \, a b^{9} c d^{9} x^{8} + 1287 \, a^{2} b^{8} d^{10} x^{8} + 17160 \, b^{10} c^{3} d^{7} x^{7} + 10296 \, a b^{9} c^{2} d^{8} x^{7} + 5148 \, a^{2} b^{8} c d^{9} x^{7} + 1716 \, a^{3} b^{7} d^{10} x^{7} + 25740 \, b^{10} c^{4} d^{6} x^{6} + 17160 \, a b^{9} c^{3} d^{7} x^{6} + 10296 \, a^{2} b^{8} c^{2} d^{8} x^{6} + 5148 \, a^{3} b^{7} c d^{9} x^{6} + 1716 \, a^{4} b^{6} d^{10} x^{6} + 27027 \, b^{10} c^{5} d^{5} x^{5} + 19305 \, a b^{9} c^{4} d^{6} x^{5} + 12870 \, a^{2} b^{8} c^{3} d^{7} x^{5} + 7722 \, a^{3} b^{7} c^{2} d^{8} x^{5} + 3861 \, a^{4} b^{6} c d^{9} x^{5} + 1287 \, a^{5} b^{5} d^{10} x^{5} + 20020 \, b^{10} c^{6} d^{4} x^{4} + 15015 \, a b^{9} c^{5} d^{5} x^{4} + 10725 \, a^{2} b^{8} c^{4} d^{6} x^{4} + 7150 \, a^{3} b^{7} c^{3} d^{7} x^{4} + 4290 \, a^{4} b^{6} c^{2} d^{8} x^{4} + 2145 \, a^{5} b^{5} c d^{9} x^{4} + 715 \, a^{6} b^{4} d^{10} x^{4} + 10296 \, b^{10} c^{7} d^{3} x^{3} + 8008 \, a b^{9} c^{6} d^{4} x^{3} + 6006 \, a^{2} b^{8} c^{5} d^{5} x^{3} + 4290 \, a^{3} b^{7} c^{4} d^{6} x^{3} + 2860 \, a^{4} b^{6} c^{3} d^{7} x^{3} + 1716 \, a^{5} b^{5} c^{2} d^{8} x^{3} + 858 \, a^{6} b^{4} c d^{9} x^{3} + 286 \, a^{7} b^{3} d^{10} x^{3} + 3510 \, b^{10} c^{8} d^{2} x^{2} + 2808 \, a b^{9} c^{7} d^{3} x^{2} + 2184 \, a^{2} b^{8} c^{6} d^{4} x^{2} + 1638 \, a^{3} b^{7} c^{5} d^{5} x^{2} + 1170 \, a^{4} b^{6} c^{4} d^{6} x^{2} + 780 \, a^{5} b^{5} c^{3} d^{7} x^{2} + 468 \, a^{6} b^{4} c^{2} d^{8} x^{2} + 234 \, a^{7} b^{3} c d^{9} x^{2} + 78 \, a^{8} b^{2} d^{10} x^{2} + 715 \, b^{10} c^{9} d x + 585 \, a b^{9} c^{8} d^{2} x + 468 \, a^{2} b^{8} c^{7} d^{3} x + 364 \, a^{3} b^{7} c^{6} d^{4} x + 273 \, a^{4} b^{6} c^{5} d^{5} x + 195 \, a^{5} b^{5} c^{4} d^{6} x + 130 \, a^{6} b^{4} c^{3} d^{7} x + 78 \, a^{7} b^{3} c^{2} d^{8} x + 39 \, a^{8} b^{2} c d^{9} x + 13 \, a^{9} b d^{10} x + 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}}{858 \, {\left(b x + a\right)}^{13} b^{11}}"," ",0,"-1/858*(286*b^10*d^10*x^10 + 2145*b^10*c*d^9*x^9 + 715*a*b^9*d^10*x^9 + 7722*b^10*c^2*d^8*x^8 + 3861*a*b^9*c*d^9*x^8 + 1287*a^2*b^8*d^10*x^8 + 17160*b^10*c^3*d^7*x^7 + 10296*a*b^9*c^2*d^8*x^7 + 5148*a^2*b^8*c*d^9*x^7 + 1716*a^3*b^7*d^10*x^7 + 25740*b^10*c^4*d^6*x^6 + 17160*a*b^9*c^3*d^7*x^6 + 10296*a^2*b^8*c^2*d^8*x^6 + 5148*a^3*b^7*c*d^9*x^6 + 1716*a^4*b^6*d^10*x^6 + 27027*b^10*c^5*d^5*x^5 + 19305*a*b^9*c^4*d^6*x^5 + 12870*a^2*b^8*c^3*d^7*x^5 + 7722*a^3*b^7*c^2*d^8*x^5 + 3861*a^4*b^6*c*d^9*x^5 + 1287*a^5*b^5*d^10*x^5 + 20020*b^10*c^6*d^4*x^4 + 15015*a*b^9*c^5*d^5*x^4 + 10725*a^2*b^8*c^4*d^6*x^4 + 7150*a^3*b^7*c^3*d^7*x^4 + 4290*a^4*b^6*c^2*d^8*x^4 + 2145*a^5*b^5*c*d^9*x^4 + 715*a^6*b^4*d^10*x^4 + 10296*b^10*c^7*d^3*x^3 + 8008*a*b^9*c^6*d^4*x^3 + 6006*a^2*b^8*c^5*d^5*x^3 + 4290*a^3*b^7*c^4*d^6*x^3 + 2860*a^4*b^6*c^3*d^7*x^3 + 1716*a^5*b^5*c^2*d^8*x^3 + 858*a^6*b^4*c*d^9*x^3 + 286*a^7*b^3*d^10*x^3 + 3510*b^10*c^8*d^2*x^2 + 2808*a*b^9*c^7*d^3*x^2 + 2184*a^2*b^8*c^6*d^4*x^2 + 1638*a^3*b^7*c^5*d^5*x^2 + 1170*a^4*b^6*c^4*d^6*x^2 + 780*a^5*b^5*c^3*d^7*x^2 + 468*a^6*b^4*c^2*d^8*x^2 + 234*a^7*b^3*c*d^9*x^2 + 78*a^8*b^2*d^10*x^2 + 715*b^10*c^9*d*x + 585*a*b^9*c^8*d^2*x + 468*a^2*b^8*c^7*d^3*x + 364*a^3*b^7*c^6*d^4*x + 273*a^4*b^6*c^5*d^5*x + 195*a^5*b^5*c^4*d^6*x + 130*a^6*b^4*c^3*d^7*x + 78*a^7*b^3*c^2*d^8*x + 39*a^8*b^2*c*d^9*x + 13*a^9*b*d^10*x + 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)/((b*x + a)^13*b^11)","B",0
1326,1,961,0,1.392629," ","integrate((d*x+c)^10/(b*x+a)^15,x, algorithm=""giac"")","-\frac{1001 \, b^{10} d^{10} x^{10} + 8008 \, b^{10} c d^{9} x^{9} + 2002 \, a b^{9} d^{10} x^{9} + 30030 \, b^{10} c^{2} d^{8} x^{8} + 12012 \, a b^{9} c d^{9} x^{8} + 3003 \, a^{2} b^{8} d^{10} x^{8} + 68640 \, b^{10} c^{3} d^{7} x^{7} + 34320 \, a b^{9} c^{2} d^{8} x^{7} + 13728 \, a^{2} b^{8} c d^{9} x^{7} + 3432 \, a^{3} b^{7} d^{10} x^{7} + 105105 \, b^{10} c^{4} d^{6} x^{6} + 60060 \, a b^{9} c^{3} d^{7} x^{6} + 30030 \, a^{2} b^{8} c^{2} d^{8} x^{6} + 12012 \, a^{3} b^{7} c d^{9} x^{6} + 3003 \, a^{4} b^{6} d^{10} x^{6} + 112112 \, b^{10} c^{5} d^{5} x^{5} + 70070 \, a b^{9} c^{4} d^{6} x^{5} + 40040 \, a^{2} b^{8} c^{3} d^{7} x^{5} + 20020 \, a^{3} b^{7} c^{2} d^{8} x^{5} + 8008 \, a^{4} b^{6} c d^{9} x^{5} + 2002 \, a^{5} b^{5} d^{10} x^{5} + 84084 \, b^{10} c^{6} d^{4} x^{4} + 56056 \, a b^{9} c^{5} d^{5} x^{4} + 35035 \, a^{2} b^{8} c^{4} d^{6} x^{4} + 20020 \, a^{3} b^{7} c^{3} d^{7} x^{4} + 10010 \, a^{4} b^{6} c^{2} d^{8} x^{4} + 4004 \, a^{5} b^{5} c d^{9} x^{4} + 1001 \, a^{6} b^{4} d^{10} x^{4} + 43680 \, b^{10} c^{7} d^{3} x^{3} + 30576 \, a b^{9} c^{6} d^{4} x^{3} + 20384 \, a^{2} b^{8} c^{5} d^{5} x^{3} + 12740 \, a^{3} b^{7} c^{4} d^{6} x^{3} + 7280 \, a^{4} b^{6} c^{3} d^{7} x^{3} + 3640 \, a^{5} b^{5} c^{2} d^{8} x^{3} + 1456 \, a^{6} b^{4} c d^{9} x^{3} + 364 \, a^{7} b^{3} d^{10} x^{3} + 15015 \, b^{10} c^{8} d^{2} x^{2} + 10920 \, a b^{9} c^{7} d^{3} x^{2} + 7644 \, a^{2} b^{8} c^{6} d^{4} x^{2} + 5096 \, a^{3} b^{7} c^{5} d^{5} x^{2} + 3185 \, a^{4} b^{6} c^{4} d^{6} x^{2} + 1820 \, a^{5} b^{5} c^{3} d^{7} x^{2} + 910 \, a^{6} b^{4} c^{2} d^{8} x^{2} + 364 \, a^{7} b^{3} c d^{9} x^{2} + 91 \, a^{8} b^{2} d^{10} x^{2} + 3080 \, b^{10} c^{9} d x + 2310 \, a b^{9} c^{8} d^{2} x + 1680 \, a^{2} b^{8} c^{7} d^{3} x + 1176 \, a^{3} b^{7} c^{6} d^{4} x + 784 \, a^{4} b^{6} c^{5} d^{5} x + 490 \, a^{5} b^{5} c^{4} d^{6} x + 280 \, a^{6} b^{4} c^{3} d^{7} x + 140 \, a^{7} b^{3} c^{2} d^{8} x + 56 \, a^{8} b^{2} c d^{9} x + 14 \, a^{9} b d^{10} x + 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}}{4004 \, {\left(b x + a\right)}^{14} b^{11}}"," ",0,"-1/4004*(1001*b^10*d^10*x^10 + 8008*b^10*c*d^9*x^9 + 2002*a*b^9*d^10*x^9 + 30030*b^10*c^2*d^8*x^8 + 12012*a*b^9*c*d^9*x^8 + 3003*a^2*b^8*d^10*x^8 + 68640*b^10*c^3*d^7*x^7 + 34320*a*b^9*c^2*d^8*x^7 + 13728*a^2*b^8*c*d^9*x^7 + 3432*a^3*b^7*d^10*x^7 + 105105*b^10*c^4*d^6*x^6 + 60060*a*b^9*c^3*d^7*x^6 + 30030*a^2*b^8*c^2*d^8*x^6 + 12012*a^3*b^7*c*d^9*x^6 + 3003*a^4*b^6*d^10*x^6 + 112112*b^10*c^5*d^5*x^5 + 70070*a*b^9*c^4*d^6*x^5 + 40040*a^2*b^8*c^3*d^7*x^5 + 20020*a^3*b^7*c^2*d^8*x^5 + 8008*a^4*b^6*c*d^9*x^5 + 2002*a^5*b^5*d^10*x^5 + 84084*b^10*c^6*d^4*x^4 + 56056*a*b^9*c^5*d^5*x^4 + 35035*a^2*b^8*c^4*d^6*x^4 + 20020*a^3*b^7*c^3*d^7*x^4 + 10010*a^4*b^6*c^2*d^8*x^4 + 4004*a^5*b^5*c*d^9*x^4 + 1001*a^6*b^4*d^10*x^4 + 43680*b^10*c^7*d^3*x^3 + 30576*a*b^9*c^6*d^4*x^3 + 20384*a^2*b^8*c^5*d^5*x^3 + 12740*a^3*b^7*c^4*d^6*x^3 + 7280*a^4*b^6*c^3*d^7*x^3 + 3640*a^5*b^5*c^2*d^8*x^3 + 1456*a^6*b^4*c*d^9*x^3 + 364*a^7*b^3*d^10*x^3 + 15015*b^10*c^8*d^2*x^2 + 10920*a*b^9*c^7*d^3*x^2 + 7644*a^2*b^8*c^6*d^4*x^2 + 5096*a^3*b^7*c^5*d^5*x^2 + 3185*a^4*b^6*c^4*d^6*x^2 + 1820*a^5*b^5*c^3*d^7*x^2 + 910*a^6*b^4*c^2*d^8*x^2 + 364*a^7*b^3*c*d^9*x^2 + 91*a^8*b^2*d^10*x^2 + 3080*b^10*c^9*d*x + 2310*a*b^9*c^8*d^2*x + 1680*a^2*b^8*c^7*d^3*x + 1176*a^3*b^7*c^6*d^4*x + 784*a^4*b^6*c^5*d^5*x + 490*a^5*b^5*c^4*d^6*x + 280*a^6*b^4*c^3*d^7*x + 140*a^7*b^3*c^2*d^8*x + 56*a^8*b^2*c*d^9*x + 14*a^9*b*d^10*x + 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)/((b*x + a)^14*b^11)","B",0
1327,1,961,0,1.319062," ","integrate((d*x+c)^10/(b*x+a)^16,x, algorithm=""giac"")","-\frac{3003 \, b^{10} d^{10} x^{10} + 25025 \, b^{10} c d^{9} x^{9} + 5005 \, a b^{9} d^{10} x^{9} + 96525 \, b^{10} c^{2} d^{8} x^{8} + 32175 \, a b^{9} c d^{9} x^{8} + 6435 \, a^{2} b^{8} d^{10} x^{8} + 225225 \, b^{10} c^{3} d^{7} x^{7} + 96525 \, a b^{9} c^{2} d^{8} x^{7} + 32175 \, a^{2} b^{8} c d^{9} x^{7} + 6435 \, a^{3} b^{7} d^{10} x^{7} + 350350 \, b^{10} c^{4} d^{6} x^{6} + 175175 \, a b^{9} c^{3} d^{7} x^{6} + 75075 \, a^{2} b^{8} c^{2} d^{8} x^{6} + 25025 \, a^{3} b^{7} c d^{9} x^{6} + 5005 \, a^{4} b^{6} d^{10} x^{6} + 378378 \, b^{10} c^{5} d^{5} x^{5} + 210210 \, a b^{9} c^{4} d^{6} x^{5} + 105105 \, a^{2} b^{8} c^{3} d^{7} x^{5} + 45045 \, a^{3} b^{7} c^{2} d^{8} x^{5} + 15015 \, a^{4} b^{6} c d^{9} x^{5} + 3003 \, a^{5} b^{5} d^{10} x^{5} + 286650 \, b^{10} c^{6} d^{4} x^{4} + 171990 \, a b^{9} c^{5} d^{5} x^{4} + 95550 \, a^{2} b^{8} c^{4} d^{6} x^{4} + 47775 \, a^{3} b^{7} c^{3} d^{7} x^{4} + 20475 \, a^{4} b^{6} c^{2} d^{8} x^{4} + 6825 \, a^{5} b^{5} c d^{9} x^{4} + 1365 \, a^{6} b^{4} d^{10} x^{4} + 150150 \, b^{10} c^{7} d^{3} x^{3} + 95550 \, a b^{9} c^{6} d^{4} x^{3} + 57330 \, a^{2} b^{8} c^{5} d^{5} x^{3} + 31850 \, a^{3} b^{7} c^{4} d^{6} x^{3} + 15925 \, a^{4} b^{6} c^{3} d^{7} x^{3} + 6825 \, a^{5} b^{5} c^{2} d^{8} x^{3} + 2275 \, a^{6} b^{4} c d^{9} x^{3} + 455 \, a^{7} b^{3} d^{10} x^{3} + 51975 \, b^{10} c^{8} d^{2} x^{2} + 34650 \, a b^{9} c^{7} d^{3} x^{2} + 22050 \, a^{2} b^{8} c^{6} d^{4} x^{2} + 13230 \, a^{3} b^{7} c^{5} d^{5} x^{2} + 7350 \, a^{4} b^{6} c^{4} d^{6} x^{2} + 3675 \, a^{5} b^{5} c^{3} d^{7} x^{2} + 1575 \, a^{6} b^{4} c^{2} d^{8} x^{2} + 525 \, a^{7} b^{3} c d^{9} x^{2} + 105 \, a^{8} b^{2} d^{10} x^{2} + 10725 \, b^{10} c^{9} d x + 7425 \, a b^{9} c^{8} d^{2} x + 4950 \, a^{2} b^{8} c^{7} d^{3} x + 3150 \, a^{3} b^{7} c^{6} d^{4} x + 1890 \, a^{4} b^{6} c^{5} d^{5} x + 1050 \, a^{5} b^{5} c^{4} d^{6} x + 525 \, a^{6} b^{4} c^{3} d^{7} x + 225 \, a^{7} b^{3} c^{2} d^{8} x + 75 \, a^{8} b^{2} c d^{9} x + 15 \, a^{9} b d^{10} x + 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}}{15015 \, {\left(b x + a\right)}^{15} b^{11}}"," ",0,"-1/15015*(3003*b^10*d^10*x^10 + 25025*b^10*c*d^9*x^9 + 5005*a*b^9*d^10*x^9 + 96525*b^10*c^2*d^8*x^8 + 32175*a*b^9*c*d^9*x^8 + 6435*a^2*b^8*d^10*x^8 + 225225*b^10*c^3*d^7*x^7 + 96525*a*b^9*c^2*d^8*x^7 + 32175*a^2*b^8*c*d^9*x^7 + 6435*a^3*b^7*d^10*x^7 + 350350*b^10*c^4*d^6*x^6 + 175175*a*b^9*c^3*d^7*x^6 + 75075*a^2*b^8*c^2*d^8*x^6 + 25025*a^3*b^7*c*d^9*x^6 + 5005*a^4*b^6*d^10*x^6 + 378378*b^10*c^5*d^5*x^5 + 210210*a*b^9*c^4*d^6*x^5 + 105105*a^2*b^8*c^3*d^7*x^5 + 45045*a^3*b^7*c^2*d^8*x^5 + 15015*a^4*b^6*c*d^9*x^5 + 3003*a^5*b^5*d^10*x^5 + 286650*b^10*c^6*d^4*x^4 + 171990*a*b^9*c^5*d^5*x^4 + 95550*a^2*b^8*c^4*d^6*x^4 + 47775*a^3*b^7*c^3*d^7*x^4 + 20475*a^4*b^6*c^2*d^8*x^4 + 6825*a^5*b^5*c*d^9*x^4 + 1365*a^6*b^4*d^10*x^4 + 150150*b^10*c^7*d^3*x^3 + 95550*a*b^9*c^6*d^4*x^3 + 57330*a^2*b^8*c^5*d^5*x^3 + 31850*a^3*b^7*c^4*d^6*x^3 + 15925*a^4*b^6*c^3*d^7*x^3 + 6825*a^5*b^5*c^2*d^8*x^3 + 2275*a^6*b^4*c*d^9*x^3 + 455*a^7*b^3*d^10*x^3 + 51975*b^10*c^8*d^2*x^2 + 34650*a*b^9*c^7*d^3*x^2 + 22050*a^2*b^8*c^6*d^4*x^2 + 13230*a^3*b^7*c^5*d^5*x^2 + 7350*a^4*b^6*c^4*d^6*x^2 + 3675*a^5*b^5*c^3*d^7*x^2 + 1575*a^6*b^4*c^2*d^8*x^2 + 525*a^7*b^3*c*d^9*x^2 + 105*a^8*b^2*d^10*x^2 + 10725*b^10*c^9*d*x + 7425*a*b^9*c^8*d^2*x + 4950*a^2*b^8*c^7*d^3*x + 3150*a^3*b^7*c^6*d^4*x + 1890*a^4*b^6*c^5*d^5*x + 1050*a^5*b^5*c^4*d^6*x + 525*a^6*b^4*c^3*d^7*x + 225*a^7*b^3*c^2*d^8*x + 75*a^8*b^2*c*d^9*x + 15*a^9*b*d^10*x + 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)/((b*x + a)^15*b^11)","B",0
1328,1,961,0,1.311423," ","integrate((d*x+c)^10/(b*x+a)^17,x, algorithm=""giac"")","-\frac{8008 \, b^{10} d^{10} x^{10} + 68640 \, b^{10} c d^{9} x^{9} + 11440 \, a b^{9} d^{10} x^{9} + 270270 \, b^{10} c^{2} d^{8} x^{8} + 77220 \, a b^{9} c d^{9} x^{8} + 12870 \, a^{2} b^{8} d^{10} x^{8} + 640640 \, b^{10} c^{3} d^{7} x^{7} + 240240 \, a b^{9} c^{2} d^{8} x^{7} + 68640 \, a^{2} b^{8} c d^{9} x^{7} + 11440 \, a^{3} b^{7} d^{10} x^{7} + 1009008 \, b^{10} c^{4} d^{6} x^{6} + 448448 \, a b^{9} c^{3} d^{7} x^{6} + 168168 \, a^{2} b^{8} c^{2} d^{8} x^{6} + 48048 \, a^{3} b^{7} c d^{9} x^{6} + 8008 \, a^{4} b^{6} d^{10} x^{6} + 1100736 \, b^{10} c^{5} d^{5} x^{5} + 550368 \, a b^{9} c^{4} d^{6} x^{5} + 244608 \, a^{2} b^{8} c^{3} d^{7} x^{5} + 91728 \, a^{3} b^{7} c^{2} d^{8} x^{5} + 26208 \, a^{4} b^{6} c d^{9} x^{5} + 4368 \, a^{5} b^{5} d^{10} x^{5} + 840840 \, b^{10} c^{6} d^{4} x^{4} + 458640 \, a b^{9} c^{5} d^{5} x^{4} + 229320 \, a^{2} b^{8} c^{4} d^{6} x^{4} + 101920 \, a^{3} b^{7} c^{3} d^{7} x^{4} + 38220 \, a^{4} b^{6} c^{2} d^{8} x^{4} + 10920 \, a^{5} b^{5} c d^{9} x^{4} + 1820 \, a^{6} b^{4} d^{10} x^{4} + 443520 \, b^{10} c^{7} d^{3} x^{3} + 258720 \, a b^{9} c^{6} d^{4} x^{3} + 141120 \, a^{2} b^{8} c^{5} d^{5} x^{3} + 70560 \, a^{3} b^{7} c^{4} d^{6} x^{3} + 31360 \, a^{4} b^{6} c^{3} d^{7} x^{3} + 11760 \, a^{5} b^{5} c^{2} d^{8} x^{3} + 3360 \, a^{6} b^{4} c d^{9} x^{3} + 560 \, a^{7} b^{3} d^{10} x^{3} + 154440 \, b^{10} c^{8} d^{2} x^{2} + 95040 \, a b^{9} c^{7} d^{3} x^{2} + 55440 \, a^{2} b^{8} c^{6} d^{4} x^{2} + 30240 \, a^{3} b^{7} c^{5} d^{5} x^{2} + 15120 \, a^{4} b^{6} c^{4} d^{6} x^{2} + 6720 \, a^{5} b^{5} c^{3} d^{7} x^{2} + 2520 \, a^{6} b^{4} c^{2} d^{8} x^{2} + 720 \, a^{7} b^{3} c d^{9} x^{2} + 120 \, a^{8} b^{2} d^{10} x^{2} + 32032 \, b^{10} c^{9} d x + 20592 \, a b^{9} c^{8} d^{2} x + 12672 \, a^{2} b^{8} c^{7} d^{3} x + 7392 \, a^{3} b^{7} c^{6} d^{4} x + 4032 \, a^{4} b^{6} c^{5} d^{5} x + 2016 \, a^{5} b^{5} c^{4} d^{6} x + 896 \, a^{6} b^{4} c^{3} d^{7} x + 336 \, a^{7} b^{3} c^{2} d^{8} x + 96 \, a^{8} b^{2} c d^{9} x + 16 \, a^{9} b d^{10} x + 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}}{48048 \, {\left(b x + a\right)}^{16} b^{11}}"," ",0,"-1/48048*(8008*b^10*d^10*x^10 + 68640*b^10*c*d^9*x^9 + 11440*a*b^9*d^10*x^9 + 270270*b^10*c^2*d^8*x^8 + 77220*a*b^9*c*d^9*x^8 + 12870*a^2*b^8*d^10*x^8 + 640640*b^10*c^3*d^7*x^7 + 240240*a*b^9*c^2*d^8*x^7 + 68640*a^2*b^8*c*d^9*x^7 + 11440*a^3*b^7*d^10*x^7 + 1009008*b^10*c^4*d^6*x^6 + 448448*a*b^9*c^3*d^7*x^6 + 168168*a^2*b^8*c^2*d^8*x^6 + 48048*a^3*b^7*c*d^9*x^6 + 8008*a^4*b^6*d^10*x^6 + 1100736*b^10*c^5*d^5*x^5 + 550368*a*b^9*c^4*d^6*x^5 + 244608*a^2*b^8*c^3*d^7*x^5 + 91728*a^3*b^7*c^2*d^8*x^5 + 26208*a^4*b^6*c*d^9*x^5 + 4368*a^5*b^5*d^10*x^5 + 840840*b^10*c^6*d^4*x^4 + 458640*a*b^9*c^5*d^5*x^4 + 229320*a^2*b^8*c^4*d^6*x^4 + 101920*a^3*b^7*c^3*d^7*x^4 + 38220*a^4*b^6*c^2*d^8*x^4 + 10920*a^5*b^5*c*d^9*x^4 + 1820*a^6*b^4*d^10*x^4 + 443520*b^10*c^7*d^3*x^3 + 258720*a*b^9*c^6*d^4*x^3 + 141120*a^2*b^8*c^5*d^5*x^3 + 70560*a^3*b^7*c^4*d^6*x^3 + 31360*a^4*b^6*c^3*d^7*x^3 + 11760*a^5*b^5*c^2*d^8*x^3 + 3360*a^6*b^4*c*d^9*x^3 + 560*a^7*b^3*d^10*x^3 + 154440*b^10*c^8*d^2*x^2 + 95040*a*b^9*c^7*d^3*x^2 + 55440*a^2*b^8*c^6*d^4*x^2 + 30240*a^3*b^7*c^5*d^5*x^2 + 15120*a^4*b^6*c^4*d^6*x^2 + 6720*a^5*b^5*c^3*d^7*x^2 + 2520*a^6*b^4*c^2*d^8*x^2 + 720*a^7*b^3*c*d^9*x^2 + 120*a^8*b^2*d^10*x^2 + 32032*b^10*c^9*d*x + 20592*a*b^9*c^8*d^2*x + 12672*a^2*b^8*c^7*d^3*x + 7392*a^3*b^7*c^6*d^4*x + 4032*a^4*b^6*c^5*d^5*x + 2016*a^5*b^5*c^4*d^6*x + 896*a^6*b^4*c^3*d^7*x + 336*a^7*b^3*c^2*d^8*x + 96*a^8*b^2*c*d^9*x + 16*a^9*b*d^10*x + 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)/((b*x + a)^16*b^11)","B",0
1329,1,961,0,1.321639," ","integrate((d*x+c)^10/(b*x+a)^18,x, algorithm=""giac"")","-\frac{19448 \, b^{10} d^{10} x^{10} + 170170 \, b^{10} c d^{9} x^{9} + 24310 \, a b^{9} d^{10} x^{9} + 680680 \, b^{10} c^{2} d^{8} x^{8} + 170170 \, a b^{9} c d^{9} x^{8} + 24310 \, a^{2} b^{8} d^{10} x^{8} + 1633632 \, b^{10} c^{3} d^{7} x^{7} + 544544 \, a b^{9} c^{2} d^{8} x^{7} + 136136 \, a^{2} b^{8} c d^{9} x^{7} + 19448 \, a^{3} b^{7} d^{10} x^{7} + 2598960 \, b^{10} c^{4} d^{6} x^{6} + 1039584 \, a b^{9} c^{3} d^{7} x^{6} + 346528 \, a^{2} b^{8} c^{2} d^{8} x^{6} + 86632 \, a^{3} b^{7} c d^{9} x^{6} + 12376 \, a^{4} b^{6} d^{10} x^{6} + 2858856 \, b^{10} c^{5} d^{5} x^{5} + 1299480 \, a b^{9} c^{4} d^{6} x^{5} + 519792 \, a^{2} b^{8} c^{3} d^{7} x^{5} + 173264 \, a^{3} b^{7} c^{2} d^{8} x^{5} + 43316 \, a^{4} b^{6} c d^{9} x^{5} + 6188 \, a^{5} b^{5} d^{10} x^{5} + 2199120 \, b^{10} c^{6} d^{4} x^{4} + 1099560 \, a b^{9} c^{5} d^{5} x^{4} + 499800 \, a^{2} b^{8} c^{4} d^{6} x^{4} + 199920 \, a^{3} b^{7} c^{3} d^{7} x^{4} + 66640 \, a^{4} b^{6} c^{2} d^{8} x^{4} + 16660 \, a^{5} b^{5} c d^{9} x^{4} + 2380 \, a^{6} b^{4} d^{10} x^{4} + 1166880 \, b^{10} c^{7} d^{3} x^{3} + 628320 \, a b^{9} c^{6} d^{4} x^{3} + 314160 \, a^{2} b^{8} c^{5} d^{5} x^{3} + 142800 \, a^{3} b^{7} c^{4} d^{6} x^{3} + 57120 \, a^{4} b^{6} c^{3} d^{7} x^{3} + 19040 \, a^{5} b^{5} c^{2} d^{8} x^{3} + 4760 \, a^{6} b^{4} c d^{9} x^{3} + 680 \, a^{7} b^{3} d^{10} x^{3} + 408408 \, b^{10} c^{8} d^{2} x^{2} + 233376 \, a b^{9} c^{7} d^{3} x^{2} + 125664 \, a^{2} b^{8} c^{6} d^{4} x^{2} + 62832 \, a^{3} b^{7} c^{5} d^{5} x^{2} + 28560 \, a^{4} b^{6} c^{4} d^{6} x^{2} + 11424 \, a^{5} b^{5} c^{3} d^{7} x^{2} + 3808 \, a^{6} b^{4} c^{2} d^{8} x^{2} + 952 \, a^{7} b^{3} c d^{9} x^{2} + 136 \, a^{8} b^{2} d^{10} x^{2} + 85085 \, b^{10} c^{9} d x + 51051 \, a b^{9} c^{8} d^{2} x + 29172 \, a^{2} b^{8} c^{7} d^{3} x + 15708 \, a^{3} b^{7} c^{6} d^{4} x + 7854 \, a^{4} b^{6} c^{5} d^{5} x + 3570 \, a^{5} b^{5} c^{4} d^{6} x + 1428 \, a^{6} b^{4} c^{3} d^{7} x + 476 \, a^{7} b^{3} c^{2} d^{8} x + 119 \, a^{8} b^{2} c d^{9} x + 17 \, a^{9} b d^{10} x + 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}}{136136 \, {\left(b x + a\right)}^{17} b^{11}}"," ",0,"-1/136136*(19448*b^10*d^10*x^10 + 170170*b^10*c*d^9*x^9 + 24310*a*b^9*d^10*x^9 + 680680*b^10*c^2*d^8*x^8 + 170170*a*b^9*c*d^9*x^8 + 24310*a^2*b^8*d^10*x^8 + 1633632*b^10*c^3*d^7*x^7 + 544544*a*b^9*c^2*d^8*x^7 + 136136*a^2*b^8*c*d^9*x^7 + 19448*a^3*b^7*d^10*x^7 + 2598960*b^10*c^4*d^6*x^6 + 1039584*a*b^9*c^3*d^7*x^6 + 346528*a^2*b^8*c^2*d^8*x^6 + 86632*a^3*b^7*c*d^9*x^6 + 12376*a^4*b^6*d^10*x^6 + 2858856*b^10*c^5*d^5*x^5 + 1299480*a*b^9*c^4*d^6*x^5 + 519792*a^2*b^8*c^3*d^7*x^5 + 173264*a^3*b^7*c^2*d^8*x^5 + 43316*a^4*b^6*c*d^9*x^5 + 6188*a^5*b^5*d^10*x^5 + 2199120*b^10*c^6*d^4*x^4 + 1099560*a*b^9*c^5*d^5*x^4 + 499800*a^2*b^8*c^4*d^6*x^4 + 199920*a^3*b^7*c^3*d^7*x^4 + 66640*a^4*b^6*c^2*d^8*x^4 + 16660*a^5*b^5*c*d^9*x^4 + 2380*a^6*b^4*d^10*x^4 + 1166880*b^10*c^7*d^3*x^3 + 628320*a*b^9*c^6*d^4*x^3 + 314160*a^2*b^8*c^5*d^5*x^3 + 142800*a^3*b^7*c^4*d^6*x^3 + 57120*a^4*b^6*c^3*d^7*x^3 + 19040*a^5*b^5*c^2*d^8*x^3 + 4760*a^6*b^4*c*d^9*x^3 + 680*a^7*b^3*d^10*x^3 + 408408*b^10*c^8*d^2*x^2 + 233376*a*b^9*c^7*d^3*x^2 + 125664*a^2*b^8*c^6*d^4*x^2 + 62832*a^3*b^7*c^5*d^5*x^2 + 28560*a^4*b^6*c^4*d^6*x^2 + 11424*a^5*b^5*c^3*d^7*x^2 + 3808*a^6*b^4*c^2*d^8*x^2 + 952*a^7*b^3*c*d^9*x^2 + 136*a^8*b^2*d^10*x^2 + 85085*b^10*c^9*d*x + 51051*a*b^9*c^8*d^2*x + 29172*a^2*b^8*c^7*d^3*x + 15708*a^3*b^7*c^6*d^4*x + 7854*a^4*b^6*c^5*d^5*x + 3570*a^5*b^5*c^4*d^6*x + 1428*a^6*b^4*c^3*d^7*x + 476*a^7*b^3*c^2*d^8*x + 119*a^8*b^2*c*d^9*x + 17*a^9*b*d^10*x + 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)/((b*x + a)^17*b^11)","B",0
1330,1,961,0,1.402737," ","integrate((d*x+c)^10/(b*x+a)^19,x, algorithm=""giac"")","-\frac{43758 \, b^{10} d^{10} x^{10} + 388960 \, b^{10} c d^{9} x^{9} + 48620 \, a b^{9} d^{10} x^{9} + 1575288 \, b^{10} c^{2} d^{8} x^{8} + 350064 \, a b^{9} c d^{9} x^{8} + 43758 \, a^{2} b^{8} d^{10} x^{8} + 3818880 \, b^{10} c^{3} d^{7} x^{7} + 1145664 \, a b^{9} c^{2} d^{8} x^{7} + 254592 \, a^{2} b^{8} c d^{9} x^{7} + 31824 \, a^{3} b^{7} d^{10} x^{7} + 6126120 \, b^{10} c^{4} d^{6} x^{6} + 2227680 \, a b^{9} c^{3} d^{7} x^{6} + 668304 \, a^{2} b^{8} c^{2} d^{8} x^{6} + 148512 \, a^{3} b^{7} c d^{9} x^{6} + 18564 \, a^{4} b^{6} d^{10} x^{6} + 6785856 \, b^{10} c^{5} d^{5} x^{5} + 2827440 \, a b^{9} c^{4} d^{6} x^{5} + 1028160 \, a^{2} b^{8} c^{3} d^{7} x^{5} + 308448 \, a^{3} b^{7} c^{2} d^{8} x^{5} + 68544 \, a^{4} b^{6} c d^{9} x^{5} + 8568 \, a^{5} b^{5} d^{10} x^{5} + 5250960 \, b^{10} c^{6} d^{4} x^{4} + 2423520 \, a b^{9} c^{5} d^{5} x^{4} + 1009800 \, a^{2} b^{8} c^{4} d^{6} x^{4} + 367200 \, a^{3} b^{7} c^{3} d^{7} x^{4} + 110160 \, a^{4} b^{6} c^{2} d^{8} x^{4} + 24480 \, a^{5} b^{5} c d^{9} x^{4} + 3060 \, a^{6} b^{4} d^{10} x^{4} + 2800512 \, b^{10} c^{7} d^{3} x^{3} + 1400256 \, a b^{9} c^{6} d^{4} x^{3} + 646272 \, a^{2} b^{8} c^{5} d^{5} x^{3} + 269280 \, a^{3} b^{7} c^{4} d^{6} x^{3} + 97920 \, a^{4} b^{6} c^{3} d^{7} x^{3} + 29376 \, a^{5} b^{5} c^{2} d^{8} x^{3} + 6528 \, a^{6} b^{4} c d^{9} x^{3} + 816 \, a^{7} b^{3} d^{10} x^{3} + 984555 \, b^{10} c^{8} d^{2} x^{2} + 525096 \, a b^{9} c^{7} d^{3} x^{2} + 262548 \, a^{2} b^{8} c^{6} d^{4} x^{2} + 121176 \, a^{3} b^{7} c^{5} d^{5} x^{2} + 50490 \, a^{4} b^{6} c^{4} d^{6} x^{2} + 18360 \, a^{5} b^{5} c^{3} d^{7} x^{2} + 5508 \, a^{6} b^{4} c^{2} d^{8} x^{2} + 1224 \, a^{7} b^{3} c d^{9} x^{2} + 153 \, a^{8} b^{2} d^{10} x^{2} + 205920 \, b^{10} c^{9} d x + 115830 \, a b^{9} c^{8} d^{2} x + 61776 \, a^{2} b^{8} c^{7} d^{3} x + 30888 \, a^{3} b^{7} c^{6} d^{4} x + 14256 \, a^{4} b^{6} c^{5} d^{5} x + 5940 \, a^{5} b^{5} c^{4} d^{6} x + 2160 \, a^{6} b^{4} c^{3} d^{7} x + 648 \, a^{7} b^{3} c^{2} d^{8} x + 144 \, a^{8} b^{2} c d^{9} x + 18 \, a^{9} b d^{10} x + 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}}{350064 \, {\left(b x + a\right)}^{18} b^{11}}"," ",0,"-1/350064*(43758*b^10*d^10*x^10 + 388960*b^10*c*d^9*x^9 + 48620*a*b^9*d^10*x^9 + 1575288*b^10*c^2*d^8*x^8 + 350064*a*b^9*c*d^9*x^8 + 43758*a^2*b^8*d^10*x^8 + 3818880*b^10*c^3*d^7*x^7 + 1145664*a*b^9*c^2*d^8*x^7 + 254592*a^2*b^8*c*d^9*x^7 + 31824*a^3*b^7*d^10*x^7 + 6126120*b^10*c^4*d^6*x^6 + 2227680*a*b^9*c^3*d^7*x^6 + 668304*a^2*b^8*c^2*d^8*x^6 + 148512*a^3*b^7*c*d^9*x^6 + 18564*a^4*b^6*d^10*x^6 + 6785856*b^10*c^5*d^5*x^5 + 2827440*a*b^9*c^4*d^6*x^5 + 1028160*a^2*b^8*c^3*d^7*x^5 + 308448*a^3*b^7*c^2*d^8*x^5 + 68544*a^4*b^6*c*d^9*x^5 + 8568*a^5*b^5*d^10*x^5 + 5250960*b^10*c^6*d^4*x^4 + 2423520*a*b^9*c^5*d^5*x^4 + 1009800*a^2*b^8*c^4*d^6*x^4 + 367200*a^3*b^7*c^3*d^7*x^4 + 110160*a^4*b^6*c^2*d^8*x^4 + 24480*a^5*b^5*c*d^9*x^4 + 3060*a^6*b^4*d^10*x^4 + 2800512*b^10*c^7*d^3*x^3 + 1400256*a*b^9*c^6*d^4*x^3 + 646272*a^2*b^8*c^5*d^5*x^3 + 269280*a^3*b^7*c^4*d^6*x^3 + 97920*a^4*b^6*c^3*d^7*x^3 + 29376*a^5*b^5*c^2*d^8*x^3 + 6528*a^6*b^4*c*d^9*x^3 + 816*a^7*b^3*d^10*x^3 + 984555*b^10*c^8*d^2*x^2 + 525096*a*b^9*c^7*d^3*x^2 + 262548*a^2*b^8*c^6*d^4*x^2 + 121176*a^3*b^7*c^5*d^5*x^2 + 50490*a^4*b^6*c^4*d^6*x^2 + 18360*a^5*b^5*c^3*d^7*x^2 + 5508*a^6*b^4*c^2*d^8*x^2 + 1224*a^7*b^3*c*d^9*x^2 + 153*a^8*b^2*d^10*x^2 + 205920*b^10*c^9*d*x + 115830*a*b^9*c^8*d^2*x + 61776*a^2*b^8*c^7*d^3*x + 30888*a^3*b^7*c^6*d^4*x + 14256*a^4*b^6*c^5*d^5*x + 5940*a^5*b^5*c^4*d^6*x + 2160*a^6*b^4*c^3*d^7*x + 648*a^7*b^3*c^2*d^8*x + 144*a^8*b^2*c*d^9*x + 18*a^9*b*d^10*x + 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)/((b*x + a)^18*b^11)","B",0
1331,1,961,0,1.309653," ","integrate((d*x+c)^10/(b*x+a)^20,x, algorithm=""giac"")","-\frac{92378 \, b^{10} d^{10} x^{10} + 831402 \, b^{10} c d^{9} x^{9} + 92378 \, a b^{9} d^{10} x^{9} + 3401190 \, b^{10} c^{2} d^{8} x^{8} + 680238 \, a b^{9} c d^{9} x^{8} + 75582 \, a^{2} b^{8} d^{10} x^{8} + 8314020 \, b^{10} c^{3} d^{7} x^{7} + 2267460 \, a b^{9} c^{2} d^{8} x^{7} + 453492 \, a^{2} b^{8} c d^{9} x^{7} + 50388 \, a^{3} b^{7} d^{10} x^{7} + 13430340 \, b^{10} c^{4} d^{6} x^{6} + 4476780 \, a b^{9} c^{3} d^{7} x^{6} + 1220940 \, a^{2} b^{8} c^{2} d^{8} x^{6} + 244188 \, a^{3} b^{7} c d^{9} x^{6} + 27132 \, a^{4} b^{6} d^{10} x^{6} + 14965236 \, b^{10} c^{5} d^{5} x^{5} + 5755860 \, a b^{9} c^{4} d^{6} x^{5} + 1918620 \, a^{2} b^{8} c^{3} d^{7} x^{5} + 523260 \, a^{3} b^{7} c^{2} d^{8} x^{5} + 104652 \, a^{4} b^{6} c d^{9} x^{5} + 11628 \, a^{5} b^{5} d^{10} x^{5} + 11639628 \, b^{10} c^{6} d^{4} x^{4} + 4988412 \, a b^{9} c^{5} d^{5} x^{4} + 1918620 \, a^{2} b^{8} c^{4} d^{6} x^{4} + 639540 \, a^{3} b^{7} c^{3} d^{7} x^{4} + 174420 \, a^{4} b^{6} c^{2} d^{8} x^{4} + 34884 \, a^{5} b^{5} c d^{9} x^{4} + 3876 \, a^{6} b^{4} d^{10} x^{4} + 6235515 \, b^{10} c^{7} d^{3} x^{3} + 2909907 \, a b^{9} c^{6} d^{4} x^{3} + 1247103 \, a^{2} b^{8} c^{5} d^{5} x^{3} + 479655 \, a^{3} b^{7} c^{4} d^{6} x^{3} + 159885 \, a^{4} b^{6} c^{3} d^{7} x^{3} + 43605 \, a^{5} b^{5} c^{2} d^{8} x^{3} + 8721 \, a^{6} b^{4} c d^{9} x^{3} + 969 \, a^{7} b^{3} d^{10} x^{3} + 2200770 \, b^{10} c^{8} d^{2} x^{2} + 1100385 \, a b^{9} c^{7} d^{3} x^{2} + 513513 \, a^{2} b^{8} c^{6} d^{4} x^{2} + 220077 \, a^{3} b^{7} c^{5} d^{5} x^{2} + 84645 \, a^{4} b^{6} c^{4} d^{6} x^{2} + 28215 \, a^{5} b^{5} c^{3} d^{7} x^{2} + 7695 \, a^{6} b^{4} c^{2} d^{8} x^{2} + 1539 \, a^{7} b^{3} c d^{9} x^{2} + 171 \, a^{8} b^{2} d^{10} x^{2} + 461890 \, b^{10} c^{9} d x + 244530 \, a b^{9} c^{8} d^{2} x + 122265 \, a^{2} b^{8} c^{7} d^{3} x + 57057 \, a^{3} b^{7} c^{6} d^{4} x + 24453 \, a^{4} b^{6} c^{5} d^{5} x + 9405 \, a^{5} b^{5} c^{4} d^{6} x + 3135 \, a^{6} b^{4} c^{3} d^{7} x + 855 \, a^{7} b^{3} c^{2} d^{8} x + 171 \, a^{8} b^{2} c d^{9} x + 19 \, a^{9} b d^{10} x + 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}}{831402 \, {\left(b x + a\right)}^{19} b^{11}}"," ",0,"-1/831402*(92378*b^10*d^10*x^10 + 831402*b^10*c*d^9*x^9 + 92378*a*b^9*d^10*x^9 + 3401190*b^10*c^2*d^8*x^8 + 680238*a*b^9*c*d^9*x^8 + 75582*a^2*b^8*d^10*x^8 + 8314020*b^10*c^3*d^7*x^7 + 2267460*a*b^9*c^2*d^8*x^7 + 453492*a^2*b^8*c*d^9*x^7 + 50388*a^3*b^7*d^10*x^7 + 13430340*b^10*c^4*d^6*x^6 + 4476780*a*b^9*c^3*d^7*x^6 + 1220940*a^2*b^8*c^2*d^8*x^6 + 244188*a^3*b^7*c*d^9*x^6 + 27132*a^4*b^6*d^10*x^6 + 14965236*b^10*c^5*d^5*x^5 + 5755860*a*b^9*c^4*d^6*x^5 + 1918620*a^2*b^8*c^3*d^7*x^5 + 523260*a^3*b^7*c^2*d^8*x^5 + 104652*a^4*b^6*c*d^9*x^5 + 11628*a^5*b^5*d^10*x^5 + 11639628*b^10*c^6*d^4*x^4 + 4988412*a*b^9*c^5*d^5*x^4 + 1918620*a^2*b^8*c^4*d^6*x^4 + 639540*a^3*b^7*c^3*d^7*x^4 + 174420*a^4*b^6*c^2*d^8*x^4 + 34884*a^5*b^5*c*d^9*x^4 + 3876*a^6*b^4*d^10*x^4 + 6235515*b^10*c^7*d^3*x^3 + 2909907*a*b^9*c^6*d^4*x^3 + 1247103*a^2*b^8*c^5*d^5*x^3 + 479655*a^3*b^7*c^4*d^6*x^3 + 159885*a^4*b^6*c^3*d^7*x^3 + 43605*a^5*b^5*c^2*d^8*x^3 + 8721*a^6*b^4*c*d^9*x^3 + 969*a^7*b^3*d^10*x^3 + 2200770*b^10*c^8*d^2*x^2 + 1100385*a*b^9*c^7*d^3*x^2 + 513513*a^2*b^8*c^6*d^4*x^2 + 220077*a^3*b^7*c^5*d^5*x^2 + 84645*a^4*b^6*c^4*d^6*x^2 + 28215*a^5*b^5*c^3*d^7*x^2 + 7695*a^6*b^4*c^2*d^8*x^2 + 1539*a^7*b^3*c*d^9*x^2 + 171*a^8*b^2*d^10*x^2 + 461890*b^10*c^9*d*x + 244530*a*b^9*c^8*d^2*x + 122265*a^2*b^8*c^7*d^3*x + 57057*a^3*b^7*c^6*d^4*x + 24453*a^4*b^6*c^5*d^5*x + 9405*a^5*b^5*c^4*d^6*x + 3135*a^6*b^4*c^3*d^7*x + 855*a^7*b^3*c^2*d^8*x + 171*a^8*b^2*c*d^9*x + 19*a^9*b*d^10*x + 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)/((b*x + a)^19*b^11)","B",0
1332,1,961,0,1.308332," ","integrate((d*x+c)^10/(b*x+a)^21,x, algorithm=""giac"")","-\frac{184756 \, b^{10} d^{10} x^{10} + 1679600 \, b^{10} c d^{9} x^{9} + 167960 \, a b^{9} d^{10} x^{9} + 6928350 \, b^{10} c^{2} d^{8} x^{8} + 1259700 \, a b^{9} c d^{9} x^{8} + 125970 \, a^{2} b^{8} d^{10} x^{8} + 17054400 \, b^{10} c^{3} d^{7} x^{7} + 4263600 \, a b^{9} c^{2} d^{8} x^{7} + 775200 \, a^{2} b^{8} c d^{9} x^{7} + 77520 \, a^{3} b^{7} d^{10} x^{7} + 27713400 \, b^{10} c^{4} d^{6} x^{6} + 8527200 \, a b^{9} c^{3} d^{7} x^{6} + 2131800 \, a^{2} b^{8} c^{2} d^{8} x^{6} + 387600 \, a^{3} b^{7} c d^{9} x^{6} + 38760 \, a^{4} b^{6} d^{10} x^{6} + 31039008 \, b^{10} c^{5} d^{5} x^{5} + 11085360 \, a b^{9} c^{4} d^{6} x^{5} + 3410880 \, a^{2} b^{8} c^{3} d^{7} x^{5} + 852720 \, a^{3} b^{7} c^{2} d^{8} x^{5} + 155040 \, a^{4} b^{6} c d^{9} x^{5} + 15504 \, a^{5} b^{5} d^{10} x^{5} + 24249225 \, b^{10} c^{6} d^{4} x^{4} + 9699690 \, a b^{9} c^{5} d^{5} x^{4} + 3464175 \, a^{2} b^{8} c^{4} d^{6} x^{4} + 1065900 \, a^{3} b^{7} c^{3} d^{7} x^{4} + 266475 \, a^{4} b^{6} c^{2} d^{8} x^{4} + 48450 \, a^{5} b^{5} c d^{9} x^{4} + 4845 \, a^{6} b^{4} d^{10} x^{4} + 13041600 \, b^{10} c^{7} d^{3} x^{3} + 5705700 \, a b^{9} c^{6} d^{4} x^{3} + 2282280 \, a^{2} b^{8} c^{5} d^{5} x^{3} + 815100 \, a^{3} b^{7} c^{4} d^{6} x^{3} + 250800 \, a^{4} b^{6} c^{3} d^{7} x^{3} + 62700 \, a^{5} b^{5} c^{2} d^{8} x^{3} + 11400 \, a^{6} b^{4} c d^{9} x^{3} + 1140 \, a^{7} b^{3} d^{10} x^{3} + 4618900 \, b^{10} c^{8} d^{2} x^{2} + 2173600 \, a b^{9} c^{7} d^{3} x^{2} + 950950 \, a^{2} b^{8} c^{6} d^{4} x^{2} + 380380 \, a^{3} b^{7} c^{5} d^{5} x^{2} + 135850 \, a^{4} b^{6} c^{4} d^{6} x^{2} + 41800 \, a^{5} b^{5} c^{3} d^{7} x^{2} + 10450 \, a^{6} b^{4} c^{2} d^{8} x^{2} + 1900 \, a^{7} b^{3} c d^{9} x^{2} + 190 \, a^{8} b^{2} d^{10} x^{2} + 972400 \, b^{10} c^{9} d x + 486200 \, a b^{9} c^{8} d^{2} x + 228800 \, a^{2} b^{8} c^{7} d^{3} x + 100100 \, a^{3} b^{7} c^{6} d^{4} x + 40040 \, a^{4} b^{6} c^{5} d^{5} x + 14300 \, a^{5} b^{5} c^{4} d^{6} x + 4400 \, a^{6} b^{4} c^{3} d^{7} x + 1100 \, a^{7} b^{3} c^{2} d^{8} x + 200 \, a^{8} b^{2} c d^{9} x + 20 \, a^{9} b d^{10} x + 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}}{1847560 \, {\left(b x + a\right)}^{20} b^{11}}"," ",0,"-1/1847560*(184756*b^10*d^10*x^10 + 1679600*b^10*c*d^9*x^9 + 167960*a*b^9*d^10*x^9 + 6928350*b^10*c^2*d^8*x^8 + 1259700*a*b^9*c*d^9*x^8 + 125970*a^2*b^8*d^10*x^8 + 17054400*b^10*c^3*d^7*x^7 + 4263600*a*b^9*c^2*d^8*x^7 + 775200*a^2*b^8*c*d^9*x^7 + 77520*a^3*b^7*d^10*x^7 + 27713400*b^10*c^4*d^6*x^6 + 8527200*a*b^9*c^3*d^7*x^6 + 2131800*a^2*b^8*c^2*d^8*x^6 + 387600*a^3*b^7*c*d^9*x^6 + 38760*a^4*b^6*d^10*x^6 + 31039008*b^10*c^5*d^5*x^5 + 11085360*a*b^9*c^4*d^6*x^5 + 3410880*a^2*b^8*c^3*d^7*x^5 + 852720*a^3*b^7*c^2*d^8*x^5 + 155040*a^4*b^6*c*d^9*x^5 + 15504*a^5*b^5*d^10*x^5 + 24249225*b^10*c^6*d^4*x^4 + 9699690*a*b^9*c^5*d^5*x^4 + 3464175*a^2*b^8*c^4*d^6*x^4 + 1065900*a^3*b^7*c^3*d^7*x^4 + 266475*a^4*b^6*c^2*d^8*x^4 + 48450*a^5*b^5*c*d^9*x^4 + 4845*a^6*b^4*d^10*x^4 + 13041600*b^10*c^7*d^3*x^3 + 5705700*a*b^9*c^6*d^4*x^3 + 2282280*a^2*b^8*c^5*d^5*x^3 + 815100*a^3*b^7*c^4*d^6*x^3 + 250800*a^4*b^6*c^3*d^7*x^3 + 62700*a^5*b^5*c^2*d^8*x^3 + 11400*a^6*b^4*c*d^9*x^3 + 1140*a^7*b^3*d^10*x^3 + 4618900*b^10*c^8*d^2*x^2 + 2173600*a*b^9*c^7*d^3*x^2 + 950950*a^2*b^8*c^6*d^4*x^2 + 380380*a^3*b^7*c^5*d^5*x^2 + 135850*a^4*b^6*c^4*d^6*x^2 + 41800*a^5*b^5*c^3*d^7*x^2 + 10450*a^6*b^4*c^2*d^8*x^2 + 1900*a^7*b^3*c*d^9*x^2 + 190*a^8*b^2*d^10*x^2 + 972400*b^10*c^9*d*x + 486200*a*b^9*c^8*d^2*x + 228800*a^2*b^8*c^7*d^3*x + 100100*a^3*b^7*c^6*d^4*x + 40040*a^4*b^6*c^5*d^5*x + 14300*a^5*b^5*c^4*d^6*x + 4400*a^6*b^4*c^3*d^7*x + 1100*a^7*b^3*c^2*d^8*x + 200*a^8*b^2*c*d^9*x + 20*a^9*b*d^10*x + 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)/((b*x + a)^20*b^11)","B",0
1333,1,961,0,1.301412," ","integrate((d*x+c)^10/(b*x+a)^22,x, algorithm=""giac"")","-\frac{352716 \, b^{10} d^{10} x^{10} + 3233230 \, b^{10} c d^{9} x^{9} + 293930 \, a b^{9} d^{10} x^{9} + 13430340 \, b^{10} c^{2} d^{8} x^{8} + 2238390 \, a b^{9} c d^{9} x^{8} + 203490 \, a^{2} b^{8} d^{10} x^{8} + 33256080 \, b^{10} c^{3} d^{7} x^{7} + 7674480 \, a b^{9} c^{2} d^{8} x^{7} + 1279080 \, a^{2} b^{8} c d^{9} x^{7} + 116280 \, a^{3} b^{7} d^{10} x^{7} + 54318264 \, b^{10} c^{4} d^{6} x^{6} + 15519504 \, a b^{9} c^{3} d^{7} x^{6} + 3581424 \, a^{2} b^{8} c^{2} d^{8} x^{6} + 596904 \, a^{3} b^{7} c d^{9} x^{6} + 54264 \, a^{4} b^{6} d^{10} x^{6} + 61108047 \, b^{10} c^{5} d^{5} x^{5} + 20369349 \, a b^{9} c^{4} d^{6} x^{5} + 5819814 \, a^{2} b^{8} c^{3} d^{7} x^{5} + 1343034 \, a^{3} b^{7} c^{2} d^{8} x^{5} + 223839 \, a^{4} b^{6} c d^{9} x^{5} + 20349 \, a^{5} b^{5} d^{10} x^{5} + 47927880 \, b^{10} c^{6} d^{4} x^{4} + 17972955 \, a b^{9} c^{5} d^{5} x^{4} + 5990985 \, a^{2} b^{8} c^{4} d^{6} x^{4} + 1711710 \, a^{3} b^{7} c^{3} d^{7} x^{4} + 395010 \, a^{4} b^{6} c^{2} d^{8} x^{4} + 65835 \, a^{5} b^{5} c d^{9} x^{4} + 5985 \, a^{6} b^{4} d^{10} x^{4} + 25865840 \, b^{10} c^{7} d^{3} x^{3} + 10650640 \, a b^{9} c^{6} d^{4} x^{3} + 3993990 \, a^{2} b^{8} c^{5} d^{5} x^{3} + 1331330 \, a^{3} b^{7} c^{4} d^{6} x^{3} + 380380 \, a^{4} b^{6} c^{3} d^{7} x^{3} + 87780 \, a^{5} b^{5} c^{2} d^{8} x^{3} + 14630 \, a^{6} b^{4} c d^{9} x^{3} + 1330 \, a^{7} b^{3} d^{10} x^{3} + 9189180 \, b^{10} c^{8} d^{2} x^{2} + 4084080 \, a b^{9} c^{7} d^{3} x^{2} + 1681680 \, a^{2} b^{8} c^{6} d^{4} x^{2} + 630630 \, a^{3} b^{7} c^{5} d^{5} x^{2} + 210210 \, a^{4} b^{6} c^{4} d^{6} x^{2} + 60060 \, a^{5} b^{5} c^{3} d^{7} x^{2} + 13860 \, a^{6} b^{4} c^{2} d^{8} x^{2} + 2310 \, a^{7} b^{3} c d^{9} x^{2} + 210 \, a^{8} b^{2} d^{10} x^{2} + 1939938 \, b^{10} c^{9} d x + 918918 \, a b^{9} c^{8} d^{2} x + 408408 \, a^{2} b^{8} c^{7} d^{3} x + 168168 \, a^{3} b^{7} c^{6} d^{4} x + 63063 \, a^{4} b^{6} c^{5} d^{5} x + 21021 \, a^{5} b^{5} c^{4} d^{6} x + 6006 \, a^{6} b^{4} c^{3} d^{7} x + 1386 \, a^{7} b^{3} c^{2} d^{8} x + 231 \, a^{8} b^{2} c d^{9} x + 21 \, a^{9} b d^{10} x + 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}}{3879876 \, {\left(b x + a\right)}^{21} b^{11}}"," ",0,"-1/3879876*(352716*b^10*d^10*x^10 + 3233230*b^10*c*d^9*x^9 + 293930*a*b^9*d^10*x^9 + 13430340*b^10*c^2*d^8*x^8 + 2238390*a*b^9*c*d^9*x^8 + 203490*a^2*b^8*d^10*x^8 + 33256080*b^10*c^3*d^7*x^7 + 7674480*a*b^9*c^2*d^8*x^7 + 1279080*a^2*b^8*c*d^9*x^7 + 116280*a^3*b^7*d^10*x^7 + 54318264*b^10*c^4*d^6*x^6 + 15519504*a*b^9*c^3*d^7*x^6 + 3581424*a^2*b^8*c^2*d^8*x^6 + 596904*a^3*b^7*c*d^9*x^6 + 54264*a^4*b^6*d^10*x^6 + 61108047*b^10*c^5*d^5*x^5 + 20369349*a*b^9*c^4*d^6*x^5 + 5819814*a^2*b^8*c^3*d^7*x^5 + 1343034*a^3*b^7*c^2*d^8*x^5 + 223839*a^4*b^6*c*d^9*x^5 + 20349*a^5*b^5*d^10*x^5 + 47927880*b^10*c^6*d^4*x^4 + 17972955*a*b^9*c^5*d^5*x^4 + 5990985*a^2*b^8*c^4*d^6*x^4 + 1711710*a^3*b^7*c^3*d^7*x^4 + 395010*a^4*b^6*c^2*d^8*x^4 + 65835*a^5*b^5*c*d^9*x^4 + 5985*a^6*b^4*d^10*x^4 + 25865840*b^10*c^7*d^3*x^3 + 10650640*a*b^9*c^6*d^4*x^3 + 3993990*a^2*b^8*c^5*d^5*x^3 + 1331330*a^3*b^7*c^4*d^6*x^3 + 380380*a^4*b^6*c^3*d^7*x^3 + 87780*a^5*b^5*c^2*d^8*x^3 + 14630*a^6*b^4*c*d^9*x^3 + 1330*a^7*b^3*d^10*x^3 + 9189180*b^10*c^8*d^2*x^2 + 4084080*a*b^9*c^7*d^3*x^2 + 1681680*a^2*b^8*c^6*d^4*x^2 + 630630*a^3*b^7*c^5*d^5*x^2 + 210210*a^4*b^6*c^4*d^6*x^2 + 60060*a^5*b^5*c^3*d^7*x^2 + 13860*a^6*b^4*c^2*d^8*x^2 + 2310*a^7*b^3*c*d^9*x^2 + 210*a^8*b^2*d^10*x^2 + 1939938*b^10*c^9*d*x + 918918*a*b^9*c^8*d^2*x + 408408*a^2*b^8*c^7*d^3*x + 168168*a^3*b^7*c^6*d^4*x + 63063*a^4*b^6*c^5*d^5*x + 21021*a^5*b^5*c^4*d^6*x + 6006*a^6*b^4*c^3*d^7*x + 1386*a^7*b^3*c^2*d^8*x + 231*a^8*b^2*c*d^9*x + 21*a^9*b*d^10*x + 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)/((b*x + a)^21*b^11)","B",0
1334,1,273,0,1.259862," ","integrate((b*x+a)^5/(d*x+c),x, algorithm=""giac"")","\frac{12 \, b^{5} d^{4} x^{5} - 15 \, b^{5} c d^{3} x^{4} + 75 \, a b^{4} d^{4} x^{4} + 20 \, b^{5} c^{2} d^{2} x^{3} - 100 \, a b^{4} c d^{3} x^{3} + 200 \, a^{2} b^{3} d^{4} x^{3} - 30 \, b^{5} c^{3} d x^{2} + 150 \, a b^{4} c^{2} d^{2} x^{2} - 300 \, a^{2} b^{3} c d^{3} x^{2} + 300 \, a^{3} b^{2} d^{4} x^{2} + 60 \, b^{5} c^{4} x - 300 \, a b^{4} c^{3} d x + 600 \, a^{2} b^{3} c^{2} d^{2} x - 600 \, a^{3} b^{2} c d^{3} x + 300 \, a^{4} b d^{4} x}{60 \, d^{5}} - \frac{{\left(b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}\right)} \log\left({\left| d x + c \right|}\right)}{d^{6}}"," ",0,"1/60*(12*b^5*d^4*x^5 - 15*b^5*c*d^3*x^4 + 75*a*b^4*d^4*x^4 + 20*b^5*c^2*d^2*x^3 - 100*a*b^4*c*d^3*x^3 + 200*a^2*b^3*d^4*x^3 - 30*b^5*c^3*d*x^2 + 150*a*b^4*c^2*d^2*x^2 - 300*a^2*b^3*c*d^3*x^2 + 300*a^3*b^2*d^4*x^2 + 60*b^5*c^4*x - 300*a*b^4*c^3*d*x + 600*a^2*b^3*c^2*d^2*x - 600*a^3*b^2*c*d^3*x + 300*a^4*b*d^4*x)/d^5 - (b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5)*log(abs(d*x + c))/d^6","B",0
1335,1,184,0,1.228456," ","integrate((b*x+a)^4/(d*x+c),x, algorithm=""giac"")","\frac{3 \, b^{4} d^{3} x^{4} - 4 \, b^{4} c d^{2} x^{3} + 16 \, a b^{3} d^{3} x^{3} + 6 \, b^{4} c^{2} d x^{2} - 24 \, a b^{3} c d^{2} x^{2} + 36 \, a^{2} b^{2} d^{3} x^{2} - 12 \, b^{4} c^{3} x + 48 \, a b^{3} c^{2} d x - 72 \, a^{2} b^{2} c d^{2} x + 48 \, a^{3} b d^{3} x}{12 \, d^{4}} + \frac{{\left(b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}\right)} \log\left({\left| d x + c \right|}\right)}{d^{5}}"," ",0,"1/12*(3*b^4*d^3*x^4 - 4*b^4*c*d^2*x^3 + 16*a*b^3*d^3*x^3 + 6*b^4*c^2*d*x^2 - 24*a*b^3*c*d^2*x^2 + 36*a^2*b^2*d^3*x^2 - 12*b^4*c^3*x + 48*a*b^3*c^2*d*x - 72*a^2*b^2*c*d^2*x + 48*a^3*b*d^3*x)/d^4 + (b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)*log(abs(d*x + c))/d^5","A",0
1336,1,116,0,1.200181," ","integrate((b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\frac{2 \, b^{3} d^{2} x^{3} - 3 \, b^{3} c d x^{2} + 9 \, a b^{2} d^{2} x^{2} + 6 \, b^{3} c^{2} x - 18 \, a b^{2} c d x + 18 \, a^{2} b d^{2} x}{6 \, d^{3}} - \frac{{\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \log\left({\left| d x + c \right|}\right)}{d^{4}}"," ",0,"1/6*(2*b^3*d^2*x^3 - 3*b^3*c*d*x^2 + 9*a*b^2*d^2*x^2 + 6*b^3*c^2*x - 18*a*b^2*c*d*x + 18*a^2*b*d^2*x)/d^3 - (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*log(abs(d*x + c))/d^4","A",0
1337,1,60,0,1.209646," ","integrate((b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\frac{b^{2} d x^{2} - 2 \, b^{2} c x + 4 \, a b d x}{2 \, d^{2}} + \frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left({\left| d x + c \right|}\right)}{d^{3}}"," ",0,"1/2*(b^2*d*x^2 - 2*b^2*c*x + 4*a*b*d*x)/d^2 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(abs(d*x + c))/d^3","A",0
1338,1,27,0,1.199849," ","integrate((b*x+a)/(d*x+c),x, algorithm=""giac"")","\frac{b x}{d} - \frac{{\left(b c - a d\right)} \log\left({\left| d x + c \right|}\right)}{d^{2}}"," ",0,"b*x/d - (b*c - a*d)*log(abs(d*x + c))/d^2","A",0
1339,1,11,0,1.261258," ","integrate(1/(d*x+c),x, algorithm=""giac"")","\frac{\log\left({\left| d x + c \right|}\right)}{d}"," ",0,"log(abs(d*x + c))/d","A",0
1340,1,46,0,1.242545," ","integrate(1/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\frac{b \log\left({\left| b x + a \right|}\right)}{b^{2} c - a b d} - \frac{d \log\left({\left| d x + c \right|}\right)}{b c d - a d^{2}}"," ",0,"b*log(abs(b*x + a))/(b^2*c - a*b*d) - d*log(abs(d*x + c))/(b*c*d - a*d^2)","A",0
1341,1,78,0,1.316345," ","integrate(1/(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\frac{b d \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}} - \frac{b}{{\left(b^{2} c - a b d\right)} {\left(b x + a\right)}}"," ",0,"b*d*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2) - b/((b^2*c - a*b*d)*(b*x + a))","A",0
1342,1,165,0,1.294123," ","integrate(1/(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\frac{b d^{2} \log\left({\left| b x + a \right|}\right)}{b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}} - \frac{d^{3} \log\left({\left| d x + c \right|}\right)}{b^{3} c^{3} d - 3 \, a b^{2} c^{2} d^{2} + 3 \, a^{2} b c d^{3} - a^{3} d^{4}} - \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 c - a d\right)}^{3} {\left(b x + a\right)}^{2}}"," ",0,"b*d^2*log(abs(b*x + a))/(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3) - d^3*log(abs(d*x + c))/(b^3*c^3*d - 3*a*b^2*c^2*d^2 + 3*a^2*b*c*d^3 - a^3*d^4) - 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)/((b*c - a*d)^3*(b*x + a)^2)","B",0
1343,1,339,0,1.266582," ","integrate((b*x+a)^5/(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(3 \, b^{5} - \frac{20 \, {\left(b^{5} c d - a b^{4} d^{2}\right)}}{{\left(d x + c\right)} d} + \frac{60 \, {\left(b^{5} c^{2} d^{2} - 2 \, a b^{4} c d^{3} + a^{2} b^{3} d^{4}\right)}}{{\left(d x + c\right)}^{2} d^{2}} - \frac{120 \, {\left(b^{5} c^{3} d^{3} - 3 \, a b^{4} c^{2} d^{4} + 3 \, a^{2} b^{3} c d^{5} - a^{3} b^{2} d^{6}\right)}}{{\left(d x + c\right)}^{3} d^{3}}\right)} {\left(d x + c\right)}^{4}}{12 \, d^{6}} - \frac{5 \, {\left(b^{5} c^{4} - 4 \, a b^{4} c^{3} d + 6 \, a^{2} b^{3} c^{2} d^{2} - 4 \, a^{3} b^{2} c d^{3} + a^{4} b d^{4}\right)} \log\left(\frac{{\left| d x + c \right|}}{{\left(d x + c\right)}^{2} {\left| d \right|}}\right)}{d^{6}} + \frac{\frac{b^{5} c^{5} d^{4}}{d x + c} - \frac{5 \, a b^{4} c^{4} d^{5}}{d x + c} + \frac{10 \, a^{2} b^{3} c^{3} d^{6}}{d x + c} - \frac{10 \, a^{3} b^{2} c^{2} d^{7}}{d x + c} + \frac{5 \, a^{4} b c d^{8}}{d x + c} - \frac{a^{5} d^{9}}{d x + c}}{d^{10}}"," ",0,"1/12*(3*b^5 - 20*(b^5*c*d - a*b^4*d^2)/((d*x + c)*d) + 60*(b^5*c^2*d^2 - 2*a*b^4*c*d^3 + a^2*b^3*d^4)/((d*x + c)^2*d^2) - 120*(b^5*c^3*d^3 - 3*a*b^4*c^2*d^4 + 3*a^2*b^3*c*d^5 - a^3*b^2*d^6)/((d*x + c)^3*d^3))*(d*x + c)^4/d^6 - 5*(b^5*c^4 - 4*a*b^4*c^3*d + 6*a^2*b^3*c^2*d^2 - 4*a^3*b^2*c*d^3 + a^4*b*d^4)*log(abs(d*x + c)/((d*x + c)^2*abs(d)))/d^6 + (b^5*c^5*d^4/(d*x + c) - 5*a*b^4*c^4*d^5/(d*x + c) + 10*a^2*b^3*c^3*d^6/(d*x + c) - 10*a^3*b^2*c^2*d^7/(d*x + c) + 5*a^4*b*c*d^8/(d*x + c) - a^5*d^9/(d*x + c))/d^10","B",0
1344,1,245,0,1.265095," ","integrate((b*x+a)^4/(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(b^{4} - \frac{6 \, {\left(b^{4} c d - a b^{3} d^{2}\right)}}{{\left(d x + c\right)} d} + \frac{18 \, {\left(b^{4} c^{2} d^{2} - 2 \, a b^{3} c d^{3} + a^{2} b^{2} d^{4}\right)}}{{\left(d x + c\right)}^{2} d^{2}}\right)} {\left(d x + c\right)}^{3}}{3 \, d^{5}} + \frac{4 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} \log\left(\frac{{\left| d x + c \right|}}{{\left(d x + c\right)}^{2} {\left| d \right|}}\right)}{d^{5}} - \frac{\frac{b^{4} c^{4} d^{3}}{d x + c} - \frac{4 \, a b^{3} c^{3} d^{4}}{d x + c} + \frac{6 \, a^{2} b^{2} c^{2} d^{5}}{d x + c} - \frac{4 \, a^{3} b c d^{6}}{d x + c} + \frac{a^{4} d^{7}}{d x + c}}{d^{8}}"," ",0,"1/3*(b^4 - 6*(b^4*c*d - a*b^3*d^2)/((d*x + c)*d) + 18*(b^4*c^2*d^2 - 2*a*b^3*c*d^3 + a^2*b^2*d^4)/((d*x + c)^2*d^2))*(d*x + c)^3/d^5 + 4*(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3)*log(abs(d*x + c)/((d*x + c)^2*abs(d)))/d^5 - (b^4*c^4*d^3/(d*x + c) - 4*a*b^3*c^3*d^4/(d*x + c) + 6*a^2*b^2*c^2*d^5/(d*x + c) - 4*a^3*b*c*d^6/(d*x + c) + a^4*d^7/(d*x + c))/d^8","B",0
1345,1,166,0,1.263598," ","integrate((b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(b^{3} - \frac{6 \, {\left(b^{3} c d - a b^{2} d^{2}\right)}}{{\left(d x + c\right)} d}\right)} {\left(d x + c\right)}^{2}}{2 \, d^{4}} - \frac{3 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} \log\left(\frac{{\left| d x + c \right|}}{{\left(d x + c\right)}^{2} {\left| d \right|}}\right)}{d^{4}} + \frac{\frac{b^{3} c^{3} d^{2}}{d x + c} - \frac{3 \, a b^{2} c^{2} d^{3}}{d x + c} + \frac{3 \, a^{2} b c d^{4}}{d x + c} - \frac{a^{3} d^{5}}{d x + c}}{d^{6}}"," ",0,"1/2*(b^3 - 6*(b^3*c*d - a*b^2*d^2)/((d*x + c)*d))*(d*x + c)^2/d^4 - 3*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*log(abs(d*x + c)/((d*x + c)^2*abs(d)))/d^4 + (b^3*c^3*d^2/(d*x + c) - 3*a*b^2*c^2*d^3/(d*x + c) + 3*a^2*b*c*d^4/(d*x + c) - a^3*d^5/(d*x + c))/d^6","B",0
1346,1,98,0,1.246328," ","integrate((b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(d x + c\right)} b^{2}}{d^{3}} + \frac{2 \, {\left(b^{2} c - a b d\right)} \log\left(\frac{{\left| d x + c \right|}}{{\left(d x + c\right)}^{2} {\left| d \right|}}\right)}{d^{3}} - \frac{\frac{b^{2} c^{2} d}{d x + c} - \frac{2 \, a b c d^{2}}{d x + c} + \frac{a^{2} d^{3}}{d x + c}}{d^{4}}"," ",0,"(d*x + c)*b^2/d^3 + 2*(b^2*c - a*b*d)*log(abs(d*x + c)/((d*x + c)^2*abs(d)))/d^3 - (b^2*c^2*d/(d*x + c) - 2*a*b*c*d^2/(d*x + c) + a^2*d^3/(d*x + c))/d^4","A",0
1347,1,57,0,1.261920," ","integrate((b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","-\frac{b {\left(\frac{\log\left(\frac{{\left| d x + c \right|}}{{\left(d x + c\right)}^{2} {\left| d \right|}}\right)}{d} - \frac{c}{{\left(d x + c\right)} d}\right)}}{d} - \frac{a}{{\left(d x + c\right)} d}"," ",0,"-b*(log(abs(d*x + c)/((d*x + c)^2*abs(d)))/d - c/((d*x + c)*d))/d - a/((d*x + c)*d)","A",0
1348,1,12,0,1.229116," ","integrate(1/(d*x+c)^2,x, algorithm=""giac"")","-\frac{1}{{\left(d x + c\right)} d}"," ",0,"-1/((d*x + c)*d)","A",0
1349,1,77,0,1.342017," ","integrate(1/(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\frac{b d \log\left({\left| b - \frac{b c}{d x + c} + \frac{a d}{d x + c} \right|}\right)}{b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}} + \frac{d}{{\left(b c d - a d^{2}\right)} {\left(d x + c\right)}}"," ",0,"b*d*log(abs(b - b*c/(d*x + c) + a*d/(d*x + c)))/(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3) + d/((b*c*d - a*d^2)*(d*x + c))","A",0
1350,1,153,0,1.206614," ","integrate(1/(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\frac{2 \, b^{2} d \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}} - \frac{b^{3}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} {\left(b x + a\right)}} + \frac{b d^{2}}{{\left(b c - a d\right)}^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}"," ",0,"2*b^2*d*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3) - b^3/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*(b*x + a)) + b*d^2/((b*c - a*d)^3*(b*c/(b*x + a) - a*d/(b*x + a) + d))","A",0
1351,1,216,0,1.346653," ","integrate(1/(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\frac{3 \, b d^{3} \log\left({\left| b - \frac{b c}{d x + c} + \frac{a d}{d x + c} \right|}\right)}{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}} + \frac{d^{5}}{{\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)} {\left(d x + c\right)}} + \frac{5 \, b^{3} d^{2} - \frac{6 \, {\left(b^{3} c d^{3} - a b^{2} d^{4}\right)}}{{\left(d x + c\right)} d}}{2 \, {\left(b c - a d\right)}^{4} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}^{2}}"," ",0,"3*b*d^3*log(abs(b - b*c/(d*x + c) + a*d/(d*x + c)))/(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) + d^5/((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)*(d*x + c)) + 1/2*(5*b^3*d^2 - 6*(b^3*c*d^3 - a*b^2*d^4)/((d*x + c)*d))/((b*c - a*d)^4*(b - b*c/(d*x + c) + a*d/(d*x + c))^2)","B",0
1352,1,362,0,1.276228," ","integrate((b*x+a)^6/(d*x+c)^3,x, algorithm=""giac"")","\frac{15 \, {\left(b^{6} c^{4} - 4 \, a b^{5} c^{3} d + 6 \, a^{2} b^{4} c^{2} d^{2} - 4 \, a^{3} b^{3} c d^{3} + a^{4} b^{2} d^{4}\right)} \log\left({\left| d x + c \right|}\right)}{d^{7}} + \frac{11 \, b^{6} c^{6} - 54 \, a b^{5} c^{5} d + 105 \, a^{2} b^{4} c^{4} d^{2} - 100 \, a^{3} b^{3} c^{3} d^{3} + 45 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} - a^{6} d^{6} + 12 \, {\left(b^{6} c^{5} d - 5 \, a b^{5} c^{4} d^{2} + 10 \, a^{2} b^{4} c^{3} d^{3} - 10 \, a^{3} b^{3} c^{2} d^{4} + 5 \, a^{4} b^{2} c d^{5} - a^{5} b d^{6}\right)} x}{2 \, {\left(d x + c\right)}^{2} d^{7}} + \frac{b^{6} d^{9} x^{4} - 4 \, b^{6} c d^{8} x^{3} + 8 \, a b^{5} d^{9} x^{3} + 12 \, b^{6} c^{2} d^{7} x^{2} - 36 \, a b^{5} c d^{8} x^{2} + 30 \, a^{2} b^{4} d^{9} x^{2} - 40 \, b^{6} c^{3} d^{6} x + 144 \, a b^{5} c^{2} d^{7} x - 180 \, a^{2} b^{4} c d^{8} x + 80 \, a^{3} b^{3} d^{9} x}{4 \, d^{12}}"," ",0,"15*(b^6*c^4 - 4*a*b^5*c^3*d + 6*a^2*b^4*c^2*d^2 - 4*a^3*b^3*c*d^3 + a^4*b^2*d^4)*log(abs(d*x + c))/d^7 + 1/2*(11*b^6*c^6 - 54*a*b^5*c^5*d + 105*a^2*b^4*c^4*d^2 - 100*a^3*b^3*c^3*d^3 + 45*a^4*b^2*c^2*d^4 - 6*a^5*b*c*d^5 - a^6*d^6 + 12*(b^6*c^5*d - 5*a*b^5*c^4*d^2 + 10*a^2*b^4*c^3*d^3 - 10*a^3*b^3*c^2*d^4 + 5*a^4*b^2*c*d^5 - a^5*b*d^6)*x)/((d*x + c)^2*d^7) + 1/4*(b^6*d^9*x^4 - 4*b^6*c*d^8*x^3 + 8*a*b^5*d^9*x^3 + 12*b^6*c^2*d^7*x^2 - 36*a*b^5*c*d^8*x^2 + 30*a^2*b^4*d^9*x^2 - 40*b^6*c^3*d^6*x + 144*a*b^5*c^2*d^7*x - 180*a^2*b^4*c*d^8*x + 80*a^3*b^3*d^9*x)/d^12","B",0
1353,1,264,0,1.288007," ","integrate((b*x+a)^5/(d*x+c)^3,x, algorithm=""giac"")","-\frac{10 \, {\left(b^{5} c^{3} - 3 \, a b^{4} c^{2} d + 3 \, a^{2} b^{3} c d^{2} - a^{3} b^{2} d^{3}\right)} \log\left({\left| d x + c \right|}\right)}{d^{6}} - \frac{9 \, b^{5} c^{5} - 35 \, a b^{4} c^{4} d + 50 \, a^{2} b^{3} c^{3} d^{2} - 30 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} + a^{5} d^{5} + 10 \, {\left(b^{5} c^{4} d - 4 \, a b^{4} c^{3} d^{2} + 6 \, a^{2} b^{3} c^{2} d^{3} - 4 \, a^{3} b^{2} c d^{4} + a^{4} b d^{5}\right)} x}{2 \, {\left(d x + c\right)}^{2} d^{6}} + \frac{2 \, b^{5} d^{6} x^{3} - 9 \, b^{5} c d^{5} x^{2} + 15 \, a b^{4} d^{6} x^{2} + 36 \, b^{5} c^{2} d^{4} x - 90 \, a b^{4} c d^{5} x + 60 \, a^{2} b^{3} d^{6} x}{6 \, d^{9}}"," ",0,"-10*(b^5*c^3 - 3*a*b^4*c^2*d + 3*a^2*b^3*c*d^2 - a^3*b^2*d^3)*log(abs(d*x + c))/d^6 - 1/2*(9*b^5*c^5 - 35*a*b^4*c^4*d + 50*a^2*b^3*c^3*d^2 - 30*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 + a^5*d^5 + 10*(b^5*c^4*d - 4*a*b^4*c^3*d^2 + 6*a^2*b^3*c^2*d^3 - 4*a^3*b^2*c*d^4 + a^4*b*d^5)*x)/((d*x + c)^2*d^6) + 1/6*(2*b^5*d^6*x^3 - 9*b^5*c*d^5*x^2 + 15*a*b^4*d^6*x^2 + 36*b^5*c^2*d^4*x - 90*a*b^4*c*d^5*x + 60*a^2*b^3*d^6*x)/d^9","B",0
1354,1,183,0,1.354228," ","integrate((b*x+a)^4/(d*x+c)^3,x, algorithm=""giac"")","\frac{6 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} \log\left({\left| d x + c \right|}\right)}{d^{5}} + \frac{b^{4} d^{3} x^{2} - 6 \, b^{4} c d^{2} x + 8 \, a b^{3} d^{3} x}{2 \, d^{6}} + \frac{7 \, b^{4} c^{4} - 20 \, a b^{3} c^{3} d + 18 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} - a^{4} d^{4} + 8 \, {\left(b^{4} c^{3} d - 3 \, a b^{3} c^{2} d^{2} + 3 \, a^{2} b^{2} c d^{3} - a^{3} b d^{4}\right)} x}{2 \, {\left(d x + c\right)}^{2} d^{5}}"," ",0,"6*(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*log(abs(d*x + c))/d^5 + 1/2*(b^4*d^3*x^2 - 6*b^4*c*d^2*x + 8*a*b^3*d^3*x)/d^6 + 1/2*(7*b^4*c^4 - 20*a*b^3*c^3*d + 18*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 - a^4*d^4 + 8*(b^4*c^3*d - 3*a*b^3*c^2*d^2 + 3*a^2*b^2*c*d^3 - a^3*b*d^4)*x)/((d*x + c)^2*d^5)","A",0
1355,1,112,0,1.275593," ","integrate((b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","\frac{b^{3} x}{d^{3}} - \frac{3 \, {\left(b^{3} c - a b^{2} d\right)} \log\left({\left| d x + c \right|}\right)}{d^{4}} - \frac{5 \, b^{3} c^{3} - 9 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} + a^{3} d^{3} + 6 \, {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} x}{2 \, {\left(d x + c\right)}^{2} d^{4}}"," ",0,"b^3*x/d^3 - 3*(b^3*c - a*b^2*d)*log(abs(d*x + c))/d^4 - 1/2*(5*b^3*c^3 - 9*a*b^2*c^2*d + 3*a^2*b*c*d^2 + a^3*d^3 + 6*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*x)/((d*x + c)^2*d^4)","A",0
1356,1,69,0,1.299280," ","integrate((b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{b^{2} \log\left({\left| d x + c \right|}\right)}{d^{3}} + \frac{4 \, {\left(b^{2} c - a b d\right)} x + \frac{3 \, b^{2} c^{2} - 2 \, a b c d - a^{2} d^{2}}{d}}{2 \, {\left(d x + c\right)}^{2} d^{2}}"," ",0,"b^2*log(abs(d*x + c))/d^3 + 1/2*(4*(b^2*c - a*b*d)*x + (3*b^2*c^2 - 2*a*b*c*d - a^2*d^2)/d)/((d*x + c)^2*d^2)","A",0
1357,1,24,0,1.251023," ","integrate((b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","-\frac{2 \, b d x + b c + a d}{2 \, {\left(d x + c\right)}^{2} d^{2}}"," ",0,"-1/2*(2*b*d*x + b*c + a*d)/((d*x + c)^2*d^2)","A",0
1358,1,12,0,1.203103," ","integrate(1/(d*x+c)^3,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(d x + c\right)}^{2} d}"," ",0,"-1/2/((d*x + c)^2*d)","A",0
1359,1,165,0,1.359860," ","integrate(1/(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","\frac{b^{3} \log\left({\left| b x + a \right|}\right)}{b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}} - \frac{b^{2} d \log\left({\left| d x + c \right|}\right)}{b^{3} c^{3} d - 3 \, a b^{2} c^{2} d^{2} + 3 \, a^{2} b c d^{3} - a^{3} d^{4}} + \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 c - a d\right)}^{3} {\left(d x + c\right)}^{2}}"," ",0,"b^3*log(abs(b*x + a))/(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3) - b^2*d*log(abs(d*x + c))/(b^3*c^3*d - 3*a*b^2*c^2*d^2 + 3*a^2*b*c*d^3 - a^3*d^4) + 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)/((b*c - a*d)^3*(d*x + c)^2)","B",0
1360,1,217,0,1.265298," ","integrate(1/(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{3 \, b^{3} d \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{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}} - \frac{b^{5}}{{\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)} {\left(b x + a\right)}} + \frac{5 \, b^{2} d^{3} + \frac{6 \, {\left(b^{4} c d^{2} - a b^{3} d^{3}\right)}}{{\left(b x + a\right)} b}}{2 \, {\left(b c - a d\right)}^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2}}"," ",0,"3*b^3*d*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(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) - b^5/((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)*(b*x + a)) + 1/2*(5*b^2*d^3 + 6*(b^4*c*d^2 - a*b^3*d^3)/((b*x + a)*b))/((b*c - a*d)^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2)","B",0
1361,1,345,0,1.276537," ","integrate(1/(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","\frac{6 \, b^{3} d^{2} \log\left({\left| b x + a \right|}\right)}{b^{6} c^{5} - 5 \, a b^{5} c^{4} d + 10 \, a^{2} b^{4} c^{3} d^{2} - 10 \, a^{3} b^{3} c^{2} d^{3} + 5 \, a^{4} b^{2} c d^{4} - a^{5} b d^{5}} - \frac{6 \, b^{2} d^{3} \log\left({\left| d x + c \right|}\right)}{b^{5} c^{5} d - 5 \, a b^{4} c^{4} d^{2} + 10 \, a^{2} b^{3} c^{3} d^{3} - 10 \, a^{3} b^{2} c^{2} d^{4} + 5 \, a^{4} b c d^{5} - a^{5} d^{6}} + \frac{12 \, b^{3} d^{3} x^{3} + 18 \, b^{3} c d^{2} x^{2} + 18 \, a b^{2} d^{3} x^{2} + 4 \, b^{3} c^{2} d x + 28 \, a b^{2} c d^{2} x + 4 \, a^{2} b d^{3} x - b^{3} c^{3} + 7 \, a b^{2} c^{2} d + 7 \, a^{2} b c d^{2} - a^{3} d^{3}}{2 \, {\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 d x^{2} + b c x + a d x + a c\right)}^{2}}"," ",0,"6*b^3*d^2*log(abs(b*x + a))/(b^6*c^5 - 5*a*b^5*c^4*d + 10*a^2*b^4*c^3*d^2 - 10*a^3*b^3*c^2*d^3 + 5*a^4*b^2*c*d^4 - a^5*b*d^5) - 6*b^2*d^3*log(abs(d*x + c))/(b^5*c^5*d - 5*a*b^4*c^4*d^2 + 10*a^2*b^3*c^3*d^3 - 10*a^3*b^2*c^2*d^4 + 5*a^4*b*c*d^5 - a^5*d^6) + 1/2*(12*b^3*d^3*x^3 + 18*b^3*c*d^2*x^2 + 18*a*b^2*d^3*x^2 + 4*b^3*c^2*d*x + 28*a*b^2*c*d^2*x + 4*a^2*b*d^3*x - b^3*c^3 + 7*a*b^2*c^2*d + 7*a^2*b*c*d^2 - a^3*d^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)*(b*d*x^2 + b*c*x + a*d*x + a*c)^2)","B",0
1362,1,723,0,1.320880," ","integrate((b*x+a)^9/(d*x+c)^8,x, algorithm=""giac"")","\frac{36 \, {\left(b^{9} c^{2} - 2 \, a b^{8} c d + a^{2} b^{7} d^{2}\right)} \log\left({\left| d x + c \right|}\right)}{d^{10}} + \frac{b^{9} d^{8} x^{2} - 16 \, b^{9} c d^{7} x + 18 \, a b^{8} d^{8} x}{2 \, d^{16}} + \frac{3349 \, b^{9} c^{9} - 8658 \, a b^{8} c^{8} d + 6534 \, a^{2} b^{7} c^{7} d^{2} - 840 \, a^{3} b^{6} c^{6} d^{3} - 210 \, a^{4} b^{5} c^{5} d^{4} - 84 \, a^{5} b^{4} c^{4} d^{5} - 42 \, a^{6} b^{3} c^{3} d^{6} - 24 \, a^{7} b^{2} c^{2} d^{7} - 15 \, a^{8} b c d^{8} - 10 \, a^{9} d^{9} + 5880 \, {\left(b^{9} c^{3} d^{6} - 3 \, a b^{8} c^{2} d^{7} + 3 \, a^{2} b^{7} c d^{8} - a^{3} b^{6} d^{9}\right)} x^{6} + 4410 \, {\left(7 \, b^{9} c^{4} d^{5} - 20 \, a b^{8} c^{3} d^{6} + 18 \, a^{2} b^{7} c^{2} d^{7} - 4 \, a^{3} b^{6} c d^{8} - a^{4} b^{5} d^{9}\right)} x^{5} + 1470 \, {\left(47 \, b^{9} c^{5} d^{4} - 130 \, a b^{8} c^{4} d^{5} + 110 \, a^{2} b^{7} c^{3} d^{6} - 20 \, a^{3} b^{6} c^{2} d^{7} - 5 \, a^{4} b^{5} c d^{8} - 2 \, a^{5} b^{4} d^{9}\right)} x^{4} + 1470 \, {\left(57 \, b^{9} c^{6} d^{3} - 154 \, a b^{8} c^{5} d^{4} + 125 \, a^{2} b^{7} c^{4} d^{5} - 20 \, a^{3} b^{6} c^{3} d^{6} - 5 \, a^{4} b^{5} c^{2} d^{7} - 2 \, a^{5} b^{4} c d^{8} - a^{6} b^{3} d^{9}\right)} x^{3} + 126 \, {\left(459 \, b^{9} c^{7} d^{2} - 1218 \, a b^{8} c^{6} d^{3} + 959 \, a^{2} b^{7} c^{5} d^{4} - 140 \, a^{3} b^{6} c^{4} d^{5} - 35 \, a^{4} b^{5} c^{3} d^{6} - 14 \, a^{5} b^{4} c^{2} d^{7} - 7 \, a^{6} b^{3} c d^{8} - 4 \, a^{7} b^{2} d^{9}\right)} x^{2} + 21 \, {\left(1023 \, b^{9} c^{8} d - 2676 \, a b^{8} c^{7} d^{2} + 2058 \, a^{2} b^{7} c^{6} d^{3} - 280 \, a^{3} b^{6} c^{5} d^{4} - 70 \, a^{4} b^{5} c^{4} d^{5} - 28 \, a^{5} b^{4} c^{3} d^{6} - 14 \, a^{6} b^{3} c^{2} d^{7} - 8 \, a^{7} b^{2} c d^{8} - 5 \, a^{8} b d^{9}\right)} x}{70 \, {\left(d x + c\right)}^{7} d^{10}}"," ",0,"36*(b^9*c^2 - 2*a*b^8*c*d + a^2*b^7*d^2)*log(abs(d*x + c))/d^10 + 1/2*(b^9*d^8*x^2 - 16*b^9*c*d^7*x + 18*a*b^8*d^8*x)/d^16 + 1/70*(3349*b^9*c^9 - 8658*a*b^8*c^8*d + 6534*a^2*b^7*c^7*d^2 - 840*a^3*b^6*c^6*d^3 - 210*a^4*b^5*c^5*d^4 - 84*a^5*b^4*c^4*d^5 - 42*a^6*b^3*c^3*d^6 - 24*a^7*b^2*c^2*d^7 - 15*a^8*b*c*d^8 - 10*a^9*d^9 + 5880*(b^9*c^3*d^6 - 3*a*b^8*c^2*d^7 + 3*a^2*b^7*c*d^8 - a^3*b^6*d^9)*x^6 + 4410*(7*b^9*c^4*d^5 - 20*a*b^8*c^3*d^6 + 18*a^2*b^7*c^2*d^7 - 4*a^3*b^6*c*d^8 - a^4*b^5*d^9)*x^5 + 1470*(47*b^9*c^5*d^4 - 130*a*b^8*c^4*d^5 + 110*a^2*b^7*c^3*d^6 - 20*a^3*b^6*c^2*d^7 - 5*a^4*b^5*c*d^8 - 2*a^5*b^4*d^9)*x^4 + 1470*(57*b^9*c^6*d^3 - 154*a*b^8*c^5*d^4 + 125*a^2*b^7*c^4*d^5 - 20*a^3*b^6*c^3*d^6 - 5*a^4*b^5*c^2*d^7 - 2*a^5*b^4*c*d^8 - a^6*b^3*d^9)*x^3 + 126*(459*b^9*c^7*d^2 - 1218*a*b^8*c^6*d^3 + 959*a^2*b^7*c^5*d^4 - 140*a^3*b^6*c^4*d^5 - 35*a^4*b^5*c^3*d^6 - 14*a^5*b^4*c^2*d^7 - 7*a^6*b^3*c*d^8 - 4*a^7*b^2*d^9)*x^2 + 21*(1023*b^9*c^8*d - 2676*a*b^8*c^7*d^2 + 2058*a^2*b^7*c^6*d^3 - 280*a^3*b^6*c^5*d^4 - 70*a^4*b^5*c^4*d^5 - 28*a^5*b^4*c^3*d^6 - 14*a^6*b^3*c^2*d^7 - 8*a^7*b^2*c*d^8 - 5*a^8*b*d^9)*x)/((d*x + c)^7*d^10)","B",0
1363,1,581,0,1.268264," ","integrate((b*x+a)^8/(d*x+c)^8,x, algorithm=""giac"")","\frac{b^{8} x}{d^{8}} - \frac{8 \, {\left(b^{8} c - a b^{7} d\right)} \log\left({\left| d x + c \right|}\right)}{d^{9}} - \frac{1443 \, b^{8} c^{8} - 2178 \, a b^{7} c^{7} d + 420 \, a^{2} b^{6} c^{6} d^{2} + 140 \, a^{3} b^{5} c^{5} d^{3} + 70 \, a^{4} b^{4} c^{4} d^{4} + 42 \, a^{5} b^{3} c^{3} d^{5} + 28 \, a^{6} b^{2} c^{2} d^{6} + 20 \, a^{7} b c d^{7} + 15 \, a^{8} d^{8} + 2940 \, {\left(b^{8} c^{2} d^{6} - 2 \, a b^{7} c d^{7} + a^{2} b^{6} d^{8}\right)} x^{6} + 2940 \, {\left(5 \, b^{8} c^{3} d^{5} - 9 \, a b^{7} c^{2} d^{6} + 3 \, a^{2} b^{6} c d^{7} + a^{3} b^{5} d^{8}\right)} x^{5} + 2450 \, {\left(13 \, b^{8} c^{4} d^{4} - 22 \, a b^{7} c^{3} d^{5} + 6 \, a^{2} b^{6} c^{2} d^{6} + 2 \, a^{3} b^{5} c d^{7} + a^{4} b^{4} d^{8}\right)} x^{4} + 490 \, {\left(77 \, b^{8} c^{5} d^{3} - 125 \, a b^{7} c^{4} d^{4} + 30 \, a^{2} b^{6} c^{3} d^{5} + 10 \, a^{3} b^{5} c^{2} d^{6} + 5 \, a^{4} b^{4} c d^{7} + 3 \, a^{5} b^{3} d^{8}\right)} x^{3} + 294 \, {\left(87 \, b^{8} c^{6} d^{2} - 137 \, a b^{7} c^{5} d^{3} + 30 \, a^{2} b^{6} c^{4} d^{4} + 10 \, a^{3} b^{5} c^{3} d^{5} + 5 \, a^{4} b^{4} c^{2} d^{6} + 3 \, a^{5} b^{3} c d^{7} + 2 \, a^{6} b^{2} d^{8}\right)} x^{2} + 14 \, {\left(669 \, b^{8} c^{7} d - 1029 \, a b^{7} c^{6} d^{2} + 210 \, a^{2} b^{6} c^{5} d^{3} + 70 \, a^{3} b^{5} c^{4} d^{4} + 35 \, a^{4} b^{4} c^{3} d^{5} + 21 \, a^{5} b^{3} c^{2} d^{6} + 14 \, a^{6} b^{2} c d^{7} + 10 \, a^{7} b d^{8}\right)} x}{105 \, {\left(d x + c\right)}^{7} d^{9}}"," ",0,"b^8*x/d^8 - 8*(b^8*c - a*b^7*d)*log(abs(d*x + c))/d^9 - 1/105*(1443*b^8*c^8 - 2178*a*b^7*c^7*d + 420*a^2*b^6*c^6*d^2 + 140*a^3*b^5*c^5*d^3 + 70*a^4*b^4*c^4*d^4 + 42*a^5*b^3*c^3*d^5 + 28*a^6*b^2*c^2*d^6 + 20*a^7*b*c*d^7 + 15*a^8*d^8 + 2940*(b^8*c^2*d^6 - 2*a*b^7*c*d^7 + a^2*b^6*d^8)*x^6 + 2940*(5*b^8*c^3*d^5 - 9*a*b^7*c^2*d^6 + 3*a^2*b^6*c*d^7 + a^3*b^5*d^8)*x^5 + 2450*(13*b^8*c^4*d^4 - 22*a*b^7*c^3*d^5 + 6*a^2*b^6*c^2*d^6 + 2*a^3*b^5*c*d^7 + a^4*b^4*d^8)*x^4 + 490*(77*b^8*c^5*d^3 - 125*a*b^7*c^4*d^4 + 30*a^2*b^6*c^3*d^5 + 10*a^3*b^5*c^2*d^6 + 5*a^4*b^4*c*d^7 + 3*a^5*b^3*d^8)*x^3 + 294*(87*b^8*c^6*d^2 - 137*a*b^7*c^5*d^3 + 30*a^2*b^6*c^4*d^4 + 10*a^3*b^5*c^3*d^5 + 5*a^4*b^4*c^2*d^6 + 3*a^5*b^3*c*d^7 + 2*a^6*b^2*d^8)*x^2 + 14*(669*b^8*c^7*d - 1029*a*b^7*c^6*d^2 + 210*a^2*b^6*c^5*d^3 + 70*a^3*b^5*c^4*d^4 + 35*a^4*b^4*c^3*d^5 + 21*a^5*b^3*c^2*d^6 + 14*a^6*b^2*c*d^7 + 10*a^7*b*d^8)*x)/((d*x + c)^7*d^9)","B",0
1364,1,467,0,1.298479," ","integrate((b*x+a)^7/(d*x+c)^8,x, algorithm=""giac"")","\frac{b^{7} \log\left({\left| d x + c \right|}\right)}{d^{8}} + \frac{2940 \, {\left(b^{7} c d^{5} - a b^{6} d^{6}\right)} x^{6} + 4410 \, {\left(3 \, b^{7} c^{2} d^{4} - 2 \, a b^{6} c d^{5} - a^{2} b^{5} d^{6}\right)} x^{5} + 2450 \, {\left(11 \, b^{7} c^{3} d^{3} - 6 \, a b^{6} c^{2} d^{4} - 3 \, a^{2} b^{5} c d^{5} - 2 \, a^{3} b^{4} d^{6}\right)} x^{4} + 1225 \, {\left(25 \, b^{7} c^{4} d^{2} - 12 \, a b^{6} c^{3} d^{3} - 6 \, a^{2} b^{5} c^{2} d^{4} - 4 \, a^{3} b^{4} c d^{5} - 3 \, a^{4} b^{3} d^{6}\right)} x^{3} + 147 \, {\left(137 \, b^{7} c^{5} d - 60 \, a b^{6} c^{4} d^{2} - 30 \, a^{2} b^{5} c^{3} d^{3} - 20 \, a^{3} b^{4} c^{2} d^{4} - 15 \, a^{4} b^{3} c d^{5} - 12 \, a^{5} b^{2} d^{6}\right)} x^{2} + 49 \, {\left(147 \, b^{7} c^{6} - 60 \, a b^{6} c^{5} d - 30 \, 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} - 12 \, a^{5} b^{2} c d^{5} - 10 \, a^{6} b d^{6}\right)} x + \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}}{d}}{420 \, {\left(d x + c\right)}^{7} d^{7}}"," ",0,"b^7*log(abs(d*x + c))/d^8 + 1/420*(2940*(b^7*c*d^5 - a*b^6*d^6)*x^6 + 4410*(3*b^7*c^2*d^4 - 2*a*b^6*c*d^5 - a^2*b^5*d^6)*x^5 + 2450*(11*b^7*c^3*d^3 - 6*a*b^6*c^2*d^4 - 3*a^2*b^5*c*d^5 - 2*a^3*b^4*d^6)*x^4 + 1225*(25*b^7*c^4*d^2 - 12*a*b^6*c^3*d^3 - 6*a^2*b^5*c^2*d^4 - 4*a^3*b^4*c*d^5 - 3*a^4*b^3*d^6)*x^3 + 147*(137*b^7*c^5*d - 60*a*b^6*c^4*d^2 - 30*a^2*b^5*c^3*d^3 - 20*a^3*b^4*c^2*d^4 - 15*a^4*b^3*c*d^5 - 12*a^5*b^2*d^6)*x^2 + 49*(147*b^7*c^6 - 60*a*b^6*c^5*d - 30*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 - 12*a^5*b^2*c*d^5 - 10*a^6*b*d^6)*x + (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)/d)/((d*x + c)^7*d^7)","B",0
1365,1,369,0,1.281729," ","integrate((b*x+a)^6/(d*x+c)^8,x, algorithm=""giac"")","-\frac{7 \, b^{6} d^{6} x^{6} + 21 \, b^{6} c d^{5} x^{5} + 21 \, a b^{5} d^{6} x^{5} + 35 \, b^{6} c^{2} d^{4} x^{4} + 35 \, a b^{5} c d^{5} x^{4} + 35 \, a^{2} b^{4} d^{6} x^{4} + 35 \, b^{6} c^{3} d^{3} x^{3} + 35 \, a b^{5} c^{2} d^{4} x^{3} + 35 \, a^{2} b^{4} c d^{5} x^{3} + 35 \, a^{3} b^{3} d^{6} x^{3} + 21 \, b^{6} c^{4} d^{2} x^{2} + 21 \, a b^{5} c^{3} d^{3} x^{2} + 21 \, a^{2} b^{4} c^{2} d^{4} x^{2} + 21 \, a^{3} b^{3} c d^{5} x^{2} + 21 \, a^{4} b^{2} d^{6} x^{2} + 7 \, b^{6} c^{5} d x + 7 \, a b^{5} c^{4} d^{2} x + 7 \, a^{2} b^{4} c^{3} d^{3} x + 7 \, a^{3} b^{3} c^{2} d^{4} x + 7 \, a^{4} b^{2} c d^{5} x + 7 \, a^{5} b d^{6} x + 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}}{7 \, {\left(d x + c\right)}^{7} d^{7}}"," ",0,"-1/7*(7*b^6*d^6*x^6 + 21*b^6*c*d^5*x^5 + 21*a*b^5*d^6*x^5 + 35*b^6*c^2*d^4*x^4 + 35*a*b^5*c*d^5*x^4 + 35*a^2*b^4*d^6*x^4 + 35*b^6*c^3*d^3*x^3 + 35*a*b^5*c^2*d^4*x^3 + 35*a^2*b^4*c*d^5*x^3 + 35*a^3*b^3*d^6*x^3 + 21*b^6*c^4*d^2*x^2 + 21*a*b^5*c^3*d^3*x^2 + 21*a^2*b^4*c^2*d^4*x^2 + 21*a^3*b^3*c*d^5*x^2 + 21*a^4*b^2*d^6*x^2 + 7*b^6*c^5*d*x + 7*a*b^5*c^4*d^2*x + 7*a^2*b^4*c^3*d^3*x + 7*a^3*b^3*c^2*d^4*x + 7*a^4*b^2*c*d^5*x + 7*a^5*b*d^6*x + 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)/((d*x + c)^7*d^7)","B",0
1366,1,271,0,1.316884," ","integrate((b*x+a)^5/(d*x+c)^8,x, algorithm=""giac"")","-\frac{21 \, b^{5} d^{5} x^{5} + 35 \, b^{5} c d^{4} x^{4} + 70 \, a b^{4} d^{5} x^{4} + 35 \, b^{5} c^{2} d^{3} x^{3} + 70 \, a b^{4} c d^{4} x^{3} + 105 \, a^{2} b^{3} d^{5} x^{3} + 21 \, b^{5} c^{3} d^{2} x^{2} + 42 \, a b^{4} c^{2} d^{3} x^{2} + 63 \, a^{2} b^{3} c d^{4} x^{2} + 84 \, a^{3} b^{2} d^{5} x^{2} + 7 \, b^{5} c^{4} d x + 14 \, a b^{4} c^{3} d^{2} x + 21 \, a^{2} b^{3} c^{2} d^{3} x + 28 \, a^{3} b^{2} c d^{4} x + 35 \, a^{4} b d^{5} x + 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}}{42 \, {\left(d x + c\right)}^{7} d^{6}}"," ",0,"-1/42*(21*b^5*d^5*x^5 + 35*b^5*c*d^4*x^4 + 70*a*b^4*d^5*x^4 + 35*b^5*c^2*d^3*x^3 + 70*a*b^4*c*d^4*x^3 + 105*a^2*b^3*d^5*x^3 + 21*b^5*c^3*d^2*x^2 + 42*a*b^4*c^2*d^3*x^2 + 63*a^2*b^3*c*d^4*x^2 + 84*a^3*b^2*d^5*x^2 + 7*b^5*c^4*d*x + 14*a*b^4*c^3*d^2*x + 21*a^2*b^3*c^2*d^3*x + 28*a^3*b^2*c*d^4*x + 35*a^4*b*d^5*x + 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)/((d*x + c)^7*d^6)","B",0
1367,1,184,0,1.293851," ","integrate((b*x+a)^4/(d*x+c)^8,x, algorithm=""giac"")","-\frac{35 \, b^{4} d^{4} x^{4} + 35 \, b^{4} c d^{3} x^{3} + 105 \, a b^{3} d^{4} x^{3} + 21 \, b^{4} c^{2} d^{2} x^{2} + 63 \, a b^{3} c d^{3} x^{2} + 126 \, a^{2} b^{2} d^{4} x^{2} + 7 \, b^{4} c^{3} d x + 21 \, a b^{3} c^{2} d^{2} x + 42 \, a^{2} b^{2} c d^{3} x + 70 \, a^{3} b d^{4} x + 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}}{105 \, {\left(d x + c\right)}^{7} d^{5}}"," ",0,"-1/105*(35*b^4*d^4*x^4 + 35*b^4*c*d^3*x^3 + 105*a*b^3*d^4*x^3 + 21*b^4*c^2*d^2*x^2 + 63*a*b^3*c*d^3*x^2 + 126*a^2*b^2*d^4*x^2 + 7*b^4*c^3*d*x + 21*a*b^3*c^2*d^2*x + 42*a^2*b^2*c*d^3*x + 70*a^3*b*d^4*x + 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)/((d*x + c)^7*d^5)","B",0
1368,1,114,0,1.239522," ","integrate((b*x+a)^3/(d*x+c)^8,x, algorithm=""giac"")","-\frac{35 \, b^{3} d^{3} x^{3} + 21 \, b^{3} c d^{2} x^{2} + 84 \, a b^{2} d^{3} x^{2} + 7 \, b^{3} c^{2} d x + 28 \, a b^{2} c d^{2} x + 70 \, a^{2} b d^{3} x + b^{3} c^{3} + 4 \, a b^{2} c^{2} d + 10 \, a^{2} b c d^{2} + 20 \, a^{3} d^{3}}{140 \, {\left(d x + c\right)}^{7} d^{4}}"," ",0,"-1/140*(35*b^3*d^3*x^3 + 21*b^3*c*d^2*x^2 + 84*a*b^2*d^3*x^2 + 7*b^3*c^2*d*x + 28*a*b^2*c*d^2*x + 70*a^2*b*d^3*x + b^3*c^3 + 4*a*b^2*c^2*d + 10*a^2*b*c*d^2 + 20*a^3*d^3)/((d*x + c)^7*d^4)","A",0
1369,1,61,0,1.221611," ","integrate((b*x+a)^2/(d*x+c)^8,x, algorithm=""giac"")","-\frac{21 \, b^{2} d^{2} x^{2} + 7 \, b^{2} c d x + 35 \, a b d^{2} x + b^{2} c^{2} + 5 \, a b c d + 15 \, a^{2} d^{2}}{105 \, {\left(d x + c\right)}^{7} d^{3}}"," ",0,"-1/105*(21*b^2*d^2*x^2 + 7*b^2*c*d*x + 35*a*b*d^2*x + b^2*c^2 + 5*a*b*c*d + 15*a^2*d^2)/((d*x + c)^7*d^3)","A",0
1370,1,25,0,1.308764," ","integrate((b*x+a)/(d*x+c)^8,x, algorithm=""giac"")","-\frac{7 \, b d x + b c + 6 \, a d}{42 \, {\left(d x + c\right)}^{7} d^{2}}"," ",0,"-1/42*(7*b*d*x + b*c + 6*a*d)/((d*x + c)^7*d^2)","A",0
1371,1,12,0,1.257183," ","integrate(1/(d*x+c)^8,x, algorithm=""giac"")","-\frac{1}{7 \, {\left(d x + c\right)}^{7} d}"," ",0,"-1/7/((d*x + c)^7*d)","A",0
1372,1,703,0,1.333165," ","integrate(1/(b*x+a)/(d*x+c)^8,x, algorithm=""giac"")","\frac{b^{8} \log\left({\left| b x + a \right|}\right)}{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}} - \frac{b^{7} d \log\left({\left| d x + c \right|}\right)}{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}} + \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 c - a d\right)}^{8} {\left(d x + c\right)}^{7}}"," ",0,"b^8*log(abs(b*x + a))/(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) - b^7*d*log(abs(d*x + c))/(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) + 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)/((b*c - a*d)^8*(d*x + c)^7)","B",0
1373,1,714,0,1.370424," ","integrate(1/(b*x+a)^2/(d*x+c)^8,x, algorithm=""giac"")","-\frac{b^{15}}{{\left(b^{16} c^{8} - 8 \, a b^{15} c^{7} d + 28 \, a^{2} b^{14} c^{6} d^{2} - 56 \, a^{3} b^{13} c^{5} d^{3} + 70 \, a^{4} b^{12} c^{4} d^{4} - 56 \, a^{5} b^{11} c^{3} d^{5} + 28 \, a^{6} b^{10} c^{2} d^{6} - 8 \, a^{7} b^{9} c d^{7} + a^{8} b^{8} d^{8}\right)} {\left(b x + a\right)}} + \frac{8 \, b^{8} d \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{10} c^{9} - 9 \, a b^{9} c^{8} d + 36 \, a^{2} b^{8} c^{7} d^{2} - 84 \, a^{3} b^{7} c^{6} d^{3} + 126 \, a^{4} b^{6} c^{5} d^{4} - 126 \, a^{5} b^{5} c^{4} d^{5} + 84 \, a^{6} b^{4} c^{3} d^{6} - 36 \, a^{7} b^{3} c^{2} d^{7} + 9 \, a^{8} b^{2} c d^{8} - a^{9} b d^{9}} + \frac{1443 \, b^{7} d^{8} + \frac{9366 \, {\left(b^{9} c d^{7} - a b^{8} d^{8}\right)}}{{\left(b x + a\right)} b} + \frac{25578 \, {\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)}^{2} b^{2}} + \frac{37730 \, {\left(b^{13} c^{3} d^{5} - 3 \, a b^{12} c^{2} d^{6} + 3 \, a^{2} b^{11} c d^{7} - a^{3} b^{10} d^{8}\right)}}{{\left(b x + a\right)}^{3} b^{3}} + \frac{31850 \, {\left(b^{15} c^{4} d^{4} - 4 \, a b^{14} c^{3} d^{5} + 6 \, a^{2} b^{13} c^{2} d^{6} - 4 \, a^{3} b^{12} c d^{7} + a^{4} b^{11} d^{8}\right)}}{{\left(b x + a\right)}^{4} b^{4}} + \frac{14700 \, {\left(b^{17} c^{5} d^{3} - 5 \, a b^{16} c^{4} d^{4} + 10 \, a^{2} b^{15} c^{3} d^{5} - 10 \, a^{3} b^{14} c^{2} d^{6} + 5 \, a^{4} b^{13} c d^{7} - a^{5} b^{12} d^{8}\right)}}{{\left(b x + a\right)}^{5} b^{5}} + \frac{2940 \, {\left(b^{19} c^{6} d^{2} - 6 \, a b^{18} c^{5} d^{3} + 15 \, a^{2} b^{17} c^{4} d^{4} - 20 \, a^{3} b^{16} c^{3} d^{5} + 15 \, a^{4} b^{15} c^{2} d^{6} - 6 \, a^{5} b^{14} c d^{7} + a^{6} b^{13} d^{8}\right)}}{{\left(b x + a\right)}^{6} b^{6}}}{105 \, {\left(b c - a d\right)}^{9} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{7}}"," ",0,"-b^15/((b^16*c^8 - 8*a*b^15*c^7*d + 28*a^2*b^14*c^6*d^2 - 56*a^3*b^13*c^5*d^3 + 70*a^4*b^12*c^4*d^4 - 56*a^5*b^11*c^3*d^5 + 28*a^6*b^10*c^2*d^6 - 8*a^7*b^9*c*d^7 + a^8*b^8*d^8)*(b*x + a)) + 8*b^8*d*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^10*c^9 - 9*a*b^9*c^8*d + 36*a^2*b^8*c^7*d^2 - 84*a^3*b^7*c^6*d^3 + 126*a^4*b^6*c^5*d^4 - 126*a^5*b^5*c^4*d^5 + 84*a^6*b^4*c^3*d^6 - 36*a^7*b^3*c^2*d^7 + 9*a^8*b^2*c*d^8 - a^9*b*d^9) + 1/105*(1443*b^7*d^8 + 9366*(b^9*c*d^7 - a*b^8*d^8)/((b*x + a)*b) + 25578*(b^11*c^2*d^6 - 2*a*b^10*c*d^7 + a^2*b^9*d^8)/((b*x + a)^2*b^2) + 37730*(b^13*c^3*d^5 - 3*a*b^12*c^2*d^6 + 3*a^2*b^11*c*d^7 - a^3*b^10*d^8)/((b*x + a)^3*b^3) + 31850*(b^15*c^4*d^4 - 4*a*b^14*c^3*d^5 + 6*a^2*b^13*c^2*d^6 - 4*a^3*b^12*c*d^7 + a^4*b^11*d^8)/((b*x + a)^4*b^4) + 14700*(b^17*c^5*d^3 - 5*a*b^16*c^4*d^4 + 10*a^2*b^15*c^3*d^5 - 10*a^3*b^14*c^2*d^6 + 5*a^4*b^13*c*d^7 - a^5*b^12*d^8)/((b*x + a)^5*b^5) + 2940*(b^19*c^6*d^2 - 6*a*b^18*c^5*d^3 + 15*a^2*b^17*c^4*d^4 - 20*a^3*b^16*c^3*d^5 + 15*a^4*b^15*c^2*d^6 - 6*a^5*b^14*c*d^7 + a^6*b^13*d^8)/((b*x + a)^6*b^6))/((b*c - a*d)^9*(b*c/(b*x + a) - a*d/(b*x + a) + d)^7)","B",0
1374,1,1029,0,1.492831," ","integrate(1/(b*x+a)^3/(d*x+c)^8,x, algorithm=""giac"")","\frac{36 \, b^{8} d^{2} \log\left({\left| b x + a \right|}\right)}{b^{11} c^{10} - 10 \, a b^{10} c^{9} d + 45 \, a^{2} b^{9} c^{8} d^{2} - 120 \, a^{3} b^{8} c^{7} d^{3} + 210 \, a^{4} b^{7} c^{6} d^{4} - 252 \, a^{5} b^{6} c^{5} d^{5} + 210 \, a^{6} b^{5} c^{4} d^{6} - 120 \, a^{7} b^{4} c^{3} d^{7} + 45 \, a^{8} b^{3} c^{2} d^{8} - 10 \, a^{9} b^{2} c d^{9} + a^{10} b d^{10}} - \frac{36 \, b^{7} d^{3} \log\left({\left| d x + c \right|}\right)}{b^{10} c^{10} d - 10 \, a b^{9} c^{9} d^{2} + 45 \, a^{2} b^{8} c^{8} d^{3} - 120 \, a^{3} b^{7} c^{7} d^{4} + 210 \, a^{4} b^{6} c^{6} d^{5} - 252 \, a^{5} b^{5} c^{5} d^{6} + 210 \, a^{6} b^{4} c^{4} d^{7} - 120 \, a^{7} b^{3} c^{3} d^{8} + 45 \, a^{8} b^{2} c^{2} d^{9} - 10 \, a^{9} b c d^{10} + a^{10} d^{11}} - \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}{70 \, {\left(b c - a d\right)}^{10} {\left(b x + a\right)}^{2} {\left(d x + c\right)}^{7}}"," ",0,"36*b^8*d^2*log(abs(b*x + a))/(b^11*c^10 - 10*a*b^10*c^9*d + 45*a^2*b^9*c^8*d^2 - 120*a^3*b^8*c^7*d^3 + 210*a^4*b^7*c^6*d^4 - 252*a^5*b^6*c^5*d^5 + 210*a^6*b^5*c^4*d^6 - 120*a^7*b^4*c^3*d^7 + 45*a^8*b^3*c^2*d^8 - 10*a^9*b^2*c*d^9 + a^10*b*d^10) - 36*b^7*d^3*log(abs(d*x + c))/(b^10*c^10*d - 10*a*b^9*c^9*d^2 + 45*a^2*b^8*c^8*d^3 - 120*a^3*b^7*c^7*d^4 + 210*a^4*b^6*c^6*d^5 - 252*a^5*b^5*c^5*d^6 + 210*a^6*b^4*c^4*d^7 - 120*a^7*b^3*c^3*d^8 + 45*a^8*b^2*c^2*d^9 - 10*a^9*b*c*d^10 + a^10*d^11) - 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)/((b*c - a*d)^10*(b*x + a)^2*(d*x + c)^7)","B",0
1375,1,641,0,1.377639," ","integrate((b*x+a)^5*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(9009 \, \sqrt{d x + c} a^{5} c + 3003 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{5} + \frac{15015 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{4} b c}{d} + \frac{6006 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{3} b^{2} c}{d^{2}} + \frac{3003 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{4} b}{d} + \frac{2574 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{2} b^{3} c}{d^{3}} + \frac{2574 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{3} b^{2}}{d^{2}} + \frac{143 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a b^{4} c}{d^{4}} + \frac{286 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a^{2} b^{3}}{d^{3}} + \frac{13 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} b^{5} c}{d^{5}} + \frac{65 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} a b^{4}}{d^{4}} + \frac{3 \, {\left(231 \, {\left(d x + c\right)}^{\frac{13}{2}} - 1638 \, {\left(d x + c\right)}^{\frac{11}{2}} c + 5005 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{2} - 8580 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{3} + 9009 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{4} - 6006 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{5} + 3003 \, \sqrt{d x + c} c^{6}\right)} b^{5}}{d^{5}}\right)}}{9009 \, d}"," ",0,"2/9009*(9009*sqrt(d*x + c)*a^5*c + 3003*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^5 + 15015*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^4*b*c/d + 6006*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^3*b^2*c/d^2 + 3003*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^4*b/d + 2574*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^2*b^3*c/d^3 + 2574*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^3*b^2/d^2 + 143*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a*b^4*c/d^4 + 286*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a^2*b^3/d^3 + 13*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*b^5*c/d^5 + 65*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*a*b^4/d^4 + 3*(231*(d*x + c)^(13/2) - 1638*(d*x + c)^(11/2)*c + 5005*(d*x + c)^(9/2)*c^2 - 8580*(d*x + c)^(7/2)*c^3 + 9009*(d*x + c)^(5/2)*c^4 - 6006*(d*x + c)^(3/2)*c^5 + 3003*sqrt(d*x + c)*c^6)*b^5/d^5)/d","B",0
1376,1,470,0,1.249099," ","integrate((b*x+a)^4*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3465 \, \sqrt{d x + c} a^{4} c + 1155 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{4} + \frac{4620 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{3} b c}{d} + \frac{1386 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{2} b^{2} c}{d^{2}} + \frac{924 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{3} b}{d} + \frac{396 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a b^{3} c}{d^{3}} + \frac{594 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{2} b^{2}}{d^{2}} + \frac{11 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} b^{4} c}{d^{4}} + \frac{44 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a b^{3}}{d^{3}} + \frac{5 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} b^{4}}{d^{4}}\right)}}{3465 \, d}"," ",0,"2/3465*(3465*sqrt(d*x + c)*a^4*c + 1155*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^4 + 4620*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^3*b*c/d + 1386*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^2*b^2*c/d^2 + 924*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^3*b/d + 396*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a*b^3*c/d^3 + 594*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^2*b^2/d^2 + 11*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*b^4*c/d^4 + 44*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a*b^3/d^3 + 5*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*b^4/d^4)/d","B",0
1377,1,322,0,1.274751," ","integrate((b*x+a)^3*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(315 \, \sqrt{d x + c} a^{3} c + 105 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{3} + \frac{315 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{2} b c}{d} + \frac{63 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a b^{2} c}{d^{2}} + \frac{63 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{2} b}{d} + \frac{9 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} b^{3} c}{d^{3}} + \frac{27 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a b^{2}}{d^{2}} + \frac{{\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} b^{3}}{d^{3}}\right)}}{315 \, d}"," ",0,"2/315*(315*sqrt(d*x + c)*a^3*c + 105*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^3 + 315*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^2*b*c/d + 63*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a*b^2*c/d^2 + 63*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^2*b/d + 9*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*b^3*c/d^3 + 27*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a*b^2/d^2 + (35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*b^3/d^3)/d","B",0
1378,1,200,0,1.291131," ","integrate((b*x+a)^2*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(105 \, \sqrt{d x + c} a^{2} c + 35 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{2} + \frac{70 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a b c}{d} + \frac{7 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} b^{2} c}{d^{2}} + \frac{14 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a b}{d} + \frac{3 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} b^{2}}{d^{2}}\right)}}{105 \, d}"," ",0,"2/105*(105*sqrt(d*x + c)*a^2*c + 35*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^2 + 70*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a*b*c/d + 7*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*b^2*c/d^2 + 14*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a*b/d + 3*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*b^2/d^2)/d","B",0
1379,1,100,0,1.371644," ","integrate((b*x+a)*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(15 \, \sqrt{d x + c} a c + 5 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a + \frac{5 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} b c}{d} + \frac{{\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} b}{d}\right)}}{15 \, d}"," ",0,"2/15*(15*sqrt(d*x + c)*a*c + 5*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a + 5*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*b*c/d + (3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*b/d)/d","B",0
1380,1,12,0,1.341603," ","integrate((d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(d x + c\right)}^{\frac{3}{2}}}{3 \, d}"," ",0,"2/3*(d*x + c)^(3/2)/d","A",0
1381,1,62,0,1.265373," ","integrate((d*x+c)^(1/2)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(b c - a d\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} b} + \frac{2 \, \sqrt{d x + c}}{b}"," ",0,"2*(b*c - a*d)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b) + 2*sqrt(d*x + c)/b","A",0
1382,1,72,0,1.379982," ","integrate((d*x+c)^(1/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{d \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} b} - \frac{\sqrt{d x + c} d}{{\left({\left(d x + c\right)} b - b c + a d\right)} b}"," ",0,"d*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b) - sqrt(d*x + c)*d/(((d*x + c)*b - b*c + a*d)*b)","A",0
1383,1,126,0,1.330904," ","integrate((d*x+c)^(1/2)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{d^{2} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, {\left(b^{2} c - a b d\right)} \sqrt{-b^{2} c + a b d}} - \frac{{\left(d x + c\right)}^{\frac{3}{2}} b d^{2} + \sqrt{d x + c} b c d^{2} - \sqrt{d x + c} a d^{3}}{4 \, {\left(b^{2} c - a b d\right)} {\left({\left(d x + c\right)} b - b c + a d\right)}^{2}}"," ",0,"-1/4*d^2*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^2*c - a*b*d)*sqrt(-b^2*c + a*b*d)) - 1/4*((d*x + c)^(3/2)*b*d^2 + sqrt(d*x + c)*b*c*d^2 - sqrt(d*x + c)*a*d^3)/((b^2*c - a*b*d)*((d*x + c)*b - b*c + a*d)^2)","A",0
1384,1,207,0,1.349692," ","integrate((d*x+c)^(1/2)/(b*x+a)^4,x, algorithm=""giac"")","\frac{d^{3} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{8 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} \sqrt{-b^{2} c + a b d}} + \frac{3 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d^{3} - 8 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d^{3} - 3 \, \sqrt{d x + c} b^{2} c^{2} d^{3} + 8 \, {\left(d x + c\right)}^{\frac{3}{2}} a b d^{4} + 6 \, \sqrt{d x + c} a b c d^{4} - 3 \, \sqrt{d x + c} a^{2} d^{5}}{24 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} {\left({\left(d x + c\right)} b - b c + a d\right)}^{3}}"," ",0,"1/8*d^3*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*sqrt(-b^2*c + a*b*d)) + 1/24*(3*(d*x + c)^(5/2)*b^2*d^3 - 8*(d*x + c)^(3/2)*b^2*c*d^3 - 3*sqrt(d*x + c)*b^2*c^2*d^3 + 8*(d*x + c)^(3/2)*a*b*d^4 + 6*sqrt(d*x + c)*a*b*c*d^4 - 3*sqrt(d*x + c)*a^2*d^5)/((b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*((d*x + c)*b - b*c + a*d)^3)","A",0
1385,1,311,0,1.385705," ","integrate((d*x+c)^(1/2)/(b*x+a)^5,x, algorithm=""giac"")","-\frac{5 \, d^{4} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{64 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} \sqrt{-b^{2} c + a b d}} - \frac{15 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{3} d^{4} - 55 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{3} c d^{4} + 73 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} c^{2} d^{4} + 15 \, \sqrt{d x + c} b^{3} c^{3} d^{4} + 55 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{2} d^{5} - 146 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{2} c d^{5} - 45 \, \sqrt{d x + c} a b^{2} c^{2} d^{5} + 73 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b d^{6} + 45 \, \sqrt{d x + c} a^{2} b c d^{6} - 15 \, \sqrt{d x + c} a^{3} d^{7}}{192 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} {\left({\left(d x + c\right)} b - b c + a d\right)}^{4}}"," ",0,"-5/64*d^4*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3)*sqrt(-b^2*c + a*b*d)) - 1/192*(15*(d*x + c)^(7/2)*b^3*d^4 - 55*(d*x + c)^(5/2)*b^3*c*d^4 + 73*(d*x + c)^(3/2)*b^3*c^2*d^4 + 15*sqrt(d*x + c)*b^3*c^3*d^4 + 55*(d*x + c)^(5/2)*a*b^2*d^5 - 146*(d*x + c)^(3/2)*a*b^2*c*d^5 - 45*sqrt(d*x + c)*a*b^2*c^2*d^5 + 73*(d*x + c)^(3/2)*a^2*b*d^6 + 45*sqrt(d*x + c)*a^2*b*c*d^6 - 15*sqrt(d*x + c)*a^3*d^7)/((b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3)*((d*x + c)*b - b*c + a*d)^4)","B",0
1386,1,432,0,1.473032," ","integrate((d*x+c)^(1/2)/(b*x+a)^6,x, algorithm=""giac"")","\frac{7 \, d^{5} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{128 \, {\left(b^{5} c^{4} - 4 \, a b^{4} c^{3} d + 6 \, a^{2} b^{3} c^{2} d^{2} - 4 \, a^{3} b^{2} c d^{3} + a^{4} b d^{4}\right)} \sqrt{-b^{2} c + a b d}} + \frac{105 \, {\left(d x + c\right)}^{\frac{9}{2}} b^{4} d^{5} - 490 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{4} c d^{5} + 896 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{4} c^{2} d^{5} - 790 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{4} c^{3} d^{5} - 105 \, \sqrt{d x + c} b^{4} c^{4} d^{5} + 490 \, {\left(d x + c\right)}^{\frac{7}{2}} a b^{3} d^{6} - 1792 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{3} c d^{6} + 2370 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{3} c^{2} d^{6} + 420 \, \sqrt{d x + c} a b^{3} c^{3} d^{6} + 896 \, {\left(d x + c\right)}^{\frac{5}{2}} a^{2} b^{2} d^{7} - 2370 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b^{2} c d^{7} - 630 \, \sqrt{d x + c} a^{2} b^{2} c^{2} d^{7} + 790 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{3} b d^{8} + 420 \, \sqrt{d x + c} a^{3} b c d^{8} - 105 \, \sqrt{d x + c} a^{4} d^{9}}{1920 \, {\left(b^{5} c^{4} - 4 \, a b^{4} c^{3} d + 6 \, a^{2} b^{3} c^{2} d^{2} - 4 \, a^{3} b^{2} c d^{3} + a^{4} b d^{4}\right)} {\left({\left(d x + c\right)} b - b c + a d\right)}^{5}}"," ",0,"7/128*d^5*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^5*c^4 - 4*a*b^4*c^3*d + 6*a^2*b^3*c^2*d^2 - 4*a^3*b^2*c*d^3 + a^4*b*d^4)*sqrt(-b^2*c + a*b*d)) + 1/1920*(105*(d*x + c)^(9/2)*b^4*d^5 - 490*(d*x + c)^(7/2)*b^4*c*d^5 + 896*(d*x + c)^(5/2)*b^4*c^2*d^5 - 790*(d*x + c)^(3/2)*b^4*c^3*d^5 - 105*sqrt(d*x + c)*b^4*c^4*d^5 + 490*(d*x + c)^(7/2)*a*b^3*d^6 - 1792*(d*x + c)^(5/2)*a*b^3*c*d^6 + 2370*(d*x + c)^(3/2)*a*b^3*c^2*d^6 + 420*sqrt(d*x + c)*a*b^3*c^3*d^6 + 896*(d*x + c)^(5/2)*a^2*b^2*d^7 - 2370*(d*x + c)^(3/2)*a^2*b^2*c*d^7 - 630*sqrt(d*x + c)*a^2*b^2*c^2*d^7 + 790*(d*x + c)^(3/2)*a^3*b*d^8 + 420*sqrt(d*x + c)*a^3*b*c*d^8 - 105*sqrt(d*x + c)*a^4*d^9)/((b^5*c^4 - 4*a*b^4*c^3*d + 6*a^2*b^3*c^2*d^2 - 4*a^3*b^2*c*d^3 + a^4*b*d^4)*((d*x + c)*b - b*c + a*d)^5)","B",0
1387,1,1084,0,1.531668," ","integrate((b*x+a)^5*(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(45045 \, \sqrt{d x + c} a^{5} c^{2} + 30030 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{5} c + \frac{75075 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{4} b c^{2}}{d} + 3003 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{5} + \frac{30030 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{3} b^{2} c^{2}}{d^{2}} + \frac{30030 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{4} b c}{d} + \frac{12870 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{2} b^{3} c^{2}}{d^{3}} + \frac{25740 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{3} b^{2} c}{d^{2}} + \frac{6435 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{4} b}{d} + \frac{715 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a b^{4} c^{2}}{d^{4}} + \frac{2860 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a^{2} b^{3} c}{d^{3}} + \frac{1430 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a^{3} b^{2}}{d^{2}} + \frac{65 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} b^{5} c^{2}}{d^{5}} + \frac{650 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} a b^{4} c}{d^{4}} + \frac{650 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} a^{2} b^{3}}{d^{3}} + \frac{30 \, {\left(231 \, {\left(d x + c\right)}^{\frac{13}{2}} - 1638 \, {\left(d x + c\right)}^{\frac{11}{2}} c + 5005 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{2} - 8580 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{3} + 9009 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{4} - 6006 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{5} + 3003 \, \sqrt{d x + c} c^{6}\right)} b^{5} c}{d^{5}} + \frac{75 \, {\left(231 \, {\left(d x + c\right)}^{\frac{13}{2}} - 1638 \, {\left(d x + c\right)}^{\frac{11}{2}} c + 5005 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{2} - 8580 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{3} + 9009 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{4} - 6006 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{5} + 3003 \, \sqrt{d x + c} c^{6}\right)} a b^{4}}{d^{4}} + \frac{7 \, {\left(429 \, {\left(d x + c\right)}^{\frac{15}{2}} - 3465 \, {\left(d x + c\right)}^{\frac{13}{2}} c + 12285 \, {\left(d x + c\right)}^{\frac{11}{2}} c^{2} - 25025 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{3} + 32175 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{4} - 27027 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{5} + 15015 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{6} - 6435 \, \sqrt{d x + c} c^{7}\right)} b^{5}}{d^{5}}\right)}}{45045 \, d}"," ",0,"2/45045*(45045*sqrt(d*x + c)*a^5*c^2 + 30030*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^5*c + 75075*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^4*b*c^2/d + 3003*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^5 + 30030*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^3*b^2*c^2/d^2 + 30030*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^4*b*c/d + 12870*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^2*b^3*c^2/d^3 + 25740*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^3*b^2*c/d^2 + 6435*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^4*b/d + 715*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a*b^4*c^2/d^4 + 2860*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a^2*b^3*c/d^3 + 1430*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a^3*b^2/d^2 + 65*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*b^5*c^2/d^5 + 650*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*a*b^4*c/d^4 + 650*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*a^2*b^3/d^3 + 30*(231*(d*x + c)^(13/2) - 1638*(d*x + c)^(11/2)*c + 5005*(d*x + c)^(9/2)*c^2 - 8580*(d*x + c)^(7/2)*c^3 + 9009*(d*x + c)^(5/2)*c^4 - 6006*(d*x + c)^(3/2)*c^5 + 3003*sqrt(d*x + c)*c^6)*b^5*c/d^5 + 75*(231*(d*x + c)^(13/2) - 1638*(d*x + c)^(11/2)*c + 5005*(d*x + c)^(9/2)*c^2 - 8580*(d*x + c)^(7/2)*c^3 + 9009*(d*x + c)^(5/2)*c^4 - 6006*(d*x + c)^(3/2)*c^5 + 3003*sqrt(d*x + c)*c^6)*a*b^4/d^4 + 7*(429*(d*x + c)^(15/2) - 3465*(d*x + c)^(13/2)*c + 12285*(d*x + c)^(11/2)*c^2 - 25025*(d*x + c)^(9/2)*c^3 + 32175*(d*x + c)^(7/2)*c^4 - 27027*(d*x + c)^(5/2)*c^5 + 15015*(d*x + c)^(3/2)*c^6 - 6435*sqrt(d*x + c)*c^7)*b^5/d^5)/d","B",0
1388,1,807,0,1.402696," ","integrate((b*x+a)^4*(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(45045 \, \sqrt{d x + c} a^{4} c^{2} + 30030 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{4} c + \frac{60060 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{3} b c^{2}}{d} + 3003 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{4} + \frac{18018 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{2} b^{2} c^{2}}{d^{2}} + \frac{24024 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{3} b c}{d} + \frac{5148 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a b^{3} c^{2}}{d^{3}} + \frac{15444 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{2} b^{2} c}{d^{2}} + \frac{5148 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{3} b}{d} + \frac{143 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} b^{4} c^{2}}{d^{4}} + \frac{1144 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a b^{3} c}{d^{3}} + \frac{858 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a^{2} b^{2}}{d^{2}} + \frac{130 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} b^{4} c}{d^{4}} + \frac{260 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} a b^{3}}{d^{3}} + \frac{15 \, {\left(231 \, {\left(d x + c\right)}^{\frac{13}{2}} - 1638 \, {\left(d x + c\right)}^{\frac{11}{2}} c + 5005 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{2} - 8580 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{3} + 9009 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{4} - 6006 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{5} + 3003 \, \sqrt{d x + c} c^{6}\right)} b^{4}}{d^{4}}\right)}}{45045 \, d}"," ",0,"2/45045*(45045*sqrt(d*x + c)*a^4*c^2 + 30030*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^4*c + 60060*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^3*b*c^2/d + 3003*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^4 + 18018*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^2*b^2*c^2/d^2 + 24024*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^3*b*c/d + 5148*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a*b^3*c^2/d^3 + 15444*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^2*b^2*c/d^2 + 5148*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^3*b/d + 143*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*b^4*c^2/d^4 + 1144*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a*b^3*c/d^3 + 858*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a^2*b^2/d^2 + 130*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*b^4*c/d^4 + 260*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*a*b^3/d^3 + 15*(231*(d*x + c)^(13/2) - 1638*(d*x + c)^(11/2)*c + 5005*(d*x + c)^(9/2)*c^2 - 8580*(d*x + c)^(7/2)*c^3 + 9009*(d*x + c)^(5/2)*c^4 - 6006*(d*x + c)^(3/2)*c^5 + 3003*sqrt(d*x + c)*c^6)*b^4/d^4)/d","B",0
1389,1,566,0,1.310925," ","integrate((b*x+a)^3*(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(3465 \, \sqrt{d x + c} a^{3} c^{2} + 2310 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{3} c + \frac{3465 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{2} b c^{2}}{d} + 231 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{3} + \frac{693 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a b^{2} c^{2}}{d^{2}} + \frac{1386 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{2} b c}{d} + \frac{99 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} b^{3} c^{2}}{d^{3}} + \frac{594 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a b^{2} c}{d^{2}} + \frac{297 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{2} b}{d} + \frac{22 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} b^{3} c}{d^{3}} + \frac{33 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a b^{2}}{d^{2}} + \frac{5 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} b^{3}}{d^{3}}\right)}}{3465 \, d}"," ",0,"2/3465*(3465*sqrt(d*x + c)*a^3*c^2 + 2310*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^3*c + 3465*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^2*b*c^2/d + 231*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^3 + 693*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a*b^2*c^2/d^2 + 1386*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^2*b*c/d + 99*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*b^3*c^2/d^3 + 594*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a*b^2*c/d^2 + 297*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^2*b/d + 22*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*b^3*c/d^3 + 33*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a*b^2/d^2 + 5*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*b^3/d^3)/d","B",0
1390,1,360,0,1.413149," ","integrate((b*x+a)^2*(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(315 \, \sqrt{d x + c} a^{2} c^{2} + 210 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{2} c + \frac{210 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a b c^{2}}{d} + 21 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{2} + \frac{21 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} b^{2} c^{2}}{d^{2}} + \frac{84 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a b c}{d} + \frac{18 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} b^{2} c}{d^{2}} + \frac{18 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a b}{d} + \frac{{\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} b^{2}}{d^{2}}\right)}}{315 \, d}"," ",0,"2/315*(315*sqrt(d*x + c)*a^2*c^2 + 210*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^2*c + 210*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a*b*c^2/d + 21*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^2 + 21*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*b^2*c^2/d^2 + 84*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a*b*c/d + 18*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*b^2*c/d^2 + 18*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a*b/d + (35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*b^2/d^2)/d","B",0
1391,1,192,0,1.226746," ","integrate((b*x+a)*(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(105 \, \sqrt{d x + c} a c^{2} + 70 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a c + \frac{35 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} b c^{2}}{d} + 7 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a + \frac{14 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} b c}{d} + \frac{3 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} b}{d}\right)}}{105 \, d}"," ",0,"2/105*(105*sqrt(d*x + c)*a*c^2 + 70*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a*c + 35*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*b*c^2/d + 7*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a + 14*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*b*c/d + 3*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*b/d)/d","B",0
1392,1,58,0,1.244397," ","integrate((d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 30 \, \sqrt{d x + c} c^{2} + 10 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} c\right)}}{15 \, d}"," ",0,"2/15*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 30*sqrt(d*x + c)*c^2 + 10*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*c)/d","B",0
1393,1,105,0,1.286683," ","integrate((d*x+c)^(3/2)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} b^{2}} + \frac{2 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} b^{2} + 3 \, \sqrt{d x + c} b^{2} c - 3 \, \sqrt{d x + c} a b d\right)}}{3 \, b^{3}}"," ",0,"2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^2) + 2/3*((d*x + c)^(3/2)*b^2 + 3*sqrt(d*x + c)*b^2*c - 3*sqrt(d*x + c)*a*b*d)/b^3","A",0
1394,1,113,0,1.299369," ","integrate((d*x+c)^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{2 \, \sqrt{d x + c} d}{b^{2}} + \frac{3 \, {\left(b c d - a d^{2}\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} b^{2}} - \frac{\sqrt{d x + c} b c d - \sqrt{d x + c} a d^{2}}{{\left({\left(d x + c\right)} b - b c + a d\right)} b^{2}}"," ",0,"2*sqrt(d*x + c)*d/b^2 + 3*(b*c*d - a*d^2)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^2) - (sqrt(d*x + c)*b*c*d - sqrt(d*x + c)*a*d^2)/(((d*x + c)*b - b*c + a*d)*b^2)","A",0
1395,1,108,0,1.357194," ","integrate((d*x+c)^(3/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{3 \, d^{2} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, \sqrt{-b^{2} c + a b d} b^{2}} - \frac{5 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 3 \, \sqrt{d x + c} b c d^{2} + 3 \, \sqrt{d x + c} a d^{3}}{4 \, {\left({\left(d x + c\right)} b - b c + a d\right)}^{2} b^{2}}"," ",0,"3/4*d^2*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^2) - 1/4*(5*(d*x + c)^(3/2)*b*d^2 - 3*sqrt(d*x + c)*b*c*d^2 + 3*sqrt(d*x + c)*a*d^3)/(((d*x + c)*b - b*c + a*d)^2*b^2)","A",0
1396,1,185,0,1.400380," ","integrate((d*x+c)^(3/2)/(b*x+a)^4,x, algorithm=""giac"")","-\frac{d^{3} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{8 \, {\left(b^{3} c - a b^{2} d\right)} \sqrt{-b^{2} c + a b d}} - \frac{3 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d^{3} + 8 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d^{3} - 3 \, \sqrt{d x + c} b^{2} c^{2} d^{3} - 8 \, {\left(d x + c\right)}^{\frac{3}{2}} a b d^{4} + 6 \, \sqrt{d x + c} a b c d^{4} - 3 \, \sqrt{d x + c} a^{2} d^{5}}{24 \, {\left(b^{3} c - a b^{2} d\right)} {\left({\left(d x + c\right)} b - b c + a d\right)}^{3}}"," ",0,"-1/8*d^3*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^3*c - a*b^2*d)*sqrt(-b^2*c + a*b*d)) - 1/24*(3*(d*x + c)^(5/2)*b^2*d^3 + 8*(d*x + c)^(3/2)*b^2*c*d^3 - 3*sqrt(d*x + c)*b^2*c^2*d^3 - 8*(d*x + c)^(3/2)*a*b*d^4 + 6*sqrt(d*x + c)*a*b*c*d^4 - 3*sqrt(d*x + c)*a^2*d^5)/((b^3*c - a*b^2*d)*((d*x + c)*b - b*c + a*d)^3)","A",0
1397,1,285,0,1.467041," ","integrate((d*x+c)^(3/2)/(b*x+a)^5,x, algorithm=""giac"")","\frac{3 \, d^{4} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{64 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} \sqrt{-b^{2} c + a b d}} + \frac{3 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{3} d^{4} - 11 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{3} c d^{4} - 11 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} c^{2} d^{4} + 3 \, \sqrt{d x + c} b^{3} c^{3} d^{4} + 11 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{2} d^{5} + 22 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{2} c d^{5} - 9 \, \sqrt{d x + c} a b^{2} c^{2} d^{5} - 11 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b d^{6} + 9 \, \sqrt{d x + c} a^{2} b c d^{6} - 3 \, \sqrt{d x + c} a^{3} d^{7}}{64 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} {\left({\left(d x + c\right)} b - b c + a d\right)}^{4}}"," ",0,"3/64*d^4*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*sqrt(-b^2*c + a*b*d)) + 1/64*(3*(d*x + c)^(7/2)*b^3*d^4 - 11*(d*x + c)^(5/2)*b^3*c*d^4 - 11*(d*x + c)^(3/2)*b^3*c^2*d^4 + 3*sqrt(d*x + c)*b^3*c^3*d^4 + 11*(d*x + c)^(5/2)*a*b^2*d^5 + 22*(d*x + c)^(3/2)*a*b^2*c*d^5 - 9*sqrt(d*x + c)*a*b^2*c^2*d^5 - 11*(d*x + c)^(3/2)*a^2*b*d^6 + 9*sqrt(d*x + c)*a^2*b*c*d^6 - 3*sqrt(d*x + c)*a^3*d^7)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*((d*x + c)*b - b*c + a*d)^4)","A",0
1398,1,410,0,1.391572," ","integrate((d*x+c)^(3/2)/(b*x+a)^6,x, algorithm=""giac"")","-\frac{3 \, d^{5} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{128 \, {\left(b^{5} c^{3} - 3 \, a b^{4} c^{2} d + 3 \, a^{2} b^{3} c d^{2} - a^{3} b^{2} d^{3}\right)} \sqrt{-b^{2} c + a b d}} - \frac{15 \, {\left(d x + c\right)}^{\frac{9}{2}} b^{4} d^{5} - 70 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{4} c d^{5} + 128 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{4} c^{2} d^{5} + 70 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{4} c^{3} d^{5} - 15 \, \sqrt{d x + c} b^{4} c^{4} d^{5} + 70 \, {\left(d x + c\right)}^{\frac{7}{2}} a b^{3} d^{6} - 256 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{3} c d^{6} - 210 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{3} c^{2} d^{6} + 60 \, \sqrt{d x + c} a b^{3} c^{3} d^{6} + 128 \, {\left(d x + c\right)}^{\frac{5}{2}} a^{2} b^{2} d^{7} + 210 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b^{2} c d^{7} - 90 \, \sqrt{d x + c} a^{2} b^{2} c^{2} d^{7} - 70 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{3} b d^{8} + 60 \, \sqrt{d x + c} a^{3} b c d^{8} - 15 \, \sqrt{d x + c} a^{4} d^{9}}{640 \, {\left(b^{5} c^{3} - 3 \, a b^{4} c^{2} d + 3 \, a^{2} b^{3} c d^{2} - a^{3} b^{2} d^{3}\right)} {\left({\left(d x + c\right)} b - b c + a d\right)}^{5}}"," ",0,"-3/128*d^5*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^5*c^3 - 3*a*b^4*c^2*d + 3*a^2*b^3*c*d^2 - a^3*b^2*d^3)*sqrt(-b^2*c + a*b*d)) - 1/640*(15*(d*x + c)^(9/2)*b^4*d^5 - 70*(d*x + c)^(7/2)*b^4*c*d^5 + 128*(d*x + c)^(5/2)*b^4*c^2*d^5 + 70*(d*x + c)^(3/2)*b^4*c^3*d^5 - 15*sqrt(d*x + c)*b^4*c^4*d^5 + 70*(d*x + c)^(7/2)*a*b^3*d^6 - 256*(d*x + c)^(5/2)*a*b^3*c*d^6 - 210*(d*x + c)^(3/2)*a*b^3*c^2*d^6 + 60*sqrt(d*x + c)*a*b^3*c^3*d^6 + 128*(d*x + c)^(5/2)*a^2*b^2*d^7 + 210*(d*x + c)^(3/2)*a^2*b^2*c*d^7 - 90*sqrt(d*x + c)*a^2*b^2*c^2*d^7 - 70*(d*x + c)^(3/2)*a^3*b*d^8 + 60*sqrt(d*x + c)*a^3*b*c*d^8 - 15*sqrt(d*x + c)*a^4*d^9)/((b^5*c^3 - 3*a*b^4*c^2*d + 3*a^2*b^3*c*d^2 - a^3*b^2*d^3)*((d*x + c)*b - b*c + a*d)^5)","B",0
1399,1,1599,0,1.521783," ","integrate((b*x+a)^5*(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(765765 \, \sqrt{d x + c} a^{5} c^{3} + 765765 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{5} c^{2} + \frac{1276275 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{4} b c^{3}}{d} + 153153 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{5} c + \frac{510510 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{3} b^{2} c^{3}}{d^{2}} + \frac{765765 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{4} b c^{2}}{d} + 21879 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{5} + \frac{218790 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{2} b^{3} c^{3}}{d^{3}} + \frac{656370 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{3} b^{2} c^{2}}{d^{2}} + \frac{328185 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{4} b c}{d} + \frac{12155 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a b^{4} c^{3}}{d^{4}} + \frac{72930 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a^{2} b^{3} c^{2}}{d^{3}} + \frac{72930 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a^{3} b^{2} c}{d^{2}} + \frac{12155 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a^{4} b}{d} + \frac{1105 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} b^{5} c^{3}}{d^{5}} + \frac{16575 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} a b^{4} c^{2}}{d^{4}} + \frac{33150 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} a^{2} b^{3} c}{d^{3}} + \frac{11050 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} a^{3} b^{2}}{d^{2}} + \frac{765 \, {\left(231 \, {\left(d x + c\right)}^{\frac{13}{2}} - 1638 \, {\left(d x + c\right)}^{\frac{11}{2}} c + 5005 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{2} - 8580 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{3} + 9009 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{4} - 6006 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{5} + 3003 \, \sqrt{d x + c} c^{6}\right)} b^{5} c^{2}}{d^{5}} + \frac{3825 \, {\left(231 \, {\left(d x + c\right)}^{\frac{13}{2}} - 1638 \, {\left(d x + c\right)}^{\frac{11}{2}} c + 5005 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{2} - 8580 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{3} + 9009 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{4} - 6006 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{5} + 3003 \, \sqrt{d x + c} c^{6}\right)} a b^{4} c}{d^{4}} + \frac{2550 \, {\left(231 \, {\left(d x + c\right)}^{\frac{13}{2}} - 1638 \, {\left(d x + c\right)}^{\frac{11}{2}} c + 5005 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{2} - 8580 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{3} + 9009 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{4} - 6006 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{5} + 3003 \, \sqrt{d x + c} c^{6}\right)} a^{2} b^{3}}{d^{3}} + \frac{357 \, {\left(429 \, {\left(d x + c\right)}^{\frac{15}{2}} - 3465 \, {\left(d x + c\right)}^{\frac{13}{2}} c + 12285 \, {\left(d x + c\right)}^{\frac{11}{2}} c^{2} - 25025 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{3} + 32175 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{4} - 27027 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{5} + 15015 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{6} - 6435 \, \sqrt{d x + c} c^{7}\right)} b^{5} c}{d^{5}} + \frac{595 \, {\left(429 \, {\left(d x + c\right)}^{\frac{15}{2}} - 3465 \, {\left(d x + c\right)}^{\frac{13}{2}} c + 12285 \, {\left(d x + c\right)}^{\frac{11}{2}} c^{2} - 25025 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{3} + 32175 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{4} - 27027 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{5} + 15015 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{6} - 6435 \, \sqrt{d x + c} c^{7}\right)} a b^{4}}{d^{4}} + \frac{7 \, {\left(6435 \, {\left(d x + c\right)}^{\frac{17}{2}} - 58344 \, {\left(d x + c\right)}^{\frac{15}{2}} c + 235620 \, {\left(d x + c\right)}^{\frac{13}{2}} c^{2} - 556920 \, {\left(d x + c\right)}^{\frac{11}{2}} c^{3} + 850850 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{4} - 875160 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{5} + 612612 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{6} - 291720 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{7} + 109395 \, \sqrt{d x + c} c^{8}\right)} b^{5}}{d^{5}}\right)}}{765765 \, d}"," ",0,"2/765765*(765765*sqrt(d*x + c)*a^5*c^3 + 765765*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^5*c^2 + 1276275*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^4*b*c^3/d + 153153*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^5*c + 510510*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^3*b^2*c^3/d^2 + 765765*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^4*b*c^2/d + 21879*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^5 + 218790*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^2*b^3*c^3/d^3 + 656370*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^3*b^2*c^2/d^2 + 328185*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^4*b*c/d + 12155*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a*b^4*c^3/d^4 + 72930*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a^2*b^3*c^2/d^3 + 72930*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a^3*b^2*c/d^2 + 12155*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a^4*b/d + 1105*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*b^5*c^3/d^5 + 16575*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*a*b^4*c^2/d^4 + 33150*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*a^2*b^3*c/d^3 + 11050*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*a^3*b^2/d^2 + 765*(231*(d*x + c)^(13/2) - 1638*(d*x + c)^(11/2)*c + 5005*(d*x + c)^(9/2)*c^2 - 8580*(d*x + c)^(7/2)*c^3 + 9009*(d*x + c)^(5/2)*c^4 - 6006*(d*x + c)^(3/2)*c^5 + 3003*sqrt(d*x + c)*c^6)*b^5*c^2/d^5 + 3825*(231*(d*x + c)^(13/2) - 1638*(d*x + c)^(11/2)*c + 5005*(d*x + c)^(9/2)*c^2 - 8580*(d*x + c)^(7/2)*c^3 + 9009*(d*x + c)^(5/2)*c^4 - 6006*(d*x + c)^(3/2)*c^5 + 3003*sqrt(d*x + c)*c^6)*a*b^4*c/d^4 + 2550*(231*(d*x + c)^(13/2) - 1638*(d*x + c)^(11/2)*c + 5005*(d*x + c)^(9/2)*c^2 - 8580*(d*x + c)^(7/2)*c^3 + 9009*(d*x + c)^(5/2)*c^4 - 6006*(d*x + c)^(3/2)*c^5 + 3003*sqrt(d*x + c)*c^6)*a^2*b^3/d^3 + 357*(429*(d*x + c)^(15/2) - 3465*(d*x + c)^(13/2)*c + 12285*(d*x + c)^(11/2)*c^2 - 25025*(d*x + c)^(9/2)*c^3 + 32175*(d*x + c)^(7/2)*c^4 - 27027*(d*x + c)^(5/2)*c^5 + 15015*(d*x + c)^(3/2)*c^6 - 6435*sqrt(d*x + c)*c^7)*b^5*c/d^5 + 595*(429*(d*x + c)^(15/2) - 3465*(d*x + c)^(13/2)*c + 12285*(d*x + c)^(11/2)*c^2 - 25025*(d*x + c)^(9/2)*c^3 + 32175*(d*x + c)^(7/2)*c^4 - 27027*(d*x + c)^(5/2)*c^5 + 15015*(d*x + c)^(3/2)*c^6 - 6435*sqrt(d*x + c)*c^7)*a*b^4/d^4 + 7*(6435*(d*x + c)^(17/2) - 58344*(d*x + c)^(15/2)*c + 235620*(d*x + c)^(13/2)*c^2 - 556920*(d*x + c)^(11/2)*c^3 + 850850*(d*x + c)^(9/2)*c^4 - 875160*(d*x + c)^(7/2)*c^5 + 612612*(d*x + c)^(5/2)*c^6 - 291720*(d*x + c)^(3/2)*c^7 + 109395*sqrt(d*x + c)*c^8)*b^5/d^5)/d","B",0
1400,1,1204,0,1.446592," ","integrate((b*x+a)^4*(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(45045 \, \sqrt{d x + c} a^{4} c^{3} + 45045 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{4} c^{2} + \frac{60060 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{3} b c^{3}}{d} + 9009 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{4} c + \frac{18018 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{2} b^{2} c^{3}}{d^{2}} + \frac{36036 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{3} b c^{2}}{d} + 1287 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{4} + \frac{5148 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a b^{3} c^{3}}{d^{3}} + \frac{23166 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{2} b^{2} c^{2}}{d^{2}} + \frac{15444 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{3} b c}{d} + \frac{143 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} b^{4} c^{3}}{d^{4}} + \frac{1716 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a b^{3} c^{2}}{d^{3}} + \frac{2574 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a^{2} b^{2} c}{d^{2}} + \frac{572 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a^{3} b}{d} + \frac{195 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} b^{4} c^{2}}{d^{4}} + \frac{780 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} a b^{3} c}{d^{3}} + \frac{390 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} a^{2} b^{2}}{d^{2}} + \frac{45 \, {\left(231 \, {\left(d x + c\right)}^{\frac{13}{2}} - 1638 \, {\left(d x + c\right)}^{\frac{11}{2}} c + 5005 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{2} - 8580 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{3} + 9009 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{4} - 6006 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{5} + 3003 \, \sqrt{d x + c} c^{6}\right)} b^{4} c}{d^{4}} + \frac{60 \, {\left(231 \, {\left(d x + c\right)}^{\frac{13}{2}} - 1638 \, {\left(d x + c\right)}^{\frac{11}{2}} c + 5005 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{2} - 8580 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{3} + 9009 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{4} - 6006 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{5} + 3003 \, \sqrt{d x + c} c^{6}\right)} a b^{3}}{d^{3}} + \frac{7 \, {\left(429 \, {\left(d x + c\right)}^{\frac{15}{2}} - 3465 \, {\left(d x + c\right)}^{\frac{13}{2}} c + 12285 \, {\left(d x + c\right)}^{\frac{11}{2}} c^{2} - 25025 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{3} + 32175 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{4} - 27027 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{5} + 15015 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{6} - 6435 \, \sqrt{d x + c} c^{7}\right)} b^{4}}{d^{4}}\right)}}{45045 \, d}"," ",0,"2/45045*(45045*sqrt(d*x + c)*a^4*c^3 + 45045*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^4*c^2 + 60060*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^3*b*c^3/d + 9009*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^4*c + 18018*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^2*b^2*c^3/d^2 + 36036*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^3*b*c^2/d + 1287*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^4 + 5148*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a*b^3*c^3/d^3 + 23166*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^2*b^2*c^2/d^2 + 15444*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^3*b*c/d + 143*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*b^4*c^3/d^4 + 1716*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a*b^3*c^2/d^3 + 2574*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a^2*b^2*c/d^2 + 572*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a^3*b/d + 195*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*b^4*c^2/d^4 + 780*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*a*b^3*c/d^3 + 390*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*a^2*b^2/d^2 + 45*(231*(d*x + c)^(13/2) - 1638*(d*x + c)^(11/2)*c + 5005*(d*x + c)^(9/2)*c^2 - 8580*(d*x + c)^(7/2)*c^3 + 9009*(d*x + c)^(5/2)*c^4 - 6006*(d*x + c)^(3/2)*c^5 + 3003*sqrt(d*x + c)*c^6)*b^4*c/d^4 + 60*(231*(d*x + c)^(13/2) - 1638*(d*x + c)^(11/2)*c + 5005*(d*x + c)^(9/2)*c^2 - 8580*(d*x + c)^(7/2)*c^3 + 9009*(d*x + c)^(5/2)*c^4 - 6006*(d*x + c)^(3/2)*c^5 + 3003*sqrt(d*x + c)*c^6)*a*b^3/d^3 + 7*(429*(d*x + c)^(15/2) - 3465*(d*x + c)^(13/2)*c + 12285*(d*x + c)^(11/2)*c^2 - 25025*(d*x + c)^(9/2)*c^3 + 32175*(d*x + c)^(7/2)*c^4 - 27027*(d*x + c)^(5/2)*c^5 + 15015*(d*x + c)^(3/2)*c^6 - 6435*sqrt(d*x + c)*c^7)*b^4/d^4)/d","B",0
1401,1,857,0,1.579437," ","integrate((b*x+a)^3*(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(15015 \, \sqrt{d x + c} a^{3} c^{3} + 15015 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{3} c^{2} + \frac{15015 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{2} b c^{3}}{d} + 3003 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{3} c + \frac{3003 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a b^{2} c^{3}}{d^{2}} + \frac{9009 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{2} b c^{2}}{d} + 429 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{3} + \frac{429 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} b^{3} c^{3}}{d^{3}} + \frac{3861 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a b^{2} c^{2}}{d^{2}} + \frac{3861 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{2} b c}{d} + \frac{143 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} b^{3} c^{2}}{d^{3}} + \frac{429 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a b^{2} c}{d^{2}} + \frac{143 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a^{2} b}{d} + \frac{65 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} b^{3} c}{d^{3}} + \frac{65 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} a b^{2}}{d^{2}} + \frac{5 \, {\left(231 \, {\left(d x + c\right)}^{\frac{13}{2}} - 1638 \, {\left(d x + c\right)}^{\frac{11}{2}} c + 5005 \, {\left(d x + c\right)}^{\frac{9}{2}} c^{2} - 8580 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{3} + 9009 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{4} - 6006 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{5} + 3003 \, \sqrt{d x + c} c^{6}\right)} b^{3}}{d^{3}}\right)}}{15015 \, d}"," ",0,"2/15015*(15015*sqrt(d*x + c)*a^3*c^3 + 15015*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^3*c^2 + 15015*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^2*b*c^3/d + 3003*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^3*c + 3003*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a*b^2*c^3/d^2 + 9009*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^2*b*c^2/d + 429*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^3 + 429*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*b^3*c^3/d^3 + 3861*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a*b^2*c^2/d^2 + 3861*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^2*b*c/d + 143*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*b^3*c^2/d^3 + 429*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a*b^2*c/d^2 + 143*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a^2*b/d + 65*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*b^3*c/d^3 + 65*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*a*b^2/d^2 + 5*(231*(d*x + c)^(13/2) - 1638*(d*x + c)^(11/2)*c + 5005*(d*x + c)^(9/2)*c^2 - 8580*(d*x + c)^(7/2)*c^3 + 9009*(d*x + c)^(5/2)*c^4 - 6006*(d*x + c)^(3/2)*c^5 + 3003*sqrt(d*x + c)*c^6)*b^3/d^3)/d","B",0
1402,1,558,0,1.764074," ","integrate((b*x+a)^2*(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(3465 \, \sqrt{d x + c} a^{2} c^{3} + 3465 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{2} c^{2} + \frac{2310 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a b c^{3}}{d} + 693 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{2} c + \frac{231 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} b^{2} c^{3}}{d^{2}} + \frac{1386 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a b c^{2}}{d} + 99 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{2} + \frac{297 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} b^{2} c^{2}}{d^{2}} + \frac{594 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a b c}{d} + \frac{33 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} b^{2} c}{d^{2}} + \frac{22 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a b}{d} + \frac{5 \, {\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} b^{2}}{d^{2}}\right)}}{3465 \, d}"," ",0,"2/3465*(3465*sqrt(d*x + c)*a^2*c^3 + 3465*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^2*c^2 + 2310*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a*b*c^3/d + 693*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^2*c + 231*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*b^2*c^3/d^2 + 1386*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a*b*c^2/d + 99*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^2 + 297*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*b^2*c^2/d^2 + 594*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a*b*c/d + 33*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*b^2*c/d^2 + 22*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a*b/d + 5*(63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*b^2/d^2)/d","B",0
1403,1,306,0,1.614791," ","integrate((b*x+a)*(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(315 \, \sqrt{d x + c} a c^{3} + 315 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a c^{2} + \frac{105 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} b c^{3}}{d} + 63 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a c + \frac{63 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} b c^{2}}{d} + 9 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a + \frac{27 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} b c}{d} + \frac{{\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} b}{d}\right)}}{315 \, d}"," ",0,"2/315*(315*sqrt(d*x + c)*a*c^3 + 315*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a*c^2 + 105*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*b*c^3/d + 63*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a*c + 63*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*b*c^2/d + 9*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a + 27*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*b*c/d + (35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*b/d)/d","B",0
1404,1,95,0,1.780827," ","integrate((d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} + 35 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} c^{2} + 7 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} c\right)}}{35 \, d}"," ",0,"2/35*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 + 35*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*c^2 + 7*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*c)/d","B",0
1405,1,171,0,1.597837," ","integrate((d*x+c)^(5/2)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} b^{3}} + \frac{2 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{4} + 5 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{4} c + 15 \, \sqrt{d x + c} b^{4} c^{2} - 5 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{3} d - 30 \, \sqrt{d x + c} a b^{3} c d + 15 \, \sqrt{d x + c} a^{2} b^{2} d^{2}\right)}}{15 \, b^{5}}"," ",0,"2*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^3) + 2/15*(3*(d*x + c)^(5/2)*b^4 + 5*(d*x + c)^(3/2)*b^4*c + 15*sqrt(d*x + c)*b^4*c^2 - 5*(d*x + c)^(3/2)*a*b^3*d - 30*sqrt(d*x + c)*a*b^3*c*d + 15*sqrt(d*x + c)*a^2*b^2*d^2)/b^5","A",0
1406,1,181,0,1.276809," ","integrate((d*x+c)^(5/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{5 \, {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} b^{3}} - \frac{\sqrt{d x + c} b^{2} c^{2} d - 2 \, \sqrt{d x + c} a b c d^{2} + \sqrt{d x + c} a^{2} d^{3}}{{\left({\left(d x + c\right)} b - b c + a d\right)} b^{3}} + \frac{2 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} b^{4} d + 6 \, \sqrt{d x + c} b^{4} c d - 6 \, \sqrt{d x + c} a b^{3} d^{2}\right)}}{3 \, b^{6}}"," ",0,"5*(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^3) - (sqrt(d*x + c)*b^2*c^2*d - 2*sqrt(d*x + c)*a*b*c*d^2 + sqrt(d*x + c)*a^2*d^3)/(((d*x + c)*b - b*c + a*d)*b^3) + 2/3*((d*x + c)^(3/2)*b^4*d + 6*sqrt(d*x + c)*b^4*c*d - 6*sqrt(d*x + c)*a*b^3*d^2)/b^6","A",0
1407,1,171,0,1.241676," ","integrate((d*x+c)^(5/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{2 \, \sqrt{d x + c} d^{2}}{b^{3}} + \frac{15 \, {\left(b c d^{2} - a d^{3}\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, \sqrt{-b^{2} c + a b d} b^{3}} - \frac{9 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d^{2} - 7 \, \sqrt{d x + c} b^{2} c^{2} d^{2} - 9 \, {\left(d x + c\right)}^{\frac{3}{2}} a b d^{3} + 14 \, \sqrt{d x + c} a b c d^{3} - 7 \, \sqrt{d x + c} a^{2} d^{4}}{4 \, {\left({\left(d x + c\right)} b - b c + a d\right)}^{2} b^{3}}"," ",0,"2*sqrt(d*x + c)*d^2/b^3 + 15/4*(b*c*d^2 - a*d^3)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^3) - 1/4*(9*(d*x + c)^(3/2)*b^2*c*d^2 - 7*sqrt(d*x + c)*b^2*c^2*d^2 - 9*(d*x + c)^(3/2)*a*b*d^3 + 14*sqrt(d*x + c)*a*b*c*d^3 - 7*sqrt(d*x + c)*a^2*d^4)/(((d*x + c)*b - b*c + a*d)^2*b^3)","A",0
1408,1,161,0,0.984642," ","integrate((d*x+c)^(5/2)/(b*x+a)^4,x, algorithm=""giac"")","\frac{5 \, d^{3} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{8 \, \sqrt{-b^{2} c + a b d} b^{3}} - \frac{33 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d^{3} - 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d^{3} + 15 \, \sqrt{d x + c} b^{2} c^{2} d^{3} + 40 \, {\left(d x + c\right)}^{\frac{3}{2}} a b d^{4} - 30 \, \sqrt{d x + c} a b c d^{4} + 15 \, \sqrt{d x + c} a^{2} d^{5}}{24 \, {\left({\left(d x + c\right)} b - b c + a d\right)}^{3} b^{3}}"," ",0,"5/8*d^3*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^3) - 1/24*(33*(d*x + c)^(5/2)*b^2*d^3 - 40*(d*x + c)^(3/2)*b^2*c*d^3 + 15*sqrt(d*x + c)*b^2*c^2*d^3 + 40*(d*x + c)^(3/2)*a*b*d^4 - 30*sqrt(d*x + c)*a*b*c*d^4 + 15*sqrt(d*x + c)*a^2*d^5)/(((d*x + c)*b - b*c + a*d)^3*b^3)","A",0
1409,1,259,0,1.090664," ","integrate((d*x+c)^(5/2)/(b*x+a)^5,x, algorithm=""giac"")","-\frac{5 \, d^{4} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{64 \, {\left(b^{4} c - a b^{3} d\right)} \sqrt{-b^{2} c + a b d}} - \frac{15 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{3} d^{4} + 73 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{3} c d^{4} - 55 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} c^{2} d^{4} + 15 \, \sqrt{d x + c} b^{3} c^{3} d^{4} - 73 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{2} d^{5} + 110 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{2} c d^{5} - 45 \, \sqrt{d x + c} a b^{2} c^{2} d^{5} - 55 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b d^{6} + 45 \, \sqrt{d x + c} a^{2} b c d^{6} - 15 \, \sqrt{d x + c} a^{3} d^{7}}{192 \, {\left(b^{4} c - a b^{3} d\right)} {\left({\left(d x + c\right)} b - b c + a d\right)}^{4}}"," ",0,"-5/64*d^4*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^4*c - a*b^3*d)*sqrt(-b^2*c + a*b*d)) - 1/192*(15*(d*x + c)^(7/2)*b^3*d^4 + 73*(d*x + c)^(5/2)*b^3*c*d^4 - 55*(d*x + c)^(3/2)*b^3*c^2*d^4 + 15*sqrt(d*x + c)*b^3*c^3*d^4 - 73*(d*x + c)^(5/2)*a*b^2*d^5 + 110*(d*x + c)^(3/2)*a*b^2*c*d^5 - 45*sqrt(d*x + c)*a*b^2*c^2*d^5 - 55*(d*x + c)^(3/2)*a^2*b*d^6 + 45*sqrt(d*x + c)*a^2*b*c*d^6 - 15*sqrt(d*x + c)*a^3*d^7)/((b^4*c - a*b^3*d)*((d*x + c)*b - b*c + a*d)^4)","A",0
1410,1,380,0,1.251054," ","integrate((d*x+c)^(5/2)/(b*x+a)^6,x, algorithm=""giac"")","\frac{3 \, d^{5} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{128 \, {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} \sqrt{-b^{2} c + a b d}} + \frac{15 \, {\left(d x + c\right)}^{\frac{9}{2}} b^{4} d^{5} - 70 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{4} c d^{5} - 128 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{4} c^{2} d^{5} + 70 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{4} c^{3} d^{5} - 15 \, \sqrt{d x + c} b^{4} c^{4} d^{5} + 70 \, {\left(d x + c\right)}^{\frac{7}{2}} a b^{3} d^{6} + 256 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{3} c d^{6} - 210 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{3} c^{2} d^{6} + 60 \, \sqrt{d x + c} a b^{3} c^{3} d^{6} - 128 \, {\left(d x + c\right)}^{\frac{5}{2}} a^{2} b^{2} d^{7} + 210 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b^{2} c d^{7} - 90 \, \sqrt{d x + c} a^{2} b^{2} c^{2} d^{7} - 70 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{3} b d^{8} + 60 \, \sqrt{d x + c} a^{3} b c d^{8} - 15 \, \sqrt{d x + c} a^{4} d^{9}}{640 \, {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} {\left({\left(d x + c\right)} b - b c + a d\right)}^{5}}"," ",0,"3/128*d^5*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*sqrt(-b^2*c + a*b*d)) + 1/640*(15*(d*x + c)^(9/2)*b^4*d^5 - 70*(d*x + c)^(7/2)*b^4*c*d^5 - 128*(d*x + c)^(5/2)*b^4*c^2*d^5 + 70*(d*x + c)^(3/2)*b^4*c^3*d^5 - 15*sqrt(d*x + c)*b^4*c^4*d^5 + 70*(d*x + c)^(7/2)*a*b^3*d^6 + 256*(d*x + c)^(5/2)*a*b^3*c*d^6 - 210*(d*x + c)^(3/2)*a*b^3*c^2*d^6 + 60*sqrt(d*x + c)*a*b^3*c^3*d^6 - 128*(d*x + c)^(5/2)*a^2*b^2*d^7 + 210*(d*x + c)^(3/2)*a^2*b^2*c*d^7 - 90*sqrt(d*x + c)*a^2*b^2*c^2*d^7 - 70*(d*x + c)^(3/2)*a^3*b*d^8 + 60*sqrt(d*x + c)*a^3*b*c*d^8 - 15*sqrt(d*x + c)*a^4*d^9)/((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*((d*x + c)*b - b*c + a*d)^5)","B",0
1411,1,29,0,0.961516," ","integrate((-1+x)^(1/2)/(1+x)^2,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{x - 1}\right) - \frac{\sqrt{x - 1}}{x + 1}"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(x - 1)) - sqrt(x - 1)/(x + 1)","A",0
1412,1,37,0,1.035909," ","integrate((-1+x)^(1/2)/(1+x)^3,x, algorithm=""giac"")","\frac{1}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{x - 1}\right) + \frac{{\left(x - 1\right)}^{\frac{3}{2}} - 2 \, \sqrt{x - 1}}{8 \, {\left(x + 1\right)}^{2}}"," ",0,"1/16*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(x - 1)) + 1/8*((x - 1)^(3/2) - 2*sqrt(x - 1))/(x + 1)^2","A",0
1413,1,283,0,1.066100," ","integrate((b*x+a)^5/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(693 \, \sqrt{d x + c} a^{5} + \frac{1155 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{4} b}{d} + \frac{462 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{3} b^{2}}{d^{2}} + \frac{198 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a^{2} b^{3}}{d^{3}} + \frac{11 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} a b^{4}}{d^{4}} + \frac{{\left(63 \, {\left(d x + c\right)}^{\frac{11}{2}} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} c + 990 \, {\left(d x + c\right)}^{\frac{7}{2}} c^{2} - 1386 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{3} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{4} - 693 \, \sqrt{d x + c} c^{5}\right)} b^{5}}{d^{5}}\right)}}{693 \, d}"," ",0,"2/693*(693*sqrt(d*x + c)*a^5 + 1155*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^4*b/d + 462*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^3*b^2/d^2 + 198*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a^2*b^3/d^3 + 11*(35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*a*b^4/d^4 + (63*(d*x + c)^(11/2) - 385*(d*x + c)^(9/2)*c + 990*(d*x + c)^(7/2)*c^2 - 1386*(d*x + c)^(5/2)*c^3 + 1155*(d*x + c)^(3/2)*c^4 - 693*sqrt(d*x + c)*c^5)*b^5/d^5)/d","B",0
1414,1,204,0,0.959463," ","integrate((b*x+a)^4/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(315 \, \sqrt{d x + c} a^{4} + \frac{420 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{3} b}{d} + \frac{126 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a^{2} b^{2}}{d^{2}} + \frac{36 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} a b^{3}}{d^{3}} + \frac{{\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} - 180 \, {\left(d x + c\right)}^{\frac{7}{2}} c + 378 \, {\left(d x + c\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{d x + c} c^{4}\right)} b^{4}}{d^{4}}\right)}}{315 \, d}"," ",0,"2/315*(315*sqrt(d*x + c)*a^4 + 420*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^3*b/d + 126*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a^2*b^2/d^2 + 36*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*a*b^3/d^3 + (35*(d*x + c)^(9/2) - 180*(d*x + c)^(7/2)*c + 378*(d*x + c)^(5/2)*c^2 - 420*(d*x + c)^(3/2)*c^3 + 315*sqrt(d*x + c)*c^4)*b^4/d^4)/d","A",0
1415,1,137,0,1.010190," ","integrate((b*x+a)^3/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(35 \, \sqrt{d x + c} a^{3} + \frac{35 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{2} b}{d} + \frac{7 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} a b^{2}}{d^{2}} + \frac{{\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)} b^{3}}{d^{3}}\right)}}{35 \, d}"," ",0,"2/35*(35*sqrt(d*x + c)*a^3 + 35*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^2*b/d + 7*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*a*b^2/d^2 + (5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)*b^3/d^3)/d","A",0
1416,1,82,0,1.098512," ","integrate((b*x+a)^2/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(15 \, \sqrt{d x + c} a^{2} + \frac{10 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a b}{d} + \frac{{\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)} b^{2}}{d^{2}}\right)}}{15 \, d}"," ",0,"2/15*(15*sqrt(d*x + c)*a^2 + 10*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a*b/d + (3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)*b^2/d^2)/d","A",0
1417,1,39,0,0.883691," ","integrate((b*x+a)/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, \sqrt{d x + c} a + \frac{{\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} b}{d}\right)}}{3 \, d}"," ",0,"2/3*(3*sqrt(d*x + c)*a + ((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*b/d)/d","A",0
1418,1,12,0,0.909174," ","integrate(1/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{d x + c}}{d}"," ",0,"2*sqrt(d*x + c)/d","A",0
1419,1,38,0,0.878536," ","integrate(1/(b*x+a)/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d}}"," ",0,"2*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/sqrt(-b^2*c + a*b*d)","A",0
1420,1,87,0,1.030399," ","integrate(1/(b*x+a)^2/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{d \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} {\left(b c - a d\right)}} - \frac{\sqrt{d x + c} d}{{\left({\left(d x + c\right)} b - b c + a d\right)} {\left(b c - a d\right)}}"," ",0,"-d*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*(b*c - a*d)) - sqrt(d*x + c)*d/(((d*x + c)*b - b*c + a*d)*(b*c - a*d))","A",0
1421,1,148,0,0.933052," ","integrate(1/(b*x+a)^3/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{3 \, d^{2} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{-b^{2} c + a b d}} + \frac{3 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 5 \, \sqrt{d x + c} b c d^{2} + 5 \, \sqrt{d x + c} a d^{3}}{4 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left({\left(d x + c\right)} b - b c + a d\right)}^{2}}"," ",0,"3/4*d^2*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(-b^2*c + a*b*d)) + 1/4*(3*(d*x + c)^(3/2)*b*d^2 - 5*sqrt(d*x + c)*b*c*d^2 + 5*sqrt(d*x + c)*a*d^3)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*((d*x + c)*b - b*c + a*d)^2)","A",0
1422,1,231,0,1.020312," ","integrate(1/(b*x+a)^4/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{5 \, d^{3} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{8 \, {\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^{2} c + a b d}} - \frac{15 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d^{3} - 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d^{3} + 33 \, \sqrt{d x + c} b^{2} c^{2} d^{3} + 40 \, {\left(d x + c\right)}^{\frac{3}{2}} a b d^{4} - 66 \, \sqrt{d x + c} a b c d^{4} + 33 \, \sqrt{d x + c} a^{2} d^{5}}{24 \, {\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({\left(d x + c\right)} b - b c + a d\right)}^{3}}"," ",0,"-5/8*d^3*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sqrt(-b^2*c + a*b*d)) - 1/24*(15*(d*x + c)^(5/2)*b^2*d^3 - 40*(d*x + c)^(3/2)*b^2*c*d^3 + 33*sqrt(d*x + c)*b^2*c^2*d^3 + 40*(d*x + c)^(3/2)*a*b*d^4 - 66*sqrt(d*x + c)*a*b*c*d^4 + 33*sqrt(d*x + c)*a^2*d^5)/((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*((d*x + c)*b - b*c + a*d)^3)","A",0
1423,1,331,0,1.133619," ","integrate(1/(b*x+a)^5/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{35 \, d^{4} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{64 \, {\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^{2} c + a b d}} + \frac{105 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{3} d^{4} - 385 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{3} c d^{4} + 511 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} c^{2} d^{4} - 279 \, \sqrt{d x + c} b^{3} c^{3} d^{4} + 385 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{2} d^{5} - 1022 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{2} c d^{5} + 837 \, \sqrt{d x + c} a b^{2} c^{2} d^{5} + 511 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b d^{6} - 837 \, \sqrt{d x + c} a^{2} b c d^{6} + 279 \, \sqrt{d x + c} a^{3} d^{7}}{192 \, {\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({\left(d x + c\right)} b - b c + a d\right)}^{4}}"," ",0,"35/64*d^4*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*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)*sqrt(-b^2*c + a*b*d)) + 1/192*(105*(d*x + c)^(7/2)*b^3*d^4 - 385*(d*x + c)^(5/2)*b^3*c*d^4 + 511*(d*x + c)^(3/2)*b^3*c^2*d^4 - 279*sqrt(d*x + c)*b^3*c^3*d^4 + 385*(d*x + c)^(5/2)*a*b^2*d^5 - 1022*(d*x + c)^(3/2)*a*b^2*c*d^5 + 837*sqrt(d*x + c)*a*b^2*c^2*d^5 + 511*(d*x + c)^(3/2)*a^2*b*d^6 - 837*sqrt(d*x + c)*a^2*b*c*d^6 + 279*sqrt(d*x + c)*a^3*d^7)/((b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)*((d*x + c)*b - b*c + a*d)^4)","B",0
1424,1,350,0,1.008247," ","integrate((b*x+a)^5/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}\right)}}{\sqrt{d x + c} d^{6}} + \frac{2 \, {\left(7 \, {\left(d x + c\right)}^{\frac{9}{2}} b^{5} d^{48} - 45 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{5} c d^{48} + 126 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{5} c^{2} d^{48} - 210 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{5} c^{3} d^{48} + 315 \, \sqrt{d x + c} b^{5} c^{4} d^{48} + 45 \, {\left(d x + c\right)}^{\frac{7}{2}} a b^{4} d^{49} - 252 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{4} c d^{49} + 630 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{4} c^{2} d^{49} - 1260 \, \sqrt{d x + c} a b^{4} c^{3} d^{49} + 126 \, {\left(d x + c\right)}^{\frac{5}{2}} a^{2} b^{3} d^{50} - 630 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b^{3} c d^{50} + 1890 \, \sqrt{d x + c} a^{2} b^{3} c^{2} d^{50} + 210 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{3} b^{2} d^{51} - 1260 \, \sqrt{d x + c} a^{3} b^{2} c d^{51} + 315 \, \sqrt{d x + c} a^{4} b d^{52}\right)}}{63 \, d^{54}}"," ",0,"2*(b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5)/(sqrt(d*x + c)*d^6) + 2/63*(7*(d*x + c)^(9/2)*b^5*d^48 - 45*(d*x + c)^(7/2)*b^5*c*d^48 + 126*(d*x + c)^(5/2)*b^5*c^2*d^48 - 210*(d*x + c)^(3/2)*b^5*c^3*d^48 + 315*sqrt(d*x + c)*b^5*c^4*d^48 + 45*(d*x + c)^(7/2)*a*b^4*d^49 - 252*(d*x + c)^(5/2)*a*b^4*c*d^49 + 630*(d*x + c)^(3/2)*a*b^4*c^2*d^49 - 1260*sqrt(d*x + c)*a*b^4*c^3*d^49 + 126*(d*x + c)^(5/2)*a^2*b^3*d^50 - 630*(d*x + c)^(3/2)*a^2*b^3*c*d^50 + 1890*sqrt(d*x + c)*a^2*b^3*c^2*d^50 + 210*(d*x + c)^(3/2)*a^3*b^2*d^51 - 1260*sqrt(d*x + c)*a^3*b^2*c*d^51 + 315*sqrt(d*x + c)*a^4*b*d^52)/d^54","B",0
1425,1,240,0,1.081958," ","integrate((b*x+a)^4/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}\right)}}{\sqrt{d x + c} d^{5}} + \frac{2 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{4} d^{30} - 28 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{4} c d^{30} + 70 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{4} c^{2} d^{30} - 140 \, \sqrt{d x + c} b^{4} c^{3} d^{30} + 28 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{3} d^{31} - 140 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{3} c d^{31} + 420 \, \sqrt{d x + c} a b^{3} c^{2} d^{31} + 70 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b^{2} d^{32} - 420 \, \sqrt{d x + c} a^{2} b^{2} c d^{32} + 140 \, \sqrt{d x + c} a^{3} b d^{33}\right)}}{35 \, d^{35}}"," ",0,"-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)/(sqrt(d*x + c)*d^5) + 2/35*(5*(d*x + c)^(7/2)*b^4*d^30 - 28*(d*x + c)^(5/2)*b^4*c*d^30 + 70*(d*x + c)^(3/2)*b^4*c^2*d^30 - 140*sqrt(d*x + c)*b^4*c^3*d^30 + 28*(d*x + c)^(5/2)*a*b^3*d^31 - 140*(d*x + c)^(3/2)*a*b^3*c*d^31 + 420*sqrt(d*x + c)*a*b^3*c^2*d^31 + 70*(d*x + c)^(3/2)*a^2*b^2*d^32 - 420*sqrt(d*x + c)*a^2*b^2*c*d^32 + 140*sqrt(d*x + c)*a^3*b*d^33)/d^35","B",0
1426,1,152,0,1.049270," ","integrate((b*x+a)^3/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)}}{\sqrt{d x + c} d^{4}} + \frac{2 \, {\left({\left(d x + c\right)}^{\frac{5}{2}} b^{3} d^{16} - 5 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} c d^{16} + 15 \, \sqrt{d x + c} b^{3} c^{2} d^{16} + 5 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{2} d^{17} - 30 \, \sqrt{d x + c} a b^{2} c d^{17} + 15 \, \sqrt{d x + c} a^{2} b d^{18}\right)}}{5 \, d^{20}}"," ",0,"2*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)/(sqrt(d*x + c)*d^4) + 2/5*((d*x + c)^(5/2)*b^3*d^16 - 5*(d*x + c)^(3/2)*b^3*c*d^16 + 15*sqrt(d*x + c)*b^3*c^2*d^16 + 5*(d*x + c)^(3/2)*a*b^2*d^17 - 30*sqrt(d*x + c)*a*b^2*c*d^17 + 15*sqrt(d*x + c)*a^2*b*d^18)/d^20","A",0
1427,1,84,0,1.040670," ","integrate((b*x+a)^2/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)}}{\sqrt{d x + c} d^{3}} + \frac{2 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} b^{2} d^{6} - 6 \, \sqrt{d x + c} b^{2} c d^{6} + 6 \, \sqrt{d x + c} a b d^{7}\right)}}{3 \, d^{9}}"," ",0,"-2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(sqrt(d*x + c)*d^3) + 2/3*((d*x + c)^(3/2)*b^2*d^6 - 6*sqrt(d*x + c)*b^2*c*d^6 + 6*sqrt(d*x + c)*a*b*d^7)/d^9","A",0
1428,1,34,0,1.026569," ","integrate((b*x+a)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{d x + c} b}{d^{2}} + \frac{2 \, {\left(b c - a d\right)}}{\sqrt{d x + c} d^{2}}"," ",0,"2*sqrt(d*x + c)*b/d^2 + 2*(b*c - a*d)/(sqrt(d*x + c)*d^2)","A",0
1429,1,12,0,1.020213," ","integrate(1/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2}{\sqrt{d x + c} d}"," ",0,"-2/(sqrt(d*x + c)*d)","A",0
1430,1,69,0,0.935339," ","integrate(1/(b*x+a)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, b \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} {\left(b c - a d\right)}} + \frac{2}{{\left(b c - a d\right)} \sqrt{d x + c}}"," ",0,"2*b*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*(b*c - a*d)) + 2/((b*c - a*d)*sqrt(d*x + c))","A",0
1431,1,143,0,1.025298," ","integrate(1/(b*x+a)^2/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{3 \, b d \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{-b^{2} c + a b d}} - \frac{3 \, {\left(d x + c\right)} b d - 2 \, b c d + 2 \, a d^{2}}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left({\left(d x + c\right)}^{\frac{3}{2}} b - \sqrt{d x + c} b c + \sqrt{d x + c} a d\right)}}"," ",0,"-3*b*d*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(-b^2*c + a*b*d)) - (3*(d*x + c)*b*d - 2*b*c*d + 2*a*d^2)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*((d*x + c)^(3/2)*b - sqrt(d*x + c)*b*c + sqrt(d*x + c)*a*d))","A",0
1432,1,234,0,1.030321," ","integrate(1/(b*x+a)^3/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{15 \, b d^{2} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, {\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^{2} c + a b d}} + \frac{2 \, d^{2}}{{\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \sqrt{d x + c}} + \frac{7 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} d^{2} - 9 \, \sqrt{d x + c} b^{2} c d^{2} + 9 \, \sqrt{d x + c} a b d^{3}}{4 \, {\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({\left(d x + c\right)} b - b c + a d\right)}^{2}}"," ",0,"15/4*b*d^2*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sqrt(-b^2*c + a*b*d)) + 2*d^2/((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sqrt(d*x + c)) + 1/4*(7*(d*x + c)^(3/2)*b^2*d^2 - 9*sqrt(d*x + c)*b^2*c*d^2 + 9*sqrt(d*x + c)*a*b*d^3)/((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*((d*x + c)*b - b*c + a*d)^2)","B",0
1433,1,326,0,1.311515," ","integrate(1/(b*x+a)^4/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{35 \, b d^{3} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{8 \, {\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^{2} c + a b d}} - \frac{2 \, d^{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{d x + c}} - \frac{57 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{3} d^{3} - 136 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} c d^{3} + 87 \, \sqrt{d x + c} b^{3} c^{2} d^{3} + 136 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{2} d^{4} - 174 \, \sqrt{d x + c} a b^{2} c d^{4} + 87 \, \sqrt{d x + c} a^{2} b d^{5}}{24 \, {\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({\left(d x + c\right)} b - b c + a d\right)}^{3}}"," ",0,"-35/8*b*d^3*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*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)*sqrt(-b^2*c + a*b*d)) - 2*d^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(d*x + c)) - 1/24*(57*(d*x + c)^(5/2)*b^3*d^3 - 136*(d*x + c)^(3/2)*b^3*c*d^3 + 87*sqrt(d*x + c)*b^3*c^2*d^3 + 136*(d*x + c)^(3/2)*a*b^2*d^4 - 174*sqrt(d*x + c)*a*b^2*c*d^4 + 87*sqrt(d*x + c)*a^2*b*d^5)/((b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)*((d*x + c)*b - b*c + a*d)^3)","B",0
1434,1,335,0,0.913231," ","integrate((b*x+a)^5/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, {\left(d x + c\right)} b^{5} c^{4} - b^{5} c^{5} - 60 \, {\left(d x + c\right)} a b^{4} c^{3} d + 5 \, a b^{4} c^{4} d + 90 \, {\left(d x + c\right)} a^{2} b^{3} c^{2} d^{2} - 10 \, a^{2} b^{3} c^{3} d^{2} - 60 \, {\left(d x + c\right)} a^{3} b^{2} c d^{3} + 10 \, a^{3} b^{2} c^{2} d^{3} + 15 \, {\left(d x + c\right)} a^{4} b d^{4} - 5 \, a^{4} b c d^{4} + a^{5} d^{5}\right)}}{3 \, {\left(d x + c\right)}^{\frac{3}{2}} d^{6}} + \frac{2 \, {\left(3 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{5} d^{36} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{5} c d^{36} + 70 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{5} c^{2} d^{36} - 210 \, \sqrt{d x + c} b^{5} c^{3} d^{36} + 21 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{4} d^{37} - 140 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{4} c d^{37} + 630 \, \sqrt{d x + c} a b^{4} c^{2} d^{37} + 70 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b^{3} d^{38} - 630 \, \sqrt{d x + c} a^{2} b^{3} c d^{38} + 210 \, \sqrt{d x + c} a^{3} b^{2} d^{39}\right)}}{21 \, d^{42}}"," ",0,"-2/3*(15*(d*x + c)*b^5*c^4 - b^5*c^5 - 60*(d*x + c)*a*b^4*c^3*d + 5*a*b^4*c^4*d + 90*(d*x + c)*a^2*b^3*c^2*d^2 - 10*a^2*b^3*c^3*d^2 - 60*(d*x + c)*a^3*b^2*c*d^3 + 10*a^3*b^2*c^2*d^3 + 15*(d*x + c)*a^4*b*d^4 - 5*a^4*b*c*d^4 + a^5*d^5)/((d*x + c)^(3/2)*d^6) + 2/21*(3*(d*x + c)^(7/2)*b^5*d^36 - 21*(d*x + c)^(5/2)*b^5*c*d^36 + 70*(d*x + c)^(3/2)*b^5*c^2*d^36 - 210*sqrt(d*x + c)*b^5*c^3*d^36 + 21*(d*x + c)^(5/2)*a*b^4*d^37 - 140*(d*x + c)^(3/2)*a*b^4*c*d^37 + 630*sqrt(d*x + c)*a*b^4*c^2*d^37 + 70*(d*x + c)^(3/2)*a^2*b^3*d^38 - 630*sqrt(d*x + c)*a^2*b^3*c*d^38 + 210*sqrt(d*x + c)*a^3*b^2*d^39)/d^42","B",0
1435,1,229,0,1.016303," ","integrate((b*x+a)^4/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(12 \, {\left(d x + c\right)} b^{4} c^{3} - b^{4} c^{4} - 36 \, {\left(d x + c\right)} a b^{3} c^{2} d + 4 \, a b^{3} c^{3} d + 36 \, {\left(d x + c\right)} a^{2} b^{2} c d^{2} - 6 \, a^{2} b^{2} c^{2} d^{2} - 12 \, {\left(d x + c\right)} a^{3} b d^{3} + 4 \, a^{3} b c d^{3} - a^{4} d^{4}\right)}}{3 \, {\left(d x + c\right)}^{\frac{3}{2}} d^{5}} + \frac{2 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{4} d^{20} - 20 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{4} c d^{20} + 90 \, \sqrt{d x + c} b^{4} c^{2} d^{20} + 20 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{3} d^{21} - 180 \, \sqrt{d x + c} a b^{3} c d^{21} + 90 \, \sqrt{d x + c} a^{2} b^{2} d^{22}\right)}}{15 \, d^{25}}"," ",0,"2/3*(12*(d*x + c)*b^4*c^3 - b^4*c^4 - 36*(d*x + c)*a*b^3*c^2*d + 4*a*b^3*c^3*d + 36*(d*x + c)*a^2*b^2*c*d^2 - 6*a^2*b^2*c^2*d^2 - 12*(d*x + c)*a^3*b*d^3 + 4*a^3*b*c*d^3 - a^4*d^4)/((d*x + c)^(3/2)*d^5) + 2/15*(3*(d*x + c)^(5/2)*b^4*d^20 - 20*(d*x + c)^(3/2)*b^4*c*d^20 + 90*sqrt(d*x + c)*b^4*c^2*d^20 + 20*(d*x + c)^(3/2)*a*b^3*d^21 - 180*sqrt(d*x + c)*a*b^3*c*d^21 + 90*sqrt(d*x + c)*a^2*b^2*d^22)/d^25","B",0
1436,1,141,0,0.995429," ","integrate((b*x+a)^3/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(9 \, {\left(d x + c\right)} b^{3} c^{2} - b^{3} c^{3} - 18 \, {\left(d x + c\right)} a b^{2} c d + 3 \, a b^{2} c^{2} d + 9 \, {\left(d x + c\right)} a^{2} b d^{2} - 3 \, a^{2} b c d^{2} + a^{3} d^{3}\right)}}{3 \, {\left(d x + c\right)}^{\frac{3}{2}} d^{4}} + \frac{2 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} b^{3} d^{8} - 9 \, \sqrt{d x + c} b^{3} c d^{8} + 9 \, \sqrt{d x + c} a b^{2} d^{9}\right)}}{3 \, d^{12}}"," ",0,"-2/3*(9*(d*x + c)*b^3*c^2 - b^3*c^3 - 18*(d*x + c)*a*b^2*c*d + 3*a*b^2*c^2*d + 9*(d*x + c)*a^2*b*d^2 - 3*a^2*b*c*d^2 + a^3*d^3)/((d*x + c)^(3/2)*d^4) + 2/3*((d*x + c)^(3/2)*b^3*d^8 - 9*sqrt(d*x + c)*b^3*c*d^8 + 9*sqrt(d*x + c)*a*b^2*d^9)/d^12","A",0
1437,1,72,0,1.105249," ","integrate((b*x+a)^2/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{d x + c} b^{2}}{d^{3}} + \frac{2 \, {\left(6 \, {\left(d x + c\right)} b^{2} c - b^{2} c^{2} - 6 \, {\left(d x + c\right)} a b d + 2 \, a b c d - a^{2} d^{2}\right)}}{3 \, {\left(d x + c\right)}^{\frac{3}{2}} d^{3}}"," ",0,"2*sqrt(d*x + c)*b^2/d^3 + 2/3*(6*(d*x + c)*b^2*c - b^2*c^2 - 6*(d*x + c)*a*b*d + 2*a*b*c*d - a^2*d^2)/((d*x + c)^(3/2)*d^3)","A",0
1438,1,28,0,1.021284," ","integrate((b*x+a)/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, {\left(d x + c\right)} b - b c + a d\right)}}{3 \, {\left(d x + c\right)}^{\frac{3}{2}} d^{2}}"," ",0,"-2/3*(3*(d*x + c)*b - b*c + a*d)/((d*x + c)^(3/2)*d^2)","A",0
1439,1,12,0,0.958035," ","integrate(1/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2}{3 \, {\left(d x + c\right)}^{\frac{3}{2}} d}"," ",0,"-2/3/((d*x + c)^(3/2)*d)","A",0
1440,1,113,0,1.155508," ","integrate(1/(b*x+a)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, b^{2} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{-b^{2} c + a b d}} + \frac{2 \, {\left(3 \, {\left(d x + c\right)} b + b c - a d\right)}}{3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} {\left(d x + c\right)}^{\frac{3}{2}}}"," ",0,"2*b^2*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(-b^2*c + a*b*d)) + 2/3*(3*(d*x + c)*b + b*c - a*d)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(d*x + c)^(3/2))","A",0
1441,1,216,0,1.110937," ","integrate(1/(b*x+a)^2/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{5 \, b^{2} d \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\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^{2} c + a b d}} - \frac{\sqrt{d x + c} b^{2} d}{{\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({\left(d x + c\right)} b - b c + a d\right)}} - \frac{2 \, {\left(6 \, {\left(d x + c\right)} b d + b c d - a d^{2}\right)}}{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)} {\left(d x + c\right)}^{\frac{3}{2}}}"," ",0,"-5*b^2*d*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*sqrt(-b^2*c + a*b*d)) - sqrt(d*x + c)*b^2*d/((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*((d*x + c)*b - b*c + a*d)) - 2/3*(6*(d*x + c)*b*d + b*c*d - a*d^2)/((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*(d*x + c)^(3/2))","B",0
1442,1,298,0,1.198081," ","integrate(1/(b*x+a)^3/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{35 \, b^{2} d^{2} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{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)} \sqrt{-b^{2} c + a b d}} + \frac{2 \, {\left(9 \, {\left(d x + c\right)} b d^{2} + b c d^{2} - a d^{3}\right)}}{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)} {\left(d x + c\right)}^{\frac{3}{2}}} + \frac{11 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} d^{2} - 13 \, \sqrt{d x + c} b^{3} c d^{2} + 13 \, \sqrt{d x + c} a b^{2} d^{3}}{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)} {\left({\left(d x + c\right)} b - b c + a d\right)}^{2}}"," ",0,"35/4*b^2*d^2*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*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)*sqrt(-b^2*c + a*b*d)) + 2/3*(9*(d*x + c)*b*d^2 + b*c*d^2 - a*d^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)*(d*x + c)^(3/2)) + 1/4*(11*(d*x + c)^(3/2)*b^3*d^2 - 13*sqrt(d*x + c)*b^3*c*d^2 + 13*sqrt(d*x + c)*a*b^2*d^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)*((d*x + c)*b - b*c + a*d)^2)","B",0
1443,1,432,0,1.198890," ","integrate(1/(b*x+a)^4/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{105 \, b^{2} d^{3} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{8 \, {\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^{2} c + a b d}} - \frac{315 \, {\left(d x + c\right)}^{4} b^{4} d^{3} - 840 \, {\left(d x + c\right)}^{3} b^{4} c d^{3} + 693 \, {\left(d x + c\right)}^{2} b^{4} c^{2} d^{3} - 144 \, {\left(d x + c\right)} b^{4} c^{3} d^{3} - 16 \, b^{4} c^{4} d^{3} + 840 \, {\left(d x + c\right)}^{3} a b^{3} d^{4} - 1386 \, {\left(d x + c\right)}^{2} a b^{3} c d^{4} + 432 \, {\left(d x + c\right)} a b^{3} c^{2} d^{4} + 64 \, a b^{3} c^{3} d^{4} + 693 \, {\left(d x + c\right)}^{2} a^{2} b^{2} d^{5} - 432 \, {\left(d x + c\right)} a^{2} b^{2} c d^{5} - 96 \, a^{2} b^{2} c^{2} d^{5} + 144 \, {\left(d x + c\right)} a^{3} b d^{6} + 64 \, a^{3} b c d^{6} - 16 \, a^{4} d^{7}}{24 \, {\left(b^{5} c^{5} - 5 \, a b^{4} c^{4} d + 10 \, a^{2} b^{3} c^{3} d^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} + 5 \, a^{4} b c d^{4} - a^{5} d^{5}\right)} {\left({\left(d x + c\right)}^{\frac{3}{2}} b - \sqrt{d x + c} b c + \sqrt{d x + c} a d\right)}^{3}}"," ",0,"-105/8*b^2*d^3*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((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^2*c + a*b*d)) - 1/24*(315*(d*x + c)^4*b^4*d^3 - 840*(d*x + c)^3*b^4*c*d^3 + 693*(d*x + c)^2*b^4*c^2*d^3 - 144*(d*x + c)*b^4*c^3*d^3 - 16*b^4*c^4*d^3 + 840*(d*x + c)^3*a*b^3*d^4 - 1386*(d*x + c)^2*a*b^3*c*d^4 + 432*(d*x + c)*a*b^3*c^2*d^4 + 64*a*b^3*c^3*d^4 + 693*(d*x + c)^2*a^2*b^2*d^5 - 432*(d*x + c)*a^2*b^2*c*d^5 - 96*a^2*b^2*c^2*d^5 + 144*(d*x + c)*a^3*b*d^6 + 64*a^3*b*c*d^6 - 16*a^4*d^7)/((b^5*c^5 - 5*a*b^4*c^4*d + 10*a^2*b^3*c^3*d^2 - 10*a^3*b^2*c^2*d^3 + 5*a^4*b*c*d^4 - a^5*d^5)*((d*x + c)^(3/2)*b - sqrt(d*x + c)*b*c + sqrt(d*x + c)*a*d)^3)","B",0
1444,1,637,0,1.261781," ","integrate((b*x+a)^5*(b*c*x+a*c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(6435 \, \sqrt{b c x + a c} a^{7} c - 15015 \, {\left(3 \, \sqrt{b c x + a c} a c - {\left(b c x + a c\right)}^{\frac{3}{2}}\right)} a^{6} + \frac{9009 \, {\left(15 \, \sqrt{b c x + a c} a^{2} c^{2} - 10 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a c + 3 \, {\left(b c x + a c\right)}^{\frac{5}{2}}\right)} a^{5}}{c} - \frac{6435 \, {\left(35 \, \sqrt{b c x + a c} a^{3} c^{3} - 35 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{2} c^{2} + 21 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a c - 5 \, {\left(b c x + a c\right)}^{\frac{7}{2}}\right)} a^{4}}{c^{2}} + \frac{715 \, {\left(315 \, \sqrt{b c x + a c} a^{4} c^{4} - 420 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{3} c^{3} + 378 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a^{2} c^{2} - 180 \, {\left(b c x + a c\right)}^{\frac{7}{2}} a c + 35 \, {\left(b c x + a c\right)}^{\frac{9}{2}}\right)} a^{3}}{c^{3}} - \frac{195 \, {\left(693 \, \sqrt{b c x + a c} a^{5} c^{5} - 1155 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{4} c^{4} + 1386 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a^{3} c^{3} - 990 \, {\left(b c x + a c\right)}^{\frac{7}{2}} a^{2} c^{2} + 385 \, {\left(b c x + a c\right)}^{\frac{9}{2}} a c - 63 \, {\left(b c x + a c\right)}^{\frac{11}{2}}\right)} a^{2}}{c^{4}} + \frac{15 \, {\left(3003 \, \sqrt{b c x + a c} a^{6} c^{6} - 6006 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{5} c^{5} + 9009 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a^{4} c^{4} - 8580 \, {\left(b c x + a c\right)}^{\frac{7}{2}} a^{3} c^{3} + 5005 \, {\left(b c x + a c\right)}^{\frac{9}{2}} a^{2} c^{2} - 1638 \, {\left(b c x + a c\right)}^{\frac{11}{2}} a c + 231 \, {\left(b c x + a c\right)}^{\frac{13}{2}}\right)} a}{c^{5}} - \frac{6435 \, \sqrt{b c x + a c} a^{7} c^{7} - 15015 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{6} c^{6} + 27027 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a^{5} c^{5} - 32175 \, {\left(b c x + a c\right)}^{\frac{7}{2}} a^{4} c^{4} + 25025 \, {\left(b c x + a c\right)}^{\frac{9}{2}} a^{3} c^{3} - 12285 \, {\left(b c x + a c\right)}^{\frac{11}{2}} a^{2} c^{2} + 3465 \, {\left(b c x + a c\right)}^{\frac{13}{2}} a c - 429 \, {\left(b c x + a c\right)}^{\frac{15}{2}}}{c^{6}}\right)}}{6435 \, b}"," ",0,"2/6435*(6435*sqrt(b*c*x + a*c)*a^7*c - 15015*(3*sqrt(b*c*x + a*c)*a*c - (b*c*x + a*c)^(3/2))*a^6 + 9009*(15*sqrt(b*c*x + a*c)*a^2*c^2 - 10*(b*c*x + a*c)^(3/2)*a*c + 3*(b*c*x + a*c)^(5/2))*a^5/c - 6435*(35*sqrt(b*c*x + a*c)*a^3*c^3 - 35*(b*c*x + a*c)^(3/2)*a^2*c^2 + 21*(b*c*x + a*c)^(5/2)*a*c - 5*(b*c*x + a*c)^(7/2))*a^4/c^2 + 715*(315*sqrt(b*c*x + a*c)*a^4*c^4 - 420*(b*c*x + a*c)^(3/2)*a^3*c^3 + 378*(b*c*x + a*c)^(5/2)*a^2*c^2 - 180*(b*c*x + a*c)^(7/2)*a*c + 35*(b*c*x + a*c)^(9/2))*a^3/c^3 - 195*(693*sqrt(b*c*x + a*c)*a^5*c^5 - 1155*(b*c*x + a*c)^(3/2)*a^4*c^4 + 1386*(b*c*x + a*c)^(5/2)*a^3*c^3 - 990*(b*c*x + a*c)^(7/2)*a^2*c^2 + 385*(b*c*x + a*c)^(9/2)*a*c - 63*(b*c*x + a*c)^(11/2))*a^2/c^4 + 15*(3003*sqrt(b*c*x + a*c)*a^6*c^6 - 6006*(b*c*x + a*c)^(3/2)*a^5*c^5 + 9009*(b*c*x + a*c)^(5/2)*a^4*c^4 - 8580*(b*c*x + a*c)^(7/2)*a^3*c^3 + 5005*(b*c*x + a*c)^(9/2)*a^2*c^2 - 1638*(b*c*x + a*c)^(11/2)*a*c + 231*(b*c*x + a*c)^(13/2))*a/c^5 - (6435*sqrt(b*c*x + a*c)*a^7*c^7 - 15015*(b*c*x + a*c)^(3/2)*a^6*c^6 + 27027*(b*c*x + a*c)^(5/2)*a^5*c^5 - 32175*(b*c*x + a*c)^(7/2)*a^4*c^4 + 25025*(b*c*x + a*c)^(9/2)*a^3*c^3 - 12285*(b*c*x + a*c)^(11/2)*a^2*c^2 + 3465*(b*c*x + a*c)^(13/2)*a*c - 429*(b*c*x + a*c)^(15/2))/c^6)/b","B",0
1445,1,495,0,1.273835," ","integrate((b*x+a)^5*(b*c*x+a*c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3003 \, \sqrt{b c x + a c} a^{6} - \frac{6006 \, {\left(3 \, \sqrt{b c x + a c} a c - {\left(b c x + a c\right)}^{\frac{3}{2}}\right)} a^{5}}{c} + \frac{3003 \, {\left(15 \, \sqrt{b c x + a c} a^{2} c^{2} - 10 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a c + 3 \, {\left(b c x + a c\right)}^{\frac{5}{2}}\right)} a^{4}}{c^{2}} - \frac{1716 \, {\left(35 \, \sqrt{b c x + a c} a^{3} c^{3} - 35 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{2} c^{2} + 21 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a c - 5 \, {\left(b c x + a c\right)}^{\frac{7}{2}}\right)} a^{3}}{c^{3}} + \frac{143 \, {\left(315 \, \sqrt{b c x + a c} a^{4} c^{4} - 420 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{3} c^{3} + 378 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a^{2} c^{2} - 180 \, {\left(b c x + a c\right)}^{\frac{7}{2}} a c + 35 \, {\left(b c x + a c\right)}^{\frac{9}{2}}\right)} a^{2}}{c^{4}} - \frac{26 \, {\left(693 \, \sqrt{b c x + a c} a^{5} c^{5} - 1155 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{4} c^{4} + 1386 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a^{3} c^{3} - 990 \, {\left(b c x + a c\right)}^{\frac{7}{2}} a^{2} c^{2} + 385 \, {\left(b c x + a c\right)}^{\frac{9}{2}} a c - 63 \, {\left(b c x + a c\right)}^{\frac{11}{2}}\right)} a}{c^{5}} + \frac{3003 \, \sqrt{b c x + a c} a^{6} c^{6} - 6006 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{5} c^{5} + 9009 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a^{4} c^{4} - 8580 \, {\left(b c x + a c\right)}^{\frac{7}{2}} a^{3} c^{3} + 5005 \, {\left(b c x + a c\right)}^{\frac{9}{2}} a^{2} c^{2} - 1638 \, {\left(b c x + a c\right)}^{\frac{11}{2}} a c + 231 \, {\left(b c x + a c\right)}^{\frac{13}{2}}}{c^{6}}\right)}}{3003 \, b}"," ",0,"2/3003*(3003*sqrt(b*c*x + a*c)*a^6 - 6006*(3*sqrt(b*c*x + a*c)*a*c - (b*c*x + a*c)^(3/2))*a^5/c + 3003*(15*sqrt(b*c*x + a*c)*a^2*c^2 - 10*(b*c*x + a*c)^(3/2)*a*c + 3*(b*c*x + a*c)^(5/2))*a^4/c^2 - 1716*(35*sqrt(b*c*x + a*c)*a^3*c^3 - 35*(b*c*x + a*c)^(3/2)*a^2*c^2 + 21*(b*c*x + a*c)^(5/2)*a*c - 5*(b*c*x + a*c)^(7/2))*a^3/c^3 + 143*(315*sqrt(b*c*x + a*c)*a^4*c^4 - 420*(b*c*x + a*c)^(3/2)*a^3*c^3 + 378*(b*c*x + a*c)^(5/2)*a^2*c^2 - 180*(b*c*x + a*c)^(7/2)*a*c + 35*(b*c*x + a*c)^(9/2))*a^2/c^4 - 26*(693*sqrt(b*c*x + a*c)*a^5*c^5 - 1155*(b*c*x + a*c)^(3/2)*a^4*c^4 + 1386*(b*c*x + a*c)^(5/2)*a^3*c^3 - 990*(b*c*x + a*c)^(7/2)*a^2*c^2 + 385*(b*c*x + a*c)^(9/2)*a*c - 63*(b*c*x + a*c)^(11/2))*a/c^5 + (3003*sqrt(b*c*x + a*c)*a^6*c^6 - 6006*(b*c*x + a*c)^(3/2)*a^5*c^5 + 9009*(b*c*x + a*c)^(5/2)*a^4*c^4 - 8580*(b*c*x + a*c)^(7/2)*a^3*c^3 + 5005*(b*c*x + a*c)^(9/2)*a^2*c^2 - 1638*(b*c*x + a*c)^(11/2)*a*c + 231*(b*c*x + a*c)^(13/2))/c^6)/b","B",0
1446,1,374,0,0.973464," ","integrate((b*x+a)^5/(b*c*x+a*c)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(693 \, \sqrt{b c x + a c} a^{5} - \frac{1155 \, {\left(3 \, \sqrt{b c x + a c} a c - {\left(b c x + a c\right)}^{\frac{3}{2}}\right)} a^{4}}{c} + \frac{462 \, {\left(15 \, \sqrt{b c x + a c} a^{2} c^{2} - 10 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a c + 3 \, {\left(b c x + a c\right)}^{\frac{5}{2}}\right)} a^{3}}{c^{2}} - \frac{198 \, {\left(35 \, \sqrt{b c x + a c} a^{3} c^{3} - 35 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{2} c^{2} + 21 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a c - 5 \, {\left(b c x + a c\right)}^{\frac{7}{2}}\right)} a^{2}}{c^{3}} + \frac{11 \, {\left(315 \, \sqrt{b c x + a c} a^{4} c^{4} - 420 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{3} c^{3} + 378 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a^{2} c^{2} - 180 \, {\left(b c x + a c\right)}^{\frac{7}{2}} a c + 35 \, {\left(b c x + a c\right)}^{\frac{9}{2}}\right)} a}{c^{4}} - \frac{693 \, \sqrt{b c x + a c} a^{5} c^{5} - 1155 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{4} c^{4} + 1386 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a^{3} c^{3} - 990 \, {\left(b c x + a c\right)}^{\frac{7}{2}} a^{2} c^{2} + 385 \, {\left(b c x + a c\right)}^{\frac{9}{2}} a c - 63 \, {\left(b c x + a c\right)}^{\frac{11}{2}}}{c^{5}}\right)}}{693 \, b c}"," ",0,"2/693*(693*sqrt(b*c*x + a*c)*a^5 - 1155*(3*sqrt(b*c*x + a*c)*a*c - (b*c*x + a*c)^(3/2))*a^4/c + 462*(15*sqrt(b*c*x + a*c)*a^2*c^2 - 10*(b*c*x + a*c)^(3/2)*a*c + 3*(b*c*x + a*c)^(5/2))*a^3/c^2 - 198*(35*sqrt(b*c*x + a*c)*a^3*c^3 - 35*(b*c*x + a*c)^(3/2)*a^2*c^2 + 21*(b*c*x + a*c)^(5/2)*a*c - 5*(b*c*x + a*c)^(7/2))*a^2/c^3 + 11*(315*sqrt(b*c*x + a*c)*a^4*c^4 - 420*(b*c*x + a*c)^(3/2)*a^3*c^3 + 378*(b*c*x + a*c)^(5/2)*a^2*c^2 - 180*(b*c*x + a*c)^(7/2)*a*c + 35*(b*c*x + a*c)^(9/2))*a/c^4 - (693*sqrt(b*c*x + a*c)*a^5*c^5 - 1155*(b*c*x + a*c)^(3/2)*a^4*c^4 + 1386*(b*c*x + a*c)^(5/2)*a^3*c^3 - 990*(b*c*x + a*c)^(7/2)*a^2*c^2 + 385*(b*c*x + a*c)^(9/2)*a*c - 63*(b*c*x + a*c)^(11/2))/c^5)/(b*c)","B",0
1447,1,266,0,1.176291," ","integrate((b*x+a)^5/(b*c*x+a*c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(315 \, \sqrt{b c x + a c} a^{4} - \frac{420 \, {\left(3 \, \sqrt{b c x + a c} a c - {\left(b c x + a c\right)}^{\frac{3}{2}}\right)} a^{3}}{c} + \frac{126 \, {\left(15 \, \sqrt{b c x + a c} a^{2} c^{2} - 10 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a c + 3 \, {\left(b c x + a c\right)}^{\frac{5}{2}}\right)} a^{2}}{c^{2}} - \frac{36 \, {\left(35 \, \sqrt{b c x + a c} a^{3} c^{3} - 35 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{2} c^{2} + 21 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a c - 5 \, {\left(b c x + a c\right)}^{\frac{7}{2}}\right)} a}{c^{3}} + \frac{315 \, \sqrt{b c x + a c} a^{4} c^{4} - 420 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{3} c^{3} + 378 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a^{2} c^{2} - 180 \, {\left(b c x + a c\right)}^{\frac{7}{2}} a c + 35 \, {\left(b c x + a c\right)}^{\frac{9}{2}}}{c^{4}}\right)}}{315 \, b c^{2}}"," ",0,"2/315*(315*sqrt(b*c*x + a*c)*a^4 - 420*(3*sqrt(b*c*x + a*c)*a*c - (b*c*x + a*c)^(3/2))*a^3/c + 126*(15*sqrt(b*c*x + a*c)*a^2*c^2 - 10*(b*c*x + a*c)^(3/2)*a*c + 3*(b*c*x + a*c)^(5/2))*a^2/c^2 - 36*(35*sqrt(b*c*x + a*c)*a^3*c^3 - 35*(b*c*x + a*c)^(3/2)*a^2*c^2 + 21*(b*c*x + a*c)^(5/2)*a*c - 5*(b*c*x + a*c)^(7/2))*a/c^3 + (315*sqrt(b*c*x + a*c)*a^4*c^4 - 420*(b*c*x + a*c)^(3/2)*a^3*c^3 + 378*(b*c*x + a*c)^(5/2)*a^2*c^2 - 180*(b*c*x + a*c)^(7/2)*a*c + 35*(b*c*x + a*c)^(9/2))/c^4)/(b*c^2)","B",0
1448,1,178,0,0.955823," ","integrate((b*x+a)^5/(b*c*x+a*c)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(35 \, \sqrt{b c x + a c} a^{3} - \frac{35 \, {\left(3 \, \sqrt{b c x + a c} a c - {\left(b c x + a c\right)}^{\frac{3}{2}}\right)} a^{2}}{c} + \frac{7 \, {\left(15 \, \sqrt{b c x + a c} a^{2} c^{2} - 10 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a c + 3 \, {\left(b c x + a c\right)}^{\frac{5}{2}}\right)} a}{c^{2}} - \frac{35 \, \sqrt{b c x + a c} a^{3} c^{3} - 35 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a^{2} c^{2} + 21 \, {\left(b c x + a c\right)}^{\frac{5}{2}} a c - 5 \, {\left(b c x + a c\right)}^{\frac{7}{2}}}{c^{3}}\right)}}{35 \, b c^{3}}"," ",0,"2/35*(35*sqrt(b*c*x + a*c)*a^3 - 35*(3*sqrt(b*c*x + a*c)*a*c - (b*c*x + a*c)^(3/2))*a^2/c + 7*(15*sqrt(b*c*x + a*c)*a^2*c^2 - 10*(b*c*x + a*c)^(3/2)*a*c + 3*(b*c*x + a*c)^(5/2))*a/c^2 - (35*sqrt(b*c*x + a*c)*a^3*c^3 - 35*(b*c*x + a*c)^(3/2)*a^2*c^2 + 21*(b*c*x + a*c)^(5/2)*a*c - 5*(b*c*x + a*c)^(7/2))/c^3)/(b*c^3)","B",0
1449,1,106,0,0.986867," ","integrate((b*x+a)^5/(b*c*x+a*c)^(7/2),x, algorithm=""giac"")","\frac{2 \, {\left(15 \, \sqrt{b c x + a c} a^{2} - \frac{10 \, {\left(3 \, \sqrt{b c x + a c} a c - {\left(b c x + a c\right)}^{\frac{3}{2}}\right)} a}{c} + \frac{15 \, \sqrt{b c x + a c} a^{2} c^{2} - 10 \, {\left(b c x + a c\right)}^{\frac{3}{2}} a c + 3 \, {\left(b c x + a c\right)}^{\frac{5}{2}}}{c^{2}}\right)}}{15 \, b c^{4}}"," ",0,"2/15*(15*sqrt(b*c*x + a*c)*a^2 - 10*(3*sqrt(b*c*x + a*c)*a*c - (b*c*x + a*c)^(3/2))*a/c + (15*sqrt(b*c*x + a*c)*a^2*c^2 - 10*(b*c*x + a*c)^(3/2)*a*c + 3*(b*c*x + a*c)^(5/2))/c^2)/(b*c^4)","B",0
1450,1,54,0,1.070221," ","integrate((b*x+a)^5/(b*c*x+a*c)^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, \sqrt{b c x + a c} a - \frac{3 \, \sqrt{b c x + a c} a c - {\left(b c x + a c\right)}^{\frac{3}{2}}}{c}\right)}}{3 \, b c^{5}}"," ",0,"2/3*(3*sqrt(b*c*x + a*c)*a - (3*sqrt(b*c*x + a*c)*a*c - (b*c*x + a*c)^(3/2))/c)/(b*c^5)","B",0
1451,1,18,0,1.027818," ","integrate((b*x+a)^5/(b*c*x+a*c)^(11/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b c x + a c}}{b c^{6}}"," ",0,"2*sqrt(b*c*x + a*c)/(b*c^6)","A",0
1452,1,18,0,0.811132," ","integrate((b*x+a)^5/(b*c*x+a*c)^(13/2),x, algorithm=""giac"")","-\frac{2}{\sqrt{b c x + a c} b c^{6}}"," ",0,"-2/(sqrt(b*c*x + a*c)*b*c^6)","A",0
1453,1,22,0,0.869883," ","integrate(1/(-2+x)/(2+x)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(\sqrt{x + 2} + 2\right) + \frac{1}{2} \, \log\left({\left| \sqrt{x + 2} - 2 \right|}\right)"," ",0,"-1/2*log(sqrt(x + 2) + 2) + 1/2*log(abs(sqrt(x + 2) - 2))","B",0
1454,1,18,0,0.980189," ","integrate(1/(2+3*x)/(1+5*x)^(1/2),x, algorithm=""giac"")","\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
1455,1,87,0,1.045475," ","integrate((1-x)^(1/3)/(1+x),x, algorithm=""giac"")","-\sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x + 1\right)}^{\frac{1}{3}}\right)}\right) - \frac{1}{2} \cdot 2^{\frac{1}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{1}{3}} + {\left(-x + 1\right)}^{\frac{2}{3}}\right) + 2^{\frac{1}{3}} \log\left({\left| -2^{\frac{1}{3}} + {\left(-x + 1\right)}^{\frac{1}{3}} \right|}\right) + 3 \, {\left(-x + 1\right)}^{\frac{1}{3}}"," ",0,"-sqrt(3)*2^(1/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x + 1)^(1/3))) - 1/2*2^(1/3)*log(2^(2/3) + 2^(1/3)*(-x + 1)^(1/3) + (-x + 1)^(2/3)) + 2^(1/3)*log(abs(-2^(1/3) + (-x + 1)^(1/3))) + 3*(-x + 1)^(1/3)","A",0
1456,1,26,0,0.944878," ","integrate((3-2*x)^(1/3)*(7+x),x, algorithm=""giac"")","\frac{3}{28} \, {\left(2 \, x - 3\right)}^{2} {\left(-2 \, x + 3\right)}^{\frac{1}{3}} - \frac{51}{16} \, {\left(-2 \, x + 3\right)}^{\frac{4}{3}}"," ",0,"3/28*(2*x - 3)^2*(-2*x + 3)^(1/3) - 51/16*(-2*x + 3)^(4/3)","A",0
1457,1,38,0,0.860006," ","integrate((1-x)^(1/3)*(1+x)^2,x, algorithm=""giac"")","\frac{3}{10} \, {\left(x - 1\right)}^{3} {\left(-x + 1\right)}^{\frac{1}{3}} + \frac{12}{7} \, {\left(x - 1\right)}^{2} {\left(-x + 1\right)}^{\frac{1}{3}} - 3 \, {\left(-x + 1\right)}^{\frac{4}{3}}"," ",0,"3/10*(x - 1)^3*(-x + 1)^(1/3) + 12/7*(x - 1)^2*(-x + 1)^(1/3) - 3*(-x + 1)^(4/3)","A",0
1458,1,196,0,1.100139," ","integrate(1/(b*x+a)/(d*x+c)^(1/3),x, algorithm=""giac"")","\frac{3 \, {\left(b^{3} c - a b^{2} d\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(d x + c\right)}^{\frac{1}{3}} + \left(\frac{b c - a d}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b c - a d}{b}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b^{3} c - \sqrt{3} a b^{2} d} - \frac{\log\left({\left(d x + c\right)}^{\frac{2}{3}} + {\left(d x + c\right)}^{\frac{1}{3}} \left(\frac{b c - a d}{b}\right)^{\frac{1}{3}} + \left(\frac{b c - a d}{b}\right)^{\frac{2}{3}}\right)}{2 \, {\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}}} + \frac{\left(\frac{b c - a d}{b}\right)^{\frac{2}{3}} \log\left({\left| {\left(d x + c\right)}^{\frac{1}{3}} - \left(\frac{b c - a d}{b}\right)^{\frac{1}{3}} \right|}\right)}{b c - a d}"," ",0,"3*(b^3*c - a*b^2*d)^(2/3)*arctan(1/3*sqrt(3)*(2*(d*x + c)^(1/3) + ((b*c - a*d)/b)^(1/3))/((b*c - a*d)/b)^(1/3))/(sqrt(3)*b^3*c - sqrt(3)*a*b^2*d) - 1/2*log((d*x + c)^(2/3) + (d*x + c)^(1/3)*((b*c - a*d)/b)^(1/3) + ((b*c - a*d)/b)^(2/3))/(b^3*c - a*b^2*d)^(1/3) + ((b*c - a*d)/b)^(2/3)*log(abs((d*x + c)^(1/3) - ((b*c - a*d)/b)^(1/3)))/(b*c - a*d)","A",0
1459,1,207,0,0.959292," ","integrate(1/(b*x+a)/(d*x+c)^(2/3),x, algorithm=""giac"")","-\frac{3 \, {\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(d x + c\right)}^{\frac{1}{3}} + \left(\frac{b c - a d}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b c - a d}{b}\right)^{\frac{1}{3}}}\right)}{\sqrt{3} b^{2} c - \sqrt{3} a b d} - \frac{{\left(b^{3} c - a b^{2} d\right)}^{\frac{1}{3}} \log\left({\left(d x + c\right)}^{\frac{2}{3}} + {\left(d x + c\right)}^{\frac{1}{3}} \left(\frac{b c - a d}{b}\right)^{\frac{1}{3}} + \left(\frac{b c - a d}{b}\right)^{\frac{2}{3}}\right)}{2 \, {\left(b^{2} c - a b d\right)}} + \frac{\left(\frac{b c - a d}{b}\right)^{\frac{1}{3}} \log\left({\left| {\left(d x + c\right)}^{\frac{1}{3}} - \left(\frac{b c - a d}{b}\right)^{\frac{1}{3}} \right|}\right)}{b c - a d}"," ",0,"-3*(b^3*c - a*b^2*d)^(1/3)*arctan(1/3*sqrt(3)*(2*(d*x + c)^(1/3) + ((b*c - a*d)/b)^(1/3))/((b*c - a*d)/b)^(1/3))/(sqrt(3)*b^2*c - sqrt(3)*a*b*d) - 1/2*(b^3*c - a*b^2*d)^(1/3)*log((d*x + c)^(2/3) + (d*x + c)^(1/3)*((b*c - a*d)/b)^(1/3) + ((b*c - a*d)/b)^(2/3))/(b^2*c - a*b*d) + ((b*c - a*d)/b)^(1/3)*log(abs((d*x + c)^(1/3) - ((b*c - a*d)/b)^(1/3)))/(b*c - a*d)","A",0
1460,1,1107,0,1.837942," ","integrate((b*x+a)^(7/2)*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{480 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} a^{2} {\left| b \right|} - \frac{1920 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} a^{4} {\left| b \right|}}{b^{2}} + 40 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3}} + \frac{b^{12} c d^{5} - 25 \, a b^{11} d^{6}}{b^{14} d^{6}}\right)} - \frac{5 \, b^{13} c^{2} d^{4} + 14 \, a b^{12} c d^{5} - 163 \, a^{2} b^{11} d^{6}}{b^{14} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{14} c^{3} d^{3} + 9 \, a b^{13} c^{2} d^{4} + 15 \, a^{2} b^{12} c d^{5} - 93 \, a^{3} b^{11} d^{6}\right)}}{b^{14} d^{6}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} c^{4} + 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 20 \, a^{3} b c d^{3} - 35 \, a^{4} d^{4}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{2} d^{3}}\right)} a b {\left| b \right|} + {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(6 \, {\left(b x + a\right)} {\left(\frac{8 \, {\left(b x + a\right)}}{b^{4}} + \frac{b^{20} c d^{7} - 41 \, a b^{19} d^{8}}{b^{23} d^{8}}\right)} - \frac{7 \, b^{21} c^{2} d^{6} + 26 \, a b^{20} c d^{7} - 513 \, a^{2} b^{19} d^{8}}{b^{23} d^{8}}\right)} + \frac{5 \, {\left(7 \, b^{22} c^{3} d^{5} + 19 \, a b^{21} c^{2} d^{6} + 37 \, a^{2} b^{20} c d^{7} - 447 \, a^{3} b^{19} d^{8}\right)}}{b^{23} d^{8}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} c^{4} d^{4} + 12 \, a b^{22} c^{3} d^{5} + 18 \, a^{2} b^{21} c^{2} d^{6} + 28 \, a^{3} b^{20} c d^{7} - 193 \, a^{4} b^{19} d^{8}\right)}}{b^{23} d^{8}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} c^{5} + 5 \, a b^{4} c^{4} d + 6 \, a^{2} b^{3} c^{3} d^{2} + 10 \, a^{3} b^{2} c^{2} d^{3} + 35 \, a^{4} b c d^{4} - 63 \, a^{5} d^{5}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{3} d^{4}}\right)} b^{2} {\left| b \right|} + \frac{1920 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a^{3} {\left| b \right|}}{b^{2}}}{1920 \, b}"," ",0,"1/1920*(480*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*a^2*abs(b) - 1920*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*a^4*abs(b)/b^2 + 40*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*c*d^5 - 25*a*b^11*d^6)/(b^14*d^6)) - (5*b^13*c^2*d^4 + 14*a*b^12*c*d^5 - 163*a^2*b^11*d^6)/(b^14*d^6)) + 3*(5*b^14*c^3*d^3 + 9*a*b^13*c^2*d^4 + 15*a^2*b^12*c*d^5 - 93*a^3*b^11*d^6)/(b^14*d^6))*sqrt(b*x + a) + 3*(5*b^4*c^4 + 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 35*a^4*d^4)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^2*d^3))*a*b*abs(b) + (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*c*d^7 - 41*a*b^19*d^8)/(b^23*d^8)) - (7*b^21*c^2*d^6 + 26*a*b^20*c*d^7 - 513*a^2*b^19*d^8)/(b^23*d^8)) + 5*(7*b^22*c^3*d^5 + 19*a*b^21*c^2*d^6 + 37*a^2*b^20*c*d^7 - 447*a^3*b^19*d^8)/(b^23*d^8))*(b*x + a) - 15*(7*b^23*c^4*d^4 + 12*a*b^22*c^3*d^5 + 18*a^2*b^21*c^2*d^6 + 28*a^3*b^20*c*d^7 - 193*a^4*b^19*d^8)/(b^23*d^8))*sqrt(b*x + a) - 15*(7*b^5*c^5 + 5*a*b^4*c^4*d + 6*a^2*b^3*c^3*d^2 + 10*a^3*b^2*c^2*d^3 + 35*a^4*b*c*d^4 - 63*a^5*d^5)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^3*d^4))*b^2*abs(b) + 1920*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a^3*abs(b)/b^2)/b","B",0
1461,1,726,0,1.639242," ","integrate((b*x+a)^(5/2)*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{24 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} a {\left| b \right|} - \frac{192 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} a^{3} {\left| b \right|}}{b^{2}} + {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3}} + \frac{b^{12} c d^{5} - 25 \, a b^{11} d^{6}}{b^{14} d^{6}}\right)} - \frac{5 \, b^{13} c^{2} d^{4} + 14 \, a b^{12} c d^{5} - 163 \, a^{2} b^{11} d^{6}}{b^{14} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{14} c^{3} d^{3} + 9 \, a b^{13} c^{2} d^{4} + 15 \, a^{2} b^{12} c d^{5} - 93 \, a^{3} b^{11} d^{6}\right)}}{b^{14} d^{6}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} c^{4} + 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 20 \, a^{3} b c d^{3} - 35 \, a^{4} d^{4}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{2} d^{3}}\right)} b {\left| b \right|} + \frac{144 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a^{2} {\left| b \right|}}{b^{2}}}{192 \, b}"," ",0,"1/192*(24*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*a*abs(b) - 192*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*a^3*abs(b)/b^2 + (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*c*d^5 - 25*a*b^11*d^6)/(b^14*d^6)) - (5*b^13*c^2*d^4 + 14*a*b^12*c*d^5 - 163*a^2*b^11*d^6)/(b^14*d^6)) + 3*(5*b^14*c^3*d^3 + 9*a*b^13*c^2*d^4 + 15*a^2*b^12*c*d^5 - 93*a^3*b^11*d^6)/(b^14*d^6))*sqrt(b*x + a) + 3*(5*b^4*c^4 + 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 35*a^4*d^4)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^2*d^3))*b*abs(b) + 144*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a^2*abs(b)/b^2)/b","B",0
1462,1,438,0,1.376678," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} {\left| b \right|} - \frac{24 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} a^{2} {\left| b \right|}}{b^{2}} + \frac{12 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a {\left| b \right|}}{b^{2}}}{24 \, b}"," ",0,"1/24*((sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*abs(b) - 24*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*a^2*abs(b)/b^2 + 12*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a*abs(b)/b^2)/b","B",0
1463,1,232,0,1.254303," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} a {\left| b \right|}}{b^{2}} - \frac{{\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} {\left| b \right|}}{b^{2}}}{4 \, b}"," ",0,"-1/4*(4*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*a*abs(b)/b^2 - (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*abs(b)/b^2)/b","B",0
1464,1,93,0,1.095042," ","integrate((d*x+c)^(1/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{{\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} {\left| b \right|}}{b^{3}}"," ",0,"-((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*abs(b)/b^3","A",0
1465,1,131,0,1.191750," ","integrate((d*x+c)^(1/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{{\left(\frac{\sqrt{b d} \log\left({\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}{b} + \frac{4 \, {\left(\sqrt{b d} b c - \sqrt{b d} a d\right)}}{b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}}\right)} {\left| b \right|}}{b^{2}}"," ",0,"-(sqrt(b*d)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/b + 4*(sqrt(b*d)*b*c - sqrt(b*d)*a*d)/(b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2))*abs(b)/b^2","B",0
1466,1,152,0,1.432660," ","integrate((d*x+c)^(1/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{4 \, {\left(\sqrt{b d} b^{4} c^{2} d - 2 \, \sqrt{b d} a b^{3} c d^{2} + \sqrt{b d} a^{2} b^{2} d^{3} + 3 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} d\right)} {\left| b \right|}}{3 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{3} b^{2}}"," ",0,"-4/3*(sqrt(b*d)*b^4*c^2*d - 2*sqrt(b*d)*a*b^3*c*d^2 + sqrt(b*d)*a^2*b^2*d^3 + 3*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*d)*abs(b)/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^3*b^2)","B",0
1467,1,447,0,1.444061," ","integrate((d*x+c)^(1/2)/(b*x+a)^(7/2),x, algorithm=""giac"")","\frac{8 \, {\left(\sqrt{b d} b^{7} c^{3} d^{2} - 3 \, \sqrt{b d} a b^{6} c^{2} d^{3} + 3 \, \sqrt{b d} a^{2} b^{5} c d^{4} - \sqrt{b d} a^{3} b^{4} d^{5} - 5 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{5} c^{2} d^{2} + 10 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{4} c d^{3} - 5 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{3} d^{4} - 5 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{3} c d^{2} + 5 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{2} d^{3} - 15 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b d^{2}\right)} {\left| b \right|}}{15 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{5} b^{2}}"," ",0,"8/15*(sqrt(b*d)*b^7*c^3*d^2 - 3*sqrt(b*d)*a*b^6*c^2*d^3 + 3*sqrt(b*d)*a^2*b^5*c*d^4 - sqrt(b*d)*a^3*b^4*d^5 - 5*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^5*c^2*d^2 + 10*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^4*c*d^3 - 5*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^3*d^4 - 5*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^3*c*d^2 + 5*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^2*d^3 - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b*d^2)*abs(b)/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^5*b^2)","B",0
1468,1,689,0,1.581942," ","integrate((d*x+c)^(1/2)/(b*x+a)^(9/2),x, algorithm=""giac"")","-\frac{32 \, {\left(\sqrt{b d} b^{10} c^{4} d^{3} - 4 \, \sqrt{b d} a b^{9} c^{3} d^{4} + 6 \, \sqrt{b d} a^{2} b^{8} c^{2} d^{5} - 4 \, \sqrt{b d} a^{3} b^{7} c d^{6} + \sqrt{b d} a^{4} b^{6} d^{7} - 7 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{8} c^{3} d^{3} + 21 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{7} c^{2} d^{4} - 21 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{6} c d^{5} + 7 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{5} d^{6} + 21 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{6} c^{2} d^{3} - 42 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{5} c d^{4} + 21 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{4} d^{5} + 35 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{4} c d^{3} - 35 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{3} d^{4} + 70 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{2} d^{3}\right)} {\left| b \right|}}{105 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{7} b^{2}}"," ",0,"-32/105*(sqrt(b*d)*b^10*c^4*d^3 - 4*sqrt(b*d)*a*b^9*c^3*d^4 + 6*sqrt(b*d)*a^2*b^8*c^2*d^5 - 4*sqrt(b*d)*a^3*b^7*c*d^6 + sqrt(b*d)*a^4*b^6*d^7 - 7*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^8*c^3*d^3 + 21*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^7*c^2*d^4 - 21*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^6*c*d^5 + 7*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^5*d^6 + 21*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^6*c^2*d^3 - 42*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^5*c*d^4 + 21*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^4*d^5 + 35*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^4*c*d^3 - 35*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^3*d^4 + 70*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^2*d^3)*abs(b)/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^7*b^2)","B",0
1469,1,989,0,2.041408," ","integrate((d*x+c)^(1/2)/(b*x+a)^(11/2),x, algorithm=""giac"")","\frac{64 \, {\left(\sqrt{b d} b^{13} c^{5} d^{4} - 5 \, \sqrt{b d} a b^{12} c^{4} d^{5} + 10 \, \sqrt{b d} a^{2} b^{11} c^{3} d^{6} - 10 \, \sqrt{b d} a^{3} b^{10} c^{2} d^{7} + 5 \, \sqrt{b d} a^{4} b^{9} c d^{8} - \sqrt{b d} a^{5} b^{8} d^{9} - 9 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{11} c^{4} d^{4} + 36 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{10} c^{3} d^{5} - 54 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{9} c^{2} d^{6} + 36 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{8} c d^{7} - 9 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{4} b^{7} d^{8} + 36 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{9} c^{3} d^{4} - 108 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{8} c^{2} d^{5} + 108 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{7} c d^{6} - 36 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{6} d^{7} - 84 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{7} c^{2} d^{4} + 168 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{6} c d^{5} - 84 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{2} b^{5} d^{6} - 189 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{5} c d^{4} + 189 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a b^{4} d^{5} - 315 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} b^{3} d^{4}\right)} {\left| b \right|}}{315 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{9} b^{2}}"," ",0,"64/315*(sqrt(b*d)*b^13*c^5*d^4 - 5*sqrt(b*d)*a*b^12*c^4*d^5 + 10*sqrt(b*d)*a^2*b^11*c^3*d^6 - 10*sqrt(b*d)*a^3*b^10*c^2*d^7 + 5*sqrt(b*d)*a^4*b^9*c*d^8 - sqrt(b*d)*a^5*b^8*d^9 - 9*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^11*c^4*d^4 + 36*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^10*c^3*d^5 - 54*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^9*c^2*d^6 + 36*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^8*c*d^7 - 9*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^7*d^8 + 36*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^9*c^3*d^4 - 108*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^8*c^2*d^5 + 108*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^7*c*d^6 - 36*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^6*d^7 - 84*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^7*c^2*d^4 + 168*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^6*c*d^5 - 84*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b^5*d^6 - 189*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^5*c*d^4 + 189*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b^4*d^5 - 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^3*d^4)*abs(b)/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^9*b^2)","B",0
1470,1,1345,0,2.382921," ","integrate((d*x+c)^(1/2)/(b*x+a)^(13/2),x, algorithm=""giac"")","-\frac{512 \, {\left(\sqrt{b d} b^{16} c^{6} d^{5} - 6 \, \sqrt{b d} a b^{15} c^{5} d^{6} + 15 \, \sqrt{b d} a^{2} b^{14} c^{4} d^{7} - 20 \, \sqrt{b d} a^{3} b^{13} c^{3} d^{8} + 15 \, \sqrt{b d} a^{4} b^{12} c^{2} d^{9} - 6 \, \sqrt{b d} a^{5} b^{11} c d^{10} + \sqrt{b d} a^{6} b^{10} d^{11} - 11 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{14} c^{5} d^{5} + 55 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{13} c^{4} d^{6} - 110 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{12} c^{3} d^{7} + 110 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{11} c^{2} d^{8} - 55 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{4} b^{10} c d^{9} + 11 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{5} b^{9} d^{10} + 55 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{12} c^{4} d^{5} - 220 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{11} c^{3} d^{6} + 330 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{10} c^{2} d^{7} - 220 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{9} c d^{8} + 55 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{4} b^{8} d^{9} - 165 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{10} c^{3} d^{5} + 495 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{9} c^{2} d^{6} - 495 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{2} b^{8} c d^{7} + 165 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{3} b^{7} d^{8} + 330 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{8} c^{2} d^{5} - 660 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a b^{7} c d^{6} + 330 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{2} b^{6} d^{7} + 924 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} b^{6} c d^{5} - 924 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a b^{5} d^{6} + 1386 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} b^{4} d^{5}\right)} {\left| b \right|}}{3465 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{11} b^{2}}"," ",0,"-512/3465*(sqrt(b*d)*b^16*c^6*d^5 - 6*sqrt(b*d)*a*b^15*c^5*d^6 + 15*sqrt(b*d)*a^2*b^14*c^4*d^7 - 20*sqrt(b*d)*a^3*b^13*c^3*d^8 + 15*sqrt(b*d)*a^4*b^12*c^2*d^9 - 6*sqrt(b*d)*a^5*b^11*c*d^10 + sqrt(b*d)*a^6*b^10*d^11 - 11*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^14*c^5*d^5 + 55*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^13*c^4*d^6 - 110*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^12*c^3*d^7 + 110*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^11*c^2*d^8 - 55*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^10*c*d^9 + 11*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^5*b^9*d^10 + 55*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^12*c^4*d^5 - 220*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^11*c^3*d^6 + 330*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^10*c^2*d^7 - 220*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^9*c*d^8 + 55*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^4*b^8*d^9 - 165*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^10*c^3*d^5 + 495*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^9*c^2*d^6 - 495*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b^8*c*d^7 + 165*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^3*b^7*d^8 + 330*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^8*c^2*d^5 - 660*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b^7*c*d^6 + 330*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^2*b^6*d^7 + 924*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^6*c*d^5 - 924*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a*b^5*d^6 + 1386*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^4*d^5)*abs(b)/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^11*b^2)","B",0
1471,1,1740,0,2.296598," ","integrate((b*x+a)^(5/2)*(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{240 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} a c {\left| b \right|} - \frac{1920 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} a^{3} c {\left| b \right|}}{b^{2}} + 10 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3}} + \frac{b^{12} c d^{5} - 25 \, a b^{11} d^{6}}{b^{14} d^{6}}\right)} - \frac{5 \, b^{13} c^{2} d^{4} + 14 \, a b^{12} c d^{5} - 163 \, a^{2} b^{11} d^{6}}{b^{14} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{14} c^{3} d^{3} + 9 \, a b^{13} c^{2} d^{4} + 15 \, a^{2} b^{12} c d^{5} - 93 \, a^{3} b^{11} d^{6}\right)}}{b^{14} d^{6}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} c^{4} + 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 20 \, a^{3} b c d^{3} - 35 \, a^{4} d^{4}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{2} d^{3}}\right)} b c {\left| b \right|} + 30 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3}} + \frac{b^{12} c d^{5} - 25 \, a b^{11} d^{6}}{b^{14} d^{6}}\right)} - \frac{5 \, b^{13} c^{2} d^{4} + 14 \, a b^{12} c d^{5} - 163 \, a^{2} b^{11} d^{6}}{b^{14} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{14} c^{3} d^{3} + 9 \, a b^{13} c^{2} d^{4} + 15 \, a^{2} b^{12} c d^{5} - 93 \, a^{3} b^{11} d^{6}\right)}}{b^{14} d^{6}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} c^{4} + 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 20 \, a^{3} b c d^{3} - 35 \, a^{4} d^{4}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{2} d^{3}}\right)} a d {\left| b \right|} + \frac{240 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} a^{2} d {\left| b \right|}}{b} + {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(6 \, {\left(b x + a\right)} {\left(\frac{8 \, {\left(b x + a\right)}}{b^{4}} + \frac{b^{20} c d^{7} - 41 \, a b^{19} d^{8}}{b^{23} d^{8}}\right)} - \frac{7 \, b^{21} c^{2} d^{6} + 26 \, a b^{20} c d^{7} - 513 \, a^{2} b^{19} d^{8}}{b^{23} d^{8}}\right)} + \frac{5 \, {\left(7 \, b^{22} c^{3} d^{5} + 19 \, a b^{21} c^{2} d^{6} + 37 \, a^{2} b^{20} c d^{7} - 447 \, a^{3} b^{19} d^{8}\right)}}{b^{23} d^{8}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} c^{4} d^{4} + 12 \, a b^{22} c^{3} d^{5} + 18 \, a^{2} b^{21} c^{2} d^{6} + 28 \, a^{3} b^{20} c d^{7} - 193 \, a^{4} b^{19} d^{8}\right)}}{b^{23} d^{8}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} c^{5} + 5 \, a b^{4} c^{4} d + 6 \, a^{2} b^{3} c^{3} d^{2} + 10 \, a^{3} b^{2} c^{2} d^{3} + 35 \, a^{4} b c d^{4} - 63 \, a^{5} d^{5}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{3} d^{4}}\right)} b d {\left| b \right|} + \frac{1440 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a^{2} c {\left| b \right|}}{b^{2}} + \frac{480 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a^{3} d {\left| b \right|}}{b^{3}}}{1920 \, b}"," ",0,"1/1920*(240*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*a*c*abs(b) - 1920*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*a^3*c*abs(b)/b^2 + 10*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*c*d^5 - 25*a*b^11*d^6)/(b^14*d^6)) - (5*b^13*c^2*d^4 + 14*a*b^12*c*d^5 - 163*a^2*b^11*d^6)/(b^14*d^6)) + 3*(5*b^14*c^3*d^3 + 9*a*b^13*c^2*d^4 + 15*a^2*b^12*c*d^5 - 93*a^3*b^11*d^6)/(b^14*d^6))*sqrt(b*x + a) + 3*(5*b^4*c^4 + 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 35*a^4*d^4)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^2*d^3))*b*c*abs(b) + 30*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*c*d^5 - 25*a*b^11*d^6)/(b^14*d^6)) - (5*b^13*c^2*d^4 + 14*a*b^12*c*d^5 - 163*a^2*b^11*d^6)/(b^14*d^6)) + 3*(5*b^14*c^3*d^3 + 9*a*b^13*c^2*d^4 + 15*a^2*b^12*c*d^5 - 93*a^3*b^11*d^6)/(b^14*d^6))*sqrt(b*x + a) + 3*(5*b^4*c^4 + 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 35*a^4*d^4)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^2*d^3))*a*d*abs(b) + 240*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*a^2*d*abs(b)/b + (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*c*d^7 - 41*a*b^19*d^8)/(b^23*d^8)) - (7*b^21*c^2*d^6 + 26*a*b^20*c*d^7 - 513*a^2*b^19*d^8)/(b^23*d^8)) + 5*(7*b^22*c^3*d^5 + 19*a*b^21*c^2*d^6 + 37*a^2*b^20*c*d^7 - 447*a^3*b^19*d^8)/(b^23*d^8))*(b*x + a) - 15*(7*b^23*c^4*d^4 + 12*a*b^22*c^3*d^5 + 18*a^2*b^21*c^2*d^6 + 28*a^3*b^20*c*d^7 - 193*a^4*b^19*d^8)/(b^23*d^8))*sqrt(b*x + a) - 15*(7*b^5*c^5 + 5*a*b^4*c^4*d + 6*a^2*b^3*c^3*d^2 + 10*a^3*b^2*c^2*d^3 + 35*a^4*b*c*d^4 - 63*a^5*d^5)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^3*d^4))*b*d*abs(b) + 1440*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a^2*c*abs(b)/b^2 + 480*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a^3*d*abs(b)/b^3)/b","B",0
1472,1,1071,0,1.891980," ","integrate((b*x+a)^(3/2)*(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{8 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} c {\left| b \right|} - \frac{192 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} a^{2} c {\left| b \right|}}{b^{2}} + {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3}} + \frac{b^{12} c d^{5} - 25 \, a b^{11} d^{6}}{b^{14} d^{6}}\right)} - \frac{5 \, b^{13} c^{2} d^{4} + 14 \, a b^{12} c d^{5} - 163 \, a^{2} b^{11} d^{6}}{b^{14} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{14} c^{3} d^{3} + 9 \, a b^{13} c^{2} d^{4} + 15 \, a^{2} b^{12} c d^{5} - 93 \, a^{3} b^{11} d^{6}\right)}}{b^{14} d^{6}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} c^{4} + 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 20 \, a^{3} b c d^{3} - 35 \, a^{4} d^{4}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{2} d^{3}}\right)} d {\left| b \right|} + \frac{16 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} a d {\left| b \right|}}{b} + \frac{96 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a c {\left| b \right|}}{b^{2}} + \frac{48 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a^{2} d {\left| b \right|}}{b^{3}}}{192 \, b}"," ",0,"1/192*(8*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*c*abs(b) - 192*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*a^2*c*abs(b)/b^2 + (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*c*d^5 - 25*a*b^11*d^6)/(b^14*d^6)) - (5*b^13*c^2*d^4 + 14*a*b^12*c*d^5 - 163*a^2*b^11*d^6)/(b^14*d^6)) + 3*(5*b^14*c^3*d^3 + 9*a*b^13*c^2*d^4 + 15*a^2*b^12*c*d^5 - 93*a^3*b^11*d^6)/(b^14*d^6))*sqrt(b*x + a) + 3*(5*b^4*c^4 + 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 35*a^4*d^4)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^2*d^3))*d*abs(b) + 16*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*a*d*abs(b)/b + 96*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a*c*abs(b)/b^2 + 48*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a^2*d*abs(b)/b^3)/b","B",0
1473,1,576,0,1.605975," ","integrate((b*x+a)^(1/2)*(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{\frac{24 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} a c {\left| b \right|}}{b^{2}} - \frac{{\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} d {\left| b \right|}}{b} - \frac{6 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} c {\left| b \right|}}{b^{2}} - \frac{6 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a d {\left| b \right|}}{b^{3}}}{24 \, b}"," ",0,"-1/24*(24*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*a*c*abs(b)/b^2 - (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*d*abs(b)/b - 6*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*c*abs(b)/b^2 - 6*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a*d*abs(b)/b^3)/b","B",0
1474,1,233,0,1.246010," ","integrate((d*x+c)^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} c {\left| b \right|}}{b^{2}} - \frac{{\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} d {\left| b \right|}}{b^{3}}}{4 \, b}"," ",0,"-1/4*(4*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*c*abs(b)/b^2 - (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*d*abs(b)/b^3)/b","B",0
1475,1,204,0,1.499232," ","integrate((d*x+c)^(3/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} d {\left| b \right|}}{b^{4}} - \frac{3 \, {\left(\sqrt{b d} b c {\left| b \right|} - \sqrt{b d} a d {\left| b \right|}\right)} \log\left({\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}{2 \, b^{4}} - \frac{4 \, {\left(\sqrt{b d} b^{2} c^{2} {\left| b \right|} - 2 \, \sqrt{b d} a b c d {\left| b \right|} + \sqrt{b d} a^{2} d^{2} {\left| b \right|}\right)}}{{\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)} b^{3}}"," ",0,"sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*d*abs(b)/b^4 - 3/2*(sqrt(b*d)*b*c*abs(b) - sqrt(b*d)*a*d*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/b^4 - 4*(sqrt(b*d)*b^2*c^2*abs(b) - 2*sqrt(b*d)*a*b*c*d*abs(b) + sqrt(b*d)*a^2*d^2*abs(b))/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)*b^3)","B",0
1476,1,455,0,1.743897," ","integrate((d*x+c)^(3/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{b d} d {\left| b \right|} \log\left({\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}{b^{4}} - \frac{8 \, {\left(2 \, \sqrt{b d} b^{5} c^{3} d {\left| b \right|} - 6 \, \sqrt{b d} a b^{4} c^{2} d^{2} {\left| b \right|} + 6 \, \sqrt{b d} a^{2} b^{3} c d^{3} {\left| b \right|} - 2 \, \sqrt{b d} a^{3} b^{2} d^{4} {\left| b \right|} - 3 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{3} c^{2} d {\left| b \right|} + 6 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{2} c d^{2} {\left| b \right|} - 3 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b d^{3} {\left| b \right|} + 3 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b c d {\left| b \right|} - 3 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a d^{2} {\left| b \right|}\right)}}{3 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{3} b^{3}}"," ",0,"-sqrt(b*d)*d*abs(b)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/b^4 - 8/3*(2*sqrt(b*d)*b^5*c^3*d*abs(b) - 6*sqrt(b*d)*a*b^4*c^2*d^2*abs(b) + 6*sqrt(b*d)*a^2*b^3*c*d^3*abs(b) - 2*sqrt(b*d)*a^3*b^2*d^4*abs(b) - 3*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^3*c^2*d*abs(b) + 6*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^2*c*d^2*abs(b) - 3*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b*d^3*abs(b) + 3*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b*c*d*abs(b) - 3*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*d^2*abs(b))/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^3*b^3)","B",0
1477,1,374,0,1.694772," ","integrate((d*x+c)^(3/2)/(b*x+a)^(7/2),x, algorithm=""giac"")","-\frac{4 \, {\left(\sqrt{b d} b^{8} c^{4} d^{2} {\left| b \right|} - 4 \, \sqrt{b d} a b^{7} c^{3} d^{3} {\left| b \right|} + 6 \, \sqrt{b d} a^{2} b^{6} c^{2} d^{4} {\left| b \right|} - 4 \, \sqrt{b d} a^{3} b^{5} c d^{5} {\left| b \right|} + \sqrt{b d} a^{4} b^{4} d^{6} {\left| b \right|} + 10 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{4} c^{2} d^{2} {\left| b \right|} - 20 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{3} c d^{3} {\left| b \right|} + 10 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{2} d^{4} {\left| b \right|} + 5 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} d^{2} {\left| b \right|}\right)}}{5 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{5} b^{3}}"," ",0,"-4/5*(sqrt(b*d)*b^8*c^4*d^2*abs(b) - 4*sqrt(b*d)*a*b^7*c^3*d^3*abs(b) + 6*sqrt(b*d)*a^2*b^6*c^2*d^4*abs(b) - 4*sqrt(b*d)*a^3*b^5*c*d^5*abs(b) + sqrt(b*d)*a^4*b^4*d^6*abs(b) + 10*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^4*c^2*d^2*abs(b) - 20*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^3*c*d^3*abs(b) + 10*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^2*d^4*abs(b) + 5*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*d^2*abs(b))/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^5*b^3)","B",0
1478,1,1024,0,2.121538," ","integrate((d*x+c)^(3/2)/(b*x+a)^(9/2),x, algorithm=""giac"")","\frac{8 \, {\left(\sqrt{b d} b^{10} c^{5} d^{3} {\left| b \right|} - 5 \, \sqrt{b d} a b^{9} c^{4} d^{4} {\left| b \right|} + 10 \, \sqrt{b d} a^{2} b^{8} c^{3} d^{5} {\left| b \right|} - 10 \, \sqrt{b d} a^{3} b^{7} c^{2} d^{6} {\left| b \right|} + 5 \, \sqrt{b d} a^{4} b^{6} c d^{7} {\left| b \right|} - \sqrt{b d} a^{5} b^{5} d^{8} {\left| b \right|} - 7 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{8} c^{4} d^{3} {\left| b \right|} + 28 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{7} c^{3} d^{4} {\left| b \right|} - 42 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{6} c^{2} d^{5} {\left| b \right|} + 28 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{5} c d^{6} {\left| b \right|} - 7 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{4} b^{4} d^{7} {\left| b \right|} - 14 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{6} c^{3} d^{3} {\left| b \right|} + 42 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{5} c^{2} d^{4} {\left| b \right|} - 42 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{4} c d^{5} {\left| b \right|} + 14 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{3} d^{6} {\left| b \right|} - 70 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{4} c^{2} d^{3} {\left| b \right|} + 140 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{3} c d^{4} {\left| b \right|} - 70 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{2} b^{2} d^{5} {\left| b \right|} - 35 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{2} c d^{3} {\left| b \right|} + 35 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a b d^{4} {\left| b \right|} - 35 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} d^{3} {\left| b \right|}\right)}}{35 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{7} b^{2}}"," ",0,"8/35*(sqrt(b*d)*b^10*c^5*d^3*abs(b) - 5*sqrt(b*d)*a*b^9*c^4*d^4*abs(b) + 10*sqrt(b*d)*a^2*b^8*c^3*d^5*abs(b) - 10*sqrt(b*d)*a^3*b^7*c^2*d^6*abs(b) + 5*sqrt(b*d)*a^4*b^6*c*d^7*abs(b) - sqrt(b*d)*a^5*b^5*d^8*abs(b) - 7*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^8*c^4*d^3*abs(b) + 28*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^7*c^3*d^4*abs(b) - 42*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^6*c^2*d^5*abs(b) + 28*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^5*c*d^6*abs(b) - 7*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^4*d^7*abs(b) - 14*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^6*c^3*d^3*abs(b) + 42*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^5*c^2*d^4*abs(b) - 42*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^4*c*d^5*abs(b) + 14*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^3*d^6*abs(b) - 70*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^4*c^2*d^3*abs(b) + 140*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^3*c*d^4*abs(b) - 70*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b^2*d^5*abs(b) - 35*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^2*c*d^3*abs(b) + 35*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b*d^4*abs(b) - 35*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*d^3*abs(b))/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^7*b^2)","B",0
1479,1,1394,0,2.937293," ","integrate((d*x+c)^(3/2)/(b*x+a)^(11/2),x, algorithm=""giac"")","-\frac{32 \, {\left(\sqrt{b d} b^{12} c^{6} d^{4} {\left| b \right|} - 6 \, \sqrt{b d} a b^{11} c^{5} d^{5} {\left| b \right|} + 15 \, \sqrt{b d} a^{2} b^{10} c^{4} d^{6} {\left| b \right|} - 20 \, \sqrt{b d} a^{3} b^{9} c^{3} d^{7} {\left| b \right|} + 15 \, \sqrt{b d} a^{4} b^{8} c^{2} d^{8} {\left| b \right|} - 6 \, \sqrt{b d} a^{5} b^{7} c d^{9} {\left| b \right|} + \sqrt{b d} a^{6} b^{6} d^{10} {\left| b \right|} - 9 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{10} c^{5} d^{4} {\left| b \right|} + 45 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{9} c^{4} d^{5} {\left| b \right|} - 90 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{8} c^{3} d^{6} {\left| b \right|} + 90 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{7} c^{2} d^{7} {\left| b \right|} - 45 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{4} b^{6} c d^{8} {\left| b \right|} + 9 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{5} b^{5} d^{9} {\left| b \right|} + 36 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{8} c^{4} d^{4} {\left| b \right|} - 144 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{7} c^{3} d^{5} {\left| b \right|} + 216 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{6} c^{2} d^{6} {\left| b \right|} - 144 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{5} c d^{7} {\left| b \right|} + 36 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{4} b^{4} d^{8} {\left| b \right|} + 126 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{6} c^{3} d^{4} {\left| b \right|} - 378 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{5} c^{2} d^{5} {\left| b \right|} + 378 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{2} b^{4} c d^{6} {\left| b \right|} - 126 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{3} b^{3} d^{7} {\left| b \right|} + 441 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{4} c^{2} d^{4} {\left| b \right|} - 882 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a b^{3} c d^{5} {\left| b \right|} + 441 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{2} b^{2} d^{6} {\left| b \right|} + 315 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} b^{2} c d^{4} {\left| b \right|} - 315 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a b d^{5} {\left| b \right|} + 210 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} d^{4} {\left| b \right|}\right)}}{315 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{9} b}"," ",0,"-32/315*(sqrt(b*d)*b^12*c^6*d^4*abs(b) - 6*sqrt(b*d)*a*b^11*c^5*d^5*abs(b) + 15*sqrt(b*d)*a^2*b^10*c^4*d^6*abs(b) - 20*sqrt(b*d)*a^3*b^9*c^3*d^7*abs(b) + 15*sqrt(b*d)*a^4*b^8*c^2*d^8*abs(b) - 6*sqrt(b*d)*a^5*b^7*c*d^9*abs(b) + sqrt(b*d)*a^6*b^6*d^10*abs(b) - 9*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^10*c^5*d^4*abs(b) + 45*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^9*c^4*d^5*abs(b) - 90*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^8*c^3*d^6*abs(b) + 90*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^7*c^2*d^7*abs(b) - 45*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^6*c*d^8*abs(b) + 9*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^5*b^5*d^9*abs(b) + 36*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^8*c^4*d^4*abs(b) - 144*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^7*c^3*d^5*abs(b) + 216*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^6*c^2*d^6*abs(b) - 144*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^5*c*d^7*abs(b) + 36*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^4*b^4*d^8*abs(b) + 126*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^6*c^3*d^4*abs(b) - 378*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^5*c^2*d^5*abs(b) + 378*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b^4*c*d^6*abs(b) - 126*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^3*b^3*d^7*abs(b) + 441*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^4*c^2*d^4*abs(b) - 882*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b^3*c*d^5*abs(b) + 441*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^2*b^2*d^6*abs(b) + 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^2*c*d^4*abs(b) - 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a*b*d^5*abs(b) + 210*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*d^4*abs(b))/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^9*b)","B",0
1480,1,1823,0,3.282388," ","integrate((d*x+c)^(3/2)/(b*x+a)^(13/2),x, algorithm=""giac"")","\frac{64 \, {\left(\sqrt{b d} b^{14} c^{7} d^{5} {\left| b \right|} - 7 \, \sqrt{b d} a b^{13} c^{6} d^{6} {\left| b \right|} + 21 \, \sqrt{b d} a^{2} b^{12} c^{5} d^{7} {\left| b \right|} - 35 \, \sqrt{b d} a^{3} b^{11} c^{4} d^{8} {\left| b \right|} + 35 \, \sqrt{b d} a^{4} b^{10} c^{3} d^{9} {\left| b \right|} - 21 \, \sqrt{b d} a^{5} b^{9} c^{2} d^{10} {\left| b \right|} + 7 \, \sqrt{b d} a^{6} b^{8} c d^{11} {\left| b \right|} - \sqrt{b d} a^{7} b^{7} d^{12} {\left| b \right|} - 11 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{12} c^{6} d^{5} {\left| b \right|} + 66 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{11} c^{5} d^{6} {\left| b \right|} - 165 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{10} c^{4} d^{7} {\left| b \right|} + 220 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{9} c^{3} d^{8} {\left| b \right|} - 165 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{4} b^{8} c^{2} d^{9} {\left| b \right|} + 66 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{5} b^{7} c d^{10} {\left| b \right|} - 11 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{6} b^{6} d^{11} {\left| b \right|} + 55 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{10} c^{5} d^{5} {\left| b \right|} - 275 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{9} c^{4} d^{6} {\left| b \right|} + 550 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{8} c^{3} d^{7} {\left| b \right|} - 550 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{7} c^{2} d^{8} {\left| b \right|} + 275 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{4} b^{6} c d^{9} {\left| b \right|} - 55 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{5} b^{5} d^{10} {\left| b \right|} - 165 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{8} c^{4} d^{5} {\left| b \right|} + 660 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{7} c^{3} d^{6} {\left| b \right|} - 990 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{2} b^{6} c^{2} d^{7} {\left| b \right|} + 660 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{3} b^{5} c d^{8} {\left| b \right|} - 165 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{4} b^{4} d^{9} {\left| b \right|} - 825 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{6} c^{3} d^{5} {\left| b \right|} + 2475 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a b^{5} c^{2} d^{6} {\left| b \right|} - 2475 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{2} b^{4} c d^{7} {\left| b \right|} + 825 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{3} b^{3} d^{8} {\left| b \right|} - 2541 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} b^{4} c^{2} d^{5} {\left| b \right|} + 5082 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a b^{3} c d^{6} {\left| b \right|} - 2541 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a^{2} b^{2} d^{7} {\left| b \right|} - 2079 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} b^{2} c d^{5} {\left| b \right|} + 2079 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} a b d^{6} {\left| b \right|} - 1155 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{14} d^{5} {\left| b \right|}\right)}}{1155 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{11}}"," ",0,"64/1155*(sqrt(b*d)*b^14*c^7*d^5*abs(b) - 7*sqrt(b*d)*a*b^13*c^6*d^6*abs(b) + 21*sqrt(b*d)*a^2*b^12*c^5*d^7*abs(b) - 35*sqrt(b*d)*a^3*b^11*c^4*d^8*abs(b) + 35*sqrt(b*d)*a^4*b^10*c^3*d^9*abs(b) - 21*sqrt(b*d)*a^5*b^9*c^2*d^10*abs(b) + 7*sqrt(b*d)*a^6*b^8*c*d^11*abs(b) - sqrt(b*d)*a^7*b^7*d^12*abs(b) - 11*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^12*c^6*d^5*abs(b) + 66*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^11*c^5*d^6*abs(b) - 165*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^10*c^4*d^7*abs(b) + 220*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^9*c^3*d^8*abs(b) - 165*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^8*c^2*d^9*abs(b) + 66*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^5*b^7*c*d^10*abs(b) - 11*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^6*b^6*d^11*abs(b) + 55*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^10*c^5*d^5*abs(b) - 275*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^9*c^4*d^6*abs(b) + 550*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^8*c^3*d^7*abs(b) - 550*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^7*c^2*d^8*abs(b) + 275*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^4*b^6*c*d^9*abs(b) - 55*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^5*b^5*d^10*abs(b) - 165*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^8*c^4*d^5*abs(b) + 660*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^7*c^3*d^6*abs(b) - 990*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b^6*c^2*d^7*abs(b) + 660*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^3*b^5*c*d^8*abs(b) - 165*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^4*b^4*d^9*abs(b) - 825*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^6*c^3*d^5*abs(b) + 2475*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b^5*c^2*d^6*abs(b) - 2475*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^2*b^4*c*d^7*abs(b) + 825*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^3*b^3*d^8*abs(b) - 2541*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^4*c^2*d^5*abs(b) + 5082*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a*b^3*c*d^6*abs(b) - 2541*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^2*b^2*d^7*abs(b) - 2079*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^2*c*d^5*abs(b) + 2079*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a*b*d^6*abs(b) - 1155*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*d^5*abs(b))/(b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^11","B",0
1481,1,3120,0,3.533436," ","integrate((b*x+a)^(5/2)*(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{960 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} a c^{2} {\left| b \right|} - \frac{7680 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} a^{3} c^{2} {\left| b \right|}}{b^{2}} + 40 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3}} + \frac{b^{12} c d^{5} - 25 \, a b^{11} d^{6}}{b^{14} d^{6}}\right)} - \frac{5 \, b^{13} c^{2} d^{4} + 14 \, a b^{12} c d^{5} - 163 \, a^{2} b^{11} d^{6}}{b^{14} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{14} c^{3} d^{3} + 9 \, a b^{13} c^{2} d^{4} + 15 \, a^{2} b^{12} c d^{5} - 93 \, a^{3} b^{11} d^{6}\right)}}{b^{14} d^{6}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} c^{4} + 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 20 \, a^{3} b c d^{3} - 35 \, a^{4} d^{4}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{2} d^{3}}\right)} b c^{2} {\left| b \right|} + 240 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3}} + \frac{b^{12} c d^{5} - 25 \, a b^{11} d^{6}}{b^{14} d^{6}}\right)} - \frac{5 \, b^{13} c^{2} d^{4} + 14 \, a b^{12} c d^{5} - 163 \, a^{2} b^{11} d^{6}}{b^{14} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{14} c^{3} d^{3} + 9 \, a b^{13} c^{2} d^{4} + 15 \, a^{2} b^{12} c d^{5} - 93 \, a^{3} b^{11} d^{6}\right)}}{b^{14} d^{6}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} c^{4} + 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 20 \, a^{3} b c d^{3} - 35 \, a^{4} d^{4}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{2} d^{3}}\right)} a c d {\left| b \right|} + \frac{1920 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} a^{2} c d {\left| b \right|}}{b} + 8 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(6 \, {\left(b x + a\right)} {\left(\frac{8 \, {\left(b x + a\right)}}{b^{4}} + \frac{b^{20} c d^{7} - 41 \, a b^{19} d^{8}}{b^{23} d^{8}}\right)} - \frac{7 \, b^{21} c^{2} d^{6} + 26 \, a b^{20} c d^{7} - 513 \, a^{2} b^{19} d^{8}}{b^{23} d^{8}}\right)} + \frac{5 \, {\left(7 \, b^{22} c^{3} d^{5} + 19 \, a b^{21} c^{2} d^{6} + 37 \, a^{2} b^{20} c d^{7} - 447 \, a^{3} b^{19} d^{8}\right)}}{b^{23} d^{8}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} c^{4} d^{4} + 12 \, a b^{22} c^{3} d^{5} + 18 \, a^{2} b^{21} c^{2} d^{6} + 28 \, a^{3} b^{20} c d^{7} - 193 \, a^{4} b^{19} d^{8}\right)}}{b^{23} d^{8}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} c^{5} + 5 \, a b^{4} c^{4} d + 6 \, a^{2} b^{3} c^{3} d^{2} + 10 \, a^{3} b^{2} c^{2} d^{3} + 35 \, a^{4} b c d^{4} - 63 \, a^{5} d^{5}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{3} d^{4}}\right)} b c d {\left| b \right|} + 12 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(6 \, {\left(b x + a\right)} {\left(\frac{8 \, {\left(b x + a\right)}}{b^{4}} + \frac{b^{20} c d^{7} - 41 \, a b^{19} d^{8}}{b^{23} d^{8}}\right)} - \frac{7 \, b^{21} c^{2} d^{6} + 26 \, a b^{20} c d^{7} - 513 \, a^{2} b^{19} d^{8}}{b^{23} d^{8}}\right)} + \frac{5 \, {\left(7 \, b^{22} c^{3} d^{5} + 19 \, a b^{21} c^{2} d^{6} + 37 \, a^{2} b^{20} c d^{7} - 447 \, a^{3} b^{19} d^{8}\right)}}{b^{23} d^{8}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} c^{4} d^{4} + 12 \, a b^{22} c^{3} d^{5} + 18 \, a^{2} b^{21} c^{2} d^{6} + 28 \, a^{3} b^{20} c d^{7} - 193 \, a^{4} b^{19} d^{8}\right)}}{b^{23} d^{8}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} c^{5} + 5 \, a b^{4} c^{4} d + 6 \, a^{2} b^{3} c^{3} d^{2} + 10 \, a^{3} b^{2} c^{2} d^{3} + 35 \, a^{4} b c d^{4} - 63 \, a^{5} d^{5}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{3} d^{4}}\right)} a d^{2} {\left| b \right|} + \frac{320 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} a^{3} d^{2} {\left| b \right|}}{b^{2}} + \frac{120 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3}} + \frac{b^{12} c d^{5} - 25 \, a b^{11} d^{6}}{b^{14} d^{6}}\right)} - \frac{5 \, b^{13} c^{2} d^{4} + 14 \, a b^{12} c d^{5} - 163 \, a^{2} b^{11} d^{6}}{b^{14} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{14} c^{3} d^{3} + 9 \, a b^{13} c^{2} d^{4} + 15 \, a^{2} b^{12} c d^{5} - 93 \, a^{3} b^{11} d^{6}\right)}}{b^{14} d^{6}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} c^{4} + 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 20 \, a^{3} b c d^{3} - 35 \, a^{4} d^{4}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{2} d^{3}}\right)} a^{2} d^{2} {\left| b \right|}}{b} + {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(4 \, {\left(2 \, {\left(b x + a\right)} {\left(8 \, {\left(b x + a\right)} {\left(\frac{10 \, {\left(b x + a\right)}}{b^{5}} + \frac{b^{30} c d^{9} - 61 \, a b^{29} d^{10}}{b^{34} d^{10}}\right)} - \frac{3 \, {\left(3 \, b^{31} c^{2} d^{8} + 14 \, a b^{30} c d^{9} - 417 \, a^{2} b^{29} d^{10}\right)}}{b^{34} d^{10}}\right)} + \frac{21 \, b^{32} c^{3} d^{7} + 77 \, a b^{31} c^{2} d^{8} + 183 \, a^{2} b^{30} c d^{9} - 3481 \, a^{3} b^{29} d^{10}}{b^{34} d^{10}}\right)} {\left(b x + a\right)} - \frac{5 \, {\left(21 \, b^{33} c^{4} d^{6} + 56 \, a b^{32} c^{3} d^{7} + 106 \, a^{2} b^{31} c^{2} d^{8} + 176 \, a^{3} b^{30} c d^{9} - 2279 \, a^{4} b^{29} d^{10}\right)}}{b^{34} d^{10}}\right)} {\left(b x + a\right)} + \frac{15 \, {\left(21 \, b^{34} c^{5} d^{5} + 35 \, a b^{33} c^{4} d^{6} + 50 \, a^{2} b^{32} c^{3} d^{7} + 70 \, a^{3} b^{31} c^{2} d^{8} + 105 \, a^{4} b^{30} c d^{9} - 793 \, a^{5} b^{29} d^{10}\right)}}{b^{34} d^{10}}\right)} \sqrt{b x + a} + \frac{15 \, {\left(21 \, b^{6} c^{6} + 14 \, a b^{5} c^{5} d + 15 \, a^{2} b^{4} c^{4} d^{2} + 20 \, a^{3} b^{3} c^{3} d^{3} + 35 \, a^{4} b^{2} c^{2} d^{4} + 126 \, a^{5} b c d^{5} - 231 \, a^{6} d^{6}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{4} d^{5}}\right)} b d^{2} {\left| b \right|} + \frac{5760 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a^{2} c^{2} {\left| b \right|}}{b^{2}} + \frac{3840 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a^{3} c d {\left| b \right|}}{b^{3}}}{7680 \, b}"," ",0,"1/7680*(960*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*a*c^2*abs(b) - 7680*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*a^3*c^2*abs(b)/b^2 + 40*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*c*d^5 - 25*a*b^11*d^6)/(b^14*d^6)) - (5*b^13*c^2*d^4 + 14*a*b^12*c*d^5 - 163*a^2*b^11*d^6)/(b^14*d^6)) + 3*(5*b^14*c^3*d^3 + 9*a*b^13*c^2*d^4 + 15*a^2*b^12*c*d^5 - 93*a^3*b^11*d^6)/(b^14*d^6))*sqrt(b*x + a) + 3*(5*b^4*c^4 + 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 35*a^4*d^4)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^2*d^3))*b*c^2*abs(b) + 240*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*c*d^5 - 25*a*b^11*d^6)/(b^14*d^6)) - (5*b^13*c^2*d^4 + 14*a*b^12*c*d^5 - 163*a^2*b^11*d^6)/(b^14*d^6)) + 3*(5*b^14*c^3*d^3 + 9*a*b^13*c^2*d^4 + 15*a^2*b^12*c*d^5 - 93*a^3*b^11*d^6)/(b^14*d^6))*sqrt(b*x + a) + 3*(5*b^4*c^4 + 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 35*a^4*d^4)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^2*d^3))*a*c*d*abs(b) + 1920*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*a^2*c*d*abs(b)/b + 8*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*c*d^7 - 41*a*b^19*d^8)/(b^23*d^8)) - (7*b^21*c^2*d^6 + 26*a*b^20*c*d^7 - 513*a^2*b^19*d^8)/(b^23*d^8)) + 5*(7*b^22*c^3*d^5 + 19*a*b^21*c^2*d^6 + 37*a^2*b^20*c*d^7 - 447*a^3*b^19*d^8)/(b^23*d^8))*(b*x + a) - 15*(7*b^23*c^4*d^4 + 12*a*b^22*c^3*d^5 + 18*a^2*b^21*c^2*d^6 + 28*a^3*b^20*c*d^7 - 193*a^4*b^19*d^8)/(b^23*d^8))*sqrt(b*x + a) - 15*(7*b^5*c^5 + 5*a*b^4*c^4*d + 6*a^2*b^3*c^3*d^2 + 10*a^3*b^2*c^2*d^3 + 35*a^4*b*c*d^4 - 63*a^5*d^5)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^3*d^4))*b*c*d*abs(b) + 12*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*c*d^7 - 41*a*b^19*d^8)/(b^23*d^8)) - (7*b^21*c^2*d^6 + 26*a*b^20*c*d^7 - 513*a^2*b^19*d^8)/(b^23*d^8)) + 5*(7*b^22*c^3*d^5 + 19*a*b^21*c^2*d^6 + 37*a^2*b^20*c*d^7 - 447*a^3*b^19*d^8)/(b^23*d^8))*(b*x + a) - 15*(7*b^23*c^4*d^4 + 12*a*b^22*c^3*d^5 + 18*a^2*b^21*c^2*d^6 + 28*a^3*b^20*c*d^7 - 193*a^4*b^19*d^8)/(b^23*d^8))*sqrt(b*x + a) - 15*(7*b^5*c^5 + 5*a*b^4*c^4*d + 6*a^2*b^3*c^3*d^2 + 10*a^3*b^2*c^2*d^3 + 35*a^4*b*c*d^4 - 63*a^5*d^5)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^3*d^4))*a*d^2*abs(b) + 320*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*a^3*d^2*abs(b)/b^2 + 120*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*c*d^5 - 25*a*b^11*d^6)/(b^14*d^6)) - (5*b^13*c^2*d^4 + 14*a*b^12*c*d^5 - 163*a^2*b^11*d^6)/(b^14*d^6)) + 3*(5*b^14*c^3*d^3 + 9*a*b^13*c^2*d^4 + 15*a^2*b^12*c*d^5 - 93*a^3*b^11*d^6)/(b^14*d^6))*sqrt(b*x + a) + 3*(5*b^4*c^4 + 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 35*a^4*d^4)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^2*d^3))*a^2*d^2*abs(b)/b + (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(4*(2*(b*x + a)*(8*(b*x + a)*(10*(b*x + a)/b^5 + (b^30*c*d^9 - 61*a*b^29*d^10)/(b^34*d^10)) - 3*(3*b^31*c^2*d^8 + 14*a*b^30*c*d^9 - 417*a^2*b^29*d^10)/(b^34*d^10)) + (21*b^32*c^3*d^7 + 77*a*b^31*c^2*d^8 + 183*a^2*b^30*c*d^9 - 3481*a^3*b^29*d^10)/(b^34*d^10))*(b*x + a) - 5*(21*b^33*c^4*d^6 + 56*a*b^32*c^3*d^7 + 106*a^2*b^31*c^2*d^8 + 176*a^3*b^30*c*d^9 - 2279*a^4*b^29*d^10)/(b^34*d^10))*(b*x + a) + 15*(21*b^34*c^5*d^5 + 35*a*b^33*c^4*d^6 + 50*a^2*b^32*c^3*d^7 + 70*a^3*b^31*c^2*d^8 + 105*a^4*b^30*c*d^9 - 793*a^5*b^29*d^10)/(b^34*d^10))*sqrt(b*x + a) + 15*(21*b^6*c^6 + 14*a*b^5*c^5*d + 15*a^2*b^4*c^4*d^2 + 20*a^3*b^3*c^3*d^3 + 35*a^4*b^2*c^2*d^4 + 126*a^5*b*c*d^5 - 231*a^6*d^6)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^4*d^5))*b*d^2*abs(b) + 5760*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a^2*c^2*abs(b)/b^2 + 3840*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a^3*c*d*abs(b)/b^3)/b","B",0
1482,1,1962,0,2.325671," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{80 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} c^{2} {\left| b \right|} - \frac{1920 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} a^{2} c^{2} {\left| b \right|}}{b^{2}} + 20 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3}} + \frac{b^{12} c d^{5} - 25 \, a b^{11} d^{6}}{b^{14} d^{6}}\right)} - \frac{5 \, b^{13} c^{2} d^{4} + 14 \, a b^{12} c d^{5} - 163 \, a^{2} b^{11} d^{6}}{b^{14} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{14} c^{3} d^{3} + 9 \, a b^{13} c^{2} d^{4} + 15 \, a^{2} b^{12} c d^{5} - 93 \, a^{3} b^{11} d^{6}\right)}}{b^{14} d^{6}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} c^{4} + 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 20 \, a^{3} b c d^{3} - 35 \, a^{4} d^{4}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{2} d^{3}}\right)} c d {\left| b \right|} + \frac{320 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} a c d {\left| b \right|}}{b} + {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(6 \, {\left(b x + a\right)} {\left(\frac{8 \, {\left(b x + a\right)}}{b^{4}} + \frac{b^{20} c d^{7} - 41 \, a b^{19} d^{8}}{b^{23} d^{8}}\right)} - \frac{7 \, b^{21} c^{2} d^{6} + 26 \, a b^{20} c d^{7} - 513 \, a^{2} b^{19} d^{8}}{b^{23} d^{8}}\right)} + \frac{5 \, {\left(7 \, b^{22} c^{3} d^{5} + 19 \, a b^{21} c^{2} d^{6} + 37 \, a^{2} b^{20} c d^{7} - 447 \, a^{3} b^{19} d^{8}\right)}}{b^{23} d^{8}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} c^{4} d^{4} + 12 \, a b^{22} c^{3} d^{5} + 18 \, a^{2} b^{21} c^{2} d^{6} + 28 \, a^{3} b^{20} c d^{7} - 193 \, a^{4} b^{19} d^{8}\right)}}{b^{23} d^{8}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} c^{5} + 5 \, a b^{4} c^{4} d + 6 \, a^{2} b^{3} c^{3} d^{2} + 10 \, a^{3} b^{2} c^{2} d^{3} + 35 \, a^{4} b c d^{4} - 63 \, a^{5} d^{5}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{3} d^{4}}\right)} d^{2} {\left| b \right|} + \frac{80 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} a^{2} d^{2} {\left| b \right|}}{b^{2}} + \frac{20 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3}} + \frac{b^{12} c d^{5} - 25 \, a b^{11} d^{6}}{b^{14} d^{6}}\right)} - \frac{5 \, b^{13} c^{2} d^{4} + 14 \, a b^{12} c d^{5} - 163 \, a^{2} b^{11} d^{6}}{b^{14} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{14} c^{3} d^{3} + 9 \, a b^{13} c^{2} d^{4} + 15 \, a^{2} b^{12} c d^{5} - 93 \, a^{3} b^{11} d^{6}\right)}}{b^{14} d^{6}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} c^{4} + 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 20 \, a^{3} b c d^{3} - 35 \, a^{4} d^{4}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{2} d^{3}}\right)} a d^{2} {\left| b \right|}}{b} + \frac{960 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a c^{2} {\left| b \right|}}{b^{2}} + \frac{960 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a^{2} c d {\left| b \right|}}{b^{3}}}{1920 \, b}"," ",0,"1/1920*(80*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*c^2*abs(b) - 1920*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*a^2*c^2*abs(b)/b^2 + 20*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*c*d^5 - 25*a*b^11*d^6)/(b^14*d^6)) - (5*b^13*c^2*d^4 + 14*a*b^12*c*d^5 - 163*a^2*b^11*d^6)/(b^14*d^6)) + 3*(5*b^14*c^3*d^3 + 9*a*b^13*c^2*d^4 + 15*a^2*b^12*c*d^5 - 93*a^3*b^11*d^6)/(b^14*d^6))*sqrt(b*x + a) + 3*(5*b^4*c^4 + 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 35*a^4*d^4)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^2*d^3))*c*d*abs(b) + 320*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*a*c*d*abs(b)/b + (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*c*d^7 - 41*a*b^19*d^8)/(b^23*d^8)) - (7*b^21*c^2*d^6 + 26*a*b^20*c*d^7 - 513*a^2*b^19*d^8)/(b^23*d^8)) + 5*(7*b^22*c^3*d^5 + 19*a*b^21*c^2*d^6 + 37*a^2*b^20*c*d^7 - 447*a^3*b^19*d^8)/(b^23*d^8))*(b*x + a) - 15*(7*b^23*c^4*d^4 + 12*a*b^22*c^3*d^5 + 18*a^2*b^21*c^2*d^6 + 28*a^3*b^20*c*d^7 - 193*a^4*b^19*d^8)/(b^23*d^8))*sqrt(b*x + a) - 15*(7*b^5*c^5 + 5*a*b^4*c^4*d + 6*a^2*b^3*c^3*d^2 + 10*a^3*b^2*c^2*d^3 + 35*a^4*b*c*d^4 - 63*a^5*d^5)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^3*d^4))*d^2*abs(b) + 80*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*a^2*d^2*abs(b)/b^2 + 20*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*c*d^5 - 25*a*b^11*d^6)/(b^14*d^6)) - (5*b^13*c^2*d^4 + 14*a*b^12*c*d^5 - 163*a^2*b^11*d^6)/(b^14*d^6)) + 3*(5*b^14*c^3*d^3 + 9*a*b^13*c^2*d^4 + 15*a^2*b^12*c*d^5 - 93*a^3*b^11*d^6)/(b^14*d^6))*sqrt(b*x + a) + 3*(5*b^4*c^4 + 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 35*a^4*d^4)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^2*d^3))*a*d^2*abs(b)/b + 960*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a*c^2*abs(b)/b^2 + 960*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a^2*c*d*abs(b)/b^3)/b","B",0
1483,1,1083,0,1.926134," ","integrate((b*x+a)^(1/2)*(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{\frac{192 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} a c^{2} {\left| b \right|}}{b^{2}} - \frac{16 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} c d {\left| b \right|}}{b} - \frac{8 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} a d^{2} {\left| b \right|}}{b^{2}} - \frac{{\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3}} + \frac{b^{12} c d^{5} - 25 \, a b^{11} d^{6}}{b^{14} d^{6}}\right)} - \frac{5 \, b^{13} c^{2} d^{4} + 14 \, a b^{12} c d^{5} - 163 \, a^{2} b^{11} d^{6}}{b^{14} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{14} c^{3} d^{3} + 9 \, a b^{13} c^{2} d^{4} + 15 \, a^{2} b^{12} c d^{5} - 93 \, a^{3} b^{11} d^{6}\right)}}{b^{14} d^{6}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} c^{4} + 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} + 20 \, a^{3} b c d^{3} - 35 \, a^{4} d^{4}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b^{2} d^{3}}\right)} d^{2} {\left| b \right|}}{b} - \frac{48 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} c^{2} {\left| b \right|}}{b^{2}} - \frac{96 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} a c d {\left| b \right|}}{b^{3}}}{192 \, b}"," ",0,"-1/192*(192*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*a*c^2*abs(b)/b^2 - 16*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*c*d*abs(b)/b - 8*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*a*d^2*abs(b)/b^2 - (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*c*d^5 - 25*a*b^11*d^6)/(b^14*d^6)) - (5*b^13*c^2*d^4 + 14*a*b^12*c*d^5 - 163*a^2*b^11*d^6)/(b^14*d^6)) + 3*(5*b^14*c^3*d^3 + 9*a*b^13*c^2*d^4 + 15*a^2*b^12*c*d^5 - 93*a^3*b^11*d^6)/(b^14*d^6))*sqrt(b*x + a) + 3*(5*b^4*c^4 + 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 35*a^4*d^4)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b^2*d^3))*d^2*abs(b)/b - 48*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*c^2*abs(b)/b^2 - 96*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*a*c*d*abs(b)/b^3)/b","B",0
1484,1,446,0,1.430858," ","integrate((d*x+c)^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{24 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} c^{2} {\left| b \right|}}{b^{2}} - \frac{{\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{b^{6} c d^{3} - 13 \, a b^{5} d^{4}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{7} c^{2} d^{2} + 2 \, a b^{6} c d^{3} - 11 \, a^{2} b^{5} d^{4}\right)}}{b^{7} d^{4}}\right)} - \frac{3 \, {\left(b^{3} c^{3} + a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} b d^{2}}\right)} d^{2} {\left| b \right|}}{b^{2}} - \frac{12 \, {\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} c d {\left| b \right|}}{b^{3}}}{24 \, b}"," ",0,"-1/24*(24*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*c^2*abs(b)/b^2 - (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*c*d^3 - 13*a*b^5*d^4)/(b^7*d^4)) - 3*(b^7*c^2*d^2 + 2*a*b^6*c*d^3 - 11*a^2*b^5*d^4)/(b^7*d^4)) - 3*(b^3*c^3 + a*b^2*c^2*d + 3*a^2*b*c*d^2 - 5*a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*b*d^2))*d^2*abs(b)/b^2 - 12*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*c*d*abs(b)/b^3)/b","B",0
1485,1,287,0,2.017920," ","integrate((d*x+c)^(5/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(\frac{2 \, {\left(b x + a\right)} d^{2} {\left| b \right|}}{b^{5}} + \frac{9 \, {\left(b^{10} c d^{3} {\left| b \right|} - a b^{9} d^{4} {\left| b \right|}\right)}}{b^{14} d^{2}}\right)} - \frac{15 \, {\left(\sqrt{b d} b^{2} c^{2} {\left| b \right|} - 2 \, \sqrt{b d} a b c d {\left| b \right|} + \sqrt{b d} a^{2} d^{2} {\left| b \right|}\right)} \log\left({\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}{8 \, b^{5}} - \frac{4 \, {\left(\sqrt{b d} b^{3} c^{3} {\left| b \right|} - 3 \, \sqrt{b d} a b^{2} c^{2} d {\left| b \right|} + 3 \, \sqrt{b d} a^{2} b c d^{2} {\left| b \right|} - \sqrt{b d} a^{3} d^{3} {\left| b \right|}\right)}}{{\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)} b^{4}}"," ",0,"1/4*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*d^2*abs(b)/b^5 + 9*(b^10*c*d^3*abs(b) - a*b^9*d^4*abs(b))/(b^14*d^2)) - 15/8*(sqrt(b*d)*b^2*c^2*abs(b) - 2*sqrt(b*d)*a*b*c*d*abs(b) + sqrt(b*d)*a^2*d^2*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/b^5 - 4*(sqrt(b*d)*b^3*c^3*abs(b) - 3*sqrt(b*d)*a*b^2*c^2*d*abs(b) + 3*sqrt(b*d)*a^2*b*c*d^2*abs(b) - sqrt(b*d)*a^3*d^3*abs(b))/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)*b^4)","B",0
1486,1,650,0,2.186365," ","integrate((d*x+c)^(5/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} d^{2} {\left| b \right|}}{b^{5}} - \frac{5 \, {\left(\sqrt{b d} b c d {\left| b \right|} - \sqrt{b d} a d^{2} {\left| b \right|}\right)} \log\left({\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}{2 \, b^{5}} - \frac{4 \, {\left(7 \, \sqrt{b d} b^{6} c^{4} d {\left| b \right|} - 28 \, \sqrt{b d} a b^{5} c^{3} d^{2} {\left| b \right|} + 42 \, \sqrt{b d} a^{2} b^{4} c^{2} d^{3} {\left| b \right|} - 28 \, \sqrt{b d} a^{3} b^{3} c d^{4} {\left| b \right|} + 7 \, \sqrt{b d} a^{4} b^{2} d^{5} {\left| b \right|} - 12 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{4} c^{3} d {\left| b \right|} + 36 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{3} c^{2} d^{2} {\left| b \right|} - 36 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{2} c d^{3} {\left| b \right|} + 12 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b d^{4} {\left| b \right|} + 9 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{2} c^{2} d {\left| b \right|} - 18 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b c d^{2} {\left| b \right|} + 9 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} d^{3} {\left| b \right|}\right)}}{3 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{3} b^{4}}"," ",0,"sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*d^2*abs(b)/b^5 - 5/2*(sqrt(b*d)*b*c*d*abs(b) - sqrt(b*d)*a*d^2*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/b^5 - 4/3*(7*sqrt(b*d)*b^6*c^4*d*abs(b) - 28*sqrt(b*d)*a*b^5*c^3*d^2*abs(b) + 42*sqrt(b*d)*a^2*b^4*c^2*d^3*abs(b) - 28*sqrt(b*d)*a^3*b^3*c*d^4*abs(b) + 7*sqrt(b*d)*a^4*b^2*d^5*abs(b) - 12*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^4*c^3*d*abs(b) + 36*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^3*c^2*d^2*abs(b) - 36*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^2*c*d^3*abs(b) + 12*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b*d^4*abs(b) + 9*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^2*c^2*d*abs(b) - 18*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b*c*d^2*abs(b) + 9*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*d^3*abs(b))/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^3*b^4)","B",0
1487,1,1025,0,2.477051," ","integrate((d*x+c)^(5/2)/(b*x+a)^(7/2),x, algorithm=""giac"")","-\frac{\sqrt{b d} d^{2} {\left| b \right|} \log\left({\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}{b^{5}} - \frac{4 \, {\left(23 \, \sqrt{b d} b^{9} c^{5} d^{2} {\left| b \right|} - 115 \, \sqrt{b d} a b^{8} c^{4} d^{3} {\left| b \right|} + 230 \, \sqrt{b d} a^{2} b^{7} c^{3} d^{4} {\left| b \right|} - 230 \, \sqrt{b d} a^{3} b^{6} c^{2} d^{5} {\left| b \right|} + 115 \, \sqrt{b d} a^{4} b^{5} c d^{6} {\left| b \right|} - 23 \, \sqrt{b d} a^{5} b^{4} d^{7} {\left| b \right|} - 70 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{7} c^{4} d^{2} {\left| b \right|} + 280 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{6} c^{3} d^{3} {\left| b \right|} - 420 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{5} c^{2} d^{4} {\left| b \right|} + 280 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{4} c d^{5} {\left| b \right|} - 70 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{4} b^{3} d^{6} {\left| b \right|} + 140 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{5} c^{3} d^{2} {\left| b \right|} - 420 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{4} c^{2} d^{3} {\left| b \right|} + 420 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{3} c d^{4} {\left| b \right|} - 140 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{2} d^{5} {\left| b \right|} - 90 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{3} c^{2} d^{2} {\left| b \right|} + 180 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{2} c d^{3} {\left| b \right|} - 90 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{2} b d^{4} {\left| b \right|} + 45 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b c d^{2} {\left| b \right|} - 45 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a d^{3} {\left| b \right|}\right)}}{15 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{5} b^{4}}"," ",0,"-sqrt(b*d)*d^2*abs(b)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/b^5 - 4/15*(23*sqrt(b*d)*b^9*c^5*d^2*abs(b) - 115*sqrt(b*d)*a*b^8*c^4*d^3*abs(b) + 230*sqrt(b*d)*a^2*b^7*c^3*d^4*abs(b) - 230*sqrt(b*d)*a^3*b^6*c^2*d^5*abs(b) + 115*sqrt(b*d)*a^4*b^5*c*d^6*abs(b) - 23*sqrt(b*d)*a^5*b^4*d^7*abs(b) - 70*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^7*c^4*d^2*abs(b) + 280*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^6*c^3*d^3*abs(b) - 420*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^5*c^2*d^4*abs(b) + 280*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^4*c*d^5*abs(b) - 70*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^3*d^6*abs(b) + 140*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^5*c^3*d^2*abs(b) - 420*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^4*c^2*d^3*abs(b) + 420*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^3*c*d^4*abs(b) - 140*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^2*d^5*abs(b) - 90*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^3*c^2*d^2*abs(b) + 180*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^2*c*d^3*abs(b) - 90*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b*d^4*abs(b) + 45*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b*c*d^2*abs(b) - 45*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*d^3*abs(b))/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^5*b^4)","B",0
1488,1,706,0,2.541163," ","integrate((d*x+c)^(5/2)/(b*x+a)^(9/2),x, algorithm=""giac"")","-\frac{4 \, {\left(\sqrt{b d} b^{12} c^{6} d^{3} {\left| b \right|} - 6 \, \sqrt{b d} a b^{11} c^{5} d^{4} {\left| b \right|} + 15 \, \sqrt{b d} a^{2} b^{10} c^{4} d^{5} {\left| b \right|} - 20 \, \sqrt{b d} a^{3} b^{9} c^{3} d^{6} {\left| b \right|} + 15 \, \sqrt{b d} a^{4} b^{8} c^{2} d^{7} {\left| b \right|} - 6 \, \sqrt{b d} a^{5} b^{7} c d^{8} {\left| b \right|} + \sqrt{b d} a^{6} b^{6} d^{9} {\left| b \right|} + 21 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{8} c^{4} d^{3} {\left| b \right|} - 84 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{7} c^{3} d^{4} {\left| b \right|} + 126 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{6} c^{2} d^{5} {\left| b \right|} - 84 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{5} c d^{6} {\left| b \right|} + 21 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{4} b^{4} d^{7} {\left| b \right|} + 35 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{4} c^{2} d^{3} {\left| b \right|} - 70 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a b^{3} c d^{4} {\left| b \right|} + 35 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{2} b^{2} d^{5} {\left| b \right|} + 7 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} d^{3} {\left| b \right|}\right)}}{7 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{7} b^{4}}"," ",0,"-4/7*(sqrt(b*d)*b^12*c^6*d^3*abs(b) - 6*sqrt(b*d)*a*b^11*c^5*d^4*abs(b) + 15*sqrt(b*d)*a^2*b^10*c^4*d^5*abs(b) - 20*sqrt(b*d)*a^3*b^9*c^3*d^6*abs(b) + 15*sqrt(b*d)*a^4*b^8*c^2*d^7*abs(b) - 6*sqrt(b*d)*a^5*b^7*c*d^8*abs(b) + sqrt(b*d)*a^6*b^6*d^9*abs(b) + 21*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^8*c^4*d^3*abs(b) - 84*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^7*c^3*d^4*abs(b) + 126*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^6*c^2*d^5*abs(b) - 84*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^5*c*d^6*abs(b) + 21*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^4*b^4*d^7*abs(b) + 35*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^4*c^2*d^3*abs(b) - 70*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b^3*c*d^4*abs(b) + 35*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^2*b^2*d^5*abs(b) + 7*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*d^3*abs(b))/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^7*b^4)","B",0
1489,1,1826,0,3.803190," ","integrate((d*x+c)^(5/2)/(b*x+a)^(11/2),x, algorithm=""giac"")","\frac{8 \, {\left(\sqrt{b d} b^{14} c^{7} d^{4} {\left| b \right|} - 7 \, \sqrt{b d} a b^{13} c^{6} d^{5} {\left| b \right|} + 21 \, \sqrt{b d} a^{2} b^{12} c^{5} d^{6} {\left| b \right|} - 35 \, \sqrt{b d} a^{3} b^{11} c^{4} d^{7} {\left| b \right|} + 35 \, \sqrt{b d} a^{4} b^{10} c^{3} d^{8} {\left| b \right|} - 21 \, \sqrt{b d} a^{5} b^{9} c^{2} d^{9} {\left| b \right|} + 7 \, \sqrt{b d} a^{6} b^{8} c d^{10} {\left| b \right|} - \sqrt{b d} a^{7} b^{7} d^{11} {\left| b \right|} - 9 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{12} c^{6} d^{4} {\left| b \right|} + 54 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{11} c^{5} d^{5} {\left| b \right|} - 135 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{10} c^{4} d^{6} {\left| b \right|} + 180 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{9} c^{3} d^{7} {\left| b \right|} - 135 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{4} b^{8} c^{2} d^{8} {\left| b \right|} + 54 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{5} b^{7} c d^{9} {\left| b \right|} - 9 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{6} b^{6} d^{10} {\left| b \right|} - 27 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{10} c^{5} d^{4} {\left| b \right|} + 135 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{9} c^{4} d^{5} {\left| b \right|} - 270 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{8} c^{3} d^{6} {\left| b \right|} + 270 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{7} c^{2} d^{7} {\left| b \right|} - 135 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{4} b^{6} c d^{8} {\left| b \right|} + 27 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{5} b^{5} d^{9} {\left| b \right|} - 189 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{8} c^{4} d^{4} {\left| b \right|} + 756 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{7} c^{3} d^{5} {\left| b \right|} - 1134 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{2} b^{6} c^{2} d^{6} {\left| b \right|} + 756 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{3} b^{5} c d^{7} {\left| b \right|} - 189 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{4} b^{4} d^{8} {\left| b \right|} - 189 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{6} c^{3} d^{4} {\left| b \right|} + 567 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a b^{5} c^{2} d^{5} {\left| b \right|} - 567 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{2} b^{4} c d^{6} {\left| b \right|} + 189 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{3} b^{3} d^{7} {\left| b \right|} - 315 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} b^{4} c^{2} d^{4} {\left| b \right|} + 630 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a b^{3} c d^{5} {\left| b \right|} - 315 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a^{2} b^{2} d^{6} {\left| b \right|} - 105 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} b^{2} c d^{4} {\left| b \right|} + 105 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} a b d^{5} {\left| b \right|} - 63 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{14} d^{4} {\left| b \right|}\right)}}{63 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{9} b^{3}}"," ",0,"8/63*(sqrt(b*d)*b^14*c^7*d^4*abs(b) - 7*sqrt(b*d)*a*b^13*c^6*d^5*abs(b) + 21*sqrt(b*d)*a^2*b^12*c^5*d^6*abs(b) - 35*sqrt(b*d)*a^3*b^11*c^4*d^7*abs(b) + 35*sqrt(b*d)*a^4*b^10*c^3*d^8*abs(b) - 21*sqrt(b*d)*a^5*b^9*c^2*d^9*abs(b) + 7*sqrt(b*d)*a^6*b^8*c*d^10*abs(b) - sqrt(b*d)*a^7*b^7*d^11*abs(b) - 9*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^12*c^6*d^4*abs(b) + 54*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^11*c^5*d^5*abs(b) - 135*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^10*c^4*d^6*abs(b) + 180*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^9*c^3*d^7*abs(b) - 135*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^8*c^2*d^8*abs(b) + 54*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^5*b^7*c*d^9*abs(b) - 9*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^6*b^6*d^10*abs(b) - 27*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^10*c^5*d^4*abs(b) + 135*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^9*c^4*d^5*abs(b) - 270*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^8*c^3*d^6*abs(b) + 270*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^7*c^2*d^7*abs(b) - 135*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^4*b^6*c*d^8*abs(b) + 27*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^5*b^5*d^9*abs(b) - 189*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^8*c^4*d^4*abs(b) + 756*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^7*c^3*d^5*abs(b) - 1134*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b^6*c^2*d^6*abs(b) + 756*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^3*b^5*c*d^7*abs(b) - 189*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^4*b^4*d^8*abs(b) - 189*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^6*c^3*d^4*abs(b) + 567*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b^5*c^2*d^5*abs(b) - 567*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^2*b^4*c*d^6*abs(b) + 189*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^3*b^3*d^7*abs(b) - 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^4*c^2*d^4*abs(b) + 630*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a*b^3*c*d^5*abs(b) - 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^2*b^2*d^6*abs(b) - 105*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^2*c*d^4*abs(b) + 105*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a*b*d^5*abs(b) - 63*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*d^4*abs(b))/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^9*b^3)","B",0
1490,1,2316,0,4.591804," ","integrate((d*x+c)^(5/2)/(b*x+a)^(13/2),x, algorithm=""giac"")","-\frac{32 \, {\left(\sqrt{b d} b^{16} c^{8} d^{5} {\left| b \right|} - 8 \, \sqrt{b d} a b^{15} c^{7} d^{6} {\left| b \right|} + 28 \, \sqrt{b d} a^{2} b^{14} c^{6} d^{7} {\left| b \right|} - 56 \, \sqrt{b d} a^{3} b^{13} c^{5} d^{8} {\left| b \right|} + 70 \, \sqrt{b d} a^{4} b^{12} c^{4} d^{9} {\left| b \right|} - 56 \, \sqrt{b d} a^{5} b^{11} c^{3} d^{10} {\left| b \right|} + 28 \, \sqrt{b d} a^{6} b^{10} c^{2} d^{11} {\left| b \right|} - 8 \, \sqrt{b d} a^{7} b^{9} c d^{12} {\left| b \right|} + \sqrt{b d} a^{8} b^{8} d^{13} {\left| b \right|} - 11 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{14} c^{7} d^{5} {\left| b \right|} + 77 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{13} c^{6} d^{6} {\left| b \right|} - 231 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{12} c^{5} d^{7} {\left| b \right|} + 385 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{11} c^{4} d^{8} {\left| b \right|} - 385 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{4} b^{10} c^{3} d^{9} {\left| b \right|} + 231 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{5} b^{9} c^{2} d^{10} {\left| b \right|} - 77 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{6} b^{8} c d^{11} {\left| b \right|} + 11 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{7} b^{7} d^{12} {\left| b \right|} + 55 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{12} c^{6} d^{5} {\left| b \right|} - 330 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{11} c^{5} d^{6} {\left| b \right|} + 825 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{10} c^{4} d^{7} {\left| b \right|} - 1100 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{9} c^{3} d^{8} {\left| b \right|} + 825 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{4} b^{8} c^{2} d^{9} {\left| b \right|} - 330 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{5} b^{7} c d^{10} {\left| b \right|} + 55 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{6} b^{6} d^{11} {\left| b \right|} + 297 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{10} c^{5} d^{5} {\left| b \right|} - 1485 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{9} c^{4} d^{6} {\left| b \right|} + 2970 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{2} b^{8} c^{3} d^{7} {\left| b \right|} - 2970 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{3} b^{7} c^{2} d^{8} {\left| b \right|} + 1485 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{4} b^{6} c d^{9} {\left| b \right|} - 297 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{5} b^{5} d^{10} {\left| b \right|} + 1485 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{8} c^{4} d^{5} {\left| b \right|} - 5940 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a b^{7} c^{3} d^{6} {\left| b \right|} + 8910 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{2} b^{6} c^{2} d^{7} {\left| b \right|} - 5940 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{3} b^{5} c d^{8} {\left| b \right|} + 1485 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{4} b^{4} d^{9} {\left| b \right|} + 2079 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} b^{6} c^{3} d^{5} {\left| b \right|} - 6237 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a b^{5} c^{2} d^{6} {\left| b \right|} + 6237 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a^{2} b^{4} c d^{7} {\left| b \right|} - 2079 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a^{3} b^{3} d^{8} {\left| b \right|} + 2541 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} b^{4} c^{2} d^{5} {\left| b \right|} - 5082 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} a b^{3} c d^{6} {\left| b \right|} + 2541 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} a^{2} b^{2} d^{7} {\left| b \right|} + 1155 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{14} b^{2} c d^{5} {\left| b \right|} - 1155 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{14} a b d^{6} {\left| b \right|} + 462 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{16} d^{5} {\left| b \right|}\right)}}{693 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{11} b^{2}}"," ",0,"-32/693*(sqrt(b*d)*b^16*c^8*d^5*abs(b) - 8*sqrt(b*d)*a*b^15*c^7*d^6*abs(b) + 28*sqrt(b*d)*a^2*b^14*c^6*d^7*abs(b) - 56*sqrt(b*d)*a^3*b^13*c^5*d^8*abs(b) + 70*sqrt(b*d)*a^4*b^12*c^4*d^9*abs(b) - 56*sqrt(b*d)*a^5*b^11*c^3*d^10*abs(b) + 28*sqrt(b*d)*a^6*b^10*c^2*d^11*abs(b) - 8*sqrt(b*d)*a^7*b^9*c*d^12*abs(b) + sqrt(b*d)*a^8*b^8*d^13*abs(b) - 11*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^14*c^7*d^5*abs(b) + 77*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^13*c^6*d^6*abs(b) - 231*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^12*c^5*d^7*abs(b) + 385*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^11*c^4*d^8*abs(b) - 385*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^10*c^3*d^9*abs(b) + 231*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^5*b^9*c^2*d^10*abs(b) - 77*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^6*b^8*c*d^11*abs(b) + 11*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^7*b^7*d^12*abs(b) + 55*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^12*c^6*d^5*abs(b) - 330*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^11*c^5*d^6*abs(b) + 825*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^10*c^4*d^7*abs(b) - 1100*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^9*c^3*d^8*abs(b) + 825*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^4*b^8*c^2*d^9*abs(b) - 330*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^5*b^7*c*d^10*abs(b) + 55*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^6*b^6*d^11*abs(b) + 297*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^10*c^5*d^5*abs(b) - 1485*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^9*c^4*d^6*abs(b) + 2970*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b^8*c^3*d^7*abs(b) - 2970*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^3*b^7*c^2*d^8*abs(b) + 1485*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^4*b^6*c*d^9*abs(b) - 297*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^5*b^5*d^10*abs(b) + 1485*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^8*c^4*d^5*abs(b) - 5940*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b^7*c^3*d^6*abs(b) + 8910*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^2*b^6*c^2*d^7*abs(b) - 5940*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^3*b^5*c*d^8*abs(b) + 1485*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^4*b^4*d^9*abs(b) + 2079*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^6*c^3*d^5*abs(b) - 6237*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a*b^5*c^2*d^6*abs(b) + 6237*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^2*b^4*c*d^7*abs(b) - 2079*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^3*b^3*d^8*abs(b) + 2541*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^4*c^2*d^5*abs(b) - 5082*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a*b^3*c*d^6*abs(b) + 2541*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^2*b^2*d^7*abs(b) + 1155*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^2*c*d^5*abs(b) - 1155*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a*b*d^6*abs(b) + 462*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*d^5*abs(b))/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^11*b^2)","B",0
1491,1,2868,0,6.087733," ","integrate((d*x+c)^(5/2)/(b*x+a)^(15/2),x, algorithm=""giac"")","\frac{64 \, {\left(\sqrt{b d} b^{18} c^{9} d^{6} {\left| b \right|} - 9 \, \sqrt{b d} a b^{17} c^{8} d^{7} {\left| b \right|} + 36 \, \sqrt{b d} a^{2} b^{16} c^{7} d^{8} {\left| b \right|} - 84 \, \sqrt{b d} a^{3} b^{15} c^{6} d^{9} {\left| b \right|} + 126 \, \sqrt{b d} a^{4} b^{14} c^{5} d^{10} {\left| b \right|} - 126 \, \sqrt{b d} a^{5} b^{13} c^{4} d^{11} {\left| b \right|} + 84 \, \sqrt{b d} a^{6} b^{12} c^{3} d^{12} {\left| b \right|} - 36 \, \sqrt{b d} a^{7} b^{11} c^{2} d^{13} {\left| b \right|} + 9 \, \sqrt{b d} a^{8} b^{10} c d^{14} {\left| b \right|} - \sqrt{b d} a^{9} b^{9} d^{15} {\left| b \right|} - 13 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{16} c^{8} d^{6} {\left| b \right|} + 104 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{15} c^{7} d^{7} {\left| b \right|} - 364 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{14} c^{6} d^{8} {\left| b \right|} + 728 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{13} c^{5} d^{9} {\left| b \right|} - 910 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{4} b^{12} c^{4} d^{10} {\left| b \right|} + 728 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{5} b^{11} c^{3} d^{11} {\left| b \right|} - 364 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{6} b^{10} c^{2} d^{12} {\left| b \right|} + 104 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{7} b^{9} c d^{13} {\left| b \right|} - 13 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{8} b^{8} d^{14} {\left| b \right|} + 78 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{14} c^{7} d^{6} {\left| b \right|} - 546 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{13} c^{6} d^{7} {\left| b \right|} + 1638 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{12} c^{5} d^{8} {\left| b \right|} - 2730 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{11} c^{4} d^{9} {\left| b \right|} + 2730 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{4} b^{10} c^{3} d^{10} {\left| b \right|} - 1638 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{5} b^{9} c^{2} d^{11} {\left| b \right|} + 546 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{6} b^{8} c d^{12} {\left| b \right|} - 78 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{7} b^{7} d^{13} {\left| b \right|} - 286 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{12} c^{6} d^{6} {\left| b \right|} + 1716 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{11} c^{5} d^{7} {\left| b \right|} - 4290 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{2} b^{10} c^{4} d^{8} {\left| b \right|} + 5720 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{3} b^{9} c^{3} d^{9} {\left| b \right|} - 4290 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{4} b^{8} c^{2} d^{10} {\left| b \right|} + 1716 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{5} b^{7} c d^{11} {\left| b \right|} - 286 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{6} b^{6} d^{12} {\left| b \right|} - 2288 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{10} c^{5} d^{6} {\left| b \right|} + 11440 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a b^{9} c^{4} d^{7} {\left| b \right|} - 22880 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{2} b^{8} c^{3} d^{8} {\left| b \right|} + 22880 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{3} b^{7} c^{2} d^{9} {\left| b \right|} - 11440 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{4} b^{6} c d^{10} {\left| b \right|} + 2288 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{5} b^{5} d^{11} {\left| b \right|} - 10296 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} b^{8} c^{4} d^{6} {\left| b \right|} + 41184 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a b^{7} c^{3} d^{7} {\left| b \right|} - 61776 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a^{2} b^{6} c^{2} d^{8} {\left| b \right|} + 41184 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a^{3} b^{5} c d^{9} {\left| b \right|} - 10296 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a^{4} b^{4} d^{10} {\left| b \right|} - 16302 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} b^{6} c^{3} d^{6} {\left| b \right|} + 48906 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} a b^{5} c^{2} d^{7} {\left| b \right|} - 48906 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} a^{2} b^{4} c d^{8} {\left| b \right|} + 16302 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} a^{3} b^{3} d^{9} {\left| b \right|} - 18018 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{14} b^{4} c^{2} d^{6} {\left| b \right|} + 36036 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{14} a b^{3} c d^{7} {\left| b \right|} - 18018 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{14} a^{2} b^{2} d^{8} {\left| b \right|} - 9009 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{16} b^{2} c d^{6} {\left| b \right|} + 9009 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{16} a b d^{7} {\left| b \right|} - 3003 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{18} d^{6} {\left| b \right|}\right)}}{3003 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{13} b}"," ",0,"64/3003*(sqrt(b*d)*b^18*c^9*d^6*abs(b) - 9*sqrt(b*d)*a*b^17*c^8*d^7*abs(b) + 36*sqrt(b*d)*a^2*b^16*c^7*d^8*abs(b) - 84*sqrt(b*d)*a^3*b^15*c^6*d^9*abs(b) + 126*sqrt(b*d)*a^4*b^14*c^5*d^10*abs(b) - 126*sqrt(b*d)*a^5*b^13*c^4*d^11*abs(b) + 84*sqrt(b*d)*a^6*b^12*c^3*d^12*abs(b) - 36*sqrt(b*d)*a^7*b^11*c^2*d^13*abs(b) + 9*sqrt(b*d)*a^8*b^10*c*d^14*abs(b) - sqrt(b*d)*a^9*b^9*d^15*abs(b) - 13*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^16*c^8*d^6*abs(b) + 104*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^15*c^7*d^7*abs(b) - 364*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^14*c^6*d^8*abs(b) + 728*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^13*c^5*d^9*abs(b) - 910*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^12*c^4*d^10*abs(b) + 728*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^5*b^11*c^3*d^11*abs(b) - 364*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^6*b^10*c^2*d^12*abs(b) + 104*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^7*b^9*c*d^13*abs(b) - 13*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^8*b^8*d^14*abs(b) + 78*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^14*c^7*d^6*abs(b) - 546*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^13*c^6*d^7*abs(b) + 1638*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^12*c^5*d^8*abs(b) - 2730*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^11*c^4*d^9*abs(b) + 2730*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^4*b^10*c^3*d^10*abs(b) - 1638*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^5*b^9*c^2*d^11*abs(b) + 546*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^6*b^8*c*d^12*abs(b) - 78*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^7*b^7*d^13*abs(b) - 286*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^12*c^6*d^6*abs(b) + 1716*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^11*c^5*d^7*abs(b) - 4290*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b^10*c^4*d^8*abs(b) + 5720*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^3*b^9*c^3*d^9*abs(b) - 4290*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^4*b^8*c^2*d^10*abs(b) + 1716*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^5*b^7*c*d^11*abs(b) - 286*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^6*b^6*d^12*abs(b) - 2288*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^10*c^5*d^6*abs(b) + 11440*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b^9*c^4*d^7*abs(b) - 22880*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^2*b^8*c^3*d^8*abs(b) + 22880*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^3*b^7*c^2*d^9*abs(b) - 11440*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^4*b^6*c*d^10*abs(b) + 2288*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^5*b^5*d^11*abs(b) - 10296*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^8*c^4*d^6*abs(b) + 41184*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a*b^7*c^3*d^7*abs(b) - 61776*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^2*b^6*c^2*d^8*abs(b) + 41184*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^3*b^5*c*d^9*abs(b) - 10296*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^4*b^4*d^10*abs(b) - 16302*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^6*c^3*d^6*abs(b) + 48906*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a*b^5*c^2*d^7*abs(b) - 48906*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^2*b^4*c*d^8*abs(b) + 16302*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^3*b^3*d^9*abs(b) - 18018*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^4*c^2*d^6*abs(b) + 36036*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a*b^3*c*d^7*abs(b) - 18018*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^2*b^2*d^8*abs(b) - 9009*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*b^2*c*d^6*abs(b) + 9009*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a*b*d^7*abs(b) - 3003*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*d^6*abs(b))/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^13*b)","B",0
1492,1,268,0,1.228649," ","integrate((b*x+a)^(7/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b d} - \frac{7 \, {\left(b c d^{5} - a d^{6}\right)}}{b d^{7}}\right)} + \frac{35 \, {\left(b^{2} c^{2} d^{4} - 2 \, a b c d^{5} + a^{2} d^{6}\right)}}{b d^{7}}\right)} - \frac{105 \, {\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)}}{b d^{7}}\right)} \sqrt{b x + a} - \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)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d^{4}}\right)} b}{192 \, {\left| b \right|}}"," ",0,"1/192*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/(b*d) - 7*(b*c*d^5 - a*d^6)/(b*d^7)) + 35*(b^2*c^2*d^4 - 2*a*b*c*d^5 + a^2*d^6)/(b*d^7)) - 105*(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)/(b*d^7))*sqrt(b*x + a) - 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)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d^4))*b/abs(b)","A",0
1493,1,198,0,1.269584," ","integrate((b*x+a)^(5/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b d} - \frac{5 \, {\left(b c d^{3} - a d^{4}\right)}}{b d^{5}}\right)} + \frac{15 \, {\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)}}{b d^{5}}\right)} + \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)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d^{3}}\right)} b}{24 \, {\left| b \right|}}"," ",0,"1/24*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/(b*d) - 5*(b*c*d^3 - a*d^4)/(b*d^5)) + 15*(b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)/(b*d^5)) + 15*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d^3))*b/abs(b)","A",0
1494,1,139,0,0.945035," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left(\frac{2 \, {\left(b x + a\right)}}{b d} - \frac{3 \, {\left(b c d - a d^{2}\right)}}{b d^{3}}\right)} - \frac{3 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d^{2}}\right)} b}{4 \, {\left| b \right|}}"," ",0,"1/4*(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)/(b*d) - 3*(b*c*d - a*d^2)/(b*d^3)) - 3*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d^2))*b/abs(b)","A",0
1495,1,97,0,1.115290," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{b {\left(\frac{{\left(b c - a d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d} + \frac{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}}{b d}\right)}}{{\left| b \right|}}"," ",0,"b*((b*c - a*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)/(b*d))/abs(b)","A",0
1496,1,50,0,1.096637," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, b \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} {\left| b \right|}}"," ",0,"-2*b*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*abs(b))","A",0
1497,1,66,0,1.042607," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{4 \, \sqrt{b d} b}{{\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)} {\left| b \right|}}"," ",0,"-4*sqrt(b*d)*b/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)*abs(b))","B",0
1498,1,121,0,1.079854," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{8 \, {\left(b^{2} c - a b d - 3 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)} \sqrt{b d} b^{2} d}{3 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{3} {\left| b \right|}}"," ",0,"8/3*(b^2*c - a*b*d - 3*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)*sqrt(b*d)*b^2*d/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^3*abs(b))","B",0
1499,1,227,0,1.269945," ","integrate(1/(b*x+a)^(7/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{32 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 5 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{2} c + 5 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b d + 10 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4}\right)} \sqrt{b d} b^{3} d^{2}}{15 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{5} {\left| b \right|}}"," ",0,"-32/15*(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 5*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c + 5*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + 10*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*sqrt(b*d)*b^3*d^2/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^5*abs(b))","B",0
1500,1,386,0,1.467839," ","integrate(1/(b*x+a)^(9/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{64 \, {\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} - 7 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{4} c^{2} + 14 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{3} c d - 7 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{2} d^{2} + 21 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{2} c - 21 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b d - 35 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6}\right)} \sqrt{b d} b^{4} d^{3}}{35 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{7} {\left| b \right|}}"," ",0,"64/35*(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 - 7*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^4*c^2 + 14*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^3*c*d - 7*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^2*d^2 + 21*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^2*c - 21*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b*d - 35*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6)*sqrt(b*d)*b^4*d^3/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^7*abs(b))","B",0
1501,1,596,0,1.567677," ","integrate(1/(b*x+a)^(11/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{512 \, {\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} - 9 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{6} c^{3} + 27 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{5} c^{2} d - 27 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{4} c d^{2} + 9 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{3} d^{3} + 36 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{4} c^{2} - 72 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{3} c d + 36 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{2} d^{2} - 84 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{2} c + 84 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b d + 126 \, {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8}\right)} \sqrt{b d} b^{5} d^{4}}{315 \, {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{9} {\left| b \right|}}"," ",0,"-512/315*(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 - 9*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^6*c^3 + 27*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^5*c^2*d - 27*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^4*c*d^2 + 9*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^3*d^3 + 36*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^4*c^2 - 72*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^3*c*d + 36*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^2*d^2 - 84*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^2*c + 84*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b*d + 126*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8)*sqrt(b*d)*b^5*d^4/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^9*abs(b))","B",0
1502,1,279,0,1.384559," ","integrate((b*x+a)^(7/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{{\left({\left(b x + a\right)} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)} b^{2}}{d {\left| b \right|}} - \frac{7 \, {\left(b^{3} c d^{5} - a b^{2} d^{6}\right)}}{d^{7} {\left| b \right|}}\right)} + \frac{35 \, {\left(b^{4} c^{2} d^{4} - 2 \, a b^{3} c d^{5} + a^{2} b^{2} d^{6}\right)}}{d^{7} {\left| b \right|}}\right)} + \frac{105 \, {\left(b^{5} c^{3} d^{3} - 3 \, a b^{4} c^{2} d^{4} + 3 \, a^{2} b^{3} c d^{5} - a^{3} b^{2} d^{6}\right)}}{d^{7} {\left| b \right|}}\right)} \sqrt{b x + a}}{24 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} + \frac{35 \, {\left(b^{5} c^{3} - 3 \, a b^{4} c^{2} d + 3 \, a^{2} b^{3} c d^{2} - a^{3} b^{2} d^{3}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{8 \, \sqrt{b d} d^{4} {\left| b \right|}}"," ",0,"1/24*((b*x + a)*(2*(b*x + a)*(4*(b*x + a)*b^2/(d*abs(b)) - 7*(b^3*c*d^5 - a*b^2*d^6)/(d^7*abs(b))) + 35*(b^4*c^2*d^4 - 2*a*b^3*c*d^5 + a^2*b^2*d^6)/(d^7*abs(b))) + 105*(b^5*c^3*d^3 - 3*a*b^4*c^2*d^4 + 3*a^2*b^3*c*d^5 - a^3*b^2*d^6)/(d^7*abs(b)))*sqrt(b*x + a)/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) + 35/8*(b^5*c^3 - 3*a*b^4*c^2*d + 3*a^2*b^3*c*d^2 - a^3*b^2*d^3)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d^4*abs(b))","B",0
1503,1,201,0,1.260441," ","integrate((b*x+a)^(5/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{b x + a} {\left({\left(b x + a\right)} {\left(\frac{2 \, {\left(b x + a\right)} b^{2}}{d {\left| b \right|}} - \frac{5 \, {\left(b^{3} c d^{3} - a b^{2} d^{4}\right)}}{d^{5} {\left| b \right|}}\right)} - \frac{15 \, {\left(b^{4} c^{2} d^{2} - 2 \, a b^{3} c d^{3} + a^{2} b^{2} d^{4}\right)}}{d^{5} {\left| b \right|}}\right)}}{4 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{15 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{4 \, \sqrt{b d} d^{3} {\left| b \right|}}"," ",0,"1/4*sqrt(b*x + a)*((b*x + a)*(2*(b*x + a)*b^2/(d*abs(b)) - 5*(b^3*c*d^3 - a*b^2*d^4)/(d^5*abs(b))) - 15*(b^4*c^2*d^2 - 2*a*b^3*c*d^3 + a^2*b^2*d^4)/(d^5*abs(b)))/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) - 15/4*(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d^3*abs(b))","A",0
1504,1,137,0,1.272951," ","integrate((b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{b x + a} {\left(\frac{{\left(b x + a\right)} b^{2}}{d {\left| b \right|}} + \frac{3 \, {\left(b^{3} c d - a b^{2} d^{2}\right)}}{d^{3} {\left| b \right|}}\right)}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} + \frac{3 \, {\left(b^{3} c - a b^{2} d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d^{2} {\left| b \right|}}"," ",0,"sqrt(b*x + a)*((b*x + a)*b^2/(d*abs(b)) + 3*(b^3*c*d - a*b^2*d^2)/(d^3*abs(b)))/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) + 3*(b^3*c - a*b^2*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d^2*abs(b))","A",0
1505,1,96,0,1.222843," ","integrate((b*x+a)^(1/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, b^{2} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d {\left| b \right|}} - \frac{2 \, \sqrt{b x + a} b^{2}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} d {\left| b \right|}}"," ",0,"-2*b^2*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d*abs(b)) - 2*sqrt(b*x + a)*b^2/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*d*abs(b))","A",0
1506,1,47,0,1.038018," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} b^{2}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(b c {\left| b \right|} - a d {\left| b \right|}\right)}}"," ",0,"2*sqrt(b*x + a)*b^2/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(b*c*abs(b) - a*d*abs(b)))","A",0
1507,1,142,0,1.222252," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} b^{2} d}{{\left(b^{2} c^{2} {\left| b \right|} - 2 \, a b c d {\left| b \right|} + a^{2} d^{2} {\left| b \right|}\right)} \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{4 \, \sqrt{b d} b^{2}}{{\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)} {\left(b c {\left| b \right|} - a d {\left| b \right|}\right)}}"," ",0,"-2*sqrt(b*x + a)*b^2*d/((b^2*c^2*abs(b) - 2*a*b*c*d*abs(b) + a^2*d^2*abs(b))*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) - 4*sqrt(b*d)*b^2/((b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)*(b*c*abs(b) - a*d*abs(b)))","B",0
1508,1,368,0,1.544429," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} b^{2} d^{2}}{{\left(b^{3} c^{3} {\left| b \right|} - 3 \, a b^{2} c^{2} d {\left| b \right|} + 3 \, a^{2} b c d^{2} {\left| b \right|} - a^{3} d^{3} {\left| b \right|}\right)} \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} + \frac{4 \, {\left(5 \, \sqrt{b d} b^{6} c^{2} d - 10 \, \sqrt{b d} a b^{5} c d^{2} + 5 \, \sqrt{b d} a^{2} b^{4} d^{3} - 12 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{4} c d + 12 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{3} d^{2} + 3 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{2} d\right)}}{3 \, {\left(b^{2} c^{2} {\left| b \right|} - 2 \, a b c d {\left| b \right|} + a^{2} d^{2} {\left| b \right|}\right)} {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{3}}"," ",0,"2*sqrt(b*x + a)*b^2*d^2/((b^3*c^3*abs(b) - 3*a*b^2*c^2*d*abs(b) + 3*a^2*b*c*d^2*abs(b) - a^3*d^3*abs(b))*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) + 4/3*(5*sqrt(b*d)*b^6*c^2*d - 10*sqrt(b*d)*a*b^5*c*d^2 + 5*sqrt(b*d)*a^2*b^4*d^3 - 12*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^4*c*d + 12*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^3*d^2 + 3*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^2*d)/((b^2*c^2*abs(b) - 2*a*b*c*d*abs(b) + a^2*d^2*abs(b))*(b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^3)","B",0
1509,1,830,0,2.459497," ","integrate(1/(b*x+a)^(7/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} b^{2} d^{3}}{{\left(b^{4} c^{4} {\left| b \right|} - 4 \, a b^{3} c^{3} d {\left| b \right|} + 6 \, a^{2} b^{2} c^{2} d^{2} {\left| b \right|} - 4 \, a^{3} b c d^{3} {\left| b \right|} + a^{4} d^{4} {\left| b \right|}\right)} \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{4 \, {\left(11 \, \sqrt{b d} b^{10} c^{4} d^{2} - 44 \, \sqrt{b d} a b^{9} c^{3} d^{3} + 66 \, \sqrt{b d} a^{2} b^{8} c^{2} d^{4} - 44 \, \sqrt{b d} a^{3} b^{7} c d^{5} + 11 \, \sqrt{b d} a^{4} b^{6} d^{6} - 50 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{8} c^{3} d^{2} + 150 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{7} c^{2} d^{3} - 150 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{6} c d^{4} + 50 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{5} d^{5} + 80 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{6} c^{2} d^{2} - 160 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{5} c d^{3} + 80 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{4} d^{4} - 30 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{4} c d^{2} + 30 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{3} d^{3} + 5 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{2} d^{2}\right)}}{5 \, {\left(b^{3} c^{3} {\left| b \right|} - 3 \, a b^{2} c^{2} d {\left| b \right|} + 3 \, a^{2} b c d^{2} {\left| b \right|} - a^{3} d^{3} {\left| b \right|}\right)} {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{5}}"," ",0,"-2*sqrt(b*x + a)*b^2*d^3/((b^4*c^4*abs(b) - 4*a*b^3*c^3*d*abs(b) + 6*a^2*b^2*c^2*d^2*abs(b) - 4*a^3*b*c*d^3*abs(b) + a^4*d^4*abs(b))*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) - 4/5*(11*sqrt(b*d)*b^10*c^4*d^2 - 44*sqrt(b*d)*a*b^9*c^3*d^3 + 66*sqrt(b*d)*a^2*b^8*c^2*d^4 - 44*sqrt(b*d)*a^3*b^7*c*d^5 + 11*sqrt(b*d)*a^4*b^6*d^6 - 50*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^8*c^3*d^2 + 150*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^7*c^2*d^3 - 150*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^6*c*d^4 + 50*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^5*d^5 + 80*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^6*c^2*d^2 - 160*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^5*c*d^3 + 80*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^4*d^4 - 30*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^4*c*d^2 + 30*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^3*d^3 + 5*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^2*d^2)/((b^3*c^3*abs(b) - 3*a*b^2*c^2*d*abs(b) + 3*a^2*b*c*d^2*abs(b) - a^3*d^3*abs(b))*(b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^5)","B",0
1510,1,1518,0,4.771178," ","integrate(1/(b*x+a)^(9/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} b^{2} d^{4}}{{\left(b^{5} c^{5} {\left| b \right|} - 5 \, a b^{4} c^{4} d {\left| b \right|} + 10 \, a^{2} b^{3} c^{3} d^{2} {\left| b \right|} - 10 \, a^{3} b^{2} c^{2} d^{3} {\left| b \right|} + 5 \, a^{4} b c d^{4} {\left| b \right|} - a^{5} d^{5} {\left| b \right|}\right)} \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} + \frac{4 \, {\left(93 \, \sqrt{b d} b^{14} c^{6} d^{3} - 558 \, \sqrt{b d} a b^{13} c^{5} d^{4} + 1395 \, \sqrt{b d} a^{2} b^{12} c^{4} d^{5} - 1860 \, \sqrt{b d} a^{3} b^{11} c^{3} d^{6} + 1395 \, \sqrt{b d} a^{4} b^{10} c^{2} d^{7} - 558 \, \sqrt{b d} a^{5} b^{9} c d^{8} + 93 \, \sqrt{b d} a^{6} b^{8} d^{9} - 616 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{12} c^{5} d^{3} + 3080 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{11} c^{4} d^{4} - 6160 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{10} c^{3} d^{5} + 6160 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{9} c^{2} d^{6} - 3080 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{4} b^{8} c d^{7} + 616 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{5} b^{7} d^{8} + 1673 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{10} c^{4} d^{3} - 6692 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{9} c^{3} d^{4} + 10038 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{8} c^{2} d^{5} - 6692 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{7} c d^{6} + 1673 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{4} b^{6} d^{7} - 2240 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{8} c^{3} d^{3} + 6720 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{7} c^{2} d^{4} - 6720 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{2} b^{6} c d^{5} + 2240 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{3} b^{5} d^{6} + 1015 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{6} c^{2} d^{3} - 2030 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a b^{5} c d^{4} + 1015 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{2} b^{4} d^{5} - 280 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} b^{4} c d^{3} + 280 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a b^{3} d^{4} + 35 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} b^{2} d^{3}\right)}}{35 \, {\left(b^{4} c^{4} {\left| b \right|} - 4 \, a b^{3} c^{3} d {\left| b \right|} + 6 \, a^{2} b^{2} c^{2} d^{2} {\left| b \right|} - 4 \, a^{3} b c d^{3} {\left| b \right|} + a^{4} d^{4} {\left| b \right|}\right)} {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{7}}"," ",0,"2*sqrt(b*x + a)*b^2*d^4/((b^5*c^5*abs(b) - 5*a*b^4*c^4*d*abs(b) + 10*a^2*b^3*c^3*d^2*abs(b) - 10*a^3*b^2*c^2*d^3*abs(b) + 5*a^4*b*c*d^4*abs(b) - a^5*d^5*abs(b))*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) + 4/35*(93*sqrt(b*d)*b^14*c^6*d^3 - 558*sqrt(b*d)*a*b^13*c^5*d^4 + 1395*sqrt(b*d)*a^2*b^12*c^4*d^5 - 1860*sqrt(b*d)*a^3*b^11*c^3*d^6 + 1395*sqrt(b*d)*a^4*b^10*c^2*d^7 - 558*sqrt(b*d)*a^5*b^9*c*d^8 + 93*sqrt(b*d)*a^6*b^8*d^9 - 616*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^12*c^5*d^3 + 3080*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^11*c^4*d^4 - 6160*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^10*c^3*d^5 + 6160*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^9*c^2*d^6 - 3080*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^8*c*d^7 + 616*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^5*b^7*d^8 + 1673*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^10*c^4*d^3 - 6692*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^9*c^3*d^4 + 10038*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^8*c^2*d^5 - 6692*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^7*c*d^6 + 1673*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^4*b^6*d^7 - 2240*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^8*c^3*d^3 + 6720*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^7*c^2*d^4 - 6720*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b^6*c*d^5 + 2240*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^3*b^5*d^6 + 1015*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^6*c^2*d^3 - 2030*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b^5*c*d^4 + 1015*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^2*b^4*d^5 - 280*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^4*c*d^3 + 280*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a*b^3*d^4 + 35*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^2*d^3)/((b^4*c^4*abs(b) - 4*a*b^3*c^3*d*abs(b) + 6*a^2*b^2*c^2*d^2*abs(b) - 4*a^3*b*c*d^3*abs(b) + a^4*d^4*abs(b))*(b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^7)","B",0
1511,1,2438,0,8.707953," ","integrate(1/(b*x+a)^(11/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} b^{2} d^{5}}{{\left(b^{6} c^{6} {\left| b \right|} - 6 \, a b^{5} c^{5} d {\left| b \right|} + 15 \, a^{2} b^{4} c^{4} d^{2} {\left| b \right|} - 20 \, a^{3} b^{3} c^{3} d^{3} {\left| b \right|} + 15 \, a^{4} b^{2} c^{2} d^{4} {\left| b \right|} - 6 \, a^{5} b c d^{5} {\left| b \right|} + a^{6} d^{6} {\left| b \right|}\right)} \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{4 \, {\left(193 \, \sqrt{b d} b^{18} c^{8} d^{4} - 1544 \, \sqrt{b d} a b^{17} c^{7} d^{5} + 5404 \, \sqrt{b d} a^{2} b^{16} c^{6} d^{6} - 10808 \, \sqrt{b d} a^{3} b^{15} c^{5} d^{7} + 13510 \, \sqrt{b d} a^{4} b^{14} c^{4} d^{8} - 10808 \, \sqrt{b d} a^{5} b^{13} c^{3} d^{9} + 5404 \, \sqrt{b d} a^{6} b^{12} c^{2} d^{10} - 1544 \, \sqrt{b d} a^{7} b^{11} c d^{11} + 193 \, \sqrt{b d} a^{8} b^{10} d^{12} - 1674 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{16} c^{7} d^{4} + 11718 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{15} c^{6} d^{5} - 35154 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{14} c^{5} d^{6} + 58590 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{13} c^{4} d^{7} - 58590 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{4} b^{12} c^{3} d^{8} + 35154 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{5} b^{11} c^{2} d^{9} - 11718 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{6} b^{10} c d^{10} + 1674 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{7} b^{9} d^{11} + 6318 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{14} c^{6} d^{4} - 37908 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{13} c^{5} d^{5} + 94770 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{12} c^{4} d^{6} - 126360 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{11} c^{3} d^{7} + 94770 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{4} b^{10} c^{2} d^{8} - 37908 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{5} b^{9} c d^{9} + 6318 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{6} b^{8} d^{10} - 13314 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{12} c^{5} d^{4} + 66570 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{11} c^{4} d^{5} - 133140 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{2} b^{10} c^{3} d^{6} + 133140 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{3} b^{9} c^{2} d^{7} - 66570 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{4} b^{8} c d^{8} + 13314 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{5} b^{7} d^{9} + 16128 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{10} c^{4} d^{4} - 64512 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a b^{9} c^{3} d^{5} + 96768 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{2} b^{8} c^{2} d^{6} - 64512 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{3} b^{7} c d^{7} + 16128 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{4} b^{6} d^{8} - 8190 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} b^{8} c^{3} d^{4} + 24570 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a b^{7} c^{2} d^{5} - 24570 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a^{2} b^{6} c d^{6} + 8190 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a^{3} b^{5} d^{7} + 2898 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} b^{6} c^{2} d^{4} - 5796 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} a b^{5} c d^{5} + 2898 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} a^{2} b^{4} d^{6} - 630 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{14} b^{4} c d^{4} + 630 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{14} a b^{3} d^{5} + 63 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{16} b^{2} d^{4}\right)}}{63 \, {\left(b^{5} c^{5} {\left| b \right|} - 5 \, a b^{4} c^{4} d {\left| b \right|} + 10 \, a^{2} b^{3} c^{3} d^{2} {\left| b \right|} - 10 \, a^{3} b^{2} c^{2} d^{3} {\left| b \right|} + 5 \, a^{4} b c d^{4} {\left| b \right|} - a^{5} d^{5} {\left| b \right|}\right)} {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{9}}"," ",0,"-2*sqrt(b*x + a)*b^2*d^5/((b^6*c^6*abs(b) - 6*a*b^5*c^5*d*abs(b) + 15*a^2*b^4*c^4*d^2*abs(b) - 20*a^3*b^3*c^3*d^3*abs(b) + 15*a^4*b^2*c^2*d^4*abs(b) - 6*a^5*b*c*d^5*abs(b) + a^6*d^6*abs(b))*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) - 4/63*(193*sqrt(b*d)*b^18*c^8*d^4 - 1544*sqrt(b*d)*a*b^17*c^7*d^5 + 5404*sqrt(b*d)*a^2*b^16*c^6*d^6 - 10808*sqrt(b*d)*a^3*b^15*c^5*d^7 + 13510*sqrt(b*d)*a^4*b^14*c^4*d^8 - 10808*sqrt(b*d)*a^5*b^13*c^3*d^9 + 5404*sqrt(b*d)*a^6*b^12*c^2*d^10 - 1544*sqrt(b*d)*a^7*b^11*c*d^11 + 193*sqrt(b*d)*a^8*b^10*d^12 - 1674*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^16*c^7*d^4 + 11718*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^15*c^6*d^5 - 35154*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^14*c^5*d^6 + 58590*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^13*c^4*d^7 - 58590*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^12*c^3*d^8 + 35154*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^5*b^11*c^2*d^9 - 11718*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^6*b^10*c*d^10 + 1674*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^7*b^9*d^11 + 6318*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^14*c^6*d^4 - 37908*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^13*c^5*d^5 + 94770*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^12*c^4*d^6 - 126360*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^11*c^3*d^7 + 94770*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^4*b^10*c^2*d^8 - 37908*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^5*b^9*c*d^9 + 6318*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^6*b^8*d^10 - 13314*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^12*c^5*d^4 + 66570*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^11*c^4*d^5 - 133140*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b^10*c^3*d^6 + 133140*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^3*b^9*c^2*d^7 - 66570*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^4*b^8*c*d^8 + 13314*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^5*b^7*d^9 + 16128*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^10*c^4*d^4 - 64512*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b^9*c^3*d^5 + 96768*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^2*b^8*c^2*d^6 - 64512*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^3*b^7*c*d^7 + 16128*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^4*b^6*d^8 - 8190*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^8*c^3*d^4 + 24570*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a*b^7*c^2*d^5 - 24570*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^2*b^6*c*d^6 + 8190*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^3*b^5*d^7 + 2898*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^6*c^2*d^4 - 5796*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a*b^5*c*d^5 + 2898*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^2*b^4*d^6 - 630*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^4*c*d^4 + 630*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a*b^3*d^5 + 63*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*b^2*d^4)/((b^5*c^5*abs(b) - 5*a*b^4*c^4*d*abs(b) + 10*a^2*b^3*c^3*d^2*abs(b) - 10*a^3*b^2*c^2*d^3*abs(b) + 5*a^4*b*c*d^4*abs(b) - a^5*d^5*abs(b))*(b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^9)","B",0
1512,1,500,0,2.417637," ","integrate((b*x+a)^(9/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{{\left({\left({\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b^{6} c d^{8} - a b^{5} d^{9}\right)} {\left(b x + a\right)}}{b^{2} c d^{9} {\left| b \right|} - a b d^{10} {\left| b \right|}} - \frac{9 \, {\left(b^{7} c^{2} d^{7} - 2 \, a b^{6} c d^{8} + a^{2} b^{5} d^{9}\right)}}{b^{2} c d^{9} {\left| b \right|} - a b d^{10} {\left| b \right|}}\right)} + \frac{63 \, {\left(b^{8} c^{3} d^{6} - 3 \, a b^{7} c^{2} d^{7} + 3 \, a^{2} b^{6} c d^{8} - a^{3} b^{5} d^{9}\right)}}{b^{2} c d^{9} {\left| b \right|} - a b d^{10} {\left| b \right|}}\right)} {\left(b x + a\right)} + \frac{420 \, {\left(b^{9} c^{4} d^{5} - 4 \, a b^{8} c^{3} d^{6} + 6 \, a^{2} b^{7} c^{2} d^{7} - 4 \, a^{3} b^{6} c d^{8} + a^{4} b^{5} d^{9}\right)}}{b^{2} c d^{9} {\left| b \right|} - a b d^{10} {\left| b \right|}}\right)} {\left(b x + a\right)} + \frac{315 \, {\left(b^{10} c^{5} d^{4} - 5 \, a b^{9} c^{4} d^{5} + 10 \, a^{2} b^{8} c^{3} d^{6} - 10 \, a^{3} b^{7} c^{2} d^{7} + 5 \, a^{4} b^{6} c d^{8} - a^{5} b^{5} d^{9}\right)}}{b^{2} c d^{9} {\left| b \right|} - a b d^{10} {\left| b \right|}}\right)} \sqrt{b x + a}}{24 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} + \frac{105 \, {\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)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{8 \, \sqrt{b d} d^{5} {\left| b \right|}}"," ",0,"1/24*(((2*(b*x + a)*(4*(b^6*c*d^8 - a*b^5*d^9)*(b*x + a)/(b^2*c*d^9*abs(b) - a*b*d^10*abs(b)) - 9*(b^7*c^2*d^7 - 2*a*b^6*c*d^8 + a^2*b^5*d^9)/(b^2*c*d^9*abs(b) - a*b*d^10*abs(b))) + 63*(b^8*c^3*d^6 - 3*a*b^7*c^2*d^7 + 3*a^2*b^6*c*d^8 - a^3*b^5*d^9)/(b^2*c*d^9*abs(b) - a*b*d^10*abs(b)))*(b*x + a) + 420*(b^9*c^4*d^5 - 4*a*b^8*c^3*d^6 + 6*a^2*b^7*c^2*d^7 - 4*a^3*b^6*c*d^8 + a^4*b^5*d^9)/(b^2*c*d^9*abs(b) - a*b*d^10*abs(b)))*(b*x + a) + 315*(b^10*c^5*d^4 - 5*a*b^9*c^4*d^5 + 10*a^2*b^8*c^3*d^6 - 10*a^3*b^7*c^2*d^7 + 5*a^4*b^6*c*d^8 - a^5*b^5*d^9)/(b^2*c*d^9*abs(b) - a*b*d^10*abs(b)))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + 105/8*(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)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d^5*abs(b))","B",0
1513,1,380,0,2.140734," ","integrate((b*x+a)^(7/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{{\left({\left(3 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(b^{6} c d^{6} - a b^{5} d^{7}\right)} {\left(b x + a\right)}}{b^{2} c d^{7} {\left| b \right|} - a b d^{8} {\left| b \right|}} - \frac{7 \, {\left(b^{7} c^{2} d^{5} - 2 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)}}{b^{2} c d^{7} {\left| b \right|} - a b d^{8} {\left| b \right|}}\right)} - \frac{140 \, {\left(b^{8} c^{3} d^{4} - 3 \, a b^{7} c^{2} d^{5} + 3 \, a^{2} b^{6} c d^{6} - a^{3} b^{5} d^{7}\right)}}{b^{2} c d^{7} {\left| b \right|} - a b d^{8} {\left| b \right|}}\right)} {\left(b x + a\right)} - \frac{105 \, {\left(b^{9} c^{4} d^{3} - 4 \, a b^{8} c^{3} d^{4} + 6 \, a^{2} b^{7} c^{2} d^{5} - 4 \, a^{3} b^{6} c d^{6} + a^{4} b^{5} d^{7}\right)}}{b^{2} c d^{7} {\left| b \right|} - a b d^{8} {\left| b \right|}}\right)} \sqrt{b x + a}}{12 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{35 \, {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{4 \, \sqrt{b d} d^{4} {\left| b \right|}}"," ",0,"1/12*((3*(b*x + a)*(2*(b^6*c*d^6 - a*b^5*d^7)*(b*x + a)/(b^2*c*d^7*abs(b) - a*b*d^8*abs(b)) - 7*(b^7*c^2*d^5 - 2*a*b^6*c*d^6 + a^2*b^5*d^7)/(b^2*c*d^7*abs(b) - a*b*d^8*abs(b))) - 140*(b^8*c^3*d^4 - 3*a*b^7*c^2*d^5 + 3*a^2*b^6*c*d^6 - a^3*b^5*d^7)/(b^2*c*d^7*abs(b) - a*b*d^8*abs(b)))*(b*x + a) - 105*(b^9*c^4*d^3 - 4*a*b^8*c^3*d^4 + 6*a^2*b^7*c^2*d^5 - 4*a^3*b^6*c*d^6 + a^4*b^5*d^7)/(b^2*c*d^7*abs(b) - a*b*d^8*abs(b)))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 35/4*(b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d^4*abs(b))","B",0
1514,1,276,0,1.972010," ","integrate((b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{{\left({\left(b x + a\right)} {\left(\frac{3 \, {\left(b^{6} c d^{4} - a b^{5} d^{5}\right)} {\left(b x + a\right)}}{b^{2} c d^{5} {\left| b \right|} - a b d^{6} {\left| b \right|}} + \frac{20 \, {\left(b^{7} c^{2} d^{3} - 2 \, a b^{6} c d^{4} + a^{2} b^{5} d^{5}\right)}}{b^{2} c d^{5} {\left| b \right|} - a b d^{6} {\left| b \right|}}\right)} + \frac{15 \, {\left(b^{8} c^{3} d^{2} - 3 \, a b^{7} c^{2} d^{3} + 3 \, a^{2} b^{6} c d^{4} - a^{3} b^{5} d^{5}\right)}}{b^{2} c d^{5} {\left| b \right|} - a b d^{6} {\left| b \right|}}\right)} \sqrt{b x + a}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} + \frac{5 \, {\left(b^{4} c - a b^{3} d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d^{3} {\left| b \right|}}"," ",0,"1/3*((b*x + a)*(3*(b^6*c*d^4 - a*b^5*d^5)*(b*x + a)/(b^2*c*d^5*abs(b) - a*b*d^6*abs(b)) + 20*(b^7*c^2*d^3 - 2*a*b^6*c*d^4 + a^2*b^5*d^5)/(b^2*c*d^5*abs(b) - a*b*d^6*abs(b))) + 15*(b^8*c^3*d^2 - 3*a*b^7*c^2*d^3 + 3*a^2*b^6*c*d^4 - a^3*b^5*d^5)/(b^2*c*d^5*abs(b) - a*b*d^6*abs(b)))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + 5*(b^4*c - a*b^3*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d^3*abs(b))","B",0
1515,1,181,0,1.434157," ","integrate((b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, b^{3} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d^{2} {\left| b \right|}} - \frac{2 \, \sqrt{b x + a} {\left(\frac{4 \, {\left(b^{5} c d^{2} - a b^{4} d^{3}\right)} {\left(b x + a\right)}}{b c d^{3} {\left| b \right|} - a d^{4} {\left| b \right|}} + \frac{3 \, {\left(b^{6} c^{2} d - 2 \, a b^{5} c d^{2} + a^{2} b^{4} d^{3}\right)}}{b c d^{3} {\left| b \right|} - a d^{4} {\left| b \right|}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}}"," ",0,"-2*b^3*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d^2*abs(b)) - 2/3*sqrt(b*x + a)*(4*(b^5*c*d^2 - a*b^4*d^3)*(b*x + a)/(b*c*d^3*abs(b) - a*d^4*abs(b)) + 3*(b^6*c^2*d - 2*a*b^5*c*d^2 + a^2*b^4*d^3)/(b*c*d^3*abs(b) - a*d^4*abs(b)))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2)","B",0
1516,1,51,0,1.146557," ","integrate((b*x+a)^(1/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{4} d}{3 \, {\left(b c d {\left| b \right|} - a d^{2} {\left| b \right|}\right)} {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}}"," ",0,"2/3*(b*x + a)^(3/2)*b^4*d/((b*c*d*abs(b) - a*d^2*abs(b))*(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2))","A",0
1517,1,126,0,1.019097," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{2 \, {\left(b x + a\right)} b^{4} d^{2}}{b^{2} c^{2} d {\left| b \right|} - 2 \, a b c d^{2} {\left| b \right|} + a^{2} d^{3} {\left| b \right|}} + \frac{3 \, {\left(b^{5} c d - a b^{4} d^{2}\right)}}{b^{2} c^{2} d {\left| b \right|} - 2 \, a b c d^{2} {\left| b \right|} + a^{2} d^{3} {\left| b \right|}}\right)} \sqrt{b x + a}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}}"," ",0,"2/3*(2*(b*x + a)*b^4*d^2/(b^2*c^2*d*abs(b) - 2*a*b*c*d^2*abs(b) + a^2*d^3*abs(b)) + 3*(b^5*c*d - a*b^4*d^2)/(b^2*c^2*d*abs(b) - 2*a*b*c*d^2*abs(b) + a^2*d^3*abs(b)))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2)","B",0
1518,1,373,0,1.480478," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{4 \, \sqrt{b d} b^{3}}{{\left(b^{2} c^{2} {\left| b \right|} - 2 \, a b c d {\left| b \right|} + a^{2} d^{2} {\left| b \right|}\right)} {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}} - \frac{2 \, \sqrt{b x + a} {\left(\frac{5 \, {\left(b^{6} c^{2} d^{3} {\left| b \right|} - 2 \, a b^{5} c d^{4} {\left| b \right|} + a^{2} b^{4} d^{5} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{7} c^{5} d - 5 \, a b^{6} c^{4} d^{2} + 10 \, a^{2} b^{5} c^{3} d^{3} - 10 \, a^{3} b^{4} c^{2} d^{4} + 5 \, a^{4} b^{3} c d^{5} - a^{5} b^{2} d^{6}} + \frac{6 \, {\left(b^{7} c^{3} d^{2} {\left| b \right|} - 3 \, a b^{6} c^{2} d^{3} {\left| b \right|} + 3 \, a^{2} b^{5} c d^{4} {\left| b \right|} - a^{3} b^{4} d^{5} {\left| b \right|}\right)}}{b^{7} c^{5} d - 5 \, a b^{6} c^{4} d^{2} + 10 \, a^{2} b^{5} c^{3} d^{3} - 10 \, a^{3} b^{4} c^{2} d^{4} + 5 \, a^{4} b^{3} c d^{5} - a^{5} b^{2} d^{6}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}}"," ",0,"-4*sqrt(b*d)*b^3/((b^2*c^2*abs(b) - 2*a*b*c*d*abs(b) + a^2*d^2*abs(b))*(b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)) - 2/3*sqrt(b*x + a)*(5*(b^6*c^2*d^3*abs(b) - 2*a*b^5*c*d^4*abs(b) + a^2*b^4*d^5*abs(b))*(b*x + a)/(b^7*c^5*d - 5*a*b^6*c^4*d^2 + 10*a^2*b^5*c^3*d^3 - 10*a^3*b^4*c^2*d^4 + 5*a^4*b^3*c*d^5 - a^5*b^2*d^6) + 6*(b^7*c^3*d^2*abs(b) - 3*a*b^6*c^2*d^3*abs(b) + 3*a^2*b^5*c*d^4*abs(b) - a^3*b^4*d^5*abs(b))/(b^7*c^5*d - 5*a*b^6*c^4*d^2 + 10*a^2*b^5*c^3*d^3 - 10*a^3*b^4*c^2*d^4 + 5*a^4*b^3*c*d^5 - a^5*b^2*d^6))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2)","B",0
1519,1,670,0,2.063437," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{8 \, {\left(b^{7} c^{3} d^{4} {\left| b \right|} - 3 \, a b^{6} c^{2} d^{5} {\left| b \right|} + 3 \, a^{2} b^{5} c d^{6} {\left| b \right|} - a^{3} b^{4} d^{7} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{9} c^{7} d - 7 \, a b^{8} c^{6} d^{2} + 21 \, a^{2} b^{7} c^{5} d^{3} - 35 \, a^{3} b^{6} c^{4} d^{4} + 35 \, a^{4} b^{5} c^{3} d^{5} - 21 \, a^{5} b^{4} c^{2} d^{6} + 7 \, a^{6} b^{3} c d^{7} - a^{7} b^{2} d^{8}} + \frac{9 \, {\left(b^{8} c^{4} d^{3} {\left| b \right|} - 4 \, a b^{7} c^{3} d^{4} {\left| b \right|} + 6 \, a^{2} b^{6} c^{2} d^{5} {\left| b \right|} - 4 \, a^{3} b^{5} c d^{6} {\left| b \right|} + a^{4} b^{4} d^{7} {\left| b \right|}\right)}}{b^{9} c^{7} d - 7 \, a b^{8} c^{6} d^{2} + 21 \, a^{2} b^{7} c^{5} d^{3} - 35 \, a^{3} b^{6} c^{4} d^{4} + 35 \, a^{4} b^{5} c^{3} d^{5} - 21 \, a^{5} b^{4} c^{2} d^{6} + 7 \, a^{6} b^{3} c d^{7} - a^{7} b^{2} d^{8}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} + \frac{8 \, {\left(4 \, \sqrt{b d} b^{7} c^{2} d - 8 \, \sqrt{b d} a b^{6} c d^{2} + 4 \, \sqrt{b d} a^{2} b^{5} d^{3} - 9 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{5} c d + 9 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{4} d^{2} + 3 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{3} d\right)}}{3 \, {\left(b^{3} c^{3} {\left| b \right|} - 3 \, a b^{2} c^{2} d {\left| b \right|} + 3 \, a^{2} b c d^{2} {\left| b \right|} - a^{3} d^{3} {\left| b \right|}\right)} {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{3}}"," ",0,"2/3*sqrt(b*x + a)*(8*(b^7*c^3*d^4*abs(b) - 3*a*b^6*c^2*d^5*abs(b) + 3*a^2*b^5*c*d^6*abs(b) - a^3*b^4*d^7*abs(b))*(b*x + a)/(b^9*c^7*d - 7*a*b^8*c^6*d^2 + 21*a^2*b^7*c^5*d^3 - 35*a^3*b^6*c^4*d^4 + 35*a^4*b^5*c^3*d^5 - 21*a^5*b^4*c^2*d^6 + 7*a^6*b^3*c*d^7 - a^7*b^2*d^8) + 9*(b^8*c^4*d^3*abs(b) - 4*a*b^7*c^3*d^4*abs(b) + 6*a^2*b^6*c^2*d^5*abs(b) - 4*a^3*b^5*c*d^6*abs(b) + a^4*b^4*d^7*abs(b))/(b^9*c^7*d - 7*a*b^8*c^6*d^2 + 21*a^2*b^7*c^5*d^3 - 35*a^3*b^6*c^4*d^4 + 35*a^4*b^5*c^3*d^5 - 21*a^5*b^4*c^2*d^6 + 7*a^6*b^3*c*d^7 - a^7*b^2*d^8))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + 8/3*(4*sqrt(b*d)*b^7*c^2*d - 8*sqrt(b*d)*a*b^6*c*d^2 + 4*sqrt(b*d)*a^2*b^5*d^3 - 9*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^5*c*d + 9*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^4*d^2 + 3*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^3*d)/((b^3*c^3*abs(b) - 3*a*b^2*c^2*d*abs(b) + 3*a^2*b*c*d^2*abs(b) - a^3*d^3*abs(b))*(b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^3)","B",0
1520,1,1203,0,3.917593," ","integrate(1/(b*x+a)^(7/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{11 \, {\left(b^{8} c^{4} d^{5} {\left| b \right|} - 4 \, a b^{7} c^{3} d^{6} {\left| b \right|} + 6 \, a^{2} b^{6} c^{2} d^{7} {\left| b \right|} - 4 \, a^{3} b^{5} c d^{8} {\left| b \right|} + a^{4} b^{4} d^{9} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{11} c^{9} d - 9 \, a b^{10} c^{8} d^{2} + 36 \, a^{2} b^{9} c^{7} d^{3} - 84 \, a^{3} b^{8} c^{6} d^{4} + 126 \, a^{4} b^{7} c^{5} d^{5} - 126 \, a^{5} b^{6} c^{4} d^{6} + 84 \, a^{6} b^{5} c^{3} d^{7} - 36 \, a^{7} b^{4} c^{2} d^{8} + 9 \, a^{8} b^{3} c d^{9} - a^{9} b^{2} d^{10}} + \frac{12 \, {\left(b^{9} c^{5} d^{4} {\left| b \right|} - 5 \, a b^{8} c^{4} d^{5} {\left| b \right|} + 10 \, a^{2} b^{7} c^{3} d^{6} {\left| b \right|} - 10 \, a^{3} b^{6} c^{2} d^{7} {\left| b \right|} + 5 \, a^{4} b^{5} c d^{8} {\left| b \right|} - a^{5} b^{4} d^{9} {\left| b \right|}\right)}}{b^{11} c^{9} d - 9 \, a b^{10} c^{8} d^{2} + 36 \, a^{2} b^{9} c^{7} d^{3} - 84 \, a^{3} b^{8} c^{6} d^{4} + 126 \, a^{4} b^{7} c^{5} d^{5} - 126 \, a^{5} b^{6} c^{4} d^{6} + 84 \, a^{6} b^{5} c^{3} d^{7} - 36 \, a^{7} b^{4} c^{2} d^{8} + 9 \, a^{8} b^{3} c d^{9} - a^{9} b^{2} d^{10}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{4 \, {\left(73 \, \sqrt{b d} b^{11} c^{4} d^{2} - 292 \, \sqrt{b d} a b^{10} c^{3} d^{3} + 438 \, \sqrt{b d} a^{2} b^{9} c^{2} d^{4} - 292 \, \sqrt{b d} a^{3} b^{8} c d^{5} + 73 \, \sqrt{b d} a^{4} b^{7} d^{6} - 320 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{9} c^{3} d^{2} + 960 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{8} c^{2} d^{3} - 960 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{7} c d^{4} + 320 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{6} d^{5} + 490 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{7} c^{2} d^{2} - 980 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{6} c d^{3} + 490 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{5} d^{4} - 240 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{5} c d^{2} + 240 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{4} d^{3} + 45 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{3} d^{2}\right)}}{15 \, {\left(b^{4} c^{4} {\left| b \right|} - 4 \, a b^{3} c^{3} d {\left| b \right|} + 6 \, a^{2} b^{2} c^{2} d^{2} {\left| b \right|} - 4 \, a^{3} b c d^{3} {\left| b \right|} + a^{4} d^{4} {\left| b \right|}\right)} {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{5}}"," ",0,"-2/3*sqrt(b*x + a)*(11*(b^8*c^4*d^5*abs(b) - 4*a*b^7*c^3*d^6*abs(b) + 6*a^2*b^6*c^2*d^7*abs(b) - 4*a^3*b^5*c*d^8*abs(b) + a^4*b^4*d^9*abs(b))*(b*x + a)/(b^11*c^9*d - 9*a*b^10*c^8*d^2 + 36*a^2*b^9*c^7*d^3 - 84*a^3*b^8*c^6*d^4 + 126*a^4*b^7*c^5*d^5 - 126*a^5*b^6*c^4*d^6 + 84*a^6*b^5*c^3*d^7 - 36*a^7*b^4*c^2*d^8 + 9*a^8*b^3*c*d^9 - a^9*b^2*d^10) + 12*(b^9*c^5*d^4*abs(b) - 5*a*b^8*c^4*d^5*abs(b) + 10*a^2*b^7*c^3*d^6*abs(b) - 10*a^3*b^6*c^2*d^7*abs(b) + 5*a^4*b^5*c*d^8*abs(b) - a^5*b^4*d^9*abs(b))/(b^11*c^9*d - 9*a*b^10*c^8*d^2 + 36*a^2*b^9*c^7*d^3 - 84*a^3*b^8*c^6*d^4 + 126*a^4*b^7*c^5*d^5 - 126*a^5*b^6*c^4*d^6 + 84*a^6*b^5*c^3*d^7 - 36*a^7*b^4*c^2*d^8 + 9*a^8*b^3*c*d^9 - a^9*b^2*d^10))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 4/15*(73*sqrt(b*d)*b^11*c^4*d^2 - 292*sqrt(b*d)*a*b^10*c^3*d^3 + 438*sqrt(b*d)*a^2*b^9*c^2*d^4 - 292*sqrt(b*d)*a^3*b^8*c*d^5 + 73*sqrt(b*d)*a^4*b^7*d^6 - 320*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^9*c^3*d^2 + 960*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^8*c^2*d^3 - 960*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^7*c*d^4 + 320*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^6*d^5 + 490*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^7*c^2*d^2 - 980*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^6*c*d^3 + 490*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^5*d^4 - 240*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^5*c*d^2 + 240*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^4*d^3 + 45*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^3*d^2)/((b^4*c^4*abs(b) - 4*a*b^3*c^3*d*abs(b) + 6*a^2*b^2*c^2*d^2*abs(b) - 4*a^3*b*c*d^3*abs(b) + a^4*d^4*abs(b))*(b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^5)","B",0
1521,1,1964,0,7.759715," ","integrate(1/(b*x+a)^(9/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{14 \, {\left(b^{9} c^{5} d^{6} {\left| b \right|} - 5 \, a b^{8} c^{4} d^{7} {\left| b \right|} + 10 \, a^{2} b^{7} c^{3} d^{8} {\left| b \right|} - 10 \, a^{3} b^{6} c^{2} d^{9} {\left| b \right|} + 5 \, a^{4} b^{5} c d^{10} {\left| b \right|} - a^{5} b^{4} d^{11} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{13} c^{11} d - 11 \, a b^{12} c^{10} d^{2} + 55 \, a^{2} b^{11} c^{9} d^{3} - 165 \, a^{3} b^{10} c^{8} d^{4} + 330 \, a^{4} b^{9} c^{7} d^{5} - 462 \, a^{5} b^{8} c^{6} d^{6} + 462 \, a^{6} b^{7} c^{5} d^{7} - 330 \, a^{7} b^{6} c^{4} d^{8} + 165 \, a^{8} b^{5} c^{3} d^{9} - 55 \, a^{9} b^{4} c^{2} d^{10} + 11 \, a^{10} b^{3} c d^{11} - a^{11} b^{2} d^{12}} + \frac{15 \, {\left(b^{10} c^{6} d^{5} {\left| b \right|} - 6 \, a b^{9} c^{5} d^{6} {\left| b \right|} + 15 \, a^{2} b^{8} c^{4} d^{7} {\left| b \right|} - 20 \, a^{3} b^{7} c^{3} d^{8} {\left| b \right|} + 15 \, a^{4} b^{6} c^{2} d^{9} {\left| b \right|} - 6 \, a^{5} b^{5} c d^{10} {\left| b \right|} + a^{6} b^{4} d^{11} {\left| b \right|}\right)}}{b^{13} c^{11} d - 11 \, a b^{12} c^{10} d^{2} + 55 \, a^{2} b^{11} c^{9} d^{3} - 165 \, a^{3} b^{10} c^{8} d^{4} + 330 \, a^{4} b^{9} c^{7} d^{5} - 462 \, a^{5} b^{8} c^{6} d^{6} + 462 \, a^{6} b^{7} c^{5} d^{7} - 330 \, a^{7} b^{6} c^{4} d^{8} + 165 \, a^{8} b^{5} c^{3} d^{9} - 55 \, a^{9} b^{4} c^{2} d^{10} + 11 \, a^{10} b^{3} c d^{11} - a^{11} b^{2} d^{12}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} + \frac{8 \, {\left(79 \, \sqrt{b d} b^{15} c^{6} d^{3} - 474 \, \sqrt{b d} a b^{14} c^{5} d^{4} + 1185 \, \sqrt{b d} a^{2} b^{13} c^{4} d^{5} - 1580 \, \sqrt{b d} a^{3} b^{12} c^{3} d^{6} + 1185 \, \sqrt{b d} a^{4} b^{11} c^{2} d^{7} - 474 \, \sqrt{b d} a^{5} b^{10} c d^{8} + 79 \, \sqrt{b d} a^{6} b^{9} d^{9} - 511 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} b^{13} c^{5} d^{3} + 2555 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a b^{12} c^{4} d^{4} - 5110 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{2} b^{11} c^{3} d^{5} + 5110 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{3} b^{10} c^{2} d^{6} - 2555 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{4} b^{9} c d^{7} + 511 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2} a^{5} b^{8} d^{8} + 1344 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} b^{11} c^{4} d^{3} - 5376 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a b^{10} c^{3} d^{4} + 8064 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{2} b^{9} c^{2} d^{5} - 5376 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{3} b^{8} c d^{6} + 1344 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4} a^{4} b^{7} d^{7} - 1750 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} b^{9} c^{3} d^{3} + 5250 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a b^{8} c^{2} d^{4} - 5250 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{2} b^{7} c d^{5} + 1750 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{6} a^{3} b^{6} d^{6} + 1015 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} b^{7} c^{2} d^{3} - 2030 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a b^{6} c d^{4} + 1015 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{8} a^{2} b^{5} d^{5} - 315 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} b^{5} c d^{3} + 315 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{10} a b^{4} d^{4} + 42 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{12} b^{3} d^{3}\right)}}{21 \, {\left(b^{5} c^{5} {\left| b \right|} - 5 \, a b^{4} c^{4} d {\left| b \right|} + 10 \, a^{2} b^{3} c^{3} d^{2} {\left| b \right|} - 10 \, a^{3} b^{2} c^{2} d^{3} {\left| b \right|} + 5 \, a^{4} b c d^{4} {\left| b \right|} - a^{5} d^{5} {\left| b \right|}\right)} {\left(b^{2} c - a b d - {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{2}\right)}^{7}}"," ",0,"2/3*sqrt(b*x + a)*(14*(b^9*c^5*d^6*abs(b) - 5*a*b^8*c^4*d^7*abs(b) + 10*a^2*b^7*c^3*d^8*abs(b) - 10*a^3*b^6*c^2*d^9*abs(b) + 5*a^4*b^5*c*d^10*abs(b) - a^5*b^4*d^11*abs(b))*(b*x + a)/(b^13*c^11*d - 11*a*b^12*c^10*d^2 + 55*a^2*b^11*c^9*d^3 - 165*a^3*b^10*c^8*d^4 + 330*a^4*b^9*c^7*d^5 - 462*a^5*b^8*c^6*d^6 + 462*a^6*b^7*c^5*d^7 - 330*a^7*b^6*c^4*d^8 + 165*a^8*b^5*c^3*d^9 - 55*a^9*b^4*c^2*d^10 + 11*a^10*b^3*c*d^11 - a^11*b^2*d^12) + 15*(b^10*c^6*d^5*abs(b) - 6*a*b^9*c^5*d^6*abs(b) + 15*a^2*b^8*c^4*d^7*abs(b) - 20*a^3*b^7*c^3*d^8*abs(b) + 15*a^4*b^6*c^2*d^9*abs(b) - 6*a^5*b^5*c*d^10*abs(b) + a^6*b^4*d^11*abs(b))/(b^13*c^11*d - 11*a*b^12*c^10*d^2 + 55*a^2*b^11*c^9*d^3 - 165*a^3*b^10*c^8*d^4 + 330*a^4*b^9*c^7*d^5 - 462*a^5*b^8*c^6*d^6 + 462*a^6*b^7*c^5*d^7 - 330*a^7*b^6*c^4*d^8 + 165*a^8*b^5*c^3*d^9 - 55*a^9*b^4*c^2*d^10 + 11*a^10*b^3*c*d^11 - a^11*b^2*d^12))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + 8/21*(79*sqrt(b*d)*b^15*c^6*d^3 - 474*sqrt(b*d)*a*b^14*c^5*d^4 + 1185*sqrt(b*d)*a^2*b^13*c^4*d^5 - 1580*sqrt(b*d)*a^3*b^12*c^3*d^6 + 1185*sqrt(b*d)*a^4*b^11*c^2*d^7 - 474*sqrt(b*d)*a^5*b^10*c*d^8 + 79*sqrt(b*d)*a^6*b^9*d^9 - 511*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^13*c^5*d^3 + 2555*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^12*c^4*d^4 - 5110*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^2*b^11*c^3*d^5 + 5110*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^10*c^2*d^6 - 2555*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^9*c*d^7 + 511*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^5*b^8*d^8 + 1344*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^11*c^4*d^3 - 5376*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^10*c^3*d^4 + 8064*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^9*c^2*d^5 - 5376*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^8*c*d^6 + 1344*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^4*b^7*d^7 - 1750*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^9*c^3*d^3 + 5250*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^8*c^2*d^4 - 5250*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b^7*c*d^5 + 1750*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^3*b^6*d^6 + 1015*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^7*c^2*d^3 - 2030*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b^6*c*d^4 + 1015*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^2*b^5*d^5 - 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^5*c*d^3 + 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a*b^4*d^4 + 42*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^3*d^3)/((b^5*c^5*abs(b) - 5*a*b^4*c^4*d*abs(b) + 10*a^2*b^3*c^3*d^2*abs(b) - 10*a^3*b^2*c^2*d^3*abs(b) + 5*a^4*b*c*d^4*abs(b) - a^5*d^5*abs(b))*(b^2*c - a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)^7)","B",0
1522,1,24,0,1.017932," ","integrate(1/(b*x+a)^(1/2)/(b*x+a+4)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + a + 4} - \sqrt{b x + a}\right)}{b}"," ",0,"-2*log(sqrt(b*x + a + 4) - sqrt(b*x + a))/b","A",0
1523,1,23,0,1.054887," ","integrate(1/(b*x+2)^(1/2)/(b*x+6)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 6} - \sqrt{b x + 2}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 6) - sqrt(b*x + 2))/b","A",0
1524,1,23,0,0.964564," ","integrate(1/(b*x+1)^(1/2)/(b*x+5)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 5} - \sqrt{b x + 1}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 5) - sqrt(b*x + 1))/b","A",0
1525,1,21,0,0.936162," ","integrate(1/(b*x)^(1/2)/(b*x+4)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 4} - \sqrt{b x}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 4) - sqrt(b*x))/b","A",0
1526,1,23,0,1.031502," ","integrate(1/(b*x-1)^(1/2)/(b*x+3)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 3} - \sqrt{b x - 1}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 3) - sqrt(b*x - 1))/b","A",0
1527,1,23,0,1.075031," ","integrate(1/(b*x-2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 2} - \sqrt{b x - 2}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 2) - sqrt(b*x - 2))/b","B",0
1528,1,23,0,0.995427," ","integrate(1/(b*x-3)^(1/2)/(b*x+1)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 1} - \sqrt{b x - 3}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 1) - sqrt(b*x - 3))/b","A",0
1529,1,23,0,1.011693," ","integrate(1/(b*x+2)^(1/2)/(b*x+3)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 3} - \sqrt{b x + 2}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 3) - sqrt(b*x + 2))/b","A",0
1530,1,11,0,0.952208," ","integrate(1/(b*x+2),x, algorithm=""giac"")","\frac{\log\left({\left| b x + 2 \right|}\right)}{b}"," ",0,"log(abs(b*x + 2))/b","A",0
1531,1,23,0,0.924774," ","integrate(1/(b*x+1)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 2} - \sqrt{b x + 1}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 2) - sqrt(b*x + 1))/b","A",0
1532,1,21,0,1.066865," ","integrate(1/(b*x)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 2} - \sqrt{b x}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 2) - sqrt(b*x))/b","A",0
1533,1,23,0,1.023499," ","integrate(1/(b*x-1)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 2} - \sqrt{b x - 1}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 2) - sqrt(b*x - 1))/b","A",0
1534,1,23,0,0.959289," ","integrate(1/(b*x-2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 2} - \sqrt{b x - 2}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 2) - sqrt(b*x - 2))/b","B",0
1535,1,23,0,0.958005," ","integrate(1/(b*x-3)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 2} - \sqrt{b x - 3}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 2) - sqrt(b*x - 3))/b","A",0
1536,1,18,0,1.048541," ","integrate(1/(-b*x+3)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arcsin\left(\frac{1}{5} \, \sqrt{5} \sqrt{b x + 2}\right)}{b}"," ",0,"2*arcsin(1/5*sqrt(5)*sqrt(b*x + 2))/b","A",0
1537,1,15,0,0.907122," ","integrate(1/(-b*x+2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arcsin\left(\frac{1}{2} \, \sqrt{b x + 2}\right)}{b}"," ",0,"2*arcsin(1/2*sqrt(b*x + 2))/b","A",0
1538,1,18,0,1.049779," ","integrate(1/(-b*x+1)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arcsin\left(\frac{1}{3} \, \sqrt{3} \sqrt{b x + 2}\right)}{b}"," ",0,"2*arcsin(1/3*sqrt(3)*sqrt(b*x + 2))/b","A",0
1539,1,18,0,0.933726," ","integrate(1/(-b*x)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{b x + 2}\right)}{b}"," ",0,"2*arcsin(1/2*sqrt(2)*sqrt(b*x + 2))/b","A",0
1540,1,13,0,1.171758," ","integrate(1/(-b*x-1)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arcsin\left(\sqrt{b x + 2}\right)}{b}"," ",0,"2*arcsin(sqrt(b*x + 2))/b","A",0
1541,1,12,0,0.967753," ","integrate(1/(-b*x-2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","-\frac{i \, \log\left({\left| b x + 2 \right|}\right)}{b}"," ",0,"-I*log(abs(b*x + 2))/b","C",0
1542,1,23,0,1.071185," ","integrate(1/(-b*x-3)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\frac{2 i \, \log\left(\sqrt{b x + 3} - \sqrt{b x + 2}\right)}{b}"," ",0,"2*I*log(sqrt(b*x + 3) - sqrt(b*x + 2))/b","C",0
1543,1,25,0,1.037239," ","integrate(1/(-b*x+2)^(1/2)/(-b*x+3)^(1/2),x, algorithm=""giac"")","\frac{2 \, \log\left(\sqrt{-b x + 3} - \sqrt{-b x + 2}\right)}{b}"," ",0,"2*log(sqrt(-b*x + 3) - sqrt(-b*x + 2))/b","A",0
1544,1,12,0,1.101994," ","integrate(1/(-b*x+2),x, algorithm=""giac"")","-\frac{\log\left({\left| b x - 2 \right|}\right)}{b}"," ",0,"-log(abs(b*x - 2))/b","A",0
1545,1,25,0,0.852806," ","integrate(1/(-b*x+1)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""giac"")","\frac{2 \, \log\left(\sqrt{-b x + 2} - \sqrt{-b x + 1}\right)}{b}"," ",0,"2*log(sqrt(-b*x + 2) - sqrt(-b*x + 1))/b","A",0
1546,1,23,0,1.025156," ","integrate(1/(-b*x)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""giac"")","\frac{2 \, \log\left(\sqrt{-b x + 2} - \sqrt{-b x}\right)}{b}"," ",0,"2*log(sqrt(-b*x + 2) - sqrt(-b*x))/b","A",0
1547,1,25,0,1.095496," ","integrate(1/(-b*x-1)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""giac"")","\frac{2 \, \log\left(\sqrt{-b x + 2} - \sqrt{-b x - 1}\right)}{b}"," ",0,"2*log(sqrt(-b*x + 2) - sqrt(-b*x - 1))/b","A",0
1548,1,25,0,1.103558," ","integrate(1/(-b*x-2)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""giac"")","\frac{2 \, \log\left(\sqrt{-b x + 2} - \sqrt{-b x - 2}\right)}{b}"," ",0,"2*log(sqrt(-b*x + 2) - sqrt(-b*x - 2))/b","B",0
1549,1,25,0,1.277380," ","integrate(1/(-b*x-3)^(1/2)/(-b*x+2)^(1/2),x, algorithm=""giac"")","\frac{2 \, \log\left(\sqrt{-b x + 2} - \sqrt{-b x - 3}\right)}{b}"," ",0,"2*log(sqrt(-b*x + 2) - sqrt(-b*x - 3))/b","A",0
1550,1,23,0,1.039990," ","integrate(1/(b*x-4)^(1/2)/(b*x+4)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + 4} - \sqrt{b x - 4}\right)}{b}"," ",0,"-2*log(sqrt(b*x + 4) - sqrt(b*x - 4))/b","B",0
1551,1,57,0,0.972337," ","integrate(1/((b*c-b)/d+b*x)^(1/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, b \log\left(-\sqrt{b d} \sqrt{\frac{b d x + b c - b}{d}} + \sqrt{{\left(b d x + b c - b\right)} b + b^{2}}\right)}{\sqrt{b d} {\left| b \right|}}"," ",0,"-2*b*log(-sqrt(b*d)*sqrt((b*d*x + b*c - b)/d) + sqrt((b*d*x + b*c - b)*b + b^2))/(sqrt(b*d)*abs(b))","A",0
1552,1,23,0,0.923130," ","integrate(1/x^(1/2)/(-3+2*x)^(1/2),x, algorithm=""giac"")","-\sqrt{2} \log\left(\sqrt{2} \sqrt{x} - \sqrt{2 \, x - 3}\right)"," ",0,"-sqrt(2)*log(sqrt(2)*sqrt(x) - sqrt(2*x - 3))","A",0
1553,1,30,0,1.260182," ","integrate(1/(-3+2*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \sqrt{2} \log\left({\left| -\sqrt{2} \sqrt{3 \, x + 2} + \sqrt{6 \, x - 9} \right|}\right)"," ",0,"-1/3*sqrt(3)*sqrt(2)*log(abs(-sqrt(2)*sqrt(3*x + 2) + sqrt(6*x - 9)))","A",0
1554,1,58,0,1.078984," ","integrate(1/((-b*c+b)/d+b*x)^(1/2)/(-d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, b \log\left(-\sqrt{-b d} \sqrt{\frac{b d x - b c + b}{d}} + \sqrt{-{\left(b d x - b c + b\right)} b + b^{2}}\right)}{\sqrt{-b d} {\left| b \right|}}"," ",0,"-2*b*log(-sqrt(-b*d)*sqrt((b*d*x - b*c + b)/d) + sqrt(-(b*d*x - b*c + b)*b + b^2))/(sqrt(-b*d)*abs(b))","A",0
1555,1,8,0,1.098892," ","integrate(1/(4-x)^(1/2)/x^(1/2),x, algorithm=""giac"")","2 \, \arcsin\left(\frac{1}{2} \, \sqrt{x}\right)"," ",0,"2*arcsin(1/2*sqrt(x))","A",0
1556,1,13,0,1.085324," ","integrate(1/(3-2*x)^(1/2)/x^(1/2),x, algorithm=""giac"")","\sqrt{2} \arcsin\left(\frac{1}{3} \, \sqrt{6} \sqrt{x}\right)"," ",0,"sqrt(2)*arcsin(1/3*sqrt(6)*sqrt(x))","A",0
1557,1,21,0,0.933928," ","integrate(1/(3-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{5} \, \sqrt{5} \sqrt{2} \arcsin\left(\frac{1}{21} \, \sqrt{42} \sqrt{5 \, x + 3}\right)"," ",0,"1/5*sqrt(5)*sqrt(2)*arcsin(1/21*sqrt(42)*sqrt(5*x + 3))","A",0
1558,1,54,0,1.162229," ","integrate(1/(-b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, b \log\left({\left| -\sqrt{-b d} \sqrt{-b x + a} + \sqrt{b^{2} c + {\left(b x - a\right)} b d + a b d} \right|}\right)}{\sqrt{-b d} {\left| b \right|}}"," ",0,"2*b*log(abs(-sqrt(-b*d)*sqrt(-b*x + a) + sqrt(b^2*c + (b*x - a)*b*d + a*b*d)))/(sqrt(-b*d)*abs(b))","A",0
1559,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/3),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*(d*x + c)^(1/3), x)","F",0
1560,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/3),x, algorithm=""giac"")","\int \sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(1/3), x)","F",0
1561,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/sqrt(b*x + a), x)","F",0
1562,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(3/2), x)","F",0
1563,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(5/2), x)","F",0
1564,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(7/2), x)","F",0
1565,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(1/3), x)","F",0
1566,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(1/3), x)","F",0
1567,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(1/3)), x)","F",0
1568,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(1/3)), x)","F",0
1569,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(1/3)), x)","F",0
1570,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(2/3), x)","F",0
1571,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(2/3), x)","F",0
1572,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(2/3)), x)","F",0
1573,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(2/3)), x)","F",0
1574,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(2/3)), x)","F",0
1575,0,0,0,0.000000," ","integrate((b*x+a)^(2/3)*(d*x+c)^(1/3),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*x + a)^(2/3)*(d*x + c)^(1/3), x)","F",0
1576,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(1/3),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(1/3), x)","F",0
1577,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(4/3),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(4/3), x)","F",0
1578,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(7/3),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{7}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(7/3), x)","F",0
1579,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(10/3),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{10}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(10/3), x)","F",0
1580,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(13/3),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{13}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(13/3), x)","F",0
1581,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(16/3),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{16}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(16/3), x)","F",0
1582,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)*(d*x+c)^(1/3),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)*(d*x + c)^(1/3), x)","F",0
1583,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(d*x+c)^(1/3),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)*(d*x + c)^(1/3), x)","F",0
1584,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(2/3),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(2/3), x)","F",0
1585,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(5/3),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{5}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(5/3), x)","F",0
1586,0,0,0,0.000000," ","integrate((d*x+c)^(1/3)/(b*x+a)^(8/3),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{3}}}{{\left(b x + a\right)}^{\frac{8}{3}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/3)/(b*x + a)^(8/3), x)","F",0
1587,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)/(d*x + c)^(1/3), x)","F",0
1588,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)/(d*x + c)^(1/3), x)","F",0
1589,0,0,0,0.000000," ","integrate(1/(b*x+a)^(2/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(2/3)*(d*x + c)^(1/3)), x)","F",0
1590,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/3)*(d*x + c)^(1/3)), x)","F",0
1591,0,0,0,0.000000," ","integrate(1/(b*x+a)^(8/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{8}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(8/3)*(d*x + c)^(1/3)), x)","F",0
1592,0,0,0,0.000000," ","integrate(1/(b*x+a)^(11/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{11}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(11/3)*(d*x + c)^(1/3)), x)","F",0
1593,0,0,0,0.000000," ","integrate(1/(b*x+a)^(14/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{14}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(14/3)*(d*x + c)^(1/3)), x)","F",0
1594,0,0,0,0.000000," ","integrate((b*x+a)^(8/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{8}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(8/3)/(d*x + c)^(1/3), x)","F",0
1595,0,0,0,0.000000," ","integrate((b*x+a)^(5/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/3)/(d*x + c)^(1/3), x)","F",0
1596,0,0,0,0.000000," ","integrate((b*x+a)^(2/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{2}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(2/3)/(d*x + c)^(1/3), x)","F",0
1597,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/3)*(d*x + c)^(1/3)), x)","F",0
1598,0,0,0,0.000000," ","integrate(1/(b*x+a)^(4/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(4/3)*(d*x + c)^(1/3)), x)","F",0
1599,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/3)*(d*x + c)^(1/3)), x)","F",0
1600,0,0,0,0.000000," ","integrate(1/(b*x+a)^(10/3)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{10}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(10/3)*(d*x + c)^(1/3)), x)","F",0
1601,0,0,0,0.000000," ","integrate((b*x+a)^(5/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/3)/(d*x + c)^(2/3), x)","F",0
1602,0,0,0,0.000000," ","integrate((b*x+a)^(2/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{2}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(2/3)/(d*x + c)^(2/3), x)","F",0
1603,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/3)*(d*x + c)^(2/3)), x)","F",0
1604,0,0,0,0.000000," ","integrate(1/(b*x+a)^(4/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(4/3)*(d*x + c)^(2/3)), x)","F",0
1605,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/3)*(d*x + c)^(2/3)), x)","F",0
1606,0,0,0,0.000000," ","integrate(1/(b*x+a)^(10/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{10}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(10/3)*(d*x + c)^(2/3)), x)","F",0
1607,0,0,0,0.000000," ","integrate(1/(b*x+a)^(13/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{13}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(13/3)*(d*x + c)^(2/3)), x)","F",0
1608,0,0,0,0.000000," ","integrate((b*x+a)^(7/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/3)/(d*x + c)^(2/3), x)","F",0
1609,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)/(d*x + c)^(2/3), x)","F",0
1610,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)/(d*x + c)^(2/3), x)","F",0
1611,0,0,0,0.000000," ","integrate(1/(b*x+a)^(2/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(2/3)*(d*x + c)^(2/3)), x)","F",0
1612,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/3)*(d*x + c)^(2/3)), x)","F",0
1613,0,0,0,0.000000," ","integrate(1/(b*x+a)^(8/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{8}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(8/3)*(d*x + c)^(2/3)), x)","F",0
1614,0,0,0,0.000000," ","integrate(1/(b*x+a)^(11/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{11}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(11/3)*(d*x + c)^(2/3)), x)","F",0
1615,0,0,0,0.000000," ","integrate((b*x+a)^(7/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/3)/(d*x + c)^(4/3), x)","F",0
1616,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)/(d*x + c)^(4/3), x)","F",0
1617,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)/(d*x + c)^(4/3), x)","F",0
1618,0,0,0,0.000000," ","integrate(1/(b*x+a)^(2/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{2}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(2/3)*(d*x + c)^(4/3)), x)","F",0
1619,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/3)*(d*x + c)^(4/3)), x)","F",0
1620,0,0,0,0.000000," ","integrate(1/(b*x+a)^(8/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{8}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(8/3)*(d*x + c)^(4/3)), x)","F",0
1621,0,0,0,0.000000," ","integrate(1/(b*x+a)^(11/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{11}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(11/3)*(d*x + c)^(4/3)), x)","F",0
1622,0,0,0,0.000000," ","integrate((b*x+a)^(8/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{8}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(8/3)/(d*x + c)^(4/3), x)","F",0
1623,0,0,0,0.000000," ","integrate((b*x+a)^(5/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/3)/(d*x + c)^(4/3), x)","F",0
1624,0,0,0,0.000000," ","integrate((b*x+a)^(2/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{2}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(2/3)/(d*x + c)^(4/3), x)","F",0
1625,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/3)*(d*x + c)^(4/3)), x)","F",0
1626,0,0,0,0.000000," ","integrate(1/(b*x+a)^(4/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(4/3)*(d*x + c)^(4/3)), x)","F",0
1627,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/3)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{3}} {\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/3)*(d*x + c)^(4/3)), x)","F",0
1628,0,0,0,0.000000," ","integrate((-1+x)^(1/3)/(1+x)^(1/3),x, algorithm=""giac"")","\int \frac{{\left(x - 1\right)}^{\frac{1}{3}}}{{\left(x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x - 1)^(1/3)/(x + 1)^(1/3), x)","F",0
1629,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/4),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*(d*x + c)^(1/4), x)","F",0
1630,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/4),x, algorithm=""giac"")","\int \sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(1/4), x)","F",0
1631,0,0,0,0.000000," ","integrate((d*x+c)^(1/4)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{4}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(1/4)/sqrt(b*x + a), x)","F",0
1632,-2,0,0,0.000000," ","integrate((d*x+c)^(1/4)/(b*x+a)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"Unable to divide, perhaps due to rounding error%%%{1,[0,1,0]%%%} / %%%{1,[0,0,1]%%%} Error: Bad Argument Value"","F(-2)",0
1633,-2,0,0,0.000000," ","integrate((d*x+c)^(1/4)/(b*x+a)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"Unable to divide, perhaps due to rounding error%%%{1,[0,1,2,0]%%%} / %%%{1,[0,0,0,1]%%%} Error: Bad Argument Value"","F(-2)",0
1634,-2,0,0,0.000000," ","integrate((d*x+c)^(1/4)/(b*x+a)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"Unable to divide, perhaps due to rounding error%%%{1,[0,1,4,0]%%%} / %%%{1,[0,0,0,1]%%%} Error: Bad Argument Value"","F(-2)",0
1635,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(3/4),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{3}{4}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*(d*x + c)^(3/4), x)","F",0
1636,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(3/4),x, algorithm=""giac"")","\int \sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(3/4), x)","F",0
1637,0,0,0,0.000000," ","integrate((d*x+c)^(3/4)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{3}{4}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(3/4)/sqrt(b*x + a), x)","F",0
1638,0,0,0,0.000000," ","integrate((d*x+c)^(3/4)/(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{3}{4}}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(3/4)/(b*x + a)^(3/2), x)","F",0
1639,0,0,0,0.000000," ","integrate((d*x+c)^(3/4)/(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{3}{4}}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(3/4)/(b*x + a)^(5/2), x)","F",0
1640,0,0,0,0.000000," ","integrate((d*x+c)^(3/4)/(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{3}{4}}}{{\left(b x + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(3/4)/(b*x + a)^(7/2), x)","F",0
1641,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/4),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*(d*x + c)^(5/4), x)","F",0
1642,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(5/4),x, algorithm=""giac"")","\int \sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(5/4), x)","F",0
1643,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/sqrt(b*x + a), x)","F",0
1644,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(3/2), x)","F",0
1645,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(5/2), x)","F",0
1646,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(7/2), x)","F",0
1647,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(9/2), x)","F",0
1648,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{2}}}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)/(d*x + c)^(1/4), x)","F",0
1649,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(1/4), x)","F",0
1650,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(1/4), x)","F",0
1651,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(1/4)), x)","F",0
1652,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(1/4)), x)","F",0
1653,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(1/4)), x)","F",0
1654,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(3/4), x)","F",0
1655,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(3/4), x)","F",0
1656,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(3/4)), x)","F",0
1657,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(3/4)), x)","F",0
1658,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(3/4)), x)","F",0
1659,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{2}}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)/(d*x + c)^(5/4), x)","F",0
1660,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(5/4), x)","F",0
1661,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(5/4), x)","F",0
1662,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(5/4)), x)","F",0
1663,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(5/4)), x)","F",0
1664,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(5/4)), x)","F",0
1665,0,0,0,0.000000," ","integrate((b*x+a)^(7/2)/(d*x+c)^(7/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{2}}}{{\left(d x + c\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/2)/(d*x + c)^(7/4), x)","F",0
1666,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(7/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(7/4), x)","F",0
1667,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(7/4),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(7/4), x)","F",0
1668,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(7/4),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(7/4)), x)","F",0
1669,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(7/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(7/4)), x)","F",0
1670,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(7/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(7/4)), x)","F",0
1671,0,0,0,0.000000," ","integrate((b*x+a)^(7/2)/(d*x+c)^(9/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{2}}}{{\left(d x + c\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/2)/(d*x + c)^(9/4), x)","F",0
1672,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(9/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{2}}}{{\left(d x + c\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)/(d*x + c)^(9/4), x)","F",0
1673,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(9/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(9/4), x)","F",0
1674,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(9/4),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(9/4), x)","F",0
1675,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(9/4),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(9/4)), x)","F",0
1676,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(9/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(9/4)), x)","F",0
1677,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(9/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(9/4)), x)","F",0
1678,0,0,0,0.000000," ","integrate((b*x+a)^(3/4)*(d*x+c)^(5/4),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate((b*x + a)^(3/4)*(d*x + c)^(5/4), x)","F",0
1679,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(1/4), x)","F",0
1680,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(5/4),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(5/4), x)","F",0
1681,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(9/4),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(9/4), x)","F",0
1682,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(13/4),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{13}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(13/4), x)","F",0
1683,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(17/4),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{17}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(17/4), x)","F",0
1684,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(21/4),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{21}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(21/4), x)","F",0
1685,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(25/4),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{25}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(25/4), x)","F",0
1686,0,0,0,0.000000," ","integrate((b*x+a)^(5/4)*(d*x+c)^(5/4),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{5}{4}} {\left(d x + c\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate((b*x + a)^(5/4)*(d*x + c)^(5/4), x)","F",0
1687,0,0,0,0.000000," ","integrate((b*x+a)^(1/4)*(d*x+c)^(5/4),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)*(d*x + c)^(5/4), x)","F",0
1688,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(3/4),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(3/4), x)","F",0
1689,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(7/4),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(7/4), x)","F",0
1690,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(11/4),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{11}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(11/4), x)","F",0
1691,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(15/4),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{15}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(15/4), x)","F",0
1692,0,0,0,0.000000," ","integrate((d*x+c)^(5/4)/(b*x+a)^(19/4),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{4}}}{{\left(b x + a\right)}^{\frac{19}{4}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/4)/(b*x + a)^(19/4), x)","F",0
1693,0,0,0,0.000000," ","integrate((b*x+a)^(5/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{4}}}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/4)/(d*x + c)^(1/4), x)","F",0
1694,0,0,0,0.000000," ","integrate((b*x+a)^(1/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{4}}}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)/(d*x + c)^(1/4), x)","F",0
1695,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/4)*(d*x + c)^(1/4)), x)","F",0
1696,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/4)*(d*x + c)^(1/4)), x)","F",0
1697,0,0,0,0.000000," ","integrate(1/(b*x+a)^(11/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{11}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(11/4)*(d*x + c)^(1/4)), x)","F",0
1698,0,0,0,0.000000," ","integrate(1/(b*x+a)^(15/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{15}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(15/4)*(d*x + c)^(1/4)), x)","F",0
1699,0,0,0,0.000000," ","integrate(1/(b*x+a)^(19/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{19}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(19/4)*(d*x + c)^(1/4)), x)","F",0
1700,0,0,0,0.000000," ","integrate((b*x+a)^(7/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{4}}}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/4)/(d*x + c)^(1/4), x)","F",0
1701,0,0,0,0.000000," ","integrate((b*x+a)^(3/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{4}}}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/4)/(d*x + c)^(1/4), x)","F",0
1702,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/4)*(d*x + c)^(1/4)), x)","F",0
1703,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/4)*(d*x + c)^(1/4)), x)","F",0
1704,0,0,0,0.000000," ","integrate(1/(b*x+a)^(9/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{9}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(9/4)*(d*x + c)^(1/4)), x)","F",0
1705,0,0,0,0.000000," ","integrate((b*x+a)^(7/4)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{4}}}{{\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/4)/(d*x + c)^(3/4), x)","F",0
1706,0,0,0,0.000000," ","integrate((b*x+a)^(3/4)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{4}}}{{\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/4)/(d*x + c)^(3/4), x)","F",0
1707,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/4)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/4)*(d*x + c)^(3/4)), x)","F",0
1708,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/4)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/4)*(d*x + c)^(3/4)), x)","F",0
1709,0,0,0,0.000000," ","integrate(1/(b*x+a)^(9/4)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{9}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(9/4)*(d*x + c)^(3/4)), x)","F",0
1710,0,0,0,0.000000," ","integrate(1/(b*x+a)^(13/4)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{13}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(13/4)*(d*x + c)^(3/4)), x)","F",0
1711,0,0,0,0.000000," ","integrate(1/(b*x+a)^(17/4)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{17}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(17/4)*(d*x + c)^(3/4)), x)","F",0
1712,0,0,0,0.000000," ","integrate((b*x+a)^(5/4)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{4}}}{{\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/4)/(d*x + c)^(3/4), x)","F",0
1713,0,0,0,0.000000," ","integrate((b*x+a)^(1/4)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{4}}}{{\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)/(d*x + c)^(3/4), x)","F",0
1714,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/4)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/4)*(d*x + c)^(3/4)), x)","F",0
1715,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/4)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/4)*(d*x + c)^(3/4)), x)","F",0
1716,0,0,0,0.000000," ","integrate(1/(b*x+a)^(11/4)/(d*x+c)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{11}{4}} {\left(d x + c\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(11/4)*(d*x + c)^(3/4)), x)","F",0
1717,0,0,0,0.000000," ","integrate((b*x+a)^(5/4)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{4}}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/4)/(d*x + c)^(5/4), x)","F",0
1718,0,0,0,0.000000," ","integrate((b*x+a)^(1/4)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{4}}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)/(d*x + c)^(5/4), x)","F",0
1719,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/4)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/4)*(d*x + c)^(5/4)), x)","F",0
1720,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/4)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/4)*(d*x + c)^(5/4)), x)","F",0
1721,0,0,0,0.000000," ","integrate(1/(b*x+a)^(11/4)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{11}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(11/4)*(d*x + c)^(5/4)), x)","F",0
1722,0,0,0,0.000000," ","integrate(1/(b*x+a)^(15/4)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{15}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(15/4)*(d*x + c)^(5/4)), x)","F",0
1723,0,0,0,0.000000," ","integrate((b*x+a)^(11/4)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{11}{4}}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(11/4)/(d*x + c)^(5/4), x)","F",0
1724,0,0,0,0.000000," ","integrate((b*x+a)^(7/4)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{4}}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/4)/(d*x + c)^(5/4), x)","F",0
1725,0,0,0,0.000000," ","integrate((b*x+a)^(3/4)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{4}}}{{\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/4)/(d*x + c)^(5/4), x)","F",0
1726,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/4)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/4)*(d*x + c)^(5/4)), x)","F",0
1727,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/4)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/4)*(d*x + c)^(5/4)), x)","F",0
1728,0,0,0,0.000000," ","integrate(1/(b*x+a)^(9/4)/(d*x+c)^(5/4),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{9}{4}} {\left(d x + c\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(9/4)*(d*x + c)^(5/4)), x)","F",0
1729,0,0,0,0.000000," ","integrate(1/(-a*x+1)^(1/4)/(b*x+1)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(-a x + 1\right)}^{\frac{1}{4}} {\left(b x + 1\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((-a*x + 1)^(1/4)*(b*x + 1)^(3/4)), x)","F",0
1730,0,0,0,0.000000," ","integrate(1/(-a*x+1)^(1/4)/(a*x+1)^(3/4),x, algorithm=""giac"")","\int \frac{1}{{\left(a x + 1\right)}^{\frac{3}{4}} {\left(-a x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x + 1)^(3/4)*(-a*x + 1)^(1/4)), x)","F",0
1731,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/5),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{1}{5}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(1/5), x)","F",0
1732,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/5),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{5}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(1/5), x)","F",0
1733,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/5),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{5}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(1/5)), x)","F",0
1734,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/5),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{5}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(1/5)), x)","F",0
1735,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/5),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{1}{5}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(1/5)), x)","F",0
1736,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(d*x+c)^(1/6),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{1}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)*(d*x + c)^(1/6), x)","F",0
1737,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/6),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)*(d*x + c)^(1/6), x)","F",0
1738,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/6),x, algorithm=""giac"")","\int \sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{6}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(1/6), x)","F",0
1739,0,0,0,0.000000," ","integrate((d*x+c)^(1/6)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{6}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(1/6)/sqrt(b*x + a), x)","F",0
1740,0,0,0,0.000000," ","integrate((d*x+c)^(1/6)/(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{6}}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/6)/(b*x + a)^(3/2), x)","F",0
1741,0,0,0,0.000000," ","integrate((d*x+c)^(1/6)/(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{6}}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/6)/(b*x + a)^(5/2), x)","F",0
1742,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/6),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1743,-1,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(5/6),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1744,0,0,0,0.000000," ","integrate((d*x+c)^(5/6)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{6}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(5/6)/sqrt(b*x + a), x)","F",0
1745,0,0,0,0.000000," ","integrate((d*x+c)^(5/6)/(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{6}}}{{\left(b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/6)/(b*x + a)^(3/2), x)","F",0
1746,0,0,0,0.000000," ","integrate((d*x+c)^(5/6)/(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{6}}}{{\left(b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/6)/(b*x + a)^(5/2), x)","F",0
1747,0,0,0,0.000000," ","integrate((d*x+c)^(5/6)/(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{5}{6}}}{{\left(b x + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*x + c)^(5/6)/(b*x + a)^(7/2), x)","F",0
1748,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(1/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{2}}}{{\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)/(d*x + c)^(1/6), x)","F",0
1749,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(1/6), x)","F",0
1750,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/6),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(1/6), x)","F",0
1751,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/6),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(1/6)), x)","F",0
1752,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(1/6)), x)","F",0
1753,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(1/6)), x)","F",0
1754,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(5/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{2}}}{{\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)/(d*x + c)^(5/6), x)","F",0
1755,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(5/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(5/6), x)","F",0
1756,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(5/6),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(5/6), x)","F",0
1757,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(5/6),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(5/6)), x)","F",0
1758,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(5/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(5/6)), x)","F",0
1759,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(5/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(5/6)), x)","F",0
1760,0,0,0,0.000000," ","integrate((b*x+a)^(5/2)/(d*x+c)^(7/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{2}}}{{\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/2)/(d*x + c)^(7/6), x)","F",0
1761,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(7/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{{\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(d*x + c)^(7/6), x)","F",0
1762,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(7/6),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a}}{{\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(d*x + c)^(7/6), x)","F",0
1763,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(7/6),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*(d*x + c)^(7/6)), x)","F",0
1764,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(7/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(7/6)), x)","F",0
1765,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(7/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{2}} {\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/2)*(d*x + c)^(7/6)), x)","F",0
1766,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)*(d*x+c)^(13/6),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{13}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)*(d*x + c)^(13/6), x)","F",0
1767,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)*(d*x+c)^(7/6),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{7}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)*(d*x + c)^(7/6), x)","F",0
1768,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)*(d*x+c)^(1/6),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{1}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)*(d*x + c)^(1/6), x)","F",0
1769,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(5/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(5/6), x)","F",0
1770,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(11/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{11}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(11/6), x)","F",0
1771,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(17/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{17}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(17/6), x)","F",0
1772,-1,0,0,0.000000," ","integrate((b*x+a)^(1/6)*(d*x+c)^(5/6),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1773,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(1/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(1/6), x)","F",0
1774,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(7/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(7/6), x)","F",0
1775,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(13/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{13}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(13/6), x)","F",0
1776,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(19/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{19}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(19/6), x)","F",0
1777,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(25/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{25}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(25/6), x)","F",0
1778,0,0,0,0.000000," ","integrate((b*x+a)^(1/6)/(d*x+c)^(31/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{6}}}{{\left(d x + c\right)}^{\frac{31}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/6)/(d*x + c)^(31/6), x)","F",0
1779,0,0,0,0.000000," ","integrate((b*x+a)^(5/6)*(d*x+c)^(1/6),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(5/6)*(d*x + c)^(1/6), x)","F",0
1780,0,0,0,0.000000," ","integrate((b*x+a)^(5/6)/(d*x+c)^(5/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{6}}}{{\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/6)/(d*x + c)^(5/6), x)","F",0
1781,0,0,0,0.000000," ","integrate((b*x+a)^(5/6)/(d*x+c)^(11/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{6}}}{{\left(d x + c\right)}^{\frac{11}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/6)/(d*x + c)^(11/6), x)","F",0
1782,0,0,0,0.000000," ","integrate((b*x+a)^(5/6)/(d*x+c)^(17/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{6}}}{{\left(d x + c\right)}^{\frac{17}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/6)/(d*x + c)^(17/6), x)","F",0
1783,0,0,0,0.000000," ","integrate((b*x+a)^(5/6)/(d*x+c)^(23/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{6}}}{{\left(d x + c\right)}^{\frac{23}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/6)/(d*x + c)^(23/6), x)","F",0
1784,0,0,0,0.000000," ","integrate((b*x+a)^(5/6)/(d*x+c)^(29/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{6}}}{{\left(d x + c\right)}^{\frac{29}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/6)/(d*x + c)^(29/6), x)","F",0
1785,0,0,0,0.000000," ","integrate((b*x+a)^(5/6)/(d*x+c)^(35/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{6}}}{{\left(d x + c\right)}^{\frac{35}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/6)/(d*x + c)^(35/6), x)","F",0
1786,-1,0,0,0.000000," ","integrate((b*x+a)^(5/6)*(d*x+c)^(11/6),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1787,-1,0,0,0.000000," ","integrate((b*x+a)^(5/6)*(d*x+c)^(5/6),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1788,0,0,0,0.000000," ","integrate((b*x+a)^(5/6)/(d*x+c)^(1/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{6}}}{{\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/6)/(d*x + c)^(1/6), x)","F",0
1789,0,0,0,0.000000," ","integrate((b*x+a)^(5/6)/(d*x+c)^(7/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{6}}}{{\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/6)/(d*x + c)^(7/6), x)","F",0
1790,0,0,0,0.000000," ","integrate((b*x+a)^(5/6)/(d*x+c)^(13/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{6}}}{{\left(d x + c\right)}^{\frac{13}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/6)/(d*x + c)^(13/6), x)","F",0
1791,0,0,0,0.000000," ","integrate((b*x+a)^(5/6)/(d*x+c)^(19/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{5}{6}}}{{\left(d x + c\right)}^{\frac{19}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(5/6)/(d*x + c)^(19/6), x)","F",0
1792,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)*(d*x+c)^(13/6),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{13}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)*(d*x + c)^(13/6), x)","F",0
1793,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)*(d*x+c)^(7/6),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{7}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)*(d*x + c)^(7/6), x)","F",0
1794,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)*(d*x+c)^(1/6),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{1}{6}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)*(d*x + c)^(1/6), x)","F",0
1795,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)/(d*x+c)^(5/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{6}}}{{\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)/(d*x + c)^(5/6), x)","F",0
1796,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)/(d*x+c)^(11/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{6}}}{{\left(d x + c\right)}^{\frac{11}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)/(d*x + c)^(11/6), x)","F",0
1797,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)/(d*x+c)^(17/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{6}}}{{\left(d x + c\right)}^{\frac{17}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)/(d*x + c)^(17/6), x)","F",0
1798,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)/(d*x+c)^(1/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{6}}}{{\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)/(d*x + c)^(1/6), x)","F",0
1799,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)/(d*x+c)^(7/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{6}}}{{\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)/(d*x + c)^(7/6), x)","F",0
1800,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)/(d*x+c)^(13/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{6}}}{{\left(d x + c\right)}^{\frac{13}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)/(d*x + c)^(13/6), x)","F",0
1801,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)/(d*x+c)^(19/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{6}}}{{\left(d x + c\right)}^{\frac{19}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)/(d*x + c)^(19/6), x)","F",0
1802,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)/(d*x+c)^(25/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{6}}}{{\left(d x + c\right)}^{\frac{25}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)/(d*x + c)^(25/6), x)","F",0
1803,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)/(d*x+c)^(31/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{6}}}{{\left(d x + c\right)}^{\frac{31}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)/(d*x + c)^(31/6), x)","F",0
1804,0,0,0,0.000000," ","integrate((b*x+a)^(7/6)/(d*x+c)^(37/6),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{7}{6}}}{{\left(d x + c\right)}^{\frac{37}{6}}}\,{d x}"," ",0,"integrate((b*x + a)^(7/6)/(d*x + c)^(37/6), x)","F",0
1805,0,0,0,0.000000," ","integrate((d*x+c)^(7/6)/(b*x+a)^(1/6),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{7}{6}}}{{\left(b x + a\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((d*x + c)^(7/6)/(b*x + a)^(1/6), x)","F",0
1806,0,0,0,0.000000," ","integrate((d*x+c)^(1/6)/(b*x+a)^(1/6),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{6}}}{{\left(b x + a\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/6)/(b*x + a)^(1/6), x)","F",0
1807,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(5/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/6)*(d*x + c)^(5/6)), x)","F",0
1808,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(11/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{11}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/6)*(d*x + c)^(11/6)), x)","F",0
1809,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(17/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{17}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/6)*(d*x + c)^(17/6)), x)","F",0
1810,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(23/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{23}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/6)*(d*x + c)^(23/6)), x)","F",0
1811,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(29/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{29}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/6)*(d*x + c)^(29/6)), x)","F",0
1812,-1,0,0,0.000000," ","integrate((d*x+c)^(11/6)/(b*x+a)^(1/6),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1813,-1,0,0,0.000000," ","integrate((d*x+c)^(5/6)/(b*x+a)^(1/6),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1814,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(1/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/6)*(d*x + c)^(1/6)), x)","F",0
1815,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(7/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/6)*(d*x + c)^(7/6)), x)","F",0
1816,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(13/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{13}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/6)*(d*x + c)^(13/6)), x)","F",0
1817,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/6)/(d*x+c)^(19/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{6}} {\left(d x + c\right)}^{\frac{19}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/6)*(d*x + c)^(19/6)), x)","F",0
1818,0,0,0,0.000000," ","integrate((d*x+c)^(13/6)/(b*x+a)^(5/6),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{13}{6}}}{{\left(b x + a\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate((d*x + c)^(13/6)/(b*x + a)^(5/6), x)","F",0
1819,0,0,0,0.000000," ","integrate((d*x+c)^(7/6)/(b*x+a)^(5/6),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{7}{6}}}{{\left(b x + a\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate((d*x + c)^(7/6)/(b*x + a)^(5/6), x)","F",0
1820,0,0,0,0.000000," ","integrate((d*x+c)^(1/6)/(b*x+a)^(5/6),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{6}}}{{\left(b x + a\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/6)/(b*x + a)^(5/6), x)","F",0
1821,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(5/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/6)*(d*x + c)^(5/6)), x)","F",0
1822,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(11/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{11}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/6)*(d*x + c)^(11/6)), x)","F",0
1823,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(17/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{17}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/6)*(d*x + c)^(17/6)), x)","F",0
1824,-1,0,0,0.000000," ","integrate((d*x+c)^(11/6)/(b*x+a)^(5/6),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1825,-1,0,0,0.000000," ","integrate((d*x+c)^(5/6)/(b*x+a)^(5/6),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1826,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(1/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/6)*(d*x + c)^(1/6)), x)","F",0
1827,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(7/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/6)*(d*x + c)^(7/6)), x)","F",0
1828,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(13/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{13}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/6)*(d*x + c)^(13/6)), x)","F",0
1829,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(19/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{19}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/6)*(d*x + c)^(19/6)), x)","F",0
1830,0,0,0,0.000000," ","integrate(1/(b*x+a)^(5/6)/(d*x+c)^(25/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{5}{6}} {\left(d x + c\right)}^{\frac{25}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(5/6)*(d*x + c)^(25/6)), x)","F",0
1831,0,0,0,0.000000," ","integrate((d*x+c)^(13/6)/(b*x+a)^(7/6),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{13}{6}}}{{\left(b x + a\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((d*x + c)^(13/6)/(b*x + a)^(7/6), x)","F",0
1832,0,0,0,0.000000," ","integrate((d*x+c)^(7/6)/(b*x+a)^(7/6),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{7}{6}}}{{\left(b x + a\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((d*x + c)^(7/6)/(b*x + a)^(7/6), x)","F",0
1833,0,0,0,0.000000," ","integrate((d*x+c)^(1/6)/(b*x+a)^(7/6),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{1}{6}}}{{\left(b x + a\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate((d*x + c)^(1/6)/(b*x + a)^(7/6), x)","F",0
1834,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(5/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{5}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/6)*(d*x + c)^(5/6)), x)","F",0
1835,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(11/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{11}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/6)*(d*x + c)^(11/6)), x)","F",0
1836,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(17/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{17}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/6)*(d*x + c)^(17/6)), x)","F",0
1837,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(23/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{23}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/6)*(d*x + c)^(23/6)), x)","F",0
1838,-1,0,0,0.000000," ","integrate((d*x+c)^(11/6)/(b*x+a)^(7/6),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1839,-1,0,0,0.000000," ","integrate((d*x+c)^(5/6)/(b*x+a)^(7/6),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1840,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(1/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/6)*(d*x + c)^(1/6)), x)","F",0
1841,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(7/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{7}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/6)*(d*x + c)^(7/6)), x)","F",0
1842,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(13/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{13}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/6)*(d*x + c)^(13/6)), x)","F",0
1843,0,0,0,0.000000," ","integrate(1/(b*x+a)^(7/6)/(d*x+c)^(19/6),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{7}{6}} {\left(d x + c\right)}^{\frac{19}{6}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(7/6)*(d*x + c)^(19/6)), x)","F",0
1844,1,23,0,0.996419," ","integrate((b*x+a)^m*(a+b*(2+m)*x),x, algorithm=""giac"")","{\left(b x + a\right)}^{m} b x^{2} + {\left(b x + a\right)}^{m} a x"," ",0,"(b*x + a)^m*b*x^2 + (b*x + a)^m*a*x","B",0
1845,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n, x)","F",0
1846,1,833,0,1.036419," ","integrate((b*x+a)^m*(d*x+c)^3,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{m} b^{4} d^{3} m^{3} x^{4} + 3 \, {\left(b x + a\right)}^{m} b^{4} c d^{2} m^{3} x^{3} + {\left(b x + a\right)}^{m} a b^{3} d^{3} m^{3} x^{3} + 6 \, {\left(b x + a\right)}^{m} b^{4} d^{3} m^{2} x^{4} + 3 \, {\left(b x + a\right)}^{m} b^{4} c^{2} d m^{3} x^{2} + 3 \, {\left(b x + a\right)}^{m} a b^{3} c d^{2} m^{3} x^{2} + 21 \, {\left(b x + a\right)}^{m} b^{4} c d^{2} m^{2} x^{3} + 3 \, {\left(b x + a\right)}^{m} a b^{3} d^{3} m^{2} x^{3} + 11 \, {\left(b x + a\right)}^{m} b^{4} d^{3} m x^{4} + {\left(b x + a\right)}^{m} b^{4} c^{3} m^{3} x + 3 \, {\left(b x + a\right)}^{m} a b^{3} c^{2} d m^{3} x + 24 \, {\left(b x + a\right)}^{m} b^{4} c^{2} d m^{2} x^{2} + 15 \, {\left(b x + a\right)}^{m} a b^{3} c d^{2} m^{2} x^{2} - 3 \, {\left(b x + a\right)}^{m} a^{2} b^{2} d^{3} m^{2} x^{2} + 42 \, {\left(b x + a\right)}^{m} b^{4} c d^{2} m x^{3} + 2 \, {\left(b x + a\right)}^{m} a b^{3} d^{3} m x^{3} + 6 \, {\left(b x + a\right)}^{m} b^{4} d^{3} x^{4} + {\left(b x + a\right)}^{m} a b^{3} c^{3} m^{3} + 9 \, {\left(b x + a\right)}^{m} b^{4} c^{3} m^{2} x + 21 \, {\left(b x + a\right)}^{m} a b^{3} c^{2} d m^{2} x - 6 \, {\left(b x + a\right)}^{m} a^{2} b^{2} c d^{2} m^{2} x + 57 \, {\left(b x + a\right)}^{m} b^{4} c^{2} d m x^{2} + 12 \, {\left(b x + a\right)}^{m} a b^{3} c d^{2} m x^{2} - 3 \, {\left(b x + a\right)}^{m} a^{2} b^{2} d^{3} m x^{2} + 24 \, {\left(b x + a\right)}^{m} b^{4} c d^{2} x^{3} + 9 \, {\left(b x + a\right)}^{m} a b^{3} c^{3} m^{2} - 3 \, {\left(b x + a\right)}^{m} a^{2} b^{2} c^{2} d m^{2} + 26 \, {\left(b x + a\right)}^{m} b^{4} c^{3} m x + 36 \, {\left(b x + a\right)}^{m} a b^{3} c^{2} d m x - 24 \, {\left(b x + a\right)}^{m} a^{2} b^{2} c d^{2} m x + 6 \, {\left(b x + a\right)}^{m} a^{3} b d^{3} m x + 36 \, {\left(b x + a\right)}^{m} b^{4} c^{2} d x^{2} + 26 \, {\left(b x + a\right)}^{m} a b^{3} c^{3} m - 21 \, {\left(b x + a\right)}^{m} a^{2} b^{2} c^{2} d m + 6 \, {\left(b x + a\right)}^{m} a^{3} b c d^{2} m + 24 \, {\left(b x + a\right)}^{m} b^{4} c^{3} x + 24 \, {\left(b x + a\right)}^{m} a b^{3} c^{3} - 36 \, {\left(b x + a\right)}^{m} a^{2} b^{2} c^{2} d + 24 \, {\left(b x + a\right)}^{m} a^{3} b c d^{2} - 6 \, {\left(b x + a\right)}^{m} a^{4} d^{3}}{b^{4} m^{4} + 10 \, b^{4} m^{3} + 35 \, b^{4} m^{2} + 50 \, b^{4} m + 24 \, b^{4}}"," ",0,"((b*x + a)^m*b^4*d^3*m^3*x^4 + 3*(b*x + a)^m*b^4*c*d^2*m^3*x^3 + (b*x + a)^m*a*b^3*d^3*m^3*x^3 + 6*(b*x + a)^m*b^4*d^3*m^2*x^4 + 3*(b*x + a)^m*b^4*c^2*d*m^3*x^2 + 3*(b*x + a)^m*a*b^3*c*d^2*m^3*x^2 + 21*(b*x + a)^m*b^4*c*d^2*m^2*x^3 + 3*(b*x + a)^m*a*b^3*d^3*m^2*x^3 + 11*(b*x + a)^m*b^4*d^3*m*x^4 + (b*x + a)^m*b^4*c^3*m^3*x + 3*(b*x + a)^m*a*b^3*c^2*d*m^3*x + 24*(b*x + a)^m*b^4*c^2*d*m^2*x^2 + 15*(b*x + a)^m*a*b^3*c*d^2*m^2*x^2 - 3*(b*x + a)^m*a^2*b^2*d^3*m^2*x^2 + 42*(b*x + a)^m*b^4*c*d^2*m*x^3 + 2*(b*x + a)^m*a*b^3*d^3*m*x^3 + 6*(b*x + a)^m*b^4*d^3*x^4 + (b*x + a)^m*a*b^3*c^3*m^3 + 9*(b*x + a)^m*b^4*c^3*m^2*x + 21*(b*x + a)^m*a*b^3*c^2*d*m^2*x - 6*(b*x + a)^m*a^2*b^2*c*d^2*m^2*x + 57*(b*x + a)^m*b^4*c^2*d*m*x^2 + 12*(b*x + a)^m*a*b^3*c*d^2*m*x^2 - 3*(b*x + a)^m*a^2*b^2*d^3*m*x^2 + 24*(b*x + a)^m*b^4*c*d^2*x^3 + 9*(b*x + a)^m*a*b^3*c^3*m^2 - 3*(b*x + a)^m*a^2*b^2*c^2*d*m^2 + 26*(b*x + a)^m*b^4*c^3*m*x + 36*(b*x + a)^m*a*b^3*c^2*d*m*x - 24*(b*x + a)^m*a^2*b^2*c*d^2*m*x + 6*(b*x + a)^m*a^3*b*d^3*m*x + 36*(b*x + a)^m*b^4*c^2*d*x^2 + 26*(b*x + a)^m*a*b^3*c^3*m - 21*(b*x + a)^m*a^2*b^2*c^2*d*m + 6*(b*x + a)^m*a^3*b*c*d^2*m + 24*(b*x + a)^m*b^4*c^3*x + 24*(b*x + a)^m*a*b^3*c^3 - 36*(b*x + a)^m*a^2*b^2*c^2*d + 24*(b*x + a)^m*a^3*b*c*d^2 - 6*(b*x + a)^m*a^4*d^3)/(b^4*m^4 + 10*b^4*m^3 + 35*b^4*m^2 + 50*b^4*m + 24*b^4)","B",0
1847,1,385,0,0.970219," ","integrate((b*x+a)^m*(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{m} b^{3} d^{2} m^{2} x^{3} + 2 \, {\left(b x + a\right)}^{m} b^{3} c d m^{2} x^{2} + {\left(b x + a\right)}^{m} a b^{2} d^{2} m^{2} x^{2} + 3 \, {\left(b x + a\right)}^{m} b^{3} d^{2} m x^{3} + {\left(b x + a\right)}^{m} b^{3} c^{2} m^{2} x + 2 \, {\left(b x + a\right)}^{m} a b^{2} c d m^{2} x + 8 \, {\left(b x + a\right)}^{m} b^{3} c d m x^{2} + {\left(b x + a\right)}^{m} a b^{2} d^{2} m x^{2} + 2 \, {\left(b x + a\right)}^{m} b^{3} d^{2} x^{3} + {\left(b x + a\right)}^{m} a b^{2} c^{2} m^{2} + 5 \, {\left(b x + a\right)}^{m} b^{3} c^{2} m x + 6 \, {\left(b x + a\right)}^{m} a b^{2} c d m x - 2 \, {\left(b x + a\right)}^{m} a^{2} b d^{2} m x + 6 \, {\left(b x + a\right)}^{m} b^{3} c d x^{2} + 5 \, {\left(b x + a\right)}^{m} a b^{2} c^{2} m - 2 \, {\left(b x + a\right)}^{m} a^{2} b c d m + 6 \, {\left(b x + a\right)}^{m} b^{3} c^{2} x + 6 \, {\left(b x + a\right)}^{m} a b^{2} c^{2} - 6 \, {\left(b x + a\right)}^{m} a^{2} b c d + 2 \, {\left(b x + a\right)}^{m} a^{3} d^{2}}{b^{3} m^{3} + 6 \, b^{3} m^{2} + 11 \, b^{3} m + 6 \, b^{3}}"," ",0,"((b*x + a)^m*b^3*d^2*m^2*x^3 + 2*(b*x + a)^m*b^3*c*d*m^2*x^2 + (b*x + a)^m*a*b^2*d^2*m^2*x^2 + 3*(b*x + a)^m*b^3*d^2*m*x^3 + (b*x + a)^m*b^3*c^2*m^2*x + 2*(b*x + a)^m*a*b^2*c*d*m^2*x + 8*(b*x + a)^m*b^3*c*d*m*x^2 + (b*x + a)^m*a*b^2*d^2*m*x^2 + 2*(b*x + a)^m*b^3*d^2*x^3 + (b*x + a)^m*a*b^2*c^2*m^2 + 5*(b*x + a)^m*b^3*c^2*m*x + 6*(b*x + a)^m*a*b^2*c*d*m*x - 2*(b*x + a)^m*a^2*b*d^2*m*x + 6*(b*x + a)^m*b^3*c*d*x^2 + 5*(b*x + a)^m*a*b^2*c^2*m - 2*(b*x + a)^m*a^2*b*c*d*m + 6*(b*x + a)^m*b^3*c^2*x + 6*(b*x + a)^m*a*b^2*c^2 - 6*(b*x + a)^m*a^2*b*c*d + 2*(b*x + a)^m*a^3*d^2)/(b^3*m^3 + 6*b^3*m^2 + 11*b^3*m + 6*b^3)","B",0
1848,1,132,0,0.858547," ","integrate((b*x+a)^m*(d*x+c),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{m} b^{2} d m x^{2} + {\left(b x + a\right)}^{m} b^{2} c m x + {\left(b x + a\right)}^{m} a b d m x + {\left(b x + a\right)}^{m} b^{2} d x^{2} + {\left(b x + a\right)}^{m} a b c m + 2 \, {\left(b x + a\right)}^{m} b^{2} c x + 2 \, {\left(b x + a\right)}^{m} a b c - {\left(b x + a\right)}^{m} a^{2} d}{b^{2} m^{2} + 3 \, b^{2} m + 2 \, b^{2}}"," ",0,"((b*x + a)^m*b^2*d*m*x^2 + (b*x + a)^m*b^2*c*m*x + (b*x + a)^m*a*b*d*m*x + (b*x + a)^m*b^2*d*x^2 + (b*x + a)^m*a*b*c*m + 2*(b*x + a)^m*b^2*c*x + 2*(b*x + a)^m*a*b*c - (b*x + a)^m*a^2*d)/(b^2*m^2 + 3*b^2*m + 2*b^2)","B",0
1849,0,0,0,0.000000," ","integrate((b*x+a)^m/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m}}{d x + c}\,{d x}"," ",0,"integrate((b*x + a)^m/(d*x + c), x)","F",0
1850,0,0,0,0.000000," ","integrate((b*x+a)^m/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m/(d*x + c)^2, x)","F",0
1851,0,0,0,0.000000," ","integrate((b*x+a)^m/(d*x+c)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^m/(d*x + c)^3, x)","F",0
1852,1,833,0,0.979412," ","integrate((b*x+a)^3*(d*x+c)^n,x, algorithm=""giac"")","\frac{{\left(d x + c\right)}^{n} b^{3} d^{4} n^{3} x^{4} + {\left(d x + c\right)}^{n} b^{3} c d^{3} n^{3} x^{3} + 3 \, {\left(d x + c\right)}^{n} a b^{2} d^{4} n^{3} x^{3} + 6 \, {\left(d x + c\right)}^{n} b^{3} d^{4} n^{2} x^{4} + 3 \, {\left(d x + c\right)}^{n} a b^{2} c d^{3} n^{3} x^{2} + 3 \, {\left(d x + c\right)}^{n} a^{2} b d^{4} n^{3} x^{2} + 3 \, {\left(d x + c\right)}^{n} b^{3} c d^{3} n^{2} x^{3} + 21 \, {\left(d x + c\right)}^{n} a b^{2} d^{4} n^{2} x^{3} + 11 \, {\left(d x + c\right)}^{n} b^{3} d^{4} n x^{4} + 3 \, {\left(d x + c\right)}^{n} a^{2} b c d^{3} n^{3} x + {\left(d x + c\right)}^{n} a^{3} d^{4} n^{3} x - 3 \, {\left(d x + c\right)}^{n} b^{3} c^{2} d^{2} n^{2} x^{2} + 15 \, {\left(d x + c\right)}^{n} a b^{2} c d^{3} n^{2} x^{2} + 24 \, {\left(d x + c\right)}^{n} a^{2} b d^{4} n^{2} x^{2} + 2 \, {\left(d x + c\right)}^{n} b^{3} c d^{3} n x^{3} + 42 \, {\left(d x + c\right)}^{n} a b^{2} d^{4} n x^{3} + 6 \, {\left(d x + c\right)}^{n} b^{3} d^{4} x^{4} + {\left(d x + c\right)}^{n} a^{3} c d^{3} n^{3} - 6 \, {\left(d x + c\right)}^{n} a b^{2} c^{2} d^{2} n^{2} x + 21 \, {\left(d x + c\right)}^{n} a^{2} b c d^{3} n^{2} x + 9 \, {\left(d x + c\right)}^{n} a^{3} d^{4} n^{2} x - 3 \, {\left(d x + c\right)}^{n} b^{3} c^{2} d^{2} n x^{2} + 12 \, {\left(d x + c\right)}^{n} a b^{2} c d^{3} n x^{2} + 57 \, {\left(d x + c\right)}^{n} a^{2} b d^{4} n x^{2} + 24 \, {\left(d x + c\right)}^{n} a b^{2} d^{4} x^{3} - 3 \, {\left(d x + c\right)}^{n} a^{2} b c^{2} d^{2} n^{2} + 9 \, {\left(d x + c\right)}^{n} a^{3} c d^{3} n^{2} + 6 \, {\left(d x + c\right)}^{n} b^{3} c^{3} d n x - 24 \, {\left(d x + c\right)}^{n} a b^{2} c^{2} d^{2} n x + 36 \, {\left(d x + c\right)}^{n} a^{2} b c d^{3} n x + 26 \, {\left(d x + c\right)}^{n} a^{3} d^{4} n x + 36 \, {\left(d x + c\right)}^{n} a^{2} b d^{4} x^{2} + 6 \, {\left(d x + c\right)}^{n} a b^{2} c^{3} d n - 21 \, {\left(d x + c\right)}^{n} a^{2} b c^{2} d^{2} n + 26 \, {\left(d x + c\right)}^{n} a^{3} c d^{3} n + 24 \, {\left(d x + c\right)}^{n} a^{3} d^{4} x - 6 \, {\left(d x + c\right)}^{n} b^{3} c^{4} + 24 \, {\left(d x + c\right)}^{n} a b^{2} c^{3} d - 36 \, {\left(d x + c\right)}^{n} a^{2} b c^{2} d^{2} + 24 \, {\left(d x + c\right)}^{n} a^{3} c d^{3}}{d^{4} n^{4} + 10 \, d^{4} n^{3} + 35 \, d^{4} n^{2} + 50 \, d^{4} n + 24 \, d^{4}}"," ",0,"((d*x + c)^n*b^3*d^4*n^3*x^4 + (d*x + c)^n*b^3*c*d^3*n^3*x^3 + 3*(d*x + c)^n*a*b^2*d^4*n^3*x^3 + 6*(d*x + c)^n*b^3*d^4*n^2*x^4 + 3*(d*x + c)^n*a*b^2*c*d^3*n^3*x^2 + 3*(d*x + c)^n*a^2*b*d^4*n^3*x^2 + 3*(d*x + c)^n*b^3*c*d^3*n^2*x^3 + 21*(d*x + c)^n*a*b^2*d^4*n^2*x^3 + 11*(d*x + c)^n*b^3*d^4*n*x^4 + 3*(d*x + c)^n*a^2*b*c*d^3*n^3*x + (d*x + c)^n*a^3*d^4*n^3*x - 3*(d*x + c)^n*b^3*c^2*d^2*n^2*x^2 + 15*(d*x + c)^n*a*b^2*c*d^3*n^2*x^2 + 24*(d*x + c)^n*a^2*b*d^4*n^2*x^2 + 2*(d*x + c)^n*b^3*c*d^3*n*x^3 + 42*(d*x + c)^n*a*b^2*d^4*n*x^3 + 6*(d*x + c)^n*b^3*d^4*x^4 + (d*x + c)^n*a^3*c*d^3*n^3 - 6*(d*x + c)^n*a*b^2*c^2*d^2*n^2*x + 21*(d*x + c)^n*a^2*b*c*d^3*n^2*x + 9*(d*x + c)^n*a^3*d^4*n^2*x - 3*(d*x + c)^n*b^3*c^2*d^2*n*x^2 + 12*(d*x + c)^n*a*b^2*c*d^3*n*x^2 + 57*(d*x + c)^n*a^2*b*d^4*n*x^2 + 24*(d*x + c)^n*a*b^2*d^4*x^3 - 3*(d*x + c)^n*a^2*b*c^2*d^2*n^2 + 9*(d*x + c)^n*a^3*c*d^3*n^2 + 6*(d*x + c)^n*b^3*c^3*d*n*x - 24*(d*x + c)^n*a*b^2*c^2*d^2*n*x + 36*(d*x + c)^n*a^2*b*c*d^3*n*x + 26*(d*x + c)^n*a^3*d^4*n*x + 36*(d*x + c)^n*a^2*b*d^4*x^2 + 6*(d*x + c)^n*a*b^2*c^3*d*n - 21*(d*x + c)^n*a^2*b*c^2*d^2*n + 26*(d*x + c)^n*a^3*c*d^3*n + 24*(d*x + c)^n*a^3*d^4*x - 6*(d*x + c)^n*b^3*c^4 + 24*(d*x + c)^n*a*b^2*c^3*d - 36*(d*x + c)^n*a^2*b*c^2*d^2 + 24*(d*x + c)^n*a^3*c*d^3)/(d^4*n^4 + 10*d^4*n^3 + 35*d^4*n^2 + 50*d^4*n + 24*d^4)","B",0
1853,1,385,0,0.925021," ","integrate((b*x+a)^2*(d*x+c)^n,x, algorithm=""giac"")","\frac{{\left(d x + c\right)}^{n} b^{2} d^{3} n^{2} x^{3} + {\left(d x + c\right)}^{n} b^{2} c d^{2} n^{2} x^{2} + 2 \, {\left(d x + c\right)}^{n} a b d^{3} n^{2} x^{2} + 3 \, {\left(d x + c\right)}^{n} b^{2} d^{3} n x^{3} + 2 \, {\left(d x + c\right)}^{n} a b c d^{2} n^{2} x + {\left(d x + c\right)}^{n} a^{2} d^{3} n^{2} x + {\left(d x + c\right)}^{n} b^{2} c d^{2} n x^{2} + 8 \, {\left(d x + c\right)}^{n} a b d^{3} n x^{2} + 2 \, {\left(d x + c\right)}^{n} b^{2} d^{3} x^{3} + {\left(d x + c\right)}^{n} a^{2} c d^{2} n^{2} - 2 \, {\left(d x + c\right)}^{n} b^{2} c^{2} d n x + 6 \, {\left(d x + c\right)}^{n} a b c d^{2} n x + 5 \, {\left(d x + c\right)}^{n} a^{2} d^{3} n x + 6 \, {\left(d x + c\right)}^{n} a b d^{3} x^{2} - 2 \, {\left(d x + c\right)}^{n} a b c^{2} d n + 5 \, {\left(d x + c\right)}^{n} a^{2} c d^{2} n + 6 \, {\left(d x + c\right)}^{n} a^{2} d^{3} x + 2 \, {\left(d x + c\right)}^{n} b^{2} c^{3} - 6 \, {\left(d x + c\right)}^{n} a b c^{2} d + 6 \, {\left(d x + c\right)}^{n} a^{2} c d^{2}}{d^{3} n^{3} + 6 \, d^{3} n^{2} + 11 \, d^{3} n + 6 \, d^{3}}"," ",0,"((d*x + c)^n*b^2*d^3*n^2*x^3 + (d*x + c)^n*b^2*c*d^2*n^2*x^2 + 2*(d*x + c)^n*a*b*d^3*n^2*x^2 + 3*(d*x + c)^n*b^2*d^3*n*x^3 + 2*(d*x + c)^n*a*b*c*d^2*n^2*x + (d*x + c)^n*a^2*d^3*n^2*x + (d*x + c)^n*b^2*c*d^2*n*x^2 + 8*(d*x + c)^n*a*b*d^3*n*x^2 + 2*(d*x + c)^n*b^2*d^3*x^3 + (d*x + c)^n*a^2*c*d^2*n^2 - 2*(d*x + c)^n*b^2*c^2*d*n*x + 6*(d*x + c)^n*a*b*c*d^2*n*x + 5*(d*x + c)^n*a^2*d^3*n*x + 6*(d*x + c)^n*a*b*d^3*x^2 - 2*(d*x + c)^n*a*b*c^2*d*n + 5*(d*x + c)^n*a^2*c*d^2*n + 6*(d*x + c)^n*a^2*d^3*x + 2*(d*x + c)^n*b^2*c^3 - 6*(d*x + c)^n*a*b*c^2*d + 6*(d*x + c)^n*a^2*c*d^2)/(d^3*n^3 + 6*d^3*n^2 + 11*d^3*n + 6*d^3)","B",0
1854,1,132,0,0.998796," ","integrate((b*x+a)*(d*x+c)^n,x, algorithm=""giac"")","\frac{{\left(d x + c\right)}^{n} b d^{2} n x^{2} + {\left(d x + c\right)}^{n} b c d n x + {\left(d x + c\right)}^{n} a d^{2} n x + {\left(d x + c\right)}^{n} b d^{2} x^{2} + {\left(d x + c\right)}^{n} a c d n + 2 \, {\left(d x + c\right)}^{n} a d^{2} x - {\left(d x + c\right)}^{n} b c^{2} + 2 \, {\left(d x + c\right)}^{n} a c d}{d^{2} n^{2} + 3 \, d^{2} n + 2 \, d^{2}}"," ",0,"((d*x + c)^n*b*d^2*n*x^2 + (d*x + c)^n*b*c*d*n*x + (d*x + c)^n*a*d^2*n*x + (d*x + c)^n*b*d^2*x^2 + (d*x + c)^n*a*c*d*n + 2*(d*x + c)^n*a*d^2*x - (d*x + c)^n*b*c^2 + 2*(d*x + c)^n*a*c*d)/(d^2*n^2 + 3*d^2*n + 2*d^2)","B",0
1855,1,18,0,1.018159," ","integrate((d*x+c)^n,x, algorithm=""giac"")","\frac{{\left(d x + c\right)}^{n + 1}}{d {\left(n + 1\right)}}"," ",0,"(d*x + c)^(n + 1)/(d*(n + 1))","A",0
1856,0,0,0,0.000000," ","integrate((d*x+c)^n/(b*x+a),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{n}}{b x + a}\,{d x}"," ",0,"integrate((d*x + c)^n/(b*x + a), x)","F",0
1857,0,0,0,0.000000," ","integrate((d*x+c)^n/(b*x+a)^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{n}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^n/(b*x + a)^2, x)","F",0
1858,0,0,0,0.000000," ","integrate((d*x+c)^n/(b*x+a)^3,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{n}}{{\left(b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((d*x + c)^n/(b*x + a)^3, x)","F",0
1859,0,0,0,0.000000," ","integrate((b*x+a)^(-4+n)/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n - 4}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^(n - 4)/(d*x + c)^n, x)","F",0
1860,0,0,0,0.000000," ","integrate((b*x+a)^(-3+n)/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n - 3}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^(n - 3)/(d*x + c)^n, x)","F",0
1861,0,0,0,0.000000," ","integrate((b*x+a)^(-2+n)/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n - 2}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^(n - 2)/(d*x + c)^n, x)","F",0
1862,0,0,0,0.000000," ","integrate((b*x+a)^(-1+n)/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n - 1}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^(n - 1)/(d*x + c)^n, x)","F",0
1863,0,0,0,0.000000," ","integrate((b*x+a)^n/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^n/(d*x + c)^n, x)","F",0
1864,0,0,0,0.000000," ","integrate((b*x+a)^(1+n)/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n + 1}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^(n + 1)/(d*x + c)^n, x)","F",0
1865,0,0,0,0.000000," ","integrate((b*x+a)^(2+n)/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n + 2}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^(n + 2)/(d*x + c)^n, x)","F",0
1866,0,0,0,0.000000," ","integrate((d*x+c)^n/((b*x+a)^n),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{n}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate((d*x + c)^n/(b*x + a)^n, x)","F",0
1867,0,0,0,0.000000," ","integrate((b*x+a)^(-1-n)*(d*x+c)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{-n - 1} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^(-n - 1)*(d*x + c)^n, x)","F",0
1868,0,0,0,0.000000," ","integrate((b*x+a)^(-2-n)*(d*x+c)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{-n - 2} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^(-n - 2)*(d*x + c)^n, x)","F",0
1869,0,0,0,0.000000," ","integrate((b*x+a)^(-3-n)*(d*x+c)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{-n - 3} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^(-n - 3)*(d*x + c)^n, x)","F",0
1870,0,0,0,0.000000," ","integrate((b*x+a)^(-4-n)*(d*x+c)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{-n - 4} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^(-n - 4)*(d*x + c)^n, x)","F",0
1871,0,0,0,0.000000," ","integrate((b*x+a)^(-5-n)*(d*x+c)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{-n - 5} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^(-n - 5)*(d*x + c)^n, x)","F",0
1872,0,0,0,0.000000," ","integrate((b*x+a)^n/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^n/(d*x + c)^n, x)","F",0
1873,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^(-1-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 1}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^(-n - 1), x)","F",0
1874,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^(-2-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 2}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^(-n - 2), x)","F",0
1875,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^(-3-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 3}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^(-n - 3), x)","F",0
1876,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^(-4-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 4}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^(-n - 4), x)","F",0
1877,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^(-5-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{-n - 5}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^(-n - 5), x)","F",0
1878,0,0,0,0.000000," ","integrate((b*x+a)^(-2+n)*(d*x+c)^(1-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n - 2} {\left(d x + c\right)}^{-n + 1}\,{d x}"," ",0,"integrate((b*x + a)^(n - 2)*(d*x + c)^(-n + 1), x)","F",0
1879,0,0,0,0.000000," ","integrate((b*x+a)^(1+n)*(d*x+c)^(-1-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n + 1} {\left(d x + c\right)}^{-n - 1}\,{d x}"," ",0,"integrate((b*x + a)^(n + 1)*(d*x + c)^(-n - 1), x)","F",0
1880,0,0,0,0.000000," ","integrate((b*x+a)^m/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m}}{d x + c}\,{d x}"," ",0,"integrate((b*x + a)^m/(d*x + c), x)","F",0
1881,1,78,0,0.923389," ","integrate(1/(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\frac{b d \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}} - \frac{b}{{\left(b^{2} c - a b d\right)} {\left(b x + a\right)}}"," ",0,"b*d*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2) - b/((b^2*c - a*b*d)*(b*x + a))","A",0
1882,0,0,0,0.000000," ","integrate((b*x+a)^m*(a*c*(1+m)+b*c*(2+m)*x)^(-3-m),x, algorithm=""giac"")","\int {\left(b c {\left(m + 2\right)} x + a c {\left(m + 1\right)}\right)}^{-m - 3} {\left(b x + a\right)}^{m}\,{d x}"," ",0,"integrate((b*c*(m + 2)*x + a*c*(m + 1))^(-m - 3)*(b*x + a)^m, x)","F",0
1883,0,0,0,0.000000," ","integrate((b*x+a)^(-1-b*c/(-a*d+b*c))*(d*x+c)^(-1+a*d/(-a*d+b*c)),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{-\frac{b c}{b c - a d} - 1} {\left(d x + c\right)}^{\frac{a d}{b c - a d} - 1}\,{d x}"," ",0,"integrate((b*x + a)^(-b*c/(b*c - a*d) - 1)*(d*x + c)^(a*d/(b*c - a*d) - 1), x)","F",0
1884,0,0,0,0.000000," ","integrate((b*x+a)^((a*d-2*b*c)/(-a*d+b*c))*(d*x+c)^((-2*a*d+b*c)/(a*d-b*c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{2 \, b c - a d}{b c - a d}} {\left(d x + c\right)}^{\frac{b c - 2 \, a d}{b c - a d}}}\,{d x}"," ",0,"integrate(1/((b*x + a)^((2*b*c - a*d)/(b*c - a*d))*(d*x + c)^((b*c - 2*a*d)/(b*c - a*d))), x)","F",0
1885,0,0,0,0.000000," ","integrate((1-x)^n/(1+x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-x + 1\right)}^{n}}{\sqrt{x + 1}}\,{d x}"," ",0,"integrate((-x + 1)^n/sqrt(x + 1), x)","F",0
1886,0,0,0,0.000000," ","integrate((1+x)^n/(1-x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(x + 1\right)}^{n}}{\sqrt{-x + 1}}\,{d x}"," ",0,"integrate((x + 1)^n/sqrt(-x + 1), x)","F",0
1887,0,0,0,0.000000," ","integrate((1-x)^n*(1+x)^(7/3),x, algorithm=""giac"")","\int {\left(x + 1\right)}^{\frac{7}{3}} {\left(-x + 1\right)}^{n}\,{d x}"," ",0,"integrate((x + 1)^(7/3)*(-x + 1)^n, x)","F",0
1888,0,0,0,0.000000," ","integrate((1-x)^(7/3)*(1+x)^n,x, algorithm=""giac"")","\int {\left(x + 1\right)}^{n} {\left(-x + 1\right)}^{\frac{7}{3}}\,{d x}"," ",0,"integrate((x + 1)^n*(-x + 1)^(7/3), x)","F",0
1889,0,0,0,0.000000," ","integrate((2+3*x)^m/((1+2*x)^m),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{m}}{{\left(2 \, x + 1\right)}^{m}}\,{d x}"," ",0,"integrate((3*x + 2)^m/(2*x + 1)^m, x)","F",0
1890,0,0,0,0.000000," ","integrate((d*(b*x+a)/(a*d-b*c))^m*(d*x+c)^n,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{n} \left(-\frac{{\left(b x + a\right)} d}{b c - a d}\right)^{m}\,{d x}"," ",0,"integrate((d*x + c)^n*(-(b*x + a)*d/(b*c - a*d))^m, x)","F",0
1891,1,22,0,1.008954," ","integrate(d*x^3+c*x^2+b*x+a,x, algorithm=""giac"")","\frac{1}{4} \, d x^{4} + \frac{1}{3} \, c x^{3} + \frac{1}{2} \, b x^{2} + a x"," ",0,"1/4*d*x^4 + 1/3*c*x^3 + 1/2*b*x^2 + a*x","A",0
1892,1,11,0,1.083982," ","integrate(x^4-x^3,x, algorithm=""giac"")","\frac{1}{5} \, x^{5} - \frac{1}{4} \, x^{4}"," ",0,"1/5*x^5 - 1/4*x^4","A",0
1893,1,9,0,0.940693," ","integrate(x^5-1,x, algorithm=""giac"")","\frac{1}{6} \, x^{6} - x"," ",0,"1/6*x^6 - x","A",0
1894,1,9,0,0.960948," ","integrate(7+4*x,x, algorithm=""giac"")","2 \, x^{2} + 7 \, x"," ",0,"2*x^2 + 7*x","A",0
1895,1,12,0,1.059318," ","integrate(pi*x^3+4*x,x, algorithm=""giac"")","\frac{1}{4} \, \pi x^{4} + 2 \, x^{2}"," ",0,"1/4*pi*x^4 + 2*x^2","A",0
1896,1,9,0,1.104044," ","integrate(5*x^2+2*x,x, algorithm=""giac"")","\frac{5}{3} \, x^{3} + x^{2}"," ",0,"5/3*x^3 + x^2","A",0
1897,1,11,0,0.886384," ","integrate(1/2*x^2+1/3*x^3,x, algorithm=""giac"")","\frac{1}{12} \, x^{4} + \frac{1}{6} \, x^{3}"," ",0,"1/12*x^4 + 1/6*x^3","A",0
1898,1,14,0,0.848035," ","integrate(2*x^2-5*x+3,x, algorithm=""giac"")","\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
1899,1,16,0,1.098075," ","integrate(x^3+x^2-2*x,x, algorithm=""giac"")","\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
1900,1,12,0,0.959359," ","integrate(-3*x^5-x^2+1,x, algorithm=""giac"")","-\frac{1}{2} \, x^{6} - \frac{1}{3} \, x^{3} + x"," ",0,"-1/2*x^6 - 1/3*x^3 + x","A",0
1901,1,13,0,1.004674," ","integrate(4*x^3+3*x^2+2*x+5,x, algorithm=""giac"")","x^{4} + x^{3} + x^{2} + 5 \, x"," ",0,"x^4 + x^3 + x^2 + 5*x","A",0
1902,1,21,0,0.848407," ","integrate(a+d/x^3+c/x^2+b/x,x, algorithm=""giac"")","a x + b \log\left({\left| x \right|}\right) - \frac{c}{x} - \frac{d}{2 \, x^{2}}"," ",0,"a*x + b*log(abs(x)) - c/x - 1/2*d/x^2","A",0
1903,1,16,0,0.809073," ","integrate(1/x^5+x+x^5,x, algorithm=""giac"")","\frac{1}{6} \, x^{6} + \frac{1}{2} \, x^{2} - \frac{1}{4 \, x^{4}}"," ",0,"1/6*x^6 + 1/2*x^2 - 1/4/x^4","A",0
1904,1,14,0,1.081575," ","integrate(1/x^3+1/x^2+1/x,x, algorithm=""giac"")","-\frac{1}{x} - \frac{1}{2 \, x^{2}} + \log\left({\left| x \right|}\right)"," ",0,"-1/x - 1/2/x^2 + log(abs(x))","A",0
1905,1,11,0,1.119310," ","integrate(-2/x^2+3/x,x, algorithm=""giac"")","\frac{2}{x} + 3 \, \log\left({\left| x \right|}\right)"," ",0,"2/x + 3*log(abs(x))","A",0
1906,1,11,0,1.075305," ","integrate(-1/7/x^6+x^6,x, algorithm=""giac"")","\frac{1}{7} \, x^{7} + \frac{1}{35 \, x^{5}}"," ",0,"1/7*x^7 + 1/35/x^5","A",0
1907,1,10,0,0.887959," ","integrate(1+1/x+x,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} + x + \log\left({\left| x \right|}\right)"," ",0,"1/2*x^2 + x + log(abs(x))","A",0
1908,1,11,0,0.902077," ","integrate(-3/x^3+4/x^2,x, algorithm=""giac"")","-\frac{4}{x} + \frac{3}{2 \, x^{2}}"," ",0,"-4/x + 3/2/x^2","A",0
1909,1,12,0,1.014303," ","integrate(1/x+2*x+x^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} + x^{2} + \log\left({\left| x \right|}\right)"," ",0,"1/3*x^3 + x^2 + log(abs(x))","A",0
1910,1,11,0,1.063449," ","integrate(x^(5/6)-x^3,x, algorithm=""giac"")","-\frac{1}{4} \, x^{4} + \frac{6}{11} \, x^{\frac{11}{6}}"," ",0,"-1/4*x^4 + 6/11*x^(11/6)","A",0
1911,1,9,0,0.854963," ","integrate(33+x^(1/33),x, algorithm=""giac"")","\frac{33}{34} \, x^{\frac{34}{33}} + 33 \, x"," ",0,"33/34*x^(34/33) + 33*x","A",0
1912,1,9,0,1.077330," ","integrate(1/2/x^(1/2)+2*x^(1/2),x, algorithm=""giac"")","\frac{4}{3} \, x^{\frac{3}{2}} + \sqrt{x}"," ",0,"4/3*x^(3/2) + sqrt(x)","A",0
1913,1,14,0,0.954728," ","integrate(-1/x^2+10/x+6*x^(1/2),x, algorithm=""giac"")","4 \, x^{\frac{3}{2}} + \frac{1}{x} + 10 \, \log\left({\left| x \right|}\right)"," ",0,"4*x^(3/2) + 1/x + 10*log(abs(x))","A",0
1914,1,11,0,1.137753," ","integrate(1/x^(3/2)+x^(3/2),x, algorithm=""giac"")","\frac{2}{5} \, x^{\frac{5}{2}} - \frac{2}{\sqrt{x}}"," ",0,"2/5*x^(5/2) - 2/sqrt(x)","A",0
1915,1,11,0,0.892274," ","integrate(-5*x^(3/2)+7*x^(5/2),x, algorithm=""giac"")","2 \, x^{\frac{7}{2}} - 2 \, x^{\frac{5}{2}}"," ",0,"2*x^(7/2) - 2*x^(5/2)","A",0
1916,1,16,0,1.088623," ","integrate(-1/2*x+2/x^(1/2)+x^(1/2),x, algorithm=""giac"")","-\frac{1}{4} \, x^{2} + \frac{2}{3} \, x^{\frac{3}{2}} + 4 \, \sqrt{x}"," ",0,"-1/4*x^2 + 2/3*x^(3/2) + 4*sqrt(x)","A",0
1917,1,16,0,0.824147," ","integrate(-2/x+x^(3/2)+1/5*x^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, x^{\frac{5}{2}} + \frac{2}{15} \, x^{\frac{3}{2}} - 2 \, \log\left({\left| x \right|}\right)"," ",0,"2/5*x^(5/2) + 2/15*x^(3/2) - 2*log(abs(x))","A",0
