1,1,34,0,1.121592," ","integrate(x^2/(-1+x)^2/(1+x)^2,x, algorithm=""giac"")","-\frac{1}{4 \, {\left(x + 1\right)}} + \frac{1}{8 \, {\left(\frac{2}{x + 1} - 1\right)}} + \frac{1}{4} \, \log\left({\left| -\frac{2}{x + 1} + 1 \right|}\right)"," ",0,"-1/4/(x + 1) + 1/8/(2/(x + 1) - 1) + 1/4*log(abs(-2/(x + 1) + 1))","B",0
2,1,47,0,1.070718," ","integrate(x^2*(b*x+a)*(-b*c*x+a*c)^3,x, algorithm=""giac"")","-\frac{1}{7} \, b^{4} c^{3} x^{7} + \frac{1}{3} \, a b^{3} c^{3} x^{6} - \frac{1}{2} \, a^{3} b c^{3} x^{4} + \frac{1}{3} \, a^{4} c^{3} x^{3}"," ",0,"-1/7*b^4*c^3*x^7 + 1/3*a*b^3*c^3*x^6 - 1/2*a^3*b*c^3*x^4 + 1/3*a^4*c^3*x^3","A",0
3,1,47,0,0.930071," ","integrate(x*(b*x+a)*(-b*c*x+a*c)^3,x, algorithm=""giac"")","-\frac{1}{6} \, b^{4} c^{3} x^{6} + \frac{2}{5} \, a b^{3} c^{3} x^{5} - \frac{2}{3} \, a^{3} b c^{3} x^{3} + \frac{1}{2} \, a^{4} c^{3} x^{2}"," ",0,"-1/6*b^4*c^3*x^6 + 2/5*a*b^3*c^3*x^5 - 2/3*a^3*b*c^3*x^3 + 1/2*a^4*c^3*x^2","A",0
4,1,44,0,1.188020," ","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
5,1,44,0,1.070886," ","integrate((b*x+a)*(-b*c*x+a*c)^3/x,x, algorithm=""giac"")","-\frac{1}{4} \, b^{4} c^{3} x^{4} + \frac{2}{3} \, a b^{3} c^{3} x^{3} - 2 \, a^{3} b c^{3} x + a^{4} c^{3} \log\left({\left| x \right|}\right)"," ",0,"-1/4*b^4*c^3*x^4 + 2/3*a*b^3*c^3*x^3 - 2*a^3*b*c^3*x + a^4*c^3*log(abs(x))","A",0
6,1,46,0,0.957907," ","integrate((b*x+a)*(-b*c*x+a*c)^3/x^2,x, algorithm=""giac"")","-\frac{1}{3} \, b^{4} c^{3} x^{3} + a b^{3} c^{3} x^{2} - 2 \, a^{3} b c^{3} \log\left({\left| x \right|}\right) - \frac{a^{4} c^{3}}{x}"," ",0,"-1/3*b^4*c^3*x^3 + a*b^3*c^3*x^2 - 2*a^3*b*c^3*log(abs(x)) - a^4*c^3/x","A",0
7,1,46,0,0.882546," ","integrate((b*x+a)*(-b*c*x+a*c)^3/x^3,x, algorithm=""giac"")","-\frac{1}{2} \, b^{4} c^{3} x^{2} + 2 \, a b^{3} c^{3} x + \frac{4 \, a^{3} b c^{3} x - a^{4} c^{3}}{2 \, x^{2}}"," ",0,"-1/2*b^4*c^3*x^2 + 2*a*b^3*c^3*x + 1/2*(4*a^3*b*c^3*x - a^4*c^3)/x^2","B",0
8,1,46,0,1.145413," ","integrate((b*x+a)*(-b*c*x+a*c)^3/x^4,x, algorithm=""giac"")","-b^{4} c^{3} x + 2 \, a b^{3} c^{3} \log\left({\left| x \right|}\right) + \frac{3 \, a^{3} b c^{3} x - a^{4} c^{3}}{3 \, x^{3}}"," ",0,"-b^4*c^3*x + 2*a*b^3*c^3*log(abs(x)) + 1/3*(3*a^3*b*c^3*x - a^4*c^3)/x^3","A",0
9,1,48,0,0.951506," ","integrate((b*x+a)*(-b*c*x+a*c)^3/x^5,x, algorithm=""giac"")","-b^{4} c^{3} \log\left({\left| x \right|}\right) - \frac{24 \, a b^{3} c^{3} x^{3} - 8 \, a^{3} b c^{3} x + 3 \, a^{4} c^{3}}{12 \, x^{4}}"," ",0,"-b^4*c^3*log(abs(x)) - 1/12*(24*a*b^3*c^3*x^3 - 8*a^3*b*c^3*x + 3*a^4*c^3)/x^4","A",0
10,1,47,0,0.957111," ","integrate((b*x+a)*(-b*c*x+a*c)^3/x^6,x, algorithm=""giac"")","\frac{10 \, b^{4} c^{3} x^{4} - 10 \, a b^{3} c^{3} x^{3} + 5 \, a^{3} b c^{3} x - 2 \, a^{4} c^{3}}{10 \, x^{5}}"," ",0,"1/10*(10*b^4*c^3*x^4 - 10*a*b^3*c^3*x^3 + 5*a^3*b*c^3*x - 2*a^4*c^3)/x^5","A",0
11,1,47,0,1.035942," ","integrate((b*x+a)*(-b*c*x+a*c)^3/x^7,x, algorithm=""giac"")","\frac{15 \, b^{4} c^{3} x^{4} - 20 \, a b^{3} c^{3} x^{3} + 12 \, a^{3} b c^{3} x - 5 \, a^{4} c^{3}}{30 \, x^{6}}"," ",0,"1/30*(15*b^4*c^3*x^4 - 20*a*b^3*c^3*x^3 + 12*a^3*b*c^3*x - 5*a^4*c^3)/x^6","A",0
12,1,47,0,1.008173," ","integrate((b*x+a)*(-b*c*x+a*c)^3/x^8,x, algorithm=""giac"")","\frac{14 \, b^{4} c^{3} x^{4} - 21 \, a b^{3} c^{3} x^{3} + 14 \, a^{3} b c^{3} x - 6 \, a^{4} c^{3}}{42 \, x^{7}}"," ",0,"1/42*(14*b^4*c^3*x^4 - 21*a*b^3*c^3*x^3 + 14*a^3*b*c^3*x - 6*a^4*c^3)/x^7","A",0
13,1,75,0,1.112656," ","integrate(x^4*(b*x+a)*(-b*c*x+a*c)^4,x, algorithm=""giac"")","\frac{1}{10} \, b^{5} c^{4} x^{10} - \frac{1}{3} \, a b^{4} c^{4} x^{9} + \frac{1}{4} \, a^{2} b^{3} c^{4} x^{8} + \frac{2}{7} \, a^{3} b^{2} c^{4} x^{7} - \frac{1}{2} \, a^{4} b c^{4} x^{6} + \frac{1}{5} \, a^{5} c^{4} x^{5}"," ",0,"1/10*b^5*c^4*x^10 - 1/3*a*b^4*c^4*x^9 + 1/4*a^2*b^3*c^4*x^8 + 2/7*a^3*b^2*c^4*x^7 - 1/2*a^4*b*c^4*x^6 + 1/5*a^5*c^4*x^5","A",0
14,1,75,0,0.831531," ","integrate(x^3*(b*x+a)*(-b*c*x+a*c)^4,x, algorithm=""giac"")","\frac{1}{9} \, b^{5} c^{4} x^{9} - \frac{3}{8} \, a b^{4} c^{4} x^{8} + \frac{2}{7} \, a^{2} b^{3} c^{4} x^{7} + \frac{1}{3} \, a^{3} b^{2} c^{4} x^{6} - \frac{3}{5} \, a^{4} b c^{4} x^{5} + \frac{1}{4} \, a^{5} c^{4} x^{4}"," ",0,"1/9*b^5*c^4*x^9 - 3/8*a*b^4*c^4*x^8 + 2/7*a^2*b^3*c^4*x^7 + 1/3*a^3*b^2*c^4*x^6 - 3/5*a^4*b*c^4*x^5 + 1/4*a^5*c^4*x^4","A",0
15,1,75,0,0.979695," ","integrate(x^2*(b*x+a)*(-b*c*x+a*c)^4,x, algorithm=""giac"")","\frac{1}{8} \, b^{5} c^{4} x^{8} - \frac{3}{7} \, a b^{4} c^{4} x^{7} + \frac{1}{3} \, a^{2} b^{3} c^{4} x^{6} + \frac{2}{5} \, a^{3} b^{2} c^{4} x^{5} - \frac{3}{4} \, a^{4} b c^{4} x^{4} + \frac{1}{3} \, a^{5} c^{4} x^{3}"," ",0,"1/8*b^5*c^4*x^8 - 3/7*a*b^4*c^4*x^7 + 1/3*a^2*b^3*c^4*x^6 + 2/5*a^3*b^2*c^4*x^5 - 3/4*a^4*b*c^4*x^4 + 1/3*a^5*c^4*x^3","A",0
16,1,75,0,0.998217," ","integrate(x*(b*x+a)*(-b*c*x+a*c)^4,x, algorithm=""giac"")","\frac{1}{7} \, b^{5} c^{4} x^{7} - \frac{1}{2} \, a b^{4} c^{4} x^{6} + \frac{2}{5} \, a^{2} b^{3} c^{4} x^{5} + \frac{1}{2} \, a^{3} b^{2} c^{4} x^{4} - a^{4} b c^{4} x^{3} + \frac{1}{2} \, a^{5} c^{4} x^{2}"," ",0,"1/7*b^5*c^4*x^7 - 1/2*a*b^4*c^4*x^6 + 2/5*a^2*b^3*c^4*x^5 + 1/2*a^3*b^2*c^4*x^4 - a^4*b*c^4*x^3 + 1/2*a^5*c^4*x^2","A",0
17,1,72,0,1.227087," ","integrate((b*x+a)*(-b*c*x+a*c)^4,x, algorithm=""giac"")","\frac{1}{6} \, b^{5} c^{4} x^{6} - \frac{3}{5} \, a b^{4} c^{4} x^{5} + \frac{1}{2} \, a^{2} b^{3} c^{4} x^{4} + \frac{2}{3} \, a^{3} b^{2} c^{4} x^{3} - \frac{3}{2} \, a^{4} b c^{4} x^{2} + a^{5} c^{4} x"," ",0,"1/6*b^5*c^4*x^6 - 3/5*a*b^4*c^4*x^5 + 1/2*a^2*b^3*c^4*x^4 + 2/3*a^3*b^2*c^4*x^3 - 3/2*a^4*b*c^4*x^2 + a^5*c^4*x","A",0
18,1,71,0,1.098804," ","integrate((b*x+a)*(-b*c*x+a*c)^4/x,x, algorithm=""giac"")","\frac{1}{5} \, b^{5} c^{4} x^{5} - \frac{3}{4} \, a b^{4} c^{4} x^{4} + \frac{2}{3} \, a^{2} b^{3} c^{4} x^{3} + a^{3} b^{2} c^{4} x^{2} - 3 \, a^{4} b c^{4} x + a^{5} c^{4} \log\left({\left| x \right|}\right)"," ",0,"1/5*b^5*c^4*x^5 - 3/4*a*b^4*c^4*x^4 + 2/3*a^2*b^3*c^4*x^3 + a^3*b^2*c^4*x^2 - 3*a^4*b*c^4*x + a^5*c^4*log(abs(x))","A",0
19,1,72,0,0.790248," ","integrate((b*x+a)*(-b*c*x+a*c)^4/x^2,x, algorithm=""giac"")","\frac{1}{4} \, b^{5} c^{4} x^{4} - a b^{4} c^{4} x^{3} + a^{2} b^{3} c^{4} x^{2} + 2 \, a^{3} b^{2} c^{4} x - 3 \, a^{4} b c^{4} \log\left({\left| x \right|}\right) - \frac{a^{5} c^{4}}{x}"," ",0,"1/4*b^5*c^4*x^4 - a*b^4*c^4*x^3 + a^2*b^3*c^4*x^2 + 2*a^3*b^2*c^4*x - 3*a^4*b*c^4*log(abs(x)) - a^5*c^4/x","A",0
20,1,74,0,0.984561," ","integrate((b*x+a)*(-b*c*x+a*c)^4/x^3,x, algorithm=""giac"")","\frac{1}{3} \, b^{5} c^{4} x^{3} - \frac{3}{2} \, a b^{4} c^{4} x^{2} + 2 \, a^{2} b^{3} c^{4} x + 2 \, a^{3} b^{2} c^{4} \log\left({\left| x \right|}\right) + \frac{6 \, a^{4} b c^{4} x - a^{5} c^{4}}{2 \, x^{2}}"," ",0,"1/3*b^5*c^4*x^3 - 3/2*a*b^4*c^4*x^2 + 2*a^2*b^3*c^4*x + 2*a^3*b^2*c^4*log(abs(x)) + 1/2*(6*a^4*b*c^4*x - a^5*c^4)/x^2","A",0
21,1,74,0,1.085773," ","integrate((b*x+a)*(-b*c*x+a*c)^4/x^4,x, algorithm=""giac"")","\frac{1}{2} \, b^{5} c^{4} x^{2} - 3 \, a b^{4} c^{4} x + 2 \, a^{2} b^{3} c^{4} \log\left({\left| x \right|}\right) - \frac{12 \, a^{3} b^{2} c^{4} x^{2} - 9 \, a^{4} b c^{4} x + 2 \, a^{5} c^{4}}{6 \, x^{3}}"," ",0,"1/2*b^5*c^4*x^2 - 3*a*b^4*c^4*x + 2*a^2*b^3*c^4*log(abs(x)) - 1/6*(12*a^3*b^2*c^4*x^2 - 9*a^4*b*c^4*x + 2*a^5*c^4)/x^3","A",0
22,1,72,0,0.962191," ","integrate((b*x+a)*(-b*c*x+a*c)^4/x^5,x, algorithm=""giac"")","b^{5} c^{4} x - 3 \, a b^{4} c^{4} \log\left({\left| x \right|}\right) - \frac{8 \, a^{2} b^{3} c^{4} x^{3} + 4 \, a^{3} b^{2} c^{4} x^{2} - 4 \, a^{4} b c^{4} x + a^{5} c^{4}}{4 \, x^{4}}"," ",0,"b^5*c^4*x - 3*a*b^4*c^4*log(abs(x)) - 1/4*(8*a^2*b^3*c^4*x^3 + 4*a^3*b^2*c^4*x^2 - 4*a^4*b*c^4*x + a^5*c^4)/x^4","A",0
23,1,75,0,1.024005," ","integrate((b*x+a)*(-b*c*x+a*c)^4/x^6,x, algorithm=""giac"")","b^{5} c^{4} \log\left({\left| x \right|}\right) + \frac{180 \, a b^{4} c^{4} x^{4} - 60 \, a^{2} b^{3} c^{4} x^{3} - 40 \, a^{3} b^{2} c^{4} x^{2} + 45 \, a^{4} b c^{4} x - 12 \, a^{5} c^{4}}{60 \, x^{5}}"," ",0,"b^5*c^4*log(abs(x)) + 1/60*(180*a*b^4*c^4*x^4 - 60*a^2*b^3*c^4*x^3 - 40*a^3*b^2*c^4*x^2 + 45*a^4*b*c^4*x - 12*a^5*c^4)/x^5","A",0
24,1,75,0,0.900401," ","integrate((b*x+a)*(-b*c*x+a*c)^4/x^7,x, algorithm=""giac"")","-\frac{30 \, b^{5} c^{4} x^{5} - 45 \, a b^{4} c^{4} x^{4} + 20 \, a^{2} b^{3} c^{4} x^{3} + 15 \, a^{3} b^{2} c^{4} x^{2} - 18 \, a^{4} b c^{4} x + 5 \, a^{5} c^{4}}{30 \, x^{6}}"," ",0,"-1/30*(30*b^5*c^4*x^5 - 45*a*b^4*c^4*x^4 + 20*a^2*b^3*c^4*x^3 + 15*a^3*b^2*c^4*x^2 - 18*a^4*b*c^4*x + 5*a^5*c^4)/x^6","A",0
25,1,75,0,0.930114," ","integrate((b*x+a)*(-b*c*x+a*c)^4/x^8,x, algorithm=""giac"")","-\frac{35 \, b^{5} c^{4} x^{5} - 70 \, a b^{4} c^{4} x^{4} + 35 \, a^{2} b^{3} c^{4} x^{3} + 28 \, a^{3} b^{2} c^{4} x^{2} - 35 \, a^{4} b c^{4} x + 10 \, a^{5} c^{4}}{70 \, x^{7}}"," ",0,"-1/70*(35*b^5*c^4*x^5 - 70*a*b^4*c^4*x^4 + 35*a^2*b^3*c^4*x^3 + 28*a^3*b^2*c^4*x^2 - 35*a^4*b*c^4*x + 10*a^5*c^4)/x^7","A",0
26,1,75,0,1.107866," ","integrate((b*x+a)*(-b*c*x+a*c)^4/x^9,x, algorithm=""giac"")","-\frac{280 \, b^{5} c^{4} x^{5} - 630 \, a b^{4} c^{4} x^{4} + 336 \, a^{2} b^{3} c^{4} x^{3} + 280 \, a^{3} b^{2} c^{4} x^{2} - 360 \, a^{4} b c^{4} x + 105 \, a^{5} c^{4}}{840 \, x^{8}}"," ",0,"-1/840*(280*b^5*c^4*x^5 - 630*a*b^4*c^4*x^4 + 336*a^2*b^3*c^4*x^3 + 280*a^3*b^2*c^4*x^2 - 360*a^4*b*c^4*x + 105*a^5*c^4)/x^8","A",0
27,1,75,0,1.123760," ","integrate(x^4*(b*x+a)*(-b*c*x+a*c)^5,x, algorithm=""giac"")","-\frac{1}{11} \, b^{6} c^{5} x^{11} + \frac{2}{5} \, a b^{5} c^{5} x^{10} - \frac{5}{9} \, a^{2} b^{4} c^{5} x^{9} + \frac{5}{7} \, a^{4} b^{2} c^{5} x^{7} - \frac{2}{3} \, a^{5} b c^{5} x^{6} + \frac{1}{5} \, a^{6} c^{5} x^{5}"," ",0,"-1/11*b^6*c^5*x^11 + 2/5*a*b^5*c^5*x^10 - 5/9*a^2*b^4*c^5*x^9 + 5/7*a^4*b^2*c^5*x^7 - 2/3*a^5*b*c^5*x^6 + 1/5*a^6*c^5*x^5","A",0
28,1,75,0,1.084409," ","integrate(x^3*(b*x+a)*(-b*c*x+a*c)^5,x, algorithm=""giac"")","-\frac{1}{10} \, b^{6} c^{5} x^{10} + \frac{4}{9} \, a b^{5} c^{5} x^{9} - \frac{5}{8} \, a^{2} b^{4} c^{5} x^{8} + \frac{5}{6} \, a^{4} b^{2} c^{5} x^{6} - \frac{4}{5} \, a^{5} b c^{5} x^{5} + \frac{1}{4} \, a^{6} c^{5} x^{4}"," ",0,"-1/10*b^6*c^5*x^10 + 4/9*a*b^5*c^5*x^9 - 5/8*a^2*b^4*c^5*x^8 + 5/6*a^4*b^2*c^5*x^6 - 4/5*a^5*b*c^5*x^5 + 1/4*a^6*c^5*x^4","A",0
29,1,74,0,1.025611," ","integrate(x^2*(b*x+a)*(-b*c*x+a*c)^5,x, algorithm=""giac"")","-\frac{1}{9} \, b^{6} c^{5} x^{9} + \frac{1}{2} \, a b^{5} c^{5} x^{8} - \frac{5}{7} \, a^{2} b^{4} c^{5} x^{7} + a^{4} b^{2} c^{5} x^{5} - a^{5} b c^{5} x^{4} + \frac{1}{3} \, a^{6} c^{5} x^{3}"," ",0,"-1/9*b^6*c^5*x^9 + 1/2*a*b^5*c^5*x^8 - 5/7*a^2*b^4*c^5*x^7 + a^4*b^2*c^5*x^5 - a^5*b*c^5*x^4 + 1/3*a^6*c^5*x^3","A",0
30,1,75,0,1.122636," ","integrate(x*(b*x+a)*(-b*c*x+a*c)^5,x, algorithm=""giac"")","-\frac{1}{8} \, b^{6} c^{5} x^{8} + \frac{4}{7} \, a b^{5} c^{5} x^{7} - \frac{5}{6} \, a^{2} b^{4} c^{5} x^{6} + \frac{5}{4} \, a^{4} b^{2} c^{5} x^{4} - \frac{4}{3} \, a^{5} b c^{5} x^{3} + \frac{1}{2} \, a^{6} c^{5} x^{2}"," ",0,"-1/8*b^6*c^5*x^8 + 4/7*a*b^5*c^5*x^7 - 5/6*a^2*b^4*c^5*x^6 + 5/4*a^4*b^2*c^5*x^4 - 4/3*a^5*b*c^5*x^3 + 1/2*a^6*c^5*x^2","A",0
31,1,72,0,0.979732," ","integrate((b*x+a)*(-b*c*x+a*c)^5,x, algorithm=""giac"")","-\frac{1}{7} \, b^{6} c^{5} x^{7} + \frac{2}{3} \, a b^{5} c^{5} x^{6} - a^{2} b^{4} c^{5} x^{5} + \frac{5}{3} \, a^{4} b^{2} c^{5} x^{3} - 2 \, a^{5} b c^{5} x^{2} + a^{6} c^{5} x"," ",0,"-1/7*b^6*c^5*x^7 + 2/3*a*b^5*c^5*x^6 - a^2*b^4*c^5*x^5 + 5/3*a^4*b^2*c^5*x^3 - 2*a^5*b*c^5*x^2 + a^6*c^5*x","A",0
32,1,72,0,1.117565," ","integrate((b*x+a)*(-b*c*x+a*c)^5/x,x, algorithm=""giac"")","-\frac{1}{6} \, b^{6} c^{5} x^{6} + \frac{4}{5} \, a b^{5} c^{5} x^{5} - \frac{5}{4} \, a^{2} b^{4} c^{5} x^{4} + \frac{5}{2} \, a^{4} b^{2} c^{5} x^{2} - 4 \, a^{5} b c^{5} x + a^{6} c^{5} \log\left({\left| x \right|}\right)"," ",0,"-1/6*b^6*c^5*x^6 + 4/5*a*b^5*c^5*x^5 - 5/4*a^2*b^4*c^5*x^4 + 5/2*a^4*b^2*c^5*x^2 - 4*a^5*b*c^5*x + a^6*c^5*log(abs(x))","A",0
33,1,72,0,0.989707," ","integrate((b*x+a)*(-b*c*x+a*c)^5/x^2,x, algorithm=""giac"")","-\frac{1}{5} \, b^{6} c^{5} x^{5} + a b^{5} c^{5} x^{4} - \frac{5}{3} \, a^{2} b^{4} c^{5} x^{3} + 5 \, a^{4} b^{2} c^{5} x - 4 \, a^{5} b c^{5} \log\left({\left| x \right|}\right) - \frac{a^{6} c^{5}}{x}"," ",0,"-1/5*b^6*c^5*x^5 + a*b^5*c^5*x^4 - 5/3*a^2*b^4*c^5*x^3 + 5*a^4*b^2*c^5*x - 4*a^5*b*c^5*log(abs(x)) - a^6*c^5/x","A",0
34,1,76,0,0.879619," ","integrate((b*x+a)*(-b*c*x+a*c)^5/x^3,x, algorithm=""giac"")","-\frac{1}{4} \, b^{6} c^{5} x^{4} + \frac{4}{3} \, a b^{5} c^{5} x^{3} - \frac{5}{2} \, a^{2} b^{4} c^{5} x^{2} + 5 \, a^{4} b^{2} c^{5} \log\left({\left| x \right|}\right) + \frac{8 \, a^{5} b c^{5} x - a^{6} c^{5}}{2 \, x^{2}}"," ",0,"-1/4*b^6*c^5*x^4 + 4/3*a*b^5*c^5*x^3 - 5/2*a^2*b^4*c^5*x^2 + 5*a^4*b^2*c^5*log(abs(x)) + 1/2*(8*a^5*b*c^5*x - a^6*c^5)/x^2","A",0
35,1,73,0,1.035094," ","integrate((b*x+a)*(-b*c*x+a*c)^5/x^4,x, algorithm=""giac"")","-\frac{1}{3} \, b^{6} c^{5} x^{3} + 2 \, a b^{5} c^{5} x^{2} - 5 \, a^{2} b^{4} c^{5} x - \frac{15 \, a^{4} b^{2} c^{5} x^{2} - 6 \, a^{5} b c^{5} x + a^{6} c^{5}}{3 \, x^{3}}"," ",0,"-1/3*b^6*c^5*x^3 + 2*a*b^5*c^5*x^2 - 5*a^2*b^4*c^5*x - 1/3*(15*a^4*b^2*c^5*x^2 - 6*a^5*b*c^5*x + a^6*c^5)/x^3","B",0
36,1,74,0,0.896822," ","integrate((b*x+a)*(-b*c*x+a*c)^5/x^5,x, algorithm=""giac"")","-\frac{1}{2} \, b^{6} c^{5} x^{2} + 4 \, a b^{5} c^{5} x - 5 \, a^{2} b^{4} c^{5} \log\left({\left| x \right|}\right) - \frac{30 \, a^{4} b^{2} c^{5} x^{2} - 16 \, a^{5} b c^{5} x + 3 \, a^{6} c^{5}}{12 \, x^{4}}"," ",0,"-1/2*b^6*c^5*x^2 + 4*a*b^5*c^5*x - 5*a^2*b^4*c^5*log(abs(x)) - 1/12*(30*a^4*b^2*c^5*x^2 - 16*a^5*b*c^5*x + 3*a^6*c^5)/x^4","A",0
37,1,74,0,0.955687," ","integrate((b*x+a)*(-b*c*x+a*c)^5/x^6,x, algorithm=""giac"")","-b^{6} c^{5} x + 4 \, a b^{5} c^{5} \log\left({\left| x \right|}\right) + \frac{75 \, a^{2} b^{4} c^{5} x^{4} - 25 \, a^{4} b^{2} c^{5} x^{2} + 15 \, a^{5} b c^{5} x - 3 \, a^{6} c^{5}}{15 \, x^{5}}"," ",0,"-b^6*c^5*x + 4*a*b^5*c^5*log(abs(x)) + 1/15*(75*a^2*b^4*c^5*x^4 - 25*a^4*b^2*c^5*x^2 + 15*a^5*b*c^5*x - 3*a^6*c^5)/x^5","A",0
38,1,76,0,1.074850," ","integrate((b*x+a)*(-b*c*x+a*c)^5/x^7,x, algorithm=""giac"")","-b^{6} c^{5} \log\left({\left| x \right|}\right) - \frac{240 \, a b^{5} c^{5} x^{5} - 150 \, a^{2} b^{4} c^{5} x^{4} + 75 \, a^{4} b^{2} c^{5} x^{2} - 48 \, a^{5} b c^{5} x + 10 \, a^{6} c^{5}}{60 \, x^{6}}"," ",0,"-b^6*c^5*log(abs(x)) - 1/60*(240*a*b^5*c^5*x^5 - 150*a^2*b^4*c^5*x^4 + 75*a^4*b^2*c^5*x^2 - 48*a^5*b*c^5*x + 10*a^6*c^5)/x^6","A",0
39,1,75,0,0.967281," ","integrate((b*x+a)*(-b*c*x+a*c)^5/x^8,x, algorithm=""giac"")","\frac{21 \, b^{6} c^{5} x^{6} - 42 \, a b^{5} c^{5} x^{5} + 35 \, a^{2} b^{4} c^{5} x^{4} - 21 \, a^{4} b^{2} c^{5} x^{2} + 14 \, a^{5} b c^{5} x - 3 \, a^{6} c^{5}}{21 \, x^{7}}"," ",0,"1/21*(21*b^6*c^5*x^6 - 42*a*b^5*c^5*x^5 + 35*a^2*b^4*c^5*x^4 - 21*a^4*b^2*c^5*x^2 + 14*a^5*b*c^5*x - 3*a^6*c^5)/x^7","A",0
40,1,75,0,1.018205," ","integrate((b*x+a)*(-b*c*x+a*c)^5/x^9,x, algorithm=""giac"")","\frac{84 \, b^{6} c^{5} x^{6} - 224 \, a b^{5} c^{5} x^{5} + 210 \, a^{2} b^{4} c^{5} x^{4} - 140 \, a^{4} b^{2} c^{5} x^{2} + 96 \, a^{5} b c^{5} x - 21 \, a^{6} c^{5}}{168 \, x^{8}}"," ",0,"1/168*(84*b^6*c^5*x^6 - 224*a*b^5*c^5*x^5 + 210*a^2*b^4*c^5*x^4 - 140*a^4*b^2*c^5*x^2 + 96*a^5*b*c^5*x - 21*a^6*c^5)/x^8","A",0
41,1,75,0,0.831330," ","integrate((b*x+a)*(-b*c*x+a*c)^5/x^10,x, algorithm=""giac"")","\frac{42 \, b^{6} c^{5} x^{6} - 126 \, a b^{5} c^{5} x^{5} + 126 \, a^{2} b^{4} c^{5} x^{4} - 90 \, a^{4} b^{2} c^{5} x^{2} + 63 \, a^{5} b c^{5} x - 14 \, a^{6} c^{5}}{126 \, x^{9}}"," ",0,"1/126*(42*b^6*c^5*x^6 - 126*a*b^5*c^5*x^5 + 126*a^2*b^4*c^5*x^4 - 90*a^4*b^2*c^5*x^2 + 63*a^5*b*c^5*x - 14*a^6*c^5)/x^9","A",0
42,1,75,0,0.907582," ","integrate((b*x+a)*(-b*c*x+a*c)^5/x^11,x, algorithm=""giac"")","\frac{90 \, b^{6} c^{5} x^{6} - 288 \, a b^{5} c^{5} x^{5} + 300 \, a^{2} b^{4} c^{5} x^{4} - 225 \, a^{4} b^{2} c^{5} x^{2} + 160 \, a^{5} b c^{5} x - 36 \, a^{6} c^{5}}{360 \, x^{10}}"," ",0,"1/360*(90*b^6*c^5*x^6 - 288*a*b^5*c^5*x^5 + 300*a^2*b^4*c^5*x^4 - 225*a^4*b^2*c^5*x^2 + 160*a^5*b*c^5*x - 36*a^6*c^5)/x^10","A",0
43,1,75,0,1.046531," ","integrate((b*x+a)*(-b*c*x+a*c)^5/x^12,x, algorithm=""giac"")","\frac{693 \, b^{6} c^{5} x^{6} - 2310 \, a b^{5} c^{5} x^{5} + 2475 \, a^{2} b^{4} c^{5} x^{4} - 1925 \, a^{4} b^{2} c^{5} x^{2} + 1386 \, a^{5} b c^{5} x - 315 \, a^{6} c^{5}}{3465 \, x^{11}}"," ",0,"1/3465*(693*b^6*c^5*x^6 - 2310*a*b^5*c^5*x^5 + 2475*a^2*b^4*c^5*x^4 - 1925*a^4*b^2*c^5*x^2 + 1386*a^5*b*c^5*x - 315*a^6*c^5)/x^11","A",0
44,1,103,0,1.026991," ","integrate((b*x+a)*(-b*c*x+a*c)^6/x^8,x, algorithm=""giac"")","b^{7} c^{6} \log\left({\left| x \right|}\right) + \frac{2100 \, a b^{6} c^{6} x^{6} - 1890 \, a^{2} b^{5} c^{6} x^{5} + 700 \, a^{3} b^{4} c^{6} x^{4} + 525 \, a^{4} b^{3} c^{6} x^{3} - 756 \, a^{5} b^{2} c^{6} x^{2} + 350 \, a^{6} b c^{6} x - 60 \, a^{7} c^{6}}{420 \, x^{7}}"," ",0,"b^7*c^6*log(abs(x)) + 1/420*(2100*a*b^6*c^6*x^6 - 1890*a^2*b^5*c^6*x^5 + 700*a^3*b^4*c^6*x^4 + 525*a^4*b^3*c^6*x^3 - 756*a^5*b^2*c^6*x^2 + 350*a^6*b*c^6*x - 60*a^7*c^6)/x^7","A",0
45,1,103,0,0.966511," ","integrate((b*x+a)*(-b*c*x+a*c)^6/x^9,x, algorithm=""giac"")","-\frac{56 \, b^{7} c^{6} x^{7} - 140 \, a b^{6} c^{6} x^{6} + 168 \, a^{2} b^{5} c^{6} x^{5} - 70 \, a^{3} b^{4} c^{6} x^{4} - 56 \, a^{4} b^{3} c^{6} x^{3} + 84 \, a^{5} b^{2} c^{6} x^{2} - 40 \, a^{6} b c^{6} x + 7 \, a^{7} c^{6}}{56 \, x^{8}}"," ",0,"-1/56*(56*b^7*c^6*x^7 - 140*a*b^6*c^6*x^6 + 168*a^2*b^5*c^6*x^5 - 70*a^3*b^4*c^6*x^4 - 56*a^4*b^3*c^6*x^3 + 84*a^5*b^2*c^6*x^2 - 40*a^6*b*c^6*x + 7*a^7*c^6)/x^8","B",0
46,1,103,0,0.971312," ","integrate((b*x+a)*(-b*c*x+a*c)^6/x^10,x, algorithm=""giac"")","-\frac{252 \, b^{7} c^{6} x^{7} - 840 \, a b^{6} c^{6} x^{6} + 1134 \, a^{2} b^{5} c^{6} x^{5} - 504 \, a^{3} b^{4} c^{6} x^{4} - 420 \, a^{4} b^{3} c^{6} x^{3} + 648 \, a^{5} b^{2} c^{6} x^{2} - 315 \, a^{6} b c^{6} x + 56 \, a^{7} c^{6}}{504 \, x^{9}}"," ",0,"-1/504*(252*b^7*c^6*x^7 - 840*a*b^6*c^6*x^6 + 1134*a^2*b^5*c^6*x^5 - 504*a^3*b^4*c^6*x^4 - 420*a^4*b^3*c^6*x^3 + 648*a^5*b^2*c^6*x^2 - 315*a^6*b*c^6*x + 56*a^7*c^6)/x^9","A",0
47,1,103,0,0.939641," ","integrate((b*x+a)*(-b*c*x+a*c)^6/x^11,x, algorithm=""giac"")","-\frac{840 \, b^{7} c^{6} x^{7} - 3150 \, a b^{6} c^{6} x^{6} + 4536 \, a^{2} b^{5} c^{6} x^{5} - 2100 \, a^{3} b^{4} c^{6} x^{4} - 1800 \, a^{4} b^{3} c^{6} x^{3} + 2835 \, a^{5} b^{2} c^{6} x^{2} - 1400 \, a^{6} b c^{6} x + 252 \, a^{7} c^{6}}{2520 \, x^{10}}"," ",0,"-1/2520*(840*b^7*c^6*x^7 - 3150*a*b^6*c^6*x^6 + 4536*a^2*b^5*c^6*x^5 - 2100*a^3*b^4*c^6*x^4 - 1800*a^4*b^3*c^6*x^3 + 2835*a^5*b^2*c^6*x^2 - 1400*a^6*b*c^6*x + 252*a^7*c^6)/x^10","A",0
48,1,103,0,0.983070," ","integrate((b*x+a)*(-b*c*x+a*c)^6/x^12,x, algorithm=""giac"")","-\frac{154 \, b^{7} c^{6} x^{7} - 616 \, a b^{6} c^{6} x^{6} + 924 \, a^{2} b^{5} c^{6} x^{5} - 440 \, a^{3} b^{4} c^{6} x^{4} - 385 \, a^{4} b^{3} c^{6} x^{3} + 616 \, a^{5} b^{2} c^{6} x^{2} - 308 \, a^{6} b c^{6} x + 56 \, a^{7} c^{6}}{616 \, x^{11}}"," ",0,"-1/616*(154*b^7*c^6*x^7 - 616*a*b^6*c^6*x^6 + 924*a^2*b^5*c^6*x^5 - 440*a^3*b^4*c^6*x^4 - 385*a^4*b^3*c^6*x^3 + 616*a^5*b^2*c^6*x^2 - 308*a^6*b*c^6*x + 56*a^7*c^6)/x^11","A",0
49,1,103,0,1.013609," ","integrate((b*x+a)*(-b*c*x+a*c)^6/x^13,x, algorithm=""giac"")","-\frac{5544 \, b^{7} c^{6} x^{7} - 23100 \, a b^{6} c^{6} x^{6} + 35640 \, a^{2} b^{5} c^{6} x^{5} - 17325 \, a^{3} b^{4} c^{6} x^{4} - 15400 \, a^{4} b^{3} c^{6} x^{3} + 24948 \, a^{5} b^{2} c^{6} x^{2} - 12600 \, a^{6} b c^{6} x + 2310 \, a^{7} c^{6}}{27720 \, x^{12}}"," ",0,"-1/27720*(5544*b^7*c^6*x^7 - 23100*a*b^6*c^6*x^6 + 35640*a^2*b^5*c^6*x^5 - 17325*a^3*b^4*c^6*x^4 - 15400*a^4*b^3*c^6*x^3 + 24948*a^5*b^2*c^6*x^2 - 12600*a^6*b*c^6*x + 2310*a^7*c^6)/x^12","A",0
50,1,84,0,0.984286," ","integrate((e*x)^(5/2)/(b*x+a)/(-b*c*x+a*c),x, algorithm=""giac"")","-\frac{1}{3} \, {\left(\frac{3 \, a^{2} \arctan\left(\frac{b \sqrt{x} e^{\frac{1}{2}}}{\sqrt{-a b e}}\right) e}{\sqrt{-a b e} b^{3} c} + \frac{2 \, x^{\frac{3}{2}} e^{\frac{1}{2}}}{b^{2} c} + \frac{3 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right) e^{\frac{1}{2}}}{\sqrt{a b} b^{3} c}\right)} e^{2}"," ",0,"-1/3*(3*a^2*arctan(b*sqrt(x)*e^(1/2)/sqrt(-a*b*e))*e/(sqrt(-a*b*e)*b^3*c) + 2*x^(3/2)*e^(1/2)/(b^2*c) + 3*a^2*arctan(b*sqrt(x)/sqrt(a*b))*e^(1/2)/(sqrt(a*b)*b^3*c))*e^2","A",0
51,1,79,0,1.029109," ","integrate((e*x)^(3/2)/(b*x+a)/(-b*c*x+a*c),x, algorithm=""giac"")","-{\left(\frac{a \arctan\left(\frac{b \sqrt{x} e^{\frac{1}{2}}}{\sqrt{-a b e}}\right) e}{\sqrt{-a b e} b^{2} c} - \frac{a \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right) e^{\frac{1}{2}}}{\sqrt{a b} b^{2} c} + \frac{2 \, \sqrt{x} e^{\frac{1}{2}}}{b^{2} c}\right)} e"," ",0,"-(a*arctan(b*sqrt(x)*e^(1/2)/sqrt(-a*b*e))*e/(sqrt(-a*b*e)*b^2*c) - a*arctan(b*sqrt(x)/sqrt(a*b))*e^(1/2)/(sqrt(a*b)*b^2*c) + 2*sqrt(x)*e^(1/2)/(b^2*c))*e","A",0
52,1,63,0,0.916912," ","integrate((e*x)^(1/2)/(b*x+a)/(-b*c*x+a*c),x, algorithm=""giac"")","-{\left(\frac{\arctan\left(\frac{b \sqrt{x} e^{\frac{1}{2}}}{\sqrt{-a b e}}\right) e^{2}}{\sqrt{-a b e} b c} + \frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right) e^{\frac{3}{2}}}{\sqrt{a b} b c}\right)} e^{\left(-1\right)}"," ",0,"-(arctan(b*sqrt(x)*e^(1/2)/sqrt(-a*b*e))*e^2/(sqrt(-a*b*e)*b*c) + arctan(b*sqrt(x)/sqrt(a*b))*e^(3/2)/(sqrt(a*b)*b*c))*e^(-1)","A",0
53,1,58,0,1.009173," ","integrate(1/(e*x)^(1/2)/(b*x+a)/(-b*c*x+a*c),x, algorithm=""giac"")","\frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right) e^{\left(-\frac{1}{2}\right)}}{\sqrt{a b} a c} - \frac{\arctan\left(\frac{b \sqrt{x} e^{\frac{1}{2}}}{\sqrt{-a b e}}\right)}{\sqrt{-a b e} a c}"," ",0,"arctan(b*sqrt(x)/sqrt(a*b))*e^(-1/2)/(sqrt(a*b)*a*c) - arctan(b*sqrt(x)*e^(1/2)/sqrt(-a*b*e))/(sqrt(-a*b*e)*a*c)","A",0
54,1,76,0,0.922870," ","integrate(1/(e*x)^(3/2)/(b*x+a)/(-b*c*x+a*c),x, algorithm=""giac"")","-{\left(\frac{b \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right) e^{\left(-\frac{1}{2}\right)}}{\sqrt{a b} a^{2} c} + \frac{b \arctan\left(\frac{b \sqrt{x} e^{\frac{1}{2}}}{\sqrt{-a b e}}\right)}{\sqrt{-a b e} a^{2} c} + \frac{2 \, e^{\left(-\frac{1}{2}\right)}}{a^{2} c \sqrt{x}}\right)} e^{\left(-1\right)}"," ",0,"-(b*arctan(b*sqrt(x)/sqrt(a*b))*e^(-1/2)/(sqrt(a*b)*a^2*c) + b*arctan(b*sqrt(x)*e^(1/2)/sqrt(-a*b*e))/(sqrt(-a*b*e)*a^2*c) + 2*e^(-1/2)/(a^2*c*sqrt(x)))*e^(-1)","A",0
55,1,79,0,1.073428," ","integrate(1/(e*x)^(5/2)/(b*x+a)/(-b*c*x+a*c),x, algorithm=""giac"")","-\frac{b^{2} \arctan\left(\frac{b \sqrt{x} e^{\frac{1}{2}}}{\sqrt{-a b e}}\right) e^{\left(-2\right)}}{\sqrt{-a b e} a^{3} c} + \frac{b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right) e^{\left(-\frac{5}{2}\right)}}{\sqrt{a b} a^{3} c} - \frac{2 \, e^{\left(-\frac{5}{2}\right)}}{3 \, a^{2} c x^{\frac{3}{2}}}"," ",0,"-b^2*arctan(b*sqrt(x)*e^(1/2)/sqrt(-a*b*e))*e^(-2)/(sqrt(-a*b*e)*a^3*c) + b^2*arctan(b*sqrt(x)/sqrt(a*b))*e^(-5/2)/(sqrt(a*b)*a^3*c) - 2/3*e^(-5/2)/(a^2*c*x^(3/2))","A",0
56,1,969,0,1.013157," ","integrate((e*x)^m*(-2*a*x+2)^3*(a*x+1)^4,x, algorithm=""giac"")","-\frac{8 \, {\left(a^{7} m^{7} x^{8} x^{m} e^{m} + 28 \, a^{7} m^{6} x^{8} x^{m} e^{m} + a^{6} m^{7} x^{7} x^{m} e^{m} + 322 \, a^{7} m^{5} x^{8} x^{m} e^{m} + 29 \, a^{6} m^{6} x^{7} x^{m} e^{m} + 1960 \, a^{7} m^{4} x^{8} x^{m} e^{m} - 3 \, a^{5} m^{7} x^{6} x^{m} e^{m} + 343 \, a^{6} m^{5} x^{7} x^{m} e^{m} + 6769 \, a^{7} m^{3} x^{8} x^{m} e^{m} - 90 \, a^{5} m^{6} x^{6} x^{m} e^{m} + 2135 \, a^{6} m^{4} x^{7} x^{m} e^{m} + 13132 \, a^{7} m^{2} x^{8} x^{m} e^{m} - 3 \, a^{4} m^{7} x^{5} x^{m} e^{m} - 1098 \, a^{5} m^{5} x^{6} x^{m} e^{m} + 7504 \, a^{6} m^{3} x^{7} x^{m} e^{m} + 13068 \, a^{7} m x^{8} x^{m} e^{m} - 93 \, a^{4} m^{6} x^{5} x^{m} e^{m} - 7020 \, a^{5} m^{4} x^{6} x^{m} e^{m} + 14756 \, a^{6} m^{2} x^{7} x^{m} e^{m} + 5040 \, a^{7} x^{8} x^{m} e^{m} + 3 \, a^{3} m^{7} x^{4} x^{m} e^{m} - 1173 \, a^{4} m^{5} x^{5} x^{m} e^{m} - 25227 \, a^{5} m^{3} x^{6} x^{m} e^{m} + 14832 \, a^{6} m x^{7} x^{m} e^{m} + 96 \, a^{3} m^{6} x^{4} x^{m} e^{m} - 7743 \, a^{4} m^{4} x^{5} x^{m} e^{m} - 50490 \, a^{5} m^{2} x^{6} x^{m} e^{m} + 5760 \, a^{6} x^{7} x^{m} e^{m} + 3 \, a^{2} m^{7} x^{3} x^{m} e^{m} + 1254 \, a^{3} m^{5} x^{4} x^{m} e^{m} - 28632 \, a^{4} m^{3} x^{5} x^{m} e^{m} - 51432 \, a^{5} m x^{6} x^{m} e^{m} + 99 \, a^{2} m^{6} x^{3} x^{m} e^{m} + 8592 \, a^{3} m^{4} x^{4} x^{m} e^{m} - 58692 \, a^{4} m^{2} x^{5} x^{m} e^{m} - 20160 \, a^{5} x^{6} x^{m} e^{m} - a m^{7} x^{2} x^{m} e^{m} + 1341 \, a^{2} m^{5} x^{3} x^{m} e^{m} + 32979 \, a^{3} m^{3} x^{4} x^{m} e^{m} - 60912 \, a^{4} m x^{5} x^{m} e^{m} - 34 \, a m^{6} x^{2} x^{m} e^{m} + 9585 \, a^{2} m^{4} x^{3} x^{m} e^{m} + 69936 \, a^{3} m^{2} x^{4} x^{m} e^{m} - 24192 \, a^{4} x^{5} x^{m} e^{m} - m^{7} x x^{m} e^{m} - 478 \, a m^{5} x^{2} x^{m} e^{m} + 38592 \, a^{2} m^{3} x^{3} x^{m} e^{m} + 74628 \, a^{3} m x^{4} x^{m} e^{m} - 35 \, m^{6} x x^{m} e^{m} - 3580 \, a m^{4} x^{2} x^{m} e^{m} + 86076 \, a^{2} m^{2} x^{3} x^{m} e^{m} + 30240 \, a^{3} x^{4} x^{m} e^{m} - 511 \, m^{5} x x^{m} e^{m} - 15289 \, a m^{3} x^{2} x^{m} e^{m} + 96144 \, a^{2} m x^{3} x^{m} e^{m} - 4025 \, m^{4} x x^{m} e^{m} - 36706 \, a m^{2} x^{2} x^{m} e^{m} + 40320 \, a^{2} x^{3} x^{m} e^{m} - 18424 \, m^{3} x x^{m} e^{m} - 44712 \, a m x^{2} x^{m} e^{m} - 48860 \, m^{2} x x^{m} e^{m} - 20160 \, a x^{2} x^{m} e^{m} - 69264 \, m x x^{m} e^{m} - 40320 \, x x^{m} e^{m}\right)}}{m^{8} + 36 \, m^{7} + 546 \, m^{6} + 4536 \, m^{5} + 22449 \, m^{4} + 67284 \, m^{3} + 118124 \, m^{2} + 109584 \, m + 40320}"," ",0,"-8*(a^7*m^7*x^8*x^m*e^m + 28*a^7*m^6*x^8*x^m*e^m + a^6*m^7*x^7*x^m*e^m + 322*a^7*m^5*x^8*x^m*e^m + 29*a^6*m^6*x^7*x^m*e^m + 1960*a^7*m^4*x^8*x^m*e^m - 3*a^5*m^7*x^6*x^m*e^m + 343*a^6*m^5*x^7*x^m*e^m + 6769*a^7*m^3*x^8*x^m*e^m - 90*a^5*m^6*x^6*x^m*e^m + 2135*a^6*m^4*x^7*x^m*e^m + 13132*a^7*m^2*x^8*x^m*e^m - 3*a^4*m^7*x^5*x^m*e^m - 1098*a^5*m^5*x^6*x^m*e^m + 7504*a^6*m^3*x^7*x^m*e^m + 13068*a^7*m*x^8*x^m*e^m - 93*a^4*m^6*x^5*x^m*e^m - 7020*a^5*m^4*x^6*x^m*e^m + 14756*a^6*m^2*x^7*x^m*e^m + 5040*a^7*x^8*x^m*e^m + 3*a^3*m^7*x^4*x^m*e^m - 1173*a^4*m^5*x^5*x^m*e^m - 25227*a^5*m^3*x^6*x^m*e^m + 14832*a^6*m*x^7*x^m*e^m + 96*a^3*m^6*x^4*x^m*e^m - 7743*a^4*m^4*x^5*x^m*e^m - 50490*a^5*m^2*x^6*x^m*e^m + 5760*a^6*x^7*x^m*e^m + 3*a^2*m^7*x^3*x^m*e^m + 1254*a^3*m^5*x^4*x^m*e^m - 28632*a^4*m^3*x^5*x^m*e^m - 51432*a^5*m*x^6*x^m*e^m + 99*a^2*m^6*x^3*x^m*e^m + 8592*a^3*m^4*x^4*x^m*e^m - 58692*a^4*m^2*x^5*x^m*e^m - 20160*a^5*x^6*x^m*e^m - a*m^7*x^2*x^m*e^m + 1341*a^2*m^5*x^3*x^m*e^m + 32979*a^3*m^3*x^4*x^m*e^m - 60912*a^4*m*x^5*x^m*e^m - 34*a*m^6*x^2*x^m*e^m + 9585*a^2*m^4*x^3*x^m*e^m + 69936*a^3*m^2*x^4*x^m*e^m - 24192*a^4*x^5*x^m*e^m - m^7*x*x^m*e^m - 478*a*m^5*x^2*x^m*e^m + 38592*a^2*m^3*x^3*x^m*e^m + 74628*a^3*m*x^4*x^m*e^m - 35*m^6*x*x^m*e^m - 3580*a*m^4*x^2*x^m*e^m + 86076*a^2*m^2*x^3*x^m*e^m + 30240*a^3*x^4*x^m*e^m - 511*m^5*x*x^m*e^m - 15289*a*m^3*x^2*x^m*e^m + 96144*a^2*m*x^3*x^m*e^m - 4025*m^4*x*x^m*e^m - 36706*a*m^2*x^2*x^m*e^m + 40320*a^2*x^3*x^m*e^m - 18424*m^3*x*x^m*e^m - 44712*a*m*x^2*x^m*e^m - 48860*m^2*x*x^m*e^m - 20160*a*x^2*x^m*e^m - 69264*m*x*x^m*e^m - 40320*x*x^m*e^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
57,1,533,0,1.248642," ","integrate((e*x)^m*(-2*a*x+2)^2*(a*x+1)^3,x, algorithm=""giac"")","\frac{4 \, {\left(a^{5} m^{5} x^{6} x^{m} e^{m} + 15 \, a^{5} m^{4} x^{6} x^{m} e^{m} + a^{4} m^{5} x^{5} x^{m} e^{m} + 85 \, a^{5} m^{3} x^{6} x^{m} e^{m} + 16 \, a^{4} m^{4} x^{5} x^{m} e^{m} + 225 \, a^{5} m^{2} x^{6} x^{m} e^{m} - 2 \, a^{3} m^{5} x^{4} x^{m} e^{m} + 95 \, a^{4} m^{3} x^{5} x^{m} e^{m} + 274 \, a^{5} m x^{6} x^{m} e^{m} - 34 \, a^{3} m^{4} x^{4} x^{m} e^{m} + 260 \, a^{4} m^{2} x^{5} x^{m} e^{m} + 120 \, a^{5} x^{6} x^{m} e^{m} - 2 \, a^{2} m^{5} x^{3} x^{m} e^{m} - 214 \, a^{3} m^{3} x^{4} x^{m} e^{m} + 324 \, a^{4} m x^{5} x^{m} e^{m} - 36 \, a^{2} m^{4} x^{3} x^{m} e^{m} - 614 \, a^{3} m^{2} x^{4} x^{m} e^{m} + 144 \, a^{4} x^{5} x^{m} e^{m} + a m^{5} x^{2} x^{m} e^{m} - 242 \, a^{2} m^{3} x^{3} x^{m} e^{m} - 792 \, a^{3} m x^{4} x^{m} e^{m} + 19 \, a m^{4} x^{2} x^{m} e^{m} - 744 \, a^{2} m^{2} x^{3} x^{m} e^{m} - 360 \, a^{3} x^{4} x^{m} e^{m} + m^{5} x x^{m} e^{m} + 137 \, a m^{3} x^{2} x^{m} e^{m} - 1016 \, a^{2} m x^{3} x^{m} e^{m} + 20 \, m^{4} x x^{m} e^{m} + 461 \, a m^{2} x^{2} x^{m} e^{m} - 480 \, a^{2} x^{3} x^{m} e^{m} + 155 \, m^{3} x x^{m} e^{m} + 702 \, a m x^{2} x^{m} e^{m} + 580 \, m^{2} x x^{m} e^{m} + 360 \, a x^{2} x^{m} e^{m} + 1044 \, m x x^{m} e^{m} + 720 \, x x^{m} e^{m}\right)}}{m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720}"," ",0,"4*(a^5*m^5*x^6*x^m*e^m + 15*a^5*m^4*x^6*x^m*e^m + a^4*m^5*x^5*x^m*e^m + 85*a^5*m^3*x^6*x^m*e^m + 16*a^4*m^4*x^5*x^m*e^m + 225*a^5*m^2*x^6*x^m*e^m - 2*a^3*m^5*x^4*x^m*e^m + 95*a^4*m^3*x^5*x^m*e^m + 274*a^5*m*x^6*x^m*e^m - 34*a^3*m^4*x^4*x^m*e^m + 260*a^4*m^2*x^5*x^m*e^m + 120*a^5*x^6*x^m*e^m - 2*a^2*m^5*x^3*x^m*e^m - 214*a^3*m^3*x^4*x^m*e^m + 324*a^4*m*x^5*x^m*e^m - 36*a^2*m^4*x^3*x^m*e^m - 614*a^3*m^2*x^4*x^m*e^m + 144*a^4*x^5*x^m*e^m + a*m^5*x^2*x^m*e^m - 242*a^2*m^3*x^3*x^m*e^m - 792*a^3*m*x^4*x^m*e^m + 19*a*m^4*x^2*x^m*e^m - 744*a^2*m^2*x^3*x^m*e^m - 360*a^3*x^4*x^m*e^m + m^5*x*x^m*e^m + 137*a*m^3*x^2*x^m*e^m - 1016*a^2*m*x^3*x^m*e^m + 20*m^4*x*x^m*e^m + 461*a*m^2*x^2*x^m*e^m - 480*a^2*x^3*x^m*e^m + 155*m^3*x*x^m*e^m + 702*a*m*x^2*x^m*e^m + 580*m^2*x*x^m*e^m + 360*a*x^2*x^m*e^m + 1044*m*x*x^m*e^m + 720*x*x^m*e^m)/(m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)","B",0
58,1,229,0,1.233814," ","integrate((e*x)^m*(-2*a*x+2)*(a*x+1)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(a^{3} m^{3} x^{4} x^{m} e^{m} + 6 \, a^{3} m^{2} x^{4} x^{m} e^{m} + a^{2} m^{3} x^{3} x^{m} e^{m} + 11 \, a^{3} m x^{4} x^{m} e^{m} + 7 \, a^{2} m^{2} x^{3} x^{m} e^{m} + 6 \, a^{3} x^{4} x^{m} e^{m} - a m^{3} x^{2} x^{m} e^{m} + 14 \, a^{2} m x^{3} x^{m} e^{m} - 8 \, a m^{2} x^{2} x^{m} e^{m} + 8 \, a^{2} x^{3} x^{m} e^{m} - m^{3} x x^{m} e^{m} - 19 \, a m x^{2} x^{m} e^{m} - 9 \, m^{2} x x^{m} e^{m} - 12 \, a x^{2} x^{m} e^{m} - 26 \, m x x^{m} e^{m} - 24 \, x x^{m} e^{m}\right)}}{m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24}"," ",0,"-2*(a^3*m^3*x^4*x^m*e^m + 6*a^3*m^2*x^4*x^m*e^m + a^2*m^3*x^3*x^m*e^m + 11*a^3*m*x^4*x^m*e^m + 7*a^2*m^2*x^3*x^m*e^m + 6*a^3*x^4*x^m*e^m - a*m^3*x^2*x^m*e^m + 14*a^2*m*x^3*x^m*e^m - 8*a*m^2*x^2*x^m*e^m + 8*a^2*x^3*x^m*e^m - m^3*x*x^m*e^m - 19*a*m*x^2*x^m*e^m - 9*m^2*x*x^m*e^m - 12*a*x^2*x^m*e^m - 26*m*x*x^m*e^m - 24*x*x^m*e^m)/(m^4 + 10*m^3 + 35*m^2 + 50*m + 24)","B",0
59,0,0,0,0.000000," ","integrate((e*x)^m/(-2*a*x+2)^2/(a*x+1),x, algorithm=""giac"")","\int \frac{\left(e x\right)^{m}}{4 \, {\left(a x + 1\right)} {\left(a x - 1\right)}^{2}}\,{d x}"," ",0,"integrate(1/4*(e*x)^m/((a*x + 1)*(a*x - 1)^2), x)","F",0
60,0,0,0,0.000000," ","integrate((e*x)^m/(-2*a*x+2)^3/(a*x+1)^2,x, algorithm=""giac"")","\int -\frac{\left(e x\right)^{m}}{8 \, {\left(a x + 1\right)}^{2} {\left(a x - 1\right)}^{3}}\,{d x}"," ",0,"integrate(-1/8*(e*x)^m/((a*x + 1)^2*(a*x - 1)^3), x)","F",0
61,0,0,0,0.000000," ","integrate((e*x)^m/(-2*a*x+2)^4/(a*x+1)^3,x, algorithm=""giac"")","\int \frac{\left(e x\right)^{m}}{16 \, {\left(a x + 1\right)}^{3} {\left(a x - 1\right)}^{4}}\,{d x}"," ",0,"integrate(1/16*(e*x)^m/((a*x + 1)^3*(a*x - 1)^4), x)","F",0
62,1,1313,0,1.340982," ","integrate((e*x)^m*(b*x+a)^4*(-b*d*x+a*d)^3,x, algorithm=""giac"")","-\frac{b^{7} d^{3} m^{7} x^{8} x^{m} e^{m} + a b^{6} d^{3} m^{7} x^{7} x^{m} e^{m} + 28 \, b^{7} d^{3} m^{6} x^{8} x^{m} e^{m} - 3 \, a^{2} b^{5} d^{3} m^{7} x^{6} x^{m} e^{m} + 29 \, a b^{6} d^{3} m^{6} x^{7} x^{m} e^{m} + 322 \, b^{7} d^{3} m^{5} x^{8} x^{m} e^{m} - 3 \, a^{3} b^{4} d^{3} m^{7} x^{5} x^{m} e^{m} - 90 \, a^{2} b^{5} d^{3} m^{6} x^{6} x^{m} e^{m} + 343 \, a b^{6} d^{3} m^{5} x^{7} x^{m} e^{m} + 1960 \, b^{7} d^{3} m^{4} x^{8} x^{m} e^{m} + 3 \, a^{4} b^{3} d^{3} m^{7} x^{4} x^{m} e^{m} - 93 \, a^{3} b^{4} d^{3} m^{6} x^{5} x^{m} e^{m} - 1098 \, a^{2} b^{5} d^{3} m^{5} x^{6} x^{m} e^{m} + 2135 \, a b^{6} d^{3} m^{4} x^{7} x^{m} e^{m} + 6769 \, b^{7} d^{3} m^{3} x^{8} x^{m} e^{m} + 3 \, a^{5} b^{2} d^{3} m^{7} x^{3} x^{m} e^{m} + 96 \, a^{4} b^{3} d^{3} m^{6} x^{4} x^{m} e^{m} - 1173 \, a^{3} b^{4} d^{3} m^{5} x^{5} x^{m} e^{m} - 7020 \, a^{2} b^{5} d^{3} m^{4} x^{6} x^{m} e^{m} + 7504 \, a b^{6} d^{3} m^{3} x^{7} x^{m} e^{m} + 13132 \, b^{7} d^{3} m^{2} x^{8} x^{m} e^{m} - a^{6} b d^{3} m^{7} x^{2} x^{m} e^{m} + 99 \, a^{5} b^{2} d^{3} m^{6} x^{3} x^{m} e^{m} + 1254 \, a^{4} b^{3} d^{3} m^{5} x^{4} x^{m} e^{m} - 7743 \, a^{3} b^{4} d^{3} m^{4} x^{5} x^{m} e^{m} - 25227 \, a^{2} b^{5} d^{3} m^{3} x^{6} x^{m} e^{m} + 14756 \, a b^{6} d^{3} m^{2} x^{7} x^{m} e^{m} + 13068 \, b^{7} d^{3} m x^{8} x^{m} e^{m} - a^{7} d^{3} m^{7} x x^{m} e^{m} - 34 \, a^{6} b d^{3} m^{6} x^{2} x^{m} e^{m} + 1341 \, a^{5} b^{2} d^{3} m^{5} x^{3} x^{m} e^{m} + 8592 \, a^{4} b^{3} d^{3} m^{4} x^{4} x^{m} e^{m} - 28632 \, a^{3} b^{4} d^{3} m^{3} x^{5} x^{m} e^{m} - 50490 \, a^{2} b^{5} d^{3} m^{2} x^{6} x^{m} e^{m} + 14832 \, a b^{6} d^{3} m x^{7} x^{m} e^{m} + 5040 \, b^{7} d^{3} x^{8} x^{m} e^{m} - 35 \, a^{7} d^{3} m^{6} x x^{m} e^{m} - 478 \, a^{6} b d^{3} m^{5} x^{2} x^{m} e^{m} + 9585 \, a^{5} b^{2} d^{3} m^{4} x^{3} x^{m} e^{m} + 32979 \, a^{4} b^{3} d^{3} m^{3} x^{4} x^{m} e^{m} - 58692 \, a^{3} b^{4} d^{3} m^{2} x^{5} x^{m} e^{m} - 51432 \, a^{2} b^{5} d^{3} m x^{6} x^{m} e^{m} + 5760 \, a b^{6} d^{3} x^{7} x^{m} e^{m} - 511 \, a^{7} d^{3} m^{5} x x^{m} e^{m} - 3580 \, a^{6} b d^{3} m^{4} x^{2} x^{m} e^{m} + 38592 \, a^{5} b^{2} d^{3} m^{3} x^{3} x^{m} e^{m} + 69936 \, a^{4} b^{3} d^{3} m^{2} x^{4} x^{m} e^{m} - 60912 \, a^{3} b^{4} d^{3} m x^{5} x^{m} e^{m} - 20160 \, a^{2} b^{5} d^{3} x^{6} x^{m} e^{m} - 4025 \, a^{7} d^{3} m^{4} x x^{m} e^{m} - 15289 \, a^{6} b d^{3} m^{3} x^{2} x^{m} e^{m} + 86076 \, a^{5} b^{2} d^{3} m^{2} x^{3} x^{m} e^{m} + 74628 \, a^{4} b^{3} d^{3} m x^{4} x^{m} e^{m} - 24192 \, a^{3} b^{4} d^{3} x^{5} x^{m} e^{m} - 18424 \, a^{7} d^{3} m^{3} x x^{m} e^{m} - 36706 \, a^{6} b d^{3} m^{2} x^{2} x^{m} e^{m} + 96144 \, a^{5} b^{2} d^{3} m x^{3} x^{m} e^{m} + 30240 \, a^{4} b^{3} d^{3} x^{4} x^{m} e^{m} - 48860 \, a^{7} d^{3} m^{2} x x^{m} e^{m} - 44712 \, a^{6} b d^{3} m x^{2} x^{m} e^{m} + 40320 \, a^{5} b^{2} d^{3} x^{3} x^{m} e^{m} - 69264 \, a^{7} d^{3} m x x^{m} e^{m} - 20160 \, a^{6} b d^{3} x^{2} x^{m} e^{m} - 40320 \, a^{7} d^{3} x x^{m} e^{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*d^3*m^7*x^8*x^m*e^m + a*b^6*d^3*m^7*x^7*x^m*e^m + 28*b^7*d^3*m^6*x^8*x^m*e^m - 3*a^2*b^5*d^3*m^7*x^6*x^m*e^m + 29*a*b^6*d^3*m^6*x^7*x^m*e^m + 322*b^7*d^3*m^5*x^8*x^m*e^m - 3*a^3*b^4*d^3*m^7*x^5*x^m*e^m - 90*a^2*b^5*d^3*m^6*x^6*x^m*e^m + 343*a*b^6*d^3*m^5*x^7*x^m*e^m + 1960*b^7*d^3*m^4*x^8*x^m*e^m + 3*a^4*b^3*d^3*m^7*x^4*x^m*e^m - 93*a^3*b^4*d^3*m^6*x^5*x^m*e^m - 1098*a^2*b^5*d^3*m^5*x^6*x^m*e^m + 2135*a*b^6*d^3*m^4*x^7*x^m*e^m + 6769*b^7*d^3*m^3*x^8*x^m*e^m + 3*a^5*b^2*d^3*m^7*x^3*x^m*e^m + 96*a^4*b^3*d^3*m^6*x^4*x^m*e^m - 1173*a^3*b^4*d^3*m^5*x^5*x^m*e^m - 7020*a^2*b^5*d^3*m^4*x^6*x^m*e^m + 7504*a*b^6*d^3*m^3*x^7*x^m*e^m + 13132*b^7*d^3*m^2*x^8*x^m*e^m - a^6*b*d^3*m^7*x^2*x^m*e^m + 99*a^5*b^2*d^3*m^6*x^3*x^m*e^m + 1254*a^4*b^3*d^3*m^5*x^4*x^m*e^m - 7743*a^3*b^4*d^3*m^4*x^5*x^m*e^m - 25227*a^2*b^5*d^3*m^3*x^6*x^m*e^m + 14756*a*b^6*d^3*m^2*x^7*x^m*e^m + 13068*b^7*d^3*m*x^8*x^m*e^m - a^7*d^3*m^7*x*x^m*e^m - 34*a^6*b*d^3*m^6*x^2*x^m*e^m + 1341*a^5*b^2*d^3*m^5*x^3*x^m*e^m + 8592*a^4*b^3*d^3*m^4*x^4*x^m*e^m - 28632*a^3*b^4*d^3*m^3*x^5*x^m*e^m - 50490*a^2*b^5*d^3*m^2*x^6*x^m*e^m + 14832*a*b^6*d^3*m*x^7*x^m*e^m + 5040*b^7*d^3*x^8*x^m*e^m - 35*a^7*d^3*m^6*x*x^m*e^m - 478*a^6*b*d^3*m^5*x^2*x^m*e^m + 9585*a^5*b^2*d^3*m^4*x^3*x^m*e^m + 32979*a^4*b^3*d^3*m^3*x^4*x^m*e^m - 58692*a^3*b^4*d^3*m^2*x^5*x^m*e^m - 51432*a^2*b^5*d^3*m*x^6*x^m*e^m + 5760*a*b^6*d^3*x^7*x^m*e^m - 511*a^7*d^3*m^5*x*x^m*e^m - 3580*a^6*b*d^3*m^4*x^2*x^m*e^m + 38592*a^5*b^2*d^3*m^3*x^3*x^m*e^m + 69936*a^4*b^3*d^3*m^2*x^4*x^m*e^m - 60912*a^3*b^4*d^3*m*x^5*x^m*e^m - 20160*a^2*b^5*d^3*x^6*x^m*e^m - 4025*a^7*d^3*m^4*x*x^m*e^m - 15289*a^6*b*d^3*m^3*x^2*x^m*e^m + 86076*a^5*b^2*d^3*m^2*x^3*x^m*e^m + 74628*a^4*b^3*d^3*m*x^4*x^m*e^m - 24192*a^3*b^4*d^3*x^5*x^m*e^m - 18424*a^7*d^3*m^3*x*x^m*e^m - 36706*a^6*b*d^3*m^2*x^2*x^m*e^m + 96144*a^5*b^2*d^3*m*x^3*x^m*e^m + 30240*a^4*b^3*d^3*x^4*x^m*e^m - 48860*a^7*d^3*m^2*x*x^m*e^m - 44712*a^6*b*d^3*m*x^2*x^m*e^m + 40320*a^5*b^2*d^3*x^3*x^m*e^m - 69264*a^7*d^3*m*x*x^m*e^m - 20160*a^6*b*d^3*x^2*x^m*e^m - 40320*a^7*d^3*x*x^m*e^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
63,1,718,0,1.243176," ","integrate((e*x)^m*(b*x+a)^3*(-b*d*x+a*d)^2,x, algorithm=""giac"")","\frac{b^{5} d^{2} m^{5} x^{6} x^{m} e^{m} + a b^{4} d^{2} m^{5} x^{5} x^{m} e^{m} + 15 \, b^{5} d^{2} m^{4} x^{6} x^{m} e^{m} - 2 \, a^{2} b^{3} d^{2} m^{5} x^{4} x^{m} e^{m} + 16 \, a b^{4} d^{2} m^{4} x^{5} x^{m} e^{m} + 85 \, b^{5} d^{2} m^{3} x^{6} x^{m} e^{m} - 2 \, a^{3} b^{2} d^{2} m^{5} x^{3} x^{m} e^{m} - 34 \, a^{2} b^{3} d^{2} m^{4} x^{4} x^{m} e^{m} + 95 \, a b^{4} d^{2} m^{3} x^{5} x^{m} e^{m} + 225 \, b^{5} d^{2} m^{2} x^{6} x^{m} e^{m} + a^{4} b d^{2} m^{5} x^{2} x^{m} e^{m} - 36 \, a^{3} b^{2} d^{2} m^{4} x^{3} x^{m} e^{m} - 214 \, a^{2} b^{3} d^{2} m^{3} x^{4} x^{m} e^{m} + 260 \, a b^{4} d^{2} m^{2} x^{5} x^{m} e^{m} + 274 \, b^{5} d^{2} m x^{6} x^{m} e^{m} + a^{5} d^{2} m^{5} x x^{m} e^{m} + 19 \, a^{4} b d^{2} m^{4} x^{2} x^{m} e^{m} - 242 \, a^{3} b^{2} d^{2} m^{3} x^{3} x^{m} e^{m} - 614 \, a^{2} b^{3} d^{2} m^{2} x^{4} x^{m} e^{m} + 324 \, a b^{4} d^{2} m x^{5} x^{m} e^{m} + 120 \, b^{5} d^{2} x^{6} x^{m} e^{m} + 20 \, a^{5} d^{2} m^{4} x x^{m} e^{m} + 137 \, a^{4} b d^{2} m^{3} x^{2} x^{m} e^{m} - 744 \, a^{3} b^{2} d^{2} m^{2} x^{3} x^{m} e^{m} - 792 \, a^{2} b^{3} d^{2} m x^{4} x^{m} e^{m} + 144 \, a b^{4} d^{2} x^{5} x^{m} e^{m} + 155 \, a^{5} d^{2} m^{3} x x^{m} e^{m} + 461 \, a^{4} b d^{2} m^{2} x^{2} x^{m} e^{m} - 1016 \, a^{3} b^{2} d^{2} m x^{3} x^{m} e^{m} - 360 \, a^{2} b^{3} d^{2} x^{4} x^{m} e^{m} + 580 \, a^{5} d^{2} m^{2} x x^{m} e^{m} + 702 \, a^{4} b d^{2} m x^{2} x^{m} e^{m} - 480 \, a^{3} b^{2} d^{2} x^{3} x^{m} e^{m} + 1044 \, a^{5} d^{2} m x x^{m} e^{m} + 360 \, a^{4} b d^{2} x^{2} x^{m} e^{m} + 720 \, a^{5} d^{2} x x^{m} e^{m}}{m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720}"," ",0,"(b^5*d^2*m^5*x^6*x^m*e^m + a*b^4*d^2*m^5*x^5*x^m*e^m + 15*b^5*d^2*m^4*x^6*x^m*e^m - 2*a^2*b^3*d^2*m^5*x^4*x^m*e^m + 16*a*b^4*d^2*m^4*x^5*x^m*e^m + 85*b^5*d^2*m^3*x^6*x^m*e^m - 2*a^3*b^2*d^2*m^5*x^3*x^m*e^m - 34*a^2*b^3*d^2*m^4*x^4*x^m*e^m + 95*a*b^4*d^2*m^3*x^5*x^m*e^m + 225*b^5*d^2*m^2*x^6*x^m*e^m + a^4*b*d^2*m^5*x^2*x^m*e^m - 36*a^3*b^2*d^2*m^4*x^3*x^m*e^m - 214*a^2*b^3*d^2*m^3*x^4*x^m*e^m + 260*a*b^4*d^2*m^2*x^5*x^m*e^m + 274*b^5*d^2*m*x^6*x^m*e^m + a^5*d^2*m^5*x*x^m*e^m + 19*a^4*b*d^2*m^4*x^2*x^m*e^m - 242*a^3*b^2*d^2*m^3*x^3*x^m*e^m - 614*a^2*b^3*d^2*m^2*x^4*x^m*e^m + 324*a*b^4*d^2*m*x^5*x^m*e^m + 120*b^5*d^2*x^6*x^m*e^m + 20*a^5*d^2*m^4*x*x^m*e^m + 137*a^4*b*d^2*m^3*x^2*x^m*e^m - 744*a^3*b^2*d^2*m^2*x^3*x^m*e^m - 792*a^2*b^3*d^2*m*x^4*x^m*e^m + 144*a*b^4*d^2*x^5*x^m*e^m + 155*a^5*d^2*m^3*x*x^m*e^m + 461*a^4*b*d^2*m^2*x^2*x^m*e^m - 1016*a^3*b^2*d^2*m*x^3*x^m*e^m - 360*a^2*b^3*d^2*x^4*x^m*e^m + 580*a^5*d^2*m^2*x*x^m*e^m + 702*a^4*b*d^2*m*x^2*x^m*e^m - 480*a^3*b^2*d^2*x^3*x^m*e^m + 1044*a^5*d^2*m*x*x^m*e^m + 360*a^4*b*d^2*x^2*x^m*e^m + 720*a^5*d^2*x*x^m*e^m)/(m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)","B",0
64,1,273,0,1.227410," ","integrate((e*x)^m*(b*x+a)^2*(-b*d*x+a*d),x, algorithm=""giac"")","-\frac{b^{3} d m^{3} x^{4} x^{m} e^{m} + a b^{2} d m^{3} x^{3} x^{m} e^{m} + 6 \, b^{3} d m^{2} x^{4} x^{m} e^{m} - a^{2} b d m^{3} x^{2} x^{m} e^{m} + 7 \, a b^{2} d m^{2} x^{3} x^{m} e^{m} + 11 \, b^{3} d m x^{4} x^{m} e^{m} - a^{3} d m^{3} x x^{m} e^{m} - 8 \, a^{2} b d m^{2} x^{2} x^{m} e^{m} + 14 \, a b^{2} d m x^{3} x^{m} e^{m} + 6 \, b^{3} d x^{4} x^{m} e^{m} - 9 \, a^{3} d m^{2} x x^{m} e^{m} - 19 \, a^{2} b d m x^{2} x^{m} e^{m} + 8 \, a b^{2} d x^{3} x^{m} e^{m} - 26 \, a^{3} d m x x^{m} e^{m} - 12 \, a^{2} b d x^{2} x^{m} e^{m} - 24 \, a^{3} d x x^{m} e^{m}}{m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24}"," ",0,"-(b^3*d*m^3*x^4*x^m*e^m + a*b^2*d*m^3*x^3*x^m*e^m + 6*b^3*d*m^2*x^4*x^m*e^m - a^2*b*d*m^3*x^2*x^m*e^m + 7*a*b^2*d*m^2*x^3*x^m*e^m + 11*b^3*d*m*x^4*x^m*e^m - a^3*d*m^3*x*x^m*e^m - 8*a^2*b*d*m^2*x^2*x^m*e^m + 14*a*b^2*d*m*x^3*x^m*e^m + 6*b^3*d*x^4*x^m*e^m - 9*a^3*d*m^2*x*x^m*e^m - 19*a^2*b*d*m*x^2*x^m*e^m + 8*a*b^2*d*x^3*x^m*e^m - 26*a^3*d*m*x*x^m*e^m - 12*a^2*b*d*x^2*x^m*e^m - 24*a^3*d*x*x^m*e^m)/(m^4 + 10*m^3 + 35*m^2 + 50*m + 24)","B",0
65,0,0,0,0.000000," ","integrate((e*x)^m/(b*x+a)/(-b*d*x+a*d)^2,x, algorithm=""giac"")","\int \frac{\left(e x\right)^{m}}{{\left(b d x - a d\right)}^{2} {\left(b x + a\right)}}\,{d x}"," ",0,"integrate((e*x)^m/((b*d*x - a*d)^2*(b*x + a)), x)","F",0
66,0,0,0,0.000000," ","integrate((e*x)^m/(b*x+a)^2/(-b*d*x+a*d)^3,x, algorithm=""giac"")","\int -\frac{\left(e x\right)^{m}}{{\left(b d x - a d\right)}^{3} {\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate(-(e*x)^m/((b*d*x - a*d)^3*(b*x + a)^2), x)","F",0
67,0,0,0,0.000000," ","integrate((e*x)^m/(b*x+a)^3/(-b*d*x+a*d)^4,x, algorithm=""giac"")","\int \frac{\left(e x\right)^{m}}{{\left(b d x - a d\right)}^{4} {\left(b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*x)^m/((b*d*x - a*d)^4*(b*x + a)^3), x)","F",0
68,1,720,0,1.343796," ","integrate((e*x)^m*(b*x+a)*(-b*c*x+a*c)^4,x, algorithm=""giac"")","\frac{b^{5} c^{4} m^{5} x^{6} x^{m} e^{m} - 3 \, a b^{4} c^{4} m^{5} x^{5} x^{m} e^{m} + 15 \, b^{5} c^{4} m^{4} x^{6} x^{m} e^{m} + 2 \, a^{2} b^{3} c^{4} m^{5} x^{4} x^{m} e^{m} - 48 \, a b^{4} c^{4} m^{4} x^{5} x^{m} e^{m} + 85 \, b^{5} c^{4} m^{3} x^{6} x^{m} e^{m} + 2 \, a^{3} b^{2} c^{4} m^{5} x^{3} x^{m} e^{m} + 34 \, a^{2} b^{3} c^{4} m^{4} x^{4} x^{m} e^{m} - 285 \, a b^{4} c^{4} m^{3} x^{5} x^{m} e^{m} + 225 \, b^{5} c^{4} m^{2} x^{6} x^{m} e^{m} - 3 \, a^{4} b c^{4} m^{5} x^{2} x^{m} e^{m} + 36 \, a^{3} b^{2} c^{4} m^{4} x^{3} x^{m} e^{m} + 214 \, a^{2} b^{3} c^{4} m^{3} x^{4} x^{m} e^{m} - 780 \, a b^{4} c^{4} m^{2} x^{5} x^{m} e^{m} + 274 \, b^{5} c^{4} m x^{6} x^{m} e^{m} + a^{5} c^{4} m^{5} x x^{m} e^{m} - 57 \, a^{4} b c^{4} m^{4} x^{2} x^{m} e^{m} + 242 \, a^{3} b^{2} c^{4} m^{3} x^{3} x^{m} e^{m} + 614 \, a^{2} b^{3} c^{4} m^{2} x^{4} x^{m} e^{m} - 972 \, a b^{4} c^{4} m x^{5} x^{m} e^{m} + 120 \, b^{5} c^{4} x^{6} x^{m} e^{m} + 20 \, a^{5} c^{4} m^{4} x x^{m} e^{m} - 411 \, a^{4} b c^{4} m^{3} x^{2} x^{m} e^{m} + 744 \, a^{3} b^{2} c^{4} m^{2} x^{3} x^{m} e^{m} + 792 \, a^{2} b^{3} c^{4} m x^{4} x^{m} e^{m} - 432 \, a b^{4} c^{4} x^{5} x^{m} e^{m} + 155 \, a^{5} c^{4} m^{3} x x^{m} e^{m} - 1383 \, a^{4} b c^{4} m^{2} x^{2} x^{m} e^{m} + 1016 \, a^{3} b^{2} c^{4} m x^{3} x^{m} e^{m} + 360 \, a^{2} b^{3} c^{4} x^{4} x^{m} e^{m} + 580 \, a^{5} c^{4} m^{2} x x^{m} e^{m} - 2106 \, a^{4} b c^{4} m x^{2} x^{m} e^{m} + 480 \, a^{3} b^{2} c^{4} x^{3} x^{m} e^{m} + 1044 \, a^{5} c^{4} m x x^{m} e^{m} - 1080 \, a^{4} b c^{4} x^{2} x^{m} e^{m} + 720 \, a^{5} c^{4} x x^{m} e^{m}}{m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720}"," ",0,"(b^5*c^4*m^5*x^6*x^m*e^m - 3*a*b^4*c^4*m^5*x^5*x^m*e^m + 15*b^5*c^4*m^4*x^6*x^m*e^m + 2*a^2*b^3*c^4*m^5*x^4*x^m*e^m - 48*a*b^4*c^4*m^4*x^5*x^m*e^m + 85*b^5*c^4*m^3*x^6*x^m*e^m + 2*a^3*b^2*c^4*m^5*x^3*x^m*e^m + 34*a^2*b^3*c^4*m^4*x^4*x^m*e^m - 285*a*b^4*c^4*m^3*x^5*x^m*e^m + 225*b^5*c^4*m^2*x^6*x^m*e^m - 3*a^4*b*c^4*m^5*x^2*x^m*e^m + 36*a^3*b^2*c^4*m^4*x^3*x^m*e^m + 214*a^2*b^3*c^4*m^3*x^4*x^m*e^m - 780*a*b^4*c^4*m^2*x^5*x^m*e^m + 274*b^5*c^4*m*x^6*x^m*e^m + a^5*c^4*m^5*x*x^m*e^m - 57*a^4*b*c^4*m^4*x^2*x^m*e^m + 242*a^3*b^2*c^4*m^3*x^3*x^m*e^m + 614*a^2*b^3*c^4*m^2*x^4*x^m*e^m - 972*a*b^4*c^4*m*x^5*x^m*e^m + 120*b^5*c^4*x^6*x^m*e^m + 20*a^5*c^4*m^4*x*x^m*e^m - 411*a^4*b*c^4*m^3*x^2*x^m*e^m + 744*a^3*b^2*c^4*m^2*x^3*x^m*e^m + 792*a^2*b^3*c^4*m*x^4*x^m*e^m - 432*a*b^4*c^4*x^5*x^m*e^m + 155*a^5*c^4*m^3*x*x^m*e^m - 1383*a^4*b*c^4*m^2*x^2*x^m*e^m + 1016*a^3*b^2*c^4*m*x^3*x^m*e^m + 360*a^2*b^3*c^4*x^4*x^m*e^m + 580*a^5*c^4*m^2*x*x^m*e^m - 2106*a^4*b*c^4*m*x^2*x^m*e^m + 480*a^3*b^2*c^4*x^3*x^m*e^m + 1044*a^5*c^4*m*x*x^m*e^m - 1080*a^4*b*c^4*x^2*x^m*e^m + 720*a^5*c^4*x*x^m*e^m)/(m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)","B",0
69,1,306,0,1.261589," ","integrate((e*x)^m*(b*x+a)*(-b*c*x+a*c)^3,x, algorithm=""giac"")","-\frac{b^{4} c^{3} m^{3} x^{5} x^{m} e^{m} - 2 \, a b^{3} c^{3} m^{3} x^{4} x^{m} e^{m} + 7 \, b^{4} c^{3} m^{2} x^{5} x^{m} e^{m} - 16 \, a b^{3} c^{3} m^{2} x^{4} x^{m} e^{m} + 14 \, b^{4} c^{3} m x^{5} x^{m} e^{m} + 2 \, a^{3} b c^{3} m^{3} x^{2} x^{m} e^{m} - 34 \, a b^{3} c^{3} m x^{4} x^{m} e^{m} + 8 \, b^{4} c^{3} x^{5} x^{m} e^{m} - a^{4} c^{3} m^{3} x x^{m} e^{m} + 20 \, a^{3} b c^{3} m^{2} x^{2} x^{m} e^{m} - 20 \, a b^{3} c^{3} x^{4} x^{m} e^{m} - 11 \, a^{4} c^{3} m^{2} x x^{m} e^{m} + 58 \, a^{3} b c^{3} m x^{2} x^{m} e^{m} - 38 \, a^{4} c^{3} m x x^{m} e^{m} + 40 \, a^{3} b c^{3} x^{2} x^{m} e^{m} - 40 \, a^{4} c^{3} x x^{m} e^{m}}{m^{4} + 12 \, m^{3} + 49 \, m^{2} + 78 \, m + 40}"," ",0,"-(b^4*c^3*m^3*x^5*x^m*e^m - 2*a*b^3*c^3*m^3*x^4*x^m*e^m + 7*b^4*c^3*m^2*x^5*x^m*e^m - 16*a*b^3*c^3*m^2*x^4*x^m*e^m + 14*b^4*c^3*m*x^5*x^m*e^m + 2*a^3*b*c^3*m^3*x^2*x^m*e^m - 34*a*b^3*c^3*m*x^4*x^m*e^m + 8*b^4*c^3*x^5*x^m*e^m - a^4*c^3*m^3*x*x^m*e^m + 20*a^3*b*c^3*m^2*x^2*x^m*e^m - 20*a*b^3*c^3*x^4*x^m*e^m - 11*a^4*c^3*m^2*x*x^m*e^m + 58*a^3*b*c^3*m*x^2*x^m*e^m - 38*a^4*c^3*m*x*x^m*e^m + 40*a^3*b*c^3*x^2*x^m*e^m - 40*a^4*c^3*x*x^m*e^m)/(m^4 + 12*m^3 + 49*m^2 + 78*m + 40)","B",0
70,1,304,0,1.268848," ","integrate((e*x)^m*(b*x+a)*(-b*c*x+a*c)^2,x, algorithm=""giac"")","\frac{b^{3} c^{2} m^{3} x^{4} x^{m} e^{m} - a b^{2} c^{2} m^{3} x^{3} x^{m} e^{m} + 6 \, b^{3} c^{2} m^{2} x^{4} x^{m} e^{m} - a^{2} b c^{2} m^{3} x^{2} x^{m} e^{m} - 7 \, a b^{2} c^{2} m^{2} x^{3} x^{m} e^{m} + 11 \, b^{3} c^{2} m x^{4} x^{m} e^{m} + a^{3} c^{2} m^{3} x x^{m} e^{m} - 8 \, a^{2} b c^{2} m^{2} x^{2} x^{m} e^{m} - 14 \, a b^{2} c^{2} m x^{3} x^{m} e^{m} + 6 \, b^{3} c^{2} x^{4} x^{m} e^{m} + 9 \, a^{3} c^{2} m^{2} x x^{m} e^{m} - 19 \, a^{2} b c^{2} m x^{2} x^{m} e^{m} - 8 \, a b^{2} c^{2} x^{3} x^{m} e^{m} + 26 \, a^{3} c^{2} m x x^{m} e^{m} - 12 \, a^{2} b c^{2} x^{2} x^{m} e^{m} + 24 \, a^{3} c^{2} x x^{m} e^{m}}{m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24}"," ",0,"(b^3*c^2*m^3*x^4*x^m*e^m - a*b^2*c^2*m^3*x^3*x^m*e^m + 6*b^3*c^2*m^2*x^4*x^m*e^m - a^2*b*c^2*m^3*x^2*x^m*e^m - 7*a*b^2*c^2*m^2*x^3*x^m*e^m + 11*b^3*c^2*m*x^4*x^m*e^m + a^3*c^2*m^3*x*x^m*e^m - 8*a^2*b*c^2*m^2*x^2*x^m*e^m - 14*a*b^2*c^2*m*x^3*x^m*e^m + 6*b^3*c^2*x^4*x^m*e^m + 9*a^3*c^2*m^2*x*x^m*e^m - 19*a^2*b*c^2*m*x^2*x^m*e^m - 8*a*b^2*c^2*x^3*x^m*e^m + 26*a^3*c^2*m*x*x^m*e^m - 12*a^2*b*c^2*x^2*x^m*e^m + 24*a^3*c^2*x*x^m*e^m)/(m^4 + 10*m^3 + 35*m^2 + 50*m + 24)","B",0
71,1,65,0,1.235157," ","integrate((e*x)^m*(b*x+a)*(-b*c*x+a*c),x, algorithm=""giac"")","-\frac{b^{2} c m x^{3} x^{m} e^{m} + b^{2} c x^{3} x^{m} e^{m} - a^{2} c m x x^{m} e^{m} - 3 \, a^{2} c x x^{m} e^{m}}{m^{2} + 4 \, m + 3}"," ",0,"-(b^2*c*m*x^3*x^m*e^m + b^2*c*x^3*x^m*e^m - a^2*c*m*x*x^m*e^m - 3*a^2*c*x*x^m*e^m)/(m^2 + 4*m + 3)","A",0
72,0,0,0,0.000000," ","integrate((e*x)^m*(b*x+a)/(-b*c*x+a*c),x, algorithm=""giac"")","\int -\frac{{\left(b x + a\right)} \left(e x\right)^{m}}{b c x - a c}\,{d x}"," ",0,"integrate(-(b*x + a)*(e*x)^m/(b*c*x - a*c), x)","F",0
73,0,0,0,0.000000," ","integrate((e*x)^m*(b*x+a)/(-b*c*x+a*c)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)} \left(e x\right)^{m}}{{\left(b c x - a c\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)*(e*x)^m/(b*c*x - a*c)^2, x)","F",0
74,0,0,0,0.000000," ","integrate((e*x)^m*(-b*c*x+a*c)^3/(b*x+a),x, algorithm=""giac"")","\int -\frac{{\left(b c x - a c\right)}^{3} \left(e x\right)^{m}}{b x + a}\,{d x}"," ",0,"integrate(-(b*c*x - a*c)^3*(e*x)^m/(b*x + a), x)","F",0
75,0,0,0,0.000000," ","integrate((e*x)^m*(-b*c*x+a*c)^2/(b*x+a),x, algorithm=""giac"")","\int \frac{{\left(b c x - a c\right)}^{2} \left(e x\right)^{m}}{b x + a}\,{d x}"," ",0,"integrate((b*c*x - a*c)^2*(e*x)^m/(b*x + a), x)","F",0
76,0,0,0,0.000000," ","integrate((e*x)^m*(-b*c*x+a*c)/(b*x+a),x, algorithm=""giac"")","\int -\frac{{\left(b c x - a c\right)} \left(e x\right)^{m}}{b x + a}\,{d x}"," ",0,"integrate(-(b*c*x - a*c)*(e*x)^m/(b*x + a), x)","F",0
77,0,0,0,0.000000," ","integrate((e*x)^m/(b*x+a)/(-b*c*x+a*c),x, algorithm=""giac"")","\int -\frac{\left(e x\right)^{m}}{{\left(b c x - a c\right)} {\left(b x + a\right)}}\,{d x}"," ",0,"integrate(-(e*x)^m/((b*c*x - a*c)*(b*x + a)), x)","F",0
78,0,0,0,0.000000," ","integrate((e*x)^m/(b*x+a)/(-b*c*x+a*c)^2,x, algorithm=""giac"")","\int \frac{\left(e x\right)^{m}}{{\left(b c x - a c\right)}^{2} {\left(b x + a\right)}}\,{d x}"," ",0,"integrate((e*x)^m/((b*c*x - a*c)^2*(b*x + a)), x)","F",0
79,0,0,0,0.000000," ","integrate((e*x)^m/(b*x+a)/(-b*c*x+a*c)^3,x, algorithm=""giac"")","\int -\frac{\left(e x\right)^{m}}{{\left(b c x - a c\right)}^{3} {\left(b x + a\right)}}\,{d x}"," ",0,"integrate(-(e*x)^m/((b*c*x - a*c)^3*(b*x + a)), x)","F",0
80,1,29,0,1.216053," ","integrate(x^4*(b*x+a)*(B*x+A),x, algorithm=""giac"")","\frac{1}{7} \, B b x^{7} + \frac{1}{6} \, B a x^{6} + \frac{1}{6} \, A b x^{6} + \frac{1}{5} \, A a x^{5}"," ",0,"1/7*B*b*x^7 + 1/6*B*a*x^6 + 1/6*A*b*x^6 + 1/5*A*a*x^5","A",0
81,1,29,0,1.223230," ","integrate(x^3*(b*x+a)*(B*x+A),x, algorithm=""giac"")","\frac{1}{6} \, B b x^{6} + \frac{1}{5} \, B a x^{5} + \frac{1}{5} \, A b x^{5} + \frac{1}{4} \, A a x^{4}"," ",0,"1/6*B*b*x^6 + 1/5*B*a*x^5 + 1/5*A*b*x^5 + 1/4*A*a*x^4","A",0
82,1,29,0,1.272579," ","integrate(x^2*(b*x+a)*(B*x+A),x, algorithm=""giac"")","\frac{1}{5} \, B b x^{5} + \frac{1}{4} \, B a x^{4} + \frac{1}{4} \, A b x^{4} + \frac{1}{3} \, A a x^{3}"," ",0,"1/5*B*b*x^5 + 1/4*B*a*x^4 + 1/4*A*b*x^4 + 1/3*A*a*x^3","A",0
83,1,29,0,1.208289," ","integrate(x*(b*x+a)*(B*x+A),x, algorithm=""giac"")","\frac{1}{4} \, B b x^{4} + \frac{1}{3} \, B a x^{3} + \frac{1}{3} \, A b x^{3} + \frac{1}{2} \, A a x^{2}"," ",0,"1/4*B*b*x^4 + 1/3*B*a*x^3 + 1/3*A*b*x^3 + 1/2*A*a*x^2","A",0
84,1,26,0,1.252082," ","integrate((b*x+a)*(B*x+A),x, algorithm=""giac"")","\frac{1}{3} \, B b x^{3} + \frac{1}{2} \, B a x^{2} + \frac{1}{2} \, A b x^{2} + A a x"," ",0,"1/3*B*b*x^3 + 1/2*B*a*x^2 + 1/2*A*b*x^2 + A*a*x","A",0
85,1,22,0,1.284182," ","integrate((b*x+a)*(B*x+A)/x,x, algorithm=""giac"")","\frac{1}{2} \, B b x^{2} + B a x + A b x + A a \log\left({\left| x \right|}\right)"," ",0,"1/2*B*b*x^2 + B*a*x + A*b*x + A*a*log(abs(x))","A",0
86,1,23,0,1.246044," ","integrate((b*x+a)*(B*x+A)/x^2,x, algorithm=""giac"")","B b x + {\left(B a + A b\right)} \log\left({\left| x \right|}\right) - \frac{A a}{x}"," ",0,"B*b*x + (B*a + A*b)*log(abs(x)) - A*a/x","A",0
87,1,26,0,1.216838," ","integrate((b*x+a)*(B*x+A)/x^3,x, algorithm=""giac"")","B b \log\left({\left| x \right|}\right) - \frac{A a + 2 \, {\left(B a + A b\right)} x}{2 \, x^{2}}"," ",0,"B*b*log(abs(x)) - 1/2*(A*a + 2*(B*a + A*b)*x)/x^2","A",0
88,1,27,0,1.251415," ","integrate((b*x+a)*(B*x+A)/x^4,x, algorithm=""giac"")","-\frac{6 \, B b x^{2} + 3 \, B a x + 3 \, A b x + 2 \, A a}{6 \, x^{3}}"," ",0,"-1/6*(6*B*b*x^2 + 3*B*a*x + 3*A*b*x + 2*A*a)/x^3","A",0
89,1,27,0,1.250170," ","integrate((b*x+a)*(B*x+A)/x^5,x, algorithm=""giac"")","-\frac{6 \, B b x^{2} + 4 \, B a x + 4 \, A b x + 3 \, A a}{12 \, x^{4}}"," ",0,"-1/12*(6*B*b*x^2 + 4*B*a*x + 4*A*b*x + 3*A*a)/x^4","A",0
90,1,27,0,1.265717," ","integrate((b*x+a)*(B*x+A)/x^6,x, algorithm=""giac"")","-\frac{20 \, B b x^{2} + 15 \, B a x + 15 \, A b x + 12 \, A a}{60 \, x^{5}}"," ",0,"-1/60*(20*B*b*x^2 + 15*B*a*x + 15*A*b*x + 12*A*a)/x^5","A",0
91,1,53,0,1.227812," ","integrate(x^4*(b*x+a)^2*(B*x+A),x, algorithm=""giac"")","\frac{1}{8} \, B b^{2} x^{8} + \frac{2}{7} \, B a b x^{7} + \frac{1}{7} \, A b^{2} x^{7} + \frac{1}{6} \, B a^{2} x^{6} + \frac{1}{3} \, A a b x^{6} + \frac{1}{5} \, A a^{2} x^{5}"," ",0,"1/8*B*b^2*x^8 + 2/7*B*a*b*x^7 + 1/7*A*b^2*x^7 + 1/6*B*a^2*x^6 + 1/3*A*a*b*x^6 + 1/5*A*a^2*x^5","A",0
92,1,53,0,1.272749," ","integrate(x^3*(b*x+a)^2*(B*x+A),x, algorithm=""giac"")","\frac{1}{7} \, B b^{2} x^{7} + \frac{1}{3} \, B a b x^{6} + \frac{1}{6} \, A b^{2} x^{6} + \frac{1}{5} \, B a^{2} x^{5} + \frac{2}{5} \, A a b x^{5} + \frac{1}{4} \, A a^{2} x^{4}"," ",0,"1/7*B*b^2*x^7 + 1/3*B*a*b*x^6 + 1/6*A*b^2*x^6 + 1/5*B*a^2*x^5 + 2/5*A*a*b*x^5 + 1/4*A*a^2*x^4","A",0
93,1,53,0,1.235421," ","integrate(x^2*(b*x+a)^2*(B*x+A),x, algorithm=""giac"")","\frac{1}{6} \, B b^{2} x^{6} + \frac{2}{5} \, B a b x^{5} + \frac{1}{5} \, A b^{2} x^{5} + \frac{1}{4} \, B a^{2} x^{4} + \frac{1}{2} \, A a b x^{4} + \frac{1}{3} \, A a^{2} x^{3}"," ",0,"1/6*B*b^2*x^6 + 2/5*B*a*b*x^5 + 1/5*A*b^2*x^5 + 1/4*B*a^2*x^4 + 1/2*A*a*b*x^4 + 1/3*A*a^2*x^3","A",0
94,1,53,0,1.274362," ","integrate(x*(b*x+a)^2*(B*x+A),x, algorithm=""giac"")","\frac{1}{5} \, B b^{2} x^{5} + \frac{1}{2} \, B a b x^{4} + \frac{1}{4} \, A b^{2} x^{4} + \frac{1}{3} \, B a^{2} x^{3} + \frac{2}{3} \, A a b x^{3} + \frac{1}{2} \, A a^{2} x^{2}"," ",0,"1/5*B*b^2*x^5 + 1/2*B*a*b*x^4 + 1/4*A*b^2*x^4 + 1/3*B*a^2*x^3 + 2/3*A*a*b*x^3 + 1/2*A*a^2*x^2","A",0
95,1,49,0,1.297595," ","integrate((b*x+a)^2*(B*x+A),x, algorithm=""giac"")","\frac{1}{4} \, B b^{2} x^{4} + \frac{2}{3} \, B a b x^{3} + \frac{1}{3} \, A b^{2} x^{3} + \frac{1}{2} \, B a^{2} x^{2} + A a b x^{2} + A a^{2} x"," ",0,"1/4*B*b^2*x^4 + 2/3*B*a*b*x^3 + 1/3*A*b^2*x^3 + 1/2*B*a^2*x^2 + A*a*b*x^2 + A*a^2*x","A",0
96,1,46,0,1.346343," ","integrate((b*x+a)^2*(B*x+A)/x,x, algorithm=""giac"")","\frac{1}{3} \, B b^{2} x^{3} + B a b x^{2} + \frac{1}{2} \, A b^{2} x^{2} + B a^{2} x + 2 \, A a b x + A a^{2} \log\left({\left| x \right|}\right)"," ",0,"1/3*B*b^2*x^3 + B*a*b*x^2 + 1/2*A*b^2*x^2 + B*a^2*x + 2*A*a*b*x + A*a^2*log(abs(x))","A",0
97,1,46,0,1.259241," ","integrate((b*x+a)^2*(B*x+A)/x^2,x, algorithm=""giac"")","\frac{1}{2} \, B b^{2} x^{2} + 2 \, B a b x + A b^{2} x - \frac{A a^{2}}{x} + {\left(B a^{2} + 2 \, A a b\right)} \log\left({\left| x \right|}\right)"," ",0,"1/2*B*b^2*x^2 + 2*B*a*b*x + A*b^2*x - A*a^2/x + (B*a^2 + 2*A*a*b)*log(abs(x))","A",0
98,1,47,0,1.193039," ","integrate((b*x+a)^2*(B*x+A)/x^3,x, algorithm=""giac"")","B b^{2} x + {\left(2 \, B a b + A b^{2}\right)} \log\left({\left| x \right|}\right) - \frac{A a^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} x}{2 \, x^{2}}"," ",0,"B*b^2*x + (2*B*a*b + A*b^2)*log(abs(x)) - 1/2*(A*a^2 + 2*(B*a^2 + 2*A*a*b)*x)/x^2","A",0
99,1,51,0,1.157112," ","integrate((b*x+a)^2*(B*x+A)/x^4,x, algorithm=""giac"")","B b^{2} \log\left({\left| x \right|}\right) - \frac{2 \, A a^{2} + 6 \, {\left(2 \, B a b + A b^{2}\right)} x^{2} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} x}{6 \, x^{3}}"," ",0,"B*b^2*log(abs(x)) - 1/6*(2*A*a^2 + 6*(2*B*a*b + A*b^2)*x^2 + 3*(B*a^2 + 2*A*a*b)*x)/x^3","A",0
100,1,51,0,1.255932," ","integrate((b*x+a)^2*(B*x+A)/x^5,x, algorithm=""giac"")","-\frac{12 \, B b^{2} x^{3} + 12 \, B a b x^{2} + 6 \, A b^{2} x^{2} + 4 \, B a^{2} x + 8 \, A a b x + 3 \, A a^{2}}{12 \, x^{4}}"," ",0,"-1/12*(12*B*b^2*x^3 + 12*B*a*b*x^2 + 6*A*b^2*x^2 + 4*B*a^2*x + 8*A*a*b*x + 3*A*a^2)/x^4","A",0
101,1,51,0,1.203467," ","integrate((b*x+a)^2*(B*x+A)/x^6,x, algorithm=""giac"")","-\frac{30 \, B b^{2} x^{3} + 40 \, B a b x^{2} + 20 \, A b^{2} x^{2} + 15 \, B a^{2} x + 30 \, A a b x + 12 \, A a^{2}}{60 \, x^{5}}"," ",0,"-1/60*(30*B*b^2*x^3 + 40*B*a*b*x^2 + 20*A*b^2*x^2 + 15*B*a^2*x + 30*A*a*b*x + 12*A*a^2)/x^5","A",0
102,1,51,0,1.252867," ","integrate((b*x+a)^2*(B*x+A)/x^7,x, algorithm=""giac"")","-\frac{20 \, B b^{2} x^{3} + 30 \, B a b x^{2} + 15 \, A b^{2} x^{2} + 12 \, B a^{2} x + 24 \, A a b x + 10 \, A a^{2}}{60 \, x^{6}}"," ",0,"-1/60*(20*B*b^2*x^3 + 30*B*a*b*x^2 + 15*A*b^2*x^2 + 12*B*a^2*x + 24*A*a*b*x + 10*A*a^2)/x^6","A",0
103,1,51,0,1.210317," ","integrate((b*x+a)^2*(B*x+A)/x^8,x, algorithm=""giac"")","-\frac{105 \, B b^{2} x^{3} + 168 \, B a b x^{2} + 84 \, A b^{2} x^{2} + 70 \, B a^{2} x + 140 \, A a b x + 60 \, A a^{2}}{420 \, x^{7}}"," ",0,"-1/420*(105*B*b^2*x^3 + 168*B*a*b*x^2 + 84*A*b^2*x^2 + 70*B*a^2*x + 140*A*a*b*x + 60*A*a^2)/x^7","A",0
104,1,77,0,1.249972," ","integrate(x^4*(b*x+a)^3*(B*x+A),x, algorithm=""giac"")","\frac{1}{9} \, B b^{3} x^{9} + \frac{3}{8} \, B a b^{2} x^{8} + \frac{1}{8} \, A b^{3} x^{8} + \frac{3}{7} \, B a^{2} b x^{7} + \frac{3}{7} \, A a b^{2} x^{7} + \frac{1}{6} \, B a^{3} x^{6} + \frac{1}{2} \, A a^{2} b x^{6} + \frac{1}{5} \, A a^{3} x^{5}"," ",0,"1/9*B*b^3*x^9 + 3/8*B*a*b^2*x^8 + 1/8*A*b^3*x^8 + 3/7*B*a^2*b*x^7 + 3/7*A*a*b^2*x^7 + 1/6*B*a^3*x^6 + 1/2*A*a^2*b*x^6 + 1/5*A*a^3*x^5","A",0
105,1,77,0,1.163124," ","integrate(x^3*(b*x+a)^3*(B*x+A),x, algorithm=""giac"")","\frac{1}{8} \, B b^{3} x^{8} + \frac{3}{7} \, B a b^{2} x^{7} + \frac{1}{7} \, A b^{3} x^{7} + \frac{1}{2} \, B a^{2} b x^{6} + \frac{1}{2} \, A a b^{2} x^{6} + \frac{1}{5} \, B a^{3} x^{5} + \frac{3}{5} \, A a^{2} b x^{5} + \frac{1}{4} \, A a^{3} x^{4}"," ",0,"1/8*B*b^3*x^8 + 3/7*B*a*b^2*x^7 + 1/7*A*b^3*x^7 + 1/2*B*a^2*b*x^6 + 1/2*A*a*b^2*x^6 + 1/5*B*a^3*x^5 + 3/5*A*a^2*b*x^5 + 1/4*A*a^3*x^4","A",0
106,1,77,0,1.218734," ","integrate(x^2*(b*x+a)^3*(B*x+A),x, algorithm=""giac"")","\frac{1}{7} \, B b^{3} x^{7} + \frac{1}{2} \, B a b^{2} x^{6} + \frac{1}{6} \, A b^{3} x^{6} + \frac{3}{5} \, B a^{2} b x^{5} + \frac{3}{5} \, A a b^{2} x^{5} + \frac{1}{4} \, B a^{3} x^{4} + \frac{3}{4} \, A a^{2} b x^{4} + \frac{1}{3} \, A a^{3} x^{3}"," ",0,"1/7*B*b^3*x^7 + 1/2*B*a*b^2*x^6 + 1/6*A*b^3*x^6 + 3/5*B*a^2*b*x^5 + 3/5*A*a*b^2*x^5 + 1/4*B*a^3*x^4 + 3/4*A*a^2*b*x^4 + 1/3*A*a^3*x^3","A",0
107,1,76,0,1.251944," ","integrate(x*(b*x+a)^3*(B*x+A),x, algorithm=""giac"")","\frac{1}{6} \, B b^{3} x^{6} + \frac{3}{5} \, B a b^{2} x^{5} + \frac{1}{5} \, A b^{3} x^{5} + \frac{3}{4} \, B a^{2} b x^{4} + \frac{3}{4} \, A a b^{2} x^{4} + \frac{1}{3} \, B a^{3} x^{3} + A a^{2} b x^{3} + \frac{1}{2} \, A a^{3} x^{2}"," ",0,"1/6*B*b^3*x^6 + 3/5*B*a*b^2*x^5 + 1/5*A*b^3*x^5 + 3/4*B*a^2*b*x^4 + 3/4*A*a*b^2*x^4 + 1/3*B*a^3*x^3 + A*a^2*b*x^3 + 1/2*A*a^3*x^2","A",0
108,1,72,0,1.322002," ","integrate((b*x+a)^3*(B*x+A),x, algorithm=""giac"")","\frac{1}{5} \, B b^{3} x^{5} + \frac{3}{4} \, B a b^{2} x^{4} + \frac{1}{4} \, A b^{3} x^{4} + B a^{2} b x^{3} + A a b^{2} x^{3} + \frac{1}{2} \, B a^{3} x^{2} + \frac{3}{2} \, A a^{2} b x^{2} + A a^{3} x"," ",0,"1/5*B*b^3*x^5 + 3/4*B*a*b^2*x^4 + 1/4*A*b^3*x^4 + B*a^2*b*x^3 + A*a*b^2*x^3 + 1/2*B*a^3*x^2 + 3/2*A*a^2*b*x^2 + A*a^3*x","B",0
109,1,70,0,1.173274," ","integrate((b*x+a)^3*(B*x+A)/x,x, algorithm=""giac"")","\frac{1}{4} \, B b^{3} x^{4} + B a b^{2} x^{3} + \frac{1}{3} \, A b^{3} x^{3} + \frac{3}{2} \, B a^{2} b x^{2} + \frac{3}{2} \, A a b^{2} x^{2} + B a^{3} x + 3 \, A a^{2} b x + A a^{3} \log\left({\left| x \right|}\right)"," ",0,"1/4*B*b^3*x^4 + B*a*b^2*x^3 + 1/3*A*b^3*x^3 + 3/2*B*a^2*b*x^2 + 3/2*A*a*b^2*x^2 + B*a^3*x + 3*A*a^2*b*x + A*a^3*log(abs(x))","A",0
110,1,71,0,1.271926," ","integrate((b*x+a)^3*(B*x+A)/x^2,x, algorithm=""giac"")","\frac{1}{3} \, B b^{3} x^{3} + \frac{3}{2} \, B a b^{2} x^{2} + \frac{1}{2} \, A b^{3} x^{2} + 3 \, B a^{2} b x + 3 \, A a b^{2} x - \frac{A a^{3}}{x} + {\left(B a^{3} + 3 \, A a^{2} b\right)} \log\left({\left| x \right|}\right)"," ",0,"1/3*B*b^3*x^3 + 3/2*B*a*b^2*x^2 + 1/2*A*b^3*x^2 + 3*B*a^2*b*x + 3*A*a*b^2*x - A*a^3/x + (B*a^3 + 3*A*a^2*b)*log(abs(x))","A",0
111,1,69,0,1.228691," ","integrate((b*x+a)^3*(B*x+A)/x^3,x, algorithm=""giac"")","\frac{1}{2} \, B b^{3} x^{2} + 3 \, B a b^{2} x + A b^{3} x + 3 \, {\left(B a^{2} b + A a b^{2}\right)} \log\left({\left| x \right|}\right) - \frac{A a^{3} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x}{2 \, x^{2}}"," ",0,"1/2*B*b^3*x^2 + 3*B*a*b^2*x + A*b^3*x + 3*(B*a^2*b + A*a*b^2)*log(abs(x)) - 1/2*(A*a^3 + 2*(B*a^3 + 3*A*a^2*b)*x)/x^2","A",0
112,1,70,0,1.256546," ","integrate((b*x+a)^3*(B*x+A)/x^4,x, algorithm=""giac"")","B b^{3} x + {\left(3 \, B a b^{2} + A b^{3}\right)} \log\left({\left| x \right|}\right) - \frac{2 \, A a^{3} + 18 \, {\left(B a^{2} b + A a b^{2}\right)} x^{2} + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x}{6 \, x^{3}}"," ",0,"B*b^3*x + (3*B*a*b^2 + A*b^3)*log(abs(x)) - 1/6*(2*A*a^3 + 18*(B*a^2*b + A*a*b^2)*x^2 + 3*(B*a^3 + 3*A*a^2*b)*x)/x^3","A",0
113,1,73,0,1.229655," ","integrate((b*x+a)^3*(B*x+A)/x^5,x, algorithm=""giac"")","B b^{3} \log\left({\left| x \right|}\right) - \frac{3 \, A a^{3} + 12 \, {\left(3 \, B a b^{2} + A b^{3}\right)} x^{3} + 18 \, {\left(B a^{2} b + A a b^{2}\right)} x^{2} + 4 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x}{12 \, x^{4}}"," ",0,"B*b^3*log(abs(x)) - 1/12*(3*A*a^3 + 12*(3*B*a*b^2 + A*b^3)*x^3 + 18*(B*a^2*b + A*a*b^2)*x^2 + 4*(B*a^3 + 3*A*a^2*b)*x)/x^4","A",0
114,1,75,0,1.254160," ","integrate((b*x+a)^3*(B*x+A)/x^6,x, algorithm=""giac"")","-\frac{20 \, B b^{3} x^{4} + 30 \, B a b^{2} x^{3} + 10 \, A b^{3} x^{3} + 20 \, B a^{2} b x^{2} + 20 \, A a b^{2} x^{2} + 5 \, B a^{3} x + 15 \, A a^{2} b x + 4 \, A a^{3}}{20 \, x^{5}}"," ",0,"-1/20*(20*B*b^3*x^4 + 30*B*a*b^2*x^3 + 10*A*b^3*x^3 + 20*B*a^2*b*x^2 + 20*A*a*b^2*x^2 + 5*B*a^3*x + 15*A*a^2*b*x + 4*A*a^3)/x^5","A",0
115,1,75,0,1.245779," ","integrate((b*x+a)^3*(B*x+A)/x^7,x, algorithm=""giac"")","-\frac{30 \, B b^{3} x^{4} + 60 \, B a b^{2} x^{3} + 20 \, A b^{3} x^{3} + 45 \, B a^{2} b x^{2} + 45 \, A a b^{2} x^{2} + 12 \, B a^{3} x + 36 \, A a^{2} b x + 10 \, A a^{3}}{60 \, x^{6}}"," ",0,"-1/60*(30*B*b^3*x^4 + 60*B*a*b^2*x^3 + 20*A*b^3*x^3 + 45*B*a^2*b*x^2 + 45*A*a*b^2*x^2 + 12*B*a^3*x + 36*A*a^2*b*x + 10*A*a^3)/x^6","A",0
116,1,75,0,1.256675," ","integrate((b*x+a)^3*(B*x+A)/x^8,x, algorithm=""giac"")","-\frac{140 \, B b^{3} x^{4} + 315 \, B a b^{2} x^{3} + 105 \, A b^{3} x^{3} + 252 \, B a^{2} b x^{2} + 252 \, A a b^{2} x^{2} + 70 \, B a^{3} x + 210 \, A a^{2} b x + 60 \, A a^{3}}{420 \, x^{7}}"," ",0,"-1/420*(140*B*b^3*x^4 + 315*B*a*b^2*x^3 + 105*A*b^3*x^3 + 252*B*a^2*b*x^2 + 252*A*a*b^2*x^2 + 70*B*a^3*x + 210*A*a^2*b*x + 60*A*a^3)/x^7","A",0
117,1,75,0,1.212548," ","integrate((b*x+a)^3*(B*x+A)/x^9,x, algorithm=""giac"")","-\frac{70 \, B b^{3} x^{4} + 168 \, B a b^{2} x^{3} + 56 \, A b^{3} x^{3} + 140 \, B a^{2} b x^{2} + 140 \, A a b^{2} x^{2} + 40 \, B a^{3} x + 120 \, A a^{2} b x + 35 \, A a^{3}}{280 \, x^{8}}"," ",0,"-1/280*(70*B*b^3*x^4 + 168*B*a*b^2*x^3 + 56*A*b^3*x^3 + 140*B*a^2*b*x^2 + 140*A*a*b^2*x^2 + 40*B*a^3*x + 120*A*a^2*b*x + 35*A*a^3)/x^8","A",0
118,1,75,0,1.198000," ","integrate((b*x+a)^3*(B*x+A)/x^10,x, algorithm=""giac"")","-\frac{504 \, B b^{3} x^{4} + 1260 \, B a b^{2} x^{3} + 420 \, A b^{3} x^{3} + 1080 \, B a^{2} b x^{2} + 1080 \, A a b^{2} x^{2} + 315 \, B a^{3} x + 945 \, A a^{2} b x + 280 \, A a^{3}}{2520 \, x^{9}}"," ",0,"-1/2520*(504*B*b^3*x^4 + 1260*B*a*b^2*x^3 + 420*A*b^3*x^3 + 1080*B*a^2*b*x^2 + 1080*A*a*b^2*x^2 + 315*B*a^3*x + 945*A*a^2*b*x + 280*A*a^3)/x^9","A",0
119,1,124,0,1.181014," ","integrate(x^5*(b*x+a)^5*(B*x+A),x, algorithm=""giac"")","\frac{1}{12} \, B b^{5} x^{12} + \frac{5}{11} \, B a b^{4} x^{11} + \frac{1}{11} \, A b^{5} x^{11} + B a^{2} b^{3} x^{10} + \frac{1}{2} \, A a b^{4} x^{10} + \frac{10}{9} \, B a^{3} b^{2} x^{9} + \frac{10}{9} \, A a^{2} b^{3} x^{9} + \frac{5}{8} \, B a^{4} b x^{8} + \frac{5}{4} \, A a^{3} b^{2} x^{8} + \frac{1}{7} \, B a^{5} x^{7} + \frac{5}{7} \, A a^{4} b x^{7} + \frac{1}{6} \, A a^{5} x^{6}"," ",0,"1/12*B*b^5*x^12 + 5/11*B*a*b^4*x^11 + 1/11*A*b^5*x^11 + B*a^2*b^3*x^10 + 1/2*A*a*b^4*x^10 + 10/9*B*a^3*b^2*x^9 + 10/9*A*a^2*b^3*x^9 + 5/8*B*a^4*b*x^8 + 5/4*A*a^3*b^2*x^8 + 1/7*B*a^5*x^7 + 5/7*A*a^4*b*x^7 + 1/6*A*a^5*x^6","A",0
120,1,125,0,1.215899," ","integrate(x^4*(b*x+a)^5*(B*x+A),x, algorithm=""giac"")","\frac{1}{11} \, B b^{5} x^{11} + \frac{1}{2} \, B a b^{4} x^{10} + \frac{1}{10} \, A b^{5} x^{10} + \frac{10}{9} \, B a^{2} b^{3} x^{9} + \frac{5}{9} \, A a b^{4} x^{9} + \frac{5}{4} \, B a^{3} b^{2} x^{8} + \frac{5}{4} \, A a^{2} b^{3} x^{8} + \frac{5}{7} \, B a^{4} b x^{7} + \frac{10}{7} \, A a^{3} b^{2} x^{7} + \frac{1}{6} \, B a^{5} x^{6} + \frac{5}{6} \, A a^{4} b x^{6} + \frac{1}{5} \, A a^{5} x^{5}"," ",0,"1/11*B*b^5*x^11 + 1/2*B*a*b^4*x^10 + 1/10*A*b^5*x^10 + 10/9*B*a^2*b^3*x^9 + 5/9*A*a*b^4*x^9 + 5/4*B*a^3*b^2*x^8 + 5/4*A*a^2*b^3*x^8 + 5/7*B*a^4*b*x^7 + 10/7*A*a^3*b^2*x^7 + 1/6*B*a^5*x^6 + 5/6*A*a^4*b*x^6 + 1/5*A*a^5*x^5","A",0
121,1,124,0,1.219609," ","integrate(x^3*(b*x+a)^5*(B*x+A),x, algorithm=""giac"")","\frac{1}{10} \, B b^{5} x^{10} + \frac{5}{9} \, B a b^{4} x^{9} + \frac{1}{9} \, A b^{5} x^{9} + \frac{5}{4} \, B a^{2} b^{3} x^{8} + \frac{5}{8} \, A a b^{4} x^{8} + \frac{10}{7} \, B a^{3} b^{2} x^{7} + \frac{10}{7} \, A a^{2} b^{3} x^{7} + \frac{5}{6} \, B a^{4} b x^{6} + \frac{5}{3} \, A a^{3} b^{2} x^{6} + \frac{1}{5} \, B a^{5} x^{5} + A a^{4} b x^{5} + \frac{1}{4} \, A a^{5} x^{4}"," ",0,"1/10*B*b^5*x^10 + 5/9*B*a*b^4*x^9 + 1/9*A*b^5*x^9 + 5/4*B*a^2*b^3*x^8 + 5/8*A*a*b^4*x^8 + 10/7*B*a^3*b^2*x^7 + 10/7*A*a^2*b^3*x^7 + 5/6*B*a^4*b*x^6 + 5/3*A*a^3*b^2*x^6 + 1/5*B*a^5*x^5 + A*a^4*b*x^5 + 1/4*A*a^5*x^4","A",0
122,1,124,0,1.228010," ","integrate(x^2*(b*x+a)^5*(B*x+A),x, algorithm=""giac"")","\frac{1}{9} \, B b^{5} x^{9} + \frac{5}{8} \, B a b^{4} x^{8} + \frac{1}{8} \, A b^{5} x^{8} + \frac{10}{7} \, B a^{2} b^{3} x^{7} + \frac{5}{7} \, A a b^{4} x^{7} + \frac{5}{3} \, B a^{3} b^{2} x^{6} + \frac{5}{3} \, A a^{2} b^{3} x^{6} + B a^{4} b x^{5} + 2 \, A a^{3} b^{2} x^{5} + \frac{1}{4} \, B a^{5} x^{4} + \frac{5}{4} \, A a^{4} b x^{4} + \frac{1}{3} \, A a^{5} x^{3}"," ",0,"1/9*B*b^5*x^9 + 5/8*B*a*b^4*x^8 + 1/8*A*b^5*x^8 + 10/7*B*a^2*b^3*x^7 + 5/7*A*a*b^4*x^7 + 5/3*B*a^3*b^2*x^6 + 5/3*A*a^2*b^3*x^6 + B*a^4*b*x^5 + 2*A*a^3*b^2*x^5 + 1/4*B*a^5*x^4 + 5/4*A*a^4*b*x^4 + 1/3*A*a^5*x^3","A",0
123,1,125,0,1.218580," ","integrate(x*(b*x+a)^5*(B*x+A),x, algorithm=""giac"")","\frac{1}{8} \, B b^{5} x^{8} + \frac{5}{7} \, B a b^{4} x^{7} + \frac{1}{7} \, A b^{5} x^{7} + \frac{5}{3} \, B a^{2} b^{3} x^{6} + \frac{5}{6} \, A a b^{4} x^{6} + 2 \, B a^{3} b^{2} x^{5} + 2 \, A a^{2} b^{3} x^{5} + \frac{5}{4} \, B a^{4} b x^{4} + \frac{5}{2} \, A a^{3} b^{2} x^{4} + \frac{1}{3} \, B a^{5} x^{3} + \frac{5}{3} \, A a^{4} b x^{3} + \frac{1}{2} \, A a^{5} x^{2}"," ",0,"1/8*B*b^5*x^8 + 5/7*B*a*b^4*x^7 + 1/7*A*b^5*x^7 + 5/3*B*a^2*b^3*x^6 + 5/6*A*a*b^4*x^6 + 2*B*a^3*b^2*x^5 + 2*A*a^2*b^3*x^5 + 5/4*B*a^4*b*x^4 + 5/2*A*a^3*b^2*x^4 + 1/3*B*a^5*x^3 + 5/3*A*a^4*b*x^3 + 1/2*A*a^5*x^2","B",0
124,1,121,0,1.264512," ","integrate((b*x+a)^5*(B*x+A),x, algorithm=""giac"")","\frac{1}{7} \, B b^{5} x^{7} + \frac{5}{6} \, B a b^{4} x^{6} + \frac{1}{6} \, A b^{5} x^{6} + 2 \, B a^{2} b^{3} x^{5} + A a b^{4} x^{5} + \frac{5}{2} \, B a^{3} b^{2} x^{4} + \frac{5}{2} \, A a^{2} b^{3} x^{4} + \frac{5}{3} \, B a^{4} b x^{3} + \frac{10}{3} \, A a^{3} b^{2} x^{3} + \frac{1}{2} \, B a^{5} x^{2} + \frac{5}{2} \, A a^{4} b x^{2} + A a^{5} x"," ",0,"1/7*B*b^5*x^7 + 5/6*B*a*b^4*x^6 + 1/6*A*b^5*x^6 + 2*B*a^2*b^3*x^5 + A*a*b^4*x^5 + 5/2*B*a^3*b^2*x^4 + 5/2*A*a^2*b^3*x^4 + 5/3*B*a^4*b*x^3 + 10/3*A*a^3*b^2*x^3 + 1/2*B*a^5*x^2 + 5/2*A*a^4*b*x^2 + A*a^5*x","B",0
125,1,118,0,1.207382," ","integrate((b*x+a)^5*(B*x+A)/x,x, algorithm=""giac"")","\frac{1}{6} \, B b^{5} x^{6} + B a b^{4} x^{5} + \frac{1}{5} \, A b^{5} x^{5} + \frac{5}{2} \, B a^{2} b^{3} x^{4} + \frac{5}{4} \, A a b^{4} x^{4} + \frac{10}{3} \, B a^{3} b^{2} x^{3} + \frac{10}{3} \, A a^{2} b^{3} x^{3} + \frac{5}{2} \, B a^{4} b x^{2} + 5 \, A a^{3} b^{2} x^{2} + B a^{5} x + 5 \, A a^{4} b x + A a^{5} \log\left({\left| x \right|}\right)"," ",0,"1/6*B*b^5*x^6 + B*a*b^4*x^5 + 1/5*A*b^5*x^5 + 5/2*B*a^2*b^3*x^4 + 5/4*A*a*b^4*x^4 + 10/3*B*a^3*b^2*x^3 + 10/3*A*a^2*b^3*x^3 + 5/2*B*a^4*b*x^2 + 5*A*a^3*b^2*x^2 + B*a^5*x + 5*A*a^4*b*x + A*a^5*log(abs(x))","A",0
126,1,119,0,1.204432," ","integrate((b*x+a)^5*(B*x+A)/x^2,x, algorithm=""giac"")","\frac{1}{5} \, B b^{5} x^{5} + \frac{5}{4} \, B a b^{4} x^{4} + \frac{1}{4} \, A b^{5} x^{4} + \frac{10}{3} \, B a^{2} b^{3} x^{3} + \frac{5}{3} \, A a b^{4} x^{3} + 5 \, B a^{3} b^{2} x^{2} + 5 \, A a^{2} b^{3} x^{2} + 5 \, B a^{4} b x + 10 \, A a^{3} b^{2} x - \frac{A a^{5}}{x} + {\left(B a^{5} + 5 \, A a^{4} b\right)} \log\left({\left| x \right|}\right)"," ",0,"1/5*B*b^5*x^5 + 5/4*B*a*b^4*x^4 + 1/4*A*b^5*x^4 + 10/3*B*a^2*b^3*x^3 + 5/3*A*a*b^4*x^3 + 5*B*a^3*b^2*x^2 + 5*A*a^2*b^3*x^2 + 5*B*a^4*b*x + 10*A*a^3*b^2*x - A*a^5/x + (B*a^5 + 5*A*a^4*b)*log(abs(x))","A",0
127,1,119,0,1.215684," ","integrate((b*x+a)^5*(B*x+A)/x^3,x, algorithm=""giac"")","\frac{1}{4} \, B b^{5} x^{4} + \frac{5}{3} \, B a b^{4} x^{3} + \frac{1}{3} \, A b^{5} x^{3} + 5 \, B a^{2} b^{3} x^{2} + \frac{5}{2} \, A a b^{4} x^{2} + 10 \, B a^{3} b^{2} x + 10 \, A a^{2} b^{3} x + 5 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} \log\left({\left| x \right|}\right) - \frac{A a^{5} + 2 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x}{2 \, x^{2}}"," ",0,"1/4*B*b^5*x^4 + 5/3*B*a*b^4*x^3 + 1/3*A*b^5*x^3 + 5*B*a^2*b^3*x^2 + 5/2*A*a*b^4*x^2 + 10*B*a^3*b^2*x + 10*A*a^2*b^3*x + 5*(B*a^4*b + 2*A*a^3*b^2)*log(abs(x)) - 1/2*(A*a^5 + 2*(B*a^5 + 5*A*a^4*b)*x)/x^2","A",0
128,1,118,0,1.218521," ","integrate((b*x+a)^5*(B*x+A)/x^4,x, algorithm=""giac"")","\frac{1}{3} \, B b^{5} x^{3} + \frac{5}{2} \, B a b^{4} x^{2} + \frac{1}{2} \, A b^{5} x^{2} + 10 \, B a^{2} b^{3} x + 5 \, A a b^{4} x + 10 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} \log\left({\left| x \right|}\right) - \frac{2 \, A a^{5} + 30 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{2} + 3 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x}{6 \, x^{3}}"," ",0,"1/3*B*b^5*x^3 + 5/2*B*a*b^4*x^2 + 1/2*A*b^5*x^2 + 10*B*a^2*b^3*x + 5*A*a*b^4*x + 10*(B*a^3*b^2 + A*a^2*b^3)*log(abs(x)) - 1/6*(2*A*a^5 + 30*(B*a^4*b + 2*A*a^3*b^2)*x^2 + 3*(B*a^5 + 5*A*a^4*b)*x)/x^3","A",0
129,1,116,0,1.250842," ","integrate((b*x+a)^5*(B*x+A)/x^5,x, algorithm=""giac"")","\frac{1}{2} \, B b^{5} x^{2} + 5 \, B a b^{4} x + A b^{5} x + 5 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} \log\left({\left| x \right|}\right) - \frac{3 \, A a^{5} + 120 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{3} + 30 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{2} + 4 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x}{12 \, x^{4}}"," ",0,"1/2*B*b^5*x^2 + 5*B*a*b^4*x + A*b^5*x + 5*(2*B*a^2*b^3 + A*a*b^4)*log(abs(x)) - 1/12*(3*A*a^5 + 120*(B*a^3*b^2 + A*a^2*b^3)*x^3 + 30*(B*a^4*b + 2*A*a^3*b^2)*x^2 + 4*(B*a^5 + 5*A*a^4*b)*x)/x^4","A",0
130,1,116,0,1.232120," ","integrate((b*x+a)^5*(B*x+A)/x^6,x, algorithm=""giac"")","B b^{5} x + {\left(5 \, B a b^{4} + A b^{5}\right)} \log\left({\left| x \right|}\right) - \frac{12 \, A a^{5} + 300 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{4} + 300 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{3} + 100 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{2} + 15 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x}{60 \, x^{5}}"," ",0,"B*b^5*x + (5*B*a*b^4 + A*b^5)*log(abs(x)) - 1/60*(12*A*a^5 + 300*(2*B*a^2*b^3 + A*a*b^4)*x^4 + 300*(B*a^3*b^2 + A*a^2*b^3)*x^3 + 100*(B*a^4*b + 2*A*a^3*b^2)*x^2 + 15*(B*a^5 + 5*A*a^4*b)*x)/x^5","A",0
131,1,119,0,1.299324," ","integrate((b*x+a)^5*(B*x+A)/x^7,x, algorithm=""giac"")","B b^{5} \log\left({\left| x \right|}\right) - \frac{10 \, A a^{5} + 60 \, {\left(5 \, B a b^{4} + A b^{5}\right)} x^{5} + 150 \, {\left(2 \, B a^{2} b^{3} + A a b^{4}\right)} x^{4} + 200 \, {\left(B a^{3} b^{2} + A a^{2} b^{3}\right)} x^{3} + 75 \, {\left(B a^{4} b + 2 \, A a^{3} b^{2}\right)} x^{2} + 12 \, {\left(B a^{5} + 5 \, A a^{4} b\right)} x}{60 \, x^{6}}"," ",0,"B*b^5*log(abs(x)) - 1/60*(10*A*a^5 + 60*(5*B*a*b^4 + A*b^5)*x^5 + 150*(2*B*a^2*b^3 + A*a*b^4)*x^4 + 200*(B*a^3*b^2 + A*a^2*b^3)*x^3 + 75*(B*a^4*b + 2*A*a^3*b^2)*x^2 + 12*(B*a^5 + 5*A*a^4*b)*x)/x^6","A",0
132,1,123,0,1.212589," ","integrate((b*x+a)^5*(B*x+A)/x^8,x, algorithm=""giac"")","-\frac{42 \, B b^{5} x^{6} + 105 \, B a b^{4} x^{5} + 21 \, A b^{5} x^{5} + 140 \, B a^{2} b^{3} x^{4} + 70 \, A a b^{4} x^{4} + 105 \, B a^{3} b^{2} x^{3} + 105 \, A a^{2} b^{3} x^{3} + 42 \, B a^{4} b x^{2} + 84 \, A a^{3} b^{2} x^{2} + 7 \, B a^{5} x + 35 \, A a^{4} b x + 6 \, A a^{5}}{42 \, x^{7}}"," ",0,"-1/42*(42*B*b^5*x^6 + 105*B*a*b^4*x^5 + 21*A*b^5*x^5 + 140*B*a^2*b^3*x^4 + 70*A*a*b^4*x^4 + 105*B*a^3*b^2*x^3 + 105*A*a^2*b^3*x^3 + 42*B*a^4*b*x^2 + 84*A*a^3*b^2*x^2 + 7*B*a^5*x + 35*A*a^4*b*x + 6*A*a^5)/x^7","B",0
133,1,123,0,1.314089," ","integrate((b*x+a)^5*(B*x+A)/x^9,x, algorithm=""giac"")","-\frac{84 \, B b^{5} x^{6} + 280 \, B a b^{4} x^{5} + 56 \, A b^{5} x^{5} + 420 \, B a^{2} b^{3} x^{4} + 210 \, A a b^{4} x^{4} + 336 \, B a^{3} b^{2} x^{3} + 336 \, A a^{2} b^{3} x^{3} + 140 \, B a^{4} b x^{2} + 280 \, A a^{3} b^{2} x^{2} + 24 \, B a^{5} x + 120 \, A a^{4} b x + 21 \, A a^{5}}{168 \, x^{8}}"," ",0,"-1/168*(84*B*b^5*x^6 + 280*B*a*b^4*x^5 + 56*A*b^5*x^5 + 420*B*a^2*b^3*x^4 + 210*A*a*b^4*x^4 + 336*B*a^3*b^2*x^3 + 336*A*a^2*b^3*x^3 + 140*B*a^4*b*x^2 + 280*A*a^3*b^2*x^2 + 24*B*a^5*x + 120*A*a^4*b*x + 21*A*a^5)/x^8","A",0
134,1,123,0,1.240200," ","integrate((b*x+a)^5*(B*x+A)/x^10,x, algorithm=""giac"")","-\frac{168 \, B b^{5} x^{6} + 630 \, B a b^{4} x^{5} + 126 \, A b^{5} x^{5} + 1008 \, B a^{2} b^{3} x^{4} + 504 \, A a b^{4} x^{4} + 840 \, B a^{3} b^{2} x^{3} + 840 \, A a^{2} b^{3} x^{3} + 360 \, B a^{4} b x^{2} + 720 \, A a^{3} b^{2} x^{2} + 63 \, B a^{5} x + 315 \, A a^{4} b x + 56 \, A a^{5}}{504 \, x^{9}}"," ",0,"-1/504*(168*B*b^5*x^6 + 630*B*a*b^4*x^5 + 126*A*b^5*x^5 + 1008*B*a^2*b^3*x^4 + 504*A*a*b^4*x^4 + 840*B*a^3*b^2*x^3 + 840*A*a^2*b^3*x^3 + 360*B*a^4*b*x^2 + 720*A*a^3*b^2*x^2 + 63*B*a^5*x + 315*A*a^4*b*x + 56*A*a^5)/x^9","A",0
135,1,123,0,1.288016," ","integrate((b*x+a)^5*(B*x+A)/x^11,x, algorithm=""giac"")","-\frac{630 \, B b^{5} x^{6} + 2520 \, B a b^{4} x^{5} + 504 \, A b^{5} x^{5} + 4200 \, B a^{2} b^{3} x^{4} + 2100 \, A a b^{4} x^{4} + 3600 \, B a^{3} b^{2} x^{3} + 3600 \, A a^{2} b^{3} x^{3} + 1575 \, B a^{4} b x^{2} + 3150 \, A a^{3} b^{2} x^{2} + 280 \, B a^{5} x + 1400 \, A a^{4} b x + 252 \, A a^{5}}{2520 \, x^{10}}"," ",0,"-1/2520*(630*B*b^5*x^6 + 2520*B*a*b^4*x^5 + 504*A*b^5*x^5 + 4200*B*a^2*b^3*x^4 + 2100*A*a*b^4*x^4 + 3600*B*a^3*b^2*x^3 + 3600*A*a^2*b^3*x^3 + 1575*B*a^4*b*x^2 + 3150*A*a^3*b^2*x^2 + 280*B*a^5*x + 1400*A*a^4*b*x + 252*A*a^5)/x^10","A",0
136,1,123,0,1.248033," ","integrate((b*x+a)^5*(B*x+A)/x^12,x, algorithm=""giac"")","-\frac{2772 \, B b^{5} x^{6} + 11550 \, B a b^{4} x^{5} + 2310 \, A b^{5} x^{5} + 19800 \, B a^{2} b^{3} x^{4} + 9900 \, A a b^{4} x^{4} + 17325 \, B a^{3} b^{2} x^{3} + 17325 \, A a^{2} b^{3} x^{3} + 7700 \, B a^{4} b x^{2} + 15400 \, A a^{3} b^{2} x^{2} + 1386 \, B a^{5} x + 6930 \, A a^{4} b x + 1260 \, A a^{5}}{13860 \, x^{11}}"," ",0,"-1/13860*(2772*B*b^5*x^6 + 11550*B*a*b^4*x^5 + 2310*A*b^5*x^5 + 19800*B*a^2*b^3*x^4 + 9900*A*a*b^4*x^4 + 17325*B*a^3*b^2*x^3 + 17325*A*a^2*b^3*x^3 + 7700*B*a^4*b*x^2 + 15400*A*a^3*b^2*x^2 + 1386*B*a^5*x + 6930*A*a^4*b*x + 1260*A*a^5)/x^11","A",0
137,1,245,0,1.248732," ","integrate(x^10*(b*x+a)^10*(B*x+A),x, algorithm=""giac"")","\frac{1}{22} \, B b^{10} x^{22} + \frac{10}{21} \, B a b^{9} x^{21} + \frac{1}{21} \, A b^{10} x^{21} + \frac{9}{4} \, B a^{2} b^{8} x^{20} + \frac{1}{2} \, A a b^{9} x^{20} + \frac{120}{19} \, B a^{3} b^{7} x^{19} + \frac{45}{19} \, A a^{2} b^{8} x^{19} + \frac{35}{3} \, B a^{4} b^{6} x^{18} + \frac{20}{3} \, A a^{3} b^{7} x^{18} + \frac{252}{17} \, B a^{5} b^{5} x^{17} + \frac{210}{17} \, A a^{4} b^{6} x^{17} + \frac{105}{8} \, B a^{6} b^{4} x^{16} + \frac{63}{4} \, A a^{5} b^{5} x^{16} + 8 \, B a^{7} b^{3} x^{15} + 14 \, A a^{6} b^{4} x^{15} + \frac{45}{14} \, B a^{8} b^{2} x^{14} + \frac{60}{7} \, A a^{7} b^{3} x^{14} + \frac{10}{13} \, B a^{9} b x^{13} + \frac{45}{13} \, A a^{8} b^{2} x^{13} + \frac{1}{12} \, B a^{10} x^{12} + \frac{5}{6} \, A a^{9} b x^{12} + \frac{1}{11} \, A a^{10} x^{11}"," ",0,"1/22*B*b^10*x^22 + 10/21*B*a*b^9*x^21 + 1/21*A*b^10*x^21 + 9/4*B*a^2*b^8*x^20 + 1/2*A*a*b^9*x^20 + 120/19*B*a^3*b^7*x^19 + 45/19*A*a^2*b^8*x^19 + 35/3*B*a^4*b^6*x^18 + 20/3*A*a^3*b^7*x^18 + 252/17*B*a^5*b^5*x^17 + 210/17*A*a^4*b^6*x^17 + 105/8*B*a^6*b^4*x^16 + 63/4*A*a^5*b^5*x^16 + 8*B*a^7*b^3*x^15 + 14*A*a^6*b^4*x^15 + 45/14*B*a^8*b^2*x^14 + 60/7*A*a^7*b^3*x^14 + 10/13*B*a^9*b*x^13 + 45/13*A*a^8*b^2*x^13 + 1/12*B*a^10*x^12 + 5/6*A*a^9*b*x^12 + 1/11*A*a^10*x^11","A",0
138,1,245,0,1.224882," ","integrate(x^9*(b*x+a)^10*(B*x+A),x, algorithm=""giac"")","\frac{1}{21} \, B b^{10} x^{21} + \frac{1}{2} \, B a b^{9} x^{20} + \frac{1}{20} \, A b^{10} x^{20} + \frac{45}{19} \, B a^{2} b^{8} x^{19} + \frac{10}{19} \, A a b^{9} x^{19} + \frac{20}{3} \, B a^{3} b^{7} x^{18} + \frac{5}{2} \, A a^{2} b^{8} x^{18} + \frac{210}{17} \, B a^{4} b^{6} x^{17} + \frac{120}{17} \, A a^{3} b^{7} x^{17} + \frac{63}{4} \, B a^{5} b^{5} x^{16} + \frac{105}{8} \, A a^{4} b^{6} x^{16} + 14 \, B a^{6} b^{4} x^{15} + \frac{84}{5} \, A a^{5} b^{5} x^{15} + \frac{60}{7} \, B a^{7} b^{3} x^{14} + 15 \, A a^{6} b^{4} x^{14} + \frac{45}{13} \, B a^{8} b^{2} x^{13} + \frac{120}{13} \, A a^{7} b^{3} x^{13} + \frac{5}{6} \, B a^{9} b x^{12} + \frac{15}{4} \, A a^{8} b^{2} x^{12} + \frac{1}{11} \, B a^{10} x^{11} + \frac{10}{11} \, A a^{9} b x^{11} + \frac{1}{10} \, A a^{10} x^{10}"," ",0,"1/21*B*b^10*x^21 + 1/2*B*a*b^9*x^20 + 1/20*A*b^10*x^20 + 45/19*B*a^2*b^8*x^19 + 10/19*A*a*b^9*x^19 + 20/3*B*a^3*b^7*x^18 + 5/2*A*a^2*b^8*x^18 + 210/17*B*a^4*b^6*x^17 + 120/17*A*a^3*b^7*x^17 + 63/4*B*a^5*b^5*x^16 + 105/8*A*a^4*b^6*x^16 + 14*B*a^6*b^4*x^15 + 84/5*A*a^5*b^5*x^15 + 60/7*B*a^7*b^3*x^14 + 15*A*a^6*b^4*x^14 + 45/13*B*a^8*b^2*x^13 + 120/13*A*a^7*b^3*x^13 + 5/6*B*a^9*b*x^12 + 15/4*A*a^8*b^2*x^12 + 1/11*B*a^10*x^11 + 10/11*A*a^9*b*x^11 + 1/10*A*a^10*x^10","A",0
139,1,244,0,1.248839," ","integrate(x^8*(b*x+a)^10*(B*x+A),x, algorithm=""giac"")","\frac{1}{20} \, B b^{10} x^{20} + \frac{10}{19} \, B a b^{9} x^{19} + \frac{1}{19} \, A b^{10} x^{19} + \frac{5}{2} \, B a^{2} b^{8} x^{18} + \frac{5}{9} \, A a b^{9} x^{18} + \frac{120}{17} \, B a^{3} b^{7} x^{17} + \frac{45}{17} \, A a^{2} b^{8} x^{17} + \frac{105}{8} \, B a^{4} b^{6} x^{16} + \frac{15}{2} \, A a^{3} b^{7} x^{16} + \frac{84}{5} \, B a^{5} b^{5} x^{15} + 14 \, A a^{4} b^{6} x^{15} + 15 \, B a^{6} b^{4} x^{14} + 18 \, A a^{5} b^{5} x^{14} + \frac{120}{13} \, B a^{7} b^{3} x^{13} + \frac{210}{13} \, A a^{6} b^{4} x^{13} + \frac{15}{4} \, B a^{8} b^{2} x^{12} + 10 \, A a^{7} b^{3} x^{12} + \frac{10}{11} \, B a^{9} b x^{11} + \frac{45}{11} \, A a^{8} b^{2} x^{11} + \frac{1}{10} \, B a^{10} x^{10} + A a^{9} b x^{10} + \frac{1}{9} \, A a^{10} x^{9}"," ",0,"1/20*B*b^10*x^20 + 10/19*B*a*b^9*x^19 + 1/19*A*b^10*x^19 + 5/2*B*a^2*b^8*x^18 + 5/9*A*a*b^9*x^18 + 120/17*B*a^3*b^7*x^17 + 45/17*A*a^2*b^8*x^17 + 105/8*B*a^4*b^6*x^16 + 15/2*A*a^3*b^7*x^16 + 84/5*B*a^5*b^5*x^15 + 14*A*a^4*b^6*x^15 + 15*B*a^6*b^4*x^14 + 18*A*a^5*b^5*x^14 + 120/13*B*a^7*b^3*x^13 + 210/13*A*a^6*b^4*x^13 + 15/4*B*a^8*b^2*x^12 + 10*A*a^7*b^3*x^12 + 10/11*B*a^9*b*x^11 + 45/11*A*a^8*b^2*x^11 + 1/10*B*a^10*x^10 + A*a^9*b*x^10 + 1/9*A*a^10*x^9","A",0
140,1,244,0,1.193113," ","integrate(x^7*(b*x+a)^10*(B*x+A),x, algorithm=""giac"")","\frac{1}{19} \, B b^{10} x^{19} + \frac{5}{9} \, B a b^{9} x^{18} + \frac{1}{18} \, A b^{10} x^{18} + \frac{45}{17} \, B a^{2} b^{8} x^{17} + \frac{10}{17} \, A a b^{9} x^{17} + \frac{15}{2} \, B a^{3} b^{7} x^{16} + \frac{45}{16} \, A a^{2} b^{8} x^{16} + 14 \, B a^{4} b^{6} x^{15} + 8 \, A a^{3} b^{7} x^{15} + 18 \, B a^{5} b^{5} x^{14} + 15 \, A a^{4} b^{6} x^{14} + \frac{210}{13} \, B a^{6} b^{4} x^{13} + \frac{252}{13} \, A a^{5} b^{5} x^{13} + 10 \, B a^{7} b^{3} x^{12} + \frac{35}{2} \, A a^{6} b^{4} x^{12} + \frac{45}{11} \, B a^{8} b^{2} x^{11} + \frac{120}{11} \, A a^{7} b^{3} x^{11} + B a^{9} b x^{10} + \frac{9}{2} \, A a^{8} b^{2} x^{10} + \frac{1}{9} \, B a^{10} x^{9} + \frac{10}{9} \, A a^{9} b x^{9} + \frac{1}{8} \, A a^{10} x^{8}"," ",0,"1/19*B*b^10*x^19 + 5/9*B*a*b^9*x^18 + 1/18*A*b^10*x^18 + 45/17*B*a^2*b^8*x^17 + 10/17*A*a*b^9*x^17 + 15/2*B*a^3*b^7*x^16 + 45/16*A*a^2*b^8*x^16 + 14*B*a^4*b^6*x^15 + 8*A*a^3*b^7*x^15 + 18*B*a^5*b^5*x^14 + 15*A*a^4*b^6*x^14 + 210/13*B*a^6*b^4*x^13 + 252/13*A*a^5*b^5*x^13 + 10*B*a^7*b^3*x^12 + 35/2*A*a^6*b^4*x^12 + 45/11*B*a^8*b^2*x^11 + 120/11*A*a^7*b^3*x^11 + B*a^9*b*x^10 + 9/2*A*a^8*b^2*x^10 + 1/9*B*a^10*x^9 + 10/9*A*a^9*b*x^9 + 1/8*A*a^10*x^8","A",0
141,1,245,0,1.206627," ","integrate(x^6*(b*x+a)^10*(B*x+A),x, algorithm=""giac"")","\frac{1}{18} \, B b^{10} x^{18} + \frac{10}{17} \, B a b^{9} x^{17} + \frac{1}{17} \, A b^{10} x^{17} + \frac{45}{16} \, B a^{2} b^{8} x^{16} + \frac{5}{8} \, A a b^{9} x^{16} + 8 \, B a^{3} b^{7} x^{15} + 3 \, A a^{2} b^{8} x^{15} + 15 \, B a^{4} b^{6} x^{14} + \frac{60}{7} \, A a^{3} b^{7} x^{14} + \frac{252}{13} \, B a^{5} b^{5} x^{13} + \frac{210}{13} \, A a^{4} b^{6} x^{13} + \frac{35}{2} \, B a^{6} b^{4} x^{12} + 21 \, A a^{5} b^{5} x^{12} + \frac{120}{11} \, B a^{7} b^{3} x^{11} + \frac{210}{11} \, A a^{6} b^{4} x^{11} + \frac{9}{2} \, B a^{8} b^{2} x^{10} + 12 \, A a^{7} b^{3} x^{10} + \frac{10}{9} \, B a^{9} b x^{9} + 5 \, A a^{8} b^{2} x^{9} + \frac{1}{8} \, B a^{10} x^{8} + \frac{5}{4} \, A a^{9} b x^{8} + \frac{1}{7} \, A a^{10} x^{7}"," ",0,"1/18*B*b^10*x^18 + 10/17*B*a*b^9*x^17 + 1/17*A*b^10*x^17 + 45/16*B*a^2*b^8*x^16 + 5/8*A*a*b^9*x^16 + 8*B*a^3*b^7*x^15 + 3*A*a^2*b^8*x^15 + 15*B*a^4*b^6*x^14 + 60/7*A*a^3*b^7*x^14 + 252/13*B*a^5*b^5*x^13 + 210/13*A*a^4*b^6*x^13 + 35/2*B*a^6*b^4*x^12 + 21*A*a^5*b^5*x^12 + 120/11*B*a^7*b^3*x^11 + 210/11*A*a^6*b^4*x^11 + 9/2*B*a^8*b^2*x^10 + 12*A*a^7*b^3*x^10 + 10/9*B*a^9*b*x^9 + 5*A*a^8*b^2*x^9 + 1/8*B*a^10*x^8 + 5/4*A*a^9*b*x^8 + 1/7*A*a^10*x^7","A",0
142,1,245,0,1.318437," ","integrate(x^5*(b*x+a)^10*(B*x+A),x, algorithm=""giac"")","\frac{1}{17} \, B b^{10} x^{17} + \frac{5}{8} \, B a b^{9} x^{16} + \frac{1}{16} \, A b^{10} x^{16} + 3 \, B a^{2} b^{8} x^{15} + \frac{2}{3} \, A a b^{9} x^{15} + \frac{60}{7} \, B a^{3} b^{7} x^{14} + \frac{45}{14} \, A a^{2} b^{8} x^{14} + \frac{210}{13} \, B a^{4} b^{6} x^{13} + \frac{120}{13} \, A a^{3} b^{7} x^{13} + 21 \, B a^{5} b^{5} x^{12} + \frac{35}{2} \, A a^{4} b^{6} x^{12} + \frac{210}{11} \, B a^{6} b^{4} x^{11} + \frac{252}{11} \, A a^{5} b^{5} x^{11} + 12 \, B a^{7} b^{3} x^{10} + 21 \, A a^{6} b^{4} x^{10} + 5 \, B a^{8} b^{2} x^{9} + \frac{40}{3} \, A a^{7} b^{3} x^{9} + \frac{5}{4} \, B a^{9} b x^{8} + \frac{45}{8} \, A a^{8} b^{2} x^{8} + \frac{1}{7} \, B a^{10} x^{7} + \frac{10}{7} \, A a^{9} b x^{7} + \frac{1}{6} \, A a^{10} x^{6}"," ",0,"1/17*B*b^10*x^17 + 5/8*B*a*b^9*x^16 + 1/16*A*b^10*x^16 + 3*B*a^2*b^8*x^15 + 2/3*A*a*b^9*x^15 + 60/7*B*a^3*b^7*x^14 + 45/14*A*a^2*b^8*x^14 + 210/13*B*a^4*b^6*x^13 + 120/13*A*a^3*b^7*x^13 + 21*B*a^5*b^5*x^12 + 35/2*A*a^4*b^6*x^12 + 210/11*B*a^6*b^4*x^11 + 252/11*A*a^5*b^5*x^11 + 12*B*a^7*b^3*x^10 + 21*A*a^6*b^4*x^10 + 5*B*a^8*b^2*x^9 + 40/3*A*a^7*b^3*x^9 + 5/4*B*a^9*b*x^8 + 45/8*A*a^8*b^2*x^8 + 1/7*B*a^10*x^7 + 10/7*A*a^9*b*x^7 + 1/6*A*a^10*x^6","A",0
143,1,245,0,1.315227," ","integrate(x^4*(b*x+a)^10*(B*x+A),x, algorithm=""giac"")","\frac{1}{16} \, B b^{10} x^{16} + \frac{2}{3} \, B a b^{9} x^{15} + \frac{1}{15} \, A b^{10} x^{15} + \frac{45}{14} \, B a^{2} b^{8} x^{14} + \frac{5}{7} \, A a b^{9} x^{14} + \frac{120}{13} \, B a^{3} b^{7} x^{13} + \frac{45}{13} \, A a^{2} b^{8} x^{13} + \frac{35}{2} \, B a^{4} b^{6} x^{12} + 10 \, A a^{3} b^{7} x^{12} + \frac{252}{11} \, B a^{5} b^{5} x^{11} + \frac{210}{11} \, A a^{4} b^{6} x^{11} + 21 \, B a^{6} b^{4} x^{10} + \frac{126}{5} \, A a^{5} b^{5} x^{10} + \frac{40}{3} \, B a^{7} b^{3} x^{9} + \frac{70}{3} \, A a^{6} b^{4} x^{9} + \frac{45}{8} \, B a^{8} b^{2} x^{8} + 15 \, A a^{7} b^{3} x^{8} + \frac{10}{7} \, B a^{9} b x^{7} + \frac{45}{7} \, A a^{8} b^{2} x^{7} + \frac{1}{6} \, B a^{10} x^{6} + \frac{5}{3} \, A a^{9} b x^{6} + \frac{1}{5} \, A a^{10} x^{5}"," ",0,"1/16*B*b^10*x^16 + 2/3*B*a*b^9*x^15 + 1/15*A*b^10*x^15 + 45/14*B*a^2*b^8*x^14 + 5/7*A*a*b^9*x^14 + 120/13*B*a^3*b^7*x^13 + 45/13*A*a^2*b^8*x^13 + 35/2*B*a^4*b^6*x^12 + 10*A*a^3*b^7*x^12 + 252/11*B*a^5*b^5*x^11 + 210/11*A*a^4*b^6*x^11 + 21*B*a^6*b^4*x^10 + 126/5*A*a^5*b^5*x^10 + 40/3*B*a^7*b^3*x^9 + 70/3*A*a^6*b^4*x^9 + 45/8*B*a^8*b^2*x^8 + 15*A*a^7*b^3*x^8 + 10/7*B*a^9*b*x^7 + 45/7*A*a^8*b^2*x^7 + 1/6*B*a^10*x^6 + 5/3*A*a^9*b*x^6 + 1/5*A*a^10*x^5","A",0
144,1,245,0,1.253714," ","integrate(x^3*(b*x+a)^10*(B*x+A),x, algorithm=""giac"")","\frac{1}{15} \, B b^{10} x^{15} + \frac{5}{7} \, B a b^{9} x^{14} + \frac{1}{14} \, A b^{10} x^{14} + \frac{45}{13} \, B a^{2} b^{8} x^{13} + \frac{10}{13} \, A a b^{9} x^{13} + 10 \, B a^{3} b^{7} x^{12} + \frac{15}{4} \, A a^{2} b^{8} x^{12} + \frac{210}{11} \, B a^{4} b^{6} x^{11} + \frac{120}{11} \, A a^{3} b^{7} x^{11} + \frac{126}{5} \, B a^{5} b^{5} x^{10} + 21 \, A a^{4} b^{6} x^{10} + \frac{70}{3} \, B a^{6} b^{4} x^{9} + 28 \, A a^{5} b^{5} x^{9} + 15 \, B a^{7} b^{3} x^{8} + \frac{105}{4} \, A a^{6} b^{4} x^{8} + \frac{45}{7} \, B a^{8} b^{2} x^{7} + \frac{120}{7} \, A a^{7} b^{3} x^{7} + \frac{5}{3} \, B a^{9} b x^{6} + \frac{15}{2} \, A a^{8} b^{2} x^{6} + \frac{1}{5} \, B a^{10} x^{5} + 2 \, A a^{9} b x^{5} + \frac{1}{4} \, A a^{10} x^{4}"," ",0,"1/15*B*b^10*x^15 + 5/7*B*a*b^9*x^14 + 1/14*A*b^10*x^14 + 45/13*B*a^2*b^8*x^13 + 10/13*A*a*b^9*x^13 + 10*B*a^3*b^7*x^12 + 15/4*A*a^2*b^8*x^12 + 210/11*B*a^4*b^6*x^11 + 120/11*A*a^3*b^7*x^11 + 126/5*B*a^5*b^5*x^10 + 21*A*a^4*b^6*x^10 + 70/3*B*a^6*b^4*x^9 + 28*A*a^5*b^5*x^9 + 15*B*a^7*b^3*x^8 + 105/4*A*a^6*b^4*x^8 + 45/7*B*a^8*b^2*x^7 + 120/7*A*a^7*b^3*x^7 + 5/3*B*a^9*b*x^6 + 15/2*A*a^8*b^2*x^6 + 1/5*B*a^10*x^5 + 2*A*a^9*b*x^5 + 1/4*A*a^10*x^4","B",0
145,1,245,0,1.280199," ","integrate(x^2*(b*x+a)^10*(B*x+A),x, algorithm=""giac"")","\frac{1}{14} \, B b^{10} x^{14} + \frac{10}{13} \, B a b^{9} x^{13} + \frac{1}{13} \, A b^{10} x^{13} + \frac{15}{4} \, B a^{2} b^{8} x^{12} + \frac{5}{6} \, A a b^{9} x^{12} + \frac{120}{11} \, B a^{3} b^{7} x^{11} + \frac{45}{11} \, A a^{2} b^{8} x^{11} + 21 \, B a^{4} b^{6} x^{10} + 12 \, A a^{3} b^{7} x^{10} + 28 \, B a^{5} b^{5} x^{9} + \frac{70}{3} \, A a^{4} b^{6} x^{9} + \frac{105}{4} \, B a^{6} b^{4} x^{8} + \frac{63}{2} \, A a^{5} b^{5} x^{8} + \frac{120}{7} \, B a^{7} b^{3} x^{7} + 30 \, A a^{6} b^{4} x^{7} + \frac{15}{2} \, B a^{8} b^{2} x^{6} + 20 \, A a^{7} b^{3} x^{6} + 2 \, B a^{9} b x^{5} + 9 \, A a^{8} b^{2} x^{5} + \frac{1}{4} \, B a^{10} x^{4} + \frac{5}{2} \, A a^{9} b x^{4} + \frac{1}{3} \, A a^{10} x^{3}"," ",0,"1/14*B*b^10*x^14 + 10/13*B*a*b^9*x^13 + 1/13*A*b^10*x^13 + 15/4*B*a^2*b^8*x^12 + 5/6*A*a*b^9*x^12 + 120/11*B*a^3*b^7*x^11 + 45/11*A*a^2*b^8*x^11 + 21*B*a^4*b^6*x^10 + 12*A*a^3*b^7*x^10 + 28*B*a^5*b^5*x^9 + 70/3*A*a^4*b^6*x^9 + 105/4*B*a^6*b^4*x^8 + 63/2*A*a^5*b^5*x^8 + 120/7*B*a^7*b^3*x^7 + 30*A*a^6*b^4*x^7 + 15/2*B*a^8*b^2*x^6 + 20*A*a^7*b^3*x^6 + 2*B*a^9*b*x^5 + 9*A*a^8*b^2*x^5 + 1/4*B*a^10*x^4 + 5/2*A*a^9*b*x^4 + 1/3*A*a^10*x^3","B",0
146,1,245,0,1.301534," ","integrate(x*(b*x+a)^10*(B*x+A),x, algorithm=""giac"")","\frac{1}{13} \, B b^{10} x^{13} + \frac{5}{6} \, B a b^{9} x^{12} + \frac{1}{12} \, A b^{10} x^{12} + \frac{45}{11} \, B a^{2} b^{8} x^{11} + \frac{10}{11} \, A a b^{9} x^{11} + 12 \, B a^{3} b^{7} x^{10} + \frac{9}{2} \, A a^{2} b^{8} x^{10} + \frac{70}{3} \, B a^{4} b^{6} x^{9} + \frac{40}{3} \, A a^{3} b^{7} x^{9} + \frac{63}{2} \, B a^{5} b^{5} x^{8} + \frac{105}{4} \, A a^{4} b^{6} x^{8} + 30 \, B a^{6} b^{4} x^{7} + 36 \, A a^{5} b^{5} x^{7} + 20 \, B a^{7} b^{3} x^{6} + 35 \, A a^{6} b^{4} x^{6} + 9 \, B a^{8} b^{2} x^{5} + 24 \, A a^{7} b^{3} x^{5} + \frac{5}{2} \, B a^{9} b x^{4} + \frac{45}{4} \, A a^{8} b^{2} x^{4} + \frac{1}{3} \, B a^{10} x^{3} + \frac{10}{3} \, A a^{9} b x^{3} + \frac{1}{2} \, A a^{10} x^{2}"," ",0,"1/13*B*b^10*x^13 + 5/6*B*a*b^9*x^12 + 1/12*A*b^10*x^12 + 45/11*B*a^2*b^8*x^11 + 10/11*A*a*b^9*x^11 + 12*B*a^3*b^7*x^10 + 9/2*A*a^2*b^8*x^10 + 70/3*B*a^4*b^6*x^9 + 40/3*A*a^3*b^7*x^9 + 63/2*B*a^5*b^5*x^8 + 105/4*A*a^4*b^6*x^8 + 30*B*a^6*b^4*x^7 + 36*A*a^5*b^5*x^7 + 20*B*a^7*b^3*x^6 + 35*A*a^6*b^4*x^6 + 9*B*a^8*b^2*x^5 + 24*A*a^7*b^3*x^5 + 5/2*B*a^9*b*x^4 + 45/4*A*a^8*b^2*x^4 + 1/3*B*a^10*x^3 + 10/3*A*a^9*b*x^3 + 1/2*A*a^10*x^2","B",0
147,1,241,0,1.286243," ","integrate((b*x+a)^10*(B*x+A),x, algorithm=""giac"")","\frac{1}{12} \, B b^{10} x^{12} + \frac{10}{11} \, B a b^{9} x^{11} + \frac{1}{11} \, A b^{10} x^{11} + \frac{9}{2} \, B a^{2} b^{8} x^{10} + A a b^{9} x^{10} + \frac{40}{3} \, B a^{3} b^{7} x^{9} + 5 \, A a^{2} b^{8} x^{9} + \frac{105}{4} \, B a^{4} b^{6} x^{8} + 15 \, A a^{3} b^{7} x^{8} + 36 \, B a^{5} b^{5} x^{7} + 30 \, A a^{4} b^{6} x^{7} + 35 \, B a^{6} b^{4} x^{6} + 42 \, A a^{5} b^{5} x^{6} + 24 \, B a^{7} b^{3} x^{5} + 42 \, A a^{6} b^{4} x^{5} + \frac{45}{4} \, B a^{8} b^{2} x^{4} + 30 \, A a^{7} b^{3} x^{4} + \frac{10}{3} \, B a^{9} b x^{3} + 15 \, A a^{8} b^{2} x^{3} + \frac{1}{2} \, B a^{10} x^{2} + 5 \, A a^{9} b x^{2} + A a^{10} x"," ",0,"1/12*B*b^10*x^12 + 10/11*B*a*b^9*x^11 + 1/11*A*b^10*x^11 + 9/2*B*a^2*b^8*x^10 + A*a*b^9*x^10 + 40/3*B*a^3*b^7*x^9 + 5*A*a^2*b^8*x^9 + 105/4*B*a^4*b^6*x^8 + 15*A*a^3*b^7*x^8 + 36*B*a^5*b^5*x^7 + 30*A*a^4*b^6*x^7 + 35*B*a^6*b^4*x^6 + 42*A*a^5*b^5*x^6 + 24*B*a^7*b^3*x^5 + 42*A*a^6*b^4*x^5 + 45/4*B*a^8*b^2*x^4 + 30*A*a^7*b^3*x^4 + 10/3*B*a^9*b*x^3 + 15*A*a^8*b^2*x^3 + 1/2*B*a^10*x^2 + 5*A*a^9*b*x^2 + A*a^10*x","B",0
148,1,238,0,1.358824," ","integrate((b*x+a)^10*(B*x+A)/x,x, algorithm=""giac"")","\frac{1}{11} \, B b^{10} x^{11} + B a b^{9} x^{10} + \frac{1}{10} \, A b^{10} x^{10} + 5 \, B a^{2} b^{8} x^{9} + \frac{10}{9} \, A a b^{9} x^{9} + 15 \, B a^{3} b^{7} x^{8} + \frac{45}{8} \, A a^{2} b^{8} x^{8} + 30 \, B a^{4} b^{6} x^{7} + \frac{120}{7} \, A a^{3} b^{7} x^{7} + 42 \, B a^{5} b^{5} x^{6} + 35 \, A a^{4} b^{6} x^{6} + 42 \, B a^{6} b^{4} x^{5} + \frac{252}{5} \, A a^{5} b^{5} x^{5} + 30 \, B a^{7} b^{3} x^{4} + \frac{105}{2} \, A a^{6} b^{4} x^{4} + 15 \, B a^{8} b^{2} x^{3} + 40 \, A a^{7} b^{3} x^{3} + 5 \, B a^{9} b x^{2} + \frac{45}{2} \, A a^{8} b^{2} x^{2} + B a^{10} x + 10 \, A a^{9} b x + A a^{10} \log\left({\left| x \right|}\right)"," ",0,"1/11*B*b^10*x^11 + B*a*b^9*x^10 + 1/10*A*b^10*x^10 + 5*B*a^2*b^8*x^9 + 10/9*A*a*b^9*x^9 + 15*B*a^3*b^7*x^8 + 45/8*A*a^2*b^8*x^8 + 30*B*a^4*b^6*x^7 + 120/7*A*a^3*b^7*x^7 + 42*B*a^5*b^5*x^6 + 35*A*a^4*b^6*x^6 + 42*B*a^6*b^4*x^5 + 252/5*A*a^5*b^5*x^5 + 30*B*a^7*b^3*x^4 + 105/2*A*a^6*b^4*x^4 + 15*B*a^8*b^2*x^3 + 40*A*a^7*b^3*x^3 + 5*B*a^9*b*x^2 + 45/2*A*a^8*b^2*x^2 + B*a^10*x + 10*A*a^9*b*x + A*a^10*log(abs(x))","A",0
149,1,239,0,1.190054," ","integrate((b*x+a)^10*(B*x+A)/x^2,x, algorithm=""giac"")","\frac{1}{10} \, B b^{10} x^{10} + \frac{10}{9} \, B a b^{9} x^{9} + \frac{1}{9} \, A b^{10} x^{9} + \frac{45}{8} \, B a^{2} b^{8} x^{8} + \frac{5}{4} \, A a b^{9} x^{8} + \frac{120}{7} \, B a^{3} b^{7} x^{7} + \frac{45}{7} \, A a^{2} b^{8} x^{7} + 35 \, B a^{4} b^{6} x^{6} + 20 \, A a^{3} b^{7} x^{6} + \frac{252}{5} \, B a^{5} b^{5} x^{5} + 42 \, A a^{4} b^{6} x^{5} + \frac{105}{2} \, B a^{6} b^{4} x^{4} + 63 \, A a^{5} b^{5} x^{4} + 40 \, B a^{7} b^{3} x^{3} + 70 \, A a^{6} b^{4} x^{3} + \frac{45}{2} \, B a^{8} b^{2} x^{2} + 60 \, A a^{7} b^{3} x^{2} + 10 \, B a^{9} b x + 45 \, A a^{8} b^{2} x - \frac{A a^{10}}{x} + {\left(B a^{10} + 10 \, A a^{9} b\right)} \log\left({\left| x \right|}\right)"," ",0,"1/10*B*b^10*x^10 + 10/9*B*a*b^9*x^9 + 1/9*A*b^10*x^9 + 45/8*B*a^2*b^8*x^8 + 5/4*A*a*b^9*x^8 + 120/7*B*a^3*b^7*x^7 + 45/7*A*a^2*b^8*x^7 + 35*B*a^4*b^6*x^6 + 20*A*a^3*b^7*x^6 + 252/5*B*a^5*b^5*x^5 + 42*A*a^4*b^6*x^5 + 105/2*B*a^6*b^4*x^4 + 63*A*a^5*b^5*x^4 + 40*B*a^7*b^3*x^3 + 70*A*a^6*b^4*x^3 + 45/2*B*a^8*b^2*x^2 + 60*A*a^7*b^3*x^2 + 10*B*a^9*b*x + 45*A*a^8*b^2*x - A*a^10/x + (B*a^10 + 10*A*a^9*b)*log(abs(x))","A",0
150,1,240,0,0.768723," ","integrate((b*x+a)^10*(B*x+A)/x^3,x, algorithm=""giac"")","\frac{1}{9} \, B b^{10} x^{9} + \frac{5}{4} \, B a b^{9} x^{8} + \frac{1}{8} \, A b^{10} x^{8} + \frac{45}{7} \, B a^{2} b^{8} x^{7} + \frac{10}{7} \, A a b^{9} x^{7} + 20 \, B a^{3} b^{7} x^{6} + \frac{15}{2} \, A a^{2} b^{8} x^{6} + 42 \, B a^{4} b^{6} x^{5} + 24 \, A a^{3} b^{7} x^{5} + 63 \, B a^{5} b^{5} x^{4} + \frac{105}{2} \, A a^{4} b^{6} x^{4} + 70 \, B a^{6} b^{4} x^{3} + 84 \, A a^{5} b^{5} x^{3} + 60 \, B a^{7} b^{3} x^{2} + 105 \, A a^{6} b^{4} x^{2} + 45 \, B a^{8} b^{2} x + 120 \, A a^{7} b^{3} x + 5 \, {\left(2 \, B a^{9} b + 9 \, A a^{8} b^{2}\right)} \log\left({\left| x \right|}\right) - \frac{A a^{10} + 2 \, {\left(B a^{10} + 10 \, A a^{9} b\right)} x}{2 \, x^{2}}"," ",0,"1/9*B*b^10*x^9 + 5/4*B*a*b^9*x^8 + 1/8*A*b^10*x^8 + 45/7*B*a^2*b^8*x^7 + 10/7*A*a*b^9*x^7 + 20*B*a^3*b^7*x^6 + 15/2*A*a^2*b^8*x^6 + 42*B*a^4*b^6*x^5 + 24*A*a^3*b^7*x^5 + 63*B*a^5*b^5*x^4 + 105/2*A*a^4*b^6*x^4 + 70*B*a^6*b^4*x^3 + 84*A*a^5*b^5*x^3 + 60*B*a^7*b^3*x^2 + 105*A*a^6*b^4*x^2 + 45*B*a^8*b^2*x + 120*A*a^7*b^3*x + 5*(2*B*a^9*b + 9*A*a^8*b^2)*log(abs(x)) - 1/2*(A*a^10 + 2*(B*a^10 + 10*A*a^9*b)*x)/x^2","A",0
151,1,241,0,0.849092," ","integrate((b*x+a)^10*(B*x+A)/x^4,x, algorithm=""giac"")","\frac{1}{8} \, B b^{10} x^{8} + \frac{10}{7} \, B a b^{9} x^{7} + \frac{1}{7} \, A b^{10} x^{7} + \frac{15}{2} \, B a^{2} b^{8} x^{6} + \frac{5}{3} \, A a b^{9} x^{6} + 24 \, B a^{3} b^{7} x^{5} + 9 \, A a^{2} b^{8} x^{5} + \frac{105}{2} \, B a^{4} b^{6} x^{4} + 30 \, A a^{3} b^{7} x^{4} + 84 \, B a^{5} b^{5} x^{3} + 70 \, A a^{4} b^{6} x^{3} + 105 \, B a^{6} b^{4} x^{2} + 126 \, A a^{5} b^{5} x^{2} + 120 \, B a^{7} b^{3} x + 210 \, A a^{6} b^{4} x + 15 \, {\left(3 \, B a^{8} b^{2} + 8 \, A a^{7} b^{3}\right)} \log\left({\left| x \right|}\right) - \frac{2 \, A a^{10} + 30 \, {\left(2 \, B a^{9} b + 9 \, A a^{8} b^{2}\right)} x^{2} + 3 \, {\left(B a^{10} + 10 \, A a^{9} b\right)} x}{6 \, x^{3}}"," ",0,"1/8*B*b^10*x^8 + 10/7*B*a*b^9*x^7 + 1/7*A*b^10*x^7 + 15/2*B*a^2*b^8*x^6 + 5/3*A*a*b^9*x^6 + 24*B*a^3*b^7*x^5 + 9*A*a^2*b^8*x^5 + 105/2*B*a^4*b^6*x^4 + 30*A*a^3*b^7*x^4 + 84*B*a^5*b^5*x^3 + 70*A*a^4*b^6*x^3 + 105*B*a^6*b^4*x^2 + 126*A*a^5*b^5*x^2 + 120*B*a^7*b^3*x + 210*A*a^6*b^4*x + 15*(3*B*a^8*b^2 + 8*A*a^7*b^3)*log(abs(x)) - 1/6*(2*A*a^10 + 30*(2*B*a^9*b + 9*A*a^8*b^2)*x^2 + 3*(B*a^10 + 10*A*a^9*b)*x)/x^3","A",0
152,1,241,0,0.974684," ","integrate((b*x+a)^10*(B*x+A)/x^5,x, algorithm=""giac"")","\frac{1}{7} \, B b^{10} x^{7} + \frac{5}{3} \, B a b^{9} x^{6} + \frac{1}{6} \, A b^{10} x^{6} + 9 \, B a^{2} b^{8} x^{5} + 2 \, A a b^{9} x^{5} + 30 \, B a^{3} b^{7} x^{4} + \frac{45}{4} \, A a^{2} b^{8} x^{4} + 70 \, B a^{4} b^{6} x^{3} + 40 \, A a^{3} b^{7} x^{3} + 126 \, B a^{5} b^{5} x^{2} + 105 \, A a^{4} b^{6} x^{2} + 210 \, B a^{6} b^{4} x + 252 \, A a^{5} b^{5} x + 30 \, {\left(4 \, B a^{7} b^{3} + 7 \, A a^{6} b^{4}\right)} \log\left({\left| x \right|}\right) - \frac{3 \, A a^{10} + 180 \, {\left(3 \, B a^{8} b^{2} + 8 \, A a^{7} b^{3}\right)} x^{3} + 30 \, {\left(2 \, B a^{9} b + 9 \, A a^{8} b^{2}\right)} x^{2} + 4 \, {\left(B a^{10} + 10 \, A a^{9} b\right)} x}{12 \, x^{4}}"," ",0,"1/7*B*b^10*x^7 + 5/3*B*a*b^9*x^6 + 1/6*A*b^10*x^6 + 9*B*a^2*b^8*x^5 + 2*A*a*b^9*x^5 + 30*B*a^3*b^7*x^4 + 45/4*A*a^2*b^8*x^4 + 70*B*a^4*b^6*x^3 + 40*A*a^3*b^7*x^3 + 126*B*a^5*b^5*x^2 + 105*A*a^4*b^6*x^2 + 210*B*a^6*b^4*x + 252*A*a^5*b^5*x + 30*(4*B*a^7*b^3 + 7*A*a^6*b^4)*log(abs(x)) - 1/12*(3*A*a^10 + 180*(3*B*a^8*b^2 + 8*A*a^7*b^3)*x^3 + 30*(2*B*a^9*b + 9*A*a^8*b^2)*x^2 + 4*(B*a^10 + 10*A*a^9*b)*x)/x^4","A",0
153,1,241,0,0.939792," ","integrate((b*x+a)^10*(B*x+A)/x^6,x, algorithm=""giac"")","\frac{1}{6} \, B b^{10} x^{6} + 2 \, B a b^{9} x^{5} + \frac{1}{5} \, A b^{10} x^{5} + \frac{45}{4} \, B a^{2} b^{8} x^{4} + \frac{5}{2} \, A a b^{9} x^{4} + 40 \, B a^{3} b^{7} x^{3} + 15 \, A a^{2} b^{8} x^{3} + 105 \, B a^{4} b^{6} x^{2} + 60 \, A a^{3} b^{7} x^{2} + 252 \, B a^{5} b^{5} x + 210 \, A a^{4} b^{6} x + 42 \, {\left(5 \, B a^{6} b^{4} + 6 \, A a^{5} b^{5}\right)} \log\left({\left| x \right|}\right) - \frac{12 \, A a^{10} + 1800 \, {\left(4 \, B a^{7} b^{3} + 7 \, A a^{6} b^{4}\right)} x^{4} + 450 \, {\left(3 \, B a^{8} b^{2} + 8 \, A a^{7} b^{3}\right)} x^{3} + 100 \, {\left(2 \, B a^{9} b + 9 \, A a^{8} b^{2}\right)} x^{2} + 15 \, {\left(B a^{10} + 10 \, A a^{9} b\right)} x}{60 \, x^{5}}"," ",0,"1/6*B*b^10*x^6 + 2*B*a*b^9*x^5 + 1/5*A*b^10*x^5 + 45/4*B*a^2*b^8*x^4 + 5/2*A*a*b^9*x^4 + 40*B*a^3*b^7*x^3 + 15*A*a^2*b^8*x^3 + 105*B*a^4*b^6*x^2 + 60*A*a^3*b^7*x^2 + 252*B*a^5*b^5*x + 210*A*a^4*b^6*x + 42*(5*B*a^6*b^4 + 6*A*a^5*b^5)*log(abs(x)) - 1/60*(12*A*a^10 + 1800*(4*B*a^7*b^3 + 7*A*a^6*b^4)*x^4 + 450*(3*B*a^8*b^2 + 8*A*a^7*b^3)*x^3 + 100*(2*B*a^9*b + 9*A*a^8*b^2)*x^2 + 15*(B*a^10 + 10*A*a^9*b)*x)/x^5","A",0
154,1,241,0,0.882618," ","integrate((b*x+a)^10*(B*x+A)/x^7,x, algorithm=""giac"")","\frac{1}{5} \, B b^{10} x^{5} + \frac{5}{2} \, B a b^{9} x^{4} + \frac{1}{4} \, A b^{10} x^{4} + 15 \, B a^{2} b^{8} x^{3} + \frac{10}{3} \, A a b^{9} x^{3} + 60 \, B a^{3} b^{7} x^{2} + \frac{45}{2} \, A a^{2} b^{8} x^{2} + 210 \, B a^{4} b^{6} x + 120 \, A a^{3} b^{7} x + 42 \, {\left(6 \, B a^{5} b^{5} + 5 \, A a^{4} b^{6}\right)} \log\left({\left| x \right|}\right) - \frac{10 \, A a^{10} + 2520 \, {\left(5 \, B a^{6} b^{4} + 6 \, A a^{5} b^{5}\right)} x^{5} + 900 \, {\left(4 \, B a^{7} b^{3} + 7 \, A a^{6} b^{4}\right)} x^{4} + 300 \, {\left(3 \, B a^{8} b^{2} + 8 \, A a^{7} b^{3}\right)} x^{3} + 75 \, {\left(2 \, B a^{9} b + 9 \, A a^{8} b^{2}\right)} x^{2} + 12 \, {\left(B a^{10} + 10 \, A a^{9} b\right)} x}{60 \, x^{6}}"," ",0,"1/5*B*b^10*x^5 + 5/2*B*a*b^9*x^4 + 1/4*A*b^10*x^4 + 15*B*a^2*b^8*x^3 + 10/3*A*a*b^9*x^3 + 60*B*a^3*b^7*x^2 + 45/2*A*a^2*b^8*x^2 + 210*B*a^4*b^6*x + 120*A*a^3*b^7*x + 42*(6*B*a^5*b^5 + 5*A*a^4*b^6)*log(abs(x)) - 1/60*(10*A*a^10 + 2520*(5*B*a^6*b^4 + 6*A*a^5*b^5)*x^5 + 900*(4*B*a^7*b^3 + 7*A*a^6*b^4)*x^4 + 300*(3*B*a^8*b^2 + 8*A*a^7*b^3)*x^3 + 75*(2*B*a^9*b + 9*A*a^8*b^2)*x^2 + 12*(B*a^10 + 10*A*a^9*b)*x)/x^6","A",0
155,1,241,0,0.998870," ","integrate((b*x+a)^10*(B*x+A)/x^8,x, algorithm=""giac"")","\frac{1}{4} \, B b^{10} x^{4} + \frac{10}{3} \, B a b^{9} x^{3} + \frac{1}{3} \, A b^{10} x^{3} + \frac{45}{2} \, B a^{2} b^{8} x^{2} + 5 \, A a b^{9} x^{2} + 120 \, B a^{3} b^{7} x + 45 \, A a^{2} b^{8} x + 30 \, {\left(7 \, B a^{4} b^{6} + 4 \, A a^{3} b^{7}\right)} \log\left({\left| x \right|}\right) - \frac{12 \, A a^{10} + 3528 \, {\left(6 \, B a^{5} b^{5} + 5 \, A a^{4} b^{6}\right)} x^{6} + 1764 \, {\left(5 \, B a^{6} b^{4} + 6 \, A a^{5} b^{5}\right)} x^{5} + 840 \, {\left(4 \, B a^{7} b^{3} + 7 \, A a^{6} b^{4}\right)} x^{4} + 315 \, {\left(3 \, B a^{8} b^{2} + 8 \, A a^{7} b^{3}\right)} x^{3} + 84 \, {\left(2 \, B a^{9} b + 9 \, A a^{8} b^{2}\right)} x^{2} + 14 \, {\left(B a^{10} + 10 \, A a^{9} b\right)} x}{84 \, x^{7}}"," ",0,"1/4*B*b^10*x^4 + 10/3*B*a*b^9*x^3 + 1/3*A*b^10*x^3 + 45/2*B*a^2*b^8*x^2 + 5*A*a*b^9*x^2 + 120*B*a^3*b^7*x + 45*A*a^2*b^8*x + 30*(7*B*a^4*b^6 + 4*A*a^3*b^7)*log(abs(x)) - 1/84*(12*A*a^10 + 3528*(6*B*a^5*b^5 + 5*A*a^4*b^6)*x^6 + 1764*(5*B*a^6*b^4 + 6*A*a^5*b^5)*x^5 + 840*(4*B*a^7*b^3 + 7*A*a^6*b^4)*x^4 + 315*(3*B*a^8*b^2 + 8*A*a^7*b^3)*x^3 + 84*(2*B*a^9*b + 9*A*a^8*b^2)*x^2 + 14*(B*a^10 + 10*A*a^9*b)*x)/x^7","A",0
156,1,241,0,1.053749," ","integrate((b*x+a)^10*(B*x+A)/x^9,x, algorithm=""giac"")","\frac{1}{3} \, B b^{10} x^{3} + 5 \, B a b^{9} x^{2} + \frac{1}{2} \, A b^{10} x^{2} + 45 \, B a^{2} b^{8} x + 10 \, A a b^{9} x + 15 \, {\left(8 \, B a^{3} b^{7} + 3 \, A a^{2} b^{8}\right)} \log\left({\left| x \right|}\right) - \frac{21 \, A a^{10} + 5040 \, {\left(7 \, B a^{4} b^{6} + 4 \, A a^{3} b^{7}\right)} x^{7} + 3528 \, {\left(6 \, B a^{5} b^{5} + 5 \, A a^{4} b^{6}\right)} x^{6} + 2352 \, {\left(5 \, B a^{6} b^{4} + 6 \, A a^{5} b^{5}\right)} x^{5} + 1260 \, {\left(4 \, B a^{7} b^{3} + 7 \, A a^{6} b^{4}\right)} x^{4} + 504 \, {\left(3 \, B a^{8} b^{2} + 8 \, A a^{7} b^{3}\right)} x^{3} + 140 \, {\left(2 \, B a^{9} b + 9 \, A a^{8} b^{2}\right)} x^{2} + 24 \, {\left(B a^{10} + 10 \, A a^{9} b\right)} x}{168 \, x^{8}}"," ",0,"1/3*B*b^10*x^3 + 5*B*a*b^9*x^2 + 1/2*A*b^10*x^2 + 45*B*a^2*b^8*x + 10*A*a*b^9*x + 15*(8*B*a^3*b^7 + 3*A*a^2*b^8)*log(abs(x)) - 1/168*(21*A*a^10 + 5040*(7*B*a^4*b^6 + 4*A*a^3*b^7)*x^7 + 3528*(6*B*a^5*b^5 + 5*A*a^4*b^6)*x^6 + 2352*(5*B*a^6*b^4 + 6*A*a^5*b^5)*x^5 + 1260*(4*B*a^7*b^3 + 7*A*a^6*b^4)*x^4 + 504*(3*B*a^8*b^2 + 8*A*a^7*b^3)*x^3 + 140*(2*B*a^9*b + 9*A*a^8*b^2)*x^2 + 24*(B*a^10 + 10*A*a^9*b)*x)/x^8","A",0
157,1,240,0,0.825869," ","integrate((b*x+a)^10*(B*x+A)/x^10,x, algorithm=""giac"")","\frac{1}{2} \, B b^{10} x^{2} + 10 \, B a b^{9} x + A b^{10} x + 5 \, {\left(9 \, B a^{2} b^{8} + 2 \, A a b^{9}\right)} \log\left({\left| x \right|}\right) - \frac{56 \, A a^{10} + 7560 \, {\left(8 \, B a^{3} b^{7} + 3 \, A a^{2} b^{8}\right)} x^{8} + 7560 \, {\left(7 \, B a^{4} b^{6} + 4 \, A a^{3} b^{7}\right)} x^{7} + 7056 \, {\left(6 \, B a^{5} b^{5} + 5 \, A a^{4} b^{6}\right)} x^{6} + 5292 \, {\left(5 \, B a^{6} b^{4} + 6 \, A a^{5} b^{5}\right)} x^{5} + 3024 \, {\left(4 \, B a^{7} b^{3} + 7 \, A a^{6} b^{4}\right)} x^{4} + 1260 \, {\left(3 \, B a^{8} b^{2} + 8 \, A a^{7} b^{3}\right)} x^{3} + 360 \, {\left(2 \, B a^{9} b + 9 \, A a^{8} b^{2}\right)} x^{2} + 63 \, {\left(B a^{10} + 10 \, A a^{9} b\right)} x}{504 \, x^{9}}"," ",0,"1/2*B*b^10*x^2 + 10*B*a*b^9*x + A*b^10*x + 5*(9*B*a^2*b^8 + 2*A*a*b^9)*log(abs(x)) - 1/504*(56*A*a^10 + 7560*(8*B*a^3*b^7 + 3*A*a^2*b^8)*x^8 + 7560*(7*B*a^4*b^6 + 4*A*a^3*b^7)*x^7 + 7056*(6*B*a^5*b^5 + 5*A*a^4*b^6)*x^6 + 5292*(5*B*a^6*b^4 + 6*A*a^5*b^5)*x^5 + 3024*(4*B*a^7*b^3 + 7*A*a^6*b^4)*x^4 + 1260*(3*B*a^8*b^2 + 8*A*a^7*b^3)*x^3 + 360*(2*B*a^9*b + 9*A*a^8*b^2)*x^2 + 63*(B*a^10 + 10*A*a^9*b)*x)/x^9","A",0
158,1,240,0,1.014131," ","integrate((b*x+a)^10*(B*x+A)/x^11,x, algorithm=""giac"")","B b^{10} x + {\left(10 \, B a b^{9} + A b^{10}\right)} \log\left({\left| x \right|}\right) - \frac{252 \, A a^{10} + 12600 \, {\left(9 \, B a^{2} b^{8} + 2 \, A a b^{9}\right)} x^{9} + 18900 \, {\left(8 \, B a^{3} b^{7} + 3 \, A a^{2} b^{8}\right)} x^{8} + 25200 \, {\left(7 \, B a^{4} b^{6} + 4 \, A a^{3} b^{7}\right)} x^{7} + 26460 \, {\left(6 \, B a^{5} b^{5} + 5 \, A a^{4} b^{6}\right)} x^{6} + 21168 \, {\left(5 \, B a^{6} b^{4} + 6 \, A a^{5} b^{5}\right)} x^{5} + 12600 \, {\left(4 \, B a^{7} b^{3} + 7 \, A a^{6} b^{4}\right)} x^{4} + 5400 \, {\left(3 \, B a^{8} b^{2} + 8 \, A a^{7} b^{3}\right)} x^{3} + 1575 \, {\left(2 \, B a^{9} b + 9 \, A a^{8} b^{2}\right)} x^{2} + 280 \, {\left(B a^{10} + 10 \, A a^{9} b\right)} x}{2520 \, x^{10}}"," ",0,"B*b^10*x + (10*B*a*b^9 + A*b^10)*log(abs(x)) - 1/2520*(252*A*a^10 + 12600*(9*B*a^2*b^8 + 2*A*a*b^9)*x^9 + 18900*(8*B*a^3*b^7 + 3*A*a^2*b^8)*x^8 + 25200*(7*B*a^4*b^6 + 4*A*a^3*b^7)*x^7 + 26460*(6*B*a^5*b^5 + 5*A*a^4*b^6)*x^6 + 21168*(5*B*a^6*b^4 + 6*A*a^5*b^5)*x^5 + 12600*(4*B*a^7*b^3 + 7*A*a^6*b^4)*x^4 + 5400*(3*B*a^8*b^2 + 8*A*a^7*b^3)*x^3 + 1575*(2*B*a^9*b + 9*A*a^8*b^2)*x^2 + 280*(B*a^10 + 10*A*a^9*b)*x)/x^10","A",0
159,1,243,0,0.926402," ","integrate((b*x+a)^10*(B*x+A)/x^12,x, algorithm=""giac"")","B b^{10} \log\left({\left| x \right|}\right) - \frac{2520 \, A a^{10} + 27720 \, {\left(10 \, B a b^{9} + A b^{10}\right)} x^{10} + 69300 \, {\left(9 \, B a^{2} b^{8} + 2 \, A a b^{9}\right)} x^{9} + 138600 \, {\left(8 \, B a^{3} b^{7} + 3 \, A a^{2} b^{8}\right)} x^{8} + 207900 \, {\left(7 \, B a^{4} b^{6} + 4 \, A a^{3} b^{7}\right)} x^{7} + 232848 \, {\left(6 \, B a^{5} b^{5} + 5 \, A a^{4} b^{6}\right)} x^{6} + 194040 \, {\left(5 \, B a^{6} b^{4} + 6 \, A a^{5} b^{5}\right)} x^{5} + 118800 \, {\left(4 \, B a^{7} b^{3} + 7 \, A a^{6} b^{4}\right)} x^{4} + 51975 \, {\left(3 \, B a^{8} b^{2} + 8 \, A a^{7} b^{3}\right)} x^{3} + 15400 \, {\left(2 \, B a^{9} b + 9 \, A a^{8} b^{2}\right)} x^{2} + 2772 \, {\left(B a^{10} + 10 \, A a^{9} b\right)} x}{27720 \, x^{11}}"," ",0,"B*b^10*log(abs(x)) - 1/27720*(2520*A*a^10 + 27720*(10*B*a*b^9 + A*b^10)*x^10 + 69300*(9*B*a^2*b^8 + 2*A*a*b^9)*x^9 + 138600*(8*B*a^3*b^7 + 3*A*a^2*b^8)*x^8 + 207900*(7*B*a^4*b^6 + 4*A*a^3*b^7)*x^7 + 232848*(6*B*a^5*b^5 + 5*A*a^4*b^6)*x^6 + 194040*(5*B*a^6*b^4 + 6*A*a^5*b^5)*x^5 + 118800*(4*B*a^7*b^3 + 7*A*a^6*b^4)*x^4 + 51975*(3*B*a^8*b^2 + 8*A*a^7*b^3)*x^3 + 15400*(2*B*a^9*b + 9*A*a^8*b^2)*x^2 + 2772*(B*a^10 + 10*A*a^9*b)*x)/x^11","A",0
160,1,243,0,0.992857," ","integrate((b*x+a)^10*(B*x+A)/x^13,x, algorithm=""giac"")","-\frac{132 \, B b^{10} x^{11} + 660 \, B a b^{9} x^{10} + 66 \, A b^{10} x^{10} + 1980 \, B a^{2} b^{8} x^{9} + 440 \, A a b^{9} x^{9} + 3960 \, B a^{3} b^{7} x^{8} + 1485 \, A a^{2} b^{8} x^{8} + 5544 \, B a^{4} b^{6} x^{7} + 3168 \, A a^{3} b^{7} x^{7} + 5544 \, B a^{5} b^{5} x^{6} + 4620 \, A a^{4} b^{6} x^{6} + 3960 \, B a^{6} b^{4} x^{5} + 4752 \, A a^{5} b^{5} x^{5} + 1980 \, B a^{7} b^{3} x^{4} + 3465 \, A a^{6} b^{4} x^{4} + 660 \, B a^{8} b^{2} x^{3} + 1760 \, A a^{7} b^{3} x^{3} + 132 \, B a^{9} b x^{2} + 594 \, A a^{8} b^{2} x^{2} + 12 \, B a^{10} x + 120 \, A a^{9} b x + 11 \, A a^{10}}{132 \, x^{12}}"," ",0,"-1/132*(132*B*b^10*x^11 + 660*B*a*b^9*x^10 + 66*A*b^10*x^10 + 1980*B*a^2*b^8*x^9 + 440*A*a*b^9*x^9 + 3960*B*a^3*b^7*x^8 + 1485*A*a^2*b^8*x^8 + 5544*B*a^4*b^6*x^7 + 3168*A*a^3*b^7*x^7 + 5544*B*a^5*b^5*x^6 + 4620*A*a^4*b^6*x^6 + 3960*B*a^6*b^4*x^5 + 4752*A*a^5*b^5*x^5 + 1980*B*a^7*b^3*x^4 + 3465*A*a^6*b^4*x^4 + 660*B*a^8*b^2*x^3 + 1760*A*a^7*b^3*x^3 + 132*B*a^9*b*x^2 + 594*A*a^8*b^2*x^2 + 12*B*a^10*x + 120*A*a^9*b*x + 11*A*a^10)/x^12","B",0
161,1,243,0,1.166655," ","integrate((b*x+a)^10*(B*x+A)/x^14,x, algorithm=""giac"")","-\frac{858 \, B b^{10} x^{11} + 5720 \, B a b^{9} x^{10} + 572 \, A b^{10} x^{10} + 19305 \, B a^{2} b^{8} x^{9} + 4290 \, A a b^{9} x^{9} + 41184 \, B a^{3} b^{7} x^{8} + 15444 \, A a^{2} b^{8} x^{8} + 60060 \, B a^{4} b^{6} x^{7} + 34320 \, A a^{3} b^{7} x^{7} + 61776 \, B a^{5} b^{5} x^{6} + 51480 \, A a^{4} b^{6} x^{6} + 45045 \, B a^{6} b^{4} x^{5} + 54054 \, A a^{5} b^{5} x^{5} + 22880 \, B a^{7} b^{3} x^{4} + 40040 \, A a^{6} b^{4} x^{4} + 7722 \, B a^{8} b^{2} x^{3} + 20592 \, A a^{7} b^{3} x^{3} + 1560 \, B a^{9} b x^{2} + 7020 \, A a^{8} b^{2} x^{2} + 143 \, B a^{10} x + 1430 \, A a^{9} b x + 132 \, A a^{10}}{1716 \, x^{13}}"," ",0,"-1/1716*(858*B*b^10*x^11 + 5720*B*a*b^9*x^10 + 572*A*b^10*x^10 + 19305*B*a^2*b^8*x^9 + 4290*A*a*b^9*x^9 + 41184*B*a^3*b^7*x^8 + 15444*A*a^2*b^8*x^8 + 60060*B*a^4*b^6*x^7 + 34320*A*a^3*b^7*x^7 + 61776*B*a^5*b^5*x^6 + 51480*A*a^4*b^6*x^6 + 45045*B*a^6*b^4*x^5 + 54054*A*a^5*b^5*x^5 + 22880*B*a^7*b^3*x^4 + 40040*A*a^6*b^4*x^4 + 7722*B*a^8*b^2*x^3 + 20592*A*a^7*b^3*x^3 + 1560*B*a^9*b*x^2 + 7020*A*a^8*b^2*x^2 + 143*B*a^10*x + 1430*A*a^9*b*x + 132*A*a^10)/x^13","B",0
162,1,243,0,0.780986," ","integrate((b*x+a)^10*(B*x+A)/x^15,x, algorithm=""giac"")","-\frac{4004 \, B b^{10} x^{11} + 30030 \, B a b^{9} x^{10} + 3003 \, A b^{10} x^{10} + 108108 \, B a^{2} b^{8} x^{9} + 24024 \, A a b^{9} x^{9} + 240240 \, B a^{3} b^{7} x^{8} + 90090 \, A a^{2} b^{8} x^{8} + 360360 \, B a^{4} b^{6} x^{7} + 205920 \, A a^{3} b^{7} x^{7} + 378378 \, B a^{5} b^{5} x^{6} + 315315 \, A a^{4} b^{6} x^{6} + 280280 \, B a^{6} b^{4} x^{5} + 336336 \, A a^{5} b^{5} x^{5} + 144144 \, B a^{7} b^{3} x^{4} + 252252 \, A a^{6} b^{4} x^{4} + 49140 \, B a^{8} b^{2} x^{3} + 131040 \, A a^{7} b^{3} x^{3} + 10010 \, B a^{9} b x^{2} + 45045 \, A a^{8} b^{2} x^{2} + 924 \, B a^{10} x + 9240 \, A a^{9} b x + 858 \, A a^{10}}{12012 \, x^{14}}"," ",0,"-1/12012*(4004*B*b^10*x^11 + 30030*B*a*b^9*x^10 + 3003*A*b^10*x^10 + 108108*B*a^2*b^8*x^9 + 24024*A*a*b^9*x^9 + 240240*B*a^3*b^7*x^8 + 90090*A*a^2*b^8*x^8 + 360360*B*a^4*b^6*x^7 + 205920*A*a^3*b^7*x^7 + 378378*B*a^5*b^5*x^6 + 315315*A*a^4*b^6*x^6 + 280280*B*a^6*b^4*x^5 + 336336*A*a^5*b^5*x^5 + 144144*B*a^7*b^3*x^4 + 252252*A*a^6*b^4*x^4 + 49140*B*a^8*b^2*x^3 + 131040*A*a^7*b^3*x^3 + 10010*B*a^9*b*x^2 + 45045*A*a^8*b^2*x^2 + 924*B*a^10*x + 9240*A*a^9*b*x + 858*A*a^10)/x^14","B",0
163,1,243,0,0.969394," ","integrate((b*x+a)^10*(B*x+A)/x^16,x, algorithm=""giac"")","-\frac{15015 \, B b^{10} x^{11} + 120120 \, B a b^{9} x^{10} + 12012 \, A b^{10} x^{10} + 450450 \, B a^{2} b^{8} x^{9} + 100100 \, A a b^{9} x^{9} + 1029600 \, B a^{3} b^{7} x^{8} + 386100 \, A a^{2} b^{8} x^{8} + 1576575 \, B a^{4} b^{6} x^{7} + 900900 \, A a^{3} b^{7} x^{7} + 1681680 \, B a^{5} b^{5} x^{6} + 1401400 \, A a^{4} b^{6} x^{6} + 1261260 \, B a^{6} b^{4} x^{5} + 1513512 \, A a^{5} b^{5} x^{5} + 655200 \, B a^{7} b^{3} x^{4} + 1146600 \, A a^{6} b^{4} x^{4} + 225225 \, B a^{8} b^{2} x^{3} + 600600 \, A a^{7} b^{3} x^{3} + 46200 \, B a^{9} b x^{2} + 207900 \, A a^{8} b^{2} x^{2} + 4290 \, B a^{10} x + 42900 \, A a^{9} b x + 4004 \, A a^{10}}{60060 \, x^{15}}"," ",0,"-1/60060*(15015*B*b^10*x^11 + 120120*B*a*b^9*x^10 + 12012*A*b^10*x^10 + 450450*B*a^2*b^8*x^9 + 100100*A*a*b^9*x^9 + 1029600*B*a^3*b^7*x^8 + 386100*A*a^2*b^8*x^8 + 1576575*B*a^4*b^6*x^7 + 900900*A*a^3*b^7*x^7 + 1681680*B*a^5*b^5*x^6 + 1401400*A*a^4*b^6*x^6 + 1261260*B*a^6*b^4*x^5 + 1513512*A*a^5*b^5*x^5 + 655200*B*a^7*b^3*x^4 + 1146600*A*a^6*b^4*x^4 + 225225*B*a^8*b^2*x^3 + 600600*A*a^7*b^3*x^3 + 46200*B*a^9*b*x^2 + 207900*A*a^8*b^2*x^2 + 4290*B*a^10*x + 42900*A*a^9*b*x + 4004*A*a^10)/x^15","B",0
164,1,243,0,0.942415," ","integrate((b*x+a)^10*(B*x+A)/x^17,x, algorithm=""giac"")","-\frac{48048 \, B b^{10} x^{11} + 400400 \, B a b^{9} x^{10} + 40040 \, A b^{10} x^{10} + 1544400 \, B a^{2} b^{8} x^{9} + 343200 \, A a b^{9} x^{9} + 3603600 \, B a^{3} b^{7} x^{8} + 1351350 \, A a^{2} b^{8} x^{8} + 5605600 \, B a^{4} b^{6} x^{7} + 3203200 \, A a^{3} b^{7} x^{7} + 6054048 \, B a^{5} b^{5} x^{6} + 5045040 \, A a^{4} b^{6} x^{6} + 4586400 \, B a^{6} b^{4} x^{5} + 5503680 \, A a^{5} b^{5} x^{5} + 2402400 \, B a^{7} b^{3} x^{4} + 4204200 \, A a^{6} b^{4} x^{4} + 831600 \, B a^{8} b^{2} x^{3} + 2217600 \, A a^{7} b^{3} x^{3} + 171600 \, B a^{9} b x^{2} + 772200 \, A a^{8} b^{2} x^{2} + 16016 \, B a^{10} x + 160160 \, A a^{9} b x + 15015 \, A a^{10}}{240240 \, x^{16}}"," ",0,"-1/240240*(48048*B*b^10*x^11 + 400400*B*a*b^9*x^10 + 40040*A*b^10*x^10 + 1544400*B*a^2*b^8*x^9 + 343200*A*a*b^9*x^9 + 3603600*B*a^3*b^7*x^8 + 1351350*A*a^2*b^8*x^8 + 5605600*B*a^4*b^6*x^7 + 3203200*A*a^3*b^7*x^7 + 6054048*B*a^5*b^5*x^6 + 5045040*A*a^4*b^6*x^6 + 4586400*B*a^6*b^4*x^5 + 5503680*A*a^5*b^5*x^5 + 2402400*B*a^7*b^3*x^4 + 4204200*A*a^6*b^4*x^4 + 831600*B*a^8*b^2*x^3 + 2217600*A*a^7*b^3*x^3 + 171600*B*a^9*b*x^2 + 772200*A*a^8*b^2*x^2 + 16016*B*a^10*x + 160160*A*a^9*b*x + 15015*A*a^10)/x^16","A",0
165,1,243,0,1.086209," ","integrate((b*x+a)^10*(B*x+A)/x^18,x, algorithm=""giac"")","-\frac{136136 \, B b^{10} x^{11} + 1166880 \, B a b^{9} x^{10} + 116688 \, A b^{10} x^{10} + 4594590 \, B a^{2} b^{8} x^{9} + 1021020 \, A a b^{9} x^{9} + 10890880 \, B a^{3} b^{7} x^{8} + 4084080 \, A a^{2} b^{8} x^{8} + 17153136 \, B a^{4} b^{6} x^{7} + 9801792 \, A a^{3} b^{7} x^{7} + 18712512 \, B a^{5} b^{5} x^{6} + 15593760 \, A a^{4} b^{6} x^{6} + 14294280 \, B a^{6} b^{4} x^{5} + 17153136 \, A a^{5} b^{5} x^{5} + 7539840 \, B a^{7} b^{3} x^{4} + 13194720 \, A a^{6} b^{4} x^{4} + 2625480 \, B a^{8} b^{2} x^{3} + 7001280 \, A a^{7} b^{3} x^{3} + 544544 \, B a^{9} b x^{2} + 2450448 \, A a^{8} b^{2} x^{2} + 51051 \, B a^{10} x + 510510 \, A a^{9} b x + 48048 \, A a^{10}}{816816 \, x^{17}}"," ",0,"-1/816816*(136136*B*b^10*x^11 + 1166880*B*a*b^9*x^10 + 116688*A*b^10*x^10 + 4594590*B*a^2*b^8*x^9 + 1021020*A*a*b^9*x^9 + 10890880*B*a^3*b^7*x^8 + 4084080*A*a^2*b^8*x^8 + 17153136*B*a^4*b^6*x^7 + 9801792*A*a^3*b^7*x^7 + 18712512*B*a^5*b^5*x^6 + 15593760*A*a^4*b^6*x^6 + 14294280*B*a^6*b^4*x^5 + 17153136*A*a^5*b^5*x^5 + 7539840*B*a^7*b^3*x^4 + 13194720*A*a^6*b^4*x^4 + 2625480*B*a^8*b^2*x^3 + 7001280*A*a^7*b^3*x^3 + 544544*B*a^9*b*x^2 + 2450448*A*a^8*b^2*x^2 + 51051*B*a^10*x + 510510*A*a^9*b*x + 48048*A*a^10)/x^17","A",0
166,1,243,0,0.919907," ","integrate((b*x+a)^10*(B*x+A)/x^19,x, algorithm=""giac"")","-\frac{350064 \, B b^{10} x^{11} + 3063060 \, B a b^{9} x^{10} + 306306 \, A b^{10} x^{10} + 12252240 \, B a^{2} b^{8} x^{9} + 2722720 \, A a b^{9} x^{9} + 29405376 \, B a^{3} b^{7} x^{8} + 11027016 \, A a^{2} b^{8} x^{8} + 46781280 \, B a^{4} b^{6} x^{7} + 26732160 \, A a^{3} b^{7} x^{7} + 51459408 \, B a^{5} b^{5} x^{6} + 42882840 \, A a^{4} b^{6} x^{6} + 39584160 \, B a^{6} b^{4} x^{5} + 47500992 \, A a^{5} b^{5} x^{5} + 21003840 \, B a^{7} b^{3} x^{4} + 36756720 \, A a^{6} b^{4} x^{4} + 7351344 \, B a^{8} b^{2} x^{3} + 19603584 \, A a^{7} b^{3} x^{3} + 1531530 \, B a^{9} b x^{2} + 6891885 \, A a^{8} b^{2} x^{2} + 144144 \, B a^{10} x + 1441440 \, A a^{9} b x + 136136 \, A a^{10}}{2450448 \, x^{18}}"," ",0,"-1/2450448*(350064*B*b^10*x^11 + 3063060*B*a*b^9*x^10 + 306306*A*b^10*x^10 + 12252240*B*a^2*b^8*x^9 + 2722720*A*a*b^9*x^9 + 29405376*B*a^3*b^7*x^8 + 11027016*A*a^2*b^8*x^8 + 46781280*B*a^4*b^6*x^7 + 26732160*A*a^3*b^7*x^7 + 51459408*B*a^5*b^5*x^6 + 42882840*A*a^4*b^6*x^6 + 39584160*B*a^6*b^4*x^5 + 47500992*A*a^5*b^5*x^5 + 21003840*B*a^7*b^3*x^4 + 36756720*A*a^6*b^4*x^4 + 7351344*B*a^8*b^2*x^3 + 19603584*A*a^7*b^3*x^3 + 1531530*B*a^9*b*x^2 + 6891885*A*a^8*b^2*x^2 + 144144*B*a^10*x + 1441440*A*a^9*b*x + 136136*A*a^10)/x^18","A",0
167,1,243,0,0.962576," ","integrate((b*x+a)^10*(B*x+A)/x^20,x, algorithm=""giac"")","-\frac{831402 \, B b^{10} x^{11} + 7390240 \, B a b^{9} x^{10} + 739024 \, A b^{10} x^{10} + 29930472 \, B a^{2} b^{8} x^{9} + 6651216 \, A a b^{9} x^{9} + 72558720 \, B a^{3} b^{7} x^{8} + 27209520 \, A a^{2} b^{8} x^{8} + 116396280 \, B a^{4} b^{6} x^{7} + 66512160 \, A a^{3} b^{7} x^{7} + 128931264 \, B a^{5} b^{5} x^{6} + 107442720 \, A a^{4} b^{6} x^{6} + 99768240 \, B a^{6} b^{4} x^{5} + 119721888 \, A a^{5} b^{5} x^{5} + 53209728 \, B a^{7} b^{3} x^{4} + 93117024 \, A a^{6} b^{4} x^{4} + 18706545 \, B a^{8} b^{2} x^{3} + 49884120 \, A a^{7} b^{3} x^{3} + 3912480 \, B a^{9} b x^{2} + 17606160 \, A a^{8} b^{2} x^{2} + 369512 \, B a^{10} x + 3695120 \, A a^{9} b x + 350064 \, A a^{10}}{6651216 \, x^{19}}"," ",0,"-1/6651216*(831402*B*b^10*x^11 + 7390240*B*a*b^9*x^10 + 739024*A*b^10*x^10 + 29930472*B*a^2*b^8*x^9 + 6651216*A*a*b^9*x^9 + 72558720*B*a^3*b^7*x^8 + 27209520*A*a^2*b^8*x^8 + 116396280*B*a^4*b^6*x^7 + 66512160*A*a^3*b^7*x^7 + 128931264*B*a^5*b^5*x^6 + 107442720*A*a^4*b^6*x^6 + 99768240*B*a^6*b^4*x^5 + 119721888*A*a^5*b^5*x^5 + 53209728*B*a^7*b^3*x^4 + 93117024*A*a^6*b^4*x^4 + 18706545*B*a^8*b^2*x^3 + 49884120*A*a^7*b^3*x^3 + 3912480*B*a^9*b*x^2 + 17606160*A*a^8*b^2*x^2 + 369512*B*a^10*x + 3695120*A*a^9*b*x + 350064*A*a^10)/x^19","A",0
168,1,243,0,0.963956," ","integrate((b*x+a)^10*(B*x+A)/x^21,x, algorithm=""giac"")","-\frac{1847560 \, B b^{10} x^{11} + 16628040 \, B a b^{9} x^{10} + 1662804 \, A b^{10} x^{10} + 68023800 \, B a^{2} b^{8} x^{9} + 15116400 \, A a b^{9} x^{9} + 166280400 \, B a^{3} b^{7} x^{8} + 62355150 \, A a^{2} b^{8} x^{8} + 268606800 \, B a^{4} b^{6} x^{7} + 153489600 \, A a^{3} b^{7} x^{7} + 299304720 \, B a^{5} b^{5} x^{6} + 249420600 \, A a^{4} b^{6} x^{6} + 232792560 \, B a^{6} b^{4} x^{5} + 279351072 \, A a^{5} b^{5} x^{5} + 124710300 \, B a^{7} b^{3} x^{4} + 218243025 \, A a^{6} b^{4} x^{4} + 44015400 \, B a^{8} b^{2} x^{3} + 117374400 \, A a^{7} b^{3} x^{3} + 9237800 \, B a^{9} b x^{2} + 41570100 \, A a^{8} b^{2} x^{2} + 875160 \, B a^{10} x + 8751600 \, A a^{9} b x + 831402 \, A a^{10}}{16628040 \, x^{20}}"," ",0,"-1/16628040*(1847560*B*b^10*x^11 + 16628040*B*a*b^9*x^10 + 1662804*A*b^10*x^10 + 68023800*B*a^2*b^8*x^9 + 15116400*A*a*b^9*x^9 + 166280400*B*a^3*b^7*x^8 + 62355150*A*a^2*b^8*x^8 + 268606800*B*a^4*b^6*x^7 + 153489600*A*a^3*b^7*x^7 + 299304720*B*a^5*b^5*x^6 + 249420600*A*a^4*b^6*x^6 + 232792560*B*a^6*b^4*x^5 + 279351072*A*a^5*b^5*x^5 + 124710300*B*a^7*b^3*x^4 + 218243025*A*a^6*b^4*x^4 + 44015400*B*a^8*b^2*x^3 + 117374400*A*a^7*b^3*x^3 + 9237800*B*a^9*b*x^2 + 41570100*A*a^8*b^2*x^2 + 875160*B*a^10*x + 8751600*A*a^9*b*x + 831402*A*a^10)/x^20","A",0
169,1,389,0,0.993050," ","integrate(x^3*(b*x+a)*(d*x+c)^16,x, algorithm=""giac"")","\frac{1}{21} \, b d^{16} x^{21} + \frac{4}{5} \, b c d^{15} x^{20} + \frac{1}{20} \, a d^{16} x^{20} + \frac{120}{19} \, b c^{2} d^{14} x^{19} + \frac{16}{19} \, a c d^{15} x^{19} + \frac{280}{9} \, b c^{3} d^{13} x^{18} + \frac{20}{3} \, a c^{2} d^{14} x^{18} + \frac{1820}{17} \, b c^{4} d^{12} x^{17} + \frac{560}{17} \, a c^{3} d^{13} x^{17} + 273 \, b c^{5} d^{11} x^{16} + \frac{455}{4} \, a c^{4} d^{12} x^{16} + \frac{8008}{15} \, b c^{6} d^{10} x^{15} + \frac{1456}{5} \, a c^{5} d^{11} x^{15} + \frac{5720}{7} \, b c^{7} d^{9} x^{14} + 572 \, a c^{6} d^{10} x^{14} + 990 \, b c^{8} d^{8} x^{13} + 880 \, a c^{7} d^{9} x^{13} + \frac{2860}{3} \, b c^{9} d^{7} x^{12} + \frac{2145}{2} \, a c^{8} d^{8} x^{12} + 728 \, b c^{10} d^{6} x^{11} + 1040 \, a c^{9} d^{7} x^{11} + \frac{2184}{5} \, b c^{11} d^{5} x^{10} + \frac{4004}{5} \, a c^{10} d^{6} x^{10} + \frac{1820}{9} \, b c^{12} d^{4} x^{9} + \frac{1456}{3} \, a c^{11} d^{5} x^{9} + 70 \, b c^{13} d^{3} x^{8} + \frac{455}{2} \, a c^{12} d^{4} x^{8} + \frac{120}{7} \, b c^{14} d^{2} x^{7} + 80 \, a c^{13} d^{3} x^{7} + \frac{8}{3} \, b c^{15} d x^{6} + 20 \, a c^{14} d^{2} x^{6} + \frac{1}{5} \, b c^{16} x^{5} + \frac{16}{5} \, a c^{15} d x^{5} + \frac{1}{4} \, a c^{16} x^{4}"," ",0,"1/21*b*d^16*x^21 + 4/5*b*c*d^15*x^20 + 1/20*a*d^16*x^20 + 120/19*b*c^2*d^14*x^19 + 16/19*a*c*d^15*x^19 + 280/9*b*c^3*d^13*x^18 + 20/3*a*c^2*d^14*x^18 + 1820/17*b*c^4*d^12*x^17 + 560/17*a*c^3*d^13*x^17 + 273*b*c^5*d^11*x^16 + 455/4*a*c^4*d^12*x^16 + 8008/15*b*c^6*d^10*x^15 + 1456/5*a*c^5*d^11*x^15 + 5720/7*b*c^7*d^9*x^14 + 572*a*c^6*d^10*x^14 + 990*b*c^8*d^8*x^13 + 880*a*c^7*d^9*x^13 + 2860/3*b*c^9*d^7*x^12 + 2145/2*a*c^8*d^8*x^12 + 728*b*c^10*d^6*x^11 + 1040*a*c^9*d^7*x^11 + 2184/5*b*c^11*d^5*x^10 + 4004/5*a*c^10*d^6*x^10 + 1820/9*b*c^12*d^4*x^9 + 1456/3*a*c^11*d^5*x^9 + 70*b*c^13*d^3*x^8 + 455/2*a*c^12*d^4*x^8 + 120/7*b*c^14*d^2*x^7 + 80*a*c^13*d^3*x^7 + 8/3*b*c^15*d*x^6 + 20*a*c^14*d^2*x^6 + 1/5*b*c^16*x^5 + 16/5*a*c^15*d*x^5 + 1/4*a*c^16*x^4","B",0
170,1,389,0,0.931562," ","integrate(x^2*(b*x+a)*(d*x+c)^16,x, algorithm=""giac"")","\frac{1}{20} \, b d^{16} x^{20} + \frac{16}{19} \, b c d^{15} x^{19} + \frac{1}{19} \, a d^{16} x^{19} + \frac{20}{3} \, b c^{2} d^{14} x^{18} + \frac{8}{9} \, a c d^{15} x^{18} + \frac{560}{17} \, b c^{3} d^{13} x^{17} + \frac{120}{17} \, a c^{2} d^{14} x^{17} + \frac{455}{4} \, b c^{4} d^{12} x^{16} + 35 \, a c^{3} d^{13} x^{16} + \frac{1456}{5} \, b c^{5} d^{11} x^{15} + \frac{364}{3} \, a c^{4} d^{12} x^{15} + 572 \, b c^{6} d^{10} x^{14} + 312 \, a c^{5} d^{11} x^{14} + 880 \, b c^{7} d^{9} x^{13} + 616 \, a c^{6} d^{10} x^{13} + \frac{2145}{2} \, b c^{8} d^{8} x^{12} + \frac{2860}{3} \, a c^{7} d^{9} x^{12} + 1040 \, b c^{9} d^{7} x^{11} + 1170 \, a c^{8} d^{8} x^{11} + \frac{4004}{5} \, b c^{10} d^{6} x^{10} + 1144 \, a c^{9} d^{7} x^{10} + \frac{1456}{3} \, b c^{11} d^{5} x^{9} + \frac{8008}{9} \, a c^{10} d^{6} x^{9} + \frac{455}{2} \, b c^{12} d^{4} x^{8} + 546 \, a c^{11} d^{5} x^{8} + 80 \, b c^{13} d^{3} x^{7} + 260 \, a c^{12} d^{4} x^{7} + 20 \, b c^{14} d^{2} x^{6} + \frac{280}{3} \, a c^{13} d^{3} x^{6} + \frac{16}{5} \, b c^{15} d x^{5} + 24 \, a c^{14} d^{2} x^{5} + \frac{1}{4} \, b c^{16} x^{4} + 4 \, a c^{15} d x^{4} + \frac{1}{3} \, a c^{16} x^{3}"," ",0,"1/20*b*d^16*x^20 + 16/19*b*c*d^15*x^19 + 1/19*a*d^16*x^19 + 20/3*b*c^2*d^14*x^18 + 8/9*a*c*d^15*x^18 + 560/17*b*c^3*d^13*x^17 + 120/17*a*c^2*d^14*x^17 + 455/4*b*c^4*d^12*x^16 + 35*a*c^3*d^13*x^16 + 1456/5*b*c^5*d^11*x^15 + 364/3*a*c^4*d^12*x^15 + 572*b*c^6*d^10*x^14 + 312*a*c^5*d^11*x^14 + 880*b*c^7*d^9*x^13 + 616*a*c^6*d^10*x^13 + 2145/2*b*c^8*d^8*x^12 + 2860/3*a*c^7*d^9*x^12 + 1040*b*c^9*d^7*x^11 + 1170*a*c^8*d^8*x^11 + 4004/5*b*c^10*d^6*x^10 + 1144*a*c^9*d^7*x^10 + 1456/3*b*c^11*d^5*x^9 + 8008/9*a*c^10*d^6*x^9 + 455/2*b*c^12*d^4*x^8 + 546*a*c^11*d^5*x^8 + 80*b*c^13*d^3*x^7 + 260*a*c^12*d^4*x^7 + 20*b*c^14*d^2*x^6 + 280/3*a*c^13*d^3*x^6 + 16/5*b*c^15*d*x^5 + 24*a*c^14*d^2*x^5 + 1/4*b*c^16*x^4 + 4*a*c^15*d*x^4 + 1/3*a*c^16*x^3","B",0
171,1,389,0,0.906641," ","integrate(x*(b*x+a)*(d*x+c)^16,x, algorithm=""giac"")","\frac{1}{19} \, b d^{16} x^{19} + \frac{8}{9} \, b c d^{15} x^{18} + \frac{1}{18} \, a d^{16} x^{18} + \frac{120}{17} \, b c^{2} d^{14} x^{17} + \frac{16}{17} \, a c d^{15} x^{17} + 35 \, b c^{3} d^{13} x^{16} + \frac{15}{2} \, a c^{2} d^{14} x^{16} + \frac{364}{3} \, b c^{4} d^{12} x^{15} + \frac{112}{3} \, a c^{3} d^{13} x^{15} + 312 \, b c^{5} d^{11} x^{14} + 130 \, a c^{4} d^{12} x^{14} + 616 \, b c^{6} d^{10} x^{13} + 336 \, a c^{5} d^{11} x^{13} + \frac{2860}{3} \, b c^{7} d^{9} x^{12} + \frac{2002}{3} \, a c^{6} d^{10} x^{12} + 1170 \, b c^{8} d^{8} x^{11} + 1040 \, a c^{7} d^{9} x^{11} + 1144 \, b c^{9} d^{7} x^{10} + 1287 \, a c^{8} d^{8} x^{10} + \frac{8008}{9} \, b c^{10} d^{6} x^{9} + \frac{11440}{9} \, a c^{9} d^{7} x^{9} + 546 \, b c^{11} d^{5} x^{8} + 1001 \, a c^{10} d^{6} x^{8} + 260 \, b c^{12} d^{4} x^{7} + 624 \, a c^{11} d^{5} x^{7} + \frac{280}{3} \, b c^{13} d^{3} x^{6} + \frac{910}{3} \, a c^{12} d^{4} x^{6} + 24 \, b c^{14} d^{2} x^{5} + 112 \, a c^{13} d^{3} x^{5} + 4 \, b c^{15} d x^{4} + 30 \, a c^{14} d^{2} x^{4} + \frac{1}{3} \, b c^{16} x^{3} + \frac{16}{3} \, a c^{15} d x^{3} + \frac{1}{2} \, a c^{16} x^{2}"," ",0,"1/19*b*d^16*x^19 + 8/9*b*c*d^15*x^18 + 1/18*a*d^16*x^18 + 120/17*b*c^2*d^14*x^17 + 16/17*a*c*d^15*x^17 + 35*b*c^3*d^13*x^16 + 15/2*a*c^2*d^14*x^16 + 364/3*b*c^4*d^12*x^15 + 112/3*a*c^3*d^13*x^15 + 312*b*c^5*d^11*x^14 + 130*a*c^4*d^12*x^14 + 616*b*c^6*d^10*x^13 + 336*a*c^5*d^11*x^13 + 2860/3*b*c^7*d^9*x^12 + 2002/3*a*c^6*d^10*x^12 + 1170*b*c^8*d^8*x^11 + 1040*a*c^7*d^9*x^11 + 1144*b*c^9*d^7*x^10 + 1287*a*c^8*d^8*x^10 + 8008/9*b*c^10*d^6*x^9 + 11440/9*a*c^9*d^7*x^9 + 546*b*c^11*d^5*x^8 + 1001*a*c^10*d^6*x^8 + 260*b*c^12*d^4*x^7 + 624*a*c^11*d^5*x^7 + 280/3*b*c^13*d^3*x^6 + 910/3*a*c^12*d^4*x^6 + 24*b*c^14*d^2*x^5 + 112*a*c^13*d^3*x^5 + 4*b*c^15*d*x^4 + 30*a*c^14*d^2*x^4 + 1/3*b*c^16*x^3 + 16/3*a*c^15*d*x^3 + 1/2*a*c^16*x^2","B",0
172,1,385,0,1.068917," ","integrate((b*x+a)*(d*x+c)^16,x, algorithm=""giac"")","\frac{1}{18} \, b d^{16} x^{18} + \frac{16}{17} \, b c d^{15} x^{17} + \frac{1}{17} \, a d^{16} x^{17} + \frac{15}{2} \, b c^{2} d^{14} x^{16} + a c d^{15} x^{16} + \frac{112}{3} \, b c^{3} d^{13} x^{15} + 8 \, a c^{2} d^{14} x^{15} + 130 \, b c^{4} d^{12} x^{14} + 40 \, a c^{3} d^{13} x^{14} + 336 \, b c^{5} d^{11} x^{13} + 140 \, a c^{4} d^{12} x^{13} + \frac{2002}{3} \, b c^{6} d^{10} x^{12} + 364 \, a c^{5} d^{11} x^{12} + 1040 \, b c^{7} d^{9} x^{11} + 728 \, a c^{6} d^{10} x^{11} + 1287 \, b c^{8} d^{8} x^{10} + 1144 \, a c^{7} d^{9} x^{10} + \frac{11440}{9} \, b c^{9} d^{7} x^{9} + 1430 \, a c^{8} d^{8} x^{9} + 1001 \, b c^{10} d^{6} x^{8} + 1430 \, a c^{9} d^{7} x^{8} + 624 \, b c^{11} d^{5} x^{7} + 1144 \, a c^{10} d^{6} x^{7} + \frac{910}{3} \, b c^{12} d^{4} x^{6} + 728 \, a c^{11} d^{5} x^{6} + 112 \, b c^{13} d^{3} x^{5} + 364 \, a c^{12} d^{4} x^{5} + 30 \, b c^{14} d^{2} x^{4} + 140 \, a c^{13} d^{3} x^{4} + \frac{16}{3} \, b c^{15} d x^{3} + 40 \, a c^{14} d^{2} x^{3} + \frac{1}{2} \, b c^{16} x^{2} + 8 \, a c^{15} d x^{2} + a c^{16} x"," ",0,"1/18*b*d^16*x^18 + 16/17*b*c*d^15*x^17 + 1/17*a*d^16*x^17 + 15/2*b*c^2*d^14*x^16 + a*c*d^15*x^16 + 112/3*b*c^3*d^13*x^15 + 8*a*c^2*d^14*x^15 + 130*b*c^4*d^12*x^14 + 40*a*c^3*d^13*x^14 + 336*b*c^5*d^11*x^13 + 140*a*c^4*d^12*x^13 + 2002/3*b*c^6*d^10*x^12 + 364*a*c^5*d^11*x^12 + 1040*b*c^7*d^9*x^11 + 728*a*c^6*d^10*x^11 + 1287*b*c^8*d^8*x^10 + 1144*a*c^7*d^9*x^10 + 11440/9*b*c^9*d^7*x^9 + 1430*a*c^8*d^8*x^9 + 1001*b*c^10*d^6*x^8 + 1430*a*c^9*d^7*x^8 + 624*b*c^11*d^5*x^7 + 1144*a*c^10*d^6*x^7 + 910/3*b*c^12*d^4*x^6 + 728*a*c^11*d^5*x^6 + 112*b*c^13*d^3*x^5 + 364*a*c^12*d^4*x^5 + 30*b*c^14*d^2*x^4 + 140*a*c^13*d^3*x^4 + 16/3*b*c^15*d*x^3 + 40*a*c^14*d^2*x^3 + 1/2*b*c^16*x^2 + 8*a*c^15*d*x^2 + a*c^16*x","B",0
173,1,36,0,1.041603," ","integrate(x^2*(2+x)^5*(2+3*x),x, algorithm=""giac"")","\frac{1}{3} \, x^{9} + 4 \, x^{8} + 20 \, x^{7} + \frac{160}{3} \, x^{6} + 80 \, x^{5} + 64 \, x^{4} + \frac{64}{3} \, x^{3}"," ",0,"1/3*x^9 + 4*x^8 + 20*x^7 + 160/3*x^6 + 80*x^5 + 64*x^4 + 64/3*x^3","B",0
174,1,119,0,0.894332," ","integrate(x^4*(B*x+A)/(b*x+a),x, algorithm=""giac"")","\frac{12 \, B b^{4} x^{5} - 15 \, B a b^{3} x^{4} + 15 \, A b^{4} x^{4} + 20 \, B a^{2} b^{2} x^{3} - 20 \, A a b^{3} x^{3} - 30 \, B a^{3} b x^{2} + 30 \, A a^{2} b^{2} x^{2} + 60 \, B a^{4} x - 60 \, A a^{3} b x}{60 \, b^{5}} - \frac{{\left(B a^{5} - A a^{4} b\right)} \log\left({\left| b x + a \right|}\right)}{b^{6}}"," ",0,"1/60*(12*B*b^4*x^5 - 15*B*a*b^3*x^4 + 15*A*b^4*x^4 + 20*B*a^2*b^2*x^3 - 20*A*a*b^3*x^3 - 30*B*a^3*b*x^2 + 30*A*a^2*b^2*x^2 + 60*B*a^4*x - 60*A*a^3*b*x)/b^5 - (B*a^5 - A*a^4*b)*log(abs(b*x + a))/b^6","A",0
175,1,94,0,0.878903," ","integrate(x^3*(B*x+A)/(b*x+a),x, algorithm=""giac"")","\frac{3 \, B b^{3} x^{4} - 4 \, B a b^{2} x^{3} + 4 \, A b^{3} x^{3} + 6 \, B a^{2} b x^{2} - 6 \, A a b^{2} x^{2} - 12 \, B a^{3} x + 12 \, A a^{2} b x}{12 \, b^{4}} + \frac{{\left(B a^{4} - A a^{3} b\right)} \log\left({\left| b x + a \right|}\right)}{b^{5}}"," ",0,"1/12*(3*B*b^3*x^4 - 4*B*a*b^2*x^3 + 4*A*b^3*x^3 + 6*B*a^2*b*x^2 - 6*A*a*b^2*x^2 - 12*B*a^3*x + 12*A*a^2*b*x)/b^4 + (B*a^4 - A*a^3*b)*log(abs(b*x + a))/b^5","A",0
176,1,71,0,0.955042," ","integrate(x^2*(B*x+A)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, B b^{2} x^{3} - 3 \, B a b x^{2} + 3 \, A b^{2} x^{2} + 6 \, B a^{2} x - 6 \, A a b x}{6 \, b^{3}} - \frac{{\left(B a^{3} - A a^{2} b\right)} \log\left({\left| b x + a \right|}\right)}{b^{4}}"," ",0,"1/6*(2*B*b^2*x^3 - 3*B*a*b*x^2 + 3*A*b^2*x^2 + 6*B*a^2*x - 6*A*a*b*x)/b^3 - (B*a^3 - A*a^2*b)*log(abs(b*x + a))/b^4","A",0
177,1,45,0,0.912981," ","integrate(x*(B*x+A)/(b*x+a),x, algorithm=""giac"")","\frac{B b x^{2} - 2 \, B a x + 2 \, A b x}{2 \, b^{2}} + \frac{{\left(B a^{2} - A a b\right)} \log\left({\left| b x + a \right|}\right)}{b^{3}}"," ",0,"1/2*(B*b*x^2 - 2*B*a*x + 2*A*b*x)/b^2 + (B*a^2 - A*a*b)*log(abs(b*x + a))/b^3","A",0
178,1,27,0,1.045706," ","integrate((B*x+A)/(b*x+a),x, algorithm=""giac"")","\frac{B x}{b} - \frac{{\left(B a - A b\right)} \log\left({\left| b x + a \right|}\right)}{b^{2}}"," ",0,"B*x/b - (B*a - A*b)*log(abs(b*x + a))/b^2","A",0
179,1,31,0,1.094940," ","integrate((B*x+A)/x/(b*x+a),x, algorithm=""giac"")","\frac{A \log\left({\left| x \right|}\right)}{a} + \frac{{\left(B a - A b\right)} \log\left({\left| b x + a \right|}\right)}{a b}"," ",0,"A*log(abs(x))/a + (B*a - A*b)*log(abs(b*x + a))/(a*b)","A",0
180,1,51,0,0.945119," ","integrate((B*x+A)/x^2/(b*x+a),x, algorithm=""giac"")","\frac{{\left(B a - A b\right)} \log\left({\left| x \right|}\right)}{a^{2}} - \frac{A}{a x} - \frac{{\left(B a b - A b^{2}\right)} \log\left({\left| b x + a \right|}\right)}{a^{2} b}"," ",0,"(B*a - A*b)*log(abs(x))/a^2 - A/(a*x) - (B*a*b - A*b^2)*log(abs(b*x + a))/(a^2*b)","A",0
181,1,75,0,0.903544," ","integrate((B*x+A)/x^3/(b*x+a),x, algorithm=""giac"")","-\frac{{\left(B a b - A b^{2}\right)} \log\left({\left| x \right|}\right)}{a^{3}} + \frac{{\left(B a b^{2} - A b^{3}\right)} \log\left({\left| b x + a \right|}\right)}{a^{3} b} - \frac{A a^{2} + 2 \, {\left(B a^{2} - A a b\right)} x}{2 \, a^{3} x^{2}}"," ",0,"-(B*a*b - A*b^2)*log(abs(x))/a^3 + (B*a*b^2 - A*b^3)*log(abs(b*x + a))/(a^3*b) - 1/2*(A*a^2 + 2*(B*a^2 - A*a*b)*x)/(a^3*x^2)","A",0
182,1,99,0,0.945302," ","integrate((B*x+A)/x^4/(b*x+a),x, algorithm=""giac"")","\frac{{\left(B a b^{2} - A b^{3}\right)} \log\left({\left| x \right|}\right)}{a^{4}} - \frac{{\left(B a b^{3} - A b^{4}\right)} \log\left({\left| b x + a \right|}\right)}{a^{4} b} - \frac{2 \, A a^{3} - 6 \, {\left(B a^{2} b - A a b^{2}\right)} x^{2} + 3 \, {\left(B a^{3} - A a^{2} b\right)} x}{6 \, a^{4} x^{3}}"," ",0,"(B*a*b^2 - A*b^3)*log(abs(x))/a^4 - (B*a*b^3 - A*b^4)*log(abs(b*x + a))/(a^4*b) - 1/6*(2*A*a^3 - 6*(B*a^2*b - A*a*b^2)*x^2 + 3*(B*a^3 - A*a^2*b)*x)/(a^4*x^3)","A",0
183,1,122,0,1.123184," ","integrate((B*x+A)/x^5/(b*x+a),x, algorithm=""giac"")","-\frac{{\left(B a b^{3} - A b^{4}\right)} \log\left({\left| x \right|}\right)}{a^{5}} + \frac{{\left(B a b^{4} - A b^{5}\right)} \log\left({\left| b x + a \right|}\right)}{a^{5} b} - \frac{3 \, A a^{4} + 12 \, {\left(B a^{2} b^{2} - A a b^{3}\right)} x^{3} - 6 \, {\left(B a^{3} b - A a^{2} b^{2}\right)} x^{2} + 4 \, {\left(B a^{4} - A a^{3} b\right)} x}{12 \, a^{5} x^{4}}"," ",0,"-(B*a*b^3 - A*b^4)*log(abs(x))/a^5 + (B*a*b^4 - A*b^5)*log(abs(b*x + a))/(a^5*b) - 1/12*(3*A*a^4 + 12*(B*a^2*b^2 - A*a*b^3)*x^3 - 6*(B*a^3*b - A*a^2*b^2)*x^2 + 4*(B*a^4 - A*a^3*b)*x)/(a^5*x^4)","A",0
184,1,175,0,0.946021," ","integrate(x^4*(B*x+A)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{4} {\left(3 \, B - \frac{4 \, {\left(5 \, B a b - A b^{2}\right)}}{{\left(b x + a\right)} b} + \frac{12 \, {\left(5 \, B a^{2} b^{2} - 2 \, A a b^{3}\right)}}{{\left(b x + a\right)}^{2} b^{2}} - \frac{24 \, {\left(5 \, B a^{3} b^{3} - 3 \, A a^{2} b^{4}\right)}}{{\left(b x + a\right)}^{3} b^{3}}\right)}}{12 \, b^{6}} - \frac{{\left(5 \, B a^{4} - 4 \, A a^{3} b\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{6}} + \frac{\frac{B a^{5} b^{4}}{b x + a} - \frac{A a^{4} b^{5}}{b x + a}}{b^{10}}"," ",0,"1/12*(b*x + a)^4*(3*B - 4*(5*B*a*b - A*b^2)/((b*x + a)*b) + 12*(5*B*a^2*b^2 - 2*A*a*b^3)/((b*x + a)^2*b^2) - 24*(5*B*a^3*b^3 - 3*A*a^2*b^4)/((b*x + a)^3*b^3))/b^6 - (5*B*a^4 - 4*A*a^3*b)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^6 + (B*a^5*b^4/(b*x + a) - A*a^4*b^5/(b*x + a))/b^10","A",0
185,1,144,0,1.024000," ","integrate(x^3*(B*x+A)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{3} {\left(2 \, B - \frac{3 \, {\left(4 \, B a b - A b^{2}\right)}}{{\left(b x + a\right)} b} + \frac{18 \, {\left(2 \, B a^{2} b^{2} - A a b^{3}\right)}}{{\left(b x + a\right)}^{2} b^{2}}\right)}}{6 \, b^{5}} + \frac{{\left(4 \, B a^{3} - 3 \, A a^{2} b\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{5}} - \frac{\frac{B a^{4} b^{3}}{b x + a} - \frac{A a^{3} b^{4}}{b x + a}}{b^{8}}"," ",0,"1/6*(b*x + a)^3*(2*B - 3*(4*B*a*b - A*b^2)/((b*x + a)*b) + 18*(2*B*a^2*b^2 - A*a*b^3)/((b*x + a)^2*b^2))/b^5 + (4*B*a^3 - 3*A*a^2*b)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^5 - (B*a^4*b^3/(b*x + a) - A*a^3*b^4/(b*x + a))/b^8","A",0
186,1,111,0,1.032375," ","integrate(x^2*(B*x+A)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{2} {\left(B - \frac{2 \, {\left(3 \, B a b - A b^{2}\right)}}{{\left(b x + a\right)} b}\right)}}{2 \, b^{4}} - \frac{{\left(3 \, B a^{2} - 2 \, A a b\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{4}} + \frac{\frac{B a^{3} b^{2}}{b x + a} - \frac{A a^{2} b^{3}}{b x + a}}{b^{6}}"," ",0,"1/2*(b*x + a)^2*(B - 2*(3*B*a*b - A*b^2)/((b*x + a)*b))/b^4 - (3*B*a^2 - 2*A*a*b)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^4 + (B*a^3*b^2/(b*x + a) - A*a^2*b^3/(b*x + a))/b^6","A",0
187,1,80,0,0.961957," ","integrate(x*(B*x+A)/(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{{\left(b x + a\right)} B}{b^{2}} + \frac{{\left(2 \, B a - A b\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{2}} - \frac{\frac{B a^{2} b}{b x + a} - \frac{A a b^{2}}{b x + a}}{b^{3}}}{b}"," ",0,"((b*x + a)*B/b^2 + (2*B*a - A*b)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^2 - (B*a^2*b/(b*x + a) - A*a*b^2/(b*x + a))/b^3)/b","A",0
188,1,57,0,0.984790," ","integrate((B*x+A)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{B {\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{A}{{\left(b x + a\right)} b}"," ",0,"-B*(log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b - a/((b*x + a)*b))/b - A/((b*x + a)*b)","A",0
189,1,55,0,0.928563," ","integrate((B*x+A)/x/(b*x+a)^2,x, algorithm=""giac"")","b {\left(\frac{A \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{2} b} - \frac{\frac{B a}{b x + a} - \frac{A b}{b x + a}}{a b^{2}}\right)}"," ",0,"b*(A*log(abs(-a/(b*x + a) + 1))/(a^2*b) - (B*a/(b*x + a) - A*b/(b*x + a))/(a*b^2))","A",0
190,1,86,0,1.024406," ","integrate((B*x+A)/x^2/(b*x+a)^2,x, algorithm=""giac"")","\frac{A b}{a^{3} {\left(\frac{a}{b x + a} - 1\right)}} + \frac{{\left(B a b - 2 \, A b^{2}\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{3} b} + \frac{\frac{B a b^{2}}{b x + a} - \frac{A b^{3}}{b x + a}}{a^{2} b^{2}}"," ",0,"A*b/(a^3*(a/(b*x + a) - 1)) + (B*a*b - 2*A*b^2)*log(abs(-a/(b*x + a) + 1))/(a^3*b) + (B*a*b^2/(b*x + a) - A*b^3/(b*x + a))/(a^2*b^2)","A",0
191,1,130,0,0.978120," ","integrate((B*x+A)/x^3/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(2 \, B a b^{2} - 3 \, A b^{3}\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{4} b} - \frac{\frac{B a b^{4}}{b x + a} - \frac{A b^{5}}{b x + a}}{a^{3} b^{3}} - \frac{2 \, B a b - 5 \, A b^{2} - \frac{2 \, {\left(B a^{2} b^{2} - 3 \, A a b^{3}\right)}}{{\left(b x + a\right)} b}}{2 \, a^{4} {\left(\frac{a}{b x + a} - 1\right)}^{2}}"," ",0,"-(2*B*a*b^2 - 3*A*b^3)*log(abs(-a/(b*x + a) + 1))/(a^4*b) - (B*a*b^4/(b*x + a) - A*b^5/(b*x + a))/(a^3*b^3) - 1/2*(2*B*a*b - 5*A*b^2 - 2*(B*a^2*b^2 - 3*A*a*b^3)/((b*x + a)*b))/(a^4*(a/(b*x + a) - 1)^2)","A",0
192,1,161,0,0.982888," ","integrate((B*x+A)/x^4/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(3 \, B a b^{3} - 4 \, A b^{4}\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{5} b} + \frac{\frac{B a b^{6}}{b x + a} - \frac{A b^{7}}{b x + a}}{a^{4} b^{4}} - \frac{15 \, B a b^{2} - 26 \, A b^{3} - \frac{3 \, {\left(11 \, B a^{2} b^{3} - 20 \, A a b^{4}\right)}}{{\left(b x + a\right)} b} + \frac{18 \, {\left(B a^{3} b^{4} - 2 \, A a^{2} b^{5}\right)}}{{\left(b x + a\right)}^{2} b^{2}}}{6 \, a^{5} {\left(\frac{a}{b x + a} - 1\right)}^{3}}"," ",0,"(3*B*a*b^3 - 4*A*b^4)*log(abs(-a/(b*x + a) + 1))/(a^5*b) + (B*a*b^6/(b*x + a) - A*b^7/(b*x + a))/(a^4*b^4) - 1/6*(15*B*a*b^2 - 26*A*b^3 - 3*(11*B*a^2*b^3 - 20*A*a*b^4)/((b*x + a)*b) + 18*(B*a^3*b^4 - 2*A*a^2*b^5)/((b*x + a)^2*b^2))/(a^5*(a/(b*x + a) - 1)^3)","A",0
193,1,125,0,0.862819," ","integrate(x^4*(B*x+A)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, {\left(5 \, B a^{3} - 3 \, A a^{2} b\right)} \log\left({\left| b x + a \right|}\right)}{b^{6}} - \frac{9 \, B a^{5} - 7 \, A a^{4} b + 2 \, {\left(5 \, B a^{4} b - 4 \, A a^{3} b^{2}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{6}} + \frac{2 \, B b^{6} x^{3} - 9 \, B a b^{5} x^{2} + 3 \, A b^{6} x^{2} + 36 \, B a^{2} b^{4} x - 18 \, A a b^{5} x}{6 \, b^{9}}"," ",0,"-2*(5*B*a^3 - 3*A*a^2*b)*log(abs(b*x + a))/b^6 - 1/2*(9*B*a^5 - 7*A*a^4*b + 2*(5*B*a^4*b - 4*A*a^3*b^2)*x)/((b*x + a)^2*b^6) + 1/6*(2*B*b^6*x^3 - 9*B*a*b^5*x^2 + 3*A*b^6*x^2 + 36*B*a^2*b^4*x - 18*A*a*b^5*x)/b^9","A",0
194,1,100,0,0.997034," ","integrate(x^3*(B*x+A)/(b*x+a)^3,x, algorithm=""giac"")","\frac{3 \, {\left(2 \, B a^{2} - A a b\right)} \log\left({\left| b x + a \right|}\right)}{b^{5}} + \frac{B b^{3} x^{2} - 6 \, B a b^{2} x + 2 \, A b^{3} x}{2 \, b^{6}} + \frac{7 \, B a^{4} - 5 \, A a^{3} b + 2 \, {\left(4 \, B a^{3} b - 3 \, A a^{2} b^{2}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{5}}"," ",0,"3*(2*B*a^2 - A*a*b)*log(abs(b*x + a))/b^5 + 1/2*(B*b^3*x^2 - 6*B*a*b^2*x + 2*A*b^3*x)/b^6 + 1/2*(7*B*a^4 - 5*A*a^3*b + 2*(4*B*a^3*b - 3*A*a^2*b^2)*x)/((b*x + a)^2*b^5)","A",0
195,1,72,0,0.839569," ","integrate(x^2*(B*x+A)/(b*x+a)^3,x, algorithm=""giac"")","\frac{B x}{b^{3}} - \frac{{\left(3 \, B a - A b\right)} \log\left({\left| b x + a \right|}\right)}{b^{4}} - \frac{5 \, B a^{3} - 3 \, A a^{2} b + 2 \, {\left(3 \, B a^{2} b - 2 \, A a b^{2}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{4}}"," ",0,"B*x/b^3 - (3*B*a - A*b)*log(abs(b*x + a))/b^4 - 1/2*(5*B*a^3 - 3*A*a^2*b + 2*(3*B*a^2*b - 2*A*a*b^2)*x)/((b*x + a)^2*b^4)","A",0
196,1,54,0,1.094614," ","integrate(x*(B*x+A)/(b*x+a)^3,x, algorithm=""giac"")","\frac{B \log\left({\left| b x + a \right|}\right)}{b^{3}} + \frac{2 \, {\left(2 \, B a - A b\right)} x + \frac{3 \, B a^{2} - A a b}{b}}{2 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"B*log(abs(b*x + a))/b^3 + 1/2*(2*(2*B*a - A*b)*x + (3*B*a^2 - A*a*b)/b)/((b*x + a)^2*b^2)","A",0
197,1,24,0,1.079058," ","integrate((B*x+A)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, B b x + B a + A b}{2 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"-1/2*(2*B*b*x + B*a + A*b)/((b*x + a)^2*b^2)","A",0
198,1,59,0,0.758696," ","integrate((B*x+A)/x/(b*x+a)^3,x, algorithm=""giac"")","-\frac{A \log\left({\left| b x + a \right|}\right)}{a^{3}} + \frac{A \log\left({\left| x \right|}\right)}{a^{3}} + \frac{2 \, A a b^{2} x - B a^{3} + 3 \, A a^{2} b}{2 \, {\left(b x + a\right)}^{2} a^{3} b}"," ",0,"-A*log(abs(b*x + a))/a^3 + A*log(abs(x))/a^3 + 1/2*(2*A*a*b^2*x - B*a^3 + 3*A*a^2*b)/((b*x + a)^2*a^3*b)","A",0
199,1,99,0,1.091490," ","integrate((B*x+A)/x^2/(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(B a - 3 \, A b\right)} \log\left({\left| x \right|}\right)}{a^{4}} - \frac{{\left(B a b - 3 \, A b^{2}\right)} \log\left({\left| b x + a \right|}\right)}{a^{4} b} - \frac{2 \, A a^{3} - 2 \, {\left(B a^{2} b - 3 \, A a b^{2}\right)} x^{2} - 3 \, {\left(B a^{3} - 3 \, A a^{2} b\right)} x}{2 \, {\left(b x + a\right)}^{2} a^{4} x}"," ",0,"(B*a - 3*A*b)*log(abs(x))/a^4 - (B*a*b - 3*A*b^2)*log(abs(b*x + a))/(a^4*b) - 1/2*(2*A*a^3 - 2*(B*a^2*b - 3*A*a*b^2)*x^2 - 3*(B*a^3 - 3*A*a^2*b)*x)/((b*x + a)^2*a^4*x)","A",0
200,1,124,0,1.034272," ","integrate((B*x+A)/x^3/(b*x+a)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(B a b - 2 \, A b^{2}\right)} \log\left({\left| x \right|}\right)}{a^{5}} + \frac{3 \, {\left(B a b^{2} - 2 \, A b^{3}\right)} \log\left({\left| b x + a \right|}\right)}{a^{5} b} - \frac{6 \, B a b^{2} x^{3} - 12 \, A b^{3} x^{3} + 9 \, B a^{2} b x^{2} - 18 \, A a b^{2} x^{2} + 2 \, B a^{3} x - 4 \, A a^{2} b x + A a^{3}}{2 \, {\left(b x^{2} + a x\right)}^{2} a^{4}}"," ",0,"-3*(B*a*b - 2*A*b^2)*log(abs(x))/a^5 + 3*(B*a*b^2 - 2*A*b^3)*log(abs(b*x + a))/(a^5*b) - 1/2*(6*B*a*b^2*x^3 - 12*A*b^3*x^3 + 9*B*a^2*b*x^2 - 18*A*a*b^2*x^2 + 2*B*a^3*x - 4*A*a^2*b*x + A*a^3)/((b*x^2 + a*x)^2*a^4)","A",0
201,1,158,0,0.941733," ","integrate((B*x+A)/x^4/(b*x+a)^3,x, algorithm=""giac"")","\frac{2 \, {\left(3 \, B a b^{2} - 5 \, A b^{3}\right)} \log\left({\left| x \right|}\right)}{a^{6}} - \frac{2 \, {\left(3 \, B a b^{3} - 5 \, A b^{4}\right)} \log\left({\left| b x + a \right|}\right)}{a^{6} b} - \frac{2 \, A a^{5} - 12 \, {\left(3 \, B a^{2} b^{3} - 5 \, A a b^{4}\right)} x^{4} - 18 \, {\left(3 \, B a^{3} b^{2} - 5 \, A a^{2} b^{3}\right)} x^{3} - 4 \, {\left(3 \, B a^{4} b - 5 \, A a^{3} b^{2}\right)} x^{2} + {\left(3 \, B a^{5} - 5 \, A a^{4} b\right)} x}{6 \, {\left(b x + a\right)}^{2} a^{6} x^{3}}"," ",0,"2*(3*B*a*b^2 - 5*A*b^3)*log(abs(x))/a^6 - 2*(3*B*a*b^3 - 5*A*b^4)*log(abs(b*x + a))/(a^6*b) - 1/6*(2*A*a^5 - 12*(3*B*a^2*b^3 - 5*A*a*b^4)*x^4 - 18*(3*B*a^3*b^2 - 5*A*a^2*b^3)*x^3 - 4*(3*B*a^4*b - 5*A*a^3*b^2)*x^2 + (3*B*a^5 - 5*A*a^4*b)*x)/((b*x + a)^2*a^6*x^3)","A",0
202,1,668,0,0.977663," ","integrate(x^3*(b*x+a)^2*(d*x+c)^16,x, algorithm=""giac"")","\frac{1}{22} \, b^{2} d^{16} x^{22} + \frac{16}{21} \, b^{2} c d^{15} x^{21} + \frac{2}{21} \, a b d^{16} x^{21} + 6 \, b^{2} c^{2} d^{14} x^{20} + \frac{8}{5} \, a b c d^{15} x^{20} + \frac{1}{20} \, a^{2} d^{16} x^{20} + \frac{560}{19} \, b^{2} c^{3} d^{13} x^{19} + \frac{240}{19} \, a b c^{2} d^{14} x^{19} + \frac{16}{19} \, a^{2} c d^{15} x^{19} + \frac{910}{9} \, b^{2} c^{4} d^{12} x^{18} + \frac{560}{9} \, a b c^{3} d^{13} x^{18} + \frac{20}{3} \, a^{2} c^{2} d^{14} x^{18} + \frac{4368}{17} \, b^{2} c^{5} d^{11} x^{17} + \frac{3640}{17} \, a b c^{4} d^{12} x^{17} + \frac{560}{17} \, a^{2} c^{3} d^{13} x^{17} + \frac{1001}{2} \, b^{2} c^{6} d^{10} x^{16} + 546 \, a b c^{5} d^{11} x^{16} + \frac{455}{4} \, a^{2} c^{4} d^{12} x^{16} + \frac{2288}{3} \, b^{2} c^{7} d^{9} x^{15} + \frac{16016}{15} \, a b c^{6} d^{10} x^{15} + \frac{1456}{5} \, a^{2} c^{5} d^{11} x^{15} + \frac{6435}{7} \, b^{2} c^{8} d^{8} x^{14} + \frac{11440}{7} \, a b c^{7} d^{9} x^{14} + 572 \, a^{2} c^{6} d^{10} x^{14} + 880 \, b^{2} c^{9} d^{7} x^{13} + 1980 \, a b c^{8} d^{8} x^{13} + 880 \, a^{2} c^{7} d^{9} x^{13} + \frac{2002}{3} \, b^{2} c^{10} d^{6} x^{12} + \frac{5720}{3} \, a b c^{9} d^{7} x^{12} + \frac{2145}{2} \, a^{2} c^{8} d^{8} x^{12} + \frac{4368}{11} \, b^{2} c^{11} d^{5} x^{11} + 1456 \, a b c^{10} d^{6} x^{11} + 1040 \, a^{2} c^{9} d^{7} x^{11} + 182 \, b^{2} c^{12} d^{4} x^{10} + \frac{4368}{5} \, a b c^{11} d^{5} x^{10} + \frac{4004}{5} \, a^{2} c^{10} d^{6} x^{10} + \frac{560}{9} \, b^{2} c^{13} d^{3} x^{9} + \frac{3640}{9} \, a b c^{12} d^{4} x^{9} + \frac{1456}{3} \, a^{2} c^{11} d^{5} x^{9} + 15 \, b^{2} c^{14} d^{2} x^{8} + 140 \, a b c^{13} d^{3} x^{8} + \frac{455}{2} \, a^{2} c^{12} d^{4} x^{8} + \frac{16}{7} \, b^{2} c^{15} d x^{7} + \frac{240}{7} \, a b c^{14} d^{2} x^{7} + 80 \, a^{2} c^{13} d^{3} x^{7} + \frac{1}{6} \, b^{2} c^{16} x^{6} + \frac{16}{3} \, a b c^{15} d x^{6} + 20 \, a^{2} c^{14} d^{2} x^{6} + \frac{2}{5} \, a b c^{16} x^{5} + \frac{16}{5} \, a^{2} c^{15} d x^{5} + \frac{1}{4} \, a^{2} c^{16} x^{4}"," ",0,"1/22*b^2*d^16*x^22 + 16/21*b^2*c*d^15*x^21 + 2/21*a*b*d^16*x^21 + 6*b^2*c^2*d^14*x^20 + 8/5*a*b*c*d^15*x^20 + 1/20*a^2*d^16*x^20 + 560/19*b^2*c^3*d^13*x^19 + 240/19*a*b*c^2*d^14*x^19 + 16/19*a^2*c*d^15*x^19 + 910/9*b^2*c^4*d^12*x^18 + 560/9*a*b*c^3*d^13*x^18 + 20/3*a^2*c^2*d^14*x^18 + 4368/17*b^2*c^5*d^11*x^17 + 3640/17*a*b*c^4*d^12*x^17 + 560/17*a^2*c^3*d^13*x^17 + 1001/2*b^2*c^6*d^10*x^16 + 546*a*b*c^5*d^11*x^16 + 455/4*a^2*c^4*d^12*x^16 + 2288/3*b^2*c^7*d^9*x^15 + 16016/15*a*b*c^6*d^10*x^15 + 1456/5*a^2*c^5*d^11*x^15 + 6435/7*b^2*c^8*d^8*x^14 + 11440/7*a*b*c^7*d^9*x^14 + 572*a^2*c^6*d^10*x^14 + 880*b^2*c^9*d^7*x^13 + 1980*a*b*c^8*d^8*x^13 + 880*a^2*c^7*d^9*x^13 + 2002/3*b^2*c^10*d^6*x^12 + 5720/3*a*b*c^9*d^7*x^12 + 2145/2*a^2*c^8*d^8*x^12 + 4368/11*b^2*c^11*d^5*x^11 + 1456*a*b*c^10*d^6*x^11 + 1040*a^2*c^9*d^7*x^11 + 182*b^2*c^12*d^4*x^10 + 4368/5*a*b*c^11*d^5*x^10 + 4004/5*a^2*c^10*d^6*x^10 + 560/9*b^2*c^13*d^3*x^9 + 3640/9*a*b*c^12*d^4*x^9 + 1456/3*a^2*c^11*d^5*x^9 + 15*b^2*c^14*d^2*x^8 + 140*a*b*c^13*d^3*x^8 + 455/2*a^2*c^12*d^4*x^8 + 16/7*b^2*c^15*d*x^7 + 240/7*a*b*c^14*d^2*x^7 + 80*a^2*c^13*d^3*x^7 + 1/6*b^2*c^16*x^6 + 16/3*a*b*c^15*d*x^6 + 20*a^2*c^14*d^2*x^6 + 2/5*a*b*c^16*x^5 + 16/5*a^2*c^15*d*x^5 + 1/4*a^2*c^16*x^4","B",0
203,1,668,0,0.992956," ","integrate(x^2*(b*x+a)^2*(d*x+c)^16,x, algorithm=""giac"")","\frac{1}{21} \, b^{2} d^{16} x^{21} + \frac{4}{5} \, b^{2} c d^{15} x^{20} + \frac{1}{10} \, a b d^{16} x^{20} + \frac{120}{19} \, b^{2} c^{2} d^{14} x^{19} + \frac{32}{19} \, a b c d^{15} x^{19} + \frac{1}{19} \, a^{2} d^{16} x^{19} + \frac{280}{9} \, b^{2} c^{3} d^{13} x^{18} + \frac{40}{3} \, a b c^{2} d^{14} x^{18} + \frac{8}{9} \, a^{2} c d^{15} x^{18} + \frac{1820}{17} \, b^{2} c^{4} d^{12} x^{17} + \frac{1120}{17} \, a b c^{3} d^{13} x^{17} + \frac{120}{17} \, a^{2} c^{2} d^{14} x^{17} + 273 \, b^{2} c^{5} d^{11} x^{16} + \frac{455}{2} \, a b c^{4} d^{12} x^{16} + 35 \, a^{2} c^{3} d^{13} x^{16} + \frac{8008}{15} \, b^{2} c^{6} d^{10} x^{15} + \frac{2912}{5} \, a b c^{5} d^{11} x^{15} + \frac{364}{3} \, a^{2} c^{4} d^{12} x^{15} + \frac{5720}{7} \, b^{2} c^{7} d^{9} x^{14} + 1144 \, a b c^{6} d^{10} x^{14} + 312 \, a^{2} c^{5} d^{11} x^{14} + 990 \, b^{2} c^{8} d^{8} x^{13} + 1760 \, a b c^{7} d^{9} x^{13} + 616 \, a^{2} c^{6} d^{10} x^{13} + \frac{2860}{3} \, b^{2} c^{9} d^{7} x^{12} + 2145 \, a b c^{8} d^{8} x^{12} + \frac{2860}{3} \, a^{2} c^{7} d^{9} x^{12} + 728 \, b^{2} c^{10} d^{6} x^{11} + 2080 \, a b c^{9} d^{7} x^{11} + 1170 \, a^{2} c^{8} d^{8} x^{11} + \frac{2184}{5} \, b^{2} c^{11} d^{5} x^{10} + \frac{8008}{5} \, a b c^{10} d^{6} x^{10} + 1144 \, a^{2} c^{9} d^{7} x^{10} + \frac{1820}{9} \, b^{2} c^{12} d^{4} x^{9} + \frac{2912}{3} \, a b c^{11} d^{5} x^{9} + \frac{8008}{9} \, a^{2} c^{10} d^{6} x^{9} + 70 \, b^{2} c^{13} d^{3} x^{8} + 455 \, a b c^{12} d^{4} x^{8} + 546 \, a^{2} c^{11} d^{5} x^{8} + \frac{120}{7} \, b^{2} c^{14} d^{2} x^{7} + 160 \, a b c^{13} d^{3} x^{7} + 260 \, a^{2} c^{12} d^{4} x^{7} + \frac{8}{3} \, b^{2} c^{15} d x^{6} + 40 \, a b c^{14} d^{2} x^{6} + \frac{280}{3} \, a^{2} c^{13} d^{3} x^{6} + \frac{1}{5} \, b^{2} c^{16} x^{5} + \frac{32}{5} \, a b c^{15} d x^{5} + 24 \, a^{2} c^{14} d^{2} x^{5} + \frac{1}{2} \, a b c^{16} x^{4} + 4 \, a^{2} c^{15} d x^{4} + \frac{1}{3} \, a^{2} c^{16} x^{3}"," ",0,"1/21*b^2*d^16*x^21 + 4/5*b^2*c*d^15*x^20 + 1/10*a*b*d^16*x^20 + 120/19*b^2*c^2*d^14*x^19 + 32/19*a*b*c*d^15*x^19 + 1/19*a^2*d^16*x^19 + 280/9*b^2*c^3*d^13*x^18 + 40/3*a*b*c^2*d^14*x^18 + 8/9*a^2*c*d^15*x^18 + 1820/17*b^2*c^4*d^12*x^17 + 1120/17*a*b*c^3*d^13*x^17 + 120/17*a^2*c^2*d^14*x^17 + 273*b^2*c^5*d^11*x^16 + 455/2*a*b*c^4*d^12*x^16 + 35*a^2*c^3*d^13*x^16 + 8008/15*b^2*c^6*d^10*x^15 + 2912/5*a*b*c^5*d^11*x^15 + 364/3*a^2*c^4*d^12*x^15 + 5720/7*b^2*c^7*d^9*x^14 + 1144*a*b*c^6*d^10*x^14 + 312*a^2*c^5*d^11*x^14 + 990*b^2*c^8*d^8*x^13 + 1760*a*b*c^7*d^9*x^13 + 616*a^2*c^6*d^10*x^13 + 2860/3*b^2*c^9*d^7*x^12 + 2145*a*b*c^8*d^8*x^12 + 2860/3*a^2*c^7*d^9*x^12 + 728*b^2*c^10*d^6*x^11 + 2080*a*b*c^9*d^7*x^11 + 1170*a^2*c^8*d^8*x^11 + 2184/5*b^2*c^11*d^5*x^10 + 8008/5*a*b*c^10*d^6*x^10 + 1144*a^2*c^9*d^7*x^10 + 1820/9*b^2*c^12*d^4*x^9 + 2912/3*a*b*c^11*d^5*x^9 + 8008/9*a^2*c^10*d^6*x^9 + 70*b^2*c^13*d^3*x^8 + 455*a*b*c^12*d^4*x^8 + 546*a^2*c^11*d^5*x^8 + 120/7*b^2*c^14*d^2*x^7 + 160*a*b*c^13*d^3*x^7 + 260*a^2*c^12*d^4*x^7 + 8/3*b^2*c^15*d*x^6 + 40*a*b*c^14*d^2*x^6 + 280/3*a^2*c^13*d^3*x^6 + 1/5*b^2*c^16*x^5 + 32/5*a*b*c^15*d*x^5 + 24*a^2*c^14*d^2*x^5 + 1/2*a*b*c^16*x^4 + 4*a^2*c^15*d*x^4 + 1/3*a^2*c^16*x^3","B",0
204,1,668,0,1.104893," ","integrate(x*(b*x+a)^2*(d*x+c)^16,x, algorithm=""giac"")","\frac{1}{20} \, b^{2} d^{16} x^{20} + \frac{16}{19} \, b^{2} c d^{15} x^{19} + \frac{2}{19} \, a b d^{16} x^{19} + \frac{20}{3} \, b^{2} c^{2} d^{14} x^{18} + \frac{16}{9} \, a b c d^{15} x^{18} + \frac{1}{18} \, a^{2} d^{16} x^{18} + \frac{560}{17} \, b^{2} c^{3} d^{13} x^{17} + \frac{240}{17} \, a b c^{2} d^{14} x^{17} + \frac{16}{17} \, a^{2} c d^{15} x^{17} + \frac{455}{4} \, b^{2} c^{4} d^{12} x^{16} + 70 \, a b c^{3} d^{13} x^{16} + \frac{15}{2} \, a^{2} c^{2} d^{14} x^{16} + \frac{1456}{5} \, b^{2} c^{5} d^{11} x^{15} + \frac{728}{3} \, a b c^{4} d^{12} x^{15} + \frac{112}{3} \, a^{2} c^{3} d^{13} x^{15} + 572 \, b^{2} c^{6} d^{10} x^{14} + 624 \, a b c^{5} d^{11} x^{14} + 130 \, a^{2} c^{4} d^{12} x^{14} + 880 \, b^{2} c^{7} d^{9} x^{13} + 1232 \, a b c^{6} d^{10} x^{13} + 336 \, a^{2} c^{5} d^{11} x^{13} + \frac{2145}{2} \, b^{2} c^{8} d^{8} x^{12} + \frac{5720}{3} \, a b c^{7} d^{9} x^{12} + \frac{2002}{3} \, a^{2} c^{6} d^{10} x^{12} + 1040 \, b^{2} c^{9} d^{7} x^{11} + 2340 \, a b c^{8} d^{8} x^{11} + 1040 \, a^{2} c^{7} d^{9} x^{11} + \frac{4004}{5} \, b^{2} c^{10} d^{6} x^{10} + 2288 \, a b c^{9} d^{7} x^{10} + 1287 \, a^{2} c^{8} d^{8} x^{10} + \frac{1456}{3} \, b^{2} c^{11} d^{5} x^{9} + \frac{16016}{9} \, a b c^{10} d^{6} x^{9} + \frac{11440}{9} \, a^{2} c^{9} d^{7} x^{9} + \frac{455}{2} \, b^{2} c^{12} d^{4} x^{8} + 1092 \, a b c^{11} d^{5} x^{8} + 1001 \, a^{2} c^{10} d^{6} x^{8} + 80 \, b^{2} c^{13} d^{3} x^{7} + 520 \, a b c^{12} d^{4} x^{7} + 624 \, a^{2} c^{11} d^{5} x^{7} + 20 \, b^{2} c^{14} d^{2} x^{6} + \frac{560}{3} \, a b c^{13} d^{3} x^{6} + \frac{910}{3} \, a^{2} c^{12} d^{4} x^{6} + \frac{16}{5} \, b^{2} c^{15} d x^{5} + 48 \, a b c^{14} d^{2} x^{5} + 112 \, a^{2} c^{13} d^{3} x^{5} + \frac{1}{4} \, b^{2} c^{16} x^{4} + 8 \, a b c^{15} d x^{4} + 30 \, a^{2} c^{14} d^{2} x^{4} + \frac{2}{3} \, a b c^{16} x^{3} + \frac{16}{3} \, a^{2} c^{15} d x^{3} + \frac{1}{2} \, a^{2} c^{16} x^{2}"," ",0,"1/20*b^2*d^16*x^20 + 16/19*b^2*c*d^15*x^19 + 2/19*a*b*d^16*x^19 + 20/3*b^2*c^2*d^14*x^18 + 16/9*a*b*c*d^15*x^18 + 1/18*a^2*d^16*x^18 + 560/17*b^2*c^3*d^13*x^17 + 240/17*a*b*c^2*d^14*x^17 + 16/17*a^2*c*d^15*x^17 + 455/4*b^2*c^4*d^12*x^16 + 70*a*b*c^3*d^13*x^16 + 15/2*a^2*c^2*d^14*x^16 + 1456/5*b^2*c^5*d^11*x^15 + 728/3*a*b*c^4*d^12*x^15 + 112/3*a^2*c^3*d^13*x^15 + 572*b^2*c^6*d^10*x^14 + 624*a*b*c^5*d^11*x^14 + 130*a^2*c^4*d^12*x^14 + 880*b^2*c^7*d^9*x^13 + 1232*a*b*c^6*d^10*x^13 + 336*a^2*c^5*d^11*x^13 + 2145/2*b^2*c^8*d^8*x^12 + 5720/3*a*b*c^7*d^9*x^12 + 2002/3*a^2*c^6*d^10*x^12 + 1040*b^2*c^9*d^7*x^11 + 2340*a*b*c^8*d^8*x^11 + 1040*a^2*c^7*d^9*x^11 + 4004/5*b^2*c^10*d^6*x^10 + 2288*a*b*c^9*d^7*x^10 + 1287*a^2*c^8*d^8*x^10 + 1456/3*b^2*c^11*d^5*x^9 + 16016/9*a*b*c^10*d^6*x^9 + 11440/9*a^2*c^9*d^7*x^9 + 455/2*b^2*c^12*d^4*x^8 + 1092*a*b*c^11*d^5*x^8 + 1001*a^2*c^10*d^6*x^8 + 80*b^2*c^13*d^3*x^7 + 520*a*b*c^12*d^4*x^7 + 624*a^2*c^11*d^5*x^7 + 20*b^2*c^14*d^2*x^6 + 560/3*a*b*c^13*d^3*x^6 + 910/3*a^2*c^12*d^4*x^6 + 16/5*b^2*c^15*d*x^5 + 48*a*b*c^14*d^2*x^5 + 112*a^2*c^13*d^3*x^5 + 1/4*b^2*c^16*x^4 + 8*a*b*c^15*d*x^4 + 30*a^2*c^14*d^2*x^4 + 2/3*a*b*c^16*x^3 + 16/3*a^2*c^15*d*x^3 + 1/2*a^2*c^16*x^2","B",0
205,1,95,0,0.967954," ","integrate(x^3*(d*x+c)/(b*x+a),x, algorithm=""giac"")","\frac{3 \, b^{3} d x^{4} + 4 \, b^{3} c x^{3} - 4 \, a b^{2} d x^{3} - 6 \, a b^{2} c x^{2} + 6 \, a^{2} b d x^{2} + 12 \, a^{2} b c x - 12 \, a^{3} d x}{12 \, b^{4}} - \frac{{\left(a^{3} b c - a^{4} d\right)} \log\left({\left| b x + a \right|}\right)}{b^{5}}"," ",0,"1/12*(3*b^3*d*x^4 + 4*b^3*c*x^3 - 4*a*b^2*d*x^3 - 6*a*b^2*c*x^2 + 6*a^2*b*d*x^2 + 12*a^2*b*c*x - 12*a^3*d*x)/b^4 - (a^3*b*c - a^4*d)*log(abs(b*x + a))/b^5","A",0
206,1,70,0,1.122492," ","integrate(x^2*(d*x+c)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, b^{2} d x^{3} + 3 \, b^{2} c x^{2} - 3 \, a b d x^{2} - 6 \, a b c x + 6 \, a^{2} d x}{6 \, b^{3}} + \frac{{\left(a^{2} b c - a^{3} d\right)} \log\left({\left| b x + a \right|}\right)}{b^{4}}"," ",0,"1/6*(2*b^2*d*x^3 + 3*b^2*c*x^2 - 3*a*b*d*x^2 - 6*a*b*c*x + 6*a^2*d*x)/b^3 + (a^2*b*c - a^3*d)*log(abs(b*x + a))/b^4","A",0
207,1,46,0,0.973808," ","integrate(x*(d*x+c)/(b*x+a),x, algorithm=""giac"")","\frac{b d x^{2} + 2 \, b c x - 2 \, a d x}{2 \, b^{2}} - \frac{{\left(a b c - a^{2} d\right)} \log\left({\left| b x + a \right|}\right)}{b^{3}}"," ",0,"1/2*(b*d*x^2 + 2*b*c*x - 2*a*d*x)/b^2 - (a*b*c - a^2*d)*log(abs(b*x + a))/b^3","A",0
208,1,26,0,0.935043," ","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
209,1,32,0,0.940523," ","integrate((d*x+c)/x/(b*x+a),x, algorithm=""giac"")","\frac{c \log\left({\left| x \right|}\right)}{a} - \frac{{\left(b c - a d\right)} \log\left({\left| b x + a \right|}\right)}{a b}"," ",0,"c*log(abs(x))/a - (b*c - a*d)*log(abs(b*x + a))/(a*b)","A",0
210,1,51,0,0.877603," ","integrate((d*x+c)/x^2/(b*x+a),x, algorithm=""giac"")","-\frac{{\left(b c - a d\right)} \log\left({\left| x \right|}\right)}{a^{2}} - \frac{c}{a x} + \frac{{\left(b^{2} c - a b d\right)} \log\left({\left| b x + a \right|}\right)}{a^{2} b}"," ",0,"-(b*c - a*d)*log(abs(x))/a^2 - c/(a*x) + (b^2*c - a*b*d)*log(abs(b*x + a))/(a^2*b)","A",0
211,1,75,0,1.063504," ","integrate((d*x+c)/x^3/(b*x+a),x, algorithm=""giac"")","\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| x \right|}\right)}{a^{3}} - \frac{{\left(b^{3} c - a b^{2} d\right)} \log\left({\left| b x + a \right|}\right)}{a^{3} b} - \frac{a^{2} c - 2 \, {\left(a b c - a^{2} d\right)} x}{2 \, a^{3} x^{2}}"," ",0,"(b^2*c - a*b*d)*log(abs(x))/a^3 - (b^3*c - a*b^2*d)*log(abs(b*x + a))/(a^3*b) - 1/2*(a^2*c - 2*(a*b*c - a^2*d)*x)/(a^3*x^2)","A",0
212,1,99,0,1.091803," ","integrate((d*x+c)/x^4/(b*x+a),x, algorithm=""giac"")","-\frac{{\left(b^{3} c - a b^{2} d\right)} \log\left({\left| x \right|}\right)}{a^{4}} + \frac{{\left(b^{4} c - a b^{3} d\right)} \log\left({\left| b x + a \right|}\right)}{a^{4} b} - \frac{2 \, a^{3} c + 6 \, {\left(a b^{2} c - a^{2} b d\right)} x^{2} - 3 \, {\left(a^{2} b c - a^{3} d\right)} x}{6 \, a^{4} x^{3}}"," ",0,"-(b^3*c - a*b^2*d)*log(abs(x))/a^4 + (b^4*c - a*b^3*d)*log(abs(b*x + a))/(a^4*b) - 1/6*(2*a^3*c + 6*(a*b^2*c - a^2*b*d)*x^2 - 3*(a^2*b*c - a^3*d)*x)/(a^4*x^3)","A",0
213,1,181,0,1.036449," ","integrate(x^3*(d*x+c)^2/(b*x+a),x, algorithm=""giac"")","\frac{12 \, b^{4} d^{2} x^{5} + 30 \, b^{4} c d x^{4} - 15 \, a b^{3} d^{2} x^{4} + 20 \, b^{4} c^{2} x^{3} - 40 \, a b^{3} c d x^{3} + 20 \, a^{2} b^{2} d^{2} x^{3} - 30 \, a b^{3} c^{2} x^{2} + 60 \, a^{2} b^{2} c d x^{2} - 30 \, a^{3} b d^{2} x^{2} + 60 \, a^{2} b^{2} c^{2} x - 120 \, a^{3} b c d x + 60 \, a^{4} d^{2} x}{60 \, b^{5}} - \frac{{\left(a^{3} b^{2} c^{2} - 2 \, a^{4} b c d + a^{5} d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{b^{6}}"," ",0,"1/60*(12*b^4*d^2*x^5 + 30*b^4*c*d*x^4 - 15*a*b^3*d^2*x^4 + 20*b^4*c^2*x^3 - 40*a*b^3*c*d*x^3 + 20*a^2*b^2*d^2*x^3 - 30*a*b^3*c^2*x^2 + 60*a^2*b^2*c*d*x^2 - 30*a^3*b*d^2*x^2 + 60*a^2*b^2*c^2*x - 120*a^3*b*c*d*x + 60*a^4*d^2*x)/b^5 - (a^3*b^2*c^2 - 2*a^4*b*c*d + a^5*d^2)*log(abs(b*x + a))/b^6","A",0
214,1,139,0,0.881207," ","integrate(x^2*(d*x+c)^2/(b*x+a),x, algorithm=""giac"")","\frac{3 \, b^{3} d^{2} x^{4} + 8 \, b^{3} c d x^{3} - 4 \, a b^{2} d^{2} x^{3} + 6 \, b^{3} c^{2} x^{2} - 12 \, a b^{2} c d x^{2} + 6 \, a^{2} b d^{2} x^{2} - 12 \, a b^{2} c^{2} x + 24 \, a^{2} b c d x - 12 \, a^{3} d^{2} x}{12 \, b^{4}} + \frac{{\left(a^{2} b^{2} c^{2} - 2 \, a^{3} b c d + a^{4} d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{b^{5}}"," ",0,"1/12*(3*b^3*d^2*x^4 + 8*b^3*c*d*x^3 - 4*a*b^2*d^2*x^3 + 6*b^3*c^2*x^2 - 12*a*b^2*c*d*x^2 + 6*a^2*b*d^2*x^2 - 12*a*b^2*c^2*x + 24*a^2*b*c*d*x - 12*a^3*d^2*x)/b^4 + (a^2*b^2*c^2 - 2*a^3*b*c*d + a^4*d^2)*log(abs(b*x + a))/b^5","A",0
215,1,99,0,1.002790," ","integrate(x*(d*x+c)^2/(b*x+a),x, algorithm=""giac"")","\frac{2 \, b^{2} d^{2} x^{3} + 6 \, b^{2} c d x^{2} - 3 \, a b d^{2} x^{2} + 6 \, b^{2} c^{2} x - 12 \, a b c d x + 6 \, a^{2} d^{2} x}{6 \, b^{3}} - \frac{{\left(a b^{2} c^{2} - 2 \, a^{2} b c d + a^{3} d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{b^{4}}"," ",0,"1/6*(2*b^2*d^2*x^3 + 6*b^2*c*d*x^2 - 3*a*b*d^2*x^2 + 6*b^2*c^2*x - 12*a*b*c*d*x + 6*a^2*d^2*x)/b^3 - (a*b^2*c^2 - 2*a^2*b*c*d + a^3*d^2)*log(abs(b*x + a))/b^4","A",0
216,1,60,0,0.934002," ","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
217,1,55,0,1.108109," ","integrate((d*x+c)^2/x/(b*x+a),x, algorithm=""giac"")","\frac{d^{2} x}{b} + \frac{c^{2} \log\left({\left| x \right|}\right)}{a} - \frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{a b^{2}}"," ",0,"d^2*x/b + c^2*log(abs(x))/a - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(abs(b*x + a))/(a*b^2)","A",0
218,1,66,0,0.899875," ","integrate((d*x+c)^2/x^2/(b*x+a),x, algorithm=""giac"")","-\frac{c^{2}}{a x} - \frac{{\left(b c^{2} - 2 \, a c d\right)} \log\left({\left| x \right|}\right)}{a^{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)}{a^{2} b}"," ",0,"-c^2/(a*x) - (b*c^2 - 2*a*c*d)*log(abs(x))/a^2 + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(abs(b*x + a))/(a^2*b)","A",0
219,1,101,0,0.994527," ","integrate((d*x+c)^2/x^3/(b*x+a),x, algorithm=""giac"")","\frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left({\left| x \right|}\right)}{a^{3}} - \frac{{\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{a^{3} b} - \frac{a^{2} c^{2} - 2 \, {\left(a b c^{2} - 2 \, a^{2} c d\right)} x}{2 \, a^{3} x^{2}}"," ",0,"(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(abs(x))/a^3 - (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*log(abs(b*x + a))/(a^3*b) - 1/2*(a^2*c^2 - 2*(a*b*c^2 - 2*a^2*c*d)*x)/(a^3*x^2)","A",0
220,1,138,0,0.855298," ","integrate((d*x+c)^2/x^4/(b*x+a),x, algorithm=""giac"")","-\frac{{\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} \log\left({\left| x \right|}\right)}{a^{4}} + \frac{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{a^{4} b} - \frac{2 \, a^{3} c^{2} + 6 \, {\left(a b^{2} c^{2} - 2 \, a^{2} b c d + a^{3} d^{2}\right)} x^{2} - 3 \, {\left(a^{2} b c^{2} - 2 \, a^{3} c d\right)} x}{6 \, a^{4} x^{3}}"," ",0,"-(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*log(abs(x))/a^4 + (b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*log(abs(b*x + a))/(a^4*b) - 1/6*(2*a^3*c^2 + 6*(a*b^2*c^2 - 2*a^2*b*c*d + a^3*d^2)*x^2 - 3*(a^2*b*c^2 - 2*a^3*c*d)*x)/(a^4*x^3)","A",0
221,1,174,0,0.898015," ","integrate((d*x+c)^2/x^5/(b*x+a),x, algorithm=""giac"")","\frac{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} \log\left({\left| x \right|}\right)}{a^{5}} - \frac{{\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{a^{5} b} - \frac{3 \, a^{4} c^{2} - 12 \, {\left(a b^{3} c^{2} - 2 \, a^{2} b^{2} c d + a^{3} b d^{2}\right)} x^{3} + 6 \, {\left(a^{2} b^{2} c^{2} - 2 \, a^{3} b c d + a^{4} d^{2}\right)} x^{2} - 4 \, {\left(a^{3} b c^{2} - 2 \, a^{4} c d\right)} x}{12 \, a^{5} x^{4}}"," ",0,"(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*log(abs(x))/a^5 - (b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*log(abs(b*x + a))/(a^5*b) - 1/12*(3*a^4*c^2 - 12*(a*b^3*c^2 - 2*a^2*b^2*c*d + a^3*b*d^2)*x^3 + 6*(a^2*b^2*c^2 - 2*a^3*b*c*d + a^4*d^2)*x^2 - 4*(a^3*b*c^2 - 2*a^4*c*d)*x)/(a^5*x^4)","A",0
222,1,286,0,0.947005," ","integrate(x^3*(d*x+c)^3/(b*x+a),x, algorithm=""giac"")","\frac{10 \, b^{5} d^{3} x^{6} + 36 \, b^{5} c d^{2} x^{5} - 12 \, a b^{4} d^{3} x^{5} + 45 \, b^{5} c^{2} d x^{4} - 45 \, a b^{4} c d^{2} x^{4} + 15 \, a^{2} b^{3} d^{3} x^{4} + 20 \, b^{5} c^{3} x^{3} - 60 \, a b^{4} c^{2} d x^{3} + 60 \, a^{2} b^{3} c d^{2} x^{3} - 20 \, a^{3} b^{2} d^{3} x^{3} - 30 \, a b^{4} c^{3} x^{2} + 90 \, a^{2} b^{3} c^{2} d x^{2} - 90 \, a^{3} b^{2} c d^{2} x^{2} + 30 \, a^{4} b d^{3} x^{2} + 60 \, a^{2} b^{3} c^{3} x - 180 \, a^{3} b^{2} c^{2} d x + 180 \, a^{4} b c d^{2} x - 60 \, a^{5} d^{3} x}{60 \, b^{6}} - \frac{{\left(a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3}\right)} \log\left({\left| b x + a \right|}\right)}{b^{7}}"," ",0,"1/60*(10*b^5*d^3*x^6 + 36*b^5*c*d^2*x^5 - 12*a*b^4*d^3*x^5 + 45*b^5*c^2*d*x^4 - 45*a*b^4*c*d^2*x^4 + 15*a^2*b^3*d^3*x^4 + 20*b^5*c^3*x^3 - 60*a*b^4*c^2*d*x^3 + 60*a^2*b^3*c*d^2*x^3 - 20*a^3*b^2*d^3*x^3 - 30*a*b^4*c^3*x^2 + 90*a^2*b^3*c^2*d*x^2 - 90*a^3*b^2*c*d^2*x^2 + 30*a^4*b*d^3*x^2 + 60*a^2*b^3*c^3*x - 180*a^3*b^2*c^2*d*x + 180*a^4*b*c*d^2*x - 60*a^5*d^3*x)/b^6 - (a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3)*log(abs(b*x + a))/b^7","B",0
223,1,227,0,1.065652," ","integrate(x^2*(d*x+c)^3/(b*x+a),x, algorithm=""giac"")","\frac{12 \, b^{4} d^{3} x^{5} + 45 \, b^{4} c d^{2} x^{4} - 15 \, a b^{3} d^{3} x^{4} + 60 \, b^{4} c^{2} d x^{3} - 60 \, a b^{3} c d^{2} x^{3} + 20 \, a^{2} b^{2} d^{3} x^{3} + 30 \, b^{4} c^{3} x^{2} - 90 \, a b^{3} c^{2} d x^{2} + 90 \, a^{2} b^{2} c d^{2} x^{2} - 30 \, a^{3} b d^{3} x^{2} - 60 \, a b^{3} c^{3} x + 180 \, a^{2} b^{2} c^{2} d x - 180 \, a^{3} b c d^{2} x + 60 \, a^{4} d^{3} x}{60 \, b^{5}} + \frac{{\left(a^{2} b^{3} c^{3} - 3 \, a^{3} b^{2} c^{2} d + 3 \, a^{4} b c d^{2} - a^{5} d^{3}\right)} \log\left({\left| b x + a \right|}\right)}{b^{6}}"," ",0,"1/60*(12*b^4*d^3*x^5 + 45*b^4*c*d^2*x^4 - 15*a*b^3*d^3*x^4 + 60*b^4*c^2*d*x^3 - 60*a*b^3*c*d^2*x^3 + 20*a^2*b^2*d^3*x^3 + 30*b^4*c^3*x^2 - 90*a*b^3*c^2*d*x^2 + 90*a^2*b^2*c*d^2*x^2 - 30*a^3*b*d^3*x^2 - 60*a*b^3*c^3*x + 180*a^2*b^2*c^2*d*x - 180*a^3*b*c*d^2*x + 60*a^4*d^3*x)/b^5 + (a^2*b^3*c^3 - 3*a^3*b^2*c^2*d + 3*a^4*b*c*d^2 - a^5*d^3)*log(abs(b*x + a))/b^6","A",0
224,1,170,0,0.911986," ","integrate(x*(d*x+c)^3/(b*x+a),x, algorithm=""giac"")","\frac{3 \, b^{3} d^{3} x^{4} + 12 \, b^{3} c d^{2} x^{3} - 4 \, a b^{2} d^{3} x^{3} + 18 \, b^{3} c^{2} d x^{2} - 18 \, a b^{2} c d^{2} x^{2} + 6 \, a^{2} b d^{3} x^{2} + 12 \, b^{3} c^{3} x - 36 \, a b^{2} c^{2} d x + 36 \, a^{2} b c d^{2} x - 12 \, a^{3} d^{3} x}{12 \, b^{4}} - \frac{{\left(a b^{3} c^{3} - 3 \, a^{2} b^{2} c^{2} d + 3 \, a^{3} b c d^{2} - a^{4} d^{3}\right)} \log\left({\left| b x + a \right|}\right)}{b^{5}}"," ",0,"1/12*(3*b^3*d^3*x^4 + 12*b^3*c*d^2*x^3 - 4*a*b^2*d^3*x^3 + 18*b^3*c^2*d*x^2 - 18*a*b^2*c*d^2*x^2 + 6*a^2*b*d^3*x^2 + 12*b^3*c^3*x - 36*a*b^2*c^2*d*x + 36*a^2*b*c*d^2*x - 12*a^3*d^3*x)/b^4 - (a*b^3*c^3 - 3*a^2*b^2*c^2*d + 3*a^3*b*c*d^2 - a^4*d^3)*log(abs(b*x + a))/b^5","A",0
225,1,115,0,1.071075," ","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
226,1,91,0,0.856246," ","integrate((d*x+c)^3/x/(b*x+a),x, algorithm=""giac"")","\frac{c^{3} \log\left({\left| x \right|}\right)}{a} + \frac{b d^{3} x^{2} + 6 \, b c d^{2} x - 2 \, a d^{3} x}{2 \, b^{2}} - \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)}{a b^{3}}"," ",0,"c^3*log(abs(x))/a + 1/2*(b*d^3*x^2 + 6*b*c*d^2*x - 2*a*d^3*x)/b^2 - (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))/(a*b^3)","A",0
227,1,91,0,1.083922," ","integrate((d*x+c)^3/x^2/(b*x+a),x, algorithm=""giac"")","\frac{d^{3} x}{b} - \frac{c^{3}}{a x} - \frac{{\left(b c^{3} - 3 \, a c^{2} d\right)} \log\left({\left| x \right|}\right)}{a^{2}} + \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)}{a^{2} b^{2}}"," ",0,"d^3*x/b - c^3/(a*x) - (b*c^3 - 3*a*c^2*d)*log(abs(x))/a^2 + (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))/(a^2*b^2)","A",0
228,1,119,0,1.103042," ","integrate((d*x+c)^3/x^3/(b*x+a),x, algorithm=""giac"")","\frac{{\left(b^{2} c^{3} - 3 \, a b c^{2} d + 3 \, a^{2} c d^{2}\right)} \log\left({\left| x \right|}\right)}{a^{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)}{a^{3} b} - \frac{a^{2} c^{3} - 2 \, {\left(a b c^{3} - 3 \, a^{2} c^{2} d\right)} x}{2 \, a^{3} x^{2}}"," ",0,"(b^2*c^3 - 3*a*b*c^2*d + 3*a^2*c*d^2)*log(abs(x))/a^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))/(a^3*b) - 1/2*(a^2*c^3 - 2*(a*b*c^3 - 3*a^2*c^2*d)*x)/(a^3*x^2)","A",0
229,1,169,0,0.954260," ","integrate((d*x+c)^3/x^4/(b*x+a),x, algorithm=""giac"")","-\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| x \right|}\right)}{a^{4}} + \frac{{\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({\left| b x + a \right|}\right)}{a^{4} b} - \frac{2 \, a^{3} c^{3} + 6 \, {\left(a b^{2} c^{3} - 3 \, a^{2} b c^{2} d + 3 \, a^{3} c d^{2}\right)} x^{2} - 3 \, {\left(a^{2} b c^{3} - 3 \, a^{3} c^{2} d\right)} x}{6 \, a^{4} x^{3}}"," ",0,"-(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*log(abs(x))/a^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(b*x + a))/(a^4*b) - 1/6*(2*a^3*c^3 + 6*(a*b^2*c^3 - 3*a^2*b*c^2*d + 3*a^3*c*d^2)*x^2 - 3*(a^2*b*c^3 - 3*a^3*c^2*d)*x)/(a^4*x^3)","A",0
230,1,220,0,1.092336," ","integrate((d*x+c)^3/x^5/(b*x+a),x, algorithm=""giac"")","\frac{{\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({\left| x \right|}\right)}{a^{5}} - \frac{{\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| b x + a \right|}\right)}{a^{5} b} - \frac{3 \, a^{4} c^{3} - 12 \, {\left(a b^{3} c^{3} - 3 \, a^{2} b^{2} c^{2} d + 3 \, a^{3} b c d^{2} - a^{4} d^{3}\right)} x^{3} + 6 \, {\left(a^{2} b^{2} c^{3} - 3 \, a^{3} b c^{2} d + 3 \, a^{4} c d^{2}\right)} x^{2} - 4 \, {\left(a^{3} b c^{3} - 3 \, a^{4} c^{2} d\right)} x}{12 \, a^{5} x^{4}}"," ",0,"(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(x))/a^5 - (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(b*x + a))/(a^5*b) - 1/12*(3*a^4*c^3 - 12*(a*b^3*c^3 - 3*a^2*b^2*c^2*d + 3*a^3*b*c*d^2 - a^4*d^3)*x^3 + 6*(a^2*b^2*c^3 - 3*a^3*b*c^2*d + 3*a^4*c*d^2)*x^2 - 4*(a^3*b*c^3 - 3*a^4*c^2*d)*x)/(a^5*x^4)","A",0
231,1,271,0,0.973062," ","integrate((d*x+c)^3/x^6/(b*x+a),x, algorithm=""giac"")","-\frac{{\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| x \right|}\right)}{a^{6}} + \frac{{\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| b x + a \right|}\right)}{a^{6} b} - \frac{12 \, a^{5} c^{3} + 60 \, {\left(a b^{4} c^{3} - 3 \, a^{2} b^{3} c^{2} d + 3 \, a^{3} b^{2} c d^{2} - a^{4} b d^{3}\right)} x^{4} - 30 \, {\left(a^{2} b^{3} c^{3} - 3 \, a^{3} b^{2} c^{2} d + 3 \, a^{4} b c d^{2} - a^{5} d^{3}\right)} x^{3} + 20 \, {\left(a^{3} b^{2} c^{3} - 3 \, a^{4} b c^{2} d + 3 \, a^{5} c d^{2}\right)} x^{2} - 15 \, {\left(a^{4} b c^{3} - 3 \, a^{5} c^{2} d\right)} x}{60 \, a^{6} x^{5}}"," ",0,"-(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(x))/a^6 + (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(b*x + a))/(a^6*b) - 1/60*(12*a^5*c^3 + 60*(a*b^4*c^3 - 3*a^2*b^3*c^2*d + 3*a^3*b^2*c*d^2 - a^4*b*d^3)*x^4 - 30*(a^2*b^3*c^3 - 3*a^3*b^2*c^2*d + 3*a^4*b*c*d^2 - a^5*d^3)*x^3 + 20*(a^3*b^2*c^3 - 3*a^4*b*c^2*d + 3*a^5*c*d^2)*x^2 - 15*(a^4*b*c^3 - 3*a^5*c^2*d)*x)/(a^6*x^5)","A",0
232,1,175,0,0.899337," ","integrate(x^5/(b*x+a)/(d*x+c),x, algorithm=""giac"")","-\frac{a^{5} \log\left({\left| b x + a \right|}\right)}{b^{6} c - a b^{5} d} + \frac{c^{5} \log\left({\left| d x + c \right|}\right)}{b c d^{5} - a d^{6}} + \frac{3 \, b^{3} d^{3} x^{4} - 4 \, b^{3} c d^{2} x^{3} - 4 \, a b^{2} d^{3} x^{3} + 6 \, b^{3} c^{2} d x^{2} + 6 \, a b^{2} c d^{2} x^{2} + 6 \, a^{2} b d^{3} x^{2} - 12 \, b^{3} c^{3} x - 12 \, a b^{2} c^{2} d x - 12 \, a^{2} b c d^{2} x - 12 \, a^{3} d^{3} x}{12 \, b^{4} d^{4}}"," ",0,"-a^5*log(abs(b*x + a))/(b^6*c - a*b^5*d) + c^5*log(abs(d*x + c))/(b*c*d^5 - a*d^6) + 1/12*(3*b^3*d^3*x^4 - 4*b^3*c*d^2*x^3 - 4*a*b^2*d^3*x^3 + 6*b^3*c^2*d*x^2 + 6*a*b^2*c*d^2*x^2 + 6*a^2*b*d^3*x^2 - 12*b^3*c^3*x - 12*a*b^2*c^2*d*x - 12*a^2*b*c*d^2*x - 12*a^3*d^3*x)/(b^4*d^4)","A",0
233,1,119,0,0.999717," ","integrate(x^4/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\frac{a^{4} \log\left({\left| b x + a \right|}\right)}{b^{5} c - a b^{4} d} - \frac{c^{4} \log\left({\left| d x + c \right|}\right)}{b c d^{4} - a d^{5}} + \frac{2 \, b^{2} d^{2} x^{3} - 3 \, b^{2} c d x^{2} - 3 \, a b d^{2} x^{2} + 6 \, b^{2} c^{2} x + 6 \, a b c d x + 6 \, a^{2} d^{2} x}{6 \, b^{3} d^{3}}"," ",0,"a^4*log(abs(b*x + a))/(b^5*c - a*b^4*d) - c^4*log(abs(d*x + c))/(b*c*d^4 - a*d^5) + 1/6*(2*b^2*d^2*x^3 - 3*b^2*c*d*x^2 - 3*a*b*d^2*x^2 + 6*b^2*c^2*x + 6*a*b*c*d*x + 6*a^2*d^2*x)/(b^3*d^3)","A",0
234,1,79,0,0.822337," ","integrate(x^3/(b*x+a)/(d*x+c),x, algorithm=""giac"")","-\frac{a^{3} \log\left({\left| b x + a \right|}\right)}{b^{4} c - a b^{3} d} + \frac{c^{3} \log\left({\left| d x + c \right|}\right)}{b c d^{3} - a d^{4}} + \frac{b d x^{2} - 2 \, b c x - 2 \, a d x}{2 \, b^{2} d^{2}}"," ",0,"-a^3*log(abs(b*x + a))/(b^4*c - a*b^3*d) + c^3*log(abs(d*x + c))/(b*c*d^3 - a*d^4) + 1/2*(b*d*x^2 - 2*b*c*x - 2*a*d*x)/(b^2*d^2)","A",0
235,1,62,0,0.891256," ","integrate(x^2/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\frac{a^{2} \log\left({\left| b x + a \right|}\right)}{b^{3} c - a b^{2} d} - \frac{c^{2} \log\left({\left| d x + c \right|}\right)}{b c d^{2} - a d^{3}} + \frac{x}{b d}"," ",0,"a^2*log(abs(b*x + a))/(b^3*c - a*b^2*d) - c^2*log(abs(d*x + c))/(b*c*d^2 - a*d^3) + x/(b*d)","A",0
236,1,46,0,1.037196," ","integrate(x/(b*x+a)/(d*x+c),x, algorithm=""giac"")","-\frac{a \log\left({\left| b x + a \right|}\right)}{b^{2} c - a b d} + \frac{c \log\left({\left| d x + c \right|}\right)}{b c d - a d^{2}}"," ",0,"-a*log(abs(b*x + a))/(b^2*c - a*b*d) + c*log(abs(d*x + c))/(b*c*d - a*d^2)","A",0
237,1,46,0,0.937441," ","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
238,1,66,0,0.740644," ","integrate(1/x/(b*x+a)/(d*x+c),x, algorithm=""giac"")","-\frac{b^{2} \log\left({\left| b x + a \right|}\right)}{a b^{2} c - a^{2} b d} + \frac{d^{2} \log\left({\left| d x + c \right|}\right)}{b c^{2} d - a c d^{2}} + \frac{\log\left({\left| x \right|}\right)}{a c}"," ",0,"-b^2*log(abs(b*x + a))/(a*b^2*c - a^2*b*d) + d^2*log(abs(d*x + c))/(b*c^2*d - a*c*d^2) + log(abs(x))/(a*c)","A",0
239,1,89,0,0.881908," ","integrate(1/x^2/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\frac{b^{3} \log\left({\left| b x + a \right|}\right)}{a^{2} b^{2} c - a^{3} b d} - \frac{d^{3} \log\left({\left| d x + c \right|}\right)}{b c^{3} d - a c^{2} d^{2}} - \frac{{\left(b c + a d\right)} \log\left({\left| x \right|}\right)}{a^{2} c^{2}} - \frac{1}{a c x}"," ",0,"b^3*log(abs(b*x + a))/(a^2*b^2*c - a^3*b*d) - d^3*log(abs(d*x + c))/(b*c^3*d - a*c^2*d^2) - (b*c + a*d)*log(abs(x))/(a^2*c^2) - 1/(a*c*x)","A",0
240,1,125,0,0.999927," ","integrate(1/x^3/(b*x+a)/(d*x+c),x, algorithm=""giac"")","-\frac{b^{4} \log\left({\left| b x + a \right|}\right)}{a^{3} b^{2} c - a^{4} b d} + \frac{d^{4} \log\left({\left| d x + c \right|}\right)}{b c^{4} d - a c^{3} d^{2}} + \frac{{\left(b^{2} c^{2} + a b c d + a^{2} d^{2}\right)} \log\left({\left| x \right|}\right)}{a^{3} c^{3}} - \frac{a^{2} c^{2} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} x}{2 \, a^{3} c^{3} x^{2}}"," ",0,"-b^4*log(abs(b*x + a))/(a^3*b^2*c - a^4*b*d) + d^4*log(abs(d*x + c))/(b*c^4*d - a*c^3*d^2) + (b^2*c^2 + a*b*c*d + a^2*d^2)*log(abs(x))/(a^3*c^3) - 1/2*(a^2*c^2 - 2*(a*b*c^2 + a^2*c*d)*x)/(a^3*c^3*x^2)","A",0
241,1,175,0,0.992383," ","integrate(1/x^4/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\frac{b^{5} \log\left({\left| b x + a \right|}\right)}{a^{4} b^{2} c - a^{5} b d} - \frac{d^{5} \log\left({\left| d x + c \right|}\right)}{b c^{5} d - a c^{4} d^{2}} - \frac{{\left(b^{3} c^{3} + a b^{2} c^{2} d + a^{2} b c d^{2} + a^{3} d^{3}\right)} \log\left({\left| x \right|}\right)}{a^{4} c^{4}} - \frac{2 \, a^{3} c^{3} + 6 \, {\left(a b^{2} c^{3} + a^{2} b c^{2} d + a^{3} c d^{2}\right)} x^{2} - 3 \, {\left(a^{2} b c^{3} + a^{3} c^{2} d\right)} x}{6 \, a^{4} c^{4} x^{3}}"," ",0,"b^5*log(abs(b*x + a))/(a^4*b^2*c - a^5*b*d) - d^5*log(abs(d*x + c))/(b*c^5*d - a*c^4*d^2) - (b^3*c^3 + a*b^2*c^2*d + a^2*b*c*d^2 + a^3*d^3)*log(abs(x))/(a^4*c^4) - 1/6*(2*a^3*c^3 + 6*(a*b^2*c^3 + a^2*b*c^2*d + a^3*c*d^2)*x^2 - 3*(a^2*b*c^3 + a^3*c^2*d)*x)/(a^4*c^4*x^3)","A",0
242,1,246,0,0.809258," ","integrate(x^5/(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","-\frac{c^{5} d^{4}}{{\left(b c d^{9} - a d^{10}\right)} {\left(d x + c\right)}} - \frac{a^{5} d \log\left({\left| b - \frac{b c}{d x + c} + \frac{a d}{d x + c} \right|}\right)}{b^{6} c^{2} d - 2 \, a b^{5} c d^{2} + a^{2} b^{4} d^{3}} + \frac{{\left(2 \, b^{3} - \frac{3 \, {\left(4 \, b^{3} c d + a b^{2} d^{2}\right)}}{{\left(d x + c\right)} d} + \frac{6 \, {\left(6 \, b^{3} c^{2} d^{2} + 3 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)}}{{\left(d x + c\right)}^{2} d^{2}}\right)} {\left(d x + c\right)}^{3}}{6 \, b^{4} d^{5}} + \frac{{\left(4 \, b^{3} c^{3} + 3 \, a b^{2} c^{2} d + 2 \, a^{2} b c d^{2} + a^{3} d^{3}\right)} \log\left(\frac{{\left| d x + c \right|}}{{\left(d x + c\right)}^{2} {\left| d \right|}}\right)}{b^{4} d^{5}}"," ",0,"-c^5*d^4/((b*c*d^9 - a*d^10)*(d*x + c)) - a^5*d*log(abs(b - b*c/(d*x + c) + a*d/(d*x + c)))/(b^6*c^2*d - 2*a*b^5*c*d^2 + a^2*b^4*d^3) + 1/6*(2*b^3 - 3*(4*b^3*c*d + a*b^2*d^2)/((d*x + c)*d) + 6*(6*b^3*c^2*d^2 + 3*a*b^2*c*d^3 + a^2*b*d^4)/((d*x + c)^2*d^2))*(d*x + c)^3/(b^4*d^5) + (4*b^3*c^3 + 3*a*b^2*c^2*d + 2*a^2*b*c*d^2 + a^3*d^3)*log(abs(d*x + c)/((d*x + c)^2*abs(d)))/(b^4*d^5)","A",0
243,1,185,0,1.073014," ","integrate(x^4/(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\frac{c^{4} d^{3}}{{\left(b c d^{7} - a d^{8}\right)} {\left(d x + c\right)}} + \frac{a^{4} d \log\left({\left| b - \frac{b c}{d x + c} + \frac{a d}{d x + c} \right|}\right)}{b^{5} c^{2} d - 2 \, a b^{4} c d^{2} + a^{2} b^{3} d^{3}} + \frac{{\left(b^{2} - \frac{2 \, {\left(3 \, b^{2} c d + a b d^{2}\right)}}{{\left(d x + c\right)} d}\right)} {\left(d x + c\right)}^{2}}{2 \, b^{3} d^{4}} - \frac{{\left(3 \, b^{2} c^{2} + 2 \, a b c d + a^{2} d^{2}\right)} \log\left(\frac{{\left| d x + c \right|}}{{\left(d x + c\right)}^{2} {\left| d \right|}}\right)}{b^{3} d^{4}}"," ",0,"c^4*d^3/((b*c*d^7 - a*d^8)*(d*x + c)) + a^4*d*log(abs(b - b*c/(d*x + c) + a*d/(d*x + c)))/(b^5*c^2*d - 2*a*b^4*c*d^2 + a^2*b^3*d^3) + 1/2*(b^2 - 2*(3*b^2*c*d + a*b*d^2)/((d*x + c)*d))*(d*x + c)^2/(b^3*d^4) - (3*b^2*c^2 + 2*a*b*c*d + a^2*d^2)*log(abs(d*x + c)/((d*x + c)^2*abs(d)))/(b^3*d^4)","A",0
244,1,139,0,0.805151," ","integrate(x^3/(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","-\frac{a^{3} d \log\left({\left| b - \frac{b c}{d x + c} + \frac{a d}{d x + c} \right|}\right)}{b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}} - \frac{c^{3} d^{2}}{{\left(b c d^{5} - a d^{6}\right)} {\left(d x + c\right)}} + \frac{d x + c}{b d^{3}} + \frac{{\left(2 \, b c + a d\right)} \log\left(\frac{{\left| d x + c \right|}}{{\left(d x + c\right)}^{2} {\left| d \right|}}\right)}{b^{2} d^{3}}"," ",0,"-a^3*d*log(abs(b - b*c/(d*x + c) + a*d/(d*x + c)))/(b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3) - c^3*d^2/((b*c*d^5 - a*d^6)*(d*x + c)) + (d*x + c)/(b*d^3) + (2*b*c + a*d)*log(abs(d*x + c)/((d*x + c)^2*abs(d)))/(b^2*d^3)","A",0
245,1,114,0,1.033834," ","integrate(x^2/(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\frac{a^{2} d \log\left({\left| b - \frac{b c}{d x + c} + \frac{a d}{d x + c} \right|}\right)}{b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}} + \frac{c^{2} d}{{\left(b c d^{3} - a d^{4}\right)} {\left(d x + c\right)}} - \frac{\log\left(\frac{{\left| d x + c \right|}}{{\left(d x + c\right)}^{2} {\left| d \right|}}\right)}{b d^{2}}"," ",0,"a^2*d*log(abs(b - b*c/(d*x + c) + a*d/(d*x + c)))/(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3) + c^2*d/((b*c*d^3 - a*d^4)*(d*x + c)) - log(abs(d*x + c)/((d*x + c)^2*abs(d)))/(b*d^2)","A",0
246,1,85,0,1.013366," ","integrate(x/(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","-\frac{\frac{a d^{2} \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{c d}{{\left(b c d - a d^{2}\right)} {\left(d x + c\right)}}}{d}"," ",0,"-(a*d^2*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) + c*d/((b*c*d - a*d^2)*(d*x + c)))/d","A",0
247,1,77,0,1.064339," ","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
248,1,282,0,1.058296," ","integrate(1/x/(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","-\frac{1}{2} \, d {\left(\frac{{\left(2 \, b c - a d\right)} \log\left({\left| -b + \frac{2 \, b c}{d x + c} - \frac{b c^{2}}{{\left(d x + c\right)}^{2}} - \frac{a d}{d x + c} + \frac{a c d}{{\left(d x + c\right)}^{2}} \right|}\right)}{b^{2} c^{4} - 2 \, a b c^{3} d + a^{2} c^{2} d^{2}} + \frac{2 \, d^{2}}{{\left(b c^{2} d^{2} - a c d^{3}\right)} {\left(d x + c\right)}} + \frac{{\left(2 \, b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \log\left(\frac{{\left| -2 \, b c d + \frac{2 \, b c^{2} d}{d x + c} + a d^{2} - \frac{2 \, a c d^{2}}{d x + c} - d^{2} {\left| a \right|} \right|}}{{\left| -2 \, b c d + \frac{2 \, b c^{2} d}{d x + c} + a d^{2} - \frac{2 \, a c d^{2}}{d x + c} + d^{2} {\left| a \right|} \right|}}\right)}{{\left(b^{2} c^{4} - 2 \, a b c^{3} d + a^{2} c^{2} d^{2}\right)} d^{2} {\left| a \right|}}\right)}"," ",0,"-1/2*d*((2*b*c - a*d)*log(abs(-b + 2*b*c/(d*x + c) - b*c^2/(d*x + c)^2 - a*d/(d*x + c) + a*c*d/(d*x + c)^2))/(b^2*c^4 - 2*a*b*c^3*d + a^2*c^2*d^2) + 2*d^2/((b*c^2*d^2 - a*c*d^3)*(d*x + c)) + (2*b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*log(abs(-2*b*c*d + 2*b*c^2*d/(d*x + c) + a*d^2 - 2*a*c*d^2/(d*x + c) - d^2*abs(a))/abs(-2*b*c*d + 2*b*c^2*d/(d*x + c) + a*d^2 - 2*a*c*d^2/(d*x + c) + d^2*abs(a)))/((b^2*c^4 - 2*a*b*c^3*d + a^2*c^2*d^2)*d^2*abs(a)))","B",0
249,1,150,0,1.040822," ","integrate(1/x^2/(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\frac{b^{3} d \log\left({\left| b - \frac{b c}{d x + c} + \frac{a d}{d x + c} \right|}\right)}{a^{2} b^{2} c^{2} d - 2 \, a^{3} b c d^{2} + a^{4} d^{3}} + \frac{d^{5}}{{\left(b c^{3} d^{3} - a c^{2} d^{4}\right)} {\left(d x + c\right)}} + \frac{d}{a c^{3} {\left(\frac{c}{d x + c} - 1\right)}} - \frac{{\left(b c d + 2 \, a d^{2}\right)} \log\left({\left| -\frac{c}{d x + c} + 1 \right|}\right)}{a^{2} c^{3} d}"," ",0,"b^3*d*log(abs(b - b*c/(d*x + c) + a*d/(d*x + c)))/(a^2*b^2*c^2*d - 2*a^3*b*c*d^2 + a^4*d^3) + d^5/((b*c^3*d^3 - a*c^2*d^4)*(d*x + c)) + d/(a*c^3*(c/(d*x + c) - 1)) - (b*c*d + 2*a*d^2)*log(abs(-c/(d*x + c) + 1))/(a^2*c^3*d)","A",0
250,1,211,0,0.936356," ","integrate(1/x^3/(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","-\frac{d^{7}}{{\left(b c^{4} d^{4} - a c^{3} d^{5}\right)} {\left(d x + c\right)}} - \frac{b^{4} d \log\left({\left| b - \frac{b c}{d x + c} + \frac{a d}{d x + c} \right|}\right)}{a^{3} b^{2} c^{2} d - 2 \, a^{4} b c d^{2} + a^{5} d^{3}} + \frac{{\left(b^{2} c^{2} d + 2 \, a b c d^{2} + 3 \, a^{2} d^{3}\right)} \log\left({\left| -\frac{c}{d x + c} + 1 \right|}\right)}{a^{3} c^{4} d} + \frac{2 \, a b c d + 5 \, a^{2} d^{2} - \frac{2 \, {\left(a b c^{2} d^{2} + 3 \, a^{2} c d^{3}\right)}}{{\left(d x + c\right)} d}}{2 \, a^{3} c^{4} {\left(\frac{c}{d x + c} - 1\right)}^{2}}"," ",0,"-d^7/((b*c^4*d^4 - a*c^3*d^5)*(d*x + c)) - b^4*d*log(abs(b - b*c/(d*x + c) + a*d/(d*x + c)))/(a^3*b^2*c^2*d - 2*a^4*b*c*d^2 + a^5*d^3) + (b^2*c^2*d + 2*a*b*c*d^2 + 3*a^2*d^3)*log(abs(-c/(d*x + c) + 1))/(a^3*c^4*d) + 1/2*(2*a*b*c*d + 5*a^2*d^2 - 2*(a*b*c^2*d^2 + 3*a^2*c*d^3)/((d*x + c)*d))/(a^3*c^4*(c/(d*x + c) - 1)^2)","A",0
251,1,251,0,1.000146," ","integrate(x^5/(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","-\frac{a^{5} \log\left({\left| b x + a \right|}\right)}{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}} + \frac{{\left(6 \, b^{2} c^{5} - 15 \, a b c^{4} d + 10 \, a^{2} c^{3} d^{2}\right)} \log\left({\left| d x + c \right|}\right)}{b^{3} c^{3} d^{5} - 3 \, a b^{2} c^{2} d^{6} + 3 \, a^{2} b c d^{7} - a^{3} d^{8}} + \frac{b d^{3} x^{2} - 6 \, b c d^{2} x - 2 \, a d^{3} x}{2 \, b^{2} d^{6}} + \frac{7 \, b^{2} c^{7} - 16 \, a b c^{6} d + 9 \, a^{2} c^{5} d^{2} + 2 \, {\left(4 \, b^{2} c^{6} d - 9 \, a b c^{5} d^{2} + 5 \, a^{2} c^{4} d^{3}\right)} x}{2 \, {\left(b c - a d\right)}^{3} {\left(d x + c\right)}^{2} d^{5}}"," ",0,"-a^5*log(abs(b*x + a))/(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) + (6*b^2*c^5 - 15*a*b*c^4*d + 10*a^2*c^3*d^2)*log(abs(d*x + c))/(b^3*c^3*d^5 - 3*a*b^2*c^2*d^6 + 3*a^2*b*c*d^7 - a^3*d^8) + 1/2*(b*d^3*x^2 - 6*b*c*d^2*x - 2*a*d^3*x)/(b^2*d^6) + 1/2*(7*b^2*c^7 - 16*a*b*c^6*d + 9*a^2*c^5*d^2 + 2*(4*b^2*c^6*d - 9*a*b*c^5*d^2 + 5*a^2*c^4*d^3)*x)/((b*c - a*d)^3*(d*x + c)^2*d^5)","A",0
252,1,227,0,1.002422," ","integrate(x^4/(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","\frac{a^{4} \log\left({\left| b x + a \right|}\right)}{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}} - \frac{{\left(3 \, b^{2} c^{4} - 8 \, a b c^{3} d + 6 \, a^{2} c^{2} d^{2}\right)} \log\left({\left| d x + c \right|}\right)}{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}} + \frac{x}{b d^{3}} - \frac{5 \, b^{2} c^{6} - 12 \, a b c^{5} d + 7 \, a^{2} c^{4} d^{2} + 2 \, {\left(3 \, b^{2} c^{5} d - 7 \, a b c^{4} d^{2} + 4 \, a^{2} c^{3} d^{3}\right)} x}{2 \, {\left(b c - a d\right)}^{3} {\left(d x + c\right)}^{2} d^{4}}"," ",0,"a^4*log(abs(b*x + a))/(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) - (3*b^2*c^4 - 8*a*b*c^3*d + 6*a^2*c^2*d^2)*log(abs(d*x + c))/(b^3*c^3*d^4 - 3*a*b^2*c^2*d^5 + 3*a^2*b*c*d^6 - a^3*d^7) + x/(b*d^3) - 1/2*(5*b^2*c^6 - 12*a*b*c^5*d + 7*a^2*c^4*d^2 + 2*(3*b^2*c^5*d - 7*a*b*c^4*d^2 + 4*a^2*c^3*d^3)*x)/((b*c - a*d)^3*(d*x + c)^2*d^4)","A",0
253,1,216,0,1.058664," ","integrate(x^3/(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","-\frac{a^{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{{\left(b^{2} c^{3} - 3 \, a b c^{2} d + 3 \, a^{2} c d^{2}\right)} \log\left({\left| d x + c \right|}\right)}{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}} + \frac{2 \, {\left(2 \, b^{2} c^{4} - 5 \, a b c^{3} d + 3 \, a^{2} c^{2} d^{2}\right)} x + \frac{3 \, b^{2} c^{5} - 8 \, a b c^{4} d + 5 \, a^{2} c^{3} d^{2}}{d}}{2 \, {\left(b c - a d\right)}^{3} {\left(d x + c\right)}^{2} d^{2}}"," ",0,"-a^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*c^3 - 3*a*b*c^2*d + 3*a^2*c*d^2)*log(abs(d*x + c))/(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) + 1/2*(2*(2*b^2*c^4 - 5*a*b*c^3*d + 3*a^2*c^2*d^2)*x + (3*b^2*c^5 - 8*a*b*c^4*d + 5*a^2*c^3*d^2)/d)/((b*c - a*d)^3*(d*x + c)^2*d^2)","A",0
254,1,188,0,0.927500," ","integrate(x^2/(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","\frac{a^{2} b \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{a^{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{b^{2} c^{4} - 4 \, a b c^{3} d + 3 \, a^{2} c^{2} d^{2} + 2 \, {\left(b^{2} c^{3} d - 3 \, a b c^{2} d^{2} + 2 \, a^{2} c d^{3}\right)} x}{2 \, {\left(b c - a d\right)}^{3} {\left(d x + c\right)}^{2} d^{2}}"," ",0,"a^2*b*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) - a^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*(b^2*c^4 - 4*a*b*c^3*d + 3*a^2*c^2*d^2 + 2*(b^2*c^3*d - 3*a*b*c^2*d^2 + 2*a^2*c*d^3)*x)/((b*c - a*d)^3*(d*x + c)^2*d^2)","A",0
255,1,165,0,1.072942," ","integrate(x/(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","-\frac{a b^{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{a b 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{b^{2} c^{3} - a^{2} c d^{2} + 2 \, {\left(a b c d^{2} - a^{2} d^{3}\right)} x}{2 \, {\left(b c - a d\right)}^{3} {\left(d x + c\right)}^{2} d}"," ",0,"-a*b^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) + a*b*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*(b^2*c^3 - a^2*c*d^2 + 2*(a*b*c*d^2 - a^2*d^3)*x)/((b*c - a*d)^3*(d*x + c)^2*d)","A",0
256,1,165,0,0.897510," ","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
257,1,234,0,1.125441," ","integrate(1/x/(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","-\frac{b^{4} \log\left({\left| b x + a \right|}\right)}{a b^{4} c^{3} - 3 \, a^{2} b^{3} c^{2} d + 3 \, a^{3} b^{2} c d^{2} - a^{4} b d^{3}} + \frac{{\left(3 \, b^{2} c^{2} d^{2} - 3 \, a b c d^{3} + a^{2} d^{4}\right)} \log\left({\left| d x + c \right|}\right)}{b^{3} c^{6} d - 3 \, a b^{2} c^{5} d^{2} + 3 \, a^{2} b c^{4} d^{3} - a^{3} c^{3} d^{4}} + \frac{\log\left({\left| x \right|}\right)}{a c^{3}} - \frac{5 \, b^{2} c^{4} d - 8 \, a b c^{3} d^{2} + 3 \, a^{2} c^{2} d^{3} + 2 \, {\left(2 \, b^{2} c^{3} d^{2} - 3 \, a b c^{2} d^{3} + a^{2} c d^{4}\right)} x}{2 \, {\left(b c - a d\right)}^{3} {\left(d x + c\right)}^{2} c^{3}}"," ",0,"-b^4*log(abs(b*x + a))/(a*b^4*c^3 - 3*a^2*b^3*c^2*d + 3*a^3*b^2*c*d^2 - a^4*b*d^3) + (3*b^2*c^2*d^2 - 3*a*b*c*d^3 + a^2*d^4)*log(abs(d*x + c))/(b^3*c^6*d - 3*a*b^2*c^5*d^2 + 3*a^2*b*c^4*d^3 - a^3*c^3*d^4) + log(abs(x))/(a*c^3) - 1/2*(5*b^2*c^4*d - 8*a*b*c^3*d^2 + 3*a^2*c^2*d^3 + 2*(2*b^2*c^3*d^2 - 3*a*b*c^2*d^3 + a^2*c*d^4)*x)/((b*c - a*d)^3*(d*x + c)^2*c^3)","A",0
258,1,335,0,0.981569," ","integrate(1/x^2/(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","\frac{b^{5} \log\left({\left| b x + a \right|}\right)}{a^{2} b^{4} c^{3} - 3 \, a^{3} b^{3} c^{2} d + 3 \, a^{4} b^{2} c d^{2} - a^{5} b d^{3}} - \frac{{\left(6 \, b^{2} c^{2} d^{3} - 8 \, a b c d^{4} + 3 \, a^{2} d^{5}\right)} \log\left({\left| d x + c \right|}\right)}{b^{3} c^{7} d - 3 \, a b^{2} c^{6} d^{2} + 3 \, a^{2} b c^{5} d^{3} - a^{3} c^{4} d^{4}} - \frac{{\left(b c + 3 \, a d\right)} \log\left({\left| x \right|}\right)}{a^{2} c^{4}} - \frac{2 \, a b^{3} c^{6} - 6 \, a^{2} b^{2} c^{5} d + 6 \, a^{3} b c^{4} d^{2} - 2 \, a^{4} c^{3} d^{3} + 2 \, {\left(a b^{3} c^{4} d^{2} - 6 \, a^{2} b^{2} c^{3} d^{3} + 8 \, a^{3} b c^{2} d^{4} - 3 \, a^{4} c d^{5}\right)} x^{2} + {\left(4 \, a b^{3} c^{5} d - 19 \, a^{2} b^{2} c^{4} d^{2} + 24 \, a^{3} b c^{3} d^{3} - 9 \, a^{4} c^{2} d^{4}\right)} x}{2 \, {\left(b c - a d\right)}^{3} {\left(d x + c\right)}^{2} a^{2} c^{4} x}"," ",0,"b^5*log(abs(b*x + a))/(a^2*b^4*c^3 - 3*a^3*b^3*c^2*d + 3*a^4*b^2*c*d^2 - a^5*b*d^3) - (6*b^2*c^2*d^3 - 8*a*b*c*d^4 + 3*a^2*d^5)*log(abs(d*x + c))/(b^3*c^7*d - 3*a*b^2*c^6*d^2 + 3*a^2*b*c^5*d^3 - a^3*c^4*d^4) - (b*c + 3*a*d)*log(abs(x))/(a^2*c^4) - 1/2*(2*a*b^3*c^6 - 6*a^2*b^2*c^5*d + 6*a^3*b*c^4*d^2 - 2*a^4*c^3*d^3 + 2*(a*b^3*c^4*d^2 - 6*a^2*b^2*c^3*d^3 + 8*a^3*b*c^2*d^4 - 3*a^4*c*d^5)*x^2 + (4*a*b^3*c^5*d - 19*a^2*b^2*c^4*d^2 + 24*a^3*b*c^3*d^3 - 9*a^4*c^2*d^4)*x)/((b*c - a*d)^3*(d*x + c)^2*a^2*c^4*x)","B",0
259,1,280,0,1.068799," ","integrate(x^4*(d*x+c)^2/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(6 \, d^{2} + \frac{15 \, {\left(b^{2} c d - 3 \, a b d^{2}\right)}}{{\left(b x + a\right)} b} + \frac{10 \, {\left(b^{4} c^{2} - 10 \, a b^{3} c d + 15 \, a^{2} b^{2} d^{2}\right)}}{{\left(b x + a\right)}^{2} b^{2}} - \frac{60 \, {\left(a b^{5} c^{2} - 5 \, a^{2} b^{4} c d + 5 \, a^{3} b^{3} d^{2}\right)}}{{\left(b x + a\right)}^{3} b^{3}} + \frac{30 \, {\left(6 \, a^{2} b^{6} c^{2} - 20 \, a^{3} b^{5} c d + 15 \, a^{4} b^{4} d^{2}\right)}}{{\left(b x + a\right)}^{4} b^{4}}\right)} {\left(b x + a\right)}^{5}}{30 \, b^{7}} + \frac{2 \, {\left(2 \, a^{3} b^{2} c^{2} - 5 \, a^{4} b c d + 3 \, a^{5} d^{2}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{7}} - \frac{\frac{a^{4} b^{7} c^{2}}{b x + a} - \frac{2 \, a^{5} b^{6} c d}{b x + a} + \frac{a^{6} b^{5} d^{2}}{b x + a}}{b^{12}}"," ",0,"1/30*(6*d^2 + 15*(b^2*c*d - 3*a*b*d^2)/((b*x + a)*b) + 10*(b^4*c^2 - 10*a*b^3*c*d + 15*a^2*b^2*d^2)/((b*x + a)^2*b^2) - 60*(a*b^5*c^2 - 5*a^2*b^4*c*d + 5*a^3*b^3*d^2)/((b*x + a)^3*b^3) + 30*(6*a^2*b^6*c^2 - 20*a^3*b^5*c*d + 15*a^4*b^4*d^2)/((b*x + a)^4*b^4))*(b*x + a)^5/b^7 + 2*(2*a^3*b^2*c^2 - 5*a^4*b*c*d + 3*a^5*d^2)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^7 - (a^4*b^7*c^2/(b*x + a) - 2*a^5*b^6*c*d/(b*x + a) + a^6*b^5*d^2/(b*x + a))/b^12","A",0
260,1,236,0,1.091311," ","integrate(x^3*(d*x+c)^2/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(3 \, d^{2} + \frac{4 \, {\left(2 \, b^{2} c d - 5 \, a b d^{2}\right)}}{{\left(b x + a\right)} b} + \frac{6 \, {\left(b^{4} c^{2} - 8 \, a b^{3} c d + 10 \, a^{2} b^{2} d^{2}\right)}}{{\left(b x + a\right)}^{2} b^{2}} - \frac{12 \, {\left(3 \, a b^{5} c^{2} - 12 \, a^{2} b^{4} c d + 10 \, a^{3} b^{3} d^{2}\right)}}{{\left(b x + a\right)}^{3} b^{3}}\right)} {\left(b x + a\right)}^{4}}{12 \, b^{6}} - \frac{{\left(3 \, a^{2} b^{2} c^{2} - 8 \, a^{3} b c d + 5 \, a^{4} d^{2}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{6}} + \frac{\frac{a^{3} b^{6} c^{2}}{b x + a} - \frac{2 \, a^{4} b^{5} c d}{b x + a} + \frac{a^{5} b^{4} d^{2}}{b x + a}}{b^{10}}"," ",0,"1/12*(3*d^2 + 4*(2*b^2*c*d - 5*a*b*d^2)/((b*x + a)*b) + 6*(b^4*c^2 - 8*a*b^3*c*d + 10*a^2*b^2*d^2)/((b*x + a)^2*b^2) - 12*(3*a*b^5*c^2 - 12*a^2*b^4*c*d + 10*a^3*b^3*d^2)/((b*x + a)^3*b^3))*(b*x + a)^4/b^6 - (3*a^2*b^2*c^2 - 8*a^3*b*c*d + 5*a^4*d^2)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^6 + (a^3*b^6*c^2/(b*x + a) - 2*a^4*b^5*c*d/(b*x + a) + a^5*b^4*d^2/(b*x + a))/b^10","A",0
261,1,188,0,1.210593," ","integrate(x^2*(d*x+c)^2/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(d^{2} + \frac{3 \, {\left(b^{2} c d - 2 \, a b d^{2}\right)}}{{\left(b x + a\right)} b} + \frac{3 \, {\left(b^{4} c^{2} - 6 \, a b^{3} c d + 6 \, a^{2} b^{2} d^{2}\right)}}{{\left(b x + a\right)}^{2} b^{2}}\right)} {\left(b x + a\right)}^{3}}{3 \, b^{5}} + \frac{2 \, {\left(a b^{2} c^{2} - 3 \, a^{2} b c d + 2 \, a^{3} d^{2}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{5}} - \frac{\frac{a^{2} b^{5} c^{2}}{b x + a} - \frac{2 \, a^{3} b^{4} c d}{b x + a} + \frac{a^{4} b^{3} d^{2}}{b x + a}}{b^{8}}"," ",0,"1/3*(d^2 + 3*(b^2*c*d - 2*a*b*d^2)/((b*x + a)*b) + 3*(b^4*c^2 - 6*a*b^3*c*d + 6*a^2*b^2*d^2)/((b*x + a)^2*b^2))*(b*x + a)^3/b^5 + 2*(a*b^2*c^2 - 3*a^2*b*c*d + 2*a^3*d^2)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^5 - (a^2*b^5*c^2/(b*x + a) - 2*a^3*b^4*c*d/(b*x + a) + a^4*b^3*d^2/(b*x + a))/b^8","A",0
262,1,149,0,0.993406," ","integrate(x*(d*x+c)^2/(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{{\left(d^{2} + \frac{2 \, {\left(2 \, b^{2} c d - 3 \, a b d^{2}\right)}}{{\left(b x + a\right)} b}\right)} {\left(b x + a\right)}^{2}}{b^{3}} - \frac{2 \, {\left(b^{2} c^{2} - 4 \, a b c d + 3 \, a^{2} d^{2}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{3}} + \frac{2 \, {\left(\frac{a b^{4} c^{2}}{b x + a} - \frac{2 \, a^{2} b^{3} c d}{b x + a} + \frac{a^{3} b^{2} d^{2}}{b x + a}\right)}}{b^{5}}}{2 \, b}"," ",0,"1/2*((d^2 + 2*(2*b^2*c*d - 3*a*b*d^2)/((b*x + a)*b))*(b*x + a)^2/b^3 - 2*(b^2*c^2 - 4*a*b*c*d + 3*a^2*d^2)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^3 + 2*(a*b^4*c^2/(b*x + a) - 2*a^2*b^3*c*d/(b*x + a) + a^3*b^2*d^2/(b*x + a))/b^5)/b","A",0
263,1,98,0,0.959240," ","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
264,1,108,0,0.990109," ","integrate((d*x+c)^2/x/(b*x+a)^2,x, algorithm=""giac"")","-b {\left(\frac{d^{2} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{3}} - \frac{c^{2} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{2} b} - \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}}{a b^{4}}\right)}"," ",0,"-b*(d^2*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^3 - c^2*log(abs(-a/(b*x + a) + 1))/(a^2*b) - (b^3*c^2/(b*x + a) - 2*a*b^2*c*d/(b*x + a) + a^2*b*d^2/(b*x + a))/(a*b^4))","A",0
265,1,111,0,1.143975," ","integrate((d*x+c)^2/x^2/(b*x+a)^2,x, algorithm=""giac"")","\frac{b c^{2}}{a^{3} {\left(\frac{a}{b x + a} - 1\right)}} - \frac{2 \, {\left(b^{2} c^{2} - a b c d\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{3} b} - \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}}{a^{2} b^{2}}"," ",0,"b*c^2/(a^3*(a/(b*x + a) - 1)) - 2*(b^2*c^2 - a*b*c*d)*log(abs(-a/(b*x + a) + 1))/(a^3*b) - (b^3*c^2/(b*x + a) - 2*a*b^2*c*d/(b*x + a) + a^2*b*d^2/(b*x + a))/(a^2*b^2)","A",0
266,1,166,0,1.017284," ","integrate((d*x+c)^2/x^3/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(3 \, b^{3} c^{2} - 4 \, a b^{2} c d + a^{2} b d^{2}\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{4} b} + \frac{\frac{b^{5} c^{2}}{b x + a} - \frac{2 \, a b^{4} c d}{b x + a} + \frac{a^{2} b^{3} d^{2}}{b x + a}}{a^{3} b^{3}} + \frac{5 \, b^{2} c^{2} - 4 \, a b c d - \frac{2 \, {\left(3 \, a b^{3} c^{2} - 2 \, a^{2} b^{2} c d\right)}}{{\left(b x + a\right)} b}}{2 \, a^{4} {\left(\frac{a}{b x + a} - 1\right)}^{2}}"," ",0,"(3*b^3*c^2 - 4*a*b^2*c*d + a^2*b*d^2)*log(abs(-a/(b*x + a) + 1))/(a^4*b) + (b^5*c^2/(b*x + a) - 2*a*b^4*c*d/(b*x + a) + a^2*b^3*d^2/(b*x + a))/(a^3*b^3) + 1/2*(5*b^2*c^2 - 4*a*b*c*d - 2*(3*a*b^3*c^2 - 2*a^2*b^2*c*d)/((b*x + a)*b))/(a^4*(a/(b*x + a) - 1)^2)","A",0
267,1,236,0,1.136427," ","integrate((d*x+c)^2/x^4/(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(2 \, b^{4} c^{2} - 3 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{5} b} - \frac{\frac{b^{7} c^{2}}{b x + a} - \frac{2 \, a b^{6} c d}{b x + a} + \frac{a^{2} b^{5} d^{2}}{b x + a}}{a^{4} b^{4}} + \frac{13 \, b^{3} c^{2} - 15 \, a b^{2} c d + 3 \, a^{2} b d^{2} - \frac{3 \, {\left(10 \, a b^{4} c^{2} - 11 \, a^{2} b^{3} c d + 2 \, a^{3} b^{2} d^{2}\right)}}{{\left(b x + a\right)} b} + \frac{3 \, {\left(6 \, a^{2} b^{5} c^{2} - 6 \, a^{3} b^{4} c d + a^{4} b^{3} d^{2}\right)}}{{\left(b x + a\right)}^{2} b^{2}}}{3 \, a^{5} {\left(\frac{a}{b x + a} - 1\right)}^{3}}"," ",0,"-2*(2*b^4*c^2 - 3*a*b^3*c*d + a^2*b^2*d^2)*log(abs(-a/(b*x + a) + 1))/(a^5*b) - (b^7*c^2/(b*x + a) - 2*a*b^6*c*d/(b*x + a) + a^2*b^5*d^2/(b*x + a))/(a^4*b^4) + 1/3*(13*b^3*c^2 - 15*a*b^2*c*d + 3*a^2*b*d^2 - 3*(10*a*b^4*c^2 - 11*a^2*b^3*c*d + 2*a^3*b^2*d^2)/((b*x + a)*b) + 3*(6*a^2*b^5*c^2 - 6*a^3*b^4*c*d + a^4*b^3*d^2)/((b*x + a)^2*b^2))/(a^5*(a/(b*x + a) - 1)^3)","A",0
268,1,283,0,1.107106," ","integrate((d*x+c)^2/x^5/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(5 \, b^{5} c^{2} - 8 \, a b^{4} c d + 3 \, a^{2} b^{3} d^{2}\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{6} b} + \frac{\frac{b^{9} c^{2}}{b x + a} - \frac{2 \, a b^{8} c d}{b x + a} + \frac{a^{2} b^{7} d^{2}}{b x + a}}{a^{5} b^{5}} + \frac{77 \, b^{4} c^{2} - 104 \, a b^{3} c d + 30 \, a^{2} b^{2} d^{2} - \frac{4 \, {\left(65 \, a b^{5} c^{2} - 86 \, a^{2} b^{4} c d + 24 \, a^{3} b^{3} d^{2}\right)}}{{\left(b x + a\right)} b} + \frac{6 \, {\left(50 \, a^{2} b^{6} c^{2} - 64 \, a^{3} b^{5} c d + 17 \, a^{4} b^{4} d^{2}\right)}}{{\left(b x + a\right)}^{2} b^{2}} - \frac{12 \, {\left(10 \, a^{3} b^{7} c^{2} - 12 \, a^{4} b^{6} c d + 3 \, a^{5} b^{5} d^{2}\right)}}{{\left(b x + a\right)}^{3} b^{3}}}{12 \, a^{6} {\left(\frac{a}{b x + a} - 1\right)}^{4}}"," ",0,"(5*b^5*c^2 - 8*a*b^4*c*d + 3*a^2*b^3*d^2)*log(abs(-a/(b*x + a) + 1))/(a^6*b) + (b^9*c^2/(b*x + a) - 2*a*b^8*c*d/(b*x + a) + a^2*b^7*d^2/(b*x + a))/(a^5*b^5) + 1/12*(77*b^4*c^2 - 104*a*b^3*c*d + 30*a^2*b^2*d^2 - 4*(65*a*b^5*c^2 - 86*a^2*b^4*c*d + 24*a^3*b^3*d^2)/((b*x + a)*b) + 6*(50*a^2*b^6*c^2 - 64*a^3*b^5*c*d + 17*a^4*b^4*d^2)/((b*x + a)^2*b^2) - 12*(10*a^3*b^7*c^2 - 12*a^4*b^6*c*d + 3*a^5*b^5*d^2)/((b*x + a)^3*b^3))/(a^6*(a/(b*x + a) - 1)^4)","A",0
269,1,403,0,1.024015," ","integrate(x^4*(d*x+c)^3/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(10 \, d^{3} + \frac{12 \, {\left(3 \, b^{2} c d^{2} - 7 \, a b d^{3}\right)}}{{\left(b x + a\right)} b} + \frac{45 \, {\left(b^{4} c^{2} d - 6 \, a b^{3} c d^{2} + 7 \, a^{2} b^{2} d^{3}\right)}}{{\left(b x + a\right)}^{2} b^{2}} + \frac{20 \, {\left(b^{6} c^{3} - 15 \, a b^{5} c^{2} d + 45 \, a^{2} b^{4} c d^{2} - 35 \, a^{3} b^{3} d^{3}\right)}}{{\left(b x + a\right)}^{3} b^{3}} - \frac{30 \, {\left(4 \, a b^{7} c^{3} - 30 \, a^{2} b^{6} c^{2} d + 60 \, a^{3} b^{5} c d^{2} - 35 \, a^{4} b^{4} d^{3}\right)}}{{\left(b x + a\right)}^{4} b^{4}} + \frac{180 \, {\left(2 \, a^{2} b^{8} c^{3} - 10 \, a^{3} b^{7} c^{2} d + 15 \, a^{4} b^{6} c d^{2} - 7 \, a^{5} b^{5} d^{3}\right)}}{{\left(b x + a\right)}^{5} b^{5}}\right)} {\left(b x + a\right)}^{6}}{60 \, b^{8}} + \frac{{\left(4 \, a^{3} b^{3} c^{3} - 15 \, a^{4} b^{2} c^{2} d + 18 \, a^{5} b c d^{2} - 7 \, a^{6} d^{3}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{8}} - \frac{\frac{a^{4} b^{9} c^{3}}{b x + a} - \frac{3 \, a^{5} b^{8} c^{2} d}{b x + a} + \frac{3 \, a^{6} b^{7} c d^{2}}{b x + a} - \frac{a^{7} b^{6} d^{3}}{b x + a}}{b^{14}}"," ",0,"1/60*(10*d^3 + 12*(3*b^2*c*d^2 - 7*a*b*d^3)/((b*x + a)*b) + 45*(b^4*c^2*d - 6*a*b^3*c*d^2 + 7*a^2*b^2*d^3)/((b*x + a)^2*b^2) + 20*(b^6*c^3 - 15*a*b^5*c^2*d + 45*a^2*b^4*c*d^2 - 35*a^3*b^3*d^3)/((b*x + a)^3*b^3) - 30*(4*a*b^7*c^3 - 30*a^2*b^6*c^2*d + 60*a^3*b^5*c*d^2 - 35*a^4*b^4*d^3)/((b*x + a)^4*b^4) + 180*(2*a^2*b^8*c^3 - 10*a^3*b^7*c^2*d + 15*a^4*b^6*c*d^2 - 7*a^5*b^5*d^3)/((b*x + a)^5*b^5))*(b*x + a)^6/b^8 + (4*a^3*b^3*c^3 - 15*a^4*b^2*c^2*d + 18*a^5*b*c*d^2 - 7*a^6*d^3)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^8 - (a^4*b^9*c^3/(b*x + a) - 3*a^5*b^8*c^2*d/(b*x + a) + 3*a^6*b^7*c*d^2/(b*x + a) - a^7*b^6*d^3/(b*x + a))/b^14","B",0
270,1,341,0,1.082808," ","integrate(x^3*(d*x+c)^3/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(4 \, d^{3} + \frac{15 \, {\left(b^{2} c d^{2} - 2 \, a b d^{3}\right)}}{{\left(b x + a\right)} b} + \frac{20 \, {\left(b^{4} c^{2} d - 5 \, a b^{3} c d^{2} + 5 \, a^{2} b^{2} d^{3}\right)}}{{\left(b x + a\right)}^{2} b^{2}} + \frac{10 \, {\left(b^{6} c^{3} - 12 \, a b^{5} c^{2} d + 30 \, a^{2} b^{4} c d^{2} - 20 \, a^{3} b^{3} d^{3}\right)}}{{\left(b x + a\right)}^{3} b^{3}} - \frac{60 \, {\left(a b^{7} c^{3} - 6 \, a^{2} b^{6} c^{2} d + 10 \, a^{3} b^{5} c d^{2} - 5 \, a^{4} b^{4} d^{3}\right)}}{{\left(b x + a\right)}^{4} b^{4}}\right)} {\left(b x + a\right)}^{5}}{20 \, b^{7}} - \frac{3 \, {\left(a^{2} b^{3} c^{3} - 4 \, a^{3} b^{2} c^{2} d + 5 \, a^{4} b c d^{2} - 2 \, a^{5} d^{3}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{7}} + \frac{\frac{a^{3} b^{8} c^{3}}{b x + a} - \frac{3 \, a^{4} b^{7} c^{2} d}{b x + a} + \frac{3 \, a^{5} b^{6} c d^{2}}{b x + a} - \frac{a^{6} b^{5} d^{3}}{b x + a}}{b^{12}}"," ",0,"1/20*(4*d^3 + 15*(b^2*c*d^2 - 2*a*b*d^3)/((b*x + a)*b) + 20*(b^4*c^2*d - 5*a*b^3*c*d^2 + 5*a^2*b^2*d^3)/((b*x + a)^2*b^2) + 10*(b^6*c^3 - 12*a*b^5*c^2*d + 30*a^2*b^4*c*d^2 - 20*a^3*b^3*d^3)/((b*x + a)^3*b^3) - 60*(a*b^7*c^3 - 6*a^2*b^6*c^2*d + 10*a^3*b^5*c*d^2 - 5*a^4*b^4*d^3)/((b*x + a)^4*b^4))*(b*x + a)^5/b^7 - 3*(a^2*b^3*c^3 - 4*a^3*b^2*c^2*d + 5*a^4*b*c*d^2 - 2*a^5*d^3)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^7 + (a^3*b^8*c^3/(b*x + a) - 3*a^4*b^7*c^2*d/(b*x + a) + 3*a^5*b^6*c*d^2/(b*x + a) - a^6*b^5*d^3/(b*x + a))/b^12","B",0
271,1,286,0,1.089163," ","integrate(x^2*(d*x+c)^3/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(3 \, d^{3} + \frac{4 \, {\left(3 \, b^{2} c d^{2} - 5 \, a b d^{3}\right)}}{{\left(b x + a\right)} b} + \frac{6 \, {\left(3 \, b^{4} c^{2} d - 12 \, a b^{3} c d^{2} + 10 \, a^{2} b^{2} d^{3}\right)}}{{\left(b x + a\right)}^{2} b^{2}} + \frac{12 \, {\left(b^{6} c^{3} - 9 \, a b^{5} c^{2} d + 18 \, a^{2} b^{4} c d^{2} - 10 \, a^{3} b^{3} d^{3}\right)}}{{\left(b x + a\right)}^{3} b^{3}}\right)} {\left(b x + a\right)}^{4}}{12 \, b^{6}} + \frac{{\left(2 \, a b^{3} c^{3} - 9 \, a^{2} b^{2} c^{2} d + 12 \, a^{3} b c d^{2} - 5 \, a^{4} d^{3}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{6}} - \frac{\frac{a^{2} b^{7} c^{3}}{b x + a} - \frac{3 \, a^{3} b^{6} c^{2} d}{b x + a} + \frac{3 \, a^{4} b^{5} c d^{2}}{b x + a} - \frac{a^{5} b^{4} d^{3}}{b x + a}}{b^{10}}"," ",0,"1/12*(3*d^3 + 4*(3*b^2*c*d^2 - 5*a*b*d^3)/((b*x + a)*b) + 6*(3*b^4*c^2*d - 12*a*b^3*c*d^2 + 10*a^2*b^2*d^3)/((b*x + a)^2*b^2) + 12*(b^6*c^3 - 9*a*b^5*c^2*d + 18*a^2*b^4*c*d^2 - 10*a^3*b^3*d^3)/((b*x + a)^3*b^3))*(b*x + a)^4/b^6 + (2*a*b^3*c^3 - 9*a^2*b^2*c^2*d + 12*a^3*b*c*d^2 - 5*a^4*d^3)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^6 - (a^2*b^7*c^3/(b*x + a) - 3*a^3*b^6*c^2*d/(b*x + a) + 3*a^4*b^5*c*d^2/(b*x + a) - a^5*b^4*d^3/(b*x + a))/b^10","B",0
272,1,231,0,1.170600," ","integrate(x*(d*x+c)^3/(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{{\left(2 \, d^{3} + \frac{3 \, {\left(3 \, b^{2} c d^{2} - 4 \, a b d^{3}\right)}}{{\left(b x + a\right)} b} + \frac{18 \, {\left(b^{4} c^{2} d - 3 \, a b^{3} c d^{2} + 2 \, a^{2} b^{2} d^{3}\right)}}{{\left(b x + a\right)}^{2} b^{2}}\right)} {\left(b x + a\right)}^{3}}{b^{4}} - \frac{6 \, {\left(b^{3} c^{3} - 6 \, a b^{2} c^{2} d + 9 \, a^{2} b c d^{2} - 4 \, a^{3} d^{3}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{4}} + \frac{6 \, {\left(\frac{a b^{6} c^{3}}{b x + a} - \frac{3 \, a^{2} b^{5} c^{2} d}{b x + a} + \frac{3 \, a^{3} b^{4} c d^{2}}{b x + a} - \frac{a^{4} b^{3} d^{3}}{b x + a}\right)}}{b^{7}}}{6 \, b}"," ",0,"1/6*((2*d^3 + 3*(3*b^2*c*d^2 - 4*a*b*d^3)/((b*x + a)*b) + 18*(b^4*c^2*d - 3*a*b^3*c*d^2 + 2*a^2*b^2*d^3)/((b*x + a)^2*b^2))*(b*x + a)^3/b^4 - 6*(b^3*c^3 - 6*a*b^2*c^2*d + 9*a^2*b*c*d^2 - 4*a^3*d^3)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^4 + 6*(a*b^6*c^3/(b*x + a) - 3*a^2*b^5*c^2*d/(b*x + a) + 3*a^3*b^4*c*d^2/(b*x + a) - a^4*b^3*d^3/(b*x + a))/b^7)/b","B",0
273,1,167,0,1.006566," ","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
274,1,153,0,1.123650," ","integrate((d*x+c)^3/x/(b*x+a)^2,x, algorithm=""giac"")","b {\left(\frac{c^{3} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{2} b} + \frac{{\left(b x + a\right)} d^{3}}{b^{4}} - \frac{{\left(3 \, b c d^{2} - 2 \, a 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}}{a b^{6}}\right)}"," ",0,"b*(c^3*log(abs(-a/(b*x + a) + 1))/(a^2*b) + (b*x + a)*d^3/b^4 - (3*b*c*d^2 - 2*a*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))/(a*b^6))","B",0
275,1,165,0,0.930474," ","integrate((d*x+c)^3/x^2/(b*x+a)^2,x, algorithm=""giac"")","-\frac{d^{3} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{2}} + \frac{b c^{3}}{a^{3} {\left(\frac{a}{b x + a} - 1\right)}} - \frac{{\left(2 \, b^{2} c^{3} - 3 \, a b c^{2} d\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{3} b} - \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}}{a^{2} b^{4}}"," ",0,"-d^3*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^2 + b*c^3/(a^3*(a/(b*x + a) - 1)) - (2*b^2*c^3 - 3*a*b*c^2*d)*log(abs(-a/(b*x + a) + 1))/(a^3*b) - (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))/(a^2*b^4)","A",0
276,1,194,0,1.019169," ","integrate((d*x+c)^3/x^3/(b*x+a)^2,x, algorithm=""giac"")","\frac{3 \, {\left(b^{3} c^{3} - 2 \, a b^{2} c^{2} d + a^{2} b c d^{2}\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{4} b} + \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}}{a^{3} b^{3}} + \frac{5 \, b^{2} c^{3} - 6 \, a b c^{2} d - \frac{6 \, {\left(a b^{3} c^{3} - a^{2} b^{2} c^{2} d\right)}}{{\left(b x + a\right)} b}}{2 \, a^{4} {\left(\frac{a}{b x + a} - 1\right)}^{2}}"," ",0,"3*(b^3*c^3 - 2*a*b^2*c^2*d + a^2*b*c*d^2)*log(abs(-a/(b*x + a) + 1))/(a^4*b) + (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))/(a^3*b^3) + 1/2*(5*b^2*c^3 - 6*a*b*c^2*d - 6*(a*b^3*c^3 - a^2*b^2*c^2*d)/((b*x + a)*b))/(a^4*(a/(b*x + a) - 1)^2)","B",0
277,1,280,0,1.121581," ","integrate((d*x+c)^3/x^4/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(4 \, b^{4} c^{3} - 9 \, a b^{3} c^{2} d + 6 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{5} b} - \frac{\frac{b^{7} c^{3}}{b x + a} - \frac{3 \, a b^{6} c^{2} d}{b x + a} + \frac{3 \, a^{2} b^{5} c d^{2}}{b x + a} - \frac{a^{3} b^{4} d^{3}}{b x + a}}{a^{4} b^{4}} + \frac{26 \, b^{3} c^{3} - 45 \, a b^{2} c^{2} d + 18 \, a^{2} b c d^{2} - \frac{3 \, {\left(20 \, a b^{4} c^{3} - 33 \, a^{2} b^{3} c^{2} d + 12 \, a^{3} b^{2} c d^{2}\right)}}{{\left(b x + a\right)} b} + \frac{18 \, {\left(2 \, a^{2} b^{5} c^{3} - 3 \, a^{3} b^{4} c^{2} d + a^{4} b^{3} c d^{2}\right)}}{{\left(b x + a\right)}^{2} b^{2}}}{6 \, a^{5} {\left(\frac{a}{b x + a} - 1\right)}^{3}}"," ",0,"-(4*b^4*c^3 - 9*a*b^3*c^2*d + 6*a^2*b^2*c*d^2 - a^3*b*d^3)*log(abs(-a/(b*x + a) + 1))/(a^5*b) - (b^7*c^3/(b*x + a) - 3*a*b^6*c^2*d/(b*x + a) + 3*a^2*b^5*c*d^2/(b*x + a) - a^3*b^4*d^3/(b*x + a))/(a^4*b^4) + 1/6*(26*b^3*c^3 - 45*a*b^2*c^2*d + 18*a^2*b*c*d^2 - 3*(20*a*b^4*c^3 - 33*a^2*b^3*c^2*d + 12*a^3*b^2*c*d^2)/((b*x + a)*b) + 18*(2*a^2*b^5*c^3 - 3*a^3*b^4*c^2*d + a^4*b^3*c*d^2)/((b*x + a)^2*b^2))/(a^5*(a/(b*x + a) - 1)^3)","B",0
278,1,373,0,0.936762," ","integrate((d*x+c)^3/x^5/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(5 \, b^{5} c^{3} - 12 \, a b^{4} c^{2} d + 9 \, a^{2} b^{3} c d^{2} - 2 \, a^{3} b^{2} d^{3}\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{6} b} + \frac{\frac{b^{9} c^{3}}{b x + a} - \frac{3 \, a b^{8} c^{2} d}{b x + a} + \frac{3 \, a^{2} b^{7} c d^{2}}{b x + a} - \frac{a^{3} b^{6} d^{3}}{b x + a}}{a^{5} b^{5}} + \frac{77 \, b^{4} c^{3} - 156 \, a b^{3} c^{2} d + 90 \, a^{2} b^{2} c d^{2} - 12 \, a^{3} b d^{3} - \frac{4 \, {\left(65 \, a b^{5} c^{3} - 129 \, a^{2} b^{4} c^{2} d + 72 \, a^{3} b^{3} c d^{2} - 9 \, a^{4} b^{2} d^{3}\right)}}{{\left(b x + a\right)} b} + \frac{6 \, {\left(50 \, a^{2} b^{6} c^{3} - 96 \, a^{3} b^{5} c^{2} d + 51 \, a^{4} b^{4} c d^{2} - 6 \, a^{5} b^{3} d^{3}\right)}}{{\left(b x + a\right)}^{2} b^{2}} - \frac{12 \, {\left(10 \, a^{3} b^{7} c^{3} - 18 \, a^{4} b^{6} c^{2} d + 9 \, a^{5} b^{5} c d^{2} - a^{6} b^{4} d^{3}\right)}}{{\left(b x + a\right)}^{3} b^{3}}}{12 \, a^{6} {\left(\frac{a}{b x + a} - 1\right)}^{4}}"," ",0,"(5*b^5*c^3 - 12*a*b^4*c^2*d + 9*a^2*b^3*c*d^2 - 2*a^3*b^2*d^3)*log(abs(-a/(b*x + a) + 1))/(a^6*b) + (b^9*c^3/(b*x + a) - 3*a*b^8*c^2*d/(b*x + a) + 3*a^2*b^7*c*d^2/(b*x + a) - a^3*b^6*d^3/(b*x + a))/(a^5*b^5) + 1/12*(77*b^4*c^3 - 156*a*b^3*c^2*d + 90*a^2*b^2*c*d^2 - 12*a^3*b*d^3 - 4*(65*a*b^5*c^3 - 129*a^2*b^4*c^2*d + 72*a^3*b^3*c*d^2 - 9*a^4*b^2*d^3)/((b*x + a)*b) + 6*(50*a^2*b^6*c^3 - 96*a^3*b^5*c^2*d + 51*a^4*b^4*c*d^2 - 6*a^5*b^3*d^3)/((b*x + a)^2*b^2) - 12*(10*a^3*b^7*c^3 - 18*a^4*b^6*c^2*d + 9*a^5*b^5*c*d^2 - a^6*b^4*d^3)/((b*x + a)^3*b^3))/(a^6*(a/(b*x + a) - 1)^4)","B",0
279,1,436,0,0.929289," ","integrate((d*x+c)^3/x^6/(b*x+a)^2,x, algorithm=""giac"")","-\frac{3 \, {\left(2 \, b^{6} c^{3} - 5 \, a b^{5} c^{2} d + 4 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{7} b} - \frac{\frac{b^{11} c^{3}}{b x + a} - \frac{3 \, a b^{10} c^{2} d}{b x + a} + \frac{3 \, a^{2} b^{9} c d^{2}}{b x + a} - \frac{a^{3} b^{8} d^{3}}{b x + a}}{a^{6} b^{6}} + \frac{174 \, b^{5} c^{3} - 385 \, a b^{4} c^{2} d + 260 \, a^{2} b^{3} c d^{2} - 50 \, a^{3} b^{2} d^{3} - \frac{5 \, {\left(154 \, a b^{6} c^{3} - 337 \, a^{2} b^{5} c^{2} d + 224 \, a^{3} b^{4} c d^{2} - 42 \, a^{4} b^{3} d^{3}\right)}}{{\left(b x + a\right)} b} + \frac{10 \, {\left(130 \, a^{2} b^{7} c^{3} - 280 \, a^{3} b^{6} c^{2} d + 182 \, a^{4} b^{5} c d^{2} - 33 \, a^{5} b^{4} d^{3}\right)}}{{\left(b x + a\right)}^{2} b^{2}} - \frac{10 \, {\left(100 \, a^{3} b^{8} c^{3} - 210 \, a^{4} b^{7} c^{2} d + 132 \, a^{5} b^{6} c d^{2} - 23 \, a^{6} b^{5} d^{3}\right)}}{{\left(b x + a\right)}^{3} b^{3}} + \frac{60 \, {\left(5 \, a^{4} b^{9} c^{3} - 10 \, a^{5} b^{8} c^{2} d + 6 \, a^{6} b^{7} c d^{2} - a^{7} b^{6} d^{3}\right)}}{{\left(b x + a\right)}^{4} b^{4}}}{20 \, a^{7} {\left(\frac{a}{b x + a} - 1\right)}^{5}}"," ",0,"-3*(2*b^6*c^3 - 5*a*b^5*c^2*d + 4*a^2*b^4*c*d^2 - a^3*b^3*d^3)*log(abs(-a/(b*x + a) + 1))/(a^7*b) - (b^11*c^3/(b*x + a) - 3*a*b^10*c^2*d/(b*x + a) + 3*a^2*b^9*c*d^2/(b*x + a) - a^3*b^8*d^3/(b*x + a))/(a^6*b^6) + 1/20*(174*b^5*c^3 - 385*a*b^4*c^2*d + 260*a^2*b^3*c*d^2 - 50*a^3*b^2*d^3 - 5*(154*a*b^6*c^3 - 337*a^2*b^5*c^2*d + 224*a^3*b^4*c*d^2 - 42*a^4*b^3*d^3)/((b*x + a)*b) + 10*(130*a^2*b^7*c^3 - 280*a^3*b^6*c^2*d + 182*a^4*b^5*c*d^2 - 33*a^5*b^4*d^3)/((b*x + a)^2*b^2) - 10*(100*a^3*b^8*c^3 - 210*a^4*b^7*c^2*d + 132*a^5*b^6*c*d^2 - 23*a^6*b^5*d^3)/((b*x + a)^3*b^3) + 60*(5*a^4*b^9*c^3 - 10*a^5*b^8*c^2*d + 6*a^6*b^7*c*d^2 - a^7*b^6*d^3)/((b*x + a)^4*b^4))/(a^7*(a/(b*x + a) - 1)^5)","B",0
280,1,517,0,1.078434," ","integrate(x^6/(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","-\frac{a^{6} b^{5}}{{\left(b^{12} c^{2} - 2 \, a b^{11} c d + a^{2} b^{10} d^{2}\right)} {\left(b x + a\right)}} - \frac{2 \, {\left(2 \, b^{2} c^{6} - 3 \, a b c^{5} d\right)} \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{4} c^{3} d^{5} - 3 \, a b^{3} c^{2} d^{6} + 3 \, a^{2} b^{2} c d^{7} - a^{3} b d^{8}} + \frac{2 \, {\left(2 \, b^{3} c^{3} + 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} + 2 \, a^{3} d^{3}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{5} d^{5}} + \frac{{\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} - \frac{2 \, b^{5} c^{4} d^{3} + a b^{4} c^{3} d^{4} - 15 \, a^{2} b^{3} c^{2} d^{5} + 19 \, a^{3} b^{2} c d^{6} - 7 \, a^{4} b d^{7}}{{\left(b x + a\right)} b} + \frac{3 \, {\left(2 \, b^{7} c^{5} d^{2} - a b^{6} c^{4} d^{3} - a^{2} b^{5} c^{3} d^{4} - 11 \, a^{3} b^{4} c^{2} d^{5} + 19 \, a^{4} b^{3} c d^{6} - 8 \, a^{5} b^{2} d^{7}\right)}}{{\left(b x + a\right)}^{2} b^{2}} + \frac{3 \, {\left(4 \, b^{9} c^{6} d - 6 \, a b^{8} c^{5} d^{2} + 15 \, a^{4} b^{5} c^{2} d^{5} - 18 \, a^{5} b^{4} c d^{6} + 6 \, a^{6} b^{3} d^{7}\right)}}{{\left(b x + a\right)}^{3} b^{3}}\right)} {\left(b x + a\right)}^{3}}{3 \, {\left(b c - a d\right)}^{3} b^{5} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{5}}"," ",0,"-a^6*b^5/((b^12*c^2 - 2*a*b^11*c*d + a^2*b^10*d^2)*(b*x + a)) - 2*(2*b^2*c^6 - 3*a*b*c^5*d)*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^4*c^3*d^5 - 3*a*b^3*c^2*d^6 + 3*a^2*b^2*c*d^7 - a^3*b*d^8) + 2*(2*b^3*c^3 + 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 + 2*a^3*d^3)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^5*d^5) + 1/3*(b^3*c^3*d^4 - 3*a*b^2*c^2*d^5 + 3*a^2*b*c*d^6 - a^3*d^7 - (2*b^5*c^4*d^3 + a*b^4*c^3*d^4 - 15*a^2*b^3*c^2*d^5 + 19*a^3*b^2*c*d^6 - 7*a^4*b*d^7)/((b*x + a)*b) + 3*(2*b^7*c^5*d^2 - a*b^6*c^4*d^3 - a^2*b^5*c^3*d^4 - 11*a^3*b^4*c^2*d^5 + 19*a^4*b^3*c*d^6 - 8*a^5*b^2*d^7)/((b*x + a)^2*b^2) + 3*(4*b^9*c^6*d - 6*a*b^8*c^5*d^2 + 15*a^4*b^5*c^2*d^5 - 18*a^5*b^4*c*d^6 + 6*a^6*b^3*d^7)/((b*x + a)^3*b^3))*(b*x + a)^3/((b*c - a*d)^3*b^5*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^5)","B",0
281,1,415,0,1.222146," ","integrate(x^5/(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\frac{a^{5} b^{4}}{{\left(b^{10} c^{2} - 2 \, a b^{9} c d + a^{2} b^{8} d^{2}\right)} {\left(b x + a\right)}} + \frac{{\left(3 \, b^{2} c^{5} - 5 \, a b c^{4} d\right)} \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{4} c^{3} d^{4} - 3 \, a b^{3} c^{2} d^{5} + 3 \, a^{2} b^{2} c d^{6} - a^{3} b d^{7}} - \frac{{\left(3 \, b^{2} c^{2} + 4 \, a b c d + 3 \, a^{2} d^{2}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{4} d^{4}} + \frac{{\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} - \frac{3 \, b^{5} c^{4} d^{2} - 2 \, a b^{4} c^{3} d^{3} - 12 \, a^{2} b^{3} c^{2} d^{4} + 18 \, a^{3} b^{2} c d^{5} - 7 \, a^{4} b d^{6}}{{\left(b x + a\right)} b} - \frac{2 \, {\left(3 \, b^{7} c^{5} d - 5 \, a b^{6} c^{4} d^{2} + 10 \, a^{3} b^{4} c^{2} d^{4} - 10 \, a^{4} b^{3} c d^{5} + 3 \, a^{5} b^{2} d^{6}\right)}}{{\left(b x + a\right)}^{2} b^{2}}\right)} {\left(b x + a\right)}^{2}}{2 \, {\left(b c - a d\right)}^{3} b^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{4}}"," ",0,"a^5*b^4/((b^10*c^2 - 2*a*b^9*c*d + a^2*b^8*d^2)*(b*x + a)) + (3*b^2*c^5 - 5*a*b*c^4*d)*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^4*c^3*d^4 - 3*a*b^3*c^2*d^5 + 3*a^2*b^2*c*d^6 - a^3*b*d^7) - (3*b^2*c^2 + 4*a*b*c*d + 3*a^2*d^2)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^4*d^4) + 1/2*(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 - (3*b^5*c^4*d^2 - 2*a*b^4*c^3*d^3 - 12*a^2*b^3*c^2*d^4 + 18*a^3*b^2*c*d^5 - 7*a^4*b*d^6)/((b*x + a)*b) - 2*(3*b^7*c^5*d - 5*a*b^6*c^4*d^2 + 10*a^3*b^4*c^2*d^4 - 10*a^4*b^3*c*d^5 + 3*a^5*b^2*d^6)/((b*x + a)^2*b^2))*(b*x + a)^2/((b*c - a*d)^3*b^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^4)","B",0
282,1,312,0,0.934564," ","integrate(x^4/(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","-\frac{a^{4} b^{3}}{{\left(b^{8} c^{2} - 2 \, a b^{7} c d + a^{2} b^{6} d^{2}\right)} {\left(b x + a\right)}} - \frac{2 \, {\left(b^{2} c^{4} - 2 \, a b c^{3} d\right)} \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{4} c^{3} d^{3} - 3 \, a b^{3} c^{2} d^{4} + 3 \, a^{2} b^{2} c d^{5} - a^{3} b d^{6}} + \frac{2 \, {\left(b c + a d\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{3} d^{3}} + \frac{{\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3} + \frac{2 \, b^{5} c^{4} - 4 \, a b^{4} c^{3} d + 6 \, a^{2} b^{3} c^{2} d^{2} - 4 \, a^{3} b^{2} c d^{3} + a^{4} b d^{4}}{{\left(b c - a d\right)} {\left(b x + a\right)} b}\right)} {\left(b x + a\right)}}{{\left(b c - a d\right)}^{2} b^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d^{2}}"," ",0,"-a^4*b^3/((b^8*c^2 - 2*a*b^7*c*d + a^2*b^6*d^2)*(b*x + a)) - 2*(b^2*c^4 - 2*a*b*c^3*d)*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^4*c^3*d^3 - 3*a*b^3*c^2*d^4 + 3*a^2*b^2*c*d^5 - a^3*b*d^6) + 2*(b*c + a*d)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^3*d^3) + (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3 + (2*b^5*c^4 - 4*a*b^4*c^3*d + 6*a^2*b^3*c^2*d^2 - 4*a^3*b^2*c*d^3 + a^4*b*d^4)/((b*c - a*d)*(b*x + a)*b))*(b*x + a)/((b*c - a*d)^2*b^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d^2)","B",0
283,1,202,0,1.047334," ","integrate(x^3/(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\frac{a^{3} b^{2}}{{\left(b^{6} c^{2} - 2 \, a b^{5} c d + a^{2} b^{4} d^{2}\right)} {\left(b x + a\right)}} + \frac{{\left(b^{2} c^{3} - 3 \, a b c^{2} d\right)} \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{4} c^{3} d^{2} - 3 \, a b^{3} c^{2} d^{3} + 3 \, a^{2} b^{2} c d^{4} - a^{3} b d^{5}} - \frac{b c^{3}}{{\left(b c - a d\right)}^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} d} - \frac{\log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{2} d^{2}}"," ",0,"a^3*b^2/((b^6*c^2 - 2*a*b^5*c*d + a^2*b^4*d^2)*(b*x + a)) + (b^2*c^3 - 3*a*b*c^2*d)*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^4*c^3*d^2 - 3*a*b^3*c^2*d^3 + 3*a^2*b^2*c*d^4 - a^3*b*d^5) - b*c^3/((b*c - a*d)^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)*d) - log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^2*d^2)","A",0
284,1,153,0,0.980064," ","integrate(x^2/(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\frac{2 \, a b c \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{a^{2} b}{{\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 c^{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*a*b*c*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) - a^2*b/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*(b*x + a)) + b*c^2/((b*c - a*d)^3*(b*c/(b*x + a) - a*d/(b*x + a) + d))","A",0
285,1,167,0,0.847541," ","integrate(x/(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\frac{\frac{a 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{{\left(b^{3} c + a b^{2} d\right)} \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^{2} c d}{{\left(b c - a d\right)}^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}}}{b}"," ",0,"(a*b^3/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*(b*x + a)) - (b^3*c + a*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^2*c*d/((b*c - a*d)^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)))/b","A",0
286,1,153,0,0.920317," ","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
287,1,199,0,1.034826," ","integrate(1/x/(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","{\left(\frac{b^{4}}{{\left(a b^{5} c^{2} - 2 \, a^{2} b^{4} c d + a^{3} b^{3} d^{2}\right)} {\left(b x + a\right)}} - \frac{{\left(3 \, b c d^{2} - a d^{3}\right)} \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{4} c^{5} - 3 \, a b^{3} c^{4} d + 3 \, a^{2} b^{2} c^{3} d^{2} - a^{3} b c^{2} d^{3}} - \frac{d^{3}}{{\left(b c - a d\right)}^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c} + \frac{\log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{2} b c^{2}}\right)} b"," ",0,"(b^4/((a*b^5*c^2 - 2*a^2*b^4*c*d + a^3*b^3*d^2)*(b*x + a)) - (3*b*c*d^2 - a*d^3)*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^4*c^5 - 3*a*b^3*c^4*d + 3*a^2*b^2*c^3*d^2 - a^3*b*c^2*d^3) - d^3/((b*c - a*d)^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c) + log(abs(-a/(b*x + a) + 1))/(a^2*b*c^2))*b","A",0
288,1,553,0,1.103648," ","integrate(1/x^2/(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","-\frac{b^{7}}{{\left(a^{2} b^{6} c^{2} - 2 \, a^{3} b^{5} c d + a^{4} b^{4} d^{2}\right)} {\left(b x + a\right)}} - \frac{{\left(b^{4} c - 2 \, a b^{3} d\right)} \log\left({\left| -\frac{b c}{b x + a} + \frac{a b c}{{\left(b x + a\right)}^{2}} + \frac{2 \, a d}{b x + a} - \frac{a^{2} d}{{\left(b x + a\right)}^{2}} - d \right|}\right)}{a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3}} + \frac{{\left(b^{6} c^{4} - 2 \, a b^{5} c^{3} d + 4 \, a^{3} b^{3} c d^{3} - 2 \, a^{4} b^{2} d^{4}\right)} \log\left(\frac{{\left| -\frac{2 \, a b^{2} c}{b x + a} + b^{2} c - 2 \, a b d + \frac{2 \, a^{2} b d}{b x + a} - b^{2} {\left| c \right|} \right|}}{{\left| -\frac{2 \, a b^{2} c}{b x + a} + b^{2} c - 2 \, a b d + \frac{2 \, a^{2} b d}{b x + a} + b^{2} {\left| c \right|} \right|}}\right)}{{\left(a^{3} b^{3} c^{5} - 3 \, a^{4} b^{2} c^{4} d + 3 \, a^{5} b c^{3} d^{2} - a^{6} c^{2} d^{3}\right)} b^{2} {\left| c \right|}} - \frac{\frac{b^{4} c^{3} d - 3 \, a b^{3} c^{2} d^{2} + 3 \, a^{2} b^{2} c d^{3} - 2 \, a^{3} b d^{4}}{a b c - a^{2} d} + \frac{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} + 2 \, a^{4} b^{2} d^{4}}{{\left(a b c - a^{2} d\right)} {\left(b x + a\right)} b}}{{\left(b c - a d\right)}^{2} a^{2} {\left(\frac{b c}{b x + a} - \frac{a b c}{{\left(b x + a\right)}^{2}} - \frac{2 \, a d}{b x + a} + \frac{a^{2} d}{{\left(b x + a\right)}^{2}} + d\right)} c^{2}}"," ",0,"-b^7/((a^2*b^6*c^2 - 2*a^3*b^5*c*d + a^4*b^4*d^2)*(b*x + a)) - (b^4*c - 2*a*b^3*d)*log(abs(-b*c/(b*x + a) + a*b*c/(b*x + a)^2 + 2*a*d/(b*x + a) - a^2*d/(b*x + a)^2 - d))/(a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3) + (b^6*c^4 - 2*a*b^5*c^3*d + 4*a^3*b^3*c*d^3 - 2*a^4*b^2*d^4)*log(abs(-2*a*b^2*c/(b*x + a) + b^2*c - 2*a*b*d + 2*a^2*b*d/(b*x + a) - b^2*abs(c))/abs(-2*a*b^2*c/(b*x + a) + b^2*c - 2*a*b*d + 2*a^2*b*d/(b*x + a) + b^2*abs(c)))/((a^3*b^3*c^5 - 3*a^4*b^2*c^4*d + 3*a^5*b*c^3*d^2 - a^6*c^2*d^3)*b^2*abs(c)) - ((b^4*c^3*d - 3*a*b^3*c^2*d^2 + 3*a^2*b^2*c*d^3 - 2*a^3*b*d^4)/(a*b*c - a^2*d) + (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 + 2*a^4*b^2*d^4)/((a*b*c - a^2*d)*(b*x + a)*b))/((b*c - a*d)^2*a^2*(b*c/(b*x + a) - a*b*c/(b*x + a)^2 - 2*a*d/(b*x + a) + a^2*d/(b*x + a)^2 + d)*c^2)","B",0
289,1,459,0,0.997977," ","integrate(1/x^3/(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\frac{b^{9}}{{\left(a^{3} b^{7} c^{2} - 2 \, a^{4} b^{6} c d + a^{5} b^{5} d^{2}\right)} {\left(b x + a\right)}} - \frac{{\left(5 \, b^{2} c d^{4} - 3 \, a b d^{5}\right)} \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{4} c^{7} - 3 \, a b^{3} c^{6} d + 3 \, a^{2} b^{2} c^{5} d^{2} - a^{3} b c^{4} d^{3}} + \frac{{\left(3 \, b^{3} c^{2} + 4 \, a b^{2} c d + 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{4} b c^{4}} + \frac{5 \, b^{5} c^{5} d - 11 \, a b^{4} c^{4} d^{2} + 3 \, a^{2} b^{3} c^{3} d^{3} + 7 \, a^{3} b^{2} c^{2} d^{4} - 6 \, a^{4} b c d^{5} + \frac{5 \, b^{7} c^{6} - 22 \, a b^{6} c^{5} d + 28 \, a^{2} b^{5} c^{4} d^{2} - 2 \, a^{3} b^{4} c^{3} d^{3} - 17 \, a^{4} b^{3} c^{2} d^{4} + 12 \, a^{5} b^{2} c d^{5}}{{\left(b x + a\right)} b} - \frac{2 \, {\left(3 \, a b^{8} c^{6} - 10 \, a^{2} b^{7} c^{5} d + 10 \, a^{3} b^{6} c^{4} d^{2} - 5 \, a^{5} b^{4} c^{2} d^{4} + 3 \, a^{6} b^{3} c d^{5}\right)}}{{\left(b x + a\right)}^{2} b^{2}}}{2 \, {\left(b c - a d\right)}^{3} a^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)} c^{4} {\left(\frac{a}{b x + a} - 1\right)}^{2}}"," ",0,"b^9/((a^3*b^7*c^2 - 2*a^4*b^6*c*d + a^5*b^5*d^2)*(b*x + a)) - (5*b^2*c*d^4 - 3*a*b*d^5)*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^4*c^7 - 3*a*b^3*c^6*d + 3*a^2*b^2*c^5*d^2 - a^3*b*c^4*d^3) + (3*b^3*c^2 + 4*a*b^2*c*d + 3*a^2*b*d^2)*log(abs(-a/(b*x + a) + 1))/(a^4*b*c^4) + 1/2*(5*b^5*c^5*d - 11*a*b^4*c^4*d^2 + 3*a^2*b^3*c^3*d^3 + 7*a^3*b^2*c^2*d^4 - 6*a^4*b*c*d^5 + (5*b^7*c^6 - 22*a*b^6*c^5*d + 28*a^2*b^5*c^4*d^2 - 2*a^3*b^4*c^3*d^3 - 17*a^4*b^3*c^2*d^4 + 12*a^5*b^2*c*d^5)/((b*x + a)*b) - 2*(3*a*b^8*c^6 - 10*a^2*b^7*c^5*d + 10*a^3*b^6*c^4*d^2 - 5*a^5*b^4*c^2*d^4 + 3*a^6*b^3*c*d^5)/((b*x + a)^2*b^2))/((b*c - a*d)^3*a^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)*c^4*(a/(b*x + a) - 1)^2)","B",0
290,1,744,0,1.136653," ","integrate(x^7/(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{a^{7} b^{6}}{{\left(b^{14} c^{3} - 3 \, a b^{13} c^{2} d + 3 \, a^{2} b^{12} c d^{2} - a^{3} b^{11} d^{3}\right)} {\left(b x + a\right)}} - \frac{{\left(10 \, b^{3} c^{7} - 28 \, a b^{2} c^{6} d + 21 \, a^{2} b c^{5} d^{2}\right)} \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{5} c^{4} d^{6} - 4 \, a b^{4} c^{3} d^{7} + 6 \, a^{2} b^{3} c^{2} d^{8} - 4 \, a^{3} b^{2} c d^{9} + a^{4} b d^{10}} + \frac{{\left(10 \, b^{3} c^{3} + 12 \, a b^{2} c^{2} d + 9 \, a^{2} b c d^{2} + 4 \, a^{3} d^{3}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{5} d^{6}} + \frac{{\left(2 \, b^{4} c^{4} d^{5} - 8 \, a b^{3} c^{3} d^{6} + 12 \, a^{2} b^{2} c^{2} d^{7} - 8 \, a^{3} b c d^{8} + 2 \, a^{4} d^{9} - \frac{5 \, b^{6} c^{5} d^{4} - 4 \, a b^{5} c^{4} d^{5} - 34 \, a^{2} b^{4} c^{3} d^{6} + 76 \, a^{3} b^{3} c^{2} d^{7} - 59 \, a^{4} b^{2} c d^{8} + 16 \, a^{5} b d^{9}}{{\left(b x + a\right)} b} + \frac{2 \, {\left(10 \, b^{8} c^{6} d^{3} - 18 \, a b^{7} c^{5} d^{4} + 3 \, a^{2} b^{6} c^{4} d^{5} - 32 \, a^{3} b^{5} c^{3} d^{6} + 108 \, a^{4} b^{4} c^{2} d^{7} - 102 \, a^{5} b^{3} c d^{8} + 31 \, a^{6} b^{2} d^{9}\right)}}{{\left(b x + a\right)}^{2} b^{2}} + \frac{3 \, {\left(30 \, b^{10} c^{7} d^{2} - 84 \, a b^{9} c^{6} d^{3} + 63 \, a^{2} b^{8} c^{5} d^{4} + 35 \, a^{4} b^{6} c^{3} d^{6} - 126 \, a^{5} b^{5} c^{2} d^{7} + 105 \, a^{6} b^{4} c d^{8} - 28 \, a^{7} b^{3} d^{9}\right)}}{{\left(b x + a\right)}^{3} b^{3}} + \frac{6 \, {\left(10 \, b^{12} c^{8} d - 38 \, a b^{11} c^{7} d^{2} + 49 \, a^{2} b^{10} c^{6} d^{3} - 21 \, a^{3} b^{9} c^{5} d^{4} - 21 \, a^{5} b^{7} c^{3} d^{6} + 42 \, a^{6} b^{6} c^{2} d^{7} - 27 \, a^{7} b^{5} c d^{8} + 6 \, a^{8} b^{4} d^{9}\right)}}{{\left(b x + a\right)}^{4} b^{4}}\right)} {\left(b x + a\right)}^{3}}{6 \, {\left(b c - a d\right)}^{4} b^{5} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d^{6}}"," ",0,"a^7*b^6/((b^14*c^3 - 3*a*b^13*c^2*d + 3*a^2*b^12*c*d^2 - a^3*b^11*d^3)*(b*x + a)) - (10*b^3*c^7 - 28*a*b^2*c^6*d + 21*a^2*b*c^5*d^2)*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^5*c^4*d^6 - 4*a*b^4*c^3*d^7 + 6*a^2*b^3*c^2*d^8 - 4*a^3*b^2*c*d^9 + a^4*b*d^10) + (10*b^3*c^3 + 12*a*b^2*c^2*d + 9*a^2*b*c*d^2 + 4*a^3*d^3)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^5*d^6) + 1/6*(2*b^4*c^4*d^5 - 8*a*b^3*c^3*d^6 + 12*a^2*b^2*c^2*d^7 - 8*a^3*b*c*d^8 + 2*a^4*d^9 - (5*b^6*c^5*d^4 - 4*a*b^5*c^4*d^5 - 34*a^2*b^4*c^3*d^6 + 76*a^3*b^3*c^2*d^7 - 59*a^4*b^2*c*d^8 + 16*a^5*b*d^9)/((b*x + a)*b) + 2*(10*b^8*c^6*d^3 - 18*a*b^7*c^5*d^4 + 3*a^2*b^6*c^4*d^5 - 32*a^3*b^5*c^3*d^6 + 108*a^4*b^4*c^2*d^7 - 102*a^5*b^3*c*d^8 + 31*a^6*b^2*d^9)/((b*x + a)^2*b^2) + 3*(30*b^10*c^7*d^2 - 84*a*b^9*c^6*d^3 + 63*a^2*b^8*c^5*d^4 + 35*a^4*b^6*c^3*d^6 - 126*a^5*b^5*c^2*d^7 + 105*a^6*b^4*c*d^8 - 28*a^7*b^3*d^9)/((b*x + a)^3*b^3) + 6*(10*b^12*c^8*d - 38*a*b^11*c^7*d^2 + 49*a^2*b^10*c^6*d^3 - 21*a^3*b^9*c^5*d^4 - 21*a^5*b^7*c^3*d^6 + 42*a^6*b^6*c^2*d^7 - 27*a^7*b^5*c*d^8 + 6*a^8*b^4*d^9)/((b*x + a)^4*b^4))*(b*x + a)^3/((b*c - a*d)^4*b^5*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d^6)","B",0
291,1,621,0,1.096308," ","integrate(x^6/(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","-\frac{a^{6} b^{5}}{{\left(b^{12} c^{3} - 3 \, a b^{11} c^{2} d + 3 \, a^{2} b^{10} c d^{2} - a^{3} b^{9} d^{3}\right)} {\left(b x + a\right)}} + \frac{3 \, {\left(2 \, b^{3} c^{6} - 6 \, a b^{2} c^{5} d + 5 \, a^{2} b c^{4} d^{2}\right)} \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{5} c^{4} d^{5} - 4 \, a b^{4} c^{3} d^{6} + 6 \, a^{2} b^{3} c^{2} d^{7} - 4 \, a^{3} b^{2} c d^{8} + a^{4} b d^{9}} - \frac{3 \, {\left(2 \, b^{2} c^{2} + 2 \, a b c d + a^{2} d^{2}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{4} d^{5}} + \frac{{\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} - \frac{4 \, {\left(b^{6} c^{5} d^{2} - 2 \, a b^{5} c^{4} d^{3} - 2 \, a^{2} b^{4} c^{3} d^{4} + 8 \, a^{3} b^{3} c^{2} d^{5} - 7 \, a^{4} b^{2} c d^{6} + 2 \, a^{5} b d^{7}\right)}}{{\left(b x + a\right)} b} - \frac{18 \, b^{8} c^{6} d - 54 \, a b^{7} c^{5} d^{2} + 45 \, a^{2} b^{6} c^{4} d^{3} + 20 \, a^{3} b^{5} c^{3} d^{4} - 75 \, a^{4} b^{4} c^{2} d^{5} + 54 \, a^{5} b^{3} c d^{6} - 13 \, a^{6} b^{2} d^{7}}{{\left(b x + a\right)}^{2} b^{2}} - \frac{6 \, {\left(2 \, b^{10} c^{7} - 8 \, a b^{9} c^{6} d + 11 \, a^{2} b^{8} c^{5} d^{2} - 5 \, a^{3} b^{7} c^{4} d^{3} - 5 \, a^{4} b^{6} c^{3} d^{4} + 9 \, a^{5} b^{5} c^{2} d^{5} - 5 \, a^{6} b^{4} c d^{6} + a^{7} b^{3} d^{7}\right)}}{{\left(b x + a\right)}^{3} b^{3}}\right)} {\left(b x + a\right)}^{2}}{2 \, {\left(b c - a d\right)}^{4} b^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d^{4}}"," ",0,"-a^6*b^5/((b^12*c^3 - 3*a*b^11*c^2*d + 3*a^2*b^10*c*d^2 - a^3*b^9*d^3)*(b*x + a)) + 3*(2*b^3*c^6 - 6*a*b^2*c^5*d + 5*a^2*b*c^4*d^2)*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^5*c^4*d^5 - 4*a*b^4*c^3*d^6 + 6*a^2*b^3*c^2*d^7 - 4*a^3*b^2*c*d^8 + a^4*b*d^9) - 3*(2*b^2*c^2 + 2*a*b*c*d + a^2*d^2)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^4*d^5) + 1/2*(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 - 4*(b^6*c^5*d^2 - 2*a*b^5*c^4*d^3 - 2*a^2*b^4*c^3*d^4 + 8*a^3*b^3*c^2*d^5 - 7*a^4*b^2*c*d^6 + 2*a^5*b*d^7)/((b*x + a)*b) - (18*b^8*c^6*d - 54*a*b^7*c^5*d^2 + 45*a^2*b^6*c^4*d^3 + 20*a^3*b^5*c^3*d^4 - 75*a^4*b^4*c^2*d^5 + 54*a^5*b^3*c*d^6 - 13*a^6*b^2*d^7)/((b*x + a)^2*b^2) - 6*(2*b^10*c^7 - 8*a*b^9*c^6*d + 11*a^2*b^8*c^5*d^2 - 5*a^3*b^7*c^4*d^3 - 5*a^4*b^6*c^3*d^4 + 9*a^5*b^5*c^2*d^5 - 5*a^6*b^4*c*d^6 + a^7*b^3*d^7)/((b*x + a)^3*b^3))*(b*x + a)^2/((b*c - a*d)^4*b^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d^4)","B",0
292,1,496,0,1.101831," ","integrate(x^5/(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{a^{5} b^{4}}{{\left(b^{10} c^{3} - 3 \, a b^{9} c^{2} d + 3 \, a^{2} b^{8} c d^{2} - a^{3} b^{7} d^{3}\right)} {\left(b x + a\right)}} - \frac{{\left(3 \, b^{3} c^{5} - 10 \, a b^{2} c^{4} d + 10 \, a^{2} b c^{3} d^{2}\right)} \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{5} c^{4} d^{4} - 4 \, a b^{4} c^{3} d^{5} + 6 \, a^{2} b^{3} c^{2} d^{6} - 4 \, a^{3} b^{2} c d^{7} + a^{4} b d^{8}} + \frac{{\left(3 \, b c + 2 \, a d\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{3} d^{4}} + \frac{{\left(2 \, b^{4} c^{4} d^{3} - 8 \, a b^{3} c^{3} d^{4} + 12 \, a^{2} b^{2} c^{2} d^{5} - 8 \, a^{3} b c d^{6} + 2 \, a^{4} d^{7} + \frac{9 \, b^{6} c^{5} d^{2} - 30 \, a b^{5} c^{4} d^{3} + 40 \, a^{2} b^{4} c^{3} d^{4} - 40 \, a^{3} b^{3} c^{2} d^{5} + 20 \, a^{4} b^{2} c d^{6} - 4 \, a^{5} b d^{7}}{{\left(b x + a\right)} b} + \frac{2 \, {\left(3 \, b^{8} c^{6} d - 13 \, a b^{7} c^{5} d^{2} + 20 \, a^{2} b^{6} c^{4} d^{3} - 20 \, a^{3} b^{5} c^{3} d^{4} + 15 \, a^{4} b^{4} c^{2} d^{5} - 6 \, a^{5} b^{3} c d^{6} + a^{6} b^{2} d^{7}\right)}}{{\left(b x + a\right)}^{2} b^{2}}\right)} {\left(b x + a\right)}}{2 \, {\left(b c - a d\right)}^{4} b^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} d^{4}}"," ",0,"a^5*b^4/((b^10*c^3 - 3*a*b^9*c^2*d + 3*a^2*b^8*c*d^2 - a^3*b^7*d^3)*(b*x + a)) - (3*b^3*c^5 - 10*a*b^2*c^4*d + 10*a^2*b*c^3*d^2)*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^5*c^4*d^4 - 4*a*b^4*c^3*d^5 + 6*a^2*b^3*c^2*d^6 - 4*a^3*b^2*c*d^7 + a^4*b*d^8) + (3*b*c + 2*a*d)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^3*d^4) + 1/2*(2*b^4*c^4*d^3 - 8*a*b^3*c^3*d^4 + 12*a^2*b^2*c^2*d^5 - 8*a^3*b*c*d^6 + 2*a^4*d^7 + (9*b^6*c^5*d^2 - 30*a*b^5*c^4*d^3 + 40*a^2*b^4*c^3*d^4 - 40*a^3*b^3*c^2*d^5 + 20*a^4*b^2*c*d^6 - 4*a^5*b*d^7)/((b*x + a)*b) + 2*(3*b^8*c^6*d - 13*a*b^7*c^5*d^2 + 20*a^2*b^6*c^4*d^3 - 20*a^3*b^5*c^3*d^4 + 15*a^4*b^4*c^2*d^5 - 6*a^5*b^3*c*d^6 + a^6*b^2*d^7)/((b*x + a)^2*b^2))*(b*x + a)/((b*c - a*d)^4*b^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d^4)","B",0
293,1,310,0,0.949172," ","integrate(x^4/(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","-\frac{a^{4} b^{3}}{{\left(b^{8} c^{3} - 3 \, a b^{7} c^{2} d + 3 \, a^{2} b^{6} c d^{2} - a^{3} b^{5} d^{3}\right)} {\left(b x + a\right)}} + \frac{{\left(b^{3} c^{4} - 4 \, a b^{2} c^{3} d + 6 \, a^{2} b c^{2} d^{2}\right)} \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{5} c^{4} d^{3} - 4 \, a b^{4} c^{3} d^{4} + 6 \, a^{2} b^{3} c^{2} d^{5} - 4 \, a^{3} b^{2} c d^{6} + a^{4} b d^{7}} - \frac{\log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{2} d^{3}} - \frac{3 \, b^{2} c^{4} d^{2} - 8 \, a b c^{3} d^{3} + \frac{2 \, {\left(b^{4} c^{5} d - 5 \, a b^{3} c^{4} d^{2} + 4 \, a^{2} b^{2} c^{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} d^{3}}"," ",0,"-a^4*b^3/((b^8*c^3 - 3*a*b^7*c^2*d + 3*a^2*b^6*c*d^2 - a^3*b^5*d^3)*(b*x + a)) + (b^3*c^4 - 4*a*b^2*c^3*d + 6*a^2*b*c^2*d^2)*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^5*c^4*d^3 - 4*a*b^4*c^3*d^4 + 6*a^2*b^3*c^2*d^5 - 4*a^3*b^2*c*d^6 + a^4*b*d^7) - log(abs(b*x + a)/((b*x + a)^2*abs(b)))/(b^2*d^3) - 1/2*(3*b^2*c^4*d^2 - 8*a*b*c^3*d^3 + 2*(b^4*c^5*d - 5*a*b^3*c^4*d^2 + 4*a^2*b^2*c^3*d^3)/((b*x + a)*b))/((b*c - a*d)^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*d^3)","A",0
294,1,230,0,1.093530," ","integrate(x^3/(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","-\frac{3 \, a^{2} b c \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{a^{3} b^{2}}{{\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{b^{2} c^{3} - 6 \, a b c^{2} d - \frac{6 \, {\left(a b^{3} c^{3} - a^{2} b^{2} c^{2} d\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*a^2*b*c*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) + a^3*b^2/((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*(b^2*c^3 - 6*a*b*c^2*d - 6*(a*b^3*c^3 - a^2*b^2*c^2*d)/((b*x + a)*b))/((b*c - a*d)^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2)","A",0
295,1,248,0,0.997770," ","integrate(x^2/(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","-\frac{a^{2} b^{3}}{{\left(b^{6} c^{3} - 3 \, a b^{5} c^{2} d + 3 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} {\left(b x + a\right)}} + \frac{{\left(2 \, a b^{2} c + a^{2} b d\right)} \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^{2} c^{2} d + 4 \, a b c d^{2} + \frac{2 \, {\left(b^{4} c^{3} + a b^{3} c^{2} d - 2 \, a^{2} b^{2} c d^{2}\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,"-a^2*b^3/((b^6*c^3 - 3*a*b^5*c^2*d + 3*a^2*b^4*c*d^2 - a^3*b^3*d^3)*(b*x + a)) + (2*a*b^2*c + a^2*b*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) + 1/2*(b^2*c^2*d + 4*a*b*c*d^2 + 2*(b^4*c^3 + a*b^3*c^2*d - 2*a^2*b^2*c*d^2)/((b*x + a)*b))/((b*c - a*d)^4*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2)","B",0
296,1,255,0,1.087933," ","integrate(x/(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{\frac{2 \, a 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{2 \, {\left(b^{4} c + 2 \, a b^{3} d\right)} \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{3 \, b^{3} c d^{2} + 2 \, a b^{2} d^{3} + \frac{2 \, {\left(2 \, b^{5} c^{2} d - a b^{4} c d^{2} - a^{2} b^{3} d^{3}\right)}}{{\left(b x + a\right)} b}}{{\left(b c - a d\right)}^{4} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2}}}{2 \, b}"," ",0,"1/2*(2*a*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)) - 2*(b^4*c + 2*a*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) - (3*b^3*c*d^2 + 2*a*b^2*d^3 + 2*(2*b^5*c^2*d - a*b^4*c*d^2 - a^2*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","B",0
297,1,217,0,0.971558," ","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
298,1,310,0,1.186927," ","integrate(1/x/(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{2 \, b^{6}}{{\left(a b^{7} c^{3} - 3 \, a^{2} b^{6} c^{2} d + 3 \, a^{3} b^{5} c d^{2} - a^{4} b^{4} d^{3}\right)} {\left(b x + a\right)}} - \frac{2 \, {\left(6 \, b^{2} c^{2} d^{2} - 4 \, a b c d^{3} + a^{2} d^{4}\right)} \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{5} c^{7} - 4 \, a b^{4} c^{6} d + 6 \, a^{2} b^{3} c^{5} d^{2} - 4 \, a^{3} b^{2} c^{4} d^{3} + a^{4} b c^{3} d^{4}} + \frac{2 \, \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{2} b c^{3}} - \frac{7 \, b^{2} c^{2} d^{4} - 2 \, a b c d^{5} + \frac{2 \, {\left(4 \, b^{4} c^{3} d^{3} - 5 \, a b^{3} c^{2} d^{4} + a^{2} b^{2} c d^{5}\right)}}{{\left(b x + a\right)} b}}{{\left(b c - a d\right)}^{4} b {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} c^{3}}\right)} b"," ",0,"1/2*(2*b^6/((a*b^7*c^3 - 3*a^2*b^6*c^2*d + 3*a^3*b^5*c*d^2 - a^4*b^4*d^3)*(b*x + a)) - 2*(6*b^2*c^2*d^2 - 4*a*b*c*d^3 + a^2*d^4)*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^5*c^7 - 4*a*b^4*c^6*d + 6*a^2*b^3*c^5*d^2 - 4*a^3*b^2*c^4*d^3 + a^4*b*c^3*d^4) + 2*log(abs(-a/(b*x + a) + 1))/(a^2*b*c^3) - (7*b^2*c^2*d^4 - 2*a*b*c*d^5 + 2*(4*b^4*c^3*d^3 - 5*a*b^3*c^2*d^4 + a^2*b^2*c*d^5)/((b*x + a)*b))/((b*c - a*d)^4*b*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*c^3))*b","A",0
299,1,517,0,1.149684," ","integrate(1/x^2/(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","-\frac{b^{9}}{{\left(a^{2} b^{8} c^{3} - 3 \, a^{3} b^{7} c^{2} d + 3 \, a^{4} b^{6} c d^{2} - a^{5} b^{5} d^{3}\right)} {\left(b x + a\right)}} + \frac{{\left(10 \, b^{3} c^{2} d^{3} - 10 \, a b^{2} c d^{4} + 3 \, a^{2} b d^{5}\right)} \log\left({\left| \frac{b c}{b x + a} - \frac{a d}{b x + a} + d \right|}\right)}{b^{5} c^{8} - 4 \, a b^{4} c^{7} d + 6 \, a^{2} b^{3} c^{6} d^{2} - 4 \, a^{3} b^{2} c^{5} d^{3} + a^{4} b c^{4} d^{4}} - \frac{{\left(2 \, b^{2} c + 3 \, a b d\right)} \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{3} b c^{4}} + \frac{2 \, b^{5} c^{5} d^{2} - 8 \, a b^{4} c^{4} d^{3} + 12 \, a^{2} b^{3} c^{3} d^{4} - 17 \, a^{3} b^{2} c^{2} d^{5} + 6 \, a^{4} b c d^{6} + \frac{4 \, b^{7} c^{6} d - 20 \, a b^{6} c^{5} d^{2} + 40 \, a^{2} b^{5} c^{4} d^{3} - 50 \, a^{3} b^{4} c^{3} d^{4} + 43 \, a^{4} b^{3} c^{2} d^{5} - 12 \, a^{5} b^{2} c d^{6}}{{\left(b x + a\right)} b} + \frac{2 \, {\left(b^{9} c^{7} - 6 \, a b^{8} c^{6} d + 15 \, a^{2} b^{7} c^{5} d^{2} - 20 \, a^{3} b^{6} c^{4} d^{3} + 20 \, a^{4} b^{5} c^{3} d^{4} - 13 \, a^{5} b^{4} c^{2} d^{5} + 3 \, a^{6} b^{3} c d^{6}\right)}}{{\left(b x + a\right)}^{2} b^{2}}}{2 \, {\left(b c - a d\right)}^{4} a^{3} {\left(\frac{b c}{b x + a} - \frac{a d}{b x + a} + d\right)}^{2} c^{4} {\left(\frac{a}{b x + a} - 1\right)}}"," ",0,"-b^9/((a^2*b^8*c^3 - 3*a^3*b^7*c^2*d + 3*a^4*b^6*c*d^2 - a^5*b^5*d^3)*(b*x + a)) + (10*b^3*c^2*d^3 - 10*a*b^2*c*d^4 + 3*a^2*b*d^5)*log(abs(b*c/(b*x + a) - a*d/(b*x + a) + d))/(b^5*c^8 - 4*a*b^4*c^7*d + 6*a^2*b^3*c^6*d^2 - 4*a^3*b^2*c^5*d^3 + a^4*b*c^4*d^4) - (2*b^2*c + 3*a*b*d)*log(abs(-a/(b*x + a) + 1))/(a^3*b*c^4) + 1/2*(2*b^5*c^5*d^2 - 8*a*b^4*c^4*d^3 + 12*a^2*b^3*c^3*d^4 - 17*a^3*b^2*c^2*d^5 + 6*a^4*b*c*d^6 + (4*b^7*c^6*d - 20*a*b^6*c^5*d^2 + 40*a^2*b^5*c^4*d^3 - 50*a^3*b^4*c^3*d^4 + 43*a^4*b^3*c^2*d^5 - 12*a^5*b^2*c*d^6)/((b*x + a)*b) + 2*(b^9*c^7 - 6*a*b^8*c^6*d + 15*a^2*b^7*c^5*d^2 - 20*a^3*b^6*c^4*d^3 + 20*a^4*b^5*c^3*d^4 - 13*a^5*b^4*c^2*d^5 + 3*a^6*b^3*c*d^6)/((b*x + a)^2*b^2))/((b*c - a*d)^4*a^3*(b*c/(b*x + a) - a*d/(b*x + a) + d)^2*c^4*(a/(b*x + a) - 1))","B",0
300,1,865,0,1.287910," ","integrate(1/x^3/(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{b^{11}}{{\left(a^{3} b^{9} c^{3} - 3 \, a^{4} b^{8} c^{2} d + 3 \, a^{5} b^{7} c d^{2} - a^{6} b^{6} d^{3}\right)} {\left(b x + a\right)}} + \frac{3 \, {\left(b^{6} c - 2 \, a b^{5} d\right)} \log\left({\left| -\frac{b c}{b x + a} + \frac{a b c}{{\left(b x + a\right)}^{2}} + \frac{2 \, a d}{b x + a} - \frac{a^{2} d}{{\left(b x + a\right)}^{2}} - d \right|}\right)}{2 \, {\left(a^{4} b^{4} c^{4} - 4 \, a^{5} b^{3} c^{3} d + 6 \, a^{6} b^{2} c^{2} d^{2} - 4 \, a^{7} b c d^{3} + a^{8} d^{4}\right)}} - \frac{3 \, {\left(b^{8} c^{6} - 2 \, a b^{7} c^{5} d + 10 \, a^{4} b^{4} c^{2} d^{4} - 12 \, a^{5} b^{3} c d^{5} + 4 \, a^{6} b^{2} d^{6}\right)} \log\left(\frac{{\left| -\frac{2 \, a b^{2} c}{b x + a} + b^{2} c - 2 \, a b d + \frac{2 \, a^{2} b d}{b x + a} - b^{2} {\left| c \right|} \right|}}{{\left| -\frac{2 \, a b^{2} c}{b x + a} + b^{2} c - 2 \, a b d + \frac{2 \, a^{2} b d}{b x + a} + b^{2} {\left| c \right|} \right|}}\right)}{2 \, {\left(a^{4} b^{4} c^{8} - 4 \, a^{5} b^{3} c^{7} d + 6 \, a^{6} b^{2} c^{6} d^{2} - 4 \, a^{7} b c^{5} d^{3} + a^{8} c^{4} d^{4}\right)} b^{2} {\left| c \right|}} + \frac{5 \, b^{6} c^{5} d^{2} - 14 \, a b^{5} c^{4} d^{3} + 6 \, a^{2} b^{4} c^{3} d^{4} + 16 \, a^{3} b^{3} c^{2} d^{5} - 30 \, a^{4} b^{2} c d^{6} + 12 \, a^{5} b d^{7} + \frac{2 \, {\left(5 \, b^{8} c^{6} d - 22 \, a b^{7} c^{5} d^{2} + 29 \, a^{2} b^{6} c^{4} d^{3} + 4 \, a^{3} b^{5} c^{3} d^{4} - 47 \, a^{4} b^{4} c^{2} d^{5} + 54 \, a^{5} b^{3} c d^{6} - 18 \, a^{6} b^{2} d^{7}\right)}}{{\left(b x + a\right)} b} + \frac{5 \, b^{10} c^{7} - 36 \, a b^{9} c^{6} d + 87 \, a^{2} b^{8} c^{5} d^{2} - 70 \, a^{3} b^{7} c^{4} d^{3} - 45 \, a^{4} b^{6} c^{3} d^{4} + 144 \, a^{5} b^{5} c^{2} d^{5} - 126 \, a^{6} b^{4} c d^{6} + 36 \, a^{7} b^{3} d^{7}}{{\left(b x + a\right)}^{2} b^{2}} - \frac{6 \, {\left(a b^{11} c^{7} - 5 \, a^{2} b^{10} c^{6} d + 9 \, a^{3} b^{9} c^{5} d^{2} - 5 \, a^{4} b^{8} c^{4} d^{3} - 5 \, a^{5} b^{7} c^{3} d^{4} + 11 \, a^{6} b^{6} c^{2} d^{5} - 8 \, a^{7} b^{5} c d^{6} + 2 \, a^{8} b^{4} d^{7}\right)}}{{\left(b x + a\right)}^{3} b^{3}}}{2 \, {\left(b c - a d\right)}^{4} a^{4} {\left(\frac{b c}{b x + a} - \frac{a b c}{{\left(b x + a\right)}^{2}} - \frac{2 \, a d}{b x + a} + \frac{a^{2} d}{{\left(b x + a\right)}^{2}} + d\right)}^{2} c^{4}}"," ",0,"b^11/((a^3*b^9*c^3 - 3*a^4*b^8*c^2*d + 3*a^5*b^7*c*d^2 - a^6*b^6*d^3)*(b*x + a)) + 3/2*(b^6*c - 2*a*b^5*d)*log(abs(-b*c/(b*x + a) + a*b*c/(b*x + a)^2 + 2*a*d/(b*x + a) - a^2*d/(b*x + a)^2 - d))/(a^4*b^4*c^4 - 4*a^5*b^3*c^3*d + 6*a^6*b^2*c^2*d^2 - 4*a^7*b*c*d^3 + a^8*d^4) - 3/2*(b^8*c^6 - 2*a*b^7*c^5*d + 10*a^4*b^4*c^2*d^4 - 12*a^5*b^3*c*d^5 + 4*a^6*b^2*d^6)*log(abs(-2*a*b^2*c/(b*x + a) + b^2*c - 2*a*b*d + 2*a^2*b*d/(b*x + a) - b^2*abs(c))/abs(-2*a*b^2*c/(b*x + a) + b^2*c - 2*a*b*d + 2*a^2*b*d/(b*x + a) + b^2*abs(c)))/((a^4*b^4*c^8 - 4*a^5*b^3*c^7*d + 6*a^6*b^2*c^6*d^2 - 4*a^7*b*c^5*d^3 + a^8*c^4*d^4)*b^2*abs(c)) + 1/2*(5*b^6*c^5*d^2 - 14*a*b^5*c^4*d^3 + 6*a^2*b^4*c^3*d^4 + 16*a^3*b^3*c^2*d^5 - 30*a^4*b^2*c*d^6 + 12*a^5*b*d^7 + 2*(5*b^8*c^6*d - 22*a*b^7*c^5*d^2 + 29*a^2*b^6*c^4*d^3 + 4*a^3*b^5*c^3*d^4 - 47*a^4*b^4*c^2*d^5 + 54*a^5*b^3*c*d^6 - 18*a^6*b^2*d^7)/((b*x + a)*b) + (5*b^10*c^7 - 36*a*b^9*c^6*d + 87*a^2*b^8*c^5*d^2 - 70*a^3*b^7*c^4*d^3 - 45*a^4*b^6*c^3*d^4 + 144*a^5*b^5*c^2*d^5 - 126*a^6*b^4*c*d^6 + 36*a^7*b^3*d^7)/((b*x + a)^2*b^2) - 6*(a*b^11*c^7 - 5*a^2*b^10*c^6*d + 9*a^3*b^9*c^5*d^2 - 5*a^4*b^8*c^4*d^3 - 5*a^5*b^7*c^3*d^4 + 11*a^6*b^6*c^2*d^5 - 8*a^7*b^5*c*d^6 + 2*a^8*b^4*d^7)/((b*x + a)^3*b^3))/((b*c - a*d)^4*a^4*(b*c/(b*x + a) - a*b*c/(b*x + a)^2 - 2*a*d/(b*x + a) + a^2*d/(b*x + a)^2 + d)^2*c^4)","B",0
301,1,277,0,0.994495," ","integrate(x^3*(d*x+c)^3/(b*x+a)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(a b^{3} c^{3} - 6 \, a^{2} b^{2} c^{2} d + 10 \, a^{3} b c d^{2} - 5 \, a^{4} d^{3}\right)} \log\left({\left| b x + a \right|}\right)}{b^{7}} - \frac{5 \, a^{3} b^{3} c^{3} - 21 \, a^{4} b^{2} c^{2} d + 27 \, a^{5} b c d^{2} - 11 \, a^{6} d^{3} + 6 \, {\left(a^{2} b^{4} c^{3} - 4 \, a^{3} b^{3} c^{2} d + 5 \, a^{4} b^{2} c d^{2} - 2 \, a^{5} b d^{3}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{7}} + \frac{b^{9} d^{3} x^{4} + 4 \, b^{9} c d^{2} x^{3} - 4 \, a b^{8} d^{3} x^{3} + 6 \, b^{9} c^{2} d x^{2} - 18 \, a b^{8} c d^{2} x^{2} + 12 \, a^{2} b^{7} d^{3} x^{2} + 4 \, b^{9} c^{3} x - 36 \, a b^{8} c^{2} d x + 72 \, a^{2} b^{7} c d^{2} x - 40 \, a^{3} b^{6} d^{3} x}{4 \, b^{12}}"," ",0,"-3*(a*b^3*c^3 - 6*a^2*b^2*c^2*d + 10*a^3*b*c*d^2 - 5*a^4*d^3)*log(abs(b*x + a))/b^7 - 1/2*(5*a^3*b^3*c^3 - 21*a^4*b^2*c^2*d + 27*a^5*b*c*d^2 - 11*a^6*d^3 + 6*(a^2*b^4*c^3 - 4*a^3*b^3*c^2*d + 5*a^4*b^2*c*d^2 - 2*a^5*b*d^3)*x)/((b*x + a)^2*b^7) + 1/4*(b^9*d^3*x^4 + 4*b^9*c*d^2*x^3 - 4*a*b^8*d^3*x^3 + 6*b^9*c^2*d*x^2 - 18*a*b^8*c*d^2*x^2 + 12*a^2*b^7*d^3*x^2 + 4*b^9*c^3*x - 36*a*b^8*c^2*d*x + 72*a^2*b^7*c*d^2*x - 40*a^3*b^6*d^3*x)/b^12","A",0
302,1,222,0,1.096935," ","integrate(x^2*(d*x+c)^3/(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(b^{3} c^{3} - 9 \, a b^{2} c^{2} d + 18 \, a^{2} b c d^{2} - 10 \, a^{3} d^{3}\right)} \log\left({\left| b x + a \right|}\right)}{b^{6}} + \frac{3 \, a^{2} b^{3} c^{3} - 15 \, a^{3} b^{2} c^{2} d + 21 \, a^{4} b c d^{2} - 9 \, a^{5} d^{3} + 2 \, {\left(2 \, a b^{4} c^{3} - 9 \, a^{2} b^{3} c^{2} d + 12 \, a^{3} b^{2} c d^{2} - 5 \, a^{4} b d^{3}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{6}} + \frac{2 \, b^{6} d^{3} x^{3} + 9 \, b^{6} c d^{2} x^{2} - 9 \, a b^{5} d^{3} x^{2} + 18 \, b^{6} c^{2} d x - 54 \, a b^{5} c d^{2} x + 36 \, a^{2} b^{4} d^{3} x}{6 \, b^{9}}"," ",0,"(b^3*c^3 - 9*a*b^2*c^2*d + 18*a^2*b*c*d^2 - 10*a^3*d^3)*log(abs(b*x + a))/b^6 + 1/2*(3*a^2*b^3*c^3 - 15*a^3*b^2*c^2*d + 21*a^4*b*c*d^2 - 9*a^5*d^3 + 2*(2*a*b^4*c^3 - 9*a^2*b^3*c^2*d + 12*a^3*b^2*c*d^2 - 5*a^4*b*d^3)*x)/((b*x + a)^2*b^6) + 1/6*(2*b^6*d^3*x^3 + 9*b^6*c*d^2*x^2 - 9*a*b^5*d^3*x^2 + 18*b^6*c^2*d*x - 54*a*b^5*c*d^2*x + 36*a^2*b^4*d^3*x)/b^9","A",0
303,1,167,0,0.937721," ","integrate(x*(d*x+c)^3/(b*x+a)^3,x, algorithm=""giac"")","\frac{3 \, {\left(b^{2} c^{2} d - 3 \, a b c d^{2} + 2 \, a^{2} d^{3}\right)} \log\left({\left| b x + a \right|}\right)}{b^{5}} + \frac{b^{3} d^{3} x^{2} + 6 \, b^{3} c d^{2} x - 6 \, a b^{2} d^{3} x}{2 \, b^{6}} - \frac{a b^{3} c^{3} - 9 \, a^{2} b^{2} c^{2} d + 15 \, a^{3} b c d^{2} - 7 \, a^{4} d^{3} + 2 \, {\left(b^{4} c^{3} - 6 \, a b^{3} c^{2} d + 9 \, a^{2} b^{2} c d^{2} - 4 \, a^{3} b d^{3}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{5}}"," ",0,"3*(b^2*c^2*d - 3*a*b*c*d^2 + 2*a^2*d^3)*log(abs(b*x + a))/b^5 + 1/2*(b^3*d^3*x^2 + 6*b^3*c*d^2*x - 6*a*b^2*d^3*x)/b^6 - 1/2*(a*b^3*c^3 - 9*a^2*b^2*c^2*d + 15*a^3*b*c*d^2 - 7*a^4*d^3 + 2*(b^4*c^3 - 6*a*b^3*c^2*d + 9*a^2*b^2*c*d^2 - 4*a^3*b*d^3)*x)/((b*x + a)^2*b^5)","A",0
304,1,112,0,1.015289," ","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
305,1,133,0,0.956598," ","integrate((d*x+c)^3/x/(b*x+a)^3,x, algorithm=""giac"")","\frac{c^{3} \log\left({\left| x \right|}\right)}{a^{3}} - \frac{{\left(b^{3} c^{3} - a^{3} d^{3}\right)} \log\left({\left| b x + a \right|}\right)}{a^{3} b^{3}} + \frac{2 \, {\left(a b^{3} c^{3} - 3 \, a^{3} b c d^{2} + 2 \, a^{4} d^{3}\right)} x + \frac{3 \, {\left(a^{2} b^{3} c^{3} - a^{3} b^{2} c^{2} d - a^{4} b c d^{2} + a^{5} d^{3}\right)}}{b}}{2 \, {\left(b x + a\right)}^{2} a^{3} b^{2}}"," ",0,"c^3*log(abs(x))/a^3 - (b^3*c^3 - a^3*d^3)*log(abs(b*x + a))/(a^3*b^3) + 1/2*(2*(a*b^3*c^3 - 3*a^3*b*c*d^2 + 2*a^4*d^3)*x + 3*(a^2*b^3*c^3 - a^3*b^2*c^2*d - a^4*b*c*d^2 + a^5*d^3)/b)/((b*x + a)^2*a^3*b^2)","A",0
306,1,161,0,1.118561," ","integrate((d*x+c)^3/x^2/(b*x+a)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(b c^{3} - a c^{2} d\right)} \log\left({\left| x \right|}\right)}{a^{4}} + \frac{3 \, {\left(b^{2} c^{3} - a b c^{2} d\right)} \log\left({\left| b x + a \right|}\right)}{a^{4} b} - \frac{2 \, a^{3} b^{2} c^{3} + 2 \, {\left(3 \, a b^{4} c^{3} - 3 \, a^{2} b^{3} c^{2} d + a^{4} b d^{3}\right)} x^{2} + {\left(9 \, a^{2} b^{3} c^{3} - 9 \, a^{3} b^{2} c^{2} d + 3 \, a^{4} b c d^{2} + a^{5} d^{3}\right)} x}{2 \, {\left(b x + a\right)}^{2} a^{4} b^{2} x}"," ",0,"-3*(b*c^3 - a*c^2*d)*log(abs(x))/a^4 + 3*(b^2*c^3 - a*b*c^2*d)*log(abs(b*x + a))/(a^4*b) - 1/2*(2*a^3*b^2*c^3 + 2*(3*a*b^4*c^3 - 3*a^2*b^3*c^2*d + a^4*b*d^3)*x^2 + (9*a^2*b^3*c^3 - 9*a^3*b^2*c^2*d + 3*a^4*b*c*d^2 + a^5*d^3)*x)/((b*x + a)^2*a^4*b^2*x)","A",0
307,1,219,0,1.026041," ","integrate((d*x+c)^3/x^3/(b*x+a)^3,x, algorithm=""giac"")","\frac{3 \, {\left(2 \, b^{2} c^{3} - 3 \, a b c^{2} d + a^{2} c d^{2}\right)} \log\left({\left| x \right|}\right)}{a^{5}} - \frac{3 \, {\left(2 \, b^{3} c^{3} - 3 \, a b^{2} c^{2} d + a^{2} b c d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{a^{5} b} + \frac{12 \, b^{4} c^{3} x^{3} - 18 \, a b^{3} c^{2} d x^{3} + 6 \, a^{2} b^{2} c d^{2} x^{3} + 18 \, a b^{3} c^{3} x^{2} - 27 \, a^{2} b^{2} c^{2} d x^{2} + 9 \, a^{3} b c d^{2} x^{2} - a^{4} d^{3} x^{2} + 4 \, a^{2} b^{2} c^{3} x - 6 \, a^{3} b c^{2} d x - a^{3} b c^{3}}{2 \, {\left(b x^{2} + a x\right)}^{2} a^{4} b}"," ",0,"3*(2*b^2*c^3 - 3*a*b*c^2*d + a^2*c*d^2)*log(abs(x))/a^5 - 3*(2*b^3*c^3 - 3*a*b^2*c^2*d + a^2*b*c*d^2)*log(abs(b*x + a))/(a^5*b) + 1/2*(12*b^4*c^3*x^3 - 18*a*b^3*c^2*d*x^3 + 6*a^2*b^2*c*d^2*x^3 + 18*a*b^3*c^3*x^2 - 27*a^2*b^2*c^2*d*x^2 + 9*a^3*b*c*d^2*x^2 - a^4*d^3*x^2 + 4*a^2*b^2*c^3*x - 6*a^3*b*c^2*d*x - a^3*b*c^3)/((b*x^2 + a*x)^2*a^4*b)","A",0
308,1,277,0,1.009863," ","integrate((d*x+c)^3/x^4/(b*x+a)^3,x, algorithm=""giac"")","-\frac{{\left(10 \, b^{3} c^{3} - 18 \, a b^{2} c^{2} d + 9 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \log\left({\left| x \right|}\right)}{a^{6}} + \frac{{\left(10 \, b^{4} c^{3} - 18 \, a b^{3} c^{2} d + 9 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} \log\left({\left| b x + a \right|}\right)}{a^{6} b} - \frac{2 \, a^{5} c^{3} + 6 \, {\left(10 \, a b^{4} c^{3} - 18 \, a^{2} b^{3} c^{2} d + 9 \, a^{3} b^{2} c d^{2} - a^{4} b d^{3}\right)} x^{4} + 9 \, {\left(10 \, a^{2} b^{3} c^{3} - 18 \, a^{3} b^{2} c^{2} d + 9 \, a^{4} b c d^{2} - a^{5} d^{3}\right)} x^{3} + 2 \, {\left(10 \, a^{3} b^{2} c^{3} - 18 \, a^{4} b c^{2} d + 9 \, a^{5} c d^{2}\right)} x^{2} - {\left(5 \, a^{4} b c^{3} - 9 \, a^{5} c^{2} d\right)} x}{6 \, {\left(b x + a\right)}^{2} a^{6} x^{3}}"," ",0,"-(10*b^3*c^3 - 18*a*b^2*c^2*d + 9*a^2*b*c*d^2 - a^3*d^3)*log(abs(x))/a^6 + (10*b^4*c^3 - 18*a*b^3*c^2*d + 9*a^2*b^2*c*d^2 - a^3*b*d^3)*log(abs(b*x + a))/(a^6*b) - 1/6*(2*a^5*c^3 + 6*(10*a*b^4*c^3 - 18*a^2*b^3*c^2*d + 9*a^3*b^2*c*d^2 - a^4*b*d^3)*x^4 + 9*(10*a^2*b^3*c^3 - 18*a^3*b^2*c^2*d + 9*a^4*b*c*d^2 - a^5*d^3)*x^3 + 2*(10*a^3*b^2*c^3 - 18*a^4*b*c^2*d + 9*a^5*c*d^2)*x^2 - (5*a^4*b*c^3 - 9*a^5*c^2*d)*x)/((b*x + a)^2*a^6*x^3)","A",0
309,1,526,0,1.620212," ","integrate(x^7/(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(7 \, a^{5} b^{2} c^{2} - 7 \, a^{6} b c d + 2 \, a^{7} d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{b^{10} c^{5} - 5 \, a b^{9} c^{4} d + 10 \, a^{2} b^{8} c^{3} d^{2} - 10 \, a^{3} b^{7} c^{2} d^{3} + 5 \, a^{4} b^{6} c d^{4} - a^{5} b^{5} d^{5}} + \frac{3 \, {\left(2 \, b^{2} c^{7} - 7 \, a b c^{6} d + 7 \, a^{2} c^{5} d^{2}\right)} \log\left({\left| d x + c \right|}\right)}{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}} + \frac{b^{3} d^{3} x^{2} - 6 \, b^{3} c d^{2} x - 6 \, a b^{2} d^{3} x}{2 \, b^{6} d^{6}} + \frac{7 \, a^{2} b^{6} c^{8} - 13 \, a^{3} b^{5} c^{7} d - 13 \, a^{7} b c^{3} d^{5} + 7 \, a^{8} c^{2} d^{6} + 2 \, {\left(4 \, b^{8} c^{7} d - 7 \, a b^{7} c^{6} d^{2} - 7 \, a^{6} b^{2} c d^{7} + 4 \, a^{7} b d^{8}\right)} x^{3} + {\left(7 \, b^{8} c^{8} + 3 \, a b^{7} c^{7} d - 28 \, a^{2} b^{6} c^{6} d^{2} - 28 \, a^{6} b^{2} c^{2} d^{6} + 3 \, a^{7} b c d^{7} + 7 \, a^{8} d^{8}\right)} x^{2} + 2 \, {\left(7 \, a b^{7} c^{8} - 9 \, a^{2} b^{6} c^{7} d - 7 \, a^{3} b^{5} c^{6} d^{2} - 7 \, a^{6} b^{2} c^{3} d^{5} - 9 \, a^{7} b c^{2} d^{6} + 7 \, a^{8} c d^{7}\right)} x}{2 \, {\left(b c - a d\right)}^{4} {\left(b x + a\right)}^{2} {\left(d x + c\right)}^{2} b^{5} d^{5}}"," ",0,"-3*(7*a^5*b^2*c^2 - 7*a^6*b*c*d + 2*a^7*d^2)*log(abs(b*x + a))/(b^10*c^5 - 5*a*b^9*c^4*d + 10*a^2*b^8*c^3*d^2 - 10*a^3*b^7*c^2*d^3 + 5*a^4*b^6*c*d^4 - a^5*b^5*d^5) + 3*(2*b^2*c^7 - 7*a*b*c^6*d + 7*a^2*c^5*d^2)*log(abs(d*x + c))/(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) + 1/2*(b^3*d^3*x^2 - 6*b^3*c*d^2*x - 6*a*b^2*d^3*x)/(b^6*d^6) + 1/2*(7*a^2*b^6*c^8 - 13*a^3*b^5*c^7*d - 13*a^7*b*c^3*d^5 + 7*a^8*c^2*d^6 + 2*(4*b^8*c^7*d - 7*a*b^7*c^6*d^2 - 7*a^6*b^2*c*d^7 + 4*a^7*b*d^8)*x^3 + (7*b^8*c^8 + 3*a*b^7*c^7*d - 28*a^2*b^6*c^6*d^2 - 28*a^6*b^2*c^2*d^6 + 3*a^7*b*c*d^7 + 7*a^8*d^8)*x^2 + 2*(7*a*b^7*c^8 - 9*a^2*b^6*c^7*d - 7*a^3*b^5*c^6*d^2 - 7*a^6*b^2*c^3*d^5 - 9*a^7*b*c^2*d^6 + 7*a^8*c*d^7)*x)/((b*c - a*d)^4*(b*x + a)^2*(d*x + c)^2*b^5*d^5)","B",0
310,1,489,0,1.374064," ","integrate(x^6/(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","\frac{3 \, {\left(5 \, a^{4} b^{2} c^{2} - 4 \, a^{5} b c d + a^{6} d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{b^{9} c^{5} - 5 \, a b^{8} c^{4} d + 10 \, a^{2} b^{7} c^{3} d^{2} - 10 \, a^{3} b^{6} c^{2} d^{3} + 5 \, a^{4} b^{5} c d^{4} - a^{5} b^{4} d^{5}} - \frac{3 \, {\left(b^{2} c^{6} - 4 \, a b c^{5} d + 5 \, a^{2} c^{4} d^{2}\right)} \log\left({\left| d x + c \right|}\right)}{b^{5} c^{5} d^{4} - 5 \, a b^{4} c^{4} d^{5} + 10 \, a^{2} b^{3} c^{3} d^{6} - 10 \, a^{3} b^{2} c^{2} d^{7} + 5 \, a^{4} b c d^{8} - a^{5} d^{9}} + \frac{x}{b^{3} d^{3}} - \frac{5 \, a^{2} b^{5} c^{7} - 11 \, a^{3} b^{4} c^{6} d - 11 \, a^{6} b c^{3} d^{4} + 5 \, a^{7} c^{2} d^{5} + 6 \, {\left(b^{7} c^{6} d - 2 \, a b^{6} c^{5} d^{2} - 2 \, a^{5} b^{2} c d^{6} + a^{6} b d^{7}\right)} x^{3} + {\left(5 \, b^{7} c^{7} + a b^{6} c^{6} d - 24 \, a^{2} b^{5} c^{5} d^{2} - 24 \, a^{5} b^{2} c^{2} d^{5} + a^{6} b c d^{6} + 5 \, a^{7} d^{7}\right)} x^{2} + 2 \, {\left(5 \, a b^{6} c^{7} - 8 \, a^{2} b^{5} c^{6} d - 6 \, a^{3} b^{4} c^{5} d^{2} - 6 \, a^{5} b^{2} c^{3} d^{4} - 8 \, a^{6} b c^{2} d^{5} + 5 \, a^{7} c d^{6}\right)} x}{2 \, {\left(b c - a d\right)}^{4} {\left(b x + a\right)}^{2} {\left(d x + c\right)}^{2} b^{4} d^{4}}"," ",0,"3*(5*a^4*b^2*c^2 - 4*a^5*b*c*d + a^6*d^2)*log(abs(b*x + a))/(b^9*c^5 - 5*a*b^8*c^4*d + 10*a^2*b^7*c^3*d^2 - 10*a^3*b^6*c^2*d^3 + 5*a^4*b^5*c*d^4 - a^5*b^4*d^5) - 3*(b^2*c^6 - 4*a*b*c^5*d + 5*a^2*c^4*d^2)*log(abs(d*x + c))/(b^5*c^5*d^4 - 5*a*b^4*c^4*d^5 + 10*a^2*b^3*c^3*d^6 - 10*a^3*b^2*c^2*d^7 + 5*a^4*b*c*d^8 - a^5*d^9) + x/(b^3*d^3) - 1/2*(5*a^2*b^5*c^7 - 11*a^3*b^4*c^6*d - 11*a^6*b*c^3*d^4 + 5*a^7*c^2*d^5 + 6*(b^7*c^6*d - 2*a*b^6*c^5*d^2 - 2*a^5*b^2*c*d^6 + a^6*b*d^7)*x^3 + (5*b^7*c^7 + a*b^6*c^6*d - 24*a^2*b^5*c^5*d^2 - 24*a^5*b^2*c^2*d^5 + a^6*b*c*d^6 + 5*a^7*d^7)*x^2 + 2*(5*a*b^6*c^7 - 8*a^2*b^5*c^6*d - 6*a^3*b^4*c^5*d^2 - 6*a^5*b^2*c^3*d^4 - 8*a^6*b*c^2*d^5 + 5*a^7*c*d^6)*x)/((b*c - a*d)^4*(b*x + a)^2*(d*x + c)^2*b^4*d^4)","B",0
311,1,484,0,0.967062," ","integrate(x^5/(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","-\frac{{\left(10 \, a^{3} b^{2} c^{2} - 5 \, a^{4} b c d + a^{5} d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{b^{8} c^{5} - 5 \, a b^{7} c^{4} d + 10 \, a^{2} b^{6} c^{3} d^{2} - 10 \, a^{3} b^{5} c^{2} d^{3} + 5 \, a^{4} b^{4} c d^{4} - a^{5} b^{3} d^{5}} + \frac{{\left(b^{2} c^{5} - 5 \, a b c^{4} d + 10 \, a^{2} c^{3} d^{2}\right)} \log\left({\left| d x + c \right|}\right)}{b^{5} c^{5} d^{3} - 5 \, a b^{4} c^{4} d^{4} + 10 \, a^{2} b^{3} c^{3} d^{5} - 10 \, a^{3} b^{2} c^{2} d^{6} + 5 \, a^{4} b c d^{7} - a^{5} d^{8}} + \frac{3 \, a^{2} b^{4} c^{6} - 9 \, a^{3} b^{3} c^{5} d - 9 \, a^{5} b c^{3} d^{3} + 3 \, a^{6} c^{2} d^{4} + 2 \, {\left(2 \, b^{6} c^{5} d - 5 \, a b^{5} c^{4} d^{2} - 5 \, a^{4} b^{2} c d^{5} + 2 \, a^{5} b d^{6}\right)} x^{3} + {\left(3 \, b^{6} c^{6} - a b^{5} c^{5} d - 20 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{4} b^{2} c^{2} d^{4} - a^{5} b c d^{5} + 3 \, a^{6} d^{6}\right)} x^{2} + 2 \, {\left(3 \, a b^{5} c^{6} - 7 \, a^{2} b^{4} c^{5} d - 5 \, a^{3} b^{3} c^{4} d^{2} - 5 \, a^{4} b^{2} c^{3} d^{3} - 7 \, a^{5} b c^{2} d^{4} + 3 \, a^{6} c d^{5}\right)} x}{2 \, {\left(b c - a d\right)}^{4} {\left(b x + a\right)}^{2} {\left(d x + c\right)}^{2} b^{3} d^{3}}"," ",0,"-(10*a^3*b^2*c^2 - 5*a^4*b*c*d + a^5*d^2)*log(abs(b*x + a))/(b^8*c^5 - 5*a*b^7*c^4*d + 10*a^2*b^6*c^3*d^2 - 10*a^3*b^5*c^2*d^3 + 5*a^4*b^4*c*d^4 - a^5*b^3*d^5) + (b^2*c^5 - 5*a*b*c^4*d + 10*a^2*c^3*d^2)*log(abs(d*x + c))/(b^5*c^5*d^3 - 5*a*b^4*c^4*d^4 + 10*a^2*b^3*c^3*d^5 - 10*a^3*b^2*c^2*d^6 + 5*a^4*b*c*d^7 - a^5*d^8) + 1/2*(3*a^2*b^4*c^6 - 9*a^3*b^3*c^5*d - 9*a^5*b*c^3*d^3 + 3*a^6*c^2*d^4 + 2*(2*b^6*c^5*d - 5*a*b^5*c^4*d^2 - 5*a^4*b^2*c*d^5 + 2*a^5*b*d^6)*x^3 + (3*b^6*c^6 - a*b^5*c^5*d - 20*a^2*b^4*c^4*d^2 - 20*a^4*b^2*c^2*d^4 - a^5*b*c*d^5 + 3*a^6*d^6)*x^2 + 2*(3*a*b^5*c^6 - 7*a^2*b^4*c^5*d - 5*a^3*b^3*c^4*d^2 - 5*a^4*b^2*c^3*d^3 - 7*a^5*b*c^2*d^4 + 3*a^6*c*d^5)*x)/((b*c - a*d)^4*(b*x + a)^2*(d*x + c)^2*b^3*d^3)","B",0
312,1,494,0,1.097503," ","integrate(x^4/(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","\frac{6 \, a^{2} b c^{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 \, a^{2} c^{2} d \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{2 \, b^{5} c^{4} d x^{3} - 8 \, a b^{4} c^{3} d^{2} x^{3} - 8 \, a^{3} b^{2} c d^{4} x^{3} + 2 \, a^{4} b d^{5} x^{3} + b^{5} c^{5} x^{2} - 3 \, a b^{4} c^{4} d x^{2} - 16 \, a^{2} b^{3} c^{3} d^{2} x^{2} - 16 \, a^{3} b^{2} c^{2} d^{3} x^{2} - 3 \, a^{4} b c d^{4} x^{2} + a^{5} d^{5} x^{2} + 2 \, a b^{4} c^{5} x - 12 \, a^{2} b^{3} c^{4} d x - 16 \, a^{3} b^{2} c^{3} d^{2} x - 12 \, a^{4} b c^{2} d^{3} x + 2 \, a^{5} c d^{4} x + a^{2} b^{3} c^{5} - 7 \, a^{3} b^{2} c^{4} d - 7 \, a^{4} b c^{3} d^{2} + a^{5} c^{2} d^{3}}{2 \, {\left(b^{6} c^{4} d^{2} - 4 \, a b^{5} c^{3} d^{3} + 6 \, a^{2} b^{4} c^{2} d^{4} - 4 \, a^{3} b^{3} c d^{5} + a^{4} b^{2} d^{6}\right)} {\left(b d x^{2} + b c x + a d x + a c\right)}^{2}}"," ",0,"6*a^2*b*c^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*a^2*c^2*d*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*(2*b^5*c^4*d*x^3 - 8*a*b^4*c^3*d^2*x^3 - 8*a^3*b^2*c*d^4*x^3 + 2*a^4*b*d^5*x^3 + b^5*c^5*x^2 - 3*a*b^4*c^4*d*x^2 - 16*a^2*b^3*c^3*d^2*x^2 - 16*a^3*b^2*c^2*d^3*x^2 - 3*a^4*b*c*d^4*x^2 + a^5*d^5*x^2 + 2*a*b^4*c^5*x - 12*a^2*b^3*c^4*d*x - 16*a^3*b^2*c^3*d^2*x - 12*a^4*b*c^2*d^3*x + 2*a^5*c*d^4*x + a^2*b^3*c^5 - 7*a^3*b^2*c^4*d - 7*a^4*b*c^3*d^2 + a^5*c^2*d^3)/((b^6*c^4*d^2 - 4*a*b^5*c^3*d^3 + 6*a^2*b^4*c^2*d^4 - 4*a^3*b^3*c*d^5 + a^4*b^2*d^6)*(b*d*x^2 + b*c*x + a*d*x + a*c)^2)","B",0
313,1,438,0,1.228161," ","integrate(x^3/(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(a b^{2} c^{2} + a^{2} b c d\right)} \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{3 \, {\left(a b c^{2} d + a^{2} c d^{2}\right)} \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{6 \, a b^{3} c^{2} d^{2} x^{3} + 6 \, a^{2} b^{2} c d^{3} x^{3} + b^{4} c^{4} x^{2} + 5 \, a b^{3} c^{3} d x^{2} + 24 \, a^{2} b^{2} c^{2} d^{2} x^{2} + 5 \, a^{3} b c d^{3} x^{2} + a^{4} d^{4} x^{2} + 2 \, a b^{3} c^{4} x + 16 \, a^{2} b^{2} c^{3} d x + 16 \, a^{3} b c^{2} d^{2} x + 2 \, a^{4} c d^{3} x + a^{2} b^{2} c^{4} + 10 \, a^{3} b c^{3} d + a^{4} c^{2} d^{2}}{2 \, {\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)} {\left(b d x^{2} + b c x + a d x + a c\right)}^{2}}"," ",0,"-3*(a*b^2*c^2 + a^2*b*c*d)*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) + 3*(a*b*c^2*d + a^2*c*d^2)*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*(6*a*b^3*c^2*d^2*x^3 + 6*a^2*b^2*c*d^3*x^3 + b^4*c^4*x^2 + 5*a*b^3*c^3*d*x^2 + 24*a^2*b^2*c^2*d^2*x^2 + 5*a^3*b*c*d^3*x^2 + a^4*d^4*x^2 + 2*a*b^3*c^4*x + 16*a^2*b^2*c^3*d*x + 16*a^3*b*c^2*d^2*x + 2*a^4*c*d^3*x + a^2*b^2*c^4 + 10*a^3*b*c^3*d + a^4*c^2*d^2)/((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)*(b*d*x^2 + b*c*x + a*d*x + a*c)^2)","B",0
314,1,412,0,0.782106," ","integrate(x^2/(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","\frac{{\left(b^{3} c^{2} + 4 \, a b^{2} c d + a^{2} b d^{2}\right)} \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{{\left(b^{2} c^{2} d + 4 \, a b c d^{2} + a^{2} d^{3}\right)} \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{2 \, b^{3} c^{2} d x^{3} + 8 \, a b^{2} c d^{2} x^{3} + 2 \, a^{2} b d^{3} x^{3} + 3 \, b^{3} c^{3} x^{2} + 15 \, a b^{2} c^{2} d x^{2} + 15 \, a^{2} b c d^{2} x^{2} + 3 \, a^{3} d^{3} x^{2} + 10 \, a b^{2} c^{3} x + 16 \, a^{2} b c^{2} d x + 10 \, a^{3} c d^{2} x + 6 \, a^{2} b c^{3} + 6 \, a^{3} c^{2} d}{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,"(b^3*c^2 + 4*a*b^2*c*d + a^2*b*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) - (b^2*c^2*d + 4*a*b*c*d^2 + a^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*(2*b^3*c^2*d*x^3 + 8*a*b^2*c*d^2*x^3 + 2*a^2*b*d^3*x^3 + 3*b^3*c^3*x^2 + 15*a*b^2*c^2*d*x^2 + 15*a^2*b*c*d^2*x^2 + 3*a^3*d^3*x^2 + 10*a*b^2*c^3*x + 16*a^2*b*c^2*d*x + 10*a^3*c*d^2*x + 6*a^2*b*c^3 + 6*a^3*c^2*d)/((b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)*(b*d*x^2 + b*c*x + a*d*x + a*c)^2)","B",0
315,1,388,0,0.947659," ","integrate(x/(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(b^{3} c d + a b^{2} d^{2}\right)} \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{3 \, {\left(b^{2} c d^{2} + a b d^{3}\right)} \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{6 \, b^{3} c d^{2} x^{3} + 6 \, a b^{2} d^{3} x^{3} + 9 \, b^{3} c^{2} d x^{2} + 18 \, a b^{2} c d^{2} x^{2} + 9 \, a^{2} b d^{3} x^{2} + 2 \, b^{3} c^{3} x + 16 \, a b^{2} c^{2} d x + 16 \, a^{2} b c d^{2} x + 2 \, a^{3} d^{3} x + a b^{2} c^{3} + 10 \, a^{2} b c^{2} d + a^{3} c d^{2}}{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,"-3*(b^3*c*d + a*b^2*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) + 3*(b^2*c*d^2 + a*b*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*(6*b^3*c*d^2*x^3 + 6*a*b^2*d^3*x^3 + 9*b^3*c^2*d*x^2 + 18*a*b^2*c*d^2*x^2 + 9*a^2*b*d^3*x^2 + 2*b^3*c^3*x + 16*a*b^2*c^2*d*x + 16*a^2*b*c*d^2*x + 2*a^3*d^3*x + a*b^2*c^3 + 10*a^2*b*c^2*d + a^3*c*d^2)/((b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)*(b*d*x^2 + b*c*x + a*d*x + a*c)^2)","B",0
316,1,345,0,1.004507," ","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
317,1,504,0,0.950555," ","integrate(1/x/(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","-\frac{{\left(b^{6} c^{2} - 5 \, a b^{5} c d + 10 \, a^{2} b^{4} d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{a^{3} b^{6} c^{5} - 5 \, a^{4} b^{5} c^{4} d + 10 \, a^{5} b^{4} c^{3} d^{2} - 10 \, a^{6} b^{3} c^{2} d^{3} + 5 \, a^{7} b^{2} c d^{4} - a^{8} b d^{5}} + \frac{{\left(10 \, b^{2} c^{2} d^{4} - 5 \, a b c d^{5} + a^{2} d^{6}\right)} \log\left({\left| d x + c \right|}\right)}{b^{5} c^{8} d - 5 \, a b^{4} c^{7} d^{2} + 10 \, a^{2} b^{3} c^{6} d^{3} - 10 \, a^{3} b^{2} c^{5} d^{4} + 5 \, a^{4} b c^{4} d^{5} - a^{5} c^{3} d^{6}} + \frac{\log\left({\left| x \right|}\right)}{a^{3} c^{3}} + \frac{3 \, a^{2} b^{4} c^{6} - 9 \, a^{3} b^{3} c^{5} d - 9 \, a^{5} b c^{3} d^{3} + 3 \, a^{6} c^{2} d^{4} + 2 \, {\left(a b^{5} c^{4} d^{2} - 4 \, a^{2} b^{4} c^{3} d^{3} - 4 \, a^{3} b^{3} c^{2} d^{4} + a^{4} b^{2} c d^{5}\right)} x^{3} + {\left(4 \, a b^{5} c^{5} d - 13 \, a^{2} b^{4} c^{4} d^{2} - 18 \, a^{3} b^{3} c^{3} d^{3} - 13 \, a^{4} b^{2} c^{2} d^{4} + 4 \, a^{5} b c d^{5}\right)} x^{2} + 2 \, {\left(a b^{5} c^{6} - a^{2} b^{4} c^{5} d - 9 \, a^{3} b^{3} c^{4} d^{2} - 9 \, a^{4} b^{2} c^{3} d^{3} - a^{5} b c^{2} d^{4} + a^{6} c d^{5}\right)} x}{2 \, {\left(b c - a d\right)}^{4} {\left(b x + a\right)}^{2} {\left(d x + c\right)}^{2} a^{3} c^{3}}"," ",0,"-(b^6*c^2 - 5*a*b^5*c*d + 10*a^2*b^4*d^2)*log(abs(b*x + a))/(a^3*b^6*c^5 - 5*a^4*b^5*c^4*d + 10*a^5*b^4*c^3*d^2 - 10*a^6*b^3*c^2*d^3 + 5*a^7*b^2*c*d^4 - a^8*b*d^5) + (10*b^2*c^2*d^4 - 5*a*b*c*d^5 + a^2*d^6)*log(abs(d*x + c))/(b^5*c^8*d - 5*a*b^4*c^7*d^2 + 10*a^2*b^3*c^6*d^3 - 10*a^3*b^2*c^5*d^4 + 5*a^4*b*c^4*d^5 - a^5*c^3*d^6) + log(abs(x))/(a^3*c^3) + 1/2*(3*a^2*b^4*c^6 - 9*a^3*b^3*c^5*d - 9*a^5*b*c^3*d^3 + 3*a^6*c^2*d^4 + 2*(a*b^5*c^4*d^2 - 4*a^2*b^4*c^3*d^3 - 4*a^3*b^3*c^2*d^4 + a^4*b^2*c*d^5)*x^3 + (4*a*b^5*c^5*d - 13*a^2*b^4*c^4*d^2 - 18*a^3*b^3*c^3*d^3 - 13*a^4*b^2*c^2*d^4 + 4*a^5*b*c*d^5)*x^2 + 2*(a*b^5*c^6 - a^2*b^4*c^5*d - 9*a^3*b^3*c^4*d^2 - 9*a^4*b^2*c^3*d^3 - a^5*b*c^2*d^4 + a^6*c*d^5)*x)/((b*c - a*d)^4*(b*x + a)^2*(d*x + c)^2*a^3*c^3)","B",0
318,1,630,0,1.852514," ","integrate(1/x^2/(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","\frac{3 \, {\left(b^{7} c^{2} - 4 \, a b^{6} c d + 5 \, a^{2} b^{5} d^{2}\right)} \log\left({\left| b x + a \right|}\right)}{a^{4} b^{6} c^{5} - 5 \, a^{5} b^{5} c^{4} d + 10 \, a^{6} b^{4} c^{3} d^{2} - 10 \, a^{7} b^{3} c^{2} d^{3} + 5 \, a^{8} b^{2} c d^{4} - a^{9} b d^{5}} - \frac{3 \, {\left(5 \, b^{2} c^{2} d^{5} - 4 \, a b c d^{6} + a^{2} d^{7}\right)} \log\left({\left| d x + c \right|}\right)}{b^{5} c^{9} d - 5 \, a b^{4} c^{8} d^{2} + 10 \, a^{2} b^{3} c^{7} d^{3} - 10 \, a^{3} b^{2} c^{6} d^{4} + 5 \, a^{4} b c^{5} d^{5} - a^{5} c^{4} d^{6}} - \frac{3 \, {\left(b c + a d\right)} \log\left({\left| x \right|}\right)}{a^{4} c^{4}} - \frac{2 \, a^{3} b^{4} c^{7} - 8 \, a^{4} b^{3} c^{6} d + 12 \, a^{5} b^{2} c^{5} d^{2} - 8 \, a^{6} b c^{4} d^{3} + 2 \, a^{7} c^{3} d^{4} + 6 \, {\left(a b^{6} c^{5} d^{2} - 3 \, a^{2} b^{5} c^{4} d^{3} + 2 \, a^{3} b^{4} c^{3} d^{4} - 3 \, a^{4} b^{3} c^{2} d^{5} + a^{5} b^{2} c d^{6}\right)} x^{4} + 3 \, {\left(4 \, a b^{6} c^{6} d - 9 \, a^{2} b^{5} c^{5} d^{2} - a^{3} b^{4} c^{4} d^{3} - a^{4} b^{3} c^{3} d^{4} - 9 \, a^{5} b^{2} c^{2} d^{5} + 4 \, a^{6} b c d^{6}\right)} x^{3} + 2 \, {\left(3 \, a b^{6} c^{7} - 20 \, a^{3} b^{4} c^{5} d^{2} + 16 \, a^{4} b^{3} c^{4} d^{3} - 20 \, a^{5} b^{2} c^{3} d^{4} + 3 \, a^{7} c d^{6}\right)} x^{2} + {\left(9 \, a^{2} b^{5} c^{7} - 23 \, a^{3} b^{4} c^{6} d + 8 \, a^{4} b^{3} c^{5} d^{2} + 8 \, a^{5} b^{2} c^{4} d^{3} - 23 \, a^{6} b c^{3} d^{4} + 9 \, a^{7} c^{2} d^{5}\right)} x}{2 \, {\left(b c - a d\right)}^{4} {\left(b x + a\right)}^{2} {\left(d x + c\right)}^{2} a^{4} c^{4} x}"," ",0,"3*(b^7*c^2 - 4*a*b^6*c*d + 5*a^2*b^5*d^2)*log(abs(b*x + a))/(a^4*b^6*c^5 - 5*a^5*b^5*c^4*d + 10*a^6*b^4*c^3*d^2 - 10*a^7*b^3*c^2*d^3 + 5*a^8*b^2*c*d^4 - a^9*b*d^5) - 3*(5*b^2*c^2*d^5 - 4*a*b*c*d^6 + a^2*d^7)*log(abs(d*x + c))/(b^5*c^9*d - 5*a*b^4*c^8*d^2 + 10*a^2*b^3*c^7*d^3 - 10*a^3*b^2*c^6*d^4 + 5*a^4*b*c^5*d^5 - a^5*c^4*d^6) - 3*(b*c + a*d)*log(abs(x))/(a^4*c^4) - 1/2*(2*a^3*b^4*c^7 - 8*a^4*b^3*c^6*d + 12*a^5*b^2*c^5*d^2 - 8*a^6*b*c^4*d^3 + 2*a^7*c^3*d^4 + 6*(a*b^6*c^5*d^2 - 3*a^2*b^5*c^4*d^3 + 2*a^3*b^4*c^3*d^4 - 3*a^4*b^3*c^2*d^5 + a^5*b^2*c*d^6)*x^4 + 3*(4*a*b^6*c^6*d - 9*a^2*b^5*c^5*d^2 - a^3*b^4*c^4*d^3 - a^4*b^3*c^3*d^4 - 9*a^5*b^2*c^2*d^5 + 4*a^6*b*c*d^6)*x^3 + 2*(3*a*b^6*c^7 - 20*a^3*b^4*c^5*d^2 + 16*a^4*b^3*c^4*d^3 - 20*a^5*b^2*c^3*d^4 + 3*a^7*c*d^6)*x^2 + (9*a^2*b^5*c^7 - 23*a^3*b^4*c^6*d + 8*a^4*b^3*c^5*d^2 + 8*a^5*b^2*c^4*d^3 - 23*a^6*b*c^3*d^4 + 9*a^7*c^2*d^5)*x)/((b*c - a*d)^4*(b*x + a)^2*(d*x + c)^2*a^4*c^4*x)","B",0
319,1,29,0,1.285168," ","integrate(x^(7/2)*(b*x+a)*(B*x+A),x, algorithm=""giac"")","\frac{2}{13} \, B b x^{\frac{13}{2}} + \frac{2}{11} \, B a x^{\frac{11}{2}} + \frac{2}{11} \, A b x^{\frac{11}{2}} + \frac{2}{9} \, A a x^{\frac{9}{2}}"," ",0,"2/13*B*b*x^(13/2) + 2/11*B*a*x^(11/2) + 2/11*A*b*x^(11/2) + 2/9*A*a*x^(9/2)","A",0
320,1,29,0,1.187702," ","integrate(x^(5/2)*(b*x+a)*(B*x+A),x, algorithm=""giac"")","\frac{2}{11} \, B b x^{\frac{11}{2}} + \frac{2}{9} \, B a x^{\frac{9}{2}} + \frac{2}{9} \, A b x^{\frac{9}{2}} + \frac{2}{7} \, A a x^{\frac{7}{2}}"," ",0,"2/11*B*b*x^(11/2) + 2/9*B*a*x^(9/2) + 2/9*A*b*x^(9/2) + 2/7*A*a*x^(7/2)","A",0
321,1,29,0,1.216379," ","integrate(x^(3/2)*(b*x+a)*(B*x+A),x, algorithm=""giac"")","\frac{2}{9} \, B b x^{\frac{9}{2}} + \frac{2}{7} \, B a x^{\frac{7}{2}} + \frac{2}{7} \, A b x^{\frac{7}{2}} + \frac{2}{5} \, A a x^{\frac{5}{2}}"," ",0,"2/9*B*b*x^(9/2) + 2/7*B*a*x^(7/2) + 2/7*A*b*x^(7/2) + 2/5*A*a*x^(5/2)","A",0
322,1,29,0,1.228970," ","integrate((b*x+a)*(B*x+A)*x^(1/2),x, algorithm=""giac"")","\frac{2}{7} \, B b x^{\frac{7}{2}} + \frac{2}{5} \, B a x^{\frac{5}{2}} + \frac{2}{5} \, A b x^{\frac{5}{2}} + \frac{2}{3} \, A a x^{\frac{3}{2}}"," ",0,"2/7*B*b*x^(7/2) + 2/5*B*a*x^(5/2) + 2/5*A*b*x^(5/2) + 2/3*A*a*x^(3/2)","A",0
323,1,29,0,1.228559," ","integrate((b*x+a)*(B*x+A)/x^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, B b x^{\frac{5}{2}} + \frac{2}{3} \, B a x^{\frac{3}{2}} + \frac{2}{3} \, A b x^{\frac{3}{2}} + 2 \, A a \sqrt{x}"," ",0,"2/5*B*b*x^(5/2) + 2/3*B*a*x^(3/2) + 2/3*A*b*x^(3/2) + 2*A*a*sqrt(x)","A",0
324,1,29,0,1.211745," ","integrate((b*x+a)*(B*x+A)/x^(3/2),x, algorithm=""giac"")","\frac{2}{3} \, B b x^{\frac{3}{2}} + 2 \, B a \sqrt{x} + 2 \, A b \sqrt{x} - \frac{2 \, A a}{\sqrt{x}}"," ",0,"2/3*B*b*x^(3/2) + 2*B*a*sqrt(x) + 2*A*b*sqrt(x) - 2*A*a/sqrt(x)","A",0
325,1,27,0,1.202975," ","integrate((b*x+a)*(B*x+A)/x^(5/2),x, algorithm=""giac"")","2 \, B b \sqrt{x} - \frac{2 \, {\left(3 \, B a x + 3 \, A b x + A a\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2*B*b*sqrt(x) - 2/3*(3*B*a*x + 3*A*b*x + A*a)/x^(3/2)","A",0
326,1,27,0,1.294627," ","integrate((b*x+a)*(B*x+A)/x^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, B b x^{2} + 5 \, B a x + 5 \, A b x + 3 \, A a\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"-2/15*(15*B*b*x^2 + 5*B*a*x + 5*A*b*x + 3*A*a)/x^(5/2)","A",0
327,1,53,0,1.210570," ","integrate(x^(7/2)*(b*x+a)^2*(B*x+A),x, algorithm=""giac"")","\frac{2}{15} \, B b^{2} x^{\frac{15}{2}} + \frac{4}{13} \, B a b x^{\frac{13}{2}} + \frac{2}{13} \, A b^{2} x^{\frac{13}{2}} + \frac{2}{11} \, B a^{2} x^{\frac{11}{2}} + \frac{4}{11} \, A a b x^{\frac{11}{2}} + \frac{2}{9} \, A a^{2} x^{\frac{9}{2}}"," ",0,"2/15*B*b^2*x^(15/2) + 4/13*B*a*b*x^(13/2) + 2/13*A*b^2*x^(13/2) + 2/11*B*a^2*x^(11/2) + 4/11*A*a*b*x^(11/2) + 2/9*A*a^2*x^(9/2)","A",0
328,1,53,0,1.192863," ","integrate(x^(5/2)*(b*x+a)^2*(B*x+A),x, algorithm=""giac"")","\frac{2}{13} \, B b^{2} x^{\frac{13}{2}} + \frac{4}{11} \, B a b x^{\frac{11}{2}} + \frac{2}{11} \, A b^{2} x^{\frac{11}{2}} + \frac{2}{9} \, B a^{2} x^{\frac{9}{2}} + \frac{4}{9} \, A a b x^{\frac{9}{2}} + \frac{2}{7} \, A a^{2} x^{\frac{7}{2}}"," ",0,"2/13*B*b^2*x^(13/2) + 4/11*B*a*b*x^(11/2) + 2/11*A*b^2*x^(11/2) + 2/9*B*a^2*x^(9/2) + 4/9*A*a*b*x^(9/2) + 2/7*A*a^2*x^(7/2)","A",0
329,1,53,0,1.252419," ","integrate(x^(3/2)*(b*x+a)^2*(B*x+A),x, algorithm=""giac"")","\frac{2}{11} \, B b^{2} x^{\frac{11}{2}} + \frac{4}{9} \, B a b x^{\frac{9}{2}} + \frac{2}{9} \, A b^{2} x^{\frac{9}{2}} + \frac{2}{7} \, B a^{2} x^{\frac{7}{2}} + \frac{4}{7} \, A a b x^{\frac{7}{2}} + \frac{2}{5} \, A a^{2} x^{\frac{5}{2}}"," ",0,"2/11*B*b^2*x^(11/2) + 4/9*B*a*b*x^(9/2) + 2/9*A*b^2*x^(9/2) + 2/7*B*a^2*x^(7/2) + 4/7*A*a*b*x^(7/2) + 2/5*A*a^2*x^(5/2)","A",0
330,1,53,0,1.229864," ","integrate((b*x+a)^2*(B*x+A)*x^(1/2),x, algorithm=""giac"")","\frac{2}{9} \, B b^{2} x^{\frac{9}{2}} + \frac{4}{7} \, B a b x^{\frac{7}{2}} + \frac{2}{7} \, A b^{2} x^{\frac{7}{2}} + \frac{2}{5} \, B a^{2} x^{\frac{5}{2}} + \frac{4}{5} \, A a b x^{\frac{5}{2}} + \frac{2}{3} \, A a^{2} x^{\frac{3}{2}}"," ",0,"2/9*B*b^2*x^(9/2) + 4/7*B*a*b*x^(7/2) + 2/7*A*b^2*x^(7/2) + 2/5*B*a^2*x^(5/2) + 4/5*A*a*b*x^(5/2) + 2/3*A*a^2*x^(3/2)","A",0
331,1,53,0,1.218645," ","integrate((b*x+a)^2*(B*x+A)/x^(1/2),x, algorithm=""giac"")","\frac{2}{7} \, B b^{2} x^{\frac{7}{2}} + \frac{4}{5} \, B a b x^{\frac{5}{2}} + \frac{2}{5} \, A b^{2} x^{\frac{5}{2}} + \frac{2}{3} \, B a^{2} x^{\frac{3}{2}} + \frac{4}{3} \, A a b x^{\frac{3}{2}} + 2 \, A a^{2} \sqrt{x}"," ",0,"2/7*B*b^2*x^(7/2) + 4/5*B*a*b*x^(5/2) + 2/5*A*b^2*x^(5/2) + 2/3*B*a^2*x^(3/2) + 4/3*A*a*b*x^(3/2) + 2*A*a^2*sqrt(x)","A",0
332,1,53,0,1.283537," ","integrate((b*x+a)^2*(B*x+A)/x^(3/2),x, algorithm=""giac"")","\frac{2}{5} \, B b^{2} x^{\frac{5}{2}} + \frac{4}{3} \, B a b x^{\frac{3}{2}} + \frac{2}{3} \, A b^{2} x^{\frac{3}{2}} + 2 \, B a^{2} \sqrt{x} + 4 \, A a b \sqrt{x} - \frac{2 \, A a^{2}}{\sqrt{x}}"," ",0,"2/5*B*b^2*x^(5/2) + 4/3*B*a*b*x^(3/2) + 2/3*A*b^2*x^(3/2) + 2*B*a^2*sqrt(x) + 4*A*a*b*sqrt(x) - 2*A*a^2/sqrt(x)","A",0
333,1,51,0,1.300077," ","integrate((b*x+a)^2*(B*x+A)/x^(5/2),x, algorithm=""giac"")","\frac{2}{3} \, B b^{2} x^{\frac{3}{2}} + 4 \, B a b \sqrt{x} + 2 \, A b^{2} \sqrt{x} - \frac{2 \, {\left(3 \, B a^{2} x + 6 \, A a b x + A a^{2}\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*B*b^2*x^(3/2) + 4*B*a*b*sqrt(x) + 2*A*b^2*sqrt(x) - 2/3*(3*B*a^2*x + 6*A*a*b*x + A*a^2)/x^(3/2)","A",0
334,1,52,0,1.259982," ","integrate((b*x+a)^2*(B*x+A)/x^(7/2),x, algorithm=""giac"")","2 \, B b^{2} \sqrt{x} - \frac{2 \, {\left(30 \, B a b x^{2} + 15 \, A b^{2} x^{2} + 5 \, B a^{2} x + 10 \, A a b x + 3 \, A a^{2}\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"2*B*b^2*sqrt(x) - 2/15*(30*B*a*b*x^2 + 15*A*b^2*x^2 + 5*B*a^2*x + 10*A*a*b*x + 3*A*a^2)/x^(5/2)","A",0
335,1,77,0,1.314390," ","integrate(x^(7/2)*(b*x+a)^3*(B*x+A),x, algorithm=""giac"")","\frac{2}{17} \, B b^{3} x^{\frac{17}{2}} + \frac{2}{5} \, B a b^{2} x^{\frac{15}{2}} + \frac{2}{15} \, A b^{3} x^{\frac{15}{2}} + \frac{6}{13} \, B a^{2} b x^{\frac{13}{2}} + \frac{6}{13} \, A a b^{2} x^{\frac{13}{2}} + \frac{2}{11} \, B a^{3} x^{\frac{11}{2}} + \frac{6}{11} \, A a^{2} b x^{\frac{11}{2}} + \frac{2}{9} \, A a^{3} x^{\frac{9}{2}}"," ",0,"2/17*B*b^3*x^(17/2) + 2/5*B*a*b^2*x^(15/2) + 2/15*A*b^3*x^(15/2) + 6/13*B*a^2*b*x^(13/2) + 6/13*A*a*b^2*x^(13/2) + 2/11*B*a^3*x^(11/2) + 6/11*A*a^2*b*x^(11/2) + 2/9*A*a^3*x^(9/2)","A",0
336,1,77,0,1.217928," ","integrate(x^(5/2)*(b*x+a)^3*(B*x+A),x, algorithm=""giac"")","\frac{2}{15} \, B b^{3} x^{\frac{15}{2}} + \frac{6}{13} \, B a b^{2} x^{\frac{13}{2}} + \frac{2}{13} \, A b^{3} x^{\frac{13}{2}} + \frac{6}{11} \, B a^{2} b x^{\frac{11}{2}} + \frac{6}{11} \, A a b^{2} x^{\frac{11}{2}} + \frac{2}{9} \, B a^{3} x^{\frac{9}{2}} + \frac{2}{3} \, A a^{2} b x^{\frac{9}{2}} + \frac{2}{7} \, A a^{3} x^{\frac{7}{2}}"," ",0,"2/15*B*b^3*x^(15/2) + 6/13*B*a*b^2*x^(13/2) + 2/13*A*b^3*x^(13/2) + 6/11*B*a^2*b*x^(11/2) + 6/11*A*a*b^2*x^(11/2) + 2/9*B*a^3*x^(9/2) + 2/3*A*a^2*b*x^(9/2) + 2/7*A*a^3*x^(7/2)","A",0
337,1,77,0,1.209553," ","integrate(x^(3/2)*(b*x+a)^3*(B*x+A),x, algorithm=""giac"")","\frac{2}{13} \, B b^{3} x^{\frac{13}{2}} + \frac{6}{11} \, B a b^{2} x^{\frac{11}{2}} + \frac{2}{11} \, A b^{3} x^{\frac{11}{2}} + \frac{2}{3} \, B a^{2} b x^{\frac{9}{2}} + \frac{2}{3} \, A a b^{2} x^{\frac{9}{2}} + \frac{2}{7} \, B a^{3} x^{\frac{7}{2}} + \frac{6}{7} \, A a^{2} b x^{\frac{7}{2}} + \frac{2}{5} \, A a^{3} x^{\frac{5}{2}}"," ",0,"2/13*B*b^3*x^(13/2) + 6/11*B*a*b^2*x^(11/2) + 2/11*A*b^3*x^(11/2) + 2/3*B*a^2*b*x^(9/2) + 2/3*A*a*b^2*x^(9/2) + 2/7*B*a^3*x^(7/2) + 6/7*A*a^2*b*x^(7/2) + 2/5*A*a^3*x^(5/2)","A",0
338,1,77,0,1.219998," ","integrate((b*x+a)^3*(B*x+A)*x^(1/2),x, algorithm=""giac"")","\frac{2}{11} \, B b^{3} x^{\frac{11}{2}} + \frac{2}{3} \, B a b^{2} x^{\frac{9}{2}} + \frac{2}{9} \, A b^{3} x^{\frac{9}{2}} + \frac{6}{7} \, B a^{2} b x^{\frac{7}{2}} + \frac{6}{7} \, A a b^{2} x^{\frac{7}{2}} + \frac{2}{5} \, B a^{3} x^{\frac{5}{2}} + \frac{6}{5} \, A a^{2} b x^{\frac{5}{2}} + \frac{2}{3} \, A a^{3} x^{\frac{3}{2}}"," ",0,"2/11*B*b^3*x^(11/2) + 2/3*B*a*b^2*x^(9/2) + 2/9*A*b^3*x^(9/2) + 6/7*B*a^2*b*x^(7/2) + 6/7*A*a*b^2*x^(7/2) + 2/5*B*a^3*x^(5/2) + 6/5*A*a^2*b*x^(5/2) + 2/3*A*a^3*x^(3/2)","A",0
339,1,77,0,1.201474," ","integrate((b*x+a)^3*(B*x+A)/x^(1/2),x, algorithm=""giac"")","\frac{2}{9} \, B b^{3} x^{\frac{9}{2}} + \frac{6}{7} \, B a b^{2} x^{\frac{7}{2}} + \frac{2}{7} \, A b^{3} x^{\frac{7}{2}} + \frac{6}{5} \, B a^{2} b x^{\frac{5}{2}} + \frac{6}{5} \, A a b^{2} x^{\frac{5}{2}} + \frac{2}{3} \, B a^{3} x^{\frac{3}{2}} + 2 \, A a^{2} b x^{\frac{3}{2}} + 2 \, A a^{3} \sqrt{x}"," ",0,"2/9*B*b^3*x^(9/2) + 6/7*B*a*b^2*x^(7/2) + 2/7*A*b^3*x^(7/2) + 6/5*B*a^2*b*x^(5/2) + 6/5*A*a*b^2*x^(5/2) + 2/3*B*a^3*x^(3/2) + 2*A*a^2*b*x^(3/2) + 2*A*a^3*sqrt(x)","A",0
340,1,77,0,1.252885," ","integrate((b*x+a)^3*(B*x+A)/x^(3/2),x, algorithm=""giac"")","\frac{2}{7} \, B b^{3} x^{\frac{7}{2}} + \frac{6}{5} \, B a b^{2} x^{\frac{5}{2}} + \frac{2}{5} \, A b^{3} x^{\frac{5}{2}} + 2 \, B a^{2} b x^{\frac{3}{2}} + 2 \, A a b^{2} x^{\frac{3}{2}} + 2 \, B a^{3} \sqrt{x} + 6 \, A a^{2} b \sqrt{x} - \frac{2 \, A a^{3}}{\sqrt{x}}"," ",0,"2/7*B*b^3*x^(7/2) + 6/5*B*a*b^2*x^(5/2) + 2/5*A*b^3*x^(5/2) + 2*B*a^2*b*x^(3/2) + 2*A*a*b^2*x^(3/2) + 2*B*a^3*sqrt(x) + 6*A*a^2*b*sqrt(x) - 2*A*a^3/sqrt(x)","A",0
341,1,75,0,1.277279," ","integrate((b*x+a)^3*(B*x+A)/x^(5/2),x, algorithm=""giac"")","\frac{2}{5} \, B b^{3} x^{\frac{5}{2}} + 2 \, B a b^{2} x^{\frac{3}{2}} + \frac{2}{3} \, A b^{3} x^{\frac{3}{2}} + 6 \, B a^{2} b \sqrt{x} + 6 \, A a b^{2} \sqrt{x} - \frac{2 \, {\left(3 \, B a^{3} x + 9 \, A a^{2} b x + A a^{3}\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/5*B*b^3*x^(5/2) + 2*B*a*b^2*x^(3/2) + 2/3*A*b^3*x^(3/2) + 6*B*a^2*b*sqrt(x) + 6*A*a*b^2*sqrt(x) - 2/3*(3*B*a^3*x + 9*A*a^2*b*x + A*a^3)/x^(3/2)","A",0
342,1,76,0,1.238993," ","integrate((b*x+a)^3*(B*x+A)/x^(7/2),x, algorithm=""giac"")","\frac{2}{3} \, B b^{3} x^{\frac{3}{2}} + 6 \, B a b^{2} \sqrt{x} + 2 \, A b^{3} \sqrt{x} - \frac{2 \, {\left(45 \, B a^{2} b x^{2} + 45 \, A a b^{2} x^{2} + 5 \, B a^{3} x + 15 \, A a^{2} b x + 3 \, A a^{3}\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"2/3*B*b^3*x^(3/2) + 6*B*a*b^2*sqrt(x) + 2*A*b^3*sqrt(x) - 2/15*(45*B*a^2*b*x^2 + 45*A*a*b^2*x^2 + 5*B*a^3*x + 15*A*a^2*b*x + 3*A*a^3)/x^(5/2)","A",0
343,1,32,0,1.260941," ","integrate((2-3*x)^3*x^(1/2)/(1+x)^2,x, algorithm=""giac"")","-\frac{54}{5} \, x^{\frac{5}{2}} + 72 \, x^{\frac{3}{2}} - 450 \, \sqrt{x} - \frac{125 \, \sqrt{x}}{x + 1} + 575 \, \arctan\left(\sqrt{x}\right)"," ",0,"-54/5*x^(5/2) + 72*x^(3/2) - 450*sqrt(x) - 125*sqrt(x)/(x + 1) + 575*arctan(sqrt(x))","A",0
344,1,139,0,1.227117," ","integrate(x^(7/2)*(B*x+A)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(B a^{5} - A a^{4} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{5}} + \frac{2 \, {\left(35 \, B b^{8} x^{\frac{9}{2}} - 45 \, B a b^{7} x^{\frac{7}{2}} + 45 \, A b^{8} x^{\frac{7}{2}} + 63 \, B a^{2} b^{6} x^{\frac{5}{2}} - 63 \, A a b^{7} x^{\frac{5}{2}} - 105 \, B a^{3} b^{5} x^{\frac{3}{2}} + 105 \, A a^{2} b^{6} x^{\frac{3}{2}} + 315 \, B a^{4} b^{4} \sqrt{x} - 315 \, A a^{3} b^{5} \sqrt{x}\right)}}{315 \, b^{9}}"," ",0,"-2*(B*a^5 - A*a^4*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^5) + 2/315*(35*B*b^8*x^(9/2) - 45*B*a*b^7*x^(7/2) + 45*A*b^8*x^(7/2) + 63*B*a^2*b^6*x^(5/2) - 63*A*a*b^7*x^(5/2) - 105*B*a^3*b^5*x^(3/2) + 105*A*a^2*b^6*x^(3/2) + 315*B*a^4*b^4*sqrt(x) - 315*A*a^3*b^5*sqrt(x))/b^9","A",0
345,1,115,0,1.331273," ","integrate(x^(5/2)*(B*x+A)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(B a^{4} - A a^{3} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{4}} + \frac{2 \, {\left(15 \, B b^{6} x^{\frac{7}{2}} - 21 \, B a b^{5} x^{\frac{5}{2}} + 21 \, A b^{6} x^{\frac{5}{2}} + 35 \, B a^{2} b^{4} x^{\frac{3}{2}} - 35 \, A a b^{5} x^{\frac{3}{2}} - 105 \, B a^{3} b^{3} \sqrt{x} + 105 \, A a^{2} b^{4} \sqrt{x}\right)}}{105 \, b^{7}}"," ",0,"2*(B*a^4 - A*a^3*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4) + 2/105*(15*B*b^6*x^(7/2) - 21*B*a*b^5*x^(5/2) + 21*A*b^6*x^(5/2) + 35*B*a^2*b^4*x^(3/2) - 35*A*a*b^5*x^(3/2) - 105*B*a^3*b^3*sqrt(x) + 105*A*a^2*b^4*sqrt(x))/b^7","A",0
346,1,91,0,1.208264," ","integrate(x^(3/2)*(B*x+A)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(B a^{3} - A a^{2} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} + \frac{2 \, {\left(3 \, B b^{4} x^{\frac{5}{2}} - 5 \, B a b^{3} x^{\frac{3}{2}} + 5 \, A b^{4} x^{\frac{3}{2}} + 15 \, B a^{2} b^{2} \sqrt{x} - 15 \, A a b^{3} \sqrt{x}\right)}}{15 \, b^{5}}"," ",0,"-2*(B*a^3 - A*a^2*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) + 2/15*(3*B*b^4*x^(5/2) - 5*B*a*b^3*x^(3/2) + 5*A*b^4*x^(3/2) + 15*B*a^2*b^2*sqrt(x) - 15*A*a*b^3*sqrt(x))/b^5","A",0
347,1,64,0,1.270540," ","integrate((B*x+A)*x^(1/2)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(B a^{2} - A a b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{2 \, {\left(B b^{2} x^{\frac{3}{2}} - 3 \, B a b \sqrt{x} + 3 \, A b^{2} \sqrt{x}\right)}}{3 \, b^{3}}"," ",0,"2*(B*a^2 - A*a*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2) + 2/3*(B*b^2*x^(3/2) - 3*B*a*b*sqrt(x) + 3*A*b^2*sqrt(x))/b^3","A",0
348,1,39,0,1.260747," ","integrate((B*x+A)/(b*x+a)/x^(1/2),x, algorithm=""giac"")","\frac{2 \, B \sqrt{x}}{b} - \frac{2 \, {\left(B a - A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b}"," ",0,"2*B*sqrt(x)/b - 2*(B*a - A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b)","A",0
349,1,39,0,1.262848," ","integrate((B*x+A)/x^(3/2)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(B a - A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a} - \frac{2 \, A}{a \sqrt{x}}"," ",0,"2*(B*a - A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a) - 2*A/(a*sqrt(x))","A",0
350,1,55,0,1.225518," ","integrate((B*x+A)/x^(5/2)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(B a b - A b^{2}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}} - \frac{2 \, {\left(3 \, B a x - 3 \, A b x + A a\right)}}{3 \, a^{2} x^{\frac{3}{2}}}"," ",0,"-2*(B*a*b - A*b^2)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2) - 2/3*(3*B*a*x - 3*A*b*x + A*a)/(a^2*x^(3/2))","A",0
351,1,80,0,1.330213," ","integrate((B*x+A)/x^(7/2)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(B a b^{2} - A b^{3}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}} + \frac{2 \, {\left(15 \, B a b x^{2} - 15 \, A b^{2} x^{2} - 5 \, B a^{2} x + 5 \, A a b x - 3 \, A a^{2}\right)}}{15 \, a^{3} x^{\frac{5}{2}}}"," ",0,"2*(B*a*b^2 - A*b^3)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3) + 2/15*(15*B*a*b*x^2 - 15*A*b^2*x^2 - 5*B*a^2*x + 5*A*a*b*x - 3*A*a^2)/(a^3*x^(5/2))","A",0
352,1,104,0,1.315474," ","integrate((B*x+A)/x^(9/2)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(B a b^{3} - A b^{4}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{4}} - \frac{2 \, {\left(105 \, B a b^{2} x^{3} - 105 \, A b^{3} x^{3} - 35 \, B a^{2} b x^{2} + 35 \, A a b^{2} x^{2} + 21 \, B a^{3} x - 21 \, A a^{2} b x + 15 \, A a^{3}\right)}}{105 \, a^{4} x^{\frac{7}{2}}}"," ",0,"-2*(B*a*b^3 - A*b^4)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4) - 2/105*(105*B*a*b^2*x^3 - 105*A*b^3*x^3 - 35*B*a^2*b*x^2 + 35*A*a*b^2*x^2 + 21*B*a^3*x - 21*A*a^2*b*x + 15*A*a^3)/(a^4*x^(7/2))","A",0
353,1,128,0,1.250125," ","integrate((B*x+A)/x^(11/2)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(B a b^{4} - A b^{5}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{5}} + \frac{2 \, {\left(315 \, B a b^{3} x^{4} - 315 \, A b^{4} x^{4} - 105 \, B a^{2} b^{2} x^{3} + 105 \, A a b^{3} x^{3} + 63 \, B a^{3} b x^{2} - 63 \, A a^{2} b^{2} x^{2} - 45 \, B a^{4} x + 45 \, A a^{3} b x - 35 \, A a^{4}\right)}}{315 \, a^{5} x^{\frac{9}{2}}}"," ",0,"2*(B*a*b^4 - A*b^5)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^5) + 2/315*(315*B*a*b^3*x^4 - 315*A*b^4*x^4 - 105*B*a^2*b^2*x^3 + 105*A*a*b^3*x^3 + 63*B*a^3*b*x^2 - 63*A*a^2*b^2*x^2 - 45*B*a^4*x + 45*A*a^3*b*x - 35*A*a^4)/(a^5*x^(9/2))","A",0
354,1,146,0,1.316581," ","integrate(x^(7/2)*(B*x+A)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(9 \, B a^{4} - 7 \, A a^{3} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{5}} - \frac{B a^{4} \sqrt{x} - A a^{3} b \sqrt{x}}{{\left(b x + a\right)} b^{5}} + \frac{2 \, {\left(15 \, B b^{12} x^{\frac{7}{2}} - 42 \, B a b^{11} x^{\frac{5}{2}} + 21 \, A b^{12} x^{\frac{5}{2}} + 105 \, B a^{2} b^{10} x^{\frac{3}{2}} - 70 \, A a b^{11} x^{\frac{3}{2}} - 420 \, B a^{3} b^{9} \sqrt{x} + 315 \, A a^{2} b^{10} \sqrt{x}\right)}}{105 \, b^{14}}"," ",0,"(9*B*a^4 - 7*A*a^3*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^5) - (B*a^4*sqrt(x) - A*a^3*b*sqrt(x))/((b*x + a)*b^5) + 2/105*(15*B*b^12*x^(7/2) - 42*B*a*b^11*x^(5/2) + 21*A*b^12*x^(5/2) + 105*B*a^2*b^10*x^(3/2) - 70*A*a*b^11*x^(3/2) - 420*B*a^3*b^9*sqrt(x) + 315*A*a^2*b^10*sqrt(x))/b^14","A",0
355,1,122,0,1.299909," ","integrate(x^(5/2)*(B*x+A)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(7 \, B a^{3} - 5 \, A a^{2} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{4}} + \frac{B a^{3} \sqrt{x} - A a^{2} b \sqrt{x}}{{\left(b x + a\right)} b^{4}} + \frac{2 \, {\left(3 \, B b^{8} x^{\frac{5}{2}} - 10 \, B a b^{7} x^{\frac{3}{2}} + 5 \, A b^{8} x^{\frac{3}{2}} + 45 \, B a^{2} b^{6} \sqrt{x} - 30 \, A a b^{7} \sqrt{x}\right)}}{15 \, b^{10}}"," ",0,"-(7*B*a^3 - 5*A*a^2*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4) + (B*a^3*sqrt(x) - A*a^2*b*sqrt(x))/((b*x + a)*b^4) + 2/15*(3*B*b^8*x^(5/2) - 10*B*a*b^7*x^(3/2) + 5*A*b^8*x^(3/2) + 45*B*a^2*b^6*sqrt(x) - 30*A*a*b^7*sqrt(x))/b^10","A",0
356,1,95,0,1.325025," ","integrate(x^(3/2)*(B*x+A)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(5 \, B a^{2} - 3 \, A a b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} - \frac{B a^{2} \sqrt{x} - A a b \sqrt{x}}{{\left(b x + a\right)} b^{3}} + \frac{2 \, {\left(B b^{4} x^{\frac{3}{2}} - 6 \, B a b^{3} \sqrt{x} + 3 \, A b^{4} \sqrt{x}\right)}}{3 \, b^{6}}"," ",0,"(5*B*a^2 - 3*A*a*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) - (B*a^2*sqrt(x) - A*a*b*sqrt(x))/((b*x + a)*b^3) + 2/3*(B*b^4*x^(3/2) - 6*B*a*b^3*sqrt(x) + 3*A*b^4*sqrt(x))/b^6","A",0
357,1,65,0,1.263363," ","integrate((B*x+A)*x^(1/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{2 \, B \sqrt{x}}{b^{2}} - \frac{{\left(3 \, B a - A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{B a \sqrt{x} - A b \sqrt{x}}{{\left(b x + a\right)} b^{2}}"," ",0,"2*B*sqrt(x)/b^2 - (3*B*a - A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2) + (B*a*sqrt(x) - A*b*sqrt(x))/((b*x + a)*b^2)","A",0
358,1,60,0,1.278132," ","integrate((B*x+A)/(b*x+a)^2/x^(1/2),x, algorithm=""giac"")","\frac{{\left(B a + A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a b} - \frac{B a \sqrt{x} - A b \sqrt{x}}{{\left(b x + a\right)} a b}"," ",0,"(B*a + A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a*b) - (B*a*sqrt(x) - A*b*sqrt(x))/((b*x + a)*a*b)","A",0
359,1,60,0,1.210044," ","integrate((B*x+A)/x^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(B a - 3 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}} + \frac{B a x - 3 \, A b x - 2 \, A a}{{\left(b x^{\frac{3}{2}} + a \sqrt{x}\right)} a^{2}}"," ",0,"(B*a - 3*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2) + (B*a*x - 3*A*b*x - 2*A*a)/((b*x^(3/2) + a*sqrt(x))*a^2)","A",0
360,1,85,0,1.318799," ","integrate((B*x+A)/x^(5/2)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(3 \, B a b - 5 \, A b^{2}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}} - \frac{B a b \sqrt{x} - A b^{2} \sqrt{x}}{{\left(b x + a\right)} a^{3}} - \frac{2 \, {\left(3 \, B a x - 6 \, A b x + A a\right)}}{3 \, a^{3} x^{\frac{3}{2}}}"," ",0,"-(3*B*a*b - 5*A*b^2)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3) - (B*a*b*sqrt(x) - A*b^2*sqrt(x))/((b*x + a)*a^3) - 2/3*(3*B*a*x - 6*A*b*x + A*a)/(a^3*x^(3/2))","A",0
361,1,110,0,1.233376," ","integrate((B*x+A)/x^(7/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(5 \, B a b^{2} - 7 \, A b^{3}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{4}} + \frac{B a b^{2} \sqrt{x} - A b^{3} \sqrt{x}}{{\left(b x + a\right)} a^{4}} + \frac{2 \, {\left(30 \, B a b x^{2} - 45 \, A b^{2} x^{2} - 5 \, B a^{2} x + 10 \, A a b x - 3 \, A a^{2}\right)}}{15 \, a^{4} x^{\frac{5}{2}}}"," ",0,"(5*B*a*b^2 - 7*A*b^3)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4) + (B*a*b^2*sqrt(x) - A*b^3*sqrt(x))/((b*x + a)*a^4) + 2/15*(30*B*a*b*x^2 - 45*A*b^2*x^2 - 5*B*a^2*x + 10*A*a*b*x - 3*A*a^2)/(a^4*x^(5/2))","A",0
362,1,136,0,1.264030," ","integrate((B*x+A)/x^(9/2)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(7 \, B a b^{3} - 9 \, A b^{4}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{5}} - \frac{B a b^{3} \sqrt{x} - A b^{4} \sqrt{x}}{{\left(b x + a\right)} a^{5}} - \frac{2 \, {\left(315 \, B a b^{2} x^{3} - 420 \, A b^{3} x^{3} - 70 \, B a^{2} b x^{2} + 105 \, A a b^{2} x^{2} + 21 \, B a^{3} x - 42 \, A a^{2} b x + 15 \, A a^{3}\right)}}{105 \, a^{5} x^{\frac{7}{2}}}"," ",0,"-(7*B*a*b^3 - 9*A*b^4)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^5) - (B*a*b^3*sqrt(x) - A*b^4*sqrt(x))/((b*x + a)*a^5) - 2/105*(315*B*a*b^2*x^3 - 420*A*b^3*x^3 - 70*B*a^2*b*x^2 + 105*A*a*b^2*x^2 + 21*B*a^3*x - 42*A*a^2*b*x + 15*A*a^3)/(a^5*x^(7/2))","A",0
363,1,146,0,1.263340," ","integrate(x^(7/2)*(B*x+A)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{7 \, {\left(9 \, B a^{3} - 5 \, A a^{2} b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{5}} + \frac{17 \, B a^{3} b x^{\frac{3}{2}} - 13 \, A a^{2} b^{2} x^{\frac{3}{2}} + 15 \, B a^{4} \sqrt{x} - 11 \, A a^{3} b \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} b^{5}} + \frac{2 \, {\left(3 \, B b^{12} x^{\frac{5}{2}} - 15 \, B a b^{11} x^{\frac{3}{2}} + 5 \, A b^{12} x^{\frac{3}{2}} + 90 \, B a^{2} b^{10} \sqrt{x} - 45 \, A a b^{11} \sqrt{x}\right)}}{15 \, b^{15}}"," ",0,"-7/4*(9*B*a^3 - 5*A*a^2*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^5) + 1/4*(17*B*a^3*b*x^(3/2) - 13*A*a^2*b^2*x^(3/2) + 15*B*a^4*sqrt(x) - 11*A*a^3*b*sqrt(x))/((b*x + a)^2*b^5) + 2/15*(3*B*b^12*x^(5/2) - 15*B*a*b^11*x^(3/2) + 5*A*b^12*x^(3/2) + 90*B*a^2*b^10*sqrt(x) - 45*A*a*b^11*sqrt(x))/b^15","A",0
364,1,119,0,1.326210," ","integrate(x^(5/2)*(B*x+A)/(b*x+a)^3,x, algorithm=""giac"")","\frac{5 \, {\left(7 \, B a^{2} - 3 \, A a b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{4}} - \frac{13 \, B a^{2} b x^{\frac{3}{2}} - 9 \, A a b^{2} x^{\frac{3}{2}} + 11 \, B a^{3} \sqrt{x} - 7 \, A a^{2} b \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} b^{4}} + \frac{2 \, {\left(B b^{6} x^{\frac{3}{2}} - 9 \, B a b^{5} \sqrt{x} + 3 \, A b^{6} \sqrt{x}\right)}}{3 \, b^{9}}"," ",0,"5/4*(7*B*a^2 - 3*A*a*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4) - 1/4*(13*B*a^2*b*x^(3/2) - 9*A*a*b^2*x^(3/2) + 11*B*a^3*sqrt(x) - 7*A*a^2*b*sqrt(x))/((b*x + a)^2*b^4) + 2/3*(B*b^6*x^(3/2) - 9*B*a*b^5*sqrt(x) + 3*A*b^6*sqrt(x))/b^9","A",0
365,1,87,0,1.227238," ","integrate(x^(3/2)*(B*x+A)/(b*x+a)^3,x, algorithm=""giac"")","\frac{2 \, B \sqrt{x}}{b^{3}} - \frac{3 \, {\left(5 \, B a - A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{3}} + \frac{9 \, B a b x^{\frac{3}{2}} - 5 \, A b^{2} x^{\frac{3}{2}} + 7 \, B a^{2} \sqrt{x} - 3 \, A a b \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} b^{3}}"," ",0,"2*B*sqrt(x)/b^3 - 3/4*(5*B*a - A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) + 1/4*(9*B*a*b*x^(3/2) - 5*A*b^2*x^(3/2) + 7*B*a^2*sqrt(x) - 3*A*a*b*sqrt(x))/((b*x + a)^2*b^3)","A",0
366,1,82,0,1.239847," ","integrate((B*x+A)*x^(1/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(3 \, B a + A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a b^{2}} - \frac{5 \, B a b x^{\frac{3}{2}} - A b^{2} x^{\frac{3}{2}} + 3 \, B a^{2} \sqrt{x} + A a b \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a b^{2}}"," ",0,"1/4*(3*B*a + A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a*b^2) - 1/4*(5*B*a*b*x^(3/2) - A*b^2*x^(3/2) + 3*B*a^2*sqrt(x) + A*a*b*sqrt(x))/((b*x + a)^2*a*b^2)","A",0
367,1,82,0,1.293709," ","integrate((B*x+A)/(b*x+a)^3/x^(1/2),x, algorithm=""giac"")","\frac{{\left(B a + 3 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{2} b} + \frac{B a b x^{\frac{3}{2}} + 3 \, A b^{2} x^{\frac{3}{2}} - B a^{2} \sqrt{x} + 5 \, A a b \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a^{2} b}"," ",0,"1/4*(B*a + 3*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2*b) + 1/4*(B*a*b*x^(3/2) + 3*A*b^2*x^(3/2) - B*a^2*sqrt(x) + 5*A*a*b*sqrt(x))/((b*x + a)^2*a^2*b)","A",0
368,1,86,0,1.245558," ","integrate((B*x+A)/x^(3/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{3 \, {\left(B a - 5 \, A b\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{3}} - \frac{2 \, A}{a^{3} \sqrt{x}} + \frac{3 \, B a b x^{\frac{3}{2}} - 7 \, A b^{2} x^{\frac{3}{2}} + 5 \, B a^{2} \sqrt{x} - 9 \, A a b \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a^{3}}"," ",0,"3/4*(B*a - 5*A*b)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3) - 2*A/(a^3*sqrt(x)) + 1/4*(3*B*a*b*x^(3/2) - 7*A*b^2*x^(3/2) + 5*B*a^2*sqrt(x) - 9*A*a*b*sqrt(x))/((b*x + a)^2*a^3)","A",0
369,1,108,0,1.214849," ","integrate((B*x+A)/x^(5/2)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{5 \, {\left(3 \, B a b - 7 \, A b^{2}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{4}} - \frac{2 \, {\left(3 \, B a x - 9 \, A b x + A a\right)}}{3 \, a^{4} x^{\frac{3}{2}}} - \frac{7 \, B a b^{2} x^{\frac{3}{2}} - 11 \, A b^{3} x^{\frac{3}{2}} + 9 \, B a^{2} b \sqrt{x} - 13 \, A a b^{2} \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a^{4}}"," ",0,"-5/4*(3*B*a*b - 7*A*b^2)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4) - 2/3*(3*B*a*x - 9*A*b*x + A*a)/(a^4*x^(3/2)) - 1/4*(7*B*a*b^2*x^(3/2) - 11*A*b^3*x^(3/2) + 9*B*a^2*b*sqrt(x) - 13*A*a*b^2*sqrt(x))/((b*x + a)^2*a^4)","A",0
370,1,135,0,1.208473," ","integrate((B*x+A)/x^(7/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{7 \, {\left(5 \, B a b^{2} - 9 \, A b^{3}\right)} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{5}} + \frac{11 \, B a b^{3} x^{\frac{3}{2}} - 15 \, A b^{4} x^{\frac{3}{2}} + 13 \, B a^{2} b^{2} \sqrt{x} - 17 \, A a b^{3} \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a^{5}} + \frac{2 \, {\left(45 \, B a b x^{2} - 90 \, A b^{2} x^{2} - 5 \, B a^{2} x + 15 \, A a b x - 3 \, A a^{2}\right)}}{15 \, a^{5} x^{\frac{5}{2}}}"," ",0,"7/4*(5*B*a*b^2 - 9*A*b^3)*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^5) + 1/4*(11*B*a*b^3*x^(3/2) - 15*A*b^4*x^(3/2) + 13*B*a^2*b^2*sqrt(x) - 17*A*a*b^3*sqrt(x))/((b*x + a)^2*a^5) + 2/15*(45*B*a*b*x^2 - 90*A*b^2*x^2 - 5*B*a^2*x + 15*A*a*b*x - 3*A*a^2)/(a^5*x^(5/2))","A",0
371,1,926,0,1.388421," ","integrate(x^m*(b*x+a)^4*(B*x+A),x, algorithm=""giac"")","\frac{B b^{4} m^{5} x^{6} x^{m} + 4 \, B a b^{3} m^{5} x^{5} x^{m} + A b^{4} m^{5} x^{5} x^{m} + 15 \, B b^{4} m^{4} x^{6} x^{m} + 6 \, B a^{2} b^{2} m^{5} x^{4} x^{m} + 4 \, A a b^{3} m^{5} x^{4} x^{m} + 64 \, B a b^{3} m^{4} x^{5} x^{m} + 16 \, A b^{4} m^{4} x^{5} x^{m} + 85 \, B b^{4} m^{3} x^{6} x^{m} + 4 \, B a^{3} b m^{5} x^{3} x^{m} + 6 \, A a^{2} b^{2} m^{5} x^{3} x^{m} + 102 \, B a^{2} b^{2} m^{4} x^{4} x^{m} + 68 \, A a b^{3} m^{4} x^{4} x^{m} + 380 \, B a b^{3} m^{3} x^{5} x^{m} + 95 \, A b^{4} m^{3} x^{5} x^{m} + 225 \, B b^{4} m^{2} x^{6} x^{m} + B a^{4} m^{5} x^{2} x^{m} + 4 \, A a^{3} b m^{5} x^{2} x^{m} + 72 \, B a^{3} b m^{4} x^{3} x^{m} + 108 \, A a^{2} b^{2} m^{4} x^{3} x^{m} + 642 \, B a^{2} b^{2} m^{3} x^{4} x^{m} + 428 \, A a b^{3} m^{3} x^{4} x^{m} + 1040 \, B a b^{3} m^{2} x^{5} x^{m} + 260 \, A b^{4} m^{2} x^{5} x^{m} + 274 \, B b^{4} m x^{6} x^{m} + A a^{4} m^{5} x x^{m} + 19 \, B a^{4} m^{4} x^{2} x^{m} + 76 \, A a^{3} b m^{4} x^{2} x^{m} + 484 \, B a^{3} b m^{3} x^{3} x^{m} + 726 \, A a^{2} b^{2} m^{3} x^{3} x^{m} + 1842 \, B a^{2} b^{2} m^{2} x^{4} x^{m} + 1228 \, A a b^{3} m^{2} x^{4} x^{m} + 1296 \, B a b^{3} m x^{5} x^{m} + 324 \, A b^{4} m x^{5} x^{m} + 120 \, B b^{4} x^{6} x^{m} + 20 \, A a^{4} m^{4} x x^{m} + 137 \, B a^{4} m^{3} x^{2} x^{m} + 548 \, A a^{3} b m^{3} x^{2} x^{m} + 1488 \, B a^{3} b m^{2} x^{3} x^{m} + 2232 \, A a^{2} b^{2} m^{2} x^{3} x^{m} + 2376 \, B a^{2} b^{2} m x^{4} x^{m} + 1584 \, A a b^{3} m x^{4} x^{m} + 576 \, B a b^{3} x^{5} x^{m} + 144 \, A b^{4} x^{5} x^{m} + 155 \, A a^{4} m^{3} x x^{m} + 461 \, B a^{4} m^{2} x^{2} x^{m} + 1844 \, A a^{3} b m^{2} x^{2} x^{m} + 2032 \, B a^{3} b m x^{3} x^{m} + 3048 \, A a^{2} b^{2} m x^{3} x^{m} + 1080 \, B a^{2} b^{2} x^{4} x^{m} + 720 \, A a b^{3} x^{4} x^{m} + 580 \, A a^{4} m^{2} x x^{m} + 702 \, B a^{4} m x^{2} x^{m} + 2808 \, A a^{3} b m x^{2} x^{m} + 960 \, B a^{3} b x^{3} x^{m} + 1440 \, A a^{2} b^{2} x^{3} x^{m} + 1044 \, A a^{4} m x x^{m} + 360 \, B a^{4} x^{2} x^{m} + 1440 \, A a^{3} b x^{2} x^{m} + 720 \, A a^{4} x x^{m}}{m^{6} + 21 \, m^{5} + 175 \, m^{4} + 735 \, m^{3} + 1624 \, m^{2} + 1764 \, m + 720}"," ",0,"(B*b^4*m^5*x^6*x^m + 4*B*a*b^3*m^5*x^5*x^m + A*b^4*m^5*x^5*x^m + 15*B*b^4*m^4*x^6*x^m + 6*B*a^2*b^2*m^5*x^4*x^m + 4*A*a*b^3*m^5*x^4*x^m + 64*B*a*b^3*m^4*x^5*x^m + 16*A*b^4*m^4*x^5*x^m + 85*B*b^4*m^3*x^6*x^m + 4*B*a^3*b*m^5*x^3*x^m + 6*A*a^2*b^2*m^5*x^3*x^m + 102*B*a^2*b^2*m^4*x^4*x^m + 68*A*a*b^3*m^4*x^4*x^m + 380*B*a*b^3*m^3*x^5*x^m + 95*A*b^4*m^3*x^5*x^m + 225*B*b^4*m^2*x^6*x^m + B*a^4*m^5*x^2*x^m + 4*A*a^3*b*m^5*x^2*x^m + 72*B*a^3*b*m^4*x^3*x^m + 108*A*a^2*b^2*m^4*x^3*x^m + 642*B*a^2*b^2*m^3*x^4*x^m + 428*A*a*b^3*m^3*x^4*x^m + 1040*B*a*b^3*m^2*x^5*x^m + 260*A*b^4*m^2*x^5*x^m + 274*B*b^4*m*x^6*x^m + A*a^4*m^5*x*x^m + 19*B*a^4*m^4*x^2*x^m + 76*A*a^3*b*m^4*x^2*x^m + 484*B*a^3*b*m^3*x^3*x^m + 726*A*a^2*b^2*m^3*x^3*x^m + 1842*B*a^2*b^2*m^2*x^4*x^m + 1228*A*a*b^3*m^2*x^4*x^m + 1296*B*a*b^3*m*x^5*x^m + 324*A*b^4*m*x^5*x^m + 120*B*b^4*x^6*x^m + 20*A*a^4*m^4*x*x^m + 137*B*a^4*m^3*x^2*x^m + 548*A*a^3*b*m^3*x^2*x^m + 1488*B*a^3*b*m^2*x^3*x^m + 2232*A*a^2*b^2*m^2*x^3*x^m + 2376*B*a^2*b^2*m*x^4*x^m + 1584*A*a*b^3*m*x^4*x^m + 576*B*a*b^3*x^5*x^m + 144*A*b^4*x^5*x^m + 155*A*a^4*m^3*x*x^m + 461*B*a^4*m^2*x^2*x^m + 1844*A*a^3*b*m^2*x^2*x^m + 2032*B*a^3*b*m*x^3*x^m + 3048*A*a^2*b^2*m*x^3*x^m + 1080*B*a^2*b^2*x^4*x^m + 720*A*a*b^3*x^4*x^m + 580*A*a^4*m^2*x*x^m + 702*B*a^4*m*x^2*x^m + 2808*A*a^3*b*m*x^2*x^m + 960*B*a^3*b*x^3*x^m + 1440*A*a^2*b^2*x^3*x^m + 1044*A*a^4*m*x*x^m + 360*B*a^4*x^2*x^m + 1440*A*a^3*b*x^2*x^m + 720*A*a^4*x*x^m)/(m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)","B",0
372,1,593,0,1.358044," ","integrate(x^m*(b*x+a)^3*(B*x+A),x, algorithm=""giac"")","\frac{B b^{3} m^{4} x^{5} x^{m} + 3 \, B a b^{2} m^{4} x^{4} x^{m} + A b^{3} m^{4} x^{4} x^{m} + 10 \, B b^{3} m^{3} x^{5} x^{m} + 3 \, B a^{2} b m^{4} x^{3} x^{m} + 3 \, A a b^{2} m^{4} x^{3} x^{m} + 33 \, B a b^{2} m^{3} x^{4} x^{m} + 11 \, A b^{3} m^{3} x^{4} x^{m} + 35 \, B b^{3} m^{2} x^{5} x^{m} + B a^{3} m^{4} x^{2} x^{m} + 3 \, A a^{2} b m^{4} x^{2} x^{m} + 36 \, B a^{2} b m^{3} x^{3} x^{m} + 36 \, A a b^{2} m^{3} x^{3} x^{m} + 123 \, B a b^{2} m^{2} x^{4} x^{m} + 41 \, A b^{3} m^{2} x^{4} x^{m} + 50 \, B b^{3} m x^{5} x^{m} + A a^{3} m^{4} x x^{m} + 13 \, B a^{3} m^{3} x^{2} x^{m} + 39 \, A a^{2} b m^{3} x^{2} x^{m} + 147 \, B a^{2} b m^{2} x^{3} x^{m} + 147 \, A a b^{2} m^{2} x^{3} x^{m} + 183 \, B a b^{2} m x^{4} x^{m} + 61 \, A b^{3} m x^{4} x^{m} + 24 \, B b^{3} x^{5} x^{m} + 14 \, A a^{3} m^{3} x x^{m} + 59 \, B a^{3} m^{2} x^{2} x^{m} + 177 \, A a^{2} b m^{2} x^{2} x^{m} + 234 \, B a^{2} b m x^{3} x^{m} + 234 \, A a b^{2} m x^{3} x^{m} + 90 \, B a b^{2} x^{4} x^{m} + 30 \, A b^{3} x^{4} x^{m} + 71 \, A a^{3} m^{2} x x^{m} + 107 \, B a^{3} m x^{2} x^{m} + 321 \, A a^{2} b m x^{2} x^{m} + 120 \, B a^{2} b x^{3} x^{m} + 120 \, A a b^{2} x^{3} x^{m} + 154 \, A a^{3} m x x^{m} + 60 \, B a^{3} x^{2} x^{m} + 180 \, A a^{2} b x^{2} x^{m} + 120 \, A a^{3} x x^{m}}{m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120}"," ",0,"(B*b^3*m^4*x^5*x^m + 3*B*a*b^2*m^4*x^4*x^m + A*b^3*m^4*x^4*x^m + 10*B*b^3*m^3*x^5*x^m + 3*B*a^2*b*m^4*x^3*x^m + 3*A*a*b^2*m^4*x^3*x^m + 33*B*a*b^2*m^3*x^4*x^m + 11*A*b^3*m^3*x^4*x^m + 35*B*b^3*m^2*x^5*x^m + B*a^3*m^4*x^2*x^m + 3*A*a^2*b*m^4*x^2*x^m + 36*B*a^2*b*m^3*x^3*x^m + 36*A*a*b^2*m^3*x^3*x^m + 123*B*a*b^2*m^2*x^4*x^m + 41*A*b^3*m^2*x^4*x^m + 50*B*b^3*m*x^5*x^m + A*a^3*m^4*x*x^m + 13*B*a^3*m^3*x^2*x^m + 39*A*a^2*b*m^3*x^2*x^m + 147*B*a^2*b*m^2*x^3*x^m + 147*A*a*b^2*m^2*x^3*x^m + 183*B*a*b^2*m*x^4*x^m + 61*A*b^3*m*x^4*x^m + 24*B*b^3*x^5*x^m + 14*A*a^3*m^3*x*x^m + 59*B*a^3*m^2*x^2*x^m + 177*A*a^2*b*m^2*x^2*x^m + 234*B*a^2*b*m*x^3*x^m + 234*A*a*b^2*m*x^3*x^m + 90*B*a*b^2*x^4*x^m + 30*A*b^3*x^4*x^m + 71*A*a^3*m^2*x*x^m + 107*B*a^3*m*x^2*x^m + 321*A*a^2*b*m*x^2*x^m + 120*B*a^2*b*x^3*x^m + 120*A*a*b^2*x^3*x^m + 154*A*a^3*m*x*x^m + 60*B*a^3*x^2*x^m + 180*A*a^2*b*x^2*x^m + 120*A*a^3*x*x^m)/(m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)","B",0
373,1,332,0,1.302583," ","integrate(x^m*(b*x+a)^2*(B*x+A),x, algorithm=""giac"")","\frac{B b^{2} m^{3} x^{4} x^{m} + 2 \, B a b m^{3} x^{3} x^{m} + A b^{2} m^{3} x^{3} x^{m} + 6 \, B b^{2} m^{2} x^{4} x^{m} + B a^{2} m^{3} x^{2} x^{m} + 2 \, A a b m^{3} x^{2} x^{m} + 14 \, B a b m^{2} x^{3} x^{m} + 7 \, A b^{2} m^{2} x^{3} x^{m} + 11 \, B b^{2} m x^{4} x^{m} + A a^{2} m^{3} x x^{m} + 8 \, B a^{2} m^{2} x^{2} x^{m} + 16 \, A a b m^{2} x^{2} x^{m} + 28 \, B a b m x^{3} x^{m} + 14 \, A b^{2} m x^{3} x^{m} + 6 \, B b^{2} x^{4} x^{m} + 9 \, A a^{2} m^{2} x x^{m} + 19 \, B a^{2} m x^{2} x^{m} + 38 \, A a b m x^{2} x^{m} + 16 \, B a b x^{3} x^{m} + 8 \, A b^{2} x^{3} x^{m} + 26 \, A a^{2} m x x^{m} + 12 \, B a^{2} x^{2} x^{m} + 24 \, A a b x^{2} x^{m} + 24 \, A a^{2} x x^{m}}{m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24}"," ",0,"(B*b^2*m^3*x^4*x^m + 2*B*a*b*m^3*x^3*x^m + A*b^2*m^3*x^3*x^m + 6*B*b^2*m^2*x^4*x^m + B*a^2*m^3*x^2*x^m + 2*A*a*b*m^3*x^2*x^m + 14*B*a*b*m^2*x^3*x^m + 7*A*b^2*m^2*x^3*x^m + 11*B*b^2*m*x^4*x^m + A*a^2*m^3*x*x^m + 8*B*a^2*m^2*x^2*x^m + 16*A*a*b*m^2*x^2*x^m + 28*B*a*b*m*x^3*x^m + 14*A*b^2*m*x^3*x^m + 6*B*b^2*x^4*x^m + 9*A*a^2*m^2*x*x^m + 19*B*a^2*m*x^2*x^m + 38*A*a*b*m*x^2*x^m + 16*B*a*b*x^3*x^m + 8*A*b^2*x^3*x^m + 26*A*a^2*m*x*x^m + 12*B*a^2*x^2*x^m + 24*A*a*b*x^2*x^m + 24*A*a^2*x*x^m)/(m^4 + 10*m^3 + 35*m^2 + 50*m + 24)","B",0
374,1,143,0,1.283184," ","integrate(x^m*(b*x+a)*(B*x+A),x, algorithm=""giac"")","\frac{B b m^{2} x^{3} x^{m} + B a m^{2} x^{2} x^{m} + A b m^{2} x^{2} x^{m} + 3 \, B b m x^{3} x^{m} + A a m^{2} x x^{m} + 4 \, B a m x^{2} x^{m} + 4 \, A b m x^{2} x^{m} + 2 \, B b x^{3} x^{m} + 5 \, A a m x x^{m} + 3 \, B a x^{2} x^{m} + 3 \, A b x^{2} x^{m} + 6 \, A a x x^{m}}{m^{3} + 6 \, m^{2} + 11 \, m + 6}"," ",0,"(B*b*m^2*x^3*x^m + B*a*m^2*x^2*x^m + A*b*m^2*x^2*x^m + 3*B*b*m*x^3*x^m + A*a*m^2*x*x^m + 4*B*a*m*x^2*x^m + 4*A*b*m*x^2*x^m + 2*B*b*x^3*x^m + 5*A*a*m*x*x^m + 3*B*a*x^2*x^m + 3*A*b*x^2*x^m + 6*A*a*x*x^m)/(m^3 + 6*m^2 + 11*m + 6)","B",0
375,0,0,0,0.000000," ","integrate(x^m*(B*x+A)/(b*x+a),x, algorithm=""giac"")","\int \frac{{\left(B x + A\right)} x^{m}}{b x + a}\,{d x}"," ",0,"integrate((B*x + A)*x^m/(b*x + a), x)","F",0
376,0,0,0,0.000000," ","integrate(x^m*(B*x+A)/(b*x+a)^2,x, algorithm=""giac"")","\int \frac{{\left(B x + A\right)} x^{m}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x + A)*x^m/(b*x + a)^2, x)","F",0
377,0,0,0,0.000000," ","integrate(x^m*(B*x+A)/(b*x+a)^3,x, algorithm=""giac"")","\int \frac{{\left(B x + A\right)} x^{m}}{{\left(b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*x + A)*x^m/(b*x + a)^3, x)","F",0
378,1,2524,0,1.609117," ","integrate(x^m*(b*x+a)^2*(d*x+c)^5,x, algorithm=""giac"")","\frac{b^{2} d^{5} m^{7} x^{8} x^{m} + 5 \, b^{2} c d^{4} m^{7} x^{7} x^{m} + 2 \, a b d^{5} m^{7} x^{7} x^{m} + 28 \, b^{2} d^{5} m^{6} x^{8} x^{m} + 10 \, b^{2} c^{2} d^{3} m^{7} x^{6} x^{m} + 10 \, a b c d^{4} m^{7} x^{6} x^{m} + a^{2} d^{5} m^{7} x^{6} x^{m} + 145 \, b^{2} c d^{4} m^{6} x^{7} x^{m} + 58 \, a b d^{5} m^{6} x^{7} x^{m} + 322 \, b^{2} d^{5} m^{5} x^{8} x^{m} + 10 \, b^{2} c^{3} d^{2} m^{7} x^{5} x^{m} + 20 \, a b c^{2} d^{3} m^{7} x^{5} x^{m} + 5 \, a^{2} c d^{4} m^{7} x^{5} x^{m} + 300 \, b^{2} c^{2} d^{3} m^{6} x^{6} x^{m} + 300 \, a b c d^{4} m^{6} x^{6} x^{m} + 30 \, a^{2} d^{5} m^{6} x^{6} x^{m} + 1715 \, b^{2} c d^{4} m^{5} x^{7} x^{m} + 686 \, a b d^{5} m^{5} x^{7} x^{m} + 1960 \, b^{2} d^{5} m^{4} x^{8} x^{m} + 5 \, b^{2} c^{4} d m^{7} x^{4} x^{m} + 20 \, a b c^{3} d^{2} m^{7} x^{4} x^{m} + 10 \, a^{2} c^{2} d^{3} m^{7} x^{4} x^{m} + 310 \, b^{2} c^{3} d^{2} m^{6} x^{5} x^{m} + 620 \, a b c^{2} d^{3} m^{6} x^{5} x^{m} + 155 \, a^{2} c d^{4} m^{6} x^{5} x^{m} + 3660 \, b^{2} c^{2} d^{3} m^{5} x^{6} x^{m} + 3660 \, a b c d^{4} m^{5} x^{6} x^{m} + 366 \, a^{2} d^{5} m^{5} x^{6} x^{m} + 10675 \, b^{2} c d^{4} m^{4} x^{7} x^{m} + 4270 \, a b d^{5} m^{4} x^{7} x^{m} + 6769 \, b^{2} d^{5} m^{3} x^{8} x^{m} + b^{2} c^{5} m^{7} x^{3} x^{m} + 10 \, a b c^{4} d m^{7} x^{3} x^{m} + 10 \, a^{2} c^{3} d^{2} m^{7} x^{3} x^{m} + 160 \, b^{2} c^{4} d m^{6} x^{4} x^{m} + 640 \, a b c^{3} d^{2} m^{6} x^{4} x^{m} + 320 \, a^{2} c^{2} d^{3} m^{6} x^{4} x^{m} + 3910 \, b^{2} c^{3} d^{2} m^{5} x^{5} x^{m} + 7820 \, a b c^{2} d^{3} m^{5} x^{5} x^{m} + 1955 \, a^{2} c d^{4} m^{5} x^{5} x^{m} + 23400 \, b^{2} c^{2} d^{3} m^{4} x^{6} x^{m} + 23400 \, a b c d^{4} m^{4} x^{6} x^{m} + 2340 \, a^{2} d^{5} m^{4} x^{6} x^{m} + 37520 \, b^{2} c d^{4} m^{3} x^{7} x^{m} + 15008 \, a b d^{5} m^{3} x^{7} x^{m} + 13132 \, b^{2} d^{5} m^{2} x^{8} x^{m} + 2 \, a b c^{5} m^{7} x^{2} x^{m} + 5 \, a^{2} c^{4} d m^{7} x^{2} x^{m} + 33 \, b^{2} c^{5} m^{6} x^{3} x^{m} + 330 \, a b c^{4} d m^{6} x^{3} x^{m} + 330 \, a^{2} c^{3} d^{2} m^{6} x^{3} x^{m} + 2090 \, b^{2} c^{4} d m^{5} x^{4} x^{m} + 8360 \, a b c^{3} d^{2} m^{5} x^{4} x^{m} + 4180 \, a^{2} c^{2} d^{3} m^{5} x^{4} x^{m} + 25810 \, b^{2} c^{3} d^{2} m^{4} x^{5} x^{m} + 51620 \, a b c^{2} d^{3} m^{4} x^{5} x^{m} + 12905 \, a^{2} c d^{4} m^{4} x^{5} x^{m} + 84090 \, b^{2} c^{2} d^{3} m^{3} x^{6} x^{m} + 84090 \, a b c d^{4} m^{3} x^{6} x^{m} + 8409 \, a^{2} d^{5} m^{3} x^{6} x^{m} + 73780 \, b^{2} c d^{4} m^{2} x^{7} x^{m} + 29512 \, a b d^{5} m^{2} x^{7} x^{m} + 13068 \, b^{2} d^{5} m x^{8} x^{m} + a^{2} c^{5} m^{7} x x^{m} + 68 \, a b c^{5} m^{6} x^{2} x^{m} + 170 \, a^{2} c^{4} d m^{6} x^{2} x^{m} + 447 \, b^{2} c^{5} m^{5} x^{3} x^{m} + 4470 \, a b c^{4} d m^{5} x^{3} x^{m} + 4470 \, a^{2} c^{3} d^{2} m^{5} x^{3} x^{m} + 14320 \, b^{2} c^{4} d m^{4} x^{4} x^{m} + 57280 \, a b c^{3} d^{2} m^{4} x^{4} x^{m} + 28640 \, a^{2} c^{2} d^{3} m^{4} x^{4} x^{m} + 95440 \, b^{2} c^{3} d^{2} m^{3} x^{5} x^{m} + 190880 \, a b c^{2} d^{3} m^{3} x^{5} x^{m} + 47720 \, a^{2} c d^{4} m^{3} x^{5} x^{m} + 168300 \, b^{2} c^{2} d^{3} m^{2} x^{6} x^{m} + 168300 \, a b c d^{4} m^{2} x^{6} x^{m} + 16830 \, a^{2} d^{5} m^{2} x^{6} x^{m} + 74160 \, b^{2} c d^{4} m x^{7} x^{m} + 29664 \, a b d^{5} m x^{7} x^{m} + 5040 \, b^{2} d^{5} x^{8} x^{m} + 35 \, a^{2} c^{5} m^{6} x x^{m} + 956 \, a b c^{5} m^{5} x^{2} x^{m} + 2390 \, a^{2} c^{4} d m^{5} x^{2} x^{m} + 3195 \, b^{2} c^{5} m^{4} x^{3} x^{m} + 31950 \, a b c^{4} d m^{4} x^{3} x^{m} + 31950 \, a^{2} c^{3} d^{2} m^{4} x^{3} x^{m} + 54965 \, b^{2} c^{4} d m^{3} x^{4} x^{m} + 219860 \, a b c^{3} d^{2} m^{3} x^{4} x^{m} + 109930 \, a^{2} c^{2} d^{3} m^{3} x^{4} x^{m} + 195640 \, b^{2} c^{3} d^{2} m^{2} x^{5} x^{m} + 391280 \, a b c^{2} d^{3} m^{2} x^{5} x^{m} + 97820 \, a^{2} c d^{4} m^{2} x^{5} x^{m} + 171440 \, b^{2} c^{2} d^{3} m x^{6} x^{m} + 171440 \, a b c d^{4} m x^{6} x^{m} + 17144 \, a^{2} d^{5} m x^{6} x^{m} + 28800 \, b^{2} c d^{4} x^{7} x^{m} + 11520 \, a b d^{5} x^{7} x^{m} + 511 \, a^{2} c^{5} m^{5} x x^{m} + 7160 \, a b c^{5} m^{4} x^{2} x^{m} + 17900 \, a^{2} c^{4} d m^{4} x^{2} x^{m} + 12864 \, b^{2} c^{5} m^{3} x^{3} x^{m} + 128640 \, a b c^{4} d m^{3} x^{3} x^{m} + 128640 \, a^{2} c^{3} d^{2} m^{3} x^{3} x^{m} + 116560 \, b^{2} c^{4} d m^{2} x^{4} x^{m} + 466240 \, a b c^{3} d^{2} m^{2} x^{4} x^{m} + 233120 \, a^{2} c^{2} d^{3} m^{2} x^{4} x^{m} + 203040 \, b^{2} c^{3} d^{2} m x^{5} x^{m} + 406080 \, a b c^{2} d^{3} m x^{5} x^{m} + 101520 \, a^{2} c d^{4} m x^{5} x^{m} + 67200 \, b^{2} c^{2} d^{3} x^{6} x^{m} + 67200 \, a b c d^{4} x^{6} x^{m} + 6720 \, a^{2} d^{5} x^{6} x^{m} + 4025 \, a^{2} c^{5} m^{4} x x^{m} + 30578 \, a b c^{5} m^{3} x^{2} x^{m} + 76445 \, a^{2} c^{4} d m^{3} x^{2} x^{m} + 28692 \, b^{2} c^{5} m^{2} x^{3} x^{m} + 286920 \, a b c^{4} d m^{2} x^{3} x^{m} + 286920 \, a^{2} c^{3} d^{2} m^{2} x^{3} x^{m} + 124380 \, b^{2} c^{4} d m x^{4} x^{m} + 497520 \, a b c^{3} d^{2} m x^{4} x^{m} + 248760 \, a^{2} c^{2} d^{3} m x^{4} x^{m} + 80640 \, b^{2} c^{3} d^{2} x^{5} x^{m} + 161280 \, a b c^{2} d^{3} x^{5} x^{m} + 40320 \, a^{2} c d^{4} x^{5} x^{m} + 18424 \, a^{2} c^{5} m^{3} x x^{m} + 73412 \, a b c^{5} m^{2} x^{2} x^{m} + 183530 \, a^{2} c^{4} d m^{2} x^{2} x^{m} + 32048 \, b^{2} c^{5} m x^{3} x^{m} + 320480 \, a b c^{4} d m x^{3} x^{m} + 320480 \, a^{2} c^{3} d^{2} m x^{3} x^{m} + 50400 \, b^{2} c^{4} d x^{4} x^{m} + 201600 \, a b c^{3} d^{2} x^{4} x^{m} + 100800 \, a^{2} c^{2} d^{3} x^{4} x^{m} + 48860 \, a^{2} c^{5} m^{2} x x^{m} + 89424 \, a b c^{5} m x^{2} x^{m} + 223560 \, a^{2} c^{4} d m x^{2} x^{m} + 13440 \, b^{2} c^{5} x^{3} x^{m} + 134400 \, a b c^{4} d x^{3} x^{m} + 134400 \, a^{2} c^{3} d^{2} x^{3} x^{m} + 69264 \, a^{2} c^{5} m x x^{m} + 40320 \, a b c^{5} x^{2} x^{m} + 100800 \, a^{2} c^{4} d x^{2} x^{m} + 40320 \, a^{2} c^{5} 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^2*d^5*m^7*x^8*x^m + 5*b^2*c*d^4*m^7*x^7*x^m + 2*a*b*d^5*m^7*x^7*x^m + 28*b^2*d^5*m^6*x^8*x^m + 10*b^2*c^2*d^3*m^7*x^6*x^m + 10*a*b*c*d^4*m^7*x^6*x^m + a^2*d^5*m^7*x^6*x^m + 145*b^2*c*d^4*m^6*x^7*x^m + 58*a*b*d^5*m^6*x^7*x^m + 322*b^2*d^5*m^5*x^8*x^m + 10*b^2*c^3*d^2*m^7*x^5*x^m + 20*a*b*c^2*d^3*m^7*x^5*x^m + 5*a^2*c*d^4*m^7*x^5*x^m + 300*b^2*c^2*d^3*m^6*x^6*x^m + 300*a*b*c*d^4*m^6*x^6*x^m + 30*a^2*d^5*m^6*x^6*x^m + 1715*b^2*c*d^4*m^5*x^7*x^m + 686*a*b*d^5*m^5*x^7*x^m + 1960*b^2*d^5*m^4*x^8*x^m + 5*b^2*c^4*d*m^7*x^4*x^m + 20*a*b*c^3*d^2*m^7*x^4*x^m + 10*a^2*c^2*d^3*m^7*x^4*x^m + 310*b^2*c^3*d^2*m^6*x^5*x^m + 620*a*b*c^2*d^3*m^6*x^5*x^m + 155*a^2*c*d^4*m^6*x^5*x^m + 3660*b^2*c^2*d^3*m^5*x^6*x^m + 3660*a*b*c*d^4*m^5*x^6*x^m + 366*a^2*d^5*m^5*x^6*x^m + 10675*b^2*c*d^4*m^4*x^7*x^m + 4270*a*b*d^5*m^4*x^7*x^m + 6769*b^2*d^5*m^3*x^8*x^m + b^2*c^5*m^7*x^3*x^m + 10*a*b*c^4*d*m^7*x^3*x^m + 10*a^2*c^3*d^2*m^7*x^3*x^m + 160*b^2*c^4*d*m^6*x^4*x^m + 640*a*b*c^3*d^2*m^6*x^4*x^m + 320*a^2*c^2*d^3*m^6*x^4*x^m + 3910*b^2*c^3*d^2*m^5*x^5*x^m + 7820*a*b*c^2*d^3*m^5*x^5*x^m + 1955*a^2*c*d^4*m^5*x^5*x^m + 23400*b^2*c^2*d^3*m^4*x^6*x^m + 23400*a*b*c*d^4*m^4*x^6*x^m + 2340*a^2*d^5*m^4*x^6*x^m + 37520*b^2*c*d^4*m^3*x^7*x^m + 15008*a*b*d^5*m^3*x^7*x^m + 13132*b^2*d^5*m^2*x^8*x^m + 2*a*b*c^5*m^7*x^2*x^m + 5*a^2*c^4*d*m^7*x^2*x^m + 33*b^2*c^5*m^6*x^3*x^m + 330*a*b*c^4*d*m^6*x^3*x^m + 330*a^2*c^3*d^2*m^6*x^3*x^m + 2090*b^2*c^4*d*m^5*x^4*x^m + 8360*a*b*c^3*d^2*m^5*x^4*x^m + 4180*a^2*c^2*d^3*m^5*x^4*x^m + 25810*b^2*c^3*d^2*m^4*x^5*x^m + 51620*a*b*c^2*d^3*m^4*x^5*x^m + 12905*a^2*c*d^4*m^4*x^5*x^m + 84090*b^2*c^2*d^3*m^3*x^6*x^m + 84090*a*b*c*d^4*m^3*x^6*x^m + 8409*a^2*d^5*m^3*x^6*x^m + 73780*b^2*c*d^4*m^2*x^7*x^m + 29512*a*b*d^5*m^2*x^7*x^m + 13068*b^2*d^5*m*x^8*x^m + a^2*c^5*m^7*x*x^m + 68*a*b*c^5*m^6*x^2*x^m + 170*a^2*c^4*d*m^6*x^2*x^m + 447*b^2*c^5*m^5*x^3*x^m + 4470*a*b*c^4*d*m^5*x^3*x^m + 4470*a^2*c^3*d^2*m^5*x^3*x^m + 14320*b^2*c^4*d*m^4*x^4*x^m + 57280*a*b*c^3*d^2*m^4*x^4*x^m + 28640*a^2*c^2*d^3*m^4*x^4*x^m + 95440*b^2*c^3*d^2*m^3*x^5*x^m + 190880*a*b*c^2*d^3*m^3*x^5*x^m + 47720*a^2*c*d^4*m^3*x^5*x^m + 168300*b^2*c^2*d^3*m^2*x^6*x^m + 168300*a*b*c*d^4*m^2*x^6*x^m + 16830*a^2*d^5*m^2*x^6*x^m + 74160*b^2*c*d^4*m*x^7*x^m + 29664*a*b*d^5*m*x^7*x^m + 5040*b^2*d^5*x^8*x^m + 35*a^2*c^5*m^6*x*x^m + 956*a*b*c^5*m^5*x^2*x^m + 2390*a^2*c^4*d*m^5*x^2*x^m + 3195*b^2*c^5*m^4*x^3*x^m + 31950*a*b*c^4*d*m^4*x^3*x^m + 31950*a^2*c^3*d^2*m^4*x^3*x^m + 54965*b^2*c^4*d*m^3*x^4*x^m + 219860*a*b*c^3*d^2*m^3*x^4*x^m + 109930*a^2*c^2*d^3*m^3*x^4*x^m + 195640*b^2*c^3*d^2*m^2*x^5*x^m + 391280*a*b*c^2*d^3*m^2*x^5*x^m + 97820*a^2*c*d^4*m^2*x^5*x^m + 171440*b^2*c^2*d^3*m*x^6*x^m + 171440*a*b*c*d^4*m*x^6*x^m + 17144*a^2*d^5*m*x^6*x^m + 28800*b^2*c*d^4*x^7*x^m + 11520*a*b*d^5*x^7*x^m + 511*a^2*c^5*m^5*x*x^m + 7160*a*b*c^5*m^4*x^2*x^m + 17900*a^2*c^4*d*m^4*x^2*x^m + 12864*b^2*c^5*m^3*x^3*x^m + 128640*a*b*c^4*d*m^3*x^3*x^m + 128640*a^2*c^3*d^2*m^3*x^3*x^m + 116560*b^2*c^4*d*m^2*x^4*x^m + 466240*a*b*c^3*d^2*m^2*x^4*x^m + 233120*a^2*c^2*d^3*m^2*x^4*x^m + 203040*b^2*c^3*d^2*m*x^5*x^m + 406080*a*b*c^2*d^3*m*x^5*x^m + 101520*a^2*c*d^4*m*x^5*x^m + 67200*b^2*c^2*d^3*x^6*x^m + 67200*a*b*c*d^4*x^6*x^m + 6720*a^2*d^5*x^6*x^m + 4025*a^2*c^5*m^4*x*x^m + 30578*a*b*c^5*m^3*x^2*x^m + 76445*a^2*c^4*d*m^3*x^2*x^m + 28692*b^2*c^5*m^2*x^3*x^m + 286920*a*b*c^4*d*m^2*x^3*x^m + 286920*a^2*c^3*d^2*m^2*x^3*x^m + 124380*b^2*c^4*d*m*x^4*x^m + 497520*a*b*c^3*d^2*m*x^4*x^m + 248760*a^2*c^2*d^3*m*x^4*x^m + 80640*b^2*c^3*d^2*x^5*x^m + 161280*a*b*c^2*d^3*x^5*x^m + 40320*a^2*c*d^4*x^5*x^m + 18424*a^2*c^5*m^3*x*x^m + 73412*a*b*c^5*m^2*x^2*x^m + 183530*a^2*c^4*d*m^2*x^2*x^m + 32048*b^2*c^5*m*x^3*x^m + 320480*a*b*c^4*d*m*x^3*x^m + 320480*a^2*c^3*d^2*m*x^3*x^m + 50400*b^2*c^4*d*x^4*x^m + 201600*a*b*c^3*d^2*x^4*x^m + 100800*a^2*c^2*d^3*x^4*x^m + 48860*a^2*c^5*m^2*x*x^m + 89424*a*b*c^5*m*x^2*x^m + 223560*a^2*c^4*d*m*x^2*x^m + 13440*b^2*c^5*x^3*x^m + 134400*a*b*c^4*d*x^3*x^m + 134400*a^2*c^3*d^2*x^3*x^m + 69264*a^2*c^5*m*x*x^m + 40320*a*b*c^5*x^2*x^m + 100800*a^2*c^4*d*x^2*x^m + 40320*a^2*c^5*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
379,0,0,0,0.000000," ","integrate(x^m*(d*x+c)^3/(b*x+a),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3} x^{m}}{b x + a}\,{d x}"," ",0,"integrate((d*x + c)^3*x^m/(b*x + a), x)","F",0
380,0,0,0,0.000000," ","integrate(x^m*(d*x+c)^2/(b*x+a),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2} x^{m}}{b x + a}\,{d x}"," ",0,"integrate((d*x + c)^2*x^m/(b*x + a), x)","F",0
381,0,0,0,0.000000," ","integrate(x^m*(d*x+c)/(b*x+a),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)} x^{m}}{b x + a}\,{d x}"," ",0,"integrate((d*x + c)*x^m/(b*x + a), x)","F",0
382,0,0,0,0.000000," ","integrate(x^m/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{x^{m}}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(x^m/((b*x + a)*(d*x + c)), x)","F",0
383,0,0,0,0.000000," ","integrate(x^m/(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{x^{m}}{{\left(b x + a\right)} {\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(x^m/((b*x + a)*(d*x + c)^2), x)","F",0
384,0,0,0,0.000000," ","integrate(x^m/(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","\int \frac{x^{m}}{{\left(b x + a\right)} {\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(x^m/((b*x + a)*(d*x + c)^3), x)","F",0
385,0,0,0,0.000000," ","integrate(b^2*x^m/(a*x^2+b)^2,x, algorithm=""giac"")","\int \frac{b^{2} x^{m}}{{\left(a x^{2} + b\right)}^{2}}\,{d x}"," ",0,"integrate(b^2*x^m/(a*x^2 + b)^2, x)","F",0
386,-2,0,0,0.000000," ","integrate(x^m/(1-x*a^(1/2)/(-b)^(1/2))^2/(1+x*a^(1/2)/(-b)^(1/2))^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,[1]%%%},[2]%%%}+%%%{%%{[%%%{%%{[-2,0]:[1,0,%%%{1,[1]%%%}]%%},[0]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1]%%%}+%%%{%%%{%%%{-1,[1]%%%},[0]%%%},[0]%%%} / %%%{%%%{1,[2]%%%},[2]%%%}+%%%{%%{[%%%{%%{[-2,0]:[1,0,%%%{1,[1]%%%}]%%},[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1]%%%}+%%%{%%%{%%%{-1,[1]%%%},[1]%%%},[0]%%%} Error: Bad Argument Value"","F(-2)",0
387,1,304,0,1.181807," ","integrate(x^4*(B*x+A)*(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(\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 a}{b^{4}} + \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)} B a}{b^{5}} + \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^{4}} + \frac{15 \, {\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}{b^{5}}\right)}}{45045 \, b}"," ",0,"2/45045*(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*a/b^4 + 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)*B*a/b^5 + 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^4 + 15*(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^5)/b","B",0
388,1,256,0,1.247486," ","integrate(x^3*(B*x+A)*(b*x+a)^(1/2),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 a}{b^{3}} + \frac{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)} B a}{b^{4}} + \frac{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}{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}{b^{4}}\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*a/b^3 + 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)*B*a/b^4 + 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^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/b^4)/b","B",0
389,1,207,0,1.252090," ","integrate(x^2*(B*x+A)*(b*x+a)^(1/2),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 a}{b^{2}} + \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)} B a}{b^{3}} + \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^{2}} + \frac{{\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)} B}{b^{3}}\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*a/b^2 + 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)*B*a/b^3 + 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^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/b^3)/b","B",0
390,1,158,0,1.242059," ","integrate(x*(B*x+A)*(b*x+a)^(1/2),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 a}{b} + \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)} B a}{b^{2}} + \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} + \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}{b^{2}}\right)}}{105 \, b}"," ",0,"2/105*(35*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*A*a/b + 7*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*B*a/b^2 + 7*(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^2)/b","B",0
391,1,100,0,1.227401," ","integrate((B*x+A)*(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(15 \, \sqrt{b x + a} A a + 5 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} A + \frac{5 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} B a}{b} + \frac{{\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)} B}{b}\right)}}{15 \, b}"," ",0,"2/15*(15*sqrt(b*x + a)*A*a + 5*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*A + 5*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*B*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","B",0
392,1,55,0,1.335897," ","integrate((B*x+A)*(b*x+a)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, A a \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \frac{2 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} B b^{2} + 3 \, \sqrt{b x + a} A b^{3}\right)}}{3 \, b^{3}}"," ",0,"2*A*a*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2/3*((b*x + a)^(3/2)*B*b^2 + 3*sqrt(b*x + a)*A*b^3)/b^3","A",0
393,1,61,0,1.179682," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^2,x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} B b - \frac{\sqrt{b x + a} A b}{x} + \frac{{\left(2 \, B a b + A b^{2}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}}}{b}"," ",0,"(2*sqrt(b*x + a)*B*b - sqrt(b*x + a)*A*b/x + (2*B*a*b + A*b^2)*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a))/b","A",0
394,1,110,0,1.253343," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^3,x, algorithm=""giac"")","\frac{\frac{{\left(4 \, B a b^{2} - A b^{3}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} - \frac{4 \, {\left(b x + a\right)}^{\frac{3}{2}} B a b^{2} - 4 \, \sqrt{b x + a} B a^{2} b^{2} + {\left(b x + a\right)}^{\frac{3}{2}} A b^{3} + \sqrt{b x + a} A a b^{3}}{a b^{2} x^{2}}}{4 \, b}"," ",0,"1/4*((4*B*a*b^2 - A*b^3)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) - (4*(b*x + a)^(3/2)*B*a*b^2 - 4*sqrt(b*x + a)*B*a^2*b^2 + (b*x + a)^(3/2)*A*b^3 + sqrt(b*x + a)*A*a*b^3)/(a*b^2*x^2))/b","A",0
395,1,128,0,1.220259," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^4,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(2 \, B a b^{3} - A b^{4}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{6 \, {\left(b x + a\right)}^{\frac{5}{2}} B a b^{3} - 6 \, \sqrt{b x + a} B a^{3} b^{3} - 3 \, {\left(b x + a\right)}^{\frac{5}{2}} A b^{4} + 8 \, {\left(b x + a\right)}^{\frac{3}{2}} A a b^{4} + 3 \, \sqrt{b x + a} A a^{2} b^{4}}{a^{2} b^{3} x^{3}}}{24 \, b}"," ",0,"-1/24*(3*(2*B*a*b^3 - A*b^4)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + (6*(b*x + a)^(5/2)*B*a*b^3 - 6*sqrt(b*x + a)*B*a^3*b^3 - 3*(b*x + a)^(5/2)*A*b^4 + 8*(b*x + a)^(3/2)*A*a*b^4 + 3*sqrt(b*x + a)*A*a^2*b^4)/(a^2*b^3*x^3))/b","A",0
396,1,176,0,1.232160," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^5,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(8 \, B a b^{4} - 5 \, A b^{5}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{3}} + \frac{24 \, {\left(b x + a\right)}^{\frac{7}{2}} B a b^{4} - 88 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{2} b^{4} + 40 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{3} b^{4} + 24 \, \sqrt{b x + a} B a^{4} b^{4} - 15 \, {\left(b x + a\right)}^{\frac{7}{2}} A b^{5} + 55 \, {\left(b x + a\right)}^{\frac{5}{2}} A a b^{5} - 73 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{2} b^{5} - 15 \, \sqrt{b x + a} A a^{3} b^{5}}{a^{3} b^{4} x^{4}}}{192 \, b}"," ",0,"1/192*(3*(8*B*a*b^4 - 5*A*b^5)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^3) + (24*(b*x + a)^(7/2)*B*a*b^4 - 88*(b*x + a)^(5/2)*B*a^2*b^4 + 40*(b*x + a)^(3/2)*B*a^3*b^4 + 24*sqrt(b*x + a)*B*a^4*b^4 - 15*(b*x + a)^(7/2)*A*b^5 + 55*(b*x + a)^(5/2)*A*a*b^5 - 73*(b*x + a)^(3/2)*A*a^2*b^5 - 15*sqrt(b*x + a)*A*a^3*b^5)/(a^3*b^4*x^4))/b","A",0
397,1,208,0,1.356802," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^6,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(10 \, B a b^{5} - 7 \, A b^{6}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{4}} + \frac{150 \, {\left(b x + a\right)}^{\frac{9}{2}} B a b^{5} - 700 \, {\left(b x + a\right)}^{\frac{7}{2}} B a^{2} b^{5} + 1280 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{3} b^{5} - 580 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{4} b^{5} - 150 \, \sqrt{b x + a} B a^{5} b^{5} - 105 \, {\left(b x + a\right)}^{\frac{9}{2}} A b^{6} + 490 \, {\left(b x + a\right)}^{\frac{7}{2}} A a b^{6} - 896 \, {\left(b x + a\right)}^{\frac{5}{2}} A a^{2} b^{6} + 790 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{3} b^{6} + 105 \, \sqrt{b x + a} A a^{4} b^{6}}{a^{4} b^{5} x^{5}}}{1920 \, b}"," ",0,"-1/1920*(15*(10*B*a*b^5 - 7*A*b^6)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^4) + (150*(b*x + a)^(9/2)*B*a*b^5 - 700*(b*x + a)^(7/2)*B*a^2*b^5 + 1280*(b*x + a)^(5/2)*B*a^3*b^5 - 580*(b*x + a)^(3/2)*B*a^4*b^5 - 150*sqrt(b*x + a)*B*a^5*b^5 - 105*(b*x + a)^(9/2)*A*b^6 + 490*(b*x + a)^(7/2)*A*a*b^6 - 896*(b*x + a)^(5/2)*A*a^2*b^6 + 790*(b*x + a)^(3/2)*A*a^3*b^6 + 105*sqrt(b*x + a)*A*a^4*b^6)/(a^4*b^5*x^5))/b","A",0
398,1,494,0,1.296168," ","integrate(x^4*(b*x+a)^(3/2)*(B*x+A),x, algorithm=""giac"")","\frac{2 \, {\left(\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 a^{2}}{b^{4}} + \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)} B a^{2}}{b^{5}} + \frac{130 \, {\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 a}{b^{4}} + \frac{30 \, {\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 a}{b^{5}} + \frac{15 \, {\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^{4}} + \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}{b^{5}}\right)}}{45045 \, b}"," ",0,"2/45045*(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*a^2/b^4 + 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)*B*a^2/b^5 + 130*(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*a/b^4 + 30*(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*a/b^5 + 15*(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^4 + 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/b^5)/b","B",0
399,1,422,0,1.211180," ","integrate(x^3*(b*x+a)^(3/2)*(B*x+A),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{1287 \, {\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 a^{2}}{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)} B a^{2}}{b^{4}} + \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 a}{b^{3}} + \frac{130 \, {\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 a}{b^{4}} + \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{15 \, {\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}{b^{4}}\right)}}{45045 \, b}"," ",0,"2/45045*(1287*(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*a^2/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)*B*a^2/b^4 + 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*a/b^3 + 130*(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*a/b^4 + 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 + 15*(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^4)/b","B",0
400,1,350,0,1.254887," ","integrate(x^2*(b*x+a)^(3/2)*(B*x+A),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 a^{2}}{b^{2}} + \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)} B a^{2}}{b^{3}} + \frac{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 a}{b^{2}} + \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)} B a}{b^{3}} + \frac{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}{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}{b^{3}}\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*a^2/b^2 + 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)*B*a^2/b^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*a/b^2 + 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)*B*a/b^3 + 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^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/b^3)/b","B",0
401,1,275,0,1.208575," ","integrate(x*(b*x+a)^(3/2)*(B*x+A),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 a^{2}}{b} + \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)} B a^{2}}{b^{2}} + \frac{42 \, {\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 a}{b} + \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)} B a}{b^{2}} + \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} + \frac{{\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)} B}{b^{2}}\right)}}{315 \, b}"," ",0,"2/315*(105*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*A*a^2/b + 21*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*B*a^2/b^2 + 42*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*A*a/b + 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)*B*a/b^2 + 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 + (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^2)/b","B",0
402,1,192,0,1.298009," ","integrate((b*x+a)^(3/2)*(B*x+A),x, algorithm=""giac"")","\frac{2 \, {\left(105 \, \sqrt{b x + a} A a^{2} + 70 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} A a + \frac{35 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} B a^{2}}{b} + 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 + \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)} B 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}{b}\right)}}{105 \, b}"," ",0,"2/105*(105*sqrt(b*x + a)*A*a^2 + 70*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*A*a + 35*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*B*a^2/b + 7*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*A + 14*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*B*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","B",0
403,1,72,0,1.201210," ","integrate((b*x+a)^(3/2)*(B*x+A)/x,x, algorithm=""giac"")","\frac{2 \, A a^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \frac{2 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} B b^{4} + 5 \, {\left(b x + a\right)}^{\frac{3}{2}} A b^{5} + 15 \, \sqrt{b x + a} A a b^{5}\right)}}{15 \, b^{5}}"," ",0,"2*A*a^2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2/15*(3*(b*x + a)^(5/2)*B*b^4 + 5*(b*x + a)^(3/2)*A*b^5 + 15*sqrt(b*x + a)*A*a*b^5)/b^5","A",0
404,1,93,0,1.288926," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^2,x, algorithm=""giac"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} B b + 6 \, \sqrt{b x + a} B a b + 6 \, \sqrt{b x + a} A b^{2} - \frac{3 \, \sqrt{b x + a} A a b}{x} + \frac{3 \, {\left(2 \, B a^{2} b + 3 \, A a b^{2}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}}}{3 \, b}"," ",0,"1/3*(2*(b*x + a)^(3/2)*B*b + 6*sqrt(b*x + a)*B*a*b + 6*sqrt(b*x + a)*A*b^2 - 3*sqrt(b*x + a)*A*a*b/x + 3*(2*B*a^2*b + 3*A*a*b^2)*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a))/b","A",0
405,1,119,0,1.403289," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^3,x, algorithm=""giac"")","\frac{8 \, \sqrt{b x + a} B b^{2} + \frac{3 \, {\left(4 \, B a b^{2} + A b^{3}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{4 \, {\left(b x + a\right)}^{\frac{3}{2}} B a b^{2} - 4 \, \sqrt{b x + a} B a^{2} b^{2} + 5 \, {\left(b x + a\right)}^{\frac{3}{2}} A b^{3} - 3 \, \sqrt{b x + a} A a b^{3}}{b^{2} x^{2}}}{4 \, b}"," ",0,"1/4*(8*sqrt(b*x + a)*B*b^2 + 3*(4*B*a*b^2 + A*b^3)*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) - (4*(b*x + a)^(3/2)*B*a*b^2 - 4*sqrt(b*x + a)*B*a^2*b^2 + 5*(b*x + a)^(3/2)*A*b^3 - 3*sqrt(b*x + a)*A*a*b^3)/(b^2*x^2))/b","A",0
406,1,145,0,1.261792," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^4,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(6 \, B a b^{3} - A b^{4}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} - \frac{30 \, {\left(b x + a\right)}^{\frac{5}{2}} B a b^{3} - 48 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{2} b^{3} + 18 \, \sqrt{b x + a} B a^{3} b^{3} + 3 \, {\left(b x + a\right)}^{\frac{5}{2}} A b^{4} + 8 \, {\left(b x + a\right)}^{\frac{3}{2}} A a b^{4} - 3 \, \sqrt{b x + a} A a^{2} b^{4}}{a b^{3} x^{3}}}{24 \, b}"," ",0,"1/24*(3*(6*B*a*b^3 - A*b^4)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) - (30*(b*x + a)^(5/2)*B*a*b^3 - 48*(b*x + a)^(3/2)*B*a^2*b^3 + 18*sqrt(b*x + a)*B*a^3*b^3 + 3*(b*x + a)^(5/2)*A*b^4 + 8*(b*x + a)^(3/2)*A*a*b^4 - 3*sqrt(b*x + a)*A*a^2*b^4)/(a*b^3*x^3))/b","A",0
407,1,176,0,1.303144," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^5,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(8 \, B a b^{4} - 3 \, A b^{5}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{24 \, {\left(b x + a\right)}^{\frac{7}{2}} B a b^{4} + 40 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{2} b^{4} - 88 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{3} b^{4} + 24 \, \sqrt{b x + a} B a^{4} b^{4} - 9 \, {\left(b x + a\right)}^{\frac{7}{2}} A b^{5} + 33 \, {\left(b x + a\right)}^{\frac{5}{2}} A a b^{5} + 33 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{2} b^{5} - 9 \, \sqrt{b x + a} A a^{3} b^{5}}{a^{2} b^{4} x^{4}}}{192 \, b}"," ",0,"-1/192*(3*(8*B*a*b^4 - 3*A*b^5)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + (24*(b*x + a)^(7/2)*B*a*b^4 + 40*(b*x + a)^(5/2)*B*a^2*b^4 - 88*(b*x + a)^(3/2)*B*a^3*b^4 + 24*sqrt(b*x + a)*B*a^4*b^4 - 9*(b*x + a)^(7/2)*A*b^5 + 33*(b*x + a)^(5/2)*A*a*b^5 + 33*(b*x + a)^(3/2)*A*a^2*b^5 - 9*sqrt(b*x + a)*A*a^3*b^5)/(a^2*b^4*x^4))/b","A",0
408,1,192,0,1.342148," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^6,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(2 \, B a b^{5} - A b^{6}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{3}} + \frac{30 \, {\left(b x + a\right)}^{\frac{9}{2}} B a b^{5} - 140 \, {\left(b x + a\right)}^{\frac{7}{2}} B a^{2} b^{5} + 140 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{4} b^{5} - 30 \, \sqrt{b x + a} B a^{5} b^{5} - 15 \, {\left(b x + a\right)}^{\frac{9}{2}} A b^{6} + 70 \, {\left(b x + a\right)}^{\frac{7}{2}} A a b^{6} - 128 \, {\left(b x + a\right)}^{\frac{5}{2}} A a^{2} b^{6} - 70 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{3} b^{6} + 15 \, \sqrt{b x + a} A a^{4} b^{6}}{a^{3} b^{5} x^{5}}}{640 \, b}"," ",0,"1/640*(15*(2*B*a*b^5 - A*b^6)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^3) + (30*(b*x + a)^(9/2)*B*a*b^5 - 140*(b*x + a)^(7/2)*B*a^2*b^5 + 140*(b*x + a)^(3/2)*B*a^4*b^5 - 30*sqrt(b*x + a)*B*a^5*b^5 - 15*(b*x + a)^(9/2)*A*b^6 + 70*(b*x + a)^(7/2)*A*a*b^6 - 128*(b*x + a)^(5/2)*A*a^2*b^6 - 70*(b*x + a)^(3/2)*A*a^3*b^6 + 15*sqrt(b*x + a)*A*a^4*b^6)/(a^3*b^5*x^5))/b","A",0
409,1,240,0,1.293388," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^7,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(12 \, B a b^{6} - 7 \, A b^{7}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{4}} + \frac{180 \, {\left(b x + a\right)}^{\frac{11}{2}} B a b^{6} - 1020 \, {\left(b x + a\right)}^{\frac{9}{2}} B a^{2} b^{6} + 2376 \, {\left(b x + a\right)}^{\frac{7}{2}} B a^{3} b^{6} - 696 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{4} b^{6} - 1020 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{5} b^{6} + 180 \, \sqrt{b x + a} B a^{6} b^{6} - 105 \, {\left(b x + a\right)}^{\frac{11}{2}} A b^{7} + 595 \, {\left(b x + a\right)}^{\frac{9}{2}} A a b^{7} - 1386 \, {\left(b x + a\right)}^{\frac{7}{2}} A a^{2} b^{7} + 1686 \, {\left(b x + a\right)}^{\frac{5}{2}} A a^{3} b^{7} + 595 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{4} b^{7} - 105 \, \sqrt{b x + a} A a^{5} b^{7}}{a^{4} b^{6} x^{6}}}{7680 \, b}"," ",0,"-1/7680*(15*(12*B*a*b^6 - 7*A*b^7)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^4) + (180*(b*x + a)^(11/2)*B*a*b^6 - 1020*(b*x + a)^(9/2)*B*a^2*b^6 + 2376*(b*x + a)^(7/2)*B*a^3*b^6 - 696*(b*x + a)^(5/2)*B*a^4*b^6 - 1020*(b*x + a)^(3/2)*B*a^5*b^6 + 180*sqrt(b*x + a)*B*a^6*b^6 - 105*(b*x + a)^(11/2)*A*b^7 + 595*(b*x + a)^(9/2)*A*a*b^7 - 1386*(b*x + a)^(7/2)*A*a^2*b^7 + 1686*(b*x + a)^(5/2)*A*a^3*b^7 + 595*(b*x + a)^(3/2)*A*a^4*b^7 - 105*sqrt(b*x + a)*A*a^5*b^7)/(a^4*b^6*x^6))/b","A",0
410,1,708,0,1.382379," ","integrate(x^4*(b*x+a)^(5/2)*(B*x+A),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{2431 \, {\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 a^{3}}{b^{4}} + \frac{1105 \, {\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 a^{3}}{b^{5}} + \frac{3315 \, {\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 a^{2}}{b^{4}} + \frac{765 \, {\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 a^{2}}{b^{5}} + \frac{765 \, {\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 a}{b^{4}} + \frac{357 \, {\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 a}{b^{5}} + \frac{119 \, {\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^{4}} + \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}{b^{5}}\right)}}{765765 \, b}"," ",0,"2/765765*(2431*(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*a^3/b^4 + 1105*(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*a^3/b^5 + 3315*(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*a^2/b^4 + 765*(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*a^2/b^5 + 765*(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*a/b^4 + 357*(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*a/b^5 + 119*(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^4 + 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/b^5)/b","B",0
411,1,612,0,1.297448," ","integrate(x^3*(b*x+a)^(5/2)*(B*x+A),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{1287 \, {\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 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)} B a^{3}}{b^{4}} + \frac{429 \, {\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 a^{2}}{b^{3}} + \frac{195 \, {\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 a^{2}}{b^{4}} + \frac{195 \, {\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 a}{b^{3}} + \frac{45 \, {\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 a}{b^{4}} + \frac{15 \, {\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^{3}} + \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}{b^{4}}\right)}}{45045 \, b}"," ",0,"2/45045*(1287*(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*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)*B*a^3/b^4 + 429*(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*a^2/b^3 + 195*(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*a^2/b^4 + 195*(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*a/b^3 + 45*(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*a/b^4 + 15*(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^3 + 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/b^4)/b","B",0
412,1,516,0,1.335045," ","integrate(x^2*(b*x+a)^(5/2)*(B*x+A),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 a^{3}}{b^{2}} + \frac{1287 \, {\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 a^{3}}{b^{3}} + \frac{3861 \, {\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 a^{2}}{b^{2}} + \frac{429 \, {\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)} B a^{2}}{b^{3}} + \frac{429 \, {\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 a}{b^{2}} + \frac{195 \, {\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 a}{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^{2}} + \frac{15 \, {\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}{b^{3}}\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*a^3/b^2 + 1287*(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*a^3/b^3 + 3861*(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*a^2/b^2 + 429*(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*a^2/b^3 + 429*(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*a/b^2 + 195*(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*a/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^2 + 15*(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^3)/b","B",0
413,1,418,0,1.274819," ","integrate(x*(b*x+a)^(5/2)*(B*x+A),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{1155 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} A a^{3}}{b} + \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)} B a^{3}}{b^{2}} + \frac{693 \, {\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 a^{2}}{b} + \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)} B a^{2}}{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 a}{b} + \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)} B a}{b^{2}} + \frac{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}{b} + \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}{b^{2}}\right)}}{3465 \, b}"," ",0,"2/3465*(1155*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*A*a^3/b + 231*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*B*a^3/b^2 + 693*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*A*a^2/b + 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)*B*a^2/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*a/b + 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)*B*a/b^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 + 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/b^2)/b","B",0
414,1,306,0,1.278052," ","integrate((b*x+a)^(5/2)*(B*x+A),x, algorithm=""giac"")","\frac{2 \, {\left(315 \, \sqrt{b x + a} A a^{3} + 315 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} A a^{2} + \frac{105 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} B a^{3}}{b} + 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 a + \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)} B a^{2}}{b} + 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 + \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)} B a}{b} + \frac{{\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)} B}{b}\right)}}{315 \, b}"," ",0,"2/315*(315*sqrt(b*x + a)*A*a^3 + 315*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*A*a^2 + 105*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*B*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*a + 63*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*B*a^2/b + 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 + 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)*B*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","B",0
415,1,88,0,1.326144," ","integrate((b*x+a)^(5/2)*(B*x+A)/x,x, algorithm=""giac"")","\frac{2 \, A a^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \frac{2 \, {\left(15 \, {\left(b x + a\right)}^{\frac{7}{2}} B b^{6} + 21 \, {\left(b x + a\right)}^{\frac{5}{2}} A b^{7} + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} A a b^{7} + 105 \, \sqrt{b x + a} A a^{2} b^{7}\right)}}{105 \, b^{7}}"," ",0,"2*A*a^3*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2/105*(15*(b*x + a)^(7/2)*B*b^6 + 21*(b*x + a)^(5/2)*A*b^7 + 35*(b*x + a)^(3/2)*A*a*b^7 + 105*sqrt(b*x + a)*A*a^2*b^7)/b^7","A",0
416,1,125,0,1.289904," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^2,x, algorithm=""giac"")","\frac{6 \, {\left(b x + a\right)}^{\frac{5}{2}} B b + 10 \, {\left(b x + a\right)}^{\frac{3}{2}} B a b + 30 \, \sqrt{b x + a} B a^{2} b + 10 \, {\left(b x + a\right)}^{\frac{3}{2}} A b^{2} + 60 \, \sqrt{b x + a} A a b^{2} - \frac{15 \, \sqrt{b x + a} A a^{2} b}{x} + \frac{15 \, {\left(2 \, B a^{3} b + 5 \, A a^{2} b^{2}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}}}{15 \, b}"," ",0,"1/15*(6*(b*x + a)^(5/2)*B*b + 10*(b*x + a)^(3/2)*B*a*b + 30*sqrt(b*x + a)*B*a^2*b + 10*(b*x + a)^(3/2)*A*b^2 + 60*sqrt(b*x + a)*A*a*b^2 - 15*sqrt(b*x + a)*A*a^2*b/x + 15*(2*B*a^3*b + 5*A*a^2*b^2)*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a))/b","A",0
417,1,155,0,1.334880," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^3,x, algorithm=""giac"")","\frac{8 \, {\left(b x + a\right)}^{\frac{3}{2}} B b^{2} + 48 \, \sqrt{b x + a} B a b^{2} + 24 \, \sqrt{b x + a} A b^{3} + \frac{15 \, {\left(4 \, B a^{2} b^{2} + 3 \, A a b^{3}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{3 \, {\left(4 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{2} b^{2} - 4 \, \sqrt{b x + a} B a^{3} b^{2} + 9 \, {\left(b x + a\right)}^{\frac{3}{2}} A a b^{3} - 7 \, \sqrt{b x + a} A a^{2} b^{3}\right)}}{b^{2} x^{2}}}{12 \, b}"," ",0,"1/12*(8*(b*x + a)^(3/2)*B*b^2 + 48*sqrt(b*x + a)*B*a*b^2 + 24*sqrt(b*x + a)*A*b^3 + 15*(4*B*a^2*b^2 + 3*A*a*b^3)*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) - 3*(4*(b*x + a)^(3/2)*B*a^2*b^2 - 4*sqrt(b*x + a)*B*a^3*b^2 + 9*(b*x + a)^(3/2)*A*a*b^3 - 7*sqrt(b*x + a)*A*a^2*b^3)/(b^2*x^2))/b","A",0
418,1,151,0,1.545975," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^4,x, algorithm=""giac"")","\frac{48 \, \sqrt{b x + a} B b^{3} + \frac{15 \, {\left(6 \, B a b^{3} + A b^{4}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{54 \, {\left(b x + a\right)}^{\frac{5}{2}} B a b^{3} - 96 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{2} b^{3} + 42 \, \sqrt{b x + a} B a^{3} b^{3} + 33 \, {\left(b x + a\right)}^{\frac{5}{2}} A b^{4} - 40 \, {\left(b x + a\right)}^{\frac{3}{2}} A a b^{4} + 15 \, \sqrt{b x + a} A a^{2} b^{4}}{b^{3} x^{3}}}{24 \, b}"," ",0,"1/24*(48*sqrt(b*x + a)*B*b^3 + 15*(6*B*a*b^3 + A*b^4)*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) - (54*(b*x + a)^(5/2)*B*a*b^3 - 96*(b*x + a)^(3/2)*B*a^2*b^3 + 42*sqrt(b*x + a)*B*a^3*b^3 + 33*(b*x + a)^(5/2)*A*b^4 - 40*(b*x + a)^(3/2)*A*a*b^4 + 15*sqrt(b*x + a)*A*a^2*b^4)/(b^3*x^3))/b","A",0
419,1,177,0,1.617584," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^5,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(8 \, B a b^{4} - A b^{5}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} - \frac{264 \, {\left(b x + a\right)}^{\frac{7}{2}} B a b^{4} - 584 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{2} b^{4} + 440 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{3} b^{4} - 120 \, \sqrt{b x + a} B a^{4} b^{4} + 15 \, {\left(b x + a\right)}^{\frac{7}{2}} A b^{5} + 73 \, {\left(b x + a\right)}^{\frac{5}{2}} A a b^{5} - 55 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{2} b^{5} + 15 \, \sqrt{b x + a} A a^{3} b^{5}}{a b^{4} x^{4}}}{192 \, b}"," ",0,"1/192*(15*(8*B*a*b^4 - A*b^5)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) - (264*(b*x + a)^(7/2)*B*a*b^4 - 584*(b*x + a)^(5/2)*B*a^2*b^4 + 440*(b*x + a)^(3/2)*B*a^3*b^4 - 120*sqrt(b*x + a)*B*a^4*b^4 + 15*(b*x + a)^(7/2)*A*b^5 + 73*(b*x + a)^(5/2)*A*a*b^5 - 55*(b*x + a)^(3/2)*A*a^2*b^5 + 15*sqrt(b*x + a)*A*a^3*b^5)/(a*b^4*x^4))/b","A",0
420,1,208,0,1.775558," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^6,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(10 \, B a b^{5} - 3 \, A b^{6}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{150 \, {\left(b x + a\right)}^{\frac{9}{2}} B a b^{5} + 580 \, {\left(b x + a\right)}^{\frac{7}{2}} B a^{2} b^{5} - 1280 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{3} b^{5} + 700 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{4} b^{5} - 150 \, \sqrt{b x + a} B a^{5} b^{5} - 45 \, {\left(b x + a\right)}^{\frac{9}{2}} A b^{6} + 210 \, {\left(b x + a\right)}^{\frac{7}{2}} A a b^{6} + 384 \, {\left(b x + a\right)}^{\frac{5}{2}} A a^{2} b^{6} - 210 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{3} b^{6} + 45 \, \sqrt{b x + a} A a^{4} b^{6}}{a^{2} b^{5} x^{5}}}{1920 \, b}"," ",0,"-1/1920*(15*(10*B*a*b^5 - 3*A*b^6)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + (150*(b*x + a)^(9/2)*B*a*b^5 + 580*(b*x + a)^(7/2)*B*a^2*b^5 - 1280*(b*x + a)^(5/2)*B*a^3*b^5 + 700*(b*x + a)^(3/2)*B*a^4*b^5 - 150*sqrt(b*x + a)*B*a^5*b^5 - 45*(b*x + a)^(9/2)*A*b^6 + 210*(b*x + a)^(7/2)*A*a*b^6 + 384*(b*x + a)^(5/2)*A*a^2*b^6 - 210*(b*x + a)^(3/2)*A*a^3*b^6 + 45*sqrt(b*x + a)*A*a^4*b^6)/(a^2*b^5*x^5))/b","A",0
421,1,240,0,1.718004," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^7,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(12 \, B a b^{6} - 5 \, A b^{7}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{3}} + \frac{180 \, {\left(b x + a\right)}^{\frac{11}{2}} B a b^{6} - 1020 \, {\left(b x + a\right)}^{\frac{9}{2}} B a^{2} b^{6} - 696 \, {\left(b x + a\right)}^{\frac{7}{2}} B a^{3} b^{6} + 2376 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{4} b^{6} - 1020 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{5} b^{6} + 180 \, \sqrt{b x + a} B a^{6} b^{6} - 75 \, {\left(b x + a\right)}^{\frac{11}{2}} A b^{7} + 425 \, {\left(b x + a\right)}^{\frac{9}{2}} A a b^{7} - 990 \, {\left(b x + a\right)}^{\frac{7}{2}} A a^{2} b^{7} - 990 \, {\left(b x + a\right)}^{\frac{5}{2}} A a^{3} b^{7} + 425 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{4} b^{7} - 75 \, \sqrt{b x + a} A a^{5} b^{7}}{a^{3} b^{6} x^{6}}}{7680 \, b}"," ",0,"1/7680*(15*(12*B*a*b^6 - 5*A*b^7)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^3) + (180*(b*x + a)^(11/2)*B*a*b^6 - 1020*(b*x + a)^(9/2)*B*a^2*b^6 - 696*(b*x + a)^(7/2)*B*a^3*b^6 + 2376*(b*x + a)^(5/2)*B*a^4*b^6 - 1020*(b*x + a)^(3/2)*B*a^5*b^6 + 180*sqrt(b*x + a)*B*a^6*b^6 - 75*(b*x + a)^(11/2)*A*b^7 + 425*(b*x + a)^(9/2)*A*a*b^7 - 990*(b*x + a)^(7/2)*A*a^2*b^7 - 990*(b*x + a)^(5/2)*A*a^3*b^7 + 425*(b*x + a)^(3/2)*A*a^4*b^7 - 75*sqrt(b*x + a)*A*a^5*b^7)/(a^3*b^6*x^6))/b","A",0
422,1,256,0,1.474201," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^8,x, algorithm=""giac"")","-\frac{\frac{105 \, {\left(2 \, B a b^{7} - A b^{8}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{4}} + \frac{210 \, {\left(b x + a\right)}^{\frac{13}{2}} B a b^{7} - 1400 \, {\left(b x + a\right)}^{\frac{11}{2}} B a^{2} b^{7} + 3962 \, {\left(b x + a\right)}^{\frac{9}{2}} B a^{3} b^{7} - 3962 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{5} b^{7} + 1400 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{6} b^{7} - 210 \, \sqrt{b x + a} B a^{7} b^{7} - 105 \, {\left(b x + a\right)}^{\frac{13}{2}} A b^{8} + 700 \, {\left(b x + a\right)}^{\frac{11}{2}} A a b^{8} - 1981 \, {\left(b x + a\right)}^{\frac{9}{2}} A a^{2} b^{8} + 3072 \, {\left(b x + a\right)}^{\frac{7}{2}} A a^{3} b^{8} + 1981 \, {\left(b x + a\right)}^{\frac{5}{2}} A a^{4} b^{8} - 700 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{5} b^{8} + 105 \, \sqrt{b x + a} A a^{6} b^{8}}{a^{4} b^{7} x^{7}}}{21504 \, b}"," ",0,"-1/21504*(105*(2*B*a*b^7 - A*b^8)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^4) + (210*(b*x + a)^(13/2)*B*a*b^7 - 1400*(b*x + a)^(11/2)*B*a^2*b^7 + 3962*(b*x + a)^(9/2)*B*a^3*b^7 - 3962*(b*x + a)^(5/2)*B*a^5*b^7 + 1400*(b*x + a)^(3/2)*B*a^6*b^7 - 210*sqrt(b*x + a)*B*a^7*b^7 - 105*(b*x + a)^(13/2)*A*b^8 + 700*(b*x + a)^(11/2)*A*a*b^8 - 1981*(b*x + a)^(9/2)*A*a^2*b^8 + 3072*(b*x + a)^(7/2)*A*a^3*b^8 + 1981*(b*x + a)^(5/2)*A*a^4*b^8 - 700*(b*x + a)^(3/2)*A*a^5*b^8 + 105*sqrt(b*x + a)*A*a^6*b^8)/(a^4*b^7*x^7))/b","A",0
423,1,142,0,1.240178," ","integrate(x^4*(B*x+A)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{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}{b^{4}} + \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}{b^{5}}\right)}}{3465 \, b}"," ",0,"2/3465*(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^4 + 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/b^5)/b","A",0
424,1,117,0,1.340222," ","integrate(x^3*(B*x+A)/(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{{\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)} B}{b^{4}}\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/b^4)/b","A",0
425,1,94,0,1.249347," ","integrate(x^2*(B*x+A)/(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}{b^{3}}\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/b^3)/b","A",0
426,1,67,0,1.266783," ","integrate(x*(B*x+A)/(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{{\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)} B}{b^{2}}\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^2)/b","A",0
427,1,39,0,1.230809," ","integrate((B*x+A)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, \sqrt{b x + a} A + \frac{{\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} B}{b}\right)}}{3 \, b}"," ",0,"2/3*(3*sqrt(b*x + a)*A + ((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*B/b)/b","A",0
428,1,36,0,1.211093," ","integrate((B*x+A)/x/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, A \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \frac{2 \, \sqrt{b x + a} B}{b}"," ",0,"2*A*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2*sqrt(b*x + a)*B/b","A",0
429,1,58,0,1.276401," ","integrate((B*x+A)/x^2/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{\sqrt{b x + a} A b}{a x} - \frac{{\left(2 \, B a b - A b^{2}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a}}{b}"," ",0,"-(sqrt(b*x + a)*A*b/(a*x) - (2*B*a*b - A*b^2)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a))/b","A",0
430,1,111,0,1.306933," ","integrate((B*x+A)/x^3/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{{\left(4 \, B a b^{2} - 3 \, A b^{3}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{4 \, {\left(b x + a\right)}^{\frac{3}{2}} B a b^{2} - 4 \, \sqrt{b x + a} B a^{2} b^{2} - 3 \, {\left(b x + a\right)}^{\frac{3}{2}} A b^{3} + 5 \, \sqrt{b x + a} A a b^{3}}{a^{2} b^{2} x^{2}}}{4 \, b}"," ",0,"-1/4*((4*B*a*b^2 - 3*A*b^3)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + (4*(b*x + a)^(3/2)*B*a*b^2 - 4*sqrt(b*x + a)*B*a^2*b^2 - 3*(b*x + a)^(3/2)*A*b^3 + 5*sqrt(b*x + a)*A*a*b^3)/(a^2*b^2*x^2))/b","A",0
431,1,144,0,1.383708," ","integrate((B*x+A)/x^4/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\frac{3 \, {\left(6 \, B a b^{3} - 5 \, A b^{4}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{3}} + \frac{18 \, {\left(b x + a\right)}^{\frac{5}{2}} B a b^{3} - 48 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{2} b^{3} + 30 \, \sqrt{b x + a} B a^{3} b^{3} - 15 \, {\left(b x + a\right)}^{\frac{5}{2}} A b^{4} + 40 \, {\left(b x + a\right)}^{\frac{3}{2}} A a b^{4} - 33 \, \sqrt{b x + a} A a^{2} b^{4}}{a^{3} b^{3} x^{3}}}{24 \, b}"," ",0,"1/24*(3*(6*B*a*b^3 - 5*A*b^4)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^3) + (18*(b*x + a)^(5/2)*B*a*b^3 - 48*(b*x + a)^(3/2)*B*a^2*b^3 + 30*sqrt(b*x + a)*B*a^3*b^3 - 15*(b*x + a)^(5/2)*A*b^4 + 40*(b*x + a)^(3/2)*A*a*b^4 - 33*sqrt(b*x + a)*A*a^2*b^4)/(a^3*b^3*x^3))/b","A",0
432,1,176,0,1.339029," ","integrate((B*x+A)/x^5/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(8 \, B a b^{4} - 7 \, A b^{5}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{4}} + \frac{120 \, {\left(b x + a\right)}^{\frac{7}{2}} B a b^{4} - 440 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{2} b^{4} + 584 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{3} b^{4} - 264 \, \sqrt{b x + a} B a^{4} b^{4} - 105 \, {\left(b x + a\right)}^{\frac{7}{2}} A b^{5} + 385 \, {\left(b x + a\right)}^{\frac{5}{2}} A a b^{5} - 511 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{2} b^{5} + 279 \, \sqrt{b x + a} A a^{3} b^{5}}{a^{4} b^{4} x^{4}}}{192 \, b}"," ",0,"-1/192*(15*(8*B*a*b^4 - 7*A*b^5)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^4) + (120*(b*x + a)^(7/2)*B*a*b^4 - 440*(b*x + a)^(5/2)*B*a^2*b^4 + 584*(b*x + a)^(3/2)*B*a^3*b^4 - 264*sqrt(b*x + a)*B*a^4*b^4 - 105*(b*x + a)^(7/2)*A*b^5 + 385*(b*x + a)^(5/2)*A*a*b^5 - 511*(b*x + a)^(3/2)*A*a^2*b^5 + 279*sqrt(b*x + a)*A*a^3*b^5)/(a^4*b^4*x^4))/b","A",0
433,1,208,0,1.246326," ","integrate((B*x+A)/x^6/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\frac{105 \, {\left(10 \, B a b^{5} - 9 \, A b^{6}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{5}} + \frac{1050 \, {\left(b x + a\right)}^{\frac{9}{2}} B a b^{5} - 4900 \, {\left(b x + a\right)}^{\frac{7}{2}} B a^{2} b^{5} + 8960 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{3} b^{5} - 7900 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{4} b^{5} + 2790 \, \sqrt{b x + a} B a^{5} b^{5} - 945 \, {\left(b x + a\right)}^{\frac{9}{2}} A b^{6} + 4410 \, {\left(b x + a\right)}^{\frac{7}{2}} A a b^{6} - 8064 \, {\left(b x + a\right)}^{\frac{5}{2}} A a^{2} b^{6} + 7110 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{3} b^{6} - 2895 \, \sqrt{b x + a} A a^{4} b^{6}}{a^{5} b^{5} x^{5}}}{1920 \, b}"," ",0,"1/1920*(105*(10*B*a*b^5 - 9*A*b^6)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^5) + (1050*(b*x + a)^(9/2)*B*a*b^5 - 4900*(b*x + a)^(7/2)*B*a^2*b^5 + 8960*(b*x + a)^(5/2)*B*a^3*b^5 - 7900*(b*x + a)^(3/2)*B*a^4*b^5 + 2790*sqrt(b*x + a)*B*a^5*b^5 - 945*(b*x + a)^(9/2)*A*b^6 + 4410*(b*x + a)^(7/2)*A*a*b^6 - 8064*(b*x + a)^(5/2)*A*a^2*b^6 + 7110*(b*x + a)^(3/2)*A*a^3*b^6 - 2895*sqrt(b*x + a)*A*a^4*b^6)/(a^5*b^5*x^5))/b","A",0
434,1,166,0,1.262777," ","integrate(x^4*(B*x+A)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(B a^{5} - A a^{4} b\right)}}{\sqrt{b x + a} b^{6}} + \frac{2 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} B b^{48} - 225 \, {\left(b x + a\right)}^{\frac{7}{2}} B a b^{48} + 630 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{2} b^{48} - 1050 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{3} b^{48} + 1575 \, \sqrt{b x + a} B a^{4} b^{48} + 45 \, {\left(b x + a\right)}^{\frac{7}{2}} A b^{49} - 252 \, {\left(b x + a\right)}^{\frac{5}{2}} A a b^{49} + 630 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{2} b^{49} - 1260 \, \sqrt{b x + a} A a^{3} b^{49}\right)}}{315 \, b^{54}}"," ",0,"2*(B*a^5 - A*a^4*b)/(sqrt(b*x + a)*b^6) + 2/315*(35*(b*x + a)^(9/2)*B*b^48 - 225*(b*x + a)^(7/2)*B*a*b^48 + 630*(b*x + a)^(5/2)*B*a^2*b^48 - 1050*(b*x + a)^(3/2)*B*a^3*b^48 + 1575*sqrt(b*x + a)*B*a^4*b^48 + 45*(b*x + a)^(7/2)*A*b^49 - 252*(b*x + a)^(5/2)*A*a*b^49 + 630*(b*x + a)^(3/2)*A*a^2*b^49 - 1260*sqrt(b*x + a)*A*a^3*b^49)/b^54","A",0
435,1,134,0,1.248641," ","integrate(x^3*(B*x+A)/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(B a^{4} - A a^{3} b\right)}}{\sqrt{b x + a} b^{5}} + \frac{2 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} B b^{30} - 28 \, {\left(b x + a\right)}^{\frac{5}{2}} B a b^{30} + 70 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{2} b^{30} - 140 \, \sqrt{b x + a} B a^{3} b^{30} + 7 \, {\left(b x + a\right)}^{\frac{5}{2}} A b^{31} - 35 \, {\left(b x + a\right)}^{\frac{3}{2}} A a b^{31} + 105 \, \sqrt{b x + a} A a^{2} b^{31}\right)}}{35 \, b^{35}}"," ",0,"-2*(B*a^4 - A*a^3*b)/(sqrt(b*x + a)*b^5) + 2/35*(5*(b*x + a)^(7/2)*B*b^30 - 28*(b*x + a)^(5/2)*B*a*b^30 + 70*(b*x + a)^(3/2)*B*a^2*b^30 - 140*sqrt(b*x + a)*B*a^3*b^30 + 7*(b*x + a)^(5/2)*A*b^31 - 35*(b*x + a)^(3/2)*A*a*b^31 + 105*sqrt(b*x + a)*A*a^2*b^31)/b^35","A",0
436,1,102,0,1.284076," ","integrate(x^2*(B*x+A)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(B a^{3} - A a^{2} b\right)}}{\sqrt{b x + a} b^{4}} + \frac{2 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} B b^{16} - 15 \, {\left(b x + a\right)}^{\frac{3}{2}} B a b^{16} + 45 \, \sqrt{b x + a} B a^{2} b^{16} + 5 \, {\left(b x + a\right)}^{\frac{3}{2}} A b^{17} - 30 \, \sqrt{b x + a} A a b^{17}\right)}}{15 \, b^{20}}"," ",0,"2*(B*a^3 - A*a^2*b)/(sqrt(b*x + a)*b^4) + 2/15*(3*(b*x + a)^(5/2)*B*b^16 - 15*(b*x + a)^(3/2)*B*a*b^16 + 45*sqrt(b*x + a)*B*a^2*b^16 + 5*(b*x + a)^(3/2)*A*b^17 - 30*sqrt(b*x + a)*A*a*b^17)/b^20","A",0
437,1,69,0,1.300184," ","integrate(x*(B*x+A)/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(B a^{2} - A a b\right)}}{\sqrt{b x + a} b^{3}} + \frac{2 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} B b^{6} - 6 \, \sqrt{b x + a} B a b^{6} + 3 \, \sqrt{b x + a} A b^{7}\right)}}{3 \, b^{9}}"," ",0,"-2*(B*a^2 - A*a*b)/(sqrt(b*x + a)*b^3) + 2/3*((b*x + a)^(3/2)*B*b^6 - 6*sqrt(b*x + a)*B*a*b^6 + 3*sqrt(b*x + a)*A*b^7)/b^9","A",0
438,1,34,0,1.261743," ","integrate((B*x+A)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} B}{b^{2}} + \frac{2 \, {\left(B a - A b\right)}}{\sqrt{b x + a} b^{2}}"," ",0,"2*sqrt(b*x + a)*B/b^2 + 2*(B*a - A*b)/(sqrt(b*x + a)*b^2)","A",0
439,1,49,0,1.259970," ","integrate((B*x+A)/x/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, A \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} - \frac{2 \, {\left(B a - A b\right)}}{\sqrt{b x + a} a b}"," ",0,"2*A*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) - 2*(B*a - A*b)/(sqrt(b*x + a)*a*b)","A",0
440,1,87,0,1.296504," ","integrate((B*x+A)/x^2/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{{\left(2 \, B a - 3 \, A b\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{2 \, {\left(b x + a\right)} B a - 2 \, B a^{2} - 3 \, {\left(b x + a\right)} A b + 2 \, A a b}{{\left({\left(b x + a\right)}^{\frac{3}{2}} - \sqrt{b x + a} a\right)} a^{2}}"," ",0,"(2*B*a - 3*A*b)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + (2*(b*x + a)*B*a - 2*B*a^2 - 3*(b*x + a)*A*b + 2*A*a*b)/(((b*x + a)^(3/2) - sqrt(b*x + a)*a)*a^2)","A",0
441,1,125,0,1.307371," ","integrate((B*x+A)/x^3/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{3 \, {\left(4 \, B a b - 5 \, A b^{2}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{4 \, \sqrt{-a} a^{3}} - \frac{2 \, {\left(B a b - A b^{2}\right)}}{\sqrt{b x + a} a^{3}} - \frac{4 \, {\left(b x + a\right)}^{\frac{3}{2}} B a b - 4 \, \sqrt{b x + a} B a^{2} b - 7 \, {\left(b x + a\right)}^{\frac{3}{2}} A b^{2} + 9 \, \sqrt{b x + a} A a b^{2}}{4 \, a^{3} b^{2} x^{2}}"," ",0,"-3/4*(4*B*a*b - 5*A*b^2)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^3) - 2*(B*a*b - A*b^2)/(sqrt(b*x + a)*a^3) - 1/4*(4*(b*x + a)^(3/2)*B*a*b - 4*sqrt(b*x + a)*B*a^2*b - 7*(b*x + a)^(3/2)*A*b^2 + 9*sqrt(b*x + a)*A*a*b^2)/(a^3*b^2*x^2)","A",0
442,1,165,0,1.253426," ","integrate((B*x+A)/x^4/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{5 \, {\left(6 \, B a b^{2} - 7 \, A b^{3}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{8 \, \sqrt{-a} a^{4}} + \frac{2 \, {\left(B a b^{2} - A b^{3}\right)}}{\sqrt{b x + a} a^{4}} + \frac{42 \, {\left(b x + a\right)}^{\frac{5}{2}} B a b^{2} - 96 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{2} b^{2} + 54 \, \sqrt{b x + a} B a^{3} b^{2} - 57 \, {\left(b x + a\right)}^{\frac{5}{2}} A b^{3} + 136 \, {\left(b x + a\right)}^{\frac{3}{2}} A a b^{3} - 87 \, \sqrt{b x + a} A a^{2} b^{3}}{24 \, a^{4} b^{3} x^{3}}"," ",0,"5/8*(6*B*a*b^2 - 7*A*b^3)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^4) + 2*(B*a*b^2 - A*b^3)/(sqrt(b*x + a)*a^4) + 1/24*(42*(b*x + a)^(5/2)*B*a*b^2 - 96*(b*x + a)^(3/2)*B*a^2*b^2 + 54*sqrt(b*x + a)*B*a^3*b^2 - 57*(b*x + a)^(5/2)*A*b^3 + 136*(b*x + a)^(3/2)*A*a*b^3 - 87*sqrt(b*x + a)*A*a^2*b^3)/(a^4*b^3*x^3)","A",0
443,1,197,0,1.298752," ","integrate((B*x+A)/x^5/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{35 \, {\left(8 \, B a b^{3} - 9 \, A b^{4}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{64 \, \sqrt{-a} a^{5}} - \frac{2 \, {\left(B a b^{3} - A b^{4}\right)}}{\sqrt{b x + a} a^{5}} - \frac{456 \, {\left(b x + a\right)}^{\frac{7}{2}} B a b^{3} - 1544 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{2} b^{3} + 1784 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{3} b^{3} - 696 \, \sqrt{b x + a} B a^{4} b^{3} - 561 \, {\left(b x + a\right)}^{\frac{7}{2}} A b^{4} + 1929 \, {\left(b x + a\right)}^{\frac{5}{2}} A a b^{4} - 2295 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{2} b^{4} + 975 \, \sqrt{b x + a} A a^{3} b^{4}}{192 \, a^{5} b^{4} x^{4}}"," ",0,"-35/64*(8*B*a*b^3 - 9*A*b^4)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^5) - 2*(B*a*b^3 - A*b^4)/(sqrt(b*x + a)*a^5) - 1/192*(456*(b*x + a)^(7/2)*B*a*b^3 - 1544*(b*x + a)^(5/2)*B*a^2*b^3 + 1784*(b*x + a)^(3/2)*B*a^3*b^3 - 696*sqrt(b*x + a)*B*a^4*b^3 - 561*(b*x + a)^(7/2)*A*b^4 + 1929*(b*x + a)^(5/2)*A*a*b^4 - 2295*(b*x + a)^(3/2)*A*a^2*b^4 + 975*sqrt(b*x + a)*A*a^3*b^4)/(a^5*b^4*x^4)","A",0
444,1,157,0,1.339318," ","integrate(x^4*(B*x+A)/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, {\left(b x + a\right)} B a^{4} - B a^{5} - 12 \, {\left(b x + a\right)} A a^{3} b + A a^{4} b\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{6}} + \frac{2 \, {\left(15 \, {\left(b x + a\right)}^{\frac{7}{2}} B b^{36} - 105 \, {\left(b x + a\right)}^{\frac{5}{2}} B a b^{36} + 350 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{2} b^{36} - 1050 \, \sqrt{b x + a} B a^{3} b^{36} + 21 \, {\left(b x + a\right)}^{\frac{5}{2}} A b^{37} - 140 \, {\left(b x + a\right)}^{\frac{3}{2}} A a b^{37} + 630 \, \sqrt{b x + a} A a^{2} b^{37}\right)}}{105 \, b^{42}}"," ",0,"-2/3*(15*(b*x + a)*B*a^4 - B*a^5 - 12*(b*x + a)*A*a^3*b + A*a^4*b)/((b*x + a)^(3/2)*b^6) + 2/105*(15*(b*x + a)^(7/2)*B*b^36 - 105*(b*x + a)^(5/2)*B*a*b^36 + 350*(b*x + a)^(3/2)*B*a^2*b^36 - 1050*sqrt(b*x + a)*B*a^3*b^36 + 21*(b*x + a)^(5/2)*A*b^37 - 140*(b*x + a)^(3/2)*A*a*b^37 + 630*sqrt(b*x + a)*A*a^2*b^37)/b^42","A",0
445,1,125,0,1.324327," ","integrate(x^3*(B*x+A)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(12 \, {\left(b x + a\right)} B a^{3} - B a^{4} - 9 \, {\left(b x + a\right)} A a^{2} b + A a^{3} b\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 b^{20} - 20 \, {\left(b x + a\right)}^{\frac{3}{2}} B a b^{20} + 90 \, \sqrt{b x + a} B a^{2} b^{20} + 5 \, {\left(b x + a\right)}^{\frac{3}{2}} A b^{21} - 45 \, \sqrt{b x + a} A a b^{21}\right)}}{15 \, b^{25}}"," ",0,"2/3*(12*(b*x + a)*B*a^3 - B*a^4 - 9*(b*x + a)*A*a^2*b + A*a^3*b)/((b*x + a)^(3/2)*b^5) + 2/15*(3*(b*x + a)^(5/2)*B*b^20 - 20*(b*x + a)^(3/2)*B*a*b^20 + 90*sqrt(b*x + a)*B*a^2*b^20 + 5*(b*x + a)^(3/2)*A*b^21 - 45*sqrt(b*x + a)*A*a*b^21)/b^25","A",0
446,1,92,0,1.307460," ","integrate(x^2*(B*x+A)/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(9 \, {\left(b x + a\right)} B a^{2} - B a^{3} - 6 \, {\left(b x + a\right)} A a b + A a^{2} b\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{4}} + \frac{2 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} B b^{8} - 9 \, \sqrt{b x + a} B a b^{8} + 3 \, \sqrt{b x + a} A b^{9}\right)}}{3 \, b^{12}}"," ",0,"-2/3*(9*(b*x + a)*B*a^2 - B*a^3 - 6*(b*x + a)*A*a*b + A*a^2*b)/((b*x + a)^(3/2)*b^4) + 2/3*((b*x + a)^(3/2)*B*b^8 - 9*sqrt(b*x + a)*B*a*b^8 + 3*sqrt(b*x + a)*A*b^9)/b^12","A",0
447,1,55,0,1.269098," ","integrate(x*(B*x+A)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} B}{b^{3}} + \frac{2 \, {\left(6 \, {\left(b x + a\right)} B a - B a^{2} - 3 \, {\left(b x + a\right)} A b + A a b\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{3}}"," ",0,"2*sqrt(b*x + a)*B/b^3 + 2/3*(6*(b*x + a)*B*a - B*a^2 - 3*(b*x + a)*A*b + A*a*b)/((b*x + a)^(3/2)*b^3)","A",0
448,1,28,0,1.208582," ","integrate((B*x+A)/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, {\left(b x + a\right)} B - B a + A b\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2}}"," ",0,"-2/3*(3*(b*x + a)*B - B*a + A*b)/((b*x + a)^(3/2)*b^2)","A",0
449,1,61,0,1.321073," ","integrate((B*x+A)/x/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, A \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} - \frac{2 \, {\left(B a^{2} - 3 \, {\left(b x + a\right)} A b - A a b\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b}"," ",0,"2*A*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) - 2/3*(B*a^2 - 3*(b*x + a)*A*b - A*a*b)/((b*x + a)^(3/2)*a^2*b)","A",0
450,1,90,0,1.254928," ","integrate((B*x+A)/x^2/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{{\left(2 \, B a - 5 \, A b\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{3}} - \frac{\sqrt{b x + a} A}{a^{3} x} + \frac{2 \, {\left(3 \, {\left(b x + a\right)} B a + B a^{2} - 6 \, {\left(b x + a\right)} A b - A a b\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3}}"," ",0,"(2*B*a - 5*A*b)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^3) - sqrt(b*x + a)*A/(a^3*x) + 2/3*(3*(b*x + a)*B*a + B*a^2 - 6*(b*x + a)*A*b - A*a*b)/((b*x + a)^(3/2)*a^3)","A",0
451,1,149,0,1.325887," ","integrate((B*x+A)/x^3/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{5 \, {\left(4 \, B a b - 7 \, A b^{2}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{4 \, \sqrt{-a} a^{4}} - \frac{2 \, {\left(6 \, {\left(b x + a\right)} B a b + B a^{2} b - 9 \, {\left(b x + a\right)} A b^{2} - A a b^{2}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4}} - \frac{4 \, {\left(b x + a\right)}^{\frac{3}{2}} B a b - 4 \, \sqrt{b x + a} B a^{2} b - 11 \, {\left(b x + a\right)}^{\frac{3}{2}} A b^{2} + 13 \, \sqrt{b x + a} A a b^{2}}{4 \, a^{4} b^{2} x^{2}}"," ",0,"-5/4*(4*B*a*b - 7*A*b^2)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^4) - 2/3*(6*(b*x + a)*B*a*b + B*a^2*b - 9*(b*x + a)*A*b^2 - A*a*b^2)/((b*x + a)^(3/2)*a^4) - 1/4*(4*(b*x + a)^(3/2)*B*a*b - 4*sqrt(b*x + a)*B*a^2*b - 11*(b*x + a)^(3/2)*A*b^2 + 13*sqrt(b*x + a)*A*a*b^2)/(a^4*b^2*x^2)","A",0
452,1,200,0,1.290249," ","integrate((B*x+A)/x^4/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{35 \, {\left(2 \, B a b^{2} - 3 \, A b^{3}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{8 \, \sqrt{-a} a^{5}} + \frac{210 \, {\left(b x + a\right)}^{4} B a b^{2} - 560 \, {\left(b x + a\right)}^{3} B a^{2} b^{2} + 462 \, {\left(b x + a\right)}^{2} B a^{3} b^{2} - 96 \, {\left(b x + a\right)} B a^{4} b^{2} - 16 \, B a^{5} b^{2} - 315 \, {\left(b x + a\right)}^{4} A b^{3} + 840 \, {\left(b x + a\right)}^{3} A a b^{3} - 693 \, {\left(b x + a\right)}^{2} A a^{2} b^{3} + 144 \, {\left(b x + a\right)} A a^{3} b^{3} + 16 \, A a^{4} b^{3}}{24 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - \sqrt{b x + a} a\right)}^{3} a^{5}}"," ",0,"35/8*(2*B*a*b^2 - 3*A*b^3)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^5) + 1/24*(210*(b*x + a)^4*B*a*b^2 - 560*(b*x + a)^3*B*a^2*b^2 + 462*(b*x + a)^2*B*a^3*b^2 - 96*(b*x + a)*B*a^4*b^2 - 16*B*a^5*b^2 - 315*(b*x + a)^4*A*b^3 + 840*(b*x + a)^3*A*a*b^3 - 693*(b*x + a)^2*A*a^2*b^3 + 144*(b*x + a)*A*a^3*b^3 + 16*A*a^4*b^3)/(((b*x + a)^(3/2) - sqrt(b*x + a)*a)^3*a^5)","A",0
453,1,223,0,1.379458," ","integrate((B*x+A)/x^5/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{105 \, {\left(8 \, B a b^{3} - 11 \, A b^{4}\right)} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{64 \, \sqrt{-a} a^{6}} - \frac{2 \, {\left(12 \, {\left(b x + a\right)} B a b^{3} + B a^{2} b^{3} - 15 \, {\left(b x + a\right)} A b^{4} - A a b^{4}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{6}} - \frac{984 \, {\left(b x + a\right)}^{\frac{7}{2}} B a b^{3} - 3224 \, {\left(b x + a\right)}^{\frac{5}{2}} B a^{2} b^{3} + 3560 \, {\left(b x + a\right)}^{\frac{3}{2}} B a^{3} b^{3} - 1320 \, \sqrt{b x + a} B a^{4} b^{3} - 1545 \, {\left(b x + a\right)}^{\frac{7}{2}} A b^{4} + 5153 \, {\left(b x + a\right)}^{\frac{5}{2}} A a b^{4} - 5855 \, {\left(b x + a\right)}^{\frac{3}{2}} A a^{2} b^{4} + 2295 \, \sqrt{b x + a} A a^{3} b^{4}}{192 \, a^{6} b^{4} x^{4}}"," ",0,"-105/64*(8*B*a*b^3 - 11*A*b^4)*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^6) - 2/3*(12*(b*x + a)*B*a*b^3 + B*a^2*b^3 - 15*(b*x + a)*A*b^4 - A*a*b^4)/((b*x + a)^(3/2)*a^6) - 1/192*(984*(b*x + a)^(7/2)*B*a*b^3 - 3224*(b*x + a)^(5/2)*B*a^2*b^3 + 3560*(b*x + a)^(3/2)*B*a^3*b^3 - 1320*sqrt(b*x + a)*B*a^4*b^3 - 1545*(b*x + a)^(7/2)*A*b^4 + 5153*(b*x + a)^(5/2)*A*a*b^4 - 5855*(b*x + a)^(3/2)*A*a^2*b^4 + 2295*sqrt(b*x + a)*A*a^3*b^4)/(a^6*b^4*x^4)","A",0
454,1,74,0,1.355686," ","integrate((b*x+a)^2/x^2/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{d x + c} b^{2} - \frac{\sqrt{d x + c} a^{2} d}{c x} + \frac{{\left(4 \, a b c d - a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{\sqrt{-c} c}}{d}"," ",0,"(2*sqrt(d*x + c)*b^2 - sqrt(d*x + c)*a^2*d/(c*x) + (4*a*b*c*d - a^2*d^2)*arctan(sqrt(d*x + c)/sqrt(-c))/(sqrt(-c)*c))/d","A",0
455,1,305,0,1.339018," ","integrate(x^3*(d*x+c)^(5/2)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3}\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^{6}} + \frac{2 \, {\left(315 \, {\left(d x + c\right)}^{\frac{11}{2}} b^{10} d^{30} - 770 \, {\left(d x + c\right)}^{\frac{9}{2}} b^{10} c d^{30} + 495 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{10} c^{2} d^{30} - 385 \, {\left(d x + c\right)}^{\frac{9}{2}} a b^{9} d^{31} + 495 \, {\left(d x + c\right)}^{\frac{7}{2}} a b^{9} c d^{31} + 495 \, {\left(d x + c\right)}^{\frac{7}{2}} a^{2} b^{8} d^{32} - 693 \, {\left(d x + c\right)}^{\frac{5}{2}} a^{3} b^{7} d^{33} - 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{3} b^{7} c d^{33} - 3465 \, \sqrt{d x + c} a^{3} b^{7} c^{2} d^{33} + 1155 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{4} b^{6} d^{34} + 6930 \, \sqrt{d x + c} a^{4} b^{6} c d^{34} - 3465 \, \sqrt{d x + c} a^{5} b^{5} d^{35}\right)}}{3465 \, b^{11} d^{33}}"," ",0,"-2*(a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^6) + 2/3465*(315*(d*x + c)^(11/2)*b^10*d^30 - 770*(d*x + c)^(9/2)*b^10*c*d^30 + 495*(d*x + c)^(7/2)*b^10*c^2*d^30 - 385*(d*x + c)^(9/2)*a*b^9*d^31 + 495*(d*x + c)^(7/2)*a*b^9*c*d^31 + 495*(d*x + c)^(7/2)*a^2*b^8*d^32 - 693*(d*x + c)^(5/2)*a^3*b^7*d^33 - 1155*(d*x + c)^(3/2)*a^3*b^7*c*d^33 - 3465*sqrt(d*x + c)*a^3*b^7*c^2*d^33 + 1155*(d*x + c)^(3/2)*a^4*b^6*d^34 + 6930*sqrt(d*x + c)*a^4*b^6*c*d^34 - 3465*sqrt(d*x + c)*a^5*b^5*d^35)/(b^11*d^33)","A",0
456,1,252,0,1.318171," ","integrate(x^2*(d*x+c)^(5/2)/(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(a^{2} b^{3} c^{3} - 3 \, a^{3} b^{2} c^{2} d + 3 \, a^{4} b c d^{2} - a^{5} d^{3}\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^{5}} + \frac{2 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} b^{8} d^{16} - 45 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{8} c d^{16} - 45 \, {\left(d x + c\right)}^{\frac{7}{2}} a b^{7} d^{17} + 63 \, {\left(d x + c\right)}^{\frac{5}{2}} a^{2} b^{6} d^{18} + 105 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b^{6} c d^{18} + 315 \, \sqrt{d x + c} a^{2} b^{6} c^{2} d^{18} - 105 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{3} b^{5} d^{19} - 630 \, \sqrt{d x + c} a^{3} b^{5} c d^{19} + 315 \, \sqrt{d x + c} a^{4} b^{4} d^{20}\right)}}{315 \, b^{9} d^{18}}"," ",0,"2*(a^2*b^3*c^3 - 3*a^3*b^2*c^2*d + 3*a^4*b*c*d^2 - a^5*d^3)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^5) + 2/315*(35*(d*x + c)^(9/2)*b^8*d^16 - 45*(d*x + c)^(7/2)*b^8*c*d^16 - 45*(d*x + c)^(7/2)*a*b^7*d^17 + 63*(d*x + c)^(5/2)*a^2*b^6*d^18 + 105*(d*x + c)^(3/2)*a^2*b^6*c*d^18 + 315*sqrt(d*x + c)*a^2*b^6*c^2*d^18 - 105*(d*x + c)^(3/2)*a^3*b^5*d^19 - 630*sqrt(d*x + c)*a^3*b^5*c*d^19 + 315*sqrt(d*x + c)*a^4*b^4*d^20)/(b^9*d^18)","A",0
457,1,212,0,1.305453," ","integrate(x*(d*x+c)^(5/2)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(a b^{3} c^{3} - 3 \, a^{2} b^{2} c^{2} d + 3 \, a^{3} b c d^{2} - a^{4} 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^{4}} + \frac{2 \, {\left(15 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{6} d^{6} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{5} d^{7} - 35 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{5} c d^{7} - 105 \, \sqrt{d x + c} a b^{5} c^{2} d^{7} + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b^{4} d^{8} + 210 \, \sqrt{d x + c} a^{2} b^{4} c d^{8} - 105 \, \sqrt{d x + c} a^{3} b^{3} d^{9}\right)}}{105 \, b^{7} d^{7}}"," ",0,"-2*(a*b^3*c^3 - 3*a^2*b^2*c^2*d + 3*a^3*b*c*d^2 - a^4*d^3)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^4) + 2/105*(15*(d*x + c)^(7/2)*b^6*d^6 - 21*(d*x + c)^(5/2)*a*b^5*d^7 - 35*(d*x + c)^(3/2)*a*b^5*c*d^7 - 105*sqrt(d*x + c)*a*b^5*c^2*d^7 + 35*(d*x + c)^(3/2)*a^2*b^4*d^8 + 210*sqrt(d*x + c)*a^2*b^4*c*d^8 - 105*sqrt(d*x + c)*a^3*b^3*d^9)/(b^7*d^7)","A",0
458,1,171,0,1.304059," ","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
459,1,154,0,1.265853," ","integrate((d*x+c)^(5/2)/x/(b*x+a),x, algorithm=""giac"")","\frac{2 \, c^{3} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{a \sqrt{-c}} - \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} a b^{2}} + \frac{2 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} b^{2} d + 6 \, \sqrt{d x + c} b^{2} c d - 3 \, \sqrt{d x + c} a b d^{2}\right)}}{3 \, b^{3}}"," ",0,"2*c^3*arctan(sqrt(d*x + c)/sqrt(-c))/(a*sqrt(-c)) - 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)*a*b^2) + 2/3*((d*x + c)^(3/2)*b^2*d + 6*sqrt(d*x + c)*b^2*c*d - 3*sqrt(d*x + c)*a*b*d^2)/b^3","A",0
460,1,152,0,1.280252," ","integrate((d*x+c)^(5/2)/x^2/(b*x+a),x, algorithm=""giac"")","\frac{2 \, \sqrt{d x + c} d^{2}}{b} - \frac{\sqrt{d x + c} c^{2}}{a x} - \frac{{\left(2 \, b c^{3} - 5 \, a c^{2} d\right)} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{a^{2} \sqrt{-c}} + \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} a^{2} b}"," ",0,"2*sqrt(d*x + c)*d^2/b - sqrt(d*x + c)*c^2/(a*x) - (2*b*c^3 - 5*a*c^2*d)*arctan(sqrt(d*x + c)/sqrt(-c))/(a^2*sqrt(-c)) + 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)*a^2*b)","A",0
461,1,198,0,1.411706," ","integrate((d*x+c)^(5/2)/x^3/(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} a^{3}} + \frac{{\left(8 \, b^{2} c^{3} - 20 \, a b c^{2} d + 15 \, a^{2} c d^{2}\right)} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{4 \, a^{3} \sqrt{-c}} + \frac{4 \, {\left(d x + c\right)}^{\frac{3}{2}} b c^{2} d - 4 \, \sqrt{d x + c} b c^{3} d - 9 \, {\left(d x + c\right)}^{\frac{3}{2}} a c d^{2} + 7 \, \sqrt{d x + c} a c^{2} d^{2}}{4 \, a^{2} d^{2} x^{2}}"," ",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)*a^3) + 1/4*(8*b^2*c^3 - 20*a*b*c^2*d + 15*a^2*c*d^2)*arctan(sqrt(d*x + c)/sqrt(-c))/(a^3*sqrt(-c)) + 1/4*(4*(d*x + c)^(3/2)*b*c^2*d - 4*sqrt(d*x + c)*b*c^3*d - 9*(d*x + c)^(3/2)*a*c*d^2 + 7*sqrt(d*x + c)*a*c^2*d^2)/(a^2*d^2*x^2)","A",0
462,1,300,0,1.290094," ","integrate((d*x+c)^(5/2)/x^4/(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\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)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} a^{4}} - \frac{{\left(16 \, b^{3} c^{3} - 40 \, a b^{2} c^{2} d + 30 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{8 \, a^{4} \sqrt{-c}} - \frac{24 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} c^{2} d - 48 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c^{3} d + 24 \, \sqrt{d x + c} b^{2} c^{4} d - 54 \, {\left(d x + c\right)}^{\frac{5}{2}} a b c d^{2} + 96 \, {\left(d x + c\right)}^{\frac{3}{2}} a b c^{2} d^{2} - 42 \, \sqrt{d x + c} a b c^{3} d^{2} + 33 \, {\left(d x + c\right)}^{\frac{5}{2}} a^{2} d^{3} - 40 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} c d^{3} + 15 \, \sqrt{d x + c} a^{2} c^{2} d^{3}}{24 \, a^{3} d^{3} x^{3}}"," ",0,"2*(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^4) - 1/8*(16*b^3*c^3 - 40*a*b^2*c^2*d + 30*a^2*b*c*d^2 - 5*a^3*d^3)*arctan(sqrt(d*x + c)/sqrt(-c))/(a^4*sqrt(-c)) - 1/24*(24*(d*x + c)^(5/2)*b^2*c^2*d - 48*(d*x + c)^(3/2)*b^2*c^3*d + 24*sqrt(d*x + c)*b^2*c^4*d - 54*(d*x + c)^(5/2)*a*b*c*d^2 + 96*(d*x + c)^(3/2)*a*b*c^2*d^2 - 42*sqrt(d*x + c)*a*b*c^3*d^2 + 33*(d*x + c)^(5/2)*a^2*d^3 - 40*(d*x + c)^(3/2)*a^2*c*d^3 + 15*sqrt(d*x + c)*a^2*c^2*d^3)/(a^3*d^3*x^3)","A",0
463,0,0,0,0.000000," ","integrate(1/x^(1/3)/(d*x+4*c)/(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(d x + 4 \, c\right)} \sqrt{d x + c} x^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((d*x + 4*c)*sqrt(d*x + c)*x^(1/3)), x)","F",0
464,0,0,0,0.000000," ","integrate(1/x^(1/3)/(-d*x+8*c)/(d*x+c)^(1/2),x, algorithm=""giac"")","\int -\frac{1}{\sqrt{d x + c} {\left(d x - 8 \, c\right)} x^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(-1/(sqrt(d*x + c)*(d*x - 8*c)*x^(1/3)), x)","F",0
465,1,166,0,1.369319," ","integrate((d*x+c)^(1/2)/x^2/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(4 \, b^{2} c - 3 \, a b 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} a^{3}} - \frac{{\left(4 \, b c - a d\right)} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{a^{3} \sqrt{-c}} - \frac{2 \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 2 \, \sqrt{d x + c} b c d + \sqrt{d x + c} a d^{2}}{{\left({\left(d x + c\right)}^{2} b - 2 \, {\left(d x + c\right)} b c + b c^{2} + {\left(d x + c\right)} a d - a c d\right)} a^{2}}"," ",0,"(4*b^2*c - 3*a*b*d)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^3) - (4*b*c - a*d)*arctan(sqrt(d*x + c)/sqrt(-c))/(a^3*sqrt(-c)) - (2*(d*x + c)^(3/2)*b*d - 2*sqrt(d*x + c)*b*c*d + sqrt(d*x + c)*a*d^2)/(((d*x + c)^2*b - 2*(d*x + c)*b*c + b*c^2 + (d*x + c)*a*d - a*c*d)*a^2)","A",0
466,1,144,0,1.286016," ","integrate((d*x+c)^(3/2)/x/(b*x+a)^2,x, algorithm=""giac"")","\frac{2 \, c^{2} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{a^{2} \sqrt{-c}} - \frac{{\left(2 \, b^{2} c^{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} a^{2} b} + \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)} a b}"," ",0,"2*c^2*arctan(sqrt(d*x + c)/sqrt(-c))/(a^2*sqrt(-c)) - (2*b^2*c^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)*a^2*b) + (sqrt(d*x + c)*b*c*d - sqrt(d*x + c)*a*d^2)/(((d*x + c)*b - b*c + a*d)*a*b)","A",0
467,1,197,0,1.421704," ","integrate((d*x+c)^(3/2)/x^2/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(4 \, b^{2} c^{2} - 5 \, 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} a^{3}} - \frac{{\left(4 \, b c^{2} - 3 \, a c d\right)} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{a^{3} \sqrt{-c}} - \frac{2 \, {\left(d x + c\right)}^{\frac{3}{2}} b c d - 2 \, \sqrt{d x + c} b c^{2} d - {\left(d x + c\right)}^{\frac{3}{2}} a d^{2} + 2 \, \sqrt{d x + c} a c d^{2}}{{\left({\left(d x + c\right)}^{2} b - 2 \, {\left(d x + c\right)} b c + b c^{2} + {\left(d x + c\right)} a d - a c d\right)} a^{2}}"," ",0,"(4*b^2*c^2 - 5*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)*a^3) - (4*b*c^2 - 3*a*c*d)*arctan(sqrt(d*x + c)/sqrt(-c))/(a^3*sqrt(-c)) - (2*(d*x + c)^(3/2)*b*c*d - 2*sqrt(d*x + c)*b*c^2*d - (d*x + c)^(3/2)*a*d^2 + 2*sqrt(d*x + c)*a*c*d^2)/(((d*x + c)^2*b - 2*(d*x + c)*b*c + b*c^2 + (d*x + c)*a*d - a*c*d)*a^2)","A",0
468,1,323,0,1.337861," ","integrate(x^3*(d*x+c)^(5/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(6 \, a^{2} b^{3} c^{3} - 23 \, a^{3} b^{2} c^{2} d + 28 \, a^{4} b c d^{2} - 11 \, a^{5} 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^{6}} + \frac{\sqrt{d x + c} a^{3} b^{2} c^{2} d - 2 \, \sqrt{d x + c} a^{4} b c d^{2} + \sqrt{d x + c} a^{5} d^{3}}{{\left({\left(d x + c\right)} b - b c + a d\right)} b^{6}} + \frac{2 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} b^{16} d^{16} - 45 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{16} c d^{16} - 90 \, {\left(d x + c\right)}^{\frac{7}{2}} a b^{15} d^{17} + 189 \, {\left(d x + c\right)}^{\frac{5}{2}} a^{2} b^{14} d^{18} + 315 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b^{14} c d^{18} + 945 \, \sqrt{d x + c} a^{2} b^{14} c^{2} d^{18} - 420 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{3} b^{13} d^{19} - 2520 \, \sqrt{d x + c} a^{3} b^{13} c d^{19} + 1575 \, \sqrt{d x + c} a^{4} b^{12} d^{20}\right)}}{315 \, b^{18} d^{18}}"," ",0,"(6*a^2*b^3*c^3 - 23*a^3*b^2*c^2*d + 28*a^4*b*c*d^2 - 11*a^5*d^3)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^6) + (sqrt(d*x + c)*a^3*b^2*c^2*d - 2*sqrt(d*x + c)*a^4*b*c*d^2 + sqrt(d*x + c)*a^5*d^3)/(((d*x + c)*b - b*c + a*d)*b^6) + 2/315*(35*(d*x + c)^(9/2)*b^16*d^16 - 45*(d*x + c)^(7/2)*b^16*c*d^16 - 90*(d*x + c)^(7/2)*a*b^15*d^17 + 189*(d*x + c)^(5/2)*a^2*b^14*d^18 + 315*(d*x + c)^(3/2)*a^2*b^14*c*d^18 + 945*sqrt(d*x + c)*a^2*b^14*c^2*d^18 - 420*(d*x + c)^(3/2)*a^3*b^13*d^19 - 2520*sqrt(d*x + c)*a^3*b^13*c*d^19 + 1575*sqrt(d*x + c)*a^4*b^12*d^20)/(b^18*d^18)","A",0
469,1,285,0,1.308903," ","integrate(x^2*(d*x+c)^(5/2)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(4 \, a b^{3} c^{3} - 17 \, a^{2} b^{2} c^{2} d + 22 \, a^{3} b c d^{2} - 9 \, a^{4} 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^{5}} - \frac{\sqrt{d x + c} a^{2} b^{2} c^{2} d - 2 \, \sqrt{d x + c} a^{3} b c d^{2} + \sqrt{d x + c} a^{4} d^{3}}{{\left({\left(d x + c\right)} b - b c + a d\right)} b^{5}} + \frac{2 \, {\left(15 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{12} d^{6} - 42 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{11} d^{7} - 70 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{11} c d^{7} - 210 \, \sqrt{d x + c} a b^{11} c^{2} d^{7} + 105 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b^{10} d^{8} + 630 \, \sqrt{d x + c} a^{2} b^{10} c d^{8} - 420 \, \sqrt{d x + c} a^{3} b^{9} d^{9}\right)}}{105 \, b^{14} d^{7}}"," ",0,"-(4*a*b^3*c^3 - 17*a^2*b^2*c^2*d + 22*a^3*b*c*d^2 - 9*a^4*d^3)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*b^5) - (sqrt(d*x + c)*a^2*b^2*c^2*d - 2*sqrt(d*x + c)*a^3*b*c*d^2 + sqrt(d*x + c)*a^4*d^3)/(((d*x + c)*b - b*c + a*d)*b^5) + 2/105*(15*(d*x + c)^(7/2)*b^12*d^6 - 42*(d*x + c)^(5/2)*a*b^11*d^7 - 70*(d*x + c)^(3/2)*a*b^11*c*d^7 - 210*sqrt(d*x + c)*a*b^11*c^2*d^7 + 105*(d*x + c)^(3/2)*a^2*b^10*d^8 + 630*sqrt(d*x + c)*a^2*b^10*c*d^8 - 420*sqrt(d*x + c)*a^3*b^9*d^9)/(b^14*d^7)","A",0
470,1,240,0,1.311904," ","integrate(x*(d*x+c)^(5/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(2 \, b^{3} c^{3} - 11 \, a b^{2} c^{2} d + 16 \, a^{2} b c d^{2} - 7 \, 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^{4}} + \frac{\sqrt{d x + c} a b^{2} c^{2} d - 2 \, \sqrt{d x + c} a^{2} b c d^{2} + \sqrt{d x + c} a^{3} d^{3}}{{\left({\left(d x + c\right)} b - b c + a d\right)} b^{4}} + \frac{2 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{8} + 5 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{8} c + 15 \, \sqrt{d x + c} b^{8} c^{2} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{7} d - 60 \, \sqrt{d x + c} a b^{7} c d + 45 \, \sqrt{d x + c} a^{2} b^{6} d^{2}\right)}}{15 \, b^{10}}"," ",0,"(2*b^3*c^3 - 11*a*b^2*c^2*d + 16*a^2*b*c*d^2 - 7*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^4) + (sqrt(d*x + c)*a*b^2*c^2*d - 2*sqrt(d*x + c)*a^2*b*c*d^2 + sqrt(d*x + c)*a^3*d^3)/(((d*x + c)*b - b*c + a*d)*b^4) + 2/15*(3*(d*x + c)^(5/2)*b^8 + 5*(d*x + c)^(3/2)*b^8*c + 15*sqrt(d*x + c)*b^8*c^2 - 10*(d*x + c)^(3/2)*a*b^7*d - 60*sqrt(d*x + c)*a*b^7*c*d + 45*sqrt(d*x + c)*a^2*b^6*d^2)/b^10","A",0
471,1,181,0,1.280236," ","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
472,1,193,0,1.304108," ","integrate((d*x+c)^(5/2)/x/(b*x+a)^2,x, algorithm=""giac"")","\frac{2 \, c^{3} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{a^{2} \sqrt{-c}} + \frac{2 \, \sqrt{d x + c} d^{2}}{b^{2}} - \frac{{\left(2 \, b^{3} c^{3} - a b^{2} c^{2} d - 4 \, a^{2} b c d^{2} + 3 \, 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} a^{2} b^{2}} + \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)} a b^{2}}"," ",0,"2*c^3*arctan(sqrt(d*x + c)/sqrt(-c))/(a^2*sqrt(-c)) + 2*sqrt(d*x + c)*d^2/b^2 - (2*b^3*c^3 - a*b^2*c^2*d - 4*a^2*b*c*d^2 + 3*a^3*d^3)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^2*b^2) + (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)*a*b^2)","A",0
473,1,260,0,1.393937," ","integrate((d*x+c)^(5/2)/x^2/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(4 \, b c^{3} - 5 \, a c^{2} d\right)} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{a^{3} \sqrt{-c}} + \frac{{\left(4 \, b^{3} c^{3} - 7 \, a b^{2} c^{2} d + 2 \, 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} a^{3} b} - \frac{2 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c^{2} d - 2 \, \sqrt{d x + c} b^{2} c^{3} d - 2 \, {\left(d x + c\right)}^{\frac{3}{2}} a b c d^{2} + 3 \, \sqrt{d x + c} a b c^{2} d^{2} + {\left(d x + c\right)}^{\frac{3}{2}} a^{2} d^{3} - \sqrt{d x + c} a^{2} c d^{3}}{{\left({\left(d x + c\right)}^{2} b - 2 \, {\left(d x + c\right)} b c + b c^{2} + {\left(d x + c\right)} a d - a c d\right)} a^{2} b}"," ",0,"-(4*b*c^3 - 5*a*c^2*d)*arctan(sqrt(d*x + c)/sqrt(-c))/(a^3*sqrt(-c)) + (4*b^3*c^3 - 7*a*b^2*c^2*d + 2*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)*a^3*b) - (2*(d*x + c)^(3/2)*b^2*c^2*d - 2*sqrt(d*x + c)*b^2*c^3*d - 2*(d*x + c)^(3/2)*a*b*c*d^2 + 3*sqrt(d*x + c)*a*b*c^2*d^2 + (d*x + c)^(3/2)*a^2*d^3 - sqrt(d*x + c)*a^2*c*d^3)/(((d*x + c)^2*b - 2*(d*x + c)*b*c + b*c^2 + (d*x + c)*a*d - a*c*d)*a^2*b)","B",0
474,1,265,0,1.360184," ","integrate((d*x+c)^(5/2)/x^3/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(6 \, b^{3} c^{3} - 13 \, a b^{2} c^{2} d + 8 \, 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} a^{4}} + \frac{{\left(24 \, b^{2} c^{3} - 40 \, a b c^{2} d + 15 \, a^{2} c d^{2}\right)} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{4 \, a^{4} \sqrt{-c}} + \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)} a^{3}} + \frac{8 \, {\left(d x + c\right)}^{\frac{3}{2}} b c^{2} d - 8 \, \sqrt{d x + c} b c^{3} d - 9 \, {\left(d x + c\right)}^{\frac{3}{2}} a c d^{2} + 7 \, \sqrt{d x + c} a c^{2} d^{2}}{4 \, a^{3} d^{2} x^{2}}"," ",0,"-(6*b^3*c^3 - 13*a*b^2*c^2*d + 8*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)*a^4) + 1/4*(24*b^2*c^3 - 40*a*b*c^2*d + 15*a^2*c*d^2)*arctan(sqrt(d*x + c)/sqrt(-c))/(a^4*sqrt(-c)) + (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)*a^3) + 1/4*(8*(d*x + c)^(3/2)*b*c^2*d - 8*sqrt(d*x + c)*b*c^3*d - 9*(d*x + c)^(3/2)*a*c*d^2 + 7*sqrt(d*x + c)*a*c^2*d^2)/(a^3*d^2*x^2)","A",0
475,1,370,0,1.367874," ","integrate((d*x+c)^(5/2)/x^4/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(8 \, b^{4} c^{3} - 19 \, a b^{3} c^{2} d + 14 \, a^{2} b^{2} c d^{2} - 3 \, a^{3} b 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} a^{5}} - \frac{{\left(64 \, b^{3} c^{3} - 120 \, a b^{2} c^{2} d + 60 \, a^{2} b c d^{2} - 5 \, a^{3} d^{3}\right)} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{8 \, a^{5} \sqrt{-c}} - \frac{\sqrt{d x + c} b^{3} c^{2} d - 2 \, \sqrt{d x + c} a b^{2} c d^{2} + \sqrt{d x + c} a^{2} b d^{3}}{{\left({\left(d x + c\right)} b - b c + a d\right)} a^{4}} - \frac{72 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} c^{2} d - 144 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c^{3} d + 72 \, \sqrt{d x + c} b^{2} c^{4} d - 108 \, {\left(d x + c\right)}^{\frac{5}{2}} a b c d^{2} + 192 \, {\left(d x + c\right)}^{\frac{3}{2}} a b c^{2} d^{2} - 84 \, \sqrt{d x + c} a b c^{3} d^{2} + 33 \, {\left(d x + c\right)}^{\frac{5}{2}} a^{2} d^{3} - 40 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} c d^{3} + 15 \, \sqrt{d x + c} a^{2} c^{2} d^{3}}{24 \, a^{4} d^{3} x^{3}}"," ",0,"(8*b^4*c^3 - 19*a*b^3*c^2*d + 14*a^2*b^2*c*d^2 - 3*a^3*b*d^3)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^5) - 1/8*(64*b^3*c^3 - 120*a*b^2*c^2*d + 60*a^2*b*c*d^2 - 5*a^3*d^3)*arctan(sqrt(d*x + c)/sqrt(-c))/(a^5*sqrt(-c)) - (sqrt(d*x + c)*b^3*c^2*d - 2*sqrt(d*x + c)*a*b^2*c*d^2 + sqrt(d*x + c)*a^2*b*d^3)/(((d*x + c)*b - b*c + a*d)*a^4) - 1/24*(72*(d*x + c)^(5/2)*b^2*c^2*d - 144*(d*x + c)^(3/2)*b^2*c^3*d + 72*sqrt(d*x + c)*b^2*c^4*d - 108*(d*x + c)^(5/2)*a*b*c*d^2 + 192*(d*x + c)^(3/2)*a*b*c^2*d^2 - 84*sqrt(d*x + c)*a*b*c^3*d^2 + 33*(d*x + c)^(5/2)*a^2*d^3 - 40*(d*x + c)^(3/2)*a^2*c*d^3 + 15*sqrt(d*x + c)*a^2*c^2*d^3)/(a^4*d^3*x^3)","A",0
476,1,236,0,1.284699," ","integrate(1/x^2/(b*x+a)^2/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{{\left(4 \, b^{3} c - 5 \, a b^{2} d\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\left(a^{3} b c - a^{4} d\right)} \sqrt{-b^{2} c + a b d}} - \frac{2 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 2 \, \sqrt{d x + c} b^{2} c^{2} d - {\left(d x + c\right)}^{\frac{3}{2}} a b d^{2} + 2 \, \sqrt{d x + c} a b c d^{2} - \sqrt{d x + c} a^{2} d^{3}}{{\left(a^{2} b c^{2} - a^{3} c d\right)} {\left({\left(d x + c\right)}^{2} b - 2 \, {\left(d x + c\right)} b c + b c^{2} + {\left(d x + c\right)} a d - a c d\right)}} - \frac{{\left(4 \, b c + a d\right)} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{a^{3} \sqrt{-c} c}"," ",0,"(4*b^3*c - 5*a*b^2*d)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((a^3*b*c - a^4*d)*sqrt(-b^2*c + a*b*d)) - (2*(d*x + c)^(3/2)*b^2*c*d - 2*sqrt(d*x + c)*b^2*c^2*d - (d*x + c)^(3/2)*a*b*d^2 + 2*sqrt(d*x + c)*a*b*c*d^2 - sqrt(d*x + c)*a^2*d^3)/((a^2*b*c^2 - a^3*c*d)*((d*x + c)^2*b - 2*(d*x + c)*b*c + b*c^2 + (d*x + c)*a*d - a*c*d)) - (4*b*c + a*d)*arctan(sqrt(d*x + c)/sqrt(-c))/(a^3*sqrt(-c)*c)","A",0
477,1,338,0,1.228341," ","integrate(1/x^2/(b*x+a)^2/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{{\left(4 \, b^{4} c - 7 \, a b^{3} d\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\left(a^{3} b^{2} c^{2} - 2 \, a^{4} b c d + a^{5} d^{2}\right)} \sqrt{-b^{2} c + a b d}} - \frac{2 \, {\left(d x + c\right)}^{2} b^{3} c^{2} d - 2 \, {\left(d x + c\right)} b^{3} c^{3} d - 2 \, {\left(d x + c\right)}^{2} a b^{2} c d^{2} + 3 \, {\left(d x + c\right)} a b^{2} c^{2} d^{2} + 3 \, {\left(d x + c\right)}^{2} a^{2} b d^{3} - 7 \, {\left(d x + c\right)} a^{2} b c d^{3} + 2 \, a^{2} b c^{2} d^{3} + 3 \, {\left(d x + c\right)} a^{3} d^{4} - 2 \, a^{3} c d^{4}}{{\left(a^{2} b^{2} c^{4} - 2 \, a^{3} b c^{3} d + a^{4} c^{2} d^{2}\right)} {\left({\left(d x + c\right)}^{\frac{5}{2}} b - 2 \, {\left(d x + c\right)}^{\frac{3}{2}} b c + \sqrt{d x + c} b c^{2} + {\left(d x + c\right)}^{\frac{3}{2}} a d - \sqrt{d x + c} a c d\right)}} - \frac{{\left(4 \, b c + 3 \, a d\right)} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{a^{3} \sqrt{-c} c^{2}}"," ",0,"(4*b^4*c - 7*a*b^3*d)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((a^3*b^2*c^2 - 2*a^4*b*c*d + a^5*d^2)*sqrt(-b^2*c + a*b*d)) - (2*(d*x + c)^2*b^3*c^2*d - 2*(d*x + c)*b^3*c^3*d - 2*(d*x + c)^2*a*b^2*c*d^2 + 3*(d*x + c)*a*b^2*c^2*d^2 + 3*(d*x + c)^2*a^2*b*d^3 - 7*(d*x + c)*a^2*b*c*d^3 + 2*a^2*b*c^2*d^3 + 3*(d*x + c)*a^3*d^4 - 2*a^3*c*d^4)/((a^2*b^2*c^4 - 2*a^3*b*c^3*d + a^4*c^2*d^2)*((d*x + c)^(5/2)*b - 2*(d*x + c)^(3/2)*b*c + sqrt(d*x + c)*b*c^2 + (d*x + c)^(3/2)*a*d - sqrt(d*x + c)*a*c*d)) - (4*b*c + 3*a*d)*arctan(sqrt(d*x + c)/sqrt(-c))/(a^3*sqrt(-c)*c^2)","A",0
478,1,470,0,1.555982," ","integrate(1/x^2/(b*x+a)^2/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{{\left(4 \, b^{5} c - 9 \, a b^{4} d\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\left(a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3}\right)} \sqrt{-b^{2} c + a b d}} - \frac{2 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{4} c^{3} d - 2 \, \sqrt{d x + c} b^{4} c^{4} d - 3 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{3} c^{2} d^{2} + 4 \, \sqrt{d x + c} a b^{3} c^{3} d^{2} + 3 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b^{2} c d^{3} - 6 \, \sqrt{d x + c} a^{2} b^{2} c^{2} d^{3} - {\left(d x + c\right)}^{\frac{3}{2}} a^{3} b d^{4} + 4 \, \sqrt{d x + c} a^{3} b c d^{4} - \sqrt{d x + c} a^{4} d^{5}}{{\left(a^{2} b^{3} c^{6} - 3 \, a^{3} b^{2} c^{5} d + 3 \, a^{4} b c^{4} d^{2} - a^{5} c^{3} d^{3}\right)} {\left({\left(d x + c\right)}^{2} b - 2 \, {\left(d x + c\right)} b c + b c^{2} + {\left(d x + c\right)} a d - a c d\right)}} - \frac{2 \, {\left(12 \, {\left(d x + c\right)} b c d^{3} + b c^{2} d^{3} - 6 \, {\left(d x + c\right)} a d^{4} - a c d^{4}\right)}}{3 \, {\left(b^{3} c^{6} - 3 \, a b^{2} c^{5} d + 3 \, a^{2} b c^{4} d^{2} - a^{3} c^{3} d^{3}\right)} {\left(d x + c\right)}^{\frac{3}{2}}} - \frac{{\left(4 \, b c + 5 \, a d\right)} \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right)}{a^{3} \sqrt{-c} c^{3}}"," ",0,"(4*b^5*c - 9*a*b^4*d)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3)*sqrt(-b^2*c + a*b*d)) - (2*(d*x + c)^(3/2)*b^4*c^3*d - 2*sqrt(d*x + c)*b^4*c^4*d - 3*(d*x + c)^(3/2)*a*b^3*c^2*d^2 + 4*sqrt(d*x + c)*a*b^3*c^3*d^2 + 3*(d*x + c)^(3/2)*a^2*b^2*c*d^3 - 6*sqrt(d*x + c)*a^2*b^2*c^2*d^3 - (d*x + c)^(3/2)*a^3*b*d^4 + 4*sqrt(d*x + c)*a^3*b*c*d^4 - sqrt(d*x + c)*a^4*d^5)/((a^2*b^3*c^6 - 3*a^3*b^2*c^5*d + 3*a^4*b*c^4*d^2 - a^5*c^3*d^3)*((d*x + c)^2*b - 2*(d*x + c)*b*c + b*c^2 + (d*x + c)*a*d - a*c*d)) - 2/3*(12*(d*x + c)*b*c*d^3 + b*c^2*d^3 - 6*(d*x + c)*a*d^4 - a*c*d^4)/((b^3*c^6 - 3*a*b^2*c^5*d + 3*a^2*b*c^4*d^2 - a^3*c^3*d^3)*(d*x + c)^(3/2)) - (4*b*c + 5*a*d)*arctan(sqrt(d*x + c)/sqrt(-c))/(a^3*sqrt(-c)*c^3)","A",0
479,-1,0,0,0.000000," ","integrate(x^(5/2)*(B*x+A)*(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
480,-1,0,0,0.000000," ","integrate(x^(3/2)*(B*x+A)*(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
481,-1,0,0,0.000000," ","integrate((B*x+A)*x^(1/2)*(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
482,-1,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
483,-1,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
484,-1,0,0,0.000000," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
485,1,73,0,1.376829," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} b {\left(\frac{{\left(5 \, B a b^{4} - 2 \, A b^{5}\right)} {\left(b x + a\right)}}{a^{2}} - \frac{5 \, {\left(B a^{2} b^{4} - A a b^{5}\right)}}{a^{2}}\right)}}{15 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{5}{2}} {\left| b \right|}}"," ",0,"-2/15*(b*x + a)^(3/2)*b*((5*B*a*b^4 - 2*A*b^5)*(b*x + a)/a^2 - 5*(B*a^2*b^4 - A*a*b^5)/a^2)/(((b*x + a)*b - a*b)^(5/2)*abs(b))","A",0
486,1,105,0,1.326877," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} {\left({\left(b x + a\right)} {\left(\frac{2 \, {\left(7 \, B a b^{6} - 4 \, A b^{7}\right)} {\left(b x + a\right)}}{a^{3}} - \frac{7 \, {\left(7 \, B a^{2} b^{6} - 4 \, A a b^{7}\right)}}{a^{3}}\right)} + \frac{35 \, {\left(B a^{3} b^{6} - A a^{2} b^{7}\right)}}{a^{3}}\right)} b}{105 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{7}{2}} {\left| b \right|}}"," ",0,"2/105*(b*x + a)^(3/2)*((b*x + a)*(2*(7*B*a*b^6 - 4*A*b^7)*(b*x + a)/a^3 - 7*(7*B*a^2*b^6 - 4*A*a*b^7)/a^3) + 35*(B*a^3*b^6 - A*a^2*b^7)/a^3)*b/(((b*x + a)*b - a*b)^(7/2)*abs(b))","A",0
487,1,137,0,1.300180," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^(11/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(3 \, B a b^{8} - 2 \, A b^{9}\right)} {\left(b x + a\right)}}{a^{4}} - \frac{9 \, {\left(3 \, B a^{2} b^{8} - 2 \, A a b^{9}\right)}}{a^{4}}\right)} + \frac{63 \, {\left(3 \, B a^{3} b^{8} - 2 \, A a^{2} b^{9}\right)}}{a^{4}}\right)} - \frac{105 \, {\left(B a^{4} b^{8} - A a^{3} b^{9}\right)}}{a^{4}}\right)} {\left(b x + a\right)}^{\frac{3}{2}} b}{315 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{9}{2}} {\left| b \right|}}"," ",0,"-2/315*((b*x + a)*(4*(b*x + a)*(2*(3*B*a*b^8 - 2*A*b^9)*(b*x + a)/a^4 - 9*(3*B*a^2*b^8 - 2*A*a*b^9)/a^4) + 63*(3*B*a^3*b^8 - 2*A*a^2*b^9)/a^4) - 105*(B*a^4*b^8 - A*a^3*b^9)/a^4)*(b*x + a)^(3/2)*b/(((b*x + a)*b - a*b)^(9/2)*abs(b))","A",0
488,1,169,0,1.115261," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^(13/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(11 \, B a b^{10} - 8 \, A b^{11}\right)} {\left(b x + a\right)}}{a^{5}} - \frac{11 \, {\left(11 \, B a^{2} b^{10} - 8 \, A a b^{11}\right)}}{a^{5}}\right)} + \frac{99 \, {\left(11 \, B a^{3} b^{10} - 8 \, A a^{2} b^{11}\right)}}{a^{5}}\right)} - \frac{231 \, {\left(11 \, B a^{4} b^{10} - 8 \, A a^{3} b^{11}\right)}}{a^{5}}\right)} {\left(b x + a\right)} + \frac{1155 \, {\left(B a^{5} b^{10} - A a^{4} b^{11}\right)}}{a^{5}}\right)} {\left(b x + a\right)}^{\frac{3}{2}} b}{3465 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{11}{2}} {\left| b \right|}}"," ",0,"2/3465*((2*(b*x + a)*(4*(b*x + a)*(2*(11*B*a*b^10 - 8*A*b^11)*(b*x + a)/a^5 - 11*(11*B*a^2*b^10 - 8*A*a*b^11)/a^5) + 99*(11*B*a^3*b^10 - 8*A*a^2*b^11)/a^5) - 231*(11*B*a^4*b^10 - 8*A*a^3*b^11)/a^5)*(b*x + a) + 1155*(B*a^5*b^10 - A*a^4*b^11)/a^5)*(b*x + a)^(3/2)*b/(((b*x + a)*b - a*b)^(11/2)*abs(b))","A",0
489,1,201,0,1.215656," ","integrate((B*x+A)*(b*x+a)^(1/2)/x^(15/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(8 \, {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(13 \, B a b^{12} - 10 \, A b^{13}\right)} {\left(b x + a\right)}}{a^{6}} - \frac{13 \, {\left(13 \, B a^{2} b^{12} - 10 \, A a b^{13}\right)}}{a^{6}}\right)} + \frac{143 \, {\left(13 \, B a^{3} b^{12} - 10 \, A a^{2} b^{13}\right)}}{a^{6}}\right)} - \frac{429 \, {\left(13 \, B a^{4} b^{12} - 10 \, A a^{3} b^{13}\right)}}{a^{6}}\right)} {\left(b x + a\right)} + \frac{3003 \, {\left(13 \, B a^{5} b^{12} - 10 \, A a^{4} b^{13}\right)}}{a^{6}}\right)} {\left(b x + a\right)} - \frac{15015 \, {\left(B a^{6} b^{12} - A a^{5} b^{13}\right)}}{a^{6}}\right)} {\left(b x + a\right)}^{\frac{3}{2}} b}{45045 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{13}{2}} {\left| b \right|}}"," ",0,"-2/45045*((8*(2*(b*x + a)*(4*(b*x + a)*(2*(13*B*a*b^12 - 10*A*b^13)*(b*x + a)/a^6 - 13*(13*B*a^2*b^12 - 10*A*a*b^13)/a^6) + 143*(13*B*a^3*b^12 - 10*A*a^2*b^13)/a^6) - 429*(13*B*a^4*b^12 - 10*A*a^3*b^13)/a^6)*(b*x + a) + 3003*(13*B*a^5*b^12 - 10*A*a^4*b^13)/a^6)*(b*x + a) - 15015*(B*a^6*b^12 - A*a^5*b^13)/a^6)*(b*x + a)^(3/2)*b/(((b*x + a)*b - a*b)^(13/2)*abs(b))","A",0
490,-1,0,0,0.000000," ","integrate(x^(5/2)*(b*x+a)^(3/2)*(B*x+A),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
491,-1,0,0,0.000000," ","integrate(x^(3/2)*(b*x+a)^(3/2)*(B*x+A),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
492,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(B*x+A)*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)^(3/2)*(B*x+A)/x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
494,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
495,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
496,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
497,1,78,0,1.946451," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^(9/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}} b {\left(\frac{{\left(7 \, B a^{2} b^{6} - 2 \, A a b^{7}\right)} {\left(b x + a\right)}}{a^{3}} - \frac{7 \, {\left(B a^{3} b^{6} - A a^{2} b^{7}\right)}}{a^{3}}\right)}}{35 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{7}{2}} {\left| b \right|}}"," ",0,"-2/35*(b*x + a)^(5/2)*b*((7*B*a^2*b^6 - 2*A*a*b^7)*(b*x + a)/a^3 - 7*(B*a^3*b^6 - A*a^2*b^7)/a^3)/(((b*x + a)*b - a*b)^(7/2)*abs(b))","A",0
498,1,110,0,2.008633," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^(11/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}} {\left({\left(b x + a\right)} {\left(\frac{2 \, {\left(9 \, B a^{2} b^{8} - 4 \, A a b^{9}\right)} {\left(b x + a\right)}}{a^{4}} - \frac{9 \, {\left(9 \, B a^{3} b^{8} - 4 \, A a^{2} b^{9}\right)}}{a^{4}}\right)} + \frac{63 \, {\left(B a^{4} b^{8} - A a^{3} b^{9}\right)}}{a^{4}}\right)} b}{315 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{9}{2}} {\left| b \right|}}"," ",0,"2/315*(b*x + a)^(5/2)*((b*x + a)*(2*(9*B*a^2*b^8 - 4*A*a*b^9)*(b*x + a)/a^4 - 9*(9*B*a^3*b^8 - 4*A*a^2*b^9)/a^4) + 63*(B*a^4*b^8 - A*a^3*b^9)/a^4)*b/(((b*x + a)*b - a*b)^(9/2)*abs(b))","A",0
499,1,142,0,2.074850," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^(13/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(11 \, B a^{2} b^{10} - 6 \, A a b^{11}\right)} {\left(b x + a\right)}}{a^{5}} - \frac{11 \, {\left(11 \, B a^{3} b^{10} - 6 \, A a^{2} b^{11}\right)}}{a^{5}}\right)} + \frac{99 \, {\left(11 \, B a^{4} b^{10} - 6 \, A a^{3} b^{11}\right)}}{a^{5}}\right)} - \frac{693 \, {\left(B a^{5} b^{10} - A a^{4} b^{11}\right)}}{a^{5}}\right)} {\left(b x + a\right)}^{\frac{5}{2}} b}{3465 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{11}{2}} {\left| b \right|}}"," ",0,"-2/3465*((b*x + a)*(4*(b*x + a)*(2*(11*B*a^2*b^10 - 6*A*a*b^11)*(b*x + a)/a^5 - 11*(11*B*a^3*b^10 - 6*A*a^2*b^11)/a^5) + 99*(11*B*a^4*b^10 - 6*A*a^3*b^11)/a^5) - 693*(B*a^5*b^10 - A*a^4*b^11)/a^5)*(b*x + a)^(5/2)*b/(((b*x + a)*b - a*b)^(11/2)*abs(b))","A",0
500,1,174,0,2.191923," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^(15/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(13 \, B a^{2} b^{12} - 8 \, A a b^{13}\right)} {\left(b x + a\right)}}{a^{6}} - \frac{13 \, {\left(13 \, B a^{3} b^{12} - 8 \, A a^{2} b^{13}\right)}}{a^{6}}\right)} + \frac{143 \, {\left(13 \, B a^{4} b^{12} - 8 \, A a^{3} b^{13}\right)}}{a^{6}}\right)} - \frac{429 \, {\left(13 \, B a^{5} b^{12} - 8 \, A a^{4} b^{13}\right)}}{a^{6}}\right)} {\left(b x + a\right)} + \frac{3003 \, {\left(B a^{6} b^{12} - A a^{5} b^{13}\right)}}{a^{6}}\right)} {\left(b x + a\right)}^{\frac{5}{2}} b}{15015 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{13}{2}} {\left| b \right|}}"," ",0,"2/15015*((2*(b*x + a)*(4*(b*x + a)*(2*(13*B*a^2*b^12 - 8*A*a*b^13)*(b*x + a)/a^6 - 13*(13*B*a^3*b^12 - 8*A*a^2*b^13)/a^6) + 143*(13*B*a^4*b^12 - 8*A*a^3*b^13)/a^6) - 429*(13*B*a^5*b^12 - 8*A*a^4*b^13)/a^6)*(b*x + a) + 3003*(B*a^6*b^12 - A*a^5*b^13)/a^6)*(b*x + a)^(5/2)*b/(((b*x + a)*b - a*b)^(13/2)*abs(b))","A",0
501,1,206,0,1.855617," ","integrate((b*x+a)^(3/2)*(B*x+A)/x^(17/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(8 \, {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(3 \, B a^{2} b^{14} - 2 \, A a b^{15}\right)} {\left(b x + a\right)}}{a^{7}} - \frac{15 \, {\left(3 \, B a^{3} b^{14} - 2 \, A a^{2} b^{15}\right)}}{a^{7}}\right)} + \frac{195 \, {\left(3 \, B a^{4} b^{14} - 2 \, A a^{3} b^{15}\right)}}{a^{7}}\right)} - \frac{715 \, {\left(3 \, B a^{5} b^{14} - 2 \, A a^{4} b^{15}\right)}}{a^{7}}\right)} {\left(b x + a\right)} + \frac{6435 \, {\left(3 \, B a^{6} b^{14} - 2 \, A a^{5} b^{15}\right)}}{a^{7}}\right)} {\left(b x + a\right)} - \frac{9009 \, {\left(B a^{7} b^{14} - A a^{6} b^{15}\right)}}{a^{7}}\right)} {\left(b x + a\right)}^{\frac{5}{2}} b}{45045 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{15}{2}} {\left| b \right|}}"," ",0,"-2/45045*((8*(2*(b*x + a)*(4*(b*x + a)*(2*(3*B*a^2*b^14 - 2*A*a*b^15)*(b*x + a)/a^7 - 15*(3*B*a^3*b^14 - 2*A*a^2*b^15)/a^7) + 195*(3*B*a^4*b^14 - 2*A*a^3*b^15)/a^7) - 715*(3*B*a^5*b^14 - 2*A*a^4*b^15)/a^7)*(b*x + a) + 6435*(3*B*a^6*b^14 - 2*A*a^5*b^15)/a^7)*(b*x + a) - 9009*(B*a^7*b^14 - A*a^6*b^15)/a^7)*(b*x + a)^(5/2)*b/(((b*x + a)*b - a*b)^(15/2)*abs(b))","A",0
502,-1,0,0,0.000000," ","integrate(x^(3/2)*(b*x+a)^(5/2)*(B*x+A),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
503,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(B*x+A)*x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
504,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
505,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
506,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
507,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
508,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^(9/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
509,1,80,0,1.177620," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^(11/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}} b {\left(\frac{{\left(9 \, B a^{3} b^{8} - 2 \, A a^{2} b^{9}\right)} {\left(b x + a\right)}}{a^{4}} - \frac{9 \, {\left(B a^{4} b^{8} - A a^{3} b^{9}\right)}}{a^{4}}\right)}}{63 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{9}{2}} {\left| b \right|}}"," ",0,"-2/63*(b*x + a)^(7/2)*b*((9*B*a^3*b^8 - 2*A*a^2*b^9)*(b*x + a)/a^4 - 9*(B*a^4*b^8 - A*a^3*b^9)/a^4)/(((b*x + a)*b - a*b)^(9/2)*abs(b))","A",0
510,1,112,0,1.517297," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^(13/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}} {\left({\left(b x + a\right)} {\left(\frac{2 \, {\left(11 \, B a^{3} b^{10} - 4 \, A a^{2} b^{11}\right)} {\left(b x + a\right)}}{a^{5}} - \frac{11 \, {\left(11 \, B a^{4} b^{10} - 4 \, A a^{3} b^{11}\right)}}{a^{5}}\right)} + \frac{99 \, {\left(B a^{5} b^{10} - A a^{4} b^{11}\right)}}{a^{5}}\right)} b}{693 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{11}{2}} {\left| b \right|}}"," ",0,"2/693*(b*x + a)^(7/2)*((b*x + a)*(2*(11*B*a^3*b^10 - 4*A*a^2*b^11)*(b*x + a)/a^5 - 11*(11*B*a^4*b^10 - 4*A*a^3*b^11)/a^5) + 99*(B*a^5*b^10 - A*a^4*b^11)/a^5)*b/(((b*x + a)*b - a*b)^(11/2)*abs(b))","A",0
511,1,144,0,1.222730," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^(15/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(13 \, B a^{3} b^{12} - 6 \, A a^{2} b^{13}\right)} {\left(b x + a\right)}}{a^{6}} - \frac{13 \, {\left(13 \, B a^{4} b^{12} - 6 \, A a^{3} b^{13}\right)}}{a^{6}}\right)} + \frac{143 \, {\left(13 \, B a^{5} b^{12} - 6 \, A a^{4} b^{13}\right)}}{a^{6}}\right)} - \frac{1287 \, {\left(B a^{6} b^{12} - A a^{5} b^{13}\right)}}{a^{6}}\right)} {\left(b x + a\right)}^{\frac{7}{2}} b}{9009 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{13}{2}} {\left| b \right|}}"," ",0,"-2/9009*((b*x + a)*(4*(b*x + a)*(2*(13*B*a^3*b^12 - 6*A*a^2*b^13)*(b*x + a)/a^6 - 13*(13*B*a^4*b^12 - 6*A*a^3*b^13)/a^6) + 143*(13*B*a^5*b^12 - 6*A*a^4*b^13)/a^6) - 1287*(B*a^6*b^12 - A*a^5*b^13)/a^6)*(b*x + a)^(7/2)*b/(((b*x + a)*b - a*b)^(13/2)*abs(b))","A",0
512,1,176,0,1.638670," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^(17/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(15 \, B a^{3} b^{14} - 8 \, A a^{2} b^{15}\right)} {\left(b x + a\right)}}{a^{7}} - \frac{15 \, {\left(15 \, B a^{4} b^{14} - 8 \, A a^{3} b^{15}\right)}}{a^{7}}\right)} + \frac{195 \, {\left(15 \, B a^{5} b^{14} - 8 \, A a^{4} b^{15}\right)}}{a^{7}}\right)} - \frac{715 \, {\left(15 \, B a^{6} b^{14} - 8 \, A a^{5} b^{15}\right)}}{a^{7}}\right)} {\left(b x + a\right)} + \frac{6435 \, {\left(B a^{7} b^{14} - A a^{6} b^{15}\right)}}{a^{7}}\right)} {\left(b x + a\right)}^{\frac{7}{2}} b}{45045 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{15}{2}} {\left| b \right|}}"," ",0,"2/45045*((2*(b*x + a)*(4*(b*x + a)*(2*(15*B*a^3*b^14 - 8*A*a^2*b^15)*(b*x + a)/a^7 - 15*(15*B*a^4*b^14 - 8*A*a^3*b^15)/a^7) + 195*(15*B*a^5*b^14 - 8*A*a^4*b^15)/a^7) - 715*(15*B*a^6*b^14 - 8*A*a^5*b^15)/a^7)*(b*x + a) + 6435*(B*a^7*b^14 - A*a^6*b^15)/a^7)*(b*x + a)^(7/2)*b/(((b*x + a)*b - a*b)^(15/2)*abs(b))","A",0
513,1,208,0,1.615003," ","integrate((b*x+a)^(5/2)*(B*x+A)/x^(19/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(8 \, {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(17 \, B a^{3} b^{16} - 10 \, A a^{2} b^{17}\right)} {\left(b x + a\right)}}{a^{8}} - \frac{17 \, {\left(17 \, B a^{4} b^{16} - 10 \, A a^{3} b^{17}\right)}}{a^{8}}\right)} + \frac{255 \, {\left(17 \, B a^{5} b^{16} - 10 \, A a^{4} b^{17}\right)}}{a^{8}}\right)} - \frac{1105 \, {\left(17 \, B a^{6} b^{16} - 10 \, A a^{5} b^{17}\right)}}{a^{8}}\right)} {\left(b x + a\right)} + \frac{12155 \, {\left(17 \, B a^{7} b^{16} - 10 \, A a^{6} b^{17}\right)}}{a^{8}}\right)} {\left(b x + a\right)} - \frac{109395 \, {\left(B a^{8} b^{16} - A a^{7} b^{17}\right)}}{a^{8}}\right)} {\left(b x + a\right)}^{\frac{7}{2}} b}{765765 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{17}{2}} {\left| b \right|}}"," ",0,"-2/765765*((8*(2*(b*x + a)*(4*(b*x + a)*(2*(17*B*a^3*b^16 - 10*A*a^2*b^17)*(b*x + a)/a^8 - 17*(17*B*a^4*b^16 - 10*A*a^3*b^17)/a^8) + 255*(17*B*a^5*b^16 - 10*A*a^4*b^17)/a^8) - 1105*(17*B*a^6*b^16 - 10*A*a^5*b^17)/a^8)*(b*x + a) + 12155*(17*B*a^7*b^16 - 10*A*a^6*b^17)/a^8)*(b*x + a) - 109395*(B*a^8*b^16 - A*a^7*b^17)/a^8)*(b*x + a)^(7/2)*b/(((b*x + a)*b - a*b)^(17/2)*abs(b))","A",0
514,-1,0,0,0.000000," ","integrate(x^(7/2)*(B*x+A)/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
515,-1,0,0,0.000000," ","integrate(x^(5/2)*(B*x+A)/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
516,-1,0,0,0.000000," ","integrate(x^(3/2)*(B*x+A)/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
517,-1,0,0,0.000000," ","integrate((B*x+A)*x^(1/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
518,-1,0,0,0.000000," ","integrate((B*x+A)/x^(1/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
519,-1,0,0,0.000000," ","integrate((B*x+A)/x^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
520,1,73,0,1.698595," ","integrate((B*x+A)/x^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} b {\left(\frac{{\left(3 \, B a b^{2} - 2 \, A b^{3}\right)} {\left(b x + a\right)}}{a^{2}} - \frac{3 \, {\left(B a^{2} b^{2} - A a b^{3}\right)}}{a^{2}}\right)}}{3 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{3}{2}} {\left| b \right|}}"," ",0,"-2/3*sqrt(b*x + a)*b*((3*B*a*b^2 - 2*A*b^3)*(b*x + a)/a^2 - 3*(B*a^2*b^2 - A*a*b^3)/a^2)/(((b*x + a)*b - a*b)^(3/2)*abs(b))","A",0
521,1,105,0,1.914666," ","integrate((B*x+A)/x^(7/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left({\left(b x + a\right)} {\left(\frac{2 \, {\left(5 \, B a b^{4} - 4 \, A b^{5}\right)} {\left(b x + a\right)}}{a^{3}} - \frac{5 \, {\left(5 \, B a^{2} b^{4} - 4 \, A a b^{5}\right)}}{a^{3}}\right)} + \frac{15 \, {\left(B a^{3} b^{4} - A a^{2} b^{5}\right)}}{a^{3}}\right)} b}{15 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{5}{2}} {\left| b \right|}}"," ",0,"2/15*sqrt(b*x + a)*((b*x + a)*(2*(5*B*a*b^4 - 4*A*b^5)*(b*x + a)/a^3 - 5*(5*B*a^2*b^4 - 4*A*a*b^5)/a^3) + 15*(B*a^3*b^4 - A*a^2*b^5)/a^3)*b/(((b*x + a)*b - a*b)^(5/2)*abs(b))","A",0
522,1,137,0,1.569079," ","integrate((B*x+A)/x^(9/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(7 \, B a b^{6} - 6 \, A b^{7}\right)} {\left(b x + a\right)}}{a^{4}} - \frac{7 \, {\left(7 \, B a^{2} b^{6} - 6 \, A a b^{7}\right)}}{a^{4}}\right)} + \frac{35 \, {\left(7 \, B a^{3} b^{6} - 6 \, A a^{2} b^{7}\right)}}{a^{4}}\right)} - \frac{105 \, {\left(B a^{4} b^{6} - A a^{3} b^{7}\right)}}{a^{4}}\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*((b*x + a)*(4*(b*x + a)*(2*(7*B*a*b^6 - 6*A*b^7)*(b*x + a)/a^4 - 7*(7*B*a^2*b^6 - 6*A*a*b^7)/a^4) + 35*(7*B*a^3*b^6 - 6*A*a^2*b^7)/a^4) - 105*(B*a^4*b^6 - A*a^3*b^7)/a^4)*sqrt(b*x + a)*b/(((b*x + a)*b - a*b)^(7/2)*abs(b))","A",0
523,1,169,0,1.428296," ","integrate((B*x+A)/x^(11/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(9 \, B a b^{8} - 8 \, A b^{9}\right)} {\left(b x + a\right)}}{a^{5}} - \frac{9 \, {\left(9 \, B a^{2} b^{8} - 8 \, A a b^{9}\right)}}{a^{5}}\right)} + \frac{63 \, {\left(9 \, B a^{3} b^{8} - 8 \, A a^{2} b^{9}\right)}}{a^{5}}\right)} - \frac{105 \, {\left(9 \, B a^{4} b^{8} - 8 \, A a^{3} b^{9}\right)}}{a^{5}}\right)} {\left(b x + a\right)} + \frac{315 \, {\left(B a^{5} b^{8} - A a^{4} b^{9}\right)}}{a^{5}}\right)} \sqrt{b x + a} b}{315 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{9}{2}} {\left| b \right|}}"," ",0,"2/315*((2*(b*x + a)*(4*(b*x + a)*(2*(9*B*a*b^8 - 8*A*b^9)*(b*x + a)/a^5 - 9*(9*B*a^2*b^8 - 8*A*a*b^9)/a^5) + 63*(9*B*a^3*b^8 - 8*A*a^2*b^9)/a^5) - 105*(9*B*a^4*b^8 - 8*A*a^3*b^9)/a^5)*(b*x + a) + 315*(B*a^5*b^8 - A*a^4*b^9)/a^5)*sqrt(b*x + a)*b/(((b*x + a)*b - a*b)^(9/2)*abs(b))","A",0
524,1,201,0,1.533419," ","integrate((B*x+A)/x^(13/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(8 \, {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(11 \, B a b^{10} - 10 \, A b^{11}\right)} {\left(b x + a\right)}}{a^{6}} - \frac{11 \, {\left(11 \, B a^{2} b^{10} - 10 \, A a b^{11}\right)}}{a^{6}}\right)} + \frac{99 \, {\left(11 \, B a^{3} b^{10} - 10 \, A a^{2} b^{11}\right)}}{a^{6}}\right)} - \frac{231 \, {\left(11 \, B a^{4} b^{10} - 10 \, A a^{3} b^{11}\right)}}{a^{6}}\right)} {\left(b x + a\right)} + \frac{1155 \, {\left(11 \, B a^{5} b^{10} - 10 \, A a^{4} b^{11}\right)}}{a^{6}}\right)} {\left(b x + a\right)} - \frac{3465 \, {\left(B a^{6} b^{10} - A a^{5} b^{11}\right)}}{a^{6}}\right)} \sqrt{b x + a} b}{3465 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{11}{2}} {\left| b \right|}}"," ",0,"-2/3465*((8*(2*(b*x + a)*(4*(b*x + a)*(2*(11*B*a*b^10 - 10*A*b^11)*(b*x + a)/a^6 - 11*(11*B*a^2*b^10 - 10*A*a*b^11)/a^6) + 99*(11*B*a^3*b^10 - 10*A*a^2*b^11)/a^6) - 231*(11*B*a^4*b^10 - 10*A*a^3*b^11)/a^6)*(b*x + a) + 1155*(11*B*a^5*b^10 - 10*A*a^4*b^11)/a^6)*(b*x + a) - 3465*(B*a^6*b^10 - A*a^5*b^11)/a^6)*sqrt(b*x + a)*b/(((b*x + a)*b - a*b)^(11/2)*abs(b))","A",0
525,1,233,0,1.534055," ","integrate((B*x+A)/x^(15/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(2 \, {\left(8 \, {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(13 \, B a b^{12} - 12 \, A b^{13}\right)} {\left(b x + a\right)}}{a^{7}} - \frac{13 \, {\left(13 \, B a^{2} b^{12} - 12 \, A a b^{13}\right)}}{a^{7}}\right)} + \frac{143 \, {\left(13 \, B a^{3} b^{12} - 12 \, A a^{2} b^{13}\right)}}{a^{7}}\right)} - \frac{429 \, {\left(13 \, B a^{4} b^{12} - 12 \, A a^{3} b^{13}\right)}}{a^{7}}\right)} {\left(b x + a\right)} + \frac{3003 \, {\left(13 \, B a^{5} b^{12} - 12 \, A a^{4} b^{13}\right)}}{a^{7}}\right)} {\left(b x + a\right)} - \frac{3003 \, {\left(13 \, B a^{6} b^{12} - 12 \, A a^{5} b^{13}\right)}}{a^{7}}\right)} {\left(b x + a\right)} + \frac{9009 \, {\left(B a^{7} b^{12} - A a^{6} b^{13}\right)}}{a^{7}}\right)} \sqrt{b x + a} b}{9009 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{13}{2}} {\left| b \right|}}"," ",0,"2/9009*((2*(8*(2*(b*x + a)*(4*(b*x + a)*(2*(13*B*a*b^12 - 12*A*b^13)*(b*x + a)/a^7 - 13*(13*B*a^2*b^12 - 12*A*a*b^13)/a^7) + 143*(13*B*a^3*b^12 - 12*A*a^2*b^13)/a^7) - 429*(13*B*a^4*b^12 - 12*A*a^3*b^13)/a^7)*(b*x + a) + 3003*(13*B*a^5*b^12 - 12*A*a^4*b^13)/a^7)*(b*x + a) - 3003*(13*B*a^6*b^12 - 12*A*a^5*b^13)/a^7)*(b*x + a) + 9009*(B*a^7*b^12 - A*a^6*b^13)/a^7)*sqrt(b*x + a)*b/(((b*x + a)*b - a*b)^(13/2)*abs(b))","A",0
526,1,252,0,107.655982," ","integrate(x^(7/2)*(B*x+A)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{1}{192} \, {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)} B {\left| b \right|}}{b^{7}} - \frac{33 \, B a b^{27} {\left| b \right|} - 8 \, A b^{28} {\left| b \right|}}{b^{34}}\right)} + \frac{315 \, B a^{2} b^{27} {\left| b \right|} - 152 \, A a b^{28} {\left| b \right|}}{b^{34}}\right)} - \frac{3 \, {\left(325 \, B a^{3} b^{27} {\left| b \right|} - 232 \, A a^{2} b^{28} {\left| b \right|}\right)}}{b^{34}}\right)} \sqrt{{\left(b x + a\right)} b - a b} \sqrt{b x + a} - \frac{35 \, {\left(9 \, B a^{4} \sqrt{b} {\left| b \right|} - 8 \, A a^{3} b^{\frac{3}{2}} {\left| b \right|}\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{128 \, b^{7}} - \frac{4 \, {\left(B a^{5} \sqrt{b} {\left| b \right|} - A a^{4} b^{\frac{3}{2}} {\left| b \right|}\right)}}{{\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)} b^{6}}"," ",0,"1/192*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)*B*abs(b)/b^7 - (33*B*a*b^27*abs(b) - 8*A*b^28*abs(b))/b^34) + (315*B*a^2*b^27*abs(b) - 152*A*a*b^28*abs(b))/b^34) - 3*(325*B*a^3*b^27*abs(b) - 232*A*a^2*b^28*abs(b))/b^34)*sqrt((b*x + a)*b - a*b)*sqrt(b*x + a) - 35/128*(9*B*a^4*sqrt(b)*abs(b) - 8*A*a^3*b^(3/2)*abs(b))*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/b^7 - 4*(B*a^5*sqrt(b)*abs(b) - A*a^4*b^(3/2)*abs(b))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)*b^6)","A",0
527,1,217,0,107.339453," ","integrate(x^(5/2)*(B*x+A)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{1}{24} \, \sqrt{{\left(b x + a\right)} b - a b} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)} B {\left| b \right|}}{b^{6}} - \frac{19 \, B a b^{17} {\left| b \right|} - 6 \, A b^{18} {\left| b \right|}}{b^{23}}\right)} + \frac{3 \, {\left(29 \, B a^{2} b^{17} {\left| b \right|} - 18 \, A a b^{18} {\left| b \right|}\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, B a^{3} \sqrt{b} {\left| b \right|} - 6 \, A a^{2} b^{\frac{3}{2}} {\left| b \right|}\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{16 \, b^{6}} + \frac{4 \, {\left(B a^{4} \sqrt{b} {\left| b \right|} - A a^{3} b^{\frac{3}{2}} {\left| b \right|}\right)}}{{\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)} b^{5}}"," ",0,"1/24*sqrt((b*x + a)*b - a*b)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)*B*abs(b)/b^6 - (19*B*a*b^17*abs(b) - 6*A*b^18*abs(b))/b^23) + 3*(29*B*a^2*b^17*abs(b) - 18*A*a*b^18*abs(b))/b^23) + 5/16*(7*B*a^3*sqrt(b)*abs(b) - 6*A*a^2*b^(3/2)*abs(b))*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/b^6 + 4*(B*a^4*sqrt(b)*abs(b) - A*a^3*b^(3/2)*abs(b))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)*b^5)","A",0
528,1,181,0,107.225478," ","integrate(x^(3/2)*(B*x+A)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{{\left(b x + a\right)} b - a b} \sqrt{b x + a} {\left(\frac{2 \, {\left(b x + a\right)} B {\left| b \right|}}{b^{5}} - \frac{9 \, B a b^{9} {\left| b \right|} - 4 \, A b^{10} {\left| b \right|}}{b^{14}}\right)} - \frac{3 \, {\left(5 \, B a^{2} \sqrt{b} {\left| b \right|} - 4 \, A a b^{\frac{3}{2}} {\left| b \right|}\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{8 \, b^{5}} - \frac{4 \, {\left(B a^{3} \sqrt{b} {\left| b \right|} - A a^{2} b^{\frac{3}{2}} {\left| b \right|}\right)}}{{\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)} b^{4}}"," ",0,"1/4*sqrt((b*x + a)*b - a*b)*sqrt(b*x + a)*(2*(b*x + a)*B*abs(b)/b^5 - (9*B*a*b^9*abs(b) - 4*A*b^10*abs(b))/b^14) - 3/8*(5*B*a^2*sqrt(b)*abs(b) - 4*A*a*b^(3/2)*abs(b))*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/b^5 - 4*(B*a^3*sqrt(b)*abs(b) - A*a^2*b^(3/2)*abs(b))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)*b^4)","A",0
529,1,144,0,86.240837," ","integrate((B*x+A)*x^(1/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{{\left(b x + a\right)} b - a b} \sqrt{b x + a} B {\left| b \right|}}{b^{4}} + \frac{{\left(3 \, B a \sqrt{b} {\left| b \right|} - 2 \, A b^{\frac{3}{2}} {\left| b \right|}\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{2 \, b^{4}} + \frac{4 \, {\left(B a^{2} \sqrt{b} {\left| b \right|} - A a b^{\frac{3}{2}} {\left| b \right|}\right)}}{{\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} + a b\right)} b^{3}}"," ",0,"sqrt((b*x + a)*b - a*b)*sqrt(b*x + a)*B*abs(b)/b^4 + 1/2*(3*B*a*sqrt(b)*abs(b) - 2*A*b^(3/2)*abs(b))*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/b^4 + 4*(B*a^2*sqrt(b)*abs(b) - A*a*b^(3/2)*abs(b))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)*b^3)","A",0
530,1,97,0,86.163875," ","integrate((B*x+A)/(b*x+a)^(3/2)/x^(1/2),x, algorithm=""giac"")","-\frac{B \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{\sqrt{b} {\left| b \right|}} - \frac{4 \, {\left(B a \sqrt{b} - A b^{\frac{3}{2}}\right)}}{{\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,"-B*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/(sqrt(b)*abs(b)) - 4*(B*a*sqrt(b) - A*b^(3/2))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)*abs(b))","B",0
531,1,160,0,1.129367," ","integrate((B*x+A)/x^(3/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} A b^{2}}{\sqrt{{\left(b x + a\right)} b - a b} a^{2} {\left| b \right|}} + \frac{4 \, {\left(B^{2} a^{2} b^{3} - 2 \, A B a b^{4} + A^{2} b^{5}\right)}}{{\left(B a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{3}{2}} + B a^{2} b^{\frac{5}{2}} - A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{5}{2}} - A a b^{\frac{7}{2}}\right)} a {\left| b \right|}}"," ",0,"-2*sqrt(b*x + a)*A*b^2/(sqrt((b*x + a)*b - a*b)*a^2*abs(b)) + 4*(B^2*a^2*b^3 - 2*A*B*a*b^4 + A^2*b^5)/((B*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(3/2) + B*a^2*b^(5/2) - A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(5/2) - A*a*b^(7/2))*a*abs(b))","B",0
532,1,215,0,1.229547," ","integrate((B*x+A)/x^(5/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(3 \, B a^{3} b^{3} {\left| b \right|} - 5 \, A a^{2} b^{4} {\left| b \right|}\right)} {\left(b x + a\right)}}{a^{5} b^{2}} - \frac{3 \, {\left(B a^{4} b^{3} {\left| b \right|} - 2 \, A a^{3} b^{4} {\left| b \right|}\right)}}{a^{5} b^{2}}\right)}}{3 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{3}{2}}} - \frac{4 \, {\left(B^{2} a^{2} b^{5} - 2 \, A B a b^{6} + A^{2} b^{7}\right)}}{{\left(B a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{5}{2}} + B a^{2} b^{\frac{7}{2}} - A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{7}{2}} - A a b^{\frac{9}{2}}\right)} a^{2} {\left| b \right|}}"," ",0,"-2/3*sqrt(b*x + a)*((3*B*a^3*b^3*abs(b) - 5*A*a^2*b^4*abs(b))*(b*x + a)/(a^5*b^2) - 3*(B*a^4*b^3*abs(b) - 2*A*a^3*b^4*abs(b))/(a^5*b^2))/((b*x + a)*b - a*b)^(3/2) - 4*(B^2*a^2*b^5 - 2*A*B*a*b^6 + A^2*b^7)/((B*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(5/2) + B*a^2*b^(7/2) - A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(7/2) - A*a*b^(9/2))*a^2*abs(b))","B",0
533,1,254,0,1.492602," ","integrate((B*x+A)/x^(7/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left({\left(b x + a\right)} {\left(\frac{{\left(25 \, B a^{6} b^{7} - 33 \, A a^{5} b^{8}\right)} {\left(b x + a\right)}}{a^{9} b^{2} {\left| b \right|}} - \frac{5 \, {\left(11 \, B a^{7} b^{7} - 15 \, A a^{6} b^{8}\right)}}{a^{9} b^{2} {\left| b \right|}}\right)} + \frac{15 \, {\left(2 \, B a^{8} b^{7} - 3 \, A a^{7} b^{8}\right)}}{a^{9} b^{2} {\left| b \right|}}\right)}}{15 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{5}{2}}} + \frac{4 \, {\left(B^{2} a^{2} b^{7} - 2 \, A B a b^{8} + A^{2} b^{9}\right)}}{{\left(B a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{7}{2}} + B a^{2} b^{\frac{9}{2}} - A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{9}{2}} - A a b^{\frac{11}{2}}\right)} a^{3} {\left| b \right|}}"," ",0,"2/15*sqrt(b*x + a)*((b*x + a)*((25*B*a^6*b^7 - 33*A*a^5*b^8)*(b*x + a)/(a^9*b^2*abs(b)) - 5*(11*B*a^7*b^7 - 15*A*a^6*b^8)/(a^9*b^2*abs(b))) + 15*(2*B*a^8*b^7 - 3*A*a^7*b^8)/(a^9*b^2*abs(b)))/((b*x + a)*b - a*b)^(5/2) + 4*(B^2*a^2*b^7 - 2*A*B*a*b^8 + A^2*b^9)/((B*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(7/2) + B*a^2*b^(9/2) - A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(9/2) - A*a*b^(11/2))*a^3*abs(b))","B",0
534,1,292,0,1.592319," ","integrate((B*x+A)/x^(9/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(b x + a\right)} {\left({\left(b x + a\right)} {\left(\frac{{\left(77 \, B a^{10} b^{9} {\left| b \right|} - 93 \, A a^{9} b^{10} {\left| b \right|}\right)} {\left(b x + a\right)}}{a^{14} b^{4}} - \frac{28 \, {\left(9 \, B a^{11} b^{9} {\left| b \right|} - 11 \, A a^{10} b^{10} {\left| b \right|}\right)}}{a^{14} b^{4}}\right)} + \frac{70 \, {\left(4 \, B a^{12} b^{9} {\left| b \right|} - 5 \, A a^{11} b^{10} {\left| b \right|}\right)}}{a^{14} b^{4}}\right)} - \frac{35 \, {\left(3 \, B a^{13} b^{9} {\left| b \right|} - 4 \, A a^{12} b^{10} {\left| b \right|}\right)}}{a^{14} b^{4}}\right)} \sqrt{b x + a}}{35 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{7}{2}}} - \frac{4 \, {\left(B^{2} a^{2} b^{9} - 2 \, A B a b^{10} + A^{2} b^{11}\right)}}{{\left(B a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{9}{2}} + B a^{2} b^{\frac{11}{2}} - A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{11}{2}} - A a b^{\frac{13}{2}}\right)} a^{4} {\left| b \right|}}"," ",0,"-2/35*((b*x + a)*((b*x + a)*((77*B*a^10*b^9*abs(b) - 93*A*a^9*b^10*abs(b))*(b*x + a)/(a^14*b^4) - 28*(9*B*a^11*b^9*abs(b) - 11*A*a^10*b^10*abs(b))/(a^14*b^4)) + 70*(4*B*a^12*b^9*abs(b) - 5*A*a^11*b^10*abs(b))/(a^14*b^4)) - 35*(3*B*a^13*b^9*abs(b) - 4*A*a^12*b^10*abs(b))/(a^14*b^4))*sqrt(b*x + a)/((b*x + a)*b - a*b)^(7/2) - 4*(B^2*a^2*b^9 - 2*A*B*a*b^10 + A^2*b^11)/((B*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(9/2) + B*a^2*b^(11/2) - A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(11/2) - A*a*b^(13/2))*a^4*abs(b))","B",0
535,1,330,0,1.513090," ","integrate((B*x+A)/x^(11/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left({\left(b x + a\right)} {\left({\left(b x + a\right)} {\left(\frac{{\left(837 \, B a^{15} b^{13} - 965 \, A a^{14} b^{14}\right)} {\left(b x + a\right)}}{a^{20} b^{4} {\left| b \right|}} - \frac{9 \, {\left(401 \, B a^{16} b^{13} - 465 \, A a^{15} b^{14}\right)}}{a^{20} b^{4} {\left| b \right|}}\right)} + \frac{126 \, {\left(47 \, B a^{17} b^{13} - 55 \, A a^{16} b^{14}\right)}}{a^{20} b^{4} {\left| b \right|}}\right)} - \frac{210 \, {\left(21 \, B a^{18} b^{13} - 25 \, A a^{17} b^{14}\right)}}{a^{20} b^{4} {\left| b \right|}}\right)} {\left(b x + a\right)} + \frac{315 \, {\left(4 \, B a^{19} b^{13} - 5 \, A a^{18} b^{14}\right)}}{a^{20} b^{4} {\left| b \right|}}\right)} \sqrt{b x + a}}{315 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{9}{2}}} + \frac{4 \, {\left(B^{2} a^{2} b^{11} - 2 \, A B a b^{12} + A^{2} b^{13}\right)}}{{\left(B a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{11}{2}} + B a^{2} b^{\frac{13}{2}} - A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{13}{2}} - A a b^{\frac{15}{2}}\right)} a^{5} {\left| b \right|}}"," ",0,"2/315*(((b*x + a)*((b*x + a)*((837*B*a^15*b^13 - 965*A*a^14*b^14)*(b*x + a)/(a^20*b^4*abs(b)) - 9*(401*B*a^16*b^13 - 465*A*a^15*b^14)/(a^20*b^4*abs(b))) + 126*(47*B*a^17*b^13 - 55*A*a^16*b^14)/(a^20*b^4*abs(b))) - 210*(21*B*a^18*b^13 - 25*A*a^17*b^14)/(a^20*b^4*abs(b)))*(b*x + a) + 315*(4*B*a^19*b^13 - 5*A*a^18*b^14)/(a^20*b^4*abs(b)))*sqrt(b*x + a)/((b*x + a)*b - a*b)^(9/2) + 4*(B^2*a^2*b^11 - 2*A*B*a*b^12 + A^2*b^13)/((B*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(11/2) + B*a^2*b^(13/2) - A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(13/2) - A*a*b^(15/2))*a^5*abs(b))","B",0
536,1,368,0,1.824213," ","integrate((B*x+A)/x^(13/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left({\left({\left(b x + a\right)} {\left({\left(b x + a\right)} {\left(\frac{{\left(2123 \, B a^{21} b^{15} {\left| b \right|} - 2379 \, A a^{20} b^{16} {\left| b \right|}\right)} {\left(b x + a\right)}}{a^{27} b^{6}} - \frac{22 \, {\left(515 \, B a^{22} b^{15} {\left| b \right|} - 579 \, A a^{21} b^{16} {\left| b \right|}\right)}}{a^{27} b^{6}}\right)} + \frac{99 \, {\left(247 \, B a^{23} b^{15} {\left| b \right|} - 279 \, A a^{22} b^{16} {\left| b \right|}\right)}}{a^{27} b^{6}}\right)} - \frac{924 \, {\left(29 \, B a^{24} b^{15} {\left| b \right|} - 33 \, A a^{23} b^{16} {\left| b \right|}\right)}}{a^{27} b^{6}}\right)} {\left(b x + a\right)} + \frac{1155 \, {\left(13 \, B a^{25} b^{15} {\left| b \right|} - 15 \, A a^{24} b^{16} {\left| b \right|}\right)}}{a^{27} b^{6}}\right)} {\left(b x + a\right)} - \frac{693 \, {\left(5 \, B a^{26} b^{15} {\left| b \right|} - 6 \, A a^{25} b^{16} {\left| b \right|}\right)}}{a^{27} b^{6}}\right)} \sqrt{b x + a}}{693 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{11}{2}}} - \frac{4 \, {\left(B^{2} a^{2} b^{13} - 2 \, A B a b^{14} + A^{2} b^{15}\right)}}{{\left(B a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{13}{2}} + B a^{2} b^{\frac{15}{2}} - A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{15}{2}} - A a b^{\frac{17}{2}}\right)} a^{6} {\left| b \right|}}"," ",0,"-2/693*((((b*x + a)*((b*x + a)*((2123*B*a^21*b^15*abs(b) - 2379*A*a^20*b^16*abs(b))*(b*x + a)/(a^27*b^6) - 22*(515*B*a^22*b^15*abs(b) - 579*A*a^21*b^16*abs(b))/(a^27*b^6)) + 99*(247*B*a^23*b^15*abs(b) - 279*A*a^22*b^16*abs(b))/(a^27*b^6)) - 924*(29*B*a^24*b^15*abs(b) - 33*A*a^23*b^16*abs(b))/(a^27*b^6))*(b*x + a) + 1155*(13*B*a^25*b^15*abs(b) - 15*A*a^24*b^16*abs(b))/(a^27*b^6))*(b*x + a) - 693*(5*B*a^26*b^15*abs(b) - 6*A*a^25*b^16*abs(b))/(a^27*b^6))*sqrt(b*x + a)/((b*x + a)*b - a*b)^(11/2) - 4*(B^2*a^2*b^13 - 2*A*B*a*b^14 + A^2*b^15)/((B*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(13/2) + B*a^2*b^(15/2) - A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(15/2) - A*a*b^(17/2))*a^6*abs(b))","B",0
537,1,382,0,98.119402," ","integrate(x^(7/2)*(B*x+A)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{1}{24} \, \sqrt{{\left(b x + a\right)} b - a b} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)} B {\left| b \right|}}{b^{7}} - \frac{25 \, B a b^{20} {\left| b \right|} - 6 \, A b^{21} {\left| b \right|}}{b^{27}}\right)} + \frac{3 \, {\left(55 \, B a^{2} b^{20} {\left| b \right|} - 26 \, A a b^{21} {\left| b \right|}\right)}}{b^{27}}\right)} + \frac{35 \, {\left(3 \, B a^{3} \sqrt{b} {\left| b \right|} - 2 \, A a^{2} b^{\frac{3}{2}} {\left| b \right|}\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{16 \, b^{7}} + \frac{4 \, {\left(15 \, B a^{4} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} \sqrt{b} {\left| b \right|} + 24 \, B a^{5} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{3}{2}} {\left| b \right|} - 12 \, A a^{3} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{3}{2}} {\left| b \right|} + 13 \, B a^{6} b^{\frac{5}{2}} {\left| b \right|} - 18 \, A a^{4} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{5}{2}} {\left| b \right|} - 10 \, A a^{5} b^{\frac{7}{2}} {\left| b \right|}\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^{6}}"," ",0,"1/24*sqrt((b*x + a)*b - a*b)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)*B*abs(b)/b^7 - (25*B*a*b^20*abs(b) - 6*A*b^21*abs(b))/b^27) + 3*(55*B*a^2*b^20*abs(b) - 26*A*a*b^21*abs(b))/b^27) + 35/16*(3*B*a^3*sqrt(b)*abs(b) - 2*A*a^2*b^(3/2)*abs(b))*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/b^7 + 4/3*(15*B*a^4*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*sqrt(b)*abs(b) + 24*B*a^5*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(3/2)*abs(b) - 12*A*a^3*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(3/2)*abs(b) + 13*B*a^6*b^(5/2)*abs(b) - 18*A*a^4*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(5/2)*abs(b) - 10*A*a^5*b^(7/2)*abs(b))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*b^6)","B",0
538,1,346,0,107.311247," ","integrate(x^(5/2)*(B*x+A)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{{\left(b x + a\right)} b - a b} \sqrt{b x + a} {\left(\frac{2 \, {\left(b x + a\right)} B {\left| b \right|}}{b^{6}} - \frac{13 \, B a b^{11} {\left| b \right|} - 4 \, A b^{12} {\left| b \right|}}{b^{17}}\right)} - \frac{5 \, {\left(7 \, B a^{2} \sqrt{b} {\left| b \right|} - 4 \, A a b^{\frac{3}{2}} {\left| b \right|}\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{8 \, b^{6}} - \frac{4 \, {\left(12 \, B a^{3} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} \sqrt{b} {\left| b \right|} + 18 \, B a^{4} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{3}{2}} {\left| b \right|} - 9 \, A a^{2} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{3}{2}} {\left| b \right|} + 10 \, B a^{5} b^{\frac{5}{2}} {\left| b \right|} - 12 \, A a^{3} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{5}{2}} {\left| b \right|} - 7 \, A a^{4} b^{\frac{7}{2}} {\left| b \right|}\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^{5}}"," ",0,"1/4*sqrt((b*x + a)*b - a*b)*sqrt(b*x + a)*(2*(b*x + a)*B*abs(b)/b^6 - (13*B*a*b^11*abs(b) - 4*A*b^12*abs(b))/b^17) - 5/8*(7*B*a^2*sqrt(b)*abs(b) - 4*A*a*b^(3/2)*abs(b))*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/b^6 - 4/3*(12*B*a^3*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*sqrt(b)*abs(b) + 18*B*a^4*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(3/2)*abs(b) - 9*A*a^2*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(3/2)*abs(b) + 10*B*a^5*b^(5/2)*abs(b) - 12*A*a^3*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(5/2)*abs(b) - 7*A*a^4*b^(7/2)*abs(b))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*b^5)","B",0
539,1,309,0,108.513228," ","integrate(x^(3/2)*(B*x+A)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{\sqrt{{\left(b x + a\right)} b - a b} \sqrt{b x + a} B {\left| b \right|}}{b^{5}} + \frac{{\left(5 \, B a \sqrt{b} {\left| b \right|} - 2 \, A b^{\frac{3}{2}} {\left| b \right|}\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{2 \, b^{5}} + \frac{4 \, {\left(9 \, B a^{2} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} \sqrt{b} {\left| b \right|} + 12 \, B a^{3} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{3}{2}} {\left| b \right|} - 6 \, A a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{3}{2}} {\left| b \right|} + 7 \, B a^{4} b^{\frac{5}{2}} {\left| b \right|} - 6 \, A a^{2} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{5}{2}} {\left| b \right|} - 4 \, A a^{3} b^{\frac{7}{2}} {\left| b \right|}\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^{4}}"," ",0,"sqrt((b*x + a)*b - a*b)*sqrt(b*x + a)*B*abs(b)/b^5 + 1/2*(5*B*a*sqrt(b)*abs(b) - 2*A*b^(3/2)*abs(b))*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/b^5 + 4/3*(9*B*a^2*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*sqrt(b)*abs(b) + 12*B*a^3*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(3/2)*abs(b) - 6*A*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(3/2)*abs(b) + 7*B*a^4*b^(5/2)*abs(b) - 6*A*a^2*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(5/2)*abs(b) - 4*A*a^3*b^(7/2)*abs(b))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*b^4)","B",0
540,1,222,0,108.636690," ","integrate((B*x+A)*x^(1/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{B {\left| b \right|} \log\left({\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2}\right)}{b^{\frac{7}{2}}} - \frac{4 \, {\left(6 \, B a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} \sqrt{b} {\left| b \right|} + 6 \, B a^{2} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{3}{2}} {\left| b \right|} - 3 \, A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{3}{2}} {\left| b \right|} + 4 \, B a^{3} b^{\frac{5}{2}} {\left| b \right|} - A a^{2} b^{\frac{7}{2}} {\left| b \right|}\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^{3}}"," ",0,"-B*abs(b)*log((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2)/b^(7/2) - 4/3*(6*B*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*sqrt(b)*abs(b) + 6*B*a^2*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(3/2)*abs(b) - 3*A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(3/2)*abs(b) + 4*B*a^3*b^(5/2)*abs(b) - A*a^2*b^(7/2)*abs(b))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*b^3)","B",0
541,1,130,0,1.630747," ","integrate((B*x+A)/(b*x+a)^(5/2)/x^(1/2),x, algorithm=""giac"")","\frac{4 \, {\left(3 \, B {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} \sqrt{b} + B a^{2} b^{\frac{5}{2}} + 6 \, A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{5}{2}} + 2 \, A a b^{\frac{7}{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} {\left| b \right|}}"," ",0,"4/3*(3*B*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*sqrt(b) + B*a^2*b^(5/2) + 6*A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(5/2) + 2*A*a*b^(7/2))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*abs(b))","B",0
542,1,211,0,1.791939," ","integrate((B*x+A)/x^(3/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} A b^{2}}{\sqrt{{\left(b x + a\right)} b - a b} a^{3} {\left| b \right|}} + \frac{4 \, {\left(6 \, B a^{2} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{5}{2}} - 3 \, A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{5}{2}} + 2 \, B a^{3} b^{\frac{7}{2}} - 12 \, A 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 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)*A*b^2/(sqrt((b*x + a)*b - a*b)*a^3*abs(b)) + 4/3*(6*B*a^2*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(5/2) - 3*A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(5/2) + 2*B*a^3*b^(7/2) - 12*A*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(7/2) - 5*A*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
543,1,303,0,2.180929," ","integrate((B*x+A)/x^(5/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(3 \, B a^{4} b^{3} {\left| b \right|} - 8 \, A a^{3} b^{4} {\left| b \right|}\right)} {\left(b x + a\right)}}{a^{7} b^{2}} - \frac{3 \, {\left(B a^{5} b^{3} {\left| b \right|} - 3 \, A a^{4} b^{4} {\left| b \right|}\right)}}{a^{7} b^{2}}\right)}}{3 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{3}{2}}} - \frac{4 \, {\left(3 \, B a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{5}{2}} + 12 \, B a^{2} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{7}{2}} - 6 \, A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{7}{2}} + 5 \, B a^{3} b^{\frac{9}{2}} - 18 \, A a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{9}{2}} - 8 \, A 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)*((3*B*a^4*b^3*abs(b) - 8*A*a^3*b^4*abs(b))*(b*x + a)/(a^7*b^2) - 3*(B*a^5*b^3*abs(b) - 3*A*a^4*b^4*abs(b))/(a^7*b^2))/((b*x + a)*b - a*b)^(3/2) - 4/3*(3*B*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(5/2) + 12*B*a^2*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(7/2) - 6*A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(7/2) + 5*B*a^3*b^(9/2) - 18*A*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(9/2) - 8*A*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
544,1,341,0,2.194419," ","integrate((B*x+A)/x^(7/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left({\left(b x + a\right)} {\left(\frac{{\left(40 \, B a^{8} b^{7} - 73 \, A a^{7} b^{8}\right)} {\left(b x + a\right)}}{a^{12} b^{2} {\left| b \right|}} - \frac{5 \, {\left(17 \, B a^{9} b^{7} - 32 \, A a^{8} b^{8}\right)}}{a^{12} b^{2} {\left| b \right|}}\right)} + \frac{45 \, {\left(B a^{10} b^{7} - 2 \, A a^{9} b^{8}\right)}}{a^{12} b^{2} {\left| b \right|}}\right)}}{15 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{5}{2}}} + \frac{4 \, {\left(6 \, B a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{7}{2}} + 18 \, B a^{2} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{9}{2}} - 9 \, A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{9}{2}} + 8 \, B a^{3} b^{\frac{11}{2}} - 24 \, A a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{11}{2}} - 11 \, A a^{2} b^{\frac{13}{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^{4} {\left| b \right|}}"," ",0,"2/15*sqrt(b*x + a)*((b*x + a)*((40*B*a^8*b^7 - 73*A*a^7*b^8)*(b*x + a)/(a^12*b^2*abs(b)) - 5*(17*B*a^9*b^7 - 32*A*a^8*b^8)/(a^12*b^2*abs(b))) + 45*(B*a^10*b^7 - 2*A*a^9*b^8)/(a^12*b^2*abs(b)))/((b*x + a)*b - a*b)^(5/2) + 4/3*(6*B*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(7/2) + 18*B*a^2*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(9/2) - 9*A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(9/2) + 8*B*a^3*b^(11/2) - 24*A*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(11/2) - 11*A*a^2*b^(13/2))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*a^4*abs(b))","B",0
545,1,380,0,2.626383," ","integrate((B*x+A)/x^(9/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(b x + a\right)} {\left({\left(b x + a\right)} {\left(\frac{{\left(511 \, B a^{13} b^{9} {\left| b \right|} - 790 \, A a^{12} b^{10} {\left| b \right|}\right)} {\left(b x + a\right)}}{a^{18} b^{4}} - \frac{7 \, {\left(233 \, B a^{14} b^{9} {\left| b \right|} - 365 \, A a^{13} b^{10} {\left| b \right|}\right)}}{a^{18} b^{4}}\right)} + \frac{350 \, {\left(5 \, B a^{15} b^{9} {\left| b \right|} - 8 \, A a^{14} b^{10} {\left| b \right|}\right)}}{a^{18} b^{4}}\right)} - \frac{210 \, {\left(3 \, B a^{16} b^{9} {\left| b \right|} - 5 \, A a^{15} b^{10} {\left| b \right|}\right)}}{a^{18} b^{4}}\right)} \sqrt{b x + a}}{105 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{7}{2}}} - \frac{4 \, {\left(9 \, B a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{9}{2}} + 24 \, B a^{2} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{11}{2}} - 12 \, A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{11}{2}} + 11 \, B a^{3} b^{\frac{13}{2}} - 30 \, A a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{13}{2}} - 14 \, A a^{2} b^{\frac{15}{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^{5} {\left| b \right|}}"," ",0,"-2/105*((b*x + a)*((b*x + a)*((511*B*a^13*b^9*abs(b) - 790*A*a^12*b^10*abs(b))*(b*x + a)/(a^18*b^4) - 7*(233*B*a^14*b^9*abs(b) - 365*A*a^13*b^10*abs(b))/(a^18*b^4)) + 350*(5*B*a^15*b^9*abs(b) - 8*A*a^14*b^10*abs(b))/(a^18*b^4)) - 210*(3*B*a^16*b^9*abs(b) - 5*A*a^15*b^10*abs(b))/(a^18*b^4))*sqrt(b*x + a)/((b*x + a)*b - a*b)^(7/2) - 4/3*(9*B*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(9/2) + 24*B*a^2*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(11/2) - 12*A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(11/2) + 11*B*a^3*b^(13/2) - 30*A*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(13/2) - 14*A*a^2*b^(15/2))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*a^5*abs(b))","B",0
546,1,418,0,2.795607," ","integrate((B*x+A)/x^(11/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left({\left(b x + a\right)} {\left({\left(b x + a\right)} {\left(\frac{{\left(474 \, B a^{19} b^{13} - 667 \, A a^{18} b^{14}\right)} {\left(b x + a\right)}}{a^{25} b^{4} {\left| b \right|}} - \frac{9 \, {\left(223 \, B a^{20} b^{13} - 316 \, A a^{19} b^{14}\right)}}{a^{25} b^{4} {\left| b \right|}}\right)} + \frac{63 \, {\left(51 \, B a^{21} b^{13} - 73 \, A a^{20} b^{14}\right)}}{a^{25} b^{4} {\left| b \right|}}\right)} - \frac{210 \, {\left(11 \, B a^{22} b^{13} - 16 \, A a^{21} b^{14}\right)}}{a^{25} b^{4} {\left| b \right|}}\right)} {\left(b x + a\right)} + \frac{315 \, {\left(2 \, B a^{23} b^{13} - 3 \, A a^{22} b^{14}\right)}}{a^{25} b^{4} {\left| b \right|}}\right)} \sqrt{b x + a}}{63 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{9}{2}}} + \frac{4 \, {\left(12 \, B a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{11}{2}} + 30 \, B a^{2} {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{13}{2}} - 15 \, A {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{4} b^{\frac{13}{2}} + 14 \, B a^{3} b^{\frac{15}{2}} - 36 \, A a {\left(\sqrt{b x + a} \sqrt{b} - \sqrt{{\left(b x + a\right)} b - a b}\right)}^{2} b^{\frac{15}{2}} - 17 \, A a^{2} b^{\frac{17}{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^{6} {\left| b \right|}}"," ",0,"2/63*(((b*x + a)*((b*x + a)*((474*B*a^19*b^13 - 667*A*a^18*b^14)*(b*x + a)/(a^25*b^4*abs(b)) - 9*(223*B*a^20*b^13 - 316*A*a^19*b^14)/(a^25*b^4*abs(b))) + 63*(51*B*a^21*b^13 - 73*A*a^20*b^14)/(a^25*b^4*abs(b))) - 210*(11*B*a^22*b^13 - 16*A*a^21*b^14)/(a^25*b^4*abs(b)))*(b*x + a) + 315*(2*B*a^23*b^13 - 3*A*a^22*b^14)/(a^25*b^4*abs(b)))*sqrt(b*x + a)/((b*x + a)*b - a*b)^(9/2) + 4/3*(12*B*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(11/2) + 30*B*a^2*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(13/2) - 15*A*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^4*b^(13/2) + 14*B*a^3*b^(15/2) - 36*A*a*(sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2*b^(15/2) - 17*A*a^2*b^(17/2))/(((sqrt(b*x + a)*sqrt(b) - sqrt((b*x + a)*b - a*b))^2 + a*b)^3*a^6*abs(b))","B",0
547,1,671,0,1.893584," ","integrate(x^3*(b*x+a)^(1/2)*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{\frac{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)} a {\left| b \right|}}{b^{2}} + \frac{{\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)} {\left| b \right|}}{b}}{1920 \, b}"," ",0,"1/1920*(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))*a*abs(b)/b^2 + (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))*abs(b)/b)/b","B",0
548,1,500,0,1.833080," ","integrate(x^2*(b*x+a)^(1/2)*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{\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 {\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)} {\left| b \right|}}{b}}{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))*a*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))*abs(b)/b)/b","B",0
549,1,345,0,1.609150," ","integrate(x*(b*x+a)^(1/2)*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{\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|}}{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)} a {\left| b \right|}}{b^{3}}}{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)/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))*a*abs(b)/b^3)/b","B",0
550,1,232,0,1.489579," ","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
551,-2,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2)/x,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
552,1,463,0,2.112520," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2)/x^2,x, algorithm=""giac"")","-\frac{\sqrt{b 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) + \frac{{\left(\sqrt{b d} b^{2} c {\left| b \right|} + \sqrt{b d} a b d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} + \frac{2 \, {\left(\sqrt{b d} b^{4} c^{2} {\left| b \right|} - 2 \, \sqrt{b d} a b^{3} c d {\left| b \right|} + \sqrt{b d} a^{2} b^{2} d^{2} {\left| b \right|} - \sqrt{b 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^{2} c {\left| b \right|} - \sqrt{b 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 d {\left| b \right|}\right)}}{b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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}"," ",0,"-(sqrt(b*d)*abs(b)*log((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*c*abs(b) + sqrt(b*d)*a*b*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) + 2*(sqrt(b*d)*b^4*c^2*abs(b) - 2*sqrt(b*d)*a*b^3*c*d*abs(b) + sqrt(b*d)*a^2*b^2*d^2*abs(b) - sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c*abs(b) - 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*d*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4))/b","B",0
553,1,1081,0,4.135683," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2)/x^3,x, algorithm=""giac"")","\frac{\frac{{\left(\sqrt{b d} b^{3} c^{2} {\left| b \right|} - 2 \, \sqrt{b d} a b^{2} c d {\left| b \right|} + \sqrt{b d} a^{2} b d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b c} - \frac{2 \, {\left(\sqrt{b d} b^{9} c^{5} {\left| b \right|} - 3 \, \sqrt{b d} a b^{8} c^{4} d {\left| b \right|} + 2 \, \sqrt{b d} a^{2} b^{7} c^{3} d^{2} {\left| b \right|} + 2 \, \sqrt{b d} a^{3} b^{6} c^{2} d^{3} {\left| b \right|} - 3 \, \sqrt{b d} a^{4} b^{5} c d^{4} {\left| b \right|} + \sqrt{b d} a^{5} b^{4} d^{5} {\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^{7} c^{4} {\left| b \right|} + 4 \, \sqrt{b 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 {\left| b \right|} - 2 \, \sqrt{b 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^{2} {\left| b \right|} + 4 \, \sqrt{b 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^{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)}^{2} a^{4} b^{3} 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)}^{4} b^{5} c^{3} {\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)}^{4} a b^{4} c^{2} d {\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)}^{4} a^{2} b^{3} 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)}^{4} a^{3} b^{2} d^{3} {\left| b \right|} - \sqrt{b 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} {\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)}^{6} a b^{2} c d {\left| b \right|} - \sqrt{b 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^{2} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a c}}{4 \, b}"," ",0,"1/4*((sqrt(b*d)*b^3*c^2*abs(b) - 2*sqrt(b*d)*a*b^2*c*d*abs(b) + sqrt(b*d)*a^2*b*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c) - 2*(sqrt(b*d)*b^9*c^5*abs(b) - 3*sqrt(b*d)*a*b^8*c^4*d*abs(b) + 2*sqrt(b*d)*a^2*b^7*c^3*d^2*abs(b) + 2*sqrt(b*d)*a^3*b^6*c^2*d^3*abs(b) - 3*sqrt(b*d)*a^4*b^5*c*d^4*abs(b) + sqrt(b*d)*a^5*b^4*d^5*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^7*c^4*abs(b) + 4*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*abs(b) - 2*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^2*abs(b) + 4*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^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))^2*a^4*b^3*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))^4*b^5*c^3*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))^4*a*b^4*c^2*d*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))^4*a^2*b^3*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))^4*a^3*b^2*d^3*abs(b) - 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*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))^6*a*b^2*c*d*abs(b) - 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^2*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a*c))/b","B",0
554,1,2104,0,39.911817," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2)/x^4,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(\sqrt{b d} b^{4} c^{3} {\left| b \right|} - \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} - \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} + \sqrt{b d} a^{3} b d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b c^{2}} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{14} c^{8} {\left| b \right|} - 20 \, \sqrt{b d} a b^{13} c^{7} d {\left| b \right|} + 60 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} {\left| b \right|} - 108 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} {\left| b \right|} + 130 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} {\left| b \right|} - 108 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} {\left| b \right|} + 60 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} {\left| b \right|} - 20 \, \sqrt{b d} a^{7} b^{7} c d^{7} {\left| b \right|} + 3 \, \sqrt{b d} a^{8} b^{6} d^{8} {\left| b \right|} - 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)}^{2} b^{12} c^{7} {\left| b \right|} + 51 \, \sqrt{b 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^{6} d {\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)}^{2} a^{2} b^{10} c^{5} d^{2} {\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)}^{2} a^{3} b^{9} c^{4} d^{3} {\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)}^{2} a^{4} b^{8} c^{3} d^{4} {\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)}^{2} a^{5} b^{7} c^{2} d^{5} {\left| b \right|} + 51 \, \sqrt{b 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} c d^{6} {\left| b \right|} - 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)}^{2} a^{7} b^{5} d^{7} {\left| b \right|} + 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)}^{4} b^{10} c^{6} {\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 b^{9} c^{5} d {\left| b \right|} - 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)}^{4} a^{2} b^{8} c^{4} d^{2} {\left| b \right|} + 72 \, \sqrt{b 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^{3} d^{3} {\left| b \right|} - 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)}^{4} a^{4} b^{6} c^{2} d^{4} {\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^{5} b^{5} c d^{5} {\left| b \right|} + 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)}^{4} a^{6} b^{4} d^{6} {\left| b \right|} - 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^{8} c^{5} {\left| b \right|} + 2 \, \sqrt{b 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^{4} 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)}^{6} a^{2} b^{6} c^{3} 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)}^{6} a^{3} b^{5} c^{2} d^{3} {\left| b \right|} + 2 \, \sqrt{b 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} c d^{4} {\left| b \right|} - 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^{5} b^{3} d^{5} {\left| b \right|} + 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)}^{8} b^{6} c^{4} {\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)}^{8} a^{2} b^{4} c^{2} d^{2} {\left| b \right|} + 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)}^{8} a^{4} 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)}^{10} b^{4} c^{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)}^{10} a b^{3} c^{2} 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)}^{10} a^{2} 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)}^{10} a^{3} b d^{3} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a^{2} c^{2}}}{24 \, b}"," ",0,"-1/24*(3*(sqrt(b*d)*b^4*c^3*abs(b) - sqrt(b*d)*a*b^3*c^2*d*abs(b) - sqrt(b*d)*a^2*b^2*c*d^2*abs(b) + sqrt(b*d)*a^3*b*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c^2) - 2*(3*sqrt(b*d)*b^14*c^8*abs(b) - 20*sqrt(b*d)*a*b^13*c^7*d*abs(b) + 60*sqrt(b*d)*a^2*b^12*c^6*d^2*abs(b) - 108*sqrt(b*d)*a^3*b^11*c^5*d^3*abs(b) + 130*sqrt(b*d)*a^4*b^10*c^4*d^4*abs(b) - 108*sqrt(b*d)*a^5*b^9*c^3*d^5*abs(b) + 60*sqrt(b*d)*a^6*b^8*c^2*d^6*abs(b) - 20*sqrt(b*d)*a^7*b^7*c*d^7*abs(b) + 3*sqrt(b*d)*a^8*b^6*d^8*abs(b) - 15*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^7*abs(b) + 51*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^6*d*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))^2*a^2*b^10*c^5*d^2*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))^2*a^3*b^9*c^4*d^3*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))^2*a^4*b^8*c^3*d^4*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))^2*a^5*b^7*c^2*d^5*abs(b) + 51*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*c*d^6*abs(b) - 15*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^5*d^7*abs(b) + 30*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^6*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*b^9*c^5*d*abs(b) - 30*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^4*d^2*abs(b) + 72*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^3*d^3*abs(b) - 30*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^2*d^4*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^5*b^5*c*d^5*abs(b) + 30*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^4*d^6*abs(b) - 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^8*c^5*abs(b) + 2*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^4*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))^6*a^2*b^6*c^3*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))^6*a^3*b^5*c^2*d^3*abs(b) + 2*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*c*d^4*abs(b) - 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^5*b^3*d^5*abs(b) + 15*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^4*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))^8*a^2*b^4*c^2*d^2*abs(b) + 15*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^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))^10*b^4*c^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))^10*a*b^3*c^2*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))^10*a^2*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))^10*a^3*b*d^3*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a^2*c^2))/b","B",0
555,1,3834,0,14.021632," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2)/x^5,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(5 \, \sqrt{b d} b^{5} c^{4} {\left| b \right|} - 4 \, \sqrt{b d} a b^{4} c^{3} d {\left| b \right|} - 2 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} - 4 \, \sqrt{b d} a^{3} b^{2} c d^{3} {\left| b \right|} + 5 \, \sqrt{b d} a^{4} b d^{4} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{3} b c^{3}} - \frac{2 \, {\left(15 \, \sqrt{b d} b^{19} c^{11} {\left| b \right|} - 127 \, \sqrt{b d} a b^{18} c^{10} d {\left| b \right|} + 469 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} {\left| b \right|} - 965 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} {\left| b \right|} + 1126 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} {\left| b \right|} - 518 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} {\left| b \right|} - 518 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} {\left| b \right|} + 1126 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} {\left| b \right|} - 965 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} {\left| b \right|} + 469 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} {\left| b \right|} - 127 \, \sqrt{b d} a^{10} b^{9} c d^{10} {\left| b \right|} + 15 \, \sqrt{b d} a^{11} b^{8} d^{11} {\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)}^{2} b^{17} c^{10} {\left| b \right|} + 554 \, \sqrt{b 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^{16} c^{9} d {\left| b \right|} - 1013 \, \sqrt{b 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^{15} c^{8} d^{2} {\left| b \right|} + 248 \, \sqrt{b 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^{14} c^{7} d^{3} {\left| b \right|} + 1886 \, \sqrt{b 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^{13} c^{6} d^{4} {\left| b \right|} - 3140 \, \sqrt{b 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^{12} c^{5} d^{5} {\left| b \right|} + 1886 \, \sqrt{b 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^{11} c^{4} d^{6} {\left| b \right|} + 248 \, \sqrt{b 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^{10} c^{3} d^{7} {\left| b \right|} - 1013 \, \sqrt{b 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^{9} c^{2} d^{8} {\left| b \right|} + 554 \, \sqrt{b 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^{9} b^{8} c d^{9} {\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)}^{2} a^{10} b^{7} d^{10} {\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)}^{4} b^{15} c^{9} {\left| b \right|} - 877 \, \sqrt{b 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^{14} c^{8} d {\left| b \right|} + 428 \, \sqrt{b 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^{13} c^{7} d^{2} {\left| b \right|} + 828 \, \sqrt{b 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^{12} c^{6} d^{3} {\left| b \right|} - 694 \, \sqrt{b 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^{11} c^{5} d^{4} {\left| b \right|} - 694 \, \sqrt{b 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^{10} c^{4} d^{5} {\left| b \right|} + 828 \, \sqrt{b 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^{9} c^{3} d^{6} {\left| b \right|} + 428 \, \sqrt{b 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^{8} c^{2} d^{7} {\left| b \right|} - 877 \, \sqrt{b 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^{8} b^{7} c d^{8} {\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)}^{4} a^{9} b^{6} d^{9} {\left| b \right|} - 525 \, \sqrt{b 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^{13} c^{8} {\left| b \right|} + 520 \, \sqrt{b 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^{12} c^{7} d {\left| b \right|} + 212 \, \sqrt{b 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^{11} c^{6} d^{2} {\left| b \right|} + 824 \, \sqrt{b 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^{10} c^{5} d^{3} {\left| b \right|} - 2062 \, \sqrt{b 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^{9} c^{4} d^{4} {\left| b \right|} + 824 \, \sqrt{b 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^{8} c^{3} d^{5} {\left| b \right|} + 212 \, \sqrt{b 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^{7} c^{2} d^{6} {\left| b \right|} + 520 \, \sqrt{b 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^{7} b^{6} c d^{7} {\left| b \right|} - 525 \, \sqrt{b 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^{8} b^{5} d^{8} {\left| b \right|} + 525 \, \sqrt{b 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^{11} c^{7} {\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)}^{8} a b^{10} c^{6} d {\left| b \right|} - 115 \, \sqrt{b 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^{9} c^{5} d^{2} {\left| b \right|} + 559 \, \sqrt{b 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^{8} c^{4} d^{3} {\left| b \right|} + 559 \, \sqrt{b 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^{7} c^{3} d^{4} {\left| b \right|} - 115 \, \sqrt{b 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^{6} c^{2} d^{5} {\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)}^{8} a^{6} b^{5} c d^{6} {\left| b \right|} + 525 \, \sqrt{b 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^{7} b^{4} 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^{9} c^{6} {\left| b \right|} - 158 \, \sqrt{b 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^{8} c^{5} d {\left| b \right|} + 139 \, \sqrt{b 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^{7} c^{4} d^{2} {\left| b \right|} - 1380 \, \sqrt{b 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^{6} c^{3} d^{3} {\left| b \right|} + 139 \, \sqrt{b 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^{5} c^{2} d^{4} {\left| b \right|} - 158 \, \sqrt{b 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^{5} b^{4} 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^{6} b^{3} 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^{7} c^{5} {\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)}^{12} a b^{6} c^{4} d {\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)}^{12} a^{2} b^{5} c^{3} d^{2} {\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)}^{12} a^{3} b^{4} c^{2} d^{3} {\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)}^{12} a^{4} b^{3} 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^{5} b^{2} d^{5} {\left| b \right|} - 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)}^{14} b^{5} c^{4} {\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)}^{14} a b^{4} c^{3} 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)}^{14} a^{2} b^{3} c^{2} d^{2} {\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)}^{14} a^{3} b^{2} c d^{3} {\left| b \right|} - 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)}^{14} a^{4} b d^{4} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a^{3} c^{3}}}{192 \, b}"," ",0,"1/192*(3*(5*sqrt(b*d)*b^5*c^4*abs(b) - 4*sqrt(b*d)*a*b^4*c^3*d*abs(b) - 2*sqrt(b*d)*a^2*b^3*c^2*d^2*abs(b) - 4*sqrt(b*d)*a^3*b^2*c*d^3*abs(b) + 5*sqrt(b*d)*a^4*b*d^4*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b*c^3) - 2*(15*sqrt(b*d)*b^19*c^11*abs(b) - 127*sqrt(b*d)*a*b^18*c^10*d*abs(b) + 469*sqrt(b*d)*a^2*b^17*c^9*d^2*abs(b) - 965*sqrt(b*d)*a^3*b^16*c^8*d^3*abs(b) + 1126*sqrt(b*d)*a^4*b^15*c^7*d^4*abs(b) - 518*sqrt(b*d)*a^5*b^14*c^6*d^5*abs(b) - 518*sqrt(b*d)*a^6*b^13*c^5*d^6*abs(b) + 1126*sqrt(b*d)*a^7*b^12*c^4*d^7*abs(b) - 965*sqrt(b*d)*a^8*b^11*c^3*d^8*abs(b) + 469*sqrt(b*d)*a^9*b^10*c^2*d^9*abs(b) - 127*sqrt(b*d)*a^10*b^9*c*d^10*abs(b) + 15*sqrt(b*d)*a^11*b^8*d^11*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))^2*b^17*c^10*abs(b) + 554*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^16*c^9*d*abs(b) - 1013*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^15*c^8*d^2*abs(b) + 248*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^14*c^7*d^3*abs(b) + 1886*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^13*c^6*d^4*abs(b) - 3140*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^12*c^5*d^5*abs(b) + 1886*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^11*c^4*d^6*abs(b) + 248*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^10*c^3*d^7*abs(b) - 1013*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^9*c^2*d^8*abs(b) + 554*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9*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))^2*a^10*b^7*d^10*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))^4*b^15*c^9*abs(b) - 877*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^14*c^8*d*abs(b) + 428*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^13*c^7*d^2*abs(b) + 828*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^12*c^6*d^3*abs(b) - 694*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^11*c^5*d^4*abs(b) - 694*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^10*c^4*d^5*abs(b) + 828*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^9*c^3*d^6*abs(b) + 428*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^8*c^2*d^7*abs(b) - 877*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*d^8*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))^4*a^9*b^6*d^9*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^13*c^8*abs(b) + 520*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^12*c^7*d*abs(b) + 212*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^11*c^6*d^2*abs(b) + 824*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^10*c^5*d^3*abs(b) - 2062*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^9*c^4*d^4*abs(b) + 824*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^8*c^3*d^5*abs(b) + 212*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^7*c^2*d^6*abs(b) + 520*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*d^7*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^5*d^8*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^11*c^7*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))^8*a*b^10*c^6*d*abs(b) - 115*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^9*c^5*d^2*abs(b) + 559*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^8*c^4*d^3*abs(b) + 559*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^7*c^3*d^4*abs(b) - 115*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^6*c^2*d^5*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))^8*a^6*b^5*c*d^6*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^4*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^9*c^6*abs(b) - 158*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^8*c^5*d*abs(b) + 139*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^7*c^4*d^2*abs(b) - 1380*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^6*c^3*d^3*abs(b) + 139*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^5*c^2*d^4*abs(b) - 158*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*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^6*b^3*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^7*c^5*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))^12*a*b^6*c^4*d*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))^12*a^2*b^5*c^3*d^2*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))^12*a^3*b^4*c^2*d^3*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))^12*a^4*b^3*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^5*b^2*d^5*abs(b) - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^5*c^4*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))^14*a*b^4*c^3*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))^14*a^2*b^3*c^2*d^2*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))^14*a^3*b^2*c*d^3*abs(b) - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b*d^4*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a^3*c^3))/b","B",0
556,-1,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2)/x^6,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
557,1,1170,0,2.955122," ","integrate(x^2*(d*x+c)^(3/2)*(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\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 c {\left| b \right|}}{b^{2}} + \frac{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)} c {\left| b \right|}}{b} + \frac{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)} a d {\left| b \right|}}{b^{2}} + \frac{{\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 {\left| b \right|}}{b}}{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))*a*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))*c*abs(b)/b + 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))*a*d*abs(b)/b^2 + (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*abs(b)/b)/b","B",0
558,1,844,0,2.696271," ","integrate(x*(d*x+c)^(3/2)*(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\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|}}{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 {\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 {\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)} a c {\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)/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*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)/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))*a*c*abs(b)/b^3)/b","B",0
559,1,576,0,1.870245," ","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
560,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)*(b*x+a)^(1/2)/x,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
561,1,529,0,2.904228," ","integrate((d*x+c)^(3/2)*(b*x+a)^(1/2)/x^2,x, algorithm=""giac"")","\frac{\frac{2 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} d {\left| b \right|}}{b} - \frac{{\left(3 \, \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)}{b} - \frac{2 \, {\left(\sqrt{b d} b^{2} c^{2} {\left| b \right|} + 3 \, \sqrt{b d} a b c d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{4 \, {\left(\sqrt{b d} b^{4} c^{3} {\left| b \right|} - 2 \, \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} + \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} - \sqrt{b 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^{2} c^{2} {\left| b \right|} - \sqrt{b 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 c d {\left| b \right|}\right)}}{b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4}}}{2 \, b}"," ",0,"1/2*(2*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*d*abs(b)/b - (3*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 - 2*(sqrt(b*d)*b^2*c^2*abs(b) + 3*sqrt(b*d)*a*b*c*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 4*(sqrt(b*d)*b^4*c^3*abs(b) - 2*sqrt(b*d)*a*b^3*c^2*d*abs(b) + sqrt(b*d)*a^2*b^2*c*d^2*abs(b) - sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c^2*abs(b) - 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*c*d*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4))/b","B",0
562,1,1127,0,14.701515," ","integrate((d*x+c)^(3/2)*(b*x+a)^(1/2)/x^3,x, algorithm=""giac"")","-\frac{4 \, \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) - \frac{{\left(\sqrt{b d} b^{3} c^{2} {\left| b \right|} - 6 \, \sqrt{b d} a b^{2} c d {\left| b \right|} - 3 \, \sqrt{b d} a^{2} b d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b} + \frac{2 \, {\left(\sqrt{b d} b^{9} c^{5} {\left| b \right|} + \sqrt{b d} a b^{8} c^{4} d {\left| b \right|} - 14 \, \sqrt{b d} a^{2} b^{7} c^{3} d^{2} {\left| b \right|} + 26 \, \sqrt{b d} a^{3} b^{6} c^{2} d^{3} {\left| b \right|} - 19 \, \sqrt{b d} a^{4} b^{5} c d^{4} {\left| b \right|} + 5 \, \sqrt{b d} a^{5} b^{4} d^{5} {\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^{7} c^{4} {\left| b \right|} - 8 \, \sqrt{b 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 {\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)}^{2} a^{2} b^{5} c^{2} d^{2} {\left| b \right|} + 16 \, \sqrt{b 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^{3} {\left| b \right|} - 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)}^{2} a^{4} b^{3} 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)}^{4} b^{5} c^{3} {\left| b \right|} + 17 \, \sqrt{b 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 {\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)}^{4} a^{2} b^{3} c d^{2} {\left| b \right|} + 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)}^{4} a^{3} b^{2} d^{3} {\left| b \right|} - \sqrt{b 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} {\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)}^{6} a b^{2} c d {\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)}^{6} a^{2} b d^{2} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a}}{4 \, b}"," ",0,"-1/4*(4*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) - (sqrt(b*d)*b^3*c^2*abs(b) - 6*sqrt(b*d)*a*b^2*c*d*abs(b) - 3*sqrt(b*d)*a^2*b*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b) + 2*(sqrt(b*d)*b^9*c^5*abs(b) + sqrt(b*d)*a*b^8*c^4*d*abs(b) - 14*sqrt(b*d)*a^2*b^7*c^3*d^2*abs(b) + 26*sqrt(b*d)*a^3*b^6*c^2*d^3*abs(b) - 19*sqrt(b*d)*a^4*b^5*c*d^4*abs(b) + 5*sqrt(b*d)*a^5*b^4*d^5*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^7*c^4*abs(b) - 8*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*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))^2*a^2*b^5*c^2*d^2*abs(b) + 16*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^3*abs(b) - 15*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^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))^4*b^5*c^3*abs(b) + 17*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*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))^4*a^2*b^3*c*d^2*abs(b) + 15*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^3*abs(b) - 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*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))^6*a*b^2*c*d*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))^6*a^2*b*d^2*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a))/b","B",0
563,1,2161,0,39.823274," ","integrate((d*x+c)^(3/2)*(b*x+a)^(1/2)/x^4,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(\sqrt{b d} b^{4} c^{3} {\left| b \right|} - 3 \, \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} + 3 \, \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} - \sqrt{b d} a^{3} b d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b c} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{14} c^{8} {\left| b \right|} - 26 \, \sqrt{b d} a b^{13} c^{7} d {\left| b \right|} + 90 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} {\left| b \right|} - 162 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} {\left| b \right|} + 160 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} {\left| b \right|} - 78 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} {\left| b \right|} + 6 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} {\left| b \right|} + 10 \, \sqrt{b d} a^{7} b^{7} c d^{7} {\left| b \right|} - 3 \, \sqrt{b d} a^{8} b^{6} d^{8} {\left| b \right|} - 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)}^{2} b^{12} c^{7} {\left| b \right|} + 81 \, \sqrt{b 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^{6} d {\left| b \right|} - 147 \, \sqrt{b 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^{5} d^{2} {\left| b \right|} + 93 \, \sqrt{b 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^{4} 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)}^{2} a^{4} b^{8} c^{3} 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} a^{5} b^{7} c^{2} d^{5} {\left| b \right|} - 33 \, \sqrt{b 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} c d^{6} {\left| b \right|} + 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)}^{2} a^{7} b^{5} d^{7} {\left| b \right|} + 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)}^{4} b^{10} c^{6} {\left| b \right|} - 96 \, \sqrt{b 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^{5} 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)}^{4} a^{2} b^{8} c^{4} d^{2} {\left| b \right|} + 96 \, \sqrt{b 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^{3} d^{3} {\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)}^{4} a^{4} b^{6} c^{2} d^{4} {\left| b \right|} - 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)}^{4} a^{6} b^{4} d^{6} {\left| b \right|} - 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^{8} c^{5} {\left| b \right|} + 62 \, \sqrt{b 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^{4} d {\left| b \right|} + 60 \, \sqrt{b 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^{3} 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)}^{6} a^{3} b^{5} c^{2} d^{3} {\left| b \right|} + 98 \, \sqrt{b 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} c d^{4} {\left| b \right|} + 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^{5} b^{3} d^{5} {\left| b \right|} + 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)}^{8} b^{6} c^{4} {\left| b \right|} - 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)}^{8} a b^{5} c^{3} d {\left| b \right|} - 48 \, \sqrt{b 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^{2} d^{2} {\left| b \right|} - 114 \, \sqrt{b 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} c d^{3} {\left| b \right|} - 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)}^{8} a^{4} 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)}^{10} b^{4} c^{3} {\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)}^{10} a b^{3} c^{2} d {\left| b \right|} + 39 \, \sqrt{b 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} 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)}^{10} a^{3} b d^{3} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a^{2} c}}{24 \, b}"," ",0,"-1/24*(3*(sqrt(b*d)*b^4*c^3*abs(b) - 3*sqrt(b*d)*a*b^3*c^2*d*abs(b) + 3*sqrt(b*d)*a^2*b^2*c*d^2*abs(b) - sqrt(b*d)*a^3*b*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c) - 2*(3*sqrt(b*d)*b^14*c^8*abs(b) - 26*sqrt(b*d)*a*b^13*c^7*d*abs(b) + 90*sqrt(b*d)*a^2*b^12*c^6*d^2*abs(b) - 162*sqrt(b*d)*a^3*b^11*c^5*d^3*abs(b) + 160*sqrt(b*d)*a^4*b^10*c^4*d^4*abs(b) - 78*sqrt(b*d)*a^5*b^9*c^3*d^5*abs(b) + 6*sqrt(b*d)*a^6*b^8*c^2*d^6*abs(b) + 10*sqrt(b*d)*a^7*b^7*c*d^7*abs(b) - 3*sqrt(b*d)*a^8*b^6*d^8*abs(b) - 15*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^7*abs(b) + 81*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^6*d*abs(b) - 147*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^5*d^2*abs(b) + 93*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^4*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))^2*a^4*b^8*c^3*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*a^5*b^7*c^2*d^5*abs(b) - 33*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*c*d^6*abs(b) + 15*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^5*d^7*abs(b) + 30*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^6*abs(b) - 96*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^5*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))^4*a^2*b^8*c^4*d^2*abs(b) + 96*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^3*d^3*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))^4*a^4*b^6*c^2*d^4*abs(b) - 30*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^4*d^6*abs(b) - 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^8*c^5*abs(b) + 62*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^4*d*abs(b) + 60*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^3*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))^6*a^3*b^5*c^2*d^3*abs(b) + 98*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*c*d^4*abs(b) + 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^5*b^3*d^5*abs(b) + 15*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^4*abs(b) - 30*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^3*d*abs(b) - 48*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^2*d^2*abs(b) - 114*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*c*d^3*abs(b) - 15*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^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))^10*b^4*c^3*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))^10*a*b^3*c^2*d*abs(b) + 39*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*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))^10*a^3*b*d^3*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a^2*c))/b","B",0
564,1,3834,0,16.746400," ","integrate((d*x+c)^(3/2)*(b*x+a)^(1/2)/x^5,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(5 \, \sqrt{b d} b^{5} c^{4} {\left| b \right|} - 12 \, \sqrt{b d} a b^{4} c^{3} d {\left| b \right|} + 6 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} + 4 \, \sqrt{b d} a^{3} b^{2} c d^{3} {\left| b \right|} - 3 \, \sqrt{b d} a^{4} b d^{4} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{3} b c^{2}} - \frac{2 \, {\left(15 \, \sqrt{b d} b^{19} c^{11} {\left| b \right|} - 151 \, \sqrt{b d} a b^{18} c^{10} d {\left| b \right|} + 677 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} {\left| b \right|} - 1789 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} {\left| b \right|} + 3110 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} {\left| b \right|} - 3766 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} {\left| b \right|} + 3290 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} {\left| b \right|} - 2122 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} {\left| b \right|} + 1019 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} {\left| b \right|} - 355 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} {\left| b \right|} + 81 \, \sqrt{b d} a^{10} b^{9} c d^{10} {\left| b \right|} - 9 \, \sqrt{b d} a^{11} b^{8} d^{11} {\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)}^{2} b^{17} c^{10} {\left| b \right|} + 722 \, \sqrt{b 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^{16} c^{9} d {\left| b \right|} - 1933 \, \sqrt{b 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^{15} c^{8} d^{2} {\left| b \right|} + 2328 \, \sqrt{b 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^{14} c^{7} d^{3} {\left| b \right|} - 514 \, \sqrt{b 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^{13} c^{6} d^{4} {\left| b \right|} - 2068 \, \sqrt{b 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^{12} c^{5} d^{5} {\left| b \right|} + 2958 \, \sqrt{b 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^{11} c^{4} d^{6} {\left| b \right|} - 2152 \, \sqrt{b 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^{10} c^{3} d^{7} {\left| b \right|} + 1067 \, \sqrt{b 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^{9} c^{2} d^{8} {\left| b \right|} - 366 \, \sqrt{b 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^{9} b^{8} c d^{9} {\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)}^{2} a^{10} b^{7} d^{10} {\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)}^{4} b^{15} c^{9} {\left| b \right|} - 1381 \, \sqrt{b 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^{14} c^{8} d {\left| b \right|} + 1932 \, \sqrt{b 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^{13} c^{7} 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^{3} b^{12} c^{6} d^{3} {\left| b \right|} - 1174 \, \sqrt{b 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^{11} c^{5} d^{4} {\left| b \right|} + 762 \, \sqrt{b 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^{10} c^{4} d^{5} {\left| b \right|} + 348 \, \sqrt{b 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^{9} c^{3} d^{6} {\left| b \right|} - 820 \, \sqrt{b 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^{8} c^{2} d^{7} {\left| b \right|} + 627 \, \sqrt{b 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^{8} b^{7} c 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)}^{4} a^{9} b^{6} d^{9} {\left| b \right|} - 525 \, \sqrt{b 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^{13} c^{8} {\left| b \right|} + 1360 \, \sqrt{b 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^{12} c^{7} d {\left| b \right|} - 788 \, \sqrt{b 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^{11} c^{6} d^{2} {\left| b \right|} + 832 \, \sqrt{b 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^{10} c^{5} d^{3} {\left| b \right|} - 1910 \, \sqrt{b 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^{9} c^{4} d^{4} {\left| b \right|} + 976 \, \sqrt{b 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^{8} c^{3} d^{5} {\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)}^{6} a^{6} b^{7} c^{2} d^{6} {\left| b \right|} - 480 \, \sqrt{b 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^{7} b^{6} c 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)}^{6} a^{8} b^{5} d^{8} {\left| b \right|} + 525 \, \sqrt{b 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^{11} c^{7} {\left| b \right|} - 785 \, \sqrt{b 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^{10} c^{6} d {\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^{9} c^{5} d^{2} {\left| b \right|} - 393 \, \sqrt{b 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^{8} c^{4} d^{3} {\left| b \right|} - 113 \, \sqrt{b 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^{7} c^{3} d^{4} {\left| b \right|} - 1067 \, \sqrt{b 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^{6} c^{2} 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)}^{8} a^{6} b^{5} c 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)}^{8} a^{7} b^{4} 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^{9} c^{6} {\left| b \right|} + 346 \, \sqrt{b 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^{8} c^{5} d {\left| b \right|} + 291 \, \sqrt{b 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^{7} c^{4} d^{2} {\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)}^{10} a^{3} b^{6} c^{3} d^{3} {\left| b \right|} + 1531 \, \sqrt{b 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^{5} c^{2} d^{4} {\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)}^{10} a^{5} b^{4} c d^{5} {\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)}^{10} a^{6} b^{3} 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^{7} c^{5} {\left| b \right|} - 147 \, \sqrt{b 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^{6} c^{4} d {\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)}^{12} a^{2} b^{5} c^{3} d^{2} {\left| b \right|} - 558 \, \sqrt{b 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^{4} c^{2} d^{3} {\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)}^{12} a^{4} b^{3} c d^{4} {\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)}^{12} a^{5} b^{2} d^{5} {\left| b \right|} - 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)}^{14} b^{5} c^{4} {\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)}^{14} a b^{4} c^{3} 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)}^{14} a^{2} b^{3} c^{2} d^{2} {\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)}^{14} a^{3} b^{2} c d^{3} {\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)}^{14} a^{4} b d^{4} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a^{3} c^{2}}}{192 \, b}"," ",0,"1/192*(3*(5*sqrt(b*d)*b^5*c^4*abs(b) - 12*sqrt(b*d)*a*b^4*c^3*d*abs(b) + 6*sqrt(b*d)*a^2*b^3*c^2*d^2*abs(b) + 4*sqrt(b*d)*a^3*b^2*c*d^3*abs(b) - 3*sqrt(b*d)*a^4*b*d^4*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b*c^2) - 2*(15*sqrt(b*d)*b^19*c^11*abs(b) - 151*sqrt(b*d)*a*b^18*c^10*d*abs(b) + 677*sqrt(b*d)*a^2*b^17*c^9*d^2*abs(b) - 1789*sqrt(b*d)*a^3*b^16*c^8*d^3*abs(b) + 3110*sqrt(b*d)*a^4*b^15*c^7*d^4*abs(b) - 3766*sqrt(b*d)*a^5*b^14*c^6*d^5*abs(b) + 3290*sqrt(b*d)*a^6*b^13*c^5*d^6*abs(b) - 2122*sqrt(b*d)*a^7*b^12*c^4*d^7*abs(b) + 1019*sqrt(b*d)*a^8*b^11*c^3*d^8*abs(b) - 355*sqrt(b*d)*a^9*b^10*c^2*d^9*abs(b) + 81*sqrt(b*d)*a^10*b^9*c*d^10*abs(b) - 9*sqrt(b*d)*a^11*b^8*d^11*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))^2*b^17*c^10*abs(b) + 722*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^16*c^9*d*abs(b) - 1933*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^15*c^8*d^2*abs(b) + 2328*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^14*c^7*d^3*abs(b) - 514*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^13*c^6*d^4*abs(b) - 2068*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^12*c^5*d^5*abs(b) + 2958*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^11*c^4*d^6*abs(b) - 2152*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^10*c^3*d^7*abs(b) + 1067*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^9*c^2*d^8*abs(b) - 366*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9*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))^2*a^10*b^7*d^10*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))^4*b^15*c^9*abs(b) - 1381*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^14*c^8*d*abs(b) + 1932*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^13*c^7*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^3*b^12*c^6*d^3*abs(b) - 1174*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^11*c^5*d^4*abs(b) + 762*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^10*c^4*d^5*abs(b) + 348*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^9*c^3*d^6*abs(b) - 820*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^8*c^2*d^7*abs(b) + 627*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*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))^4*a^9*b^6*d^9*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^13*c^8*abs(b) + 1360*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^12*c^7*d*abs(b) - 788*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^11*c^6*d^2*abs(b) + 832*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^10*c^5*d^3*abs(b) - 1910*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^9*c^4*d^4*abs(b) + 976*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^8*c^3*d^5*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))^6*a^6*b^7*c^2*d^6*abs(b) - 480*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*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))^6*a^8*b^5*d^8*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^11*c^7*abs(b) - 785*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^10*c^6*d*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^9*c^5*d^2*abs(b) - 393*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^8*c^4*d^3*abs(b) - 113*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^7*c^3*d^4*abs(b) - 1067*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^6*c^2*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))^8*a^6*b^5*c*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))^8*a^7*b^4*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^9*c^6*abs(b) + 346*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^8*c^5*d*abs(b) + 291*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^7*c^4*d^2*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))^10*a^3*b^6*c^3*d^3*abs(b) + 1531*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^5*c^2*d^4*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))^10*a^5*b^4*c*d^5*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))^10*a^6*b^3*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^7*c^5*abs(b) - 147*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^6*c^4*d*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))^12*a^2*b^5*c^3*d^2*abs(b) - 558*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^4*c^2*d^3*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))^12*a^4*b^3*c*d^4*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))^12*a^5*b^2*d^5*abs(b) - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^5*c^4*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))^14*a*b^4*c^3*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))^14*a^2*b^3*c^2*d^2*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))^14*a^3*b^2*c*d^3*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))^14*a^4*b*d^4*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a^3*c^2))/b","B",0
565,-1,0,0,0.000000," ","integrate((d*x+c)^(3/2)*(b*x+a)^(1/2)/x^6,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
566,1,2043,0,3.050058," ","integrate(x^2*(d*x+c)^(5/2)*(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\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^{2} {\left| b \right|}}{b^{2}} + \frac{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)} c^{2} {\left| b \right|}}{b} + \frac{80 \, {\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|}}{b^{2}} + \frac{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)} c d {\left| b \right|}}{b} + \frac{4 \, {\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|}}{b^{2}} + \frac{{\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)} d^{2} {\left| b \right|}}{b}}{7680 \, b}"," ",0,"1/7680*(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^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))*c^2*abs(b)/b + 80*(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)/b^2 + 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))*c*d*abs(b)/b + 4*(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)/b^2 + (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))*d^2*abs(b)/b)/b","B",0
567,1,1522,0,2.834304," ","integrate(x*(d*x+c)^(5/2)*(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\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|}}{b} + \frac{160 \, {\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^{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)} c d {\left| b \right|}}{b} + \frac{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)} 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(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|}}{b} + \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 c^{2} {\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)/b + 160*(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^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)/b + 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))*a*d^2*abs(b)/b^2 + (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)/b + 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*c^2*abs(b)/b^3)/b","B",0
568,1,1083,0,2.508555," ","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
569,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)*(b*x+a)^(1/2)/x,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.73"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
570,1,597,0,4.062621," ","integrate((d*x+c)^(5/2)*(b*x+a)^(1/2)/x^2,x, algorithm=""giac"")","\frac{2 \, \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^{2}} + \frac{9 \, b^{3} c d^{3} {\left| b \right|} - a b^{2} d^{4} {\left| b \right|}}{b^{4} d^{2}}\right)} - \frac{8 \, {\left(\sqrt{b d} b^{2} c^{3} {\left| b \right|} + 5 \, \sqrt{b d} a b c^{2} d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{16 \, {\left(\sqrt{b d} b^{4} c^{4} {\left| b \right|} - 2 \, \sqrt{b d} a b^{3} c^{3} d {\left| b \right|} + \sqrt{b d} a^{2} b^{2} c^{2} d^{2} {\left| b \right|} - \sqrt{b 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^{2} c^{3} {\left| b \right|} - \sqrt{b 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 c^{2} d {\left| b \right|}\right)}}{b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4}} - \frac{{\left(15 \, \sqrt{b d} b^{2} c^{2} {\left| b \right|} + 10 \, \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)}{b^{2}}}{8 \, b}"," ",0,"1/8*(2*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^2 + (9*b^3*c*d^3*abs(b) - a*b^2*d^4*abs(b))/(b^4*d^2)) - 8*(sqrt(b*d)*b^2*c^3*abs(b) + 5*sqrt(b*d)*a*b*c^2*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 16*(sqrt(b*d)*b^4*c^4*abs(b) - 2*sqrt(b*d)*a*b^3*c^3*d*abs(b) + sqrt(b*d)*a^2*b^2*c^2*d^2*abs(b) - sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c^3*abs(b) - 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*c^2*d*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4) - (15*sqrt(b*d)*b^2*c^2*abs(b) + 10*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^2)/b","B",0
571,1,1200,0,16.312993," ","integrate((d*x+c)^(5/2)*(b*x+a)^(1/2)/x^3,x, algorithm=""giac"")","\frac{\frac{4 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} d^{2} {\left| b \right|}}{b} - \frac{2 \, {\left(5 \, \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)}{b} + \frac{{\left(\sqrt{b d} b^{3} c^{3} {\left| b \right|} - 10 \, \sqrt{b d} a b^{2} c^{2} d {\left| b \right|} - 15 \, \sqrt{b d} a^{2} b c d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b} - \frac{2 \, {\left(\sqrt{b d} b^{9} c^{6} {\left| b \right|} + 5 \, \sqrt{b d} a b^{8} c^{5} d {\left| b \right|} - 30 \, \sqrt{b d} a^{2} b^{7} c^{4} d^{2} {\left| b \right|} + 50 \, \sqrt{b d} a^{3} b^{6} c^{3} d^{3} {\left| b \right|} - 35 \, \sqrt{b d} a^{4} b^{5} c^{2} d^{4} {\left| b \right|} + 9 \, \sqrt{b d} a^{5} b^{4} c d^{5} {\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^{7} c^{5} {\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)}^{2} a b^{6} c^{4} d {\left| b \right|} + 22 \, \sqrt{b 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^{3} d^{2} {\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^{4} c^{2} d^{3} {\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)}^{2} a^{4} b^{3} c 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)}^{4} b^{5} c^{4} {\left| b \right|} + 29 \, \sqrt{b 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^{3} d {\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^{2} b^{3} c^{2} d^{2} {\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^{3} b^{2} c d^{3} {\left| b \right|} - \sqrt{b 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^{3} {\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)}^{6} a b^{2} c^{2} d {\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)}^{6} a^{2} b c d^{2} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a}}{4 \, b}"," ",0,"1/4*(4*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*d^2*abs(b)/b - 2*(5*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 + (sqrt(b*d)*b^3*c^3*abs(b) - 10*sqrt(b*d)*a*b^2*c^2*d*abs(b) - 15*sqrt(b*d)*a^2*b*c*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b) - 2*(sqrt(b*d)*b^9*c^6*abs(b) + 5*sqrt(b*d)*a*b^8*c^5*d*abs(b) - 30*sqrt(b*d)*a^2*b^7*c^4*d^2*abs(b) + 50*sqrt(b*d)*a^3*b^6*c^3*d^3*abs(b) - 35*sqrt(b*d)*a^4*b^5*c^2*d^4*abs(b) + 9*sqrt(b*d)*a^5*b^4*c*d^5*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^7*c^5*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))^2*a*b^6*c^4*d*abs(b) + 22*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^3*d^2*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^4*c^2*d^3*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))^2*a^4*b^3*c*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))^4*b^5*c^4*abs(b) + 29*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^3*d*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^2*b^3*c^2*d^2*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^3*b^2*c*d^3*abs(b) - 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^3*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))^6*a*b^2*c^2*d*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))^6*a^2*b*c*d^2*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a))/b","B",0
572,1,2265,0,98.292558," ","integrate((d*x+c)^(5/2)*(b*x+a)^(1/2)/x^4,x, algorithm=""giac"")","-\frac{24 \, \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) + \frac{3 \, {\left(\sqrt{b d} b^{4} c^{3} {\left| b \right|} - 5 \, \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} + 15 \, \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} + 5 \, \sqrt{b d} a^{3} b d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{14} c^{8} {\left| b \right|} - 32 \, \sqrt{b d} a b^{13} c^{7} d {\left| b \right|} + 96 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} {\left| b \right|} - 72 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} {\left| b \right|} - 170 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} {\left| b \right|} + 432 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} {\left| b \right|} - 408 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} {\left| b \right|} + 184 \, \sqrt{b d} a^{7} b^{7} c d^{7} {\left| b \right|} - 33 \, \sqrt{b d} a^{8} b^{6} d^{8} {\left| b \right|} - 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)}^{2} b^{12} c^{7} {\left| b \right|} + 111 \, \sqrt{b 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^{6} d {\left| b \right|} - 111 \, \sqrt{b 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^{5} d^{2} {\left| b \right|} - 201 \, \sqrt{b 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^{4} d^{3} {\left| b \right|} + 219 \, \sqrt{b 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^{3} d^{4} {\left| b \right|} + 309 \, \sqrt{b 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^{2} d^{5} {\left| b \right|} - 477 \, \sqrt{b 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} c 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^{7} b^{5} d^{7} {\left| b \right|} + 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)}^{4} b^{10} c^{6} {\left| b \right|} - 156 \, \sqrt{b 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^{5} d {\left| b \right|} - 198 \, \sqrt{b 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^{4} d^{2} {\left| b \right|} + 312 \, \sqrt{b 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^{3} d^{3} {\left| b \right|} + 114 \, \sqrt{b 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^{2} d^{4} {\left| b \right|} + 228 \, \sqrt{b 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} c 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^{6} b^{4} d^{6} {\left| b \right|} - 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^{8} c^{5} {\left| b \right|} + 122 \, \sqrt{b 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^{4} d {\left| b \right|} + 396 \, \sqrt{b 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^{3} d^{2} {\left| b \right|} + 252 \, \sqrt{b 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^{2} d^{3} {\left| b \right|} + 338 \, \sqrt{b 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} c d^{4} {\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)}^{6} a^{5} b^{3} d^{5} {\left| b \right|} + 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)}^{8} b^{6} c^{4} {\left| b \right|} - 60 \, \sqrt{b 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^{3} d {\left| b \right|} - 282 \, \sqrt{b 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^{2} d^{2} {\left| b \right|} - 372 \, \sqrt{b 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} c d^{3} {\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)}^{8} a^{4} 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)}^{10} b^{4} c^{3} {\left| b \right|} + 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)}^{10} a b^{3} c^{2} d {\left| b \right|} + 99 \, \sqrt{b 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} c d^{2} {\left| b \right|} + 33 \, \sqrt{b 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 d^{3} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a^{2}}}{24 \, b}"," ",0,"-1/24*(24*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) + 3*(sqrt(b*d)*b^4*c^3*abs(b) - 5*sqrt(b*d)*a*b^3*c^2*d*abs(b) + 15*sqrt(b*d)*a^2*b^2*c*d^2*abs(b) + 5*sqrt(b*d)*a^3*b*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b) - 2*(3*sqrt(b*d)*b^14*c^8*abs(b) - 32*sqrt(b*d)*a*b^13*c^7*d*abs(b) + 96*sqrt(b*d)*a^2*b^12*c^6*d^2*abs(b) - 72*sqrt(b*d)*a^3*b^11*c^5*d^3*abs(b) - 170*sqrt(b*d)*a^4*b^10*c^4*d^4*abs(b) + 432*sqrt(b*d)*a^5*b^9*c^3*d^5*abs(b) - 408*sqrt(b*d)*a^6*b^8*c^2*d^6*abs(b) + 184*sqrt(b*d)*a^7*b^7*c*d^7*abs(b) - 33*sqrt(b*d)*a^8*b^6*d^8*abs(b) - 15*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^7*abs(b) + 111*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^6*d*abs(b) - 111*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^5*d^2*abs(b) - 201*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^4*d^3*abs(b) + 219*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^3*d^4*abs(b) + 309*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^2*d^5*abs(b) - 477*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*c*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^7*b^5*d^7*abs(b) + 30*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^6*abs(b) - 156*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^5*d*abs(b) - 198*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^4*d^2*abs(b) + 312*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^3*d^3*abs(b) + 114*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^2*d^4*abs(b) + 228*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*c*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^6*b^4*d^6*abs(b) - 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^8*c^5*abs(b) + 122*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^4*d*abs(b) + 396*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^3*d^2*abs(b) + 252*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^2*d^3*abs(b) + 338*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*c*d^4*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))^6*a^5*b^3*d^5*abs(b) + 15*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^4*abs(b) - 60*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^3*d*abs(b) - 282*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^2*d^2*abs(b) - 372*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*c*d^3*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))^8*a^4*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))^10*b^4*c^3*abs(b) + 15*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^2*d*abs(b) + 99*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*c*d^2*abs(b) + 33*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*d^3*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a^2))/b","B",0
573,1,3832,0,16.769279," ","integrate((d*x+c)^(5/2)*(b*x+a)^(1/2)/x^5,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(\sqrt{b d} b^{5} c^{4} {\left| b \right|} - 4 \, \sqrt{b d} a b^{4} c^{3} d {\left| b \right|} + 6 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} - 4 \, \sqrt{b d} a^{3} b^{2} c d^{3} {\left| b \right|} + \sqrt{b d} a^{4} b d^{4} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{3} b c} - \frac{2 \, {\left(15 \, \sqrt{b d} b^{19} c^{11} {\left| b \right|} - 175 \, \sqrt{b d} a b^{18} c^{10} d {\left| b \right|} + 933 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} {\left| b \right|} - 2949 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} {\left| b \right|} + 6054 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} {\left| b \right|} - 8358 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} {\left| b \right|} + 7770 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} {\left| b \right|} - 4698 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} {\left| b \right|} + 1659 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} {\left| b \right|} - 219 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} {\left| b \right|} - 47 \, \sqrt{b d} a^{10} b^{9} c d^{10} {\left| b \right|} + 15 \, \sqrt{b d} a^{11} b^{8} d^{11} {\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)}^{2} b^{17} c^{10} {\left| b \right|} + 890 \, \sqrt{b 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^{16} c^{9} d {\left| b \right|} - 3189 \, \sqrt{b 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^{15} c^{8} d^{2} {\left| b \right|} + 5944 \, \sqrt{b 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^{14} c^{7} d^{3} {\left| b \right|} - 5410 \, \sqrt{b 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^{13} c^{6} d^{4} {\left| b \right|} + 540 \, \sqrt{b 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^{12} c^{5} d^{5} {\left| b \right|} + 3550 \, \sqrt{b 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^{11} c^{4} d^{6} {\left| b \right|} - 3016 \, \sqrt{b 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^{10} c^{3} d^{7} {\left| b \right|} + 651 \, \sqrt{b 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^{9} c^{2} d^{8} {\left| b \right|} + 250 \, \sqrt{b 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^{9} b^{8} c d^{9} {\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)}^{2} a^{10} b^{7} d^{10} {\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)}^{4} b^{15} c^{9} {\left| b \right|} - 1885 \, \sqrt{b 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^{14} c^{8} d {\left| b \right|} + 4444 \, \sqrt{b 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^{13} c^{7} d^{2} {\left| b \right|} - 4020 \, \sqrt{b 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^{12} c^{6} d^{3} {\left| b \right|} - 646 \, \sqrt{b 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^{11} c^{5} d^{4} {\left| b \right|} + 2554 \, \sqrt{b 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^{10} c^{4} d^{5} {\left| b \right|} + 204 \, \sqrt{b 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^{9} c^{3} d^{6} {\left| b \right|} - 1060 \, \sqrt{b 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^{8} c^{2} d^{7} {\left| b \right|} - 221 \, \sqrt{b 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^{8} b^{7} c d^{8} {\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)}^{4} a^{9} b^{6} d^{9} {\left| b \right|} - 525 \, \sqrt{b 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^{13} c^{8} {\left| b \right|} + 2200 \, \sqrt{b 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^{12} c^{7} d {\left| b \right|} - 3468 \, \sqrt{b 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^{11} c^{6} d^{2} {\left| b \right|} + 1320 \, \sqrt{b 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^{10} c^{5} d^{3} {\left| b \right|} - 846 \, \sqrt{b 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^{9} c^{4} d^{4} {\left| b \right|} + 1704 \, \sqrt{b 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^{8} c^{3} d^{5} {\left| b \right|} + 1140 \, \sqrt{b 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^{7} c^{2} d^{6} {\left| b \right|} - 1000 \, \sqrt{b 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^{7} b^{6} c d^{7} {\left| b \right|} - 525 \, \sqrt{b 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^{8} b^{5} d^{8} {\left| b \right|} + 525 \, \sqrt{b 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^{11} c^{7} {\left| b \right|} - 1625 \, \sqrt{b 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^{10} c^{6} d {\left| b \right|} + 1725 \, \sqrt{b 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^{9} c^{5} d^{2} {\left| b \right|} + 1295 \, \sqrt{b 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^{8} c^{4} d^{3} {\left| b \right|} + 1039 \, \sqrt{b 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^{7} c^{3} d^{4} {\left| b \right|} - 195 \, \sqrt{b 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^{6} c^{2} d^{5} {\left| b \right|} + 2855 \, \sqrt{b 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^{6} b^{5} c d^{6} {\left| b \right|} + 525 \, \sqrt{b 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^{7} b^{4} 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^{9} c^{6} {\left| b \right|} + 850 \, \sqrt{b 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^{8} c^{5} d {\left| b \right|} - 565 \, \sqrt{b 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^{7} c^{4} d^{2} {\left| b \right|} - 1860 \, \sqrt{b 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^{6} c^{3} d^{3} {\left| b \right|} - 821 \, \sqrt{b 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^{5} c^{2} d^{4} {\left| b \right|} - 3118 \, \sqrt{b 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^{5} b^{4} 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^{6} b^{3} 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^{7} c^{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)}^{12} a b^{6} c^{4} d {\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} a^{2} b^{5} c^{3} d^{2} {\left| b \right|} + 594 \, \sqrt{b 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^{4} c^{2} d^{3} {\left| b \right|} + 1605 \, \sqrt{b 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^{4} b^{3} 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^{5} b^{2} d^{5} {\left| b \right|} - 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)}^{14} b^{5} c^{4} {\left| b \right|} + 60 \, \sqrt{b 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^{4} c^{3} d {\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)}^{14} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} - 324 \, \sqrt{b 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^{3} b^{2} c d^{3} {\left| b \right|} - 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)}^{14} a^{4} b d^{4} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a^{3} c}}{192 \, b}"," ",0,"1/192*(15*(sqrt(b*d)*b^5*c^4*abs(b) - 4*sqrt(b*d)*a*b^4*c^3*d*abs(b) + 6*sqrt(b*d)*a^2*b^3*c^2*d^2*abs(b) - 4*sqrt(b*d)*a^3*b^2*c*d^3*abs(b) + sqrt(b*d)*a^4*b*d^4*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b*c) - 2*(15*sqrt(b*d)*b^19*c^11*abs(b) - 175*sqrt(b*d)*a*b^18*c^10*d*abs(b) + 933*sqrt(b*d)*a^2*b^17*c^9*d^2*abs(b) - 2949*sqrt(b*d)*a^3*b^16*c^8*d^3*abs(b) + 6054*sqrt(b*d)*a^4*b^15*c^7*d^4*abs(b) - 8358*sqrt(b*d)*a^5*b^14*c^6*d^5*abs(b) + 7770*sqrt(b*d)*a^6*b^13*c^5*d^6*abs(b) - 4698*sqrt(b*d)*a^7*b^12*c^4*d^7*abs(b) + 1659*sqrt(b*d)*a^8*b^11*c^3*d^8*abs(b) - 219*sqrt(b*d)*a^9*b^10*c^2*d^9*abs(b) - 47*sqrt(b*d)*a^10*b^9*c*d^10*abs(b) + 15*sqrt(b*d)*a^11*b^8*d^11*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))^2*b^17*c^10*abs(b) + 890*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^16*c^9*d*abs(b) - 3189*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^15*c^8*d^2*abs(b) + 5944*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^14*c^7*d^3*abs(b) - 5410*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^13*c^6*d^4*abs(b) + 540*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^12*c^5*d^5*abs(b) + 3550*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^11*c^4*d^6*abs(b) - 3016*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^10*c^3*d^7*abs(b) + 651*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^9*c^2*d^8*abs(b) + 250*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9*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))^2*a^10*b^7*d^10*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))^4*b^15*c^9*abs(b) - 1885*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^14*c^8*d*abs(b) + 4444*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^13*c^7*d^2*abs(b) - 4020*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^12*c^6*d^3*abs(b) - 646*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^11*c^5*d^4*abs(b) + 2554*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^10*c^4*d^5*abs(b) + 204*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^9*c^3*d^6*abs(b) - 1060*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^8*c^2*d^7*abs(b) - 221*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*d^8*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))^4*a^9*b^6*d^9*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^13*c^8*abs(b) + 2200*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^12*c^7*d*abs(b) - 3468*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^11*c^6*d^2*abs(b) + 1320*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^10*c^5*d^3*abs(b) - 846*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^9*c^4*d^4*abs(b) + 1704*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^8*c^3*d^5*abs(b) + 1140*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^7*c^2*d^6*abs(b) - 1000*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*d^7*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^5*d^8*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^11*c^7*abs(b) - 1625*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^10*c^6*d*abs(b) + 1725*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^9*c^5*d^2*abs(b) + 1295*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^8*c^4*d^3*abs(b) + 1039*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^7*c^3*d^4*abs(b) - 195*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^6*c^2*d^5*abs(b) + 2855*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^5*c*d^6*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^4*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^9*c^6*abs(b) + 850*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^8*c^5*d*abs(b) - 565*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^7*c^4*d^2*abs(b) - 1860*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^6*c^3*d^3*abs(b) - 821*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^5*c^2*d^4*abs(b) - 3118*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*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^6*b^3*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^7*c^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))^12*a*b^6*c^4*d*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*a^2*b^5*c^3*d^2*abs(b) + 594*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^4*c^2*d^3*abs(b) + 1605*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^3*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^5*b^2*d^5*abs(b) - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^5*c^4*abs(b) + 60*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^4*c^3*d*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))^14*a^2*b^3*c^2*d^2*abs(b) - 324*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^2*c*d^3*abs(b) - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b*d^4*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a^3*c))/b","B",0
574,-1,0,0,0.000000," ","integrate((d*x+c)^(5/2)*(b*x+a)^(1/2)/x^6,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
575,1,8502,0,45.073025," ","integrate((d*x+c)^(5/2)*(b*x+a)^(1/2)/x^7,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(21 \, \sqrt{b d} b^{7} c^{6} {\left| b \right|} - 70 \, \sqrt{b d} a b^{6} c^{5} d {\left| b \right|} + 75 \, \sqrt{b d} a^{2} b^{5} c^{4} d^{2} {\left| b \right|} - 20 \, \sqrt{b d} a^{3} b^{4} c^{3} d^{3} {\left| b \right|} - 5 \, \sqrt{b d} a^{4} b^{3} c^{2} d^{4} {\left| b \right|} - 6 \, \sqrt{b d} a^{5} b^{2} c d^{5} {\left| b \right|} + 5 \, \sqrt{b d} a^{6} b d^{6} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{5} b c^{3}} - \frac{2 \, {\left(315 \, \sqrt{b d} b^{29} c^{17} {\left| b \right|} - 4725 \, \sqrt{b d} a b^{28} c^{16} d {\left| b \right|} + 32968 \, \sqrt{b d} a^{2} b^{27} c^{15} d^{2} {\left| b \right|} - 141816 \, \sqrt{b d} a^{3} b^{26} c^{14} d^{3} {\left| b \right|} + 420148 \, \sqrt{b d} a^{4} b^{25} c^{13} d^{4} {\left| b \right|} - 906700 \, \sqrt{b d} a^{5} b^{24} c^{12} d^{5} {\left| b \right|} + 1468920 \, \sqrt{b d} a^{6} b^{23} c^{11} d^{6} {\left| b \right|} - 1811656 \, \sqrt{b d} a^{7} b^{22} c^{10} d^{7} {\left| b \right|} + 1701282 \, \sqrt{b d} a^{8} b^{21} c^{9} d^{8} {\left| b \right|} - 1195326 \, \sqrt{b d} a^{9} b^{20} c^{8} d^{9} {\left| b \right|} + 595320 \, \sqrt{b d} a^{10} b^{19} c^{7} d^{10} {\left| b \right|} - 174280 \, \sqrt{b d} a^{11} b^{18} c^{6} d^{11} {\left| b \right|} - 4812 \, \sqrt{b d} a^{12} b^{17} c^{5} d^{12} {\left| b \right|} + 34484 \, \sqrt{b d} a^{13} b^{16} c^{4} d^{13} {\left| b \right|} - 18872 \, \sqrt{b d} a^{14} b^{15} c^{3} d^{14} {\left| b \right|} + 5640 \, \sqrt{b d} a^{15} b^{14} c^{2} d^{15} {\left| b \right|} - 965 \, \sqrt{b d} a^{16} b^{13} c d^{16} {\left| b \right|} + 75 \, \sqrt{b d} a^{17} b^{12} d^{17} {\left| b \right|} - 3465 \, \sqrt{b 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^{27} c^{16} {\left| b \right|} + 41160 \, \sqrt{b 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^{26} c^{15} d {\left| b \right|} - 218616 \, \sqrt{b 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^{25} c^{14} d^{2} {\left| b \right|} + 675384 \, \sqrt{b 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^{24} c^{13} d^{3} {\left| b \right|} - 1305900 \, \sqrt{b 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^{23} c^{12} d^{4} {\left| b \right|} + 1515720 \, \sqrt{b 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^{22} c^{11} d^{5} {\left| b \right|} - 667560 \, \sqrt{b 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^{21} c^{10} d^{6} {\left| b \right|} - 987528 \, \sqrt{b 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^{20} c^{9} d^{7} {\left| b \right|} + 2269242 \, \sqrt{b 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^{19} c^{8} d^{8} {\left| b \right|} - 2304360 \, \sqrt{b 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^{9} b^{18} c^{7} d^{9} {\left| b \right|} + 1407480 \, \sqrt{b 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^{10} b^{17} c^{6} d^{10} {\left| b \right|} - 485400 \, \sqrt{b 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^{11} b^{16} c^{5} d^{11} {\left| b \right|} + 27444 \, \sqrt{b 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^{12} b^{15} c^{4} d^{12} {\left| b \right|} + 62424 \, \sqrt{b 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^{13} b^{14} c^{3} d^{13} {\left| b \right|} - 33240 \, \sqrt{b 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^{14} b^{13} c^{2} d^{14} {\left| b \right|} + 8040 \, \sqrt{b 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^{15} b^{12} c d^{15} {\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)}^{2} a^{16} b^{11} d^{16} {\left| b \right|} + 17325 \, \sqrt{b 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^{25} c^{15} {\left| b \right|} - 158865 \, \sqrt{b 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^{24} c^{14} d {\left| b \right|} + 620433 \, \sqrt{b 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^{23} c^{13} d^{2} {\left| b \right|} - 1310205 \, \sqrt{b 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^{22} c^{12} d^{3} {\left| b \right|} + 1538025 \, \sqrt{b 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^{21} c^{11} d^{4} {\left| b \right|} - 890925 \, \sqrt{b 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^{20} c^{10} d^{5} {\left| b \right|} + 335565 \, \sqrt{b 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^{19} c^{9} d^{6} {\left| b \right|} - 1032441 \, \sqrt{b 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^{18} c^{8} d^{7} {\left| b \right|} + 2299575 \, \sqrt{b 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^{8} b^{17} c^{7} d^{8} {\left| b \right|} - 2523075 \, \sqrt{b 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^{9} b^{16} c^{6} d^{9} {\left| b \right|} + 1534275 \, \sqrt{b 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^{10} b^{15} c^{5} d^{10} {\left| b \right|} - 457575 \, \sqrt{b 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^{11} b^{14} c^{4} d^{11} {\left| b \right|} - 24717 \, \sqrt{b 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^{12} b^{13} c^{3} d^{12} {\left| b \right|} + 77505 \, \sqrt{b 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^{13} b^{12} c^{2} d^{13} {\left| b \right|} - 29025 \, \sqrt{b 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^{14} b^{11} c d^{14} {\left| b \right|} + 4125 \, \sqrt{b 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^{15} b^{10} d^{15} {\left| b \right|} - 51975 \, \sqrt{b 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^{23} c^{14} {\left| b \right|} + 357210 \, \sqrt{b 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^{22} c^{13} d {\left| b \right|} - 984045 \, \sqrt{b 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^{21} c^{12} d^{2} {\left| b \right|} + 1332900 \, \sqrt{b 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^{20} c^{11} d^{3} {\left| b \right|} - 847775 \, \sqrt{b 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^{19} c^{10} d^{4} {\left| b \right|} + 209670 \, \sqrt{b 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^{18} c^{9} d^{5} {\left| b \right|} - 104205 \, \sqrt{b 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^{17} c^{8} d^{6} {\left| b \right|} - 150920 \, \sqrt{b 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^{7} b^{16} c^{7} d^{7} {\left| b \right|} + 879075 \, \sqrt{b 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^{8} b^{15} c^{6} d^{8} {\left| b \right|} - 1160250 \, \sqrt{b 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^{9} b^{14} c^{5} d^{9} {\left| b \right|} + 673105 \, \sqrt{b 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^{10} b^{13} c^{4} d^{10} {\left| b \right|} - 114780 \, \sqrt{b 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^{11} b^{12} c^{3} d^{11} {\left| b \right|} - 84285 \, \sqrt{b 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^{12} b^{11} c^{2} d^{12} {\left| b \right|} + 58650 \, \sqrt{b 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^{13} b^{10} c d^{13} {\left| b \right|} - 12375 \, \sqrt{b 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^{14} b^{9} d^{14} {\left| b \right|} + 103950 \, \sqrt{b 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^{21} c^{13} {\left| b \right|} - 518490 \, \sqrt{b 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^{20} c^{12} d {\left| b \right|} + 957780 \, \sqrt{b 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^{19} c^{11} d^{2} {\left| b \right|} - 748620 \, \sqrt{b 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^{18} c^{10} d^{3} {\left| b \right|} + 165930 \, \sqrt{b 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^{17} c^{9} d^{4} {\left| b \right|} + 224610 \, \sqrt{b 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^{16} c^{8} d^{5} {\left| b \right|} - 754440 \, \sqrt{b 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^{6} b^{15} c^{7} d^{6} {\left| b \right|} + 1090680 \, \sqrt{b 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^{7} b^{14} c^{6} d^{7} {\left| b \right|} - 553470 \, \sqrt{b 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^{8} b^{13} c^{5} d^{8} {\left| b \right|} - 100470 \, \sqrt{b 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^{9} b^{12} c^{4} d^{9} {\left| b \right|} + 150900 \, \sqrt{b 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^{10} b^{11} c^{3} d^{10} {\left| b \right|} + 27540 \, \sqrt{b 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^{11} b^{10} c^{2} d^{11} {\left| b \right|} - 70650 \, \sqrt{b 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^{12} b^{9} c d^{12} {\left| b \right|} + 24750 \, \sqrt{b 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^{13} b^{8} d^{13} {\left| b \right|} - 145530 \, \sqrt{b 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^{19} c^{12} {\left| b \right|} + 511560 \, \sqrt{b 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^{18} c^{11} d {\left| b \right|} - 589428 \, \sqrt{b 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^{17} c^{10} d^{2} {\left| b \right|} + 188136 \, \sqrt{b 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^{16} c^{9} d^{3} {\left| b \right|} + 38202 \, \sqrt{b 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^{15} c^{8} d^{4} {\left| b \right|} + 147600 \, \sqrt{b 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^{5} b^{14} c^{7} d^{5} {\left| b \right|} - 651480 \, \sqrt{b 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^{6} b^{13} c^{6} d^{6} {\left| b \right|} + 797712 \, \sqrt{b 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^{7} b^{12} c^{5} d^{7} {\left| b \right|} - 184614 \, \sqrt{b 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^{8} b^{11} c^{4} d^{8} {\left| b \right|} - 156888 \, \sqrt{b 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^{9} b^{10} c^{3} d^{9} {\left| b \right|} + 31500 \, \sqrt{b 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^{10} b^{9} c^{2} d^{10} {\left| b \right|} + 47880 \, \sqrt{b 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^{11} b^{8} c d^{11} {\left| b \right|} - 34650 \, \sqrt{b 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^{12} b^{7} d^{12} {\left| b \right|} + 145530 \, \sqrt{b 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^{17} c^{11} {\left| b \right|} - 357210 \, \sqrt{b 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^{16} c^{10} d {\left| b \right|} + 215166 \, \sqrt{b 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^{15} c^{9} d^{2} {\left| b \right|} + 34146 \, \sqrt{b 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^{14} c^{8} 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)}^{12} a^{4} b^{13} c^{7} d^{4} {\left| b \right|} + 47900 \, \sqrt{b 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^{5} b^{12} c^{6} d^{5} {\left| b \right|} + 70620 \, \sqrt{b 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^{6} b^{11} c^{5} d^{6} {\left| b \right|} - 241564 \, \sqrt{b 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^{7} b^{10} c^{4} d^{7} {\left| b \right|} + 365826 \, \sqrt{b 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^{8} b^{9} c^{3} d^{8} {\left| b \right|} - 42210 \, \sqrt{b 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^{9} b^{8} c^{2} d^{9} {\left| b \right|} - 11130 \, \sqrt{b 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^{10} b^{7} c d^{10} {\left| b \right|} + 34650 \, \sqrt{b 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^{11} b^{6} d^{11} {\left| b \right|} - 103950 \, \sqrt{b 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^{15} c^{10} {\left| b \right|} + 187740 \, \sqrt{b 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^{14} c^{9} d {\left| b \right|} - 18198 \, \sqrt{b 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^{13} c^{8} d^{2} {\left| b \right|} - 39600 \, \sqrt{b 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^{3} b^{12} c^{7} d^{3} {\left| b \right|} - 27900 \, \sqrt{b 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^{4} b^{11} c^{6} d^{4} {\left| b \right|} - 231000 \, \sqrt{b 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^{5} b^{10} c^{5} d^{5} {\left| b \right|} + 334020 \, \sqrt{b 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^{6} b^{9} c^{4} d^{6} {\left| b \right|} - 489648 \, \sqrt{b 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^{7} b^{8} c^{3} d^{7} {\left| b \right|} + 28170 \, \sqrt{b 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^{8} b^{7} c^{2} d^{8} {\left| b \right|} - 8100 \, \sqrt{b 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^{9} b^{6} c d^{9} {\left| b \right|} - 24750 \, \sqrt{b 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^{10} b^{5} d^{10} {\left| b \right|} + 51975 \, \sqrt{b 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^{13} c^{9} {\left| b \right|} - 81585 \, \sqrt{b 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^{12} c^{8} d {\left| b \right|} - 28260 \, \sqrt{b 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^{2} b^{11} c^{7} d^{2} {\left| b \right|} + 24300 \, \sqrt{b 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^{3} b^{10} c^{6} d^{3} {\left| b \right|} + 54450 \, \sqrt{b 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^{4} b^{9} c^{5} d^{4} {\left| b \right|} - 61230 \, \sqrt{b 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^{5} b^{8} c^{4} d^{5} {\left| b \right|} + 283500 \, \sqrt{b 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^{6} b^{7} c^{3} d^{6} {\left| b \right|} - 16740 \, \sqrt{b 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^{7} b^{6} c^{2} d^{7} {\left| b \right|} + 6975 \, \sqrt{b 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^{8} b^{5} c d^{8} {\left| b \right|} + 12375 \, \sqrt{b 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^{9} b^{4} d^{9} {\left| b \right|} - 17325 \, \sqrt{b 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} b^{11} c^{8} {\left| b \right|} + 30240 \, \sqrt{b 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} a b^{10} c^{7} d {\left| b \right|} + 12500 \, \sqrt{b 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} a^{2} b^{9} c^{6} d^{2} {\left| b \right|} - 24000 \, \sqrt{b 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} a^{3} b^{8} c^{5} d^{3} {\left| b \right|} - 31550 \, \sqrt{b 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} a^{4} b^{7} c^{4} d^{4} {\left| b \right|} - 53920 \, \sqrt{b 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} a^{5} b^{6} c^{3} d^{5} {\left| b \right|} + 7860 \, \sqrt{b 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} a^{6} b^{5} c^{2} d^{6} {\left| b \right|} - 1600 \, \sqrt{b 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} a^{7} b^{4} c d^{7} {\left| b \right|} - 4125 \, \sqrt{b 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} a^{8} b^{3} d^{8} {\left| b \right|} + 3465 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{20} b^{9} c^{7} {\left| b \right|} - 8085 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{20} a b^{8} c^{6} d {\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)}^{20} a^{2} b^{7} c^{5} d^{2} {\left| b \right|} + 9075 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{20} a^{3} b^{6} c^{4} d^{3} {\left| b \right|} - 4125 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{20} a^{4} b^{5} c^{3} d^{4} {\left| b \right|} - 1815 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{20} a^{5} b^{4} c^{2} d^{5} {\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)}^{20} a^{6} b^{3} c 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)}^{20} a^{7} b^{2} 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)}^{22} b^{7} c^{6} {\left| b \right|} + 1050 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a b^{6} c^{5} d {\left| b \right|} - 1125 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a^{2} b^{5} c^{4} d^{2} {\left| b \right|} + 300 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a^{3} b^{4} c^{3} d^{3} {\left| b \right|} + 75 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a^{4} b^{3} c^{2} d^{4} {\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)}^{22} a^{5} b^{2} c d^{5} {\left| b \right|} - 75 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a^{6} b d^{6} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{6} a^{5} c^{3}}}{7680 \, b}"," ",0,"1/7680*(15*(21*sqrt(b*d)*b^7*c^6*abs(b) - 70*sqrt(b*d)*a*b^6*c^5*d*abs(b) + 75*sqrt(b*d)*a^2*b^5*c^4*d^2*abs(b) - 20*sqrt(b*d)*a^3*b^4*c^3*d^3*abs(b) - 5*sqrt(b*d)*a^4*b^3*c^2*d^4*abs(b) - 6*sqrt(b*d)*a^5*b^2*c*d^5*abs(b) + 5*sqrt(b*d)*a^6*b*d^6*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^5*b*c^3) - 2*(315*sqrt(b*d)*b^29*c^17*abs(b) - 4725*sqrt(b*d)*a*b^28*c^16*d*abs(b) + 32968*sqrt(b*d)*a^2*b^27*c^15*d^2*abs(b) - 141816*sqrt(b*d)*a^3*b^26*c^14*d^3*abs(b) + 420148*sqrt(b*d)*a^4*b^25*c^13*d^4*abs(b) - 906700*sqrt(b*d)*a^5*b^24*c^12*d^5*abs(b) + 1468920*sqrt(b*d)*a^6*b^23*c^11*d^6*abs(b) - 1811656*sqrt(b*d)*a^7*b^22*c^10*d^7*abs(b) + 1701282*sqrt(b*d)*a^8*b^21*c^9*d^8*abs(b) - 1195326*sqrt(b*d)*a^9*b^20*c^8*d^9*abs(b) + 595320*sqrt(b*d)*a^10*b^19*c^7*d^10*abs(b) - 174280*sqrt(b*d)*a^11*b^18*c^6*d^11*abs(b) - 4812*sqrt(b*d)*a^12*b^17*c^5*d^12*abs(b) + 34484*sqrt(b*d)*a^13*b^16*c^4*d^13*abs(b) - 18872*sqrt(b*d)*a^14*b^15*c^3*d^14*abs(b) + 5640*sqrt(b*d)*a^15*b^14*c^2*d^15*abs(b) - 965*sqrt(b*d)*a^16*b^13*c*d^16*abs(b) + 75*sqrt(b*d)*a^17*b^12*d^17*abs(b) - 3465*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^27*c^16*abs(b) + 41160*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^26*c^15*d*abs(b) - 218616*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^25*c^14*d^2*abs(b) + 675384*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^24*c^13*d^3*abs(b) - 1305900*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^23*c^12*d^4*abs(b) + 1515720*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^22*c^11*d^5*abs(b) - 667560*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^21*c^10*d^6*abs(b) - 987528*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^20*c^9*d^7*abs(b) + 2269242*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^19*c^8*d^8*abs(b) - 2304360*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^18*c^7*d^9*abs(b) + 1407480*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^10*b^17*c^6*d^10*abs(b) - 485400*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^11*b^16*c^5*d^11*abs(b) + 27444*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^12*b^15*c^4*d^12*abs(b) + 62424*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^13*b^14*c^3*d^13*abs(b) - 33240*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^14*b^13*c^2*d^14*abs(b) + 8040*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^15*b^12*c*d^15*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))^2*a^16*b^11*d^16*abs(b) + 17325*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^25*c^15*abs(b) - 158865*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^24*c^14*d*abs(b) + 620433*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^23*c^13*d^2*abs(b) - 1310205*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^22*c^12*d^3*abs(b) + 1538025*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^21*c^11*d^4*abs(b) - 890925*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^20*c^10*d^5*abs(b) + 335565*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^19*c^9*d^6*abs(b) - 1032441*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^18*c^8*d^7*abs(b) + 2299575*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^17*c^7*d^8*abs(b) - 2523075*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^9*b^16*c^6*d^9*abs(b) + 1534275*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^10*b^15*c^5*d^10*abs(b) - 457575*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^11*b^14*c^4*d^11*abs(b) - 24717*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^12*b^13*c^3*d^12*abs(b) + 77505*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^13*b^12*c^2*d^13*abs(b) - 29025*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^14*b^11*c*d^14*abs(b) + 4125*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^15*b^10*d^15*abs(b) - 51975*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^23*c^14*abs(b) + 357210*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^22*c^13*d*abs(b) - 984045*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^21*c^12*d^2*abs(b) + 1332900*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^20*c^11*d^3*abs(b) - 847775*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^19*c^10*d^4*abs(b) + 209670*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^18*c^9*d^5*abs(b) - 104205*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^17*c^8*d^6*abs(b) - 150920*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^16*c^7*d^7*abs(b) + 879075*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^15*c^6*d^8*abs(b) - 1160250*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^9*b^14*c^5*d^9*abs(b) + 673105*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^10*b^13*c^4*d^10*abs(b) - 114780*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^11*b^12*c^3*d^11*abs(b) - 84285*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^12*b^11*c^2*d^12*abs(b) + 58650*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^13*b^10*c*d^13*abs(b) - 12375*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^14*b^9*d^14*abs(b) + 103950*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^21*c^13*abs(b) - 518490*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^20*c^12*d*abs(b) + 957780*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^19*c^11*d^2*abs(b) - 748620*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^18*c^10*d^3*abs(b) + 165930*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^17*c^9*d^4*abs(b) + 224610*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^16*c^8*d^5*abs(b) - 754440*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^15*c^7*d^6*abs(b) + 1090680*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^14*c^6*d^7*abs(b) - 553470*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^8*b^13*c^5*d^8*abs(b) - 100470*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^9*b^12*c^4*d^9*abs(b) + 150900*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^10*b^11*c^3*d^10*abs(b) + 27540*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^11*b^10*c^2*d^11*abs(b) - 70650*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^12*b^9*c*d^12*abs(b) + 24750*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^13*b^8*d^13*abs(b) - 145530*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^19*c^12*abs(b) + 511560*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^18*c^11*d*abs(b) - 589428*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^17*c^10*d^2*abs(b) + 188136*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^16*c^9*d^3*abs(b) + 38202*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^15*c^8*d^4*abs(b) + 147600*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^14*c^7*d^5*abs(b) - 651480*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^6*b^13*c^6*d^6*abs(b) + 797712*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^7*b^12*c^5*d^7*abs(b) - 184614*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^8*b^11*c^4*d^8*abs(b) - 156888*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^9*b^10*c^3*d^9*abs(b) + 31500*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^10*b^9*c^2*d^10*abs(b) + 47880*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^11*b^8*c*d^11*abs(b) - 34650*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^12*b^7*d^12*abs(b) + 145530*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^17*c^11*abs(b) - 357210*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^16*c^10*d*abs(b) + 215166*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^15*c^9*d^2*abs(b) + 34146*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^14*c^8*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))^12*a^4*b^13*c^7*d^4*abs(b) + 47900*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^5*b^12*c^6*d^5*abs(b) + 70620*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^6*b^11*c^5*d^6*abs(b) - 241564*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^7*b^10*c^4*d^7*abs(b) + 365826*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^8*b^9*c^3*d^8*abs(b) - 42210*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^9*b^8*c^2*d^9*abs(b) - 11130*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^10*b^7*c*d^10*abs(b) + 34650*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^11*b^6*d^11*abs(b) - 103950*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^15*c^10*abs(b) + 187740*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^14*c^9*d*abs(b) - 18198*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^13*c^8*d^2*abs(b) - 39600*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^12*c^7*d^3*abs(b) - 27900*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b^11*c^6*d^4*abs(b) - 231000*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^5*b^10*c^5*d^5*abs(b) + 334020*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^6*b^9*c^4*d^6*abs(b) - 489648*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^7*b^8*c^3*d^7*abs(b) + 28170*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^8*b^7*c^2*d^8*abs(b) - 8100*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^9*b^6*c*d^9*abs(b) - 24750*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^10*b^5*d^10*abs(b) + 51975*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*b^13*c^9*abs(b) - 81585*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^12*c^8*d*abs(b) - 28260*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^2*b^11*c^7*d^2*abs(b) + 24300*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^3*b^10*c^6*d^3*abs(b) + 54450*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^4*b^9*c^5*d^4*abs(b) - 61230*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^5*b^8*c^4*d^5*abs(b) + 283500*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^6*b^7*c^3*d^6*abs(b) - 16740*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^7*b^6*c^2*d^7*abs(b) + 6975*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^8*b^5*c*d^8*abs(b) + 12375*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^9*b^4*d^9*abs(b) - 17325*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*b^11*c^8*abs(b) + 30240*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a*b^10*c^7*d*abs(b) + 12500*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^2*b^9*c^6*d^2*abs(b) - 24000*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^3*b^8*c^5*d^3*abs(b) - 31550*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^4*b^7*c^4*d^4*abs(b) - 53920*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^5*b^6*c^3*d^5*abs(b) + 7860*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^6*b^5*c^2*d^6*abs(b) - 1600*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^7*b^4*c*d^7*abs(b) - 4125*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^8*b^3*d^8*abs(b) + 3465*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^20*b^9*c^7*abs(b) - 8085*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^20*a*b^8*c^6*d*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))^20*a^2*b^7*c^5*d^2*abs(b) + 9075*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^20*a^3*b^6*c^4*d^3*abs(b) - 4125*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^20*a^4*b^5*c^3*d^4*abs(b) - 1815*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^20*a^5*b^4*c^2*d^5*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))^20*a^6*b^3*c*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))^20*a^7*b^2*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))^22*b^7*c^6*abs(b) + 1050*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a*b^6*c^5*d*abs(b) - 1125*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a^2*b^5*c^4*d^2*abs(b) + 300*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a^3*b^4*c^3*d^3*abs(b) + 75*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a^4*b^3*c^2*d^4*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))^22*a^5*b^2*c*d^5*abs(b) - 75*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a^6*b*d^6*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^6*a^5*c^3))/b","B",0
576,1,291,0,2.018784," ","integrate(x^3*(b*x+a)^(1/2)/(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^{4} d} - \frac{7 \, b^{13} c d^{5} + 17 \, a b^{12} d^{6}}{b^{16} d^{7}}\right)} + \frac{35 \, b^{14} c^{2} d^{4} + 50 \, a b^{13} c d^{5} + 59 \, a^{2} b^{12} d^{6}}{b^{16} d^{7}}\right)} - \frac{3 \, {\left(35 \, b^{15} c^{3} d^{3} + 15 \, a b^{14} c^{2} d^{4} + 9 \, a^{2} b^{13} c d^{5} + 5 \, a^{3} b^{12} d^{6}\right)}}{b^{16} d^{7}}\right)} \sqrt{b x + a} - \frac{3 \, {\left(35 \, b^{4} c^{4} - 20 \, a b^{3} c^{3} d - 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} - 5 \, 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^{3} 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^4*d) - (7*b^13*c*d^5 + 17*a*b^12*d^6)/(b^16*d^7)) + (35*b^14*c^2*d^4 + 50*a*b^13*c*d^5 + 59*a^2*b^12*d^6)/(b^16*d^7)) - 3*(35*b^15*c^3*d^3 + 15*a*b^14*c^2*d^4 + 9*a^2*b^13*c*d^5 + 5*a^3*b^12*d^6)/(b^16*d^7))*sqrt(b*x + a) - 3*(35*b^4*c^4 - 20*a*b^3*c^3*d - 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 - 5*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^3*d^4))*b/abs(b)","A",0
577,1,214,0,1.830535," ","integrate(x^2*(b*x+a)^(1/2)/(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^{3} d} - \frac{5 \, b^{7} c d^{3} + 7 \, a b^{6} d^{4}}{b^{9} d^{5}}\right)} + \frac{3 \, {\left(5 \, b^{8} c^{2} d^{2} + 2 \, a b^{7} c d^{3} + a^{2} b^{6} d^{4}\right)}}{b^{9} d^{5}}\right)} + \frac{3 \, {\left(5 \, b^{3} c^{3} - 3 \, a b^{2} c^{2} d - 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} b^{2} 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^3*d) - (5*b^7*c*d^3 + 7*a*b^6*d^4)/(b^9*d^5)) + 3*(5*b^8*c^2*d^2 + 2*a*b^7*c*d^3 + a^2*b^6*d^4)/(b^9*d^5)) + 3*(5*b^3*c^3 - 3*a*b^2*c^2*d - 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)*b^2*d^3))*b/abs(b)","A",0
578,1,149,0,1.764019," ","integrate(x*(b*x+a)^(1/2)/(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^{2} d} - \frac{3 \, b^{3} c d + a b^{2} d^{2}}{b^{4} d^{3}}\right)} - \frac{{\left(3 \, 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} b 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^2*d) - (3*b^3*c*d + a*b^2*d^2)/(b^4*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)*b*d^2))*b/abs(b)","A",0
579,1,97,0,1.584589," ","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
580,-2,0,0,0.000000," ","integrate((b*x+a)^(1/2)/x/(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
581,1,410,0,3.311285," ","integrate((b*x+a)^(1/2)/x^2/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{b {\left(\frac{{\left(\sqrt{b d} b^{2} c - \sqrt{b d} a b d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c} + \frac{2 \, {\left(\sqrt{b d} b^{4} c^{2} - 2 \, \sqrt{b d} a b^{3} c d + \sqrt{b d} a^{2} b^{2} d^{2} - \sqrt{b 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^{2} c - \sqrt{b 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 d\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} c}\right)}}{{\left| b \right|}}"," ",0,"-b*((sqrt(b*d)*b^2*c - sqrt(b*d)*a*b*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c) + 2*(sqrt(b*d)*b^4*c^2 - 2*sqrt(b*d)*a*b^3*c*d + sqrt(b*d)*a^2*b^2*d^2 - sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 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*d)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*c))/abs(b)","B",0
582,1,1043,0,4.002650," ","integrate((b*x+a)^(1/2)/x^3/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{b {\left(\frac{{\left(\sqrt{b d} b^{3} c^{2} + 2 \, \sqrt{b d} a b^{2} c d - 3 \, \sqrt{b d} a^{2} b d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b c^{2}} - \frac{2 \, {\left(\sqrt{b d} b^{9} c^{5} - 7 \, \sqrt{b d} a b^{8} c^{4} d + 18 \, \sqrt{b d} a^{2} b^{7} c^{3} d^{2} - 22 \, \sqrt{b d} a^{3} b^{6} c^{2} d^{3} + 13 \, \sqrt{b d} a^{4} b^{5} c d^{4} - 3 \, \sqrt{b d} a^{5} b^{4} d^{5} - 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^{7} c^{4} + 16 \, \sqrt{b 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 - 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)}^{2} a^{2} b^{5} c^{2} d^{2} - 8 \, \sqrt{b 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^{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} a^{4} b^{3} d^{4} + 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^{5} c^{3} - 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)}^{4} a b^{4} c^{2} d - 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^{2} b^{3} c d^{2} - 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^{3} b^{2} d^{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)}^{6} b^{3} c^{2} - 2 \, \sqrt{b 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 \, \sqrt{b 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^{2}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a c^{2}}\right)}}{4 \, {\left| b \right|}}"," ",0,"1/4*b*((sqrt(b*d)*b^3*c^2 + 2*sqrt(b*d)*a*b^2*c*d - 3*sqrt(b*d)*a^2*b*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^2) - 2*(sqrt(b*d)*b^9*c^5 - 7*sqrt(b*d)*a*b^8*c^4*d + 18*sqrt(b*d)*a^2*b^7*c^3*d^2 - 22*sqrt(b*d)*a^3*b^6*c^2*d^3 + 13*sqrt(b*d)*a^4*b^5*c*d^4 - 3*sqrt(b*d)*a^5*b^4*d^5 - 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^7*c^4 + 16*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 - 14*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^2 - 8*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^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*a^4*b^3*d^4 + 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^5*c^3 - 7*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*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^2 - 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^3*b^2*d^3 - 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 - 2*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*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^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a*c^2))/abs(b)","B",0
583,1,2134,0,30.456527," ","integrate((b*x+a)^(1/2)/x^4/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{b {\left(\frac{3 \, {\left(\sqrt{b d} b^{4} c^{3} + \sqrt{b d} a b^{3} c^{2} d + 3 \, \sqrt{b d} a^{2} b^{2} c d^{2} - 5 \, \sqrt{b d} a^{3} b d^{3}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b c^{3}} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{14} c^{8} - 14 \, \sqrt{b d} a b^{13} c^{7} d + 6 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} + 90 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} - 260 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} + 342 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} - 246 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} + 94 \, \sqrt{b d} a^{7} b^{7} c d^{7} - 15 \, \sqrt{b d} a^{8} b^{6} d^{8} - 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)}^{2} b^{12} c^{7} + 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^{11} c^{6} d + 141 \, \sqrt{b 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^{5} d^{2} - 399 \, \sqrt{b 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^{4} d^{3} + 291 \, \sqrt{b 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^{3} d^{4} + 111 \, \sqrt{b 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^{2} d^{5} - 225 \, \sqrt{b 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} c d^{6} + 75 \, \sqrt{b 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^{5} d^{7} + 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)}^{4} b^{10} c^{6} + 24 \, \sqrt{b 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^{5} d - 306 \, \sqrt{b 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^{4} 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)}^{4} a^{3} b^{7} c^{3} 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^{4} b^{6} c^{2} d^{4} + 120 \, \sqrt{b 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} c d^{5} - 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)}^{4} a^{6} b^{4} d^{6} - 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^{8} c^{5} - 58 \, \sqrt{b 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^{4} d + 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)}^{6} a^{2} b^{6} c^{3} d^{2} + 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)}^{6} a^{3} b^{5} c^{2} d^{3} + 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)}^{6} a^{4} b^{4} c d^{4} + 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)}^{6} a^{5} b^{3} d^{5} + 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)}^{8} b^{6} c^{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)}^{8} a b^{5} c^{3} d + 60 \, \sqrt{b 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^{2} 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)}^{8} a^{3} b^{3} c d^{3} - 75 \, \sqrt{b 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^{2} d^{4} - 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)}^{10} b^{4} c^{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)}^{10} a b^{3} c^{2} 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)}^{10} a^{2} b^{2} c d^{2} + 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)}^{10} a^{3} b d^{3}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a^{2} c^{3}}\right)}}{24 \, {\left| b \right|}}"," ",0,"-1/24*b*(3*(sqrt(b*d)*b^4*c^3 + sqrt(b*d)*a*b^3*c^2*d + 3*sqrt(b*d)*a^2*b^2*c*d^2 - 5*sqrt(b*d)*a^3*b*d^3)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c^3) - 2*(3*sqrt(b*d)*b^14*c^8 - 14*sqrt(b*d)*a*b^13*c^7*d + 6*sqrt(b*d)*a^2*b^12*c^6*d^2 + 90*sqrt(b*d)*a^3*b^11*c^5*d^3 - 260*sqrt(b*d)*a^4*b^10*c^4*d^4 + 342*sqrt(b*d)*a^5*b^9*c^3*d^5 - 246*sqrt(b*d)*a^6*b^8*c^2*d^6 + 94*sqrt(b*d)*a^7*b^7*c*d^7 - 15*sqrt(b*d)*a^8*b^6*d^8 - 15*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^7 + 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^11*c^6*d + 141*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^5*d^2 - 399*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^4*d^3 + 291*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^3*d^4 + 111*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^2*d^5 - 225*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*c*d^6 + 75*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^5*d^7 + 30*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^6 + 24*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^5*d - 306*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^4*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))^4*a^3*b^7*c^3*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^4*b^6*c^2*d^4 + 120*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*c*d^5 - 150*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^4*d^6 - 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^8*c^5 - 58*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^4*d + 108*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^3*d^2 + 36*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^2*d^3 + 50*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*c*d^4 + 150*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^3*d^5 + 15*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^4 + 30*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^3*d + 60*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^2*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))^8*a^3*b^3*c*d^3 - 75*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^2*d^4 - 3*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^3 - 3*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^2*d - 9*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*c*d^2 + 15*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*d^3)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a^2*c^3))/abs(b)","B",0
584,1,3690,0,11.570030," ","integrate((b*x+a)^(1/2)/x^5/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{b {\left(\frac{3 \, {\left(5 \, \sqrt{b d} b^{5} c^{4} + 4 \, \sqrt{b d} a b^{4} c^{3} d + 6 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} + 20 \, \sqrt{b d} a^{3} b^{2} c d^{3} - 35 \, \sqrt{b d} a^{4} b d^{4}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{3} b c^{4}} - \frac{2 \, {\left(15 \, \sqrt{b d} b^{19} c^{11} - 103 \, \sqrt{b d} a b^{18} c^{10} d + 309 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} - 669 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} + 1638 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} - 3990 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} + 7098 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} - 8394 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} + 6459 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} - 3123 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} + 865 \, \sqrt{b d} a^{10} b^{9} c d^{10} - 105 \, \sqrt{b d} a^{11} b^{8} d^{11} - 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)}^{2} b^{17} c^{10} + 386 \, \sqrt{b 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^{16} c^{9} d - 429 \, \sqrt{b 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^{15} c^{8} d^{2} + 1048 \, \sqrt{b 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^{14} c^{7} d^{3} - 4930 \, \sqrt{b 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^{13} c^{6} d^{4} + 9420 \, \sqrt{b 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^{12} c^{5} d^{5} - 6386 \, \sqrt{b 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^{11} c^{4} d^{6} - 2536 \, \sqrt{b 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^{10} c^{3} d^{7} + 6507 \, \sqrt{b 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^{9} c^{2} d^{8} - 3710 \, \sqrt{b 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^{9} b^{8} c d^{9} + 735 \, \sqrt{b 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^{10} b^{7} d^{10} + 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)}^{4} b^{15} c^{9} - 373 \, \sqrt{b 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^{14} c^{8} d - 68 \, \sqrt{b 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^{13} c^{7} d^{2} - 4308 \, \sqrt{b 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^{12} c^{6} d^{3} + 11162 \, \sqrt{b 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^{11} c^{5} d^{4} - 6998 \, \sqrt{b 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^{10} c^{4} 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)}^{4} a^{6} b^{9} c^{3} d^{6} - 2500 \, \sqrt{b 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^{8} c^{2} d^{7} + 5635 \, \sqrt{b 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^{8} b^{7} c d^{8} - 2205 \, \sqrt{b 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^{9} b^{6} d^{9} - 525 \, \sqrt{b 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^{13} c^{8} - 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)}^{6} a b^{12} c^{7} d - 468 \, \sqrt{b 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^{11} c^{6} d^{2} + 8016 \, \sqrt{b 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^{10} c^{5} d^{3} - 6102 \, \sqrt{b 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^{9} c^{4} d^{4} - 672 \, \sqrt{b 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^{8} c^{3} d^{5} - 804 \, \sqrt{b 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^{7} c^{2} d^{6} - 2800 \, \sqrt{b 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^{7} b^{6} c d^{7} + 3675 \, \sqrt{b 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^{8} b^{5} d^{8} + 525 \, \sqrt{b 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^{11} c^{7} + 895 \, \sqrt{b 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^{10} c^{6} d + 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^{2} b^{9} c^{5} d^{2} - 2569 \, \sqrt{b 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^{8} c^{4} d^{3} - 785 \, \sqrt{b 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^{7} c^{3} d^{4} - 795 \, \sqrt{b 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^{6} c^{2} d^{5} - 1225 \, \sqrt{b 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^{6} b^{5} c d^{6} - 3675 \, \sqrt{b 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^{7} b^{4} d^{7} - 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^{9} c^{6} - 662 \, \sqrt{b 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^{8} c^{5} d - 1021 \, \sqrt{b 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^{7} c^{4} d^{2} - 2004 \, \sqrt{b 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^{6} c^{3} d^{3} + 187 \, \sqrt{b 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^{5} c^{2} d^{4} + 1610 \, \sqrt{b 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^{5} b^{4} c d^{5} + 2205 \, \sqrt{b 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^{6} b^{3} d^{6} + 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^{7} c^{5} + 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)}^{12} a b^{6} c^{4} d + 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} a^{2} b^{5} c^{3} d^{2} + 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)}^{12} a^{3} b^{4} c^{2} 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)}^{12} a^{4} b^{3} c d^{4} - 735 \, \sqrt{b 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^{5} b^{2} d^{5} - 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)}^{14} b^{5} c^{4} - 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)}^{14} a b^{4} c^{3} d - 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)}^{14} a^{2} b^{3} c^{2} d^{2} - 60 \, \sqrt{b 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^{3} b^{2} c d^{3} + 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)}^{14} a^{4} b d^{4}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a^{3} c^{4}}\right)}}{192 \, {\left| b \right|}}"," ",0,"1/192*b*(3*(5*sqrt(b*d)*b^5*c^4 + 4*sqrt(b*d)*a*b^4*c^3*d + 6*sqrt(b*d)*a^2*b^3*c^2*d^2 + 20*sqrt(b*d)*a^3*b^2*c*d^3 - 35*sqrt(b*d)*a^4*b*d^4)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b*c^4) - 2*(15*sqrt(b*d)*b^19*c^11 - 103*sqrt(b*d)*a*b^18*c^10*d + 309*sqrt(b*d)*a^2*b^17*c^9*d^2 - 669*sqrt(b*d)*a^3*b^16*c^8*d^3 + 1638*sqrt(b*d)*a^4*b^15*c^7*d^4 - 3990*sqrt(b*d)*a^5*b^14*c^6*d^5 + 7098*sqrt(b*d)*a^6*b^13*c^5*d^6 - 8394*sqrt(b*d)*a^7*b^12*c^4*d^7 + 6459*sqrt(b*d)*a^8*b^11*c^3*d^8 - 3123*sqrt(b*d)*a^9*b^10*c^2*d^9 + 865*sqrt(b*d)*a^10*b^9*c*d^10 - 105*sqrt(b*d)*a^11*b^8*d^11 - 105*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^17*c^10 + 386*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^16*c^9*d - 429*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^15*c^8*d^2 + 1048*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^14*c^7*d^3 - 4930*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^13*c^6*d^4 + 9420*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^12*c^5*d^5 - 6386*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^11*c^4*d^6 - 2536*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^10*c^3*d^7 + 6507*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^9*c^2*d^8 - 3710*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9 + 735*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^10*b^7*d^10 + 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^15*c^9 - 373*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^14*c^8*d - 68*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^13*c^7*d^2 - 4308*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^12*c^6*d^3 + 11162*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^11*c^5*d^4 - 6998*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^10*c^4*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))^4*a^6*b^9*c^3*d^6 - 2500*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^8*c^2*d^7 + 5635*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*d^8 - 2205*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^9*b^6*d^9 - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^13*c^8 - 320*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^12*c^7*d - 468*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^11*c^6*d^2 + 8016*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^10*c^5*d^3 - 6102*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^9*c^4*d^4 - 672*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^8*c^3*d^5 - 804*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^7*c^2*d^6 - 2800*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*d^7 + 3675*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^5*d^8 + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^11*c^7 + 895*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^10*c^6*d + 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^2*b^9*c^5*d^2 - 2569*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^8*c^4*d^3 - 785*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^7*c^3*d^4 - 795*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^6*c^2*d^5 - 1225*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^5*c*d^6 - 3675*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^4*d^7 - 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^9*c^6 - 662*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^8*c^5*d - 1021*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^7*c^4*d^2 - 2004*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^6*c^3*d^3 + 187*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^5*c^2*d^4 + 1610*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*c*d^5 + 2205*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^6*b^3*d^6 + 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^7*c^5 + 189*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^6*c^4*d + 210*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^5*c^3*d^2 + 546*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^4*c^2*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))^12*a^4*b^3*c*d^4 - 735*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^5*b^2*d^5 - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^5*c^4 - 12*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^4*c^3*d - 18*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^3*c^2*d^2 - 60*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^2*c*d^3 + 105*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b*d^4)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a^3*c^4))/abs(b)","B",0
585,1,204,0,1.406015," ","integrate(x^2*(b*x+a)^(1/2)/(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)}}{d {\left| b \right|}} - \frac{5 \, b^{3} c d^{3} + 3 \, a b^{2} d^{4}}{b^{2} d^{5} {\left| b \right|}}\right)} - \frac{15 \, b^{4} c^{2} d^{2} - 6 \, a b^{3} c d^{3} - a^{2} b^{2} d^{4}}{b^{2} d^{5} {\left| b \right|}}\right)}}{4 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{{\left(15 \, b^{2} c^{2} - 6 \, 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)}{4 \, \sqrt{b d} d^{3} {\left| b \right|}}"," ",0,"1/4*sqrt(b*x + a)*((b*x + a)*(2*(b*x + a)/(d*abs(b)) - (5*b^3*c*d^3 + 3*a*b^2*d^4)/(b^2*d^5*abs(b))) - (15*b^4*c^2*d^2 - 6*a*b^3*c*d^3 - a^2*b^2*d^4)/(b^2*d^5*abs(b)))/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) - 1/4*(15*b^2*c^2 - 6*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^3*abs(b))","A",0
586,1,134,0,1.278516," ","integrate(x*(b*x+a)^(1/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{b x + a} {\left(\frac{{\left(b x + a\right)} {\left| b \right|}}{b d} + \frac{3 \, b^{2} c d {\left| b \right|} - a b d^{2} {\left| b \right|}}{b^{2} d^{3}}\right)}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} + \frac{{\left(3 \, b c {\left| b \right|} - 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|}\right)}{\sqrt{b d} b d^{2}}"," ",0,"sqrt(b*x + a)*((b*x + a)*abs(b)/(b*d) + (3*b^2*c*d*abs(b) - a*b*d^2*abs(b))/(b^2*d^3))/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) + (3*b*c*abs(b) - a*d*abs(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)*b*d^2)","A",0
587,1,96,0,1.275182," ","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
588,1,130,0,1.266013," ","integrate((b*x+a)^(1/2)/x/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b d} a b \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} c {\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} c {\left| b \right|}}"," ",0,"-2*sqrt(b*d)*a*b*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*c*abs(b)) + 2*sqrt(b*x + a)*b^2/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*c*abs(b))","B",0
589,1,457,0,6.207943," ","integrate((b*x+a)^(1/2)/x^2/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} b^{2} d}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} c^{2} {\left| b \right|}} - \frac{{\left(\sqrt{b d} b^{3} c - 3 \, \sqrt{b d} a b^{2} d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c^{2} {\left| b \right|}} - \frac{2 \, {\left(\sqrt{b d} b^{5} c^{2} - 2 \, \sqrt{b d} a b^{4} c d + \sqrt{b d} a^{2} b^{3} d^{2} - \sqrt{b 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 - \sqrt{b 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} d\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} c^{2} {\left| b \right|}}"," ",0,"-2*sqrt(b*x + a)*b^2*d/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*c^2*abs(b)) - (sqrt(b*d)*b^3*c - 3*sqrt(b*d)*a*b^2*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^2*abs(b)) - 2*(sqrt(b*d)*b^5*c^2 - 2*sqrt(b*d)*a*b^4*c*d + sqrt(b*d)*a^2*b^3*d^2 - 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 - 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*d)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*c^2*abs(b))","B",0
590,1,1092,0,15.394313," ","integrate((b*x+a)^(1/2)/x^3/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} b^{2} d^{2}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} c^{3} {\left| b \right|}} + \frac{{\left(\sqrt{b d} b^{4} c^{2} + 6 \, \sqrt{b d} a b^{3} c d - 15 \, \sqrt{b d} a^{2} b^{2} d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} a b c^{3} {\left| b \right|}} - \frac{\sqrt{b d} b^{10} c^{5} - 11 \, \sqrt{b d} a b^{9} c^{4} d + 34 \, \sqrt{b d} a^{2} b^{8} c^{3} d^{2} - 46 \, \sqrt{b d} a^{3} b^{7} c^{2} d^{3} + 29 \, \sqrt{b d} a^{4} b^{6} c d^{4} - 7 \, \sqrt{b d} a^{5} b^{5} d^{5} - 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^{8} c^{4} + 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 - 26 \, \sqrt{b 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^{2} - 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)}^{2} a^{3} b^{5} c 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^{4} b^{4} d^{4} + 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^{6} c^{3} - 19 \, \sqrt{b 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 - 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)}^{4} a^{2} b^{4} c d^{2} - 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^{3} b^{3} d^{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)}^{6} b^{4} c^{2} + 2 \, \sqrt{b 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 + 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)}^{6} a^{2} b^{2} d^{2}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a c^{3} {\left| b \right|}}"," ",0,"2*sqrt(b*x + a)*b^2*d^2/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*c^3*abs(b)) + 1/4*(sqrt(b*d)*b^4*c^2 + 6*sqrt(b*d)*a*b^3*c*d - 15*sqrt(b*d)*a^2*b^2*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^3*abs(b)) - 1/2*(sqrt(b*d)*b^10*c^5 - 11*sqrt(b*d)*a*b^9*c^4*d + 34*sqrt(b*d)*a^2*b^8*c^3*d^2 - 46*sqrt(b*d)*a^3*b^7*c^2*d^3 + 29*sqrt(b*d)*a^4*b^6*c*d^4 - 7*sqrt(b*d)*a^5*b^5*d^5 - 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^8*c^4 + 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 - 26*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^2 - 20*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^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^4*b^4*d^4 + 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^6*c^3 - 19*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 - 11*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^2 - 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^3*b^3*d^3 - 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 + 2*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 + 7*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^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a*c^3*abs(b))","B",0
591,1,407,0,1.857863," ","integrate(x^3*(b*x+a)^(1/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{{\left({\left(3 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(b^{5} c d^{6} {\left| b \right|} - a b^{4} d^{7} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{6} c d^{7} - a b^{5} d^{8}} - \frac{7 \, b^{6} c^{2} d^{5} {\left| b \right|} - 2 \, a b^{5} c d^{6} {\left| b \right|} - 5 \, a^{2} b^{4} d^{7} {\left| b \right|}}{b^{6} c d^{7} - a b^{5} d^{8}}\right)} - \frac{4 \, {\left(35 \, b^{7} c^{3} d^{4} {\left| b \right|} - 45 \, a b^{6} c^{2} d^{5} {\left| b \right|} + 9 \, a^{2} b^{5} c d^{6} {\left| b \right|} + 3 \, a^{3} b^{4} d^{7} {\left| b \right|}\right)}}{b^{6} c d^{7} - a b^{5} d^{8}}\right)} {\left(b x + a\right)} - \frac{3 \, {\left(35 \, b^{8} c^{4} d^{3} {\left| b \right|} - 80 \, a b^{7} c^{3} d^{4} {\left| b \right|} + 54 \, a^{2} b^{6} c^{2} d^{5} {\left| b \right|} - 8 \, a^{3} b^{5} c d^{6} {\left| b \right|} - a^{4} b^{4} d^{7} {\left| b \right|}\right)}}{b^{6} c d^{7} - a b^{5} d^{8}}\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{{\left(35 \, b^{2} c^{2} {\left| b \right|} - 10 \, a b c d {\left| b \right|} - 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|}\right)}{4 \, \sqrt{b d} b^{2} d^{4}}"," ",0,"1/12*((3*(b*x + a)*(2*(b^5*c*d^6*abs(b) - a*b^4*d^7*abs(b))*(b*x + a)/(b^6*c*d^7 - a*b^5*d^8) - (7*b^6*c^2*d^5*abs(b) - 2*a*b^5*c*d^6*abs(b) - 5*a^2*b^4*d^7*abs(b))/(b^6*c*d^7 - a*b^5*d^8)) - 4*(35*b^7*c^3*d^4*abs(b) - 45*a*b^6*c^2*d^5*abs(b) + 9*a^2*b^5*c*d^6*abs(b) + 3*a^3*b^4*d^7*abs(b))/(b^6*c*d^7 - a*b^5*d^8))*(b*x + a) - 3*(35*b^8*c^4*d^3*abs(b) - 80*a*b^7*c^3*d^4*abs(b) + 54*a^2*b^6*c^2*d^5*abs(b) - 8*a^3*b^5*c*d^6*abs(b) - a^4*b^4*d^7*abs(b))/(b^6*c*d^7 - a*b^5*d^8))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 1/4*(35*b^2*c^2*abs(b) - 10*a*b*c*d*abs(b) - a^2*d^2*abs(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)*b^2*d^4)","B",0
592,1,283,0,1.707414," ","integrate(x^2*(b*x+a)^(1/2)/(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^{4} c d^{5} {\left| b \right|} - a b^{3} d^{6} {\left| b \right|}} + \frac{2 \, {\left(10 \, b^{7} c^{2} d^{3} - 12 \, a b^{6} c d^{4} + 3 \, a^{2} b^{5} d^{5}\right)}}{b^{4} c d^{5} {\left| b \right|} - a b^{3} d^{6} {\left| b \right|}}\right)} + \frac{3 \, {\left(5 \, b^{8} c^{3} d^{2} - 11 \, a b^{7} c^{2} d^{3} + 7 \, a^{2} b^{6} c d^{4} - a^{3} b^{5} d^{5}\right)}}{b^{4} c d^{5} {\left| b \right|} - a b^{3} 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{{\left(5 \, 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} 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^4*c*d^5*abs(b) - a*b^3*d^6*abs(b)) + 2*(10*b^7*c^2*d^3 - 12*a*b^6*c*d^4 + 3*a^2*b^5*d^5)/(b^4*c*d^5*abs(b) - a*b^3*d^6*abs(b))) + 3*(5*b^8*c^3*d^2 - 11*a*b^7*c^2*d^3 + 7*a^2*b^6*c*d^4 - a^3*b^5*d^5)/(b^4*c*d^5*abs(b) - a*b^3*d^6*abs(b)))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + (5*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)*d^3*abs(b))","B",0
593,1,188,0,1.455421," ","integrate(x*(b*x+a)^(1/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(4 \, b^{4} c d^{2} {\left| b \right|} - 3 \, a b^{3} d^{3} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{3} c d^{3} - a b^{2} d^{4}} + \frac{3 \, {\left(b^{5} c^{2} d {\left| b \right|} - 2 \, a b^{4} c d^{2} {\left| b \right|} + a^{2} b^{3} d^{3} {\left| b \right|}\right)}}{b^{3} c d^{3} - a b^{2} d^{4}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{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|}\right)}{\sqrt{b d} d^{2}}"," ",0,"-2/3*sqrt(b*x + a)*((4*b^4*c*d^2*abs(b) - 3*a*b^3*d^3*abs(b))*(b*x + a)/(b^3*c*d^3 - a*b^2*d^4) + 3*(b^5*c^2*d*abs(b) - 2*a*b^4*c*d^2*abs(b) + a^2*b^3*d^3*abs(b))/(b^3*c*d^3 - a*b^2*d^4))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 2*abs(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)*d^2)","B",0
594,1,51,0,1.187134," ","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
595,1,243,0,1.610253," ","integrate((b*x+a)^(1/2)/x/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(2 \, b^{4} c^{3} d^{2} {\left| b \right|} - 3 \, a b^{3} c^{2} d^{3} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{3} c^{5} d - a b^{2} c^{4} d^{2}} + \frac{3 \, {\left(b^{5} c^{4} d {\left| b \right|} - 2 \, a b^{4} c^{3} d^{2} {\left| b \right|} + a^{2} b^{3} c^{2} d^{3} {\left| b \right|}\right)}}{b^{3} c^{5} d - a b^{2} c^{4} d^{2}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{2 \, \sqrt{b d} a b \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} c^{2} {\left| b \right|}}"," ",0,"2/3*sqrt(b*x + a)*((2*b^4*c^3*d^2*abs(b) - 3*a*b^3*c^2*d^3*abs(b))*(b*x + a)/(b^3*c^5*d - a*b^2*c^4*d^2) + 3*(b^5*c^4*d*abs(b) - 2*a*b^4*c^3*d^2*abs(b) + a^2*b^3*c^2*d^3*abs(b))/(b^3*c^5*d - a*b^2*c^4*d^2))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 2*sqrt(b*d)*a*b*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*c^2*abs(b))","B",0
596,1,571,0,6.990477," ","integrate((b*x+a)^(1/2)/x^2/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(5 \, b^{4} c^{4} d^{3} {\left| b \right|} - 6 \, a b^{3} c^{3} d^{4} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{3} c^{7} d - a b^{2} c^{6} d^{2}} + \frac{6 \, {\left(b^{5} c^{5} d^{2} {\left| b \right|} - 2 \, a b^{4} c^{4} d^{3} {\left| b \right|} + a^{2} b^{3} c^{3} d^{4} {\left| b \right|}\right)}}{b^{3} c^{7} d - a b^{2} c^{6} d^{2}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{{\left(\sqrt{b d} b^{3} c - 5 \, \sqrt{b d} a b^{2} d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c^{3} {\left| b \right|}} - \frac{2 \, {\left(\sqrt{b d} b^{5} c^{2} - 2 \, \sqrt{b d} a b^{4} c d + \sqrt{b d} a^{2} b^{3} d^{2} - \sqrt{b 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 - \sqrt{b 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} d\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} c^{3} {\left| b \right|}}"," ",0,"-2/3*sqrt(b*x + a)*((5*b^4*c^4*d^3*abs(b) - 6*a*b^3*c^3*d^4*abs(b))*(b*x + a)/(b^3*c^7*d - a*b^2*c^6*d^2) + 6*(b^5*c^5*d^2*abs(b) - 2*a*b^4*c^4*d^3*abs(b) + a^2*b^3*c^3*d^4*abs(b))/(b^3*c^7*d - a*b^2*c^6*d^2))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - (sqrt(b*d)*b^3*c - 5*sqrt(b*d)*a*b^2*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^3*abs(b)) - 2*(sqrt(b*d)*b^5*c^2 - 2*sqrt(b*d)*a*b^4*c*d + sqrt(b*d)*a^2*b^3*d^2 - 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 - 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*d)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*c^3*abs(b))","B",0
597,1,1204,0,9.293229," ","integrate((b*x+a)^(1/2)/x^3/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(8 \, b^{4} c^{5} d^{4} {\left| b \right|} - 9 \, a b^{3} c^{4} d^{5} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{3} c^{9} d - a b^{2} c^{8} d^{2}} + \frac{9 \, {\left(b^{5} c^{6} d^{3} {\left| b \right|} - 2 \, a b^{4} c^{5} d^{4} {\left| b \right|} + a^{2} b^{3} c^{4} d^{5} {\left| b \right|}\right)}}{b^{3} c^{9} d - a b^{2} c^{8} d^{2}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} + \frac{{\left(\sqrt{b d} b^{4} c^{2} + 10 \, \sqrt{b d} a b^{3} c d - 35 \, \sqrt{b d} a^{2} b^{2} d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} a b c^{4} {\left| b \right|}} - \frac{\sqrt{b d} b^{10} c^{5} - 15 \, \sqrt{b d} a b^{9} c^{4} d + 50 \, \sqrt{b d} a^{2} b^{8} c^{3} d^{2} - 70 \, \sqrt{b d} a^{3} b^{7} c^{2} d^{3} + 45 \, \sqrt{b d} a^{4} b^{6} c d^{4} - 11 \, \sqrt{b d} a^{5} b^{5} d^{5} - 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^{8} c^{4} + 40 \, \sqrt{b 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 - 38 \, \sqrt{b 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^{2} - 32 \, \sqrt{b 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^{3} + 33 \, \sqrt{b 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^{4} + 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^{6} c^{3} - 31 \, \sqrt{b 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 - 19 \, \sqrt{b 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^{2} - 33 \, \sqrt{b 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^{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)}^{6} b^{4} c^{2} + 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)}^{6} a b^{3} c d + 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)}^{6} a^{2} b^{2} d^{2}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a c^{4} {\left| b \right|}}"," ",0,"2/3*sqrt(b*x + a)*((8*b^4*c^5*d^4*abs(b) - 9*a*b^3*c^4*d^5*abs(b))*(b*x + a)/(b^3*c^9*d - a*b^2*c^8*d^2) + 9*(b^5*c^6*d^3*abs(b) - 2*a*b^4*c^5*d^4*abs(b) + a^2*b^3*c^4*d^5*abs(b))/(b^3*c^9*d - a*b^2*c^8*d^2))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + 1/4*(sqrt(b*d)*b^4*c^2 + 10*sqrt(b*d)*a*b^3*c*d - 35*sqrt(b*d)*a^2*b^2*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^4*abs(b)) - 1/2*(sqrt(b*d)*b^10*c^5 - 15*sqrt(b*d)*a*b^9*c^4*d + 50*sqrt(b*d)*a^2*b^8*c^3*d^2 - 70*sqrt(b*d)*a^3*b^7*c^2*d^3 + 45*sqrt(b*d)*a^4*b^6*c*d^4 - 11*sqrt(b*d)*a^5*b^5*d^5 - 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^8*c^4 + 40*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 - 38*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^2 - 32*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^3 + 33*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^4 + 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^6*c^3 - 31*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 - 19*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^2 - 33*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^3 - 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 + 6*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 + 11*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^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a*c^4*abs(b))","B",0
598,1,878,0,1.659434," ","integrate(x^2*(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} {\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)} {\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} {\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 {\left| b \right|}}{b}}{1920 \, b}"," ",0,"1/1920*((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))*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*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*abs(b)/b)/b","B",0
599,1,632,0,1.580675," ","integrate(x*(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} {\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)} {\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 {\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)} a^{2} {\left| b \right|}}{b^{3}}}{192 \, b}"," ",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^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))*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*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))*a^2*abs(b)/b^3)/b","B",0
600,1,438,0,1.195522," ","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
601,-2,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/2)/x,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
602,1,525,0,2.388003," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/2)/x^2,x, algorithm=""giac"")","\frac{2 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} {\left| b \right|} - \frac{{\left(\sqrt{b d} b c {\left| b \right|} + 3 \, \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)}{d} - \frac{2 \, {\left(3 \, \sqrt{b d} a b^{2} c {\left| b \right|} + \sqrt{b d} a^{2} b d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{4 \, {\left(\sqrt{b d} a b^{4} c^{2} {\left| b \right|} - 2 \, \sqrt{b d} a^{2} b^{3} c d {\left| b \right|} + \sqrt{b d} a^{3} b^{2} d^{2} {\left| b \right|} - \sqrt{b 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 {\left| b \right|} - \sqrt{b 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 {\left| b \right|}\right)}}{b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4}}}{2 \, b}"," ",0,"1/2*(2*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*abs(b) - (sqrt(b*d)*b*c*abs(b) + 3*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)/d - 2*(3*sqrt(b*d)*a*b^2*c*abs(b) + sqrt(b*d)*a^2*b*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 4*(sqrt(b*d)*a*b^4*c^2*abs(b) - 2*sqrt(b*d)*a^2*b^3*c*d*abs(b) + sqrt(b*d)*a^3*b^2*d^2*abs(b) - 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*abs(b) - 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*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4))/b","B",0
603,1,1127,0,11.361048," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/2)/x^3,x, algorithm=""giac"")","-\frac{4 \, \sqrt{b d} b {\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) + \frac{{\left(3 \, \sqrt{b d} b^{3} c^{2} {\left| b \right|} + 6 \, \sqrt{b d} a b^{2} c d {\left| b \right|} - \sqrt{b d} a^{2} b d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c} + \frac{2 \, {\left(5 \, \sqrt{b d} b^{9} c^{5} {\left| b \right|} - 19 \, \sqrt{b d} a b^{8} c^{4} d {\left| b \right|} + 26 \, \sqrt{b d} a^{2} b^{7} c^{3} d^{2} {\left| b \right|} - 14 \, \sqrt{b d} a^{3} b^{6} c^{2} d^{3} {\left| b \right|} + \sqrt{b d} a^{4} b^{5} c d^{4} {\left| b \right|} + \sqrt{b d} a^{5} b^{4} d^{5} {\left| b \right|} - 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)}^{2} b^{7} c^{4} {\left| b \right|} + 16 \, \sqrt{b 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 {\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)}^{2} a^{2} b^{5} c^{2} d^{2} {\left| b \right|} - 8 \, \sqrt{b 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^{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)}^{2} a^{4} b^{3} d^{4} {\left| b \right|} + 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)}^{4} b^{5} c^{3} {\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)}^{4} a b^{4} c^{2} d {\left| b \right|} + 17 \, \sqrt{b 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^{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)}^{4} a^{3} b^{2} d^{3} {\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)}^{6} b^{3} c^{2} {\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)}^{6} a b^{2} c d {\left| b \right|} - \sqrt{b 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^{2} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} c}}{4 \, b}"," ",0,"-1/4*(4*sqrt(b*d)*b*abs(b)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2) + (3*sqrt(b*d)*b^3*c^2*abs(b) + 6*sqrt(b*d)*a*b^2*c*d*abs(b) - sqrt(b*d)*a^2*b*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c) + 2*(5*sqrt(b*d)*b^9*c^5*abs(b) - 19*sqrt(b*d)*a*b^8*c^4*d*abs(b) + 26*sqrt(b*d)*a^2*b^7*c^3*d^2*abs(b) - 14*sqrt(b*d)*a^3*b^6*c^2*d^3*abs(b) + sqrt(b*d)*a^4*b^5*c*d^4*abs(b) + sqrt(b*d)*a^5*b^4*d^5*abs(b) - 15*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*abs(b) + 16*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*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))^2*a^2*b^5*c^2*d^2*abs(b) - 8*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^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))^2*a^4*b^3*d^4*abs(b) + 15*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*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))^4*a*b^4*c^2*d*abs(b) + 17*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^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))^4*a^3*b^2*d^3*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))^6*b^3*c^2*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))^6*a*b^2*c*d*abs(b) - 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^2*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*c))/b","B",0
604,1,2163,0,31.203587," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/2)/x^4,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(\sqrt{b d} b^{4} c^{3} {\left| b \right|} - 3 \, \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} + 3 \, \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} - \sqrt{b d} a^{3} b d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b c^{2}} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{14} c^{8} {\left| b \right|} - 10 \, \sqrt{b d} a b^{13} c^{7} d {\left| b \right|} - 6 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} {\left| b \right|} + 78 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} {\left| b \right|} - 160 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} {\left| b \right|} + 162 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} {\left| b \right|} - 90 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} {\left| b \right|} + 26 \, \sqrt{b d} a^{7} b^{7} c d^{7} {\left| b \right|} - 3 \, \sqrt{b d} a^{8} b^{6} d^{8} {\left| b \right|} - 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)}^{2} b^{12} c^{7} {\left| b \right|} + 33 \, \sqrt{b 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^{6} 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)}^{2} a^{2} b^{10} c^{5} 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^{3} b^{9} c^{4} d^{3} {\left| b \right|} - 93 \, \sqrt{b 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^{3} d^{4} {\left| b \right|} + 147 \, \sqrt{b 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^{2} d^{5} {\left| b \right|} - 81 \, \sqrt{b 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} c d^{6} {\left| b \right|} + 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)}^{2} a^{7} b^{5} d^{7} {\left| b \right|} + 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)}^{4} b^{10} c^{6} {\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)}^{4} a^{2} b^{8} c^{4} d^{2} {\left| b \right|} - 96 \, \sqrt{b 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^{3} d^{3} {\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)}^{4} a^{4} b^{6} c^{2} d^{4} {\left| b \right|} + 96 \, \sqrt{b 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} c d^{5} {\left| b \right|} - 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)}^{4} a^{6} b^{4} d^{6} {\left| b \right|} - 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^{8} c^{5} {\left| b \right|} - 98 \, \sqrt{b 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^{4} 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)}^{6} a^{2} b^{6} c^{3} d^{2} {\left| b \right|} - 60 \, \sqrt{b 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^{2} d^{3} {\left| b \right|} - 62 \, \sqrt{b 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} c d^{4} {\left| b \right|} + 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^{5} b^{3} d^{5} {\left| b \right|} + 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)}^{8} b^{6} c^{4} {\left| b \right|} + 114 \, \sqrt{b 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^{3} d {\left| b \right|} + 48 \, \sqrt{b 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^{2} d^{2} {\left| b \right|} + 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)}^{8} a^{3} b^{3} c d^{3} {\left| b \right|} - 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)}^{8} a^{4} 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)}^{10} b^{4} c^{3} {\left| b \right|} - 39 \, \sqrt{b 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^{2} d {\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)}^{10} a^{2} 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)}^{10} a^{3} b d^{3} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a c^{2}}}{24 \, b}"," ",0,"1/24*(3*(sqrt(b*d)*b^4*c^3*abs(b) - 3*sqrt(b*d)*a*b^3*c^2*d*abs(b) + 3*sqrt(b*d)*a^2*b^2*c*d^2*abs(b) - sqrt(b*d)*a^3*b*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^2) - 2*(3*sqrt(b*d)*b^14*c^8*abs(b) - 10*sqrt(b*d)*a*b^13*c^7*d*abs(b) - 6*sqrt(b*d)*a^2*b^12*c^6*d^2*abs(b) + 78*sqrt(b*d)*a^3*b^11*c^5*d^3*abs(b) - 160*sqrt(b*d)*a^4*b^10*c^4*d^4*abs(b) + 162*sqrt(b*d)*a^5*b^9*c^3*d^5*abs(b) - 90*sqrt(b*d)*a^6*b^8*c^2*d^6*abs(b) + 26*sqrt(b*d)*a^7*b^7*c*d^7*abs(b) - 3*sqrt(b*d)*a^8*b^6*d^8*abs(b) - 15*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^7*abs(b) + 33*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^6*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))^2*a^2*b^10*c^5*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^3*b^9*c^4*d^3*abs(b) - 93*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^3*d^4*abs(b) + 147*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^2*d^5*abs(b) - 81*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*c*d^6*abs(b) + 15*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^5*d^7*abs(b) + 30*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^6*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))^4*a^2*b^8*c^4*d^2*abs(b) - 96*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^3*d^3*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))^4*a^4*b^6*c^2*d^4*abs(b) + 96*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*c*d^5*abs(b) - 30*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^4*d^6*abs(b) - 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^8*c^5*abs(b) - 98*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^4*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))^6*a^2*b^6*c^3*d^2*abs(b) - 60*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^2*d^3*abs(b) - 62*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*c*d^4*abs(b) + 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^5*b^3*d^5*abs(b) + 15*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^4*abs(b) + 114*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^3*d*abs(b) + 48*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^2*d^2*abs(b) + 30*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*c*d^3*abs(b) - 15*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^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))^10*b^4*c^3*abs(b) - 39*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^2*d*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))^10*a^2*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))^10*a^3*b*d^3*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a*c^2))/b","B",0
605,1,3834,0,12.787080," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/2)/x^5,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(3 \, \sqrt{b d} b^{5} c^{4} {\left| b \right|} - 4 \, \sqrt{b d} a b^{4} c^{3} d {\left| b \right|} - 6 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} + 12 \, \sqrt{b d} a^{3} b^{2} c d^{3} {\left| b \right|} - 5 \, \sqrt{b d} a^{4} b d^{4} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b c^{3}} - \frac{2 \, {\left(9 \, \sqrt{b d} b^{19} c^{11} {\left| b \right|} - 81 \, \sqrt{b d} a b^{18} c^{10} d {\left| b \right|} + 355 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} {\left| b \right|} - 1019 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} {\left| b \right|} + 2122 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} {\left| b \right|} - 3290 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} {\left| b \right|} + 3766 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} {\left| b \right|} - 3110 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} {\left| b \right|} + 1789 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} {\left| b \right|} - 677 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} {\left| b \right|} + 151 \, \sqrt{b d} a^{10} b^{9} c d^{10} {\left| b \right|} - 15 \, \sqrt{b d} a^{11} b^{8} d^{11} {\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)}^{2} b^{17} c^{10} {\left| b \right|} + 366 \, \sqrt{b 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^{16} c^{9} d {\left| b \right|} - 1067 \, \sqrt{b 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^{15} c^{8} d^{2} {\left| b \right|} + 2152 \, \sqrt{b 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^{14} c^{7} d^{3} {\left| b \right|} - 2958 \, \sqrt{b 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^{13} c^{6} d^{4} {\left| b \right|} + 2068 \, \sqrt{b 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^{12} c^{5} d^{5} {\left| b \right|} + 514 \, \sqrt{b 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^{11} c^{4} d^{6} {\left| b \right|} - 2328 \, \sqrt{b 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^{10} c^{3} d^{7} {\left| b \right|} + 1933 \, \sqrt{b 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^{9} c^{2} d^{8} {\left| b \right|} - 722 \, \sqrt{b 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^{9} b^{8} c d^{9} {\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)}^{2} a^{10} b^{7} d^{10} {\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)}^{4} b^{15} c^{9} {\left| b \right|} - 627 \, \sqrt{b 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^{14} c^{8} d {\left| b \right|} + 820 \, \sqrt{b 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^{13} c^{7} d^{2} {\left| b \right|} - 348 \, \sqrt{b 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^{12} c^{6} d^{3} {\left| b \right|} - 762 \, \sqrt{b 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^{11} c^{5} d^{4} {\left| b \right|} + 1174 \, \sqrt{b 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^{10} c^{4} d^{5} {\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^{6} b^{9} c^{3} d^{6} {\left| b \right|} - 1932 \, \sqrt{b 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^{8} c^{2} d^{7} {\left| b \right|} + 1381 \, \sqrt{b 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^{8} b^{7} c d^{8} {\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)}^{4} a^{9} b^{6} d^{9} {\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)}^{6} b^{13} c^{8} {\left| b \right|} + 480 \, \sqrt{b 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^{12} c^{7} d {\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)}^{6} a^{2} b^{11} c^{6} d^{2} {\left| b \right|} - 976 \, \sqrt{b 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^{10} c^{5} d^{3} {\left| b \right|} + 1910 \, \sqrt{b 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^{9} c^{4} d^{4} {\left| b \right|} - 832 \, \sqrt{b 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^{8} c^{3} d^{5} {\left| b \right|} + 788 \, \sqrt{b 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^{7} c^{2} d^{6} {\left| b \right|} - 1360 \, \sqrt{b 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^{7} b^{6} c d^{7} {\left| b \right|} + 525 \, \sqrt{b 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^{8} b^{5} d^{8} {\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)}^{8} b^{11} c^{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)}^{8} a b^{10} c^{6} d {\left| b \right|} + 1067 \, \sqrt{b 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^{9} c^{5} d^{2} {\left| b \right|} + 113 \, \sqrt{b 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^{8} c^{4} d^{3} {\left| b \right|} + 393 \, \sqrt{b 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^{7} c^{3} 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^{5} b^{6} c^{2} d^{5} {\left| b \right|} + 785 \, \sqrt{b 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^{6} b^{5} c d^{6} {\left| b \right|} - 525 \, \sqrt{b 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^{7} b^{4} 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)}^{10} b^{9} c^{6} {\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)}^{10} a b^{8} c^{5} d {\left| b \right|} - 1531 \, \sqrt{b 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^{7} c^{4} d^{2} {\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)}^{10} a^{3} b^{6} c^{3} d^{3} {\left| b \right|} - 291 \, \sqrt{b 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^{5} c^{2} d^{4} {\left| b \right|} - 346 \, \sqrt{b 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^{5} b^{4} 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^{6} b^{3} d^{6} {\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)}^{12} b^{7} c^{5} {\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)}^{12} a b^{6} c^{4} d {\left| b \right|} + 558 \, \sqrt{b 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^{5} c^{3} d^{2} {\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)}^{12} a^{3} b^{4} c^{2} d^{3} {\left| b \right|} + 147 \, \sqrt{b 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^{4} b^{3} 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^{5} b^{2} d^{5} {\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)}^{14} b^{5} c^{4} {\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)}^{14} a b^{4} c^{3} 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)}^{14} a^{2} 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)}^{14} a^{3} b^{2} c d^{3} {\left| b \right|} + 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)}^{14} a^{4} b d^{4} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a^{2} c^{3}}}{192 \, b}"," ",0,"-1/192*(3*(3*sqrt(b*d)*b^5*c^4*abs(b) - 4*sqrt(b*d)*a*b^4*c^3*d*abs(b) - 6*sqrt(b*d)*a^2*b^3*c^2*d^2*abs(b) + 12*sqrt(b*d)*a^3*b^2*c*d^3*abs(b) - 5*sqrt(b*d)*a^4*b*d^4*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c^3) - 2*(9*sqrt(b*d)*b^19*c^11*abs(b) - 81*sqrt(b*d)*a*b^18*c^10*d*abs(b) + 355*sqrt(b*d)*a^2*b^17*c^9*d^2*abs(b) - 1019*sqrt(b*d)*a^3*b^16*c^8*d^3*abs(b) + 2122*sqrt(b*d)*a^4*b^15*c^7*d^4*abs(b) - 3290*sqrt(b*d)*a^5*b^14*c^6*d^5*abs(b) + 3766*sqrt(b*d)*a^6*b^13*c^5*d^6*abs(b) - 3110*sqrt(b*d)*a^7*b^12*c^4*d^7*abs(b) + 1789*sqrt(b*d)*a^8*b^11*c^3*d^8*abs(b) - 677*sqrt(b*d)*a^9*b^10*c^2*d^9*abs(b) + 151*sqrt(b*d)*a^10*b^9*c*d^10*abs(b) - 15*sqrt(b*d)*a^11*b^8*d^11*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))^2*b^17*c^10*abs(b) + 366*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^16*c^9*d*abs(b) - 1067*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^15*c^8*d^2*abs(b) + 2152*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^14*c^7*d^3*abs(b) - 2958*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^13*c^6*d^4*abs(b) + 2068*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^12*c^5*d^5*abs(b) + 514*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^11*c^4*d^6*abs(b) - 2328*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^10*c^3*d^7*abs(b) + 1933*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^9*c^2*d^8*abs(b) - 722*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9*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))^2*a^10*b^7*d^10*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))^4*b^15*c^9*abs(b) - 627*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^14*c^8*d*abs(b) + 820*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^13*c^7*d^2*abs(b) - 348*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^12*c^6*d^3*abs(b) - 762*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^11*c^5*d^4*abs(b) + 1174*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^10*c^4*d^5*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^6*b^9*c^3*d^6*abs(b) - 1932*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^8*c^2*d^7*abs(b) + 1381*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*d^8*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))^4*a^9*b^6*d^9*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))^6*b^13*c^8*abs(b) + 480*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^12*c^7*d*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))^6*a^2*b^11*c^6*d^2*abs(b) - 976*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^10*c^5*d^3*abs(b) + 1910*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^9*c^4*d^4*abs(b) - 832*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^8*c^3*d^5*abs(b) + 788*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^7*c^2*d^6*abs(b) - 1360*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*d^7*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^5*d^8*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))^8*b^11*c^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))^8*a*b^10*c^6*d*abs(b) + 1067*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^9*c^5*d^2*abs(b) + 113*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^8*c^4*d^3*abs(b) + 393*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^7*c^3*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^5*b^6*c^2*d^5*abs(b) + 785*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^5*c*d^6*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^4*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))^10*b^9*c^6*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))^10*a*b^8*c^5*d*abs(b) - 1531*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^7*c^4*d^2*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))^10*a^3*b^6*c^3*d^3*abs(b) - 291*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^5*c^2*d^4*abs(b) - 346*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*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^6*b^3*d^6*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))^12*b^7*c^5*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))^12*a*b^6*c^4*d*abs(b) + 558*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^5*c^3*d^2*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))^12*a^3*b^4*c^2*d^3*abs(b) + 147*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^3*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^5*b^2*d^5*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))^14*b^5*c^4*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))^14*a*b^4*c^3*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))^14*a^2*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))^14*a^3*b^2*c*d^3*abs(b) + 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b*d^4*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a^2*c^3))/b","B",0
606,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(1/2)/x^6,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
607,1,2032,0,3.919652," ","integrate(x^2*(b*x+a)^(3/2)*(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{4 \, {\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)} c {\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^{2} c {\left| b \right|}}{b^{2}} + \frac{80 \, {\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 {\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)} d {\left| b \right|} + \frac{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^{2} d {\left| b \right|}}{b^{2}} + \frac{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)} a d {\left| b \right|}}{b}}{7680 \, b}"," ",0,"1/7680*(4*(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))*c*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^2*c*abs(b)/b^2 + 80*(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*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))*d*abs(b) + 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^2*d*abs(b)/b^2 + 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))*a*d*abs(b)/b)/b","B",0
608,1,1511,0,3.531882," ","integrate(x*(b*x+a)^(3/2)*(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{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)} c {\left| b \right|} + \frac{160 \, {\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|}}{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 {\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 {\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 {\left| b \right|}}{b} + \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^{2} c {\left| b \right|}}{b^{3}}}{1920 \, b}"," ",0,"1/1920*(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))*c*abs(b) + 160*(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)/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*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*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*abs(b)/b + 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^2*c*abs(b)/b^3)/b","B",0
609,1,1071,0,2.956723," ","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
610,-2,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(3/2)/x,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.7"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
611,1,593,0,4.063675," ","integrate((b*x+a)^(3/2)*(d*x+c)^(3/2)/x^2,x, algorithm=""giac"")","\frac{2 \, \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 {\left| b \right|}}{b} + \frac{5 \, b c d^{2} {\left| b \right|} + 3 \, a d^{3} {\left| b \right|}}{b d^{2}}\right)} - \frac{24 \, {\left(\sqrt{b d} a b^{2} c^{2} {\left| b \right|} + \sqrt{b d} a^{2} b c d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{16 \, {\left(\sqrt{b d} a b^{4} c^{3} {\left| b \right|} - 2 \, \sqrt{b d} a^{2} b^{3} c^{2} d {\left| b \right|} + \sqrt{b d} a^{3} b^{2} c d^{2} {\left| b \right|} - \sqrt{b 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^{2} {\left| b \right|} - \sqrt{b 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 c d {\left| b \right|}\right)}}{b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4}} - \frac{3 \, {\left(\sqrt{b d} b^{2} c^{2} {\left| b \right|} + 6 \, \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)}{b d}}{8 \, b}"," ",0,"1/8*(2*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*d*abs(b)/b + (5*b*c*d^2*abs(b) + 3*a*d^3*abs(b))/(b*d^2)) - 24*(sqrt(b*d)*a*b^2*c^2*abs(b) + sqrt(b*d)*a^2*b*c*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 16*(sqrt(b*d)*a*b^4*c^3*abs(b) - 2*sqrt(b*d)*a^2*b^3*c^2*d*abs(b) + sqrt(b*d)*a^3*b^2*c*d^2*abs(b) - 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^2*abs(b) - 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*c*d*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4) - 3*(sqrt(b*d)*b^2*c^2*abs(b) + 6*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*d))/b","B",0
612,1,1168,0,16.635692," ","integrate((b*x+a)^(3/2)*(d*x+c)^(3/2)/x^3,x, algorithm=""giac"")","\frac{4 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} d {\left| b \right|} - 6 \, {\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) - \frac{3 \, {\left(\sqrt{b d} b^{3} c^{2} {\left| b \right|} + 6 \, \sqrt{b d} a b^{2} c d {\left| b \right|} + \sqrt{b d} a^{2} b d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{2 \, {\left(5 \, \sqrt{b d} b^{9} c^{5} {\left| b \right|} - 15 \, \sqrt{b d} a b^{8} c^{4} d {\left| b \right|} + 10 \, \sqrt{b d} a^{2} b^{7} c^{3} d^{2} {\left| b \right|} + 10 \, \sqrt{b d} a^{3} b^{6} c^{2} d^{3} {\left| b \right|} - 15 \, \sqrt{b d} a^{4} b^{5} c d^{4} {\left| b \right|} + 5 \, \sqrt{b d} a^{5} b^{4} d^{5} {\left| b \right|} - 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)}^{2} b^{7} c^{4} {\left| b \right|} + 4 \, \sqrt{b 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 {\left| b \right|} + 22 \, \sqrt{b 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^{2} {\left| b \right|} + 4 \, \sqrt{b 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^{3} {\left| b \right|} - 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)}^{2} a^{4} b^{3} d^{4} {\left| b \right|} + 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)}^{4} b^{5} c^{3} {\left| b \right|} + 25 \, \sqrt{b 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 {\left| b \right|} + 25 \, \sqrt{b 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^{2} {\left| b \right|} + 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)}^{4} a^{3} b^{2} d^{3} {\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)}^{6} b^{3} c^{2} {\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)}^{6} a b^{2} c d {\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)}^{6} a^{2} b d^{2} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2}}}{4 \, b}"," ",0,"1/4*(4*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*d*abs(b) - 6*(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) - 3*(sqrt(b*d)*b^3*c^2*abs(b) + 6*sqrt(b*d)*a*b^2*c*d*abs(b) + sqrt(b*d)*a^2*b*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 2*(5*sqrt(b*d)*b^9*c^5*abs(b) - 15*sqrt(b*d)*a*b^8*c^4*d*abs(b) + 10*sqrt(b*d)*a^2*b^7*c^3*d^2*abs(b) + 10*sqrt(b*d)*a^3*b^6*c^2*d^3*abs(b) - 15*sqrt(b*d)*a^4*b^5*c*d^4*abs(b) + 5*sqrt(b*d)*a^5*b^4*d^5*abs(b) - 15*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*abs(b) + 4*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*abs(b) + 22*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^2*abs(b) + 4*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^3*abs(b) - 15*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^4*abs(b) + 15*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*abs(b) + 25*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*abs(b) + 25*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^2*abs(b) + 15*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^3*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))^6*b^3*c^2*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))^6*a*b^2*c*d*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))^6*a^2*b*d^2*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2)/b","B",0
613,1,2269,0,97.596332," ","integrate((b*x+a)^(3/2)*(d*x+c)^(3/2)/x^4,x, algorithm=""giac"")","-\frac{24 \, \sqrt{b d} b 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) - \frac{3 \, {\left(\sqrt{b d} b^{4} c^{3} {\left| b \right|} - 9 \, \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} - 9 \, \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} + \sqrt{b d} a^{3} b d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b c} + \frac{2 \, {\left(3 \, \sqrt{b d} b^{14} c^{8} {\left| b \right|} + 20 \, \sqrt{b d} a b^{13} c^{7} d {\left| b \right|} - 180 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} {\left| b \right|} + 492 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} {\left| b \right|} - 670 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} {\left| b \right|} + 492 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} {\left| b \right|} - 180 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} {\left| b \right|} + 20 \, \sqrt{b d} a^{7} b^{7} c d^{7} {\left| b \right|} + 3 \, \sqrt{b d} a^{8} b^{6} d^{8} {\left| b \right|} - 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)}^{2} b^{12} c^{7} {\left| b \right|} - 117 \, \sqrt{b 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^{6} d {\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)}^{2} a^{2} b^{10} c^{5} d^{2} {\left| b \right|} - 309 \, \sqrt{b 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^{4} d^{3} {\left| b \right|} - 309 \, \sqrt{b 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^{3} d^{4} {\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)}^{2} a^{5} b^{7} c^{2} d^{5} {\left| b \right|} - 117 \, \sqrt{b 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} c d^{6} {\left| b \right|} - 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)}^{2} a^{7} b^{5} d^{7} {\left| b \right|} + 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)}^{4} b^{10} c^{6} {\left| b \right|} + 300 \, \sqrt{b 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^{5} d {\left| b \right|} - 222 \, \sqrt{b 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^{4} d^{2} {\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^{3} b^{7} c^{3} d^{3} {\left| b \right|} - 222 \, \sqrt{b 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^{2} d^{4} {\left| b \right|} + 300 \, \sqrt{b 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} c d^{5} {\left| b \right|} + 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)}^{4} a^{6} b^{4} d^{6} {\left| b \right|} - 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^{8} c^{5} {\left| b \right|} - 398 \, \sqrt{b 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^{4} d {\left| b \right|} - 276 \, \sqrt{b 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^{3} d^{2} {\left| b \right|} - 276 \, \sqrt{b 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^{2} d^{3} {\left| b \right|} - 398 \, \sqrt{b 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} c d^{4} {\left| b \right|} - 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^{5} b^{3} d^{5} {\left| b \right|} + 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)}^{8} b^{6} c^{4} {\left| b \right|} + 264 \, \sqrt{b 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^{3} d {\left| b \right|} + 306 \, \sqrt{b 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^{2} d^{2} {\left| b \right|} + 264 \, \sqrt{b 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} c d^{3} {\left| b \right|} + 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)}^{8} a^{4} 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)}^{10} b^{4} c^{3} {\left| b \right|} - 69 \, \sqrt{b 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^{2} d {\left| b \right|} - 69 \, \sqrt{b 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} 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)}^{10} a^{3} b d^{3} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a c}}{24 \, b}"," ",0,"-1/24*(24*sqrt(b*d)*b*d*abs(b)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2) - 3*(sqrt(b*d)*b^4*c^3*abs(b) - 9*sqrt(b*d)*a*b^3*c^2*d*abs(b) - 9*sqrt(b*d)*a^2*b^2*c*d^2*abs(b) + sqrt(b*d)*a^3*b*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c) + 2*(3*sqrt(b*d)*b^14*c^8*abs(b) + 20*sqrt(b*d)*a*b^13*c^7*d*abs(b) - 180*sqrt(b*d)*a^2*b^12*c^6*d^2*abs(b) + 492*sqrt(b*d)*a^3*b^11*c^5*d^3*abs(b) - 670*sqrt(b*d)*a^4*b^10*c^4*d^4*abs(b) + 492*sqrt(b*d)*a^5*b^9*c^3*d^5*abs(b) - 180*sqrt(b*d)*a^6*b^8*c^2*d^6*abs(b) + 20*sqrt(b*d)*a^7*b^7*c*d^7*abs(b) + 3*sqrt(b*d)*a^8*b^6*d^8*abs(b) - 15*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^7*abs(b) - 117*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^6*d*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))^2*a^2*b^10*c^5*d^2*abs(b) - 309*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^4*d^3*abs(b) - 309*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^3*d^4*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))^2*a^5*b^7*c^2*d^5*abs(b) - 117*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*c*d^6*abs(b) - 15*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^5*d^7*abs(b) + 30*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^6*abs(b) + 300*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^5*d*abs(b) - 222*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^4*d^2*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^3*b^7*c^3*d^3*abs(b) - 222*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^2*d^4*abs(b) + 300*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*c*d^5*abs(b) + 30*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^4*d^6*abs(b) - 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^8*c^5*abs(b) - 398*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^4*d*abs(b) - 276*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^3*d^2*abs(b) - 276*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^2*d^3*abs(b) - 398*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*c*d^4*abs(b) - 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^5*b^3*d^5*abs(b) + 15*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^4*abs(b) + 264*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^3*d*abs(b) + 306*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^2*d^2*abs(b) + 264*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*c*d^3*abs(b) + 15*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^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))^10*b^4*c^3*abs(b) - 69*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^2*d*abs(b) - 69*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*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))^10*a^3*b*d^3*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a*c))/b","B",0
614,1,3832,0,16.837603," ","integrate((b*x+a)^(3/2)*(d*x+c)^(3/2)/x^5,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(\sqrt{b d} b^{5} c^{4} {\left| b \right|} - 4 \, \sqrt{b d} a b^{4} c^{3} d {\left| b \right|} + 6 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} - 4 \, \sqrt{b d} a^{3} b^{2} c d^{3} {\left| b \right|} + \sqrt{b d} a^{4} b d^{4} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b c^{2}} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{19} c^{11} {\left| b \right|} - 35 \, \sqrt{b d} a b^{18} c^{10} d {\left| b \right|} + 161 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} {\left| b \right|} - 385 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} {\left| b \right|} + 494 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} {\left| b \right|} - 238 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} {\left| b \right|} - 238 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} {\left| b \right|} + 494 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} {\left| b \right|} - 385 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} {\left| b \right|} + 161 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} {\left| b \right|} - 35 \, \sqrt{b d} a^{10} b^{9} c d^{10} {\left| b \right|} + 3 \, \sqrt{b d} a^{11} b^{8} d^{11} {\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)}^{2} b^{17} c^{10} {\left| b \right|} + 178 \, \sqrt{b 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^{16} c^{9} d {\left| b \right|} - 561 \, \sqrt{b 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^{15} c^{8} d^{2} {\left| b \right|} + 856 \, \sqrt{b 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^{14} c^{7} d^{3} {\left| b \right|} - 698 \, \sqrt{b 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^{13} c^{6} d^{4} {\left| b \right|} + 492 \, \sqrt{b 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^{12} c^{5} d^{5} {\left| b \right|} - 698 \, \sqrt{b 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^{11} c^{4} d^{6} {\left| b \right|} + 856 \, \sqrt{b 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^{10} c^{3} d^{7} {\left| b \right|} - 561 \, \sqrt{b 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^{9} c^{2} d^{8} {\left| b \right|} + 178 \, \sqrt{b 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^{9} b^{8} c 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)}^{2} a^{10} b^{7} d^{10} {\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)}^{4} b^{15} c^{9} {\left| b \right|} - 377 \, \sqrt{b 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^{14} c^{8} d {\left| b \right|} + 556 \, \sqrt{b 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^{13} c^{7} 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)}^{4} a^{3} b^{12} c^{6} d^{3} {\left| b \right|} - 206 \, \sqrt{b 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^{11} c^{5} d^{4} {\left| b \right|} - 206 \, \sqrt{b 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^{10} c^{4} d^{5} {\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^{6} b^{9} c^{3} d^{6} {\left| b \right|} + 556 \, \sqrt{b 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^{8} c^{2} d^{7} {\left| b \right|} - 377 \, \sqrt{b 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^{8} b^{7} c d^{8} {\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)}^{4} a^{9} b^{6} d^{9} {\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)}^{6} b^{13} c^{8} {\left| b \right|} + 440 \, \sqrt{b 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^{12} c^{7} d {\left| b \right|} + 100 \, \sqrt{b 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^{11} c^{6} d^{2} {\left| b \right|} - 632 \, \sqrt{b 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^{10} c^{5} d^{3} {\left| b \right|} + 394 \, \sqrt{b 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^{9} c^{4} d^{4} {\left| b \right|} - 632 \, \sqrt{b 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^{8} c^{3} d^{5} {\left| b \right|} + 100 \, \sqrt{b 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^{7} c^{2} d^{6} {\left| b \right|} + 440 \, \sqrt{b 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^{7} b^{6} c d^{7} {\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)}^{6} a^{8} b^{5} d^{8} {\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)}^{8} b^{11} c^{7} {\left| b \right|} - 325 \, \sqrt{b 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^{10} c^{6} d {\left| b \right|} - 551 \, \sqrt{b 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^{9} c^{5} d^{2} {\left| b \right|} - 253 \, \sqrt{b 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^{8} c^{4} d^{3} {\left| b \right|} - 253 \, \sqrt{b 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^{7} c^{3} d^{4} {\left| b \right|} - 551 \, \sqrt{b 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^{6} c^{2} d^{5} {\left| b \right|} - 325 \, \sqrt{b 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^{6} b^{5} c 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)}^{8} a^{7} b^{4} d^{7} {\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)}^{10} b^{9} c^{6} {\left| b \right|} + 170 \, \sqrt{b 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^{8} c^{5} d {\left| b \right|} + 527 \, \sqrt{b 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^{7} c^{4} d^{2} {\left| b \right|} + 780 \, \sqrt{b 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^{6} c^{3} d^{3} {\left| b \right|} + 527 \, \sqrt{b 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^{5} c^{2} d^{4} {\left| b \right|} + 170 \, \sqrt{b 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^{5} b^{4} c 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)}^{10} a^{6} b^{3} 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)}^{12} b^{7} c^{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)}^{12} a b^{6} c^{4} d {\left| b \right|} - 342 \, \sqrt{b 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^{5} c^{3} d^{2} {\left| b \right|} - 342 \, \sqrt{b 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^{4} c^{2} d^{3} {\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)}^{12} a^{4} b^{3} c d^{4} {\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)}^{12} a^{5} b^{2} d^{5} {\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)}^{14} b^{5} c^{4} {\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)}^{14} a b^{4} c^{3} d {\left| b \right|} + 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)}^{14} a^{2} b^{3} c^{2} d^{2} {\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)}^{14} a^{3} b^{2} c 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)}^{14} a^{4} b d^{4} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a^{2} c^{2}}}{64 \, b}"," ",0,"-1/64*(3*(sqrt(b*d)*b^5*c^4*abs(b) - 4*sqrt(b*d)*a*b^4*c^3*d*abs(b) + 6*sqrt(b*d)*a^2*b^3*c^2*d^2*abs(b) - 4*sqrt(b*d)*a^3*b^2*c*d^3*abs(b) + sqrt(b*d)*a^4*b*d^4*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c^2) - 2*(3*sqrt(b*d)*b^19*c^11*abs(b) - 35*sqrt(b*d)*a*b^18*c^10*d*abs(b) + 161*sqrt(b*d)*a^2*b^17*c^9*d^2*abs(b) - 385*sqrt(b*d)*a^3*b^16*c^8*d^3*abs(b) + 494*sqrt(b*d)*a^4*b^15*c^7*d^4*abs(b) - 238*sqrt(b*d)*a^5*b^14*c^6*d^5*abs(b) - 238*sqrt(b*d)*a^6*b^13*c^5*d^6*abs(b) + 494*sqrt(b*d)*a^7*b^12*c^4*d^7*abs(b) - 385*sqrt(b*d)*a^8*b^11*c^3*d^8*abs(b) + 161*sqrt(b*d)*a^9*b^10*c^2*d^9*abs(b) - 35*sqrt(b*d)*a^10*b^9*c*d^10*abs(b) + 3*sqrt(b*d)*a^11*b^8*d^11*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))^2*b^17*c^10*abs(b) + 178*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^16*c^9*d*abs(b) - 561*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^15*c^8*d^2*abs(b) + 856*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^14*c^7*d^3*abs(b) - 698*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^13*c^6*d^4*abs(b) + 492*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^12*c^5*d^5*abs(b) - 698*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^11*c^4*d^6*abs(b) + 856*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^10*c^3*d^7*abs(b) - 561*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^9*c^2*d^8*abs(b) + 178*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*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))^2*a^10*b^7*d^10*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))^4*b^15*c^9*abs(b) - 377*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^14*c^8*d*abs(b) + 556*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^13*c^7*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))^4*a^3*b^12*c^6*d^3*abs(b) - 206*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^11*c^5*d^4*abs(b) - 206*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^10*c^4*d^5*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^6*b^9*c^3*d^6*abs(b) + 556*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^8*c^2*d^7*abs(b) - 377*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*d^8*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))^4*a^9*b^6*d^9*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))^6*b^13*c^8*abs(b) + 440*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^12*c^7*d*abs(b) + 100*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^11*c^6*d^2*abs(b) - 632*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^10*c^5*d^3*abs(b) + 394*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^9*c^4*d^4*abs(b) - 632*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^8*c^3*d^5*abs(b) + 100*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^7*c^2*d^6*abs(b) + 440*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*d^7*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))^6*a^8*b^5*d^8*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))^8*b^11*c^7*abs(b) - 325*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^10*c^6*d*abs(b) - 551*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^9*c^5*d^2*abs(b) - 253*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^8*c^4*d^3*abs(b) - 253*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^7*c^3*d^4*abs(b) - 551*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^6*c^2*d^5*abs(b) - 325*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^5*c*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))^8*a^7*b^4*d^7*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))^10*b^9*c^6*abs(b) + 170*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^8*c^5*d*abs(b) + 527*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^7*c^4*d^2*abs(b) + 780*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^6*c^3*d^3*abs(b) + 527*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^5*c^2*d^4*abs(b) + 170*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*c*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))^10*a^6*b^3*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))^12*b^7*c^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))^12*a*b^6*c^4*d*abs(b) - 342*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^5*c^3*d^2*abs(b) - 342*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^4*c^2*d^3*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))^12*a^4*b^3*c*d^4*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))^12*a^5*b^2*d^5*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))^14*b^5*c^4*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))^14*a*b^4*c^3*d*abs(b) + 110*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^3*c^2*d^2*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))^14*a^3*b^2*c*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))^14*a^4*b*d^4*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a^2*c^2))/b","B",0
615,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(3/2)/x^6,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
616,1,3513,0,5.780990," ","integrate(x^2*(b*x+a)^(3/2)*(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{56 \, {\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)} c^{2} {\left| b \right|} + \frac{4480 \, {\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^{2} {\left| b \right|}}{b^{2}} + \frac{1120 \, {\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^{2} {\left| b \right|}}{b} + 28 \, {\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)} c d {\left| b \right|} + \frac{1120 \, {\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} c d {\left| b \right|}}{b^{2}} + \frac{224 \, {\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 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(2 \, {\left(8 \, {\left(b x + a\right)} {\left(10 \, {\left(b x + a\right)} {\left(\frac{12 \, {\left(b x + a\right)}}{b^{6}} + \frac{b^{42} c d^{11} - 85 \, a b^{41} d^{12}}{b^{47} d^{12}}\right)} - \frac{11 \, b^{43} c^{2} d^{10} + 62 \, a b^{42} c d^{11} - 2593 \, a^{2} b^{41} d^{12}}{b^{47} d^{12}}\right)} + \frac{3 \, {\left(33 \, b^{44} c^{3} d^{9} + 153 \, a b^{43} c^{2} d^{10} + 435 \, a^{2} b^{42} c d^{11} - 11821 \, a^{3} b^{41} d^{12}\right)}}{b^{47} d^{12}}\right)} {\left(b x + a\right)} - \frac{7 \, {\left(33 \, b^{45} c^{4} d^{8} + 120 \, a b^{44} c^{3} d^{9} + 282 \, a^{2} b^{43} c^{2} d^{10} + 544 \, a^{3} b^{42} c d^{11} - 10579 \, a^{4} b^{41} d^{12}\right)}}{b^{47} d^{12}}\right)} {\left(b x + a\right)} + \frac{35 \, {\left(33 \, b^{46} c^{5} d^{7} + 87 \, a b^{45} c^{4} d^{8} + 162 \, a^{2} b^{44} c^{3} d^{9} + 262 \, a^{3} b^{43} c^{2} d^{10} + 397 \, a^{4} b^{42} c d^{11} - 5549 \, a^{5} b^{41} d^{12}\right)}}{b^{47} d^{12}}\right)} {\left(b x + a\right)} - \frac{105 \, {\left(33 \, b^{47} c^{6} d^{6} + 54 \, a b^{46} c^{5} d^{7} + 75 \, a^{2} b^{45} c^{4} d^{8} + 100 \, a^{3} b^{44} c^{3} d^{9} + 135 \, a^{4} b^{43} c^{2} d^{10} + 198 \, a^{5} b^{42} c d^{11} - 1619 \, a^{6} b^{41} d^{12}\right)}}{b^{47} d^{12}}\right)} \sqrt{b x + a} - \frac{105 \, {\left(33 \, b^{7} c^{7} + 21 \, a b^{6} c^{6} d + 21 \, a^{2} b^{5} c^{5} d^{2} + 25 \, a^{3} b^{4} c^{4} d^{3} + 35 \, a^{4} b^{3} c^{3} d^{4} + 63 \, a^{5} b^{2} c^{2} d^{5} + 231 \, a^{6} b c d^{6} - 429 \, a^{7} d^{7}\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^{5} d^{6}}\right)} d^{2} {\left| b \right|} + \frac{56 \, {\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^{2} d^{2} {\left| b \right|}}{b^{2}} + \frac{28 \, {\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)} a d^{2} {\left| b \right|}}{b}}{107520 \, b}"," ",0,"1/107520*(56*(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))*c^2*abs(b) + 4480*(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^2*abs(b)/b^2 + 1120*(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^2*abs(b)/b + 28*(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))*c*d*abs(b) + 1120*(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*c*d*abs(b)/b^2 + 224*(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*c*d*abs(b)/b + (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(4*(2*(8*(b*x + a)*(10*(b*x + a)*(12*(b*x + a)/b^6 + (b^42*c*d^11 - 85*a*b^41*d^12)/(b^47*d^12)) - (11*b^43*c^2*d^10 + 62*a*b^42*c*d^11 - 2593*a^2*b^41*d^12)/(b^47*d^12)) + 3*(33*b^44*c^3*d^9 + 153*a*b^43*c^2*d^10 + 435*a^2*b^42*c*d^11 - 11821*a^3*b^41*d^12)/(b^47*d^12))*(b*x + a) - 7*(33*b^45*c^4*d^8 + 120*a*b^44*c^3*d^9 + 282*a^2*b^43*c^2*d^10 + 544*a^3*b^42*c*d^11 - 10579*a^4*b^41*d^12)/(b^47*d^12))*(b*x + a) + 35*(33*b^46*c^5*d^7 + 87*a*b^45*c^4*d^8 + 162*a^2*b^44*c^3*d^9 + 262*a^3*b^43*c^2*d^10 + 397*a^4*b^42*c*d^11 - 5549*a^5*b^41*d^12)/(b^47*d^12))*(b*x + a) - 105*(33*b^47*c^6*d^6 + 54*a*b^46*c^5*d^7 + 75*a^2*b^45*c^4*d^8 + 100*a^3*b^44*c^3*d^9 + 135*a^4*b^43*c^2*d^10 + 198*a^5*b^42*c*d^11 - 1619*a^6*b^41*d^12)/(b^47*d^12))*sqrt(b*x + a) - 105*(33*b^7*c^7 + 21*a*b^6*c^6*d + 21*a^2*b^5*c^5*d^2 + 25*a^3*b^4*c^4*d^3 + 35*a^4*b^3*c^3*d^4 + 63*a^5*b^2*c^2*d^5 + 231*a^6*b*c*d^6 - 429*a^7*d^7)*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^5*d^6))*d^2*abs(b) + 56*(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^2*d^2*abs(b)/b^2 + 28*(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))*a*d^2*abs(b)/b)/b","B",0
617,1,2677,0,4.781105," ","integrate(x*(b*x+a)^(3/2)*(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{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)} c^{2} {\left| b \right|} + \frac{640 \, {\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|}}{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)} c d {\left| b \right|} + \frac{640 \, {\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^{2}} + \frac{160 \, {\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|}}{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)} d^{2} {\left| b \right|} + \frac{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^{2} d^{2} {\left| b \right|}}{b^{2}} + \frac{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)} a d^{2} {\left| b \right|}}{b} + \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^{2} c^{2} {\left| b \right|}}{b^{3}}}{7680 \, b}"," ",0,"1/7680*(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))*c^2*abs(b) + 640*(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)/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))*c*d*abs(b) + 640*(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^2 + 160*(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)/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))*d^2*abs(b) + 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^2*d^2*abs(b)/b^2 + 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))*a*d^2*abs(b)/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^2*c^2*abs(b)/b^3)/b","B",0
618,1,1962,0,3.263332," ","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
619,-2,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/2)/x,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.24"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
620,1,686,0,5.625886," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/2)/x^2,x, algorithm=""giac"")","\frac{2 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)} d^{2} {\left| b \right|}}{b^{2}} + \frac{13 \, b^{3} c d^{5} {\left| b \right|} - a b^{2} d^{6} {\left| b \right|}}{b^{4} d^{4}}\right)} + \frac{3 \, {\left(11 \, b^{4} c^{2} d^{4} {\left| b \right|} + 14 \, a b^{3} c d^{5} {\left| b \right|} - a^{2} b^{2} d^{6} {\left| b \right|}\right)}}{b^{4} d^{4}}\right)} \sqrt{b x + a} - \frac{48 \, {\left(3 \, \sqrt{b d} a b^{2} c^{3} {\left| b \right|} + 5 \, \sqrt{b d} a^{2} b c^{2} d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{96 \, {\left(\sqrt{b d} a b^{4} c^{4} {\left| b \right|} - 2 \, \sqrt{b d} a^{2} b^{3} c^{3} d {\left| b \right|} + \sqrt{b d} a^{3} b^{2} c^{2} d^{2} {\left| b \right|} - \sqrt{b 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^{3} {\left| b \right|} - \sqrt{b 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 c^{2} d {\left| b \right|}\right)}}{b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4}} - \frac{3 \, {\left(5 \, \sqrt{b d} b^{3} c^{3} {\left| b \right|} + 45 \, \sqrt{b d} a b^{2} c^{2} d {\left| b \right|} + 15 \, \sqrt{b d} a^{2} b c d^{2} {\left| b \right|} - \sqrt{b d} a^{3} d^{3} {\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)}{b^{2} d}}{48 \, b}"," ",0,"1/48*(2*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*d^2*abs(b)/b^2 + (13*b^3*c*d^5*abs(b) - a*b^2*d^6*abs(b))/(b^4*d^4)) + 3*(11*b^4*c^2*d^4*abs(b) + 14*a*b^3*c*d^5*abs(b) - a^2*b^2*d^6*abs(b))/(b^4*d^4))*sqrt(b*x + a) - 48*(3*sqrt(b*d)*a*b^2*c^3*abs(b) + 5*sqrt(b*d)*a^2*b*c^2*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 96*(sqrt(b*d)*a*b^4*c^4*abs(b) - 2*sqrt(b*d)*a^2*b^3*c^3*d*abs(b) + sqrt(b*d)*a^3*b^2*c^2*d^2*abs(b) - 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^3*abs(b) - 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*c^2*d*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4) - 3*(5*sqrt(b*d)*b^3*c^3*abs(b) + 45*sqrt(b*d)*a*b^2*c^2*d*abs(b) + 15*sqrt(b*d)*a^2*b*c*d^2*abs(b) - sqrt(b*d)*a^3*d^3*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^2*d))/b","B",0
621,1,1247,0,18.231580," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/2)/x^3,x, algorithm=""giac"")","\frac{2 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(\frac{2 \, {\left(b x + a\right)} d^{2} {\left| b \right|}}{b} + \frac{3 \, {\left(3 \, b c d^{3} {\left| b \right|} + a d^{4} {\left| b \right|}\right)}}{b d^{2}}\right)} \sqrt{b x + a} - \frac{3 \, {\left(5 \, \sqrt{b d} b^{2} c^{2} {\left| b \right|} + 10 \, \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)}{b} - \frac{6 \, {\left(\sqrt{b d} b^{3} c^{3} {\left| b \right|} + 10 \, \sqrt{b d} a b^{2} c^{2} d {\left| b \right|} + 5 \, \sqrt{b d} a^{2} b c d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{4 \, {\left(5 \, \sqrt{b d} b^{9} c^{6} {\left| b \right|} - 11 \, \sqrt{b d} a b^{8} c^{5} d {\left| b \right|} - 6 \, \sqrt{b d} a^{2} b^{7} c^{4} d^{2} {\left| b \right|} + 34 \, \sqrt{b d} a^{3} b^{6} c^{3} d^{3} {\left| b \right|} - 31 \, \sqrt{b d} a^{4} b^{5} c^{2} d^{4} {\left| b \right|} + 9 \, \sqrt{b d} a^{5} b^{4} c d^{5} {\left| b \right|} - 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)}^{2} b^{7} c^{5} {\left| b \right|} - 8 \, \sqrt{b 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^{4} d {\left| b \right|} + 34 \, \sqrt{b 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^{3} d^{2} {\left| b \right|} + 16 \, \sqrt{b 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^{2} d^{3} {\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)}^{2} a^{4} b^{3} c d^{4} {\left| b \right|} + 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)}^{4} b^{5} c^{4} {\left| b \right|} + 37 \, \sqrt{b 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^{3} d {\left| b \right|} + 33 \, \sqrt{b 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^{2} d^{2} {\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^{3} b^{2} c d^{3} {\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)}^{6} b^{3} c^{3} {\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)}^{6} a b^{2} c^{2} d {\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)}^{6} a^{2} b c d^{2} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2}}}{8 \, b}"," ",0,"1/8*(2*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*d^2*abs(b)/b + 3*(3*b*c*d^3*abs(b) + a*d^4*abs(b))/(b*d^2))*sqrt(b*x + a) - 3*(5*sqrt(b*d)*b^2*c^2*abs(b) + 10*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 - 6*(sqrt(b*d)*b^3*c^3*abs(b) + 10*sqrt(b*d)*a*b^2*c^2*d*abs(b) + 5*sqrt(b*d)*a^2*b*c*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 4*(5*sqrt(b*d)*b^9*c^6*abs(b) - 11*sqrt(b*d)*a*b^8*c^5*d*abs(b) - 6*sqrt(b*d)*a^2*b^7*c^4*d^2*abs(b) + 34*sqrt(b*d)*a^3*b^6*c^3*d^3*abs(b) - 31*sqrt(b*d)*a^4*b^5*c^2*d^4*abs(b) + 9*sqrt(b*d)*a^5*b^4*c*d^5*abs(b) - 15*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^5*abs(b) - 8*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^4*d*abs(b) + 34*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^3*d^2*abs(b) + 16*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^2*d^3*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))^2*a^4*b^3*c*d^4*abs(b) + 15*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^4*abs(b) + 37*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^3*d*abs(b) + 33*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^2*d^2*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^3*b^2*c*d^3*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))^6*b^3*c^3*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))^6*a*b^2*c^2*d*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))^6*a^2*b*c*d^2*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2)/b","B",0
622,1,2316,0,100.932187," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/2)/x^4,x, algorithm=""giac"")","\frac{24 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} d^{2} {\left| b \right|} - 12 \, {\left(5 \, \sqrt{b d} b c d {\left| b \right|} + 3 \, \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) + \frac{3 \, {\left(\sqrt{b d} b^{4} c^{3} {\left| b \right|} - 15 \, \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} - 45 \, \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} - 5 \, \sqrt{b d} a^{3} b d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{14} c^{8} {\left| b \right|} + 50 \, \sqrt{b d} a b^{13} c^{7} d {\left| b \right|} - 330 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} {\left| b \right|} + 762 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} {\left| b \right|} - 820 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} {\left| b \right|} + 342 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} {\left| b \right|} + 90 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} {\left| b \right|} - 130 \, \sqrt{b d} a^{7} b^{7} c d^{7} {\left| b \right|} + 33 \, \sqrt{b d} a^{8} b^{6} d^{8} {\left| b \right|} - 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)}^{2} b^{12} c^{7} {\left| b \right|} - 267 \, \sqrt{b 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^{6} d {\left| b \right|} + 765 \, \sqrt{b 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^{5} d^{2} {\left| b \right|} - 255 \, \sqrt{b 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^{4} d^{3} {\left| b \right|} - 765 \, \sqrt{b 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^{3} d^{4} {\left| b \right|} + 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)}^{2} a^{5} b^{7} c^{2} d^{5} {\left| b \right|} + 207 \, \sqrt{b 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} c 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^{7} b^{5} d^{7} {\left| b \right|} + 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)}^{4} b^{10} c^{6} {\left| b \right|} + 600 \, \sqrt{b 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^{5} d {\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)}^{4} a^{2} b^{8} c^{4} d^{2} {\left| b \right|} - 528 \, \sqrt{b 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^{3} d^{3} {\left| b \right|} - 534 \, \sqrt{b 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^{2} d^{4} {\left| b \right|} + 312 \, \sqrt{b 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} c 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^{6} b^{4} d^{6} {\left| b \right|} - 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^{8} c^{5} {\left| b \right|} - 698 \, \sqrt{b 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^{4} d {\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^{2} b^{6} c^{3} d^{2} {\left| b \right|} - 636 \, \sqrt{b 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^{2} d^{3} {\left| b \right|} - 878 \, \sqrt{b 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} c d^{4} {\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)}^{6} a^{5} b^{3} d^{5} {\left| b \right|} + 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)}^{8} b^{6} c^{4} {\left| b \right|} + 414 \, \sqrt{b 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^{3} d {\left| b \right|} + 684 \, \sqrt{b 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^{2} d^{2} {\left| b \right|} + 642 \, \sqrt{b 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} c d^{3} {\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)}^{8} a^{4} 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)}^{10} b^{4} c^{3} {\left| b \right|} - 99 \, \sqrt{b 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^{2} d {\left| b \right|} - 153 \, \sqrt{b 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} c d^{2} {\left| b \right|} - 33 \, \sqrt{b 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 d^{3} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a}}{24 \, b}"," ",0,"1/24*(24*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*d^2*abs(b) - 12*(5*sqrt(b*d)*b*c*d*abs(b) + 3*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) + 3*(sqrt(b*d)*b^4*c^3*abs(b) - 15*sqrt(b*d)*a*b^3*c^2*d*abs(b) - 45*sqrt(b*d)*a^2*b^2*c*d^2*abs(b) - 5*sqrt(b*d)*a^3*b*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b) - 2*(3*sqrt(b*d)*b^14*c^8*abs(b) + 50*sqrt(b*d)*a*b^13*c^7*d*abs(b) - 330*sqrt(b*d)*a^2*b^12*c^6*d^2*abs(b) + 762*sqrt(b*d)*a^3*b^11*c^5*d^3*abs(b) - 820*sqrt(b*d)*a^4*b^10*c^4*d^4*abs(b) + 342*sqrt(b*d)*a^5*b^9*c^3*d^5*abs(b) + 90*sqrt(b*d)*a^6*b^8*c^2*d^6*abs(b) - 130*sqrt(b*d)*a^7*b^7*c*d^7*abs(b) + 33*sqrt(b*d)*a^8*b^6*d^8*abs(b) - 15*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^7*abs(b) - 267*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^6*d*abs(b) + 765*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^5*d^2*abs(b) - 255*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^4*d^3*abs(b) - 765*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^3*d^4*abs(b) + 495*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^2*d^5*abs(b) + 207*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*c*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^7*b^5*d^7*abs(b) + 30*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^6*abs(b) + 600*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^5*d*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))^4*a^2*b^8*c^4*d^2*abs(b) - 528*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^3*d^3*abs(b) - 534*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^2*d^4*abs(b) + 312*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*c*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^6*b^4*d^6*abs(b) - 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^8*c^5*abs(b) - 698*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^4*d*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^2*b^6*c^3*d^2*abs(b) - 636*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^2*d^3*abs(b) - 878*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*c*d^4*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))^6*a^5*b^3*d^5*abs(b) + 15*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^4*abs(b) + 414*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^3*d*abs(b) + 684*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^2*d^2*abs(b) + 642*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*c*d^3*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))^8*a^4*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))^10*b^4*c^3*abs(b) - 99*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^2*d*abs(b) - 153*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*c*d^2*abs(b) - 33*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*d^3*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a))/b","B",0
623,1,3887,0,11.842681," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/2)/x^5,x, algorithm=""giac"")","-\frac{192 \, \sqrt{b d} b 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) + \frac{3 \, {\left(3 \, \sqrt{b d} b^{5} c^{4} {\left| b \right|} - 20 \, \sqrt{b d} a b^{4} c^{3} d {\left| b \right|} + 90 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} + 60 \, \sqrt{b d} a^{3} b^{2} c d^{3} {\left| b \right|} - 5 \, \sqrt{b d} a^{4} b d^{4} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b c} - \frac{2 \, {\left(9 \, \sqrt{b d} b^{19} c^{11} {\left| b \right|} - 129 \, \sqrt{b d} a b^{18} c^{10} d {\left| b \right|} + 371 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} {\left| b \right|} + 581 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} {\left| b \right|} - 5494 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} {\left| b \right|} + 13958 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} {\left| b \right|} - 19306 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} {\left| b \right|} + 16154 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} {\left| b \right|} - 8131 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} {\left| b \right|} + 2219 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} {\left| b \right|} - 217 \, \sqrt{b d} a^{10} b^{9} c d^{10} {\left| b \right|} - 15 \, \sqrt{b d} a^{11} b^{8} d^{11} {\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)}^{2} b^{17} c^{10} {\left| b \right|} + 702 \, \sqrt{b 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^{16} c^{9} d {\left| b \right|} - 619 \, \sqrt{b 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^{15} c^{8} d^{2} {\left| b \right|} - 5272 \, \sqrt{b 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^{14} c^{7} d^{3} {\left| b \right|} + 13362 \, \sqrt{b 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^{13} c^{6} d^{4} {\left| b \right|} - 7372 \, \sqrt{b 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^{12} c^{5} d^{5} {\left| b \right|} - 10942 \, \sqrt{b 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^{11} c^{4} d^{6} {\left| b \right|} + 18024 \, \sqrt{b 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^{10} c^{3} d^{7} {\left| b \right|} - 9523 \, \sqrt{b 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^{9} c^{2} d^{8} {\left| b \right|} + 1598 \, \sqrt{b 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^{9} b^{8} c d^{9} {\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)}^{2} a^{10} b^{7} d^{10} {\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)}^{4} b^{15} c^{9} {\left| b \right|} - 1635 \, \sqrt{b 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^{14} c^{8} d {\left| b \right|} - 2524 \, \sqrt{b 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^{13} c^{7} d^{2} {\left| b \right|} + 12852 \, \sqrt{b 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^{12} c^{6} d^{3} {\left| b \right|} - 6666 \, \sqrt{b 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^{11} c^{5} d^{4} {\left| b \right|} - 5050 \, \sqrt{b 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^{10} c^{4} d^{5} {\left| b \right|} - 6156 \, \sqrt{b 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^{9} c^{3} d^{6} {\left| b \right|} + 14628 \, \sqrt{b 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^{8} c^{2} d^{7} {\left| b \right|} - 5323 \, \sqrt{b 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^{8} b^{7} c d^{8} {\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)}^{4} a^{9} b^{6} d^{9} {\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)}^{6} b^{13} c^{8} {\left| b \right|} + 2160 \, \sqrt{b 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^{12} c^{7} d {\left| b \right|} + 9220 \, \sqrt{b 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^{11} c^{6} d^{2} {\left| b \right|} - 8096 \, \sqrt{b 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^{10} c^{5} d^{3} {\left| b \right|} - 2378 \, \sqrt{b 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^{9} c^{4} d^{4} {\left| b \right|} - 5456 \, \sqrt{b 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^{8} c^{3} d^{5} {\left| b \right|} - 5900 \, \sqrt{b 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^{7} c^{2} d^{6} {\left| b \right|} + 10240 \, \sqrt{b 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^{7} b^{6} c d^{7} {\left| b \right|} + 525 \, \sqrt{b 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^{8} b^{5} d^{8} {\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)}^{8} b^{11} c^{7} {\left| b \right|} - 1815 \, \sqrt{b 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^{10} c^{6} d {\left| b \right|} - 12773 \, \sqrt{b 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^{9} c^{5} d^{2} {\left| b \right|} - 8111 \, \sqrt{b 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^{8} c^{4} d^{3} {\left| b \right|} - 7191 \, \sqrt{b 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^{7} c^{3} d^{4} {\left| b \right|} - 9005 \, \sqrt{b 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^{6} c^{2} d^{5} {\left| b \right|} - 12095 \, \sqrt{b 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^{6} b^{5} c d^{6} {\left| b \right|} - 525 \, \sqrt{b 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^{7} b^{4} 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)}^{10} b^{9} c^{6} {\left| b \right|} + 1014 \, \sqrt{b 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^{8} c^{5} d {\left| b \right|} + 9733 \, \sqrt{b 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^{7} c^{4} d^{2} {\left| b \right|} + 13140 \, \sqrt{b 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^{6} c^{3} d^{3} {\left| b \right|} + 12381 \, \sqrt{b 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^{5} c^{2} d^{4} {\left| b \right|} + 8662 \, \sqrt{b 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^{5} b^{4} 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^{6} b^{3} d^{6} {\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)}^{12} b^{7} c^{5} {\left| b \right|} - 357 \, \sqrt{b 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^{6} c^{4} d {\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)}^{12} a^{2} b^{5} c^{3} d^{2} {\left| b \right|} - 5682 \, \sqrt{b 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^{4} c^{2} d^{3} {\left| b \right|} - 3453 \, \sqrt{b 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^{4} b^{3} 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^{5} b^{2} d^{5} {\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)}^{14} b^{5} c^{4} {\left| b \right|} + 60 \, \sqrt{b 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^{4} c^{3} d {\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)}^{14} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} + 588 \, \sqrt{b 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^{3} b^{2} c d^{3} {\left| b \right|} + 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)}^{14} a^{4} b d^{4} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a^{2} c}}{192 \, b}"," ",0,"-1/192*(192*sqrt(b*d)*b*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) + 3*(3*sqrt(b*d)*b^5*c^4*abs(b) - 20*sqrt(b*d)*a*b^4*c^3*d*abs(b) + 90*sqrt(b*d)*a^2*b^3*c^2*d^2*abs(b) + 60*sqrt(b*d)*a^3*b^2*c*d^3*abs(b) - 5*sqrt(b*d)*a^4*b*d^4*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c) - 2*(9*sqrt(b*d)*b^19*c^11*abs(b) - 129*sqrt(b*d)*a*b^18*c^10*d*abs(b) + 371*sqrt(b*d)*a^2*b^17*c^9*d^2*abs(b) + 581*sqrt(b*d)*a^3*b^16*c^8*d^3*abs(b) - 5494*sqrt(b*d)*a^4*b^15*c^7*d^4*abs(b) + 13958*sqrt(b*d)*a^5*b^14*c^6*d^5*abs(b) - 19306*sqrt(b*d)*a^6*b^13*c^5*d^6*abs(b) + 16154*sqrt(b*d)*a^7*b^12*c^4*d^7*abs(b) - 8131*sqrt(b*d)*a^8*b^11*c^3*d^8*abs(b) + 2219*sqrt(b*d)*a^9*b^10*c^2*d^9*abs(b) - 217*sqrt(b*d)*a^10*b^9*c*d^10*abs(b) - 15*sqrt(b*d)*a^11*b^8*d^11*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))^2*b^17*c^10*abs(b) + 702*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^16*c^9*d*abs(b) - 619*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^15*c^8*d^2*abs(b) - 5272*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^14*c^7*d^3*abs(b) + 13362*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^13*c^6*d^4*abs(b) - 7372*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^12*c^5*d^5*abs(b) - 10942*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^11*c^4*d^6*abs(b) + 18024*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^10*c^3*d^7*abs(b) - 9523*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^9*c^2*d^8*abs(b) + 1598*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9*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))^2*a^10*b^7*d^10*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))^4*b^15*c^9*abs(b) - 1635*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^14*c^8*d*abs(b) - 2524*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^13*c^7*d^2*abs(b) + 12852*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^12*c^6*d^3*abs(b) - 6666*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^11*c^5*d^4*abs(b) - 5050*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^10*c^4*d^5*abs(b) - 6156*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^9*c^3*d^6*abs(b) + 14628*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^8*c^2*d^7*abs(b) - 5323*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*d^8*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))^4*a^9*b^6*d^9*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))^6*b^13*c^8*abs(b) + 2160*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^12*c^7*d*abs(b) + 9220*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^11*c^6*d^2*abs(b) - 8096*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^10*c^5*d^3*abs(b) - 2378*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^9*c^4*d^4*abs(b) - 5456*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^8*c^3*d^5*abs(b) - 5900*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^7*c^2*d^6*abs(b) + 10240*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*d^7*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^5*d^8*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))^8*b^11*c^7*abs(b) - 1815*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^10*c^6*d*abs(b) - 12773*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^9*c^5*d^2*abs(b) - 8111*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^8*c^4*d^3*abs(b) - 7191*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^7*c^3*d^4*abs(b) - 9005*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^6*c^2*d^5*abs(b) - 12095*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^5*c*d^6*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^4*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))^10*b^9*c^6*abs(b) + 1014*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^8*c^5*d*abs(b) + 9733*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^7*c^4*d^2*abs(b) + 13140*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^6*c^3*d^3*abs(b) + 12381*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^5*c^2*d^4*abs(b) + 8662*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*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^6*b^3*d^6*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))^12*b^7*c^5*abs(b) - 357*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^6*c^4*d*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))^12*a^2*b^5*c^3*d^2*abs(b) - 5682*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^4*c^2*d^3*abs(b) - 3453*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^3*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^5*b^2*d^5*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))^14*b^5*c^4*abs(b) + 60*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^4*c^3*d*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))^14*a^2*b^3*c^2*d^2*abs(b) + 588*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^2*c*d^3*abs(b) + 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b*d^4*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a^2*c))/b","B",0
624,-1,0,0,0.000000," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/2)/x^6,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
625,1,8502,0,39.505682," ","integrate((b*x+a)^(3/2)*(d*x+c)^(5/2)/x^7,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(7 \, \sqrt{b d} b^{7} c^{6} {\left| b \right|} - 30 \, \sqrt{b d} a b^{6} c^{5} d {\left| b \right|} + 45 \, \sqrt{b d} a^{2} b^{5} c^{4} d^{2} {\left| b \right|} - 20 \, \sqrt{b d} a^{3} b^{4} c^{3} d^{3} {\left| b \right|} - 15 \, \sqrt{b d} a^{4} b^{3} c^{2} d^{4} {\left| b \right|} + 18 \, \sqrt{b d} a^{5} b^{2} c d^{5} {\left| b \right|} - 5 \, \sqrt{b d} a^{6} b d^{6} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{4} b c^{3}} - \frac{2 \, {\left(105 \, \sqrt{b d} b^{29} c^{17} {\left| b \right|} - 1675 \, \sqrt{b d} a b^{28} c^{16} d {\left| b \right|} + 12456 \, \sqrt{b d} a^{2} b^{27} c^{15} d^{2} {\left| b \right|} - 57192 \, \sqrt{b d} a^{3} b^{26} c^{14} d^{3} {\left| b \right|} + 181356 \, \sqrt{b d} a^{4} b^{25} c^{13} d^{4} {\left| b \right|} - 421620 \, \sqrt{b d} a^{5} b^{24} c^{12} d^{5} {\left| b \right|} + 746040 \, \sqrt{b d} a^{6} b^{23} c^{11} d^{6} {\left| b \right|} - 1032152 \, \sqrt{b d} a^{7} b^{22} c^{10} d^{7} {\left| b \right|} + 1141734 \, \sqrt{b d} a^{8} b^{21} c^{9} d^{8} {\left| b \right|} - 1030722 \, \sqrt{b d} a^{9} b^{20} c^{8} d^{9} {\left| b \right|} + 773080 \, \sqrt{b d} a^{10} b^{19} c^{7} d^{10} {\left| b \right|} - 486360 \, \sqrt{b d} a^{11} b^{18} c^{6} d^{11} {\left| b \right|} + 254796 \, \sqrt{b d} a^{12} b^{17} c^{5} d^{12} {\left| b \right|} - 107892 \, \sqrt{b d} a^{13} b^{16} c^{4} d^{13} {\left| b \right|} + 35016 \, \sqrt{b d} a^{14} b^{15} c^{3} d^{14} {\left| b \right|} - 8040 \, \sqrt{b d} a^{15} b^{14} c^{2} d^{15} {\left| b \right|} + 1145 \, \sqrt{b d} a^{16} b^{13} c d^{16} {\left| b \right|} - 75 \, \sqrt{b d} a^{17} b^{12} d^{17} {\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)}^{2} b^{27} c^{16} {\left| b \right|} + 14820 \, \sqrt{b 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^{26} c^{15} d {\left| b \right|} - 85572 \, \sqrt{b 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^{25} c^{14} d^{2} {\left| b \right|} + 289668 \, \sqrt{b 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^{24} c^{13} d^{3} {\left| b \right|} - 626160 \, \sqrt{b 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^{23} c^{12} d^{4} {\left| b \right|} + 869940 \, \sqrt{b 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^{22} c^{11} d^{5} {\left| b \right|} - 691620 \, \sqrt{b 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^{21} c^{10} d^{6} {\left| b \right|} + 66324 \, \sqrt{b 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^{20} c^{9} d^{7} {\left| b \right|} + 603234 \, \sqrt{b 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^{19} c^{8} d^{8} {\left| b \right|} - 921300 \, \sqrt{b 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^{9} b^{18} c^{7} d^{9} {\left| b \right|} + 864660 \, \sqrt{b 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^{10} b^{17} c^{6} d^{10} {\left| b \right|} - 630900 \, \sqrt{b 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^{11} b^{16} c^{5} d^{11} {\left| b \right|} + 373848 \, \sqrt{b 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^{12} b^{15} c^{4} d^{12} {\left| b \right|} - 170052 \, \sqrt{b 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^{13} b^{14} c^{3} d^{13} {\left| b \right|} + 53460 \, \sqrt{b 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^{14} b^{13} c^{2} d^{14} {\left| b \right|} - 10020 \, \sqrt{b 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^{15} b^{12} c d^{15} {\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)}^{2} a^{16} b^{11} d^{16} {\left| b \right|} + 5775 \, \sqrt{b 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^{25} c^{15} {\left| b \right|} - 58455 \, \sqrt{b 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^{24} c^{14} d {\left| b \right|} + 255411 \, \sqrt{b 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^{23} c^{13} d^{2} {\left| b \right|} - 614355 \, \sqrt{b 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^{22} c^{12} d^{3} {\left| b \right|} + 839955 \, \sqrt{b 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^{21} c^{11} d^{4} {\left| b \right|} - 524715 \, \sqrt{b 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^{20} c^{10} d^{5} {\left| b \right|} - 211305 \, \sqrt{b 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^{19} c^{9} d^{6} {\left| b \right|} + 722073 \, \sqrt{b 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^{18} c^{8} d^{7} {\left| b \right|} - 649635 \, \sqrt{b 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^{8} b^{17} c^{7} d^{8} {\left| b \right|} + 225195 \, \sqrt{b 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^{9} b^{16} c^{6} d^{9} {\left| b \right|} + 188265 \, \sqrt{b 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^{10} b^{15} c^{5} d^{10} {\left| b \right|} - 380265 \, \sqrt{b 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^{11} b^{14} c^{4} d^{11} {\left| b \right|} + 319041 \, \sqrt{b 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^{12} b^{13} c^{3} d^{12} {\left| b \right|} - 151785 \, \sqrt{b 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^{13} b^{12} c^{2} d^{13} {\left| b \right|} + 38925 \, \sqrt{b 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^{14} b^{11} c d^{14} {\left| b \right|} - 4125 \, \sqrt{b 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^{15} b^{10} d^{15} {\left| b \right|} - 17325 \, \sqrt{b 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^{23} c^{14} {\left| b \right|} + 135570 \, \sqrt{b 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^{22} c^{13} d {\left| b \right|} - 435915 \, \sqrt{b 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^{21} c^{12} d^{2} {\left| b \right|} + 711300 \, \sqrt{b 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^{20} c^{11} d^{3} {\left| b \right|} - 611965 \, \sqrt{b 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^{19} c^{10} d^{4} {\left| b \right|} + 387870 \, \sqrt{b 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^{18} c^{9} d^{5} {\left| b \right|} - 574275 \, \sqrt{b 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^{17} c^{8} d^{6} {\left| b \right|} + 871160 \, \sqrt{b 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^{7} b^{16} c^{7} d^{7} {\left| b \right|} - 696975 \, \sqrt{b 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^{8} b^{15} c^{6} d^{8} {\left| b \right|} + 220590 \, \sqrt{b 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^{9} b^{14} c^{5} d^{9} {\left| b \right|} + 160055 \, \sqrt{b 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^{10} b^{13} c^{4} d^{10} {\left| b \right|} - 313020 \, \sqrt{b 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^{11} b^{12} c^{3} d^{11} {\left| b \right|} + 238905 \, \sqrt{b 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^{12} b^{11} c^{2} d^{12} {\left| b \right|} - 88350 \, \sqrt{b 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^{13} b^{10} c d^{13} {\left| b \right|} + 12375 \, \sqrt{b 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^{14} b^{9} d^{14} {\left| b \right|} + 34650 \, \sqrt{b 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^{21} c^{13} {\left| b \right|} - 205830 \, \sqrt{b 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^{20} c^{12} d {\left| b \right|} + 472860 \, \sqrt{b 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^{19} c^{11} d^{2} {\left| b \right|} - 483540 \, \sqrt{b 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^{18} c^{10} d^{3} {\left| b \right|} + 257550 \, \sqrt{b 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^{17} c^{9} d^{4} {\left| b \right|} - 263970 \, \sqrt{b 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^{16} c^{8} d^{5} {\left| b \right|} + 375720 \, \sqrt{b 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^{6} b^{15} c^{7} d^{6} {\left| b \right|} - 390840 \, \sqrt{b 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^{7} b^{14} c^{6} d^{7} {\left| b \right|} + 442710 \, \sqrt{b 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^{8} b^{13} c^{5} d^{8} {\left| b \right|} - 372330 \, \sqrt{b 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^{9} b^{12} c^{4} d^{9} {\left| b \right|} + 252540 \, \sqrt{b 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^{10} b^{11} c^{3} d^{10} {\left| b \right|} - 224820 \, \sqrt{b 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^{11} b^{10} c^{2} d^{11} {\left| b \right|} + 130050 \, \sqrt{b 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^{12} b^{9} c d^{12} {\left| b \right|} - 24750 \, \sqrt{b 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^{13} b^{8} d^{13} {\left| b \right|} - 48510 \, \sqrt{b 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^{19} c^{12} {\left| b \right|} + 216720 \, \sqrt{b 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^{18} c^{11} d {\left| b \right|} - 343476 \, \sqrt{b 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^{17} c^{10} d^{2} {\left| b \right|} + 174432 \, \sqrt{b 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^{16} c^{9} d^{3} {\left| b \right|} - 39786 \, \sqrt{b 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^{15} c^{8} d^{4} {\left| b \right|} - 178080 \, \sqrt{b 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^{5} b^{14} c^{7} d^{5} {\left| b \right|} + 543240 \, \sqrt{b 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^{6} b^{13} c^{6} d^{6} {\left| b \right|} - 612096 \, \sqrt{b 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^{7} b^{12} c^{5} d^{7} {\left| b \right|} + 530382 \, \sqrt{b 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^{8} b^{11} c^{4} d^{8} {\left| b \right|} - 268656 \, \sqrt{b 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^{9} b^{10} c^{3} d^{9} {\left| b \right|} + 122220 \, \sqrt{b 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^{10} b^{9} c^{2} d^{10} {\left| b \right|} - 131040 \, \sqrt{b 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^{11} b^{8} c d^{11} {\left| b \right|} + 34650 \, \sqrt{b 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^{12} b^{7} d^{12} {\left| b \right|} + 48510 \, \sqrt{b 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^{17} c^{11} {\left| b \right|} - 165270 \, \sqrt{b 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^{16} c^{10} d {\left| b \right|} + 169722 \, \sqrt{b 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^{15} c^{9} d^{2} {\left| b \right|} + 2142 \, \sqrt{b 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^{14} c^{8} d^{3} {\left| b \right|} + 129100 \, \sqrt{b 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^{4} b^{13} c^{7} d^{4} {\left| b \right|} + 44100 \, \sqrt{b 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^{5} b^{12} c^{6} d^{5} {\left| b \right|} + 61140 \, \sqrt{b 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^{6} b^{11} c^{5} d^{6} {\left| b \right|} - 52388 \, \sqrt{b 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^{7} b^{10} c^{4} d^{7} {\left| b \right|} + 250902 \, \sqrt{b 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^{8} b^{9} c^{3} d^{8} {\left| b \right|} - 23310 \, \sqrt{b 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^{9} b^{8} c^{2} d^{9} {\left| b \right|} + 94290 \, \sqrt{b 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^{10} b^{7} c d^{10} {\left| b \right|} - 34650 \, \sqrt{b 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^{11} b^{6} d^{11} {\left| b \right|} - 34650 \, \sqrt{b 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^{15} c^{10} {\left| b \right|} + 95580 \, \sqrt{b 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^{14} c^{9} d {\left| b \right|} - 54666 \, \sqrt{b 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^{13} c^{8} d^{2} {\left| b \right|} - 42480 \, \sqrt{b 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^{3} b^{12} c^{7} d^{3} {\left| b \right|} - 205620 \, \sqrt{b 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^{4} b^{11} c^{6} d^{4} {\left| b \right|} + 360 \, \sqrt{b 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^{5} b^{10} c^{5} d^{5} {\left| b \right|} - 302820 \, \sqrt{b 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^{6} b^{9} c^{4} d^{6} {\left| b \right|} - 195696 \, \sqrt{b 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^{7} b^{8} c^{3} d^{7} {\left| b \right|} - 19890 \, \sqrt{b 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^{8} b^{7} c^{2} d^{8} {\left| b \right|} - 51300 \, \sqrt{b 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^{9} b^{6} c d^{9} {\left| b \right|} + 24750 \, \sqrt{b 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^{10} b^{5} d^{10} {\left| b \right|} + 17325 \, \sqrt{b 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^{13} c^{9} {\left| b \right|} - 43695 \, \sqrt{b 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^{12} c^{8} d {\left| b \right|} + 10980 \, \sqrt{b 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^{2} b^{11} c^{7} d^{2} {\left| b \right|} + 33300 \, \sqrt{b 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^{3} b^{10} c^{6} d^{3} {\left| b \right|} + 89910 \, \sqrt{b 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^{4} b^{9} c^{5} d^{4} {\left| b \right|} + 187470 \, \sqrt{b 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^{5} b^{8} c^{4} d^{5} {\left| b \right|} + 166260 \, \sqrt{b 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^{6} b^{7} c^{3} d^{6} {\left| b \right|} + 19620 \, \sqrt{b 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^{7} b^{6} c^{2} d^{7} {\left| b \right|} + 22725 \, \sqrt{b 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^{8} b^{5} c d^{8} {\left| b \right|} - 12375 \, \sqrt{b 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^{9} b^{4} d^{9} {\left| b \right|} - 5775 \, \sqrt{b 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} b^{11} c^{8} {\left| b \right|} + 15580 \, \sqrt{b 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} a b^{10} c^{7} d {\left| b \right|} - 3600 \, \sqrt{b 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} a^{2} b^{9} c^{6} d^{2} {\left| b \right|} - 17700 \, \sqrt{b 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} a^{3} b^{8} c^{5} d^{3} {\left| b \right|} - 39510 \, \sqrt{b 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} a^{4} b^{7} c^{4} d^{4} {\left| b \right|} - 101580 \, \sqrt{b 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} a^{5} b^{6} c^{3} d^{5} {\left| b \right|} - 7080 \, \sqrt{b 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} a^{6} b^{5} c^{2} d^{6} {\left| b \right|} - 8300 \, \sqrt{b 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} a^{7} b^{4} c d^{7} {\left| b \right|} + 4125 \, \sqrt{b 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} a^{8} b^{3} d^{8} {\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)}^{20} b^{9} c^{7} {\left| b \right|} - 3795 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{20} a b^{8} c^{6} d {\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)}^{20} a^{2} b^{7} c^{5} d^{2} {\left| b \right|} + 4125 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{20} a^{3} b^{6} c^{4} d^{3} {\left| b \right|} + 24945 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{20} a^{4} b^{5} c^{3} d^{4} {\left| b \right|} + 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)}^{20} a^{5} b^{4} c^{2} d^{5} {\left| b \right|} + 2145 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{20} a^{6} b^{3} c 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)}^{20} a^{7} b^{2} d^{7} {\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)}^{22} b^{7} c^{6} {\left| b \right|} + 450 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a b^{6} c^{5} d {\left| b \right|} - 675 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a^{2} b^{5} c^{4} d^{2} {\left| b \right|} + 300 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a^{3} b^{4} c^{3} d^{3} {\left| b \right|} + 225 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a^{4} b^{3} c^{2} d^{4} {\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)}^{22} a^{5} b^{2} c d^{5} {\left| b \right|} + 75 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a^{6} b d^{6} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{6} a^{4} c^{3}}}{7680 \, b}"," ",0,"-1/7680*(15*(7*sqrt(b*d)*b^7*c^6*abs(b) - 30*sqrt(b*d)*a*b^6*c^5*d*abs(b) + 45*sqrt(b*d)*a^2*b^5*c^4*d^2*abs(b) - 20*sqrt(b*d)*a^3*b^4*c^3*d^3*abs(b) - 15*sqrt(b*d)*a^4*b^3*c^2*d^4*abs(b) + 18*sqrt(b*d)*a^5*b^2*c*d^5*abs(b) - 5*sqrt(b*d)*a^6*b*d^6*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^4*b*c^3) - 2*(105*sqrt(b*d)*b^29*c^17*abs(b) - 1675*sqrt(b*d)*a*b^28*c^16*d*abs(b) + 12456*sqrt(b*d)*a^2*b^27*c^15*d^2*abs(b) - 57192*sqrt(b*d)*a^3*b^26*c^14*d^3*abs(b) + 181356*sqrt(b*d)*a^4*b^25*c^13*d^4*abs(b) - 421620*sqrt(b*d)*a^5*b^24*c^12*d^5*abs(b) + 746040*sqrt(b*d)*a^6*b^23*c^11*d^6*abs(b) - 1032152*sqrt(b*d)*a^7*b^22*c^10*d^7*abs(b) + 1141734*sqrt(b*d)*a^8*b^21*c^9*d^8*abs(b) - 1030722*sqrt(b*d)*a^9*b^20*c^8*d^9*abs(b) + 773080*sqrt(b*d)*a^10*b^19*c^7*d^10*abs(b) - 486360*sqrt(b*d)*a^11*b^18*c^6*d^11*abs(b) + 254796*sqrt(b*d)*a^12*b^17*c^5*d^12*abs(b) - 107892*sqrt(b*d)*a^13*b^16*c^4*d^13*abs(b) + 35016*sqrt(b*d)*a^14*b^15*c^3*d^14*abs(b) - 8040*sqrt(b*d)*a^15*b^14*c^2*d^15*abs(b) + 1145*sqrt(b*d)*a^16*b^13*c*d^16*abs(b) - 75*sqrt(b*d)*a^17*b^12*d^17*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))^2*b^27*c^16*abs(b) + 14820*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^26*c^15*d*abs(b) - 85572*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^25*c^14*d^2*abs(b) + 289668*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^24*c^13*d^3*abs(b) - 626160*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^23*c^12*d^4*abs(b) + 869940*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^22*c^11*d^5*abs(b) - 691620*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^21*c^10*d^6*abs(b) + 66324*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^20*c^9*d^7*abs(b) + 603234*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^19*c^8*d^8*abs(b) - 921300*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^18*c^7*d^9*abs(b) + 864660*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^10*b^17*c^6*d^10*abs(b) - 630900*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^11*b^16*c^5*d^11*abs(b) + 373848*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^12*b^15*c^4*d^12*abs(b) - 170052*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^13*b^14*c^3*d^13*abs(b) + 53460*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^14*b^13*c^2*d^14*abs(b) - 10020*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^15*b^12*c*d^15*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))^2*a^16*b^11*d^16*abs(b) + 5775*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^25*c^15*abs(b) - 58455*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^24*c^14*d*abs(b) + 255411*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^23*c^13*d^2*abs(b) - 614355*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^22*c^12*d^3*abs(b) + 839955*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^21*c^11*d^4*abs(b) - 524715*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^20*c^10*d^5*abs(b) - 211305*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^19*c^9*d^6*abs(b) + 722073*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^18*c^8*d^7*abs(b) - 649635*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^17*c^7*d^8*abs(b) + 225195*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^9*b^16*c^6*d^9*abs(b) + 188265*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^10*b^15*c^5*d^10*abs(b) - 380265*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^11*b^14*c^4*d^11*abs(b) + 319041*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^12*b^13*c^3*d^12*abs(b) - 151785*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^13*b^12*c^2*d^13*abs(b) + 38925*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^14*b^11*c*d^14*abs(b) - 4125*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^15*b^10*d^15*abs(b) - 17325*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^23*c^14*abs(b) + 135570*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^22*c^13*d*abs(b) - 435915*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^21*c^12*d^2*abs(b) + 711300*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^20*c^11*d^3*abs(b) - 611965*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^19*c^10*d^4*abs(b) + 387870*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^18*c^9*d^5*abs(b) - 574275*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^17*c^8*d^6*abs(b) + 871160*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^16*c^7*d^7*abs(b) - 696975*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^15*c^6*d^8*abs(b) + 220590*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^9*b^14*c^5*d^9*abs(b) + 160055*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^10*b^13*c^4*d^10*abs(b) - 313020*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^11*b^12*c^3*d^11*abs(b) + 238905*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^12*b^11*c^2*d^12*abs(b) - 88350*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^13*b^10*c*d^13*abs(b) + 12375*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^14*b^9*d^14*abs(b) + 34650*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^21*c^13*abs(b) - 205830*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^20*c^12*d*abs(b) + 472860*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^19*c^11*d^2*abs(b) - 483540*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^18*c^10*d^3*abs(b) + 257550*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^17*c^9*d^4*abs(b) - 263970*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^16*c^8*d^5*abs(b) + 375720*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^15*c^7*d^6*abs(b) - 390840*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^14*c^6*d^7*abs(b) + 442710*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^8*b^13*c^5*d^8*abs(b) - 372330*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^9*b^12*c^4*d^9*abs(b) + 252540*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^10*b^11*c^3*d^10*abs(b) - 224820*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^11*b^10*c^2*d^11*abs(b) + 130050*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^12*b^9*c*d^12*abs(b) - 24750*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^13*b^8*d^13*abs(b) - 48510*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^19*c^12*abs(b) + 216720*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^18*c^11*d*abs(b) - 343476*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^17*c^10*d^2*abs(b) + 174432*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^16*c^9*d^3*abs(b) - 39786*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^15*c^8*d^4*abs(b) - 178080*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^14*c^7*d^5*abs(b) + 543240*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^6*b^13*c^6*d^6*abs(b) - 612096*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^7*b^12*c^5*d^7*abs(b) + 530382*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^8*b^11*c^4*d^8*abs(b) - 268656*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^9*b^10*c^3*d^9*abs(b) + 122220*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^10*b^9*c^2*d^10*abs(b) - 131040*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^11*b^8*c*d^11*abs(b) + 34650*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^12*b^7*d^12*abs(b) + 48510*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^17*c^11*abs(b) - 165270*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^16*c^10*d*abs(b) + 169722*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^15*c^9*d^2*abs(b) + 2142*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^14*c^8*d^3*abs(b) + 129100*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^13*c^7*d^4*abs(b) + 44100*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^5*b^12*c^6*d^5*abs(b) + 61140*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^6*b^11*c^5*d^6*abs(b) - 52388*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^7*b^10*c^4*d^7*abs(b) + 250902*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^8*b^9*c^3*d^8*abs(b) - 23310*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^9*b^8*c^2*d^9*abs(b) + 94290*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^10*b^7*c*d^10*abs(b) - 34650*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^11*b^6*d^11*abs(b) - 34650*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^15*c^10*abs(b) + 95580*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^14*c^9*d*abs(b) - 54666*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^13*c^8*d^2*abs(b) - 42480*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^12*c^7*d^3*abs(b) - 205620*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b^11*c^6*d^4*abs(b) + 360*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^5*b^10*c^5*d^5*abs(b) - 302820*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^6*b^9*c^4*d^6*abs(b) - 195696*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^7*b^8*c^3*d^7*abs(b) - 19890*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^8*b^7*c^2*d^8*abs(b) - 51300*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^9*b^6*c*d^9*abs(b) + 24750*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^10*b^5*d^10*abs(b) + 17325*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*b^13*c^9*abs(b) - 43695*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^12*c^8*d*abs(b) + 10980*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^2*b^11*c^7*d^2*abs(b) + 33300*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^3*b^10*c^6*d^3*abs(b) + 89910*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^4*b^9*c^5*d^4*abs(b) + 187470*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^5*b^8*c^4*d^5*abs(b) + 166260*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^6*b^7*c^3*d^6*abs(b) + 19620*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^7*b^6*c^2*d^7*abs(b) + 22725*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^8*b^5*c*d^8*abs(b) - 12375*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^9*b^4*d^9*abs(b) - 5775*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*b^11*c^8*abs(b) + 15580*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a*b^10*c^7*d*abs(b) - 3600*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^2*b^9*c^6*d^2*abs(b) - 17700*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^3*b^8*c^5*d^3*abs(b) - 39510*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^4*b^7*c^4*d^4*abs(b) - 101580*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^5*b^6*c^3*d^5*abs(b) - 7080*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^6*b^5*c^2*d^6*abs(b) - 8300*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^7*b^4*c*d^7*abs(b) + 4125*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^8*b^3*d^8*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))^20*b^9*c^7*abs(b) - 3795*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^20*a*b^8*c^6*d*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))^20*a^2*b^7*c^5*d^2*abs(b) + 4125*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^20*a^3*b^6*c^4*d^3*abs(b) + 24945*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^20*a^4*b^5*c^3*d^4*abs(b) + 495*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^20*a^5*b^4*c^2*d^5*abs(b) + 2145*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^20*a^6*b^3*c*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))^20*a^7*b^2*d^7*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))^22*b^7*c^6*abs(b) + 450*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a*b^6*c^5*d*abs(b) - 675*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a^2*b^5*c^4*d^2*abs(b) + 300*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a^3*b^4*c^3*d^3*abs(b) + 225*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a^4*b^3*c^2*d^4*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))^22*a^5*b^2*c*d^5*abs(b) + 75*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a^6*b*d^6*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^6*a^4*c^3))/b","B",0
626,1,291,0,1.465574," ","integrate(x^2*(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} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{3} d} - \frac{7 \, b^{7} c d^{5} + 9 \, a b^{6} d^{6}}{b^{9} d^{7}}\right)} + \frac{35 \, b^{8} c^{2} d^{4} + 10 \, a b^{7} c d^{5} + 3 \, a^{2} b^{6} d^{6}}{b^{9} d^{7}}\right)} - \frac{3 \, {\left(35 \, b^{9} c^{3} d^{3} - 25 \, a b^{8} c^{2} d^{4} - 7 \, a^{2} b^{7} c d^{5} - 3 \, a^{3} b^{6} d^{6}\right)}}{b^{9} d^{7}}\right)} \sqrt{b x + a} - \frac{3 \, {\left(35 \, b^{4} c^{4} - 60 \, a b^{3} c^{3} d + 18 \, a^{2} b^{2} c^{2} d^{2} + 4 \, a^{3} b c d^{3} + 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} b^{2} 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^3*d) - (7*b^7*c*d^5 + 9*a*b^6*d^6)/(b^9*d^7)) + (35*b^8*c^2*d^4 + 10*a*b^7*c*d^5 + 3*a^2*b^6*d^6)/(b^9*d^7)) - 3*(35*b^9*c^3*d^3 - 25*a*b^8*c^2*d^4 - 7*a^2*b^7*c*d^5 - 3*a^3*b^6*d^6)/(b^9*d^7))*sqrt(b*x + a) - 3*(35*b^4*c^4 - 60*a*b^3*c^3*d + 18*a^2*b^2*c^2*d^2 + 4*a^3*b*c*d^3 + 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)*b^2*d^4))*b/abs(b)","A",0
627,1,213,0,1.493538," ","integrate(x*(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} d} - \frac{5 \, b^{3} c d^{3} + a b^{2} d^{4}}{b^{4} d^{5}}\right)} + \frac{3 \, {\left(5 \, b^{4} c^{2} d^{2} - 4 \, a b^{3} c d^{3} - a^{2} b^{2} d^{4}\right)}}{b^{4} d^{5}}\right)} + \frac{3 \, {\left(5 \, b^{3} c^{3} - 9 \, 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} b 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^2*d) - (5*b^3*c*d^3 + a*b^2*d^4)/(b^4*d^5)) + 3*(5*b^4*c^2*d^2 - 4*a*b^3*c*d^3 - a^2*b^2*d^4)/(b^4*d^5)) + 3*(5*b^3*c^3 - 9*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)*b*d^3))*b/abs(b)","A",0
628,1,139,0,1.468825," ","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
629,-2,0,0,0.000000," ","integrate((b*x+a)^(3/2)/x/(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
630,1,470,0,2.236816," ","integrate((b*x+a)^(3/2)/x^2/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{{\left(\frac{\sqrt{b d} 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)}^{2}\right)}{d} + \frac{{\left(3 \, \sqrt{b d} a b^{2} c - \sqrt{b d} a^{2} b d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c} + \frac{2 \, {\left(\sqrt{b d} a b^{4} c^{2} - 2 \, \sqrt{b d} a^{2} b^{3} c d + \sqrt{b d} a^{3} b^{2} d^{2} - \sqrt{b 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 - \sqrt{b 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\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} c}\right)} b}{{\left| b \right|}}"," ",0,"-(sqrt(b*d)*b*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/d + (3*sqrt(b*d)*a*b^2*c - sqrt(b*d)*a^2*b*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c) + 2*(sqrt(b*d)*a*b^4*c^2 - 2*sqrt(b*d)*a^2*b^3*c*d + sqrt(b*d)*a^3*b^2*d^2 - 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 - 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)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*c))*b/abs(b)","B",0
631,1,1037,0,3.710353," ","integrate((b*x+a)^(3/2)/x^3/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{b {\left(\frac{3 \, {\left(\sqrt{b d} b^{3} c^{2} - 2 \, \sqrt{b d} a b^{2} c d + \sqrt{b d} a^{2} b d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c^{2}} + \frac{2 \, {\left(5 \, \sqrt{b d} b^{9} c^{5} - 23 \, \sqrt{b d} a b^{8} c^{4} d + 42 \, \sqrt{b d} a^{2} b^{7} c^{3} d^{2} - 38 \, \sqrt{b d} a^{3} b^{6} c^{2} d^{3} + 17 \, \sqrt{b d} a^{4} b^{5} c d^{4} - 3 \, \sqrt{b d} a^{5} b^{4} d^{5} - 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)}^{2} b^{7} c^{4} + 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^{6} c^{3} d - 2 \, \sqrt{b 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^{2} - 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)}^{2} a^{3} b^{4} c 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} a^{4} b^{3} d^{4} + 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)}^{4} b^{5} c^{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 b^{4} c^{2} 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)}^{4} a^{2} b^{3} c d^{2} - 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^{3} b^{2} 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)}^{6} b^{3} c^{2} - 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)}^{6} a b^{2} c d + 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)}^{6} a^{2} b d^{2}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} c^{2}}\right)}}{4 \, {\left| b \right|}}"," ",0,"-1/4*b*(3*(sqrt(b*d)*b^3*c^2 - 2*sqrt(b*d)*a*b^2*c*d + sqrt(b*d)*a^2*b*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^2) + 2*(5*sqrt(b*d)*b^9*c^5 - 23*sqrt(b*d)*a*b^8*c^4*d + 42*sqrt(b*d)*a^2*b^7*c^3*d^2 - 38*sqrt(b*d)*a^3*b^6*c^2*d^3 + 17*sqrt(b*d)*a^4*b^5*c*d^4 - 3*sqrt(b*d)*a^5*b^4*d^5 - 15*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 + 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^6*c^3*d - 2*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^2 - 20*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^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*a^4*b^3*d^4 + 15*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 + 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 + 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*b^3*c*d^2 - 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^3*b^2*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))^6*b^3*c^2 - 6*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*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^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*c^2))/abs(b)","B",0
632,1,2135,0,31.369286," ","integrate((b*x+a)^(3/2)/x^4/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{b {\left(\frac{3 \, {\left(\sqrt{b d} b^{4} c^{3} + 3 \, \sqrt{b d} a b^{3} c^{2} d - 9 \, \sqrt{b d} a^{2} b^{2} c d^{2} + 5 \, \sqrt{b d} a^{3} b d^{3}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b c^{3}} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{14} c^{8} - 40 \, \sqrt{b d} a b^{13} c^{7} d + 192 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} - 480 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} + 710 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} - 648 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} + 360 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} - 112 \, \sqrt{b d} a^{7} b^{7} c d^{7} + 15 \, \sqrt{b d} a^{8} b^{6} d^{8} - 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)}^{2} b^{12} c^{7} + 183 \, \sqrt{b 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^{6} d - 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)}^{2} a^{2} b^{10} c^{5} d^{2} + 663 \, \sqrt{b 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^{4} d^{3} - 117 \, \sqrt{b 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^{3} d^{4} - 387 \, \sqrt{b 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^{2} 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)}^{2} a^{6} b^{6} c d^{6} - 75 \, \sqrt{b 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^{5} d^{7} + 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)}^{4} b^{10} c^{6} - 300 \, \sqrt{b 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^{5} d + 474 \, \sqrt{b 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^{4} d^{2} - 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)}^{4} a^{3} b^{7} c^{3} d^{3} + 114 \, \sqrt{b 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^{2} d^{4} - 300 \, \sqrt{b 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} c d^{5} + 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)}^{4} a^{6} b^{4} d^{6} - 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^{8} c^{5} + 202 \, \sqrt{b 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^{4} d - 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)}^{6} a^{2} b^{6} c^{3} d^{2} + 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)}^{6} a^{3} b^{5} c^{2} d^{3} + 130 \, \sqrt{b 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} c d^{4} - 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)}^{6} a^{5} b^{3} d^{5} + 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)}^{8} b^{6} c^{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)}^{8} a b^{5} c^{3} d - 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)}^{8} a^{2} b^{4} c^{2} d^{2} - 60 \, \sqrt{b 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} c d^{3} + 75 \, \sqrt{b 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^{2} d^{4} - 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)}^{10} b^{4} c^{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)}^{10} a b^{3} c^{2} d + 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)}^{10} a^{2} b^{2} c d^{2} - 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)}^{10} a^{3} b d^{3}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a c^{3}}\right)}}{24 \, {\left| b \right|}}"," ",0,"1/24*b*(3*(sqrt(b*d)*b^4*c^3 + 3*sqrt(b*d)*a*b^3*c^2*d - 9*sqrt(b*d)*a^2*b^2*c*d^2 + 5*sqrt(b*d)*a^3*b*d^3)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^3) - 2*(3*sqrt(b*d)*b^14*c^8 - 40*sqrt(b*d)*a*b^13*c^7*d + 192*sqrt(b*d)*a^2*b^12*c^6*d^2 - 480*sqrt(b*d)*a^3*b^11*c^5*d^3 + 710*sqrt(b*d)*a^4*b^10*c^4*d^4 - 648*sqrt(b*d)*a^5*b^9*c^3*d^5 + 360*sqrt(b*d)*a^6*b^8*c^2*d^6 - 112*sqrt(b*d)*a^7*b^7*c*d^7 + 15*sqrt(b*d)*a^8*b^6*d^8 - 15*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^7 + 183*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^6*d - 567*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^5*d^2 + 663*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^4*d^3 - 117*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^3*d^4 - 387*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^2*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))^2*a^6*b^6*c*d^6 - 75*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^5*d^7 + 30*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^6 - 300*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^5*d + 474*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^4*d^2 - 168*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^3*d^3 + 114*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^2*d^4 - 300*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*c*d^5 + 150*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^4*d^6 - 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^8*c^5 + 202*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^4*d - 36*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^3*d^2 + 12*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^2*d^3 + 130*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*c*d^4 - 150*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^3*d^5 + 15*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^4 - 36*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^3*d - 90*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^2*d^2 - 60*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*c*d^3 + 75*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^2*d^4 - 3*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^3 - 9*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^2*d + 27*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*c*d^2 - 15*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*d^3)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a*c^3))/abs(b)","B",0
633,1,3690,0,11.935061," ","integrate((b*x+a)^(3/2)/x^5/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{b {\left(\frac{3 \, {\left(3 \, \sqrt{b d} b^{5} c^{4} + 4 \, \sqrt{b d} a b^{4} c^{3} d + 18 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} - 60 \, \sqrt{b d} a^{3} b^{2} c d^{3} + 35 \, \sqrt{b d} a^{4} b d^{4}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b c^{4}} - \frac{2 \, {\left(9 \, \sqrt{b d} b^{19} c^{11} - 57 \, \sqrt{b d} a b^{18} c^{10} d - 13 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} + 1181 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} - 5110 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} + 11606 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} - 16618 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} + 15818 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} - 10051 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} + 4115 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} - 985 \, \sqrt{b d} a^{10} b^{9} c d^{10} + 105 \, \sqrt{b d} a^{11} b^{8} d^{11} - 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)}^{2} b^{17} c^{10} + 198 \, \sqrt{b 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^{16} c^{9} d + 1229 \, \sqrt{b 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^{15} c^{8} d^{2} - 7864 \, \sqrt{b 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^{14} c^{7} d^{3} + 17490 \, \sqrt{b 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^{13} c^{6} d^{4} - 17692 \, \sqrt{b 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^{12} c^{5} d^{5} + 3602 \, \sqrt{b 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^{11} c^{4} d^{6} + 10056 \, \sqrt{b 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^{10} c^{3} d^{7} - 10771 \, \sqrt{b 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^{9} c^{2} d^{8} + 4550 \, \sqrt{b 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^{9} b^{8} c d^{9} - 735 \, \sqrt{b 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^{10} b^{7} d^{10} + 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)}^{4} b^{15} c^{9} - 123 \, \sqrt{b 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^{14} c^{8} d - 5068 \, \sqrt{b 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^{13} c^{7} d^{2} + 16164 \, \sqrt{b 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^{12} c^{6} d^{3} - 17466 \, \sqrt{b 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^{11} c^{5} d^{4} + 5510 \, \sqrt{b 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^{10} c^{4} d^{5} - 2268 \, \sqrt{b 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^{9} c^{3} d^{6} + 9012 \, \sqrt{b 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^{8} c^{2} d^{7} - 8155 \, \sqrt{b 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^{8} b^{7} c d^{8} + 2205 \, \sqrt{b 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^{9} b^{6} d^{9} - 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)}^{6} b^{13} c^{8} - 360 \, \sqrt{b 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^{12} c^{7} d + 7660 \, \sqrt{b 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^{11} c^{6} d^{2} - 12056 \, \sqrt{b 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^{10} c^{5} d^{3} + 4606 \, \sqrt{b 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^{9} c^{4} d^{4} - 344 \, \sqrt{b 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^{8} c^{3} d^{5} - 2516 \, \sqrt{b 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^{7} c^{2} d^{6} + 7000 \, \sqrt{b 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^{7} b^{6} c d^{7} - 3675 \, \sqrt{b 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^{8} b^{5} d^{8} + 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)}^{8} b^{11} c^{7} + 705 \, \sqrt{b 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^{10} c^{6} d - 4613 \, \sqrt{b 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^{9} c^{5} d^{2} + 1225 \, \sqrt{b 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^{8} c^{4} d^{3} + 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)}^{8} a^{4} b^{7} c^{3} d^{4} - 485 \, \sqrt{b 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^{6} c^{2} d^{5} - 2975 \, \sqrt{b 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^{6} b^{5} c d^{6} + 3675 \, \sqrt{b 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^{7} b^{4} d^{7} - 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)}^{10} b^{9} c^{6} - 498 \, \sqrt{b 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^{8} c^{5} d + 397 \, \sqrt{b 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^{7} c^{4} d^{2} + 2052 \, \sqrt{b 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^{6} c^{3} d^{3} + 1581 \, \sqrt{b 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^{5} c^{2} d^{4} + 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)}^{10} a^{5} b^{4} c d^{5} - 2205 \, \sqrt{b 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^{6} b^{3} d^{6} + 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)}^{12} b^{7} c^{5} + 147 \, \sqrt{b 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^{6} c^{4} d + 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)}^{12} a^{2} b^{5} c^{3} d^{2} - 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)}^{12} a^{3} b^{4} c^{2} d^{3} - 525 \, \sqrt{b 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^{4} b^{3} c d^{4} + 735 \, \sqrt{b 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^{5} b^{2} d^{5} - 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)}^{14} b^{5} c^{4} - 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)}^{14} a b^{4} c^{3} d - 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)}^{14} a^{2} b^{3} c^{2} d^{2} + 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)}^{14} a^{3} b^{2} c d^{3} - 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)}^{14} a^{4} b d^{4}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a^{2} c^{4}}\right)}}{192 \, {\left| b \right|}}"," ",0,"-1/192*b*(3*(3*sqrt(b*d)*b^5*c^4 + 4*sqrt(b*d)*a*b^4*c^3*d + 18*sqrt(b*d)*a^2*b^3*c^2*d^2 - 60*sqrt(b*d)*a^3*b^2*c*d^3 + 35*sqrt(b*d)*a^4*b*d^4)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c^4) - 2*(9*sqrt(b*d)*b^19*c^11 - 57*sqrt(b*d)*a*b^18*c^10*d - 13*sqrt(b*d)*a^2*b^17*c^9*d^2 + 1181*sqrt(b*d)*a^3*b^16*c^8*d^3 - 5110*sqrt(b*d)*a^4*b^15*c^7*d^4 + 11606*sqrt(b*d)*a^5*b^14*c^6*d^5 - 16618*sqrt(b*d)*a^6*b^13*c^5*d^6 + 15818*sqrt(b*d)*a^7*b^12*c^4*d^7 - 10051*sqrt(b*d)*a^8*b^11*c^3*d^8 + 4115*sqrt(b*d)*a^9*b^10*c^2*d^9 - 985*sqrt(b*d)*a^10*b^9*c*d^10 + 105*sqrt(b*d)*a^11*b^8*d^11 - 63*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^17*c^10 + 198*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^16*c^9*d + 1229*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^15*c^8*d^2 - 7864*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^14*c^7*d^3 + 17490*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^13*c^6*d^4 - 17692*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^12*c^5*d^5 + 3602*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^11*c^4*d^6 + 10056*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^10*c^3*d^7 - 10771*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^9*c^2*d^8 + 4550*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9 - 735*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^10*b^7*d^10 + 189*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^15*c^9 - 123*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^14*c^8*d - 5068*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^13*c^7*d^2 + 16164*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^12*c^6*d^3 - 17466*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^11*c^5*d^4 + 5510*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^10*c^4*d^5 - 2268*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^9*c^3*d^6 + 9012*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^8*c^2*d^7 - 8155*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*d^8 + 2205*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^9*b^6*d^9 - 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^13*c^8 - 360*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^12*c^7*d + 7660*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^11*c^6*d^2 - 12056*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^10*c^5*d^3 + 4606*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^9*c^4*d^4 - 344*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^8*c^3*d^5 - 2516*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^7*c^2*d^6 + 7000*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*d^7 - 3675*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^5*d^8 + 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^11*c^7 + 705*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^10*c^6*d - 4613*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^9*c^5*d^2 + 1225*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^8*c^4*d^3 + 105*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^7*c^3*d^4 - 485*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^6*c^2*d^5 - 2975*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^5*c*d^6 + 3675*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^4*d^7 - 189*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^9*c^6 - 498*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^8*c^5*d + 397*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^7*c^4*d^2 + 2052*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^6*c^3*d^3 + 1581*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^5*c^2*d^4 + 910*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*c*d^5 - 2205*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^6*b^3*d^6 + 63*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^7*c^5 + 147*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^6*c^4*d + 462*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^5*c^3*d^2 - 882*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^4*c^2*d^3 - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^3*c*d^4 + 735*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^5*b^2*d^5 - 9*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^5*c^4 - 12*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^4*c^3*d - 54*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^3*c^2*d^2 + 180*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^2*c*d^3 - 105*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b*d^4)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a^2*c^4))/abs(b)","B",0
634,1,282,0,1.623408," ","integrate(x^2*(b*x+a)^(3/2)/(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)}}{d {\left| b \right|}} - \frac{7 \, b^{3} c d^{5} + 5 \, a b^{2} d^{6}}{b^{2} d^{7} {\left| b \right|}}\right)} + \frac{35 \, b^{4} c^{2} d^{4} - 10 \, a b^{3} c d^{5} - a^{2} b^{2} d^{6}}{b^{2} d^{7} {\left| b \right|}}\right)} + \frac{3 \, {\left(35 \, b^{5} c^{3} d^{3} - 45 \, a b^{4} c^{2} d^{4} + 9 \, a^{2} b^{3} c d^{5} + a^{3} b^{2} d^{6}\right)}}{b^{2} 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{{\left(35 \, b^{3} c^{3} - 45 \, a b^{2} c^{2} d + 9 \, 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)}{8 \, \sqrt{b d} d^{4} {\left| b \right|}}"," ",0,"1/24*((b*x + a)*(2*(b*x + a)*(4*(b*x + a)/(d*abs(b)) - (7*b^3*c*d^5 + 5*a*b^2*d^6)/(b^2*d^7*abs(b))) + (35*b^4*c^2*d^4 - 10*a*b^3*c*d^5 - a^2*b^2*d^6)/(b^2*d^7*abs(b))) + 3*(35*b^5*c^3*d^3 - 45*a*b^4*c^2*d^4 + 9*a^2*b^3*c*d^5 + a^3*b^2*d^6)/(b^2*d^7*abs(b)))*sqrt(b*x + a)/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) + 1/8*(35*b^3*c^3 - 45*a*b^2*c^2*d + 9*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^4*abs(b))","A",0
635,1,206,0,1.405049," ","integrate(x*(b*x+a)^(3/2)/(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)} {\left| b \right|}}{b d} - \frac{5 \, b^{2} c d^{3} {\left| b \right|} - a b d^{4} {\left| b \right|}}{b^{2} d^{5}}\right)} - \frac{3 \, {\left(5 \, b^{3} c^{2} d^{2} {\left| b \right|} - 6 \, a b^{2} c d^{3} {\left| b \right|} + a^{2} b d^{4} {\left| b \right|}\right)}}{b^{2} d^{5}}\right)}}{4 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{3 \, {\left(5 \, b^{2} c^{2} {\left| b \right|} - 6 \, a b c d {\left| b \right|} + 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|}\right)}{4 \, \sqrt{b d} b d^{3}}"," ",0,"1/4*sqrt(b*x + a)*((b*x + a)*(2*(b*x + a)*abs(b)/(b*d) - (5*b^2*c*d^3*abs(b) - a*b*d^4*abs(b))/(b^2*d^5)) - 3*(5*b^3*c^2*d^2*abs(b) - 6*a*b^2*c*d^3*abs(b) + a^2*b*d^4*abs(b))/(b^2*d^5))/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) - 3/4*(5*b^2*c^2*abs(b) - 6*a*b*c*d*abs(b) + a^2*d^2*abs(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)*b*d^3)","A",0
636,1,137,0,1.158306," ","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
637,1,205,0,1.644599," ","integrate((b*x+a)^(3/2)/x/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b d} a^{2} b \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} c {\left| b \right|}} - \frac{\sqrt{b d} 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)}^{2}\right)}{d^{2} {\left| b \right|}} - \frac{2 \, {\left(b^{3} c {\left| b \right|} - a b^{2} d {\left| b \right|}\right)} \sqrt{b x + a}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} b^{2} c d}"," ",0,"-2*sqrt(b*d)*a^2*b*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*c*abs(b)) - sqrt(b*d)*b^2*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(d^2*abs(b)) - 2*(b^3*c*abs(b) - a*b^2*d*abs(b))*sqrt(b*x + a)/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*b^2*c*d)","B",0
638,1,475,0,6.531735," ","integrate((b*x+a)^(3/2)/x^2/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(b^{3} c - a b^{2} d\right)} \sqrt{b x + a}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} c^{2} {\left| b \right|}} - \frac{3 \, {\left(\sqrt{b d} a b^{3} c - \sqrt{b d} a^{2} b^{2} d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c^{2} {\left| b \right|}} - \frac{2 \, {\left(\sqrt{b d} a b^{5} c^{2} - 2 \, \sqrt{b d} a^{2} b^{4} c d + \sqrt{b d} a^{3} b^{3} d^{2} - \sqrt{b 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 - \sqrt{b 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} d\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} c^{2} {\left| b \right|}}"," ",0,"2*(b^3*c - a*b^2*d)*sqrt(b*x + a)/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*c^2*abs(b)) - 3*(sqrt(b*d)*a*b^3*c - sqrt(b*d)*a^2*b^2*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^2*abs(b)) - 2*(sqrt(b*d)*a*b^5*c^2 - 2*sqrt(b*d)*a^2*b^4*c*d + sqrt(b*d)*a^3*b^3*d^2 - 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 - 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*d)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*c^2*abs(b))","B",0
639,1,1096,0,15.565604," ","integrate((b*x+a)^(3/2)/x^3/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b^{3} c d - a b^{2} d^{2}\right)} \sqrt{b x + a}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} c^{3} {\left| b \right|}} - \frac{3 \, {\left(\sqrt{b d} b^{4} c^{2} - 6 \, \sqrt{b d} a b^{3} c d + 5 \, \sqrt{b d} a^{2} b^{2} d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} b c^{3} {\left| b \right|}} - \frac{5 \, \sqrt{b d} b^{10} c^{5} - 27 \, \sqrt{b d} a b^{9} c^{4} d + 58 \, \sqrt{b d} a^{2} b^{8} c^{3} d^{2} - 62 \, \sqrt{b d} a^{3} b^{7} c^{2} d^{3} + 33 \, \sqrt{b d} a^{4} b^{6} c d^{4} - 7 \, \sqrt{b d} a^{5} b^{5} d^{5} - 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)}^{2} b^{8} c^{4} + 40 \, \sqrt{b 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 - 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)}^{2} a^{2} b^{6} c^{2} d^{2} - 32 \, \sqrt{b 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^{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^{4} b^{4} d^{4} + 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)}^{4} b^{6} c^{3} - 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)}^{4} a b^{5} c^{2} d + \sqrt{b 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^{2} - 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^{3} 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)}^{6} b^{4} c^{2} - 2 \, \sqrt{b 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 + 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)}^{6} a^{2} b^{2} d^{2}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} c^{3} {\left| b \right|}}"," ",0,"-2*(b^3*c*d - a*b^2*d^2)*sqrt(b*x + a)/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*c^3*abs(b)) - 3/4*(sqrt(b*d)*b^4*c^2 - 6*sqrt(b*d)*a*b^3*c*d + 5*sqrt(b*d)*a^2*b^2*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^3*abs(b)) - 1/2*(5*sqrt(b*d)*b^10*c^5 - 27*sqrt(b*d)*a*b^9*c^4*d + 58*sqrt(b*d)*a^2*b^8*c^3*d^2 - 62*sqrt(b*d)*a^3*b^7*c^2*d^3 + 33*sqrt(b*d)*a^4*b^6*c*d^4 - 7*sqrt(b*d)*a^5*b^5*d^5 - 15*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 + 40*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 - 14*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^2 - 32*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^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^4*b^4*d^4 + 15*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 - 11*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 + 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^2 - 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^3*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))^6*b^4*c^2 - 2*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 + 7*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^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*c^3*abs(b))","B",0
640,1,2195,0,84.096988," ","integrate((b*x+a)^(3/2)/x^4/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(b^{3} c d^{2} - a b^{2} d^{3}\right)} \sqrt{b x + a}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} c^{4} {\left| b \right|}} + \frac{{\left(\sqrt{b d} b^{5} c^{3} + 9 \, \sqrt{b d} a b^{4} c^{2} d - 45 \, \sqrt{b d} a^{2} b^{3} c d^{2} + 35 \, \sqrt{b d} a^{3} b^{2} d^{3}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{8 \, \sqrt{-a b c d} a b c^{4} {\left| b \right|}} - \frac{3 \, \sqrt{b d} b^{15} c^{8} - 70 \, \sqrt{b d} a b^{14} c^{7} d + 414 \, \sqrt{b d} a^{2} b^{13} c^{6} d^{2} - 1182 \, \sqrt{b d} a^{3} b^{12} c^{5} d^{3} + 1940 \, \sqrt{b d} a^{4} b^{11} c^{4} d^{4} - 1938 \, \sqrt{b d} a^{5} b^{10} c^{3} d^{5} + 1170 \, \sqrt{b d} a^{6} b^{9} c^{2} d^{6} - 394 \, \sqrt{b d} a^{7} b^{8} c d^{7} + 57 \, \sqrt{b d} a^{8} b^{7} d^{8} - 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)}^{2} b^{13} c^{7} + 333 \, \sqrt{b 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^{6} d - 1251 \, \sqrt{b 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^{5} d^{2} + 1689 \, \sqrt{b 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^{4} d^{3} - 381 \, \sqrt{b 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^{3} d^{4} - 1161 \, \sqrt{b 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} c^{2} d^{5} + 1071 \, \sqrt{b 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^{7} c d^{6} - 285 \, \sqrt{b 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^{6} d^{7} + 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)}^{4} b^{11} c^{6} - 600 \, \sqrt{b 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^{5} d + 1182 \, \sqrt{b 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^{4} d^{2} - 432 \, \sqrt{b 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^{3} d^{3} + 138 \, \sqrt{b 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} c^{2} d^{4} - 888 \, \sqrt{b 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^{6} c d^{5} + 570 \, \sqrt{b 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^{5} d^{6} - 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^{9} c^{5} + 502 \, \sqrt{b 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^{4} d - 276 \, \sqrt{b 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^{3} d^{2} - 60 \, \sqrt{b 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} c^{2} d^{3} + 178 \, \sqrt{b 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^{5} c d^{4} - 570 \, \sqrt{b 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^{4} d^{5} + 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)}^{8} b^{7} c^{4} - 186 \, \sqrt{b 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^{3} d - 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)}^{8} a^{2} b^{5} c^{2} d^{2} - 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)}^{8} a^{3} b^{4} c d^{3} + 285 \, \sqrt{b 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^{3} d^{4} - 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)}^{10} b^{5} c^{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)}^{10} a b^{4} c^{2} d + 39 \, \sqrt{b 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^{3} c d^{2} - 57 \, \sqrt{b 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^{2} d^{3}}{12 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a c^{4} {\left| b \right|}}"," ",0,"2*(b^3*c*d^2 - a*b^2*d^3)*sqrt(b*x + a)/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*c^4*abs(b)) + 1/8*(sqrt(b*d)*b^5*c^3 + 9*sqrt(b*d)*a*b^4*c^2*d - 45*sqrt(b*d)*a^2*b^3*c*d^2 + 35*sqrt(b*d)*a^3*b^2*d^3)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^4*abs(b)) - 1/12*(3*sqrt(b*d)*b^15*c^8 - 70*sqrt(b*d)*a*b^14*c^7*d + 414*sqrt(b*d)*a^2*b^13*c^6*d^2 - 1182*sqrt(b*d)*a^3*b^12*c^5*d^3 + 1940*sqrt(b*d)*a^4*b^11*c^4*d^4 - 1938*sqrt(b*d)*a^5*b^10*c^3*d^5 + 1170*sqrt(b*d)*a^6*b^9*c^2*d^6 - 394*sqrt(b*d)*a^7*b^8*c*d^7 + 57*sqrt(b*d)*a^8*b^7*d^8 - 15*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^7 + 333*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^6*d - 1251*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^5*d^2 + 1689*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^4*d^3 - 381*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^3*d^4 - 1161*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*c^2*d^5 + 1071*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^7*c*d^6 - 285*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^6*d^7 + 30*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^6 - 600*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^5*d + 1182*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^4*d^2 - 432*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^3*d^3 + 138*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*c^2*d^4 - 888*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^6*c*d^5 + 570*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^5*d^6 - 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^9*c^5 + 502*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^4*d - 276*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^3*d^2 - 60*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*c^2*d^3 + 178*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^5*c*d^4 - 570*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^4*d^5 + 15*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^4 - 186*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^3*d - 108*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*c^2*d^2 - 6*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^4*c*d^3 + 285*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^3*d^4 - 3*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^3 + 21*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*c^2*d + 39*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^3*c*d^2 - 57*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^2*d^3)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a*c^4*abs(b))","B",0
641,1,393,0,2.065738," ","integrate(x^2*(b*x+a)^(3/2)/(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^{4} c d^{7} {\left| b \right|} - a b^{3} d^{8} {\left| b \right|}} - \frac{7 \, b^{7} c^{2} d^{5} - 6 \, a b^{6} c d^{6} - a^{2} b^{5} d^{7}}{b^{4} c d^{7} {\left| b \right|} - a b^{3} d^{8} {\left| b \right|}}\right)} - \frac{4 \, {\left(35 \, b^{8} c^{3} d^{4} - 65 \, a b^{7} c^{2} d^{5} + 33 \, a^{2} b^{6} c d^{6} - 3 \, a^{3} b^{5} d^{7}\right)}}{b^{4} c d^{7} {\left| b \right|} - a b^{3} d^{8} {\left| b \right|}}\right)} {\left(b x + a\right)} - \frac{3 \, {\left(35 \, b^{9} c^{4} d^{3} - 100 \, a b^{8} c^{3} d^{4} + 98 \, a^{2} b^{7} c^{2} d^{5} - 36 \, a^{3} b^{6} c d^{6} + 3 \, a^{4} b^{5} d^{7}\right)}}{b^{4} c d^{7} {\left| b \right|} - a b^{3} 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{{\left(35 \, b^{3} c^{2} - 30 \, 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)}{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^4*c*d^7*abs(b) - a*b^3*d^8*abs(b)) - (7*b^7*c^2*d^5 - 6*a*b^6*c*d^6 - a^2*b^5*d^7)/(b^4*c*d^7*abs(b) - a*b^3*d^8*abs(b))) - 4*(35*b^8*c^3*d^4 - 65*a*b^7*c^2*d^5 + 33*a^2*b^6*c*d^6 - 3*a^3*b^5*d^7)/(b^4*c*d^7*abs(b) - a*b^3*d^8*abs(b)))*(b*x + a) - 3*(35*b^9*c^4*d^3 - 100*a*b^8*c^3*d^4 + 98*a^2*b^7*c^2*d^5 - 36*a^3*b^6*c*d^6 + 3*a^4*b^5*d^7)/(b^4*c*d^7*abs(b) - a*b^3*d^8*abs(b)))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 1/4*(35*b^3*c^2 - 30*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^4*abs(b))","A",0
642,1,286,0,1.888359," ","integrate(x*(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{{\left({\left(b x + a\right)} {\left(\frac{3 \, {\left(b^{5} c d^{4} {\left| b \right|} - a b^{4} d^{5} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{4} c d^{5} - a b^{3} d^{6}} + \frac{4 \, {\left(5 \, b^{6} c^{2} d^{3} {\left| b \right|} - 8 \, a b^{5} c d^{4} {\left| b \right|} + 3 \, a^{2} b^{4} d^{5} {\left| b \right|}\right)}}{b^{4} c d^{5} - a b^{3} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{7} c^{3} d^{2} {\left| b \right|} - 13 \, a b^{6} c^{2} d^{3} {\left| b \right|} + 11 \, a^{2} b^{5} c d^{4} {\left| b \right|} - 3 \, a^{3} b^{4} d^{5} {\left| b \right|}\right)}}{b^{4} c d^{5} - a b^{3} d^{6}}\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{{\left(5 \, b c {\left| b \right|} - 3 \, 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|}\right)}{\sqrt{b d} d^{3}}"," ",0,"1/3*((b*x + a)*(3*(b^5*c*d^4*abs(b) - a*b^4*d^5*abs(b))*(b*x + a)/(b^4*c*d^5 - a*b^3*d^6) + 4*(5*b^6*c^2*d^3*abs(b) - 8*a*b^5*c*d^4*abs(b) + 3*a^2*b^4*d^5*abs(b))/(b^4*c*d^5 - a*b^3*d^6)) + 3*(5*b^7*c^3*d^2*abs(b) - 13*a*b^6*c^2*d^3*abs(b) + 11*a^2*b^5*c*d^4*abs(b) - 3*a^3*b^4*d^5*abs(b))/(b^4*c*d^5 - a*b^3*d^6))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + (5*b*c*abs(b) - 3*a*d*abs(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)*d^3)","A",0
643,1,181,0,1.753107," ","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
644,1,261,0,2.009207," ","integrate((b*x+a)^(3/2)/x/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b d} a^{2} b \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} c^{2} {\left| b \right|}} + \frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(b^{5} c^{4} d {\left| b \right|} + 2 \, a b^{4} c^{3} d^{2} {\left| b \right|} - 3 \, a^{2} b^{3} c^{2} d^{3} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{3} c^{5} d - a b^{2} c^{4} d^{2}} + \frac{3 \, {\left(a b^{5} c^{4} d {\left| b \right|} - 2 \, a^{2} b^{4} c^{3} d^{2} {\left| b \right|} + a^{3} b^{3} c^{2} d^{3} {\left| b \right|}\right)}}{b^{3} c^{5} d - a b^{2} c^{4} d^{2}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}}"," ",0,"-2*sqrt(b*d)*a^2*b*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*c^2*abs(b)) + 2/3*sqrt(b*x + a)*((b^5*c^4*d*abs(b) + 2*a*b^4*c^3*d^2*abs(b) - 3*a^2*b^3*c^2*d^3*abs(b))*(b*x + a)/(b^3*c^5*d - a*b^2*c^4*d^2) + 3*(a*b^5*c^4*d*abs(b) - 2*a^2*b^4*c^3*d^2*abs(b) + a^3*b^3*c^2*d^3*abs(b))/(b^3*c^5*d - a*b^2*c^4*d^2))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2)","B",0
645,1,612,0,8.555804," ","integrate((b*x+a)^(3/2)/x^2/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{2 \, {\left(b^{5} c^{5} d^{2} {\left| b \right|} - 4 \, a b^{4} c^{4} d^{3} {\left| b \right|} + 3 \, a^{2} b^{3} c^{3} d^{4} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{3} c^{7} d - a b^{2} c^{6} d^{2}} + \frac{3 \, {\left(b^{6} c^{6} d {\left| b \right|} - 4 \, a b^{5} c^{5} d^{2} {\left| b \right|} + 5 \, a^{2} b^{4} c^{4} d^{3} {\left| b \right|} - 2 \, a^{3} b^{3} c^{3} d^{4} {\left| b \right|}\right)}}{b^{3} c^{7} d - a b^{2} c^{6} d^{2}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{{\left(3 \, \sqrt{b d} a b^{3} c - 5 \, \sqrt{b d} a^{2} b^{2} d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c^{3} {\left| b \right|}} - \frac{2 \, {\left(\sqrt{b d} a b^{5} c^{2} - 2 \, \sqrt{b d} a^{2} b^{4} c d + \sqrt{b d} a^{3} b^{3} d^{2} - \sqrt{b 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 - \sqrt{b 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} d\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} c^{3} {\left| b \right|}}"," ",0,"2/3*sqrt(b*x + a)*(2*(b^5*c^5*d^2*abs(b) - 4*a*b^4*c^4*d^3*abs(b) + 3*a^2*b^3*c^3*d^4*abs(b))*(b*x + a)/(b^3*c^7*d - a*b^2*c^6*d^2) + 3*(b^6*c^6*d*abs(b) - 4*a*b^5*c^5*d^2*abs(b) + 5*a^2*b^4*c^4*d^3*abs(b) - 2*a^3*b^3*c^3*d^4*abs(b))/(b^3*c^7*d - a*b^2*c^6*d^2))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - (3*sqrt(b*d)*a*b^3*c - 5*sqrt(b*d)*a^2*b^2*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^3*abs(b)) - 2*(sqrt(b*d)*a*b^5*c^2 - 2*sqrt(b*d)*a^2*b^4*c*d + sqrt(b*d)*a^3*b^3*d^2 - 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 - 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*d)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*c^3*abs(b))","B",0
646,1,1234,0,11.762301," ","integrate((b*x+a)^(3/2)/x^3/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(5 \, b^{5} c^{6} d^{3} {\left| b \right|} - 14 \, a b^{4} c^{5} d^{4} {\left| b \right|} + 9 \, a^{2} b^{3} c^{4} d^{5} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{3} c^{9} d - a b^{2} c^{8} d^{2}} + \frac{3 \, {\left(2 \, b^{6} c^{7} d^{2} {\left| b \right|} - 7 \, a b^{5} c^{6} d^{3} {\left| b \right|} + 8 \, a^{2} b^{4} c^{5} d^{4} {\left| b \right|} - 3 \, a^{3} b^{3} c^{4} d^{5} {\left| b \right|}\right)}}{b^{3} c^{9} d - a b^{2} c^{8} d^{2}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{{\left(3 \, \sqrt{b d} b^{4} c^{2} - 30 \, \sqrt{b d} a b^{3} c d + 35 \, \sqrt{b d} a^{2} b^{2} d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} b c^{4} {\left| b \right|}} - \frac{5 \, \sqrt{b d} b^{10} c^{5} - 31 \, \sqrt{b d} a b^{9} c^{4} d + 74 \, \sqrt{b d} a^{2} b^{8} c^{3} d^{2} - 86 \, \sqrt{b d} a^{3} b^{7} c^{2} d^{3} + 49 \, \sqrt{b d} a^{4} b^{6} c d^{4} - 11 \, \sqrt{b d} a^{5} b^{5} d^{5} - 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)}^{2} b^{8} c^{4} + 52 \, \sqrt{b 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 - 26 \, \sqrt{b 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^{2} - 44 \, \sqrt{b 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^{3} + 33 \, \sqrt{b 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^{4} + 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)}^{4} b^{6} c^{3} - 23 \, \sqrt{b 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 - 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)}^{4} a^{2} b^{4} c d^{2} - 33 \, \sqrt{b 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^{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)}^{6} b^{4} c^{2} + 2 \, \sqrt{b 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 + 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)}^{6} a^{2} b^{2} d^{2}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} c^{4} {\left| b \right|}}"," ",0,"-2/3*sqrt(b*x + a)*((5*b^5*c^6*d^3*abs(b) - 14*a*b^4*c^5*d^4*abs(b) + 9*a^2*b^3*c^4*d^5*abs(b))*(b*x + a)/(b^3*c^9*d - a*b^2*c^8*d^2) + 3*(2*b^6*c^7*d^2*abs(b) - 7*a*b^5*c^6*d^3*abs(b) + 8*a^2*b^4*c^5*d^4*abs(b) - 3*a^3*b^3*c^4*d^5*abs(b))/(b^3*c^9*d - a*b^2*c^8*d^2))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 1/4*(3*sqrt(b*d)*b^4*c^2 - 30*sqrt(b*d)*a*b^3*c*d + 35*sqrt(b*d)*a^2*b^2*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^4*abs(b)) - 1/2*(5*sqrt(b*d)*b^10*c^5 - 31*sqrt(b*d)*a*b^9*c^4*d + 74*sqrt(b*d)*a^2*b^8*c^3*d^2 - 86*sqrt(b*d)*a^3*b^7*c^2*d^3 + 49*sqrt(b*d)*a^4*b^6*c*d^4 - 11*sqrt(b*d)*a^5*b^5*d^5 - 15*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 + 52*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 - 26*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^2 - 44*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^3 + 33*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^4 + 15*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 - 23*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 - 7*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^2 - 33*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^3 - 5*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 + 2*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 + 11*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^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*c^4*abs(b))","B",0
647,1,1361,0,2.583159," ","integrate(x^2*(b*x+a)^(5/2)*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{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 {\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} {\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} {\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 {\left| b \right|}}{7680 \, b}"," ",0,"1/7680*(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*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*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*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*abs(b))/b","B",0
648,1,1011,0,2.156697," ","integrate(x*(b*x+a)^(5/2)*(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{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 {\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} {\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 {\left| b \right|} + \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} {\left| b \right|}}{b^{3}}}{1920 \, b}"," ",0,"1/1920*(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*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*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*abs(b) + 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*abs(b)/b^3)/b","B",0
649,1,726,0,2.016440," ","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
650,-2,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(d*x+c)^(1/2)/x,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.46"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
651,1,578,0,3.473604," ","integrate((b*x+a)^(5/2)*(d*x+c)^(1/2)/x^2,x, algorithm=""giac"")","\frac{2 \, \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| b \right|} + \frac{b c d {\left| b \right|} + 7 \, a d^{2} {\left| b \right|}}{d^{2}}\right)} - \frac{8 \, {\left(5 \, \sqrt{b d} a^{2} b^{2} c {\left| b \right|} + \sqrt{b d} a^{3} b d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{16 \, {\left(\sqrt{b d} a^{2} b^{4} c^{2} {\left| b \right|} - 2 \, \sqrt{b d} a^{3} b^{3} c d {\left| b \right|} + \sqrt{b d} a^{4} b^{2} d^{2} {\left| b \right|} - \sqrt{b 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 {\left| b \right|} - \sqrt{b 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 {\left| b \right|}\right)}}{b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4}} + \frac{{\left(\sqrt{b d} b^{2} c^{2} {\left| b \right|} - 10 \, \sqrt{b d} a b c d {\left| b \right|} - 15 \, \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)}{d^{2}}}{8 \, b}"," ",0,"1/8*(2*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*abs(b) + (b*c*d*abs(b) + 7*a*d^2*abs(b))/d^2) - 8*(5*sqrt(b*d)*a^2*b^2*c*abs(b) + sqrt(b*d)*a^3*b*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 16*(sqrt(b*d)*a^2*b^4*c^2*abs(b) - 2*sqrt(b*d)*a^3*b^3*c*d*abs(b) + sqrt(b*d)*a^4*b^2*d^2*abs(b) - 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*abs(b) - 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*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4) + (sqrt(b*d)*b^2*c^2*abs(b) - 10*sqrt(b*d)*a*b*c*d*abs(b) - 15*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)/d^2)/b","B",0
652,1,1197,0,15.811878," ","integrate((b*x+a)^(5/2)*(d*x+c)^(1/2)/x^3,x, algorithm=""giac"")","\frac{4 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} b {\left| b \right|} - \frac{2 \, {\left(\sqrt{b d} b^{2} c {\left| b \right|} + 5 \, \sqrt{b d} a b 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)}{d} - \frac{{\left(15 \, \sqrt{b d} a b^{3} c^{2} {\left| b \right|} + 10 \, \sqrt{b d} a^{2} b^{2} c d {\left| b \right|} - \sqrt{b d} a^{3} b d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c} - \frac{2 \, {\left(9 \, \sqrt{b d} a b^{9} c^{5} {\left| b \right|} - 35 \, \sqrt{b d} a^{2} b^{8} c^{4} d {\left| b \right|} + 50 \, \sqrt{b d} a^{3} b^{7} c^{3} d^{2} {\left| b \right|} - 30 \, \sqrt{b d} a^{4} b^{6} c^{2} d^{3} {\left| b \right|} + 5 \, \sqrt{b d} a^{5} b^{5} c d^{4} {\left| b \right|} + \sqrt{b d} a^{6} b^{4} d^{5} {\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)}^{2} a b^{7} c^{4} {\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^{2} b^{6} c^{3} d {\left| b \right|} + 22 \, \sqrt{b 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^{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)}^{2} a^{4} b^{4} c 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)}^{2} a^{5} b^{3} d^{4} {\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 b^{5} c^{3} {\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^{2} b^{4} c^{2} d {\left| b \right|} + 29 \, \sqrt{b 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} 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)}^{4} a^{4} b^{2} d^{3} {\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)}^{6} a b^{3} c^{2} {\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)}^{6} a^{2} b^{2} c d {\left| b \right|} - \sqrt{b 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 d^{2} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} c}}{4 \, b}"," ",0,"1/4*(4*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*b*abs(b) - 2*(sqrt(b*d)*b^2*c*abs(b) + 5*sqrt(b*d)*a*b*d*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/d - (15*sqrt(b*d)*a*b^3*c^2*abs(b) + 10*sqrt(b*d)*a^2*b^2*c*d*abs(b) - sqrt(b*d)*a^3*b*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c) - 2*(9*sqrt(b*d)*a*b^9*c^5*abs(b) - 35*sqrt(b*d)*a^2*b^8*c^4*d*abs(b) + 50*sqrt(b*d)*a^3*b^7*c^3*d^2*abs(b) - 30*sqrt(b*d)*a^4*b^6*c^2*d^3*abs(b) + 5*sqrt(b*d)*a^5*b^5*c*d^4*abs(b) + sqrt(b*d)*a^6*b^4*d^5*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))^2*a*b^7*c^4*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^2*b^6*c^3*d*abs(b) + 22*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^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))^2*a^4*b^4*c*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))^2*a^5*b^3*d^4*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*b^5*c^3*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^2*b^4*c^2*d*abs(b) + 29*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*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))^4*a^4*b^2*d^3*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))^6*a*b^3*c^2*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))^6*a^2*b^2*c*d*abs(b) - 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*d^2*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*c))/b","B",0
653,1,2265,0,98.959450," ","integrate((b*x+a)^(5/2)*(d*x+c)^(1/2)/x^4,x, algorithm=""giac"")","-\frac{24 \, \sqrt{b d} b^{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) + \frac{3 \, {\left(5 \, \sqrt{b d} b^{4} c^{3} {\left| b \right|} + 15 \, \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} - 5 \, \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} + \sqrt{b d} a^{3} b d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c^{2}} + \frac{2 \, {\left(33 \, \sqrt{b d} b^{14} c^{8} {\left| b \right|} - 184 \, \sqrt{b d} a b^{13} c^{7} d {\left| b \right|} + 408 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} {\left| b \right|} - 432 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} {\left| b \right|} + 170 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} {\left| b \right|} + 72 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} {\left| b \right|} - 96 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} {\left| b \right|} + 32 \, \sqrt{b d} a^{7} b^{7} c d^{7} {\left| b \right|} - 3 \, \sqrt{b d} a^{8} b^{6} 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} b^{12} c^{7} {\left| b \right|} + 477 \, \sqrt{b 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^{6} d {\left| b \right|} - 309 \, \sqrt{b 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^{5} d^{2} {\left| b \right|} - 219 \, \sqrt{b 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^{4} d^{3} {\left| b \right|} + 201 \, \sqrt{b 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^{3} d^{4} {\left| b \right|} + 111 \, \sqrt{b 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^{2} d^{5} {\left| b \right|} - 111 \, \sqrt{b 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} c d^{6} {\left| b \right|} + 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)}^{2} a^{7} b^{5} d^{7} {\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} b^{10} c^{6} {\left| b \right|} - 228 \, \sqrt{b 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^{5} d {\left| b \right|} - 114 \, \sqrt{b 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^{4} d^{2} {\left| b \right|} - 312 \, \sqrt{b 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^{3} d^{3} {\left| b \right|} + 198 \, \sqrt{b 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^{2} d^{4} {\left| b \right|} + 156 \, \sqrt{b 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} c d^{5} {\left| b \right|} - 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)}^{4} a^{6} b^{4} d^{6} {\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)}^{6} b^{8} c^{5} {\left| b \right|} - 338 \, \sqrt{b 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^{4} d {\left| b \right|} - 252 \, \sqrt{b 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^{3} d^{2} {\left| b \right|} - 396 \, \sqrt{b 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^{2} d^{3} {\left| b \right|} - 122 \, \sqrt{b 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} c d^{4} {\left| b \right|} + 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^{5} b^{3} d^{5} {\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)}^{8} b^{6} c^{4} {\left| b \right|} + 372 \, \sqrt{b 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^{3} d {\left| b \right|} + 282 \, \sqrt{b 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^{2} d^{2} {\left| b \right|} + 60 \, \sqrt{b 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} c d^{3} {\left| b \right|} - 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)}^{8} a^{4} b^{2} d^{4} {\left| b \right|} - 33 \, \sqrt{b 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^{3} {\left| b \right|} - 99 \, \sqrt{b 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^{2} d {\left| b \right|} - 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)}^{10} a^{2} 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)}^{10} a^{3} b d^{3} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} c^{2}}}{24 \, b}"," ",0,"-1/24*(24*sqrt(b*d)*b^2*abs(b)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2) + 3*(5*sqrt(b*d)*b^4*c^3*abs(b) + 15*sqrt(b*d)*a*b^3*c^2*d*abs(b) - 5*sqrt(b*d)*a^2*b^2*c*d^2*abs(b) + sqrt(b*d)*a^3*b*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^2) + 2*(33*sqrt(b*d)*b^14*c^8*abs(b) - 184*sqrt(b*d)*a*b^13*c^7*d*abs(b) + 408*sqrt(b*d)*a^2*b^12*c^6*d^2*abs(b) - 432*sqrt(b*d)*a^3*b^11*c^5*d^3*abs(b) + 170*sqrt(b*d)*a^4*b^10*c^4*d^4*abs(b) + 72*sqrt(b*d)*a^5*b^9*c^3*d^5*abs(b) - 96*sqrt(b*d)*a^6*b^8*c^2*d^6*abs(b) + 32*sqrt(b*d)*a^7*b^7*c*d^7*abs(b) - 3*sqrt(b*d)*a^8*b^6*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*b^12*c^7*abs(b) + 477*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^6*d*abs(b) - 309*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^5*d^2*abs(b) - 219*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^4*d^3*abs(b) + 201*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^3*d^4*abs(b) + 111*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^2*d^5*abs(b) - 111*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*c*d^6*abs(b) + 15*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^5*d^7*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*b^10*c^6*abs(b) - 228*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^5*d*abs(b) - 114*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^4*d^2*abs(b) - 312*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^3*d^3*abs(b) + 198*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^2*d^4*abs(b) + 156*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*c*d^5*abs(b) - 30*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^4*d^6*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))^6*b^8*c^5*abs(b) - 338*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^4*d*abs(b) - 252*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^3*d^2*abs(b) - 396*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^2*d^3*abs(b) - 122*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*c*d^4*abs(b) + 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^5*b^3*d^5*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))^8*b^6*c^4*abs(b) + 372*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^3*d*abs(b) + 282*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^2*d^2*abs(b) + 60*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*c*d^3*abs(b) - 15*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^2*d^4*abs(b) - 33*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^3*abs(b) - 99*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^2*d*abs(b) - 15*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*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))^10*a^3*b*d^3*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*c^2))/b","B",0
654,1,3832,0,16.011438," ","integrate((b*x+a)^(5/2)*(d*x+c)^(1/2)/x^5,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(\sqrt{b d} b^{5} c^{4} {\left| b \right|} - 4 \, \sqrt{b d} a b^{4} c^{3} d {\left| b \right|} + 6 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} - 4 \, \sqrt{b d} a^{3} b^{2} c d^{3} {\left| b \right|} + \sqrt{b d} a^{4} b d^{4} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b c^{3}} - \frac{2 \, {\left(15 \, \sqrt{b d} b^{19} c^{11} {\left| b \right|} - 47 \, \sqrt{b d} a b^{18} c^{10} d {\left| b \right|} - 219 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} {\left| b \right|} + 1659 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} {\left| b \right|} - 4698 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} {\left| b \right|} + 7770 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} {\left| b \right|} - 8358 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} {\left| b \right|} + 6054 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} {\left| b \right|} - 2949 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} {\left| b \right|} + 933 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} {\left| b \right|} - 175 \, \sqrt{b d} a^{10} b^{9} c d^{10} {\left| b \right|} + 15 \, \sqrt{b d} a^{11} b^{8} d^{11} {\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)}^{2} b^{17} c^{10} {\left| b \right|} + 250 \, \sqrt{b 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^{16} c^{9} d {\left| b \right|} + 651 \, \sqrt{b 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^{15} c^{8} d^{2} {\left| b \right|} - 3016 \, \sqrt{b 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^{14} c^{7} d^{3} {\left| b \right|} + 3550 \, \sqrt{b 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^{13} c^{6} d^{4} {\left| b \right|} + 540 \, \sqrt{b 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^{12} c^{5} d^{5} {\left| b \right|} - 5410 \, \sqrt{b 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^{11} c^{4} d^{6} {\left| b \right|} + 5944 \, \sqrt{b 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^{10} c^{3} d^{7} {\left| b \right|} - 3189 \, \sqrt{b 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^{9} c^{2} d^{8} {\left| b \right|} + 890 \, \sqrt{b 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^{9} b^{8} c d^{9} {\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)}^{2} a^{10} b^{7} d^{10} {\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)}^{4} b^{15} c^{9} {\left| b \right|} - 221 \, \sqrt{b 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^{14} c^{8} d {\left| b \right|} - 1060 \, \sqrt{b 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^{13} c^{7} d^{2} {\left| b \right|} + 204 \, \sqrt{b 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^{12} c^{6} d^{3} {\left| b \right|} + 2554 \, \sqrt{b 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^{11} c^{5} d^{4} {\left| b \right|} - 646 \, \sqrt{b 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^{10} c^{4} d^{5} {\left| b \right|} - 4020 \, \sqrt{b 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^{9} c^{3} d^{6} {\left| b \right|} + 4444 \, \sqrt{b 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^{8} c^{2} d^{7} {\left| b \right|} - 1885 \, \sqrt{b 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^{8} b^{7} c d^{8} {\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)}^{4} a^{9} b^{6} d^{9} {\left| b \right|} - 525 \, \sqrt{b 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^{13} c^{8} {\left| b \right|} - 1000 \, \sqrt{b 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^{12} c^{7} d {\left| b \right|} + 1140 \, \sqrt{b 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^{11} c^{6} d^{2} {\left| b \right|} + 1704 \, \sqrt{b 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^{10} c^{5} d^{3} {\left| b \right|} - 846 \, \sqrt{b 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^{9} c^{4} d^{4} {\left| b \right|} + 1320 \, \sqrt{b 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^{8} c^{3} d^{5} {\left| b \right|} - 3468 \, \sqrt{b 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^{7} c^{2} d^{6} {\left| b \right|} + 2200 \, \sqrt{b 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^{7} b^{6} c d^{7} {\left| b \right|} - 525 \, \sqrt{b 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^{8} b^{5} d^{8} {\left| b \right|} + 525 \, \sqrt{b 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^{11} c^{7} {\left| b \right|} + 2855 \, \sqrt{b 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^{10} c^{6} d {\left| b \right|} - 195 \, \sqrt{b 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^{9} c^{5} d^{2} {\left| b \right|} + 1039 \, \sqrt{b 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^{8} c^{4} d^{3} {\left| b \right|} + 1295 \, \sqrt{b 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^{7} c^{3} d^{4} {\left| b \right|} + 1725 \, \sqrt{b 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^{6} c^{2} d^{5} {\left| b \right|} - 1625 \, \sqrt{b 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^{6} b^{5} c d^{6} {\left| b \right|} + 525 \, \sqrt{b 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^{7} b^{4} 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^{9} c^{6} {\left| b \right|} - 3118 \, \sqrt{b 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^{8} c^{5} d {\left| b \right|} - 821 \, \sqrt{b 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^{7} c^{4} d^{2} {\left| b \right|} - 1860 \, \sqrt{b 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^{6} c^{3} d^{3} {\left| b \right|} - 565 \, \sqrt{b 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^{5} c^{2} d^{4} {\left| b \right|} + 850 \, \sqrt{b 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^{5} b^{4} 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^{6} b^{3} 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^{7} c^{5} {\left| b \right|} + 1605 \, \sqrt{b 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^{6} c^{4} d {\left| b \right|} + 594 \, \sqrt{b 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^{5} c^{3} d^{2} {\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} a^{3} b^{4} c^{2} d^{3} {\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)}^{12} a^{4} b^{3} 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^{5} b^{2} d^{5} {\left| b \right|} - 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)}^{14} b^{5} c^{4} {\left| b \right|} - 324 \, \sqrt{b 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^{4} c^{3} d {\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)}^{14} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} + 60 \, \sqrt{b 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^{3} b^{2} c d^{3} {\left| b \right|} - 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)}^{14} a^{4} b d^{4} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a c^{3}}}{192 \, b}"," ",0,"1/192*(15*(sqrt(b*d)*b^5*c^4*abs(b) - 4*sqrt(b*d)*a*b^4*c^3*d*abs(b) + 6*sqrt(b*d)*a^2*b^3*c^2*d^2*abs(b) - 4*sqrt(b*d)*a^3*b^2*c*d^3*abs(b) + sqrt(b*d)*a^4*b*d^4*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^3) - 2*(15*sqrt(b*d)*b^19*c^11*abs(b) - 47*sqrt(b*d)*a*b^18*c^10*d*abs(b) - 219*sqrt(b*d)*a^2*b^17*c^9*d^2*abs(b) + 1659*sqrt(b*d)*a^3*b^16*c^8*d^3*abs(b) - 4698*sqrt(b*d)*a^4*b^15*c^7*d^4*abs(b) + 7770*sqrt(b*d)*a^5*b^14*c^6*d^5*abs(b) - 8358*sqrt(b*d)*a^6*b^13*c^5*d^6*abs(b) + 6054*sqrt(b*d)*a^7*b^12*c^4*d^7*abs(b) - 2949*sqrt(b*d)*a^8*b^11*c^3*d^8*abs(b) + 933*sqrt(b*d)*a^9*b^10*c^2*d^9*abs(b) - 175*sqrt(b*d)*a^10*b^9*c*d^10*abs(b) + 15*sqrt(b*d)*a^11*b^8*d^11*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))^2*b^17*c^10*abs(b) + 250*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^16*c^9*d*abs(b) + 651*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^15*c^8*d^2*abs(b) - 3016*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^14*c^7*d^3*abs(b) + 3550*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^13*c^6*d^4*abs(b) + 540*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^12*c^5*d^5*abs(b) - 5410*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^11*c^4*d^6*abs(b) + 5944*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^10*c^3*d^7*abs(b) - 3189*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^9*c^2*d^8*abs(b) + 890*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9*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))^2*a^10*b^7*d^10*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))^4*b^15*c^9*abs(b) - 221*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^14*c^8*d*abs(b) - 1060*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^13*c^7*d^2*abs(b) + 204*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^12*c^6*d^3*abs(b) + 2554*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^11*c^5*d^4*abs(b) - 646*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^10*c^4*d^5*abs(b) - 4020*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^9*c^3*d^6*abs(b) + 4444*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^8*c^2*d^7*abs(b) - 1885*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*d^8*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))^4*a^9*b^6*d^9*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^13*c^8*abs(b) - 1000*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^12*c^7*d*abs(b) + 1140*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^11*c^6*d^2*abs(b) + 1704*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^10*c^5*d^3*abs(b) - 846*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^9*c^4*d^4*abs(b) + 1320*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^8*c^3*d^5*abs(b) - 3468*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^7*c^2*d^6*abs(b) + 2200*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*d^7*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^5*d^8*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^11*c^7*abs(b) + 2855*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^10*c^6*d*abs(b) - 195*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^9*c^5*d^2*abs(b) + 1039*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^8*c^4*d^3*abs(b) + 1295*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^7*c^3*d^4*abs(b) + 1725*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^6*c^2*d^5*abs(b) - 1625*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^5*c*d^6*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^4*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^9*c^6*abs(b) - 3118*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^8*c^5*d*abs(b) - 821*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^7*c^4*d^2*abs(b) - 1860*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^6*c^3*d^3*abs(b) - 565*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^5*c^2*d^4*abs(b) + 850*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*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^6*b^3*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^7*c^5*abs(b) + 1605*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^6*c^4*d*abs(b) + 594*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^5*c^3*d^2*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*a^3*b^4*c^2*d^3*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))^12*a^4*b^3*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^5*b^2*d^5*abs(b) - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^5*c^4*abs(b) - 324*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^4*c^3*d*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))^14*a^2*b^3*c^2*d^2*abs(b) + 60*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^2*c*d^3*abs(b) - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b*d^4*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a*c^3))/b","B",0
655,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(d*x+c)^(1/2)/x^6,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
656,1,3120,0,5.366001," ","integrate(x^2*(b*x+a)^(5/2)*(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{168 \, {\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 c {\left| b \right|} + \frac{4480 \, {\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} c {\left| b \right|}}{b^{2}} + \frac{1680 \, {\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} c {\left| b \right|}}{b} + 14 \, {\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 c {\left| b \right|} + 42 \, {\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)} a d {\left| b \right|} + \frac{560 \, {\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^{3} d {\left| b \right|}}{b^{2}} + \frac{168 \, {\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^{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(2 \, {\left(8 \, {\left(b x + a\right)} {\left(10 \, {\left(b x + a\right)} {\left(\frac{12 \, {\left(b x + a\right)}}{b^{6}} + \frac{b^{42} c d^{11} - 85 \, a b^{41} d^{12}}{b^{47} d^{12}}\right)} - \frac{11 \, b^{43} c^{2} d^{10} + 62 \, a b^{42} c d^{11} - 2593 \, a^{2} b^{41} d^{12}}{b^{47} d^{12}}\right)} + \frac{3 \, {\left(33 \, b^{44} c^{3} d^{9} + 153 \, a b^{43} c^{2} d^{10} + 435 \, a^{2} b^{42} c d^{11} - 11821 \, a^{3} b^{41} d^{12}\right)}}{b^{47} d^{12}}\right)} {\left(b x + a\right)} - \frac{7 \, {\left(33 \, b^{45} c^{4} d^{8} + 120 \, a b^{44} c^{3} d^{9} + 282 \, a^{2} b^{43} c^{2} d^{10} + 544 \, a^{3} b^{42} c d^{11} - 10579 \, a^{4} b^{41} d^{12}\right)}}{b^{47} d^{12}}\right)} {\left(b x + a\right)} + \frac{35 \, {\left(33 \, b^{46} c^{5} d^{7} + 87 \, a b^{45} c^{4} d^{8} + 162 \, a^{2} b^{44} c^{3} d^{9} + 262 \, a^{3} b^{43} c^{2} d^{10} + 397 \, a^{4} b^{42} c d^{11} - 5549 \, a^{5} b^{41} d^{12}\right)}}{b^{47} d^{12}}\right)} {\left(b x + a\right)} - \frac{105 \, {\left(33 \, b^{47} c^{6} d^{6} + 54 \, a b^{46} c^{5} d^{7} + 75 \, a^{2} b^{45} c^{4} d^{8} + 100 \, a^{3} b^{44} c^{3} d^{9} + 135 \, a^{4} b^{43} c^{2} d^{10} + 198 \, a^{5} b^{42} c d^{11} - 1619 \, a^{6} b^{41} d^{12}\right)}}{b^{47} d^{12}}\right)} \sqrt{b x + a} - \frac{105 \, {\left(33 \, b^{7} c^{7} + 21 \, a b^{6} c^{6} d + 21 \, a^{2} b^{5} c^{5} d^{2} + 25 \, a^{3} b^{4} c^{4} d^{3} + 35 \, a^{4} b^{3} c^{3} d^{4} + 63 \, a^{5} b^{2} c^{2} d^{5} + 231 \, a^{6} b c d^{6} - 429 \, a^{7} d^{7}\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^{5} d^{6}}\right)} b d {\left| b \right|}}{107520 \, b}"," ",0,"1/107520*(168*(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*c*abs(b) + 4480*(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*c*abs(b)/b^2 + 1680*(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*c*abs(b)/b + 14*(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*c*abs(b) + 42*(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))*a*d*abs(b) + 560*(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^3*d*abs(b)/b^2 + 168*(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^2*d*abs(b)/b + (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(4*(2*(8*(b*x + a)*(10*(b*x + a)*(12*(b*x + a)/b^6 + (b^42*c*d^11 - 85*a*b^41*d^12)/(b^47*d^12)) - (11*b^43*c^2*d^10 + 62*a*b^42*c*d^11 - 2593*a^2*b^41*d^12)/(b^47*d^12)) + 3*(33*b^44*c^3*d^9 + 153*a*b^43*c^2*d^10 + 435*a^2*b^42*c*d^11 - 11821*a^3*b^41*d^12)/(b^47*d^12))*(b*x + a) - 7*(33*b^45*c^4*d^8 + 120*a*b^44*c^3*d^9 + 282*a^2*b^43*c^2*d^10 + 544*a^3*b^42*c*d^11 - 10579*a^4*b^41*d^12)/(b^47*d^12))*(b*x + a) + 35*(33*b^46*c^5*d^7 + 87*a*b^45*c^4*d^8 + 162*a^2*b^44*c^3*d^9 + 262*a^3*b^43*c^2*d^10 + 397*a^4*b^42*c*d^11 - 5549*a^5*b^41*d^12)/(b^47*d^12))*(b*x + a) - 105*(33*b^47*c^6*d^6 + 54*a*b^46*c^5*d^7 + 75*a^2*b^45*c^4*d^8 + 100*a^3*b^44*c^3*d^9 + 135*a^4*b^43*c^2*d^10 + 198*a^5*b^42*c*d^11 - 1619*a^6*b^41*d^12)/(b^47*d^12))*sqrt(b*x + a) - 105*(33*b^7*c^7 + 21*a*b^6*c^6*d + 21*a^2*b^5*c^5*d^2 + 25*a^3*b^4*c^4*d^3 + 35*a^4*b^3*c^3*d^4 + 63*a^5*b^2*c^2*d^5 + 231*a^6*b*c*d^6 - 429*a^7*d^7)*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^5*d^6))*b*d*abs(b))/b","B",0
657,1,2375,0,4.481881," ","integrate(x*(b*x+a)^(5/2)*(d*x+c)^(3/2),x, algorithm=""giac"")","\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 c {\left| b \right|} + \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^{2} c {\left| b \right|}}{b} + 4 \, {\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 {\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 {\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 {\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 {\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 {\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} c {\left| b \right|}}{b^{3}}}{7680 \, b}"," ",0,"1/7680*(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*c*abs(b) + 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^2*c*abs(b)/b + 4*(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*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*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*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*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*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*c*abs(b)/b^3)/b","B",0
658,1,1740,0,3.460398," ","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
659,-2,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(d*x+c)^(3/2)/x,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.08"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
660,1,672,0,5.318597," ","integrate((b*x+a)^(5/2)*(d*x+c)^(3/2)/x^2,x, algorithm=""giac"")","\frac{2 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)} d {\left| b \right|}}{b} + \frac{7 \, b c d^{4} {\left| b \right|} + 5 \, a d^{5} {\left| b \right|}}{b d^{4}}\right)} + \frac{3 \, {\left(b^{2} c^{2} d^{3} {\left| b \right|} + 18 \, a b c d^{4} {\left| b \right|} + 5 \, a^{2} d^{5} {\left| b \right|}\right)}}{b d^{4}}\right)} \sqrt{b x + a} - \frac{48 \, {\left(5 \, \sqrt{b d} a^{2} b^{2} c^{2} {\left| b \right|} + 3 \, \sqrt{b d} a^{3} b c d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{96 \, {\left(\sqrt{b d} a^{2} b^{4} c^{3} {\left| b \right|} - 2 \, \sqrt{b d} a^{3} b^{3} c^{2} d {\left| b \right|} + \sqrt{b d} a^{4} b^{2} c d^{2} {\left| b \right|} - \sqrt{b 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^{2} {\left| b \right|} - \sqrt{b 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 c d {\left| b \right|}\right)}}{b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4}} + \frac{3 \, {\left(\sqrt{b d} b^{3} c^{3} {\left| b \right|} - 15 \, \sqrt{b d} a b^{2} c^{2} d {\left| b \right|} - 45 \, \sqrt{b d} a^{2} b c d^{2} {\left| b \right|} - 5 \, \sqrt{b d} a^{3} d^{3} {\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)}{b d^{2}}}{48 \, b}"," ",0,"1/48*(2*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*d*abs(b)/b + (7*b*c*d^4*abs(b) + 5*a*d^5*abs(b))/(b*d^4)) + 3*(b^2*c^2*d^3*abs(b) + 18*a*b*c*d^4*abs(b) + 5*a^2*d^5*abs(b))/(b*d^4))*sqrt(b*x + a) - 48*(5*sqrt(b*d)*a^2*b^2*c^2*abs(b) + 3*sqrt(b*d)*a^3*b*c*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 96*(sqrt(b*d)*a^2*b^4*c^3*abs(b) - 2*sqrt(b*d)*a^3*b^3*c^2*d*abs(b) + sqrt(b*d)*a^4*b^2*c*d^2*abs(b) - 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^2*abs(b) - 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*c*d*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4) + 3*(sqrt(b*d)*b^3*c^3*abs(b) - 15*sqrt(b*d)*a*b^2*c^2*d*abs(b) - 45*sqrt(b*d)*a^2*b*c*d^2*abs(b) - 5*sqrt(b*d)*a^3*d^3*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b*d^2))/b","B",0
661,1,1239,0,17.774744," ","integrate((b*x+a)^(5/2)*(d*x+c)^(3/2)/x^3,x, algorithm=""giac"")","\frac{2 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(b x + a\right)} d {\left| b \right|} + \frac{5 \, b c d^{2} {\left| b \right|} + 7 \, a d^{3} {\left| b \right|}}{d^{2}}\right)} \sqrt{b x + a} - \frac{3 \, {\left(\sqrt{b d} b^{2} c^{2} {\left| b \right|} + 10 \, \sqrt{b d} a b c d {\left| b \right|} + 5 \, \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)}{d} - \frac{6 \, {\left(5 \, \sqrt{b d} a b^{3} c^{2} {\left| b \right|} + 10 \, \sqrt{b d} a^{2} b^{2} c d {\left| b \right|} + \sqrt{b d} a^{3} b d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{4 \, {\left(9 \, \sqrt{b d} a b^{9} c^{5} {\left| b \right|} - 31 \, \sqrt{b d} a^{2} b^{8} c^{4} d {\left| b \right|} + 34 \, \sqrt{b d} a^{3} b^{7} c^{3} d^{2} {\left| b \right|} - 6 \, \sqrt{b d} a^{4} b^{6} c^{2} d^{3} {\left| b \right|} - 11 \, \sqrt{b d} a^{5} b^{5} c d^{4} {\left| b \right|} + 5 \, \sqrt{b d} a^{6} b^{4} d^{5} {\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)}^{2} a b^{7} c^{4} {\left| b \right|} + 16 \, \sqrt{b 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^{3} d {\left| b \right|} + 34 \, \sqrt{b 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^{2} d^{2} {\left| b \right|} - 8 \, \sqrt{b 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} c d^{3} {\left| b \right|} - 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)}^{2} a^{5} b^{3} d^{4} {\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 b^{5} c^{3} {\left| b \right|} + 33 \, \sqrt{b 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^{2} d {\left| b \right|} + 37 \, \sqrt{b 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} c d^{2} {\left| b \right|} + 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)}^{4} a^{4} b^{2} d^{3} {\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)}^{6} a b^{3} c^{2} {\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)}^{6} a^{2} b^{2} c d {\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)}^{6} a^{3} b d^{2} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2}}}{8 \, b}"," ",0,"1/8*(2*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*d*abs(b) + (5*b*c*d^2*abs(b) + 7*a*d^3*abs(b))/d^2)*sqrt(b*x + a) - 3*(sqrt(b*d)*b^2*c^2*abs(b) + 10*sqrt(b*d)*a*b*c*d*abs(b) + 5*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)/d - 6*(5*sqrt(b*d)*a*b^3*c^2*abs(b) + 10*sqrt(b*d)*a^2*b^2*c*d*abs(b) + sqrt(b*d)*a^3*b*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 4*(9*sqrt(b*d)*a*b^9*c^5*abs(b) - 31*sqrt(b*d)*a^2*b^8*c^4*d*abs(b) + 34*sqrt(b*d)*a^3*b^7*c^3*d^2*abs(b) - 6*sqrt(b*d)*a^4*b^6*c^2*d^3*abs(b) - 11*sqrt(b*d)*a^5*b^5*c*d^4*abs(b) + 5*sqrt(b*d)*a^6*b^4*d^5*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))^2*a*b^7*c^4*abs(b) + 16*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^3*d*abs(b) + 34*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^2*d^2*abs(b) - 8*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*c*d^3*abs(b) - 15*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^3*d^4*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*b^5*c^3*abs(b) + 33*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^2*d*abs(b) + 37*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*c*d^2*abs(b) + 15*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^2*d^3*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))^6*a*b^3*c^2*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))^6*a^2*b^2*c*d*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))^6*a^3*b*d^2*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2)/b","B",0
662,1,2316,0,101.320221," ","integrate((b*x+a)^(5/2)*(d*x+c)^(3/2)/x^4,x, algorithm=""giac"")","\frac{24 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} b d {\left| b \right|} - 12 \, {\left(3 \, \sqrt{b d} b^{2} c {\left| b \right|} + 5 \, \sqrt{b d} a b 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) - \frac{3 \, {\left(5 \, \sqrt{b d} b^{4} c^{3} {\left| b \right|} + 45 \, \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} + 15 \, \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} - \sqrt{b d} a^{3} b d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c} - \frac{2 \, {\left(33 \, \sqrt{b d} b^{14} c^{8} {\left| b \right|} - 130 \, \sqrt{b d} a b^{13} c^{7} d {\left| b \right|} + 90 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} {\left| b \right|} + 342 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} {\left| b \right|} - 820 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} {\left| b \right|} + 762 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} {\left| b \right|} - 330 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} {\left| b \right|} + 50 \, \sqrt{b d} a^{7} b^{7} c d^{7} {\left| b \right|} + 3 \, \sqrt{b d} a^{8} b^{6} 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} b^{12} c^{7} {\left| b \right|} + 207 \, \sqrt{b 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^{6} d {\left| b \right|} + 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)}^{2} a^{2} b^{10} c^{5} d^{2} {\left| b \right|} - 765 \, \sqrt{b 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^{4} d^{3} {\left| b \right|} - 255 \, \sqrt{b 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^{3} d^{4} {\left| b \right|} + 765 \, \sqrt{b 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^{2} d^{5} {\left| b \right|} - 267 \, \sqrt{b 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} c d^{6} {\left| b \right|} - 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)}^{2} a^{7} b^{5} d^{7} {\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} b^{10} c^{6} {\left| b \right|} + 312 \, \sqrt{b 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^{5} d {\left| b \right|} - 534 \, \sqrt{b 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^{4} d^{2} {\left| b \right|} - 528 \, \sqrt{b 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^{3} d^{3} {\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)}^{4} a^{4} b^{6} c^{2} d^{4} {\left| b \right|} + 600 \, \sqrt{b 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} c d^{5} {\left| b \right|} + 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)}^{4} a^{6} b^{4} d^{6} {\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)}^{6} b^{8} c^{5} {\left| b \right|} - 878 \, \sqrt{b 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^{4} d {\left| b \right|} - 636 \, \sqrt{b 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^{3} d^{2} {\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^{2} d^{3} {\left| b \right|} - 698 \, \sqrt{b 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} c d^{4} {\left| b \right|} - 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^{5} b^{3} d^{5} {\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)}^{8} b^{6} c^{4} {\left| b \right|} + 642 \, \sqrt{b 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^{3} d {\left| b \right|} + 684 \, \sqrt{b 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^{2} d^{2} {\left| b \right|} + 414 \, \sqrt{b 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} c d^{3} {\left| b \right|} + 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)}^{8} a^{4} b^{2} d^{4} {\left| b \right|} - 33 \, \sqrt{b 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^{3} {\left| b \right|} - 153 \, \sqrt{b 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^{2} d {\left| b \right|} - 99 \, \sqrt{b 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} 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)}^{10} a^{3} b d^{3} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} c}}{24 \, b}"," ",0,"1/24*(24*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*b*d*abs(b) - 12*(3*sqrt(b*d)*b^2*c*abs(b) + 5*sqrt(b*d)*a*b*d*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2) - 3*(5*sqrt(b*d)*b^4*c^3*abs(b) + 45*sqrt(b*d)*a*b^3*c^2*d*abs(b) + 15*sqrt(b*d)*a^2*b^2*c*d^2*abs(b) - sqrt(b*d)*a^3*b*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c) - 2*(33*sqrt(b*d)*b^14*c^8*abs(b) - 130*sqrt(b*d)*a*b^13*c^7*d*abs(b) + 90*sqrt(b*d)*a^2*b^12*c^6*d^2*abs(b) + 342*sqrt(b*d)*a^3*b^11*c^5*d^3*abs(b) - 820*sqrt(b*d)*a^4*b^10*c^4*d^4*abs(b) + 762*sqrt(b*d)*a^5*b^9*c^3*d^5*abs(b) - 330*sqrt(b*d)*a^6*b^8*c^2*d^6*abs(b) + 50*sqrt(b*d)*a^7*b^7*c*d^7*abs(b) + 3*sqrt(b*d)*a^8*b^6*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*b^12*c^7*abs(b) + 207*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^6*d*abs(b) + 495*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^5*d^2*abs(b) - 765*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^4*d^3*abs(b) - 255*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^3*d^4*abs(b) + 765*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^2*d^5*abs(b) - 267*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*c*d^6*abs(b) - 15*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^5*d^7*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*b^10*c^6*abs(b) + 312*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^5*d*abs(b) - 534*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^4*d^2*abs(b) - 528*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^3*d^3*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))^4*a^4*b^6*c^2*d^4*abs(b) + 600*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*c*d^5*abs(b) + 30*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^4*d^6*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))^6*b^8*c^5*abs(b) - 878*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^4*d*abs(b) - 636*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^3*d^2*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^2*d^3*abs(b) - 698*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*c*d^4*abs(b) - 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^5*b^3*d^5*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))^8*b^6*c^4*abs(b) + 642*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^3*d*abs(b) + 684*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^2*d^2*abs(b) + 414*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*c*d^3*abs(b) + 15*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^2*d^4*abs(b) - 33*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^3*abs(b) - 153*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^2*d*abs(b) - 99*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*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))^10*a^3*b*d^3*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*c))/b","B",0
663,1,3887,0,11.478628," ","integrate((b*x+a)^(5/2)*(d*x+c)^(3/2)/x^5,x, algorithm=""giac"")","-\frac{192 \, \sqrt{b d} b^{2} 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) - \frac{3 \, {\left(5 \, \sqrt{b d} b^{5} c^{4} {\left| b \right|} - 60 \, \sqrt{b d} a b^{4} c^{3} d {\left| b \right|} - 90 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} + 20 \, \sqrt{b d} a^{3} b^{2} c d^{3} {\left| b \right|} - 3 \, \sqrt{b d} a^{4} b d^{4} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b c^{2}} + \frac{2 \, {\left(15 \, \sqrt{b d} b^{19} c^{11} {\left| b \right|} + 217 \, \sqrt{b d} a b^{18} c^{10} d {\left| b \right|} - 2219 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} {\left| b \right|} + 8131 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} {\left| b \right|} - 16154 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} {\left| b \right|} + 19306 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} {\left| b \right|} - 13958 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} {\left| b \right|} + 5494 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} {\left| b \right|} - 581 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} {\left| b \right|} - 371 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} {\left| b \right|} + 129 \, \sqrt{b d} a^{10} b^{9} c d^{10} {\left| b \right|} - 9 \, \sqrt{b d} a^{11} b^{8} d^{11} {\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)}^{2} b^{17} c^{10} {\left| b \right|} - 1598 \, \sqrt{b 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^{16} c^{9} d {\left| b \right|} + 9523 \, \sqrt{b 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^{15} c^{8} d^{2} {\left| b \right|} - 18024 \, \sqrt{b 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^{14} c^{7} d^{3} {\left| b \right|} + 10942 \, \sqrt{b 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^{13} c^{6} d^{4} {\left| b \right|} + 7372 \, \sqrt{b 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^{12} c^{5} d^{5} {\left| b \right|} - 13362 \, \sqrt{b 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^{11} c^{4} d^{6} {\left| b \right|} + 5272 \, \sqrt{b 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^{10} c^{3} d^{7} {\left| b \right|} + 619 \, \sqrt{b 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^{9} c^{2} d^{8} {\left| b \right|} - 702 \, \sqrt{b 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^{9} b^{8} c d^{9} {\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)}^{2} a^{10} b^{7} d^{10} {\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)}^{4} b^{15} c^{9} {\left| b \right|} + 5323 \, \sqrt{b 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^{14} c^{8} d {\left| b \right|} - 14628 \, \sqrt{b 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^{13} c^{7} d^{2} {\left| b \right|} + 6156 \, \sqrt{b 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^{12} c^{6} d^{3} {\left| b \right|} + 5050 \, \sqrt{b 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^{11} c^{5} d^{4} {\left| b \right|} + 6666 \, \sqrt{b 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^{10} c^{4} d^{5} {\left| b \right|} - 12852 \, \sqrt{b 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^{9} c^{3} d^{6} {\left| b \right|} + 2524 \, \sqrt{b 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^{8} c^{2} d^{7} {\left| b \right|} + 1635 \, \sqrt{b 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^{8} b^{7} c 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)}^{4} a^{9} b^{6} d^{9} {\left| b \right|} - 525 \, \sqrt{b 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^{13} c^{8} {\left| b \right|} - 10240 \, \sqrt{b 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^{12} c^{7} d {\left| b \right|} + 5900 \, \sqrt{b 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^{11} c^{6} d^{2} {\left| b \right|} + 5456 \, \sqrt{b 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^{10} c^{5} d^{3} {\left| b \right|} + 2378 \, \sqrt{b 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^{9} c^{4} d^{4} {\left| b \right|} + 8096 \, \sqrt{b 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^{8} c^{3} d^{5} {\left| b \right|} - 9220 \, \sqrt{b 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^{7} c^{2} d^{6} {\left| b \right|} - 2160 \, \sqrt{b 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^{7} b^{6} c 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)}^{6} a^{8} b^{5} d^{8} {\left| b \right|} + 525 \, \sqrt{b 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^{11} c^{7} {\left| b \right|} + 12095 \, \sqrt{b 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^{10} c^{6} d {\left| b \right|} + 9005 \, \sqrt{b 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^{9} c^{5} d^{2} {\left| b \right|} + 7191 \, \sqrt{b 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^{8} c^{4} d^{3} {\left| b \right|} + 8111 \, \sqrt{b 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^{7} c^{3} d^{4} {\left| b \right|} + 12773 \, \sqrt{b 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^{6} c^{2} d^{5} {\left| b \right|} + 1815 \, \sqrt{b 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^{6} b^{5} c 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)}^{8} a^{7} b^{4} 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^{9} c^{6} {\left| b \right|} - 8662 \, \sqrt{b 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^{8} c^{5} d {\left| b \right|} - 12381 \, \sqrt{b 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^{7} c^{4} d^{2} {\left| b \right|} - 13140 \, \sqrt{b 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^{6} c^{3} d^{3} {\left| b \right|} - 9733 \, \sqrt{b 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^{5} c^{2} d^{4} {\left| b \right|} - 1014 \, \sqrt{b 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^{5} b^{4} c d^{5} {\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)}^{10} a^{6} b^{3} 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^{7} c^{5} {\left| b \right|} + 3453 \, \sqrt{b 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^{6} c^{4} d {\left| b \right|} + 5682 \, \sqrt{b 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^{5} c^{3} d^{2} {\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)}^{12} a^{3} b^{4} c^{2} d^{3} {\left| b \right|} + 357 \, \sqrt{b 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^{4} b^{3} c d^{4} {\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)}^{12} a^{5} b^{2} d^{5} {\left| b \right|} - 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)}^{14} b^{5} c^{4} {\left| b \right|} - 588 \, \sqrt{b 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^{4} c^{3} d {\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)}^{14} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} - 60 \, \sqrt{b 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^{3} b^{2} c d^{3} {\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)}^{14} a^{4} b d^{4} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a c^{2}}}{192 \, b}"," ",0,"-1/192*(192*sqrt(b*d)*b^2*d*abs(b)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2) - 3*(5*sqrt(b*d)*b^5*c^4*abs(b) - 60*sqrt(b*d)*a*b^4*c^3*d*abs(b) - 90*sqrt(b*d)*a^2*b^3*c^2*d^2*abs(b) + 20*sqrt(b*d)*a^3*b^2*c*d^3*abs(b) - 3*sqrt(b*d)*a^4*b*d^4*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^2) + 2*(15*sqrt(b*d)*b^19*c^11*abs(b) + 217*sqrt(b*d)*a*b^18*c^10*d*abs(b) - 2219*sqrt(b*d)*a^2*b^17*c^9*d^2*abs(b) + 8131*sqrt(b*d)*a^3*b^16*c^8*d^3*abs(b) - 16154*sqrt(b*d)*a^4*b^15*c^7*d^4*abs(b) + 19306*sqrt(b*d)*a^5*b^14*c^6*d^5*abs(b) - 13958*sqrt(b*d)*a^6*b^13*c^5*d^6*abs(b) + 5494*sqrt(b*d)*a^7*b^12*c^4*d^7*abs(b) - 581*sqrt(b*d)*a^8*b^11*c^3*d^8*abs(b) - 371*sqrt(b*d)*a^9*b^10*c^2*d^9*abs(b) + 129*sqrt(b*d)*a^10*b^9*c*d^10*abs(b) - 9*sqrt(b*d)*a^11*b^8*d^11*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))^2*b^17*c^10*abs(b) - 1598*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^16*c^9*d*abs(b) + 9523*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^15*c^8*d^2*abs(b) - 18024*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^14*c^7*d^3*abs(b) + 10942*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^13*c^6*d^4*abs(b) + 7372*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^12*c^5*d^5*abs(b) - 13362*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^11*c^4*d^6*abs(b) + 5272*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^10*c^3*d^7*abs(b) + 619*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^9*c^2*d^8*abs(b) - 702*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9*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))^2*a^10*b^7*d^10*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))^4*b^15*c^9*abs(b) + 5323*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^14*c^8*d*abs(b) - 14628*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^13*c^7*d^2*abs(b) + 6156*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^12*c^6*d^3*abs(b) + 5050*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^11*c^5*d^4*abs(b) + 6666*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^10*c^4*d^5*abs(b) - 12852*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^9*c^3*d^6*abs(b) + 2524*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^8*c^2*d^7*abs(b) + 1635*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*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))^4*a^9*b^6*d^9*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^13*c^8*abs(b) - 10240*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^12*c^7*d*abs(b) + 5900*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^11*c^6*d^2*abs(b) + 5456*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^10*c^5*d^3*abs(b) + 2378*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^9*c^4*d^4*abs(b) + 8096*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^8*c^3*d^5*abs(b) - 9220*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^7*c^2*d^6*abs(b) - 2160*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*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))^6*a^8*b^5*d^8*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^11*c^7*abs(b) + 12095*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^10*c^6*d*abs(b) + 9005*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^9*c^5*d^2*abs(b) + 7191*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^8*c^4*d^3*abs(b) + 8111*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^7*c^3*d^4*abs(b) + 12773*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^6*c^2*d^5*abs(b) + 1815*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^5*c*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))^8*a^7*b^4*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^9*c^6*abs(b) - 8662*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^8*c^5*d*abs(b) - 12381*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^7*c^4*d^2*abs(b) - 13140*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^6*c^3*d^3*abs(b) - 9733*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^5*c^2*d^4*abs(b) - 1014*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*c*d^5*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))^10*a^6*b^3*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^7*c^5*abs(b) + 3453*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^6*c^4*d*abs(b) + 5682*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^5*c^3*d^2*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))^12*a^3*b^4*c^2*d^3*abs(b) + 357*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^3*c*d^4*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))^12*a^5*b^2*d^5*abs(b) - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^5*c^4*abs(b) - 588*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^4*c^3*d*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))^14*a^2*b^3*c^2*d^2*abs(b) - 60*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^2*c*d^3*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))^14*a^4*b*d^4*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a*c^2))/b","B",0
664,-1,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(d*x+c)^(3/2)/x^6,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
665,1,4150,0,6.658895," ","integrate(x*(b*x+a)^(5/2)*(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{1680 \, {\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^{2} {\left| b \right|} + \frac{13440 \, {\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^{2} {\left| b \right|}}{b} + 56 \, {\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^{2} {\left| b \right|} + 336 \, {\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 c d {\left| b \right|} + \frac{8960 \, {\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} c d {\left| b \right|}}{b^{2}} + \frac{3360 \, {\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} c d {\left| b \right|}}{b} + 28 \, {\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 c d {\left| b \right|} + 42 \, {\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)} a d^{2} {\left| b \right|} + \frac{560 \, {\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^{3} d^{2} {\left| b \right|}}{b^{2}} + \frac{168 \, {\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^{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(8 \, {\left(b x + a\right)} {\left(10 \, {\left(b x + a\right)} {\left(\frac{12 \, {\left(b x + a\right)}}{b^{6}} + \frac{b^{42} c d^{11} - 85 \, a b^{41} d^{12}}{b^{47} d^{12}}\right)} - \frac{11 \, b^{43} c^{2} d^{10} + 62 \, a b^{42} c d^{11} - 2593 \, a^{2} b^{41} d^{12}}{b^{47} d^{12}}\right)} + \frac{3 \, {\left(33 \, b^{44} c^{3} d^{9} + 153 \, a b^{43} c^{2} d^{10} + 435 \, a^{2} b^{42} c d^{11} - 11821 \, a^{3} b^{41} d^{12}\right)}}{b^{47} d^{12}}\right)} {\left(b x + a\right)} - \frac{7 \, {\left(33 \, b^{45} c^{4} d^{8} + 120 \, a b^{44} c^{3} d^{9} + 282 \, a^{2} b^{43} c^{2} d^{10} + 544 \, a^{3} b^{42} c d^{11} - 10579 \, a^{4} b^{41} d^{12}\right)}}{b^{47} d^{12}}\right)} {\left(b x + a\right)} + \frac{35 \, {\left(33 \, b^{46} c^{5} d^{7} + 87 \, a b^{45} c^{4} d^{8} + 162 \, a^{2} b^{44} c^{3} d^{9} + 262 \, a^{3} b^{43} c^{2} d^{10} + 397 \, a^{4} b^{42} c d^{11} - 5549 \, a^{5} b^{41} d^{12}\right)}}{b^{47} d^{12}}\right)} {\left(b x + a\right)} - \frac{105 \, {\left(33 \, b^{47} c^{6} d^{6} + 54 \, a b^{46} c^{5} d^{7} + 75 \, a^{2} b^{45} c^{4} d^{8} + 100 \, a^{3} b^{44} c^{3} d^{9} + 135 \, a^{4} b^{43} c^{2} d^{10} + 198 \, a^{5} b^{42} c d^{11} - 1619 \, a^{6} b^{41} d^{12}\right)}}{b^{47} d^{12}}\right)} \sqrt{b x + a} - \frac{105 \, {\left(33 \, b^{7} c^{7} + 21 \, a b^{6} c^{6} d + 21 \, a^{2} b^{5} c^{5} d^{2} + 25 \, a^{3} b^{4} c^{4} d^{3} + 35 \, a^{4} b^{3} c^{3} d^{4} + 63 \, a^{5} b^{2} c^{2} d^{5} + 231 \, a^{6} b c d^{6} - 429 \, a^{7} d^{7}\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^{5} d^{6}}\right)} b d^{2} {\left| b \right|} + \frac{26880 \, {\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^{2} {\left| b \right|}}{b^{3}}}{107520 \, b}"," ",0,"1/107520*(1680*(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^2*abs(b) + 13440*(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^2*abs(b)/b + 56*(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^2*abs(b) + 336*(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*c*d*abs(b) + 8960*(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*c*d*abs(b)/b^2 + 3360*(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*c*d*abs(b)/b + 28*(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*c*d*abs(b) + 42*(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))*a*d^2*abs(b) + 560*(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^3*d^2*abs(b)/b^2 + 168*(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^2*d^2*abs(b)/b + (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(4*(2*(8*(b*x + a)*(10*(b*x + a)*(12*(b*x + a)/b^6 + (b^42*c*d^11 - 85*a*b^41*d^12)/(b^47*d^12)) - (11*b^43*c^2*d^10 + 62*a*b^42*c*d^11 - 2593*a^2*b^41*d^12)/(b^47*d^12)) + 3*(33*b^44*c^3*d^9 + 153*a*b^43*c^2*d^10 + 435*a^2*b^42*c*d^11 - 11821*a^3*b^41*d^12)/(b^47*d^12))*(b*x + a) - 7*(33*b^45*c^4*d^8 + 120*a*b^44*c^3*d^9 + 282*a^2*b^43*c^2*d^10 + 544*a^3*b^42*c*d^11 - 10579*a^4*b^41*d^12)/(b^47*d^12))*(b*x + a) + 35*(33*b^46*c^5*d^7 + 87*a*b^45*c^4*d^8 + 162*a^2*b^44*c^3*d^9 + 262*a^3*b^43*c^2*d^10 + 397*a^4*b^42*c*d^11 - 5549*a^5*b^41*d^12)/(b^47*d^12))*(b*x + a) - 105*(33*b^47*c^6*d^6 + 54*a*b^46*c^5*d^7 + 75*a^2*b^45*c^4*d^8 + 100*a^3*b^44*c^3*d^9 + 135*a^4*b^43*c^2*d^10 + 198*a^5*b^42*c*d^11 - 1619*a^6*b^41*d^12)/(b^47*d^12))*sqrt(b*x + a) - 105*(33*b^7*c^7 + 21*a*b^6*c^6*d + 21*a^2*b^5*c^5*d^2 + 25*a^3*b^4*c^4*d^3 + 35*a^4*b^3*c^3*d^4 + 63*a^5*b^2*c^2*d^5 + 231*a^6*b*c*d^6 - 429*a^7*d^7)*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^5*d^6))*b*d^2*abs(b) + 26880*(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^2*abs(b)/b^3)/b","B",0
666,1,3120,0,4.466879," ","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
667,-2,0,0,0.000000," ","integrate((b*x+a)^(5/2)*(d*x+c)^(5/2)/x,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.91"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
668,1,779,0,7.684624," ","integrate((b*x+a)^(5/2)*(d*x+c)^(5/2)/x^2,x, algorithm=""giac"")","\frac{2 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)} d^{2} {\left| b \right|}}{b^{2}} + \frac{17 \, b^{3} c d^{7} {\left| b \right|} - a b^{2} d^{8} {\left| b \right|}}{b^{4} d^{6}}\right)} + \frac{59 \, b^{4} c^{2} d^{6} {\left| b \right|} + 90 \, a b^{3} c d^{7} {\left| b \right|} - 5 \, a^{2} b^{2} d^{8} {\left| b \right|}}{b^{4} d^{6}}\right)} {\left(b x + a\right)} + \frac{3 \, {\left(5 \, b^{5} c^{3} d^{5} {\left| b \right|} + 161 \, a b^{4} c^{2} d^{6} {\left| b \right|} + 95 \, a^{2} b^{3} c d^{7} {\left| b \right|} - 5 \, a^{3} b^{2} d^{8} {\left| b \right|}\right)}}{b^{4} d^{6}}\right)} \sqrt{b x + a} - \frac{1920 \, {\left(\sqrt{b d} a^{2} b^{2} c^{3} {\left| b \right|} + \sqrt{b d} a^{3} b c^{2} d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{768 \, {\left(\sqrt{b d} a^{2} b^{4} c^{4} {\left| b \right|} - 2 \, \sqrt{b d} a^{3} b^{3} c^{3} d {\left| b \right|} + \sqrt{b d} a^{4} b^{2} c^{2} d^{2} {\left| b \right|} - \sqrt{b 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^{3} {\left| b \right|} - \sqrt{b 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 c^{2} d {\left| b \right|}\right)}}{b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{4}} + \frac{15 \, {\left(\sqrt{b d} b^{4} c^{4} {\left| b \right|} - 20 \, \sqrt{b d} a b^{3} c^{3} d {\left| b \right|} - 90 \, \sqrt{b d} a^{2} b^{2} c^{2} d^{2} {\left| b \right|} - 20 \, \sqrt{b d} a^{3} b c d^{3} {\left| b \right|} + \sqrt{b d} a^{4} d^{4} {\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)}{b^{2} d^{2}}}{384 \, b}"," ",0,"1/384*(2*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(4*(b*x + a)*(6*(b*x + a)*d^2*abs(b)/b^2 + (17*b^3*c*d^7*abs(b) - a*b^2*d^8*abs(b))/(b^4*d^6)) + (59*b^4*c^2*d^6*abs(b) + 90*a*b^3*c*d^7*abs(b) - 5*a^2*b^2*d^8*abs(b))/(b^4*d^6))*(b*x + a) + 3*(5*b^5*c^3*d^5*abs(b) + 161*a*b^4*c^2*d^6*abs(b) + 95*a^2*b^3*c*d^7*abs(b) - 5*a^3*b^2*d^8*abs(b))/(b^4*d^6))*sqrt(b*x + a) - 1920*(sqrt(b*d)*a^2*b^2*c^3*abs(b) + sqrt(b*d)*a^3*b*c^2*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 768*(sqrt(b*d)*a^2*b^4*c^4*abs(b) - 2*sqrt(b*d)*a^3*b^3*c^3*d*abs(b) + sqrt(b*d)*a^4*b^2*c^2*d^2*abs(b) - 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^3*abs(b) - 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*c^2*d*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4) + 15*(sqrt(b*d)*b^4*c^4*abs(b) - 20*sqrt(b*d)*a*b^3*c^3*d*abs(b) - 90*sqrt(b*d)*a^2*b^2*c^2*d^2*abs(b) - 20*sqrt(b*d)*a^3*b*c*d^3*abs(b) + sqrt(b*d)*a^4*d^4*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^2*d^2))/b","B",0
669,1,1336,0,20.396467," ","integrate((b*x+a)^(5/2)*(d*x+c)^(5/2)/x^3,x, algorithm=""giac"")","\frac{2 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(\frac{4 \, {\left(b x + a\right)} d^{2} {\left| b \right|}}{b} + \frac{13 \, b c d^{5} {\left| b \right|} + 5 \, a d^{6} {\left| b \right|}}{b d^{4}}\right)} {\left(b x + a\right)} + \frac{3 \, {\left(11 \, b^{2} c^{2} d^{4} {\left| b \right|} + 32 \, a b c d^{5} {\left| b \right|} + 5 \, a^{2} d^{6} {\left| b \right|}\right)}}{b d^{4}}\right)} \sqrt{b x + a} - \frac{60 \, {\left(3 \, \sqrt{b d} a b^{3} c^{3} {\left| b \right|} + 10 \, \sqrt{b d} a^{2} b^{2} c^{2} d {\left| b \right|} + 3 \, \sqrt{b d} a^{3} b c d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{15 \, {\left(\sqrt{b d} b^{3} c^{3} {\left| b \right|} + 15 \, \sqrt{b d} a b^{2} c^{2} d {\left| b \right|} + 15 \, \sqrt{b d} a^{2} b c d^{2} {\left| b \right|} + \sqrt{b d} a^{3} d^{3} {\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)}{b d} - \frac{24 \, {\left(9 \, \sqrt{b d} a b^{9} c^{6} {\left| b \right|} - 27 \, \sqrt{b d} a^{2} b^{8} c^{5} d {\left| b \right|} + 18 \, \sqrt{b d} a^{3} b^{7} c^{4} d^{2} {\left| b \right|} + 18 \, \sqrt{b d} a^{4} b^{6} c^{3} d^{3} {\left| b \right|} - 27 \, \sqrt{b d} a^{5} b^{5} c^{2} d^{4} {\left| b \right|} + 9 \, \sqrt{b d} a^{6} b^{4} c d^{5} {\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)}^{2} a b^{7} c^{5} {\left| b \right|} + 4 \, \sqrt{b 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^{4} d {\left| b \right|} + 46 \, \sqrt{b 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^{3} d^{2} {\left| b \right|} + 4 \, \sqrt{b 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} c^{2} d^{3} {\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)}^{2} a^{5} b^{3} c d^{4} {\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 b^{5} c^{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)}^{4} a^{2} b^{4} c^{3} d {\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)}^{4} a^{3} b^{3} c^{2} d^{2} {\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^{4} b^{2} c d^{3} {\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)}^{6} a b^{3} c^{3} {\left| b \right|} - 22 \, \sqrt{b 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} c^{2} d {\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)}^{6} a^{3} b c d^{2} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2}}}{48 \, b}"," ",0,"1/48*(2*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(4*(b*x + a)*d^2*abs(b)/b + (13*b*c*d^5*abs(b) + 5*a*d^6*abs(b))/(b*d^4))*(b*x + a) + 3*(11*b^2*c^2*d^4*abs(b) + 32*a*b*c*d^5*abs(b) + 5*a^2*d^6*abs(b))/(b*d^4))*sqrt(b*x + a) - 60*(3*sqrt(b*d)*a*b^3*c^3*abs(b) + 10*sqrt(b*d)*a^2*b^2*c^2*d*abs(b) + 3*sqrt(b*d)*a^3*b*c*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 15*(sqrt(b*d)*b^3*c^3*abs(b) + 15*sqrt(b*d)*a*b^2*c^2*d*abs(b) + 15*sqrt(b*d)*a^2*b*c*d^2*abs(b) + sqrt(b*d)*a^3*d^3*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b*d) - 24*(9*sqrt(b*d)*a*b^9*c^6*abs(b) - 27*sqrt(b*d)*a^2*b^8*c^5*d*abs(b) + 18*sqrt(b*d)*a^3*b^7*c^4*d^2*abs(b) + 18*sqrt(b*d)*a^4*b^6*c^3*d^3*abs(b) - 27*sqrt(b*d)*a^5*b^5*c^2*d^4*abs(b) + 9*sqrt(b*d)*a^6*b^4*c*d^5*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))^2*a*b^7*c^5*abs(b) + 4*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^4*d*abs(b) + 46*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^3*d^2*abs(b) + 4*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*c^2*d^3*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))^2*a^5*b^3*c*d^4*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*b^5*c^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))^4*a^2*b^4*c^3*d*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))^4*a^3*b^3*c^2*d^2*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^4*b^2*c*d^3*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))^6*a*b^3*c^3*abs(b) - 22*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*c^2*d*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))^6*a^3*b*c*d^2*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2)/b","B",0
670,1,2357,0,99.439005," ","integrate((b*x+a)^(5/2)*(d*x+c)^(5/2)/x^4,x, algorithm=""giac"")","\frac{6 \, {\left(2 \, {\left(b x + a\right)} d^{2} {\left| b \right|} + \frac{9 \, b c d^{3} {\left| b \right|} + 7 \, a d^{4} {\left| b \right|}}{d^{2}}\right)} \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} - 15 \, {\left(3 \, \sqrt{b d} b^{2} c^{2} {\left| b \right|} + 10 \, \sqrt{b d} a b c d {\left| b \right|} + 3 \, \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) - \frac{15 \, {\left(\sqrt{b d} b^{4} c^{3} {\left| b \right|} + 15 \, \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} + 15 \, \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} + \sqrt{b d} a^{3} b d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b} - \frac{2 \, {\left(33 \, \sqrt{b d} b^{14} c^{8} {\left| b \right|} - 76 \, \sqrt{b d} a b^{13} c^{7} d {\left| b \right|} - 204 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} {\left| b \right|} + 972 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} {\left| b \right|} - 1450 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} {\left| b \right|} + 972 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} {\left| b \right|} - 204 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} {\left| b \right|} - 76 \, \sqrt{b d} a^{7} b^{7} c d^{7} {\left| b \right|} + 33 \, \sqrt{b d} a^{8} b^{6} 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} b^{12} c^{7} {\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)}^{2} a b^{11} c^{6} d {\left| b \right|} + 1179 \, \sqrt{b 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^{5} d^{2} {\left| b \right|} - 951 \, \sqrt{b 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^{4} d^{3} {\left| b \right|} - 951 \, \sqrt{b 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^{3} d^{4} {\left| b \right|} + 1179 \, \sqrt{b 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^{2} 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)}^{2} a^{6} b^{6} c 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^{7} b^{5} d^{7} {\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} b^{10} c^{6} {\left| b \right|} + 852 \, \sqrt{b 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^{5} d {\left| b \right|} - 714 \, \sqrt{b 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^{4} d^{2} {\left| b \right|} - 936 \, \sqrt{b 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^{3} d^{3} {\left| b \right|} - 714 \, \sqrt{b 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^{2} d^{4} {\left| b \right|} + 852 \, \sqrt{b 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} c 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^{6} b^{4} d^{6} {\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)}^{6} b^{8} c^{5} {\left| b \right|} - 1418 \, \sqrt{b 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^{4} d {\left| b \right|} - 1260 \, \sqrt{b 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^{3} d^{2} {\left| b \right|} - 1260 \, \sqrt{b 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^{2} d^{3} {\left| b \right|} - 1418 \, \sqrt{b 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} c d^{4} {\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)}^{6} a^{5} b^{3} d^{5} {\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)}^{8} b^{6} c^{4} {\left| b \right|} + 912 \, \sqrt{b 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^{3} d {\left| b \right|} + 1206 \, \sqrt{b 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^{2} d^{2} {\left| b \right|} + 912 \, \sqrt{b 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} c d^{3} {\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)}^{8} a^{4} b^{2} d^{4} {\left| b \right|} - 33 \, \sqrt{b 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^{3} {\left| b \right|} - 207 \, \sqrt{b 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^{2} d {\left| b \right|} - 207 \, \sqrt{b 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} c d^{2} {\left| b \right|} - 33 \, \sqrt{b 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 d^{3} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3}}}{24 \, b}"," ",0,"1/24*(6*(2*(b*x + a)*d^2*abs(b) + (9*b*c*d^3*abs(b) + 7*a*d^4*abs(b))/d^2)*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a) - 15*(3*sqrt(b*d)*b^2*c^2*abs(b) + 10*sqrt(b*d)*a*b*c*d*abs(b) + 3*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) - 15*(sqrt(b*d)*b^4*c^3*abs(b) + 15*sqrt(b*d)*a*b^3*c^2*d*abs(b) + 15*sqrt(b*d)*a^2*b^2*c*d^2*abs(b) + sqrt(b*d)*a^3*b*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b) - 2*(33*sqrt(b*d)*b^14*c^8*abs(b) - 76*sqrt(b*d)*a*b^13*c^7*d*abs(b) - 204*sqrt(b*d)*a^2*b^12*c^6*d^2*abs(b) + 972*sqrt(b*d)*a^3*b^11*c^5*d^3*abs(b) - 1450*sqrt(b*d)*a^4*b^10*c^4*d^4*abs(b) + 972*sqrt(b*d)*a^5*b^9*c^3*d^5*abs(b) - 204*sqrt(b*d)*a^6*b^8*c^2*d^6*abs(b) - 76*sqrt(b*d)*a^7*b^7*c*d^7*abs(b) + 33*sqrt(b*d)*a^8*b^6*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*b^12*c^7*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))^2*a*b^11*c^6*d*abs(b) + 1179*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^5*d^2*abs(b) - 951*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^4*d^3*abs(b) - 951*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^3*d^4*abs(b) + 1179*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^2*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))^2*a^6*b^6*c*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^7*b^5*d^7*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*b^10*c^6*abs(b) + 852*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^5*d*abs(b) - 714*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^4*d^2*abs(b) - 936*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^3*d^3*abs(b) - 714*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^2*d^4*abs(b) + 852*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*c*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^6*b^4*d^6*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))^6*b^8*c^5*abs(b) - 1418*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^4*d*abs(b) - 1260*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^3*d^2*abs(b) - 1260*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^2*d^3*abs(b) - 1418*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*c*d^4*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))^6*a^5*b^3*d^5*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))^8*b^6*c^4*abs(b) + 912*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^3*d*abs(b) + 1206*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^2*d^2*abs(b) + 912*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*c*d^3*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))^8*a^4*b^2*d^4*abs(b) - 33*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^3*abs(b) - 207*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^2*d*abs(b) - 207*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*c*d^2*abs(b) - 33*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*d^3*abs(b))/(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3)/b","B",0
671,1,3937,0,11.966771," ","integrate((b*x+a)^(5/2)*(d*x+c)^(5/2)/x^5,x, algorithm=""giac"")","\frac{192 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} b d^{2} {\left| b \right|} - 480 \, {\left(\sqrt{b d} b^{2} c d {\left| b \right|} + \sqrt{b d} a b 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) + \frac{15 \, {\left(\sqrt{b d} b^{5} c^{4} {\left| b \right|} - 20 \, \sqrt{b d} a b^{4} c^{3} d {\left| b \right|} - 90 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} - 20 \, \sqrt{b d} a^{3} b^{2} c d^{3} {\left| b \right|} + \sqrt{b d} a^{4} b d^{4} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b c} - \frac{2 \, {\left(15 \, \sqrt{b d} b^{19} c^{11} {\left| b \right|} + 481 \, \sqrt{b d} a b^{18} c^{10} d {\left| b \right|} - 3787 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} {\left| b \right|} + 11195 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} {\left| b \right|} - 15898 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} {\left| b \right|} + 7994 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} {\left| b \right|} + 7994 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} {\left| b \right|} - 15898 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} {\left| b \right|} + 11195 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} {\left| b \right|} - 3787 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} {\left| b \right|} + 481 \, \sqrt{b d} a^{10} b^{9} c d^{10} {\left| b \right|} + 15 \, \sqrt{b d} a^{11} b^{8} d^{11} {\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)}^{2} b^{17} c^{10} {\left| b \right|} - 3446 \, \sqrt{b 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^{16} c^{9} d {\left| b \right|} + 15371 \, \sqrt{b 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^{15} c^{8} d^{2} {\left| b \right|} - 18056 \, \sqrt{b 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^{14} c^{7} d^{3} {\left| b \right|} - 8354 \, \sqrt{b 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^{13} c^{6} d^{4} {\left| b \right|} + 29180 \, \sqrt{b 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^{12} c^{5} d^{5} {\left| b \right|} - 8354 \, \sqrt{b 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^{11} c^{4} d^{6} {\left| b \right|} - 18056 \, \sqrt{b 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^{10} c^{3} d^{7} {\left| b \right|} + 15371 \, \sqrt{b 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^{9} c^{2} d^{8} {\left| b \right|} - 3446 \, \sqrt{b 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^{9} b^{8} c d^{9} {\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)}^{2} a^{10} b^{7} d^{10} {\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)}^{4} b^{15} c^{9} {\left| b \right|} + 10867 \, \sqrt{b 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^{14} c^{8} d {\left| b \right|} - 19124 \, \sqrt{b 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^{13} c^{7} d^{2} {\left| b \right|} - 10980 \, \sqrt{b 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^{12} c^{6} d^{3} {\left| b \right|} + 18922 \, \sqrt{b 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^{11} c^{5} d^{4} {\left| b \right|} + 18922 \, \sqrt{b 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^{10} c^{4} d^{5} {\left| b \right|} - 10980 \, \sqrt{b 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^{9} c^{3} d^{6} {\left| b \right|} - 19124 \, \sqrt{b 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^{8} c^{2} d^{7} {\left| b \right|} + 10867 \, \sqrt{b 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^{8} b^{7} c d^{8} {\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)}^{4} a^{9} b^{6} d^{9} {\left| b \right|} - 525 \, \sqrt{b 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^{13} c^{8} {\left| b \right|} - 19480 \, \sqrt{b 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^{12} c^{7} d {\left| b \right|} - 4460 \, \sqrt{b 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^{11} c^{6} d^{2} {\left| b \right|} + 19288 \, \sqrt{b 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^{10} c^{5} d^{3} {\left| b \right|} + 10354 \, \sqrt{b 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^{9} c^{4} d^{4} {\left| b \right|} + 19288 \, \sqrt{b 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^{8} c^{3} d^{5} {\left| b \right|} - 4460 \, \sqrt{b 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^{7} c^{2} d^{6} {\left| b \right|} - 19480 \, \sqrt{b 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^{7} b^{6} c d^{7} {\left| b \right|} - 525 \, \sqrt{b 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^{8} b^{5} d^{8} {\left| b \right|} + 525 \, \sqrt{b 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^{11} c^{7} {\left| b \right|} + 21335 \, \sqrt{b 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^{10} c^{6} d {\left| b \right|} + 33325 \, \sqrt{b 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^{9} c^{5} d^{2} {\left| b \right|} + 23663 \, \sqrt{b 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^{8} c^{4} d^{3} {\left| b \right|} + 23663 \, \sqrt{b 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^{7} c^{3} d^{4} {\left| b \right|} + 33325 \, \sqrt{b 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^{6} c^{2} d^{5} {\left| b \right|} + 21335 \, \sqrt{b 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^{6} b^{5} c d^{6} {\left| b \right|} + 525 \, \sqrt{b 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^{7} b^{4} 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^{9} c^{6} {\left| b \right|} - 14206 \, \sqrt{b 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^{8} c^{5} d {\left| b \right|} - 33013 \, \sqrt{b 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^{7} c^{4} d^{2} {\left| b \right|} - 38052 \, \sqrt{b 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^{6} c^{3} d^{3} {\left| b \right|} - 33013 \, \sqrt{b 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^{5} c^{2} d^{4} {\left| b \right|} - 14206 \, \sqrt{b 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^{5} b^{4} 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^{6} b^{3} 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^{7} c^{5} {\left| b \right|} + 5301 \, \sqrt{b 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^{6} c^{4} d {\left| b \right|} + 13794 \, \sqrt{b 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^{5} c^{3} d^{2} {\left| b \right|} + 13794 \, \sqrt{b 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^{4} c^{2} d^{3} {\left| b \right|} + 5301 \, \sqrt{b 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^{4} b^{3} 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^{5} b^{2} d^{5} {\left| b \right|} - 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)}^{14} b^{5} c^{4} {\left| b \right|} - 852 \, \sqrt{b 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^{4} c^{3} d {\left| b \right|} - 2106 \, \sqrt{b 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^{3} c^{2} d^{2} {\left| b \right|} - 852 \, \sqrt{b 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^{3} b^{2} c d^{3} {\left| b \right|} - 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)}^{14} a^{4} b d^{4} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a c}}{192 \, b}"," ",0,"1/192*(192*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*b*d^2*abs(b) - 480*(sqrt(b*d)*b^2*c*d*abs(b) + sqrt(b*d)*a*b*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) + 15*(sqrt(b*d)*b^5*c^4*abs(b) - 20*sqrt(b*d)*a*b^4*c^3*d*abs(b) - 90*sqrt(b*d)*a^2*b^3*c^2*d^2*abs(b) - 20*sqrt(b*d)*a^3*b^2*c*d^3*abs(b) + sqrt(b*d)*a^4*b*d^4*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c) - 2*(15*sqrt(b*d)*b^19*c^11*abs(b) + 481*sqrt(b*d)*a*b^18*c^10*d*abs(b) - 3787*sqrt(b*d)*a^2*b^17*c^9*d^2*abs(b) + 11195*sqrt(b*d)*a^3*b^16*c^8*d^3*abs(b) - 15898*sqrt(b*d)*a^4*b^15*c^7*d^4*abs(b) + 7994*sqrt(b*d)*a^5*b^14*c^6*d^5*abs(b) + 7994*sqrt(b*d)*a^6*b^13*c^5*d^6*abs(b) - 15898*sqrt(b*d)*a^7*b^12*c^4*d^7*abs(b) + 11195*sqrt(b*d)*a^8*b^11*c^3*d^8*abs(b) - 3787*sqrt(b*d)*a^9*b^10*c^2*d^9*abs(b) + 481*sqrt(b*d)*a^10*b^9*c*d^10*abs(b) + 15*sqrt(b*d)*a^11*b^8*d^11*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))^2*b^17*c^10*abs(b) - 3446*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^16*c^9*d*abs(b) + 15371*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^15*c^8*d^2*abs(b) - 18056*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^14*c^7*d^3*abs(b) - 8354*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^13*c^6*d^4*abs(b) + 29180*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^12*c^5*d^5*abs(b) - 8354*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^11*c^4*d^6*abs(b) - 18056*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^10*c^3*d^7*abs(b) + 15371*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^9*c^2*d^8*abs(b) - 3446*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9*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))^2*a^10*b^7*d^10*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))^4*b^15*c^9*abs(b) + 10867*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^14*c^8*d*abs(b) - 19124*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^13*c^7*d^2*abs(b) - 10980*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^12*c^6*d^3*abs(b) + 18922*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^11*c^5*d^4*abs(b) + 18922*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^10*c^4*d^5*abs(b) - 10980*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^9*c^3*d^6*abs(b) - 19124*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^8*c^2*d^7*abs(b) + 10867*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*d^8*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))^4*a^9*b^6*d^9*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^13*c^8*abs(b) - 19480*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^12*c^7*d*abs(b) - 4460*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^11*c^6*d^2*abs(b) + 19288*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^10*c^5*d^3*abs(b) + 10354*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^9*c^4*d^4*abs(b) + 19288*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^8*c^3*d^5*abs(b) - 4460*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^7*c^2*d^6*abs(b) - 19480*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*d^7*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^5*d^8*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^11*c^7*abs(b) + 21335*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^10*c^6*d*abs(b) + 33325*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^9*c^5*d^2*abs(b) + 23663*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^8*c^4*d^3*abs(b) + 23663*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^7*c^3*d^4*abs(b) + 33325*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^6*c^2*d^5*abs(b) + 21335*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^5*c*d^6*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^4*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^9*c^6*abs(b) - 14206*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^8*c^5*d*abs(b) - 33013*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^7*c^4*d^2*abs(b) - 38052*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^6*c^3*d^3*abs(b) - 33013*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^5*c^2*d^4*abs(b) - 14206*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*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^6*b^3*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^7*c^5*abs(b) + 5301*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^6*c^4*d*abs(b) + 13794*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^5*c^3*d^2*abs(b) + 13794*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^4*c^2*d^3*abs(b) + 5301*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^3*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^5*b^2*d^5*abs(b) - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^5*c^4*abs(b) - 852*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^4*c^3*d*abs(b) - 2106*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^3*c^2*d^2*abs(b) - 852*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^2*c*d^3*abs(b) - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b*d^4*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a*c))/b","B",0
672,1,5983,0,15.049921," ","integrate((b*x+a)^(5/2)*(d*x+c)^(5/2)/x^6,x, algorithm=""giac"")","-\frac{1920 \, \sqrt{b d} b^{2} 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) + \frac{15 \, {\left(3 \, \sqrt{b d} b^{6} c^{5} {\left| b \right|} - 25 \, \sqrt{b d} a b^{5} c^{4} d {\left| b \right|} + 150 \, \sqrt{b d} a^{2} b^{4} c^{3} d^{2} {\left| b \right|} + 150 \, \sqrt{b d} a^{3} b^{3} c^{2} d^{3} {\left| b \right|} - 25 \, \sqrt{b d} a^{4} b^{2} c d^{4} {\left| b \right|} + 3 \, \sqrt{b d} a^{5} b d^{5} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b c^{2}} - \frac{2 \, {\left(45 \, \sqrt{b d} b^{24} c^{14} {\left| b \right|} - 810 \, \sqrt{b d} a b^{23} c^{13} d {\left| b \right|} + 1871 \, \sqrt{b d} a^{2} b^{22} c^{12} d^{2} {\left| b \right|} + 15580 \, \sqrt{b d} a^{3} b^{21} c^{11} d^{3} {\left| b \right|} - 112635 \, \sqrt{b d} a^{4} b^{20} c^{10} d^{4} {\left| b \right|} + 346890 \, \sqrt{b d} a^{5} b^{19} c^{9} d^{5} {\left| b \right|} - 642945 \, \sqrt{b d} a^{6} b^{18} c^{8} d^{6} {\left| b \right|} + 784008 \, \sqrt{b d} a^{7} b^{17} c^{7} d^{7} {\left| b \right|} - 642945 \, \sqrt{b d} a^{8} b^{16} c^{6} d^{8} {\left| b \right|} + 346890 \, \sqrt{b d} a^{9} b^{15} c^{5} d^{9} {\left| b \right|} - 112635 \, \sqrt{b d} a^{10} b^{14} c^{4} d^{10} {\left| b \right|} + 15580 \, \sqrt{b d} a^{11} b^{13} c^{3} d^{11} {\left| b \right|} + 1871 \, \sqrt{b d} a^{12} b^{12} c^{2} d^{12} {\left| b \right|} - 810 \, \sqrt{b d} a^{13} b^{11} c d^{13} {\left| b \right|} + 45 \, \sqrt{b d} a^{14} b^{10} d^{14} {\left| b \right|} - 405 \, \sqrt{b 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^{22} c^{13} {\left| b \right|} + 6015 \, \sqrt{b 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^{21} c^{12} d {\left| b \right|} - 1670 \, \sqrt{b 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^{20} c^{11} d^{2} {\left| b \right|} - 122710 \, \sqrt{b 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^{19} c^{10} d^{3} {\left| b \right|} + 456425 \, \sqrt{b 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^{18} c^{9} d^{4} {\left| b \right|} - 698035 \, \sqrt{b 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^{17} c^{8} d^{5} {\left| b \right|} + 360380 \, \sqrt{b 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^{16} c^{7} d^{6} {\left| b \right|} + 360380 \, \sqrt{b 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^{15} c^{6} d^{7} {\left| b \right|} - 698035 \, \sqrt{b 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^{14} c^{5} d^{8} {\left| b \right|} + 456425 \, \sqrt{b 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^{9} b^{13} c^{4} d^{9} {\left| b \right|} - 122710 \, \sqrt{b 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^{10} b^{12} c^{3} d^{10} {\left| b \right|} - 1670 \, \sqrt{b 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^{11} b^{11} c^{2} d^{11} {\left| b \right|} + 6015 \, \sqrt{b 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^{12} b^{10} c d^{12} {\left| b \right|} - 405 \, \sqrt{b 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^{13} b^{9} d^{13} {\left| b \right|} + 1620 \, \sqrt{b 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^{20} c^{12} {\left| b \right|} - 19800 \, \sqrt{b 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^{19} c^{11} d {\left| b \right|} - 43560 \, \sqrt{b 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^{18} c^{10} d^{2} {\left| b \right|} + 389000 \, \sqrt{b 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^{17} c^{9} d^{3} {\left| b \right|} - 642900 \, \sqrt{b 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^{16} c^{8} d^{4} {\left| b \right|} + 204240 \, \sqrt{b 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^{15} c^{7} d^{5} {\left| b \right|} + 222800 \, \sqrt{b 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^{14} c^{6} d^{6} {\left| b \right|} + 204240 \, \sqrt{b 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^{13} c^{5} d^{7} {\left| b \right|} - 642900 \, \sqrt{b 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^{8} b^{12} c^{4} d^{8} {\left| b \right|} + 389000 \, \sqrt{b 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^{9} b^{11} c^{3} d^{9} {\left| b \right|} - 43560 \, \sqrt{b 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^{10} b^{10} c^{2} d^{10} {\left| b \right|} - 19800 \, \sqrt{b 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^{11} b^{9} c d^{11} {\left| b \right|} + 1620 \, \sqrt{b 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^{12} b^{8} d^{12} {\left| b \right|} - 3780 \, \sqrt{b 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^{18} c^{11} {\left| b \right|} + 38220 \, \sqrt{b 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^{17} c^{10} d {\left| b \right|} + 194780 \, \sqrt{b 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^{16} c^{9} d^{2} {\left| b \right|} - 575220 \, \sqrt{b 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^{15} c^{8} d^{3} {\left| b \right|} + 231480 \, \sqrt{b 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^{14} c^{7} d^{4} {\left| b \right|} + 114520 \, \sqrt{b 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^{13} c^{6} d^{5} {\left| b \right|} + 114520 \, \sqrt{b 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^{12} c^{5} d^{6} {\left| b \right|} + 231480 \, \sqrt{b 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^{7} b^{11} c^{4} d^{7} {\left| b \right|} - 575220 \, \sqrt{b 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^{8} b^{10} c^{3} d^{8} {\left| b \right|} + 194780 \, \sqrt{b 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^{9} b^{9} c^{2} d^{9} {\left| b \right|} + 38220 \, \sqrt{b 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^{10} b^{8} c d^{10} {\left| b \right|} - 3780 \, \sqrt{b 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^{11} b^{7} d^{11} {\left| b \right|} + 5670 \, \sqrt{b 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^{16} c^{10} {\left| b \right|} - 48300 \, \sqrt{b 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^{15} c^{9} d {\left| b \right|} - 402290 \, \sqrt{b 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^{14} c^{8} d^{2} {\left| b \right|} + 272560 \, \sqrt{b 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^{13} c^{7} d^{3} {\left| b \right|} + 109900 \, \sqrt{b 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^{12} c^{6} d^{4} {\left| b \right|} + 124920 \, \sqrt{b 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^{11} c^{5} d^{5} {\left| b \right|} + 109900 \, \sqrt{b 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^{6} b^{10} c^{4} d^{6} {\left| b \right|} + 272560 \, \sqrt{b 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^{7} b^{9} c^{3} d^{7} {\left| b \right|} - 402290 \, \sqrt{b 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^{8} b^{8} c^{2} d^{8} {\left| b \right|} - 48300 \, \sqrt{b 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^{9} b^{7} c d^{9} {\left| b \right|} + 5670 \, \sqrt{b 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^{10} b^{6} d^{10} {\left| b \right|} - 5670 \, \sqrt{b 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^{14} c^{9} {\left| b \right|} + 42210 \, \sqrt{b 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^{13} c^{8} d {\left| b \right|} + 495504 \, \sqrt{b 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^{12} c^{7} d^{2} {\left| b \right|} + 327040 \, \sqrt{b 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^{11} c^{6} d^{3} {\left| b \right|} + 263220 \, \sqrt{b 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^{10} c^{5} d^{4} {\left| b \right|} + 263220 \, \sqrt{b 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^{5} b^{9} c^{4} d^{5} {\left| b \right|} + 327040 \, \sqrt{b 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^{6} b^{8} c^{3} d^{6} {\left| b \right|} + 495504 \, \sqrt{b 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^{7} b^{7} c^{2} d^{7} {\left| b \right|} + 42210 \, \sqrt{b 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^{8} b^{6} c d^{8} {\left| b \right|} - 5670 \, \sqrt{b 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^{9} b^{5} d^{9} {\left| b \right|} + 3780 \, \sqrt{b 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^{12} c^{8} {\left| b \right|} - 26040 \, \sqrt{b 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^{11} c^{7} d {\left| b \right|} - 393760 \, \sqrt{b 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^{10} c^{6} d^{2} {\left| b \right|} - 567880 \, \sqrt{b 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^{9} c^{5} d^{3} {\left| b \right|} - 592200 \, \sqrt{b 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^{4} b^{8} c^{4} d^{4} {\left| b \right|} - 567880 \, \sqrt{b 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^{5} b^{7} c^{3} d^{5} {\left| b \right|} - 393760 \, \sqrt{b 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^{6} b^{6} c^{2} d^{6} {\left| b \right|} - 26040 \, \sqrt{b 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^{7} b^{5} c d^{7} {\left| b \right|} + 3780 \, \sqrt{b 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^{8} b^{4} d^{8} {\left| b \right|} - 1620 \, \sqrt{b 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^{10} c^{7} {\left| b \right|} + 11100 \, \sqrt{b 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^{9} c^{6} d {\left| b \right|} + 203620 \, \sqrt{b 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^{8} c^{5} d^{2} {\left| b \right|} + 350100 \, \sqrt{b 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^{3} b^{7} c^{4} d^{3} {\left| b \right|} + 350100 \, \sqrt{b 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^{4} b^{6} c^{3} d^{4} {\left| b \right|} + 203620 \, \sqrt{b 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^{5} b^{5} c^{2} d^{5} {\left| b \right|} + 11100 \, \sqrt{b 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^{6} b^{4} c d^{6} {\left| b \right|} - 1620 \, \sqrt{b 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^{7} b^{3} d^{7} {\left| b \right|} + 405 \, \sqrt{b 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^{8} c^{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)}^{16} a b^{7} c^{5} d {\left| b \right|} - 63765 \, \sqrt{b 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^{2} b^{6} c^{4} d^{2} {\left| b \right|} - 97740 \, \sqrt{b 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^{3} b^{5} c^{3} d^{3} {\left| b \right|} - 63765 \, \sqrt{b 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^{4} b^{4} c^{2} d^{4} {\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)}^{16} a^{5} b^{3} c d^{5} {\left| b \right|} + 405 \, \sqrt{b 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^{6} b^{2} d^{6} {\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)}^{18} b^{6} c^{5} {\left| b \right|} + 375 \, \sqrt{b 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} a b^{5} c^{4} d {\left| b \right|} + 9270 \, \sqrt{b 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} a^{2} b^{4} c^{3} d^{2} {\left| b \right|} + 9270 \, \sqrt{b 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} a^{3} b^{3} c^{2} d^{3} {\left| b \right|} + 375 \, \sqrt{b 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} a^{4} b^{2} c 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)}^{18} a^{5} b d^{5} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{5} a^{2} c^{2}}}{1920 \, b}"," ",0,"-1/1920*(1920*sqrt(b*d)*b^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) + 15*(3*sqrt(b*d)*b^6*c^5*abs(b) - 25*sqrt(b*d)*a*b^5*c^4*d*abs(b) + 150*sqrt(b*d)*a^2*b^4*c^3*d^2*abs(b) + 150*sqrt(b*d)*a^3*b^3*c^2*d^3*abs(b) - 25*sqrt(b*d)*a^4*b^2*c*d^4*abs(b) + 3*sqrt(b*d)*a^5*b*d^5*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c^2) - 2*(45*sqrt(b*d)*b^24*c^14*abs(b) - 810*sqrt(b*d)*a*b^23*c^13*d*abs(b) + 1871*sqrt(b*d)*a^2*b^22*c^12*d^2*abs(b) + 15580*sqrt(b*d)*a^3*b^21*c^11*d^3*abs(b) - 112635*sqrt(b*d)*a^4*b^20*c^10*d^4*abs(b) + 346890*sqrt(b*d)*a^5*b^19*c^9*d^5*abs(b) - 642945*sqrt(b*d)*a^6*b^18*c^8*d^6*abs(b) + 784008*sqrt(b*d)*a^7*b^17*c^7*d^7*abs(b) - 642945*sqrt(b*d)*a^8*b^16*c^6*d^8*abs(b) + 346890*sqrt(b*d)*a^9*b^15*c^5*d^9*abs(b) - 112635*sqrt(b*d)*a^10*b^14*c^4*d^10*abs(b) + 15580*sqrt(b*d)*a^11*b^13*c^3*d^11*abs(b) + 1871*sqrt(b*d)*a^12*b^12*c^2*d^12*abs(b) - 810*sqrt(b*d)*a^13*b^11*c*d^13*abs(b) + 45*sqrt(b*d)*a^14*b^10*d^14*abs(b) - 405*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^22*c^13*abs(b) + 6015*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^21*c^12*d*abs(b) - 1670*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^20*c^11*d^2*abs(b) - 122710*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^19*c^10*d^3*abs(b) + 456425*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^18*c^9*d^4*abs(b) - 698035*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^17*c^8*d^5*abs(b) + 360380*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^16*c^7*d^6*abs(b) + 360380*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^15*c^6*d^7*abs(b) - 698035*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^14*c^5*d^8*abs(b) + 456425*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^13*c^4*d^9*abs(b) - 122710*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^10*b^12*c^3*d^10*abs(b) - 1670*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^11*b^11*c^2*d^11*abs(b) + 6015*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^12*b^10*c*d^12*abs(b) - 405*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^13*b^9*d^13*abs(b) + 1620*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^20*c^12*abs(b) - 19800*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^19*c^11*d*abs(b) - 43560*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^18*c^10*d^2*abs(b) + 389000*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^17*c^9*d^3*abs(b) - 642900*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^16*c^8*d^4*abs(b) + 204240*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^15*c^7*d^5*abs(b) + 222800*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^14*c^6*d^6*abs(b) + 204240*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^13*c^5*d^7*abs(b) - 642900*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^12*c^4*d^8*abs(b) + 389000*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^9*b^11*c^3*d^9*abs(b) - 43560*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^10*b^10*c^2*d^10*abs(b) - 19800*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^11*b^9*c*d^11*abs(b) + 1620*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^12*b^8*d^12*abs(b) - 3780*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^18*c^11*abs(b) + 38220*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^17*c^10*d*abs(b) + 194780*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^16*c^9*d^2*abs(b) - 575220*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^15*c^8*d^3*abs(b) + 231480*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^14*c^7*d^4*abs(b) + 114520*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^13*c^6*d^5*abs(b) + 114520*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^12*c^5*d^6*abs(b) + 231480*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^11*c^4*d^7*abs(b) - 575220*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^10*c^3*d^8*abs(b) + 194780*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^9*b^9*c^2*d^9*abs(b) + 38220*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^10*b^8*c*d^10*abs(b) - 3780*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^11*b^7*d^11*abs(b) + 5670*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^16*c^10*abs(b) - 48300*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^15*c^9*d*abs(b) - 402290*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^14*c^8*d^2*abs(b) + 272560*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^13*c^7*d^3*abs(b) + 109900*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^12*c^6*d^4*abs(b) + 124920*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^11*c^5*d^5*abs(b) + 109900*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^10*c^4*d^6*abs(b) + 272560*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^9*c^3*d^7*abs(b) - 402290*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^8*b^8*c^2*d^8*abs(b) - 48300*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^9*b^7*c*d^9*abs(b) + 5670*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^10*b^6*d^10*abs(b) - 5670*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^14*c^9*abs(b) + 42210*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^13*c^8*d*abs(b) + 495504*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^12*c^7*d^2*abs(b) + 327040*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^11*c^6*d^3*abs(b) + 263220*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^10*c^5*d^4*abs(b) + 263220*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^9*c^4*d^5*abs(b) + 327040*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^6*b^8*c^3*d^6*abs(b) + 495504*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^7*b^7*c^2*d^7*abs(b) + 42210*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^8*b^6*c*d^8*abs(b) - 5670*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^9*b^5*d^9*abs(b) + 3780*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^12*c^8*abs(b) - 26040*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^11*c^7*d*abs(b) - 393760*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^10*c^6*d^2*abs(b) - 567880*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^9*c^5*d^3*abs(b) - 592200*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^8*c^4*d^4*abs(b) - 567880*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^5*b^7*c^3*d^5*abs(b) - 393760*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^6*b^6*c^2*d^6*abs(b) - 26040*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^7*b^5*c*d^7*abs(b) + 3780*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^8*b^4*d^8*abs(b) - 1620*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^10*c^7*abs(b) + 11100*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^9*c^6*d*abs(b) + 203620*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^8*c^5*d^2*abs(b) + 350100*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^7*c^4*d^3*abs(b) + 350100*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b^6*c^3*d^4*abs(b) + 203620*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^5*b^5*c^2*d^5*abs(b) + 11100*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^6*b^4*c*d^6*abs(b) - 1620*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^7*b^3*d^7*abs(b) + 405*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*b^8*c^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))^16*a*b^7*c^5*d*abs(b) - 63765*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^2*b^6*c^4*d^2*abs(b) - 97740*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^3*b^5*c^3*d^3*abs(b) - 63765*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^4*b^4*c^2*d^4*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))^16*a^5*b^3*c*d^5*abs(b) + 405*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^6*b^2*d^6*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))^18*b^6*c^5*abs(b) + 375*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a*b^5*c^4*d*abs(b) + 9270*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^2*b^4*c^3*d^2*abs(b) + 9270*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^3*b^3*c^2*d^3*abs(b) + 375*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^4*b^2*c*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))^18*a^5*b*d^5*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^5*a^2*c^2))/b","B",0
673,1,8500,0,34.643172," ","integrate((b*x+a)^(5/2)*(d*x+c)^(5/2)/x^7,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(\sqrt{b d} b^{7} c^{6} {\left| b \right|} - 6 \, \sqrt{b d} a b^{6} c^{5} d {\left| b \right|} + 15 \, \sqrt{b d} a^{2} b^{5} c^{4} d^{2} {\left| b \right|} - 20 \, \sqrt{b d} a^{3} b^{4} c^{3} d^{3} {\left| b \right|} + 15 \, \sqrt{b d} a^{4} b^{3} c^{2} d^{4} {\left| b \right|} - 6 \, \sqrt{b d} a^{5} b^{2} c d^{5} {\left| b \right|} + \sqrt{b d} a^{6} b d^{6} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{3} b c^{3}} - \frac{2 \, {\left(15 \, \sqrt{b d} b^{29} c^{17} {\left| b \right|} - 265 \, \sqrt{b d} a b^{28} c^{16} d {\left| b \right|} + 2208 \, \sqrt{b d} a^{2} b^{27} c^{15} d^{2} {\left| b \right|} - 11088 \, \sqrt{b d} a^{3} b^{26} c^{14} d^{3} {\left| b \right|} + 36732 \, \sqrt{b d} a^{4} b^{25} c^{13} d^{4} {\left| b \right|} - 83412 \, \sqrt{b d} a^{5} b^{24} c^{12} d^{5} {\left| b \right|} + 129840 \, \sqrt{b d} a^{6} b^{23} c^{11} d^{6} {\left| b \right|} - 129536 \, \sqrt{b d} a^{7} b^{22} c^{10} d^{7} {\left| b \right|} + 55506 \, \sqrt{b d} a^{8} b^{21} c^{9} d^{8} {\left| b \right|} + 55506 \, \sqrt{b d} a^{9} b^{20} c^{8} d^{9} {\left| b \right|} - 129536 \, \sqrt{b d} a^{10} b^{19} c^{7} d^{10} {\left| b \right|} + 129840 \, \sqrt{b d} a^{11} b^{18} c^{6} d^{11} {\left| b \right|} - 83412 \, \sqrt{b d} a^{12} b^{17} c^{5} d^{12} {\left| b \right|} + 36732 \, \sqrt{b d} a^{13} b^{16} c^{4} d^{13} {\left| b \right|} - 11088 \, \sqrt{b d} a^{14} b^{15} c^{3} d^{14} {\left| b \right|} + 2208 \, \sqrt{b d} a^{15} b^{14} c^{2} d^{15} {\left| b \right|} - 265 \, \sqrt{b d} a^{16} b^{13} c d^{16} {\left| b \right|} + 15 \, \sqrt{b d} a^{17} b^{12} d^{17} {\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} b^{27} c^{16} {\left| b \right|} + 2400 \, \sqrt{b 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^{26} c^{15} d {\left| b \right|} - 16056 \, \sqrt{b 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^{25} c^{14} d^{2} {\left| b \right|} + 62880 \, \sqrt{b 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^{24} c^{13} d^{3} {\left| b \right|} - 156876 \, \sqrt{b 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^{23} c^{12} d^{4} {\left| b \right|} + 257760 \, \sqrt{b 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^{22} c^{11} d^{5} {\left| b \right|} - 282120 \, \sqrt{b 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^{21} c^{10} d^{6} {\left| b \right|} + 217632 \, \sqrt{b 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^{20} c^{9} d^{7} {\left| b \right|} - 170910 \, \sqrt{b 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^{19} c^{8} d^{8} {\left| b \right|} + 217632 \, \sqrt{b 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^{9} b^{18} c^{7} d^{9} {\left| b \right|} - 282120 \, \sqrt{b 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^{10} b^{17} c^{6} d^{10} {\left| b \right|} + 257760 \, \sqrt{b 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^{11} b^{16} c^{5} d^{11} {\left| b \right|} - 156876 \, \sqrt{b 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^{12} b^{15} c^{4} d^{12} {\left| b \right|} + 62880 \, \sqrt{b 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^{13} b^{14} c^{3} d^{13} {\left| b \right|} - 16056 \, \sqrt{b 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^{14} b^{13} c^{2} d^{14} {\left| b \right|} + 2400 \, \sqrt{b 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^{15} b^{12} c d^{15} {\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^{16} b^{11} d^{16} {\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} b^{25} c^{15} {\left| b \right|} - 9765 \, \sqrt{b 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^{24} c^{14} d {\left| b \right|} + 51813 \, \sqrt{b 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^{23} c^{13} d^{2} {\left| b \right|} - 147657 \, \sqrt{b 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^{22} c^{12} d^{3} {\left| b \right|} + 229845 \, \sqrt{b 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^{21} c^{11} d^{4} {\left| b \right|} - 168225 \, \sqrt{b 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^{20} c^{10} d^{5} {\left| b \right|} + 6945 \, \sqrt{b 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^{19} c^{9} d^{6} {\left| b \right|} + 36219 \, \sqrt{b 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^{18} c^{8} d^{7} {\left| b \right|} + 36219 \, \sqrt{b 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^{8} b^{17} c^{7} d^{8} {\left| b \right|} + 6945 \, \sqrt{b 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^{9} b^{16} c^{6} d^{9} {\left| b \right|} - 168225 \, \sqrt{b 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^{10} b^{15} c^{5} d^{10} {\left| b \right|} + 229845 \, \sqrt{b 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^{11} b^{14} c^{4} d^{11} {\left| b \right|} - 147657 \, \sqrt{b 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^{12} b^{13} c^{3} d^{12} {\left| b \right|} + 51813 \, \sqrt{b 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^{13} b^{12} c^{2} d^{13} {\left| b \right|} - 9765 \, \sqrt{b 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^{14} b^{11} c d^{14} {\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^{15} b^{10} d^{15} {\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)}^{6} b^{23} c^{14} {\left| b \right|} + 23610 \, \sqrt{b 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^{22} c^{13} d {\left| b \right|} - 98505 \, \sqrt{b 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^{21} c^{12} d^{2} {\left| b \right|} + 183780 \, \sqrt{b 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^{20} c^{11} d^{3} {\left| b \right|} - 103075 \, \sqrt{b 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^{19} c^{10} d^{4} {\left| b \right|} - 125850 \, \sqrt{b 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^{18} c^{9} d^{5} {\left| b \right|} + 224535 \, \sqrt{b 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^{17} c^{8} d^{6} {\left| b \right|} - 204040 \, \sqrt{b 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^{7} b^{16} c^{7} d^{7} {\left| b \right|} + 224535 \, \sqrt{b 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^{8} b^{15} c^{6} d^{8} {\left| b \right|} - 125850 \, \sqrt{b 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^{9} b^{14} c^{5} d^{9} {\left| b \right|} - 103075 \, \sqrt{b 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^{10} b^{13} c^{4} d^{10} {\left| b \right|} + 183780 \, \sqrt{b 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^{11} b^{12} c^{3} d^{11} {\left| b \right|} - 98505 \, \sqrt{b 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^{12} b^{11} c^{2} d^{12} {\left| b \right|} + 23610 \, \sqrt{b 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^{13} b^{10} c d^{13} {\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)}^{6} a^{14} b^{9} d^{14} {\left| b \right|} + 4950 \, \sqrt{b 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^{21} c^{13} {\left| b \right|} - 37890 \, \sqrt{b 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^{20} c^{12} d {\left| b \right|} + 124020 \, \sqrt{b 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^{19} c^{11} d^{2} {\left| b \right|} - 115500 \, \sqrt{b 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^{18} c^{10} d^{3} {\left| b \right|} - 57390 \, \sqrt{b 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^{17} c^{9} d^{4} {\left| b \right|} + 89370 \, \sqrt{b 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^{16} c^{8} d^{5} {\left| b \right|} - 7560 \, \sqrt{b 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^{6} b^{15} c^{7} d^{6} {\left| b \right|} - 7560 \, \sqrt{b 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^{7} b^{14} c^{6} d^{7} {\left| b \right|} + 89370 \, \sqrt{b 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^{8} b^{13} c^{5} d^{8} {\left| b \right|} - 57390 \, \sqrt{b 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^{9} b^{12} c^{4} d^{9} {\left| b \right|} - 115500 \, \sqrt{b 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^{10} b^{11} c^{3} d^{10} {\left| b \right|} + 124020 \, \sqrt{b 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^{11} b^{10} c^{2} d^{11} {\left| b \right|} - 37890 \, \sqrt{b 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^{12} b^{9} c d^{12} {\left| b \right|} + 4950 \, \sqrt{b 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^{13} b^{8} d^{13} {\left| b \right|} - 6930 \, \sqrt{b 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^{19} c^{12} {\left| b \right|} + 42840 \, \sqrt{b 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^{18} c^{11} d {\left| b \right|} - 110628 \, \sqrt{b 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^{17} c^{10} d^{2} {\left| b \right|} - 16392 \, \sqrt{b 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^{16} c^{9} d^{3} {\left| b \right|} + 60978 \, \sqrt{b 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^{15} c^{8} d^{4} {\left| b \right|} + 65712 \, \sqrt{b 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^{5} b^{14} c^{7} d^{5} {\left| b \right|} - 71160 \, \sqrt{b 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^{6} b^{13} c^{6} d^{6} {\left| b \right|} + 65712 \, \sqrt{b 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^{7} b^{12} c^{5} d^{7} {\left| b \right|} + 60978 \, \sqrt{b 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^{8} b^{11} c^{4} d^{8} {\left| b \right|} - 16392 \, \sqrt{b 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^{9} b^{10} c^{3} d^{9} {\left| b \right|} - 110628 \, \sqrt{b 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^{10} b^{9} c^{2} d^{10} {\left| b \right|} + 42840 \, \sqrt{b 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^{11} b^{8} c d^{11} {\left| b \right|} - 6930 \, \sqrt{b 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^{12} b^{7} d^{12} {\left| b \right|} + 6930 \, \sqrt{b 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^{17} c^{11} {\left| b \right|} - 35490 \, \sqrt{b 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^{16} c^{10} d {\left| b \right|} + 73206 \, \sqrt{b 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^{15} c^{9} d^{2} {\left| b \right|} + 126522 \, \sqrt{b 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^{14} c^{8} d^{3} {\left| b \right|} + 38356 \, \sqrt{b 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^{4} b^{13} c^{7} d^{4} {\left| b \right|} + 52620 \, \sqrt{b 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^{5} b^{12} c^{6} d^{5} {\left| b \right|} + 52620 \, \sqrt{b 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^{6} b^{11} c^{5} d^{6} {\left| b \right|} + 38356 \, \sqrt{b 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^{7} b^{10} c^{4} d^{7} {\left| b \right|} + 126522 \, \sqrt{b 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^{8} b^{9} c^{3} d^{8} {\left| b \right|} + 73206 \, \sqrt{b 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^{9} b^{8} c^{2} d^{9} {\left| b \right|} - 35490 \, \sqrt{b 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^{10} b^{7} c d^{10} {\left| b \right|} + 6930 \, \sqrt{b 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^{11} b^{6} d^{11} {\left| b \right|} - 4950 \, \sqrt{b 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^{15} c^{10} {\left| b \right|} + 22140 \, \sqrt{b 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^{14} c^{9} d {\left| b \right|} - 37278 \, \sqrt{b 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^{13} c^{8} d^{2} {\left| b \right|} - 149808 \, \sqrt{b 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^{3} b^{12} c^{7} d^{3} {\left| b \right|} - 131340 \, \sqrt{b 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^{4} b^{11} c^{6} d^{4} {\left| b \right|} - 183960 \, \sqrt{b 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^{5} b^{10} c^{5} d^{5} {\left| b \right|} - 131340 \, \sqrt{b 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^{6} b^{9} c^{4} d^{6} {\left| b \right|} - 149808 \, \sqrt{b 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^{7} b^{8} c^{3} d^{7} {\left| b \right|} - 37278 \, \sqrt{b 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^{8} b^{7} c^{2} d^{8} {\left| b \right|} + 22140 \, \sqrt{b 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^{9} b^{6} c d^{9} {\left| b \right|} - 4950 \, \sqrt{b 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^{10} b^{5} d^{10} {\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)}^{16} b^{13} c^{9} {\left| b \right|} - 10485 \, \sqrt{b 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^{12} c^{8} d {\left| b \right|} + 15300 \, \sqrt{b 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^{2} b^{11} c^{7} d^{2} {\left| b \right|} + 99780 \, \sqrt{b 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^{3} b^{10} c^{6} d^{3} {\left| b \right|} + 138690 \, \sqrt{b 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^{4} b^{9} c^{5} d^{4} {\left| b \right|} + 138690 \, \sqrt{b 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^{5} b^{8} c^{4} d^{5} {\left| b \right|} + 99780 \, \sqrt{b 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^{6} b^{7} c^{3} d^{6} {\left| b \right|} + 15300 \, \sqrt{b 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^{7} b^{6} c^{2} d^{7} {\left| b \right|} - 10485 \, \sqrt{b 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^{8} b^{5} c d^{8} {\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)}^{16} a^{9} 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)}^{18} b^{11} c^{8} {\left| b \right|} + 3640 \, \sqrt{b 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} a b^{10} c^{7} d {\left| b \right|} - 5340 \, \sqrt{b 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} a^{2} b^{9} c^{6} d^{2} {\left| b \right|} - 44280 \, \sqrt{b 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} a^{3} b^{8} c^{5} d^{3} {\left| b \right|} - 70230 \, \sqrt{b 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} a^{4} b^{7} c^{4} d^{4} {\left| b \right|} - 44280 \, \sqrt{b 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} a^{5} b^{6} c^{3} d^{5} {\left| b \right|} - 5340 \, \sqrt{b 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} a^{6} b^{5} c^{2} d^{6} {\left| b \right|} + 3640 \, \sqrt{b 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} a^{7} 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)}^{18} a^{8} b^{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)}^{20} b^{9} c^{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)}^{20} a b^{8} c^{6} d {\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)}^{20} a^{2} b^{7} c^{5} d^{2} {\left| b \right|} + 14535 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{20} a^{3} b^{6} c^{4} d^{3} {\left| b \right|} + 14535 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{20} a^{4} b^{5} c^{3} d^{4} {\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)}^{20} a^{5} b^{4} c^{2} d^{5} {\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)}^{20} a^{6} b^{3} c 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)}^{20} a^{7} b^{2} d^{7} {\left| b \right|} - 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)}^{22} b^{7} c^{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)}^{22} a b^{6} c^{5} d {\left| b \right|} - 225 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a^{2} b^{5} c^{4} d^{2} {\left| b \right|} - 2772 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a^{3} b^{4} c^{3} d^{3} {\left| b \right|} - 225 \, \sqrt{b d} {\left(\sqrt{b d} \sqrt{b x + a} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}\right)}^{22} a^{4} b^{3} c^{2} d^{4} {\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)}^{22} a^{5} b^{2} c d^{5} {\left| b \right|} - 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)}^{22} a^{6} b d^{6} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{6} a^{3} c^{3}}}{1536 \, b}"," ",0,"1/1536*(15*(sqrt(b*d)*b^7*c^6*abs(b) - 6*sqrt(b*d)*a*b^6*c^5*d*abs(b) + 15*sqrt(b*d)*a^2*b^5*c^4*d^2*abs(b) - 20*sqrt(b*d)*a^3*b^4*c^3*d^3*abs(b) + 15*sqrt(b*d)*a^4*b^3*c^2*d^4*abs(b) - 6*sqrt(b*d)*a^5*b^2*c*d^5*abs(b) + sqrt(b*d)*a^6*b*d^6*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b*c^3) - 2*(15*sqrt(b*d)*b^29*c^17*abs(b) - 265*sqrt(b*d)*a*b^28*c^16*d*abs(b) + 2208*sqrt(b*d)*a^2*b^27*c^15*d^2*abs(b) - 11088*sqrt(b*d)*a^3*b^26*c^14*d^3*abs(b) + 36732*sqrt(b*d)*a^4*b^25*c^13*d^4*abs(b) - 83412*sqrt(b*d)*a^5*b^24*c^12*d^5*abs(b) + 129840*sqrt(b*d)*a^6*b^23*c^11*d^6*abs(b) - 129536*sqrt(b*d)*a^7*b^22*c^10*d^7*abs(b) + 55506*sqrt(b*d)*a^8*b^21*c^9*d^8*abs(b) + 55506*sqrt(b*d)*a^9*b^20*c^8*d^9*abs(b) - 129536*sqrt(b*d)*a^10*b^19*c^7*d^10*abs(b) + 129840*sqrt(b*d)*a^11*b^18*c^6*d^11*abs(b) - 83412*sqrt(b*d)*a^12*b^17*c^5*d^12*abs(b) + 36732*sqrt(b*d)*a^13*b^16*c^4*d^13*abs(b) - 11088*sqrt(b*d)*a^14*b^15*c^3*d^14*abs(b) + 2208*sqrt(b*d)*a^15*b^14*c^2*d^15*abs(b) - 265*sqrt(b*d)*a^16*b^13*c*d^16*abs(b) + 15*sqrt(b*d)*a^17*b^12*d^17*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*b^27*c^16*abs(b) + 2400*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^26*c^15*d*abs(b) - 16056*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^25*c^14*d^2*abs(b) + 62880*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^24*c^13*d^3*abs(b) - 156876*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^23*c^12*d^4*abs(b) + 257760*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^22*c^11*d^5*abs(b) - 282120*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^21*c^10*d^6*abs(b) + 217632*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^20*c^9*d^7*abs(b) - 170910*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^19*c^8*d^8*abs(b) + 217632*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^18*c^7*d^9*abs(b) - 282120*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^10*b^17*c^6*d^10*abs(b) + 257760*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^11*b^16*c^5*d^11*abs(b) - 156876*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^12*b^15*c^4*d^12*abs(b) + 62880*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^13*b^14*c^3*d^13*abs(b) - 16056*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^14*b^13*c^2*d^14*abs(b) + 2400*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^15*b^12*c*d^15*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^16*b^11*d^16*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*b^25*c^15*abs(b) - 9765*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^24*c^14*d*abs(b) + 51813*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^23*c^13*d^2*abs(b) - 147657*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^22*c^12*d^3*abs(b) + 229845*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^21*c^11*d^4*abs(b) - 168225*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^20*c^10*d^5*abs(b) + 6945*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^19*c^9*d^6*abs(b) + 36219*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^18*c^8*d^7*abs(b) + 36219*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^17*c^7*d^8*abs(b) + 6945*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^9*b^16*c^6*d^9*abs(b) - 168225*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^10*b^15*c^5*d^10*abs(b) + 229845*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^11*b^14*c^4*d^11*abs(b) - 147657*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^12*b^13*c^3*d^12*abs(b) + 51813*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^13*b^12*c^2*d^13*abs(b) - 9765*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^14*b^11*c*d^14*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^15*b^10*d^15*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))^6*b^23*c^14*abs(b) + 23610*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^22*c^13*d*abs(b) - 98505*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^21*c^12*d^2*abs(b) + 183780*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^20*c^11*d^3*abs(b) - 103075*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^19*c^10*d^4*abs(b) - 125850*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^18*c^9*d^5*abs(b) + 224535*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^17*c^8*d^6*abs(b) - 204040*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^16*c^7*d^7*abs(b) + 224535*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^15*c^6*d^8*abs(b) - 125850*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^9*b^14*c^5*d^9*abs(b) - 103075*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^10*b^13*c^4*d^10*abs(b) + 183780*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^11*b^12*c^3*d^11*abs(b) - 98505*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^12*b^11*c^2*d^12*abs(b) + 23610*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^13*b^10*c*d^13*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))^6*a^14*b^9*d^14*abs(b) + 4950*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^21*c^13*abs(b) - 37890*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^20*c^12*d*abs(b) + 124020*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^19*c^11*d^2*abs(b) - 115500*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^18*c^10*d^3*abs(b) - 57390*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^17*c^9*d^4*abs(b) + 89370*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^16*c^8*d^5*abs(b) - 7560*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^15*c^7*d^6*abs(b) - 7560*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^14*c^6*d^7*abs(b) + 89370*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^8*b^13*c^5*d^8*abs(b) - 57390*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^9*b^12*c^4*d^9*abs(b) - 115500*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^10*b^11*c^3*d^10*abs(b) + 124020*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^11*b^10*c^2*d^11*abs(b) - 37890*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^12*b^9*c*d^12*abs(b) + 4950*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^13*b^8*d^13*abs(b) - 6930*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^19*c^12*abs(b) + 42840*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^18*c^11*d*abs(b) - 110628*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^17*c^10*d^2*abs(b) - 16392*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^16*c^9*d^3*abs(b) + 60978*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^15*c^8*d^4*abs(b) + 65712*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^14*c^7*d^5*abs(b) - 71160*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^6*b^13*c^6*d^6*abs(b) + 65712*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^7*b^12*c^5*d^7*abs(b) + 60978*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^8*b^11*c^4*d^8*abs(b) - 16392*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^9*b^10*c^3*d^9*abs(b) - 110628*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^10*b^9*c^2*d^10*abs(b) + 42840*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^11*b^8*c*d^11*abs(b) - 6930*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^12*b^7*d^12*abs(b) + 6930*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^17*c^11*abs(b) - 35490*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^16*c^10*d*abs(b) + 73206*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^15*c^9*d^2*abs(b) + 126522*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^14*c^8*d^3*abs(b) + 38356*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^13*c^7*d^4*abs(b) + 52620*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^5*b^12*c^6*d^5*abs(b) + 52620*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^6*b^11*c^5*d^6*abs(b) + 38356*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^7*b^10*c^4*d^7*abs(b) + 126522*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^8*b^9*c^3*d^8*abs(b) + 73206*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^9*b^8*c^2*d^9*abs(b) - 35490*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^10*b^7*c*d^10*abs(b) + 6930*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^11*b^6*d^11*abs(b) - 4950*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^15*c^10*abs(b) + 22140*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^14*c^9*d*abs(b) - 37278*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^13*c^8*d^2*abs(b) - 149808*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^12*c^7*d^3*abs(b) - 131340*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b^11*c^6*d^4*abs(b) - 183960*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^5*b^10*c^5*d^5*abs(b) - 131340*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^6*b^9*c^4*d^6*abs(b) - 149808*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^7*b^8*c^3*d^7*abs(b) - 37278*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^8*b^7*c^2*d^8*abs(b) + 22140*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^9*b^6*c*d^9*abs(b) - 4950*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^10*b^5*d^10*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))^16*b^13*c^9*abs(b) - 10485*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^12*c^8*d*abs(b) + 15300*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^2*b^11*c^7*d^2*abs(b) + 99780*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^3*b^10*c^6*d^3*abs(b) + 138690*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^4*b^9*c^5*d^4*abs(b) + 138690*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^5*b^8*c^4*d^5*abs(b) + 99780*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^6*b^7*c^3*d^6*abs(b) + 15300*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^7*b^6*c^2*d^7*abs(b) - 10485*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^16*a^8*b^5*c*d^8*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))^16*a^9*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))^18*b^11*c^8*abs(b) + 3640*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a*b^10*c^7*d*abs(b) - 5340*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^2*b^9*c^6*d^2*abs(b) - 44280*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^3*b^8*c^5*d^3*abs(b) - 70230*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^4*b^7*c^4*d^4*abs(b) - 44280*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^5*b^6*c^3*d^5*abs(b) - 5340*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^6*b^5*c^2*d^6*abs(b) + 3640*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^18*a^7*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))^18*a^8*b^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))^20*b^9*c^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))^20*a*b^8*c^6*d*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))^20*a^2*b^7*c^5*d^2*abs(b) + 14535*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^20*a^3*b^6*c^4*d^3*abs(b) + 14535*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^20*a^4*b^5*c^3*d^4*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))^20*a^5*b^4*c^2*d^5*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))^20*a^6*b^3*c*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))^20*a^7*b^2*d^7*abs(b) - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*b^7*c^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))^22*a*b^6*c^5*d*abs(b) - 225*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a^2*b^5*c^4*d^2*abs(b) - 2772*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a^3*b^4*c^3*d^3*abs(b) - 225*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a^4*b^3*c^2*d^4*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))^22*a^5*b^2*c*d^5*abs(b) - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^22*a^6*b*d^6*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^6*a^3*c^3))/b","B",0
674,1,382,0,1.316502," ","integrate(x^2*(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} {\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^{3} d} - \frac{9 \, b^{7} c d^{7} + 11 \, a b^{6} d^{8}}{b^{9} d^{9}}\right)} + \frac{63 \, b^{8} c^{2} d^{6} + 14 \, a b^{7} c d^{7} + 3 \, a^{2} b^{6} d^{8}}{b^{9} d^{9}}\right)} - \frac{5 \, {\left(63 \, b^{9} c^{3} d^{5} - 49 \, a b^{8} c^{2} d^{6} - 11 \, a^{2} b^{7} c d^{7} - 3 \, a^{3} b^{6} d^{8}\right)}}{b^{9} d^{9}}\right)} {\left(b x + a\right)} + \frac{15 \, {\left(63 \, b^{10} c^{4} d^{4} - 112 \, a b^{9} c^{3} d^{5} + 38 \, a^{2} b^{8} c^{2} d^{6} + 8 \, a^{3} b^{7} c d^{7} + 3 \, a^{4} b^{6} d^{8}\right)}}{b^{9} d^{9}}\right)} \sqrt{b x + a} + \frac{15 \, {\left(63 \, b^{5} c^{5} - 175 \, a b^{4} c^{4} d + 150 \, a^{2} b^{3} c^{3} d^{2} - 30 \, a^{3} b^{2} c^{2} d^{3} - 5 \, a^{4} b c d^{4} - 3 \, 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^{2} d^{5}}\right)} b}{1920 \, {\left| b \right|}}"," ",0,"1/1920*(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^3*d) - (9*b^7*c*d^7 + 11*a*b^6*d^8)/(b^9*d^9)) + (63*b^8*c^2*d^6 + 14*a*b^7*c*d^7 + 3*a^2*b^6*d^8)/(b^9*d^9)) - 5*(63*b^9*c^3*d^5 - 49*a*b^8*c^2*d^6 - 11*a^2*b^7*c*d^7 - 3*a^3*b^6*d^8)/(b^9*d^9))*(b*x + a) + 15*(63*b^10*c^4*d^4 - 112*a*b^9*c^3*d^5 + 38*a^2*b^8*c^2*d^6 + 8*a^3*b^7*c*d^7 + 3*a^4*b^6*d^8)/(b^9*d^9))*sqrt(b*x + a) + 15*(63*b^5*c^5 - 175*a*b^4*c^4*d + 150*a^2*b^3*c^3*d^2 - 30*a^3*b^2*c^2*d^3 - 5*a^4*b*c*d^4 - 3*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^2*d^5))*b/abs(b)","A",0
675,1,290,0,1.160936," ","integrate(x*(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} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{b^{2} d} - \frac{7 \, b^{3} c d^{5} + a b^{2} d^{6}}{b^{4} d^{7}}\right)} + \frac{5 \, {\left(7 \, b^{4} c^{2} d^{4} - 6 \, a b^{3} c d^{5} - a^{2} b^{2} d^{6}\right)}}{b^{4} d^{7}}\right)} - \frac{15 \, {\left(7 \, b^{5} c^{3} d^{3} - 13 \, a b^{4} c^{2} d^{4} + 5 \, a^{2} b^{3} c d^{5} + a^{3} b^{2} d^{6}\right)}}{b^{4} d^{7}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(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}\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^{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^2*d) - (7*b^3*c*d^5 + a*b^2*d^6)/(b^4*d^7)) + 5*(7*b^4*c^2*d^4 - 6*a*b^3*c*d^5 - a^2*b^2*d^6)/(b^4*d^7)) - 15*(7*b^5*c^3*d^3 - 13*a*b^4*c^2*d^4 + 5*a^2*b^3*c*d^5 + a^3*b^2*d^6)/(b^4*d^7))*sqrt(b*x + a) - 15*(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)*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^4))*b/abs(b)","A",0
676,1,198,0,1.063307," ","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
677,-2,0,0,0.000000," ","integrate((b*x+a)^(5/2)/x/(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
678,1,526,0,2.511139," ","integrate((b*x+a)^(5/2)/x^2/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{b {\left(\frac{2 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} b}{d} + \frac{{\left(\sqrt{b d} b^{2} c - 5 \, \sqrt{b d} 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)}^{2}\right)}{d^{2}} - \frac{2 \, {\left(5 \, \sqrt{b d} a^{2} b^{2} c - \sqrt{b d} a^{3} b d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c} - \frac{4 \, {\left(\sqrt{b d} a^{2} b^{4} c^{2} - 2 \, \sqrt{b d} a^{3} b^{3} c d + \sqrt{b d} a^{4} b^{2} d^{2} - \sqrt{b 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 - \sqrt{b 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\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} c}\right)}}{2 \, {\left| b \right|}}"," ",0,"1/2*b*(2*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*b/d + (sqrt(b*d)*b^2*c - 5*sqrt(b*d)*a*b*d)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/d^2 - 2*(5*sqrt(b*d)*a^2*b^2*c - sqrt(b*d)*a^3*b*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c) - 4*(sqrt(b*d)*a^2*b^4*c^2 - 2*sqrt(b*d)*a^3*b^3*c*d + sqrt(b*d)*a^4*b^2*d^2 - 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 - 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)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*c))/abs(b)","B",0
679,1,1107,0,11.001527," ","integrate((b*x+a)^(5/2)/x^3/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{{\left(\frac{4 \, \sqrt{b d} 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)}^{2}\right)}{d} + \frac{{\left(15 \, \sqrt{b d} a b^{3} c^{2} - 10 \, \sqrt{b d} a^{2} b^{2} c d + 3 \, \sqrt{b d} a^{3} b d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c^{2}} + \frac{2 \, {\left(9 \, \sqrt{b d} a b^{9} c^{5} - 39 \, \sqrt{b d} a^{2} b^{8} c^{4} d + 66 \, \sqrt{b d} a^{3} b^{7} c^{3} d^{2} - 54 \, \sqrt{b d} a^{4} b^{6} c^{2} d^{3} + 21 \, \sqrt{b d} a^{5} b^{5} c d^{4} - 3 \, \sqrt{b d} a^{6} b^{4} d^{5} - 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)}^{2} a b^{7} c^{4} + 40 \, \sqrt{b 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^{3} d + 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^{3} b^{5} c^{2} d^{2} - 32 \, \sqrt{b 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} c 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} a^{5} b^{3} d^{4} + 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 b^{5} c^{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)}^{4} a^{2} b^{4} c^{2} d + 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^{3} b^{3} c d^{2} - 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^{4} b^{2} 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)}^{6} a b^{3} c^{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)}^{6} a^{2} b^{2} c d + 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)}^{6} a^{3} b d^{2}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} c^{2}}\right)} b}{4 \, {\left| b \right|}}"," ",0,"-1/4*(4*sqrt(b*d)*b^2*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/d + (15*sqrt(b*d)*a*b^3*c^2 - 10*sqrt(b*d)*a^2*b^2*c*d + 3*sqrt(b*d)*a^3*b*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^2) + 2*(9*sqrt(b*d)*a*b^9*c^5 - 39*sqrt(b*d)*a^2*b^8*c^4*d + 66*sqrt(b*d)*a^3*b^7*c^3*d^2 - 54*sqrt(b*d)*a^4*b^6*c^2*d^3 + 21*sqrt(b*d)*a^5*b^5*c*d^4 - 3*sqrt(b*d)*a^6*b^4*d^5 - 27*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^4 + 40*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^3*d + 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^3*b^5*c^2*d^2 - 32*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*c*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*a^5*b^3*d^4 + 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*b^5*c^3 + 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*b^4*c^2*d + 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^3*b^3*c*d^2 - 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^4*b^2*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))^6*a*b^3*c^2 - 10*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*c*d + 3*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*d^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*c^2))*b/abs(b)","B",0
680,1,2071,0,29.809529," ","integrate((b*x+a)^(5/2)/x^4/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{b {\left(\frac{15 \, {\left(\sqrt{b d} b^{4} c^{3} - 3 \, \sqrt{b d} a b^{3} c^{2} d + 3 \, \sqrt{b d} a^{2} b^{2} c d^{2} - \sqrt{b d} a^{3} b d^{3}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c^{3}} + \frac{2 \, {\left(33 \, \sqrt{b d} b^{14} c^{8} - 238 \, \sqrt{b d} a b^{13} c^{7} d + 750 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} - 1350 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} + 1520 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} - 1098 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} + 498 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} - 130 \, \sqrt{b d} a^{7} b^{7} c d^{7} + 15 \, \sqrt{b d} a^{8} b^{6} d^{8} - 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} b^{12} c^{7} + 747 \, \sqrt{b 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^{6} d - 1233 \, \sqrt{b 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^{5} d^{2} + 687 \, \sqrt{b 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^{4} d^{3} + 417 \, \sqrt{b 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^{3} d^{4} - 783 \, \sqrt{b 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^{2} d^{5} + 405 \, \sqrt{b 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} c d^{6} - 75 \, \sqrt{b 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^{5} d^{7} + 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} b^{10} c^{6} - 768 \, \sqrt{b 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^{5} d + 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^{2} b^{8} c^{4} d^{2} - 288 \, \sqrt{b 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^{3} d^{3} + 510 \, \sqrt{b 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^{2} d^{4} - 480 \, \sqrt{b 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} c d^{5} + 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)}^{4} a^{6} b^{4} 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)}^{6} b^{8} c^{5} + 202 \, \sqrt{b 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^{4} d - 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)}^{6} a^{2} b^{6} c^{3} d^{2} - 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^{3} b^{5} c^{2} d^{3} + 310 \, \sqrt{b 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} c d^{4} - 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)}^{6} a^{5} b^{3} d^{5} + 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)}^{8} b^{6} c^{4} + 102 \, \sqrt{b 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^{3} d - 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)}^{8} a^{3} b^{3} c d^{3} + 75 \, \sqrt{b 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^{2} d^{4} - 33 \, \sqrt{b 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^{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)}^{10} a b^{3} c^{2} d + 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)}^{10} a^{2} b^{2} c d^{2} - 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)}^{10} a^{3} b d^{3}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} c^{3}}\right)}}{24 \, {\left| b \right|}}"," ",0,"-1/24*b*(15*(sqrt(b*d)*b^4*c^3 - 3*sqrt(b*d)*a*b^3*c^2*d + 3*sqrt(b*d)*a^2*b^2*c*d^2 - sqrt(b*d)*a^3*b*d^3)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^3) + 2*(33*sqrt(b*d)*b^14*c^8 - 238*sqrt(b*d)*a*b^13*c^7*d + 750*sqrt(b*d)*a^2*b^12*c^6*d^2 - 1350*sqrt(b*d)*a^3*b^11*c^5*d^3 + 1520*sqrt(b*d)*a^4*b^10*c^4*d^4 - 1098*sqrt(b*d)*a^5*b^9*c^3*d^5 + 498*sqrt(b*d)*a^6*b^8*c^2*d^6 - 130*sqrt(b*d)*a^7*b^7*c*d^7 + 15*sqrt(b*d)*a^8*b^6*d^8 - 165*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^7 + 747*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^6*d - 1233*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^5*d^2 + 687*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^4*d^3 + 417*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^3*d^4 - 783*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^2*d^5 + 405*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*c*d^6 - 75*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^5*d^7 + 330*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^6 - 768*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^5*d + 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^2*b^8*c^4*d^2 - 288*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^3*d^3 + 510*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^2*d^4 - 480*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*c*d^5 + 150*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^4*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))^6*b^8*c^5 + 202*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^4*d - 108*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^3*d^2 - 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^3*b^5*c^2*d^3 + 310*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*c*d^4 - 150*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^3*d^5 + 165*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^4 + 102*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^3*d - 150*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*c*d^3 + 75*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^2*d^4 - 33*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^3 - 45*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^2*d + 45*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*c*d^2 - 15*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*d^3)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*c^3))/abs(b)","B",0
681,1,3689,0,11.221552," ","integrate((b*x+a)^(5/2)/x^5/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{b {\left(\frac{15 \, {\left(\sqrt{b d} b^{5} c^{4} + 4 \, \sqrt{b d} a b^{4} c^{3} d - 18 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} + 20 \, \sqrt{b d} a^{3} b^{2} c d^{3} - 7 \, \sqrt{b d} a^{4} b d^{4}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b c^{4}} - \frac{2 \, {\left(15 \, \sqrt{b d} b^{19} c^{11} - 311 \, \sqrt{b d} a b^{18} c^{10} d + 2213 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} - 8413 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} + 20006 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} - 31990 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} + 35546 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} - 27658 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} + 14843 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} - 5251 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} + 1105 \, \sqrt{b d} a^{10} b^{9} c d^{10} - 105 \, \sqrt{b d} a^{11} b^{8} d^{11} - 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)}^{2} b^{17} c^{10} + 2098 \, \sqrt{b 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^{16} c^{9} d - 11245 \, \sqrt{b 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^{15} c^{8} d^{2} + 28312 \, \sqrt{b 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^{14} c^{7} d^{3} - 37250 \, \sqrt{b 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^{13} c^{6} d^{4} + 20780 \, \sqrt{b 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^{12} c^{5} d^{5} + 8782 \, \sqrt{b 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^{11} c^{4} d^{6} - 22760 \, \sqrt{b 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^{10} c^{3} d^{7} + 16043 \, \sqrt{b 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^{9} c^{2} d^{8} - 5390 \, \sqrt{b 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^{9} b^{8} c d^{9} + 735 \, \sqrt{b 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^{10} b^{7} d^{10} + 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)}^{4} b^{15} c^{9} - 5765 \, \sqrt{b 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^{14} c^{8} d + 21580 \, \sqrt{b 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^{13} c^{7} d^{2} - 32868 \, \sqrt{b 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^{12} c^{6} d^{3} + 21802 \, \sqrt{b 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^{11} c^{5} d^{4} - 8198 \, \sqrt{b 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^{10} c^{4} d^{5} + 13212 \, \sqrt{b 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^{9} c^{3} d^{6} - 18548 \, \sqrt{b 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^{8} c^{2} d^{7} + 10675 \, \sqrt{b 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^{8} b^{7} c d^{8} - 2205 \, \sqrt{b 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^{9} b^{6} d^{9} - 525 \, \sqrt{b 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^{13} c^{8} + 8240 \, \sqrt{b 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^{12} c^{7} d - 18740 \, \sqrt{b 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^{11} c^{6} d^{2} + 14752 \, \sqrt{b 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^{10} c^{5} d^{3} - 4118 \, \sqrt{b 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^{9} c^{4} d^{4} - 2960 \, \sqrt{b 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^{8} c^{3} d^{5} + 10876 \, \sqrt{b 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^{7} c^{2} d^{6} - 11200 \, \sqrt{b 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^{7} b^{6} c d^{7} + 3675 \, \sqrt{b 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^{8} b^{5} d^{8} + 525 \, \sqrt{b 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^{11} c^{7} - 6385 \, \sqrt{b 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^{10} c^{6} d + 5725 \, \sqrt{b 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^{9} c^{5} d^{2} - 1513 \, \sqrt{b 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^{8} c^{4} d^{3} - 625 \, \sqrt{b 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^{7} c^{3} d^{4} - 3275 \, \sqrt{b 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^{6} c^{2} d^{5} + 7175 \, \sqrt{b 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^{6} b^{5} c d^{6} - 3675 \, \sqrt{b 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^{7} b^{4} d^{7} - 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^{9} c^{6} + 2426 \, \sqrt{b 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^{8} c^{5} d + 1667 \, \sqrt{b 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^{7} c^{4} d^{2} - 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)}^{10} a^{3} b^{6} c^{3} d^{3} - 325 \, \sqrt{b 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^{5} c^{2} d^{4} - 3430 \, \sqrt{b 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^{5} b^{4} c d^{5} + 2205 \, \sqrt{b 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^{6} b^{3} d^{6} + 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^{7} c^{5} - 243 \, \sqrt{b 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^{6} c^{4} d - 1470 \, \sqrt{b 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^{5} c^{3} d^{2} + 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} a^{3} b^{4} c^{2} d^{3} + 1365 \, \sqrt{b 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^{4} b^{3} c d^{4} - 735 \, \sqrt{b 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^{5} b^{2} d^{5} - 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)}^{14} b^{5} c^{4} - 60 \, \sqrt{b 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^{4} c^{3} d + 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)}^{14} a^{2} b^{3} c^{2} d^{2} - 300 \, \sqrt{b 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^{3} b^{2} c d^{3} + 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)}^{14} a^{4} b d^{4}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a c^{4}}\right)}}{192 \, {\left| b \right|}}"," ",0,"1/192*b*(15*(sqrt(b*d)*b^5*c^4 + 4*sqrt(b*d)*a*b^4*c^3*d - 18*sqrt(b*d)*a^2*b^3*c^2*d^2 + 20*sqrt(b*d)*a^3*b^2*c*d^3 - 7*sqrt(b*d)*a^4*b*d^4)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^4) - 2*(15*sqrt(b*d)*b^19*c^11 - 311*sqrt(b*d)*a*b^18*c^10*d + 2213*sqrt(b*d)*a^2*b^17*c^9*d^2 - 8413*sqrt(b*d)*a^3*b^16*c^8*d^3 + 20006*sqrt(b*d)*a^4*b^15*c^7*d^4 - 31990*sqrt(b*d)*a^5*b^14*c^6*d^5 + 35546*sqrt(b*d)*a^6*b^13*c^5*d^6 - 27658*sqrt(b*d)*a^7*b^12*c^4*d^7 + 14843*sqrt(b*d)*a^8*b^11*c^3*d^8 - 5251*sqrt(b*d)*a^9*b^10*c^2*d^9 + 1105*sqrt(b*d)*a^10*b^9*c*d^10 - 105*sqrt(b*d)*a^11*b^8*d^11 - 105*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^17*c^10 + 2098*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^16*c^9*d - 11245*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^15*c^8*d^2 + 28312*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^14*c^7*d^3 - 37250*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^13*c^6*d^4 + 20780*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^12*c^5*d^5 + 8782*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^11*c^4*d^6 - 22760*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^10*c^3*d^7 + 16043*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^9*c^2*d^8 - 5390*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9 + 735*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^10*b^7*d^10 + 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^15*c^9 - 5765*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^14*c^8*d + 21580*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^13*c^7*d^2 - 32868*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^12*c^6*d^3 + 21802*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^11*c^5*d^4 - 8198*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^10*c^4*d^5 + 13212*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^9*c^3*d^6 - 18548*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^8*c^2*d^7 + 10675*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*d^8 - 2205*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^9*b^6*d^9 - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^13*c^8 + 8240*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^12*c^7*d - 18740*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^11*c^6*d^2 + 14752*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^10*c^5*d^3 - 4118*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^9*c^4*d^4 - 2960*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^8*c^3*d^5 + 10876*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^7*c^2*d^6 - 11200*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*d^7 + 3675*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^5*d^8 + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^11*c^7 - 6385*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^10*c^6*d + 5725*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^9*c^5*d^2 - 1513*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^8*c^4*d^3 - 625*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^7*c^3*d^4 - 3275*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^6*c^2*d^5 + 7175*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^5*c*d^6 - 3675*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^4*d^7 - 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^9*c^6 + 2426*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^8*c^5*d + 1667*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^7*c^4*d^2 - 180*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^6*c^3*d^3 - 325*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^5*c^2*d^4 - 3430*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*c*d^5 + 2205*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^6*b^3*d^6 + 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^7*c^5 - 243*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^6*c^4*d - 1470*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^5*c^3*d^2 + 210*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^4*c^2*d^3 + 1365*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^3*c*d^4 - 735*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^5*b^2*d^5 - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^5*c^4 - 60*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^4*c^3*d + 270*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^3*c^2*d^2 - 300*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^2*c*d^3 + 105*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b*d^4)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a*c^4))/abs(b)","B",0
682,1,378,0,1.443918," ","integrate(x^2*(b*x+a)^(5/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{{\left({\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)}}{d {\left| b \right|}} - \frac{9 \, b^{3} c d^{7} + 7 \, a b^{2} d^{8}}{b^{2} d^{9} {\left| b \right|}}\right)} + \frac{63 \, b^{4} c^{2} d^{6} - 14 \, a b^{3} c d^{7} - a^{2} b^{2} d^{8}}{b^{2} d^{9} {\left| b \right|}}\right)} - \frac{5 \, {\left(63 \, b^{5} c^{3} d^{5} - 77 \, a b^{4} c^{2} d^{6} + 13 \, a^{2} b^{3} c d^{7} + a^{3} b^{2} d^{8}\right)}}{b^{2} d^{9} {\left| b \right|}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(63 \, b^{6} c^{4} d^{4} - 140 \, a b^{5} c^{3} d^{5} + 90 \, a^{2} b^{4} c^{2} d^{6} - 12 \, a^{3} b^{3} c d^{7} - a^{4} b^{2} d^{8}\right)}}{b^{2} d^{9} {\left| b \right|}}\right)} \sqrt{b x + a}}{192 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{5 \, {\left(63 \, b^{4} c^{4} - 140 \, a b^{3} c^{3} d + 90 \, a^{2} b^{2} c^{2} d^{2} - 12 \, 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)}{64 \, \sqrt{b d} d^{5} {\left| b \right|}}"," ",0,"1/192*((2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/(d*abs(b)) - (9*b^3*c*d^7 + 7*a*b^2*d^8)/(b^2*d^9*abs(b))) + (63*b^4*c^2*d^6 - 14*a*b^3*c*d^7 - a^2*b^2*d^8)/(b^2*d^9*abs(b))) - 5*(63*b^5*c^3*d^5 - 77*a*b^4*c^2*d^6 + 13*a^2*b^3*c*d^7 + a^3*b^2*d^8)/(b^2*d^9*abs(b)))*(b*x + a) - 15*(63*b^6*c^4*d^4 - 140*a*b^5*c^3*d^5 + 90*a^2*b^4*c^2*d^6 - 12*a^3*b^3*c*d^7 - a^4*b^2*d^8)/(b^2*d^9*abs(b)))*sqrt(b*x + a)/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) - 5/64*(63*b^4*c^4 - 140*a*b^3*c^3*d + 90*a^2*b^2*c^2*d^2 - 12*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^5*abs(b))","A",0
683,1,292,0,1.483506," ","integrate(x*(b*x+a)^(5/2)/(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)} {\left| b \right|}}{b d} - \frac{7 \, b^{2} c d^{5} {\left| b \right|} - a b d^{6} {\left| b \right|}}{b^{2} d^{7}}\right)} + \frac{5 \, {\left(7 \, b^{3} c^{2} d^{4} {\left| b \right|} - 8 \, a b^{2} c d^{5} {\left| b \right|} + a^{2} b d^{6} {\left| b \right|}\right)}}{b^{2} d^{7}}\right)} + \frac{15 \, {\left(7 \, b^{4} c^{3} d^{3} {\left| b \right|} - 15 \, a b^{3} c^{2} d^{4} {\left| b \right|} + 9 \, a^{2} b^{2} c d^{5} {\left| b \right|} - a^{3} b d^{6} {\left| b \right|}\right)}}{b^{2} d^{7}}\right)} \sqrt{b x + a}}{24 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} + \frac{5 \, {\left(7 \, b^{3} c^{3} {\left| b \right|} - 15 \, a b^{2} c^{2} d {\left| b \right|} + 9 \, a^{2} b c d^{2} {\left| b \right|} - a^{3} d^{3} {\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|}\right)}{8 \, \sqrt{b d} b d^{4}}"," ",0,"1/24*((b*x + a)*(2*(b*x + a)*(4*(b*x + a)*abs(b)/(b*d) - (7*b^2*c*d^5*abs(b) - a*b*d^6*abs(b))/(b^2*d^7)) + 5*(7*b^3*c^2*d^4*abs(b) - 8*a*b^2*c*d^5*abs(b) + a^2*b*d^6*abs(b))/(b^2*d^7)) + 15*(7*b^4*c^3*d^3*abs(b) - 15*a*b^3*c^2*d^4*abs(b) + 9*a^2*b^2*c*d^5*abs(b) - a^3*b*d^6*abs(b))/(b^2*d^7))*sqrt(b*x + a)/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) + 5/8*(7*b^3*c^3*abs(b) - 15*a*b^2*c^2*d*abs(b) + 9*a^2*b*c*d^2*abs(b) - a^3*d^3*abs(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)*b*d^4)","A",0
684,1,201,0,1.381806," ","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
685,1,256,0,1.679035," ","integrate((b*x+a)^(5/2)/x/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b d} a^{3} b \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} c {\left| b \right|}} + \frac{\sqrt{b x + a} {\left(\frac{{\left(b x + a\right)} b^{3}}{d {\left| b \right|}} + \frac{3 \, b^{6} c^{2} d - 5 \, a b^{5} c d^{2} + 2 \, a^{2} b^{4} d^{3}}{b^{2} c d^{3} {\left| b \right|}}\right)}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} + \frac{{\left(3 \, \sqrt{b d} b^{3} c - 5 \, \sqrt{b d} 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)}^{2}\right)}{2 \, d^{3} {\left| b \right|}}"," ",0,"-2*sqrt(b*d)*a^3*b*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*c*abs(b)) + sqrt(b*x + a)*((b*x + a)*b^3/(d*abs(b)) + (3*b^6*c^2*d - 5*a*b^5*c*d^2 + 2*a^2*b^4*d^3)/(b^2*c*d^3*abs(b)))/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) + 1/2*(3*sqrt(b*d)*b^3*c - 5*sqrt(b*d)*a*b^2*d)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(d^3*abs(b))","A",0
686,1,560,0,5.901842," ","integrate((b*x+a)^(5/2)/x^2/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{b d} 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)}^{2}\right)}{d^{2} {\left| b \right|}} - \frac{{\left(5 \, \sqrt{b d} a^{2} b^{3} c - 3 \, \sqrt{b d} a^{3} b^{2} d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c^{2} {\left| b \right|}} - \frac{2 \, {\left(\sqrt{b d} a^{2} b^{5} c^{2} - 2 \, \sqrt{b d} a^{3} b^{4} c d + \sqrt{b d} a^{4} b^{3} d^{2} - \sqrt{b 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} c - \sqrt{b 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^{2} d\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} c^{2} {\left| b \right|}} - \frac{2 \, {\left(b^{4} c^{2} {\left| b \right|} - 2 \, a b^{3} c d {\left| b \right|} + a^{2} b^{2} d^{2} {\left| b \right|}\right)} \sqrt{b x + a}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} b^{2} c^{2} d}"," ",0,"-sqrt(b*d)*b^3*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(d^2*abs(b)) - (5*sqrt(b*d)*a^2*b^3*c - 3*sqrt(b*d)*a^3*b^2*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^2*abs(b)) - 2*(sqrt(b*d)*a^2*b^5*c^2 - 2*sqrt(b*d)*a^3*b^4*c*d + sqrt(b*d)*a^4*b^3*d^2 - 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*c - 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^2*d)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*c^2*abs(b)) - 2*(b^4*c^2*abs(b) - 2*a*b^3*c*d*abs(b) + a^2*b^2*d^2*abs(b))*sqrt(b*x + a)/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*b^2*c^2*d)","B",0
687,1,1121,0,15.394422," ","integrate((b*x+a)^(5/2)/x^3/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} \sqrt{b x + a}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} c^{3} {\left| b \right|}} - \frac{15 \, {\left(\sqrt{b d} a b^{4} c^{2} - 2 \, \sqrt{b d} a^{2} b^{3} c d + \sqrt{b d} a^{3} b^{2} d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} b c^{3} {\left| b \right|}} - \frac{9 \, \sqrt{b d} a b^{10} c^{5} - 43 \, \sqrt{b d} a^{2} b^{9} c^{4} d + 82 \, \sqrt{b d} a^{3} b^{8} c^{3} d^{2} - 78 \, \sqrt{b d} a^{4} b^{7} c^{2} d^{3} + 37 \, \sqrt{b d} a^{5} b^{6} c d^{4} - 7 \, \sqrt{b d} a^{6} b^{5} d^{5} - 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)}^{2} a b^{8} c^{4} + 52 \, \sqrt{b 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^{3} d - 2 \, \sqrt{b 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} c^{2} d^{2} - 44 \, \sqrt{b 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^{5} c 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^{5} b^{4} d^{4} + 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 b^{6} c^{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} a^{2} b^{5} c^{2} d + 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)}^{4} a^{3} b^{4} c d^{2} - 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^{3} 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)}^{6} a b^{4} c^{2} - 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)}^{6} a^{2} b^{3} c d + 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)}^{6} a^{3} b^{2} d^{2}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} c^{3} {\left| b \right|}}"," ",0,"2*(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*sqrt(b*x + a)/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*c^3*abs(b)) - 15/4*(sqrt(b*d)*a*b^4*c^2 - 2*sqrt(b*d)*a^2*b^3*c*d + sqrt(b*d)*a^3*b^2*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^3*abs(b)) - 1/2*(9*sqrt(b*d)*a*b^10*c^5 - 43*sqrt(b*d)*a^2*b^9*c^4*d + 82*sqrt(b*d)*a^3*b^8*c^3*d^2 - 78*sqrt(b*d)*a^4*b^7*c^2*d^3 + 37*sqrt(b*d)*a^5*b^6*c*d^4 - 7*sqrt(b*d)*a^6*b^5*d^5 - 27*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^4 + 52*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^3*d - 2*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*c^2*d^2 - 44*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^5*c*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^5*b^4*d^4 + 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*b^6*c^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*a^2*b^5*c^2*d + 13*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^4*c*d^2 - 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^3*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))^6*a*b^4*c^2 - 6*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^3*c*d + 7*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^2*d^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*c^3*abs(b))","B",0
688,1,2200,0,65.961580," ","integrate((b*x+a)^(5/2)/x^4/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}\right)} \sqrt{b x + a}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} c^{4} {\left| b \right|}} - \frac{5 \, {\left(\sqrt{b d} b^{5} c^{3} - 9 \, \sqrt{b d} a b^{4} c^{2} d + 15 \, \sqrt{b d} a^{2} b^{3} c d^{2} - 7 \, \sqrt{b d} a^{3} b^{2} d^{3}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{8 \, \sqrt{-a b c d} b c^{4} {\left| b \right|}} - \frac{33 \, \sqrt{b d} b^{15} c^{8} - 292 \, \sqrt{b d} a b^{14} c^{7} d + 1116 \, \sqrt{b d} a^{2} b^{13} c^{6} d^{2} - 2412 \, \sqrt{b d} a^{3} b^{12} c^{5} d^{3} + 3230 \, \sqrt{b d} a^{4} b^{11} c^{4} d^{4} - 2748 \, \sqrt{b d} a^{5} b^{10} c^{3} d^{5} + 1452 \, \sqrt{b d} a^{6} b^{9} c^{2} d^{6} - 436 \, \sqrt{b d} a^{7} b^{8} c d^{7} + 57 \, \sqrt{b d} a^{8} b^{7} d^{8} - 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} b^{13} c^{7} + 1017 \, \sqrt{b 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^{6} d - 2277 \, \sqrt{b 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^{5} d^{2} + 1953 \, \sqrt{b 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^{4} d^{3} + 393 \, \sqrt{b 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^{3} d^{4} - 1917 \, \sqrt{b 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} c^{2} d^{5} + 1281 \, \sqrt{b 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^{7} c d^{6} - 285 \, \sqrt{b 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^{6} d^{7} + 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} b^{11} c^{6} - 1308 \, \sqrt{b 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^{5} d + 1446 \, \sqrt{b 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^{4} d^{2} - 456 \, \sqrt{b 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^{3} d^{3} + 726 \, \sqrt{b 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} c^{2} d^{4} - 1308 \, \sqrt{b 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^{6} c d^{5} + 570 \, \sqrt{b 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^{5} 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)}^{6} b^{9} c^{5} + 742 \, \sqrt{b 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^{4} d - 204 \, \sqrt{b 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^{3} d^{2} - 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)}^{6} a^{3} b^{6} c^{2} d^{3} + 598 \, \sqrt{b 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^{5} c d^{4} - 570 \, \sqrt{b 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^{4} d^{5} + 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)}^{8} b^{7} c^{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)}^{8} a b^{6} c^{3} d - 162 \, \sqrt{b 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} c^{2} d^{2} - 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)}^{8} a^{3} b^{4} c d^{3} + 285 \, \sqrt{b 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^{3} d^{4} - 33 \, \sqrt{b 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^{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)}^{10} a b^{4} c^{2} d + 81 \, \sqrt{b 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^{3} c d^{2} - 57 \, \sqrt{b 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^{2} d^{3}}{12 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} c^{4} {\left| b \right|}}"," ",0,"-2*(b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3)*sqrt(b*x + a)/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*c^4*abs(b)) - 5/8*(sqrt(b*d)*b^5*c^3 - 9*sqrt(b*d)*a*b^4*c^2*d + 15*sqrt(b*d)*a^2*b^3*c*d^2 - 7*sqrt(b*d)*a^3*b^2*d^3)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^4*abs(b)) - 1/12*(33*sqrt(b*d)*b^15*c^8 - 292*sqrt(b*d)*a*b^14*c^7*d + 1116*sqrt(b*d)*a^2*b^13*c^6*d^2 - 2412*sqrt(b*d)*a^3*b^12*c^5*d^3 + 3230*sqrt(b*d)*a^4*b^11*c^4*d^4 - 2748*sqrt(b*d)*a^5*b^10*c^3*d^5 + 1452*sqrt(b*d)*a^6*b^9*c^2*d^6 - 436*sqrt(b*d)*a^7*b^8*c*d^7 + 57*sqrt(b*d)*a^8*b^7*d^8 - 165*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^7 + 1017*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^6*d - 2277*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^5*d^2 + 1953*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^4*d^3 + 393*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^3*d^4 - 1917*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*c^2*d^5 + 1281*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^7*c*d^6 - 285*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^6*d^7 + 330*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^6 - 1308*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^5*d + 1446*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^4*d^2 - 456*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^3*d^3 + 726*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*c^2*d^4 - 1308*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^6*c*d^5 + 570*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^5*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))^6*b^9*c^5 + 742*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^4*d - 204*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^3*d^2 - 108*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*c^2*d^3 + 598*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^5*c*d^4 - 570*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^4*d^5 + 165*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^4 - 168*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^3*d - 162*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*c^2*d^2 - 216*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^4*c*d^3 + 285*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^3*d^4 - 33*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^3 + 9*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*c^2*d + 81*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^3*c*d^2 - 57*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^2*d^3)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*c^4*abs(b))","B",0
689,1,3762,0,171.590396," ","integrate((b*x+a)^(5/2)/x^5/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(b^{4} c^{2} d^{2} - 2 \, a b^{3} c d^{3} + a^{2} b^{2} d^{4}\right)} \sqrt{b x + a}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} c^{5} {\left| b \right|}} + \frac{5 \, {\left(\sqrt{b d} b^{6} c^{4} + 12 \, \sqrt{b d} a b^{5} c^{3} d - 90 \, \sqrt{b d} a^{2} b^{4} c^{2} d^{2} + 140 \, \sqrt{b d} a^{3} b^{3} c d^{3} - 63 \, \sqrt{b d} a^{4} b^{2} d^{4}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{64 \, \sqrt{-a b c d} a b c^{5} {\left| b \right|}} - \frac{15 \, \sqrt{b d} b^{20} c^{11} - 575 \, \sqrt{b d} a b^{19} c^{10} d + 5077 \, \sqrt{b d} a^{2} b^{18} c^{9} d^{2} - 22277 \, \sqrt{b d} a^{3} b^{17} c^{8} d^{3} + 59494 \, \sqrt{b d} a^{4} b^{16} c^{7} d^{4} - 105350 \, \sqrt{b d} a^{5} b^{15} c^{6} d^{5} + 128506 \, \sqrt{b d} a^{6} b^{14} c^{5} d^{6} - 109082 \, \sqrt{b d} a^{7} b^{13} c^{4} d^{7} + 63547 \, \sqrt{b d} a^{8} b^{12} c^{3} d^{8} - 24299 \, \sqrt{b d} a^{9} b^{11} c^{2} d^{9} + 5505 \, \sqrt{b d} a^{10} b^{10} c d^{10} - 561 \, \sqrt{b d} a^{11} b^{9} d^{11} - 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)}^{2} b^{18} c^{10} + 3946 \, \sqrt{b 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^{17} c^{9} d - 26165 \, \sqrt{b 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^{16} c^{8} d^{2} + 77304 \, \sqrt{b 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^{15} c^{7} d^{3} - 118178 \, \sqrt{b 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^{14} c^{6} d^{4} + 80188 \, \sqrt{b 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^{13} c^{5} d^{5} + 22494 \, \sqrt{b 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^{12} c^{4} d^{6} - 87560 \, \sqrt{b 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^{11} c^{3} d^{7} + 70411 \, \sqrt{b 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^{10} c^{2} d^{8} - 26262 \, \sqrt{b 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^{9} b^{9} c d^{9} + 3927 \, \sqrt{b 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^{10} b^{8} d^{10} + 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)}^{4} b^{16} c^{9} - 11309 \, \sqrt{b 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^{15} c^{8} d + 53292 \, \sqrt{b 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^{14} c^{7} d^{2} - 97092 \, \sqrt{b 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^{13} c^{6} d^{3} + 73162 \, \sqrt{b 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^{12} c^{5} d^{4} - 21174 \, \sqrt{b 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^{11} c^{4} d^{5} + 36540 \, \sqrt{b 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^{10} c^{3} d^{6} - 71636 \, \sqrt{b 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^{9} c^{2} d^{7} + 49683 \, \sqrt{b 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^{8} b^{8} c d^{8} - 11781 \, \sqrt{b 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^{9} b^{7} d^{9} - 525 \, \sqrt{b 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^{14} c^{8} + 17480 \, \sqrt{b 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^{13} c^{7} d - 53740 \, \sqrt{b 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^{12} c^{6} d^{2} + 51320 \, \sqrt{b 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^{11} c^{5} d^{3} - 12238 \, \sqrt{b 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^{10} c^{4} d^{4} - 6664 \, \sqrt{b 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^{9} c^{3} d^{5} + 31892 \, \sqrt{b 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^{8} c^{2} d^{6} - 47160 \, \sqrt{b 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^{7} b^{7} c d^{7} + 19635 \, \sqrt{b 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^{8} b^{6} d^{8} + 525 \, \sqrt{b 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^{12} c^{7} - 15625 \, \sqrt{b 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^{11} c^{6} d + 26765 \, \sqrt{b 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^{10} c^{5} d^{2} - 7185 \, \sqrt{b 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^{9} c^{4} d^{3} - 1489 \, \sqrt{b 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^{8} c^{3} d^{4} - 5683 \, \sqrt{b 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^{7} c^{2} d^{5} + 24375 \, \sqrt{b 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^{6} b^{6} c d^{6} - 19635 \, \sqrt{b 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^{7} b^{5} d^{7} - 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^{10} c^{6} + 7970 \, \sqrt{b 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^{9} c^{5} d - 4917 \, \sqrt{b 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^{8} c^{4} d^{2} - 4068 \, \sqrt{b 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^{7} c^{3} d^{3} - 3829 \, \sqrt{b 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^{6} c^{2} d^{4} - 8670 \, \sqrt{b 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^{5} b^{5} c d^{5} + 11781 \, \sqrt{b 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^{6} b^{4} d^{6} + 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^{8} c^{5} - 2091 \, \sqrt{b 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^{7} c^{4} d - 510 \, \sqrt{b 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^{6} c^{3} d^{2} + 2946 \, \sqrt{b 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^{5} c^{2} d^{3} + 3477 \, \sqrt{b 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^{4} b^{4} c d^{4} - 3927 \, \sqrt{b 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^{5} b^{3} d^{5} - 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)}^{14} b^{6} c^{4} + 204 \, \sqrt{b 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^{5} c^{3} d + 198 \, \sqrt{b 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^{4} c^{2} d^{2} - 948 \, \sqrt{b 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^{3} b^{3} c d^{3} + 561 \, \sqrt{b 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^{4} b^{2} d^{4}}{96 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a c^{5} {\left| b \right|}}"," ",0,"2*(b^4*c^2*d^2 - 2*a*b^3*c*d^3 + a^2*b^2*d^4)*sqrt(b*x + a)/(sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*c^5*abs(b)) + 5/64*(sqrt(b*d)*b^6*c^4 + 12*sqrt(b*d)*a*b^5*c^3*d - 90*sqrt(b*d)*a^2*b^4*c^2*d^2 + 140*sqrt(b*d)*a^3*b^3*c*d^3 - 63*sqrt(b*d)*a^4*b^2*d^4)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^5*abs(b)) - 1/96*(15*sqrt(b*d)*b^20*c^11 - 575*sqrt(b*d)*a*b^19*c^10*d + 5077*sqrt(b*d)*a^2*b^18*c^9*d^2 - 22277*sqrt(b*d)*a^3*b^17*c^8*d^3 + 59494*sqrt(b*d)*a^4*b^16*c^7*d^4 - 105350*sqrt(b*d)*a^5*b^15*c^6*d^5 + 128506*sqrt(b*d)*a^6*b^14*c^5*d^6 - 109082*sqrt(b*d)*a^7*b^13*c^4*d^7 + 63547*sqrt(b*d)*a^8*b^12*c^3*d^8 - 24299*sqrt(b*d)*a^9*b^11*c^2*d^9 + 5505*sqrt(b*d)*a^10*b^10*c*d^10 - 561*sqrt(b*d)*a^11*b^9*d^11 - 105*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^18*c^10 + 3946*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^17*c^9*d - 26165*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^16*c^8*d^2 + 77304*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^15*c^7*d^3 - 118178*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^14*c^6*d^4 + 80188*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^13*c^5*d^5 + 22494*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^12*c^4*d^6 - 87560*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^11*c^3*d^7 + 70411*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^10*c^2*d^8 - 26262*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^9*c*d^9 + 3927*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^10*b^8*d^10 + 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^16*c^9 - 11309*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^15*c^8*d + 53292*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^14*c^7*d^2 - 97092*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^13*c^6*d^3 + 73162*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^12*c^5*d^4 - 21174*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^11*c^4*d^5 + 36540*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^10*c^3*d^6 - 71636*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^9*c^2*d^7 + 49683*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^8*c*d^8 - 11781*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^9*b^7*d^9 - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^14*c^8 + 17480*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^13*c^7*d - 53740*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^12*c^6*d^2 + 51320*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^11*c^5*d^3 - 12238*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^10*c^4*d^4 - 6664*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^9*c^3*d^5 + 31892*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^8*c^2*d^6 - 47160*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^7*c*d^7 + 19635*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^6*d^8 + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^12*c^7 - 15625*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^11*c^6*d + 26765*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^10*c^5*d^2 - 7185*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^9*c^4*d^3 - 1489*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^8*c^3*d^4 - 5683*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^7*c^2*d^5 + 24375*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^6*c*d^6 - 19635*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^5*d^7 - 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^10*c^6 + 7970*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^9*c^5*d - 4917*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^8*c^4*d^2 - 4068*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^7*c^3*d^3 - 3829*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^6*c^2*d^4 - 8670*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^5*c*d^5 + 11781*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^6*b^4*d^6 + 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^8*c^5 - 2091*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^7*c^4*d - 510*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^6*c^3*d^2 + 2946*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^5*c^2*d^3 + 3477*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^4*c*d^4 - 3927*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^5*b^3*d^5 - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^6*c^4 + 204*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^5*c^3*d + 198*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^4*c^2*d^2 - 948*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^3*c*d^3 + 561*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b^2*d^4)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a*c^5*abs(b))","B",0
690,1,686,0,1.889138," ","integrate(x^3*(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{{\left({\left({\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b^{5} c d^{10} {\left| b \right|} - a b^{4} d^{11} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{6} c d^{11} - a b^{5} d^{12}} - \frac{11 \, b^{6} c^{2} d^{9} {\left| b \right|} + 2 \, a b^{5} c d^{10} {\left| b \right|} - 13 \, a^{2} b^{4} d^{11} {\left| b \right|}}{b^{6} c d^{11} - a b^{5} d^{12}}\right)} + \frac{9 \, {\left(11 \, b^{7} c^{3} d^{8} {\left| b \right|} - 9 \, a b^{6} c^{2} d^{9} {\left| b \right|} + a^{2} b^{5} c d^{10} {\left| b \right|} - 3 \, a^{3} b^{4} d^{11} {\left| b \right|}\right)}}{b^{6} c d^{11} - a b^{5} d^{12}}\right)} {\left(b x + a\right)} - \frac{3 \, {\left(231 \, b^{8} c^{4} d^{7} {\left| b \right|} - 420 \, a b^{7} c^{3} d^{8} {\left| b \right|} + 210 \, a^{2} b^{6} c^{2} d^{9} {\left| b \right|} - 20 \, a^{3} b^{5} c d^{10} {\left| b \right|} - a^{4} b^{4} d^{11} {\left| b \right|}\right)}}{b^{6} c d^{11} - a b^{5} d^{12}}\right)} {\left(b x + a\right)} - \frac{20 \, {\left(231 \, b^{9} c^{5} d^{6} {\left| b \right|} - 651 \, a b^{8} c^{4} d^{7} {\left| b \right|} + 630 \, a^{2} b^{7} c^{3} d^{8} {\left| b \right|} - 230 \, a^{3} b^{6} c^{2} d^{9} {\left| b \right|} + 19 \, a^{4} b^{5} c d^{10} {\left| b \right|} + a^{5} b^{4} d^{11} {\left| b \right|}\right)}}{b^{6} c d^{11} - a b^{5} d^{12}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(231 \, b^{10} c^{6} d^{5} {\left| b \right|} - 882 \, a b^{9} c^{5} d^{6} {\left| b \right|} + 1281 \, a^{2} b^{8} c^{4} d^{7} {\left| b \right|} - 860 \, a^{3} b^{7} c^{3} d^{8} {\left| b \right|} + 249 \, a^{4} b^{6} c^{2} d^{9} {\left| b \right|} - 18 \, a^{5} b^{5} c d^{10} {\left| b \right|} - a^{6} b^{4} d^{11} {\left| b \right|}\right)}}{b^{6} c d^{11} - a b^{5} d^{12}}\right)} \sqrt{b x + a}}{192 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{5 \, {\left(231 \, b^{4} c^{4} {\left| b \right|} - 420 \, a b^{3} c^{3} d {\left| b \right|} + 210 \, a^{2} b^{2} c^{2} d^{2} {\left| b \right|} - 20 \, a^{3} b c d^{3} {\left| b \right|} - a^{4} d^{4} {\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|}\right)}{64 \, \sqrt{b d} b^{2} d^{6}}"," ",0,"1/192*(((2*(4*(b*x + a)*(6*(b^5*c*d^10*abs(b) - a*b^4*d^11*abs(b))*(b*x + a)/(b^6*c*d^11 - a*b^5*d^12) - (11*b^6*c^2*d^9*abs(b) + 2*a*b^5*c*d^10*abs(b) - 13*a^2*b^4*d^11*abs(b))/(b^6*c*d^11 - a*b^5*d^12)) + 9*(11*b^7*c^3*d^8*abs(b) - 9*a*b^6*c^2*d^9*abs(b) + a^2*b^5*c*d^10*abs(b) - 3*a^3*b^4*d^11*abs(b))/(b^6*c*d^11 - a*b^5*d^12))*(b*x + a) - 3*(231*b^8*c^4*d^7*abs(b) - 420*a*b^7*c^3*d^8*abs(b) + 210*a^2*b^6*c^2*d^9*abs(b) - 20*a^3*b^5*c*d^10*abs(b) - a^4*b^4*d^11*abs(b))/(b^6*c*d^11 - a*b^5*d^12))*(b*x + a) - 20*(231*b^9*c^5*d^6*abs(b) - 651*a*b^8*c^4*d^7*abs(b) + 630*a^2*b^7*c^3*d^8*abs(b) - 230*a^3*b^6*c^2*d^9*abs(b) + 19*a^4*b^5*c*d^10*abs(b) + a^5*b^4*d^11*abs(b))/(b^6*c*d^11 - a*b^5*d^12))*(b*x + a) - 15*(231*b^10*c^6*d^5*abs(b) - 882*a*b^9*c^5*d^6*abs(b) + 1281*a^2*b^8*c^4*d^7*abs(b) - 860*a^3*b^7*c^3*d^8*abs(b) + 249*a^4*b^6*c^2*d^9*abs(b) - 18*a^5*b^5*c*d^10*abs(b) - a^6*b^4*d^11*abs(b))/(b^6*c*d^11 - a*b^5*d^12))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 5/64*(231*b^4*c^4*abs(b) - 420*a*b^3*c^3*d*abs(b) + 210*a^2*b^2*c^2*d^2*abs(b) - 20*a^3*b*c*d^3*abs(b) - a^4*d^4*abs(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)*b^2*d^6)","B",0
691,1,514,0,1.996397," ","integrate(x^2*(b*x+a)^(5/2)/(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^{4} c d^{9} {\left| b \right|} - a b^{3} d^{10} {\left| b \right|}} - \frac{3 \, {\left(3 \, b^{7} c^{2} d^{7} - 2 \, a b^{6} c d^{8} - a^{2} b^{5} d^{9}\right)}}{b^{4} c d^{9} {\left| b \right|} - a b^{3} d^{10} {\left| b \right|}}\right)} + \frac{3 \, {\left(21 \, b^{8} c^{3} d^{6} - 35 \, a b^{7} c^{2} d^{7} + 15 \, a^{2} b^{6} c d^{8} - a^{3} b^{5} d^{9}\right)}}{b^{4} c d^{9} {\left| b \right|} - a b^{3} d^{10} {\left| b \right|}}\right)} {\left(b x + a\right)} + \frac{20 \, {\left(21 \, b^{9} c^{4} d^{5} - 56 \, a b^{8} c^{3} d^{6} + 50 \, a^{2} b^{7} c^{2} d^{7} - 16 \, a^{3} b^{6} c d^{8} + a^{4} b^{5} d^{9}\right)}}{b^{4} c d^{9} {\left| b \right|} - a b^{3} d^{10} {\left| b \right|}}\right)} {\left(b x + a\right)} + \frac{15 \, {\left(21 \, b^{10} c^{5} d^{4} - 77 \, a b^{9} c^{4} d^{5} + 106 \, a^{2} b^{8} c^{3} d^{6} - 66 \, a^{3} b^{7} c^{2} d^{7} + 17 \, a^{4} b^{6} c d^{8} - a^{5} b^{5} d^{9}\right)}}{b^{4} c d^{9} {\left| b \right|} - a b^{3} 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{5 \, {\left(21 \, b^{4} c^{3} - 35 \, a b^{3} c^{2} d + 15 \, a^{2} b^{2} c d^{2} - a^{3} b 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^4*c*d^9*abs(b) - a*b^3*d^10*abs(b)) - 3*(3*b^7*c^2*d^7 - 2*a*b^6*c*d^8 - a^2*b^5*d^9)/(b^4*c*d^9*abs(b) - a*b^3*d^10*abs(b))) + 3*(21*b^8*c^3*d^6 - 35*a*b^7*c^2*d^7 + 15*a^2*b^6*c*d^8 - a^3*b^5*d^9)/(b^4*c*d^9*abs(b) - a*b^3*d^10*abs(b)))*(b*x + a) + 20*(21*b^9*c^4*d^5 - 56*a*b^8*c^3*d^6 + 50*a^2*b^7*c^2*d^7 - 16*a^3*b^6*c*d^8 + a^4*b^5*d^9)/(b^4*c*d^9*abs(b) - a*b^3*d^10*abs(b)))*(b*x + a) + 15*(21*b^10*c^5*d^4 - 77*a*b^9*c^4*d^5 + 106*a^2*b^8*c^3*d^6 - 66*a^3*b^7*c^2*d^7 + 17*a^4*b^6*c*d^8 - a^5*b^5*d^9)/(b^4*c*d^9*abs(b) - a*b^3*d^10*abs(b)))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + 5/8*(21*b^4*c^3 - 35*a*b^3*c^2*d + 15*a^2*b^2*c*d^2 - a^3*b*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))","A",0
692,1,404,0,1.609734," ","integrate(x*(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{{\left({\left(3 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(b^{5} c d^{6} {\left| b \right|} - a b^{4} d^{7} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{4} c d^{7} - a b^{3} d^{8}} - \frac{7 \, b^{6} c^{2} d^{5} {\left| b \right|} - 10 \, a b^{5} c d^{6} {\left| b \right|} + 3 \, a^{2} b^{4} d^{7} {\left| b \right|}}{b^{4} c d^{7} - a b^{3} d^{8}}\right)} - \frac{20 \, {\left(7 \, b^{7} c^{3} d^{4} {\left| b \right|} - 17 \, a b^{6} c^{2} d^{5} {\left| b \right|} + 13 \, a^{2} b^{5} c d^{6} {\left| b \right|} - 3 \, a^{3} b^{4} d^{7} {\left| b \right|}\right)}}{b^{4} c d^{7} - a b^{3} d^{8}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{8} c^{4} d^{3} {\left| b \right|} - 24 \, a b^{7} c^{3} d^{4} {\left| b \right|} + 30 \, a^{2} b^{6} c^{2} d^{5} {\left| b \right|} - 16 \, a^{3} b^{5} c d^{6} {\left| b \right|} + 3 \, a^{4} b^{4} d^{7} {\left| b \right|}\right)}}{b^{4} c d^{7} - a b^{3} d^{8}}\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{5 \, {\left(7 \, b^{2} c^{2} {\left| b \right|} - 10 \, a b c d {\left| b \right|} + 3 \, 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|}\right)}{4 \, \sqrt{b d} d^{4}}"," ",0,"1/12*((3*(b*x + a)*(2*(b^5*c*d^6*abs(b) - a*b^4*d^7*abs(b))*(b*x + a)/(b^4*c*d^7 - a*b^3*d^8) - (7*b^6*c^2*d^5*abs(b) - 10*a*b^5*c*d^6*abs(b) + 3*a^2*b^4*d^7*abs(b))/(b^4*c*d^7 - a*b^3*d^8)) - 20*(7*b^7*c^3*d^4*abs(b) - 17*a*b^6*c^2*d^5*abs(b) + 13*a^2*b^5*c*d^6*abs(b) - 3*a^3*b^4*d^7*abs(b))/(b^4*c*d^7 - a*b^3*d^8))*(b*x + a) - 15*(7*b^8*c^4*d^3*abs(b) - 24*a*b^7*c^3*d^4*abs(b) + 30*a^2*b^6*c^2*d^5*abs(b) - 16*a^3*b^5*c*d^6*abs(b) + 3*a^4*b^4*d^7*abs(b))/(b^4*c*d^7 - a*b^3*d^8))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 5/4*(7*b^2*c^2*abs(b) - 10*a*b*c*d*abs(b) + 3*a^2*d^2*abs(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)*d^4)","B",0
693,1,276,0,1.352782," ","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
694,1,347,0,2.029740," ","integrate((b*x+a)^(5/2)/x/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b d} a^{3} b \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} c^{2} {\left| b \right|}} - \frac{\sqrt{b d} 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)}^{2}\right)}{d^{3} {\left| b \right|}} - \frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(4 \, b^{8} c^{5} d^{2} - 5 \, a b^{7} c^{4} d^{3} - 2 \, a^{2} b^{6} c^{3} d^{4} + 3 \, a^{3} b^{5} c^{2} d^{5}\right)} {\left(b x + a\right)}}{b^{3} c^{5} d^{3} {\left| b \right|} - a b^{2} c^{4} d^{4} {\left| b \right|}} + \frac{3 \, {\left(b^{9} c^{6} d - 2 \, a b^{8} c^{5} d^{2} + 2 \, a^{3} b^{6} c^{3} d^{4} - a^{4} b^{5} c^{2} d^{5}\right)}}{b^{3} c^{5} d^{3} {\left| b \right|} - a b^{2} c^{4} 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*sqrt(b*d)*a^3*b*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*c^2*abs(b)) - sqrt(b*d)*b^3*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(d^3*abs(b)) - 2/3*sqrt(b*x + a)*((4*b^8*c^5*d^2 - 5*a*b^7*c^4*d^3 - 2*a^2*b^6*c^3*d^4 + 3*a^3*b^5*c^2*d^5)*(b*x + a)/(b^3*c^5*d^3*abs(b) - a*b^2*c^4*d^4*abs(b)) + 3*(b^9*c^6*d - 2*a*b^8*c^5*d^2 + 2*a^3*b^6*c^3*d^4 - a^4*b^5*c^2*d^5)/(b^3*c^5*d^3*abs(b) - a*b^2*c^4*d^4*abs(b)))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2)","B",0
695,1,633,0,6.795293," ","integrate((b*x+a)^(5/2)/x^2/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(b^{6} c^{6} d {\left| b \right|} + 4 \, a b^{5} c^{5} d^{2} {\left| b \right|} - 11 \, a^{2} b^{4} c^{4} d^{3} {\left| b \right|} + 6 \, a^{3} b^{3} c^{3} d^{4} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{3} c^{7} d - a b^{2} c^{6} d^{2}} + \frac{6 \, {\left(a b^{6} c^{6} d {\left| b \right|} - 3 \, a^{2} b^{5} c^{5} d^{2} {\left| b \right|} + 3 \, a^{3} b^{4} c^{4} d^{3} {\left| b \right|} - a^{4} b^{3} c^{3} d^{4} {\left| b \right|}\right)}}{b^{3} c^{7} d - a b^{2} c^{6} d^{2}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{5 \, {\left(\sqrt{b d} a^{2} b^{3} c - \sqrt{b d} a^{3} b^{2} d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} b c^{3} {\left| b \right|}} - \frac{2 \, {\left(\sqrt{b d} a^{2} b^{5} c^{2} - 2 \, \sqrt{b d} a^{3} b^{4} c d + \sqrt{b d} a^{4} b^{3} d^{2} - \sqrt{b 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} c - \sqrt{b 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^{2} d\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} c^{3} {\left| b \right|}}"," ",0,"2/3*sqrt(b*x + a)*((b^6*c^6*d*abs(b) + 4*a*b^5*c^5*d^2*abs(b) - 11*a^2*b^4*c^4*d^3*abs(b) + 6*a^3*b^3*c^3*d^4*abs(b))*(b*x + a)/(b^3*c^7*d - a*b^2*c^6*d^2) + 6*(a*b^6*c^6*d*abs(b) - 3*a^2*b^5*c^5*d^2*abs(b) + 3*a^3*b^4*c^4*d^3*abs(b) - a^4*b^3*c^3*d^4*abs(b))/(b^3*c^7*d - a*b^2*c^6*d^2))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 5*(sqrt(b*d)*a^2*b^3*c - sqrt(b*d)*a^3*b^2*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^3*abs(b)) - 2*(sqrt(b*d)*a^2*b^5*c^2 - 2*sqrt(b*d)*a^3*b^4*c*d + sqrt(b*d)*a^4*b^3*d^2 - 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*c - 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^2*d)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*c^3*abs(b))","B",0
696,1,1278,0,10.576487," ","integrate((b*x+a)^(5/2)/x^3/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(2 \, b^{6} c^{7} d^{2} {\left| b \right|} - 13 \, a b^{5} c^{6} d^{3} {\left| b \right|} + 20 \, a^{2} b^{4} c^{5} d^{4} {\left| b \right|} - 9 \, a^{3} b^{3} c^{4} d^{5} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{3} c^{9} d - a b^{2} c^{8} d^{2}} + \frac{3 \, {\left(b^{7} c^{8} d {\left| b \right|} - 6 \, a b^{6} c^{7} d^{2} {\left| b \right|} + 12 \, a^{2} b^{5} c^{6} d^{3} {\left| b \right|} - 10 \, a^{3} b^{4} c^{5} d^{4} {\left| b \right|} + 3 \, a^{4} b^{3} c^{4} d^{5} {\left| b \right|}\right)}}{b^{3} c^{9} d - a b^{2} c^{8} d^{2}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{5 \, {\left(3 \, \sqrt{b d} a b^{4} c^{2} - 10 \, \sqrt{b d} a^{2} b^{3} c d + 7 \, \sqrt{b d} a^{3} b^{2} d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} b c^{4} {\left| b \right|}} - \frac{9 \, \sqrt{b d} a b^{10} c^{5} - 47 \, \sqrt{b d} a^{2} b^{9} c^{4} d + 98 \, \sqrt{b d} a^{3} b^{8} c^{3} d^{2} - 102 \, \sqrt{b d} a^{4} b^{7} c^{2} d^{3} + 53 \, \sqrt{b d} a^{5} b^{6} c d^{4} - 11 \, \sqrt{b d} a^{6} b^{5} d^{5} - 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)}^{2} a b^{8} c^{4} + 64 \, \sqrt{b 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^{3} d - 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)}^{2} a^{3} b^{6} c^{2} d^{2} - 56 \, \sqrt{b 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^{5} c d^{3} + 33 \, \sqrt{b 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^{4} d^{4} + 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 b^{6} c^{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)}^{4} a^{2} b^{5} c^{2} d + 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^{3} b^{4} c d^{2} - 33 \, \sqrt{b 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^{3} 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)}^{6} a b^{4} c^{2} - 2 \, \sqrt{b 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^{3} c d + 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)}^{6} a^{3} b^{2} d^{2}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} c^{4} {\left| b \right|}}"," ",0,"2/3*sqrt(b*x + a)*((2*b^6*c^7*d^2*abs(b) - 13*a*b^5*c^6*d^3*abs(b) + 20*a^2*b^4*c^5*d^4*abs(b) - 9*a^3*b^3*c^4*d^5*abs(b))*(b*x + a)/(b^3*c^9*d - a*b^2*c^8*d^2) + 3*(b^7*c^8*d*abs(b) - 6*a*b^6*c^7*d^2*abs(b) + 12*a^2*b^5*c^6*d^3*abs(b) - 10*a^3*b^4*c^5*d^4*abs(b) + 3*a^4*b^3*c^4*d^5*abs(b))/(b^3*c^9*d - a*b^2*c^8*d^2))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 5/4*(3*sqrt(b*d)*a*b^4*c^2 - 10*sqrt(b*d)*a^2*b^3*c*d + 7*sqrt(b*d)*a^3*b^2*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^4*abs(b)) - 1/2*(9*sqrt(b*d)*a*b^10*c^5 - 47*sqrt(b*d)*a^2*b^9*c^4*d + 98*sqrt(b*d)*a^3*b^8*c^3*d^2 - 102*sqrt(b*d)*a^4*b^7*c^2*d^3 + 53*sqrt(b*d)*a^5*b^6*c*d^4 - 11*sqrt(b*d)*a^6*b^5*d^5 - 27*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^4 + 64*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^3*d - 14*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*c^2*d^2 - 56*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^5*c*d^3 + 33*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^4*d^4 + 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*b^6*c^3 - 15*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*c^2*d + 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^3*b^4*c*d^2 - 33*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^3*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))^6*a*b^4*c^2 - 2*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^3*c*d + 11*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^2*d^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*c^4*abs(b))","B",0
697,1,2354,0,67.433559," ","integrate((b*x+a)^(5/2)/x^4/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(5 \, b^{6} c^{8} d^{3} {\left| b \right|} - 22 \, a b^{5} c^{7} d^{4} {\left| b \right|} + 29 \, a^{2} b^{4} c^{6} d^{5} {\left| b \right|} - 12 \, a^{3} b^{3} c^{5} d^{6} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{3} c^{11} d - a b^{2} c^{10} d^{2}} + \frac{6 \, {\left(b^{7} c^{9} d^{2} {\left| b \right|} - 5 \, a b^{6} c^{8} d^{3} {\left| b \right|} + 9 \, a^{2} b^{5} c^{7} d^{4} {\left| b \right|} - 7 \, a^{3} b^{4} c^{6} d^{5} {\left| b \right|} + 2 \, a^{4} b^{3} c^{5} d^{6} {\left| b \right|}\right)}}{b^{3} c^{11} d - a b^{2} c^{10} d^{2}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{5 \, {\left(\sqrt{b d} b^{5} c^{3} - 15 \, \sqrt{b d} a b^{4} c^{2} d + 35 \, \sqrt{b d} a^{2} b^{3} c d^{2} - 21 \, \sqrt{b d} a^{3} b^{2} d^{3}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{8 \, \sqrt{-a b c d} b c^{5} {\left| b \right|}} - \frac{33 \, \sqrt{b d} b^{15} c^{8} - 346 \, \sqrt{b d} a b^{14} c^{7} d + 1506 \, \sqrt{b d} a^{2} b^{13} c^{6} d^{2} - 3618 \, \sqrt{b d} a^{3} b^{12} c^{5} d^{3} + 5300 \, \sqrt{b d} a^{4} b^{11} c^{4} d^{4} - 4878 \, \sqrt{b d} a^{5} b^{10} c^{3} d^{5} + 2766 \, \sqrt{b d} a^{6} b^{9} c^{2} d^{6} - 886 \, \sqrt{b d} a^{7} b^{8} c d^{7} + 123 \, \sqrt{b d} a^{8} b^{7} d^{8} - 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} b^{13} c^{7} + 1287 \, \sqrt{b 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^{6} d - 3441 \, \sqrt{b 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^{5} d^{2} + 3579 \, \sqrt{b 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^{4} d^{3} + 129 \, \sqrt{b 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^{3} d^{4} - 3291 \, \sqrt{b 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} c^{2} d^{5} + 2517 \, \sqrt{b 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^{7} c d^{6} - 615 \, \sqrt{b 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^{6} d^{7} + 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} b^{11} c^{6} - 1848 \, \sqrt{b 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^{5} d + 2586 \, \sqrt{b 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^{4} d^{2} - 816 \, \sqrt{b 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^{3} d^{3} + 846 \, \sqrt{b 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} c^{2} d^{4} - 2328 \, \sqrt{b 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^{6} c d^{5} + 1230 \, \sqrt{b 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^{5} 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)}^{6} b^{9} c^{5} + 1282 \, \sqrt{b 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^{4} d - 540 \, \sqrt{b 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^{3} d^{2} - 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^{3} b^{6} c^{2} d^{3} + 742 \, \sqrt{b 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^{5} c d^{4} - 1230 \, \sqrt{b 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^{4} d^{5} + 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)}^{8} b^{7} c^{4} - 438 \, \sqrt{b 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^{3} d - 204 \, \sqrt{b 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} c^{2} d^{2} - 138 \, \sqrt{b 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^{4} c d^{3} + 615 \, \sqrt{b 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^{3} d^{4} - 33 \, \sqrt{b 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^{3} + 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)}^{10} a b^{4} c^{2} d + 93 \, \sqrt{b 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^{3} c d^{2} - 123 \, \sqrt{b 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^{2} d^{3}}{12 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} c^{5} {\left| b \right|}}"," ",0,"-2/3*sqrt(b*x + a)*((5*b^6*c^8*d^3*abs(b) - 22*a*b^5*c^7*d^4*abs(b) + 29*a^2*b^4*c^6*d^5*abs(b) - 12*a^3*b^3*c^5*d^6*abs(b))*(b*x + a)/(b^3*c^11*d - a*b^2*c^10*d^2) + 6*(b^7*c^9*d^2*abs(b) - 5*a*b^6*c^8*d^3*abs(b) + 9*a^2*b^5*c^7*d^4*abs(b) - 7*a^3*b^4*c^6*d^5*abs(b) + 2*a^4*b^3*c^5*d^6*abs(b))/(b^3*c^11*d - a*b^2*c^10*d^2))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 5/8*(sqrt(b*d)*b^5*c^3 - 15*sqrt(b*d)*a*b^4*c^2*d + 35*sqrt(b*d)*a^2*b^3*c*d^2 - 21*sqrt(b*d)*a^3*b^2*d^3)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*b*c^5*abs(b)) - 1/12*(33*sqrt(b*d)*b^15*c^8 - 346*sqrt(b*d)*a*b^14*c^7*d + 1506*sqrt(b*d)*a^2*b^13*c^6*d^2 - 3618*sqrt(b*d)*a^3*b^12*c^5*d^3 + 5300*sqrt(b*d)*a^4*b^11*c^4*d^4 - 4878*sqrt(b*d)*a^5*b^10*c^3*d^5 + 2766*sqrt(b*d)*a^6*b^9*c^2*d^6 - 886*sqrt(b*d)*a^7*b^8*c*d^7 + 123*sqrt(b*d)*a^8*b^7*d^8 - 165*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^7 + 1287*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^6*d - 3441*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^5*d^2 + 3579*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^4*d^3 + 129*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^3*d^4 - 3291*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*c^2*d^5 + 2517*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^7*c*d^6 - 615*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^6*d^7 + 330*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^6 - 1848*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^5*d + 2586*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^4*d^2 - 816*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^3*d^3 + 846*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*c^2*d^4 - 2328*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^6*c*d^5 + 1230*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^5*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))^6*b^9*c^5 + 1282*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^4*d - 540*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^3*d^2 - 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^3*b^6*c^2*d^3 + 742*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^5*c*d^4 - 1230*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^4*d^5 + 165*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^4 - 438*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^3*d - 204*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*c^2*d^2 - 138*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^4*c*d^3 + 615*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^3*d^4 - 33*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^3 + 63*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*c^2*d + 93*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^3*c*d^2 - 123*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^2*d^3)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*c^5*abs(b))","B",0
698,1,3915,0,33.946457," ","integrate((b*x+a)^(5/2)/x^5/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(8 \, b^{6} c^{9} d^{4} {\left| b \right|} - 31 \, a b^{5} c^{8} d^{5} {\left| b \right|} + 38 \, a^{2} b^{4} c^{7} d^{6} {\left| b \right|} - 15 \, a^{3} b^{3} c^{6} d^{7} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{3} c^{13} d - a b^{2} c^{12} d^{2}} + \frac{3 \, {\left(3 \, b^{7} c^{10} d^{3} {\left| b \right|} - 14 \, a b^{6} c^{9} d^{4} {\left| b \right|} + 24 \, a^{2} b^{5} c^{8} d^{5} {\left| b \right|} - 18 \, a^{3} b^{4} c^{7} d^{6} {\left| b \right|} + 5 \, a^{4} b^{3} c^{6} d^{7} {\left| b \right|}\right)}}{b^{3} c^{13} d - a b^{2} c^{12} d^{2}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} + \frac{5 \, {\left(\sqrt{b d} b^{6} c^{4} + 20 \, \sqrt{b d} a b^{5} c^{3} d - 210 \, \sqrt{b d} a^{2} b^{4} c^{2} d^{2} + 420 \, \sqrt{b d} a^{3} b^{3} c d^{3} - 231 \, \sqrt{b d} a^{4} b^{2} d^{4}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{64 \, \sqrt{-a b c d} a b c^{6} {\left| b \right|}} - \frac{15 \, \sqrt{b d} b^{20} c^{11} - 839 \, \sqrt{b d} a b^{19} c^{10} d + 8373 \, \sqrt{b d} a^{2} b^{18} c^{9} d^{2} - 40125 \, \sqrt{b d} a^{3} b^{17} c^{8} d^{3} + 115302 \, \sqrt{b d} a^{4} b^{16} c^{7} d^{4} - 217686 \, \sqrt{b d} a^{5} b^{15} c^{6} d^{5} + 281274 \, \sqrt{b d} a^{6} b^{14} c^{5} d^{6} - 251658 \, \sqrt{b d} a^{7} b^{13} c^{4} d^{7} + 153915 \, \sqrt{b d} a^{8} b^{12} c^{3} d^{8} - 61587 \, \sqrt{b d} a^{9} b^{11} c^{2} d^{9} + 14561 \, \sqrt{b d} a^{10} b^{10} c d^{10} - 1545 \, \sqrt{b d} a^{11} b^{9} d^{11} - 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)}^{2} b^{18} c^{10} + 5794 \, \sqrt{b 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^{17} c^{9} d - 44109 \, \sqrt{b 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^{16} c^{8} d^{2} + 145304 \, \sqrt{b 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^{15} c^{7} d^{3} - 245954 \, \sqrt{b 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^{14} c^{6} d^{4} + 190860 \, \sqrt{b 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^{13} c^{5} d^{5} + 29006 \, \sqrt{b 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^{12} c^{4} d^{6} - 195176 \, \sqrt{b 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^{11} c^{3} d^{7} + 172011 \, \sqrt{b 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^{10} c^{2} d^{8} - 68446 \, \sqrt{b 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^{9} b^{9} c d^{9} + 10815 \, \sqrt{b 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^{10} b^{8} d^{10} + 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)}^{4} b^{16} c^{9} - 16853 \, \sqrt{b 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^{15} c^{8} d + 94076 \, \sqrt{b 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^{14} c^{7} d^{2} - 196500 \, \sqrt{b 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^{13} c^{6} d^{3} + 167002 \, \sqrt{b 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^{12} c^{5} d^{4} - 44758 \, \sqrt{b 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^{11} c^{4} d^{5} + 63660 \, \sqrt{b 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^{10} c^{3} d^{6} - 160004 \, \sqrt{b 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^{9} c^{2} d^{7} + 125507 \, \sqrt{b 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^{8} b^{8} c d^{8} - 32445 \, \sqrt{b 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^{9} b^{7} d^{9} - 525 \, \sqrt{b 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^{14} c^{8} + 26720 \, \sqrt{b 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^{13} c^{7} d - 103860 \, \sqrt{b 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^{12} c^{6} d^{2} + 118128 \, \sqrt{b 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^{11} c^{5} d^{3} - 30006 \, \sqrt{b 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^{10} c^{4} d^{4} - 11712 \, \sqrt{b 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^{9} c^{3} d^{5} + 57660 \, \sqrt{b 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^{8} c^{2} d^{6} - 110480 \, \sqrt{b 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^{7} b^{7} c d^{7} + 54075 \, \sqrt{b 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^{8} b^{6} d^{8} + 525 \, \sqrt{b 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^{12} c^{7} - 24865 \, \sqrt{b 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^{11} c^{6} d + 62925 \, \sqrt{b 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^{10} c^{5} d^{2} - 22697 \, \sqrt{b 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^{9} c^{4} d^{3} - 5137 \, \sqrt{b 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^{8} c^{3} d^{4} - 8955 \, \sqrt{b 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^{7} c^{2} d^{5} + 46135 \, \sqrt{b 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^{6} b^{6} c d^{6} - 54075 \, \sqrt{b 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^{7} b^{5} d^{7} - 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^{10} c^{6} + 13514 \, \sqrt{b 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^{9} c^{5} d - 20573 \, \sqrt{b 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^{8} c^{4} d^{2} - 9492 \, \sqrt{b 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^{7} c^{3} d^{3} - 5893 \, \sqrt{b 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^{6} c^{2} d^{4} - 9686 \, \sqrt{b 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^{5} b^{5} c d^{5} + 32445 \, \sqrt{b 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^{6} b^{4} d^{6} + 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^{8} c^{5} - 3939 \, \sqrt{b 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^{7} c^{4} d + 3474 \, \sqrt{b 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^{6} c^{3} d^{2} + 7074 \, \sqrt{b 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^{5} c^{2} d^{3} + 4101 \, \sqrt{b 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^{4} b^{4} c d^{4} - 10815 \, \sqrt{b 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^{5} b^{3} d^{5} - 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)}^{14} b^{6} c^{4} + 468 \, \sqrt{b 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^{5} c^{3} d - 306 \, \sqrt{b 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^{4} c^{2} d^{2} - 1692 \, \sqrt{b 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^{3} b^{3} c d^{3} + 1545 \, \sqrt{b 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^{4} b^{2} d^{4}}{96 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a c^{6} {\left| b \right|}}"," ",0,"2/3*sqrt(b*x + a)*((8*b^6*c^9*d^4*abs(b) - 31*a*b^5*c^8*d^5*abs(b) + 38*a^2*b^4*c^7*d^6*abs(b) - 15*a^3*b^3*c^6*d^7*abs(b))*(b*x + a)/(b^3*c^13*d - a*b^2*c^12*d^2) + 3*(3*b^7*c^10*d^3*abs(b) - 14*a*b^6*c^9*d^4*abs(b) + 24*a^2*b^5*c^8*d^5*abs(b) - 18*a^3*b^4*c^7*d^6*abs(b) + 5*a^4*b^3*c^6*d^7*abs(b))/(b^3*c^13*d - a*b^2*c^12*d^2))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + 5/64*(sqrt(b*d)*b^6*c^4 + 20*sqrt(b*d)*a*b^5*c^3*d - 210*sqrt(b*d)*a^2*b^4*c^2*d^2 + 420*sqrt(b*d)*a^3*b^3*c*d^3 - 231*sqrt(b*d)*a^4*b^2*d^4)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^6*abs(b)) - 1/96*(15*sqrt(b*d)*b^20*c^11 - 839*sqrt(b*d)*a*b^19*c^10*d + 8373*sqrt(b*d)*a^2*b^18*c^9*d^2 - 40125*sqrt(b*d)*a^3*b^17*c^8*d^3 + 115302*sqrt(b*d)*a^4*b^16*c^7*d^4 - 217686*sqrt(b*d)*a^5*b^15*c^6*d^5 + 281274*sqrt(b*d)*a^6*b^14*c^5*d^6 - 251658*sqrt(b*d)*a^7*b^13*c^4*d^7 + 153915*sqrt(b*d)*a^8*b^12*c^3*d^8 - 61587*sqrt(b*d)*a^9*b^11*c^2*d^9 + 14561*sqrt(b*d)*a^10*b^10*c*d^10 - 1545*sqrt(b*d)*a^11*b^9*d^11 - 105*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^18*c^10 + 5794*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^17*c^9*d - 44109*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^16*c^8*d^2 + 145304*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^15*c^7*d^3 - 245954*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^14*c^6*d^4 + 190860*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^13*c^5*d^5 + 29006*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^12*c^4*d^6 - 195176*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^11*c^3*d^7 + 172011*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^10*c^2*d^8 - 68446*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^9*c*d^9 + 10815*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^10*b^8*d^10 + 315*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^16*c^9 - 16853*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^15*c^8*d + 94076*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^14*c^7*d^2 - 196500*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^13*c^6*d^3 + 167002*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^12*c^5*d^4 - 44758*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^11*c^4*d^5 + 63660*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^10*c^3*d^6 - 160004*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^9*c^2*d^7 + 125507*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^8*c*d^8 - 32445*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^9*b^7*d^9 - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^14*c^8 + 26720*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^13*c^7*d - 103860*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^12*c^6*d^2 + 118128*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^11*c^5*d^3 - 30006*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^10*c^4*d^4 - 11712*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^9*c^3*d^5 + 57660*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^8*c^2*d^6 - 110480*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^7*c*d^7 + 54075*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^6*d^8 + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^12*c^7 - 24865*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^11*c^6*d + 62925*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^10*c^5*d^2 - 22697*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^9*c^4*d^3 - 5137*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^8*c^3*d^4 - 8955*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^7*c^2*d^5 + 46135*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^6*c*d^6 - 54075*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^5*d^7 - 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^10*c^6 + 13514*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^9*c^5*d - 20573*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^8*c^4*d^2 - 9492*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^7*c^3*d^3 - 5893*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^6*c^2*d^4 - 9686*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^5*c*d^5 + 32445*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^6*b^4*d^6 + 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^8*c^5 - 3939*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^7*c^4*d + 3474*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^6*c^3*d^2 + 7074*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^5*c^2*d^3 + 4101*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^4*c*d^4 - 10815*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^5*b^3*d^5 - 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*b^6*c^4 + 468*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^5*c^3*d - 306*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^4*c^2*d^2 - 1692*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^3*c*d^3 + 1545*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b^2*d^4)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a*c^6*abs(b))","B",0
699,1,207,0,1.065883," ","integrate(x^2*(d*x+c)^(1/2)/(b*x+a)^(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|}}{24 \, b^{3}}"," ",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)/b^3","A",0
700,1,132,0,1.113083," ","integrate(x*(d*x+c)^(1/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\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|}}{4 \, b^{4}}"," ",0,"1/4*(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^4","A",0
701,1,93,0,0.923188," ","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
702,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/x/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
703,1,413,0,2.867894," ","integrate((d*x+c)^(1/2)/x^2/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{{\left(\frac{{\left(\sqrt{b d} b^{4} c - \sqrt{b d} a b^{3} d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b} - \frac{2 \, {\left(\sqrt{b d} b^{6} c^{2} - 2 \, \sqrt{b d} a b^{5} c d + \sqrt{b d} a^{2} b^{4} d^{2} - \sqrt{b 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 - \sqrt{b 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\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} a}\right)} {\left| b \right|}}{b^{3}}"," ",0,"((sqrt(b*d)*b^4*c - sqrt(b*d)*a*b^3*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b) - 2*(sqrt(b*d)*b^6*c^2 - 2*sqrt(b*d)*a*b^5*c*d + sqrt(b*d)*a^2*b^4*d^2 - 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 - 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)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*a))*abs(b)/b^3","B",0
704,1,1048,0,3.287804," ","integrate((d*x+c)^(1/2)/x^3/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{{\left(\frac{{\left(3 \, \sqrt{b d} b^{5} c^{2} - 2 \, \sqrt{b d} a b^{4} c d - \sqrt{b d} a^{2} b^{3} d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b c} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{11} c^{5} - 13 \, \sqrt{b d} a b^{10} c^{4} d + 22 \, \sqrt{b d} a^{2} b^{9} c^{3} d^{2} - 18 \, \sqrt{b d} a^{3} b^{8} c^{2} d^{3} + 7 \, \sqrt{b d} a^{4} b^{7} c d^{4} - \sqrt{b d} a^{5} b^{6} d^{5} - 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^{9} c^{4} + 8 \, \sqrt{b 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^{3} d + 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)}^{2} a^{2} b^{7} c^{2} d^{2} - 16 \, \sqrt{b 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} c 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)}^{2} a^{4} b^{5} d^{4} + 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^{7} c^{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} a b^{6} c^{2} d + 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)}^{4} a^{2} b^{5} c 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} a^{3} b^{4} 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)}^{6} b^{5} c^{2} + 2 \, \sqrt{b 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} c d + \sqrt{b 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^{3} d^{2}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a^{2} c}\right)} {\left| b \right|}}{4 \, b^{3}}"," ",0,"-1/4*((3*sqrt(b*d)*b^5*c^2 - 2*sqrt(b*d)*a*b^4*c*d - sqrt(b*d)*a^2*b^3*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c) - 2*(3*sqrt(b*d)*b^11*c^5 - 13*sqrt(b*d)*a*b^10*c^4*d + 22*sqrt(b*d)*a^2*b^9*c^3*d^2 - 18*sqrt(b*d)*a^3*b^8*c^2*d^3 + 7*sqrt(b*d)*a^4*b^7*c*d^4 - sqrt(b*d)*a^5*b^6*d^5 - 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^9*c^4 + 8*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^3*d + 14*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^2*d^2 - 16*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*c*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))^2*a^4*b^5*d^4 + 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^7*c^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*a*b^6*c^2*d + 7*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*c*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*a^3*b^4*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))^6*b^5*c^2 + 2*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*c*d + 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^3*d^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a^2*c))*abs(b)/b^3","B",0
705,1,2140,0,30.247573," ","integrate((d*x+c)^(1/2)/x^4/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{{\left(\frac{3 \, {\left(5 \, \sqrt{b d} b^{6} c^{3} - 3 \, \sqrt{b d} a b^{5} c^{2} d - \sqrt{b d} a^{2} b^{4} c d^{2} - \sqrt{b d} a^{3} b^{3} d^{3}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{3} b c^{2}} - \frac{2 \, {\left(15 \, \sqrt{b d} b^{16} c^{8} - 94 \, \sqrt{b d} a b^{15} c^{7} d + 246 \, \sqrt{b d} a^{2} b^{14} c^{6} d^{2} - 342 \, \sqrt{b d} a^{3} b^{13} c^{5} d^{3} + 260 \, \sqrt{b d} a^{4} b^{12} c^{4} d^{4} - 90 \, \sqrt{b d} a^{5} b^{11} c^{3} d^{5} - 6 \, \sqrt{b d} a^{6} b^{10} c^{2} d^{6} + 14 \, \sqrt{b d} a^{7} b^{9} c d^{7} - 3 \, \sqrt{b d} a^{8} b^{8} d^{8} - 75 \, \sqrt{b 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} + 225 \, \sqrt{b 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 - 111 \, \sqrt{b 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^{2} - 291 \, \sqrt{b 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^{3} + 399 \, \sqrt{b 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^{4} - 141 \, \sqrt{b 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^{5} - 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^{6} b^{8} c d^{6} + 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)}^{2} a^{7} b^{7} d^{7} + 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)}^{4} b^{12} c^{6} - 120 \, \sqrt{b 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 - 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^{10} c^{4} 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)}^{4} a^{3} b^{9} c^{3} d^{3} + 306 \, \sqrt{b 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^{4} - 24 \, \sqrt{b 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^{5} - 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)}^{4} a^{6} b^{6} d^{6} - 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)}^{6} b^{10} c^{5} - 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)}^{6} a b^{9} c^{4} d - 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)}^{6} a^{2} b^{8} c^{3} d^{2} - 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)}^{6} a^{3} b^{7} c^{2} d^{3} + 58 \, \sqrt{b 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^{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} a^{5} b^{5} d^{5} + 75 \, \sqrt{b 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} + 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)}^{8} a b^{7} c^{3} d - 60 \, \sqrt{b 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^{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)}^{8} a^{3} b^{5} c 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)}^{8} a^{4} b^{4} d^{4} - 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)}^{10} b^{6} c^{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)}^{10} a b^{5} c^{2} d + 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)}^{10} a^{2} b^{4} c 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)}^{10} a^{3} b^{3} d^{3}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a^{3} c^{2}}\right)} {\left| b \right|}}{24 \, b^{3}}"," ",0,"1/24*(3*(5*sqrt(b*d)*b^6*c^3 - 3*sqrt(b*d)*a*b^5*c^2*d - sqrt(b*d)*a^2*b^4*c*d^2 - sqrt(b*d)*a^3*b^3*d^3)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b*c^2) - 2*(15*sqrt(b*d)*b^16*c^8 - 94*sqrt(b*d)*a*b^15*c^7*d + 246*sqrt(b*d)*a^2*b^14*c^6*d^2 - 342*sqrt(b*d)*a^3*b^13*c^5*d^3 + 260*sqrt(b*d)*a^4*b^12*c^4*d^4 - 90*sqrt(b*d)*a^5*b^11*c^3*d^5 - 6*sqrt(b*d)*a^6*b^10*c^2*d^6 + 14*sqrt(b*d)*a^7*b^9*c*d^7 - 3*sqrt(b*d)*a^8*b^8*d^8 - 75*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 + 225*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 - 111*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^2 - 291*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^3 + 399*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^4 - 141*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^5 - 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^6*b^8*c*d^6 + 15*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^7 + 150*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 - 120*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 - 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^10*c^4*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))^4*a^3*b^9*c^3*d^3 + 306*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^4 - 24*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^5 - 30*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^6 - 150*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 - 50*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 - 36*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^2 - 108*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^3 + 58*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^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*a^5*b^5*d^5 + 75*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 + 30*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 - 60*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^2 - 30*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^3 - 15*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^4 - 15*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 + 9*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 + 3*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^2 + 3*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^3)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a^3*c^2))*abs(b)/b^3","B",0
706,1,501,0,1.277554," ","integrate(x^2*(d*x+c)^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\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|}}{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 {\left| b \right|}}{b^{2}}}{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)/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)/b^2)/b","B",0
707,1,346,0,1.247160," ","integrate(x*(d*x+c)^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\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^{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)} c {\left| b \right|}}{b^{3}}}{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))*d*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))*c*abs(b)/b^3)/b","B",0
708,1,233,0,1.184431," ","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
709,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/x/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
710,1,484,0,2.287347," ","integrate((d*x+c)^(3/2)/x^2/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\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} - \frac{{\left(\sqrt{b d} b^{2} c^{2} {\left| b \right|} - 3 \, \sqrt{b d} a b c d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b} + \frac{2 \, {\left(\sqrt{b d} b^{4} c^{3} {\left| b \right|} - 2 \, \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} + \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} - \sqrt{b 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^{2} c^{2} {\left| b \right|} - \sqrt{b 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 c d {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} a}}{b}"," ",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 - (sqrt(b*d)*b^2*c^2*abs(b) - 3*sqrt(b*d)*a*b*c*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b) + 2*(sqrt(b*d)*b^4*c^3*abs(b) - 2*sqrt(b*d)*a*b^3*c^2*d*abs(b) + sqrt(b*d)*a^2*b^2*c*d^2*abs(b) - sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c^2*abs(b) - 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*c*d*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*a))/b","B",0
711,1,1078,0,3.651742," ","integrate((d*x+c)^(3/2)/x^3/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(\sqrt{b d} b^{3} c^{2} {\left| b \right|} - 2 \, \sqrt{b d} a b^{2} c d {\left| b \right|} + \sqrt{b d} a^{2} b d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{9} c^{5} {\left| b \right|} - 17 \, \sqrt{b d} a b^{8} c^{4} d {\left| b \right|} + 38 \, \sqrt{b d} a^{2} b^{7} c^{3} d^{2} {\left| b \right|} - 42 \, \sqrt{b d} a^{3} b^{6} c^{2} d^{3} {\left| b \right|} + 23 \, \sqrt{b d} a^{4} b^{5} c d^{4} {\left| b \right|} - 5 \, \sqrt{b d} a^{5} b^{4} d^{5} {\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^{7} c^{4} {\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)}^{2} a b^{6} c^{3} d {\left| b \right|} + 2 \, \sqrt{b 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^{2} {\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^{4} c d^{3} {\left| b \right|} + 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)}^{2} a^{4} b^{3} 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^{5} c^{3} {\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 b^{4} c^{2} d {\left| b \right|} - \sqrt{b 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^{2} {\left| b \right|} - 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)}^{4} a^{3} b^{2} 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)}^{6} b^{3} c^{2} {\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)}^{6} a b^{2} c d {\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)}^{6} a^{2} b d^{2} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a^{2}}}{4 \, b}"," ",0,"-1/4*(3*(sqrt(b*d)*b^3*c^2*abs(b) - 2*sqrt(b*d)*a*b^2*c*d*abs(b) + sqrt(b*d)*a^2*b*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b) - 2*(3*sqrt(b*d)*b^9*c^5*abs(b) - 17*sqrt(b*d)*a*b^8*c^4*d*abs(b) + 38*sqrt(b*d)*a^2*b^7*c^3*d^2*abs(b) - 42*sqrt(b*d)*a^3*b^6*c^2*d^3*abs(b) + 23*sqrt(b*d)*a^4*b^5*c*d^4*abs(b) - 5*sqrt(b*d)*a^5*b^4*d^5*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^7*c^4*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))^2*a*b^6*c^3*d*abs(b) + 2*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^2*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^4*c*d^3*abs(b) + 15*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^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^5*c^3*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*b^4*c^2*d*abs(b) - 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^2*abs(b) - 15*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^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))^6*b^3*c^2*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))^6*a*b^2*c*d*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))^6*a^2*b*d^2*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a^2))/b","B",0
712,1,2219,0,30.800797," ","integrate((d*x+c)^(3/2)/x^4/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\frac{3 \, {\left(5 \, \sqrt{b d} b^{4} c^{3} {\left| b \right|} - 9 \, \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} + 3 \, \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} + \sqrt{b d} a^{3} b d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{3} b c} - \frac{2 \, {\left(15 \, \sqrt{b d} b^{14} c^{8} {\left| b \right|} - 112 \, \sqrt{b d} a b^{13} c^{7} d {\left| b \right|} + 360 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} {\left| b \right|} - 648 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} {\left| b \right|} + 710 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} {\left| b \right|} - 480 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} {\left| b \right|} + 192 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} {\left| b \right|} - 40 \, \sqrt{b d} a^{7} b^{7} c d^{7} {\left| b \right|} + 3 \, \sqrt{b d} a^{8} b^{6} d^{8} {\left| b \right|} - 75 \, \sqrt{b 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^{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)}^{2} a b^{11} c^{6} d {\left| b \right|} - 387 \, \sqrt{b 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^{5} d^{2} {\left| b \right|} - 117 \, \sqrt{b 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^{4} d^{3} {\left| b \right|} + 663 \, \sqrt{b 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^{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)}^{2} a^{5} b^{7} c^{2} d^{5} {\left| b \right|} + 183 \, \sqrt{b 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} c d^{6} {\left| b \right|} - 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)}^{2} a^{7} b^{5} d^{7} {\left| b \right|} + 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)}^{4} b^{10} c^{6} {\left| b \right|} - 300 \, \sqrt{b 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^{5} d {\left| b \right|} + 114 \, \sqrt{b 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^{4} d^{2} {\left| b \right|} - 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)}^{4} a^{3} b^{7} c^{3} d^{3} {\left| b \right|} + 474 \, \sqrt{b 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^{2} d^{4} {\left| b \right|} - 300 \, \sqrt{b 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} c d^{5} {\left| b \right|} + 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)}^{4} a^{6} b^{4} d^{6} {\left| b \right|} - 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)}^{6} b^{8} c^{5} {\left| b \right|} + 130 \, \sqrt{b 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^{4} d {\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)}^{6} a^{2} b^{6} c^{3} 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)}^{6} a^{3} b^{5} c^{2} d^{3} {\left| b \right|} + 202 \, \sqrt{b 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} c d^{4} {\left| b \right|} - 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^{5} b^{3} d^{5} {\left| b \right|} + 75 \, \sqrt{b 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^{4} {\left| b \right|} - 60 \, \sqrt{b 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^{3} d {\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)}^{8} a^{2} b^{4} 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)}^{8} a^{3} b^{3} c d^{3} {\left| b \right|} + 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)}^{8} a^{4} b^{2} d^{4} {\left| b \right|} - 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)}^{10} b^{4} c^{3} {\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)}^{10} a b^{3} c^{2} d {\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)}^{10} a^{2} 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)}^{10} a^{3} b d^{3} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a^{3} c}}{24 \, b}"," ",0,"1/24*(3*(5*sqrt(b*d)*b^4*c^3*abs(b) - 9*sqrt(b*d)*a*b^3*c^2*d*abs(b) + 3*sqrt(b*d)*a^2*b^2*c*d^2*abs(b) + sqrt(b*d)*a^3*b*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b*c) - 2*(15*sqrt(b*d)*b^14*c^8*abs(b) - 112*sqrt(b*d)*a*b^13*c^7*d*abs(b) + 360*sqrt(b*d)*a^2*b^12*c^6*d^2*abs(b) - 648*sqrt(b*d)*a^3*b^11*c^5*d^3*abs(b) + 710*sqrt(b*d)*a^4*b^10*c^4*d^4*abs(b) - 480*sqrt(b*d)*a^5*b^9*c^3*d^5*abs(b) + 192*sqrt(b*d)*a^6*b^8*c^2*d^6*abs(b) - 40*sqrt(b*d)*a^7*b^7*c*d^7*abs(b) + 3*sqrt(b*d)*a^8*b^6*d^8*abs(b) - 75*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^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))^2*a*b^11*c^6*d*abs(b) - 387*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^5*d^2*abs(b) - 117*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^4*d^3*abs(b) + 663*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^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))^2*a^5*b^7*c^2*d^5*abs(b) + 183*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*c*d^6*abs(b) - 15*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^5*d^7*abs(b) + 150*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^6*abs(b) - 300*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^5*d*abs(b) + 114*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^4*d^2*abs(b) - 168*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^3*d^3*abs(b) + 474*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^2*d^4*abs(b) - 300*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*c*d^5*abs(b) + 30*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^4*d^6*abs(b) - 150*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^5*abs(b) + 130*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^4*d*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))^6*a^2*b^6*c^3*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))^6*a^3*b^5*c^2*d^3*abs(b) + 202*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*c*d^4*abs(b) - 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^5*b^3*d^5*abs(b) + 75*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^4*abs(b) - 60*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^3*d*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))^8*a^2*b^4*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))^8*a^3*b^3*c*d^3*abs(b) + 15*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^2*d^4*abs(b) - 15*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^3*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))^10*a*b^3*c^2*d*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))^10*a^2*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))^10*a^3*b*d^3*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a^3*c))/b","B",0
713,1,3834,0,10.832884," ","integrate((d*x+c)^(3/2)/x^5/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(35 \, \sqrt{b d} b^{5} c^{4} {\left| b \right|} - 60 \, \sqrt{b d} a b^{4} c^{3} d {\left| b \right|} + 18 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} + 4 \, \sqrt{b d} a^{3} b^{2} c d^{3} {\left| b \right|} + 3 \, \sqrt{b d} a^{4} b d^{4} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{4} b c^{2}} - \frac{2 \, {\left(105 \, \sqrt{b d} b^{19} c^{11} {\left| b \right|} - 985 \, \sqrt{b d} a b^{18} c^{10} d {\left| b \right|} + 4115 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} {\left| b \right|} - 10051 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} {\left| b \right|} + 15818 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} {\left| b \right|} - 16618 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} {\left| b \right|} + 11606 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} {\left| b \right|} - 5110 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} {\left| b \right|} + 1181 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} {\left| b \right|} - 13 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} {\left| b \right|} - 57 \, \sqrt{b d} a^{10} b^{9} c d^{10} {\left| b \right|} + 9 \, \sqrt{b d} a^{11} b^{8} d^{11} {\left| b \right|} - 735 \, \sqrt{b 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^{17} c^{10} {\left| b \right|} + 4550 \, \sqrt{b 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^{16} c^{9} d {\left| b \right|} - 10771 \, \sqrt{b 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^{15} c^{8} d^{2} {\left| b \right|} + 10056 \, \sqrt{b 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^{14} c^{7} d^{3} {\left| b \right|} + 3602 \, \sqrt{b 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^{13} c^{6} d^{4} {\left| b \right|} - 17692 \, \sqrt{b 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^{12} c^{5} d^{5} {\left| b \right|} + 17490 \, \sqrt{b 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^{11} c^{4} d^{6} {\left| b \right|} - 7864 \, \sqrt{b 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^{10} c^{3} d^{7} {\left| b \right|} + 1229 \, \sqrt{b 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^{9} c^{2} d^{8} {\left| b \right|} + 198 \, \sqrt{b 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^{9} b^{8} c d^{9} {\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)}^{2} a^{10} b^{7} d^{10} {\left| b \right|} + 2205 \, \sqrt{b 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^{15} c^{9} {\left| b \right|} - 8155 \, \sqrt{b 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^{14} c^{8} d {\left| b \right|} + 9012 \, \sqrt{b 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^{13} c^{7} d^{2} {\left| b \right|} - 2268 \, \sqrt{b 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^{12} c^{6} d^{3} {\left| b \right|} + 5510 \, \sqrt{b 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^{11} c^{5} d^{4} {\left| b \right|} - 17466 \, \sqrt{b 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^{10} c^{4} d^{5} {\left| b \right|} + 16164 \, \sqrt{b 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^{9} c^{3} d^{6} {\left| b \right|} - 5068 \, \sqrt{b 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^{8} c^{2} d^{7} {\left| b \right|} - 123 \, \sqrt{b 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^{8} b^{7} c 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)}^{4} a^{9} b^{6} d^{9} {\left| b \right|} - 3675 \, \sqrt{b 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^{13} c^{8} {\left| b \right|} + 7000 \, \sqrt{b 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^{12} c^{7} d {\left| b \right|} - 2516 \, \sqrt{b 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^{11} c^{6} d^{2} {\left| b \right|} - 344 \, \sqrt{b 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^{10} c^{5} d^{3} {\left| b \right|} + 4606 \, \sqrt{b 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^{9} c^{4} d^{4} {\left| b \right|} - 12056 \, \sqrt{b 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^{8} c^{3} d^{5} {\left| b \right|} + 7660 \, \sqrt{b 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^{7} c^{2} d^{6} {\left| b \right|} - 360 \, \sqrt{b 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^{7} b^{6} c 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)}^{6} a^{8} b^{5} d^{8} {\left| b \right|} + 3675 \, \sqrt{b 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^{11} c^{7} {\left| b \right|} - 2975 \, \sqrt{b 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^{10} c^{6} d {\left| b \right|} - 485 \, \sqrt{b 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^{9} c^{5} d^{2} {\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)}^{8} a^{3} b^{8} c^{4} d^{3} {\left| b \right|} + 1225 \, \sqrt{b 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^{7} c^{3} d^{4} {\left| b \right|} - 4613 \, \sqrt{b 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^{6} c^{2} d^{5} {\left| b \right|} + 705 \, \sqrt{b 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^{6} b^{5} c 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)}^{8} a^{7} b^{4} d^{7} {\left| b \right|} - 2205 \, \sqrt{b 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^{9} c^{6} {\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)}^{10} a b^{8} c^{5} d {\left| b \right|} + 1581 \, \sqrt{b 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^{7} c^{4} d^{2} {\left| b \right|} + 2052 \, \sqrt{b 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^{6} c^{3} d^{3} {\left| b \right|} + 397 \, \sqrt{b 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^{5} c^{2} d^{4} {\left| b \right|} - 498 \, \sqrt{b 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^{5} b^{4} c d^{5} {\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)}^{10} a^{6} b^{3} d^{6} {\left| b \right|} + 735 \, \sqrt{b 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^{7} c^{5} {\left| b \right|} - 525 \, \sqrt{b 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^{6} c^{4} d {\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)}^{12} a^{2} b^{5} c^{3} d^{2} {\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)}^{12} a^{3} b^{4} c^{2} d^{3} {\left| b \right|} + 147 \, \sqrt{b 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^{4} b^{3} c d^{4} {\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)}^{12} a^{5} b^{2} d^{5} {\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)}^{14} b^{5} c^{4} {\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)}^{14} a b^{4} c^{3} d {\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)}^{14} a^{2} b^{3} c^{2} d^{2} {\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)}^{14} a^{3} b^{2} c d^{3} {\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)}^{14} a^{4} b d^{4} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a^{4} c^{2}}}{192 \, b}"," ",0,"-1/192*(3*(35*sqrt(b*d)*b^5*c^4*abs(b) - 60*sqrt(b*d)*a*b^4*c^3*d*abs(b) + 18*sqrt(b*d)*a^2*b^3*c^2*d^2*abs(b) + 4*sqrt(b*d)*a^3*b^2*c*d^3*abs(b) + 3*sqrt(b*d)*a^4*b*d^4*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^4*b*c^2) - 2*(105*sqrt(b*d)*b^19*c^11*abs(b) - 985*sqrt(b*d)*a*b^18*c^10*d*abs(b) + 4115*sqrt(b*d)*a^2*b^17*c^9*d^2*abs(b) - 10051*sqrt(b*d)*a^3*b^16*c^8*d^3*abs(b) + 15818*sqrt(b*d)*a^4*b^15*c^7*d^4*abs(b) - 16618*sqrt(b*d)*a^5*b^14*c^6*d^5*abs(b) + 11606*sqrt(b*d)*a^6*b^13*c^5*d^6*abs(b) - 5110*sqrt(b*d)*a^7*b^12*c^4*d^7*abs(b) + 1181*sqrt(b*d)*a^8*b^11*c^3*d^8*abs(b) - 13*sqrt(b*d)*a^9*b^10*c^2*d^9*abs(b) - 57*sqrt(b*d)*a^10*b^9*c*d^10*abs(b) + 9*sqrt(b*d)*a^11*b^8*d^11*abs(b) - 735*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^17*c^10*abs(b) + 4550*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^16*c^9*d*abs(b) - 10771*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^15*c^8*d^2*abs(b) + 10056*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^14*c^7*d^3*abs(b) + 3602*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^13*c^6*d^4*abs(b) - 17692*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^12*c^5*d^5*abs(b) + 17490*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^11*c^4*d^6*abs(b) - 7864*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^10*c^3*d^7*abs(b) + 1229*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^9*c^2*d^8*abs(b) + 198*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9*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))^2*a^10*b^7*d^10*abs(b) + 2205*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^15*c^9*abs(b) - 8155*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^14*c^8*d*abs(b) + 9012*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^13*c^7*d^2*abs(b) - 2268*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^12*c^6*d^3*abs(b) + 5510*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^11*c^5*d^4*abs(b) - 17466*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^10*c^4*d^5*abs(b) + 16164*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^9*c^3*d^6*abs(b) - 5068*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^8*c^2*d^7*abs(b) - 123*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*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))^4*a^9*b^6*d^9*abs(b) - 3675*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^13*c^8*abs(b) + 7000*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^12*c^7*d*abs(b) - 2516*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^11*c^6*d^2*abs(b) - 344*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^10*c^5*d^3*abs(b) + 4606*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^9*c^4*d^4*abs(b) - 12056*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^8*c^3*d^5*abs(b) + 7660*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^7*c^2*d^6*abs(b) - 360*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*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))^6*a^8*b^5*d^8*abs(b) + 3675*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^11*c^7*abs(b) - 2975*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^10*c^6*d*abs(b) - 485*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^9*c^5*d^2*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))^8*a^3*b^8*c^4*d^3*abs(b) + 1225*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^7*c^3*d^4*abs(b) - 4613*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^6*c^2*d^5*abs(b) + 705*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^5*c*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))^8*a^7*b^4*d^7*abs(b) - 2205*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^9*c^6*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))^10*a*b^8*c^5*d*abs(b) + 1581*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^7*c^4*d^2*abs(b) + 2052*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^6*c^3*d^3*abs(b) + 397*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^5*c^2*d^4*abs(b) - 498*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*c*d^5*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))^10*a^6*b^3*d^6*abs(b) + 735*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^7*c^5*abs(b) - 525*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^6*c^4*d*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))^12*a^2*b^5*c^3*d^2*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))^12*a^3*b^4*c^2*d^3*abs(b) + 147*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^3*c*d^4*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))^12*a^5*b^2*d^5*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))^14*b^5*c^4*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))^14*a*b^4*c^3*d*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))^14*a^2*b^3*c^2*d^2*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))^14*a^3*b^2*c*d^3*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))^14*a^4*b*d^4*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a^4*c^2))/b","B",0
714,1,885,0,1.641422," ","integrate(x^2*(d*x+c)^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\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|}}{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)} c d {\left| b \right|}}{b^{2}} + \frac{{\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|}}{b^{2}}}{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)/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)/b^2 + (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)/b^2)/b","B",0
715,1,639,0,1.480787," ","integrate(x*(d*x+c)^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\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^{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^{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)} c^{2} {\left| b \right|}}{b^{3}}}{192 \, b}"," ",0,"1/192*(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^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^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))*c^2*abs(b)/b^3)/b","B",0
716,1,446,0,1.354607," ","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
717,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/x/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
718,1,547,0,2.870130," ","integrate((d*x+c)^(5/2)/x^2/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\frac{2 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a} d^{2} {\left| b \right|}}{b^{2}} - \frac{{\left(5 \, \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)}{b^{2}} + \frac{2 \, {\left(\sqrt{b d} b^{2} c^{3} {\left| b \right|} - 5 \, \sqrt{b d} a b c^{2} d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b} - \frac{4 \, {\left(\sqrt{b d} b^{4} c^{4} {\left| b \right|} - 2 \, \sqrt{b d} a b^{3} c^{3} d {\left| b \right|} + \sqrt{b d} a^{2} b^{2} c^{2} d^{2} {\left| b \right|} - \sqrt{b 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^{2} c^{3} {\left| b \right|} - \sqrt{b 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 c^{2} d {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} a}}{2 \, b}"," ",0,"1/2*(2*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*d^2*abs(b)/b^2 - (5*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^2 + 2*(sqrt(b*d)*b^2*c^3*abs(b) - 5*sqrt(b*d)*a*b*c^2*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b) - 4*(sqrt(b*d)*b^4*c^4*abs(b) - 2*sqrt(b*d)*a*b^3*c^3*d*abs(b) + sqrt(b*d)*a^2*b^2*c^2*d^2*abs(b) - sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c^3*abs(b) - 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*c^2*d*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*a))/b","B",0
719,1,1149,0,11.472446," ","integrate((d*x+c)^(5/2)/x^3/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{4 \, \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} + \frac{{\left(3 \, \sqrt{b d} b^{3} c^{3} {\left| b \right|} - 10 \, \sqrt{b d} a b^{2} c^{2} d {\left| b \right|} + 15 \, \sqrt{b d} a^{2} b c d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{9} c^{6} {\left| b \right|} - 21 \, \sqrt{b d} a b^{8} c^{5} d {\left| b \right|} + 54 \, \sqrt{b d} a^{2} b^{7} c^{4} d^{2} {\left| b \right|} - 66 \, \sqrt{b d} a^{3} b^{6} c^{3} d^{3} {\left| b \right|} + 39 \, \sqrt{b d} a^{4} b^{5} c^{2} d^{4} {\left| b \right|} - 9 \, \sqrt{b d} a^{5} b^{4} c d^{5} {\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^{7} c^{5} {\left| b \right|} + 32 \, \sqrt{b 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^{4} d {\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)}^{2} a^{2} b^{5} c^{3} d^{2} {\left| b \right|} - 40 \, \sqrt{b 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^{2} d^{3} {\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)}^{2} a^{4} b^{3} c 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^{5} c^{4} {\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 b^{4} c^{3} d {\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} b^{3} c^{2} d^{2} {\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^{3} b^{2} c 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)}^{6} b^{3} c^{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)}^{6} a b^{2} c^{2} d {\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)}^{6} a^{2} b c d^{2} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a^{2}}}{4 \, b}"," ",0,"-1/4*(4*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 + (3*sqrt(b*d)*b^3*c^3*abs(b) - 10*sqrt(b*d)*a*b^2*c^2*d*abs(b) + 15*sqrt(b*d)*a^2*b*c*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b) - 2*(3*sqrt(b*d)*b^9*c^6*abs(b) - 21*sqrt(b*d)*a*b^8*c^5*d*abs(b) + 54*sqrt(b*d)*a^2*b^7*c^4*d^2*abs(b) - 66*sqrt(b*d)*a^3*b^6*c^3*d^3*abs(b) + 39*sqrt(b*d)*a^4*b^5*c^2*d^4*abs(b) - 9*sqrt(b*d)*a^5*b^4*c*d^5*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^7*c^5*abs(b) + 32*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^4*d*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))^2*a^2*b^5*c^3*d^2*abs(b) - 40*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^2*d^3*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))^2*a^4*b^3*c*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^5*c^4*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*b^4*c^3*d*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*b^3*c^2*d^2*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^3*b^2*c*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))^6*b^3*c^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))^6*a*b^2*c^2*d*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))^6*a^2*b*c*d^2*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a^2))/b","B",0
720,1,2153,0,31.635439," ","integrate((d*x+c)^(5/2)/x^4/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\frac{15 \, {\left(\sqrt{b d} b^{4} c^{3} {\left| b \right|} - 3 \, \sqrt{b d} a b^{3} c^{2} d {\left| b \right|} + 3 \, \sqrt{b d} a^{2} b^{2} c d^{2} {\left| b \right|} - \sqrt{b d} a^{3} b d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{3} b} - \frac{2 \, {\left(15 \, \sqrt{b d} b^{14} c^{8} {\left| b \right|} - 130 \, \sqrt{b d} a b^{13} c^{7} d {\left| b \right|} + 498 \, \sqrt{b d} a^{2} b^{12} c^{6} d^{2} {\left| b \right|} - 1098 \, \sqrt{b d} a^{3} b^{11} c^{5} d^{3} {\left| b \right|} + 1520 \, \sqrt{b d} a^{4} b^{10} c^{4} d^{4} {\left| b \right|} - 1350 \, \sqrt{b d} a^{5} b^{9} c^{3} d^{5} {\left| b \right|} + 750 \, \sqrt{b d} a^{6} b^{8} c^{2} d^{6} {\left| b \right|} - 238 \, \sqrt{b d} a^{7} b^{7} c d^{7} {\left| b \right|} + 33 \, \sqrt{b d} a^{8} b^{6} d^{8} {\left| b \right|} - 75 \, \sqrt{b 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^{7} {\left| b \right|} + 405 \, \sqrt{b 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^{6} d {\left| b \right|} - 783 \, \sqrt{b 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^{5} d^{2} {\left| b \right|} + 417 \, \sqrt{b 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^{4} d^{3} {\left| b \right|} + 687 \, \sqrt{b 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^{3} d^{4} {\left| b \right|} - 1233 \, \sqrt{b 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^{2} d^{5} {\left| b \right|} + 747 \, \sqrt{b 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} c 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^{7} b^{5} d^{7} {\left| b \right|} + 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)}^{4} b^{10} c^{6} {\left| b \right|} - 480 \, \sqrt{b 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^{5} d {\left| b \right|} + 510 \, \sqrt{b 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^{4} d^{2} {\left| b \right|} - 288 \, \sqrt{b 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^{3} d^{3} {\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^{4} b^{6} c^{2} d^{4} {\left| b \right|} - 768 \, \sqrt{b 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} c 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^{6} b^{4} d^{6} {\left| b \right|} - 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)}^{6} b^{8} c^{5} {\left| b \right|} + 310 \, \sqrt{b 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^{4} d {\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^{2} b^{6} c^{3} d^{2} {\left| b \right|} - 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)}^{6} a^{3} b^{5} c^{2} d^{3} {\left| b \right|} + 202 \, \sqrt{b 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} c d^{4} {\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)}^{6} a^{5} b^{3} d^{5} {\left| b \right|} + 75 \, \sqrt{b 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^{4} {\left| b \right|} - 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)}^{8} a b^{5} c^{3} d {\left| b \right|} + 102 \, \sqrt{b 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} c d^{3} {\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)}^{8} a^{4} b^{2} d^{4} {\left| b \right|} - 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)}^{10} b^{4} c^{3} {\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)}^{10} a b^{3} c^{2} d {\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)}^{10} a^{2} b^{2} c d^{2} {\left| b \right|} - 33 \, \sqrt{b 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 d^{3} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a^{3}}}{24 \, b}"," ",0,"1/24*(15*(sqrt(b*d)*b^4*c^3*abs(b) - 3*sqrt(b*d)*a*b^3*c^2*d*abs(b) + 3*sqrt(b*d)*a^2*b^2*c*d^2*abs(b) - sqrt(b*d)*a^3*b*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b) - 2*(15*sqrt(b*d)*b^14*c^8*abs(b) - 130*sqrt(b*d)*a*b^13*c^7*d*abs(b) + 498*sqrt(b*d)*a^2*b^12*c^6*d^2*abs(b) - 1098*sqrt(b*d)*a^3*b^11*c^5*d^3*abs(b) + 1520*sqrt(b*d)*a^4*b^10*c^4*d^4*abs(b) - 1350*sqrt(b*d)*a^5*b^9*c^3*d^5*abs(b) + 750*sqrt(b*d)*a^6*b^8*c^2*d^6*abs(b) - 238*sqrt(b*d)*a^7*b^7*c*d^7*abs(b) + 33*sqrt(b*d)*a^8*b^6*d^8*abs(b) - 75*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^7*abs(b) + 405*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^6*d*abs(b) - 783*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^5*d^2*abs(b) + 417*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^4*d^3*abs(b) + 687*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^3*d^4*abs(b) - 1233*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^2*d^5*abs(b) + 747*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*c*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^7*b^5*d^7*abs(b) + 150*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^6*abs(b) - 480*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^5*d*abs(b) + 510*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^4*d^2*abs(b) - 288*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^3*d^3*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^4*b^6*c^2*d^4*abs(b) - 768*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*c*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^6*b^4*d^6*abs(b) - 150*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^5*abs(b) + 310*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^4*d*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^2*b^6*c^3*d^2*abs(b) - 108*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^2*d^3*abs(b) + 202*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*c*d^4*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))^6*a^5*b^3*d^5*abs(b) + 75*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^4*abs(b) - 150*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^3*d*abs(b) + 102*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*c*d^3*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))^8*a^4*b^2*d^4*abs(b) - 15*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^3*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))^10*a*b^3*c^2*d*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))^10*a^2*b^2*c*d^2*abs(b) - 33*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*d^3*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a^3))/b","B",0
721,1,3834,0,12.102099," ","integrate((d*x+c)^(5/2)/x^5/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(7 \, \sqrt{b d} b^{5} c^{4} {\left| b \right|} - 20 \, \sqrt{b d} a b^{4} c^{3} d {\left| b \right|} + 18 \, \sqrt{b d} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} - 4 \, \sqrt{b d} a^{3} b^{2} c d^{3} {\left| b \right|} - \sqrt{b d} a^{4} b d^{4} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{4} b c} - \frac{2 \, {\left(105 \, \sqrt{b d} b^{19} c^{11} {\left| b \right|} - 1105 \, \sqrt{b d} a b^{18} c^{10} d {\left| b \right|} + 5251 \, \sqrt{b d} a^{2} b^{17} c^{9} d^{2} {\left| b \right|} - 14843 \, \sqrt{b d} a^{3} b^{16} c^{8} d^{3} {\left| b \right|} + 27658 \, \sqrt{b d} a^{4} b^{15} c^{7} d^{4} {\left| b \right|} - 35546 \, \sqrt{b d} a^{5} b^{14} c^{6} d^{5} {\left| b \right|} + 31990 \, \sqrt{b d} a^{6} b^{13} c^{5} d^{6} {\left| b \right|} - 20006 \, \sqrt{b d} a^{7} b^{12} c^{4} d^{7} {\left| b \right|} + 8413 \, \sqrt{b d} a^{8} b^{11} c^{3} d^{8} {\left| b \right|} - 2213 \, \sqrt{b d} a^{9} b^{10} c^{2} d^{9} {\left| b \right|} + 311 \, \sqrt{b d} a^{10} b^{9} c d^{10} {\left| b \right|} - 15 \, \sqrt{b d} a^{11} b^{8} d^{11} {\left| b \right|} - 735 \, \sqrt{b 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^{17} c^{10} {\left| b \right|} + 5390 \, \sqrt{b 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^{16} c^{9} d {\left| b \right|} - 16043 \, \sqrt{b 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^{15} c^{8} d^{2} {\left| b \right|} + 22760 \, \sqrt{b 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^{14} c^{7} d^{3} {\left| b \right|} - 8782 \, \sqrt{b 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^{13} c^{6} d^{4} {\left| b \right|} - 20780 \, \sqrt{b 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^{12} c^{5} d^{5} {\left| b \right|} + 37250 \, \sqrt{b 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^{11} c^{4} d^{6} {\left| b \right|} - 28312 \, \sqrt{b 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^{10} c^{3} d^{7} {\left| b \right|} + 11245 \, \sqrt{b 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^{9} c^{2} d^{8} {\left| b \right|} - 2098 \, \sqrt{b 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^{9} b^{8} c d^{9} {\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)}^{2} a^{10} b^{7} d^{10} {\left| b \right|} + 2205 \, \sqrt{b 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^{15} c^{9} {\left| b \right|} - 10675 \, \sqrt{b 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^{14} c^{8} d {\left| b \right|} + 18548 \, \sqrt{b 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^{13} c^{7} d^{2} {\left| b \right|} - 13212 \, \sqrt{b 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^{12} c^{6} d^{3} {\left| b \right|} + 8198 \, \sqrt{b 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^{11} c^{5} d^{4} {\left| b \right|} - 21802 \, \sqrt{b 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^{10} c^{4} d^{5} {\left| b \right|} + 32868 \, \sqrt{b 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^{9} c^{3} d^{6} {\left| b \right|} - 21580 \, \sqrt{b 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^{8} c^{2} d^{7} {\left| b \right|} + 5765 \, \sqrt{b 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^{8} b^{7} c d^{8} {\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)}^{4} a^{9} b^{6} d^{9} {\left| b \right|} - 3675 \, \sqrt{b 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^{13} c^{8} {\left| b \right|} + 11200 \, \sqrt{b 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^{12} c^{7} d {\left| b \right|} - 10876 \, \sqrt{b 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^{11} c^{6} d^{2} {\left| b \right|} + 2960 \, \sqrt{b 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^{10} c^{5} d^{3} {\left| b \right|} + 4118 \, \sqrt{b 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^{9} c^{4} d^{4} {\left| b \right|} - 14752 \, \sqrt{b 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^{8} c^{3} d^{5} {\left| b \right|} + 18740 \, \sqrt{b 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^{7} c^{2} d^{6} {\left| b \right|} - 8240 \, \sqrt{b 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^{7} b^{6} c d^{7} {\left| b \right|} + 525 \, \sqrt{b 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^{8} b^{5} d^{8} {\left| b \right|} + 3675 \, \sqrt{b 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^{11} c^{7} {\left| b \right|} - 7175 \, \sqrt{b 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^{10} c^{6} d {\left| b \right|} + 3275 \, \sqrt{b 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^{9} c^{5} d^{2} {\left| b \right|} + 625 \, \sqrt{b 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^{8} c^{4} d^{3} {\left| b \right|} + 1513 \, \sqrt{b 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^{7} c^{3} d^{4} {\left| b \right|} - 5725 \, \sqrt{b 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^{6} c^{2} d^{5} {\left| b \right|} + 6385 \, \sqrt{b 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^{6} b^{5} c d^{6} {\left| b \right|} - 525 \, \sqrt{b 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^{7} b^{4} d^{7} {\left| b \right|} - 2205 \, \sqrt{b 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^{9} c^{6} {\left| b \right|} + 3430 \, \sqrt{b 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^{8} c^{5} d {\left| b \right|} + 325 \, \sqrt{b 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^{7} c^{4} 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)}^{10} a^{3} b^{6} c^{3} d^{3} {\left| b \right|} - 1667 \, \sqrt{b 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^{5} c^{2} d^{4} {\left| b \right|} - 2426 \, \sqrt{b 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^{5} b^{4} 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^{6} b^{3} d^{6} {\left| b \right|} + 735 \, \sqrt{b 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^{7} c^{5} {\left| b \right|} - 1365 \, \sqrt{b 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^{6} c^{4} d {\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} a^{2} b^{5} c^{3} d^{2} {\left| b \right|} + 1470 \, \sqrt{b 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^{4} c^{2} d^{3} {\left| b \right|} + 243 \, \sqrt{b 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^{4} b^{3} 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^{5} b^{2} d^{5} {\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)}^{14} b^{5} c^{4} {\left| b \right|} + 300 \, \sqrt{b 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^{4} c^{3} d {\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)}^{14} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} + 60 \, \sqrt{b 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^{3} b^{2} c d^{3} {\left| b \right|} + 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)}^{14} a^{4} b d^{4} {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a^{4} c}}{192 \, b}"," ",0,"-1/192*(15*(7*sqrt(b*d)*b^5*c^4*abs(b) - 20*sqrt(b*d)*a*b^4*c^3*d*abs(b) + 18*sqrt(b*d)*a^2*b^3*c^2*d^2*abs(b) - 4*sqrt(b*d)*a^3*b^2*c*d^3*abs(b) - sqrt(b*d)*a^4*b*d^4*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^4*b*c) - 2*(105*sqrt(b*d)*b^19*c^11*abs(b) - 1105*sqrt(b*d)*a*b^18*c^10*d*abs(b) + 5251*sqrt(b*d)*a^2*b^17*c^9*d^2*abs(b) - 14843*sqrt(b*d)*a^3*b^16*c^8*d^3*abs(b) + 27658*sqrt(b*d)*a^4*b^15*c^7*d^4*abs(b) - 35546*sqrt(b*d)*a^5*b^14*c^6*d^5*abs(b) + 31990*sqrt(b*d)*a^6*b^13*c^5*d^6*abs(b) - 20006*sqrt(b*d)*a^7*b^12*c^4*d^7*abs(b) + 8413*sqrt(b*d)*a^8*b^11*c^3*d^8*abs(b) - 2213*sqrt(b*d)*a^9*b^10*c^2*d^9*abs(b) + 311*sqrt(b*d)*a^10*b^9*c*d^10*abs(b) - 15*sqrt(b*d)*a^11*b^8*d^11*abs(b) - 735*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^17*c^10*abs(b) + 5390*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^16*c^9*d*abs(b) - 16043*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^15*c^8*d^2*abs(b) + 22760*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^14*c^7*d^3*abs(b) - 8782*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^13*c^6*d^4*abs(b) - 20780*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^12*c^5*d^5*abs(b) + 37250*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^11*c^4*d^6*abs(b) - 28312*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^10*c^3*d^7*abs(b) + 11245*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^9*c^2*d^8*abs(b) - 2098*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^8*c*d^9*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))^2*a^10*b^7*d^10*abs(b) + 2205*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^15*c^9*abs(b) - 10675*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^14*c^8*d*abs(b) + 18548*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^13*c^7*d^2*abs(b) - 13212*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^12*c^6*d^3*abs(b) + 8198*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^11*c^5*d^4*abs(b) - 21802*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^10*c^4*d^5*abs(b) + 32868*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^9*c^3*d^6*abs(b) - 21580*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^8*c^2*d^7*abs(b) + 5765*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^7*c*d^8*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))^4*a^9*b^6*d^9*abs(b) - 3675*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^13*c^8*abs(b) + 11200*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^12*c^7*d*abs(b) - 10876*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^11*c^6*d^2*abs(b) + 2960*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^10*c^5*d^3*abs(b) + 4118*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^9*c^4*d^4*abs(b) - 14752*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^8*c^3*d^5*abs(b) + 18740*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^7*c^2*d^6*abs(b) - 8240*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^6*c*d^7*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^5*d^8*abs(b) + 3675*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^11*c^7*abs(b) - 7175*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^10*c^6*d*abs(b) + 3275*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^9*c^5*d^2*abs(b) + 625*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^8*c^4*d^3*abs(b) + 1513*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^7*c^3*d^4*abs(b) - 5725*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^6*c^2*d^5*abs(b) + 6385*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^5*c*d^6*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^4*d^7*abs(b) - 2205*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^9*c^6*abs(b) + 3430*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^8*c^5*d*abs(b) + 325*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^7*c^4*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))^10*a^3*b^6*c^3*d^3*abs(b) - 1667*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^5*c^2*d^4*abs(b) - 2426*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*b^4*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^6*b^3*d^6*abs(b) + 735*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*b^7*c^5*abs(b) - 1365*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^6*c^4*d*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*a^2*b^5*c^3*d^2*abs(b) + 1470*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^4*c^2*d^3*abs(b) + 243*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*b^3*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^5*b^2*d^5*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))^14*b^5*c^4*abs(b) + 300*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^4*c^3*d*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))^14*a^2*b^3*c^2*d^2*abs(b) + 60*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b^2*c*d^3*abs(b) + 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*b*d^4*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a^4*c))/b","B",0
722,-1,0,0,0.000000," ","integrate((d*x+c)^(5/2)/x^6/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
723,1,59,0,1.260587," ","integrate(x^4*(1+x)^(3/2)/(1-x)^(1/2),x, algorithm=""giac"")","-\frac{1}{240} \, {\left({\left(2 \, {\left({\left(4 \, {\left(5 \, x - 8\right)} {\left(x + 1\right)} + 63\right)} {\left(x + 1\right)} - 13\right)} {\left(x + 1\right)} + 55\right)} {\left(x + 1\right)} + 165\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{11}{8} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/240*((2*((4*(5*x - 8)*(x + 1) + 63)*(x + 1) - 13)*(x + 1) + 55)*(x + 1) + 165)*sqrt(x + 1)*sqrt(-x + 1) + 11/8*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
724,1,52,0,1.442190," ","integrate(x^3*(1+x)^(3/2)/(1-x)^(1/2),x, algorithm=""giac"")","-\frac{1}{20} \, {\left({\left(2 \, {\left({\left(2 \, x - 1\right)} {\left(x + 1\right)} + 3\right)} {\left(x + 1\right)} + 5\right)} {\left(x + 1\right)} + 15\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{3}{2} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/20*((2*((2*x - 1)*(x + 1) + 3)*(x + 1) + 5)*(x + 1) + 15)*sqrt(x + 1)*sqrt(-x + 1) + 3/2*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
725,1,46,0,1.078685," ","integrate(x^2*(1+x)^(3/2)/(1-x)^(1/2),x, algorithm=""giac"")","-\frac{1}{24} \, {\left({\left(2 \, {\left(3 \, x + 2\right)} {\left(x + 1\right)} + 7\right)} {\left(x + 1\right)} + 21\right)} \sqrt{x + 1} \sqrt{-x + 1} + \frac{7}{4} \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/24*((2*(3*x + 2)*(x + 1) + 7)*(x + 1) + 21)*sqrt(x + 1)*sqrt(-x + 1) + 7/4*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
726,1,37,0,1.127813," ","integrate(x*(1+x)^(3/2)/(1-x)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, {\left({\left(x + 2\right)} {\left(x + 1\right)} + 3\right)} \sqrt{x + 1} \sqrt{-x + 1} + 2 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/3*((x + 2)*(x + 1) + 3)*sqrt(x + 1)*sqrt(-x + 1) + 2*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
727,1,31,0,1.102814," ","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
728,-2,0,0,0.000000," ","integrate((1+x)^(3/2)/x/(1-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,-4,0,%%%{4,[2]%%%}] at parameters values [-93.616423693]Warning, choosing root of [1,0,-4,0,%%%{4,[2]%%%}] at parameters values [-17.8804557086]-4*(-1/2*pi-atan(sqrt(x+1)*((-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^2-1)/(-2*sqrt(-x+1)+2*sqrt(2))))-ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))+2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))+ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))-sqrt(x+1)*sqrt(-x+1)","F(-2)",0
729,-2,0,0,0.000000," ","integrate((1+x)^(3/2)/x^2/(1-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,-4,0,%%%{4,[2]%%%}] at parameters values [-93.616423693]Warning, choosing root of [1,0,-4,0,%%%{4,[2]%%%}] at parameters values [-17.8804557086]-4*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))/(-(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^2+4)-2*(-1/2*pi-atan(sqrt(x+1)*((-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^2-1)/(-2*sqrt(-x+1)+2*sqrt(2))))-2*ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))+2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))+2*ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))","F(-2)",0
730,-2,0,0,0.000000," ","integrate((1+x)^(3/2)/x^3/(1-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,-4,0,%%%{4,[2]%%%}] at parameters values [-93.616423693]Warning, choosing root of [1,0,-4,0,%%%{4,[2]%%%}] at parameters values [-17.8804557086]-(-6*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^3+40*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))/((2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^2-4)^2-3/2*ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))+2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))+3/2*ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))","F(-2)",0
731,-2,0,0,0.000000," ","integrate((1+x)^(3/2)/x^4/(1-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,-4,0,%%%{4,[2]%%%}] at parameters values [-93.616423693]Warning, choosing root of [1,0,-4,0,%%%{4,[2]%%%}] at parameters values [-17.8804557086]1/3*(12*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^5-128*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^3+576*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))/((2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^2-4)^3-ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))+2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))+ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))","F(-2)",0
732,-2,0,0,0.000000," ","integrate((1+x)^(3/2)/x^5/(1-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,-4,0,%%%{4,[2]%%%}] at parameters values [-93.616423693]Warning, choosing root of [1,0,-4,0,%%%{4,[2]%%%}] at parameters values [-17.8804557086]1/6*(21*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^7-308*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^5+1328*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^3-4800*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))/((2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^2-4)^4-7/8*ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))+2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))+7/8*ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))","F(-2)",0
733,1,215,0,1.168419," ","integrate(x^3/(b*x+a)^(1/2)/(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^{4} d} - \frac{5 \, b^{12} c d^{3} + 13 \, a b^{11} d^{4}}{b^{15} d^{5}}\right)} + \frac{3 \, {\left(5 \, b^{13} c^{2} d^{2} + 8 \, a b^{12} c d^{3} + 11 \, a^{2} b^{11} d^{4}\right)}}{b^{15} d^{5}}\right)} + \frac{3 \, {\left(5 \, b^{3} c^{3} + 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^{3} 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^4*d) - (5*b^12*c*d^3 + 13*a*b^11*d^4)/(b^15*d^5)) + 3*(5*b^13*c^2*d^2 + 8*a*b^12*c*d^3 + 11*a^2*b^11*d^4)/(b^15*d^5)) + 3*(5*b^3*c^3 + 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^3*d^3))*b/abs(b)","A",0
734,1,150,0,1.134189," ","integrate(x^2/(b*x+a)^(1/2)/(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^{3} d} - \frac{3 \, b^{6} c d + 5 \, a b^{5} d^{2}}{b^{8} d^{3}}\right)} - \frac{{\left(3 \, b^{2} c^{2} + 2 \, a b c d + 3 \, 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} b^{2} 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^3*d) - (3*b^6*c*d + 5*a*b^5*d^2)/(b^8*d^3)) - (3*b^2*c^2 + 2*a*b*c*d + 3*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)*b^2*d^2))*b/abs(b)","A",0
735,1,95,0,1.282745," ","integrate(x/(b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{\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}}{{\left| b \right|}}"," ",0,"((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
736,1,50,0,1.015227," ","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
737,1,85,0,1.027676," ","integrate(1/x/(b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b d} b \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} {\left| b \right|}}"," ",0,"-2*sqrt(b*d)*b*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*abs(b))","B",0
738,1,388,0,1.215795," ","integrate(1/x^2/(b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{b d} b^{4} d {\left(\frac{{\left(b c + a d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b^{3} c d} - \frac{2 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2} - {\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 c - {\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 d\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} a b^{2} c d}\right)}}{{\left| b \right|}}"," ",0,"sqrt(b*d)*b^4*d*((b*c + a*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b^3*c*d) - 2*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2 - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b*c - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*d)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*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*c*d))/abs(b)","B",0
739,1,951,0,3.196695," ","integrate(1/x^3/(b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{b d} b^{6} d^{2} {\left(\frac{{\left(3 \, b^{2} c^{2} + 2 \, a b c d + 3 \, a^{2} d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b^{5} c^{2} d^{2}} - \frac{2 \, {\left(3 \, b^{8} c^{5} - 9 \, a b^{7} c^{4} d + 6 \, a^{2} b^{6} c^{3} d^{2} + 6 \, a^{3} b^{5} c^{2} d^{3} - 9 \, a^{4} b^{4} c d^{4} + 3 \, a^{5} b^{3} d^{5} - 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^{4} - 4 \, {\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^{3} d + 26 \, {\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^{2} d^{2} - 4 \, {\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} c d^{3} - 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^{4} b^{2} 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)}^{4} b^{4} c^{3} + 15 \, {\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^{2} d + 15 \, {\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} 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)}^{4} a^{3} b d^{3} - 3 \, {\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^{2} - 2 \, {\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 c 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)}^{6} a^{2} d^{2}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a^{2} b^{4} c^{2} d^{2}}\right)}}{4 \, {\left| b \right|}}"," ",0,"-1/4*sqrt(b*d)*b^6*d^2*((3*b^2*c^2 + 2*a*b*c*d + 3*a^2*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b^5*c^2*d^2) - 2*(3*b^8*c^5 - 9*a*b^7*c^4*d + 6*a^2*b^6*c^3*d^2 + 6*a^3*b^5*c^2*d^3 - 9*a^4*b^4*c*d^4 + 3*a^5*b^3*d^5 - 9*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^6*c^4 - 4*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^5*c^3*d + 26*(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^2*d^2 - 4*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^3*b^3*c*d^3 - 9*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^2*d^4 + 9*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^4*c^3 + 15*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^3*c^2*d + 15*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^2*b^2*c*d^2 + 9*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b*d^3 - 3*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^2*c^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b*c*d - 3*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*d^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a^2*b^4*c^2*d^2))/abs(b)","B",0
740,1,1932,0,30.544986," ","integrate(1/x^4/(b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{b d} b^{8} d^{3} {\left(\frac{3 \, {\left(5 \, b^{3} c^{3} + 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} + 5 \, a^{3} d^{3}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{3} b^{7} c^{3} d^{3}} - \frac{2 \, {\left(15 \, b^{13} c^{8} - 76 \, a b^{12} c^{7} d + 156 \, a^{2} b^{11} c^{6} d^{2} - 180 \, a^{3} b^{10} c^{5} d^{3} + 170 \, a^{4} b^{9} c^{4} d^{4} - 180 \, a^{5} b^{8} c^{3} d^{5} + 156 \, a^{6} b^{7} c^{2} d^{6} - 76 \, a^{7} b^{6} c d^{7} + 15 \, a^{8} b^{5} d^{8} - 75 \, {\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^{7} + 135 \, {\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^{6} d + 45 \, {\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^{5} d^{2} - 105 \, {\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^{4} d^{3} - 105 \, {\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} c^{3} d^{4} + 45 \, {\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^{6} c^{2} d^{5} + 135 \, {\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^{5} c d^{6} - 75 \, {\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^{4} d^{7} + 150 \, {\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^{6} + 60 \, {\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^{5} d + 42 \, {\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^{4} d^{2} - 504 \, {\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} c^{3} d^{3} + 42 \, {\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^{5} c^{2} d^{4} + 60 \, {\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^{4} c d^{5} + 150 \, {\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^{3} d^{6} - 150 \, {\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^{5} - 230 \, {\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^{4} d - 324 \, {\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} c^{3} d^{2} - 324 \, {\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^{4} c^{2} d^{3} - 230 \, {\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^{3} c d^{4} - 150 \, {\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^{2} d^{5} + 75 \, {\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^{4} + 120 \, {\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} c^{3} d + 90 \, {\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^{3} c^{2} d^{2} + 120 \, {\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^{2} c d^{3} + 75 \, {\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 d^{4} - 15 \, {\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} c^{3} - 9 \, {\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^{2} c^{2} d - 9 \, {\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 c d^{2} - 15 \, {\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} d^{3}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a^{3} b^{6} c^{3} d^{3}}\right)}}{24 \, {\left| b \right|}}"," ",0,"1/24*sqrt(b*d)*b^8*d^3*(3*(5*b^3*c^3 + 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 + 5*a^3*d^3)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b^7*c^3*d^3) - 2*(15*b^13*c^8 - 76*a*b^12*c^7*d + 156*a^2*b^11*c^6*d^2 - 180*a^3*b^10*c^5*d^3 + 170*a^4*b^9*c^4*d^4 - 180*a^5*b^8*c^3*d^5 + 156*a^6*b^7*c^2*d^6 - 76*a^7*b^6*c*d^7 + 15*a^8*b^5*d^8 - 75*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^11*c^7 + 135*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b^10*c^6*d + 45*(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^5*d^2 - 105*(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^4*d^3 - 105*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^4*b^7*c^3*d^4 + 45*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^5*b^6*c^2*d^5 + 135*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^6*b^5*c*d^6 - 75*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^7*b^4*d^7 + 150*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^9*c^6 + 60*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b^8*c^5*d + 42*(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^4*d^2 - 504*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^3*b^6*c^3*d^3 + 42*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^4*b^5*c^2*d^4 + 60*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^5*b^4*c*d^5 + 150*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^6*b^3*d^6 - 150*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*b^7*c^5 - 230*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a*b^6*c^4*d - 324*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^2*b^5*c^3*d^2 - 324*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^3*b^4*c^2*d^3 - 230*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^4*b^3*c*d^4 - 150*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^5*b^2*d^5 + 75*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*b^5*c^4 + 120*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a*b^4*c^3*d + 90*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^2*b^3*c^2*d^2 + 120*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^3*b^2*c*d^3 + 75*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^4*b*d^4 - 15*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*b^3*c^3 - 9*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a*b^2*c^2*d - 9*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^2*b*c*d^2 - 15*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^3*d^3)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a^3*b^6*c^3*d^3))/abs(b)","B",0
741,1,305,0,1.541706," ","integrate(x^3/(d*x+c)^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{{\left({\left(b x + a\right)} {\left(\frac{2 \, {\left(b^{6} c d^{4} {\left| b \right|} - a b^{5} d^{5} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{9} c d^{5} - a b^{8} d^{6}} - \frac{5 \, b^{7} c^{2} d^{3} {\left| b \right|} + 2 \, a b^{6} c d^{4} {\left| b \right|} - 7 \, a^{2} b^{5} d^{5} {\left| b \right|}}{b^{9} c d^{5} - a b^{8} d^{6}}\right)} - \frac{15 \, b^{8} c^{3} d^{2} {\left| b \right|} - 9 \, a b^{7} c^{2} d^{3} {\left| b \right|} - 3 \, a^{2} b^{6} c d^{4} {\left| b \right|} + 5 \, a^{3} b^{5} d^{5} {\left| b \right|}}{b^{9} c d^{5} - a b^{8} d^{6}}\right)} \sqrt{b x + a}}{4 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{3 \, {\left(5 \, b^{2} c^{2} {\left| b \right|} + 2 \, a b c d {\left| b \right|} + 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|}\right)}{4 \, \sqrt{b d} b^{3} d^{3}}"," ",0,"1/4*((b*x + a)*(2*(b^6*c*d^4*abs(b) - a*b^5*d^5*abs(b))*(b*x + a)/(b^9*c*d^5 - a*b^8*d^6) - (5*b^7*c^2*d^3*abs(b) + 2*a*b^6*c*d^4*abs(b) - 7*a^2*b^5*d^5*abs(b))/(b^9*c*d^5 - a*b^8*d^6)) - (15*b^8*c^3*d^2*abs(b) - 9*a*b^7*c^2*d^3*abs(b) - 3*a^2*b^6*c*d^4*abs(b) + 5*a^3*b^5*d^5*abs(b))/(b^9*c*d^5 - a*b^8*d^6))*sqrt(b*x + a)/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) - 3/4*(5*b^2*c^2*abs(b) + 2*a*b*c*d*abs(b) + a^2*d^2*abs(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)*b^3*d^3)","B",0
742,1,193,0,1.242223," ","integrate(x^2/(d*x+c)^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{b x + a} {\left(\frac{{\left(b^{3} c d^{2} - a b^{2} d^{3}\right)} {\left(b x + a\right)}}{b^{3} c d^{3} {\left| b \right|} - a b^{2} d^{4} {\left| b \right|}} + \frac{3 \, b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}}{b^{3} c d^{3} {\left| b \right|} - a b^{2} d^{4} {\left| b \right|}}\right)}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} + \frac{{\left(3 \, 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^{2} {\left| b \right|}}"," ",0,"sqrt(b*x + a)*((b^3*c*d^2 - a*b^2*d^3)*(b*x + a)/(b^3*c*d^3*abs(b) - a*b^2*d^4*abs(b)) + (3*b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3)/(b^3*c*d^3*abs(b) - a*b^2*d^4*abs(b)))/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) + (3*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^2*abs(b))","B",0
743,1,108,0,1.257181," ","integrate(x/(d*x+c)^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{\sqrt{b x + a} b^{3} c {\left| b \right|}}{{\left(b^{3} c d - a b^{2} d^{2}\right)} \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} + \frac{{\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|}\right)}{\sqrt{b d} d}\right)}}{b}"," ",0,"-2*(sqrt(b*x + a)*b^3*c*abs(b)/((b^3*c*d - a*b^2*d^2)*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) + abs(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)*d))/b","A",0
744,1,47,0,1.226126," ","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
745,1,140,0,1.101374," ","integrate(1/x/(d*x+c)^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} b^{2} d}{{\left(b c^{2} {\left| b \right|} - a c d {\left| b \right|}\right)} \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{2 \, \sqrt{b d} b \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} c {\left| b \right|}}"," ",0,"-2*sqrt(b*x + a)*b^2*d/((b*c^2*abs(b) - a*c*d*abs(b))*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) - 2*sqrt(b*d)*b*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*c*abs(b))","B",0
746,1,476,0,3.987228," ","integrate(1/x^2/(d*x+c)^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} b^{2} d^{2}}{{\left(b c^{3} {\left| b \right|} - a c^{2} d {\left| b \right|}\right)} \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} + \frac{{\left(\sqrt{b d} b^{3} c + 3 \, \sqrt{b d} a b^{2} d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b c^{2} {\left| b \right|}} - \frac{2 \, {\left(\sqrt{b d} b^{5} c^{2} - 2 \, \sqrt{b d} a b^{4} c d + \sqrt{b d} a^{2} b^{3} d^{2} - \sqrt{b 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 - \sqrt{b 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} d\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} a c^{2} {\left| b \right|}}"," ",0,"2*sqrt(b*x + a)*b^2*d^2/((b*c^3*abs(b) - a*c^2*d*abs(b))*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) + (sqrt(b*d)*b^3*c + 3*sqrt(b*d)*a*b^2*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^2*abs(b)) - 2*(sqrt(b*d)*b^5*c^2 - 2*sqrt(b*d)*a*b^4*c*d + sqrt(b*d)*a^2*b^3*d^2 - 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 - 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*d)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*a*c^2*abs(b))","B",0
747,1,1105,0,8.901687," ","integrate(1/x^3/(d*x+c)^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} b^{2} d^{3}}{{\left(b c^{4} {\left| b \right|} - a c^{3} d {\left| b \right|}\right)} \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{3 \, {\left(\sqrt{b d} b^{4} c^{2} + 2 \, \sqrt{b d} a b^{3} c d + 5 \, \sqrt{b d} a^{2} b^{2} d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} a^{2} b c^{3} {\left| b \right|}} + \frac{3 \, \sqrt{b d} b^{10} c^{5} - 5 \, \sqrt{b d} a b^{9} c^{4} d - 10 \, \sqrt{b d} a^{2} b^{8} c^{3} d^{2} + 30 \, \sqrt{b d} a^{3} b^{7} c^{2} d^{3} - 25 \, \sqrt{b d} a^{4} b^{6} c d^{4} + 7 \, \sqrt{b d} a^{5} b^{5} d^{5} - 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^{8} c^{4} - 16 \, \sqrt{b 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 + 38 \, \sqrt{b 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^{2} + 8 \, \sqrt{b 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^{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^{4} b^{4} d^{4} + 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^{6} c^{3} + 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 b^{5} c^{2} d + 23 \, \sqrt{b 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^{2} + 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^{3} b^{3} 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)}^{6} b^{4} c^{2} - 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)}^{6} a b^{3} c d - 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)}^{6} a^{2} b^{2} d^{2}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a^{2} c^{3} {\left| b \right|}}"," ",0,"-2*sqrt(b*x + a)*b^2*d^3/((b*c^4*abs(b) - a*c^3*d*abs(b))*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) - 3/4*(sqrt(b*d)*b^4*c^2 + 2*sqrt(b*d)*a*b^3*c*d + 5*sqrt(b*d)*a^2*b^2*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c^3*abs(b)) + 1/2*(3*sqrt(b*d)*b^10*c^5 - 5*sqrt(b*d)*a*b^9*c^4*d - 10*sqrt(b*d)*a^2*b^8*c^3*d^2 + 30*sqrt(b*d)*a^3*b^7*c^2*d^3 - 25*sqrt(b*d)*a^4*b^6*c*d^4 + 7*sqrt(b*d)*a^5*b^5*d^5 - 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^8*c^4 - 16*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 + 38*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^2 + 8*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^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^4*b^4*d^4 + 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^6*c^3 + 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*b^5*c^2*d + 23*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^2 + 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^3*b^3*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))^6*b^4*c^2 - 6*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 - 7*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^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a^2*c^3*abs(b))","B",0
748,1,508,0,1.562695," ","integrate(x^4/(d*x+c)^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{{\left({\left(3 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(b^{7} c^{2} d^{6} - 2 \, a b^{6} c d^{7} + a^{2} b^{5} d^{8}\right)} {\left(b x + a\right)}}{b^{7} c^{2} d^{7} {\left| b \right|} - 2 \, a b^{6} c d^{8} {\left| b \right|} + a^{2} b^{5} d^{9} {\left| b \right|}} - \frac{7 \, b^{8} c^{3} d^{5} - 5 \, a b^{7} c^{2} d^{6} - 11 \, a^{2} b^{6} c d^{7} + 9 \, a^{3} b^{5} d^{8}}{b^{7} c^{2} d^{7} {\left| b \right|} - 2 \, a b^{6} c d^{8} {\left| b \right|} + a^{2} b^{5} d^{9} {\left| b \right|}}\right)} - \frac{4 \, {\left(35 \, b^{9} c^{4} d^{4} - 60 \, a b^{8} c^{3} d^{5} + 18 \, a^{2} b^{7} c^{2} d^{6} + 12 \, a^{3} b^{6} c d^{7} - 9 \, a^{4} b^{5} d^{8}\right)}}{b^{7} c^{2} d^{7} {\left| b \right|} - 2 \, a b^{6} c d^{8} {\left| b \right|} + a^{2} b^{5} d^{9} {\left| b \right|}}\right)} {\left(b x + a\right)} - \frac{3 \, {\left(35 \, b^{10} c^{5} d^{3} - 95 \, a b^{9} c^{4} d^{4} + 78 \, a^{2} b^{8} c^{3} d^{5} - 14 \, a^{3} b^{7} c^{2} d^{6} - 9 \, a^{4} b^{6} c d^{7} + 5 \, a^{5} b^{5} d^{8}\right)}}{b^{7} c^{2} d^{7} {\left| b \right|} - 2 \, a b^{6} c d^{8} {\left| b \right|} + a^{2} b^{5} d^{9} {\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{{\left(35 \, b^{2} c^{2} + 10 \, a b c d + 3 \, 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)}{4 \, \sqrt{b d} b d^{4} {\left| b \right|}}"," ",0,"1/12*((3*(b*x + a)*(2*(b^7*c^2*d^6 - 2*a*b^6*c*d^7 + a^2*b^5*d^8)*(b*x + a)/(b^7*c^2*d^7*abs(b) - 2*a*b^6*c*d^8*abs(b) + a^2*b^5*d^9*abs(b)) - (7*b^8*c^3*d^5 - 5*a*b^7*c^2*d^6 - 11*a^2*b^6*c*d^7 + 9*a^3*b^5*d^8)/(b^7*c^2*d^7*abs(b) - 2*a*b^6*c*d^8*abs(b) + a^2*b^5*d^9*abs(b))) - 4*(35*b^9*c^4*d^4 - 60*a*b^8*c^3*d^5 + 18*a^2*b^7*c^2*d^6 + 12*a^3*b^6*c*d^7 - 9*a^4*b^5*d^8)/(b^7*c^2*d^7*abs(b) - 2*a*b^6*c*d^8*abs(b) + a^2*b^5*d^9*abs(b)))*(b*x + a) - 3*(35*b^10*c^5*d^3 - 95*a*b^9*c^4*d^4 + 78*a^2*b^8*c^3*d^5 - 14*a^3*b^7*c^2*d^6 - 9*a^4*b^6*c*d^7 + 5*a^5*b^5*d^8)/(b^7*c^2*d^7*abs(b) - 2*a*b^6*c*d^8*abs(b) + a^2*b^5*d^9*abs(b)))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 1/4*(35*b^2*c^2 + 10*a*b*c*d + 3*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)*b*d^4*abs(b))","B",0
749,1,373,0,1.622114," ","integrate(x^3/(d*x+c)^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{{\left({\left(b x + a\right)} {\left(\frac{3 \, {\left(b^{6} c^{2} d^{4} {\left| b \right|} - 2 \, a b^{5} c d^{5} {\left| b \right|} + a^{2} b^{4} d^{6} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{7} c^{2} d^{5} - 2 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}} + \frac{2 \, {\left(10 \, b^{7} c^{3} d^{3} {\left| b \right|} - 18 \, a b^{6} c^{2} d^{4} {\left| b \right|} + 9 \, a^{2} b^{5} c d^{5} {\left| b \right|} - 3 \, a^{3} b^{4} d^{6} {\left| b \right|}\right)}}{b^{7} c^{2} d^{5} - 2 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}}\right)} + \frac{3 \, {\left(5 \, b^{8} c^{4} d^{2} {\left| b \right|} - 14 \, a b^{7} c^{3} d^{3} {\left| b \right|} + 12 \, a^{2} b^{6} c^{2} d^{4} {\left| b \right|} - 4 \, a^{3} b^{5} c d^{5} {\left| b \right|} + a^{4} b^{4} d^{6} {\left| b \right|}\right)}}{b^{7} c^{2} d^{5} - 2 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}}\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{{\left(5 \, b c {\left| b \right|} + 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|}\right)}{\sqrt{b d} b^{2} d^{3}}"," ",0,"1/3*((b*x + a)*(3*(b^6*c^2*d^4*abs(b) - 2*a*b^5*c*d^5*abs(b) + a^2*b^4*d^6*abs(b))*(b*x + a)/(b^7*c^2*d^5 - 2*a*b^6*c*d^6 + a^2*b^5*d^7) + 2*(10*b^7*c^3*d^3*abs(b) - 18*a*b^6*c^2*d^4*abs(b) + 9*a^2*b^5*c*d^5*abs(b) - 3*a^3*b^4*d^6*abs(b))/(b^7*c^2*d^5 - 2*a*b^6*c*d^6 + a^2*b^5*d^7)) + 3*(5*b^8*c^4*d^2*abs(b) - 14*a*b^7*c^3*d^3*abs(b) + 12*a^2*b^6*c^2*d^4*abs(b) - 4*a^3*b^5*c*d^5*abs(b) + a^4*b^4*d^6*abs(b))/(b^7*c^2*d^5 - 2*a*b^6*c*d^6 + a^2*b^5*d^7))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + (5*b*c*abs(b) + a*d*abs(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)*b^2*d^3)","B",0
750,1,227,0,1.327969," ","integrate(x^2/(d*x+c)^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{2 \, {\left(2 \, b^{6} c^{2} d^{2} - 3 \, a b^{5} c d^{3}\right)} {\left(b x + a\right)}}{b^{4} c^{2} d^{3} {\left| b \right|} - 2 \, a b^{3} c d^{4} {\left| b \right|} + a^{2} b^{2} d^{5} {\left| b \right|}} + \frac{3 \, {\left(b^{7} c^{3} d - 3 \, a b^{6} c^{2} d^{2} + 2 \, a^{2} b^{5} c d^{3}\right)}}{b^{4} c^{2} d^{3} {\left| b \right|} - 2 \, a b^{3} c d^{4} {\left| b \right|} + a^{2} b^{2} d^{5} {\left| b \right|}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \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} d^{2} {\left| b \right|}}"," ",0,"-2/3*sqrt(b*x + a)*(2*(2*b^6*c^2*d^2 - 3*a*b^5*c*d^3)*(b*x + a)/(b^4*c^2*d^3*abs(b) - 2*a*b^3*c*d^4*abs(b) + a^2*b^2*d^5*abs(b)) + 3*(b^7*c^3*d - 3*a*b^6*c^2*d^2 + 2*a^2*b^5*c*d^3)/(b^4*c^2*d^3*abs(b) - 2*a*b^3*c*d^4*abs(b) + a^2*b^2*d^5*abs(b)))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 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)*d^2*abs(b))","B",0
751,1,147,0,1.535102," ","integrate(x/(d*x+c)^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(b^{5} c d {\left| b \right|} - 3 \, a b^{4} d^{2} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}} - \frac{3 \, {\left(a b^{5} c d {\left| b \right|} - a^{2} b^{4} d^{2} {\left| b \right|}\right)}}{b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}} b}"," ",0,"2/3*sqrt(b*x + a)*((b^5*c*d*abs(b) - 3*a*b^4*d^2*abs(b))*(b*x + a)/(b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3) - 3*(a*b^5*c*d*abs(b) - a^2*b^4*d^2*abs(b))/(b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3))/((b^2*c + (b*x + a)*b*d - a*b*d)^(3/2)*b)","B",0
752,1,126,0,1.118745," ","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
753,1,271,0,1.300930," ","integrate(1/x/(d*x+c)^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(5 \, b^{4} c^{3} d^{3} {\left| b \right|} - 3 \, a b^{3} c^{2} d^{4} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{4} c^{6} d - 2 \, a b^{3} c^{5} d^{2} + a^{2} b^{2} c^{4} d^{3}} + \frac{3 \, {\left(2 \, b^{5} c^{4} d^{2} {\left| b \right|} - 3 \, a b^{4} c^{3} d^{3} {\left| b \right|} + a^{2} b^{3} c^{2} d^{4} {\left| b \right|}\right)}}{b^{4} c^{6} d - 2 \, a b^{3} c^{5} d^{2} + a^{2} b^{2} c^{4} d^{3}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{2 \, \sqrt{b d} b \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} c^{2} {\left| b \right|}}"," ",0,"-2/3*sqrt(b*x + a)*((5*b^4*c^3*d^3*abs(b) - 3*a*b^3*c^2*d^4*abs(b))*(b*x + a)/(b^4*c^6*d - 2*a*b^3*c^5*d^2 + a^2*b^2*c^4*d^3) + 3*(2*b^5*c^4*d^2*abs(b) - 3*a*b^4*c^3*d^3*abs(b) + a^2*b^3*c^2*d^4*abs(b))/(b^4*c^6*d - 2*a*b^3*c^5*d^2 + a^2*b^2*c^4*d^3))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 2*sqrt(b*d)*b*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*c^2*abs(b))","B",0
754,1,605,0,4.799029," ","integrate(1/x^2/(d*x+c)^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{2 \, {\left(4 \, b^{4} c^{4} d^{4} {\left| b \right|} - 3 \, a b^{3} c^{3} d^{5} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{4} c^{8} d - 2 \, a b^{3} c^{7} d^{2} + a^{2} b^{2} c^{6} d^{3}} + \frac{3 \, {\left(3 \, b^{5} c^{5} d^{3} {\left| b \right|} - 5 \, a b^{4} c^{4} d^{4} {\left| b \right|} + 2 \, a^{2} b^{3} c^{3} d^{5} {\left| b \right|}\right)}}{b^{4} c^{8} d - 2 \, a b^{3} c^{7} d^{2} + a^{2} b^{2} c^{6} d^{3}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} + \frac{{\left(\sqrt{b d} b^{3} c + 5 \, \sqrt{b d} a b^{2} d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a b c^{3} {\left| b \right|}} - \frac{2 \, {\left(\sqrt{b d} b^{5} c^{2} - 2 \, \sqrt{b d} a b^{4} c d + \sqrt{b d} a^{2} b^{3} d^{2} - \sqrt{b 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 - \sqrt{b 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} d\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} a c^{3} {\left| b \right|}}"," ",0,"2/3*sqrt(b*x + a)*(2*(4*b^4*c^4*d^4*abs(b) - 3*a*b^3*c^3*d^5*abs(b))*(b*x + a)/(b^4*c^8*d - 2*a*b^3*c^7*d^2 + a^2*b^2*c^6*d^3) + 3*(3*b^5*c^5*d^3*abs(b) - 5*a*b^4*c^4*d^4*abs(b) + 2*a^2*b^3*c^3*d^5*abs(b))/(b^4*c^8*d - 2*a*b^3*c^7*d^2 + a^2*b^2*c^6*d^3))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + (sqrt(b*d)*b^3*c + 5*sqrt(b*d)*a*b^2*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*b*c^3*abs(b)) - 2*(sqrt(b*d)*b^5*c^2 - 2*sqrt(b*d)*a*b^4*c*d + sqrt(b*d)*a^2*b^3*d^2 - 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 - 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*d)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*a*c^3*abs(b))","B",0
755,1,1234,0,7.175641," ","integrate(1/x^3/(d*x+c)^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(11 \, b^{4} c^{5} d^{5} {\left| b \right|} - 9 \, a b^{3} c^{4} d^{6} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{4} c^{10} d - 2 \, a b^{3} c^{9} d^{2} + a^{2} b^{2} c^{8} d^{3}} + \frac{3 \, {\left(4 \, b^{5} c^{6} d^{4} {\left| b \right|} - 7 \, a b^{4} c^{5} d^{5} {\left| b \right|} + 3 \, a^{2} b^{3} c^{4} d^{6} {\left| b \right|}\right)}}{b^{4} c^{10} d - 2 \, a b^{3} c^{9} d^{2} + a^{2} b^{2} c^{8} d^{3}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{{\left(3 \, \sqrt{b d} b^{4} c^{2} + 10 \, \sqrt{b d} a b^{3} c d + 35 \, \sqrt{b d} a^{2} b^{2} d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} a^{2} b c^{4} {\left| b \right|}} + \frac{3 \, \sqrt{b d} b^{10} c^{5} - \sqrt{b d} a b^{9} c^{4} d - 26 \, \sqrt{b d} a^{2} b^{8} c^{3} d^{2} + 54 \, \sqrt{b d} a^{3} b^{7} c^{2} d^{3} - 41 \, \sqrt{b d} a^{4} b^{6} c d^{4} + 11 \, \sqrt{b d} a^{5} b^{5} d^{5} - 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^{8} c^{4} - 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 + 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^{2} b^{6} c^{2} d^{2} + 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)}^{2} a^{3} b^{5} c d^{3} - 33 \, \sqrt{b 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^{4} + 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^{6} c^{3} + 39 \, \sqrt{b 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 + 31 \, \sqrt{b 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^{2} + 33 \, \sqrt{b 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^{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)}^{6} b^{4} c^{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)}^{6} a b^{3} c d - 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)}^{6} a^{2} b^{2} d^{2}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a^{2} c^{4} {\left| b \right|}}"," ",0,"-2/3*sqrt(b*x + a)*((11*b^4*c^5*d^5*abs(b) - 9*a*b^3*c^4*d^6*abs(b))*(b*x + a)/(b^4*c^10*d - 2*a*b^3*c^9*d^2 + a^2*b^2*c^8*d^3) + 3*(4*b^5*c^6*d^4*abs(b) - 7*a*b^4*c^5*d^5*abs(b) + 3*a^2*b^3*c^4*d^6*abs(b))/(b^4*c^10*d - 2*a*b^3*c^9*d^2 + a^2*b^2*c^8*d^3))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 1/4*(3*sqrt(b*d)*b^4*c^2 + 10*sqrt(b*d)*a*b^3*c*d + 35*sqrt(b*d)*a^2*b^2*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c^4*abs(b)) + 1/2*(3*sqrt(b*d)*b^10*c^5 - sqrt(b*d)*a*b^9*c^4*d - 26*sqrt(b*d)*a^2*b^8*c^3*d^2 + 54*sqrt(b*d)*a^3*b^7*c^2*d^3 - 41*sqrt(b*d)*a^4*b^6*c*d^4 + 11*sqrt(b*d)*a^5*b^5*d^5 - 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^8*c^4 - 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 + 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^2*b^6*c^2*d^2 + 20*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^3 - 33*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^4 + 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^6*c^3 + 39*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 + 31*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^2 + 33*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^3 - 3*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 - 10*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 - 11*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^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a^2*c^4*abs(b))","B",0
756,1,35,0,1.108524," ","integrate(1/x/(c*x)^(1/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} b^{2}}{\sqrt{{\left(b x + a\right)} b c - a b c} a {\left| b \right|}}"," ",0,"-2*sqrt(b*x + a)*b^2/(sqrt((b*x + a)*b*c - a*b*c)*a*abs(b))","B",0
757,1,65,0,1.262343," ","integrate(1/x/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{-c} \arctan\left(\frac{{\left(\sqrt{-b c x + a c} \sqrt{-c} - \sqrt{2 \, a c^{2} + {\left(b c x - a c\right)} c}\right)}^{2}}{2 \, a c^{2}}\right)}{a {\left| c \right|}}"," ",0,"-2*sqrt(-c)*arctan(1/2*(sqrt(-b*c*x + a*c)*sqrt(-c) - sqrt(2*a*c^2 + (b*c*x - a*c)*c))^2/(a*c^2))/(a*abs(c))","A",0
758,-2,0,0,0.000000," ","integrate(1/x/(-b*x-a+1)^(1/2)/(b*x+a+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Undef/Unsigned Inf encountered in limit"Limit: Max order reached or unable to make series expansion Error: Bad Argument Value"","F(-2)",0
759,1,438,0,2.514961," ","integrate(x^3*(d*x+c)^(3/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{1}{64} \, \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{2 \, {\left(b x + a\right)} d {\left| b \right|}}{b^{7}} + \frac{3 \, b^{28} c d^{6} {\left| b \right|} - 11 \, a b^{27} d^{7} {\left| b \right|}}{b^{34} d^{6}}\right)} + \frac{b^{29} c^{2} d^{5} {\left| b \right|} - 58 \, a b^{28} c d^{6} {\left| b \right|} + 105 \, a^{2} b^{27} d^{7} {\left| b \right|}}{b^{34} d^{6}}\right)} - \frac{3 \, b^{30} c^{3} d^{4} {\left| b \right|} + 15 \, a b^{29} c^{2} d^{5} {\left| b \right|} - 279 \, a^{2} b^{28} c d^{6} {\left| b \right|} + 325 \, a^{3} b^{27} d^{7} {\left| b \right|}}{b^{34} d^{6}}\right)} \sqrt{b x + a} + \frac{4 \, {\left(\sqrt{b d} a^{3} b^{2} c^{2} {\left| b \right|} - 2 \, \sqrt{b d} a^{4} b c d {\left| b \right|} + \sqrt{b d} a^{5} 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^{6}} - \frac{3 \, {\left(\sqrt{b d} b^{4} c^{4} {\left| b \right|} + 4 \, \sqrt{b d} a b^{3} c^{3} d {\left| b \right|} + 30 \, \sqrt{b d} a^{2} b^{2} c^{2} d^{2} {\left| b \right|} - 140 \, \sqrt{b d} a^{3} b c d^{3} {\left| b \right|} + 105 \, \sqrt{b d} a^{4} d^{4} {\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)}{128 \, b^{7} d^{3}}"," ",0,"1/64*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(b*x + a)*(4*(b*x + a)*(2*(b*x + a)*d*abs(b)/b^7 + (3*b^28*c*d^6*abs(b) - 11*a*b^27*d^7*abs(b))/(b^34*d^6)) + (b^29*c^2*d^5*abs(b) - 58*a*b^28*c*d^6*abs(b) + 105*a^2*b^27*d^7*abs(b))/(b^34*d^6)) - (3*b^30*c^3*d^4*abs(b) + 15*a*b^29*c^2*d^5*abs(b) - 279*a^2*b^28*c*d^6*abs(b) + 325*a^3*b^27*d^7*abs(b))/(b^34*d^6))*sqrt(b*x + a) + 4*(sqrt(b*d)*a^3*b^2*c^2*abs(b) - 2*sqrt(b*d)*a^4*b*c*d*abs(b) + sqrt(b*d)*a^5*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^6) - 3/128*(sqrt(b*d)*b^4*c^4*abs(b) + 4*sqrt(b*d)*a*b^3*c^3*d*abs(b) + 30*sqrt(b*d)*a^2*b^2*c^2*d^2*abs(b) - 140*sqrt(b*d)*a^3*b*c*d^3*abs(b) + 105*sqrt(b*d)*a^4*d^4*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^7*d^3)","A",0
760,1,347,0,1.925879," ","integrate(x^2*(d*x+c)^(3/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{1}{24} \, \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)} d {\left| b \right|}}{b^{6}} + \frac{7 \, b^{18} c d^{4} {\left| b \right|} - 19 \, a b^{17} d^{5} {\left| b \right|}}{b^{23} d^{4}}\right)} + \frac{3 \, {\left(b^{19} c^{2} d^{3} {\left| b \right|} - 22 \, a b^{18} c d^{4} {\left| b \right|} + 29 \, a^{2} b^{17} d^{5} {\left| b \right|}\right)}}{b^{23} d^{4}}\right)} - \frac{4 \, {\left(\sqrt{b d} a^{2} b^{2} c^{2} {\left| b \right|} - 2 \, \sqrt{b d} a^{3} b c d {\left| b \right|} + \sqrt{b d} a^{4} 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^{5}} + \frac{{\left(\sqrt{b d} b^{3} c^{3} {\left| b \right|} + 9 \, \sqrt{b d} a b^{2} c^{2} d {\left| b \right|} - 45 \, \sqrt{b d} a^{2} b c d^{2} {\left| b \right|} + 35 \, \sqrt{b d} a^{3} d^{3} {\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)}{16 \, b^{6} d^{2}}"," ",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)*d*abs(b)/b^6 + (7*b^18*c*d^4*abs(b) - 19*a*b^17*d^5*abs(b))/(b^23*d^4)) + 3*(b^19*c^2*d^3*abs(b) - 22*a*b^18*c*d^4*abs(b) + 29*a^2*b^17*d^5*abs(b))/(b^23*d^4)) - 4*(sqrt(b*d)*a^2*b^2*c^2*abs(b) - 2*sqrt(b*d)*a^3*b*c*d*abs(b) + sqrt(b*d)*a^4*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^5) + 1/16*(sqrt(b*d)*b^3*c^3*abs(b) + 9*sqrt(b*d)*a*b^2*c^2*d*abs(b) - 45*sqrt(b*d)*a^2*b*c*d^2*abs(b) + 35*sqrt(b*d)*a^3*d^3*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^6*d^2)","A",0
761,1,270,0,1.730917," ","integrate(x*(d*x+c)^(3/2)/(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 {\left| b \right|}}{b^{5}} + \frac{5 \, b^{10} c d^{2} {\left| b \right|} - 9 \, a b^{9} d^{3} {\left| b \right|}}{b^{14} d^{2}}\right)} + \frac{4 \, {\left(\sqrt{b d} a b^{2} c^{2} {\left| b \right|} - 2 \, \sqrt{b d} a^{2} b c d {\left| b \right|} + \sqrt{b d} a^{3} 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^{4}} - \frac{3 \, {\left(\sqrt{b d} b^{2} c^{2} {\left| b \right|} - 6 \, \sqrt{b d} a b c d {\left| b \right|} + 5 \, \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} d}"," ",0,"1/4*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a)*(2*(b*x + a)*d*abs(b)/b^5 + (5*b^10*c*d^2*abs(b) - 9*a*b^9*d^3*abs(b))/(b^14*d^2)) + 4*(sqrt(b*d)*a*b^2*c^2*abs(b) - 2*sqrt(b*d)*a^2*b*c*d*abs(b) + sqrt(b*d)*a^3*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^4) - 3/8*(sqrt(b*d)*b^2*c^2*abs(b) - 6*sqrt(b*d)*a*b*c*d*abs(b) + 5*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*d)","A",0
762,1,204,0,1.582806," ","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
763,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/x/(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:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
764,1,904,0,6.410369," ","integrate((d*x+c)^(3/2)/x^2/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{3 \, {\left(\sqrt{b d} b c^{2} {\left| b \right|} - \sqrt{b d} a c d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{6} c^{4} {\left| b \right|} - 11 \, \sqrt{b d} a b^{5} c^{3} d {\left| b \right|} + 15 \, \sqrt{b d} a^{2} b^{4} c^{2} d^{2} {\left| b \right|} - 9 \, \sqrt{b d} a^{3} b^{3} c d^{3} {\left| b \right|} + 2 \, \sqrt{b d} a^{4} b^{2} d^{4} {\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} b^{4} c^{3} {\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^{3} c^{2} d {\left| b \right|} + 4 \, \sqrt{b 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^{2} {\left| b \right|} - 4 \, \sqrt{b 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^{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^{2} c^{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)}^{4} a b c d {\left| b \right|} + 2 \, \sqrt{b 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^{2} {\left| b \right|}\right)}}{{\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} - 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} b^{4} c^{2} + 2 \, {\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 + {\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} + 3 \, {\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 + {\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 - {\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)} a^{2} b}"," ",0,"3*(sqrt(b*d)*b*c^2*abs(b) - sqrt(b*d)*a*c*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b) - 2*(3*sqrt(b*d)*b^6*c^4*abs(b) - 11*sqrt(b*d)*a*b^5*c^3*d*abs(b) + 15*sqrt(b*d)*a^2*b^4*c^2*d^2*abs(b) - 9*sqrt(b*d)*a^3*b^3*c*d^3*abs(b) + 2*sqrt(b*d)*a^4*b^2*d^4*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*b^4*c^3*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^3*c^2*d*abs(b) + 4*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^2*abs(b) - 4*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^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^2*c^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))^4*a*b*c*d*abs(b) + 2*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^2*abs(b))/((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 - 3*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^4*c^2 + 2*(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 + (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 + 3*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^2*c + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*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)","B",0
765,1,1167,0,21.752169," ","integrate((d*x+c)^(3/2)/x^3/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{3 \, {\left(5 \, \sqrt{b d} b^{2} c^{2} {\left| b \right|} - 6 \, \sqrt{b d} a b c d {\left| b \right|} + \sqrt{b d} a^{2} d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} a^{3} b} + \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)} a^{3}} + \frac{7 \, \sqrt{b d} b^{8} c^{5} {\left| b \right|} - 33 \, \sqrt{b d} a b^{7} c^{4} d {\left| b \right|} + 62 \, \sqrt{b d} a^{2} b^{6} c^{3} d^{2} {\left| b \right|} - 58 \, \sqrt{b d} a^{3} b^{5} c^{2} d^{3} {\left| b \right|} + 27 \, \sqrt{b d} a^{4} b^{4} c d^{4} {\left| b \right|} - 5 \, \sqrt{b d} a^{5} b^{3} d^{5} {\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)}^{2} b^{6} c^{4} {\left| b \right|} + 32 \, \sqrt{b 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^{5} c^{3} d {\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)}^{2} a^{2} b^{4} c^{2} d^{2} {\left| b \right|} - 40 \, \sqrt{b 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^{3} c d^{3} {\left| b \right|} + 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)}^{2} a^{4} b^{2} d^{4} {\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^{4} c^{3} {\left| b \right|} - \sqrt{b 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^{2} d {\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)}^{4} a^{2} b^{2} c d^{2} {\left| b \right|} - 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)}^{4} a^{3} b d^{3} {\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)}^{6} b^{2} c^{2} {\left| b \right|} + 2 \, \sqrt{b 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 c d {\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)}^{6} a^{2} d^{2} {\left| b \right|}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a^{3}}"," ",0,"-3/4*(5*sqrt(b*d)*b^2*c^2*abs(b) - 6*sqrt(b*d)*a*b*c*d*abs(b) + sqrt(b*d)*a^2*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b) + 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)*a^3) + 1/2*(7*sqrt(b*d)*b^8*c^5*abs(b) - 33*sqrt(b*d)*a*b^7*c^4*d*abs(b) + 62*sqrt(b*d)*a^2*b^6*c^3*d^2*abs(b) - 58*sqrt(b*d)*a^3*b^5*c^2*d^3*abs(b) + 27*sqrt(b*d)*a^4*b^4*c*d^4*abs(b) - 5*sqrt(b*d)*a^5*b^3*d^5*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))^2*b^6*c^4*abs(b) + 32*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^5*c^3*d*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))^2*a^2*b^4*c^2*d^2*abs(b) - 40*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^3*c*d^3*abs(b) + 15*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^2*d^4*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^4*c^3*abs(b) - 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^2*d*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))^4*a^2*b^2*c*d^2*abs(b) - 15*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*d^3*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))^6*b^2*c^2*abs(b) + 2*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*c*d*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))^6*a^2*d^2*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a^3)","B",0
766,1,2310,0,77.959319," ","integrate((d*x+c)^(3/2)/x^4/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{4 \, {\left(\sqrt{b d} b^{3} c^{2} {\left| b \right|} - 2 \, \sqrt{b d} a b^{2} c d {\left| b \right|} + \sqrt{b d} a^{2} b 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)} a^{4}} + \frac{{\left(35 \, \sqrt{b d} b^{3} c^{3} {\left| b \right|} - 45 \, \sqrt{b d} a b^{2} c^{2} d {\left| b \right|} + 9 \, \sqrt{b d} a^{2} b c d^{2} {\left| b \right|} + \sqrt{b d} a^{3} d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{8 \, \sqrt{-a b c d} a^{4} b c} - \frac{57 \, \sqrt{b d} b^{13} c^{8} {\left| b \right|} - 394 \, \sqrt{b d} a b^{12} c^{7} d {\left| b \right|} + 1170 \, \sqrt{b d} a^{2} b^{11} c^{6} d^{2} {\left| b \right|} - 1938 \, \sqrt{b d} a^{3} b^{10} c^{5} d^{3} {\left| b \right|} + 1940 \, \sqrt{b d} a^{4} b^{9} c^{4} d^{4} {\left| b \right|} - 1182 \, \sqrt{b d} a^{5} b^{8} c^{3} d^{5} {\left| b \right|} + 414 \, \sqrt{b d} a^{6} b^{7} c^{2} d^{6} {\left| b \right|} - 70 \, \sqrt{b d} a^{7} b^{6} c d^{7} {\left| b \right|} + 3 \, \sqrt{b d} a^{8} b^{5} d^{8} {\left| b \right|} - 285 \, \sqrt{b 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^{7} {\left| b \right|} + 1071 \, \sqrt{b 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^{6} d {\left| b \right|} - 1161 \, \sqrt{b 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^{5} d^{2} {\left| b \right|} - 381 \, \sqrt{b 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^{4} d^{3} {\left| b \right|} + 1689 \, \sqrt{b 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} c^{3} d^{4} {\left| b \right|} - 1251 \, \sqrt{b 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^{6} c^{2} d^{5} {\left| b \right|} + 333 \, \sqrt{b 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^{5} c d^{6} {\left| b \right|} - 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)}^{2} a^{7} b^{4} d^{7} {\left| b \right|} + 570 \, \sqrt{b 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^{6} {\left| b \right|} - 888 \, \sqrt{b 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^{5} d {\left| b \right|} + 138 \, \sqrt{b 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^{4} d^{2} {\left| b \right|} - 432 \, \sqrt{b 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} c^{3} d^{3} {\left| b \right|} + 1182 \, \sqrt{b 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^{5} c^{2} d^{4} {\left| b \right|} - 600 \, \sqrt{b 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^{4} c d^{5} {\left| b \right|} + 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)}^{4} a^{6} b^{3} d^{6} {\left| b \right|} - 570 \, \sqrt{b 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^{5} {\left| b \right|} + 178 \, \sqrt{b 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^{4} d {\left| b \right|} - 60 \, \sqrt{b 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} c^{3} d^{2} {\left| b \right|} - 276 \, \sqrt{b 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^{4} c^{2} d^{3} {\left| b \right|} + 502 \, \sqrt{b 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^{3} c d^{4} {\left| b \right|} - 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^{5} b^{2} d^{5} {\left| b \right|} + 285 \, \sqrt{b 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^{4} {\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)}^{8} a b^{4} c^{3} d {\left| b \right|} - 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)}^{8} a^{2} b^{3} c^{2} d^{2} {\left| b \right|} - 186 \, \sqrt{b 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^{2} c d^{3} {\left| b \right|} + 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)}^{8} a^{4} b d^{4} {\left| b \right|} - 57 \, \sqrt{b 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} c^{3} {\left| b \right|} + 39 \, \sqrt{b 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^{2} c^{2} d {\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)}^{10} a^{2} b 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)}^{10} a^{3} d^{3} {\left| b \right|}}{12 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a^{4} c}"," ",0,"-4*(sqrt(b*d)*b^3*c^2*abs(b) - 2*sqrt(b*d)*a*b^2*c*d*abs(b) + sqrt(b*d)*a^2*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)*a^4) + 1/8*(35*sqrt(b*d)*b^3*c^3*abs(b) - 45*sqrt(b*d)*a*b^2*c^2*d*abs(b) + 9*sqrt(b*d)*a^2*b*c*d^2*abs(b) + sqrt(b*d)*a^3*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^4*b*c) - 1/12*(57*sqrt(b*d)*b^13*c^8*abs(b) - 394*sqrt(b*d)*a*b^12*c^7*d*abs(b) + 1170*sqrt(b*d)*a^2*b^11*c^6*d^2*abs(b) - 1938*sqrt(b*d)*a^3*b^10*c^5*d^3*abs(b) + 1940*sqrt(b*d)*a^4*b^9*c^4*d^4*abs(b) - 1182*sqrt(b*d)*a^5*b^8*c^3*d^5*abs(b) + 414*sqrt(b*d)*a^6*b^7*c^2*d^6*abs(b) - 70*sqrt(b*d)*a^7*b^6*c*d^7*abs(b) + 3*sqrt(b*d)*a^8*b^5*d^8*abs(b) - 285*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^7*abs(b) + 1071*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^6*d*abs(b) - 1161*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^5*d^2*abs(b) - 381*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^4*d^3*abs(b) + 1689*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*c^3*d^4*abs(b) - 1251*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^6*c^2*d^5*abs(b) + 333*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^5*c*d^6*abs(b) - 15*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^4*d^7*abs(b) + 570*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^6*abs(b) - 888*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^5*d*abs(b) + 138*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^4*d^2*abs(b) - 432*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*c^3*d^3*abs(b) + 1182*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^5*c^2*d^4*abs(b) - 600*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^4*c*d^5*abs(b) + 30*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^3*d^6*abs(b) - 570*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^5*abs(b) + 178*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^4*d*abs(b) - 60*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*c^3*d^2*abs(b) - 276*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^4*c^2*d^3*abs(b) + 502*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^3*c*d^4*abs(b) - 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^5*b^2*d^5*abs(b) + 285*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^4*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))^8*a*b^4*c^3*d*abs(b) - 108*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^3*c^2*d^2*abs(b) - 186*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^2*c*d^3*abs(b) + 15*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*d^4*abs(b) - 57*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*c^3*abs(b) + 39*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^2*c^2*d*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))^10*a^2*b*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))^10*a^3*d^3*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a^4*c)","B",0
767,1,570,0,3.135475," ","integrate(x^3*(d*x+c)^(5/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{1}{640} \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(2 \, {\left(b x + a\right)} {\left(\frac{8 \, {\left(b x + a\right)} d^{2} {\left| b \right|}}{b^{8}} + \frac{3 \, {\left(7 \, b^{40} c d^{9} {\left| b \right|} - 17 \, a b^{39} d^{10} {\left| b \right|}\right)}}{b^{47} d^{8}}\right)} + \frac{31 \, b^{41} c^{2} d^{8} {\left| b \right|} - 232 \, a b^{40} c d^{9} {\left| b \right|} + 281 \, a^{2} b^{39} d^{10} {\left| b \right|}}{b^{47} d^{8}}\right)} + \frac{5 \, {\left(b^{42} c^{3} d^{7} {\left| b \right|} - 121 \, a b^{41} c^{2} d^{8} {\left| b \right|} + 447 \, a^{2} b^{40} c d^{9} {\left| b \right|} - 359 \, a^{3} b^{39} d^{10} {\left| b \right|}\right)}}{b^{47} d^{8}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(b^{43} c^{4} d^{6} {\left| b \right|} + 6 \, a b^{42} c^{3} d^{7} {\left| b \right|} - 200 \, a^{2} b^{41} c^{2} d^{8} {\left| b \right|} + 474 \, a^{3} b^{40} c d^{9} {\left| b \right|} - 281 \, a^{4} b^{39} d^{10} {\left| b \right|}\right)}}{b^{47} d^{8}}\right)} \sqrt{b x + a} + \frac{4 \, {\left(\sqrt{b d} a^{3} b^{3} c^{3} {\left| b \right|} - 3 \, \sqrt{b d} a^{4} b^{2} c^{2} d {\left| b \right|} + 3 \, \sqrt{b d} a^{5} b c d^{2} {\left| b \right|} - \sqrt{b d} a^{6} 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^{7}} - \frac{3 \, {\left(\sqrt{b d} b^{5} c^{5} {\left| b \right|} + 5 \, \sqrt{b d} a b^{4} c^{4} d {\left| b \right|} + 50 \, \sqrt{b d} a^{2} b^{3} c^{3} d^{2} {\left| b \right|} - 350 \, \sqrt{b d} a^{3} b^{2} c^{2} d^{3} {\left| b \right|} + 525 \, \sqrt{b d} a^{4} b c d^{4} {\left| b \right|} - 231 \, \sqrt{b d} a^{5} d^{5} {\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)}{256 \, b^{8} d^{3}}"," ",0,"1/640*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*(4*(b*x + a)*(2*(b*x + a)*(8*(b*x + a)*d^2*abs(b)/b^8 + 3*(7*b^40*c*d^9*abs(b) - 17*a*b^39*d^10*abs(b))/(b^47*d^8)) + (31*b^41*c^2*d^8*abs(b) - 232*a*b^40*c*d^9*abs(b) + 281*a^2*b^39*d^10*abs(b))/(b^47*d^8)) + 5*(b^42*c^3*d^7*abs(b) - 121*a*b^41*c^2*d^8*abs(b) + 447*a^2*b^40*c*d^9*abs(b) - 359*a^3*b^39*d^10*abs(b))/(b^47*d^8))*(b*x + a) - 15*(b^43*c^4*d^6*abs(b) + 6*a*b^42*c^3*d^7*abs(b) - 200*a^2*b^41*c^2*d^8*abs(b) + 474*a^3*b^40*c*d^9*abs(b) - 281*a^4*b^39*d^10*abs(b))/(b^47*d^8))*sqrt(b*x + a) + 4*(sqrt(b*d)*a^3*b^3*c^3*abs(b) - 3*sqrt(b*d)*a^4*b^2*c^2*d*abs(b) + 3*sqrt(b*d)*a^5*b*c*d^2*abs(b) - sqrt(b*d)*a^6*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^7) - 3/256*(sqrt(b*d)*b^5*c^5*abs(b) + 5*sqrt(b*d)*a*b^4*c^4*d*abs(b) + 50*sqrt(b*d)*a^2*b^3*c^3*d^2*abs(b) - 350*sqrt(b*d)*a^3*b^2*c^2*d^3*abs(b) + 525*sqrt(b*d)*a^4*b*c*d^4*abs(b) - 231*sqrt(b*d)*a^5*d^5*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^8*d^3)","A",0
768,1,463,0,2.258455," ","integrate(x^2*(d*x+c)^(5/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{1}{192} \, \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)} d^{2} {\left| b \right|}}{b^{7}} + \frac{17 \, b^{28} c d^{7} {\left| b \right|} - 33 \, a b^{27} d^{8} {\left| b \right|}}{b^{34} d^{6}}\right)} + \frac{59 \, b^{29} c^{2} d^{6} {\left| b \right|} - 326 \, a b^{28} c d^{7} {\left| b \right|} + 315 \, a^{2} b^{27} d^{8} {\left| b \right|}}{b^{34} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{30} c^{3} d^{5} {\left| b \right|} - 191 \, a b^{29} c^{2} d^{6} {\left| b \right|} + 511 \, a^{2} b^{28} c d^{7} {\left| b \right|} - 325 \, a^{3} b^{27} d^{8} {\left| b \right|}\right)}}{b^{34} d^{6}}\right)} \sqrt{b x + a} - \frac{4 \, {\left(\sqrt{b d} a^{2} b^{3} c^{3} {\left| b \right|} - 3 \, \sqrt{b d} a^{3} b^{2} c^{2} d {\left| b \right|} + 3 \, \sqrt{b d} a^{4} b c d^{2} {\left| b \right|} - \sqrt{b d} a^{5} 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^{6}} + \frac{5 \, {\left(\sqrt{b d} b^{4} c^{4} {\left| b \right|} + 12 \, \sqrt{b d} a b^{3} c^{3} d {\left| b \right|} - 90 \, \sqrt{b d} a^{2} b^{2} c^{2} d^{2} {\left| b \right|} + 140 \, \sqrt{b d} a^{3} b c d^{3} {\left| b \right|} - 63 \, \sqrt{b d} a^{4} d^{4} {\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)}{128 \, b^{7} d^{2}}"," ",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)*d^2*abs(b)/b^7 + (17*b^28*c*d^7*abs(b) - 33*a*b^27*d^8*abs(b))/(b^34*d^6)) + (59*b^29*c^2*d^6*abs(b) - 326*a*b^28*c*d^7*abs(b) + 315*a^2*b^27*d^8*abs(b))/(b^34*d^6)) + 3*(5*b^30*c^3*d^5*abs(b) - 191*a*b^29*c^2*d^6*abs(b) + 511*a^2*b^28*c*d^7*abs(b) - 325*a^3*b^27*d^8*abs(b))/(b^34*d^6))*sqrt(b*x + a) - 4*(sqrt(b*d)*a^2*b^3*c^3*abs(b) - 3*sqrt(b*d)*a^3*b^2*c^2*d*abs(b) + 3*sqrt(b*d)*a^4*b*c*d^2*abs(b) - sqrt(b*d)*a^5*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^6) + 5/128*(sqrt(b*d)*b^4*c^4*abs(b) + 12*sqrt(b*d)*a*b^3*c^3*d*abs(b) - 90*sqrt(b*d)*a^2*b^2*c^2*d^2*abs(b) + 140*sqrt(b*d)*a^3*b*c*d^3*abs(b) - 63*sqrt(b*d)*a^4*d^4*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^7*d^2)","A",0
769,1,370,0,2.089490," ","integrate(x*(d*x+c)^(5/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{1}{24} \, \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)} d^{2} {\left| b \right|}}{b^{6}} + \frac{13 \, b^{18} c d^{5} {\left| b \right|} - 19 \, a b^{17} d^{6} {\left| b \right|}}{b^{23} d^{4}}\right)} + \frac{3 \, {\left(11 \, b^{19} c^{2} d^{4} {\left| b \right|} - 40 \, a b^{18} c d^{5} {\left| b \right|} + 29 \, a^{2} b^{17} d^{6} {\left| b \right|}\right)}}{b^{23} d^{4}}\right)} + \frac{4 \, {\left(\sqrt{b d} a b^{3} c^{3} {\left| b \right|} - 3 \, \sqrt{b d} a^{2} b^{2} c^{2} d {\left| b \right|} + 3 \, \sqrt{b d} a^{3} b c d^{2} {\left| b \right|} - \sqrt{b d} a^{4} 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^{5}} - \frac{5 \, {\left(\sqrt{b d} b^{3} c^{3} {\left| b \right|} - 9 \, \sqrt{b d} a b^{2} c^{2} d {\left| b \right|} + 15 \, \sqrt{b d} a^{2} b c d^{2} {\left| b \right|} - 7 \, \sqrt{b d} a^{3} d^{3} {\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)}{16 \, b^{6} d}"," ",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)*d^2*abs(b)/b^6 + (13*b^18*c*d^5*abs(b) - 19*a*b^17*d^6*abs(b))/(b^23*d^4)) + 3*(11*b^19*c^2*d^4*abs(b) - 40*a*b^18*c*d^5*abs(b) + 29*a^2*b^17*d^6*abs(b))/(b^23*d^4)) + 4*(sqrt(b*d)*a*b^3*c^3*abs(b) - 3*sqrt(b*d)*a^2*b^2*c^2*d*abs(b) + 3*sqrt(b*d)*a^3*b*c*d^2*abs(b) - sqrt(b*d)*a^4*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^5) - 5/16*(sqrt(b*d)*b^3*c^3*abs(b) - 9*sqrt(b*d)*a*b^2*c^2*d*abs(b) + 15*sqrt(b*d)*a^2*b*c*d^2*abs(b) - 7*sqrt(b*d)*a^3*d^3*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^6*d)","B",0
770,1,287,0,1.772922," ","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
771,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/x/(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:Evaluation time: 0.49"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
772,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/x^2/(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:Evaluation time: 0.61"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
773,1,1206,0,21.606597," ","integrate((d*x+c)^(5/2)/x^3/(b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{15 \, {\left(\sqrt{b d} b^{2} c^{3} {\left| b \right|} - 2 \, \sqrt{b d} a b c^{2} d {\left| b \right|} + \sqrt{b d} a^{2} c d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} a^{3} b} + \frac{7 \, \sqrt{b d} b^{8} c^{6} {\left| b \right|} - 37 \, \sqrt{b d} a b^{7} c^{5} d {\left| b \right|} + 78 \, \sqrt{b d} a^{2} b^{6} c^{4} d^{2} {\left| b \right|} - 82 \, \sqrt{b d} a^{3} b^{5} c^{3} d^{3} {\left| b \right|} + 43 \, \sqrt{b d} a^{4} b^{4} c^{2} d^{4} {\left| b \right|} - 9 \, \sqrt{b d} a^{5} b^{3} c d^{5} {\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)}^{2} b^{6} c^{5} {\left| b \right|} + 44 \, \sqrt{b 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^{5} c^{4} d {\left| b \right|} + 2 \, \sqrt{b 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^{4} c^{3} d^{2} {\left| b \right|} - 52 \, \sqrt{b 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^{3} c^{2} d^{3} {\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)}^{2} a^{4} b^{2} c d^{4} {\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^{4} c^{4} {\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)}^{4} a b^{3} c^{3} 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^{2} b^{2} c^{2} d^{2} {\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^{3} b c d^{3} {\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)}^{6} b^{2} c^{3} {\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)}^{6} a b c^{2} d {\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)}^{6} a^{2} c d^{2} {\left| b \right|}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a^{3}} + \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)} a^{3} b}"," ",0,"-15/4*(sqrt(b*d)*b^2*c^3*abs(b) - 2*sqrt(b*d)*a*b*c^2*d*abs(b) + sqrt(b*d)*a^2*c*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b) + 1/2*(7*sqrt(b*d)*b^8*c^6*abs(b) - 37*sqrt(b*d)*a*b^7*c^5*d*abs(b) + 78*sqrt(b*d)*a^2*b^6*c^4*d^2*abs(b) - 82*sqrt(b*d)*a^3*b^5*c^3*d^3*abs(b) + 43*sqrt(b*d)*a^4*b^4*c^2*d^4*abs(b) - 9*sqrt(b*d)*a^5*b^3*c*d^5*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))^2*b^6*c^5*abs(b) + 44*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^5*c^4*d*abs(b) + 2*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^4*c^3*d^2*abs(b) - 52*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^3*c^2*d^3*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))^2*a^4*b^2*c*d^4*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^4*c^4*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))^4*a*b^3*c^3*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^2*b^2*c^2*d^2*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^3*b*c*d^3*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))^6*b^2*c^3*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))^6*a*b*c^2*d*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))^6*a^2*c*d^2*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a^3) + 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)*a^3*b)","B",0
774,1,2324,0,85.143439," ","integrate((d*x+c)^(5/2)/x^4/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{5 \, {\left(7 \, \sqrt{b d} b^{3} c^{3} {\left| b \right|} - 15 \, \sqrt{b d} a b^{2} c^{2} d {\left| b \right|} + 9 \, \sqrt{b d} a^{2} b c d^{2} {\left| b \right|} - \sqrt{b d} a^{3} d^{3} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{8 \, \sqrt{-a b c d} a^{4} b} - \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)} a^{4}} - \frac{57 \, \sqrt{b d} b^{13} c^{8} {\left| b \right|} - 436 \, \sqrt{b d} a b^{12} c^{7} d {\left| b \right|} + 1452 \, \sqrt{b d} a^{2} b^{11} c^{6} d^{2} {\left| b \right|} - 2748 \, \sqrt{b d} a^{3} b^{10} c^{5} d^{3} {\left| b \right|} + 3230 \, \sqrt{b d} a^{4} b^{9} c^{4} d^{4} {\left| b \right|} - 2412 \, \sqrt{b d} a^{5} b^{8} c^{3} d^{5} {\left| b \right|} + 1116 \, \sqrt{b d} a^{6} b^{7} c^{2} d^{6} {\left| b \right|} - 292 \, \sqrt{b d} a^{7} b^{6} c d^{7} {\left| b \right|} + 33 \, \sqrt{b d} a^{8} b^{5} d^{8} {\left| b \right|} - 285 \, \sqrt{b 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^{7} {\left| b \right|} + 1281 \, \sqrt{b 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^{6} d {\left| b \right|} - 1917 \, \sqrt{b 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^{5} d^{2} {\left| b \right|} + 393 \, \sqrt{b 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^{4} d^{3} {\left| b \right|} + 1953 \, \sqrt{b 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} c^{3} d^{4} {\left| b \right|} - 2277 \, \sqrt{b 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^{6} c^{2} d^{5} {\left| b \right|} + 1017 \, \sqrt{b 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^{5} c 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^{7} b^{4} d^{7} {\left| b \right|} + 570 \, \sqrt{b 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^{6} {\left| b \right|} - 1308 \, \sqrt{b 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^{5} d {\left| b \right|} + 726 \, \sqrt{b 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^{4} d^{2} {\left| b \right|} - 456 \, \sqrt{b 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} c^{3} d^{3} {\left| b \right|} + 1446 \, \sqrt{b 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^{5} c^{2} d^{4} {\left| b \right|} - 1308 \, \sqrt{b 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^{4} c 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^{6} b^{3} d^{6} {\left| b \right|} - 570 \, \sqrt{b 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^{5} {\left| b \right|} + 598 \, \sqrt{b 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^{4} d {\left| b \right|} - 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)}^{6} a^{2} b^{5} c^{3} d^{2} {\left| b \right|} - 204 \, \sqrt{b 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^{4} c^{2} d^{3} {\left| b \right|} + 742 \, \sqrt{b 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^{3} c d^{4} {\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)}^{6} a^{5} b^{2} d^{5} {\left| b \right|} + 285 \, \sqrt{b 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^{4} {\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)}^{8} a b^{4} c^{3} d {\left| b \right|} - 162 \, \sqrt{b 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^{3} c^{2} d^{2} {\left| b \right|} - 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)}^{8} a^{3} b^{2} c d^{3} {\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)}^{8} a^{4} b d^{4} {\left| b \right|} - 57 \, \sqrt{b 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} c^{3} {\left| b \right|} + 81 \, \sqrt{b 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^{2} c^{2} d {\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)}^{10} a^{2} b c d^{2} {\left| b \right|} - 33 \, \sqrt{b 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} d^{3} {\left| b \right|}}{12 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{3} a^{4}}"," ",0,"5/8*(7*sqrt(b*d)*b^3*c^3*abs(b) - 15*sqrt(b*d)*a*b^2*c^2*d*abs(b) + 9*sqrt(b*d)*a^2*b*c*d^2*abs(b) - sqrt(b*d)*a^3*d^3*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^4*b) - 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)*a^4) - 1/12*(57*sqrt(b*d)*b^13*c^8*abs(b) - 436*sqrt(b*d)*a*b^12*c^7*d*abs(b) + 1452*sqrt(b*d)*a^2*b^11*c^6*d^2*abs(b) - 2748*sqrt(b*d)*a^3*b^10*c^5*d^3*abs(b) + 3230*sqrt(b*d)*a^4*b^9*c^4*d^4*abs(b) - 2412*sqrt(b*d)*a^5*b^8*c^3*d^5*abs(b) + 1116*sqrt(b*d)*a^6*b^7*c^2*d^6*abs(b) - 292*sqrt(b*d)*a^7*b^6*c*d^7*abs(b) + 33*sqrt(b*d)*a^8*b^5*d^8*abs(b) - 285*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^7*abs(b) + 1281*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^6*d*abs(b) - 1917*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^5*d^2*abs(b) + 393*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^4*d^3*abs(b) + 1953*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*c^3*d^4*abs(b) - 2277*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^6*c^2*d^5*abs(b) + 1017*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^5*c*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^7*b^4*d^7*abs(b) + 570*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^6*abs(b) - 1308*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^5*d*abs(b) + 726*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^4*d^2*abs(b) - 456*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*c^3*d^3*abs(b) + 1446*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^5*c^2*d^4*abs(b) - 1308*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^4*c*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^6*b^3*d^6*abs(b) - 570*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^5*abs(b) + 598*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^4*d*abs(b) - 108*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*c^3*d^2*abs(b) - 204*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^4*c^2*d^3*abs(b) + 742*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^3*c*d^4*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))^6*a^5*b^2*d^5*abs(b) + 285*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^4*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))^8*a*b^4*c^3*d*abs(b) - 162*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^3*c^2*d^2*abs(b) - 168*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^2*c*d^3*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))^8*a^4*b*d^4*abs(b) - 57*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*c^3*abs(b) + 81*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^2*c^2*d*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))^10*a^2*b*c*d^2*abs(b) - 33*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*d^3*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^3*a^4)","B",0
775,-1,0,0,0.000000," ","integrate((d*x+c)^(5/2)/x^5/(b*x+a)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
776,1,484,0,3.440450," ","integrate(x^4/(b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{4 \, \sqrt{b d} a^{4}}{{\left(b^{3} c {\left| b \right|} - a b^{2} d {\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{{\left({\left(b x + a\right)} {\left(\frac{2 \, {\left(b^{10} c^{2} d^{4} {\left| b \right|} - 2 \, a b^{9} c d^{5} {\left| b \right|} + a^{2} b^{8} d^{6} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{14} c^{2} d^{5} - 2 \, a b^{13} c d^{6} + a^{2} b^{12} d^{7}} - \frac{5 \, b^{11} c^{3} d^{3} {\left| b \right|} + a b^{10} c^{2} d^{4} {\left| b \right|} - 17 \, a^{2} b^{9} c d^{5} {\left| b \right|} + 11 \, a^{3} b^{8} d^{6} {\left| b \right|}}{b^{14} c^{2} d^{5} - 2 \, a b^{13} c d^{6} + a^{2} b^{12} d^{7}}\right)} - \frac{15 \, b^{12} c^{4} d^{2} {\left| b \right|} - 12 \, a b^{11} c^{3} d^{3} {\left| b \right|} - 6 \, a^{2} b^{10} c^{2} d^{4} {\left| b \right|} + 20 \, a^{3} b^{9} c d^{5} {\left| b \right|} - 9 \, a^{4} b^{8} d^{6} {\left| b \right|}}{b^{14} c^{2} d^{5} - 2 \, a b^{13} c d^{6} + a^{2} b^{12} d^{7}}\right)} \sqrt{b x + a}}{4 \, \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{3 \, {\left(5 \, \sqrt{b d} b^{2} c^{2} + 6 \, \sqrt{b d} a b c d + 5 \, \sqrt{b 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)}^{2}\right)}{8 \, b^{3} d^{4} {\left| b \right|}}"," ",0,"-4*sqrt(b*d)*a^4/((b^3*c*abs(b) - a*b^2*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)) + 1/4*((b*x + a)*(2*(b^10*c^2*d^4*abs(b) - 2*a*b^9*c*d^5*abs(b) + a^2*b^8*d^6*abs(b))*(b*x + a)/(b^14*c^2*d^5 - 2*a*b^13*c*d^6 + a^2*b^12*d^7) - (5*b^11*c^3*d^3*abs(b) + a*b^10*c^2*d^4*abs(b) - 17*a^2*b^9*c*d^5*abs(b) + 11*a^3*b^8*d^6*abs(b))/(b^14*c^2*d^5 - 2*a*b^13*c*d^6 + a^2*b^12*d^7)) - (15*b^12*c^4*d^2*abs(b) - 12*a*b^11*c^3*d^3*abs(b) - 6*a^2*b^10*c^2*d^4*abs(b) + 20*a^3*b^9*c*d^5*abs(b) - 9*a^4*b^8*d^6*abs(b))/(b^14*c^2*d^5 - 2*a*b^13*c*d^6 + a^2*b^12*d^7))*sqrt(b*x + a)/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) - 3/8*(5*sqrt(b*d)*b^2*c^2 + 6*sqrt(b*d)*a*b*c*d + 5*sqrt(b*d)*a^2*d^2)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^3*d^4*abs(b))","B",0
777,1,342,0,2.807331," ","integrate(x^3/(b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{4 \, \sqrt{b d} a^{3}}{{\left(b^{2} c {\left| b \right|} - a b d {\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{\sqrt{b x + a} {\left(\frac{{\left(b^{6} c^{2} d^{2} - 2 \, a b^{5} c d^{3} + a^{2} b^{4} d^{4}\right)} {\left(b x + a\right)}}{b^{7} c^{2} d^{3} {\left| b \right|} - 2 \, a b^{6} c d^{4} {\left| b \right|} + a^{2} b^{5} d^{5} {\left| b \right|}} + \frac{3 \, b^{7} c^{3} d - 3 \, a b^{6} c^{2} d^{2} + 3 \, a^{2} b^{5} c d^{3} - a^{3} b^{4} d^{4}}{b^{7} c^{2} d^{3} {\left| b \right|} - 2 \, a b^{6} c d^{4} {\left| b \right|} + a^{2} b^{5} d^{5} {\left| b \right|}}\right)}}{\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} + \frac{3 \, {\left(\sqrt{b d} b c + \sqrt{b d} 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)}^{2}\right)}{2 \, b^{2} d^{3} {\left| b \right|}}"," ",0,"4*sqrt(b*d)*a^3/((b^2*c*abs(b) - a*b*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)) + sqrt(b*x + a)*((b^6*c^2*d^2 - 2*a*b^5*c*d^3 + a^2*b^4*d^4)*(b*x + a)/(b^7*c^2*d^3*abs(b) - 2*a*b^6*c*d^4*abs(b) + a^2*b^5*d^5*abs(b)) + (3*b^7*c^3*d - 3*a*b^6*c^2*d^2 + 3*a^2*b^5*c*d^3 - a^3*b^4*d^4)/(b^7*c^2*d^3*abs(b) - 2*a*b^6*c*d^4*abs(b) + a^2*b^5*d^5*abs(b)))/sqrt(b^2*c + (b*x + a)*b*d - a*b*d) + 3/2*(sqrt(b*d)*b*c + sqrt(b*d)*a*d)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^2*d^3*abs(b))","B",0
778,1,202,0,2.464567," ","integrate(x^2/(b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} b^{2} c^{2} {\left| b \right|}}{{\left(b^{4} c^{2} d - 2 \, a b^{3} c d^{2} + a^{2} b^{2} d^{3}\right)} \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{4 \, \sqrt{b d} a^{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)}} - \frac{\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)}{\sqrt{b d} d {\left| b \right|}}"," ",0,"-2*sqrt(b*x + a)*b^2*c^2*abs(b)/((b^4*c^2*d - 2*a*b^3*c*d^2 + a^2*b^2*d^3)*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) - 4*sqrt(b*d)*a^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))) - log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(sqrt(b*d)*d*abs(b))","A",0
779,1,147,0,1.734039," ","integrate(x/(b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{\sqrt{b x + a} b^{3} c}{{\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{2 \, \sqrt{b d} a 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)}}\right)}}{b}"," ",0,"2*(sqrt(b*x + a)*b^3*c/((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)) + 2*sqrt(b*d)*a*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","B",0
780,1,142,0,1.477371," ","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
781,1,241,0,3.982303," ","integrate(1/x/(b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} b^{2} d^{2}}{{\left(b^{2} c^{3} {\left| b \right|} - 2 \, a b c^{2} d {\left| b \right|} + a^{2} c 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^{3}}{{\left(a b c {\left| b \right|} - a^{2} d {\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 d} b \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a c {\left| b \right|}}"," ",0,"2*sqrt(b*x + a)*b^2*d^2/((b^2*c^3*abs(b) - 2*a*b*c^2*d*abs(b) + a^2*c*d^2*abs(b))*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) + 4*sqrt(b*d)*b^3/((a*b*c*abs(b) - a^2*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)) - 2*sqrt(b*d)*b*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*c*abs(b))","B",0
782,1,817,0,14.856899," ","integrate(1/x^2/(b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} b^{2} d^{3}}{{\left(b^{2} c^{4} {\left| b \right|} - 2 \, a b c^{3} d {\left| b \right|} + a^{2} c^{2} d^{2} {\left| b \right|}\right)} \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d}} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{8} c^{4} - 8 \, \sqrt{b d} a b^{7} c^{3} d + 8 \, \sqrt{b d} a^{2} b^{6} c^{2} d^{2} - 4 \, \sqrt{b d} a^{3} b^{5} c d^{3} + \sqrt{b d} a^{4} b^{4} d^{4} - 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} b^{6} c^{3} - 2 \, \sqrt{b 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^{4} c 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^{4} c^{2} - \sqrt{b 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^{2}\right)}}{{\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} - 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} b^{4} c^{2} + 2 \, {\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 + {\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} + 3 \, {\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 + {\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 - {\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)} {\left(a^{2} b c^{3} {\left| b \right|} - a^{3} c^{2} d {\left| b \right|}\right)}} + \frac{3 \, {\left(\sqrt{b d} b^{3} c + \sqrt{b d} a b^{2} d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b c^{2} {\left| b \right|}}"," ",0,"-2*sqrt(b*x + a)*b^2*d^3/((b^2*c^4*abs(b) - 2*a*b*c^3*d*abs(b) + a^2*c^2*d^2*abs(b))*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) - 2*(3*sqrt(b*d)*b^8*c^4 - 8*sqrt(b*d)*a*b^7*c^3*d + 8*sqrt(b*d)*a^2*b^6*c^2*d^2 - 4*sqrt(b*d)*a^3*b^5*c*d^3 + sqrt(b*d)*a^4*b^4*d^4 - 6*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^6*c^3 - 2*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^4*c*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^4*c^2 - 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^2)/((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 - 3*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^4*c^2 + 2*(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 + (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 + 3*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^2*c + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*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*c^3*abs(b) - a^3*c^2*d*abs(b))) + 3*(sqrt(b*d)*b^3*c + sqrt(b*d)*a*b^2*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c^2*abs(b))","B",0
783,1,1204,0,57.941002," ","integrate(1/x^3/(b*x+a)^(3/2)/(d*x+c)^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} b^{2} d^{4}}{{\left(b^{2} c^{5} {\left| b \right|} - 2 \, a b c^{4} d {\left| b \right|} + a^{2} c^{3} 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^{5}}{{\left(a^{3} b c {\left| b \right|} - a^{4} d {\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{3 \, {\left(5 \, \sqrt{b d} b^{4} c^{2} + 6 \, \sqrt{b d} a b^{3} c d + 5 \, \sqrt{b d} a^{2} b^{2} d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} a^{3} b c^{3} {\left| b \right|}} + \frac{7 \, \sqrt{b d} b^{10} c^{5} - 21 \, \sqrt{b d} a b^{9} c^{4} d + 14 \, \sqrt{b d} a^{2} b^{8} c^{3} d^{2} + 14 \, \sqrt{b d} a^{3} b^{7} c^{2} d^{3} - 21 \, \sqrt{b d} a^{4} b^{6} c d^{4} + 7 \, \sqrt{b d} a^{5} b^{5} d^{5} - 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} b^{8} c^{4} - 4 \, \sqrt{b 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 + 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^{2} b^{6} c^{2} d^{2} - 4 \, \sqrt{b 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^{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^{4} b^{4} 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} b^{6} c^{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)}^{4} a b^{5} c^{2} d + 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)}^{4} a^{2} b^{4} c d^{2} + 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^{3} b^{3} d^{3} - 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)}^{6} b^{4} c^{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)}^{6} a b^{3} c d - 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)}^{6} a^{2} b^{2} d^{2}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a^{3} c^{3} {\left| b \right|}}"," ",0,"2*sqrt(b*x + a)*b^2*d^4/((b^2*c^5*abs(b) - 2*a*b*c^4*d*abs(b) + a^2*c^3*d^2*abs(b))*sqrt(b^2*c + (b*x + a)*b*d - a*b*d)) + 4*sqrt(b*d)*b^5/((a^3*b*c*abs(b) - a^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)) - 3/4*(5*sqrt(b*d)*b^4*c^2 + 6*sqrt(b*d)*a*b^3*c*d + 5*sqrt(b*d)*a^2*b^2*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b*c^3*abs(b)) + 1/2*(7*sqrt(b*d)*b^10*c^5 - 21*sqrt(b*d)*a*b^9*c^4*d + 14*sqrt(b*d)*a^2*b^8*c^3*d^2 + 14*sqrt(b*d)*a^3*b^7*c^2*d^3 - 21*sqrt(b*d)*a^4*b^6*c*d^4 + 7*sqrt(b*d)*a^5*b^5*d^5 - 21*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 - 4*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 + 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^2*b^6*c^2*d^2 - 4*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^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^4*b^4*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*b^6*c^3 + 35*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 + 35*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^2 + 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^3*b^3*d^3 - 7*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 - 10*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 - 7*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^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a^3*c^3*abs(b))","B",0
784,1,983,0,3.739734," ","integrate(x^5/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{4 \, \sqrt{b d} a^{5}}{{\left(b^{4} c^{2} {\left| b \right|} - 2 \, a b^{3} c d {\left| b \right|} + a^{2} b^{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{{\left({\left(3 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(b^{14} c^{5} d^{6} - 5 \, a b^{13} c^{4} d^{7} + 10 \, a^{2} b^{12} c^{3} d^{8} - 10 \, a^{3} b^{11} c^{2} d^{9} + 5 \, a^{4} b^{10} c d^{10} - a^{5} b^{9} d^{11}\right)} {\left(b x + a\right)}}{b^{15} c^{5} d^{7} {\left| b \right|} - 5 \, a b^{14} c^{4} d^{8} {\left| b \right|} + 10 \, a^{2} b^{13} c^{3} d^{9} {\left| b \right|} - 10 \, a^{3} b^{12} c^{2} d^{10} {\left| b \right|} + 5 \, a^{4} b^{11} c d^{11} {\left| b \right|} - a^{5} b^{10} d^{12} {\left| b \right|}} - \frac{7 \, b^{15} c^{6} d^{5} - 22 \, a b^{14} c^{5} d^{6} + 5 \, a^{2} b^{13} c^{4} d^{7} + 60 \, a^{3} b^{12} c^{3} d^{8} - 95 \, a^{4} b^{11} c^{2} d^{9} + 58 \, a^{5} b^{10} c d^{10} - 13 \, a^{6} b^{9} d^{11}}{b^{15} c^{5} d^{7} {\left| b \right|} - 5 \, a b^{14} c^{4} d^{8} {\left| b \right|} + 10 \, a^{2} b^{13} c^{3} d^{9} {\left| b \right|} - 10 \, a^{3} b^{12} c^{2} d^{10} {\left| b \right|} + 5 \, a^{4} b^{11} c d^{11} {\left| b \right|} - a^{5} b^{10} d^{12} {\left| b \right|}}\right)} - \frac{20 \, {\left(7 \, b^{16} c^{7} d^{4} - 29 \, a b^{15} c^{6} d^{5} + 43 \, a^{2} b^{14} c^{5} d^{6} - 21 \, a^{3} b^{13} c^{4} d^{7} - 15 \, a^{4} b^{12} c^{3} d^{8} + 27 \, a^{5} b^{11} c^{2} d^{9} - 15 \, a^{6} b^{10} c d^{10} + 3 \, a^{7} b^{9} d^{11}\right)}}{b^{15} c^{5} d^{7} {\left| b \right|} - 5 \, a b^{14} c^{4} d^{8} {\left| b \right|} + 10 \, a^{2} b^{13} c^{3} d^{9} {\left| b \right|} - 10 \, a^{3} b^{12} c^{2} d^{10} {\left| b \right|} + 5 \, a^{4} b^{11} c d^{11} {\left| b \right|} - a^{5} b^{10} d^{12} {\left| b \right|}}\right)} {\left(b x + a\right)} - \frac{3 \, {\left(35 \, b^{17} c^{8} d^{3} - 180 \, a b^{16} c^{7} d^{4} + 360 \, a^{2} b^{15} c^{6} d^{5} - 340 \, a^{3} b^{14} c^{5} d^{6} + 110 \, a^{4} b^{13} c^{4} d^{7} + 84 \, a^{5} b^{12} c^{3} d^{8} - 112 \, a^{6} b^{11} c^{2} d^{9} + 52 \, a^{7} b^{10} c d^{10} - 9 \, a^{8} b^{9} d^{11}\right)}}{b^{15} c^{5} d^{7} {\left| b \right|} - 5 \, a b^{14} c^{4} d^{8} {\left| b \right|} + 10 \, a^{2} b^{13} c^{3} d^{9} {\left| b \right|} - 10 \, a^{3} b^{12} c^{2} d^{10} {\left| b \right|} + 5 \, a^{4} b^{11} c d^{11} {\left| b \right|} - a^{5} b^{10} d^{12} {\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{5 \, {\left(7 \, \sqrt{b d} b^{2} c^{2} + 6 \, \sqrt{b d} a b c d + 3 \, \sqrt{b 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)}^{2}\right)}{8 \, b^{3} d^{5} {\left| b \right|}}"," ",0,"4*sqrt(b*d)*a^5/((b^4*c^2*abs(b) - 2*a*b^3*c*d*abs(b) + a^2*b^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)) + 1/12*((3*(b*x + a)*(2*(b^14*c^5*d^6 - 5*a*b^13*c^4*d^7 + 10*a^2*b^12*c^3*d^8 - 10*a^3*b^11*c^2*d^9 + 5*a^4*b^10*c*d^10 - a^5*b^9*d^11)*(b*x + a)/(b^15*c^5*d^7*abs(b) - 5*a*b^14*c^4*d^8*abs(b) + 10*a^2*b^13*c^3*d^9*abs(b) - 10*a^3*b^12*c^2*d^10*abs(b) + 5*a^4*b^11*c*d^11*abs(b) - a^5*b^10*d^12*abs(b)) - (7*b^15*c^6*d^5 - 22*a*b^14*c^5*d^6 + 5*a^2*b^13*c^4*d^7 + 60*a^3*b^12*c^3*d^8 - 95*a^4*b^11*c^2*d^9 + 58*a^5*b^10*c*d^10 - 13*a^6*b^9*d^11)/(b^15*c^5*d^7*abs(b) - 5*a*b^14*c^4*d^8*abs(b) + 10*a^2*b^13*c^3*d^9*abs(b) - 10*a^3*b^12*c^2*d^10*abs(b) + 5*a^4*b^11*c*d^11*abs(b) - a^5*b^10*d^12*abs(b))) - 20*(7*b^16*c^7*d^4 - 29*a*b^15*c^6*d^5 + 43*a^2*b^14*c^5*d^6 - 21*a^3*b^13*c^4*d^7 - 15*a^4*b^12*c^3*d^8 + 27*a^5*b^11*c^2*d^9 - 15*a^6*b^10*c*d^10 + 3*a^7*b^9*d^11)/(b^15*c^5*d^7*abs(b) - 5*a*b^14*c^4*d^8*abs(b) + 10*a^2*b^13*c^3*d^9*abs(b) - 10*a^3*b^12*c^2*d^10*abs(b) + 5*a^4*b^11*c*d^11*abs(b) - a^5*b^10*d^12*abs(b)))*(b*x + a) - 3*(35*b^17*c^8*d^3 - 180*a*b^16*c^7*d^4 + 360*a^2*b^15*c^6*d^5 - 340*a^3*b^14*c^5*d^6 + 110*a^4*b^13*c^4*d^7 + 84*a^5*b^12*c^3*d^8 - 112*a^6*b^11*c^2*d^9 + 52*a^7*b^10*c*d^10 - 9*a^8*b^9*d^11)/(b^15*c^5*d^7*abs(b) - 5*a*b^14*c^4*d^8*abs(b) + 10*a^2*b^13*c^3*d^9*abs(b) - 10*a^3*b^12*c^2*d^10*abs(b) + 5*a^4*b^11*c*d^11*abs(b) - a^5*b^10*d^12*abs(b)))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 5/8*(7*sqrt(b*d)*b^2*c^2 + 6*sqrt(b*d)*a*b*c*d + 3*sqrt(b*d)*a^2*d^2)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^3*d^5*abs(b))","B",0
785,1,753,0,3.268137," ","integrate(x^4/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{4 \, \sqrt{b d} a^{4}}{{\left(b^{3} c^{2} {\left| b \right|} - 2 \, a b^{2} c d {\left| b \right|} + a^{2} b 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{{\left({\left(b x + a\right)} {\left(\frac{3 \, {\left(b^{8} c^{5} d^{4} {\left| b \right|} - 5 \, a b^{7} c^{4} d^{5} {\left| b \right|} + 10 \, a^{2} b^{6} c^{3} d^{6} {\left| b \right|} - 10 \, a^{3} b^{5} c^{2} d^{7} {\left| b \right|} + 5 \, a^{4} b^{4} c d^{8} {\left| b \right|} - a^{5} b^{3} d^{9} {\left| b \right|}\right)} {\left(b x + a\right)}}{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}} + \frac{2 \, {\left(10 \, b^{9} c^{6} d^{3} {\left| b \right|} - 44 \, a b^{8} c^{5} d^{4} {\left| b \right|} + 76 \, a^{2} b^{7} c^{4} d^{5} {\left| b \right|} - 72 \, a^{3} b^{6} c^{3} d^{6} {\left| b \right|} + 45 \, a^{4} b^{5} c^{2} d^{7} {\left| b \right|} - 18 \, a^{5} b^{4} c d^{8} {\left| b \right|} + 3 \, a^{6} b^{3} d^{9} {\left| b \right|}\right)}}{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)} + \frac{3 \, {\left(5 \, b^{10} c^{7} d^{2} {\left| b \right|} - 27 \, a b^{9} c^{6} d^{3} {\left| b \right|} + 57 \, a^{2} b^{8} c^{5} d^{4} {\left| b \right|} - 63 \, a^{3} b^{7} c^{4} d^{5} {\left| b \right|} + 43 \, a^{4} b^{6} c^{3} d^{6} {\left| b \right|} - 21 \, a^{5} b^{5} c^{2} d^{7} {\left| b \right|} + 7 \, a^{6} b^{4} c d^{8} {\left| b \right|} - a^{7} b^{3} d^{9} {\left| b \right|}\right)}}{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)} \sqrt{b x + a}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} + \frac{{\left(5 \, \sqrt{b d} b c + 3 \, \sqrt{b d} 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)}^{2}\right)}{2 \, b^{2} d^{4} {\left| b \right|}}"," ",0,"-4*sqrt(b*d)*a^4/((b^3*c^2*abs(b) - 2*a*b^2*c*d*abs(b) + a^2*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)) + 1/3*((b*x + a)*(3*(b^8*c^5*d^4*abs(b) - 5*a*b^7*c^4*d^5*abs(b) + 10*a^2*b^6*c^3*d^6*abs(b) - 10*a^3*b^5*c^2*d^7*abs(b) + 5*a^4*b^4*c*d^8*abs(b) - a^5*b^3*d^9*abs(b))*(b*x + a)/(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) + 2*(10*b^9*c^6*d^3*abs(b) - 44*a*b^8*c^5*d^4*abs(b) + 76*a^2*b^7*c^4*d^5*abs(b) - 72*a^3*b^6*c^3*d^6*abs(b) + 45*a^4*b^5*c^2*d^7*abs(b) - 18*a^5*b^4*c*d^8*abs(b) + 3*a^6*b^3*d^9*abs(b))/(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)) + 3*(5*b^10*c^7*d^2*abs(b) - 27*a*b^9*c^6*d^3*abs(b) + 57*a^2*b^8*c^5*d^4*abs(b) - 63*a^3*b^7*c^4*d^5*abs(b) + 43*a^4*b^6*c^3*d^6*abs(b) - 21*a^5*b^5*c^2*d^7*abs(b) + 7*a^6*b^4*c*d^8*abs(b) - a^7*b^3*d^9*abs(b))/(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))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + 1/2*(5*sqrt(b*d)*b*c + 3*sqrt(b*d)*a*d)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^2*d^4*abs(b))","B",0
786,1,478,0,2.725554," ","integrate(x^3/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{4 \, \sqrt{b d} a^{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{{\left(4 \, b^{8} c^{5} d^{2} - 17 \, a b^{7} c^{4} d^{3} + 22 \, a^{2} b^{6} c^{3} d^{4} - 9 \, a^{3} b^{5} c^{2} d^{5}\right)} {\left(b x + a\right)}}{b^{7} c^{5} d^{3} {\left| b \right|} - 5 \, a b^{6} c^{4} d^{4} {\left| b \right|} + 10 \, a^{2} b^{5} c^{3} d^{5} {\left| b \right|} - 10 \, a^{3} b^{4} c^{2} d^{6} {\left| b \right|} + 5 \, a^{4} b^{3} c d^{7} {\left| b \right|} - a^{5} b^{2} d^{8} {\left| b \right|}} + \frac{3 \, {\left(b^{9} c^{6} d - 6 \, a b^{8} c^{5} d^{2} + 12 \, a^{2} b^{7} c^{4} d^{3} - 10 \, a^{3} b^{6} c^{3} d^{4} + 3 \, a^{4} b^{5} c^{2} d^{5}\right)}}{b^{7} c^{5} d^{3} {\left| b \right|} - 5 \, a b^{6} c^{4} d^{4} {\left| b \right|} + 10 \, a^{2} b^{5} c^{3} d^{5} {\left| b \right|} - 10 \, a^{3} b^{4} c^{2} d^{6} {\left| b \right|} + 5 \, a^{4} b^{3} c d^{7} {\left| b \right|} - a^{5} b^{2} d^{8} {\left| b \right|}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{\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)}{\sqrt{b d} d^{2} {\left| b \right|}}"," ",0,"4*sqrt(b*d)*a^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)*((4*b^8*c^5*d^2 - 17*a*b^7*c^4*d^3 + 22*a^2*b^6*c^3*d^4 - 9*a^3*b^5*c^2*d^5)*(b*x + a)/(b^7*c^5*d^3*abs(b) - 5*a*b^6*c^4*d^4*abs(b) + 10*a^2*b^5*c^3*d^5*abs(b) - 10*a^3*b^4*c^2*d^6*abs(b) + 5*a^4*b^3*c*d^7*abs(b) - a^5*b^2*d^8*abs(b)) + 3*(b^9*c^6*d - 6*a*b^8*c^5*d^2 + 12*a^2*b^7*c^4*d^3 - 10*a^3*b^6*c^3*d^4 + 3*a^4*b^5*c^2*d^5)/(b^7*c^5*d^3*abs(b) - 5*a*b^6*c^4*d^4*abs(b) + 10*a^2*b^5*c^3*d^5*abs(b) - 10*a^3*b^4*c^2*d^6*abs(b) + 5*a^4*b^3*c*d^7*abs(b) - a^5*b^2*d^8*abs(b)))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(sqrt(b*d)*d^2*abs(b))","B",0
787,1,395,0,2.357611," ","integrate(x^2/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{4 \, \sqrt{b d} a^{2} b}{{\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{{\left(b^{6} c^{4} d {\left| b \right|} - 8 \, a b^{5} c^{3} d^{2} {\left| b \right|} + 13 \, a^{2} b^{4} c^{2} d^{3} {\left| b \right|} - 6 \, a^{3} b^{3} c d^{4} {\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(a b^{6} c^{4} d {\left| b \right|} - 3 \, a^{2} b^{5} c^{3} d^{2} {\left| b \right|} + 3 \, a^{3} b^{4} c^{2} d^{3} {\left| b \right|} - a^{4} b^{3} c d^{4} {\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)*a^2*b/((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)*((b^6*c^4*d*abs(b) - 8*a*b^5*c^3*d^2*abs(b) + 13*a^2*b^4*c^2*d^3*abs(b) - 6*a^3*b^3*c*d^4*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*(a*b^6*c^4*d*abs(b) - 3*a^2*b^5*c^3*d^2*abs(b) + 3*a^3*b^4*c^2*d^3*abs(b) - a^4*b^3*c*d^4*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
788,1,393,0,2.284734," ","integrate(x/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{6 \, \sqrt{b d} a 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{\sqrt{b x + a} {\left(\frac{{\left(2 \, b^{7} c^{3} d^{2} {\left| b \right|} - a b^{6} c^{2} d^{3} {\left| b \right|} - 4 \, a^{2} b^{5} c d^{4} {\left| b \right|} + 3 \, a^{3} 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{3 \, {\left(b^{8} c^{4} d {\left| b \right|} - 2 \, a b^{7} c^{3} d^{2} {\left| b \right|} + 2 \, a^{3} b^{5} c d^{4} {\left| b \right|} - a^{4} 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)}}{{\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}}\right)}}{3 \, b}"," ",0,"2/3*(6*sqrt(b*d)*a*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)) + sqrt(b*x + a)*((2*b^7*c^3*d^2*abs(b) - a*b^6*c^2*d^3*abs(b) - 4*a^2*b^5*c*d^4*abs(b) + 3*a^3*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) + 3*(b^8*c^4*d*abs(b) - 2*a*b^7*c^3*d^2*abs(b) + 2*a^3*b^5*c*d^4*abs(b) - a^4*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","B",0
789,1,373,0,1.684512," ","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
790,1,520,0,5.126036," ","integrate(1/x/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{4 \, \sqrt{b d} b^{4}}{{\left(a b^{2} c^{2} {\left| b \right|} - 2 \, a^{2} b c d {\left| b \right|} + a^{3} 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{{\left(8 \, b^{6} c^{5} d^{4} {\left| b \right|} - 19 \, a b^{5} c^{4} d^{5} {\left| b \right|} + 14 \, a^{2} b^{4} c^{3} d^{6} {\left| b \right|} - 3 \, a^{3} b^{3} c^{2} d^{7} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{7} c^{9} d - 5 \, a b^{6} c^{8} d^{2} + 10 \, a^{2} b^{5} c^{7} d^{3} - 10 \, a^{3} b^{4} c^{6} d^{4} + 5 \, a^{4} b^{3} c^{5} d^{5} - a^{5} b^{2} c^{4} d^{6}} + \frac{3 \, {\left(3 \, b^{7} c^{6} d^{3} {\left| b \right|} - 10 \, a b^{6} c^{5} d^{4} {\left| b \right|} + 12 \, a^{2} b^{5} c^{4} d^{5} {\left| b \right|} - 6 \, a^{3} b^{4} c^{3} d^{6} {\left| b \right|} + a^{4} b^{3} c^{2} d^{7} {\left| b \right|}\right)}}{b^{7} c^{9} d - 5 \, a b^{6} c^{8} d^{2} + 10 \, a^{2} b^{5} c^{7} d^{3} - 10 \, a^{3} b^{4} c^{6} d^{4} + 5 \, a^{4} b^{3} c^{5} d^{5} - a^{5} b^{2} c^{4} d^{6}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{2 \, \sqrt{b d} b \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a c^{2} {\left| b \right|}}"," ",0,"4*sqrt(b*d)*b^4/((a*b^2*c^2*abs(b) - 2*a^2*b*c*d*abs(b) + a^3*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)*((8*b^6*c^5*d^4*abs(b) - 19*a*b^5*c^4*d^5*abs(b) + 14*a^2*b^4*c^3*d^6*abs(b) - 3*a^3*b^3*c^2*d^7*abs(b))*(b*x + a)/(b^7*c^9*d - 5*a*b^6*c^8*d^2 + 10*a^2*b^5*c^7*d^3 - 10*a^3*b^4*c^6*d^4 + 5*a^4*b^3*c^5*d^5 - a^5*b^2*c^4*d^6) + 3*(3*b^7*c^6*d^3*abs(b) - 10*a*b^6*c^5*d^4*abs(b) + 12*a^2*b^5*c^4*d^5*abs(b) - 6*a^3*b^4*c^3*d^6*abs(b) + a^4*b^3*c^2*d^7*abs(b))/(b^7*c^9*d - 5*a*b^6*c^8*d^2 + 10*a^2*b^5*c^7*d^3 - 10*a^3*b^4*c^6*d^4 + 5*a^4*b^3*c^5*d^5 - a^5*b^2*c^4*d^6))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 2*sqrt(b*d)*b*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a*c^2*abs(b))","B",0
791,1,1336,0,13.279215," ","integrate(1/x^2/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(11 \, b^{6} c^{6} d^{5} {\left| b \right|} - 28 \, a b^{5} c^{5} d^{6} {\left| b \right|} + 23 \, a^{2} b^{4} c^{4} d^{7} {\left| b \right|} - 6 \, a^{3} b^{3} c^{3} d^{8} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{7} c^{11} d - 5 \, a b^{6} c^{10} d^{2} + 10 \, a^{2} b^{5} c^{9} d^{3} - 10 \, a^{3} b^{4} c^{8} d^{4} + 5 \, a^{4} b^{3} c^{7} d^{5} - a^{5} b^{2} c^{6} d^{6}} + \frac{6 \, {\left(2 \, b^{7} c^{7} d^{4} {\left| b \right|} - 7 \, a b^{6} c^{6} d^{5} {\left| b \right|} + 9 \, a^{2} b^{5} c^{5} d^{6} {\left| b \right|} - 5 \, a^{3} b^{4} c^{4} d^{7} {\left| b \right|} + a^{4} b^{3} c^{3} d^{8} {\left| b \right|}\right)}}{b^{7} c^{11} d - 5 \, a b^{6} c^{10} d^{2} + 10 \, a^{2} b^{5} c^{9} d^{3} - 10 \, a^{3} b^{4} c^{8} d^{4} + 5 \, a^{4} b^{3} c^{7} d^{5} - a^{5} b^{2} c^{6} d^{6}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(3 \, \sqrt{b d} b^{9} c^{5} - 9 \, \sqrt{b d} a b^{8} c^{4} d + 12 \, \sqrt{b d} a^{2} b^{7} c^{3} d^{2} - 10 \, \sqrt{b d} a^{3} b^{6} c^{2} d^{3} + 5 \, \sqrt{b d} a^{4} b^{5} c d^{4} - \sqrt{b d} a^{5} b^{4} d^{5} - 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} b^{7} c^{4} + 2 \, \sqrt{b 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 - 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^{2} b^{5} c^{2} d^{2} + 2 \, \sqrt{b 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^{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} b^{5} c^{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 b^{4} c^{2} d - \sqrt{b 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^{2} + \sqrt{b 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^{3}\right)}}{{\left(a^{2} b^{2} c^{5} {\left| b \right|} - 2 \, a^{3} b c^{4} d {\left| b \right|} + a^{4} c^{3} d^{2} {\left| b \right|}\right)} {\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} - 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} b^{4} c^{2} + 2 \, {\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 + {\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} + 3 \, {\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 + {\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 - {\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)}} + \frac{{\left(3 \, \sqrt{b d} b^{3} c + 5 \, \sqrt{b d} a b^{2} d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} b c^{3} {\left| b \right|}}"," ",0,"-2/3*sqrt(b*x + a)*((11*b^6*c^6*d^5*abs(b) - 28*a*b^5*c^5*d^6*abs(b) + 23*a^2*b^4*c^4*d^7*abs(b) - 6*a^3*b^3*c^3*d^8*abs(b))*(b*x + a)/(b^7*c^11*d - 5*a*b^6*c^10*d^2 + 10*a^2*b^5*c^9*d^3 - 10*a^3*b^4*c^8*d^4 + 5*a^4*b^3*c^7*d^5 - a^5*b^2*c^6*d^6) + 6*(2*b^7*c^7*d^4*abs(b) - 7*a*b^6*c^6*d^5*abs(b) + 9*a^2*b^5*c^5*d^6*abs(b) - 5*a^3*b^4*c^4*d^7*abs(b) + a^4*b^3*c^3*d^8*abs(b))/(b^7*c^11*d - 5*a*b^6*c^10*d^2 + 10*a^2*b^5*c^9*d^3 - 10*a^3*b^4*c^8*d^4 + 5*a^4*b^3*c^7*d^5 - a^5*b^2*c^6*d^6))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 2*(3*sqrt(b*d)*b^9*c^5 - 9*sqrt(b*d)*a*b^8*c^4*d + 12*sqrt(b*d)*a^2*b^7*c^3*d^2 - 10*sqrt(b*d)*a^3*b^6*c^2*d^3 + 5*sqrt(b*d)*a^4*b^5*c*d^4 - sqrt(b*d)*a^5*b^4*d^5 - 6*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 + 2*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 - 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^2*b^5*c^2*d^2 + 2*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^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*b^5*c^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*b^4*c^2*d - 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^2 + 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^3)/((a^2*b^2*c^5*abs(b) - 2*a^3*b*c^4*d*abs(b) + a^4*c^3*d^2*abs(b))*(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 - 3*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^4*c^2 + 2*(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 + (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 + 3*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*b^2*c + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a*b*d - (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6)) + (3*sqrt(b*d)*b^3*c + 5*sqrt(b*d)*a*b^2*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*b*c^3*abs(b))","B",0
792,1,1482,0,64.588599," ","integrate(1/x^3/(b*x+a)^(3/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{4 \, \sqrt{b d} b^{6}}{{\left(a^{3} b^{2} c^{2} {\left| b \right|} - 2 \, a^{4} b c d {\left| b \right|} + a^{5} 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{{\left(14 \, b^{6} c^{7} d^{6} {\left| b \right|} - 37 \, a b^{5} c^{6} d^{7} {\left| b \right|} + 32 \, a^{2} b^{4} c^{5} d^{8} {\left| b \right|} - 9 \, a^{3} b^{3} c^{4} d^{9} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{7} c^{13} d - 5 \, a b^{6} c^{12} d^{2} + 10 \, a^{2} b^{5} c^{11} d^{3} - 10 \, a^{3} b^{4} c^{10} d^{4} + 5 \, a^{4} b^{3} c^{9} d^{5} - a^{5} b^{2} c^{8} d^{6}} + \frac{3 \, {\left(5 \, b^{7} c^{8} d^{5} {\left| b \right|} - 18 \, a b^{6} c^{7} d^{6} {\left| b \right|} + 24 \, a^{2} b^{5} c^{6} d^{7} {\left| b \right|} - 14 \, a^{3} b^{4} c^{5} d^{8} {\left| b \right|} + 3 \, a^{4} b^{3} c^{4} d^{9} {\left| b \right|}\right)}}{b^{7} c^{13} d - 5 \, a b^{6} c^{12} d^{2} + 10 \, a^{2} b^{5} c^{11} d^{3} - 10 \, a^{3} b^{4} c^{10} d^{4} + 5 \, a^{4} b^{3} c^{9} d^{5} - a^{5} b^{2} c^{8} d^{6}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} - \frac{5 \, {\left(3 \, \sqrt{b d} b^{4} c^{2} + 6 \, \sqrt{b d} a b^{3} c d + 7 \, \sqrt{b d} a^{2} b^{2} d^{2}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} a^{3} b c^{4} {\left| b \right|}} + \frac{7 \, \sqrt{b d} b^{10} c^{5} - 17 \, \sqrt{b d} a b^{9} c^{4} d - 2 \, \sqrt{b d} a^{2} b^{8} c^{3} d^{2} + 38 \, \sqrt{b d} a^{3} b^{7} c^{2} d^{3} - 37 \, \sqrt{b d} a^{4} b^{6} c d^{4} + 11 \, \sqrt{b d} a^{5} b^{5} d^{5} - 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} b^{8} c^{4} - 16 \, \sqrt{b 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 + 62 \, \sqrt{b 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^{2} + 8 \, \sqrt{b 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^{3} - 33 \, \sqrt{b 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^{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} b^{6} c^{3} + 47 \, \sqrt{b 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 + 43 \, \sqrt{b 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^{2} + 33 \, \sqrt{b 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^{3} - 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)}^{6} b^{4} c^{2} - 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)}^{6} a b^{3} c d - 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)}^{6} a^{2} b^{2} d^{2}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a^{3} c^{4} {\left| b \right|}}"," ",0,"4*sqrt(b*d)*b^6/((a^3*b^2*c^2*abs(b) - 2*a^4*b*c*d*abs(b) + a^5*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)*((14*b^6*c^7*d^6*abs(b) - 37*a*b^5*c^6*d^7*abs(b) + 32*a^2*b^4*c^5*d^8*abs(b) - 9*a^3*b^3*c^4*d^9*abs(b))*(b*x + a)/(b^7*c^13*d - 5*a*b^6*c^12*d^2 + 10*a^2*b^5*c^11*d^3 - 10*a^3*b^4*c^10*d^4 + 5*a^4*b^3*c^9*d^5 - a^5*b^2*c^8*d^6) + 3*(5*b^7*c^8*d^5*abs(b) - 18*a*b^6*c^7*d^6*abs(b) + 24*a^2*b^5*c^6*d^7*abs(b) - 14*a^3*b^4*c^5*d^8*abs(b) + 3*a^4*b^3*c^4*d^9*abs(b))/(b^7*c^13*d - 5*a*b^6*c^12*d^2 + 10*a^2*b^5*c^11*d^3 - 10*a^3*b^4*c^10*d^4 + 5*a^4*b^3*c^9*d^5 - a^5*b^2*c^8*d^6))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 5/4*(3*sqrt(b*d)*b^4*c^2 + 6*sqrt(b*d)*a*b^3*c*d + 7*sqrt(b*d)*a^2*b^2*d^2)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b*c^4*abs(b)) + 1/2*(7*sqrt(b*d)*b^10*c^5 - 17*sqrt(b*d)*a*b^9*c^4*d - 2*sqrt(b*d)*a^2*b^8*c^3*d^2 + 38*sqrt(b*d)*a^3*b^7*c^2*d^3 - 37*sqrt(b*d)*a^4*b^6*c*d^4 + 11*sqrt(b*d)*a^5*b^5*d^5 - 21*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 - 16*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 + 62*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^2 + 8*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^3 - 33*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^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*b^6*c^3 + 47*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 + 43*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^2 + 33*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^3 - 7*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 - 14*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 - 11*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^2)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a^3*c^4*abs(b))","B",0
793,1,1133,0,5.229232," ","integrate(x^4*(d*x+c)^(5/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{1}{1920} \, \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)} d^{2} {\left| b \right|}}{b^{9}} + \frac{21 \, b^{45} c d^{9} {\left| b \right|} - 61 \, a b^{44} d^{10} {\left| b \right|}}{b^{53} d^{8}}\right)} + \frac{93 \, b^{46} c^{2} d^{8} {\left| b \right|} - 866 \, a b^{45} c d^{9} {\left| b \right|} + 1253 \, a^{2} b^{44} d^{10} {\left| b \right|}}{b^{53} d^{8}}\right)} + \frac{5 \, {\left(3 \, b^{47} c^{3} d^{7} {\left| b \right|} - 481 \, a b^{46} c^{2} d^{8} {\left| b \right|} + 2201 \, a^{2} b^{45} c d^{9} {\left| b \right|} - 2107 \, a^{3} b^{44} d^{10} {\left| b \right|}\right)}}{b^{53} d^{8}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(3 \, b^{48} c^{4} d^{6} {\left| b \right|} + 28 \, a b^{47} c^{3} d^{7} {\left| b \right|} - 1158 \, a^{2} b^{46} c^{2} d^{8} {\left| b \right|} + 3372 \, a^{3} b^{45} c d^{9} {\left| b \right|} - 2373 \, a^{4} b^{44} d^{10} {\left| b \right|}\right)}}{b^{53} d^{8}}\right)} \sqrt{b x + a} + \frac{4 \, {\left(12 \, \sqrt{b d} a^{3} b^{7} c^{5} {\left| b \right|} - 67 \, \sqrt{b d} a^{4} b^{6} c^{4} d {\left| b \right|} + 148 \, \sqrt{b d} a^{5} b^{5} c^{3} d^{2} {\left| b \right|} - 162 \, \sqrt{b d} a^{6} b^{4} c^{2} d^{3} {\left| b \right|} + 88 \, \sqrt{b d} a^{7} b^{3} c d^{4} {\left| b \right|} - 19 \, \sqrt{b d} a^{8} b^{2} d^{5} {\left| b \right|} - 24 \, \sqrt{b 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^{4} {\left| b \right|} + 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)}^{2} a^{4} b^{4} c^{3} d {\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^{5} b^{3} c^{2} d^{2} {\left| b \right|} + 132 \, \sqrt{b 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^{2} c d^{3} {\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^{7} b d^{4} {\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)}^{4} a^{3} b^{3} c^{3} {\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)}^{4} a^{4} b^{2} c^{2} d {\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)}^{4} a^{5} b c d^{2} {\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^{6} 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^{8}} - \frac{{\left(3 \, \sqrt{b d} b^{5} c^{5} {\left| b \right|} + 25 \, \sqrt{b d} a b^{4} c^{4} d {\left| b \right|} + 350 \, \sqrt{b d} a^{2} b^{3} c^{3} d^{2} {\left| b \right|} - 3150 \, \sqrt{b d} a^{3} b^{2} c^{2} d^{3} {\left| b \right|} + 5775 \, \sqrt{b d} a^{4} b c d^{4} {\left| b \right|} - 3003 \, \sqrt{b d} a^{5} d^{5} {\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)}{256 \, b^{9} d^{3}}"," ",0,"1/1920*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)*d^2*abs(b)/b^9 + (21*b^45*c*d^9*abs(b) - 61*a*b^44*d^10*abs(b))/(b^53*d^8)) + (93*b^46*c^2*d^8*abs(b) - 866*a*b^45*c*d^9*abs(b) + 1253*a^2*b^44*d^10*abs(b))/(b^53*d^8)) + 5*(3*b^47*c^3*d^7*abs(b) - 481*a*b^46*c^2*d^8*abs(b) + 2201*a^2*b^45*c*d^9*abs(b) - 2107*a^3*b^44*d^10*abs(b))/(b^53*d^8))*(b*x + a) - 15*(3*b^48*c^4*d^6*abs(b) + 28*a*b^47*c^3*d^7*abs(b) - 1158*a^2*b^46*c^2*d^8*abs(b) + 3372*a^3*b^45*c*d^9*abs(b) - 2373*a^4*b^44*d^10*abs(b))/(b^53*d^8))*sqrt(b*x + a) + 4/3*(12*sqrt(b*d)*a^3*b^7*c^5*abs(b) - 67*sqrt(b*d)*a^4*b^6*c^4*d*abs(b) + 148*sqrt(b*d)*a^5*b^5*c^3*d^2*abs(b) - 162*sqrt(b*d)*a^6*b^4*c^2*d^3*abs(b) + 88*sqrt(b*d)*a^7*b^3*c*d^4*abs(b) - 19*sqrt(b*d)*a^8*b^2*d^5*abs(b) - 24*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^4*abs(b) + 108*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*c^3*d*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^5*b^3*c^2*d^2*abs(b) + 132*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^2*c*d^3*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^7*b*d^4*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))^4*a^3*b^3*c^3*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))^4*a^4*b^2*c^2*d*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))^4*a^5*b*c*d^2*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^6*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^8) - 1/256*(3*sqrt(b*d)*b^5*c^5*abs(b) + 25*sqrt(b*d)*a*b^4*c^4*d*abs(b) + 350*sqrt(b*d)*a^2*b^3*c^3*d^2*abs(b) - 3150*sqrt(b*d)*a^3*b^2*c^2*d^3*abs(b) + 5775*sqrt(b*d)*a^4*b*c*d^4*abs(b) - 3003*sqrt(b*d)*a^5*d^5*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^9*d^3)","B",0
794,1,1024,0,3.829921," ","integrate(x^3*(d*x+c)^(5/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{1}{192} \, \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)} d^{2} {\left| b \right|}}{b^{8}} + \frac{17 \, b^{32} c d^{7} {\left| b \right|} - 41 \, a b^{31} d^{8} {\left| b \right|}}{b^{39} d^{6}}\right)} + \frac{59 \, b^{33} c^{2} d^{6} {\left| b \right|} - 430 \, a b^{32} c d^{7} {\left| b \right|} + 515 \, a^{2} b^{31} d^{8} {\left| b \right|}}{b^{39} d^{6}}\right)} + \frac{3 \, {\left(5 \, b^{34} c^{3} d^{5} {\left| b \right|} - 279 \, a b^{33} c^{2} d^{6} {\left| b \right|} + 975 \, a^{2} b^{32} c d^{7} {\left| b \right|} - 765 \, a^{3} b^{31} d^{8} {\left| b \right|}\right)}}{b^{39} d^{6}}\right)} \sqrt{b x + a} + \frac{5 \, {\left(\sqrt{b d} b^{4} c^{4} {\left| b \right|} + 20 \, \sqrt{b d} a b^{3} c^{3} d {\left| b \right|} - 210 \, \sqrt{b d} a^{2} b^{2} c^{2} d^{2} {\left| b \right|} + 420 \, \sqrt{b d} a^{3} b c d^{3} {\left| b \right|} - 231 \, \sqrt{b d} a^{4} d^{4} {\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)}{128 \, b^{8} d^{2}} - \frac{4 \, {\left(9 \, \sqrt{b d} a^{2} b^{7} c^{5} {\left| b \right|} - 52 \, \sqrt{b d} a^{3} b^{6} c^{4} d {\left| b \right|} + 118 \, \sqrt{b d} a^{4} b^{5} c^{3} d^{2} {\left| b \right|} - 132 \, \sqrt{b d} a^{5} b^{4} c^{2} d^{3} {\left| b \right|} + 73 \, \sqrt{b d} a^{6} b^{3} c d^{4} {\left| b \right|} - 16 \, \sqrt{b d} a^{7} b^{2} d^{5} {\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)}^{2} a^{2} b^{5} c^{4} {\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)}^{2} a^{3} b^{4} c^{3} d {\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)}^{2} a^{4} b^{3} c^{2} d^{2} {\left| b \right|} + 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)}^{2} a^{5} b^{2} c d^{3} {\left| b \right|} - 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)}^{2} a^{6} 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} a^{2} b^{3} c^{3} {\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^{3} b^{2} c^{2} d {\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)}^{4} a^{4} b c d^{2} {\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^{5} 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^{7}}"," ",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)*d^2*abs(b)/b^8 + (17*b^32*c*d^7*abs(b) - 41*a*b^31*d^8*abs(b))/(b^39*d^6)) + (59*b^33*c^2*d^6*abs(b) - 430*a*b^32*c*d^7*abs(b) + 515*a^2*b^31*d^8*abs(b))/(b^39*d^6)) + 3*(5*b^34*c^3*d^5*abs(b) - 279*a*b^33*c^2*d^6*abs(b) + 975*a^2*b^32*c*d^7*abs(b) - 765*a^3*b^31*d^8*abs(b))/(b^39*d^6))*sqrt(b*x + a) + 5/128*(sqrt(b*d)*b^4*c^4*abs(b) + 20*sqrt(b*d)*a*b^3*c^3*d*abs(b) - 210*sqrt(b*d)*a^2*b^2*c^2*d^2*abs(b) + 420*sqrt(b*d)*a^3*b*c*d^3*abs(b) - 231*sqrt(b*d)*a^4*d^4*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^8*d^2) - 4/3*(9*sqrt(b*d)*a^2*b^7*c^5*abs(b) - 52*sqrt(b*d)*a^3*b^6*c^4*d*abs(b) + 118*sqrt(b*d)*a^4*b^5*c^3*d^2*abs(b) - 132*sqrt(b*d)*a^5*b^4*c^2*d^3*abs(b) + 73*sqrt(b*d)*a^6*b^3*c*d^4*abs(b) - 16*sqrt(b*d)*a^7*b^2*d^5*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))^2*a^2*b^5*c^4*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))^2*a^3*b^4*c^3*d*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))^2*a^4*b^3*c^2*d^2*abs(b) + 108*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^2*c*d^3*abs(b) - 30*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*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*a^2*b^3*c^3*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^3*b^2*c^2*d*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))^4*a^4*b*c*d^2*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^5*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^7)","B",0
795,1,927,0,3.247769," ","integrate(x^2*(d*x+c)^(5/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{1}{24} \, \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)} d^{2} {\left| b \right|}}{b^{7}} + \frac{13 \, b^{21} c d^{5} {\left| b \right|} - 25 \, a b^{20} d^{6} {\left| b \right|}}{b^{27} d^{4}}\right)} + \frac{3 \, {\left(11 \, b^{22} c^{2} d^{4} {\left| b \right|} - 58 \, a b^{21} c d^{5} {\left| b \right|} + 55 \, a^{2} b^{20} d^{6} {\left| b \right|}\right)}}{b^{27} d^{4}}\right)} - \frac{5 \, {\left(\sqrt{b d} b^{3} c^{3} {\left| b \right|} - 15 \, \sqrt{b d} a b^{2} c^{2} d {\left| b \right|} + 35 \, \sqrt{b d} a^{2} b c d^{2} {\left| b \right|} - 21 \, \sqrt{b d} a^{3} d^{3} {\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)}{16 \, b^{7} d} + \frac{4 \, {\left(6 \, \sqrt{b d} a b^{7} c^{5} {\left| b \right|} - 37 \, \sqrt{b d} a^{2} b^{6} c^{4} d {\left| b \right|} + 88 \, \sqrt{b d} a^{3} b^{5} c^{3} d^{2} {\left| b \right|} - 102 \, \sqrt{b d} a^{4} b^{4} c^{2} d^{3} {\left| b \right|} + 58 \, \sqrt{b d} a^{5} b^{3} c d^{4} {\left| b \right|} - 13 \, \sqrt{b d} a^{6} 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} a b^{5} c^{4} {\left| b \right|} + 60 \, \sqrt{b 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^{4} c^{3} d {\left| b \right|} - 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)}^{2} a^{3} b^{3} c^{2} d^{2} {\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)}^{2} a^{4} b^{2} c d^{3} {\left| b \right|} - 24 \, \sqrt{b 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 d^{4} {\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)}^{4} a b^{3} c^{3} {\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^{2} b^{2} c^{2} 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)}^{4} a^{3} b c d^{2} {\left| b \right|} - 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)}^{4} a^{4} 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^{6}}"," ",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)*d^2*abs(b)/b^7 + (13*b^21*c*d^5*abs(b) - 25*a*b^20*d^6*abs(b))/(b^27*d^4)) + 3*(11*b^22*c^2*d^4*abs(b) - 58*a*b^21*c*d^5*abs(b) + 55*a^2*b^20*d^6*abs(b))/(b^27*d^4)) - 5/16*(sqrt(b*d)*b^3*c^3*abs(b) - 15*sqrt(b*d)*a*b^2*c^2*d*abs(b) + 35*sqrt(b*d)*a^2*b*c*d^2*abs(b) - 21*sqrt(b*d)*a^3*d^3*abs(b))*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^7*d) + 4/3*(6*sqrt(b*d)*a*b^7*c^5*abs(b) - 37*sqrt(b*d)*a^2*b^6*c^4*d*abs(b) + 88*sqrt(b*d)*a^3*b^5*c^3*d^2*abs(b) - 102*sqrt(b*d)*a^4*b^4*c^2*d^3*abs(b) + 58*sqrt(b*d)*a^5*b^3*c*d^4*abs(b) - 13*sqrt(b*d)*a^6*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*a*b^5*c^4*abs(b) + 60*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^4*c^3*d*abs(b) - 108*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^3*c^2*d^2*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))^2*a^4*b^2*c*d^3*abs(b) - 24*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*d^4*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))^4*a*b^3*c^3*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^2*b^2*c^2*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))^4*a^3*b*c*d^2*abs(b) - 15*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*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^6)","B",0
796,1,840,0,2.767015," ","integrate(x*(d*x+c)^(5/2)/(b*x+a)^(5/2),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^{6}} + \frac{9 \, b^{12} c d^{3} {\left| b \right|} - 13 \, a b^{11} d^{4} {\left| b \right|}}{b^{17} d^{2}}\right)} - \frac{5 \, {\left(3 \, \sqrt{b d} b^{2} c^{2} {\left| b \right|} - 10 \, \sqrt{b d} a b c d {\left| b \right|} + 7 \, \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^{6}} - \frac{4 \, {\left(3 \, \sqrt{b d} b^{7} c^{5} {\left| b \right|} - 22 \, \sqrt{b d} a b^{6} c^{4} d {\left| b \right|} + 58 \, \sqrt{b d} a^{2} b^{5} c^{3} d^{2} {\left| b \right|} - 72 \, \sqrt{b d} a^{3} b^{4} c^{2} d^{3} {\left| b \right|} + 43 \, \sqrt{b d} a^{4} b^{3} c d^{4} {\left| b \right|} - 10 \, \sqrt{b d} a^{5} b^{2} d^{5} {\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} b^{5} c^{4} {\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^{4} c^{3} d {\left| b \right|} - 72 \, \sqrt{b 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} c^{2} d^{2} {\left| b \right|} + 60 \, \sqrt{b 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^{2} c d^{3} {\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)}^{2} a^{4} b 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)}^{4} b^{3} c^{3} {\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^{2} c^{2} d {\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^{2} b c d^{2} {\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)}^{4} a^{3} 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^{5}}"," ",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^6 + (9*b^12*c*d^3*abs(b) - 13*a*b^11*d^4*abs(b))/(b^17*d^2)) - 5/8*(3*sqrt(b*d)*b^2*c^2*abs(b) - 10*sqrt(b*d)*a*b*c*d*abs(b) + 7*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^6 - 4/3*(3*sqrt(b*d)*b^7*c^5*abs(b) - 22*sqrt(b*d)*a*b^6*c^4*d*abs(b) + 58*sqrt(b*d)*a^2*b^5*c^3*d^2*abs(b) - 72*sqrt(b*d)*a^3*b^4*c^2*d^3*abs(b) + 43*sqrt(b*d)*a^4*b^3*c*d^4*abs(b) - 10*sqrt(b*d)*a^5*b^2*d^5*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*b^5*c^4*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^4*c^3*d*abs(b) - 72*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*c^2*d^2*abs(b) + 60*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^2*c*d^3*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))^2*a^4*b*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))^4*b^3*c^3*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^2*c^2*d*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^2*b*c*d^2*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))^4*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^5)","B",0
797,1,650,0,2.535910," ","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
798,-2,0,0,0.000000," ","integrate((d*x+c)^(5/2)/x/(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:Evaluation time: 0.56"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
799,1,990,0,18.592170," ","integrate((d*x+c)^(5/2)/x^2/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{5 \, {\left(\sqrt{b d} b c^{3} {\left| b \right|} - \sqrt{b d} a c^{2} d {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{3} b} - \frac{2 \, {\left(\sqrt{b d} b^{3} c^{4} {\left| b \right|} - 2 \, \sqrt{b d} a b^{2} c^{3} d {\left| b \right|} + \sqrt{b d} a^{2} b c^{2} d^{2} {\left| b \right|} - \sqrt{b 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 c^{3} {\left| b \right|} - \sqrt{b 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 c^{2} d {\left| b \right|}\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} a^{3}} - \frac{4 \, {\left(6 \, \sqrt{b d} b^{7} c^{5} {\left| b \right|} - 23 \, \sqrt{b d} a b^{6} c^{4} d {\left| b \right|} + 32 \, \sqrt{b d} a^{2} b^{5} c^{3} d^{2} {\left| b \right|} - 18 \, \sqrt{b d} a^{3} b^{4} c^{2} d^{3} {\left| b \right|} + 2 \, \sqrt{b d} a^{4} b^{3} c d^{4} {\left| b \right|} + \sqrt{b d} a^{5} 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^{5} c^{4} {\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^{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^{2} b^{3} c^{2} d^{2} {\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^{2} c d^{3} {\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)}^{4} b^{3} c^{3} {\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 b^{2} c^{2} 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^{3} 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} a^{3} b^{2}}"," ",0,"5*(sqrt(b*d)*b*c^3*abs(b) - sqrt(b*d)*a*c^2*d*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b) - 2*(sqrt(b*d)*b^3*c^4*abs(b) - 2*sqrt(b*d)*a*b^2*c^3*d*abs(b) + sqrt(b*d)*a^2*b*c^2*d^2*abs(b) - sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b*c^3*abs(b) - sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*c^2*d*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*a^3) - 4/3*(6*sqrt(b*d)*b^7*c^5*abs(b) - 23*sqrt(b*d)*a*b^6*c^4*d*abs(b) + 32*sqrt(b*d)*a^2*b^5*c^3*d^2*abs(b) - 18*sqrt(b*d)*a^3*b^4*c^2*d^3*abs(b) + 2*sqrt(b*d)*a^4*b^3*c*d^4*abs(b) + sqrt(b*d)*a^5*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^5*c^4*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^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^2*b^3*c^2*d^2*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^2*c*d^3*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))^4*b^3*c^3*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*b^2*c^2*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^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*a^3*b^2)","B",0
800,1,1694,0,11.672789," ","integrate((d*x+c)^(5/2)/x^3/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{5 \, {\left(7 \, \sqrt{b d} b^{2} c^{3} {\left| b \right|} - 10 \, \sqrt{b d} a b c^{2} d {\left| b \right|} + 3 \, \sqrt{b d} a^{2} c d^{2} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{4 \, \sqrt{-a b c d} a^{4} b} + \frac{11 \, \sqrt{b d} b^{8} c^{6} {\left| b \right|} - 53 \, \sqrt{b d} a b^{7} c^{5} d {\left| b \right|} + 102 \, \sqrt{b d} a^{2} b^{6} c^{4} d^{2} {\left| b \right|} - 98 \, \sqrt{b d} a^{3} b^{5} c^{3} d^{3} {\left| b \right|} + 47 \, \sqrt{b d} a^{4} b^{4} c^{2} d^{4} {\left| b \right|} - 9 \, \sqrt{b d} a^{5} b^{3} c d^{5} {\left| b \right|} - 33 \, \sqrt{b 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^{6} c^{5} {\left| b \right|} + 56 \, \sqrt{b 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^{5} c^{4} d {\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)}^{2} a^{2} b^{4} c^{3} d^{2} {\left| b \right|} - 64 \, \sqrt{b 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^{3} c^{2} d^{3} {\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)}^{2} a^{4} b^{2} c d^{4} {\left| b \right|} + 33 \, \sqrt{b 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^{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)}^{4} a b^{3} c^{3} d {\left| b \right|} + 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)}^{4} a^{2} b^{2} c^{2} d^{2} {\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^{3} b c d^{3} {\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)}^{6} b^{2} c^{3} {\left| b \right|} + 2 \, \sqrt{b 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 c^{2} d {\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)}^{6} a^{2} c d^{2} {\left| b \right|}}{2 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{2} a^{4}} + \frac{4 \, {\left(9 \, \sqrt{b d} b^{6} c^{5} {\left| b \right|} - 38 \, \sqrt{b d} a b^{5} c^{4} d {\left| b \right|} + 62 \, \sqrt{b d} a^{2} b^{4} c^{3} d^{2} {\left| b \right|} - 48 \, \sqrt{b d} a^{3} b^{3} c^{2} d^{3} {\left| b \right|} + 17 \, \sqrt{b d} a^{4} b^{2} c d^{4} {\left| b \right|} - 2 \, \sqrt{b d} a^{5} b d^{5} {\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)}^{2} b^{4} c^{4} {\left| b \right|} + 60 \, \sqrt{b 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^{3} d {\left| b \right|} - 72 \, \sqrt{b 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^{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^{3} b c d^{3} {\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^{4} 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^{3} {\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^{2} d {\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} c 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} a^{4}}"," ",0,"-5/4*(7*sqrt(b*d)*b^2*c^3*abs(b) - 10*sqrt(b*d)*a*b*c^2*d*abs(b) + 3*sqrt(b*d)*a^2*c*d^2*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^4*b) + 1/2*(11*sqrt(b*d)*b^8*c^6*abs(b) - 53*sqrt(b*d)*a*b^7*c^5*d*abs(b) + 102*sqrt(b*d)*a^2*b^6*c^4*d^2*abs(b) - 98*sqrt(b*d)*a^3*b^5*c^3*d^3*abs(b) + 47*sqrt(b*d)*a^4*b^4*c^2*d^4*abs(b) - 9*sqrt(b*d)*a^5*b^3*c*d^5*abs(b) - 33*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^6*c^5*abs(b) + 56*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^5*c^4*d*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))^2*a^2*b^4*c^3*d^2*abs(b) - 64*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^3*c^2*d^3*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))^2*a^4*b^2*c*d^4*abs(b) + 33*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^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))^4*a*b^3*c^3*d*abs(b) + 15*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*c^2*d^2*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^3*b*c*d^3*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))^6*b^2*c^3*abs(b) + 2*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*c^2*d*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))^6*a^2*c*d^2*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^2*a^4) + 4/3*(9*sqrt(b*d)*b^6*c^5*abs(b) - 38*sqrt(b*d)*a*b^5*c^4*d*abs(b) + 62*sqrt(b*d)*a^2*b^4*c^3*d^2*abs(b) - 48*sqrt(b*d)*a^3*b^3*c^2*d^3*abs(b) + 17*sqrt(b*d)*a^4*b^2*c*d^4*abs(b) - 2*sqrt(b*d)*a^5*b*d^5*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))^2*b^4*c^4*abs(b) + 60*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^3*d*abs(b) - 72*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^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^3*b*c*d^3*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^4*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^3*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^2*d*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*c*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*a^4)","B",0
801,-1,0,0,0.000000," ","integrate((d*x+c)^(5/2)/x^4/(b*x+a)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
802,1,4500,0,41.260867," ","integrate((d*x+c)^(5/2)/x^5/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{5 \, {\left(231 \, \sqrt{b d} b^{4} c^{4} {\left| b \right|} - 420 \, \sqrt{b d} a b^{3} c^{3} d {\left| b \right|} + 210 \, \sqrt{b d} a^{2} b^{2} c^{2} d^{2} {\left| b \right|} - 20 \, \sqrt{b d} a^{3} b c d^{3} {\left| b \right|} - \sqrt{b d} a^{4} d^{4} {\left| b \right|}\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{64 \, \sqrt{-a b c d} a^{6} b c} + \frac{4 \, {\left(15 \, \sqrt{b d} b^{8} c^{5} {\left| b \right|} - 68 \, \sqrt{b d} a b^{7} c^{4} d {\left| b \right|} + 122 \, \sqrt{b d} a^{2} b^{6} c^{3} d^{2} {\left| b \right|} - 108 \, \sqrt{b d} a^{3} b^{5} c^{2} d^{3} {\left| b \right|} + 47 \, \sqrt{b d} a^{4} b^{4} c d^{4} {\left| b \right|} - 8 \, \sqrt{b d} a^{5} b^{3} d^{5} {\left| b \right|} - 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)}^{2} b^{6} c^{4} {\left| b \right|} + 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)}^{2} a b^{5} c^{3} d {\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)}^{2} a^{2} b^{4} c^{2} d^{2} {\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)}^{2} a^{3} b^{3} c d^{3} {\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)}^{2} a^{4} b^{2} d^{4} {\left| b \right|} + 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)}^{4} b^{4} c^{3} {\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 b^{3} c^{2} d {\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^{2} b^{2} c d^{2} {\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)}^{4} a^{3} b 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} a^{6}} + \frac{1545 \, \sqrt{b d} b^{18} c^{11} {\left| b \right|} - 14561 \, \sqrt{b d} a b^{17} c^{10} d {\left| b \right|} + 61587 \, \sqrt{b d} a^{2} b^{16} c^{9} d^{2} {\left| b \right|} - 153915 \, \sqrt{b d} a^{3} b^{15} c^{8} d^{3} {\left| b \right|} + 251658 \, \sqrt{b d} a^{4} b^{14} c^{7} d^{4} {\left| b \right|} - 281274 \, \sqrt{b d} a^{5} b^{13} c^{6} d^{5} {\left| b \right|} + 217686 \, \sqrt{b d} a^{6} b^{12} c^{5} d^{6} {\left| b \right|} - 115302 \, \sqrt{b d} a^{7} b^{11} c^{4} d^{7} {\left| b \right|} + 40125 \, \sqrt{b d} a^{8} b^{10} c^{3} d^{8} {\left| b \right|} - 8373 \, \sqrt{b d} a^{9} b^{9} c^{2} d^{9} {\left| b \right|} + 839 \, \sqrt{b d} a^{10} b^{8} c d^{10} {\left| b \right|} - 15 \, \sqrt{b d} a^{11} b^{7} d^{11} {\left| b \right|} - 10815 \, \sqrt{b 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^{10} {\left| b \right|} + 68446 \, \sqrt{b 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^{9} d {\left| b \right|} - 172011 \, \sqrt{b 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^{8} d^{2} {\left| b \right|} + 195176 \, \sqrt{b 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^{7} d^{3} {\left| b \right|} - 29006 \, \sqrt{b 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^{6} d^{4} {\left| b \right|} - 190860 \, \sqrt{b 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^{5} d^{5} {\left| b \right|} + 245954 \, \sqrt{b 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^{4} d^{6} {\left| b \right|} - 145304 \, \sqrt{b 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^{3} d^{7} {\left| b \right|} + 44109 \, \sqrt{b 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} c^{2} d^{8} {\left| b \right|} - 5794 \, \sqrt{b 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^{9} b^{7} c d^{9} {\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)}^{2} a^{10} b^{6} d^{10} {\left| b \right|} + 32445 \, \sqrt{b 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^{9} {\left| b \right|} - 125507 \, \sqrt{b 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^{8} d {\left| b \right|} + 160004 \, \sqrt{b 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^{7} d^{2} {\left| b \right|} - 63660 \, \sqrt{b 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^{6} d^{3} {\left| b \right|} + 44758 \, \sqrt{b 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^{5} d^{4} {\left| b \right|} - 167002 \, \sqrt{b 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^{4} d^{5} {\left| b \right|} + 196500 \, \sqrt{b 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^{3} d^{6} {\left| b \right|} - 94076 \, \sqrt{b 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} c^{2} d^{7} {\left| b \right|} + 16853 \, \sqrt{b 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^{8} b^{6} c d^{8} {\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)}^{4} a^{9} b^{5} d^{9} {\left| b \right|} - 54075 \, \sqrt{b 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^{8} {\left| b \right|} + 110480 \, \sqrt{b 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^{7} d {\left| b \right|} - 57660 \, \sqrt{b 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^{6} d^{2} {\left| b \right|} + 11712 \, \sqrt{b 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^{5} d^{3} {\left| b \right|} + 30006 \, \sqrt{b 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^{4} d^{4} {\left| b \right|} - 118128 \, \sqrt{b 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^{3} d^{5} {\left| b \right|} + 103860 \, \sqrt{b 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} c^{2} d^{6} {\left| b \right|} - 26720 \, \sqrt{b 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^{7} b^{5} c d^{7} {\left| b \right|} + 525 \, \sqrt{b 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^{8} b^{4} d^{8} {\left| b \right|} + 54075 \, \sqrt{b 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^{7} {\left| b \right|} - 46135 \, \sqrt{b 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^{6} d {\left| b \right|} + 8955 \, \sqrt{b 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^{5} d^{2} {\left| b \right|} + 5137 \, \sqrt{b 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^{4} d^{3} {\left| b \right|} + 22697 \, \sqrt{b 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^{3} d^{4} {\left| b \right|} - 62925 \, \sqrt{b 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} c^{2} d^{5} {\left| b \right|} + 24865 \, \sqrt{b 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^{6} b^{4} c d^{6} {\left| b \right|} - 525 \, \sqrt{b 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^{7} b^{3} d^{7} {\left| b \right|} - 32445 \, \sqrt{b 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^{6} {\left| b \right|} + 9686 \, \sqrt{b 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^{5} d {\left| b \right|} + 5893 \, \sqrt{b 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^{4} d^{2} {\left| b \right|} + 9492 \, \sqrt{b 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^{3} d^{3} {\left| b \right|} + 20573 \, \sqrt{b 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} c^{2} d^{4} {\left| b \right|} - 13514 \, \sqrt{b 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^{5} 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^{6} b^{2} d^{6} {\left| b \right|} + 10815 \, \sqrt{b 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^{5} {\left| b \right|} - 4101 \, \sqrt{b 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^{4} d {\left| b \right|} - 7074 \, \sqrt{b 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^{3} d^{2} {\left| b \right|} - 3474 \, \sqrt{b 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} c^{2} d^{3} {\left| b \right|} + 3939 \, \sqrt{b 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^{4} 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^{5} b d^{5} {\left| b \right|} - 1545 \, \sqrt{b 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^{4} {\left| b \right|} + 1692 \, \sqrt{b 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^{3} d {\left| b \right|} + 306 \, \sqrt{b 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} c^{2} d^{2} {\left| b \right|} - 468 \, \sqrt{b 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^{3} b c d^{3} {\left| b \right|} + 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)}^{14} a^{4} d^{4} {\left| b \right|}}{96 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)}^{4} a^{6} c}"," ",0,"-5/64*(231*sqrt(b*d)*b^4*c^4*abs(b) - 420*sqrt(b*d)*a*b^3*c^3*d*abs(b) + 210*sqrt(b*d)*a^2*b^2*c^2*d^2*abs(b) - 20*sqrt(b*d)*a^3*b*c*d^3*abs(b) - sqrt(b*d)*a^4*d^4*abs(b))*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^6*b*c) + 4/3*(15*sqrt(b*d)*b^8*c^5*abs(b) - 68*sqrt(b*d)*a*b^7*c^4*d*abs(b) + 122*sqrt(b*d)*a^2*b^6*c^3*d^2*abs(b) - 108*sqrt(b*d)*a^3*b^5*c^2*d^3*abs(b) + 47*sqrt(b*d)*a^4*b^4*c*d^4*abs(b) - 8*sqrt(b*d)*a^5*b^3*d^5*abs(b) - 30*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^6*c^4*abs(b) + 108*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^5*c^3*d*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))^2*a^2*b^4*c^2*d^2*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))^2*a^3*b^3*c*d^3*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))^2*a^4*b^2*d^4*abs(b) + 15*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^3*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*b^3*c^2*d*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^2*b^2*c*d^2*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))^4*a^3*b*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*a^6) + 1/96*(1545*sqrt(b*d)*b^18*c^11*abs(b) - 14561*sqrt(b*d)*a*b^17*c^10*d*abs(b) + 61587*sqrt(b*d)*a^2*b^16*c^9*d^2*abs(b) - 153915*sqrt(b*d)*a^3*b^15*c^8*d^3*abs(b) + 251658*sqrt(b*d)*a^4*b^14*c^7*d^4*abs(b) - 281274*sqrt(b*d)*a^5*b^13*c^6*d^5*abs(b) + 217686*sqrt(b*d)*a^6*b^12*c^5*d^6*abs(b) - 115302*sqrt(b*d)*a^7*b^11*c^4*d^7*abs(b) + 40125*sqrt(b*d)*a^8*b^10*c^3*d^8*abs(b) - 8373*sqrt(b*d)*a^9*b^9*c^2*d^9*abs(b) + 839*sqrt(b*d)*a^10*b^8*c*d^10*abs(b) - 15*sqrt(b*d)*a^11*b^7*d^11*abs(b) - 10815*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^10*abs(b) + 68446*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^9*d*abs(b) - 172011*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^8*d^2*abs(b) + 195176*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^7*d^3*abs(b) - 29006*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^6*d^4*abs(b) - 190860*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^5*d^5*abs(b) + 245954*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^4*d^6*abs(b) - 145304*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^3*d^7*abs(b) + 44109*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*c^2*d^8*abs(b) - 5794*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a^9*b^7*c*d^9*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))^2*a^10*b^6*d^10*abs(b) + 32445*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^9*abs(b) - 125507*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^8*d*abs(b) + 160004*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^7*d^2*abs(b) - 63660*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^6*d^3*abs(b) + 44758*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^5*d^4*abs(b) - 167002*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^4*d^5*abs(b) + 196500*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^3*d^6*abs(b) - 94076*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*c^2*d^7*abs(b) + 16853*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4*a^8*b^6*c*d^8*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))^4*a^9*b^5*d^9*abs(b) - 54075*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^8*abs(b) + 110480*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^7*d*abs(b) - 57660*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^6*d^2*abs(b) + 11712*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^5*d^3*abs(b) + 30006*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^4*d^4*abs(b) - 118128*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^3*d^5*abs(b) + 103860*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*c^2*d^6*abs(b) - 26720*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^7*b^5*c*d^7*abs(b) + 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^6*a^8*b^4*d^8*abs(b) + 54075*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^7*abs(b) - 46135*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^6*d*abs(b) + 8955*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^5*d^2*abs(b) + 5137*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^4*d^3*abs(b) + 22697*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^3*d^4*abs(b) - 62925*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*c^2*d^5*abs(b) + 24865*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^6*b^4*c*d^6*abs(b) - 525*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^8*a^7*b^3*d^7*abs(b) - 32445*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^6*abs(b) + 9686*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^5*d*abs(b) + 5893*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^4*d^2*abs(b) + 9492*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^3*d^3*abs(b) + 20573*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*c^2*d^4*abs(b) - 13514*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^10*a^5*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^6*b^2*d^6*abs(b) + 10815*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^5*abs(b) - 4101*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^4*d*abs(b) - 7074*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^3*d^2*abs(b) - 3474*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*c^2*d^3*abs(b) + 3939*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^12*a^4*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^5*b*d^5*abs(b) - 1545*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^4*abs(b) + 1692*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^3*d*abs(b) + 306*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*c^2*d^2*abs(b) - 468*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^3*b*c*d^3*abs(b) + 15*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^14*a^4*d^4*abs(b))/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)^4*a^6*c)","B",0
803,1,313,0,2.431331," ","integrate(x^2/(b*x+a)^(5/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{\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)}{\sqrt{b d} b {\left| b \right|}} + \frac{8 \, {\left(3 \, \sqrt{b d} a b^{4} c^{2} - 5 \, \sqrt{b d} a^{2} b^{3} c d + 2 \, \sqrt{b d} a^{3} b^{2} d^{2} - 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 + 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 \, \sqrt{b 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\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 {\left| b \right|}}"," ",0,"-log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(sqrt(b*d)*b*abs(b)) + 8/3*(3*sqrt(b*d)*a*b^4*c^2 - 5*sqrt(b*d)*a^2*b^3*c*d + 2*sqrt(b*d)*a^3*b^2*d^2 - 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 + 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*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*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*abs(b))","B",0
804,1,1562,0,10.613183," ","integrate(x^6/(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{{\left({\left(3 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(b^{20} c^{7} d^{6} - 7 \, a b^{19} c^{6} d^{7} + 21 \, a^{2} b^{18} c^{5} d^{8} - 35 \, a^{3} b^{17} c^{4} d^{9} + 35 \, a^{4} b^{16} c^{3} d^{10} - 21 \, a^{5} b^{15} c^{2} d^{11} + 7 \, a^{6} b^{14} c d^{12} - a^{7} b^{13} d^{13}\right)} {\left(b x + a\right)}}{b^{22} c^{7} d^{7} {\left| b \right|} - 7 \, a b^{21} c^{6} d^{8} {\left| b \right|} + 21 \, a^{2} b^{20} c^{5} d^{9} {\left| b \right|} - 35 \, a^{3} b^{19} c^{4} d^{10} {\left| b \right|} + 35 \, a^{4} b^{18} c^{3} d^{11} {\left| b \right|} - 21 \, a^{5} b^{17} c^{2} d^{12} {\left| b \right|} + 7 \, a^{6} b^{16} c d^{13} {\left| b \right|} - a^{7} b^{15} d^{14} {\left| b \right|}} - \frac{7 \, b^{21} c^{8} d^{5} - 32 \, a b^{20} c^{7} d^{6} + 28 \, a^{2} b^{19} c^{6} d^{7} + 112 \, a^{3} b^{18} c^{5} d^{8} - 350 \, a^{4} b^{17} c^{4} d^{9} + 448 \, a^{5} b^{16} c^{3} d^{10} - 308 \, a^{6} b^{15} c^{2} d^{11} + 112 \, a^{7} b^{14} c d^{12} - 17 \, a^{8} b^{13} d^{13}}{b^{22} c^{7} d^{7} {\left| b \right|} - 7 \, a b^{21} c^{6} d^{8} {\left| b \right|} + 21 \, a^{2} b^{20} c^{5} d^{9} {\left| b \right|} - 35 \, a^{3} b^{19} c^{4} d^{10} {\left| b \right|} + 35 \, a^{4} b^{18} c^{3} d^{11} {\left| b \right|} - 21 \, a^{5} b^{17} c^{2} d^{12} {\left| b \right|} + 7 \, a^{6} b^{16} c d^{13} {\left| b \right|} - a^{7} b^{15} d^{14} {\left| b \right|}}\right)} - \frac{4 \, {\left(35 \, b^{22} c^{9} d^{4} - 195 \, a b^{21} c^{8} d^{5} + 420 \, a^{2} b^{20} c^{7} d^{6} - 380 \, a^{3} b^{19} c^{6} d^{7} - 90 \, a^{4} b^{18} c^{5} d^{8} + 630 \, a^{5} b^{17} c^{4} d^{9} - 756 \, a^{6} b^{16} c^{3} d^{10} + 468 \, a^{7} b^{15} c^{2} d^{11} - 153 \, a^{8} b^{14} c d^{12} + 21 \, a^{9} b^{13} d^{13}\right)}}{b^{22} c^{7} d^{7} {\left| b \right|} - 7 \, a b^{21} c^{6} d^{8} {\left| b \right|} + 21 \, a^{2} b^{20} c^{5} d^{9} {\left| b \right|} - 35 \, a^{3} b^{19} c^{4} d^{10} {\left| b \right|} + 35 \, a^{4} b^{18} c^{3} d^{11} {\left| b \right|} - 21 \, a^{5} b^{17} c^{2} d^{12} {\left| b \right|} + 7 \, a^{6} b^{16} c d^{13} {\left| b \right|} - a^{7} b^{15} d^{14} {\left| b \right|}}\right)} {\left(b x + a\right)} - \frac{3 \, {\left(35 \, b^{23} c^{10} d^{3} - 230 \, a b^{22} c^{9} d^{4} + 615 \, a^{2} b^{21} c^{8} d^{5} - 840 \, a^{3} b^{20} c^{7} d^{6} + 510 \, a^{4} b^{19} c^{6} d^{7} + 204 \, a^{5} b^{18} c^{5} d^{8} - 714 \, a^{6} b^{17} c^{4} d^{9} + 696 \, a^{7} b^{16} c^{3} d^{10} - 369 \, a^{8} b^{15} c^{2} d^{11} + 106 \, a^{9} b^{14} c d^{12} - 13 \, a^{10} b^{13} d^{13}\right)}}{b^{22} c^{7} d^{7} {\left| b \right|} - 7 \, a b^{21} c^{6} d^{8} {\left| b \right|} + 21 \, a^{2} b^{20} c^{5} d^{9} {\left| b \right|} - 35 \, a^{3} b^{19} c^{4} d^{10} {\left| b \right|} + 35 \, a^{4} b^{18} c^{3} d^{11} {\left| b \right|} - 21 \, a^{5} b^{17} c^{2} d^{12} {\left| b \right|} + 7 \, a^{6} b^{16} c d^{13} {\left| b \right|} - a^{7} b^{15} d^{14} {\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{8 \, {\left(9 \, \sqrt{b d} a^{5} b^{5} c^{3} - 23 \, \sqrt{b d} a^{6} b^{4} c^{2} d + 19 \, \sqrt{b d} a^{7} b^{3} c d^{2} - 5 \, \sqrt{b d} a^{8} b^{2} d^{3} - 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)}^{2} a^{5} b^{3} c^{2} + 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)}^{2} a^{6} b^{2} 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^{7} b d^{2} + 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^{5} b c - 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)}^{4} a^{6} d\right)}}{3 \, {\left(b^{6} c^{3} {\left| b \right|} - 3 \, a b^{5} c^{2} d {\left| b \right|} + 3 \, a^{2} b^{4} c d^{2} {\left| b \right|} - a^{3} b^{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}} - \frac{5 \, {\left(7 \, \sqrt{b d} b^{2} c^{2} + 10 \, \sqrt{b d} a b c d + 7 \, \sqrt{b 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)}^{2}\right)}{8 \, b^{4} d^{5} {\left| b \right|}}"," ",0,"1/12*((3*(b*x + a)*(2*(b^20*c^7*d^6 - 7*a*b^19*c^6*d^7 + 21*a^2*b^18*c^5*d^8 - 35*a^3*b^17*c^4*d^9 + 35*a^4*b^16*c^3*d^10 - 21*a^5*b^15*c^2*d^11 + 7*a^6*b^14*c*d^12 - a^7*b^13*d^13)*(b*x + a)/(b^22*c^7*d^7*abs(b) - 7*a*b^21*c^6*d^8*abs(b) + 21*a^2*b^20*c^5*d^9*abs(b) - 35*a^3*b^19*c^4*d^10*abs(b) + 35*a^4*b^18*c^3*d^11*abs(b) - 21*a^5*b^17*c^2*d^12*abs(b) + 7*a^6*b^16*c*d^13*abs(b) - a^7*b^15*d^14*abs(b)) - (7*b^21*c^8*d^5 - 32*a*b^20*c^7*d^6 + 28*a^2*b^19*c^6*d^7 + 112*a^3*b^18*c^5*d^8 - 350*a^4*b^17*c^4*d^9 + 448*a^5*b^16*c^3*d^10 - 308*a^6*b^15*c^2*d^11 + 112*a^7*b^14*c*d^12 - 17*a^8*b^13*d^13)/(b^22*c^7*d^7*abs(b) - 7*a*b^21*c^6*d^8*abs(b) + 21*a^2*b^20*c^5*d^9*abs(b) - 35*a^3*b^19*c^4*d^10*abs(b) + 35*a^4*b^18*c^3*d^11*abs(b) - 21*a^5*b^17*c^2*d^12*abs(b) + 7*a^6*b^16*c*d^13*abs(b) - a^7*b^15*d^14*abs(b))) - 4*(35*b^22*c^9*d^4 - 195*a*b^21*c^8*d^5 + 420*a^2*b^20*c^7*d^6 - 380*a^3*b^19*c^6*d^7 - 90*a^4*b^18*c^5*d^8 + 630*a^5*b^17*c^4*d^9 - 756*a^6*b^16*c^3*d^10 + 468*a^7*b^15*c^2*d^11 - 153*a^8*b^14*c*d^12 + 21*a^9*b^13*d^13)/(b^22*c^7*d^7*abs(b) - 7*a*b^21*c^6*d^8*abs(b) + 21*a^2*b^20*c^5*d^9*abs(b) - 35*a^3*b^19*c^4*d^10*abs(b) + 35*a^4*b^18*c^3*d^11*abs(b) - 21*a^5*b^17*c^2*d^12*abs(b) + 7*a^6*b^16*c*d^13*abs(b) - a^7*b^15*d^14*abs(b)))*(b*x + a) - 3*(35*b^23*c^10*d^3 - 230*a*b^22*c^9*d^4 + 615*a^2*b^21*c^8*d^5 - 840*a^3*b^20*c^7*d^6 + 510*a^4*b^19*c^6*d^7 + 204*a^5*b^18*c^5*d^8 - 714*a^6*b^17*c^4*d^9 + 696*a^7*b^16*c^3*d^10 - 369*a^8*b^15*c^2*d^11 + 106*a^9*b^14*c*d^12 - 13*a^10*b^13*d^13)/(b^22*c^7*d^7*abs(b) - 7*a*b^21*c^6*d^8*abs(b) + 21*a^2*b^20*c^5*d^9*abs(b) - 35*a^3*b^19*c^4*d^10*abs(b) + 35*a^4*b^18*c^3*d^11*abs(b) - 21*a^5*b^17*c^2*d^12*abs(b) + 7*a^6*b^16*c*d^13*abs(b) - a^7*b^15*d^14*abs(b)))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + 8/3*(9*sqrt(b*d)*a^5*b^5*c^3 - 23*sqrt(b*d)*a^6*b^4*c^2*d + 19*sqrt(b*d)*a^7*b^3*c*d^2 - 5*sqrt(b*d)*a^8*b^2*d^3 - 18*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^3*c^2 + 27*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^2*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^7*b*d^2 + 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^5*b*c - 6*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*d)/((b^6*c^3*abs(b) - 3*a*b^5*c^2*d*abs(b) + 3*a^2*b^4*c*d^2*abs(b) - a^3*b^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) - 5/8*(7*sqrt(b*d)*b^2*c^2 + 10*sqrt(b*d)*a*b*c*d + 7*sqrt(b*d)*a^2*d^2)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^4*d^5*abs(b))","B",0
805,1,1272,0,7.595810," ","integrate(x^5/(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^{13} c^{7} d^{4} {\left| b \right|} - 7 \, a b^{12} c^{6} d^{5} {\left| b \right|} + 21 \, a^{2} b^{11} c^{5} d^{6} {\left| b \right|} - 35 \, a^{3} b^{10} c^{4} d^{7} {\left| b \right|} + 35 \, a^{4} b^{9} c^{3} d^{8} {\left| b \right|} - 21 \, a^{5} b^{8} c^{2} d^{9} {\left| b \right|} + 7 \, a^{6} b^{7} c d^{10} {\left| b \right|} - a^{7} b^{6} d^{11} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{16} c^{7} d^{5} - 7 \, a b^{15} c^{6} d^{6} + 21 \, a^{2} b^{14} c^{5} d^{7} - 35 \, a^{3} b^{13} c^{4} d^{8} + 35 \, a^{4} b^{12} c^{3} d^{9} - 21 \, a^{5} b^{11} c^{2} d^{10} + 7 \, a^{6} b^{10} c d^{11} - a^{7} b^{9} d^{12}} + \frac{2 \, {\left(10 \, b^{14} c^{8} d^{3} {\left| b \right|} - 60 \, a b^{13} c^{7} d^{4} {\left| b \right|} + 150 \, a^{2} b^{12} c^{6} d^{5} {\left| b \right|} - 220 \, a^{3} b^{11} c^{5} d^{6} {\left| b \right|} + 225 \, a^{4} b^{10} c^{4} d^{7} {\left| b \right|} - 168 \, a^{5} b^{9} c^{3} d^{8} {\left| b \right|} + 84 \, a^{6} b^{8} c^{2} d^{9} {\left| b \right|} - 24 \, a^{7} b^{7} c d^{10} {\left| b \right|} + 3 \, a^{8} b^{6} d^{11} {\left| b \right|}\right)}}{b^{16} c^{7} d^{5} - 7 \, a b^{15} c^{6} d^{6} + 21 \, a^{2} b^{14} c^{5} d^{7} - 35 \, a^{3} b^{13} c^{4} d^{8} + 35 \, a^{4} b^{12} c^{3} d^{9} - 21 \, a^{5} b^{11} c^{2} d^{10} + 7 \, a^{6} b^{10} c d^{11} - a^{7} b^{9} d^{12}}\right)} + \frac{3 \, {\left(5 \, b^{15} c^{9} d^{2} {\left| b \right|} - 35 \, a b^{14} c^{8} d^{3} {\left| b \right|} + 100 \, a^{2} b^{13} c^{7} d^{4} {\left| b \right|} - 160 \, a^{3} b^{12} c^{6} d^{5} {\left| b \right|} + 170 \, a^{4} b^{11} c^{5} d^{6} {\left| b \right|} - 136 \, a^{5} b^{10} c^{4} d^{7} {\left| b \right|} + 84 \, a^{6} b^{9} c^{3} d^{8} {\left| b \right|} - 36 \, a^{7} b^{8} c^{2} d^{9} {\left| b \right|} + 9 \, a^{8} b^{7} c d^{10} {\left| b \right|} - a^{9} b^{6} d^{11} {\left| b \right|}\right)}}{b^{16} c^{7} d^{5} - 7 \, a b^{15} c^{6} d^{6} + 21 \, a^{2} b^{14} c^{5} d^{7} - 35 \, a^{3} b^{13} c^{4} d^{8} + 35 \, a^{4} b^{12} c^{3} d^{9} - 21 \, a^{5} b^{11} c^{2} d^{10} + 7 \, a^{6} b^{10} c d^{11} - a^{7} b^{9} d^{12}}\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{4 \, {\left(15 \, \sqrt{b d} a^{4} b^{5} c^{3} - 37 \, \sqrt{b d} a^{5} b^{4} c^{2} d + 29 \, \sqrt{b d} a^{6} b^{3} c d^{2} - 7 \, \sqrt{b d} a^{7} b^{2} d^{3} - 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)}^{2} a^{4} b^{3} c^{2} + 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^{5} b^{2} 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^{6} b d^{2} + 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)}^{4} a^{4} b c - 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^{5} d\right)}}{3 \, {\left(b^{5} c^{3} {\left| b \right|} - 3 \, a b^{4} c^{2} d {\left| b \right|} + 3 \, a^{2} b^{3} c d^{2} {\left| b \right|} - a^{3} b^{2} 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}} + \frac{5 \, {\left(\sqrt{b d} b c + \sqrt{b d} 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)}^{2}\right)}{2 \, b^{3} d^{4} {\left| b \right|}}"," ",0,"1/3*((b*x + a)*(3*(b^13*c^7*d^4*abs(b) - 7*a*b^12*c^6*d^5*abs(b) + 21*a^2*b^11*c^5*d^6*abs(b) - 35*a^3*b^10*c^4*d^7*abs(b) + 35*a^4*b^9*c^3*d^8*abs(b) - 21*a^5*b^8*c^2*d^9*abs(b) + 7*a^6*b^7*c*d^10*abs(b) - a^7*b^6*d^11*abs(b))*(b*x + a)/(b^16*c^7*d^5 - 7*a*b^15*c^6*d^6 + 21*a^2*b^14*c^5*d^7 - 35*a^3*b^13*c^4*d^8 + 35*a^4*b^12*c^3*d^9 - 21*a^5*b^11*c^2*d^10 + 7*a^6*b^10*c*d^11 - a^7*b^9*d^12) + 2*(10*b^14*c^8*d^3*abs(b) - 60*a*b^13*c^7*d^4*abs(b) + 150*a^2*b^12*c^6*d^5*abs(b) - 220*a^3*b^11*c^5*d^6*abs(b) + 225*a^4*b^10*c^4*d^7*abs(b) - 168*a^5*b^9*c^3*d^8*abs(b) + 84*a^6*b^8*c^2*d^9*abs(b) - 24*a^7*b^7*c*d^10*abs(b) + 3*a^8*b^6*d^11*abs(b))/(b^16*c^7*d^5 - 7*a*b^15*c^6*d^6 + 21*a^2*b^14*c^5*d^7 - 35*a^3*b^13*c^4*d^8 + 35*a^4*b^12*c^3*d^9 - 21*a^5*b^11*c^2*d^10 + 7*a^6*b^10*c*d^11 - a^7*b^9*d^12)) + 3*(5*b^15*c^9*d^2*abs(b) - 35*a*b^14*c^8*d^3*abs(b) + 100*a^2*b^13*c^7*d^4*abs(b) - 160*a^3*b^12*c^6*d^5*abs(b) + 170*a^4*b^11*c^5*d^6*abs(b) - 136*a^5*b^10*c^4*d^7*abs(b) + 84*a^6*b^9*c^3*d^8*abs(b) - 36*a^7*b^8*c^2*d^9*abs(b) + 9*a^8*b^7*c*d^10*abs(b) - a^9*b^6*d^11*abs(b))/(b^16*c^7*d^5 - 7*a*b^15*c^6*d^6 + 21*a^2*b^14*c^5*d^7 - 35*a^3*b^13*c^4*d^8 + 35*a^4*b^12*c^3*d^9 - 21*a^5*b^11*c^2*d^10 + 7*a^6*b^10*c*d^11 - a^7*b^9*d^12))*sqrt(b*x + a)/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 4/3*(15*sqrt(b*d)*a^4*b^5*c^3 - 37*sqrt(b*d)*a^5*b^4*c^2*d + 29*sqrt(b*d)*a^6*b^3*c*d^2 - 7*sqrt(b*d)*a^7*b^2*d^3 - 30*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*c^2 + 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^5*b^2*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^6*b*d^2 + 15*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*c - 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^5*d)/((b^5*c^3*abs(b) - 3*a*b^4*c^2*d*abs(b) + 3*a^2*b^3*c*d^2*abs(b) - a^3*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)^3) + 5/2*(sqrt(b*d)*b*c + sqrt(b*d)*a*d)*log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(b^3*d^4*abs(b))","B",0
806,1,915,0,5.038524," ","integrate(x^4/(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{4 \, {\left(b^{10} c^{7} d^{2} - 6 \, a b^{9} c^{6} d^{3} + 12 \, a^{2} b^{8} c^{5} d^{4} - 10 \, a^{3} b^{7} c^{4} d^{5} + 3 \, a^{4} b^{6} c^{3} d^{6}\right)} {\left(b x + a\right)}}{b^{10} c^{7} d^{3} {\left| b \right|} - 7 \, a b^{9} c^{6} d^{4} {\left| b \right|} + 21 \, a^{2} b^{8} c^{5} d^{5} {\left| b \right|} - 35 \, a^{3} b^{7} c^{4} d^{6} {\left| b \right|} + 35 \, a^{4} b^{6} c^{3} d^{7} {\left| b \right|} - 21 \, a^{5} b^{5} c^{2} d^{8} {\left| b \right|} + 7 \, a^{6} b^{4} c d^{9} {\left| b \right|} - a^{7} b^{3} d^{10} {\left| b \right|}} + \frac{3 \, {\left(b^{11} c^{8} d - 8 \, a b^{10} c^{7} d^{2} + 22 \, a^{2} b^{9} c^{6} d^{3} - 28 \, a^{3} b^{8} c^{5} d^{4} + 17 \, a^{4} b^{7} c^{4} d^{5} - 4 \, a^{5} b^{6} c^{3} d^{6}\right)}}{b^{10} c^{7} d^{3} {\left| b \right|} - 7 \, a b^{9} c^{6} d^{4} {\left| b \right|} + 21 \, a^{2} b^{8} c^{5} d^{5} {\left| b \right|} - 35 \, a^{3} b^{7} c^{4} d^{6} {\left| b \right|} + 35 \, a^{4} b^{6} c^{3} d^{7} {\left| b \right|} - 21 \, a^{5} b^{5} c^{2} d^{8} {\left| b \right|} + 7 \, a^{6} b^{4} c d^{9} {\left| b \right|} - a^{7} b^{3} d^{10} {\left| b \right|}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} + \frac{8 \, {\left(6 \, \sqrt{b d} a^{3} b^{5} c^{3} - 14 \, \sqrt{b d} a^{4} b^{4} c^{2} d + 10 \, \sqrt{b d} a^{5} b^{3} c d^{2} - 2 \, \sqrt{b d} a^{6} b^{2} 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} a^{3} b^{3} c^{2} + 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)}^{2} a^{4} b^{2} c d - 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^{5} b d^{2} + 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)}^{4} a^{3} b c - 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^{4} d\right)}}{3 \, {\left(b^{4} c^{3} {\left| b \right|} - 3 \, a b^{3} c^{2} d {\left| b \right|} + 3 \, a^{2} b^{2} c d^{2} {\left| b \right|} - a^{3} b 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}} - \frac{\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)}{\sqrt{b d} b d^{2} {\left| b \right|}}"," ",0,"-2/3*sqrt(b*x + a)*(4*(b^10*c^7*d^2 - 6*a*b^9*c^6*d^3 + 12*a^2*b^8*c^5*d^4 - 10*a^3*b^7*c^4*d^5 + 3*a^4*b^6*c^3*d^6)*(b*x + a)/(b^10*c^7*d^3*abs(b) - 7*a*b^9*c^6*d^4*abs(b) + 21*a^2*b^8*c^5*d^5*abs(b) - 35*a^3*b^7*c^4*d^6*abs(b) + 35*a^4*b^6*c^3*d^7*abs(b) - 21*a^5*b^5*c^2*d^8*abs(b) + 7*a^6*b^4*c*d^9*abs(b) - a^7*b^3*d^10*abs(b)) + 3*(b^11*c^8*d - 8*a*b^10*c^7*d^2 + 22*a^2*b^9*c^6*d^3 - 28*a^3*b^8*c^5*d^4 + 17*a^4*b^7*c^4*d^5 - 4*a^5*b^6*c^3*d^6)/(b^10*c^7*d^3*abs(b) - 7*a*b^9*c^6*d^4*abs(b) + 21*a^2*b^8*c^5*d^5*abs(b) - 35*a^3*b^7*c^4*d^6*abs(b) + 35*a^4*b^6*c^3*d^7*abs(b) - 21*a^5*b^5*c^2*d^8*abs(b) + 7*a^6*b^4*c*d^9*abs(b) - a^7*b^3*d^10*abs(b)))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + 8/3*(6*sqrt(b*d)*a^3*b^5*c^3 - 14*sqrt(b*d)*a^4*b^4*c^2*d + 10*sqrt(b*d)*a^5*b^3*c*d^2 - 2*sqrt(b*d)*a^6*b^2*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*a^3*b^3*c^2 + 15*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^2*c*d - 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^5*b*d^2 + 6*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*c - 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^4*d)/((b^4*c^3*abs(b) - 3*a*b^3*c^2*d*abs(b) + 3*a^2*b^2*c*d^2*abs(b) - a^3*b*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) - log((sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2)/(sqrt(b*d)*b*d^2*abs(b))","B",0
807,1,771,0,3.969824," ","integrate(x^3/(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(b^{7} c^{6} d {\left| b \right|} - 12 \, a b^{6} c^{5} d^{2} {\left| b \right|} + 30 \, a^{2} b^{5} c^{4} d^{3} {\left| b \right|} - 28 \, a^{3} b^{4} c^{3} d^{4} {\left| b \right|} + 9 \, a^{4} b^{3} c^{2} d^{5} {\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(a b^{7} c^{6} d {\left| b \right|} - 4 \, a^{2} b^{6} c^{5} d^{2} {\left| b \right|} + 6 \, a^{3} b^{5} c^{4} d^{3} {\left| b \right|} - 4 \, a^{4} b^{4} c^{3} d^{4} {\left| b \right|} + a^{5} b^{3} c^{2} d^{5} {\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{4 \, {\left(9 \, \sqrt{b d} a^{2} b^{5} c^{3} - 19 \, \sqrt{b d} a^{3} b^{4} c^{2} d + 11 \, \sqrt{b d} a^{4} b^{3} c d^{2} - \sqrt{b d} a^{5} b^{2} d^{3} - 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)}^{2} a^{2} b^{3} c^{2} + 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)}^{2} a^{3} b^{2} 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)}^{4} a^{2} b c - 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^{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)*((b^7*c^6*d*abs(b) - 12*a*b^6*c^5*d^2*abs(b) + 30*a^2*b^5*c^4*d^3*abs(b) - 28*a^3*b^4*c^3*d^4*abs(b) + 9*a^4*b^3*c^2*d^5*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*(a*b^7*c^6*d*abs(b) - 4*a^2*b^6*c^5*d^2*abs(b) + 6*a^3*b^5*c^4*d^3*abs(b) - 4*a^4*b^4*c^3*d^4*abs(b) + a^5*b^3*c^2*d^5*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) - 4/3*(9*sqrt(b*d)*a^2*b^5*c^3 - 19*sqrt(b*d)*a^3*b^4*c^2*d + 11*sqrt(b*d)*a^4*b^3*c*d^2 - sqrt(b*d)*a^5*b^2*d^3 - 18*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*c^2 + 18*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^2*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))^4*a^2*b*c - 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^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
808,1,769,0,3.841567," ","integrate(x^2/(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{2 \, {\left(b^{7} c^{5} d^{2} {\left| b \right|} - 6 \, a^{2} b^{5} c^{3} d^{4} {\left| b \right|} + 8 \, a^{3} b^{4} c^{2} d^{5} {\left| b \right|} - 3 \, a^{4} b^{3} c d^{6} {\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{3 \, {\left(b^{8} c^{6} d {\left| b \right|} - 2 \, a b^{7} c^{5} d^{2} {\left| b \right|} - 2 \, a^{2} b^{6} c^{4} d^{3} {\left| b \right|} + 8 \, a^{3} b^{5} c^{3} d^{4} {\left| b \right|} - 7 \, a^{4} b^{4} c^{2} d^{5} {\left| b \right|} + 2 \, a^{5} b^{3} c d^{6} {\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(3 \, \sqrt{b d} a b^{6} c^{3} - 5 \, \sqrt{b d} a^{2} b^{5} c^{2} d + \sqrt{b d} a^{3} b^{4} c d^{2} + \sqrt{b d} a^{4} b^{3} d^{3} - 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^{4} c^{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)}^{2} a^{2} b^{3} c d + 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^{3} b^{2} 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} a b^{2} c\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)*(2*(b^7*c^5*d^2*abs(b) - 6*a^2*b^5*c^3*d^4*abs(b) + 8*a^3*b^4*c^2*d^5*abs(b) - 3*a^4*b^3*c*d^6*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) + 3*(b^8*c^6*d*abs(b) - 2*a*b^7*c^5*d^2*abs(b) - 2*a^2*b^6*c^4*d^3*abs(b) + 8*a^3*b^5*c^3*d^4*abs(b) - 7*a^4*b^4*c^2*d^5*abs(b) + 2*a^5*b^3*c*d^6*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*(3*sqrt(b*d)*a*b^6*c^3 - 5*sqrt(b*d)*a^2*b^5*c^2*d + sqrt(b*d)*a^3*b^4*c*d^2 + sqrt(b*d)*a^4*b^3*d^3 - 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^4*c^2 + 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^3*c*d + 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^3*b^2*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*a*b^2*c)/((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
809,1,829,0,3.788493," ","integrate(x/(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{\sqrt{b x + a} {\left(\frac{{\left(5 \, b^{8} c^{4} d^{3} {\left| b \right|} - 12 \, 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|} - 3 \, a^{4} 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{3 \, {\left(2 \, b^{9} c^{5} d^{2} {\left| b \right|} - 7 \, a b^{8} c^{4} d^{3} {\left| b \right|} + 8 \, a^{2} b^{7} c^{3} d^{4} {\left| b \right|} - 2 \, a^{3} b^{6} c^{2} d^{5} {\left| b \right|} - 2 \, a^{4} b^{5} c d^{6} {\left| b \right|} + a^{5} 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)}}{{\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} + \frac{2 \, {\left(3 \, \sqrt{b d} b^{8} c^{3} - \sqrt{b d} a b^{7} c^{2} d - 7 \, \sqrt{b d} a^{2} b^{6} c d^{2} + 5 \, \sqrt{b d} a^{3} b^{5} d^{3} - 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} b^{6} c^{2} - 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^{5} 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^{2} 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^{4} c + 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 b^{3} d\right)}}{{\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}}\right)}}{3 \, b}"," ",0,"-2/3*(sqrt(b*x + a)*((5*b^8*c^4*d^3*abs(b) - 12*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) - 3*a^4*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) + 3*(2*b^9*c^5*d^2*abs(b) - 7*a*b^8*c^4*d^3*abs(b) + 8*a^2*b^7*c^3*d^4*abs(b) - 2*a^3*b^6*c^2*d^5*abs(b) - 2*a^4*b^5*c*d^6*abs(b) + a^5*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) + 2*(3*sqrt(b*d)*b^8*c^3 - sqrt(b*d)*a*b^7*c^2*d - 7*sqrt(b*d)*a^2*b^6*c*d^2 + 5*sqrt(b*d)*a^3*b^5*d^3 - 6*sqrt(b*d)*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^6*c^2 - 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^5*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^2*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^4*c + 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*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","B",0
810,1,670,0,2.657955," ","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
811,1,942,0,10.678309," ","integrate(1/x/(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(11 \, b^{7} c^{6} d^{5} {\left| b \right|} - 36 \, a b^{6} c^{5} d^{6} {\left| b \right|} + 42 \, a^{2} b^{5} c^{4} d^{7} {\left| b \right|} - 20 \, a^{3} b^{4} c^{3} d^{8} {\left| b \right|} + 3 \, a^{4} b^{3} c^{2} d^{9} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{9} c^{11} d - 7 \, a b^{8} c^{10} d^{2} + 21 \, a^{2} b^{7} c^{9} d^{3} - 35 \, a^{3} b^{6} c^{8} d^{4} + 35 \, a^{4} b^{5} c^{7} d^{5} - 21 \, a^{5} b^{4} c^{6} d^{6} + 7 \, a^{6} b^{3} c^{5} d^{7} - a^{7} b^{2} c^{4} d^{8}} + \frac{3 \, {\left(4 \, b^{8} c^{7} d^{4} {\left| b \right|} - 17 \, a b^{7} c^{6} d^{5} {\left| b \right|} + 28 \, a^{2} b^{6} c^{5} d^{6} {\left| b \right|} - 22 \, a^{3} b^{5} c^{4} d^{7} {\left| b \right|} + 8 \, a^{4} b^{4} c^{3} d^{8} {\left| b \right|} - a^{5} b^{3} c^{2} d^{9} {\left| b \right|}\right)}}{b^{9} c^{11} d - 7 \, a b^{8} c^{10} d^{2} + 21 \, a^{2} b^{7} c^{9} d^{3} - 35 \, a^{3} b^{6} c^{8} d^{4} + 35 \, a^{4} b^{5} c^{7} d^{5} - 21 \, a^{5} b^{4} c^{6} d^{6} + 7 \, a^{6} b^{3} c^{5} d^{7} - a^{7} b^{2} c^{4} d^{8}}\right)}}{3 \, {\left(b^{2} c + {\left(b x + a\right)} b d - a b d\right)}^{\frac{3}{2}}} + \frac{4 \, {\left(3 \, \sqrt{b d} b^{9} c^{3} - 17 \, \sqrt{b d} a b^{8} c^{2} d + 25 \, \sqrt{b d} a^{2} b^{7} c d^{2} - 11 \, \sqrt{b d} a^{3} b^{6} d^{3} - 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} b^{7} c^{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)}^{2} a b^{6} c d - 24 \, \sqrt{b 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} 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^{5} c - 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 b^{4} d\right)}}{3 \, {\left(a^{2} b^{3} c^{3} {\left| b \right|} - 3 \, a^{3} b^{2} c^{2} d {\left| b \right|} + 3 \, a^{4} b c d^{2} {\left| b \right|} - a^{5} 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}} - \frac{2 \, \sqrt{b d} b \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{2} c^{2} {\left| b \right|}}"," ",0,"-2/3*sqrt(b*x + a)*((11*b^7*c^6*d^5*abs(b) - 36*a*b^6*c^5*d^6*abs(b) + 42*a^2*b^5*c^4*d^7*abs(b) - 20*a^3*b^4*c^3*d^8*abs(b) + 3*a^4*b^3*c^2*d^9*abs(b))*(b*x + a)/(b^9*c^11*d - 7*a*b^8*c^10*d^2 + 21*a^2*b^7*c^9*d^3 - 35*a^3*b^6*c^8*d^4 + 35*a^4*b^5*c^7*d^5 - 21*a^5*b^4*c^6*d^6 + 7*a^6*b^3*c^5*d^7 - a^7*b^2*c^4*d^8) + 3*(4*b^8*c^7*d^4*abs(b) - 17*a*b^7*c^6*d^5*abs(b) + 28*a^2*b^6*c^5*d^6*abs(b) - 22*a^3*b^5*c^4*d^7*abs(b) + 8*a^4*b^4*c^3*d^8*abs(b) - a^5*b^3*c^2*d^9*abs(b))/(b^9*c^11*d - 7*a*b^8*c^10*d^2 + 21*a^2*b^7*c^9*d^3 - 35*a^3*b^6*c^8*d^4 + 35*a^4*b^5*c^7*d^5 - 21*a^5*b^4*c^6*d^6 + 7*a^6*b^3*c^5*d^7 - a^7*b^2*c^4*d^8))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) + 4/3*(3*sqrt(b*d)*b^9*c^3 - 17*sqrt(b*d)*a*b^8*c^2*d + 25*sqrt(b*d)*a^2*b^7*c*d^2 - 11*sqrt(b*d)*a^3*b^6*d^3 - 6*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^2 + 30*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*d - 24*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*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^5*c - 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*b^4*d)/((a^2*b^3*c^3*abs(b) - 3*a^3*b^2*c^2*d*abs(b) + 3*a^4*b*c*d^2*abs(b) - a^5*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) - 2*sqrt(b*d)*b*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^2*c^2*abs(b))","B",0
812,1,1272,0,30.089282," ","integrate(1/x^2/(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{2 \, {\left(7 \, b^{7} c^{7} d^{6} {\left| b \right|} - 24 \, a b^{6} c^{6} d^{7} {\left| b \right|} + 30 \, a^{2} b^{5} c^{5} d^{8} {\left| b \right|} - 16 \, a^{3} b^{4} c^{4} d^{9} {\left| b \right|} + 3 \, a^{4} b^{3} c^{3} d^{10} {\left| b \right|}\right)} {\left(b x + a\right)}}{b^{9} c^{13} d - 7 \, a b^{8} c^{12} d^{2} + 21 \, a^{2} b^{7} c^{11} d^{3} - 35 \, a^{3} b^{6} c^{10} d^{4} + 35 \, a^{4} b^{5} c^{9} d^{5} - 21 \, a^{5} b^{4} c^{8} d^{6} + 7 \, a^{6} b^{3} c^{7} d^{7} - a^{7} b^{2} c^{6} d^{8}} + \frac{3 \, {\left(5 \, b^{8} c^{8} d^{5} {\left| b \right|} - 22 \, a b^{7} c^{7} d^{6} {\left| b \right|} + 38 \, a^{2} b^{6} c^{6} d^{7} {\left| b \right|} - 32 \, a^{3} b^{5} c^{5} d^{8} {\left| b \right|} + 13 \, a^{4} b^{4} c^{4} d^{9} {\left| b \right|} - 2 \, a^{5} b^{3} c^{3} d^{10} {\left| b \right|}\right)}}{b^{9} c^{13} d - 7 \, a b^{8} c^{12} d^{2} + 21 \, a^{2} b^{7} c^{11} d^{3} - 35 \, a^{3} b^{6} c^{10} d^{4} + 35 \, a^{4} b^{5} c^{9} d^{5} - 21 \, a^{5} b^{4} c^{8} d^{6} + 7 \, a^{6} b^{3} c^{7} d^{7} - a^{7} b^{2} c^{6} 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(3 \, \sqrt{b d} b^{10} c^{3} - 13 \, \sqrt{b d} a b^{9} c^{2} d + 17 \, \sqrt{b d} a^{2} b^{8} c d^{2} - 7 \, \sqrt{b d} a^{3} b^{7} d^{3} - 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} b^{8} c^{2} + 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 d - 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)}^{2} a^{2} b^{6} 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^{6} c - 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)}^{4} a b^{5} d\right)}}{3 \, {\left(a^{3} b^{3} c^{3} {\left| b \right|} - 3 \, a^{4} b^{2} c^{2} d {\left| b \right|} + 3 \, a^{5} b c d^{2} {\left| b \right|} - a^{6} 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}} + \frac{5 \, {\left(\sqrt{b d} b^{3} c + \sqrt{b d} a b^{2} d\right)} \arctan\left(-\frac{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}}{2 \, \sqrt{-a b c d} b}\right)}{\sqrt{-a b c d} a^{3} b c^{3} {\left| b \right|}} - \frac{2 \, {\left(\sqrt{b d} b^{5} c^{2} - 2 \, \sqrt{b d} a b^{4} c d + \sqrt{b d} a^{2} b^{3} d^{2} - \sqrt{b 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 - \sqrt{b 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} d\right)}}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2} - 2 \, {\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 - 2 \, {\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 + {\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)} a^{3} c^{3} {\left| b \right|}}"," ",0,"2/3*sqrt(b*x + a)*(2*(7*b^7*c^7*d^6*abs(b) - 24*a*b^6*c^6*d^7*abs(b) + 30*a^2*b^5*c^5*d^8*abs(b) - 16*a^3*b^4*c^4*d^9*abs(b) + 3*a^4*b^3*c^3*d^10*abs(b))*(b*x + a)/(b^9*c^13*d - 7*a*b^8*c^12*d^2 + 21*a^2*b^7*c^11*d^3 - 35*a^3*b^6*c^10*d^4 + 35*a^4*b^5*c^9*d^5 - 21*a^5*b^4*c^8*d^6 + 7*a^6*b^3*c^7*d^7 - a^7*b^2*c^6*d^8) + 3*(5*b^8*c^8*d^5*abs(b) - 22*a*b^7*c^7*d^6*abs(b) + 38*a^2*b^6*c^6*d^7*abs(b) - 32*a^3*b^5*c^5*d^8*abs(b) + 13*a^4*b^4*c^4*d^9*abs(b) - 2*a^5*b^3*c^3*d^10*abs(b))/(b^9*c^13*d - 7*a*b^8*c^12*d^2 + 21*a^2*b^7*c^11*d^3 - 35*a^3*b^6*c^10*d^4 + 35*a^4*b^5*c^9*d^5 - 21*a^5*b^4*c^8*d^6 + 7*a^6*b^3*c^7*d^7 - a^7*b^2*c^6*d^8))/(b^2*c + (b*x + a)*b*d - a*b*d)^(3/2) - 8/3*(3*sqrt(b*d)*b^10*c^3 - 13*sqrt(b*d)*a*b^9*c^2*d + 17*sqrt(b*d)*a^2*b^8*c*d^2 - 7*sqrt(b*d)*a^3*b^7*d^3 - 6*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^2 + 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*d - 15*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*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^6*c - 6*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*d)/((a^3*b^3*c^3*abs(b) - 3*a^4*b^2*c^2*d*abs(b) + 3*a^5*b*c*d^2*abs(b) - a^6*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) + 5*(sqrt(b*d)*b^3*c + sqrt(b*d)*a*b^2*d)*arctan(-1/2*(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)/(sqrt(-a*b*c*d)*b))/(sqrt(-a*b*c*d)*a^3*b*c^3*abs(b)) - 2*(sqrt(b*d)*b^5*c^2 - 2*sqrt(b*d)*a*b^4*c*d + sqrt(b*d)*a^2*b^3*d^2 - 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 - 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*d)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2 - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*b^2*c - 2*(sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^2*a*b*d + (sqrt(b*d)*sqrt(b*x + a) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d))^4)*a^3*c^3*abs(b))","B",0
813,-1,0,0,0.000000," ","integrate(1/x^3/(b*x+a)^(5/2)/(d*x+c)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
814,1,33,0,1.561589," ","integrate(x^2*(b*x+a)^(1/2)/(-b*x-a)^(1/2),x, algorithm=""giac"")","-\frac{i \, {\left({\left(b x + a\right)}^{3} - 3 \, {\left(b x + a\right)}^{2} a + 3 \, {\left(b x + a\right)} a^{2}\right)}}{3 \, b^{3}}"," ",0,"-1/3*I*((b*x + a)^3 - 3*(b*x + a)^2*a + 3*(b*x + a)*a^2)/b^3","C",0
815,1,21,0,1.549270," ","integrate(x*(b*x+a)^(1/2)/(-b*x-a)^(1/2),x, algorithm=""giac"")","-\frac{i \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a\right)}}{2 \, b^{2}}"," ",0,"-1/2*I*((b*x + a)^2 - 2*(b*x + a)*a)/b^2","C",0
816,1,10,0,1.478571," ","integrate((b*x+a)^(1/2)/(-b*x-a)^(1/2),x, algorithm=""giac"")","-\frac{i \, {\left(b x + a\right)}}{b}"," ",0,"-I*(b*x + a)/b","C",0
817,1,7,0,1.272313," ","integrate((b*x+a)^(1/2)/x/(-b*x-a)^(1/2),x, algorithm=""giac"")","-i \, \log\left({\left| b x \right|}\right)"," ",0,"-I*log(abs(b*x))","C",0
818,1,5,0,1.201708," ","integrate((b*x+a)^(1/2)/x^2/(-b*x-a)^(1/2),x, algorithm=""giac"")","\frac{i}{x}"," ",0,"I/x","C",0
819,1,5,0,1.214756," ","integrate((b*x+a)^(1/2)/x^3/(-b*x-a)^(1/2),x, algorithm=""giac"")","\frac{i}{2 \, x^{2}}"," ",0,"1/2*I/x^2","C",0
820,1,14,0,1.208950," ","integrate((b*x+a)^(1/2)/(x^m)/(-b*x-a)^(1/2),x, algorithm=""giac"")","\frac{i \, x^{-m + 1}}{m - 1}"," ",0,"I*x^(-m + 1)/(m - 1)","C",0
821,1,5,0,1.169394," ","integrate(x^2*(b*x+a)^n/((-b*x-a)^n),x, algorithm=""giac"")","\frac{1}{3} \, x^{3}"," ",0,"1/3*x^3","A",0
822,1,5,0,1.201079," ","integrate(x*(b*x+a)^n/((-b*x-a)^n),x, algorithm=""giac"")","\frac{1}{2} \, x^{2}"," ",0,"1/2*x^2","A",0
823,1,1,0,1.154240," ","integrate((b*x+a)^n/((-b*x-a)^n),x, algorithm=""giac"")","x"," ",0,"x","A",0
824,0,0,0,0.000000," ","integrate((b*x+a)^n/x/((-b*x-a)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(-b x - a\right)}^{n} x}\,{d x}"," ",0,"integrate((b*x + a)^n/((-b*x - a)^n*x), x)","F",0
825,0,0,0,0.000000," ","integrate((b*x+a)^n/x^2/((-b*x-a)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(-b x - a\right)}^{n} x^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n/((-b*x - a)^n*x^2), x)","F",0
826,0,0,0,0.000000," ","integrate((b*x+a)^n/x^3/((-b*x-a)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(-b x - a\right)}^{n} x^{3}}\,{d x}"," ",0,"integrate((b*x + a)^n/((-b*x - a)^n*x^3), x)","F",0
827,1,1586,0,1.994794," ","integrate((b*x+a)^n/(x^m)/((-b*x-a)^n),x, algorithm=""giac"")","-\frac{\pi b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \mathrm{sgn}\left(b x + a\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right)^{2} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right) - \pi b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \mathrm{sgn}\left(b x + a\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right)^{2} - b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \log\left({\left| b x + a \right|}\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right)^{2} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right)^{2} - \pi b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right)^{2} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right) + \pi a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \mathrm{sgn}\left(b x + a\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right)^{2} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right) + \pi b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right)^{2} - \pi a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \mathrm{sgn}\left(b x + a\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right)^{2} + b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right)^{2} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right)^{2} - a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \log\left({\left| b x + a \right|}\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right)^{2} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right)^{2} + \pi b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \mathrm{sgn}\left(b x + a\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right) + b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \log\left({\left| b x + a \right|}\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right)^{2} - \pi b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \mathrm{sgn}\left(b x + a\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right) - 4 \, b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \log\left({\left| b x + a \right|}\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right) - \pi a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right)^{2} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right) + b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \log\left({\left| b x + a \right|}\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right)^{2} + \pi a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right)^{2} - \pi b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right) + \pi a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \mathrm{sgn}\left(b x + a\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right) - b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right)^{2} + a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \log\left({\left| b x + a \right|}\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right)^{2} + \pi b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right) - \pi a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \mathrm{sgn}\left(b x + a\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right) + 4 \, b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right) - 4 \, a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \log\left({\left| b x + a \right|}\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right) - b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right)^{2} + a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \log\left({\left| b x + a \right|}\right) \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right)^{2} - b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \log\left({\left| b x + a \right|}\right) - \pi a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right) + \pi a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right) + b x {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} - a {\left| b x + a \right|}^{-n} {\left| b x + a \right|}^{n} \log\left({\left| b x + a \right|}\right)}{b \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right)^{2} \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right)^{2} + b \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{1}{4} \, \pi n\right)^{2} + b \tan\left(\frac{1}{4} \, \pi n \mathrm{sgn}\left(b x + a\right) - \frac{3}{4} \, \pi n\right)^{2} + b}"," ",0,"-(pi*b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*sgn(b*x + a)*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)^2*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n) - pi*b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*sgn(b*x + a)*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n)^2 - b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*log(abs(b*x + a))*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)^2*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n)^2 - pi*b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)^2*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n) + pi*a*abs(b*x + a)^(-n)*abs(b*x + a)^n*sgn(b*x + a)*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)^2*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n) + pi*b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n)^2 - pi*a*abs(b*x + a)^(-n)*abs(b*x + a)^n*sgn(b*x + a)*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n)^2 + b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)^2*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n)^2 - a*abs(b*x + a)^(-n)*abs(b*x + a)^n*log(abs(b*x + a))*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)^2*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n)^2 + pi*b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*sgn(b*x + a)*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n) + b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*log(abs(b*x + a))*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)^2 - pi*b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*sgn(b*x + a)*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n) - 4*b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*log(abs(b*x + a))*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n) - pi*a*abs(b*x + a)^(-n)*abs(b*x + a)^n*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)^2*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n) + b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*log(abs(b*x + a))*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n)^2 + pi*a*abs(b*x + a)^(-n)*abs(b*x + a)^n*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n)^2 - pi*b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n) + pi*a*abs(b*x + a)^(-n)*abs(b*x + a)^n*sgn(b*x + a)*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n) - b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)^2 + a*abs(b*x + a)^(-n)*abs(b*x + a)^n*log(abs(b*x + a))*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)^2 + pi*b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n) - pi*a*abs(b*x + a)^(-n)*abs(b*x + a)^n*sgn(b*x + a)*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n) + 4*b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n) - 4*a*abs(b*x + a)^(-n)*abs(b*x + a)^n*log(abs(b*x + a))*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n) - b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n)^2 + a*abs(b*x + a)^(-n)*abs(b*x + a)^n*log(abs(b*x + a))*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n)^2 - b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n*log(abs(b*x + a)) - pi*a*abs(b*x + a)^(-n)*abs(b*x + a)^n*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n) + pi*a*abs(b*x + a)^(-n)*abs(b*x + a)^n*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n) + b*x*abs(b*x + a)^(-n)*abs(b*x + a)^n - a*abs(b*x + a)^(-n)*abs(b*x + a)^n*log(abs(b*x + a)))/(b*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)^2*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n)^2 + b*tan(1/4*pi*n*sgn(b*x + a) - 1/4*pi*n)^2 + b*tan(1/4*pi*n*sgn(b*x + a) - 3/4*pi*n)^2 + b)","B",0
828,1,49,0,1.233295," ","integrate(x^3*(1+x)^(1/2)/(1-x)^(5/2),x, algorithm=""giac"")","-\frac{{\left({\left(3 \, {\left(x + 2\right)} {\left(x + 1\right)} - 86\right)} {\left(x + 1\right)} + 132\right)} \sqrt{x + 1} \sqrt{-x + 1}}{6 \, {\left(x - 1\right)}^{2}} + 11 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/6*((3*(x + 2)*(x + 1) - 86)*(x + 1) + 132)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^2 + 11*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
829,1,44,0,1.186579," ","integrate(x^2*(1+x)^(1/2)/(1-x)^(5/2),x, algorithm=""giac"")","-\frac{{\left({\left(3 \, x - 22\right)} {\left(x + 1\right)} + 36\right)} \sqrt{x + 1} \sqrt{-x + 1}}{3 \, {\left(x - 1\right)}^{2}} + 6 \, \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{x + 1}\right)"," ",0,"-1/3*((3*x - 22)*(x + 1) + 36)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^2 + 6*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
830,1,38,0,1.279437," ","integrate(x*(1+x)^(1/2)/(1-x)^(5/2),x, algorithm=""giac"")","\frac{{\left(7 \, x - 5\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,"1/3*(7*x - 5)*sqrt(x + 1)*sqrt(-x + 1)/(x - 1)^2 + 2*arcsin(1/2*sqrt(2)*sqrt(x + 1))","A",0
831,1,19,0,1.243478," ","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
832,1,12,0,1.272346," ","integrate((1+x)^(1/2)/(-1+x)^(5/2),x, algorithm=""giac"")","-\frac{{\left(x + 1\right)}^{\frac{3}{2}}}{3 \, {\left(x - 1\right)}^{\frac{3}{2}}}"," ",0,"-1/3*(x + 1)^(3/2)/(x - 1)^(3/2)","A",0
833,-2,0,0,0.000000," ","integrate((1+x)^(1/2)/(1-x)^(5/2)/x,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,-4,0,%%%{4,[2]%%%}] at parameters values [-93.616423693]Warning, choosing root of [1,0,-4,0,%%%{4,[2]%%%}] at parameters values [-17.8804557086]-ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))+2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))+ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))+2*(-5/6*sqrt(x+1)*sqrt(x+1)+2)*sqrt(x+1)*sqrt(-x+1)/(-x+1)^2","F(-2)",0
834,-2,0,0,0.000000," ","integrate((1+x)^(1/2)/(1-x)^(5/2)/x^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,-4,0,%%%{4,[2]%%%}] at parameters values [-93.616423693]Warning, choosing root of [1,0,-4,0,%%%{4,[2]%%%}] at parameters values [-17.8804557086]-4*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))/(-(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^2+4)-3*ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))+2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))+3*ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))+2*(-11/6*sqrt(x+1)*sqrt(x+1)+4)*sqrt(x+1)*sqrt(-x+1)/(-x+1)^2","F(-2)",0
835,-2,0,0,0.000000," ","integrate((1+x)^(1/2)/(1-x)^(5/2)/x^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,-4,0,%%%{4,[2]%%%}] at parameters values [-93.616423693]Warning, choosing root of [1,0,-4,0,%%%{4,[2]%%%}] at parameters values [-17.8804557086]-(-10*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^3+56*(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))/((2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1))^2-4)^2-11/2*ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))+2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))+11/2*ln(abs(2*sqrt(x+1)/(-2*sqrt(-x+1)+2*sqrt(2))-2-1/2*(-2*sqrt(-x+1)+2*sqrt(2))/sqrt(x+1)))+2*(-17/6*sqrt(x+1)*sqrt(x+1)+6)*sqrt(x+1)*sqrt(-x+1)/(-x+1)^2","F(-2)",0
836,1,30,0,1.181510," ","integrate(x^2/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{x + 1} \sqrt{x - 1} x - \log\left(\sqrt{x + 1} - \sqrt{x - 1}\right)"," ",0,"1/2*sqrt(x + 1)*sqrt(x - 1)*x - log(sqrt(x + 1) - sqrt(x - 1))","A",0
837,1,11,0,1.197574," ","integrate(x/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\sqrt{x + 1} \sqrt{x - 1}"," ",0,"sqrt(x + 1)*sqrt(x - 1)","A",0
838,1,16,0,1.184508," ","integrate(1/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","-2 \, \log\left(\sqrt{x + 1} - \sqrt{x - 1}\right)"," ",0,"-2*log(sqrt(x + 1) - sqrt(x - 1))","B",0
839,1,20,0,1.245833," ","integrate(1/x/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","-2 \, \arctan\left(\frac{1}{2} \, {\left(\sqrt{x + 1} - \sqrt{x - 1}\right)}^{2}\right)"," ",0,"-2*arctan(1/2*(sqrt(x + 1) - sqrt(x - 1))^2)","A",0
840,1,21,0,1.228112," ","integrate(1/x^2/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\frac{8}{{\left(\sqrt{x + 1} - \sqrt{x - 1}\right)}^{4} + 4}"," ",0,"8/((sqrt(x + 1) - sqrt(x - 1))^4 + 4)","A",0
841,1,70,0,1.293826," ","integrate(x^2*(-1+x)^(1/2)*(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}{4} \, \log\left(\sqrt{x + 1} - \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) + 1/4*log(sqrt(x + 1) - sqrt(x - 1))","B",0
842,1,39,0,1.315295," ","integrate(x*(-1+x)^(1/2)*(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} + \frac{1}{2} \, \sqrt{x + 1} \sqrt{x - 1} {\left(x - 2\right)}"," ",0,"1/6*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(x - 1) + 1/2*sqrt(x + 1)*sqrt(x - 1)*(x - 2)","B",0
843,1,41,0,1.268796," ","integrate((-1+x)^(1/2)*(1+x)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{x + 1} \sqrt{x - 1} {\left(x - 2\right)} + \sqrt{x + 1} \sqrt{x - 1} + \log\left(\sqrt{x + 1} - \sqrt{x - 1}\right)"," ",0,"1/2*sqrt(x + 1)*sqrt(x - 1)*(x - 2) + sqrt(x + 1)*sqrt(x - 1) + log(sqrt(x + 1) - sqrt(x - 1))","B",0
844,1,32,0,1.258183," ","integrate((-1+x)^(1/2)*(1+x)^(1/2)/x,x, algorithm=""giac"")","\sqrt{x + 1} \sqrt{x - 1} + 2 \, \arctan\left(\frac{1}{2} \, {\left(\sqrt{x + 1} - \sqrt{x - 1}\right)}^{2}\right)"," ",0,"sqrt(x + 1)*sqrt(x - 1) + 2*arctan(1/2*(sqrt(x + 1) - sqrt(x - 1))^2)","A",0
845,1,40,0,1.318971," ","integrate((-1+x)^(1/2)*(1+x)^(1/2)/x^2,x, algorithm=""giac"")","-\frac{8}{{\left(\sqrt{x + 1} - \sqrt{x - 1}\right)}^{4} + 4} - \frac{1}{2} \, \log\left({\left(\sqrt{x + 1} - \sqrt{x - 1}\right)}^{4}\right)"," ",0,"-8/((sqrt(x + 1) - sqrt(x - 1))^4 + 4) - 1/2*log((sqrt(x + 1) - sqrt(x - 1))^4)","B",0
846,1,20,0,1.172632," ","integrate(1/(1+2*x)^(1/2)/(3+2*x)^(1/2),x, algorithm=""giac"")","-\log\left(\sqrt{2 \, x + 3} - \sqrt{2 \, x + 1}\right)"," ",0,"-log(sqrt(2*x + 3) - sqrt(2*x + 1))","A",0
847,1,42,0,1.275855," ","integrate(1/x/(-2+3*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{15} \, \sqrt{10} \sqrt{5} \sqrt{3} \arctan\left(\frac{1}{60} \, \sqrt{10} {\left({\left(\sqrt{3} \sqrt{5 \, x + 3} - \sqrt{15 \, x - 10}\right)}^{2} + 1\right)}\right)"," ",0,"-1/15*sqrt(10)*sqrt(5)*sqrt(3)*arctan(1/60*sqrt(10)*((sqrt(3)*sqrt(5*x + 3) - sqrt(15*x - 10))^2 + 1))","A",0
848,1,54,0,1.179855," ","integrate(1/(-1+x)^(3/2)/x/(1+x)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{x + 1}}{2 \, \sqrt{x - 1}} + \frac{2}{{\left(\sqrt{x + 1} - \sqrt{x - 1}\right)}^{2} + 2} + 2 \, \arctan\left(\frac{1}{2} \, {\left(\sqrt{x + 1} - \sqrt{x - 1}\right)}^{2}\right)"," ",0,"-1/2*sqrt(x + 1)/sqrt(x - 1) + 2/((sqrt(x + 1) - sqrt(x - 1))^2 + 2) + 2*arctan(1/2*(sqrt(x + 1) - sqrt(x - 1))^2)","A",0
849,1,43,0,1.398283," ","integrate(x*(1-x)^(1/2)*(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} + \frac{1}{2} \, \sqrt{x + 1} {\left(x - 2\right)} \sqrt{-x + 1}"," ",0,"1/6*((2*x - 5)*(x + 1) + 9)*sqrt(x + 1)*sqrt(-x + 1) + 1/2*sqrt(x + 1)*(x - 2)*sqrt(-x + 1)","B",0
850,1,173,0,1.404371," ","integrate(x^3*(2+3*x)^(3/2)*(1+4*x)^(1/2),x, algorithm=""giac"")","\frac{1}{14155776} \, {\left(2 \, {\left(12 \, {\left(6 \, {\left(8 \, {\left(24 \, x - 29\right)} {\left(4 \, x + 1\right)} + 645\right)} {\left(4 \, x + 1\right)} - 3685\right)} {\left(4 \, x + 1\right)} - 28835\right)} {\left(4 \, x + 1\right)} + 448303\right)} \sqrt{4 \, x + 1} \sqrt{3 \, x + 2} + \frac{11}{53084160} \, {\left(2 \, {\left(12 \, {\left(18 \, {\left(96 \, x - 91\right)} {\left(4 \, x + 1\right)} + 3545\right)} {\left(4 \, x + 1\right)} - 10865\right)} {\left(4 \, x + 1\right)} - 239435\right)} \sqrt{4 \, x + 1} \sqrt{3 \, x + 2} + \frac{1}{221184} \, {\left(2 \, {\left(12 \, {\left(72 \, x - 49\right)} {\left(4 \, x + 1\right)} + 811\right)} {\left(4 \, x + 1\right)} + 2857\right)} \sqrt{4 \, x + 1} \sqrt{3 \, x + 2} - \frac{1067875}{254803968} \, \sqrt{3} \log\left(-\sqrt{3} \sqrt{4 \, x + 1} + 2 \, \sqrt{3 \, x + 2}\right)"," ",0,"1/14155776*(2*(12*(6*(8*(24*x - 29)*(4*x + 1) + 645)*(4*x + 1) - 3685)*(4*x + 1) - 28835)*(4*x + 1) + 448303)*sqrt(4*x + 1)*sqrt(3*x + 2) + 11/53084160*(2*(12*(18*(96*x - 91)*(4*x + 1) + 3545)*(4*x + 1) - 10865)*(4*x + 1) - 239435)*sqrt(4*x + 1)*sqrt(3*x + 2) + 1/221184*(2*(12*(72*x - 49)*(4*x + 1) + 811)*(4*x + 1) + 2857)*sqrt(4*x + 1)*sqrt(3*x + 2) - 1067875/254803968*sqrt(3)*log(-sqrt(3)*sqrt(4*x + 1) + 2*sqrt(3*x + 2))","A",0
851,1,25,0,1.167704," ","integrate(1/(b*x+a-1)^(1/2)/(b*x+a+1)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}{b}"," ",0,"-2*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))/b","A",0
852,0,0,0,0.000000," ","integrate(1/x^(1/2)/(-b*x+a)^(1/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} \sqrt{-b x + a} \sqrt{x}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*sqrt(-b*x + a)*sqrt(x)), x)","F",0
853,0,0,0,0.000000," ","integrate(1/(-x)^(1/2)/(-b*x+a)^(1/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} \sqrt{-b x + a} \sqrt{-x}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*sqrt(-b*x + a)*sqrt(-x)), x)","F",0
854,0,0,0,0.000000," ","integrate(1/(e*x)^(1/2)/(-b*x+a)^(1/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} \sqrt{-b x + a} \sqrt{e x}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*sqrt(-b*x + a)*sqrt(e*x)), x)","F",0
855,0,0,0,0.000000," ","integrate(1/x^(1/2)/(-b*x+2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + 2} \sqrt{-b x + 2} \sqrt{x}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + 2)*sqrt(-b*x + 2)*sqrt(x)), x)","F",0
856,0,0,0,0.000000," ","integrate(1/(-x)^(1/2)/(-b*x+2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + 2} \sqrt{-b x + 2} \sqrt{-x}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + 2)*sqrt(-b*x + 2)*sqrt(-x)), x)","F",0
857,0,0,0,0.000000," ","integrate(1/(e*x)^(1/2)/(-b*x+2)^(1/2)/(b*x+2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + 2} \sqrt{-b x + 2} \sqrt{e x}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + 2)*sqrt(-b*x + 2)*sqrt(e*x)), x)","F",0
858,0,0,0,0.000000," ","integrate(1/(2-3*x)^(1/2)/x^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{3 \, x + 2} \sqrt{x} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate(1/(sqrt(3*x + 2)*sqrt(x)*sqrt(-3*x + 2)), x)","F",0
859,0,0,0,0.000000," ","integrate(1/(2-3*x)^(1/2)/(-x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-x} \sqrt{3 \, x + 2} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate(1/(sqrt(-x)*sqrt(3*x + 2)*sqrt(-3*x + 2)), x)","F",0
860,-2,0,0,0.000000," ","integrate(1/(2-3*x)^(1/2)/(e*x)^(1/2)/(2+3*x)^(1/2),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, choosing root of [1,0,%%%{-8,[0,2]%%%},0,%%%{36,[4,2]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,%%%{-8,[0,2]%%%},0,%%%{36,[4,2]%%%}] at parameters values [-82,7]"sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value"","F(-2)",0
861,0,0,0,0.000000," ","integrate(1/(1-x)^(1/2)/x^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x + 1} \sqrt{x} \sqrt{-x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(x + 1)*sqrt(x)*sqrt(-x + 1)), x)","F",0
862,0,0,0,0.000000," ","integrate(1/(1+x)^(1/2)/(-x^2+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-x^{2} + x} \sqrt{x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^2 + x)*sqrt(x + 1)), x)","F",0
863,0,0,0,0.000000," ","integrate(1/(b*x)^(1/2)/(-c*x+1)^(1/2)/(c*x+1)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x} \sqrt{c x + 1} \sqrt{-c x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x)*sqrt(c*x + 1)*sqrt(-c*x + 1)), x)","F",0
864,0,0,0,0.000000," ","integrate(1/(b*x)^(1/2)/(-c*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x} \sqrt{-c x + 1} \sqrt{d x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x)*sqrt(-c*x + 1)*sqrt(d*x + 1)), x)","F",0
865,0,0,0,0.000000," ","integrate((1+x)^(1/2)/(1-x)^(1/2)/x^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{x + 1}}{\sqrt{x} \sqrt{-x + 1}}\,{d x}"," ",0,"integrate(sqrt(x + 1)/(sqrt(x)*sqrt(-x + 1)), x)","F",0
866,0,0,0,0.000000," ","integrate((1+x)^(1/2)/(-x^2+x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{x + 1}}{\sqrt{-x^{2} + x}}\,{d x}"," ",0,"integrate(sqrt(x + 1)/sqrt(-x^2 + x), x)","F",0
867,0,0,0,0.000000," ","integrate((c*x+1)^(1/2)/(b*x)^(1/2)/(-c*x+1)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{c x + 1}}{\sqrt{b x} \sqrt{-c x + 1}}\,{d x}"," ",0,"integrate(sqrt(c*x + 1)/(sqrt(b*x)*sqrt(-c*x + 1)), x)","F",0
868,0,0,0,0.000000," ","integrate((c*x+1)^(1/2)/(b*x)^(1/2)/(-d*x+1)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{c x + 1}}{\sqrt{b x} \sqrt{-d x + 1}}\,{d x}"," ",0,"integrate(sqrt(c*x + 1)/(sqrt(b*x)*sqrt(-d*x + 1)), x)","F",0
869,0,0,0,0.000000," ","integrate((1-x)^(1/2)/x^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-x + 1}}{\sqrt{x + 1} \sqrt{x}}\,{d x}"," ",0,"integrate(sqrt(-x + 1)/(sqrt(x + 1)*sqrt(x)), x)","F",0
870,0,0,0,0.000000," ","integrate((-1+1/x)^(1/2)*(1/x)^(1/2)*x^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{x} - 1}}{\sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(1/x - 1)/sqrt(x + 1), x)","F",0
871,0,0,0,0.000000," ","integrate((-c*x+1)^(1/2)/(b*x)^(1/2)/(c*x+1)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-c x + 1}}{\sqrt{b x} \sqrt{c x + 1}}\,{d x}"," ",0,"integrate(sqrt(-c*x + 1)/(sqrt(b*x)*sqrt(c*x + 1)), x)","F",0
872,0,0,0,0.000000," ","integrate((-c*x+1)^(1/2)/(b*x)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-c x + 1}}{\sqrt{b x} \sqrt{d x + 1}}\,{d x}"," ",0,"integrate(sqrt(-c*x + 1)/(sqrt(b*x)*sqrt(d*x + 1)), x)","F",0
873,-1,0,0,0.000000," ","integrate(1/(2-3*x)^(1/2)/x^(1/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
874,-1,0,0,0.000000," ","integrate((e*x+d)^(1/2)/(2-3*x)^(1/2)/x^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
875,0,0,0,0.000000," ","integrate(x^4/(1-x)^(1/3)/(2-x)^(1/3),x, algorithm=""giac"")","\int \frac{x^{4}}{{\left(-x + 2\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^4/((-x + 2)^(1/3)*(-x + 1)^(1/3)), x)","F",0
876,0,0,0,0.000000," ","integrate(x^3/(1-x)^(1/3)/(2-x)^(1/3),x, algorithm=""giac"")","\int \frac{x^{3}}{{\left(-x + 2\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^3/((-x + 2)^(1/3)*(-x + 1)^(1/3)), x)","F",0
877,0,0,0,0.000000," ","integrate(x^2/(1-x)^(1/3)/(2-x)^(1/3),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(-x + 2\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^2/((-x + 2)^(1/3)*(-x + 1)^(1/3)), x)","F",0
878,0,0,0,0.000000," ","integrate(x/(1-x)^(1/3)/(2-x)^(1/3),x, algorithm=""giac"")","\int \frac{x}{{\left(-x + 2\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x/((-x + 2)^(1/3)*(-x + 1)^(1/3)), x)","F",0
879,0,0,0,0.000000," ","integrate(1/(1-x)^(1/3)/(2-x)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(-x + 2\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((-x + 2)^(1/3)*(-x + 1)^(1/3)), x)","F",0
880,0,0,0,0.000000," ","integrate(1/(1-x)^(1/3)/(2-x)^(1/3)/x,x, algorithm=""giac"")","\int \frac{1}{x {\left(-x + 2\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/(x*(-x + 2)^(1/3)*(-x + 1)^(1/3)), x)","F",0
881,0,0,0,0.000000," ","integrate(1/(1-x)^(1/3)/(2-x)^(1/3)/x^2,x, algorithm=""giac"")","\int \frac{1}{x^{2} {\left(-x + 2\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/(x^2*(-x + 2)^(1/3)*(-x + 1)^(1/3)), x)","F",0
882,0,0,0,0.000000," ","integrate(1/(1-x)^(1/3)/(2-x)^(1/3)/x^3,x, algorithm=""giac"")","\int \frac{1}{x^{3} {\left(-x + 2\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/(x^3*(-x + 2)^(1/3)*(-x + 1)^(1/3)), x)","F",0
883,0,0,0,0.000000," ","integrate(x^3*(b*x+a)^(1/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{4}} x^{3}}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)*x^3/(d*x + c)^(1/4), x)","F",0
884,0,0,0,0.000000," ","integrate(x^2*(b*x+a)^(1/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{4}} x^{2}}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)*x^2/(d*x + c)^(1/4), x)","F",0
885,0,0,0,0.000000," ","integrate(x*(b*x+a)^(1/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{4}} x}{{\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)*x/(d*x + c)^(1/4), x)","F",0
886,0,0,0,0.000000," ","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
887,0,0,0,0.000000," ","integrate((b*x+a)^(1/4)/x/(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}} x}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)/((d*x + c)^(1/4)*x), x)","F",0
888,0,0,0,0.000000," ","integrate((b*x+a)^(1/4)/x^2/(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}} x^{2}}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)/((d*x + c)^(1/4)*x^2), x)","F",0
889,0,0,0,0.000000," ","integrate((b*x+a)^(1/4)/x^3/(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}} x^{3}}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)/((d*x + c)^(1/4)*x^3), x)","F",0
890,0,0,0,0.000000," ","integrate((b*x+a)^(1/4)/x^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}} x^{4}}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)/((d*x + c)^(1/4)*x^4), x)","F",0
891,0,0,0,0.000000," ","integrate((b*x+a)^(1/4)/x^5/(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}} x^{5}}\,{d x}"," ",0,"integrate((b*x + a)^(1/4)/((d*x + c)^(1/4)*x^5), x)","F",0
892,0,0,0,0.000000," ","integrate(x^2*(1+x)^(1/4)/(1-x)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(x + 1\right)}^{\frac{1}{4}} x^{2}}{{\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x + 1)^(1/4)*x^2/(-x + 1)^(1/4), x)","F",0
893,0,0,0,0.000000," ","integrate(x*(1+x)^(1/4)/(1-x)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(x + 1\right)}^{\frac{1}{4}} x}{{\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x + 1)^(1/4)*x/(-x + 1)^(1/4), x)","F",0
894,0,0,0,0.000000," ","integrate((1+x)^(1/4)/(1-x)^(1/4),x, algorithm=""giac"")","\int \frac{{\left(x + 1\right)}^{\frac{1}{4}}}{{\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x + 1)^(1/4)/(-x + 1)^(1/4), x)","F",0
895,0,0,0,0.000000," ","integrate((1+x)^(1/4)/(1-x)^(1/4)/x,x, algorithm=""giac"")","\int \frac{{\left(x + 1\right)}^{\frac{1}{4}}}{x {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x + 1)^(1/4)/(x*(-x + 1)^(1/4)), x)","F",0
896,0,0,0,0.000000," ","integrate((1+x)^(1/4)/(1-x)^(1/4)/x^2,x, algorithm=""giac"")","\int \frac{{\left(x + 1\right)}^{\frac{1}{4}}}{x^{2} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x + 1)^(1/4)/(x^2*(-x + 1)^(1/4)), x)","F",0
897,0,0,0,0.000000," ","integrate((1+x)^(1/4)/(1-x)^(1/4)/x^3,x, algorithm=""giac"")","\int \frac{{\left(x + 1\right)}^{\frac{1}{4}}}{x^{3} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x + 1)^(1/4)/(x^3*(-x + 1)^(1/4)), x)","F",0
898,0,0,0,0.000000," ","integrate((1+x)^(1/4)/(1-x)^(1/4)/x^4,x, algorithm=""giac"")","\int \frac{{\left(x + 1\right)}^{\frac{1}{4}}}{x^{4} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x + 1)^(1/4)/(x^4*(-x + 1)^(1/4)), x)","F",0
899,0,0,0,0.000000," ","integrate((1+x)^(1/4)/(1-x)^(1/4)/x^5,x, algorithm=""giac"")","\int \frac{{\left(x + 1\right)}^{\frac{1}{4}}}{x^{5} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x + 1)^(1/4)/(x^5*(-x + 1)^(1/4)), x)","F",0
900,0,0,0,0.000000," ","integrate(x^3/(b*x+a)^(3/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{x^{3}}{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^3/((b*x + a)^(3/4)*(d*x + c)^(1/4)), x)","F",0
901,0,0,0,0.000000," ","integrate(x^2/(b*x+a)^(3/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^2/((b*x + a)^(3/4)*(d*x + c)^(1/4)), x)","F",0
902,0,0,0,0.000000," ","integrate(x/(b*x+a)^(3/4)/(d*x+c)^(1/4),x, algorithm=""giac"")","\int \frac{x}{{\left(b x + a\right)}^{\frac{3}{4}} {\left(d x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x/((b*x + a)^(3/4)*(d*x + c)^(1/4)), x)","F",0
903,0,0,0,0.000000," ","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
904,0,0,0,0.000000," ","integrate(1/x/(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}} x}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/4)*(d*x + c)^(1/4)*x), x)","F",0
905,0,0,0,0.000000," ","integrate(1/x^2/(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}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/4)*(d*x + c)^(1/4)*x^2), x)","F",0
906,0,0,0,0.000000," ","integrate(1/x^3/(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}} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/4)*(d*x + c)^(1/4)*x^3), x)","F",0
907,0,0,0,0.000000," ","integrate(1/x^4/(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}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/4)*(d*x + c)^(1/4)*x^4), x)","F",0
908,0,0,0,0.000000," ","integrate((e*x)^(3/2)/(1-x)^(1/4)/(1+x)^(1/4),x, algorithm=""giac"")","\int \frac{\left(e x\right)^{\frac{3}{2}}}{{\left(x + 1\right)}^{\frac{1}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((e*x)^(3/2)/((x + 1)^(1/4)*(-x + 1)^(1/4)), x)","F",0
909,0,0,0,0.000000," ","integrate(1/(1-x)^(1/4)/(e*x)^(1/2)/(1+x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{\sqrt{e x} {\left(x + 1\right)}^{\frac{1}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/(sqrt(e*x)*(x + 1)^(1/4)*(-x + 1)^(1/4)), x)","F",0
910,0,0,0,0.000000," ","integrate(1/(1-x)^(1/4)/(e*x)^(5/2)/(1+x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{\left(e x\right)^{\frac{5}{2}} {\left(x + 1\right)}^{\frac{1}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((e*x)^(5/2)*(x + 1)^(1/4)*(-x + 1)^(1/4)), x)","F",0
911,0,0,0,0.000000," ","integrate(1/(1-x)^(1/4)/(e*x)^(9/2)/(1+x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{\left(e x\right)^{\frac{9}{2}} {\left(x + 1\right)}^{\frac{1}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((e*x)^(9/2)*(x + 1)^(1/4)*(-x + 1)^(1/4)), x)","F",0
912,0,0,0,0.000000," ","integrate(1/(1-x)^(1/4)/(e*x)^(13/2)/(1+x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{\left(e x\right)^{\frac{13}{2}} {\left(x + 1\right)}^{\frac{1}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((e*x)^(13/2)*(x + 1)^(1/4)*(-x + 1)^(1/4)), x)","F",0
913,0,0,0,0.000000," ","integrate((e*x)^(5/2)/(1-x)^(1/4)/(1+x)^(1/4),x, algorithm=""giac"")","\int \frac{\left(e x\right)^{\frac{5}{2}}}{{\left(x + 1\right)}^{\frac{1}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((e*x)^(5/2)/((x + 1)^(1/4)*(-x + 1)^(1/4)), x)","F",0
914,0,0,0,0.000000," ","integrate((e*x)^(1/2)/(1-x)^(1/4)/(1+x)^(1/4),x, algorithm=""giac"")","\int \frac{\sqrt{e x}}{{\left(x + 1\right)}^{\frac{1}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(sqrt(e*x)/((x + 1)^(1/4)*(-x + 1)^(1/4)), x)","F",0
915,0,0,0,0.000000," ","integrate(1/(1-x)^(1/4)/(e*x)^(3/2)/(1+x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{\left(e x\right)^{\frac{3}{2}} {\left(x + 1\right)}^{\frac{1}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((e*x)^(3/2)*(x + 1)^(1/4)*(-x + 1)^(1/4)), x)","F",0
916,0,0,0,0.000000," ","integrate(1/(1-x)^(1/4)/(e*x)^(7/2)/(1+x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{\left(e x\right)^{\frac{7}{2}} {\left(x + 1\right)}^{\frac{1}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((e*x)^(7/2)*(x + 1)^(1/4)*(-x + 1)^(1/4)), x)","F",0
917,0,0,0,0.000000," ","integrate(1/(1-x)^(1/4)/(e*x)^(11/2)/(1+x)^(1/4),x, algorithm=""giac"")","\int \frac{1}{\left(e x\right)^{\frac{11}{2}} {\left(x + 1\right)}^{\frac{1}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((e*x)^(11/2)*(x + 1)^(1/4)*(-x + 1)^(1/4)), x)","F",0
918,1,431,0,0.948354," ","integrate(x^2*(b*x+a)^n*(d*x+c),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{4} d n^{3} x^{4} + {\left(b x + a\right)}^{n} b^{4} c n^{3} x^{3} + {\left(b x + a\right)}^{n} a b^{3} d n^{3} x^{3} + 6 \, {\left(b x + a\right)}^{n} b^{4} d n^{2} x^{4} + {\left(b x + a\right)}^{n} a b^{3} c n^{3} x^{2} + 7 \, {\left(b x + a\right)}^{n} b^{4} c n^{2} x^{3} + 3 \, {\left(b x + a\right)}^{n} a b^{3} d n^{2} x^{3} + 11 \, {\left(b x + a\right)}^{n} b^{4} d n x^{4} + 5 \, {\left(b x + a\right)}^{n} a b^{3} c n^{2} x^{2} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} d n^{2} x^{2} + 14 \, {\left(b x + a\right)}^{n} b^{4} c n x^{3} + 2 \, {\left(b x + a\right)}^{n} a b^{3} d n x^{3} + 6 \, {\left(b x + a\right)}^{n} b^{4} d x^{4} - 2 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c n^{2} x + 4 \, {\left(b x + a\right)}^{n} a b^{3} c n x^{2} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} d n x^{2} + 8 \, {\left(b x + a\right)}^{n} b^{4} c x^{3} - 8 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c n x + 6 \, {\left(b x + a\right)}^{n} a^{3} b d n x + 2 \, {\left(b x + a\right)}^{n} a^{3} b c n + 8 \, {\left(b x + a\right)}^{n} a^{3} b c - 6 \, {\left(b x + a\right)}^{n} a^{4} d}{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*d*n^3*x^4 + (b*x + a)^n*b^4*c*n^3*x^3 + (b*x + a)^n*a*b^3*d*n^3*x^3 + 6*(b*x + a)^n*b^4*d*n^2*x^4 + (b*x + a)^n*a*b^3*c*n^3*x^2 + 7*(b*x + a)^n*b^4*c*n^2*x^3 + 3*(b*x + a)^n*a*b^3*d*n^2*x^3 + 11*(b*x + a)^n*b^4*d*n*x^4 + 5*(b*x + a)^n*a*b^3*c*n^2*x^2 - 3*(b*x + a)^n*a^2*b^2*d*n^2*x^2 + 14*(b*x + a)^n*b^4*c*n*x^3 + 2*(b*x + a)^n*a*b^3*d*n*x^3 + 6*(b*x + a)^n*b^4*d*x^4 - 2*(b*x + a)^n*a^2*b^2*c*n^2*x + 4*(b*x + a)^n*a*b^3*c*n*x^2 - 3*(b*x + a)^n*a^2*b^2*d*n*x^2 + 8*(b*x + a)^n*b^4*c*x^3 - 8*(b*x + a)^n*a^2*b^2*c*n*x + 6*(b*x + a)^n*a^3*b*d*n*x + 2*(b*x + a)^n*a^3*b*c*n + 8*(b*x + a)^n*a^3*b*c - 6*(b*x + a)^n*a^4*d)/(b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4)","B",0
919,1,260,0,0.992422," ","integrate(x*(b*x+a)^n*(d*x+c),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{3} d n^{2} x^{3} + {\left(b x + a\right)}^{n} b^{3} c n^{2} x^{2} + {\left(b x + a\right)}^{n} a b^{2} d n^{2} x^{2} + 3 \, {\left(b x + a\right)}^{n} b^{3} d n x^{3} + {\left(b x + a\right)}^{n} a b^{2} c n^{2} x + 4 \, {\left(b x + a\right)}^{n} b^{3} c n x^{2} + {\left(b x + a\right)}^{n} a b^{2} d n x^{2} + 2 \, {\left(b x + a\right)}^{n} b^{3} d x^{3} + 3 \, {\left(b x + a\right)}^{n} a b^{2} c n x - 2 \, {\left(b x + a\right)}^{n} a^{2} b d n x + 3 \, {\left(b x + a\right)}^{n} b^{3} c x^{2} - {\left(b x + a\right)}^{n} a^{2} b c n - 3 \, {\left(b x + a\right)}^{n} a^{2} b c + 2 \, {\left(b x + a\right)}^{n} a^{3} d}{b^{3} n^{3} + 6 \, b^{3} n^{2} + 11 \, b^{3} n + 6 \, b^{3}}"," ",0,"((b*x + a)^n*b^3*d*n^2*x^3 + (b*x + a)^n*b^3*c*n^2*x^2 + (b*x + a)^n*a*b^2*d*n^2*x^2 + 3*(b*x + a)^n*b^3*d*n*x^3 + (b*x + a)^n*a*b^2*c*n^2*x + 4*(b*x + a)^n*b^3*c*n*x^2 + (b*x + a)^n*a*b^2*d*n*x^2 + 2*(b*x + a)^n*b^3*d*x^3 + 3*(b*x + a)^n*a*b^2*c*n*x - 2*(b*x + a)^n*a^2*b*d*n*x + 3*(b*x + a)^n*b^3*c*x^2 - (b*x + a)^n*a^2*b*c*n - 3*(b*x + a)^n*a^2*b*c + 2*(b*x + a)^n*a^3*d)/(b^3*n^3 + 6*b^3*n^2 + 11*b^3*n + 6*b^3)","B",0
920,1,132,0,1.252786," ","integrate((b*x+a)^n*(d*x+c),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{2} d n x^{2} + {\left(b x + a\right)}^{n} b^{2} c n x + {\left(b x + a\right)}^{n} a b d n x + {\left(b x + a\right)}^{n} b^{2} d x^{2} + {\left(b x + a\right)}^{n} a b c n + 2 \, {\left(b x + a\right)}^{n} b^{2} c x + 2 \, {\left(b x + a\right)}^{n} a b c - {\left(b x + a\right)}^{n} a^{2} d}{b^{2} n^{2} + 3 \, b^{2} n + 2 \, b^{2}}"," ",0,"((b*x + a)^n*b^2*d*n*x^2 + (b*x + a)^n*b^2*c*n*x + (b*x + a)^n*a*b*d*n*x + (b*x + a)^n*b^2*d*x^2 + (b*x + a)^n*a*b*c*n + 2*(b*x + a)^n*b^2*c*x + 2*(b*x + a)^n*a*b*c - (b*x + a)^n*a^2*d)/(b^2*n^2 + 3*b^2*n + 2*b^2)","B",0
921,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)/x,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)} {\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((d*x + c)*(b*x + a)^n/x, x)","F",0
922,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)/x^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)} {\left(b x + a\right)}^{n}}{x^{2}}\,{d x}"," ",0,"integrate((d*x + c)*(b*x + a)^n/x^2, x)","F",0
923,1,1001,0,1.233980," ","integrate(x^2*(b*x+a)^n*(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{5} d^{2} n^{4} x^{5} + 2 \, {\left(b x + a\right)}^{n} b^{5} c d n^{4} x^{4} + {\left(b x + a\right)}^{n} a b^{4} d^{2} n^{4} x^{4} + 10 \, {\left(b x + a\right)}^{n} b^{5} d^{2} n^{3} x^{5} + {\left(b x + a\right)}^{n} b^{5} c^{2} n^{4} x^{3} + 2 \, {\left(b x + a\right)}^{n} a b^{4} c d n^{4} x^{3} + 22 \, {\left(b x + a\right)}^{n} b^{5} c d n^{3} x^{4} + 6 \, {\left(b x + a\right)}^{n} a b^{4} d^{2} n^{3} x^{4} + 35 \, {\left(b x + a\right)}^{n} b^{5} d^{2} n^{2} x^{5} + {\left(b x + a\right)}^{n} a b^{4} c^{2} n^{4} x^{2} + 12 \, {\left(b x + a\right)}^{n} b^{5} c^{2} n^{3} x^{3} + 16 \, {\left(b x + a\right)}^{n} a b^{4} c d n^{3} x^{3} - 4 \, {\left(b x + a\right)}^{n} a^{2} b^{3} d^{2} n^{3} x^{3} + 82 \, {\left(b x + a\right)}^{n} b^{5} c d n^{2} x^{4} + 11 \, {\left(b x + a\right)}^{n} a b^{4} d^{2} n^{2} x^{4} + 50 \, {\left(b x + a\right)}^{n} b^{5} d^{2} n x^{5} + 10 \, {\left(b x + a\right)}^{n} a b^{4} c^{2} n^{3} x^{2} - 6 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c d n^{3} x^{2} + 49 \, {\left(b x + a\right)}^{n} b^{5} c^{2} n^{2} x^{3} + 34 \, {\left(b x + a\right)}^{n} a b^{4} c d n^{2} x^{3} - 12 \, {\left(b x + a\right)}^{n} a^{2} b^{3} d^{2} n^{2} x^{3} + 122 \, {\left(b x + a\right)}^{n} b^{5} c d n x^{4} + 6 \, {\left(b x + a\right)}^{n} a b^{4} d^{2} n x^{4} + 24 \, {\left(b x + a\right)}^{n} b^{5} d^{2} x^{5} - 2 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c^{2} n^{3} x + 29 \, {\left(b x + a\right)}^{n} a b^{4} c^{2} n^{2} x^{2} - 36 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c d n^{2} x^{2} + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} d^{2} n^{2} x^{2} + 78 \, {\left(b x + a\right)}^{n} b^{5} c^{2} n x^{3} + 20 \, {\left(b x + a\right)}^{n} a b^{4} c d n x^{3} - 8 \, {\left(b x + a\right)}^{n} a^{2} b^{3} d^{2} n x^{3} + 60 \, {\left(b x + a\right)}^{n} b^{5} c d x^{4} - 18 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c^{2} n^{2} x + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c d n^{2} x + 20 \, {\left(b x + a\right)}^{n} a b^{4} c^{2} n x^{2} - 30 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c d n x^{2} + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} d^{2} n x^{2} + 40 \, {\left(b x + a\right)}^{n} b^{5} c^{2} x^{3} + 2 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c^{2} n^{2} - 40 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c^{2} n x + 60 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c d n x - 24 \, {\left(b x + a\right)}^{n} a^{4} b d^{2} n x + 18 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c^{2} n - 12 \, {\left(b x + a\right)}^{n} a^{4} b c d n + 40 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c^{2} - 60 \, {\left(b x + a\right)}^{n} a^{4} b c d + 24 \, {\left(b x + a\right)}^{n} a^{5} d^{2}}{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}}"," ",0,"((b*x + a)^n*b^5*d^2*n^4*x^5 + 2*(b*x + a)^n*b^5*c*d*n^4*x^4 + (b*x + a)^n*a*b^4*d^2*n^4*x^4 + 10*(b*x + a)^n*b^5*d^2*n^3*x^5 + (b*x + a)^n*b^5*c^2*n^4*x^3 + 2*(b*x + a)^n*a*b^4*c*d*n^4*x^3 + 22*(b*x + a)^n*b^5*c*d*n^3*x^4 + 6*(b*x + a)^n*a*b^4*d^2*n^3*x^4 + 35*(b*x + a)^n*b^5*d^2*n^2*x^5 + (b*x + a)^n*a*b^4*c^2*n^4*x^2 + 12*(b*x + a)^n*b^5*c^2*n^3*x^3 + 16*(b*x + a)^n*a*b^4*c*d*n^3*x^3 - 4*(b*x + a)^n*a^2*b^3*d^2*n^3*x^3 + 82*(b*x + a)^n*b^5*c*d*n^2*x^4 + 11*(b*x + a)^n*a*b^4*d^2*n^2*x^4 + 50*(b*x + a)^n*b^5*d^2*n*x^5 + 10*(b*x + a)^n*a*b^4*c^2*n^3*x^2 - 6*(b*x + a)^n*a^2*b^3*c*d*n^3*x^2 + 49*(b*x + a)^n*b^5*c^2*n^2*x^3 + 34*(b*x + a)^n*a*b^4*c*d*n^2*x^3 - 12*(b*x + a)^n*a^2*b^3*d^2*n^2*x^3 + 122*(b*x + a)^n*b^5*c*d*n*x^4 + 6*(b*x + a)^n*a*b^4*d^2*n*x^4 + 24*(b*x + a)^n*b^5*d^2*x^5 - 2*(b*x + a)^n*a^2*b^3*c^2*n^3*x + 29*(b*x + a)^n*a*b^4*c^2*n^2*x^2 - 36*(b*x + a)^n*a^2*b^3*c*d*n^2*x^2 + 12*(b*x + a)^n*a^3*b^2*d^2*n^2*x^2 + 78*(b*x + a)^n*b^5*c^2*n*x^3 + 20*(b*x + a)^n*a*b^4*c*d*n*x^3 - 8*(b*x + a)^n*a^2*b^3*d^2*n*x^3 + 60*(b*x + a)^n*b^5*c*d*x^4 - 18*(b*x + a)^n*a^2*b^3*c^2*n^2*x + 12*(b*x + a)^n*a^3*b^2*c*d*n^2*x + 20*(b*x + a)^n*a*b^4*c^2*n*x^2 - 30*(b*x + a)^n*a^2*b^3*c*d*n*x^2 + 12*(b*x + a)^n*a^3*b^2*d^2*n*x^2 + 40*(b*x + a)^n*b^5*c^2*x^3 + 2*(b*x + a)^n*a^3*b^2*c^2*n^2 - 40*(b*x + a)^n*a^2*b^3*c^2*n*x + 60*(b*x + a)^n*a^3*b^2*c*d*n*x - 24*(b*x + a)^n*a^4*b*d^2*n*x + 18*(b*x + a)^n*a^3*b^2*c^2*n - 12*(b*x + a)^n*a^4*b*c*d*n + 40*(b*x + a)^n*a^3*b^2*c^2 - 60*(b*x + a)^n*a^4*b*c*d + 24*(b*x + a)^n*a^5*d^2)/(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",0
924,1,659,0,1.234842," ","integrate(x*(b*x+a)^n*(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{4} d^{2} n^{3} x^{4} + 2 \, {\left(b x + a\right)}^{n} b^{4} c d n^{3} x^{3} + {\left(b x + a\right)}^{n} a b^{3} d^{2} n^{3} x^{3} + 6 \, {\left(b x + a\right)}^{n} b^{4} d^{2} n^{2} x^{4} + {\left(b x + a\right)}^{n} b^{4} c^{2} n^{3} x^{2} + 2 \, {\left(b x + a\right)}^{n} a b^{3} c d n^{3} x^{2} + 14 \, {\left(b x + a\right)}^{n} b^{4} c d n^{2} x^{3} + 3 \, {\left(b x + a\right)}^{n} a b^{3} d^{2} n^{2} x^{3} + 11 \, {\left(b x + a\right)}^{n} b^{4} d^{2} n x^{4} + {\left(b x + a\right)}^{n} a b^{3} c^{2} n^{3} x + 8 \, {\left(b x + a\right)}^{n} b^{4} c^{2} n^{2} x^{2} + 10 \, {\left(b x + a\right)}^{n} a b^{3} c d n^{2} x^{2} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} d^{2} n^{2} x^{2} + 28 \, {\left(b x + a\right)}^{n} b^{4} c d n x^{3} + 2 \, {\left(b x + a\right)}^{n} a b^{3} d^{2} n x^{3} + 6 \, {\left(b x + a\right)}^{n} b^{4} d^{2} x^{4} + 7 \, {\left(b x + a\right)}^{n} a b^{3} c^{2} n^{2} x - 4 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c d n^{2} x + 19 \, {\left(b x + a\right)}^{n} b^{4} c^{2} n x^{2} + 8 \, {\left(b x + a\right)}^{n} a b^{3} c d n x^{2} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} d^{2} n x^{2} + 16 \, {\left(b x + a\right)}^{n} b^{4} c d x^{3} - {\left(b x + a\right)}^{n} a^{2} b^{2} c^{2} n^{2} + 12 \, {\left(b x + a\right)}^{n} a b^{3} c^{2} n x - 16 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c d n x + 6 \, {\left(b x + a\right)}^{n} a^{3} b d^{2} n x + 12 \, {\left(b x + a\right)}^{n} b^{4} c^{2} x^{2} - 7 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c^{2} n + 4 \, {\left(b x + a\right)}^{n} a^{3} b c d n - 12 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c^{2} + 16 \, {\left(b x + a\right)}^{n} a^{3} b c d - 6 \, {\left(b x + a\right)}^{n} a^{4} d^{2}}{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*d^2*n^3*x^4 + 2*(b*x + a)^n*b^4*c*d*n^3*x^3 + (b*x + a)^n*a*b^3*d^2*n^3*x^3 + 6*(b*x + a)^n*b^4*d^2*n^2*x^4 + (b*x + a)^n*b^4*c^2*n^3*x^2 + 2*(b*x + a)^n*a*b^3*c*d*n^3*x^2 + 14*(b*x + a)^n*b^4*c*d*n^2*x^3 + 3*(b*x + a)^n*a*b^3*d^2*n^2*x^3 + 11*(b*x + a)^n*b^4*d^2*n*x^4 + (b*x + a)^n*a*b^3*c^2*n^3*x + 8*(b*x + a)^n*b^4*c^2*n^2*x^2 + 10*(b*x + a)^n*a*b^3*c*d*n^2*x^2 - 3*(b*x + a)^n*a^2*b^2*d^2*n^2*x^2 + 28*(b*x + a)^n*b^4*c*d*n*x^3 + 2*(b*x + a)^n*a*b^3*d^2*n*x^3 + 6*(b*x + a)^n*b^4*d^2*x^4 + 7*(b*x + a)^n*a*b^3*c^2*n^2*x - 4*(b*x + a)^n*a^2*b^2*c*d*n^2*x + 19*(b*x + a)^n*b^4*c^2*n*x^2 + 8*(b*x + a)^n*a*b^3*c*d*n*x^2 - 3*(b*x + a)^n*a^2*b^2*d^2*n*x^2 + 16*(b*x + a)^n*b^4*c*d*x^3 - (b*x + a)^n*a^2*b^2*c^2*n^2 + 12*(b*x + a)^n*a*b^3*c^2*n*x - 16*(b*x + a)^n*a^2*b^2*c*d*n*x + 6*(b*x + a)^n*a^3*b*d^2*n*x + 12*(b*x + a)^n*b^4*c^2*x^2 - 7*(b*x + a)^n*a^2*b^2*c^2*n + 4*(b*x + a)^n*a^3*b*c*d*n - 12*(b*x + a)^n*a^2*b^2*c^2 + 16*(b*x + a)^n*a^3*b*c*d - 6*(b*x + a)^n*a^4*d^2)/(b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4)","B",0
925,1,385,0,1.203925," ","integrate((b*x+a)^n*(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{3} d^{2} n^{2} x^{3} + 2 \, {\left(b x + a\right)}^{n} b^{3} c d n^{2} x^{2} + {\left(b x + a\right)}^{n} a b^{2} d^{2} n^{2} x^{2} + 3 \, {\left(b x + a\right)}^{n} b^{3} d^{2} n x^{3} + {\left(b x + a\right)}^{n} b^{3} c^{2} n^{2} x + 2 \, {\left(b x + a\right)}^{n} a b^{2} c d n^{2} x + 8 \, {\left(b x + a\right)}^{n} b^{3} c d n x^{2} + {\left(b x + a\right)}^{n} a b^{2} d^{2} n x^{2} + 2 \, {\left(b x + a\right)}^{n} b^{3} d^{2} x^{3} + {\left(b x + a\right)}^{n} a b^{2} c^{2} n^{2} + 5 \, {\left(b x + a\right)}^{n} b^{3} c^{2} n x + 6 \, {\left(b x + a\right)}^{n} a b^{2} c d n x - 2 \, {\left(b x + a\right)}^{n} a^{2} b d^{2} n x + 6 \, {\left(b x + a\right)}^{n} b^{3} c d x^{2} + 5 \, {\left(b x + a\right)}^{n} a b^{2} c^{2} n - 2 \, {\left(b x + a\right)}^{n} a^{2} b c d n + 6 \, {\left(b x + a\right)}^{n} b^{3} c^{2} x + 6 \, {\left(b x + a\right)}^{n} a b^{2} c^{2} - 6 \, {\left(b x + a\right)}^{n} a^{2} b c d + 2 \, {\left(b x + a\right)}^{n} a^{3} d^{2}}{b^{3} n^{3} + 6 \, b^{3} n^{2} + 11 \, b^{3} n + 6 \, b^{3}}"," ",0,"((b*x + a)^n*b^3*d^2*n^2*x^3 + 2*(b*x + a)^n*b^3*c*d*n^2*x^2 + (b*x + a)^n*a*b^2*d^2*n^2*x^2 + 3*(b*x + a)^n*b^3*d^2*n*x^3 + (b*x + a)^n*b^3*c^2*n^2*x + 2*(b*x + a)^n*a*b^2*c*d*n^2*x + 8*(b*x + a)^n*b^3*c*d*n*x^2 + (b*x + a)^n*a*b^2*d^2*n*x^2 + 2*(b*x + a)^n*b^3*d^2*x^3 + (b*x + a)^n*a*b^2*c^2*n^2 + 5*(b*x + a)^n*b^3*c^2*n*x + 6*(b*x + a)^n*a*b^2*c*d*n*x - 2*(b*x + a)^n*a^2*b*d^2*n*x + 6*(b*x + a)^n*b^3*c*d*x^2 + 5*(b*x + a)^n*a*b^2*c^2*n - 2*(b*x + a)^n*a^2*b*c*d*n + 6*(b*x + a)^n*b^3*c^2*x + 6*(b*x + a)^n*a*b^2*c^2 - 6*(b*x + a)^n*a^2*b*c*d + 2*(b*x + a)^n*a^3*d^2)/(b^3*n^3 + 6*b^3*n^2 + 11*b^3*n + 6*b^3)","B",0
926,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^2/x,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2} {\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((d*x + c)^2*(b*x + a)^n/x, x)","F",0
927,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2} {\left(b x + a\right)}^{n}}{x^{2}}\,{d x}"," ",0,"integrate((d*x + c)^2*(b*x + a)^n/x^2, x)","F",0
928,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^2/x^3,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2} {\left(b x + a\right)}^{n}}{x^{3}}\,{d x}"," ",0,"integrate((d*x + c)^2*(b*x + a)^n/x^3, x)","F",0
929,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^2/x^4,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2} {\left(b x + a\right)}^{n}}{x^{4}}\,{d x}"," ",0,"integrate((d*x + c)^2*(b*x + a)^n/x^4, x)","F",0
930,1,1873,0,1.353136," ","integrate(x^2*(b*x+a)^n*(d*x+c)^3,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{6} d^{3} n^{5} x^{6} + 3 \, {\left(b x + a\right)}^{n} b^{6} c d^{2} n^{5} x^{5} + {\left(b x + a\right)}^{n} a b^{5} d^{3} n^{5} x^{5} + 15 \, {\left(b x + a\right)}^{n} b^{6} d^{3} n^{4} x^{6} + 3 \, {\left(b x + a\right)}^{n} b^{6} c^{2} d n^{5} x^{4} + 3 \, {\left(b x + a\right)}^{n} a b^{5} c d^{2} n^{5} x^{4} + 48 \, {\left(b x + a\right)}^{n} b^{6} c d^{2} n^{4} x^{5} + 10 \, {\left(b x + a\right)}^{n} a b^{5} d^{3} n^{4} x^{5} + 85 \, {\left(b x + a\right)}^{n} b^{6} d^{3} n^{3} x^{6} + {\left(b x + a\right)}^{n} b^{6} c^{3} n^{5} x^{3} + 3 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} d n^{5} x^{3} + 51 \, {\left(b x + a\right)}^{n} b^{6} c^{2} d n^{4} x^{4} + 36 \, {\left(b x + a\right)}^{n} a b^{5} c d^{2} n^{4} x^{4} - 5 \, {\left(b x + a\right)}^{n} a^{2} b^{4} d^{3} n^{4} x^{4} + 285 \, {\left(b x + a\right)}^{n} b^{6} c d^{2} n^{3} x^{5} + 35 \, {\left(b x + a\right)}^{n} a b^{5} d^{3} n^{3} x^{5} + 225 \, {\left(b x + a\right)}^{n} b^{6} d^{3} n^{2} x^{6} + {\left(b x + a\right)}^{n} a b^{5} c^{3} n^{5} x^{2} + 18 \, {\left(b x + a\right)}^{n} b^{6} c^{3} n^{4} x^{3} + 42 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} d n^{4} x^{3} - 12 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c d^{2} n^{4} x^{3} + 321 \, {\left(b x + a\right)}^{n} b^{6} c^{2} d n^{3} x^{4} + 141 \, {\left(b x + a\right)}^{n} a b^{5} c d^{2} n^{3} x^{4} - 30 \, {\left(b x + a\right)}^{n} a^{2} b^{4} d^{3} n^{3} x^{4} + 780 \, {\left(b x + a\right)}^{n} b^{6} c d^{2} n^{2} x^{5} + 50 \, {\left(b x + a\right)}^{n} a b^{5} d^{3} n^{2} x^{5} + 274 \, {\left(b x + a\right)}^{n} b^{6} d^{3} n x^{6} + 16 \, {\left(b x + a\right)}^{n} a b^{5} c^{3} n^{4} x^{2} - 9 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} d n^{4} x^{2} + 121 \, {\left(b x + a\right)}^{n} b^{6} c^{3} n^{3} x^{3} + 195 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} d n^{3} x^{3} - 108 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c d^{2} n^{3} x^{3} + 20 \, {\left(b x + a\right)}^{n} a^{3} b^{3} d^{3} n^{3} x^{3} + 921 \, {\left(b x + a\right)}^{n} b^{6} c^{2} d n^{2} x^{4} + 216 \, {\left(b x + a\right)}^{n} a b^{5} c d^{2} n^{2} x^{4} - 55 \, {\left(b x + a\right)}^{n} a^{2} b^{4} d^{3} n^{2} x^{4} + 972 \, {\left(b x + a\right)}^{n} b^{6} c d^{2} n x^{5} + 24 \, {\left(b x + a\right)}^{n} a b^{5} d^{3} n x^{5} + 120 \, {\left(b x + a\right)}^{n} b^{6} d^{3} x^{6} - 2 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{3} n^{4} x + 89 \, {\left(b x + a\right)}^{n} a b^{5} c^{3} n^{3} x^{2} - 108 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} d n^{3} x^{2} + 36 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c d^{2} n^{3} x^{2} + 372 \, {\left(b x + a\right)}^{n} b^{6} c^{3} n^{2} x^{3} + 336 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} d n^{2} x^{3} - 240 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c d^{2} n^{2} x^{3} + 60 \, {\left(b x + a\right)}^{n} a^{3} b^{3} d^{3} n^{2} x^{3} + 1188 \, {\left(b x + a\right)}^{n} b^{6} c^{2} d n x^{4} + 108 \, {\left(b x + a\right)}^{n} a b^{5} c d^{2} n x^{4} - 30 \, {\left(b x + a\right)}^{n} a^{2} b^{4} d^{3} n x^{4} + 432 \, {\left(b x + a\right)}^{n} b^{6} c d^{2} x^{5} - 30 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{3} n^{3} x + 18 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c^{2} d n^{3} x + 194 \, {\left(b x + a\right)}^{n} a b^{5} c^{3} n^{2} x^{2} - 369 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} d n^{2} x^{2} + 252 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c d^{2} n^{2} x^{2} - 60 \, {\left(b x + a\right)}^{n} a^{4} b^{2} d^{3} n^{2} x^{2} + 508 \, {\left(b x + a\right)}^{n} b^{6} c^{3} n x^{3} + 180 \, {\left(b x + a\right)}^{n} a b^{5} c^{2} d n x^{3} - 144 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c d^{2} n x^{3} + 40 \, {\left(b x + a\right)}^{n} a^{3} b^{3} d^{3} n x^{3} + 540 \, {\left(b x + a\right)}^{n} b^{6} c^{2} d x^{4} + 2 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c^{3} n^{3} - 148 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{3} n^{2} x + 198 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c^{2} d n^{2} x - 72 \, {\left(b x + a\right)}^{n} a^{4} b^{2} c d^{2} n^{2} x + 120 \, {\left(b x + a\right)}^{n} a b^{5} c^{3} n x^{2} - 270 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{2} d n x^{2} + 216 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c d^{2} n x^{2} - 60 \, {\left(b x + a\right)}^{n} a^{4} b^{2} d^{3} n x^{2} + 240 \, {\left(b x + a\right)}^{n} b^{6} c^{3} x^{3} + 30 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c^{3} n^{2} - 18 \, {\left(b x + a\right)}^{n} a^{4} b^{2} c^{2} d n^{2} - 240 \, {\left(b x + a\right)}^{n} a^{2} b^{4} c^{3} n x + 540 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c^{2} d n x - 432 \, {\left(b x + a\right)}^{n} a^{4} b^{2} c d^{2} n x + 120 \, {\left(b x + a\right)}^{n} a^{5} b d^{3} n x + 148 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c^{3} n - 198 \, {\left(b x + a\right)}^{n} a^{4} b^{2} c^{2} d n + 72 \, {\left(b x + a\right)}^{n} a^{5} b c d^{2} n + 240 \, {\left(b x + a\right)}^{n} a^{3} b^{3} c^{3} - 540 \, {\left(b x + a\right)}^{n} a^{4} b^{2} c^{2} d + 432 \, {\left(b x + a\right)}^{n} a^{5} b c d^{2} - 120 \, {\left(b x + a\right)}^{n} a^{6} d^{3}}{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}}"," ",0,"((b*x + a)^n*b^6*d^3*n^5*x^6 + 3*(b*x + a)^n*b^6*c*d^2*n^5*x^5 + (b*x + a)^n*a*b^5*d^3*n^5*x^5 + 15*(b*x + a)^n*b^6*d^3*n^4*x^6 + 3*(b*x + a)^n*b^6*c^2*d*n^5*x^4 + 3*(b*x + a)^n*a*b^5*c*d^2*n^5*x^4 + 48*(b*x + a)^n*b^6*c*d^2*n^4*x^5 + 10*(b*x + a)^n*a*b^5*d^3*n^4*x^5 + 85*(b*x + a)^n*b^6*d^3*n^3*x^6 + (b*x + a)^n*b^6*c^3*n^5*x^3 + 3*(b*x + a)^n*a*b^5*c^2*d*n^5*x^3 + 51*(b*x + a)^n*b^6*c^2*d*n^4*x^4 + 36*(b*x + a)^n*a*b^5*c*d^2*n^4*x^4 - 5*(b*x + a)^n*a^2*b^4*d^3*n^4*x^4 + 285*(b*x + a)^n*b^6*c*d^2*n^3*x^5 + 35*(b*x + a)^n*a*b^5*d^3*n^3*x^5 + 225*(b*x + a)^n*b^6*d^3*n^2*x^6 + (b*x + a)^n*a*b^5*c^3*n^5*x^2 + 18*(b*x + a)^n*b^6*c^3*n^4*x^3 + 42*(b*x + a)^n*a*b^5*c^2*d*n^4*x^3 - 12*(b*x + a)^n*a^2*b^4*c*d^2*n^4*x^3 + 321*(b*x + a)^n*b^6*c^2*d*n^3*x^4 + 141*(b*x + a)^n*a*b^5*c*d^2*n^3*x^4 - 30*(b*x + a)^n*a^2*b^4*d^3*n^3*x^4 + 780*(b*x + a)^n*b^6*c*d^2*n^2*x^5 + 50*(b*x + a)^n*a*b^5*d^3*n^2*x^5 + 274*(b*x + a)^n*b^6*d^3*n*x^6 + 16*(b*x + a)^n*a*b^5*c^3*n^4*x^2 - 9*(b*x + a)^n*a^2*b^4*c^2*d*n^4*x^2 + 121*(b*x + a)^n*b^6*c^3*n^3*x^3 + 195*(b*x + a)^n*a*b^5*c^2*d*n^3*x^3 - 108*(b*x + a)^n*a^2*b^4*c*d^2*n^3*x^3 + 20*(b*x + a)^n*a^3*b^3*d^3*n^3*x^3 + 921*(b*x + a)^n*b^6*c^2*d*n^2*x^4 + 216*(b*x + a)^n*a*b^5*c*d^2*n^2*x^4 - 55*(b*x + a)^n*a^2*b^4*d^3*n^2*x^4 + 972*(b*x + a)^n*b^6*c*d^2*n*x^5 + 24*(b*x + a)^n*a*b^5*d^3*n*x^5 + 120*(b*x + a)^n*b^6*d^3*x^6 - 2*(b*x + a)^n*a^2*b^4*c^3*n^4*x + 89*(b*x + a)^n*a*b^5*c^3*n^3*x^2 - 108*(b*x + a)^n*a^2*b^4*c^2*d*n^3*x^2 + 36*(b*x + a)^n*a^3*b^3*c*d^2*n^3*x^2 + 372*(b*x + a)^n*b^6*c^3*n^2*x^3 + 336*(b*x + a)^n*a*b^5*c^2*d*n^2*x^3 - 240*(b*x + a)^n*a^2*b^4*c*d^2*n^2*x^3 + 60*(b*x + a)^n*a^3*b^3*d^3*n^2*x^3 + 1188*(b*x + a)^n*b^6*c^2*d*n*x^4 + 108*(b*x + a)^n*a*b^5*c*d^2*n*x^4 - 30*(b*x + a)^n*a^2*b^4*d^3*n*x^4 + 432*(b*x + a)^n*b^6*c*d^2*x^5 - 30*(b*x + a)^n*a^2*b^4*c^3*n^3*x + 18*(b*x + a)^n*a^3*b^3*c^2*d*n^3*x + 194*(b*x + a)^n*a*b^5*c^3*n^2*x^2 - 369*(b*x + a)^n*a^2*b^4*c^2*d*n^2*x^2 + 252*(b*x + a)^n*a^3*b^3*c*d^2*n^2*x^2 - 60*(b*x + a)^n*a^4*b^2*d^3*n^2*x^2 + 508*(b*x + a)^n*b^6*c^3*n*x^3 + 180*(b*x + a)^n*a*b^5*c^2*d*n*x^3 - 144*(b*x + a)^n*a^2*b^4*c*d^2*n*x^3 + 40*(b*x + a)^n*a^3*b^3*d^3*n*x^3 + 540*(b*x + a)^n*b^6*c^2*d*x^4 + 2*(b*x + a)^n*a^3*b^3*c^3*n^3 - 148*(b*x + a)^n*a^2*b^4*c^3*n^2*x + 198*(b*x + a)^n*a^3*b^3*c^2*d*n^2*x - 72*(b*x + a)^n*a^4*b^2*c*d^2*n^2*x + 120*(b*x + a)^n*a*b^5*c^3*n*x^2 - 270*(b*x + a)^n*a^2*b^4*c^2*d*n*x^2 + 216*(b*x + a)^n*a^3*b^3*c*d^2*n*x^2 - 60*(b*x + a)^n*a^4*b^2*d^3*n*x^2 + 240*(b*x + a)^n*b^6*c^3*x^3 + 30*(b*x + a)^n*a^3*b^3*c^3*n^2 - 18*(b*x + a)^n*a^4*b^2*c^2*d*n^2 - 240*(b*x + a)^n*a^2*b^4*c^3*n*x + 540*(b*x + a)^n*a^3*b^3*c^2*d*n*x - 432*(b*x + a)^n*a^4*b^2*c*d^2*n*x + 120*(b*x + a)^n*a^5*b*d^3*n*x + 148*(b*x + a)^n*a^3*b^3*c^3*n - 198*(b*x + a)^n*a^4*b^2*c^2*d*n + 72*(b*x + a)^n*a^5*b*c*d^2*n + 240*(b*x + a)^n*a^3*b^3*c^3 - 540*(b*x + a)^n*a^4*b^2*c^2*d + 432*(b*x + a)^n*a^5*b*c*d^2 - 120*(b*x + a)^n*a^6*d^3)/(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",0
931,1,1305,0,1.324998," ","integrate(x*(b*x+a)^n*(d*x+c)^3,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{5} d^{3} n^{4} x^{5} + 3 \, {\left(b x + a\right)}^{n} b^{5} c d^{2} n^{4} x^{4} + {\left(b x + a\right)}^{n} a b^{4} d^{3} n^{4} x^{4} + 10 \, {\left(b x + a\right)}^{n} b^{5} d^{3} n^{3} x^{5} + 3 \, {\left(b x + a\right)}^{n} b^{5} c^{2} d n^{4} x^{3} + 3 \, {\left(b x + a\right)}^{n} a b^{4} c d^{2} n^{4} x^{3} + 33 \, {\left(b x + a\right)}^{n} b^{5} c d^{2} n^{3} x^{4} + 6 \, {\left(b x + a\right)}^{n} a b^{4} d^{3} n^{3} x^{4} + 35 \, {\left(b x + a\right)}^{n} b^{5} d^{3} n^{2} x^{5} + {\left(b x + a\right)}^{n} b^{5} c^{3} n^{4} x^{2} + 3 \, {\left(b x + a\right)}^{n} a b^{4} c^{2} d n^{4} x^{2} + 36 \, {\left(b x + a\right)}^{n} b^{5} c^{2} d n^{3} x^{3} + 24 \, {\left(b x + a\right)}^{n} a b^{4} c d^{2} n^{3} x^{3} - 4 \, {\left(b x + a\right)}^{n} a^{2} b^{3} d^{3} n^{3} x^{3} + 123 \, {\left(b x + a\right)}^{n} b^{5} c d^{2} n^{2} x^{4} + 11 \, {\left(b x + a\right)}^{n} a b^{4} d^{3} n^{2} x^{4} + 50 \, {\left(b x + a\right)}^{n} b^{5} d^{3} n x^{5} + {\left(b x + a\right)}^{n} a b^{4} c^{3} n^{4} x + 13 \, {\left(b x + a\right)}^{n} b^{5} c^{3} n^{3} x^{2} + 30 \, {\left(b x + a\right)}^{n} a b^{4} c^{2} d n^{3} x^{2} - 9 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c d^{2} n^{3} x^{2} + 147 \, {\left(b x + a\right)}^{n} b^{5} c^{2} d n^{2} x^{3} + 51 \, {\left(b x + a\right)}^{n} a b^{4} c d^{2} n^{2} x^{3} - 12 \, {\left(b x + a\right)}^{n} a^{2} b^{3} d^{3} n^{2} x^{3} + 183 \, {\left(b x + a\right)}^{n} b^{5} c d^{2} n x^{4} + 6 \, {\left(b x + a\right)}^{n} a b^{4} d^{3} n x^{4} + 24 \, {\left(b x + a\right)}^{n} b^{5} d^{3} x^{5} + 12 \, {\left(b x + a\right)}^{n} a b^{4} c^{3} n^{3} x - 6 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c^{2} d n^{3} x + 59 \, {\left(b x + a\right)}^{n} b^{5} c^{3} n^{2} x^{2} + 87 \, {\left(b x + a\right)}^{n} a b^{4} c^{2} d n^{2} x^{2} - 54 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c d^{2} n^{2} x^{2} + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} d^{3} n^{2} x^{2} + 234 \, {\left(b x + a\right)}^{n} b^{5} c^{2} d n x^{3} + 30 \, {\left(b x + a\right)}^{n} a b^{4} c d^{2} n x^{3} - 8 \, {\left(b x + a\right)}^{n} a^{2} b^{3} d^{3} n x^{3} + 90 \, {\left(b x + a\right)}^{n} b^{5} c d^{2} x^{4} - {\left(b x + a\right)}^{n} a^{2} b^{3} c^{3} n^{3} + 47 \, {\left(b x + a\right)}^{n} a b^{4} c^{3} n^{2} x - 54 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c^{2} d n^{2} x + 18 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c d^{2} n^{2} x + 107 \, {\left(b x + a\right)}^{n} b^{5} c^{3} n x^{2} + 60 \, {\left(b x + a\right)}^{n} a b^{4} c^{2} d n x^{2} - 45 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c d^{2} n x^{2} + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} d^{3} n x^{2} + 120 \, {\left(b x + a\right)}^{n} b^{5} c^{2} d x^{3} - 12 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c^{3} n^{2} + 6 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c^{2} d n^{2} + 60 \, {\left(b x + a\right)}^{n} a b^{4} c^{3} n x - 120 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c^{2} d n x + 90 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c d^{2} n x - 24 \, {\left(b x + a\right)}^{n} a^{4} b d^{3} n x + 60 \, {\left(b x + a\right)}^{n} b^{5} c^{3} x^{2} - 47 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c^{3} n + 54 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c^{2} d n - 18 \, {\left(b x + a\right)}^{n} a^{4} b c d^{2} n - 60 \, {\left(b x + a\right)}^{n} a^{2} b^{3} c^{3} + 120 \, {\left(b x + a\right)}^{n} a^{3} b^{2} c^{2} d - 90 \, {\left(b x + a\right)}^{n} a^{4} b c d^{2} + 24 \, {\left(b x + a\right)}^{n} a^{5} d^{3}}{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}}"," ",0,"((b*x + a)^n*b^5*d^3*n^4*x^5 + 3*(b*x + a)^n*b^5*c*d^2*n^4*x^4 + (b*x + a)^n*a*b^4*d^3*n^4*x^4 + 10*(b*x + a)^n*b^5*d^3*n^3*x^5 + 3*(b*x + a)^n*b^5*c^2*d*n^4*x^3 + 3*(b*x + a)^n*a*b^4*c*d^2*n^4*x^3 + 33*(b*x + a)^n*b^5*c*d^2*n^3*x^4 + 6*(b*x + a)^n*a*b^4*d^3*n^3*x^4 + 35*(b*x + a)^n*b^5*d^3*n^2*x^5 + (b*x + a)^n*b^5*c^3*n^4*x^2 + 3*(b*x + a)^n*a*b^4*c^2*d*n^4*x^2 + 36*(b*x + a)^n*b^5*c^2*d*n^3*x^3 + 24*(b*x + a)^n*a*b^4*c*d^2*n^3*x^3 - 4*(b*x + a)^n*a^2*b^3*d^3*n^3*x^3 + 123*(b*x + a)^n*b^5*c*d^2*n^2*x^4 + 11*(b*x + a)^n*a*b^4*d^3*n^2*x^4 + 50*(b*x + a)^n*b^5*d^3*n*x^5 + (b*x + a)^n*a*b^4*c^3*n^4*x + 13*(b*x + a)^n*b^5*c^3*n^3*x^2 + 30*(b*x + a)^n*a*b^4*c^2*d*n^3*x^2 - 9*(b*x + a)^n*a^2*b^3*c*d^2*n^3*x^2 + 147*(b*x + a)^n*b^5*c^2*d*n^2*x^3 + 51*(b*x + a)^n*a*b^4*c*d^2*n^2*x^3 - 12*(b*x + a)^n*a^2*b^3*d^3*n^2*x^3 + 183*(b*x + a)^n*b^5*c*d^2*n*x^4 + 6*(b*x + a)^n*a*b^4*d^3*n*x^4 + 24*(b*x + a)^n*b^5*d^3*x^5 + 12*(b*x + a)^n*a*b^4*c^3*n^3*x - 6*(b*x + a)^n*a^2*b^3*c^2*d*n^3*x + 59*(b*x + a)^n*b^5*c^3*n^2*x^2 + 87*(b*x + a)^n*a*b^4*c^2*d*n^2*x^2 - 54*(b*x + a)^n*a^2*b^3*c*d^2*n^2*x^2 + 12*(b*x + a)^n*a^3*b^2*d^3*n^2*x^2 + 234*(b*x + a)^n*b^5*c^2*d*n*x^3 + 30*(b*x + a)^n*a*b^4*c*d^2*n*x^3 - 8*(b*x + a)^n*a^2*b^3*d^3*n*x^3 + 90*(b*x + a)^n*b^5*c*d^2*x^4 - (b*x + a)^n*a^2*b^3*c^3*n^3 + 47*(b*x + a)^n*a*b^4*c^3*n^2*x - 54*(b*x + a)^n*a^2*b^3*c^2*d*n^2*x + 18*(b*x + a)^n*a^3*b^2*c*d^2*n^2*x + 107*(b*x + a)^n*b^5*c^3*n*x^2 + 60*(b*x + a)^n*a*b^4*c^2*d*n*x^2 - 45*(b*x + a)^n*a^2*b^3*c*d^2*n*x^2 + 12*(b*x + a)^n*a^3*b^2*d^3*n*x^2 + 120*(b*x + a)^n*b^5*c^2*d*x^3 - 12*(b*x + a)^n*a^2*b^3*c^3*n^2 + 6*(b*x + a)^n*a^3*b^2*c^2*d*n^2 + 60*(b*x + a)^n*a*b^4*c^3*n*x - 120*(b*x + a)^n*a^2*b^3*c^2*d*n*x + 90*(b*x + a)^n*a^3*b^2*c*d^2*n*x - 24*(b*x + a)^n*a^4*b*d^3*n*x + 60*(b*x + a)^n*b^5*c^3*x^2 - 47*(b*x + a)^n*a^2*b^3*c^3*n + 54*(b*x + a)^n*a^3*b^2*c^2*d*n - 18*(b*x + a)^n*a^4*b*c*d^2*n - 60*(b*x + a)^n*a^2*b^3*c^3 + 120*(b*x + a)^n*a^3*b^2*c^2*d - 90*(b*x + a)^n*a^4*b*c*d^2 + 24*(b*x + a)^n*a^5*d^3)/(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",0
932,1,833,0,1.312257," ","integrate((b*x+a)^n*(d*x+c)^3,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{4} d^{3} n^{3} x^{4} + 3 \, {\left(b x + a\right)}^{n} b^{4} c d^{2} n^{3} x^{3} + {\left(b x + a\right)}^{n} a b^{3} d^{3} n^{3} x^{3} + 6 \, {\left(b x + a\right)}^{n} b^{4} d^{3} n^{2} x^{4} + 3 \, {\left(b x + a\right)}^{n} b^{4} c^{2} d n^{3} x^{2} + 3 \, {\left(b x + a\right)}^{n} a b^{3} c d^{2} n^{3} x^{2} + 21 \, {\left(b x + a\right)}^{n} b^{4} c d^{2} n^{2} x^{3} + 3 \, {\left(b x + a\right)}^{n} a b^{3} d^{3} n^{2} x^{3} + 11 \, {\left(b x + a\right)}^{n} b^{4} d^{3} n x^{4} + {\left(b x + a\right)}^{n} b^{4} c^{3} n^{3} x + 3 \, {\left(b x + a\right)}^{n} a b^{3} c^{2} d n^{3} x + 24 \, {\left(b x + a\right)}^{n} b^{4} c^{2} d n^{2} x^{2} + 15 \, {\left(b x + a\right)}^{n} a b^{3} c d^{2} n^{2} x^{2} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} d^{3} n^{2} x^{2} + 42 \, {\left(b x + a\right)}^{n} b^{4} c d^{2} n x^{3} + 2 \, {\left(b x + a\right)}^{n} a b^{3} d^{3} n x^{3} + 6 \, {\left(b x + a\right)}^{n} b^{4} d^{3} x^{4} + {\left(b x + a\right)}^{n} a b^{3} c^{3} n^{3} + 9 \, {\left(b x + a\right)}^{n} b^{4} c^{3} n^{2} x + 21 \, {\left(b x + a\right)}^{n} a b^{3} c^{2} d n^{2} x - 6 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c d^{2} n^{2} x + 57 \, {\left(b x + a\right)}^{n} b^{4} c^{2} d n x^{2} + 12 \, {\left(b x + a\right)}^{n} a b^{3} c d^{2} n x^{2} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} d^{3} n x^{2} + 24 \, {\left(b x + a\right)}^{n} b^{4} c d^{2} x^{3} + 9 \, {\left(b x + a\right)}^{n} a b^{3} c^{3} n^{2} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c^{2} d n^{2} + 26 \, {\left(b x + a\right)}^{n} b^{4} c^{3} n x + 36 \, {\left(b x + a\right)}^{n} a b^{3} c^{2} d n x - 24 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c d^{2} n x + 6 \, {\left(b x + a\right)}^{n} a^{3} b d^{3} n x + 36 \, {\left(b x + a\right)}^{n} b^{4} c^{2} d x^{2} + 26 \, {\left(b x + a\right)}^{n} a b^{3} c^{3} n - 21 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c^{2} d n + 6 \, {\left(b x + a\right)}^{n} a^{3} b c d^{2} n + 24 \, {\left(b x + a\right)}^{n} b^{4} c^{3} x + 24 \, {\left(b x + a\right)}^{n} a b^{3} c^{3} - 36 \, {\left(b x + a\right)}^{n} a^{2} b^{2} c^{2} d + 24 \, {\left(b x + a\right)}^{n} a^{3} b c d^{2} - 6 \, {\left(b x + a\right)}^{n} a^{4} d^{3}}{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*d^3*n^3*x^4 + 3*(b*x + a)^n*b^4*c*d^2*n^3*x^3 + (b*x + a)^n*a*b^3*d^3*n^3*x^3 + 6*(b*x + a)^n*b^4*d^3*n^2*x^4 + 3*(b*x + a)^n*b^4*c^2*d*n^3*x^2 + 3*(b*x + a)^n*a*b^3*c*d^2*n^3*x^2 + 21*(b*x + a)^n*b^4*c*d^2*n^2*x^3 + 3*(b*x + a)^n*a*b^3*d^3*n^2*x^3 + 11*(b*x + a)^n*b^4*d^3*n*x^4 + (b*x + a)^n*b^4*c^3*n^3*x + 3*(b*x + a)^n*a*b^3*c^2*d*n^3*x + 24*(b*x + a)^n*b^4*c^2*d*n^2*x^2 + 15*(b*x + a)^n*a*b^3*c*d^2*n^2*x^2 - 3*(b*x + a)^n*a^2*b^2*d^3*n^2*x^2 + 42*(b*x + a)^n*b^4*c*d^2*n*x^3 + 2*(b*x + a)^n*a*b^3*d^3*n*x^3 + 6*(b*x + a)^n*b^4*d^3*x^4 + (b*x + a)^n*a*b^3*c^3*n^3 + 9*(b*x + a)^n*b^4*c^3*n^2*x + 21*(b*x + a)^n*a*b^3*c^2*d*n^2*x - 6*(b*x + a)^n*a^2*b^2*c*d^2*n^2*x + 57*(b*x + a)^n*b^4*c^2*d*n*x^2 + 12*(b*x + a)^n*a*b^3*c*d^2*n*x^2 - 3*(b*x + a)^n*a^2*b^2*d^3*n*x^2 + 24*(b*x + a)^n*b^4*c*d^2*x^3 + 9*(b*x + a)^n*a*b^3*c^3*n^2 - 3*(b*x + a)^n*a^2*b^2*c^2*d*n^2 + 26*(b*x + a)^n*b^4*c^3*n*x + 36*(b*x + a)^n*a*b^3*c^2*d*n*x - 24*(b*x + a)^n*a^2*b^2*c*d^2*n*x + 6*(b*x + a)^n*a^3*b*d^3*n*x + 36*(b*x + a)^n*b^4*c^2*d*x^2 + 26*(b*x + a)^n*a*b^3*c^3*n - 21*(b*x + a)^n*a^2*b^2*c^2*d*n + 6*(b*x + a)^n*a^3*b*c*d^2*n + 24*(b*x + a)^n*b^4*c^3*x + 24*(b*x + a)^n*a*b^3*c^3 - 36*(b*x + a)^n*a^2*b^2*c^2*d + 24*(b*x + a)^n*a^3*b*c*d^2 - 6*(b*x + a)^n*a^4*d^3)/(b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4)","B",0
933,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^3/x,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3} {\left(b x + a\right)}^{n}}{x}\,{d x}"," ",0,"integrate((d*x + c)^3*(b*x + a)^n/x, x)","F",0
934,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^3/x^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3} {\left(b x + a\right)}^{n}}{x^{2}}\,{d x}"," ",0,"integrate((d*x + c)^3*(b*x + a)^n/x^2, x)","F",0
935,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^3/x^3,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3} {\left(b x + a\right)}^{n}}{x^{3}}\,{d x}"," ",0,"integrate((d*x + c)^3*(b*x + a)^n/x^3, x)","F",0
936,1,47,0,1.186134," ","integrate(x^(1+2*n)*(b*x+a)^n*(3*b*x+2*a),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b x^{2} e^{\left(2 \, n \log\left(x\right) + \log\left(x\right)\right)} + {\left(b x + a\right)}^{n} a x e^{\left(2 \, n \log\left(x\right) + \log\left(x\right)\right)}}{n + 1}"," ",0,"((b*x + a)^n*b*x^2*e^(2*n*log(x) + log(x)) + (b*x + a)^n*a*x*e^(2*n*log(x) + log(x)))/(n + 1)","B",0
937,0,0,0,0.000000," ","integrate(x^2*(b*x+a)^n/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{2}}{d x + c}\,{d x}"," ",0,"integrate((b*x + a)^n*x^2/(d*x + c), x)","F",0
938,0,0,0,0.000000," ","integrate(x*(b*x+a)^n/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x}{d x + c}\,{d x}"," ",0,"integrate((b*x + a)^n*x/(d*x + c), x)","F",0
939,0,0,0,0.000000," ","integrate((b*x+a)^n/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{d x + c}\,{d x}"," ",0,"integrate((b*x + a)^n/(d*x + c), x)","F",0
940,0,0,0,0.000000," ","integrate((b*x+a)^n/x/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)} x}\,{d x}"," ",0,"integrate((b*x + a)^n/((d*x + c)*x), x)","F",0
941,0,0,0,0.000000," ","integrate((b*x+a)^n/x^2/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)} x^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n/((d*x + c)*x^2), x)","F",0
942,0,0,0,0.000000," ","integrate(x^3*(b*x+a)^n/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{3}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^3/(d*x + c)^2, x)","F",0
943,0,0,0,0.000000," ","integrate(x^2*(b*x+a)^n/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^2/(d*x + c)^2, x)","F",0
944,0,0,0,0.000000," ","integrate(x*(b*x+a)^n/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n*x/(d*x + c)^2, x)","F",0
945,0,0,0,0.000000," ","integrate((b*x+a)^n/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n/(d*x + c)^2, x)","F",0
946,0,0,0,0.000000," ","integrate((b*x+a)^n/x/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{2} x}\,{d x}"," ",0,"integrate((b*x + a)^n/((d*x + c)^2*x), x)","F",0
947,0,0,0,0.000000," ","integrate((b*x+a)^n/x^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n/((d*x + c)^2*x^2), x)","F",0
948,0,0,0,0.000000," ","integrate((b*x)^(5/2)*(d*x+c)^n*(f*x+e)^2,x, algorithm=""giac"")","\int \left(b x\right)^{\frac{5}{2}} {\left(f x + e\right)}^{2} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x)^(5/2)*(f*x + e)^2*(d*x + c)^n, x)","F",0
949,0,0,0,0.000000," ","integrate((b*x)^(5/2)*(d*x+c)^n*(f*x+e),x, algorithm=""giac"")","\int \left(b x\right)^{\frac{5}{2}} {\left(f x + e\right)} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((b*x)^(5/2)*(f*x + e)*(d*x + c)^n, x)","F",0
950,0,0,0,0.000000," ","integrate((b*x)^(5/2)*(d*x+c)^n/(f*x+e),x, algorithm=""giac"")","\int \frac{\left(b x\right)^{\frac{5}{2}} {\left(d x + c\right)}^{n}}{f x + e}\,{d x}"," ",0,"integrate((b*x)^(5/2)*(d*x + c)^n/(f*x + e), x)","F",0
951,0,0,0,0.000000," ","integrate((b*x)^(5/2)*(d*x+c)^n/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\left(b x\right)^{\frac{5}{2}} {\left(d x + c\right)}^{n}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x)^(5/2)*(d*x + c)^n/(f*x + e)^2, x)","F",0
952,0,0,0,0.000000," ","integrate((b*x)^m*(d*x+c)^n*(f*x+e)^2,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} \left(b x\right)^{m} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((f*x + e)^2*(b*x)^m*(d*x + c)^n, x)","F",0
953,0,0,0,0.000000," ","integrate((b*x)^m*(d*x+c)^n*(f*x+e),x, algorithm=""giac"")","\int {\left(f x + e\right)} \left(b x\right)^{m} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((f*x + e)*(b*x)^m*(d*x + c)^n, x)","F",0
954,0,0,0,0.000000," ","integrate((b*x)^m*(d*x+c)^n/(f*x+e),x, algorithm=""giac"")","\int \frac{\left(b x\right)^{m} {\left(d x + c\right)}^{n}}{f x + e}\,{d x}"," ",0,"integrate((b*x)^m*(d*x + c)^n/(f*x + e), x)","F",0
955,0,0,0,0.000000," ","integrate((b*x)^m*(d*x+c)^n/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\left(b x\right)^{m} {\left(d x + c\right)}^{n}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x)^m*(d*x + c)^n/(f*x + e)^2, x)","F",0
956,0,0,0,0.000000," ","integrate((b*x)^m*(d*x+c)^n*(f*x+e)^p,x, algorithm=""giac"")","\int \left(b x\right)^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((b*x)^m*(d*x + c)^n*(f*x + e)^p, x)","F",0
957,0,0,0,0.000000," ","integrate((e*x)^m*(-b*x+a)^(2+n)*(b*x+a)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} {\left(-b x + a\right)}^{n + 2} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((b*x + a)^n*(-b*x + a)^(n + 2)*(e*x)^m, x)","F",0
958,0,0,0,0.000000," ","integrate(x^2*(b*x+a)^n*(d*x+c)^p,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^p*x^2, x)","F",0
959,0,0,0,0.000000," ","integrate(x*(b*x+a)^n*(d*x+c)^p,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{p} x\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^p*x, x)","F",0
960,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^p,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} {\left(d x + c\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^p, x)","F",0
961,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^p/x,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} {\left(d x + c\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^p/x, x)","F",0
962,0,0,0,0.000000," ","integrate((b*x+a)^n*(d*x+c)^p/x^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} {\left(d x + c\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n*(d*x + c)^p/x^2, x)","F",0
963,0,0,0,0.000000," ","integrate((b*x)^(3/2)*(d*x+c)^n*(f*x+e)^p,x, algorithm=""giac"")","\int \left(b x\right)^{\frac{3}{2}} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((b*x)^(3/2)*(d*x + c)^n*(f*x + e)^p, x)","F",0
964,0,0,0,0.000000," ","integrate((b*x)^(1/2)*(d*x+c)^n*(f*x+e)^p,x, algorithm=""giac"")","\int \sqrt{b x} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate(sqrt(b*x)*(d*x + c)^n*(f*x + e)^p, x)","F",0
965,0,0,0,0.000000," ","integrate((d*x+c)^n*(f*x+e)^p/(b*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{n} {\left(f x + e\right)}^{p}}{\sqrt{b x}}\,{d x}"," ",0,"integrate((d*x + c)^n*(f*x + e)^p/sqrt(b*x), x)","F",0
966,0,0,0,0.000000," ","integrate((b*x)^m*(d*x+pi)^n*(f*x+E)^p,x, algorithm=""giac"")","\int {\left(\pi + d x\right)}^{n} \left(b x\right)^{m} {\left(f x + E\right)}^{p}\,{d x}"," ",0,"integrate((pi + d*x)^n*(b*x)^m*(f*x + E)^p, x)","F",0
967,0,0,0,0.000000," ","integrate((b*x)^m*(d*x+pi)^n*(f*x+e)^p,x, algorithm=""giac"")","\int {\left(\pi + d x\right)}^{n} \left(b x\right)^{m} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((pi + d*x)^n*(b*x)^m*(f*x + e)^p, x)","F",0
968,0,0,0,0.000000," ","integrate((b*x)^(5/2)*(d*x+pi)^n*(f*x+E)^p,x, algorithm=""giac"")","\int \left(b x\right)^{\frac{5}{2}} {\left(\pi + d x\right)}^{n} {\left(f x + E\right)}^{p}\,{d x}"," ",0,"integrate((b*x)^(5/2)*(pi + d*x)^n*(f*x + E)^p, x)","F",0
969,0,0,0,0.000000," ","integrate((b*x)^(5/2)*(d*x+pi)^n*(f*x+e)^p,x, algorithm=""giac"")","\int \left(b x\right)^{\frac{5}{2}} {\left(\pi + d x\right)}^{n} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((b*x)^(5/2)*(pi + d*x)^n*(f*x + e)^p, x)","F",0
970,0,0,0,0.000000," ","integrate(x^3*(b*x+a)^n/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{3}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^3/(d*x + c)^n, x)","F",0
971,0,0,0,0.000000," ","integrate(x^2*(b*x+a)^n/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x^{2}}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^n*x^2/(d*x + c)^n, x)","F",0
972,0,0,0,0.000000," ","integrate(x*(b*x+a)^n/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n} x}{{\left(d x + c\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)^n*x/(d*x + c)^n, x)","F",0
973,0,0,0,0.000000," ","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
974,0,0,0,0.000000," ","integrate((b*x+a)^n/x/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{n} x}\,{d x}"," ",0,"integrate((b*x + a)^n/((d*x + c)^n*x), x)","F",0
975,0,0,0,0.000000," ","integrate((b*x+a)^n/x^2/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{n} x^{2}}\,{d x}"," ",0,"integrate((b*x + a)^n/((d*x + c)^n*x^2), x)","F",0
976,0,0,0,0.000000," ","integrate((b*x+a)^n/x^3/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{n} x^{3}}\,{d x}"," ",0,"integrate((b*x + a)^n/((d*x + c)^n*x^3), x)","F",0
977,0,0,0,0.000000," ","integrate((b*x+a)^n/x^4/((d*x+c)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n}}{{\left(d x + c\right)}^{n} x^{4}}\,{d x}"," ",0,"integrate((b*x + a)^n/((d*x + c)^n*x^4), x)","F",0
978,0,0,0,0.000000," ","integrate((1-x)^n*x^3/((1+x)^n),x, algorithm=""giac"")","\int \frac{x^{3} {\left(-x + 1\right)}^{n}}{{\left(x + 1\right)}^{n}}\,{d x}"," ",0,"integrate(x^3*(-x + 1)^n/(x + 1)^n, x)","F",0
979,0,0,0,0.000000," ","integrate((1-x)^n*x^2/((1+x)^n),x, algorithm=""giac"")","\int \frac{x^{2} {\left(-x + 1\right)}^{n}}{{\left(x + 1\right)}^{n}}\,{d x}"," ",0,"integrate(x^2*(-x + 1)^n/(x + 1)^n, x)","F",0
980,0,0,0,0.000000," ","integrate((1-x)^n*x/((1+x)^n),x, algorithm=""giac"")","\int \frac{x {\left(-x + 1\right)}^{n}}{{\left(x + 1\right)}^{n}}\,{d x}"," ",0,"integrate(x*(-x + 1)^n/(x + 1)^n, x)","F",0
981,0,0,0,0.000000," ","integrate((1-x)^n/((1+x)^n),x, algorithm=""giac"")","\int \frac{{\left(-x + 1\right)}^{n}}{{\left(x + 1\right)}^{n}}\,{d x}"," ",0,"integrate((-x + 1)^n/(x + 1)^n, x)","F",0
982,0,0,0,0.000000," ","integrate((1-x)^n/x/((1+x)^n),x, algorithm=""giac"")","\int \frac{{\left(-x + 1\right)}^{n}}{{\left(x + 1\right)}^{n} x}\,{d x}"," ",0,"integrate((-x + 1)^n/((x + 1)^n*x), x)","F",0
983,0,0,0,0.000000," ","integrate((1-x)^n/x^2/((1+x)^n),x, algorithm=""giac"")","\int \frac{{\left(-x + 1\right)}^{n}}{{\left(x + 1\right)}^{n} x^{2}}\,{d x}"," ",0,"integrate((-x + 1)^n/((x + 1)^n*x^2), x)","F",0
984,0,0,0,0.000000," ","integrate((1-x)^n/x^3/((1+x)^n),x, algorithm=""giac"")","\int \frac{{\left(-x + 1\right)}^{n}}{{\left(x + 1\right)}^{n} x^{3}}\,{d x}"," ",0,"integrate((-x + 1)^n/((x + 1)^n*x^3), x)","F",0
985,0,0,0,0.000000," ","integrate((1-x)^n/x^4/((1+x)^n),x, algorithm=""giac"")","\int \frac{{\left(-x + 1\right)}^{n}}{{\left(x + 1\right)}^{n} x^{4}}\,{d x}"," ",0,"integrate((-x + 1)^n/((x + 1)^n*x^4), x)","F",0
986,0,0,0,0.000000," ","integrate(x^m*(-a*x+1)^n*(a*x+1)^n,x, algorithm=""giac"")","\int {\left(a x + 1\right)}^{n} {\left(-a x + 1\right)}^{n} x^{m}\,{d x}"," ",0,"integrate((a*x + 1)^n*(-a*x + 1)^n*x^m, x)","F",0
987,0,0,0,0.000000," ","integrate(x^m*(-a*x+1)^n*(2*a*x+2)^n,x, algorithm=""giac"")","\int {\left(2 \, a x + 2\right)}^{n} {\left(-a x + 1\right)}^{n} x^{m}\,{d x}"," ",0,"integrate((2*a*x + 2)^n*(-a*x + 1)^n*x^m, x)","F",0
988,0,0,0,0.000000," ","integrate(x^m*(-a*x+2)^n*(a*x+2)^n,x, algorithm=""giac"")","\int {\left(a x + 2\right)}^{n} {\left(-a x + 2\right)}^{n} x^{m}\,{d x}"," ",0,"integrate((a*x + 2)^n*(-a*x + 2)^n*x^m, x)","F",0
989,0,0,0,0.000000," ","integrate(x^m*(1-1/2*a*x)^n*(a*x+2)^n,x, algorithm=""giac"")","\int {\left(a x + 2\right)}^{n} {\left(-\frac{1}{2} \, a x + 1\right)}^{n} x^{m}\,{d x}"," ",0,"integrate((a*x + 2)^n*(-1/2*a*x + 1)^n*x^m, x)","F",0
990,0,0,0,0.000000," ","integrate(x^m*(-2*a*x+3)^(2+n)*(4*a*x+6)^n,x, algorithm=""giac"")","\int {\left(4 \, a x + 6\right)}^{n} {\left(-2 \, a x + 3\right)}^{n + 2} x^{m}\,{d x}"," ",0,"integrate((4*a*x + 6)^n*(-2*a*x + 3)^(n + 2)*x^m, x)","F",0
991,0,0,0,0.000000," ","integrate(x^m*(-2*a*x+3)^(1+n)*(4*a*x+6)^n,x, algorithm=""giac"")","\int {\left(4 \, a x + 6\right)}^{n} {\left(-2 \, a x + 3\right)}^{n + 1} x^{m}\,{d x}"," ",0,"integrate((4*a*x + 6)^n*(-2*a*x + 3)^(n + 1)*x^m, x)","F",0
992,0,0,0,0.000000," ","integrate(x^m*(-2*a*x+3)^n*(4*a*x+6)^n,x, algorithm=""giac"")","\int {\left(4 \, a x + 6\right)}^{n} {\left(-2 \, a x + 3\right)}^{n} x^{m}\,{d x}"," ",0,"integrate((4*a*x + 6)^n*(-2*a*x + 3)^n*x^m, x)","F",0
993,0,0,0,0.000000," ","integrate(x^m*(-2*a*x+3)^(-1+n)*(4*a*x+6)^n,x, algorithm=""giac"")","\int {\left(4 \, a x + 6\right)}^{n} {\left(-2 \, a x + 3\right)}^{n - 1} x^{m}\,{d x}"," ",0,"integrate((4*a*x + 6)^n*(-2*a*x + 3)^(n - 1)*x^m, x)","F",0
994,0,0,0,0.000000," ","integrate(x^m*(-2*a*x+3)^(-2+n)*(4*a*x+6)^n,x, algorithm=""giac"")","\int {\left(4 \, a x + 6\right)}^{n} {\left(-2 \, a x + 3\right)}^{n - 2} x^{m}\,{d x}"," ",0,"integrate((4*a*x + 6)^n*(-2*a*x + 3)^(n - 2)*x^m, x)","F",0
995,0,0,0,0.000000," ","integrate(x^m*(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} x^{m}\,{d x}"," ",0,"integrate((b*x + a)^(n + 1)*(d*x + c)^n*x^m, x)","F",0
996,0,0,0,0.000000," ","integrate((a-x)^m*(f*x)^p*(d*x+c)^n,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{n} \left(f x\right)^{p} {\left(a - x\right)}^{m}\,{d x}"," ",0,"integrate((d*x + c)^n*(f*x)^p*(a - x)^m, x)","F",0
997,0,0,0,0.000000," ","integrate((1-x)^(-1/2+p)*(1+x)^(1/2+p)/((c*x)^(2+2*p)),x, algorithm=""giac"")","\int \frac{{\left(x + 1\right)}^{p + \frac{1}{2}} {\left(-x + 1\right)}^{p - \frac{1}{2}}}{\left(c x\right)^{2 \, p + 2}}\,{d x}"," ",0,"integrate((x + 1)^(p + 1/2)*(-x + 1)^(p - 1/2)/(c*x)^(2*p + 2), x)","F",0
998,0,0,0,0.000000," ","integrate((1+x/a)^(1/2*n)/x^2/((1-x/a)^(1/2*n)),x, algorithm=""giac"")","\int \frac{{\left(\frac{x}{a} + 1\right)}^{\frac{1}{2} \, n}}{x^{2} {\left(-\frac{x}{a} + 1\right)}^{\frac{1}{2} \, n}}\,{d x}"," ",0,"integrate((x/a + 1)^(1/2*n)/(x^2*(-x/a + 1)^(1/2*n)), x)","F",0
999,0,0,0,0.000000," ","integrate((b*x)^(-2-2*m)*(-a*x+1)^m*(a*x+1)^m,x, algorithm=""giac"")","\int {\left(a x + 1\right)}^{m} {\left(-a x + 1\right)}^{m} \left(b x\right)^{-2 \, m - 2}\,{d x}"," ",0,"integrate((a*x + 1)^m*(-a*x + 1)^m*(b*x)^(-2*m - 2), x)","F",0
1000,0,0,0,0.000000," ","integrate((a*x+1)^n/x/((-a*x+1)^n),x, algorithm=""giac"")","\int \frac{{\left(a x + 1\right)}^{n}}{{\left(-a x + 1\right)}^{n} x}\,{d x}"," ",0,"integrate((a*x + 1)^n/((-a*x + 1)^n*x), x)","F",0
1001,0,0,0,0.000000," ","integrate((-a*x+1)^(1-n)*(a*x+1)^(1+n)/x^2,x, algorithm=""giac"")","\int \frac{{\left(a x + 1\right)}^{n + 1} {\left(-a x + 1\right)}^{-n + 1}}{x^{2}}\,{d x}"," ",0,"integrate((a*x + 1)^(n + 1)*(-a*x + 1)^(-n + 1)/x^2, x)","F",0
1002,1,77,0,1.162638," ","integrate(x^2/(-a*x+1)^7/(a*x+1)^4,x, algorithm=""giac"")","-\frac{12 \, a^{2} x^{2} + 33 \, a x + 25}{1536 \, {\left(a x + 1\right)}^{3} a^{3}} + \frac{12 \, a^{5} x^{5} - 75 \, a^{4} x^{4} + 196 \, a^{3} x^{3} - 270 \, a^{2} x^{2} + 192 \, a x - 39}{1536 \, {\left(a x - 1\right)}^{6} a^{3}}"," ",0,"-1/1536*(12*a^2*x^2 + 33*a*x + 25)/((a*x + 1)^3*a^3) + 1/1536*(12*a^5*x^5 - 75*a^4*x^4 + 196*a^3*x^3 - 270*a^2*x^2 + 192*a*x - 39)/((a*x - 1)^6*a^3)","B",0
1003,1,133,0,1.262851," ","integrate(x^2/(-a*x+1)^11/(a*x+1)^7,x, algorithm=""giac"")","-\frac{2145 \, a^{5} x^{5} + 12540 \, a^{4} x^{4} + 30030 \, a^{3} x^{3} + 37080 \, a^{2} x^{2} + 23841 \, a x + 6476}{983040 \, {\left(a x + 1\right)}^{6} a^{3}} + \frac{2145 \, a^{9} x^{9} - 21780 \, a^{8} x^{8} + 99660 \, a^{7} x^{7} - 270480 \, a^{6} x^{6} + 481446 \, a^{5} x^{5} - 584920 \, a^{4} x^{4} + 486220 \, a^{3} x^{3} - 265680 \, a^{2} x^{2} + 84065 \, a x - 9908}{983040 \, {\left(a x - 1\right)}^{10} a^{3}}"," ",0,"-1/983040*(2145*a^5*x^5 + 12540*a^4*x^4 + 30030*a^3*x^3 + 37080*a^2*x^2 + 23841*a*x + 6476)/((a*x + 1)^6*a^3) + 1/983040*(2145*a^9*x^9 - 21780*a^8*x^8 + 99660*a^7*x^7 - 270480*a^6*x^6 + 481446*a^5*x^5 - 584920*a^4*x^4 + 486220*a^3*x^3 - 265680*a^2*x^2 + 84065*a*x - 9908)/((a*x - 1)^10*a^3)","B",0
1004,1,205,0,1.212943," ","integrate(x^2/(-a*x+1)^16/(a*x+1)^11,x, algorithm=""giac"")","-\frac{213180 \, a^{9} x^{9} + 2107575 \, a^{8} x^{8} + 9341160 \, a^{7} x^{7} + 24399420 \, a^{6} x^{6} + 41474016 \, a^{5} x^{5} + 47696050 \, a^{4} x^{4} + 37231960 \, a^{3} x^{3} + 19104300 \, a^{2} x^{2} + 5879780 \, a x + 833135}{251658240 \, {\left(a x + 1\right)}^{10} a^{3}} + \frac{213180 \, a^{14} x^{14} - 3221925 \, a^{13} x^{13} + 22737585 \, a^{12} x^{12} - 99390330 \, a^{11} x^{11} + 300923766 \, a^{10} x^{10} - 668342675 \, a^{9} x^{9} + 1124389695 \, a^{8} x^{8} - 1457870700 \, a^{7} x^{7} + 1466424960 \, a^{6} x^{6} - 1140648795 \, a^{5} x^{5} + 676154655 \, a^{4} x^{4} - 295952250 \, a^{3} x^{3} + 89819310 \, a^{2} x^{2} - 16508685 \, a x + 1264017}{251658240 \, {\left(a x - 1\right)}^{15} a^{3}}"," ",0,"-1/251658240*(213180*a^9*x^9 + 2107575*a^8*x^8 + 9341160*a^7*x^7 + 24399420*a^6*x^6 + 41474016*a^5*x^5 + 47696050*a^4*x^4 + 37231960*a^3*x^3 + 19104300*a^2*x^2 + 5879780*a*x + 833135)/((a*x + 1)^10*a^3) + 1/251658240*(213180*a^14*x^14 - 3221925*a^13*x^13 + 22737585*a^12*x^12 - 99390330*a^11*x^11 + 300923766*a^10*x^10 - 668342675*a^9*x^9 + 1124389695*a^8*x^8 - 1457870700*a^7*x^7 + 1466424960*a^6*x^6 - 1140648795*a^5*x^5 + 676154655*a^4*x^4 - 295952250*a^3*x^3 + 89819310*a^2*x^2 - 16508685*a*x + 1264017)/((a*x - 1)^15*a^3)","B",0
1005,1,284,0,1.380849," ","integrate(x^2*(-a*x+1)^(-1-1/2*n*(1+n))*(a*x+1)^(-1-1/2*(-1+n)*n),x, algorithm=""giac"")","-\frac{a^{3} n x^{3} e^{\left(-\frac{1}{2} \, n^{2} \log\left(a x + 1\right) - \frac{1}{2} \, n^{2} \log\left(-a x + 1\right) + \frac{1}{2} \, n \log\left(a x + 1\right) - \frac{1}{2} \, n \log\left(-a x + 1\right) - \log\left(a x + 1\right) - \log\left(-a x + 1\right)\right)} - a^{2} x^{2} e^{\left(-\frac{1}{2} \, n^{2} \log\left(a x + 1\right) - \frac{1}{2} \, n^{2} \log\left(-a x + 1\right) + \frac{1}{2} \, n \log\left(a x + 1\right) - \frac{1}{2} \, n \log\left(-a x + 1\right) - \log\left(a x + 1\right) - \log\left(-a x + 1\right)\right)} - a n x e^{\left(-\frac{1}{2} \, n^{2} \log\left(a x + 1\right) - \frac{1}{2} \, n^{2} \log\left(-a x + 1\right) + \frac{1}{2} \, n \log\left(a x + 1\right) - \frac{1}{2} \, n \log\left(-a x + 1\right) - \log\left(a x + 1\right) - \log\left(-a x + 1\right)\right)} + e^{\left(-\frac{1}{2} \, n^{2} \log\left(a x + 1\right) - \frac{1}{2} \, n^{2} \log\left(-a x + 1\right) + \frac{1}{2} \, n \log\left(a x + 1\right) - \frac{1}{2} \, n \log\left(-a x + 1\right) - \log\left(a x + 1\right) - \log\left(-a x + 1\right)\right)}}{a^{3} n^{3} - a^{3} n}"," ",0,"-(a^3*n*x^3*e^(-1/2*n^2*log(a*x + 1) - 1/2*n^2*log(-a*x + 1) + 1/2*n*log(a*x + 1) - 1/2*n*log(-a*x + 1) - log(a*x + 1) - log(-a*x + 1)) - a^2*x^2*e^(-1/2*n^2*log(a*x + 1) - 1/2*n^2*log(-a*x + 1) + 1/2*n*log(a*x + 1) - 1/2*n*log(-a*x + 1) - log(a*x + 1) - log(-a*x + 1)) - a*n*x*e^(-1/2*n^2*log(a*x + 1) - 1/2*n^2*log(-a*x + 1) + 1/2*n*log(a*x + 1) - 1/2*n*log(-a*x + 1) - log(a*x + 1) - log(-a*x + 1)) + e^(-1/2*n^2*log(a*x + 1) - 1/2*n^2*log(-a*x + 1) + 1/2*n*log(a*x + 1) - 1/2*n*log(-a*x + 1) - log(a*x + 1) - log(-a*x + 1)))/(a^3*n^3 - a^3*n)","B",0
1006,0,0,0,0.000000," ","integrate((b*x+a)^(1+n)/x/((-b*x+a)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n + 1}}{{\left(-b x + a\right)}^{n} x}\,{d x}"," ",0,"integrate((b*x + a)^(n + 1)/((-b*x + a)^n*x), x)","F",0
1007,0,0,0,0.000000," ","integrate((b*x+a)^(1+n)/x^2/((-b*x+a)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n + 1}}{{\left(-b x + a\right)}^{n} x^{2}}\,{d x}"," ",0,"integrate((b*x + a)^(n + 1)/((-b*x + a)^n*x^2), x)","F",0
1008,0,0,0,0.000000," ","integrate((b*x+a)^(1+n)/x^3/((-b*x+a)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n + 1}}{{\left(-b x + a\right)}^{n} x^{3}}\,{d x}"," ",0,"integrate((b*x + a)^(n + 1)/((-b*x + a)^n*x^3), x)","F",0
1009,0,0,0,0.000000," ","integrate((b*x+a)^(1+n)/x^4/((-b*x+a)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n + 1}}{{\left(-b x + a\right)}^{n} x^{4}}\,{d x}"," ",0,"integrate((b*x + a)^(n + 1)/((-b*x + a)^n*x^4), x)","F",0
1010,0,0,0,0.000000," ","integrate((b*x+a)^(1+n)/x^5/((-b*x+a)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{n + 1}}{{\left(-b x + a\right)}^{n} x^{5}}\,{d x}"," ",0,"integrate((b*x + a)^(n + 1)/((-b*x + a)^n*x^5), x)","F",0
1011,1,208,0,1.222163," ","integrate((b*x+a)*(B*x+A)*(e*x+d)^4,x, algorithm=""giac"")","\frac{1}{7} \, B b x^{7} e^{4} + \frac{2}{3} \, B b d x^{6} e^{3} + \frac{6}{5} \, B b d^{2} x^{5} e^{2} + B b d^{3} x^{4} e + \frac{1}{3} \, B b d^{4} x^{3} + \frac{1}{6} \, B a x^{6} e^{4} + \frac{1}{6} \, A b x^{6} e^{4} + \frac{4}{5} \, B a d x^{5} e^{3} + \frac{4}{5} \, A b d x^{5} e^{3} + \frac{3}{2} \, B a d^{2} x^{4} e^{2} + \frac{3}{2} \, A b d^{2} x^{4} e^{2} + \frac{4}{3} \, B a d^{3} x^{3} e + \frac{4}{3} \, A b d^{3} x^{3} e + \frac{1}{2} \, B a d^{4} x^{2} + \frac{1}{2} \, A b d^{4} x^{2} + \frac{1}{5} \, A a x^{5} e^{4} + A a d x^{4} e^{3} + 2 \, A a d^{2} x^{3} e^{2} + 2 \, A a d^{3} x^{2} e + A a d^{4} x"," ",0,"1/7*B*b*x^7*e^4 + 2/3*B*b*d*x^6*e^3 + 6/5*B*b*d^2*x^5*e^2 + B*b*d^3*x^4*e + 1/3*B*b*d^4*x^3 + 1/6*B*a*x^6*e^4 + 1/6*A*b*x^6*e^4 + 4/5*B*a*d*x^5*e^3 + 4/5*A*b*d*x^5*e^3 + 3/2*B*a*d^2*x^4*e^2 + 3/2*A*b*d^2*x^4*e^2 + 4/3*B*a*d^3*x^3*e + 4/3*A*b*d^3*x^3*e + 1/2*B*a*d^4*x^2 + 1/2*A*b*d^4*x^2 + 1/5*A*a*x^5*e^4 + A*a*d*x^4*e^3 + 2*A*a*d^2*x^3*e^2 + 2*A*a*d^3*x^2*e + A*a*d^4*x","B",0
1012,1,159,0,1.205342," ","integrate((b*x+a)*(B*x+A)*(e*x+d)^3,x, algorithm=""giac"")","\frac{1}{6} \, B b x^{6} e^{3} + \frac{3}{5} \, B b d x^{5} e^{2} + \frac{3}{4} \, B b d^{2} x^{4} e + \frac{1}{3} \, B b d^{3} x^{3} + \frac{1}{5} \, B a x^{5} e^{3} + \frac{1}{5} \, A b x^{5} e^{3} + \frac{3}{4} \, B a d x^{4} e^{2} + \frac{3}{4} \, A b d x^{4} e^{2} + B a d^{2} x^{3} e + A b d^{2} x^{3} e + \frac{1}{2} \, B a d^{3} x^{2} + \frac{1}{2} \, A b d^{3} x^{2} + \frac{1}{4} \, A a x^{4} e^{3} + A a d x^{3} e^{2} + \frac{3}{2} \, A a d^{2} x^{2} e + A a d^{3} x"," ",0,"1/6*B*b*x^6*e^3 + 3/5*B*b*d*x^5*e^2 + 3/4*B*b*d^2*x^4*e + 1/3*B*b*d^3*x^3 + 1/5*B*a*x^5*e^3 + 1/5*A*b*x^5*e^3 + 3/4*B*a*d*x^4*e^2 + 3/4*A*b*d*x^4*e^2 + B*a*d^2*x^3*e + A*b*d^2*x^3*e + 1/2*B*a*d^3*x^2 + 1/2*A*b*d^3*x^2 + 1/4*A*a*x^4*e^3 + A*a*d*x^3*e^2 + 3/2*A*a*d^2*x^2*e + A*a*d^3*x","B",0
1013,1,113,0,1.127428," ","integrate((b*x+a)*(B*x+A)*(e*x+d)^2,x, algorithm=""giac"")","\frac{1}{5} \, B b x^{5} e^{2} + \frac{1}{2} \, B b d x^{4} e + \frac{1}{3} \, B b d^{2} x^{3} + \frac{1}{4} \, B a x^{4} e^{2} + \frac{1}{4} \, A b x^{4} e^{2} + \frac{2}{3} \, B a d x^{3} e + \frac{2}{3} \, A b d x^{3} e + \frac{1}{2} \, B a d^{2} x^{2} + \frac{1}{2} \, A b d^{2} x^{2} + \frac{1}{3} \, A a x^{3} e^{2} + A a d x^{2} e + A a d^{2} x"," ",0,"1/5*B*b*x^5*e^2 + 1/2*B*b*d*x^4*e + 1/3*B*b*d^2*x^3 + 1/4*B*a*x^4*e^2 + 1/4*A*b*x^4*e^2 + 2/3*B*a*d*x^3*e + 2/3*A*b*d*x^3*e + 1/2*B*a*d^2*x^2 + 1/2*A*b*d^2*x^2 + 1/3*A*a*x^3*e^2 + A*a*d*x^2*e + A*a*d^2*x","A",0
1014,1,66,0,1.125812," ","integrate((b*x+a)*(B*x+A)*(e*x+d),x, algorithm=""giac"")","\frac{1}{4} \, B b x^{4} e + \frac{1}{3} \, B b d x^{3} + \frac{1}{3} \, B a x^{3} e + \frac{1}{3} \, A b x^{3} e + \frac{1}{2} \, B a d x^{2} + \frac{1}{2} \, A b d x^{2} + \frac{1}{2} \, A a x^{2} e + A a d x"," ",0,"1/4*B*b*x^4*e + 1/3*B*b*d*x^3 + 1/3*B*a*x^3*e + 1/3*A*b*x^3*e + 1/2*B*a*d*x^2 + 1/2*A*b*d*x^2 + 1/2*A*a*x^2*e + A*a*d*x","A",0
1015,1,26,0,1.150886," ","integrate((b*x+a)*(B*x+A),x, algorithm=""giac"")","\frac{1}{3} \, B b x^{3} + \frac{1}{2} \, B a x^{2} + \frac{1}{2} \, A b x^{2} + A a x"," ",0,"1/3*B*b*x^3 + 1/2*B*a*x^2 + 1/2*A*b*x^2 + A*a*x","A",0
1016,1,71,0,1.181997," ","integrate((b*x+a)*(B*x+A)/(e*x+d),x, algorithm=""giac"")","{\left(B b d^{2} - B a d e - A b d e + A a e^{2}\right)} e^{\left(-3\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{2} \, {\left(B b x^{2} e - 2 \, B b d x + 2 \, B a x e + 2 \, A b x e\right)} e^{\left(-2\right)}"," ",0,"(B*b*d^2 - B*a*d*e - A*b*d*e + A*a*e^2)*e^(-3)*log(abs(x*e + d)) + 1/2*(B*b*x^2*e - 2*B*b*d*x + 2*B*a*x*e + 2*A*b*x*e)*e^(-2)","A",0
1017,1,116,0,1.187611," ","integrate((b*x+a)*(B*x+A)/(e*x+d)^2,x, algorithm=""giac"")","{\left(x e + d\right)} B b e^{\left(-3\right)} + {\left(2 \, B b d - B a e - A b e\right)} e^{\left(-3\right)} \log\left(\frac{{\left| x e + d \right|} e^{\left(-1\right)}}{{\left(x e + d\right)}^{2}}\right) - {\left(\frac{B b d^{2} e}{x e + d} - \frac{B a d e^{2}}{x e + d} - \frac{A b d e^{2}}{x e + d} + \frac{A a e^{3}}{x e + d}\right)} e^{\left(-4\right)}"," ",0,"(x*e + d)*B*b*e^(-3) + (2*B*b*d - B*a*e - A*b*e)*e^(-3)*log(abs(x*e + d)*e^(-1)/(x*e + d)^2) - (B*b*d^2*e/(x*e + d) - B*a*d*e^2/(x*e + d) - A*b*d*e^2/(x*e + d) + A*a*e^3/(x*e + d))*e^(-4)","A",0
1018,1,79,0,1.185460," ","integrate((b*x+a)*(B*x+A)/(e*x+d)^3,x, algorithm=""giac"")","B b e^{\left(-3\right)} \log\left({\left| x e + d \right|}\right) + \frac{{\left(2 \, {\left(2 \, B b d - B a e - A b e\right)} x + {\left(3 \, B b d^{2} - B a d e - A b d e - A a e^{2}\right)} e^{\left(-1\right)}\right)} e^{\left(-2\right)}}{2 \, {\left(x e + d\right)}^{2}}"," ",0,"B*b*e^(-3)*log(abs(x*e + d)) + 1/2*(2*(2*B*b*d - B*a*e - A*b*e)*x + (3*B*b*d^2 - B*a*d*e - A*b*d*e - A*a*e^2)*e^(-1))*e^(-2)/(x*e + d)^2","A",0
1019,1,69,0,1.177370," ","integrate((b*x+a)*(B*x+A)/(e*x+d)^4,x, algorithm=""giac"")","-\frac{{\left(6 \, B b x^{2} e^{2} + 6 \, B b d x e + 2 \, B b d^{2} + 3 \, B a x e^{2} + 3 \, A b x e^{2} + B a d e + A b d e + 2 \, A a e^{2}\right)} e^{\left(-3\right)}}{6 \, {\left(x e + d\right)}^{3}}"," ",0,"-1/6*(6*B*b*x^2*e^2 + 6*B*b*d*x*e + 2*B*b*d^2 + 3*B*a*x*e^2 + 3*A*b*x*e^2 + B*a*d*e + A*b*d*e + 2*A*a*e^2)*e^(-3)/(x*e + d)^3","A",0
1020,1,121,0,1.182917," ","integrate((b*x+a)*(B*x+A)/(e*x+d)^5,x, algorithm=""giac"")","-\frac{1}{12} \, {\left(\frac{6 \, B b e^{\left(-2\right)}}{{\left(x e + d\right)}^{2}} - \frac{8 \, B b d e^{\left(-2\right)}}{{\left(x e + d\right)}^{3}} + \frac{3 \, B b d^{2} e^{\left(-2\right)}}{{\left(x e + d\right)}^{4}} + \frac{4 \, B a e^{\left(-1\right)}}{{\left(x e + d\right)}^{3}} + \frac{4 \, A b e^{\left(-1\right)}}{{\left(x e + d\right)}^{3}} - \frac{3 \, B a d e^{\left(-1\right)}}{{\left(x e + d\right)}^{4}} - \frac{3 \, A b d e^{\left(-1\right)}}{{\left(x e + d\right)}^{4}} + \frac{3 \, A a}{{\left(x e + d\right)}^{4}}\right)} e^{\left(-1\right)}"," ",0,"-1/12*(6*B*b*e^(-2)/(x*e + d)^2 - 8*B*b*d*e^(-2)/(x*e + d)^3 + 3*B*b*d^2*e^(-2)/(x*e + d)^4 + 4*B*a*e^(-1)/(x*e + d)^3 + 4*A*b*e^(-1)/(x*e + d)^3 - 3*B*a*d*e^(-1)/(x*e + d)^4 - 3*A*b*d*e^(-1)/(x*e + d)^4 + 3*A*a/(x*e + d)^4)*e^(-1)","A",0
1021,1,71,0,1.210870," ","integrate((b*x+a)*(B*x+A)/(e*x+d)^6,x, algorithm=""giac"")","-\frac{{\left(20 \, B b x^{2} e^{2} + 10 \, B b d x e + 2 \, B b d^{2} + 15 \, B a x e^{2} + 15 \, A b x e^{2} + 3 \, B a d e + 3 \, A b d e + 12 \, A a e^{2}\right)} e^{\left(-3\right)}}{60 \, {\left(x e + d\right)}^{5}}"," ",0,"-1/60*(20*B*b*x^2*e^2 + 10*B*b*d*x*e + 2*B*b*d^2 + 15*B*a*x*e^2 + 15*A*b*x*e^2 + 3*B*a*d*e + 3*A*b*d*e + 12*A*a*e^2)*e^(-3)/(x*e + d)^5","A",0
1022,1,362,0,1.159701," ","integrate((b*x+a)^2*(B*x+A)*(e*x+d)^4,x, algorithm=""giac"")","\frac{1}{8} \, B b^{2} x^{8} e^{4} + \frac{4}{7} \, B b^{2} d x^{7} e^{3} + B b^{2} d^{2} x^{6} e^{2} + \frac{4}{5} \, B b^{2} d^{3} x^{5} e + \frac{1}{4} \, B b^{2} d^{4} x^{4} + \frac{2}{7} \, B a b x^{7} e^{4} + \frac{1}{7} \, A b^{2} x^{7} e^{4} + \frac{4}{3} \, B a b d x^{6} e^{3} + \frac{2}{3} \, A b^{2} d x^{6} e^{3} + \frac{12}{5} \, B a b d^{2} x^{5} e^{2} + \frac{6}{5} \, A b^{2} d^{2} x^{5} e^{2} + 2 \, B a b d^{3} x^{4} e + A b^{2} d^{3} x^{4} e + \frac{2}{3} \, B a b d^{4} x^{3} + \frac{1}{3} \, A b^{2} d^{4} x^{3} + \frac{1}{6} \, B a^{2} x^{6} e^{4} + \frac{1}{3} \, A a b x^{6} e^{4} + \frac{4}{5} \, B a^{2} d x^{5} e^{3} + \frac{8}{5} \, A a b d x^{5} e^{3} + \frac{3}{2} \, B a^{2} d^{2} x^{4} e^{2} + 3 \, A a b d^{2} x^{4} e^{2} + \frac{4}{3} \, B a^{2} d^{3} x^{3} e + \frac{8}{3} \, A a b d^{3} x^{3} e + \frac{1}{2} \, B a^{2} d^{4} x^{2} + A a b d^{4} x^{2} + \frac{1}{5} \, A a^{2} x^{5} e^{4} + A a^{2} d x^{4} e^{3} + 2 \, A a^{2} d^{2} x^{3} e^{2} + 2 \, A a^{2} d^{3} x^{2} e + A a^{2} d^{4} x"," ",0,"1/8*B*b^2*x^8*e^4 + 4/7*B*b^2*d*x^7*e^3 + B*b^2*d^2*x^6*e^2 + 4/5*B*b^2*d^3*x^5*e + 1/4*B*b^2*d^4*x^4 + 2/7*B*a*b*x^7*e^4 + 1/7*A*b^2*x^7*e^4 + 4/3*B*a*b*d*x^6*e^3 + 2/3*A*b^2*d*x^6*e^3 + 12/5*B*a*b*d^2*x^5*e^2 + 6/5*A*b^2*d^2*x^5*e^2 + 2*B*a*b*d^3*x^4*e + A*b^2*d^3*x^4*e + 2/3*B*a*b*d^4*x^3 + 1/3*A*b^2*d^4*x^3 + 1/6*B*a^2*x^6*e^4 + 1/3*A*a*b*x^6*e^4 + 4/5*B*a^2*d*x^5*e^3 + 8/5*A*a*b*d*x^5*e^3 + 3/2*B*a^2*d^2*x^4*e^2 + 3*A*a*b*d^2*x^4*e^2 + 4/3*B*a^2*d^3*x^3*e + 8/3*A*a*b*d^3*x^3*e + 1/2*B*a^2*d^4*x^2 + A*a*b*d^4*x^2 + 1/5*A*a^2*x^5*e^4 + A*a^2*d*x^4*e^3 + 2*A*a^2*d^2*x^3*e^2 + 2*A*a^2*d^3*x^2*e + A*a^2*d^4*x","B",0
1023,1,281,0,1.197821," ","integrate((b*x+a)^2*(B*x+A)*(e*x+d)^3,x, algorithm=""giac"")","\frac{1}{7} \, B b^{2} x^{7} e^{3} + \frac{1}{2} \, B b^{2} d x^{6} e^{2} + \frac{3}{5} \, B b^{2} d^{2} x^{5} e + \frac{1}{4} \, B b^{2} d^{3} x^{4} + \frac{1}{3} \, B a b x^{6} e^{3} + \frac{1}{6} \, A b^{2} x^{6} e^{3} + \frac{6}{5} \, B a b d x^{5} e^{2} + \frac{3}{5} \, A b^{2} d x^{5} e^{2} + \frac{3}{2} \, B a b d^{2} x^{4} e + \frac{3}{4} \, A b^{2} d^{2} x^{4} e + \frac{2}{3} \, B a b d^{3} x^{3} + \frac{1}{3} \, A b^{2} d^{3} x^{3} + \frac{1}{5} \, B a^{2} x^{5} e^{3} + \frac{2}{5} \, A a b x^{5} e^{3} + \frac{3}{4} \, B a^{2} d x^{4} e^{2} + \frac{3}{2} \, A a b d x^{4} e^{2} + B a^{2} d^{2} x^{3} e + 2 \, A a b d^{2} x^{3} e + \frac{1}{2} \, B a^{2} d^{3} x^{2} + A a b d^{3} x^{2} + \frac{1}{4} \, A a^{2} x^{4} e^{3} + A a^{2} d x^{3} e^{2} + \frac{3}{2} \, A a^{2} d^{2} x^{2} e + A a^{2} d^{3} x"," ",0,"1/7*B*b^2*x^7*e^3 + 1/2*B*b^2*d*x^6*e^2 + 3/5*B*b^2*d^2*x^5*e + 1/4*B*b^2*d^3*x^4 + 1/3*B*a*b*x^6*e^3 + 1/6*A*b^2*x^6*e^3 + 6/5*B*a*b*d*x^5*e^2 + 3/5*A*b^2*d*x^5*e^2 + 3/2*B*a*b*d^2*x^4*e + 3/4*A*b^2*d^2*x^4*e + 2/3*B*a*b*d^3*x^3 + 1/3*A*b^2*d^3*x^3 + 1/5*B*a^2*x^5*e^3 + 2/5*A*a*b*x^5*e^3 + 3/4*B*a^2*d*x^4*e^2 + 3/2*A*a*b*d*x^4*e^2 + B*a^2*d^2*x^3*e + 2*A*a*b*d^2*x^3*e + 1/2*B*a^2*d^3*x^2 + A*a*b*d^3*x^2 + 1/4*A*a^2*x^4*e^3 + A*a^2*d*x^3*e^2 + 3/2*A*a^2*d^2*x^2*e + A*a^2*d^3*x","B",0
1024,1,199,0,1.147752," ","integrate((b*x+a)^2*(B*x+A)*(e*x+d)^2,x, algorithm=""giac"")","\frac{1}{6} \, B b^{2} x^{6} e^{2} + \frac{2}{5} \, B b^{2} d x^{5} e + \frac{1}{4} \, B b^{2} d^{2} x^{4} + \frac{2}{5} \, B a b x^{5} e^{2} + \frac{1}{5} \, A b^{2} x^{5} e^{2} + B a b d x^{4} e + \frac{1}{2} \, A b^{2} d x^{4} e + \frac{2}{3} \, B a b d^{2} x^{3} + \frac{1}{3} \, A b^{2} d^{2} x^{3} + \frac{1}{4} \, B a^{2} x^{4} e^{2} + \frac{1}{2} \, A a b x^{4} e^{2} + \frac{2}{3} \, B a^{2} d x^{3} e + \frac{4}{3} \, A a b d x^{3} e + \frac{1}{2} \, B a^{2} d^{2} x^{2} + A a b d^{2} x^{2} + \frac{1}{3} \, A a^{2} x^{3} e^{2} + A a^{2} d x^{2} e + A a^{2} d^{2} x"," ",0,"1/6*B*b^2*x^6*e^2 + 2/5*B*b^2*d*x^5*e + 1/4*B*b^2*d^2*x^4 + 2/5*B*a*b*x^5*e^2 + 1/5*A*b^2*x^5*e^2 + B*a*b*d*x^4*e + 1/2*A*b^2*d*x^4*e + 2/3*B*a*b*d^2*x^3 + 1/3*A*b^2*d^2*x^3 + 1/4*B*a^2*x^4*e^2 + 1/2*A*a*b*x^4*e^2 + 2/3*B*a^2*d*x^3*e + 4/3*A*a*b*d*x^3*e + 1/2*B*a^2*d^2*x^2 + A*a*b*d^2*x^2 + 1/3*A*a^2*x^3*e^2 + A*a^2*d*x^2*e + A*a^2*d^2*x","A",0
1025,1,119,0,1.194722," ","integrate((b*x+a)^2*(B*x+A)*(e*x+d),x, algorithm=""giac"")","\frac{1}{5} \, B b^{2} x^{5} e + \frac{1}{4} \, B b^{2} d x^{4} + \frac{1}{2} \, B a b x^{4} e + \frac{1}{4} \, A b^{2} x^{4} e + \frac{2}{3} \, B a b d x^{3} + \frac{1}{3} \, A b^{2} d x^{3} + \frac{1}{3} \, B a^{2} x^{3} e + \frac{2}{3} \, A a b x^{3} e + \frac{1}{2} \, B a^{2} d x^{2} + A a b d x^{2} + \frac{1}{2} \, A a^{2} x^{2} e + A a^{2} d x"," ",0,"1/5*B*b^2*x^5*e + 1/4*B*b^2*d*x^4 + 1/2*B*a*b*x^4*e + 1/4*A*b^2*x^4*e + 2/3*B*a*b*d*x^3 + 1/3*A*b^2*d*x^3 + 1/3*B*a^2*x^3*e + 2/3*A*a*b*x^3*e + 1/2*B*a^2*d*x^2 + A*a*b*d*x^2 + 1/2*A*a^2*x^2*e + A*a^2*d*x","A",0
1026,1,49,0,1.150543," ","integrate((b*x+a)^2*(B*x+A),x, algorithm=""giac"")","\frac{1}{4} \, B b^{2} x^{4} + \frac{2}{3} \, B a b x^{3} + \frac{1}{3} \, A b^{2} x^{3} + \frac{1}{2} \, B a^{2} x^{2} + A a b x^{2} + A a^{2} x"," ",0,"1/4*B*b^2*x^4 + 2/3*B*a*b*x^3 + 1/3*A*b^2*x^3 + 1/2*B*a^2*x^2 + A*a*b*x^2 + A*a^2*x","A",0
1027,1,162,0,1.182273," ","integrate((b*x+a)^2*(B*x+A)/(e*x+d),x, algorithm=""giac"")","-{\left(B b^{2} d^{3} - 2 \, B a b d^{2} e - A b^{2} d^{2} e + B a^{2} d e^{2} + 2 \, A a b d e^{2} - A a^{2} e^{3}\right)} e^{\left(-4\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{6} \, {\left(2 \, B b^{2} x^{3} e^{2} - 3 \, B b^{2} d x^{2} e + 6 \, B b^{2} d^{2} x + 6 \, B a b x^{2} e^{2} + 3 \, A b^{2} x^{2} e^{2} - 12 \, B a b d x e - 6 \, A b^{2} d x e + 6 \, B a^{2} x e^{2} + 12 \, A a b x e^{2}\right)} e^{\left(-3\right)}"," ",0,"-(B*b^2*d^3 - 2*B*a*b*d^2*e - A*b^2*d^2*e + B*a^2*d*e^2 + 2*A*a*b*d*e^2 - A*a^2*e^3)*e^(-4)*log(abs(x*e + d)) + 1/6*(2*B*b^2*x^3*e^2 - 3*B*b^2*d*x^2*e + 6*B*b^2*d^2*x + 6*B*a*b*x^2*e^2 + 3*A*b^2*x^2*e^2 - 12*B*a*b*d*x*e - 6*A*b^2*d*x*e + 6*B*a^2*x*e^2 + 12*A*a*b*x*e^2)*e^(-3)","A",0
1028,1,227,0,1.220682," ","integrate((b*x+a)^2*(B*x+A)/(e*x+d)^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(B b^{2} - \frac{2 \, {\left(3 \, B b^{2} d e - 2 \, B a b e^{2} - A b^{2} e^{2}\right)} e^{\left(-1\right)}}{x e + d}\right)} {\left(x e + d\right)}^{2} e^{\left(-4\right)} - {\left(3 \, B b^{2} d^{2} - 4 \, B a b d e - 2 \, A b^{2} d e + B a^{2} e^{2} + 2 \, A a b e^{2}\right)} e^{\left(-4\right)} \log\left(\frac{{\left| x e + d \right|} e^{\left(-1\right)}}{{\left(x e + d\right)}^{2}}\right) + {\left(\frac{B b^{2} d^{3} e^{2}}{x e + d} - \frac{2 \, B a b d^{2} e^{3}}{x e + d} - \frac{A b^{2} d^{2} e^{3}}{x e + d} + \frac{B a^{2} d e^{4}}{x e + d} + \frac{2 \, A a b d e^{4}}{x e + d} - \frac{A a^{2} e^{5}}{x e + d}\right)} e^{\left(-6\right)}"," ",0,"1/2*(B*b^2 - 2*(3*B*b^2*d*e - 2*B*a*b*e^2 - A*b^2*e^2)*e^(-1)/(x*e + d))*(x*e + d)^2*e^(-4) - (3*B*b^2*d^2 - 4*B*a*b*d*e - 2*A*b^2*d*e + B*a^2*e^2 + 2*A*a*b*e^2)*e^(-4)*log(abs(x*e + d)*e^(-1)/(x*e + d)^2) + (B*b^2*d^3*e^2/(x*e + d) - 2*B*a*b*d^2*e^3/(x*e + d) - A*b^2*d^2*e^3/(x*e + d) + B*a^2*d*e^4/(x*e + d) + 2*A*a*b*d*e^4/(x*e + d) - A*a^2*e^5/(x*e + d))*e^(-6)","B",0
1029,1,156,0,1.166694," ","integrate((b*x+a)^2*(B*x+A)/(e*x+d)^3,x, algorithm=""giac"")","B b^{2} x e^{\left(-3\right)} - {\left(3 \, B b^{2} d - 2 \, B a b e - A b^{2} e\right)} e^{\left(-4\right)} \log\left({\left| x e + d \right|}\right) - \frac{{\left(5 \, B b^{2} d^{3} - 6 \, B a b d^{2} e - 3 \, A b^{2} d^{2} e + B a^{2} d e^{2} + 2 \, A a b d e^{2} + A a^{2} e^{3} + 2 \, {\left(3 \, B b^{2} d^{2} e - 4 \, B a b d e^{2} - 2 \, A b^{2} d e^{2} + B a^{2} e^{3} + 2 \, A a b e^{3}\right)} x\right)} e^{\left(-4\right)}}{2 \, {\left(x e + d\right)}^{2}}"," ",0,"B*b^2*x*e^(-3) - (3*B*b^2*d - 2*B*a*b*e - A*b^2*e)*e^(-4)*log(abs(x*e + d)) - 1/2*(5*B*b^2*d^3 - 6*B*a*b*d^2*e - 3*A*b^2*d^2*e + B*a^2*d*e^2 + 2*A*a*b*d*e^2 + A*a^2*e^3 + 2*(3*B*b^2*d^2*e - 4*B*a*b*d*e^2 - 2*A*b^2*d*e^2 + B*a^2*e^3 + 2*A*a*b*e^3)*x)*e^(-4)/(x*e + d)^2","A",0
1030,1,163,0,1.192393," ","integrate((b*x+a)^2*(B*x+A)/(e*x+d)^4,x, algorithm=""giac"")","B b^{2} e^{\left(-4\right)} \log\left({\left| x e + d \right|}\right) + \frac{{\left(6 \, {\left(3 \, B b^{2} d e - 2 \, B a b e^{2} - A b^{2} e^{2}\right)} x^{2} + 3 \, {\left(9 \, B b^{2} d^{2} - 4 \, B a b d e - 2 \, A b^{2} d e - B a^{2} e^{2} - 2 \, A a b e^{2}\right)} x + {\left(11 \, B b^{2} d^{3} - 4 \, B a b d^{2} e - 2 \, A b^{2} d^{2} e - B a^{2} d e^{2} - 2 \, A a b d e^{2} - 2 \, A a^{2} e^{3}\right)} e^{\left(-1\right)}\right)} e^{\left(-3\right)}}{6 \, {\left(x e + d\right)}^{3}}"," ",0,"B*b^2*e^(-4)*log(abs(x*e + d)) + 1/6*(6*(3*B*b^2*d*e - 2*B*a*b*e^2 - A*b^2*e^2)*x^2 + 3*(9*B*b^2*d^2 - 4*B*a*b*d*e - 2*A*b^2*d*e - B*a^2*e^2 - 2*A*a*b*e^2)*x + (11*B*b^2*d^3 - 4*B*a*b*d^2*e - 2*A*b^2*d^2*e - B*a^2*d*e^2 - 2*A*a*b*d*e^2 - 2*A*a^2*e^3)*e^(-1))*e^(-3)/(x*e + d)^3","A",0
1031,1,245,0,1.206887," ","integrate((b*x+a)^2*(B*x+A)/(e*x+d)^5,x, algorithm=""giac"")","-\frac{1}{12} \, {\left(\frac{12 \, B b^{2} e^{\left(-1\right)}}{x e + d} - \frac{18 \, B b^{2} d e^{\left(-1\right)}}{{\left(x e + d\right)}^{2}} + \frac{12 \, B b^{2} d^{2} e^{\left(-1\right)}}{{\left(x e + d\right)}^{3}} - \frac{3 \, B b^{2} d^{3} e^{\left(-1\right)}}{{\left(x e + d\right)}^{4}} + \frac{12 \, B a b}{{\left(x e + d\right)}^{2}} + \frac{6 \, A b^{2}}{{\left(x e + d\right)}^{2}} - \frac{16 \, B a b d}{{\left(x e + d\right)}^{3}} - \frac{8 \, A b^{2} d}{{\left(x e + d\right)}^{3}} + \frac{6 \, B a b d^{2}}{{\left(x e + d\right)}^{4}} + \frac{3 \, A b^{2} d^{2}}{{\left(x e + d\right)}^{4}} + \frac{4 \, B a^{2} e}{{\left(x e + d\right)}^{3}} + \frac{8 \, A a b e}{{\left(x e + d\right)}^{3}} - \frac{3 \, B a^{2} d e}{{\left(x e + d\right)}^{4}} - \frac{6 \, A a b d e}{{\left(x e + d\right)}^{4}} + \frac{3 \, A a^{2} e^{2}}{{\left(x e + d\right)}^{4}}\right)} e^{\left(-3\right)}"," ",0,"-1/12*(12*B*b^2*e^(-1)/(x*e + d) - 18*B*b^2*d*e^(-1)/(x*e + d)^2 + 12*B*b^2*d^2*e^(-1)/(x*e + d)^3 - 3*B*b^2*d^3*e^(-1)/(x*e + d)^4 + 12*B*a*b/(x*e + d)^2 + 6*A*b^2/(x*e + d)^2 - 16*B*a*b*d/(x*e + d)^3 - 8*A*b^2*d/(x*e + d)^3 + 6*B*a*b*d^2/(x*e + d)^4 + 3*A*b^2*d^2/(x*e + d)^4 + 4*B*a^2*e/(x*e + d)^3 + 8*A*a*b*e/(x*e + d)^3 - 3*B*a^2*d*e/(x*e + d)^4 - 6*A*a*b*d*e/(x*e + d)^4 + 3*A*a^2*e^2/(x*e + d)^4)*e^(-3)","B",0
1032,1,160,0,1.199128," ","integrate((b*x+a)^2*(B*x+A)/(e*x+d)^6,x, algorithm=""giac"")","-\frac{{\left(30 \, B b^{2} x^{3} e^{3} + 30 \, B b^{2} d x^{2} e^{2} + 15 \, B b^{2} d^{2} x e + 3 \, B b^{2} d^{3} + 40 \, B a b x^{2} e^{3} + 20 \, A b^{2} x^{2} e^{3} + 20 \, B a b d x e^{2} + 10 \, A b^{2} d x e^{2} + 4 \, B a b d^{2} e + 2 \, A b^{2} d^{2} e + 15 \, B a^{2} x e^{3} + 30 \, A a b x e^{3} + 3 \, B a^{2} d e^{2} + 6 \, A a b d e^{2} + 12 \, A a^{2} e^{3}\right)} e^{\left(-4\right)}}{60 \, {\left(x e + d\right)}^{5}}"," ",0,"-1/60*(30*B*b^2*x^3*e^3 + 30*B*b^2*d*x^2*e^2 + 15*B*b^2*d^2*x*e + 3*B*b^2*d^3 + 40*B*a*b*x^2*e^3 + 20*A*b^2*x^2*e^3 + 20*B*a*b*d*x*e^2 + 10*A*b^2*d*x*e^2 + 4*B*a*b*d^2*e + 2*A*b^2*d^2*e + 15*B*a^2*x*e^3 + 30*A*a*b*x*e^3 + 3*B*a^2*d*e^2 + 6*A*a*b*d*e^2 + 12*A*a^2*e^3)*e^(-4)/(x*e + d)^5","A",0
1033,1,158,0,1.147439," ","integrate((b*x+a)^2*(B*x+A)/(e*x+d)^7,x, algorithm=""giac"")","-\frac{{\left(20 \, B b^{2} x^{3} e^{3} + 15 \, B b^{2} d x^{2} e^{2} + 6 \, B b^{2} d^{2} x e + B b^{2} d^{3} + 30 \, B a b x^{2} e^{3} + 15 \, A b^{2} x^{2} e^{3} + 12 \, B a b d x e^{2} + 6 \, A b^{2} d x e^{2} + 2 \, B a b d^{2} e + A b^{2} d^{2} e + 12 \, B a^{2} x e^{3} + 24 \, A a b x e^{3} + 2 \, B a^{2} d e^{2} + 4 \, A a b d e^{2} + 10 \, A a^{2} e^{3}\right)} e^{\left(-4\right)}}{60 \, {\left(x e + d\right)}^{6}}"," ",0,"-1/60*(20*B*b^2*x^3*e^3 + 15*B*b^2*d*x^2*e^2 + 6*B*b^2*d^2*x*e + B*b^2*d^3 + 30*B*a*b*x^2*e^3 + 15*A*b^2*x^2*e^3 + 12*B*a*b*d*x*e^2 + 6*A*b^2*d*x*e^2 + 2*B*a*b*d^2*e + A*b^2*d^2*e + 12*B*a^2*x*e^3 + 24*A*a*b*x*e^3 + 2*B*a^2*d*e^2 + 4*A*a*b*d*e^2 + 10*A*a^2*e^3)*e^(-4)/(x*e + d)^6","A",0
1034,1,160,0,1.169775," ","integrate((b*x+a)^2*(B*x+A)/(e*x+d)^8,x, algorithm=""giac"")","-\frac{{\left(105 \, B b^{2} x^{3} e^{3} + 63 \, B b^{2} d x^{2} e^{2} + 21 \, B b^{2} d^{2} x e + 3 \, B b^{2} d^{3} + 168 \, B a b x^{2} e^{3} + 84 \, A b^{2} x^{2} e^{3} + 56 \, B a b d x e^{2} + 28 \, A b^{2} d x e^{2} + 8 \, B a b d^{2} e + 4 \, A b^{2} d^{2} e + 70 \, B a^{2} x e^{3} + 140 \, A a b x e^{3} + 10 \, B a^{2} d e^{2} + 20 \, A a b d e^{2} + 60 \, A a^{2} e^{3}\right)} e^{\left(-4\right)}}{420 \, {\left(x e + d\right)}^{7}}"," ",0,"-1/420*(105*B*b^2*x^3*e^3 + 63*B*b^2*d*x^2*e^2 + 21*B*b^2*d^2*x*e + 3*B*b^2*d^3 + 168*B*a*b*x^2*e^3 + 84*A*b^2*x^2*e^3 + 56*B*a*b*d*x*e^2 + 28*A*b^2*d*x*e^2 + 8*B*a*b*d^2*e + 4*A*b^2*d^2*e + 70*B*a^2*x*e^3 + 140*A*a*b*x*e^3 + 10*B*a^2*d*e^2 + 20*A*a*b*d*e^2 + 60*A*a^2*e^3)*e^(-4)/(x*e + d)^7","A",0
1035,1,634,0,1.331656," ","integrate((b*x+a)^3*(B*x+A)*(e*x+d)^5,x, algorithm=""giac"")","\frac{1}{10} \, B b^{3} x^{10} e^{5} + \frac{5}{9} \, B b^{3} d x^{9} e^{4} + \frac{5}{4} \, B b^{3} d^{2} x^{8} e^{3} + \frac{10}{7} \, B b^{3} d^{3} x^{7} e^{2} + \frac{5}{6} \, B b^{3} d^{4} x^{6} e + \frac{1}{5} \, B b^{3} d^{5} x^{5} + \frac{1}{3} \, B a b^{2} x^{9} e^{5} + \frac{1}{9} \, A b^{3} x^{9} e^{5} + \frac{15}{8} \, B a b^{2} d x^{8} e^{4} + \frac{5}{8} \, A b^{3} d x^{8} e^{4} + \frac{30}{7} \, B a b^{2} d^{2} x^{7} e^{3} + \frac{10}{7} \, A b^{3} d^{2} x^{7} e^{3} + 5 \, B a b^{2} d^{3} x^{6} e^{2} + \frac{5}{3} \, A b^{3} d^{3} x^{6} e^{2} + 3 \, B a b^{2} d^{4} x^{5} e + A b^{3} d^{4} x^{5} e + \frac{3}{4} \, B a b^{2} d^{5} x^{4} + \frac{1}{4} \, A b^{3} d^{5} x^{4} + \frac{3}{8} \, B a^{2} b x^{8} e^{5} + \frac{3}{8} \, A a b^{2} x^{8} e^{5} + \frac{15}{7} \, B a^{2} b d x^{7} e^{4} + \frac{15}{7} \, A a b^{2} d x^{7} e^{4} + 5 \, B a^{2} b d^{2} x^{6} e^{3} + 5 \, A a b^{2} d^{2} x^{6} e^{3} + 6 \, B a^{2} b d^{3} x^{5} e^{2} + 6 \, A a b^{2} d^{3} x^{5} e^{2} + \frac{15}{4} \, B a^{2} b d^{4} x^{4} e + \frac{15}{4} \, A a b^{2} d^{4} x^{4} e + B a^{2} b d^{5} x^{3} + A a b^{2} d^{5} x^{3} + \frac{1}{7} \, B a^{3} x^{7} e^{5} + \frac{3}{7} \, A a^{2} b x^{7} e^{5} + \frac{5}{6} \, B a^{3} d x^{6} e^{4} + \frac{5}{2} \, A a^{2} b d x^{6} e^{4} + 2 \, B a^{3} d^{2} x^{5} e^{3} + 6 \, A a^{2} b d^{2} x^{5} e^{3} + \frac{5}{2} \, B a^{3} d^{3} x^{4} e^{2} + \frac{15}{2} \, A a^{2} b d^{3} x^{4} e^{2} + \frac{5}{3} \, B a^{3} d^{4} x^{3} e + 5 \, A a^{2} b d^{4} x^{3} e + \frac{1}{2} \, B a^{3} d^{5} x^{2} + \frac{3}{2} \, A a^{2} b d^{5} x^{2} + \frac{1}{6} \, A a^{3} x^{6} e^{5} + A a^{3} d x^{5} e^{4} + \frac{5}{2} \, A a^{3} d^{2} x^{4} e^{3} + \frac{10}{3} \, A a^{3} d^{3} x^{3} e^{2} + \frac{5}{2} \, A a^{3} d^{4} x^{2} e + A a^{3} d^{5} x"," ",0,"1/10*B*b^3*x^10*e^5 + 5/9*B*b^3*d*x^9*e^4 + 5/4*B*b^3*d^2*x^8*e^3 + 10/7*B*b^3*d^3*x^7*e^2 + 5/6*B*b^3*d^4*x^6*e + 1/5*B*b^3*d^5*x^5 + 1/3*B*a*b^2*x^9*e^5 + 1/9*A*b^3*x^9*e^5 + 15/8*B*a*b^2*d*x^8*e^4 + 5/8*A*b^3*d*x^8*e^4 + 30/7*B*a*b^2*d^2*x^7*e^3 + 10/7*A*b^3*d^2*x^7*e^3 + 5*B*a*b^2*d^3*x^6*e^2 + 5/3*A*b^3*d^3*x^6*e^2 + 3*B*a*b^2*d^4*x^5*e + A*b^3*d^4*x^5*e + 3/4*B*a*b^2*d^5*x^4 + 1/4*A*b^3*d^5*x^4 + 3/8*B*a^2*b*x^8*e^5 + 3/8*A*a*b^2*x^8*e^5 + 15/7*B*a^2*b*d*x^7*e^4 + 15/7*A*a*b^2*d*x^7*e^4 + 5*B*a^2*b*d^2*x^6*e^3 + 5*A*a*b^2*d^2*x^6*e^3 + 6*B*a^2*b*d^3*x^5*e^2 + 6*A*a*b^2*d^3*x^5*e^2 + 15/4*B*a^2*b*d^4*x^4*e + 15/4*A*a*b^2*d^4*x^4*e + B*a^2*b*d^5*x^3 + A*a*b^2*d^5*x^3 + 1/7*B*a^3*x^7*e^5 + 3/7*A*a^2*b*x^7*e^5 + 5/6*B*a^3*d*x^6*e^4 + 5/2*A*a^2*b*d*x^6*e^4 + 2*B*a^3*d^2*x^5*e^3 + 6*A*a^2*b*d^2*x^5*e^3 + 5/2*B*a^3*d^3*x^4*e^2 + 15/2*A*a^2*b*d^3*x^4*e^2 + 5/3*B*a^3*d^4*x^3*e + 5*A*a^2*b*d^4*x^3*e + 1/2*B*a^3*d^5*x^2 + 3/2*A*a^2*b*d^5*x^2 + 1/6*A*a^3*x^6*e^5 + A*a^3*d*x^5*e^4 + 5/2*A*a^3*d^2*x^4*e^3 + 10/3*A*a^3*d^3*x^3*e^2 + 5/2*A*a^3*d^4*x^2*e + A*a^3*d^5*x","B",0
1036,1,518,0,1.203105," ","integrate((b*x+a)^3*(B*x+A)*(e*x+d)^4,x, algorithm=""giac"")","\frac{1}{9} \, B b^{3} x^{9} e^{4} + \frac{1}{2} \, B b^{3} d x^{8} e^{3} + \frac{6}{7} \, B b^{3} d^{2} x^{7} e^{2} + \frac{2}{3} \, B b^{3} d^{3} x^{6} e + \frac{1}{5} \, B b^{3} d^{4} x^{5} + \frac{3}{8} \, B a b^{2} x^{8} e^{4} + \frac{1}{8} \, A b^{3} x^{8} e^{4} + \frac{12}{7} \, B a b^{2} d x^{7} e^{3} + \frac{4}{7} \, A b^{3} d x^{7} e^{3} + 3 \, B a b^{2} d^{2} x^{6} e^{2} + A b^{3} d^{2} x^{6} e^{2} + \frac{12}{5} \, B a b^{2} d^{3} x^{5} e + \frac{4}{5} \, A b^{3} d^{3} x^{5} e + \frac{3}{4} \, B a b^{2} d^{4} x^{4} + \frac{1}{4} \, A b^{3} d^{4} x^{4} + \frac{3}{7} \, B a^{2} b x^{7} e^{4} + \frac{3}{7} \, A a b^{2} x^{7} e^{4} + 2 \, B a^{2} b d x^{6} e^{3} + 2 \, A a b^{2} d x^{6} e^{3} + \frac{18}{5} \, B a^{2} b d^{2} x^{5} e^{2} + \frac{18}{5} \, A a b^{2} d^{2} x^{5} e^{2} + 3 \, B a^{2} b d^{3} x^{4} e + 3 \, A a b^{2} d^{3} x^{4} e + B a^{2} b d^{4} x^{3} + A a b^{2} d^{4} x^{3} + \frac{1}{6} \, B a^{3} x^{6} e^{4} + \frac{1}{2} \, A a^{2} b x^{6} e^{4} + \frac{4}{5} \, B a^{3} d x^{5} e^{3} + \frac{12}{5} \, A a^{2} b d x^{5} e^{3} + \frac{3}{2} \, B a^{3} d^{2} x^{4} e^{2} + \frac{9}{2} \, A a^{2} b d^{2} x^{4} e^{2} + \frac{4}{3} \, B a^{3} d^{3} x^{3} e + 4 \, A a^{2} b d^{3} x^{3} e + \frac{1}{2} \, B a^{3} d^{4} x^{2} + \frac{3}{2} \, A a^{2} b d^{4} x^{2} + \frac{1}{5} \, A a^{3} x^{5} e^{4} + A a^{3} d x^{4} e^{3} + 2 \, A a^{3} d^{2} x^{3} e^{2} + 2 \, A a^{3} d^{3} x^{2} e + A a^{3} d^{4} x"," ",0,"1/9*B*b^3*x^9*e^4 + 1/2*B*b^3*d*x^8*e^3 + 6/7*B*b^3*d^2*x^7*e^2 + 2/3*B*b^3*d^3*x^6*e + 1/5*B*b^3*d^4*x^5 + 3/8*B*a*b^2*x^8*e^4 + 1/8*A*b^3*x^8*e^4 + 12/7*B*a*b^2*d*x^7*e^3 + 4/7*A*b^3*d*x^7*e^3 + 3*B*a*b^2*d^2*x^6*e^2 + A*b^3*d^2*x^6*e^2 + 12/5*B*a*b^2*d^3*x^5*e + 4/5*A*b^3*d^3*x^5*e + 3/4*B*a*b^2*d^4*x^4 + 1/4*A*b^3*d^4*x^4 + 3/7*B*a^2*b*x^7*e^4 + 3/7*A*a*b^2*x^7*e^4 + 2*B*a^2*b*d*x^6*e^3 + 2*A*a*b^2*d*x^6*e^3 + 18/5*B*a^2*b*d^2*x^5*e^2 + 18/5*A*a*b^2*d^2*x^5*e^2 + 3*B*a^2*b*d^3*x^4*e + 3*A*a*b^2*d^3*x^4*e + B*a^2*b*d^4*x^3 + A*a*b^2*d^4*x^3 + 1/6*B*a^3*x^6*e^4 + 1/2*A*a^2*b*x^6*e^4 + 4/5*B*a^3*d*x^5*e^3 + 12/5*A*a^2*b*d*x^5*e^3 + 3/2*B*a^3*d^2*x^4*e^2 + 9/2*A*a^2*b*d^2*x^4*e^2 + 4/3*B*a^3*d^3*x^3*e + 4*A*a^2*b*d^3*x^3*e + 1/2*B*a^3*d^4*x^2 + 3/2*A*a^2*b*d^4*x^2 + 1/5*A*a^3*x^5*e^4 + A*a^3*d*x^4*e^3 + 2*A*a^3*d^2*x^3*e^2 + 2*A*a^3*d^3*x^2*e + A*a^3*d^4*x","B",0
1037,1,402,0,1.162613," ","integrate((b*x+a)^3*(B*x+A)*(e*x+d)^3,x, algorithm=""giac"")","\frac{1}{8} \, B b^{3} x^{8} e^{3} + \frac{3}{7} \, B b^{3} d x^{7} e^{2} + \frac{1}{2} \, B b^{3} d^{2} x^{6} e + \frac{1}{5} \, B b^{3} d^{3} x^{5} + \frac{3}{7} \, B a b^{2} x^{7} e^{3} + \frac{1}{7} \, A b^{3} x^{7} e^{3} + \frac{3}{2} \, B a b^{2} d x^{6} e^{2} + \frac{1}{2} \, A b^{3} d x^{6} e^{2} + \frac{9}{5} \, B a b^{2} d^{2} x^{5} e + \frac{3}{5} \, A b^{3} d^{2} x^{5} e + \frac{3}{4} \, B a b^{2} d^{3} x^{4} + \frac{1}{4} \, A b^{3} d^{3} x^{4} + \frac{1}{2} \, B a^{2} b x^{6} e^{3} + \frac{1}{2} \, A a b^{2} x^{6} e^{3} + \frac{9}{5} \, B a^{2} b d x^{5} e^{2} + \frac{9}{5} \, A a b^{2} d x^{5} e^{2} + \frac{9}{4} \, B a^{2} b d^{2} x^{4} e + \frac{9}{4} \, A a b^{2} d^{2} x^{4} e + B a^{2} b d^{3} x^{3} + A a b^{2} d^{3} x^{3} + \frac{1}{5} \, B a^{3} x^{5} e^{3} + \frac{3}{5} \, A a^{2} b x^{5} e^{3} + \frac{3}{4} \, B a^{3} d x^{4} e^{2} + \frac{9}{4} \, A a^{2} b d x^{4} e^{2} + B a^{3} d^{2} x^{3} e + 3 \, A a^{2} b d^{2} x^{3} e + \frac{1}{2} \, B a^{3} d^{3} x^{2} + \frac{3}{2} \, A a^{2} b d^{3} x^{2} + \frac{1}{4} \, A a^{3} x^{4} e^{3} + A a^{3} d x^{3} e^{2} + \frac{3}{2} \, A a^{3} d^{2} x^{2} e + A a^{3} d^{3} x"," ",0,"1/8*B*b^3*x^8*e^3 + 3/7*B*b^3*d*x^7*e^2 + 1/2*B*b^3*d^2*x^6*e + 1/5*B*b^3*d^3*x^5 + 3/7*B*a*b^2*x^7*e^3 + 1/7*A*b^3*x^7*e^3 + 3/2*B*a*b^2*d*x^6*e^2 + 1/2*A*b^3*d*x^6*e^2 + 9/5*B*a*b^2*d^2*x^5*e + 3/5*A*b^3*d^2*x^5*e + 3/4*B*a*b^2*d^3*x^4 + 1/4*A*b^3*d^3*x^4 + 1/2*B*a^2*b*x^6*e^3 + 1/2*A*a*b^2*x^6*e^3 + 9/5*B*a^2*b*d*x^5*e^2 + 9/5*A*a*b^2*d*x^5*e^2 + 9/4*B*a^2*b*d^2*x^4*e + 9/4*A*a*b^2*d^2*x^4*e + B*a^2*b*d^3*x^3 + A*a*b^2*d^3*x^3 + 1/5*B*a^3*x^5*e^3 + 3/5*A*a^2*b*x^5*e^3 + 3/4*B*a^3*d*x^4*e^2 + 9/4*A*a^2*b*d*x^4*e^2 + B*a^3*d^2*x^3*e + 3*A*a^2*b*d^2*x^3*e + 1/2*B*a^3*d^3*x^2 + 3/2*A*a^2*b*d^3*x^2 + 1/4*A*a^3*x^4*e^3 + A*a^3*d*x^3*e^2 + 3/2*A*a^3*d^2*x^2*e + A*a^3*d^3*x","B",0
1038,1,287,0,1.257004," ","integrate((b*x+a)^3*(B*x+A)*(e*x+d)^2,x, algorithm=""giac"")","\frac{1}{7} \, B b^{3} x^{7} e^{2} + \frac{1}{3} \, B b^{3} d x^{6} e + \frac{1}{5} \, B b^{3} d^{2} x^{5} + \frac{1}{2} \, B a b^{2} x^{6} e^{2} + \frac{1}{6} \, A b^{3} x^{6} e^{2} + \frac{6}{5} \, B a b^{2} d x^{5} e + \frac{2}{5} \, A b^{3} d x^{5} e + \frac{3}{4} \, B a b^{2} d^{2} x^{4} + \frac{1}{4} \, A b^{3} d^{2} x^{4} + \frac{3}{5} \, B a^{2} b x^{5} e^{2} + \frac{3}{5} \, A a b^{2} x^{5} e^{2} + \frac{3}{2} \, B a^{2} b d x^{4} e + \frac{3}{2} \, A a b^{2} d x^{4} e + B a^{2} b d^{2} x^{3} + A a b^{2} d^{2} x^{3} + \frac{1}{4} \, B a^{3} x^{4} e^{2} + \frac{3}{4} \, A a^{2} b x^{4} e^{2} + \frac{2}{3} \, B a^{3} d x^{3} e + 2 \, A a^{2} b d x^{3} e + \frac{1}{2} \, B a^{3} d^{2} x^{2} + \frac{3}{2} \, A a^{2} b d^{2} x^{2} + \frac{1}{3} \, A a^{3} x^{3} e^{2} + A a^{3} d x^{2} e + A a^{3} d^{2} x"," ",0,"1/7*B*b^3*x^7*e^2 + 1/3*B*b^3*d*x^6*e + 1/5*B*b^3*d^2*x^5 + 1/2*B*a*b^2*x^6*e^2 + 1/6*A*b^3*x^6*e^2 + 6/5*B*a*b^2*d*x^5*e + 2/5*A*b^3*d*x^5*e + 3/4*B*a*b^2*d^2*x^4 + 1/4*A*b^3*d^2*x^4 + 3/5*B*a^2*b*x^5*e^2 + 3/5*A*a*b^2*x^5*e^2 + 3/2*B*a^2*b*d*x^4*e + 3/2*A*a*b^2*d*x^4*e + B*a^2*b*d^2*x^3 + A*a*b^2*d^2*x^3 + 1/4*B*a^3*x^4*e^2 + 3/4*A*a^2*b*x^4*e^2 + 2/3*B*a^3*d*x^3*e + 2*A*a^2*b*d*x^3*e + 1/2*B*a^3*d^2*x^2 + 3/2*A*a^2*b*d^2*x^2 + 1/3*A*a^3*x^3*e^2 + A*a^3*d*x^2*e + A*a^3*d^2*x","B",0
1039,1,171,0,1.240645," ","integrate((b*x+a)^3*(B*x+A)*(e*x+d),x, algorithm=""giac"")","\frac{1}{6} \, B b^{3} x^{6} e + \frac{1}{5} \, B b^{3} d x^{5} + \frac{3}{5} \, B a b^{2} x^{5} e + \frac{1}{5} \, A b^{3} x^{5} e + \frac{3}{4} \, B a b^{2} d x^{4} + \frac{1}{4} \, A b^{3} d x^{4} + \frac{3}{4} \, B a^{2} b x^{4} e + \frac{3}{4} \, A a b^{2} x^{4} e + B a^{2} b d x^{3} + A a b^{2} d x^{3} + \frac{1}{3} \, B a^{3} x^{3} e + A a^{2} b x^{3} e + \frac{1}{2} \, B a^{3} d x^{2} + \frac{3}{2} \, A a^{2} b d x^{2} + \frac{1}{2} \, A a^{3} x^{2} e + A a^{3} d x"," ",0,"1/6*B*b^3*x^6*e + 1/5*B*b^3*d*x^5 + 3/5*B*a*b^2*x^5*e + 1/5*A*b^3*x^5*e + 3/4*B*a*b^2*d*x^4 + 1/4*A*b^3*d*x^4 + 3/4*B*a^2*b*x^4*e + 3/4*A*a*b^2*x^4*e + B*a^2*b*d*x^3 + A*a*b^2*d*x^3 + 1/3*B*a^3*x^3*e + A*a^2*b*x^3*e + 1/2*B*a^3*d*x^2 + 3/2*A*a^2*b*d*x^2 + 1/2*A*a^3*x^2*e + A*a^3*d*x","B",0
1040,1,72,0,1.211498," ","integrate((b*x+a)^3*(B*x+A),x, algorithm=""giac"")","\frac{1}{5} \, B b^{3} x^{5} + \frac{3}{4} \, B a b^{2} x^{4} + \frac{1}{4} \, A b^{3} x^{4} + B a^{2} b x^{3} + A a b^{2} x^{3} + \frac{1}{2} \, B a^{3} x^{2} + \frac{3}{2} \, A a^{2} b x^{2} + A a^{3} x"," ",0,"1/5*B*b^3*x^5 + 3/4*B*a*b^2*x^4 + 1/4*A*b^3*x^4 + B*a^2*b*x^3 + A*a*b^2*x^3 + 1/2*B*a^3*x^2 + 3/2*A*a^2*b*x^2 + A*a^3*x","B",0
1041,1,284,0,1.332455," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d),x, algorithm=""giac"")","{\left(B b^{3} d^{4} - 3 \, B a b^{2} d^{3} e - A b^{3} d^{3} e + 3 \, B a^{2} b d^{2} e^{2} + 3 \, A a b^{2} d^{2} e^{2} - B a^{3} d e^{3} - 3 \, A a^{2} b d e^{3} + A a^{3} e^{4}\right)} e^{\left(-5\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{12} \, {\left(3 \, B b^{3} x^{4} e^{3} - 4 \, B b^{3} d x^{3} e^{2} + 6 \, B b^{3} d^{2} x^{2} e - 12 \, B b^{3} d^{3} x + 12 \, B a b^{2} x^{3} e^{3} + 4 \, A b^{3} x^{3} e^{3} - 18 \, B a b^{2} d x^{2} e^{2} - 6 \, A b^{3} d x^{2} e^{2} + 36 \, B a b^{2} d^{2} x e + 12 \, A b^{3} d^{2} x e + 18 \, B a^{2} b x^{2} e^{3} + 18 \, A a b^{2} x^{2} e^{3} - 36 \, B a^{2} b d x e^{2} - 36 \, A a b^{2} d x e^{2} + 12 \, B a^{3} x e^{3} + 36 \, A a^{2} b x e^{3}\right)} e^{\left(-4\right)}"," ",0,"(B*b^3*d^4 - 3*B*a*b^2*d^3*e - A*b^3*d^3*e + 3*B*a^2*b*d^2*e^2 + 3*A*a*b^2*d^2*e^2 - B*a^3*d*e^3 - 3*A*a^2*b*d*e^3 + A*a^3*e^4)*e^(-5)*log(abs(x*e + d)) + 1/12*(3*B*b^3*x^4*e^3 - 4*B*b^3*d*x^3*e^2 + 6*B*b^3*d^2*x^2*e - 12*B*b^3*d^3*x + 12*B*a*b^2*x^3*e^3 + 4*A*b^3*x^3*e^3 - 18*B*a*b^2*d*x^2*e^2 - 6*A*b^3*d*x^2*e^2 + 36*B*a*b^2*d^2*x*e + 12*A*b^3*d^2*x*e + 18*B*a^2*b*x^2*e^3 + 18*A*a*b^2*x^2*e^3 - 36*B*a^2*b*d*x*e^2 - 36*A*a*b^2*d*x*e^2 + 12*B*a^3*x*e^3 + 36*A*a^2*b*x*e^3)*e^(-4)","B",0
1042,1,362,0,1.225599," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^2,x, algorithm=""giac"")","\frac{1}{6} \, {\left(2 \, B b^{3} - \frac{3 \, {\left(4 \, B b^{3} d e - 3 \, B a b^{2} e^{2} - A b^{3} e^{2}\right)} e^{\left(-1\right)}}{x e + d} + \frac{18 \, {\left(2 \, B b^{3} d^{2} e^{2} - 3 \, B a b^{2} d e^{3} - A b^{3} d e^{3} + B a^{2} b e^{4} + A a b^{2} e^{4}\right)} e^{\left(-2\right)}}{{\left(x e + d\right)}^{2}}\right)} {\left(x e + d\right)}^{3} e^{\left(-5\right)} + {\left(4 \, B b^{3} d^{3} - 9 \, B a b^{2} d^{2} e - 3 \, A b^{3} d^{2} e + 6 \, B a^{2} b d e^{2} + 6 \, A a b^{2} d e^{2} - B a^{3} e^{3} - 3 \, A a^{2} b e^{3}\right)} e^{\left(-5\right)} \log\left(\frac{{\left| x e + d \right|} e^{\left(-1\right)}}{{\left(x e + d\right)}^{2}}\right) - {\left(\frac{B b^{3} d^{4} e^{3}}{x e + d} - \frac{3 \, B a b^{2} d^{3} e^{4}}{x e + d} - \frac{A b^{3} d^{3} e^{4}}{x e + d} + \frac{3 \, B a^{2} b d^{2} e^{5}}{x e + d} + \frac{3 \, A a b^{2} d^{2} e^{5}}{x e + d} - \frac{B a^{3} d e^{6}}{x e + d} - \frac{3 \, A a^{2} b d e^{6}}{x e + d} + \frac{A a^{3} e^{7}}{x e + d}\right)} e^{\left(-8\right)}"," ",0,"1/6*(2*B*b^3 - 3*(4*B*b^3*d*e - 3*B*a*b^2*e^2 - A*b^3*e^2)*e^(-1)/(x*e + d) + 18*(2*B*b^3*d^2*e^2 - 3*B*a*b^2*d*e^3 - A*b^3*d*e^3 + B*a^2*b*e^4 + A*a*b^2*e^4)*e^(-2)/(x*e + d)^2)*(x*e + d)^3*e^(-5) + (4*B*b^3*d^3 - 9*B*a*b^2*d^2*e - 3*A*b^3*d^2*e + 6*B*a^2*b*d*e^2 + 6*A*a*b^2*d*e^2 - B*a^3*e^3 - 3*A*a^2*b*e^3)*e^(-5)*log(abs(x*e + d)*e^(-1)/(x*e + d)^2) - (B*b^3*d^4*e^3/(x*e + d) - 3*B*a*b^2*d^3*e^4/(x*e + d) - A*b^3*d^3*e^4/(x*e + d) + 3*B*a^2*b*d^2*e^5/(x*e + d) + 3*A*a*b^2*d^2*e^5/(x*e + d) - B*a^3*d*e^6/(x*e + d) - 3*A*a^2*b*d*e^6/(x*e + d) + A*a^3*e^7/(x*e + d))*e^(-8)","B",0
1043,1,273,0,1.191485," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^3,x, algorithm=""giac"")","3 \, {\left(2 \, B b^{3} d^{2} - 3 \, B a b^{2} d e - A b^{3} d e + B a^{2} b e^{2} + A a b^{2} e^{2}\right)} e^{\left(-5\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{2} \, {\left(B b^{3} x^{2} e^{3} - 6 \, B b^{3} d x e^{2} + 6 \, B a b^{2} x e^{3} + 2 \, A b^{3} x e^{3}\right)} e^{\left(-6\right)} + \frac{{\left(7 \, B b^{3} d^{4} - 15 \, B a b^{2} d^{3} e - 5 \, A b^{3} d^{3} e + 9 \, B a^{2} b d^{2} e^{2} + 9 \, A a b^{2} d^{2} e^{2} - B a^{3} d e^{3} - 3 \, A a^{2} b d e^{3} - A a^{3} e^{4} + 2 \, {\left(4 \, B b^{3} d^{3} e - 9 \, B a b^{2} d^{2} e^{2} - 3 \, A b^{3} d^{2} e^{2} + 6 \, B a^{2} b d e^{3} + 6 \, A a b^{2} d e^{3} - B a^{3} e^{4} - 3 \, A a^{2} b e^{4}\right)} x\right)} e^{\left(-5\right)}}{2 \, {\left(x e + d\right)}^{2}}"," ",0,"3*(2*B*b^3*d^2 - 3*B*a*b^2*d*e - A*b^3*d*e + B*a^2*b*e^2 + A*a*b^2*e^2)*e^(-5)*log(abs(x*e + d)) + 1/2*(B*b^3*x^2*e^3 - 6*B*b^3*d*x*e^2 + 6*B*a*b^2*x*e^3 + 2*A*b^3*x*e^3)*e^(-6) + 1/2*(7*B*b^3*d^4 - 15*B*a*b^2*d^3*e - 5*A*b^3*d^3*e + 9*B*a^2*b*d^2*e^2 + 9*A*a*b^2*d^2*e^2 - B*a^3*d*e^3 - 3*A*a^2*b*d*e^3 - A*a^3*e^4 + 2*(4*B*b^3*d^3*e - 9*B*a*b^2*d^2*e^2 - 3*A*b^3*d^2*e^2 + 6*B*a^2*b*d*e^3 + 6*A*a*b^2*d*e^3 - B*a^3*e^4 - 3*A*a^2*b*e^4)*x)*e^(-5)/(x*e + d)^2","A",0
1044,1,267,0,1.171412," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^4,x, algorithm=""giac"")","B b^{3} x e^{\left(-4\right)} - {\left(4 \, B b^{3} d - 3 \, B a b^{2} e - A b^{3} e\right)} e^{\left(-5\right)} \log\left({\left| x e + d \right|}\right) - \frac{{\left(26 \, B b^{3} d^{4} - 33 \, B a b^{2} d^{3} e - 11 \, A b^{3} d^{3} e + 6 \, B a^{2} b d^{2} e^{2} + 6 \, A a b^{2} d^{2} e^{2} + B a^{3} d e^{3} + 3 \, A a^{2} b d e^{3} + 2 \, A a^{3} e^{4} + 18 \, {\left(2 \, B b^{3} d^{2} e^{2} - 3 \, B a b^{2} d e^{3} - A b^{3} d e^{3} + B a^{2} b e^{4} + A a b^{2} e^{4}\right)} x^{2} + 3 \, {\left(20 \, B b^{3} d^{3} e - 27 \, B a b^{2} d^{2} e^{2} - 9 \, A b^{3} d^{2} e^{2} + 6 \, B a^{2} b d e^{3} + 6 \, A a b^{2} d e^{3} + B a^{3} e^{4} + 3 \, A a^{2} b e^{4}\right)} x\right)} e^{\left(-5\right)}}{6 \, {\left(x e + d\right)}^{3}}"," ",0,"B*b^3*x*e^(-4) - (4*B*b^3*d - 3*B*a*b^2*e - A*b^3*e)*e^(-5)*log(abs(x*e + d)) - 1/6*(26*B*b^3*d^4 - 33*B*a*b^2*d^3*e - 11*A*b^3*d^3*e + 6*B*a^2*b*d^2*e^2 + 6*A*a*b^2*d^2*e^2 + B*a^3*d*e^3 + 3*A*a^2*b*d*e^3 + 2*A*a^3*e^4 + 18*(2*B*b^3*d^2*e^2 - 3*B*a*b^2*d*e^3 - A*b^3*d*e^3 + B*a^2*b*e^4 + A*a*b^2*e^4)*x^2 + 3*(20*B*b^3*d^3*e - 27*B*a*b^2*d^2*e^2 - 9*A*b^3*d^2*e^2 + 6*B*a^2*b*d*e^3 + 6*A*a*b^2*d*e^3 + B*a^3*e^4 + 3*A*a^2*b*e^4)*x)*e^(-5)/(x*e + d)^3","A",0
1045,1,447,0,1.285232," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^5,x, algorithm=""giac"")","-B b^{3} e^{\left(-5\right)} \log\left(\frac{{\left| x e + d \right|} e^{\left(-1\right)}}{{\left(x e + d\right)}^{2}}\right) + \frac{1}{12} \, {\left(\frac{48 \, B b^{3} d e^{15}}{x e + d} - \frac{36 \, B b^{3} d^{2} e^{15}}{{\left(x e + d\right)}^{2}} + \frac{16 \, B b^{3} d^{3} e^{15}}{{\left(x e + d\right)}^{3}} - \frac{3 \, B b^{3} d^{4} e^{15}}{{\left(x e + d\right)}^{4}} - \frac{36 \, B a b^{2} e^{16}}{x e + d} - \frac{12 \, A b^{3} e^{16}}{x e + d} + \frac{54 \, B a b^{2} d e^{16}}{{\left(x e + d\right)}^{2}} + \frac{18 \, A b^{3} d e^{16}}{{\left(x e + d\right)}^{2}} - \frac{36 \, B a b^{2} d^{2} e^{16}}{{\left(x e + d\right)}^{3}} - \frac{12 \, A b^{3} d^{2} e^{16}}{{\left(x e + d\right)}^{3}} + \frac{9 \, B a b^{2} d^{3} e^{16}}{{\left(x e + d\right)}^{4}} + \frac{3 \, A b^{3} d^{3} e^{16}}{{\left(x e + d\right)}^{4}} - \frac{18 \, B a^{2} b e^{17}}{{\left(x e + d\right)}^{2}} - \frac{18 \, A a b^{2} e^{17}}{{\left(x e + d\right)}^{2}} + \frac{24 \, B a^{2} b d e^{17}}{{\left(x e + d\right)}^{3}} + \frac{24 \, A a b^{2} d e^{17}}{{\left(x e + d\right)}^{3}} - \frac{9 \, B a^{2} b d^{2} e^{17}}{{\left(x e + d\right)}^{4}} - \frac{9 \, A a b^{2} d^{2} e^{17}}{{\left(x e + d\right)}^{4}} - \frac{4 \, B a^{3} e^{18}}{{\left(x e + d\right)}^{3}} - \frac{12 \, A a^{2} b e^{18}}{{\left(x e + d\right)}^{3}} + \frac{3 \, B a^{3} d e^{18}}{{\left(x e + d\right)}^{4}} + \frac{9 \, A a^{2} b d e^{18}}{{\left(x e + d\right)}^{4}} - \frac{3 \, A a^{3} e^{19}}{{\left(x e + d\right)}^{4}}\right)} e^{\left(-20\right)}"," ",0,"-B*b^3*e^(-5)*log(abs(x*e + d)*e^(-1)/(x*e + d)^2) + 1/12*(48*B*b^3*d*e^15/(x*e + d) - 36*B*b^3*d^2*e^15/(x*e + d)^2 + 16*B*b^3*d^3*e^15/(x*e + d)^3 - 3*B*b^3*d^4*e^15/(x*e + d)^4 - 36*B*a*b^2*e^16/(x*e + d) - 12*A*b^3*e^16/(x*e + d) + 54*B*a*b^2*d*e^16/(x*e + d)^2 + 18*A*b^3*d*e^16/(x*e + d)^2 - 36*B*a*b^2*d^2*e^16/(x*e + d)^3 - 12*A*b^3*d^2*e^16/(x*e + d)^3 + 9*B*a*b^2*d^3*e^16/(x*e + d)^4 + 3*A*b^3*d^3*e^16/(x*e + d)^4 - 18*B*a^2*b*e^17/(x*e + d)^2 - 18*A*a*b^2*e^17/(x*e + d)^2 + 24*B*a^2*b*d*e^17/(x*e + d)^3 + 24*A*a*b^2*d*e^17/(x*e + d)^3 - 9*B*a^2*b*d^2*e^17/(x*e + d)^4 - 9*A*a*b^2*d^2*e^17/(x*e + d)^4 - 4*B*a^3*e^18/(x*e + d)^3 - 12*A*a^2*b*e^18/(x*e + d)^3 + 3*B*a^3*d*e^18/(x*e + d)^4 + 9*A*a^2*b*d*e^18/(x*e + d)^4 - 3*A*a^3*e^19/(x*e + d)^4)*e^(-20)","B",0
1046,1,281,0,1.204957," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^6,x, algorithm=""giac"")","-\frac{{\left(20 \, B b^{3} x^{4} e^{4} + 40 \, B b^{3} d x^{3} e^{3} + 40 \, B b^{3} d^{2} x^{2} e^{2} + 20 \, B b^{3} d^{3} x e + 4 \, B b^{3} d^{4} + 30 \, B a b^{2} x^{3} e^{4} + 10 \, A b^{3} x^{3} e^{4} + 30 \, B a b^{2} d x^{2} e^{3} + 10 \, A b^{3} d x^{2} e^{3} + 15 \, B a b^{2} d^{2} x e^{2} + 5 \, A b^{3} d^{2} x e^{2} + 3 \, B a b^{2} d^{3} e + A b^{3} d^{3} e + 20 \, B a^{2} b x^{2} e^{4} + 20 \, A a b^{2} x^{2} e^{4} + 10 \, B a^{2} b d x e^{3} + 10 \, A a b^{2} d x e^{3} + 2 \, B a^{2} b d^{2} e^{2} + 2 \, A a b^{2} d^{2} e^{2} + 5 \, B a^{3} x e^{4} + 15 \, A a^{2} b x e^{4} + B a^{3} d e^{3} + 3 \, A a^{2} b d e^{3} + 4 \, A a^{3} e^{4}\right)} e^{\left(-5\right)}}{20 \, {\left(x e + d\right)}^{5}}"," ",0,"-1/20*(20*B*b^3*x^4*e^4 + 40*B*b^3*d*x^3*e^3 + 40*B*b^3*d^2*x^2*e^2 + 20*B*b^3*d^3*x*e + 4*B*b^3*d^4 + 30*B*a*b^2*x^3*e^4 + 10*A*b^3*x^3*e^4 + 30*B*a*b^2*d*x^2*e^3 + 10*A*b^3*d*x^2*e^3 + 15*B*a*b^2*d^2*x*e^2 + 5*A*b^3*d^2*x*e^2 + 3*B*a*b^2*d^3*e + A*b^3*d^3*e + 20*B*a^2*b*x^2*e^4 + 20*A*a*b^2*x^2*e^4 + 10*B*a^2*b*d*x*e^3 + 10*A*a*b^2*d*x*e^3 + 2*B*a^2*b*d^2*e^2 + 2*A*a*b^2*d^2*e^2 + 5*B*a^3*x*e^4 + 15*A*a^2*b*x*e^4 + B*a^3*d*e^3 + 3*A*a^2*b*d*e^3 + 4*A*a^3*e^4)*e^(-5)/(x*e + d)^5","B",0
1047,1,282,0,1.168420," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^7,x, algorithm=""giac"")","-\frac{{\left(30 \, B b^{3} x^{4} e^{4} + 40 \, B b^{3} d x^{3} e^{3} + 30 \, B b^{3} d^{2} x^{2} e^{2} + 12 \, B b^{3} d^{3} x e + 2 \, B b^{3} d^{4} + 60 \, B a b^{2} x^{3} e^{4} + 20 \, A b^{3} x^{3} e^{4} + 45 \, B a b^{2} d x^{2} e^{3} + 15 \, A b^{3} d x^{2} e^{3} + 18 \, B a b^{2} d^{2} x e^{2} + 6 \, A b^{3} d^{2} x e^{2} + 3 \, B a b^{2} d^{3} e + A b^{3} d^{3} e + 45 \, B a^{2} b x^{2} e^{4} + 45 \, A a b^{2} x^{2} e^{4} + 18 \, B a^{2} b d x e^{3} + 18 \, A a b^{2} d x e^{3} + 3 \, B a^{2} b d^{2} e^{2} + 3 \, A a b^{2} d^{2} e^{2} + 12 \, B a^{3} x e^{4} + 36 \, A a^{2} b x e^{4} + 2 \, B a^{3} d e^{3} + 6 \, A a^{2} b d e^{3} + 10 \, A a^{3} e^{4}\right)} e^{\left(-5\right)}}{60 \, {\left(x e + d\right)}^{6}}"," ",0,"-1/60*(30*B*b^3*x^4*e^4 + 40*B*b^3*d*x^3*e^3 + 30*B*b^3*d^2*x^2*e^2 + 12*B*b^3*d^3*x*e + 2*B*b^3*d^4 + 60*B*a*b^2*x^3*e^4 + 20*A*b^3*x^3*e^4 + 45*B*a*b^2*d*x^2*e^3 + 15*A*b^3*d*x^2*e^3 + 18*B*a*b^2*d^2*x*e^2 + 6*A*b^3*d^2*x*e^2 + 3*B*a*b^2*d^3*e + A*b^3*d^3*e + 45*B*a^2*b*x^2*e^4 + 45*A*a*b^2*x^2*e^4 + 18*B*a^2*b*d*x*e^3 + 18*A*a*b^2*d*x*e^3 + 3*B*a^2*b*d^2*e^2 + 3*A*a*b^2*d^2*e^2 + 12*B*a^3*x*e^4 + 36*A*a^2*b*x*e^4 + 2*B*a^3*d*e^3 + 6*A*a^2*b*d*e^3 + 10*A*a^3*e^4)*e^(-5)/(x*e + d)^6","B",0
1048,1,283,0,1.356277," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^8,x, algorithm=""giac"")","-\frac{{\left(140 \, B b^{3} x^{4} e^{4} + 140 \, B b^{3} d x^{3} e^{3} + 84 \, B b^{3} d^{2} x^{2} e^{2} + 28 \, B b^{3} d^{3} x e + 4 \, B b^{3} d^{4} + 315 \, B a b^{2} x^{3} e^{4} + 105 \, A b^{3} x^{3} e^{4} + 189 \, B a b^{2} d x^{2} e^{3} + 63 \, A b^{3} d x^{2} e^{3} + 63 \, B a b^{2} d^{2} x e^{2} + 21 \, A b^{3} d^{2} x e^{2} + 9 \, B a b^{2} d^{3} e + 3 \, A b^{3} d^{3} e + 252 \, B a^{2} b x^{2} e^{4} + 252 \, A a b^{2} x^{2} e^{4} + 84 \, B a^{2} b d x e^{3} + 84 \, A a b^{2} d x e^{3} + 12 \, B a^{2} b d^{2} e^{2} + 12 \, A a b^{2} d^{2} e^{2} + 70 \, B a^{3} x e^{4} + 210 \, A a^{2} b x e^{4} + 10 \, B a^{3} d e^{3} + 30 \, A a^{2} b d e^{3} + 60 \, A a^{3} e^{4}\right)} e^{\left(-5\right)}}{420 \, {\left(x e + d\right)}^{7}}"," ",0,"-1/420*(140*B*b^3*x^4*e^4 + 140*B*b^3*d*x^3*e^3 + 84*B*b^3*d^2*x^2*e^2 + 28*B*b^3*d^3*x*e + 4*B*b^3*d^4 + 315*B*a*b^2*x^3*e^4 + 105*A*b^3*x^3*e^4 + 189*B*a*b^2*d*x^2*e^3 + 63*A*b^3*d*x^2*e^3 + 63*B*a*b^2*d^2*x*e^2 + 21*A*b^3*d^2*x*e^2 + 9*B*a*b^2*d^3*e + 3*A*b^3*d^3*e + 252*B*a^2*b*x^2*e^4 + 252*A*a*b^2*x^2*e^4 + 84*B*a^2*b*d*x*e^3 + 84*A*a*b^2*d*x*e^3 + 12*B*a^2*b*d^2*e^2 + 12*A*a*b^2*d^2*e^2 + 70*B*a^3*x*e^4 + 210*A*a^2*b*x*e^4 + 10*B*a^3*d*e^3 + 30*A*a^2*b*d*e^3 + 60*A*a^3*e^4)*e^(-5)/(x*e + d)^7","A",0
1049,1,281,0,1.203886," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^9,x, algorithm=""giac"")","-\frac{{\left(70 \, B b^{3} x^{4} e^{4} + 56 \, B b^{3} d x^{3} e^{3} + 28 \, B b^{3} d^{2} x^{2} e^{2} + 8 \, B b^{3} d^{3} x e + B b^{3} d^{4} + 168 \, B a b^{2} x^{3} e^{4} + 56 \, A b^{3} x^{3} e^{4} + 84 \, B a b^{2} d x^{2} e^{3} + 28 \, A b^{3} d x^{2} e^{3} + 24 \, B a b^{2} d^{2} x e^{2} + 8 \, A b^{3} d^{2} x e^{2} + 3 \, B a b^{2} d^{3} e + A b^{3} d^{3} e + 140 \, B a^{2} b x^{2} e^{4} + 140 \, A a b^{2} x^{2} e^{4} + 40 \, B a^{2} b d x e^{3} + 40 \, A a b^{2} d x e^{3} + 5 \, B a^{2} b d^{2} e^{2} + 5 \, A a b^{2} d^{2} e^{2} + 40 \, B a^{3} x e^{4} + 120 \, A a^{2} b x e^{4} + 5 \, B a^{3} d e^{3} + 15 \, A a^{2} b d e^{3} + 35 \, A a^{3} e^{4}\right)} e^{\left(-5\right)}}{280 \, {\left(x e + d\right)}^{8}}"," ",0,"-1/280*(70*B*b^3*x^4*e^4 + 56*B*b^3*d*x^3*e^3 + 28*B*b^3*d^2*x^2*e^2 + 8*B*b^3*d^3*x*e + B*b^3*d^4 + 168*B*a*b^2*x^3*e^4 + 56*A*b^3*x^3*e^4 + 84*B*a*b^2*d*x^2*e^3 + 28*A*b^3*d*x^2*e^3 + 24*B*a*b^2*d^2*x*e^2 + 8*A*b^3*d^2*x*e^2 + 3*B*a*b^2*d^3*e + A*b^3*d^3*e + 140*B*a^2*b*x^2*e^4 + 140*A*a*b^2*x^2*e^4 + 40*B*a^2*b*d*x*e^3 + 40*A*a*b^2*d*x*e^3 + 5*B*a^2*b*d^2*e^2 + 5*A*a*b^2*d^2*e^2 + 40*B*a^3*x*e^4 + 120*A*a^2*b*x*e^4 + 5*B*a^3*d*e^3 + 15*A*a^2*b*d*e^3 + 35*A*a^3*e^4)*e^(-5)/(x*e + d)^8","A",0
1050,1,283,0,1.208025," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^10,x, algorithm=""giac"")","-\frac{{\left(504 \, B b^{3} x^{4} e^{4} + 336 \, B b^{3} d x^{3} e^{3} + 144 \, B b^{3} d^{2} x^{2} e^{2} + 36 \, B b^{3} d^{3} x e + 4 \, B b^{3} d^{4} + 1260 \, B a b^{2} x^{3} e^{4} + 420 \, A b^{3} x^{3} e^{4} + 540 \, B a b^{2} d x^{2} e^{3} + 180 \, A b^{3} d x^{2} e^{3} + 135 \, B a b^{2} d^{2} x e^{2} + 45 \, A b^{3} d^{2} x e^{2} + 15 \, B a b^{2} d^{3} e + 5 \, A b^{3} d^{3} e + 1080 \, B a^{2} b x^{2} e^{4} + 1080 \, A a b^{2} x^{2} e^{4} + 270 \, B a^{2} b d x e^{3} + 270 \, A a b^{2} d x e^{3} + 30 \, B a^{2} b d^{2} e^{2} + 30 \, A a b^{2} d^{2} e^{2} + 315 \, B a^{3} x e^{4} + 945 \, A a^{2} b x e^{4} + 35 \, B a^{3} d e^{3} + 105 \, A a^{2} b d e^{3} + 280 \, A a^{3} e^{4}\right)} e^{\left(-5\right)}}{2520 \, {\left(x e + d\right)}^{9}}"," ",0,"-1/2520*(504*B*b^3*x^4*e^4 + 336*B*b^3*d*x^3*e^3 + 144*B*b^3*d^2*x^2*e^2 + 36*B*b^3*d^3*x*e + 4*B*b^3*d^4 + 1260*B*a*b^2*x^3*e^4 + 420*A*b^3*x^3*e^4 + 540*B*a*b^2*d*x^2*e^3 + 180*A*b^3*d*x^2*e^3 + 135*B*a*b^2*d^2*x*e^2 + 45*A*b^3*d^2*x*e^2 + 15*B*a*b^2*d^3*e + 5*A*b^3*d^3*e + 1080*B*a^2*b*x^2*e^4 + 1080*A*a*b^2*x^2*e^4 + 270*B*a^2*b*d*x*e^3 + 270*A*a*b^2*d*x*e^3 + 30*B*a^2*b*d^2*e^2 + 30*A*a*b^2*d^2*e^2 + 315*B*a^3*x*e^4 + 945*A*a^2*b*x*e^4 + 35*B*a^3*d*e^3 + 105*A*a^2*b*d*e^3 + 280*A*a^3*e^4)*e^(-5)/(x*e + d)^9","A",0
1051,1,1859,0,1.344104," ","integrate((b*x+a)^6*(B*x+A)*(e*x+d)^8,x, algorithm=""giac"")","\frac{1}{16} \, B b^{6} x^{16} e^{8} + \frac{8}{15} \, B b^{6} d x^{15} e^{7} + 2 \, B b^{6} d^{2} x^{14} e^{6} + \frac{56}{13} \, B b^{6} d^{3} x^{13} e^{5} + \frac{35}{6} \, B b^{6} d^{4} x^{12} e^{4} + \frac{56}{11} \, B b^{6} d^{5} x^{11} e^{3} + \frac{14}{5} \, B b^{6} d^{6} x^{10} e^{2} + \frac{8}{9} \, B b^{6} d^{7} x^{9} e + \frac{1}{8} \, B b^{6} d^{8} x^{8} + \frac{2}{5} \, B a b^{5} x^{15} e^{8} + \frac{1}{15} \, A b^{6} x^{15} e^{8} + \frac{24}{7} \, B a b^{5} d x^{14} e^{7} + \frac{4}{7} \, A b^{6} d x^{14} e^{7} + \frac{168}{13} \, B a b^{5} d^{2} x^{13} e^{6} + \frac{28}{13} \, A b^{6} d^{2} x^{13} e^{6} + 28 \, B a b^{5} d^{3} x^{12} e^{5} + \frac{14}{3} \, A b^{6} d^{3} x^{12} e^{5} + \frac{420}{11} \, B a b^{5} d^{4} x^{11} e^{4} + \frac{70}{11} \, A b^{6} d^{4} x^{11} e^{4} + \frac{168}{5} \, B a b^{5} d^{5} x^{10} e^{3} + \frac{28}{5} \, A b^{6} d^{5} x^{10} e^{3} + \frac{56}{3} \, B a b^{5} d^{6} x^{9} e^{2} + \frac{28}{9} \, A b^{6} d^{6} x^{9} e^{2} + 6 \, B a b^{5} d^{7} x^{8} e + A b^{6} d^{7} x^{8} e + \frac{6}{7} \, B a b^{5} d^{8} x^{7} + \frac{1}{7} \, A b^{6} d^{8} x^{7} + \frac{15}{14} \, B a^{2} b^{4} x^{14} e^{8} + \frac{3}{7} \, A a b^{5} x^{14} e^{8} + \frac{120}{13} \, B a^{2} b^{4} d x^{13} e^{7} + \frac{48}{13} \, A a b^{5} d x^{13} e^{7} + 35 \, B a^{2} b^{4} d^{2} x^{12} e^{6} + 14 \, A a b^{5} d^{2} x^{12} e^{6} + \frac{840}{11} \, B a^{2} b^{4} d^{3} x^{11} e^{5} + \frac{336}{11} \, A a b^{5} d^{3} x^{11} e^{5} + 105 \, B a^{2} b^{4} d^{4} x^{10} e^{4} + 42 \, A a b^{5} d^{4} x^{10} e^{4} + \frac{280}{3} \, B a^{2} b^{4} d^{5} x^{9} e^{3} + \frac{112}{3} \, A a b^{5} d^{5} x^{9} e^{3} + \frac{105}{2} \, B a^{2} b^{4} d^{6} x^{8} e^{2} + 21 \, A a b^{5} d^{6} x^{8} e^{2} + \frac{120}{7} \, B a^{2} b^{4} d^{7} x^{7} e + \frac{48}{7} \, A a b^{5} d^{7} x^{7} e + \frac{5}{2} \, B a^{2} b^{4} d^{8} x^{6} + A a b^{5} d^{8} x^{6} + \frac{20}{13} \, B a^{3} b^{3} x^{13} e^{8} + \frac{15}{13} \, A a^{2} b^{4} x^{13} e^{8} + \frac{40}{3} \, B a^{3} b^{3} d x^{12} e^{7} + 10 \, A a^{2} b^{4} d x^{12} e^{7} + \frac{560}{11} \, B a^{3} b^{3} d^{2} x^{11} e^{6} + \frac{420}{11} \, A a^{2} b^{4} d^{2} x^{11} e^{6} + 112 \, B a^{3} b^{3} d^{3} x^{10} e^{5} + 84 \, A a^{2} b^{4} d^{3} x^{10} e^{5} + \frac{1400}{9} \, B a^{3} b^{3} d^{4} x^{9} e^{4} + \frac{350}{3} \, A a^{2} b^{4} d^{4} x^{9} e^{4} + 140 \, B a^{3} b^{3} d^{5} x^{8} e^{3} + 105 \, A a^{2} b^{4} d^{5} x^{8} e^{3} + 80 \, B a^{3} b^{3} d^{6} x^{7} e^{2} + 60 \, A a^{2} b^{4} d^{6} x^{7} e^{2} + \frac{80}{3} \, B a^{3} b^{3} d^{7} x^{6} e + 20 \, A a^{2} b^{4} d^{7} x^{6} e + 4 \, B a^{3} b^{3} d^{8} x^{5} + 3 \, A a^{2} b^{4} d^{8} x^{5} + \frac{5}{4} \, B a^{4} b^{2} x^{12} e^{8} + \frac{5}{3} \, A a^{3} b^{3} x^{12} e^{8} + \frac{120}{11} \, B a^{4} b^{2} d x^{11} e^{7} + \frac{160}{11} \, A a^{3} b^{3} d x^{11} e^{7} + 42 \, B a^{4} b^{2} d^{2} x^{10} e^{6} + 56 \, A a^{3} b^{3} d^{2} x^{10} e^{6} + \frac{280}{3} \, B a^{4} b^{2} d^{3} x^{9} e^{5} + \frac{1120}{9} \, A a^{3} b^{3} d^{3} x^{9} e^{5} + \frac{525}{4} \, B a^{4} b^{2} d^{4} x^{8} e^{4} + 175 \, A a^{3} b^{3} d^{4} x^{8} e^{4} + 120 \, B a^{4} b^{2} d^{5} x^{7} e^{3} + 160 \, A a^{3} b^{3} d^{5} x^{7} e^{3} + 70 \, B a^{4} b^{2} d^{6} x^{6} e^{2} + \frac{280}{3} \, A a^{3} b^{3} d^{6} x^{6} e^{2} + 24 \, B a^{4} b^{2} d^{7} x^{5} e + 32 \, A a^{3} b^{3} d^{7} x^{5} e + \frac{15}{4} \, B a^{4} b^{2} d^{8} x^{4} + 5 \, A a^{3} b^{3} d^{8} x^{4} + \frac{6}{11} \, B a^{5} b x^{11} e^{8} + \frac{15}{11} \, A a^{4} b^{2} x^{11} e^{8} + \frac{24}{5} \, B a^{5} b d x^{10} e^{7} + 12 \, A a^{4} b^{2} d x^{10} e^{7} + \frac{56}{3} \, B a^{5} b d^{2} x^{9} e^{6} + \frac{140}{3} \, A a^{4} b^{2} d^{2} x^{9} e^{6} + 42 \, B a^{5} b d^{3} x^{8} e^{5} + 105 \, A a^{4} b^{2} d^{3} x^{8} e^{5} + 60 \, B a^{5} b d^{4} x^{7} e^{4} + 150 \, A a^{4} b^{2} d^{4} x^{7} e^{4} + 56 \, B a^{5} b d^{5} x^{6} e^{3} + 140 \, A a^{4} b^{2} d^{5} x^{6} e^{3} + \frac{168}{5} \, B a^{5} b d^{6} x^{5} e^{2} + 84 \, A a^{4} b^{2} d^{6} x^{5} e^{2} + 12 \, B a^{5} b d^{7} x^{4} e + 30 \, A a^{4} b^{2} d^{7} x^{4} e + 2 \, B a^{5} b d^{8} x^{3} + 5 \, A a^{4} b^{2} d^{8} x^{3} + \frac{1}{10} \, B a^{6} x^{10} e^{8} + \frac{3}{5} \, A a^{5} b x^{10} e^{8} + \frac{8}{9} \, B a^{6} d x^{9} e^{7} + \frac{16}{3} \, A a^{5} b d x^{9} e^{7} + \frac{7}{2} \, B a^{6} d^{2} x^{8} e^{6} + 21 \, A a^{5} b d^{2} x^{8} e^{6} + 8 \, B a^{6} d^{3} x^{7} e^{5} + 48 \, A a^{5} b d^{3} x^{7} e^{5} + \frac{35}{3} \, B a^{6} d^{4} x^{6} e^{4} + 70 \, A a^{5} b d^{4} x^{6} e^{4} + \frac{56}{5} \, B a^{6} d^{5} x^{5} e^{3} + \frac{336}{5} \, A a^{5} b d^{5} x^{5} e^{3} + 7 \, B a^{6} d^{6} x^{4} e^{2} + 42 \, A a^{5} b d^{6} x^{4} e^{2} + \frac{8}{3} \, B a^{6} d^{7} x^{3} e + 16 \, A a^{5} b d^{7} x^{3} e + \frac{1}{2} \, B a^{6} d^{8} x^{2} + 3 \, A a^{5} b d^{8} x^{2} + \frac{1}{9} \, A a^{6} x^{9} e^{8} + A a^{6} d x^{8} e^{7} + 4 \, A a^{6} d^{2} x^{7} e^{6} + \frac{28}{3} \, A a^{6} d^{3} x^{6} e^{5} + 14 \, A a^{6} d^{4} x^{5} e^{4} + 14 \, A a^{6} d^{5} x^{4} e^{3} + \frac{28}{3} \, A a^{6} d^{6} x^{3} e^{2} + 4 \, A a^{6} d^{7} x^{2} e + A a^{6} d^{8} x"," ",0,"1/16*B*b^6*x^16*e^8 + 8/15*B*b^6*d*x^15*e^7 + 2*B*b^6*d^2*x^14*e^6 + 56/13*B*b^6*d^3*x^13*e^5 + 35/6*B*b^6*d^4*x^12*e^4 + 56/11*B*b^6*d^5*x^11*e^3 + 14/5*B*b^6*d^6*x^10*e^2 + 8/9*B*b^6*d^7*x^9*e + 1/8*B*b^6*d^8*x^8 + 2/5*B*a*b^5*x^15*e^8 + 1/15*A*b^6*x^15*e^8 + 24/7*B*a*b^5*d*x^14*e^7 + 4/7*A*b^6*d*x^14*e^7 + 168/13*B*a*b^5*d^2*x^13*e^6 + 28/13*A*b^6*d^2*x^13*e^6 + 28*B*a*b^5*d^3*x^12*e^5 + 14/3*A*b^6*d^3*x^12*e^5 + 420/11*B*a*b^5*d^4*x^11*e^4 + 70/11*A*b^6*d^4*x^11*e^4 + 168/5*B*a*b^5*d^5*x^10*e^3 + 28/5*A*b^6*d^5*x^10*e^3 + 56/3*B*a*b^5*d^6*x^9*e^2 + 28/9*A*b^6*d^6*x^9*e^2 + 6*B*a*b^5*d^7*x^8*e + A*b^6*d^7*x^8*e + 6/7*B*a*b^5*d^8*x^7 + 1/7*A*b^6*d^8*x^7 + 15/14*B*a^2*b^4*x^14*e^8 + 3/7*A*a*b^5*x^14*e^8 + 120/13*B*a^2*b^4*d*x^13*e^7 + 48/13*A*a*b^5*d*x^13*e^7 + 35*B*a^2*b^4*d^2*x^12*e^6 + 14*A*a*b^5*d^2*x^12*e^6 + 840/11*B*a^2*b^4*d^3*x^11*e^5 + 336/11*A*a*b^5*d^3*x^11*e^5 + 105*B*a^2*b^4*d^4*x^10*e^4 + 42*A*a*b^5*d^4*x^10*e^4 + 280/3*B*a^2*b^4*d^5*x^9*e^3 + 112/3*A*a*b^5*d^5*x^9*e^3 + 105/2*B*a^2*b^4*d^6*x^8*e^2 + 21*A*a*b^5*d^6*x^8*e^2 + 120/7*B*a^2*b^4*d^7*x^7*e + 48/7*A*a*b^5*d^7*x^7*e + 5/2*B*a^2*b^4*d^8*x^6 + A*a*b^5*d^8*x^6 + 20/13*B*a^3*b^3*x^13*e^8 + 15/13*A*a^2*b^4*x^13*e^8 + 40/3*B*a^3*b^3*d*x^12*e^7 + 10*A*a^2*b^4*d*x^12*e^7 + 560/11*B*a^3*b^3*d^2*x^11*e^6 + 420/11*A*a^2*b^4*d^2*x^11*e^6 + 112*B*a^3*b^3*d^3*x^10*e^5 + 84*A*a^2*b^4*d^3*x^10*e^5 + 1400/9*B*a^3*b^3*d^4*x^9*e^4 + 350/3*A*a^2*b^4*d^4*x^9*e^4 + 140*B*a^3*b^3*d^5*x^8*e^3 + 105*A*a^2*b^4*d^5*x^8*e^3 + 80*B*a^3*b^3*d^6*x^7*e^2 + 60*A*a^2*b^4*d^6*x^7*e^2 + 80/3*B*a^3*b^3*d^7*x^6*e + 20*A*a^2*b^4*d^7*x^6*e + 4*B*a^3*b^3*d^8*x^5 + 3*A*a^2*b^4*d^8*x^5 + 5/4*B*a^4*b^2*x^12*e^8 + 5/3*A*a^3*b^3*x^12*e^8 + 120/11*B*a^4*b^2*d*x^11*e^7 + 160/11*A*a^3*b^3*d*x^11*e^7 + 42*B*a^4*b^2*d^2*x^10*e^6 + 56*A*a^3*b^3*d^2*x^10*e^6 + 280/3*B*a^4*b^2*d^3*x^9*e^5 + 1120/9*A*a^3*b^3*d^3*x^9*e^5 + 525/4*B*a^4*b^2*d^4*x^8*e^4 + 175*A*a^3*b^3*d^4*x^8*e^4 + 120*B*a^4*b^2*d^5*x^7*e^3 + 160*A*a^3*b^3*d^5*x^7*e^3 + 70*B*a^4*b^2*d^6*x^6*e^2 + 280/3*A*a^3*b^3*d^6*x^6*e^2 + 24*B*a^4*b^2*d^7*x^5*e + 32*A*a^3*b^3*d^7*x^5*e + 15/4*B*a^4*b^2*d^8*x^4 + 5*A*a^3*b^3*d^8*x^4 + 6/11*B*a^5*b*x^11*e^8 + 15/11*A*a^4*b^2*x^11*e^8 + 24/5*B*a^5*b*d*x^10*e^7 + 12*A*a^4*b^2*d*x^10*e^7 + 56/3*B*a^5*b*d^2*x^9*e^6 + 140/3*A*a^4*b^2*d^2*x^9*e^6 + 42*B*a^5*b*d^3*x^8*e^5 + 105*A*a^4*b^2*d^3*x^8*e^5 + 60*B*a^5*b*d^4*x^7*e^4 + 150*A*a^4*b^2*d^4*x^7*e^4 + 56*B*a^5*b*d^5*x^6*e^3 + 140*A*a^4*b^2*d^5*x^6*e^3 + 168/5*B*a^5*b*d^6*x^5*e^2 + 84*A*a^4*b^2*d^6*x^5*e^2 + 12*B*a^5*b*d^7*x^4*e + 30*A*a^4*b^2*d^7*x^4*e + 2*B*a^5*b*d^8*x^3 + 5*A*a^4*b^2*d^8*x^3 + 1/10*B*a^6*x^10*e^8 + 3/5*A*a^5*b*x^10*e^8 + 8/9*B*a^6*d*x^9*e^7 + 16/3*A*a^5*b*d*x^9*e^7 + 7/2*B*a^6*d^2*x^8*e^6 + 21*A*a^5*b*d^2*x^8*e^6 + 8*B*a^6*d^3*x^7*e^5 + 48*A*a^5*b*d^3*x^7*e^5 + 35/3*B*a^6*d^4*x^6*e^4 + 70*A*a^5*b*d^4*x^6*e^4 + 56/5*B*a^6*d^5*x^5*e^3 + 336/5*A*a^5*b*d^5*x^5*e^3 + 7*B*a^6*d^6*x^4*e^2 + 42*A*a^5*b*d^6*x^4*e^2 + 8/3*B*a^6*d^7*x^3*e + 16*A*a^5*b*d^7*x^3*e + 1/2*B*a^6*d^8*x^2 + 3*A*a^5*b*d^8*x^2 + 1/9*A*a^6*x^9*e^8 + A*a^6*d*x^8*e^7 + 4*A*a^6*d^2*x^7*e^6 + 28/3*A*a^6*d^3*x^6*e^5 + 14*A*a^6*d^4*x^5*e^4 + 14*A*a^6*d^5*x^4*e^3 + 28/3*A*a^6*d^6*x^3*e^2 + 4*A*a^6*d^7*x^2*e + A*a^6*d^8*x","B",0
1052,1,1642,0,1.258632," ","integrate((b*x+a)^6*(B*x+A)*(e*x+d)^7,x, algorithm=""giac"")","\frac{1}{15} \, B b^{6} x^{15} e^{7} + \frac{1}{2} \, B b^{6} d x^{14} e^{6} + \frac{21}{13} \, B b^{6} d^{2} x^{13} e^{5} + \frac{35}{12} \, B b^{6} d^{3} x^{12} e^{4} + \frac{35}{11} \, B b^{6} d^{4} x^{11} e^{3} + \frac{21}{10} \, B b^{6} d^{5} x^{10} e^{2} + \frac{7}{9} \, B b^{6} d^{6} x^{9} e + \frac{1}{8} \, B b^{6} d^{7} x^{8} + \frac{3}{7} \, B a b^{5} x^{14} e^{7} + \frac{1}{14} \, A b^{6} x^{14} e^{7} + \frac{42}{13} \, B a b^{5} d x^{13} e^{6} + \frac{7}{13} \, A b^{6} d x^{13} e^{6} + \frac{21}{2} \, B a b^{5} d^{2} x^{12} e^{5} + \frac{7}{4} \, A b^{6} d^{2} x^{12} e^{5} + \frac{210}{11} \, B a b^{5} d^{3} x^{11} e^{4} + \frac{35}{11} \, A b^{6} d^{3} x^{11} e^{4} + 21 \, B a b^{5} d^{4} x^{10} e^{3} + \frac{7}{2} \, A b^{6} d^{4} x^{10} e^{3} + 14 \, B a b^{5} d^{5} x^{9} e^{2} + \frac{7}{3} \, A b^{6} d^{5} x^{9} e^{2} + \frac{21}{4} \, B a b^{5} d^{6} x^{8} e + \frac{7}{8} \, A b^{6} d^{6} x^{8} e + \frac{6}{7} \, B a b^{5} d^{7} x^{7} + \frac{1}{7} \, A b^{6} d^{7} x^{7} + \frac{15}{13} \, B a^{2} b^{4} x^{13} e^{7} + \frac{6}{13} \, A a b^{5} x^{13} e^{7} + \frac{35}{4} \, B a^{2} b^{4} d x^{12} e^{6} + \frac{7}{2} \, A a b^{5} d x^{12} e^{6} + \frac{315}{11} \, B a^{2} b^{4} d^{2} x^{11} e^{5} + \frac{126}{11} \, A a b^{5} d^{2} x^{11} e^{5} + \frac{105}{2} \, B a^{2} b^{4} d^{3} x^{10} e^{4} + 21 \, A a b^{5} d^{3} x^{10} e^{4} + \frac{175}{3} \, B a^{2} b^{4} d^{4} x^{9} e^{3} + \frac{70}{3} \, A a b^{5} d^{4} x^{9} e^{3} + \frac{315}{8} \, B a^{2} b^{4} d^{5} x^{8} e^{2} + \frac{63}{4} \, A a b^{5} d^{5} x^{8} e^{2} + 15 \, B a^{2} b^{4} d^{6} x^{7} e + 6 \, A a b^{5} d^{6} x^{7} e + \frac{5}{2} \, B a^{2} b^{4} d^{7} x^{6} + A a b^{5} d^{7} x^{6} + \frac{5}{3} \, B a^{3} b^{3} x^{12} e^{7} + \frac{5}{4} \, A a^{2} b^{4} x^{12} e^{7} + \frac{140}{11} \, B a^{3} b^{3} d x^{11} e^{6} + \frac{105}{11} \, A a^{2} b^{4} d x^{11} e^{6} + 42 \, B a^{3} b^{3} d^{2} x^{10} e^{5} + \frac{63}{2} \, A a^{2} b^{4} d^{2} x^{10} e^{5} + \frac{700}{9} \, B a^{3} b^{3} d^{3} x^{9} e^{4} + \frac{175}{3} \, A a^{2} b^{4} d^{3} x^{9} e^{4} + \frac{175}{2} \, B a^{3} b^{3} d^{4} x^{8} e^{3} + \frac{525}{8} \, A a^{2} b^{4} d^{4} x^{8} e^{3} + 60 \, B a^{3} b^{3} d^{5} x^{7} e^{2} + 45 \, A a^{2} b^{4} d^{5} x^{7} e^{2} + \frac{70}{3} \, B a^{3} b^{3} d^{6} x^{6} e + \frac{35}{2} \, A a^{2} b^{4} d^{6} x^{6} e + 4 \, B a^{3} b^{3} d^{7} x^{5} + 3 \, A a^{2} b^{4} d^{7} x^{5} + \frac{15}{11} \, B a^{4} b^{2} x^{11} e^{7} + \frac{20}{11} \, A a^{3} b^{3} x^{11} e^{7} + \frac{21}{2} \, B a^{4} b^{2} d x^{10} e^{6} + 14 \, A a^{3} b^{3} d x^{10} e^{6} + 35 \, B a^{4} b^{2} d^{2} x^{9} e^{5} + \frac{140}{3} \, A a^{3} b^{3} d^{2} x^{9} e^{5} + \frac{525}{8} \, B a^{4} b^{2} d^{3} x^{8} e^{4} + \frac{175}{2} \, A a^{3} b^{3} d^{3} x^{8} e^{4} + 75 \, B a^{4} b^{2} d^{4} x^{7} e^{3} + 100 \, A a^{3} b^{3} d^{4} x^{7} e^{3} + \frac{105}{2} \, B a^{4} b^{2} d^{5} x^{6} e^{2} + 70 \, A a^{3} b^{3} d^{5} x^{6} e^{2} + 21 \, B a^{4} b^{2} d^{6} x^{5} e + 28 \, A a^{3} b^{3} d^{6} x^{5} e + \frac{15}{4} \, B a^{4} b^{2} d^{7} x^{4} + 5 \, A a^{3} b^{3} d^{7} x^{4} + \frac{3}{5} \, B a^{5} b x^{10} e^{7} + \frac{3}{2} \, A a^{4} b^{2} x^{10} e^{7} + \frac{14}{3} \, B a^{5} b d x^{9} e^{6} + \frac{35}{3} \, A a^{4} b^{2} d x^{9} e^{6} + \frac{63}{4} \, B a^{5} b d^{2} x^{8} e^{5} + \frac{315}{8} \, A a^{4} b^{2} d^{2} x^{8} e^{5} + 30 \, B a^{5} b d^{3} x^{7} e^{4} + 75 \, A a^{4} b^{2} d^{3} x^{7} e^{4} + 35 \, B a^{5} b d^{4} x^{6} e^{3} + \frac{175}{2} \, A a^{4} b^{2} d^{4} x^{6} e^{3} + \frac{126}{5} \, B a^{5} b d^{5} x^{5} e^{2} + 63 \, A a^{4} b^{2} d^{5} x^{5} e^{2} + \frac{21}{2} \, B a^{5} b d^{6} x^{4} e + \frac{105}{4} \, A a^{4} b^{2} d^{6} x^{4} e + 2 \, B a^{5} b d^{7} x^{3} + 5 \, A a^{4} b^{2} d^{7} x^{3} + \frac{1}{9} \, B a^{6} x^{9} e^{7} + \frac{2}{3} \, A a^{5} b x^{9} e^{7} + \frac{7}{8} \, B a^{6} d x^{8} e^{6} + \frac{21}{4} \, A a^{5} b d x^{8} e^{6} + 3 \, B a^{6} d^{2} x^{7} e^{5} + 18 \, A a^{5} b d^{2} x^{7} e^{5} + \frac{35}{6} \, B a^{6} d^{3} x^{6} e^{4} + 35 \, A a^{5} b d^{3} x^{6} e^{4} + 7 \, B a^{6} d^{4} x^{5} e^{3} + 42 \, A a^{5} b d^{4} x^{5} e^{3} + \frac{21}{4} \, B a^{6} d^{5} x^{4} e^{2} + \frac{63}{2} \, A a^{5} b d^{5} x^{4} e^{2} + \frac{7}{3} \, B a^{6} d^{6} x^{3} e + 14 \, A a^{5} b d^{6} x^{3} e + \frac{1}{2} \, B a^{6} d^{7} x^{2} + 3 \, A a^{5} b d^{7} x^{2} + \frac{1}{8} \, A a^{6} x^{8} e^{7} + A a^{6} d x^{7} e^{6} + \frac{7}{2} \, A a^{6} d^{2} x^{6} e^{5} + 7 \, A a^{6} d^{3} x^{5} e^{4} + \frac{35}{4} \, A a^{6} d^{4} x^{4} e^{3} + 7 \, A a^{6} d^{5} x^{3} e^{2} + \frac{7}{2} \, A a^{6} d^{6} x^{2} e + A a^{6} d^{7} x"," ",0,"1/15*B*b^6*x^15*e^7 + 1/2*B*b^6*d*x^14*e^6 + 21/13*B*b^6*d^2*x^13*e^5 + 35/12*B*b^6*d^3*x^12*e^4 + 35/11*B*b^6*d^4*x^11*e^3 + 21/10*B*b^6*d^5*x^10*e^2 + 7/9*B*b^6*d^6*x^9*e + 1/8*B*b^6*d^7*x^8 + 3/7*B*a*b^5*x^14*e^7 + 1/14*A*b^6*x^14*e^7 + 42/13*B*a*b^5*d*x^13*e^6 + 7/13*A*b^6*d*x^13*e^6 + 21/2*B*a*b^5*d^2*x^12*e^5 + 7/4*A*b^6*d^2*x^12*e^5 + 210/11*B*a*b^5*d^3*x^11*e^4 + 35/11*A*b^6*d^3*x^11*e^4 + 21*B*a*b^5*d^4*x^10*e^3 + 7/2*A*b^6*d^4*x^10*e^3 + 14*B*a*b^5*d^5*x^9*e^2 + 7/3*A*b^6*d^5*x^9*e^2 + 21/4*B*a*b^5*d^6*x^8*e + 7/8*A*b^6*d^6*x^8*e + 6/7*B*a*b^5*d^7*x^7 + 1/7*A*b^6*d^7*x^7 + 15/13*B*a^2*b^4*x^13*e^7 + 6/13*A*a*b^5*x^13*e^7 + 35/4*B*a^2*b^4*d*x^12*e^6 + 7/2*A*a*b^5*d*x^12*e^6 + 315/11*B*a^2*b^4*d^2*x^11*e^5 + 126/11*A*a*b^5*d^2*x^11*e^5 + 105/2*B*a^2*b^4*d^3*x^10*e^4 + 21*A*a*b^5*d^3*x^10*e^4 + 175/3*B*a^2*b^4*d^4*x^9*e^3 + 70/3*A*a*b^5*d^4*x^9*e^3 + 315/8*B*a^2*b^4*d^5*x^8*e^2 + 63/4*A*a*b^5*d^5*x^8*e^2 + 15*B*a^2*b^4*d^6*x^7*e + 6*A*a*b^5*d^6*x^7*e + 5/2*B*a^2*b^4*d^7*x^6 + A*a*b^5*d^7*x^6 + 5/3*B*a^3*b^3*x^12*e^7 + 5/4*A*a^2*b^4*x^12*e^7 + 140/11*B*a^3*b^3*d*x^11*e^6 + 105/11*A*a^2*b^4*d*x^11*e^6 + 42*B*a^3*b^3*d^2*x^10*e^5 + 63/2*A*a^2*b^4*d^2*x^10*e^5 + 700/9*B*a^3*b^3*d^3*x^9*e^4 + 175/3*A*a^2*b^4*d^3*x^9*e^4 + 175/2*B*a^3*b^3*d^4*x^8*e^3 + 525/8*A*a^2*b^4*d^4*x^8*e^3 + 60*B*a^3*b^3*d^5*x^7*e^2 + 45*A*a^2*b^4*d^5*x^7*e^2 + 70/3*B*a^3*b^3*d^6*x^6*e + 35/2*A*a^2*b^4*d^6*x^6*e + 4*B*a^3*b^3*d^7*x^5 + 3*A*a^2*b^4*d^7*x^5 + 15/11*B*a^4*b^2*x^11*e^7 + 20/11*A*a^3*b^3*x^11*e^7 + 21/2*B*a^4*b^2*d*x^10*e^6 + 14*A*a^3*b^3*d*x^10*e^6 + 35*B*a^4*b^2*d^2*x^9*e^5 + 140/3*A*a^3*b^3*d^2*x^9*e^5 + 525/8*B*a^4*b^2*d^3*x^8*e^4 + 175/2*A*a^3*b^3*d^3*x^8*e^4 + 75*B*a^4*b^2*d^4*x^7*e^3 + 100*A*a^3*b^3*d^4*x^7*e^3 + 105/2*B*a^4*b^2*d^5*x^6*e^2 + 70*A*a^3*b^3*d^5*x^6*e^2 + 21*B*a^4*b^2*d^6*x^5*e + 28*A*a^3*b^3*d^6*x^5*e + 15/4*B*a^4*b^2*d^7*x^4 + 5*A*a^3*b^3*d^7*x^4 + 3/5*B*a^5*b*x^10*e^7 + 3/2*A*a^4*b^2*x^10*e^7 + 14/3*B*a^5*b*d*x^9*e^6 + 35/3*A*a^4*b^2*d*x^9*e^6 + 63/4*B*a^5*b*d^2*x^8*e^5 + 315/8*A*a^4*b^2*d^2*x^8*e^5 + 30*B*a^5*b*d^3*x^7*e^4 + 75*A*a^4*b^2*d^3*x^7*e^4 + 35*B*a^5*b*d^4*x^6*e^3 + 175/2*A*a^4*b^2*d^4*x^6*e^3 + 126/5*B*a^5*b*d^5*x^5*e^2 + 63*A*a^4*b^2*d^5*x^5*e^2 + 21/2*B*a^5*b*d^6*x^4*e + 105/4*A*a^4*b^2*d^6*x^4*e + 2*B*a^5*b*d^7*x^3 + 5*A*a^4*b^2*d^7*x^3 + 1/9*B*a^6*x^9*e^7 + 2/3*A*a^5*b*x^9*e^7 + 7/8*B*a^6*d*x^8*e^6 + 21/4*A*a^5*b*d*x^8*e^6 + 3*B*a^6*d^2*x^7*e^5 + 18*A*a^5*b*d^2*x^7*e^5 + 35/6*B*a^6*d^3*x^6*e^4 + 35*A*a^5*b*d^3*x^6*e^4 + 7*B*a^6*d^4*x^5*e^3 + 42*A*a^5*b*d^4*x^5*e^3 + 21/4*B*a^6*d^5*x^4*e^2 + 63/2*A*a^5*b*d^5*x^4*e^2 + 7/3*B*a^6*d^6*x^3*e + 14*A*a^5*b*d^6*x^3*e + 1/2*B*a^6*d^7*x^2 + 3*A*a^5*b*d^7*x^2 + 1/8*A*a^6*x^8*e^7 + A*a^6*d*x^7*e^6 + 7/2*A*a^6*d^2*x^6*e^5 + 7*A*a^6*d^3*x^5*e^4 + 35/4*A*a^6*d^4*x^4*e^3 + 7*A*a^6*d^5*x^3*e^2 + 7/2*A*a^6*d^6*x^2*e + A*a^6*d^7*x","B",0
1053,1,1424,0,1.358690," ","integrate((b*x+a)^6*(B*x+A)*(e*x+d)^6,x, algorithm=""giac"")","\frac{1}{14} \, B b^{6} x^{14} e^{6} + \frac{6}{13} \, B b^{6} d x^{13} e^{5} + \frac{5}{4} \, B b^{6} d^{2} x^{12} e^{4} + \frac{20}{11} \, B b^{6} d^{3} x^{11} e^{3} + \frac{3}{2} \, B b^{6} d^{4} x^{10} e^{2} + \frac{2}{3} \, B b^{6} d^{5} x^{9} e + \frac{1}{8} \, B b^{6} d^{6} x^{8} + \frac{6}{13} \, B a b^{5} x^{13} e^{6} + \frac{1}{13} \, A b^{6} x^{13} e^{6} + 3 \, B a b^{5} d x^{12} e^{5} + \frac{1}{2} \, A b^{6} d x^{12} e^{5} + \frac{90}{11} \, B a b^{5} d^{2} x^{11} e^{4} + \frac{15}{11} \, A b^{6} d^{2} x^{11} e^{4} + 12 \, B a b^{5} d^{3} x^{10} e^{3} + 2 \, A b^{6} d^{3} x^{10} e^{3} + 10 \, B a b^{5} d^{4} x^{9} e^{2} + \frac{5}{3} \, A b^{6} d^{4} x^{9} e^{2} + \frac{9}{2} \, B a b^{5} d^{5} x^{8} e + \frac{3}{4} \, A b^{6} d^{5} x^{8} e + \frac{6}{7} \, B a b^{5} d^{6} x^{7} + \frac{1}{7} \, A b^{6} d^{6} x^{7} + \frac{5}{4} \, B a^{2} b^{4} x^{12} e^{6} + \frac{1}{2} \, A a b^{5} x^{12} e^{6} + \frac{90}{11} \, B a^{2} b^{4} d x^{11} e^{5} + \frac{36}{11} \, A a b^{5} d x^{11} e^{5} + \frac{45}{2} \, B a^{2} b^{4} d^{2} x^{10} e^{4} + 9 \, A a b^{5} d^{2} x^{10} e^{4} + \frac{100}{3} \, B a^{2} b^{4} d^{3} x^{9} e^{3} + \frac{40}{3} \, A a b^{5} d^{3} x^{9} e^{3} + \frac{225}{8} \, B a^{2} b^{4} d^{4} x^{8} e^{2} + \frac{45}{4} \, A a b^{5} d^{4} x^{8} e^{2} + \frac{90}{7} \, B a^{2} b^{4} d^{5} x^{7} e + \frac{36}{7} \, A a b^{5} d^{5} x^{7} e + \frac{5}{2} \, B a^{2} b^{4} d^{6} x^{6} + A a b^{5} d^{6} x^{6} + \frac{20}{11} \, B a^{3} b^{3} x^{11} e^{6} + \frac{15}{11} \, A a^{2} b^{4} x^{11} e^{6} + 12 \, B a^{3} b^{3} d x^{10} e^{5} + 9 \, A a^{2} b^{4} d x^{10} e^{5} + \frac{100}{3} \, B a^{3} b^{3} d^{2} x^{9} e^{4} + 25 \, A a^{2} b^{4} d^{2} x^{9} e^{4} + 50 \, B a^{3} b^{3} d^{3} x^{8} e^{3} + \frac{75}{2} \, A a^{2} b^{4} d^{3} x^{8} e^{3} + \frac{300}{7} \, B a^{3} b^{3} d^{4} x^{7} e^{2} + \frac{225}{7} \, A a^{2} b^{4} d^{4} x^{7} e^{2} + 20 \, B a^{3} b^{3} d^{5} x^{6} e + 15 \, A a^{2} b^{4} d^{5} x^{6} e + 4 \, B a^{3} b^{3} d^{6} x^{5} + 3 \, A a^{2} b^{4} d^{6} x^{5} + \frac{3}{2} \, B a^{4} b^{2} x^{10} e^{6} + 2 \, A a^{3} b^{3} x^{10} e^{6} + 10 \, B a^{4} b^{2} d x^{9} e^{5} + \frac{40}{3} \, A a^{3} b^{3} d x^{9} e^{5} + \frac{225}{8} \, B a^{4} b^{2} d^{2} x^{8} e^{4} + \frac{75}{2} \, A a^{3} b^{3} d^{2} x^{8} e^{4} + \frac{300}{7} \, B a^{4} b^{2} d^{3} x^{7} e^{3} + \frac{400}{7} \, A a^{3} b^{3} d^{3} x^{7} e^{3} + \frac{75}{2} \, B a^{4} b^{2} d^{4} x^{6} e^{2} + 50 \, A a^{3} b^{3} d^{4} x^{6} e^{2} + 18 \, B a^{4} b^{2} d^{5} x^{5} e + 24 \, A a^{3} b^{3} d^{5} x^{5} e + \frac{15}{4} \, B a^{4} b^{2} d^{6} x^{4} + 5 \, A a^{3} b^{3} d^{6} x^{4} + \frac{2}{3} \, B a^{5} b x^{9} e^{6} + \frac{5}{3} \, A a^{4} b^{2} x^{9} e^{6} + \frac{9}{2} \, B a^{5} b d x^{8} e^{5} + \frac{45}{4} \, A a^{4} b^{2} d x^{8} e^{5} + \frac{90}{7} \, B a^{5} b d^{2} x^{7} e^{4} + \frac{225}{7} \, A a^{4} b^{2} d^{2} x^{7} e^{4} + 20 \, B a^{5} b d^{3} x^{6} e^{3} + 50 \, A a^{4} b^{2} d^{3} x^{6} e^{3} + 18 \, B a^{5} b d^{4} x^{5} e^{2} + 45 \, A a^{4} b^{2} d^{4} x^{5} e^{2} + 9 \, B a^{5} b d^{5} x^{4} e + \frac{45}{2} \, A a^{4} b^{2} d^{5} x^{4} e + 2 \, B a^{5} b d^{6} x^{3} + 5 \, A a^{4} b^{2} d^{6} x^{3} + \frac{1}{8} \, B a^{6} x^{8} e^{6} + \frac{3}{4} \, A a^{5} b x^{8} e^{6} + \frac{6}{7} \, B a^{6} d x^{7} e^{5} + \frac{36}{7} \, A a^{5} b d x^{7} e^{5} + \frac{5}{2} \, B a^{6} d^{2} x^{6} e^{4} + 15 \, A a^{5} b d^{2} x^{6} e^{4} + 4 \, B a^{6} d^{3} x^{5} e^{3} + 24 \, A a^{5} b d^{3} x^{5} e^{3} + \frac{15}{4} \, B a^{6} d^{4} x^{4} e^{2} + \frac{45}{2} \, A a^{5} b d^{4} x^{4} e^{2} + 2 \, B a^{6} d^{5} x^{3} e + 12 \, A a^{5} b d^{5} x^{3} e + \frac{1}{2} \, B a^{6} d^{6} x^{2} + 3 \, A a^{5} b d^{6} x^{2} + \frac{1}{7} \, A a^{6} x^{7} e^{6} + A a^{6} d x^{6} e^{5} + 3 \, A a^{6} d^{2} x^{5} e^{4} + 5 \, A a^{6} d^{3} x^{4} e^{3} + 5 \, A a^{6} d^{4} x^{3} e^{2} + 3 \, A a^{6} d^{5} x^{2} e + A a^{6} d^{6} x"," ",0,"1/14*B*b^6*x^14*e^6 + 6/13*B*b^6*d*x^13*e^5 + 5/4*B*b^6*d^2*x^12*e^4 + 20/11*B*b^6*d^3*x^11*e^3 + 3/2*B*b^6*d^4*x^10*e^2 + 2/3*B*b^6*d^5*x^9*e + 1/8*B*b^6*d^6*x^8 + 6/13*B*a*b^5*x^13*e^6 + 1/13*A*b^6*x^13*e^6 + 3*B*a*b^5*d*x^12*e^5 + 1/2*A*b^6*d*x^12*e^5 + 90/11*B*a*b^5*d^2*x^11*e^4 + 15/11*A*b^6*d^2*x^11*e^4 + 12*B*a*b^5*d^3*x^10*e^3 + 2*A*b^6*d^3*x^10*e^3 + 10*B*a*b^5*d^4*x^9*e^2 + 5/3*A*b^6*d^4*x^9*e^2 + 9/2*B*a*b^5*d^5*x^8*e + 3/4*A*b^6*d^5*x^8*e + 6/7*B*a*b^5*d^6*x^7 + 1/7*A*b^6*d^6*x^7 + 5/4*B*a^2*b^4*x^12*e^6 + 1/2*A*a*b^5*x^12*e^6 + 90/11*B*a^2*b^4*d*x^11*e^5 + 36/11*A*a*b^5*d*x^11*e^5 + 45/2*B*a^2*b^4*d^2*x^10*e^4 + 9*A*a*b^5*d^2*x^10*e^4 + 100/3*B*a^2*b^4*d^3*x^9*e^3 + 40/3*A*a*b^5*d^3*x^9*e^3 + 225/8*B*a^2*b^4*d^4*x^8*e^2 + 45/4*A*a*b^5*d^4*x^8*e^2 + 90/7*B*a^2*b^4*d^5*x^7*e + 36/7*A*a*b^5*d^5*x^7*e + 5/2*B*a^2*b^4*d^6*x^6 + A*a*b^5*d^6*x^6 + 20/11*B*a^3*b^3*x^11*e^6 + 15/11*A*a^2*b^4*x^11*e^6 + 12*B*a^3*b^3*d*x^10*e^5 + 9*A*a^2*b^4*d*x^10*e^5 + 100/3*B*a^3*b^3*d^2*x^9*e^4 + 25*A*a^2*b^4*d^2*x^9*e^4 + 50*B*a^3*b^3*d^3*x^8*e^3 + 75/2*A*a^2*b^4*d^3*x^8*e^3 + 300/7*B*a^3*b^3*d^4*x^7*e^2 + 225/7*A*a^2*b^4*d^4*x^7*e^2 + 20*B*a^3*b^3*d^5*x^6*e + 15*A*a^2*b^4*d^5*x^6*e + 4*B*a^3*b^3*d^6*x^5 + 3*A*a^2*b^4*d^6*x^5 + 3/2*B*a^4*b^2*x^10*e^6 + 2*A*a^3*b^3*x^10*e^6 + 10*B*a^4*b^2*d*x^9*e^5 + 40/3*A*a^3*b^3*d*x^9*e^5 + 225/8*B*a^4*b^2*d^2*x^8*e^4 + 75/2*A*a^3*b^3*d^2*x^8*e^4 + 300/7*B*a^4*b^2*d^3*x^7*e^3 + 400/7*A*a^3*b^3*d^3*x^7*e^3 + 75/2*B*a^4*b^2*d^4*x^6*e^2 + 50*A*a^3*b^3*d^4*x^6*e^2 + 18*B*a^4*b^2*d^5*x^5*e + 24*A*a^3*b^3*d^5*x^5*e + 15/4*B*a^4*b^2*d^6*x^4 + 5*A*a^3*b^3*d^6*x^4 + 2/3*B*a^5*b*x^9*e^6 + 5/3*A*a^4*b^2*x^9*e^6 + 9/2*B*a^5*b*d*x^8*e^5 + 45/4*A*a^4*b^2*d*x^8*e^5 + 90/7*B*a^5*b*d^2*x^7*e^4 + 225/7*A*a^4*b^2*d^2*x^7*e^4 + 20*B*a^5*b*d^3*x^6*e^3 + 50*A*a^4*b^2*d^3*x^6*e^3 + 18*B*a^5*b*d^4*x^5*e^2 + 45*A*a^4*b^2*d^4*x^5*e^2 + 9*B*a^5*b*d^5*x^4*e + 45/2*A*a^4*b^2*d^5*x^4*e + 2*B*a^5*b*d^6*x^3 + 5*A*a^4*b^2*d^6*x^3 + 1/8*B*a^6*x^8*e^6 + 3/4*A*a^5*b*x^8*e^6 + 6/7*B*a^6*d*x^7*e^5 + 36/7*A*a^5*b*d*x^7*e^5 + 5/2*B*a^6*d^2*x^6*e^4 + 15*A*a^5*b*d^2*x^6*e^4 + 4*B*a^6*d^3*x^5*e^3 + 24*A*a^5*b*d^3*x^5*e^3 + 15/4*B*a^6*d^4*x^4*e^2 + 45/2*A*a^5*b*d^4*x^4*e^2 + 2*B*a^6*d^5*x^3*e + 12*A*a^5*b*d^5*x^3*e + 1/2*B*a^6*d^6*x^2 + 3*A*a^5*b*d^6*x^2 + 1/7*A*a^6*x^7*e^6 + A*a^6*d*x^6*e^5 + 3*A*a^6*d^2*x^5*e^4 + 5*A*a^6*d^3*x^4*e^3 + 5*A*a^6*d^4*x^3*e^2 + 3*A*a^6*d^5*x^2*e + A*a^6*d^6*x","B",0
1054,1,1204,0,1.235943," ","integrate((b*x+a)^6*(B*x+A)*(e*x+d)^5,x, algorithm=""giac"")","\frac{1}{13} \, B b^{6} x^{13} e^{5} + \frac{5}{12} \, B b^{6} d x^{12} e^{4} + \frac{10}{11} \, B b^{6} d^{2} x^{11} e^{3} + B b^{6} d^{3} x^{10} e^{2} + \frac{5}{9} \, B b^{6} d^{4} x^{9} e + \frac{1}{8} \, B b^{6} d^{5} x^{8} + \frac{1}{2} \, B a b^{5} x^{12} e^{5} + \frac{1}{12} \, A b^{6} x^{12} e^{5} + \frac{30}{11} \, B a b^{5} d x^{11} e^{4} + \frac{5}{11} \, A b^{6} d x^{11} e^{4} + 6 \, B a b^{5} d^{2} x^{10} e^{3} + A b^{6} d^{2} x^{10} e^{3} + \frac{20}{3} \, B a b^{5} d^{3} x^{9} e^{2} + \frac{10}{9} \, A b^{6} d^{3} x^{9} e^{2} + \frac{15}{4} \, B a b^{5} d^{4} x^{8} e + \frac{5}{8} \, A b^{6} d^{4} x^{8} e + \frac{6}{7} \, B a b^{5} d^{5} x^{7} + \frac{1}{7} \, A b^{6} d^{5} x^{7} + \frac{15}{11} \, B a^{2} b^{4} x^{11} e^{5} + \frac{6}{11} \, A a b^{5} x^{11} e^{5} + \frac{15}{2} \, B a^{2} b^{4} d x^{10} e^{4} + 3 \, A a b^{5} d x^{10} e^{4} + \frac{50}{3} \, B a^{2} b^{4} d^{2} x^{9} e^{3} + \frac{20}{3} \, A a b^{5} d^{2} x^{9} e^{3} + \frac{75}{4} \, B a^{2} b^{4} d^{3} x^{8} e^{2} + \frac{15}{2} \, A a b^{5} d^{3} x^{8} e^{2} + \frac{75}{7} \, B a^{2} b^{4} d^{4} x^{7} e + \frac{30}{7} \, A a b^{5} d^{4} x^{7} e + \frac{5}{2} \, B a^{2} b^{4} d^{5} x^{6} + A a b^{5} d^{5} x^{6} + 2 \, B a^{3} b^{3} x^{10} e^{5} + \frac{3}{2} \, A a^{2} b^{4} x^{10} e^{5} + \frac{100}{9} \, B a^{3} b^{3} d x^{9} e^{4} + \frac{25}{3} \, A a^{2} b^{4} d x^{9} e^{4} + 25 \, B a^{3} b^{3} d^{2} x^{8} e^{3} + \frac{75}{4} \, A a^{2} b^{4} d^{2} x^{8} e^{3} + \frac{200}{7} \, B a^{3} b^{3} d^{3} x^{7} e^{2} + \frac{150}{7} \, A a^{2} b^{4} d^{3} x^{7} e^{2} + \frac{50}{3} \, B a^{3} b^{3} d^{4} x^{6} e + \frac{25}{2} \, A a^{2} b^{4} d^{4} x^{6} e + 4 \, B a^{3} b^{3} d^{5} x^{5} + 3 \, A a^{2} b^{4} d^{5} x^{5} + \frac{5}{3} \, B a^{4} b^{2} x^{9} e^{5} + \frac{20}{9} \, A a^{3} b^{3} x^{9} e^{5} + \frac{75}{8} \, B a^{4} b^{2} d x^{8} e^{4} + \frac{25}{2} \, A a^{3} b^{3} d x^{8} e^{4} + \frac{150}{7} \, B a^{4} b^{2} d^{2} x^{7} e^{3} + \frac{200}{7} \, A a^{3} b^{3} d^{2} x^{7} e^{3} + 25 \, B a^{4} b^{2} d^{3} x^{6} e^{2} + \frac{100}{3} \, A a^{3} b^{3} d^{3} x^{6} e^{2} + 15 \, B a^{4} b^{2} d^{4} x^{5} e + 20 \, A a^{3} b^{3} d^{4} x^{5} e + \frac{15}{4} \, B a^{4} b^{2} d^{5} x^{4} + 5 \, A a^{3} b^{3} d^{5} x^{4} + \frac{3}{4} \, B a^{5} b x^{8} e^{5} + \frac{15}{8} \, A a^{4} b^{2} x^{8} e^{5} + \frac{30}{7} \, B a^{5} b d x^{7} e^{4} + \frac{75}{7} \, A a^{4} b^{2} d x^{7} e^{4} + 10 \, B a^{5} b d^{2} x^{6} e^{3} + 25 \, A a^{4} b^{2} d^{2} x^{6} e^{3} + 12 \, B a^{5} b d^{3} x^{5} e^{2} + 30 \, A a^{4} b^{2} d^{3} x^{5} e^{2} + \frac{15}{2} \, B a^{5} b d^{4} x^{4} e + \frac{75}{4} \, A a^{4} b^{2} d^{4} x^{4} e + 2 \, B a^{5} b d^{5} x^{3} + 5 \, A a^{4} b^{2} d^{5} x^{3} + \frac{1}{7} \, B a^{6} x^{7} e^{5} + \frac{6}{7} \, A a^{5} b x^{7} e^{5} + \frac{5}{6} \, B a^{6} d x^{6} e^{4} + 5 \, A a^{5} b d x^{6} e^{4} + 2 \, B a^{6} d^{2} x^{5} e^{3} + 12 \, A a^{5} b d^{2} x^{5} e^{3} + \frac{5}{2} \, B a^{6} d^{3} x^{4} e^{2} + 15 \, A a^{5} b d^{3} x^{4} e^{2} + \frac{5}{3} \, B a^{6} d^{4} x^{3} e + 10 \, A a^{5} b d^{4} x^{3} e + \frac{1}{2} \, B a^{6} d^{5} x^{2} + 3 \, A a^{5} b d^{5} x^{2} + \frac{1}{6} \, A a^{6} x^{6} e^{5} + A a^{6} d x^{5} e^{4} + \frac{5}{2} \, A a^{6} d^{2} x^{4} e^{3} + \frac{10}{3} \, A a^{6} d^{3} x^{3} e^{2} + \frac{5}{2} \, A a^{6} d^{4} x^{2} e + A a^{6} d^{5} x"," ",0,"1/13*B*b^6*x^13*e^5 + 5/12*B*b^6*d*x^12*e^4 + 10/11*B*b^6*d^2*x^11*e^3 + B*b^6*d^3*x^10*e^2 + 5/9*B*b^6*d^4*x^9*e + 1/8*B*b^6*d^5*x^8 + 1/2*B*a*b^5*x^12*e^5 + 1/12*A*b^6*x^12*e^5 + 30/11*B*a*b^5*d*x^11*e^4 + 5/11*A*b^6*d*x^11*e^4 + 6*B*a*b^5*d^2*x^10*e^3 + A*b^6*d^2*x^10*e^3 + 20/3*B*a*b^5*d^3*x^9*e^2 + 10/9*A*b^6*d^3*x^9*e^2 + 15/4*B*a*b^5*d^4*x^8*e + 5/8*A*b^6*d^4*x^8*e + 6/7*B*a*b^5*d^5*x^7 + 1/7*A*b^6*d^5*x^7 + 15/11*B*a^2*b^4*x^11*e^5 + 6/11*A*a*b^5*x^11*e^5 + 15/2*B*a^2*b^4*d*x^10*e^4 + 3*A*a*b^5*d*x^10*e^4 + 50/3*B*a^2*b^4*d^2*x^9*e^3 + 20/3*A*a*b^5*d^2*x^9*e^3 + 75/4*B*a^2*b^4*d^3*x^8*e^2 + 15/2*A*a*b^5*d^3*x^8*e^2 + 75/7*B*a^2*b^4*d^4*x^7*e + 30/7*A*a*b^5*d^4*x^7*e + 5/2*B*a^2*b^4*d^5*x^6 + A*a*b^5*d^5*x^6 + 2*B*a^3*b^3*x^10*e^5 + 3/2*A*a^2*b^4*x^10*e^5 + 100/9*B*a^3*b^3*d*x^9*e^4 + 25/3*A*a^2*b^4*d*x^9*e^4 + 25*B*a^3*b^3*d^2*x^8*e^3 + 75/4*A*a^2*b^4*d^2*x^8*e^3 + 200/7*B*a^3*b^3*d^3*x^7*e^2 + 150/7*A*a^2*b^4*d^3*x^7*e^2 + 50/3*B*a^3*b^3*d^4*x^6*e + 25/2*A*a^2*b^4*d^4*x^6*e + 4*B*a^3*b^3*d^5*x^5 + 3*A*a^2*b^4*d^5*x^5 + 5/3*B*a^4*b^2*x^9*e^5 + 20/9*A*a^3*b^3*x^9*e^5 + 75/8*B*a^4*b^2*d*x^8*e^4 + 25/2*A*a^3*b^3*d*x^8*e^4 + 150/7*B*a^4*b^2*d^2*x^7*e^3 + 200/7*A*a^3*b^3*d^2*x^7*e^3 + 25*B*a^4*b^2*d^3*x^6*e^2 + 100/3*A*a^3*b^3*d^3*x^6*e^2 + 15*B*a^4*b^2*d^4*x^5*e + 20*A*a^3*b^3*d^4*x^5*e + 15/4*B*a^4*b^2*d^5*x^4 + 5*A*a^3*b^3*d^5*x^4 + 3/4*B*a^5*b*x^8*e^5 + 15/8*A*a^4*b^2*x^8*e^5 + 30/7*B*a^5*b*d*x^7*e^4 + 75/7*A*a^4*b^2*d*x^7*e^4 + 10*B*a^5*b*d^2*x^6*e^3 + 25*A*a^4*b^2*d^2*x^6*e^3 + 12*B*a^5*b*d^3*x^5*e^2 + 30*A*a^4*b^2*d^3*x^5*e^2 + 15/2*B*a^5*b*d^4*x^4*e + 75/4*A*a^4*b^2*d^4*x^4*e + 2*B*a^5*b*d^5*x^3 + 5*A*a^4*b^2*d^5*x^3 + 1/7*B*a^6*x^7*e^5 + 6/7*A*a^5*b*x^7*e^5 + 5/6*B*a^6*d*x^6*e^4 + 5*A*a^5*b*d*x^6*e^4 + 2*B*a^6*d^2*x^5*e^3 + 12*A*a^5*b*d^2*x^5*e^3 + 5/2*B*a^6*d^3*x^4*e^2 + 15*A*a^5*b*d^3*x^4*e^2 + 5/3*B*a^6*d^4*x^3*e + 10*A*a^5*b*d^4*x^3*e + 1/2*B*a^6*d^5*x^2 + 3*A*a^5*b*d^5*x^2 + 1/6*A*a^6*x^6*e^5 + A*a^6*d*x^5*e^4 + 5/2*A*a^6*d^2*x^4*e^3 + 10/3*A*a^6*d^3*x^3*e^2 + 5/2*A*a^6*d^4*x^2*e + A*a^6*d^5*x","B",0
1055,1,987,0,1.261262," ","integrate((b*x+a)^6*(B*x+A)*(e*x+d)^4,x, algorithm=""giac"")","\frac{1}{12} \, B b^{6} x^{12} e^{4} + \frac{4}{11} \, B b^{6} d x^{11} e^{3} + \frac{3}{5} \, B b^{6} d^{2} x^{10} e^{2} + \frac{4}{9} \, B b^{6} d^{3} x^{9} e + \frac{1}{8} \, B b^{6} d^{4} x^{8} + \frac{6}{11} \, B a b^{5} x^{11} e^{4} + \frac{1}{11} \, A b^{6} x^{11} e^{4} + \frac{12}{5} \, B a b^{5} d x^{10} e^{3} + \frac{2}{5} \, A b^{6} d x^{10} e^{3} + 4 \, B a b^{5} d^{2} x^{9} e^{2} + \frac{2}{3} \, A b^{6} d^{2} x^{9} e^{2} + 3 \, B a b^{5} d^{3} x^{8} e + \frac{1}{2} \, A b^{6} d^{3} x^{8} e + \frac{6}{7} \, B a b^{5} d^{4} x^{7} + \frac{1}{7} \, A b^{6} d^{4} x^{7} + \frac{3}{2} \, B a^{2} b^{4} x^{10} e^{4} + \frac{3}{5} \, A a b^{5} x^{10} e^{4} + \frac{20}{3} \, B a^{2} b^{4} d x^{9} e^{3} + \frac{8}{3} \, A a b^{5} d x^{9} e^{3} + \frac{45}{4} \, B a^{2} b^{4} d^{2} x^{8} e^{2} + \frac{9}{2} \, A a b^{5} d^{2} x^{8} e^{2} + \frac{60}{7} \, B a^{2} b^{4} d^{3} x^{7} e + \frac{24}{7} \, A a b^{5} d^{3} x^{7} e + \frac{5}{2} \, B a^{2} b^{4} d^{4} x^{6} + A a b^{5} d^{4} x^{6} + \frac{20}{9} \, B a^{3} b^{3} x^{9} e^{4} + \frac{5}{3} \, A a^{2} b^{4} x^{9} e^{4} + 10 \, B a^{3} b^{3} d x^{8} e^{3} + \frac{15}{2} \, A a^{2} b^{4} d x^{8} e^{3} + \frac{120}{7} \, B a^{3} b^{3} d^{2} x^{7} e^{2} + \frac{90}{7} \, A a^{2} b^{4} d^{2} x^{7} e^{2} + \frac{40}{3} \, B a^{3} b^{3} d^{3} x^{6} e + 10 \, A a^{2} b^{4} d^{3} x^{6} e + 4 \, B a^{3} b^{3} d^{4} x^{5} + 3 \, A a^{2} b^{4} d^{4} x^{5} + \frac{15}{8} \, B a^{4} b^{2} x^{8} e^{4} + \frac{5}{2} \, A a^{3} b^{3} x^{8} e^{4} + \frac{60}{7} \, B a^{4} b^{2} d x^{7} e^{3} + \frac{80}{7} \, A a^{3} b^{3} d x^{7} e^{3} + 15 \, B a^{4} b^{2} d^{2} x^{6} e^{2} + 20 \, A a^{3} b^{3} d^{2} x^{6} e^{2} + 12 \, B a^{4} b^{2} d^{3} x^{5} e + 16 \, A a^{3} b^{3} d^{3} x^{5} e + \frac{15}{4} \, B a^{4} b^{2} d^{4} x^{4} + 5 \, A a^{3} b^{3} d^{4} x^{4} + \frac{6}{7} \, B a^{5} b x^{7} e^{4} + \frac{15}{7} \, A a^{4} b^{2} x^{7} e^{4} + 4 \, B a^{5} b d x^{6} e^{3} + 10 \, A a^{4} b^{2} d x^{6} e^{3} + \frac{36}{5} \, B a^{5} b d^{2} x^{5} e^{2} + 18 \, A a^{4} b^{2} d^{2} x^{5} e^{2} + 6 \, B a^{5} b d^{3} x^{4} e + 15 \, A a^{4} b^{2} d^{3} x^{4} e + 2 \, B a^{5} b d^{4} x^{3} + 5 \, A a^{4} b^{2} d^{4} x^{3} + \frac{1}{6} \, B a^{6} x^{6} e^{4} + A a^{5} b x^{6} e^{4} + \frac{4}{5} \, B a^{6} d x^{5} e^{3} + \frac{24}{5} \, A a^{5} b d x^{5} e^{3} + \frac{3}{2} \, B a^{6} d^{2} x^{4} e^{2} + 9 \, A a^{5} b d^{2} x^{4} e^{2} + \frac{4}{3} \, B a^{6} d^{3} x^{3} e + 8 \, A a^{5} b d^{3} x^{3} e + \frac{1}{2} \, B a^{6} d^{4} x^{2} + 3 \, A a^{5} b d^{4} x^{2} + \frac{1}{5} \, A a^{6} x^{5} e^{4} + A a^{6} d x^{4} e^{3} + 2 \, A a^{6} d^{2} x^{3} e^{2} + 2 \, A a^{6} d^{3} x^{2} e + A a^{6} d^{4} x"," ",0,"1/12*B*b^6*x^12*e^4 + 4/11*B*b^6*d*x^11*e^3 + 3/5*B*b^6*d^2*x^10*e^2 + 4/9*B*b^6*d^3*x^9*e + 1/8*B*b^6*d^4*x^8 + 6/11*B*a*b^5*x^11*e^4 + 1/11*A*b^6*x^11*e^4 + 12/5*B*a*b^5*d*x^10*e^3 + 2/5*A*b^6*d*x^10*e^3 + 4*B*a*b^5*d^2*x^9*e^2 + 2/3*A*b^6*d^2*x^9*e^2 + 3*B*a*b^5*d^3*x^8*e + 1/2*A*b^6*d^3*x^8*e + 6/7*B*a*b^5*d^4*x^7 + 1/7*A*b^6*d^4*x^7 + 3/2*B*a^2*b^4*x^10*e^4 + 3/5*A*a*b^5*x^10*e^4 + 20/3*B*a^2*b^4*d*x^9*e^3 + 8/3*A*a*b^5*d*x^9*e^3 + 45/4*B*a^2*b^4*d^2*x^8*e^2 + 9/2*A*a*b^5*d^2*x^8*e^2 + 60/7*B*a^2*b^4*d^3*x^7*e + 24/7*A*a*b^5*d^3*x^7*e + 5/2*B*a^2*b^4*d^4*x^6 + A*a*b^5*d^4*x^6 + 20/9*B*a^3*b^3*x^9*e^4 + 5/3*A*a^2*b^4*x^9*e^4 + 10*B*a^3*b^3*d*x^8*e^3 + 15/2*A*a^2*b^4*d*x^8*e^3 + 120/7*B*a^3*b^3*d^2*x^7*e^2 + 90/7*A*a^2*b^4*d^2*x^7*e^2 + 40/3*B*a^3*b^3*d^3*x^6*e + 10*A*a^2*b^4*d^3*x^6*e + 4*B*a^3*b^3*d^4*x^5 + 3*A*a^2*b^4*d^4*x^5 + 15/8*B*a^4*b^2*x^8*e^4 + 5/2*A*a^3*b^3*x^8*e^4 + 60/7*B*a^4*b^2*d*x^7*e^3 + 80/7*A*a^3*b^3*d*x^7*e^3 + 15*B*a^4*b^2*d^2*x^6*e^2 + 20*A*a^3*b^3*d^2*x^6*e^2 + 12*B*a^4*b^2*d^3*x^5*e + 16*A*a^3*b^3*d^3*x^5*e + 15/4*B*a^4*b^2*d^4*x^4 + 5*A*a^3*b^3*d^4*x^4 + 6/7*B*a^5*b*x^7*e^4 + 15/7*A*a^4*b^2*x^7*e^4 + 4*B*a^5*b*d*x^6*e^3 + 10*A*a^4*b^2*d*x^6*e^3 + 36/5*B*a^5*b*d^2*x^5*e^2 + 18*A*a^4*b^2*d^2*x^5*e^2 + 6*B*a^5*b*d^3*x^4*e + 15*A*a^4*b^2*d^3*x^4*e + 2*B*a^5*b*d^4*x^3 + 5*A*a^4*b^2*d^4*x^3 + 1/6*B*a^6*x^6*e^4 + A*a^5*b*x^6*e^4 + 4/5*B*a^6*d*x^5*e^3 + 24/5*A*a^5*b*d*x^5*e^3 + 3/2*B*a^6*d^2*x^4*e^2 + 9*A*a^5*b*d^2*x^4*e^2 + 4/3*B*a^6*d^3*x^3*e + 8*A*a^5*b*d^3*x^3*e + 1/2*B*a^6*d^4*x^2 + 3*A*a^5*b*d^4*x^2 + 1/5*A*a^6*x^5*e^4 + A*a^6*d*x^4*e^3 + 2*A*a^6*d^2*x^3*e^2 + 2*A*a^6*d^3*x^2*e + A*a^6*d^4*x","B",0
1056,1,768,0,1.215696," ","integrate((b*x+a)^6*(B*x+A)*(e*x+d)^3,x, algorithm=""giac"")","\frac{1}{11} \, B b^{6} x^{11} e^{3} + \frac{3}{10} \, B b^{6} d x^{10} e^{2} + \frac{1}{3} \, B b^{6} d^{2} x^{9} e + \frac{1}{8} \, B b^{6} d^{3} x^{8} + \frac{3}{5} \, B a b^{5} x^{10} e^{3} + \frac{1}{10} \, A b^{6} x^{10} e^{3} + 2 \, B a b^{5} d x^{9} e^{2} + \frac{1}{3} \, A b^{6} d x^{9} e^{2} + \frac{9}{4} \, B a b^{5} d^{2} x^{8} e + \frac{3}{8} \, A b^{6} d^{2} x^{8} e + \frac{6}{7} \, B a b^{5} d^{3} x^{7} + \frac{1}{7} \, A b^{6} d^{3} x^{7} + \frac{5}{3} \, B a^{2} b^{4} x^{9} e^{3} + \frac{2}{3} \, A a b^{5} x^{9} e^{3} + \frac{45}{8} \, B a^{2} b^{4} d x^{8} e^{2} + \frac{9}{4} \, A a b^{5} d x^{8} e^{2} + \frac{45}{7} \, B a^{2} b^{4} d^{2} x^{7} e + \frac{18}{7} \, A a b^{5} d^{2} x^{7} e + \frac{5}{2} \, B a^{2} b^{4} d^{3} x^{6} + A a b^{5} d^{3} x^{6} + \frac{5}{2} \, B a^{3} b^{3} x^{8} e^{3} + \frac{15}{8} \, A a^{2} b^{4} x^{8} e^{3} + \frac{60}{7} \, B a^{3} b^{3} d x^{7} e^{2} + \frac{45}{7} \, A a^{2} b^{4} d x^{7} e^{2} + 10 \, B a^{3} b^{3} d^{2} x^{6} e + \frac{15}{2} \, A a^{2} b^{4} d^{2} x^{6} e + 4 \, B a^{3} b^{3} d^{3} x^{5} + 3 \, A a^{2} b^{4} d^{3} x^{5} + \frac{15}{7} \, B a^{4} b^{2} x^{7} e^{3} + \frac{20}{7} \, A a^{3} b^{3} x^{7} e^{3} + \frac{15}{2} \, B a^{4} b^{2} d x^{6} e^{2} + 10 \, A a^{3} b^{3} d x^{6} e^{2} + 9 \, B a^{4} b^{2} d^{2} x^{5} e + 12 \, A a^{3} b^{3} d^{2} x^{5} e + \frac{15}{4} \, B a^{4} b^{2} d^{3} x^{4} + 5 \, A a^{3} b^{3} d^{3} x^{4} + B a^{5} b x^{6} e^{3} + \frac{5}{2} \, A a^{4} b^{2} x^{6} e^{3} + \frac{18}{5} \, B a^{5} b d x^{5} e^{2} + 9 \, A a^{4} b^{2} d x^{5} e^{2} + \frac{9}{2} \, B a^{5} b d^{2} x^{4} e + \frac{45}{4} \, A a^{4} b^{2} d^{2} x^{4} e + 2 \, B a^{5} b d^{3} x^{3} + 5 \, A a^{4} b^{2} d^{3} x^{3} + \frac{1}{5} \, B a^{6} x^{5} e^{3} + \frac{6}{5} \, A a^{5} b x^{5} e^{3} + \frac{3}{4} \, B a^{6} d x^{4} e^{2} + \frac{9}{2} \, A a^{5} b d x^{4} e^{2} + B a^{6} d^{2} x^{3} e + 6 \, A a^{5} b d^{2} x^{3} e + \frac{1}{2} \, B a^{6} d^{3} x^{2} + 3 \, A a^{5} b d^{3} x^{2} + \frac{1}{4} \, A a^{6} x^{4} e^{3} + A a^{6} d x^{3} e^{2} + \frac{3}{2} \, A a^{6} d^{2} x^{2} e + A a^{6} d^{3} x"," ",0,"1/11*B*b^6*x^11*e^3 + 3/10*B*b^6*d*x^10*e^2 + 1/3*B*b^6*d^2*x^9*e + 1/8*B*b^6*d^3*x^8 + 3/5*B*a*b^5*x^10*e^3 + 1/10*A*b^6*x^10*e^3 + 2*B*a*b^5*d*x^9*e^2 + 1/3*A*b^6*d*x^9*e^2 + 9/4*B*a*b^5*d^2*x^8*e + 3/8*A*b^6*d^2*x^8*e + 6/7*B*a*b^5*d^3*x^7 + 1/7*A*b^6*d^3*x^7 + 5/3*B*a^2*b^4*x^9*e^3 + 2/3*A*a*b^5*x^9*e^3 + 45/8*B*a^2*b^4*d*x^8*e^2 + 9/4*A*a*b^5*d*x^8*e^2 + 45/7*B*a^2*b^4*d^2*x^7*e + 18/7*A*a*b^5*d^2*x^7*e + 5/2*B*a^2*b^4*d^3*x^6 + A*a*b^5*d^3*x^6 + 5/2*B*a^3*b^3*x^8*e^3 + 15/8*A*a^2*b^4*x^8*e^3 + 60/7*B*a^3*b^3*d*x^7*e^2 + 45/7*A*a^2*b^4*d*x^7*e^2 + 10*B*a^3*b^3*d^2*x^6*e + 15/2*A*a^2*b^4*d^2*x^6*e + 4*B*a^3*b^3*d^3*x^5 + 3*A*a^2*b^4*d^3*x^5 + 15/7*B*a^4*b^2*x^7*e^3 + 20/7*A*a^3*b^3*x^7*e^3 + 15/2*B*a^4*b^2*d*x^6*e^2 + 10*A*a^3*b^3*d*x^6*e^2 + 9*B*a^4*b^2*d^2*x^5*e + 12*A*a^3*b^3*d^2*x^5*e + 15/4*B*a^4*b^2*d^3*x^4 + 5*A*a^3*b^3*d^3*x^4 + B*a^5*b*x^6*e^3 + 5/2*A*a^4*b^2*x^6*e^3 + 18/5*B*a^5*b*d*x^5*e^2 + 9*A*a^4*b^2*d*x^5*e^2 + 9/2*B*a^5*b*d^2*x^4*e + 45/4*A*a^4*b^2*d^2*x^4*e + 2*B*a^5*b*d^3*x^3 + 5*A*a^4*b^2*d^3*x^3 + 1/5*B*a^6*x^5*e^3 + 6/5*A*a^5*b*x^5*e^3 + 3/4*B*a^6*d*x^4*e^2 + 9/2*A*a^5*b*d*x^4*e^2 + B*a^6*d^2*x^3*e + 6*A*a^5*b*d^2*x^3*e + 1/2*B*a^6*d^3*x^2 + 3*A*a^5*b*d^3*x^2 + 1/4*A*a^6*x^4*e^3 + A*a^6*d*x^3*e^2 + 3/2*A*a^6*d^2*x^2*e + A*a^6*d^3*x","B",0
1057,1,552,0,1.188813," ","integrate((b*x+a)^6*(B*x+A)*(e*x+d)^2,x, algorithm=""giac"")","\frac{1}{10} \, B b^{6} x^{10} e^{2} + \frac{2}{9} \, B b^{6} d x^{9} e + \frac{1}{8} \, B b^{6} d^{2} x^{8} + \frac{2}{3} \, B a b^{5} x^{9} e^{2} + \frac{1}{9} \, A b^{6} x^{9} e^{2} + \frac{3}{2} \, B a b^{5} d x^{8} e + \frac{1}{4} \, A b^{6} d x^{8} e + \frac{6}{7} \, B a b^{5} d^{2} x^{7} + \frac{1}{7} \, A b^{6} d^{2} x^{7} + \frac{15}{8} \, B a^{2} b^{4} x^{8} e^{2} + \frac{3}{4} \, A a b^{5} x^{8} e^{2} + \frac{30}{7} \, B a^{2} b^{4} d x^{7} e + \frac{12}{7} \, A a b^{5} d x^{7} e + \frac{5}{2} \, B a^{2} b^{4} d^{2} x^{6} + A a b^{5} d^{2} x^{6} + \frac{20}{7} \, B a^{3} b^{3} x^{7} e^{2} + \frac{15}{7} \, A a^{2} b^{4} x^{7} e^{2} + \frac{20}{3} \, B a^{3} b^{3} d x^{6} e + 5 \, A a^{2} b^{4} d x^{6} e + 4 \, B a^{3} b^{3} d^{2} x^{5} + 3 \, A a^{2} b^{4} d^{2} x^{5} + \frac{5}{2} \, B a^{4} b^{2} x^{6} e^{2} + \frac{10}{3} \, A a^{3} b^{3} x^{6} e^{2} + 6 \, B a^{4} b^{2} d x^{5} e + 8 \, A a^{3} b^{3} d x^{5} e + \frac{15}{4} \, B a^{4} b^{2} d^{2} x^{4} + 5 \, A a^{3} b^{3} d^{2} x^{4} + \frac{6}{5} \, B a^{5} b x^{5} e^{2} + 3 \, A a^{4} b^{2} x^{5} e^{2} + 3 \, B a^{5} b d x^{4} e + \frac{15}{2} \, A a^{4} b^{2} d x^{4} e + 2 \, B a^{5} b d^{2} x^{3} + 5 \, A a^{4} b^{2} d^{2} x^{3} + \frac{1}{4} \, B a^{6} x^{4} e^{2} + \frac{3}{2} \, A a^{5} b x^{4} e^{2} + \frac{2}{3} \, B a^{6} d x^{3} e + 4 \, A a^{5} b d x^{3} e + \frac{1}{2} \, B a^{6} d^{2} x^{2} + 3 \, A a^{5} b d^{2} x^{2} + \frac{1}{3} \, A a^{6} x^{3} e^{2} + A a^{6} d x^{2} e + A a^{6} d^{2} x"," ",0,"1/10*B*b^6*x^10*e^2 + 2/9*B*b^6*d*x^9*e + 1/8*B*b^6*d^2*x^8 + 2/3*B*a*b^5*x^9*e^2 + 1/9*A*b^6*x^9*e^2 + 3/2*B*a*b^5*d*x^8*e + 1/4*A*b^6*d*x^8*e + 6/7*B*a*b^5*d^2*x^7 + 1/7*A*b^6*d^2*x^7 + 15/8*B*a^2*b^4*x^8*e^2 + 3/4*A*a*b^5*x^8*e^2 + 30/7*B*a^2*b^4*d*x^7*e + 12/7*A*a*b^5*d*x^7*e + 5/2*B*a^2*b^4*d^2*x^6 + A*a*b^5*d^2*x^6 + 20/7*B*a^3*b^3*x^7*e^2 + 15/7*A*a^2*b^4*x^7*e^2 + 20/3*B*a^3*b^3*d*x^6*e + 5*A*a^2*b^4*d*x^6*e + 4*B*a^3*b^3*d^2*x^5 + 3*A*a^2*b^4*d^2*x^5 + 5/2*B*a^4*b^2*x^6*e^2 + 10/3*A*a^3*b^3*x^6*e^2 + 6*B*a^4*b^2*d*x^5*e + 8*A*a^3*b^3*d*x^5*e + 15/4*B*a^4*b^2*d^2*x^4 + 5*A*a^3*b^3*d^2*x^4 + 6/5*B*a^5*b*x^5*e^2 + 3*A*a^4*b^2*x^5*e^2 + 3*B*a^5*b*d*x^4*e + 15/2*A*a^4*b^2*d*x^4*e + 2*B*a^5*b*d^2*x^3 + 5*A*a^4*b^2*d^2*x^3 + 1/4*B*a^6*x^4*e^2 + 3/2*A*a^5*b*x^4*e^2 + 2/3*B*a^6*d*x^3*e + 4*A*a^5*b*d*x^3*e + 1/2*B*a^6*d^2*x^2 + 3*A*a^5*b*d^2*x^2 + 1/3*A*a^6*x^3*e^2 + A*a^6*d*x^2*e + A*a^6*d^2*x","B",0
1058,1,335,0,1.205211," ","integrate((b*x+a)^6*(B*x+A)*(e*x+d),x, algorithm=""giac"")","\frac{1}{9} \, B b^{6} x^{9} e + \frac{1}{8} \, B b^{6} d x^{8} + \frac{3}{4} \, B a b^{5} x^{8} e + \frac{1}{8} \, A b^{6} x^{8} e + \frac{6}{7} \, B a b^{5} d x^{7} + \frac{1}{7} \, A b^{6} d x^{7} + \frac{15}{7} \, B a^{2} b^{4} x^{7} e + \frac{6}{7} \, A a b^{5} x^{7} e + \frac{5}{2} \, B a^{2} b^{4} d x^{6} + A a b^{5} d x^{6} + \frac{10}{3} \, B a^{3} b^{3} x^{6} e + \frac{5}{2} \, A a^{2} b^{4} x^{6} e + 4 \, B a^{3} b^{3} d x^{5} + 3 \, A a^{2} b^{4} d x^{5} + 3 \, B a^{4} b^{2} x^{5} e + 4 \, A a^{3} b^{3} x^{5} e + \frac{15}{4} \, B a^{4} b^{2} d x^{4} + 5 \, A a^{3} b^{3} d x^{4} + \frac{3}{2} \, B a^{5} b x^{4} e + \frac{15}{4} \, A a^{4} b^{2} x^{4} e + 2 \, B a^{5} b d x^{3} + 5 \, A a^{4} b^{2} d x^{3} + \frac{1}{3} \, B a^{6} x^{3} e + 2 \, A a^{5} b x^{3} e + \frac{1}{2} \, B a^{6} d x^{2} + 3 \, A a^{5} b d x^{2} + \frac{1}{2} \, A a^{6} x^{2} e + A a^{6} d x"," ",0,"1/9*B*b^6*x^9*e + 1/8*B*b^6*d*x^8 + 3/4*B*a*b^5*x^8*e + 1/8*A*b^6*x^8*e + 6/7*B*a*b^5*d*x^7 + 1/7*A*b^6*d*x^7 + 15/7*B*a^2*b^4*x^7*e + 6/7*A*a*b^5*x^7*e + 5/2*B*a^2*b^4*d*x^6 + A*a*b^5*d*x^6 + 10/3*B*a^3*b^3*x^6*e + 5/2*A*a^2*b^4*x^6*e + 4*B*a^3*b^3*d*x^5 + 3*A*a^2*b^4*d*x^5 + 3*B*a^4*b^2*x^5*e + 4*A*a^3*b^3*x^5*e + 15/4*B*a^4*b^2*d*x^4 + 5*A*a^3*b^3*d*x^4 + 3/2*B*a^5*b*x^4*e + 15/4*A*a^4*b^2*x^4*e + 2*B*a^5*b*d*x^3 + 5*A*a^4*b^2*d*x^3 + 1/3*B*a^6*x^3*e + 2*A*a^5*b*x^3*e + 1/2*B*a^6*d*x^2 + 3*A*a^5*b*d*x^2 + 1/2*A*a^6*x^2*e + A*a^6*d*x","B",0
1059,1,145,0,1.181273," ","integrate((b*x+a)^6*(B*x+A),x, algorithm=""giac"")","\frac{1}{8} \, B b^{6} x^{8} + \frac{6}{7} \, B a b^{5} x^{7} + \frac{1}{7} \, A b^{6} x^{7} + \frac{5}{2} \, B a^{2} b^{4} x^{6} + A a b^{5} x^{6} + 4 \, B a^{3} b^{3} x^{5} + 3 \, A a^{2} b^{4} x^{5} + \frac{15}{4} \, B a^{4} b^{2} x^{4} + 5 \, A a^{3} b^{3} x^{4} + 2 \, B a^{5} b x^{3} + 5 \, A a^{4} b^{2} x^{3} + \frac{1}{2} \, B a^{6} x^{2} + 3 \, A a^{5} b x^{2} + A a^{6} x"," ",0,"1/8*B*b^6*x^8 + 6/7*B*a*b^5*x^7 + 1/7*A*b^6*x^7 + 5/2*B*a^2*b^4*x^6 + A*a*b^5*x^6 + 4*B*a^3*b^3*x^5 + 3*A*a^2*b^4*x^5 + 15/4*B*a^4*b^2*x^4 + 5*A*a^3*b^3*x^4 + 2*B*a^5*b*x^3 + 5*A*a^4*b^2*x^3 + 1/2*B*a^6*x^2 + 3*A*a^5*b*x^2 + A*a^6*x","B",0
1060,1,858,0,1.242842," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d),x, algorithm=""giac"")","-{\left(B b^{6} d^{7} - 6 \, B a b^{5} d^{6} e - A b^{6} d^{6} e + 15 \, B a^{2} b^{4} d^{5} e^{2} + 6 \, A a b^{5} d^{5} e^{2} - 20 \, B a^{3} b^{3} d^{4} e^{3} - 15 \, A a^{2} b^{4} d^{4} e^{3} + 15 \, B a^{4} b^{2} d^{3} e^{4} + 20 \, A a^{3} b^{3} d^{3} e^{4} - 6 \, B a^{5} b d^{2} e^{5} - 15 \, A a^{4} b^{2} d^{2} e^{5} + B a^{6} d e^{6} + 6 \, A a^{5} b d e^{6} - A a^{6} e^{7}\right)} e^{\left(-8\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{420} \, {\left(60 \, B b^{6} x^{7} e^{6} - 70 \, B b^{6} d x^{6} e^{5} + 84 \, B b^{6} d^{2} x^{5} e^{4} - 105 \, B b^{6} d^{3} x^{4} e^{3} + 140 \, B b^{6} d^{4} x^{3} e^{2} - 210 \, B b^{6} d^{5} x^{2} e + 420 \, B b^{6} d^{6} x + 420 \, B a b^{5} x^{6} e^{6} + 70 \, A b^{6} x^{6} e^{6} - 504 \, B a b^{5} d x^{5} e^{5} - 84 \, A b^{6} d x^{5} e^{5} + 630 \, B a b^{5} d^{2} x^{4} e^{4} + 105 \, A b^{6} d^{2} x^{4} e^{4} - 840 \, B a b^{5} d^{3} x^{3} e^{3} - 140 \, A b^{6} d^{3} x^{3} e^{3} + 1260 \, B a b^{5} d^{4} x^{2} e^{2} + 210 \, A b^{6} d^{4} x^{2} e^{2} - 2520 \, B a b^{5} d^{5} x e - 420 \, A b^{6} d^{5} x e + 1260 \, B a^{2} b^{4} x^{5} e^{6} + 504 \, A a b^{5} x^{5} e^{6} - 1575 \, B a^{2} b^{4} d x^{4} e^{5} - 630 \, A a b^{5} d x^{4} e^{5} + 2100 \, B a^{2} b^{4} d^{2} x^{3} e^{4} + 840 \, A a b^{5} d^{2} x^{3} e^{4} - 3150 \, B a^{2} b^{4} d^{3} x^{2} e^{3} - 1260 \, A a b^{5} d^{3} x^{2} e^{3} + 6300 \, B a^{2} b^{4} d^{4} x e^{2} + 2520 \, A a b^{5} d^{4} x e^{2} + 2100 \, B a^{3} b^{3} x^{4} e^{6} + 1575 \, A a^{2} b^{4} x^{4} e^{6} - 2800 \, B a^{3} b^{3} d x^{3} e^{5} - 2100 \, A a^{2} b^{4} d x^{3} e^{5} + 4200 \, B a^{3} b^{3} d^{2} x^{2} e^{4} + 3150 \, A a^{2} b^{4} d^{2} x^{2} e^{4} - 8400 \, B a^{3} b^{3} d^{3} x e^{3} - 6300 \, A a^{2} b^{4} d^{3} x e^{3} + 2100 \, B a^{4} b^{2} x^{3} e^{6} + 2800 \, A a^{3} b^{3} x^{3} e^{6} - 3150 \, B a^{4} b^{2} d x^{2} e^{5} - 4200 \, A a^{3} b^{3} d x^{2} e^{5} + 6300 \, B a^{4} b^{2} d^{2} x e^{4} + 8400 \, A a^{3} b^{3} d^{2} x e^{4} + 1260 \, B a^{5} b x^{2} e^{6} + 3150 \, A a^{4} b^{2} x^{2} e^{6} - 2520 \, B a^{5} b d x e^{5} - 6300 \, A a^{4} b^{2} d x e^{5} + 420 \, B a^{6} x e^{6} + 2520 \, A a^{5} b x e^{6}\right)} e^{\left(-7\right)}"," ",0,"-(B*b^6*d^7 - 6*B*a*b^5*d^6*e - A*b^6*d^6*e + 15*B*a^2*b^4*d^5*e^2 + 6*A*a*b^5*d^5*e^2 - 20*B*a^3*b^3*d^4*e^3 - 15*A*a^2*b^4*d^4*e^3 + 15*B*a^4*b^2*d^3*e^4 + 20*A*a^3*b^3*d^3*e^4 - 6*B*a^5*b*d^2*e^5 - 15*A*a^4*b^2*d^2*e^5 + B*a^6*d*e^6 + 6*A*a^5*b*d*e^6 - A*a^6*e^7)*e^(-8)*log(abs(x*e + d)) + 1/420*(60*B*b^6*x^7*e^6 - 70*B*b^6*d*x^6*e^5 + 84*B*b^6*d^2*x^5*e^4 - 105*B*b^6*d^3*x^4*e^3 + 140*B*b^6*d^4*x^3*e^2 - 210*B*b^6*d^5*x^2*e + 420*B*b^6*d^6*x + 420*B*a*b^5*x^6*e^6 + 70*A*b^6*x^6*e^6 - 504*B*a*b^5*d*x^5*e^5 - 84*A*b^6*d*x^5*e^5 + 630*B*a*b^5*d^2*x^4*e^4 + 105*A*b^6*d^2*x^4*e^4 - 840*B*a*b^5*d^3*x^3*e^3 - 140*A*b^6*d^3*x^3*e^3 + 1260*B*a*b^5*d^4*x^2*e^2 + 210*A*b^6*d^4*x^2*e^2 - 2520*B*a*b^5*d^5*x*e - 420*A*b^6*d^5*x*e + 1260*B*a^2*b^4*x^5*e^6 + 504*A*a*b^5*x^5*e^6 - 1575*B*a^2*b^4*d*x^4*e^5 - 630*A*a*b^5*d*x^4*e^5 + 2100*B*a^2*b^4*d^2*x^3*e^4 + 840*A*a*b^5*d^2*x^3*e^4 - 3150*B*a^2*b^4*d^3*x^2*e^3 - 1260*A*a*b^5*d^3*x^2*e^3 + 6300*B*a^2*b^4*d^4*x*e^2 + 2520*A*a*b^5*d^4*x*e^2 + 2100*B*a^3*b^3*x^4*e^6 + 1575*A*a^2*b^4*x^4*e^6 - 2800*B*a^3*b^3*d*x^3*e^5 - 2100*A*a^2*b^4*d*x^3*e^5 + 4200*B*a^3*b^3*d^2*x^2*e^4 + 3150*A*a^2*b^4*d^2*x^2*e^4 - 8400*B*a^3*b^3*d^3*x*e^3 - 6300*A*a^2*b^4*d^3*x*e^3 + 2100*B*a^4*b^2*x^3*e^6 + 2800*A*a^3*b^3*x^3*e^6 - 3150*B*a^4*b^2*d*x^2*e^5 - 4200*A*a^3*b^3*d*x^2*e^5 + 6300*B*a^4*b^2*d^2*x*e^4 + 8400*A*a^3*b^3*d^2*x*e^4 + 1260*B*a^5*b*x^2*e^6 + 3150*A*a^4*b^2*x^2*e^6 - 2520*B*a^5*b*d*x*e^5 - 6300*A*a^4*b^2*d*x*e^5 + 420*B*a^6*x*e^6 + 2520*A*a^5*b*x*e^6)*e^(-7)","B",0
1061,1,936,0,1.245946," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^2,x, algorithm=""giac"")","\frac{1}{60} \, {\left(10 \, B b^{6} - \frac{12 \, {\left(7 \, B b^{6} d e - 6 \, B a b^{5} e^{2} - A b^{6} e^{2}\right)} e^{\left(-1\right)}}{x e + d} + \frac{45 \, {\left(7 \, B b^{6} d^{2} e^{2} - 12 \, B a b^{5} d e^{3} - 2 \, A b^{6} d e^{3} + 5 \, B a^{2} b^{4} e^{4} + 2 \, A a b^{5} e^{4}\right)} e^{\left(-2\right)}}{{\left(x e + d\right)}^{2}} - \frac{100 \, {\left(7 \, B b^{6} d^{3} e^{3} - 18 \, B a b^{5} d^{2} e^{4} - 3 \, A b^{6} d^{2} e^{4} + 15 \, B a^{2} b^{4} d e^{5} + 6 \, A a b^{5} d e^{5} - 4 \, B a^{3} b^{3} e^{6} - 3 \, A a^{2} b^{4} e^{6}\right)} e^{\left(-3\right)}}{{\left(x e + d\right)}^{3}} + \frac{150 \, {\left(7 \, B b^{6} d^{4} e^{4} - 24 \, B a b^{5} d^{3} e^{5} - 4 \, A b^{6} d^{3} e^{5} + 30 \, B a^{2} b^{4} d^{2} e^{6} + 12 \, A a b^{5} d^{2} e^{6} - 16 \, B a^{3} b^{3} d e^{7} - 12 \, A a^{2} b^{4} d e^{7} + 3 \, B a^{4} b^{2} e^{8} + 4 \, A a^{3} b^{3} e^{8}\right)} e^{\left(-4\right)}}{{\left(x e + d\right)}^{4}} - \frac{180 \, {\left(7 \, B b^{6} d^{5} e^{5} - 30 \, B a b^{5} d^{4} e^{6} - 5 \, A b^{6} d^{4} e^{6} + 50 \, B a^{2} b^{4} d^{3} e^{7} + 20 \, A a b^{5} d^{3} e^{7} - 40 \, B a^{3} b^{3} d^{2} e^{8} - 30 \, A a^{2} b^{4} d^{2} e^{8} + 15 \, B a^{4} b^{2} d e^{9} + 20 \, A a^{3} b^{3} d e^{9} - 2 \, B a^{5} b e^{10} - 5 \, A a^{4} b^{2} e^{10}\right)} e^{\left(-5\right)}}{{\left(x e + d\right)}^{5}}\right)} {\left(x e + d\right)}^{6} e^{\left(-8\right)} - {\left(7 \, B b^{6} d^{6} - 36 \, B a b^{5} d^{5} e - 6 \, A b^{6} d^{5} e + 75 \, B a^{2} b^{4} d^{4} e^{2} + 30 \, A a b^{5} d^{4} e^{2} - 80 \, B a^{3} b^{3} d^{3} e^{3} - 60 \, A a^{2} b^{4} d^{3} e^{3} + 45 \, B a^{4} b^{2} d^{2} e^{4} + 60 \, A a^{3} b^{3} d^{2} e^{4} - 12 \, B a^{5} b d e^{5} - 30 \, A a^{4} b^{2} d e^{5} + B a^{6} e^{6} + 6 \, A a^{5} b e^{6}\right)} e^{\left(-8\right)} \log\left(\frac{{\left| x e + d \right|} e^{\left(-1\right)}}{{\left(x e + d\right)}^{2}}\right) + {\left(\frac{B b^{6} d^{7} e^{6}}{x e + d} - \frac{6 \, B a b^{5} d^{6} e^{7}}{x e + d} - \frac{A b^{6} d^{6} e^{7}}{x e + d} + \frac{15 \, B a^{2} b^{4} d^{5} e^{8}}{x e + d} + \frac{6 \, A a b^{5} d^{5} e^{8}}{x e + d} - \frac{20 \, B a^{3} b^{3} d^{4} e^{9}}{x e + d} - \frac{15 \, A a^{2} b^{4} d^{4} e^{9}}{x e + d} + \frac{15 \, B a^{4} b^{2} d^{3} e^{10}}{x e + d} + \frac{20 \, A a^{3} b^{3} d^{3} e^{10}}{x e + d} - \frac{6 \, B a^{5} b d^{2} e^{11}}{x e + d} - \frac{15 \, A a^{4} b^{2} d^{2} e^{11}}{x e + d} + \frac{B a^{6} d e^{12}}{x e + d} + \frac{6 \, A a^{5} b d e^{12}}{x e + d} - \frac{A a^{6} e^{13}}{x e + d}\right)} e^{\left(-14\right)}"," ",0,"1/60*(10*B*b^6 - 12*(7*B*b^6*d*e - 6*B*a*b^5*e^2 - A*b^6*e^2)*e^(-1)/(x*e + d) + 45*(7*B*b^6*d^2*e^2 - 12*B*a*b^5*d*e^3 - 2*A*b^6*d*e^3 + 5*B*a^2*b^4*e^4 + 2*A*a*b^5*e^4)*e^(-2)/(x*e + d)^2 - 100*(7*B*b^6*d^3*e^3 - 18*B*a*b^5*d^2*e^4 - 3*A*b^6*d^2*e^4 + 15*B*a^2*b^4*d*e^5 + 6*A*a*b^5*d*e^5 - 4*B*a^3*b^3*e^6 - 3*A*a^2*b^4*e^6)*e^(-3)/(x*e + d)^3 + 150*(7*B*b^6*d^4*e^4 - 24*B*a*b^5*d^3*e^5 - 4*A*b^6*d^3*e^5 + 30*B*a^2*b^4*d^2*e^6 + 12*A*a*b^5*d^2*e^6 - 16*B*a^3*b^3*d*e^7 - 12*A*a^2*b^4*d*e^7 + 3*B*a^4*b^2*e^8 + 4*A*a^3*b^3*e^8)*e^(-4)/(x*e + d)^4 - 180*(7*B*b^6*d^5*e^5 - 30*B*a*b^5*d^4*e^6 - 5*A*b^6*d^4*e^6 + 50*B*a^2*b^4*d^3*e^7 + 20*A*a*b^5*d^3*e^7 - 40*B*a^3*b^3*d^2*e^8 - 30*A*a^2*b^4*d^2*e^8 + 15*B*a^4*b^2*d*e^9 + 20*A*a^3*b^3*d*e^9 - 2*B*a^5*b*e^10 - 5*A*a^4*b^2*e^10)*e^(-5)/(x*e + d)^5)*(x*e + d)^6*e^(-8) - (7*B*b^6*d^6 - 36*B*a*b^5*d^5*e - 6*A*b^6*d^5*e + 75*B*a^2*b^4*d^4*e^2 + 30*A*a*b^5*d^4*e^2 - 80*B*a^3*b^3*d^3*e^3 - 60*A*a^2*b^4*d^3*e^3 + 45*B*a^4*b^2*d^2*e^4 + 60*A*a^3*b^3*d^2*e^4 - 12*B*a^5*b*d*e^5 - 30*A*a^4*b^2*d*e^5 + B*a^6*e^6 + 6*A*a^5*b*e^6)*e^(-8)*log(abs(x*e + d)*e^(-1)/(x*e + d)^2) + (B*b^6*d^7*e^6/(x*e + d) - 6*B*a*b^5*d^6*e^7/(x*e + d) - A*b^6*d^6*e^7/(x*e + d) + 15*B*a^2*b^4*d^5*e^8/(x*e + d) + 6*A*a*b^5*d^5*e^8/(x*e + d) - 20*B*a^3*b^3*d^4*e^9/(x*e + d) - 15*A*a^2*b^4*d^4*e^9/(x*e + d) + 15*B*a^4*b^2*d^3*e^10/(x*e + d) + 20*A*a^3*b^3*d^3*e^10/(x*e + d) - 6*B*a^5*b*d^2*e^11/(x*e + d) - 15*A*a^4*b^2*d^2*e^11/(x*e + d) + B*a^6*d*e^12/(x*e + d) + 6*A*a^5*b*d*e^12/(x*e + d) - A*a^6*e^13/(x*e + d))*e^(-14)","B",0
1062,1,810,0,1.196742," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^3,x, algorithm=""giac"")","-3 \, {\left(7 \, B b^{6} d^{5} - 30 \, B a b^{5} d^{4} e - 5 \, A b^{6} d^{4} e + 50 \, B a^{2} b^{4} d^{3} e^{2} + 20 \, A a b^{5} d^{3} e^{2} - 40 \, B a^{3} b^{3} d^{2} e^{3} - 30 \, A a^{2} b^{4} d^{2} e^{3} + 15 \, B a^{4} b^{2} d e^{4} + 20 \, A a^{3} b^{3} d e^{4} - 2 \, B a^{5} b e^{5} - 5 \, A a^{4} b^{2} e^{5}\right)} e^{\left(-8\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{20} \, {\left(4 \, B b^{6} x^{5} e^{12} - 15 \, B b^{6} d x^{4} e^{11} + 40 \, B b^{6} d^{2} x^{3} e^{10} - 100 \, B b^{6} d^{3} x^{2} e^{9} + 300 \, B b^{6} d^{4} x e^{8} + 30 \, B a b^{5} x^{4} e^{12} + 5 \, A b^{6} x^{4} e^{12} - 120 \, B a b^{5} d x^{3} e^{11} - 20 \, A b^{6} d x^{3} e^{11} + 360 \, B a b^{5} d^{2} x^{2} e^{10} + 60 \, A b^{6} d^{2} x^{2} e^{10} - 1200 \, B a b^{5} d^{3} x e^{9} - 200 \, A b^{6} d^{3} x e^{9} + 100 \, B a^{2} b^{4} x^{3} e^{12} + 40 \, A a b^{5} x^{3} e^{12} - 450 \, B a^{2} b^{4} d x^{2} e^{11} - 180 \, A a b^{5} d x^{2} e^{11} + 1800 \, B a^{2} b^{4} d^{2} x e^{10} + 720 \, A a b^{5} d^{2} x e^{10} + 200 \, B a^{3} b^{3} x^{2} e^{12} + 150 \, A a^{2} b^{4} x^{2} e^{12} - 1200 \, B a^{3} b^{3} d x e^{11} - 900 \, A a^{2} b^{4} d x e^{11} + 300 \, B a^{4} b^{2} x e^{12} + 400 \, A a^{3} b^{3} x e^{12}\right)} e^{\left(-15\right)} - \frac{{\left(13 \, B b^{6} d^{7} - 66 \, B a b^{5} d^{6} e - 11 \, A b^{6} d^{6} e + 135 \, B a^{2} b^{4} d^{5} e^{2} + 54 \, A a b^{5} d^{5} e^{2} - 140 \, B a^{3} b^{3} d^{4} e^{3} - 105 \, A a^{2} b^{4} d^{4} e^{3} + 75 \, B a^{4} b^{2} d^{3} e^{4} + 100 \, A a^{3} b^{3} d^{3} e^{4} - 18 \, B a^{5} b d^{2} e^{5} - 45 \, A a^{4} b^{2} d^{2} e^{5} + B a^{6} d e^{6} + 6 \, A a^{5} b d e^{6} + A a^{6} e^{7} + 2 \, {\left(7 \, B b^{6} d^{6} e - 36 \, B a b^{5} d^{5} e^{2} - 6 \, A b^{6} d^{5} e^{2} + 75 \, B a^{2} b^{4} d^{4} e^{3} + 30 \, A a b^{5} d^{4} e^{3} - 80 \, B a^{3} b^{3} d^{3} e^{4} - 60 \, A a^{2} b^{4} d^{3} e^{4} + 45 \, B a^{4} b^{2} d^{2} e^{5} + 60 \, A a^{3} b^{3} d^{2} e^{5} - 12 \, B a^{5} b d e^{6} - 30 \, A a^{4} b^{2} d e^{6} + B a^{6} e^{7} + 6 \, A a^{5} b e^{7}\right)} x\right)} e^{\left(-8\right)}}{2 \, {\left(x e + d\right)}^{2}}"," ",0,"-3*(7*B*b^6*d^5 - 30*B*a*b^5*d^4*e - 5*A*b^6*d^4*e + 50*B*a^2*b^4*d^3*e^2 + 20*A*a*b^5*d^3*e^2 - 40*B*a^3*b^3*d^2*e^3 - 30*A*a^2*b^4*d^2*e^3 + 15*B*a^4*b^2*d*e^4 + 20*A*a^3*b^3*d*e^4 - 2*B*a^5*b*e^5 - 5*A*a^4*b^2*e^5)*e^(-8)*log(abs(x*e + d)) + 1/20*(4*B*b^6*x^5*e^12 - 15*B*b^6*d*x^4*e^11 + 40*B*b^6*d^2*x^3*e^10 - 100*B*b^6*d^3*x^2*e^9 + 300*B*b^6*d^4*x*e^8 + 30*B*a*b^5*x^4*e^12 + 5*A*b^6*x^4*e^12 - 120*B*a*b^5*d*x^3*e^11 - 20*A*b^6*d*x^3*e^11 + 360*B*a*b^5*d^2*x^2*e^10 + 60*A*b^6*d^2*x^2*e^10 - 1200*B*a*b^5*d^3*x*e^9 - 200*A*b^6*d^3*x*e^9 + 100*B*a^2*b^4*x^3*e^12 + 40*A*a*b^5*x^3*e^12 - 450*B*a^2*b^4*d*x^2*e^11 - 180*A*a*b^5*d*x^2*e^11 + 1800*B*a^2*b^4*d^2*x*e^10 + 720*A*a*b^5*d^2*x*e^10 + 200*B*a^3*b^3*x^2*e^12 + 150*A*a^2*b^4*x^2*e^12 - 1200*B*a^3*b^3*d*x*e^11 - 900*A*a^2*b^4*d*x*e^11 + 300*B*a^4*b^2*x*e^12 + 400*A*a^3*b^3*x*e^12)*e^(-15) - 1/2*(13*B*b^6*d^7 - 66*B*a*b^5*d^6*e - 11*A*b^6*d^6*e + 135*B*a^2*b^4*d^5*e^2 + 54*A*a*b^5*d^5*e^2 - 140*B*a^3*b^3*d^4*e^3 - 105*A*a^2*b^4*d^4*e^3 + 75*B*a^4*b^2*d^3*e^4 + 100*A*a^3*b^3*d^3*e^4 - 18*B*a^5*b*d^2*e^5 - 45*A*a^4*b^2*d^2*e^5 + B*a^6*d*e^6 + 6*A*a^5*b*d*e^6 + A*a^6*e^7 + 2*(7*B*b^6*d^6*e - 36*B*a*b^5*d^5*e^2 - 6*A*b^6*d^5*e^2 + 75*B*a^2*b^4*d^4*e^3 + 30*A*a*b^5*d^4*e^3 - 80*B*a^3*b^3*d^3*e^4 - 60*A*a^2*b^4*d^3*e^4 + 45*B*a^4*b^2*d^2*e^5 + 60*A*a^3*b^3*d^2*e^5 - 12*B*a^5*b*d*e^6 - 30*A*a^4*b^2*d*e^6 + B*a^6*e^7 + 6*A*a^5*b*e^7)*x)*e^(-8)/(x*e + d)^2","B",0
1063,1,796,0,1.210298," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^4,x, algorithm=""giac"")","5 \, {\left(7 \, B b^{6} d^{4} - 24 \, B a b^{5} d^{3} e - 4 \, A b^{6} d^{3} e + 30 \, B a^{2} b^{4} d^{2} e^{2} + 12 \, A a b^{5} d^{2} e^{2} - 16 \, B a^{3} b^{3} d e^{3} - 12 \, A a^{2} b^{4} d e^{3} + 3 \, B a^{4} b^{2} e^{4} + 4 \, A a^{3} b^{3} e^{4}\right)} e^{\left(-8\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{12} \, {\left(3 \, B b^{6} x^{4} e^{12} - 16 \, B b^{6} d x^{3} e^{11} + 60 \, B b^{6} d^{2} x^{2} e^{10} - 240 \, B b^{6} d^{3} x e^{9} + 24 \, B a b^{5} x^{3} e^{12} + 4 \, A b^{6} x^{3} e^{12} - 144 \, B a b^{5} d x^{2} e^{11} - 24 \, A b^{6} d x^{2} e^{11} + 720 \, B a b^{5} d^{2} x e^{10} + 120 \, A b^{6} d^{2} x e^{10} + 90 \, B a^{2} b^{4} x^{2} e^{12} + 36 \, A a b^{5} x^{2} e^{12} - 720 \, B a^{2} b^{4} d x e^{11} - 288 \, A a b^{5} d x e^{11} + 240 \, B a^{3} b^{3} x e^{12} + 180 \, A a^{2} b^{4} x e^{12}\right)} e^{\left(-16\right)} + \frac{{\left(107 \, B b^{6} d^{7} - 444 \, B a b^{5} d^{6} e - 74 \, A b^{6} d^{6} e + 705 \, B a^{2} b^{4} d^{5} e^{2} + 282 \, A a b^{5} d^{5} e^{2} - 520 \, B a^{3} b^{3} d^{4} e^{3} - 390 \, A a^{2} b^{4} d^{4} e^{3} + 165 \, B a^{4} b^{2} d^{3} e^{4} + 220 \, A a^{3} b^{3} d^{3} e^{4} - 12 \, B a^{5} b d^{2} e^{5} - 30 \, A a^{4} b^{2} d^{2} e^{5} - B a^{6} d e^{6} - 6 \, A a^{5} b d e^{6} - 2 \, A a^{6} e^{7} + 18 \, {\left(7 \, B b^{6} d^{5} e^{2} - 30 \, B a b^{5} d^{4} e^{3} - 5 \, A b^{6} d^{4} e^{3} + 50 \, B a^{2} b^{4} d^{3} e^{4} + 20 \, A a b^{5} d^{3} e^{4} - 40 \, B a^{3} b^{3} d^{2} e^{5} - 30 \, A a^{2} b^{4} d^{2} e^{5} + 15 \, B a^{4} b^{2} d e^{6} + 20 \, A a^{3} b^{3} d e^{6} - 2 \, B a^{5} b e^{7} - 5 \, A a^{4} b^{2} e^{7}\right)} x^{2} + 3 \, {\left(77 \, B b^{6} d^{6} e - 324 \, B a b^{5} d^{5} e^{2} - 54 \, A b^{6} d^{5} e^{2} + 525 \, B a^{2} b^{4} d^{4} e^{3} + 210 \, A a b^{5} d^{4} e^{3} - 400 \, B a^{3} b^{3} d^{3} e^{4} - 300 \, A a^{2} b^{4} d^{3} e^{4} + 135 \, B a^{4} b^{2} d^{2} e^{5} + 180 \, A a^{3} b^{3} d^{2} e^{5} - 12 \, B a^{5} b d e^{6} - 30 \, A a^{4} b^{2} d e^{6} - B a^{6} e^{7} - 6 \, A a^{5} b e^{7}\right)} x\right)} e^{\left(-8\right)}}{6 \, {\left(x e + d\right)}^{3}}"," ",0,"5*(7*B*b^6*d^4 - 24*B*a*b^5*d^3*e - 4*A*b^6*d^3*e + 30*B*a^2*b^4*d^2*e^2 + 12*A*a*b^5*d^2*e^2 - 16*B*a^3*b^3*d*e^3 - 12*A*a^2*b^4*d*e^3 + 3*B*a^4*b^2*e^4 + 4*A*a^3*b^3*e^4)*e^(-8)*log(abs(x*e + d)) + 1/12*(3*B*b^6*x^4*e^12 - 16*B*b^6*d*x^3*e^11 + 60*B*b^6*d^2*x^2*e^10 - 240*B*b^6*d^3*x*e^9 + 24*B*a*b^5*x^3*e^12 + 4*A*b^6*x^3*e^12 - 144*B*a*b^5*d*x^2*e^11 - 24*A*b^6*d*x^2*e^11 + 720*B*a*b^5*d^2*x*e^10 + 120*A*b^6*d^2*x*e^10 + 90*B*a^2*b^4*x^2*e^12 + 36*A*a*b^5*x^2*e^12 - 720*B*a^2*b^4*d*x*e^11 - 288*A*a*b^5*d*x*e^11 + 240*B*a^3*b^3*x*e^12 + 180*A*a^2*b^4*x*e^12)*e^(-16) + 1/6*(107*B*b^6*d^7 - 444*B*a*b^5*d^6*e - 74*A*b^6*d^6*e + 705*B*a^2*b^4*d^5*e^2 + 282*A*a*b^5*d^5*e^2 - 520*B*a^3*b^3*d^4*e^3 - 390*A*a^2*b^4*d^4*e^3 + 165*B*a^4*b^2*d^3*e^4 + 220*A*a^3*b^3*d^3*e^4 - 12*B*a^5*b*d^2*e^5 - 30*A*a^4*b^2*d^2*e^5 - B*a^6*d*e^6 - 6*A*a^5*b*d*e^6 - 2*A*a^6*e^7 + 18*(7*B*b^6*d^5*e^2 - 30*B*a*b^5*d^4*e^3 - 5*A*b^6*d^4*e^3 + 50*B*a^2*b^4*d^3*e^4 + 20*A*a*b^5*d^3*e^4 - 40*B*a^3*b^3*d^2*e^5 - 30*A*a^2*b^4*d^2*e^5 + 15*B*a^4*b^2*d*e^6 + 20*A*a^3*b^3*d*e^6 - 2*B*a^5*b*e^7 - 5*A*a^4*b^2*e^7)*x^2 + 3*(77*B*b^6*d^6*e - 324*B*a*b^5*d^5*e^2 - 54*A*b^6*d^5*e^2 + 525*B*a^2*b^4*d^4*e^3 + 210*A*a*b^5*d^4*e^3 - 400*B*a^3*b^3*d^3*e^4 - 300*A*a^2*b^4*d^3*e^4 + 135*B*a^4*b^2*d^2*e^5 + 180*A*a^3*b^3*d^2*e^5 - 12*B*a^5*b*d*e^6 - 30*A*a^4*b^2*d*e^6 - B*a^6*e^7 - 6*A*a^5*b*e^7)*x)*e^(-8)/(x*e + d)^3","B",0
1064,1,1165,0,1.337470," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^5,x, algorithm=""giac"")","\frac{1}{6} \, {\left(2 \, B b^{6} - \frac{3 \, {\left(7 \, B b^{6} d e - 6 \, B a b^{5} e^{2} - A b^{6} e^{2}\right)} e^{\left(-1\right)}}{x e + d} + \frac{18 \, {\left(7 \, B b^{6} d^{2} e^{2} - 12 \, B a b^{5} d e^{3} - 2 \, A b^{6} d e^{3} + 5 \, B a^{2} b^{4} e^{4} + 2 \, A a b^{5} e^{4}\right)} e^{\left(-2\right)}}{{\left(x e + d\right)}^{2}}\right)} {\left(x e + d\right)}^{3} e^{\left(-8\right)} + 5 \, {\left(7 \, B b^{6} d^{3} - 18 \, B a b^{5} d^{2} e - 3 \, A b^{6} d^{2} e + 15 \, B a^{2} b^{4} d e^{2} + 6 \, A a b^{5} d e^{2} - 4 \, B a^{3} b^{3} e^{3} - 3 \, A a^{2} b^{4} e^{3}\right)} e^{\left(-8\right)} \log\left(\frac{{\left| x e + d \right|} e^{\left(-1\right)}}{{\left(x e + d\right)}^{2}}\right) - \frac{1}{12} \, {\left(\frac{420 \, B b^{6} d^{4} e^{36}}{x e + d} - \frac{126 \, B b^{6} d^{5} e^{36}}{{\left(x e + d\right)}^{2}} + \frac{28 \, B b^{6} d^{6} e^{36}}{{\left(x e + d\right)}^{3}} - \frac{3 \, B b^{6} d^{7} e^{36}}{{\left(x e + d\right)}^{4}} - \frac{1440 \, B a b^{5} d^{3} e^{37}}{x e + d} - \frac{240 \, A b^{6} d^{3} e^{37}}{x e + d} + \frac{540 \, B a b^{5} d^{4} e^{37}}{{\left(x e + d\right)}^{2}} + \frac{90 \, A b^{6} d^{4} e^{37}}{{\left(x e + d\right)}^{2}} - \frac{144 \, B a b^{5} d^{5} e^{37}}{{\left(x e + d\right)}^{3}} - \frac{24 \, A b^{6} d^{5} e^{37}}{{\left(x e + d\right)}^{3}} + \frac{18 \, B a b^{5} d^{6} e^{37}}{{\left(x e + d\right)}^{4}} + \frac{3 \, A b^{6} d^{6} e^{37}}{{\left(x e + d\right)}^{4}} + \frac{1800 \, B a^{2} b^{4} d^{2} e^{38}}{x e + d} + \frac{720 \, A a b^{5} d^{2} e^{38}}{x e + d} - \frac{900 \, B a^{2} b^{4} d^{3} e^{38}}{{\left(x e + d\right)}^{2}} - \frac{360 \, A a b^{5} d^{3} e^{38}}{{\left(x e + d\right)}^{2}} + \frac{300 \, B a^{2} b^{4} d^{4} e^{38}}{{\left(x e + d\right)}^{3}} + \frac{120 \, A a b^{5} d^{4} e^{38}}{{\left(x e + d\right)}^{3}} - \frac{45 \, B a^{2} b^{4} d^{5} e^{38}}{{\left(x e + d\right)}^{4}} - \frac{18 \, A a b^{5} d^{5} e^{38}}{{\left(x e + d\right)}^{4}} - \frac{960 \, B a^{3} b^{3} d e^{39}}{x e + d} - \frac{720 \, A a^{2} b^{4} d e^{39}}{x e + d} + \frac{720 \, B a^{3} b^{3} d^{2} e^{39}}{{\left(x e + d\right)}^{2}} + \frac{540 \, A a^{2} b^{4} d^{2} e^{39}}{{\left(x e + d\right)}^{2}} - \frac{320 \, B a^{3} b^{3} d^{3} e^{39}}{{\left(x e + d\right)}^{3}} - \frac{240 \, A a^{2} b^{4} d^{3} e^{39}}{{\left(x e + d\right)}^{3}} + \frac{60 \, B a^{3} b^{3} d^{4} e^{39}}{{\left(x e + d\right)}^{4}} + \frac{45 \, A a^{2} b^{4} d^{4} e^{39}}{{\left(x e + d\right)}^{4}} + \frac{180 \, B a^{4} b^{2} e^{40}}{x e + d} + \frac{240 \, A a^{3} b^{3} e^{40}}{x e + d} - \frac{270 \, B a^{4} b^{2} d e^{40}}{{\left(x e + d\right)}^{2}} - \frac{360 \, A a^{3} b^{3} d e^{40}}{{\left(x e + d\right)}^{2}} + \frac{180 \, B a^{4} b^{2} d^{2} e^{40}}{{\left(x e + d\right)}^{3}} + \frac{240 \, A a^{3} b^{3} d^{2} e^{40}}{{\left(x e + d\right)}^{3}} - \frac{45 \, B a^{4} b^{2} d^{3} e^{40}}{{\left(x e + d\right)}^{4}} - \frac{60 \, A a^{3} b^{3} d^{3} e^{40}}{{\left(x e + d\right)}^{4}} + \frac{36 \, B a^{5} b e^{41}}{{\left(x e + d\right)}^{2}} + \frac{90 \, A a^{4} b^{2} e^{41}}{{\left(x e + d\right)}^{2}} - \frac{48 \, B a^{5} b d e^{41}}{{\left(x e + d\right)}^{3}} - \frac{120 \, A a^{4} b^{2} d e^{41}}{{\left(x e + d\right)}^{3}} + \frac{18 \, B a^{5} b d^{2} e^{41}}{{\left(x e + d\right)}^{4}} + \frac{45 \, A a^{4} b^{2} d^{2} e^{41}}{{\left(x e + d\right)}^{4}} + \frac{4 \, B a^{6} e^{42}}{{\left(x e + d\right)}^{3}} + \frac{24 \, A a^{5} b e^{42}}{{\left(x e + d\right)}^{3}} - \frac{3 \, B a^{6} d e^{42}}{{\left(x e + d\right)}^{4}} - \frac{18 \, A a^{5} b d e^{42}}{{\left(x e + d\right)}^{4}} + \frac{3 \, A a^{6} e^{43}}{{\left(x e + d\right)}^{4}}\right)} e^{\left(-44\right)}"," ",0,"1/6*(2*B*b^6 - 3*(7*B*b^6*d*e - 6*B*a*b^5*e^2 - A*b^6*e^2)*e^(-1)/(x*e + d) + 18*(7*B*b^6*d^2*e^2 - 12*B*a*b^5*d*e^3 - 2*A*b^6*d*e^3 + 5*B*a^2*b^4*e^4 + 2*A*a*b^5*e^4)*e^(-2)/(x*e + d)^2)*(x*e + d)^3*e^(-8) + 5*(7*B*b^6*d^3 - 18*B*a*b^5*d^2*e - 3*A*b^6*d^2*e + 15*B*a^2*b^4*d*e^2 + 6*A*a*b^5*d*e^2 - 4*B*a^3*b^3*e^3 - 3*A*a^2*b^4*e^3)*e^(-8)*log(abs(x*e + d)*e^(-1)/(x*e + d)^2) - 1/12*(420*B*b^6*d^4*e^36/(x*e + d) - 126*B*b^6*d^5*e^36/(x*e + d)^2 + 28*B*b^6*d^6*e^36/(x*e + d)^3 - 3*B*b^6*d^7*e^36/(x*e + d)^4 - 1440*B*a*b^5*d^3*e^37/(x*e + d) - 240*A*b^6*d^3*e^37/(x*e + d) + 540*B*a*b^5*d^4*e^37/(x*e + d)^2 + 90*A*b^6*d^4*e^37/(x*e + d)^2 - 144*B*a*b^5*d^5*e^37/(x*e + d)^3 - 24*A*b^6*d^5*e^37/(x*e + d)^3 + 18*B*a*b^5*d^6*e^37/(x*e + d)^4 + 3*A*b^6*d^6*e^37/(x*e + d)^4 + 1800*B*a^2*b^4*d^2*e^38/(x*e + d) + 720*A*a*b^5*d^2*e^38/(x*e + d) - 900*B*a^2*b^4*d^3*e^38/(x*e + d)^2 - 360*A*a*b^5*d^3*e^38/(x*e + d)^2 + 300*B*a^2*b^4*d^4*e^38/(x*e + d)^3 + 120*A*a*b^5*d^4*e^38/(x*e + d)^3 - 45*B*a^2*b^4*d^5*e^38/(x*e + d)^4 - 18*A*a*b^5*d^5*e^38/(x*e + d)^4 - 960*B*a^3*b^3*d*e^39/(x*e + d) - 720*A*a^2*b^4*d*e^39/(x*e + d) + 720*B*a^3*b^3*d^2*e^39/(x*e + d)^2 + 540*A*a^2*b^4*d^2*e^39/(x*e + d)^2 - 320*B*a^3*b^3*d^3*e^39/(x*e + d)^3 - 240*A*a^2*b^4*d^3*e^39/(x*e + d)^3 + 60*B*a^3*b^3*d^4*e^39/(x*e + d)^4 + 45*A*a^2*b^4*d^4*e^39/(x*e + d)^4 + 180*B*a^4*b^2*e^40/(x*e + d) + 240*A*a^3*b^3*e^40/(x*e + d) - 270*B*a^4*b^2*d*e^40/(x*e + d)^2 - 360*A*a^3*b^3*d*e^40/(x*e + d)^2 + 180*B*a^4*b^2*d^2*e^40/(x*e + d)^3 + 240*A*a^3*b^3*d^2*e^40/(x*e + d)^3 - 45*B*a^4*b^2*d^3*e^40/(x*e + d)^4 - 60*A*a^3*b^3*d^3*e^40/(x*e + d)^4 + 36*B*a^5*b*e^41/(x*e + d)^2 + 90*A*a^4*b^2*e^41/(x*e + d)^2 - 48*B*a^5*b*d*e^41/(x*e + d)^3 - 120*A*a^4*b^2*d*e^41/(x*e + d)^3 + 18*B*a^5*b*d^2*e^41/(x*e + d)^4 + 45*A*a^4*b^2*d^2*e^41/(x*e + d)^4 + 4*B*a^6*e^42/(x*e + d)^3 + 24*A*a^5*b*e^42/(x*e + d)^3 - 3*B*a^6*d*e^42/(x*e + d)^4 - 18*A*a^5*b*d*e^42/(x*e + d)^4 + 3*A*a^6*e^43/(x*e + d)^4)*e^(-44)","B",0
1065,1,779,0,1.235628," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^6,x, algorithm=""giac"")","3 \, {\left(7 \, B b^{6} d^{2} - 12 \, B a b^{5} d e - 2 \, A b^{6} d e + 5 \, B a^{2} b^{4} e^{2} + 2 \, A a b^{5} e^{2}\right)} e^{\left(-8\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{2} \, {\left(B b^{6} x^{2} e^{6} - 12 \, B b^{6} d x e^{5} + 12 \, B a b^{5} x e^{6} + 2 \, A b^{6} x e^{6}\right)} e^{\left(-12\right)} + \frac{{\left(459 \, B b^{6} d^{7} - 1044 \, B a b^{5} d^{6} e - 174 \, A b^{6} d^{6} e + 685 \, B a^{2} b^{4} d^{5} e^{2} + 274 \, A a b^{5} d^{5} e^{2} - 80 \, B a^{3} b^{3} d^{4} e^{3} - 60 \, A a^{2} b^{4} d^{4} e^{3} - 15 \, B a^{4} b^{2} d^{3} e^{4} - 20 \, A a^{3} b^{3} d^{3} e^{4} - 4 \, B a^{5} b d^{2} e^{5} - 10 \, A a^{4} b^{2} d^{2} e^{5} - B a^{6} d e^{6} - 6 \, A a^{5} b d e^{6} - 4 \, A a^{6} e^{7} + 100 \, {\left(7 \, B b^{6} d^{3} e^{4} - 18 \, B a b^{5} d^{2} e^{5} - 3 \, A b^{6} d^{2} e^{5} + 15 \, B a^{2} b^{4} d e^{6} + 6 \, A a b^{5} d e^{6} - 4 \, B a^{3} b^{3} e^{7} - 3 \, A a^{2} b^{4} e^{7}\right)} x^{4} + 50 \, {\left(49 \, B b^{6} d^{4} e^{3} - 120 \, B a b^{5} d^{3} e^{4} - 20 \, A b^{6} d^{3} e^{4} + 90 \, B a^{2} b^{4} d^{2} e^{5} + 36 \, A a b^{5} d^{2} e^{5} - 16 \, B a^{3} b^{3} d e^{6} - 12 \, A a^{2} b^{4} d e^{6} - 3 \, B a^{4} b^{2} e^{7} - 4 \, A a^{3} b^{3} e^{7}\right)} x^{3} + 10 \, {\left(329 \, B b^{6} d^{5} e^{2} - 780 \, B a b^{5} d^{4} e^{3} - 130 \, A b^{6} d^{4} e^{3} + 550 \, B a^{2} b^{4} d^{3} e^{4} + 220 \, A a b^{5} d^{3} e^{4} - 80 \, B a^{3} b^{3} d^{2} e^{5} - 60 \, A a^{2} b^{4} d^{2} e^{5} - 15 \, B a^{4} b^{2} d e^{6} - 20 \, A a^{3} b^{3} d e^{6} - 4 \, B a^{5} b e^{7} - 10 \, A a^{4} b^{2} e^{7}\right)} x^{2} + 5 \, {\left(399 \, B b^{6} d^{6} e - 924 \, B a b^{5} d^{5} e^{2} - 154 \, A b^{6} d^{5} e^{2} + 625 \, B a^{2} b^{4} d^{4} e^{3} + 250 \, A a b^{5} d^{4} e^{3} - 80 \, B a^{3} b^{3} d^{3} e^{4} - 60 \, A a^{2} b^{4} d^{3} e^{4} - 15 \, B a^{4} b^{2} d^{2} e^{5} - 20 \, A a^{3} b^{3} d^{2} e^{5} - 4 \, B a^{5} b d e^{6} - 10 \, A a^{4} b^{2} d e^{6} - B a^{6} e^{7} - 6 \, A a^{5} b e^{7}\right)} x\right)} e^{\left(-8\right)}}{20 \, {\left(x e + d\right)}^{5}}"," ",0,"3*(7*B*b^6*d^2 - 12*B*a*b^5*d*e - 2*A*b^6*d*e + 5*B*a^2*b^4*e^2 + 2*A*a*b^5*e^2)*e^(-8)*log(abs(x*e + d)) + 1/2*(B*b^6*x^2*e^6 - 12*B*b^6*d*x*e^5 + 12*B*a*b^5*x*e^6 + 2*A*b^6*x*e^6)*e^(-12) + 1/20*(459*B*b^6*d^7 - 1044*B*a*b^5*d^6*e - 174*A*b^6*d^6*e + 685*B*a^2*b^4*d^5*e^2 + 274*A*a*b^5*d^5*e^2 - 80*B*a^3*b^3*d^4*e^3 - 60*A*a^2*b^4*d^4*e^3 - 15*B*a^4*b^2*d^3*e^4 - 20*A*a^3*b^3*d^3*e^4 - 4*B*a^5*b*d^2*e^5 - 10*A*a^4*b^2*d^2*e^5 - B*a^6*d*e^6 - 6*A*a^5*b*d*e^6 - 4*A*a^6*e^7 + 100*(7*B*b^6*d^3*e^4 - 18*B*a*b^5*d^2*e^5 - 3*A*b^6*d^2*e^5 + 15*B*a^2*b^4*d*e^6 + 6*A*a*b^5*d*e^6 - 4*B*a^3*b^3*e^7 - 3*A*a^2*b^4*e^7)*x^4 + 50*(49*B*b^6*d^4*e^3 - 120*B*a*b^5*d^3*e^4 - 20*A*b^6*d^3*e^4 + 90*B*a^2*b^4*d^2*e^5 + 36*A*a*b^5*d^2*e^5 - 16*B*a^3*b^3*d*e^6 - 12*A*a^2*b^4*d*e^6 - 3*B*a^4*b^2*e^7 - 4*A*a^3*b^3*e^7)*x^3 + 10*(329*B*b^6*d^5*e^2 - 780*B*a*b^5*d^4*e^3 - 130*A*b^6*d^4*e^3 + 550*B*a^2*b^4*d^3*e^4 + 220*A*a*b^5*d^3*e^4 - 80*B*a^3*b^3*d^2*e^5 - 60*A*a^2*b^4*d^2*e^5 - 15*B*a^4*b^2*d*e^6 - 20*A*a^3*b^3*d*e^6 - 4*B*a^5*b*e^7 - 10*A*a^4*b^2*e^7)*x^2 + 5*(399*B*b^6*d^6*e - 924*B*a*b^5*d^5*e^2 - 154*A*b^6*d^5*e^2 + 625*B*a^2*b^4*d^4*e^3 + 250*A*a*b^5*d^4*e^3 - 80*B*a^3*b^3*d^3*e^4 - 60*A*a^2*b^4*d^3*e^4 - 15*B*a^4*b^2*d^2*e^5 - 20*A*a^3*b^3*d^2*e^5 - 4*B*a^5*b*d*e^6 - 10*A*a^4*b^2*d*e^6 - B*a^6*e^7 - 6*A*a^5*b*e^7)*x)*e^(-8)/(x*e + d)^5","B",0
1066,1,775,0,1.280018," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^7,x, algorithm=""giac"")","B b^{6} x e^{\left(-7\right)} - {\left(7 \, B b^{6} d - 6 \, B a b^{5} e - A b^{6} e\right)} e^{\left(-8\right)} \log\left({\left| x e + d \right|}\right) - \frac{{\left(669 \, B b^{6} d^{7} - 882 \, B a b^{5} d^{6} e - 147 \, A b^{6} d^{6} e + 150 \, B a^{2} b^{4} d^{5} e^{2} + 60 \, A a b^{5} d^{5} e^{2} + 40 \, B a^{3} b^{3} d^{4} e^{3} + 30 \, A a^{2} b^{4} d^{4} e^{3} + 15 \, B a^{4} b^{2} d^{3} e^{4} + 20 \, A a^{3} b^{3} d^{3} e^{4} + 6 \, B a^{5} b d^{2} e^{5} + 15 \, A a^{4} b^{2} d^{2} e^{5} + 2 \, B a^{6} d e^{6} + 12 \, A a^{5} b d e^{6} + 10 \, A a^{6} e^{7} + 180 \, {\left(7 \, B b^{6} d^{2} e^{5} - 12 \, B a b^{5} d e^{6} - 2 \, A b^{6} d e^{6} + 5 \, B a^{2} b^{4} e^{7} + 2 \, A a b^{5} e^{7}\right)} x^{5} + 150 \, {\left(35 \, B b^{6} d^{3} e^{4} - 54 \, B a b^{5} d^{2} e^{5} - 9 \, A b^{6} d^{2} e^{5} + 15 \, B a^{2} b^{4} d e^{6} + 6 \, A a b^{5} d e^{6} + 4 \, B a^{3} b^{3} e^{7} + 3 \, A a^{2} b^{4} e^{7}\right)} x^{4} + 100 \, {\left(91 \, B b^{6} d^{4} e^{3} - 132 \, B a b^{5} d^{3} e^{4} - 22 \, A b^{6} d^{3} e^{4} + 30 \, B a^{2} b^{4} d^{2} e^{5} + 12 \, A a b^{5} d^{2} e^{5} + 8 \, B a^{3} b^{3} d e^{6} + 6 \, A a^{2} b^{4} d e^{6} + 3 \, B a^{4} b^{2} e^{7} + 4 \, A a^{3} b^{3} e^{7}\right)} x^{3} + 15 \, {\left(539 \, B b^{6} d^{5} e^{2} - 750 \, B a b^{5} d^{4} e^{3} - 125 \, A b^{6} d^{4} e^{3} + 150 \, B a^{2} b^{4} d^{3} e^{4} + 60 \, A a b^{5} d^{3} e^{4} + 40 \, B a^{3} b^{3} d^{2} e^{5} + 30 \, A a^{2} b^{4} d^{2} e^{5} + 15 \, B a^{4} b^{2} d e^{6} + 20 \, A a^{3} b^{3} d e^{6} + 6 \, B a^{5} b e^{7} + 15 \, A a^{4} b^{2} e^{7}\right)} x^{2} + 6 \, {\left(609 \, B b^{6} d^{6} e - 822 \, B a b^{5} d^{5} e^{2} - 137 \, A b^{6} d^{5} e^{2} + 150 \, B a^{2} b^{4} d^{4} e^{3} + 60 \, A a b^{5} d^{4} e^{3} + 40 \, B a^{3} b^{3} d^{3} e^{4} + 30 \, A a^{2} b^{4} d^{3} e^{4} + 15 \, B a^{4} b^{2} d^{2} e^{5} + 20 \, A a^{3} b^{3} d^{2} e^{5} + 6 \, B a^{5} b d e^{6} + 15 \, A a^{4} b^{2} d e^{6} + 2 \, B a^{6} e^{7} + 12 \, A a^{5} b e^{7}\right)} x\right)} e^{\left(-8\right)}}{60 \, {\left(x e + d\right)}^{6}}"," ",0,"B*b^6*x*e^(-7) - (7*B*b^6*d - 6*B*a*b^5*e - A*b^6*e)*e^(-8)*log(abs(x*e + d)) - 1/60*(669*B*b^6*d^7 - 882*B*a*b^5*d^6*e - 147*A*b^6*d^6*e + 150*B*a^2*b^4*d^5*e^2 + 60*A*a*b^5*d^5*e^2 + 40*B*a^3*b^3*d^4*e^3 + 30*A*a^2*b^4*d^4*e^3 + 15*B*a^4*b^2*d^3*e^4 + 20*A*a^3*b^3*d^3*e^4 + 6*B*a^5*b*d^2*e^5 + 15*A*a^4*b^2*d^2*e^5 + 2*B*a^6*d*e^6 + 12*A*a^5*b*d*e^6 + 10*A*a^6*e^7 + 180*(7*B*b^6*d^2*e^5 - 12*B*a*b^5*d*e^6 - 2*A*b^6*d*e^6 + 5*B*a^2*b^4*e^7 + 2*A*a*b^5*e^7)*x^5 + 150*(35*B*b^6*d^3*e^4 - 54*B*a*b^5*d^2*e^5 - 9*A*b^6*d^2*e^5 + 15*B*a^2*b^4*d*e^6 + 6*A*a*b^5*d*e^6 + 4*B*a^3*b^3*e^7 + 3*A*a^2*b^4*e^7)*x^4 + 100*(91*B*b^6*d^4*e^3 - 132*B*a*b^5*d^3*e^4 - 22*A*b^6*d^3*e^4 + 30*B*a^2*b^4*d^2*e^5 + 12*A*a*b^5*d^2*e^5 + 8*B*a^3*b^3*d*e^6 + 6*A*a^2*b^4*d*e^6 + 3*B*a^4*b^2*e^7 + 4*A*a^3*b^3*e^7)*x^3 + 15*(539*B*b^6*d^5*e^2 - 750*B*a*b^5*d^4*e^3 - 125*A*b^6*d^4*e^3 + 150*B*a^2*b^4*d^3*e^4 + 60*A*a*b^5*d^3*e^4 + 40*B*a^3*b^3*d^2*e^5 + 30*A*a^2*b^4*d^2*e^5 + 15*B*a^4*b^2*d*e^6 + 20*A*a^3*b^3*d*e^6 + 6*B*a^5*b*e^7 + 15*A*a^4*b^2*e^7)*x^2 + 6*(609*B*b^6*d^6*e - 822*B*a*b^5*d^5*e^2 - 137*A*b^6*d^5*e^2 + 150*B*a^2*b^4*d^4*e^3 + 60*A*a*b^5*d^4*e^3 + 40*B*a^3*b^3*d^3*e^4 + 30*A*a^2*b^4*d^3*e^4 + 15*B*a^4*b^2*d^2*e^5 + 20*A*a^3*b^3*d^2*e^5 + 6*B*a^5*b*d*e^6 + 15*A*a^4*b^2*d*e^6 + 2*B*a^6*e^7 + 12*A*a^5*b*e^7)*x)*e^(-8)/(x*e + d)^6","B",0
1067,1,779,0,1.208902," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^8,x, algorithm=""giac"")","B b^{6} e^{\left(-8\right)} \log\left({\left| x e + d \right|}\right) + \frac{{\left(420 \, {\left(7 \, B b^{6} d e^{5} - 6 \, B a b^{5} e^{6} - A b^{6} e^{6}\right)} x^{6} + 630 \, {\left(21 \, B b^{6} d^{2} e^{4} - 12 \, B a b^{5} d e^{5} - 2 \, A b^{6} d e^{5} - 5 \, B a^{2} b^{4} e^{6} - 2 \, A a b^{5} e^{6}\right)} x^{5} + 350 \, {\left(77 \, B b^{6} d^{3} e^{3} - 36 \, B a b^{5} d^{2} e^{4} - 6 \, A b^{6} d^{2} e^{4} - 15 \, B a^{2} b^{4} d e^{5} - 6 \, A a b^{5} d e^{5} - 8 \, B a^{3} b^{3} e^{6} - 6 \, A a^{2} b^{4} e^{6}\right)} x^{4} + 175 \, {\left(175 \, B b^{6} d^{4} e^{2} - 72 \, B a b^{5} d^{3} e^{3} - 12 \, A b^{6} d^{3} e^{3} - 30 \, B a^{2} b^{4} d^{2} e^{4} - 12 \, A a b^{5} d^{2} e^{4} - 16 \, B a^{3} b^{3} d e^{5} - 12 \, A a^{2} b^{4} d e^{5} - 9 \, B a^{4} b^{2} e^{6} - 12 \, A a^{3} b^{3} e^{6}\right)} x^{3} + 21 \, {\left(959 \, B b^{6} d^{5} e - 360 \, B a b^{5} d^{4} e^{2} - 60 \, A b^{6} d^{4} e^{2} - 150 \, B a^{2} b^{4} d^{3} e^{3} - 60 \, A a b^{5} d^{3} e^{3} - 80 \, B a^{3} b^{3} d^{2} e^{4} - 60 \, A a^{2} b^{4} d^{2} e^{4} - 45 \, B a^{4} b^{2} d e^{5} - 60 \, A a^{3} b^{3} d e^{5} - 24 \, B a^{5} b e^{6} - 60 \, A a^{4} b^{2} e^{6}\right)} x^{2} + 7 \, {\left(1029 \, B b^{6} d^{6} - 360 \, B a b^{5} d^{5} e - 60 \, A b^{6} d^{5} e - 150 \, B a^{2} b^{4} d^{4} e^{2} - 60 \, A a b^{5} d^{4} e^{2} - 80 \, B a^{3} b^{3} d^{3} e^{3} - 60 \, A a^{2} b^{4} d^{3} e^{3} - 45 \, B a^{4} b^{2} d^{2} e^{4} - 60 \, A a^{3} b^{3} d^{2} e^{4} - 24 \, B a^{5} b d e^{5} - 60 \, A a^{4} b^{2} d e^{5} - 10 \, B a^{6} e^{6} - 60 \, A a^{5} b e^{6}\right)} x + {\left(1089 \, B b^{6} d^{7} - 360 \, B a b^{5} d^{6} e - 60 \, A b^{6} d^{6} e - 150 \, B a^{2} b^{4} d^{5} e^{2} - 60 \, A a b^{5} d^{5} e^{2} - 80 \, B a^{3} b^{3} d^{4} e^{3} - 60 \, A a^{2} b^{4} d^{4} e^{3} - 45 \, B a^{4} b^{2} d^{3} e^{4} - 60 \, A a^{3} b^{3} d^{3} e^{4} - 24 \, B a^{5} b d^{2} e^{5} - 60 \, A a^{4} b^{2} d^{2} e^{5} - 10 \, B a^{6} d e^{6} - 60 \, A a^{5} b d e^{6} - 60 \, A a^{6} e^{7}\right)} e^{\left(-1\right)}\right)} e^{\left(-7\right)}}{420 \, {\left(x e + d\right)}^{7}}"," ",0,"B*b^6*e^(-8)*log(abs(x*e + d)) + 1/420*(420*(7*B*b^6*d*e^5 - 6*B*a*b^5*e^6 - A*b^6*e^6)*x^6 + 630*(21*B*b^6*d^2*e^4 - 12*B*a*b^5*d*e^5 - 2*A*b^6*d*e^5 - 5*B*a^2*b^4*e^6 - 2*A*a*b^5*e^6)*x^5 + 350*(77*B*b^6*d^3*e^3 - 36*B*a*b^5*d^2*e^4 - 6*A*b^6*d^2*e^4 - 15*B*a^2*b^4*d*e^5 - 6*A*a*b^5*d*e^5 - 8*B*a^3*b^3*e^6 - 6*A*a^2*b^4*e^6)*x^4 + 175*(175*B*b^6*d^4*e^2 - 72*B*a*b^5*d^3*e^3 - 12*A*b^6*d^3*e^3 - 30*B*a^2*b^4*d^2*e^4 - 12*A*a*b^5*d^2*e^4 - 16*B*a^3*b^3*d*e^5 - 12*A*a^2*b^4*d*e^5 - 9*B*a^4*b^2*e^6 - 12*A*a^3*b^3*e^6)*x^3 + 21*(959*B*b^6*d^5*e - 360*B*a*b^5*d^4*e^2 - 60*A*b^6*d^4*e^2 - 150*B*a^2*b^4*d^3*e^3 - 60*A*a*b^5*d^3*e^3 - 80*B*a^3*b^3*d^2*e^4 - 60*A*a^2*b^4*d^2*e^4 - 45*B*a^4*b^2*d*e^5 - 60*A*a^3*b^3*d*e^5 - 24*B*a^5*b*e^6 - 60*A*a^4*b^2*e^6)*x^2 + 7*(1029*B*b^6*d^6 - 360*B*a*b^5*d^5*e - 60*A*b^6*d^5*e - 150*B*a^2*b^4*d^4*e^2 - 60*A*a*b^5*d^4*e^2 - 80*B*a^3*b^3*d^3*e^3 - 60*A*a^2*b^4*d^3*e^3 - 45*B*a^4*b^2*d^2*e^4 - 60*A*a^3*b^3*d^2*e^4 - 24*B*a^5*b*d*e^5 - 60*A*a^4*b^2*d*e^5 - 10*B*a^6*e^6 - 60*A*a^5*b*e^6)*x + (1089*B*b^6*d^7 - 360*B*a*b^5*d^6*e - 60*A*b^6*d^6*e - 150*B*a^2*b^4*d^5*e^2 - 60*A*a*b^5*d^5*e^2 - 80*B*a^3*b^3*d^4*e^3 - 60*A*a^2*b^4*d^4*e^3 - 45*B*a^4*b^2*d^3*e^4 - 60*A*a^3*b^3*d^3*e^4 - 24*B*a^5*b*d^2*e^5 - 60*A*a^4*b^2*d^2*e^5 - 10*B*a^6*d*e^6 - 60*A*a^5*b*d*e^6 - 60*A*a^6*e^7)*e^(-1))*e^(-7)/(x*e + d)^7","B",0
1068,1,854,0,1.160624," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^9,x, algorithm=""giac"")","-\frac{{\left(56 \, B b^{6} x^{7} e^{7} + 196 \, B b^{6} d x^{6} e^{6} + 392 \, B b^{6} d^{2} x^{5} e^{5} + 490 \, B b^{6} d^{3} x^{4} e^{4} + 392 \, B b^{6} d^{4} x^{3} e^{3} + 196 \, B b^{6} d^{5} x^{2} e^{2} + 56 \, B b^{6} d^{6} x e + 7 \, B b^{6} d^{7} + 168 \, B a b^{5} x^{6} e^{7} + 28 \, A b^{6} x^{6} e^{7} + 336 \, B a b^{5} d x^{5} e^{6} + 56 \, A b^{6} d x^{5} e^{6} + 420 \, B a b^{5} d^{2} x^{4} e^{5} + 70 \, A b^{6} d^{2} x^{4} e^{5} + 336 \, B a b^{5} d^{3} x^{3} e^{4} + 56 \, A b^{6} d^{3} x^{3} e^{4} + 168 \, B a b^{5} d^{4} x^{2} e^{3} + 28 \, A b^{6} d^{4} x^{2} e^{3} + 48 \, B a b^{5} d^{5} x e^{2} + 8 \, A b^{6} d^{5} x e^{2} + 6 \, B a b^{5} d^{6} e + A b^{6} d^{6} e + 280 \, B a^{2} b^{4} x^{5} e^{7} + 112 \, A a b^{5} x^{5} e^{7} + 350 \, B a^{2} b^{4} d x^{4} e^{6} + 140 \, A a b^{5} d x^{4} e^{6} + 280 \, B a^{2} b^{4} d^{2} x^{3} e^{5} + 112 \, A a b^{5} d^{2} x^{3} e^{5} + 140 \, B a^{2} b^{4} d^{3} x^{2} e^{4} + 56 \, A a b^{5} d^{3} x^{2} e^{4} + 40 \, B a^{2} b^{4} d^{4} x e^{3} + 16 \, A a b^{5} d^{4} x e^{3} + 5 \, B a^{2} b^{4} d^{5} e^{2} + 2 \, A a b^{5} d^{5} e^{2} + 280 \, B a^{3} b^{3} x^{4} e^{7} + 210 \, A a^{2} b^{4} x^{4} e^{7} + 224 \, B a^{3} b^{3} d x^{3} e^{6} + 168 \, A a^{2} b^{4} d x^{3} e^{6} + 112 \, B a^{3} b^{3} d^{2} x^{2} e^{5} + 84 \, A a^{2} b^{4} d^{2} x^{2} e^{5} + 32 \, B a^{3} b^{3} d^{3} x e^{4} + 24 \, A a^{2} b^{4} d^{3} x e^{4} + 4 \, B a^{3} b^{3} d^{4} e^{3} + 3 \, A a^{2} b^{4} d^{4} e^{3} + 168 \, B a^{4} b^{2} x^{3} e^{7} + 224 \, A a^{3} b^{3} x^{3} e^{7} + 84 \, B a^{4} b^{2} d x^{2} e^{6} + 112 \, A a^{3} b^{3} d x^{2} e^{6} + 24 \, B a^{4} b^{2} d^{2} x e^{5} + 32 \, A a^{3} b^{3} d^{2} x e^{5} + 3 \, B a^{4} b^{2} d^{3} e^{4} + 4 \, A a^{3} b^{3} d^{3} e^{4} + 56 \, B a^{5} b x^{2} e^{7} + 140 \, A a^{4} b^{2} x^{2} e^{7} + 16 \, B a^{5} b d x e^{6} + 40 \, A a^{4} b^{2} d x e^{6} + 2 \, B a^{5} b d^{2} e^{5} + 5 \, A a^{4} b^{2} d^{2} e^{5} + 8 \, B a^{6} x e^{7} + 48 \, A a^{5} b x e^{7} + B a^{6} d e^{6} + 6 \, A a^{5} b d e^{6} + 7 \, A a^{6} e^{7}\right)} e^{\left(-8\right)}}{56 \, {\left(x e + d\right)}^{8}}"," ",0,"-1/56*(56*B*b^6*x^7*e^7 + 196*B*b^6*d*x^6*e^6 + 392*B*b^6*d^2*x^5*e^5 + 490*B*b^6*d^3*x^4*e^4 + 392*B*b^6*d^4*x^3*e^3 + 196*B*b^6*d^5*x^2*e^2 + 56*B*b^6*d^6*x*e + 7*B*b^6*d^7 + 168*B*a*b^5*x^6*e^7 + 28*A*b^6*x^6*e^7 + 336*B*a*b^5*d*x^5*e^6 + 56*A*b^6*d*x^5*e^6 + 420*B*a*b^5*d^2*x^4*e^5 + 70*A*b^6*d^2*x^4*e^5 + 336*B*a*b^5*d^3*x^3*e^4 + 56*A*b^6*d^3*x^3*e^4 + 168*B*a*b^5*d^4*x^2*e^3 + 28*A*b^6*d^4*x^2*e^3 + 48*B*a*b^5*d^5*x*e^2 + 8*A*b^6*d^5*x*e^2 + 6*B*a*b^5*d^6*e + A*b^6*d^6*e + 280*B*a^2*b^4*x^5*e^7 + 112*A*a*b^5*x^5*e^7 + 350*B*a^2*b^4*d*x^4*e^6 + 140*A*a*b^5*d*x^4*e^6 + 280*B*a^2*b^4*d^2*x^3*e^5 + 112*A*a*b^5*d^2*x^3*e^5 + 140*B*a^2*b^4*d^3*x^2*e^4 + 56*A*a*b^5*d^3*x^2*e^4 + 40*B*a^2*b^4*d^4*x*e^3 + 16*A*a*b^5*d^4*x*e^3 + 5*B*a^2*b^4*d^5*e^2 + 2*A*a*b^5*d^5*e^2 + 280*B*a^3*b^3*x^4*e^7 + 210*A*a^2*b^4*x^4*e^7 + 224*B*a^3*b^3*d*x^3*e^6 + 168*A*a^2*b^4*d*x^3*e^6 + 112*B*a^3*b^3*d^2*x^2*e^5 + 84*A*a^2*b^4*d^2*x^2*e^5 + 32*B*a^3*b^3*d^3*x*e^4 + 24*A*a^2*b^4*d^3*x*e^4 + 4*B*a^3*b^3*d^4*e^3 + 3*A*a^2*b^4*d^4*e^3 + 168*B*a^4*b^2*x^3*e^7 + 224*A*a^3*b^3*x^3*e^7 + 84*B*a^4*b^2*d*x^2*e^6 + 112*A*a^3*b^3*d*x^2*e^6 + 24*B*a^4*b^2*d^2*x*e^5 + 32*A*a^3*b^3*d^2*x*e^5 + 3*B*a^4*b^2*d^3*e^4 + 4*A*a^3*b^3*d^3*e^4 + 56*B*a^5*b*x^2*e^7 + 140*A*a^4*b^2*x^2*e^7 + 16*B*a^5*b*d*x*e^6 + 40*A*a^4*b^2*d*x*e^6 + 2*B*a^5*b*d^2*e^5 + 5*A*a^4*b^2*d^2*e^5 + 8*B*a^6*x*e^7 + 48*A*a^5*b*x*e^7 + B*a^6*d*e^6 + 6*A*a^5*b*d*e^6 + 7*A*a^6*e^7)*e^(-8)/(x*e + d)^8","B",0
1069,1,856,0,1.222513," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^10,x, algorithm=""giac"")","-\frac{{\left(252 \, B b^{6} x^{7} e^{7} + 588 \, B b^{6} d x^{6} e^{6} + 882 \, B b^{6} d^{2} x^{5} e^{5} + 882 \, B b^{6} d^{3} x^{4} e^{4} + 588 \, B b^{6} d^{4} x^{3} e^{3} + 252 \, B b^{6} d^{5} x^{2} e^{2} + 63 \, B b^{6} d^{6} x e + 7 \, B b^{6} d^{7} + 1008 \, B a b^{5} x^{6} e^{7} + 168 \, A b^{6} x^{6} e^{7} + 1512 \, B a b^{5} d x^{5} e^{6} + 252 \, A b^{6} d x^{5} e^{6} + 1512 \, B a b^{5} d^{2} x^{4} e^{5} + 252 \, A b^{6} d^{2} x^{4} e^{5} + 1008 \, B a b^{5} d^{3} x^{3} e^{4} + 168 \, A b^{6} d^{3} x^{3} e^{4} + 432 \, B a b^{5} d^{4} x^{2} e^{3} + 72 \, A b^{6} d^{4} x^{2} e^{3} + 108 \, B a b^{5} d^{5} x e^{2} + 18 \, A b^{6} d^{5} x e^{2} + 12 \, B a b^{5} d^{6} e + 2 \, A b^{6} d^{6} e + 1890 \, B a^{2} b^{4} x^{5} e^{7} + 756 \, A a b^{5} x^{5} e^{7} + 1890 \, B a^{2} b^{4} d x^{4} e^{6} + 756 \, A a b^{5} d x^{4} e^{6} + 1260 \, B a^{2} b^{4} d^{2} x^{3} e^{5} + 504 \, A a b^{5} d^{2} x^{3} e^{5} + 540 \, B a^{2} b^{4} d^{3} x^{2} e^{4} + 216 \, A a b^{5} d^{3} x^{2} e^{4} + 135 \, B a^{2} b^{4} d^{4} x e^{3} + 54 \, A a b^{5} d^{4} x e^{3} + 15 \, B a^{2} b^{4} d^{5} e^{2} + 6 \, A a b^{5} d^{5} e^{2} + 2016 \, B a^{3} b^{3} x^{4} e^{7} + 1512 \, A a^{2} b^{4} x^{4} e^{7} + 1344 \, B a^{3} b^{3} d x^{3} e^{6} + 1008 \, A a^{2} b^{4} d x^{3} e^{6} + 576 \, B a^{3} b^{3} d^{2} x^{2} e^{5} + 432 \, A a^{2} b^{4} d^{2} x^{2} e^{5} + 144 \, B a^{3} b^{3} d^{3} x e^{4} + 108 \, A a^{2} b^{4} d^{3} x e^{4} + 16 \, B a^{3} b^{3} d^{4} e^{3} + 12 \, A a^{2} b^{4} d^{4} e^{3} + 1260 \, B a^{4} b^{2} x^{3} e^{7} + 1680 \, A a^{3} b^{3} x^{3} e^{7} + 540 \, B a^{4} b^{2} d x^{2} e^{6} + 720 \, A a^{3} b^{3} d x^{2} e^{6} + 135 \, B a^{4} b^{2} d^{2} x e^{5} + 180 \, A a^{3} b^{3} d^{2} x e^{5} + 15 \, B a^{4} b^{2} d^{3} e^{4} + 20 \, A a^{3} b^{3} d^{3} e^{4} + 432 \, B a^{5} b x^{2} e^{7} + 1080 \, A a^{4} b^{2} x^{2} e^{7} + 108 \, B a^{5} b d x e^{6} + 270 \, A a^{4} b^{2} d x e^{6} + 12 \, B a^{5} b d^{2} e^{5} + 30 \, A a^{4} b^{2} d^{2} e^{5} + 63 \, B a^{6} x e^{7} + 378 \, A a^{5} b x e^{7} + 7 \, B a^{6} d e^{6} + 42 \, A a^{5} b d e^{6} + 56 \, A a^{6} e^{7}\right)} e^{\left(-8\right)}}{504 \, {\left(x e + d\right)}^{9}}"," ",0,"-1/504*(252*B*b^6*x^7*e^7 + 588*B*b^6*d*x^6*e^6 + 882*B*b^6*d^2*x^5*e^5 + 882*B*b^6*d^3*x^4*e^4 + 588*B*b^6*d^4*x^3*e^3 + 252*B*b^6*d^5*x^2*e^2 + 63*B*b^6*d^6*x*e + 7*B*b^6*d^7 + 1008*B*a*b^5*x^6*e^7 + 168*A*b^6*x^6*e^7 + 1512*B*a*b^5*d*x^5*e^6 + 252*A*b^6*d*x^5*e^6 + 1512*B*a*b^5*d^2*x^4*e^5 + 252*A*b^6*d^2*x^4*e^5 + 1008*B*a*b^5*d^3*x^3*e^4 + 168*A*b^6*d^3*x^3*e^4 + 432*B*a*b^5*d^4*x^2*e^3 + 72*A*b^6*d^4*x^2*e^3 + 108*B*a*b^5*d^5*x*e^2 + 18*A*b^6*d^5*x*e^2 + 12*B*a*b^5*d^6*e + 2*A*b^6*d^6*e + 1890*B*a^2*b^4*x^5*e^7 + 756*A*a*b^5*x^5*e^7 + 1890*B*a^2*b^4*d*x^4*e^6 + 756*A*a*b^5*d*x^4*e^6 + 1260*B*a^2*b^4*d^2*x^3*e^5 + 504*A*a*b^5*d^2*x^3*e^5 + 540*B*a^2*b^4*d^3*x^2*e^4 + 216*A*a*b^5*d^3*x^2*e^4 + 135*B*a^2*b^4*d^4*x*e^3 + 54*A*a*b^5*d^4*x*e^3 + 15*B*a^2*b^4*d^5*e^2 + 6*A*a*b^5*d^5*e^2 + 2016*B*a^3*b^3*x^4*e^7 + 1512*A*a^2*b^4*x^4*e^7 + 1344*B*a^3*b^3*d*x^3*e^6 + 1008*A*a^2*b^4*d*x^3*e^6 + 576*B*a^3*b^3*d^2*x^2*e^5 + 432*A*a^2*b^4*d^2*x^2*e^5 + 144*B*a^3*b^3*d^3*x*e^4 + 108*A*a^2*b^4*d^3*x*e^4 + 16*B*a^3*b^3*d^4*e^3 + 12*A*a^2*b^4*d^4*e^3 + 1260*B*a^4*b^2*x^3*e^7 + 1680*A*a^3*b^3*x^3*e^7 + 540*B*a^4*b^2*d*x^2*e^6 + 720*A*a^3*b^3*d*x^2*e^6 + 135*B*a^4*b^2*d^2*x*e^5 + 180*A*a^3*b^3*d^2*x*e^5 + 15*B*a^4*b^2*d^3*e^4 + 20*A*a^3*b^3*d^3*e^4 + 432*B*a^5*b*x^2*e^7 + 1080*A*a^4*b^2*x^2*e^7 + 108*B*a^5*b*d*x*e^6 + 270*A*a^4*b^2*d*x*e^6 + 12*B*a^5*b*d^2*e^5 + 30*A*a^4*b^2*d^2*e^5 + 63*B*a^6*x*e^7 + 378*A*a^5*b*x*e^7 + 7*B*a^6*d*e^6 + 42*A*a^5*b*d*e^6 + 56*A*a^6*e^7)*e^(-8)/(x*e + d)^9","B",0
1070,1,856,0,1.255761," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^11,x, algorithm=""giac"")","-\frac{{\left(840 \, B b^{6} x^{7} e^{7} + 1470 \, B b^{6} d x^{6} e^{6} + 1764 \, B b^{6} d^{2} x^{5} e^{5} + 1470 \, B b^{6} d^{3} x^{4} e^{4} + 840 \, B b^{6} d^{4} x^{3} e^{3} + 315 \, B b^{6} d^{5} x^{2} e^{2} + 70 \, B b^{6} d^{6} x e + 7 \, B b^{6} d^{7} + 3780 \, B a b^{5} x^{6} e^{7} + 630 \, A b^{6} x^{6} e^{7} + 4536 \, B a b^{5} d x^{5} e^{6} + 756 \, A b^{6} d x^{5} e^{6} + 3780 \, B a b^{5} d^{2} x^{4} e^{5} + 630 \, A b^{6} d^{2} x^{4} e^{5} + 2160 \, B a b^{5} d^{3} x^{3} e^{4} + 360 \, A b^{6} d^{3} x^{3} e^{4} + 810 \, B a b^{5} d^{4} x^{2} e^{3} + 135 \, A b^{6} d^{4} x^{2} e^{3} + 180 \, B a b^{5} d^{5} x e^{2} + 30 \, A b^{6} d^{5} x e^{2} + 18 \, B a b^{5} d^{6} e + 3 \, A b^{6} d^{6} e + 7560 \, B a^{2} b^{4} x^{5} e^{7} + 3024 \, A a b^{5} x^{5} e^{7} + 6300 \, B a^{2} b^{4} d x^{4} e^{6} + 2520 \, A a b^{5} d x^{4} e^{6} + 3600 \, B a^{2} b^{4} d^{2} x^{3} e^{5} + 1440 \, A a b^{5} d^{2} x^{3} e^{5} + 1350 \, B a^{2} b^{4} d^{3} x^{2} e^{4} + 540 \, A a b^{5} d^{3} x^{2} e^{4} + 300 \, B a^{2} b^{4} d^{4} x e^{3} + 120 \, A a b^{5} d^{4} x e^{3} + 30 \, B a^{2} b^{4} d^{5} e^{2} + 12 \, A a b^{5} d^{5} e^{2} + 8400 \, B a^{3} b^{3} x^{4} e^{7} + 6300 \, A a^{2} b^{4} x^{4} e^{7} + 4800 \, B a^{3} b^{3} d x^{3} e^{6} + 3600 \, A a^{2} b^{4} d x^{3} e^{6} + 1800 \, B a^{3} b^{3} d^{2} x^{2} e^{5} + 1350 \, A a^{2} b^{4} d^{2} x^{2} e^{5} + 400 \, B a^{3} b^{3} d^{3} x e^{4} + 300 \, A a^{2} b^{4} d^{3} x e^{4} + 40 \, B a^{3} b^{3} d^{4} e^{3} + 30 \, A a^{2} b^{4} d^{4} e^{3} + 5400 \, B a^{4} b^{2} x^{3} e^{7} + 7200 \, A a^{3} b^{3} x^{3} e^{7} + 2025 \, B a^{4} b^{2} d x^{2} e^{6} + 2700 \, A a^{3} b^{3} d x^{2} e^{6} + 450 \, B a^{4} b^{2} d^{2} x e^{5} + 600 \, A a^{3} b^{3} d^{2} x e^{5} + 45 \, B a^{4} b^{2} d^{3} e^{4} + 60 \, A a^{3} b^{3} d^{3} e^{4} + 1890 \, B a^{5} b x^{2} e^{7} + 4725 \, A a^{4} b^{2} x^{2} e^{7} + 420 \, B a^{5} b d x e^{6} + 1050 \, A a^{4} b^{2} d x e^{6} + 42 \, B a^{5} b d^{2} e^{5} + 105 \, A a^{4} b^{2} d^{2} e^{5} + 280 \, B a^{6} x e^{7} + 1680 \, A a^{5} b x e^{7} + 28 \, B a^{6} d e^{6} + 168 \, A a^{5} b d e^{6} + 252 \, A a^{6} e^{7}\right)} e^{\left(-8\right)}}{2520 \, {\left(x e + d\right)}^{10}}"," ",0,"-1/2520*(840*B*b^6*x^7*e^7 + 1470*B*b^6*d*x^6*e^6 + 1764*B*b^6*d^2*x^5*e^5 + 1470*B*b^6*d^3*x^4*e^4 + 840*B*b^6*d^4*x^3*e^3 + 315*B*b^6*d^5*x^2*e^2 + 70*B*b^6*d^6*x*e + 7*B*b^6*d^7 + 3780*B*a*b^5*x^6*e^7 + 630*A*b^6*x^6*e^7 + 4536*B*a*b^5*d*x^5*e^6 + 756*A*b^6*d*x^5*e^6 + 3780*B*a*b^5*d^2*x^4*e^5 + 630*A*b^6*d^2*x^4*e^5 + 2160*B*a*b^5*d^3*x^3*e^4 + 360*A*b^6*d^3*x^3*e^4 + 810*B*a*b^5*d^4*x^2*e^3 + 135*A*b^6*d^4*x^2*e^3 + 180*B*a*b^5*d^5*x*e^2 + 30*A*b^6*d^5*x*e^2 + 18*B*a*b^5*d^6*e + 3*A*b^6*d^6*e + 7560*B*a^2*b^4*x^5*e^7 + 3024*A*a*b^5*x^5*e^7 + 6300*B*a^2*b^4*d*x^4*e^6 + 2520*A*a*b^5*d*x^4*e^6 + 3600*B*a^2*b^4*d^2*x^3*e^5 + 1440*A*a*b^5*d^2*x^3*e^5 + 1350*B*a^2*b^4*d^3*x^2*e^4 + 540*A*a*b^5*d^3*x^2*e^4 + 300*B*a^2*b^4*d^4*x*e^3 + 120*A*a*b^5*d^4*x*e^3 + 30*B*a^2*b^4*d^5*e^2 + 12*A*a*b^5*d^5*e^2 + 8400*B*a^3*b^3*x^4*e^7 + 6300*A*a^2*b^4*x^4*e^7 + 4800*B*a^3*b^3*d*x^3*e^6 + 3600*A*a^2*b^4*d*x^3*e^6 + 1800*B*a^3*b^3*d^2*x^2*e^5 + 1350*A*a^2*b^4*d^2*x^2*e^5 + 400*B*a^3*b^3*d^3*x*e^4 + 300*A*a^2*b^4*d^3*x*e^4 + 40*B*a^3*b^3*d^4*e^3 + 30*A*a^2*b^4*d^4*e^3 + 5400*B*a^4*b^2*x^3*e^7 + 7200*A*a^3*b^3*x^3*e^7 + 2025*B*a^4*b^2*d*x^2*e^6 + 2700*A*a^3*b^3*d*x^2*e^6 + 450*B*a^4*b^2*d^2*x*e^5 + 600*A*a^3*b^3*d^2*x*e^5 + 45*B*a^4*b^2*d^3*e^4 + 60*A*a^3*b^3*d^3*e^4 + 1890*B*a^5*b*x^2*e^7 + 4725*A*a^4*b^2*x^2*e^7 + 420*B*a^5*b*d*x*e^6 + 1050*A*a^4*b^2*d*x*e^6 + 42*B*a^5*b*d^2*e^5 + 105*A*a^4*b^2*d^2*e^5 + 280*B*a^6*x*e^7 + 1680*A*a^5*b*x*e^7 + 28*B*a^6*d*e^6 + 168*A*a^5*b*d*e^6 + 252*A*a^6*e^7)*e^(-8)/(x*e + d)^10","B",0
1071,1,856,0,1.181101," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^12,x, algorithm=""giac"")","-\frac{{\left(2310 \, B b^{6} x^{7} e^{7} + 3234 \, B b^{6} d x^{6} e^{6} + 3234 \, B b^{6} d^{2} x^{5} e^{5} + 2310 \, B b^{6} d^{3} x^{4} e^{4} + 1155 \, B b^{6} d^{4} x^{3} e^{3} + 385 \, B b^{6} d^{5} x^{2} e^{2} + 77 \, B b^{6} d^{6} x e + 7 \, B b^{6} d^{7} + 11088 \, B a b^{5} x^{6} e^{7} + 1848 \, A b^{6} x^{6} e^{7} + 11088 \, B a b^{5} d x^{5} e^{6} + 1848 \, A b^{6} d x^{5} e^{6} + 7920 \, B a b^{5} d^{2} x^{4} e^{5} + 1320 \, A b^{6} d^{2} x^{4} e^{5} + 3960 \, B a b^{5} d^{3} x^{3} e^{4} + 660 \, A b^{6} d^{3} x^{3} e^{4} + 1320 \, B a b^{5} d^{4} x^{2} e^{3} + 220 \, A b^{6} d^{4} x^{2} e^{3} + 264 \, B a b^{5} d^{5} x e^{2} + 44 \, A b^{6} d^{5} x e^{2} + 24 \, B a b^{5} d^{6} e + 4 \, A b^{6} d^{6} e + 23100 \, B a^{2} b^{4} x^{5} e^{7} + 9240 \, A a b^{5} x^{5} e^{7} + 16500 \, B a^{2} b^{4} d x^{4} e^{6} + 6600 \, A a b^{5} d x^{4} e^{6} + 8250 \, B a^{2} b^{4} d^{2} x^{3} e^{5} + 3300 \, A a b^{5} d^{2} x^{3} e^{5} + 2750 \, B a^{2} b^{4} d^{3} x^{2} e^{4} + 1100 \, A a b^{5} d^{3} x^{2} e^{4} + 550 \, B a^{2} b^{4} d^{4} x e^{3} + 220 \, A a b^{5} d^{4} x e^{3} + 50 \, B a^{2} b^{4} d^{5} e^{2} + 20 \, A a b^{5} d^{5} e^{2} + 26400 \, B a^{3} b^{3} x^{4} e^{7} + 19800 \, A a^{2} b^{4} x^{4} e^{7} + 13200 \, B a^{3} b^{3} d x^{3} e^{6} + 9900 \, A a^{2} b^{4} d x^{3} e^{6} + 4400 \, B a^{3} b^{3} d^{2} x^{2} e^{5} + 3300 \, A a^{2} b^{4} d^{2} x^{2} e^{5} + 880 \, B a^{3} b^{3} d^{3} x e^{4} + 660 \, A a^{2} b^{4} d^{3} x e^{4} + 80 \, B a^{3} b^{3} d^{4} e^{3} + 60 \, A a^{2} b^{4} d^{4} e^{3} + 17325 \, B a^{4} b^{2} x^{3} e^{7} + 23100 \, A a^{3} b^{3} x^{3} e^{7} + 5775 \, B a^{4} b^{2} d x^{2} e^{6} + 7700 \, A a^{3} b^{3} d x^{2} e^{6} + 1155 \, B a^{4} b^{2} d^{2} x e^{5} + 1540 \, A a^{3} b^{3} d^{2} x e^{5} + 105 \, B a^{4} b^{2} d^{3} e^{4} + 140 \, A a^{3} b^{3} d^{3} e^{4} + 6160 \, B a^{5} b x^{2} e^{7} + 15400 \, A a^{4} b^{2} x^{2} e^{7} + 1232 \, B a^{5} b d x e^{6} + 3080 \, A a^{4} b^{2} d x e^{6} + 112 \, B a^{5} b d^{2} e^{5} + 280 \, A a^{4} b^{2} d^{2} e^{5} + 924 \, B a^{6} x e^{7} + 5544 \, A a^{5} b x e^{7} + 84 \, B a^{6} d e^{6} + 504 \, A a^{5} b d e^{6} + 840 \, A a^{6} e^{7}\right)} e^{\left(-8\right)}}{9240 \, {\left(x e + d\right)}^{11}}"," ",0,"-1/9240*(2310*B*b^6*x^7*e^7 + 3234*B*b^6*d*x^6*e^6 + 3234*B*b^6*d^2*x^5*e^5 + 2310*B*b^6*d^3*x^4*e^4 + 1155*B*b^6*d^4*x^3*e^3 + 385*B*b^6*d^5*x^2*e^2 + 77*B*b^6*d^6*x*e + 7*B*b^6*d^7 + 11088*B*a*b^5*x^6*e^7 + 1848*A*b^6*x^6*e^7 + 11088*B*a*b^5*d*x^5*e^6 + 1848*A*b^6*d*x^5*e^6 + 7920*B*a*b^5*d^2*x^4*e^5 + 1320*A*b^6*d^2*x^4*e^5 + 3960*B*a*b^5*d^3*x^3*e^4 + 660*A*b^6*d^3*x^3*e^4 + 1320*B*a*b^5*d^4*x^2*e^3 + 220*A*b^6*d^4*x^2*e^3 + 264*B*a*b^5*d^5*x*e^2 + 44*A*b^6*d^5*x*e^2 + 24*B*a*b^5*d^6*e + 4*A*b^6*d^6*e + 23100*B*a^2*b^4*x^5*e^7 + 9240*A*a*b^5*x^5*e^7 + 16500*B*a^2*b^4*d*x^4*e^6 + 6600*A*a*b^5*d*x^4*e^6 + 8250*B*a^2*b^4*d^2*x^3*e^5 + 3300*A*a*b^5*d^2*x^3*e^5 + 2750*B*a^2*b^4*d^3*x^2*e^4 + 1100*A*a*b^5*d^3*x^2*e^4 + 550*B*a^2*b^4*d^4*x*e^3 + 220*A*a*b^5*d^4*x*e^3 + 50*B*a^2*b^4*d^5*e^2 + 20*A*a*b^5*d^5*e^2 + 26400*B*a^3*b^3*x^4*e^7 + 19800*A*a^2*b^4*x^4*e^7 + 13200*B*a^3*b^3*d*x^3*e^6 + 9900*A*a^2*b^4*d*x^3*e^6 + 4400*B*a^3*b^3*d^2*x^2*e^5 + 3300*A*a^2*b^4*d^2*x^2*e^5 + 880*B*a^3*b^3*d^3*x*e^4 + 660*A*a^2*b^4*d^3*x*e^4 + 80*B*a^3*b^3*d^4*e^3 + 60*A*a^2*b^4*d^4*e^3 + 17325*B*a^4*b^2*x^3*e^7 + 23100*A*a^3*b^3*x^3*e^7 + 5775*B*a^4*b^2*d*x^2*e^6 + 7700*A*a^3*b^3*d*x^2*e^6 + 1155*B*a^4*b^2*d^2*x*e^5 + 1540*A*a^3*b^3*d^2*x*e^5 + 105*B*a^4*b^2*d^3*e^4 + 140*A*a^3*b^3*d^3*e^4 + 6160*B*a^5*b*x^2*e^7 + 15400*A*a^4*b^2*x^2*e^7 + 1232*B*a^5*b*d*x*e^6 + 3080*A*a^4*b^2*d*x*e^6 + 112*B*a^5*b*d^2*e^5 + 280*A*a^4*b^2*d^2*e^5 + 924*B*a^6*x*e^7 + 5544*A*a^5*b*x*e^7 + 84*B*a^6*d*e^6 + 504*A*a^5*b*d*e^6 + 840*A*a^6*e^7)*e^(-8)/(x*e + d)^11","B",0
1072,1,856,0,1.258606," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^13,x, algorithm=""giac"")","-\frac{{\left(5544 \, B b^{6} x^{7} e^{7} + 6468 \, B b^{6} d x^{6} e^{6} + 5544 \, B b^{6} d^{2} x^{5} e^{5} + 3465 \, B b^{6} d^{3} x^{4} e^{4} + 1540 \, B b^{6} d^{4} x^{3} e^{3} + 462 \, B b^{6} d^{5} x^{2} e^{2} + 84 \, B b^{6} d^{6} x e + 7 \, B b^{6} d^{7} + 27720 \, B a b^{5} x^{6} e^{7} + 4620 \, A b^{6} x^{6} e^{7} + 23760 \, B a b^{5} d x^{5} e^{6} + 3960 \, A b^{6} d x^{5} e^{6} + 14850 \, B a b^{5} d^{2} x^{4} e^{5} + 2475 \, A b^{6} d^{2} x^{4} e^{5} + 6600 \, B a b^{5} d^{3} x^{3} e^{4} + 1100 \, A b^{6} d^{3} x^{3} e^{4} + 1980 \, B a b^{5} d^{4} x^{2} e^{3} + 330 \, A b^{6} d^{4} x^{2} e^{3} + 360 \, B a b^{5} d^{5} x e^{2} + 60 \, A b^{6} d^{5} x e^{2} + 30 \, B a b^{5} d^{6} e + 5 \, A b^{6} d^{6} e + 59400 \, B a^{2} b^{4} x^{5} e^{7} + 23760 \, A a b^{5} x^{5} e^{7} + 37125 \, B a^{2} b^{4} d x^{4} e^{6} + 14850 \, A a b^{5} d x^{4} e^{6} + 16500 \, B a^{2} b^{4} d^{2} x^{3} e^{5} + 6600 \, A a b^{5} d^{2} x^{3} e^{5} + 4950 \, B a^{2} b^{4} d^{3} x^{2} e^{4} + 1980 \, A a b^{5} d^{3} x^{2} e^{4} + 900 \, B a^{2} b^{4} d^{4} x e^{3} + 360 \, A a b^{5} d^{4} x e^{3} + 75 \, B a^{2} b^{4} d^{5} e^{2} + 30 \, A a b^{5} d^{5} e^{2} + 69300 \, B a^{3} b^{3} x^{4} e^{7} + 51975 \, A a^{2} b^{4} x^{4} e^{7} + 30800 \, B a^{3} b^{3} d x^{3} e^{6} + 23100 \, A a^{2} b^{4} d x^{3} e^{6} + 9240 \, B a^{3} b^{3} d^{2} x^{2} e^{5} + 6930 \, A a^{2} b^{4} d^{2} x^{2} e^{5} + 1680 \, B a^{3} b^{3} d^{3} x e^{4} + 1260 \, A a^{2} b^{4} d^{3} x e^{4} + 140 \, B a^{3} b^{3} d^{4} e^{3} + 105 \, A a^{2} b^{4} d^{4} e^{3} + 46200 \, B a^{4} b^{2} x^{3} e^{7} + 61600 \, A a^{3} b^{3} x^{3} e^{7} + 13860 \, B a^{4} b^{2} d x^{2} e^{6} + 18480 \, A a^{3} b^{3} d x^{2} e^{6} + 2520 \, B a^{4} b^{2} d^{2} x e^{5} + 3360 \, A a^{3} b^{3} d^{2} x e^{5} + 210 \, B a^{4} b^{2} d^{3} e^{4} + 280 \, A a^{3} b^{3} d^{3} e^{4} + 16632 \, B a^{5} b x^{2} e^{7} + 41580 \, A a^{4} b^{2} x^{2} e^{7} + 3024 \, B a^{5} b d x e^{6} + 7560 \, A a^{4} b^{2} d x e^{6} + 252 \, B a^{5} b d^{2} e^{5} + 630 \, A a^{4} b^{2} d^{2} e^{5} + 2520 \, B a^{6} x e^{7} + 15120 \, A a^{5} b x e^{7} + 210 \, B a^{6} d e^{6} + 1260 \, A a^{5} b d e^{6} + 2310 \, A a^{6} e^{7}\right)} e^{\left(-8\right)}}{27720 \, {\left(x e + d\right)}^{12}}"," ",0,"-1/27720*(5544*B*b^6*x^7*e^7 + 6468*B*b^6*d*x^6*e^6 + 5544*B*b^6*d^2*x^5*e^5 + 3465*B*b^6*d^3*x^4*e^4 + 1540*B*b^6*d^4*x^3*e^3 + 462*B*b^6*d^5*x^2*e^2 + 84*B*b^6*d^6*x*e + 7*B*b^6*d^7 + 27720*B*a*b^5*x^6*e^7 + 4620*A*b^6*x^6*e^7 + 23760*B*a*b^5*d*x^5*e^6 + 3960*A*b^6*d*x^5*e^6 + 14850*B*a*b^5*d^2*x^4*e^5 + 2475*A*b^6*d^2*x^4*e^5 + 6600*B*a*b^5*d^3*x^3*e^4 + 1100*A*b^6*d^3*x^3*e^4 + 1980*B*a*b^5*d^4*x^2*e^3 + 330*A*b^6*d^4*x^2*e^3 + 360*B*a*b^5*d^5*x*e^2 + 60*A*b^6*d^5*x*e^2 + 30*B*a*b^5*d^6*e + 5*A*b^6*d^6*e + 59400*B*a^2*b^4*x^5*e^7 + 23760*A*a*b^5*x^5*e^7 + 37125*B*a^2*b^4*d*x^4*e^6 + 14850*A*a*b^5*d*x^4*e^6 + 16500*B*a^2*b^4*d^2*x^3*e^5 + 6600*A*a*b^5*d^2*x^3*e^5 + 4950*B*a^2*b^4*d^3*x^2*e^4 + 1980*A*a*b^5*d^3*x^2*e^4 + 900*B*a^2*b^4*d^4*x*e^3 + 360*A*a*b^5*d^4*x*e^3 + 75*B*a^2*b^4*d^5*e^2 + 30*A*a*b^5*d^5*e^2 + 69300*B*a^3*b^3*x^4*e^7 + 51975*A*a^2*b^4*x^4*e^7 + 30800*B*a^3*b^3*d*x^3*e^6 + 23100*A*a^2*b^4*d*x^3*e^6 + 9240*B*a^3*b^3*d^2*x^2*e^5 + 6930*A*a^2*b^4*d^2*x^2*e^5 + 1680*B*a^3*b^3*d^3*x*e^4 + 1260*A*a^2*b^4*d^3*x*e^4 + 140*B*a^3*b^3*d^4*e^3 + 105*A*a^2*b^4*d^4*e^3 + 46200*B*a^4*b^2*x^3*e^7 + 61600*A*a^3*b^3*x^3*e^7 + 13860*B*a^4*b^2*d*x^2*e^6 + 18480*A*a^3*b^3*d*x^2*e^6 + 2520*B*a^4*b^2*d^2*x*e^5 + 3360*A*a^3*b^3*d^2*x*e^5 + 210*B*a^4*b^2*d^3*e^4 + 280*A*a^3*b^3*d^3*e^4 + 16632*B*a^5*b*x^2*e^7 + 41580*A*a^4*b^2*x^2*e^7 + 3024*B*a^5*b*d*x*e^6 + 7560*A*a^4*b^2*d*x*e^6 + 252*B*a^5*b*d^2*e^5 + 630*A*a^4*b^2*d^2*e^5 + 2520*B*a^6*x*e^7 + 15120*A*a^5*b*x*e^7 + 210*B*a^6*d*e^6 + 1260*A*a^5*b*d*e^6 + 2310*A*a^6*e^7)*e^(-8)/(x*e + d)^12","B",0
1073,1,856,0,1.273079," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^14,x, algorithm=""giac"")","-\frac{{\left(12012 \, B b^{6} x^{7} e^{7} + 12012 \, B b^{6} d x^{6} e^{6} + 9009 \, B b^{6} d^{2} x^{5} e^{5} + 5005 \, B b^{6} d^{3} x^{4} e^{4} + 2002 \, B b^{6} d^{4} x^{3} e^{3} + 546 \, B b^{6} d^{5} x^{2} e^{2} + 91 \, B b^{6} d^{6} x e + 7 \, B b^{6} d^{7} + 61776 \, B a b^{5} x^{6} e^{7} + 10296 \, A b^{6} x^{6} e^{7} + 46332 \, B a b^{5} d x^{5} e^{6} + 7722 \, A b^{6} d x^{5} e^{6} + 25740 \, B a b^{5} d^{2} x^{4} e^{5} + 4290 \, A b^{6} d^{2} x^{4} e^{5} + 10296 \, B a b^{5} d^{3} x^{3} e^{4} + 1716 \, A b^{6} d^{3} x^{3} e^{4} + 2808 \, B a b^{5} d^{4} x^{2} e^{3} + 468 \, A b^{6} d^{4} x^{2} e^{3} + 468 \, B a b^{5} d^{5} x e^{2} + 78 \, A b^{6} d^{5} x e^{2} + 36 \, B a b^{5} d^{6} e + 6 \, A b^{6} d^{6} e + 135135 \, B a^{2} b^{4} x^{5} e^{7} + 54054 \, A a b^{5} x^{5} e^{7} + 75075 \, B a^{2} b^{4} d x^{4} e^{6} + 30030 \, A a b^{5} d x^{4} e^{6} + 30030 \, B a^{2} b^{4} d^{2} x^{3} e^{5} + 12012 \, A a b^{5} d^{2} x^{3} e^{5} + 8190 \, B a^{2} b^{4} d^{3} x^{2} e^{4} + 3276 \, A a b^{5} d^{3} x^{2} e^{4} + 1365 \, B a^{2} b^{4} d^{4} x e^{3} + 546 \, A a b^{5} d^{4} x e^{3} + 105 \, B a^{2} b^{4} d^{5} e^{2} + 42 \, A a b^{5} d^{5} e^{2} + 160160 \, B a^{3} b^{3} x^{4} e^{7} + 120120 \, A a^{2} b^{4} x^{4} e^{7} + 64064 \, B a^{3} b^{3} d x^{3} e^{6} + 48048 \, A a^{2} b^{4} d x^{3} e^{6} + 17472 \, B a^{3} b^{3} d^{2} x^{2} e^{5} + 13104 \, A a^{2} b^{4} d^{2} x^{2} e^{5} + 2912 \, B a^{3} b^{3} d^{3} x e^{4} + 2184 \, A a^{2} b^{4} d^{3} x e^{4} + 224 \, B a^{3} b^{3} d^{4} e^{3} + 168 \, A a^{2} b^{4} d^{4} e^{3} + 108108 \, B a^{4} b^{2} x^{3} e^{7} + 144144 \, A a^{3} b^{3} x^{3} e^{7} + 29484 \, B a^{4} b^{2} d x^{2} e^{6} + 39312 \, A a^{3} b^{3} d x^{2} e^{6} + 4914 \, B a^{4} b^{2} d^{2} x e^{5} + 6552 \, A a^{3} b^{3} d^{2} x e^{5} + 378 \, B a^{4} b^{2} d^{3} e^{4} + 504 \, A a^{3} b^{3} d^{3} e^{4} + 39312 \, B a^{5} b x^{2} e^{7} + 98280 \, A a^{4} b^{2} x^{2} e^{7} + 6552 \, B a^{5} b d x e^{6} + 16380 \, A a^{4} b^{2} d x e^{6} + 504 \, B a^{5} b d^{2} e^{5} + 1260 \, A a^{4} b^{2} d^{2} e^{5} + 6006 \, B a^{6} x e^{7} + 36036 \, A a^{5} b x e^{7} + 462 \, B a^{6} d e^{6} + 2772 \, A a^{5} b d e^{6} + 5544 \, A a^{6} e^{7}\right)} e^{\left(-8\right)}}{72072 \, {\left(x e + d\right)}^{13}}"," ",0,"-1/72072*(12012*B*b^6*x^7*e^7 + 12012*B*b^6*d*x^6*e^6 + 9009*B*b^6*d^2*x^5*e^5 + 5005*B*b^6*d^3*x^4*e^4 + 2002*B*b^6*d^4*x^3*e^3 + 546*B*b^6*d^5*x^2*e^2 + 91*B*b^6*d^6*x*e + 7*B*b^6*d^7 + 61776*B*a*b^5*x^6*e^7 + 10296*A*b^6*x^6*e^7 + 46332*B*a*b^5*d*x^5*e^6 + 7722*A*b^6*d*x^5*e^6 + 25740*B*a*b^5*d^2*x^4*e^5 + 4290*A*b^6*d^2*x^4*e^5 + 10296*B*a*b^5*d^3*x^3*e^4 + 1716*A*b^6*d^3*x^3*e^4 + 2808*B*a*b^5*d^4*x^2*e^3 + 468*A*b^6*d^4*x^2*e^3 + 468*B*a*b^5*d^5*x*e^2 + 78*A*b^6*d^5*x*e^2 + 36*B*a*b^5*d^6*e + 6*A*b^6*d^6*e + 135135*B*a^2*b^4*x^5*e^7 + 54054*A*a*b^5*x^5*e^7 + 75075*B*a^2*b^4*d*x^4*e^6 + 30030*A*a*b^5*d*x^4*e^6 + 30030*B*a^2*b^4*d^2*x^3*e^5 + 12012*A*a*b^5*d^2*x^3*e^5 + 8190*B*a^2*b^4*d^3*x^2*e^4 + 3276*A*a*b^5*d^3*x^2*e^4 + 1365*B*a^2*b^4*d^4*x*e^3 + 546*A*a*b^5*d^4*x*e^3 + 105*B*a^2*b^4*d^5*e^2 + 42*A*a*b^5*d^5*e^2 + 160160*B*a^3*b^3*x^4*e^7 + 120120*A*a^2*b^4*x^4*e^7 + 64064*B*a^3*b^3*d*x^3*e^6 + 48048*A*a^2*b^4*d*x^3*e^6 + 17472*B*a^3*b^3*d^2*x^2*e^5 + 13104*A*a^2*b^4*d^2*x^2*e^5 + 2912*B*a^3*b^3*d^3*x*e^4 + 2184*A*a^2*b^4*d^3*x*e^4 + 224*B*a^3*b^3*d^4*e^3 + 168*A*a^2*b^4*d^4*e^3 + 108108*B*a^4*b^2*x^3*e^7 + 144144*A*a^3*b^3*x^3*e^7 + 29484*B*a^4*b^2*d*x^2*e^6 + 39312*A*a^3*b^3*d*x^2*e^6 + 4914*B*a^4*b^2*d^2*x*e^5 + 6552*A*a^3*b^3*d^2*x*e^5 + 378*B*a^4*b^2*d^3*e^4 + 504*A*a^3*b^3*d^3*e^4 + 39312*B*a^5*b*x^2*e^7 + 98280*A*a^4*b^2*x^2*e^7 + 6552*B*a^5*b*d*x*e^6 + 16380*A*a^4*b^2*d*x*e^6 + 504*B*a^5*b*d^2*e^5 + 1260*A*a^4*b^2*d^2*e^5 + 6006*B*a^6*x*e^7 + 36036*A*a^5*b*x*e^7 + 462*B*a^6*d*e^6 + 2772*A*a^5*b*d*e^6 + 5544*A*a^6*e^7)*e^(-8)/(x*e + d)^13","B",0
1074,1,854,0,1.265644," ","integrate((b*x+a)^6*(B*x+A)/(e*x+d)^15,x, algorithm=""giac"")","-\frac{{\left(3432 \, B b^{6} x^{7} e^{7} + 3003 \, B b^{6} d x^{6} e^{6} + 2002 \, B b^{6} d^{2} x^{5} e^{5} + 1001 \, B b^{6} d^{3} x^{4} e^{4} + 364 \, B b^{6} d^{4} x^{3} e^{3} + 91 \, B b^{6} d^{5} x^{2} e^{2} + 14 \, B b^{6} d^{6} x e + B b^{6} d^{7} + 18018 \, B a b^{5} x^{6} e^{7} + 3003 \, A b^{6} x^{6} e^{7} + 12012 \, B a b^{5} d x^{5} e^{6} + 2002 \, A b^{6} d x^{5} e^{6} + 6006 \, B a b^{5} d^{2} x^{4} e^{5} + 1001 \, A b^{6} d^{2} x^{4} e^{5} + 2184 \, B a b^{5} d^{3} x^{3} e^{4} + 364 \, A b^{6} d^{3} x^{3} e^{4} + 546 \, B a b^{5} d^{4} x^{2} e^{3} + 91 \, A b^{6} d^{4} x^{2} e^{3} + 84 \, B a b^{5} d^{5} x e^{2} + 14 \, A b^{6} d^{5} x e^{2} + 6 \, B a b^{5} d^{6} e + A b^{6} d^{6} e + 40040 \, B a^{2} b^{4} x^{5} e^{7} + 16016 \, A a b^{5} x^{5} e^{7} + 20020 \, B a^{2} b^{4} d x^{4} e^{6} + 8008 \, A a b^{5} d x^{4} e^{6} + 7280 \, B a^{2} b^{4} d^{2} x^{3} e^{5} + 2912 \, A a b^{5} d^{2} x^{3} e^{5} + 1820 \, B a^{2} b^{4} d^{3} x^{2} e^{4} + 728 \, A a b^{5} d^{3} x^{2} e^{4} + 280 \, B a^{2} b^{4} d^{4} x e^{3} + 112 \, A a b^{5} d^{4} x e^{3} + 20 \, B a^{2} b^{4} d^{5} e^{2} + 8 \, A a b^{5} d^{5} e^{2} + 48048 \, B a^{3} b^{3} x^{4} e^{7} + 36036 \, A a^{2} b^{4} x^{4} e^{7} + 17472 \, B a^{3} b^{3} d x^{3} e^{6} + 13104 \, A a^{2} b^{4} d x^{3} e^{6} + 4368 \, B a^{3} b^{3} d^{2} x^{2} e^{5} + 3276 \, A a^{2} b^{4} d^{2} x^{2} e^{5} + 672 \, B a^{3} b^{3} d^{3} x e^{4} + 504 \, A a^{2} b^{4} d^{3} x e^{4} + 48 \, B a^{3} b^{3} d^{4} e^{3} + 36 \, A a^{2} b^{4} d^{4} e^{3} + 32760 \, B a^{4} b^{2} x^{3} e^{7} + 43680 \, A a^{3} b^{3} x^{3} e^{7} + 8190 \, B a^{4} b^{2} d x^{2} e^{6} + 10920 \, A a^{3} b^{3} d x^{2} e^{6} + 1260 \, B a^{4} b^{2} d^{2} x e^{5} + 1680 \, A a^{3} b^{3} d^{2} x e^{5} + 90 \, B a^{4} b^{2} d^{3} e^{4} + 120 \, A a^{3} b^{3} d^{3} e^{4} + 12012 \, B a^{5} b x^{2} e^{7} + 30030 \, A a^{4} b^{2} x^{2} e^{7} + 1848 \, B a^{5} b d x e^{6} + 4620 \, A a^{4} b^{2} d x e^{6} + 132 \, B a^{5} b d^{2} e^{5} + 330 \, A a^{4} b^{2} d^{2} e^{5} + 1848 \, B a^{6} x e^{7} + 11088 \, A a^{5} b x e^{7} + 132 \, B a^{6} d e^{6} + 792 \, A a^{5} b d e^{6} + 1716 \, A a^{6} e^{7}\right)} e^{\left(-8\right)}}{24024 \, {\left(x e + d\right)}^{14}}"," ",0,"-1/24024*(3432*B*b^6*x^7*e^7 + 3003*B*b^6*d*x^6*e^6 + 2002*B*b^6*d^2*x^5*e^5 + 1001*B*b^6*d^3*x^4*e^4 + 364*B*b^6*d^4*x^3*e^3 + 91*B*b^6*d^5*x^2*e^2 + 14*B*b^6*d^6*x*e + B*b^6*d^7 + 18018*B*a*b^5*x^6*e^7 + 3003*A*b^6*x^6*e^7 + 12012*B*a*b^5*d*x^5*e^6 + 2002*A*b^6*d*x^5*e^6 + 6006*B*a*b^5*d^2*x^4*e^5 + 1001*A*b^6*d^2*x^4*e^5 + 2184*B*a*b^5*d^3*x^3*e^4 + 364*A*b^6*d^3*x^3*e^4 + 546*B*a*b^5*d^4*x^2*e^3 + 91*A*b^6*d^4*x^2*e^3 + 84*B*a*b^5*d^5*x*e^2 + 14*A*b^6*d^5*x*e^2 + 6*B*a*b^5*d^6*e + A*b^6*d^6*e + 40040*B*a^2*b^4*x^5*e^7 + 16016*A*a*b^5*x^5*e^7 + 20020*B*a^2*b^4*d*x^4*e^6 + 8008*A*a*b^5*d*x^4*e^6 + 7280*B*a^2*b^4*d^2*x^3*e^5 + 2912*A*a*b^5*d^2*x^3*e^5 + 1820*B*a^2*b^4*d^3*x^2*e^4 + 728*A*a*b^5*d^3*x^2*e^4 + 280*B*a^2*b^4*d^4*x*e^3 + 112*A*a*b^5*d^4*x*e^3 + 20*B*a^2*b^4*d^5*e^2 + 8*A*a*b^5*d^5*e^2 + 48048*B*a^3*b^3*x^4*e^7 + 36036*A*a^2*b^4*x^4*e^7 + 17472*B*a^3*b^3*d*x^3*e^6 + 13104*A*a^2*b^4*d*x^3*e^6 + 4368*B*a^3*b^3*d^2*x^2*e^5 + 3276*A*a^2*b^4*d^2*x^2*e^5 + 672*B*a^3*b^3*d^3*x*e^4 + 504*A*a^2*b^4*d^3*x*e^4 + 48*B*a^3*b^3*d^4*e^3 + 36*A*a^2*b^4*d^4*e^3 + 32760*B*a^4*b^2*x^3*e^7 + 43680*A*a^3*b^3*x^3*e^7 + 8190*B*a^4*b^2*d*x^2*e^6 + 10920*A*a^3*b^3*d*x^2*e^6 + 1260*B*a^4*b^2*d^2*x*e^5 + 1680*A*a^3*b^3*d^2*x*e^5 + 90*B*a^4*b^2*d^3*e^4 + 120*A*a^3*b^3*d^3*e^4 + 12012*B*a^5*b*x^2*e^7 + 30030*A*a^4*b^2*x^2*e^7 + 1848*B*a^5*b*d*x*e^6 + 4620*A*a^4*b^2*d*x*e^6 + 132*B*a^5*b*d^2*e^5 + 330*A*a^4*b^2*d^2*e^5 + 1848*B*a^6*x*e^7 + 11088*A*a^5*b*x*e^7 + 132*B*a^6*d*e^6 + 792*A*a^5*b*d*e^6 + 1716*A*a^6*e^7)*e^(-8)/(x*e + d)^14","B",0
1075,1,4797,0,1.410433," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d)^13,x, algorithm=""giac"")","\frac{1}{25} \, B b^{10} x^{25} e^{13} + \frac{13}{24} \, B b^{10} d x^{24} e^{12} + \frac{78}{23} \, B b^{10} d^{2} x^{23} e^{11} + 13 \, B b^{10} d^{3} x^{22} e^{10} + \frac{715}{21} \, B b^{10} d^{4} x^{21} e^{9} + \frac{1287}{20} \, B b^{10} d^{5} x^{20} e^{8} + \frac{1716}{19} \, B b^{10} d^{6} x^{19} e^{7} + \frac{286}{3} \, B b^{10} d^{7} x^{18} e^{6} + \frac{1287}{17} \, B b^{10} d^{8} x^{17} e^{5} + \frac{715}{16} \, B b^{10} d^{9} x^{16} e^{4} + \frac{286}{15} \, B b^{10} d^{10} x^{15} e^{3} + \frac{39}{7} \, B b^{10} d^{11} x^{14} e^{2} + B b^{10} d^{12} x^{13} e + \frac{1}{12} \, B b^{10} d^{13} x^{12} + \frac{5}{12} \, B a b^{9} x^{24} e^{13} + \frac{1}{24} \, A b^{10} x^{24} e^{13} + \frac{130}{23} \, B a b^{9} d x^{23} e^{12} + \frac{13}{23} \, A b^{10} d x^{23} e^{12} + \frac{390}{11} \, B a b^{9} d^{2} x^{22} e^{11} + \frac{39}{11} \, A b^{10} d^{2} x^{22} e^{11} + \frac{2860}{21} \, B a b^{9} d^{3} x^{21} e^{10} + \frac{286}{21} \, A b^{10} d^{3} x^{21} e^{10} + \frac{715}{2} \, B a b^{9} d^{4} x^{20} e^{9} + \frac{143}{4} \, A b^{10} d^{4} x^{20} e^{9} + \frac{12870}{19} \, B a b^{9} d^{5} x^{19} e^{8} + \frac{1287}{19} \, A b^{10} d^{5} x^{19} e^{8} + \frac{2860}{3} \, B a b^{9} d^{6} x^{18} e^{7} + \frac{286}{3} \, A b^{10} d^{6} x^{18} e^{7} + \frac{17160}{17} \, B a b^{9} d^{7} x^{17} e^{6} + \frac{1716}{17} \, A b^{10} d^{7} x^{17} e^{6} + \frac{6435}{8} \, B a b^{9} d^{8} x^{16} e^{5} + \frac{1287}{16} \, A b^{10} d^{8} x^{16} e^{5} + \frac{1430}{3} \, B a b^{9} d^{9} x^{15} e^{4} + \frac{143}{3} \, A b^{10} d^{9} x^{15} e^{4} + \frac{1430}{7} \, B a b^{9} d^{10} x^{14} e^{3} + \frac{143}{7} \, A b^{10} d^{10} x^{14} e^{3} + 60 \, B a b^{9} d^{11} x^{13} e^{2} + 6 \, A b^{10} d^{11} x^{13} e^{2} + \frac{65}{6} \, B a b^{9} d^{12} x^{12} e + \frac{13}{12} \, A b^{10} d^{12} x^{12} e + \frac{10}{11} \, B a b^{9} d^{13} x^{11} + \frac{1}{11} \, A b^{10} d^{13} x^{11} + \frac{45}{23} \, B a^{2} b^{8} x^{23} e^{13} + \frac{10}{23} \, A a b^{9} x^{23} e^{13} + \frac{585}{22} \, B a^{2} b^{8} d x^{22} e^{12} + \frac{65}{11} \, A a b^{9} d x^{22} e^{12} + \frac{1170}{7} \, B a^{2} b^{8} d^{2} x^{21} e^{11} + \frac{260}{7} \, A a b^{9} d^{2} x^{21} e^{11} + \frac{1287}{2} \, B a^{2} b^{8} d^{3} x^{20} e^{10} + 143 \, A a b^{9} d^{3} x^{20} e^{10} + \frac{32175}{19} \, B a^{2} b^{8} d^{4} x^{19} e^{9} + \frac{7150}{19} \, A a b^{9} d^{4} x^{19} e^{9} + \frac{6435}{2} \, B a^{2} b^{8} d^{5} x^{18} e^{8} + 715 \, A a b^{9} d^{5} x^{18} e^{8} + \frac{77220}{17} \, B a^{2} b^{8} d^{6} x^{17} e^{7} + \frac{17160}{17} \, A a b^{9} d^{6} x^{17} e^{7} + \frac{19305}{4} \, B a^{2} b^{8} d^{7} x^{16} e^{6} + \frac{2145}{2} \, A a b^{9} d^{7} x^{16} e^{6} + 3861 \, B a^{2} b^{8} d^{8} x^{15} e^{5} + 858 \, A a b^{9} d^{8} x^{15} e^{5} + \frac{32175}{14} \, B a^{2} b^{8} d^{9} x^{14} e^{4} + \frac{3575}{7} \, A a b^{9} d^{9} x^{14} e^{4} + 990 \, B a^{2} b^{8} d^{10} x^{13} e^{3} + 220 \, A a b^{9} d^{10} x^{13} e^{3} + \frac{585}{2} \, B a^{2} b^{8} d^{11} x^{12} e^{2} + 65 \, A a b^{9} d^{11} x^{12} e^{2} + \frac{585}{11} \, B a^{2} b^{8} d^{12} x^{11} e + \frac{130}{11} \, A a b^{9} d^{12} x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d^{13} x^{10} + A a b^{9} d^{13} x^{10} + \frac{60}{11} \, B a^{3} b^{7} x^{22} e^{13} + \frac{45}{22} \, A a^{2} b^{8} x^{22} e^{13} + \frac{520}{7} \, B a^{3} b^{7} d x^{21} e^{12} + \frac{195}{7} \, A a^{2} b^{8} d x^{21} e^{12} + 468 \, B a^{3} b^{7} d^{2} x^{20} e^{11} + \frac{351}{2} \, A a^{2} b^{8} d^{2} x^{20} e^{11} + \frac{34320}{19} \, B a^{3} b^{7} d^{3} x^{19} e^{10} + \frac{12870}{19} \, A a^{2} b^{8} d^{3} x^{19} e^{10} + \frac{14300}{3} \, B a^{3} b^{7} d^{4} x^{18} e^{9} + \frac{3575}{2} \, A a^{2} b^{8} d^{4} x^{18} e^{9} + \frac{154440}{17} \, B a^{3} b^{7} d^{5} x^{17} e^{8} + \frac{57915}{17} \, A a^{2} b^{8} d^{5} x^{17} e^{8} + 12870 \, B a^{3} b^{7} d^{6} x^{16} e^{7} + \frac{19305}{4} \, A a^{2} b^{8} d^{6} x^{16} e^{7} + 13728 \, B a^{3} b^{7} d^{7} x^{15} e^{6} + 5148 \, A a^{2} b^{8} d^{7} x^{15} e^{6} + \frac{77220}{7} \, B a^{3} b^{7} d^{8} x^{14} e^{5} + \frac{57915}{14} \, A a^{2} b^{8} d^{8} x^{14} e^{5} + 6600 \, B a^{3} b^{7} d^{9} x^{13} e^{4} + 2475 \, A a^{2} b^{8} d^{9} x^{13} e^{4} + 2860 \, B a^{3} b^{7} d^{10} x^{12} e^{3} + \frac{2145}{2} \, A a^{2} b^{8} d^{10} x^{12} e^{3} + \frac{9360}{11} \, B a^{3} b^{7} d^{11} x^{11} e^{2} + \frac{3510}{11} \, A a^{2} b^{8} d^{11} x^{11} e^{2} + 156 \, B a^{3} b^{7} d^{12} x^{10} e + \frac{117}{2} \, A a^{2} b^{8} d^{12} x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d^{13} x^{9} + 5 \, A a^{2} b^{8} d^{13} x^{9} + 10 \, B a^{4} b^{6} x^{21} e^{13} + \frac{40}{7} \, A a^{3} b^{7} x^{21} e^{13} + \frac{273}{2} \, B a^{4} b^{6} d x^{20} e^{12} + 78 \, A a^{3} b^{7} d x^{20} e^{12} + \frac{16380}{19} \, B a^{4} b^{6} d^{2} x^{19} e^{11} + \frac{9360}{19} \, A a^{3} b^{7} d^{2} x^{19} e^{11} + \frac{10010}{3} \, B a^{4} b^{6} d^{3} x^{18} e^{10} + \frac{5720}{3} \, A a^{3} b^{7} d^{3} x^{18} e^{10} + \frac{150150}{17} \, B a^{4} b^{6} d^{4} x^{17} e^{9} + \frac{85800}{17} \, A a^{3} b^{7} d^{4} x^{17} e^{9} + \frac{135135}{8} \, B a^{4} b^{6} d^{5} x^{16} e^{8} + \frac{19305}{2} \, A a^{3} b^{7} d^{5} x^{16} e^{8} + 24024 \, B a^{4} b^{6} d^{6} x^{15} e^{7} + 13728 \, A a^{3} b^{7} d^{6} x^{15} e^{7} + 25740 \, B a^{4} b^{6} d^{7} x^{14} e^{6} + \frac{102960}{7} \, A a^{3} b^{7} d^{7} x^{14} e^{6} + 20790 \, B a^{4} b^{6} d^{8} x^{13} e^{5} + 11880 \, A a^{3} b^{7} d^{8} x^{13} e^{5} + \frac{25025}{2} \, B a^{4} b^{6} d^{9} x^{12} e^{4} + 7150 \, A a^{3} b^{7} d^{9} x^{12} e^{4} + 5460 \, B a^{4} b^{6} d^{10} x^{11} e^{3} + 3120 \, A a^{3} b^{7} d^{10} x^{11} e^{3} + 1638 \, B a^{4} b^{6} d^{11} x^{10} e^{2} + 936 \, A a^{3} b^{7} d^{11} x^{10} e^{2} + \frac{910}{3} \, B a^{4} b^{6} d^{12} x^{9} e + \frac{520}{3} \, A a^{3} b^{7} d^{12} x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d^{13} x^{8} + 15 \, A a^{3} b^{7} d^{13} x^{8} + \frac{63}{5} \, B a^{5} b^{5} x^{20} e^{13} + \frac{21}{2} \, A a^{4} b^{6} x^{20} e^{13} + \frac{3276}{19} \, B a^{5} b^{5} d x^{19} e^{12} + \frac{2730}{19} \, A a^{4} b^{6} d x^{19} e^{12} + 1092 \, B a^{5} b^{5} d^{2} x^{18} e^{11} + 910 \, A a^{4} b^{6} d^{2} x^{18} e^{11} + \frac{72072}{17} \, B a^{5} b^{5} d^{3} x^{17} e^{10} + \frac{60060}{17} \, A a^{4} b^{6} d^{3} x^{17} e^{10} + \frac{45045}{4} \, B a^{5} b^{5} d^{4} x^{16} e^{9} + \frac{75075}{8} \, A a^{4} b^{6} d^{4} x^{16} e^{9} + \frac{108108}{5} \, B a^{5} b^{5} d^{5} x^{15} e^{8} + 18018 \, A a^{4} b^{6} d^{5} x^{15} e^{8} + 30888 \, B a^{5} b^{5} d^{6} x^{14} e^{7} + 25740 \, A a^{4} b^{6} d^{6} x^{14} e^{7} + 33264 \, B a^{5} b^{5} d^{7} x^{13} e^{6} + 27720 \, A a^{4} b^{6} d^{7} x^{13} e^{6} + 27027 \, B a^{5} b^{5} d^{8} x^{12} e^{5} + \frac{45045}{2} \, A a^{4} b^{6} d^{8} x^{12} e^{5} + 16380 \, B a^{5} b^{5} d^{9} x^{11} e^{4} + 13650 \, A a^{4} b^{6} d^{9} x^{11} e^{4} + \frac{36036}{5} \, B a^{5} b^{5} d^{10} x^{10} e^{3} + 6006 \, A a^{4} b^{6} d^{10} x^{10} e^{3} + 2184 \, B a^{5} b^{5} d^{11} x^{9} e^{2} + 1820 \, A a^{4} b^{6} d^{11} x^{9} e^{2} + \frac{819}{2} \, B a^{5} b^{5} d^{12} x^{8} e + \frac{1365}{4} \, A a^{4} b^{6} d^{12} x^{8} e + 36 \, B a^{5} b^{5} d^{13} x^{7} + 30 \, A a^{4} b^{6} d^{13} x^{7} + \frac{210}{19} \, B a^{6} b^{4} x^{19} e^{13} + \frac{252}{19} \, A a^{5} b^{5} x^{19} e^{13} + \frac{455}{3} \, B a^{6} b^{4} d x^{18} e^{12} + 182 \, A a^{5} b^{5} d x^{18} e^{12} + \frac{16380}{17} \, B a^{6} b^{4} d^{2} x^{17} e^{11} + \frac{19656}{17} \, A a^{5} b^{5} d^{2} x^{17} e^{11} + \frac{15015}{4} \, B a^{6} b^{4} d^{3} x^{16} e^{10} + \frac{9009}{2} \, A a^{5} b^{5} d^{3} x^{16} e^{10} + 10010 \, B a^{6} b^{4} d^{4} x^{15} e^{9} + 12012 \, A a^{5} b^{5} d^{4} x^{15} e^{9} + 19305 \, B a^{6} b^{4} d^{5} x^{14} e^{8} + 23166 \, A a^{5} b^{5} d^{5} x^{14} e^{8} + 27720 \, B a^{6} b^{4} d^{6} x^{13} e^{7} + 33264 \, A a^{5} b^{5} d^{6} x^{13} e^{7} + 30030 \, B a^{6} b^{4} d^{7} x^{12} e^{6} + 36036 \, A a^{5} b^{5} d^{7} x^{12} e^{6} + 24570 \, B a^{6} b^{4} d^{8} x^{11} e^{5} + 29484 \, A a^{5} b^{5} d^{8} x^{11} e^{5} + 15015 \, B a^{6} b^{4} d^{9} x^{10} e^{4} + 18018 \, A a^{5} b^{5} d^{9} x^{10} e^{4} + \frac{20020}{3} \, B a^{6} b^{4} d^{10} x^{9} e^{3} + 8008 \, A a^{5} b^{5} d^{10} x^{9} e^{3} + \frac{4095}{2} \, B a^{6} b^{4} d^{11} x^{8} e^{2} + 2457 \, A a^{5} b^{5} d^{11} x^{8} e^{2} + 390 \, B a^{6} b^{4} d^{12} x^{7} e + 468 \, A a^{5} b^{5} d^{12} x^{7} e + 35 \, B a^{6} b^{4} d^{13} x^{6} + 42 \, A a^{5} b^{5} d^{13} x^{6} + \frac{20}{3} \, B a^{7} b^{3} x^{18} e^{13} + \frac{35}{3} \, A a^{6} b^{4} x^{18} e^{13} + \frac{1560}{17} \, B a^{7} b^{3} d x^{17} e^{12} + \frac{2730}{17} \, A a^{6} b^{4} d x^{17} e^{12} + 585 \, B a^{7} b^{3} d^{2} x^{16} e^{11} + \frac{4095}{4} \, A a^{6} b^{4} d^{2} x^{16} e^{11} + 2288 \, B a^{7} b^{3} d^{3} x^{15} e^{10} + 4004 \, A a^{6} b^{4} d^{3} x^{15} e^{10} + \frac{42900}{7} \, B a^{7} b^{3} d^{4} x^{14} e^{9} + 10725 \, A a^{6} b^{4} d^{4} x^{14} e^{9} + 11880 \, B a^{7} b^{3} d^{5} x^{13} e^{8} + 20790 \, A a^{6} b^{4} d^{5} x^{13} e^{8} + 17160 \, B a^{7} b^{3} d^{6} x^{12} e^{7} + 30030 \, A a^{6} b^{4} d^{6} x^{12} e^{7} + 18720 \, B a^{7} b^{3} d^{7} x^{11} e^{6} + 32760 \, A a^{6} b^{4} d^{7} x^{11} e^{6} + 15444 \, B a^{7} b^{3} d^{8} x^{10} e^{5} + 27027 \, A a^{6} b^{4} d^{8} x^{10} e^{5} + \frac{28600}{3} \, B a^{7} b^{3} d^{9} x^{9} e^{4} + \frac{50050}{3} \, A a^{6} b^{4} d^{9} x^{9} e^{4} + 4290 \, B a^{7} b^{3} d^{10} x^{8} e^{3} + \frac{15015}{2} \, A a^{6} b^{4} d^{10} x^{8} e^{3} + \frac{9360}{7} \, B a^{7} b^{3} d^{11} x^{7} e^{2} + 2340 \, A a^{6} b^{4} d^{11} x^{7} e^{2} + 260 \, B a^{7} b^{3} d^{12} x^{6} e + 455 \, A a^{6} b^{4} d^{12} x^{6} e + 24 \, B a^{7} b^{3} d^{13} x^{5} + 42 \, A a^{6} b^{4} d^{13} x^{5} + \frac{45}{17} \, B a^{8} b^{2} x^{17} e^{13} + \frac{120}{17} \, A a^{7} b^{3} x^{17} e^{13} + \frac{585}{16} \, B a^{8} b^{2} d x^{16} e^{12} + \frac{195}{2} \, A a^{7} b^{3} d x^{16} e^{12} + 234 \, B a^{8} b^{2} d^{2} x^{15} e^{11} + 624 \, A a^{7} b^{3} d^{2} x^{15} e^{11} + \frac{6435}{7} \, B a^{8} b^{2} d^{3} x^{14} e^{10} + \frac{17160}{7} \, A a^{7} b^{3} d^{3} x^{14} e^{10} + 2475 \, B a^{8} b^{2} d^{4} x^{13} e^{9} + 6600 \, A a^{7} b^{3} d^{4} x^{13} e^{9} + \frac{19305}{4} \, B a^{8} b^{2} d^{5} x^{12} e^{8} + 12870 \, A a^{7} b^{3} d^{5} x^{12} e^{8} + 7020 \, B a^{8} b^{2} d^{6} x^{11} e^{7} + 18720 \, A a^{7} b^{3} d^{6} x^{11} e^{7} + 7722 \, B a^{8} b^{2} d^{7} x^{10} e^{6} + 20592 \, A a^{7} b^{3} d^{7} x^{10} e^{6} + 6435 \, B a^{8} b^{2} d^{8} x^{9} e^{5} + 17160 \, A a^{7} b^{3} d^{8} x^{9} e^{5} + \frac{32175}{8} \, B a^{8} b^{2} d^{9} x^{8} e^{4} + 10725 \, A a^{7} b^{3} d^{9} x^{8} e^{4} + \frac{12870}{7} \, B a^{8} b^{2} d^{10} x^{7} e^{3} + \frac{34320}{7} \, A a^{7} b^{3} d^{10} x^{7} e^{3} + 585 \, B a^{8} b^{2} d^{11} x^{6} e^{2} + 1560 \, A a^{7} b^{3} d^{11} x^{6} e^{2} + 117 \, B a^{8} b^{2} d^{12} x^{5} e + 312 \, A a^{7} b^{3} d^{12} x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d^{13} x^{4} + 30 \, A a^{7} b^{3} d^{13} x^{4} + \frac{5}{8} \, B a^{9} b x^{16} e^{13} + \frac{45}{16} \, A a^{8} b^{2} x^{16} e^{13} + \frac{26}{3} \, B a^{9} b d x^{15} e^{12} + 39 \, A a^{8} b^{2} d x^{15} e^{12} + \frac{390}{7} \, B a^{9} b d^{2} x^{14} e^{11} + \frac{1755}{7} \, A a^{8} b^{2} d^{2} x^{14} e^{11} + 220 \, B a^{9} b d^{3} x^{13} e^{10} + 990 \, A a^{8} b^{2} d^{3} x^{13} e^{10} + \frac{3575}{6} \, B a^{9} b d^{4} x^{12} e^{9} + \frac{10725}{4} \, A a^{8} b^{2} d^{4} x^{12} e^{9} + 1170 \, B a^{9} b d^{5} x^{11} e^{8} + 5265 \, A a^{8} b^{2} d^{5} x^{11} e^{8} + 1716 \, B a^{9} b d^{6} x^{10} e^{7} + 7722 \, A a^{8} b^{2} d^{6} x^{10} e^{7} + \frac{5720}{3} \, B a^{9} b d^{7} x^{9} e^{6} + 8580 \, A a^{8} b^{2} d^{7} x^{9} e^{6} + \frac{6435}{4} \, B a^{9} b d^{8} x^{8} e^{5} + \frac{57915}{8} \, A a^{8} b^{2} d^{8} x^{8} e^{5} + \frac{7150}{7} \, B a^{9} b d^{9} x^{7} e^{4} + \frac{32175}{7} \, A a^{8} b^{2} d^{9} x^{7} e^{4} + \frac{1430}{3} \, B a^{9} b d^{10} x^{6} e^{3} + 2145 \, A a^{8} b^{2} d^{10} x^{6} e^{3} + 156 \, B a^{9} b d^{11} x^{5} e^{2} + 702 \, A a^{8} b^{2} d^{11} x^{5} e^{2} + \frac{65}{2} \, B a^{9} b d^{12} x^{4} e + \frac{585}{4} \, A a^{8} b^{2} d^{12} x^{4} e + \frac{10}{3} \, B a^{9} b d^{13} x^{3} + 15 \, A a^{8} b^{2} d^{13} x^{3} + \frac{1}{15} \, B a^{10} x^{15} e^{13} + \frac{2}{3} \, A a^{9} b x^{15} e^{13} + \frac{13}{14} \, B a^{10} d x^{14} e^{12} + \frac{65}{7} \, A a^{9} b d x^{14} e^{12} + 6 \, B a^{10} d^{2} x^{13} e^{11} + 60 \, A a^{9} b d^{2} x^{13} e^{11} + \frac{143}{6} \, B a^{10} d^{3} x^{12} e^{10} + \frac{715}{3} \, A a^{9} b d^{3} x^{12} e^{10} + 65 \, B a^{10} d^{4} x^{11} e^{9} + 650 \, A a^{9} b d^{4} x^{11} e^{9} + \frac{1287}{10} \, B a^{10} d^{5} x^{10} e^{8} + 1287 \, A a^{9} b d^{5} x^{10} e^{8} + \frac{572}{3} \, B a^{10} d^{6} x^{9} e^{7} + \frac{5720}{3} \, A a^{9} b d^{6} x^{9} e^{7} + \frac{429}{2} \, B a^{10} d^{7} x^{8} e^{6} + 2145 \, A a^{9} b d^{7} x^{8} e^{6} + \frac{1287}{7} \, B a^{10} d^{8} x^{7} e^{5} + \frac{12870}{7} \, A a^{9} b d^{8} x^{7} e^{5} + \frac{715}{6} \, B a^{10} d^{9} x^{6} e^{4} + \frac{3575}{3} \, A a^{9} b d^{9} x^{6} e^{4} + \frac{286}{5} \, B a^{10} d^{10} x^{5} e^{3} + 572 \, A a^{9} b d^{10} x^{5} e^{3} + \frac{39}{2} \, B a^{10} d^{11} x^{4} e^{2} + 195 \, A a^{9} b d^{11} x^{4} e^{2} + \frac{13}{3} \, B a^{10} d^{12} x^{3} e + \frac{130}{3} \, A a^{9} b d^{12} x^{3} e + \frac{1}{2} \, B a^{10} d^{13} x^{2} + 5 \, A a^{9} b d^{13} x^{2} + \frac{1}{14} \, A a^{10} x^{14} e^{13} + A a^{10} d x^{13} e^{12} + \frac{13}{2} \, A a^{10} d^{2} x^{12} e^{11} + 26 \, A a^{10} d^{3} x^{11} e^{10} + \frac{143}{2} \, A a^{10} d^{4} x^{10} e^{9} + 143 \, A a^{10} d^{5} x^{9} e^{8} + \frac{429}{2} \, A a^{10} d^{6} x^{8} e^{7} + \frac{1716}{7} \, A a^{10} d^{7} x^{7} e^{6} + \frac{429}{2} \, A a^{10} d^{8} x^{6} e^{5} + 143 \, A a^{10} d^{9} x^{5} e^{4} + \frac{143}{2} \, A a^{10} d^{10} x^{4} e^{3} + 26 \, A a^{10} d^{11} x^{3} e^{2} + \frac{13}{2} \, A a^{10} d^{12} x^{2} e + A a^{10} d^{13} x"," ",0,"1/25*B*b^10*x^25*e^13 + 13/24*B*b^10*d*x^24*e^12 + 78/23*B*b^10*d^2*x^23*e^11 + 13*B*b^10*d^3*x^22*e^10 + 715/21*B*b^10*d^4*x^21*e^9 + 1287/20*B*b^10*d^5*x^20*e^8 + 1716/19*B*b^10*d^6*x^19*e^7 + 286/3*B*b^10*d^7*x^18*e^6 + 1287/17*B*b^10*d^8*x^17*e^5 + 715/16*B*b^10*d^9*x^16*e^4 + 286/15*B*b^10*d^10*x^15*e^3 + 39/7*B*b^10*d^11*x^14*e^2 + B*b^10*d^12*x^13*e + 1/12*B*b^10*d^13*x^12 + 5/12*B*a*b^9*x^24*e^13 + 1/24*A*b^10*x^24*e^13 + 130/23*B*a*b^9*d*x^23*e^12 + 13/23*A*b^10*d*x^23*e^12 + 390/11*B*a*b^9*d^2*x^22*e^11 + 39/11*A*b^10*d^2*x^22*e^11 + 2860/21*B*a*b^9*d^3*x^21*e^10 + 286/21*A*b^10*d^3*x^21*e^10 + 715/2*B*a*b^9*d^4*x^20*e^9 + 143/4*A*b^10*d^4*x^20*e^9 + 12870/19*B*a*b^9*d^5*x^19*e^8 + 1287/19*A*b^10*d^5*x^19*e^8 + 2860/3*B*a*b^9*d^6*x^18*e^7 + 286/3*A*b^10*d^6*x^18*e^7 + 17160/17*B*a*b^9*d^7*x^17*e^6 + 1716/17*A*b^10*d^7*x^17*e^6 + 6435/8*B*a*b^9*d^8*x^16*e^5 + 1287/16*A*b^10*d^8*x^16*e^5 + 1430/3*B*a*b^9*d^9*x^15*e^4 + 143/3*A*b^10*d^9*x^15*e^4 + 1430/7*B*a*b^9*d^10*x^14*e^3 + 143/7*A*b^10*d^10*x^14*e^3 + 60*B*a*b^9*d^11*x^13*e^2 + 6*A*b^10*d^11*x^13*e^2 + 65/6*B*a*b^9*d^12*x^12*e + 13/12*A*b^10*d^12*x^12*e + 10/11*B*a*b^9*d^13*x^11 + 1/11*A*b^10*d^13*x^11 + 45/23*B*a^2*b^8*x^23*e^13 + 10/23*A*a*b^9*x^23*e^13 + 585/22*B*a^2*b^8*d*x^22*e^12 + 65/11*A*a*b^9*d*x^22*e^12 + 1170/7*B*a^2*b^8*d^2*x^21*e^11 + 260/7*A*a*b^9*d^2*x^21*e^11 + 1287/2*B*a^2*b^8*d^3*x^20*e^10 + 143*A*a*b^9*d^3*x^20*e^10 + 32175/19*B*a^2*b^8*d^4*x^19*e^9 + 7150/19*A*a*b^9*d^4*x^19*e^9 + 6435/2*B*a^2*b^8*d^5*x^18*e^8 + 715*A*a*b^9*d^5*x^18*e^8 + 77220/17*B*a^2*b^8*d^6*x^17*e^7 + 17160/17*A*a*b^9*d^6*x^17*e^7 + 19305/4*B*a^2*b^8*d^7*x^16*e^6 + 2145/2*A*a*b^9*d^7*x^16*e^6 + 3861*B*a^2*b^8*d^8*x^15*e^5 + 858*A*a*b^9*d^8*x^15*e^5 + 32175/14*B*a^2*b^8*d^9*x^14*e^4 + 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32175/7*A*a^8*b^2*d^9*x^7*e^4 + 1430/3*B*a^9*b*d^10*x^6*e^3 + 2145*A*a^8*b^2*d^10*x^6*e^3 + 156*B*a^9*b*d^11*x^5*e^2 + 702*A*a^8*b^2*d^11*x^5*e^2 + 65/2*B*a^9*b*d^12*x^4*e + 585/4*A*a^8*b^2*d^12*x^4*e + 10/3*B*a^9*b*d^13*x^3 + 15*A*a^8*b^2*d^13*x^3 + 1/15*B*a^10*x^15*e^13 + 2/3*A*a^9*b*x^15*e^13 + 13/14*B*a^10*d*x^14*e^12 + 65/7*A*a^9*b*d*x^14*e^12 + 6*B*a^10*d^2*x^13*e^11 + 60*A*a^9*b*d^2*x^13*e^11 + 143/6*B*a^10*d^3*x^12*e^10 + 715/3*A*a^9*b*d^3*x^12*e^10 + 65*B*a^10*d^4*x^11*e^9 + 650*A*a^9*b*d^4*x^11*e^9 + 1287/10*B*a^10*d^5*x^10*e^8 + 1287*A*a^9*b*d^5*x^10*e^8 + 572/3*B*a^10*d^6*x^9*e^7 + 5720/3*A*a^9*b*d^6*x^9*e^7 + 429/2*B*a^10*d^7*x^8*e^6 + 2145*A*a^9*b*d^7*x^8*e^6 + 1287/7*B*a^10*d^8*x^7*e^5 + 12870/7*A*a^9*b*d^8*x^7*e^5 + 715/6*B*a^10*d^9*x^6*e^4 + 3575/3*A*a^9*b*d^9*x^6*e^4 + 286/5*B*a^10*d^10*x^5*e^3 + 572*A*a^9*b*d^10*x^5*e^3 + 39/2*B*a^10*d^11*x^4*e^2 + 195*A*a^9*b*d^11*x^4*e^2 + 13/3*B*a^10*d^12*x^3*e + 130/3*A*a^9*b*d^12*x^3*e + 1/2*B*a^10*d^13*x^2 + 5*A*a^9*b*d^13*x^2 + 1/14*A*a^10*x^14*e^13 + A*a^10*d*x^13*e^12 + 13/2*A*a^10*d^2*x^12*e^11 + 26*A*a^10*d^3*x^11*e^10 + 143/2*A*a^10*d^4*x^10*e^9 + 143*A*a^10*d^5*x^9*e^8 + 429/2*A*a^10*d^6*x^8*e^7 + 1716/7*A*a^10*d^7*x^7*e^6 + 429/2*A*a^10*d^8*x^6*e^5 + 143*A*a^10*d^9*x^5*e^4 + 143/2*A*a^10*d^10*x^4*e^3 + 26*A*a^10*d^11*x^3*e^2 + 13/2*A*a^10*d^12*x^2*e + A*a^10*d^13*x","B",0
1076,1,4443,0,1.409790," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d)^12,x, algorithm=""giac"")","\frac{1}{24} \, B b^{10} x^{24} e^{12} + \frac{12}{23} \, B b^{10} d x^{23} e^{11} + 3 \, B b^{10} d^{2} x^{22} e^{10} + \frac{220}{21} \, B b^{10} d^{3} x^{21} e^{9} + \frac{99}{4} \, B b^{10} d^{4} x^{20} e^{8} + \frac{792}{19} \, B b^{10} d^{5} x^{19} e^{7} + \frac{154}{3} \, B b^{10} d^{6} x^{18} e^{6} + \frac{792}{17} \, B b^{10} d^{7} x^{17} e^{5} + \frac{495}{16} \, B b^{10} d^{8} x^{16} e^{4} + \frac{44}{3} \, B b^{10} d^{9} x^{15} e^{3} + \frac{33}{7} \, B b^{10} d^{10} x^{14} e^{2} + \frac{12}{13} \, B b^{10} d^{11} x^{13} e + \frac{1}{12} \, B b^{10} d^{12} x^{12} + \frac{10}{23} \, B a b^{9} x^{23} e^{12} + \frac{1}{23} \, A b^{10} x^{23} e^{12} + \frac{60}{11} \, B a b^{9} d x^{22} e^{11} + \frac{6}{11} \, A b^{10} d x^{22} e^{11} + \frac{220}{7} \, B a b^{9} d^{2} x^{21} e^{10} + \frac{22}{7} \, A b^{10} d^{2} x^{21} e^{10} + 110 \, B a b^{9} d^{3} x^{20} e^{9} + 11 \, A b^{10} d^{3} x^{20} e^{9} + \frac{4950}{19} \, B a b^{9} d^{4} x^{19} e^{8} + \frac{495}{19} \, A b^{10} d^{4} x^{19} e^{8} + 440 \, B a b^{9} d^{5} x^{18} e^{7} + 44 \, A b^{10} d^{5} x^{18} e^{7} + \frac{9240}{17} \, B a b^{9} d^{6} x^{17} e^{6} + \frac{924}{17} \, A b^{10} d^{6} x^{17} e^{6} + 495 \, B a b^{9} d^{7} x^{16} e^{5} + \frac{99}{2} \, A b^{10} d^{7} x^{16} e^{5} + 330 \, B a b^{9} d^{8} x^{15} e^{4} + 33 \, A b^{10} d^{8} x^{15} e^{4} + \frac{1100}{7} \, B a b^{9} d^{9} x^{14} e^{3} + \frac{110}{7} \, A b^{10} d^{9} x^{14} e^{3} + \frac{660}{13} \, B a b^{9} d^{10} x^{13} e^{2} + \frac{66}{13} \, A b^{10} d^{10} x^{13} e^{2} + 10 \, B a b^{9} d^{11} x^{12} e + A b^{10} d^{11} x^{12} e + \frac{10}{11} \, B a b^{9} d^{12} x^{11} + \frac{1}{11} \, A b^{10} d^{12} x^{11} + \frac{45}{22} \, B a^{2} b^{8} x^{22} e^{12} + \frac{5}{11} \, A a b^{9} x^{22} e^{12} + \frac{180}{7} \, B a^{2} b^{8} d x^{21} e^{11} + \frac{40}{7} \, A a b^{9} d x^{21} e^{11} + \frac{297}{2} \, B a^{2} b^{8} d^{2} x^{20} e^{10} + 33 \, A a b^{9} d^{2} x^{20} e^{10} + \frac{9900}{19} \, B a^{2} b^{8} d^{3} x^{19} e^{9} + \frac{2200}{19} \, A a b^{9} d^{3} x^{19} e^{9} + \frac{2475}{2} \, B a^{2} b^{8} d^{4} x^{18} e^{8} + 275 \, A a b^{9} d^{4} x^{18} e^{8} + \frac{35640}{17} \, B a^{2} b^{8} d^{5} x^{17} e^{7} + \frac{7920}{17} \, A a b^{9} d^{5} x^{17} e^{7} + \frac{10395}{4} \, B a^{2} b^{8} d^{6} x^{16} e^{6} + \frac{1155}{2} \, A a b^{9} d^{6} x^{16} e^{6} + 2376 \, B a^{2} b^{8} d^{7} x^{15} e^{5} + 528 \, A a b^{9} d^{7} x^{15} e^{5} + \frac{22275}{14} \, B a^{2} b^{8} d^{8} x^{14} e^{4} + \frac{2475}{7} \, A a b^{9} d^{8} x^{14} e^{4} + \frac{9900}{13} \, B a^{2} b^{8} d^{9} x^{13} e^{3} + \frac{2200}{13} \, A a b^{9} d^{9} x^{13} e^{3} + \frac{495}{2} \, B a^{2} b^{8} d^{10} x^{12} e^{2} + 55 \, A a b^{9} d^{10} x^{12} e^{2} + \frac{540}{11} \, B a^{2} b^{8} d^{11} x^{11} e + \frac{120}{11} \, A a b^{9} d^{11} x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d^{12} x^{10} + A a b^{9} d^{12} x^{10} + \frac{40}{7} \, B a^{3} b^{7} x^{21} e^{12} + \frac{15}{7} \, A a^{2} b^{8} x^{21} e^{12} + 72 \, B a^{3} b^{7} d x^{20} e^{11} + 27 \, A a^{2} b^{8} d x^{20} e^{11} + \frac{7920}{19} \, B a^{3} b^{7} d^{2} x^{19} e^{10} + \frac{2970}{19} \, A a^{2} b^{8} d^{2} x^{19} e^{10} + \frac{4400}{3} \, B a^{3} b^{7} d^{3} x^{18} e^{9} + 550 \, A a^{2} b^{8} d^{3} x^{18} e^{9} + \frac{59400}{17} \, B a^{3} b^{7} d^{4} x^{17} e^{8} + \frac{22275}{17} \, A a^{2} b^{8} d^{4} x^{17} e^{8} + 5940 \, B a^{3} b^{7} d^{5} x^{16} e^{7} + \frac{4455}{2} \, A a^{2} b^{8} d^{5} x^{16} e^{7} + 7392 \, B a^{3} b^{7} d^{6} x^{15} e^{6} + 2772 \, A a^{2} b^{8} d^{6} x^{15} e^{6} + \frac{47520}{7} \, B a^{3} b^{7} d^{7} x^{14} e^{5} + \frac{17820}{7} \, A a^{2} b^{8} d^{7} x^{14} e^{5} + \frac{59400}{13} \, B a^{3} b^{7} d^{8} x^{13} e^{4} + \frac{22275}{13} \, A a^{2} b^{8} d^{8} x^{13} e^{4} + 2200 \, B a^{3} b^{7} d^{9} x^{12} e^{3} + 825 \, A a^{2} b^{8} d^{9} x^{12} e^{3} + 720 \, B a^{3} b^{7} d^{10} x^{11} e^{2} + 270 \, A a^{2} b^{8} d^{10} x^{11} e^{2} + 144 \, B a^{3} b^{7} d^{11} x^{10} e + 54 \, A a^{2} b^{8} d^{11} x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d^{12} x^{9} + 5 \, A a^{2} b^{8} d^{12} x^{9} + \frac{21}{2} \, B a^{4} b^{6} x^{20} e^{12} + 6 \, A a^{3} b^{7} x^{20} e^{12} + \frac{2520}{19} \, B a^{4} b^{6} d x^{19} e^{11} + \frac{1440}{19} \, A a^{3} b^{7} d x^{19} e^{11} + 770 \, B a^{4} b^{6} d^{2} x^{18} e^{10} + 440 \, A a^{3} b^{7} d^{2} x^{18} e^{10} + \frac{46200}{17} \, B a^{4} b^{6} d^{3} x^{17} e^{9} + \frac{26400}{17} \, A a^{3} b^{7} d^{3} x^{17} e^{9} + \frac{51975}{8} \, B a^{4} b^{6} d^{4} x^{16} e^{8} + \frac{7425}{2} \, A a^{3} b^{7} d^{4} x^{16} e^{8} + 11088 \, B a^{4} b^{6} d^{5} x^{15} e^{7} + 6336 \, A a^{3} b^{7} d^{5} x^{15} e^{7} + 13860 \, B a^{4} b^{6} d^{6} x^{14} e^{6} + 7920 \, A a^{3} b^{7} d^{6} x^{14} e^{6} + \frac{166320}{13} \, B a^{4} b^{6} d^{7} x^{13} e^{5} + \frac{95040}{13} \, A a^{3} b^{7} d^{7} x^{13} e^{5} + \frac{17325}{2} \, B a^{4} b^{6} d^{8} x^{12} e^{4} + 4950 \, A a^{3} b^{7} d^{8} x^{12} e^{4} + 4200 \, B a^{4} b^{6} d^{9} x^{11} e^{3} + 2400 \, A a^{3} b^{7} d^{9} x^{11} e^{3} + 1386 \, B a^{4} b^{6} d^{10} x^{10} e^{2} + 792 \, A a^{3} b^{7} d^{10} x^{10} e^{2} + 280 \, B a^{4} b^{6} d^{11} x^{9} e + 160 \, A a^{3} b^{7} d^{11} x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d^{12} x^{8} + 15 \, A a^{3} b^{7} d^{12} x^{8} + \frac{252}{19} \, B a^{5} b^{5} x^{19} e^{12} + \frac{210}{19} \, A a^{4} b^{6} x^{19} e^{12} + 168 \, B a^{5} b^{5} d x^{18} e^{11} + 140 \, A a^{4} b^{6} d x^{18} e^{11} + \frac{16632}{17} \, B a^{5} b^{5} d^{2} x^{17} e^{10} + \frac{13860}{17} \, A a^{4} b^{6} d^{2} x^{17} e^{10} + 3465 \, B a^{5} b^{5} d^{3} x^{16} e^{9} + \frac{5775}{2} \, A a^{4} b^{6} d^{3} x^{16} e^{9} + 8316 \, B a^{5} b^{5} d^{4} x^{15} e^{8} + 6930 \, A a^{4} b^{6} d^{4} x^{15} e^{8} + 14256 \, B a^{5} b^{5} d^{5} x^{14} e^{7} + 11880 \, A a^{4} b^{6} d^{5} x^{14} e^{7} + \frac{232848}{13} \, B a^{5} b^{5} d^{6} x^{13} e^{6} + \frac{194040}{13} \, A a^{4} b^{6} d^{6} x^{13} e^{6} + 16632 \, B a^{5} b^{5} d^{7} x^{12} e^{5} + 13860 \, A a^{4} b^{6} d^{7} x^{12} e^{5} + 11340 \, B a^{5} b^{5} d^{8} x^{11} e^{4} + 9450 \, A a^{4} b^{6} d^{8} x^{11} e^{4} + 5544 \, B a^{5} b^{5} d^{9} x^{10} e^{3} + 4620 \, A a^{4} b^{6} d^{9} x^{10} e^{3} + 1848 \, B a^{5} b^{5} d^{10} x^{9} e^{2} + 1540 \, A a^{4} b^{6} d^{10} x^{9} e^{2} + 378 \, B a^{5} b^{5} d^{11} x^{8} e + 315 \, A a^{4} b^{6} d^{11} x^{8} e + 36 \, B a^{5} b^{5} d^{12} x^{7} + 30 \, A a^{4} b^{6} d^{12} x^{7} + \frac{35}{3} \, B a^{6} b^{4} x^{18} e^{12} + 14 \, A a^{5} b^{5} x^{18} e^{12} + \frac{2520}{17} \, B a^{6} b^{4} d x^{17} e^{11} + \frac{3024}{17} \, A a^{5} b^{5} d x^{17} e^{11} + \frac{3465}{4} \, B a^{6} b^{4} d^{2} x^{16} e^{10} + \frac{2079}{2} \, A a^{5} b^{5} d^{2} x^{16} e^{10} + 3080 \, B a^{6} b^{4} d^{3} x^{15} e^{9} + 3696 \, A a^{5} b^{5} d^{3} x^{15} e^{9} + 7425 \, B a^{6} b^{4} d^{4} x^{14} e^{8} + 8910 \, A a^{5} b^{5} d^{4} x^{14} e^{8} + \frac{166320}{13} \, B a^{6} b^{4} d^{5} x^{13} e^{7} + \frac{199584}{13} \, A a^{5} b^{5} d^{5} x^{13} e^{7} + 16170 \, B a^{6} b^{4} d^{6} x^{12} e^{6} + 19404 \, A a^{5} b^{5} d^{6} x^{12} e^{6} + 15120 \, B a^{6} b^{4} d^{7} x^{11} e^{5} + 18144 \, A a^{5} b^{5} d^{7} x^{11} e^{5} + 10395 \, B a^{6} b^{4} d^{8} x^{10} e^{4} + 12474 \, A a^{5} b^{5} d^{8} x^{10} e^{4} + \frac{15400}{3} \, B a^{6} b^{4} d^{9} x^{9} e^{3} + 6160 \, A a^{5} b^{5} d^{9} x^{9} e^{3} + \frac{3465}{2} \, B a^{6} b^{4} d^{10} x^{8} e^{2} + 2079 \, A a^{5} b^{5} d^{10} x^{8} e^{2} + 360 \, B a^{6} b^{4} d^{11} x^{7} e + 432 \, A a^{5} b^{5} d^{11} x^{7} e + 35 \, B a^{6} b^{4} d^{12} x^{6} + 42 \, A a^{5} b^{5} d^{12} x^{6} + \frac{120}{17} \, B a^{7} b^{3} x^{17} e^{12} + \frac{210}{17} \, A a^{6} b^{4} x^{17} e^{12} + 90 \, B a^{7} b^{3} d x^{16} e^{11} + \frac{315}{2} \, A a^{6} b^{4} d x^{16} e^{11} + 528 \, B a^{7} b^{3} d^{2} x^{15} e^{10} + 924 \, A a^{6} b^{4} d^{2} x^{15} e^{10} + \frac{13200}{7} \, B a^{7} b^{3} d^{3} x^{14} e^{9} + 3300 \, A a^{6} b^{4} d^{3} x^{14} e^{9} + \frac{59400}{13} \, B a^{7} b^{3} d^{4} x^{13} e^{8} + \frac{103950}{13} \, A a^{6} b^{4} d^{4} x^{13} e^{8} + 7920 \, B a^{7} b^{3} d^{5} x^{12} e^{7} + 13860 \, A a^{6} b^{4} d^{5} x^{12} e^{7} + 10080 \, B a^{7} b^{3} d^{6} x^{11} e^{6} + 17640 \, A a^{6} b^{4} d^{6} x^{11} e^{6} + 9504 \, B a^{7} b^{3} d^{7} x^{10} e^{5} + 16632 \, A a^{6} b^{4} d^{7} x^{10} e^{5} + 6600 \, B a^{7} b^{3} d^{8} x^{9} e^{4} + 11550 \, A a^{6} b^{4} d^{8} x^{9} e^{4} + 3300 \, B a^{7} b^{3} d^{9} x^{8} e^{3} + 5775 \, A a^{6} b^{4} d^{9} x^{8} e^{3} + \frac{7920}{7} \, B a^{7} b^{3} d^{10} x^{7} e^{2} + 1980 \, A a^{6} b^{4} d^{10} x^{7} e^{2} + 240 \, B a^{7} b^{3} d^{11} x^{6} e + 420 \, A a^{6} b^{4} d^{11} x^{6} e + 24 \, B a^{7} b^{3} d^{12} x^{5} + 42 \, A a^{6} b^{4} d^{12} x^{5} + \frac{45}{16} \, B a^{8} b^{2} x^{16} e^{12} + \frac{15}{2} \, A a^{7} b^{3} x^{16} e^{12} + 36 \, B a^{8} b^{2} d x^{15} e^{11} + 96 \, A a^{7} b^{3} d x^{15} e^{11} + \frac{1485}{7} \, B a^{8} b^{2} d^{2} x^{14} e^{10} + \frac{3960}{7} \, A a^{7} b^{3} d^{2} x^{14} e^{10} + \frac{9900}{13} \, B a^{8} b^{2} d^{3} x^{13} e^{9} + \frac{26400}{13} \, A a^{7} b^{3} d^{3} x^{13} e^{9} + \frac{7425}{4} \, B a^{8} b^{2} d^{4} x^{12} e^{8} + 4950 \, A a^{7} b^{3} d^{4} x^{12} e^{8} + 3240 \, B a^{8} b^{2} d^{5} x^{11} e^{7} + 8640 \, A a^{7} b^{3} d^{5} x^{11} e^{7} + 4158 \, B a^{8} b^{2} d^{6} x^{10} e^{6} + 11088 \, A a^{7} b^{3} d^{6} x^{10} e^{6} + 3960 \, B a^{8} b^{2} d^{7} x^{9} e^{5} + 10560 \, A a^{7} b^{3} d^{7} x^{9} e^{5} + \frac{22275}{8} \, B a^{8} b^{2} d^{8} x^{8} e^{4} + 7425 \, A a^{7} b^{3} d^{8} x^{8} e^{4} + \frac{9900}{7} \, B a^{8} b^{2} d^{9} x^{7} e^{3} + \frac{26400}{7} \, A a^{7} b^{3} d^{9} x^{7} e^{3} + 495 \, B a^{8} b^{2} d^{10} x^{6} e^{2} + 1320 \, A a^{7} b^{3} d^{10} x^{6} e^{2} + 108 \, B a^{8} b^{2} d^{11} x^{5} e + 288 \, A a^{7} b^{3} d^{11} x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d^{12} x^{4} + 30 \, A a^{7} b^{3} d^{12} x^{4} + \frac{2}{3} \, B a^{9} b x^{15} e^{12} + 3 \, A a^{8} b^{2} x^{15} e^{12} + \frac{60}{7} \, B a^{9} b d x^{14} e^{11} + \frac{270}{7} \, A a^{8} b^{2} d x^{14} e^{11} + \frac{660}{13} \, B a^{9} b d^{2} x^{13} e^{10} + \frac{2970}{13} \, A a^{8} b^{2} d^{2} x^{13} e^{10} + \frac{550}{3} \, B a^{9} b d^{3} x^{12} e^{9} + 825 \, A a^{8} b^{2} d^{3} x^{12} e^{9} + 450 \, B a^{9} b d^{4} x^{11} e^{8} + 2025 \, A a^{8} b^{2} d^{4} x^{11} e^{8} + 792 \, B a^{9} b d^{5} x^{10} e^{7} + 3564 \, A a^{8} b^{2} d^{5} x^{10} e^{7} + \frac{3080}{3} \, B a^{9} b d^{6} x^{9} e^{6} + 4620 \, A a^{8} b^{2} d^{6} x^{9} e^{6} + 990 \, B a^{9} b d^{7} x^{8} e^{5} + 4455 \, A a^{8} b^{2} d^{7} x^{8} e^{5} + \frac{4950}{7} \, B a^{9} b d^{8} x^{7} e^{4} + \frac{22275}{7} \, A a^{8} b^{2} d^{8} x^{7} e^{4} + \frac{1100}{3} \, B a^{9} b d^{9} x^{6} e^{3} + 1650 \, A a^{8} b^{2} d^{9} x^{6} e^{3} + 132 \, B a^{9} b d^{10} x^{5} e^{2} + 594 \, A a^{8} b^{2} d^{10} x^{5} e^{2} + 30 \, B a^{9} b d^{11} x^{4} e + 135 \, A a^{8} b^{2} d^{11} x^{4} e + \frac{10}{3} \, B a^{9} b d^{12} x^{3} + 15 \, A a^{8} b^{2} d^{12} x^{3} + \frac{1}{14} \, B a^{10} x^{14} e^{12} + \frac{5}{7} \, A a^{9} b x^{14} e^{12} + \frac{12}{13} \, B a^{10} d x^{13} e^{11} + \frac{120}{13} \, A a^{9} b d x^{13} e^{11} + \frac{11}{2} \, B a^{10} d^{2} x^{12} e^{10} + 55 \, A a^{9} b d^{2} x^{12} e^{10} + 20 \, B a^{10} d^{3} x^{11} e^{9} + 200 \, A a^{9} b d^{3} x^{11} e^{9} + \frac{99}{2} \, B a^{10} d^{4} x^{10} e^{8} + 495 \, A a^{9} b d^{4} x^{10} e^{8} + 88 \, B a^{10} d^{5} x^{9} e^{7} + 880 \, A a^{9} b d^{5} x^{9} e^{7} + \frac{231}{2} \, B a^{10} d^{6} x^{8} e^{6} + 1155 \, A a^{9} b d^{6} x^{8} e^{6} + \frac{792}{7} \, B a^{10} d^{7} x^{7} e^{5} + \frac{7920}{7} \, A a^{9} b d^{7} x^{7} e^{5} + \frac{165}{2} \, B a^{10} d^{8} x^{6} e^{4} + 825 \, A a^{9} b d^{8} x^{6} e^{4} + 44 \, B a^{10} d^{9} x^{5} e^{3} + 440 \, A a^{9} b d^{9} x^{5} e^{3} + \frac{33}{2} \, B a^{10} d^{10} x^{4} e^{2} + 165 \, A a^{9} b d^{10} x^{4} e^{2} + 4 \, B a^{10} d^{11} x^{3} e + 40 \, A a^{9} b d^{11} x^{3} e + \frac{1}{2} \, B a^{10} d^{12} x^{2} + 5 \, A a^{9} b d^{12} x^{2} + \frac{1}{13} \, A a^{10} x^{13} e^{12} + A a^{10} d x^{12} e^{11} + 6 \, A a^{10} d^{2} x^{11} e^{10} + 22 \, A a^{10} d^{3} x^{10} e^{9} + 55 \, A a^{10} d^{4} x^{9} e^{8} + 99 \, A a^{10} d^{5} x^{8} e^{7} + 132 \, A a^{10} d^{6} x^{7} e^{6} + 132 \, A a^{10} d^{7} x^{6} e^{5} + 99 \, A a^{10} d^{8} x^{5} e^{4} + 55 \, A a^{10} d^{9} x^{4} e^{3} + 22 \, A a^{10} d^{10} x^{3} e^{2} + 6 \, A a^{10} d^{11} x^{2} e + A a^{10} d^{12} x"," ",0,"1/24*B*b^10*x^24*e^12 + 12/23*B*b^10*d*x^23*e^11 + 3*B*b^10*d^2*x^22*e^10 + 220/21*B*b^10*d^3*x^21*e^9 + 99/4*B*b^10*d^4*x^20*e^8 + 792/19*B*b^10*d^5*x^19*e^7 + 154/3*B*b^10*d^6*x^18*e^6 + 792/17*B*b^10*d^7*x^17*e^5 + 495/16*B*b^10*d^8*x^16*e^4 + 44/3*B*b^10*d^9*x^15*e^3 + 33/7*B*b^10*d^10*x^14*e^2 + 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15*A*a^8*b^2*d^12*x^3 + 1/14*B*a^10*x^14*e^12 + 5/7*A*a^9*b*x^14*e^12 + 12/13*B*a^10*d*x^13*e^11 + 120/13*A*a^9*b*d*x^13*e^11 + 11/2*B*a^10*d^2*x^12*e^10 + 55*A*a^9*b*d^2*x^12*e^10 + 20*B*a^10*d^3*x^11*e^9 + 200*A*a^9*b*d^3*x^11*e^9 + 99/2*B*a^10*d^4*x^10*e^8 + 495*A*a^9*b*d^4*x^10*e^8 + 88*B*a^10*d^5*x^9*e^7 + 880*A*a^9*b*d^5*x^9*e^7 + 231/2*B*a^10*d^6*x^8*e^6 + 1155*A*a^9*b*d^6*x^8*e^6 + 792/7*B*a^10*d^7*x^7*e^5 + 7920/7*A*a^9*b*d^7*x^7*e^5 + 165/2*B*a^10*d^8*x^6*e^4 + 825*A*a^9*b*d^8*x^6*e^4 + 44*B*a^10*d^9*x^5*e^3 + 440*A*a^9*b*d^9*x^5*e^3 + 33/2*B*a^10*d^10*x^4*e^2 + 165*A*a^9*b*d^10*x^4*e^2 + 4*B*a^10*d^11*x^3*e + 40*A*a^9*b*d^11*x^3*e + 1/2*B*a^10*d^12*x^2 + 5*A*a^9*b*d^12*x^2 + 1/13*A*a^10*x^13*e^12 + A*a^10*d*x^12*e^11 + 6*A*a^10*d^2*x^11*e^10 + 22*A*a^10*d^3*x^10*e^9 + 55*A*a^10*d^4*x^9*e^8 + 99*A*a^10*d^5*x^8*e^7 + 132*A*a^10*d^6*x^7*e^6 + 132*A*a^10*d^7*x^6*e^5 + 99*A*a^10*d^8*x^5*e^4 + 55*A*a^10*d^9*x^4*e^3 + 22*A*a^10*d^10*x^3*e^2 + 6*A*a^10*d^11*x^2*e + A*a^10*d^12*x","B",0
1077,1,4090,0,1.321686," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d)^11,x, algorithm=""giac"")","\frac{1}{23} \, B b^{10} x^{23} e^{11} + \frac{1}{2} \, B b^{10} d x^{22} e^{10} + \frac{55}{21} \, B b^{10} d^{2} x^{21} e^{9} + \frac{33}{4} \, B b^{10} d^{3} x^{20} e^{8} + \frac{330}{19} \, B b^{10} d^{4} x^{19} e^{7} + \frac{77}{3} \, B b^{10} d^{5} x^{18} e^{6} + \frac{462}{17} \, B b^{10} d^{6} x^{17} e^{5} + \frac{165}{8} \, B b^{10} d^{7} x^{16} e^{4} + 11 \, B b^{10} d^{8} x^{15} e^{3} + \frac{55}{14} \, B b^{10} d^{9} x^{14} e^{2} + \frac{11}{13} \, B b^{10} d^{10} x^{13} e + \frac{1}{12} \, B b^{10} d^{11} x^{12} + \frac{5}{11} \, B a b^{9} x^{22} e^{11} + \frac{1}{22} \, A b^{10} x^{22} e^{11} + \frac{110}{21} \, B a b^{9} d x^{21} e^{10} + \frac{11}{21} \, A b^{10} d x^{21} e^{10} + \frac{55}{2} \, B a b^{9} d^{2} x^{20} e^{9} + \frac{11}{4} \, A b^{10} d^{2} x^{20} e^{9} + \frac{1650}{19} \, B a b^{9} d^{3} x^{19} e^{8} + \frac{165}{19} \, A b^{10} d^{3} x^{19} e^{8} + \frac{550}{3} \, B a b^{9} d^{4} x^{18} e^{7} + \frac{55}{3} \, A b^{10} d^{4} x^{18} e^{7} + \frac{4620}{17} \, B a b^{9} d^{5} x^{17} e^{6} + \frac{462}{17} \, A b^{10} d^{5} x^{17} e^{6} + \frac{1155}{4} \, B a b^{9} d^{6} x^{16} e^{5} + \frac{231}{8} \, A b^{10} d^{6} x^{16} e^{5} + 220 \, B a b^{9} d^{7} x^{15} e^{4} + 22 \, A b^{10} d^{7} x^{15} e^{4} + \frac{825}{7} \, B a b^{9} d^{8} x^{14} e^{3} + \frac{165}{14} \, A b^{10} d^{8} x^{14} e^{3} + \frac{550}{13} \, B a b^{9} d^{9} x^{13} e^{2} + \frac{55}{13} \, A b^{10} d^{9} x^{13} e^{2} + \frac{55}{6} \, B a b^{9} d^{10} x^{12} e + \frac{11}{12} \, A b^{10} d^{10} x^{12} e + \frac{10}{11} \, B a b^{9} d^{11} x^{11} + \frac{1}{11} \, A b^{10} d^{11} x^{11} + \frac{15}{7} \, B a^{2} b^{8} x^{21} e^{11} + \frac{10}{21} \, A a b^{9} x^{21} e^{11} + \frac{99}{4} \, B a^{2} b^{8} d x^{20} e^{10} + \frac{11}{2} \, A a b^{9} d x^{20} e^{10} + \frac{2475}{19} \, B a^{2} b^{8} d^{2} x^{19} e^{9} + \frac{550}{19} \, A a b^{9} d^{2} x^{19} e^{9} + \frac{825}{2} \, B a^{2} b^{8} d^{3} x^{18} e^{8} + \frac{275}{3} \, A a b^{9} d^{3} x^{18} e^{8} + \frac{14850}{17} \, B a^{2} b^{8} d^{4} x^{17} e^{7} + \frac{3300}{17} \, A a b^{9} d^{4} x^{17} e^{7} + \frac{10395}{8} \, B a^{2} b^{8} d^{5} x^{16} e^{6} + \frac{1155}{4} \, A a b^{9} d^{5} x^{16} e^{6} + 1386 \, B a^{2} b^{8} d^{6} x^{15} e^{5} + 308 \, A a b^{9} d^{6} x^{15} e^{5} + \frac{7425}{7} \, B a^{2} b^{8} d^{7} x^{14} e^{4} + \frac{1650}{7} \, A a b^{9} d^{7} x^{14} e^{4} + \frac{7425}{13} \, B a^{2} b^{8} d^{8} x^{13} e^{3} + \frac{1650}{13} \, A a b^{9} d^{8} x^{13} e^{3} + \frac{825}{4} \, B a^{2} b^{8} d^{9} x^{12} e^{2} + \frac{275}{6} \, A a b^{9} d^{9} x^{12} e^{2} + 45 \, B a^{2} b^{8} d^{10} x^{11} e + 10 \, A a b^{9} d^{10} x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d^{11} x^{10} + A a b^{9} d^{11} x^{10} + 6 \, B a^{3} b^{7} x^{20} e^{11} + \frac{9}{4} \, A a^{2} b^{8} x^{20} e^{11} + \frac{1320}{19} \, B a^{3} b^{7} d x^{19} e^{10} + \frac{495}{19} \, A a^{2} b^{8} d x^{19} e^{10} + \frac{1100}{3} \, B a^{3} b^{7} d^{2} x^{18} e^{9} + \frac{275}{2} \, A a^{2} b^{8} d^{2} x^{18} e^{9} + \frac{19800}{17} \, B a^{3} b^{7} d^{3} x^{17} e^{8} + \frac{7425}{17} \, A a^{2} b^{8} d^{3} x^{17} e^{8} + 2475 \, B a^{3} b^{7} d^{4} x^{16} e^{7} + \frac{7425}{8} \, A a^{2} b^{8} d^{4} x^{16} e^{7} + 3696 \, B a^{3} b^{7} d^{5} x^{15} e^{6} + 1386 \, A a^{2} b^{8} d^{5} x^{15} e^{6} + 3960 \, B a^{3} b^{7} d^{6} x^{14} e^{5} + 1485 \, A a^{2} b^{8} d^{6} x^{14} e^{5} + \frac{39600}{13} \, B a^{3} b^{7} d^{7} x^{13} e^{4} + \frac{14850}{13} \, A a^{2} b^{8} d^{7} x^{13} e^{4} + 1650 \, B a^{3} b^{7} d^{8} x^{12} e^{3} + \frac{2475}{4} \, A a^{2} b^{8} d^{8} x^{12} e^{3} + 600 \, B a^{3} b^{7} d^{9} x^{11} e^{2} + 225 \, A a^{2} b^{8} d^{9} x^{11} e^{2} + 132 \, B a^{3} b^{7} d^{10} x^{10} e + \frac{99}{2} \, A a^{2} b^{8} d^{10} x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d^{11} x^{9} + 5 \, A a^{2} b^{8} d^{11} x^{9} + \frac{210}{19} \, B a^{4} b^{6} x^{19} e^{11} + \frac{120}{19} \, A a^{3} b^{7} x^{19} e^{11} + \frac{385}{3} \, B a^{4} b^{6} d x^{18} e^{10} + \frac{220}{3} \, A a^{3} b^{7} d x^{18} e^{10} + \frac{11550}{17} \, B a^{4} b^{6} d^{2} x^{17} e^{9} + \frac{6600}{17} \, A a^{3} b^{7} d^{2} x^{17} e^{9} + \frac{17325}{8} \, B a^{4} b^{6} d^{3} x^{16} e^{8} + \frac{2475}{2} \, A a^{3} b^{7} d^{3} x^{16} e^{8} + 4620 \, B a^{4} b^{6} d^{4} x^{15} e^{7} + 2640 \, A a^{3} b^{7} d^{4} x^{15} e^{7} + 6930 \, B a^{4} b^{6} d^{5} x^{14} e^{6} + 3960 \, A a^{3} b^{7} d^{5} x^{14} e^{6} + \frac{97020}{13} \, B a^{4} b^{6} d^{6} x^{13} e^{5} + \frac{55440}{13} \, A a^{3} b^{7} d^{6} x^{13} e^{5} + 5775 \, B a^{4} b^{6} d^{7} x^{12} e^{4} + 3300 \, A a^{3} b^{7} d^{7} x^{12} e^{4} + 3150 \, B a^{4} b^{6} d^{8} x^{11} e^{3} + 1800 \, A a^{3} b^{7} d^{8} x^{11} e^{3} + 1155 \, B a^{4} b^{6} d^{9} x^{10} e^{2} + 660 \, A a^{3} b^{7} d^{9} x^{10} e^{2} + \frac{770}{3} \, B a^{4} b^{6} d^{10} x^{9} e + \frac{440}{3} \, A a^{3} b^{7} d^{10} x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d^{11} x^{8} + 15 \, A a^{3} b^{7} d^{11} x^{8} + 14 \, B a^{5} b^{5} x^{18} e^{11} + \frac{35}{3} \, A a^{4} b^{6} x^{18} e^{11} + \frac{2772}{17} \, B a^{5} b^{5} d x^{17} e^{10} + \frac{2310}{17} \, A a^{4} b^{6} d x^{17} e^{10} + \frac{3465}{4} \, B a^{5} b^{5} d^{2} x^{16} e^{9} + \frac{5775}{8} \, A a^{4} b^{6} d^{2} x^{16} e^{9} + 2772 \, B a^{5} b^{5} d^{3} x^{15} e^{8} + 2310 \, A a^{4} b^{6} d^{3} x^{15} e^{8} + 5940 \, B a^{5} b^{5} d^{4} x^{14} e^{7} + 4950 \, A a^{4} b^{6} d^{4} x^{14} e^{7} + \frac{116424}{13} \, B a^{5} b^{5} d^{5} x^{13} e^{6} + \frac{97020}{13} \, A a^{4} b^{6} d^{5} x^{13} e^{6} + 9702 \, B a^{5} b^{5} d^{6} x^{12} e^{5} + 8085 \, A a^{4} b^{6} d^{6} x^{12} e^{5} + 7560 \, B a^{5} b^{5} d^{7} x^{11} e^{4} + 6300 \, A a^{4} b^{6} d^{7} x^{11} e^{4} + 4158 \, B a^{5} b^{5} d^{8} x^{10} e^{3} + 3465 \, A a^{4} b^{6} d^{8} x^{10} e^{3} + 1540 \, B a^{5} b^{5} d^{9} x^{9} e^{2} + \frac{3850}{3} \, A a^{4} b^{6} d^{9} x^{9} e^{2} + \frac{693}{2} \, B a^{5} b^{5} d^{10} x^{8} e + \frac{1155}{4} \, A a^{4} b^{6} d^{10} x^{8} e + 36 \, B a^{5} b^{5} d^{11} x^{7} + 30 \, A a^{4} b^{6} d^{11} x^{7} + \frac{210}{17} \, B a^{6} b^{4} x^{17} e^{11} + \frac{252}{17} \, A a^{5} b^{5} x^{17} e^{11} + \frac{1155}{8} \, B a^{6} b^{4} d x^{16} e^{10} + \frac{693}{4} \, A a^{5} b^{5} d x^{16} e^{10} + 770 \, B a^{6} b^{4} d^{2} x^{15} e^{9} + 924 \, A a^{5} b^{5} d^{2} x^{15} e^{9} + 2475 \, B a^{6} b^{4} d^{3} x^{14} e^{8} + 2970 \, A a^{5} b^{5} d^{3} x^{14} e^{8} + \frac{69300}{13} \, B a^{6} b^{4} d^{4} x^{13} e^{7} + \frac{83160}{13} \, A a^{5} b^{5} d^{4} x^{13} e^{7} + 8085 \, B a^{6} b^{4} d^{5} x^{12} e^{6} + 9702 \, A a^{5} b^{5} d^{5} x^{12} e^{6} + 8820 \, B a^{6} b^{4} d^{6} x^{11} e^{5} + 10584 \, A a^{5} b^{5} d^{6} x^{11} e^{5} + 6930 \, B a^{6} b^{4} d^{7} x^{10} e^{4} + 8316 \, A a^{5} b^{5} d^{7} x^{10} e^{4} + 3850 \, B a^{6} b^{4} d^{8} x^{9} e^{3} + 4620 \, A a^{5} b^{5} d^{8} x^{9} e^{3} + \frac{5775}{4} \, B a^{6} b^{4} d^{9} x^{8} e^{2} + \frac{3465}{2} \, A a^{5} b^{5} d^{9} x^{8} e^{2} + 330 \, B a^{6} b^{4} d^{10} x^{7} e + 396 \, A a^{5} b^{5} d^{10} x^{7} e + 35 \, B a^{6} b^{4} d^{11} x^{6} + 42 \, A a^{5} b^{5} d^{11} x^{6} + \frac{15}{2} \, B a^{7} b^{3} x^{16} e^{11} + \frac{105}{8} \, A a^{6} b^{4} x^{16} e^{11} + 88 \, B a^{7} b^{3} d x^{15} e^{10} + 154 \, A a^{6} b^{4} d x^{15} e^{10} + \frac{3300}{7} \, B a^{7} b^{3} d^{2} x^{14} e^{9} + 825 \, A a^{6} b^{4} d^{2} x^{14} e^{9} + \frac{19800}{13} \, B a^{7} b^{3} d^{3} x^{13} e^{8} + \frac{34650}{13} \, A a^{6} b^{4} d^{3} x^{13} e^{8} + 3300 \, B a^{7} b^{3} d^{4} x^{12} e^{7} + 5775 \, A a^{6} b^{4} d^{4} x^{12} e^{7} + 5040 \, B a^{7} b^{3} d^{5} x^{11} e^{6} + 8820 \, A a^{6} b^{4} d^{5} x^{11} e^{6} + 5544 \, B a^{7} b^{3} d^{6} x^{10} e^{5} + 9702 \, A a^{6} b^{4} d^{6} x^{10} e^{5} + 4400 \, B a^{7} b^{3} d^{7} x^{9} e^{4} + 7700 \, A a^{6} b^{4} d^{7} x^{9} e^{4} + 2475 \, B a^{7} b^{3} d^{8} x^{8} e^{3} + \frac{17325}{4} \, A a^{6} b^{4} d^{8} x^{8} e^{3} + \frac{6600}{7} \, B a^{7} b^{3} d^{9} x^{7} e^{2} + 1650 \, A a^{6} b^{4} d^{9} x^{7} e^{2} + 220 \, B a^{7} b^{3} d^{10} x^{6} e + 385 \, A a^{6} b^{4} d^{10} x^{6} e + 24 \, B a^{7} b^{3} d^{11} x^{5} + 42 \, A a^{6} b^{4} d^{11} x^{5} + 3 \, B a^{8} b^{2} x^{15} e^{11} + 8 \, A a^{7} b^{3} x^{15} e^{11} + \frac{495}{14} \, B a^{8} b^{2} d x^{14} e^{10} + \frac{660}{7} \, A a^{7} b^{3} d x^{14} e^{10} + \frac{2475}{13} \, B a^{8} b^{2} d^{2} x^{13} e^{9} + \frac{6600}{13} \, A a^{7} b^{3} d^{2} x^{13} e^{9} + \frac{2475}{4} \, B a^{8} b^{2} d^{3} x^{12} e^{8} + 1650 \, A a^{7} b^{3} d^{3} x^{12} e^{8} + 1350 \, B a^{8} b^{2} d^{4} x^{11} e^{7} + 3600 \, A a^{7} b^{3} d^{4} x^{11} e^{7} + 2079 \, B a^{8} b^{2} d^{5} x^{10} e^{6} + 5544 \, A a^{7} b^{3} d^{5} x^{10} e^{6} + 2310 \, B a^{8} b^{2} d^{6} x^{9} e^{5} + 6160 \, A a^{7} b^{3} d^{6} x^{9} e^{5} + \frac{7425}{4} \, B a^{8} b^{2} d^{7} x^{8} e^{4} + 4950 \, A a^{7} b^{3} d^{7} x^{8} e^{4} + \frac{7425}{7} \, B a^{8} b^{2} d^{8} x^{7} e^{3} + \frac{19800}{7} \, A a^{7} b^{3} d^{8} x^{7} e^{3} + \frac{825}{2} \, B a^{8} b^{2} d^{9} x^{6} e^{2} + 1100 \, A a^{7} b^{3} d^{9} x^{6} e^{2} + 99 \, B a^{8} b^{2} d^{10} x^{5} e + 264 \, A a^{7} b^{3} d^{10} x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d^{11} x^{4} + 30 \, A a^{7} b^{3} d^{11} x^{4} + \frac{5}{7} \, B a^{9} b x^{14} e^{11} + \frac{45}{14} \, A a^{8} b^{2} x^{14} e^{11} + \frac{110}{13} \, B a^{9} b d x^{13} e^{10} + \frac{495}{13} \, A a^{8} b^{2} d x^{13} e^{10} + \frac{275}{6} \, B a^{9} b d^{2} x^{12} e^{9} + \frac{825}{4} \, A a^{8} b^{2} d^{2} x^{12} e^{9} + 150 \, B a^{9} b d^{3} x^{11} e^{8} + 675 \, A a^{8} b^{2} d^{3} x^{11} e^{8} + 330 \, B a^{9} b d^{4} x^{10} e^{7} + 1485 \, A a^{8} b^{2} d^{4} x^{10} e^{7} + \frac{1540}{3} \, B a^{9} b d^{5} x^{9} e^{6} + 2310 \, A a^{8} b^{2} d^{5} x^{9} e^{6} + \frac{1155}{2} \, B a^{9} b d^{6} x^{8} e^{5} + \frac{10395}{4} \, A a^{8} b^{2} d^{6} x^{8} e^{5} + \frac{3300}{7} \, B a^{9} b d^{7} x^{7} e^{4} + \frac{14850}{7} \, A a^{8} b^{2} d^{7} x^{7} e^{4} + 275 \, B a^{9} b d^{8} x^{6} e^{3} + \frac{2475}{2} \, A a^{8} b^{2} d^{8} x^{6} e^{3} + 110 \, B a^{9} b d^{9} x^{5} e^{2} + 495 \, A a^{8} b^{2} d^{9} x^{5} e^{2} + \frac{55}{2} \, B a^{9} b d^{10} x^{4} e + \frac{495}{4} \, A a^{8} b^{2} d^{10} x^{4} e + \frac{10}{3} \, B a^{9} b d^{11} x^{3} + 15 \, A a^{8} b^{2} d^{11} x^{3} + \frac{1}{13} \, B a^{10} x^{13} e^{11} + \frac{10}{13} \, A a^{9} b x^{13} e^{11} + \frac{11}{12} \, B a^{10} d x^{12} e^{10} + \frac{55}{6} \, A a^{9} b d x^{12} e^{10} + 5 \, B a^{10} d^{2} x^{11} e^{9} + 50 \, A a^{9} b d^{2} x^{11} e^{9} + \frac{33}{2} \, B a^{10} d^{3} x^{10} e^{8} + 165 \, A a^{9} b d^{3} x^{10} e^{8} + \frac{110}{3} \, B a^{10} d^{4} x^{9} e^{7} + \frac{1100}{3} \, A a^{9} b d^{4} x^{9} e^{7} + \frac{231}{4} \, B a^{10} d^{5} x^{8} e^{6} + \frac{1155}{2} \, A a^{9} b d^{5} x^{8} e^{6} + 66 \, B a^{10} d^{6} x^{7} e^{5} + 660 \, A a^{9} b d^{6} x^{7} e^{5} + 55 \, B a^{10} d^{7} x^{6} e^{4} + 550 \, A a^{9} b d^{7} x^{6} e^{4} + 33 \, B a^{10} d^{8} x^{5} e^{3} + 330 \, A a^{9} b d^{8} x^{5} e^{3} + \frac{55}{4} \, B a^{10} d^{9} x^{4} e^{2} + \frac{275}{2} \, A a^{9} b d^{9} x^{4} e^{2} + \frac{11}{3} \, B a^{10} d^{10} x^{3} e + \frac{110}{3} \, A a^{9} b d^{10} x^{3} e + \frac{1}{2} \, B a^{10} d^{11} x^{2} + 5 \, A a^{9} b d^{11} x^{2} + \frac{1}{12} \, A a^{10} x^{12} e^{11} + A a^{10} d x^{11} e^{10} + \frac{11}{2} \, A a^{10} d^{2} x^{10} e^{9} + \frac{55}{3} \, A a^{10} d^{3} x^{9} e^{8} + \frac{165}{4} \, A a^{10} d^{4} x^{8} e^{7} + 66 \, A a^{10} d^{5} x^{7} e^{6} + 77 \, A a^{10} d^{6} x^{6} e^{5} + 66 \, A a^{10} d^{7} x^{5} e^{4} + \frac{165}{4} \, A a^{10} d^{8} x^{4} e^{3} + \frac{55}{3} \, A a^{10} d^{9} x^{3} e^{2} + \frac{11}{2} \, A a^{10} d^{10} x^{2} e + A a^{10} d^{11} x"," ",0,"1/23*B*b^10*x^23*e^11 + 1/2*B*b^10*d*x^22*e^10 + 55/21*B*b^10*d^2*x^21*e^9 + 33/4*B*b^10*d^3*x^20*e^8 + 330/19*B*b^10*d^4*x^19*e^7 + 77/3*B*b^10*d^5*x^18*e^6 + 462/17*B*b^10*d^6*x^17*e^5 + 165/8*B*b^10*d^7*x^16*e^4 + 11*B*b^10*d^8*x^15*e^3 + 55/14*B*b^10*d^9*x^14*e^2 + 11/13*B*b^10*d^10*x^13*e + 1/12*B*b^10*d^11*x^12 + 5/11*B*a*b^9*x^22*e^11 + 1/22*A*b^10*x^22*e^11 + 110/21*B*a*b^9*d*x^21*e^10 + 11/21*A*b^10*d*x^21*e^10 + 55/2*B*a*b^9*d^2*x^20*e^9 + 11/4*A*b^10*d^2*x^20*e^9 + 1650/19*B*a*b^9*d^3*x^19*e^8 + 165/19*A*b^10*d^3*x^19*e^8 + 550/3*B*a*b^9*d^4*x^18*e^7 + 55/3*A*b^10*d^4*x^18*e^7 + 4620/17*B*a*b^9*d^5*x^17*e^6 + 462/17*A*b^10*d^5*x^17*e^6 + 1155/4*B*a*b^9*d^6*x^16*e^5 + 231/8*A*b^10*d^6*x^16*e^5 + 220*B*a*b^9*d^7*x^15*e^4 + 22*A*b^10*d^7*x^15*e^4 + 825/7*B*a*b^9*d^8*x^14*e^3 + 165/14*A*b^10*d^8*x^14*e^3 + 550/13*B*a*b^9*d^9*x^13*e^2 + 55/13*A*b^10*d^9*x^13*e^2 + 55/6*B*a*b^9*d^10*x^12*e + 11/12*A*b^10*d^10*x^12*e + 10/11*B*a*b^9*d^11*x^11 + 1/11*A*b^10*d^11*x^11 + 15/7*B*a^2*b^8*x^21*e^11 + 10/21*A*a*b^9*x^21*e^11 + 99/4*B*a^2*b^8*d*x^20*e^10 + 11/2*A*a*b^9*d*x^20*e^10 + 2475/19*B*a^2*b^8*d^2*x^19*e^9 + 550/19*A*a*b^9*d^2*x^19*e^9 + 825/2*B*a^2*b^8*d^3*x^18*e^8 + 275/3*A*a*b^9*d^3*x^18*e^8 + 14850/17*B*a^2*b^8*d^4*x^17*e^7 + 3300/17*A*a*b^9*d^4*x^17*e^7 + 10395/8*B*a^2*b^8*d^5*x^16*e^6 + 1155/4*A*a*b^9*d^5*x^16*e^6 + 1386*B*a^2*b^8*d^6*x^15*e^5 + 308*A*a*b^9*d^6*x^15*e^5 + 7425/7*B*a^2*b^8*d^7*x^14*e^4 + 1650/7*A*a*b^9*d^7*x^14*e^4 + 7425/13*B*a^2*b^8*d^8*x^13*e^3 + 1650/13*A*a*b^9*d^8*x^13*e^3 + 825/4*B*a^2*b^8*d^9*x^12*e^2 + 275/6*A*a*b^9*d^9*x^12*e^2 + 45*B*a^2*b^8*d^10*x^11*e + 10*A*a*b^9*d^10*x^11*e + 9/2*B*a^2*b^8*d^11*x^10 + A*a*b^9*d^11*x^10 + 6*B*a^3*b^7*x^20*e^11 + 9/4*A*a^2*b^8*x^20*e^11 + 1320/19*B*a^3*b^7*d*x^19*e^10 + 495/19*A*a^2*b^8*d*x^19*e^10 + 1100/3*B*a^3*b^7*d^2*x^18*e^9 + 275/2*A*a^2*b^8*d^2*x^18*e^9 + 19800/17*B*a^3*b^7*d^3*x^17*e^8 + 7425/17*A*a^2*b^8*d^3*x^17*e^8 + 2475*B*a^3*b^7*d^4*x^16*e^7 + 7425/8*A*a^2*b^8*d^4*x^16*e^7 + 3696*B*a^3*b^7*d^5*x^15*e^6 + 1386*A*a^2*b^8*d^5*x^15*e^6 + 3960*B*a^3*b^7*d^6*x^14*e^5 + 1485*A*a^2*b^8*d^6*x^14*e^5 + 39600/13*B*a^3*b^7*d^7*x^13*e^4 + 14850/13*A*a^2*b^8*d^7*x^13*e^4 + 1650*B*a^3*b^7*d^8*x^12*e^3 + 2475/4*A*a^2*b^8*d^8*x^12*e^3 + 600*B*a^3*b^7*d^9*x^11*e^2 + 225*A*a^2*b^8*d^9*x^11*e^2 + 132*B*a^3*b^7*d^10*x^10*e + 99/2*A*a^2*b^8*d^10*x^10*e + 40/3*B*a^3*b^7*d^11*x^9 + 5*A*a^2*b^8*d^11*x^9 + 210/19*B*a^4*b^6*x^19*e^11 + 120/19*A*a^3*b^7*x^19*e^11 + 385/3*B*a^4*b^6*d*x^18*e^10 + 220/3*A*a^3*b^7*d*x^18*e^10 + 11550/17*B*a^4*b^6*d^2*x^17*e^9 + 6600/17*A*a^3*b^7*d^2*x^17*e^9 + 17325/8*B*a^4*b^6*d^3*x^16*e^8 + 2475/2*A*a^3*b^7*d^3*x^16*e^8 + 4620*B*a^4*b^6*d^4*x^15*e^7 + 2640*A*a^3*b^7*d^4*x^15*e^7 + 6930*B*a^4*b^6*d^5*x^14*e^6 + 3960*A*a^3*b^7*d^5*x^14*e^6 + 97020/13*B*a^4*b^6*d^6*x^13*e^5 + 55440/13*A*a^3*b^7*d^6*x^13*e^5 + 5775*B*a^4*b^6*d^7*x^12*e^4 + 3300*A*a^3*b^7*d^7*x^12*e^4 + 3150*B*a^4*b^6*d^8*x^11*e^3 + 1800*A*a^3*b^7*d^8*x^11*e^3 + 1155*B*a^4*b^6*d^9*x^10*e^2 + 660*A*a^3*b^7*d^9*x^10*e^2 + 770/3*B*a^4*b^6*d^10*x^9*e + 440/3*A*a^3*b^7*d^10*x^9*e + 105/4*B*a^4*b^6*d^11*x^8 + 15*A*a^3*b^7*d^11*x^8 + 14*B*a^5*b^5*x^18*e^11 + 35/3*A*a^4*b^6*x^18*e^11 + 2772/17*B*a^5*b^5*d*x^17*e^10 + 2310/17*A*a^4*b^6*d*x^17*e^10 + 3465/4*B*a^5*b^5*d^2*x^16*e^9 + 5775/8*A*a^4*b^6*d^2*x^16*e^9 + 2772*B*a^5*b^5*d^3*x^15*e^8 + 2310*A*a^4*b^6*d^3*x^15*e^8 + 5940*B*a^5*b^5*d^4*x^14*e^7 + 4950*A*a^4*b^6*d^4*x^14*e^7 + 116424/13*B*a^5*b^5*d^5*x^13*e^6 + 97020/13*A*a^4*b^6*d^5*x^13*e^6 + 9702*B*a^5*b^5*d^6*x^12*e^5 + 8085*A*a^4*b^6*d^6*x^12*e^5 + 7560*B*a^5*b^5*d^7*x^11*e^4 + 6300*A*a^4*b^6*d^7*x^11*e^4 + 4158*B*a^5*b^5*d^8*x^10*e^3 + 3465*A*a^4*b^6*d^8*x^10*e^3 + 1540*B*a^5*b^5*d^9*x^9*e^2 + 3850/3*A*a^4*b^6*d^9*x^9*e^2 + 693/2*B*a^5*b^5*d^10*x^8*e + 1155/4*A*a^4*b^6*d^10*x^8*e + 36*B*a^5*b^5*d^11*x^7 + 30*A*a^4*b^6*d^11*x^7 + 210/17*B*a^6*b^4*x^17*e^11 + 252/17*A*a^5*b^5*x^17*e^11 + 1155/8*B*a^6*b^4*d*x^16*e^10 + 693/4*A*a^5*b^5*d*x^16*e^10 + 770*B*a^6*b^4*d^2*x^15*e^9 + 924*A*a^5*b^5*d^2*x^15*e^9 + 2475*B*a^6*b^4*d^3*x^14*e^8 + 2970*A*a^5*b^5*d^3*x^14*e^8 + 69300/13*B*a^6*b^4*d^4*x^13*e^7 + 83160/13*A*a^5*b^5*d^4*x^13*e^7 + 8085*B*a^6*b^4*d^5*x^12*e^6 + 9702*A*a^5*b^5*d^5*x^12*e^6 + 8820*B*a^6*b^4*d^6*x^11*e^5 + 10584*A*a^5*b^5*d^6*x^11*e^5 + 6930*B*a^6*b^4*d^7*x^10*e^4 + 8316*A*a^5*b^5*d^7*x^10*e^4 + 3850*B*a^6*b^4*d^8*x^9*e^3 + 4620*A*a^5*b^5*d^8*x^9*e^3 + 5775/4*B*a^6*b^4*d^9*x^8*e^2 + 3465/2*A*a^5*b^5*d^9*x^8*e^2 + 330*B*a^6*b^4*d^10*x^7*e + 396*A*a^5*b^5*d^10*x^7*e + 35*B*a^6*b^4*d^11*x^6 + 42*A*a^5*b^5*d^11*x^6 + 15/2*B*a^7*b^3*x^16*e^11 + 105/8*A*a^6*b^4*x^16*e^11 + 88*B*a^7*b^3*d*x^15*e^10 + 154*A*a^6*b^4*d*x^15*e^10 + 3300/7*B*a^7*b^3*d^2*x^14*e^9 + 825*A*a^6*b^4*d^2*x^14*e^9 + 19800/13*B*a^7*b^3*d^3*x^13*e^8 + 34650/13*A*a^6*b^4*d^3*x^13*e^8 + 3300*B*a^7*b^3*d^4*x^12*e^7 + 5775*A*a^6*b^4*d^4*x^12*e^7 + 5040*B*a^7*b^3*d^5*x^11*e^6 + 8820*A*a^6*b^4*d^5*x^11*e^6 + 5544*B*a^7*b^3*d^6*x^10*e^5 + 9702*A*a^6*b^4*d^6*x^10*e^5 + 4400*B*a^7*b^3*d^7*x^9*e^4 + 7700*A*a^6*b^4*d^7*x^9*e^4 + 2475*B*a^7*b^3*d^8*x^8*e^3 + 17325/4*A*a^6*b^4*d^8*x^8*e^3 + 6600/7*B*a^7*b^3*d^9*x^7*e^2 + 1650*A*a^6*b^4*d^9*x^7*e^2 + 220*B*a^7*b^3*d^10*x^6*e + 385*A*a^6*b^4*d^10*x^6*e + 24*B*a^7*b^3*d^11*x^5 + 42*A*a^6*b^4*d^11*x^5 + 3*B*a^8*b^2*x^15*e^11 + 8*A*a^7*b^3*x^15*e^11 + 495/14*B*a^8*b^2*d*x^14*e^10 + 660/7*A*a^7*b^3*d*x^14*e^10 + 2475/13*B*a^8*b^2*d^2*x^13*e^9 + 6600/13*A*a^7*b^3*d^2*x^13*e^9 + 2475/4*B*a^8*b^2*d^3*x^12*e^8 + 1650*A*a^7*b^3*d^3*x^12*e^8 + 1350*B*a^8*b^2*d^4*x^11*e^7 + 3600*A*a^7*b^3*d^4*x^11*e^7 + 2079*B*a^8*b^2*d^5*x^10*e^6 + 5544*A*a^7*b^3*d^5*x^10*e^6 + 2310*B*a^8*b^2*d^6*x^9*e^5 + 6160*A*a^7*b^3*d^6*x^9*e^5 + 7425/4*B*a^8*b^2*d^7*x^8*e^4 + 4950*A*a^7*b^3*d^7*x^8*e^4 + 7425/7*B*a^8*b^2*d^8*x^7*e^3 + 19800/7*A*a^7*b^3*d^8*x^7*e^3 + 825/2*B*a^8*b^2*d^9*x^6*e^2 + 1100*A*a^7*b^3*d^9*x^6*e^2 + 99*B*a^8*b^2*d^10*x^5*e + 264*A*a^7*b^3*d^10*x^5*e + 45/4*B*a^8*b^2*d^11*x^4 + 30*A*a^7*b^3*d^11*x^4 + 5/7*B*a^9*b*x^14*e^11 + 45/14*A*a^8*b^2*x^14*e^11 + 110/13*B*a^9*b*d*x^13*e^10 + 495/13*A*a^8*b^2*d*x^13*e^10 + 275/6*B*a^9*b*d^2*x^12*e^9 + 825/4*A*a^8*b^2*d^2*x^12*e^9 + 150*B*a^9*b*d^3*x^11*e^8 + 675*A*a^8*b^2*d^3*x^11*e^8 + 330*B*a^9*b*d^4*x^10*e^7 + 1485*A*a^8*b^2*d^4*x^10*e^7 + 1540/3*B*a^9*b*d^5*x^9*e^6 + 2310*A*a^8*b^2*d^5*x^9*e^6 + 1155/2*B*a^9*b*d^6*x^8*e^5 + 10395/4*A*a^8*b^2*d^6*x^8*e^5 + 3300/7*B*a^9*b*d^7*x^7*e^4 + 14850/7*A*a^8*b^2*d^7*x^7*e^4 + 275*B*a^9*b*d^8*x^6*e^3 + 2475/2*A*a^8*b^2*d^8*x^6*e^3 + 110*B*a^9*b*d^9*x^5*e^2 + 495*A*a^8*b^2*d^9*x^5*e^2 + 55/2*B*a^9*b*d^10*x^4*e + 495/4*A*a^8*b^2*d^10*x^4*e + 10/3*B*a^9*b*d^11*x^3 + 15*A*a^8*b^2*d^11*x^3 + 1/13*B*a^10*x^13*e^11 + 10/13*A*a^9*b*x^13*e^11 + 11/12*B*a^10*d*x^12*e^10 + 55/6*A*a^9*b*d*x^12*e^10 + 5*B*a^10*d^2*x^11*e^9 + 50*A*a^9*b*d^2*x^11*e^9 + 33/2*B*a^10*d^3*x^10*e^8 + 165*A*a^9*b*d^3*x^10*e^8 + 110/3*B*a^10*d^4*x^9*e^7 + 1100/3*A*a^9*b*d^4*x^9*e^7 + 231/4*B*a^10*d^5*x^8*e^6 + 1155/2*A*a^9*b*d^5*x^8*e^6 + 66*B*a^10*d^6*x^7*e^5 + 660*A*a^9*b*d^6*x^7*e^5 + 55*B*a^10*d^7*x^6*e^4 + 550*A*a^9*b*d^7*x^6*e^4 + 33*B*a^10*d^8*x^5*e^3 + 330*A*a^9*b*d^8*x^5*e^3 + 55/4*B*a^10*d^9*x^4*e^2 + 275/2*A*a^9*b*d^9*x^4*e^2 + 11/3*B*a^10*d^10*x^3*e + 110/3*A*a^9*b*d^10*x^3*e + 1/2*B*a^10*d^11*x^2 + 5*A*a^9*b*d^11*x^2 + 1/12*A*a^10*x^12*e^11 + A*a^10*d*x^11*e^10 + 11/2*A*a^10*d^2*x^10*e^9 + 55/3*A*a^10*d^3*x^9*e^8 + 165/4*A*a^10*d^4*x^8*e^7 + 66*A*a^10*d^5*x^7*e^6 + 77*A*a^10*d^6*x^6*e^5 + 66*A*a^10*d^7*x^5*e^4 + 165/4*A*a^10*d^8*x^4*e^3 + 55/3*A*a^10*d^9*x^3*e^2 + 11/2*A*a^10*d^10*x^2*e + A*a^10*d^11*x","B",0
1078,1,3736,0,1.345498," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d)^10,x, algorithm=""giac"")","\frac{1}{22} \, B b^{10} x^{22} e^{10} + \frac{10}{21} \, B b^{10} d x^{21} e^{9} + \frac{9}{4} \, B b^{10} d^{2} x^{20} e^{8} + \frac{120}{19} \, B b^{10} d^{3} x^{19} e^{7} + \frac{35}{3} \, B b^{10} d^{4} x^{18} e^{6} + \frac{252}{17} \, B b^{10} d^{5} x^{17} e^{5} + \frac{105}{8} \, B b^{10} d^{6} x^{16} e^{4} + 8 \, B b^{10} d^{7} x^{15} e^{3} + \frac{45}{14} \, B b^{10} d^{8} x^{14} e^{2} + \frac{10}{13} \, B b^{10} d^{9} x^{13} e + \frac{1}{12} \, B b^{10} d^{10} x^{12} + \frac{10}{21} \, B a b^{9} x^{21} e^{10} + \frac{1}{21} \, A b^{10} x^{21} e^{10} + 5 \, B a b^{9} d x^{20} e^{9} + \frac{1}{2} \, A b^{10} d x^{20} e^{9} + \frac{450}{19} \, B a b^{9} d^{2} x^{19} e^{8} + \frac{45}{19} \, A b^{10} d^{2} x^{19} e^{8} + \frac{200}{3} \, B a b^{9} d^{3} x^{18} e^{7} + \frac{20}{3} \, A b^{10} d^{3} x^{18} e^{7} + \frac{2100}{17} \, B a b^{9} d^{4} x^{17} e^{6} + \frac{210}{17} \, A b^{10} d^{4} x^{17} e^{6} + \frac{315}{2} \, B a b^{9} d^{5} x^{16} e^{5} + \frac{63}{4} \, A b^{10} d^{5} x^{16} e^{5} + 140 \, B a b^{9} d^{6} x^{15} e^{4} + 14 \, A b^{10} d^{6} x^{15} e^{4} + \frac{600}{7} \, B a b^{9} d^{7} x^{14} e^{3} + \frac{60}{7} \, A b^{10} d^{7} x^{14} e^{3} + \frac{450}{13} \, B a b^{9} d^{8} x^{13} e^{2} + \frac{45}{13} \, A b^{10} d^{8} x^{13} e^{2} + \frac{25}{3} \, B a b^{9} d^{9} x^{12} e + \frac{5}{6} \, A b^{10} d^{9} x^{12} e + \frac{10}{11} \, B a b^{9} d^{10} x^{11} + \frac{1}{11} \, A b^{10} d^{10} x^{11} + \frac{9}{4} \, B a^{2} b^{8} x^{20} e^{10} + \frac{1}{2} \, A a b^{9} x^{20} e^{10} + \frac{450}{19} \, B a^{2} b^{8} d x^{19} e^{9} + \frac{100}{19} \, A a b^{9} d x^{19} e^{9} + \frac{225}{2} \, B a^{2} b^{8} d^{2} x^{18} e^{8} + 25 \, A a b^{9} d^{2} x^{18} e^{8} + \frac{5400}{17} \, B a^{2} b^{8} d^{3} x^{17} e^{7} + \frac{1200}{17} \, A a b^{9} d^{3} x^{17} e^{7} + \frac{4725}{8} \, B a^{2} b^{8} d^{4} x^{16} e^{6} + \frac{525}{4} \, A a b^{9} d^{4} x^{16} e^{6} + 756 \, B a^{2} b^{8} d^{5} x^{15} e^{5} + 168 \, A a b^{9} d^{5} x^{15} e^{5} + 675 \, B a^{2} b^{8} d^{6} x^{14} e^{4} + 150 \, A a b^{9} d^{6} x^{14} e^{4} + \frac{5400}{13} \, B a^{2} b^{8} d^{7} x^{13} e^{3} + \frac{1200}{13} \, A a b^{9} d^{7} x^{13} e^{3} + \frac{675}{4} \, B a^{2} b^{8} d^{8} x^{12} e^{2} + \frac{75}{2} \, A a b^{9} d^{8} x^{12} e^{2} + \frac{450}{11} \, B a^{2} b^{8} d^{9} x^{11} e + \frac{100}{11} \, A a b^{9} d^{9} x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d^{10} x^{10} + A a b^{9} d^{10} x^{10} + \frac{120}{19} \, B a^{3} b^{7} x^{19} e^{10} + \frac{45}{19} \, A a^{2} b^{8} x^{19} e^{10} + \frac{200}{3} \, B a^{3} b^{7} d x^{18} e^{9} + 25 \, A a^{2} b^{8} d x^{18} e^{9} + \frac{5400}{17} \, B a^{3} b^{7} d^{2} x^{17} e^{8} + \frac{2025}{17} \, A a^{2} b^{8} d^{2} x^{17} e^{8} + 900 \, B a^{3} b^{7} d^{3} x^{16} e^{7} + \frac{675}{2} \, A a^{2} b^{8} d^{3} x^{16} e^{7} + 1680 \, B a^{3} b^{7} d^{4} x^{15} e^{6} + 630 \, A a^{2} b^{8} d^{4} x^{15} e^{6} + 2160 \, B a^{3} b^{7} d^{5} x^{14} e^{5} + 810 \, A a^{2} b^{8} d^{5} x^{14} e^{5} + \frac{25200}{13} \, B a^{3} b^{7} d^{6} x^{13} e^{4} + \frac{9450}{13} \, A a^{2} b^{8} d^{6} x^{13} e^{4} + 1200 \, B a^{3} b^{7} d^{7} x^{12} e^{3} + 450 \, A a^{2} b^{8} d^{7} x^{12} e^{3} + \frac{5400}{11} \, B a^{3} b^{7} d^{8} x^{11} e^{2} + \frac{2025}{11} \, A a^{2} b^{8} d^{8} x^{11} e^{2} + 120 \, B a^{3} b^{7} d^{9} x^{10} e + 45 \, A a^{2} b^{8} d^{9} x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d^{10} x^{9} + 5 \, A a^{2} b^{8} d^{10} x^{9} + \frac{35}{3} \, B a^{4} b^{6} x^{18} e^{10} + \frac{20}{3} \, A a^{3} b^{7} x^{18} e^{10} + \frac{2100}{17} \, B a^{4} b^{6} d x^{17} e^{9} + \frac{1200}{17} \, A a^{3} b^{7} d x^{17} e^{9} + \frac{4725}{8} \, B a^{4} b^{6} d^{2} x^{16} e^{8} + \frac{675}{2} \, A a^{3} b^{7} d^{2} x^{16} e^{8} + 1680 \, B a^{4} b^{6} d^{3} x^{15} e^{7} + 960 \, A a^{3} b^{7} d^{3} x^{15} e^{7} + 3150 \, B a^{4} b^{6} d^{4} x^{14} e^{6} + 1800 \, A a^{3} b^{7} d^{4} x^{14} e^{6} + \frac{52920}{13} \, B a^{4} b^{6} d^{5} x^{13} e^{5} + \frac{30240}{13} \, A a^{3} b^{7} d^{5} x^{13} e^{5} + 3675 \, B a^{4} b^{6} d^{6} x^{12} e^{4} + 2100 \, A a^{3} b^{7} d^{6} x^{12} e^{4} + \frac{25200}{11} \, B a^{4} b^{6} d^{7} x^{11} e^{3} + \frac{14400}{11} \, A a^{3} b^{7} d^{7} x^{11} e^{3} + 945 \, B a^{4} b^{6} d^{8} x^{10} e^{2} + 540 \, A a^{3} b^{7} d^{8} x^{10} e^{2} + \frac{700}{3} \, B a^{4} b^{6} d^{9} x^{9} e + \frac{400}{3} \, A a^{3} b^{7} d^{9} x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d^{10} x^{8} + 15 \, A a^{3} b^{7} d^{10} x^{8} + \frac{252}{17} \, B a^{5} b^{5} x^{17} e^{10} + \frac{210}{17} \, A a^{4} b^{6} x^{17} e^{10} + \frac{315}{2} \, B a^{5} b^{5} d x^{16} e^{9} + \frac{525}{4} \, A a^{4} b^{6} d x^{16} e^{9} + 756 \, B a^{5} b^{5} d^{2} x^{15} e^{8} + 630 \, A a^{4} b^{6} d^{2} x^{15} e^{8} + 2160 \, B a^{5} b^{5} d^{3} x^{14} e^{7} + 1800 \, A a^{4} b^{6} d^{3} x^{14} e^{7} + \frac{52920}{13} \, B a^{5} b^{5} d^{4} x^{13} e^{6} + \frac{44100}{13} \, A a^{4} b^{6} d^{4} x^{13} e^{6} + 5292 \, B a^{5} b^{5} d^{5} x^{12} e^{5} + 4410 \, A a^{4} b^{6} d^{5} x^{12} e^{5} + \frac{52920}{11} \, B a^{5} b^{5} d^{6} x^{11} e^{4} + \frac{44100}{11} \, A a^{4} b^{6} d^{6} x^{11} e^{4} + 3024 \, B a^{5} b^{5} d^{7} x^{10} e^{3} + 2520 \, A a^{4} b^{6} d^{7} x^{10} e^{3} + 1260 \, B a^{5} b^{5} d^{8} x^{9} e^{2} + 1050 \, A a^{4} b^{6} d^{8} x^{9} e^{2} + 315 \, B a^{5} b^{5} d^{9} x^{8} e + \frac{525}{2} \, A a^{4} b^{6} d^{9} x^{8} e + 36 \, B a^{5} b^{5} d^{10} x^{7} + 30 \, A a^{4} b^{6} d^{10} x^{7} + \frac{105}{8} \, B a^{6} b^{4} x^{16} e^{10} + \frac{63}{4} \, A a^{5} b^{5} x^{16} e^{10} + 140 \, B a^{6} b^{4} d x^{15} e^{9} + 168 \, A a^{5} b^{5} d x^{15} e^{9} + 675 \, B a^{6} b^{4} d^{2} x^{14} e^{8} + 810 \, A a^{5} b^{5} d^{2} x^{14} e^{8} + \frac{25200}{13} \, B a^{6} b^{4} d^{3} x^{13} e^{7} + \frac{30240}{13} \, A a^{5} b^{5} d^{3} x^{13} e^{7} + 3675 \, B a^{6} b^{4} d^{4} x^{12} e^{6} + 4410 \, A a^{5} b^{5} d^{4} x^{12} e^{6} + \frac{52920}{11} \, B a^{6} b^{4} d^{5} x^{11} e^{5} + \frac{63504}{11} \, A a^{5} b^{5} d^{5} x^{11} e^{5} + 4410 \, B a^{6} b^{4} d^{6} x^{10} e^{4} + 5292 \, A a^{5} b^{5} d^{6} x^{10} e^{4} + 2800 \, B a^{6} b^{4} d^{7} x^{9} e^{3} + 3360 \, A a^{5} b^{5} d^{7} x^{9} e^{3} + \frac{4725}{4} \, B a^{6} b^{4} d^{8} x^{8} e^{2} + \frac{2835}{2} \, A a^{5} b^{5} d^{8} x^{8} e^{2} + 300 \, B a^{6} b^{4} d^{9} x^{7} e + 360 \, A a^{5} b^{5} d^{9} x^{7} e + 35 \, B a^{6} b^{4} d^{10} x^{6} + 42 \, A a^{5} b^{5} d^{10} x^{6} + 8 \, B a^{7} b^{3} x^{15} e^{10} + 14 \, A a^{6} b^{4} x^{15} e^{10} + \frac{600}{7} \, B a^{7} b^{3} d x^{14} e^{9} + 150 \, A a^{6} b^{4} d x^{14} e^{9} + \frac{5400}{13} \, B a^{7} b^{3} d^{2} x^{13} e^{8} + \frac{9450}{13} \, A a^{6} b^{4} d^{2} x^{13} e^{8} + 1200 \, B a^{7} b^{3} d^{3} x^{12} e^{7} + 2100 \, A a^{6} b^{4} d^{3} x^{12} e^{7} + \frac{25200}{11} \, B a^{7} b^{3} d^{4} x^{11} e^{6} + \frac{44100}{11} \, A a^{6} b^{4} d^{4} x^{11} e^{6} + 3024 \, B a^{7} b^{3} d^{5} x^{10} e^{5} + 5292 \, A a^{6} b^{4} d^{5} x^{10} e^{5} + 2800 \, B a^{7} b^{3} d^{6} x^{9} e^{4} + 4900 \, A a^{6} b^{4} d^{6} x^{9} e^{4} + 1800 \, B a^{7} b^{3} d^{7} x^{8} e^{3} + 3150 \, A a^{6} b^{4} d^{7} x^{8} e^{3} + \frac{5400}{7} \, B a^{7} b^{3} d^{8} x^{7} e^{2} + 1350 \, A a^{6} b^{4} d^{8} x^{7} e^{2} + 200 \, B a^{7} b^{3} d^{9} x^{6} e + 350 \, A a^{6} b^{4} d^{9} x^{6} e + 24 \, B a^{7} b^{3} d^{10} x^{5} + 42 \, A a^{6} b^{4} d^{10} x^{5} + \frac{45}{14} \, B a^{8} b^{2} x^{14} e^{10} + \frac{60}{7} \, A a^{7} b^{3} x^{14} e^{10} + \frac{450}{13} \, B a^{8} b^{2} d x^{13} e^{9} + \frac{1200}{13} \, A a^{7} b^{3} d x^{13} e^{9} + \frac{675}{4} \, B a^{8} b^{2} d^{2} x^{12} e^{8} + 450 \, A a^{7} b^{3} d^{2} x^{12} e^{8} + \frac{5400}{11} \, B a^{8} b^{2} d^{3} x^{11} e^{7} + \frac{14400}{11} \, A a^{7} b^{3} d^{3} x^{11} e^{7} + 945 \, B a^{8} b^{2} d^{4} x^{10} e^{6} + 2520 \, A a^{7} b^{3} d^{4} x^{10} e^{6} + 1260 \, B a^{8} b^{2} d^{5} x^{9} e^{5} + 3360 \, A a^{7} b^{3} d^{5} x^{9} e^{5} + \frac{4725}{4} \, B a^{8} b^{2} d^{6} x^{8} e^{4} + 3150 \, A a^{7} b^{3} d^{6} x^{8} e^{4} + \frac{5400}{7} \, B a^{8} b^{2} d^{7} x^{7} e^{3} + \frac{14400}{7} \, A a^{7} b^{3} d^{7} x^{7} e^{3} + \frac{675}{2} \, B a^{8} b^{2} d^{8} x^{6} e^{2} + 900 \, A a^{7} b^{3} d^{8} x^{6} e^{2} + 90 \, B a^{8} b^{2} d^{9} x^{5} e + 240 \, A a^{7} b^{3} d^{9} x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d^{10} x^{4} + 30 \, A a^{7} b^{3} d^{10} x^{4} + \frac{10}{13} \, B a^{9} b x^{13} e^{10} + \frac{45}{13} \, A a^{8} b^{2} x^{13} e^{10} + \frac{25}{3} \, B a^{9} b d x^{12} e^{9} + \frac{75}{2} \, A a^{8} b^{2} d x^{12} e^{9} + \frac{450}{11} \, B a^{9} b d^{2} x^{11} e^{8} + \frac{2025}{11} \, A a^{8} b^{2} d^{2} x^{11} e^{8} + 120 \, B a^{9} b d^{3} x^{10} e^{7} + 540 \, A a^{8} b^{2} d^{3} x^{10} e^{7} + \frac{700}{3} \, B a^{9} b d^{4} x^{9} e^{6} + 1050 \, A a^{8} b^{2} d^{4} x^{9} e^{6} + 315 \, B a^{9} b d^{5} x^{8} e^{5} + \frac{2835}{2} \, A a^{8} b^{2} d^{5} x^{8} e^{5} + 300 \, B a^{9} b d^{6} x^{7} e^{4} + 1350 \, A a^{8} b^{2} d^{6} x^{7} e^{4} + 200 \, B a^{9} b d^{7} x^{6} e^{3} + 900 \, A a^{8} b^{2} d^{7} x^{6} e^{3} + 90 \, B a^{9} b d^{8} x^{5} e^{2} + 405 \, A a^{8} b^{2} d^{8} x^{5} e^{2} + 25 \, B a^{9} b d^{9} x^{4} e + \frac{225}{2} \, A a^{8} b^{2} d^{9} x^{4} e + \frac{10}{3} \, B a^{9} b d^{10} x^{3} + 15 \, A a^{8} b^{2} d^{10} x^{3} + \frac{1}{12} \, B a^{10} x^{12} e^{10} + \frac{5}{6} \, A a^{9} b x^{12} e^{10} + \frac{10}{11} \, B a^{10} d x^{11} e^{9} + \frac{100}{11} \, A a^{9} b d x^{11} e^{9} + \frac{9}{2} \, B a^{10} d^{2} x^{10} e^{8} + 45 \, A a^{9} b d^{2} x^{10} e^{8} + \frac{40}{3} \, B a^{10} d^{3} x^{9} e^{7} + \frac{400}{3} \, A a^{9} b d^{3} x^{9} e^{7} + \frac{105}{4} \, B a^{10} d^{4} x^{8} e^{6} + \frac{525}{2} \, A a^{9} b d^{4} x^{8} e^{6} + 36 \, B a^{10} d^{5} x^{7} e^{5} + 360 \, A a^{9} b d^{5} x^{7} e^{5} + 35 \, B a^{10} d^{6} x^{6} e^{4} + 350 \, A a^{9} b d^{6} x^{6} e^{4} + 24 \, B a^{10} d^{7} x^{5} e^{3} + 240 \, A a^{9} b d^{7} x^{5} e^{3} + \frac{45}{4} \, B a^{10} d^{8} x^{4} e^{2} + \frac{225}{2} \, A a^{9} b d^{8} x^{4} e^{2} + \frac{10}{3} \, B a^{10} d^{9} x^{3} e + \frac{100}{3} \, A a^{9} b d^{9} x^{3} e + \frac{1}{2} \, B a^{10} d^{10} x^{2} + 5 \, A a^{9} b d^{10} x^{2} + \frac{1}{11} \, A a^{10} x^{11} e^{10} + A a^{10} d x^{10} e^{9} + 5 \, A a^{10} d^{2} x^{9} e^{8} + 15 \, A a^{10} d^{3} x^{8} e^{7} + 30 \, A a^{10} d^{4} x^{7} e^{6} + 42 \, A a^{10} d^{5} x^{6} e^{5} + 42 \, A a^{10} d^{6} x^{5} e^{4} + 30 \, A a^{10} d^{7} x^{4} e^{3} + 15 \, A a^{10} d^{8} x^{3} e^{2} + 5 \, A a^{10} d^{9} x^{2} e + A a^{10} d^{10} x"," ",0,"1/22*B*b^10*x^22*e^10 + 10/21*B*b^10*d*x^21*e^9 + 9/4*B*b^10*d^2*x^20*e^8 + 120/19*B*b^10*d^3*x^19*e^7 + 35/3*B*b^10*d^4*x^18*e^6 + 252/17*B*b^10*d^5*x^17*e^5 + 105/8*B*b^10*d^6*x^16*e^4 + 8*B*b^10*d^7*x^15*e^3 + 45/14*B*b^10*d^8*x^14*e^2 + 10/13*B*b^10*d^9*x^13*e + 1/12*B*b^10*d^10*x^12 + 10/21*B*a*b^9*x^21*e^10 + 1/21*A*b^10*x^21*e^10 + 5*B*a*b^9*d*x^20*e^9 + 1/2*A*b^10*d*x^20*e^9 + 450/19*B*a*b^9*d^2*x^19*e^8 + 45/19*A*b^10*d^2*x^19*e^8 + 200/3*B*a*b^9*d^3*x^18*e^7 + 20/3*A*b^10*d^3*x^18*e^7 + 2100/17*B*a*b^9*d^4*x^17*e^6 + 210/17*A*b^10*d^4*x^17*e^6 + 315/2*B*a*b^9*d^5*x^16*e^5 + 63/4*A*b^10*d^5*x^16*e^5 + 140*B*a*b^9*d^6*x^15*e^4 + 14*A*b^10*d^6*x^15*e^4 + 600/7*B*a*b^9*d^7*x^14*e^3 + 60/7*A*b^10*d^7*x^14*e^3 + 450/13*B*a*b^9*d^8*x^13*e^2 + 45/13*A*b^10*d^8*x^13*e^2 + 25/3*B*a*b^9*d^9*x^12*e + 5/6*A*b^10*d^9*x^12*e + 10/11*B*a*b^9*d^10*x^11 + 1/11*A*b^10*d^10*x^11 + 9/4*B*a^2*b^8*x^20*e^10 + 1/2*A*a*b^9*x^20*e^10 + 450/19*B*a^2*b^8*d*x^19*e^9 + 100/19*A*a*b^9*d*x^19*e^9 + 225/2*B*a^2*b^8*d^2*x^18*e^8 + 25*A*a*b^9*d^2*x^18*e^8 + 5400/17*B*a^2*b^8*d^3*x^17*e^7 + 1200/17*A*a*b^9*d^3*x^17*e^7 + 4725/8*B*a^2*b^8*d^4*x^16*e^6 + 525/4*A*a*b^9*d^4*x^16*e^6 + 756*B*a^2*b^8*d^5*x^15*e^5 + 168*A*a*b^9*d^5*x^15*e^5 + 675*B*a^2*b^8*d^6*x^14*e^4 + 150*A*a*b^9*d^6*x^14*e^4 + 5400/13*B*a^2*b^8*d^7*x^13*e^3 + 1200/13*A*a*b^9*d^7*x^13*e^3 + 675/4*B*a^2*b^8*d^8*x^12*e^2 + 75/2*A*a*b^9*d^8*x^12*e^2 + 450/11*B*a^2*b^8*d^9*x^11*e + 100/11*A*a*b^9*d^9*x^11*e + 9/2*B*a^2*b^8*d^10*x^10 + A*a*b^9*d^10*x^10 + 120/19*B*a^3*b^7*x^19*e^10 + 45/19*A*a^2*b^8*x^19*e^10 + 200/3*B*a^3*b^7*d*x^18*e^9 + 25*A*a^2*b^8*d*x^18*e^9 + 5400/17*B*a^3*b^7*d^2*x^17*e^8 + 2025/17*A*a^2*b^8*d^2*x^17*e^8 + 900*B*a^3*b^7*d^3*x^16*e^7 + 675/2*A*a^2*b^8*d^3*x^16*e^7 + 1680*B*a^3*b^7*d^4*x^15*e^6 + 630*A*a^2*b^8*d^4*x^15*e^6 + 2160*B*a^3*b^7*d^5*x^14*e^5 + 810*A*a^2*b^8*d^5*x^14*e^5 + 25200/13*B*a^3*b^7*d^6*x^13*e^4 + 9450/13*A*a^2*b^8*d^6*x^13*e^4 + 1200*B*a^3*b^7*d^7*x^12*e^3 + 450*A*a^2*b^8*d^7*x^12*e^3 + 5400/11*B*a^3*b^7*d^8*x^11*e^2 + 2025/11*A*a^2*b^8*d^8*x^11*e^2 + 120*B*a^3*b^7*d^9*x^10*e + 45*A*a^2*b^8*d^9*x^10*e + 40/3*B*a^3*b^7*d^10*x^9 + 5*A*a^2*b^8*d^10*x^9 + 35/3*B*a^4*b^6*x^18*e^10 + 20/3*A*a^3*b^7*x^18*e^10 + 2100/17*B*a^4*b^6*d*x^17*e^9 + 1200/17*A*a^3*b^7*d*x^17*e^9 + 4725/8*B*a^4*b^6*d^2*x^16*e^8 + 675/2*A*a^3*b^7*d^2*x^16*e^8 + 1680*B*a^4*b^6*d^3*x^15*e^7 + 960*A*a^3*b^7*d^3*x^15*e^7 + 3150*B*a^4*b^6*d^4*x^14*e^6 + 1800*A*a^3*b^7*d^4*x^14*e^6 + 52920/13*B*a^4*b^6*d^5*x^13*e^5 + 30240/13*A*a^3*b^7*d^5*x^13*e^5 + 3675*B*a^4*b^6*d^6*x^12*e^4 + 2100*A*a^3*b^7*d^6*x^12*e^4 + 25200/11*B*a^4*b^6*d^7*x^11*e^3 + 14400/11*A*a^3*b^7*d^7*x^11*e^3 + 945*B*a^4*b^6*d^8*x^10*e^2 + 540*A*a^3*b^7*d^8*x^10*e^2 + 700/3*B*a^4*b^6*d^9*x^9*e + 400/3*A*a^3*b^7*d^9*x^9*e + 105/4*B*a^4*b^6*d^10*x^8 + 15*A*a^3*b^7*d^10*x^8 + 252/17*B*a^5*b^5*x^17*e^10 + 210/17*A*a^4*b^6*x^17*e^10 + 315/2*B*a^5*b^5*d*x^16*e^9 + 525/4*A*a^4*b^6*d*x^16*e^9 + 756*B*a^5*b^5*d^2*x^15*e^8 + 630*A*a^4*b^6*d^2*x^15*e^8 + 2160*B*a^5*b^5*d^3*x^14*e^7 + 1800*A*a^4*b^6*d^3*x^14*e^7 + 52920/13*B*a^5*b^5*d^4*x^13*e^6 + 44100/13*A*a^4*b^6*d^4*x^13*e^6 + 5292*B*a^5*b^5*d^5*x^12*e^5 + 4410*A*a^4*b^6*d^5*x^12*e^5 + 52920/11*B*a^5*b^5*d^6*x^11*e^4 + 44100/11*A*a^4*b^6*d^6*x^11*e^4 + 3024*B*a^5*b^5*d^7*x^10*e^3 + 2520*A*a^4*b^6*d^7*x^10*e^3 + 1260*B*a^5*b^5*d^8*x^9*e^2 + 1050*A*a^4*b^6*d^8*x^9*e^2 + 315*B*a^5*b^5*d^9*x^8*e + 525/2*A*a^4*b^6*d^9*x^8*e + 36*B*a^5*b^5*d^10*x^7 + 30*A*a^4*b^6*d^10*x^7 + 105/8*B*a^6*b^4*x^16*e^10 + 63/4*A*a^5*b^5*x^16*e^10 + 140*B*a^6*b^4*d*x^15*e^9 + 168*A*a^5*b^5*d*x^15*e^9 + 675*B*a^6*b^4*d^2*x^14*e^8 + 810*A*a^5*b^5*d^2*x^14*e^8 + 25200/13*B*a^6*b^4*d^3*x^13*e^7 + 30240/13*A*a^5*b^5*d^3*x^13*e^7 + 3675*B*a^6*b^4*d^4*x^12*e^6 + 4410*A*a^5*b^5*d^4*x^12*e^6 + 52920/11*B*a^6*b^4*d^5*x^11*e^5 + 63504/11*A*a^5*b^5*d^5*x^11*e^5 + 4410*B*a^6*b^4*d^6*x^10*e^4 + 5292*A*a^5*b^5*d^6*x^10*e^4 + 2800*B*a^6*b^4*d^7*x^9*e^3 + 3360*A*a^5*b^5*d^7*x^9*e^3 + 4725/4*B*a^6*b^4*d^8*x^8*e^2 + 2835/2*A*a^5*b^5*d^8*x^8*e^2 + 300*B*a^6*b^4*d^9*x^7*e + 360*A*a^5*b^5*d^9*x^7*e + 35*B*a^6*b^4*d^10*x^6 + 42*A*a^5*b^5*d^10*x^6 + 8*B*a^7*b^3*x^15*e^10 + 14*A*a^6*b^4*x^15*e^10 + 600/7*B*a^7*b^3*d*x^14*e^9 + 150*A*a^6*b^4*d*x^14*e^9 + 5400/13*B*a^7*b^3*d^2*x^13*e^8 + 9450/13*A*a^6*b^4*d^2*x^13*e^8 + 1200*B*a^7*b^3*d^3*x^12*e^7 + 2100*A*a^6*b^4*d^3*x^12*e^7 + 25200/11*B*a^7*b^3*d^4*x^11*e^6 + 44100/11*A*a^6*b^4*d^4*x^11*e^6 + 3024*B*a^7*b^3*d^5*x^10*e^5 + 5292*A*a^6*b^4*d^5*x^10*e^5 + 2800*B*a^7*b^3*d^6*x^9*e^4 + 4900*A*a^6*b^4*d^6*x^9*e^4 + 1800*B*a^7*b^3*d^7*x^8*e^3 + 3150*A*a^6*b^4*d^7*x^8*e^3 + 5400/7*B*a^7*b^3*d^8*x^7*e^2 + 1350*A*a^6*b^4*d^8*x^7*e^2 + 200*B*a^7*b^3*d^9*x^6*e + 350*A*a^6*b^4*d^9*x^6*e + 24*B*a^7*b^3*d^10*x^5 + 42*A*a^6*b^4*d^10*x^5 + 45/14*B*a^8*b^2*x^14*e^10 + 60/7*A*a^7*b^3*x^14*e^10 + 450/13*B*a^8*b^2*d*x^13*e^9 + 1200/13*A*a^7*b^3*d*x^13*e^9 + 675/4*B*a^8*b^2*d^2*x^12*e^8 + 450*A*a^7*b^3*d^2*x^12*e^8 + 5400/11*B*a^8*b^2*d^3*x^11*e^7 + 14400/11*A*a^7*b^3*d^3*x^11*e^7 + 945*B*a^8*b^2*d^4*x^10*e^6 + 2520*A*a^7*b^3*d^4*x^10*e^6 + 1260*B*a^8*b^2*d^5*x^9*e^5 + 3360*A*a^7*b^3*d^5*x^9*e^5 + 4725/4*B*a^8*b^2*d^6*x^8*e^4 + 3150*A*a^7*b^3*d^6*x^8*e^4 + 5400/7*B*a^8*b^2*d^7*x^7*e^3 + 14400/7*A*a^7*b^3*d^7*x^7*e^3 + 675/2*B*a^8*b^2*d^8*x^6*e^2 + 900*A*a^7*b^3*d^8*x^6*e^2 + 90*B*a^8*b^2*d^9*x^5*e + 240*A*a^7*b^3*d^9*x^5*e + 45/4*B*a^8*b^2*d^10*x^4 + 30*A*a^7*b^3*d^10*x^4 + 10/13*B*a^9*b*x^13*e^10 + 45/13*A*a^8*b^2*x^13*e^10 + 25/3*B*a^9*b*d*x^12*e^9 + 75/2*A*a^8*b^2*d*x^12*e^9 + 450/11*B*a^9*b*d^2*x^11*e^8 + 2025/11*A*a^8*b^2*d^2*x^11*e^8 + 120*B*a^9*b*d^3*x^10*e^7 + 540*A*a^8*b^2*d^3*x^10*e^7 + 700/3*B*a^9*b*d^4*x^9*e^6 + 1050*A*a^8*b^2*d^4*x^9*e^6 + 315*B*a^9*b*d^5*x^8*e^5 + 2835/2*A*a^8*b^2*d^5*x^8*e^5 + 300*B*a^9*b*d^6*x^7*e^4 + 1350*A*a^8*b^2*d^6*x^7*e^4 + 200*B*a^9*b*d^7*x^6*e^3 + 900*A*a^8*b^2*d^7*x^6*e^3 + 90*B*a^9*b*d^8*x^5*e^2 + 405*A*a^8*b^2*d^8*x^5*e^2 + 25*B*a^9*b*d^9*x^4*e + 225/2*A*a^8*b^2*d^9*x^4*e + 10/3*B*a^9*b*d^10*x^3 + 15*A*a^8*b^2*d^10*x^3 + 1/12*B*a^10*x^12*e^10 + 5/6*A*a^9*b*x^12*e^10 + 10/11*B*a^10*d*x^11*e^9 + 100/11*A*a^9*b*d*x^11*e^9 + 9/2*B*a^10*d^2*x^10*e^8 + 45*A*a^9*b*d^2*x^10*e^8 + 40/3*B*a^10*d^3*x^9*e^7 + 400/3*A*a^9*b*d^3*x^9*e^7 + 105/4*B*a^10*d^4*x^8*e^6 + 525/2*A*a^9*b*d^4*x^8*e^6 + 36*B*a^10*d^5*x^7*e^5 + 360*A*a^9*b*d^5*x^7*e^5 + 35*B*a^10*d^6*x^6*e^4 + 350*A*a^9*b*d^6*x^6*e^4 + 24*B*a^10*d^7*x^5*e^3 + 240*A*a^9*b*d^7*x^5*e^3 + 45/4*B*a^10*d^8*x^4*e^2 + 225/2*A*a^9*b*d^8*x^4*e^2 + 10/3*B*a^10*d^9*x^3*e + 100/3*A*a^9*b*d^9*x^3*e + 1/2*B*a^10*d^10*x^2 + 5*A*a^9*b*d^10*x^2 + 1/11*A*a^10*x^11*e^10 + A*a^10*d*x^10*e^9 + 5*A*a^10*d^2*x^9*e^8 + 15*A*a^10*d^3*x^8*e^7 + 30*A*a^10*d^4*x^7*e^6 + 42*A*a^10*d^5*x^6*e^5 + 42*A*a^10*d^6*x^5*e^4 + 30*A*a^10*d^7*x^4*e^3 + 15*A*a^10*d^8*x^3*e^2 + 5*A*a^10*d^9*x^2*e + A*a^10*d^10*x","B",0
1079,1,3382,0,1.320999," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d)^9,x, algorithm=""giac"")","\frac{1}{21} \, B b^{10} x^{21} e^{9} + \frac{9}{20} \, B b^{10} d x^{20} e^{8} + \frac{36}{19} \, B b^{10} d^{2} x^{19} e^{7} + \frac{14}{3} \, B b^{10} d^{3} x^{18} e^{6} + \frac{126}{17} \, B b^{10} d^{4} x^{17} e^{5} + \frac{63}{8} \, B b^{10} d^{5} x^{16} e^{4} + \frac{28}{5} \, B b^{10} d^{6} x^{15} e^{3} + \frac{18}{7} \, B b^{10} d^{7} x^{14} e^{2} + \frac{9}{13} \, B b^{10} d^{8} x^{13} e + \frac{1}{12} \, B b^{10} d^{9} x^{12} + \frac{1}{2} \, B a b^{9} x^{20} e^{9} + \frac{1}{20} \, A b^{10} x^{20} e^{9} + \frac{90}{19} \, B a b^{9} d x^{19} e^{8} + \frac{9}{19} \, A b^{10} d x^{19} e^{8} + 20 \, B a b^{9} d^{2} x^{18} e^{7} + 2 \, A b^{10} d^{2} x^{18} e^{7} + \frac{840}{17} \, B a b^{9} d^{3} x^{17} e^{6} + \frac{84}{17} \, A b^{10} d^{3} x^{17} e^{6} + \frac{315}{4} \, B a b^{9} d^{4} x^{16} e^{5} + \frac{63}{8} \, A b^{10} d^{4} x^{16} e^{5} + 84 \, B a b^{9} d^{5} x^{15} e^{4} + \frac{42}{5} \, A b^{10} d^{5} x^{15} e^{4} + 60 \, B a b^{9} d^{6} x^{14} e^{3} + 6 \, A b^{10} d^{6} x^{14} e^{3} + \frac{360}{13} \, B a b^{9} d^{7} x^{13} e^{2} + \frac{36}{13} \, A b^{10} d^{7} x^{13} e^{2} + \frac{15}{2} \, B a b^{9} d^{8} x^{12} e + \frac{3}{4} \, A b^{10} d^{8} x^{12} e + \frac{10}{11} \, B a b^{9} d^{9} x^{11} + \frac{1}{11} \, A b^{10} d^{9} x^{11} + \frac{45}{19} \, B a^{2} b^{8} x^{19} e^{9} + \frac{10}{19} \, A a b^{9} x^{19} e^{9} + \frac{45}{2} \, B a^{2} b^{8} d x^{18} e^{8} + 5 \, A a b^{9} d x^{18} e^{8} + \frac{1620}{17} \, B a^{2} b^{8} d^{2} x^{17} e^{7} + \frac{360}{17} \, A a b^{9} d^{2} x^{17} e^{7} + \frac{945}{4} \, B a^{2} b^{8} d^{3} x^{16} e^{6} + \frac{105}{2} \, A a b^{9} d^{3} x^{16} e^{6} + 378 \, B a^{2} b^{8} d^{4} x^{15} e^{5} + 84 \, A a b^{9} d^{4} x^{15} e^{5} + 405 \, B a^{2} b^{8} d^{5} x^{14} e^{4} + 90 \, A a b^{9} d^{5} x^{14} e^{4} + \frac{3780}{13} \, B a^{2} b^{8} d^{6} x^{13} e^{3} + \frac{840}{13} \, A a b^{9} d^{6} x^{13} e^{3} + 135 \, B a^{2} b^{8} d^{7} x^{12} e^{2} + 30 \, A a b^{9} d^{7} x^{12} e^{2} + \frac{405}{11} \, B a^{2} b^{8} d^{8} x^{11} e + \frac{90}{11} \, A a b^{9} d^{8} x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d^{9} x^{10} + A a b^{9} d^{9} x^{10} + \frac{20}{3} \, B a^{3} b^{7} x^{18} e^{9} + \frac{5}{2} \, A a^{2} b^{8} x^{18} e^{9} + \frac{1080}{17} \, B a^{3} b^{7} d x^{17} e^{8} + \frac{405}{17} \, A a^{2} b^{8} d x^{17} e^{8} + 270 \, B a^{3} b^{7} d^{2} x^{16} e^{7} + \frac{405}{4} \, A a^{2} b^{8} d^{2} x^{16} e^{7} + 672 \, B a^{3} b^{7} d^{3} x^{15} e^{6} + 252 \, A a^{2} b^{8} d^{3} x^{15} e^{6} + 1080 \, B a^{3} b^{7} d^{4} x^{14} e^{5} + 405 \, A a^{2} b^{8} d^{4} x^{14} e^{5} + \frac{15120}{13} \, B a^{3} b^{7} d^{5} x^{13} e^{4} + \frac{5670}{13} \, A a^{2} b^{8} d^{5} x^{13} e^{4} + 840 \, B a^{3} b^{7} d^{6} x^{12} e^{3} + 315 \, A a^{2} b^{8} d^{6} x^{12} e^{3} + \frac{4320}{11} \, B a^{3} b^{7} d^{7} x^{11} e^{2} + \frac{1620}{11} \, A a^{2} b^{8} d^{7} x^{11} e^{2} + 108 \, B a^{3} b^{7} d^{8} x^{10} e + \frac{81}{2} \, A a^{2} b^{8} d^{8} x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d^{9} x^{9} + 5 \, A a^{2} b^{8} d^{9} x^{9} + \frac{210}{17} \, B a^{4} b^{6} x^{17} e^{9} + \frac{120}{17} \, A a^{3} b^{7} x^{17} e^{9} + \frac{945}{8} \, B a^{4} b^{6} d x^{16} e^{8} + \frac{135}{2} \, A a^{3} b^{7} d x^{16} e^{8} + 504 \, B a^{4} b^{6} d^{2} x^{15} e^{7} + 288 \, A a^{3} b^{7} d^{2} x^{15} e^{7} + 1260 \, B a^{4} b^{6} d^{3} x^{14} e^{6} + 720 \, A a^{3} b^{7} d^{3} x^{14} e^{6} + \frac{26460}{13} \, B a^{4} b^{6} d^{4} x^{13} e^{5} + \frac{15120}{13} \, A a^{3} b^{7} d^{4} x^{13} e^{5} + 2205 \, B a^{4} b^{6} d^{5} x^{12} e^{4} + 1260 \, A a^{3} b^{7} d^{5} x^{12} e^{4} + \frac{17640}{11} \, B a^{4} b^{6} d^{6} x^{11} e^{3} + \frac{10080}{11} \, A a^{3} b^{7} d^{6} x^{11} e^{3} + 756 \, B a^{4} b^{6} d^{7} x^{10} e^{2} + 432 \, A a^{3} b^{7} d^{7} x^{10} e^{2} + 210 \, B a^{4} b^{6} d^{8} x^{9} e + 120 \, A a^{3} b^{7} d^{8} x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d^{9} x^{8} + 15 \, A a^{3} b^{7} d^{9} x^{8} + \frac{63}{4} \, B a^{5} b^{5} x^{16} e^{9} + \frac{105}{8} \, A a^{4} b^{6} x^{16} e^{9} + \frac{756}{5} \, B a^{5} b^{5} d x^{15} e^{8} + 126 \, A a^{4} b^{6} d x^{15} e^{8} + 648 \, B a^{5} b^{5} d^{2} x^{14} e^{7} + 540 \, A a^{4} b^{6} d^{2} x^{14} e^{7} + \frac{21168}{13} \, B a^{5} b^{5} d^{3} x^{13} e^{6} + \frac{17640}{13} \, A a^{4} b^{6} d^{3} x^{13} e^{6} + 2646 \, B a^{5} b^{5} d^{4} x^{12} e^{5} + 2205 \, A a^{4} b^{6} d^{4} x^{12} e^{5} + \frac{31752}{11} \, B a^{5} b^{5} d^{5} x^{11} e^{4} + \frac{26460}{11} \, A a^{4} b^{6} d^{5} x^{11} e^{4} + \frac{10584}{5} \, B a^{5} b^{5} d^{6} x^{10} e^{3} + 1764 \, A a^{4} b^{6} d^{6} x^{10} e^{3} + 1008 \, B a^{5} b^{5} d^{7} x^{9} e^{2} + 840 \, A a^{4} b^{6} d^{7} x^{9} e^{2} + \frac{567}{2} \, B a^{5} b^{5} d^{8} x^{8} e + \frac{945}{4} \, A a^{4} b^{6} d^{8} x^{8} e + 36 \, B a^{5} b^{5} d^{9} x^{7} + 30 \, A a^{4} b^{6} d^{9} x^{7} + 14 \, B a^{6} b^{4} x^{15} e^{9} + \frac{84}{5} \, A a^{5} b^{5} x^{15} e^{9} + 135 \, B a^{6} b^{4} d x^{14} e^{8} + 162 \, A a^{5} b^{5} d x^{14} e^{8} + \frac{7560}{13} \, B a^{6} b^{4} d^{2} x^{13} e^{7} + \frac{9072}{13} \, A a^{5} b^{5} d^{2} x^{13} e^{7} + 1470 \, B a^{6} b^{4} d^{3} x^{12} e^{6} + 1764 \, A a^{5} b^{5} d^{3} x^{12} e^{6} + \frac{26460}{11} \, B a^{6} b^{4} d^{4} x^{11} e^{5} + \frac{31752}{11} \, A a^{5} b^{5} d^{4} x^{11} e^{5} + 2646 \, B a^{6} b^{4} d^{5} x^{10} e^{4} + \frac{15876}{5} \, A a^{5} b^{5} d^{5} x^{10} e^{4} + 1960 \, B a^{6} b^{4} d^{6} x^{9} e^{3} + 2352 \, A a^{5} b^{5} d^{6} x^{9} e^{3} + 945 \, B a^{6} b^{4} d^{7} x^{8} e^{2} + 1134 \, A a^{5} b^{5} d^{7} x^{8} e^{2} + 270 \, B a^{6} b^{4} d^{8} x^{7} e + 324 \, A a^{5} b^{5} d^{8} x^{7} e + 35 \, B a^{6} b^{4} d^{9} x^{6} + 42 \, A a^{5} b^{5} d^{9} x^{6} + \frac{60}{7} \, B a^{7} b^{3} x^{14} e^{9} + 15 \, A a^{6} b^{4} x^{14} e^{9} + \frac{1080}{13} \, B a^{7} b^{3} d x^{13} e^{8} + \frac{1890}{13} \, A a^{6} b^{4} d x^{13} e^{8} + 360 \, B a^{7} b^{3} d^{2} x^{12} e^{7} + 630 \, A a^{6} b^{4} d^{2} x^{12} e^{7} + \frac{10080}{11} \, B a^{7} b^{3} d^{3} x^{11} e^{6} + \frac{17640}{11} \, A a^{6} b^{4} d^{3} x^{11} e^{6} + 1512 \, B a^{7} b^{3} d^{4} x^{10} e^{5} + 2646 \, A a^{6} b^{4} d^{4} x^{10} e^{5} + 1680 \, B a^{7} b^{3} d^{5} x^{9} e^{4} + 2940 \, A a^{6} b^{4} d^{5} x^{9} e^{4} + 1260 \, B a^{7} b^{3} d^{6} x^{8} e^{3} + 2205 \, A a^{6} b^{4} d^{6} x^{8} e^{3} + \frac{4320}{7} \, B a^{7} b^{3} d^{7} x^{7} e^{2} + 1080 \, A a^{6} b^{4} d^{7} x^{7} e^{2} + 180 \, B a^{7} b^{3} d^{8} x^{6} e + 315 \, A a^{6} b^{4} d^{8} x^{6} e + 24 \, B a^{7} b^{3} d^{9} x^{5} + 42 \, A a^{6} b^{4} d^{9} x^{5} + \frac{45}{13} \, B a^{8} b^{2} x^{13} e^{9} + \frac{120}{13} \, A a^{7} b^{3} x^{13} e^{9} + \frac{135}{4} \, B a^{8} b^{2} d x^{12} e^{8} + 90 \, A a^{7} b^{3} d x^{12} e^{8} + \frac{1620}{11} \, B a^{8} b^{2} d^{2} x^{11} e^{7} + \frac{4320}{11} \, A a^{7} b^{3} d^{2} x^{11} e^{7} + 378 \, B a^{8} b^{2} d^{3} x^{10} e^{6} + 1008 \, A a^{7} b^{3} d^{3} x^{10} e^{6} + 630 \, B a^{8} b^{2} d^{4} x^{9} e^{5} + 1680 \, A a^{7} b^{3} d^{4} x^{9} e^{5} + \frac{2835}{4} \, B a^{8} b^{2} d^{5} x^{8} e^{4} + 1890 \, A a^{7} b^{3} d^{5} x^{8} e^{4} + 540 \, B a^{8} b^{2} d^{6} x^{7} e^{3} + 1440 \, A a^{7} b^{3} d^{6} x^{7} e^{3} + 270 \, B a^{8} b^{2} d^{7} x^{6} e^{2} + 720 \, A a^{7} b^{3} d^{7} x^{6} e^{2} + 81 \, B a^{8} b^{2} d^{8} x^{5} e + 216 \, A a^{7} b^{3} d^{8} x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d^{9} x^{4} + 30 \, A a^{7} b^{3} d^{9} x^{4} + \frac{5}{6} \, B a^{9} b x^{12} e^{9} + \frac{15}{4} \, A a^{8} b^{2} x^{12} e^{9} + \frac{90}{11} \, B a^{9} b d x^{11} e^{8} + \frac{405}{11} \, A a^{8} b^{2} d x^{11} e^{8} + 36 \, B a^{9} b d^{2} x^{10} e^{7} + 162 \, A a^{8} b^{2} d^{2} x^{10} e^{7} + \frac{280}{3} \, B a^{9} b d^{3} x^{9} e^{6} + 420 \, A a^{8} b^{2} d^{3} x^{9} e^{6} + \frac{315}{2} \, B a^{9} b d^{4} x^{8} e^{5} + \frac{2835}{4} \, A a^{8} b^{2} d^{4} x^{8} e^{5} + 180 \, B a^{9} b d^{5} x^{7} e^{4} + 810 \, A a^{8} b^{2} d^{5} x^{7} e^{4} + 140 \, B a^{9} b d^{6} x^{6} e^{3} + 630 \, A a^{8} b^{2} d^{6} x^{6} e^{3} + 72 \, B a^{9} b d^{7} x^{5} e^{2} + 324 \, A a^{8} b^{2} d^{7} x^{5} e^{2} + \frac{45}{2} \, B a^{9} b d^{8} x^{4} e + \frac{405}{4} \, A a^{8} b^{2} d^{8} x^{4} e + \frac{10}{3} \, B a^{9} b d^{9} x^{3} + 15 \, A a^{8} b^{2} d^{9} x^{3} + \frac{1}{11} \, B a^{10} x^{11} e^{9} + \frac{10}{11} \, A a^{9} b x^{11} e^{9} + \frac{9}{10} \, B a^{10} d x^{10} e^{8} + 9 \, A a^{9} b d x^{10} e^{8} + 4 \, B a^{10} d^{2} x^{9} e^{7} + 40 \, A a^{9} b d^{2} x^{9} e^{7} + \frac{21}{2} \, B a^{10} d^{3} x^{8} e^{6} + 105 \, A a^{9} b d^{3} x^{8} e^{6} + 18 \, B a^{10} d^{4} x^{7} e^{5} + 180 \, A a^{9} b d^{4} x^{7} e^{5} + 21 \, B a^{10} d^{5} x^{6} e^{4} + 210 \, A a^{9} b d^{5} x^{6} e^{4} + \frac{84}{5} \, B a^{10} d^{6} x^{5} e^{3} + 168 \, A a^{9} b d^{6} x^{5} e^{3} + 9 \, B a^{10} d^{7} x^{4} e^{2} + 90 \, A a^{9} b d^{7} x^{4} e^{2} + 3 \, B a^{10} d^{8} x^{3} e + 30 \, A a^{9} b d^{8} x^{3} e + \frac{1}{2} \, B a^{10} d^{9} x^{2} + 5 \, A a^{9} b d^{9} x^{2} + \frac{1}{10} \, A a^{10} x^{10} e^{9} + A a^{10} d x^{9} e^{8} + \frac{9}{2} \, A a^{10} d^{2} x^{8} e^{7} + 12 \, A a^{10} d^{3} x^{7} e^{6} + 21 \, A a^{10} d^{4} x^{6} e^{5} + \frac{126}{5} \, A a^{10} d^{5} x^{5} e^{4} + 21 \, A a^{10} d^{6} x^{4} e^{3} + 12 \, A a^{10} d^{7} x^{3} e^{2} + \frac{9}{2} \, A a^{10} d^{8} x^{2} e + A a^{10} d^{9} x"," ",0,"1/21*B*b^10*x^21*e^9 + 9/20*B*b^10*d*x^20*e^8 + 36/19*B*b^10*d^2*x^19*e^7 + 14/3*B*b^10*d^3*x^18*e^6 + 126/17*B*b^10*d^4*x^17*e^5 + 63/8*B*b^10*d^5*x^16*e^4 + 28/5*B*b^10*d^6*x^15*e^3 + 18/7*B*b^10*d^7*x^14*e^2 + 9/13*B*b^10*d^8*x^13*e + 1/12*B*b^10*d^9*x^12 + 1/2*B*a*b^9*x^20*e^9 + 1/20*A*b^10*x^20*e^9 + 90/19*B*a*b^9*d*x^19*e^8 + 9/19*A*b^10*d*x^19*e^8 + 20*B*a*b^9*d^2*x^18*e^7 + 2*A*b^10*d^2*x^18*e^7 + 840/17*B*a*b^9*d^3*x^17*e^6 + 84/17*A*b^10*d^3*x^17*e^6 + 315/4*B*a*b^9*d^4*x^16*e^5 + 63/8*A*b^10*d^4*x^16*e^5 + 84*B*a*b^9*d^5*x^15*e^4 + 42/5*A*b^10*d^5*x^15*e^4 + 60*B*a*b^9*d^6*x^14*e^3 + 6*A*b^10*d^6*x^14*e^3 + 360/13*B*a*b^9*d^7*x^13*e^2 + 36/13*A*b^10*d^7*x^13*e^2 + 15/2*B*a*b^9*d^8*x^12*e + 3/4*A*b^10*d^8*x^12*e + 10/11*B*a*b^9*d^9*x^11 + 1/11*A*b^10*d^9*x^11 + 45/19*B*a^2*b^8*x^19*e^9 + 10/19*A*a*b^9*x^19*e^9 + 45/2*B*a^2*b^8*d*x^18*e^8 + 5*A*a*b^9*d*x^18*e^8 + 1620/17*B*a^2*b^8*d^2*x^17*e^7 + 360/17*A*a*b^9*d^2*x^17*e^7 + 945/4*B*a^2*b^8*d^3*x^16*e^6 + 105/2*A*a*b^9*d^3*x^16*e^6 + 378*B*a^2*b^8*d^4*x^15*e^5 + 84*A*a*b^9*d^4*x^15*e^5 + 405*B*a^2*b^8*d^5*x^14*e^4 + 90*A*a*b^9*d^5*x^14*e^4 + 3780/13*B*a^2*b^8*d^6*x^13*e^3 + 840/13*A*a*b^9*d^6*x^13*e^3 + 135*B*a^2*b^8*d^7*x^12*e^2 + 30*A*a*b^9*d^7*x^12*e^2 + 405/11*B*a^2*b^8*d^8*x^11*e + 90/11*A*a*b^9*d^8*x^11*e + 9/2*B*a^2*b^8*d^9*x^10 + A*a*b^9*d^9*x^10 + 20/3*B*a^3*b^7*x^18*e^9 + 5/2*A*a^2*b^8*x^18*e^9 + 1080/17*B*a^3*b^7*d*x^17*e^8 + 405/17*A*a^2*b^8*d*x^17*e^8 + 270*B*a^3*b^7*d^2*x^16*e^7 + 405/4*A*a^2*b^8*d^2*x^16*e^7 + 672*B*a^3*b^7*d^3*x^15*e^6 + 252*A*a^2*b^8*d^3*x^15*e^6 + 1080*B*a^3*b^7*d^4*x^14*e^5 + 405*A*a^2*b^8*d^4*x^14*e^5 + 15120/13*B*a^3*b^7*d^5*x^13*e^4 + 5670/13*A*a^2*b^8*d^5*x^13*e^4 + 840*B*a^3*b^7*d^6*x^12*e^3 + 315*A*a^2*b^8*d^6*x^12*e^3 + 4320/11*B*a^3*b^7*d^7*x^11*e^2 + 1620/11*A*a^2*b^8*d^7*x^11*e^2 + 108*B*a^3*b^7*d^8*x^10*e + 81/2*A*a^2*b^8*d^8*x^10*e + 40/3*B*a^3*b^7*d^9*x^9 + 5*A*a^2*b^8*d^9*x^9 + 210/17*B*a^4*b^6*x^17*e^9 + 120/17*A*a^3*b^7*x^17*e^9 + 945/8*B*a^4*b^6*d*x^16*e^8 + 135/2*A*a^3*b^7*d*x^16*e^8 + 504*B*a^4*b^6*d^2*x^15*e^7 + 288*A*a^3*b^7*d^2*x^15*e^7 + 1260*B*a^4*b^6*d^3*x^14*e^6 + 720*A*a^3*b^7*d^3*x^14*e^6 + 26460/13*B*a^4*b^6*d^4*x^13*e^5 + 15120/13*A*a^3*b^7*d^4*x^13*e^5 + 2205*B*a^4*b^6*d^5*x^12*e^4 + 1260*A*a^3*b^7*d^5*x^12*e^4 + 17640/11*B*a^4*b^6*d^6*x^11*e^3 + 10080/11*A*a^3*b^7*d^6*x^11*e^3 + 756*B*a^4*b^6*d^7*x^10*e^2 + 432*A*a^3*b^7*d^7*x^10*e^2 + 210*B*a^4*b^6*d^8*x^9*e + 120*A*a^3*b^7*d^8*x^9*e + 105/4*B*a^4*b^6*d^9*x^8 + 15*A*a^3*b^7*d^9*x^8 + 63/4*B*a^5*b^5*x^16*e^9 + 105/8*A*a^4*b^6*x^16*e^9 + 756/5*B*a^5*b^5*d*x^15*e^8 + 126*A*a^4*b^6*d*x^15*e^8 + 648*B*a^5*b^5*d^2*x^14*e^7 + 540*A*a^4*b^6*d^2*x^14*e^7 + 21168/13*B*a^5*b^5*d^3*x^13*e^6 + 17640/13*A*a^4*b^6*d^3*x^13*e^6 + 2646*B*a^5*b^5*d^4*x^12*e^5 + 2205*A*a^4*b^6*d^4*x^12*e^5 + 31752/11*B*a^5*b^5*d^5*x^11*e^4 + 26460/11*A*a^4*b^6*d^5*x^11*e^4 + 10584/5*B*a^5*b^5*d^6*x^10*e^3 + 1764*A*a^4*b^6*d^6*x^10*e^3 + 1008*B*a^5*b^5*d^7*x^9*e^2 + 840*A*a^4*b^6*d^7*x^9*e^2 + 567/2*B*a^5*b^5*d^8*x^8*e + 945/4*A*a^4*b^6*d^8*x^8*e + 36*B*a^5*b^5*d^9*x^7 + 30*A*a^4*b^6*d^9*x^7 + 14*B*a^6*b^4*x^15*e^9 + 84/5*A*a^5*b^5*x^15*e^9 + 135*B*a^6*b^4*d*x^14*e^8 + 162*A*a^5*b^5*d*x^14*e^8 + 7560/13*B*a^6*b^4*d^2*x^13*e^7 + 9072/13*A*a^5*b^5*d^2*x^13*e^7 + 1470*B*a^6*b^4*d^3*x^12*e^6 + 1764*A*a^5*b^5*d^3*x^12*e^6 + 26460/11*B*a^6*b^4*d^4*x^11*e^5 + 31752/11*A*a^5*b^5*d^4*x^11*e^5 + 2646*B*a^6*b^4*d^5*x^10*e^4 + 15876/5*A*a^5*b^5*d^5*x^10*e^4 + 1960*B*a^6*b^4*d^6*x^9*e^3 + 2352*A*a^5*b^5*d^6*x^9*e^3 + 945*B*a^6*b^4*d^7*x^8*e^2 + 1134*A*a^5*b^5*d^7*x^8*e^2 + 270*B*a^6*b^4*d^8*x^7*e + 324*A*a^5*b^5*d^8*x^7*e + 35*B*a^6*b^4*d^9*x^6 + 42*A*a^5*b^5*d^9*x^6 + 60/7*B*a^7*b^3*x^14*e^9 + 15*A*a^6*b^4*x^14*e^9 + 1080/13*B*a^7*b^3*d*x^13*e^8 + 1890/13*A*a^6*b^4*d*x^13*e^8 + 360*B*a^7*b^3*d^2*x^12*e^7 + 630*A*a^6*b^4*d^2*x^12*e^7 + 10080/11*B*a^7*b^3*d^3*x^11*e^6 + 17640/11*A*a^6*b^4*d^3*x^11*e^6 + 1512*B*a^7*b^3*d^4*x^10*e^5 + 2646*A*a^6*b^4*d^4*x^10*e^5 + 1680*B*a^7*b^3*d^5*x^9*e^4 + 2940*A*a^6*b^4*d^5*x^9*e^4 + 1260*B*a^7*b^3*d^6*x^8*e^3 + 2205*A*a^6*b^4*d^6*x^8*e^3 + 4320/7*B*a^7*b^3*d^7*x^7*e^2 + 1080*A*a^6*b^4*d^7*x^7*e^2 + 180*B*a^7*b^3*d^8*x^6*e + 315*A*a^6*b^4*d^8*x^6*e + 24*B*a^7*b^3*d^9*x^5 + 42*A*a^6*b^4*d^9*x^5 + 45/13*B*a^8*b^2*x^13*e^9 + 120/13*A*a^7*b^3*x^13*e^9 + 135/4*B*a^8*b^2*d*x^12*e^8 + 90*A*a^7*b^3*d*x^12*e^8 + 1620/11*B*a^8*b^2*d^2*x^11*e^7 + 4320/11*A*a^7*b^3*d^2*x^11*e^7 + 378*B*a^8*b^2*d^3*x^10*e^6 + 1008*A*a^7*b^3*d^3*x^10*e^6 + 630*B*a^8*b^2*d^4*x^9*e^5 + 1680*A*a^7*b^3*d^4*x^9*e^5 + 2835/4*B*a^8*b^2*d^5*x^8*e^4 + 1890*A*a^7*b^3*d^5*x^8*e^4 + 540*B*a^8*b^2*d^6*x^7*e^3 + 1440*A*a^7*b^3*d^6*x^7*e^3 + 270*B*a^8*b^2*d^7*x^6*e^2 + 720*A*a^7*b^3*d^7*x^6*e^2 + 81*B*a^8*b^2*d^8*x^5*e + 216*A*a^7*b^3*d^8*x^5*e + 45/4*B*a^8*b^2*d^9*x^4 + 30*A*a^7*b^3*d^9*x^4 + 5/6*B*a^9*b*x^12*e^9 + 15/4*A*a^8*b^2*x^12*e^9 + 90/11*B*a^9*b*d*x^11*e^8 + 405/11*A*a^8*b^2*d*x^11*e^8 + 36*B*a^9*b*d^2*x^10*e^7 + 162*A*a^8*b^2*d^2*x^10*e^7 + 280/3*B*a^9*b*d^3*x^9*e^6 + 420*A*a^8*b^2*d^3*x^9*e^6 + 315/2*B*a^9*b*d^4*x^8*e^5 + 2835/4*A*a^8*b^2*d^4*x^8*e^5 + 180*B*a^9*b*d^5*x^7*e^4 + 810*A*a^8*b^2*d^5*x^7*e^4 + 140*B*a^9*b*d^6*x^6*e^3 + 630*A*a^8*b^2*d^6*x^6*e^3 + 72*B*a^9*b*d^7*x^5*e^2 + 324*A*a^8*b^2*d^7*x^5*e^2 + 45/2*B*a^9*b*d^8*x^4*e + 405/4*A*a^8*b^2*d^8*x^4*e + 10/3*B*a^9*b*d^9*x^3 + 15*A*a^8*b^2*d^9*x^3 + 1/11*B*a^10*x^11*e^9 + 10/11*A*a^9*b*x^11*e^9 + 9/10*B*a^10*d*x^10*e^8 + 9*A*a^9*b*d*x^10*e^8 + 4*B*a^10*d^2*x^9*e^7 + 40*A*a^9*b*d^2*x^9*e^7 + 21/2*B*a^10*d^3*x^8*e^6 + 105*A*a^9*b*d^3*x^8*e^6 + 18*B*a^10*d^4*x^7*e^5 + 180*A*a^9*b*d^4*x^7*e^5 + 21*B*a^10*d^5*x^6*e^4 + 210*A*a^9*b*d^5*x^6*e^4 + 84/5*B*a^10*d^6*x^5*e^3 + 168*A*a^9*b*d^6*x^5*e^3 + 9*B*a^10*d^7*x^4*e^2 + 90*A*a^9*b*d^7*x^4*e^2 + 3*B*a^10*d^8*x^3*e + 30*A*a^9*b*d^8*x^3*e + 1/2*B*a^10*d^9*x^2 + 5*A*a^9*b*d^9*x^2 + 1/10*A*a^10*x^10*e^9 + A*a^10*d*x^9*e^8 + 9/2*A*a^10*d^2*x^8*e^7 + 12*A*a^10*d^3*x^7*e^6 + 21*A*a^10*d^4*x^6*e^5 + 126/5*A*a^10*d^5*x^5*e^4 + 21*A*a^10*d^6*x^4*e^3 + 12*A*a^10*d^7*x^3*e^2 + 9/2*A*a^10*d^8*x^2*e + A*a^10*d^9*x","B",0
1080,1,3027,0,1.353533," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d)^8,x, algorithm=""giac"")","\frac{1}{20} \, B b^{10} x^{20} e^{8} + \frac{8}{19} \, B b^{10} d x^{19} e^{7} + \frac{14}{9} \, B b^{10} d^{2} x^{18} e^{6} + \frac{56}{17} \, B b^{10} d^{3} x^{17} e^{5} + \frac{35}{8} \, B b^{10} d^{4} x^{16} e^{4} + \frac{56}{15} \, B b^{10} d^{5} x^{15} e^{3} + 2 \, B b^{10} d^{6} x^{14} e^{2} + \frac{8}{13} \, B b^{10} d^{7} x^{13} e + \frac{1}{12} \, B b^{10} d^{8} x^{12} + \frac{10}{19} \, B a b^{9} x^{19} e^{8} + \frac{1}{19} \, A b^{10} x^{19} e^{8} + \frac{40}{9} \, B a b^{9} d x^{18} e^{7} + \frac{4}{9} \, A b^{10} d x^{18} e^{7} + \frac{280}{17} \, B a b^{9} d^{2} x^{17} e^{6} + \frac{28}{17} \, A b^{10} d^{2} x^{17} e^{6} + 35 \, B a b^{9} d^{3} x^{16} e^{5} + \frac{7}{2} \, A b^{10} d^{3} x^{16} e^{5} + \frac{140}{3} \, B a b^{9} d^{4} x^{15} e^{4} + \frac{14}{3} \, A b^{10} d^{4} x^{15} e^{4} + 40 \, B a b^{9} d^{5} x^{14} e^{3} + 4 \, A b^{10} d^{5} x^{14} e^{3} + \frac{280}{13} \, B a b^{9} d^{6} x^{13} e^{2} + \frac{28}{13} \, A b^{10} d^{6} x^{13} e^{2} + \frac{20}{3} \, B a b^{9} d^{7} x^{12} e + \frac{2}{3} \, A b^{10} d^{7} x^{12} e + \frac{10}{11} \, B a b^{9} d^{8} x^{11} + \frac{1}{11} \, A b^{10} d^{8} x^{11} + \frac{5}{2} \, B a^{2} b^{8} x^{18} e^{8} + \frac{5}{9} \, A a b^{9} x^{18} e^{8} + \frac{360}{17} \, B a^{2} b^{8} d x^{17} e^{7} + \frac{80}{17} \, A a b^{9} d x^{17} e^{7} + \frac{315}{4} \, B a^{2} b^{8} d^{2} x^{16} e^{6} + \frac{35}{2} \, A a b^{9} d^{2} x^{16} e^{6} + 168 \, B a^{2} b^{8} d^{3} x^{15} e^{5} + \frac{112}{3} \, A a b^{9} d^{3} x^{15} e^{5} + 225 \, B a^{2} b^{8} d^{4} x^{14} e^{4} + 50 \, A a b^{9} d^{4} x^{14} e^{4} + \frac{2520}{13} \, B a^{2} b^{8} d^{5} x^{13} e^{3} + \frac{560}{13} \, A a b^{9} d^{5} x^{13} e^{3} + 105 \, B a^{2} b^{8} d^{6} x^{12} e^{2} + \frac{70}{3} \, A a b^{9} d^{6} x^{12} e^{2} + \frac{360}{11} \, B a^{2} b^{8} d^{7} x^{11} e + \frac{80}{11} \, A a b^{9} d^{7} x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d^{8} x^{10} + A a b^{9} d^{8} x^{10} + \frac{120}{17} \, B a^{3} b^{7} x^{17} e^{8} + \frac{45}{17} \, A a^{2} b^{8} x^{17} e^{8} + 60 \, B a^{3} b^{7} d x^{16} e^{7} + \frac{45}{2} \, A a^{2} b^{8} d x^{16} e^{7} + 224 \, B a^{3} b^{7} d^{2} x^{15} e^{6} + 84 \, A a^{2} b^{8} d^{2} x^{15} e^{6} + 480 \, B a^{3} b^{7} d^{3} x^{14} e^{5} + 180 \, A a^{2} b^{8} d^{3} x^{14} e^{5} + \frac{8400}{13} \, B a^{3} b^{7} d^{4} x^{13} e^{4} + \frac{3150}{13} \, A a^{2} b^{8} d^{4} x^{13} e^{4} + 560 \, B a^{3} b^{7} d^{5} x^{12} e^{3} + 210 \, A a^{2} b^{8} d^{5} x^{12} e^{3} + \frac{3360}{11} \, B a^{3} b^{7} d^{6} x^{11} e^{2} + \frac{1260}{11} \, A a^{2} b^{8} d^{6} x^{11} e^{2} + 96 \, B a^{3} b^{7} d^{7} x^{10} e + 36 \, A a^{2} b^{8} d^{7} x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d^{8} x^{9} + 5 \, A a^{2} b^{8} d^{8} x^{9} + \frac{105}{8} \, B a^{4} b^{6} x^{16} e^{8} + \frac{15}{2} \, A a^{3} b^{7} x^{16} e^{8} + 112 \, B a^{4} b^{6} d x^{15} e^{7} + 64 \, A a^{3} b^{7} d x^{15} e^{7} + 420 \, B a^{4} b^{6} d^{2} x^{14} e^{6} + 240 \, A a^{3} b^{7} d^{2} x^{14} e^{6} + \frac{11760}{13} \, B a^{4} b^{6} d^{3} x^{13} e^{5} + \frac{6720}{13} \, A a^{3} b^{7} d^{3} x^{13} e^{5} + 1225 \, B a^{4} b^{6} d^{4} x^{12} e^{4} + 700 \, A a^{3} b^{7} d^{4} x^{12} e^{4} + \frac{11760}{11} \, B a^{4} b^{6} d^{5} x^{11} e^{3} + \frac{6720}{11} \, A a^{3} b^{7} d^{5} x^{11} e^{3} + 588 \, B a^{4} b^{6} d^{6} x^{10} e^{2} + 336 \, A a^{3} b^{7} d^{6} x^{10} e^{2} + \frac{560}{3} \, B a^{4} b^{6} d^{7} x^{9} e + \frac{320}{3} \, A a^{3} b^{7} d^{7} x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d^{8} x^{8} + 15 \, A a^{3} b^{7} d^{8} x^{8} + \frac{84}{5} \, B a^{5} b^{5} x^{15} e^{8} + 14 \, A a^{4} b^{6} x^{15} e^{8} + 144 \, B a^{5} b^{5} d x^{14} e^{7} + 120 \, A a^{4} b^{6} d x^{14} e^{7} + \frac{7056}{13} \, B a^{5} b^{5} d^{2} x^{13} e^{6} + \frac{5880}{13} \, A a^{4} b^{6} d^{2} x^{13} e^{6} + 1176 \, B a^{5} b^{5} d^{3} x^{12} e^{5} + 980 \, A a^{4} b^{6} d^{3} x^{12} e^{5} + \frac{17640}{11} \, B a^{5} b^{5} d^{4} x^{11} e^{4} + \frac{14700}{11} \, A a^{4} b^{6} d^{4} x^{11} e^{4} + \frac{7056}{5} \, B a^{5} b^{5} d^{5} x^{10} e^{3} + 1176 \, A a^{4} b^{6} d^{5} x^{10} e^{3} + 784 \, B a^{5} b^{5} d^{6} x^{9} e^{2} + \frac{1960}{3} \, A a^{4} b^{6} d^{6} x^{9} e^{2} + 252 \, B a^{5} b^{5} d^{7} x^{8} e + 210 \, A a^{4} b^{6} d^{7} x^{8} e + 36 \, B a^{5} b^{5} d^{8} x^{7} + 30 \, A a^{4} b^{6} d^{8} x^{7} + 15 \, B a^{6} b^{4} x^{14} e^{8} + 18 \, A a^{5} b^{5} x^{14} e^{8} + \frac{1680}{13} \, B a^{6} b^{4} d x^{13} e^{7} + \frac{2016}{13} \, A a^{5} b^{5} d x^{13} e^{7} + 490 \, B a^{6} b^{4} d^{2} x^{12} e^{6} + 588 \, A a^{5} b^{5} d^{2} x^{12} e^{6} + \frac{11760}{11} \, B a^{6} b^{4} d^{3} x^{11} e^{5} + \frac{14112}{11} \, A a^{5} b^{5} d^{3} x^{11} e^{5} + 1470 \, B a^{6} b^{4} d^{4} x^{10} e^{4} + 1764 \, A a^{5} b^{5} d^{4} x^{10} e^{4} + \frac{3920}{3} \, B a^{6} b^{4} d^{5} x^{9} e^{3} + 1568 \, A a^{5} b^{5} d^{5} x^{9} e^{3} + 735 \, B a^{6} b^{4} d^{6} x^{8} e^{2} + 882 \, A a^{5} b^{5} d^{6} x^{8} e^{2} + 240 \, B a^{6} b^{4} d^{7} x^{7} e + 288 \, A a^{5} b^{5} d^{7} x^{7} e + 35 \, B a^{6} b^{4} d^{8} x^{6} + 42 \, A a^{5} b^{5} d^{8} x^{6} + \frac{120}{13} \, B a^{7} b^{3} x^{13} e^{8} + \frac{210}{13} \, A a^{6} b^{4} x^{13} e^{8} + 80 \, B a^{7} b^{3} d x^{12} e^{7} + 140 \, A a^{6} b^{4} d x^{12} e^{7} + \frac{3360}{11} \, B a^{7} b^{3} d^{2} x^{11} e^{6} + \frac{5880}{11} \, A a^{6} b^{4} d^{2} x^{11} e^{6} + 672 \, B a^{7} b^{3} d^{3} x^{10} e^{5} + 1176 \, A a^{6} b^{4} d^{3} x^{10} e^{5} + \frac{2800}{3} \, B a^{7} b^{3} d^{4} x^{9} e^{4} + \frac{4900}{3} \, A a^{6} b^{4} d^{4} x^{9} e^{4} + 840 \, B a^{7} b^{3} d^{5} x^{8} e^{3} + 1470 \, A a^{6} b^{4} d^{5} x^{8} e^{3} + 480 \, B a^{7} b^{3} d^{6} x^{7} e^{2} + 840 \, A a^{6} b^{4} d^{6} x^{7} e^{2} + 160 \, B a^{7} b^{3} d^{7} x^{6} e + 280 \, A a^{6} b^{4} d^{7} x^{6} e + 24 \, B a^{7} b^{3} d^{8} x^{5} + 42 \, A a^{6} b^{4} d^{8} x^{5} + \frac{15}{4} \, B a^{8} b^{2} x^{12} e^{8} + 10 \, A a^{7} b^{3} x^{12} e^{8} + \frac{360}{11} \, B a^{8} b^{2} d x^{11} e^{7} + \frac{960}{11} \, A a^{7} b^{3} d x^{11} e^{7} + 126 \, B a^{8} b^{2} d^{2} x^{10} e^{6} + 336 \, A a^{7} b^{3} d^{2} x^{10} e^{6} + 280 \, B a^{8} b^{2} d^{3} x^{9} e^{5} + \frac{2240}{3} \, A a^{7} b^{3} d^{3} x^{9} e^{5} + \frac{1575}{4} \, B a^{8} b^{2} d^{4} x^{8} e^{4} + 1050 \, A a^{7} b^{3} d^{4} x^{8} e^{4} + 360 \, B a^{8} b^{2} d^{5} x^{7} e^{3} + 960 \, A a^{7} b^{3} d^{5} x^{7} e^{3} + 210 \, B a^{8} b^{2} d^{6} x^{6} e^{2} + 560 \, A a^{7} b^{3} d^{6} x^{6} e^{2} + 72 \, B a^{8} b^{2} d^{7} x^{5} e + 192 \, A a^{7} b^{3} d^{7} x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d^{8} x^{4} + 30 \, A a^{7} b^{3} d^{8} x^{4} + \frac{10}{11} \, B a^{9} b x^{11} e^{8} + \frac{45}{11} \, A a^{8} b^{2} x^{11} e^{8} + 8 \, B a^{9} b d x^{10} e^{7} + 36 \, A a^{8} b^{2} d x^{10} e^{7} + \frac{280}{9} \, B a^{9} b d^{2} x^{9} e^{6} + 140 \, A a^{8} b^{2} d^{2} x^{9} e^{6} + 70 \, B a^{9} b d^{3} x^{8} e^{5} + 315 \, A a^{8} b^{2} d^{3} x^{8} e^{5} + 100 \, B a^{9} b d^{4} x^{7} e^{4} + 450 \, A a^{8} b^{2} d^{4} x^{7} e^{4} + \frac{280}{3} \, B a^{9} b d^{5} x^{6} e^{3} + 420 \, A a^{8} b^{2} d^{5} x^{6} e^{3} + 56 \, B a^{9} b d^{6} x^{5} e^{2} + 252 \, A a^{8} b^{2} d^{6} x^{5} e^{2} + 20 \, B a^{9} b d^{7} x^{4} e + 90 \, A a^{8} b^{2} d^{7} x^{4} e + \frac{10}{3} \, B a^{9} b d^{8} x^{3} + 15 \, A a^{8} b^{2} d^{8} x^{3} + \frac{1}{10} \, B a^{10} x^{10} e^{8} + A a^{9} b x^{10} e^{8} + \frac{8}{9} \, B a^{10} d x^{9} e^{7} + \frac{80}{9} \, A a^{9} b d x^{9} e^{7} + \frac{7}{2} \, B a^{10} d^{2} x^{8} e^{6} + 35 \, A a^{9} b d^{2} x^{8} e^{6} + 8 \, B a^{10} d^{3} x^{7} e^{5} + 80 \, A a^{9} b d^{3} x^{7} e^{5} + \frac{35}{3} \, B a^{10} d^{4} x^{6} e^{4} + \frac{350}{3} \, A a^{9} b d^{4} x^{6} e^{4} + \frac{56}{5} \, B a^{10} d^{5} x^{5} e^{3} + 112 \, A a^{9} b d^{5} x^{5} e^{3} + 7 \, B a^{10} d^{6} x^{4} e^{2} + 70 \, A a^{9} b d^{6} x^{4} e^{2} + \frac{8}{3} \, B a^{10} d^{7} x^{3} e + \frac{80}{3} \, A a^{9} b d^{7} x^{3} e + \frac{1}{2} \, B a^{10} d^{8} x^{2} + 5 \, A a^{9} b d^{8} x^{2} + \frac{1}{9} \, A a^{10} x^{9} e^{8} + A a^{10} d x^{8} e^{7} + 4 \, A a^{10} d^{2} x^{7} e^{6} + \frac{28}{3} \, A a^{10} d^{3} x^{6} e^{5} + 14 \, A a^{10} d^{4} x^{5} e^{4} + 14 \, A a^{10} d^{5} x^{4} e^{3} + \frac{28}{3} \, A a^{10} d^{6} x^{3} e^{2} + 4 \, A a^{10} d^{7} x^{2} e + A a^{10} d^{8} x"," ",0,"1/20*B*b^10*x^20*e^8 + 8/19*B*b^10*d*x^19*e^7 + 14/9*B*b^10*d^2*x^18*e^6 + 56/17*B*b^10*d^3*x^17*e^5 + 35/8*B*b^10*d^4*x^16*e^4 + 56/15*B*b^10*d^5*x^15*e^3 + 2*B*b^10*d^6*x^14*e^2 + 8/13*B*b^10*d^7*x^13*e + 1/12*B*b^10*d^8*x^12 + 10/19*B*a*b^9*x^19*e^8 + 1/19*A*b^10*x^19*e^8 + 40/9*B*a*b^9*d*x^18*e^7 + 4/9*A*b^10*d*x^18*e^7 + 280/17*B*a*b^9*d^2*x^17*e^6 + 28/17*A*b^10*d^2*x^17*e^6 + 35*B*a*b^9*d^3*x^16*e^5 + 7/2*A*b^10*d^3*x^16*e^5 + 140/3*B*a*b^9*d^4*x^15*e^4 + 14/3*A*b^10*d^4*x^15*e^4 + 40*B*a*b^9*d^5*x^14*e^3 + 4*A*b^10*d^5*x^14*e^3 + 280/13*B*a*b^9*d^6*x^13*e^2 + 28/13*A*b^10*d^6*x^13*e^2 + 20/3*B*a*b^9*d^7*x^12*e + 2/3*A*b^10*d^7*x^12*e + 10/11*B*a*b^9*d^8*x^11 + 1/11*A*b^10*d^8*x^11 + 5/2*B*a^2*b^8*x^18*e^8 + 5/9*A*a*b^9*x^18*e^8 + 360/17*B*a^2*b^8*d*x^17*e^7 + 80/17*A*a*b^9*d*x^17*e^7 + 315/4*B*a^2*b^8*d^2*x^16*e^6 + 35/2*A*a*b^9*d^2*x^16*e^6 + 168*B*a^2*b^8*d^3*x^15*e^5 + 112/3*A*a*b^9*d^3*x^15*e^5 + 225*B*a^2*b^8*d^4*x^14*e^4 + 50*A*a*b^9*d^4*x^14*e^4 + 2520/13*B*a^2*b^8*d^5*x^13*e^3 + 560/13*A*a*b^9*d^5*x^13*e^3 + 105*B*a^2*b^8*d^6*x^12*e^2 + 70/3*A*a*b^9*d^6*x^12*e^2 + 360/11*B*a^2*b^8*d^7*x^11*e + 80/11*A*a*b^9*d^7*x^11*e + 9/2*B*a^2*b^8*d^8*x^10 + A*a*b^9*d^8*x^10 + 120/17*B*a^3*b^7*x^17*e^8 + 45/17*A*a^2*b^8*x^17*e^8 + 60*B*a^3*b^7*d*x^16*e^7 + 45/2*A*a^2*b^8*d*x^16*e^7 + 224*B*a^3*b^7*d^2*x^15*e^6 + 84*A*a^2*b^8*d^2*x^15*e^6 + 480*B*a^3*b^7*d^3*x^14*e^5 + 180*A*a^2*b^8*d^3*x^14*e^5 + 8400/13*B*a^3*b^7*d^4*x^13*e^4 + 3150/13*A*a^2*b^8*d^4*x^13*e^4 + 560*B*a^3*b^7*d^5*x^12*e^3 + 210*A*a^2*b^8*d^5*x^12*e^3 + 3360/11*B*a^3*b^7*d^6*x^11*e^2 + 1260/11*A*a^2*b^8*d^6*x^11*e^2 + 96*B*a^3*b^7*d^7*x^10*e + 36*A*a^2*b^8*d^7*x^10*e + 40/3*B*a^3*b^7*d^8*x^9 + 5*A*a^2*b^8*d^8*x^9 + 105/8*B*a^4*b^6*x^16*e^8 + 15/2*A*a^3*b^7*x^16*e^8 + 112*B*a^4*b^6*d*x^15*e^7 + 64*A*a^3*b^7*d*x^15*e^7 + 420*B*a^4*b^6*d^2*x^14*e^6 + 240*A*a^3*b^7*d^2*x^14*e^6 + 11760/13*B*a^4*b^6*d^3*x^13*e^5 + 6720/13*A*a^3*b^7*d^3*x^13*e^5 + 1225*B*a^4*b^6*d^4*x^12*e^4 + 700*A*a^3*b^7*d^4*x^12*e^4 + 11760/11*B*a^4*b^6*d^5*x^11*e^3 + 6720/11*A*a^3*b^7*d^5*x^11*e^3 + 588*B*a^4*b^6*d^6*x^10*e^2 + 336*A*a^3*b^7*d^6*x^10*e^2 + 560/3*B*a^4*b^6*d^7*x^9*e + 320/3*A*a^3*b^7*d^7*x^9*e + 105/4*B*a^4*b^6*d^8*x^8 + 15*A*a^3*b^7*d^8*x^8 + 84/5*B*a^5*b^5*x^15*e^8 + 14*A*a^4*b^6*x^15*e^8 + 144*B*a^5*b^5*d*x^14*e^7 + 120*A*a^4*b^6*d*x^14*e^7 + 7056/13*B*a^5*b^5*d^2*x^13*e^6 + 5880/13*A*a^4*b^6*d^2*x^13*e^6 + 1176*B*a^5*b^5*d^3*x^12*e^5 + 980*A*a^4*b^6*d^3*x^12*e^5 + 17640/11*B*a^5*b^5*d^4*x^11*e^4 + 14700/11*A*a^4*b^6*d^4*x^11*e^4 + 7056/5*B*a^5*b^5*d^5*x^10*e^3 + 1176*A*a^4*b^6*d^5*x^10*e^3 + 784*B*a^5*b^5*d^6*x^9*e^2 + 1960/3*A*a^4*b^6*d^6*x^9*e^2 + 252*B*a^5*b^5*d^7*x^8*e + 210*A*a^4*b^6*d^7*x^8*e + 36*B*a^5*b^5*d^8*x^7 + 30*A*a^4*b^6*d^8*x^7 + 15*B*a^6*b^4*x^14*e^8 + 18*A*a^5*b^5*x^14*e^8 + 1680/13*B*a^6*b^4*d*x^13*e^7 + 2016/13*A*a^5*b^5*d*x^13*e^7 + 490*B*a^6*b^4*d^2*x^12*e^6 + 588*A*a^5*b^5*d^2*x^12*e^6 + 11760/11*B*a^6*b^4*d^3*x^11*e^5 + 14112/11*A*a^5*b^5*d^3*x^11*e^5 + 1470*B*a^6*b^4*d^4*x^10*e^4 + 1764*A*a^5*b^5*d^4*x^10*e^4 + 3920/3*B*a^6*b^4*d^5*x^9*e^3 + 1568*A*a^5*b^5*d^5*x^9*e^3 + 735*B*a^6*b^4*d^6*x^8*e^2 + 882*A*a^5*b^5*d^6*x^8*e^2 + 240*B*a^6*b^4*d^7*x^7*e + 288*A*a^5*b^5*d^7*x^7*e + 35*B*a^6*b^4*d^8*x^6 + 42*A*a^5*b^5*d^8*x^6 + 120/13*B*a^7*b^3*x^13*e^8 + 210/13*A*a^6*b^4*x^13*e^8 + 80*B*a^7*b^3*d*x^12*e^7 + 140*A*a^6*b^4*d*x^12*e^7 + 3360/11*B*a^7*b^3*d^2*x^11*e^6 + 5880/11*A*a^6*b^4*d^2*x^11*e^6 + 672*B*a^7*b^3*d^3*x^10*e^5 + 1176*A*a^6*b^4*d^3*x^10*e^5 + 2800/3*B*a^7*b^3*d^4*x^9*e^4 + 4900/3*A*a^6*b^4*d^4*x^9*e^4 + 840*B*a^7*b^3*d^5*x^8*e^3 + 1470*A*a^6*b^4*d^5*x^8*e^3 + 480*B*a^7*b^3*d^6*x^7*e^2 + 840*A*a^6*b^4*d^6*x^7*e^2 + 160*B*a^7*b^3*d^7*x^6*e + 280*A*a^6*b^4*d^7*x^6*e + 24*B*a^7*b^3*d^8*x^5 + 42*A*a^6*b^4*d^8*x^5 + 15/4*B*a^8*b^2*x^12*e^8 + 10*A*a^7*b^3*x^12*e^8 + 360/11*B*a^8*b^2*d*x^11*e^7 + 960/11*A*a^7*b^3*d*x^11*e^7 + 126*B*a^8*b^2*d^2*x^10*e^6 + 336*A*a^7*b^3*d^2*x^10*e^6 + 280*B*a^8*b^2*d^3*x^9*e^5 + 2240/3*A*a^7*b^3*d^3*x^9*e^5 + 1575/4*B*a^8*b^2*d^4*x^8*e^4 + 1050*A*a^7*b^3*d^4*x^8*e^4 + 360*B*a^8*b^2*d^5*x^7*e^3 + 960*A*a^7*b^3*d^5*x^7*e^3 + 210*B*a^8*b^2*d^6*x^6*e^2 + 560*A*a^7*b^3*d^6*x^6*e^2 + 72*B*a^8*b^2*d^7*x^5*e + 192*A*a^7*b^3*d^7*x^5*e + 45/4*B*a^8*b^2*d^8*x^4 + 30*A*a^7*b^3*d^8*x^4 + 10/11*B*a^9*b*x^11*e^8 + 45/11*A*a^8*b^2*x^11*e^8 + 8*B*a^9*b*d*x^10*e^7 + 36*A*a^8*b^2*d*x^10*e^7 + 280/9*B*a^9*b*d^2*x^9*e^6 + 140*A*a^8*b^2*d^2*x^9*e^6 + 70*B*a^9*b*d^3*x^8*e^5 + 315*A*a^8*b^2*d^3*x^8*e^5 + 100*B*a^9*b*d^4*x^7*e^4 + 450*A*a^8*b^2*d^4*x^7*e^4 + 280/3*B*a^9*b*d^5*x^6*e^3 + 420*A*a^8*b^2*d^5*x^6*e^3 + 56*B*a^9*b*d^6*x^5*e^2 + 252*A*a^8*b^2*d^6*x^5*e^2 + 20*B*a^9*b*d^7*x^4*e + 90*A*a^8*b^2*d^7*x^4*e + 10/3*B*a^9*b*d^8*x^3 + 15*A*a^8*b^2*d^8*x^3 + 1/10*B*a^10*x^10*e^8 + A*a^9*b*x^10*e^8 + 8/9*B*a^10*d*x^9*e^7 + 80/9*A*a^9*b*d*x^9*e^7 + 7/2*B*a^10*d^2*x^8*e^6 + 35*A*a^9*b*d^2*x^8*e^6 + 8*B*a^10*d^3*x^7*e^5 + 80*A*a^9*b*d^3*x^7*e^5 + 35/3*B*a^10*d^4*x^6*e^4 + 350/3*A*a^9*b*d^4*x^6*e^4 + 56/5*B*a^10*d^5*x^5*e^3 + 112*A*a^9*b*d^5*x^5*e^3 + 7*B*a^10*d^6*x^4*e^2 + 70*A*a^9*b*d^6*x^4*e^2 + 8/3*B*a^10*d^7*x^3*e + 80/3*A*a^9*b*d^7*x^3*e + 1/2*B*a^10*d^8*x^2 + 5*A*a^9*b*d^8*x^2 + 1/9*A*a^10*x^9*e^8 + A*a^10*d*x^8*e^7 + 4*A*a^10*d^2*x^7*e^6 + 28/3*A*a^10*d^3*x^6*e^5 + 14*A*a^10*d^4*x^5*e^4 + 14*A*a^10*d^5*x^4*e^3 + 28/3*A*a^10*d^6*x^3*e^2 + 4*A*a^10*d^7*x^2*e + A*a^10*d^8*x","B",0
1081,1,2673,0,1.366861," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d)^7,x, algorithm=""giac"")","\frac{1}{19} \, B b^{10} x^{19} e^{7} + \frac{7}{18} \, B b^{10} d x^{18} e^{6} + \frac{21}{17} \, B b^{10} d^{2} x^{17} e^{5} + \frac{35}{16} \, B b^{10} d^{3} x^{16} e^{4} + \frac{7}{3} \, B b^{10} d^{4} x^{15} e^{3} + \frac{3}{2} \, B b^{10} d^{5} x^{14} e^{2} + \frac{7}{13} \, B b^{10} d^{6} x^{13} e + \frac{1}{12} \, B b^{10} d^{7} x^{12} + \frac{5}{9} \, B a b^{9} x^{18} e^{7} + \frac{1}{18} \, A b^{10} x^{18} e^{7} + \frac{70}{17} \, B a b^{9} d x^{17} e^{6} + \frac{7}{17} \, A b^{10} d x^{17} e^{6} + \frac{105}{8} \, B a b^{9} d^{2} x^{16} e^{5} + \frac{21}{16} \, A b^{10} d^{2} x^{16} e^{5} + \frac{70}{3} \, B a b^{9} d^{3} x^{15} e^{4} + \frac{7}{3} \, A b^{10} d^{3} x^{15} e^{4} + 25 \, B a b^{9} d^{4} x^{14} e^{3} + \frac{5}{2} \, A b^{10} d^{4} x^{14} e^{3} + \frac{210}{13} \, B a b^{9} d^{5} x^{13} e^{2} + \frac{21}{13} \, A b^{10} d^{5} x^{13} e^{2} + \frac{35}{6} \, B a b^{9} d^{6} x^{12} e + \frac{7}{12} \, A b^{10} d^{6} x^{12} e + \frac{10}{11} \, B a b^{9} d^{7} x^{11} + \frac{1}{11} \, A b^{10} d^{7} x^{11} + \frac{45}{17} \, B a^{2} b^{8} x^{17} e^{7} + \frac{10}{17} \, A a b^{9} x^{17} e^{7} + \frac{315}{16} \, B a^{2} b^{8} d x^{16} e^{6} + \frac{35}{8} \, A a b^{9} d x^{16} e^{6} + 63 \, B a^{2} b^{8} d^{2} x^{15} e^{5} + 14 \, A a b^{9} d^{2} x^{15} e^{5} + \frac{225}{2} \, B a^{2} b^{8} d^{3} x^{14} e^{4} + 25 \, A a b^{9} d^{3} x^{14} e^{4} + \frac{1575}{13} \, B a^{2} b^{8} d^{4} x^{13} e^{3} + \frac{350}{13} \, A a b^{9} d^{4} x^{13} e^{3} + \frac{315}{4} \, B a^{2} b^{8} d^{5} x^{12} e^{2} + \frac{35}{2} \, A a b^{9} d^{5} x^{12} e^{2} + \frac{315}{11} \, B a^{2} b^{8} d^{6} x^{11} e + \frac{70}{11} \, A a b^{9} d^{6} x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d^{7} x^{10} + A a b^{9} d^{7} x^{10} + \frac{15}{2} \, B a^{3} b^{7} x^{16} e^{7} + \frac{45}{16} \, A a^{2} b^{8} x^{16} e^{7} + 56 \, B a^{3} b^{7} d x^{15} e^{6} + 21 \, A a^{2} b^{8} d x^{15} e^{6} + 180 \, B a^{3} b^{7} d^{2} x^{14} e^{5} + \frac{135}{2} \, A a^{2} b^{8} d^{2} x^{14} e^{5} + \frac{4200}{13} \, B a^{3} b^{7} d^{3} x^{13} e^{4} + \frac{1575}{13} \, A a^{2} b^{8} d^{3} x^{13} e^{4} + 350 \, B a^{3} b^{7} d^{4} x^{12} e^{3} + \frac{525}{4} \, A a^{2} b^{8} d^{4} x^{12} e^{3} + \frac{2520}{11} \, B a^{3} b^{7} d^{5} x^{11} e^{2} + \frac{945}{11} \, A a^{2} b^{8} d^{5} x^{11} e^{2} + 84 \, B a^{3} b^{7} d^{6} x^{10} e + \frac{63}{2} \, A a^{2} b^{8} d^{6} x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d^{7} x^{9} + 5 \, A a^{2} b^{8} d^{7} x^{9} + 14 \, B a^{4} b^{6} x^{15} e^{7} + 8 \, A a^{3} b^{7} x^{15} e^{7} + 105 \, B a^{4} b^{6} d x^{14} e^{6} + 60 \, A a^{3} b^{7} d x^{14} e^{6} + \frac{4410}{13} \, B a^{4} b^{6} d^{2} x^{13} e^{5} + \frac{2520}{13} \, A a^{3} b^{7} d^{2} x^{13} e^{5} + \frac{1225}{2} \, B a^{4} b^{6} d^{3} x^{12} e^{4} + 350 \, A a^{3} b^{7} d^{3} x^{12} e^{4} + \frac{7350}{11} \, B a^{4} b^{6} d^{4} x^{11} e^{3} + \frac{4200}{11} \, A a^{3} b^{7} d^{4} x^{11} e^{3} + 441 \, B a^{4} b^{6} d^{5} x^{10} e^{2} + 252 \, A a^{3} b^{7} d^{5} x^{10} e^{2} + \frac{490}{3} \, B a^{4} b^{6} d^{6} x^{9} e + \frac{280}{3} \, A a^{3} b^{7} d^{6} x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d^{7} x^{8} + 15 \, A a^{3} b^{7} d^{7} x^{8} + 18 \, B a^{5} b^{5} x^{14} e^{7} + 15 \, A a^{4} b^{6} x^{14} e^{7} + \frac{1764}{13} \, B a^{5} b^{5} d x^{13} e^{6} + \frac{1470}{13} \, A a^{4} b^{6} d x^{13} e^{6} + 441 \, B a^{5} b^{5} d^{2} x^{12} e^{5} + \frac{735}{2} \, A a^{4} b^{6} d^{2} x^{12} e^{5} + \frac{8820}{11} \, B a^{5} b^{5} d^{3} x^{11} e^{4} + \frac{7350}{11} \, A a^{4} b^{6} d^{3} x^{11} e^{4} + 882 \, B a^{5} b^{5} d^{4} x^{10} e^{3} + 735 \, A a^{4} b^{6} d^{4} x^{10} e^{3} + 588 \, B a^{5} b^{5} d^{5} x^{9} e^{2} + 490 \, A a^{4} b^{6} d^{5} x^{9} e^{2} + \frac{441}{2} \, B a^{5} b^{5} d^{6} x^{8} e + \frac{735}{4} \, A a^{4} b^{6} d^{6} x^{8} e + 36 \, B a^{5} b^{5} d^{7} x^{7} + 30 \, A a^{4} b^{6} d^{7} x^{7} + \frac{210}{13} \, B a^{6} b^{4} x^{13} e^{7} + \frac{252}{13} \, A a^{5} b^{5} x^{13} e^{7} + \frac{245}{2} \, B a^{6} b^{4} d x^{12} e^{6} + 147 \, A a^{5} b^{5} d x^{12} e^{6} + \frac{4410}{11} \, B a^{6} b^{4} d^{2} x^{11} e^{5} + \frac{5292}{11} \, A a^{5} b^{5} d^{2} x^{11} e^{5} + 735 \, B a^{6} b^{4} d^{3} x^{10} e^{4} + 882 \, A a^{5} b^{5} d^{3} x^{10} e^{4} + \frac{2450}{3} \, B a^{6} b^{4} d^{4} x^{9} e^{3} + 980 \, A a^{5} b^{5} d^{4} x^{9} e^{3} + \frac{2205}{4} \, B a^{6} b^{4} d^{5} x^{8} e^{2} + \frac{1323}{2} \, A a^{5} b^{5} d^{5} x^{8} e^{2} + 210 \, B a^{6} b^{4} d^{6} x^{7} e + 252 \, A a^{5} b^{5} d^{6} x^{7} e + 35 \, B a^{6} b^{4} d^{7} x^{6} + 42 \, A a^{5} b^{5} d^{7} x^{6} + 10 \, B a^{7} b^{3} x^{12} e^{7} + \frac{35}{2} \, A a^{6} b^{4} x^{12} e^{7} + \frac{840}{11} \, B a^{7} b^{3} d x^{11} e^{6} + \frac{1470}{11} \, A a^{6} b^{4} d x^{11} e^{6} + 252 \, B a^{7} b^{3} d^{2} x^{10} e^{5} + 441 \, A a^{6} b^{4} d^{2} x^{10} e^{5} + \frac{1400}{3} \, B a^{7} b^{3} d^{3} x^{9} e^{4} + \frac{2450}{3} \, A a^{6} b^{4} d^{3} x^{9} e^{4} + 525 \, B a^{7} b^{3} d^{4} x^{8} e^{3} + \frac{3675}{4} \, A a^{6} b^{4} d^{4} x^{8} e^{3} + 360 \, B a^{7} b^{3} d^{5} x^{7} e^{2} + 630 \, A a^{6} b^{4} d^{5} x^{7} e^{2} + 140 \, B a^{7} b^{3} d^{6} x^{6} e + 245 \, A a^{6} b^{4} d^{6} x^{6} e + 24 \, B a^{7} b^{3} d^{7} x^{5} + 42 \, A a^{6} b^{4} d^{7} x^{5} + \frac{45}{11} \, B a^{8} b^{2} x^{11} e^{7} + \frac{120}{11} \, A a^{7} b^{3} x^{11} e^{7} + \frac{63}{2} \, B a^{8} b^{2} d x^{10} e^{6} + 84 \, A a^{7} b^{3} d x^{10} e^{6} + 105 \, B a^{8} b^{2} d^{2} x^{9} e^{5} + 280 \, A a^{7} b^{3} d^{2} x^{9} e^{5} + \frac{1575}{8} \, B a^{8} b^{2} d^{3} x^{8} e^{4} + 525 \, A a^{7} b^{3} d^{3} x^{8} e^{4} + 225 \, B a^{8} b^{2} d^{4} x^{7} e^{3} + 600 \, A a^{7} b^{3} d^{4} x^{7} e^{3} + \frac{315}{2} \, B a^{8} b^{2} d^{5} x^{6} e^{2} + 420 \, A a^{7} b^{3} d^{5} x^{6} e^{2} + 63 \, B a^{8} b^{2} d^{6} x^{5} e + 168 \, A a^{7} b^{3} d^{6} x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d^{7} x^{4} + 30 \, A a^{7} b^{3} d^{7} x^{4} + B a^{9} b x^{10} e^{7} + \frac{9}{2} \, A a^{8} b^{2} x^{10} e^{7} + \frac{70}{9} \, B a^{9} b d x^{9} e^{6} + 35 \, A a^{8} b^{2} d x^{9} e^{6} + \frac{105}{4} \, B a^{9} b d^{2} x^{8} e^{5} + \frac{945}{8} \, A a^{8} b^{2} d^{2} x^{8} e^{5} + 50 \, B a^{9} b d^{3} x^{7} e^{4} + 225 \, A a^{8} b^{2} d^{3} x^{7} e^{4} + \frac{175}{3} \, B a^{9} b d^{4} x^{6} e^{3} + \frac{525}{2} \, A a^{8} b^{2} d^{4} x^{6} e^{3} + 42 \, B a^{9} b d^{5} x^{5} e^{2} + 189 \, A a^{8} b^{2} d^{5} x^{5} e^{2} + \frac{35}{2} \, B a^{9} b d^{6} x^{4} e + \frac{315}{4} \, A a^{8} b^{2} d^{6} x^{4} e + \frac{10}{3} \, B a^{9} b d^{7} x^{3} + 15 \, A a^{8} b^{2} d^{7} x^{3} + \frac{1}{9} \, B a^{10} x^{9} e^{7} + \frac{10}{9} \, A a^{9} b x^{9} e^{7} + \frac{7}{8} \, B a^{10} d x^{8} e^{6} + \frac{35}{4} \, A a^{9} b d x^{8} e^{6} + 3 \, B a^{10} d^{2} x^{7} e^{5} + 30 \, A a^{9} b d^{2} x^{7} e^{5} + \frac{35}{6} \, B a^{10} d^{3} x^{6} e^{4} + \frac{175}{3} \, A a^{9} b d^{3} x^{6} e^{4} + 7 \, B a^{10} d^{4} x^{5} e^{3} + 70 \, A a^{9} b d^{4} x^{5} e^{3} + \frac{21}{4} \, B a^{10} d^{5} x^{4} e^{2} + \frac{105}{2} \, A a^{9} b d^{5} x^{4} e^{2} + \frac{7}{3} \, B a^{10} d^{6} x^{3} e + \frac{70}{3} \, A a^{9} b d^{6} x^{3} e + \frac{1}{2} \, B a^{10} d^{7} x^{2} + 5 \, A a^{9} b d^{7} x^{2} + \frac{1}{8} \, A a^{10} x^{8} e^{7} + A a^{10} d x^{7} e^{6} + \frac{7}{2} \, A a^{10} d^{2} x^{6} e^{5} + 7 \, A a^{10} d^{3} x^{5} e^{4} + \frac{35}{4} \, A a^{10} d^{4} x^{4} e^{3} + 7 \, A a^{10} d^{5} x^{3} e^{2} + \frac{7}{2} \, A a^{10} d^{6} x^{2} e + A a^{10} d^{7} x"," ",0,"1/19*B*b^10*x^19*e^7 + 7/18*B*b^10*d*x^18*e^6 + 21/17*B*b^10*d^2*x^17*e^5 + 35/16*B*b^10*d^3*x^16*e^4 + 7/3*B*b^10*d^4*x^15*e^3 + 3/2*B*b^10*d^5*x^14*e^2 + 7/13*B*b^10*d^6*x^13*e + 1/12*B*b^10*d^7*x^12 + 5/9*B*a*b^9*x^18*e^7 + 1/18*A*b^10*x^18*e^7 + 70/17*B*a*b^9*d*x^17*e^6 + 7/17*A*b^10*d*x^17*e^6 + 105/8*B*a*b^9*d^2*x^16*e^5 + 21/16*A*b^10*d^2*x^16*e^5 + 70/3*B*a*b^9*d^3*x^15*e^4 + 7/3*A*b^10*d^3*x^15*e^4 + 25*B*a*b^9*d^4*x^14*e^3 + 5/2*A*b^10*d^4*x^14*e^3 + 210/13*B*a*b^9*d^5*x^13*e^2 + 21/13*A*b^10*d^5*x^13*e^2 + 35/6*B*a*b^9*d^6*x^12*e + 7/12*A*b^10*d^6*x^12*e + 10/11*B*a*b^9*d^7*x^11 + 1/11*A*b^10*d^7*x^11 + 45/17*B*a^2*b^8*x^17*e^7 + 10/17*A*a*b^9*x^17*e^7 + 315/16*B*a^2*b^8*d*x^16*e^6 + 35/8*A*a*b^9*d*x^16*e^6 + 63*B*a^2*b^8*d^2*x^15*e^5 + 14*A*a*b^9*d^2*x^15*e^5 + 225/2*B*a^2*b^8*d^3*x^14*e^4 + 25*A*a*b^9*d^3*x^14*e^4 + 1575/13*B*a^2*b^8*d^4*x^13*e^3 + 350/13*A*a*b^9*d^4*x^13*e^3 + 315/4*B*a^2*b^8*d^5*x^12*e^2 + 35/2*A*a*b^9*d^5*x^12*e^2 + 315/11*B*a^2*b^8*d^6*x^11*e + 70/11*A*a*b^9*d^6*x^11*e + 9/2*B*a^2*b^8*d^7*x^10 + A*a*b^9*d^7*x^10 + 15/2*B*a^3*b^7*x^16*e^7 + 45/16*A*a^2*b^8*x^16*e^7 + 56*B*a^3*b^7*d*x^15*e^6 + 21*A*a^2*b^8*d*x^15*e^6 + 180*B*a^3*b^7*d^2*x^14*e^5 + 135/2*A*a^2*b^8*d^2*x^14*e^5 + 4200/13*B*a^3*b^7*d^3*x^13*e^4 + 1575/13*A*a^2*b^8*d^3*x^13*e^4 + 350*B*a^3*b^7*d^4*x^12*e^3 + 525/4*A*a^2*b^8*d^4*x^12*e^3 + 2520/11*B*a^3*b^7*d^5*x^11*e^2 + 945/11*A*a^2*b^8*d^5*x^11*e^2 + 84*B*a^3*b^7*d^6*x^10*e + 63/2*A*a^2*b^8*d^6*x^10*e + 40/3*B*a^3*b^7*d^7*x^9 + 5*A*a^2*b^8*d^7*x^9 + 14*B*a^4*b^6*x^15*e^7 + 8*A*a^3*b^7*x^15*e^7 + 105*B*a^4*b^6*d*x^14*e^6 + 60*A*a^3*b^7*d*x^14*e^6 + 4410/13*B*a^4*b^6*d^2*x^13*e^5 + 2520/13*A*a^3*b^7*d^2*x^13*e^5 + 1225/2*B*a^4*b^6*d^3*x^12*e^4 + 350*A*a^3*b^7*d^3*x^12*e^4 + 7350/11*B*a^4*b^6*d^4*x^11*e^3 + 4200/11*A*a^3*b^7*d^4*x^11*e^3 + 441*B*a^4*b^6*d^5*x^10*e^2 + 252*A*a^3*b^7*d^5*x^10*e^2 + 490/3*B*a^4*b^6*d^6*x^9*e + 280/3*A*a^3*b^7*d^6*x^9*e + 105/4*B*a^4*b^6*d^7*x^8 + 15*A*a^3*b^7*d^7*x^8 + 18*B*a^5*b^5*x^14*e^7 + 15*A*a^4*b^6*x^14*e^7 + 1764/13*B*a^5*b^5*d*x^13*e^6 + 1470/13*A*a^4*b^6*d*x^13*e^6 + 441*B*a^5*b^5*d^2*x^12*e^5 + 735/2*A*a^4*b^6*d^2*x^12*e^5 + 8820/11*B*a^5*b^5*d^3*x^11*e^4 + 7350/11*A*a^4*b^6*d^3*x^11*e^4 + 882*B*a^5*b^5*d^4*x^10*e^3 + 735*A*a^4*b^6*d^4*x^10*e^3 + 588*B*a^5*b^5*d^5*x^9*e^2 + 490*A*a^4*b^6*d^5*x^9*e^2 + 441/2*B*a^5*b^5*d^6*x^8*e + 735/4*A*a^4*b^6*d^6*x^8*e + 36*B*a^5*b^5*d^7*x^7 + 30*A*a^4*b^6*d^7*x^7 + 210/13*B*a^6*b^4*x^13*e^7 + 252/13*A*a^5*b^5*x^13*e^7 + 245/2*B*a^6*b^4*d*x^12*e^6 + 147*A*a^5*b^5*d*x^12*e^6 + 4410/11*B*a^6*b^4*d^2*x^11*e^5 + 5292/11*A*a^5*b^5*d^2*x^11*e^5 + 735*B*a^6*b^4*d^3*x^10*e^4 + 882*A*a^5*b^5*d^3*x^10*e^4 + 2450/3*B*a^6*b^4*d^4*x^9*e^3 + 980*A*a^5*b^5*d^4*x^9*e^3 + 2205/4*B*a^6*b^4*d^5*x^8*e^2 + 1323/2*A*a^5*b^5*d^5*x^8*e^2 + 210*B*a^6*b^4*d^6*x^7*e + 252*A*a^5*b^5*d^6*x^7*e + 35*B*a^6*b^4*d^7*x^6 + 42*A*a^5*b^5*d^7*x^6 + 10*B*a^7*b^3*x^12*e^7 + 35/2*A*a^6*b^4*x^12*e^7 + 840/11*B*a^7*b^3*d*x^11*e^6 + 1470/11*A*a^6*b^4*d*x^11*e^6 + 252*B*a^7*b^3*d^2*x^10*e^5 + 441*A*a^6*b^4*d^2*x^10*e^5 + 1400/3*B*a^7*b^3*d^3*x^9*e^4 + 2450/3*A*a^6*b^4*d^3*x^9*e^4 + 525*B*a^7*b^3*d^4*x^8*e^3 + 3675/4*A*a^6*b^4*d^4*x^8*e^3 + 360*B*a^7*b^3*d^5*x^7*e^2 + 630*A*a^6*b^4*d^5*x^7*e^2 + 140*B*a^7*b^3*d^6*x^6*e + 245*A*a^6*b^4*d^6*x^6*e + 24*B*a^7*b^3*d^7*x^5 + 42*A*a^6*b^4*d^7*x^5 + 45/11*B*a^8*b^2*x^11*e^7 + 120/11*A*a^7*b^3*x^11*e^7 + 63/2*B*a^8*b^2*d*x^10*e^6 + 84*A*a^7*b^3*d*x^10*e^6 + 105*B*a^8*b^2*d^2*x^9*e^5 + 280*A*a^7*b^3*d^2*x^9*e^5 + 1575/8*B*a^8*b^2*d^3*x^8*e^4 + 525*A*a^7*b^3*d^3*x^8*e^4 + 225*B*a^8*b^2*d^4*x^7*e^3 + 600*A*a^7*b^3*d^4*x^7*e^3 + 315/2*B*a^8*b^2*d^5*x^6*e^2 + 420*A*a^7*b^3*d^5*x^6*e^2 + 63*B*a^8*b^2*d^6*x^5*e + 168*A*a^7*b^3*d^6*x^5*e + 45/4*B*a^8*b^2*d^7*x^4 + 30*A*a^7*b^3*d^7*x^4 + B*a^9*b*x^10*e^7 + 9/2*A*a^8*b^2*x^10*e^7 + 70/9*B*a^9*b*d*x^9*e^6 + 35*A*a^8*b^2*d*x^9*e^6 + 105/4*B*a^9*b*d^2*x^8*e^5 + 945/8*A*a^8*b^2*d^2*x^8*e^5 + 50*B*a^9*b*d^3*x^7*e^4 + 225*A*a^8*b^2*d^3*x^7*e^4 + 175/3*B*a^9*b*d^4*x^6*e^3 + 525/2*A*a^8*b^2*d^4*x^6*e^3 + 42*B*a^9*b*d^5*x^5*e^2 + 189*A*a^8*b^2*d^5*x^5*e^2 + 35/2*B*a^9*b*d^6*x^4*e + 315/4*A*a^8*b^2*d^6*x^4*e + 10/3*B*a^9*b*d^7*x^3 + 15*A*a^8*b^2*d^7*x^3 + 1/9*B*a^10*x^9*e^7 + 10/9*A*a^9*b*x^9*e^7 + 7/8*B*a^10*d*x^8*e^6 + 35/4*A*a^9*b*d*x^8*e^6 + 3*B*a^10*d^2*x^7*e^5 + 30*A*a^9*b*d^2*x^7*e^5 + 35/6*B*a^10*d^3*x^6*e^4 + 175/3*A*a^9*b*d^3*x^6*e^4 + 7*B*a^10*d^4*x^5*e^3 + 70*A*a^9*b*d^4*x^5*e^3 + 21/4*B*a^10*d^5*x^4*e^2 + 105/2*A*a^9*b*d^5*x^4*e^2 + 7/3*B*a^10*d^6*x^3*e + 70/3*A*a^9*b*d^6*x^3*e + 1/2*B*a^10*d^7*x^2 + 5*A*a^9*b*d^7*x^2 + 1/8*A*a^10*x^8*e^7 + A*a^10*d*x^7*e^6 + 7/2*A*a^10*d^2*x^6*e^5 + 7*A*a^10*d^3*x^5*e^4 + 35/4*A*a^10*d^4*x^4*e^3 + 7*A*a^10*d^5*x^3*e^2 + 7/2*A*a^10*d^6*x^2*e + A*a^10*d^7*x","B",0
1082,1,2319,0,1.315941," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d)^6,x, algorithm=""giac"")","\frac{1}{18} \, B b^{10} x^{18} e^{6} + \frac{6}{17} \, B b^{10} d x^{17} e^{5} + \frac{15}{16} \, B b^{10} d^{2} x^{16} e^{4} + \frac{4}{3} \, B b^{10} d^{3} x^{15} e^{3} + \frac{15}{14} \, B b^{10} d^{4} x^{14} e^{2} + \frac{6}{13} \, B b^{10} d^{5} x^{13} e + \frac{1}{12} \, B b^{10} d^{6} x^{12} + \frac{10}{17} \, B a b^{9} x^{17} e^{6} + \frac{1}{17} \, A b^{10} x^{17} e^{6} + \frac{15}{4} \, B a b^{9} d x^{16} e^{5} + \frac{3}{8} \, A b^{10} d x^{16} e^{5} + 10 \, B a b^{9} d^{2} x^{15} e^{4} + A b^{10} d^{2} x^{15} e^{4} + \frac{100}{7} \, B a b^{9} d^{3} x^{14} e^{3} + \frac{10}{7} \, A b^{10} d^{3} x^{14} e^{3} + \frac{150}{13} \, B a b^{9} d^{4} x^{13} e^{2} + \frac{15}{13} \, A b^{10} d^{4} x^{13} e^{2} + 5 \, B a b^{9} d^{5} x^{12} e + \frac{1}{2} \, A b^{10} d^{5} x^{12} e + \frac{10}{11} \, B a b^{9} d^{6} x^{11} + \frac{1}{11} \, A b^{10} d^{6} x^{11} + \frac{45}{16} \, B a^{2} b^{8} x^{16} e^{6} + \frac{5}{8} \, A a b^{9} x^{16} e^{6} + 18 \, B a^{2} b^{8} d x^{15} e^{5} + 4 \, A a b^{9} d x^{15} e^{5} + \frac{675}{14} \, B a^{2} b^{8} d^{2} x^{14} e^{4} + \frac{75}{7} \, A a b^{9} d^{2} x^{14} e^{4} + \frac{900}{13} \, B a^{2} b^{8} d^{3} x^{13} e^{3} + \frac{200}{13} \, A a b^{9} d^{3} x^{13} e^{3} + \frac{225}{4} \, B a^{2} b^{8} d^{4} x^{12} e^{2} + \frac{25}{2} \, A a b^{9} d^{4} x^{12} e^{2} + \frac{270}{11} \, B a^{2} b^{8} d^{5} x^{11} e + \frac{60}{11} \, A a b^{9} d^{5} x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d^{6} x^{10} + A a b^{9} d^{6} x^{10} + 8 \, B a^{3} b^{7} x^{15} e^{6} + 3 \, A a^{2} b^{8} x^{15} e^{6} + \frac{360}{7} \, B a^{3} b^{7} d x^{14} e^{5} + \frac{135}{7} \, A a^{2} b^{8} d x^{14} e^{5} + \frac{1800}{13} \, B a^{3} b^{7} d^{2} x^{13} e^{4} + \frac{675}{13} \, A a^{2} b^{8} d^{2} x^{13} e^{4} + 200 \, B a^{3} b^{7} d^{3} x^{12} e^{3} + 75 \, A a^{2} b^{8} d^{3} x^{12} e^{3} + \frac{1800}{11} \, B a^{3} b^{7} d^{4} x^{11} e^{2} + \frac{675}{11} \, A a^{2} b^{8} d^{4} x^{11} e^{2} + 72 \, B a^{3} b^{7} d^{5} x^{10} e + 27 \, A a^{2} b^{8} d^{5} x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d^{6} x^{9} + 5 \, A a^{2} b^{8} d^{6} x^{9} + 15 \, B a^{4} b^{6} x^{14} e^{6} + \frac{60}{7} \, A a^{3} b^{7} x^{14} e^{6} + \frac{1260}{13} \, B a^{4} b^{6} d x^{13} e^{5} + \frac{720}{13} \, A a^{3} b^{7} d x^{13} e^{5} + \frac{525}{2} \, B a^{4} b^{6} d^{2} x^{12} e^{4} + 150 \, A a^{3} b^{7} d^{2} x^{12} e^{4} + \frac{4200}{11} \, B a^{4} b^{6} d^{3} x^{11} e^{3} + \frac{2400}{11} \, A a^{3} b^{7} d^{3} x^{11} e^{3} + 315 \, B a^{4} b^{6} d^{4} x^{10} e^{2} + 180 \, A a^{3} b^{7} d^{4} x^{10} e^{2} + 140 \, B a^{4} b^{6} d^{5} x^{9} e + 80 \, A a^{3} b^{7} d^{5} x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d^{6} x^{8} + 15 \, A a^{3} b^{7} d^{6} x^{8} + \frac{252}{13} \, B a^{5} b^{5} x^{13} e^{6} + \frac{210}{13} \, A a^{4} b^{6} x^{13} e^{6} + 126 \, B a^{5} b^{5} d x^{12} e^{5} + 105 \, A a^{4} b^{6} d x^{12} e^{5} + \frac{3780}{11} \, B a^{5} b^{5} d^{2} x^{11} e^{4} + \frac{3150}{11} \, A a^{4} b^{6} d^{2} x^{11} e^{4} + 504 \, B a^{5} b^{5} d^{3} x^{10} e^{3} + 420 \, A a^{4} b^{6} d^{3} x^{10} e^{3} + 420 \, B a^{5} b^{5} d^{4} x^{9} e^{2} + 350 \, A a^{4} b^{6} d^{4} x^{9} e^{2} + 189 \, B a^{5} b^{5} d^{5} x^{8} e + \frac{315}{2} \, A a^{4} b^{6} d^{5} x^{8} e + 36 \, B a^{5} b^{5} d^{6} x^{7} + 30 \, A a^{4} b^{6} d^{6} x^{7} + \frac{35}{2} \, B a^{6} b^{4} x^{12} e^{6} + 21 \, A a^{5} b^{5} x^{12} e^{6} + \frac{1260}{11} \, B a^{6} b^{4} d x^{11} e^{5} + \frac{1512}{11} \, A a^{5} b^{5} d x^{11} e^{5} + 315 \, B a^{6} b^{4} d^{2} x^{10} e^{4} + 378 \, A a^{5} b^{5} d^{2} x^{10} e^{4} + \frac{1400}{3} \, B a^{6} b^{4} d^{3} x^{9} e^{3} + 560 \, A a^{5} b^{5} d^{3} x^{9} e^{3} + \frac{1575}{4} \, B a^{6} b^{4} d^{4} x^{8} e^{2} + \frac{945}{2} \, A a^{5} b^{5} d^{4} x^{8} e^{2} + 180 \, B a^{6} b^{4} d^{5} x^{7} e + 216 \, A a^{5} b^{5} d^{5} x^{7} e + 35 \, B a^{6} b^{4} d^{6} x^{6} + 42 \, A a^{5} b^{5} d^{6} x^{6} + \frac{120}{11} \, B a^{7} b^{3} x^{11} e^{6} + \frac{210}{11} \, A a^{6} b^{4} x^{11} e^{6} + 72 \, B a^{7} b^{3} d x^{10} e^{5} + 126 \, A a^{6} b^{4} d x^{10} e^{5} + 200 \, B a^{7} b^{3} d^{2} x^{9} e^{4} + 350 \, A a^{6} b^{4} d^{2} x^{9} e^{4} + 300 \, B a^{7} b^{3} d^{3} x^{8} e^{3} + 525 \, A a^{6} b^{4} d^{3} x^{8} e^{3} + \frac{1800}{7} \, B a^{7} b^{3} d^{4} x^{7} e^{2} + 450 \, A a^{6} b^{4} d^{4} x^{7} e^{2} + 120 \, B a^{7} b^{3} d^{5} x^{6} e + 210 \, A a^{6} b^{4} d^{5} x^{6} e + 24 \, B a^{7} b^{3} d^{6} x^{5} + 42 \, A a^{6} b^{4} d^{6} x^{5} + \frac{9}{2} \, B a^{8} b^{2} x^{10} e^{6} + 12 \, A a^{7} b^{3} x^{10} e^{6} + 30 \, B a^{8} b^{2} d x^{9} e^{5} + 80 \, A a^{7} b^{3} d x^{9} e^{5} + \frac{675}{8} \, B a^{8} b^{2} d^{2} x^{8} e^{4} + 225 \, A a^{7} b^{3} d^{2} x^{8} e^{4} + \frac{900}{7} \, B a^{8} b^{2} d^{3} x^{7} e^{3} + \frac{2400}{7} \, A a^{7} b^{3} d^{3} x^{7} e^{3} + \frac{225}{2} \, B a^{8} b^{2} d^{4} x^{6} e^{2} + 300 \, A a^{7} b^{3} d^{4} x^{6} e^{2} + 54 \, B a^{8} b^{2} d^{5} x^{5} e + 144 \, A a^{7} b^{3} d^{5} x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d^{6} x^{4} + 30 \, A a^{7} b^{3} d^{6} x^{4} + \frac{10}{9} \, B a^{9} b x^{9} e^{6} + 5 \, A a^{8} b^{2} x^{9} e^{6} + \frac{15}{2} \, B a^{9} b d x^{8} e^{5} + \frac{135}{4} \, A a^{8} b^{2} d x^{8} e^{5} + \frac{150}{7} \, B a^{9} b d^{2} x^{7} e^{4} + \frac{675}{7} \, A a^{8} b^{2} d^{2} x^{7} e^{4} + \frac{100}{3} \, B a^{9} b d^{3} x^{6} e^{3} + 150 \, A a^{8} b^{2} d^{3} x^{6} e^{3} + 30 \, B a^{9} b d^{4} x^{5} e^{2} + 135 \, A a^{8} b^{2} d^{4} x^{5} e^{2} + 15 \, B a^{9} b d^{5} x^{4} e + \frac{135}{2} \, A a^{8} b^{2} d^{5} x^{4} e + \frac{10}{3} \, B a^{9} b d^{6} x^{3} + 15 \, A a^{8} b^{2} d^{6} x^{3} + \frac{1}{8} \, B a^{10} x^{8} e^{6} + \frac{5}{4} \, A a^{9} b x^{8} e^{6} + \frac{6}{7} \, B a^{10} d x^{7} e^{5} + \frac{60}{7} \, A a^{9} b d x^{7} e^{5} + \frac{5}{2} \, B a^{10} d^{2} x^{6} e^{4} + 25 \, A a^{9} b d^{2} x^{6} e^{4} + 4 \, B a^{10} d^{3} x^{5} e^{3} + 40 \, A a^{9} b d^{3} x^{5} e^{3} + \frac{15}{4} \, B a^{10} d^{4} x^{4} e^{2} + \frac{75}{2} \, A a^{9} b d^{4} x^{4} e^{2} + 2 \, B a^{10} d^{5} x^{3} e + 20 \, A a^{9} b d^{5} x^{3} e + \frac{1}{2} \, B a^{10} d^{6} x^{2} + 5 \, A a^{9} b d^{6} x^{2} + \frac{1}{7} \, A a^{10} x^{7} e^{6} + A a^{10} d x^{6} e^{5} + 3 \, A a^{10} d^{2} x^{5} e^{4} + 5 \, A a^{10} d^{3} x^{4} e^{3} + 5 \, A a^{10} d^{4} x^{3} e^{2} + 3 \, A a^{10} d^{5} x^{2} e + A a^{10} d^{6} x"," ",0,"1/18*B*b^10*x^18*e^6 + 6/17*B*b^10*d*x^17*e^5 + 15/16*B*b^10*d^2*x^16*e^4 + 4/3*B*b^10*d^3*x^15*e^3 + 15/14*B*b^10*d^4*x^14*e^2 + 6/13*B*b^10*d^5*x^13*e + 1/12*B*b^10*d^6*x^12 + 10/17*B*a*b^9*x^17*e^6 + 1/17*A*b^10*x^17*e^6 + 15/4*B*a*b^9*d*x^16*e^5 + 3/8*A*b^10*d*x^16*e^5 + 10*B*a*b^9*d^2*x^15*e^4 + A*b^10*d^2*x^15*e^4 + 100/7*B*a*b^9*d^3*x^14*e^3 + 10/7*A*b^10*d^3*x^14*e^3 + 150/13*B*a*b^9*d^4*x^13*e^2 + 15/13*A*b^10*d^4*x^13*e^2 + 5*B*a*b^9*d^5*x^12*e + 1/2*A*b^10*d^5*x^12*e + 10/11*B*a*b^9*d^6*x^11 + 1/11*A*b^10*d^6*x^11 + 45/16*B*a^2*b^8*x^16*e^6 + 5/8*A*a*b^9*x^16*e^6 + 18*B*a^2*b^8*d*x^15*e^5 + 4*A*a*b^9*d*x^15*e^5 + 675/14*B*a^2*b^8*d^2*x^14*e^4 + 75/7*A*a*b^9*d^2*x^14*e^4 + 900/13*B*a^2*b^8*d^3*x^13*e^3 + 200/13*A*a*b^9*d^3*x^13*e^3 + 225/4*B*a^2*b^8*d^4*x^12*e^2 + 25/2*A*a*b^9*d^4*x^12*e^2 + 270/11*B*a^2*b^8*d^5*x^11*e + 60/11*A*a*b^9*d^5*x^11*e + 9/2*B*a^2*b^8*d^6*x^10 + A*a*b^9*d^6*x^10 + 8*B*a^3*b^7*x^15*e^6 + 3*A*a^2*b^8*x^15*e^6 + 360/7*B*a^3*b^7*d*x^14*e^5 + 135/7*A*a^2*b^8*d*x^14*e^5 + 1800/13*B*a^3*b^7*d^2*x^13*e^4 + 675/13*A*a^2*b^8*d^2*x^13*e^4 + 200*B*a^3*b^7*d^3*x^12*e^3 + 75*A*a^2*b^8*d^3*x^12*e^3 + 1800/11*B*a^3*b^7*d^4*x^11*e^2 + 675/11*A*a^2*b^8*d^4*x^11*e^2 + 72*B*a^3*b^7*d^5*x^10*e + 27*A*a^2*b^8*d^5*x^10*e + 40/3*B*a^3*b^7*d^6*x^9 + 5*A*a^2*b^8*d^6*x^9 + 15*B*a^4*b^6*x^14*e^6 + 60/7*A*a^3*b^7*x^14*e^6 + 1260/13*B*a^4*b^6*d*x^13*e^5 + 720/13*A*a^3*b^7*d*x^13*e^5 + 525/2*B*a^4*b^6*d^2*x^12*e^4 + 150*A*a^3*b^7*d^2*x^12*e^4 + 4200/11*B*a^4*b^6*d^3*x^11*e^3 + 2400/11*A*a^3*b^7*d^3*x^11*e^3 + 315*B*a^4*b^6*d^4*x^10*e^2 + 180*A*a^3*b^7*d^4*x^10*e^2 + 140*B*a^4*b^6*d^5*x^9*e + 80*A*a^3*b^7*d^5*x^9*e + 105/4*B*a^4*b^6*d^6*x^8 + 15*A*a^3*b^7*d^6*x^8 + 252/13*B*a^5*b^5*x^13*e^6 + 210/13*A*a^4*b^6*x^13*e^6 + 126*B*a^5*b^5*d*x^12*e^5 + 105*A*a^4*b^6*d*x^12*e^5 + 3780/11*B*a^5*b^5*d^2*x^11*e^4 + 3150/11*A*a^4*b^6*d^2*x^11*e^4 + 504*B*a^5*b^5*d^3*x^10*e^3 + 420*A*a^4*b^6*d^3*x^10*e^3 + 420*B*a^5*b^5*d^4*x^9*e^2 + 350*A*a^4*b^6*d^4*x^9*e^2 + 189*B*a^5*b^5*d^5*x^8*e + 315/2*A*a^4*b^6*d^5*x^8*e + 36*B*a^5*b^5*d^6*x^7 + 30*A*a^4*b^6*d^6*x^7 + 35/2*B*a^6*b^4*x^12*e^6 + 21*A*a^5*b^5*x^12*e^6 + 1260/11*B*a^6*b^4*d*x^11*e^5 + 1512/11*A*a^5*b^5*d*x^11*e^5 + 315*B*a^6*b^4*d^2*x^10*e^4 + 378*A*a^5*b^5*d^2*x^10*e^4 + 1400/3*B*a^6*b^4*d^3*x^9*e^3 + 560*A*a^5*b^5*d^3*x^9*e^3 + 1575/4*B*a^6*b^4*d^4*x^8*e^2 + 945/2*A*a^5*b^5*d^4*x^8*e^2 + 180*B*a^6*b^4*d^5*x^7*e + 216*A*a^5*b^5*d^5*x^7*e + 35*B*a^6*b^4*d^6*x^6 + 42*A*a^5*b^5*d^6*x^6 + 120/11*B*a^7*b^3*x^11*e^6 + 210/11*A*a^6*b^4*x^11*e^6 + 72*B*a^7*b^3*d*x^10*e^5 + 126*A*a^6*b^4*d*x^10*e^5 + 200*B*a^7*b^3*d^2*x^9*e^4 + 350*A*a^6*b^4*d^2*x^9*e^4 + 300*B*a^7*b^3*d^3*x^8*e^3 + 525*A*a^6*b^4*d^3*x^8*e^3 + 1800/7*B*a^7*b^3*d^4*x^7*e^2 + 450*A*a^6*b^4*d^4*x^7*e^2 + 120*B*a^7*b^3*d^5*x^6*e + 210*A*a^6*b^4*d^5*x^6*e + 24*B*a^7*b^3*d^6*x^5 + 42*A*a^6*b^4*d^6*x^5 + 9/2*B*a^8*b^2*x^10*e^6 + 12*A*a^7*b^3*x^10*e^6 + 30*B*a^8*b^2*d*x^9*e^5 + 80*A*a^7*b^3*d*x^9*e^5 + 675/8*B*a^8*b^2*d^2*x^8*e^4 + 225*A*a^7*b^3*d^2*x^8*e^4 + 900/7*B*a^8*b^2*d^3*x^7*e^3 + 2400/7*A*a^7*b^3*d^3*x^7*e^3 + 225/2*B*a^8*b^2*d^4*x^6*e^2 + 300*A*a^7*b^3*d^4*x^6*e^2 + 54*B*a^8*b^2*d^5*x^5*e + 144*A*a^7*b^3*d^5*x^5*e + 45/4*B*a^8*b^2*d^6*x^4 + 30*A*a^7*b^3*d^6*x^4 + 10/9*B*a^9*b*x^9*e^6 + 5*A*a^8*b^2*x^9*e^6 + 15/2*B*a^9*b*d*x^8*e^5 + 135/4*A*a^8*b^2*d*x^8*e^5 + 150/7*B*a^9*b*d^2*x^7*e^4 + 675/7*A*a^8*b^2*d^2*x^7*e^4 + 100/3*B*a^9*b*d^3*x^6*e^3 + 150*A*a^8*b^2*d^3*x^6*e^3 + 30*B*a^9*b*d^4*x^5*e^2 + 135*A*a^8*b^2*d^4*x^5*e^2 + 15*B*a^9*b*d^5*x^4*e + 135/2*A*a^8*b^2*d^5*x^4*e + 10/3*B*a^9*b*d^6*x^3 + 15*A*a^8*b^2*d^6*x^3 + 1/8*B*a^10*x^8*e^6 + 5/4*A*a^9*b*x^8*e^6 + 6/7*B*a^10*d*x^7*e^5 + 60/7*A*a^9*b*d*x^7*e^5 + 5/2*B*a^10*d^2*x^6*e^4 + 25*A*a^9*b*d^2*x^6*e^4 + 4*B*a^10*d^3*x^5*e^3 + 40*A*a^9*b*d^3*x^5*e^3 + 15/4*B*a^10*d^4*x^4*e^2 + 75/2*A*a^9*b*d^4*x^4*e^2 + 2*B*a^10*d^5*x^3*e + 20*A*a^9*b*d^5*x^3*e + 1/2*B*a^10*d^6*x^2 + 5*A*a^9*b*d^6*x^2 + 1/7*A*a^10*x^7*e^6 + A*a^10*d*x^6*e^5 + 3*A*a^10*d^2*x^5*e^4 + 5*A*a^10*d^3*x^4*e^3 + 5*A*a^10*d^4*x^3*e^2 + 3*A*a^10*d^5*x^2*e + A*a^10*d^6*x","B",0
1083,1,1966,0,1.270833," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d)^5,x, algorithm=""giac"")","\frac{1}{17} \, B b^{10} x^{17} e^{5} + \frac{5}{16} \, B b^{10} d x^{16} e^{4} + \frac{2}{3} \, B b^{10} d^{2} x^{15} e^{3} + \frac{5}{7} \, B b^{10} d^{3} x^{14} e^{2} + \frac{5}{13} \, B b^{10} d^{4} x^{13} e + \frac{1}{12} \, B b^{10} d^{5} x^{12} + \frac{5}{8} \, B a b^{9} x^{16} e^{5} + \frac{1}{16} \, A b^{10} x^{16} e^{5} + \frac{10}{3} \, B a b^{9} d x^{15} e^{4} + \frac{1}{3} \, A b^{10} d x^{15} e^{4} + \frac{50}{7} \, B a b^{9} d^{2} x^{14} e^{3} + \frac{5}{7} \, A b^{10} d^{2} x^{14} e^{3} + \frac{100}{13} \, B a b^{9} d^{3} x^{13} e^{2} + \frac{10}{13} \, A b^{10} d^{3} x^{13} e^{2} + \frac{25}{6} \, B a b^{9} d^{4} x^{12} e + \frac{5}{12} \, A b^{10} d^{4} x^{12} e + \frac{10}{11} \, B a b^{9} d^{5} x^{11} + \frac{1}{11} \, A b^{10} d^{5} x^{11} + 3 \, B a^{2} b^{8} x^{15} e^{5} + \frac{2}{3} \, A a b^{9} x^{15} e^{5} + \frac{225}{14} \, B a^{2} b^{8} d x^{14} e^{4} + \frac{25}{7} \, A a b^{9} d x^{14} e^{4} + \frac{450}{13} \, B a^{2} b^{8} d^{2} x^{13} e^{3} + \frac{100}{13} \, A a b^{9} d^{2} x^{13} e^{3} + \frac{75}{2} \, B a^{2} b^{8} d^{3} x^{12} e^{2} + \frac{25}{3} \, A a b^{9} d^{3} x^{12} e^{2} + \frac{225}{11} \, B a^{2} b^{8} d^{4} x^{11} e + \frac{50}{11} \, A a b^{9} d^{4} x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d^{5} x^{10} + A a b^{9} d^{5} x^{10} + \frac{60}{7} \, B a^{3} b^{7} x^{14} e^{5} + \frac{45}{14} \, A a^{2} b^{8} x^{14} e^{5} + \frac{600}{13} \, B a^{3} b^{7} d x^{13} e^{4} + \frac{225}{13} \, A a^{2} b^{8} d x^{13} e^{4} + 100 \, B a^{3} b^{7} d^{2} x^{12} e^{3} + \frac{75}{2} \, A a^{2} b^{8} d^{2} x^{12} e^{3} + \frac{1200}{11} \, B a^{3} b^{7} d^{3} x^{11} e^{2} + \frac{450}{11} \, A a^{2} b^{8} d^{3} x^{11} e^{2} + 60 \, B a^{3} b^{7} d^{4} x^{10} e + \frac{45}{2} \, A a^{2} b^{8} d^{4} x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d^{5} x^{9} + 5 \, A a^{2} b^{8} d^{5} x^{9} + \frac{210}{13} \, B a^{4} b^{6} x^{13} e^{5} + \frac{120}{13} \, A a^{3} b^{7} x^{13} e^{5} + \frac{175}{2} \, B a^{4} b^{6} d x^{12} e^{4} + 50 \, A a^{3} b^{7} d x^{12} e^{4} + \frac{2100}{11} \, B a^{4} b^{6} d^{2} x^{11} e^{3} + \frac{1200}{11} \, A a^{3} b^{7} d^{2} x^{11} e^{3} + 210 \, B a^{4} b^{6} d^{3} x^{10} e^{2} + 120 \, A a^{3} b^{7} d^{3} x^{10} e^{2} + \frac{350}{3} \, B a^{4} b^{6} d^{4} x^{9} e + \frac{200}{3} \, A a^{3} b^{7} d^{4} x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d^{5} x^{8} + 15 \, A a^{3} b^{7} d^{5} x^{8} + 21 \, B a^{5} b^{5} x^{12} e^{5} + \frac{35}{2} \, A a^{4} b^{6} x^{12} e^{5} + \frac{1260}{11} \, B a^{5} b^{5} d x^{11} e^{4} + \frac{1050}{11} \, A a^{4} b^{6} d x^{11} e^{4} + 252 \, B a^{5} b^{5} d^{2} x^{10} e^{3} + 210 \, A a^{4} b^{6} d^{2} x^{10} e^{3} + 280 \, B a^{5} b^{5} d^{3} x^{9} e^{2} + \frac{700}{3} \, A a^{4} b^{6} d^{3} x^{9} e^{2} + \frac{315}{2} \, B a^{5} b^{5} d^{4} x^{8} e + \frac{525}{4} \, A a^{4} b^{6} d^{4} x^{8} e + 36 \, B a^{5} b^{5} d^{5} x^{7} + 30 \, A a^{4} b^{6} d^{5} x^{7} + \frac{210}{11} \, B a^{6} b^{4} x^{11} e^{5} + \frac{252}{11} \, A a^{5} b^{5} x^{11} e^{5} + 105 \, B a^{6} b^{4} d x^{10} e^{4} + 126 \, A a^{5} b^{5} d x^{10} e^{4} + \frac{700}{3} \, B a^{6} b^{4} d^{2} x^{9} e^{3} + 280 \, A a^{5} b^{5} d^{2} x^{9} e^{3} + \frac{525}{2} \, B a^{6} b^{4} d^{3} x^{8} e^{2} + 315 \, A a^{5} b^{5} d^{3} x^{8} e^{2} + 150 \, B a^{6} b^{4} d^{4} x^{7} e + 180 \, A a^{5} b^{5} d^{4} x^{7} e + 35 \, B a^{6} b^{4} d^{5} x^{6} + 42 \, A a^{5} b^{5} d^{5} x^{6} + 12 \, B a^{7} b^{3} x^{10} e^{5} + 21 \, A a^{6} b^{4} x^{10} e^{5} + \frac{200}{3} \, B a^{7} b^{3} d x^{9} e^{4} + \frac{350}{3} \, A a^{6} b^{4} d x^{9} e^{4} + 150 \, B a^{7} b^{3} d^{2} x^{8} e^{3} + \frac{525}{2} \, A a^{6} b^{4} d^{2} x^{8} e^{3} + \frac{1200}{7} \, B a^{7} b^{3} d^{3} x^{7} e^{2} + 300 \, A a^{6} b^{4} d^{3} x^{7} e^{2} + 100 \, B a^{7} b^{3} d^{4} x^{6} e + 175 \, A a^{6} b^{4} d^{4} x^{6} e + 24 \, B a^{7} b^{3} d^{5} x^{5} + 42 \, A a^{6} b^{4} d^{5} x^{5} + 5 \, B a^{8} b^{2} x^{9} e^{5} + \frac{40}{3} \, A a^{7} b^{3} x^{9} e^{5} + \frac{225}{8} \, B a^{8} b^{2} d x^{8} e^{4} + 75 \, A a^{7} b^{3} d x^{8} e^{4} + \frac{450}{7} \, B a^{8} b^{2} d^{2} x^{7} e^{3} + \frac{1200}{7} \, A a^{7} b^{3} d^{2} x^{7} e^{3} + 75 \, B a^{8} b^{2} d^{3} x^{6} e^{2} + 200 \, A a^{7} b^{3} d^{3} x^{6} e^{2} + 45 \, B a^{8} b^{2} d^{4} x^{5} e + 120 \, A a^{7} b^{3} d^{4} x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d^{5} x^{4} + 30 \, A a^{7} b^{3} d^{5} x^{4} + \frac{5}{4} \, B a^{9} b x^{8} e^{5} + \frac{45}{8} \, A a^{8} b^{2} x^{8} e^{5} + \frac{50}{7} \, B a^{9} b d x^{7} e^{4} + \frac{225}{7} \, A a^{8} b^{2} d x^{7} e^{4} + \frac{50}{3} \, B a^{9} b d^{2} x^{6} e^{3} + 75 \, A a^{8} b^{2} d^{2} x^{6} e^{3} + 20 \, B a^{9} b d^{3} x^{5} e^{2} + 90 \, A a^{8} b^{2} d^{3} x^{5} e^{2} + \frac{25}{2} \, B a^{9} b d^{4} x^{4} e + \frac{225}{4} \, A a^{8} b^{2} d^{4} x^{4} e + \frac{10}{3} \, B a^{9} b d^{5} x^{3} + 15 \, A a^{8} b^{2} d^{5} x^{3} + \frac{1}{7} \, B a^{10} x^{7} e^{5} + \frac{10}{7} \, A a^{9} b x^{7} e^{5} + \frac{5}{6} \, B a^{10} d x^{6} e^{4} + \frac{25}{3} \, A a^{9} b d x^{6} e^{4} + 2 \, B a^{10} d^{2} x^{5} e^{3} + 20 \, A a^{9} b d^{2} x^{5} e^{3} + \frac{5}{2} \, B a^{10} d^{3} x^{4} e^{2} + 25 \, A a^{9} b d^{3} x^{4} e^{2} + \frac{5}{3} \, B a^{10} d^{4} x^{3} e + \frac{50}{3} \, A a^{9} b d^{4} x^{3} e + \frac{1}{2} \, B a^{10} d^{5} x^{2} + 5 \, A a^{9} b d^{5} x^{2} + \frac{1}{6} \, A a^{10} x^{6} e^{5} + A a^{10} d x^{5} e^{4} + \frac{5}{2} \, A a^{10} d^{2} x^{4} e^{3} + \frac{10}{3} \, A a^{10} d^{3} x^{3} e^{2} + \frac{5}{2} \, A a^{10} d^{4} x^{2} e + A a^{10} d^{5} x"," ",0,"1/17*B*b^10*x^17*e^5 + 5/16*B*b^10*d*x^16*e^4 + 2/3*B*b^10*d^2*x^15*e^3 + 5/7*B*b^10*d^3*x^14*e^2 + 5/13*B*b^10*d^4*x^13*e + 1/12*B*b^10*d^5*x^12 + 5/8*B*a*b^9*x^16*e^5 + 1/16*A*b^10*x^16*e^5 + 10/3*B*a*b^9*d*x^15*e^4 + 1/3*A*b^10*d*x^15*e^4 + 50/7*B*a*b^9*d^2*x^14*e^3 + 5/7*A*b^10*d^2*x^14*e^3 + 100/13*B*a*b^9*d^3*x^13*e^2 + 10/13*A*b^10*d^3*x^13*e^2 + 25/6*B*a*b^9*d^4*x^12*e + 5/12*A*b^10*d^4*x^12*e + 10/11*B*a*b^9*d^5*x^11 + 1/11*A*b^10*d^5*x^11 + 3*B*a^2*b^8*x^15*e^5 + 2/3*A*a*b^9*x^15*e^5 + 225/14*B*a^2*b^8*d*x^14*e^4 + 25/7*A*a*b^9*d*x^14*e^4 + 450/13*B*a^2*b^8*d^2*x^13*e^3 + 100/13*A*a*b^9*d^2*x^13*e^3 + 75/2*B*a^2*b^8*d^3*x^12*e^2 + 25/3*A*a*b^9*d^3*x^12*e^2 + 225/11*B*a^2*b^8*d^4*x^11*e + 50/11*A*a*b^9*d^4*x^11*e + 9/2*B*a^2*b^8*d^5*x^10 + A*a*b^9*d^5*x^10 + 60/7*B*a^3*b^7*x^14*e^5 + 45/14*A*a^2*b^8*x^14*e^5 + 600/13*B*a^3*b^7*d*x^13*e^4 + 225/13*A*a^2*b^8*d*x^13*e^4 + 100*B*a^3*b^7*d^2*x^12*e^3 + 75/2*A*a^2*b^8*d^2*x^12*e^3 + 1200/11*B*a^3*b^7*d^3*x^11*e^2 + 450/11*A*a^2*b^8*d^3*x^11*e^2 + 60*B*a^3*b^7*d^4*x^10*e + 45/2*A*a^2*b^8*d^4*x^10*e + 40/3*B*a^3*b^7*d^5*x^9 + 5*A*a^2*b^8*d^5*x^9 + 210/13*B*a^4*b^6*x^13*e^5 + 120/13*A*a^3*b^7*x^13*e^5 + 175/2*B*a^4*b^6*d*x^12*e^4 + 50*A*a^3*b^7*d*x^12*e^4 + 2100/11*B*a^4*b^6*d^2*x^11*e^3 + 1200/11*A*a^3*b^7*d^2*x^11*e^3 + 210*B*a^4*b^6*d^3*x^10*e^2 + 120*A*a^3*b^7*d^3*x^10*e^2 + 350/3*B*a^4*b^6*d^4*x^9*e + 200/3*A*a^3*b^7*d^4*x^9*e + 105/4*B*a^4*b^6*d^5*x^8 + 15*A*a^3*b^7*d^5*x^8 + 21*B*a^5*b^5*x^12*e^5 + 35/2*A*a^4*b^6*x^12*e^5 + 1260/11*B*a^5*b^5*d*x^11*e^4 + 1050/11*A*a^4*b^6*d*x^11*e^4 + 252*B*a^5*b^5*d^2*x^10*e^3 + 210*A*a^4*b^6*d^2*x^10*e^3 + 280*B*a^5*b^5*d^3*x^9*e^2 + 700/3*A*a^4*b^6*d^3*x^9*e^2 + 315/2*B*a^5*b^5*d^4*x^8*e + 525/4*A*a^4*b^6*d^4*x^8*e + 36*B*a^5*b^5*d^5*x^7 + 30*A*a^4*b^6*d^5*x^7 + 210/11*B*a^6*b^4*x^11*e^5 + 252/11*A*a^5*b^5*x^11*e^5 + 105*B*a^6*b^4*d*x^10*e^4 + 126*A*a^5*b^5*d*x^10*e^4 + 700/3*B*a^6*b^4*d^2*x^9*e^3 + 280*A*a^5*b^5*d^2*x^9*e^3 + 525/2*B*a^6*b^4*d^3*x^8*e^2 + 315*A*a^5*b^5*d^3*x^8*e^2 + 150*B*a^6*b^4*d^4*x^7*e + 180*A*a^5*b^5*d^4*x^7*e + 35*B*a^6*b^4*d^5*x^6 + 42*A*a^5*b^5*d^5*x^6 + 12*B*a^7*b^3*x^10*e^5 + 21*A*a^6*b^4*x^10*e^5 + 200/3*B*a^7*b^3*d*x^9*e^4 + 350/3*A*a^6*b^4*d*x^9*e^4 + 150*B*a^7*b^3*d^2*x^8*e^3 + 525/2*A*a^6*b^4*d^2*x^8*e^3 + 1200/7*B*a^7*b^3*d^3*x^7*e^2 + 300*A*a^6*b^4*d^3*x^7*e^2 + 100*B*a^7*b^3*d^4*x^6*e + 175*A*a^6*b^4*d^4*x^6*e + 24*B*a^7*b^3*d^5*x^5 + 42*A*a^6*b^4*d^5*x^5 + 5*B*a^8*b^2*x^9*e^5 + 40/3*A*a^7*b^3*x^9*e^5 + 225/8*B*a^8*b^2*d*x^8*e^4 + 75*A*a^7*b^3*d*x^8*e^4 + 450/7*B*a^8*b^2*d^2*x^7*e^3 + 1200/7*A*a^7*b^3*d^2*x^7*e^3 + 75*B*a^8*b^2*d^3*x^6*e^2 + 200*A*a^7*b^3*d^3*x^6*e^2 + 45*B*a^8*b^2*d^4*x^5*e + 120*A*a^7*b^3*d^4*x^5*e + 45/4*B*a^8*b^2*d^5*x^4 + 30*A*a^7*b^3*d^5*x^4 + 5/4*B*a^9*b*x^8*e^5 + 45/8*A*a^8*b^2*x^8*e^5 + 50/7*B*a^9*b*d*x^7*e^4 + 225/7*A*a^8*b^2*d*x^7*e^4 + 50/3*B*a^9*b*d^2*x^6*e^3 + 75*A*a^8*b^2*d^2*x^6*e^3 + 20*B*a^9*b*d^3*x^5*e^2 + 90*A*a^8*b^2*d^3*x^5*e^2 + 25/2*B*a^9*b*d^4*x^4*e + 225/4*A*a^8*b^2*d^4*x^4*e + 10/3*B*a^9*b*d^5*x^3 + 15*A*a^8*b^2*d^5*x^3 + 1/7*B*a^10*x^7*e^5 + 10/7*A*a^9*b*x^7*e^5 + 5/6*B*a^10*d*x^6*e^4 + 25/3*A*a^9*b*d*x^6*e^4 + 2*B*a^10*d^2*x^5*e^3 + 20*A*a^9*b*d^2*x^5*e^3 + 5/2*B*a^10*d^3*x^4*e^2 + 25*A*a^9*b*d^3*x^4*e^2 + 5/3*B*a^10*d^4*x^3*e + 50/3*A*a^9*b*d^4*x^3*e + 1/2*B*a^10*d^5*x^2 + 5*A*a^9*b*d^5*x^2 + 1/6*A*a^10*x^6*e^5 + A*a^10*d*x^5*e^4 + 5/2*A*a^10*d^2*x^4*e^3 + 10/3*A*a^10*d^3*x^3*e^2 + 5/2*A*a^10*d^4*x^2*e + A*a^10*d^5*x","B",0
1084,1,1612,0,1.226119," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d)^4,x, algorithm=""giac"")","\frac{1}{16} \, B b^{10} x^{16} e^{4} + \frac{4}{15} \, B b^{10} d x^{15} e^{3} + \frac{3}{7} \, B b^{10} d^{2} x^{14} e^{2} + \frac{4}{13} \, B b^{10} d^{3} x^{13} e + \frac{1}{12} \, B b^{10} d^{4} x^{12} + \frac{2}{3} \, B a b^{9} x^{15} e^{4} + \frac{1}{15} \, A b^{10} x^{15} e^{4} + \frac{20}{7} \, B a b^{9} d x^{14} e^{3} + \frac{2}{7} \, A b^{10} d x^{14} e^{3} + \frac{60}{13} \, B a b^{9} d^{2} x^{13} e^{2} + \frac{6}{13} \, A b^{10} d^{2} x^{13} e^{2} + \frac{10}{3} \, B a b^{9} d^{3} x^{12} e + \frac{1}{3} \, A b^{10} d^{3} x^{12} e + \frac{10}{11} \, B a b^{9} d^{4} x^{11} + \frac{1}{11} \, A b^{10} d^{4} x^{11} + \frac{45}{14} \, B a^{2} b^{8} x^{14} e^{4} + \frac{5}{7} \, A a b^{9} x^{14} e^{4} + \frac{180}{13} \, B a^{2} b^{8} d x^{13} e^{3} + \frac{40}{13} \, A a b^{9} d x^{13} e^{3} + \frac{45}{2} \, B a^{2} b^{8} d^{2} x^{12} e^{2} + 5 \, A a b^{9} d^{2} x^{12} e^{2} + \frac{180}{11} \, B a^{2} b^{8} d^{3} x^{11} e + \frac{40}{11} \, A a b^{9} d^{3} x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d^{4} x^{10} + A a b^{9} d^{4} x^{10} + \frac{120}{13} \, B a^{3} b^{7} x^{13} e^{4} + \frac{45}{13} \, A a^{2} b^{8} x^{13} e^{4} + 40 \, B a^{3} b^{7} d x^{12} e^{3} + 15 \, A a^{2} b^{8} d x^{12} e^{3} + \frac{720}{11} \, B a^{3} b^{7} d^{2} x^{11} e^{2} + \frac{270}{11} \, A a^{2} b^{8} d^{2} x^{11} e^{2} + 48 \, B a^{3} b^{7} d^{3} x^{10} e + 18 \, A a^{2} b^{8} d^{3} x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d^{4} x^{9} + 5 \, A a^{2} b^{8} d^{4} x^{9} + \frac{35}{2} \, B a^{4} b^{6} x^{12} e^{4} + 10 \, A a^{3} b^{7} x^{12} e^{4} + \frac{840}{11} \, B a^{4} b^{6} d x^{11} e^{3} + \frac{480}{11} \, A a^{3} b^{7} d x^{11} e^{3} + 126 \, B a^{4} b^{6} d^{2} x^{10} e^{2} + 72 \, A a^{3} b^{7} d^{2} x^{10} e^{2} + \frac{280}{3} \, B a^{4} b^{6} d^{3} x^{9} e + \frac{160}{3} \, A a^{3} b^{7} d^{3} x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d^{4} x^{8} + 15 \, A a^{3} b^{7} d^{4} x^{8} + \frac{252}{11} \, B a^{5} b^{5} x^{11} e^{4} + \frac{210}{11} \, A a^{4} b^{6} x^{11} e^{4} + \frac{504}{5} \, B a^{5} b^{5} d x^{10} e^{3} + 84 \, A a^{4} b^{6} d x^{10} e^{3} + 168 \, B a^{5} b^{5} d^{2} x^{9} e^{2} + 140 \, A a^{4} b^{6} d^{2} x^{9} e^{2} + 126 \, B a^{5} b^{5} d^{3} x^{8} e + 105 \, A a^{4} b^{6} d^{3} x^{8} e + 36 \, B a^{5} b^{5} d^{4} x^{7} + 30 \, A a^{4} b^{6} d^{4} x^{7} + 21 \, B a^{6} b^{4} x^{10} e^{4} + \frac{126}{5} \, A a^{5} b^{5} x^{10} e^{4} + \frac{280}{3} \, B a^{6} b^{4} d x^{9} e^{3} + 112 \, A a^{5} b^{5} d x^{9} e^{3} + \frac{315}{2} \, B a^{6} b^{4} d^{2} x^{8} e^{2} + 189 \, A a^{5} b^{5} d^{2} x^{8} e^{2} + 120 \, B a^{6} b^{4} d^{3} x^{7} e + 144 \, A a^{5} b^{5} d^{3} x^{7} e + 35 \, B a^{6} b^{4} d^{4} x^{6} + 42 \, A a^{5} b^{5} d^{4} x^{6} + \frac{40}{3} \, B a^{7} b^{3} x^{9} e^{4} + \frac{70}{3} \, A a^{6} b^{4} x^{9} e^{4} + 60 \, B a^{7} b^{3} d x^{8} e^{3} + 105 \, A a^{6} b^{4} d x^{8} e^{3} + \frac{720}{7} \, B a^{7} b^{3} d^{2} x^{7} e^{2} + 180 \, A a^{6} b^{4} d^{2} x^{7} e^{2} + 80 \, B a^{7} b^{3} d^{3} x^{6} e + 140 \, A a^{6} b^{4} d^{3} x^{6} e + 24 \, B a^{7} b^{3} d^{4} x^{5} + 42 \, A a^{6} b^{4} d^{4} x^{5} + \frac{45}{8} \, B a^{8} b^{2} x^{8} e^{4} + 15 \, A a^{7} b^{3} x^{8} e^{4} + \frac{180}{7} \, B a^{8} b^{2} d x^{7} e^{3} + \frac{480}{7} \, A a^{7} b^{3} d x^{7} e^{3} + 45 \, B a^{8} b^{2} d^{2} x^{6} e^{2} + 120 \, A a^{7} b^{3} d^{2} x^{6} e^{2} + 36 \, B a^{8} b^{2} d^{3} x^{5} e + 96 \, A a^{7} b^{3} d^{3} x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d^{4} x^{4} + 30 \, A a^{7} b^{3} d^{4} x^{4} + \frac{10}{7} \, B a^{9} b x^{7} e^{4} + \frac{45}{7} \, A a^{8} b^{2} x^{7} e^{4} + \frac{20}{3} \, B a^{9} b d x^{6} e^{3} + 30 \, A a^{8} b^{2} d x^{6} e^{3} + 12 \, B a^{9} b d^{2} x^{5} e^{2} + 54 \, A a^{8} b^{2} d^{2} x^{5} e^{2} + 10 \, B a^{9} b d^{3} x^{4} e + 45 \, A a^{8} b^{2} d^{3} x^{4} e + \frac{10}{3} \, B a^{9} b d^{4} x^{3} + 15 \, A a^{8} b^{2} d^{4} x^{3} + \frac{1}{6} \, B a^{10} x^{6} e^{4} + \frac{5}{3} \, A a^{9} b x^{6} e^{4} + \frac{4}{5} \, B a^{10} d x^{5} e^{3} + 8 \, A a^{9} b d x^{5} e^{3} + \frac{3}{2} \, B a^{10} d^{2} x^{4} e^{2} + 15 \, A a^{9} b d^{2} x^{4} e^{2} + \frac{4}{3} \, B a^{10} d^{3} x^{3} e + \frac{40}{3} \, A a^{9} b d^{3} x^{3} e + \frac{1}{2} \, B a^{10} d^{4} x^{2} + 5 \, A a^{9} b d^{4} x^{2} + \frac{1}{5} \, A a^{10} x^{5} e^{4} + A a^{10} d x^{4} e^{3} + 2 \, A a^{10} d^{2} x^{3} e^{2} + 2 \, A a^{10} d^{3} x^{2} e + A a^{10} d^{4} x"," ",0,"1/16*B*b^10*x^16*e^4 + 4/15*B*b^10*d*x^15*e^3 + 3/7*B*b^10*d^2*x^14*e^2 + 4/13*B*b^10*d^3*x^13*e + 1/12*B*b^10*d^4*x^12 + 2/3*B*a*b^9*x^15*e^4 + 1/15*A*b^10*x^15*e^4 + 20/7*B*a*b^9*d*x^14*e^3 + 2/7*A*b^10*d*x^14*e^3 + 60/13*B*a*b^9*d^2*x^13*e^2 + 6/13*A*b^10*d^2*x^13*e^2 + 10/3*B*a*b^9*d^3*x^12*e + 1/3*A*b^10*d^3*x^12*e + 10/11*B*a*b^9*d^4*x^11 + 1/11*A*b^10*d^4*x^11 + 45/14*B*a^2*b^8*x^14*e^4 + 5/7*A*a*b^9*x^14*e^4 + 180/13*B*a^2*b^8*d*x^13*e^3 + 40/13*A*a*b^9*d*x^13*e^3 + 45/2*B*a^2*b^8*d^2*x^12*e^2 + 5*A*a*b^9*d^2*x^12*e^2 + 180/11*B*a^2*b^8*d^3*x^11*e + 40/11*A*a*b^9*d^3*x^11*e + 9/2*B*a^2*b^8*d^4*x^10 + A*a*b^9*d^4*x^10 + 120/13*B*a^3*b^7*x^13*e^4 + 45/13*A*a^2*b^8*x^13*e^4 + 40*B*a^3*b^7*d*x^12*e^3 + 15*A*a^2*b^8*d*x^12*e^3 + 720/11*B*a^3*b^7*d^2*x^11*e^2 + 270/11*A*a^2*b^8*d^2*x^11*e^2 + 48*B*a^3*b^7*d^3*x^10*e + 18*A*a^2*b^8*d^3*x^10*e + 40/3*B*a^3*b^7*d^4*x^9 + 5*A*a^2*b^8*d^4*x^9 + 35/2*B*a^4*b^6*x^12*e^4 + 10*A*a^3*b^7*x^12*e^4 + 840/11*B*a^4*b^6*d*x^11*e^3 + 480/11*A*a^3*b^7*d*x^11*e^3 + 126*B*a^4*b^6*d^2*x^10*e^2 + 72*A*a^3*b^7*d^2*x^10*e^2 + 280/3*B*a^4*b^6*d^3*x^9*e + 160/3*A*a^3*b^7*d^3*x^9*e + 105/4*B*a^4*b^6*d^4*x^8 + 15*A*a^3*b^7*d^4*x^8 + 252/11*B*a^5*b^5*x^11*e^4 + 210/11*A*a^4*b^6*x^11*e^4 + 504/5*B*a^5*b^5*d*x^10*e^3 + 84*A*a^4*b^6*d*x^10*e^3 + 168*B*a^5*b^5*d^2*x^9*e^2 + 140*A*a^4*b^6*d^2*x^9*e^2 + 126*B*a^5*b^5*d^3*x^8*e + 105*A*a^4*b^6*d^3*x^8*e + 36*B*a^5*b^5*d^4*x^7 + 30*A*a^4*b^6*d^4*x^7 + 21*B*a^6*b^4*x^10*e^4 + 126/5*A*a^5*b^5*x^10*e^4 + 280/3*B*a^6*b^4*d*x^9*e^3 + 112*A*a^5*b^5*d*x^9*e^3 + 315/2*B*a^6*b^4*d^2*x^8*e^2 + 189*A*a^5*b^5*d^2*x^8*e^2 + 120*B*a^6*b^4*d^3*x^7*e + 144*A*a^5*b^5*d^3*x^7*e + 35*B*a^6*b^4*d^4*x^6 + 42*A*a^5*b^5*d^4*x^6 + 40/3*B*a^7*b^3*x^9*e^4 + 70/3*A*a^6*b^4*x^9*e^4 + 60*B*a^7*b^3*d*x^8*e^3 + 105*A*a^6*b^4*d*x^8*e^3 + 720/7*B*a^7*b^3*d^2*x^7*e^2 + 180*A*a^6*b^4*d^2*x^7*e^2 + 80*B*a^7*b^3*d^3*x^6*e + 140*A*a^6*b^4*d^3*x^6*e + 24*B*a^7*b^3*d^4*x^5 + 42*A*a^6*b^4*d^4*x^5 + 45/8*B*a^8*b^2*x^8*e^4 + 15*A*a^7*b^3*x^8*e^4 + 180/7*B*a^8*b^2*d*x^7*e^3 + 480/7*A*a^7*b^3*d*x^7*e^3 + 45*B*a^8*b^2*d^2*x^6*e^2 + 120*A*a^7*b^3*d^2*x^6*e^2 + 36*B*a^8*b^2*d^3*x^5*e + 96*A*a^7*b^3*d^3*x^5*e + 45/4*B*a^8*b^2*d^4*x^4 + 30*A*a^7*b^3*d^4*x^4 + 10/7*B*a^9*b*x^7*e^4 + 45/7*A*a^8*b^2*x^7*e^4 + 20/3*B*a^9*b*d*x^6*e^3 + 30*A*a^8*b^2*d*x^6*e^3 + 12*B*a^9*b*d^2*x^5*e^2 + 54*A*a^8*b^2*d^2*x^5*e^2 + 10*B*a^9*b*d^3*x^4*e + 45*A*a^8*b^2*d^3*x^4*e + 10/3*B*a^9*b*d^4*x^3 + 15*A*a^8*b^2*d^4*x^3 + 1/6*B*a^10*x^6*e^4 + 5/3*A*a^9*b*x^6*e^4 + 4/5*B*a^10*d*x^5*e^3 + 8*A*a^9*b*d*x^5*e^3 + 3/2*B*a^10*d^2*x^4*e^2 + 15*A*a^9*b*d^2*x^4*e^2 + 4/3*B*a^10*d^3*x^3*e + 40/3*A*a^9*b*d^3*x^3*e + 1/2*B*a^10*d^4*x^2 + 5*A*a^9*b*d^4*x^2 + 1/5*A*a^10*x^5*e^4 + A*a^10*d*x^4*e^3 + 2*A*a^10*d^2*x^3*e^2 + 2*A*a^10*d^3*x^2*e + A*a^10*d^4*x","B",0
1085,1,1257,0,1.182230," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d)^3,x, algorithm=""giac"")","\frac{1}{15} \, B b^{10} x^{15} e^{3} + \frac{3}{14} \, B b^{10} d x^{14} e^{2} + \frac{3}{13} \, B b^{10} d^{2} x^{13} e + \frac{1}{12} \, B b^{10} d^{3} x^{12} + \frac{5}{7} \, B a b^{9} x^{14} e^{3} + \frac{1}{14} \, A b^{10} x^{14} e^{3} + \frac{30}{13} \, B a b^{9} d x^{13} e^{2} + \frac{3}{13} \, A b^{10} d x^{13} e^{2} + \frac{5}{2} \, B a b^{9} d^{2} x^{12} e + \frac{1}{4} \, A b^{10} d^{2} x^{12} e + \frac{10}{11} \, B a b^{9} d^{3} x^{11} + \frac{1}{11} \, A b^{10} d^{3} x^{11} + \frac{45}{13} \, B a^{2} b^{8} x^{13} e^{3} + \frac{10}{13} \, A a b^{9} x^{13} e^{3} + \frac{45}{4} \, B a^{2} b^{8} d x^{12} e^{2} + \frac{5}{2} \, A a b^{9} d x^{12} e^{2} + \frac{135}{11} \, B a^{2} b^{8} d^{2} x^{11} e + \frac{30}{11} \, A a b^{9} d^{2} x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d^{3} x^{10} + A a b^{9} d^{3} x^{10} + 10 \, B a^{3} b^{7} x^{12} e^{3} + \frac{15}{4} \, A a^{2} b^{8} x^{12} e^{3} + \frac{360}{11} \, B a^{3} b^{7} d x^{11} e^{2} + \frac{135}{11} \, A a^{2} b^{8} d x^{11} e^{2} + 36 \, B a^{3} b^{7} d^{2} x^{10} e + \frac{27}{2} \, A a^{2} b^{8} d^{2} x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d^{3} x^{9} + 5 \, A a^{2} b^{8} d^{3} x^{9} + \frac{210}{11} \, B a^{4} b^{6} x^{11} e^{3} + \frac{120}{11} \, A a^{3} b^{7} x^{11} e^{3} + 63 \, B a^{4} b^{6} d x^{10} e^{2} + 36 \, A a^{3} b^{7} d x^{10} e^{2} + 70 \, B a^{4} b^{6} d^{2} x^{9} e + 40 \, A a^{3} b^{7} d^{2} x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d^{3} x^{8} + 15 \, A a^{3} b^{7} d^{3} x^{8} + \frac{126}{5} \, B a^{5} b^{5} x^{10} e^{3} + 21 \, A a^{4} b^{6} x^{10} e^{3} + 84 \, B a^{5} b^{5} d x^{9} e^{2} + 70 \, A a^{4} b^{6} d x^{9} e^{2} + \frac{189}{2} \, B a^{5} b^{5} d^{2} x^{8} e + \frac{315}{4} \, A a^{4} b^{6} d^{2} x^{8} e + 36 \, B a^{5} b^{5} d^{3} x^{7} + 30 \, A a^{4} b^{6} d^{3} x^{7} + \frac{70}{3} \, B a^{6} b^{4} x^{9} e^{3} + 28 \, A a^{5} b^{5} x^{9} e^{3} + \frac{315}{4} \, B a^{6} b^{4} d x^{8} e^{2} + \frac{189}{2} \, A a^{5} b^{5} d x^{8} e^{2} + 90 \, B a^{6} b^{4} d^{2} x^{7} e + 108 \, A a^{5} b^{5} d^{2} x^{7} e + 35 \, B a^{6} b^{4} d^{3} x^{6} + 42 \, A a^{5} b^{5} d^{3} x^{6} + 15 \, B a^{7} b^{3} x^{8} e^{3} + \frac{105}{4} \, A a^{6} b^{4} x^{8} e^{3} + \frac{360}{7} \, B a^{7} b^{3} d x^{7} e^{2} + 90 \, A a^{6} b^{4} d x^{7} e^{2} + 60 \, B a^{7} b^{3} d^{2} x^{6} e + 105 \, A a^{6} b^{4} d^{2} x^{6} e + 24 \, B a^{7} b^{3} d^{3} x^{5} + 42 \, A a^{6} b^{4} d^{3} x^{5} + \frac{45}{7} \, B a^{8} b^{2} x^{7} e^{3} + \frac{120}{7} \, A a^{7} b^{3} x^{7} e^{3} + \frac{45}{2} \, B a^{8} b^{2} d x^{6} e^{2} + 60 \, A a^{7} b^{3} d x^{6} e^{2} + 27 \, B a^{8} b^{2} d^{2} x^{5} e + 72 \, A a^{7} b^{3} d^{2} x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d^{3} x^{4} + 30 \, A a^{7} b^{3} d^{3} x^{4} + \frac{5}{3} \, B a^{9} b x^{6} e^{3} + \frac{15}{2} \, A a^{8} b^{2} x^{6} e^{3} + 6 \, B a^{9} b d x^{5} e^{2} + 27 \, A a^{8} b^{2} d x^{5} e^{2} + \frac{15}{2} \, B a^{9} b d^{2} x^{4} e + \frac{135}{4} \, A a^{8} b^{2} d^{2} x^{4} e + \frac{10}{3} \, B a^{9} b d^{3} x^{3} + 15 \, A a^{8} b^{2} d^{3} x^{3} + \frac{1}{5} \, B a^{10} x^{5} e^{3} + 2 \, A a^{9} b x^{5} e^{3} + \frac{3}{4} \, B a^{10} d x^{4} e^{2} + \frac{15}{2} \, A a^{9} b d x^{4} e^{2} + B a^{10} d^{2} x^{3} e + 10 \, A a^{9} b d^{2} x^{3} e + \frac{1}{2} \, B a^{10} d^{3} x^{2} + 5 \, A a^{9} b d^{3} x^{2} + \frac{1}{4} \, A a^{10} x^{4} e^{3} + A a^{10} d x^{3} e^{2} + \frac{3}{2} \, A a^{10} d^{2} x^{2} e + A a^{10} d^{3} x"," ",0,"1/15*B*b^10*x^15*e^3 + 3/14*B*b^10*d*x^14*e^2 + 3/13*B*b^10*d^2*x^13*e + 1/12*B*b^10*d^3*x^12 + 5/7*B*a*b^9*x^14*e^3 + 1/14*A*b^10*x^14*e^3 + 30/13*B*a*b^9*d*x^13*e^2 + 3/13*A*b^10*d*x^13*e^2 + 5/2*B*a*b^9*d^2*x^12*e + 1/4*A*b^10*d^2*x^12*e + 10/11*B*a*b^9*d^3*x^11 + 1/11*A*b^10*d^3*x^11 + 45/13*B*a^2*b^8*x^13*e^3 + 10/13*A*a*b^9*x^13*e^3 + 45/4*B*a^2*b^8*d*x^12*e^2 + 5/2*A*a*b^9*d*x^12*e^2 + 135/11*B*a^2*b^8*d^2*x^11*e + 30/11*A*a*b^9*d^2*x^11*e + 9/2*B*a^2*b^8*d^3*x^10 + A*a*b^9*d^3*x^10 + 10*B*a^3*b^7*x^12*e^3 + 15/4*A*a^2*b^8*x^12*e^3 + 360/11*B*a^3*b^7*d*x^11*e^2 + 135/11*A*a^2*b^8*d*x^11*e^2 + 36*B*a^3*b^7*d^2*x^10*e + 27/2*A*a^2*b^8*d^2*x^10*e + 40/3*B*a^3*b^7*d^3*x^9 + 5*A*a^2*b^8*d^3*x^9 + 210/11*B*a^4*b^6*x^11*e^3 + 120/11*A*a^3*b^7*x^11*e^3 + 63*B*a^4*b^6*d*x^10*e^2 + 36*A*a^3*b^7*d*x^10*e^2 + 70*B*a^4*b^6*d^2*x^9*e + 40*A*a^3*b^7*d^2*x^9*e + 105/4*B*a^4*b^6*d^3*x^8 + 15*A*a^3*b^7*d^3*x^8 + 126/5*B*a^5*b^5*x^10*e^3 + 21*A*a^4*b^6*x^10*e^3 + 84*B*a^5*b^5*d*x^9*e^2 + 70*A*a^4*b^6*d*x^9*e^2 + 189/2*B*a^5*b^5*d^2*x^8*e + 315/4*A*a^4*b^6*d^2*x^8*e + 36*B*a^5*b^5*d^3*x^7 + 30*A*a^4*b^6*d^3*x^7 + 70/3*B*a^6*b^4*x^9*e^3 + 28*A*a^5*b^5*x^9*e^3 + 315/4*B*a^6*b^4*d*x^8*e^2 + 189/2*A*a^5*b^5*d*x^8*e^2 + 90*B*a^6*b^4*d^2*x^7*e + 108*A*a^5*b^5*d^2*x^7*e + 35*B*a^6*b^4*d^3*x^6 + 42*A*a^5*b^5*d^3*x^6 + 15*B*a^7*b^3*x^8*e^3 + 105/4*A*a^6*b^4*x^8*e^3 + 360/7*B*a^7*b^3*d*x^7*e^2 + 90*A*a^6*b^4*d*x^7*e^2 + 60*B*a^7*b^3*d^2*x^6*e + 105*A*a^6*b^4*d^2*x^6*e + 24*B*a^7*b^3*d^3*x^5 + 42*A*a^6*b^4*d^3*x^5 + 45/7*B*a^8*b^2*x^7*e^3 + 120/7*A*a^7*b^3*x^7*e^3 + 45/2*B*a^8*b^2*d*x^6*e^2 + 60*A*a^7*b^3*d*x^6*e^2 + 27*B*a^8*b^2*d^2*x^5*e + 72*A*a^7*b^3*d^2*x^5*e + 45/4*B*a^8*b^2*d^3*x^4 + 30*A*a^7*b^3*d^3*x^4 + 5/3*B*a^9*b*x^6*e^3 + 15/2*A*a^8*b^2*x^6*e^3 + 6*B*a^9*b*d*x^5*e^2 + 27*A*a^8*b^2*d*x^5*e^2 + 15/2*B*a^9*b*d^2*x^4*e + 135/4*A*a^8*b^2*d^2*x^4*e + 10/3*B*a^9*b*d^3*x^3 + 15*A*a^8*b^2*d^3*x^3 + 1/5*B*a^10*x^5*e^3 + 2*A*a^9*b*x^5*e^3 + 3/4*B*a^10*d*x^4*e^2 + 15/2*A*a^9*b*d*x^4*e^2 + B*a^10*d^2*x^3*e + 10*A*a^9*b*d^2*x^3*e + 1/2*B*a^10*d^3*x^2 + 5*A*a^9*b*d^3*x^2 + 1/4*A*a^10*x^4*e^3 + A*a^10*d*x^3*e^2 + 3/2*A*a^10*d^2*x^2*e + A*a^10*d^3*x","B",0
1086,1,904,0,1.222992," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d)^2,x, algorithm=""giac"")","\frac{1}{14} \, B b^{10} x^{14} e^{2} + \frac{2}{13} \, B b^{10} d x^{13} e + \frac{1}{12} \, B b^{10} d^{2} x^{12} + \frac{10}{13} \, B a b^{9} x^{13} e^{2} + \frac{1}{13} \, A b^{10} x^{13} e^{2} + \frac{5}{3} \, B a b^{9} d x^{12} e + \frac{1}{6} \, A b^{10} d x^{12} e + \frac{10}{11} \, B a b^{9} d^{2} x^{11} + \frac{1}{11} \, A b^{10} d^{2} x^{11} + \frac{15}{4} \, B a^{2} b^{8} x^{12} e^{2} + \frac{5}{6} \, A a b^{9} x^{12} e^{2} + \frac{90}{11} \, B a^{2} b^{8} d x^{11} e + \frac{20}{11} \, A a b^{9} d x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d^{2} x^{10} + A a b^{9} d^{2} x^{10} + \frac{120}{11} \, B a^{3} b^{7} x^{11} e^{2} + \frac{45}{11} \, A a^{2} b^{8} x^{11} e^{2} + 24 \, B a^{3} b^{7} d x^{10} e + 9 \, A a^{2} b^{8} d x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d^{2} x^{9} + 5 \, A a^{2} b^{8} d^{2} x^{9} + 21 \, B a^{4} b^{6} x^{10} e^{2} + 12 \, A a^{3} b^{7} x^{10} e^{2} + \frac{140}{3} \, B a^{4} b^{6} d x^{9} e + \frac{80}{3} \, A a^{3} b^{7} d x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d^{2} x^{8} + 15 \, A a^{3} b^{7} d^{2} x^{8} + 28 \, B a^{5} b^{5} x^{9} e^{2} + \frac{70}{3} \, A a^{4} b^{6} x^{9} e^{2} + 63 \, B a^{5} b^{5} d x^{8} e + \frac{105}{2} \, A a^{4} b^{6} d x^{8} e + 36 \, B a^{5} b^{5} d^{2} x^{7} + 30 \, A a^{4} b^{6} d^{2} x^{7} + \frac{105}{4} \, B a^{6} b^{4} x^{8} e^{2} + \frac{63}{2} \, A a^{5} b^{5} x^{8} e^{2} + 60 \, B a^{6} b^{4} d x^{7} e + 72 \, A a^{5} b^{5} d x^{7} e + 35 \, B a^{6} b^{4} d^{2} x^{6} + 42 \, A a^{5} b^{5} d^{2} x^{6} + \frac{120}{7} \, B a^{7} b^{3} x^{7} e^{2} + 30 \, A a^{6} b^{4} x^{7} e^{2} + 40 \, B a^{7} b^{3} d x^{6} e + 70 \, A a^{6} b^{4} d x^{6} e + 24 \, B a^{7} b^{3} d^{2} x^{5} + 42 \, A a^{6} b^{4} d^{2} x^{5} + \frac{15}{2} \, B a^{8} b^{2} x^{6} e^{2} + 20 \, A a^{7} b^{3} x^{6} e^{2} + 18 \, B a^{8} b^{2} d x^{5} e + 48 \, A a^{7} b^{3} d x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d^{2} x^{4} + 30 \, A a^{7} b^{3} d^{2} x^{4} + 2 \, B a^{9} b x^{5} e^{2} + 9 \, A a^{8} b^{2} x^{5} e^{2} + 5 \, B a^{9} b d x^{4} e + \frac{45}{2} \, A a^{8} b^{2} d x^{4} e + \frac{10}{3} \, B a^{9} b d^{2} x^{3} + 15 \, A a^{8} b^{2} d^{2} x^{3} + \frac{1}{4} \, B a^{10} x^{4} e^{2} + \frac{5}{2} \, A a^{9} b x^{4} e^{2} + \frac{2}{3} \, B a^{10} d x^{3} e + \frac{20}{3} \, A a^{9} b d x^{3} e + \frac{1}{2} \, B a^{10} d^{2} x^{2} + 5 \, A a^{9} b d^{2} x^{2} + \frac{1}{3} \, A a^{10} x^{3} e^{2} + A a^{10} d x^{2} e + A a^{10} d^{2} x"," ",0,"1/14*B*b^10*x^14*e^2 + 2/13*B*b^10*d*x^13*e + 1/12*B*b^10*d^2*x^12 + 10/13*B*a*b^9*x^13*e^2 + 1/13*A*b^10*x^13*e^2 + 5/3*B*a*b^9*d*x^12*e + 1/6*A*b^10*d*x^12*e + 10/11*B*a*b^9*d^2*x^11 + 1/11*A*b^10*d^2*x^11 + 15/4*B*a^2*b^8*x^12*e^2 + 5/6*A*a*b^9*x^12*e^2 + 90/11*B*a^2*b^8*d*x^11*e + 20/11*A*a*b^9*d*x^11*e + 9/2*B*a^2*b^8*d^2*x^10 + A*a*b^9*d^2*x^10 + 120/11*B*a^3*b^7*x^11*e^2 + 45/11*A*a^2*b^8*x^11*e^2 + 24*B*a^3*b^7*d*x^10*e + 9*A*a^2*b^8*d*x^10*e + 40/3*B*a^3*b^7*d^2*x^9 + 5*A*a^2*b^8*d^2*x^9 + 21*B*a^4*b^6*x^10*e^2 + 12*A*a^3*b^7*x^10*e^2 + 140/3*B*a^4*b^6*d*x^9*e + 80/3*A*a^3*b^7*d*x^9*e + 105/4*B*a^4*b^6*d^2*x^8 + 15*A*a^3*b^7*d^2*x^8 + 28*B*a^5*b^5*x^9*e^2 + 70/3*A*a^4*b^6*x^9*e^2 + 63*B*a^5*b^5*d*x^8*e + 105/2*A*a^4*b^6*d*x^8*e + 36*B*a^5*b^5*d^2*x^7 + 30*A*a^4*b^6*d^2*x^7 + 105/4*B*a^6*b^4*x^8*e^2 + 63/2*A*a^5*b^5*x^8*e^2 + 60*B*a^6*b^4*d*x^7*e + 72*A*a^5*b^5*d*x^7*e + 35*B*a^6*b^4*d^2*x^6 + 42*A*a^5*b^5*d^2*x^6 + 120/7*B*a^7*b^3*x^7*e^2 + 30*A*a^6*b^4*x^7*e^2 + 40*B*a^7*b^3*d*x^6*e + 70*A*a^6*b^4*d*x^6*e + 24*B*a^7*b^3*d^2*x^5 + 42*A*a^6*b^4*d^2*x^5 + 15/2*B*a^8*b^2*x^6*e^2 + 20*A*a^7*b^3*x^6*e^2 + 18*B*a^8*b^2*d*x^5*e + 48*A*a^7*b^3*d*x^5*e + 45/4*B*a^8*b^2*d^2*x^4 + 30*A*a^7*b^3*d^2*x^4 + 2*B*a^9*b*x^5*e^2 + 9*A*a^8*b^2*x^5*e^2 + 5*B*a^9*b*d*x^4*e + 45/2*A*a^8*b^2*d*x^4*e + 10/3*B*a^9*b*d^2*x^3 + 15*A*a^8*b^2*d^2*x^3 + 1/4*B*a^10*x^4*e^2 + 5/2*A*a^9*b*x^4*e^2 + 2/3*B*a^10*d*x^3*e + 20/3*A*a^9*b*d*x^3*e + 1/2*B*a^10*d^2*x^2 + 5*A*a^9*b*d^2*x^2 + 1/3*A*a^10*x^3*e^2 + A*a^10*d*x^2*e + A*a^10*d^2*x","B",0
1087,1,551,0,1.200051," ","integrate((b*x+a)^10*(B*x+A)*(e*x+d),x, algorithm=""giac"")","\frac{1}{13} \, B b^{10} x^{13} e + \frac{1}{12} \, B b^{10} d x^{12} + \frac{5}{6} \, B a b^{9} x^{12} e + \frac{1}{12} \, A b^{10} x^{12} e + \frac{10}{11} \, B a b^{9} d x^{11} + \frac{1}{11} \, A b^{10} d x^{11} + \frac{45}{11} \, B a^{2} b^{8} x^{11} e + \frac{10}{11} \, A a b^{9} x^{11} e + \frac{9}{2} \, B a^{2} b^{8} d x^{10} + A a b^{9} d x^{10} + 12 \, B a^{3} b^{7} x^{10} e + \frac{9}{2} \, A a^{2} b^{8} x^{10} e + \frac{40}{3} \, B a^{3} b^{7} d x^{9} + 5 \, A a^{2} b^{8} d x^{9} + \frac{70}{3} \, B a^{4} b^{6} x^{9} e + \frac{40}{3} \, A a^{3} b^{7} x^{9} e + \frac{105}{4} \, B a^{4} b^{6} d x^{8} + 15 \, A a^{3} b^{7} d x^{8} + \frac{63}{2} \, B a^{5} b^{5} x^{8} e + \frac{105}{4} \, A a^{4} b^{6} x^{8} e + 36 \, B a^{5} b^{5} d x^{7} + 30 \, A a^{4} b^{6} d x^{7} + 30 \, B a^{6} b^{4} x^{7} e + 36 \, A a^{5} b^{5} x^{7} e + 35 \, B a^{6} b^{4} d x^{6} + 42 \, A a^{5} b^{5} d x^{6} + 20 \, B a^{7} b^{3} x^{6} e + 35 \, A a^{6} b^{4} x^{6} e + 24 \, B a^{7} b^{3} d x^{5} + 42 \, A a^{6} b^{4} d x^{5} + 9 \, B a^{8} b^{2} x^{5} e + 24 \, A a^{7} b^{3} x^{5} e + \frac{45}{4} \, B a^{8} b^{2} d x^{4} + 30 \, A a^{7} b^{3} d x^{4} + \frac{5}{2} \, B a^{9} b x^{4} e + \frac{45}{4} \, A a^{8} b^{2} x^{4} e + \frac{10}{3} \, B a^{9} b d x^{3} + 15 \, A a^{8} b^{2} d x^{3} + \frac{1}{3} \, B a^{10} x^{3} e + \frac{10}{3} \, A a^{9} b x^{3} e + \frac{1}{2} \, B a^{10} d x^{2} + 5 \, A a^{9} b d x^{2} + \frac{1}{2} \, A a^{10} x^{2} e + A a^{10} d x"," ",0,"1/13*B*b^10*x^13*e + 1/12*B*b^10*d*x^12 + 5/6*B*a*b^9*x^12*e + 1/12*A*b^10*x^12*e + 10/11*B*a*b^9*d*x^11 + 1/11*A*b^10*d*x^11 + 45/11*B*a^2*b^8*x^11*e + 10/11*A*a*b^9*x^11*e + 9/2*B*a^2*b^8*d*x^10 + A*a*b^9*d*x^10 + 12*B*a^3*b^7*x^10*e + 9/2*A*a^2*b^8*x^10*e + 40/3*B*a^3*b^7*d*x^9 + 5*A*a^2*b^8*d*x^9 + 70/3*B*a^4*b^6*x^9*e + 40/3*A*a^3*b^7*x^9*e + 105/4*B*a^4*b^6*d*x^8 + 15*A*a^3*b^7*d*x^8 + 63/2*B*a^5*b^5*x^8*e + 105/4*A*a^4*b^6*x^8*e + 36*B*a^5*b^5*d*x^7 + 30*A*a^4*b^6*d*x^7 + 30*B*a^6*b^4*x^7*e + 36*A*a^5*b^5*x^7*e + 35*B*a^6*b^4*d*x^6 + 42*A*a^5*b^5*d*x^6 + 20*B*a^7*b^3*x^6*e + 35*A*a^6*b^4*x^6*e + 24*B*a^7*b^3*d*x^5 + 42*A*a^6*b^4*d*x^5 + 9*B*a^8*b^2*x^5*e + 24*A*a^7*b^3*x^5*e + 45/4*B*a^8*b^2*d*x^4 + 30*A*a^7*b^3*d*x^4 + 5/2*B*a^9*b*x^4*e + 45/4*A*a^8*b^2*x^4*e + 10/3*B*a^9*b*d*x^3 + 15*A*a^8*b^2*d*x^3 + 1/3*B*a^10*x^3*e + 10/3*A*a^9*b*x^3*e + 1/2*B*a^10*d*x^2 + 5*A*a^9*b*d*x^2 + 1/2*A*a^10*x^2*e + A*a^10*d*x","B",0
1088,1,241,0,1.219306," ","integrate((b*x+a)^10*(B*x+A),x, algorithm=""giac"")","\frac{1}{12} \, B b^{10} x^{12} + \frac{10}{11} \, B a b^{9} x^{11} + \frac{1}{11} \, A b^{10} x^{11} + \frac{9}{2} \, B a^{2} b^{8} x^{10} + A a b^{9} x^{10} + \frac{40}{3} \, B a^{3} b^{7} x^{9} + 5 \, A a^{2} b^{8} x^{9} + \frac{105}{4} \, B a^{4} b^{6} x^{8} + 15 \, A a^{3} b^{7} x^{8} + 36 \, B a^{5} b^{5} x^{7} + 30 \, A a^{4} b^{6} x^{7} + 35 \, B a^{6} b^{4} x^{6} + 42 \, A a^{5} b^{5} x^{6} + 24 \, B a^{7} b^{3} x^{5} + 42 \, A a^{6} b^{4} x^{5} + \frac{45}{4} \, B a^{8} b^{2} x^{4} + 30 \, A a^{7} b^{3} x^{4} + \frac{10}{3} \, B a^{9} b x^{3} + 15 \, A a^{8} b^{2} x^{3} + \frac{1}{2} \, B a^{10} x^{2} + 5 \, A a^{9} b x^{2} + A a^{10} x"," ",0,"1/12*B*b^10*x^12 + 10/11*B*a*b^9*x^11 + 1/11*A*b^10*x^11 + 9/2*B*a^2*b^8*x^10 + A*a*b^9*x^10 + 40/3*B*a^3*b^7*x^9 + 5*A*a^2*b^8*x^9 + 105/4*B*a^4*b^6*x^8 + 15*A*a^3*b^7*x^8 + 36*B*a^5*b^5*x^7 + 30*A*a^4*b^6*x^7 + 35*B*a^6*b^4*x^6 + 42*A*a^5*b^5*x^6 + 24*B*a^7*b^3*x^5 + 42*A*a^6*b^4*x^5 + 45/4*B*a^8*b^2*x^4 + 30*A*a^7*b^3*x^4 + 10/3*B*a^9*b*x^3 + 15*A*a^8*b^2*x^3 + 1/2*B*a^10*x^2 + 5*A*a^9*b*x^2 + A*a^10*x","B",0
1089,1,2098,0,1.291117," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d),x, algorithm=""giac"")","-{\left(B b^{10} d^{11} - 10 \, B a b^{9} d^{10} e - A b^{10} d^{10} e + 45 \, B a^{2} b^{8} d^{9} e^{2} + 10 \, A a b^{9} d^{9} e^{2} - 120 \, B a^{3} b^{7} d^{8} e^{3} - 45 \, A a^{2} b^{8} d^{8} e^{3} + 210 \, B a^{4} b^{6} d^{7} e^{4} + 120 \, A a^{3} b^{7} d^{7} e^{4} - 252 \, B a^{5} b^{5} d^{6} e^{5} - 210 \, A a^{4} b^{6} d^{6} e^{5} + 210 \, B a^{6} b^{4} d^{5} e^{6} + 252 \, A a^{5} b^{5} d^{5} e^{6} - 120 \, B a^{7} b^{3} d^{4} e^{7} - 210 \, A a^{6} b^{4} d^{4} e^{7} + 45 \, B a^{8} b^{2} d^{3} e^{8} + 120 \, A a^{7} b^{3} d^{3} e^{8} - 10 \, B a^{9} b d^{2} e^{9} - 45 \, A a^{8} b^{2} d^{2} e^{9} + B a^{10} d e^{10} + 10 \, A a^{9} b d e^{10} - A a^{10} e^{11}\right)} e^{\left(-12\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{27720} \, {\left(2520 \, B b^{10} x^{11} e^{10} - 2772 \, B b^{10} d x^{10} e^{9} + 3080 \, B b^{10} d^{2} x^{9} e^{8} - 3465 \, B b^{10} d^{3} x^{8} e^{7} + 3960 \, B b^{10} d^{4} x^{7} e^{6} - 4620 \, B b^{10} d^{5} x^{6} e^{5} + 5544 \, B b^{10} d^{6} x^{5} e^{4} - 6930 \, B b^{10} d^{7} x^{4} e^{3} + 9240 \, B b^{10} d^{8} x^{3} e^{2} - 13860 \, B b^{10} d^{9} x^{2} e + 27720 \, B b^{10} d^{10} x + 27720 \, B a b^{9} x^{10} e^{10} + 2772 \, A b^{10} x^{10} e^{10} - 30800 \, B a b^{9} d x^{9} e^{9} - 3080 \, A b^{10} d x^{9} e^{9} + 34650 \, B a b^{9} d^{2} x^{8} e^{8} + 3465 \, A b^{10} d^{2} x^{8} e^{8} - 39600 \, B a b^{9} d^{3} x^{7} e^{7} - 3960 \, A b^{10} d^{3} x^{7} e^{7} + 46200 \, B a b^{9} d^{4} x^{6} e^{6} + 4620 \, A b^{10} d^{4} x^{6} e^{6} - 55440 \, B a b^{9} d^{5} x^{5} e^{5} - 5544 \, A b^{10} d^{5} x^{5} e^{5} + 69300 \, B a b^{9} d^{6} x^{4} e^{4} + 6930 \, A b^{10} d^{6} x^{4} e^{4} - 92400 \, B a b^{9} d^{7} x^{3} e^{3} - 9240 \, A b^{10} d^{7} x^{3} e^{3} + 138600 \, B a b^{9} d^{8} x^{2} e^{2} + 13860 \, A b^{10} d^{8} x^{2} e^{2} - 277200 \, B a b^{9} d^{9} x e - 27720 \, A b^{10} d^{9} x e + 138600 \, B a^{2} b^{8} x^{9} e^{10} + 30800 \, A a b^{9} x^{9} e^{10} - 155925 \, B a^{2} b^{8} d x^{8} e^{9} - 34650 \, A a b^{9} d x^{8} e^{9} + 178200 \, B a^{2} b^{8} d^{2} x^{7} e^{8} + 39600 \, A a b^{9} d^{2} x^{7} e^{8} - 207900 \, B a^{2} b^{8} d^{3} x^{6} e^{7} - 46200 \, A a b^{9} d^{3} x^{6} e^{7} + 249480 \, B a^{2} b^{8} d^{4} x^{5} e^{6} + 55440 \, A a b^{9} d^{4} x^{5} e^{6} - 311850 \, B a^{2} b^{8} d^{5} x^{4} e^{5} - 69300 \, A a b^{9} d^{5} x^{4} e^{5} + 415800 \, B a^{2} b^{8} d^{6} x^{3} e^{4} + 92400 \, A a b^{9} d^{6} x^{3} e^{4} - 623700 \, B a^{2} b^{8} d^{7} x^{2} e^{3} - 138600 \, A a b^{9} d^{7} x^{2} e^{3} + 1247400 \, B a^{2} b^{8} d^{8} x e^{2} + 277200 \, A a b^{9} d^{8} x e^{2} + 415800 \, B a^{3} b^{7} x^{8} e^{10} + 155925 \, A a^{2} b^{8} x^{8} e^{10} - 475200 \, B a^{3} b^{7} d x^{7} e^{9} - 178200 \, A a^{2} b^{8} d x^{7} e^{9} + 554400 \, B a^{3} b^{7} d^{2} x^{6} e^{8} + 207900 \, A a^{2} b^{8} d^{2} x^{6} e^{8} - 665280 \, B a^{3} b^{7} d^{3} x^{5} e^{7} - 249480 \, A a^{2} b^{8} d^{3} x^{5} e^{7} + 831600 \, B a^{3} b^{7} d^{4} x^{4} e^{6} + 311850 \, A a^{2} b^{8} d^{4} x^{4} e^{6} - 1108800 \, B a^{3} b^{7} d^{5} x^{3} e^{5} - 415800 \, A a^{2} b^{8} d^{5} x^{3} e^{5} + 1663200 \, B a^{3} b^{7} d^{6} x^{2} e^{4} + 623700 \, A a^{2} b^{8} d^{6} x^{2} e^{4} - 3326400 \, B a^{3} b^{7} d^{7} x e^{3} - 1247400 \, A a^{2} b^{8} d^{7} x e^{3} + 831600 \, B a^{4} b^{6} x^{7} e^{10} + 475200 \, A a^{3} b^{7} x^{7} e^{10} - 970200 \, B a^{4} b^{6} d x^{6} e^{9} - 554400 \, A a^{3} b^{7} d x^{6} e^{9} + 1164240 \, B a^{4} b^{6} d^{2} x^{5} e^{8} + 665280 \, A a^{3} b^{7} d^{2} x^{5} e^{8} - 1455300 \, B a^{4} b^{6} d^{3} x^{4} e^{7} - 831600 \, A a^{3} b^{7} d^{3} x^{4} e^{7} + 1940400 \, B a^{4} b^{6} d^{4} x^{3} e^{6} + 1108800 \, A a^{3} b^{7} d^{4} x^{3} e^{6} - 2910600 \, B a^{4} b^{6} d^{5} x^{2} e^{5} - 1663200 \, A a^{3} b^{7} d^{5} x^{2} e^{5} + 5821200 \, B a^{4} b^{6} d^{6} x e^{4} + 3326400 \, A a^{3} b^{7} d^{6} x e^{4} + 1164240 \, B a^{5} b^{5} x^{6} e^{10} + 970200 \, A a^{4} b^{6} x^{6} e^{10} - 1397088 \, B a^{5} b^{5} d x^{5} e^{9} - 1164240 \, A a^{4} b^{6} d x^{5} e^{9} + 1746360 \, B a^{5} b^{5} d^{2} x^{4} e^{8} + 1455300 \, A a^{4} b^{6} d^{2} x^{4} e^{8} - 2328480 \, B a^{5} b^{5} d^{3} x^{3} e^{7} - 1940400 \, A a^{4} b^{6} d^{3} x^{3} e^{7} + 3492720 \, B a^{5} b^{5} d^{4} x^{2} e^{6} + 2910600 \, A a^{4} b^{6} d^{4} x^{2} e^{6} - 6985440 \, B a^{5} b^{5} d^{5} x e^{5} - 5821200 \, A a^{4} b^{6} d^{5} x e^{5} + 1164240 \, B a^{6} b^{4} x^{5} e^{10} + 1397088 \, A a^{5} b^{5} x^{5} e^{10} - 1455300 \, B a^{6} b^{4} d x^{4} e^{9} - 1746360 \, A a^{5} b^{5} d x^{4} e^{9} + 1940400 \, B a^{6} b^{4} d^{2} x^{3} e^{8} + 2328480 \, A a^{5} b^{5} d^{2} x^{3} e^{8} - 2910600 \, B a^{6} b^{4} d^{3} x^{2} e^{7} - 3492720 \, A a^{5} b^{5} d^{3} x^{2} e^{7} + 5821200 \, B a^{6} b^{4} d^{4} x e^{6} + 6985440 \, A a^{5} b^{5} d^{4} x e^{6} + 831600 \, B a^{7} b^{3} x^{4} e^{10} + 1455300 \, A a^{6} b^{4} x^{4} e^{10} - 1108800 \, B a^{7} b^{3} d x^{3} e^{9} - 1940400 \, A a^{6} b^{4} d x^{3} e^{9} + 1663200 \, B a^{7} b^{3} d^{2} x^{2} e^{8} + 2910600 \, A a^{6} b^{4} d^{2} x^{2} e^{8} - 3326400 \, B a^{7} b^{3} d^{3} x e^{7} - 5821200 \, A a^{6} b^{4} d^{3} x e^{7} + 415800 \, B a^{8} b^{2} x^{3} e^{10} + 1108800 \, A a^{7} b^{3} x^{3} e^{10} - 623700 \, B a^{8} b^{2} d x^{2} e^{9} - 1663200 \, A a^{7} b^{3} d x^{2} e^{9} + 1247400 \, B a^{8} b^{2} d^{2} x e^{8} + 3326400 \, A a^{7} b^{3} d^{2} x e^{8} + 138600 \, B a^{9} b x^{2} e^{10} + 623700 \, A a^{8} b^{2} x^{2} e^{10} - 277200 \, B a^{9} b d x e^{9} - 1247400 \, A a^{8} b^{2} d x e^{9} + 27720 \, B a^{10} x e^{10} + 277200 \, A a^{9} b x e^{10}\right)} e^{\left(-11\right)}"," ",0,"-(B*b^10*d^11 - 10*B*a*b^9*d^10*e - A*b^10*d^10*e + 45*B*a^2*b^8*d^9*e^2 + 10*A*a*b^9*d^9*e^2 - 120*B*a^3*b^7*d^8*e^3 - 45*A*a^2*b^8*d^8*e^3 + 210*B*a^4*b^6*d^7*e^4 + 120*A*a^3*b^7*d^7*e^4 - 252*B*a^5*b^5*d^6*e^5 - 210*A*a^4*b^6*d^6*e^5 + 210*B*a^6*b^4*d^5*e^6 + 252*A*a^5*b^5*d^5*e^6 - 120*B*a^7*b^3*d^4*e^7 - 210*A*a^6*b^4*d^4*e^7 + 45*B*a^8*b^2*d^3*e^8 + 120*A*a^7*b^3*d^3*e^8 - 10*B*a^9*b*d^2*e^9 - 45*A*a^8*b^2*d^2*e^9 + B*a^10*d*e^10 + 10*A*a^9*b*d*e^10 - A*a^10*e^11)*e^(-12)*log(abs(x*e + d)) + 1/27720*(2520*B*b^10*x^11*e^10 - 2772*B*b^10*d*x^10*e^9 + 3080*B*b^10*d^2*x^9*e^8 - 3465*B*b^10*d^3*x^8*e^7 + 3960*B*b^10*d^4*x^7*e^6 - 4620*B*b^10*d^5*x^6*e^5 + 5544*B*b^10*d^6*x^5*e^4 - 6930*B*b^10*d^7*x^4*e^3 + 9240*B*b^10*d^8*x^3*e^2 - 13860*B*b^10*d^9*x^2*e + 27720*B*b^10*d^10*x + 27720*B*a*b^9*x^10*e^10 + 2772*A*b^10*x^10*e^10 - 30800*B*a*b^9*d*x^9*e^9 - 3080*A*b^10*d*x^9*e^9 + 34650*B*a*b^9*d^2*x^8*e^8 + 3465*A*b^10*d^2*x^8*e^8 - 39600*B*a*b^9*d^3*x^7*e^7 - 3960*A*b^10*d^3*x^7*e^7 + 46200*B*a*b^9*d^4*x^6*e^6 + 4620*A*b^10*d^4*x^6*e^6 - 55440*B*a*b^9*d^5*x^5*e^5 - 5544*A*b^10*d^5*x^5*e^5 + 69300*B*a*b^9*d^6*x^4*e^4 + 6930*A*b^10*d^6*x^4*e^4 - 92400*B*a*b^9*d^7*x^3*e^3 - 9240*A*b^10*d^7*x^3*e^3 + 138600*B*a*b^9*d^8*x^2*e^2 + 13860*A*b^10*d^8*x^2*e^2 - 277200*B*a*b^9*d^9*x*e - 27720*A*b^10*d^9*x*e + 138600*B*a^2*b^8*x^9*e^10 + 30800*A*a*b^9*x^9*e^10 - 155925*B*a^2*b^8*d*x^8*e^9 - 34650*A*a*b^9*d*x^8*e^9 + 178200*B*a^2*b^8*d^2*x^7*e^8 + 39600*A*a*b^9*d^2*x^7*e^8 - 207900*B*a^2*b^8*d^3*x^6*e^7 - 46200*A*a*b^9*d^3*x^6*e^7 + 249480*B*a^2*b^8*d^4*x^5*e^6 + 55440*A*a*b^9*d^4*x^5*e^6 - 311850*B*a^2*b^8*d^5*x^4*e^5 - 69300*A*a*b^9*d^5*x^4*e^5 + 415800*B*a^2*b^8*d^6*x^3*e^4 + 92400*A*a*b^9*d^6*x^3*e^4 - 623700*B*a^2*b^8*d^7*x^2*e^3 - 138600*A*a*b^9*d^7*x^2*e^3 + 1247400*B*a^2*b^8*d^8*x*e^2 + 277200*A*a*b^9*d^8*x*e^2 + 415800*B*a^3*b^7*x^8*e^10 + 155925*A*a^2*b^8*x^8*e^10 - 475200*B*a^3*b^7*d*x^7*e^9 - 178200*A*a^2*b^8*d*x^7*e^9 + 554400*B*a^3*b^7*d^2*x^6*e^8 + 207900*A*a^2*b^8*d^2*x^6*e^8 - 665280*B*a^3*b^7*d^3*x^5*e^7 - 249480*A*a^2*b^8*d^3*x^5*e^7 + 831600*B*a^3*b^7*d^4*x^4*e^6 + 311850*A*a^2*b^8*d^4*x^4*e^6 - 1108800*B*a^3*b^7*d^5*x^3*e^5 - 415800*A*a^2*b^8*d^5*x^3*e^5 + 1663200*B*a^3*b^7*d^6*x^2*e^4 + 623700*A*a^2*b^8*d^6*x^2*e^4 - 3326400*B*a^3*b^7*d^7*x*e^3 - 1247400*A*a^2*b^8*d^7*x*e^3 + 831600*B*a^4*b^6*x^7*e^10 + 475200*A*a^3*b^7*x^7*e^10 - 970200*B*a^4*b^6*d*x^6*e^9 - 554400*A*a^3*b^7*d*x^6*e^9 + 1164240*B*a^4*b^6*d^2*x^5*e^8 + 665280*A*a^3*b^7*d^2*x^5*e^8 - 1455300*B*a^4*b^6*d^3*x^4*e^7 - 831600*A*a^3*b^7*d^3*x^4*e^7 + 1940400*B*a^4*b^6*d^4*x^3*e^6 + 1108800*A*a^3*b^7*d^4*x^3*e^6 - 2910600*B*a^4*b^6*d^5*x^2*e^5 - 1663200*A*a^3*b^7*d^5*x^2*e^5 + 5821200*B*a^4*b^6*d^6*x*e^4 + 3326400*A*a^3*b^7*d^6*x*e^4 + 1164240*B*a^5*b^5*x^6*e^10 + 970200*A*a^4*b^6*x^6*e^10 - 1397088*B*a^5*b^5*d*x^5*e^9 - 1164240*A*a^4*b^6*d*x^5*e^9 + 1746360*B*a^5*b^5*d^2*x^4*e^8 + 1455300*A*a^4*b^6*d^2*x^4*e^8 - 2328480*B*a^5*b^5*d^3*x^3*e^7 - 1940400*A*a^4*b^6*d^3*x^3*e^7 + 3492720*B*a^5*b^5*d^4*x^2*e^6 + 2910600*A*a^4*b^6*d^4*x^2*e^6 - 6985440*B*a^5*b^5*d^5*x*e^5 - 5821200*A*a^4*b^6*d^5*x*e^5 + 1164240*B*a^6*b^4*x^5*e^10 + 1397088*A*a^5*b^5*x^5*e^10 - 1455300*B*a^6*b^4*d*x^4*e^9 - 1746360*A*a^5*b^5*d*x^4*e^9 + 1940400*B*a^6*b^4*d^2*x^3*e^8 + 2328480*A*a^5*b^5*d^2*x^3*e^8 - 2910600*B*a^6*b^4*d^3*x^2*e^7 - 3492720*A*a^5*b^5*d^3*x^2*e^7 + 5821200*B*a^6*b^4*d^4*x*e^6 + 6985440*A*a^5*b^5*d^4*x*e^6 + 831600*B*a^7*b^3*x^4*e^10 + 1455300*A*a^6*b^4*x^4*e^10 - 1108800*B*a^7*b^3*d*x^3*e^9 - 1940400*A*a^6*b^4*d*x^3*e^9 + 1663200*B*a^7*b^3*d^2*x^2*e^8 + 2910600*A*a^6*b^4*d^2*x^2*e^8 - 3326400*B*a^7*b^3*d^3*x*e^7 - 5821200*A*a^6*b^4*d^3*x*e^7 + 415800*B*a^8*b^2*x^3*e^10 + 1108800*A*a^7*b^3*x^3*e^10 - 623700*B*a^8*b^2*d*x^2*e^9 - 1663200*A*a^7*b^3*d*x^2*e^9 + 1247400*B*a^8*b^2*d^2*x*e^8 + 3326400*A*a^7*b^3*d^2*x*e^8 + 138600*B*a^9*b*x^2*e^10 + 623700*A*a^8*b^2*x^2*e^10 - 277200*B*a^9*b*d*x*e^9 - 1247400*A*a^8*b^2*d*x*e^9 + 27720*B*a^10*x*e^10 + 277200*A*a^9*b*x*e^10)*e^(-11)","B",0
1090,1,2092,0,1.375964," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^2,x, algorithm=""giac"")","\frac{1}{2520} \, {\left(252 \, B b^{10} - \frac{280 \, {\left(11 \, B b^{10} d e - 10 \, B a b^{9} e^{2} - A b^{10} e^{2}\right)} e^{\left(-1\right)}}{x e + d} + \frac{1575 \, {\left(11 \, B b^{10} d^{2} e^{2} - 20 \, B a b^{9} d e^{3} - 2 \, A b^{10} d e^{3} + 9 \, B a^{2} b^{8} e^{4} + 2 \, A a b^{9} e^{4}\right)} e^{\left(-2\right)}}{{\left(x e + d\right)}^{2}} - \frac{5400 \, {\left(11 \, B b^{10} d^{3} e^{3} - 30 \, B a b^{9} d^{2} e^{4} - 3 \, A b^{10} d^{2} e^{4} + 27 \, B a^{2} b^{8} d e^{5} + 6 \, A a b^{9} d e^{5} - 8 \, B a^{3} b^{7} e^{6} - 3 \, A a^{2} b^{8} e^{6}\right)} e^{\left(-3\right)}}{{\left(x e + d\right)}^{3}} + \frac{12600 \, {\left(11 \, B b^{10} d^{4} e^{4} - 40 \, B a b^{9} d^{3} e^{5} - 4 \, A b^{10} d^{3} e^{5} + 54 \, B a^{2} b^{8} d^{2} e^{6} + 12 \, A a b^{9} d^{2} e^{6} - 32 \, B a^{3} b^{7} d e^{7} - 12 \, A a^{2} b^{8} d e^{7} + 7 \, B a^{4} b^{6} e^{8} + 4 \, A a^{3} b^{7} e^{8}\right)} e^{\left(-4\right)}}{{\left(x e + d\right)}^{4}} - \frac{21168 \, {\left(11 \, B b^{10} d^{5} e^{5} - 50 \, B a b^{9} d^{4} e^{6} - 5 \, A b^{10} d^{4} e^{6} + 90 \, B a^{2} b^{8} d^{3} e^{7} + 20 \, A a b^{9} d^{3} e^{7} - 80 \, B a^{3} b^{7} d^{2} e^{8} - 30 \, A a^{2} b^{8} d^{2} e^{8} + 35 \, B a^{4} b^{6} d e^{9} + 20 \, A a^{3} b^{7} d e^{9} - 6 \, B a^{5} b^{5} e^{10} - 5 \, A a^{4} b^{6} e^{10}\right)} e^{\left(-5\right)}}{{\left(x e + d\right)}^{5}} + \frac{26460 \, {\left(11 \, B b^{10} d^{6} e^{6} - 60 \, B a b^{9} d^{5} e^{7} - 6 \, A b^{10} d^{5} e^{7} + 135 \, B a^{2} b^{8} d^{4} e^{8} + 30 \, A a b^{9} d^{4} e^{8} - 160 \, B a^{3} b^{7} d^{3} e^{9} - 60 \, A a^{2} b^{8} d^{3} e^{9} + 105 \, B a^{4} b^{6} d^{2} e^{10} + 60 \, A a^{3} b^{7} d^{2} e^{10} - 36 \, B a^{5} b^{5} d e^{11} - 30 \, A a^{4} b^{6} d e^{11} + 5 \, B a^{6} b^{4} e^{12} + 6 \, A a^{5} b^{5} e^{12}\right)} e^{\left(-6\right)}}{{\left(x e + d\right)}^{6}} - \frac{25200 \, {\left(11 \, B b^{10} d^{7} e^{7} - 70 \, B a b^{9} d^{6} e^{8} - 7 \, A b^{10} d^{6} e^{8} + 189 \, B a^{2} b^{8} d^{5} e^{9} + 42 \, A a b^{9} d^{5} e^{9} - 280 \, B a^{3} b^{7} d^{4} e^{10} - 105 \, A a^{2} b^{8} d^{4} e^{10} + 245 \, B a^{4} b^{6} d^{3} e^{11} + 140 \, A a^{3} b^{7} d^{3} e^{11} - 126 \, B a^{5} b^{5} d^{2} e^{12} - 105 \, A a^{4} b^{6} d^{2} e^{12} + 35 \, B a^{6} b^{4} d e^{13} + 42 \, A a^{5} b^{5} d e^{13} - 4 \, B a^{7} b^{3} e^{14} - 7 \, A a^{6} b^{4} e^{14}\right)} e^{\left(-7\right)}}{{\left(x e + d\right)}^{7}} + \frac{18900 \, {\left(11 \, B b^{10} d^{8} e^{8} - 80 \, B a b^{9} d^{7} e^{9} - 8 \, A b^{10} d^{7} e^{9} + 252 \, B a^{2} b^{8} d^{6} e^{10} + 56 \, A a b^{9} d^{6} e^{10} - 448 \, B a^{3} b^{7} d^{5} e^{11} - 168 \, A a^{2} b^{8} d^{5} e^{11} + 490 \, B a^{4} b^{6} d^{4} e^{12} + 280 \, A a^{3} b^{7} d^{4} e^{12} - 336 \, B a^{5} b^{5} d^{3} e^{13} - 280 \, A a^{4} b^{6} d^{3} e^{13} + 140 \, B a^{6} b^{4} d^{2} e^{14} + 168 \, A a^{5} b^{5} d^{2} e^{14} - 32 \, B a^{7} b^{3} d e^{15} - 56 \, A a^{6} b^{4} d e^{15} + 3 \, B a^{8} b^{2} e^{16} + 8 \, A a^{7} b^{3} e^{16}\right)} e^{\left(-8\right)}}{{\left(x e + d\right)}^{8}} - \frac{12600 \, {\left(11 \, B b^{10} d^{9} e^{9} - 90 \, B a b^{9} d^{8} e^{10} - 9 \, A b^{10} d^{8} e^{10} + 324 \, B a^{2} b^{8} d^{7} e^{11} + 72 \, A a b^{9} d^{7} e^{11} - 672 \, B a^{3} b^{7} d^{6} e^{12} - 252 \, A a^{2} b^{8} d^{6} e^{12} + 882 \, B a^{4} b^{6} d^{5} e^{13} + 504 \, A a^{3} b^{7} d^{5} e^{13} - 756 \, B a^{5} b^{5} d^{4} e^{14} - 630 \, A a^{4} b^{6} d^{4} e^{14} + 420 \, B a^{6} b^{4} d^{3} e^{15} + 504 \, A a^{5} b^{5} d^{3} e^{15} - 144 \, B a^{7} b^{3} d^{2} e^{16} - 252 \, A a^{6} b^{4} d^{2} e^{16} + 27 \, B a^{8} b^{2} d e^{17} + 72 \, A a^{7} b^{3} d e^{17} - 2 \, B a^{9} b e^{18} - 9 \, A a^{8} b^{2} e^{18}\right)} e^{\left(-9\right)}}{{\left(x e + d\right)}^{9}}\right)} {\left(x e + d\right)}^{10} e^{\left(-12\right)} - {\left(11 \, B b^{10} d^{10} - 100 \, B a b^{9} d^{9} e - 10 \, A b^{10} d^{9} e + 405 \, B a^{2} b^{8} d^{8} e^{2} + 90 \, A a b^{9} d^{8} e^{2} - 960 \, B a^{3} b^{7} d^{7} e^{3} - 360 \, A a^{2} b^{8} d^{7} e^{3} + 1470 \, B a^{4} b^{6} d^{6} e^{4} + 840 \, A a^{3} b^{7} d^{6} e^{4} - 1512 \, B a^{5} b^{5} d^{5} e^{5} - 1260 \, A a^{4} b^{6} d^{5} e^{5} + 1050 \, B a^{6} b^{4} d^{4} e^{6} + 1260 \, A a^{5} b^{5} d^{4} e^{6} - 480 \, B a^{7} b^{3} d^{3} e^{7} - 840 \, A a^{6} b^{4} d^{3} e^{7} + 135 \, B a^{8} b^{2} d^{2} e^{8} + 360 \, A a^{7} b^{3} d^{2} e^{8} - 20 \, B a^{9} b d e^{9} - 90 \, A a^{8} b^{2} d e^{9} + B a^{10} e^{10} + 10 \, A a^{9} b e^{10}\right)} e^{\left(-12\right)} \log\left(\frac{{\left| x e + d \right|} e^{\left(-1\right)}}{{\left(x e + d\right)}^{2}}\right) + {\left(\frac{B b^{10} d^{11} e^{10}}{x e + d} - \frac{10 \, B a b^{9} d^{10} e^{11}}{x e + d} - \frac{A b^{10} d^{10} e^{11}}{x e + d} + \frac{45 \, B a^{2} b^{8} d^{9} e^{12}}{x e + d} + \frac{10 \, A a b^{9} d^{9} e^{12}}{x e + d} - \frac{120 \, B a^{3} b^{7} d^{8} e^{13}}{x e + d} - \frac{45 \, A a^{2} b^{8} d^{8} e^{13}}{x e + d} + \frac{210 \, B a^{4} b^{6} d^{7} e^{14}}{x e + d} + \frac{120 \, A a^{3} b^{7} d^{7} e^{14}}{x e + d} - \frac{252 \, B a^{5} b^{5} d^{6} e^{15}}{x e + d} - \frac{210 \, A a^{4} b^{6} d^{6} e^{15}}{x e + d} + \frac{210 \, B a^{6} b^{4} d^{5} e^{16}}{x e + d} + \frac{252 \, A a^{5} b^{5} d^{5} e^{16}}{x e + d} - \frac{120 \, B a^{7} b^{3} d^{4} e^{17}}{x e + d} - \frac{210 \, A a^{6} b^{4} d^{4} e^{17}}{x e + d} + \frac{45 \, B a^{8} b^{2} d^{3} e^{18}}{x e + d} + \frac{120 \, A a^{7} b^{3} d^{3} e^{18}}{x e + d} - \frac{10 \, B a^{9} b d^{2} e^{19}}{x e + d} - \frac{45 \, A a^{8} b^{2} d^{2} e^{19}}{x e + d} + \frac{B a^{10} d e^{20}}{x e + d} + \frac{10 \, A a^{9} b d e^{20}}{x e + d} - \frac{A a^{10} e^{21}}{x e + d}\right)} e^{\left(-22\right)}"," ",0,"1/2520*(252*B*b^10 - 280*(11*B*b^10*d*e - 10*B*a*b^9*e^2 - A*b^10*e^2)*e^(-1)/(x*e + d) + 1575*(11*B*b^10*d^2*e^2 - 20*B*a*b^9*d*e^3 - 2*A*b^10*d*e^3 + 9*B*a^2*b^8*e^4 + 2*A*a*b^9*e^4)*e^(-2)/(x*e + d)^2 - 5400*(11*B*b^10*d^3*e^3 - 30*B*a*b^9*d^2*e^4 - 3*A*b^10*d^2*e^4 + 27*B*a^2*b^8*d*e^5 + 6*A*a*b^9*d*e^5 - 8*B*a^3*b^7*e^6 - 3*A*a^2*b^8*e^6)*e^(-3)/(x*e + d)^3 + 12600*(11*B*b^10*d^4*e^4 - 40*B*a*b^9*d^3*e^5 - 4*A*b^10*d^3*e^5 + 54*B*a^2*b^8*d^2*e^6 + 12*A*a*b^9*d^2*e^6 - 32*B*a^3*b^7*d*e^7 - 12*A*a^2*b^8*d*e^7 + 7*B*a^4*b^6*e^8 + 4*A*a^3*b^7*e^8)*e^(-4)/(x*e + d)^4 - 21168*(11*B*b^10*d^5*e^5 - 50*B*a*b^9*d^4*e^6 - 5*A*b^10*d^4*e^6 + 90*B*a^2*b^8*d^3*e^7 + 20*A*a*b^9*d^3*e^7 - 80*B*a^3*b^7*d^2*e^8 - 30*A*a^2*b^8*d^2*e^8 + 35*B*a^4*b^6*d*e^9 + 20*A*a^3*b^7*d*e^9 - 6*B*a^5*b^5*e^10 - 5*A*a^4*b^6*e^10)*e^(-5)/(x*e + d)^5 + 26460*(11*B*b^10*d^6*e^6 - 60*B*a*b^9*d^5*e^7 - 6*A*b^10*d^5*e^7 + 135*B*a^2*b^8*d^4*e^8 + 30*A*a*b^9*d^4*e^8 - 160*B*a^3*b^7*d^3*e^9 - 60*A*a^2*b^8*d^3*e^9 + 105*B*a^4*b^6*d^2*e^10 + 60*A*a^3*b^7*d^2*e^10 - 36*B*a^5*b^5*d*e^11 - 30*A*a^4*b^6*d*e^11 + 5*B*a^6*b^4*e^12 + 6*A*a^5*b^5*e^12)*e^(-6)/(x*e + d)^6 - 25200*(11*B*b^10*d^7*e^7 - 70*B*a*b^9*d^6*e^8 - 7*A*b^10*d^6*e^8 + 189*B*a^2*b^8*d^5*e^9 + 42*A*a*b^9*d^5*e^9 - 280*B*a^3*b^7*d^4*e^10 - 105*A*a^2*b^8*d^4*e^10 + 245*B*a^4*b^6*d^3*e^11 + 140*A*a^3*b^7*d^3*e^11 - 126*B*a^5*b^5*d^2*e^12 - 105*A*a^4*b^6*d^2*e^12 + 35*B*a^6*b^4*d*e^13 + 42*A*a^5*b^5*d*e^13 - 4*B*a^7*b^3*e^14 - 7*A*a^6*b^4*e^14)*e^(-7)/(x*e + d)^7 + 18900*(11*B*b^10*d^8*e^8 - 80*B*a*b^9*d^7*e^9 - 8*A*b^10*d^7*e^9 + 252*B*a^2*b^8*d^6*e^10 + 56*A*a*b^9*d^6*e^10 - 448*B*a^3*b^7*d^5*e^11 - 168*A*a^2*b^8*d^5*e^11 + 490*B*a^4*b^6*d^4*e^12 + 280*A*a^3*b^7*d^4*e^12 - 336*B*a^5*b^5*d^3*e^13 - 280*A*a^4*b^6*d^3*e^13 + 140*B*a^6*b^4*d^2*e^14 + 168*A*a^5*b^5*d^2*e^14 - 32*B*a^7*b^3*d*e^15 - 56*A*a^6*b^4*d*e^15 + 3*B*a^8*b^2*e^16 + 8*A*a^7*b^3*e^16)*e^(-8)/(x*e + d)^8 - 12600*(11*B*b^10*d^9*e^9 - 90*B*a*b^9*d^8*e^10 - 9*A*b^10*d^8*e^10 + 324*B*a^2*b^8*d^7*e^11 + 72*A*a*b^9*d^7*e^11 - 672*B*a^3*b^7*d^6*e^12 - 252*A*a^2*b^8*d^6*e^12 + 882*B*a^4*b^6*d^5*e^13 + 504*A*a^3*b^7*d^5*e^13 - 756*B*a^5*b^5*d^4*e^14 - 630*A*a^4*b^6*d^4*e^14 + 420*B*a^6*b^4*d^3*e^15 + 504*A*a^5*b^5*d^3*e^15 - 144*B*a^7*b^3*d^2*e^16 - 252*A*a^6*b^4*d^2*e^16 + 27*B*a^8*b^2*d*e^17 + 72*A*a^7*b^3*d*e^17 - 2*B*a^9*b*e^18 - 9*A*a^8*b^2*e^18)*e^(-9)/(x*e + d)^9)*(x*e + d)^10*e^(-12) - (11*B*b^10*d^10 - 100*B*a*b^9*d^9*e - 10*A*b^10*d^9*e + 405*B*a^2*b^8*d^8*e^2 + 90*A*a*b^9*d^8*e^2 - 960*B*a^3*b^7*d^7*e^3 - 360*A*a^2*b^8*d^7*e^3 + 1470*B*a^4*b^6*d^6*e^4 + 840*A*a^3*b^7*d^6*e^4 - 1512*B*a^5*b^5*d^5*e^5 - 1260*A*a^4*b^6*d^5*e^5 + 1050*B*a^6*b^4*d^4*e^6 + 1260*A*a^5*b^5*d^4*e^6 - 480*B*a^7*b^3*d^3*e^7 - 840*A*a^6*b^4*d^3*e^7 + 135*B*a^8*b^2*d^2*e^8 + 360*A*a^7*b^3*d^2*e^8 - 20*B*a^9*b*d*e^9 - 90*A*a^8*b^2*d*e^9 + B*a^10*e^10 + 10*A*a^9*b*e^10)*e^(-12)*log(abs(x*e + d)*e^(-1)/(x*e + d)^2) + (B*b^10*d^11*e^10/(x*e + d) - 10*B*a*b^9*d^10*e^11/(x*e + d) - A*b^10*d^10*e^11/(x*e + d) + 45*B*a^2*b^8*d^9*e^12/(x*e + d) + 10*A*a*b^9*d^9*e^12/(x*e + d) - 120*B*a^3*b^7*d^8*e^13/(x*e + d) - 45*A*a^2*b^8*d^8*e^13/(x*e + d) + 210*B*a^4*b^6*d^7*e^14/(x*e + d) + 120*A*a^3*b^7*d^7*e^14/(x*e + d) - 252*B*a^5*b^5*d^6*e^15/(x*e + d) - 210*A*a^4*b^6*d^6*e^15/(x*e + d) + 210*B*a^6*b^4*d^5*e^16/(x*e + d) + 252*A*a^5*b^5*d^5*e^16/(x*e + d) - 120*B*a^7*b^3*d^4*e^17/(x*e + d) - 210*A*a^6*b^4*d^4*e^17/(x*e + d) + 45*B*a^8*b^2*d^3*e^18/(x*e + d) + 120*A*a^7*b^3*d^3*e^18/(x*e + d) - 10*B*a^9*b*d^2*e^19/(x*e + d) - 45*A*a^8*b^2*d^2*e^19/(x*e + d) + B*a^10*d*e^20/(x*e + d) + 10*A*a^9*b*d*e^20/(x*e + d) - A*a^10*e^21/(x*e + d))*e^(-22)","B",0
1091,1,2002,0,1.374809," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^3,x, algorithm=""giac"")","-5 \, {\left(11 \, B b^{10} d^{9} - 90 \, B a b^{9} d^{8} e - 9 \, A b^{10} d^{8} e + 324 \, B a^{2} b^{8} d^{7} e^{2} + 72 \, A a b^{9} d^{7} e^{2} - 672 \, B a^{3} b^{7} d^{6} e^{3} - 252 \, A a^{2} b^{8} d^{6} e^{3} + 882 \, B a^{4} b^{6} d^{5} e^{4} + 504 \, A a^{3} b^{7} d^{5} e^{4} - 756 \, B a^{5} b^{5} d^{4} e^{5} - 630 \, A a^{4} b^{6} d^{4} e^{5} + 420 \, B a^{6} b^{4} d^{3} e^{6} + 504 \, A a^{5} b^{5} d^{3} e^{6} - 144 \, B a^{7} b^{3} d^{2} e^{7} - 252 \, A a^{6} b^{4} d^{2} e^{7} + 27 \, B a^{8} b^{2} d e^{8} + 72 \, A a^{7} b^{3} d e^{8} - 2 \, B a^{9} b e^{9} - 9 \, A a^{8} b^{2} e^{9}\right)} e^{\left(-12\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{504} \, {\left(56 \, B b^{10} x^{9} e^{24} - 189 \, B b^{10} d x^{8} e^{23} + 432 \, B b^{10} d^{2} x^{7} e^{22} - 840 \, B b^{10} d^{3} x^{6} e^{21} + 1512 \, B b^{10} d^{4} x^{5} e^{20} - 2646 \, B b^{10} d^{5} x^{4} e^{19} + 4704 \, B b^{10} d^{6} x^{3} e^{18} - 9072 \, B b^{10} d^{7} x^{2} e^{17} + 22680 \, B b^{10} d^{8} x e^{16} + 630 \, B a b^{9} x^{8} e^{24} + 63 \, A b^{10} x^{8} e^{24} - 2160 \, B a b^{9} d x^{7} e^{23} - 216 \, A b^{10} d x^{7} e^{23} + 5040 \, B a b^{9} d^{2} x^{6} e^{22} + 504 \, A b^{10} d^{2} x^{6} e^{22} - 10080 \, B a b^{9} d^{3} x^{5} e^{21} - 1008 \, A b^{10} d^{3} x^{5} e^{21} + 18900 \, B a b^{9} d^{4} x^{4} e^{20} + 1890 \, A b^{10} d^{4} x^{4} e^{20} - 35280 \, B a b^{9} d^{5} x^{3} e^{19} - 3528 \, A b^{10} d^{5} x^{3} e^{19} + 70560 \, B a b^{9} d^{6} x^{2} e^{18} + 7056 \, A b^{10} d^{6} x^{2} e^{18} - 181440 \, B a b^{9} d^{7} x e^{17} - 18144 \, A b^{10} d^{7} x e^{17} + 3240 \, B a^{2} b^{8} x^{7} e^{24} + 720 \, A a b^{9} x^{7} e^{24} - 11340 \, B a^{2} b^{8} d x^{6} e^{23} - 2520 \, A a b^{9} d x^{6} e^{23} + 27216 \, B a^{2} b^{8} d^{2} x^{5} e^{22} + 6048 \, A a b^{9} d^{2} x^{5} e^{22} - 56700 \, B a^{2} b^{8} d^{3} x^{4} e^{21} - 12600 \, A a b^{9} d^{3} x^{4} e^{21} + 113400 \, B a^{2} b^{8} d^{4} x^{3} e^{20} + 25200 \, A a b^{9} d^{4} x^{3} e^{20} - 238140 \, B a^{2} b^{8} d^{5} x^{2} e^{19} - 52920 \, A a b^{9} d^{5} x^{2} e^{19} + 635040 \, B a^{2} b^{8} d^{6} x e^{18} + 141120 \, A a b^{9} d^{6} x e^{18} + 10080 \, B a^{3} b^{7} x^{6} e^{24} + 3780 \, A a^{2} b^{8} x^{6} e^{24} - 36288 \, B a^{3} b^{7} d x^{5} e^{23} - 13608 \, A a^{2} b^{8} d x^{5} e^{23} + 90720 \, B a^{3} b^{7} d^{2} x^{4} e^{22} + 34020 \, A a^{2} b^{8} d^{2} x^{4} e^{22} - 201600 \, B a^{3} b^{7} d^{3} x^{3} e^{21} - 75600 \, A a^{2} b^{8} d^{3} x^{3} e^{21} + 453600 \, B a^{3} b^{7} d^{4} x^{2} e^{20} + 170100 \, A a^{2} b^{8} d^{4} x^{2} e^{20} - 1270080 \, B a^{3} b^{7} d^{5} x e^{19} - 476280 \, A a^{2} b^{8} d^{5} x e^{19} + 21168 \, B a^{4} b^{6} x^{5} e^{24} + 12096 \, A a^{3} b^{7} x^{5} e^{24} - 79380 \, B a^{4} b^{6} d x^{4} e^{23} - 45360 \, A a^{3} b^{7} d x^{4} e^{23} + 211680 \, B a^{4} b^{6} d^{2} x^{3} e^{22} + 120960 \, A a^{3} b^{7} d^{2} x^{3} e^{22} - 529200 \, B a^{4} b^{6} d^{3} x^{2} e^{21} - 302400 \, A a^{3} b^{7} d^{3} x^{2} e^{21} + 1587600 \, B a^{4} b^{6} d^{4} x e^{20} + 907200 \, A a^{3} b^{7} d^{4} x e^{20} + 31752 \, B a^{5} b^{5} x^{4} e^{24} + 26460 \, A a^{4} b^{6} x^{4} e^{24} - 127008 \, B a^{5} b^{5} d x^{3} e^{23} - 105840 \, A a^{4} b^{6} d x^{3} e^{23} + 381024 \, B a^{5} b^{5} d^{2} x^{2} e^{22} + 317520 \, A a^{4} b^{6} d^{2} x^{2} e^{22} - 1270080 \, B a^{5} b^{5} d^{3} x e^{21} - 1058400 \, A a^{4} b^{6} d^{3} x e^{21} + 35280 \, B a^{6} b^{4} x^{3} e^{24} + 42336 \, A a^{5} b^{5} x^{3} e^{24} - 158760 \, B a^{6} b^{4} d x^{2} e^{23} - 190512 \, A a^{5} b^{5} d x^{2} e^{23} + 635040 \, B a^{6} b^{4} d^{2} x e^{22} + 762048 \, A a^{5} b^{5} d^{2} x e^{22} + 30240 \, B a^{7} b^{3} x^{2} e^{24} + 52920 \, A a^{6} b^{4} x^{2} e^{24} - 181440 \, B a^{7} b^{3} d x e^{23} - 317520 \, A a^{6} b^{4} d x e^{23} + 22680 \, B a^{8} b^{2} x e^{24} + 60480 \, A a^{7} b^{3} x e^{24}\right)} e^{\left(-27\right)} - \frac{{\left(21 \, B b^{10} d^{11} - 190 \, B a b^{9} d^{10} e - 19 \, A b^{10} d^{10} e + 765 \, B a^{2} b^{8} d^{9} e^{2} + 170 \, A a b^{9} d^{9} e^{2} - 1800 \, B a^{3} b^{7} d^{8} e^{3} - 675 \, A a^{2} b^{8} d^{8} e^{3} + 2730 \, B a^{4} b^{6} d^{7} e^{4} + 1560 \, A a^{3} b^{7} d^{7} e^{4} - 2772 \, B a^{5} b^{5} d^{6} e^{5} - 2310 \, A a^{4} b^{6} d^{6} e^{5} + 1890 \, B a^{6} b^{4} d^{5} e^{6} + 2268 \, A a^{5} b^{5} d^{5} e^{6} - 840 \, B a^{7} b^{3} d^{4} e^{7} - 1470 \, A a^{6} b^{4} d^{4} e^{7} + 225 \, B a^{8} b^{2} d^{3} e^{8} + 600 \, A a^{7} b^{3} d^{3} e^{8} - 30 \, B a^{9} b d^{2} e^{9} - 135 \, A a^{8} b^{2} d^{2} e^{9} + B a^{10} d e^{10} + 10 \, A a^{9} b d e^{10} + A a^{10} e^{11} + 2 \, {\left(11 \, B b^{10} d^{10} e - 100 \, B a b^{9} d^{9} e^{2} - 10 \, A b^{10} d^{9} e^{2} + 405 \, B a^{2} b^{8} d^{8} e^{3} + 90 \, A a b^{9} d^{8} e^{3} - 960 \, B a^{3} b^{7} d^{7} e^{4} - 360 \, A a^{2} b^{8} d^{7} e^{4} + 1470 \, B a^{4} b^{6} d^{6} e^{5} + 840 \, A a^{3} b^{7} d^{6} e^{5} - 1512 \, B a^{5} b^{5} d^{5} e^{6} - 1260 \, A a^{4} b^{6} d^{5} e^{6} + 1050 \, B a^{6} b^{4} d^{4} e^{7} + 1260 \, A a^{5} b^{5} d^{4} e^{7} - 480 \, B a^{7} b^{3} d^{3} e^{8} - 840 \, A a^{6} b^{4} d^{3} e^{8} + 135 \, B a^{8} b^{2} d^{2} e^{9} + 360 \, A a^{7} b^{3} d^{2} e^{9} - 20 \, B a^{9} b d e^{10} - 90 \, A a^{8} b^{2} d e^{10} + B a^{10} e^{11} + 10 \, A a^{9} b e^{11}\right)} x\right)} e^{\left(-12\right)}}{2 \, {\left(x e + d\right)}^{2}}"," ",0,"-5*(11*B*b^10*d^9 - 90*B*a*b^9*d^8*e - 9*A*b^10*d^8*e + 324*B*a^2*b^8*d^7*e^2 + 72*A*a*b^9*d^7*e^2 - 672*B*a^3*b^7*d^6*e^3 - 252*A*a^2*b^8*d^6*e^3 + 882*B*a^4*b^6*d^5*e^4 + 504*A*a^3*b^7*d^5*e^4 - 756*B*a^5*b^5*d^4*e^5 - 630*A*a^4*b^6*d^4*e^5 + 420*B*a^6*b^4*d^3*e^6 + 504*A*a^5*b^5*d^3*e^6 - 144*B*a^7*b^3*d^2*e^7 - 252*A*a^6*b^4*d^2*e^7 + 27*B*a^8*b^2*d*e^8 + 72*A*a^7*b^3*d*e^8 - 2*B*a^9*b*e^9 - 9*A*a^8*b^2*e^9)*e^(-12)*log(abs(x*e + d)) + 1/504*(56*B*b^10*x^9*e^24 - 189*B*b^10*d*x^8*e^23 + 432*B*b^10*d^2*x^7*e^22 - 840*B*b^10*d^3*x^6*e^21 + 1512*B*b^10*d^4*x^5*e^20 - 2646*B*b^10*d^5*x^4*e^19 + 4704*B*b^10*d^6*x^3*e^18 - 9072*B*b^10*d^7*x^2*e^17 + 22680*B*b^10*d^8*x*e^16 + 630*B*a*b^9*x^8*e^24 + 63*A*b^10*x^8*e^24 - 2160*B*a*b^9*d*x^7*e^23 - 216*A*b^10*d*x^7*e^23 + 5040*B*a*b^9*d^2*x^6*e^22 + 504*A*b^10*d^2*x^6*e^22 - 10080*B*a*b^9*d^3*x^5*e^21 - 1008*A*b^10*d^3*x^5*e^21 + 18900*B*a*b^9*d^4*x^4*e^20 + 1890*A*b^10*d^4*x^4*e^20 - 35280*B*a*b^9*d^5*x^3*e^19 - 3528*A*b^10*d^5*x^3*e^19 + 70560*B*a*b^9*d^6*x^2*e^18 + 7056*A*b^10*d^6*x^2*e^18 - 181440*B*a*b^9*d^7*x*e^17 - 18144*A*b^10*d^7*x*e^17 + 3240*B*a^2*b^8*x^7*e^24 + 720*A*a*b^9*x^7*e^24 - 11340*B*a^2*b^8*d*x^6*e^23 - 2520*A*a*b^9*d*x^6*e^23 + 27216*B*a^2*b^8*d^2*x^5*e^22 + 6048*A*a*b^9*d^2*x^5*e^22 - 56700*B*a^2*b^8*d^3*x^4*e^21 - 12600*A*a*b^9*d^3*x^4*e^21 + 113400*B*a^2*b^8*d^4*x^3*e^20 + 25200*A*a*b^9*d^4*x^3*e^20 - 238140*B*a^2*b^8*d^5*x^2*e^19 - 52920*A*a*b^9*d^5*x^2*e^19 + 635040*B*a^2*b^8*d^6*x*e^18 + 141120*A*a*b^9*d^6*x*e^18 + 10080*B*a^3*b^7*x^6*e^24 + 3780*A*a^2*b^8*x^6*e^24 - 36288*B*a^3*b^7*d*x^5*e^23 - 13608*A*a^2*b^8*d*x^5*e^23 + 90720*B*a^3*b^7*d^2*x^4*e^22 + 34020*A*a^2*b^8*d^2*x^4*e^22 - 201600*B*a^3*b^7*d^3*x^3*e^21 - 75600*A*a^2*b^8*d^3*x^3*e^21 + 453600*B*a^3*b^7*d^4*x^2*e^20 + 170100*A*a^2*b^8*d^4*x^2*e^20 - 1270080*B*a^3*b^7*d^5*x*e^19 - 476280*A*a^2*b^8*d^5*x*e^19 + 21168*B*a^4*b^6*x^5*e^24 + 12096*A*a^3*b^7*x^5*e^24 - 79380*B*a^4*b^6*d*x^4*e^23 - 45360*A*a^3*b^7*d*x^4*e^23 + 211680*B*a^4*b^6*d^2*x^3*e^22 + 120960*A*a^3*b^7*d^2*x^3*e^22 - 529200*B*a^4*b^6*d^3*x^2*e^21 - 302400*A*a^3*b^7*d^3*x^2*e^21 + 1587600*B*a^4*b^6*d^4*x*e^20 + 907200*A*a^3*b^7*d^4*x*e^20 + 31752*B*a^5*b^5*x^4*e^24 + 26460*A*a^4*b^6*x^4*e^24 - 127008*B*a^5*b^5*d*x^3*e^23 - 105840*A*a^4*b^6*d*x^3*e^23 + 381024*B*a^5*b^5*d^2*x^2*e^22 + 317520*A*a^4*b^6*d^2*x^2*e^22 - 1270080*B*a^5*b^5*d^3*x*e^21 - 1058400*A*a^4*b^6*d^3*x*e^21 + 35280*B*a^6*b^4*x^3*e^24 + 42336*A*a^5*b^5*x^3*e^24 - 158760*B*a^6*b^4*d*x^2*e^23 - 190512*A*a^5*b^5*d*x^2*e^23 + 635040*B*a^6*b^4*d^2*x*e^22 + 762048*A*a^5*b^5*d^2*x*e^22 + 30240*B*a^7*b^3*x^2*e^24 + 52920*A*a^6*b^4*x^2*e^24 - 181440*B*a^7*b^3*d*x*e^23 - 317520*A*a^6*b^4*d*x*e^23 + 22680*B*a^8*b^2*x*e^24 + 60480*A*a^7*b^3*x*e^24)*e^(-27) - 1/2*(21*B*b^10*d^11 - 190*B*a*b^9*d^10*e - 19*A*b^10*d^10*e + 765*B*a^2*b^8*d^9*e^2 + 170*A*a*b^9*d^9*e^2 - 1800*B*a^3*b^7*d^8*e^3 - 675*A*a^2*b^8*d^8*e^3 + 2730*B*a^4*b^6*d^7*e^4 + 1560*A*a^3*b^7*d^7*e^4 - 2772*B*a^5*b^5*d^6*e^5 - 2310*A*a^4*b^6*d^6*e^5 + 1890*B*a^6*b^4*d^5*e^6 + 2268*A*a^5*b^5*d^5*e^6 - 840*B*a^7*b^3*d^4*e^7 - 1470*A*a^6*b^4*d^4*e^7 + 225*B*a^8*b^2*d^3*e^8 + 600*A*a^7*b^3*d^3*e^8 - 30*B*a^9*b*d^2*e^9 - 135*A*a^8*b^2*d^2*e^9 + B*a^10*d*e^10 + 10*A*a^9*b*d*e^10 + A*a^10*e^11 + 2*(11*B*b^10*d^10*e - 100*B*a*b^9*d^9*e^2 - 10*A*b^10*d^9*e^2 + 405*B*a^2*b^8*d^8*e^3 + 90*A*a*b^9*d^8*e^3 - 960*B*a^3*b^7*d^7*e^4 - 360*A*a^2*b^8*d^7*e^4 + 1470*B*a^4*b^6*d^6*e^5 + 840*A*a^3*b^7*d^6*e^5 - 1512*B*a^5*b^5*d^5*e^6 - 1260*A*a^4*b^6*d^5*e^6 + 1050*B*a^6*b^4*d^4*e^7 + 1260*A*a^5*b^5*d^4*e^7 - 480*B*a^7*b^3*d^3*e^8 - 840*A*a^6*b^4*d^3*e^8 + 135*B*a^8*b^2*d^2*e^9 + 360*A*a^7*b^3*d^2*e^9 - 20*B*a^9*b*d*e^10 - 90*A*a^8*b^2*d*e^10 + B*a^10*e^11 + 10*A*a^9*b*e^11)*x)*e^(-12)/(x*e + d)^2","B",0
1092,1,1964,0,1.303034," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^4,x, algorithm=""giac"")","15 \, {\left(11 \, B b^{10} d^{8} - 80 \, B a b^{9} d^{7} e - 8 \, A b^{10} d^{7} e + 252 \, B a^{2} b^{8} d^{6} e^{2} + 56 \, A a b^{9} d^{6} e^{2} - 448 \, B a^{3} b^{7} d^{5} e^{3} - 168 \, A a^{2} b^{8} d^{5} e^{3} + 490 \, B a^{4} b^{6} d^{4} e^{4} + 280 \, A a^{3} b^{7} d^{4} e^{4} - 336 \, B a^{5} b^{5} d^{3} e^{5} - 280 \, A a^{4} b^{6} d^{3} e^{5} + 140 \, B a^{6} b^{4} d^{2} e^{6} + 168 \, A a^{5} b^{5} d^{2} e^{6} - 32 \, B a^{7} b^{3} d e^{7} - 56 \, A a^{6} b^{4} d e^{7} + 3 \, B a^{8} b^{2} e^{8} + 8 \, A a^{7} b^{3} e^{8}\right)} e^{\left(-12\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{168} \, {\left(21 \, B b^{10} x^{8} e^{28} - 96 \, B b^{10} d x^{7} e^{27} + 280 \, B b^{10} d^{2} x^{6} e^{26} - 672 \, B b^{10} d^{3} x^{5} e^{25} + 1470 \, B b^{10} d^{4} x^{4} e^{24} - 3136 \, B b^{10} d^{5} x^{3} e^{23} + 7056 \, B b^{10} d^{6} x^{2} e^{22} - 20160 \, B b^{10} d^{7} x e^{21} + 240 \, B a b^{9} x^{7} e^{28} + 24 \, A b^{10} x^{7} e^{28} - 1120 \, B a b^{9} d x^{6} e^{27} - 112 \, A b^{10} d x^{6} e^{27} + 3360 \, B a b^{9} d^{2} x^{5} e^{26} + 336 \, A b^{10} d^{2} x^{5} e^{26} - 8400 \, B a b^{9} d^{3} x^{4} e^{25} - 840 \, A b^{10} d^{3} x^{4} e^{25} + 19600 \, B a b^{9} d^{4} x^{3} e^{24} + 1960 \, A b^{10} d^{4} x^{3} e^{24} - 47040 \, B a b^{9} d^{5} x^{2} e^{23} - 4704 \, A b^{10} d^{5} x^{2} e^{23} + 141120 \, B a b^{9} d^{6} x e^{22} + 14112 \, A b^{10} d^{6} x e^{22} + 1260 \, B a^{2} b^{8} x^{6} e^{28} + 280 \, A a b^{9} x^{6} e^{28} - 6048 \, B a^{2} b^{8} d x^{5} e^{27} - 1344 \, A a b^{9} d x^{5} e^{27} + 18900 \, B a^{2} b^{8} d^{2} x^{4} e^{26} + 4200 \, A a b^{9} d^{2} x^{4} e^{26} - 50400 \, B a^{2} b^{8} d^{3} x^{3} e^{25} - 11200 \, A a b^{9} d^{3} x^{3} e^{25} + 132300 \, B a^{2} b^{8} d^{4} x^{2} e^{24} + 29400 \, A a b^{9} d^{4} x^{2} e^{24} - 423360 \, B a^{2} b^{8} d^{5} x e^{23} - 94080 \, A a b^{9} d^{5} x e^{23} + 4032 \, B a^{3} b^{7} x^{5} e^{28} + 1512 \, A a^{2} b^{8} x^{5} e^{28} - 20160 \, B a^{3} b^{7} d x^{4} e^{27} - 7560 \, A a^{2} b^{8} d x^{4} e^{27} + 67200 \, B a^{3} b^{7} d^{2} x^{3} e^{26} + 25200 \, A a^{2} b^{8} d^{2} x^{3} e^{26} - 201600 \, B a^{3} b^{7} d^{3} x^{2} e^{25} - 75600 \, A a^{2} b^{8} d^{3} x^{2} e^{25} + 705600 \, B a^{3} b^{7} d^{4} x e^{24} + 264600 \, A a^{2} b^{8} d^{4} x e^{24} + 8820 \, B a^{4} b^{6} x^{4} e^{28} + 5040 \, A a^{3} b^{7} x^{4} e^{28} - 47040 \, B a^{4} b^{6} d x^{3} e^{27} - 26880 \, A a^{3} b^{7} d x^{3} e^{27} + 176400 \, B a^{4} b^{6} d^{2} x^{2} e^{26} + 100800 \, A a^{3} b^{7} d^{2} x^{2} e^{26} - 705600 \, B a^{4} b^{6} d^{3} x e^{25} - 403200 \, A a^{3} b^{7} d^{3} x e^{25} + 14112 \, B a^{5} b^{5} x^{3} e^{28} + 11760 \, A a^{4} b^{6} x^{3} e^{28} - 84672 \, B a^{5} b^{5} d x^{2} e^{27} - 70560 \, A a^{4} b^{6} d x^{2} e^{27} + 423360 \, B a^{5} b^{5} d^{2} x e^{26} + 352800 \, A a^{4} b^{6} d^{2} x e^{26} + 17640 \, B a^{6} b^{4} x^{2} e^{28} + 21168 \, A a^{5} b^{5} x^{2} e^{28} - 141120 \, B a^{6} b^{4} d x e^{27} - 169344 \, A a^{5} b^{5} d x e^{27} + 20160 \, B a^{7} b^{3} x e^{28} + 35280 \, A a^{6} b^{4} x e^{28}\right)} e^{\left(-32\right)} + \frac{{\left(299 \, B b^{10} d^{11} - 2420 \, B a b^{9} d^{10} e - 242 \, A b^{10} d^{10} e + 8595 \, B a^{2} b^{8} d^{9} e^{2} + 1910 \, A a b^{9} d^{9} e^{2} - 17520 \, B a^{3} b^{7} d^{8} e^{3} - 6570 \, A a^{2} b^{8} d^{8} e^{3} + 22470 \, B a^{4} b^{6} d^{7} e^{4} + 12840 \, A a^{3} b^{7} d^{7} e^{4} - 18648 \, B a^{5} b^{5} d^{6} e^{5} - 15540 \, A a^{4} b^{6} d^{6} e^{5} + 9870 \, B a^{6} b^{4} d^{5} e^{6} + 11844 \, A a^{5} b^{5} d^{5} e^{6} - 3120 \, B a^{7} b^{3} d^{4} e^{7} - 5460 \, A a^{6} b^{4} d^{4} e^{7} + 495 \, B a^{8} b^{2} d^{3} e^{8} + 1320 \, A a^{7} b^{3} d^{3} e^{8} - 20 \, B a^{9} b d^{2} e^{9} - 90 \, A a^{8} b^{2} d^{2} e^{9} - B a^{10} d e^{10} - 10 \, A a^{9} b d e^{10} - 2 \, A a^{10} e^{11} + 30 \, {\left(11 \, B b^{10} d^{9} e^{2} - 90 \, B a b^{9} d^{8} e^{3} - 9 \, A b^{10} d^{8} e^{3} + 324 \, B a^{2} b^{8} d^{7} e^{4} + 72 \, A a b^{9} d^{7} e^{4} - 672 \, B a^{3} b^{7} d^{6} e^{5} - 252 \, A a^{2} b^{8} d^{6} e^{5} + 882 \, B a^{4} b^{6} d^{5} e^{6} + 504 \, A a^{3} b^{7} d^{5} e^{6} - 756 \, B a^{5} b^{5} d^{4} e^{7} - 630 \, A a^{4} b^{6} d^{4} e^{7} + 420 \, B a^{6} b^{4} d^{3} e^{8} + 504 \, A a^{5} b^{5} d^{3} e^{8} - 144 \, B a^{7} b^{3} d^{2} e^{9} - 252 \, A a^{6} b^{4} d^{2} e^{9} + 27 \, B a^{8} b^{2} d e^{10} + 72 \, A a^{7} b^{3} d e^{10} - 2 \, B a^{9} b e^{11} - 9 \, A a^{8} b^{2} e^{11}\right)} x^{2} + 3 \, {\left(209 \, B b^{10} d^{10} e - 1700 \, B a b^{9} d^{9} e^{2} - 170 \, A b^{10} d^{9} e^{2} + 6075 \, B a^{2} b^{8} d^{8} e^{3} + 1350 \, A a b^{9} d^{8} e^{3} - 12480 \, B a^{3} b^{7} d^{7} e^{4} - 4680 \, A a^{2} b^{8} d^{7} e^{4} + 16170 \, B a^{4} b^{6} d^{6} e^{5} + 9240 \, A a^{3} b^{7} d^{6} e^{5} - 13608 \, B a^{5} b^{5} d^{5} e^{6} - 11340 \, A a^{4} b^{6} d^{5} e^{6} + 7350 \, B a^{6} b^{4} d^{4} e^{7} + 8820 \, A a^{5} b^{5} d^{4} e^{7} - 2400 \, B a^{7} b^{3} d^{3} e^{8} - 4200 \, A a^{6} b^{4} d^{3} e^{8} + 405 \, B a^{8} b^{2} d^{2} e^{9} + 1080 \, A a^{7} b^{3} d^{2} e^{9} - 20 \, B a^{9} b d e^{10} - 90 \, A a^{8} b^{2} d e^{10} - B a^{10} e^{11} - 10 \, A a^{9} b e^{11}\right)} x\right)} e^{\left(-12\right)}}{6 \, {\left(x e + d\right)}^{3}}"," ",0,"15*(11*B*b^10*d^8 - 80*B*a*b^9*d^7*e - 8*A*b^10*d^7*e + 252*B*a^2*b^8*d^6*e^2 + 56*A*a*b^9*d^6*e^2 - 448*B*a^3*b^7*d^5*e^3 - 168*A*a^2*b^8*d^5*e^3 + 490*B*a^4*b^6*d^4*e^4 + 280*A*a^3*b^7*d^4*e^4 - 336*B*a^5*b^5*d^3*e^5 - 280*A*a^4*b^6*d^3*e^5 + 140*B*a^6*b^4*d^2*e^6 + 168*A*a^5*b^5*d^2*e^6 - 32*B*a^7*b^3*d*e^7 - 56*A*a^6*b^4*d*e^7 + 3*B*a^8*b^2*e^8 + 8*A*a^7*b^3*e^8)*e^(-12)*log(abs(x*e + d)) + 1/168*(21*B*b^10*x^8*e^28 - 96*B*b^10*d*x^7*e^27 + 280*B*b^10*d^2*x^6*e^26 - 672*B*b^10*d^3*x^5*e^25 + 1470*B*b^10*d^4*x^4*e^24 - 3136*B*b^10*d^5*x^3*e^23 + 7056*B*b^10*d^6*x^2*e^22 - 20160*B*b^10*d^7*x*e^21 + 240*B*a*b^9*x^7*e^28 + 24*A*b^10*x^7*e^28 - 1120*B*a*b^9*d*x^6*e^27 - 112*A*b^10*d*x^6*e^27 + 3360*B*a*b^9*d^2*x^5*e^26 + 336*A*b^10*d^2*x^5*e^26 - 8400*B*a*b^9*d^3*x^4*e^25 - 840*A*b^10*d^3*x^4*e^25 + 19600*B*a*b^9*d^4*x^3*e^24 + 1960*A*b^10*d^4*x^3*e^24 - 47040*B*a*b^9*d^5*x^2*e^23 - 4704*A*b^10*d^5*x^2*e^23 + 141120*B*a*b^9*d^6*x*e^22 + 14112*A*b^10*d^6*x*e^22 + 1260*B*a^2*b^8*x^6*e^28 + 280*A*a*b^9*x^6*e^28 - 6048*B*a^2*b^8*d*x^5*e^27 - 1344*A*a*b^9*d*x^5*e^27 + 18900*B*a^2*b^8*d^2*x^4*e^26 + 4200*A*a*b^9*d^2*x^4*e^26 - 50400*B*a^2*b^8*d^3*x^3*e^25 - 11200*A*a*b^9*d^3*x^3*e^25 + 132300*B*a^2*b^8*d^4*x^2*e^24 + 29400*A*a*b^9*d^4*x^2*e^24 - 423360*B*a^2*b^8*d^5*x*e^23 - 94080*A*a*b^9*d^5*x*e^23 + 4032*B*a^3*b^7*x^5*e^28 + 1512*A*a^2*b^8*x^5*e^28 - 20160*B*a^3*b^7*d*x^4*e^27 - 7560*A*a^2*b^8*d*x^4*e^27 + 67200*B*a^3*b^7*d^2*x^3*e^26 + 25200*A*a^2*b^8*d^2*x^3*e^26 - 201600*B*a^3*b^7*d^3*x^2*e^25 - 75600*A*a^2*b^8*d^3*x^2*e^25 + 705600*B*a^3*b^7*d^4*x*e^24 + 264600*A*a^2*b^8*d^4*x*e^24 + 8820*B*a^4*b^6*x^4*e^28 + 5040*A*a^3*b^7*x^4*e^28 - 47040*B*a^4*b^6*d*x^3*e^27 - 26880*A*a^3*b^7*d*x^3*e^27 + 176400*B*a^4*b^6*d^2*x^2*e^26 + 100800*A*a^3*b^7*d^2*x^2*e^26 - 705600*B*a^4*b^6*d^3*x*e^25 - 403200*A*a^3*b^7*d^3*x*e^25 + 14112*B*a^5*b^5*x^3*e^28 + 11760*A*a^4*b^6*x^3*e^28 - 84672*B*a^5*b^5*d*x^2*e^27 - 70560*A*a^4*b^6*d*x^2*e^27 + 423360*B*a^5*b^5*d^2*x*e^26 + 352800*A*a^4*b^6*d^2*x*e^26 + 17640*B*a^6*b^4*x^2*e^28 + 21168*A*a^5*b^5*x^2*e^28 - 141120*B*a^6*b^4*d*x*e^27 - 169344*A*a^5*b^5*d*x*e^27 + 20160*B*a^7*b^3*x*e^28 + 35280*A*a^6*b^4*x*e^28)*e^(-32) + 1/6*(299*B*b^10*d^11 - 2420*B*a*b^9*d^10*e - 242*A*b^10*d^10*e + 8595*B*a^2*b^8*d^9*e^2 + 1910*A*a*b^9*d^9*e^2 - 17520*B*a^3*b^7*d^8*e^3 - 6570*A*a^2*b^8*d^8*e^3 + 22470*B*a^4*b^6*d^7*e^4 + 12840*A*a^3*b^7*d^7*e^4 - 18648*B*a^5*b^5*d^6*e^5 - 15540*A*a^4*b^6*d^6*e^5 + 9870*B*a^6*b^4*d^5*e^6 + 11844*A*a^5*b^5*d^5*e^6 - 3120*B*a^7*b^3*d^4*e^7 - 5460*A*a^6*b^4*d^4*e^7 + 495*B*a^8*b^2*d^3*e^8 + 1320*A*a^7*b^3*d^3*e^8 - 20*B*a^9*b*d^2*e^9 - 90*A*a^8*b^2*d^2*e^9 - B*a^10*d*e^10 - 10*A*a^9*b*d*e^10 - 2*A*a^10*e^11 + 30*(11*B*b^10*d^9*e^2 - 90*B*a*b^9*d^8*e^3 - 9*A*b^10*d^8*e^3 + 324*B*a^2*b^8*d^7*e^4 + 72*A*a*b^9*d^7*e^4 - 672*B*a^3*b^7*d^6*e^5 - 252*A*a^2*b^8*d^6*e^5 + 882*B*a^4*b^6*d^5*e^6 + 504*A*a^3*b^7*d^5*e^6 - 756*B*a^5*b^5*d^4*e^7 - 630*A*a^4*b^6*d^4*e^7 + 420*B*a^6*b^4*d^3*e^8 + 504*A*a^5*b^5*d^3*e^8 - 144*B*a^7*b^3*d^2*e^9 - 252*A*a^6*b^4*d^2*e^9 + 27*B*a^8*b^2*d*e^10 + 72*A*a^7*b^3*d*e^10 - 2*B*a^9*b*e^11 - 9*A*a^8*b^2*e^11)*x^2 + 3*(209*B*b^10*d^10*e - 1700*B*a*b^9*d^9*e^2 - 170*A*b^10*d^9*e^2 + 6075*B*a^2*b^8*d^8*e^3 + 1350*A*a*b^9*d^8*e^3 - 12480*B*a^3*b^7*d^7*e^4 - 4680*A*a^2*b^8*d^7*e^4 + 16170*B*a^4*b^6*d^6*e^5 + 9240*A*a^3*b^7*d^6*e^5 - 13608*B*a^5*b^5*d^5*e^6 - 11340*A*a^4*b^6*d^5*e^6 + 7350*B*a^6*b^4*d^4*e^7 + 8820*A*a^5*b^5*d^4*e^7 - 2400*B*a^7*b^3*d^3*e^8 - 4200*A*a^6*b^4*d^3*e^8 + 405*B*a^8*b^2*d^2*e^9 + 1080*A*a^7*b^3*d^2*e^9 - 20*B*a^9*b*d*e^10 - 90*A*a^8*b^2*d*e^10 - B*a^10*e^11 - 10*A*a^9*b*e^11)*x)*e^(-12)/(x*e + d)^3","B",0
1093,1,2513,0,1.473707," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^5,x, algorithm=""giac"")","\frac{1}{84} \, {\left(12 \, B b^{10} - \frac{14 \, {\left(11 \, B b^{10} d e - 10 \, B a b^{9} e^{2} - A b^{10} e^{2}\right)} e^{\left(-1\right)}}{x e + d} + \frac{84 \, {\left(11 \, B b^{10} d^{2} e^{2} - 20 \, B a b^{9} d e^{3} - 2 \, A b^{10} d e^{3} + 9 \, B a^{2} b^{8} e^{4} + 2 \, A a b^{9} e^{4}\right)} e^{\left(-2\right)}}{{\left(x e + d\right)}^{2}} - \frac{315 \, {\left(11 \, B b^{10} d^{3} e^{3} - 30 \, B a b^{9} d^{2} e^{4} - 3 \, A b^{10} d^{2} e^{4} + 27 \, B a^{2} b^{8} d e^{5} + 6 \, A a b^{9} d e^{5} - 8 \, B a^{3} b^{7} e^{6} - 3 \, A a^{2} b^{8} e^{6}\right)} e^{\left(-3\right)}}{{\left(x e + d\right)}^{3}} + \frac{840 \, {\left(11 \, B b^{10} d^{4} e^{4} - 40 \, B a b^{9} d^{3} e^{5} - 4 \, A b^{10} d^{3} e^{5} + 54 \, B a^{2} b^{8} d^{2} e^{6} + 12 \, A a b^{9} d^{2} e^{6} - 32 \, B a^{3} b^{7} d e^{7} - 12 \, A a^{2} b^{8} d e^{7} + 7 \, B a^{4} b^{6} e^{8} + 4 \, A a^{3} b^{7} e^{8}\right)} e^{\left(-4\right)}}{{\left(x e + d\right)}^{4}} - \frac{1764 \, {\left(11 \, B b^{10} d^{5} e^{5} - 50 \, B a b^{9} d^{4} e^{6} - 5 \, A b^{10} d^{4} e^{6} + 90 \, B a^{2} b^{8} d^{3} e^{7} + 20 \, A a b^{9} d^{3} e^{7} - 80 \, B a^{3} b^{7} d^{2} e^{8} - 30 \, A a^{2} b^{8} d^{2} e^{8} + 35 \, B a^{4} b^{6} d e^{9} + 20 \, A a^{3} b^{7} d e^{9} - 6 \, B a^{5} b^{5} e^{10} - 5 \, A a^{4} b^{6} e^{10}\right)} e^{\left(-5\right)}}{{\left(x e + d\right)}^{5}} + \frac{3528 \, {\left(11 \, B b^{10} d^{6} e^{6} - 60 \, B a b^{9} d^{5} e^{7} - 6 \, A b^{10} d^{5} e^{7} + 135 \, B a^{2} b^{8} d^{4} e^{8} + 30 \, A a b^{9} d^{4} e^{8} - 160 \, B a^{3} b^{7} d^{3} e^{9} - 60 \, A a^{2} b^{8} d^{3} e^{9} + 105 \, B a^{4} b^{6} d^{2} e^{10} + 60 \, A a^{3} b^{7} d^{2} e^{10} - 36 \, B a^{5} b^{5} d e^{11} - 30 \, A a^{4} b^{6} d e^{11} + 5 \, B a^{6} b^{4} e^{12} + 6 \, A a^{5} b^{5} e^{12}\right)} e^{\left(-6\right)}}{{\left(x e + d\right)}^{6}}\right)} {\left(x e + d\right)}^{7} e^{\left(-12\right)} + 30 \, {\left(11 \, B b^{10} d^{7} - 70 \, B a b^{9} d^{6} e - 7 \, A b^{10} d^{6} e + 189 \, B a^{2} b^{8} d^{5} e^{2} + 42 \, A a b^{9} d^{5} e^{2} - 280 \, B a^{3} b^{7} d^{4} e^{3} - 105 \, A a^{2} b^{8} d^{4} e^{3} + 245 \, B a^{4} b^{6} d^{3} e^{4} + 140 \, A a^{3} b^{7} d^{3} e^{4} - 126 \, B a^{5} b^{5} d^{2} e^{5} - 105 \, A a^{4} b^{6} d^{2} e^{5} + 35 \, B a^{6} b^{4} d e^{6} + 42 \, A a^{5} b^{5} d e^{6} - 4 \, B a^{7} b^{3} e^{7} - 7 \, A a^{6} b^{4} e^{7}\right)} e^{\left(-12\right)} \log\left(\frac{{\left| x e + d \right|} e^{\left(-1\right)}}{{\left(x e + d\right)}^{2}}\right) - \frac{1}{12} \, {\left(\frac{1980 \, B b^{10} d^{8} e^{64}}{x e + d} - \frac{330 \, B b^{10} d^{9} e^{64}}{{\left(x e + d\right)}^{2}} + \frac{44 \, B b^{10} d^{10} e^{64}}{{\left(x e + d\right)}^{3}} - \frac{3 \, B b^{10} d^{11} e^{64}}{{\left(x e + d\right)}^{4}} - \frac{14400 \, B a b^{9} d^{7} e^{65}}{x e + d} - \frac{1440 \, A b^{10} d^{7} e^{65}}{x e + d} + \frac{2700 \, B a b^{9} d^{8} e^{65}}{{\left(x e + d\right)}^{2}} + \frac{270 \, A b^{10} d^{8} e^{65}}{{\left(x e + d\right)}^{2}} - \frac{400 \, B a b^{9} d^{9} e^{65}}{{\left(x e + d\right)}^{3}} - \frac{40 \, A b^{10} d^{9} e^{65}}{{\left(x e + d\right)}^{3}} + \frac{30 \, B a b^{9} d^{10} e^{65}}{{\left(x e + d\right)}^{4}} + \frac{3 \, A b^{10} d^{10} e^{65}}{{\left(x e + d\right)}^{4}} + \frac{45360 \, B a^{2} b^{8} d^{6} e^{66}}{x e + d} + \frac{10080 \, A a b^{9} d^{6} e^{66}}{x e + d} - \frac{9720 \, B a^{2} b^{8} d^{7} e^{66}}{{\left(x e + d\right)}^{2}} - \frac{2160 \, A a b^{9} d^{7} e^{66}}{{\left(x e + d\right)}^{2}} + \frac{1620 \, B a^{2} b^{8} d^{8} e^{66}}{{\left(x e + d\right)}^{3}} + \frac{360 \, A a b^{9} d^{8} e^{66}}{{\left(x e + d\right)}^{3}} - \frac{135 \, B a^{2} b^{8} d^{9} e^{66}}{{\left(x e + d\right)}^{4}} - \frac{30 \, A a b^{9} d^{9} e^{66}}{{\left(x e + d\right)}^{4}} - \frac{80640 \, B a^{3} b^{7} d^{5} e^{67}}{x e + d} - \frac{30240 \, A a^{2} b^{8} d^{5} e^{67}}{x e + d} + \frac{20160 \, B a^{3} b^{7} d^{6} e^{67}}{{\left(x e + d\right)}^{2}} + \frac{7560 \, A a^{2} b^{8} d^{6} e^{67}}{{\left(x e + d\right)}^{2}} - \frac{3840 \, B a^{3} b^{7} d^{7} e^{67}}{{\left(x e + d\right)}^{3}} - \frac{1440 \, A a^{2} b^{8} d^{7} e^{67}}{{\left(x e + d\right)}^{3}} + \frac{360 \, B a^{3} b^{7} d^{8} e^{67}}{{\left(x e + d\right)}^{4}} + \frac{135 \, A a^{2} b^{8} d^{8} e^{67}}{{\left(x e + d\right)}^{4}} + \frac{88200 \, B a^{4} b^{6} d^{4} e^{68}}{x e + d} + \frac{50400 \, A a^{3} b^{7} d^{4} e^{68}}{x e + d} - \frac{26460 \, B a^{4} b^{6} d^{5} e^{68}}{{\left(x e + d\right)}^{2}} - \frac{15120 \, A a^{3} b^{7} d^{5} e^{68}}{{\left(x e + d\right)}^{2}} + \frac{5880 \, B a^{4} b^{6} d^{6} e^{68}}{{\left(x e + d\right)}^{3}} + \frac{3360 \, A a^{3} b^{7} d^{6} e^{68}}{{\left(x e + d\right)}^{3}} - \frac{630 \, B a^{4} b^{6} d^{7} e^{68}}{{\left(x e + d\right)}^{4}} - \frac{360 \, A a^{3} b^{7} d^{7} e^{68}}{{\left(x e + d\right)}^{4}} - \frac{60480 \, B a^{5} b^{5} d^{3} e^{69}}{x e + d} - \frac{50400 \, A a^{4} b^{6} d^{3} e^{69}}{x e + d} + \frac{22680 \, B a^{5} b^{5} d^{4} e^{69}}{{\left(x e + d\right)}^{2}} + \frac{18900 \, A a^{4} b^{6} d^{4} e^{69}}{{\left(x e + d\right)}^{2}} - \frac{6048 \, B a^{5} b^{5} d^{5} e^{69}}{{\left(x e + d\right)}^{3}} - \frac{5040 \, A a^{4} b^{6} d^{5} e^{69}}{{\left(x e + d\right)}^{3}} + \frac{756 \, B a^{5} b^{5} d^{6} e^{69}}{{\left(x e + d\right)}^{4}} + \frac{630 \, A a^{4} b^{6} d^{6} e^{69}}{{\left(x e + d\right)}^{4}} + \frac{25200 \, B a^{6} b^{4} d^{2} e^{70}}{x e + d} + \frac{30240 \, A a^{5} b^{5} d^{2} e^{70}}{x e + d} - \frac{12600 \, B a^{6} b^{4} d^{3} e^{70}}{{\left(x e + d\right)}^{2}} - \frac{15120 \, A a^{5} b^{5} d^{3} e^{70}}{{\left(x e + d\right)}^{2}} + \frac{4200 \, B a^{6} b^{4} d^{4} e^{70}}{{\left(x e + d\right)}^{3}} + \frac{5040 \, A a^{5} b^{5} d^{4} e^{70}}{{\left(x e + d\right)}^{3}} - \frac{630 \, B a^{6} b^{4} d^{5} e^{70}}{{\left(x e + d\right)}^{4}} - \frac{756 \, A a^{5} b^{5} d^{5} e^{70}}{{\left(x e + d\right)}^{4}} - \frac{5760 \, B a^{7} b^{3} d e^{71}}{x e + d} - \frac{10080 \, A a^{6} b^{4} d e^{71}}{x e + d} + \frac{4320 \, B a^{7} b^{3} d^{2} e^{71}}{{\left(x e + d\right)}^{2}} + \frac{7560 \, A a^{6} b^{4} d^{2} e^{71}}{{\left(x e + d\right)}^{2}} - \frac{1920 \, B a^{7} b^{3} d^{3} e^{71}}{{\left(x e + d\right)}^{3}} - \frac{3360 \, A a^{6} b^{4} d^{3} e^{71}}{{\left(x e + d\right)}^{3}} + \frac{360 \, B a^{7} b^{3} d^{4} e^{71}}{{\left(x e + d\right)}^{4}} + \frac{630 \, A a^{6} b^{4} d^{4} e^{71}}{{\left(x e + d\right)}^{4}} + \frac{540 \, B a^{8} b^{2} e^{72}}{x e + d} + \frac{1440 \, A a^{7} b^{3} e^{72}}{x e + d} - \frac{810 \, B a^{8} b^{2} d e^{72}}{{\left(x e + d\right)}^{2}} - \frac{2160 \, A a^{7} b^{3} d e^{72}}{{\left(x e + d\right)}^{2}} + \frac{540 \, B a^{8} b^{2} d^{2} e^{72}}{{\left(x e + d\right)}^{3}} + \frac{1440 \, A a^{7} b^{3} d^{2} e^{72}}{{\left(x e + d\right)}^{3}} - \frac{135 \, B a^{8} b^{2} d^{3} e^{72}}{{\left(x e + d\right)}^{4}} - \frac{360 \, A a^{7} b^{3} d^{3} e^{72}}{{\left(x e + d\right)}^{4}} + \frac{60 \, B a^{9} b e^{73}}{{\left(x e + d\right)}^{2}} + \frac{270 \, A a^{8} b^{2} e^{73}}{{\left(x e + d\right)}^{2}} - \frac{80 \, B a^{9} b d e^{73}}{{\left(x e + d\right)}^{3}} - \frac{360 \, A a^{8} b^{2} d e^{73}}{{\left(x e + d\right)}^{3}} + \frac{30 \, B a^{9} b d^{2} e^{73}}{{\left(x e + d\right)}^{4}} + \frac{135 \, A a^{8} b^{2} d^{2} e^{73}}{{\left(x e + d\right)}^{4}} + \frac{4 \, B a^{10} e^{74}}{{\left(x e + d\right)}^{3}} + \frac{40 \, A a^{9} b e^{74}}{{\left(x e + d\right)}^{3}} - \frac{3 \, B a^{10} d e^{74}}{{\left(x e + d\right)}^{4}} - \frac{30 \, A a^{9} b d e^{74}}{{\left(x e + d\right)}^{4}} + \frac{3 \, A a^{10} e^{75}}{{\left(x e + d\right)}^{4}}\right)} e^{\left(-76\right)}"," ",0,"1/84*(12*B*b^10 - 14*(11*B*b^10*d*e - 10*B*a*b^9*e^2 - A*b^10*e^2)*e^(-1)/(x*e + d) + 84*(11*B*b^10*d^2*e^2 - 20*B*a*b^9*d*e^3 - 2*A*b^10*d*e^3 + 9*B*a^2*b^8*e^4 + 2*A*a*b^9*e^4)*e^(-2)/(x*e + d)^2 - 315*(11*B*b^10*d^3*e^3 - 30*B*a*b^9*d^2*e^4 - 3*A*b^10*d^2*e^4 + 27*B*a^2*b^8*d*e^5 + 6*A*a*b^9*d*e^5 - 8*B*a^3*b^7*e^6 - 3*A*a^2*b^8*e^6)*e^(-3)/(x*e + d)^3 + 840*(11*B*b^10*d^4*e^4 - 40*B*a*b^9*d^3*e^5 - 4*A*b^10*d^3*e^5 + 54*B*a^2*b^8*d^2*e^6 + 12*A*a*b^9*d^2*e^6 - 32*B*a^3*b^7*d*e^7 - 12*A*a^2*b^8*d*e^7 + 7*B*a^4*b^6*e^8 + 4*A*a^3*b^7*e^8)*e^(-4)/(x*e + d)^4 - 1764*(11*B*b^10*d^5*e^5 - 50*B*a*b^9*d^4*e^6 - 5*A*b^10*d^4*e^6 + 90*B*a^2*b^8*d^3*e^7 + 20*A*a*b^9*d^3*e^7 - 80*B*a^3*b^7*d^2*e^8 - 30*A*a^2*b^8*d^2*e^8 + 35*B*a^4*b^6*d*e^9 + 20*A*a^3*b^7*d*e^9 - 6*B*a^5*b^5*e^10 - 5*A*a^4*b^6*e^10)*e^(-5)/(x*e + d)^5 + 3528*(11*B*b^10*d^6*e^6 - 60*B*a*b^9*d^5*e^7 - 6*A*b^10*d^5*e^7 + 135*B*a^2*b^8*d^4*e^8 + 30*A*a*b^9*d^4*e^8 - 160*B*a^3*b^7*d^3*e^9 - 60*A*a^2*b^8*d^3*e^9 + 105*B*a^4*b^6*d^2*e^10 + 60*A*a^3*b^7*d^2*e^10 - 36*B*a^5*b^5*d*e^11 - 30*A*a^4*b^6*d*e^11 + 5*B*a^6*b^4*e^12 + 6*A*a^5*b^5*e^12)*e^(-6)/(x*e + d)^6)*(x*e + d)^7*e^(-12) + 30*(11*B*b^10*d^7 - 70*B*a*b^9*d^6*e - 7*A*b^10*d^6*e + 189*B*a^2*b^8*d^5*e^2 + 42*A*a*b^9*d^5*e^2 - 280*B*a^3*b^7*d^4*e^3 - 105*A*a^2*b^8*d^4*e^3 + 245*B*a^4*b^6*d^3*e^4 + 140*A*a^3*b^7*d^3*e^4 - 126*B*a^5*b^5*d^2*e^5 - 105*A*a^4*b^6*d^2*e^5 + 35*B*a^6*b^4*d*e^6 + 42*A*a^5*b^5*d*e^6 - 4*B*a^7*b^3*e^7 - 7*A*a^6*b^4*e^7)*e^(-12)*log(abs(x*e + d)*e^(-1)/(x*e + d)^2) - 1/12*(1980*B*b^10*d^8*e^64/(x*e + d) - 330*B*b^10*d^9*e^64/(x*e + d)^2 + 44*B*b^10*d^10*e^64/(x*e + d)^3 - 3*B*b^10*d^11*e^64/(x*e + d)^4 - 14400*B*a*b^9*d^7*e^65/(x*e + d) - 1440*A*b^10*d^7*e^65/(x*e + d) + 2700*B*a*b^9*d^8*e^65/(x*e + d)^2 + 270*A*b^10*d^8*e^65/(x*e + d)^2 - 400*B*a*b^9*d^9*e^65/(x*e + d)^3 - 40*A*b^10*d^9*e^65/(x*e + d)^3 + 30*B*a*b^9*d^10*e^65/(x*e + d)^4 + 3*A*b^10*d^10*e^65/(x*e + d)^4 + 45360*B*a^2*b^8*d^6*e^66/(x*e + d) + 10080*A*a*b^9*d^6*e^66/(x*e + d) - 9720*B*a^2*b^8*d^7*e^66/(x*e + d)^2 - 2160*A*a*b^9*d^7*e^66/(x*e + d)^2 + 1620*B*a^2*b^8*d^8*e^66/(x*e + d)^3 + 360*A*a*b^9*d^8*e^66/(x*e + d)^3 - 135*B*a^2*b^8*d^9*e^66/(x*e + d)^4 - 30*A*a*b^9*d^9*e^66/(x*e + d)^4 - 80640*B*a^3*b^7*d^5*e^67/(x*e + d) - 30240*A*a^2*b^8*d^5*e^67/(x*e + d) + 20160*B*a^3*b^7*d^6*e^67/(x*e + d)^2 + 7560*A*a^2*b^8*d^6*e^67/(x*e + d)^2 - 3840*B*a^3*b^7*d^7*e^67/(x*e + d)^3 - 1440*A*a^2*b^8*d^7*e^67/(x*e + d)^3 + 360*B*a^3*b^7*d^8*e^67/(x*e + d)^4 + 135*A*a^2*b^8*d^8*e^67/(x*e + d)^4 + 88200*B*a^4*b^6*d^4*e^68/(x*e + d) + 50400*A*a^3*b^7*d^4*e^68/(x*e + d) - 26460*B*a^4*b^6*d^5*e^68/(x*e + d)^2 - 15120*A*a^3*b^7*d^5*e^68/(x*e + d)^2 + 5880*B*a^4*b^6*d^6*e^68/(x*e + d)^3 + 3360*A*a^3*b^7*d^6*e^68/(x*e + d)^3 - 630*B*a^4*b^6*d^7*e^68/(x*e + d)^4 - 360*A*a^3*b^7*d^7*e^68/(x*e + d)^4 - 60480*B*a^5*b^5*d^3*e^69/(x*e + d) - 50400*A*a^4*b^6*d^3*e^69/(x*e + d) + 22680*B*a^5*b^5*d^4*e^69/(x*e + d)^2 + 18900*A*a^4*b^6*d^4*e^69/(x*e + d)^2 - 6048*B*a^5*b^5*d^5*e^69/(x*e + d)^3 - 5040*A*a^4*b^6*d^5*e^69/(x*e + d)^3 + 756*B*a^5*b^5*d^6*e^69/(x*e + d)^4 + 630*A*a^4*b^6*d^6*e^69/(x*e + d)^4 + 25200*B*a^6*b^4*d^2*e^70/(x*e + d) + 30240*A*a^5*b^5*d^2*e^70/(x*e + d) - 12600*B*a^6*b^4*d^3*e^70/(x*e + d)^2 - 15120*A*a^5*b^5*d^3*e^70/(x*e + d)^2 + 4200*B*a^6*b^4*d^4*e^70/(x*e + d)^3 + 5040*A*a^5*b^5*d^4*e^70/(x*e + d)^3 - 630*B*a^6*b^4*d^5*e^70/(x*e + d)^4 - 756*A*a^5*b^5*d^5*e^70/(x*e + d)^4 - 5760*B*a^7*b^3*d*e^71/(x*e + d) - 10080*A*a^6*b^4*d*e^71/(x*e + d) + 4320*B*a^7*b^3*d^2*e^71/(x*e + d)^2 + 7560*A*a^6*b^4*d^2*e^71/(x*e + d)^2 - 1920*B*a^7*b^3*d^3*e^71/(x*e + d)^3 - 3360*A*a^6*b^4*d^3*e^71/(x*e + d)^3 + 360*B*a^7*b^3*d^4*e^71/(x*e + d)^4 + 630*A*a^6*b^4*d^4*e^71/(x*e + d)^4 + 540*B*a^8*b^2*e^72/(x*e + d) + 1440*A*a^7*b^3*e^72/(x*e + d) - 810*B*a^8*b^2*d*e^72/(x*e + d)^2 - 2160*A*a^7*b^3*d*e^72/(x*e + d)^2 + 540*B*a^8*b^2*d^2*e^72/(x*e + d)^3 + 1440*A*a^7*b^3*d^2*e^72/(x*e + d)^3 - 135*B*a^8*b^2*d^3*e^72/(x*e + d)^4 - 360*A*a^7*b^3*d^3*e^72/(x*e + d)^4 + 60*B*a^9*b*e^73/(x*e + d)^2 + 270*A*a^8*b^2*e^73/(x*e + d)^2 - 80*B*a^9*b*d*e^73/(x*e + d)^3 - 360*A*a^8*b^2*d*e^73/(x*e + d)^3 + 30*B*a^9*b*d^2*e^73/(x*e + d)^4 + 135*A*a^8*b^2*d^2*e^73/(x*e + d)^4 + 4*B*a^10*e^74/(x*e + d)^3 + 40*A*a^9*b*e^74/(x*e + d)^3 - 3*B*a^10*d*e^74/(x*e + d)^4 - 30*A*a^9*b*d*e^74/(x*e + d)^4 + 3*A*a^10*e^75/(x*e + d)^4)*e^(-76)","B",0
1094,1,1900,0,1.265712," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^6,x, algorithm=""giac"")","42 \, {\left(11 \, B b^{10} d^{6} - 60 \, B a b^{9} d^{5} e - 6 \, A b^{10} d^{5} e + 135 \, B a^{2} b^{8} d^{4} e^{2} + 30 \, A a b^{9} d^{4} e^{2} - 160 \, B a^{3} b^{7} d^{3} e^{3} - 60 \, A a^{2} b^{8} d^{3} e^{3} + 105 \, B a^{4} b^{6} d^{2} e^{4} + 60 \, A a^{3} b^{7} d^{2} e^{4} - 36 \, B a^{5} b^{5} d e^{5} - 30 \, A a^{4} b^{6} d e^{5} + 5 \, B a^{6} b^{4} e^{6} + 6 \, A a^{5} b^{5} e^{6}\right)} e^{\left(-12\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{60} \, {\left(10 \, B b^{10} x^{6} e^{30} - 72 \, B b^{10} d x^{5} e^{29} + 315 \, B b^{10} d^{2} x^{4} e^{28} - 1120 \, B b^{10} d^{3} x^{3} e^{27} + 3780 \, B b^{10} d^{4} x^{2} e^{26} - 15120 \, B b^{10} d^{5} x e^{25} + 120 \, B a b^{9} x^{5} e^{30} + 12 \, A b^{10} x^{5} e^{30} - 900 \, B a b^{9} d x^{4} e^{29} - 90 \, A b^{10} d x^{4} e^{29} + 4200 \, B a b^{9} d^{2} x^{3} e^{28} + 420 \, A b^{10} d^{2} x^{3} e^{28} - 16800 \, B a b^{9} d^{3} x^{2} e^{27} - 1680 \, A b^{10} d^{3} x^{2} e^{27} + 75600 \, B a b^{9} d^{4} x e^{26} + 7560 \, A b^{10} d^{4} x e^{26} + 675 \, B a^{2} b^{8} x^{4} e^{30} + 150 \, A a b^{9} x^{4} e^{30} - 5400 \, B a^{2} b^{8} d x^{3} e^{29} - 1200 \, A a b^{9} d x^{3} e^{29} + 28350 \, B a^{2} b^{8} d^{2} x^{2} e^{28} + 6300 \, A a b^{9} d^{2} x^{2} e^{28} - 151200 \, B a^{2} b^{8} d^{3} x e^{27} - 33600 \, A a b^{9} d^{3} x e^{27} + 2400 \, B a^{3} b^{7} x^{3} e^{30} + 900 \, A a^{2} b^{8} x^{3} e^{30} - 21600 \, B a^{3} b^{7} d x^{2} e^{29} - 8100 \, A a^{2} b^{8} d x^{2} e^{29} + 151200 \, B a^{3} b^{7} d^{2} x e^{28} + 56700 \, A a^{2} b^{8} d^{2} x e^{28} + 6300 \, B a^{4} b^{6} x^{2} e^{30} + 3600 \, A a^{3} b^{7} x^{2} e^{30} - 75600 \, B a^{4} b^{6} d x e^{29} - 43200 \, A a^{3} b^{7} d x e^{29} + 15120 \, B a^{5} b^{5} x e^{30} + 12600 \, A a^{4} b^{6} x e^{30}\right)} e^{\left(-36\right)} + \frac{{\left(15797 \, B b^{10} d^{11} - 97620 \, B a b^{9} d^{10} e - 9762 \, A b^{10} d^{10} e + 253665 \, B a^{2} b^{8} d^{9} e^{2} + 56370 \, A a b^{9} d^{9} e^{2} - 356640 \, B a^{3} b^{7} d^{8} e^{3} - 133740 \, A a^{2} b^{8} d^{8} e^{3} + 289170 \, B a^{4} b^{6} d^{7} e^{4} + 165240 \, A a^{3} b^{7} d^{7} e^{4} - 131544 \, B a^{5} b^{5} d^{6} e^{5} - 109620 \, A a^{4} b^{6} d^{6} e^{5} + 28770 \, B a^{6} b^{4} d^{5} e^{6} + 34524 \, A a^{5} b^{5} d^{5} e^{6} - 1440 \, B a^{7} b^{3} d^{4} e^{7} - 2520 \, A a^{6} b^{4} d^{4} e^{7} - 135 \, B a^{8} b^{2} d^{3} e^{8} - 360 \, A a^{7} b^{3} d^{3} e^{8} - 20 \, B a^{9} b d^{2} e^{9} - 90 \, A a^{8} b^{2} d^{2} e^{9} - 3 \, B a^{10} d e^{10} - 30 \, A a^{9} b d e^{10} - 12 \, A a^{10} e^{11} + 1800 \, {\left(11 \, B b^{10} d^{7} e^{4} - 70 \, B a b^{9} d^{6} e^{5} - 7 \, A b^{10} d^{6} e^{5} + 189 \, B a^{2} b^{8} d^{5} e^{6} + 42 \, A a b^{9} d^{5} e^{6} - 280 \, B a^{3} b^{7} d^{4} e^{7} - 105 \, A a^{2} b^{8} d^{4} e^{7} + 245 \, B a^{4} b^{6} d^{3} e^{8} + 140 \, A a^{3} b^{7} d^{3} e^{8} - 126 \, B a^{5} b^{5} d^{2} e^{9} - 105 \, A a^{4} b^{6} d^{2} e^{9} + 35 \, B a^{6} b^{4} d e^{10} + 42 \, A a^{5} b^{5} d e^{10} - 4 \, B a^{7} b^{3} e^{11} - 7 \, A a^{6} b^{4} e^{11}\right)} x^{4} + 450 \, {\left(165 \, B b^{10} d^{8} e^{3} - 1040 \, B a b^{9} d^{7} e^{4} - 104 \, A b^{10} d^{7} e^{4} + 2772 \, B a^{2} b^{8} d^{6} e^{5} + 616 \, A a b^{9} d^{6} e^{5} - 4032 \, B a^{3} b^{7} d^{5} e^{6} - 1512 \, A a^{2} b^{8} d^{5} e^{6} + 3430 \, B a^{4} b^{6} d^{4} e^{7} + 1960 \, A a^{3} b^{7} d^{4} e^{7} - 1680 \, B a^{5} b^{5} d^{3} e^{8} - 1400 \, A a^{4} b^{6} d^{3} e^{8} + 420 \, B a^{6} b^{4} d^{2} e^{9} + 504 \, A a^{5} b^{5} d^{2} e^{9} - 32 \, B a^{7} b^{3} d e^{10} - 56 \, A a^{6} b^{4} d e^{10} - 3 \, B a^{8} b^{2} e^{11} - 8 \, A a^{7} b^{3} e^{11}\right)} x^{3} + 50 \, {\left(2101 \, B b^{10} d^{9} e^{2} - 13140 \, B a b^{9} d^{8} e^{3} - 1314 \, A b^{10} d^{8} e^{3} + 34668 \, B a^{2} b^{8} d^{7} e^{4} + 7704 \, A a b^{9} d^{7} e^{4} - 49728 \, B a^{3} b^{7} d^{6} e^{5} - 18648 \, A a^{2} b^{8} d^{6} e^{5} + 41454 \, B a^{4} b^{6} d^{5} e^{6} + 23688 \, A a^{3} b^{7} d^{5} e^{6} - 19656 \, B a^{5} b^{5} d^{4} e^{7} - 16380 \, A a^{4} b^{6} d^{4} e^{7} + 4620 \, B a^{6} b^{4} d^{3} e^{8} + 5544 \, A a^{5} b^{5} d^{3} e^{8} - 288 \, B a^{7} b^{3} d^{2} e^{9} - 504 \, A a^{6} b^{4} d^{2} e^{9} - 27 \, B a^{8} b^{2} d e^{10} - 72 \, A a^{7} b^{3} d e^{10} - 4 \, B a^{9} b e^{11} - 18 \, A a^{8} b^{2} e^{11}\right)} x^{2} + 5 \, {\left(13277 \, B b^{10} d^{10} e - 82500 \, B a b^{9} d^{9} e^{2} - 8250 \, A b^{10} d^{9} e^{2} + 215865 \, B a^{2} b^{8} d^{8} e^{3} + 47970 \, A a b^{9} d^{8} e^{3} - 306240 \, B a^{3} b^{7} d^{7} e^{4} - 114840 \, A a^{2} b^{8} d^{7} e^{4} + 251370 \, B a^{4} b^{6} d^{6} e^{5} + 143640 \, A a^{3} b^{7} d^{6} e^{5} - 116424 \, B a^{5} b^{5} d^{5} e^{6} - 97020 \, A a^{4} b^{6} d^{5} e^{6} + 26250 \, B a^{6} b^{4} d^{4} e^{7} + 31500 \, A a^{5} b^{5} d^{4} e^{7} - 1440 \, B a^{7} b^{3} d^{3} e^{8} - 2520 \, A a^{6} b^{4} d^{3} e^{8} - 135 \, B a^{8} b^{2} d^{2} e^{9} - 360 \, A a^{7} b^{3} d^{2} e^{9} - 20 \, B a^{9} b d e^{10} - 90 \, A a^{8} b^{2} d e^{10} - 3 \, B a^{10} e^{11} - 30 \, A a^{9} b e^{11}\right)} x\right)} e^{\left(-12\right)}}{60 \, {\left(x e + d\right)}^{5}}"," ",0,"42*(11*B*b^10*d^6 - 60*B*a*b^9*d^5*e - 6*A*b^10*d^5*e + 135*B*a^2*b^8*d^4*e^2 + 30*A*a*b^9*d^4*e^2 - 160*B*a^3*b^7*d^3*e^3 - 60*A*a^2*b^8*d^3*e^3 + 105*B*a^4*b^6*d^2*e^4 + 60*A*a^3*b^7*d^2*e^4 - 36*B*a^5*b^5*d*e^5 - 30*A*a^4*b^6*d*e^5 + 5*B*a^6*b^4*e^6 + 6*A*a^5*b^5*e^6)*e^(-12)*log(abs(x*e + d)) + 1/60*(10*B*b^10*x^6*e^30 - 72*B*b^10*d*x^5*e^29 + 315*B*b^10*d^2*x^4*e^28 - 1120*B*b^10*d^3*x^3*e^27 + 3780*B*b^10*d^4*x^2*e^26 - 15120*B*b^10*d^5*x*e^25 + 120*B*a*b^9*x^5*e^30 + 12*A*b^10*x^5*e^30 - 900*B*a*b^9*d*x^4*e^29 - 90*A*b^10*d*x^4*e^29 + 4200*B*a*b^9*d^2*x^3*e^28 + 420*A*b^10*d^2*x^3*e^28 - 16800*B*a*b^9*d^3*x^2*e^27 - 1680*A*b^10*d^3*x^2*e^27 + 75600*B*a*b^9*d^4*x*e^26 + 7560*A*b^10*d^4*x*e^26 + 675*B*a^2*b^8*x^4*e^30 + 150*A*a*b^9*x^4*e^30 - 5400*B*a^2*b^8*d*x^3*e^29 - 1200*A*a*b^9*d*x^3*e^29 + 28350*B*a^2*b^8*d^2*x^2*e^28 + 6300*A*a*b^9*d^2*x^2*e^28 - 151200*B*a^2*b^8*d^3*x*e^27 - 33600*A*a*b^9*d^3*x*e^27 + 2400*B*a^3*b^7*x^3*e^30 + 900*A*a^2*b^8*x^3*e^30 - 21600*B*a^3*b^7*d*x^2*e^29 - 8100*A*a^2*b^8*d*x^2*e^29 + 151200*B*a^3*b^7*d^2*x*e^28 + 56700*A*a^2*b^8*d^2*x*e^28 + 6300*B*a^4*b^6*x^2*e^30 + 3600*A*a^3*b^7*x^2*e^30 - 75600*B*a^4*b^6*d*x*e^29 - 43200*A*a^3*b^7*d*x*e^29 + 15120*B*a^5*b^5*x*e^30 + 12600*A*a^4*b^6*x*e^30)*e^(-36) + 1/60*(15797*B*b^10*d^11 - 97620*B*a*b^9*d^10*e - 9762*A*b^10*d^10*e + 253665*B*a^2*b^8*d^9*e^2 + 56370*A*a*b^9*d^9*e^2 - 356640*B*a^3*b^7*d^8*e^3 - 133740*A*a^2*b^8*d^8*e^3 + 289170*B*a^4*b^6*d^7*e^4 + 165240*A*a^3*b^7*d^7*e^4 - 131544*B*a^5*b^5*d^6*e^5 - 109620*A*a^4*b^6*d^6*e^5 + 28770*B*a^6*b^4*d^5*e^6 + 34524*A*a^5*b^5*d^5*e^6 - 1440*B*a^7*b^3*d^4*e^7 - 2520*A*a^6*b^4*d^4*e^7 - 135*B*a^8*b^2*d^3*e^8 - 360*A*a^7*b^3*d^3*e^8 - 20*B*a^9*b*d^2*e^9 - 90*A*a^8*b^2*d^2*e^9 - 3*B*a^10*d*e^10 - 30*A*a^9*b*d*e^10 - 12*A*a^10*e^11 + 1800*(11*B*b^10*d^7*e^4 - 70*B*a*b^9*d^6*e^5 - 7*A*b^10*d^6*e^5 + 189*B*a^2*b^8*d^5*e^6 + 42*A*a*b^9*d^5*e^6 - 280*B*a^3*b^7*d^4*e^7 - 105*A*a^2*b^8*d^4*e^7 + 245*B*a^4*b^6*d^3*e^8 + 140*A*a^3*b^7*d^3*e^8 - 126*B*a^5*b^5*d^2*e^9 - 105*A*a^4*b^6*d^2*e^9 + 35*B*a^6*b^4*d*e^10 + 42*A*a^5*b^5*d*e^10 - 4*B*a^7*b^3*e^11 - 7*A*a^6*b^4*e^11)*x^4 + 450*(165*B*b^10*d^8*e^3 - 1040*B*a*b^9*d^7*e^4 - 104*A*b^10*d^7*e^4 + 2772*B*a^2*b^8*d^6*e^5 + 616*A*a*b^9*d^6*e^5 - 4032*B*a^3*b^7*d^5*e^6 - 1512*A*a^2*b^8*d^5*e^6 + 3430*B*a^4*b^6*d^4*e^7 + 1960*A*a^3*b^7*d^4*e^7 - 1680*B*a^5*b^5*d^3*e^8 - 1400*A*a^4*b^6*d^3*e^8 + 420*B*a^6*b^4*d^2*e^9 + 504*A*a^5*b^5*d^2*e^9 - 32*B*a^7*b^3*d*e^10 - 56*A*a^6*b^4*d*e^10 - 3*B*a^8*b^2*e^11 - 8*A*a^7*b^3*e^11)*x^3 + 50*(2101*B*b^10*d^9*e^2 - 13140*B*a*b^9*d^8*e^3 - 1314*A*b^10*d^8*e^3 + 34668*B*a^2*b^8*d^7*e^4 + 7704*A*a*b^9*d^7*e^4 - 49728*B*a^3*b^7*d^6*e^5 - 18648*A*a^2*b^8*d^6*e^5 + 41454*B*a^4*b^6*d^5*e^6 + 23688*A*a^3*b^7*d^5*e^6 - 19656*B*a^5*b^5*d^4*e^7 - 16380*A*a^4*b^6*d^4*e^7 + 4620*B*a^6*b^4*d^3*e^8 + 5544*A*a^5*b^5*d^3*e^8 - 288*B*a^7*b^3*d^2*e^9 - 504*A*a^6*b^4*d^2*e^9 - 27*B*a^8*b^2*d*e^10 - 72*A*a^7*b^3*d*e^10 - 4*B*a^9*b*e^11 - 18*A*a^8*b^2*e^11)*x^2 + 5*(13277*B*b^10*d^10*e - 82500*B*a*b^9*d^9*e^2 - 8250*A*b^10*d^9*e^2 + 215865*B*a^2*b^8*d^8*e^3 + 47970*A*a*b^9*d^8*e^3 - 306240*B*a^3*b^7*d^7*e^4 - 114840*A*a^2*b^8*d^7*e^4 + 251370*B*a^4*b^6*d^6*e^5 + 143640*A*a^3*b^7*d^6*e^5 - 116424*B*a^5*b^5*d^5*e^6 - 97020*A*a^4*b^6*d^5*e^6 + 26250*B*a^6*b^4*d^4*e^7 + 31500*A*a^5*b^5*d^4*e^7 - 1440*B*a^7*b^3*d^3*e^8 - 2520*A*a^6*b^4*d^3*e^8 - 135*B*a^8*b^2*d^2*e^9 - 360*A*a^7*b^3*d^2*e^9 - 20*B*a^9*b*d*e^10 - 90*A*a^8*b^2*d*e^10 - 3*B*a^10*e^11 - 30*A*a^9*b*e^11)*x)*e^(-12)/(x*e + d)^5","B",0
1095,1,1877,0,1.275174," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^7,x, algorithm=""giac"")","-42 \, {\left(11 \, B b^{10} d^{5} - 50 \, B a b^{9} d^{4} e - 5 \, A b^{10} d^{4} e + 90 \, B a^{2} b^{8} d^{3} e^{2} + 20 \, A a b^{9} d^{3} e^{2} - 80 \, B a^{3} b^{7} d^{2} e^{3} - 30 \, A a^{2} b^{8} d^{2} e^{3} + 35 \, B a^{4} b^{6} d e^{4} + 20 \, A a^{3} b^{7} d e^{4} - 6 \, B a^{5} b^{5} e^{5} - 5 \, A a^{4} b^{6} e^{5}\right)} e^{\left(-12\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{60} \, {\left(12 \, B b^{10} x^{5} e^{28} - 105 \, B b^{10} d x^{4} e^{27} + 560 \, B b^{10} d^{2} x^{3} e^{26} - 2520 \, B b^{10} d^{3} x^{2} e^{25} + 12600 \, B b^{10} d^{4} x e^{24} + 150 \, B a b^{9} x^{4} e^{28} + 15 \, A b^{10} x^{4} e^{28} - 1400 \, B a b^{9} d x^{3} e^{27} - 140 \, A b^{10} d x^{3} e^{27} + 8400 \, B a b^{9} d^{2} x^{2} e^{26} + 840 \, A b^{10} d^{2} x^{2} e^{26} - 50400 \, B a b^{9} d^{3} x e^{25} - 5040 \, A b^{10} d^{3} x e^{25} + 900 \, B a^{2} b^{8} x^{3} e^{28} + 200 \, A a b^{9} x^{3} e^{28} - 9450 \, B a^{2} b^{8} d x^{2} e^{27} - 2100 \, A a b^{9} d x^{2} e^{27} + 75600 \, B a^{2} b^{8} d^{2} x e^{26} + 16800 \, A a b^{9} d^{2} x e^{26} + 3600 \, B a^{3} b^{7} x^{2} e^{28} + 1350 \, A a^{2} b^{8} x^{2} e^{28} - 50400 \, B a^{3} b^{7} d x e^{27} - 18900 \, A a^{2} b^{8} d x e^{27} + 12600 \, B a^{4} b^{6} x e^{28} + 7200 \, A a^{3} b^{7} x e^{28}\right)} e^{\left(-35\right)} - \frac{{\left(20417 \, B b^{10} d^{11} - 106550 \, B a b^{9} d^{10} e - 10655 \, A b^{10} d^{10} e + 225810 \, B a^{2} b^{8} d^{9} e^{2} + 50180 \, A a b^{9} d^{9} e^{2} - 245520 \, B a^{3} b^{7} d^{8} e^{3} - 92070 \, A a^{2} b^{8} d^{8} e^{3} + 140490 \, B a^{4} b^{6} d^{7} e^{4} + 80280 \, A a^{3} b^{7} d^{7} e^{4} - 37044 \, B a^{5} b^{5} d^{6} e^{5} - 30870 \, A a^{4} b^{6} d^{6} e^{5} + 2100 \, B a^{6} b^{4} d^{5} e^{6} + 2520 \, A a^{5} b^{5} d^{5} e^{6} + 240 \, B a^{7} b^{3} d^{4} e^{7} + 420 \, A a^{6} b^{4} d^{4} e^{7} + 45 \, B a^{8} b^{2} d^{3} e^{8} + 120 \, A a^{7} b^{3} d^{3} e^{8} + 10 \, B a^{9} b d^{2} e^{9} + 45 \, A a^{8} b^{2} d^{2} e^{9} + 2 \, B a^{10} d e^{10} + 20 \, A a^{9} b d e^{10} + 10 \, A a^{10} e^{11} + 2520 \, {\left(11 \, B b^{10} d^{6} e^{5} - 60 \, B a b^{9} d^{5} e^{6} - 6 \, A b^{10} d^{5} e^{6} + 135 \, B a^{2} b^{8} d^{4} e^{7} + 30 \, A a b^{9} d^{4} e^{7} - 160 \, B a^{3} b^{7} d^{3} e^{8} - 60 \, A a^{2} b^{8} d^{3} e^{8} + 105 \, B a^{4} b^{6} d^{2} e^{9} + 60 \, A a^{3} b^{7} d^{2} e^{9} - 36 \, B a^{5} b^{5} d e^{10} - 30 \, A a^{4} b^{6} d e^{10} + 5 \, B a^{6} b^{4} e^{11} + 6 \, A a^{5} b^{5} e^{11}\right)} x^{5} + 900 \, {\left(143 \, B b^{10} d^{7} e^{4} - 770 \, B a b^{9} d^{6} e^{5} - 77 \, A b^{10} d^{6} e^{5} + 1701 \, B a^{2} b^{8} d^{5} e^{6} + 378 \, A a b^{9} d^{5} e^{6} - 1960 \, B a^{3} b^{7} d^{4} e^{7} - 735 \, A a^{2} b^{8} d^{4} e^{7} + 1225 \, B a^{4} b^{6} d^{3} e^{8} + 700 \, A a^{3} b^{7} d^{3} e^{8} - 378 \, B a^{5} b^{5} d^{2} e^{9} - 315 \, A a^{4} b^{6} d^{2} e^{9} + 35 \, B a^{6} b^{4} d e^{10} + 42 \, A a^{5} b^{5} d e^{10} + 4 \, B a^{7} b^{3} e^{11} + 7 \, A a^{6} b^{4} e^{11}\right)} x^{4} + 300 \, {\left(803 \, B b^{10} d^{8} e^{3} - 4280 \, B a b^{9} d^{7} e^{4} - 428 \, A b^{10} d^{7} e^{4} + 9324 \, B a^{2} b^{8} d^{6} e^{5} + 2072 \, A a b^{9} d^{6} e^{5} - 10528 \, B a^{3} b^{7} d^{5} e^{6} - 3948 \, A a^{2} b^{8} d^{5} e^{6} + 6370 \, B a^{4} b^{6} d^{4} e^{7} + 3640 \, A a^{3} b^{7} d^{4} e^{7} - 1848 \, B a^{5} b^{5} d^{3} e^{8} - 1540 \, A a^{4} b^{6} d^{3} e^{8} + 140 \, B a^{6} b^{4} d^{2} e^{9} + 168 \, A a^{5} b^{5} d^{2} e^{9} + 16 \, B a^{7} b^{3} d e^{10} + 28 \, A a^{6} b^{4} d e^{10} + 3 \, B a^{8} b^{2} e^{11} + 8 \, A a^{7} b^{3} e^{11}\right)} x^{3} + 75 \, {\left(3025 \, B b^{10} d^{9} e^{2} - 15990 \, B a b^{9} d^{8} e^{3} - 1599 \, A b^{10} d^{8} e^{3} + 34452 \, B a^{2} b^{8} d^{7} e^{4} + 7656 \, A a b^{9} d^{7} e^{4} - 38304 \, B a^{3} b^{7} d^{6} e^{5} - 14364 \, A a^{2} b^{8} d^{6} e^{5} + 22638 \, B a^{4} b^{6} d^{5} e^{6} + 12936 \, A a^{3} b^{7} d^{5} e^{6} - 6300 \, B a^{5} b^{5} d^{4} e^{7} - 5250 \, A a^{4} b^{6} d^{4} e^{7} + 420 \, B a^{6} b^{4} d^{3} e^{8} + 504 \, A a^{5} b^{5} d^{3} e^{8} + 48 \, B a^{7} b^{3} d^{2} e^{9} + 84 \, A a^{6} b^{4} d^{2} e^{9} + 9 \, B a^{8} b^{2} d e^{10} + 24 \, A a^{7} b^{3} d e^{10} + 2 \, B a^{9} b e^{11} + 9 \, A a^{8} b^{2} e^{11}\right)} x^{2} + 6 \, {\left(17897 \, B b^{10} d^{10} e - 93950 \, B a b^{9} d^{9} e^{2} - 9395 \, A b^{10} d^{9} e^{2} + 200610 \, B a^{2} b^{8} d^{8} e^{3} + 44580 \, A a b^{9} d^{8} e^{3} - 220320 \, B a^{3} b^{7} d^{7} e^{4} - 82620 \, A a^{2} b^{8} d^{7} e^{4} + 127890 \, B a^{4} b^{6} d^{6} e^{5} + 73080 \, A a^{3} b^{7} d^{6} e^{5} - 34524 \, B a^{5} b^{5} d^{5} e^{6} - 28770 \, A a^{4} b^{6} d^{5} e^{6} + 2100 \, B a^{6} b^{4} d^{4} e^{7} + 2520 \, A a^{5} b^{5} d^{4} e^{7} + 240 \, B a^{7} b^{3} d^{3} e^{8} + 420 \, A a^{6} b^{4} d^{3} e^{8} + 45 \, B a^{8} b^{2} d^{2} e^{9} + 120 \, A a^{7} b^{3} d^{2} e^{9} + 10 \, B a^{9} b d e^{10} + 45 \, A a^{8} b^{2} d e^{10} + 2 \, B a^{10} e^{11} + 20 \, A a^{9} b e^{11}\right)} x\right)} e^{\left(-12\right)}}{60 \, {\left(x e + d\right)}^{6}}"," ",0,"-42*(11*B*b^10*d^5 - 50*B*a*b^9*d^4*e - 5*A*b^10*d^4*e + 90*B*a^2*b^8*d^3*e^2 + 20*A*a*b^9*d^3*e^2 - 80*B*a^3*b^7*d^2*e^3 - 30*A*a^2*b^8*d^2*e^3 + 35*B*a^4*b^6*d*e^4 + 20*A*a^3*b^7*d*e^4 - 6*B*a^5*b^5*e^5 - 5*A*a^4*b^6*e^5)*e^(-12)*log(abs(x*e + d)) + 1/60*(12*B*b^10*x^5*e^28 - 105*B*b^10*d*x^4*e^27 + 560*B*b^10*d^2*x^3*e^26 - 2520*B*b^10*d^3*x^2*e^25 + 12600*B*b^10*d^4*x*e^24 + 150*B*a*b^9*x^4*e^28 + 15*A*b^10*x^4*e^28 - 1400*B*a*b^9*d*x^3*e^27 - 140*A*b^10*d*x^3*e^27 + 8400*B*a*b^9*d^2*x^2*e^26 + 840*A*b^10*d^2*x^2*e^26 - 50400*B*a*b^9*d^3*x*e^25 - 5040*A*b^10*d^3*x*e^25 + 900*B*a^2*b^8*x^3*e^28 + 200*A*a*b^9*x^3*e^28 - 9450*B*a^2*b^8*d*x^2*e^27 - 2100*A*a*b^9*d*x^2*e^27 + 75600*B*a^2*b^8*d^2*x*e^26 + 16800*A*a*b^9*d^2*x*e^26 + 3600*B*a^3*b^7*x^2*e^28 + 1350*A*a^2*b^8*x^2*e^28 - 50400*B*a^3*b^7*d*x*e^27 - 18900*A*a^2*b^8*d*x*e^27 + 12600*B*a^4*b^6*x*e^28 + 7200*A*a^3*b^7*x*e^28)*e^(-35) - 1/60*(20417*B*b^10*d^11 - 106550*B*a*b^9*d^10*e - 10655*A*b^10*d^10*e + 225810*B*a^2*b^8*d^9*e^2 + 50180*A*a*b^9*d^9*e^2 - 245520*B*a^3*b^7*d^8*e^3 - 92070*A*a^2*b^8*d^8*e^3 + 140490*B*a^4*b^6*d^7*e^4 + 80280*A*a^3*b^7*d^7*e^4 - 37044*B*a^5*b^5*d^6*e^5 - 30870*A*a^4*b^6*d^6*e^5 + 2100*B*a^6*b^4*d^5*e^6 + 2520*A*a^5*b^5*d^5*e^6 + 240*B*a^7*b^3*d^4*e^7 + 420*A*a^6*b^4*d^4*e^7 + 45*B*a^8*b^2*d^3*e^8 + 120*A*a^7*b^3*d^3*e^8 + 10*B*a^9*b*d^2*e^9 + 45*A*a^8*b^2*d^2*e^9 + 2*B*a^10*d*e^10 + 20*A*a^9*b*d*e^10 + 10*A*a^10*e^11 + 2520*(11*B*b^10*d^6*e^5 - 60*B*a*b^9*d^5*e^6 - 6*A*b^10*d^5*e^6 + 135*B*a^2*b^8*d^4*e^7 + 30*A*a*b^9*d^4*e^7 - 160*B*a^3*b^7*d^3*e^8 - 60*A*a^2*b^8*d^3*e^8 + 105*B*a^4*b^6*d^2*e^9 + 60*A*a^3*b^7*d^2*e^9 - 36*B*a^5*b^5*d*e^10 - 30*A*a^4*b^6*d*e^10 + 5*B*a^6*b^4*e^11 + 6*A*a^5*b^5*e^11)*x^5 + 900*(143*B*b^10*d^7*e^4 - 770*B*a*b^9*d^6*e^5 - 77*A*b^10*d^6*e^5 + 1701*B*a^2*b^8*d^5*e^6 + 378*A*a*b^9*d^5*e^6 - 1960*B*a^3*b^7*d^4*e^7 - 735*A*a^2*b^8*d^4*e^7 + 1225*B*a^4*b^6*d^3*e^8 + 700*A*a^3*b^7*d^3*e^8 - 378*B*a^5*b^5*d^2*e^9 - 315*A*a^4*b^6*d^2*e^9 + 35*B*a^6*b^4*d*e^10 + 42*A*a^5*b^5*d*e^10 + 4*B*a^7*b^3*e^11 + 7*A*a^6*b^4*e^11)*x^4 + 300*(803*B*b^10*d^8*e^3 - 4280*B*a*b^9*d^7*e^4 - 428*A*b^10*d^7*e^4 + 9324*B*a^2*b^8*d^6*e^5 + 2072*A*a*b^9*d^6*e^5 - 10528*B*a^3*b^7*d^5*e^6 - 3948*A*a^2*b^8*d^5*e^6 + 6370*B*a^4*b^6*d^4*e^7 + 3640*A*a^3*b^7*d^4*e^7 - 1848*B*a^5*b^5*d^3*e^8 - 1540*A*a^4*b^6*d^3*e^8 + 140*B*a^6*b^4*d^2*e^9 + 168*A*a^5*b^5*d^2*e^9 + 16*B*a^7*b^3*d*e^10 + 28*A*a^6*b^4*d*e^10 + 3*B*a^8*b^2*e^11 + 8*A*a^7*b^3*e^11)*x^3 + 75*(3025*B*b^10*d^9*e^2 - 15990*B*a*b^9*d^8*e^3 - 1599*A*b^10*d^8*e^3 + 34452*B*a^2*b^8*d^7*e^4 + 7656*A*a*b^9*d^7*e^4 - 38304*B*a^3*b^7*d^6*e^5 - 14364*A*a^2*b^8*d^6*e^5 + 22638*B*a^4*b^6*d^5*e^6 + 12936*A*a^3*b^7*d^5*e^6 - 6300*B*a^5*b^5*d^4*e^7 - 5250*A*a^4*b^6*d^4*e^7 + 420*B*a^6*b^4*d^3*e^8 + 504*A*a^5*b^5*d^3*e^8 + 48*B*a^7*b^3*d^2*e^9 + 84*A*a^6*b^4*d^2*e^9 + 9*B*a^8*b^2*d*e^10 + 24*A*a^7*b^3*d*e^10 + 2*B*a^9*b*e^11 + 9*A*a^8*b^2*e^11)*x^2 + 6*(17897*B*b^10*d^10*e - 93950*B*a*b^9*d^9*e^2 - 9395*A*b^10*d^9*e^2 + 200610*B*a^2*b^8*d^8*e^3 + 44580*A*a*b^9*d^8*e^3 - 220320*B*a^3*b^7*d^7*e^4 - 82620*A*a^2*b^8*d^7*e^4 + 127890*B*a^4*b^6*d^6*e^5 + 73080*A*a^3*b^7*d^6*e^5 - 34524*B*a^5*b^5*d^5*e^6 - 28770*A*a^4*b^6*d^5*e^6 + 2100*B*a^6*b^4*d^4*e^7 + 2520*A*a^5*b^5*d^4*e^7 + 240*B*a^7*b^3*d^3*e^8 + 420*A*a^6*b^4*d^3*e^8 + 45*B*a^8*b^2*d^2*e^9 + 120*A*a^7*b^3*d^2*e^9 + 10*B*a^9*b*d*e^10 + 45*A*a^8*b^2*d*e^10 + 2*B*a^10*e^11 + 20*A*a^9*b*e^11)*x)*e^(-12)/(x*e + d)^6","B",0
1096,1,1860,0,1.284880," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^8,x, algorithm=""giac"")","30 \, {\left(11 \, B b^{10} d^{4} - 40 \, B a b^{9} d^{3} e - 4 \, A b^{10} d^{3} e + 54 \, B a^{2} b^{8} d^{2} e^{2} + 12 \, A a b^{9} d^{2} e^{2} - 32 \, B a^{3} b^{7} d e^{3} - 12 \, A a^{2} b^{8} d e^{3} + 7 \, B a^{4} b^{6} e^{4} + 4 \, A a^{3} b^{7} e^{4}\right)} e^{\left(-12\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{12} \, {\left(3 \, B b^{10} x^{4} e^{24} - 32 \, B b^{10} d x^{3} e^{23} + 216 \, B b^{10} d^{2} x^{2} e^{22} - 1440 \, B b^{10} d^{3} x e^{21} + 40 \, B a b^{9} x^{3} e^{24} + 4 \, A b^{10} x^{3} e^{24} - 480 \, B a b^{9} d x^{2} e^{23} - 48 \, A b^{10} d x^{2} e^{23} + 4320 \, B a b^{9} d^{2} x e^{22} + 432 \, A b^{10} d^{2} x e^{22} + 270 \, B a^{2} b^{8} x^{2} e^{24} + 60 \, A a b^{9} x^{2} e^{24} - 4320 \, B a^{2} b^{8} d x e^{23} - 960 \, A a b^{9} d x e^{23} + 1440 \, B a^{3} b^{7} x e^{24} + 540 \, A a^{2} b^{8} x e^{24}\right)} e^{\left(-32\right)} + \frac{{\left(25961 \, B b^{10} d^{11} - 110440 \, B a b^{9} d^{10} e - 11044 \, A b^{10} d^{10} e + 180846 \, B a^{2} b^{8} d^{9} e^{2} + 40188 \, A a b^{9} d^{9} e^{2} - 138528 \, B a^{3} b^{7} d^{8} e^{3} - 51948 \, A a^{2} b^{8} d^{8} e^{3} + 45738 \, B a^{4} b^{6} d^{7} e^{4} + 26136 \, A a^{3} b^{7} d^{7} e^{4} - 3024 \, B a^{5} b^{5} d^{6} e^{5} - 2520 \, A a^{4} b^{6} d^{6} e^{5} - 420 \, B a^{6} b^{4} d^{5} e^{6} - 504 \, A a^{5} b^{5} d^{5} e^{6} - 96 \, B a^{7} b^{3} d^{4} e^{7} - 168 \, A a^{6} b^{4} d^{4} e^{7} - 27 \, B a^{8} b^{2} d^{3} e^{8} - 72 \, A a^{7} b^{3} d^{3} e^{8} - 8 \, B a^{9} b d^{2} e^{9} - 36 \, A a^{8} b^{2} d^{2} e^{9} - 2 \, B a^{10} d e^{10} - 20 \, A a^{9} b d e^{10} - 12 \, A a^{10} e^{11} + 3528 \, {\left(11 \, B b^{10} d^{5} e^{6} - 50 \, B a b^{9} d^{4} e^{7} - 5 \, A b^{10} d^{4} e^{7} + 90 \, B a^{2} b^{8} d^{3} e^{8} + 20 \, A a b^{9} d^{3} e^{8} - 80 \, B a^{3} b^{7} d^{2} e^{9} - 30 \, A a^{2} b^{8} d^{2} e^{9} + 35 \, B a^{4} b^{6} d e^{10} + 20 \, A a^{3} b^{7} d e^{10} - 6 \, B a^{5} b^{5} e^{11} - 5 \, A a^{4} b^{6} e^{11}\right)} x^{6} + 1764 \, {\left(121 \, B b^{10} d^{6} e^{5} - 540 \, B a b^{9} d^{5} e^{6} - 54 \, A b^{10} d^{5} e^{6} + 945 \, B a^{2} b^{8} d^{4} e^{7} + 210 \, A a b^{9} d^{4} e^{7} - 800 \, B a^{3} b^{7} d^{3} e^{8} - 300 \, A a^{2} b^{8} d^{3} e^{8} + 315 \, B a^{4} b^{6} d^{2} e^{9} + 180 \, A a^{3} b^{7} d^{2} e^{9} - 36 \, B a^{5} b^{5} d e^{10} - 30 \, A a^{4} b^{6} d e^{10} - 5 \, B a^{6} b^{4} e^{11} - 6 \, A a^{5} b^{5} e^{11}\right)} x^{5} + 420 \, {\left(1177 \, B b^{10} d^{7} e^{4} - 5180 \, B a b^{9} d^{6} e^{5} - 518 \, A b^{10} d^{6} e^{5} + 8883 \, B a^{2} b^{8} d^{5} e^{6} + 1974 \, A a b^{9} d^{5} e^{6} - 7280 \, B a^{3} b^{7} d^{4} e^{7} - 2730 \, A a^{2} b^{8} d^{4} e^{7} + 2695 \, B a^{4} b^{6} d^{3} e^{8} + 1540 \, A a^{3} b^{7} d^{3} e^{8} - 252 \, B a^{5} b^{5} d^{2} e^{9} - 210 \, A a^{4} b^{6} d^{2} e^{9} - 35 \, B a^{6} b^{4} d e^{10} - 42 \, A a^{5} b^{5} d e^{10} - 8 \, B a^{7} b^{3} e^{11} - 14 \, A a^{6} b^{4} e^{11}\right)} x^{4} + 105 \, {\left(5863 \, B b^{10} d^{8} e^{3} - 25520 \, B a b^{9} d^{7} e^{4} - 2552 \, A b^{10} d^{7} e^{4} + 43092 \, B a^{2} b^{8} d^{6} e^{5} + 9576 \, A a b^{9} d^{6} e^{5} - 34496 \, B a^{3} b^{7} d^{5} e^{6} - 12936 \, A a^{2} b^{8} d^{5} e^{6} + 12250 \, B a^{4} b^{6} d^{4} e^{7} + 7000 \, A a^{3} b^{7} d^{4} e^{7} - 1008 \, B a^{5} b^{5} d^{3} e^{8} - 840 \, A a^{4} b^{6} d^{3} e^{8} - 140 \, B a^{6} b^{4} d^{2} e^{9} - 168 \, A a^{5} b^{5} d^{2} e^{9} - 32 \, B a^{7} b^{3} d e^{10} - 56 \, A a^{6} b^{4} d e^{10} - 9 \, B a^{8} b^{2} e^{11} - 24 \, A a^{7} b^{3} e^{11}\right)} x^{3} + 21 \, {\left(20669 \, B b^{10} d^{9} e^{2} - 89160 \, B a b^{9} d^{8} e^{3} - 8916 \, A b^{10} d^{8} e^{3} + 148716 \, B a^{2} b^{8} d^{7} e^{4} + 33048 \, A a b^{9} d^{7} e^{4} - 116928 \, B a^{3} b^{7} d^{6} e^{5} - 43848 \, A a^{2} b^{8} d^{6} e^{5} + 40278 \, B a^{4} b^{6} d^{5} e^{6} + 23016 \, A a^{3} b^{7} d^{5} e^{6} - 3024 \, B a^{5} b^{5} d^{4} e^{7} - 2520 \, A a^{4} b^{6} d^{4} e^{7} - 420 \, B a^{6} b^{4} d^{3} e^{8} - 504 \, A a^{5} b^{5} d^{3} e^{8} - 96 \, B a^{7} b^{3} d^{2} e^{9} - 168 \, A a^{6} b^{4} d^{2} e^{9} - 27 \, B a^{8} b^{2} d e^{10} - 72 \, A a^{7} b^{3} d e^{10} - 8 \, B a^{9} b e^{11} - 36 \, A a^{8} b^{2} e^{11}\right)} x^{2} + 7 \, {\left(23441 \, B b^{10} d^{10} e - 100360 \, B a b^{9} d^{9} e^{2} - 10036 \, A b^{10} d^{9} e^{2} + 165726 \, B a^{2} b^{8} d^{8} e^{3} + 36828 \, A a b^{9} d^{8} e^{3} - 128448 \, B a^{3} b^{7} d^{7} e^{4} - 48168 \, A a^{2} b^{8} d^{7} e^{4} + 43218 \, B a^{4} b^{6} d^{6} e^{5} + 24696 \, A a^{3} b^{7} d^{6} e^{5} - 3024 \, B a^{5} b^{5} d^{5} e^{6} - 2520 \, A a^{4} b^{6} d^{5} e^{6} - 420 \, B a^{6} b^{4} d^{4} e^{7} - 504 \, A a^{5} b^{5} d^{4} e^{7} - 96 \, B a^{7} b^{3} d^{3} e^{8} - 168 \, A a^{6} b^{4} d^{3} e^{8} - 27 \, B a^{8} b^{2} d^{2} e^{9} - 72 \, A a^{7} b^{3} d^{2} e^{9} - 8 \, B a^{9} b d e^{10} - 36 \, A a^{8} b^{2} d e^{10} - 2 \, B a^{10} e^{11} - 20 \, A a^{9} b e^{11}\right)} x\right)} e^{\left(-12\right)}}{84 \, {\left(x e + d\right)}^{7}}"," ",0,"30*(11*B*b^10*d^4 - 40*B*a*b^9*d^3*e - 4*A*b^10*d^3*e + 54*B*a^2*b^8*d^2*e^2 + 12*A*a*b^9*d^2*e^2 - 32*B*a^3*b^7*d*e^3 - 12*A*a^2*b^8*d*e^3 + 7*B*a^4*b^6*e^4 + 4*A*a^3*b^7*e^4)*e^(-12)*log(abs(x*e + d)) + 1/12*(3*B*b^10*x^4*e^24 - 32*B*b^10*d*x^3*e^23 + 216*B*b^10*d^2*x^2*e^22 - 1440*B*b^10*d^3*x*e^21 + 40*B*a*b^9*x^3*e^24 + 4*A*b^10*x^3*e^24 - 480*B*a*b^9*d*x^2*e^23 - 48*A*b^10*d*x^2*e^23 + 4320*B*a*b^9*d^2*x*e^22 + 432*A*b^10*d^2*x*e^22 + 270*B*a^2*b^8*x^2*e^24 + 60*A*a*b^9*x^2*e^24 - 4320*B*a^2*b^8*d*x*e^23 - 960*A*a*b^9*d*x*e^23 + 1440*B*a^3*b^7*x*e^24 + 540*A*a^2*b^8*x*e^24)*e^(-32) + 1/84*(25961*B*b^10*d^11 - 110440*B*a*b^9*d^10*e - 11044*A*b^10*d^10*e + 180846*B*a^2*b^8*d^9*e^2 + 40188*A*a*b^9*d^9*e^2 - 138528*B*a^3*b^7*d^8*e^3 - 51948*A*a^2*b^8*d^8*e^3 + 45738*B*a^4*b^6*d^7*e^4 + 26136*A*a^3*b^7*d^7*e^4 - 3024*B*a^5*b^5*d^6*e^5 - 2520*A*a^4*b^6*d^6*e^5 - 420*B*a^6*b^4*d^5*e^6 - 504*A*a^5*b^5*d^5*e^6 - 96*B*a^7*b^3*d^4*e^7 - 168*A*a^6*b^4*d^4*e^7 - 27*B*a^8*b^2*d^3*e^8 - 72*A*a^7*b^3*d^3*e^8 - 8*B*a^9*b*d^2*e^9 - 36*A*a^8*b^2*d^2*e^9 - 2*B*a^10*d*e^10 - 20*A*a^9*b*d*e^10 - 12*A*a^10*e^11 + 3528*(11*B*b^10*d^5*e^6 - 50*B*a*b^9*d^4*e^7 - 5*A*b^10*d^4*e^7 + 90*B*a^2*b^8*d^3*e^8 + 20*A*a*b^9*d^3*e^8 - 80*B*a^3*b^7*d^2*e^9 - 30*A*a^2*b^8*d^2*e^9 + 35*B*a^4*b^6*d*e^10 + 20*A*a^3*b^7*d*e^10 - 6*B*a^5*b^5*e^11 - 5*A*a^4*b^6*e^11)*x^6 + 1764*(121*B*b^10*d^6*e^5 - 540*B*a*b^9*d^5*e^6 - 54*A*b^10*d^5*e^6 + 945*B*a^2*b^8*d^4*e^7 + 210*A*a*b^9*d^4*e^7 - 800*B*a^3*b^7*d^3*e^8 - 300*A*a^2*b^8*d^3*e^8 + 315*B*a^4*b^6*d^2*e^9 + 180*A*a^3*b^7*d^2*e^9 - 36*B*a^5*b^5*d*e^10 - 30*A*a^4*b^6*d*e^10 - 5*B*a^6*b^4*e^11 - 6*A*a^5*b^5*e^11)*x^5 + 420*(1177*B*b^10*d^7*e^4 - 5180*B*a*b^9*d^6*e^5 - 518*A*b^10*d^6*e^5 + 8883*B*a^2*b^8*d^5*e^6 + 1974*A*a*b^9*d^5*e^6 - 7280*B*a^3*b^7*d^4*e^7 - 2730*A*a^2*b^8*d^4*e^7 + 2695*B*a^4*b^6*d^3*e^8 + 1540*A*a^3*b^7*d^3*e^8 - 252*B*a^5*b^5*d^2*e^9 - 210*A*a^4*b^6*d^2*e^9 - 35*B*a^6*b^4*d*e^10 - 42*A*a^5*b^5*d*e^10 - 8*B*a^7*b^3*e^11 - 14*A*a^6*b^4*e^11)*x^4 + 105*(5863*B*b^10*d^8*e^3 - 25520*B*a*b^9*d^7*e^4 - 2552*A*b^10*d^7*e^4 + 43092*B*a^2*b^8*d^6*e^5 + 9576*A*a*b^9*d^6*e^5 - 34496*B*a^3*b^7*d^5*e^6 - 12936*A*a^2*b^8*d^5*e^6 + 12250*B*a^4*b^6*d^4*e^7 + 7000*A*a^3*b^7*d^4*e^7 - 1008*B*a^5*b^5*d^3*e^8 - 840*A*a^4*b^6*d^3*e^8 - 140*B*a^6*b^4*d^2*e^9 - 168*A*a^5*b^5*d^2*e^9 - 32*B*a^7*b^3*d*e^10 - 56*A*a^6*b^4*d*e^10 - 9*B*a^8*b^2*e^11 - 24*A*a^7*b^3*e^11)*x^3 + 21*(20669*B*b^10*d^9*e^2 - 89160*B*a*b^9*d^8*e^3 - 8916*A*b^10*d^8*e^3 + 148716*B*a^2*b^8*d^7*e^4 + 33048*A*a*b^9*d^7*e^4 - 116928*B*a^3*b^7*d^6*e^5 - 43848*A*a^2*b^8*d^6*e^5 + 40278*B*a^4*b^6*d^5*e^6 + 23016*A*a^3*b^7*d^5*e^6 - 3024*B*a^5*b^5*d^4*e^7 - 2520*A*a^4*b^6*d^4*e^7 - 420*B*a^6*b^4*d^3*e^8 - 504*A*a^5*b^5*d^3*e^8 - 96*B*a^7*b^3*d^2*e^9 - 168*A*a^6*b^4*d^2*e^9 - 27*B*a^8*b^2*d*e^10 - 72*A*a^7*b^3*d*e^10 - 8*B*a^9*b*e^11 - 36*A*a^8*b^2*e^11)*x^2 + 7*(23441*B*b^10*d^10*e - 100360*B*a*b^9*d^9*e^2 - 10036*A*b^10*d^9*e^2 + 165726*B*a^2*b^8*d^8*e^3 + 36828*A*a*b^9*d^8*e^3 - 128448*B*a^3*b^7*d^7*e^4 - 48168*A*a^2*b^8*d^7*e^4 + 43218*B*a^4*b^6*d^6*e^5 + 24696*A*a^3*b^7*d^6*e^5 - 3024*B*a^5*b^5*d^5*e^6 - 2520*A*a^4*b^6*d^5*e^6 - 420*B*a^6*b^4*d^4*e^7 - 504*A*a^5*b^5*d^4*e^7 - 96*B*a^7*b^3*d^3*e^8 - 168*A*a^6*b^4*d^3*e^8 - 27*B*a^8*b^2*d^2*e^9 - 72*A*a^7*b^3*d^2*e^9 - 8*B*a^9*b*d*e^10 - 36*A*a^8*b^2*d*e^10 - 2*B*a^10*e^11 - 20*A*a^9*b*e^11)*x)*e^(-12)/(x*e + d)^7","B",0
1097,1,1849,0,1.291811," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^9,x, algorithm=""giac"")","-15 \, {\left(11 \, B b^{10} d^{3} - 30 \, B a b^{9} d^{2} e - 3 \, A b^{10} d^{2} e + 27 \, B a^{2} b^{8} d e^{2} + 6 \, A a b^{9} d e^{2} - 8 \, B a^{3} b^{7} e^{3} - 3 \, A a^{2} b^{8} e^{3}\right)} e^{\left(-12\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{6} \, {\left(2 \, B b^{10} x^{3} e^{18} - 27 \, B b^{10} d x^{2} e^{17} + 270 \, B b^{10} d^{2} x e^{16} + 30 \, B a b^{9} x^{2} e^{18} + 3 \, A b^{10} x^{2} e^{18} - 540 \, B a b^{9} d x e^{17} - 54 \, A b^{10} d x e^{17} + 270 \, B a^{2} b^{8} x e^{18} + 60 \, A a b^{9} x e^{18}\right)} e^{\left(-27\right)} - \frac{{\left(32891 \, B b^{10} d^{11} - 108030 \, B a b^{9} d^{10} e - 10803 \, A b^{10} d^{10} e + 124443 \, B a^{2} b^{8} d^{9} e^{2} + 27654 \, A a b^{9} d^{9} e^{2} - 54792 \, B a^{3} b^{7} d^{8} e^{3} - 20547 \, A a^{2} b^{8} d^{8} e^{3} + 4410 \, B a^{4} b^{6} d^{7} e^{4} + 2520 \, A a^{3} b^{7} d^{7} e^{4} + 756 \, B a^{5} b^{5} d^{6} e^{5} + 630 \, A a^{4} b^{6} d^{6} e^{5} + 210 \, B a^{6} b^{4} d^{5} e^{6} + 252 \, A a^{5} b^{5} d^{5} e^{6} + 72 \, B a^{7} b^{3} d^{4} e^{7} + 126 \, A a^{6} b^{4} d^{4} e^{7} + 27 \, B a^{8} b^{2} d^{3} e^{8} + 72 \, A a^{7} b^{3} d^{3} e^{8} + 10 \, B a^{9} b d^{2} e^{9} + 45 \, A a^{8} b^{2} d^{2} e^{9} + 3 \, B a^{10} d e^{10} + 30 \, A a^{9} b d e^{10} + 21 \, A a^{10} e^{11} + 5040 \, {\left(11 \, B b^{10} d^{4} e^{7} - 40 \, B a b^{9} d^{3} e^{8} - 4 \, A b^{10} d^{3} e^{8} + 54 \, B a^{2} b^{8} d^{2} e^{9} + 12 \, A a b^{9} d^{2} e^{9} - 32 \, B a^{3} b^{7} d e^{10} - 12 \, A a^{2} b^{8} d e^{10} + 7 \, B a^{4} b^{6} e^{11} + 4 \, A a^{3} b^{7} e^{11}\right)} x^{7} + 3528 \, {\left(99 \, B b^{10} d^{5} e^{6} - 350 \, B a b^{9} d^{4} e^{7} - 35 \, A b^{10} d^{4} e^{7} + 450 \, B a^{2} b^{8} d^{3} e^{8} + 100 \, A a b^{9} d^{3} e^{8} - 240 \, B a^{3} b^{7} d^{2} e^{9} - 90 \, A a^{2} b^{8} d^{2} e^{9} + 35 \, B a^{4} b^{6} d e^{10} + 20 \, A a^{3} b^{7} d e^{10} + 6 \, B a^{5} b^{5} e^{11} + 5 \, A a^{4} b^{6} e^{11}\right)} x^{6} + 2352 \, {\left(407 \, B b^{10} d^{6} e^{5} - 1410 \, B a b^{9} d^{5} e^{6} - 141 \, A b^{10} d^{5} e^{6} + 1755 \, B a^{2} b^{8} d^{4} e^{7} + 390 \, A a b^{9} d^{4} e^{7} - 880 \, B a^{3} b^{7} d^{3} e^{8} - 330 \, A a^{2} b^{8} d^{3} e^{8} + 105 \, B a^{4} b^{6} d^{2} e^{9} + 60 \, A a^{3} b^{7} d^{2} e^{9} + 18 \, B a^{5} b^{5} d e^{10} + 15 \, A a^{4} b^{6} d e^{10} + 5 \, B a^{6} b^{4} e^{11} + 6 \, A a^{5} b^{5} e^{11}\right)} x^{5} + 420 \, {\left(3509 \, B b^{10} d^{7} e^{4} - 11970 \, B a b^{9} d^{6} e^{5} - 1197 \, A b^{10} d^{6} e^{5} + 14553 \, B a^{2} b^{8} d^{5} e^{6} + 3234 \, A a b^{9} d^{5} e^{6} - 7000 \, B a^{3} b^{7} d^{4} e^{7} - 2625 \, A a^{2} b^{8} d^{4} e^{7} + 735 \, B a^{4} b^{6} d^{3} e^{8} + 420 \, A a^{3} b^{7} d^{3} e^{8} + 126 \, B a^{5} b^{5} d^{2} e^{9} + 105 \, A a^{4} b^{6} d^{2} e^{9} + 35 \, B a^{6} b^{4} d e^{10} + 42 \, A a^{5} b^{5} d e^{10} + 12 \, B a^{7} b^{3} e^{11} + 21 \, A a^{6} b^{4} e^{11}\right)} x^{4} + 168 \, {\left(8173 \, B b^{10} d^{8} e^{3} - 27540 \, B a b^{9} d^{7} e^{4} - 2754 \, A b^{10} d^{7} e^{4} + 32886 \, B a^{2} b^{8} d^{6} e^{5} + 7308 \, A a b^{9} d^{6} e^{5} - 15344 \, B a^{3} b^{7} d^{5} e^{6} - 5754 \, A a^{2} b^{8} d^{5} e^{6} + 1470 \, B a^{4} b^{6} d^{4} e^{7} + 840 \, A a^{3} b^{7} d^{4} e^{7} + 252 \, B a^{5} b^{5} d^{3} e^{8} + 210 \, A a^{4} b^{6} d^{3} e^{8} + 70 \, B a^{6} b^{4} d^{2} e^{9} + 84 \, A a^{5} b^{5} d^{2} e^{9} + 24 \, B a^{7} b^{3} d e^{10} + 42 \, A a^{6} b^{4} d e^{10} + 9 \, B a^{8} b^{2} e^{11} + 24 \, A a^{7} b^{3} e^{11}\right)} x^{3} + 28 \, {\left(27599 \, B b^{10} d^{9} e^{2} - 92070 \, B a b^{9} d^{8} e^{3} - 9207 \, A b^{10} d^{8} e^{3} + 108378 \, B a^{2} b^{8} d^{7} e^{4} + 24084 \, A a b^{9} d^{7} e^{4} - 49392 \, B a^{3} b^{7} d^{6} e^{5} - 18522 \, A a^{2} b^{8} d^{6} e^{5} + 4410 \, B a^{4} b^{6} d^{5} e^{6} + 2520 \, A a^{3} b^{7} d^{5} e^{6} + 756 \, B a^{5} b^{5} d^{4} e^{7} + 630 \, A a^{4} b^{6} d^{4} e^{7} + 210 \, B a^{6} b^{4} d^{3} e^{8} + 252 \, A a^{5} b^{5} d^{3} e^{8} + 72 \, B a^{7} b^{3} d^{2} e^{9} + 126 \, A a^{6} b^{4} d^{2} e^{9} + 27 \, B a^{8} b^{2} d e^{10} + 72 \, A a^{7} b^{3} d e^{10} + 10 \, B a^{9} b e^{11} + 45 \, A a^{8} b^{2} e^{11}\right)} x^{2} + 8 \, {\left(30371 \, B b^{10} d^{10} e - 100470 \, B a b^{9} d^{9} e^{2} - 10047 \, A b^{10} d^{9} e^{2} + 116883 \, B a^{2} b^{8} d^{8} e^{3} + 25974 \, A a b^{9} d^{8} e^{3} - 52272 \, B a^{3} b^{7} d^{7} e^{4} - 19602 \, A a^{2} b^{8} d^{7} e^{4} + 4410 \, B a^{4} b^{6} d^{6} e^{5} + 2520 \, A a^{3} b^{7} d^{6} e^{5} + 756 \, B a^{5} b^{5} d^{5} e^{6} + 630 \, A a^{4} b^{6} d^{5} e^{6} + 210 \, B a^{6} b^{4} d^{4} e^{7} + 252 \, A a^{5} b^{5} d^{4} e^{7} + 72 \, B a^{7} b^{3} d^{3} e^{8} + 126 \, A a^{6} b^{4} d^{3} e^{8} + 27 \, B a^{8} b^{2} d^{2} e^{9} + 72 \, A a^{7} b^{3} d^{2} e^{9} + 10 \, B a^{9} b d e^{10} + 45 \, A a^{8} b^{2} d e^{10} + 3 \, B a^{10} e^{11} + 30 \, A a^{9} b e^{11}\right)} x\right)} e^{\left(-12\right)}}{168 \, {\left(x e + d\right)}^{8}}"," ",0,"-15*(11*B*b^10*d^3 - 30*B*a*b^9*d^2*e - 3*A*b^10*d^2*e + 27*B*a^2*b^8*d*e^2 + 6*A*a*b^9*d*e^2 - 8*B*a^3*b^7*e^3 - 3*A*a^2*b^8*e^3)*e^(-12)*log(abs(x*e + d)) + 1/6*(2*B*b^10*x^3*e^18 - 27*B*b^10*d*x^2*e^17 + 270*B*b^10*d^2*x*e^16 + 30*B*a*b^9*x^2*e^18 + 3*A*b^10*x^2*e^18 - 540*B*a*b^9*d*x*e^17 - 54*A*b^10*d*x*e^17 + 270*B*a^2*b^8*x*e^18 + 60*A*a*b^9*x*e^18)*e^(-27) - 1/168*(32891*B*b^10*d^11 - 108030*B*a*b^9*d^10*e - 10803*A*b^10*d^10*e + 124443*B*a^2*b^8*d^9*e^2 + 27654*A*a*b^9*d^9*e^2 - 54792*B*a^3*b^7*d^8*e^3 - 20547*A*a^2*b^8*d^8*e^3 + 4410*B*a^4*b^6*d^7*e^4 + 2520*A*a^3*b^7*d^7*e^4 + 756*B*a^5*b^5*d^6*e^5 + 630*A*a^4*b^6*d^6*e^5 + 210*B*a^6*b^4*d^5*e^6 + 252*A*a^5*b^5*d^5*e^6 + 72*B*a^7*b^3*d^4*e^7 + 126*A*a^6*b^4*d^4*e^7 + 27*B*a^8*b^2*d^3*e^8 + 72*A*a^7*b^3*d^3*e^8 + 10*B*a^9*b*d^2*e^9 + 45*A*a^8*b^2*d^2*e^9 + 3*B*a^10*d*e^10 + 30*A*a^9*b*d*e^10 + 21*A*a^10*e^11 + 5040*(11*B*b^10*d^4*e^7 - 40*B*a*b^9*d^3*e^8 - 4*A*b^10*d^3*e^8 + 54*B*a^2*b^8*d^2*e^9 + 12*A*a*b^9*d^2*e^9 - 32*B*a^3*b^7*d*e^10 - 12*A*a^2*b^8*d*e^10 + 7*B*a^4*b^6*e^11 + 4*A*a^3*b^7*e^11)*x^7 + 3528*(99*B*b^10*d^5*e^6 - 350*B*a*b^9*d^4*e^7 - 35*A*b^10*d^4*e^7 + 450*B*a^2*b^8*d^3*e^8 + 100*A*a*b^9*d^3*e^8 - 240*B*a^3*b^7*d^2*e^9 - 90*A*a^2*b^8*d^2*e^9 + 35*B*a^4*b^6*d*e^10 + 20*A*a^3*b^7*d*e^10 + 6*B*a^5*b^5*e^11 + 5*A*a^4*b^6*e^11)*x^6 + 2352*(407*B*b^10*d^6*e^5 - 1410*B*a*b^9*d^5*e^6 - 141*A*b^10*d^5*e^6 + 1755*B*a^2*b^8*d^4*e^7 + 390*A*a*b^9*d^4*e^7 - 880*B*a^3*b^7*d^3*e^8 - 330*A*a^2*b^8*d^3*e^8 + 105*B*a^4*b^6*d^2*e^9 + 60*A*a^3*b^7*d^2*e^9 + 18*B*a^5*b^5*d*e^10 + 15*A*a^4*b^6*d*e^10 + 5*B*a^6*b^4*e^11 + 6*A*a^5*b^5*e^11)*x^5 + 420*(3509*B*b^10*d^7*e^4 - 11970*B*a*b^9*d^6*e^5 - 1197*A*b^10*d^6*e^5 + 14553*B*a^2*b^8*d^5*e^6 + 3234*A*a*b^9*d^5*e^6 - 7000*B*a^3*b^7*d^4*e^7 - 2625*A*a^2*b^8*d^4*e^7 + 735*B*a^4*b^6*d^3*e^8 + 420*A*a^3*b^7*d^3*e^8 + 126*B*a^5*b^5*d^2*e^9 + 105*A*a^4*b^6*d^2*e^9 + 35*B*a^6*b^4*d*e^10 + 42*A*a^5*b^5*d*e^10 + 12*B*a^7*b^3*e^11 + 21*A*a^6*b^4*e^11)*x^4 + 168*(8173*B*b^10*d^8*e^3 - 27540*B*a*b^9*d^7*e^4 - 2754*A*b^10*d^7*e^4 + 32886*B*a^2*b^8*d^6*e^5 + 7308*A*a*b^9*d^6*e^5 - 15344*B*a^3*b^7*d^5*e^6 - 5754*A*a^2*b^8*d^5*e^6 + 1470*B*a^4*b^6*d^4*e^7 + 840*A*a^3*b^7*d^4*e^7 + 252*B*a^5*b^5*d^3*e^8 + 210*A*a^4*b^6*d^3*e^8 + 70*B*a^6*b^4*d^2*e^9 + 84*A*a^5*b^5*d^2*e^9 + 24*B*a^7*b^3*d*e^10 + 42*A*a^6*b^4*d*e^10 + 9*B*a^8*b^2*e^11 + 24*A*a^7*b^3*e^11)*x^3 + 28*(27599*B*b^10*d^9*e^2 - 92070*B*a*b^9*d^8*e^3 - 9207*A*b^10*d^8*e^3 + 108378*B*a^2*b^8*d^7*e^4 + 24084*A*a*b^9*d^7*e^4 - 49392*B*a^3*b^7*d^6*e^5 - 18522*A*a^2*b^8*d^6*e^5 + 4410*B*a^4*b^6*d^5*e^6 + 2520*A*a^3*b^7*d^5*e^6 + 756*B*a^5*b^5*d^4*e^7 + 630*A*a^4*b^6*d^4*e^7 + 210*B*a^6*b^4*d^3*e^8 + 252*A*a^5*b^5*d^3*e^8 + 72*B*a^7*b^3*d^2*e^9 + 126*A*a^6*b^4*d^2*e^9 + 27*B*a^8*b^2*d*e^10 + 72*A*a^7*b^3*d*e^10 + 10*B*a^9*b*e^11 + 45*A*a^8*b^2*e^11)*x^2 + 8*(30371*B*b^10*d^10*e - 100470*B*a*b^9*d^9*e^2 - 10047*A*b^10*d^9*e^2 + 116883*B*a^2*b^8*d^8*e^3 + 25974*A*a*b^9*d^8*e^3 - 52272*B*a^3*b^7*d^7*e^4 - 19602*A*a^2*b^8*d^7*e^4 + 4410*B*a^4*b^6*d^6*e^5 + 2520*A*a^3*b^7*d^6*e^5 + 756*B*a^5*b^5*d^5*e^6 + 630*A*a^4*b^6*d^5*e^6 + 210*B*a^6*b^4*d^4*e^7 + 252*A*a^5*b^5*d^4*e^7 + 72*B*a^7*b^3*d^3*e^8 + 126*A*a^6*b^4*d^3*e^8 + 27*B*a^8*b^2*d^2*e^9 + 72*A*a^7*b^3*d^2*e^9 + 10*B*a^9*b*d*e^10 + 45*A*a^8*b^2*d*e^10 + 3*B*a^10*e^11 + 30*A*a^9*b*e^11)*x)*e^(-12)/(x*e + d)^8","B",0
1098,1,1843,0,1.340080," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^10,x, algorithm=""giac"")","5 \, {\left(11 \, B b^{10} d^{2} - 20 \, B a b^{9} d e - 2 \, A b^{10} d e + 9 \, B a^{2} b^{8} e^{2} + 2 \, A a b^{9} e^{2}\right)} e^{\left(-12\right)} \log\left({\left| x e + d \right|}\right) + \frac{1}{2} \, {\left(B b^{10} x^{2} e^{10} - 20 \, B b^{10} d x e^{9} + 20 \, B a b^{9} x e^{10} + 2 \, A b^{10} x e^{10}\right)} e^{\left(-20\right)} + \frac{{\left(42131 \, B b^{10} d^{11} - 97220 \, B a b^{9} d^{10} e - 9722 \, A b^{10} d^{10} e + 64161 \, B a^{2} b^{8} d^{9} e^{2} + 14258 \, A a b^{9} d^{9} e^{2} - 6720 \, B a^{3} b^{7} d^{8} e^{3} - 2520 \, A a^{2} b^{8} d^{8} e^{3} - 1470 \, B a^{4} b^{6} d^{7} e^{4} - 840 \, A a^{3} b^{7} d^{7} e^{4} - 504 \, B a^{5} b^{5} d^{6} e^{5} - 420 \, A a^{4} b^{6} d^{6} e^{5} - 210 \, B a^{6} b^{4} d^{5} e^{6} - 252 \, A a^{5} b^{5} d^{5} e^{6} - 96 \, B a^{7} b^{3} d^{4} e^{7} - 168 \, A a^{6} b^{4} d^{4} e^{7} - 45 \, B a^{8} b^{2} d^{3} e^{8} - 120 \, A a^{7} b^{3} d^{3} e^{8} - 20 \, B a^{9} b d^{2} e^{9} - 90 \, A a^{8} b^{2} d^{2} e^{9} - 7 \, B a^{10} d e^{10} - 70 \, A a^{9} b d e^{10} - 56 \, A a^{10} e^{11} + 7560 \, {\left(11 \, B b^{10} d^{3} e^{8} - 30 \, B a b^{9} d^{2} e^{9} - 3 \, A b^{10} d^{2} e^{9} + 27 \, B a^{2} b^{8} d e^{10} + 6 \, A a b^{9} d e^{10} - 8 \, B a^{3} b^{7} e^{11} - 3 \, A a^{2} b^{8} e^{11}\right)} x^{8} + 7560 \, {\left(77 \, B b^{10} d^{4} e^{7} - 200 \, B a b^{9} d^{3} e^{8} - 20 \, A b^{10} d^{3} e^{8} + 162 \, B a^{2} b^{8} d^{2} e^{9} + 36 \, A a b^{9} d^{2} e^{9} - 32 \, B a^{3} b^{7} d e^{10} - 12 \, A a^{2} b^{8} d e^{10} - 7 \, B a^{4} b^{6} e^{11} - 4 \, A a^{3} b^{7} e^{11}\right)} x^{7} + 3528 \, {\left(517 \, B b^{10} d^{5} e^{6} - 1300 \, B a b^{9} d^{4} e^{7} - 130 \, A b^{10} d^{4} e^{7} + 990 \, B a^{2} b^{8} d^{3} e^{8} + 220 \, A a b^{9} d^{3} e^{8} - 160 \, B a^{3} b^{7} d^{2} e^{9} - 60 \, A a^{2} b^{8} d^{2} e^{9} - 35 \, B a^{4} b^{6} d e^{10} - 20 \, A a^{3} b^{7} d e^{10} - 12 \, B a^{5} b^{5} e^{11} - 10 \, A a^{4} b^{6} e^{11}\right)} x^{6} + 5292 \, {\left(627 \, B b^{10} d^{6} e^{5} - 1540 \, B a b^{9} d^{5} e^{6} - 154 \, A b^{10} d^{5} e^{6} + 1125 \, B a^{2} b^{8} d^{4} e^{7} + 250 \, A a b^{9} d^{4} e^{7} - 160 \, B a^{3} b^{7} d^{3} e^{8} - 60 \, A a^{2} b^{8} d^{3} e^{8} - 35 \, B a^{4} b^{6} d^{2} e^{9} - 20 \, A a^{3} b^{7} d^{2} e^{9} - 12 \, B a^{5} b^{5} d e^{10} - 10 \, A a^{4} b^{6} d e^{10} - 5 \, B a^{6} b^{4} e^{11} - 6 \, A a^{5} b^{5} e^{11}\right)} x^{5} + 756 \, {\left(5049 \, B b^{10} d^{7} e^{4} - 12180 \, B a b^{9} d^{6} e^{5} - 1218 \, A b^{10} d^{6} e^{5} + 8631 \, B a^{2} b^{8} d^{5} e^{6} + 1918 \, A a b^{9} d^{5} e^{6} - 1120 \, B a^{3} b^{7} d^{4} e^{7} - 420 \, A a^{2} b^{8} d^{4} e^{7} - 245 \, B a^{4} b^{6} d^{3} e^{8} - 140 \, A a^{3} b^{7} d^{3} e^{8} - 84 \, B a^{5} b^{5} d^{2} e^{9} - 70 \, A a^{4} b^{6} d^{2} e^{9} - 35 \, B a^{6} b^{4} d e^{10} - 42 \, A a^{5} b^{5} d e^{10} - 16 \, B a^{7} b^{3} e^{11} - 28 \, A a^{6} b^{4} e^{11}\right)} x^{4} + 252 \, {\left(11253 \, B b^{10} d^{8} e^{3} - 26760 \, B a b^{9} d^{7} e^{4} - 2676 \, A b^{10} d^{7} e^{4} + 18522 \, B a^{2} b^{8} d^{6} e^{5} + 4116 \, A a b^{9} d^{6} e^{5} - 2240 \, B a^{3} b^{7} d^{5} e^{6} - 840 \, A a^{2} b^{8} d^{5} e^{6} - 490 \, B a^{4} b^{6} d^{4} e^{7} - 280 \, A a^{3} b^{7} d^{4} e^{7} - 168 \, B a^{5} b^{5} d^{3} e^{8} - 140 \, A a^{4} b^{6} d^{3} e^{8} - 70 \, B a^{6} b^{4} d^{2} e^{9} - 84 \, A a^{5} b^{5} d^{2} e^{9} - 32 \, B a^{7} b^{3} d e^{10} - 56 \, A a^{6} b^{4} d e^{10} - 15 \, B a^{8} b^{2} e^{11} - 40 \, A a^{7} b^{3} e^{11}\right)} x^{3} + 36 \, {\left(36839 \, B b^{10} d^{9} e^{2} - 86580 \, B a b^{9} d^{8} e^{3} - 8658 \, A b^{10} d^{8} e^{3} + 58806 \, B a^{2} b^{8} d^{7} e^{4} + 13068 \, A a b^{9} d^{7} e^{4} - 6720 \, B a^{3} b^{7} d^{6} e^{5} - 2520 \, A a^{2} b^{8} d^{6} e^{5} - 1470 \, B a^{4} b^{6} d^{5} e^{6} - 840 \, A a^{3} b^{7} d^{5} e^{6} - 504 \, B a^{5} b^{5} d^{4} e^{7} - 420 \, A a^{4} b^{6} d^{4} e^{7} - 210 \, B a^{6} b^{4} d^{3} e^{8} - 252 \, A a^{5} b^{5} d^{3} e^{8} - 96 \, B a^{7} b^{3} d^{2} e^{9} - 168 \, A a^{6} b^{4} d^{2} e^{9} - 45 \, B a^{8} b^{2} d e^{10} - 120 \, A a^{7} b^{3} d e^{10} - 20 \, B a^{9} b e^{11} - 90 \, A a^{8} b^{2} e^{11}\right)} x^{2} + 9 \, {\left(39611 \, B b^{10} d^{10} e - 92180 \, B a b^{9} d^{9} e^{2} - 9218 \, A b^{10} d^{9} e^{2} + 61641 \, B a^{2} b^{8} d^{8} e^{3} + 13698 \, A a b^{9} d^{8} e^{3} - 6720 \, B a^{3} b^{7} d^{7} e^{4} - 2520 \, A a^{2} b^{8} d^{7} e^{4} - 1470 \, B a^{4} b^{6} d^{6} e^{5} - 840 \, A a^{3} b^{7} d^{6} e^{5} - 504 \, B a^{5} b^{5} d^{5} e^{6} - 420 \, A a^{4} b^{6} d^{5} e^{6} - 210 \, B a^{6} b^{4} d^{4} e^{7} - 252 \, A a^{5} b^{5} d^{4} e^{7} - 96 \, B a^{7} b^{3} d^{3} e^{8} - 168 \, A a^{6} b^{4} d^{3} e^{8} - 45 \, B a^{8} b^{2} d^{2} e^{9} - 120 \, A a^{7} b^{3} d^{2} e^{9} - 20 \, B a^{9} b d e^{10} - 90 \, A a^{8} b^{2} d e^{10} - 7 \, B a^{10} e^{11} - 70 \, A a^{9} b e^{11}\right)} x\right)} e^{\left(-12\right)}}{504 \, {\left(x e + d\right)}^{9}}"," ",0,"5*(11*B*b^10*d^2 - 20*B*a*b^9*d*e - 2*A*b^10*d*e + 9*B*a^2*b^8*e^2 + 2*A*a*b^9*e^2)*e^(-12)*log(abs(x*e + d)) + 1/2*(B*b^10*x^2*e^10 - 20*B*b^10*d*x*e^9 + 20*B*a*b^9*x*e^10 + 2*A*b^10*x*e^10)*e^(-20) + 1/504*(42131*B*b^10*d^11 - 97220*B*a*b^9*d^10*e - 9722*A*b^10*d^10*e + 64161*B*a^2*b^8*d^9*e^2 + 14258*A*a*b^9*d^9*e^2 - 6720*B*a^3*b^7*d^8*e^3 - 2520*A*a^2*b^8*d^8*e^3 - 1470*B*a^4*b^6*d^7*e^4 - 840*A*a^3*b^7*d^7*e^4 - 504*B*a^5*b^5*d^6*e^5 - 420*A*a^4*b^6*d^6*e^5 - 210*B*a^6*b^4*d^5*e^6 - 252*A*a^5*b^5*d^5*e^6 - 96*B*a^7*b^3*d^4*e^7 - 168*A*a^6*b^4*d^4*e^7 - 45*B*a^8*b^2*d^3*e^8 - 120*A*a^7*b^3*d^3*e^8 - 20*B*a^9*b*d^2*e^9 - 90*A*a^8*b^2*d^2*e^9 - 7*B*a^10*d*e^10 - 70*A*a^9*b*d*e^10 - 56*A*a^10*e^11 + 7560*(11*B*b^10*d^3*e^8 - 30*B*a*b^9*d^2*e^9 - 3*A*b^10*d^2*e^9 + 27*B*a^2*b^8*d*e^10 + 6*A*a*b^9*d*e^10 - 8*B*a^3*b^7*e^11 - 3*A*a^2*b^8*e^11)*x^8 + 7560*(77*B*b^10*d^4*e^7 - 200*B*a*b^9*d^3*e^8 - 20*A*b^10*d^3*e^8 + 162*B*a^2*b^8*d^2*e^9 + 36*A*a*b^9*d^2*e^9 - 32*B*a^3*b^7*d*e^10 - 12*A*a^2*b^8*d*e^10 - 7*B*a^4*b^6*e^11 - 4*A*a^3*b^7*e^11)*x^7 + 3528*(517*B*b^10*d^5*e^6 - 1300*B*a*b^9*d^4*e^7 - 130*A*b^10*d^4*e^7 + 990*B*a^2*b^8*d^3*e^8 + 220*A*a*b^9*d^3*e^8 - 160*B*a^3*b^7*d^2*e^9 - 60*A*a^2*b^8*d^2*e^9 - 35*B*a^4*b^6*d*e^10 - 20*A*a^3*b^7*d*e^10 - 12*B*a^5*b^5*e^11 - 10*A*a^4*b^6*e^11)*x^6 + 5292*(627*B*b^10*d^6*e^5 - 1540*B*a*b^9*d^5*e^6 - 154*A*b^10*d^5*e^6 + 1125*B*a^2*b^8*d^4*e^7 + 250*A*a*b^9*d^4*e^7 - 160*B*a^3*b^7*d^3*e^8 - 60*A*a^2*b^8*d^3*e^8 - 35*B*a^4*b^6*d^2*e^9 - 20*A*a^3*b^7*d^2*e^9 - 12*B*a^5*b^5*d*e^10 - 10*A*a^4*b^6*d*e^10 - 5*B*a^6*b^4*e^11 - 6*A*a^5*b^5*e^11)*x^5 + 756*(5049*B*b^10*d^7*e^4 - 12180*B*a*b^9*d^6*e^5 - 1218*A*b^10*d^6*e^5 + 8631*B*a^2*b^8*d^5*e^6 + 1918*A*a*b^9*d^5*e^6 - 1120*B*a^3*b^7*d^4*e^7 - 420*A*a^2*b^8*d^4*e^7 - 245*B*a^4*b^6*d^3*e^8 - 140*A*a^3*b^7*d^3*e^8 - 84*B*a^5*b^5*d^2*e^9 - 70*A*a^4*b^6*d^2*e^9 - 35*B*a^6*b^4*d*e^10 - 42*A*a^5*b^5*d*e^10 - 16*B*a^7*b^3*e^11 - 28*A*a^6*b^4*e^11)*x^4 + 252*(11253*B*b^10*d^8*e^3 - 26760*B*a*b^9*d^7*e^4 - 2676*A*b^10*d^7*e^4 + 18522*B*a^2*b^8*d^6*e^5 + 4116*A*a*b^9*d^6*e^5 - 2240*B*a^3*b^7*d^5*e^6 - 840*A*a^2*b^8*d^5*e^6 - 490*B*a^4*b^6*d^4*e^7 - 280*A*a^3*b^7*d^4*e^7 - 168*B*a^5*b^5*d^3*e^8 - 140*A*a^4*b^6*d^3*e^8 - 70*B*a^6*b^4*d^2*e^9 - 84*A*a^5*b^5*d^2*e^9 - 32*B*a^7*b^3*d*e^10 - 56*A*a^6*b^4*d*e^10 - 15*B*a^8*b^2*e^11 - 40*A*a^7*b^3*e^11)*x^3 + 36*(36839*B*b^10*d^9*e^2 - 86580*B*a*b^9*d^8*e^3 - 8658*A*b^10*d^8*e^3 + 58806*B*a^2*b^8*d^7*e^4 + 13068*A*a*b^9*d^7*e^4 - 6720*B*a^3*b^7*d^6*e^5 - 2520*A*a^2*b^8*d^6*e^5 - 1470*B*a^4*b^6*d^5*e^6 - 840*A*a^3*b^7*d^5*e^6 - 504*B*a^5*b^5*d^4*e^7 - 420*A*a^4*b^6*d^4*e^7 - 210*B*a^6*b^4*d^3*e^8 - 252*A*a^5*b^5*d^3*e^8 - 96*B*a^7*b^3*d^2*e^9 - 168*A*a^6*b^4*d^2*e^9 - 45*B*a^8*b^2*d*e^10 - 120*A*a^7*b^3*d*e^10 - 20*B*a^9*b*e^11 - 90*A*a^8*b^2*e^11)*x^2 + 9*(39611*B*b^10*d^10*e - 92180*B*a*b^9*d^9*e^2 - 9218*A*b^10*d^9*e^2 + 61641*B*a^2*b^8*d^8*e^3 + 13698*A*a*b^9*d^8*e^3 - 6720*B*a^3*b^7*d^7*e^4 - 2520*A*a^2*b^8*d^7*e^4 - 1470*B*a^4*b^6*d^6*e^5 - 840*A*a^3*b^7*d^6*e^5 - 504*B*a^5*b^5*d^5*e^6 - 420*A*a^4*b^6*d^5*e^6 - 210*B*a^6*b^4*d^4*e^7 - 252*A*a^5*b^5*d^4*e^7 - 96*B*a^7*b^3*d^3*e^8 - 168*A*a^6*b^4*d^3*e^8 - 45*B*a^8*b^2*d^2*e^9 - 120*A*a^7*b^3*d^2*e^9 - 20*B*a^9*b*d*e^10 - 90*A*a^8*b^2*d*e^10 - 7*B*a^10*e^11 - 70*A*a^9*b*e^11)*x)*e^(-12)/(x*e + d)^9","B",0
1099,1,1839,0,1.263755," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^11,x, algorithm=""giac"")","B b^{10} x e^{\left(-11\right)} - {\left(11 \, B b^{10} d - 10 \, B a b^{9} e - A b^{10} e\right)} e^{\left(-12\right)} \log\left({\left| x e + d \right|}\right) - \frac{{\left(55991 \, B b^{10} d^{11} - 73810 \, B a b^{9} d^{10} e - 7381 \, A b^{10} d^{10} e + 11340 \, B a^{2} b^{8} d^{9} e^{2} + 2520 \, A a b^{9} d^{9} e^{2} + 3360 \, B a^{3} b^{7} d^{8} e^{3} + 1260 \, A a^{2} b^{8} d^{8} e^{3} + 1470 \, B a^{4} b^{6} d^{7} e^{4} + 840 \, A a^{3} b^{7} d^{7} e^{4} + 756 \, B a^{5} b^{5} d^{6} e^{5} + 630 \, A a^{4} b^{6} d^{6} e^{5} + 420 \, B a^{6} b^{4} d^{5} e^{6} + 504 \, A a^{5} b^{5} d^{5} e^{6} + 240 \, B a^{7} b^{3} d^{4} e^{7} + 420 \, A a^{6} b^{4} d^{4} e^{7} + 135 \, B a^{8} b^{2} d^{3} e^{8} + 360 \, A a^{7} b^{3} d^{3} e^{8} + 70 \, B a^{9} b d^{2} e^{9} + 315 \, A a^{8} b^{2} d^{2} e^{9} + 28 \, B a^{10} d e^{10} + 280 \, A a^{9} b d e^{10} + 252 \, A a^{10} e^{11} + 12600 \, {\left(11 \, B b^{10} d^{2} e^{9} - 20 \, B a b^{9} d e^{10} - 2 \, A b^{10} d e^{10} + 9 \, B a^{2} b^{8} e^{11} + 2 \, A a b^{9} e^{11}\right)} x^{9} + 18900 \, {\left(55 \, B b^{10} d^{3} e^{8} - 90 \, B a b^{9} d^{2} e^{9} - 9 \, A b^{10} d^{2} e^{9} + 27 \, B a^{2} b^{8} d e^{10} + 6 \, A a b^{9} d e^{10} + 8 \, B a^{3} b^{7} e^{11} + 3 \, A a^{2} b^{8} e^{11}\right)} x^{8} + 25200 \, {\left(143 \, B b^{10} d^{4} e^{7} - 220 \, B a b^{9} d^{3} e^{8} - 22 \, A b^{10} d^{3} e^{8} + 54 \, B a^{2} b^{8} d^{2} e^{9} + 12 \, A a b^{9} d^{2} e^{9} + 16 \, B a^{3} b^{7} d e^{10} + 6 \, A a^{2} b^{8} d e^{10} + 7 \, B a^{4} b^{6} e^{11} + 4 \, A a^{3} b^{7} e^{11}\right)} x^{7} + 8820 \, {\left(847 \, B b^{10} d^{5} e^{6} - 1250 \, B a b^{9} d^{4} e^{7} - 125 \, A b^{10} d^{4} e^{7} + 270 \, B a^{2} b^{8} d^{3} e^{8} + 60 \, A a b^{9} d^{3} e^{8} + 80 \, B a^{3} b^{7} d^{2} e^{9} + 30 \, A a^{2} b^{8} d^{2} e^{9} + 35 \, B a^{4} b^{6} d e^{10} + 20 \, A a^{3} b^{7} d e^{10} + 18 \, B a^{5} b^{5} e^{11} + 15 \, A a^{4} b^{6} e^{11}\right)} x^{6} + 10584 \, {\left(957 \, B b^{10} d^{6} e^{5} - 1370 \, B a b^{9} d^{5} e^{6} - 137 \, A b^{10} d^{5} e^{6} + 270 \, B a^{2} b^{8} d^{4} e^{7} + 60 \, A a b^{9} d^{4} e^{7} + 80 \, B a^{3} b^{7} d^{3} e^{8} + 30 \, A a^{2} b^{8} d^{3} e^{8} + 35 \, B a^{4} b^{6} d^{2} e^{9} + 20 \, A a^{3} b^{7} d^{2} e^{9} + 18 \, B a^{5} b^{5} d e^{10} + 15 \, A a^{4} b^{6} d e^{10} + 10 \, B a^{6} b^{4} e^{11} + 12 \, A a^{5} b^{5} e^{11}\right)} x^{5} + 1260 \, {\left(7359 \, B b^{10} d^{7} e^{4} - 10290 \, B a b^{9} d^{6} e^{5} - 1029 \, A b^{10} d^{6} e^{5} + 1890 \, B a^{2} b^{8} d^{5} e^{6} + 420 \, A a b^{9} d^{5} e^{6} + 560 \, B a^{3} b^{7} d^{4} e^{7} + 210 \, A a^{2} b^{8} d^{4} e^{7} + 245 \, B a^{4} b^{6} d^{3} e^{8} + 140 \, A a^{3} b^{7} d^{3} e^{8} + 126 \, B a^{5} b^{5} d^{2} e^{9} + 105 \, A a^{4} b^{6} d^{2} e^{9} + 70 \, B a^{6} b^{4} d e^{10} + 84 \, A a^{5} b^{5} d e^{10} + 40 \, B a^{7} b^{3} e^{11} + 70 \, A a^{6} b^{4} e^{11}\right)} x^{4} + 360 \, {\left(15873 \, B b^{10} d^{8} e^{3} - 21780 \, B a b^{9} d^{7} e^{4} - 2178 \, A b^{10} d^{7} e^{4} + 3780 \, B a^{2} b^{8} d^{6} e^{5} + 840 \, A a b^{9} d^{6} e^{5} + 1120 \, B a^{3} b^{7} d^{5} e^{6} + 420 \, A a^{2} b^{8} d^{5} e^{6} + 490 \, B a^{4} b^{6} d^{4} e^{7} + 280 \, A a^{3} b^{7} d^{4} e^{7} + 252 \, B a^{5} b^{5} d^{3} e^{8} + 210 \, A a^{4} b^{6} d^{3} e^{8} + 140 \, B a^{6} b^{4} d^{2} e^{9} + 168 \, A a^{5} b^{5} d^{2} e^{9} + 80 \, B a^{7} b^{3} d e^{10} + 140 \, A a^{6} b^{4} d e^{10} + 45 \, B a^{8} b^{2} e^{11} + 120 \, A a^{7} b^{3} e^{11}\right)} x^{3} + 45 \, {\left(50699 \, B b^{10} d^{9} e^{2} - 68490 \, B a b^{9} d^{8} e^{3} - 6849 \, A b^{10} d^{8} e^{3} + 11340 \, B a^{2} b^{8} d^{7} e^{4} + 2520 \, A a b^{9} d^{7} e^{4} + 3360 \, B a^{3} b^{7} d^{6} e^{5} + 1260 \, A a^{2} b^{8} d^{6} e^{5} + 1470 \, B a^{4} b^{6} d^{5} e^{6} + 840 \, A a^{3} b^{7} d^{5} e^{6} + 756 \, B a^{5} b^{5} d^{4} e^{7} + 630 \, A a^{4} b^{6} d^{4} e^{7} + 420 \, B a^{6} b^{4} d^{3} e^{8} + 504 \, A a^{5} b^{5} d^{3} e^{8} + 240 \, B a^{7} b^{3} d^{2} e^{9} + 420 \, A a^{6} b^{4} d^{2} e^{9} + 135 \, B a^{8} b^{2} d e^{10} + 360 \, A a^{7} b^{3} d e^{10} + 70 \, B a^{9} b e^{11} + 315 \, A a^{8} b^{2} e^{11}\right)} x^{2} + 10 \, {\left(53471 \, B b^{10} d^{10} e - 71290 \, B a b^{9} d^{9} e^{2} - 7129 \, A b^{10} d^{9} e^{2} + 11340 \, B a^{2} b^{8} d^{8} e^{3} + 2520 \, A a b^{9} d^{8} e^{3} + 3360 \, B a^{3} b^{7} d^{7} e^{4} + 1260 \, A a^{2} b^{8} d^{7} e^{4} + 1470 \, B a^{4} b^{6} d^{6} e^{5} + 840 \, A a^{3} b^{7} d^{6} e^{5} + 756 \, B a^{5} b^{5} d^{5} e^{6} + 630 \, A a^{4} b^{6} d^{5} e^{6} + 420 \, B a^{6} b^{4} d^{4} e^{7} + 504 \, A a^{5} b^{5} d^{4} e^{7} + 240 \, B a^{7} b^{3} d^{3} e^{8} + 420 \, A a^{6} b^{4} d^{3} e^{8} + 135 \, B a^{8} b^{2} d^{2} e^{9} + 360 \, A a^{7} b^{3} d^{2} e^{9} + 70 \, B a^{9} b d e^{10} + 315 \, A a^{8} b^{2} d e^{10} + 28 \, B a^{10} e^{11} + 280 \, A a^{9} b e^{11}\right)} x\right)} e^{\left(-12\right)}}{2520 \, {\left(x e + d\right)}^{10}}"," ",0,"B*b^10*x*e^(-11) - (11*B*b^10*d - 10*B*a*b^9*e - A*b^10*e)*e^(-12)*log(abs(x*e + d)) - 1/2520*(55991*B*b^10*d^11 - 73810*B*a*b^9*d^10*e - 7381*A*b^10*d^10*e + 11340*B*a^2*b^8*d^9*e^2 + 2520*A*a*b^9*d^9*e^2 + 3360*B*a^3*b^7*d^8*e^3 + 1260*A*a^2*b^8*d^8*e^3 + 1470*B*a^4*b^6*d^7*e^4 + 840*A*a^3*b^7*d^7*e^4 + 756*B*a^5*b^5*d^6*e^5 + 630*A*a^4*b^6*d^6*e^5 + 420*B*a^6*b^4*d^5*e^6 + 504*A*a^5*b^5*d^5*e^6 + 240*B*a^7*b^3*d^4*e^7 + 420*A*a^6*b^4*d^4*e^7 + 135*B*a^8*b^2*d^3*e^8 + 360*A*a^7*b^3*d^3*e^8 + 70*B*a^9*b*d^2*e^9 + 315*A*a^8*b^2*d^2*e^9 + 28*B*a^10*d*e^10 + 280*A*a^9*b*d*e^10 + 252*A*a^10*e^11 + 12600*(11*B*b^10*d^2*e^9 - 20*B*a*b^9*d*e^10 - 2*A*b^10*d*e^10 + 9*B*a^2*b^8*e^11 + 2*A*a*b^9*e^11)*x^9 + 18900*(55*B*b^10*d^3*e^8 - 90*B*a*b^9*d^2*e^9 - 9*A*b^10*d^2*e^9 + 27*B*a^2*b^8*d*e^10 + 6*A*a*b^9*d*e^10 + 8*B*a^3*b^7*e^11 + 3*A*a^2*b^8*e^11)*x^8 + 25200*(143*B*b^10*d^4*e^7 - 220*B*a*b^9*d^3*e^8 - 22*A*b^10*d^3*e^8 + 54*B*a^2*b^8*d^2*e^9 + 12*A*a*b^9*d^2*e^9 + 16*B*a^3*b^7*d*e^10 + 6*A*a^2*b^8*d*e^10 + 7*B*a^4*b^6*e^11 + 4*A*a^3*b^7*e^11)*x^7 + 8820*(847*B*b^10*d^5*e^6 - 1250*B*a*b^9*d^4*e^7 - 125*A*b^10*d^4*e^7 + 270*B*a^2*b^8*d^3*e^8 + 60*A*a*b^9*d^3*e^8 + 80*B*a^3*b^7*d^2*e^9 + 30*A*a^2*b^8*d^2*e^9 + 35*B*a^4*b^6*d*e^10 + 20*A*a^3*b^7*d*e^10 + 18*B*a^5*b^5*e^11 + 15*A*a^4*b^6*e^11)*x^6 + 10584*(957*B*b^10*d^6*e^5 - 1370*B*a*b^9*d^5*e^6 - 137*A*b^10*d^5*e^6 + 270*B*a^2*b^8*d^4*e^7 + 60*A*a*b^9*d^4*e^7 + 80*B*a^3*b^7*d^3*e^8 + 30*A*a^2*b^8*d^3*e^8 + 35*B*a^4*b^6*d^2*e^9 + 20*A*a^3*b^7*d^2*e^9 + 18*B*a^5*b^5*d*e^10 + 15*A*a^4*b^6*d*e^10 + 10*B*a^6*b^4*e^11 + 12*A*a^5*b^5*e^11)*x^5 + 1260*(7359*B*b^10*d^7*e^4 - 10290*B*a*b^9*d^6*e^5 - 1029*A*b^10*d^6*e^5 + 1890*B*a^2*b^8*d^5*e^6 + 420*A*a*b^9*d^5*e^6 + 560*B*a^3*b^7*d^4*e^7 + 210*A*a^2*b^8*d^4*e^7 + 245*B*a^4*b^6*d^3*e^8 + 140*A*a^3*b^7*d^3*e^8 + 126*B*a^5*b^5*d^2*e^9 + 105*A*a^4*b^6*d^2*e^9 + 70*B*a^6*b^4*d*e^10 + 84*A*a^5*b^5*d*e^10 + 40*B*a^7*b^3*e^11 + 70*A*a^6*b^4*e^11)*x^4 + 360*(15873*B*b^10*d^8*e^3 - 21780*B*a*b^9*d^7*e^4 - 2178*A*b^10*d^7*e^4 + 3780*B*a^2*b^8*d^6*e^5 + 840*A*a*b^9*d^6*e^5 + 1120*B*a^3*b^7*d^5*e^6 + 420*A*a^2*b^8*d^5*e^6 + 490*B*a^4*b^6*d^4*e^7 + 280*A*a^3*b^7*d^4*e^7 + 252*B*a^5*b^5*d^3*e^8 + 210*A*a^4*b^6*d^3*e^8 + 140*B*a^6*b^4*d^2*e^9 + 168*A*a^5*b^5*d^2*e^9 + 80*B*a^7*b^3*d*e^10 + 140*A*a^6*b^4*d*e^10 + 45*B*a^8*b^2*e^11 + 120*A*a^7*b^3*e^11)*x^3 + 45*(50699*B*b^10*d^9*e^2 - 68490*B*a*b^9*d^8*e^3 - 6849*A*b^10*d^8*e^3 + 11340*B*a^2*b^8*d^7*e^4 + 2520*A*a*b^9*d^7*e^4 + 3360*B*a^3*b^7*d^6*e^5 + 1260*A*a^2*b^8*d^6*e^5 + 1470*B*a^4*b^6*d^5*e^6 + 840*A*a^3*b^7*d^5*e^6 + 756*B*a^5*b^5*d^4*e^7 + 630*A*a^4*b^6*d^4*e^7 + 420*B*a^6*b^4*d^3*e^8 + 504*A*a^5*b^5*d^3*e^8 + 240*B*a^7*b^3*d^2*e^9 + 420*A*a^6*b^4*d^2*e^9 + 135*B*a^8*b^2*d*e^10 + 360*A*a^7*b^3*d*e^10 + 70*B*a^9*b*e^11 + 315*A*a^8*b^2*e^11)*x^2 + 10*(53471*B*b^10*d^10*e - 71290*B*a*b^9*d^9*e^2 - 7129*A*b^10*d^9*e^2 + 11340*B*a^2*b^8*d^8*e^3 + 2520*A*a*b^9*d^8*e^3 + 3360*B*a^3*b^7*d^7*e^4 + 1260*A*a^2*b^8*d^7*e^4 + 1470*B*a^4*b^6*d^6*e^5 + 840*A*a^3*b^7*d^6*e^5 + 756*B*a^5*b^5*d^5*e^6 + 630*A*a^4*b^6*d^5*e^6 + 420*B*a^6*b^4*d^4*e^7 + 504*A*a^5*b^5*d^4*e^7 + 240*B*a^7*b^3*d^3*e^8 + 420*A*a^6*b^4*d^3*e^8 + 135*B*a^8*b^2*d^2*e^9 + 360*A*a^7*b^3*d^2*e^9 + 70*B*a^9*b*d*e^10 + 315*A*a^8*b^2*d*e^10 + 28*B*a^10*e^11 + 280*A*a^9*b*e^11)*x)*e^(-12)/(x*e + d)^10","B",0
1100,1,1843,0,1.366992," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^12,x, algorithm=""giac"")","B b^{10} e^{\left(-12\right)} \log\left({\left| x e + d \right|}\right) + \frac{{\left(27720 \, {\left(11 \, B b^{10} d e^{9} - 10 \, B a b^{9} e^{10} - A b^{10} e^{10}\right)} x^{10} + 69300 \, {\left(33 \, B b^{10} d^{2} e^{8} - 20 \, B a b^{9} d e^{9} - 2 \, A b^{10} d e^{9} - 9 \, B a^{2} b^{8} e^{10} - 2 \, A a b^{9} e^{10}\right)} x^{9} + 69300 \, {\left(121 \, B b^{10} d^{3} e^{7} - 60 \, B a b^{9} d^{2} e^{8} - 6 \, A b^{10} d^{2} e^{8} - 27 \, B a^{2} b^{8} d e^{9} - 6 \, A a b^{9} d e^{9} - 16 \, B a^{3} b^{7} e^{10} - 6 \, A a^{2} b^{8} e^{10}\right)} x^{8} + 69300 \, {\left(275 \, B b^{10} d^{4} e^{6} - 120 \, B a b^{9} d^{3} e^{7} - 12 \, A b^{10} d^{3} e^{7} - 54 \, B a^{2} b^{8} d^{2} e^{8} - 12 \, A a b^{9} d^{2} e^{8} - 32 \, B a^{3} b^{7} d e^{9} - 12 \, A a^{2} b^{8} d e^{9} - 21 \, B a^{4} b^{6} e^{10} - 12 \, A a^{3} b^{7} e^{10}\right)} x^{7} + 19404 \, {\left(1507 \, B b^{10} d^{5} e^{5} - 600 \, B a b^{9} d^{4} e^{6} - 60 \, A b^{10} d^{4} e^{6} - 270 \, B a^{2} b^{8} d^{3} e^{7} - 60 \, A a b^{9} d^{3} e^{7} - 160 \, B a^{3} b^{7} d^{2} e^{8} - 60 \, A a^{2} b^{8} d^{2} e^{8} - 105 \, B a^{4} b^{6} d e^{9} - 60 \, A a^{3} b^{7} d e^{9} - 72 \, B a^{5} b^{5} e^{10} - 60 \, A a^{4} b^{6} e^{10}\right)} x^{6} + 19404 \, {\left(1617 \, B b^{10} d^{6} e^{4} - 600 \, B a b^{9} d^{5} e^{5} - 60 \, A b^{10} d^{5} e^{5} - 270 \, B a^{2} b^{8} d^{4} e^{6} - 60 \, A a b^{9} d^{4} e^{6} - 160 \, B a^{3} b^{7} d^{3} e^{7} - 60 \, A a^{2} b^{8} d^{3} e^{7} - 105 \, B a^{4} b^{6} d^{2} e^{8} - 60 \, A a^{3} b^{7} d^{2} e^{8} - 72 \, B a^{5} b^{5} d e^{9} - 60 \, A a^{4} b^{6} d e^{9} - 50 \, B a^{6} b^{4} e^{10} - 60 \, A a^{5} b^{5} e^{10}\right)} x^{5} + 1980 \, {\left(11979 \, B b^{10} d^{7} e^{3} - 4200 \, B a b^{9} d^{6} e^{4} - 420 \, A b^{10} d^{6} e^{4} - 1890 \, B a^{2} b^{8} d^{5} e^{5} - 420 \, A a b^{9} d^{5} e^{5} - 1120 \, B a^{3} b^{7} d^{4} e^{6} - 420 \, A a^{2} b^{8} d^{4} e^{6} - 735 \, B a^{4} b^{6} d^{3} e^{7} - 420 \, A a^{3} b^{7} d^{3} e^{7} - 504 \, B a^{5} b^{5} d^{2} e^{8} - 420 \, A a^{4} b^{6} d^{2} e^{8} - 350 \, B a^{6} b^{4} d e^{9} - 420 \, A a^{5} b^{5} d e^{9} - 240 \, B a^{7} b^{3} e^{10} - 420 \, A a^{6} b^{4} e^{10}\right)} x^{4} + 495 \, {\left(25113 \, B b^{10} d^{8} e^{2} - 8400 \, B a b^{9} d^{7} e^{3} - 840 \, A b^{10} d^{7} e^{3} - 3780 \, B a^{2} b^{8} d^{6} e^{4} - 840 \, A a b^{9} d^{6} e^{4} - 2240 \, B a^{3} b^{7} d^{5} e^{5} - 840 \, A a^{2} b^{8} d^{5} e^{5} - 1470 \, B a^{4} b^{6} d^{4} e^{6} - 840 \, A a^{3} b^{7} d^{4} e^{6} - 1008 \, B a^{5} b^{5} d^{3} e^{7} - 840 \, A a^{4} b^{6} d^{3} e^{7} - 700 \, B a^{6} b^{4} d^{2} e^{8} - 840 \, A a^{5} b^{5} d^{2} e^{8} - 480 \, B a^{7} b^{3} d e^{9} - 840 \, A a^{6} b^{4} d e^{9} - 315 \, B a^{8} b^{2} e^{10} - 840 \, A a^{7} b^{3} e^{10}\right)} x^{3} + 55 \, {\left(78419 \, B b^{10} d^{9} e - 25200 \, B a b^{9} d^{8} e^{2} - 2520 \, A b^{10} d^{8} e^{2} - 11340 \, B a^{2} b^{8} d^{7} e^{3} - 2520 \, A a b^{9} d^{7} e^{3} - 6720 \, B a^{3} b^{7} d^{6} e^{4} - 2520 \, A a^{2} b^{8} d^{6} e^{4} - 4410 \, B a^{4} b^{6} d^{5} e^{5} - 2520 \, A a^{3} b^{7} d^{5} e^{5} - 3024 \, B a^{5} b^{5} d^{4} e^{6} - 2520 \, A a^{4} b^{6} d^{4} e^{6} - 2100 \, B a^{6} b^{4} d^{3} e^{7} - 2520 \, A a^{5} b^{5} d^{3} e^{7} - 1440 \, B a^{7} b^{3} d^{2} e^{8} - 2520 \, A a^{6} b^{4} d^{2} e^{8} - 945 \, B a^{8} b^{2} d e^{9} - 2520 \, A a^{7} b^{3} d e^{9} - 560 \, B a^{9} b e^{10} - 2520 \, A a^{8} b^{2} e^{10}\right)} x^{2} + 11 \, {\left(81191 \, B b^{10} d^{10} - 25200 \, B a b^{9} d^{9} e - 2520 \, A b^{10} d^{9} e - 11340 \, B a^{2} b^{8} d^{8} e^{2} - 2520 \, A a b^{9} d^{8} e^{2} - 6720 \, B a^{3} b^{7} d^{7} e^{3} - 2520 \, A a^{2} b^{8} d^{7} e^{3} - 4410 \, B a^{4} b^{6} d^{6} e^{4} - 2520 \, A a^{3} b^{7} d^{6} e^{4} - 3024 \, B a^{5} b^{5} d^{5} e^{5} - 2520 \, A a^{4} b^{6} d^{5} e^{5} - 2100 \, B a^{6} b^{4} d^{4} e^{6} - 2520 \, A a^{5} b^{5} d^{4} e^{6} - 1440 \, B a^{7} b^{3} d^{3} e^{7} - 2520 \, A a^{6} b^{4} d^{3} e^{7} - 945 \, B a^{8} b^{2} d^{2} e^{8} - 2520 \, A a^{7} b^{3} d^{2} e^{8} - 560 \, B a^{9} b d e^{9} - 2520 \, A a^{8} b^{2} d e^{9} - 252 \, B a^{10} e^{10} - 2520 \, A a^{9} b e^{10}\right)} x + {\left(83711 \, B b^{10} d^{11} - 25200 \, B a b^{9} d^{10} e - 2520 \, A b^{10} d^{10} e - 11340 \, B a^{2} b^{8} d^{9} e^{2} - 2520 \, A a b^{9} d^{9} e^{2} - 6720 \, B a^{3} b^{7} d^{8} e^{3} - 2520 \, A a^{2} b^{8} d^{8} e^{3} - 4410 \, B a^{4} b^{6} d^{7} e^{4} - 2520 \, A a^{3} b^{7} d^{7} e^{4} - 3024 \, B a^{5} b^{5} d^{6} e^{5} - 2520 \, A a^{4} b^{6} d^{6} e^{5} - 2100 \, B a^{6} b^{4} d^{5} e^{6} - 2520 \, A a^{5} b^{5} d^{5} e^{6} - 1440 \, B a^{7} b^{3} d^{4} e^{7} - 2520 \, A a^{6} b^{4} d^{4} e^{7} - 945 \, B a^{8} b^{2} d^{3} e^{8} - 2520 \, A a^{7} b^{3} d^{3} e^{8} - 560 \, B a^{9} b d^{2} e^{9} - 2520 \, A a^{8} b^{2} d^{2} e^{9} - 252 \, B a^{10} d e^{10} - 2520 \, A a^{9} b d e^{10} - 2520 \, A a^{10} e^{11}\right)} e^{\left(-1\right)}\right)} e^{\left(-11\right)}}{27720 \, {\left(x e + d\right)}^{11}}"," ",0,"B*b^10*e^(-12)*log(abs(x*e + d)) + 1/27720*(27720*(11*B*b^10*d*e^9 - 10*B*a*b^9*e^10 - A*b^10*e^10)*x^10 + 69300*(33*B*b^10*d^2*e^8 - 20*B*a*b^9*d*e^9 - 2*A*b^10*d*e^9 - 9*B*a^2*b^8*e^10 - 2*A*a*b^9*e^10)*x^9 + 69300*(121*B*b^10*d^3*e^7 - 60*B*a*b^9*d^2*e^8 - 6*A*b^10*d^2*e^8 - 27*B*a^2*b^8*d*e^9 - 6*A*a*b^9*d*e^9 - 16*B*a^3*b^7*e^10 - 6*A*a^2*b^8*e^10)*x^8 + 69300*(275*B*b^10*d^4*e^6 - 120*B*a*b^9*d^3*e^7 - 12*A*b^10*d^3*e^7 - 54*B*a^2*b^8*d^2*e^8 - 12*A*a*b^9*d^2*e^8 - 32*B*a^3*b^7*d*e^9 - 12*A*a^2*b^8*d*e^9 - 21*B*a^4*b^6*e^10 - 12*A*a^3*b^7*e^10)*x^7 + 19404*(1507*B*b^10*d^5*e^5 - 600*B*a*b^9*d^4*e^6 - 60*A*b^10*d^4*e^6 - 270*B*a^2*b^8*d^3*e^7 - 60*A*a*b^9*d^3*e^7 - 160*B*a^3*b^7*d^2*e^8 - 60*A*a^2*b^8*d^2*e^8 - 105*B*a^4*b^6*d*e^9 - 60*A*a^3*b^7*d*e^9 - 72*B*a^5*b^5*e^10 - 60*A*a^4*b^6*e^10)*x^6 + 19404*(1617*B*b^10*d^6*e^4 - 600*B*a*b^9*d^5*e^5 - 60*A*b^10*d^5*e^5 - 270*B*a^2*b^8*d^4*e^6 - 60*A*a*b^9*d^4*e^6 - 160*B*a^3*b^7*d^3*e^7 - 60*A*a^2*b^8*d^3*e^7 - 105*B*a^4*b^6*d^2*e^8 - 60*A*a^3*b^7*d^2*e^8 - 72*B*a^5*b^5*d*e^9 - 60*A*a^4*b^6*d*e^9 - 50*B*a^6*b^4*e^10 - 60*A*a^5*b^5*e^10)*x^5 + 1980*(11979*B*b^10*d^7*e^3 - 4200*B*a*b^9*d^6*e^4 - 420*A*b^10*d^6*e^4 - 1890*B*a^2*b^8*d^5*e^5 - 420*A*a*b^9*d^5*e^5 - 1120*B*a^3*b^7*d^4*e^6 - 420*A*a^2*b^8*d^4*e^6 - 735*B*a^4*b^6*d^3*e^7 - 420*A*a^3*b^7*d^3*e^7 - 504*B*a^5*b^5*d^2*e^8 - 420*A*a^4*b^6*d^2*e^8 - 350*B*a^6*b^4*d*e^9 - 420*A*a^5*b^5*d*e^9 - 240*B*a^7*b^3*e^10 - 420*A*a^6*b^4*e^10)*x^4 + 495*(25113*B*b^10*d^8*e^2 - 8400*B*a*b^9*d^7*e^3 - 840*A*b^10*d^7*e^3 - 3780*B*a^2*b^8*d^6*e^4 - 840*A*a*b^9*d^6*e^4 - 2240*B*a^3*b^7*d^5*e^5 - 840*A*a^2*b^8*d^5*e^5 - 1470*B*a^4*b^6*d^4*e^6 - 840*A*a^3*b^7*d^4*e^6 - 1008*B*a^5*b^5*d^3*e^7 - 840*A*a^4*b^6*d^3*e^7 - 700*B*a^6*b^4*d^2*e^8 - 840*A*a^5*b^5*d^2*e^8 - 480*B*a^7*b^3*d*e^9 - 840*A*a^6*b^4*d*e^9 - 315*B*a^8*b^2*e^10 - 840*A*a^7*b^3*e^10)*x^3 + 55*(78419*B*b^10*d^9*e - 25200*B*a*b^9*d^8*e^2 - 2520*A*b^10*d^8*e^2 - 11340*B*a^2*b^8*d^7*e^3 - 2520*A*a*b^9*d^7*e^3 - 6720*B*a^3*b^7*d^6*e^4 - 2520*A*a^2*b^8*d^6*e^4 - 4410*B*a^4*b^6*d^5*e^5 - 2520*A*a^3*b^7*d^5*e^5 - 3024*B*a^5*b^5*d^4*e^6 - 2520*A*a^4*b^6*d^4*e^6 - 2100*B*a^6*b^4*d^3*e^7 - 2520*A*a^5*b^5*d^3*e^7 - 1440*B*a^7*b^3*d^2*e^8 - 2520*A*a^6*b^4*d^2*e^8 - 945*B*a^8*b^2*d*e^9 - 2520*A*a^7*b^3*d*e^9 - 560*B*a^9*b*e^10 - 2520*A*a^8*b^2*e^10)*x^2 + 11*(81191*B*b^10*d^10 - 25200*B*a*b^9*d^9*e - 2520*A*b^10*d^9*e - 11340*B*a^2*b^8*d^8*e^2 - 2520*A*a*b^9*d^8*e^2 - 6720*B*a^3*b^7*d^7*e^3 - 2520*A*a^2*b^8*d^7*e^3 - 4410*B*a^4*b^6*d^6*e^4 - 2520*A*a^3*b^7*d^6*e^4 - 3024*B*a^5*b^5*d^5*e^5 - 2520*A*a^4*b^6*d^5*e^5 - 2100*B*a^6*b^4*d^4*e^6 - 2520*A*a^5*b^5*d^4*e^6 - 1440*B*a^7*b^3*d^3*e^7 - 2520*A*a^6*b^4*d^3*e^7 - 945*B*a^8*b^2*d^2*e^8 - 2520*A*a^7*b^3*d^2*e^8 - 560*B*a^9*b*d*e^9 - 2520*A*a^8*b^2*d*e^9 - 252*B*a^10*e^10 - 2520*A*a^9*b*e^10)*x + (83711*B*b^10*d^11 - 25200*B*a*b^9*d^10*e - 2520*A*b^10*d^10*e - 11340*B*a^2*b^8*d^9*e^2 - 2520*A*a*b^9*d^9*e^2 - 6720*B*a^3*b^7*d^8*e^3 - 2520*A*a^2*b^8*d^8*e^3 - 4410*B*a^4*b^6*d^7*e^4 - 2520*A*a^3*b^7*d^7*e^4 - 3024*B*a^5*b^5*d^6*e^5 - 2520*A*a^4*b^6*d^6*e^5 - 2100*B*a^6*b^4*d^5*e^6 - 2520*A*a^5*b^5*d^5*e^6 - 1440*B*a^7*b^3*d^4*e^7 - 2520*A*a^6*b^4*d^4*e^7 - 945*B*a^8*b^2*d^3*e^8 - 2520*A*a^7*b^3*d^3*e^8 - 560*B*a^9*b*d^2*e^9 - 2520*A*a^8*b^2*d^2*e^9 - 252*B*a^10*d*e^10 - 2520*A*a^9*b*d*e^10 - 2520*A*a^10*e^11)*e^(-1))*e^(-11)/(x*e + d)^11","B",0
1101,1,2094,0,1.274572," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^13,x, algorithm=""giac"")","-\frac{{\left(132 \, B b^{10} x^{11} e^{11} + 726 \, B b^{10} d x^{10} e^{10} + 2420 \, B b^{10} d^{2} x^{9} e^{9} + 5445 \, B b^{10} d^{3} x^{8} e^{8} + 8712 \, B b^{10} d^{4} x^{7} e^{7} + 10164 \, B b^{10} d^{5} x^{6} e^{6} + 8712 \, B b^{10} d^{6} x^{5} e^{5} + 5445 \, B b^{10} d^{7} x^{4} e^{4} + 2420 \, B b^{10} d^{8} x^{3} e^{3} + 726 \, B b^{10} d^{9} x^{2} e^{2} + 132 \, B b^{10} d^{10} x e + 11 \, B b^{10} d^{11} + 660 \, B a b^{9} x^{10} e^{11} + 66 \, A b^{10} x^{10} e^{11} + 2200 \, B a b^{9} d x^{9} e^{10} + 220 \, A b^{10} d x^{9} e^{10} + 4950 \, B a b^{9} d^{2} x^{8} e^{9} + 495 \, A b^{10} d^{2} x^{8} e^{9} + 7920 \, B a b^{9} d^{3} x^{7} e^{8} + 792 \, A b^{10} d^{3} x^{7} e^{8} + 9240 \, B a b^{9} d^{4} x^{6} e^{7} + 924 \, A b^{10} d^{4} x^{6} e^{7} + 7920 \, B a b^{9} d^{5} x^{5} e^{6} + 792 \, A b^{10} d^{5} x^{5} e^{6} + 4950 \, B a b^{9} d^{6} x^{4} e^{5} + 495 \, A b^{10} d^{6} x^{4} e^{5} + 2200 \, B a b^{9} d^{7} x^{3} e^{4} + 220 \, A b^{10} d^{7} x^{3} e^{4} + 660 \, B a b^{9} d^{8} x^{2} e^{3} + 66 \, A b^{10} d^{8} x^{2} e^{3} + 120 \, B a b^{9} d^{9} x e^{2} + 12 \, A b^{10} d^{9} x e^{2} + 10 \, B a b^{9} d^{10} e + A b^{10} d^{10} e + 1980 \, B a^{2} b^{8} x^{9} e^{11} + 440 \, A a b^{9} x^{9} e^{11} + 4455 \, B a^{2} b^{8} d x^{8} e^{10} + 990 \, A a b^{9} d x^{8} e^{10} + 7128 \, B a^{2} b^{8} d^{2} x^{7} e^{9} + 1584 \, A a b^{9} d^{2} x^{7} e^{9} + 8316 \, B a^{2} b^{8} d^{3} x^{6} e^{8} + 1848 \, A a b^{9} d^{3} x^{6} e^{8} + 7128 \, B a^{2} b^{8} d^{4} x^{5} e^{7} + 1584 \, A a b^{9} d^{4} x^{5} e^{7} + 4455 \, B a^{2} b^{8} d^{5} x^{4} e^{6} + 990 \, A a b^{9} d^{5} x^{4} e^{6} + 1980 \, B a^{2} b^{8} d^{6} x^{3} e^{5} + 440 \, A a b^{9} d^{6} x^{3} e^{5} + 594 \, B a^{2} b^{8} d^{7} x^{2} e^{4} + 132 \, A a b^{9} d^{7} x^{2} e^{4} + 108 \, B a^{2} b^{8} d^{8} x e^{3} + 24 \, A a b^{9} d^{8} x e^{3} + 9 \, B a^{2} b^{8} d^{9} e^{2} + 2 \, A a b^{9} d^{9} e^{2} + 3960 \, B a^{3} b^{7} x^{8} e^{11} + 1485 \, A a^{2} b^{8} x^{8} e^{11} + 6336 \, B a^{3} b^{7} d x^{7} e^{10} + 2376 \, A a^{2} b^{8} d x^{7} e^{10} + 7392 \, B a^{3} b^{7} d^{2} x^{6} e^{9} + 2772 \, A a^{2} b^{8} d^{2} x^{6} e^{9} + 6336 \, B a^{3} b^{7} d^{3} x^{5} e^{8} + 2376 \, A a^{2} b^{8} d^{3} x^{5} e^{8} + 3960 \, B a^{3} b^{7} d^{4} x^{4} e^{7} + 1485 \, A a^{2} b^{8} d^{4} x^{4} e^{7} + 1760 \, B a^{3} b^{7} d^{5} x^{3} e^{6} + 660 \, A a^{2} b^{8} d^{5} x^{3} e^{6} + 528 \, B a^{3} b^{7} d^{6} x^{2} e^{5} + 198 \, A a^{2} b^{8} d^{6} x^{2} e^{5} + 96 \, B a^{3} b^{7} d^{7} x e^{4} + 36 \, A a^{2} b^{8} d^{7} x e^{4} + 8 \, B a^{3} b^{7} d^{8} e^{3} + 3 \, A a^{2} b^{8} d^{8} e^{3} + 5544 \, B a^{4} b^{6} x^{7} e^{11} + 3168 \, A a^{3} b^{7} x^{7} e^{11} + 6468 \, B a^{4} b^{6} d x^{6} e^{10} + 3696 \, A a^{3} b^{7} d x^{6} e^{10} + 5544 \, B a^{4} b^{6} d^{2} x^{5} e^{9} + 3168 \, A a^{3} b^{7} d^{2} x^{5} e^{9} + 3465 \, B a^{4} b^{6} d^{3} x^{4} e^{8} + 1980 \, A a^{3} b^{7} d^{3} x^{4} e^{8} + 1540 \, B a^{4} b^{6} d^{4} x^{3} e^{7} + 880 \, A a^{3} b^{7} d^{4} x^{3} e^{7} + 462 \, B a^{4} b^{6} d^{5} x^{2} e^{6} + 264 \, A a^{3} b^{7} d^{5} x^{2} e^{6} + 84 \, B a^{4} b^{6} d^{6} x e^{5} + 48 \, A a^{3} b^{7} d^{6} x e^{5} + 7 \, B a^{4} b^{6} d^{7} e^{4} + 4 \, A a^{3} b^{7} d^{7} e^{4} + 5544 \, B a^{5} b^{5} x^{6} e^{11} + 4620 \, A a^{4} b^{6} x^{6} e^{11} + 4752 \, B a^{5} b^{5} d x^{5} e^{10} + 3960 \, A a^{4} b^{6} d x^{5} e^{10} + 2970 \, B a^{5} b^{5} d^{2} x^{4} e^{9} + 2475 \, A a^{4} b^{6} d^{2} x^{4} e^{9} + 1320 \, B a^{5} b^{5} d^{3} x^{3} e^{8} + 1100 \, A a^{4} b^{6} d^{3} x^{3} e^{8} + 396 \, B a^{5} b^{5} d^{4} x^{2} e^{7} + 330 \, A a^{4} b^{6} d^{4} x^{2} e^{7} + 72 \, B a^{5} b^{5} d^{5} x e^{6} + 60 \, A a^{4} b^{6} d^{5} x e^{6} + 6 \, B a^{5} b^{5} d^{6} e^{5} + 5 \, A a^{4} b^{6} d^{6} e^{5} + 3960 \, B a^{6} b^{4} x^{5} e^{11} + 4752 \, A a^{5} b^{5} x^{5} e^{11} + 2475 \, B a^{6} b^{4} d x^{4} e^{10} + 2970 \, A a^{5} b^{5} d x^{4} e^{10} + 1100 \, B a^{6} b^{4} d^{2} x^{3} e^{9} + 1320 \, A a^{5} b^{5} d^{2} x^{3} e^{9} + 330 \, B a^{6} b^{4} d^{3} x^{2} e^{8} + 396 \, A a^{5} b^{5} d^{3} x^{2} e^{8} + 60 \, B a^{6} b^{4} d^{4} x e^{7} + 72 \, A a^{5} b^{5} d^{4} x e^{7} + 5 \, B a^{6} b^{4} d^{5} e^{6} + 6 \, A a^{5} b^{5} d^{5} e^{6} + 1980 \, B a^{7} b^{3} x^{4} e^{11} + 3465 \, A a^{6} b^{4} x^{4} e^{11} + 880 \, B a^{7} b^{3} d x^{3} e^{10} + 1540 \, A a^{6} b^{4} d x^{3} e^{10} + 264 \, B a^{7} b^{3} d^{2} x^{2} e^{9} + 462 \, A a^{6} b^{4} d^{2} x^{2} e^{9} + 48 \, B a^{7} b^{3} d^{3} x e^{8} + 84 \, A a^{6} b^{4} d^{3} x e^{8} + 4 \, B a^{7} b^{3} d^{4} e^{7} + 7 \, A a^{6} b^{4} d^{4} e^{7} + 660 \, B a^{8} b^{2} x^{3} e^{11} + 1760 \, A a^{7} b^{3} x^{3} e^{11} + 198 \, B a^{8} b^{2} d x^{2} e^{10} + 528 \, A a^{7} b^{3} d x^{2} e^{10} + 36 \, B a^{8} b^{2} d^{2} x e^{9} + 96 \, A a^{7} b^{3} d^{2} x e^{9} + 3 \, B a^{8} b^{2} d^{3} e^{8} + 8 \, A a^{7} b^{3} d^{3} e^{8} + 132 \, B a^{9} b x^{2} e^{11} + 594 \, A a^{8} b^{2} x^{2} e^{11} + 24 \, B a^{9} b d x e^{10} + 108 \, A a^{8} b^{2} d x e^{10} + 2 \, B a^{9} b d^{2} e^{9} + 9 \, A a^{8} b^{2} d^{2} e^{9} + 12 \, B a^{10} x e^{11} + 120 \, A a^{9} b x e^{11} + B a^{10} d e^{10} + 10 \, A a^{9} b d e^{10} + 11 \, A a^{10} e^{11}\right)} e^{\left(-12\right)}}{132 \, {\left(x e + d\right)}^{12}}"," ",0,"-1/132*(132*B*b^10*x^11*e^11 + 726*B*b^10*d*x^10*e^10 + 2420*B*b^10*d^2*x^9*e^9 + 5445*B*b^10*d^3*x^8*e^8 + 8712*B*b^10*d^4*x^7*e^7 + 10164*B*b^10*d^5*x^6*e^6 + 8712*B*b^10*d^6*x^5*e^5 + 5445*B*b^10*d^7*x^4*e^4 + 2420*B*b^10*d^8*x^3*e^3 + 726*B*b^10*d^9*x^2*e^2 + 132*B*b^10*d^10*x*e + 11*B*b^10*d^11 + 660*B*a*b^9*x^10*e^11 + 66*A*b^10*x^10*e^11 + 2200*B*a*b^9*d*x^9*e^10 + 220*A*b^10*d*x^9*e^10 + 4950*B*a*b^9*d^2*x^8*e^9 + 495*A*b^10*d^2*x^8*e^9 + 7920*B*a*b^9*d^3*x^7*e^8 + 792*A*b^10*d^3*x^7*e^8 + 9240*B*a*b^9*d^4*x^6*e^7 + 924*A*b^10*d^4*x^6*e^7 + 7920*B*a*b^9*d^5*x^5*e^6 + 792*A*b^10*d^5*x^5*e^6 + 4950*B*a*b^9*d^6*x^4*e^5 + 495*A*b^10*d^6*x^4*e^5 + 2200*B*a*b^9*d^7*x^3*e^4 + 220*A*b^10*d^7*x^3*e^4 + 660*B*a*b^9*d^8*x^2*e^3 + 66*A*b^10*d^8*x^2*e^3 + 120*B*a*b^9*d^9*x*e^2 + 12*A*b^10*d^9*x*e^2 + 10*B*a*b^9*d^10*e + A*b^10*d^10*e + 1980*B*a^2*b^8*x^9*e^11 + 440*A*a*b^9*x^9*e^11 + 4455*B*a^2*b^8*d*x^8*e^10 + 990*A*a*b^9*d*x^8*e^10 + 7128*B*a^2*b^8*d^2*x^7*e^9 + 1584*A*a*b^9*d^2*x^7*e^9 + 8316*B*a^2*b^8*d^3*x^6*e^8 + 1848*A*a*b^9*d^3*x^6*e^8 + 7128*B*a^2*b^8*d^4*x^5*e^7 + 1584*A*a*b^9*d^4*x^5*e^7 + 4455*B*a^2*b^8*d^5*x^4*e^6 + 990*A*a*b^9*d^5*x^4*e^6 + 1980*B*a^2*b^8*d^6*x^3*e^5 + 440*A*a*b^9*d^6*x^3*e^5 + 594*B*a^2*b^8*d^7*x^2*e^4 + 132*A*a*b^9*d^7*x^2*e^4 + 108*B*a^2*b^8*d^8*x*e^3 + 24*A*a*b^9*d^8*x*e^3 + 9*B*a^2*b^8*d^9*e^2 + 2*A*a*b^9*d^9*e^2 + 3960*B*a^3*b^7*x^8*e^11 + 1485*A*a^2*b^8*x^8*e^11 + 6336*B*a^3*b^7*d*x^7*e^10 + 2376*A*a^2*b^8*d*x^7*e^10 + 7392*B*a^3*b^7*d^2*x^6*e^9 + 2772*A*a^2*b^8*d^2*x^6*e^9 + 6336*B*a^3*b^7*d^3*x^5*e^8 + 2376*A*a^2*b^8*d^3*x^5*e^8 + 3960*B*a^3*b^7*d^4*x^4*e^7 + 1485*A*a^2*b^8*d^4*x^4*e^7 + 1760*B*a^3*b^7*d^5*x^3*e^6 + 660*A*a^2*b^8*d^5*x^3*e^6 + 528*B*a^3*b^7*d^6*x^2*e^5 + 198*A*a^2*b^8*d^6*x^2*e^5 + 96*B*a^3*b^7*d^7*x*e^4 + 36*A*a^2*b^8*d^7*x*e^4 + 8*B*a^3*b^7*d^8*e^3 + 3*A*a^2*b^8*d^8*e^3 + 5544*B*a^4*b^6*x^7*e^11 + 3168*A*a^3*b^7*x^7*e^11 + 6468*B*a^4*b^6*d*x^6*e^10 + 3696*A*a^3*b^7*d*x^6*e^10 + 5544*B*a^4*b^6*d^2*x^5*e^9 + 3168*A*a^3*b^7*d^2*x^5*e^9 + 3465*B*a^4*b^6*d^3*x^4*e^8 + 1980*A*a^3*b^7*d^3*x^4*e^8 + 1540*B*a^4*b^6*d^4*x^3*e^7 + 880*A*a^3*b^7*d^4*x^3*e^7 + 462*B*a^4*b^6*d^5*x^2*e^6 + 264*A*a^3*b^7*d^5*x^2*e^6 + 84*B*a^4*b^6*d^6*x*e^5 + 48*A*a^3*b^7*d^6*x*e^5 + 7*B*a^4*b^6*d^7*e^4 + 4*A*a^3*b^7*d^7*e^4 + 5544*B*a^5*b^5*x^6*e^11 + 4620*A*a^4*b^6*x^6*e^11 + 4752*B*a^5*b^5*d*x^5*e^10 + 3960*A*a^4*b^6*d*x^5*e^10 + 2970*B*a^5*b^5*d^2*x^4*e^9 + 2475*A*a^4*b^6*d^2*x^4*e^9 + 1320*B*a^5*b^5*d^3*x^3*e^8 + 1100*A*a^4*b^6*d^3*x^3*e^8 + 396*B*a^5*b^5*d^4*x^2*e^7 + 330*A*a^4*b^6*d^4*x^2*e^7 + 72*B*a^5*b^5*d^5*x*e^6 + 60*A*a^4*b^6*d^5*x*e^6 + 6*B*a^5*b^5*d^6*e^5 + 5*A*a^4*b^6*d^6*e^5 + 3960*B*a^6*b^4*x^5*e^11 + 4752*A*a^5*b^5*x^5*e^11 + 2475*B*a^6*b^4*d*x^4*e^10 + 2970*A*a^5*b^5*d*x^4*e^10 + 1100*B*a^6*b^4*d^2*x^3*e^9 + 1320*A*a^5*b^5*d^2*x^3*e^9 + 330*B*a^6*b^4*d^3*x^2*e^8 + 396*A*a^5*b^5*d^3*x^2*e^8 + 60*B*a^6*b^4*d^4*x*e^7 + 72*A*a^5*b^5*d^4*x*e^7 + 5*B*a^6*b^4*d^5*e^6 + 6*A*a^5*b^5*d^5*e^6 + 1980*B*a^7*b^3*x^4*e^11 + 3465*A*a^6*b^4*x^4*e^11 + 880*B*a^7*b^3*d*x^3*e^10 + 1540*A*a^6*b^4*d*x^3*e^10 + 264*B*a^7*b^3*d^2*x^2*e^9 + 462*A*a^6*b^4*d^2*x^2*e^9 + 48*B*a^7*b^3*d^3*x*e^8 + 84*A*a^6*b^4*d^3*x*e^8 + 4*B*a^7*b^3*d^4*e^7 + 7*A*a^6*b^4*d^4*e^7 + 660*B*a^8*b^2*x^3*e^11 + 1760*A*a^7*b^3*x^3*e^11 + 198*B*a^8*b^2*d*x^2*e^10 + 528*A*a^7*b^3*d*x^2*e^10 + 36*B*a^8*b^2*d^2*x*e^9 + 96*A*a^7*b^3*d^2*x*e^9 + 3*B*a^8*b^2*d^3*e^8 + 8*A*a^7*b^3*d^3*e^8 + 132*B*a^9*b*x^2*e^11 + 594*A*a^8*b^2*x^2*e^11 + 24*B*a^9*b*d*x*e^10 + 108*A*a^8*b^2*d*x*e^10 + 2*B*a^9*b*d^2*e^9 + 9*A*a^8*b^2*d^2*e^9 + 12*B*a^10*x*e^11 + 120*A*a^9*b*x*e^11 + B*a^10*d*e^10 + 10*A*a^9*b*d*e^10 + 11*A*a^10*e^11)*e^(-12)/(x*e + d)^12","B",0
1102,1,2096,0,1.334650," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^14,x, algorithm=""giac"")","-\frac{{\left(858 \, B b^{10} x^{11} e^{11} + 3146 \, B b^{10} d x^{10} e^{10} + 7865 \, B b^{10} d^{2} x^{9} e^{9} + 14157 \, B b^{10} d^{3} x^{8} e^{8} + 18876 \, B b^{10} d^{4} x^{7} e^{7} + 18876 \, B b^{10} d^{5} x^{6} e^{6} + 14157 \, B b^{10} d^{6} x^{5} e^{5} + 7865 \, B b^{10} d^{7} x^{4} e^{4} + 3146 \, B b^{10} d^{8} x^{3} e^{3} + 858 \, B b^{10} d^{9} x^{2} e^{2} + 143 \, B b^{10} d^{10} x e + 11 \, B b^{10} d^{11} + 5720 \, B a b^{9} x^{10} e^{11} + 572 \, A b^{10} x^{10} e^{11} + 14300 \, B a b^{9} d x^{9} e^{10} + 1430 \, A b^{10} d x^{9} e^{10} + 25740 \, B a b^{9} d^{2} x^{8} e^{9} + 2574 \, A b^{10} d^{2} x^{8} e^{9} + 34320 \, B a b^{9} d^{3} x^{7} e^{8} + 3432 \, A b^{10} d^{3} x^{7} e^{8} + 34320 \, B a b^{9} d^{4} x^{6} e^{7} + 3432 \, A b^{10} d^{4} x^{6} e^{7} + 25740 \, B a b^{9} d^{5} x^{5} e^{6} + 2574 \, A b^{10} d^{5} x^{5} e^{6} + 14300 \, B a b^{9} d^{6} x^{4} e^{5} + 1430 \, A b^{10} d^{6} x^{4} e^{5} + 5720 \, B a b^{9} d^{7} x^{3} e^{4} + 572 \, A b^{10} d^{7} x^{3} e^{4} + 1560 \, B a b^{9} d^{8} x^{2} e^{3} + 156 \, A b^{10} d^{8} x^{2} e^{3} + 260 \, B a b^{9} d^{9} x e^{2} + 26 \, A b^{10} d^{9} x e^{2} + 20 \, B a b^{9} d^{10} e + 2 \, A b^{10} d^{10} e + 19305 \, B a^{2} b^{8} x^{9} e^{11} + 4290 \, A a b^{9} x^{9} e^{11} + 34749 \, B a^{2} b^{8} d x^{8} e^{10} + 7722 \, A a b^{9} d x^{8} e^{10} + 46332 \, B a^{2} b^{8} d^{2} x^{7} e^{9} + 10296 \, A a b^{9} d^{2} x^{7} e^{9} + 46332 \, B a^{2} b^{8} d^{3} x^{6} e^{8} + 10296 \, A a b^{9} d^{3} x^{6} e^{8} + 34749 \, B a^{2} b^{8} d^{4} x^{5} e^{7} + 7722 \, A a b^{9} d^{4} x^{5} e^{7} + 19305 \, B a^{2} b^{8} d^{5} x^{4} e^{6} + 4290 \, A a b^{9} d^{5} x^{4} e^{6} + 7722 \, B a^{2} b^{8} d^{6} x^{3} e^{5} + 1716 \, A a b^{9} d^{6} x^{3} e^{5} + 2106 \, B a^{2} b^{8} d^{7} x^{2} e^{4} + 468 \, A a b^{9} d^{7} x^{2} e^{4} + 351 \, B a^{2} b^{8} d^{8} x e^{3} + 78 \, A a b^{9} d^{8} x e^{3} + 27 \, B a^{2} b^{8} d^{9} e^{2} + 6 \, A a b^{9} d^{9} e^{2} + 41184 \, B a^{3} b^{7} x^{8} e^{11} + 15444 \, A a^{2} b^{8} x^{8} e^{11} + 54912 \, B a^{3} b^{7} d x^{7} e^{10} + 20592 \, A a^{2} b^{8} d x^{7} e^{10} + 54912 \, B a^{3} b^{7} d^{2} x^{6} e^{9} + 20592 \, A a^{2} b^{8} d^{2} x^{6} e^{9} + 41184 \, B a^{3} b^{7} d^{3} x^{5} e^{8} + 15444 \, A a^{2} b^{8} d^{3} x^{5} e^{8} + 22880 \, B a^{3} b^{7} d^{4} x^{4} e^{7} + 8580 \, A a^{2} b^{8} d^{4} x^{4} e^{7} + 9152 \, B a^{3} b^{7} d^{5} x^{3} e^{6} + 3432 \, A a^{2} b^{8} d^{5} x^{3} e^{6} + 2496 \, B a^{3} b^{7} d^{6} x^{2} e^{5} + 936 \, A a^{2} b^{8} d^{6} x^{2} e^{5} + 416 \, B a^{3} b^{7} d^{7} x e^{4} + 156 \, A a^{2} b^{8} d^{7} x e^{4} + 32 \, B a^{3} b^{7} d^{8} e^{3} + 12 \, A a^{2} b^{8} d^{8} e^{3} + 60060 \, B a^{4} b^{6} x^{7} e^{11} + 34320 \, A a^{3} b^{7} x^{7} e^{11} + 60060 \, B a^{4} b^{6} d x^{6} e^{10} + 34320 \, A a^{3} b^{7} d x^{6} e^{10} + 45045 \, B a^{4} b^{6} d^{2} x^{5} e^{9} + 25740 \, A a^{3} b^{7} d^{2} x^{5} e^{9} + 25025 \, B a^{4} b^{6} d^{3} x^{4} e^{8} + 14300 \, A a^{3} b^{7} d^{3} x^{4} e^{8} + 10010 \, B a^{4} b^{6} d^{4} x^{3} e^{7} + 5720 \, A a^{3} b^{7} d^{4} x^{3} e^{7} + 2730 \, B a^{4} b^{6} d^{5} x^{2} e^{6} + 1560 \, A a^{3} b^{7} d^{5} x^{2} e^{6} + 455 \, B a^{4} b^{6} d^{6} x e^{5} + 260 \, A a^{3} b^{7} d^{6} x e^{5} + 35 \, B a^{4} b^{6} d^{7} e^{4} + 20 \, A a^{3} b^{7} d^{7} e^{4} + 61776 \, B a^{5} b^{5} x^{6} e^{11} + 51480 \, A a^{4} b^{6} x^{6} e^{11} + 46332 \, B a^{5} b^{5} d x^{5} e^{10} + 38610 \, A a^{4} b^{6} d x^{5} e^{10} + 25740 \, B a^{5} b^{5} d^{2} x^{4} e^{9} + 21450 \, A a^{4} b^{6} d^{2} x^{4} e^{9} + 10296 \, B a^{5} b^{5} d^{3} x^{3} e^{8} + 8580 \, A a^{4} b^{6} d^{3} x^{3} e^{8} + 2808 \, B a^{5} b^{5} d^{4} x^{2} e^{7} + 2340 \, A a^{4} b^{6} d^{4} x^{2} e^{7} + 468 \, B a^{5} b^{5} d^{5} x e^{6} + 390 \, A a^{4} b^{6} d^{5} x e^{6} + 36 \, B a^{5} b^{5} d^{6} e^{5} + 30 \, A a^{4} b^{6} d^{6} e^{5} + 45045 \, B a^{6} b^{4} x^{5} e^{11} + 54054 \, A a^{5} b^{5} x^{5} e^{11} + 25025 \, B a^{6} b^{4} d x^{4} e^{10} + 30030 \, A a^{5} b^{5} d x^{4} e^{10} + 10010 \, B a^{6} b^{4} d^{2} x^{3} e^{9} + 12012 \, A a^{5} b^{5} d^{2} x^{3} e^{9} + 2730 \, B a^{6} b^{4} d^{3} x^{2} e^{8} + 3276 \, A a^{5} b^{5} d^{3} x^{2} e^{8} + 455 \, B a^{6} b^{4} d^{4} x e^{7} + 546 \, A a^{5} b^{5} d^{4} x e^{7} + 35 \, B a^{6} b^{4} d^{5} e^{6} + 42 \, A a^{5} b^{5} d^{5} e^{6} + 22880 \, B a^{7} b^{3} x^{4} e^{11} + 40040 \, A a^{6} b^{4} x^{4} e^{11} + 9152 \, B a^{7} b^{3} d x^{3} e^{10} + 16016 \, A a^{6} b^{4} d x^{3} e^{10} + 2496 \, B a^{7} b^{3} d^{2} x^{2} e^{9} + 4368 \, A a^{6} b^{4} d^{2} x^{2} e^{9} + 416 \, B a^{7} b^{3} d^{3} x e^{8} + 728 \, A a^{6} b^{4} d^{3} x e^{8} + 32 \, B a^{7} b^{3} d^{4} e^{7} + 56 \, A a^{6} b^{4} d^{4} e^{7} + 7722 \, B a^{8} b^{2} x^{3} e^{11} + 20592 \, A a^{7} b^{3} x^{3} e^{11} + 2106 \, B a^{8} b^{2} d x^{2} e^{10} + 5616 \, A a^{7} b^{3} d x^{2} e^{10} + 351 \, B a^{8} b^{2} d^{2} x e^{9} + 936 \, A a^{7} b^{3} d^{2} x e^{9} + 27 \, B a^{8} b^{2} d^{3} e^{8} + 72 \, A a^{7} b^{3} d^{3} e^{8} + 1560 \, B a^{9} b x^{2} e^{11} + 7020 \, A a^{8} b^{2} x^{2} e^{11} + 260 \, B a^{9} b d x e^{10} + 1170 \, A a^{8} b^{2} d x e^{10} + 20 \, B a^{9} b d^{2} e^{9} + 90 \, A a^{8} b^{2} d^{2} e^{9} + 143 \, B a^{10} x e^{11} + 1430 \, A a^{9} b x e^{11} + 11 \, B a^{10} d e^{10} + 110 \, A a^{9} b d e^{10} + 132 \, A a^{10} e^{11}\right)} e^{\left(-12\right)}}{1716 \, {\left(x e + d\right)}^{13}}"," ",0,"-1/1716*(858*B*b^10*x^11*e^11 + 3146*B*b^10*d*x^10*e^10 + 7865*B*b^10*d^2*x^9*e^9 + 14157*B*b^10*d^3*x^8*e^8 + 18876*B*b^10*d^4*x^7*e^7 + 18876*B*b^10*d^5*x^6*e^6 + 14157*B*b^10*d^6*x^5*e^5 + 7865*B*b^10*d^7*x^4*e^4 + 3146*B*b^10*d^8*x^3*e^3 + 858*B*b^10*d^9*x^2*e^2 + 143*B*b^10*d^10*x*e + 11*B*b^10*d^11 + 5720*B*a*b^9*x^10*e^11 + 572*A*b^10*x^10*e^11 + 14300*B*a*b^9*d*x^9*e^10 + 1430*A*b^10*d*x^9*e^10 + 25740*B*a*b^9*d^2*x^8*e^9 + 2574*A*b^10*d^2*x^8*e^9 + 34320*B*a*b^9*d^3*x^7*e^8 + 3432*A*b^10*d^3*x^7*e^8 + 34320*B*a*b^9*d^4*x^6*e^7 + 3432*A*b^10*d^4*x^6*e^7 + 25740*B*a*b^9*d^5*x^5*e^6 + 2574*A*b^10*d^5*x^5*e^6 + 14300*B*a*b^9*d^6*x^4*e^5 + 1430*A*b^10*d^6*x^4*e^5 + 5720*B*a*b^9*d^7*x^3*e^4 + 572*A*b^10*d^7*x^3*e^4 + 1560*B*a*b^9*d^8*x^2*e^3 + 156*A*b^10*d^8*x^2*e^3 + 260*B*a*b^9*d^9*x*e^2 + 26*A*b^10*d^9*x*e^2 + 20*B*a*b^9*d^10*e + 2*A*b^10*d^10*e + 19305*B*a^2*b^8*x^9*e^11 + 4290*A*a*b^9*x^9*e^11 + 34749*B*a^2*b^8*d*x^8*e^10 + 7722*A*a*b^9*d*x^8*e^10 + 46332*B*a^2*b^8*d^2*x^7*e^9 + 10296*A*a*b^9*d^2*x^7*e^9 + 46332*B*a^2*b^8*d^3*x^6*e^8 + 10296*A*a*b^9*d^3*x^6*e^8 + 34749*B*a^2*b^8*d^4*x^5*e^7 + 7722*A*a*b^9*d^4*x^5*e^7 + 19305*B*a^2*b^8*d^5*x^4*e^6 + 4290*A*a*b^9*d^5*x^4*e^6 + 7722*B*a^2*b^8*d^6*x^3*e^5 + 1716*A*a*b^9*d^6*x^3*e^5 + 2106*B*a^2*b^8*d^7*x^2*e^4 + 468*A*a*b^9*d^7*x^2*e^4 + 351*B*a^2*b^8*d^8*x*e^3 + 78*A*a*b^9*d^8*x*e^3 + 27*B*a^2*b^8*d^9*e^2 + 6*A*a*b^9*d^9*e^2 + 41184*B*a^3*b^7*x^8*e^11 + 15444*A*a^2*b^8*x^8*e^11 + 54912*B*a^3*b^7*d*x^7*e^10 + 20592*A*a^2*b^8*d*x^7*e^10 + 54912*B*a^3*b^7*d^2*x^6*e^9 + 20592*A*a^2*b^8*d^2*x^6*e^9 + 41184*B*a^3*b^7*d^3*x^5*e^8 + 15444*A*a^2*b^8*d^3*x^5*e^8 + 22880*B*a^3*b^7*d^4*x^4*e^7 + 8580*A*a^2*b^8*d^4*x^4*e^7 + 9152*B*a^3*b^7*d^5*x^3*e^6 + 3432*A*a^2*b^8*d^5*x^3*e^6 + 2496*B*a^3*b^7*d^6*x^2*e^5 + 936*A*a^2*b^8*d^6*x^2*e^5 + 416*B*a^3*b^7*d^7*x*e^4 + 156*A*a^2*b^8*d^7*x*e^4 + 32*B*a^3*b^7*d^8*e^3 + 12*A*a^2*b^8*d^8*e^3 + 60060*B*a^4*b^6*x^7*e^11 + 34320*A*a^3*b^7*x^7*e^11 + 60060*B*a^4*b^6*d*x^6*e^10 + 34320*A*a^3*b^7*d*x^6*e^10 + 45045*B*a^4*b^6*d^2*x^5*e^9 + 25740*A*a^3*b^7*d^2*x^5*e^9 + 25025*B*a^4*b^6*d^3*x^4*e^8 + 14300*A*a^3*b^7*d^3*x^4*e^8 + 10010*B*a^4*b^6*d^4*x^3*e^7 + 5720*A*a^3*b^7*d^4*x^3*e^7 + 2730*B*a^4*b^6*d^5*x^2*e^6 + 1560*A*a^3*b^7*d^5*x^2*e^6 + 455*B*a^4*b^6*d^6*x*e^5 + 260*A*a^3*b^7*d^6*x*e^5 + 35*B*a^4*b^6*d^7*e^4 + 20*A*a^3*b^7*d^7*e^4 + 61776*B*a^5*b^5*x^6*e^11 + 51480*A*a^4*b^6*x^6*e^11 + 46332*B*a^5*b^5*d*x^5*e^10 + 38610*A*a^4*b^6*d*x^5*e^10 + 25740*B*a^5*b^5*d^2*x^4*e^9 + 21450*A*a^4*b^6*d^2*x^4*e^9 + 10296*B*a^5*b^5*d^3*x^3*e^8 + 8580*A*a^4*b^6*d^3*x^3*e^8 + 2808*B*a^5*b^5*d^4*x^2*e^7 + 2340*A*a^4*b^6*d^4*x^2*e^7 + 468*B*a^5*b^5*d^5*x*e^6 + 390*A*a^4*b^6*d^5*x*e^6 + 36*B*a^5*b^5*d^6*e^5 + 30*A*a^4*b^6*d^6*e^5 + 45045*B*a^6*b^4*x^5*e^11 + 54054*A*a^5*b^5*x^5*e^11 + 25025*B*a^6*b^4*d*x^4*e^10 + 30030*A*a^5*b^5*d*x^4*e^10 + 10010*B*a^6*b^4*d^2*x^3*e^9 + 12012*A*a^5*b^5*d^2*x^3*e^9 + 2730*B*a^6*b^4*d^3*x^2*e^8 + 3276*A*a^5*b^5*d^3*x^2*e^8 + 455*B*a^6*b^4*d^4*x*e^7 + 546*A*a^5*b^5*d^4*x*e^7 + 35*B*a^6*b^4*d^5*e^6 + 42*A*a^5*b^5*d^5*e^6 + 22880*B*a^7*b^3*x^4*e^11 + 40040*A*a^6*b^4*x^4*e^11 + 9152*B*a^7*b^3*d*x^3*e^10 + 16016*A*a^6*b^4*d*x^3*e^10 + 2496*B*a^7*b^3*d^2*x^2*e^9 + 4368*A*a^6*b^4*d^2*x^2*e^9 + 416*B*a^7*b^3*d^3*x*e^8 + 728*A*a^6*b^4*d^3*x*e^8 + 32*B*a^7*b^3*d^4*e^7 + 56*A*a^6*b^4*d^4*e^7 + 7722*B*a^8*b^2*x^3*e^11 + 20592*A*a^7*b^3*x^3*e^11 + 2106*B*a^8*b^2*d*x^2*e^10 + 5616*A*a^7*b^3*d*x^2*e^10 + 351*B*a^8*b^2*d^2*x*e^9 + 936*A*a^7*b^3*d^2*x*e^9 + 27*B*a^8*b^2*d^3*e^8 + 72*A*a^7*b^3*d^3*e^8 + 1560*B*a^9*b*x^2*e^11 + 7020*A*a^8*b^2*x^2*e^11 + 260*B*a^9*b*d*x*e^10 + 1170*A*a^8*b^2*d*x*e^10 + 20*B*a^9*b*d^2*e^9 + 90*A*a^8*b^2*d^2*e^9 + 143*B*a^10*x*e^11 + 1430*A*a^9*b*x*e^11 + 11*B*a^10*d*e^10 + 110*A*a^9*b*d*e^10 + 132*A*a^10*e^11)*e^(-12)/(x*e + d)^13","B",0
1103,1,2096,0,1.334128," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^15,x, algorithm=""giac"")","-\frac{{\left(4004 \, B b^{10} x^{11} e^{11} + 11011 \, B b^{10} d x^{10} e^{10} + 22022 \, B b^{10} d^{2} x^{9} e^{9} + 33033 \, B b^{10} d^{3} x^{8} e^{8} + 37752 \, B b^{10} d^{4} x^{7} e^{7} + 33033 \, B b^{10} d^{5} x^{6} e^{6} + 22022 \, B b^{10} d^{6} x^{5} e^{5} + 11011 \, B b^{10} d^{7} x^{4} e^{4} + 4004 \, B b^{10} d^{8} x^{3} e^{3} + 1001 \, B b^{10} d^{9} x^{2} e^{2} + 154 \, B b^{10} d^{10} x e + 11 \, B b^{10} d^{11} + 30030 \, B a b^{9} x^{10} e^{11} + 3003 \, A b^{10} x^{10} e^{11} + 60060 \, B a b^{9} d x^{9} e^{10} + 6006 \, A b^{10} d x^{9} e^{10} + 90090 \, B a b^{9} d^{2} x^{8} e^{9} + 9009 \, A b^{10} d^{2} x^{8} e^{9} + 102960 \, B a b^{9} d^{3} x^{7} e^{8} + 10296 \, A b^{10} d^{3} x^{7} e^{8} + 90090 \, B a b^{9} d^{4} x^{6} e^{7} + 9009 \, A b^{10} d^{4} x^{6} e^{7} + 60060 \, B a b^{9} d^{5} x^{5} e^{6} + 6006 \, A b^{10} d^{5} x^{5} e^{6} + 30030 \, B a b^{9} d^{6} x^{4} e^{5} + 3003 \, A b^{10} d^{6} x^{4} e^{5} + 10920 \, B a b^{9} d^{7} x^{3} e^{4} + 1092 \, A b^{10} d^{7} x^{3} e^{4} + 2730 \, B a b^{9} d^{8} x^{2} e^{3} + 273 \, A b^{10} d^{8} x^{2} e^{3} + 420 \, B a b^{9} d^{9} x e^{2} + 42 \, A b^{10} d^{9} x e^{2} + 30 \, B a b^{9} d^{10} e + 3 \, A b^{10} d^{10} e + 108108 \, B a^{2} b^{8} x^{9} e^{11} + 24024 \, A a b^{9} x^{9} e^{11} + 162162 \, B a^{2} b^{8} d x^{8} e^{10} + 36036 \, A a b^{9} d x^{8} e^{10} + 185328 \, B a^{2} b^{8} d^{2} x^{7} e^{9} + 41184 \, A a b^{9} d^{2} x^{7} e^{9} + 162162 \, B a^{2} b^{8} d^{3} x^{6} e^{8} + 36036 \, A a b^{9} d^{3} x^{6} e^{8} + 108108 \, B a^{2} b^{8} d^{4} x^{5} e^{7} + 24024 \, A a b^{9} d^{4} x^{5} e^{7} + 54054 \, B a^{2} b^{8} d^{5} x^{4} e^{6} + 12012 \, A a b^{9} d^{5} x^{4} e^{6} + 19656 \, B a^{2} b^{8} d^{6} x^{3} e^{5} + 4368 \, A a b^{9} d^{6} x^{3} e^{5} + 4914 \, B a^{2} b^{8} d^{7} x^{2} e^{4} + 1092 \, A a b^{9} d^{7} x^{2} e^{4} + 756 \, B a^{2} b^{8} d^{8} x e^{3} + 168 \, A a b^{9} d^{8} x e^{3} + 54 \, B a^{2} b^{8} d^{9} e^{2} + 12 \, A a b^{9} d^{9} e^{2} + 240240 \, B a^{3} b^{7} x^{8} e^{11} + 90090 \, A a^{2} b^{8} x^{8} e^{11} + 274560 \, B a^{3} b^{7} d x^{7} e^{10} + 102960 \, A a^{2} b^{8} d x^{7} e^{10} + 240240 \, B a^{3} b^{7} d^{2} x^{6} e^{9} + 90090 \, A a^{2} b^{8} d^{2} x^{6} e^{9} + 160160 \, B a^{3} b^{7} d^{3} x^{5} e^{8} + 60060 \, A a^{2} b^{8} d^{3} x^{5} e^{8} + 80080 \, B a^{3} b^{7} d^{4} x^{4} e^{7} + 30030 \, A a^{2} b^{8} d^{4} x^{4} e^{7} + 29120 \, B a^{3} b^{7} d^{5} x^{3} e^{6} + 10920 \, A a^{2} b^{8} d^{5} x^{3} e^{6} + 7280 \, B a^{3} b^{7} d^{6} x^{2} e^{5} + 2730 \, A a^{2} b^{8} d^{6} x^{2} e^{5} + 1120 \, B a^{3} b^{7} d^{7} x e^{4} + 420 \, A a^{2} b^{8} d^{7} x e^{4} + 80 \, B a^{3} b^{7} d^{8} e^{3} + 30 \, A a^{2} b^{8} d^{8} e^{3} + 360360 \, B a^{4} b^{6} x^{7} e^{11} + 205920 \, A a^{3} b^{7} x^{7} e^{11} + 315315 \, B a^{4} b^{6} d x^{6} e^{10} + 180180 \, A a^{3} b^{7} d x^{6} e^{10} + 210210 \, B a^{4} b^{6} d^{2} x^{5} e^{9} + 120120 \, A a^{3} b^{7} d^{2} x^{5} e^{9} + 105105 \, B a^{4} b^{6} d^{3} x^{4} e^{8} + 60060 \, A a^{3} b^{7} d^{3} x^{4} e^{8} + 38220 \, B a^{4} b^{6} d^{4} x^{3} e^{7} + 21840 \, A a^{3} b^{7} d^{4} x^{3} e^{7} + 9555 \, B a^{4} b^{6} d^{5} x^{2} e^{6} + 5460 \, A a^{3} b^{7} d^{5} x^{2} e^{6} + 1470 \, B a^{4} b^{6} d^{6} x e^{5} + 840 \, A a^{3} b^{7} d^{6} x e^{5} + 105 \, B a^{4} b^{6} d^{7} e^{4} + 60 \, A a^{3} b^{7} d^{7} e^{4} + 378378 \, B a^{5} b^{5} x^{6} e^{11} + 315315 \, A a^{4} b^{6} x^{6} e^{11} + 252252 \, B a^{5} b^{5} d x^{5} e^{10} + 210210 \, A a^{4} b^{6} d x^{5} e^{10} + 126126 \, B a^{5} b^{5} d^{2} x^{4} e^{9} + 105105 \, A a^{4} b^{6} d^{2} x^{4} e^{9} + 45864 \, B a^{5} b^{5} d^{3} x^{3} e^{8} + 38220 \, A a^{4} b^{6} d^{3} x^{3} e^{8} + 11466 \, B a^{5} b^{5} d^{4} x^{2} e^{7} + 9555 \, A a^{4} b^{6} d^{4} x^{2} e^{7} + 1764 \, B a^{5} b^{5} d^{5} x e^{6} + 1470 \, A a^{4} b^{6} d^{5} x e^{6} + 126 \, B a^{5} b^{5} d^{6} e^{5} + 105 \, A a^{4} b^{6} d^{6} e^{5} + 280280 \, B a^{6} b^{4} x^{5} e^{11} + 336336 \, A a^{5} b^{5} x^{5} e^{11} + 140140 \, B a^{6} b^{4} d x^{4} e^{10} + 168168 \, A a^{5} b^{5} d x^{4} e^{10} + 50960 \, B a^{6} b^{4} d^{2} x^{3} e^{9} + 61152 \, A a^{5} b^{5} d^{2} x^{3} e^{9} + 12740 \, B a^{6} b^{4} d^{3} x^{2} e^{8} + 15288 \, A a^{5} b^{5} d^{3} x^{2} e^{8} + 1960 \, B a^{6} b^{4} d^{4} x e^{7} + 2352 \, A a^{5} b^{5} d^{4} x e^{7} + 140 \, B a^{6} b^{4} d^{5} e^{6} + 168 \, A a^{5} b^{5} d^{5} e^{6} + 144144 \, B a^{7} b^{3} x^{4} e^{11} + 252252 \, A a^{6} b^{4} x^{4} e^{11} + 52416 \, B a^{7} b^{3} d x^{3} e^{10} + 91728 \, A a^{6} b^{4} d x^{3} e^{10} + 13104 \, B a^{7} b^{3} d^{2} x^{2} e^{9} + 22932 \, A a^{6} b^{4} d^{2} x^{2} e^{9} + 2016 \, B a^{7} b^{3} d^{3} x e^{8} + 3528 \, A a^{6} b^{4} d^{3} x e^{8} + 144 \, B a^{7} b^{3} d^{4} e^{7} + 252 \, A a^{6} b^{4} d^{4} e^{7} + 49140 \, B a^{8} b^{2} x^{3} e^{11} + 131040 \, A a^{7} b^{3} x^{3} e^{11} + 12285 \, B a^{8} b^{2} d x^{2} e^{10} + 32760 \, A a^{7} b^{3} d x^{2} e^{10} + 1890 \, B a^{8} b^{2} d^{2} x e^{9} + 5040 \, A a^{7} b^{3} d^{2} x e^{9} + 135 \, B a^{8} b^{2} d^{3} e^{8} + 360 \, A a^{7} b^{3} d^{3} e^{8} + 10010 \, B a^{9} b x^{2} e^{11} + 45045 \, A a^{8} b^{2} x^{2} e^{11} + 1540 \, B a^{9} b d x e^{10} + 6930 \, A a^{8} b^{2} d x e^{10} + 110 \, B a^{9} b d^{2} e^{9} + 495 \, A a^{8} b^{2} d^{2} e^{9} + 924 \, B a^{10} x e^{11} + 9240 \, A a^{9} b x e^{11} + 66 \, B a^{10} d e^{10} + 660 \, A a^{9} b d e^{10} + 858 \, A a^{10} e^{11}\right)} e^{\left(-12\right)}}{12012 \, {\left(x e + d\right)}^{14}}"," ",0,"-1/12012*(4004*B*b^10*x^11*e^11 + 11011*B*b^10*d*x^10*e^10 + 22022*B*b^10*d^2*x^9*e^9 + 33033*B*b^10*d^3*x^8*e^8 + 37752*B*b^10*d^4*x^7*e^7 + 33033*B*b^10*d^5*x^6*e^6 + 22022*B*b^10*d^6*x^5*e^5 + 11011*B*b^10*d^7*x^4*e^4 + 4004*B*b^10*d^8*x^3*e^3 + 1001*B*b^10*d^9*x^2*e^2 + 154*B*b^10*d^10*x*e + 11*B*b^10*d^11 + 30030*B*a*b^9*x^10*e^11 + 3003*A*b^10*x^10*e^11 + 60060*B*a*b^9*d*x^9*e^10 + 6006*A*b^10*d*x^9*e^10 + 90090*B*a*b^9*d^2*x^8*e^9 + 9009*A*b^10*d^2*x^8*e^9 + 102960*B*a*b^9*d^3*x^7*e^8 + 10296*A*b^10*d^3*x^7*e^8 + 90090*B*a*b^9*d^4*x^6*e^7 + 9009*A*b^10*d^4*x^6*e^7 + 60060*B*a*b^9*d^5*x^5*e^6 + 6006*A*b^10*d^5*x^5*e^6 + 30030*B*a*b^9*d^6*x^4*e^5 + 3003*A*b^10*d^6*x^4*e^5 + 10920*B*a*b^9*d^7*x^3*e^4 + 1092*A*b^10*d^7*x^3*e^4 + 2730*B*a*b^9*d^8*x^2*e^3 + 273*A*b^10*d^8*x^2*e^3 + 420*B*a*b^9*d^9*x*e^2 + 42*A*b^10*d^9*x*e^2 + 30*B*a*b^9*d^10*e + 3*A*b^10*d^10*e + 108108*B*a^2*b^8*x^9*e^11 + 24024*A*a*b^9*x^9*e^11 + 162162*B*a^2*b^8*d*x^8*e^10 + 36036*A*a*b^9*d*x^8*e^10 + 185328*B*a^2*b^8*d^2*x^7*e^9 + 41184*A*a*b^9*d^2*x^7*e^9 + 162162*B*a^2*b^8*d^3*x^6*e^8 + 36036*A*a*b^9*d^3*x^6*e^8 + 108108*B*a^2*b^8*d^4*x^5*e^7 + 24024*A*a*b^9*d^4*x^5*e^7 + 54054*B*a^2*b^8*d^5*x^4*e^6 + 12012*A*a*b^9*d^5*x^4*e^6 + 19656*B*a^2*b^8*d^6*x^3*e^5 + 4368*A*a*b^9*d^6*x^3*e^5 + 4914*B*a^2*b^8*d^7*x^2*e^4 + 1092*A*a*b^9*d^7*x^2*e^4 + 756*B*a^2*b^8*d^8*x*e^3 + 168*A*a*b^9*d^8*x*e^3 + 54*B*a^2*b^8*d^9*e^2 + 12*A*a*b^9*d^9*e^2 + 240240*B*a^3*b^7*x^8*e^11 + 90090*A*a^2*b^8*x^8*e^11 + 274560*B*a^3*b^7*d*x^7*e^10 + 102960*A*a^2*b^8*d*x^7*e^10 + 240240*B*a^3*b^7*d^2*x^6*e^9 + 90090*A*a^2*b^8*d^2*x^6*e^9 + 160160*B*a^3*b^7*d^3*x^5*e^8 + 60060*A*a^2*b^8*d^3*x^5*e^8 + 80080*B*a^3*b^7*d^4*x^4*e^7 + 30030*A*a^2*b^8*d^4*x^4*e^7 + 29120*B*a^3*b^7*d^5*x^3*e^6 + 10920*A*a^2*b^8*d^5*x^3*e^6 + 7280*B*a^3*b^7*d^6*x^2*e^5 + 2730*A*a^2*b^8*d^6*x^2*e^5 + 1120*B*a^3*b^7*d^7*x*e^4 + 420*A*a^2*b^8*d^7*x*e^4 + 80*B*a^3*b^7*d^8*e^3 + 30*A*a^2*b^8*d^8*e^3 + 360360*B*a^4*b^6*x^7*e^11 + 205920*A*a^3*b^7*x^7*e^11 + 315315*B*a^4*b^6*d*x^6*e^10 + 180180*A*a^3*b^7*d*x^6*e^10 + 210210*B*a^4*b^6*d^2*x^5*e^9 + 120120*A*a^3*b^7*d^2*x^5*e^9 + 105105*B*a^4*b^6*d^3*x^4*e^8 + 60060*A*a^3*b^7*d^3*x^4*e^8 + 38220*B*a^4*b^6*d^4*x^3*e^7 + 21840*A*a^3*b^7*d^4*x^3*e^7 + 9555*B*a^4*b^6*d^5*x^2*e^6 + 5460*A*a^3*b^7*d^5*x^2*e^6 + 1470*B*a^4*b^6*d^6*x*e^5 + 840*A*a^3*b^7*d^6*x*e^5 + 105*B*a^4*b^6*d^7*e^4 + 60*A*a^3*b^7*d^7*e^4 + 378378*B*a^5*b^5*x^6*e^11 + 315315*A*a^4*b^6*x^6*e^11 + 252252*B*a^5*b^5*d*x^5*e^10 + 210210*A*a^4*b^6*d*x^5*e^10 + 126126*B*a^5*b^5*d^2*x^4*e^9 + 105105*A*a^4*b^6*d^2*x^4*e^9 + 45864*B*a^5*b^5*d^3*x^3*e^8 + 38220*A*a^4*b^6*d^3*x^3*e^8 + 11466*B*a^5*b^5*d^4*x^2*e^7 + 9555*A*a^4*b^6*d^4*x^2*e^7 + 1764*B*a^5*b^5*d^5*x*e^6 + 1470*A*a^4*b^6*d^5*x*e^6 + 126*B*a^5*b^5*d^6*e^5 + 105*A*a^4*b^6*d^6*e^5 + 280280*B*a^6*b^4*x^5*e^11 + 336336*A*a^5*b^5*x^5*e^11 + 140140*B*a^6*b^4*d*x^4*e^10 + 168168*A*a^5*b^5*d*x^4*e^10 + 50960*B*a^6*b^4*d^2*x^3*e^9 + 61152*A*a^5*b^5*d^2*x^3*e^9 + 12740*B*a^6*b^4*d^3*x^2*e^8 + 15288*A*a^5*b^5*d^3*x^2*e^8 + 1960*B*a^6*b^4*d^4*x*e^7 + 2352*A*a^5*b^5*d^4*x*e^7 + 140*B*a^6*b^4*d^5*e^6 + 168*A*a^5*b^5*d^5*e^6 + 144144*B*a^7*b^3*x^4*e^11 + 252252*A*a^6*b^4*x^4*e^11 + 52416*B*a^7*b^3*d*x^3*e^10 + 91728*A*a^6*b^4*d*x^3*e^10 + 13104*B*a^7*b^3*d^2*x^2*e^9 + 22932*A*a^6*b^4*d^2*x^2*e^9 + 2016*B*a^7*b^3*d^3*x*e^8 + 3528*A*a^6*b^4*d^3*x*e^8 + 144*B*a^7*b^3*d^4*e^7 + 252*A*a^6*b^4*d^4*e^7 + 49140*B*a^8*b^2*x^3*e^11 + 131040*A*a^7*b^3*x^3*e^11 + 12285*B*a^8*b^2*d*x^2*e^10 + 32760*A*a^7*b^3*d*x^2*e^10 + 1890*B*a^8*b^2*d^2*x*e^9 + 5040*A*a^7*b^3*d^2*x*e^9 + 135*B*a^8*b^2*d^3*e^8 + 360*A*a^7*b^3*d^3*e^8 + 10010*B*a^9*b*x^2*e^11 + 45045*A*a^8*b^2*x^2*e^11 + 1540*B*a^9*b*d*x*e^10 + 6930*A*a^8*b^2*d*x*e^10 + 110*B*a^9*b*d^2*e^9 + 495*A*a^8*b^2*d^2*e^9 + 924*B*a^10*x*e^11 + 9240*A*a^9*b*x*e^11 + 66*B*a^10*d*e^10 + 660*A*a^9*b*d*e^10 + 858*A*a^10*e^11)*e^(-12)/(x*e + d)^14","B",0
1104,1,2096,0,1.247376," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^16,x, algorithm=""giac"")","-\frac{{\left(15015 \, B b^{10} x^{11} e^{11} + 33033 \, B b^{10} d x^{10} e^{10} + 55055 \, B b^{10} d^{2} x^{9} e^{9} + 70785 \, B b^{10} d^{3} x^{8} e^{8} + 70785 \, B b^{10} d^{4} x^{7} e^{7} + 55055 \, B b^{10} d^{5} x^{6} e^{6} + 33033 \, B b^{10} d^{6} x^{5} e^{5} + 15015 \, B b^{10} d^{7} x^{4} e^{4} + 5005 \, B b^{10} d^{8} x^{3} e^{3} + 1155 \, B b^{10} d^{9} x^{2} e^{2} + 165 \, B b^{10} d^{10} x e + 11 \, B b^{10} d^{11} + 120120 \, B a b^{9} x^{10} e^{11} + 12012 \, A b^{10} x^{10} e^{11} + 200200 \, B a b^{9} d x^{9} e^{10} + 20020 \, A b^{10} d x^{9} e^{10} + 257400 \, B a b^{9} d^{2} x^{8} e^{9} + 25740 \, A b^{10} d^{2} x^{8} e^{9} + 257400 \, B a b^{9} d^{3} x^{7} e^{8} + 25740 \, A b^{10} d^{3} x^{7} e^{8} + 200200 \, B a b^{9} d^{4} x^{6} e^{7} + 20020 \, A b^{10} d^{4} x^{6} e^{7} + 120120 \, B a b^{9} d^{5} x^{5} e^{6} + 12012 \, A b^{10} d^{5} x^{5} e^{6} + 54600 \, B a b^{9} d^{6} x^{4} e^{5} + 5460 \, A b^{10} d^{6} x^{4} e^{5} + 18200 \, B a b^{9} d^{7} x^{3} e^{4} + 1820 \, A b^{10} d^{7} x^{3} e^{4} + 4200 \, B a b^{9} d^{8} x^{2} e^{3} + 420 \, A b^{10} d^{8} x^{2} e^{3} + 600 \, B a b^{9} d^{9} x e^{2} + 60 \, A b^{10} d^{9} x e^{2} + 40 \, B a b^{9} d^{10} e + 4 \, A b^{10} d^{10} e + 450450 \, B a^{2} b^{8} x^{9} e^{11} + 100100 \, A a b^{9} x^{9} e^{11} + 579150 \, B a^{2} b^{8} d x^{8} e^{10} + 128700 \, A a b^{9} d x^{8} e^{10} + 579150 \, B a^{2} b^{8} d^{2} x^{7} e^{9} + 128700 \, A a b^{9} d^{2} x^{7} e^{9} + 450450 \, B a^{2} b^{8} d^{3} x^{6} e^{8} + 100100 \, A a b^{9} d^{3} x^{6} e^{8} + 270270 \, B a^{2} b^{8} d^{4} x^{5} e^{7} + 60060 \, A a b^{9} d^{4} x^{5} e^{7} + 122850 \, B a^{2} b^{8} d^{5} x^{4} e^{6} + 27300 \, A a b^{9} d^{5} x^{4} e^{6} + 40950 \, B a^{2} b^{8} d^{6} x^{3} e^{5} + 9100 \, A a b^{9} d^{6} x^{3} e^{5} + 9450 \, B a^{2} b^{8} d^{7} x^{2} e^{4} + 2100 \, A a b^{9} d^{7} x^{2} e^{4} + 1350 \, B a^{2} b^{8} d^{8} x e^{3} + 300 \, A a b^{9} d^{8} x e^{3} + 90 \, B a^{2} b^{8} d^{9} e^{2} + 20 \, A a b^{9} d^{9} e^{2} + 1029600 \, B a^{3} b^{7} x^{8} e^{11} + 386100 \, A a^{2} b^{8} x^{8} e^{11} + 1029600 \, B a^{3} b^{7} d x^{7} e^{10} + 386100 \, A a^{2} b^{8} d x^{7} e^{10} + 800800 \, B a^{3} b^{7} d^{2} x^{6} e^{9} + 300300 \, A a^{2} b^{8} d^{2} x^{6} e^{9} + 480480 \, B a^{3} b^{7} d^{3} x^{5} e^{8} + 180180 \, A a^{2} b^{8} d^{3} x^{5} e^{8} + 218400 \, B a^{3} b^{7} d^{4} x^{4} e^{7} + 81900 \, A a^{2} b^{8} d^{4} x^{4} e^{7} + 72800 \, B a^{3} b^{7} d^{5} x^{3} e^{6} + 27300 \, A a^{2} b^{8} d^{5} x^{3} e^{6} + 16800 \, B a^{3} b^{7} d^{6} x^{2} e^{5} + 6300 \, A a^{2} b^{8} d^{6} x^{2} e^{5} + 2400 \, B a^{3} b^{7} d^{7} x e^{4} + 900 \, A a^{2} b^{8} d^{7} x e^{4} + 160 \, B a^{3} b^{7} d^{8} e^{3} + 60 \, A a^{2} b^{8} d^{8} e^{3} + 1576575 \, B a^{4} b^{6} x^{7} e^{11} + 900900 \, A a^{3} b^{7} x^{7} e^{11} + 1226225 \, B a^{4} b^{6} d x^{6} e^{10} + 700700 \, A a^{3} b^{7} d x^{6} e^{10} + 735735 \, B a^{4} b^{6} d^{2} x^{5} e^{9} + 420420 \, A a^{3} b^{7} d^{2} x^{5} e^{9} + 334425 \, B a^{4} b^{6} d^{3} x^{4} e^{8} + 191100 \, A a^{3} b^{7} d^{3} x^{4} e^{8} + 111475 \, B a^{4} b^{6} d^{4} x^{3} e^{7} + 63700 \, A a^{3} b^{7} d^{4} x^{3} e^{7} + 25725 \, B a^{4} b^{6} d^{5} x^{2} e^{6} + 14700 \, A a^{3} b^{7} d^{5} x^{2} e^{6} + 3675 \, B a^{4} b^{6} d^{6} x e^{5} + 2100 \, A a^{3} b^{7} d^{6} x e^{5} + 245 \, B a^{4} b^{6} d^{7} e^{4} + 140 \, A a^{3} b^{7} d^{7} e^{4} + 1681680 \, B a^{5} b^{5} x^{6} e^{11} + 1401400 \, A a^{4} b^{6} x^{6} e^{11} + 1009008 \, B a^{5} b^{5} d x^{5} e^{10} + 840840 \, A a^{4} b^{6} d x^{5} e^{10} + 458640 \, B a^{5} b^{5} d^{2} x^{4} e^{9} + 382200 \, A a^{4} b^{6} d^{2} x^{4} e^{9} + 152880 \, B a^{5} b^{5} d^{3} x^{3} e^{8} + 127400 \, A a^{4} b^{6} d^{3} x^{3} e^{8} + 35280 \, B a^{5} b^{5} d^{4} x^{2} e^{7} + 29400 \, A a^{4} b^{6} d^{4} x^{2} e^{7} + 5040 \, B a^{5} b^{5} d^{5} x e^{6} + 4200 \, A a^{4} b^{6} d^{5} x e^{6} + 336 \, B a^{5} b^{5} d^{6} e^{5} + 280 \, A a^{4} b^{6} d^{6} e^{5} + 1261260 \, B a^{6} b^{4} x^{5} e^{11} + 1513512 \, A a^{5} b^{5} x^{5} e^{11} + 573300 \, B a^{6} b^{4} d x^{4} e^{10} + 687960 \, A a^{5} b^{5} d x^{4} e^{10} + 191100 \, B a^{6} b^{4} d^{2} x^{3} e^{9} + 229320 \, A a^{5} b^{5} d^{2} x^{3} e^{9} + 44100 \, B a^{6} b^{4} d^{3} x^{2} e^{8} + 52920 \, A a^{5} b^{5} d^{3} x^{2} e^{8} + 6300 \, B a^{6} b^{4} d^{4} x e^{7} + 7560 \, A a^{5} b^{5} d^{4} x e^{7} + 420 \, B a^{6} b^{4} d^{5} e^{6} + 504 \, A a^{5} b^{5} d^{5} e^{6} + 655200 \, B a^{7} b^{3} x^{4} e^{11} + 1146600 \, A a^{6} b^{4} x^{4} e^{11} + 218400 \, B a^{7} b^{3} d x^{3} e^{10} + 382200 \, A a^{6} b^{4} d x^{3} e^{10} + 50400 \, B a^{7} b^{3} d^{2} x^{2} e^{9} + 88200 \, A a^{6} b^{4} d^{2} x^{2} e^{9} + 7200 \, B a^{7} b^{3} d^{3} x e^{8} + 12600 \, A a^{6} b^{4} d^{3} x e^{8} + 480 \, B a^{7} b^{3} d^{4} e^{7} + 840 \, A a^{6} b^{4} d^{4} e^{7} + 225225 \, B a^{8} b^{2} x^{3} e^{11} + 600600 \, A a^{7} b^{3} x^{3} e^{11} + 51975 \, B a^{8} b^{2} d x^{2} e^{10} + 138600 \, A a^{7} b^{3} d x^{2} e^{10} + 7425 \, B a^{8} b^{2} d^{2} x e^{9} + 19800 \, A a^{7} b^{3} d^{2} x e^{9} + 495 \, B a^{8} b^{2} d^{3} e^{8} + 1320 \, A a^{7} b^{3} d^{3} e^{8} + 46200 \, B a^{9} b x^{2} e^{11} + 207900 \, A a^{8} b^{2} x^{2} e^{11} + 6600 \, B a^{9} b d x e^{10} + 29700 \, A a^{8} b^{2} d x e^{10} + 440 \, B a^{9} b d^{2} e^{9} + 1980 \, A a^{8} b^{2} d^{2} e^{9} + 4290 \, B a^{10} x e^{11} + 42900 \, A a^{9} b x e^{11} + 286 \, B a^{10} d e^{10} + 2860 \, A a^{9} b d e^{10} + 4004 \, A a^{10} e^{11}\right)} e^{\left(-12\right)}}{60060 \, {\left(x e + d\right)}^{15}}"," ",0,"-1/60060*(15015*B*b^10*x^11*e^11 + 33033*B*b^10*d*x^10*e^10 + 55055*B*b^10*d^2*x^9*e^9 + 70785*B*b^10*d^3*x^8*e^8 + 70785*B*b^10*d^4*x^7*e^7 + 55055*B*b^10*d^5*x^6*e^6 + 33033*B*b^10*d^6*x^5*e^5 + 15015*B*b^10*d^7*x^4*e^4 + 5005*B*b^10*d^8*x^3*e^3 + 1155*B*b^10*d^9*x^2*e^2 + 165*B*b^10*d^10*x*e + 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9450*B*a^2*b^8*d^7*x^2*e^4 + 2100*A*a*b^9*d^7*x^2*e^4 + 1350*B*a^2*b^8*d^8*x*e^3 + 300*A*a*b^9*d^8*x*e^3 + 90*B*a^2*b^8*d^9*e^2 + 20*A*a*b^9*d^9*e^2 + 1029600*B*a^3*b^7*x^8*e^11 + 386100*A*a^2*b^8*x^8*e^11 + 1029600*B*a^3*b^7*d*x^7*e^10 + 386100*A*a^2*b^8*d*x^7*e^10 + 800800*B*a^3*b^7*d^2*x^6*e^9 + 300300*A*a^2*b^8*d^2*x^6*e^9 + 480480*B*a^3*b^7*d^3*x^5*e^8 + 180180*A*a^2*b^8*d^3*x^5*e^8 + 218400*B*a^3*b^7*d^4*x^4*e^7 + 81900*A*a^2*b^8*d^4*x^4*e^7 + 72800*B*a^3*b^7*d^5*x^3*e^6 + 27300*A*a^2*b^8*d^5*x^3*e^6 + 16800*B*a^3*b^7*d^6*x^2*e^5 + 6300*A*a^2*b^8*d^6*x^2*e^5 + 2400*B*a^3*b^7*d^7*x*e^4 + 900*A*a^2*b^8*d^7*x*e^4 + 160*B*a^3*b^7*d^8*e^3 + 60*A*a^2*b^8*d^8*e^3 + 1576575*B*a^4*b^6*x^7*e^11 + 900900*A*a^3*b^7*x^7*e^11 + 1226225*B*a^4*b^6*d*x^6*e^10 + 700700*A*a^3*b^7*d*x^6*e^10 + 735735*B*a^4*b^6*d^2*x^5*e^9 + 420420*A*a^3*b^7*d^2*x^5*e^9 + 334425*B*a^4*b^6*d^3*x^4*e^8 + 191100*A*a^3*b^7*d^3*x^4*e^8 + 111475*B*a^4*b^6*d^4*x^3*e^7 + 63700*A*a^3*b^7*d^4*x^3*e^7 + 25725*B*a^4*b^6*d^5*x^2*e^6 + 14700*A*a^3*b^7*d^5*x^2*e^6 + 3675*B*a^4*b^6*d^6*x*e^5 + 2100*A*a^3*b^7*d^6*x*e^5 + 245*B*a^4*b^6*d^7*e^4 + 140*A*a^3*b^7*d^7*e^4 + 1681680*B*a^5*b^5*x^6*e^11 + 1401400*A*a^4*b^6*x^6*e^11 + 1009008*B*a^5*b^5*d*x^5*e^10 + 840840*A*a^4*b^6*d*x^5*e^10 + 458640*B*a^5*b^5*d^2*x^4*e^9 + 382200*A*a^4*b^6*d^2*x^4*e^9 + 152880*B*a^5*b^5*d^3*x^3*e^8 + 127400*A*a^4*b^6*d^3*x^3*e^8 + 35280*B*a^5*b^5*d^4*x^2*e^7 + 29400*A*a^4*b^6*d^4*x^2*e^7 + 5040*B*a^5*b^5*d^5*x*e^6 + 4200*A*a^4*b^6*d^5*x*e^6 + 336*B*a^5*b^5*d^6*e^5 + 280*A*a^4*b^6*d^6*e^5 + 1261260*B*a^6*b^4*x^5*e^11 + 1513512*A*a^5*b^5*x^5*e^11 + 573300*B*a^6*b^4*d*x^4*e^10 + 687960*A*a^5*b^5*d*x^4*e^10 + 191100*B*a^6*b^4*d^2*x^3*e^9 + 229320*A*a^5*b^5*d^2*x^3*e^9 + 44100*B*a^6*b^4*d^3*x^2*e^8 + 52920*A*a^5*b^5*d^3*x^2*e^8 + 6300*B*a^6*b^4*d^4*x*e^7 + 7560*A*a^5*b^5*d^4*x*e^7 + 420*B*a^6*b^4*d^5*e^6 + 504*A*a^5*b^5*d^5*e^6 + 655200*B*a^7*b^3*x^4*e^11 + 1146600*A*a^6*b^4*x^4*e^11 + 218400*B*a^7*b^3*d*x^3*e^10 + 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1105,1,2096,0,1.313549," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^17,x, algorithm=""giac"")","-\frac{{\left(48048 \, B b^{10} x^{11} e^{11} + 88088 \, B b^{10} d x^{10} e^{10} + 125840 \, B b^{10} d^{2} x^{9} e^{9} + 141570 \, B b^{10} d^{3} x^{8} e^{8} + 125840 \, B b^{10} d^{4} x^{7} e^{7} + 88088 \, B b^{10} d^{5} x^{6} e^{6} + 48048 \, B b^{10} d^{6} x^{5} e^{5} + 20020 \, B b^{10} d^{7} x^{4} e^{4} + 6160 \, B b^{10} d^{8} x^{3} e^{3} + 1320 \, B b^{10} d^{9} x^{2} e^{2} + 176 \, B b^{10} d^{10} x e + 11 \, B b^{10} d^{11} + 400400 \, B a b^{9} x^{10} e^{11} + 40040 \, A b^{10} x^{10} e^{11} + 572000 \, B a b^{9} d x^{9} e^{10} + 57200 \, A b^{10} d x^{9} e^{10} + 643500 \, B a b^{9} d^{2} x^{8} e^{9} + 64350 \, A b^{10} d^{2} x^{8} e^{9} + 572000 \, B a b^{9} d^{3} x^{7} e^{8} + 57200 \, A b^{10} d^{3} x^{7} e^{8} + 400400 \, B a b^{9} d^{4} x^{6} e^{7} + 40040 \, A b^{10} d^{4} x^{6} e^{7} + 218400 \, B a b^{9} d^{5} x^{5} e^{6} + 21840 \, A b^{10} d^{5} x^{5} e^{6} + 91000 \, B a b^{9} d^{6} x^{4} e^{5} + 9100 \, A b^{10} d^{6} x^{4} e^{5} + 28000 \, B a b^{9} d^{7} x^{3} e^{4} + 2800 \, A b^{10} d^{7} x^{3} e^{4} + 6000 \, B a b^{9} d^{8} x^{2} e^{3} + 600 \, A b^{10} d^{8} x^{2} e^{3} + 800 \, B a b^{9} d^{9} x e^{2} + 80 \, A b^{10} d^{9} x e^{2} + 50 \, B a b^{9} d^{10} e + 5 \, A b^{10} d^{10} e + 1544400 \, B a^{2} b^{8} x^{9} e^{11} + 343200 \, A a b^{9} x^{9} e^{11} + 1737450 \, B a^{2} b^{8} d x^{8} e^{10} + 386100 \, A a b^{9} d x^{8} e^{10} + 1544400 \, B a^{2} b^{8} d^{2} x^{7} e^{9} + 343200 \, A a b^{9} d^{2} x^{7} e^{9} + 1081080 \, B a^{2} b^{8} d^{3} x^{6} e^{8} + 240240 \, A a b^{9} d^{3} x^{6} e^{8} + 589680 \, B a^{2} b^{8} d^{4} x^{5} e^{7} + 131040 \, A a b^{9} d^{4} x^{5} e^{7} + 245700 \, B a^{2} b^{8} d^{5} x^{4} e^{6} + 54600 \, A a b^{9} d^{5} x^{4} e^{6} + 75600 \, B a^{2} b^{8} d^{6} x^{3} e^{5} + 16800 \, A a b^{9} d^{6} x^{3} e^{5} + 16200 \, B a^{2} b^{8} d^{7} x^{2} e^{4} + 3600 \, A a b^{9} d^{7} x^{2} e^{4} + 2160 \, B a^{2} b^{8} d^{8} x e^{3} + 480 \, A a b^{9} d^{8} x e^{3} + 135 \, B a^{2} b^{8} d^{9} e^{2} + 30 \, A a b^{9} d^{9} e^{2} + 3603600 \, B a^{3} b^{7} x^{8} e^{11} + 1351350 \, A a^{2} b^{8} x^{8} e^{11} + 3203200 \, B a^{3} b^{7} d x^{7} e^{10} + 1201200 \, A a^{2} b^{8} d x^{7} e^{10} + 2242240 \, B a^{3} b^{7} d^{2} x^{6} e^{9} + 840840 \, A a^{2} b^{8} d^{2} x^{6} e^{9} + 1223040 \, B a^{3} b^{7} d^{3} x^{5} e^{8} + 458640 \, A a^{2} b^{8} d^{3} x^{5} e^{8} + 509600 \, B a^{3} b^{7} d^{4} x^{4} e^{7} + 191100 \, A a^{2} b^{8} d^{4} x^{4} e^{7} + 156800 \, B a^{3} b^{7} d^{5} x^{3} e^{6} + 58800 \, A a^{2} b^{8} d^{5} x^{3} e^{6} + 33600 \, B a^{3} b^{7} d^{6} x^{2} e^{5} + 12600 \, A a^{2} b^{8} d^{6} x^{2} e^{5} + 4480 \, B a^{3} b^{7} d^{7} x e^{4} + 1680 \, A a^{2} b^{8} d^{7} x e^{4} + 280 \, B a^{3} b^{7} d^{8} e^{3} + 105 \, A a^{2} b^{8} d^{8} e^{3} + 5605600 \, B a^{4} b^{6} x^{7} e^{11} + 3203200 \, A a^{3} b^{7} x^{7} e^{11} + 3923920 \, B a^{4} b^{6} d x^{6} e^{10} + 2242240 \, A a^{3} b^{7} d x^{6} e^{10} + 2140320 \, B a^{4} b^{6} d^{2} x^{5} e^{9} + 1223040 \, A a^{3} b^{7} d^{2} x^{5} e^{9} + 891800 \, B a^{4} b^{6} d^{3} x^{4} e^{8} + 509600 \, A a^{3} b^{7} d^{3} x^{4} e^{8} + 274400 \, B a^{4} b^{6} d^{4} x^{3} e^{7} + 156800 \, A a^{3} b^{7} d^{4} x^{3} e^{7} + 58800 \, B a^{4} b^{6} d^{5} x^{2} e^{6} + 33600 \, A a^{3} b^{7} d^{5} x^{2} e^{6} + 7840 \, B a^{4} b^{6} d^{6} x e^{5} + 4480 \, A a^{3} b^{7} d^{6} x e^{5} + 490 \, B a^{4} b^{6} d^{7} e^{4} + 280 \, A a^{3} b^{7} d^{7} e^{4} + 6054048 \, B a^{5} b^{5} x^{6} e^{11} + 5045040 \, A a^{4} b^{6} x^{6} e^{11} + 3302208 \, B a^{5} b^{5} d x^{5} e^{10} + 2751840 \, A a^{4} b^{6} d x^{5} e^{10} + 1375920 \, B a^{5} b^{5} d^{2} x^{4} e^{9} + 1146600 \, A a^{4} b^{6} d^{2} x^{4} e^{9} + 423360 \, B a^{5} b^{5} d^{3} x^{3} e^{8} + 352800 \, A a^{4} b^{6} d^{3} x^{3} e^{8} + 90720 \, B a^{5} b^{5} d^{4} x^{2} e^{7} + 75600 \, A a^{4} b^{6} d^{4} x^{2} e^{7} + 12096 \, B a^{5} b^{5} d^{5} x e^{6} + 10080 \, A a^{4} b^{6} d^{5} x e^{6} + 756 \, B a^{5} b^{5} d^{6} e^{5} + 630 \, A a^{4} b^{6} d^{6} e^{5} + 4586400 \, B a^{6} b^{4} x^{5} e^{11} + 5503680 \, A a^{5} b^{5} x^{5} e^{11} + 1911000 \, B a^{6} b^{4} d x^{4} e^{10} + 2293200 \, A a^{5} b^{5} d x^{4} e^{10} + 588000 \, B a^{6} b^{4} d^{2} x^{3} e^{9} + 705600 \, A a^{5} b^{5} d^{2} x^{3} e^{9} + 126000 \, B a^{6} b^{4} d^{3} x^{2} e^{8} + 151200 \, A a^{5} b^{5} d^{3} x^{2} e^{8} + 16800 \, B a^{6} b^{4} d^{4} x e^{7} + 20160 \, A a^{5} b^{5} d^{4} x e^{7} + 1050 \, B a^{6} b^{4} d^{5} e^{6} + 1260 \, A a^{5} b^{5} d^{5} e^{6} + 2402400 \, B a^{7} b^{3} x^{4} e^{11} + 4204200 \, A a^{6} b^{4} x^{4} e^{11} + 739200 \, B a^{7} b^{3} d x^{3} e^{10} + 1293600 \, A a^{6} b^{4} d x^{3} e^{10} + 158400 \, B a^{7} b^{3} d^{2} x^{2} e^{9} + 277200 \, A a^{6} b^{4} d^{2} x^{2} e^{9} + 21120 \, B a^{7} b^{3} d^{3} x e^{8} + 36960 \, A a^{6} b^{4} d^{3} x e^{8} + 1320 \, B a^{7} b^{3} d^{4} e^{7} + 2310 \, A a^{6} b^{4} d^{4} e^{7} + 831600 \, B a^{8} b^{2} x^{3} e^{11} + 2217600 \, A a^{7} b^{3} x^{3} e^{11} + 178200 \, B a^{8} b^{2} d x^{2} e^{10} + 475200 \, A a^{7} b^{3} d x^{2} e^{10} + 23760 \, B a^{8} b^{2} d^{2} x e^{9} + 63360 \, A a^{7} b^{3} d^{2} x e^{9} + 1485 \, B a^{8} b^{2} d^{3} e^{8} + 3960 \, A a^{7} b^{3} d^{3} e^{8} + 171600 \, B a^{9} b x^{2} e^{11} + 772200 \, A a^{8} b^{2} x^{2} e^{11} + 22880 \, B a^{9} b d x e^{10} + 102960 \, A a^{8} b^{2} d x e^{10} + 1430 \, B a^{9} b d^{2} e^{9} + 6435 \, A a^{8} b^{2} d^{2} e^{9} + 16016 \, B a^{10} x e^{11} + 160160 \, A a^{9} b x e^{11} + 1001 \, B a^{10} d e^{10} + 10010 \, A a^{9} b d e^{10} + 15015 \, A a^{10} e^{11}\right)} e^{\left(-12\right)}}{240240 \, {\left(x e + d\right)}^{16}}"," ",0,"-1/240240*(48048*B*b^10*x^11*e^11 + 88088*B*b^10*d*x^10*e^10 + 125840*B*b^10*d^2*x^9*e^9 + 141570*B*b^10*d^3*x^8*e^8 + 125840*B*b^10*d^4*x^7*e^7 + 88088*B*b^10*d^5*x^6*e^6 + 48048*B*b^10*d^6*x^5*e^5 + 20020*B*b^10*d^7*x^4*e^4 + 6160*B*b^10*d^8*x^3*e^3 + 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75600*B*a^2*b^8*d^6*x^3*e^5 + 16800*A*a*b^9*d^6*x^3*e^5 + 16200*B*a^2*b^8*d^7*x^2*e^4 + 3600*A*a*b^9*d^7*x^2*e^4 + 2160*B*a^2*b^8*d^8*x*e^3 + 480*A*a*b^9*d^8*x*e^3 + 135*B*a^2*b^8*d^9*e^2 + 30*A*a*b^9*d^9*e^2 + 3603600*B*a^3*b^7*x^8*e^11 + 1351350*A*a^2*b^8*x^8*e^11 + 3203200*B*a^3*b^7*d*x^7*e^10 + 1201200*A*a^2*b^8*d*x^7*e^10 + 2242240*B*a^3*b^7*d^2*x^6*e^9 + 840840*A*a^2*b^8*d^2*x^6*e^9 + 1223040*B*a^3*b^7*d^3*x^5*e^8 + 458640*A*a^2*b^8*d^3*x^5*e^8 + 509600*B*a^3*b^7*d^4*x^4*e^7 + 191100*A*a^2*b^8*d^4*x^4*e^7 + 156800*B*a^3*b^7*d^5*x^3*e^6 + 58800*A*a^2*b^8*d^5*x^3*e^6 + 33600*B*a^3*b^7*d^6*x^2*e^5 + 12600*A*a^2*b^8*d^6*x^2*e^5 + 4480*B*a^3*b^7*d^7*x*e^4 + 1680*A*a^2*b^8*d^7*x*e^4 + 280*B*a^3*b^7*d^8*e^3 + 105*A*a^2*b^8*d^8*e^3 + 5605600*B*a^4*b^6*x^7*e^11 + 3203200*A*a^3*b^7*x^7*e^11 + 3923920*B*a^4*b^6*d*x^6*e^10 + 2242240*A*a^3*b^7*d*x^6*e^10 + 2140320*B*a^4*b^6*d^2*x^5*e^9 + 1223040*A*a^3*b^7*d^2*x^5*e^9 + 891800*B*a^4*b^6*d^3*x^4*e^8 + 509600*A*a^3*b^7*d^3*x^4*e^8 + 274400*B*a^4*b^6*d^4*x^3*e^7 + 156800*A*a^3*b^7*d^4*x^3*e^7 + 58800*B*a^4*b^6*d^5*x^2*e^6 + 33600*A*a^3*b^7*d^5*x^2*e^6 + 7840*B*a^4*b^6*d^6*x*e^5 + 4480*A*a^3*b^7*d^6*x*e^5 + 490*B*a^4*b^6*d^7*e^4 + 280*A*a^3*b^7*d^7*e^4 + 6054048*B*a^5*b^5*x^6*e^11 + 5045040*A*a^4*b^6*x^6*e^11 + 3302208*B*a^5*b^5*d*x^5*e^10 + 2751840*A*a^4*b^6*d*x^5*e^10 + 1375920*B*a^5*b^5*d^2*x^4*e^9 + 1146600*A*a^4*b^6*d^2*x^4*e^9 + 423360*B*a^5*b^5*d^3*x^3*e^8 + 352800*A*a^4*b^6*d^3*x^3*e^8 + 90720*B*a^5*b^5*d^4*x^2*e^7 + 75600*A*a^4*b^6*d^4*x^2*e^7 + 12096*B*a^5*b^5*d^5*x*e^6 + 10080*A*a^4*b^6*d^5*x*e^6 + 756*B*a^5*b^5*d^6*e^5 + 630*A*a^4*b^6*d^6*e^5 + 4586400*B*a^6*b^4*x^5*e^11 + 5503680*A*a^5*b^5*x^5*e^11 + 1911000*B*a^6*b^4*d*x^4*e^10 + 2293200*A*a^5*b^5*d*x^4*e^10 + 588000*B*a^6*b^4*d^2*x^3*e^9 + 705600*A*a^5*b^5*d^2*x^3*e^9 + 126000*B*a^6*b^4*d^3*x^2*e^8 + 151200*A*a^5*b^5*d^3*x^2*e^8 + 16800*B*a^6*b^4*d^4*x*e^7 + 20160*A*a^5*b^5*d^4*x*e^7 + 1050*B*a^6*b^4*d^5*e^6 + 1260*A*a^5*b^5*d^5*e^6 + 2402400*B*a^7*b^3*x^4*e^11 + 4204200*A*a^6*b^4*x^4*e^11 + 739200*B*a^7*b^3*d*x^3*e^10 + 1293600*A*a^6*b^4*d*x^3*e^10 + 158400*B*a^7*b^3*d^2*x^2*e^9 + 277200*A*a^6*b^4*d^2*x^2*e^9 + 21120*B*a^7*b^3*d^3*x*e^8 + 36960*A*a^6*b^4*d^3*x*e^8 + 1320*B*a^7*b^3*d^4*e^7 + 2310*A*a^6*b^4*d^4*e^7 + 831600*B*a^8*b^2*x^3*e^11 + 2217600*A*a^7*b^3*x^3*e^11 + 178200*B*a^8*b^2*d*x^2*e^10 + 475200*A*a^7*b^3*d*x^2*e^10 + 23760*B*a^8*b^2*d^2*x*e^9 + 63360*A*a^7*b^3*d^2*x*e^9 + 1485*B*a^8*b^2*d^3*e^8 + 3960*A*a^7*b^3*d^3*e^8 + 171600*B*a^9*b*x^2*e^11 + 772200*A*a^8*b^2*x^2*e^11 + 22880*B*a^9*b*d*x*e^10 + 102960*A*a^8*b^2*d*x*e^10 + 1430*B*a^9*b*d^2*e^9 + 6435*A*a^8*b^2*d^2*e^9 + 16016*B*a^10*x*e^11 + 160160*A*a^9*b*x*e^11 + 1001*B*a^10*d*e^10 + 10010*A*a^9*b*d*e^10 + 15015*A*a^10*e^11)*e^(-12)/(x*e + d)^16","B",0
1106,1,2096,0,1.278017," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^18,x, algorithm=""giac"")","-\frac{{\left(136136 \, B b^{10} x^{11} e^{11} + 213928 \, B b^{10} d x^{10} e^{10} + 267410 \, B b^{10} d^{2} x^{9} e^{9} + 267410 \, B b^{10} d^{3} x^{8} e^{8} + 213928 \, B b^{10} d^{4} x^{7} e^{7} + 136136 \, B b^{10} d^{5} x^{6} e^{6} + 68068 \, B b^{10} d^{6} x^{5} e^{5} + 26180 \, B b^{10} d^{7} x^{4} e^{4} + 7480 \, B b^{10} d^{8} x^{3} e^{3} + 1496 \, B b^{10} d^{9} x^{2} e^{2} + 187 \, B b^{10} d^{10} x e + 11 \, B b^{10} d^{11} + 1166880 \, B a b^{9} x^{10} e^{11} + 116688 \, A b^{10} x^{10} e^{11} + 1458600 \, B a b^{9} d x^{9} e^{10} + 145860 \, A b^{10} d x^{9} e^{10} + 1458600 \, B a b^{9} d^{2} x^{8} e^{9} + 145860 \, A b^{10} d^{2} x^{8} e^{9} + 1166880 \, B a b^{9} d^{3} x^{7} e^{8} + 116688 \, A b^{10} d^{3} x^{7} e^{8} + 742560 \, B a b^{9} d^{4} x^{6} e^{7} + 74256 \, A b^{10} d^{4} x^{6} e^{7} + 371280 \, B a b^{9} d^{5} x^{5} e^{6} + 37128 \, A b^{10} d^{5} x^{5} e^{6} + 142800 \, B a b^{9} d^{6} x^{4} e^{5} + 14280 \, A b^{10} d^{6} x^{4} e^{5} + 40800 \, B a b^{9} d^{7} x^{3} e^{4} + 4080 \, A b^{10} d^{7} x^{3} e^{4} + 8160 \, B a b^{9} d^{8} x^{2} e^{3} + 816 \, A b^{10} d^{8} x^{2} e^{3} + 1020 \, B a b^{9} d^{9} x e^{2} + 102 \, A b^{10} d^{9} x e^{2} + 60 \, B a b^{9} d^{10} e + 6 \, A b^{10} d^{10} e + 4594590 \, B a^{2} b^{8} x^{9} e^{11} + 1021020 \, A a b^{9} x^{9} e^{11} + 4594590 \, B a^{2} b^{8} d x^{8} e^{10} + 1021020 \, A a b^{9} d x^{8} e^{10} + 3675672 \, B a^{2} b^{8} d^{2} x^{7} e^{9} + 816816 \, A a b^{9} d^{2} x^{7} e^{9} + 2339064 \, B a^{2} b^{8} d^{3} x^{6} e^{8} + 519792 \, A a b^{9} d^{3} x^{6} e^{8} + 1169532 \, B a^{2} b^{8} d^{4} x^{5} e^{7} + 259896 \, A a b^{9} d^{4} x^{5} e^{7} + 449820 \, B a^{2} b^{8} d^{5} x^{4} e^{6} + 99960 \, A a b^{9} d^{5} x^{4} e^{6} + 128520 \, B a^{2} b^{8} d^{6} x^{3} e^{5} + 28560 \, A a b^{9} d^{6} x^{3} e^{5} + 25704 \, B a^{2} b^{8} d^{7} x^{2} e^{4} + 5712 \, A a b^{9} d^{7} x^{2} e^{4} + 3213 \, B a^{2} b^{8} d^{8} x e^{3} + 714 \, A a b^{9} d^{8} x e^{3} + 189 \, B a^{2} b^{8} d^{9} e^{2} + 42 \, A a b^{9} d^{9} e^{2} + 10890880 \, B a^{3} b^{7} x^{8} e^{11} + 4084080 \, A a^{2} b^{8} x^{8} e^{11} + 8712704 \, B a^{3} b^{7} d x^{7} e^{10} + 3267264 \, A a^{2} b^{8} d x^{7} e^{10} + 5544448 \, B a^{3} b^{7} d^{2} x^{6} e^{9} + 2079168 \, A a^{2} b^{8} d^{2} x^{6} e^{9} + 2772224 \, B a^{3} b^{7} d^{3} x^{5} e^{8} + 1039584 \, A a^{2} b^{8} d^{3} x^{5} e^{8} + 1066240 \, B a^{3} b^{7} d^{4} x^{4} e^{7} + 399840 \, A a^{2} b^{8} d^{4} x^{4} e^{7} + 304640 \, B a^{3} b^{7} d^{5} x^{3} e^{6} + 114240 \, A a^{2} b^{8} d^{5} x^{3} e^{6} + 60928 \, B a^{3} b^{7} d^{6} x^{2} e^{5} + 22848 \, A a^{2} b^{8} d^{6} x^{2} e^{5} + 7616 \, B a^{3} b^{7} d^{7} x e^{4} + 2856 \, A a^{2} b^{8} d^{7} x e^{4} + 448 \, B a^{3} b^{7} d^{8} e^{3} + 168 \, A a^{2} b^{8} d^{8} e^{3} + 17153136 \, B a^{4} b^{6} x^{7} e^{11} + 9801792 \, A a^{3} b^{7} x^{7} e^{11} + 10915632 \, B a^{4} b^{6} d x^{6} e^{10} + 6237504 \, A a^{3} b^{7} d x^{6} e^{10} + 5457816 \, B a^{4} b^{6} d^{2} x^{5} e^{9} + 3118752 \, A a^{3} b^{7} d^{2} x^{5} e^{9} + 2099160 \, B a^{4} b^{6} d^{3} x^{4} e^{8} + 1199520 \, A a^{3} b^{7} d^{3} x^{4} e^{8} + 599760 \, B a^{4} b^{6} d^{4} x^{3} e^{7} + 342720 \, A a^{3} b^{7} d^{4} x^{3} e^{7} + 119952 \, B a^{4} b^{6} d^{5} x^{2} e^{6} + 68544 \, A a^{3} b^{7} d^{5} x^{2} e^{6} + 14994 \, B a^{4} b^{6} d^{6} x e^{5} + 8568 \, A a^{3} b^{7} d^{6} x e^{5} + 882 \, B a^{4} b^{6} d^{7} e^{4} + 504 \, A a^{3} b^{7} d^{7} e^{4} + 18712512 \, B a^{5} b^{5} x^{6} e^{11} + 15593760 \, A a^{4} b^{6} x^{6} e^{11} + 9356256 \, B a^{5} b^{5} d x^{5} e^{10} + 7796880 \, A a^{4} b^{6} d x^{5} e^{10} + 3598560 \, B a^{5} b^{5} d^{2} x^{4} e^{9} + 2998800 \, A a^{4} b^{6} d^{2} x^{4} e^{9} + 1028160 \, B a^{5} b^{5} d^{3} x^{3} e^{8} + 856800 \, A a^{4} b^{6} d^{3} x^{3} e^{8} + 205632 \, B a^{5} b^{5} d^{4} x^{2} e^{7} + 171360 \, A a^{4} b^{6} d^{4} x^{2} e^{7} + 25704 \, B a^{5} b^{5} d^{5} x e^{6} + 21420 \, A a^{4} b^{6} d^{5} x e^{6} + 1512 \, B a^{5} b^{5} d^{6} e^{5} + 1260 \, A a^{4} b^{6} d^{6} e^{5} + 14294280 \, B a^{6} b^{4} x^{5} e^{11} + 17153136 \, A a^{5} b^{5} x^{5} e^{11} + 5497800 \, B a^{6} b^{4} d x^{4} e^{10} + 6597360 \, A a^{5} b^{5} d x^{4} e^{10} + 1570800 \, B a^{6} b^{4} d^{2} x^{3} e^{9} + 1884960 \, A a^{5} b^{5} d^{2} x^{3} e^{9} + 314160 \, B a^{6} b^{4} d^{3} x^{2} e^{8} + 376992 \, A a^{5} b^{5} d^{3} x^{2} e^{8} + 39270 \, B a^{6} b^{4} d^{4} x e^{7} + 47124 \, A a^{5} b^{5} d^{4} x e^{7} + 2310 \, B a^{6} b^{4} d^{5} e^{6} + 2772 \, A a^{5} b^{5} d^{5} e^{6} + 7539840 \, B a^{7} b^{3} x^{4} e^{11} + 13194720 \, A a^{6} b^{4} x^{4} e^{11} + 2154240 \, B a^{7} b^{3} d x^{3} e^{10} + 3769920 \, A a^{6} b^{4} d x^{3} e^{10} + 430848 \, B a^{7} b^{3} d^{2} x^{2} e^{9} + 753984 \, A a^{6} b^{4} d^{2} x^{2} e^{9} + 53856 \, B a^{7} b^{3} d^{3} x e^{8} + 94248 \, A a^{6} b^{4} d^{3} x e^{8} + 3168 \, B a^{7} b^{3} d^{4} e^{7} + 5544 \, A a^{6} b^{4} d^{4} e^{7} + 2625480 \, B a^{8} b^{2} x^{3} e^{11} + 7001280 \, A a^{7} b^{3} x^{3} e^{11} + 525096 \, B a^{8} b^{2} d x^{2} e^{10} + 1400256 \, A a^{7} b^{3} d x^{2} e^{10} + 65637 \, B a^{8} b^{2} d^{2} x e^{9} + 175032 \, A a^{7} b^{3} d^{2} x e^{9} + 3861 \, B a^{8} b^{2} d^{3} e^{8} + 10296 \, A a^{7} b^{3} d^{3} e^{8} + 544544 \, B a^{9} b x^{2} e^{11} + 2450448 \, A a^{8} b^{2} x^{2} e^{11} + 68068 \, B a^{9} b d x e^{10} + 306306 \, A a^{8} b^{2} d x e^{10} + 4004 \, B a^{9} b d^{2} e^{9} + 18018 \, A a^{8} b^{2} d^{2} e^{9} + 51051 \, B a^{10} x e^{11} + 510510 \, A a^{9} b x e^{11} + 3003 \, B a^{10} d e^{10} + 30030 \, A a^{9} b d e^{10} + 48048 \, A a^{10} e^{11}\right)} e^{\left(-12\right)}}{816816 \, {\left(x e + d\right)}^{17}}"," ",0,"-1/816816*(136136*B*b^10*x^11*e^11 + 213928*B*b^10*d*x^10*e^10 + 267410*B*b^10*d^2*x^9*e^9 + 267410*B*b^10*d^3*x^8*e^8 + 213928*B*b^10*d^4*x^7*e^7 + 136136*B*b^10*d^5*x^6*e^6 + 68068*B*b^10*d^6*x^5*e^5 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1107,1,2096,0,1.454335," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^19,x, algorithm=""giac"")","-\frac{{\left(350064 \, B b^{10} x^{11} e^{11} + 481338 \, B b^{10} d x^{10} e^{10} + 534820 \, B b^{10} d^{2} x^{9} e^{9} + 481338 \, B b^{10} d^{3} x^{8} e^{8} + 350064 \, B b^{10} d^{4} x^{7} e^{7} + 204204 \, B b^{10} d^{5} x^{6} e^{6} + 94248 \, B b^{10} d^{6} x^{5} e^{5} + 33660 \, B b^{10} d^{7} x^{4} e^{4} + 8976 \, B b^{10} d^{8} x^{3} e^{3} + 1683 \, B b^{10} d^{9} x^{2} e^{2} + 198 \, B b^{10} d^{10} x e + 11 \, B b^{10} d^{11} + 3063060 \, B a b^{9} x^{10} e^{11} + 306306 \, A b^{10} x^{10} e^{11} + 3403400 \, B a b^{9} d x^{9} e^{10} + 340340 \, A b^{10} d x^{9} e^{10} + 3063060 \, B a b^{9} d^{2} x^{8} e^{9} + 306306 \, A b^{10} d^{2} x^{8} e^{9} + 2227680 \, B a b^{9} d^{3} x^{7} e^{8} + 222768 \, A b^{10} d^{3} x^{7} e^{8} + 1299480 \, B a b^{9} d^{4} x^{6} e^{7} + 129948 \, A b^{10} d^{4} x^{6} e^{7} + 599760 \, B a b^{9} d^{5} x^{5} e^{6} + 59976 \, A b^{10} d^{5} x^{5} e^{6} 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x^{2} e^{4} + 4536 \, B a^{2} b^{8} d^{8} x e^{3} + 1008 \, A a b^{9} d^{8} x e^{3} + 252 \, B a^{2} b^{8} d^{9} e^{2} + 56 \, A a b^{9} d^{9} e^{2} + 29405376 \, B a^{3} b^{7} x^{8} e^{11} + 11027016 \, A a^{2} b^{8} x^{8} e^{11} + 21385728 \, B a^{3} b^{7} d x^{7} e^{10} + 8019648 \, A a^{2} b^{8} d x^{7} e^{10} + 12475008 \, B a^{3} b^{7} d^{2} x^{6} e^{9} + 4678128 \, A a^{2} b^{8} d^{2} x^{6} e^{9} + 5757696 \, B a^{3} b^{7} d^{3} x^{5} e^{8} + 2159136 \, A a^{2} b^{8} d^{3} x^{5} e^{8} + 2056320 \, B a^{3} b^{7} d^{4} x^{4} e^{7} + 771120 \, A a^{2} b^{8} d^{4} x^{4} e^{7} + 548352 \, B a^{3} b^{7} d^{5} x^{3} e^{6} + 205632 \, A a^{2} b^{8} d^{5} x^{3} e^{6} + 102816 \, B a^{3} b^{7} d^{6} x^{2} e^{5} + 38556 \, A a^{2} b^{8} d^{6} x^{2} e^{5} + 12096 \, B a^{3} b^{7} d^{7} x e^{4} + 4536 \, A a^{2} b^{8} d^{7} x e^{4} + 672 \, B a^{3} b^{7} d^{8} e^{3} + 252 \, A a^{2} b^{8} d^{8} e^{3} + 46781280 \, B a^{4} b^{6} x^{7} e^{11} + 26732160 \, A a^{3} b^{7} x^{7} e^{11} + 27289080 \, B a^{4} b^{6} d x^{6} e^{10} + 15593760 \, A a^{3} b^{7} d x^{6} e^{10} + 12594960 \, B a^{4} b^{6} d^{2} x^{5} e^{9} + 7197120 \, A a^{3} b^{7} d^{2} x^{5} e^{9} + 4498200 \, B a^{4} b^{6} d^{3} x^{4} e^{8} + 2570400 \, A a^{3} b^{7} d^{3} x^{4} e^{8} + 1199520 \, B a^{4} b^{6} d^{4} x^{3} e^{7} + 685440 \, A a^{3} b^{7} d^{4} x^{3} e^{7} + 224910 \, B a^{4} b^{6} d^{5} x^{2} e^{6} + 128520 \, A a^{3} b^{7} d^{5} x^{2} e^{6} + 26460 \, B a^{4} b^{6} d^{6} x e^{5} + 15120 \, A a^{3} b^{7} d^{6} x e^{5} + 1470 \, B a^{4} b^{6} d^{7} e^{4} + 840 \, A a^{3} b^{7} d^{7} e^{4} + 51459408 \, B a^{5} b^{5} x^{6} e^{11} + 42882840 \, A a^{4} b^{6} x^{6} e^{11} + 23750496 \, B a^{5} b^{5} d x^{5} e^{10} + 19792080 \, A a^{4} b^{6} d x^{5} e^{10} + 8482320 \, B a^{5} b^{5} d^{2} x^{4} e^{9} + 7068600 \, A a^{4} b^{6} d^{2} x^{4} e^{9} + 2261952 \, B a^{5} b^{5} d^{3} x^{3} e^{8} + 1884960 \, A a^{4} b^{6} d^{3} x^{3} e^{8} + 424116 \, B a^{5} b^{5} d^{4} x^{2} e^{7} + 353430 \, A a^{4} b^{6} d^{4} x^{2} e^{7} + 49896 \, B a^{5} b^{5} d^{5} x e^{6} + 41580 \, A a^{4} b^{6} d^{5} x e^{6} + 2772 \, B a^{5} b^{5} d^{6} e^{5} + 2310 \, A a^{4} b^{6} d^{6} e^{5} + 39584160 \, B a^{6} b^{4} x^{5} e^{11} + 47500992 \, A a^{5} b^{5} x^{5} e^{11} + 14137200 \, B a^{6} b^{4} d x^{4} e^{10} + 16964640 \, A a^{5} b^{5} d x^{4} e^{10} + 3769920 \, B a^{6} b^{4} d^{2} x^{3} e^{9} + 4523904 \, A a^{5} b^{5} d^{2} x^{3} e^{9} + 706860 \, B a^{6} b^{4} d^{3} x^{2} e^{8} + 848232 \, A a^{5} b^{5} d^{3} x^{2} e^{8} + 83160 \, B a^{6} b^{4} d^{4} x e^{7} + 99792 \, A a^{5} b^{5} d^{4} x e^{7} + 4620 \, B a^{6} b^{4} d^{5} e^{6} + 5544 \, A a^{5} b^{5} d^{5} e^{6} + 21003840 \, B a^{7} b^{3} x^{4} e^{11} + 36756720 \, A a^{6} b^{4} x^{4} e^{11} + 5601024 \, B a^{7} b^{3} d x^{3} e^{10} + 9801792 \, A a^{6} b^{4} d x^{3} e^{10} + 1050192 \, B a^{7} b^{3} d^{2} x^{2} e^{9} + 1837836 \, A a^{6} b^{4} d^{2} x^{2} e^{9} + 123552 \, B a^{7} b^{3} d^{3} x e^{8} + 216216 \, A a^{6} b^{4} d^{3} x e^{8} + 6864 \, B a^{7} b^{3} d^{4} e^{7} + 12012 \, A a^{6} b^{4} d^{4} e^{7} + 7351344 \, B a^{8} b^{2} x^{3} e^{11} + 19603584 \, A a^{7} b^{3} x^{3} e^{11} + 1378377 \, B a^{8} b^{2} d x^{2} e^{10} + 3675672 \, A a^{7} b^{3} d x^{2} e^{10} + 162162 \, B a^{8} b^{2} d^{2} x e^{9} + 432432 \, A a^{7} b^{3} d^{2} x e^{9} + 9009 \, B a^{8} b^{2} d^{3} e^{8} + 24024 \, A a^{7} b^{3} d^{3} e^{8} + 1531530 \, B a^{9} b x^{2} e^{11} + 6891885 \, A a^{8} b^{2} x^{2} e^{11} + 180180 \, B a^{9} b d x e^{10} + 810810 \, A a^{8} b^{2} d x e^{10} + 10010 \, B a^{9} b d^{2} e^{9} + 45045 \, A a^{8} b^{2} d^{2} e^{9} + 144144 \, B a^{10} x e^{11} + 1441440 \, A a^{9} b x e^{11} + 8008 \, B a^{10} d e^{10} + 80080 \, A a^{9} b d e^{10} + 136136 \, A a^{10} e^{11}\right)} e^{\left(-12\right)}}{2450448 \, {\left(x e + d\right)}^{18}}"," ",0,"-1/2450448*(350064*B*b^10*x^11*e^11 + 481338*B*b^10*d*x^10*e^10 + 534820*B*b^10*d^2*x^9*e^9 + 481338*B*b^10*d^3*x^8*e^8 + 350064*B*b^10*d^4*x^7*e^7 + 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1108,1,2096,0,1.287074," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^20,x, algorithm=""giac"")","-\frac{{\left(831402 \, B b^{10} x^{11} e^{11} + 1016158 \, B b^{10} d x^{10} e^{10} + 1016158 \, B b^{10} d^{2} x^{9} e^{9} + 831402 \, B b^{10} d^{3} x^{8} e^{8} + 554268 \, B b^{10} d^{4} x^{7} e^{7} + 298452 \, B b^{10} d^{5} x^{6} e^{6} + 127908 \, B b^{10} d^{6} x^{5} e^{5} + 42636 \, B b^{10} d^{7} x^{4} e^{4} + 10659 \, B b^{10} d^{8} x^{3} e^{3} + 1881 \, B b^{10} d^{9} x^{2} e^{2} + 209 \, B b^{10} d^{10} x e + 11 \, B b^{10} d^{11} + 7390240 \, B a b^{9} x^{10} e^{11} + 739024 \, A b^{10} x^{10} e^{11} + 7390240 \, B a b^{9} d x^{9} e^{10} + 739024 \, A b^{10} d x^{9} e^{10} + 6046560 \, B a b^{9} d^{2} x^{8} e^{9} + 604656 \, A b^{10} d^{2} x^{8} e^{9} + 4031040 \, B a b^{9} d^{3} x^{7} e^{8} + 403104 \, A b^{10} d^{3} x^{7} e^{8} + 2170560 \, B a b^{9} d^{4} x^{6} e^{7} + 217056 \, A b^{10} d^{4} x^{6} e^{7} + 930240 \, B a b^{9} d^{5} x^{5} e^{6} + 93024 \, A b^{10} d^{5} x^{5} e^{6} + 310080 \, B a b^{9} d^{6} x^{4} e^{5} + 31008 \, A b^{10} d^{6} x^{4} e^{5} + 77520 \, B a b^{9} d^{7} x^{3} e^{4} + 7752 \, A b^{10} d^{7} x^{3} e^{4} + 13680 \, B a b^{9} d^{8} x^{2} e^{3} + 1368 \, A b^{10} d^{8} x^{2} e^{3} + 1520 \, B a b^{9} d^{9} x e^{2} + 152 \, A b^{10} d^{9} x e^{2} + 80 \, B a b^{9} d^{10} e + 8 \, A b^{10} d^{10} e + 29930472 \, B a^{2} b^{8} x^{9} e^{11} + 6651216 \, A a b^{9} x^{9} e^{11} + 24488568 \, B a^{2} b^{8} d x^{8} e^{10} + 5441904 \, A a b^{9} d x^{8} e^{10} + 16325712 \, B a^{2} b^{8} d^{2} x^{7} e^{9} + 3627936 \, A a b^{9} d^{2} x^{7} e^{9} + 8790768 \, B a^{2} b^{8} d^{3} x^{6} e^{8} + 1953504 \, A a b^{9} d^{3} x^{6} e^{8} + 3767472 \, B a^{2} b^{8} d^{4} x^{5} e^{7} + 837216 \, A a b^{9} d^{4} x^{5} e^{7} + 1255824 \, B a^{2} b^{8} d^{5} x^{4} e^{6} + 279072 \, A a b^{9} d^{5} x^{4} e^{6} + 313956 \, B a^{2} b^{8} d^{6} x^{3} e^{5} + 69768 \, A a b^{9} d^{6} x^{3} e^{5} + 55404 \, B a^{2} b^{8} d^{7} x^{2} e^{4} + 12312 \, A a b^{9} d^{7} x^{2} e^{4} + 6156 \, B a^{2} b^{8} d^{8} x e^{3} + 1368 \, A a b^{9} d^{8} x e^{3} + 324 \, B a^{2} b^{8} d^{9} e^{2} + 72 \, A a b^{9} d^{9} e^{2} + 72558720 \, B a^{3} b^{7} x^{8} e^{11} + 27209520 \, A a^{2} b^{8} x^{8} e^{11} + 48372480 \, B a^{3} b^{7} d x^{7} e^{10} + 18139680 \, A a^{2} b^{8} d x^{7} e^{10} + 26046720 \, B a^{3} b^{7} d^{2} x^{6} e^{9} + 9767520 \, A a^{2} b^{8} d^{2} x^{6} e^{9} + 11162880 \, B a^{3} b^{7} d^{3} x^{5} e^{8} + 4186080 \, A a^{2} b^{8} d^{3} x^{5} e^{8} + 3720960 \, B a^{3} b^{7} d^{4} x^{4} e^{7} + 1395360 \, A a^{2} b^{8} d^{4} x^{4} e^{7} + 930240 \, B a^{3} b^{7} d^{5} x^{3} e^{6} + 348840 \, A a^{2} b^{8} d^{5} x^{3} e^{6} + 164160 \, B a^{3} b^{7} d^{6} x^{2} e^{5} + 61560 \, A a^{2} b^{8} d^{6} x^{2} e^{5} + 18240 \, B a^{3} b^{7} d^{7} x e^{4} + 6840 \, A a^{2} b^{8} d^{7} x e^{4} + 960 \, B a^{3} b^{7} d^{8} e^{3} + 360 \, A a^{2} b^{8} d^{8} e^{3} + 116396280 \, B a^{4} b^{6} x^{7} e^{11} + 66512160 \, A a^{3} b^{7} x^{7} e^{11} + 62674920 \, B a^{4} b^{6} d x^{6} e^{10} + 35814240 \, A a^{3} b^{7} d x^{6} e^{10} + 26860680 \, B a^{4} b^{6} d^{2} x^{5} e^{9} + 15348960 \, A a^{3} b^{7} d^{2} x^{5} e^{9} + 8953560 \, B a^{4} b^{6} d^{3} x^{4} e^{8} + 5116320 \, A a^{3} b^{7} d^{3} x^{4} e^{8} + 2238390 \, B a^{4} b^{6} d^{4} x^{3} e^{7} + 1279080 \, A a^{3} b^{7} d^{4} x^{3} e^{7} + 395010 \, B a^{4} b^{6} d^{5} x^{2} e^{6} + 225720 \, A a^{3} b^{7} d^{5} x^{2} e^{6} + 43890 \, B a^{4} b^{6} d^{6} x e^{5} + 25080 \, A a^{3} b^{7} d^{6} x e^{5} + 2310 \, B a^{4} b^{6} d^{7} e^{4} + 1320 \, A a^{3} b^{7} d^{7} e^{4} + 128931264 \, B a^{5} b^{5} x^{6} e^{11} + 107442720 \, A a^{4} b^{6} x^{6} e^{11} + 55256256 \, B a^{5} b^{5} d x^{5} e^{10} + 46046880 \, A a^{4} b^{6} d x^{5} e^{10} + 18418752 \, B a^{5} b^{5} d^{2} x^{4} e^{9} + 15348960 \, A a^{4} b^{6} d^{2} x^{4} e^{9} + 4604688 \, B a^{5} b^{5} d^{3} x^{3} e^{8} + 3837240 \, A a^{4} b^{6} d^{3} x^{3} e^{8} + 812592 \, B a^{5} b^{5} d^{4} x^{2} e^{7} + 677160 \, A a^{4} b^{6} d^{4} x^{2} e^{7} + 90288 \, B a^{5} b^{5} d^{5} x e^{6} + 75240 \, A a^{4} b^{6} d^{5} x e^{6} + 4752 \, B a^{5} b^{5} d^{6} e^{5} + 3960 \, A a^{4} b^{6} d^{6} e^{5} + 99768240 \, B a^{6} b^{4} x^{5} e^{11} + 119721888 \, A a^{5} b^{5} x^{5} e^{11} + 33256080 \, B a^{6} b^{4} d x^{4} e^{10} + 39907296 \, A a^{5} b^{5} d x^{4} e^{10} + 8314020 \, B a^{6} b^{4} d^{2} x^{3} e^{9} + 9976824 \, A a^{5} b^{5} d^{2} x^{3} e^{9} + 1467180 \, B a^{6} b^{4} d^{3} x^{2} e^{8} + 1760616 \, A a^{5} b^{5} d^{3} x^{2} e^{8} + 163020 \, B a^{6} b^{4} d^{4} x e^{7} + 195624 \, A a^{5} b^{5} d^{4} x e^{7} + 8580 \, B a^{6} b^{4} d^{5} e^{6} + 10296 \, A a^{5} b^{5} d^{5} e^{6} + 53209728 \, B a^{7} b^{3} x^{4} e^{11} + 93117024 \, A a^{6} b^{4} x^{4} e^{11} + 13302432 \, B a^{7} b^{3} d x^{3} e^{10} + 23279256 \, A a^{6} b^{4} d x^{3} e^{10} + 2347488 \, B a^{7} b^{3} d^{2} x^{2} e^{9} + 4108104 \, A a^{6} b^{4} d^{2} x^{2} e^{9} + 260832 \, B a^{7} b^{3} d^{3} x e^{8} + 456456 \, A a^{6} b^{4} d^{3} x e^{8} + 13728 \, B a^{7} b^{3} d^{4} e^{7} + 24024 \, A a^{6} b^{4} d^{4} e^{7} + 18706545 \, B a^{8} b^{2} x^{3} e^{11} + 49884120 \, A a^{7} b^{3} x^{3} e^{11} + 3301155 \, B a^{8} b^{2} d x^{2} e^{10} + 8803080 \, A a^{7} b^{3} d x^{2} e^{10} + 366795 \, B a^{8} b^{2} d^{2} x e^{9} + 978120 \, A a^{7} b^{3} d^{2} x e^{9} + 19305 \, B a^{8} b^{2} d^{3} e^{8} + 51480 \, A a^{7} b^{3} d^{3} e^{8} + 3912480 \, B a^{9} b x^{2} e^{11} + 17606160 \, A a^{8} b^{2} x^{2} e^{11} + 434720 \, B a^{9} b d x e^{10} + 1956240 \, A a^{8} b^{2} d x e^{10} + 22880 \, B a^{9} b d^{2} e^{9} + 102960 \, A a^{8} b^{2} d^{2} e^{9} + 369512 \, B a^{10} x e^{11} + 3695120 \, A a^{9} b x e^{11} + 19448 \, B a^{10} d e^{10} + 194480 \, A a^{9} b d e^{10} + 350064 \, A a^{10} e^{11}\right)} e^{\left(-12\right)}}{6651216 \, {\left(x e + d\right)}^{19}}"," ",0,"-1/6651216*(831402*B*b^10*x^11*e^11 + 1016158*B*b^10*d*x^10*e^10 + 1016158*B*b^10*d^2*x^9*e^9 + 831402*B*b^10*d^3*x^8*e^8 + 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194480*A*a^9*b*d*e^10 + 350064*A*a^10*e^11)*e^(-12)/(x*e + d)^19","B",0
1109,1,2096,0,1.329238," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^21,x, algorithm=""giac"")","-\frac{{\left(1847560 \, B b^{10} x^{11} e^{11} + 2032316 \, B b^{10} d x^{10} e^{10} + 1847560 \, B b^{10} d^{2} x^{9} e^{9} + 1385670 \, B b^{10} d^{3} x^{8} e^{8} + 852720 \, B b^{10} d^{4} x^{7} e^{7} + 426360 \, B b^{10} d^{5} x^{6} e^{6} + 170544 \, B b^{10} d^{6} x^{5} e^{5} + 53295 \, B b^{10} d^{7} x^{4} e^{4} + 12540 \, B b^{10} d^{8} x^{3} e^{3} + 2090 \, B b^{10} d^{9} x^{2} e^{2} + 220 \, B b^{10} d^{10} x e + 11 \, B b^{10} d^{11} + 16628040 \, B a b^{9} x^{10} e^{11} + 1662804 \, A b^{10} x^{10} e^{11} + 15116400 \, B a b^{9} d x^{9} e^{10} + 1511640 \, A b^{10} d x^{9} e^{10} + 11337300 \, B a b^{9} d^{2} x^{8} e^{9} + 1133730 \, A b^{10} d^{2} x^{8} e^{9} + 6976800 \, B a b^{9} d^{3} x^{7} e^{8} + 697680 \, A b^{10} d^{3} x^{7} e^{8} + 3488400 \, B a b^{9} d^{4} x^{6} e^{7} + 348840 \, A b^{10} d^{4} x^{6} e^{7} + 1395360 \, B a b^{9} d^{5} x^{5} e^{6} + 139536 \, A b^{10} 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b^{5} d^{4} x^{2} e^{7} + 1222650 \, A a^{4} b^{6} d^{4} x^{2} e^{7} + 154440 \, B a^{5} b^{5} d^{5} x e^{6} + 128700 \, A a^{4} b^{6} d^{5} x e^{6} + 7722 \, B a^{5} b^{5} d^{6} e^{5} + 6435 \, A a^{4} b^{6} d^{6} e^{5} + 232792560 \, B a^{6} b^{4} x^{5} e^{11} + 279351072 \, A a^{5} b^{5} x^{5} e^{11} + 72747675 \, B a^{6} b^{4} d x^{4} e^{10} + 87297210 \, A a^{5} b^{5} d x^{4} e^{10} + 17117100 \, B a^{6} b^{4} d^{2} x^{3} e^{9} + 20540520 \, A a^{5} b^{5} d^{2} x^{3} e^{9} + 2852850 \, B a^{6} b^{4} d^{3} x^{2} e^{8} + 3423420 \, A a^{5} b^{5} d^{3} x^{2} e^{8} + 300300 \, B a^{6} b^{4} d^{4} x e^{7} + 360360 \, A a^{5} b^{5} d^{4} x e^{7} + 15015 \, B a^{6} b^{4} d^{5} e^{6} + 18018 \, A a^{5} b^{5} d^{5} e^{6} + 124710300 \, B a^{7} b^{3} x^{4} e^{11} + 218243025 \, A a^{6} b^{4} x^{4} e^{11} + 29343600 \, B a^{7} b^{3} d x^{3} e^{10} + 51351300 \, A a^{6} b^{4} d x^{3} e^{10} + 4890600 \, B a^{7} b^{3} d^{2} x^{2} e^{9} + 8558550 \, A a^{6} b^{4} d^{2} x^{2} e^{9} + 514800 \, B a^{7} b^{3} d^{3} x e^{8} + 900900 \, A a^{6} b^{4} d^{3} x e^{8} + 25740 \, B a^{7} b^{3} d^{4} e^{7} + 45045 \, A a^{6} b^{4} d^{4} e^{7} + 44015400 \, B a^{8} b^{2} x^{3} e^{11} + 117374400 \, A a^{7} b^{3} x^{3} e^{11} + 7335900 \, B a^{8} b^{2} d x^{2} e^{10} + 19562400 \, A a^{7} b^{3} d x^{2} e^{10} + 772200 \, B a^{8} b^{2} d^{2} x e^{9} + 2059200 \, A a^{7} b^{3} d^{2} x e^{9} + 38610 \, B a^{8} b^{2} d^{3} e^{8} + 102960 \, A a^{7} b^{3} d^{3} e^{8} + 9237800 \, B a^{9} b x^{2} e^{11} + 41570100 \, A a^{8} b^{2} x^{2} e^{11} + 972400 \, B a^{9} b d x e^{10} + 4375800 \, A a^{8} b^{2} d x e^{10} + 48620 \, B a^{9} b d^{2} e^{9} + 218790 \, A a^{8} b^{2} d^{2} e^{9} + 875160 \, B a^{10} x e^{11} + 8751600 \, A a^{9} b x e^{11} + 43758 \, B a^{10} d e^{10} + 437580 \, A a^{9} b d e^{10} + 831402 \, A a^{10} e^{11}\right)} e^{\left(-12\right)}}{16628040 \, {\left(x e + d\right)}^{20}}"," ",0,"-1/16628040*(1847560*B*b^10*x^11*e^11 + 2032316*B*b^10*d*x^10*e^10 + 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1110,1,2096,0,1.362137," ","integrate((b*x+a)^10*(B*x+A)/(e*x+d)^22,x, algorithm=""giac"")","-\frac{{\left(3879876 \, B b^{10} x^{11} e^{11} + 3879876 \, B b^{10} d x^{10} e^{10} + 3233230 \, B b^{10} d^{2} x^{9} e^{9} + 2238390 \, B b^{10} d^{3} x^{8} e^{8} + 1279080 \, B b^{10} d^{4} x^{7} e^{7} + 596904 \, B b^{10} d^{5} x^{6} e^{6} + 223839 \, B b^{10} d^{6} x^{5} e^{5} + 65835 \, B b^{10} d^{7} x^{4} e^{4} + 14630 \, B b^{10} d^{8} x^{3} e^{3} + 2310 \, B b^{10} d^{9} x^{2} e^{2} + 231 \, B b^{10} d^{10} x e + 11 \, B b^{10} d^{11} + 35271600 \, B a b^{9} x^{10} e^{11} + 3527160 \, A b^{10} x^{10} e^{11} + 29393000 \, B a b^{9} d x^{9} e^{10} + 2939300 \, A b^{10} d x^{9} e^{10} + 20349000 \, B a b^{9} d^{2} x^{8} e^{9} + 2034900 \, A b^{10} d^{2} x^{8} e^{9} + 11628000 \, B a b^{9} d^{3} x^{7} e^{8} + 1162800 \, A b^{10} d^{3} x^{7} e^{8} + 5426400 \, B a b^{9} d^{4} x^{6} e^{7} + 542640 \, A b^{10} d^{4} x^{6} e^{7} + 2034900 \, B a b^{9} d^{5} x^{5} e^{6} + 203490 \, A b^{10} d^{5} x^{5} e^{6} + 598500 \, B a b^{9} d^{6} x^{4} e^{5} + 59850 \, A b^{10} d^{6} x^{4} e^{5} + 133000 \, B a b^{9} d^{7} x^{3} e^{4} + 13300 \, A b^{10} d^{7} x^{3} e^{4} + 21000 \, B a b^{9} d^{8} x^{2} e^{3} + 2100 \, A b^{10} d^{8} x^{2} e^{3} + 2100 \, B a b^{9} d^{9} x e^{2} + 210 \, A b^{10} d^{9} x e^{2} + 100 \, B a b^{9} d^{10} e + 10 \, A b^{10} d^{10} e + 145495350 \, B a^{2} b^{8} x^{9} e^{11} + 32332300 \, A a b^{9} x^{9} e^{11} + 100727550 \, B a^{2} b^{8} d x^{8} e^{10} + 22383900 \, A a b^{9} d x^{8} e^{10} + 57558600 \, B a^{2} b^{8} d^{2} x^{7} e^{9} + 12790800 \, A a b^{9} d^{2} x^{7} e^{9} + 26860680 \, B a^{2} b^{8} d^{3} x^{6} e^{8} + 5969040 \, A a b^{9} d^{3} x^{6} e^{8} + 10072755 \, B a^{2} b^{8} d^{4} x^{5} e^{7} + 2238390 \, A a b^{9} d^{4} x^{5} e^{7} + 2962575 \, B a^{2} b^{8} d^{5} x^{4} e^{6} + 658350 \, A a b^{9} d^{5} x^{4} e^{6} + 658350 \, B a^{2} b^{8} d^{6} x^{3} e^{5} + 146300 \, A a b^{9} d^{6} x^{3} e^{5} + 103950 \, B a^{2} b^{8} d^{7} x^{2} e^{4} + 23100 \, A a b^{9} d^{7} x^{2} e^{4} + 10395 \, B a^{2} b^{8} d^{8} x e^{3} + 2310 \, A a b^{9} d^{8} x e^{3} + 495 \, B a^{2} b^{8} d^{9} e^{2} + 110 \, A a b^{9} d^{9} e^{2} + 358142400 \, B a^{3} b^{7} x^{8} e^{11} + 134303400 \, A a^{2} b^{8} x^{8} e^{11} + 204652800 \, B a^{3} b^{7} d x^{7} e^{10} + 76744800 \, A a^{2} b^{8} d x^{7} e^{10} + 95504640 \, B a^{3} b^{7} d^{2} x^{6} e^{9} + 35814240 \, A a^{2} b^{8} d^{2} x^{6} e^{9} + 35814240 \, B a^{3} b^{7} d^{3} x^{5} e^{8} + 13430340 \, A a^{2} b^{8} d^{3} x^{5} e^{8} + 10533600 \, B a^{3} b^{7} d^{4} x^{4} e^{7} + 3950100 \, A a^{2} b^{8} d^{4} x^{4} e^{7} + 2340800 \, B a^{3} b^{7} d^{5} x^{3} e^{6} + 877800 \, A a^{2} b^{8} d^{5} x^{3} e^{6} + 369600 \, B a^{3} b^{7} d^{6} x^{2} e^{5} + 138600 \, A a^{2} b^{8} d^{6} x^{2} e^{5} + 36960 \, B a^{3} b^{7} d^{7} x e^{4} + 13860 \, A a^{2} b^{8} d^{7} x e^{4} + 1760 \, B a^{3} b^{7} d^{8} e^{3} + 660 \, A a^{2} b^{8} d^{8} e^{3} + 581981400 \, B a^{4} b^{6} x^{7} e^{11} + 332560800 \, A a^{3} b^{7} x^{7} e^{11} + 271591320 \, B a^{4} b^{6} d x^{6} e^{10} + 155195040 \, A a^{3} b^{7} d x^{6} e^{10} + 101846745 \, B a^{4} b^{6} d^{2} x^{5} e^{9} + 58198140 \, A a^{3} b^{7} d^{2} x^{5} e^{9} + 29954925 \, B a^{4} b^{6} d^{3} x^{4} e^{8} + 17117100 \, A a^{3} b^{7} d^{3} x^{4} e^{8} + 6656650 \, B a^{4} b^{6} d^{4} x^{3} e^{7} + 3803800 \, A a^{3} b^{7} d^{4} x^{3} e^{7} + 1051050 \, B a^{4} b^{6} d^{5} x^{2} e^{6} + 600600 \, A a^{3} b^{7} d^{5} x^{2} e^{6} + 105105 \, B a^{4} b^{6} d^{6} x e^{5} + 60060 \, A a^{3} b^{7} d^{6} x e^{5} + 5005 \, B a^{4} b^{6} d^{7} e^{4} + 2860 \, A a^{3} b^{7} d^{7} e^{4} + 651819168 \, B a^{5} b^{5} x^{6} e^{11} + 543182640 \, A a^{4} b^{6} x^{6} e^{11} + 244432188 \, B a^{5} b^{5} d x^{5} e^{10} + 203693490 \, A a^{4} b^{6} d x^{5} e^{10} + 71891820 \, B a^{5} b^{5} d^{2} x^{4} e^{9} + 59909850 \, A a^{4} b^{6} d^{2} x^{4} e^{9} + 15975960 \, B a^{5} b^{5} d^{3} x^{3} e^{8} + 13313300 \, A a^{4} b^{6} d^{3} x^{3} e^{8} + 2522520 \, B a^{5} b^{5} d^{4} x^{2} e^{7} + 2102100 \, A a^{4} b^{6} d^{4} x^{2} e^{7} + 252252 \, B a^{5} b^{5} d^{5} x e^{6} + 210210 \, A a^{4} b^{6} d^{5} x e^{6} + 12012 \, B a^{5} b^{5} d^{6} e^{5} + 10010 \, A a^{4} b^{6} d^{6} e^{5} + 509233725 \, B a^{6} b^{4} x^{5} e^{11} + 611080470 \, A a^{5} b^{5} x^{5} e^{11} + 149774625 \, B a^{6} b^{4} d x^{4} e^{10} + 179729550 \, A a^{5} b^{5} d x^{4} e^{10} + 33283250 \, B a^{6} b^{4} d^{2} x^{3} e^{9} + 39939900 \, A a^{5} b^{5} d^{2} x^{3} e^{9} + 5255250 \, B a^{6} b^{4} d^{3} x^{2} e^{8} + 6306300 \, A a^{5} b^{5} d^{3} x^{2} e^{8} + 525525 \, B a^{6} b^{4} d^{4} x e^{7} + 630630 \, A a^{5} b^{5} d^{4} x e^{7} + 25025 \, B a^{6} b^{4} d^{5} e^{6} + 30030 \, A a^{5} b^{5} d^{5} e^{6} + 273873600 \, B a^{7} b^{3} x^{4} e^{11} + 479278800 \, A a^{6} b^{4} x^{4} e^{11} + 60860800 \, B a^{7} b^{3} d x^{3} e^{10} + 106506400 \, A a^{6} b^{4} d x^{3} e^{10} + 9609600 \, B a^{7} b^{3} d^{2} x^{2} e^{9} + 16816800 \, A a^{6} b^{4} d^{2} x^{2} e^{9} + 960960 \, B a^{7} b^{3} d^{3} x e^{8} + 1681680 \, A a^{6} b^{4} d^{3} x e^{8} + 45760 \, B a^{7} b^{3} d^{4} e^{7} + 80080 \, A a^{6} b^{4} d^{4} e^{7} + 96996900 \, B a^{8} b^{2} x^{3} e^{11} + 258658400 \, A a^{7} b^{3} x^{3} e^{11} + 15315300 \, B a^{8} b^{2} d x^{2} e^{10} + 40840800 \, A a^{7} b^{3} d x^{2} e^{10} + 1531530 \, B a^{8} b^{2} d^{2} x e^{9} + 4084080 \, A a^{7} b^{3} d^{2} x e^{9} + 72930 \, B a^{8} b^{2} d^{3} e^{8} + 194480 \, A a^{7} b^{3} d^{3} e^{8} + 20420400 \, B a^{9} b x^{2} e^{11} + 91891800 \, A a^{8} b^{2} x^{2} e^{11} + 2042040 \, B a^{9} b d x e^{10} + 9189180 \, A a^{8} b^{2} d x e^{10} + 97240 \, B a^{9} b d^{2} e^{9} + 437580 \, A a^{8} b^{2} d^{2} e^{9} + 1939938 \, B a^{10} x e^{11} + 19399380 \, A a^{9} b x e^{11} + 92378 \, B a^{10} d e^{10} + 923780 \, A a^{9} b d e^{10} + 1847560 \, A a^{10} e^{11}\right)} e^{\left(-12\right)}}{38798760 \, {\left(x e + d\right)}^{21}}"," ",0,"-1/38798760*(3879876*B*b^10*x^11*e^11 + 3879876*B*b^10*d*x^10*e^10 + 3233230*B*b^10*d^2*x^9*e^9 + 2238390*B*b^10*d^3*x^8*e^8 + 1279080*B*b^10*d^4*x^7*e^7 + 596904*B*b^10*d^5*x^6*e^6 + 223839*B*b^10*d^6*x^5*e^5 + 65835*B*b^10*d^7*x^4*e^4 + 14630*B*b^10*d^8*x^3*e^3 + 2310*B*b^10*d^9*x^2*e^2 + 231*B*b^10*d^10*x*e + 11*B*b^10*d^11 + 35271600*B*a*b^9*x^10*e^11 + 3527160*A*b^10*x^10*e^11 + 29393000*B*a*b^9*d*x^9*e^10 + 2939300*A*b^10*d*x^9*e^10 + 20349000*B*a*b^9*d^2*x^8*e^9 + 2034900*A*b^10*d^2*x^8*e^9 + 11628000*B*a*b^9*d^3*x^7*e^8 + 1162800*A*b^10*d^3*x^7*e^8 + 5426400*B*a*b^9*d^4*x^6*e^7 + 542640*A*b^10*d^4*x^6*e^7 + 2034900*B*a*b^9*d^5*x^5*e^6 + 203490*A*b^10*d^5*x^5*e^6 + 598500*B*a*b^9*d^6*x^4*e^5 + 59850*A*b^10*d^6*x^4*e^5 + 133000*B*a*b^9*d^7*x^3*e^4 + 13300*A*b^10*d^7*x^3*e^4 + 21000*B*a*b^9*d^8*x^2*e^3 + 2100*A*b^10*d^8*x^2*e^3 + 2100*B*a*b^9*d^9*x*e^2 + 210*A*b^10*d^9*x*e^2 + 100*B*a*b^9*d^10*e + 10*A*b^10*d^10*e + 145495350*B*a^2*b^8*x^9*e^11 + 32332300*A*a*b^9*x^9*e^11 + 100727550*B*a^2*b^8*d*x^8*e^10 + 22383900*A*a*b^9*d*x^8*e^10 + 57558600*B*a^2*b^8*d^2*x^7*e^9 + 12790800*A*a*b^9*d^2*x^7*e^9 + 26860680*B*a^2*b^8*d^3*x^6*e^8 + 5969040*A*a*b^9*d^3*x^6*e^8 + 10072755*B*a^2*b^8*d^4*x^5*e^7 + 2238390*A*a*b^9*d^4*x^5*e^7 + 2962575*B*a^2*b^8*d^5*x^4*e^6 + 658350*A*a*b^9*d^5*x^4*e^6 + 658350*B*a^2*b^8*d^6*x^3*e^5 + 146300*A*a*b^9*d^6*x^3*e^5 + 103950*B*a^2*b^8*d^7*x^2*e^4 + 23100*A*a*b^9*d^7*x^2*e^4 + 10395*B*a^2*b^8*d^8*x*e^3 + 2310*A*a*b^9*d^8*x*e^3 + 495*B*a^2*b^8*d^9*e^2 + 110*A*a*b^9*d^9*e^2 + 358142400*B*a^3*b^7*x^8*e^11 + 134303400*A*a^2*b^8*x^8*e^11 + 204652800*B*a^3*b^7*d*x^7*e^10 + 76744800*A*a^2*b^8*d*x^7*e^10 + 95504640*B*a^3*b^7*d^2*x^6*e^9 + 35814240*A*a^2*b^8*d^2*x^6*e^9 + 35814240*B*a^3*b^7*d^3*x^5*e^8 + 13430340*A*a^2*b^8*d^3*x^5*e^8 + 10533600*B*a^3*b^7*d^4*x^4*e^7 + 3950100*A*a^2*b^8*d^4*x^4*e^7 + 2340800*B*a^3*b^7*d^5*x^3*e^6 + 877800*A*a^2*b^8*d^5*x^3*e^6 + 369600*B*a^3*b^7*d^6*x^2*e^5 + 138600*A*a^2*b^8*d^6*x^2*e^5 + 36960*B*a^3*b^7*d^7*x*e^4 + 13860*A*a^2*b^8*d^7*x*e^4 + 1760*B*a^3*b^7*d^8*e^3 + 660*A*a^2*b^8*d^8*e^3 + 581981400*B*a^4*b^6*x^7*e^11 + 332560800*A*a^3*b^7*x^7*e^11 + 271591320*B*a^4*b^6*d*x^6*e^10 + 155195040*A*a^3*b^7*d*x^6*e^10 + 101846745*B*a^4*b^6*d^2*x^5*e^9 + 58198140*A*a^3*b^7*d^2*x^5*e^9 + 29954925*B*a^4*b^6*d^3*x^4*e^8 + 17117100*A*a^3*b^7*d^3*x^4*e^8 + 6656650*B*a^4*b^6*d^4*x^3*e^7 + 3803800*A*a^3*b^7*d^4*x^3*e^7 + 1051050*B*a^4*b^6*d^5*x^2*e^6 + 600600*A*a^3*b^7*d^5*x^2*e^6 + 105105*B*a^4*b^6*d^6*x*e^5 + 60060*A*a^3*b^7*d^6*x*e^5 + 5005*B*a^4*b^6*d^7*e^4 + 2860*A*a^3*b^7*d^7*e^4 + 651819168*B*a^5*b^5*x^6*e^11 + 543182640*A*a^4*b^6*x^6*e^11 + 244432188*B*a^5*b^5*d*x^5*e^10 + 203693490*A*a^4*b^6*d*x^5*e^10 + 71891820*B*a^5*b^5*d^2*x^4*e^9 + 59909850*A*a^4*b^6*d^2*x^4*e^9 + 15975960*B*a^5*b^5*d^3*x^3*e^8 + 13313300*A*a^4*b^6*d^3*x^3*e^8 + 2522520*B*a^5*b^5*d^4*x^2*e^7 + 2102100*A*a^4*b^6*d^4*x^2*e^7 + 252252*B*a^5*b^5*d^5*x*e^6 + 210210*A*a^4*b^6*d^5*x*e^6 + 12012*B*a^5*b^5*d^6*e^5 + 10010*A*a^4*b^6*d^6*e^5 + 509233725*B*a^6*b^4*x^5*e^11 + 611080470*A*a^5*b^5*x^5*e^11 + 149774625*B*a^6*b^4*d*x^4*e^10 + 179729550*A*a^5*b^5*d*x^4*e^10 + 33283250*B*a^6*b^4*d^2*x^3*e^9 + 39939900*A*a^5*b^5*d^2*x^3*e^9 + 5255250*B*a^6*b^4*d^3*x^2*e^8 + 6306300*A*a^5*b^5*d^3*x^2*e^8 + 525525*B*a^6*b^4*d^4*x*e^7 + 630630*A*a^5*b^5*d^4*x*e^7 + 25025*B*a^6*b^4*d^5*e^6 + 30030*A*a^5*b^5*d^5*e^6 + 273873600*B*a^7*b^3*x^4*e^11 + 479278800*A*a^6*b^4*x^4*e^11 + 60860800*B*a^7*b^3*d*x^3*e^10 + 106506400*A*a^6*b^4*d*x^3*e^10 + 9609600*B*a^7*b^3*d^2*x^2*e^9 + 16816800*A*a^6*b^4*d^2*x^2*e^9 + 960960*B*a^7*b^3*d^3*x*e^8 + 1681680*A*a^6*b^4*d^3*x*e^8 + 45760*B*a^7*b^3*d^4*e^7 + 80080*A*a^6*b^4*d^4*e^7 + 96996900*B*a^8*b^2*x^3*e^11 + 258658400*A*a^7*b^3*x^3*e^11 + 15315300*B*a^8*b^2*d*x^2*e^10 + 40840800*A*a^7*b^3*d*x^2*e^10 + 1531530*B*a^8*b^2*d^2*x*e^9 + 4084080*A*a^7*b^3*d^2*x*e^9 + 72930*B*a^8*b^2*d^3*e^8 + 194480*A*a^7*b^3*d^3*e^8 + 20420400*B*a^9*b*x^2*e^11 + 91891800*A*a^8*b^2*x^2*e^11 + 2042040*B*a^9*b*d*x*e^10 + 9189180*A*a^8*b^2*d*x*e^10 + 97240*B*a^9*b*d^2*e^9 + 437580*A*a^8*b^2*d^2*e^9 + 1939938*B*a^10*x*e^11 + 19399380*A*a^9*b*x*e^11 + 92378*B*a^10*d*e^10 + 923780*A*a^9*b*d*e^10 + 1847560*A*a^10*e^11)*e^(-12)/(x*e + d)^21","B",0
1111,1,635,0,1.243292," ","integrate((B*x+A)*(e*x+d)^5/(b*x+a),x, algorithm=""giac"")","\frac{10 \, B b^{5} x^{6} e^{5} + 60 \, B b^{5} d x^{5} e^{4} + 150 \, B b^{5} d^{2} x^{4} e^{3} + 200 \, B b^{5} d^{3} x^{3} e^{2} + 150 \, B b^{5} d^{4} x^{2} e + 60 \, B b^{5} d^{5} x - 12 \, B a b^{4} x^{5} e^{5} + 12 \, A b^{5} x^{5} e^{5} - 75 \, B a b^{4} d x^{4} e^{4} + 75 \, A b^{5} d x^{4} e^{4} - 200 \, B a b^{4} d^{2} x^{3} e^{3} + 200 \, A b^{5} d^{2} x^{3} e^{3} - 300 \, B a b^{4} d^{3} x^{2} e^{2} + 300 \, A b^{5} d^{3} x^{2} e^{2} - 300 \, B a b^{4} d^{4} x e + 300 \, A b^{5} d^{4} x e + 15 \, B a^{2} b^{3} x^{4} e^{5} - 15 \, A a b^{4} x^{4} e^{5} + 100 \, B a^{2} b^{3} d x^{3} e^{4} - 100 \, A a b^{4} d x^{3} e^{4} + 300 \, B a^{2} b^{3} d^{2} x^{2} e^{3} - 300 \, A a b^{4} d^{2} x^{2} e^{3} + 600 \, B a^{2} b^{3} d^{3} x e^{2} - 600 \, A a b^{4} d^{3} x e^{2} - 20 \, B a^{3} b^{2} x^{3} e^{5} + 20 \, A a^{2} b^{3} x^{3} e^{5} - 150 \, B a^{3} b^{2} d x^{2} e^{4} + 150 \, A a^{2} b^{3} d x^{2} e^{4} - 600 \, B a^{3} b^{2} d^{2} x e^{3} + 600 \, A a^{2} b^{3} d^{2} x e^{3} + 30 \, B a^{4} b x^{2} e^{5} - 30 \, A a^{3} b^{2} x^{2} e^{5} + 300 \, B a^{4} b d x e^{4} - 300 \, A a^{3} b^{2} d x e^{4} - 60 \, B a^{5} x e^{5} + 60 \, A a^{4} b x e^{5}}{60 \, b^{6}} - \frac{{\left(B a b^{5} d^{5} - A b^{6} d^{5} - 5 \, B a^{2} b^{4} d^{4} e + 5 \, A a b^{5} d^{4} e + 10 \, B a^{3} b^{3} d^{3} e^{2} - 10 \, A a^{2} b^{4} d^{3} e^{2} - 10 \, B a^{4} b^{2} d^{2} e^{3} + 10 \, A a^{3} b^{3} d^{2} e^{3} + 5 \, B a^{5} b d e^{4} - 5 \, A a^{4} b^{2} d e^{4} - B a^{6} e^{5} + A a^{5} b e^{5}\right)} \log\left({\left| b x + a \right|}\right)}{b^{7}}"," ",0,"1/60*(10*B*b^5*x^6*e^5 + 60*B*b^5*d*x^5*e^4 + 150*B*b^5*d^2*x^4*e^3 + 200*B*b^5*d^3*x^3*e^2 + 150*B*b^5*d^4*x^2*e + 60*B*b^5*d^5*x - 12*B*a*b^4*x^5*e^5 + 12*A*b^5*x^5*e^5 - 75*B*a*b^4*d*x^4*e^4 + 75*A*b^5*d*x^4*e^4 - 200*B*a*b^4*d^2*x^3*e^3 + 200*A*b^5*d^2*x^3*e^3 - 300*B*a*b^4*d^3*x^2*e^2 + 300*A*b^5*d^3*x^2*e^2 - 300*B*a*b^4*d^4*x*e + 300*A*b^5*d^4*x*e + 15*B*a^2*b^3*x^4*e^5 - 15*A*a*b^4*x^4*e^5 + 100*B*a^2*b^3*d*x^3*e^4 - 100*A*a*b^4*d*x^3*e^4 + 300*B*a^2*b^3*d^2*x^2*e^3 - 300*A*a*b^4*d^2*x^2*e^3 + 600*B*a^2*b^3*d^3*x*e^2 - 600*A*a*b^4*d^3*x*e^2 - 20*B*a^3*b^2*x^3*e^5 + 20*A*a^2*b^3*x^3*e^5 - 150*B*a^3*b^2*d*x^2*e^4 + 150*A*a^2*b^3*d*x^2*e^4 - 600*B*a^3*b^2*d^2*x*e^3 + 600*A*a^2*b^3*d^2*x*e^3 + 30*B*a^4*b*x^2*e^5 - 30*A*a^3*b^2*x^2*e^5 + 300*B*a^4*b*d*x*e^4 - 300*A*a^3*b^2*d*x*e^4 - 60*B*a^5*x*e^5 + 60*A*a^4*b*x*e^5)/b^6 - (B*a*b^5*d^5 - A*b^6*d^5 - 5*B*a^2*b^4*d^4*e + 5*A*a*b^5*d^4*e + 10*B*a^3*b^3*d^3*e^2 - 10*A*a^2*b^4*d^3*e^2 - 10*B*a^4*b^2*d^2*e^3 + 10*A*a^3*b^3*d^2*e^3 + 5*B*a^5*b*d*e^4 - 5*A*a^4*b^2*d*e^4 - B*a^6*e^5 + A*a^5*b*e^5)*log(abs(b*x + a))/b^7","B",0
1112,1,444,0,1.327128," ","integrate((B*x+A)*(e*x+d)^4/(b*x+a),x, algorithm=""giac"")","\frac{12 \, B b^{4} x^{5} e^{4} + 60 \, B b^{4} d x^{4} e^{3} + 120 \, B b^{4} d^{2} x^{3} e^{2} + 120 \, B b^{4} d^{3} x^{2} e + 60 \, B b^{4} d^{4} x - 15 \, B a b^{3} x^{4} e^{4} + 15 \, A b^{4} x^{4} e^{4} - 80 \, B a b^{3} d x^{3} e^{3} + 80 \, A b^{4} d x^{3} e^{3} - 180 \, B a b^{3} d^{2} x^{2} e^{2} + 180 \, A b^{4} d^{2} x^{2} e^{2} - 240 \, B a b^{3} d^{3} x e + 240 \, A b^{4} d^{3} x e + 20 \, B a^{2} b^{2} x^{3} e^{4} - 20 \, A a b^{3} x^{3} e^{4} + 120 \, B a^{2} b^{2} d x^{2} e^{3} - 120 \, A a b^{3} d x^{2} e^{3} + 360 \, B a^{2} b^{2} d^{2} x e^{2} - 360 \, A a b^{3} d^{2} x e^{2} - 30 \, B a^{3} b x^{2} e^{4} + 30 \, A a^{2} b^{2} x^{2} e^{4} - 240 \, B a^{3} b d x e^{3} + 240 \, A a^{2} b^{2} d x e^{3} + 60 \, B a^{4} x e^{4} - 60 \, A a^{3} b x e^{4}}{60 \, b^{5}} - \frac{{\left(B a b^{4} d^{4} - A b^{5} d^{4} - 4 \, B a^{2} b^{3} d^{3} e + 4 \, A a b^{4} d^{3} e + 6 \, B a^{3} b^{2} d^{2} e^{2} - 6 \, A a^{2} b^{3} d^{2} e^{2} - 4 \, B a^{4} b d e^{3} + 4 \, A a^{3} b^{2} d e^{3} + B a^{5} e^{4} - A a^{4} b e^{4}\right)} \log\left({\left| b x + a \right|}\right)}{b^{6}}"," ",0,"1/60*(12*B*b^4*x^5*e^4 + 60*B*b^4*d*x^4*e^3 + 120*B*b^4*d^2*x^3*e^2 + 120*B*b^4*d^3*x^2*e + 60*B*b^4*d^4*x - 15*B*a*b^3*x^4*e^4 + 15*A*b^4*x^4*e^4 - 80*B*a*b^3*d*x^3*e^3 + 80*A*b^4*d*x^3*e^3 - 180*B*a*b^3*d^2*x^2*e^2 + 180*A*b^4*d^2*x^2*e^2 - 240*B*a*b^3*d^3*x*e + 240*A*b^4*d^3*x*e + 20*B*a^2*b^2*x^3*e^4 - 20*A*a*b^3*x^3*e^4 + 120*B*a^2*b^2*d*x^2*e^3 - 120*A*a*b^3*d*x^2*e^3 + 360*B*a^2*b^2*d^2*x*e^2 - 360*A*a*b^3*d^2*x*e^2 - 30*B*a^3*b*x^2*e^4 + 30*A*a^2*b^2*x^2*e^4 - 240*B*a^3*b*d*x*e^3 + 240*A*a^2*b^2*d*x*e^3 + 60*B*a^4*x*e^4 - 60*A*a^3*b*x*e^4)/b^5 - (B*a*b^4*d^4 - A*b^5*d^4 - 4*B*a^2*b^3*d^3*e + 4*A*a*b^4*d^3*e + 6*B*a^3*b^2*d^2*e^2 - 6*A*a^2*b^3*d^2*e^2 - 4*B*a^4*b*d*e^3 + 4*A*a^3*b^2*d*e^3 + B*a^5*e^4 - A*a^4*b*e^4)*log(abs(b*x + a))/b^6","B",0
1113,1,287,0,1.280271," ","integrate((B*x+A)*(e*x+d)^3/(b*x+a),x, algorithm=""giac"")","\frac{3 \, B b^{3} x^{4} e^{3} + 12 \, B b^{3} d x^{3} e^{2} + 18 \, B b^{3} d^{2} x^{2} e + 12 \, B b^{3} d^{3} x - 4 \, B a b^{2} x^{3} e^{3} + 4 \, A b^{3} x^{3} e^{3} - 18 \, B a b^{2} d x^{2} e^{2} + 18 \, A b^{3} d x^{2} e^{2} - 36 \, B a b^{2} d^{2} x e + 36 \, A b^{3} d^{2} x e + 6 \, B a^{2} b x^{2} e^{3} - 6 \, A a b^{2} x^{2} e^{3} + 36 \, B a^{2} b d x e^{2} - 36 \, A a b^{2} d x e^{2} - 12 \, B a^{3} x e^{3} + 12 \, A a^{2} b x e^{3}}{12 \, b^{4}} - \frac{{\left(B a b^{3} d^{3} - A b^{4} d^{3} - 3 \, B a^{2} b^{2} d^{2} e + 3 \, A a b^{3} d^{2} e + 3 \, B a^{3} b d e^{2} - 3 \, A a^{2} b^{2} d e^{2} - B a^{4} e^{3} + A a^{3} b e^{3}\right)} \log\left({\left| b x + a \right|}\right)}{b^{5}}"," ",0,"1/12*(3*B*b^3*x^4*e^3 + 12*B*b^3*d*x^3*e^2 + 18*B*b^3*d^2*x^2*e + 12*B*b^3*d^3*x - 4*B*a*b^2*x^3*e^3 + 4*A*b^3*x^3*e^3 - 18*B*a*b^2*d*x^2*e^2 + 18*A*b^3*d*x^2*e^2 - 36*B*a*b^2*d^2*x*e + 36*A*b^3*d^2*x*e + 6*B*a^2*b*x^2*e^3 - 6*A*a*b^2*x^2*e^3 + 36*B*a^2*b*d*x*e^2 - 36*A*a*b^2*d*x*e^2 - 12*B*a^3*x*e^3 + 12*A*a^2*b*x*e^3)/b^4 - (B*a*b^3*d^3 - A*b^4*d^3 - 3*B*a^2*b^2*d^2*e + 3*A*a*b^3*d^2*e + 3*B*a^3*b*d*e^2 - 3*A*a^2*b^2*d*e^2 - B*a^4*e^3 + A*a^3*b*e^3)*log(abs(b*x + a))/b^5","B",0
1114,1,164,0,1.235767," ","integrate((B*x+A)*(e*x+d)^2/(b*x+a),x, algorithm=""giac"")","\frac{2 \, B b^{2} x^{3} e^{2} + 6 \, B b^{2} d x^{2} e + 6 \, B b^{2} d^{2} x - 3 \, B a b x^{2} e^{2} + 3 \, A b^{2} x^{2} e^{2} - 12 \, B a b d x e + 12 \, A b^{2} d x e + 6 \, B a^{2} x e^{2} - 6 \, A a b x e^{2}}{6 \, b^{3}} - \frac{{\left(B a b^{2} d^{2} - A b^{3} d^{2} - 2 \, B a^{2} b d e + 2 \, A a b^{2} d e + B a^{3} e^{2} - A a^{2} b e^{2}\right)} \log\left({\left| b x + a \right|}\right)}{b^{4}}"," ",0,"1/6*(2*B*b^2*x^3*e^2 + 6*B*b^2*d*x^2*e + 6*B*b^2*d^2*x - 3*B*a*b*x^2*e^2 + 3*A*b^2*x^2*e^2 - 12*B*a*b*d*x*e + 12*A*b^2*d*x*e + 6*B*a^2*x*e^2 - 6*A*a*b*x*e^2)/b^3 - (B*a*b^2*d^2 - A*b^3*d^2 - 2*B*a^2*b*d*e + 2*A*a*b^2*d*e + B*a^3*e^2 - A*a^2*b*e^2)*log(abs(b*x + a))/b^4","A",0
1115,1,74,0,1.152711," ","integrate((B*x+A)*(e*x+d)/(b*x+a),x, algorithm=""giac"")","\frac{B b x^{2} e + 2 \, B b d x - 2 \, B a x e + 2 \, A b x e}{2 \, b^{2}} - \frac{{\left(B a b d - A b^{2} d - B a^{2} e + A a b e\right)} \log\left({\left| b x + a \right|}\right)}{b^{3}}"," ",0,"1/2*(B*b*x^2*e + 2*B*b*d*x - 2*B*a*x*e + 2*A*b*x*e)/b^2 - (B*a*b*d - A*b^2*d - B*a^2*e + A*a*b*e)*log(abs(b*x + a))/b^3","A",0
1116,1,27,0,1.164237," ","integrate((B*x+A)/(b*x+a),x, algorithm=""giac"")","\frac{B x}{b} - \frac{{\left(B a - A b\right)} \log\left({\left| b x + a \right|}\right)}{b^{2}}"," ",0,"B*x/b - (B*a - A*b)*log(abs(b*x + a))/b^2","A",0
1117,1,63,0,1.174613," ","integrate((B*x+A)/(b*x+a)/(e*x+d),x, algorithm=""giac"")","-\frac{{\left(B a - A b\right)} \log\left({\left| b x + a \right|}\right)}{b^{2} d - a b e} + \frac{{\left(B d - A e\right)} \log\left({\left| x e + d \right|}\right)}{b d e - a e^{2}}"," ",0,"-(B*a - A*b)*log(abs(b*x + a))/(b^2*d - a*b*e) + (B*d - A*e)*log(abs(x*e + d))/(b*d*e - a*e^2)","A",0
1118,1,108,0,1.394106," ","integrate((B*x+A)/(b*x+a)/(e*x+d)^2,x, algorithm=""giac"")","-\frac{{\left(B a e - A b e\right)} \log\left({\left| b - \frac{b d}{x e + d} + \frac{a e}{x e + d} \right|}\right)}{b^{2} d^{2} e - 2 \, a b d e^{2} + a^{2} e^{3}} - \frac{\frac{B d}{x e + d} - \frac{A e}{x e + d}}{b d e - a e^{2}}"," ",0,"-(B*a*e - A*b*e)*log(abs(b - b*d/(x*e + d) + a*e/(x*e + d)))/(b^2*d^2*e - 2*a*b*d*e^2 + a^2*e^3) - (B*d/(x*e + d) - A*e/(x*e + d))/(b*d*e - a*e^2)","A",0
1119,1,228,0,1.492152," ","integrate((B*x+A)/(b*x+a)/(e*x+d)^3,x, algorithm=""giac"")","-\frac{{\left(B a b^{2} - A b^{3}\right)} \log\left({\left| b x + a \right|}\right)}{b^{4} d^{3} - 3 \, a b^{3} d^{2} e + 3 \, a^{2} b^{2} d e^{2} - a^{3} b e^{3}} + \frac{{\left(B a b e - A b^{2} e\right)} \log\left({\left| x e + d \right|}\right)}{b^{3} d^{3} e - 3 \, a b^{2} d^{2} e^{2} + 3 \, a^{2} b d e^{3} - a^{3} e^{4}} - \frac{{\left(B b^{2} d^{3} - 3 \, A b^{2} d^{2} e - B a^{2} d e^{2} + 4 \, A a b d e^{2} - A a^{2} e^{3} + 2 \, {\left(B a b d e^{2} - A b^{2} d e^{2} - B a^{2} e^{3} + A a b e^{3}\right)} x\right)} e^{\left(-1\right)}}{2 \, {\left(b d - a e\right)}^{3} {\left(x e + d\right)}^{2}}"," ",0,"-(B*a*b^2 - A*b^3)*log(abs(b*x + a))/(b^4*d^3 - 3*a*b^3*d^2*e + 3*a^2*b^2*d*e^2 - a^3*b*e^3) + (B*a*b*e - A*b^2*e)*log(abs(x*e + d))/(b^3*d^3*e - 3*a*b^2*d^2*e^2 + 3*a^2*b*d*e^3 - a^3*e^4) - 1/2*(B*b^2*d^3 - 3*A*b^2*d^2*e - B*a^2*d*e^2 + 4*A*a*b*d*e^2 - A*a^2*e^3 + 2*(B*a*b*d*e^2 - A*b^2*d*e^2 - B*a^2*e^3 + A*a*b*e^3)*x)*e^(-1)/((b*d - a*e)^3*(x*e + d)^2)","B",0
1120,1,362,0,1.462918," ","integrate((B*x+A)/(b*x+a)/(e*x+d)^4,x, algorithm=""giac"")","-\frac{{\left(B a b^{3} - A b^{4}\right)} \log\left({\left| b x + a \right|}\right)}{b^{5} d^{4} - 4 \, a b^{4} d^{3} e + 6 \, a^{2} b^{3} d^{2} e^{2} - 4 \, a^{3} b^{2} d e^{3} + a^{4} b e^{4}} + \frac{{\left(B a b^{2} e - A b^{3} e\right)} \log\left({\left| x e + d \right|}\right)}{b^{4} d^{4} e - 4 \, a b^{3} d^{3} e^{2} + 6 \, a^{2} b^{2} d^{2} e^{3} - 4 \, a^{3} b d e^{4} + a^{4} e^{5}} - \frac{{\left(2 \, B b^{3} d^{4} + 3 \, B a b^{2} d^{3} e - 11 \, A b^{3} d^{3} e - 6 \, B a^{2} b d^{2} e^{2} + 18 \, A a b^{2} d^{2} e^{2} + B a^{3} d e^{3} - 9 \, A a^{2} b d e^{3} + 2 \, A a^{3} e^{4} + 6 \, {\left(B a b^{2} d e^{3} - A b^{3} d e^{3} - B a^{2} b e^{4} + A a b^{2} e^{4}\right)} x^{2} + 3 \, {\left(5 \, B a b^{2} d^{2} e^{2} - 5 \, A b^{3} d^{2} e^{2} - 6 \, B a^{2} b d e^{3} + 6 \, A a b^{2} d e^{3} + B a^{3} e^{4} - A a^{2} b e^{4}\right)} x\right)} e^{\left(-1\right)}}{6 \, {\left(b d - a e\right)}^{4} {\left(x e + d\right)}^{3}}"," ",0,"-(B*a*b^3 - A*b^4)*log(abs(b*x + a))/(b^5*d^4 - 4*a*b^4*d^3*e + 6*a^2*b^3*d^2*e^2 - 4*a^3*b^2*d*e^3 + a^4*b*e^4) + (B*a*b^2*e - A*b^3*e)*log(abs(x*e + d))/(b^4*d^4*e - 4*a*b^3*d^3*e^2 + 6*a^2*b^2*d^2*e^3 - 4*a^3*b*d*e^4 + a^4*e^5) - 1/6*(2*B*b^3*d^4 + 3*B*a*b^2*d^3*e - 11*A*b^3*d^3*e - 6*B*a^2*b*d^2*e^2 + 18*A*a*b^2*d^2*e^2 + B*a^3*d*e^3 - 9*A*a^2*b*d*e^3 + 2*A*a^3*e^4 + 6*(B*a*b^2*d*e^3 - A*b^3*d*e^3 - B*a^2*b*e^4 + A*a*b^2*e^4)*x^2 + 3*(5*B*a*b^2*d^2*e^2 - 5*A*b^3*d^2*e^2 - 6*B*a^2*b*d*e^3 + 6*A*a*b^2*d*e^3 + B*a^3*e^4 - A*a^2*b*e^4)*x)*e^(-1)/((b*d - a*e)^4*(x*e + d)^3)","B",0
1121,1,526,0,1.270910," ","integrate((B*x+A)/(b*x+a)/(e*x+d)^5,x, algorithm=""giac"")","-\frac{{\left(B a b^{3} e - A b^{4} e\right)} \log\left({\left| b - \frac{b d}{x e + d} + \frac{a e}{x e + d} \right|}\right)}{b^{5} d^{5} e - 5 \, a b^{4} d^{4} e^{2} + 10 \, a^{2} b^{3} d^{3} e^{3} - 10 \, a^{3} b^{2} d^{2} e^{4} + 5 \, a^{4} b d e^{5} - a^{5} e^{6}} - \frac{\frac{3 \, B b^{3} d^{4} e^{3}}{{\left(x e + d\right)}^{4}} + \frac{12 \, B a b^{2} e^{4}}{x e + d} - \frac{12 \, A b^{3} e^{4}}{x e + d} + \frac{6 \, B a b^{2} d e^{4}}{{\left(x e + d\right)}^{2}} - \frac{6 \, A b^{3} d e^{4}}{{\left(x e + d\right)}^{2}} + \frac{4 \, B a b^{2} d^{2} e^{4}}{{\left(x e + d\right)}^{3}} - \frac{4 \, A b^{3} d^{2} e^{4}}{{\left(x e + d\right)}^{3}} - \frac{9 \, B a b^{2} d^{3} e^{4}}{{\left(x e + d\right)}^{4}} - \frac{3 \, A b^{3} d^{3} e^{4}}{{\left(x e + d\right)}^{4}} - \frac{6 \, B a^{2} b e^{5}}{{\left(x e + d\right)}^{2}} + \frac{6 \, A a b^{2} e^{5}}{{\left(x e + d\right)}^{2}} - \frac{8 \, B a^{2} b d e^{5}}{{\left(x e + d\right)}^{3}} + \frac{8 \, A a b^{2} d e^{5}}{{\left(x e + d\right)}^{3}} + \frac{9 \, B a^{2} b d^{2} e^{5}}{{\left(x e + d\right)}^{4}} + \frac{9 \, A a b^{2} d^{2} e^{5}}{{\left(x e + d\right)}^{4}} + \frac{4 \, B a^{3} e^{6}}{{\left(x e + d\right)}^{3}} - \frac{4 \, A a^{2} b e^{6}}{{\left(x e + d\right)}^{3}} - \frac{3 \, B a^{3} d e^{6}}{{\left(x e + d\right)}^{4}} - \frac{9 \, A a^{2} b d e^{6}}{{\left(x e + d\right)}^{4}} + \frac{3 \, A a^{3} e^{7}}{{\left(x e + d\right)}^{4}}}{12 \, {\left(b^{4} d^{4} e^{4} - 4 \, a b^{3} d^{3} e^{5} + 6 \, a^{2} b^{2} d^{2} e^{6} - 4 \, a^{3} b d e^{7} + a^{4} e^{8}\right)}}"," ",0,"-(B*a*b^3*e - A*b^4*e)*log(abs(b - b*d/(x*e + d) + a*e/(x*e + d)))/(b^5*d^5*e - 5*a*b^4*d^4*e^2 + 10*a^2*b^3*d^3*e^3 - 10*a^3*b^2*d^2*e^4 + 5*a^4*b*d*e^5 - a^5*e^6) - 1/12*(3*B*b^3*d^4*e^3/(x*e + d)^4 + 12*B*a*b^2*e^4/(x*e + d) - 12*A*b^3*e^4/(x*e + d) + 6*B*a*b^2*d*e^4/(x*e + d)^2 - 6*A*b^3*d*e^4/(x*e + d)^2 + 4*B*a*b^2*d^2*e^4/(x*e + d)^3 - 4*A*b^3*d^2*e^4/(x*e + d)^3 - 9*B*a*b^2*d^3*e^4/(x*e + d)^4 - 3*A*b^3*d^3*e^4/(x*e + d)^4 - 6*B*a^2*b*e^5/(x*e + d)^2 + 6*A*a*b^2*e^5/(x*e + d)^2 - 8*B*a^2*b*d*e^5/(x*e + d)^3 + 8*A*a*b^2*d*e^5/(x*e + d)^3 + 9*B*a^2*b*d^2*e^5/(x*e + d)^4 + 9*A*a*b^2*d^2*e^5/(x*e + d)^4 + 4*B*a^3*e^6/(x*e + d)^3 - 4*A*a^2*b*e^6/(x*e + d)^3 - 3*B*a^3*d*e^6/(x*e + d)^4 - 9*A*a^2*b*d*e^6/(x*e + d)^4 + 3*A*a^3*e^7/(x*e + d)^4)/(b^4*d^4*e^4 - 4*a*b^3*d^3*e^5 + 6*a^2*b^2*d^2*e^6 - 4*a^3*b*d*e^7 + a^4*e^8)","B",0
1122,1,706,0,1.349142," ","integrate((B*x+A)*(e*x+d)^5/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{5} {\left(12 \, B e^{5} + \frac{15 \, {\left(5 \, B b^{2} d e^{4} - 6 \, B a b e^{5} + A b^{2} e^{5}\right)}}{{\left(b x + a\right)} b} + \frac{100 \, {\left(2 \, B b^{4} d^{2} e^{3} - 5 \, B a b^{3} d e^{4} + A b^{4} d e^{4} + 3 \, B a^{2} b^{2} e^{5} - A a b^{3} e^{5}\right)}}{{\left(b x + a\right)}^{2} b^{2}} + \frac{300 \, {\left(B b^{6} d^{3} e^{2} - 4 \, B a b^{5} d^{2} e^{3} + A b^{6} d^{2} e^{3} + 5 \, B a^{2} b^{4} d e^{4} - 2 \, A a b^{5} d e^{4} - 2 \, B a^{3} b^{3} e^{5} + A a^{2} b^{4} e^{5}\right)}}{{\left(b x + a\right)}^{3} b^{3}} + \frac{300 \, {\left(B b^{8} d^{4} e - 6 \, B a b^{7} d^{3} e^{2} + 2 \, A b^{8} d^{3} e^{2} + 12 \, B a^{2} b^{6} d^{2} e^{3} - 6 \, A a b^{7} d^{2} e^{3} - 10 \, B a^{3} b^{5} d e^{4} + 6 \, A a^{2} b^{6} d e^{4} + 3 \, B a^{4} b^{4} e^{5} - 2 \, A a^{3} b^{5} e^{5}\right)}}{{\left(b x + a\right)}^{4} b^{4}}\right)}}{60 \, b^{7}} - \frac{{\left(B b^{5} d^{5} - 10 \, B a b^{4} d^{4} e + 5 \, A b^{5} d^{4} e + 30 \, B a^{2} b^{3} d^{3} e^{2} - 20 \, A a b^{4} d^{3} e^{2} - 40 \, B a^{3} b^{2} d^{2} e^{3} + 30 \, A a^{2} b^{3} d^{2} e^{3} + 25 \, B a^{4} b d e^{4} - 20 \, A a^{3} b^{2} d e^{4} - 6 \, B a^{5} e^{5} + 5 \, A a^{4} b e^{5}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{7}} + \frac{\frac{B a b^{10} d^{5}}{b x + a} - \frac{A b^{11} d^{5}}{b x + a} - \frac{5 \, B a^{2} b^{9} d^{4} e}{b x + a} + \frac{5 \, A a b^{10} d^{4} e}{b x + a} + \frac{10 \, B a^{3} b^{8} d^{3} e^{2}}{b x + a} - \frac{10 \, A a^{2} b^{9} d^{3} e^{2}}{b x + a} - \frac{10 \, B a^{4} b^{7} d^{2} e^{3}}{b x + a} + \frac{10 \, A a^{3} b^{8} d^{2} e^{3}}{b x + a} + \frac{5 \, B a^{5} b^{6} d e^{4}}{b x + a} - \frac{5 \, A a^{4} b^{7} d e^{4}}{b x + a} - \frac{B a^{6} b^{5} e^{5}}{b x + a} + \frac{A a^{5} b^{6} e^{5}}{b x + a}}{b^{12}}"," ",0,"1/60*(b*x + a)^5*(12*B*e^5 + 15*(5*B*b^2*d*e^4 - 6*B*a*b*e^5 + A*b^2*e^5)/((b*x + a)*b) + 100*(2*B*b^4*d^2*e^3 - 5*B*a*b^3*d*e^4 + A*b^4*d*e^4 + 3*B*a^2*b^2*e^5 - A*a*b^3*e^5)/((b*x + a)^2*b^2) + 300*(B*b^6*d^3*e^2 - 4*B*a*b^5*d^2*e^3 + A*b^6*d^2*e^3 + 5*B*a^2*b^4*d*e^4 - 2*A*a*b^5*d*e^4 - 2*B*a^3*b^3*e^5 + A*a^2*b^4*e^5)/((b*x + a)^3*b^3) + 300*(B*b^8*d^4*e - 6*B*a*b^7*d^3*e^2 + 2*A*b^8*d^3*e^2 + 12*B*a^2*b^6*d^2*e^3 - 6*A*a*b^7*d^2*e^3 - 10*B*a^3*b^5*d*e^4 + 6*A*a^2*b^6*d*e^4 + 3*B*a^4*b^4*e^5 - 2*A*a^3*b^5*e^5)/((b*x + a)^4*b^4))/b^7 - (B*b^5*d^5 - 10*B*a*b^4*d^4*e + 5*A*b^5*d^4*e + 30*B*a^2*b^3*d^3*e^2 - 20*A*a*b^4*d^3*e^2 - 40*B*a^3*b^2*d^2*e^3 + 30*A*a^2*b^3*d^2*e^3 + 25*B*a^4*b*d*e^4 - 20*A*a^3*b^2*d*e^4 - 6*B*a^5*e^5 + 5*A*a^4*b*e^5)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^7 + (B*a*b^10*d^5/(b*x + a) - A*b^11*d^5/(b*x + a) - 5*B*a^2*b^9*d^4*e/(b*x + a) + 5*A*a*b^10*d^4*e/(b*x + a) + 10*B*a^3*b^8*d^3*e^2/(b*x + a) - 10*A*a^2*b^9*d^3*e^2/(b*x + a) - 10*B*a^4*b^7*d^2*e^3/(b*x + a) + 10*A*a^3*b^8*d^2*e^3/(b*x + a) + 5*B*a^5*b^6*d*e^4/(b*x + a) - 5*A*a^4*b^7*d*e^4/(b*x + a) - B*a^6*b^5*e^5/(b*x + a) + A*a^5*b^6*e^5/(b*x + a))/b^12","B",0
1123,1,522,0,1.225418," ","integrate((B*x+A)*(e*x+d)^4/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{4} {\left(3 \, B e^{4} + \frac{4 \, {\left(4 \, B b^{2} d e^{3} - 5 \, B a b e^{4} + A b^{2} e^{4}\right)}}{{\left(b x + a\right)} b} + \frac{12 \, {\left(3 \, B b^{4} d^{2} e^{2} - 8 \, B a b^{3} d e^{3} + 2 \, A b^{4} d e^{3} + 5 \, B a^{2} b^{2} e^{4} - 2 \, A a b^{3} e^{4}\right)}}{{\left(b x + a\right)}^{2} b^{2}} + \frac{24 \, {\left(2 \, B b^{6} d^{3} e - 9 \, B a b^{5} d^{2} e^{2} + 3 \, A b^{6} d^{2} e^{2} + 12 \, B a^{2} b^{4} d e^{3} - 6 \, A a b^{5} d e^{3} - 5 \, B a^{3} b^{3} e^{4} + 3 \, A a^{2} b^{4} e^{4}\right)}}{{\left(b x + a\right)}^{3} b^{3}}\right)}}{12 \, b^{6}} - \frac{{\left(B b^{4} d^{4} - 8 \, B a b^{3} d^{3} e + 4 \, A b^{4} d^{3} e + 18 \, B a^{2} b^{2} d^{2} e^{2} - 12 \, A a b^{3} d^{2} e^{2} - 16 \, B a^{3} b d e^{3} + 12 \, A a^{2} b^{2} d e^{3} + 5 \, B a^{4} e^{4} - 4 \, A a^{3} b e^{4}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{6}} + \frac{\frac{B a b^{8} d^{4}}{b x + a} - \frac{A b^{9} d^{4}}{b x + a} - \frac{4 \, B a^{2} b^{7} d^{3} e}{b x + a} + \frac{4 \, A a b^{8} d^{3} e}{b x + a} + \frac{6 \, B a^{3} b^{6} d^{2} e^{2}}{b x + a} - \frac{6 \, A a^{2} b^{7} d^{2} e^{2}}{b x + a} - \frac{4 \, B a^{4} b^{5} d e^{3}}{b x + a} + \frac{4 \, A a^{3} b^{6} d e^{3}}{b x + a} + \frac{B a^{5} b^{4} e^{4}}{b x + a} - \frac{A a^{4} b^{5} e^{4}}{b x + a}}{b^{10}}"," ",0,"1/12*(b*x + a)^4*(3*B*e^4 + 4*(4*B*b^2*d*e^3 - 5*B*a*b*e^4 + A*b^2*e^4)/((b*x + a)*b) + 12*(3*B*b^4*d^2*e^2 - 8*B*a*b^3*d*e^3 + 2*A*b^4*d*e^3 + 5*B*a^2*b^2*e^4 - 2*A*a*b^3*e^4)/((b*x + a)^2*b^2) + 24*(2*B*b^6*d^3*e - 9*B*a*b^5*d^2*e^2 + 3*A*b^6*d^2*e^2 + 12*B*a^2*b^4*d*e^3 - 6*A*a*b^5*d*e^3 - 5*B*a^3*b^3*e^4 + 3*A*a^2*b^4*e^4)/((b*x + a)^3*b^3))/b^6 - (B*b^4*d^4 - 8*B*a*b^3*d^3*e + 4*A*b^4*d^3*e + 18*B*a^2*b^2*d^2*e^2 - 12*A*a*b^3*d^2*e^2 - 16*B*a^3*b*d*e^3 + 12*A*a^2*b^2*d*e^3 + 5*B*a^4*e^4 - 4*A*a^3*b*e^4)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^6 + (B*a*b^8*d^4/(b*x + a) - A*b^9*d^4/(b*x + a) - 4*B*a^2*b^7*d^3*e/(b*x + a) + 4*A*a*b^8*d^3*e/(b*x + a) + 6*B*a^3*b^6*d^2*e^2/(b*x + a) - 6*A*a^2*b^7*d^2*e^2/(b*x + a) - 4*B*a^4*b^5*d*e^3/(b*x + a) + 4*A*a^3*b^6*d*e^3/(b*x + a) + B*a^5*b^4*e^4/(b*x + a) - A*a^4*b^5*e^4/(b*x + a))/b^10","B",0
1124,1,359,0,1.243660," ","integrate((B*x+A)*(e*x+d)^3/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{3} {\left(2 \, B e^{3} + \frac{3 \, {\left(3 \, B b^{2} d e^{2} - 4 \, B a b e^{3} + A b^{2} e^{3}\right)}}{{\left(b x + a\right)} b} + \frac{18 \, {\left(B b^{4} d^{2} e - 3 \, B a b^{3} d e^{2} + A b^{4} d e^{2} + 2 \, B a^{2} b^{2} e^{3} - A a b^{3} e^{3}\right)}}{{\left(b x + a\right)}^{2} b^{2}}\right)}}{6 \, b^{5}} - \frac{{\left(B b^{3} d^{3} - 6 \, B a b^{2} d^{2} e + 3 \, A b^{3} d^{2} e + 9 \, B a^{2} b d e^{2} - 6 \, A a b^{2} d e^{2} - 4 \, B a^{3} e^{3} + 3 \, A a^{2} b e^{3}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{5}} + \frac{\frac{B a b^{6} d^{3}}{b x + a} - \frac{A b^{7} d^{3}}{b x + a} - \frac{3 \, B a^{2} b^{5} d^{2} e}{b x + a} + \frac{3 \, A a b^{6} d^{2} e}{b x + a} + \frac{3 \, B a^{3} b^{4} d e^{2}}{b x + a} - \frac{3 \, A a^{2} b^{5} d e^{2}}{b x + a} - \frac{B a^{4} b^{3} e^{3}}{b x + a} + \frac{A a^{3} b^{4} e^{3}}{b x + a}}{b^{8}}"," ",0,"1/6*(b*x + a)^3*(2*B*e^3 + 3*(3*B*b^2*d*e^2 - 4*B*a*b*e^3 + A*b^2*e^3)/((b*x + a)*b) + 18*(B*b^4*d^2*e - 3*B*a*b^3*d*e^2 + A*b^4*d*e^2 + 2*B*a^2*b^2*e^3 - A*a*b^3*e^3)/((b*x + a)^2*b^2))/b^5 - (B*b^3*d^3 - 6*B*a*b^2*d^2*e + 3*A*b^3*d^2*e + 9*B*a^2*b*d*e^2 - 6*A*a*b^2*d*e^2 - 4*B*a^3*e^3 + 3*A*a^2*b*e^3)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^5 + (B*a*b^6*d^3/(b*x + a) - A*b^7*d^3/(b*x + a) - 3*B*a^2*b^5*d^2*e/(b*x + a) + 3*A*a*b^6*d^2*e/(b*x + a) + 3*B*a^3*b^4*d*e^2/(b*x + a) - 3*A*a^2*b^5*d*e^2/(b*x + a) - B*a^4*b^3*e^3/(b*x + a) + A*a^3*b^4*e^3/(b*x + a))/b^8","B",0
1125,1,227,0,1.142203," ","integrate((B*x+A)*(e*x+d)^2/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{2} {\left(B e^{2} + \frac{2 \, {\left(2 \, B b^{2} d e - 3 \, B a b e^{2} + A b^{2} e^{2}\right)}}{{\left(b x + a\right)} b}\right)}}{2 \, b^{4}} - \frac{{\left(B b^{2} d^{2} - 4 \, B a b d e + 2 \, A b^{2} d e + 3 \, B a^{2} e^{2} - 2 \, A a b e^{2}\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{4}} + \frac{\frac{B a b^{4} d^{2}}{b x + a} - \frac{A b^{5} d^{2}}{b x + a} - \frac{2 \, B a^{2} b^{3} d e}{b x + a} + \frac{2 \, A a b^{4} d e}{b x + a} + \frac{B a^{3} b^{2} e^{2}}{b x + a} - \frac{A a^{2} b^{3} e^{2}}{b x + a}}{b^{6}}"," ",0,"1/2*(b*x + a)^2*(B*e^2 + 2*(2*B*b^2*d*e - 3*B*a*b*e^2 + A*b^2*e^2)/((b*x + a)*b))/b^4 - (B*b^2*d^2 - 4*B*a*b*d*e + 2*A*b^2*d*e + 3*B*a^2*e^2 - 2*A*a*b*e^2)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^4 + (B*a*b^4*d^2/(b*x + a) - A*b^5*d^2/(b*x + a) - 2*B*a^2*b^3*d*e/(b*x + a) + 2*A*a*b^4*d*e/(b*x + a) + B*a^3*b^2*e^2/(b*x + a) - A*a^2*b^3*e^2/(b*x + a))/b^6","B",0
1126,1,117,0,1.201479," ","integrate((B*x+A)*(e*x+d)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)} B e}{b^{3}} - \frac{{\left(B b d - 2 \, B a e + A b e\right)} \log\left(\frac{{\left| b x + a \right|}}{{\left(b x + a\right)}^{2} {\left| b \right|}}\right)}{b^{3}} + \frac{\frac{B a b^{2} d}{b x + a} - \frac{A b^{3} d}{b x + a} - \frac{B a^{2} b e}{b x + a} + \frac{A a b^{2} e}{b x + a}}{b^{4}}"," ",0,"(b*x + a)*B*e/b^3 - (B*b*d - 2*B*a*e + A*b*e)*log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b^3 + (B*a*b^2*d/(b*x + a) - A*b^3*d/(b*x + a) - B*a^2*b*e/(b*x + a) + A*a*b^2*e/(b*x + a))/b^4","A",0
1127,1,57,0,1.150231," ","integrate((B*x+A)/(b*x+a)^2,x, algorithm=""giac"")","-\frac{B {\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{A}{{\left(b x + a\right)} b}"," ",0,"-B*(log(abs(b*x + a)/((b*x + a)^2*abs(b)))/b - a/((b*x + a)*b))/b - A/((b*x + a)*b)","A",0
1128,1,104,0,1.242153," ","integrate((B*x+A)/(b*x+a)^2/(e*x+d),x, algorithm=""giac"")","-\frac{{\left(B b d - A b e\right)} \log\left({\left| \frac{b d}{b x + a} - \frac{a e}{b x + a} + e \right|}\right)}{b^{3} d^{2} - 2 \, a b^{2} d e + a^{2} b e^{2}} + \frac{\frac{B a}{b x + a} - \frac{A b}{b x + a}}{b^{2} d - a b e}"," ",0,"-(B*b*d - A*b*e)*log(abs(b*d/(b*x + a) - a*e/(b*x + a) + e))/(b^3*d^2 - 2*a*b^2*d*e + a^2*b*e^2) + (B*a/(b*x + a) - A*b/(b*x + a))/(b^2*d - a*b*e)","A",0
1129,1,200,0,1.201781," ","integrate((B*x+A)/(b*x+a)^2/(e*x+d)^2,x, algorithm=""giac"")","-\frac{{\left(B b^{2} d + B a b e - 2 \, A b^{2} e\right)} \log\left({\left| \frac{b d}{b x + a} - \frac{a e}{b x + a} + e \right|}\right)}{b^{4} d^{3} - 3 \, a b^{3} d^{2} e + 3 \, a^{2} b^{2} d e^{2} - a^{3} b e^{3}} + \frac{\frac{B a b^{2}}{b x + a} - \frac{A b^{3}}{b x + a}}{b^{4} d^{2} - 2 \, a b^{3} d e + a^{2} b^{2} e^{2}} - \frac{B b d e - A b e^{2}}{{\left(b d - a e\right)}^{3} {\left(\frac{b d}{b x + a} - \frac{a e}{b x + a} + e\right)}}"," ",0,"-(B*b^2*d + B*a*b*e - 2*A*b^2*e)*log(abs(b*d/(b*x + a) - a*e/(b*x + a) + e))/(b^4*d^3 - 3*a*b^3*d^2*e + 3*a^2*b^2*d*e^2 - a^3*b*e^3) + (B*a*b^2/(b*x + a) - A*b^3/(b*x + a))/(b^4*d^2 - 2*a*b^3*d*e + a^2*b^2*e^2) - (B*b*d*e - A*b*e^2)/((b*d - a*e)^3*(b*d/(b*x + a) - a*e/(b*x + a) + e))","A",0
1130,1,304,0,1.281181," ","integrate((B*x+A)/(b*x+a)^2/(e*x+d)^3,x, algorithm=""giac"")","-\frac{{\left(B b^{3} d + 2 \, B a b^{2} e - 3 \, A b^{3} e\right)} \log\left({\left| \frac{b d}{b x + a} - \frac{a e}{b x + a} + e \right|}\right)}{b^{5} d^{4} - 4 \, a b^{4} d^{3} e + 6 \, a^{2} b^{3} d^{2} e^{2} - 4 \, a^{3} b^{2} d e^{3} + a^{4} b e^{4}} + \frac{\frac{B a b^{4}}{b x + a} - \frac{A b^{5}}{b x + a}}{b^{6} d^{3} - 3 \, a b^{5} d^{2} e + 3 \, a^{2} b^{4} d e^{2} - a^{3} b^{3} e^{3}} - \frac{3 \, B b^{2} d e^{2} + 2 \, B a b e^{3} - 5 \, A b^{2} e^{3} + \frac{2 \, {\left(2 \, B b^{4} d^{2} e - B a b^{3} d e^{2} - 3 \, A b^{4} d e^{2} - B a^{2} b^{2} e^{3} + 3 \, A a b^{3} e^{3}\right)}}{{\left(b x + a\right)} b}}{2 \, {\left(b d - a e\right)}^{4} {\left(\frac{b d}{b x + a} - \frac{a e}{b x + a} + e\right)}^{2}}"," ",0,"-(B*b^3*d + 2*B*a*b^2*e - 3*A*b^3*e)*log(abs(b*d/(b*x + a) - a*e/(b*x + a) + e))/(b^5*d^4 - 4*a*b^4*d^3*e + 6*a^2*b^3*d^2*e^2 - 4*a^3*b^2*d*e^3 + a^4*b*e^4) + (B*a*b^4/(b*x + a) - A*b^5/(b*x + a))/(b^6*d^3 - 3*a*b^5*d^2*e + 3*a^2*b^4*d*e^2 - a^3*b^3*e^3) - 1/2*(3*B*b^2*d*e^2 + 2*B*a*b*e^3 - 5*A*b^2*e^3 + 2*(2*B*b^4*d^2*e - B*a*b^3*d*e^2 - 3*A*b^4*d*e^2 - B*a^2*b^2*e^3 + 3*A*a*b^3*e^3)/((b*x + a)*b))/((b*d - a*e)^4*(b*d/(b*x + a) - a*e/(b*x + a) + e)^2)","A",0
1131,1,421,0,1.317723," ","integrate((B*x+A)/(b*x+a)^2/(e*x+d)^4,x, algorithm=""giac"")","-\frac{{\left(B b^{4} d + 3 \, B a b^{3} e - 4 \, A b^{4} e\right)} \log\left({\left| \frac{b d}{b x + a} - \frac{a e}{b x + a} + e \right|}\right)}{b^{6} d^{5} - 5 \, a b^{5} d^{4} e + 10 \, a^{2} b^{4} d^{3} e^{2} - 10 \, a^{3} b^{3} d^{2} e^{3} + 5 \, a^{4} b^{2} d e^{4} - a^{5} b e^{5}} + \frac{\frac{B a b^{6}}{b x + a} - \frac{A b^{7}}{b x + a}}{b^{8} d^{4} - 4 \, a b^{7} d^{3} e + 6 \, a^{2} b^{6} d^{2} e^{2} - 4 \, a^{3} b^{5} d e^{3} + a^{4} b^{4} e^{4}} - \frac{11 \, B b^{3} d e^{3} + 15 \, B a b^{2} e^{4} - 26 \, A b^{3} e^{4} + \frac{3 \, {\left(9 \, B b^{5} d^{2} e^{2} + 2 \, B a b^{4} d e^{3} - 20 \, A b^{5} d e^{3} - 11 \, B a^{2} b^{3} e^{4} + 20 \, A a b^{4} e^{4}\right)}}{{\left(b x + a\right)} b} + \frac{18 \, {\left(B b^{7} d^{3} e - B a b^{6} d^{2} e^{2} - 2 \, A b^{7} d^{2} e^{2} - B a^{2} b^{5} d e^{3} + 4 \, A a b^{6} d e^{3} + B a^{3} b^{4} e^{4} - 2 \, A a^{2} b^{5} e^{4}\right)}}{{\left(b x + a\right)}^{2} b^{2}}}{6 \, {\left(b d - a e\right)}^{5} {\left(\frac{b d}{b x + a} - \frac{a e}{b x + a} + e\right)}^{3}}"," ",0,"-(B*b^4*d + 3*B*a*b^3*e - 4*A*b^4*e)*log(abs(b*d/(b*x + a) - a*e/(b*x + a) + e))/(b^6*d^5 - 5*a*b^5*d^4*e + 10*a^2*b^4*d^3*e^2 - 10*a^3*b^3*d^2*e^3 + 5*a^4*b^2*d*e^4 - a^5*b*e^5) + (B*a*b^6/(b*x + a) - A*b^7/(b*x + a))/(b^8*d^4 - 4*a*b^7*d^3*e + 6*a^2*b^6*d^2*e^2 - 4*a^3*b^5*d*e^3 + a^4*b^4*e^4) - 1/6*(11*B*b^3*d*e^3 + 15*B*a*b^2*e^4 - 26*A*b^3*e^4 + 3*(9*B*b^5*d^2*e^2 + 2*B*a*b^4*d*e^3 - 20*A*b^5*d*e^3 - 11*B*a^2*b^3*e^4 + 20*A*a*b^4*e^4)/((b*x + a)*b) + 18*(B*b^7*d^3*e - B*a*b^6*d^2*e^2 - 2*A*b^7*d^2*e^2 - B*a^2*b^5*d*e^3 + 4*A*a*b^6*d*e^3 + B*a^3*b^4*e^4 - 2*A*a^2*b^5*e^4)/((b*x + a)^2*b^2))/((b*d - a*e)^5*(b*d/(b*x + a) - a*e/(b*x + a) + e)^3)","B",0
1132,1,568,0,1.427990," ","integrate((B*x+A)/(b*x+a)^2/(e*x+d)^5,x, algorithm=""giac"")","-\frac{{\left(B b^{5} d + 4 \, B a b^{4} e - 5 \, A b^{5} e\right)} \log\left({\left| \frac{b d}{b x + a} - \frac{a e}{b x + a} + e \right|}\right)}{b^{7} d^{6} - 6 \, a b^{6} d^{5} e + 15 \, a^{2} b^{5} d^{4} e^{2} - 20 \, a^{3} b^{4} d^{3} e^{3} + 15 \, a^{4} b^{3} d^{2} e^{4} - 6 \, a^{5} b^{2} d e^{5} + a^{6} b e^{6}} + \frac{\frac{B a b^{8}}{b x + a} - \frac{A b^{9}}{b x + a}}{b^{10} d^{5} - 5 \, a b^{9} d^{4} e + 10 \, a^{2} b^{8} d^{3} e^{2} - 10 \, a^{3} b^{7} d^{2} e^{3} + 5 \, a^{4} b^{6} d e^{4} - a^{5} b^{5} e^{5}} - \frac{25 \, B b^{4} d e^{4} + 52 \, B a b^{3} e^{5} - 77 \, A b^{4} e^{5} + \frac{4 \, {\left(22 \, B b^{6} d^{2} e^{3} + 21 \, B a b^{5} d e^{4} - 65 \, A b^{6} d e^{4} - 43 \, B a^{2} b^{4} e^{5} + 65 \, A a b^{5} e^{5}\right)}}{{\left(b x + a\right)} b} + \frac{12 \, {\left(9 \, B b^{8} d^{3} e^{2} - 2 \, B a b^{7} d^{2} e^{3} - 25 \, A b^{8} d^{2} e^{3} - 23 \, B a^{2} b^{6} d e^{4} + 50 \, A a b^{7} d e^{4} + 16 \, B a^{3} b^{5} e^{5} - 25 \, A a^{2} b^{6} e^{5}\right)}}{{\left(b x + a\right)}^{2} b^{2}} + \frac{24 \, {\left(2 \, B b^{10} d^{4} e - 3 \, B a b^{9} d^{3} e^{2} - 5 \, A b^{10} d^{3} e^{2} - 3 \, B a^{2} b^{8} d^{2} e^{3} + 15 \, A a b^{9} d^{2} e^{3} + 7 \, B a^{3} b^{7} d e^{4} - 15 \, A a^{2} b^{8} d e^{4} - 3 \, B a^{4} b^{6} e^{5} + 5 \, A a^{3} b^{7} e^{5}\right)}}{{\left(b x + a\right)}^{3} b^{3}}}{12 \, {\left(b d - a e\right)}^{6} {\left(\frac{b d}{b x + a} - \frac{a e}{b x + a} + e\right)}^{4}}"," ",0,"-(B*b^5*d + 4*B*a*b^4*e - 5*A*b^5*e)*log(abs(b*d/(b*x + a) - a*e/(b*x + a) + e))/(b^7*d^6 - 6*a*b^6*d^5*e + 15*a^2*b^5*d^4*e^2 - 20*a^3*b^4*d^3*e^3 + 15*a^4*b^3*d^2*e^4 - 6*a^5*b^2*d*e^5 + a^6*b*e^6) + (B*a*b^8/(b*x + a) - A*b^9/(b*x + a))/(b^10*d^5 - 5*a*b^9*d^4*e + 10*a^2*b^8*d^3*e^2 - 10*a^3*b^7*d^2*e^3 + 5*a^4*b^6*d*e^4 - a^5*b^5*e^5) - 1/12*(25*B*b^4*d*e^4 + 52*B*a*b^3*e^5 - 77*A*b^4*e^5 + 4*(22*B*b^6*d^2*e^3 + 21*B*a*b^5*d*e^4 - 65*A*b^6*d*e^4 - 43*B*a^2*b^4*e^5 + 65*A*a*b^5*e^5)/((b*x + a)*b) + 12*(9*B*b^8*d^3*e^2 - 2*B*a*b^7*d^2*e^3 - 25*A*b^8*d^2*e^3 - 23*B*a^2*b^6*d*e^4 + 50*A*a*b^7*d*e^4 + 16*B*a^3*b^5*e^5 - 25*A*a^2*b^6*e^5)/((b*x + a)^2*b^2) + 24*(2*B*b^10*d^4*e - 3*B*a*b^9*d^3*e^2 - 5*A*b^10*d^3*e^2 - 3*B*a^2*b^8*d^2*e^3 + 15*A*a*b^9*d^2*e^3 + 7*B*a^3*b^7*d*e^4 - 15*A*a^2*b^8*d*e^4 - 3*B*a^4*b^6*e^5 + 5*A*a^3*b^7*e^5)/((b*x + a)^3*b^3))/((b*d - a*e)^6*(b*d/(b*x + a) - a*e/(b*x + a) + e)^4)","B",0
1133,1,598,0,1.213713," ","integrate((B*x+A)*(e*x+d)^5/(b*x+a)^3,x, algorithm=""giac"")","\frac{5 \, {\left(B b^{4} d^{4} e - 6 \, B a b^{3} d^{3} e^{2} + 2 \, A b^{4} d^{3} e^{2} + 12 \, B a^{2} b^{2} d^{2} e^{3} - 6 \, A a b^{3} d^{2} e^{3} - 10 \, B a^{3} b d e^{4} + 6 \, A a^{2} b^{2} d e^{4} + 3 \, B a^{4} e^{5} - 2 \, A a^{3} b e^{5}\right)} \log\left({\left| b x + a \right|}\right)}{b^{7}} - \frac{B a b^{5} d^{5} + A b^{6} d^{5} - 15 \, B a^{2} b^{4} d^{4} e + 5 \, A a b^{5} d^{4} e + 50 \, B a^{3} b^{3} d^{3} e^{2} - 30 \, A a^{2} b^{4} d^{3} e^{2} - 70 \, B a^{4} b^{2} d^{2} e^{3} + 50 \, A a^{3} b^{3} d^{2} e^{3} + 45 \, B a^{5} b d e^{4} - 35 \, A a^{4} b^{2} d e^{4} - 11 \, B a^{6} e^{5} + 9 \, A a^{5} b e^{5} + 2 \, {\left(B b^{6} d^{5} - 10 \, B a b^{5} d^{4} e + 5 \, A b^{6} d^{4} e + 30 \, B a^{2} b^{4} d^{3} e^{2} - 20 \, A a b^{5} d^{3} e^{2} - 40 \, B a^{3} b^{3} d^{2} e^{3} + 30 \, A a^{2} b^{4} d^{2} e^{3} + 25 \, B a^{4} b^{2} d e^{4} - 20 \, A a^{3} b^{3} d e^{4} - 6 \, B a^{5} b e^{5} + 5 \, A a^{4} b^{2} e^{5}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{7}} + \frac{3 \, B b^{9} x^{4} e^{5} + 20 \, B b^{9} d x^{3} e^{4} + 60 \, B b^{9} d^{2} x^{2} e^{3} + 120 \, B b^{9} d^{3} x e^{2} - 12 \, B a b^{8} x^{3} e^{5} + 4 \, A b^{9} x^{3} e^{5} - 90 \, B a b^{8} d x^{2} e^{4} + 30 \, A b^{9} d x^{2} e^{4} - 360 \, B a b^{8} d^{2} x e^{3} + 120 \, A b^{9} d^{2} x e^{3} + 36 \, B a^{2} b^{7} x^{2} e^{5} - 18 \, A a b^{8} x^{2} e^{5} + 360 \, B a^{2} b^{7} d x e^{4} - 180 \, A a b^{8} d x e^{4} - 120 \, B a^{3} b^{6} x e^{5} + 72 \, A a^{2} b^{7} x e^{5}}{12 \, b^{12}}"," ",0,"5*(B*b^4*d^4*e - 6*B*a*b^3*d^3*e^2 + 2*A*b^4*d^3*e^2 + 12*B*a^2*b^2*d^2*e^3 - 6*A*a*b^3*d^2*e^3 - 10*B*a^3*b*d*e^4 + 6*A*a^2*b^2*d*e^4 + 3*B*a^4*e^5 - 2*A*a^3*b*e^5)*log(abs(b*x + a))/b^7 - 1/2*(B*a*b^5*d^5 + A*b^6*d^5 - 15*B*a^2*b^4*d^4*e + 5*A*a*b^5*d^4*e + 50*B*a^3*b^3*d^3*e^2 - 30*A*a^2*b^4*d^3*e^2 - 70*B*a^4*b^2*d^2*e^3 + 50*A*a^3*b^3*d^2*e^3 + 45*B*a^5*b*d*e^4 - 35*A*a^4*b^2*d*e^4 - 11*B*a^6*e^5 + 9*A*a^5*b*e^5 + 2*(B*b^6*d^5 - 10*B*a*b^5*d^4*e + 5*A*b^6*d^4*e + 30*B*a^2*b^4*d^3*e^2 - 20*A*a*b^5*d^3*e^2 - 40*B*a^3*b^3*d^2*e^3 + 30*A*a^2*b^4*d^2*e^3 + 25*B*a^4*b^2*d*e^4 - 20*A*a^3*b^3*d*e^4 - 6*B*a^5*b*e^5 + 5*A*a^4*b^2*e^5)*x)/((b*x + a)^2*b^7) + 1/12*(3*B*b^9*x^4*e^5 + 20*B*b^9*d*x^3*e^4 + 60*B*b^9*d^2*x^2*e^3 + 120*B*b^9*d^3*x*e^2 - 12*B*a*b^8*x^3*e^5 + 4*A*b^9*x^3*e^5 - 90*B*a*b^8*d*x^2*e^4 + 30*A*b^9*d*x^2*e^4 - 360*B*a*b^8*d^2*x*e^3 + 120*A*b^9*d^2*x*e^3 + 36*B*a^2*b^7*x^2*e^5 - 18*A*a*b^8*x^2*e^5 + 360*B*a^2*b^7*d*x*e^4 - 180*A*a*b^8*d*x*e^4 - 120*B*a^3*b^6*x*e^5 + 72*A*a^2*b^7*x*e^5)/b^12","B",0
1134,1,420,0,1.239083," ","integrate((B*x+A)*(e*x+d)^4/(b*x+a)^3,x, algorithm=""giac"")","\frac{2 \, {\left(2 \, B b^{3} d^{3} e - 9 \, B a b^{2} d^{2} e^{2} + 3 \, A b^{3} d^{2} e^{2} + 12 \, B a^{2} b d e^{3} - 6 \, A a b^{2} d e^{3} - 5 \, B a^{3} e^{4} + 3 \, A a^{2} b e^{4}\right)} \log\left({\left| b x + a \right|}\right)}{b^{6}} - \frac{B a b^{4} d^{4} + A b^{5} d^{4} - 12 \, B a^{2} b^{3} d^{3} e + 4 \, A a b^{4} d^{3} e + 30 \, B a^{3} b^{2} d^{2} e^{2} - 18 \, A a^{2} b^{3} d^{2} e^{2} - 28 \, B a^{4} b d e^{3} + 20 \, A a^{3} b^{2} d e^{3} + 9 \, B a^{5} e^{4} - 7 \, A a^{4} b e^{4} + 2 \, {\left(B b^{5} d^{4} - 8 \, B a b^{4} d^{3} e + 4 \, A b^{5} d^{3} e + 18 \, B a^{2} b^{3} d^{2} e^{2} - 12 \, A a b^{4} d^{2} e^{2} - 16 \, B a^{3} b^{2} d e^{3} + 12 \, A a^{2} b^{3} d e^{3} + 5 \, B a^{4} b e^{4} - 4 \, A a^{3} b^{2} e^{4}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{6}} + \frac{2 \, B b^{6} x^{3} e^{4} + 12 \, B b^{6} d x^{2} e^{3} + 36 \, B b^{6} d^{2} x e^{2} - 9 \, B a b^{5} x^{2} e^{4} + 3 \, A b^{6} x^{2} e^{4} - 72 \, B a b^{5} d x e^{3} + 24 \, A b^{6} d x e^{3} + 36 \, B a^{2} b^{4} x e^{4} - 18 \, A a b^{5} x e^{4}}{6 \, b^{9}}"," ",0,"2*(2*B*b^3*d^3*e - 9*B*a*b^2*d^2*e^2 + 3*A*b^3*d^2*e^2 + 12*B*a^2*b*d*e^3 - 6*A*a*b^2*d*e^3 - 5*B*a^3*e^4 + 3*A*a^2*b*e^4)*log(abs(b*x + a))/b^6 - 1/2*(B*a*b^4*d^4 + A*b^5*d^4 - 12*B*a^2*b^3*d^3*e + 4*A*a*b^4*d^3*e + 30*B*a^3*b^2*d^2*e^2 - 18*A*a^2*b^3*d^2*e^2 - 28*B*a^4*b*d*e^3 + 20*A*a^3*b^2*d*e^3 + 9*B*a^5*e^4 - 7*A*a^4*b*e^4 + 2*(B*b^5*d^4 - 8*B*a*b^4*d^3*e + 4*A*b^5*d^3*e + 18*B*a^2*b^3*d^2*e^2 - 12*A*a*b^4*d^2*e^2 - 16*B*a^3*b^2*d*e^3 + 12*A*a^2*b^3*d*e^3 + 5*B*a^4*b*e^4 - 4*A*a^3*b^2*e^4)*x)/((b*x + a)^2*b^6) + 1/6*(2*B*b^6*x^3*e^4 + 12*B*b^6*d*x^2*e^3 + 36*B*b^6*d^2*x*e^2 - 9*B*a*b^5*x^2*e^4 + 3*A*b^6*x^2*e^4 - 72*B*a*b^5*d*x*e^3 + 24*A*b^6*d*x*e^3 + 36*B*a^2*b^4*x*e^4 - 18*A*a*b^5*x*e^4)/b^9","B",0
1135,1,272,0,1.220266," ","integrate((B*x+A)*(e*x+d)^3/(b*x+a)^3,x, algorithm=""giac"")","\frac{3 \, {\left(B b^{2} d^{2} e - 3 \, B a b d e^{2} + A b^{2} d e^{2} + 2 \, B a^{2} e^{3} - A a b e^{3}\right)} \log\left({\left| b x + a \right|}\right)}{b^{5}} + \frac{B b^{3} x^{2} e^{3} + 6 \, B b^{3} d x e^{2} - 6 \, B a b^{2} x e^{3} + 2 \, A b^{3} x e^{3}}{2 \, b^{6}} - \frac{B a b^{3} d^{3} + A b^{4} d^{3} - 9 \, B a^{2} b^{2} d^{2} e + 3 \, A a b^{3} d^{2} e + 15 \, B a^{3} b d e^{2} - 9 \, A a^{2} b^{2} d e^{2} - 7 \, B a^{4} e^{3} + 5 \, A a^{3} b e^{3} + 2 \, {\left(B b^{4} d^{3} - 6 \, B a b^{3} d^{2} e + 3 \, A b^{4} d^{2} e + 9 \, B a^{2} b^{2} d e^{2} - 6 \, A a b^{3} d e^{2} - 4 \, B a^{3} b e^{3} + 3 \, A a^{2} b^{2} e^{3}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{5}}"," ",0,"3*(B*b^2*d^2*e - 3*B*a*b*d*e^2 + A*b^2*d*e^2 + 2*B*a^2*e^3 - A*a*b*e^3)*log(abs(b*x + a))/b^5 + 1/2*(B*b^3*x^2*e^3 + 6*B*b^3*d*x*e^2 - 6*B*a*b^2*x*e^3 + 2*A*b^3*x*e^3)/b^6 - 1/2*(B*a*b^3*d^3 + A*b^4*d^3 - 9*B*a^2*b^2*d^2*e + 3*A*a*b^3*d^2*e + 15*B*a^3*b*d*e^2 - 9*A*a^2*b^2*d*e^2 - 7*B*a^4*e^3 + 5*A*a^3*b*e^3 + 2*(B*b^4*d^3 - 6*B*a*b^3*d^2*e + 3*A*b^4*d^2*e + 9*B*a^2*b^2*d*e^2 - 6*A*a*b^3*d*e^2 - 4*B*a^3*b*e^3 + 3*A*a^2*b^2*e^3)*x)/((b*x + a)^2*b^5)","A",0
1136,1,155,0,1.162723," ","integrate((B*x+A)*(e*x+d)^2/(b*x+a)^3,x, algorithm=""giac"")","\frac{B x e^{2}}{b^{3}} + \frac{{\left(2 \, B b d e - 3 \, B a e^{2} + A b e^{2}\right)} \log\left({\left| b x + a \right|}\right)}{b^{4}} - \frac{B a b^{2} d^{2} + A b^{3} d^{2} - 6 \, B a^{2} b d e + 2 \, A a b^{2} d e + 5 \, B a^{3} e^{2} - 3 \, A a^{2} b e^{2} + 2 \, {\left(B b^{3} d^{2} - 4 \, B a b^{2} d e + 2 \, A b^{3} d e + 3 \, B a^{2} b e^{2} - 2 \, A a b^{2} e^{2}\right)} x}{2 \, {\left(b x + a\right)}^{2} b^{4}}"," ",0,"B*x*e^2/b^3 + (2*B*b*d*e - 3*B*a*e^2 + A*b*e^2)*log(abs(b*x + a))/b^4 - 1/2*(B*a*b^2*d^2 + A*b^3*d^2 - 6*B*a^2*b*d*e + 2*A*a*b^2*d*e + 5*B*a^3*e^2 - 3*A*a^2*b*e^2 + 2*(B*b^3*d^2 - 4*B*a*b^2*d*e + 2*A*b^3*d*e + 3*B*a^2*b*e^2 - 2*A*a*b^2*e^2)*x)/((b*x + a)^2*b^4)","A",0
1137,1,77,0,1.166780," ","integrate((B*x+A)*(e*x+d)/(b*x+a)^3,x, algorithm=""giac"")","\frac{B e \log\left({\left| b x + a \right|}\right)}{b^{3}} - \frac{2 \, {\left(B b d - 2 \, B a e + A b e\right)} x + \frac{B a b d + A b^{2} d - 3 \, B a^{2} e + A a b e}{b}}{2 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"B*e*log(abs(b*x + a))/b^3 - 1/2*(2*(B*b*d - 2*B*a*e + A*b*e)*x + (B*a*b*d + A*b^2*d - 3*B*a^2*e + A*a*b*e)/b)/((b*x + a)^2*b^2)","A",0
1138,1,24,0,1.147625," ","integrate((B*x+A)/(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, B b x + B a + A b}{2 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"-1/2*(2*B*b*x + B*a + A*b)/((b*x + a)^2*b^2)","A",0
1139,1,229,0,1.325467," ","integrate((B*x+A)/(b*x+a)^3/(e*x+d),x, algorithm=""giac"")","-\frac{{\left(B b d e - A b e^{2}\right)} \log\left({\left| b x + a \right|}\right)}{b^{4} d^{3} - 3 \, a b^{3} d^{2} e + 3 \, a^{2} b^{2} d e^{2} - a^{3} b e^{3}} + \frac{{\left(B d e^{2} - A e^{3}\right)} \log\left({\left| x e + d \right|}\right)}{b^{3} d^{3} e - 3 \, a b^{2} d^{2} e^{2} + 3 \, a^{2} b d e^{3} - a^{3} e^{4}} - \frac{B a b^{2} d^{2} + A b^{3} d^{2} - 4 \, A a b^{2} d e - B a^{3} e^{2} + 3 \, A a^{2} b e^{2} + 2 \, {\left(B b^{3} d^{2} - B a b^{2} d e - A b^{3} d e + A a b^{2} e^{2}\right)} x}{2 \, {\left(b d - a e\right)}^{3} {\left(b x + a\right)}^{2} b}"," ",0,"-(B*b*d*e - A*b*e^2)*log(abs(b*x + a))/(b^4*d^3 - 3*a*b^3*d^2*e + 3*a^2*b^2*d*e^2 - a^3*b*e^3) + (B*d*e^2 - A*e^3)*log(abs(x*e + d))/(b^3*d^3*e - 3*a*b^2*d^2*e^2 + 3*a^2*b*d*e^3 - a^3*e^4) - 1/2*(B*a*b^2*d^2 + A*b^3*d^2 - 4*A*a*b^2*d*e - B*a^3*e^2 + 3*A*a^2*b*e^2 + 2*(B*b^3*d^2 - B*a*b^2*d*e - A*b^3*d*e + A*a*b^2*e^2)*x)/((b*d - a*e)^3*(b*x + a)^2*b)","B",0
1140,1,296,0,1.267750," ","integrate((B*x+A)/(b*x+a)^3/(e*x+d)^2,x, algorithm=""giac"")","-\frac{{\left(2 \, B b d e^{2} + B a e^{3} - 3 \, A b e^{3}\right)} \log\left({\left| b - \frac{b d}{x e + d} + \frac{a e}{x e + d} \right|}\right)}{b^{4} d^{4} e - 4 \, a b^{3} d^{3} e^{2} + 6 \, a^{2} b^{2} d^{2} e^{3} - 4 \, a^{3} b d e^{4} + a^{4} e^{5}} - \frac{\frac{B d e^{4}}{x e + d} - \frac{A e^{5}}{x e + d}}{b^{3} d^{3} e^{3} - 3 \, a b^{2} d^{2} e^{4} + 3 \, a^{2} b d e^{5} - a^{3} e^{6}} - \frac{2 \, B b^{3} d e + 3 \, B a b^{2} e^{2} - 5 \, A b^{3} e^{2} - \frac{2 \, {\left(B b^{3} d^{2} e^{2} + B a b^{2} d e^{3} - 3 \, A b^{3} d e^{3} - 2 \, B a^{2} b e^{4} + 3 \, A a b^{2} e^{4}\right)} e^{\left(-1\right)}}{x e + d}}{2 \, {\left(b d - a e\right)}^{4} {\left(b - \frac{b d}{x e + d} + \frac{a e}{x e + d}\right)}^{2}}"," ",0,"-(2*B*b*d*e^2 + B*a*e^3 - 3*A*b*e^3)*log(abs(b - b*d/(x*e + d) + a*e/(x*e + d)))/(b^4*d^4*e - 4*a*b^3*d^3*e^2 + 6*a^2*b^2*d^2*e^3 - 4*a^3*b*d*e^4 + a^4*e^5) - (B*d*e^4/(x*e + d) - A*e^5/(x*e + d))/(b^3*d^3*e^3 - 3*a*b^2*d^2*e^4 + 3*a^2*b*d*e^5 - a^3*e^6) - 1/2*(2*B*b^3*d*e + 3*B*a*b^2*e^2 - 5*A*b^3*e^2 - 2*(B*b^3*d^2*e^2 + B*a*b^2*d*e^3 - 3*A*b^3*d*e^3 - 2*B*a^2*b*e^4 + 3*A*a*b^2*e^4)*e^(-1)/(x*e + d))/((b*d - a*e)^4*(b - b*d/(x*e + d) + a*e/(x*e + d))^2)","A",0
1141,1,513,0,1.251446," ","integrate((B*x+A)/(b*x+a)^3/(e*x+d)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(B b^{3} d e + B a b^{2} e^{2} - 2 \, A b^{3} e^{2}\right)} \log\left({\left| b x + a \right|}\right)}{b^{6} d^{5} - 5 \, a b^{5} d^{4} e + 10 \, a^{2} b^{4} d^{3} e^{2} - 10 \, a^{3} b^{3} d^{2} e^{3} + 5 \, a^{4} b^{2} d e^{4} - a^{5} b e^{5}} + \frac{3 \, {\left(B b^{2} d e^{2} + B a b e^{3} - 2 \, A b^{2} e^{3}\right)} \log\left({\left| x e + d \right|}\right)}{b^{5} d^{5} e - 5 \, a b^{4} d^{4} e^{2} + 10 \, a^{2} b^{3} d^{3} e^{3} - 10 \, a^{3} b^{2} d^{2} e^{4} + 5 \, a^{4} b d e^{5} - a^{5} e^{6}} - \frac{6 \, B b^{3} d x^{3} e^{2} + 9 \, B b^{3} d^{2} x^{2} e + 2 \, B b^{3} d^{3} x + 6 \, B a b^{2} x^{3} e^{3} - 12 \, A b^{3} x^{3} e^{3} + 18 \, B a b^{2} d x^{2} e^{2} - 18 \, A b^{3} d x^{2} e^{2} + 16 \, B a b^{2} d^{2} x e - 4 \, A b^{3} d^{2} x e + B a b^{2} d^{3} + A b^{3} d^{3} + 9 \, B a^{2} b x^{2} e^{3} - 18 \, A a b^{2} x^{2} e^{3} + 16 \, B a^{2} b d x e^{2} - 28 \, A a b^{2} d x e^{2} + 10 \, B a^{2} b d^{2} e - 7 \, A a b^{2} d^{2} e + 2 \, B a^{3} x e^{3} - 4 \, A a^{2} b x e^{3} + B a^{3} d e^{2} - 7 \, A a^{2} b d e^{2} + A a^{3} e^{3}}{2 \, {\left(b^{4} d^{4} - 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} - 4 \, a^{3} b d e^{3} + a^{4} e^{4}\right)} {\left(b x^{2} e + b d x + a x e + a d\right)}^{2}}"," ",0,"-3*(B*b^3*d*e + B*a*b^2*e^2 - 2*A*b^3*e^2)*log(abs(b*x + a))/(b^6*d^5 - 5*a*b^5*d^4*e + 10*a^2*b^4*d^3*e^2 - 10*a^3*b^3*d^2*e^3 + 5*a^4*b^2*d*e^4 - a^5*b*e^5) + 3*(B*b^2*d*e^2 + B*a*b*e^3 - 2*A*b^2*e^3)*log(abs(x*e + d))/(b^5*d^5*e - 5*a*b^4*d^4*e^2 + 10*a^2*b^3*d^3*e^3 - 10*a^3*b^2*d^2*e^4 + 5*a^4*b*d*e^5 - a^5*e^6) - 1/2*(6*B*b^3*d*x^3*e^2 + 9*B*b^3*d^2*x^2*e + 2*B*b^3*d^3*x + 6*B*a*b^2*x^3*e^3 - 12*A*b^3*x^3*e^3 + 18*B*a*b^2*d*x^2*e^2 - 18*A*b^3*d*x^2*e^2 + 16*B*a*b^2*d^2*x*e - 4*A*b^3*d^2*x*e + B*a*b^2*d^3 + A*b^3*d^3 + 9*B*a^2*b*x^2*e^3 - 18*A*a*b^2*x^2*e^3 + 16*B*a^2*b*d*x*e^2 - 28*A*a*b^2*d*x*e^2 + 10*B*a^2*b*d^2*e - 7*A*a*b^2*d^2*e + 2*B*a^3*x*e^3 - 4*A*a^2*b*x*e^3 + B*a^3*d*e^2 - 7*A*a^2*b*d*e^2 + A*a^3*e^3)/((b^4*d^4 - 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 - 4*a^3*b*d*e^3 + a^4*e^4)*(b*x^2*e + b*d*x + a*x*e + a*d)^2)","B",0
1142,1,760,0,1.262912," ","integrate((B*x+A)/(b*x+a)^3/(e*x+d)^4,x, algorithm=""giac"")","-\frac{2 \, {\left(2 \, B b^{4} d e + 3 \, B a b^{3} e^{2} - 5 \, A b^{4} e^{2}\right)} \log\left({\left| b x + a \right|}\right)}{b^{7} d^{6} - 6 \, a b^{6} d^{5} e + 15 \, a^{2} b^{5} d^{4} e^{2} - 20 \, a^{3} b^{4} d^{3} e^{3} + 15 \, a^{4} b^{3} d^{2} e^{4} - 6 \, a^{5} b^{2} d e^{5} + a^{6} b e^{6}} + \frac{2 \, {\left(2 \, B b^{3} d e^{2} + 3 \, B a b^{2} e^{3} - 5 \, A b^{3} e^{3}\right)} \log\left({\left| x e + d \right|}\right)}{b^{6} d^{6} e - 6 \, a b^{5} d^{5} e^{2} + 15 \, a^{2} b^{4} d^{4} e^{3} - 20 \, a^{3} b^{3} d^{3} e^{4} + 15 \, a^{4} b^{2} d^{2} e^{5} - 6 \, a^{5} b d e^{6} + a^{6} e^{7}} - \frac{3 \, B a b^{4} d^{5} + 3 \, A b^{5} d^{5} + 44 \, B a^{2} b^{3} d^{4} e - 30 \, A a b^{4} d^{4} e - 36 \, B a^{3} b^{2} d^{3} e^{2} - 20 \, A a^{2} b^{3} d^{3} e^{2} - 12 \, B a^{4} b d^{2} e^{3} + 60 \, A a^{3} b^{2} d^{2} e^{3} + B a^{5} d e^{4} - 15 \, A a^{4} b d e^{4} + 2 \, A a^{5} e^{5} + 12 \, {\left(2 \, B b^{5} d^{2} e^{3} + B a b^{4} d e^{4} - 5 \, A b^{5} d e^{4} - 3 \, B a^{2} b^{3} e^{5} + 5 \, A a b^{4} e^{5}\right)} x^{4} + 6 \, {\left(10 \, B b^{5} d^{3} e^{2} + 11 \, B a b^{4} d^{2} e^{3} - 25 \, A b^{5} d^{2} e^{3} - 12 \, B a^{2} b^{3} d e^{4} + 10 \, A a b^{4} d e^{4} - 9 \, B a^{3} b^{2} e^{5} + 15 \, A a^{2} b^{3} e^{5}\right)} x^{3} + 2 \, {\left(22 \, B b^{5} d^{4} e + 57 \, B a b^{4} d^{3} e^{2} - 55 \, A b^{5} d^{3} e^{2} - 6 \, B a^{2} b^{3} d^{2} e^{3} - 60 \, A a b^{4} d^{2} e^{3} - 67 \, B a^{3} b^{2} d e^{4} + 105 \, A a^{2} b^{3} d e^{4} - 6 \, B a^{4} b e^{5} + 10 \, A a^{3} b^{2} e^{5}\right)} x^{2} + {\left(6 \, B b^{5} d^{5} + 73 \, B a b^{4} d^{4} e - 15 \, A b^{5} d^{4} e + 48 \, B a^{2} b^{3} d^{3} e^{2} - 160 \, A a b^{4} d^{3} e^{2} - 96 \, B a^{3} b^{2} d^{2} e^{3} + 120 \, A a^{2} b^{3} d^{2} e^{3} - 34 \, B a^{4} b d e^{4} + 60 \, A a^{3} b^{2} d e^{4} + 3 \, B a^{5} e^{5} - 5 \, A a^{4} b e^{5}\right)} x}{6 \, {\left(b d - a e\right)}^{6} {\left(b x + a\right)}^{2} {\left(x e + d\right)}^{3}}"," ",0,"-2*(2*B*b^4*d*e + 3*B*a*b^3*e^2 - 5*A*b^4*e^2)*log(abs(b*x + a))/(b^7*d^6 - 6*a*b^6*d^5*e + 15*a^2*b^5*d^4*e^2 - 20*a^3*b^4*d^3*e^3 + 15*a^4*b^3*d^2*e^4 - 6*a^5*b^2*d*e^5 + a^6*b*e^6) + 2*(2*B*b^3*d*e^2 + 3*B*a*b^2*e^3 - 5*A*b^3*e^3)*log(abs(x*e + d))/(b^6*d^6*e - 6*a*b^5*d^5*e^2 + 15*a^2*b^4*d^4*e^3 - 20*a^3*b^3*d^3*e^4 + 15*a^4*b^2*d^2*e^5 - 6*a^5*b*d*e^6 + a^6*e^7) - 1/6*(3*B*a*b^4*d^5 + 3*A*b^5*d^5 + 44*B*a^2*b^3*d^4*e - 30*A*a*b^4*d^4*e - 36*B*a^3*b^2*d^3*e^2 - 20*A*a^2*b^3*d^3*e^2 - 12*B*a^4*b*d^2*e^3 + 60*A*a^3*b^2*d^2*e^3 + B*a^5*d*e^4 - 15*A*a^4*b*d*e^4 + 2*A*a^5*e^5 + 12*(2*B*b^5*d^2*e^3 + B*a*b^4*d*e^4 - 5*A*b^5*d*e^4 - 3*B*a^2*b^3*e^5 + 5*A*a*b^4*e^5)*x^4 + 6*(10*B*b^5*d^3*e^2 + 11*B*a*b^4*d^2*e^3 - 25*A*b^5*d^2*e^3 - 12*B*a^2*b^3*d*e^4 + 10*A*a*b^4*d*e^4 - 9*B*a^3*b^2*e^5 + 15*A*a^2*b^3*e^5)*x^3 + 2*(22*B*b^5*d^4*e + 57*B*a*b^4*d^3*e^2 - 55*A*b^5*d^3*e^2 - 6*B*a^2*b^3*d^2*e^3 - 60*A*a*b^4*d^2*e^3 - 67*B*a^3*b^2*d*e^4 + 105*A*a^2*b^3*d*e^4 - 6*B*a^4*b*e^5 + 10*A*a^3*b^2*e^5)*x^2 + (6*B*b^5*d^5 + 73*B*a*b^4*d^4*e - 15*A*b^5*d^4*e + 48*B*a^2*b^3*d^3*e^2 - 160*A*a*b^4*d^3*e^2 - 96*B*a^3*b^2*d^2*e^3 + 120*A*a^2*b^3*d^2*e^3 - 34*B*a^4*b*d*e^4 + 60*A*a^3*b^2*d*e^4 + 3*B*a^5*e^5 - 5*A*a^4*b*e^5)*x)/((b*d - a*e)^6*(b*x + a)^2*(x*e + d)^3)","B",0
1143,1,54,0,1.217732," ","integrate((1-2*x)*(2+3*x)^8*(3+5*x),x, algorithm=""giac"")","-\frac{65610}{11} \, x^{11} - \frac{356481}{10} \, x^{10} - 92421 \, x^{9} - 133164 \, x^{8} - 110160 \, x^{7} - 41328 \, x^{6} + \frac{62496}{5} \, x^{5} + 24576 \, x^{4} + \frac{42752}{3} \, x^{3} + 4480 \, x^{2} + 768 \, x"," ",0,"-65610/11*x^11 - 356481/10*x^10 - 92421*x^9 - 133164*x^8 - 110160*x^7 - 41328*x^6 + 62496/5*x^5 + 24576*x^4 + 42752/3*x^3 + 4480*x^2 + 768*x","A",0
1144,1,49,0,1.181846," ","integrate((1-2*x)*(2+3*x)^7*(3+5*x),x, algorithm=""giac"")","-2187 \, x^{10} - 11583 \, x^{9} - \frac{207765}{8} \, x^{8} - 30942 \, x^{7} - 18774 \, x^{6} - 1512 \, x^{5} + 6468 \, x^{4} + \frac{15520}{3} \, x^{3} + 1952 \, x^{2} + 384 \, x"," ",0,"-2187*x^10 - 11583*x^9 - 207765/8*x^8 - 30942*x^7 - 18774*x^6 - 1512*x^5 + 6468*x^4 + 15520/3*x^3 + 1952*x^2 + 384*x","A",0
1145,1,44,0,1.179021," ","integrate((1-2*x)*(2+3*x)^6*(3+5*x),x, algorithm=""giac"")","-810 \, x^{9} - \frac{29889}{8} \, x^{8} - 7047 \, x^{7} - 6552 \, x^{6} - 2268 \, x^{5} + 1260 \, x^{4} + \frac{5264}{3} \, x^{3} + 832 \, x^{2} + 192 \, x"," ",0,"-810*x^9 - 29889/8*x^8 - 7047*x^7 - 6552*x^6 - 2268*x^5 + 1260*x^4 + 5264/3*x^3 + 832*x^2 + 192*x","A",0
1146,1,39,0,1.134189," ","integrate((1-2*x)*(2+3*x)^5*(3+5*x),x, algorithm=""giac"")","-\frac{1215}{4} \, x^{8} - \frac{8343}{7} \, x^{7} - \frac{3627}{2} \, x^{6} - 1170 \, x^{5} + 30 \, x^{4} + \frac{1600}{3} \, x^{3} + 344 \, x^{2} + 96 \, x"," ",0,"-1215/4*x^8 - 8343/7*x^7 - 3627/2*x^6 - 1170*x^5 + 30*x^4 + 1600/3*x^3 + 344*x^2 + 96*x","A",0
1147,1,34,0,1.246087," ","integrate((1-2*x)*(2+3*x)^4*(3+5*x),x, algorithm=""giac"")","-\frac{810}{7} \, x^{7} - \frac{747}{2} \, x^{6} - \frac{2133}{5} \, x^{5} - 132 \, x^{4} + \frac{392}{3} \, x^{3} + 136 \, x^{2} + 48 \, x"," ",0,"-810/7*x^7 - 747/2*x^6 - 2133/5*x^5 - 132*x^4 + 392/3*x^3 + 136*x^2 + 48*x","A",0
1148,1,29,0,1.189246," ","integrate((1-2*x)*(2+3*x)^3*(3+5*x),x, algorithm=""giac"")","-45 \, x^{6} - \frac{567}{5} \, x^{5} - \frac{333}{4} \, x^{4} + \frac{46}{3} \, x^{3} + 50 \, x^{2} + 24 \, x"," ",0,"-45*x^6 - 567/5*x^5 - 333/4*x^4 + 46/3*x^3 + 50*x^2 + 24*x","A",0
1149,1,24,0,1.160658," ","integrate((1-2*x)*(2+3*x)^2*(3+5*x),x, algorithm=""giac"")","-18 \, x^{5} - \frac{129}{4} \, x^{4} - \frac{25}{3} \, x^{3} + 16 \, x^{2} + 12 \, x"," ",0,"-18*x^5 - 129/4*x^4 - 25/3*x^3 + 16*x^2 + 12*x","A",0
1150,1,19,0,1.230255," ","integrate((1-2*x)*(2+3*x)*(3+5*x),x, algorithm=""giac"")","-\frac{15}{2} \, x^{4} - \frac{23}{3} \, x^{3} + \frac{7}{2} \, x^{2} + 6 \, x"," ",0,"-15/2*x^4 - 23/3*x^3 + 7/2*x^2 + 6*x","A",0
1151,1,14,0,1.212278," ","integrate((1-2*x)*(3+5*x),x, algorithm=""giac"")","-\frac{10}{3} \, x^{3} - \frac{1}{2} \, x^{2} + 3 \, x"," ",0,"-10/3*x^3 - 1/2*x^2 + 3*x","A",0
1152,1,18,0,1.120465," ","integrate((1-2*x)*(3+5*x)/(2+3*x),x, algorithm=""giac"")","-\frac{5}{3} \, x^{2} + \frac{17}{9} \, x - \frac{7}{27} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-5/3*x^2 + 17/9*x - 7/27*log(abs(3*x + 2))","A",0
1153,1,32,0,1.190689," ","integrate((1-2*x)*(3+5*x)/(2+3*x)^2,x, algorithm=""giac"")","-\frac{10}{9} \, x + \frac{7}{27 \, {\left(3 \, x + 2\right)}} - \frac{37}{27} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right) - \frac{20}{27}"," ",0,"-10/9*x + 7/27/(3*x + 2) - 37/27*log(1/3*abs(3*x + 2)/(3*x + 2)^2) - 20/27","A",0
1154,1,24,0,1.192957," ","integrate((1-2*x)*(3+5*x)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{74 \, x + 47}{18 \, {\left(3 \, x + 2\right)}^{2}} - \frac{10}{27} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-1/18*(74*x + 47)/(3*x + 2)^2 - 10/27*log(abs(3*x + 2))","A",0
1155,1,19,0,1.316883," ","integrate((1-2*x)*(3+5*x)/(2+3*x)^4,x, algorithm=""giac"")","\frac{540 \, x^{2} + 387 \, x + 32}{162 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"1/162*(540*x^2 + 387*x + 32)/(3*x + 2)^3","A",0
1156,1,28,0,1.173249," ","integrate((1-2*x)*(3+5*x)/(2+3*x)^5,x, algorithm=""giac"")","\frac{5}{27 \, {\left(3 \, x + 2\right)}^{2}} - \frac{37}{81 \, {\left(3 \, x + 2\right)}^{3}} + \frac{7}{108 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"5/27/(3*x + 2)^2 - 37/81/(3*x + 2)^3 + 7/108/(3*x + 2)^4","A",0
1157,1,19,0,1.135065," ","integrate((1-2*x)*(3+5*x)/(2+3*x)^6,x, algorithm=""giac"")","\frac{1800 \, x^{2} + 735 \, x - 226}{1620 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"1/1620*(1800*x^2 + 735*x - 226)/(3*x + 2)^5","A",0
1158,1,59,0,1.200660," ","integrate((1-2*x)*(2+3*x)^8*(3+5*x)^2,x, algorithm=""giac"")","-\frac{54675}{2} \, x^{12} - \frac{1979235}{11} \, x^{11} - \frac{2614194}{5} \, x^{10} - 869103 \, x^{9} - 881442 \, x^{8} - 507600 \, x^{7} - 71904 \, x^{6} + \frac{679008}{5} \, x^{5} + 127168 \, x^{4} + \frac{173056}{3} \, x^{3} + 15360 \, x^{2} + 2304 \, x"," ",0,"-54675/2*x^12 - 1979235/11*x^11 - 2614194/5*x^10 - 869103*x^9 - 881442*x^8 - 507600*x^7 - 71904*x^6 + 679008/5*x^5 + 127168*x^4 + 173056/3*x^3 + 15360*x^2 + 2304*x","A",0
1159,1,54,0,1.146547," ","integrate((1-2*x)*(2+3*x)^7*(3+5*x)^2,x, algorithm=""giac"")","-\frac{109350}{11} \, x^{11} - \frac{117369}{2} \, x^{10} - 150174 \, x^{9} - \frac{1706265}{8} \, x^{8} - 173286 \, x^{7} - 62622 \, x^{6} + 21336 \, x^{5} + 38804 \, x^{4} + \frac{66080}{3} \, x^{3} + 6816 \, x^{2} + 1152 \, x"," ",0,"-109350/11*x^11 - 117369/2*x^10 - 150174*x^9 - 1706265/8*x^8 - 173286*x^7 - 62622*x^6 + 21336*x^5 + 38804*x^4 + 66080/3*x^3 + 6816*x^2 + 1152*x","A",0
1160,1,49,0,1.130550," ","integrate((1-2*x)*(2+3*x)^6*(3+5*x)^2,x, algorithm=""giac"")","-3645 \, x^{10} - 19035 \, x^{9} - 42039 \, x^{8} - 49221 \, x^{7} - 29106 \, x^{6} - 1764 \, x^{5} + 10360 \, x^{4} + \frac{24112}{3} \, x^{3} + 2976 \, x^{2} + 576 \, x"," ",0,"-3645*x^10 - 19035*x^9 - 42039*x^8 - 49221*x^7 - 29106*x^6 - 1764*x^5 + 10360*x^4 + 24112/3*x^3 + 2976*x^2 + 576*x","A",0
1161,1,44,0,1.231874," ","integrate((1-2*x)*(2+3*x)^5*(3+5*x)^2,x, algorithm=""giac"")","-1350 \, x^{9} - \frac{49005}{8} \, x^{8} - \frac{79434}{7} \, x^{7} - \frac{20631}{2} \, x^{6} - 3390 \, x^{5} + 2090 \, x^{4} + \frac{8240}{3} \, x^{3} + 1272 \, x^{2} + 288 \, x"," ",0,"-1350*x^9 - 49005/8*x^8 - 79434/7*x^7 - 20631/2*x^6 - 3390*x^5 + 2090*x^4 + 8240/3*x^3 + 1272*x^2 + 288*x","A",0
1162,1,39,0,1.242375," ","integrate((1-2*x)*(2+3*x)^4*(3+5*x)^2,x, algorithm=""giac"")","-\frac{2025}{4} \, x^{8} - \frac{13635}{7} \, x^{7} - 2898 \, x^{6} - \frac{9039}{5} \, x^{5} + 94 \, x^{4} + \frac{2536}{3} \, x^{3} + 528 \, x^{2} + 144 \, x"," ",0,"-2025/4*x^8 - 13635/7*x^7 - 2898*x^6 - 9039/5*x^5 + 94*x^4 + 2536/3*x^3 + 528*x^2 + 144*x","A",0
1163,1,34,0,1.164762," ","integrate((1-2*x)*(2+3*x)^3*(3+5*x)^2,x, algorithm=""giac"")","-\frac{1350}{7} \, x^{7} - \frac{1215}{2} \, x^{6} - \frac{3366}{5} \, x^{5} - \frac{769}{4} \, x^{4} + \frac{638}{3} \, x^{3} + 210 \, x^{2} + 72 \, x"," ",0,"-1350/7*x^7 - 1215/2*x^6 - 3366/5*x^5 - 769/4*x^4 + 638/3*x^3 + 210*x^2 + 72*x","A",0
1164,1,29,0,1.210074," ","integrate((1-2*x)*(2+3*x)^2*(3+5*x)^2,x, algorithm=""giac"")","-75 \, x^{6} - 183 \, x^{5} - 128 \, x^{4} + \frac{85}{3} \, x^{3} + 78 \, x^{2} + 36 \, x"," ",0,"-75*x^6 - 183*x^5 - 128*x^4 + 85/3*x^3 + 78*x^2 + 36*x","A",0
1165,1,24,0,1.205728," ","integrate((1-2*x)*(2+3*x)*(3+5*x)^2,x, algorithm=""giac"")","-30 \, x^{5} - \frac{205}{4} \, x^{4} - \frac{34}{3} \, x^{3} + \frac{51}{2} \, x^{2} + 18 \, x"," ",0,"-30*x^5 - 205/4*x^4 - 34/3*x^3 + 51/2*x^2 + 18*x","A",0
1166,1,19,0,1.150188," ","integrate((1-2*x)*(3+5*x)^2,x, algorithm=""giac"")","-\frac{25}{2} \, x^{4} - \frac{35}{3} \, x^{3} + 6 \, x^{2} + 9 \, x"," ",0,"-25/2*x^4 - 35/3*x^3 + 6*x^2 + 9*x","A",0
1167,1,23,0,1.222642," ","integrate((1-2*x)*(3+5*x)^2/(2+3*x),x, algorithm=""giac"")","-\frac{50}{9} \, x^{3} - \frac{5}{18} \, x^{2} + \frac{118}{27} \, x + \frac{7}{81} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-50/9*x^3 - 5/18*x^2 + 118/27*x + 7/81*log(abs(3*x + 2))","A",0
1168,1,48,0,1.200398," ","integrate((1-2*x)*(3+5*x)^2/(2+3*x)^2,x, algorithm=""giac"")","\frac{5}{81} \, {\left(3 \, x + 2\right)}^{2} {\left(\frac{39}{3 \, x + 2} - 5\right)} - \frac{7}{81 \, {\left(3 \, x + 2\right)}} + \frac{8}{9} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right)"," ",0,"5/81*(3*x + 2)^2*(39/(3*x + 2) - 5) - 7/81/(3*x + 2) + 8/9*log(1/3*abs(3*x + 2)/(3*x + 2)^2)","A",0
1169,1,27,0,1.175733," ","integrate((1-2*x)*(3+5*x)^2/(2+3*x)^3,x, algorithm=""giac"")","-\frac{50}{27} \, x + \frac{432 \, x + 281}{162 \, {\left(3 \, x + 2\right)}^{2}} + \frac{65}{27} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-50/27*x + 1/162*(432*x + 281)/(3*x + 2)^2 + 65/27*log(abs(3*x + 2))","A",0
1170,1,29,0,1.197994," ","integrate((1-2*x)*(3+5*x)^2/(2+3*x)^4,x, algorithm=""giac"")","-\frac{5265 \, x^{2} + 6696 \, x + 2131}{243 \, {\left(3 \, x + 2\right)}^{3}} - \frac{50}{81} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-1/243*(5265*x^2 + 6696*x + 2131)/(3*x + 2)^3 - 50/81*log(abs(3*x + 2))","A",0
1171,1,37,0,1.252513," ","integrate((1-2*x)*(3+5*x)^2/(2+3*x)^5,x, algorithm=""giac"")","\frac{50}{81 \, {\left(3 \, x + 2\right)}} - \frac{65}{54 \, {\left(3 \, x + 2\right)}^{2}} + \frac{8}{27 \, {\left(3 \, x + 2\right)}^{3}} - \frac{7}{324 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"50/81/(3*x + 2) - 65/54/(3*x + 2)^2 + 8/27/(3*x + 2)^3 - 7/324/(3*x + 2)^4","A",0
1172,1,24,0,1.215129," ","integrate((1-2*x)*(3+5*x)^2/(2+3*x)^6,x, algorithm=""giac"")","\frac{3375 \, x^{3} + 3825 \, x^{2} + 870 \, x - 127}{405 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"1/405*(3375*x^3 + 3825*x^2 + 870*x - 127)/(3*x + 2)^5","A",0
1173,1,24,0,1.226386," ","integrate((1-2*x)*(3+5*x)^2/(2+3*x)^7,x, algorithm=""giac"")","\frac{27000 \, x^{3} + 27675 \, x^{2} + 3492 \, x - 2042}{4860 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"1/4860*(27000*x^3 + 27675*x^2 + 3492*x - 2042)/(3*x + 2)^6","A",0
1174,1,24,0,1.214885," ","integrate((1-2*x)*(3+5*x)^2/(2+3*x)^8,x, algorithm=""giac"")","\frac{225 \, x^{3} + 216 \, x^{2} + 12 \, x - 22}{54 \, {\left(3 \, x + 2\right)}^{7}}"," ",0,"1/54*(225*x^3 + 216*x^2 + 12*x - 22)/(3*x + 2)^7","A",0
1175,1,64,0,1.226487," ","integrate((1-2*x)*(2+3*x)^8*(3+5*x)^3,x, algorithm=""giac"")","-\frac{1640250}{13} \, x^{13} - \frac{3626775}{4} \, x^{12} - \frac{32079645}{11} \, x^{11} - \frac{54794799}{10} \, x^{10} - 6524829 \, x^{9} - 4865076 \, x^{8} - 1830960 \, x^{7} + 350128 \, x^{6} + \frac{4580384}{5} \, x^{5} + 597824 \, x^{4} + 224256 \, x^{3} + 51840 \, x^{2} + 6912 \, x"," ",0,"-1640250/13*x^13 - 3626775/4*x^12 - 32079645/11*x^11 - 54794799/10*x^10 - 6524829*x^9 - 4865076*x^8 - 1830960*x^7 + 350128*x^6 + 4580384/5*x^5 + 597824*x^4 + 224256*x^3 + 51840*x^2 + 6912*x","A",0
1176,1,59,0,1.195260," ","integrate((1-2*x)*(2+3*x)^7*(3+5*x)^3,x, algorithm=""giac"")","-\frac{91125}{2} \, x^{12} - \frac{3262275}{11} \, x^{11} - \frac{1703673}{2} \, x^{10} - 1398447 \, x^{9} - \frac{11183805}{8} \, x^{8} - 788238 \, x^{7} - 98966 \, x^{6} + 219224 \, x^{5} + 199012 \, x^{4} + 88800 \, x^{3} + 23328 \, x^{2} + 3456 \, x"," ",0,"-91125/2*x^12 - 3262275/11*x^11 - 1703673/2*x^10 - 1398447*x^9 - 11183805/8*x^8 - 788238*x^7 - 98966*x^6 + 219224*x^5 + 199012*x^4 + 88800*x^3 + 23328*x^2 + 3456*x","A",0
1177,1,54,0,1.281196," ","integrate((1-2*x)*(2+3*x)^6*(3+5*x)^3,x, algorithm=""giac"")","-\frac{182250}{11} \, x^{11} - \frac{193185}{2} \, x^{10} - 243945 \, x^{9} - \frac{2731671}{8} \, x^{8} - 272403 \, x^{7} - 94668 \, x^{6} + 36148 \, x^{5} + 61220 \, x^{4} + 34032 \, x^{3} + 10368 \, x^{2} + 1728 \, x"," ",0,"-182250/11*x^11 - 193185/2*x^10 - 243945*x^9 - 2731671/8*x^8 - 272403*x^7 - 94668*x^6 + 36148*x^5 + 61220*x^4 + 34032*x^3 + 10368*x^2 + 1728*x","A",0
1178,1,49,0,1.232177," ","integrate((1-2*x)*(2+3*x)^5*(3+5*x)^3,x, algorithm=""giac"")","-6075 \, x^{10} - 31275 \, x^{9} - \frac{544185}{8} \, x^{8} - \frac{547767}{7} \, x^{7} - \frac{90143}{2} \, x^{6} - 1810 \, x^{5} + 16570 \, x^{4} + 12480 \, x^{3} + 4536 \, x^{2} + 864 \, x"," ",0,"-6075*x^10 - 31275*x^9 - 544185/8*x^8 - 547767/7*x^7 - 90143/2*x^6 - 1810*x^5 + 16570*x^4 + 12480*x^3 + 4536*x^2 + 864*x","A",0
1179,1,44,0,1.193652," ","integrate((1-2*x)*(2+3*x)^4*(3+5*x)^3,x, algorithm=""giac"")","-2250 \, x^{9} - \frac{80325}{8} \, x^{8} - \frac{127845}{7} \, x^{7} - \frac{32453}{2} \, x^{6} - \frac{25237}{5} \, x^{5} + 3452 \, x^{4} + 4296 \, x^{3} + 1944 \, x^{2} + 432 \, x"," ",0,"-2250*x^9 - 80325/8*x^8 - 127845/7*x^7 - 32453/2*x^6 - 25237/5*x^5 + 3452*x^4 + 4296*x^3 + 1944*x^2 + 432*x","A",0
1180,1,39,0,1.235033," ","integrate((1-2*x)*(2+3*x)^3*(3+5*x)^3,x, algorithm=""giac"")","-\frac{3375}{4} \, x^{8} - \frac{22275}{7} \, x^{7} - \frac{9255}{2} \, x^{6} - \frac{13943}{5} \, x^{5} + \frac{883}{4} \, x^{4} + 1338 \, x^{3} + 810 \, x^{2} + 216 \, x"," ",0,"-3375/4*x^8 - 22275/7*x^7 - 9255/2*x^6 - 13943/5*x^5 + 883/4*x^4 + 1338*x^3 + 810*x^2 + 216*x","A",0
1181,1,34,0,1.182988," ","integrate((1-2*x)*(2+3*x)^2*(3+5*x)^3,x, algorithm=""giac"")","-\frac{2250}{7} \, x^{7} - \frac{1975}{2} \, x^{6} - 1061 \, x^{5} - \frac{1111}{4} \, x^{4} + 345 \, x^{3} + 324 \, x^{2} + 108 \, x"," ",0,"-2250/7*x^7 - 1975/2*x^6 - 1061*x^5 - 1111/4*x^4 + 345*x^3 + 324*x^2 + 108*x","A",0
1182,1,29,0,1.199980," ","integrate((1-2*x)*(2+3*x)*(3+5*x)^3,x, algorithm=""giac"")","-125 \, x^{6} - 295 \, x^{5} - \frac{785}{4} \, x^{4} + 51 \, x^{3} + \frac{243}{2} \, x^{2} + 54 \, x"," ",0,"-125*x^6 - 295*x^5 - 785/4*x^4 + 51*x^3 + 243/2*x^2 + 54*x","A",0
1183,1,24,0,1.189573," ","integrate((1-2*x)*(3+5*x)^3,x, algorithm=""giac"")","-50 \, x^{5} - \frac{325}{4} \, x^{4} - 15 \, x^{3} + \frac{81}{2} \, x^{2} + 27 \, x"," ",0,"-50*x^5 - 325/4*x^4 - 15*x^3 + 81/2*x^2 + 27*x","A",0
1184,1,28,0,1.250853," ","integrate((1-2*x)*(3+5*x)^3/(2+3*x),x, algorithm=""giac"")","-\frac{125}{6} \, x^{4} - \frac{475}{27} \, x^{3} + \frac{545}{54} \, x^{2} + \frac{1097}{81} \, x - \frac{7}{243} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-125/6*x^4 - 475/27*x^3 + 545/54*x^2 + 1097/81*x - 7/243*log(abs(3*x + 2))","A",0
1185,1,57,0,1.182436," ","integrate((1-2*x)*(3+5*x)^3/(2+3*x)^2,x, algorithm=""giac"")","\frac{5}{1458} \, {\left(3 \, x + 2\right)}^{3} {\left(\frac{615}{3 \, x + 2} - \frac{666}{{\left(3 \, x + 2\right)}^{2}} - 100\right)} + \frac{7}{243 \, {\left(3 \, x + 2\right)}} - \frac{107}{243} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right)"," ",0,"5/1458*(3*x + 2)^3*(615/(3*x + 2) - 666/(3*x + 2)^2 - 100) + 7/243/(3*x + 2) - 107/243*log(1/3*abs(3*x + 2)/(3*x + 2)^2)","A",0
1186,1,32,0,1.159859," ","integrate((1-2*x)*(3+5*x)^3/(2+3*x)^3,x, algorithm=""giac"")","-\frac{125}{27} \, x^{2} + \frac{175}{27} \, x - \frac{642 \, x + 421}{486 \, {\left(3 \, x + 2\right)}^{2}} - \frac{185}{81} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-125/27*x^2 + 175/27*x - 1/486*(642*x + 421)/(3*x + 2)^2 - 185/81*log(abs(3*x + 2))","A",0
1187,1,32,0,1.110252," ","integrate((1-2*x)*(3+5*x)^3/(2+3*x)^4,x, algorithm=""giac"")","-\frac{250}{81} \, x + \frac{29970 \, x^{2} + 38997 \, x + 12692}{1458 \, {\left(3 \, x + 2\right)}^{3}} + \frac{1025}{243} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-250/81*x + 1/1458*(29970*x^2 + 38997*x + 12692)/(3*x + 2)^3 + 1025/243*log(abs(3*x + 2))","A",0
1188,1,55,0,1.178285," ","integrate((1-2*x)*(3+5*x)^3/(2+3*x)^5,x, algorithm=""giac"")","-\frac{1025}{243 \, {\left(3 \, x + 2\right)}} + \frac{185}{162 \, {\left(3 \, x + 2\right)}^{2}} - \frac{107}{729 \, {\left(3 \, x + 2\right)}^{3}} + \frac{7}{972 \, {\left(3 \, x + 2\right)}^{4}} + \frac{250}{243} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right)"," ",0,"-1025/243/(3*x + 2) + 185/162/(3*x + 2)^2 - 107/729/(3*x + 2)^3 + 7/972/(3*x + 2)^4 + 250/243*log(1/3*abs(3*x + 2)/(3*x + 2)^2)","A",0
1189,1,29,0,1.207239," ","integrate((1-2*x)*(3+5*x)^3/(2+3*x)^6,x, algorithm=""giac"")","\frac{405000 \, x^{4} + 803250 \, x^{3} + 559800 \, x^{2} + 153795 \, x + 11758}{4860 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"1/4860*(405000*x^4 + 803250*x^3 + 559800*x^2 + 153795*x + 11758)/(3*x + 2)^5","A",0
1190,1,29,0,1.176376," ","integrate((1-2*x)*(3+5*x)^3/(2+3*x)^7,x, algorithm=""giac"")","\frac{607500 \, x^{4} + 1066500 \, x^{3} + 587925 \, x^{2} + 78048 \, x - 13198}{14580 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"1/14580*(607500*x^4 + 1066500*x^3 + 587925*x^2 + 78048*x - 13198)/(3*x + 2)^6","A",0
1191,1,29,0,1.193431," ","integrate((1-2*x)*(3+5*x)^3/(2+3*x)^8,x, algorithm=""giac"")","\frac{81000 \, x^{4} + 132975 \, x^{3} + 61938 \, x^{2} + 642 \, x - 3688}{2916 \, {\left(3 \, x + 2\right)}^{7}}"," ",0,"1/2916*(81000*x^4 + 132975*x^3 + 61938*x^2 + 642*x - 3688)/(3*x + 2)^7","A",0
1192,1,54,0,1.204822," ","integrate((5-2*x)^6*(2+3*x)^3*(-16+33*x),x, algorithm=""giac"")","5184 \, x^{11} - 76896 \, x^{10} + 452304 \, x^{9} - 1256376 \, x^{8} + 1235404 \, x^{7} + 1497230 \, x^{6} - 3816225 \, x^{5} - \frac{98125}{2} \, x^{4} + 3987500 \, x^{3} - 37500 \, x^{2} - 2000000 \, x"," ",0,"5184*x^11 - 76896*x^10 + 452304*x^9 - 1256376*x^8 + 1235404*x^7 + 1497230*x^6 - 3816225*x^5 - 98125/2*x^4 + 3987500*x^3 - 37500*x^2 - 2000000*x","B",0
1193,1,43,0,1.143103," ","integrate((1-2*x)*(2+3*x)^6/(3+5*x),x, algorithm=""giac"")","-\frac{1458}{35} \, x^{7} - \frac{7047}{50} \, x^{6} - \frac{106677}{625} \, x^{5} - \frac{152469}{2500} \, x^{4} + \frac{152469}{3125} \, x^{3} + \frac{1777779}{31250} \, x^{2} + \frac{1666663}{78125} \, x + \frac{11}{390625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-1458/35*x^7 - 7047/50*x^6 - 106677/625*x^5 - 152469/2500*x^4 + 152469/3125*x^3 + 1777779/31250*x^2 + 1666663/78125*x + 11/390625*log(abs(5*x + 3))","A",0
1194,1,38,0,1.186798," ","integrate((1-2*x)*(2+3*x)^5/(3+5*x),x, algorithm=""giac"")","-\frac{81}{5} \, x^{6} - \frac{5427}{125} \, x^{5} - \frac{17469}{500} \, x^{4} + \frac{2469}{625} \, x^{3} + \frac{127779}{6250} \, x^{2} + \frac{166663}{15625} \, x + \frac{11}{78125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-81/5*x^6 - 5427/125*x^5 - 17469/500*x^4 + 2469/625*x^3 + 127779/6250*x^2 + 166663/15625*x + 11/78125*log(abs(5*x + 3))","A",0
1195,1,33,0,1.222031," ","integrate((1-2*x)*(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","-\frac{162}{25} \, x^{5} - \frac{1269}{100} \, x^{4} - \frac{531}{125} \, x^{3} + \frac{7779}{1250} \, x^{2} + \frac{16663}{3125} \, x + \frac{11}{15625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-162/25*x^5 - 1269/100*x^4 - 531/125*x^3 + 7779/1250*x^2 + 16663/3125*x + 11/15625*log(abs(5*x + 3))","A",0
1196,1,28,0,1.246335," ","integrate((1-2*x)*(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","-\frac{27}{10} \, x^{4} - \frac{81}{25} \, x^{3} + \frac{279}{250} \, x^{2} + \frac{1663}{625} \, x + \frac{11}{3125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-27/10*x^4 - 81/25*x^3 + 279/250*x^2 + 1663/625*x + 11/3125*log(abs(5*x + 3))","A",0
1197,1,23,0,1.164467," ","integrate((1-2*x)*(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","-\frac{6}{5} \, x^{3} - \frac{21}{50} \, x^{2} + \frac{163}{125} \, x + \frac{11}{625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-6/5*x^3 - 21/50*x^2 + 163/125*x + 11/625*log(abs(5*x + 3))","A",0
1198,1,18,0,1.215430," ","integrate((1-2*x)*(2+3*x)/(3+5*x),x, algorithm=""giac"")","-\frac{3}{5} \, x^{2} + \frac{13}{25} \, x + \frac{11}{125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-3/5*x^2 + 13/25*x + 11/125*log(abs(5*x + 3))","A",0
1199,1,13,0,1.242870," ","integrate((1-2*x)/(3+5*x),x, algorithm=""giac"")","-\frac{2}{5} \, x + \frac{11}{25} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-2/5*x + 11/25*log(abs(5*x + 3))","A",0
1200,1,19,0,1.198207," ","integrate((1-2*x)/(2+3*x)/(3+5*x),x, algorithm=""giac"")","\frac{11}{5} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{7}{3} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"11/5*log(abs(5*x + 3)) - 7/3*log(abs(3*x + 2))","A",0
1201,1,25,0,1.173850," ","integrate((1-2*x)/(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{7}{3 \, {\left(3 \, x + 2\right)}} + 11 \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right)"," ",0,"7/3/(3*x + 2) + 11*log(abs(-1/(3*x + 2) + 5))","A",0
1202,1,33,0,1.222042," ","integrate((1-2*x)/(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","\frac{198 \, x + 139}{6 \, {\left(3 \, x + 2\right)}^{2}} + 55 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 55 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/6*(198*x + 139)/(3*x + 2)^2 + 55*log(abs(5*x + 3)) - 55*log(abs(3*x + 2))","A",0
1203,1,38,0,1.216413," ","integrate((1-2*x)/(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","\frac{8910 \, x^{2} + 12177 \, x + 4172}{18 \, {\left(3 \, x + 2\right)}^{3}} + 275 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 275 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/18*(8910*x^2 + 12177*x + 4172)/(3*x + 2)^3 + 275*log(abs(5*x + 3)) - 275*log(abs(3*x + 2))","A",0
1204,1,52,0,1.167781," ","integrate((1-2*x)/(2+3*x)^5/(3+5*x),x, algorithm=""giac"")","\frac{275}{3 \, x + 2} + \frac{55}{2 \, {\left(3 \, x + 2\right)}^{2}} + \frac{11}{3 \, {\left(3 \, x + 2\right)}^{3}} + \frac{7}{12 \, {\left(3 \, x + 2\right)}^{4}} + 1375 \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right)"," ",0,"275/(3*x + 2) + 55/2/(3*x + 2)^2 + 11/3/(3*x + 2)^3 + 7/12/(3*x + 2)^4 + 1375*log(abs(-1/(3*x + 2) + 5))","A",0
1205,1,48,0,1.149015," ","integrate((1-2*x)/(2+3*x)^6/(3+5*x),x, algorithm=""giac"")","\frac{2227500 \, x^{4} + 6014250 \, x^{3} + 6091800 \, x^{2} + 2743565 \, x + 463586}{20 \, {\left(3 \, x + 2\right)}^{5}} + 6875 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 6875 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/20*(2227500*x^4 + 6014250*x^3 + 6091800*x^2 + 2743565*x + 463586)/(3*x + 2)^5 + 6875*log(abs(5*x + 3)) - 6875*log(abs(3*x + 2))","A",0
1206,1,53,0,1.170684," ","integrate((1-2*x)/(2+3*x)^7/(3+5*x),x, algorithm=""giac"")","\frac{300712500 \, x^{5} + 1012398750 \, x^{4} + 1363675500 \, x^{3} + 918643275 \, x^{2} + 309504888 \, x + 41722762}{180 \, {\left(3 \, x + 2\right)}^{6}} + 34375 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 34375 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/180*(300712500*x^5 + 1012398750*x^4 + 1363675500*x^3 + 918643275*x^2 + 309504888*x + 41722762)/(3*x + 2)^6 + 34375*log(abs(5*x + 3)) - 34375*log(abs(3*x + 2))","A",0
1207,1,93,0,1.169581," ","integrate((1-2*x)*(2+3*x)^7/(3+5*x)^2,x, algorithm=""giac"")","\frac{3}{273437500} \, {\left(5 \, x + 3\right)}^{7} {\left(\frac{107730}{5 \, x + 3} + \frac{428652}{{\left(5 \, x + 3\right)}^{2}} + \frac{588735}{{\left(5 \, x + 3\right)}^{3}} + \frac{455700}{{\left(5 \, x + 3\right)}^{4}} + \frac{233730}{{\left(5 \, x + 3\right)}^{5}} + \frac{95060}{{\left(5 \, x + 3\right)}^{6}} - 29160\right)} - \frac{11}{1953125 \, {\left(5 \, x + 3\right)}} - \frac{229}{1953125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"3/273437500*(5*x + 3)^7*(107730/(5*x + 3) + 428652/(5*x + 3)^2 + 588735/(5*x + 3)^3 + 455700/(5*x + 3)^4 + 233730/(5*x + 3)^5 + 95060/(5*x + 3)^6 - 29160) - 11/1953125/(5*x + 3) - 229/1953125*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1208,1,84,0,1.197153," ","integrate((1-2*x)*(2+3*x)^6/(3+5*x)^2,x, algorithm=""giac"")","\frac{9}{1953125} \, {\left(5 \, x + 3\right)}^{6} {\left(\frac{567}{5 \, x + 3} + \frac{1890}{{\left(5 \, x + 3\right)}^{2}} + \frac{2275}{{\left(5 \, x + 3\right)}^{3}} + \frac{1575}{{\left(5 \, x + 3\right)}^{4}} + \frac{805}{{\left(5 \, x + 3\right)}^{5}} - 135\right)} - \frac{11}{390625 \, {\left(5 \, x + 3\right)}} - \frac{196}{390625} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"9/1953125*(5*x + 3)^6*(567/(5*x + 3) + 1890/(5*x + 3)^2 + 2275/(5*x + 3)^3 + 1575/(5*x + 3)^4 + 805/(5*x + 3)^5 - 135) - 11/390625/(5*x + 3) - 196/390625*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1209,1,75,0,1.204506," ","integrate((1-2*x)*(2+3*x)^5/(3+5*x)^2,x, algorithm=""giac"")","\frac{3}{1562500} \, {\left(5 \, x + 3\right)}^{5} {\left(\frac{3105}{5 \, x + 3} + \frac{8700}{{\left(5 \, x + 3\right)}^{2}} + \frac{9300}{{\left(5 \, x + 3\right)}^{3}} + \frac{6400}{{\left(5 \, x + 3\right)}^{4}} - 648\right)} - \frac{11}{78125 \, {\left(5 \, x + 3\right)}} - \frac{163}{78125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"3/1562500*(5*x + 3)^5*(3105/(5*x + 3) + 8700/(5*x + 3)^2 + 9300/(5*x + 3)^3 + 6400/(5*x + 3)^4 - 648) - 11/78125/(5*x + 3) - 163/78125*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1210,1,66,0,1.222933," ","integrate((1-2*x)*(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","\frac{3}{31250} \, {\left(5 \, x + 3\right)}^{4} {\left(\frac{150}{5 \, x + 3} + \frac{360}{{\left(5 \, x + 3\right)}^{2}} + \frac{380}{{\left(5 \, x + 3\right)}^{3}} - 27\right)} - \frac{11}{15625 \, {\left(5 \, x + 3\right)}} - \frac{26}{3125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"3/31250*(5*x + 3)^4*(150/(5*x + 3) + 360/(5*x + 3)^2 + 380/(5*x + 3)^3 - 27) - 11/15625/(5*x + 3) - 26/3125*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1211,1,57,0,1.145015," ","integrate((1-2*x)*(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","\frac{9}{6250} \, {\left(5 \, x + 3\right)}^{3} {\left(\frac{27}{5 \, x + 3} + \frac{62}{{\left(5 \, x + 3\right)}^{2}} - 4\right)} - \frac{11}{3125 \, {\left(5 \, x + 3\right)}} - \frac{97}{3125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"9/6250*(5*x + 3)^3*(27/(5*x + 3) + 62/(5*x + 3)^2 - 4) - 11/3125/(5*x + 3) - 97/3125*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1212,1,48,0,1.170529," ","integrate((1-2*x)*(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","\frac{3}{625} \, {\left(5 \, x + 3\right)}^{2} {\left(\frac{29}{5 \, x + 3} - 3\right)} - \frac{11}{625 \, {\left(5 \, x + 3\right)}} - \frac{64}{625} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"3/625*(5*x + 3)^2*(29/(5*x + 3) - 3) - 11/625/(5*x + 3) - 64/625*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1213,1,32,0,1.145332," ","integrate((1-2*x)*(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{6}{25} \, x - \frac{11}{125 \, {\left(5 \, x + 3\right)}} - \frac{31}{125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{18}{125}"," ",0,"-6/25*x - 11/125/(5*x + 3) - 31/125*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 18/125","A",0
1214,1,28,0,1.169745," ","integrate((1-2*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{11}{25 \, {\left(5 \, x + 3\right)}} + \frac{2}{25} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"-11/25/(5*x + 3) + 2/25*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1215,1,25,0,1.205554," ","integrate((1-2*x)/(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{11}{5 \, {\left(5 \, x + 3\right)}} + 7 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-11/5/(5*x + 3) + 7*log(abs(-1/(5*x + 3) - 3))","A",0
1216,1,38,0,1.261704," ","integrate((1-2*x)/(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{11}{5 \, x + 3} + \frac{105}{\frac{1}{5 \, x + 3} + 3} + 68 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-11/(5*x + 3) + 105/(1/(5*x + 3) + 3) + 68*log(abs(-1/(5*x + 3) - 3))","A",0
1217,1,49,0,1.306997," ","integrate((1-2*x)/(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{55}{5 \, x + 3} + \frac{15 \, {\left(\frac{206}{5 \, x + 3} + 513\right)}}{2 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{2}} + 505 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-55/(5*x + 3) + 15/2*(206/(5*x + 3) + 513)/(1/(5*x + 3) + 3)^2 + 505*log(abs(-1/(5*x + 3) - 3))","A",0
1218,1,58,0,1.197600," ","integrate((1-2*x)/(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","-\frac{275}{5 \, x + 3} + \frac{225 \, {\left(\frac{339}{5 \, x + 3} + \frac{68}{{\left(5 \, x + 3\right)}^{2}} + 440\right)}}{{\left(\frac{1}{5 \, x + 3} + 3\right)}^{3}} + 3350 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-275/(5*x + 3) + 225*(339/(5*x + 3) + 68/(5*x + 3)^2 + 440)/(1/(5*x + 3) + 3)^3 + 3350*log(abs(-1/(5*x + 3) - 3))","A",0
1219,1,67,0,1.188969," ","integrate((1-2*x)/(2+3*x)^5/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1375}{5 \, x + 3} + \frac{375 \, {\left(\frac{26268}{5 \, x + 3} + \frac{10116}{{\left(5 \, x + 3\right)}^{2}} + \frac{1352}{{\left(5 \, x + 3\right)}^{3}} + 23319\right)}}{4 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{4}} + 20875 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-1375/(5*x + 3) + 375/4*(26268/(5*x + 3) + 10116/(5*x + 3)^2 + 1352/(5*x + 3)^3 + 23319)/(1/(5*x + 3) + 3)^4 + 20875*log(abs(-1/(5*x + 3) - 3))","A",0
1220,1,76,0,1.214548," ","integrate((1-2*x)/(2+3*x)^6/(3+5*x)^2,x, algorithm=""giac"")","-\frac{6875}{5 \, x + 3} + \frac{1875 \, {\left(\frac{34866}{5 \, x + 3} + \frac{19635}{{\left(5 \, x + 3\right)}^{2}} + \frac{5040}{{\left(5 \, x + 3\right)}^{3}} + \frac{505}{{\left(5 \, x + 3\right)}^{4}} + 23625\right)}}{{\left(\frac{1}{5 \, x + 3} + 3\right)}^{5}} + 125000 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-6875/(5*x + 3) + 1875*(34866/(5*x + 3) + 19635/(5*x + 3)^2 + 5040/(5*x + 3)^3 + 505/(5*x + 3)^4 + 23625)/(1/(5*x + 3) + 3)^5 + 125000*log(abs(-1/(5*x + 3) - 3))","A",0
1221,1,85,0,1.203006," ","integrate((1-2*x)/(2+3*x)^7/(3+5*x)^2,x, algorithm=""giac"")","-\frac{34375}{5 \, x + 3} + \frac{5625 \, {\left(\frac{1100034}{5 \, x + 3} + \frac{811665}{{\left(5 \, x + 3\right)}^{2}} + \frac{304700}{{\left(5 \, x + 3\right)}^{3}} + \frac{58650}{{\left(5 \, x + 3\right)}^{4}} + \frac{4700}{{\left(5 \, x + 3\right)}^{5}} + 604017\right)}}{4 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{6}} + 728125 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-34375/(5*x + 3) + 5625/4*(1100034/(5*x + 3) + 811665/(5*x + 3)^2 + 304700/(5*x + 3)^3 + 58650/(5*x + 3)^4 + 4700/(5*x + 3)^5 + 604017)/(1/(5*x + 3) + 3)^6 + 728125*log(abs(-1/(5*x + 3) - 3))","A",0
1222,1,52,0,1.185622," ","integrate((1-2*x)*(2+3*x)^7/(3+5*x)^3,x, algorithm=""giac"")","-\frac{729}{125} \, x^{6} - \frac{51759}{3125} \, x^{5} - \frac{181521}{12500} \, x^{4} + \frac{2052}{3125} \, x^{3} + \frac{129654}{15625} \, x^{2} + \frac{1851147}{390625} \, x - \frac{458 \, x + 277}{781250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{2037}{1953125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-729/125*x^6 - 51759/3125*x^5 - 181521/12500*x^4 + 2052/3125*x^3 + 129654/15625*x^2 + 1851147/390625*x - 1/781250*(458*x + 277)/(5*x + 3)^2 + 2037/1953125*log(abs(5*x + 3))","A",0
1223,1,47,0,1.194339," ","integrate((1-2*x)*(2+3*x)^6/(3+5*x)^3,x, algorithm=""giac"")","-\frac{1458}{625} \, x^{5} - \frac{12393}{2500} \, x^{4} - \frac{6399}{3125} \, x^{3} + \frac{297}{125} \, x^{2} + \frac{36936}{15625} \, x - \frac{1960 \, x + 1187}{781250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{1449}{390625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-1458/625*x^5 - 12393/2500*x^4 - 6399/3125*x^3 + 297/125*x^2 + 36936/15625*x - 1/781250*(1960*x + 1187)/(5*x + 3)^2 + 1449/390625*log(abs(5*x + 3))","A",0
1224,1,42,0,1.137855," ","integrate((1-2*x)*(2+3*x)^5/(3+5*x)^3,x, algorithm=""giac"")","-\frac{243}{250} \, x^{4} - \frac{837}{625} \, x^{3} + \frac{1971}{6250} \, x^{2} + \frac{3636}{3125} \, x - \frac{1630 \, x + 989}{156250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{192}{15625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-243/250*x^4 - 837/625*x^3 + 1971/6250*x^2 + 3636/3125*x - 1/156250*(1630*x + 989)/(5*x + 3)^2 + 192/15625*log(abs(5*x + 3))","A",0
1225,1,37,0,1.311033," ","integrate((1-2*x)*(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","-\frac{54}{125} \, x^{3} - \frac{297}{1250} \, x^{2} + \frac{1647}{3125} \, x - \frac{1300 \, x + 791}{31250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{114}{3125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-54/125*x^3 - 297/1250*x^2 + 1647/3125*x - 1/31250*(1300*x + 791)/(5*x + 3)^2 + 114/3125*log(abs(5*x + 3))","A",0
1226,1,32,0,1.167337," ","integrate((1-2*x)*(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{27}{125} \, x^{2} + \frac{81}{625} \, x - \frac{970 \, x + 593}{6250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{279}{3125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-27/125*x^2 + 81/625*x - 1/6250*(970*x + 593)/(5*x + 3)^2 + 279/3125*log(abs(5*x + 3))","A",0
1227,1,27,0,1.190083," ","integrate((1-2*x)*(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","-\frac{18}{125} \, x - \frac{128 \, x + 79}{250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{87}{625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-18/125*x - 1/250*(128*x + 79)/(5*x + 3)^2 + 87/625*log(abs(5*x + 3))","A",0
1228,1,24,0,1.244245," ","integrate((1-2*x)*(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{310 \, x + 197}{250 \, {\left(5 \, x + 3\right)}^{2}} - \frac{6}{125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-1/250*(310*x + 197)/(5*x + 3)^2 - 6/125*log(abs(5*x + 3))","A",0
1229,1,14,0,1.184356," ","integrate((1-2*x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{20 \, x + 1}{50 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"1/50*(20*x + 1)/(5*x + 3)^2","A",0
1230,1,33,0,1.228871," ","integrate((1-2*x)/(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{350 \, x + 199}{10 \, {\left(5 \, x + 3\right)}^{2}} + 21 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 21 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/10*(350*x + 199)/(5*x + 3)^2 + 21*log(abs(5*x + 3)) - 21*log(abs(3*x + 2))","A",0
1231,1,49,0,1.199749," ","integrate((1-2*x)/(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{21}{3 \, x + 2} - \frac{15 \, {\left(\frac{202}{3 \, x + 2} - 845\right)}}{2 \, {\left(\frac{1}{3 \, x + 2} - 5\right)}^{2}} + 309 \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right)"," ",0,"21/(3*x + 2) - 15/2*(202/(3*x + 2) - 845)/(1/(3*x + 2) - 5)^2 + 309*log(abs(-1/(3*x + 2) + 5))","A",0
1232,1,48,0,1.186578," ","integrate((1-2*x)/(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{91800 \, x^{3} + 174420 \, x^{2} + 110296 \, x + 23213}{2 \, {\left(15 \, x^{2} + 19 \, x + 6\right)}^{2}} + 3060 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 3060 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/2*(91800*x^3 + 174420*x^2 + 110296*x + 23213)/(15*x^2 + 19*x + 6)^2 + 3060*log(abs(5*x + 3)) - 3060*log(abs(3*x + 2))","A",0
1233,1,55,0,1.114110," ","integrate((1-2*x)/(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","\frac{2281500 \, x^{4} + 5855850 \, x^{3} + 5631080 \, x^{2} + 2404363 \, x + 384608}{2 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{3}} + 25350 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 25350 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/2*(2281500*x^4 + 5855850*x^3 + 5631080*x^2 + 2404363*x + 384608)/((5*x + 3)^2*(3*x + 2)^3) + 25350*log(abs(5*x + 3)) - 25350*log(abs(3*x + 2))","A",0
1234,1,76,0,1.127707," ","integrate((1-2*x)/(2+3*x)^5/(3+5*x)^3,x, algorithm=""giac"")","\frac{25350}{3 \, x + 2} - \frac{9375 \, {\left(\frac{80}{3 \, x + 2} - 367\right)}}{2 \, {\left(\frac{1}{3 \, x + 2} - 5\right)}^{2}} + \frac{1530}{{\left(3 \, x + 2\right)}^{2}} + \frac{103}{{\left(3 \, x + 2\right)}^{3}} + \frac{21}{4 \, {\left(3 \, x + 2\right)}^{4}} + 189375 \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right)"," ",0,"25350/(3*x + 2) - 9375/2*(80/(3*x + 2) - 367)/(1/(3*x + 2) - 5)^2 + 1530/(3*x + 2)^2 + 103/(3*x + 2)^3 + 21/4/(3*x + 2)^4 + 189375*log(abs(-1/(3*x + 2) + 5))","A",0
1235,1,65,0,1.229490," ","integrate((1-2*x)/(2+3*x)^6/(3+5*x)^3,x, algorithm=""giac"")","\frac{10707187500 \, x^{6} + 41758031250 \, x^{5} + 67828050000 \, x^{4} + 58733814375 \, x^{3} + 28595335800 \, x^{2} + 7421662135 \, x + 802214966}{20 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{5}} + 1321875 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 1321875 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/20*(10707187500*x^6 + 41758031250*x^5 + 67828050000*x^4 + 58733814375*x^3 + 28595335800*x^2 + 7421662135*x + 802214966)/((5*x + 3)^2*(3*x + 2)^5) + 1321875*log(abs(5*x + 3)) - 1321875*log(abs(3*x + 2))","A",0
1236,1,59,0,1.169212," ","integrate((1-2*x)^2*(2+3*x)^8*(3+5*x),x, algorithm=""giac"")","10935 \, x^{12} + \frac{647352}{11} \, x^{11} + \frac{1307097}{10} \, x^{10} + 144315 \, x^{9} + 59616 \, x^{8} - 39312 \, x^{7} - 62160 \, x^{6} - \frac{134112}{5} \, x^{5} + 3200 \, x^{4} + \frac{24832}{3} \, x^{3} + 3712 \, x^{2} + 768 \, x"," ",0,"10935*x^12 + 647352/11*x^11 + 1307097/10*x^10 + 144315*x^9 + 59616*x^8 - 39312*x^7 - 62160*x^6 - 134112/5*x^5 + 3200*x^4 + 24832/3*x^3 + 3712*x^2 + 768*x","A",0
1237,1,54,0,1.153579," ","integrate((1-2*x)^2*(2+3*x)^7*(3+5*x),x, algorithm=""giac"")","\frac{43740}{11} \, x^{11} + \frac{93312}{5} \, x^{10} + 34587 \, x^{9} + \frac{225423}{8} \, x^{8} + 1242 \, x^{7} - 16254 \, x^{6} - \frac{59304}{5} \, x^{5} - 1292 \, x^{4} + \frac{7712}{3} \, x^{3} + 1568 \, x^{2} + 384 \, x"," ",0,"43740/11*x^11 + 93312/5*x^10 + 34587*x^9 + 225423/8*x^8 + 1242*x^7 - 16254*x^6 - 59304/5*x^5 - 1292*x^4 + 7712/3*x^3 + 1568*x^2 + 384*x","A",0
1238,1,49,0,1.199700," ","integrate((1-2*x)^2*(2+3*x)^6*(3+5*x),x, algorithm=""giac"")","1458 \, x^{10} + 5832 \, x^{9} + \frac{68769}{8} \, x^{8} + 4185 \, x^{7} - 2772 \, x^{6} - 4284 \, x^{5} - 1372 \, x^{4} + \frac{1936}{3} \, x^{3} + 640 \, x^{2} + 192 \, x"," ",0,"1458*x^10 + 5832*x^9 + 68769/8*x^8 + 4185*x^7 - 2772*x^6 - 4284*x^5 - 1372*x^4 + 1936/3*x^3 + 640*x^2 + 192*x","A",0
1239,1,44,0,1.230516," ","integrate((1-2*x)^2*(2+3*x)^5*(3+5*x),x, algorithm=""giac"")","540 \, x^{9} + 1782 \, x^{8} + 1917 \, x^{7} + \frac{273}{2} \, x^{6} - 1218 \, x^{5} - 770 \, x^{4} + \frac{224}{3} \, x^{3} + 248 \, x^{2} + 96 \, x"," ",0,"540*x^9 + 1782*x^8 + 1917*x^7 + 273/2*x^6 - 1218*x^5 - 770*x^4 + 224/3*x^3 + 248*x^2 + 96*x","A",0
1240,1,39,0,1.152429," ","integrate((1-2*x)^2*(2+3*x)^4*(3+5*x),x, algorithm=""giac"")","\frac{405}{2} \, x^{8} + \frac{3672}{7} \, x^{7} + \frac{675}{2} \, x^{6} - \frac{1077}{5} \, x^{5} - 328 \, x^{4} - \frac{152}{3} \, x^{3} + 88 \, x^{2} + 48 \, x"," ",0,"405/2*x^8 + 3672/7*x^7 + 675/2*x^6 - 1077/5*x^5 - 328*x^4 - 152/3*x^3 + 88*x^2 + 48*x","A",0
1241,1,34,0,1.157490," ","integrate((1-2*x)^2*(2+3*x)^3*(3+5*x),x, algorithm=""giac"")","\frac{540}{7} \, x^{7} + 144 \, x^{6} + \frac{99}{5} \, x^{5} - \frac{425}{4} \, x^{4} - \frac{154}{3} \, x^{3} + 26 \, x^{2} + 24 \, x"," ",0,"540/7*x^7 + 144*x^6 + 99/5*x^5 - 425/4*x^4 - 154/3*x^3 + 26*x^2 + 24*x","A",0
1242,1,29,0,1.254341," ","integrate((1-2*x)^2*(2+3*x)^2*(3+5*x),x, algorithm=""giac"")","30 \, x^{6} + \frac{168}{5} \, x^{5} - \frac{79}{4} \, x^{4} - \frac{89}{3} \, x^{3} + 4 \, x^{2} + 12 \, x"," ",0,"30*x^6 + 168/5*x^5 - 79/4*x^4 - 89/3*x^3 + 4*x^2 + 12*x","A",0
1243,1,24,0,1.211087," ","integrate((1-2*x)^2*(2+3*x)*(3+5*x),x, algorithm=""giac"")","12 \, x^{5} + 4 \, x^{4} - \frac{37}{3} \, x^{3} - \frac{5}{2} \, x^{2} + 6 \, x"," ",0,"12*x^5 + 4*x^4 - 37/3*x^3 - 5/2*x^2 + 6*x","A",0
1244,1,19,0,1.208162," ","integrate((1-2*x)^2*(3+5*x),x, algorithm=""giac"")","5 \, x^{4} - \frac{8}{3} \, x^{3} - \frac{7}{2} \, x^{2} + 3 \, x"," ",0,"5*x^4 - 8/3*x^3 - 7/2*x^2 + 3*x","A",0
1245,1,23,0,1.180370," ","integrate((1-2*x)^2*(3+5*x)/(2+3*x),x, algorithm=""giac"")","\frac{20}{9} \, x^{3} - \frac{32}{9} \, x^{2} + \frac{65}{27} \, x - \frac{49}{81} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"20/9*x^3 - 32/9*x^2 + 65/27*x - 49/81*log(abs(3*x + 2))","A",0
1246,1,48,0,1.145217," ","integrate((1-2*x)^2*(3+5*x)/(2+3*x)^2,x, algorithm=""giac"")","-\frac{2}{81} \, {\left(3 \, x + 2\right)}^{2} {\left(\frac{72}{3 \, x + 2} - 5\right)} + \frac{49}{81 \, {\left(3 \, x + 2\right)}} - \frac{91}{27} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right)"," ",0,"-2/81*(3*x + 2)^2*(72/(3*x + 2) - 5) + 49/81/(3*x + 2) - 91/27*log(1/3*abs(3*x + 2)/(3*x + 2)^2)","A",0
1247,1,27,0,1.136617," ","integrate((1-2*x)^2*(3+5*x)/(2+3*x)^3,x, algorithm=""giac"")","\frac{20}{27} \, x - \frac{7 \, {\left(234 \, x + 149\right)}}{162 \, {\left(3 \, x + 2\right)}^{2}} - \frac{16}{9} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"20/27*x - 7/162*(234*x + 149)/(3*x + 2)^2 - 16/9*log(abs(3*x + 2))","A",0
1248,1,29,0,1.164641," ","integrate((1-2*x)^2*(3+5*x)/(2+3*x)^4,x, algorithm=""giac"")","\frac{7776 \, x^{2} + 7911 \, x + 1916}{486 \, {\left(3 \, x + 2\right)}^{3}} + \frac{20}{81} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/486*(7776*x^2 + 7911*x + 1916)/(3*x + 2)^3 + 20/81*log(abs(3*x + 2))","A",0
1249,1,37,0,1.167021," ","integrate((1-2*x)^2*(3+5*x)/(2+3*x)^5,x, algorithm=""giac"")","-\frac{20}{81 \, {\left(3 \, x + 2\right)}} + \frac{8}{9 \, {\left(3 \, x + 2\right)}^{2}} - \frac{91}{81 \, {\left(3 \, x + 2\right)}^{3}} + \frac{49}{324 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"-20/81/(3*x + 2) + 8/9/(3*x + 2)^2 - 91/81/(3*x + 2)^3 + 49/324/(3*x + 2)^4","A",0
1250,1,24,0,1.198565," ","integrate((1-2*x)^2*(3+5*x)/(2+3*x)^6,x, algorithm=""giac"")","-\frac{1800 \, x^{3} + 720 \, x^{2} - 75 \, x + 98}{540 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"-1/540*(1800*x^3 + 720*x^2 - 75*x + 98)/(3*x + 2)^5","A",0
1251,1,24,0,1.212060," ","integrate((1-2*x)^2*(3+5*x)/(2+3*x)^7,x, algorithm=""giac"")","-\frac{5400 \, x^{3} + 1080 \, x^{2} - 846 \, x + 311}{2430 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"-1/2430*(5400*x^3 + 1080*x^2 - 846*x + 311)/(3*x + 2)^6","A",0
1252,1,24,0,1.162045," ","integrate((1-2*x)^2*(3+5*x)/(2+3*x)^8,x, algorithm=""giac"")","-\frac{1350 \, x^{3} + 108 \, x^{2} - 291 \, x + 88}{810 \, {\left(3 \, x + 2\right)}^{7}}"," ",0,"-1/810*(1350*x^3 + 108*x^2 - 291*x + 88)/(3*x + 2)^7","A",0
1253,1,64,0,1.080388," ","integrate((1-2*x)^2*(2+3*x)^8*(3+5*x)^2,x, algorithm=""giac"")","\frac{656100}{13} \, x^{13} + 302535 \, x^{12} + \frac{8477541}{11} \, x^{11} + \frac{5207733}{5} \, x^{10} + 697905 \, x^{9} + 6858 \, x^{8} - 384336 \, x^{7} - 298240 \, x^{6} - \frac{338336}{5} \, x^{5} + 40640 \, x^{4} + \frac{111616}{3} \, x^{3} + 13056 \, x^{2} + 2304 \, x"," ",0,"656100/13*x^13 + 302535*x^12 + 8477541/11*x^11 + 5207733/5*x^10 + 697905*x^9 + 6858*x^8 - 384336*x^7 - 298240*x^6 - 338336/5*x^5 + 40640*x^4 + 111616/3*x^3 + 13056*x^2 + 2304*x","A",0
1254,1,59,0,1.135180," ","integrate((1-2*x)^2*(2+3*x)^7*(3+5*x)^2,x, algorithm=""giac"")","18225 \, x^{12} + \frac{1064340}{11} \, x^{11} + \frac{2116287}{10} \, x^{10} + 228996 \, x^{9} + \frac{719739}{8} \, x^{8} - 65934 \, x^{7} - 98182 \, x^{6} - \frac{203752}{5} \, x^{5} + 5764 \, x^{4} + \frac{38816}{3} \, x^{3} + 5664 \, x^{2} + 1152 \, x"," ",0,"18225*x^12 + 1064340/11*x^11 + 2116287/10*x^10 + 228996*x^9 + 719739/8*x^8 - 65934*x^7 - 98182*x^6 - 203752/5*x^5 + 5764*x^4 + 38816/3*x^3 + 5664*x^2 + 1152*x","A",0
1255,1,54,0,1.273649," ","integrate((1-2*x)^2*(2+3*x)^6*(3+5*x)^2,x, algorithm=""giac"")","\frac{72900}{11} \, x^{11} + 30618 \, x^{10} + 55701 \, x^{9} + \frac{176391}{4} \, x^{8} + 675 \, x^{7} - 26166 \, x^{6} - 18340 \, x^{5} - 1696 \, x^{4} + \frac{12208}{3} \, x^{3} + 2400 \, x^{2} + 576 \, x"," ",0,"72900/11*x^11 + 30618*x^10 + 55701*x^9 + 176391/4*x^8 + 675*x^7 - 26166*x^6 - 18340*x^5 - 1696*x^4 + 12208/3*x^3 + 2400*x^2 + 576*x","A",0
1256,1,49,0,1.227319," ","integrate((1-2*x)^2*(2+3*x)^5*(3+5*x)^2,x, algorithm=""giac"")","2430 \, x^{10} + 9540 \, x^{9} + \frac{109863}{8} \, x^{8} + 6336 \, x^{7} - \frac{9331}{2} \, x^{6} - 6734 \, x^{5} - 2030 \, x^{4} + \frac{3152}{3} \, x^{3} + 984 \, x^{2} + 288 \, x"," ",0,"2430*x^10 + 9540*x^9 + 109863/8*x^8 + 6336*x^7 - 9331/2*x^6 - 6734*x^5 - 2030*x^4 + 3152/3*x^3 + 984*x^2 + 288*x","A",0
1257,1,44,0,1.208919," ","integrate((1-2*x)^2*(2+3*x)^4*(3+5*x)^2,x, algorithm=""giac"")","900 \, x^{9} + \frac{5805}{2} \, x^{8} + \frac{21141}{7} \, x^{7} + 115 \, x^{6} - \frac{9791}{5} \, x^{5} - 1174 \, x^{4} + \frac{424}{3} \, x^{3} + 384 \, x^{2} + 144 \, x"," ",0,"900*x^9 + 5805/2*x^8 + 21141/7*x^7 + 115*x^6 - 9791/5*x^5 - 1174*x^4 + 424/3*x^3 + 384*x^2 + 144*x","A",0
1258,1,39,0,1.200748," ","integrate((1-2*x)^2*(2+3*x)^3*(3+5*x)^2,x, algorithm=""giac"")","\frac{675}{2} \, x^{8} + \frac{5940}{7} \, x^{7} + \frac{1029}{2} \, x^{6} - \frac{1828}{5} \, x^{5} - \frac{2045}{4} \, x^{4} - \frac{202}{3} \, x^{3} + 138 \, x^{2} + 72 \, x"," ",0,"675/2*x^8 + 5940/7*x^7 + 1029/2*x^6 - 1828/5*x^5 - 2045/4*x^4 - 202/3*x^3 + 138*x^2 + 72*x","A",0
1259,1,34,0,1.476503," ","integrate((1-2*x)^2*(2+3*x)^2*(3+5*x)^2,x, algorithm=""giac"")","\frac{900}{7} \, x^{7} + 230 \, x^{6} + \frac{109}{5} \, x^{5} - \frac{341}{2} \, x^{4} - \frac{227}{3} \, x^{3} + 42 \, x^{2} + 36 \, x"," ",0,"900/7*x^7 + 230*x^6 + 109/5*x^5 - 341/2*x^4 - 227/3*x^3 + 42*x^2 + 36*x","A",0
1260,1,29,0,1.489026," ","integrate((1-2*x)^2*(2+3*x)*(3+5*x)^2,x, algorithm=""giac"")","50 \, x^{6} + 52 \, x^{5} - \frac{137}{4} \, x^{4} - \frac{136}{3} \, x^{3} + \frac{15}{2} \, x^{2} + 18 \, x"," ",0,"50*x^6 + 52*x^5 - 137/4*x^4 - 136/3*x^3 + 15/2*x^2 + 18*x","A",0
1261,1,24,0,1.420521," ","integrate((1-2*x)^2*(3+5*x)^2,x, algorithm=""giac"")","20 \, x^{5} + 5 \, x^{4} - \frac{59}{3} \, x^{3} - 3 \, x^{2} + 9 \, x"," ",0,"20*x^5 + 5*x^4 - 59/3*x^3 - 3*x^2 + 9*x","A",0
1262,1,28,0,1.535441," ","integrate((1-2*x)^2*(3+5*x)^2/(2+3*x),x, algorithm=""giac"")","\frac{25}{3} \, x^{4} - \frac{140}{27} \, x^{3} - \frac{251}{54} \, x^{2} + \frac{340}{81} \, x + \frac{49}{243} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"25/3*x^4 - 140/27*x^3 - 251/54*x^2 + 340/81*x + 49/243*log(abs(3*x + 2))","A",0
1263,1,57,0,0.935363," ","integrate((1-2*x)^2*(3+5*x)^2/(2+3*x)^2,x, algorithm=""giac"")","-\frac{1}{729} \, {\left(3 \, x + 2\right)}^{3} {\left(\frac{1110}{3 \, x + 2} - \frac{4527}{{\left(3 \, x + 2\right)}^{2}} - 100\right)} - \frac{49}{243 \, {\left(3 \, x + 2\right)}} + \frac{518}{243} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right)"," ",0,"-1/729*(3*x + 2)^3*(1110/(3*x + 2) - 4527/(3*x + 2)^2 - 100) - 49/243/(3*x + 2) + 518/243*log(1/3*abs(3*x + 2)/(3*x + 2)^2)","A",0
1264,1,32,0,0.811565," ","integrate((1-2*x)^2*(3+5*x)^2/(2+3*x)^3,x, algorithm=""giac"")","\frac{50}{27} \, x^{2} - \frac{20}{3} \, x + \frac{7 \, {\left(444 \, x + 289\right)}}{486 \, {\left(3 \, x + 2\right)}^{2}} + \frac{503}{81} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"50/27*x^2 - 20/3*x + 7/486*(444*x + 289)/(3*x + 2)^2 + 503/81*log(abs(3*x + 2))","A",0
1265,1,32,0,0.919131," ","integrate((1-2*x)^2*(3+5*x)^2/(2+3*x)^4,x, algorithm=""giac"")","\frac{100}{81} \, x - \frac{40743 \, x^{2} + 51993 \, x + 16603}{729 \, {\left(3 \, x + 2\right)}^{3}} - \frac{740}{243} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"100/81*x - 1/729*(40743*x^2 + 51993*x + 16603)/(3*x + 2)^3 - 740/243*log(abs(3*x + 2))","A",0
1266,1,55,0,0.969352," ","integrate((1-2*x)^2*(3+5*x)^2/(2+3*x)^5,x, algorithm=""giac"")","\frac{740}{243 \, {\left(3 \, x + 2\right)}} - \frac{503}{162 \, {\left(3 \, x + 2\right)}^{2}} + \frac{518}{729 \, {\left(3 \, x + 2\right)}^{3}} - \frac{49}{972 \, {\left(3 \, x + 2\right)}^{4}} - \frac{100}{243} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right)"," ",0,"740/243/(3*x + 2) - 503/162/(3*x + 2)^2 + 518/729/(3*x + 2)^3 - 49/972/(3*x + 2)^4 - 100/243*log(1/3*abs(3*x + 2)/(3*x + 2)^2)","A",0
1267,1,29,0,0.915252," ","integrate((1-2*x)^2*(3+5*x)^2/(2+3*x)^6,x, algorithm=""giac"")","-\frac{81000 \, x^{4} + 116100 \, x^{3} + 61470 \, x^{2} + 19275 \, x + 4028}{2430 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"-1/2430*(81000*x^4 + 116100*x^3 + 61470*x^2 + 19275*x + 4028)/(3*x + 2)^5","A",0
1268,1,29,0,0.993406," ","integrate((1-2*x)^2*(3+5*x)^2/(2+3*x)^7,x, algorithm=""giac"")","-\frac{243000 \, x^{4} + 248400 \, x^{3} + 52515 \, x^{2} + 8172 \, x + 8198}{14580 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"-1/14580*(243000*x^4 + 248400*x^3 + 52515*x^2 + 8172*x + 8198)/(3*x + 2)^6","A",0
1269,1,29,0,1.126826," ","integrate((1-2*x)^2*(3+5*x)^2/(2+3*x)^8,x, algorithm=""giac"")","-\frac{40500 \, x^{4} + 33075 \, x^{3} - 1107 \, x^{2} - 1461 \, x + 1423}{3645 \, {\left(3 \, x + 2\right)}^{7}}"," ",0,"-1/3645*(40500*x^4 + 33075*x^3 - 1107*x^2 - 1461*x + 1423)/(3*x + 2)^7","A",0
1270,1,79,0,0.952768," ","integrate((1-2*x)^2*(2+3*x)^10*(3+5*x)^3,x, algorithm=""giac"")","\frac{7381125}{4} \, x^{16} + 14696640 \, x^{15} + \frac{734077485}{14} \, x^{14} + \frac{1417418757}{13} \, x^{13} + \frac{569034801}{4} \, x^{12} + \frac{1233925083}{11} \, x^{11} + 36043704 \, x^{10} - 26237700 \, x^{9} - 40113468 \, x^{8} - \frac{154612896}{7} \, x^{7} - \frac{10627328}{3} \, x^{6} + 3185792 \, x^{5} + 2644160 \, x^{4} + 1000704 \, x^{3} + 221184 \, x^{2} + 27648 \, x"," ",0,"7381125/4*x^16 + 14696640*x^15 + 734077485/14*x^14 + 1417418757/13*x^13 + 569034801/4*x^12 + 1233925083/11*x^11 + 36043704*x^10 - 26237700*x^9 - 40113468*x^8 - 154612896/7*x^7 - 10627328/3*x^6 + 3185792*x^5 + 2644160*x^4 + 1000704*x^3 + 221184*x^2 + 27648*x","A",0
1271,1,74,0,0.837721," ","integrate((1-2*x)^2*(2+3*x)^9*(3+5*x)^3,x, algorithm=""giac"")","656100 \, x^{15} + \frac{33461100}{7} \, x^{14} + \frac{200077695}{13} \, x^{13} + \frac{113029263}{4} \, x^{12} + \frac{342976275}{11} \, x^{11} + \frac{182657511}{10} \, x^{10} - 180666 \, x^{9} - 9703638 \, x^{8} - \frac{55216512}{7} \, x^{7} - \frac{7363312}{3} \, x^{6} + \frac{2732864}{5} \, x^{5} + 871936 \, x^{4} + 400128 \, x^{3} + 100224 \, x^{2} + 13824 \, x"," ",0,"656100*x^15 + 33461100/7*x^14 + 200077695/13*x^13 + 113029263/4*x^12 + 342976275/11*x^11 + 182657511/10*x^10 - 180666*x^9 - 9703638*x^8 - 55216512/7*x^7 - 7363312/3*x^6 + 2732864/5*x^5 + 871936*x^4 + 400128*x^3 + 100224*x^2 + 13824*x","A",0
1272,1,69,0,0.911000," ","integrate((1-2*x)^2*(2+3*x)^8*(3+5*x)^3,x, algorithm=""giac"")","\frac{1640250}{7} \, x^{14} + \frac{20120400}{13} \, x^{13} + \frac{17759655}{4} \, x^{12} + \frac{77509953}{11} \, x^{11} + \frac{62652123}{10} \, x^{10} + 2124195 \, x^{9} - 1660896 \, x^{8} - \frac{17018256}{7} \, x^{7} - \frac{3530000}{3} \, x^{6} - \frac{202208}{5} \, x^{5} + 261440 \, x^{4} + 155136 \, x^{3} + 44928 \, x^{2} + 6912 \, x"," ",0,"1640250/7*x^14 + 20120400/13*x^13 + 17759655/4*x^12 + 77509953/11*x^11 + 62652123/10*x^10 + 2124195*x^9 - 1660896*x^8 - 17018256/7*x^7 - 3530000/3*x^6 - 202208/5*x^5 + 261440*x^4 + 155136*x^3 + 44928*x^2 + 6912*x","A",0
1273,1,64,0,0.897239," ","integrate((1-2*x)^2*(2+3*x)^7*(3+5*x)^3,x, algorithm=""giac"")","\frac{1093500}{13} \, x^{13} + 498150 \, x^{12} + \frac{13774455}{11} \, x^{11} + \frac{16653681}{10} \, x^{10} + 1086843 \, x^{9} - \frac{148473}{8} \, x^{8} - 618582 \, x^{7} - \frac{1393018}{3} \, x^{6} - \frac{495976}{5} \, x^{5} + 65812 \, x^{4} + 57696 \, x^{3} + 19872 \, x^{2} + 3456 \, x"," ",0,"1093500/13*x^13 + 498150*x^12 + 13774455/11*x^11 + 16653681/10*x^10 + 1086843*x^9 - 148473/8*x^8 - 618582*x^7 - 1393018/3*x^6 - 495976/5*x^5 + 65812*x^4 + 57696*x^3 + 19872*x^2 + 3456*x","A",0
1274,1,59,0,0.973779," ","integrate((1-2*x)^2*(2+3*x)^6*(3+5*x)^3,x, algorithm=""giac"")","30375 \, x^{12} + \frac{1749600}{11} \, x^{11} + \frac{685017}{2} \, x^{10} + 363093 \, x^{9} + \frac{1081971}{8} \, x^{8} - 110115 \, x^{7} - \frac{464744}{3} \, x^{6} - 61804 \, x^{5} + 10172 \, x^{4} + 20208 \, x^{3} + 8640 \, x^{2} + 1728 \, x"," ",0,"30375*x^12 + 1749600/11*x^11 + 685017/2*x^10 + 363093*x^9 + 1081971/8*x^8 - 110115*x^7 - 464744/3*x^6 - 61804*x^5 + 10172*x^4 + 20208*x^3 + 8640*x^2 + 1728*x","A",0
1275,1,54,0,1.022887," ","integrate((1-2*x)^2*(2+3*x)^5*(3+5*x)^3,x, algorithm=""giac"")","\frac{121500}{11} \, x^{11} + 50220 \, x^{10} + 89655 \, x^{9} + \frac{551349}{8} \, x^{8} - 987 \, x^{7} - \frac{252329}{6} \, x^{6} - 28322 \, x^{5} - 2150 \, x^{4} + 6432 \, x^{3} + 3672 \, x^{2} + 864 \, x"," ",0,"121500/11*x^11 + 50220*x^10 + 89655*x^9 + 551349/8*x^8 - 987*x^7 - 252329/6*x^6 - 28322*x^5 - 2150*x^4 + 6432*x^3 + 3672*x^2 + 864*x","A",0
1276,1,49,0,1.017535," ","integrate((1-2*x)^2*(2+3*x)^4*(3+5*x)^3,x, algorithm=""giac"")","4050 \, x^{10} + 15600 \, x^{9} + \frac{175365}{8} \, x^{8} + \frac{66873}{7} \, x^{7} - \frac{46885}{6} \, x^{6} - \frac{52853}{5} \, x^{5} - 2992 \, x^{4} + 1704 \, x^{3} + 1512 \, x^{2} + 432 \, x"," ",0,"4050*x^10 + 15600*x^9 + 175365/8*x^8 + 66873/7*x^7 - 46885/6*x^6 - 52853/5*x^5 - 2992*x^4 + 1704*x^3 + 1512*x^2 + 432*x","A",0
1277,1,44,0,0.865915," ","integrate((1-2*x)^2*(2+3*x)^3*(3+5*x)^3,x, algorithm=""giac"")","1500 \, x^{9} + 4725 \, x^{8} + \frac{33255}{7} \, x^{7} + \frac{121}{6} \, x^{6} - \frac{15709}{5} \, x^{5} - \frac{7145}{4} \, x^{4} + 258 \, x^{3} + 594 \, x^{2} + 216 \, x"," ",0,"1500*x^9 + 4725*x^8 + 33255/7*x^7 + 121/6*x^6 - 15709/5*x^5 - 7145/4*x^4 + 258*x^3 + 594*x^2 + 216*x","A",0
1278,1,39,0,0.799867," ","integrate((1-2*x)^2*(2+3*x)^2*(3+5*x)^3,x, algorithm=""giac"")","\frac{1125}{2} \, x^{8} + \frac{9600}{7} \, x^{7} + \frac{4685}{6} \, x^{6} - \frac{3083}{5} \, x^{5} - \frac{3181}{4} \, x^{4} - 87 \, x^{3} + 216 \, x^{2} + 108 \, x"," ",0,"1125/2*x^8 + 9600/7*x^7 + 4685/6*x^6 - 3083/5*x^5 - 3181/4*x^4 - 87*x^3 + 216*x^2 + 108*x","A",0
1279,1,34,0,0.942355," ","integrate((1-2*x)^2*(2+3*x)*(3+5*x)^3,x, algorithm=""giac"")","\frac{1500}{7} \, x^{7} + \frac{1100}{3} \, x^{6} + 19 \, x^{5} - \frac{1091}{4} \, x^{4} - 111 \, x^{3} + \frac{135}{2} \, x^{2} + 54 \, x"," ",0,"1500/7*x^7 + 1100/3*x^6 + 19*x^5 - 1091/4*x^4 - 111*x^3 + 135/2*x^2 + 54*x","A",0
1280,1,29,0,0.963743," ","integrate((1-2*x)^2*(3+5*x)^3,x, algorithm=""giac"")","\frac{250}{3} \, x^{6} + 80 \, x^{5} - \frac{235}{4} \, x^{4} - 69 \, x^{3} + \frac{27}{2} \, x^{2} + 27 \, x"," ",0,"250/3*x^6 + 80*x^5 - 235/4*x^4 - 69*x^3 + 27/2*x^2 + 27*x","A",0
1281,1,33,0,0.986689," ","integrate((1-2*x)^2*(3+5*x)^3/(2+3*x),x, algorithm=""giac"")","\frac{100}{3} \, x^{5} + \frac{50}{9} \, x^{4} - \frac{2515}{81} \, x^{3} - \frac{559}{162} \, x^{2} + \frac{3305}{243} \, x - \frac{49}{729} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"100/3*x^5 + 50/9*x^4 - 2515/81*x^3 - 559/162*x^2 + 3305/243*x - 49/729*log(abs(3*x + 2))","A",0
1282,1,66,0,1.030516," ","integrate((1-2*x)^2*(3+5*x)^3/(2+3*x)^2,x, algorithm=""giac"")","-\frac{1}{4374} \, {\left(3 \, x + 2\right)}^{4} {\left(\frac{7600}{3 \, x + 2} - \frac{24855}{{\left(3 \, x + 2\right)}^{2}} + \frac{24594}{{\left(3 \, x + 2\right)}^{3}} - 750\right)} + \frac{49}{729 \, {\left(3 \, x + 2\right)}} - \frac{763}{729} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right)"," ",0,"-1/4374*(3*x + 2)^4*(7600/(3*x + 2) - 24855/(3*x + 2)^2 + 24594/(3*x + 2)^3 - 750) + 49/729/(3*x + 2) - 763/729*log(1/3*abs(3*x + 2)/(3*x + 2)^2)","A",0
1283,1,37,0,0.881226," ","integrate((1-2*x)^2*(3+5*x)^3/(2+3*x)^3,x, algorithm=""giac"")","\frac{500}{81} \, x^{3} - \frac{100}{9} \, x^{2} + \frac{895}{81} \, x - \frac{7 \, {\left(218 \, x + 143\right)}}{486 \, {\left(3 \, x + 2\right)}^{2}} - \frac{4099}{729} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"500/81*x^3 - 100/9*x^2 + 895/81*x - 7/486*(218*x + 143)/(3*x + 2)^2 - 4099/729*log(abs(3*x + 2))","A",0
1284,1,37,0,0.970446," ","integrate((1-2*x)^2*(3+5*x)^3/(2+3*x)^4,x, algorithm=""giac"")","\frac{250}{81} \, x^{2} - \frac{2800}{243} \, x + \frac{221346 \, x^{2} + 288261 \, x + 93896}{4374 \, {\left(3 \, x + 2\right)}^{3}} + \frac{8285}{729} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"250/81*x^2 - 2800/243*x + 1/4374*(221346*x^2 + 288261*x + 93896)/(3*x + 2)^3 + 8285/729*log(abs(3*x + 2))","A",0
1285,1,59,0,1.129575," ","integrate((1-2*x)^2*(3+5*x)^3/(2+3*x)^5,x, algorithm=""giac"")","\frac{500}{243} \, x - \frac{8285}{729 \, {\left(3 \, x + 2\right)}} + \frac{4099}{1458 \, {\left(3 \, x + 2\right)}^{2}} - \frac{763}{2187 \, {\left(3 \, x + 2\right)}^{3}} + \frac{49}{2916 \, {\left(3 \, x + 2\right)}^{4}} + \frac{3800}{729} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right) + \frac{1000}{729}"," ",0,"500/243*x - 8285/729/(3*x + 2) + 4099/1458/(3*x + 2)^2 - 763/2187/(3*x + 2)^3 + 49/2916/(3*x + 2)^4 + 3800/729*log(1/3*abs(3*x + 2)/(3*x + 2)^2) + 1000/729","A",0
1286,1,39,0,0.787800," ","integrate((1-2*x)^2*(3+5*x)^3/(2+3*x)^6,x, algorithm=""giac"")","\frac{18468000 \, x^{4} + 42537150 \, x^{3} + 36564120 \, x^{2} + 13889625 \, x + 1965218}{43740 \, {\left(3 \, x + 2\right)}^{5}} + \frac{500}{729} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/43740*(18468000*x^4 + 42537150*x^3 + 36564120*x^2 + 13889625*x + 1965218)/(3*x + 2)^5 + 500/729*log(abs(3*x + 2))","A",0
1287,1,34,0,0.986110," ","integrate((1-2*x)^2*(3+5*x)^3/(2+3*x)^7,x, algorithm=""giac"")","-\frac{7290000 \, x^{5} + 15066000 \, x^{4} + 12249900 \, x^{3} + 5370435 \, x^{2} + 1510848 \, x + 233482}{43740 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"-1/43740*(7290000*x^5 + 15066000*x^4 + 12249900*x^3 + 5370435*x^2 + 1510848*x + 233482)/(3*x + 2)^6","A",0
1288,1,34,0,0.897369," ","integrate((1-2*x)^2*(3+5*x)^3/(2+3*x)^8,x, algorithm=""giac"")","-\frac{3645000 \, x^{5} + 5994000 \, x^{4} + 3139425 \, x^{3} + 652158 \, x^{2} + 210534 \, x + 76288}{43740 \, {\left(3 \, x + 2\right)}^{7}}"," ",0,"-1/43740*(3645000*x^5 + 5994000*x^4 + 3139425*x^3 + 652158*x^2 + 210534*x + 76288)/(3*x + 2)^7","A",0
1289,1,53,0,0.888659," ","integrate((1-2*x)^2*(2+3*x)^7/(3+5*x),x, algorithm=""giac"")","\frac{972}{5} \, x^{9} + \frac{16767}{25} \, x^{8} + \frac{672867}{875} \, x^{7} + \frac{130383}{1250} \, x^{6} - \frac{7315947}{15625} \, x^{5} - \frac{20577159}{62500} \, x^{4} + \frac{1327159}{78125} \, x^{3} + \frac{80555569}{781250} \, x^{2} + \frac{83333293}{1953125} \, x + \frac{121}{9765625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"972/5*x^9 + 16767/25*x^8 + 672867/875*x^7 + 130383/1250*x^6 - 7315947/15625*x^5 - 20577159/62500*x^4 + 1327159/78125*x^3 + 80555569/781250*x^2 + 83333293/1953125*x + 121/9765625*log(abs(5*x + 3))","A",0
1290,1,48,0,1.110827," ","integrate((1-2*x)^2*(2+3*x)^6/(3+5*x),x, algorithm=""giac"")","\frac{729}{10} \, x^{8} + \frac{34992}{175} \, x^{7} + \frac{35883}{250} \, x^{6} - \frac{228447}{3125} \, x^{5} - \frac{1677159}{12500} \, x^{4} - \frac{422841}{15625} \, x^{3} + \frac{5555569}{156250} \, x^{2} + \frac{8333293}{390625} \, x + \frac{121}{1953125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"729/10*x^8 + 34992/175*x^7 + 35883/250*x^6 - 228447/3125*x^5 - 1677159/12500*x^4 - 422841/15625*x^3 + 5555569/156250*x^2 + 8333293/390625*x + 121/1953125*log(abs(5*x + 3))","A",0
1291,1,43,0,0.996184," ","integrate((1-2*x)^2*(2+3*x)^5/(3+5*x),x, algorithm=""giac"")","\frac{972}{35} \, x^{7} + \frac{1404}{25} \, x^{6} + \frac{7803}{625} \, x^{5} - \frac{102159}{2500} \, x^{4} - \frac{72841}{3125} \, x^{3} + \frac{305569}{31250} \, x^{2} + \frac{833293}{78125} \, x + \frac{121}{390625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"972/35*x^7 + 1404/25*x^6 + 7803/625*x^5 - 102159/2500*x^4 - 72841/3125*x^3 + 305569/31250*x^2 + 833293/78125*x + 121/390625*log(abs(5*x + 3))","A",0
1292,1,38,0,0.934467," ","integrate((1-2*x)^2*(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","\frac{54}{5} \, x^{6} + \frac{1728}{125} \, x^{5} - \frac{3159}{500} \, x^{4} - \frac{7841}{625} \, x^{3} + \frac{5569}{6250} \, x^{2} + \frac{83293}{15625} \, x + \frac{121}{78125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"54/5*x^6 + 1728/125*x^5 - 3159/500*x^4 - 7841/625*x^3 + 5569/6250*x^2 + 83293/15625*x + 121/78125*log(abs(5*x + 3))","A",0
1293,1,33,0,0.864451," ","integrate((1-2*x)^2*(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","\frac{108}{25} \, x^{5} + \frac{54}{25} \, x^{4} - \frac{591}{125} \, x^{3} - \frac{1931}{1250} \, x^{2} + \frac{8293}{3125} \, x + \frac{121}{15625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"108/25*x^5 + 54/25*x^4 - 591/125*x^3 - 1931/1250*x^2 + 8293/3125*x + 121/15625*log(abs(5*x + 3))","A",0
1294,1,28,0,0.896059," ","integrate((1-2*x)^2*(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{9}{5} \, x^{4} - \frac{16}{25} \, x^{3} - \frac{431}{250} \, x^{2} + \frac{793}{625} \, x + \frac{121}{3125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"9/5*x^4 - 16/25*x^3 - 431/250*x^2 + 793/625*x + 121/3125*log(abs(5*x + 3))","A",0
1295,1,23,0,1.000076," ","integrate((1-2*x)^2*(2+3*x)/(3+5*x),x, algorithm=""giac"")","\frac{4}{5} \, x^{3} - \frac{28}{25} \, x^{2} + \frac{43}{125} \, x + \frac{121}{625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"4/5*x^3 - 28/25*x^2 + 43/125*x + 121/625*log(abs(5*x + 3))","A",0
1296,1,18,0,0.926685," ","integrate((1-2*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{2}{5} \, x^{2} - \frac{32}{25} \, x + \frac{121}{125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"2/5*x^2 - 32/25*x + 121/125*log(abs(5*x + 3))","A",0
1297,1,22,0,0.927756," ","integrate((1-2*x)^2/(2+3*x)/(3+5*x),x, algorithm=""giac"")","\frac{4}{15} \, x + \frac{121}{25} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{49}{9} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"4/15*x + 121/25*log(abs(5*x + 3)) - 49/9*log(abs(3*x + 2))","A",0
1298,1,43,0,0.857533," ","integrate((1-2*x)^2/(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{49}{9 \, {\left(3 \, x + 2\right)}} - \frac{4}{45} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right) + \frac{121}{5} \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right)"," ",0,"49/9/(3*x + 2) - 4/45*log(1/3*abs(3*x + 2)/(3*x + 2)^2) + 121/5*log(abs(-1/(3*x + 2) + 5))","A",0
1299,1,33,0,0.874111," ","integrate((1-2*x)^2/(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","\frac{7 \, {\left(186 \, x + 131\right)}}{18 \, {\left(3 \, x + 2\right)}^{2}} + 121 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 121 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"7/18*(186*x + 131)/(3*x + 2)^2 + 121*log(abs(5*x + 3)) - 121*log(abs(3*x + 2))","A",0
1300,1,38,0,0.981854," ","integrate((1-2*x)^2/(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","\frac{58806 \, x^{2} + 80361 \, x + 27536}{54 \, {\left(3 \, x + 2\right)}^{3}} + 605 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 605 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/54*(58806*x^2 + 80361*x + 27536)/(3*x + 2)^3 + 605*log(abs(5*x + 3)) - 605*log(abs(3*x + 2))","A",0
1301,1,52,0,0.856852," ","integrate((1-2*x)^2/(2+3*x)^5/(3+5*x),x, algorithm=""giac"")","\frac{605}{3 \, x + 2} + \frac{121}{2 \, {\left(3 \, x + 2\right)}^{2}} + \frac{217}{27 \, {\left(3 \, x + 2\right)}^{3}} + \frac{49}{36 \, {\left(3 \, x + 2\right)}^{4}} + 3025 \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right)"," ",0,"605/(3*x + 2) + 121/2/(3*x + 2)^2 + 217/27/(3*x + 2)^3 + 49/36/(3*x + 2)^4 + 3025*log(abs(-1/(3*x + 2) + 5))","A",0
1302,1,48,0,0.896703," ","integrate((1-2*x)^2/(2+3*x)^6/(3+5*x),x, algorithm=""giac"")","\frac{44104500 \, x^{4} + 119082150 \, x^{3} + 120617640 \, x^{2} + 54322575 \, x + 9179006}{180 \, {\left(3 \, x + 2\right)}^{5}} + 15125 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 15125 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/180*(44104500*x^4 + 119082150*x^3 + 120617640*x^2 + 54322575*x + 9179006)/(3*x + 2)^5 + 15125*log(abs(5*x + 3)) - 15125*log(abs(3*x + 2))","A",0
1303,1,53,0,0.874804," ","integrate((1-2*x)^2/(2+3*x)^7/(3+5*x),x, algorithm=""giac"")","\frac{1984702500 \, x^{5} + 6681831750 \, x^{4} + 9000258300 \, x^{3} + 6063045615 \, x^{2} + 2042732232 \, x + 275370238}{540 \, {\left(3 \, x + 2\right)}^{6}} + 75625 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 75625 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/540*(1984702500*x^5 + 6681831750*x^4 + 9000258300*x^3 + 6063045615*x^2 + 2042732232*x + 275370238)/(3*x + 2)^6 + 75625*log(abs(5*x + 3)) - 75625*log(abs(3*x + 2))","A",0
1304,1,58,0,0.824268," ","integrate((1-2*x)^2/(2+3*x)^8/(3+5*x),x, algorithm=""giac"")","\frac{29770537500 \, x^{6} + 120074501250 \, x^{5} + 201822192000 \, x^{4} + 180948267225 \, x^{3} + 91271440062 \, x^{2} + 24557875626 \, x + 2753702432}{540 \, {\left(3 \, x + 2\right)}^{7}} + 378125 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 378125 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/540*(29770537500*x^6 + 120074501250*x^5 + 201822192000*x^4 + 180948267225*x^3 + 91271440062*x^2 + 24557875626*x + 2753702432)/(3*x + 2)^7 + 378125*log(abs(5*x + 3)) - 378125*log(abs(3*x + 2))","A",0
1305,1,102,0,1.030349," ","integrate((1-2*x)^2*(2+3*x)^7/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{1367187500} \, {\left(5 \, x + 3\right)}^{8} {\left(\frac{1516320}{5 \, x + 3} - \frac{1411830}{{\left(5 \, x + 3\right)}^{2}} - \frac{11319588}{{\left(5 \, x + 3\right)}^{3}} - \frac{17377605}{{\left(5 \, x + 3\right)}^{4}} - \frac{14103180}{{\left(5 \, x + 3\right)}^{5}} - \frac{7427910}{{\left(5 \, x + 3\right)}^{6}} - \frac{3072860}{{\left(5 \, x + 3\right)}^{7}} - 153090\right)} - \frac{121}{9765625 \, {\left(5 \, x + 3\right)}} - \frac{2497}{9765625} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"-1/1367187500*(5*x + 3)^8*(1516320/(5*x + 3) - 1411830/(5*x + 3)^2 - 11319588/(5*x + 3)^3 - 17377605/(5*x + 3)^4 - 14103180/(5*x + 3)^5 - 7427910/(5*x + 3)^6 - 3072860/(5*x + 3)^7 - 153090) - 121/9765625/(5*x + 3) - 2497/9765625*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1306,1,93,0,0.885914," ","integrate((1-2*x)^2*(2+3*x)^6/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{136718750} \, {\left(5 \, x + 3\right)}^{7} {\left(\frac{306180}{5 \, x + 3} - \frac{404838}{{\left(5 \, x + 3\right)}^{2}} - \frac{2189565}{{\left(5 \, x + 3\right)}^{3}} - \frac{2888550}{{\left(5 \, x + 3\right)}^{4}} - \frac{2081520}{{\left(5 \, x + 3\right)}^{5}} - \frac{1088290}{{\left(5 \, x + 3\right)}^{6}} - 29160\right)} - \frac{121}{1953125 \, {\left(5 \, x + 3\right)}} - \frac{2134}{1953125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"-1/136718750*(5*x + 3)^7*(306180/(5*x + 3) - 404838/(5*x + 3)^2 - 2189565/(5*x + 3)^3 - 2888550/(5*x + 3)^4 - 2081520/(5*x + 3)^5 - 1088290/(5*x + 3)^6 - 29160) - 121/1953125/(5*x + 3) - 2134/1953125*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1307,1,84,0,0.988230," ","integrate((1-2*x)^2*(2+3*x)^5/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{7812500} \, {\left(5 \, x + 3\right)}^{6} {\left(\frac{36288}{5 \, x + 3} - \frac{63315}{{\left(5 \, x + 3\right)}^{2}} - \frac{249900}{{\left(5 \, x + 3\right)}^{3}} - \frac{287700}{{\left(5 \, x + 3\right)}^{4}} - \frac{204680}{{\left(5 \, x + 3\right)}^{5}} - 3240\right)} - \frac{121}{390625 \, {\left(5 \, x + 3\right)}} - \frac{1771}{390625} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"-1/7812500*(5*x + 3)^6*(36288/(5*x + 3) - 63315/(5*x + 3)^2 - 249900/(5*x + 3)^3 - 287700/(5*x + 3)^4 - 204680/(5*x + 3)^5 - 3240) - 121/390625/(5*x + 3) - 1771/390625*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1308,1,75,0,0.889002," ","integrate((1-2*x)^2*(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{390625} \, {\left(5 \, x + 3\right)}^{5} {\left(\frac{3915}{5 \, x + 3} - \frac{8775}{{\left(5 \, x + 3\right)}^{2}} - \frac{26850}{{\left(5 \, x + 3\right)}^{3}} - \frac{30050}{{\left(5 \, x + 3\right)}^{4}} - 324\right)} - \frac{121}{78125 \, {\left(5 \, x + 3\right)}} - \frac{1408}{78125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"-1/390625*(5*x + 3)^5*(3915/(5*x + 3) - 8775/(5*x + 3)^2 - 26850/(5*x + 3)^3 - 30050/(5*x + 3)^4 - 324) - 121/78125/(5*x + 3) - 1408/78125*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1309,1,66,0,1.108741," ","integrate((1-2*x)^2*(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{31250} \, {\left(5 \, x + 3\right)}^{4} {\left(\frac{720}{5 \, x + 3} - \frac{2115}{{\left(5 \, x + 3\right)}^{2}} - \frac{5750}{{\left(5 \, x + 3\right)}^{3}} - 54\right)} - \frac{121}{15625 \, {\left(5 \, x + 3\right)}} - \frac{209}{3125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"-1/31250*(5*x + 3)^4*(720/(5*x + 3) - 2115/(5*x + 3)^2 - 5750/(5*x + 3)^3 - 54) - 121/15625/(5*x + 3) - 209/3125*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1310,1,57,0,0.943668," ","integrate((1-2*x)^2*(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{3125} \, {\left(5 \, x + 3\right)}^{3} {\left(\frac{186}{5 \, x + 3} - \frac{829}{{\left(5 \, x + 3\right)}^{2}} - 12\right)} - \frac{121}{3125 \, {\left(5 \, x + 3\right)}} - \frac{682}{3125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"-1/3125*(5*x + 3)^3*(186/(5*x + 3) - 829/(5*x + 3)^2 - 12) - 121/3125/(5*x + 3) - 682/3125*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1311,1,48,0,0.886793," ","integrate((1-2*x)^2*(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{2}{625} \, {\left(5 \, x + 3\right)}^{2} {\left(\frac{64}{5 \, x + 3} - 3\right)} - \frac{121}{625 \, {\left(5 \, x + 3\right)}} - \frac{319}{625} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"-2/625*(5*x + 3)^2*(64/(5*x + 3) - 3) - 121/625/(5*x + 3) - 319/625*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1312,1,32,0,0.972440," ","integrate((1-2*x)^2/(3+5*x)^2,x, algorithm=""giac"")","\frac{4}{25} \, x - \frac{121}{125 \, {\left(5 \, x + 3\right)}} + \frac{44}{125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) + \frac{12}{125}"," ",0,"4/25*x - 121/125/(5*x + 3) + 44/125*log(1/5*abs(5*x + 3)/(5*x + 3)^2) + 12/125","A",0
1313,1,43,0,1.061486," ","integrate((1-2*x)^2/(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{121}{25 \, {\left(5 \, x + 3\right)}} - \frac{4}{75} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) + \frac{49}{3} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-121/25/(5*x + 3) - 4/75*log(1/5*abs(5*x + 3)/(5*x + 3)^2) + 49/3*log(abs(-1/(5*x + 3) - 3))","A",0
1314,1,38,0,0.859940," ","integrate((1-2*x)^2/(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{121}{5 \, {\left(5 \, x + 3\right)}} + \frac{245}{\frac{1}{5 \, x + 3} + 3} + 154 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-121/5/(5*x + 3) + 245/(1/(5*x + 3) + 3) + 154*log(abs(-1/(5*x + 3) - 3))","A",0
1315,1,49,0,0.945696," ","integrate((1-2*x)^2/(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{121}{5 \, x + 3} + \frac{35 \, {\left(\frac{202}{5 \, x + 3} + 501\right)}}{2 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{2}} + 1133 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-121/(5*x + 3) + 35/2*(202/(5*x + 3) + 501)/(1/(5*x + 3) + 3)^2 + 1133*log(abs(-1/(5*x + 3) - 3))","A",0
1316,1,58,0,1.017147," ","integrate((1-2*x)^2/(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","-\frac{605}{5 \, x + 3} + \frac{5 \, {\left(\frac{34464}{5 \, x + 3} + \frac{6934}{{\left(5 \, x + 3\right)}^{2}} + 44661\right)}}{{\left(\frac{1}{5 \, x + 3} + 3\right)}^{3}} + 7480 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-605/(5*x + 3) + 5*(34464/(5*x + 3) + 6934/(5*x + 3)^2 + 44661)/(1/(5*x + 3) + 3)^3 + 7480*log(abs(-1/(5*x + 3) - 3))","A",0
1317,1,67,0,1.038946," ","integrate((1-2*x)^2/(2+3*x)^5/(3+5*x)^2,x, algorithm=""giac"")","-\frac{3025}{5 \, x + 3} + \frac{25 \, {\left(\frac{884412}{5 \, x + 3} + \frac{341028}{{\left(5 \, x + 3\right)}^{2}} + \frac{45688}{{\left(5 \, x + 3\right)}^{3}} + 784485\right)}}{4 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{4}} + 46475 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-3025/(5*x + 3) + 25/4*(884412/(5*x + 3) + 341028/(5*x + 3)^2 + 45688/(5*x + 3)^3 + 784485)/(1/(5*x + 3) + 3)^4 + 46475*log(abs(-1/(5*x + 3) - 3))","A",0
1318,1,76,0,0.919051," ","integrate((1-2*x)^2/(2+3*x)^6/(3+5*x)^2,x, algorithm=""giac"")","-\frac{15125}{5 \, x + 3} + \frac{125 \, {\left(\frac{2338497}{5 \, x + 3} + \frac{1317834}{{\left(5 \, x + 3\right)}^{2}} + \frac{338628}{{\left(5 \, x + 3\right)}^{3}} + \frac{33998}{{\left(5 \, x + 3\right)}^{4}} + 1583793\right)}}{2 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{5}} + 277750 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-15125/(5*x + 3) + 125/2*(2338497/(5*x + 3) + 1317834/(5*x + 3)^2 + 338628/(5*x + 3)^3 + 33998/(5*x + 3)^4 + 1583793)/(1/(5*x + 3) + 3)^5 + 277750*log(abs(-1/(5*x + 3) - 3))","A",0
1319,1,85,0,0.848225," ","integrate((1-2*x)^2/(2+3*x)^7/(3+5*x)^2,x, algorithm=""giac"")","-\frac{75625}{5 \, x + 3} + \frac{625 \, {\left(\frac{22074930}{5 \, x + 3} + \frac{16294797}{{\left(5 \, x + 3\right)}^{2}} + \frac{6120660}{{\left(5 \, x + 3\right)}^{3}} + \frac{1179210}{{\left(5 \, x + 3\right)}^{4}} + \frac{94660}{{\left(5 \, x + 3\right)}^{5}} + 12117357\right)}}{4 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{6}} + 1615625 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-75625/(5*x + 3) + 625/4*(22074930/(5*x + 3) + 16294797/(5*x + 3)^2 + 6120660/(5*x + 3)^3 + 1179210/(5*x + 3)^4 + 94660/(5*x + 3)^5 + 12117357)/(1/(5*x + 3) + 3)^6 + 1615625*log(abs(-1/(5*x + 3) - 3))","A",0
1320,1,94,0,1.008278," ","integrate((1-2*x)^2/(2+3*x)^8/(3+5*x)^2,x, algorithm=""giac"")","-\frac{378125}{5 \, x + 3} + \frac{625 \, {\left(\frac{120779019}{5 \, x + 3} + \frac{110006829}{{\left(5 \, x + 3\right)}^{2}} + \frac{54129465}{{\left(5 \, x + 3\right)}^{3}} + \frac{15246900}{{\left(5 \, x + 3\right)}^{4}} + \frac{2349450}{{\left(5 \, x + 3\right)}^{5}} + \frac{157100}{{\left(5 \, x + 3\right)}^{6}} + 55800576\right)}}{{\left(\frac{1}{5 \, x + 3} + 3\right)}^{7}} + 9212500 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-378125/(5*x + 3) + 625*(120779019/(5*x + 3) + 110006829/(5*x + 3)^2 + 54129465/(5*x + 3)^3 + 15246900/(5*x + 3)^4 + 2349450/(5*x + 3)^5 + 157100/(5*x + 3)^6 + 55800576)/(1/(5*x + 3) + 3)^7 + 9212500*log(abs(-1/(5*x + 3) - 3))","A",0
1321,1,62,0,0.946119," ","integrate((1-2*x)^2*(2+3*x)^8/(3+5*x)^3,x, algorithm=""giac"")","\frac{6561}{250} \, x^{8} + \frac{332424}{4375} \, x^{7} + \frac{376407}{6250} \, x^{6} - \frac{74601}{3125} \, x^{5} - \frac{1700919}{31250} \, x^{4} - \frac{5350194}{390625} \, x^{3} + \frac{55559043}{3906250} \, x^{2} + \frac{92582457}{9765625} \, x - \frac{11 \, {\left(2600 \, x + 1571\right)}}{97656250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{5888}{9765625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"6561/250*x^8 + 332424/4375*x^7 + 376407/6250*x^6 - 74601/3125*x^5 - 1700919/31250*x^4 - 5350194/390625*x^3 + 55559043/3906250*x^2 + 92582457/9765625*x - 11/97656250*(2600*x + 1571)/(5*x + 3)^2 + 5888/9765625*log(abs(5*x + 3))","A",0
1322,1,57,0,1.029513," ","integrate((1-2*x)^2*(2+3*x)^7/(3+5*x)^3,x, algorithm=""giac"")","\frac{8748}{875} \, x^{7} + \frac{13608}{625} \, x^{6} + \frac{104247}{15625} \, x^{5} - \frac{193833}{12500} \, x^{4} - \frac{162612}{15625} \, x^{3} + \frac{1390203}{390625} \, x^{2} + \frac{9251661}{1953125} \, x - \frac{11 \, {\left(2270 \, x + 1373\right)}}{19531250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{21949}{9765625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"8748/875*x^7 + 13608/625*x^6 + 104247/15625*x^5 - 193833/12500*x^4 - 162612/15625*x^3 + 1390203/390625*x^2 + 9251661/1953125*x - 11/19531250*(2270*x + 1373)/(5*x + 3)^2 + 21949/9765625*log(abs(5*x + 3))","A",0
1323,1,52,0,0.886557," ","integrate((1-2*x)^2*(2+3*x)^6/(3+5*x)^3,x, algorithm=""giac"")","\frac{486}{125} \, x^{6} + \frac{17496}{3125} \, x^{5} - \frac{23571}{12500} \, x^{4} - \frac{16299}{3125} \, x^{3} + \frac{189}{15625} \, x^{2} + \frac{920502}{390625} \, x - \frac{11 \, {\left(388 \, x + 235\right)}}{781250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{15547}{1953125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"486/125*x^6 + 17496/3125*x^5 - 23571/12500*x^4 - 16299/3125*x^3 + 189/15625*x^2 + 920502/390625*x - 11/781250*(388*x + 235)/(5*x + 3)^2 + 15547/1953125*log(abs(5*x + 3))","A",0
1324,1,47,0,0.857280," ","integrate((1-2*x)^2*(2+3*x)^5/(3+5*x)^3,x, algorithm=""giac"")","\frac{972}{625} \, x^{5} + \frac{648}{625} \, x^{4} - \frac{5499}{3125} \, x^{3} - \frac{5301}{6250} \, x^{2} + \frac{17796}{15625} \, x - \frac{11 \, {\left(1610 \, x + 977\right)}}{781250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{10234}{390625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"972/625*x^5 + 648/625*x^4 - 5499/3125*x^3 - 5301/6250*x^2 + 17796/15625*x - 11/781250*(1610*x + 977)/(5*x + 3)^2 + 10234/390625*log(abs(5*x + 3))","A",0
1325,1,42,0,0.984259," ","integrate((1-2*x)^2*(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","\frac{81}{125} \, x^{4} - \frac{72}{625} \, x^{3} - \frac{4779}{6250} \, x^{2} + \frac{1419}{3125} \, x - \frac{11 \, {\left(1280 \, x + 779\right)}}{156250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{1202}{15625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"81/125*x^4 - 72/625*x^3 - 4779/6250*x^2 + 1419/3125*x - 11/156250*(1280*x + 779)/(5*x + 3)^2 + 1202/15625*log(abs(5*x + 3))","A",0
1326,1,37,0,0.931469," ","integrate((1-2*x)^2*(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{36}{125} \, x^{3} - \frac{216}{625} \, x^{2} - \frac{153}{3125} \, x - \frac{11 \, {\left(950 \, x + 581\right)}}{31250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{23}{125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"36/125*x^3 - 216/625*x^2 - 153/3125*x - 11/31250*(950*x + 581)/(5*x + 3)^2 + 23/125*log(abs(5*x + 3))","A",0
1327,1,32,0,0.959664," ","integrate((1-2*x)^2*(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{18}{125} \, x^{2} - \frac{264}{625} \, x - \frac{11 \, {\left(620 \, x + 383\right)}}{6250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{829}{3125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"18/125*x^2 - 264/625*x - 11/6250*(620*x + 383)/(5*x + 3)^2 + 829/3125*log(abs(5*x + 3))","A",0
1328,1,27,0,0.830233," ","integrate((1-2*x)^2*(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{12}{125} \, x - \frac{11 \, {\left(58 \, x + 37\right)}}{250 \, {\left(5 \, x + 3\right)}^{2}} - \frac{128}{625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"12/125*x - 11/250*(58*x + 37)/(5*x + 3)^2 - 128/625*log(abs(5*x + 3))","A",0
1329,1,24,0,0.866709," ","integrate((1-2*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{11 \, {\left(40 \, x + 13\right)}}{250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{4}{125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"11/250*(40*x + 13)/(5*x + 3)^2 + 4/125*log(abs(5*x + 3))","A",0
1330,1,33,0,0.872751," ","integrate((1-2*x)^2/(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{11 \, {\left(370 \, x + 211\right)}}{50 \, {\left(5 \, x + 3\right)}^{2}} + 49 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 49 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"11/50*(370*x + 211)/(5*x + 3)^2 + 49*log(abs(5*x + 3)) - 49*log(abs(3*x + 2))","A",0
1331,1,49,0,0.959565," ","integrate((1-2*x)^2/(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{49}{3 \, x + 2} - \frac{33 \, {\left(\frac{206}{3 \, x + 2} - 865\right)}}{2 \, {\left(\frac{1}{3 \, x + 2} - 5\right)}^{2}} + 707 \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right)"," ",0,"49/(3*x + 2) - 33/2*(206/(3*x + 2) - 865)/(1/(3*x + 2) - 5)^2 + 707*log(abs(-1/(3*x + 2) + 5))","A",0
1332,1,48,0,0.929860," ","integrate((1-2*x)^2/(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{208020 \, x^{3} + 395238 \, x^{2} + 249932 \, x + 52601}{2 \, {\left(15 \, x^{2} + 19 \, x + 6\right)}^{2}} + 6934 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 6934 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/2*(208020*x^3 + 395238*x^2 + 249932*x + 52601)/(15*x^2 + 19*x + 6)^2 + 6934*log(abs(5*x + 3)) - 6934*log(abs(3*x + 2))","A",0
1333,1,55,0,0.880165," ","integrate((1-2*x)^2/(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","\frac{15419700 \, x^{4} + 39577230 \, x^{3} + 38058104 \, x^{2} + 16250079 \, x + 2599404}{6 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{3}} + 57110 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 57110 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/6*(15419700*x^4 + 39577230*x^3 + 38058104*x^2 + 16250079*x + 2599404)/((5*x + 3)^2*(3*x + 2)^3) + 57110*log(abs(5*x + 3)) - 57110*log(abs(3*x + 2))","A",0
1334,1,76,0,0.897489," ","integrate((1-2*x)^2/(2+3*x)^5/(3+5*x)^3,x, algorithm=""giac"")","\frac{57110}{3 \, x + 2} - \frac{4125 \, {\left(\frac{404}{3 \, x + 2} - 1855\right)}}{2 \, {\left(\frac{1}{3 \, x + 2} - 5\right)}^{2}} + \frac{3467}{{\left(3 \, x + 2\right)}^{2}} + \frac{707}{3 \, {\left(3 \, x + 2\right)}^{3}} + \frac{49}{4 \, {\left(3 \, x + 2\right)}^{4}} + 424975 \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right)"," ",0,"57110/(3*x + 2) - 4125/2*(404/(3*x + 2) - 1855)/(1/(3*x + 2) - 5)^2 + 3467/(3*x + 2)^2 + 707/3/(3*x + 2)^3 + 49/4/(3*x + 2)^4 + 424975*log(abs(-1/(3*x + 2) + 5))","A",0
1335,1,65,0,1.026478," ","integrate((1-2*x)^2/(2+3*x)^6/(3+5*x)^3,x, algorithm=""giac"")","\frac{71882437500 \, x^{6} + 280341506250 \, x^{5} + 455361930000 \, x^{4} + 394308004875 \, x^{3} + 191974077080 \, x^{2} + 49825144515 \, x + 5385650262}{60 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{5}} + 2958125 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 2958125 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/60*(71882437500*x^6 + 280341506250*x^5 + 455361930000*x^4 + 394308004875*x^3 + 191974077080*x^2 + 49825144515*x + 5385650262)/((5*x + 3)^2*(3*x + 2)^5) + 2958125*log(abs(5*x + 3)) - 2958125*log(abs(3*x + 2))","A",0
1336,1,70,0,0.969894," ","integrate((1-2*x)^2/(2+3*x)^7/(3+5*x)^3,x, algorithm=""giac"")","\frac{238595625000 \, x^{7} + 1089586687500 \, x^{6} + 2131807725000 \, x^{5} + 2316445391250 \, x^{4} + 1509746867100 \, x^{3} + 590188362770 \, x^{2} + 128130976648 \, x + 11917538647}{10 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{6}} + 19637500 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 19637500 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/10*(238595625000*x^7 + 1089586687500*x^6 + 2131807725000*x^5 + 2316445391250*x^4 + 1509746867100*x^3 + 590188362770*x^2 + 128130976648*x + 11917538647)/((5*x + 3)^2*(3*x + 2)^6) + 19637500*log(abs(5*x + 3)) - 19637500*log(abs(3*x + 2))","A",0
1337,1,75,0,0.974019," ","integrate((1-2*x)^2/(2+3*x)^8/(3+5*x)^3,x, algorithm=""giac"")","\frac{4586321250000 \, x^{8} + 24001747875000 \, x^{7} + 54940731300000 \, x^{6} + 71845684942500 \, x^{5} + 58705292494800 \, x^{4} + 30691745453460 \, x^{3} + 10026079791288 \, x^{2} + 1871049429619 \, x + 152720488888}{10 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{7}} + 125825000 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 125825000 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/10*(4586321250000*x^8 + 24001747875000*x^7 + 54940731300000*x^6 + 71845684942500*x^5 + 58705292494800*x^4 + 30691745453460*x^3 + 10026079791288*x^2 + 1871049429619*x + 152720488888)/((5*x + 3)^2*(3*x + 2)^7) + 125825000*log(abs(5*x + 3)) - 125825000*log(abs(3*x + 2))","A",0
1338,1,64,0,0.953489," ","integrate((1-2*x)^3*(2+3*x)^8*(3+5*x),x, algorithm=""giac"")","-\frac{262440}{13} \, x^{13} - 96957 \, x^{12} - \frac{1966842}{11} \, x^{11} - \frac{1290573}{10} \, x^{10} + 38331 \, x^{9} + 128412 \, x^{8} + 67248 \, x^{7} - 17456 \, x^{6} - \frac{159712}{5} \, x^{5} - 9216 \, x^{4} + 3328 \, x^{3} + 2944 \, x^{2} + 768 \, x"," ",0,"-262440/13*x^13 - 96957*x^12 - 1966842/11*x^11 - 1290573/10*x^10 + 38331*x^9 + 128412*x^8 + 67248*x^7 - 17456*x^6 - 159712/5*x^5 - 9216*x^4 + 3328*x^3 + 2944*x^2 + 768*x","A",0
1339,1,59,0,1.017566," ","integrate((1-2*x)^3*(2+3*x)^7*(3+5*x),x, algorithm=""giac"")","-7290 \, x^{12} - \frac{329508}{11} \, x^{11} - \frac{217971}{5} \, x^{10} - 15507 \, x^{9} + \frac{208035}{8} \, x^{8} + 29106 \, x^{7} + 3514 \, x^{6} - \frac{48968}{5} \, x^{5} - 5148 \, x^{4} + 480 \, x^{3} + 1184 \, x^{2} + 384 \, x"," ",0,"-7290*x^12 - 329508/11*x^11 - 217971/5*x^10 - 15507*x^9 + 208035/8*x^8 + 29106*x^7 + 3514*x^6 - 48968/5*x^5 - 5148*x^4 + 480*x^3 + 1184*x^2 + 384*x","A",0
1340,1,54,0,0.980093," ","integrate((1-2*x)^3*(2+3*x)^6*(3+5*x),x, algorithm=""giac"")","-\frac{29160}{11} \, x^{11} - \frac{45198}{5} \, x^{10} - 9450 \, x^{9} + \frac{10179}{8} \, x^{8} + 8937 \, x^{7} + 4368 \, x^{6} - \frac{10444}{5} \, x^{5} - 2340 \, x^{4} - 208 \, x^{3} + 448 \, x^{2} + 192 \, x"," ",0,"-29160/11*x^11 - 45198/5*x^10 - 9450*x^9 + 10179/8*x^8 + 8937*x^7 + 4368*x^6 - 10444/5*x^5 - 2340*x^4 - 208*x^3 + 448*x^2 + 192*x","A",0
1341,1,49,0,0.930738," ","integrate((1-2*x)^3*(2+3*x)^5*(3+5*x),x, algorithm=""giac"")","-972 \, x^{10} - 2628 \, x^{9} - \frac{6291}{4} \, x^{8} + 1683 \, x^{7} + \frac{4333}{2} \, x^{6} + 14 \, x^{5} - 882 \, x^{4} - 256 \, x^{3} + 152 \, x^{2} + 96 \, x"," ",0,"-972*x^10 - 2628*x^9 - 6291/4*x^8 + 1683*x^7 + 4333/2*x^6 + 14*x^5 - 882*x^4 - 256*x^3 + 152*x^2 + 96*x","A",0
1342,1,44,0,0.885693," ","integrate((1-2*x)^3*(2+3*x)^4*(3+5*x),x, algorithm=""giac"")","-360 \, x^{9} - \frac{1431}{2} \, x^{8} - 54 \, x^{7} + \frac{1393}{2} \, x^{6} + \frac{1547}{5} \, x^{5} - 252 \, x^{4} - 168 \, x^{3} + 40 \, x^{2} + 48 \, x"," ",0,"-360*x^9 - 1431/2*x^8 - 54*x^7 + 1393/2*x^6 + 1547/5*x^5 - 252*x^4 - 168*x^3 + 40*x^2 + 48*x","A",0
1343,1,39,0,1.008305," ","integrate((1-2*x)^3*(2+3*x)^3*(3+5*x),x, algorithm=""giac"")","-135 \, x^{8} - \frac{1188}{7} \, x^{7} + 111 \, x^{6} + \frac{949}{5} \, x^{5} - \frac{117}{4} \, x^{4} - 86 \, x^{3} + 2 \, x^{2} + 24 \, x"," ",0,"-135*x^8 - 1188/7*x^7 + 111*x^6 + 949/5*x^5 - 117/4*x^4 - 86*x^3 + 2*x^2 + 24*x","A",0
1344,1,34,0,0.961600," ","integrate((1-2*x)^3*(2+3*x)^2*(3+5*x),x, algorithm=""giac"")","-\frac{360}{7} \, x^{7} - 26 \, x^{6} + \frac{326}{5} \, x^{5} + \frac{99}{4} \, x^{4} - 35 \, x^{3} - 8 \, x^{2} + 12 \, x"," ",0,"-360/7*x^7 - 26*x^6 + 326/5*x^5 + 99/4*x^4 - 35*x^3 - 8*x^2 + 12*x","A",0
1345,1,29,0,0.902612," ","integrate((1-2*x)^3*(2+3*x)*(3+5*x),x, algorithm=""giac"")","-20 \, x^{6} + \frac{28}{5} \, x^{5} + \frac{45}{2} \, x^{4} - 9 \, x^{3} - \frac{17}{2} \, x^{2} + 6 \, x"," ",0,"-20*x^6 + 28/5*x^5 + 45/2*x^4 - 9*x^3 - 17/2*x^2 + 6*x","A",0
1346,1,24,0,0.902675," ","integrate((1-2*x)^3*(3+5*x),x, algorithm=""giac"")","-8 \, x^{5} + 9 \, x^{4} + 2 \, x^{3} - \frac{13}{2} \, x^{2} + 3 \, x"," ",0,"-8*x^5 + 9*x^4 + 2*x^3 - 13/2*x^2 + 3*x","A",0
1347,1,28,0,1.034781," ","integrate((1-2*x)^3*(3+5*x)/(2+3*x),x, algorithm=""giac"")","-\frac{10}{3} \, x^{4} + \frac{188}{27} \, x^{3} - \frac{161}{27} \, x^{2} + \frac{293}{81} \, x - \frac{343}{243} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-10/3*x^4 + 188/27*x^3 - 161/27*x^2 + 293/81*x - 343/243*log(abs(3*x + 2))","A",0
1348,1,57,0,0.952657," ","integrate((1-2*x)^3*(3+5*x)/(2+3*x)^2,x, algorithm=""giac"")","\frac{2}{729} \, {\left(3 \, x + 2\right)}^{3} {\left(\frac{321}{3 \, x + 2} - \frac{2331}{{\left(3 \, x + 2\right)}^{2}} - 20\right)} + \frac{343}{243 \, {\left(3 \, x + 2\right)}} - \frac{2009}{243} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right)"," ",0,"2/729*(3*x + 2)^3*(321/(3*x + 2) - 2331/(3*x + 2)^2 - 20) + 343/243/(3*x + 2) - 2009/243*log(1/3*abs(3*x + 2)/(3*x + 2)^2)","A",0
1349,1,32,0,0.984589," ","integrate((1-2*x)^3*(3+5*x)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{20}{27} \, x^{2} + \frac{116}{27} \, x - \frac{49 \, {\left(246 \, x + 157\right)}}{486 \, {\left(3 \, x + 2\right)}^{2}} - \frac{518}{81} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-20/27*x^2 + 116/27*x - 49/486*(246*x + 157)/(3*x + 2)^2 - 518/81*log(abs(3*x + 2))","A",0
1350,1,32,0,0.803277," ","integrate((1-2*x)^3*(3+5*x)/(2+3*x)^4,x, algorithm=""giac"")","-\frac{40}{81} \, x + \frac{7 \, {\left(11988 \, x^{2} + 13401 \, x + 3704\right)}}{1458 \, {\left(3 \, x + 2\right)}^{3}} + \frac{428}{243} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-40/81*x + 7/1458*(11988*x^2 + 13401*x + 3704)/(3*x + 2)^3 + 428/243*log(abs(3*x + 2))","A",0
1351,1,55,0,1.114056," ","integrate((1-2*x)^3*(3+5*x)/(2+3*x)^5,x, algorithm=""giac"")","-\frac{428}{243 \, {\left(3 \, x + 2\right)}} + \frac{259}{81 \, {\left(3 \, x + 2\right)}^{2}} - \frac{2009}{729 \, {\left(3 \, x + 2\right)}^{3}} + \frac{343}{972 \, {\left(3 \, x + 2\right)}^{4}} + \frac{40}{243} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right)"," ",0,"-428/243/(3*x + 2) + 259/81/(3*x + 2)^2 - 2009/729/(3*x + 2)^3 + 343/972/(3*x + 2)^4 + 40/243*log(1/3*abs(3*x + 2)/(3*x + 2)^2)","A",0
1352,1,29,0,0.758750," ","integrate((1-2*x)^3*(3+5*x)/(2+3*x)^6,x, algorithm=""giac"")","\frac{64800 \, x^{4} + 57240 \, x^{3} + 34920 \, x^{2} + 16905 \, x + 1282}{4860 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"1/4860*(64800*x^4 + 57240*x^3 + 34920*x^2 + 16905*x + 1282)/(3*x + 2)^5","A",0
1353,1,29,0,0.849115," ","integrate((1-2*x)^3*(3+5*x)/(2+3*x)^7,x, algorithm=""giac"")","\frac{48600 \, x^{4} + 14040 \, x^{3} + 3375 \, x^{2} + 7218 \, x - 413}{7290 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"1/7290*(48600*x^4 + 14040*x^3 + 3375*x^2 + 7218*x - 413)/(3*x + 2)^6","A",0
1354,1,29,0,1.025791," ","integrate((1-2*x)^3*(3+5*x)/(2+3*x)^8,x, algorithm=""giac"")","\frac{32400 \, x^{4} - 270 \, x^{3} - 3024 \, x^{2} + 4593 \, x - 604}{7290 \, {\left(3 \, x + 2\right)}^{7}}"," ",0,"1/7290*(32400*x^4 - 270*x^3 - 3024*x^2 + 4593*x - 604)/(3*x + 2)^7","A",0
1355,1,69,0,0.934920," ","integrate((1-2*x)^3*(2+3*x)^8*(3+5*x)^2,x, algorithm=""giac"")","-\frac{656100}{7} \, x^{14} - \frac{6604740}{13} \, x^{13} - \frac{2220777}{2} \, x^{12} - \frac{12353391}{11} \, x^{11} - \frac{1073412}{5} \, x^{10} + 685713 \, x^{9} + 679446 \, x^{8} + \frac{888528}{7} \, x^{7} - \frac{556384}{3} \, x^{6} - \frac{663456}{5} \, x^{5} - 15168 \, x^{4} + \frac{59392}{3} \, x^{3} + 10752 \, x^{2} + 2304 \, x"," ",0,"-656100/7*x^14 - 6604740/13*x^13 - 2220777/2*x^12 - 12353391/11*x^11 - 1073412/5*x^10 + 685713*x^9 + 679446*x^8 + 888528/7*x^7 - 556384/3*x^6 - 663456/5*x^5 - 15168*x^4 + 59392/3*x^3 + 10752*x^2 + 2304*x","A",0
1356,1,64,0,0.955366," ","integrate((1-2*x)^3*(2+3*x)^7*(3+5*x)^2,x, algorithm=""giac"")","-\frac{437400}{13} \, x^{13} - 159165 \, x^{12} - \frac{3168234}{11} \, x^{11} - \frac{2005641}{10} \, x^{10} + 69054 \, x^{9} + \frac{1642815}{8} \, x^{8} + 102378 \, x^{7} - \frac{90794}{3} \, x^{6} - \frac{249864}{5} \, x^{5} - 13644 \, x^{4} + \frac{16160}{3} \, x^{3} + 4512 \, x^{2} + 1152 \, x"," ",0,"-437400/13*x^13 - 159165*x^12 - 3168234/11*x^11 - 2005641/10*x^10 + 69054*x^9 + 1642815/8*x^8 + 102378*x^7 - 90794/3*x^6 - 249864/5*x^5 - 13644*x^4 + 16160/3*x^3 + 4512*x^2 + 1152*x","A",0
1357,1,59,0,0.945511," ","integrate((1-2*x)^3*(2+3*x)^6*(3+5*x)^2,x, algorithm=""giac"")","-12150 \, x^{12} - \frac{539460}{11} \, x^{11} - \frac{348219}{5} \, x^{10} - 22695 \, x^{9} + \frac{85833}{2} \, x^{8} + 45531 \, x^{7} + \frac{13202}{3} \, x^{6} - \frac{78132}{5} \, x^{5} - 7800 \, x^{4} + \frac{2608}{3} \, x^{3} + 1824 \, x^{2} + 576 \, x"," ",0,"-12150*x^12 - 539460/11*x^11 - 348219/5*x^10 - 22695*x^9 + 85833/2*x^8 + 45531*x^7 + 13202/3*x^6 - 78132/5*x^5 - 7800*x^4 + 2608/3*x^3 + 1824*x^2 + 576*x","A",0
1358,1,54,0,0.963033," ","integrate((1-2*x)^3*(2+3*x)^5*(3+5*x)^2,x, algorithm=""giac"")","-\frac{48600}{11} \, x^{11} - 14742 \, x^{10} - 14874 \, x^{9} + \frac{21159}{8} \, x^{8} + 14334 \, x^{7} + \frac{39347}{6} \, x^{6} - 3486 \, x^{5} - 3606 \, x^{4} - \frac{784}{3} \, x^{3} + 696 \, x^{2} + 288 \, x"," ",0,"-48600/11*x^11 - 14742*x^10 - 14874*x^9 + 21159/8*x^8 + 14334*x^7 + 39347/6*x^6 - 3486*x^5 - 3606*x^4 - 784/3*x^3 + 696*x^2 + 288*x","A",0
1359,1,49,0,0.916930," ","integrate((1-2*x)^3*(2+3*x)^4*(3+5*x)^2,x, algorithm=""giac"")","-1620 \, x^{10} - 4260 \, x^{9} - \frac{9531}{4} \, x^{8} + 2823 \, x^{7} + \frac{10136}{3} \, x^{6} - \frac{399}{5} \, x^{5} - 1386 \, x^{4} - \frac{1112}{3} \, x^{3} + 240 \, x^{2} + 144 \, x"," ",0,"-1620*x^10 - 4260*x^9 - 9531/4*x^8 + 2823*x^7 + 10136/3*x^6 - 399/5*x^5 - 1386*x^4 - 1112/3*x^3 + 240*x^2 + 144*x","A",0
1360,1,44,0,0.951232," ","integrate((1-2*x)^3*(2+3*x)^3*(3+5*x)^2,x, algorithm=""giac"")","-600 \, x^{9} - \frac{2295}{2} \, x^{8} - \frac{234}{7} \, x^{7} + \frac{6743}{6} \, x^{6} + \frac{2262}{5} \, x^{5} - \frac{1641}{4} \, x^{4} - \frac{754}{3} \, x^{3} + 66 \, x^{2} + 72 \, x"," ",0,"-600*x^9 - 2295/2*x^8 - 234/7*x^7 + 6743/6*x^6 + 2262/5*x^5 - 1641/4*x^4 - 754/3*x^3 + 66*x^2 + 72*x","A",0
1361,1,39,0,1.032632," ","integrate((1-2*x)^3*(2+3*x)^2*(3+5*x)^2,x, algorithm=""giac"")","-225 \, x^{8} - \frac{1860}{7} \, x^{7} + \frac{581}{3} \, x^{6} + \frac{1473}{5} \, x^{5} - 57 \, x^{4} - \frac{395}{3} \, x^{3} + 6 \, x^{2} + 36 \, x"," ",0,"-225*x^8 - 1860/7*x^7 + 581/3*x^6 + 1473/5*x^5 - 57*x^4 - 395/3*x^3 + 6*x^2 + 36*x","A",0
1362,1,34,0,0.822252," ","integrate((1-2*x)^3*(2+3*x)*(3+5*x)^2,x, algorithm=""giac"")","-\frac{600}{7} \, x^{7} - \frac{110}{3} \, x^{6} + \frac{534}{5} \, x^{5} + \frac{135}{4} \, x^{4} - \frac{166}{3} \, x^{3} - \frac{21}{2} \, x^{2} + 18 \, x"," ",0,"-600/7*x^7 - 110/3*x^6 + 534/5*x^5 + 135/4*x^4 - 166/3*x^3 - 21/2*x^2 + 18*x","A",0
1363,1,29,0,0.917575," ","integrate((1-2*x)^3*(3+5*x)^2,x, algorithm=""giac"")","-\frac{100}{3} \, x^{6} + 12 \, x^{5} + \frac{69}{2} \, x^{4} - \frac{47}{3} \, x^{3} - 12 \, x^{2} + 9 \, x"," ",0,"-100/3*x^6 + 12*x^5 + 69/2*x^4 - 47/3*x^3 - 12*x^2 + 9*x","A",0
1364,1,33,0,1.061371," ","integrate((1-2*x)^3*(3+5*x)^2/(2+3*x),x, algorithm=""giac"")","-\frac{40}{3} \, x^{5} + \frac{145}{9} \, x^{4} + \frac{82}{81} \, x^{3} - \frac{1433}{162} \, x^{2} + \frac{922}{243} \, x + \frac{343}{729} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-40/3*x^5 + 145/9*x^4 + 82/81*x^3 - 1433/162*x^2 + 922/243*x + 343/729*log(abs(3*x + 2))","A",0
1365,1,66,0,0.929743," ","integrate((1-2*x)^3*(3+5*x)^2/(2+3*x)^2,x, algorithm=""giac"")","\frac{1}{2187} \, {\left(3 \, x + 2\right)}^{4} {\left(\frac{2180}{3 \, x + 2} - \frac{12297}{{\left(3 \, x + 2\right)}^{2}} + \frac{34797}{{\left(3 \, x + 2\right)}^{3}} - 150\right)} - \frac{343}{729 \, {\left(3 \, x + 2\right)}} + \frac{3724}{729} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right)"," ",0,"1/2187*(3*x + 2)^4*(2180/(3*x + 2) - 12297/(3*x + 2)^2 + 34797/(3*x + 2)^3 - 150) - 343/729/(3*x + 2) + 3724/729*log(1/3*abs(3*x + 2)/(3*x + 2)^2)","A",0
1366,1,37,0,0.842388," ","integrate((1-2*x)^3*(3+5*x)^2/(2+3*x)^3,x, algorithm=""giac"")","-\frac{200}{81} \, x^{3} + \frac{230}{27} \, x^{2} - \frac{1546}{81} \, x + \frac{49 \, {\left(152 \, x + 99\right)}}{486 \, {\left(3 \, x + 2\right)}^{2}} + \frac{11599}{729} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-200/81*x^3 + 230/27*x^2 - 1546/81*x + 49/486*(152*x + 99)/(3*x + 2)^2 + 11599/729*log(abs(3*x + 2))","A",0
1367,1,37,0,0.915847," ","integrate((1-2*x)^3*(3+5*x)^2/(2+3*x)^4,x, algorithm=""giac"")","-\frac{100}{81} \, x^{2} + \frac{1780}{243} \, x - \frac{7 \, {\left(44739 \, x^{2} + 57258 \, x + 18337\right)}}{2187 \, {\left(3 \, x + 2\right)}^{3}} - \frac{8198}{729} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-100/81*x^2 + 1780/243*x - 7/2187*(44739*x^2 + 57258*x + 18337)/(3*x + 2)^3 - 8198/729*log(abs(3*x + 2))","A",0
1368,1,59,0,1.150751," ","integrate((1-2*x)^3*(3+5*x)^2/(2+3*x)^5,x, algorithm=""giac"")","-\frac{200}{243} \, x + \frac{8198}{729 \, {\left(3 \, x + 2\right)}} - \frac{11599}{1458 \, {\left(3 \, x + 2\right)}^{2}} + \frac{3724}{2187 \, {\left(3 \, x + 2\right)}^{3}} - \frac{343}{2916 \, {\left(3 \, x + 2\right)}^{4}} - \frac{2180}{729} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right) - \frac{400}{729}"," ",0,"-200/243*x + 8198/729/(3*x + 2) - 11599/1458/(3*x + 2)^2 + 3724/2187/(3*x + 2)^3 - 343/2916/(3*x + 2)^4 - 2180/729*log(1/3*abs(3*x + 2)/(3*x + 2)^2) - 400/729","A",0
1369,1,39,0,0.803116," ","integrate((1-2*x)^3*(3+5*x)^2/(2+3*x)^6,x, algorithm=""giac"")","-\frac{2648700 \, x^{4} + 5403105 \, x^{3} + 4264965 \, x^{2} + 1579785 \, x + 236399}{10935 \, {\left(3 \, x + 2\right)}^{5}} - \frac{200}{729} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-1/10935*(2648700*x^4 + 5403105*x^3 + 4264965*x^2 + 1579785*x + 236399)/(3*x + 2)^5 - 200/729*log(abs(3*x + 2))","A",0
1370,1,34,0,0.828650," ","integrate((1-2*x)^3*(3+5*x)^2/(2+3*x)^7,x, algorithm=""giac"")","\frac{2916000 \, x^{5} + 4422600 \, x^{4} + 3260520 \, x^{3} + 1801575 \, x^{2} + 550404 \, x + 39286}{43740 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"1/43740*(2916000*x^5 + 4422600*x^4 + 3260520*x^3 + 1801575*x^2 + 550404*x + 39286)/(3*x + 2)^6","A",0
1371,1,34,0,0.901947," ","integrate((1-2*x)^3*(3+5*x)^2/(2+3*x)^8,x, algorithm=""giac"")","\frac{729000 \, x^{5} + 664200 \, x^{4} + 191295 \, x^{3} + 145044 \, x^{2} + 61392 \, x - 3526}{21870 \, {\left(3 \, x + 2\right)}^{7}}"," ",0,"1/21870*(729000*x^5 + 664200*x^4 + 191295*x^3 + 145044*x^2 + 61392*x - 3526)/(3*x + 2)^7","A",0
1372,1,69,0,1.120413," ","integrate((1-2*x)^3*(2+3*x)^7*(3+5*x)^3,x, algorithm=""giac"")","-\frac{1093500}{7} \, x^{14} - \frac{10862100}{13} \, x^{13} - \frac{3595185}{2} \, x^{12} - \frac{19532907}{11} \, x^{11} - \frac{2909493}{10} \, x^{10} + 1119837 \, x^{9} + \frac{8511675}{8} \, x^{8} + \frac{1241998}{7} \, x^{7} - 299014 \, x^{6} - \frac{1022472}{5} \, x^{5} - 20732 \, x^{4} + 31200 \, x^{3} + 16416 \, x^{2} + 3456 \, x"," ",0,"-1093500/7*x^14 - 10862100/13*x^13 - 3595185/2*x^12 - 19532907/11*x^11 - 2909493/10*x^10 + 1119837*x^9 + 8511675/8*x^8 + 1241998/7*x^7 - 299014*x^6 - 1022472/5*x^5 - 20732*x^4 + 31200*x^3 + 16416*x^2 + 3456*x","A",0
1373,1,64,0,0.965871," ","integrate((1-2*x)^3*(2+3*x)^6*(3+5*x)^3,x, algorithm=""giac"")","-\frac{729000}{13} \, x^{13} - 261225 \, x^{12} - \frac{5100570}{11} \, x^{11} - \frac{3110589}{10} \, x^{10} + 122655 \, x^{9} + \frac{2623581}{8} \, x^{8} + 155453 \, x^{7} - 51908 \, x^{6} - \frac{390396}{5} \, x^{5} - 20140 \, x^{4} + 8688 \, x^{3} + 6912 \, x^{2} + 1728 \, x"," ",0,"-729000/13*x^13 - 261225*x^12 - 5100570/11*x^11 - 3110589/10*x^10 + 122655*x^9 + 2623581/8*x^8 + 155453*x^7 - 51908*x^6 - 390396/5*x^5 - 20140*x^4 + 8688*x^3 + 6912*x^2 + 1728*x","A",0
1374,1,59,0,0.922359," ","integrate((1-2*x)^3*(2+3*x)^5*(3+5*x)^3,x, algorithm=""giac"")","-20250 \, x^{12} - \frac{882900}{11} \, x^{11} - 111159 \, x^{10} - 32867 \, x^{9} + \frac{565167}{8} \, x^{8} + 71107 \, x^{7} + \frac{10297}{2} \, x^{6} - 24882 \, x^{5} - 11798 \, x^{4} + 1536 \, x^{3} + 2808 \, x^{2} + 864 \, x"," ",0,"-20250*x^12 - 882900/11*x^11 - 111159*x^10 - 32867*x^9 + 565167/8*x^8 + 71107*x^7 + 10297/2*x^6 - 24882*x^5 - 11798*x^4 + 1536*x^3 + 2808*x^2 + 864*x","A",0
1375,1,54,0,0.887949," ","integrate((1-2*x)^3*(2+3*x)^4*(3+5*x)^3,x, algorithm=""giac"")","-\frac{81000}{11} \, x^{11} - 24030 \, x^{10} - 23370 \, x^{9} + \frac{41619}{8} \, x^{8} + 22949 \, x^{7} + \frac{19607}{2} \, x^{6} - \frac{28917}{5} \, x^{5} - 5548 \, x^{4} - 312 \, x^{3} + 1080 \, x^{2} + 432 \, x"," ",0,"-81000/11*x^11 - 24030*x^10 - 23370*x^9 + 41619/8*x^8 + 22949*x^7 + 19607/2*x^6 - 28917/5*x^5 - 5548*x^4 - 312*x^3 + 1080*x^2 + 432*x","A",0
1376,1,49,0,0.767123," ","integrate((1-2*x)^3*(2+3*x)^3*(3+5*x)^3,x, algorithm=""giac"")","-2700 \, x^{10} - 6900 \, x^{9} - \frac{14355}{4} \, x^{8} + \frac{33013}{7} \, x^{7} + \frac{10513}{2} \, x^{6} - \frac{1419}{5} \, x^{5} - \frac{8693}{4} \, x^{4} - 534 \, x^{3} + 378 \, x^{2} + 216 \, x"," ",0,"-2700*x^10 - 6900*x^9 - 14355/4*x^8 + 33013/7*x^7 + 10513/2*x^6 - 1419/5*x^5 - 8693/4*x^4 - 534*x^3 + 378*x^2 + 216*x","A",0
1377,1,44,0,1.127011," ","integrate((1-2*x)^3*(2+3*x)^2*(3+5*x)^3,x, algorithm=""giac"")","-1000 \, x^{9} - \frac{3675}{2} \, x^{8} + \frac{230}{7} \, x^{7} + \frac{3617}{2} \, x^{6} + \frac{3279}{5} \, x^{5} - \frac{2659}{4} \, x^{4} - 375 \, x^{3} + 108 \, x^{2} + 108 \, x"," ",0,"-1000*x^9 - 3675/2*x^8 + 230/7*x^7 + 3617/2*x^6 + 3279/5*x^5 - 2659/4*x^4 - 375*x^3 + 108*x^2 + 108*x","A",0
1378,1,39,0,0.809879," ","integrate((1-2*x)^3*(2+3*x)*(3+5*x)^3,x, algorithm=""giac"")","-375 \, x^{8} - \frac{2900}{7} \, x^{7} + 335 \, x^{6} + \frac{2277}{5} \, x^{5} - \frac{425}{4} \, x^{4} - 201 \, x^{3} + \frac{27}{2} \, x^{2} + 54 \, x"," ",0,"-375*x^8 - 2900/7*x^7 + 335*x^6 + 2277/5*x^5 - 425/4*x^4 - 201*x^3 + 27/2*x^2 + 54*x","A",0
1379,1,34,0,0.950824," ","integrate((1-2*x)^3*(3+5*x)^3,x, algorithm=""giac"")","-\frac{1000}{7} \, x^{7} - 50 \, x^{6} + 174 \, x^{5} + \frac{179}{4} \, x^{4} - 87 \, x^{3} - \frac{27}{2} \, x^{2} + 27 \, x"," ",0,"-1000/7*x^7 - 50*x^6 + 174*x^5 + 179/4*x^4 - 87*x^3 - 27/2*x^2 + 27*x","A",0
1380,1,38,0,0.921745," ","integrate((1-2*x)^3*(3+5*x)^3/(2+3*x),x, algorithm=""giac"")","-\frac{500}{9} \, x^{6} + \frac{220}{9} \, x^{5} + \frac{2815}{54} \, x^{4} - \frac{6427}{243} \, x^{3} - \frac{8287}{486} \, x^{2} + \frac{10013}{729} \, x - \frac{343}{2187} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-500/9*x^6 + 220/9*x^5 + 2815/54*x^4 - 6427/243*x^3 - 8287/486*x^2 + 10013/729*x - 343/2187*log(abs(3*x + 2))","A",0
1381,1,75,0,0.906649," ","integrate((1-2*x)^3*(3+5*x)^3/(2+3*x)^2,x, algorithm=""giac"")","\frac{1}{4374} \, {\left(3 \, x + 2\right)}^{5} {\left(\frac{5550}{3 \, x + 2} - \frac{28780}{{\left(3 \, x + 2\right)}^{2}} + \frac{66193}{{\left(3 \, x + 2\right)}^{3}} - \frac{60438}{{\left(3 \, x + 2\right)}^{4}} - 400\right)} + \frac{343}{2187 \, {\left(3 \, x + 2\right)}} - \frac{1813}{729} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right)"," ",0,"1/4374*(3*x + 2)^5*(5550/(3*x + 2) - 28780/(3*x + 2)^2 + 66193/(3*x + 2)^3 - 60438/(3*x + 2)^4 - 400) + 343/2187/(3*x + 2) - 1813/729*log(1/3*abs(3*x + 2)/(3*x + 2)^2)","A",0
1382,1,42,0,0.963515," ","integrate((1-2*x)^3*(3+5*x)^3/(2+3*x)^3,x, algorithm=""giac"")","-\frac{250}{27} \, x^{4} + \frac{1700}{81} \, x^{3} - \frac{1795}{81} \, x^{2} + \frac{16253}{729} \, x - \frac{49 \, {\left(666 \, x + 437\right)}}{4374 \, {\left(3 \, x + 2\right)}^{2}} - \frac{10073}{729} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-250/27*x^4 + 1700/81*x^3 - 1795/81*x^2 + 16253/729*x - 49/4374*(666*x + 437)/(3*x + 2)^2 - 10073/729*log(abs(3*x + 2))","A",0
1383,1,42,0,0.847306," ","integrate((1-2*x)^3*(3+5*x)^3/(2+3*x)^4,x, algorithm=""giac"")","-\frac{1000}{243} \, x^{3} + \frac{3550}{243} \, x^{2} - \frac{24970}{729} \, x + \frac{7 \, {\left(233118 \, x^{2} + 303831 \, x + 99044\right)}}{13122 \, {\left(3 \, x + 2\right)}^{3}} + \frac{66193}{2187} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-1000/243*x^3 + 3550/243*x^2 - 24970/729*x + 7/13122*(233118*x^2 + 303831*x + 99044)/(3*x + 2)^3 + 66193/2187*log(abs(3*x + 2))","A",0
1384,1,75,0,0.866784," ","integrate((1-2*x)^3*(3+5*x)^3/(2+3*x)^5,x, algorithm=""giac"")","\frac{100}{2187} \, {\left(3 \, x + 2\right)}^{2} {\left(\frac{111}{3 \, x + 2} - 5\right)} - \frac{66193}{2187 \, {\left(3 \, x + 2\right)}} + \frac{10073}{1458 \, {\left(3 \, x + 2\right)}^{2}} - \frac{1813}{2187 \, {\left(3 \, x + 2\right)}^{3}} + \frac{343}{8748 \, {\left(3 \, x + 2\right)}^{4}} + \frac{14390}{729} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right)"," ",0,"100/2187*(3*x + 2)^2*(111/(3*x + 2) - 5) - 66193/2187/(3*x + 2) + 10073/1458/(3*x + 2)^2 - 1813/2187/(3*x + 2)^3 + 343/8748/(3*x + 2)^4 + 14390/729*log(1/3*abs(3*x + 2)/(3*x + 2)^2)","A",0
1385,1,42,0,0.966214," ","integrate((1-2*x)^3*(3+5*x)^3/(2+3*x)^6,x, algorithm=""giac"")","-\frac{1000}{729} \, x + \frac{23311800 \, x^{4} + 56207430 \, x^{3} + 50854440 \, x^{2} + 20464285 \, x + 3090594}{14580 \, {\left(3 \, x + 2\right)}^{5}} + \frac{3700}{729} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-1000/729*x + 1/14580*(23311800*x^4 + 56207430*x^3 + 50854440*x^2 + 20464285*x + 3090594)/(3*x + 2)^5 + 3700/729*log(abs(3*x + 2))","A",0
1386,1,44,0,0.830389," ","integrate((1-2*x)^3*(3+5*x)^3/(2+3*x)^7,x, algorithm=""giac"")","-\frac{53946000 \, x^{5} + 144852300 \, x^{4} + 158427540 \, x^{3} + 89062425 \, x^{2} + 25975248 \, x + 3165082}{43740 \, {\left(3 \, x + 2\right)}^{6}} - \frac{1000}{2187} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-1/43740*(53946000*x^5 + 144852300*x^4 + 158427540*x^3 + 89062425*x^2 + 25975248*x + 3165082)/(3*x + 2)^6 - 1000/2187*log(abs(3*x + 2))","A",0
1387,1,39,0,0.981843," ","integrate((1-2*x)^3*(3+5*x)^3/(2+3*x)^8,x, algorithm=""giac"")","\frac{14580000 \, x^{6} + 31347000 \, x^{5} + 30601800 \, x^{4} + 19748745 \, x^{3} + 8660574 \, x^{2} + 1990182 \, x + 133304}{43740 \, {\left(3 \, x + 2\right)}^{7}}"," ",0,"1/43740*(14580000*x^6 + 31347000*x^5 + 30601800*x^4 + 19748745*x^3 + 8660574*x^2 + 1990182*x + 133304)/(3*x + 2)^7","A",0
1388,1,53,0,0.967813," ","integrate((1-2*x)^3*(2+3*x)^6/(3+5*x),x, algorithm=""giac"")","-\frac{648}{5} \, x^{9} - \frac{13851}{50} \, x^{8} - \frac{40338}{875} \, x^{7} + \frac{331713}{1250} \, x^{6} + \frac{2212083}{15625} \, x^{5} - \frac{5848749}{62500} \, x^{4} - \frac{17453753}{234375} \, x^{3} + \frac{11111259}{781250} \, x^{2} + \frac{41666223}{1953125} \, x + \frac{1331}{9765625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-648/5*x^9 - 13851/50*x^8 - 40338/875*x^7 + 331713/1250*x^6 + 2212083/15625*x^5 - 5848749/62500*x^4 - 17453753/234375*x^3 + 11111259/781250*x^2 + 41666223/1953125*x + 1331/9765625*log(abs(5*x + 3))","A",0
1389,1,48,0,0.975031," ","integrate((1-2*x)^3*(2+3*x)^5/(3+5*x),x, algorithm=""giac"")","-\frac{243}{5} \, x^{8} - \frac{11988}{175} \, x^{7} + \frac{4419}{125} \, x^{6} + \frac{243333}{3125} \, x^{5} - \frac{73749}{12500} \, x^{4} - \frac{1703753}{46875} \, x^{3} - \frac{138741}{156250} \, x^{2} + \frac{4166223}{390625} \, x + \frac{1331}{1953125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-243/5*x^8 - 11988/175*x^7 + 4419/125*x^6 + 243333/3125*x^5 - 73749/12500*x^4 - 1703753/46875*x^3 - 138741/156250*x^2 + 4166223/390625*x + 1331/1953125*log(abs(5*x + 3))","A",0
1390,1,43,0,0.827369," ","integrate((1-2*x)^3*(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","-\frac{648}{35} \, x^{7} - \frac{306}{25} \, x^{6} + \frac{14958}{625} \, x^{5} + \frac{31251}{2500} \, x^{4} - \frac{128753}{9375} \, x^{3} - \frac{138741}{31250} \, x^{2} + \frac{416223}{78125} \, x + \frac{1331}{390625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-648/35*x^7 - 306/25*x^6 + 14958/625*x^5 + 31251/2500*x^4 - 128753/9375*x^3 - 138741/31250*x^2 + 416223/78125*x + 1331/390625*log(abs(5*x + 3))","A",0
1391,1,38,0,1.079190," ","integrate((1-2*x)^3*(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","-\frac{36}{5} \, x^{6} + \frac{108}{125} \, x^{5} + \frac{2313}{250} \, x^{4} - \frac{5003}{1875} \, x^{3} - \frac{26241}{6250} \, x^{2} + \frac{41223}{15625} \, x + \frac{1331}{78125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-36/5*x^6 + 108/125*x^5 + 2313/250*x^4 - 5003/1875*x^3 - 26241/6250*x^2 + 41223/15625*x + 1331/78125*log(abs(5*x + 3))","A",0
1392,1,33,0,0.859225," ","integrate((1-2*x)^3*(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","-\frac{72}{25} \, x^{5} + \frac{69}{25} \, x^{4} + \frac{622}{375} \, x^{3} - \frac{3741}{1250} \, x^{2} + \frac{3723}{3125} \, x + \frac{1331}{15625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-72/25*x^5 + 69/25*x^4 + 622/375*x^3 - 3741/1250*x^2 + 3723/3125*x + 1331/15625*log(abs(5*x + 3))","A",0
1393,1,28,0,0.937304," ","integrate((1-2*x)^3*(2+3*x)/(3+5*x),x, algorithm=""giac"")","-\frac{6}{5} \, x^{4} + \frac{172}{75} \, x^{3} - \frac{183}{125} \, x^{2} - \frac{27}{625} \, x + \frac{1331}{3125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-6/5*x^4 + 172/75*x^3 - 183/125*x^2 - 27/625*x + 1331/3125*log(abs(5*x + 3))","A",0
1394,1,23,0,0.845972," ","integrate((1-2*x)^3/(3+5*x),x, algorithm=""giac"")","-\frac{8}{15} \, x^{3} + \frac{42}{25} \, x^{2} - \frac{402}{125} \, x + \frac{1331}{625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-8/15*x^3 + 42/25*x^2 - 402/125*x + 1331/625*log(abs(5*x + 3))","A",0
1395,1,27,0,0.919245," ","integrate((1-2*x)^3/(2+3*x)/(3+5*x),x, algorithm=""giac"")","-\frac{4}{15} \, x^{2} + \frac{332}{225} \, x + \frac{1331}{125} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{343}{27} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"-4/15*x^2 + 332/225*x + 1331/125*log(abs(5*x + 3)) - 343/27*log(abs(3*x + 2))","A",0
1396,1,47,0,0.933307," ","integrate((1-2*x)^3/(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","-\frac{8}{45} \, x + \frac{343}{27 \, {\left(3 \, x + 2\right)}} - \frac{412}{675} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right) + \frac{1331}{25} \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right) - \frac{16}{135}"," ",0,"-8/45*x + 343/27/(3*x + 2) - 412/675*log(1/3*abs(3*x + 2)/(3*x + 2)^2) + 1331/25*log(abs(-1/(3*x + 2) + 5)) - 16/135","A",0
1397,1,33,0,0.953748," ","integrate((1-2*x)^3/(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","\frac{49 \, {\left(58 \, x + 41\right)}}{18 \, {\left(3 \, x + 2\right)}^{2}} + \frac{1331}{5} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{7189}{27} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"49/18*(58*x + 41)/(3*x + 2)^2 + 1331/5*log(abs(5*x + 3)) - 7189/27*log(abs(3*x + 2))","A",0
1398,1,38,0,0.807598," ","integrate((1-2*x)^3/(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","\frac{7 \, {\left(55458 \, x^{2} + 75771 \, x + 25964\right)}}{162 \, {\left(3 \, x + 2\right)}^{3}} + 1331 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 1331 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"7/162*(55458*x^2 + 75771*x + 25964)/(3*x + 2)^3 + 1331*log(abs(5*x + 3)) - 1331*log(abs(3*x + 2))","A",0
1399,1,52,0,0.959416," ","integrate((1-2*x)^3/(2+3*x)^5/(3+5*x),x, algorithm=""giac"")","\frac{1331}{3 \, x + 2} + \frac{7189}{54 \, {\left(3 \, x + 2\right)}^{2}} + \frac{1421}{81 \, {\left(3 \, x + 2\right)}^{3}} + \frac{343}{108 \, {\left(3 \, x + 2\right)}^{4}} + 6655 \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right)"," ",0,"1331/(3*x + 2) + 7189/54/(3*x + 2)^2 + 1421/81/(3*x + 2)^3 + 343/108/(3*x + 2)^4 + 6655*log(abs(-1/(3*x + 2) + 5))","A",0
1400,1,48,0,0.964849," ","integrate((1-2*x)^3/(2+3*x)^6/(3+5*x),x, algorithm=""giac"")","\frac{873269100 \, x^{4} + 2357826570 \, x^{3} + 2388229560 \, x^{2} + 1075586865 \, x + 181744346}{1620 \, {\left(3 \, x + 2\right)}^{5}} + 33275 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 33275 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/1620*(873269100*x^4 + 2357826570*x^3 + 2388229560*x^2 + 1075586865*x + 181744346)/(3*x + 2)^5 + 33275*log(abs(5*x + 3)) - 33275*log(abs(3*x + 2))","A",0
1401,1,53,0,1.064616," ","integrate((1-2*x)^3/(2+3*x)^7/(3+5*x),x, algorithm=""giac"")","\frac{13099036500 \, x^{5} + 44100089550 \, x^{4} + 59401704780 \, x^{3} + 40016101275 \, x^{2} + 13482032616 \, x + 1817443594}{1620 \, {\left(3 \, x + 2\right)}^{6}} + 166375 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 166375 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/1620*(13099036500*x^5 + 44100089550*x^4 + 59401704780*x^3 + 40016101275*x^2 + 13482032616*x + 1817443594)/(3*x + 2)^6 + 166375*log(abs(5*x + 3)) - 166375*log(abs(3*x + 2))","A",0
1402,1,58,0,1.066032," ","integrate((1-2*x)^3/(2+3*x)^8/(3+5*x),x, algorithm=""giac"")","\frac{196485547500 \, x^{6} + 792491708250 \, x^{5} + 1332026467200 \, x^{4} + 1194258563685 \, x^{3} + 602391504582 \, x^{2} + 162081979026 \, x + 18174436072}{1620 \, {\left(3 \, x + 2\right)}^{7}} + 831875 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 831875 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/1620*(196485547500*x^6 + 792491708250*x^5 + 1332026467200*x^4 + 1194258563685*x^3 + 602391504582*x^2 + 162081979026*x + 18174436072)/(3*x + 2)^7 + 831875*log(abs(5*x + 3)) - 831875*log(abs(3*x + 2))","A",0
1403,1,102,0,0.926268," ","integrate((1-2*x)^3*(2+3*x)^6/(3+5*x)^2,x, algorithm=""giac"")","\frac{1}{341796875} \, {\left(5 \, x + 3\right)}^{8} {\left(\frac{422820}{5 \, x + 3} - \frac{2021355}{{\left(5 \, x + 3\right)}^{2}} + \frac{474957}{{\left(5 \, x + 3\right)}^{3}} + \frac{9876195}{{\left(5 \, x + 3\right)}^{4}} + \frac{14499345}{{\left(5 \, x + 3\right)}^{5}} + \frac{10904215}{{\left(5 \, x + 3\right)}^{6}} + \frac{5836215}{{\left(5 \, x + 3\right)}^{7}} - 25515\right)} - \frac{1331}{9765625 \, {\left(5 \, x + 3\right)}} - \frac{23232}{9765625} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"1/341796875*(5*x + 3)^8*(422820/(5*x + 3) - 2021355/(5*x + 3)^2 + 474957/(5*x + 3)^3 + 9876195/(5*x + 3)^4 + 14499345/(5*x + 3)^5 + 10904215/(5*x + 3)^6 + 5836215/(5*x + 3)^7 - 25515) - 1331/9765625/(5*x + 3) - 23232/9765625*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1404,1,93,0,0.893337," ","integrate((1-2*x)^3*(2+3*x)^5/(3+5*x)^2,x, algorithm=""giac"")","\frac{1}{273437500} \, {\left(5 \, x + 3\right)}^{7} {\left(\frac{672840}{5 \, x + 3} - \frac{3503304}{{\left(5 \, x + 3\right)}^{2}} + \frac{2251305}{{\left(5 \, x + 3\right)}^{3}} + \frac{16557100}{{\left(5 \, x + 3\right)}^{4}} + \frac{20720140}{{\left(5 \, x + 3\right)}^{5}} + \frac{15264480}{{\left(5 \, x + 3\right)}^{6}} - 38880\right)} - \frac{1331}{1953125 \, {\left(5 \, x + 3\right)}} - \frac{19239}{1953125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"1/273437500*(5*x + 3)^7*(672840/(5*x + 3) - 3503304/(5*x + 3)^2 + 2251305/(5*x + 3)^3 + 16557100/(5*x + 3)^4 + 20720140/(5*x + 3)^5 + 15264480/(5*x + 3)^6 - 38880) - 1331/1953125/(5*x + 3) - 19239/1953125*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1405,1,84,0,1.019775," ","integrate((1-2*x)^3*(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","\frac{1}{3906250} \, {\left(5 \, x + 3\right)}^{6} {\left(\frac{19656}{5 \, x + 3} - \frac{112455}{{\left(5 \, x + 3\right)}^{2}} + \frac{121450}{{\left(5 \, x + 3\right)}^{3}} + \frac{530600}{{\left(5 \, x + 3\right)}^{4}} + \frac{632940}{{\left(5 \, x + 3\right)}^{5}} - 1080\right)} - \frac{1331}{390625 \, {\left(5 \, x + 3\right)}} - \frac{15246}{390625} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"1/3906250*(5*x + 3)^6*(19656/(5*x + 3) - 112455/(5*x + 3)^2 + 121450/(5*x + 3)^3 + 530600/(5*x + 3)^4 + 632940/(5*x + 3)^5 - 1080) - 1331/390625/(5*x + 3) - 15246/390625*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1406,1,75,0,0.807227," ","integrate((1-2*x)^3*(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","\frac{1}{781250} \, {\left(5 \, x + 3\right)}^{5} {\left(\frac{8370}{5 \, x + 3} - \frac{53700}{{\left(5 \, x + 3\right)}^{2}} + \frac{87575}{{\left(5 \, x + 3\right)}^{3}} + \frac{295350}{{\left(5 \, x + 3\right)}^{4}} - 432\right)} - \frac{1331}{78125 \, {\left(5 \, x + 3\right)}} - \frac{11253}{78125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"1/781250*(5*x + 3)^5*(8370/(5*x + 3) - 53700/(5*x + 3)^2 + 87575/(5*x + 3)^3 + 295350/(5*x + 3)^4 - 432) - 1331/78125/(5*x + 3) - 11253/78125*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1407,1,66,0,1.024847," ","integrate((1-2*x)^3*(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","\frac{1}{15625} \, {\left(5 \, x + 3\right)}^{4} {\left(\frac{380}{5 \, x + 3} - \frac{2875}{{\left(5 \, x + 3\right)}^{2}} + \frac{7755}{{\left(5 \, x + 3\right)}^{3}} - 18\right)} - \frac{1331}{15625 \, {\left(5 \, x + 3\right)}} - \frac{1452}{3125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"1/15625*(5*x + 3)^4*(380/(5*x + 3) - 2875/(5*x + 3)^2 + 7755/(5*x + 3)^3 - 18) - 1331/15625/(5*x + 3) - 1452/3125*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1408,1,57,0,0.882407," ","integrate((1-2*x)^3*(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","\frac{2}{3125} \, {\left(5 \, x + 3\right)}^{3} {\left(\frac{97}{5 \, x + 3} - \frac{1023}{{\left(5 \, x + 3\right)}^{2}} - 4\right)} - \frac{1331}{3125 \, {\left(5 \, x + 3\right)}} - \frac{3267}{3125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"2/3125*(5*x + 3)^3*(97/(5*x + 3) - 1023/(5*x + 3)^2 - 4) - 1331/3125/(5*x + 3) - 3267/3125*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1409,1,48,0,0.980386," ","integrate((1-2*x)^3/(3+5*x)^2,x, algorithm=""giac"")","\frac{4}{625} \, {\left(5 \, x + 3\right)}^{2} {\left(\frac{33}{5 \, x + 3} - 1\right)} - \frac{1331}{625 \, {\left(5 \, x + 3\right)}} + \frac{726}{625} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right)"," ",0,"4/625*(5*x + 3)^2*(33/(5*x + 3) - 1) - 1331/625/(5*x + 3) + 726/625*log(1/5*abs(5*x + 3)/(5*x + 3)^2)","A",0
1410,1,47,0,1.072512," ","integrate((1-2*x)^3/(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{8}{75} \, x - \frac{1331}{125 \, {\left(5 \, x + 3\right)}} - \frac{404}{1125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) + \frac{343}{9} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{8}{125}"," ",0,"-8/75*x - 1331/125/(5*x + 3) - 404/1125*log(1/5*abs(5*x + 3)/(5*x + 3)^2) + 343/9*log(abs(-1/(5*x + 3) - 3)) - 8/125","A",0
1411,1,56,0,1.002531," ","integrate((1-2*x)^3/(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1331}{25 \, {\left(5 \, x + 3\right)}} + \frac{1715}{3 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}} + \frac{8}{225} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) + \frac{3136}{9} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-1331/25/(5*x + 3) + 1715/3/(1/(5*x + 3) + 3) + 8/225*log(1/5*abs(5*x + 3)/(5*x + 3)^2) + 3136/9*log(abs(-1/(5*x + 3) - 3))","A",0
1412,1,49,0,0.943480," ","integrate((1-2*x)^3/(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1331}{5 \, {\left(5 \, x + 3\right)}} + \frac{245 \, {\left(\frac{66}{5 \, x + 3} + 163\right)}}{2 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{2}} + 2541 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-1331/5/(5*x + 3) + 245/2*(66/(5*x + 3) + 163)/(1/(5*x + 3) + 3)^2 + 2541*log(abs(-1/(5*x + 3) - 3))","A",0
1413,1,58,0,0.882128," ","integrate((1-2*x)^3/(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1331}{5 \, x + 3} + \frac{35 \, {\left(\frac{11119}{5 \, x + 3} + \frac{2244}{{\left(5 \, x + 3\right)}^{2}} + 14386\right)}}{{\left(\frac{1}{5 \, x + 3} + 3\right)}^{3}} + 16698 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-1331/(5*x + 3) + 35*(11119/(5*x + 3) + 2244/(5*x + 3)^2 + 14386)/(1/(5*x + 3) + 3)^3 + 16698*log(abs(-1/(5*x + 3) - 3))","A",0
1414,1,67,0,0.811101," ","integrate((1-2*x)^3/(2+3*x)^5/(3+5*x)^2,x, algorithm=""giac"")","-\frac{6655}{5 \, x + 3} + \frac{5 \, {\left(\frac{9923332}{5 \, x + 3} + \frac{3831284}{{\left(5 \, x + 3\right)}^{2}} + \frac{514536}{{\left(5 \, x + 3\right)}^{3}} + 8795037\right)}}{4 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{4}} + 103455 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-6655/(5*x + 3) + 5/4*(9923332/(5*x + 3) + 3831284/(5*x + 3)^2 + 514536/(5*x + 3)^3 + 8795037)/(1/(5*x + 3) + 3)^4 + 103455*log(abs(-1/(5*x + 3) - 3))","A",0
1415,1,76,0,0.905165," ","integrate((1-2*x)^3/(2+3*x)^6/(3+5*x)^2,x, algorithm=""giac"")","-\frac{33275}{5 \, x + 3} + \frac{25 \, {\left(\frac{13068279}{5 \, x + 3} + \frac{7369449}{{\left(5 \, x + 3\right)}^{2}} + \frac{1895648}{{\left(5 \, x + 3\right)}^{3}} + \frac{190707}{{\left(5 \, x + 3\right)}^{4}} + 8846550\right)}}{{\left(\frac{1}{5 \, x + 3} + 3\right)}^{5}} + 617100 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-33275/(5*x + 3) + 25*(13068279/(5*x + 3) + 7369449/(5*x + 3)^2 + 1895648/(5*x + 3)^3 + 190707/(5*x + 3)^4 + 8846550)/(1/(5*x + 3) + 3)^5 + 617100*log(abs(-1/(5*x + 3) - 3))","A",0
1416,1,85,0,1.124713," ","integrate((1-2*x)^3/(2+3*x)^7/(3+5*x)^2,x, algorithm=""giac"")","-\frac{166375}{5 \, x + 3} + \frac{125 \, {\left(\frac{246075138}{5 \, x + 3} + \frac{181716633}{{\left(5 \, x + 3\right)}^{2}} + \frac{68296076}{{\left(5 \, x + 3\right)}^{3}} + \frac{13169954}{{\left(5 \, x + 3\right)}^{4}} + \frac{1059036}{{\left(5 \, x + 3\right)}^{5}} + 135033993\right)}}{4 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{6}} + 3584625 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-166375/(5*x + 3) + 125/4*(246075138/(5*x + 3) + 181716633/(5*x + 3)^2 + 68296076/(5*x + 3)^3 + 13169954/(5*x + 3)^4 + 1059036/(5*x + 3)^5 + 135033993)/(1/(5*x + 3) + 3)^6 + 3584625*log(abs(-1/(5*x + 3) - 3))","A",0
1417,1,94,0,0.860307," ","integrate((1-2*x)^3/(2+3*x)^8/(3+5*x)^2,x, algorithm=""giac"")","-\frac{831875}{5 \, x + 3} + \frac{625 \, {\left(\frac{537521373}{5 \, x + 3} + \frac{489712095}{{\left(5 \, x + 3\right)}^{2}} + \frac{241051911}{{\left(5 \, x + 3\right)}^{3}} + \frac{67932770}{{\left(5 \, x + 3\right)}^{4}} + \frac{10476370}{{\left(5 \, x + 3\right)}^{5}} + \frac{701580}{{\left(5 \, x + 3\right)}^{6}} + 248285331\right)}}{2 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{7}} + 20418750 \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right)"," ",0,"-831875/(5*x + 3) + 625/2*(537521373/(5*x + 3) + 489712095/(5*x + 3)^2 + 241051911/(5*x + 3)^3 + 67932770/(5*x + 3)^4 + 10476370/(5*x + 3)^5 + 701580/(5*x + 3)^6 + 248285331)/(1/(5*x + 3) + 3)^7 + 20418750*log(abs(-1/(5*x + 3) - 3))","A",0
1418,1,62,0,0.941199," ","integrate((1-2*x)^3*(2+3*x)^7/(3+5*x)^3,x, algorithm=""giac"")","-\frac{2187}{125} \, x^{8} - \frac{119556}{4375} \, x^{7} + \frac{33291}{3125} \, x^{6} + \frac{491913}{15625} \, x^{5} + \frac{6507}{62500} \, x^{4} - \frac{5918904}{390625} \, x^{3} - \frac{2300646}{1953125} \, x^{2} + \frac{46214407}{9765625} \, x - \frac{121 \, {\left(2250 \, x + 1361\right)}}{97656250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{47289}{9765625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-2187/125*x^8 - 119556/4375*x^7 + 33291/3125*x^6 + 491913/15625*x^5 + 6507/62500*x^4 - 5918904/390625*x^3 - 2300646/1953125*x^2 + 46214407/9765625*x - 121/97656250*(2250*x + 1361)/(5*x + 3)^2 + 47289/9765625*log(abs(5*x + 3))","A",0
1419,1,57,0,1.158442," ","integrate((1-2*x)^3*(2+3*x)^6/(3+5*x)^3,x, algorithm=""giac"")","-\frac{5832}{875} \, x^{7} - \frac{3402}{625} \, x^{6} + \frac{134622}{15625} \, x^{5} + \frac{74223}{12500} \, x^{4} - \frac{81747}{15625} \, x^{3} - \frac{915777}{390625} \, x^{2} + \frac{4571416}{1953125} \, x - \frac{121 \, {\left(1920 \, x + 1163\right)}}{19531250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{166749}{9765625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-5832/875*x^7 - 3402/625*x^6 + 134622/15625*x^5 + 74223/12500*x^4 - 81747/15625*x^3 - 915777/390625*x^2 + 4571416/1953125*x - 121/19531250*(1920*x + 1163)/(5*x + 3)^2 + 166749/9765625*log(abs(5*x + 3))","A",0
1420,1,52,0,1.091458," ","integrate((1-2*x)^3*(2+3*x)^5/(3+5*x)^3,x, algorithm=""giac"")","-\frac{324}{125} \, x^{6} - \frac{324}{3125} \, x^{5} + \frac{22977}{6250} \, x^{4} - \frac{393}{625} \, x^{3} - \frac{62097}{31250} \, x^{2} + \frac{424432}{390625} \, x - \frac{121 \, {\left(318 \, x + 193\right)}}{781250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{109032}{1953125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-324/125*x^6 - 324/3125*x^5 + 22977/6250*x^4 - 393/625*x^3 - 62097/31250*x^2 + 424432/390625*x - 121/781250*(318*x + 193)/(5*x + 3)^2 + 109032/1953125*log(abs(5*x + 3))","A",0
1421,1,47,0,0.916674," ","integrate((1-2*x)^3*(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","-\frac{648}{625} \, x^{5} + \frac{513}{625} \, x^{4} + \frac{2826}{3125} \, x^{3} - \frac{7617}{6250} \, x^{2} + \frac{4691}{15625} \, x - \frac{121 \, {\left(1260 \, x + 767\right)}}{781250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{63294}{390625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-648/625*x^5 + 513/625*x^4 + 2826/3125*x^3 - 7617/6250*x^2 + 4691/15625*x - 121/781250*(1260*x + 767)/(5*x + 3)^2 + 63294/390625*log(abs(5*x + 3))","A",0
1422,1,42,0,0.784608," ","integrate((1-2*x)^3*(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{54}{125} \, x^{4} + \frac{468}{625} \, x^{3} - \frac{927}{3125} \, x^{2} - \frac{1303}{3125} \, x - \frac{121 \, {\left(930 \, x + 569\right)}}{156250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{5907}{15625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-54/125*x^4 + 468/625*x^3 - 927/3125*x^2 - 1303/3125*x - 121/156250*(930*x + 569)/(5*x + 3)^2 + 5907/15625*log(abs(5*x + 3))","A",0
1423,1,37,0,0.881166," ","integrate((1-2*x)^3*(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","-\frac{24}{125} \, x^{3} + \frac{354}{625} \, x^{2} - \frac{2978}{3125} \, x - \frac{121 \, {\left(600 \, x + 371\right)}}{31250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{1551}{3125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-24/125*x^3 + 354/625*x^2 - 2978/3125*x - 121/31250*(600*x + 371)/(5*x + 3)^2 + 1551/3125*log(abs(5*x + 3))","A",0
1424,1,32,0,0.913574," ","integrate((1-2*x)^3*(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{12}{125} \, x^{2} + \frac{316}{625} \, x - \frac{121 \, {\left(270 \, x + 173\right)}}{6250 \, {\left(5 \, x + 3\right)}^{2}} - \frac{2046}{3125} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-12/125*x^2 + 316/625*x - 121/6250*(270*x + 173)/(5*x + 3)^2 - 2046/3125*log(abs(5*x + 3))","A",0
1425,1,27,0,0.932080," ","integrate((1-2*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{8}{125} \, x + \frac{121 \, {\left(12 \, x + 5\right)}}{250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{132}{625} \, \log\left({\left| 5 \, x + 3 \right|}\right)"," ",0,"-8/125*x + 121/250*(12*x + 5)/(5*x + 3)^2 + 132/625*log(abs(5*x + 3))","A",0
1426,1,33,0,0.969443," ","integrate((1-2*x)^3/(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{121 \, {\left(390 \, x + 223\right)}}{250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{14289}{125} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{343}{3} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"121/250*(390*x + 223)/(5*x + 3)^2 + 14289/125*log(abs(5*x + 3)) - 343/3*log(abs(3*x + 2))","A",0
1427,1,49,0,1.159310," ","integrate((1-2*x)^3/(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{343}{3 \, {\left(3 \, x + 2\right)}} - \frac{1089 \, {\left(\frac{14}{3 \, x + 2} - 59\right)}}{2 \, {\left(\frac{1}{3 \, x + 2} - 5\right)}^{2}} + 1617 \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right)"," ",0,"343/3/(3*x + 2) - 1089/2*(14/(3*x + 2) - 59)/(1/(3*x + 2) - 5)^2 + 1617*log(abs(-1/(3*x + 2) + 5))","A",0
1428,1,48,0,1.013627," ","integrate((1-2*x)^3/(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{7068600 \, x^{3} + 13430348 \, x^{2} + 8492784 \, x + 1787403}{30 \, {\left(15 \, x^{2} + 19 \, x + 6\right)}^{2}} + 15708 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 15708 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/30*(7068600*x^3 + 13430348*x^2 + 8492784*x + 1787403)/(15*x^2 + 19*x + 6)^2 + 15708*log(abs(5*x + 3)) - 15708*log(abs(3*x + 2))","A",0
1429,1,55,0,0.908027," ","integrate((1-2*x)^3/(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","\frac{104193540 \, x^{4} + 267430086 \, x^{3} + 257165096 \, x^{2} + 109804551 \, x + 17564616}{18 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{3}} + 128634 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 128634 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/18*(104193540*x^4 + 267430086*x^3 + 257165096*x^2 + 109804551*x + 17564616)/((5*x + 3)^2*(3*x + 2)^3) + 128634*log(abs(5*x + 3)) - 128634*log(abs(3*x + 2))","A",0
1430,1,76,0,0.868826," ","integrate((1-2*x)^3/(2+3*x)^5/(3+5*x)^3,x, algorithm=""giac"")","\frac{128634}{3 \, x + 2} - \frac{27225 \, {\left(\frac{136}{3 \, x + 2} - 625\right)}}{2 \, {\left(\frac{1}{3 \, x + 2} - 5\right)}^{2}} + \frac{7854}{{\left(3 \, x + 2\right)}^{2}} + \frac{539}{{\left(3 \, x + 2\right)}^{3}} + \frac{343}{12 \, {\left(3 \, x + 2\right)}^{4}} + 953535 \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right)"," ",0,"128634/(3*x + 2) - 27225/2*(136/(3*x + 2) - 625)/(1/(3*x + 2) - 5)^2 + 7854/(3*x + 2)^2 + 539/(3*x + 2)^3 + 343/12/(3*x + 2)^4 + 953535*log(abs(-1/(3*x + 2) + 5))","A",0
1431,1,65,0,1.123025," ","integrate((1-2*x)^3/(2+3*x)^6/(3+5*x)^3,x, algorithm=""giac"")","\frac{160841092500 \, x^{6} + 627280260750 \, x^{5} + 1018898535600 \, x^{4} + 882286862985 \, x^{3} + 429553050280 \, x^{2} + 111486629505 \, x + 12050702538}{60 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{5}} + 6618975 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 6618975 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/60*(160841092500*x^6 + 627280260750*x^5 + 1018898535600*x^4 + 882286862985*x^3 + 429553050280*x^2 + 111486629505*x + 12050702538)/((5*x + 3)^2*(3*x + 2)^5) + 6618975*log(abs(5*x + 3)) - 6618975*log(abs(3*x + 2))","A",0
1432,1,70,0,0.978659," ","integrate((1-2*x)^3/(2+3*x)^7/(3+5*x)^3,x, algorithm=""giac"")","\frac{4794860812500 \, x^{7} + 21896531043750 \, x^{6} + 42841193422500 \, x^{5} + 46551705341625 \, x^{4} + 30340145968110 \, x^{3} + 11860532030465 \, x^{2} + 2574943269792 \, x + 239497011063}{90 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{6}} + 43848750 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 43848750 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/90*(4794860812500*x^7 + 21896531043750*x^6 + 42841193422500*x^5 + 46551705341625*x^4 + 30340145968110*x^3 + 11860532030465*x^2 + 2574943269792*x + 239497011063)/((5*x + 3)^2*(3*x + 2)^6) + 43848750*log(abs(5*x + 3)) - 43848750*log(abs(3*x + 2))","A",0
1433,1,75,0,1.068746," ","integrate((1-2*x)^3/(2+3*x)^8/(3+5*x)^3,x, algorithm=""giac"")","\frac{30672675000000 \, x^{8} + 160520332500000 \, x^{7} + 367435926000000 \, x^{6} + 480493891350000 \, x^{5} + 392612784696000 \, x^{4} + 205262100529200 \, x^{3} + 67053019228048 \, x^{2} + 12513316868859 \, x + 1021373267628}{30 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{7}} + 280500000 \, \log\left({\left| 5 \, x + 3 \right|}\right) - 280500000 \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/30*(30672675000000*x^8 + 160520332500000*x^7 + 367435926000000*x^6 + 480493891350000*x^5 + 392612784696000*x^4 + 205262100529200*x^3 + 67053019228048*x^2 + 12513316868859*x + 1021373267628)/((5*x + 3)^2*(3*x + 2)^7) + 280500000*log(abs(5*x + 3)) - 280500000*log(abs(3*x + 2))","A",0
1434,1,53,0,1.068122," ","integrate((2+3*x)^8*(3+5*x)/(1-2*x),x, algorithm=""giac"")","-\frac{3645}{2} \, x^{9} - \frac{422091}{32} \, x^{8} - \frac{353565}{8} \, x^{7} - \frac{2929689}{32} \, x^{6} - \frac{21272139}{160} \, x^{5} - \frac{37722699}{256} \, x^{4} - \frac{17391129}{128} \, x^{3} - \frac{60332619}{512} \, x^{2} - \frac{63019595}{512} \, x - \frac{63412811}{1024} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-3645/2*x^9 - 422091/32*x^8 - 353565/8*x^7 - 2929689/32*x^6 - 21272139/160*x^5 - 37722699/256*x^4 - 17391129/128*x^3 - 60332619/512*x^2 - 63019595/512*x - 63412811/1024*log(abs(2*x - 1))","A",0
1435,1,48,0,0.955355," ","integrate((2+3*x)^7*(3+5*x)/(1-2*x),x, algorithm=""giac"")","-\frac{10935}{16} \, x^{8} - \frac{126117}{28} \, x^{7} - \frac{218943}{16} \, x^{6} - \frac{2053917}{80} \, x^{5} - \frac{4352157}{128} \, x^{4} - \frac{2257119}{64} \, x^{3} - \frac{8362653}{256} \, x^{2} - \frac{8960669}{256} \, x - \frac{9058973}{512} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-10935/16*x^8 - 126117/28*x^7 - 218943/16*x^6 - 2053917/80*x^5 - 4352157/128*x^4 - 2257119/64*x^3 - 8362653/256*x^2 - 8960669/256*x - 9058973/512*log(abs(2*x - 1))","A",0
1436,1,43,0,1.062293," ","integrate((2+3*x)^6*(3+5*x)/(1-2*x),x, algorithm=""giac"")","-\frac{3645}{14} \, x^{7} - \frac{12393}{8} \, x^{6} - \frac{169371}{40} \, x^{5} - \frac{458811}{64} \, x^{4} - \frac{279657}{32} \, x^{3} - \frac{1138491}{128} \, x^{2} - \frac{1269563}{128} \, x - \frac{1294139}{256} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-3645/14*x^7 - 12393/8*x^6 - 169371/40*x^5 - 458811/64*x^4 - 279657/32*x^3 - 1138491/128*x^2 - 1269563/128*x - 1294139/256*log(abs(2*x - 1))","A",0
1437,1,38,0,0.843621," ","integrate((2+3*x)^5*(3+5*x)/(1-2*x),x, algorithm=""giac"")","-\frac{405}{4} \, x^{6} - \frac{10773}{20} \, x^{5} - \frac{42093}{32} \, x^{4} - \frac{32271}{16} \, x^{3} - \frac{150573}{64} \, x^{2} - \frac{178733}{64} \, x - \frac{184877}{128} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-405/4*x^6 - 10773/20*x^5 - 42093/32*x^4 - 32271/16*x^3 - 150573/64*x^2 - 178733/64*x - 184877/128*log(abs(2*x - 1))","A",0
1438,1,33,0,1.042916," ","integrate((2+3*x)^4*(3+5*x)/(1-2*x),x, algorithm=""giac"")","-\frac{81}{2} \, x^{5} - \frac{3051}{16} \, x^{4} - \frac{3321}{8} \, x^{3} - \frac{18987}{32} \, x^{2} - \frac{24875}{32} \, x - \frac{26411}{64} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-81/2*x^5 - 3051/16*x^4 - 3321/8*x^3 - 18987/32*x^2 - 24875/32*x - 26411/64*log(abs(2*x - 1))","A",0
1439,1,28,0,1.019175," ","integrate((2+3*x)^3*(3+5*x)/(1-2*x),x, algorithm=""giac"")","-\frac{135}{8} \, x^{4} - \frac{279}{4} \, x^{3} - \frac{2205}{16} \, x^{2} - \frac{3389}{16} \, x - \frac{3773}{32} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-135/8*x^4 - 279/4*x^3 - 2205/16*x^2 - 3389/16*x - 3773/32*log(abs(2*x - 1))","A",0
1440,1,23,0,0.853660," ","integrate((2+3*x)^2*(3+5*x)/(1-2*x),x, algorithm=""giac"")","-\frac{15}{2} \, x^{3} - \frac{219}{8} \, x^{2} - \frac{443}{8} \, x - \frac{539}{16} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-15/2*x^3 - 219/8*x^2 - 443/8*x - 539/16*log(abs(2*x - 1))","A",0
1441,1,18,0,0.674067," ","integrate((2+3*x)*(3+5*x)/(1-2*x),x, algorithm=""giac"")","-\frac{15}{4} \, x^{2} - \frac{53}{4} \, x - \frac{77}{8} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-15/4*x^2 - 53/4*x - 77/8*log(abs(2*x - 1))","A",0
1442,1,13,0,1.123793," ","integrate((3+5*x)/(1-2*x),x, algorithm=""giac"")","-\frac{5}{2} \, x - \frac{11}{4} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-5/2*x - 11/4*log(abs(2*x - 1))","A",0
1443,1,19,0,0.950083," ","integrate((3+5*x)/(1-2*x)/(2+3*x),x, algorithm=""giac"")","-\frac{1}{21} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{11}{14} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/21*log(abs(3*x + 2)) - 11/14*log(abs(2*x - 1))","A",0
1444,1,25,0,0.780514," ","integrate((3+5*x)/(1-2*x)/(2+3*x)^2,x, algorithm=""giac"")","\frac{1}{21 \, {\left(3 \, x + 2\right)}} - \frac{11}{49} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"1/21/(3*x + 2) - 11/49*log(abs(-7/(3*x + 2) + 2))","A",0
1445,1,33,0,1.100036," ","integrate((3+5*x)/(1-2*x)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{198 \, x + 125}{294 \, {\left(3 \, x + 2\right)}^{2}} + \frac{22}{343} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{22}{343} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/294*(198*x + 125)/(3*x + 2)^2 + 22/343*log(abs(3*x + 2)) - 22/343*log(abs(2*x - 1))","A",0
1446,1,38,0,0.924142," ","integrate((3+5*x)/(1-2*x)/(2+3*x)^4,x, algorithm=""giac"")","-\frac{3564 \, x^{2} + 6831 \, x + 2872}{6174 \, {\left(3 \, x + 2\right)}^{3}} + \frac{44}{2401} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{44}{2401} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/6174*(3564*x^2 + 6831*x + 2872)/(3*x + 2)^3 + 44/2401*log(abs(3*x + 2)) - 44/2401*log(abs(2*x - 1))","A",0
1447,1,52,0,0.891883," ","integrate((3+5*x)/(1-2*x)/(2+3*x)^5,x, algorithm=""giac"")","-\frac{44}{2401 \, {\left(3 \, x + 2\right)}} - \frac{11}{343 \, {\left(3 \, x + 2\right)}^{2}} - \frac{11}{147 \, {\left(3 \, x + 2\right)}^{3}} + \frac{1}{84 \, {\left(3 \, x + 2\right)}^{4}} - \frac{88}{16807} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"-44/2401/(3*x + 2) - 11/343/(3*x + 2)^2 - 11/147/(3*x + 2)^3 + 1/84/(3*x + 2)^4 - 88/16807*log(abs(-7/(3*x + 2) + 2))","A",0
1448,1,48,0,0.880046," ","integrate((3+5*x)/(1-2*x)/(2+3*x)^6,x, algorithm=""giac"")","-\frac{427680 \, x^{4} + 1389960 \, x^{3} + 1833480 \, x^{2} + 1268025 \, x + 348226}{1008420 \, {\left(3 \, x + 2\right)}^{5}} + \frac{176}{117649} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{176}{117649} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/1008420*(427680*x^4 + 1389960*x^3 + 1833480*x^2 + 1268025*x + 348226)/(3*x + 2)^5 + 176/117649*log(abs(3*x + 2)) - 176/117649*log(abs(2*x - 1))","A",0
1449,1,53,0,0.980289," ","integrate((3+5*x)/(1-2*x)/(2+3*x)^7,x, algorithm=""giac"")","-\frac{3849120 \, x^{5} + 15075720 \, x^{4} + 24841080 \, x^{3} + 22413105 \, x^{2} + 12254814 \, x + 3013741}{10588410 \, {\left(3 \, x + 2\right)}^{6}} + \frac{352}{823543} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{352}{823543} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/10588410*(3849120*x^5 + 15075720*x^4 + 24841080*x^3 + 22413105*x^2 + 12254814*x + 3013741)/(3*x + 2)^6 + 352/823543*log(abs(3*x + 2)) - 352/823543*log(abs(2*x - 1))","A",0
1450,1,58,0,1.097158," ","integrate((3+5*x)/(1-2*x)/(2+3*x)^8,x, algorithm=""giac"")","-\frac{7698240 \, x^{6} + 35283600 \, x^{5} + 69783120 \, x^{4} + 77947650 \, x^{3} + 54393768 \, x^{2} + 25308459 \, x + 5811068}{24706290 \, {\left(3 \, x + 2\right)}^{7}} + \frac{704}{5764801} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{704}{5764801} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/24706290*(7698240*x^6 + 35283600*x^5 + 69783120*x^4 + 77947650*x^3 + 54393768*x^2 + 25308459*x + 5811068)/(3*x + 2)^7 + 704/5764801*log(abs(3*x + 2)) - 704/5764801*log(abs(2*x - 1))","A",0
1451,1,58,0,0.927862," ","integrate((2+3*x)^8*(3+5*x)^2/(1-2*x),x, algorithm=""giac"")","-\frac{32805}{4} \, x^{10} - \frac{256365}{4} \, x^{9} - \frac{14907321}{64} \, x^{8} - \frac{8399295}{16} \, x^{7} - \frac{53031699}{64} \, x^{6} - \frac{316246329}{320} \, x^{5} - \frac{487203129}{512} \, x^{4} - \frac{204901139}{256} \, x^{3} - \frac{677093689}{1024} \, x^{2} - \frac{695181625}{1024} \, x - \frac{697540921}{2048} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-32805/4*x^10 - 256365/4*x^9 - 14907321/64*x^8 - 8399295/16*x^7 - 53031699/64*x^6 - 316246329/320*x^5 - 487203129/512*x^4 - 204901139/256*x^3 - 677093689/1024*x^2 - 695181625/1024*x - 697540921/2048*log(abs(2*x - 1))","A",0
1452,1,53,0,1.081420," ","integrate((2+3*x)^7*(3+5*x)^2/(1-2*x),x, algorithm=""giac"")","-\frac{6075}{2} \, x^{9} - \frac{696195}{32} \, x^{8} - \frac{4040847}{56} \, x^{7} - \frac{4736853}{32} \, x^{6} - \frac{34084287}{160} \, x^{5} - \frac{59969727}{256} \, x^{4} - \frac{27480469}{128} \, x^{3} - \frac{94979263}{512} \, x^{2} - \frac{99058879}{512} \, x - \frac{99648703}{1024} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-6075/2*x^9 - 696195/32*x^8 - 4040847/56*x^7 - 4736853/32*x^6 - 34084287/160*x^5 - 59969727/256*x^4 - 27480469/128*x^3 - 94979263/512*x^2 - 99058879/512*x - 99648703/1024*log(abs(2*x - 1))","A",0
1453,1,48,0,0.995703," ","integrate((2+3*x)^6*(3+5*x)^2/(1-2*x),x, algorithm=""giac"")","-\frac{18225}{16} \, x^{8} - \frac{207765}{28} \, x^{7} - \frac{356643}{16} \, x^{6} - \frac{3310281}{80} \, x^{5} - \frac{6947721}{128} \, x^{4} - \frac{3575427}{64} \, x^{3} - \frac{13178761}{256} \, x^{2} - \frac{14088073}{256} \, x - \frac{14235529}{512} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-18225/16*x^8 - 207765/28*x^7 - 356643/16*x^6 - 3310281/80*x^5 - 6947721/128*x^4 - 3575427/64*x^3 - 13178761/256*x^2 - 14088073/256*x - 14235529/512*log(abs(2*x - 1))","A",0
1454,1,43,0,1.000735," ","integrate((2+3*x)^5*(3+5*x)^2/(1-2*x),x, algorithm=""giac"")","-\frac{6075}{14} \, x^{7} - \frac{20385}{8} \, x^{6} - \frac{275103}{40} \, x^{5} - \frac{736623}{64} \, x^{4} - \frac{444581}{32} \, x^{3} - \frac{1797103}{128} \, x^{2} - \frac{1996783}{128} \, x - \frac{2033647}{256} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-6075/14*x^7 - 20385/8*x^6 - 275103/40*x^5 - 736623/64*x^4 - 444581/32*x^3 - 1797103/128*x^2 - 1996783/128*x - 2033647/256*log(abs(2*x - 1))","A",0
1455,1,38,0,0.911170," ","integrate((2+3*x)^4*(3+5*x)^2/(1-2*x),x, algorithm=""giac"")","-\frac{675}{4} \, x^{6} - \frac{3537}{4} \, x^{5} - \frac{68121}{32} \, x^{4} - \frac{51571}{16} \, x^{3} - \frac{238297}{64} \, x^{2} - \frac{281305}{64} \, x - \frac{290521}{128} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-675/4*x^6 - 3537/4*x^5 - 68121/32*x^4 - 51571/16*x^3 - 238297/64*x^2 - 281305/64*x - 290521/128*log(abs(2*x - 1))","A",0
1456,1,33,0,1.050550," ","integrate((2+3*x)^3*(3+5*x)^2/(1-2*x),x, algorithm=""giac"")","-\frac{135}{2} \, x^{5} - \frac{4995}{16} \, x^{4} - \frac{5349}{8} \, x^{3} - \frac{30175}{32} \, x^{2} - \frac{39199}{32} \, x - \frac{41503}{64} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-135/2*x^5 - 4995/16*x^4 - 5349/8*x^3 - 30175/32*x^2 - 39199/32*x - 41503/64*log(abs(2*x - 1))","A",0
1457,1,28,0,0.942509," ","integrate((2+3*x)^2*(3+5*x)^2/(1-2*x),x, algorithm=""giac"")","-\frac{225}{8} \, x^{4} - \frac{455}{4} \, x^{3} - \frac{3529}{16} \, x^{2} - \frac{5353}{16} \, x - \frac{5929}{32} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-225/8*x^4 - 455/4*x^3 - 3529/16*x^2 - 5353/16*x - 5929/32*log(abs(2*x - 1))","A",0
1458,1,23,0,0.889379," ","integrate((2+3*x)*(3+5*x)^2/(1-2*x),x, algorithm=""giac"")","-\frac{25}{2} \, x^{3} - \frac{355}{8} \, x^{2} - \frac{703}{8} \, x - \frac{847}{16} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-25/2*x^3 - 355/8*x^2 - 703/8*x - 847/16*log(abs(2*x - 1))","A",0
1459,1,18,0,0.884132," ","integrate((3+5*x)^2/(1-2*x),x, algorithm=""giac"")","-\frac{25}{4} \, x^{2} - \frac{85}{4} \, x - \frac{121}{8} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-25/4*x^2 - 85/4*x - 121/8*log(abs(2*x - 1))","A",0
1460,1,22,0,0.916987," ","integrate((3+5*x)^2/(1-2*x)/(2+3*x),x, algorithm=""giac"")","-\frac{25}{6} \, x + \frac{1}{63} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{121}{28} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-25/6*x + 1/63*log(abs(3*x + 2)) - 121/28*log(abs(2*x - 1))","A",0
1461,1,43,0,1.087955," ","integrate((3+5*x)^2/(1-2*x)/(2+3*x)^2,x, algorithm=""giac"")","-\frac{1}{63 \, {\left(3 \, x + 2\right)}} + \frac{25}{18} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right) - \frac{121}{98} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"-1/63/(3*x + 2) + 25/18*log(1/3*abs(3*x + 2)/(3*x + 2)^2) - 121/98*log(abs(-7/(3*x + 2) + 2))","A",0
1462,1,33,0,0.965356," ","integrate((3+5*x)^2/(1-2*x)/(2+3*x)^3,x, algorithm=""giac"")","\frac{408 \, x + 265}{882 \, {\left(3 \, x + 2\right)}^{2}} + \frac{121}{343} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{121}{343} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/882*(408*x + 265)/(3*x + 2)^2 + 121/343*log(abs(3*x + 2)) - 121/343*log(abs(2*x - 1))","A",0
1463,1,38,0,0.918845," ","integrate((3+5*x)^2/(1-2*x)/(2+3*x)^4,x, algorithm=""giac"")","-\frac{29403 \, x^{2} + 37062 \, x + 11689}{9261 \, {\left(3 \, x + 2\right)}^{3}} + \frac{242}{2401} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{242}{2401} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/9261*(29403*x^2 + 37062*x + 11689)/(3*x + 2)^3 + 242/2401*log(abs(3*x + 2)) - 242/2401*log(abs(2*x - 1))","A",0
1464,1,52,0,0.945281," ","integrate((3+5*x)^2/(1-2*x)/(2+3*x)^5,x, algorithm=""giac"")","-\frac{242}{2401 \, {\left(3 \, x + 2\right)}} - \frac{121}{686 \, {\left(3 \, x + 2\right)}^{2}} + \frac{68}{1323 \, {\left(3 \, x + 2\right)}^{3}} - \frac{1}{252 \, {\left(3 \, x + 2\right)}^{4}} - \frac{484}{16807} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"-242/2401/(3*x + 2) - 121/686/(3*x + 2)^2 + 68/1323/(3*x + 2)^3 - 1/252/(3*x + 2)^4 - 484/16807*log(abs(-7/(3*x + 2) + 2))","A",0
1465,1,48,0,0.873768," ","integrate((3+5*x)^2/(1-2*x)/(2+3*x)^6,x, algorithm=""giac"")","-\frac{1764180 \, x^{4} + 5733585 \, x^{3} + 7563105 \, x^{2} + 4442775 \, x + 953231}{756315 \, {\left(3 \, x + 2\right)}^{5}} + \frac{968}{117649} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{968}{117649} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/756315*(1764180*x^4 + 5733585*x^3 + 7563105*x^2 + 4442775*x + 953231)/(3*x + 2)^5 + 968/117649*log(abs(3*x + 2)) - 968/117649*log(abs(2*x - 1))","A",0
1466,1,53,0,1.067181," ","integrate((3+5*x)^2/(1-2*x)/(2+3*x)^7,x, algorithm=""giac"")","-\frac{127020960 \, x^{5} + 497498760 \, x^{4} + 819755640 \, x^{3} + 739632465 \, x^{2} + 351466812 \, x + 67099978}{63530460 \, {\left(3 \, x + 2\right)}^{6}} + \frac{1936}{823543} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{1936}{823543} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/63530460*(127020960*x^5 + 497498760*x^4 + 819755640*x^3 + 739632465*x^2 + 351466812*x + 67099978)/(3*x + 2)^6 + 1936/823543*log(abs(3*x + 2)) - 1936/823543*log(abs(2*x - 1))","A",0
1467,1,58,0,0.943040," ","integrate((3+5*x)^2/(1-2*x)/(2+3*x)^8,x, algorithm=""giac"")","-\frac{381062880 \, x^{6} + 1746538200 \, x^{5} + 3454264440 \, x^{4} + 3858408675 \, x^{3} + 2692491516 \, x^{2} + 1098354408 \, x + 193528666}{222356610 \, {\left(3 \, x + 2\right)}^{7}} + \frac{3872}{5764801} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{3872}{5764801} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/222356610*(381062880*x^6 + 1746538200*x^5 + 3454264440*x^4 + 3858408675*x^3 + 2692491516*x^2 + 1098354408*x + 193528666)/(3*x + 2)^7 + 3872/5764801*log(abs(3*x + 2)) - 3872/5764801*log(abs(2*x - 1))","A",0
1468,1,58,0,1.101631," ","integrate((2+3*x)^7*(3+5*x)^3/(1-2*x),x, algorithm=""giac"")","-\frac{54675}{4} \, x^{10} - \frac{423225}{4} \, x^{9} - \frac{24381405}{64} \, x^{8} - \frac{95297877}{112} \, x^{7} - \frac{85228263}{64} \, x^{6} - \frac{504354357}{320} \, x^{5} - \frac{772025397}{512} \, x^{4} - \frac{969544757}{768} \, x^{3} - \frac{1065169973}{1024} \, x^{2} - \frac{1092596789}{1024} \, x - \frac{1096135733}{2048} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-54675/4*x^10 - 423225/4*x^9 - 24381405/64*x^8 - 95297877/112*x^7 - 85228263/64*x^6 - 504354357/320*x^5 - 772025397/512*x^4 - 969544757/768*x^3 - 1065169973/1024*x^2 - 1092596789/1024*x - 1096135733/2048*log(abs(2*x - 1))","A",0
1469,1,53,0,1.139250," ","integrate((2+3*x)^6*(3+5*x)^3/(1-2*x),x, algorithm=""giac"")","-\frac{10125}{2} \, x^{9} - \frac{1148175}{32} \, x^{8} - \frac{6596235}{56} \, x^{7} - \frac{7656993}{32} \, x^{6} - \frac{54600291}{160} \, x^{5} - \frac{95317731}{256} \, x^{4} - \frac{130251491}{384} \, x^{3} - \frac{149512931}{512} \, x^{2} - \frac{155706083}{512} \, x - \frac{156590819}{1024} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-10125/2*x^9 - 1148175/32*x^8 - 6596235/56*x^7 - 7656993/32*x^6 - 54600291/160*x^5 - 95317731/256*x^4 - 130251491/384*x^3 - 149512931/512*x^2 - 155706083/512*x - 156590819/1024*log(abs(2*x - 1))","A",0
1470,1,48,0,0.832039," ","integrate((2+3*x)^5*(3+5*x)^3/(1-2*x),x, algorithm=""giac"")","-\frac{30375}{16} \, x^{8} - \frac{342225}{28} \, x^{7} - \frac{580815}{16} \, x^{6} - \frac{5333733}{80} \, x^{5} - \frac{11088453}{128} \, x^{4} - \frac{16987973}{192} \, x^{3} - \frac{20766533}{256} \, x^{2} - \frac{22148933}{256} \, x - \frac{22370117}{512} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-30375/16*x^8 - 342225/28*x^7 - 580815/16*x^6 - 5333733/80*x^5 - 11088453/128*x^4 - 16987973/192*x^3 - 20766533/256*x^2 - 22148933/256*x - 22370117/512*log(abs(2*x - 1))","A",0
1471,1,43,0,0.842587," ","integrate((2+3*x)^4*(3+5*x)^3/(1-2*x),x, algorithm=""giac"")","-\frac{10125}{14} \, x^{7} - \frac{33525}{8} \, x^{6} - \frac{89343}{8} \, x^{5} - \frac{1182291}{64} \, x^{4} - \frac{2119763}{96} \, x^{3} - \frac{2836307}{128} \, x^{2} - \frac{3140435}{128} \, x - \frac{3195731}{256} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-10125/14*x^7 - 33525/8*x^6 - 89343/8*x^5 - 1182291/64*x^4 - 2119763/96*x^3 - 2836307/128*x^2 - 3140435/128*x - 3195731/256*log(abs(2*x - 1))","A",0
1472,1,38,0,0.952008," ","integrate((2+3*x)^3*(3+5*x)^3/(1-2*x),x, algorithm=""giac"")","-\frac{1125}{4} \, x^{6} - \frac{5805}{4} \, x^{5} - \frac{110205}{32} \, x^{4} - \frac{247157}{48} \, x^{3} - \frac{377045}{64} \, x^{2} - \frac{442709}{64} \, x - \frac{456533}{128} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1125/4*x^6 - 5805/4*x^5 - 110205/32*x^4 - 247157/48*x^3 - 377045/64*x^2 - 442709/64*x - 456533/128*log(abs(2*x - 1))","A",0
1473,1,33,0,0.906920," ","integrate((2+3*x)^2*(3+5*x)^3/(1-2*x),x, algorithm=""giac"")","-\frac{225}{2} \, x^{5} - \frac{8175}{16} \, x^{4} - \frac{25835}{24} \, x^{3} - \frac{47939}{32} \, x^{2} - \frac{61763}{32} \, x - \frac{65219}{64} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-225/2*x^5 - 8175/16*x^4 - 25835/24*x^3 - 47939/32*x^2 - 61763/32*x - 65219/64*log(abs(2*x - 1))","A",0
1474,1,28,0,0.903599," ","integrate((2+3*x)*(3+5*x)^3/(1-2*x),x, algorithm=""giac"")","-\frac{375}{8} \, x^{4} - \frac{2225}{12} \, x^{3} - \frac{5645}{16} \, x^{2} - \frac{8453}{16} \, x - \frac{9317}{32} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-375/8*x^4 - 2225/12*x^3 - 5645/16*x^2 - 8453/16*x - 9317/32*log(abs(2*x - 1))","A",0
1475,1,23,0,0.867737," ","integrate((3+5*x)^3/(1-2*x),x, algorithm=""giac"")","-\frac{125}{6} \, x^{3} - \frac{575}{8} \, x^{2} - \frac{1115}{8} \, x - \frac{1331}{16} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-125/6*x^3 - 575/8*x^2 - 1115/8*x - 1331/16*log(abs(2*x - 1))","A",0
1476,1,27,0,0.927195," ","integrate((3+5*x)^3/(1-2*x)/(2+3*x),x, algorithm=""giac"")","-\frac{125}{12} \, x^{2} - \frac{1225}{36} \, x - \frac{1}{189} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{1331}{56} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-125/12*x^2 - 1225/36*x - 1/189*log(abs(3*x + 2)) - 1331/56*log(abs(2*x - 1))","A",0
1477,1,47,0,1.044222," ","integrate((3+5*x)^3/(1-2*x)/(2+3*x)^2,x, algorithm=""giac"")","-\frac{125}{18} \, x + \frac{1}{189 \, {\left(3 \, x + 2\right)}} + \frac{725}{108} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right) - \frac{1331}{196} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right) - \frac{125}{27}"," ",0,"-125/18*x + 1/189/(3*x + 2) + 725/108*log(1/3*abs(3*x + 2)/(3*x + 2)^2) - 1331/196*log(abs(-7/(3*x + 2) + 2)) - 125/27","A",0
1478,1,33,0,1.043474," ","integrate((3+5*x)^3/(1-2*x)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{206 \, x + 135}{882 \, {\left(3 \, x + 2\right)}^{2}} - \frac{3469}{9261} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{1331}{686} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/882*(206*x + 135)/(3*x + 2)^2 - 3469/9261*log(abs(3*x + 2)) - 1331/686*log(abs(2*x - 1))","A",0
1479,1,38,0,0.909801," ","integrate((3+5*x)^3/(1-2*x)/(2+3*x)^4,x, algorithm=""giac"")","\frac{187326 \, x^{2} + 243279 \, x + 79028}{55566 \, {\left(3 \, x + 2\right)}^{3}} + \frac{1331}{2401} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{1331}{2401} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/55566*(187326*x^2 + 243279*x + 79028)/(3*x + 2)^3 + 1331/2401*log(abs(3*x + 2)) - 1331/2401*log(abs(2*x - 1))","A",0
1480,1,52,0,1.015405," ","integrate((3+5*x)^3/(1-2*x)/(2+3*x)^5,x, algorithm=""giac"")","-\frac{1331}{2401 \, {\left(3 \, x + 2\right)}} + \frac{3469}{18522 \, {\left(3 \, x + 2\right)}^{2}} - \frac{103}{3969 \, {\left(3 \, x + 2\right)}^{3}} + \frac{1}{756 \, {\left(3 \, x + 2\right)}^{4}} - \frac{2662}{16807} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"-1331/2401/(3*x + 2) + 3469/18522/(3*x + 2)^2 - 103/3969/(3*x + 2)^3 + 1/756/(3*x + 2)^4 - 2662/16807*log(abs(-7/(3*x + 2) + 2))","A",0
1481,1,48,0,1.094942," ","integrate((3+5*x)^3/(1-2*x)/(2+3*x)^6,x, algorithm=""giac"")","-\frac{349307640 \, x^{4} + 1135249830 \, x^{3} + 1308416040 \, x^{2} + 646472325 \, x + 116805778}{27227340 \, {\left(3 \, x + 2\right)}^{5}} + \frac{5324}{117649} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{5324}{117649} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/27227340*(349307640*x^4 + 1135249830*x^3 + 1308416040*x^2 + 646472325*x + 116805778)/(3*x + 2)^5 + 5324/117649*log(abs(3*x + 2)) - 5324/117649*log(abs(2*x - 1))","A",0
1482,1,53,0,0.849407," ","integrate((3+5*x)^3/(1-2*x)/(2+3*x)^7,x, algorithm=""giac"")","-\frac{2095845840 \, x^{5} + 8208729540 \, x^{4} + 13525968060 \, x^{3} + 11211272235 \, x^{2} + 4581535248 \, x + 733614062}{190591380 \, {\left(3 \, x + 2\right)}^{6}} + \frac{10648}{823543} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{10648}{823543} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/190591380*(2095845840*x^5 + 8208729540*x^4 + 13525968060*x^3 + 11211272235*x^2 + 4581535248*x + 733614062)/(3*x + 2)^6 + 10648/823543*log(abs(3*x + 2)) - 10648/823543*log(abs(2*x - 1))","A",0
1483,1,58,0,0.949810," ","integrate((3+5*x)^3/(1-2*x)/(2+3*x)^8,x, algorithm=""giac"")","-\frac{12575075040 \, x^{6} + 57635760600 \, x^{5} + 113990726520 \, x^{4} + 127327486275 \, x^{3} + 83293304778 \, x^{2} + 29451465714 \, x + 4309941128}{1334139660 \, {\left(3 \, x + 2\right)}^{7}} + \frac{21296}{5764801} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{21296}{5764801} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/1334139660*(12575075040*x^6 + 57635760600*x^5 + 113990726520*x^4 + 127327486275*x^3 + 83293304778*x^2 + 29451465714*x + 4309941128)/(3*x + 2)^7 + 21296/5764801*log(abs(3*x + 2)) - 21296/5764801*log(abs(2*x - 1))","A",0
1484,1,165,0,0.975547," ","integrate((b*x+a)^3/(d*x+c)/(f*x+e),x, algorithm=""giac"")","\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)}{c d^{3} f - d^{4} e} + \frac{{\left(a^{3} f^{3} - 3 \, a^{2} b f^{2} e + 3 \, a b^{2} f e^{2} - b^{3} e^{3}\right)} \log\left({\left| f x + e \right|}\right)}{c f^{4} - d f^{3} e} + \frac{b^{3} d f x^{2} - 2 \, b^{3} c f x + 6 \, a b^{2} d f x - 2 \, b^{3} d x e}{2 \, d^{2} f^{2}}"," ",0,"(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))/(c*d^3*f - d^4*e) + (a^3*f^3 - 3*a^2*b*f^2*e + 3*a*b^2*f*e^2 - b^3*e^3)*log(abs(f*x + e))/(c*f^4 - d*f^3*e) + 1/2*(b^3*d*f*x^2 - 2*b^3*c*f*x + 6*a*b^2*d*f*x - 2*b^3*d*x*e)/(d^2*f^2)","A",0
1485,1,52,0,1.060136," ","integrate((2+3*x)^8/(1-2*x)/(3+5*x),x, algorithm=""giac"")","-\frac{6561}{70} \, x^{7} - \frac{114453}{200} \, x^{6} - \frac{8018271}{5000} \, x^{5} - \frac{111146499}{40000} \, x^{4} - \frac{345533877}{100000} \, x^{3} - \frac{7136193339}{2000000} \, x^{2} - \frac{40089855591}{10000000} \, x + \frac{1}{4296875} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{5764801}{2816} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-6561/70*x^7 - 114453/200*x^6 - 8018271/5000*x^5 - 111146499/40000*x^4 - 345533877/100000*x^3 - 7136193339/2000000*x^2 - 40089855591/10000000*x + 1/4296875*log(abs(5*x + 3)) - 5764801/2816*log(abs(2*x - 1))","A",0
1486,1,47,0,0.980006," ","integrate((2+3*x)^7/(1-2*x)/(3+5*x),x, algorithm=""giac"")","-\frac{729}{20} \, x^{6} - \frac{99873}{500} \, x^{5} - \frac{2006937}{4000} \, x^{4} - \frac{7889751}{10000} \, x^{3} - \frac{187738857}{200000} \, x^{2} - \frac{1127138733}{1000000} \, x + \frac{1}{859375} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{823543}{1408} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-729/20*x^6 - 99873/500*x^5 - 2006937/4000*x^4 - 7889751/10000*x^3 - 187738857/200000*x^2 - 1127138733/1000000*x + 1/859375*log(abs(5*x + 3)) - 823543/1408*log(abs(2*x - 1))","A",0
1487,1,42,0,1.021874," ","integrate((2+3*x)^6/(1-2*x)/(3+5*x),x, algorithm=""giac"")","-\frac{729}{50} \, x^{5} - \frac{28431}{400} \, x^{4} - \frac{159813}{1000} \, x^{3} - \frac{4693491}{20000} \, x^{2} - \frac{31289679}{100000} \, x + \frac{1}{171875} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{117649}{704} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-729/50*x^5 - 28431/400*x^4 - 159813/1000*x^3 - 4693491/20000*x^2 - 31289679/100000*x + 1/171875*log(abs(5*x + 3)) - 117649/704*log(abs(2*x - 1))","A",0
1488,1,37,0,0.993871," ","integrate((2+3*x)^5/(1-2*x)/(3+5*x),x, algorithm=""giac"")","-\frac{243}{40} \, x^{4} - \frac{2619}{100} \, x^{3} - \frac{107433}{2000} \, x^{2} - \frac{848277}{10000} \, x + \frac{1}{34375} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{16807}{352} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-243/40*x^4 - 2619/100*x^3 - 107433/2000*x^2 - 848277/10000*x + 1/34375*log(abs(5*x + 3)) - 16807/352*log(abs(2*x - 1))","A",0
1489,1,32,0,0.934265," ","integrate((2+3*x)^4/(1-2*x)/(3+5*x),x, algorithm=""giac"")","-\frac{27}{10} \, x^{3} - \frac{2079}{200} \, x^{2} - \frac{21951}{1000} \, x + \frac{1}{6875} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{2401}{176} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-27/10*x^3 - 2079/200*x^2 - 21951/1000*x + 1/6875*log(abs(5*x + 3)) - 2401/176*log(abs(2*x - 1))","A",0
1490,1,27,0,0.961241," ","integrate((2+3*x)^3/(1-2*x)/(3+5*x),x, algorithm=""giac"")","-\frac{27}{20} \, x^{2} - \frac{513}{100} \, x + \frac{1}{1375} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{343}{88} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-27/20*x^2 - 513/100*x + 1/1375*log(abs(5*x + 3)) - 343/88*log(abs(2*x - 1))","A",0
1491,1,22,0,0.875896," ","integrate((2+3*x)^2/(1-2*x)/(3+5*x),x, algorithm=""giac"")","-\frac{9}{10} \, x + \frac{1}{275} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{49}{44} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-9/10*x + 1/275*log(abs(5*x + 3)) - 49/44*log(abs(2*x - 1))","A",0
1492,1,19,0,0.981386," ","integrate((2+3*x)/(1-2*x)/(3+5*x),x, algorithm=""giac"")","\frac{1}{55} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{7}{22} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/55*log(abs(5*x + 3)) - 7/22*log(abs(2*x - 1))","A",0
1493,1,19,0,0.847041," ","integrate(1/(1-2*x)/(3+5*x),x, algorithm=""giac"")","\frac{1}{11} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{1}{11} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/11*log(abs(5*x + 3)) - 1/11*log(abs(2*x - 1))","A",0
1494,1,28,0,0.904985," ","integrate(1/(1-2*x)/(2+3*x)/(3+5*x),x, algorithm=""giac"")","\frac{5}{11} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{3}{7} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{2}{77} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"5/11*log(abs(5*x + 3)) - 3/7*log(abs(3*x + 2)) - 2/77*log(abs(2*x - 1))","A",0
1495,1,40,0,0.882723," ","integrate(1/(1-2*x)/(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{3}{7 \, {\left(3 \, x + 2\right)}} + \frac{25}{11} \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right) - \frac{4}{539} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"3/7/(3*x + 2) + 25/11*log(abs(-1/(3*x + 2) + 5)) - 4/539*log(abs(-7/(3*x + 2) + 2))","A",0
1496,1,42,0,0.957965," ","integrate(1/(1-2*x)/(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","\frac{3 \, {\left(222 \, x + 155\right)}}{98 \, {\left(3 \, x + 2\right)}^{2}} + \frac{125}{11} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{3897}{343} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{8}{3773} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"3/98*(222*x + 155)/(3*x + 2)^2 + 125/11*log(abs(5*x + 3)) - 3897/343*log(abs(3*x + 2)) - 8/3773*log(abs(2*x - 1))","A",0
1497,1,47,0,0.849571," ","integrate(1/(1-2*x)/(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","\frac{70146 \, x^{2} + 95859 \, x + 32828}{686 \, {\left(3 \, x + 2\right)}^{3}} + \frac{625}{11} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{136419}{2401} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{16}{26411} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/686*(70146*x^2 + 95859*x + 32828)/(3*x + 2)^3 + 625/11*log(abs(5*x + 3)) - 136419/2401*log(abs(3*x + 2)) - 16/26411*log(abs(2*x - 1))","A",0
1498,1,67,0,1.154298," ","integrate(1/(1-2*x)/(2+3*x)^5/(3+5*x),x, algorithm=""giac"")","\frac{136419}{2401 \, {\left(3 \, x + 2\right)}} + \frac{3897}{686 \, {\left(3 \, x + 2\right)}^{2}} + \frac{37}{49 \, {\left(3 \, x + 2\right)}^{3}} + \frac{3}{28 \, {\left(3 \, x + 2\right)}^{4}} + \frac{3125}{11} \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right) - \frac{32}{184877} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"136419/2401/(3*x + 2) + 3897/686/(3*x + 2)^2 + 37/49/(3*x + 2)^3 + 3/28/(3*x + 2)^4 + 3125/11*log(abs(-1/(3*x + 2) + 5)) - 32/184877*log(abs(-7/(3*x + 2) + 2))","A",0
1499,1,57,0,0.907666," ","integrate(1/(1-2*x)/(2+3*x)^6/(3+5*x),x, algorithm=""giac"")","\frac{27 \, {\left(286482780 \, x^{4} + 773503410 \, x^{3} + 783477080 \, x^{2} + 352854525 \, x + 59622386\right)}}{336140 \, {\left(3 \, x + 2\right)}^{5}} + \frac{15625}{11} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{167115051}{117649} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{64}{1294139} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"27/336140*(286482780*x^4 + 773503410*x^3 + 783477080*x^2 + 352854525*x + 59622386)/(3*x + 2)^5 + 15625/11*log(abs(5*x + 3)) - 167115051/117649*log(abs(3*x + 2)) - 64/1294139*log(abs(2*x - 1))","A",0
1500,1,62,0,0.858447," ","integrate(1/(1-2*x)/(2+3*x)^7/(3+5*x),x, algorithm=""giac"")","\frac{3 \, {\left(270726382620 \, x^{5} + 911445482970 \, x^{4} + 1227693992580 \, x^{3} + 827038992105 \, x^{2} + 278642000664 \, x + 37562284366\right)}}{2352980 \, {\left(3 \, x + 2\right)}^{6}} + \frac{78125}{11} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{5849026977}{823543} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{128}{9058973} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"3/2352980*(270726382620*x^5 + 911445482970*x^4 + 1227693992580*x^3 + 827038992105*x^2 + 278642000664*x + 37562284366)/(3*x + 2)^6 + 78125/11*log(abs(5*x + 3)) - 5849026977/823543*log(abs(3*x + 2)) - 128/9058973*log(abs(2*x - 1))","A",0
1501,1,99,0,0.902565," ","integrate((2+3*x)^8/(1-2*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{27}{125000000} \, {\left(5 \, x + 3\right)}^{6} {\left(\frac{63504}{5 \, x + 3} + \frac{466830}{{\left(5 \, x + 3\right)}^{2}} + \frac{3450300}{{\left(5 \, x + 3\right)}^{3}} + \frac{28481775}{{\left(5 \, x + 3\right)}^{4}} + \frac{313308485}{{\left(5 \, x + 3\right)}^{5}} + 6480\right)} - \frac{1}{4296875 \, {\left(5 \, x + 3\right)}} + \frac{18610540137}{50000000} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{5764801}{15488} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-27/125000000*(5*x + 3)^6*(63504/(5*x + 3) + 466830/(5*x + 3)^2 + 3450300/(5*x + 3)^3 + 28481775/(5*x + 3)^4 + 313308485/(5*x + 3)^5 + 6480) - 1/4296875/(5*x + 3) + 18610540137/50000000*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 5764801/15488*log(abs(-11/(5*x + 3) + 2))","A",0
1502,1,90,0,1.012932," ","integrate((2+3*x)^7/(1-2*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{27}{12500000} \, {\left(5 \, x + 3\right)}^{5} {\left(\frac{12690}{5 \, x + 3} + \frac{98100}{{\left(5 \, x + 3\right)}^{2}} + \frac{813525}{{\left(5 \, x + 3\right)}^{3}} + \frac{8951575}{{\left(5 \, x + 3\right)}^{4}} + 1296\right)} - \frac{1}{859375 \, {\left(5 \, x + 3\right)}} + \frac{531729603}{5000000} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{823543}{7744} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-27/12500000*(5*x + 3)^5*(12690/(5*x + 3) + 98100/(5*x + 3)^2 + 813525/(5*x + 3)^3 + 8951575/(5*x + 3)^4 + 1296) - 1/859375/(5*x + 3) + 531729603/5000000*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 823543/7744*log(abs(-11/(5*x + 3) + 2))","A",0
1503,1,81,0,1.005983," ","integrate((2+3*x)^6/(1-2*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{27}{250000} \, {\left(5 \, x + 3\right)}^{4} {\left(\frac{540}{5 \, x + 3} + \frac{4635}{{\left(5 \, x + 3\right)}^{2}} + \frac{51145}{{\left(5 \, x + 3\right)}^{3}} + 54\right)} - \frac{1}{171875 \, {\left(5 \, x + 3\right)}} + \frac{607689}{20000} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{117649}{3872} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-27/250000*(5*x + 3)^4*(540/(5*x + 3) + 4635/(5*x + 3)^2 + 51145/(5*x + 3)^3 + 54) - 1/171875/(5*x + 3) + 607689/20000*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 117649/3872*log(abs(-11/(5*x + 3) + 2))","A",0
1504,1,72,0,0.949046," ","integrate((2+3*x)^5/(1-2*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{27}{25000} \, {\left(5 \, x + 3\right)}^{3} {\left(\frac{129}{5 \, x + 3} + \frac{1459}{{\left(5 \, x + 3\right)}^{2}} + 12\right)} - \frac{1}{34375 \, {\left(5 \, x + 3\right)}} + \frac{434043}{50000} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{16807}{1936} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-27/25000*(5*x + 3)^3*(129/(5*x + 3) + 1459/(5*x + 3)^2 + 12) - 1/34375/(5*x + 3) + 434043/50000*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 16807/1936*log(abs(-11/(5*x + 3) + 2))","A",0
1505,1,63,0,0.931781," ","integrate((2+3*x)^4/(1-2*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{27}{2500} \, {\left(5 \, x + 3\right)}^{2} {\left(\frac{41}{5 \, x + 3} + 3\right)} - \frac{1}{6875 \, {\left(5 \, x + 3\right)}} + \frac{12393}{5000} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{2401}{968} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-27/2500*(5*x + 3)^2*(41/(5*x + 3) + 3) - 1/6875/(5*x + 3) + 12393/5000*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 2401/968*log(abs(-11/(5*x + 3) + 2))","A",0
1506,1,47,0,0.962534," ","integrate((2+3*x)^3/(1-2*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{27}{50} \, x - \frac{1}{1375 \, {\left(5 \, x + 3\right)}} + \frac{351}{500} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{343}{484} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right) - \frac{81}{250}"," ",0,"-27/50*x - 1/1375/(5*x + 3) + 351/500*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 343/484*log(abs(-11/(5*x + 3) + 2)) - 81/250","A",0
1507,1,43,0,1.005662," ","integrate((2+3*x)^2/(1-2*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{275 \, {\left(5 \, x + 3\right)}} + \frac{9}{50} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{49}{242} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/275/(5*x + 3) + 9/50*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 49/242*log(abs(-11/(5*x + 3) + 2))","A",0
1508,1,25,0,0.892562," ","integrate((2+3*x)/(1-2*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{55 \, {\left(5 \, x + 3\right)}} - \frac{7}{121} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/55/(5*x + 3) - 7/121*log(abs(-11/(5*x + 3) + 2))","A",0
1509,1,25,0,0.903240," ","integrate(1/(1-2*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{11 \, {\left(5 \, x + 3\right)}} - \frac{2}{121} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/11/(5*x + 3) - 2/121*log(abs(-11/(5*x + 3) + 2))","A",0
1510,1,40,0,0.942493," ","integrate(1/(1-2*x)/(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{5}{11 \, {\left(5 \, x + 3\right)}} + \frac{9}{7} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{4}{847} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-5/11/(5*x + 3) + 9/7*log(abs(-1/(5*x + 3) - 3)) - 4/847*log(abs(-11/(5*x + 3) + 2))","A",0
1511,1,53,0,0.917531," ","integrate(1/(1-2*x)/(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{25}{11 \, {\left(5 \, x + 3\right)}} + \frac{135}{7 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}} + \frac{648}{49} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{8}{5929} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-25/11/(5*x + 3) + 135/7/(1/(5*x + 3) + 3) + 648/49*log(abs(-1/(5*x + 3) - 3)) - 8/5929*log(abs(-11/(5*x + 3) + 2))","A",0
1512,1,64,0,0.971743," ","integrate(1/(1-2*x)/(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{125}{11 \, {\left(5 \, x + 3\right)}} + \frac{135 \, {\left(\frac{214}{5 \, x + 3} + 537\right)}}{98 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{2}} + \frac{34371}{343} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{16}{41503} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-125/11/(5*x + 3) + 135/98*(214/(5*x + 3) + 537)/(1/(5*x + 3) + 3)^2 + 34371/343*log(abs(-1/(5*x + 3) - 3)) - 16/41503*log(abs(-11/(5*x + 3) + 2))","A",0
1513,1,73,0,0.975295," ","integrate(1/(1-2*x)/(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","-\frac{625}{11 \, {\left(5 \, x + 3\right)}} + \frac{135 \, {\left(\frac{37929}{5 \, x + 3} + \frac{7564}{{\left(5 \, x + 3\right)}^{2}} + 49386\right)}}{343 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{3}} + \frac{1612242}{2401} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{32}{290521} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-625/11/(5*x + 3) + 135/343*(37929/(5*x + 3) + 7564/(5*x + 3)^2 + 49386)/(1/(5*x + 3) + 3)^3 + 1612242/2401*log(abs(-1/(5*x + 3) - 3)) - 32/290521*log(abs(-11/(5*x + 3) + 2))","A",0
1514,1,82,0,0.933557," ","integrate(1/(1-2*x)/(2+3*x)^5/(3+5*x)^2,x, algorithm=""giac"")","-\frac{3125}{11 \, {\left(5 \, x + 3\right)}} + \frac{135 \, {\left(\frac{34747884}{5 \, x + 3} + \frac{13347468}{{\left(5 \, x + 3\right)}^{2}} + \frac{1775512}{{\left(5 \, x + 3\right)}^{3}} + 30897639\right)}}{9604 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{4}} + \frac{70752609}{16807} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{64}{2033647} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-3125/11/(5*x + 3) + 135/9604*(34747884/(5*x + 3) + 13347468/(5*x + 3)^2 + 1775512/(5*x + 3)^3 + 30897639)/(1/(5*x + 3) + 3)^4 + 70752609/16807*log(abs(-1/(5*x + 3) - 3)) - 64/2033647*log(abs(-11/(5*x + 3) + 2))","A",0
1515,1,91,0,0.866354," ","integrate(1/(1-2*x)/(2+3*x)^6/(3+5*x)^2,x, algorithm=""giac"")","-\frac{15625}{11 \, {\left(5 \, x + 3\right)}} + \frac{135 \, {\left(\frac{1627470333}{5 \, x + 3} + \frac{915260769}{{\left(5 \, x + 3\right)}^{2}} + \frac{234430752}{{\left(5 \, x + 3\right)}^{3}} + \frac{23397131}{{\left(5 \, x + 3\right)}^{4}} + 1103836896\right)}}{16807 \, {\left(\frac{1}{5 \, x + 3} + 3\right)}^{5}} + \frac{2977686468}{117649} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{128}{14235529} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-15625/11/(5*x + 3) + 135/16807*(1627470333/(5*x + 3) + 915260769/(5*x + 3)^2 + 234430752/(5*x + 3)^3 + 23397131/(5*x + 3)^4 + 1103836896)/(1/(5*x + 3) + 3)^5 + 2977686468/117649*log(abs(-1/(5*x + 3) - 3)) - 128/14235529*log(abs(-11/(5*x + 3) + 2))","A",0
1516,1,56,0,0.891602," ","integrate((2+3*x)^8/(1-2*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{6561}{1250} \, x^{5} - \frac{264627}{10000} \, x^{4} - \frac{1535517}{25000} \, x^{3} - \frac{9268263}{100000} \, x^{2} - \frac{62934003}{500000} \, x - \frac{2660 \, x + 1607}{94531250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{31024}{519921875} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{5764801}{85184} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-6561/1250*x^5 - 264627/10000*x^4 - 1535517/25000*x^3 - 9268263/100000*x^2 - 62934003/500000*x - 1/94531250*(2660*x + 1607)/(5*x + 3)^2 + 31024/519921875*log(abs(5*x + 3)) - 5764801/85184*log(abs(2*x - 1))","A",0
1517,1,51,0,0.890211," ","integrate((2+3*x)^7/(1-2*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{2187}{1000} \, x^{4} - \frac{24543}{2500} \, x^{3} - \frac{1044657}{50000} \, x^{2} - \frac{339309}{10000} \, x - \frac{2330 \, x + 1409}{18906250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{4667}{20796875} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{823543}{42592} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-2187/1000*x^4 - 24543/2500*x^3 - 1044657/50000*x^2 - 339309/10000*x - 1/18906250*(2330*x + 1409)/(5*x + 3)^2 + 4667/20796875*log(abs(5*x + 3)) - 823543/42592*log(abs(2*x - 1))","A",0
1518,1,46,0,0.954594," ","integrate((2+3*x)^6/(1-2*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{243}{250} \, x^{3} - \frac{19683}{5000} \, x^{2} - \frac{216999}{25000} \, x - \frac{2000 \, x + 1211}{3781250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{3347}{4159375} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{117649}{21296} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-243/250*x^3 - 19683/5000*x^2 - 216999/25000*x - 1/3781250*(2000*x + 1211)/(5*x + 3)^2 + 3347/4159375*log(abs(5*x + 3)) - 117649/21296*log(abs(2*x - 1))","A",0
1519,1,41,0,0.991956," ","integrate((2+3*x)^5/(1-2*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{243}{500} \, x^{2} - \frac{4941}{2500} \, x - \frac{1670 \, x + 1013}{756250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{11224}{4159375} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{16807}{10648} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-243/500*x^2 - 4941/2500*x - 1/756250*(1670*x + 1013)/(5*x + 3)^2 + 11224/4159375*log(abs(5*x + 3)) - 16807/10648*log(abs(2*x - 1))","A",0
1520,1,36,0,0.963492," ","integrate((2+3*x)^4/(1-2*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{81}{250} \, x - \frac{268 \, x + 163}{30250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{6802}{831875} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{2401}{5324} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-81/250*x - 1/30250*(268*x + 163)/(5*x + 3)^2 + 6802/831875*log(abs(5*x + 3)) - 2401/5324*log(abs(2*x - 1))","A",0
1521,1,33,0,1.010844," ","integrate((2+3*x)^3/(1-2*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{1010 \, x + 617}{30250 \, {\left(5 \, x + 3\right)}^{2}} + \frac{3469}{166375} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{343}{2662} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/30250*(1010*x + 617)/(5*x + 3)^2 + 3469/166375*log(abs(5*x + 3)) - 343/2662*log(abs(2*x - 1))","A",0
1522,1,33,0,0.813203," ","integrate((2+3*x)^2/(1-2*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{680 \, x + 419}{6050 \, {\left(5 \, x + 3\right)}^{2}} + \frac{49}{1331} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{49}{1331} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/6050*(680*x + 419)/(5*x + 3)^2 + 49/1331*log(abs(5*x + 3)) - 49/1331*log(abs(2*x - 1))","A",0
1523,1,33,0,1.053585," ","integrate((2+3*x)/(1-2*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{350 \, x + 221}{1210 \, {\left(5 \, x + 3\right)}^{2}} + \frac{14}{1331} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{14}{1331} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/1210*(350*x + 221)/(5*x + 3)^2 + 14/1331*log(abs(5*x + 3)) - 14/1331*log(abs(2*x - 1))","A",0
1524,1,33,0,0.873608," ","integrate(1/(1-2*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{20 \, x + 23}{242 \, {\left(5 \, x + 3\right)}^{2}} + \frac{4}{1331} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{4}{1331} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/242*(20*x + 23)/(5*x + 3)^2 + 4/1331*log(abs(5*x + 3)) - 4/1331*log(abs(2*x - 1))","A",0
1525,1,42,0,0.860071," ","integrate(1/(1-2*x)/(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{25 \, {\left(62 \, x + 35\right)}}{242 \, {\left(5 \, x + 3\right)}^{2}} + \frac{5135}{1331} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{27}{7} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{8}{9317} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"25/242*(62*x + 35)/(5*x + 3)^2 + 5135/1331*log(abs(5*x + 3)) - 27/7*log(abs(3*x + 2)) - 8/9317*log(abs(2*x - 1))","A",0
1526,1,64,0,1.018758," ","integrate(1/(1-2*x)/(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{27}{7 \, {\left(3 \, x + 2\right)}} - \frac{375 \, {\left(\frac{194}{3 \, x + 2} - 805\right)}}{242 \, {\left(\frac{1}{3 \, x + 2} - 5\right)}^{2}} + \frac{78475}{1331} \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right) - \frac{16}{65219} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"27/7/(3*x + 2) - 375/242*(194/(3*x + 2) - 805)/(1/(3*x + 2) - 5)^2 + 78475/1331*log(abs(-1/(3*x + 2) + 5)) - 16/65219*log(abs(-7/(3*x + 2) + 2))","A",0
1527,1,59,0,0.953817," ","integrate(1/(1-2*x)/(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{105906600 \, x^{3} + 201222420 \, x^{2} + 127244576 \, x + 26779805}{11858 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{2}} + \frac{792500}{1331} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{204228}{343} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{32}{456533} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/11858*(105906600*x^3 + 201222420*x^2 + 127244576*x + 26779805)/((5*x + 3)^2*(3*x + 2)^2) + 792500/1331*log(abs(5*x + 3)) - 204228/343*log(abs(3*x + 2)) - 32/456533*log(abs(2*x - 1))","A",0
1528,1,64,0,1.125972," ","integrate(1/(1-2*x)/(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","\frac{18644777100 \, x^{4} + 47854927170 \, x^{3} + 46018070136 \, x^{2} + 19648830809 \, x + 3143075528}{83006 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{3}} + \frac{6643750}{1331} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{11984706}{2401} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{64}{3195731} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/83006*(18644777100*x^4 + 47854927170*x^3 + 46018070136*x^2 + 19648830809*x + 3143075528)/((5*x + 3)^2*(3*x + 2)^3) + 6643750/1331*log(abs(5*x + 3)) - 11984706/2401*log(abs(3*x + 2)) - 64/3195731*log(abs(2*x - 1))","A",0
1529,1,91,0,0.950703," ","integrate(1/(1-2*x)/(2+3*x)^5/(3+5*x)^3,x, algorithm=""giac"")","\frac{11984706}{2401 \, {\left(3 \, x + 2\right)}} - \frac{46875 \, {\left(\frac{392}{3 \, x + 2} - 1795\right)}}{242 \, {\left(\frac{1}{3 \, x + 2} - 5\right)}^{2}} + \frac{102114}{343 \, {\left(3 \, x + 2\right)}^{2}} + \frac{963}{49 \, {\left(3 \, x + 2\right)}^{3}} + \frac{27}{28 \, {\left(3 \, x + 2\right)}^{4}} + \frac{50028125}{1331} \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right) - \frac{128}{22370117} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"11984706/2401/(3*x + 2) - 46875/242*(392/(3*x + 2) - 1795)/(1/(3*x + 2) - 5)^2 + 102114/343/(3*x + 2)^2 + 963/49/(3*x + 2)^3 + 27/28/(3*x + 2)^4 + 50028125/1331*log(abs(-1/(3*x + 2) + 5)) - 128/22370117*log(abs(-7/(3*x + 2) + 2))","A",0
1530,1,183,0,0.886683," ","integrate((d*x+c)^4/(-b*x+a)/(b*x+a),x, algorithm=""giac"")","\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| b x + a \right|}\right)}{2 \, a b^{5}} - \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| b x - a \right|}\right)}{2 \, a b^{5}} - \frac{b^{4} d^{4} x^{3} + 6 \, b^{4} c d^{3} x^{2} + 18 \, b^{4} c^{2} d^{2} x + 3 \, a^{2} b^{2} d^{4} x}{3 \, b^{6}}"," ",0,"1/2*(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)*log(abs(b*x + a))/(a*b^5) - 1/2*(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)*log(abs(b*x - a))/(a*b^5) - 1/3*(b^4*d^4*x^3 + 6*b^4*c*d^3*x^2 + 18*b^4*c^2*d^2*x + 3*a^2*b^2*d^4*x)/b^6","A",0
1531,1,130,0,0.882357," ","integrate((d*x+c)^3/(-b*x+a)/(b*x+a),x, algorithm=""giac"")","-\frac{b^{2} d^{3} x^{2} + 6 \, b^{2} c d^{2} x}{2 \, b^{4}} + \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)}{2 \, a b^{4}} - \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)}{2 \, a b^{4}}"," ",0,"-1/2*(b^2*d^3*x^2 + 6*b^2*c*d^2*x)/b^4 + 1/2*(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))/(a*b^4) - 1/2*(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))/(a*b^4)","A",0
1532,1,84,0,0.965580," ","integrate((d*x+c)^2/(-b*x+a)/(b*x+a),x, algorithm=""giac"")","-\frac{d^{2} x}{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)}{2 \, a b^{3}} - \frac{{\left(b^{2} c^{2} + 2 \, a b c d + a^{2} d^{2}\right)} \log\left({\left| b x - a \right|}\right)}{2 \, a b^{3}}"," ",0,"-d^2*x/b^2 + 1/2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(abs(b*x + a))/(a*b^3) - 1/2*(b^2*c^2 + 2*a*b*c*d + a^2*d^2)*log(abs(b*x - a))/(a*b^3)","A",0
1533,1,48,0,0.933068," ","integrate((d*x+c)/(-b*x+a)/(b*x+a),x, algorithm=""giac"")","\frac{{\left(b c - a d\right)} \log\left({\left| b x + a \right|}\right)}{2 \, a b^{2}} - \frac{{\left(b c + a d\right)} \log\left({\left| b x - a \right|}\right)}{2 \, a b^{2}}"," ",0,"1/2*(b*c - a*d)*log(abs(b*x + a))/(a*b^2) - 1/2*(b*c + a*d)*log(abs(b*x - a))/(a*b^2)","A",0
1534,1,33,0,0.958196," ","integrate(1/(-b*x+a)/(b*x+a),x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{2 \, a b} - \frac{\log\left({\left| b x - a \right|}\right)}{2 \, a b}"," ",0,"1/2*log(abs(b*x + a))/(a*b) - 1/2*log(abs(b*x - a))/(a*b)","B",0
1535,1,93,0,0.909452," ","integrate(1/(-b*x+a)/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\frac{b^{2} \log\left({\left| b x + a \right|}\right)}{2 \, {\left(a b^{3} c - a^{2} b^{2} d\right)}} - \frac{b^{2} \log\left({\left| b x - a \right|}\right)}{2 \, {\left(a b^{3} c + a^{2} b^{2} d\right)}} - \frac{d^{2} \log\left({\left| d x + c \right|}\right)}{b^{2} c^{2} d - a^{2} d^{3}}"," ",0,"1/2*b^2*log(abs(b*x + a))/(a*b^3*c - a^2*b^2*d) - 1/2*b^2*log(abs(b*x - a))/(a*b^3*c + a^2*b^2*d) - d^2*log(abs(d*x + c))/(b^2*c^2*d - a^2*d^3)","A",0
1536,1,285,0,1.087227," ","integrate(1/(-b*x+a)/(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\frac{b^{2} c d \log\left({\left| b^{2} - \frac{2 \, b^{2} c}{d x + c} + \frac{b^{2} c^{2}}{{\left(d x + c\right)}^{2}} - \frac{a^{2} d^{2}}{{\left(d x + c\right)}^{2}} \right|}\right)}{b^{4} c^{4} - 2 \, a^{2} b^{2} c^{2} d^{2} + a^{4} d^{4}} + \frac{d^{3}}{{\left(b^{2} c^{2} d^{2} - a^{2} d^{4}\right)} {\left(d x + c\right)}} - \frac{{\left(b^{4} c^{2} d^{2} + a^{2} b^{2} d^{4}\right)} \log\left(\frac{{\left| 2 \, b^{2} c d - \frac{2 \, b^{2} c^{2} d}{d x + c} + \frac{2 \, a^{2} d^{3}}{d x + c} - 2 \, d^{2} {\left| a \right|} {\left| b \right|} \right|}}{{\left| 2 \, b^{2} c d - \frac{2 \, b^{2} c^{2} d}{d x + c} + \frac{2 \, a^{2} d^{3}}{d x + c} + 2 \, d^{2} {\left| a \right|} {\left| b \right|} \right|}}\right)}{2 \, {\left(b^{4} c^{4} - 2 \, a^{2} b^{2} c^{2} d^{2} + a^{4} d^{4}\right)} d^{2} {\left| a \right|} {\left| b \right|}}"," ",0,"b^2*c*d*log(abs(b^2 - 2*b^2*c/(d*x + c) + b^2*c^2/(d*x + c)^2 - a^2*d^2/(d*x + c)^2))/(b^4*c^4 - 2*a^2*b^2*c^2*d^2 + a^4*d^4) + d^3/((b^2*c^2*d^2 - a^2*d^4)*(d*x + c)) - 1/2*(b^4*c^2*d^2 + a^2*b^2*d^4)*log(abs(2*b^2*c*d - 2*b^2*c^2*d/(d*x + c) + 2*a^2*d^3/(d*x + c) - 2*d^2*abs(a)*abs(b))/abs(2*b^2*c*d - 2*b^2*c^2*d/(d*x + c) + 2*a^2*d^3/(d*x + c) + 2*d^2*abs(a)*abs(b)))/((b^4*c^4 - 2*a^2*b^2*c^2*d^2 + a^4*d^4)*d^2*abs(a)*abs(b))","B",0
1537,1,277,0,1.044502," ","integrate(1/(-b*x+a)/(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","\frac{b^{3} \log\left({\left| b x + a \right|}\right)}{2 \, {\left(a b^{4} c^{3} - 3 \, a^{2} b^{3} c^{2} d + 3 \, a^{3} b^{2} c d^{2} - a^{4} b d^{3}\right)}} - \frac{b^{3} \log\left({\left| b x - a \right|}\right)}{2 \, {\left(a b^{4} c^{3} + 3 \, a^{2} b^{3} c^{2} d + 3 \, a^{3} b^{2} c d^{2} + a^{4} b d^{3}\right)}} - \frac{{\left(3 \, b^{4} c^{2} d^{2} + a^{2} b^{2} d^{4}\right)} \log\left({\left| d x + c \right|}\right)}{b^{6} c^{6} d - 3 \, a^{2} b^{4} c^{4} d^{3} + 3 \, a^{4} b^{2} c^{2} d^{5} - a^{6} d^{7}} + \frac{5 \, b^{4} c^{4} d - 6 \, a^{2} b^{2} c^{2} d^{3} + a^{4} d^{5} + 4 \, {\left(b^{4} c^{3} d^{2} - a^{2} b^{2} c d^{4}\right)} x}{2 \, {\left(b c + a d\right)}^{3} {\left(b c - a d\right)}^{3} {\left(d x + c\right)}^{2}}"," ",0,"1/2*b^3*log(abs(b*x + a))/(a*b^4*c^3 - 3*a^2*b^3*c^2*d + 3*a^3*b^2*c*d^2 - a^4*b*d^3) - 1/2*b^3*log(abs(b*x - a))/(a*b^4*c^3 + 3*a^2*b^3*c^2*d + 3*a^3*b^2*c*d^2 + a^4*b*d^3) - (3*b^4*c^2*d^2 + a^2*b^2*d^4)*log(abs(d*x + c))/(b^6*c^6*d - 3*a^2*b^4*c^4*d^3 + 3*a^4*b^2*c^2*d^5 - a^6*d^7) + 1/2*(5*b^4*c^4*d - 6*a^2*b^2*c^2*d^3 + a^4*d^5 + 4*(b^4*c^3*d^2 - a^2*b^2*c*d^4)*x)/((b*c + a*d)^3*(b*c - a*d)^3*(d*x + c)^2)","A",0
1538,1,102,0,0.999539," ","integrate((2+3*x)^8*(3+5*x)/(1-2*x)^2,x, algorithm=""giac"")","\frac{3}{286720} \, {\left(2 \, x - 1\right)}^{8} {\left(\frac{9127080}{2 \, x - 1} + \frac{98748720}{{\left(2 \, x - 1\right)}^{2}} + \frac{641009376}{{\left(2 \, x - 1\right)}^{3}} + \frac{2786264460}{{\left(2 \, x - 1\right)}^{4}} + \frac{8611906800}{{\left(2 \, x - 1\right)}^{5}} + \frac{19962682320}{{\left(2 \, x - 1\right)}^{6}} + \frac{39661830880}{{\left(2 \, x - 1\right)}^{7}} + 382725\right)} - \frac{63412811}{1024 \, {\left(2 \, x - 1\right)}} - \frac{246239357}{1024} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"3/286720*(2*x - 1)^8*(9127080/(2*x - 1) + 98748720/(2*x - 1)^2 + 641009376/(2*x - 1)^3 + 2786264460/(2*x - 1)^4 + 8611906800/(2*x - 1)^5 + 19962682320/(2*x - 1)^6 + 39661830880/(2*x - 1)^7 + 382725) - 63412811/1024/(2*x - 1) - 246239357/1024*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1539,1,93,0,0.936772," ","integrate((2+3*x)^7*(3+5*x)/(1-2*x)^2,x, algorithm=""giac"")","\frac{3}{35840} \, {\left(2 \, x - 1\right)}^{7} {\left(\frac{788130}{2 \, x - 1} + \frac{7668108}{{\left(2 \, x - 1\right)}^{2}} + \frac{44406495}{{\left(2 \, x - 1\right)}^{3}} + \frac{171431400}{{\left(2 \, x - 1\right)}^{4}} + \frac{476478450}{{\left(2 \, x - 1\right)}^{5}} + \frac{1103547620}{{\left(2 \, x - 1\right)}^{6}} + 36450\right)} - \frac{9058973}{512 \, {\left(2 \, x - 1\right)}} - \frac{15647317}{256} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"3/35840*(2*x - 1)^7*(788130/(2*x - 1) + 7668108/(2*x - 1)^2 + 44406495/(2*x - 1)^3 + 171431400/(2*x - 1)^4 + 476478450/(2*x - 1)^5 + 1103547620/(2*x - 1)^6 + 36450) - 9058973/512/(2*x - 1) - 15647317/256*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1540,1,84,0,0.797800," ","integrate((2+3*x)^6*(3+5*x)/(1-2*x)^2,x, algorithm=""giac"")","\frac{9}{5120} \, {\left(2 \, x - 1\right)}^{6} {\left(\frac{26244}{2 \, x - 1} + \frac{227745}{{\left(2 \, x - 1\right)}^{2}} + \frac{1171100}{{\left(2 \, x - 1\right)}^{3}} + \frac{4064550}{{\left(2 \, x - 1\right)}^{4}} + \frac{11284700}{{\left(2 \, x - 1\right)}^{5}} + 1350\right)} - \frac{1294139}{256 \, {\left(2 \, x - 1\right)}} - \frac{3916031}{256} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"9/5120*(2*x - 1)^6*(26244/(2*x - 1) + 227745/(2*x - 1)^2 + 1171100/(2*x - 1)^3 + 4064550/(2*x - 1)^4 + 11284700/(2*x - 1)^5 + 1350) - 1294139/256/(2*x - 1) - 3916031/256*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1541,1,75,0,1.205400," ","integrate((2+3*x)^5*(3+5*x)/(1-2*x)^2,x, algorithm=""giac"")","\frac{3}{128} \, {\left(2 \, x - 1\right)}^{5} {\left(\frac{1404}{2 \, x - 1} + \frac{10815}{{\left(2 \, x - 1\right)}^{2}} + \frac{49980}{{\left(2 \, x - 1\right)}^{3}} + \frac{173215}{{\left(2 \, x - 1\right)}^{4}} + 81\right)} - \frac{184877}{128 \, {\left(2 \, x - 1\right)}} - \frac{60025}{16} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"3/128*(2*x - 1)^5*(1404/(2*x - 1) + 10815/(2*x - 1)^2 + 49980/(2*x - 1)^3 + 173215/(2*x - 1)^4 + 81) - 184877/128/(2*x - 1) - 60025/16*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1542,1,66,0,0.940067," ","integrate((2+3*x)^4*(3+5*x)/(1-2*x)^2,x, algorithm=""giac"")","\frac{3}{256} \, {\left(2 \, x - 1\right)}^{4} {\left(\frac{2076}{2 \, x - 1} + \frac{14364}{{\left(2 \, x - 1\right)}^{2}} + \frac{66248}{{\left(2 \, x - 1\right)}^{3}} + 135\right)} - \frac{26411}{64 \, {\left(2 \, x - 1\right)}} - \frac{57281}{64} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"3/256*(2*x - 1)^4*(2076/(2*x - 1) + 14364/(2*x - 1)^2 + 66248/(2*x - 1)^3 + 135) - 26411/64/(2*x - 1) - 57281/64*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1543,1,57,0,1.111083," ","integrate((2+3*x)^3*(3+5*x)/(1-2*x)^2,x, algorithm=""giac"")","\frac{9}{32} \, {\left(2 \, x - 1\right)}^{3} {\left(\frac{69}{2 \, x - 1} + \frac{476}{{\left(2 \, x - 1\right)}^{2}} + 5\right)} - \frac{3773}{32 \, {\left(2 \, x - 1\right)}} - \frac{3283}{16} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"9/32*(2*x - 1)^3*(69/(2*x - 1) + 476/(2*x - 1)^2 + 5) - 3773/32/(2*x - 1) - 3283/16*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1544,1,48,0,0.981662," ","integrate((2+3*x)^2*(3+5*x)/(1-2*x)^2,x, algorithm=""giac"")","\frac{3}{32} \, {\left(2 \, x - 1\right)}^{2} {\left(\frac{206}{2 \, x - 1} + 15\right)} - \frac{539}{16 \, {\left(2 \, x - 1\right)}} - \frac{707}{16} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"3/32*(2*x - 1)^2*(206/(2*x - 1) + 15) - 539/16/(2*x - 1) - 707/16*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1545,1,32,0,0.975924," ","integrate((2+3*x)*(3+5*x)/(1-2*x)^2,x, algorithm=""giac"")","\frac{15}{4} \, x - \frac{77}{8 \, {\left(2 \, x - 1\right)}} - \frac{17}{2} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) - \frac{15}{8}"," ",0,"15/4*x - 77/8/(2*x - 1) - 17/2*log(1/2*abs(2*x - 1)/(2*x - 1)^2) - 15/8","A",0
1546,1,28,0,0.946989," ","integrate((3+5*x)/(1-2*x)^2,x, algorithm=""giac"")","-\frac{11}{4 \, {\left(2 \, x - 1\right)}} - \frac{5}{4} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"-11/4/(2*x - 1) - 5/4*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1547,1,25,0,1.026118," ","integrate((3+5*x)/(1-2*x)^2/(2+3*x),x, algorithm=""giac"")","-\frac{11}{14 \, {\left(2 \, x - 1\right)}} - \frac{1}{49} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-11/14/(2*x - 1) - 1/49*log(abs(-7/(2*x - 1) - 3))","A",0
1548,1,40,0,0.925249," ","integrate((3+5*x)/(1-2*x)^2/(2+3*x)^2,x, algorithm=""giac"")","\frac{1}{49 \, {\left(3 \, x + 2\right)}} + \frac{66}{343 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}} - \frac{31}{343} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"1/49/(3*x + 2) + 66/343/(7/(3*x + 2) - 2) - 31/343*log(abs(-7/(3*x + 2) + 2))","A",0
1549,1,51,0,0.992773," ","integrate((3+5*x)/(1-2*x)^2/(2+3*x)^3,x, algorithm=""giac"")","-\frac{22}{343 \, {\left(2 \, x - 1\right)}} + \frac{6 \, {\left(\frac{203}{2 \, x - 1} + 90\right)}}{2401 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{2}} + \frac{128}{2401} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-22/343/(2*x - 1) + 6/2401*(203/(2*x - 1) + 90)/(7/(2*x - 1) + 3)^2 + 128/2401*log(abs(-7/(2*x - 1) - 3))","A",0
1550,1,60,0,1.047623," ","integrate((3+5*x)/(1-2*x)^2/(2+3*x)^4,x, algorithm=""giac"")","-\frac{44}{2401 \, {\left(2 \, x - 1\right)}} + \frac{18 \, {\left(\frac{2415}{2 \, x - 1} + \frac{3038}{{\left(2 \, x - 1\right)}^{2}} + 473\right)}}{16807 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{3}} + \frac{388}{16807} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-44/2401/(2*x - 1) + 18/16807*(2415/(2*x - 1) + 3038/(2*x - 1)^2 + 473)/(7/(2*x - 1) + 3)^3 + 388/16807*log(abs(-7/(2*x - 1) - 3))","A",0
1551,1,67,0,1.017926," ","integrate((3+5*x)/(1-2*x)^2/(2+3*x)^5,x, algorithm=""giac"")","-\frac{388}{16807 \, {\left(3 \, x + 2\right)}} + \frac{528}{117649 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}} - \frac{64}{2401 \, {\left(3 \, x + 2\right)}^{2}} - \frac{31}{1029 \, {\left(3 \, x + 2\right)}^{3}} + \frac{1}{196 \, {\left(3 \, x + 2\right)}^{4}} - \frac{1040}{117649} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"-388/16807/(3*x + 2) + 528/117649/(7/(3*x + 2) - 2) - 64/2401/(3*x + 2)^2 - 31/1029/(3*x + 2)^3 + 1/196/(3*x + 2)^4 - 1040/117649*log(abs(-7/(3*x + 2) + 2))","A",0
1552,1,78,0,0.926271," ","integrate((3+5*x)/(1-2*x)^2/(2+3*x)^6,x, algorithm=""giac"")","-\frac{176}{117649 \, {\left(2 \, x - 1\right)}} + \frac{12 \, {\left(\frac{3424365}{2 \, x - 1} + \frac{13259400}{{\left(2 \, x - 1\right)}^{2}} + \frac{23152500}{{\left(2 \, x - 1\right)}^{3}} + \frac{15366400}{{\left(2 \, x - 1\right)}^{4}} + 335637\right)}}{4117715 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{5}} + \frac{2608}{823543} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-176/117649/(2*x - 1) + 12/4117715*(3424365/(2*x - 1) + 13259400/(2*x - 1)^2 + 23152500/(2*x - 1)^3 + 15366400/(2*x - 1)^4 + 335637)/(7/(2*x - 1) + 3)^5 + 2608/823543*log(abs(-7/(2*x - 1) - 3))","A",0
1553,1,87,0,1.102972," ","integrate((3+5*x)/(1-2*x)^2/(2+3*x)^7,x, algorithm=""giac"")","-\frac{352}{823543 \, {\left(2 \, x - 1\right)}} + \frac{288 \, {\left(\frac{1446039}{2 \, x - 1} + \frac{7393365}{{\left(2 \, x - 1\right)}^{2}} + \frac{19147975}{{\left(2 \, x - 1\right)}^{3}} + \frac{25210500}{{\left(2 \, x - 1\right)}^{4}} + \frac{13529635}{{\left(2 \, x - 1\right)}^{5}} + 114291\right)}}{28824005 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{6}} + \frac{128}{117649} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-352/823543/(2*x - 1) + 288/28824005*(1446039/(2*x - 1) + 7393365/(2*x - 1)^2 + 19147975/(2*x - 1)^3 + 25210500/(2*x - 1)^4 + 13529635/(2*x - 1)^5 + 114291)/(7/(2*x - 1) + 3)^6 + 128/117649*log(abs(-7/(2*x - 1) - 3))","A",0
1554,1,111,0,0.933966," ","integrate((2+3*x)^8*(3+5*x)^2/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{286720} \, {\left(2 \, x - 1\right)}^{9} {\left(\frac{66211425}{2 \, x - 1} + \frac{785410020}{{\left(2 \, x - 1\right)}^{2}} + \frac{5635662480}{{\left(2 \, x - 1\right)}^{3}} + \frac{27294241464}{{\left(2 \, x - 1\right)}^{4}} + \frac{94415339340}{{\left(2 \, x - 1\right)}^{5}} + \frac{241909873800}{{\left(2 \, x - 1\right)}^{6}} + \frac{478116124080}{{\left(2 \, x - 1\right)}^{7}} + \frac{826787759420}{{\left(2 \, x - 1\right)}^{8}} + 2551500\right)} - \frac{697540921}{2048 \, {\left(2 \, x - 1\right)}} - \frac{1512848491}{1024} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/286720*(2*x - 1)^9*(66211425/(2*x - 1) + 785410020/(2*x - 1)^2 + 5635662480/(2*x - 1)^3 + 27294241464/(2*x - 1)^4 + 94415339340/(2*x - 1)^5 + 241909873800/(2*x - 1)^6 + 478116124080/(2*x - 1)^7 + 826787759420/(2*x - 1)^8 + 2551500) - 697540921/2048/(2*x - 1) - 1512848491/1024*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1555,1,102,0,1.025984," ","integrate((2+3*x)^7*(3+5*x)^2/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{286720} \, {\left(2 \, x - 1\right)}^{8} {\left(\frac{45343800}{2 \, x - 1} + \frac{487438560}{{\left(2 \, x - 1\right)}^{2}} + \frac{3143702016}{{\left(2 \, x - 1\right)}^{3}} + \frac{13576070340}{{\left(2 \, x - 1\right)}^{4}} + \frac{41688082800}{{\left(2 \, x - 1\right)}^{5}} + \frac{96001584000}{{\left(2 \, x - 1\right)}^{6}} + \frac{189480773440}{{\left(2 \, x - 1\right)}^{7}} + 1913625\right)} - \frac{99648703}{1024 \, {\left(2 \, x - 1\right)}} - \frac{389535839}{1024} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/286720*(2*x - 1)^8*(45343800/(2*x - 1) + 487438560/(2*x - 1)^2 + 3143702016/(2*x - 1)^3 + 13576070340/(2*x - 1)^4 + 41688082800/(2*x - 1)^5 + 96001584000/(2*x - 1)^6 + 189480773440/(2*x - 1)^7 + 1913625) - 99648703/1024/(2*x - 1) - 389535839/1024*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1556,1,93,0,0.951905," ","integrate((2+3*x)^6*(3+5*x)^2/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{17920} \, {\left(2 \, x - 1\right)}^{7} {\left(\frac{1956150}{2 \, x - 1} + \frac{18894708}{{\left(2 \, x - 1\right)}^{2}} + \frac{108624915}{{\left(2 \, x - 1\right)}^{3}} + \frac{416281950}{{\left(2 \, x - 1\right)}^{4}} + \frac{1148518350}{{\left(2 \, x - 1\right)}^{5}} + \frac{2640379700}{{\left(2 \, x - 1\right)}^{6}} + 91125\right)} - \frac{14235529}{512 \, {\left(2 \, x - 1\right)}} - \frac{12386759}{128} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/17920*(2*x - 1)^7*(1956150/(2*x - 1) + 18894708/(2*x - 1)^2 + 108624915/(2*x - 1)^3 + 416281950/(2*x - 1)^4 + 1148518350/(2*x - 1)^5 + 2640379700/(2*x - 1)^6 + 91125) - 14235529/512/(2*x - 1) - 12386759/128*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1557,1,84,0,0.804788," ","integrate((2+3*x)^5*(3+5*x)^2/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{1024} \, {\left(2 \, x - 1\right)}^{6} {\left(\frac{78084}{2 \, x - 1} + \frac{672003}{{\left(2 \, x - 1\right)}^{2}} + \frac{3426780}{{\left(2 \, x - 1\right)}^{3}} + \frac{11793810}{{\left(2 \, x - 1\right)}^{4}} + \frac{32468380}{{\left(2 \, x - 1\right)}^{5}} + 4050\right)} - \frac{2033647}{256 \, {\left(2 \, x - 1\right)}} - \frac{6206585}{256} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/1024*(2*x - 1)^6*(78084/(2*x - 1) + 672003/(2*x - 1)^2 + 3426780/(2*x - 1)^3 + 11793810/(2*x - 1)^4 + 32468380/(2*x - 1)^5 + 4050) - 2033647/256/(2*x - 1) - 6206585/256*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1558,1,75,0,0.928309," ","integrate((2+3*x)^4*(3+5*x)^2/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{256} \, {\left(2 \, x - 1\right)}^{5} {\left(\frac{13905}{2 \, x - 1} + \frac{106074}{{\left(2 \, x - 1\right)}^{2}} + \frac{485436}{{\left(2 \, x - 1\right)}^{3}} + \frac{1665902}{{\left(2 \, x - 1\right)}^{4}} + 810\right)} - \frac{290521}{128 \, {\left(2 \, x - 1\right)}} - \frac{381073}{64} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/256*(2*x - 1)^5*(13905/(2*x - 1) + 106074/(2*x - 1)^2 + 485436/(2*x - 1)^3 + 1665902/(2*x - 1)^4 + 810) - 290521/128/(2*x - 1) - 381073/64*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1559,1,66,0,0.849888," ","integrate((2+3*x)^3*(3+5*x)^2/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{256} \, {\left(2 \, x - 1\right)}^{4} {\left(\frac{10260}{2 \, x - 1} + \frac{70164}{{\left(2 \, x - 1\right)}^{2}} + \frac{319816}{{\left(2 \, x - 1\right)}^{3}} + 675\right)} - \frac{41503}{64 \, {\left(2 \, x - 1\right)}} - \frac{91091}{64} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/256*(2*x - 1)^4*(10260/(2*x - 1) + 70164/(2*x - 1)^2 + 319816/(2*x - 1)^3 + 675) - 41503/64/(2*x - 1) - 91091/64*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1560,1,57,0,0.895299," ","integrate((2+3*x)^2*(3+5*x)^2/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{32} \, {\left(2 \, x - 1\right)}^{3} {\left(\frac{1020}{2 \, x - 1} + \frac{6934}{{\left(2 \, x - 1\right)}^{2}} + 75\right)} - \frac{5929}{32 \, {\left(2 \, x - 1\right)}} - \frac{1309}{4} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/32*(2*x - 1)^3*(1020/(2*x - 1) + 6934/(2*x - 1)^2 + 75) - 5929/32/(2*x - 1) - 1309/4*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1561,1,48,0,1.035082," ","integrate((2+3*x)*(3+5*x)^2/(1-2*x)^2,x, algorithm=""giac"")","\frac{5}{32} \, {\left(2 \, x - 1\right)}^{2} {\left(\frac{202}{2 \, x - 1} + 15\right)} - \frac{847}{16 \, {\left(2 \, x - 1\right)}} - \frac{1133}{16} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"5/32*(2*x - 1)^2*(202/(2*x - 1) + 15) - 847/16/(2*x - 1) - 1133/16*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1562,1,32,0,0.990141," ","integrate((3+5*x)^2/(1-2*x)^2,x, algorithm=""giac"")","\frac{25}{4} \, x - \frac{121}{8 \, {\left(2 \, x - 1\right)}} - \frac{55}{4} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) - \frac{25}{8}"," ",0,"25/4*x - 121/8/(2*x - 1) - 55/4*log(1/2*abs(2*x - 1)/(2*x - 1)^2) - 25/8","A",0
1563,1,43,0,0.886511," ","integrate((3+5*x)^2/(1-2*x)^2/(2+3*x),x, algorithm=""giac"")","-\frac{121}{28 \, {\left(2 \, x - 1\right)}} - \frac{25}{12} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{1}{147} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-121/28/(2*x - 1) - 25/12*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 1/147*log(abs(-7/(2*x - 1) - 3))","A",0
1564,1,40,0,1.124325," ","integrate((3+5*x)^2/(1-2*x)^2/(2+3*x)^2,x, algorithm=""giac"")","-\frac{1}{147 \, {\left(3 \, x + 2\right)}} + \frac{363}{343 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}} + \frac{22}{343} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"-1/147/(3*x + 2) + 363/343/(7/(3*x + 2) - 2) + 22/343*log(abs(-7/(3*x + 2) + 2))","A",0
1565,1,51,0,0.833687," ","integrate((3+5*x)^2/(1-2*x)^2/(2+3*x)^3,x, algorithm=""giac"")","-\frac{121}{343 \, {\left(2 \, x - 1\right)}} - \frac{2 \, {\left(\frac{448}{2 \, x - 1} + 195\right)}}{2401 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{2}} + \frac{319}{2401} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-121/343/(2*x - 1) - 2/2401*(448/(2*x - 1) + 195)/(7/(2*x - 1) + 3)^2 + 319/2401*log(abs(-7/(2*x - 1) - 3))","A",0
1566,1,60,0,0.969775," ","integrate((3+5*x)^2/(1-2*x)^2/(2+3*x)^4,x, algorithm=""giac"")","-\frac{242}{2401 \, {\left(2 \, x - 1\right)}} + \frac{2 \, {\left(\frac{36120}{2 \, x - 1} + \frac{40621}{{\left(2 \, x - 1\right)}^{2}} + 8031\right)}}{16807 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{3}} + \frac{1364}{16807} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-242/2401/(2*x - 1) + 2/16807*(36120/(2*x - 1) + 40621/(2*x - 1)^2 + 8031)/(7/(2*x - 1) + 3)^3 + 1364/16807*log(abs(-7/(2*x - 1) - 3))","A",0
1567,1,67,0,1.081487," ","integrate((3+5*x)^2/(1-2*x)^2/(2+3*x)^5,x, algorithm=""giac"")","-\frac{1364}{16807 \, {\left(3 \, x + 2\right)}} + \frac{2904}{117649 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}} - \frac{319}{4802 \, {\left(3 \, x + 2\right)}^{2}} + \frac{22}{1029 \, {\left(3 \, x + 2\right)}^{3}} - \frac{1}{588 \, {\left(3 \, x + 2\right)}^{4}} - \frac{4180}{117649} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"-1364/16807/(3*x + 2) + 2904/117649/(7/(3*x + 2) - 2) - 319/4802/(3*x + 2)^2 + 22/1029/(3*x + 2)^3 - 1/588/(3*x + 2)^4 - 4180/117649*log(abs(-7/(3*x + 2) + 2))","A",0
1568,1,78,0,0.862241," ","integrate((3+5*x)^2/(1-2*x)^2/(2+3*x)^6,x, algorithm=""giac"")","-\frac{968}{117649 \, {\left(2 \, x - 1\right)}} + \frac{8 \, {\left(\frac{18039105}{2 \, x - 1} + \frac{68101425}{{\left(2 \, x - 1\right)}^{2}} + \frac{114476250}{{\left(2 \, x - 1\right)}^{3}} + \frac{72150050}{{\left(2 \, x - 1\right)}^{4}} + 1800144\right)}}{4117715 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{5}} + \frac{11264}{823543} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-968/117649/(2*x - 1) + 8/4117715*(18039105/(2*x - 1) + 68101425/(2*x - 1)^2 + 114476250/(2*x - 1)^3 + 72150050/(2*x - 1)^4 + 1800144)/(7/(2*x - 1) + 3)^5 + 11264/823543*log(abs(-7/(2*x - 1) - 3))","A",0
1569,1,87,0,0.855103," ","integrate((3+5*x)^2/(1-2*x)^2/(2+3*x)^7,x, algorithm=""giac"")","-\frac{1936}{823543 \, {\left(2 \, x - 1\right)}} + \frac{4 \, {\left(\frac{407084454}{2 \, x - 1} + \frac{2053765665}{{\left(2 \, x - 1\right)}^{2}} + \frac{5220014100}{{\left(2 \, x - 1\right)}^{3}} + \frac{6680782500}{{\left(2 \, x - 1\right)}^{4}} + \frac{3440056760}{{\left(2 \, x - 1\right)}^{5}} + 32498901\right)}}{28824005 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{6}} + \frac{4048}{823543} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-1936/823543/(2*x - 1) + 4/28824005*(407084454/(2*x - 1) + 2053765665/(2*x - 1)^2 + 5220014100/(2*x - 1)^3 + 6680782500/(2*x - 1)^4 + 3440056760/(2*x - 1)^5 + 32498901)/(7/(2*x - 1) + 3)^6 + 4048/823543*log(abs(-7/(2*x - 1) - 3))","A",0
1570,1,96,0,1.019087," ","integrate((3+5*x)^2/(1-2*x)^2/(2+3*x)^8,x, algorithm=""giac"")","-\frac{3872}{5764801 \, {\left(2 \, x - 1\right)}} + \frac{16 \, {\left(\frac{6995041011}{2 \, x - 1} + \frac{43950177747}{{\left(2 \, x - 1\right)}^{2}} + \frac{148454802405}{{\left(2 \, x - 1\right)}^{3}} + \frac{284722344900}{{\left(2 \, x - 1\right)}^{4}} + \frac{294251913900}{{\left(2 \, x - 1\right)}^{5}} + \frac{128036230210}{{\left(2 \, x - 1\right)}^{6}} + 466999587\right)}}{1412376245 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{7}} + \frac{68288}{40353607} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-3872/5764801/(2*x - 1) + 16/1412376245*(6995041011/(2*x - 1) + 43950177747/(2*x - 1)^2 + 148454802405/(2*x - 1)^3 + 284722344900/(2*x - 1)^4 + 294251913900/(2*x - 1)^5 + 128036230210/(2*x - 1)^6 + 466999587)/(7/(2*x - 1) + 3)^7 + 68288/40353607*log(abs(-7/(2*x - 1) - 3))","A",0
1571,1,120,0,1.057899," ","integrate((2+3*x)^8*(3+5*x)^3/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{1146880} \, {\left(2 \, x - 1\right)}^{10} {\left(\frac{644679000}{2 \, x - 1} + \frac{8328989025}{{\left(2 \, x - 1\right)}^{2}} + \frac{65584698840}{{\left(2 \, x - 1\right)}^{3}} + \frac{351436586760}{{\left(2 \, x - 1\right)}^{4}} + \frac{1355796026928}{{\left(2 \, x - 1\right)}^{5}} + \frac{3891461518980}{{\left(2 \, x - 1\right)}^{6}} + \frac{8509458050800}{{\left(2 \, x - 1\right)}^{7}} + \frac{14652493526860}{{\left(2 \, x - 1\right)}^{8}} + \frac{22425306482040}{{\left(2 \, x - 1\right)}^{9}} + 22963500\right)} - \frac{7672950131}{4096 \, {\left(2 \, x - 1\right)}} - \frac{36770371407}{4096} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/1146880*(2*x - 1)^10*(644679000/(2*x - 1) + 8328989025/(2*x - 1)^2 + 65584698840/(2*x - 1)^3 + 351436586760/(2*x - 1)^4 + 1355796026928/(2*x - 1)^5 + 3891461518980/(2*x - 1)^6 + 8509458050800/(2*x - 1)^7 + 14652493526860/(2*x - 1)^8 + 22425306482040/(2*x - 1)^9 + 22963500) - 7672950131/4096/(2*x - 1) - 36770371407/4096*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1572,1,111,0,1.093965," ","integrate((2+3*x)^7*(3+5*x)^3/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{71680} \, {\left(2 \, x - 1\right)}^{9} {\left(\frac{27428625}{2 \, x - 1} + \frac{323475525}{{\left(2 \, x - 1\right)}^{2}} + \frac{2307572820}{{\left(2 \, x - 1\right)}^{3}} + \frac{11110625442}{{\left(2 \, x - 1\right)}^{4}} + \frac{38208385530}{{\left(2 \, x - 1\right)}^{5}} + \frac{97321773850}{{\left(2 \, x - 1\right)}^{6}} + \frac{191214919700}{{\left(2 \, x - 1\right)}^{7}} + \frac{328704835305}{{\left(2 \, x - 1\right)}^{8}} + 1063125\right)} - \frac{1096135733}{2048 \, {\left(2 \, x - 1\right)}} - \frac{298946109}{128} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/71680*(2*x - 1)^9*(27428625/(2*x - 1) + 323475525/(2*x - 1)^2 + 2307572820/(2*x - 1)^3 + 11110625442/(2*x - 1)^4 + 38208385530/(2*x - 1)^5 + 97321773850/(2*x - 1)^6 + 191214919700/(2*x - 1)^7 + 328704835305/(2*x - 1)^8 + 1063125) - 1096135733/2048/(2*x - 1) - 298946109/128*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1573,1,102,0,0.917445," ","integrate((2+3*x)^6*(3+5*x)^3/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{286720} \, {\left(2 \, x - 1\right)}^{8} {\left(\frac{75087000}{2 \, x - 1} + \frac{801964800}{{\left(2 \, x - 1\right)}^{2}} + \frac{5138731584}{{\left(2 \, x - 1\right)}^{3}} + \frac{22047451020}{{\left(2 \, x - 1\right)}^{4}} + \frac{67259967600}{{\left(2 \, x - 1\right)}^{5}} + \frac{153877208800}{{\left(2 \, x - 1\right)}^{6}} + \frac{301719264000}{{\left(2 \, x - 1\right)}^{7}} + 3189375\right)} - \frac{156590819}{1024 \, {\left(2 \, x - 1\right)}} - \frac{616195041}{1024} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/286720*(2*x - 1)^8*(75087000/(2*x - 1) + 801964800/(2*x - 1)^2 + 5138731584/(2*x - 1)^3 + 22047451020/(2*x - 1)^4 + 67259967600/(2*x - 1)^5 + 153877208800/(2*x - 1)^6 + 301719264000/(2*x - 1)^7 + 3189375) - 156590819/1024/(2*x - 1) - 616195041/1024*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1574,1,93,0,1.048883," ","integrate((2+3*x)^5*(3+5*x)^3/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{7168} \, {\left(2 \, x - 1\right)}^{7} {\left(\frac{1294650}{2 \, x - 1} + \frac{12414276}{{\left(2 \, x - 1\right)}^{2}} + \frac{70848603}{{\left(2 \, x - 1\right)}^{3}} + \frac{269525480}{{\left(2 \, x - 1\right)}^{4}} + \frac{738160010}{{\left(2 \, x - 1\right)}^{5}} + \frac{1684493580}{{\left(2 \, x - 1\right)}^{6}} + 60750\right)} - \frac{22370117}{512 \, {\left(2 \, x - 1\right)}} - \frac{39220335}{256} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/7168*(2*x - 1)^7*(1294650/(2*x - 1) + 12414276/(2*x - 1)^2 + 70848603/(2*x - 1)^3 + 269525480/(2*x - 1)^4 + 738160010/(2*x - 1)^5 + 1684493580/(2*x - 1)^6 + 60750) - 22370117/512/(2*x - 1) - 39220335/256*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1575,1,84,0,0.953912," ","integrate((2+3*x)^4*(3+5*x)^3/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{1024} \, {\left(2 \, x - 1\right)}^{6} {\left(\frac{129060}{2 \, x - 1} + \frac{1101465}{{\left(2 \, x - 1\right)}^{2}} + \frac{5569868}{{\left(2 \, x - 1\right)}^{3}} + \frac{19009102}{{\left(2 \, x - 1\right)}^{4}} + \frac{51892764}{{\left(2 \, x - 1\right)}^{5}} + 6750\right)} - \frac{3195731}{256 \, {\left(2 \, x - 1\right)}} - \frac{9836211}{256} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/1024*(2*x - 1)^6*(129060/(2*x - 1) + 1101465/(2*x - 1)^2 + 5569868/(2*x - 1)^3 + 19009102/(2*x - 1)^4 + 51892764/(2*x - 1)^5 + 6750) - 3195731/256/(2*x - 1) - 9836211/256*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1576,1,75,0,1.069431," ","integrate((2+3*x)^3*(3+5*x)^3/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{128} \, {\left(2 \, x - 1\right)}^{5} {\left(\frac{11475}{2 \, x - 1} + \frac{86685}{{\left(2 \, x - 1\right)}^{2}} + \frac{392836}{{\left(2 \, x - 1\right)}^{3}} + \frac{1334949}{{\left(2 \, x - 1\right)}^{4}} + 675\right)} - \frac{456533}{128 \, {\left(2 \, x - 1\right)}} - \frac{302379}{32} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/128*(2*x - 1)^5*(11475/(2*x - 1) + 86685/(2*x - 1)^2 + 392836/(2*x - 1)^3 + 1334949/(2*x - 1)^4 + 675) - 456533/128/(2*x - 1) - 302379/32*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1577,1,66,0,1.151546," ","integrate((2+3*x)^2*(3+5*x)^3/(1-2*x)^2,x, algorithm=""giac"")","\frac{1}{256} \, {\left(2 \, x - 1\right)}^{4} {\left(\frac{16900}{2 \, x - 1} + \frac{114220}{{\left(2 \, x - 1\right)}^{2}} + \frac{514536}{{\left(2 \, x - 1\right)}^{3}} + 1125\right)} - \frac{65219}{64 \, {\left(2 \, x - 1\right)}} - \frac{144837}{64} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"1/256*(2*x - 1)^4*(16900/(2*x - 1) + 114220/(2*x - 1)^2 + 514536/(2*x - 1)^3 + 1125) - 65219/64/(2*x - 1) - 144837/64*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1578,1,57,0,1.044427," ","integrate((2+3*x)*(3+5*x)^3/(1-2*x)^2,x, algorithm=""giac"")","\frac{5}{32} \, {\left(2 \, x - 1\right)}^{3} {\left(\frac{335}{2 \, x - 1} + \frac{2244}{{\left(2 \, x - 1\right)}^{2}} + 25\right)} - \frac{9317}{32 \, {\left(2 \, x - 1\right)}} - \frac{8349}{16} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"5/32*(2*x - 1)^3*(335/(2*x - 1) + 2244/(2*x - 1)^2 + 25) - 9317/32/(2*x - 1) - 8349/16*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1579,1,48,0,0.989945," ","integrate((3+5*x)^3/(1-2*x)^2,x, algorithm=""giac"")","\frac{25}{32} \, {\left(2 \, x - 1\right)}^{2} {\left(\frac{66}{2 \, x - 1} + 5\right)} - \frac{1331}{16 \, {\left(2 \, x - 1\right)}} - \frac{1815}{16} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right)"," ",0,"25/32*(2*x - 1)^2*(66/(2*x - 1) + 5) - 1331/16/(2*x - 1) - 1815/16*log(1/2*abs(2*x - 1)/(2*x - 1)^2)","A",0
1580,1,47,0,0.774848," ","integrate((3+5*x)^3/(1-2*x)^2/(2+3*x),x, algorithm=""giac"")","\frac{125}{12} \, x - \frac{1331}{56 \, {\left(2 \, x - 1\right)}} - \frac{200}{9} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) - \frac{1}{441} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right) - \frac{125}{24}"," ",0,"125/12*x - 1331/56/(2*x - 1) - 200/9*log(1/2*abs(2*x - 1)/(2*x - 1)^2) - 1/441*log(abs(-7/(2*x - 1) - 3)) - 125/24","A",0
1581,1,58,0,1.052769," ","integrate((3+5*x)^3/(1-2*x)^2/(2+3*x)^2,x, algorithm=""giac"")","\frac{1}{441 \, {\left(3 \, x + 2\right)}} + \frac{3993}{686 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}} - \frac{125}{36} \, \log\left(\frac{{\left| 3 \, x + 2 \right|}}{3 \, {\left(3 \, x + 2\right)}^{2}}\right) + \frac{4719}{1372} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"1/441/(3*x + 2) + 3993/686/(7/(3*x + 2) - 2) - 125/36*log(1/3*abs(3*x + 2)/(3*x + 2)^2) + 4719/1372*log(abs(-7/(3*x + 2) + 2))","A",0
1582,1,51,0,1.014702," ","integrate((3+5*x)^3/(1-2*x)^2/(2+3*x)^3,x, algorithm=""giac"")","-\frac{1331}{686 \, {\left(2 \, x - 1\right)}} + \frac{2 \, {\left(\frac{231}{2 \, x - 1} + 100\right)}}{2401 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{2}} - \frac{363}{2401} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-1331/686/(2*x - 1) + 2/2401*(231/(2*x - 1) + 100)/(7/(2*x - 1) + 3)^2 - 363/2401*log(abs(-7/(2*x - 1) - 3))","A",0
1583,1,60,0,0.937099," ","integrate((3+5*x)^3/(1-2*x)^2/(2+3*x)^4,x, algorithm=""giac"")","-\frac{1331}{2401 \, {\left(2 \, x - 1\right)}} - \frac{2 \, {\left(\frac{43645}{2 \, x - 1} + \frac{50127}{{\left(2 \, x - 1\right)}^{2}} + 9502\right)}}{16807 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{3}} + \frac{3267}{16807} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-1331/2401/(2*x - 1) - 2/16807*(43645/(2*x - 1) + 50127/(2*x - 1)^2 + 9502)/(7/(2*x - 1) + 3)^3 + 3267/16807*log(abs(-7/(2*x - 1) - 3))","A",0
1584,1,67,0,0.897552," ","integrate((3+5*x)^3/(1-2*x)^2/(2+3*x)^5,x, algorithm=""giac"")","-\frac{3267}{16807 \, {\left(3 \, x + 2\right)}} + \frac{15972}{117649 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}} + \frac{363}{4802 \, {\left(3 \, x + 2\right)}^{2}} - \frac{101}{9261 \, {\left(3 \, x + 2\right)}^{3}} + \frac{1}{1764 \, {\left(3 \, x + 2\right)}^{4}} - \frac{14520}{117649} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"-3267/16807/(3*x + 2) + 15972/117649/(7/(3*x + 2) - 2) + 363/4802/(3*x + 2)^2 - 101/9261/(3*x + 2)^3 + 1/1764/(3*x + 2)^4 - 14520/117649*log(abs(-7/(3*x + 2) + 2))","A",0
1585,1,78,0,0.960116," ","integrate((3+5*x)^3/(1-2*x)^2/(2+3*x)^6,x, algorithm=""giac"")","-\frac{5324}{117649 \, {\left(2 \, x - 1\right)}} + \frac{2 \, {\left(\frac{204418935}{2 \, x - 1} + \frac{740244225}{{\left(2 \, x - 1\right)}^{2}} + \frac{1185622375}{{\left(2 \, x - 1\right)}^{3}} + \frac{709135350}{{\left(2 \, x - 1\right)}^{4}} + 21049983\right)}}{4117715 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{5}} + \frac{45012}{823543} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-5324/117649/(2*x - 1) + 2/4117715*(204418935/(2*x - 1) + 740244225/(2*x - 1)^2 + 1185622375/(2*x - 1)^3 + 709135350/(2*x - 1)^4 + 21049983)/(7/(2*x - 1) + 3)^5 + 45012/823543*log(abs(-7/(2*x - 1) - 3))","A",0
1586,1,87,0,0.885360," ","integrate((3+5*x)^3/(1-2*x)^2/(2+3*x)^7,x, algorithm=""giac"")","-\frac{10648}{823543 \, {\left(2 \, x - 1\right)}} + \frac{4 \, {\left(\frac{1421066052}{2 \, x - 1} + \frac{7028898345}{{\left(2 \, x - 1\right)}^{2}} + \frac{17396565550}{{\left(2 \, x - 1\right)}^{3}} + \frac{21521363500}{{\left(2 \, x - 1\right)}^{4}} + \frac{10637822580}{{\left(2 \, x - 1\right)}^{5}} + 115177113\right)}}{28824005 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{6}} + \frac{17424}{823543} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-10648/823543/(2*x - 1) + 4/28824005*(1421066052/(2*x - 1) + 7028898345/(2*x - 1)^2 + 17396565550/(2*x - 1)^3 + 21521363500/(2*x - 1)^4 + 10637822580/(2*x - 1)^5 + 115177113)/(7/(2*x - 1) + 3)^6 + 17424/823543*log(abs(-7/(2*x - 1) - 3))","A",0
1587,1,96,0,1.023582," ","integrate((3+5*x)^3/(1-2*x)^2/(2+3*x)^8,x, algorithm=""giac"")","-\frac{21296}{5764801 \, {\left(2 \, x - 1\right)}} + \frac{4 \, {\left(\frac{108987508287}{2 \, x - 1} + \frac{677288963799}{{\left(2 \, x - 1\right)}^{2}} + \frac{2255033089785}{{\left(2 \, x - 1\right)}^{3}} + \frac{4241269979800}{{\left(2 \, x - 1\right)}^{4}} + \frac{4269658683500}{{\left(2 \, x - 1\right)}^{5}} + \frac{1795850807520}{{\left(2 \, x - 1\right)}^{6}} + 7339564629\right)}}{1412376245 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{7}} + \frac{307824}{40353607} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right)"," ",0,"-21296/5764801/(2*x - 1) + 4/1412376245*(108987508287/(2*x - 1) + 677288963799/(2*x - 1)^2 + 2255033089785/(2*x - 1)^3 + 4241269979800/(2*x - 1)^4 + 4269658683500/(2*x - 1)^5 + 1795850807520/(2*x - 1)^6 + 7339564629)/(7/(2*x - 1) + 3)^7 + 307824/40353607*log(abs(-7/(2*x - 1) - 3))","A",0
1588,1,99,0,0.935022," ","integrate((2+3*x)^8/(1-2*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{27}{16000000} \, {\left(2 \, x - 1\right)}^{6} {\left(\frac{10003500}{2 \, x - 1} + \frac{88252875}{{\left(2 \, x - 1\right)}^{2}} + \frac{461424900}{{\left(2 \, x - 1\right)}^{3}} + \frac{1628610330}{{\left(2 \, x - 1\right)}^{4}} + \frac{4599014548}{{\left(2 \, x - 1\right)}^{5}} + 506250\right)} - \frac{5764801}{2816 \, {\left(2 \, x - 1\right)}} - \frac{121766107311}{20000000} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{1}{9453125} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"27/16000000*(2*x - 1)^6*(10003500/(2*x - 1) + 88252875/(2*x - 1)^2 + 461424900/(2*x - 1)^3 + 1628610330/(2*x - 1)^4 + 4599014548/(2*x - 1)^5 + 506250) - 5764801/2816/(2*x - 1) - 121766107311/20000000*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 1/9453125*log(abs(-11/(2*x - 1) - 5))","A",0
1589,1,90,0,1.027655," ","integrate((2+3*x)^7/(1-2*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{27}{400000} \, {\left(2 \, x - 1\right)}^{5} {\left(\frac{178875}{2 \, x - 1} + \frac{1404675}{{\left(2 \, x - 1\right)}^{2}} + \frac{6619260}{{\left(2 \, x - 1\right)}^{3}} + \frac{23397131}{{\left(2 \, x - 1\right)}^{4}} + 10125\right)} - \frac{823543}{1408 \, {\left(2 \, x - 1\right)}} - \frac{744421617}{500000} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{1}{1890625} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"27/400000*(2*x - 1)^5*(178875/(2*x - 1) + 1404675/(2*x - 1)^2 + 6619260/(2*x - 1)^3 + 23397131/(2*x - 1)^4 + 10125) - 823543/1408/(2*x - 1) - 744421617/500000*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 1/1890625*log(abs(-11/(2*x - 1) - 5))","A",0
1590,1,81,0,1.175945," ","integrate((2+3*x)^6/(1-2*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{27}{160000} \, {\left(2 \, x - 1\right)}^{4} {\left(\frac{53100}{2 \, x - 1} + \frac{376020}{{\left(2 \, x - 1\right)}^{2}} + \frac{1775512}{{\left(2 \, x - 1\right)}^{3}} + 3375\right)} - \frac{117649}{704 \, {\left(2 \, x - 1\right)}} - \frac{70752609}{200000} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{1}{378125} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"27/160000*(2*x - 1)^4*(53100/(2*x - 1) + 376020/(2*x - 1)^2 + 1775512/(2*x - 1)^3 + 3375) - 117649/704/(2*x - 1) - 70752609/200000*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 1/378125*log(abs(-11/(2*x - 1) - 5))","A",0
1591,1,72,0,1.207710," ","integrate((2+3*x)^5/(1-2*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{27}{4000} \, {\left(2 \, x - 1\right)}^{3} {\left(\frac{1065}{2 \, x - 1} + \frac{7564}{{\left(2 \, x - 1\right)}^{2}} + 75\right)} - \frac{16807}{352 \, {\left(2 \, x - 1\right)}} - \frac{806121}{10000} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{1}{75625} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"27/4000*(2*x - 1)^3*(1065/(2*x - 1) + 7564/(2*x - 1)^2 + 75) - 16807/352/(2*x - 1) - 806121/10000*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 1/75625*log(abs(-11/(2*x - 1) - 5))","A",0
1592,1,63,0,1.210522," ","integrate((2+3*x)^4/(1-2*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{27}{800} \, {\left(2 \, x - 1\right)}^{2} {\left(\frac{214}{2 \, x - 1} + 15\right)} - \frac{2401}{176 \, {\left(2 \, x - 1\right)}} - \frac{34371}{2000} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{1}{15125} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"27/800*(2*x - 1)^2*(214/(2*x - 1) + 15) - 2401/176/(2*x - 1) - 34371/2000*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 1/15125*log(abs(-11/(2*x - 1) - 5))","A",0
1593,1,47,0,1.192947," ","integrate((2+3*x)^3/(1-2*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{27}{20} \, x - \frac{343}{88 \, {\left(2 \, x - 1\right)}} - \frac{81}{25} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{1}{3025} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right) - \frac{27}{40}"," ",0,"27/20*x - 343/88/(2*x - 1) - 81/25*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 1/3025*log(abs(-11/(2*x - 1) - 5)) - 27/40","A",0
1594,1,43,0,1.185706," ","integrate((2+3*x)^2/(1-2*x)^2/(3+5*x),x, algorithm=""giac"")","-\frac{49}{44 \, {\left(2 \, x - 1\right)}} - \frac{9}{20} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{1}{605} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-49/44/(2*x - 1) - 9/20*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 1/605*log(abs(-11/(2*x - 1) - 5))","A",0
1595,1,25,0,1.140238," ","integrate((2+3*x)/(1-2*x)^2/(3+5*x),x, algorithm=""giac"")","-\frac{7}{22 \, {\left(2 \, x - 1\right)}} + \frac{1}{121} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-7/22/(2*x - 1) + 1/121*log(abs(-11/(2*x - 1) - 5))","A",0
1596,1,25,0,1.176667," ","integrate(1/(1-2*x)^2/(3+5*x),x, algorithm=""giac"")","-\frac{1}{11 \, {\left(2 \, x - 1\right)}} + \frac{5}{121} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-1/11/(2*x - 1) + 5/121*log(abs(-11/(2*x - 1) - 5))","A",0
1597,1,40,0,1.219718," ","integrate(1/(1-2*x)^2/(2+3*x)/(3+5*x),x, algorithm=""giac"")","-\frac{2}{77 \, {\left(2 \, x - 1\right)}} - \frac{9}{49} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right) + \frac{25}{121} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-2/77/(2*x - 1) - 9/49*log(abs(-7/(2*x - 1) - 3)) + 25/121*log(abs(-11/(2*x - 1) - 5))","A",0
1598,1,55,0,1.211527," ","integrate(1/(1-2*x)^2/(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{9}{49 \, {\left(3 \, x + 2\right)}} + \frac{24}{3773 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}} + \frac{125}{121} \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right) - \frac{404}{41503} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"9/49/(3*x + 2) + 24/3773/(7/(3*x + 2) - 2) + 125/121*log(abs(-1/(3*x + 2) + 5)) - 404/41503*log(abs(-7/(3*x + 2) + 2))","A",0
1599,1,66,0,1.166250," ","integrate(1/(1-2*x)^2/(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","-\frac{8}{3773 \, {\left(2 \, x - 1\right)}} - \frac{54 \, {\left(\frac{287}{2 \, x - 1} + 120\right)}}{2401 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{2}} - \frac{12393}{2401} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right) + \frac{625}{121} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-8/3773/(2*x - 1) - 54/2401*(287/(2*x - 1) + 120)/(7/(2*x - 1) + 3)^2 - 12393/2401*log(abs(-7/(2*x - 1) - 3)) + 625/121*log(abs(-11/(2*x - 1) - 5))","A",0
1600,1,75,0,1.238403," ","integrate(1/(1-2*x)^2/(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","-\frac{16}{26411 \, {\left(2 \, x - 1\right)}} - \frac{54 \, {\left(\frac{60375}{2 \, x - 1} + \frac{71491}{{\left(2 \, x - 1\right)}^{2}} + 12756\right)}}{16807 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{3}} - \frac{434043}{16807} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right) + \frac{3125}{121} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-16/26411/(2*x - 1) - 54/16807*(60375/(2*x - 1) + 71491/(2*x - 1)^2 + 12756)/(7/(2*x - 1) + 3)^3 - 434043/16807*log(abs(-7/(2*x - 1) - 3)) + 3125/121*log(abs(-11/(2*x - 1) - 5))","A",0
1601,1,82,0,1.191921," ","integrate(1/(1-2*x)^2/(2+3*x)^5/(3+5*x),x, algorithm=""giac"")","\frac{434043}{16807 \, {\left(3 \, x + 2\right)}} + \frac{192}{1294139 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}} + \frac{12393}{4802 \, {\left(3 \, x + 2\right)}^{2}} + \frac{117}{343 \, {\left(3 \, x + 2\right)}^{3}} + \frac{9}{196 \, {\left(3 \, x + 2\right)}^{4}} + \frac{15625}{121} \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right) - \frac{6400}{14235529} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"434043/16807/(3*x + 2) + 192/1294139/(7/(3*x + 2) - 2) + 12393/4802/(3*x + 2)^2 + 117/343/(3*x + 2)^3 + 9/196/(3*x + 2)^4 + 15625/121*log(abs(-1/(3*x + 2) + 5)) - 6400/14235529*log(abs(-7/(3*x + 2) + 2))","A",0
1602,1,93,0,1.263129," ","integrate(1/(1-2*x)^2/(2+3*x)^6/(3+5*x),x, algorithm=""giac"")","-\frac{64}{1294139 \, {\left(2 \, x - 1\right)}} - \frac{54 \, {\left(\frac{6617665845}{2 \, x - 1} + \frac{23331909825}{{\left(2 \, x - 1\right)}^{2}} + \frac{36565643625}{{\left(2 \, x - 1\right)}^{3}} + \frac{21492731575}{{\left(2 \, x - 1\right)}^{4}} + 703958526\right)}}{4117715 \, {\left(\frac{7}{2 \, x - 1} + 3\right)}^{5}} - \frac{531729603}{823543} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right) + \frac{78125}{121} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-64/1294139/(2*x - 1) - 54/4117715*(6617665845/(2*x - 1) + 23331909825/(2*x - 1)^2 + 36565643625/(2*x - 1)^3 + 21492731575/(2*x - 1)^4 + 703958526)/(7/(2*x - 1) + 3)^5 - 531729603/823543*log(abs(-7/(2*x - 1) - 3)) + 78125/121*log(abs(-11/(2*x - 1) - 5))","A",0
1603,1,112,0,1.159286," ","integrate((2+3*x)^8/(1-2*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{{\left(5 \, x + 3\right)}^{5} {\left(\frac{1618458732}{5 \, x + 3} + \frac{15560361630}{{\left(5 \, x + 3\right)}^{2}} + \frac{171888467850}{{\left(5 \, x + 3\right)}^{3}} + \frac{2836763461125}{{\left(5 \, x + 3\right)}^{4}} - \frac{31204564033975}{{\left(5 \, x + 3\right)}^{5}} + 139723056\right)}}{16637500000 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}} - \frac{1}{9453125 \, {\left(5 \, x + 3\right)}} - \frac{4688889417}{5000000} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) + \frac{79883671}{85184} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/16637500000*(5*x + 3)^5*(1618458732/(5*x + 3) + 15560361630/(5*x + 3)^2 + 171888467850/(5*x + 3)^3 + 2836763461125/(5*x + 3)^4 - 31204564033975/(5*x + 3)^5 + 139723056)/(11/(5*x + 3) - 2) - 1/9453125/(5*x + 3) - 4688889417/5000000*log(1/5*abs(5*x + 3)/(5*x + 3)^2) + 79883671/85184*log(abs(-11/(5*x + 3) + 2))","A",0
1604,1,103,0,1.169901," ","integrate((2+3*x)^7/(1-2*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{{\left(5 \, x + 3\right)}^{4} {\left(\frac{142957386}{5 \, x + 3} + \frac{1626867990}{{\left(5 \, x + 3\right)}^{2}} + \frac{26903695995}{{\left(5 \, x + 3\right)}^{3}} - \frac{295961527385}{{\left(5 \, x + 3\right)}^{4}} + 11643588\right)}}{665500000 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}} - \frac{1}{1890625 \, {\left(5 \, x + 3\right)}} - \frac{44471943}{200000} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) + \frac{18941489}{85184} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/665500000*(5*x + 3)^4*(142957386/(5*x + 3) + 1626867990/(5*x + 3)^2 + 26903695995/(5*x + 3)^3 - 295961527385/(5*x + 3)^4 + 11643588)/(11/(5*x + 3) - 2) - 1/1890625/(5*x + 3) - 44471943/200000*log(1/5*abs(5*x + 3)/(5*x + 3)^2) + 18941489/85184*log(abs(-11/(5*x + 3) + 2))","A",0
1605,1,94,0,1.172667," ","integrate((2+3*x)^6/(1-2*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{{\left(5 \, x + 3\right)}^{3} {\left(\frac{4528062}{5 \, x + 3} + \frac{76330188}{{\left(5 \, x + 3\right)}^{2}} - \frac{840384278}{{\left(5 \, x + 3\right)}^{3}} + 323433\right)}}{8318750 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}} - \frac{1}{378125 \, {\left(5 \, x + 3\right)}} - \frac{157842}{3125} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) + \frac{67228}{1331} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/8318750*(5*x + 3)^3*(4528062/(5*x + 3) + 76330188/(5*x + 3)^2 - 840384278/(5*x + 3)^3 + 323433)/(11/(5*x + 3) - 2) - 1/378125/(5*x + 3) - 157842/3125*log(1/5*abs(5*x + 3)/(5*x + 3)^2) + 67228/1331*log(abs(-11/(5*x + 3) + 2))","A",0
1606,1,85,0,1.226260," ","integrate((2+3*x)^5/(1-2*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{{\left(5 \, x + 3\right)}^{2} {\left(\frac{12829509}{5 \, x + 3} - \frac{142651871}{{\left(5 \, x + 3\right)}^{2}} + 646866\right)}}{6655000 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}} - \frac{1}{75625 \, {\left(5 \, x + 3\right)}} - \frac{107109}{10000} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) + \frac{228095}{21296} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/6655000*(5*x + 3)^2*(12829509/(5*x + 3) - 142651871/(5*x + 3)^2 + 646866)/(11/(5*x + 3) - 2) - 1/75625/(5*x + 3) - 107109/10000*log(1/5*abs(5*x + 3)/(5*x + 3)^2) + 228095/21296*log(abs(-11/(5*x + 3) + 2))","A",0
1607,1,74,0,1.197280," ","integrate((2+3*x)^4/(1-2*x)^2/(3+5*x)^2,x, algorithm=""giac"")","\frac{{\left(5 \, x + 3\right)} {\left(\frac{1343273}{5 \, x + 3} - 107811\right)}}{332750 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}} - \frac{1}{15125 \, {\left(5 \, x + 3\right)}} - \frac{999}{500} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) + \frac{10633}{5324} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"1/332750*(5*x + 3)*(1343273/(5*x + 3) - 107811)/(11/(5*x + 3) - 2) - 1/15125/(5*x + 3) - 999/500*log(1/5*abs(5*x + 3)/(5*x + 3)^2) + 10633/5324*log(abs(-11/(5*x + 3) + 2))","A",0
1608,1,58,0,1.201792," ","integrate((2+3*x)^3/(1-2*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{3025 \, {\left(5 \, x + 3\right)}} + \frac{1715}{2662 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}} - \frac{27}{100} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) + \frac{1421}{5324} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/3025/(5*x + 3) + 1715/2662/(11/(5*x + 3) - 2) - 27/100*log(1/5*abs(5*x + 3)/(5*x + 3)^2) + 1421/5324*log(abs(-11/(5*x + 3) + 2))","A",0
1609,1,40,0,1.203619," ","integrate((2+3*x)^2/(1-2*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{605 \, {\left(5 \, x + 3\right)}} + \frac{245}{1331 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}} - \frac{14}{1331} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/605/(5*x + 3) + 245/1331/(11/(5*x + 3) - 2) - 14/1331*log(abs(-11/(5*x + 3) + 2))","A",0
1610,1,40,0,1.188047," ","integrate((2+3*x)/(1-2*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{121 \, {\left(5 \, x + 3\right)}} + \frac{70}{1331 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}} - \frac{37}{1331} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/121/(5*x + 3) + 70/1331/(11/(5*x + 3) - 2) - 37/1331*log(abs(-11/(5*x + 3) + 2))","A",0
1611,1,40,0,1.187078," ","integrate(1/(1-2*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{5}{121 \, {\left(5 \, x + 3\right)}} + \frac{20}{1331 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}} - \frac{20}{1331} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-5/121/(5*x + 3) + 20/1331/(11/(5*x + 3) - 2) - 20/1331*log(abs(-11/(5*x + 3) + 2))","A",0
1612,1,55,0,1.172673," ","integrate(1/(1-2*x)^2/(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{25}{121 \, {\left(5 \, x + 3\right)}} + \frac{40}{9317 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}} + \frac{27}{49} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{412}{65219} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-25/121/(5*x + 3) + 40/9317/(11/(5*x + 3) - 2) + 27/49*log(abs(-1/(5*x + 3) - 3)) - 412/65219*log(abs(-11/(5*x + 3) + 2))","A",0
1613,1,77,0,1.227168," ","integrate(1/(1-2*x)^2/(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{125}{121 \, {\left(5 \, x + 3\right)}} + \frac{5 \, {\left(\frac{1185937}{5 \, x + 3} - 215574\right)}}{65219 \, {\left(\frac{11}{5 \, x + 3} - 2\right)} {\left(\frac{1}{5 \, x + 3} + 3\right)}} + \frac{1998}{343} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{1088}{456533} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-125/121/(5*x + 3) + 5/65219*(1185937/(5*x + 3) - 215574)/((11/(5*x + 3) - 2)*(1/(5*x + 3) + 3)) + 1998/343*log(abs(-1/(5*x + 3) - 3)) - 1088/456533*log(abs(-11/(5*x + 3) + 2))","A",0
1614,1,86,0,1.143346," ","integrate(1/(1-2*x)^2/(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{625}{121 \, {\left(5 \, x + 3\right)}} + \frac{5 \, {\left(\frac{604065417}{5 \, x + 3} + \frac{258530842}{{\left(5 \, x + 3\right)}^{2}} - 118375902\right)}}{913066 \, {\left(\frac{11}{5 \, x + 3} - 2\right)} {\left(\frac{1}{5 \, x + 3} + 3\right)}^{2}} + \frac{107109}{2401} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{2704}{3195731} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-625/121/(5*x + 3) + 5/913066*(604065417/(5*x + 3) + 258530842/(5*x + 3)^2 - 118375902)/((11/(5*x + 3) - 2)*(1/(5*x + 3) + 3)^2) + 107109/2401*log(abs(-1/(5*x + 3) - 3)) - 2704/3195731*log(abs(-11/(5*x + 3) + 2))","A",0
1615,1,95,0,1.121597," ","integrate(1/(1-2*x)^2/(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","-\frac{3125}{121 \, {\left(5 \, x + 3\right)}} + \frac{5 \, {\left(\frac{52083388017}{5 \, x + 3} + \frac{44729490744}{{\left(5 \, x + 3\right)}^{2}} + \frac{9228837286}{{\left(5 \, x + 3\right)}^{3}} - 11003835798\right)}}{3195731 \, {\left(\frac{11}{5 \, x + 3} - 2\right)} {\left(\frac{1}{5 \, x + 3} + 3\right)}^{3}} + \frac{5050944}{16807} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{6464}{22370117} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-3125/121/(5*x + 3) + 5/3195731*(52083388017/(5*x + 3) + 44729490744/(5*x + 3)^2 + 9228837286/(5*x + 3)^3 - 11003835798)/((11/(5*x + 3) - 2)*(1/(5*x + 3) + 3)^3) + 5050944/16807*log(abs(-1/(5*x + 3) - 3)) - 6464/22370117*log(abs(-11/(5*x + 3) + 2))","A",0
1616,1,104,0,1.197395," ","integrate(1/(1-2*x)^2/(2+3*x)^5/(3+5*x)^2,x, algorithm=""giac"")","-\frac{15625}{121 \, {\left(5 \, x + 3\right)}} + \frac{25 \, {\left(\frac{6062344264539}{5 \, x + 3} + \frac{7964082495612}{{\left(5 \, x + 3\right)}^{2}} + \frac{3205106234076}{{\left(5 \, x + 3\right)}^{3}} + \frac{435889532968}{{\left(5 \, x + 3\right)}^{4}} - 1385260555122\right)}}{89480468 \, {\left(\frac{11}{5 \, x + 3} - 2\right)} {\left(\frac{1}{5 \, x + 3} + 3\right)}^{4}} + \frac{222359715}{117649} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{15040}{156590819} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-15625/121/(5*x + 3) + 25/89480468*(6062344264539/(5*x + 3) + 7964082495612/(5*x + 3)^2 + 3205106234076/(5*x + 3)^3 + 435889532968/(5*x + 3)^4 - 1385260555122)/((11/(5*x + 3) - 2)*(1/(5*x + 3) + 3)^4) + 222359715/117649*log(abs(-1/(5*x + 3) - 3)) - 15040/156590819*log(abs(-11/(5*x + 3) + 2))","A",0
1617,1,112,0,1.218731," ","integrate((2+3*x)^8/(1-2*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{{\left(2 \, x - 1\right)}^{4} {\left(\frac{1230096557250}{2 \, x - 1} + \frac{11539159570125}{{\left(2 \, x - 1\right)}^{2}} + \frac{69299175042900}{{\left(2 \, x - 1\right)}^{3}} + \frac{182728002843460}{{\left(2 \, x - 1\right)}^{4}} + \frac{163740919200408}{{\left(2 \, x - 1\right)}^{5}} + 60037250625\right)}}{11712800000 \, {\left(\frac{11}{2 \, x - 1} + 5\right)}^{2}} - \frac{5764801}{85184 \, {\left(2 \, x - 1\right)}} - \frac{139743873}{1000000} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{6312}{228765625} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"1/11712800000*(2*x - 1)^4*(1230096557250/(2*x - 1) + 11539159570125/(2*x - 1)^2 + 69299175042900/(2*x - 1)^3 + 182728002843460/(2*x - 1)^4 + 163740919200408/(2*x - 1)^5 + 60037250625)/(11/(2*x - 1) + 5)^2 - 5764801/85184/(2*x - 1) - 139743873/1000000*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 6312/228765625*log(abs(-11/(2*x - 1) - 5))","A",0
1618,1,103,0,1.196639," ","integrate((2+3*x)^7/(1-2*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{{\left(2 \, x - 1\right)}^{3} {\left(\frac{25349061375}{2 \, x - 1} + \frac{234545525775}{{\left(2 \, x - 1\right)}^{2}} + \frac{720756547985}{{\left(2 \, x - 1\right)}^{3}} + \frac{689127341628}{{\left(2 \, x - 1\right)}^{4}} + 1334161125\right)}}{292820000 \, {\left(\frac{11}{2 \, x - 1} + 5\right)}^{2}} - \frac{823543}{42592 \, {\left(2 \, x - 1\right)}} - \frac{1582011}{50000} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{4761}{45753125} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"1/292820000*(2*x - 1)^3*(25349061375/(2*x - 1) + 234545525775/(2*x - 1)^2 + 720756547985/(2*x - 1)^3 + 689127341628/(2*x - 1)^4 + 1334161125)/(11/(2*x - 1) + 5)^2 - 823543/42592/(2*x - 1) - 1582011/50000*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 4761/45753125*log(abs(-11/(2*x - 1) - 5))","A",0
1619,1,94,0,1.209650," ","integrate((2+3*x)^6/(1-2*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{{\left(2 \, x - 1\right)}^{2} {\left(\frac{25615893600}{2 \, x - 1} + \frac{93337977265}{{\left(2 \, x - 1\right)}^{2}} + \frac{95568773322}{{\left(2 \, x - 1\right)}^{3}} + 1334161125\right)}}{292820000 \, {\left(\frac{11}{2 \, x - 1} + 5\right)}^{2}} - \frac{117649}{21296 \, {\left(2 \, x - 1\right)}} - \frac{333639}{50000} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{17139}{45753125} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"1/292820000*(2*x - 1)^2*(25615893600/(2*x - 1) + 93337977265/(2*x - 1)^2 + 95568773322/(2*x - 1)^3 + 1334161125)/(11/(2*x - 1) + 5)^2 - 117649/21296/(2*x - 1) - 333639/50000*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 17139/45753125*log(abs(-11/(2*x - 1) - 5))","A",0
1620,1,83,0,1.197755," ","integrate((2+3*x)^5/(1-2*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{{\left(2 \, x - 1\right)} {\left(\frac{391367530}{2 \, x - 1} + \frac{430519419}{{\left(2 \, x - 1\right)}^{2}} + 88944075\right)}}{14641000 \, {\left(\frac{11}{2 \, x - 1} + 5\right)}^{2}} - \frac{16807}{10648 \, {\left(2 \, x - 1\right)}} - \frac{1539}{1250} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{11562}{9150625} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"1/14641000*(2*x - 1)*(391367530/(2*x - 1) + 430519419/(2*x - 1)^2 + 88944075)/(11/(2*x - 1) + 5)^2 - 16807/10648/(2*x - 1) - 1539/1250*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 11562/9150625*log(abs(-11/(2*x - 1) - 5))","A",0
1621,1,69,0,1.132713," ","integrate((2+3*x)^4/(1-2*x)^2/(3+5*x)^3,x, algorithm=""giac"")","-\frac{2401}{5324 \, {\left(2 \, x - 1\right)}} + \frac{2 \, {\left(\frac{1518}{2 \, x - 1} + 685\right)}}{366025 \, {\left(\frac{11}{2 \, x - 1} + 5\right)}^{2}} - \frac{81}{500} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) + \frac{7074}{1830125} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-2401/5324/(2*x - 1) + 2/366025*(1518/(2*x - 1) + 685)/(11/(2*x - 1) + 5)^2 - 81/500*log(1/2*abs(2*x - 1)/(2*x - 1)^2) + 7074/1830125*log(abs(-11/(2*x - 1) - 5))","A",0
1622,1,51,0,1.204905," ","integrate((2+3*x)^3/(1-2*x)^2/(3+5*x)^3,x, algorithm=""giac"")","-\frac{343}{2662 \, {\left(2 \, x - 1\right)}} + \frac{2 \, {\left(\frac{231}{2 \, x - 1} + 104\right)}}{14641 \, {\left(\frac{11}{2 \, x - 1} + 5\right)}^{2}} + \frac{147}{14641} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-343/2662/(2*x - 1) + 2/14641*(231/(2*x - 1) + 104)/(11/(2*x - 1) + 5)^2 + 147/14641*log(abs(-11/(2*x - 1) - 5))","A",0
1623,1,51,0,1.245721," ","integrate((2+3*x)^2/(1-2*x)^2/(3+5*x)^3,x, algorithm=""giac"")","-\frac{49}{1331 \, {\left(2 \, x - 1\right)}} + \frac{2 \, {\left(\frac{792}{2 \, x - 1} + 355\right)}}{14641 \, {\left(\frac{11}{2 \, x - 1} + 5\right)}^{2}} + \frac{273}{14641} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-49/1331/(2*x - 1) + 2/14641*(792/(2*x - 1) + 355)/(11/(2*x - 1) + 5)^2 + 273/14641*log(abs(-11/(2*x - 1) - 5))","A",0
1624,1,51,0,1.148268," ","integrate((2+3*x)/(1-2*x)^2/(3+5*x)^3,x, algorithm=""giac"")","-\frac{14}{1331 \, {\left(2 \, x - 1\right)}} + \frac{10 \, {\left(\frac{429}{2 \, x - 1} + 190\right)}}{14641 \, {\left(\frac{11}{2 \, x - 1} + 5\right)}^{2}} + \frac{144}{14641} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-14/1331/(2*x - 1) + 10/14641*(429/(2*x - 1) + 190)/(11/(2*x - 1) + 5)^2 + 144/14641*log(abs(-11/(2*x - 1) - 5))","A",0
1625,1,51,0,1.182380," ","integrate(1/(1-2*x)^2/(3+5*x)^3,x, algorithm=""giac"")","-\frac{4}{1331 \, {\left(2 \, x - 1\right)}} + \frac{50 \, {\left(\frac{66}{2 \, x - 1} + 25\right)}}{14641 \, {\left(\frac{11}{2 \, x - 1} + 5\right)}^{2}} + \frac{60}{14641} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-4/1331/(2*x - 1) + 50/14641*(66/(2*x - 1) + 25)/(11/(2*x - 1) + 5)^2 + 60/14641*log(abs(-11/(2*x - 1) - 5))","A",0
1626,1,66,0,1.276181," ","integrate(1/(1-2*x)^2/(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{8}{9317 \, {\left(2 \, x - 1\right)}} - \frac{250 \, {\left(\frac{297}{2 \, x - 1} + 140\right)}}{14641 \, {\left(\frac{11}{2 \, x - 1} + 5\right)}^{2}} - \frac{81}{49} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right) + \frac{24225}{14641} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-8/9317/(2*x - 1) - 250/14641*(297/(2*x - 1) + 140)/(11/(2*x - 1) + 5)^2 - 81/49*log(abs(-7/(2*x - 1) - 3)) + 24225/14641*log(abs(-11/(2*x - 1) - 5))","A",0
1627,1,86,0,1.202044," ","integrate(1/(1-2*x)^2/(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{81}{49 \, {\left(3 \, x + 2\right)}} + \frac{27 \, {\left(\frac{139939165}{3 \, x + 2} - \frac{31679854}{{\left(3 \, x + 2\right)}^{2}} - 37396350\right)}}{913066 \, {\left(\frac{7}{3 \, x + 2} - 2\right)} {\left(\frac{1}{3 \, x + 2} - 5\right)}^{2}} + \frac{376875}{14641} \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right) - \frac{2736}{5021863} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"81/49/(3*x + 2) + 27/913066*(139939165/(3*x + 2) - 31679854/(3*x + 2)^2 - 37396350)/((7/(3*x + 2) - 2)*(1/(3*x + 2) - 5)^2) + 376875/14641*log(abs(-1/(3*x + 2) + 5)) - 2736/5021863*log(abs(-7/(3*x + 2) + 2))","A",0
1628,1,97,0,1.181609," ","integrate(1/(1-2*x)^2/(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{32}{456533 \, {\left(2 \, x - 1\right)}} - \frac{4 \, {\left(\frac{207724651275}{2 \, x - 1} + \frac{470659858850}{{\left(2 \, x - 1\right)}^{2}} + \frac{355299675423}{{\left(2 \, x - 1\right)}^{3}} + 30544881750\right)}}{35153041 \, {\left(\frac{11}{2 \, x - 1} + 5\right)}^{2} {\left(\frac{7}{2 \, x - 1} + 3\right)}^{2}} - \frac{630342}{2401} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right) + \frac{3843750}{14641} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-32/456533/(2*x - 1) - 4/35153041*(207724651275/(2*x - 1) + 470659858850/(2*x - 1)^2 + 355299675423/(2*x - 1)^3 + 30544881750)/((11/(2*x - 1) + 5)^2*(7/(2*x - 1) + 3)^2) - 630342/2401*log(abs(-7/(2*x - 1) - 3)) + 3843750/14641*log(abs(-11/(2*x - 1) - 5))","A",0
1629,1,106,0,1.176817," ","integrate(1/(1-2*x)^2/(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","-\frac{64}{3195731 \, {\left(2 \, x - 1\right)}} - \frac{4 \, {\left(\frac{49415890344165}{2 \, x - 1} + \frac{169212487575969}{{\left(2 \, x - 1\right)}^{2}} + \frac{257446971133345}{{\left(2 \, x - 1\right)}^{3}} + \frac{146840081089779}{{\left(2 \, x - 1\right)}^{4}} + 5410112162850\right)}}{246071287 \, {\left(\frac{11}{2 \, x - 1} + 5\right)}^{2} {\left(\frac{7}{2 \, x - 1} + 3\right)}^{3}} - \frac{37214802}{16807} \, \log\left({\left| -\frac{7}{2 \, x - 1} - 3 \right|}\right) + \frac{32418750}{14641} \, \log\left({\left| -\frac{11}{2 \, x - 1} - 5 \right|}\right)"," ",0,"-64/3195731/(2*x - 1) - 4/246071287*(49415890344165/(2*x - 1) + 169212487575969/(2*x - 1)^2 + 257446971133345/(2*x - 1)^3 + 146840081089779/(2*x - 1)^4 + 5410112162850)/((11/(2*x - 1) + 5)^2*(7/(2*x - 1) + 3)^3) - 37214802/16807*log(abs(-7/(2*x - 1) - 3)) + 32418750/14641*log(abs(-11/(2*x - 1) - 5))","A",0
1630,1,57,0,1.268839," ","integrate((2+3*x)^8*(3+5*x)/(1-2*x)^3,x, algorithm=""giac"")","-\frac{32805}{56} \, x^{7} - \frac{162567}{32} \, x^{6} - \frac{213597}{10} \, x^{5} - \frac{7568235}{128} \, x^{4} - \frac{16042509}{128} \, x^{3} - \frac{118841283}{512} \, x^{2} - \frac{120864213}{256} \, x + \frac{823543 \, {\left(1196 \, x - 521\right)}}{2048 \, {\left(2 \, x - 1\right)}^{2}} - \frac{106237047}{256} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-32805/56*x^7 - 162567/32*x^6 - 213597/10*x^5 - 7568235/128*x^4 - 16042509/128*x^3 - 118841283/512*x^2 - 120864213/256*x + 823543/2048*(1196*x - 521)/(2*x - 1)^2 - 106237047/256*log(abs(2*x - 1))","A",0
1631,1,52,0,1.111737," ","integrate((2+3*x)^7*(3+5*x)/(1-2*x)^3,x, algorithm=""giac"")","-\frac{3645}{16} \, x^{6} - \frac{147987}{80} \, x^{5} - \frac{235467}{32} \, x^{4} - \frac{631611}{32} \, x^{3} - \frac{10989621}{256} \, x^{2} - \frac{24960933}{256} \, x + \frac{823543 \, {\left(152 \, x - 65\right)}}{1024 \, {\left(2 \, x - 1\right)}^{2}} - \frac{23647449}{256} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-3645/16*x^6 - 147987/80*x^5 - 235467/32*x^4 - 631611/32*x^3 - 10989621/256*x^2 - 24960933/256*x + 823543/1024*(152*x - 65)/(2*x - 1)^2 - 23647449/256*log(abs(2*x - 1))","A",0
1632,1,47,0,1.158638," ","integrate((2+3*x)^6*(3+5*x)/(1-2*x)^3,x, algorithm=""giac"")","-\frac{729}{8} \, x^{5} - \frac{44469}{64} \, x^{4} - \frac{10611}{4} \, x^{3} - \frac{461835}{64} \, x^{2} - \frac{2431647}{128} \, x + \frac{16807 \, {\left(932 \, x - 389\right)}}{512 \, {\left(2 \, x - 1\right)}^{2}} - \frac{5078115}{256} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-729/8*x^5 - 44469/64*x^4 - 10611/4*x^3 - 461835/64*x^2 - 2431647/128*x + 16807/512*(932*x - 389)/(2*x - 1)^2 - 5078115/256*log(abs(2*x - 1))","A",0
1633,1,42,0,1.183339," ","integrate((2+3*x)^5*(3+5*x)/(1-2*x)^3,x, algorithm=""giac"")","-\frac{1215}{32} \, x^{4} - \frac{4401}{16} \, x^{3} - \frac{16821}{16} \, x^{2} - \frac{109089}{32} \, x + \frac{2401 \, {\left(800 \, x - 323\right)}}{256 \, {\left(2 \, x - 1\right)}^{2}} - \frac{519645}{128} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1215/32*x^4 - 4401/16*x^3 - 16821/16*x^2 - 109089/32*x + 2401/256*(800*x - 323)/(2*x - 1)^2 - 519645/128*log(abs(2*x - 1))","A",0
1634,1,37,0,1.176116," ","integrate((2+3*x)^4*(3+5*x)/(1-2*x)^3,x, algorithm=""giac"")","-\frac{135}{8} \, x^{3} - \frac{3861}{32} \, x^{2} - 540 \, x + \frac{343 \, {\left(668 \, x - 257\right)}}{128 \, {\left(2 \, x - 1\right)}^{2}} - \frac{24843}{32} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-135/8*x^3 - 3861/32*x^2 - 540*x + 343/128*(668*x - 257)/(2*x - 1)^2 - 24843/32*log(abs(2*x - 1))","A",0
1635,1,32,0,1.206356," ","integrate((2+3*x)^3*(3+5*x)/(1-2*x)^3,x, algorithm=""giac"")","-\frac{135}{16} \, x^{2} - \frac{1107}{16} \, x + \frac{49 \, {\left(536 \, x - 191\right)}}{64 \, {\left(2 \, x - 1\right)}^{2}} - \frac{1071}{8} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-135/16*x^2 - 1107/16*x + 49/64*(536*x - 191)/(2*x - 1)^2 - 1071/8*log(abs(2*x - 1))","A",0
1636,1,27,0,1.217562," ","integrate((2+3*x)^2*(3+5*x)/(1-2*x)^3,x, algorithm=""giac"")","-\frac{45}{8} \, x + \frac{7 \, {\left(404 \, x - 125\right)}}{32 \, {\left(2 \, x - 1\right)}^{2}} - \frac{309}{16} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-45/8*x + 7/32*(404*x - 125)/(2*x - 1)^2 - 309/16*log(abs(2*x - 1))","A",0
1637,1,24,0,1.166162," ","integrate((2+3*x)*(3+5*x)/(1-2*x)^3,x, algorithm=""giac"")","\frac{272 \, x - 59}{16 \, {\left(2 \, x - 1\right)}^{2}} - \frac{15}{8} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/16*(272*x - 59)/(2*x - 1)^2 - 15/8*log(abs(2*x - 1))","A",0
1638,1,14,0,1.118454," ","integrate((3+5*x)/(1-2*x)^3,x, algorithm=""giac"")","\frac{20 \, x + 1}{8 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"1/8*(20*x + 1)/(2*x - 1)^2","A",0
1639,1,33,0,1.195550," ","integrate((3+5*x)/(1-2*x)^3/(2+3*x),x, algorithm=""giac"")","\frac{8 \, x + 73}{196 \, {\left(2 \, x - 1\right)}^{2}} - \frac{3}{343} \, \log\left({\left| 3 \, x + 2 \right|}\right) + \frac{3}{343} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/196*(8*x + 73)/(2*x - 1)^2 - 3/343*log(abs(3*x + 2)) + 3/343*log(abs(2*x - 1))","A",0
1640,1,51,0,1.181269," ","integrate((3+5*x)/(1-2*x)^3/(2+3*x)^2,x, algorithm=""giac"")","\frac{3}{343 \, {\left(3 \, x + 2\right)}} + \frac{6 \, {\left(\frac{448}{3 \, x + 2} - 95\right)}}{2401 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}^{2}} - \frac{87}{2401} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"3/343/(3*x + 2) + 6/2401*(448/(3*x + 2) - 95)/(7/(3*x + 2) - 2)^2 - 87/2401*log(abs(-7/(3*x + 2) + 2))","A",0
1641,1,46,0,1.254687," ","integrate((3+5*x)/(1-2*x)^3/(2+3*x)^3,x, algorithm=""giac"")","-\frac{6696 \, x^{3} + 1674 \, x^{2} - 3658 \, x - 1313}{4802 \, {\left(6 \, x^{2} + x - 2\right)}^{2}} + \frac{558}{16807} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{558}{16807} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/4802*(6696*x^3 + 1674*x^2 - 3658*x - 1313)/(6*x^2 + x - 2)^2 + 558/16807*log(abs(3*x + 2)) - 558/16807*log(abs(2*x - 1))","A",0
1642,1,55,0,1.275857," ","integrate((3+5*x)/(1-2*x)^3/(2+3*x)^4,x, algorithm=""giac"")","-\frac{82080 \, x^{4} + 75240 \, x^{3} - 31160 \, x^{2} - 33725 \, x - 3088}{33614 \, {\left(3 \, x + 2\right)}^{3} {\left(2 \, x - 1\right)}^{2}} + \frac{2280}{117649} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{2280}{117649} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/33614*(82080*x^4 + 75240*x^3 - 31160*x^2 - 33725*x - 3088)/((3*x + 2)^3*(2*x - 1)^2) + 2280/117649*log(abs(3*x + 2)) - 2280/117649*log(abs(2*x - 1))","A",0
1643,1,78,0,1.198737," ","integrate((3+5*x)/(1-2*x)^3/(2+3*x)^5,x, algorithm=""giac"")","-\frac{2280}{117649 \, {\left(3 \, x + 2\right)}} + \frac{48 \, {\left(\frac{1141}{3 \, x + 2} - 293\right)}}{823543 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}^{2}} - \frac{279}{16807 \, {\left(3 \, x + 2\right)}^{2}} - \frac{29}{2401 \, {\left(3 \, x + 2\right)}^{3}} + \frac{3}{1372 \, {\left(3 \, x + 2\right)}^{4}} - \frac{7680}{823543} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"-2280/117649/(3*x + 2) + 48/823543*(1141/(3*x + 2) - 293)/(7/(3*x + 2) - 2)^2 - 279/16807/(3*x + 2)^2 - 29/2401/(3*x + 2)^3 + 3/1372/(3*x + 2)^4 - 7680/823543*log(abs(-7/(3*x + 2) + 2))","A",0
1644,1,65,0,1.200606," ","integrate((3+5*x)/(1-2*x)^3/(2+3*x)^6,x, algorithm=""giac"")","-\frac{10730880 \, x^{6} + 24144480 \, x^{5} + 13811040 \, x^{4} - 5468940 \, x^{3} - 7360644 \, x^{2} - 1134751 \, x + 381394}{2352980 \, {\left(3 \, x + 2\right)}^{5} {\left(2 \, x - 1\right)}^{2}} + \frac{3312}{823543} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{3312}{823543} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/2352980*(10730880*x^6 + 24144480*x^5 + 13811040*x^4 - 5468940*x^3 - 7360644*x^2 - 1134751*x + 381394)/((3*x + 2)^5*(2*x - 1)^2) + 3312/823543*log(abs(3*x + 2)) - 3312/823543*log(abs(2*x - 1))","A",0
1645,1,57,0,1.221385," ","integrate((2+3*x)^7*(3+5*x)^2/(1-2*x)^3,x, algorithm=""giac"")","-\frac{54675}{56} \, x^{7} - \frac{268515}{32} \, x^{6} - \frac{2798631}{80} \, x^{5} - \frac{12299769}{128} \, x^{4} - \frac{25895367}{128} \, x^{3} - \frac{190742391}{512} \, x^{2} - \frac{48280011}{64} \, x + \frac{9058973 \, {\left(172 \, x - 75\right)}}{2048 \, {\left(2 \, x - 1\right)}^{2}} - \frac{84589631}{128} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-54675/56*x^7 - 268515/32*x^6 - 2798631/80*x^5 - 12299769/128*x^4 - 25895367/128*x^3 - 190742391/512*x^2 - 48280011/64*x + 9058973/2048*(172*x - 75)/(2*x - 1)^2 - 84589631/128*log(abs(2*x - 1))","A",0
1646,1,52,0,1.169679," ","integrate((2+3*x)^6*(3+5*x)^2/(1-2*x)^3,x, algorithm=""giac"")","-\frac{6075}{16} \, x^{6} - \frac{48843}{16} \, x^{5} - \frac{770067}{64} \, x^{4} - \frac{1024389}{32} \, x^{3} - \frac{17700255}{256} \, x^{2} - \frac{39980457}{256} \, x + \frac{184877 \, {\left(1072 \, x - 459\right)}}{1024 \, {\left(2 \, x - 1\right)}^{2}} - \frac{18859855}{128} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-6075/16*x^6 - 48843/16*x^5 - 770067/64*x^4 - 1024389/32*x^3 - 17700255/256*x^2 - 39980457/256*x + 184877/1024*(1072*x - 459)/(2*x - 1)^2 - 18859855/128*log(abs(2*x - 1))","A",0
1647,1,47,0,1.165313," ","integrate((2+3*x)^5*(3+5*x)^2/(1-2*x)^3,x, algorithm=""giac"")","-\frac{1215}{8} \, x^{5} - \frac{73305}{64} \, x^{4} - \frac{69273}{16} \, x^{3} - \frac{747297}{64} \, x^{2} - \frac{3907293}{128} \, x + \frac{26411 \, {\left(940 \, x - 393\right)}}{512 \, {\left(2 \, x - 1\right)}^{2}} - \frac{8117095}{256} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1215/8*x^5 - 73305/64*x^4 - 69273/16*x^3 - 747297/64*x^2 - 3907293/128*x + 26411/512*(940*x - 393)/(2*x - 1)^2 - 8117095/256*log(abs(2*x - 1))","A",0
1648,1,42,0,1.307194," ","integrate((2+3*x)^4*(3+5*x)^2/(1-2*x)^3,x, algorithm=""giac"")","-\frac{2025}{32} \, x^{4} - \frac{7245}{16} \, x^{3} - \frac{54783}{32} \, x^{2} - \frac{176055}{32} \, x + \frac{3773 \, {\left(808 \, x - 327\right)}}{256 \, {\left(2 \, x - 1\right)}^{2}} - \frac{832951}{128} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-2025/32*x^4 - 7245/16*x^3 - 54783/32*x^2 - 176055/32*x + 3773/256*(808*x - 327)/(2*x - 1)^2 - 832951/128*log(abs(2*x - 1))","A",0
1649,1,37,0,1.174871," ","integrate((2+3*x)^3*(3+5*x)^2/(1-2*x)^3,x, algorithm=""giac"")","-\frac{225}{8} \, x^{3} - \frac{6345}{32} \, x^{2} - \frac{14031}{16} \, x + \frac{539 \, {\left(676 \, x - 261\right)}}{128 \, {\left(2 \, x - 1\right)}^{2}} - \frac{39977}{32} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-225/8*x^3 - 6345/32*x^2 - 14031/16*x + 539/128*(676*x - 261)/(2*x - 1)^2 - 39977/32*log(abs(2*x - 1))","A",0
1650,1,32,0,1.148490," ","integrate((2+3*x)^2*(3+5*x)^2/(1-2*x)^3,x, algorithm=""giac"")","-\frac{225}{16} \, x^{2} - \frac{1815}{16} \, x + \frac{77 \, {\left(544 \, x - 195\right)}}{64 \, {\left(2 \, x - 1\right)}^{2}} - \frac{3467}{16} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-225/16*x^2 - 1815/16*x + 77/64*(544*x - 195)/(2*x - 1)^2 - 3467/16*log(abs(2*x - 1))","A",0
1651,1,27,0,1.156051," ","integrate((2+3*x)*(3+5*x)^2/(1-2*x)^3,x, algorithm=""giac"")","-\frac{75}{8} \, x + \frac{11 \, {\left(412 \, x - 129\right)}}{32 \, {\left(2 \, x - 1\right)}^{2}} - \frac{505}{16} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-75/8*x + 11/32*(412*x - 129)/(2*x - 1)^2 - 505/16*log(abs(2*x - 1))","A",0
1652,1,24,0,1.166319," ","integrate((3+5*x)^2/(1-2*x)^3,x, algorithm=""giac"")","\frac{11 \, {\left(40 \, x - 9\right)}}{16 \, {\left(2 \, x - 1\right)}^{2}} - \frac{25}{8} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"11/16*(40*x - 9)/(2*x - 1)^2 - 25/8*log(abs(2*x - 1))","A",0
1653,1,33,0,1.191797," ","integrate((3+5*x)^2/(1-2*x)^3/(2+3*x),x, algorithm=""giac"")","\frac{11 \, {\left(148 \, x + 3\right)}}{392 \, {\left(2 \, x - 1\right)}^{2}} + \frac{1}{343} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{1}{343} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"11/392*(148*x + 3)/(2*x - 1)^2 + 1/343*log(abs(3*x + 2)) - 1/343*log(abs(2*x - 1))","A",0
1654,1,51,0,1.102626," ","integrate((3+5*x)^2/(1-2*x)^3/(2+3*x)^2,x, algorithm=""giac"")","-\frac{1}{343 \, {\left(3 \, x + 2\right)}} + \frac{33 \, {\left(\frac{203}{3 \, x + 2} - 25\right)}}{2401 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}^{2}} + \frac{64}{2401} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"-1/343/(3*x + 2) + 33/2401*(203/(3*x + 2) - 25)/(7/(3*x + 2) - 2)^2 + 64/2401*log(abs(-7/(3*x + 2) + 2))","A",0
1655,1,46,0,1.272291," ","integrate((3+5*x)^2/(1-2*x)^3/(2+3*x)^3,x, algorithm=""giac"")","-\frac{9948 \, x^{3} + 2487 \, x^{2} - 12104 \, x - 6189}{4802 \, {\left(6 \, x^{2} + x - 2\right)}^{2}} + \frac{829}{16807} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{829}{16807} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/4802*(9948*x^3 + 2487*x^2 - 12104*x - 6189)/(6*x^2 + x - 2)^2 + 829/16807*log(abs(3*x + 2)) - 829/16807*log(abs(2*x - 1))","A",0
1656,1,55,0,1.223614," ","integrate((3+5*x)^2/(1-2*x)^3/(2+3*x)^4,x, algorithm=""giac"")","-\frac{310500 \, x^{4} + 284625 \, x^{3} - 117875 \, x^{2} - 180100 \, x - 44411}{50421 \, {\left(3 \, x + 2\right)}^{3} {\left(2 \, x - 1\right)}^{2}} + \frac{5750}{117649} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{5750}{117649} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/50421*(310500*x^4 + 284625*x^3 - 117875*x^2 - 180100*x - 44411)/((3*x + 2)^3*(2*x - 1)^2) + 5750/117649*log(abs(3*x + 2)) - 5750/117649*log(abs(2*x - 1))","A",0
1657,1,78,0,1.211631," ","integrate((3+5*x)^2/(1-2*x)^3/(2+3*x)^5,x, algorithm=""giac"")","-\frac{5750}{117649 \, {\left(3 \, x + 2\right)}} + \frac{264 \, {\left(\frac{896}{3 \, x + 2} - 223\right)}}{823543 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}^{2}} - \frac{829}{33614 \, {\left(3 \, x + 2\right)}^{2}} + \frac{64}{7203 \, {\left(3 \, x + 2\right)}^{3}} - \frac{1}{1372 \, {\left(3 \, x + 2\right)}^{4}} - \frac{24040}{823543} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"-5750/117649/(3*x + 2) + 264/823543*(896/(3*x + 2) - 223)/(7/(3*x + 2) - 2)^2 - 829/33614/(3*x + 2)^2 + 64/7203/(3*x + 2)^3 - 1/1372/(3*x + 2)^4 - 24040/823543*log(abs(-7/(3*x + 2) + 2))","A",0
1658,1,65,0,1.184590," ","integrate((3+5*x)^2/(1-2*x)^3/(2+3*x)^6,x, algorithm=""giac"")","-\frac{28421280 \, x^{6} + 63947880 \, x^{5} + 36579240 \, x^{4} - 14484765 \, x^{3} - 19495039 \, x^{2} - 4230956 \, x + 258089}{1764735 \, {\left(3 \, x + 2\right)}^{5} {\left(2 \, x - 1\right)}^{2}} + \frac{11696}{823543} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{11696}{823543} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/1764735*(28421280*x^6 + 63947880*x^5 + 36579240*x^4 - 14484765*x^3 - 19495039*x^2 - 4230956*x + 258089)/((3*x + 2)^5*(2*x - 1)^2) + 11696/823543*log(abs(3*x + 2)) - 11696/823543*log(abs(2*x - 1))","A",0
1659,1,57,0,1.085121," ","integrate((2+3*x)^6*(3+5*x)^3/(1-2*x)^3,x, algorithm=""giac"")","-\frac{91125}{56} \, x^{7} - \frac{443475}{32} \, x^{6} - \frac{229149}{4} \, x^{5} - \frac{19986237}{128} \, x^{4} - \frac{41793093}{128} \, x^{3} - \frac{306103815}{512} \, x^{2} - \frac{308539921}{256} \, x + \frac{2033647 \, {\left(1212 \, x - 529\right)}}{2048 \, {\left(2 \, x - 1\right)}^{2}} - \frac{33674025}{32} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-91125/56*x^7 - 443475/32*x^6 - 229149/4*x^5 - 19986237/128*x^4 - 41793093/128*x^3 - 306103815/512*x^2 - 308539921/256*x + 2033647/2048*(1212*x - 529)/(2*x - 1)^2 - 33674025/32*log(abs(2*x - 1))","A",0
1660,1,52,0,1.156343," ","integrate((2+3*x)^5*(3+5*x)^3/(1-2*x)^3,x, algorithm=""giac"")","-\frac{10125}{16} \, x^{6} - \frac{80595}{16} \, x^{5} - \frac{629505}{32} \, x^{4} - \frac{1661133}{32} \, x^{3} - \frac{28504029}{256} \, x^{2} - \frac{64029233}{256} \, x + \frac{290521 \, {\left(1080 \, x - 463\right)}}{1024 \, {\left(2 \, x - 1\right)}^{2}} - \frac{60160485}{256} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-10125/16*x^6 - 80595/16*x^5 - 629505/32*x^4 - 1661133/32*x^3 - 28504029/256*x^2 - 64029233/256*x + 290521/1024*(1080*x - 463)/(2*x - 1)^2 - 60160485/256*log(abs(2*x - 1))","A",0
1661,1,47,0,1.279304," ","integrate((2+3*x)^4*(3+5*x)^3/(1-2*x)^3,x, algorithm=""giac"")","-\frac{2025}{8} \, x^{5} - \frac{120825}{64} \, x^{4} - 7065 \, x^{3} - \frac{1208973}{64} \, x^{2} - \frac{6277415}{128} \, x + \frac{41503 \, {\left(948 \, x - 397\right)}}{512 \, {\left(2 \, x - 1\right)}^{2}} - \frac{12973191}{256} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-2025/8*x^5 - 120825/64*x^4 - 7065*x^3 - 1208973/64*x^2 - 6277415/128*x + 41503/512*(948*x - 397)/(2*x - 1)^2 - 12973191/256*log(abs(2*x - 1))","A",0
1662,1,42,0,1.209443," ","integrate((2+3*x)^3*(3+5*x)^3/(1-2*x)^3,x, algorithm=""giac"")","-\frac{3375}{32} \, x^{4} - \frac{11925}{16} \, x^{3} - \frac{44595}{16} \, x^{2} - \frac{284071}{32} \, x + \frac{5929 \, {\left(816 \, x - 331\right)}}{256 \, {\left(2 \, x - 1\right)}^{2}} - \frac{1334949}{128} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-3375/32*x^4 - 11925/16*x^3 - 44595/16*x^2 - 284071/32*x + 5929/256*(816*x - 331)/(2*x - 1)^2 - 1334949/128*log(abs(2*x - 1))","A",0
1663,1,37,0,1.250347," ","integrate((2+3*x)^2*(3+5*x)^3/(1-2*x)^3,x, algorithm=""giac"")","-\frac{375}{8} \, x^{3} - \frac{10425}{32} \, x^{2} - \frac{5695}{4} \, x + \frac{847 \, {\left(684 \, x - 265\right)}}{128 \, {\left(2 \, x - 1\right)}^{2}} - \frac{64317}{32} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-375/8*x^3 - 10425/32*x^2 - 5695/4*x + 847/128*(684*x - 265)/(2*x - 1)^2 - 64317/32*log(abs(2*x - 1))","A",0
1664,1,32,0,1.205801," ","integrate((2+3*x)*(3+5*x)^3/(1-2*x)^3,x, algorithm=""giac"")","-\frac{375}{16} \, x^{2} - \frac{2975}{16} \, x + \frac{121 \, {\left(552 \, x - 199\right)}}{64 \, {\left(2 \, x - 1\right)}^{2}} - \frac{2805}{8} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-375/16*x^2 - 2975/16*x + 121/64*(552*x - 199)/(2*x - 1)^2 - 2805/8*log(abs(2*x - 1))","A",0
1665,1,27,0,1.238526," ","integrate((3+5*x)^3/(1-2*x)^3,x, algorithm=""giac"")","-\frac{125}{8} \, x + \frac{121 \, {\left(60 \, x - 19\right)}}{32 \, {\left(2 \, x - 1\right)}^{2}} - \frac{825}{16} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-125/8*x + 121/32*(60*x - 19)/(2*x - 1)^2 - 825/16*log(abs(2*x - 1))","A",0
1666,1,33,0,1.190391," ","integrate((3+5*x)^3/(1-2*x)^3/(2+3*x),x, algorithm=""giac"")","\frac{121 \, {\left(288 \, x - 67\right)}}{784 \, {\left(2 \, x - 1\right)}^{2}} - \frac{1}{1029} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{14289}{2744} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"121/784*(288*x - 67)/(2*x - 1)^2 - 1/1029*log(abs(3*x + 2)) - 14289/2744*log(abs(2*x - 1))","A",0
1667,1,51,0,1.202961," ","integrate((3+5*x)^3/(1-2*x)^3/(2+3*x)^2,x, algorithm=""giac"")","\frac{1}{1029 \, {\left(3 \, x + 2\right)}} - \frac{1089 \, {\left(\frac{14}{3 \, x + 2} - 15\right)}}{4802 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}^{2}} - \frac{33}{2401} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"1/1029/(3*x + 2) - 1089/4802*(14/(3*x + 2) - 15)/(7/(3*x + 2) - 2)^2 - 33/2401*log(abs(-7/(3*x + 2) + 2))","A",0
1668,1,46,0,1.181060," ","integrate((3+5*x)^3/(1-2*x)^3/(2+3*x)^3,x, algorithm=""giac"")","\frac{73656 \, x^{3} + 318539 \, x^{2} + 319912 \, x + 93602}{28812 \, {\left(6 \, x^{2} + x - 2\right)}^{2}} - \frac{1023}{16807} \, \log\left({\left| 3 \, x + 2 \right|}\right) + \frac{1023}{16807} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/28812*(73656*x^3 + 318539*x^2 + 319912*x + 93602)/(6*x^2 + x - 2)^2 - 1023/16807*log(abs(3*x + 2)) + 1023/16807*log(abs(2*x - 1))","A",0
1669,1,55,0,1.195171," ","integrate((3+5*x)^3/(1-2*x)^3/(2+3*x)^4,x, algorithm=""giac"")","-\frac{2512620 \, x^{4} + 2303235 \, x^{3} - 3054740 \, x^{2} - 4131175 \, x - 1210868}{302526 \, {\left(3 \, x + 2\right)}^{3} {\left(2 \, x - 1\right)}^{2}} + \frac{7755}{117649} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{7755}{117649} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/302526*(2512620*x^4 + 2303235*x^3 - 3054740*x^2 - 4131175*x - 1210868)/((3*x + 2)^3*(2*x - 1)^2) + 7755/117649*log(abs(3*x + 2)) - 7755/117649*log(abs(2*x - 1))","A",0
1670,1,78,0,1.206548," ","integrate((3+5*x)^3/(1-2*x)^3/(2+3*x)^5,x, algorithm=""giac"")","-\frac{7755}{117649 \, {\left(3 \, x + 2\right)}} + \frac{4356 \, {\left(\frac{217}{3 \, x + 2} - 51\right)}}{823543 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}^{2}} + \frac{1023}{33614 \, {\left(3 \, x + 2\right)}^{2}} - \frac{11}{2401 \, {\left(3 \, x + 2\right)}^{3}} + \frac{1}{4116 \, {\left(3 \, x + 2\right)}^{4}} - \frac{59070}{823543} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"-7755/117649/(3*x + 2) + 4356/823543*(217/(3*x + 2) - 51)/(7/(3*x + 2) - 2)^2 + 1023/33614/(3*x + 2)^2 - 11/2401/(3*x + 2)^3 + 1/4116/(3*x + 2)^4 - 59070/823543*log(abs(-7/(3*x + 2) + 2))","A",0
1671,1,56,0,1.134956," ","integrate((2+3*x)^8/(1-2*x)^3/(3+5*x),x, algorithm=""giac"")","-\frac{6561}{200} \, x^{5} - \frac{408969}{1600} \, x^{4} - \frac{124416}{125} \, x^{3} - \frac{110180817}{40000} \, x^{2} - \frac{2941619571}{400000} \, x + \frac{823543 \, {\left(916 \, x - 381\right)}}{61952 \, {\left(2 \, x - 1\right)}^{2}} + \frac{1}{20796875} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{2644396573}{340736} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-6561/200*x^5 - 408969/1600*x^4 - 124416/125*x^3 - 110180817/40000*x^2 - 2941619571/400000*x + 823543/61952*(916*x - 381)/(2*x - 1)^2 + 1/20796875*log(abs(5*x + 3)) - 2644396573/340736*log(abs(2*x - 1))","A",0
1672,1,51,0,1.172814," ","integrate((2+3*x)^7/(1-2*x)^3/(3+5*x),x, algorithm=""giac"")","-\frac{2187}{160} \, x^{4} - \frac{40581}{400} \, x^{3} - \frac{792423}{2000} \, x^{2} - \frac{26161299}{20000} \, x + \frac{823543 \, {\left(112 \, x - 45\right)}}{30976 \, {\left(2 \, x - 1\right)}^{2}} + \frac{1}{4159375} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{269063263}{170368} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-2187/160*x^4 - 40581/400*x^3 - 792423/2000*x^2 - 26161299/20000*x + 823543/30976*(112*x - 45)/(2*x - 1)^2 + 1/4159375*log(abs(5*x + 3)) - 269063263/170368*log(abs(2*x - 1))","A",0
1673,1,46,0,1.166170," ","integrate((2+3*x)^6/(1-2*x)^3/(3+5*x),x, algorithm=""giac"")","-\frac{243}{40} \, x^{3} - \frac{35721}{800} \, x^{2} - \frac{102303}{500} \, x + \frac{16807 \, {\left(652 \, x - 249\right)}}{15488 \, {\left(2 \, x - 1\right)}^{2}} + \frac{1}{831875} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{12761315}{42592} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-243/40*x^3 - 35721/800*x^2 - 102303/500*x + 16807/15488*(652*x - 249)/(2*x - 1)^2 + 1/831875*log(abs(5*x + 3)) - 12761315/42592*log(abs(2*x - 1))","A",0
1674,1,41,0,1.203847," ","integrate((2+3*x)^5/(1-2*x)^3/(3+5*x),x, algorithm=""giac"")","-\frac{243}{80} \, x^{2} - \frac{10287}{400} \, x + \frac{2401 \, {\left(520 \, x - 183\right)}}{7744 \, {\left(2 \, x - 1\right)}^{2}} + \frac{1}{166375} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{543655}{10648} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-243/80*x^2 - 10287/400*x + 2401/7744*(520*x - 183)/(2*x - 1)^2 + 1/166375*log(abs(5*x + 3)) - 543655/10648*log(abs(2*x - 1))","A",0
1675,1,36,0,1.158842," ","integrate((2+3*x)^4/(1-2*x)^3/(3+5*x),x, algorithm=""giac"")","-\frac{81}{40} \, x + \frac{343 \, {\left(388 \, x - 117\right)}}{3872 \, {\left(2 \, x - 1\right)}^{2}} + \frac{1}{33275} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{153811}{21296} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-81/40*x + 343/3872*(388*x - 117)/(2*x - 1)^2 + 1/33275*log(abs(5*x + 3)) - 153811/21296*log(abs(2*x - 1))","A",0
1676,1,33,0,1.145683," ","integrate((2+3*x)^3/(1-2*x)^3/(3+5*x),x, algorithm=""giac"")","\frac{49 \, {\left(256 \, x - 51\right)}}{1936 \, {\left(2 \, x - 1\right)}^{2}} + \frac{1}{6655} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{7189}{10648} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"49/1936*(256*x - 51)/(2*x - 1)^2 + 1/6655*log(abs(5*x + 3)) - 7189/10648*log(abs(2*x - 1))","A",0
1677,1,33,0,1.132534," ","integrate((2+3*x)^2/(1-2*x)^3/(3+5*x),x, algorithm=""giac"")","\frac{7 \, {\left(124 \, x + 15\right)}}{968 \, {\left(2 \, x - 1\right)}^{2}} + \frac{1}{1331} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{1}{1331} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"7/968*(124*x + 15)/(2*x - 1)^2 + 1/1331*log(abs(5*x + 3)) - 1/1331*log(abs(2*x - 1))","A",0
1678,1,33,0,1.173423," ","integrate((2+3*x)/(1-2*x)^3/(3+5*x),x, algorithm=""giac"")","-\frac{8 \, x - 81}{484 \, {\left(2 \, x - 1\right)}^{2}} + \frac{5}{1331} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{5}{1331} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/484*(8*x - 81)/(2*x - 1)^2 + 5/1331*log(abs(5*x + 3)) - 5/1331*log(abs(2*x - 1))","A",0
1679,1,33,0,1.265675," ","integrate(1/(1-2*x)^3/(3+5*x),x, algorithm=""giac"")","-\frac{20 \, x - 21}{242 \, {\left(2 \, x - 1\right)}^{2}} + \frac{25}{1331} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{25}{1331} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/242*(20*x - 21)/(2*x - 1)^2 + 25/1331*log(abs(5*x + 3)) - 25/1331*log(abs(2*x - 1))","A",0
1680,1,42,0,1.151919," ","integrate(1/(1-2*x)^3/(2+3*x)/(3+5*x),x, algorithm=""giac"")","-\frac{272 \, x - 213}{5929 \, {\left(2 \, x - 1\right)}^{2}} + \frac{125}{1331} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{27}{343} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{6938}{456533} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/5929*(272*x - 213)/(2*x - 1)^2 + 125/1331*log(abs(5*x + 3)) - 27/343*log(abs(3*x + 2)) - 6938/456533*log(abs(2*x - 1))","A",0
1681,1,66,0,1.171652," ","integrate(1/(1-2*x)^3/(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{27}{343 \, {\left(3 \, x + 2\right)}} + \frac{24 \, {\left(\frac{938}{3 \, x + 2} - 235\right)}}{290521 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}^{2}} + \frac{625}{1331} \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right) - \frac{27208}{3195731} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"27/343/(3*x + 2) + 24/290521*(938/(3*x + 2) - 235)/(7/(3*x + 2) - 2)^2 + 625/1331*log(abs(-1/(3*x + 2) + 5)) - 27208/3195731*log(abs(-7/(3*x + 2) + 2))","A",0
1682,1,59,0,1.162311," ","integrate(1/(1-2*x)^3/(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","\frac{3176136 \, x^{3} - 1006716 \, x^{2} - 1414978 \, x + 569697}{581042 \, {\left(3 \, x + 2\right)}^{2} {\left(2 \, x - 1\right)}^{2}} + \frac{3125}{1331} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{39393}{16807} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{89792}{22370117} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/581042*(3176136*x^3 - 1006716*x^2 - 1414978*x + 569697)/((3*x + 2)^2*(2*x - 1)^2) + 3125/1331*log(abs(5*x + 3)) - 39393/16807*log(abs(3*x + 2)) - 89792/22370117*log(abs(2*x - 1))","A",0
1683,1,64,0,1.222206," ","integrate(1/(1-2*x)^3/(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","\frac{342903240 \, x^{4} + 125249220 \, x^{3} - 222614730 \, x^{2} - 43096225 \, x + 40167012}{4067294 \, {\left(3 \, x + 2\right)}^{3} {\left(2 \, x - 1\right)}^{2}} + \frac{15625}{1331} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{1380915}{117649} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{267760}{156590819} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/4067294*(342903240*x^4 + 125249220*x^3 - 222614730*x^2 - 43096225*x + 40167012)/((3*x + 2)^3*(2*x - 1)^2) + 15625/1331*log(abs(5*x + 3)) - 1380915/117649*log(abs(3*x + 2)) - 267760/156590819*log(abs(2*x - 1))","A",0
1684,1,112,0,1.241329," ","integrate((2+3*x)^8/(1-2*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{{\left(5 \, x + 3\right)}^{4} {\left(\frac{11185606872}{5 \, x + 3} + \frac{158583727962}{{\left(5 \, x + 3\right)}^{2}} + \frac{3495217526460}{{\left(5 \, x + 3\right)}^{3}} - \frac{86510680819405}{{\left(5 \, x + 3\right)}^{4}} + \frac{317205578854725}{{\left(5 \, x + 3\right)}^{5}} + 768476808\right)}}{14641000000 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2}} - \frac{1}{20796875 \, {\left(5 \, x + 3\right)}} + \frac{393919443}{400000} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{1845559863}{1874048} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/14641000000*(5*x + 3)^4*(11185606872/(5*x + 3) + 158583727962/(5*x + 3)^2 + 3495217526460/(5*x + 3)^3 - 86510680819405/(5*x + 3)^4 + 317205578854725/(5*x + 3)^5 + 768476808)/(11/(5*x + 3) - 2)^2 - 1/20796875/(5*x + 3) + 393919443/400000*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 1845559863/1874048*log(abs(-11/(5*x + 3) + 2))","A",0
1685,1,103,0,1.156509," ","integrate((2+3*x)^7/(1-2*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{{\left(5 \, x + 3\right)}^{3} {\left(\frac{1472913882}{5 \, x + 3} + \frac{33001809588}{{\left(5 \, x + 3\right)}^{2}} - \frac{817302548083}{{\left(5 \, x + 3\right)}^{3}} + \frac{2996736348771}{{\left(5 \, x + 3\right)}^{4}} + 85386312\right)}}{732050000 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2}} - \frac{1}{4159375 \, {\left(5 \, x + 3\right)}} + \frac{18607401}{100000} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{87177909}{468512} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/732050000*(5*x + 3)^3*(1472913882/(5*x + 3) + 33001809588/(5*x + 3)^2 - 817302548083/(5*x + 3)^3 + 2996736348771/(5*x + 3)^4 + 85386312)/(11/(5*x + 3) - 2)^2 - 1/4159375/(5*x + 3) + 18607401/100000*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 87177909/468512*log(abs(-11/(5*x + 3) + 2))","A",0
1686,1,94,0,1.199817," ","integrate((2+3*x)^6/(1-2*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{{\left(5 \, x + 3\right)}^{2} {\left(\frac{555011028}{5 \, x + 3} - \frac{13845990449}{{\left(5 \, x + 3\right)}^{2}} + \frac{50757096489}{{\left(5 \, x + 3\right)}^{3}} + 21346578\right)}}{73205000 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2}} - \frac{1}{831875 \, {\left(5 \, x + 3\right)}} + \frac{315171}{10000} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{7383075}{234256} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/73205000*(5*x + 3)^2*(555011028/(5*x + 3) - 13845990449/(5*x + 3)^2 + 50757096489/(5*x + 3)^3 + 21346578)/(11/(5*x + 3) - 2)^2 - 1/831875/(5*x + 3) + 315171/10000*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 7383075/234256*log(abs(-11/(5*x + 3) + 2))","A",0
1687,1,83,0,1.178222," ","integrate((2+3*x)^5/(1-2*x)^3/(3+5*x)^2,x, algorithm=""giac"")","\frac{{\left(5 \, x + 3\right)} {\left(\frac{389138447}{5 \, x + 3} - \frac{1420901823}{{\left(5 \, x + 3\right)}^{2}} - 14231052\right)}}{14641000 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2}} - \frac{1}{166375 \, {\left(5 \, x + 3\right)}} + \frac{8829}{2000} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{1034145}{234256} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"1/14641000*(5*x + 3)*(389138447/(5*x + 3) - 1420901823/(5*x + 3)^2 - 14231052)/(11/(5*x + 3) - 2)^2 - 1/166375/(5*x + 3) + 8829/2000*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 1034145/234256*log(abs(-11/(5*x + 3) + 2))","A",0
1688,1,69,0,1.171322," ","integrate((2+3*x)^4/(1-2*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{33275 \, {\left(5 \, x + 3\right)}} - \frac{1715 \, {\left(\frac{297}{5 \, x + 3} - 89\right)}}{58564 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2}} + \frac{81}{200} \, \log\left(\frac{{\left| 5 \, x + 3 \right|}}{5 \, {\left(5 \, x + 3\right)}^{2}}\right) - \frac{47481}{117128} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/33275/(5*x + 3) - 1715/58564*(297/(5*x + 3) - 89)/(11/(5*x + 3) - 2)^2 + 81/200*log(1/5*abs(5*x + 3)/(5*x + 3)^2) - 47481/117128*log(abs(-11/(5*x + 3) + 2))","A",0
1689,1,51,0,1.206582," ","integrate((2+3*x)^3/(1-2*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{6655 \, {\left(5 \, x + 3\right)}} + \frac{245 \, {\left(\frac{66}{5 \, x + 3} + 23\right)}}{29282 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2}} - \frac{21}{14641} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/6655/(5*x + 3) + 245/29282*(66/(5*x + 3) + 23)/(11/(5*x + 3) - 2)^2 - 21/14641*log(abs(-11/(5*x + 3) + 2))","A",0
1690,1,51,0,1.186766," ","integrate((2+3*x)^2/(1-2*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{1331 \, {\left(5 \, x + 3\right)}} + \frac{35 \, {\left(\frac{429}{5 \, x + 3} - 43\right)}}{14641 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2}} - \frac{72}{14641} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-1/1331/(5*x + 3) + 35/14641*(429/(5*x + 3) - 43)/(11/(5*x + 3) - 2)^2 - 72/14641*log(abs(-11/(5*x + 3) + 2))","A",0
1691,1,51,0,1.206848," ","integrate((2+3*x)/(1-2*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{5}{1331 \, {\left(5 \, x + 3\right)}} + \frac{10 \, {\left(\frac{792}{5 \, x + 3} - 109\right)}}{14641 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2}} - \frac{195}{14641} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-5/1331/(5*x + 3) + 10/14641*(792/(5*x + 3) - 109)/(11/(5*x + 3) - 2)^2 - 195/14641*log(abs(-11/(5*x + 3) + 2))","A",0
1692,1,51,0,1.176259," ","integrate(1/(1-2*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{25}{1331 \, {\left(5 \, x + 3\right)}} + \frac{100 \, {\left(\frac{33}{5 \, x + 3} - 5\right)}}{14641 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2}} - \frac{150}{14641} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-25/1331/(5*x + 3) + 100/14641*(33/(5*x + 3) - 5)/(11/(5*x + 3) - 2)^2 - 150/14641*log(abs(-11/(5*x + 3) + 2))","A",0
1693,1,66,0,1.236478," ","integrate(1/(1-2*x)^3/(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{125}{1331 \, {\left(5 \, x + 3\right)}} + \frac{40 \, {\left(\frac{1518}{5 \, x + 3} - 241\right)}}{717409 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2}} + \frac{81}{343} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{28296}{5021863} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-125/1331/(5*x + 3) + 40/717409*(1518/(5*x + 3) - 241)/(11/(5*x + 3) - 2)^2 + 81/343*log(abs(-1/(5*x + 3) - 3)) - 28296/5021863*log(abs(-11/(5*x + 3) + 2))","A",0
1694,1,86,0,1.247143," ","integrate(1/(1-2*x)^3/(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{625}{1331 \, {\left(5 \, x + 3\right)}} - \frac{5 \, {\left(\frac{156456196}{5 \, x + 3} - \frac{430519419}{{\left(5 \, x + 3\right)}^{2}} - 14216316\right)}}{5021863 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2} {\left(\frac{1}{5 \, x + 3} + 3\right)}} + \frac{6156}{2401} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{92496}{35153041} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-625/1331/(5*x + 3) - 5/5021863*(156456196/(5*x + 3) - 430519419/(5*x + 3)^2 - 14216316)/((11/(5*x + 3) - 2)^2*(1/(5*x + 3) + 3)) + 6156/2401*log(abs(-1/(5*x + 3) - 3)) - 92496/35153041*log(abs(-11/(5*x + 3) + 2))","A",0
1695,1,95,0,1.146305," ","integrate(1/(1-2*x)^3/(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{3125}{1331 \, {\left(5 \, x + 3\right)}} - \frac{5 \, {\left(\frac{84659379036}{5 \, x + 3} - \frac{206753119043}{{\left(5 \, x + 3\right)}^{2}} - \frac{95568773322}{{\left(5 \, x + 3\right)}^{3}} - 7983405324\right)}}{70306082 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2} {\left(\frac{1}{5 \, x + 3} + 3\right)}^{2}} + \frac{333639}{16807} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{274224}{246071287} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-3125/1331/(5*x + 3) - 5/70306082*(84659379036/(5*x + 3) - 206753119043/(5*x + 3)^2 - 95568773322/(5*x + 3)^3 - 7983405324)/((11/(5*x + 3) - 2)^2*(1/(5*x + 3) + 3)^2) + 333639/16807*log(abs(-1/(5*x + 3) - 3)) - 274224/246071287*log(abs(-11/(5*x + 3) + 2))","A",0
1696,1,104,0,1.275169," ","integrate(1/(1-2*x)^3/(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","-\frac{15625}{1331 \, {\left(5 \, x + 3\right)}} - \frac{25 \, {\left(\frac{1535578147116}{5 \, x + 3} - \frac{3297944687832}{{\left(5 \, x + 3\right)}^{2}} - \frac{3224232263641}{{\left(5 \, x + 3\right)}^{3}} - \frac{689127341628}{{\left(5 \, x + 3\right)}^{4}} - 150040675728\right)}}{246071287 \, {\left(\frac{11}{5 \, x + 3} - 2\right)}^{2} {\left(\frac{1}{5 \, x + 3} + 3\right)}^{3}} + \frac{15820110}{117649} \, \log\left({\left| -\frac{1}{5 \, x + 3} - 3 \right|}\right) - \frac{761760}{1722499009} \, \log\left({\left| -\frac{11}{5 \, x + 3} + 2 \right|}\right)"," ",0,"-15625/1331/(5*x + 3) - 25/246071287*(1535578147116/(5*x + 3) - 3297944687832/(5*x + 3)^2 - 3224232263641/(5*x + 3)^3 - 689127341628/(5*x + 3)^4 - 150040675728)/((11/(5*x + 3) - 2)^2*(1/(5*x + 3) + 3)^3) + 15820110/117649*log(abs(-1/(5*x + 3) - 3)) - 761760/1722499009*log(abs(-11/(5*x + 3) + 2))","A",0
1697,1,68,0,1.209108," ","integrate((2+3*x)^9/(1-2*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{19683}{4000} \, x^{4} - \frac{373977}{10000} \, x^{3} - \frac{7459857}{50000} \, x^{2} - \frac{50150097}{100000} \, x + \frac{8647201498448640 \, x^{3} + 6920013076005537 \, x^{2} - 1034961928982642 \, x - 1244386341093487}{292820000000 \, {\left(5 \, x + 3\right)}^{2} {\left(2 \, x - 1\right)}^{2}} + \frac{8202}{2516421875} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{12657032367}{20614528} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-19683/4000*x^4 - 373977/10000*x^3 - 7459857/50000*x^2 - 50150097/100000*x + 1/292820000000*(8647201498448640*x^3 + 6920013076005537*x^2 - 1034961928982642*x - 1244386341093487)/((5*x + 3)^2*(2*x - 1)^2) + 8202/2516421875*log(abs(5*x + 3)) - 12657032367/20614528*log(abs(2*x - 1))","A",0
1698,1,63,0,1.172526," ","integrate((2+3*x)^8/(1-2*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{2187}{1000} \, x^{3} - \frac{330237}{20000} \, x^{2} - \frac{242028}{3125} \, x + \frac{204598963371300 \, x^{3} + 167989904414289 \, x^{2} - 19378995974014 \, x - 27910387088759}{29282000000 \, {\left(5 \, x + 3\right)}^{2} {\left(2 \, x - 1\right)}^{2}} + \frac{1284}{100656875} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{595421589}{5153632} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-2187/1000*x^3 - 330237/20000*x^2 - 242028/3125*x + 1/29282000000*(204598963371300*x^3 + 167989904414289*x^2 - 19378995974014*x - 27910387088759)/((5*x + 3)^2*(2*x - 1)^2) + 1284/100656875*log(abs(5*x + 3)) - 595421589/5153632*log(abs(2*x - 1))","A",0
1699,1,58,0,1.165462," ","integrate((2+3*x)^7/(1-2*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{2187}{2000} \, x^{2} - \frac{95499}{10000} \, x + \frac{4632429071640 \, x^{3} + 3950432948061 \, x^{2} - 262504223666 \, x - 579053717731}{2928200000 \, {\left(5 \, x + 3\right)}^{2} {\left(2 \, x - 1\right)}^{2}} + \frac{24279}{503284375} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{25059237}{1288408} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-2187/2000*x^2 - 95499/10000*x + 1/2928200000*(4632429071640*x^3 + 3950432948061*x^2 - 262504223666*x - 579053717731)/((5*x + 3)^2*(2*x - 1)^2) + 24279/503284375*log(abs(5*x + 3)) - 25059237/1288408*log(abs(2*x - 1))","A",0
1700,1,53,0,1.200400," ","integrate((2+3*x)^6/(1-2*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{729}{1000} \, x + \frac{19538111388 \, x^{3} + 17720890929 \, x^{2} + 163877530 \, x - 2060962327}{58564000 \, {\left(5 \, x + 3\right)}^{2} {\left(2 \, x - 1\right)}^{2}} + \frac{17547}{100656875} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{6950895}{2576816} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-729/1000*x + 1/58564000*(19538111388*x^3 + 17720890929*x^2 + 163877530*x - 2060962327)/((5*x + 3)^2*(2*x - 1)^2) + 17547/100656875*log(abs(5*x + 3)) - 6950895/2576816*log(abs(2*x - 1))","A",0
1701,1,50,0,1.139422," ","integrate((2+3*x)^5/(1-2*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{1800695280 \, x^{3} + 1838287161 \, x^{2} + 261128254 \, x - 116156671}{29282000 \, {\left(5 \, x + 3\right)}^{2} {\left(2 \, x - 1\right)}^{2}} + \frac{11904}{20131375} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{313845}{1288408} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/29282000*(1800695280*x^3 + 1838287161*x^2 + 261128254*x - 116156671)/((5*x + 3)^2*(2*x - 1)^2) + 11904/20131375*log(abs(5*x + 3)) - 313845/1288408*log(abs(2*x - 1))","A",0
1702,1,46,0,1.185693," ","integrate((2+3*x)^4/(1-2*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{23130420 \, x^{3} + 32722281 \, x^{2} + 14259554 \, x + 1771669}{2928200 \, {\left(10 \, x^{2} + x - 3\right)}^{2}} + \frac{294}{161051} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{294}{161051} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/2928200*(23130420*x^3 + 32722281*x^2 + 14259554*x + 1771669)/(10*x^2 + x - 3)^2 + 294/161051*log(abs(5*x + 3)) - 294/161051*log(abs(2*x - 1))","A",0
1703,1,46,0,1.226657," ","integrate((2+3*x)^3/(1-2*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{155400 \, x^{3} - 371997 \, x^{2} - 604258 \, x - 194963}{292820 \, {\left(10 \, x^{2} + x - 3\right)}^{2}} + \frac{777}{161051} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{777}{161051} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/292820*(155400*x^3 - 371997*x^2 - 604258*x - 194963)/(10*x^2 + x - 3)^2 + 777/161051*log(abs(5*x + 3)) - 777/161051*log(abs(2*x - 1))","A",0
1704,1,46,0,1.193767," ","integrate((2+3*x)^2/(1-2*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{30180 \, x^{3} + 4527 \, x^{2} - 23774 \, x - 9322}{29282 \, {\left(10 \, x^{2} + x - 3\right)}^{2}} + \frac{1509}{161051} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{1509}{161051} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/29282*(30180*x^3 + 4527*x^2 - 23774*x - 9322)/(10*x^2 + x - 3)^2 + 1509/161051*log(abs(5*x + 3)) - 1509/161051*log(abs(2*x - 1))","A",0
1705,1,46,0,1.216922," ","integrate((2+3*x)/(1-2*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{22200 \, x^{3} + 3330 \, x^{2} - 11026 \, x - 2753}{29282 \, {\left(10 \, x^{2} + x - 3\right)}^{2}} + \frac{1110}{161051} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{1110}{161051} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/29282*(22200*x^3 + 3330*x^2 - 11026*x - 2753)/(10*x^2 + x - 3)^2 + 1110/161051*log(abs(5*x + 3)) - 1110/161051*log(abs(2*x - 1))","A",0
1706,1,46,0,1.189282," ","integrate(1/(1-2*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{12000 \, x^{3} + 1800 \, x^{2} - 5960 \, x - 301}{29282 \, {\left(10 \, x^{2} + x - 3\right)}^{2}} + \frac{600}{161051} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{600}{161051} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"-1/29282*(12000*x^3 + 1800*x^2 - 5960*x - 301)/(10*x^2 + x - 3)^2 + 600/161051*log(abs(5*x + 3)) - 600/161051*log(abs(2*x - 1))","A",0
1707,1,59,0,1.262375," ","integrate(1/(1-2*x)^3/(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{6504600 \, x^{3} - 2977380 \, x^{2} - 2000774 \, x + 950291}{1434818 \, {\left(5 \, x + 3\right)}^{2} {\left(2 \, x - 1\right)}^{2}} + \frac{114375}{161051} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{243}{343} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{95232}{55240493} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/1434818*(6504600*x^3 - 2977380*x^2 - 2000774*x + 950291)/((5*x + 3)^2*(2*x - 1)^2) + 114375/161051*log(abs(5*x + 3)) - 243/343*log(abs(3*x + 2)) - 95232/55240493*log(abs(2*x - 1))","A",0
1708,1,95,0,1.161326," ","integrate(1/(1-2*x)^3/(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{243}{343 \, {\left(3 \, x + 2\right)}} - \frac{9 \, {\left(\frac{55432245900}{3 \, x + 2} - \frac{106776659235}{{\left(3 \, x + 2\right)}^{2}} + \frac{22794463286}{{\left(3 \, x + 2\right)}^{3}} - 7652987500\right)}}{70306082 \, {\left(\frac{7}{3 \, x + 2} - 2\right)}^{2} {\left(\frac{1}{3 \, x + 2} - 5\right)}^{2}} + \frac{1809375}{161051} \, \log\left({\left| -\frac{1}{3 \, x + 2} + 5 \right|}\right) - \frac{280752}{386683451} \, \log\left({\left| -\frac{7}{3 \, x + 2} + 2 \right|}\right)"," ",0,"243/343/(3*x + 2) - 9/70306082*(55432245900/(3*x + 2) - 106776659235/(3*x + 2)^2 + 22794463286/(3*x + 2)^3 - 7652987500)/((7/(3*x + 2) - 2)^2*(1/(3*x + 2) - 5)^2) + 1809375/161051*log(abs(-1/(3*x + 2) + 5)) - 280752/386683451*log(abs(-7/(3*x + 2) + 2))","A",0
1709,1,72,0,1.220430," ","integrate(1/(1-2*x)^3/(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{488145765600 \, x^{5} + 439319535120 \, x^{4} - 218954328504 \, x^{3} - 231191334456 \, x^{2} + 23195310772 \, x + 30858356237}{70306082 \, {\left(30 \, x^{3} + 23 \, x^{2} - 7 \, x - 6\right)}^{2}} + \frac{18637500}{161051} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{1944972}{16807} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{776928}{2706784157} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/70306082*(488145765600*x^5 + 439319535120*x^4 - 218954328504*x^3 - 231191334456*x^2 + 23195310772*x + 30858356237)/(30*x^3 + 23*x^2 - 7*x - 6)^2 + 18637500/161051*log(abs(5*x + 3)) - 1944972/16807*log(abs(3*x + 2)) - 776928/2706784157*log(abs(2*x - 1))","A",0
1710,1,81,0,1.240482," ","integrate(1/(1-2*x)^3/(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","\frac{86993245890000 \, x^{6} + 136289326113000 \, x^{5} + 13177709631900 \, x^{4} - 67213599053550 \, x^{3} - 23334840827100 \, x^{2} + 8254486652965 \, x + 3666255393392}{492142574 \, {\left(5 \, x + 3\right)}^{2} {\left(3 \, x + 2\right)}^{3} {\left(2 \, x - 1\right)}^{2}} + \frac{158156250}{161051} \, \log\left({\left| 5 \, x + 3 \right|}\right) - \frac{115534350}{117649} \, \log\left({\left| 3 \, x + 2 \right|}\right) - \frac{2054400}{18947489099} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"1/492142574*(86993245890000*x^6 + 136289326113000*x^5 + 13177709631900*x^4 - 67213599053550*x^3 - 23334840827100*x^2 + 8254486652965*x + 3666255393392)/((5*x + 3)^2*(3*x + 2)^3*(2*x - 1)^2) + 158156250/161051*log(abs(5*x + 3)) - 115534350/117649*log(abs(3*x + 2)) - 2054400/18947489099*log(abs(2*x - 1))","A",0
1711,1,971,0,1.219122," ","integrate((b*x+a)^3*(d*x+c)^3*(f*x+e)^3,x, algorithm=""giac"")","\frac{1}{10} \, b^{3} d^{3} f^{3} x^{10} + \frac{1}{3} \, b^{3} c d^{2} f^{3} x^{9} + \frac{1}{3} \, a b^{2} d^{3} f^{3} x^{9} + \frac{1}{3} \, b^{3} d^{3} f^{2} x^{9} e + \frac{3}{8} \, b^{3} c^{2} d f^{3} x^{8} + \frac{9}{8} \, a b^{2} c d^{2} f^{3} x^{8} + \frac{3}{8} \, a^{2} b d^{3} f^{3} x^{8} + \frac{9}{8} \, b^{3} c d^{2} f^{2} x^{8} e + \frac{9}{8} \, a b^{2} d^{3} f^{2} x^{8} e + \frac{1}{7} \, b^{3} c^{3} f^{3} x^{7} + \frac{9}{7} \, a b^{2} c^{2} d f^{3} x^{7} + \frac{9}{7} \, a^{2} b c d^{2} f^{3} x^{7} + \frac{1}{7} \, a^{3} d^{3} f^{3} x^{7} + \frac{3}{8} \, b^{3} d^{3} f x^{8} e^{2} + \frac{9}{7} \, b^{3} c^{2} d f^{2} x^{7} e + \frac{27}{7} \, a b^{2} c d^{2} f^{2} x^{7} e + \frac{9}{7} \, a^{2} b d^{3} f^{2} x^{7} e + \frac{1}{2} \, a b^{2} c^{3} f^{3} x^{6} + \frac{3}{2} \, a^{2} b c^{2} d f^{3} x^{6} + \frac{1}{2} \, a^{3} c d^{2} f^{3} x^{6} + \frac{9}{7} \, b^{3} c d^{2} f x^{7} e^{2} + \frac{9}{7} \, a b^{2} d^{3} f x^{7} e^{2} + \frac{1}{2} \, b^{3} c^{3} f^{2} x^{6} e + \frac{9}{2} \, a b^{2} c^{2} d f^{2} x^{6} e + \frac{9}{2} \, a^{2} b c d^{2} f^{2} x^{6} e + \frac{1}{2} \, a^{3} d^{3} f^{2} x^{6} e + \frac{3}{5} \, a^{2} b c^{3} f^{3} x^{5} + \frac{3}{5} \, a^{3} c^{2} d f^{3} x^{5} + \frac{1}{7} \, b^{3} d^{3} x^{7} e^{3} + \frac{3}{2} \, b^{3} c^{2} d f x^{6} e^{2} + \frac{9}{2} \, a b^{2} c d^{2} f x^{6} e^{2} + \frac{3}{2} \, a^{2} b d^{3} f x^{6} e^{2} + \frac{9}{5} \, a b^{2} c^{3} f^{2} x^{5} e + \frac{27}{5} \, a^{2} b c^{2} d f^{2} x^{5} e + \frac{9}{5} \, a^{3} c d^{2} f^{2} x^{5} e + \frac{1}{4} \, a^{3} c^{3} f^{3} x^{4} + \frac{1}{2} \, b^{3} c d^{2} x^{6} e^{3} + \frac{1}{2} \, a b^{2} d^{3} x^{6} e^{3} + \frac{3}{5} \, b^{3} c^{3} f x^{5} e^{2} + \frac{27}{5} \, a b^{2} c^{2} d f x^{5} e^{2} + \frac{27}{5} \, a^{2} b c d^{2} f x^{5} e^{2} + \frac{3}{5} \, a^{3} d^{3} f x^{5} e^{2} + \frac{9}{4} \, a^{2} b c^{3} f^{2} x^{4} e + \frac{9}{4} \, a^{3} c^{2} d f^{2} x^{4} e + \frac{3}{5} \, b^{3} c^{2} d x^{5} e^{3} + \frac{9}{5} \, a b^{2} c d^{2} x^{5} e^{3} + \frac{3}{5} \, a^{2} b d^{3} x^{5} e^{3} + \frac{9}{4} \, a b^{2} c^{3} f x^{4} e^{2} + \frac{27}{4} \, a^{2} b c^{2} d f x^{4} e^{2} + \frac{9}{4} \, a^{3} c d^{2} f x^{4} e^{2} + a^{3} c^{3} f^{2} x^{3} e + \frac{1}{4} \, b^{3} c^{3} x^{4} e^{3} + \frac{9}{4} \, a b^{2} c^{2} d x^{4} e^{3} + \frac{9}{4} \, a^{2} b c d^{2} x^{4} e^{3} + \frac{1}{4} \, a^{3} d^{3} x^{4} e^{3} + 3 \, a^{2} b c^{3} f x^{3} e^{2} + 3 \, a^{3} c^{2} d f x^{3} e^{2} + a b^{2} c^{3} x^{3} e^{3} + 3 \, a^{2} b c^{2} d x^{3} e^{3} + a^{3} c d^{2} x^{3} e^{3} + \frac{3}{2} \, a^{3} c^{3} f x^{2} e^{2} + \frac{3}{2} \, a^{2} b c^{3} x^{2} e^{3} + \frac{3}{2} \, a^{3} c^{2} d x^{2} e^{3} + a^{3} c^{3} x e^{3}"," ",0,"1/10*b^3*d^3*f^3*x^10 + 1/3*b^3*c*d^2*f^3*x^9 + 1/3*a*b^2*d^3*f^3*x^9 + 1/3*b^3*d^3*f^2*x^9*e + 3/8*b^3*c^2*d*f^3*x^8 + 9/8*a*b^2*c*d^2*f^3*x^8 + 3/8*a^2*b*d^3*f^3*x^8 + 9/8*b^3*c*d^2*f^2*x^8*e + 9/8*a*b^2*d^3*f^2*x^8*e + 1/7*b^3*c^3*f^3*x^7 + 9/7*a*b^2*c^2*d*f^3*x^7 + 9/7*a^2*b*c*d^2*f^3*x^7 + 1/7*a^3*d^3*f^3*x^7 + 3/8*b^3*d^3*f*x^8*e^2 + 9/7*b^3*c^2*d*f^2*x^7*e + 27/7*a*b^2*c*d^2*f^2*x^7*e + 9/7*a^2*b*d^3*f^2*x^7*e + 1/2*a*b^2*c^3*f^3*x^6 + 3/2*a^2*b*c^2*d*f^3*x^6 + 1/2*a^3*c*d^2*f^3*x^6 + 9/7*b^3*c*d^2*f*x^7*e^2 + 9/7*a*b^2*d^3*f*x^7*e^2 + 1/2*b^3*c^3*f^2*x^6*e + 9/2*a*b^2*c^2*d*f^2*x^6*e + 9/2*a^2*b*c*d^2*f^2*x^6*e + 1/2*a^3*d^3*f^2*x^6*e + 3/5*a^2*b*c^3*f^3*x^5 + 3/5*a^3*c^2*d*f^3*x^5 + 1/7*b^3*d^3*x^7*e^3 + 3/2*b^3*c^2*d*f*x^6*e^2 + 9/2*a*b^2*c*d^2*f*x^6*e^2 + 3/2*a^2*b*d^3*f*x^6*e^2 + 9/5*a*b^2*c^3*f^2*x^5*e + 27/5*a^2*b*c^2*d*f^2*x^5*e + 9/5*a^3*c*d^2*f^2*x^5*e + 1/4*a^3*c^3*f^3*x^4 + 1/2*b^3*c*d^2*x^6*e^3 + 1/2*a*b^2*d^3*x^6*e^3 + 3/5*b^3*c^3*f*x^5*e^2 + 27/5*a*b^2*c^2*d*f*x^5*e^2 + 27/5*a^2*b*c*d^2*f*x^5*e^2 + 3/5*a^3*d^3*f*x^5*e^2 + 9/4*a^2*b*c^3*f^2*x^4*e + 9/4*a^3*c^2*d*f^2*x^4*e + 3/5*b^3*c^2*d*x^5*e^3 + 9/5*a*b^2*c*d^2*x^5*e^3 + 3/5*a^2*b*d^3*x^5*e^3 + 9/4*a*b^2*c^3*f*x^4*e^2 + 27/4*a^2*b*c^2*d*f*x^4*e^2 + 9/4*a^3*c*d^2*f*x^4*e^2 + a^3*c^3*f^2*x^3*e + 1/4*b^3*c^3*x^4*e^3 + 9/4*a*b^2*c^2*d*x^4*e^3 + 9/4*a^2*b*c*d^2*x^4*e^3 + 1/4*a^3*d^3*x^4*e^3 + 3*a^2*b*c^3*f*x^3*e^2 + 3*a^3*c^2*d*f*x^3*e^2 + a*b^2*c^3*x^3*e^3 + 3*a^2*b*c^2*d*x^3*e^3 + a^3*c*d^2*x^3*e^3 + 3/2*a^3*c^3*f*x^2*e^2 + 3/2*a^2*b*c^3*x^2*e^3 + 3/2*a^3*c^2*d*x^2*e^3 + a^3*c^3*x*e^3","B",0
1712,1,346,0,1.200250," ","integrate((b*x+a)^2*(d*x+c)^2*(f*x+e)^2,x, algorithm=""giac"")","\frac{1}{7} \, b^{2} d^{2} f^{2} x^{7} + \frac{1}{3} \, b^{2} c d f^{2} x^{6} + \frac{1}{3} \, a b d^{2} f^{2} x^{6} + \frac{1}{3} \, b^{2} d^{2} f x^{6} e + \frac{1}{5} \, b^{2} c^{2} f^{2} x^{5} + \frac{4}{5} \, a b c d f^{2} x^{5} + \frac{1}{5} \, a^{2} d^{2} f^{2} x^{5} + \frac{4}{5} \, b^{2} c d f x^{5} e + \frac{4}{5} \, a b d^{2} f x^{5} e + \frac{1}{2} \, a b c^{2} f^{2} x^{4} + \frac{1}{2} \, a^{2} c d f^{2} x^{4} + \frac{1}{5} \, b^{2} d^{2} x^{5} e^{2} + \frac{1}{2} \, b^{2} c^{2} f x^{4} e + 2 \, a b c d f x^{4} e + \frac{1}{2} \, a^{2} d^{2} f x^{4} e + \frac{1}{3} \, a^{2} c^{2} f^{2} x^{3} + \frac{1}{2} \, b^{2} c d x^{4} e^{2} + \frac{1}{2} \, a b d^{2} x^{4} e^{2} + \frac{4}{3} \, a b c^{2} f x^{3} e + \frac{4}{3} \, a^{2} c d f x^{3} e + \frac{1}{3} \, b^{2} c^{2} x^{3} e^{2} + \frac{4}{3} \, a b c d x^{3} e^{2} + \frac{1}{3} \, a^{2} d^{2} x^{3} e^{2} + a^{2} c^{2} f x^{2} e + a b c^{2} x^{2} e^{2} + a^{2} c d x^{2} e^{2} + a^{2} c^{2} x e^{2}"," ",0,"1/7*b^2*d^2*f^2*x^7 + 1/3*b^2*c*d*f^2*x^6 + 1/3*a*b*d^2*f^2*x^6 + 1/3*b^2*d^2*f*x^6*e + 1/5*b^2*c^2*f^2*x^5 + 4/5*a*b*c*d*f^2*x^5 + 1/5*a^2*d^2*f^2*x^5 + 4/5*b^2*c*d*f*x^5*e + 4/5*a*b*d^2*f*x^5*e + 1/2*a*b*c^2*f^2*x^4 + 1/2*a^2*c*d*f^2*x^4 + 1/5*b^2*d^2*x^5*e^2 + 1/2*b^2*c^2*f*x^4*e + 2*a*b*c*d*f*x^4*e + 1/2*a^2*d^2*f*x^4*e + 1/3*a^2*c^2*f^2*x^3 + 1/2*b^2*c*d*x^4*e^2 + 1/2*a*b*d^2*x^4*e^2 + 4/3*a*b*c^2*f*x^3*e + 4/3*a^2*c*d*f*x^3*e + 1/3*b^2*c^2*x^3*e^2 + 4/3*a*b*c*d*x^3*e^2 + 1/3*a^2*d^2*x^3*e^2 + a^2*c^2*f*x^2*e + a*b*c^2*x^2*e^2 + a^2*c*d*x^2*e^2 + a^2*c^2*x*e^2","A",0
1713,1,66,0,1.152400," ","integrate((b*x+a)*(d*x+c)*(f*x+e),x, algorithm=""giac"")","\frac{1}{4} \, b d f x^{4} + \frac{1}{3} \, b c f x^{3} + \frac{1}{3} \, a d f x^{3} + \frac{1}{3} \, b d x^{3} e + \frac{1}{2} \, a c f x^{2} + \frac{1}{2} \, b c x^{2} e + \frac{1}{2} \, a d x^{2} e + a c x e"," ",0,"1/4*b*d*f*x^4 + 1/3*b*c*f*x^3 + 1/3*a*d*f*x^3 + 1/3*b*d*x^3*e + 1/2*a*c*f*x^2 + 1/2*b*c*x^2*e + 1/2*a*d*x^2*e + a*c*x*e","A",0
1714,1,137,0,1.205853," ","integrate(1/(b*x+a)/(d*x+c)/(f*x+e),x, algorithm=""giac"")","-\frac{b^{2} \log\left({\left| b x + a \right|}\right)}{a b^{2} c f - a^{2} b d f - b^{3} c e + a b^{2} d e} + \frac{d^{2} \log\left({\left| d x + c \right|}\right)}{b c^{2} d f - a c d^{2} f - b c d^{2} e + a d^{3} e} + \frac{f^{2} \log\left({\left| f x + e \right|}\right)}{a c f^{3} - b c f^{2} e - a d f^{2} e + b d f e^{2}}"," ",0,"-b^2*log(abs(b*x + a))/(a*b^2*c*f - a^2*b*d*f - b^3*c*e + a*b^2*d*e) + d^2*log(abs(d*x + c))/(b*c^2*d*f - a*c*d^2*f - b*c*d^2*e + a*d^3*e) + f^2*log(abs(f*x + e))/(a*c*f^3 - b*c*f^2*e - a*d*f^2*e + b*d*f*e^2)","A",0
1715,1,1738,0,2.964365," ","integrate(1/(b*x+a)^2/(d*x+c)^2/(f*x+e)^2,x, algorithm=""giac"")","-\frac{b^{7}}{{\left(a^{2} b^{6} c^{2} f^{2} - 2 \, a^{3} b^{5} c d f^{2} + a^{4} b^{4} d^{2} f^{2} - 2 \, a b^{7} c^{2} f e + 4 \, a^{2} b^{6} c d f e - 2 \, a^{3} b^{5} d^{2} f e + b^{8} c^{2} e^{2} - 2 \, a b^{7} c d e^{2} + a^{2} b^{6} d^{2} e^{2}\right)} {\left(b x + a\right)}} - \frac{{\left(b^{4} c f - 2 \, a b^{3} d f + b^{4} d e\right)} \log\left({\left| \frac{b c f}{b x + a} - \frac{a b c f}{{\left(b x + a\right)}^{2}} - \frac{2 \, a d f}{b x + a} + \frac{a^{2} d f}{{\left(b x + a\right)}^{2}} + d f + \frac{b^{2} c e}{{\left(b x + a\right)}^{2}} + \frac{b d e}{b x + a} - \frac{a b d e}{{\left(b x + a\right)}^{2}} \right|}\right)}{a^{3} b^{3} c^{3} f^{3} - 3 \, a^{4} b^{2} c^{2} d f^{3} + 3 \, a^{5} b c d^{2} f^{3} - a^{6} d^{3} f^{3} - 3 \, a^{2} b^{4} c^{3} f^{2} e + 9 \, a^{3} b^{3} c^{2} d f^{2} e - 9 \, a^{4} b^{2} c d^{2} f^{2} e + 3 \, a^{5} b d^{3} f^{2} e + 3 \, a b^{5} c^{3} f e^{2} - 9 \, a^{2} b^{4} c^{2} d f e^{2} + 9 \, a^{3} b^{3} c d^{2} f e^{2} - 3 \, a^{4} b^{2} d^{3} f e^{2} - b^{6} c^{3} e^{3} + 3 \, a b^{5} c^{2} d e^{3} - 3 \, a^{2} b^{4} c d^{2} e^{3} + a^{3} b^{3} d^{3} e^{3}} - \frac{{\left(b^{6} c^{4} f^{4} - 2 \, a b^{5} c^{3} d f^{4} + 4 \, a^{3} b^{3} c d^{3} f^{4} - 2 \, a^{4} b^{2} d^{4} f^{4} - 2 \, b^{6} c^{3} d f^{3} e + 6 \, a b^{5} c^{2} d^{2} f^{3} e - 12 \, a^{2} b^{4} c d^{3} f^{3} e + 4 \, a^{3} b^{3} d^{4} f^{3} e + 6 \, a b^{5} c d^{3} f^{2} e^{2} - 2 \, b^{6} c d^{3} f e^{3} - 2 \, a b^{5} d^{4} f e^{3} + b^{6} d^{4} e^{4}\right)} \log\left(\frac{{\left| \frac{2 \, a b^{2} c f}{b x + a} - b^{2} c f + 2 \, a b d f - \frac{2 \, a^{2} b d f}{b x + a} - \frac{2 \, b^{3} c e}{b x + a} + \frac{2 \, a b^{2} d e}{b x + a} - b^{2} d e - {\left| -b^{2} c f + b^{2} d e \right|} \right|}}{{\left| \frac{2 \, a b^{2} c f}{b x + a} - b^{2} c f + 2 \, a b d f - \frac{2 \, a^{2} b d f}{b x + a} - \frac{2 \, b^{3} c e}{b x + a} + \frac{2 \, a b^{2} d e}{b x + a} - b^{2} d e + {\left| -b^{2} c f + b^{2} d e \right|} \right|}}\right)}{{\left(a^{3} b^{3} c^{5} f^{5} - 3 \, a^{4} b^{2} c^{4} d f^{5} + 3 \, a^{5} b c^{3} d^{2} f^{5} - a^{6} c^{2} d^{3} f^{5} - 3 \, a^{2} b^{4} c^{5} f^{4} e + 7 \, a^{3} b^{3} c^{4} d f^{4} e - 3 \, a^{4} b^{2} c^{3} d^{2} f^{4} e - 3 \, a^{5} b c^{2} d^{3} f^{4} e + 2 \, a^{6} c d^{4} f^{4} e + 3 \, a b^{5} c^{5} f^{3} e^{2} - 3 \, a^{2} b^{4} c^{4} d f^{3} e^{2} - 8 \, a^{3} b^{3} c^{3} d^{2} f^{3} e^{2} + 12 \, a^{4} b^{2} c^{2} d^{3} f^{3} e^{2} - 3 \, a^{5} b c d^{4} f^{3} e^{2} - a^{6} d^{5} f^{3} e^{2} - b^{6} c^{5} f^{2} e^{3} - 3 \, a b^{5} c^{4} d f^{2} e^{3} + 12 \, a^{2} b^{4} c^{3} d^{2} f^{2} e^{3} - 8 \, a^{3} b^{3} c^{2} d^{3} f^{2} e^{3} - 3 \, a^{4} b^{2} c d^{4} f^{2} e^{3} + 3 \, a^{5} b d^{5} f^{2} e^{3} + 2 \, b^{6} c^{4} d f e^{4} - 3 \, a b^{5} c^{3} d^{2} f e^{4} - 3 \, a^{2} b^{4} c^{2} d^{3} f e^{4} + 7 \, a^{3} b^{3} c d^{4} f e^{4} - 3 \, a^{4} b^{2} d^{5} f e^{4} - b^{6} c^{3} d^{2} e^{5} + 3 \, a b^{5} c^{2} d^{3} e^{5} - 3 \, a^{2} b^{4} c d^{4} e^{5} + a^{3} b^{3} d^{5} e^{5}\right)} {\left| -b^{2} c f + b^{2} d e \right|}} - \frac{\frac{b^{4} c^{3} d f^{4} - 3 \, a b^{3} c^{2} d^{2} f^{4} + 3 \, a^{2} b^{2} c d^{3} f^{4} - 2 \, a^{3} b d^{4} f^{4} + 3 \, a^{2} b^{2} d^{4} f^{3} e - 3 \, a b^{3} d^{4} f^{2} e^{2} + b^{4} d^{4} f e^{3}}{a b c f - a^{2} d f - b^{2} c e + a b d e} + \frac{b^{6} c^{4} f^{4} - 4 \, a b^{5} c^{3} d f^{4} + 6 \, a^{2} b^{4} c^{2} d^{2} f^{4} - 4 \, a^{3} b^{3} c d^{3} f^{4} + 2 \, a^{4} b^{2} d^{4} f^{4} - 4 \, a^{3} b^{3} d^{4} f^{3} e + 6 \, a^{2} b^{4} d^{4} f^{2} e^{2} - 4 \, a b^{5} d^{4} f e^{3} + b^{6} d^{4} e^{4}}{{\left(a b c f - a^{2} d f - b^{2} c e + a b d e\right)} {\left(b x + a\right)} b}}{{\left(b c - a d\right)}^{2} {\left(a f - b e\right)}^{2} {\left(\frac{b c f}{b x + a} - \frac{a b c f}{{\left(b x + a\right)}^{2}} - \frac{2 \, a d f}{b x + a} + \frac{a^{2} d f}{{\left(b x + a\right)}^{2}} + d f + \frac{b^{2} c e}{{\left(b x + a\right)}^{2}} + \frac{b d e}{b x + a} - \frac{a b d e}{{\left(b x + a\right)}^{2}}\right)} {\left(c f - d e\right)}^{2}}"," ",0,"-b^7/((a^2*b^6*c^2*f^2 - 2*a^3*b^5*c*d*f^2 + a^4*b^4*d^2*f^2 - 2*a*b^7*c^2*f*e + 4*a^2*b^6*c*d*f*e - 2*a^3*b^5*d^2*f*e + b^8*c^2*e^2 - 2*a*b^7*c*d*e^2 + a^2*b^6*d^2*e^2)*(b*x + a)) - (b^4*c*f - 2*a*b^3*d*f + b^4*d*e)*log(abs(b*c*f/(b*x + a) - a*b*c*f/(b*x + a)^2 - 2*a*d*f/(b*x + a) + a^2*d*f/(b*x + a)^2 + d*f + b^2*c*e/(b*x + a)^2 + b*d*e/(b*x + a) - a*b*d*e/(b*x + a)^2))/(a^3*b^3*c^3*f^3 - 3*a^4*b^2*c^2*d*f^3 + 3*a^5*b*c*d^2*f^3 - a^6*d^3*f^3 - 3*a^2*b^4*c^3*f^2*e + 9*a^3*b^3*c^2*d*f^2*e - 9*a^4*b^2*c*d^2*f^2*e + 3*a^5*b*d^3*f^2*e + 3*a*b^5*c^3*f*e^2 - 9*a^2*b^4*c^2*d*f*e^2 + 9*a^3*b^3*c*d^2*f*e^2 - 3*a^4*b^2*d^3*f*e^2 - b^6*c^3*e^3 + 3*a*b^5*c^2*d*e^3 - 3*a^2*b^4*c*d^2*e^3 + a^3*b^3*d^3*e^3) - (b^6*c^4*f^4 - 2*a*b^5*c^3*d*f^4 + 4*a^3*b^3*c*d^3*f^4 - 2*a^4*b^2*d^4*f^4 - 2*b^6*c^3*d*f^3*e + 6*a*b^5*c^2*d^2*f^3*e - 12*a^2*b^4*c*d^3*f^3*e + 4*a^3*b^3*d^4*f^3*e + 6*a*b^5*c*d^3*f^2*e^2 - 2*b^6*c*d^3*f*e^3 - 2*a*b^5*d^4*f*e^3 + b^6*d^4*e^4)*log(abs(2*a*b^2*c*f/(b*x + a) - b^2*c*f + 2*a*b*d*f - 2*a^2*b*d*f/(b*x + a) - 2*b^3*c*e/(b*x + a) + 2*a*b^2*d*e/(b*x + a) - b^2*d*e - abs(-b^2*c*f + b^2*d*e))/abs(2*a*b^2*c*f/(b*x + a) - b^2*c*f + 2*a*b*d*f - 2*a^2*b*d*f/(b*x + a) - 2*b^3*c*e/(b*x + a) + 2*a*b^2*d*e/(b*x + a) - b^2*d*e + abs(-b^2*c*f + b^2*d*e)))/((a^3*b^3*c^5*f^5 - 3*a^4*b^2*c^4*d*f^5 + 3*a^5*b*c^3*d^2*f^5 - a^6*c^2*d^3*f^5 - 3*a^2*b^4*c^5*f^4*e + 7*a^3*b^3*c^4*d*f^4*e - 3*a^4*b^2*c^3*d^2*f^4*e - 3*a^5*b*c^2*d^3*f^4*e + 2*a^6*c*d^4*f^4*e + 3*a*b^5*c^5*f^3*e^2 - 3*a^2*b^4*c^4*d*f^3*e^2 - 8*a^3*b^3*c^3*d^2*f^3*e^2 + 12*a^4*b^2*c^2*d^3*f^3*e^2 - 3*a^5*b*c*d^4*f^3*e^2 - a^6*d^5*f^3*e^2 - b^6*c^5*f^2*e^3 - 3*a*b^5*c^4*d*f^2*e^3 + 12*a^2*b^4*c^3*d^2*f^2*e^3 - 8*a^3*b^3*c^2*d^3*f^2*e^3 - 3*a^4*b^2*c*d^4*f^2*e^3 + 3*a^5*b*d^5*f^2*e^3 + 2*b^6*c^4*d*f*e^4 - 3*a*b^5*c^3*d^2*f*e^4 - 3*a^2*b^4*c^2*d^3*f*e^4 + 7*a^3*b^3*c*d^4*f*e^4 - 3*a^4*b^2*d^5*f*e^4 - b^6*c^3*d^2*e^5 + 3*a*b^5*c^2*d^3*e^5 - 3*a^2*b^4*c*d^4*e^5 + a^3*b^3*d^5*e^5)*abs(-b^2*c*f + b^2*d*e)) - ((b^4*c^3*d*f^4 - 3*a*b^3*c^2*d^2*f^4 + 3*a^2*b^2*c*d^3*f^4 - 2*a^3*b*d^4*f^4 + 3*a^2*b^2*d^4*f^3*e - 3*a*b^3*d^4*f^2*e^2 + b^4*d^4*f*e^3)/(a*b*c*f - a^2*d*f - b^2*c*e + a*b*d*e) + (b^6*c^4*f^4 - 4*a*b^5*c^3*d*f^4 + 6*a^2*b^4*c^2*d^2*f^4 - 4*a^3*b^3*c*d^3*f^4 + 2*a^4*b^2*d^4*f^4 - 4*a^3*b^3*d^4*f^3*e + 6*a^2*b^4*d^4*f^2*e^2 - 4*a*b^5*d^4*f*e^3 + b^6*d^4*e^4)/((a*b*c*f - a^2*d*f - b^2*c*e + a*b*d*e)*(b*x + a)*b))/((b*c - a*d)^2*(a*f - b*e)^2*(b*c*f/(b*x + a) - a*b*c*f/(b*x + a)^2 - 2*a*d*f/(b*x + a) + a^2*d*f/(b*x + a)^2 + d*f + b^2*c*e/(b*x + a)^2 + b*d*e/(b*x + a) - a*b*d*e/(b*x + a)^2)*(c*f - d*e)^2)","B",0
1716,1,6908,0,1.995575," ","integrate(1/(b*x+a)^3/(d*x+c)^3/(f*x+e)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(2 \, b^{8} c^{2} f^{2} - 7 \, a b^{7} c d f^{2} + 7 \, a^{2} b^{6} d^{2} f^{2} + 3 \, b^{8} c d f e - 7 \, a b^{7} d^{2} f e + 2 \, b^{8} d^{2} e^{2}\right)} \log\left({\left| b x + a \right|}\right)}{a^{5} b^{6} c^{5} f^{5} - 5 \, a^{6} b^{5} c^{4} d f^{5} + 10 \, a^{7} b^{4} c^{3} d^{2} f^{5} - 10 \, a^{8} b^{3} c^{2} d^{3} f^{5} + 5 \, a^{9} b^{2} c d^{4} f^{5} - a^{10} b d^{5} f^{5} - 5 \, a^{4} b^{7} c^{5} f^{4} e + 25 \, a^{5} b^{6} c^{4} d f^{4} e - 50 \, a^{6} b^{5} c^{3} d^{2} f^{4} e + 50 \, a^{7} b^{4} c^{2} d^{3} f^{4} e - 25 \, a^{8} b^{3} c d^{4} f^{4} e + 5 \, a^{9} b^{2} d^{5} f^{4} e + 10 \, a^{3} b^{8} c^{5} f^{3} e^{2} - 50 \, a^{4} b^{7} c^{4} d f^{3} e^{2} + 100 \, a^{5} b^{6} c^{3} d^{2} f^{3} e^{2} - 100 \, a^{6} b^{5} c^{2} d^{3} f^{3} e^{2} + 50 \, a^{7} b^{4} c d^{4} f^{3} e^{2} - 10 \, a^{8} b^{3} d^{5} f^{3} e^{2} - 10 \, a^{2} b^{9} c^{5} f^{2} e^{3} + 50 \, a^{3} b^{8} c^{4} d f^{2} e^{3} - 100 \, a^{4} b^{7} c^{3} d^{2} f^{2} e^{3} + 100 \, a^{5} b^{6} c^{2} d^{3} f^{2} e^{3} - 50 \, a^{6} b^{5} c d^{4} f^{2} e^{3} + 10 \, a^{7} b^{4} d^{5} f^{2} e^{3} + 5 \, a b^{10} c^{5} f e^{4} - 25 \, a^{2} b^{9} c^{4} d f e^{4} + 50 \, a^{3} b^{8} c^{3} d^{2} f e^{4} - 50 \, a^{4} b^{7} c^{2} d^{3} f e^{4} + 25 \, a^{5} b^{6} c d^{4} f e^{4} - 5 \, a^{6} b^{5} d^{5} f e^{4} - b^{11} c^{5} e^{5} + 5 \, a b^{10} c^{4} d e^{5} - 10 \, a^{2} b^{9} c^{3} d^{2} e^{5} + 10 \, a^{3} b^{8} c^{2} d^{3} e^{5} - 5 \, a^{4} b^{7} c d^{4} e^{5} + a^{5} b^{6} d^{5} e^{5}} + \frac{3 \, {\left(7 \, b^{2} c^{2} d^{6} f^{2} - 7 \, a b c d^{7} f^{2} + 2 \, a^{2} d^{8} f^{2} - 7 \, b^{2} c d^{7} f e + 3 \, a b d^{8} f e + 2 \, b^{2} d^{8} e^{2}\right)} \log\left({\left| d x + c \right|}\right)}{b^{5} c^{10} d f^{5} - 5 \, a b^{4} c^{9} d^{2} f^{5} + 10 \, a^{2} b^{3} c^{8} d^{3} f^{5} - 10 \, a^{3} b^{2} c^{7} d^{4} f^{5} + 5 \, a^{4} b c^{6} d^{5} f^{5} - a^{5} c^{5} d^{6} f^{5} - 5 \, b^{5} c^{9} d^{2} f^{4} e + 25 \, a b^{4} c^{8} d^{3} f^{4} e - 50 \, a^{2} b^{3} c^{7} d^{4} f^{4} e + 50 \, a^{3} b^{2} c^{6} d^{5} f^{4} e - 25 \, a^{4} b c^{5} d^{6} f^{4} e + 5 \, a^{5} c^{4} d^{7} f^{4} e + 10 \, b^{5} c^{8} d^{3} f^{3} e^{2} - 50 \, a b^{4} c^{7} d^{4} f^{3} e^{2} + 100 \, a^{2} b^{3} c^{6} d^{5} f^{3} e^{2} - 100 \, a^{3} b^{2} c^{5} d^{6} f^{3} e^{2} + 50 \, a^{4} b c^{4} d^{7} f^{3} e^{2} - 10 \, a^{5} c^{3} d^{8} f^{3} e^{2} - 10 \, b^{5} c^{7} d^{4} f^{2} e^{3} + 50 \, a b^{4} c^{6} d^{5} f^{2} e^{3} - 100 \, a^{2} b^{3} c^{5} d^{6} f^{2} e^{3} + 100 \, a^{3} b^{2} c^{4} d^{7} f^{2} e^{3} - 50 \, a^{4} b c^{3} d^{8} f^{2} e^{3} + 10 \, a^{5} c^{2} d^{9} f^{2} e^{3} + 5 \, b^{5} c^{6} d^{5} f e^{4} - 25 \, a b^{4} c^{5} d^{6} f e^{4} + 50 \, a^{2} b^{3} c^{4} d^{7} f e^{4} - 50 \, a^{3} b^{2} c^{3} d^{8} f e^{4} + 25 \, a^{4} b c^{2} d^{9} f e^{4} - 5 \, a^{5} c d^{10} f e^{4} - b^{5} c^{5} d^{6} e^{5} + 5 \, a b^{4} c^{4} d^{7} e^{5} - 10 \, a^{2} b^{3} c^{3} d^{8} e^{5} + 10 \, a^{3} b^{2} c^{2} d^{9} e^{5} - 5 \, a^{4} b c d^{10} e^{5} + a^{5} d^{11} e^{5}} + \frac{3 \, {\left(2 \, b^{2} c^{2} f^{8} + 3 \, a b c d f^{8} + 2 \, a^{2} d^{2} f^{8} - 7 \, b^{2} c d f^{7} e - 7 \, a b d^{2} f^{7} e + 7 \, b^{2} d^{2} f^{6} e^{2}\right)} \log\left({\left| f x + e \right|}\right)}{a^{5} c^{5} f^{11} - 5 \, a^{4} b c^{5} f^{10} e - 5 \, a^{5} c^{4} d f^{10} e + 10 \, a^{3} b^{2} c^{5} f^{9} e^{2} + 25 \, a^{4} b c^{4} d f^{9} e^{2} + 10 \, a^{5} c^{3} d^{2} f^{9} e^{2} - 10 \, a^{2} b^{3} c^{5} f^{8} e^{3} - 50 \, a^{3} b^{2} c^{4} d f^{8} e^{3} - 50 \, a^{4} b c^{3} d^{2} f^{8} e^{3} - 10 \, a^{5} c^{2} d^{3} f^{8} e^{3} + 5 \, a b^{4} c^{5} f^{7} e^{4} + 50 \, a^{2} b^{3} c^{4} d f^{7} e^{4} + 100 \, a^{3} b^{2} c^{3} d^{2} f^{7} e^{4} + 50 \, a^{4} b c^{2} d^{3} f^{7} e^{4} + 5 \, a^{5} c d^{4} f^{7} e^{4} - b^{5} c^{5} f^{6} e^{5} - 25 \, a b^{4} c^{4} d f^{6} e^{5} - 100 \, a^{2} b^{3} c^{3} d^{2} f^{6} e^{5} - 100 \, a^{3} b^{2} c^{2} d^{3} f^{6} e^{5} - 25 \, a^{4} b c d^{4} f^{6} e^{5} - a^{5} d^{5} f^{6} e^{5} + 5 \, b^{5} c^{4} d f^{5} e^{6} + 50 \, a b^{4} c^{3} d^{2} f^{5} e^{6} + 100 \, a^{2} b^{3} c^{2} d^{3} f^{5} e^{6} + 50 \, a^{3} b^{2} c d^{4} f^{5} e^{6} + 5 \, a^{4} b d^{5} f^{5} e^{6} - 10 \, b^{5} c^{3} d^{2} f^{4} e^{7} - 50 \, a b^{4} c^{2} d^{3} f^{4} e^{7} - 50 \, a^{2} b^{3} c d^{4} f^{4} e^{7} - 10 \, a^{3} b^{2} d^{5} f^{4} e^{7} + 10 \, b^{5} c^{2} d^{3} f^{3} e^{8} + 25 \, a b^{4} c d^{4} f^{3} e^{8} + 10 \, a^{2} b^{3} d^{5} f^{3} e^{8} - 5 \, b^{5} c d^{4} f^{2} e^{9} - 5 \, a b^{4} d^{5} f^{2} e^{9} + b^{5} d^{5} f e^{10}} + \frac{12 \, b^{7} c^{5} d^{2} f^{7} x^{5} - 30 \, a b^{6} c^{4} d^{3} f^{7} x^{5} + 12 \, a^{2} b^{5} c^{3} d^{4} f^{7} x^{5} + 12 \, a^{3} b^{4} c^{2} d^{5} f^{7} x^{5} - 30 \, a^{4} b^{3} c d^{6} f^{7} x^{5} + 12 \, a^{5} b^{2} d^{7} f^{7} x^{5} - 30 \, b^{7} c^{4} d^{3} f^{6} x^{5} e + 96 \, a b^{6} c^{3} d^{4} f^{6} x^{5} e - 72 \, a^{2} b^{5} c^{2} d^{5} f^{6} x^{5} e + 96 \, a^{3} b^{4} c d^{6} f^{6} x^{5} e - 30 \, a^{4} b^{3} d^{7} f^{6} x^{5} e + 24 \, b^{7} c^{6} d f^{7} x^{4} - 42 \, a b^{6} c^{5} d^{2} f^{7} x^{4} - 21 \, a^{2} b^{5} c^{4} d^{3} f^{7} x^{4} + 42 \, a^{3} b^{4} c^{3} d^{4} f^{7} x^{4} - 21 \, a^{4} b^{3} c^{2} d^{5} f^{7} x^{4} - 42 \, a^{5} b^{2} c d^{6} f^{7} x^{4} + 24 \, a^{6} b d^{7} f^{7} x^{4} + 12 \, b^{7} c^{3} d^{4} f^{5} x^{5} e^{2} - 72 \, a b^{6} c^{2} d^{5} f^{5} x^{5} e^{2} - 72 \, a^{2} b^{5} c d^{6} f^{5} x^{5} e^{2} + 12 \, a^{3} b^{4} d^{7} f^{5} x^{5} e^{2} - 42 \, b^{7} c^{5} d^{2} f^{6} x^{4} e + 102 \, a b^{6} c^{4} d^{3} f^{6} x^{4} e + 18 \, a^{2} b^{5} c^{3} d^{4} f^{6} x^{4} e + 18 \, a^{3} b^{4} c^{2} d^{5} f^{6} x^{4} e + 102 \, a^{4} b^{3} c d^{6} f^{6} x^{4} e - 42 \, a^{5} b^{2} d^{7} f^{6} x^{4} e + 12 \, b^{7} c^{7} f^{7} x^{3} + 6 \, a b^{6} c^{6} d f^{7} x^{3} - 74 \, a^{2} b^{5} c^{5} d^{2} f^{7} x^{3} + 38 \, a^{3} b^{4} c^{4} d^{3} f^{7} x^{3} + 38 \, a^{4} b^{3} c^{3} d^{4} f^{7} x^{3} - 74 \, a^{5} b^{2} c^{2} d^{5} f^{7} x^{3} + 6 \, a^{6} b c d^{6} f^{7} x^{3} + 12 \, a^{7} d^{7} f^{7} x^{3} + 12 \, b^{7} c^{2} d^{5} f^{4} x^{5} e^{3} + 96 \, a b^{6} c d^{6} f^{4} x^{5} e^{3} + 12 \, a^{2} b^{5} d^{7} f^{4} x^{5} e^{3} - 21 \, b^{7} c^{4} d^{3} f^{5} x^{4} e^{2} + 18 \, a b^{6} c^{3} d^{4} f^{5} x^{4} e^{2} - 234 \, a^{2} b^{5} c^{2} d^{5} f^{5} x^{4} e^{2} + 18 \, a^{3} b^{4} c d^{6} f^{5} x^{4} e^{2} - 21 \, a^{4} b^{3} d^{7} f^{5} x^{4} e^{2} + 6 \, b^{7} c^{6} d f^{6} x^{3} e - 56 \, a b^{6} c^{5} d^{2} f^{6} x^{3} e + 172 \, a^{2} b^{5} c^{4} d^{3} f^{6} x^{3} e - 136 \, a^{3} b^{4} c^{3} d^{4} f^{6} x^{3} e + 172 \, a^{4} b^{3} c^{2} d^{5} f^{6} x^{3} e - 56 \, a^{5} b^{2} c d^{6} f^{6} x^{3} e + 6 \, a^{6} b d^{7} f^{6} x^{3} e + 18 \, a b^{6} c^{7} f^{7} x^{2} - 37 \, a^{2} b^{5} c^{6} d f^{7} x^{2} - 3 \, a^{3} b^{4} c^{5} d^{2} f^{7} x^{2} + 32 \, a^{4} b^{3} c^{4} d^{3} f^{7} x^{2} - 3 \, a^{5} b^{2} c^{3} d^{4} f^{7} x^{2} - 37 \, a^{6} b c^{2} d^{5} f^{7} x^{2} + 18 \, a^{7} c d^{6} f^{7} x^{2} - 30 \, b^{7} c d^{6} f^{3} x^{5} e^{4} - 30 \, a b^{6} d^{7} f^{3} x^{5} e^{4} + 42 \, b^{7} c^{3} d^{4} f^{4} x^{4} e^{3} + 18 \, a b^{6} c^{2} d^{5} f^{4} x^{4} e^{3} + 18 \, a^{2} b^{5} c d^{6} f^{4} x^{4} e^{3} + 42 \, a^{3} b^{4} d^{7} f^{4} x^{4} e^{3} - 74 \, b^{7} c^{5} d^{2} f^{5} x^{3} e^{2} + 172 \, a b^{6} c^{4} d^{3} f^{5} x^{3} e^{2} - 104 \, a^{2} b^{5} c^{3} d^{4} f^{5} x^{3} e^{2} - 104 \, a^{3} b^{4} c^{2} d^{5} f^{5} x^{3} e^{2} + 172 \, a^{4} b^{3} c d^{6} f^{5} x^{3} e^{2} - 74 \, a^{5} b^{2} d^{7} f^{5} x^{3} e^{2} + 18 \, b^{7} c^{7} f^{6} x^{2} e - 34 \, a b^{6} c^{6} d f^{6} x^{2} e + 9 \, a^{2} b^{5} c^{5} d^{2} f^{6} x^{2} e + a^{3} b^{4} c^{4} d^{3} f^{6} x^{2} e + a^{4} b^{3} c^{3} d^{4} f^{6} x^{2} e + 9 \, a^{5} b^{2} c^{2} d^{5} f^{6} x^{2} e - 34 \, a^{6} b c d^{6} f^{6} x^{2} e + 18 \, a^{7} d^{7} f^{6} x^{2} e + 4 \, a^{2} b^{5} c^{7} f^{7} x - 12 \, a^{3} b^{4} c^{6} d f^{7} x + 8 \, a^{4} b^{3} c^{5} d^{2} f^{7} x + 8 \, a^{5} b^{2} c^{4} d^{3} f^{7} x - 12 \, a^{6} b c^{3} d^{4} f^{7} x + 4 \, a^{7} c^{2} d^{5} f^{7} x + 12 \, b^{7} d^{7} f^{2} x^{5} e^{5} - 21 \, b^{7} c^{2} d^{5} f^{3} x^{4} e^{4} + 102 \, a b^{6} c d^{6} f^{3} x^{4} e^{4} - 21 \, a^{2} b^{5} d^{7} f^{3} x^{4} e^{4} + 38 \, b^{7} c^{4} d^{3} f^{4} x^{3} e^{3} - 136 \, a b^{6} c^{3} d^{4} f^{4} x^{3} e^{3} - 104 \, a^{2} b^{5} c^{2} d^{5} f^{4} x^{3} e^{3} - 136 \, a^{3} b^{4} c d^{6} f^{4} x^{3} e^{3} + 38 \, a^{4} b^{3} d^{7} f^{4} x^{3} e^{3} - 37 \, b^{7} c^{6} d f^{5} x^{2} e^{2} + 9 \, a b^{6} c^{5} d^{2} f^{5} x^{2} e^{2} + 234 \, a^{2} b^{5} c^{4} d^{3} f^{5} x^{2} e^{2} - 208 \, a^{3} b^{4} c^{3} d^{4} f^{5} x^{2} e^{2} + 234 \, a^{4} b^{3} c^{2} d^{5} f^{5} x^{2} e^{2} + 9 \, a^{5} b^{2} c d^{6} f^{5} x^{2} e^{2} - 37 \, a^{6} b d^{7} f^{5} x^{2} e^{2} + 28 \, a b^{6} c^{7} f^{6} x e - 66 \, a^{2} b^{5} c^{6} d f^{6} x e + 34 \, a^{3} b^{4} c^{5} d^{2} f^{6} x e - 16 \, a^{4} b^{3} c^{4} d^{3} f^{6} x e + 34 \, a^{5} b^{2} c^{3} d^{4} f^{6} x e - 66 \, a^{6} b c^{2} d^{5} f^{6} x e + 28 \, a^{7} c d^{6} f^{6} x e - a^{3} b^{4} c^{7} f^{7} + 4 \, a^{4} b^{3} c^{6} d f^{7} - 6 \, a^{5} b^{2} c^{5} d^{2} f^{7} + 4 \, a^{6} b c^{4} d^{3} f^{7} - a^{7} c^{3} d^{4} f^{7} - 42 \, b^{7} c d^{6} f^{2} x^{4} e^{5} - 42 \, a b^{6} d^{7} f^{2} x^{4} e^{5} + 38 \, b^{7} c^{3} d^{4} f^{3} x^{3} e^{4} + 172 \, a b^{6} c^{2} d^{5} f^{3} x^{3} e^{4} + 172 \, a^{2} b^{5} c d^{6} f^{3} x^{3} e^{4} + 38 \, a^{3} b^{4} d^{7} f^{3} x^{3} e^{4} - 3 \, b^{7} c^{5} d^{2} f^{4} x^{2} e^{3} + a b^{6} c^{4} d^{3} f^{4} x^{2} e^{3} - 208 \, a^{2} b^{5} c^{3} d^{4} f^{4} x^{2} e^{3} - 208 \, a^{3} b^{4} c^{2} d^{5} f^{4} x^{2} e^{3} + a^{4} b^{3} c d^{6} f^{4} x^{2} e^{3} - 3 \, a^{5} b^{2} d^{7} f^{4} x^{2} e^{3} + 4 \, b^{7} c^{7} f^{5} x e^{2} - 66 \, a b^{6} c^{6} d f^{5} x e^{2} + 156 \, a^{2} b^{5} c^{5} d^{2} f^{5} x e^{2} - 52 \, a^{3} b^{4} c^{4} d^{3} f^{5} x e^{2} - 52 \, a^{4} b^{3} c^{3} d^{4} f^{5} x e^{2} + 156 \, a^{5} b^{2} c^{2} d^{5} f^{5} x e^{2} - 66 \, a^{6} b c d^{6} f^{5} x e^{2} + 4 \, a^{7} d^{7} f^{5} x e^{2} + 7 \, a^{2} b^{5} c^{7} f^{6} e - 21 \, a^{3} b^{4} c^{6} d f^{6} e + 14 \, a^{4} b^{3} c^{5} d^{2} f^{6} e + 14 \, a^{5} b^{2} c^{4} d^{3} f^{6} e - 21 \, a^{6} b c^{3} d^{4} f^{6} e + 7 \, a^{7} c^{2} d^{5} f^{6} e + 24 \, b^{7} d^{7} f x^{4} e^{6} - 74 \, b^{7} c^{2} d^{5} f^{2} x^{3} e^{5} - 56 \, a b^{6} c d^{6} f^{2} x^{3} e^{5} - 74 \, a^{2} b^{5} d^{7} f^{2} x^{3} e^{5} + 32 \, b^{7} c^{4} d^{3} f^{3} x^{2} e^{4} + a b^{6} c^{3} d^{4} f^{3} x^{2} e^{4} + 234 \, a^{2} b^{5} c^{2} d^{5} f^{3} x^{2} e^{4} + a^{3} b^{4} c d^{6} f^{3} x^{2} e^{4} + 32 \, a^{4} b^{3} d^{7} f^{3} x^{2} e^{4} - 12 \, b^{7} c^{6} d f^{4} x e^{3} + 34 \, a b^{6} c^{5} d^{2} f^{4} x e^{3} - 52 \, a^{2} b^{5} c^{4} d^{3} f^{4} x e^{3} - 52 \, a^{4} b^{3} c^{2} d^{5} f^{4} x e^{3} + 34 \, a^{5} b^{2} c d^{6} f^{4} x e^{3} - 12 \, a^{6} b d^{7} f^{4} x e^{3} + 7 \, a b^{6} c^{7} f^{5} e^{2} - 26 \, a^{2} b^{5} c^{6} d f^{5} e^{2} + 52 \, a^{3} b^{4} c^{5} d^{2} f^{5} e^{2} - 78 \, a^{4} b^{3} c^{4} d^{3} f^{5} e^{2} + 52 \, a^{5} b^{2} c^{3} d^{4} f^{5} e^{2} - 26 \, a^{6} b c^{2} d^{5} f^{5} e^{2} + 7 \, a^{7} c d^{6} f^{5} e^{2} + 6 \, b^{7} c d^{6} f x^{3} e^{6} + 6 \, a b^{6} d^{7} f x^{3} e^{6} - 3 \, b^{7} c^{3} d^{4} f^{2} x^{2} e^{5} + 9 \, a b^{6} c^{2} d^{5} f^{2} x^{2} e^{5} + 9 \, a^{2} b^{5} c d^{6} f^{2} x^{2} e^{5} - 3 \, a^{3} b^{4} d^{7} f^{2} x^{2} e^{5} + 8 \, b^{7} c^{5} d^{2} f^{3} x e^{4} - 16 \, a b^{6} c^{4} d^{3} f^{3} x e^{4} - 52 \, a^{2} b^{5} c^{3} d^{4} f^{3} x e^{4} - 52 \, a^{3} b^{4} c^{2} d^{5} f^{3} x e^{4} - 16 \, a^{4} b^{3} c d^{6} f^{3} x e^{4} + 8 \, a^{5} b^{2} d^{7} f^{3} x e^{4} - b^{7} c^{7} f^{4} e^{3} - 21 \, a b^{6} c^{6} d f^{4} e^{3} + 52 \, a^{2} b^{5} c^{5} d^{2} f^{4} e^{3} + 52 \, a^{5} b^{2} c^{2} d^{5} f^{4} e^{3} - 21 \, a^{6} b c d^{6} f^{4} e^{3} - a^{7} d^{7} f^{4} e^{3} + 12 \, b^{7} d^{7} x^{3} e^{7} - 37 \, b^{7} c^{2} d^{5} f x^{2} e^{6} - 34 \, a b^{6} c d^{6} f x^{2} e^{6} - 37 \, a^{2} b^{5} d^{7} f x^{2} e^{6} + 8 \, b^{7} c^{4} d^{3} f^{2} x e^{5} + 34 \, a b^{6} c^{3} d^{4} f^{2} x e^{5} + 156 \, a^{2} b^{5} c^{2} d^{5} f^{2} x e^{5} + 34 \, a^{3} b^{4} c d^{6} f^{2} x e^{5} + 8 \, a^{4} b^{3} d^{7} f^{2} x e^{5} + 4 \, b^{7} c^{6} d f^{3} e^{4} + 14 \, a b^{6} c^{5} d^{2} f^{3} e^{4} - 78 \, a^{2} b^{5} c^{4} d^{3} f^{3} e^{4} - 78 \, a^{4} b^{3} c^{2} d^{5} f^{3} e^{4} + 14 \, a^{5} b^{2} c d^{6} f^{3} e^{4} + 4 \, a^{6} b d^{7} f^{3} e^{4} + 18 \, b^{7} c d^{6} x^{2} e^{7} + 18 \, a b^{6} d^{7} x^{2} e^{7} - 12 \, b^{7} c^{3} d^{4} f x e^{6} - 66 \, a b^{6} c^{2} d^{5} f x e^{6} - 66 \, a^{2} b^{5} c d^{6} f x e^{6} - 12 \, a^{3} b^{4} d^{7} f x e^{6} - 6 \, b^{7} c^{5} d^{2} f^{2} e^{5} + 14 \, a b^{6} c^{4} d^{3} f^{2} e^{5} + 52 \, a^{2} b^{5} c^{3} d^{4} f^{2} e^{5} + 52 \, a^{3} b^{4} c^{2} d^{5} f^{2} e^{5} + 14 \, a^{4} b^{3} c d^{6} f^{2} e^{5} - 6 \, a^{5} b^{2} d^{7} f^{2} e^{5} + 4 \, b^{7} c^{2} d^{5} x e^{7} + 28 \, a b^{6} c d^{6} x e^{7} + 4 \, a^{2} b^{5} d^{7} x e^{7} + 4 \, b^{7} c^{4} d^{3} f e^{6} - 21 \, a b^{6} c^{3} d^{4} f e^{6} - 26 \, a^{2} b^{5} c^{2} d^{5} f e^{6} - 21 \, a^{3} b^{4} c d^{6} f e^{6} + 4 \, a^{4} b^{3} d^{7} f e^{6} - b^{7} c^{3} d^{4} e^{7} + 7 \, a b^{6} c^{2} d^{5} e^{7} + 7 \, a^{2} b^{5} c d^{6} e^{7} - a^{3} b^{4} d^{7} e^{7}}{2 \, {\left(a^{4} b^{4} c^{8} f^{8} - 4 \, a^{5} b^{3} c^{7} d f^{8} + 6 \, a^{6} b^{2} c^{6} d^{2} f^{8} - 4 \, a^{7} b c^{5} d^{3} f^{8} + a^{8} c^{4} d^{4} f^{8} - 4 \, a^{3} b^{5} c^{8} f^{7} e + 12 \, a^{4} b^{4} c^{7} d f^{7} e - 8 \, a^{5} b^{3} c^{6} d^{2} f^{7} e - 8 \, a^{6} b^{2} c^{5} d^{3} f^{7} e + 12 \, a^{7} b c^{4} d^{4} f^{7} e - 4 \, a^{8} c^{3} d^{5} f^{7} e + 6 \, a^{2} b^{6} c^{8} f^{6} e^{2} - 8 \, a^{3} b^{5} c^{7} d f^{6} e^{2} - 22 \, a^{4} b^{4} c^{6} d^{2} f^{6} e^{2} + 48 \, a^{5} b^{3} c^{5} d^{3} f^{6} e^{2} - 22 \, a^{6} b^{2} c^{4} d^{4} f^{6} e^{2} - 8 \, a^{7} b c^{3} d^{5} f^{6} e^{2} + 6 \, a^{8} c^{2} d^{6} f^{6} e^{2} - 4 \, a b^{7} c^{8} f^{5} e^{3} - 8 \, a^{2} b^{6} c^{7} d f^{5} e^{3} + 48 \, a^{3} b^{5} c^{6} d^{2} f^{5} e^{3} - 36 \, a^{4} b^{4} c^{5} d^{3} f^{5} e^{3} - 36 \, a^{5} b^{3} c^{4} d^{4} f^{5} e^{3} + 48 \, a^{6} b^{2} c^{3} d^{5} f^{5} e^{3} - 8 \, a^{7} b c^{2} d^{6} f^{5} e^{3} - 4 \, a^{8} c d^{7} f^{5} e^{3} + b^{8} c^{8} f^{4} e^{4} + 12 \, a b^{7} c^{7} d f^{4} e^{4} - 22 \, a^{2} b^{6} c^{6} d^{2} f^{4} e^{4} - 36 \, a^{3} b^{5} c^{5} d^{3} f^{4} e^{4} + 90 \, a^{4} b^{4} c^{4} d^{4} f^{4} e^{4} - 36 \, a^{5} b^{3} c^{3} d^{5} f^{4} e^{4} - 22 \, a^{6} b^{2} c^{2} d^{6} f^{4} e^{4} + 12 \, a^{7} b c d^{7} f^{4} e^{4} + a^{8} d^{8} f^{4} e^{4} - 4 \, b^{8} c^{7} d f^{3} e^{5} - 8 \, a b^{7} c^{6} d^{2} f^{3} e^{5} + 48 \, a^{2} b^{6} c^{5} d^{3} f^{3} e^{5} - 36 \, a^{3} b^{5} c^{4} d^{4} f^{3} e^{5} - 36 \, a^{4} b^{4} c^{3} d^{5} f^{3} e^{5} + 48 \, a^{5} b^{3} c^{2} d^{6} f^{3} e^{5} - 8 \, a^{6} b^{2} c d^{7} f^{3} e^{5} - 4 \, a^{7} b d^{8} f^{3} e^{5} + 6 \, b^{8} c^{6} d^{2} f^{2} e^{6} - 8 \, a b^{7} c^{5} d^{3} f^{2} e^{6} - 22 \, a^{2} b^{6} c^{4} d^{4} f^{2} e^{6} + 48 \, a^{3} b^{5} c^{3} d^{5} f^{2} e^{6} - 22 \, a^{4} b^{4} c^{2} d^{6} f^{2} e^{6} - 8 \, a^{5} b^{3} c d^{7} f^{2} e^{6} + 6 \, a^{6} b^{2} d^{8} f^{2} e^{6} - 4 \, b^{8} c^{5} d^{3} f e^{7} + 12 \, a b^{7} c^{4} d^{4} f e^{7} - 8 \, a^{2} b^{6} c^{3} d^{5} f e^{7} - 8 \, a^{3} b^{5} c^{2} d^{6} f e^{7} + 12 \, a^{4} b^{4} c d^{7} f e^{7} - 4 \, a^{5} b^{3} d^{8} f e^{7} + b^{8} c^{4} d^{4} e^{8} - 4 \, a b^{7} c^{3} d^{5} e^{8} + 6 \, a^{2} b^{6} c^{2} d^{6} e^{8} - 4 \, a^{3} b^{5} c d^{7} e^{8} + a^{4} b^{4} d^{8} e^{8}\right)} {\left(b d f x^{3} + b c f x^{2} + a d f x^{2} + b d x^{2} e + a c f x + b c x e + a d x e + a c e\right)}^{2}}"," ",0,"-3*(2*b^8*c^2*f^2 - 7*a*b^7*c*d*f^2 + 7*a^2*b^6*d^2*f^2 + 3*b^8*c*d*f*e - 7*a*b^7*d^2*f*e + 2*b^8*d^2*e^2)*log(abs(b*x + a))/(a^5*b^6*c^5*f^5 - 5*a^6*b^5*c^4*d*f^5 + 10*a^7*b^4*c^3*d^2*f^5 - 10*a^8*b^3*c^2*d^3*f^5 + 5*a^9*b^2*c*d^4*f^5 - a^10*b*d^5*f^5 - 5*a^4*b^7*c^5*f^4*e + 25*a^5*b^6*c^4*d*f^4*e - 50*a^6*b^5*c^3*d^2*f^4*e + 50*a^7*b^4*c^2*d^3*f^4*e - 25*a^8*b^3*c*d^4*f^4*e + 5*a^9*b^2*d^5*f^4*e + 10*a^3*b^8*c^5*f^3*e^2 - 50*a^4*b^7*c^4*d*f^3*e^2 + 100*a^5*b^6*c^3*d^2*f^3*e^2 - 100*a^6*b^5*c^2*d^3*f^3*e^2 + 50*a^7*b^4*c*d^4*f^3*e^2 - 10*a^8*b^3*d^5*f^3*e^2 - 10*a^2*b^9*c^5*f^2*e^3 + 50*a^3*b^8*c^4*d*f^2*e^3 - 100*a^4*b^7*c^3*d^2*f^2*e^3 + 100*a^5*b^6*c^2*d^3*f^2*e^3 - 50*a^6*b^5*c*d^4*f^2*e^3 + 10*a^7*b^4*d^5*f^2*e^3 + 5*a*b^10*c^5*f*e^4 - 25*a^2*b^9*c^4*d*f*e^4 + 50*a^3*b^8*c^3*d^2*f*e^4 - 50*a^4*b^7*c^2*d^3*f*e^4 + 25*a^5*b^6*c*d^4*f*e^4 - 5*a^6*b^5*d^5*f*e^4 - b^11*c^5*e^5 + 5*a*b^10*c^4*d*e^5 - 10*a^2*b^9*c^3*d^2*e^5 + 10*a^3*b^8*c^2*d^3*e^5 - 5*a^4*b^7*c*d^4*e^5 + a^5*b^6*d^5*e^5) + 3*(7*b^2*c^2*d^6*f^2 - 7*a*b*c*d^7*f^2 + 2*a^2*d^8*f^2 - 7*b^2*c*d^7*f*e + 3*a*b*d^8*f*e + 2*b^2*d^8*e^2)*log(abs(d*x + c))/(b^5*c^10*d*f^5 - 5*a*b^4*c^9*d^2*f^5 + 10*a^2*b^3*c^8*d^3*f^5 - 10*a^3*b^2*c^7*d^4*f^5 + 5*a^4*b*c^6*d^5*f^5 - a^5*c^5*d^6*f^5 - 5*b^5*c^9*d^2*f^4*e + 25*a*b^4*c^8*d^3*f^4*e - 50*a^2*b^3*c^7*d^4*f^4*e + 50*a^3*b^2*c^6*d^5*f^4*e - 25*a^4*b*c^5*d^6*f^4*e + 5*a^5*c^4*d^7*f^4*e + 10*b^5*c^8*d^3*f^3*e^2 - 50*a*b^4*c^7*d^4*f^3*e^2 + 100*a^2*b^3*c^6*d^5*f^3*e^2 - 100*a^3*b^2*c^5*d^6*f^3*e^2 + 50*a^4*b*c^4*d^7*f^3*e^2 - 10*a^5*c^3*d^8*f^3*e^2 - 10*b^5*c^7*d^4*f^2*e^3 + 50*a*b^4*c^6*d^5*f^2*e^3 - 100*a^2*b^3*c^5*d^6*f^2*e^3 + 100*a^3*b^2*c^4*d^7*f^2*e^3 - 50*a^4*b*c^3*d^8*f^2*e^3 + 10*a^5*c^2*d^9*f^2*e^3 + 5*b^5*c^6*d^5*f*e^4 - 25*a*b^4*c^5*d^6*f*e^4 + 50*a^2*b^3*c^4*d^7*f*e^4 - 50*a^3*b^2*c^3*d^8*f*e^4 + 25*a^4*b*c^2*d^9*f*e^4 - 5*a^5*c*d^10*f*e^4 - b^5*c^5*d^6*e^5 + 5*a*b^4*c^4*d^7*e^5 - 10*a^2*b^3*c^3*d^8*e^5 + 10*a^3*b^2*c^2*d^9*e^5 - 5*a^4*b*c*d^10*e^5 + a^5*d^11*e^5) + 3*(2*b^2*c^2*f^8 + 3*a*b*c*d*f^8 + 2*a^2*d^2*f^8 - 7*b^2*c*d*f^7*e - 7*a*b*d^2*f^7*e + 7*b^2*d^2*f^6*e^2)*log(abs(f*x + e))/(a^5*c^5*f^11 - 5*a^4*b*c^5*f^10*e - 5*a^5*c^4*d*f^10*e + 10*a^3*b^2*c^5*f^9*e^2 + 25*a^4*b*c^4*d*f^9*e^2 + 10*a^5*c^3*d^2*f^9*e^2 - 10*a^2*b^3*c^5*f^8*e^3 - 50*a^3*b^2*c^4*d*f^8*e^3 - 50*a^4*b*c^3*d^2*f^8*e^3 - 10*a^5*c^2*d^3*f^8*e^3 + 5*a*b^4*c^5*f^7*e^4 + 50*a^2*b^3*c^4*d*f^7*e^4 + 100*a^3*b^2*c^3*d^2*f^7*e^4 + 50*a^4*b*c^2*d^3*f^7*e^4 + 5*a^5*c*d^4*f^7*e^4 - b^5*c^5*f^6*e^5 - 25*a*b^4*c^4*d*f^6*e^5 - 100*a^2*b^3*c^3*d^2*f^6*e^5 - 100*a^3*b^2*c^2*d^3*f^6*e^5 - 25*a^4*b*c*d^4*f^6*e^5 - a^5*d^5*f^6*e^5 + 5*b^5*c^4*d*f^5*e^6 + 50*a*b^4*c^3*d^2*f^5*e^6 + 100*a^2*b^3*c^2*d^3*f^5*e^6 + 50*a^3*b^2*c*d^4*f^5*e^6 + 5*a^4*b*d^5*f^5*e^6 - 10*b^5*c^3*d^2*f^4*e^7 - 50*a*b^4*c^2*d^3*f^4*e^7 - 50*a^2*b^3*c*d^4*f^4*e^7 - 10*a^3*b^2*d^5*f^4*e^7 + 10*b^5*c^2*d^3*f^3*e^8 + 25*a*b^4*c*d^4*f^3*e^8 + 10*a^2*b^3*d^5*f^3*e^8 - 5*b^5*c*d^4*f^2*e^9 - 5*a*b^4*d^5*f^2*e^9 + b^5*d^5*f*e^10) + 1/2*(12*b^7*c^5*d^2*f^7*x^5 - 30*a*b^6*c^4*d^3*f^7*x^5 + 12*a^2*b^5*c^3*d^4*f^7*x^5 + 12*a^3*b^4*c^2*d^5*f^7*x^5 - 30*a^4*b^3*c*d^6*f^7*x^5 + 12*a^5*b^2*d^7*f^7*x^5 - 30*b^7*c^4*d^3*f^6*x^5*e + 96*a*b^6*c^3*d^4*f^6*x^5*e - 72*a^2*b^5*c^2*d^5*f^6*x^5*e + 96*a^3*b^4*c*d^6*f^6*x^5*e - 30*a^4*b^3*d^7*f^6*x^5*e + 24*b^7*c^6*d*f^7*x^4 - 42*a*b^6*c^5*d^2*f^7*x^4 - 21*a^2*b^5*c^4*d^3*f^7*x^4 + 42*a^3*b^4*c^3*d^4*f^7*x^4 - 21*a^4*b^3*c^2*d^5*f^7*x^4 - 42*a^5*b^2*c*d^6*f^7*x^4 + 24*a^6*b*d^7*f^7*x^4 + 12*b^7*c^3*d^4*f^5*x^5*e^2 - 72*a*b^6*c^2*d^5*f^5*x^5*e^2 - 72*a^2*b^5*c*d^6*f^5*x^5*e^2 + 12*a^3*b^4*d^7*f^5*x^5*e^2 - 42*b^7*c^5*d^2*f^6*x^4*e + 102*a*b^6*c^4*d^3*f^6*x^4*e + 18*a^2*b^5*c^3*d^4*f^6*x^4*e + 18*a^3*b^4*c^2*d^5*f^6*x^4*e + 102*a^4*b^3*c*d^6*f^6*x^4*e - 42*a^5*b^2*d^7*f^6*x^4*e + 12*b^7*c^7*f^7*x^3 + 6*a*b^6*c^6*d*f^7*x^3 - 74*a^2*b^5*c^5*d^2*f^7*x^3 + 38*a^3*b^4*c^4*d^3*f^7*x^3 + 38*a^4*b^3*c^3*d^4*f^7*x^3 - 74*a^5*b^2*c^2*d^5*f^7*x^3 + 6*a^6*b*c*d^6*f^7*x^3 + 12*a^7*d^7*f^7*x^3 + 12*b^7*c^2*d^5*f^4*x^5*e^3 + 96*a*b^6*c*d^6*f^4*x^5*e^3 + 12*a^2*b^5*d^7*f^4*x^5*e^3 - 21*b^7*c^4*d^3*f^5*x^4*e^2 + 18*a*b^6*c^3*d^4*f^5*x^4*e^2 - 234*a^2*b^5*c^2*d^5*f^5*x^4*e^2 + 18*a^3*b^4*c*d^6*f^5*x^4*e^2 - 21*a^4*b^3*d^7*f^5*x^4*e^2 + 6*b^7*c^6*d*f^6*x^3*e - 56*a*b^6*c^5*d^2*f^6*x^3*e + 172*a^2*b^5*c^4*d^3*f^6*x^3*e - 136*a^3*b^4*c^3*d^4*f^6*x^3*e + 172*a^4*b^3*c^2*d^5*f^6*x^3*e - 56*a^5*b^2*c*d^6*f^6*x^3*e + 6*a^6*b*d^7*f^6*x^3*e + 18*a*b^6*c^7*f^7*x^2 - 37*a^2*b^5*c^6*d*f^7*x^2 - 3*a^3*b^4*c^5*d^2*f^7*x^2 + 32*a^4*b^3*c^4*d^3*f^7*x^2 - 3*a^5*b^2*c^3*d^4*f^7*x^2 - 37*a^6*b*c^2*d^5*f^7*x^2 + 18*a^7*c*d^6*f^7*x^2 - 30*b^7*c*d^6*f^3*x^5*e^4 - 30*a*b^6*d^7*f^3*x^5*e^4 + 42*b^7*c^3*d^4*f^4*x^4*e^3 + 18*a*b^6*c^2*d^5*f^4*x^4*e^3 + 18*a^2*b^5*c*d^6*f^4*x^4*e^3 + 42*a^3*b^4*d^7*f^4*x^4*e^3 - 74*b^7*c^5*d^2*f^5*x^3*e^2 + 172*a*b^6*c^4*d^3*f^5*x^3*e^2 - 104*a^2*b^5*c^3*d^4*f^5*x^3*e^2 - 104*a^3*b^4*c^2*d^5*f^5*x^3*e^2 + 172*a^4*b^3*c*d^6*f^5*x^3*e^2 - 74*a^5*b^2*d^7*f^5*x^3*e^2 + 18*b^7*c^7*f^6*x^2*e - 34*a*b^6*c^6*d*f^6*x^2*e + 9*a^2*b^5*c^5*d^2*f^6*x^2*e + a^3*b^4*c^4*d^3*f^6*x^2*e + a^4*b^3*c^3*d^4*f^6*x^2*e + 9*a^5*b^2*c^2*d^5*f^6*x^2*e - 34*a^6*b*c*d^6*f^6*x^2*e + 18*a^7*d^7*f^6*x^2*e + 4*a^2*b^5*c^7*f^7*x - 12*a^3*b^4*c^6*d*f^7*x + 8*a^4*b^3*c^5*d^2*f^7*x + 8*a^5*b^2*c^4*d^3*f^7*x - 12*a^6*b*c^3*d^4*f^7*x + 4*a^7*c^2*d^5*f^7*x + 12*b^7*d^7*f^2*x^5*e^5 - 21*b^7*c^2*d^5*f^3*x^4*e^4 + 102*a*b^6*c*d^6*f^3*x^4*e^4 - 21*a^2*b^5*d^7*f^3*x^4*e^4 + 38*b^7*c^4*d^3*f^4*x^3*e^3 - 136*a*b^6*c^3*d^4*f^4*x^3*e^3 - 104*a^2*b^5*c^2*d^5*f^4*x^3*e^3 - 136*a^3*b^4*c*d^6*f^4*x^3*e^3 + 38*a^4*b^3*d^7*f^4*x^3*e^3 - 37*b^7*c^6*d*f^5*x^2*e^2 + 9*a*b^6*c^5*d^2*f^5*x^2*e^2 + 234*a^2*b^5*c^4*d^3*f^5*x^2*e^2 - 208*a^3*b^4*c^3*d^4*f^5*x^2*e^2 + 234*a^4*b^3*c^2*d^5*f^5*x^2*e^2 + 9*a^5*b^2*c*d^6*f^5*x^2*e^2 - 37*a^6*b*d^7*f^5*x^2*e^2 + 28*a*b^6*c^7*f^6*x*e - 66*a^2*b^5*c^6*d*f^6*x*e + 34*a^3*b^4*c^5*d^2*f^6*x*e - 16*a^4*b^3*c^4*d^3*f^6*x*e + 34*a^5*b^2*c^3*d^4*f^6*x*e - 66*a^6*b*c^2*d^5*f^6*x*e + 28*a^7*c*d^6*f^6*x*e - a^3*b^4*c^7*f^7 + 4*a^4*b^3*c^6*d*f^7 - 6*a^5*b^2*c^5*d^2*f^7 + 4*a^6*b*c^4*d^3*f^7 - a^7*c^3*d^4*f^7 - 42*b^7*c*d^6*f^2*x^4*e^5 - 42*a*b^6*d^7*f^2*x^4*e^5 + 38*b^7*c^3*d^4*f^3*x^3*e^4 + 172*a*b^6*c^2*d^5*f^3*x^3*e^4 + 172*a^2*b^5*c*d^6*f^3*x^3*e^4 + 38*a^3*b^4*d^7*f^3*x^3*e^4 - 3*b^7*c^5*d^2*f^4*x^2*e^3 + a*b^6*c^4*d^3*f^4*x^2*e^3 - 208*a^2*b^5*c^3*d^4*f^4*x^2*e^3 - 208*a^3*b^4*c^2*d^5*f^4*x^2*e^3 + a^4*b^3*c*d^6*f^4*x^2*e^3 - 3*a^5*b^2*d^7*f^4*x^2*e^3 + 4*b^7*c^7*f^5*x*e^2 - 66*a*b^6*c^6*d*f^5*x*e^2 + 156*a^2*b^5*c^5*d^2*f^5*x*e^2 - 52*a^3*b^4*c^4*d^3*f^5*x*e^2 - 52*a^4*b^3*c^3*d^4*f^5*x*e^2 + 156*a^5*b^2*c^2*d^5*f^5*x*e^2 - 66*a^6*b*c*d^6*f^5*x*e^2 + 4*a^7*d^7*f^5*x*e^2 + 7*a^2*b^5*c^7*f^6*e - 21*a^3*b^4*c^6*d*f^6*e + 14*a^4*b^3*c^5*d^2*f^6*e + 14*a^5*b^2*c^4*d^3*f^6*e - 21*a^6*b*c^3*d^4*f^6*e + 7*a^7*c^2*d^5*f^6*e + 24*b^7*d^7*f*x^4*e^6 - 74*b^7*c^2*d^5*f^2*x^3*e^5 - 56*a*b^6*c*d^6*f^2*x^3*e^5 - 74*a^2*b^5*d^7*f^2*x^3*e^5 + 32*b^7*c^4*d^3*f^3*x^2*e^4 + a*b^6*c^3*d^4*f^3*x^2*e^4 + 234*a^2*b^5*c^2*d^5*f^3*x^2*e^4 + a^3*b^4*c*d^6*f^3*x^2*e^4 + 32*a^4*b^3*d^7*f^3*x^2*e^4 - 12*b^7*c^6*d*f^4*x*e^3 + 34*a*b^6*c^5*d^2*f^4*x*e^3 - 52*a^2*b^5*c^4*d^3*f^4*x*e^3 - 52*a^4*b^3*c^2*d^5*f^4*x*e^3 + 34*a^5*b^2*c*d^6*f^4*x*e^3 - 12*a^6*b*d^7*f^4*x*e^3 + 7*a*b^6*c^7*f^5*e^2 - 26*a^2*b^5*c^6*d*f^5*e^2 + 52*a^3*b^4*c^5*d^2*f^5*e^2 - 78*a^4*b^3*c^4*d^3*f^5*e^2 + 52*a^5*b^2*c^3*d^4*f^5*e^2 - 26*a^6*b*c^2*d^5*f^5*e^2 + 7*a^7*c*d^6*f^5*e^2 + 6*b^7*c*d^6*f*x^3*e^6 + 6*a*b^6*d^7*f*x^3*e^6 - 3*b^7*c^3*d^4*f^2*x^2*e^5 + 9*a*b^6*c^2*d^5*f^2*x^2*e^5 + 9*a^2*b^5*c*d^6*f^2*x^2*e^5 - 3*a^3*b^4*d^7*f^2*x^2*e^5 + 8*b^7*c^5*d^2*f^3*x*e^4 - 16*a*b^6*c^4*d^3*f^3*x*e^4 - 52*a^2*b^5*c^3*d^4*f^3*x*e^4 - 52*a^3*b^4*c^2*d^5*f^3*x*e^4 - 16*a^4*b^3*c*d^6*f^3*x*e^4 + 8*a^5*b^2*d^7*f^3*x*e^4 - b^7*c^7*f^4*e^3 - 21*a*b^6*c^6*d*f^4*e^3 + 52*a^2*b^5*c^5*d^2*f^4*e^3 + 52*a^5*b^2*c^2*d^5*f^4*e^3 - 21*a^6*b*c*d^6*f^4*e^3 - a^7*d^7*f^4*e^3 + 12*b^7*d^7*x^3*e^7 - 37*b^7*c^2*d^5*f*x^2*e^6 - 34*a*b^6*c*d^6*f*x^2*e^6 - 37*a^2*b^5*d^7*f*x^2*e^6 + 8*b^7*c^4*d^3*f^2*x*e^5 + 34*a*b^6*c^3*d^4*f^2*x*e^5 + 156*a^2*b^5*c^2*d^5*f^2*x*e^5 + 34*a^3*b^4*c*d^6*f^2*x*e^5 + 8*a^4*b^3*d^7*f^2*x*e^5 + 4*b^7*c^6*d*f^3*e^4 + 14*a*b^6*c^5*d^2*f^3*e^4 - 78*a^2*b^5*c^4*d^3*f^3*e^4 - 78*a^4*b^3*c^2*d^5*f^3*e^4 + 14*a^5*b^2*c*d^6*f^3*e^4 + 4*a^6*b*d^7*f^3*e^4 + 18*b^7*c*d^6*x^2*e^7 + 18*a*b^6*d^7*x^2*e^7 - 12*b^7*c^3*d^4*f*x*e^6 - 66*a*b^6*c^2*d^5*f*x*e^6 - 66*a^2*b^5*c*d^6*f*x*e^6 - 12*a^3*b^4*d^7*f*x*e^6 - 6*b^7*c^5*d^2*f^2*e^5 + 14*a*b^6*c^4*d^3*f^2*e^5 + 52*a^2*b^5*c^3*d^4*f^2*e^5 + 52*a^3*b^4*c^2*d^5*f^2*e^5 + 14*a^4*b^3*c*d^6*f^2*e^5 - 6*a^5*b^2*d^7*f^2*e^5 + 4*b^7*c^2*d^5*x*e^7 + 28*a*b^6*c*d^6*x*e^7 + 4*a^2*b^5*d^7*x*e^7 + 4*b^7*c^4*d^3*f*e^6 - 21*a*b^6*c^3*d^4*f*e^6 - 26*a^2*b^5*c^2*d^5*f*e^6 - 21*a^3*b^4*c*d^6*f*e^6 + 4*a^4*b^3*d^7*f*e^6 - b^7*c^3*d^4*e^7 + 7*a*b^6*c^2*d^5*e^7 + 7*a^2*b^5*c*d^6*e^7 - a^3*b^4*d^7*e^7)/((a^4*b^4*c^8*f^8 - 4*a^5*b^3*c^7*d*f^8 + 6*a^6*b^2*c^6*d^2*f^8 - 4*a^7*b*c^5*d^3*f^8 + a^8*c^4*d^4*f^8 - 4*a^3*b^5*c^8*f^7*e + 12*a^4*b^4*c^7*d*f^7*e - 8*a^5*b^3*c^6*d^2*f^7*e - 8*a^6*b^2*c^5*d^3*f^7*e + 12*a^7*b*c^4*d^4*f^7*e - 4*a^8*c^3*d^5*f^7*e + 6*a^2*b^6*c^8*f^6*e^2 - 8*a^3*b^5*c^7*d*f^6*e^2 - 22*a^4*b^4*c^6*d^2*f^6*e^2 + 48*a^5*b^3*c^5*d^3*f^6*e^2 - 22*a^6*b^2*c^4*d^4*f^6*e^2 - 8*a^7*b*c^3*d^5*f^6*e^2 + 6*a^8*c^2*d^6*f^6*e^2 - 4*a*b^7*c^8*f^5*e^3 - 8*a^2*b^6*c^7*d*f^5*e^3 + 48*a^3*b^5*c^6*d^2*f^5*e^3 - 36*a^4*b^4*c^5*d^3*f^5*e^3 - 36*a^5*b^3*c^4*d^4*f^5*e^3 + 48*a^6*b^2*c^3*d^5*f^5*e^3 - 8*a^7*b*c^2*d^6*f^5*e^3 - 4*a^8*c*d^7*f^5*e^3 + b^8*c^8*f^4*e^4 + 12*a*b^7*c^7*d*f^4*e^4 - 22*a^2*b^6*c^6*d^2*f^4*e^4 - 36*a^3*b^5*c^5*d^3*f^4*e^4 + 90*a^4*b^4*c^4*d^4*f^4*e^4 - 36*a^5*b^3*c^3*d^5*f^4*e^4 - 22*a^6*b^2*c^2*d^6*f^4*e^4 + 12*a^7*b*c*d^7*f^4*e^4 + a^8*d^8*f^4*e^4 - 4*b^8*c^7*d*f^3*e^5 - 8*a*b^7*c^6*d^2*f^3*e^5 + 48*a^2*b^6*c^5*d^3*f^3*e^5 - 36*a^3*b^5*c^4*d^4*f^3*e^5 - 36*a^4*b^4*c^3*d^5*f^3*e^5 + 48*a^5*b^3*c^2*d^6*f^3*e^5 - 8*a^6*b^2*c*d^7*f^3*e^5 - 4*a^7*b*d^8*f^3*e^5 + 6*b^8*c^6*d^2*f^2*e^6 - 8*a*b^7*c^5*d^3*f^2*e^6 - 22*a^2*b^6*c^4*d^4*f^2*e^6 + 48*a^3*b^5*c^3*d^5*f^2*e^6 - 22*a^4*b^4*c^2*d^6*f^2*e^6 - 8*a^5*b^3*c*d^7*f^2*e^6 + 6*a^6*b^2*d^8*f^2*e^6 - 4*b^8*c^5*d^3*f*e^7 + 12*a*b^7*c^4*d^4*f*e^7 - 8*a^2*b^6*c^3*d^5*f*e^7 - 8*a^3*b^5*c^2*d^6*f*e^7 + 12*a^4*b^4*c*d^7*f*e^7 - 4*a^5*b^3*d^8*f*e^7 + b^8*c^4*d^4*e^8 - 4*a*b^7*c^3*d^5*e^8 + 6*a^2*b^6*c^2*d^6*e^8 - 4*a^3*b^5*c*d^7*e^8 + a^4*b^4*d^8*e^8)*(b*d*f*x^3 + b*c*f*x^2 + a*d*f*x^2 + b*d*x^2*e + a*c*f*x + b*c*x*e + a*d*x*e + a*c*e)^2)","B",0
1717,1,250,0,1.397087," ","integrate((d*x+c)^(3/2)/(b*x+a)^2/(f*x+e),x, algorithm=""giac"")","-\frac{{\left(2 \, b^{2} c^{2} f - a b c d f - a^{2} d^{2} f - 3 \, b^{2} c d e + 3 \, a b d^{2} e\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{{\left(a^{2} b f^{2} - 2 \, a b^{2} f e + b^{3} e^{2}\right)} \sqrt{-b^{2} c + a b d}} + \frac{2 \, {\left(c^{2} f^{2} - 2 \, c d f e + d^{2} e^{2}\right)} \arctan\left(\frac{\sqrt{d x + c} f}{\sqrt{-c f^{2} + d f e}}\right)}{{\left(a^{2} f^{2} - 2 \, a b f e + b^{2} e^{2}\right)} \sqrt{-c f^{2} + d f e}} + \frac{\sqrt{d x + c} b c d - \sqrt{d x + c} a d^{2}}{{\left(a b f - b^{2} e\right)} {\left({\left(d x + c\right)} b - b c + a d\right)}}"," ",0,"-(2*b^2*c^2*f - a*b*c*d*f - a^2*d^2*f - 3*b^2*c*d*e + 3*a*b*d^2*e)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((a^2*b*f^2 - 2*a*b^2*f*e + b^3*e^2)*sqrt(-b^2*c + a*b*d)) + 2*(c^2*f^2 - 2*c*d*f*e + d^2*e^2)*arctan(sqrt(d*x + c)*f/sqrt(-c*f^2 + d*f*e))/((a^2*f^2 - 2*a*b*f*e + b^2*e^2)*sqrt(-c*f^2 + d*f*e)) + (sqrt(d*x + c)*b*c*d - sqrt(d*x + c)*a*d^2)/((a*b*f - b^2*e)*((d*x + c)*b - b*c + a*d))","A",0
1718,1,1108,0,1.370277," ","integrate((b*x+a)*(B*x+A)*(e*x+d)^(7/2),x, algorithm=""giac"")","\frac{2}{45045} \, {\left(15015 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a d^{4} e^{\left(-1\right)} + 15015 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A b d^{4} e^{\left(-1\right)} + 3003 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B b d^{4} e^{\left(-2\right)} + 12012 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a d^{3} e^{\left(-1\right)} + 12012 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A b d^{3} e^{\left(-1\right)} + 5148 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B b d^{3} e^{\left(-2\right)} + 45045 \, \sqrt{x e + d} A a d^{4} + 60060 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a d^{3} + 7722 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a d^{2} e^{\left(-1\right)} + 7722 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A b d^{2} e^{\left(-1\right)} + 858 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B b d^{2} e^{\left(-2\right)} + 18018 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a d^{2} + 572 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a d e^{\left(-1\right)} + 572 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A b d e^{\left(-1\right)} + 260 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B b d e^{\left(-2\right)} + 5148 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a d + 65 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B a e^{\left(-1\right)} + 65 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} A b e^{\left(-1\right)} + 15 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} B b e^{\left(-2\right)} + 143 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A a\right)} e^{\left(-1\right)}"," ",0,"2/45045*(15015*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a*d^4*e^(-1) + 15015*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*b*d^4*e^(-1) + 3003*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*b*d^4*e^(-2) + 12012*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a*d^3*e^(-1) + 12012*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*b*d^3*e^(-1) + 5148*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*b*d^3*e^(-2) + 45045*sqrt(x*e + d)*A*a*d^4 + 60060*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a*d^3 + 7722*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a*d^2*e^(-1) + 7722*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*b*d^2*e^(-1) + 858*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*b*d^2*e^(-2) + 18018*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a*d^2 + 572*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a*d*e^(-1) + 572*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*b*d*e^(-1) + 260*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*b*d*e^(-2) + 5148*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a*d + 65*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*a*e^(-1) + 65*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*A*b*e^(-1) + 15*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*B*b*e^(-2) + 143*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*a)*e^(-1)","B",0
1719,1,778,0,1.350295," ","integrate((b*x+a)*(B*x+A)*(e*x+d)^(5/2),x, algorithm=""giac"")","\frac{2}{3465} \, {\left(1155 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a d^{3} e^{\left(-1\right)} + 1155 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A b d^{3} e^{\left(-1\right)} + 231 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B b d^{3} e^{\left(-2\right)} + 693 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a d^{2} e^{\left(-1\right)} + 693 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A b d^{2} e^{\left(-1\right)} + 297 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B b d^{2} e^{\left(-2\right)} + 3465 \, \sqrt{x e + d} A a d^{3} + 3465 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a d^{2} + 297 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a d e^{\left(-1\right)} + 297 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A b d e^{\left(-1\right)} + 33 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B b d e^{\left(-2\right)} + 693 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a d + 11 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a e^{\left(-1\right)} + 11 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A b e^{\left(-1\right)} + 5 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B b e^{\left(-2\right)} + 99 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a\right)} e^{\left(-1\right)}"," ",0,"2/3465*(1155*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a*d^3*e^(-1) + 1155*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*b*d^3*e^(-1) + 231*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*b*d^3*e^(-2) + 693*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a*d^2*e^(-1) + 693*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*b*d^2*e^(-1) + 297*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*b*d^2*e^(-2) + 3465*sqrt(x*e + d)*A*a*d^3 + 3465*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a*d^2 + 297*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a*d*e^(-1) + 297*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*b*d*e^(-1) + 33*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*b*d*e^(-2) + 693*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a*d + 11*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a*e^(-1) + 11*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*b*e^(-1) + 5*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*b*e^(-2) + 99*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a)*e^(-1)","B",0
1720,1,499,0,1.195549," ","integrate((b*x+a)*(B*x+A)*(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{2}{315} \, {\left(105 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a d^{2} e^{\left(-1\right)} + 105 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A b d^{2} e^{\left(-1\right)} + 21 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B b d^{2} e^{\left(-2\right)} + 42 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a d e^{\left(-1\right)} + 42 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A b d e^{\left(-1\right)} + 18 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B b d e^{\left(-2\right)} + 315 \, \sqrt{x e + d} A a d^{2} + 210 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a d + 9 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a e^{\left(-1\right)} + 9 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A b e^{\left(-1\right)} + {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B b e^{\left(-2\right)} + 21 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a\right)} e^{\left(-1\right)}"," ",0,"2/315*(105*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a*d^2*e^(-1) + 105*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*b*d^2*e^(-1) + 21*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*b*d^2*e^(-2) + 42*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a*d*e^(-1) + 42*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*b*d*e^(-1) + 18*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*b*d*e^(-2) + 315*sqrt(x*e + d)*A*a*d^2 + 210*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a*d + 9*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a*e^(-1) + 9*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*b*e^(-1) + (35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*b*e^(-2) + 21*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a)*e^(-1)","B",0
1721,1,274,0,1.208413," ","integrate((b*x+a)*(B*x+A)*(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{2}{105} \, {\left(35 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a d e^{\left(-1\right)} + 35 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A b d e^{\left(-1\right)} + 7 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B b d e^{\left(-2\right)} + 7 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a e^{\left(-1\right)} + 7 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A b e^{\left(-1\right)} + 3 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B b e^{\left(-2\right)} + 105 \, \sqrt{x e + d} A a d + 35 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a\right)} e^{\left(-1\right)}"," ",0,"2/105*(35*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a*d*e^(-1) + 35*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*b*d*e^(-1) + 7*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*b*d*e^(-2) + 7*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a*e^(-1) + 7*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*b*e^(-1) + 3*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*b*e^(-2) + 105*sqrt(x*e + d)*A*a*d + 35*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a)*e^(-1)","B",0
1722,1,109,0,1.201122," ","integrate((b*x+a)*(B*x+A)/(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{2}{15} \, {\left(5 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a e^{\left(-1\right)} + 5 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A b e^{\left(-1\right)} + {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B b e^{\left(-2\right)} + 15 \, \sqrt{x e + d} A a\right)} e^{\left(-1\right)}"," ",0,"2/15*(5*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a*e^(-1) + 5*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*b*e^(-1) + (3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*b*e^(-2) + 15*sqrt(x*e + d)*A*a)*e^(-1)","A",0
1723,1,100,0,1.243448," ","integrate((b*x+a)*(B*x+A)/(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{2}{3} \, {\left({\left(x e + d\right)}^{\frac{3}{2}} B b e^{6} - 6 \, \sqrt{x e + d} B b d e^{6} + 3 \, \sqrt{x e + d} B a e^{7} + 3 \, \sqrt{x e + d} A b e^{7}\right)} e^{\left(-9\right)} - \frac{2 \, {\left(B b d^{2} - B a d e - A b d e + A a e^{2}\right)} e^{\left(-3\right)}}{\sqrt{x e + d}}"," ",0,"2/3*((x*e + d)^(3/2)*B*b*e^6 - 6*sqrt(x*e + d)*B*b*d*e^6 + 3*sqrt(x*e + d)*B*a*e^7 + 3*sqrt(x*e + d)*A*b*e^7)*e^(-9) - 2*(B*b*d^2 - B*a*d*e - A*b*d*e + A*a*e^2)*e^(-3)/sqrt(x*e + d)","A",0
1724,1,88,0,1.235889," ","integrate((b*x+a)*(B*x+A)/(e*x+d)^(5/2),x, algorithm=""giac"")","2 \, \sqrt{x e + d} B b e^{\left(-3\right)} + \frac{2 \, {\left(6 \, {\left(x e + d\right)} B b d - B b d^{2} - 3 \, {\left(x e + d\right)} B a e - 3 \, {\left(x e + d\right)} A b e + B a d e + A b d e - A a e^{2}\right)} e^{\left(-3\right)}}{3 \, {\left(x e + d\right)}^{\frac{3}{2}}}"," ",0,"2*sqrt(x*e + d)*B*b*e^(-3) + 2/3*(6*(x*e + d)*B*b*d - B*b*d^2 - 3*(x*e + d)*B*a*e - 3*(x*e + d)*A*b*e + B*a*d*e + A*b*d*e - A*a*e^2)*e^(-3)/(x*e + d)^(3/2)","A",0
1725,1,87,0,1.298011," ","integrate((b*x+a)*(B*x+A)/(e*x+d)^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, {\left(x e + d\right)}^{2} B b - 10 \, {\left(x e + d\right)} B b d + 3 \, B b d^{2} + 5 \, {\left(x e + d\right)} B a e + 5 \, {\left(x e + d\right)} A b e - 3 \, B a d e - 3 \, A b d e + 3 \, A a e^{2}\right)} e^{\left(-3\right)}}{15 \, {\left(x e + d\right)}^{\frac{5}{2}}}"," ",0,"-2/15*(15*(x*e + d)^2*B*b - 10*(x*e + d)*B*b*d + 3*B*b*d^2 + 5*(x*e + d)*B*a*e + 5*(x*e + d)*A*b*e - 3*B*a*d*e - 3*A*b*d*e + 3*A*a*e^2)*e^(-3)/(x*e + d)^(5/2)","A",0
1726,1,1913,0,1.487678," ","integrate((b*x+a)^2*(B*x+A)*(e*x+d)^(7/2),x, algorithm=""giac"")","\frac{2}{45045} \, {\left(15015 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a^{2} d^{4} e^{\left(-1\right)} + 30030 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a b d^{4} e^{\left(-1\right)} + 6006 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a b d^{4} e^{\left(-2\right)} + 3003 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A b^{2} d^{4} e^{\left(-2\right)} + 1287 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B b^{2} d^{4} e^{\left(-3\right)} + 12012 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{2} d^{3} e^{\left(-1\right)} + 24024 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a b d^{3} e^{\left(-1\right)} + 10296 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a b d^{3} e^{\left(-2\right)} + 5148 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A b^{2} d^{3} e^{\left(-2\right)} + 572 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B b^{2} d^{3} e^{\left(-3\right)} + 45045 \, \sqrt{x e + d} A a^{2} d^{4} + 60060 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{2} d^{3} + 7722 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a^{2} d^{2} e^{\left(-1\right)} + 15444 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a b d^{2} e^{\left(-1\right)} + 1716 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a b d^{2} e^{\left(-2\right)} + 858 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A b^{2} d^{2} e^{\left(-2\right)} + 390 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B b^{2} d^{2} e^{\left(-3\right)} + 18018 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a^{2} d^{2} + 572 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a^{2} d e^{\left(-1\right)} + 1144 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A a b d e^{\left(-1\right)} + 520 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B a b d e^{\left(-2\right)} + 260 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} A b^{2} d e^{\left(-2\right)} + 60 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} B b^{2} d e^{\left(-3\right)} + 5148 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a^{2} d + 65 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B a^{2} e^{\left(-1\right)} + 130 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} A a b e^{\left(-1\right)} + 30 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} B a b e^{\left(-2\right)} + 15 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} A b^{2} e^{\left(-2\right)} + 7 \, {\left(429 \, {\left(x e + d\right)}^{\frac{15}{2}} - 3465 \, {\left(x e + d\right)}^{\frac{13}{2}} d + 12285 \, {\left(x e + d\right)}^{\frac{11}{2}} d^{2} - 25025 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{3} + 32175 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{4} - 27027 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{5} + 15015 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{6} - 6435 \, \sqrt{x e + d} d^{7}\right)} B b^{2} e^{\left(-3\right)} + 143 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A a^{2}\right)} e^{\left(-1\right)}"," ",0,"2/45045*(15015*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a^2*d^4*e^(-1) + 30030*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a*b*d^4*e^(-1) + 6006*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a*b*d^4*e^(-2) + 3003*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*b^2*d^4*e^(-2) + 1287*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*b^2*d^4*e^(-3) + 12012*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^2*d^3*e^(-1) + 24024*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a*b*d^3*e^(-1) + 10296*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a*b*d^3*e^(-2) + 5148*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*b^2*d^3*e^(-2) + 572*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*b^2*d^3*e^(-3) + 45045*sqrt(x*e + d)*A*a^2*d^4 + 60060*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^2*d^3 + 7722*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a^2*d^2*e^(-1) + 15444*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a*b*d^2*e^(-1) + 1716*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a*b*d^2*e^(-2) + 858*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*b^2*d^2*e^(-2) + 390*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*b^2*d^2*e^(-3) + 18018*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a^2*d^2 + 572*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a^2*d*e^(-1) + 1144*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*a*b*d*e^(-1) + 520*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*a*b*d*e^(-2) + 260*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*A*b^2*d*e^(-2) + 60*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*B*b^2*d*e^(-3) + 5148*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a^2*d + 65*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*a^2*e^(-1) + 130*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*A*a*b*e^(-1) + 30*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*B*a*b*e^(-2) + 15*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*A*b^2*e^(-2) + 7*(429*(x*e + d)^(15/2) - 3465*(x*e + d)^(13/2)*d + 12285*(x*e + d)^(11/2)*d^2 - 25025*(x*e + d)^(9/2)*d^3 + 32175*(x*e + d)^(7/2)*d^4 - 27027*(x*e + d)^(5/2)*d^5 + 15015*(x*e + d)^(3/2)*d^6 - 6435*sqrt(x*e + d)*d^7)*B*b^2*e^(-3) + 143*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*a^2)*e^(-1)","B",0
1727,1,1368,0,1.431364," ","integrate((b*x+a)^2*(B*x+A)*(e*x+d)^(5/2),x, algorithm=""giac"")","\frac{2}{45045} \, {\left(15015 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a^{2} d^{3} e^{\left(-1\right)} + 30030 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a b d^{3} e^{\left(-1\right)} + 6006 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a b d^{3} e^{\left(-2\right)} + 3003 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A b^{2} d^{3} e^{\left(-2\right)} + 1287 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B b^{2} d^{3} e^{\left(-3\right)} + 9009 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{2} d^{2} e^{\left(-1\right)} + 18018 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a b d^{2} e^{\left(-1\right)} + 7722 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a b d^{2} e^{\left(-2\right)} + 3861 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A b^{2} d^{2} e^{\left(-2\right)} + 429 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B b^{2} d^{2} e^{\left(-3\right)} + 45045 \, \sqrt{x e + d} A a^{2} d^{3} + 45045 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{2} d^{2} + 3861 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a^{2} d e^{\left(-1\right)} + 7722 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a b d e^{\left(-1\right)} + 858 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a b d e^{\left(-2\right)} + 429 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A b^{2} d e^{\left(-2\right)} + 195 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B b^{2} d e^{\left(-3\right)} + 9009 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a^{2} d + 143 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a^{2} e^{\left(-1\right)} + 286 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A a b e^{\left(-1\right)} + 130 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B a b e^{\left(-2\right)} + 65 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} A b^{2} e^{\left(-2\right)} + 15 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} B b^{2} e^{\left(-3\right)} + 1287 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a^{2}\right)} e^{\left(-1\right)}"," ",0,"2/45045*(15015*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a^2*d^3*e^(-1) + 30030*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a*b*d^3*e^(-1) + 6006*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a*b*d^3*e^(-2) + 3003*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*b^2*d^3*e^(-2) + 1287*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*b^2*d^3*e^(-3) + 9009*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^2*d^2*e^(-1) + 18018*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a*b*d^2*e^(-1) + 7722*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a*b*d^2*e^(-2) + 3861*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*b^2*d^2*e^(-2) + 429*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*b^2*d^2*e^(-3) + 45045*sqrt(x*e + d)*A*a^2*d^3 + 45045*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^2*d^2 + 3861*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a^2*d*e^(-1) + 7722*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a*b*d*e^(-1) + 858*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a*b*d*e^(-2) + 429*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*b^2*d*e^(-2) + 195*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*b^2*d*e^(-3) + 9009*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a^2*d + 143*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a^2*e^(-1) + 286*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*a*b*e^(-1) + 130*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*a*b*e^(-2) + 65*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*A*b^2*e^(-2) + 15*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*B*b^2*e^(-3) + 1287*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a^2)*e^(-1)","B",0
1728,1,901,0,1.638497," ","integrate((b*x+a)^2*(B*x+A)*(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{2}{3465} \, {\left(1155 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a^{2} d^{2} e^{\left(-1\right)} + 2310 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a b d^{2} e^{\left(-1\right)} + 462 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a b d^{2} e^{\left(-2\right)} + 231 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A b^{2} d^{2} e^{\left(-2\right)} + 99 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B b^{2} d^{2} e^{\left(-3\right)} + 462 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{2} d e^{\left(-1\right)} + 924 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a b d e^{\left(-1\right)} + 396 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a b d e^{\left(-2\right)} + 198 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A b^{2} d e^{\left(-2\right)} + 22 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B b^{2} d e^{\left(-3\right)} + 3465 \, \sqrt{x e + d} A a^{2} d^{2} + 2310 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{2} d + 99 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a^{2} e^{\left(-1\right)} + 198 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a b e^{\left(-1\right)} + 22 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a b e^{\left(-2\right)} + 11 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A b^{2} e^{\left(-2\right)} + 5 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B b^{2} e^{\left(-3\right)} + 231 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a^{2}\right)} e^{\left(-1\right)}"," ",0,"2/3465*(1155*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a^2*d^2*e^(-1) + 2310*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a*b*d^2*e^(-1) + 462*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a*b*d^2*e^(-2) + 231*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*b^2*d^2*e^(-2) + 99*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*b^2*d^2*e^(-3) + 462*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^2*d*e^(-1) + 924*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a*b*d*e^(-1) + 396*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a*b*d*e^(-2) + 198*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*b^2*d*e^(-2) + 22*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*b^2*d*e^(-3) + 3465*sqrt(x*e + d)*A*a^2*d^2 + 2310*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^2*d + 99*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a^2*e^(-1) + 198*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a*b*e^(-1) + 22*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a*b*e^(-2) + 11*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*b^2*e^(-2) + 5*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*b^2*e^(-3) + 231*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a^2)*e^(-1)","B",0
1729,1,511,0,1.675447," ","integrate((b*x+a)^2*(B*x+A)*(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{2}{315} \, {\left(105 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a^{2} d e^{\left(-1\right)} + 210 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a b d e^{\left(-1\right)} + 42 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a b d e^{\left(-2\right)} + 21 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A b^{2} d e^{\left(-2\right)} + 9 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B b^{2} d e^{\left(-3\right)} + 21 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{2} e^{\left(-1\right)} + 42 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a b e^{\left(-1\right)} + 18 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a b e^{\left(-2\right)} + 9 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A b^{2} e^{\left(-2\right)} + {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B b^{2} e^{\left(-3\right)} + 315 \, \sqrt{x e + d} A a^{2} d + 105 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{2}\right)} e^{\left(-1\right)}"," ",0,"2/315*(105*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a^2*d*e^(-1) + 210*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a*b*d*e^(-1) + 42*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a*b*d*e^(-2) + 21*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*b^2*d*e^(-2) + 9*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*b^2*d*e^(-3) + 21*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^2*e^(-1) + 42*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a*b*e^(-1) + 18*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a*b*e^(-2) + 9*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*b^2*e^(-2) + (35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*b^2*e^(-3) + 315*sqrt(x*e + d)*A*a^2*d + 105*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^2)*e^(-1)","B",0
1730,1,215,0,1.559726," ","integrate((b*x+a)^2*(B*x+A)/(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{2}{105} \, {\left(35 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a^{2} e^{\left(-1\right)} + 70 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a b e^{\left(-1\right)} + 14 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a b e^{\left(-2\right)} + 7 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A b^{2} e^{\left(-2\right)} + 3 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B b^{2} e^{\left(-3\right)} + 105 \, \sqrt{x e + d} A a^{2}\right)} e^{\left(-1\right)}"," ",0,"2/105*(35*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a^2*e^(-1) + 70*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a*b*e^(-1) + 14*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a*b*e^(-2) + 7*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*b^2*e^(-2) + 3*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*b^2*e^(-3) + 105*sqrt(x*e + d)*A*a^2)*e^(-1)","A",0
1731,1,219,0,1.337378," ","integrate((b*x+a)^2*(B*x+A)/(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{2}{15} \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} B b^{2} e^{16} - 15 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{2} d e^{16} + 45 \, \sqrt{x e + d} B b^{2} d^{2} e^{16} + 10 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b e^{17} + 5 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{2} e^{17} - 60 \, \sqrt{x e + d} B a b d e^{17} - 30 \, \sqrt{x e + d} A b^{2} d e^{17} + 15 \, \sqrt{x e + d} B a^{2} e^{18} + 30 \, \sqrt{x e + d} A a b e^{18}\right)} e^{\left(-20\right)} + \frac{2 \, {\left(B b^{2} d^{3} - 2 \, B a b d^{2} e - A b^{2} d^{2} e + B a^{2} d e^{2} + 2 \, A a b d e^{2} - A a^{2} e^{3}\right)} e^{\left(-4\right)}}{\sqrt{x e + d}}"," ",0,"2/15*(3*(x*e + d)^(5/2)*B*b^2*e^16 - 15*(x*e + d)^(3/2)*B*b^2*d*e^16 + 45*sqrt(x*e + d)*B*b^2*d^2*e^16 + 10*(x*e + d)^(3/2)*B*a*b*e^17 + 5*(x*e + d)^(3/2)*A*b^2*e^17 - 60*sqrt(x*e + d)*B*a*b*d*e^17 - 30*sqrt(x*e + d)*A*b^2*d*e^17 + 15*sqrt(x*e + d)*B*a^2*e^18 + 30*sqrt(x*e + d)*A*a*b*e^18)*e^(-20) + 2*(B*b^2*d^3 - 2*B*a*b*d^2*e - A*b^2*d^2*e + B*a^2*d*e^2 + 2*A*a*b*d*e^2 - A*a^2*e^3)*e^(-4)/sqrt(x*e + d)","A",0
1732,1,206,0,1.257392," ","integrate((b*x+a)^2*(B*x+A)/(e*x+d)^(5/2),x, algorithm=""giac"")","\frac{2}{3} \, {\left({\left(x e + d\right)}^{\frac{3}{2}} B b^{2} e^{8} - 9 \, \sqrt{x e + d} B b^{2} d e^{8} + 6 \, \sqrt{x e + d} B a b e^{9} + 3 \, \sqrt{x e + d} A b^{2} e^{9}\right)} e^{\left(-12\right)} - \frac{2 \, {\left(9 \, {\left(x e + d\right)} B b^{2} d^{2} - B b^{2} d^{3} - 12 \, {\left(x e + d\right)} B a b d e - 6 \, {\left(x e + d\right)} A b^{2} d e + 2 \, B a b d^{2} e + A b^{2} d^{2} e + 3 \, {\left(x e + d\right)} B a^{2} e^{2} + 6 \, {\left(x e + d\right)} A a b e^{2} - B a^{2} d e^{2} - 2 \, A a b d e^{2} + A a^{2} e^{3}\right)} e^{\left(-4\right)}}{3 \, {\left(x e + d\right)}^{\frac{3}{2}}}"," ",0,"2/3*((x*e + d)^(3/2)*B*b^2*e^8 - 9*sqrt(x*e + d)*B*b^2*d*e^8 + 6*sqrt(x*e + d)*B*a*b*e^9 + 3*sqrt(x*e + d)*A*b^2*e^9)*e^(-12) - 2/3*(9*(x*e + d)*B*b^2*d^2 - B*b^2*d^3 - 12*(x*e + d)*B*a*b*d*e - 6*(x*e + d)*A*b^2*d*e + 2*B*a*b*d^2*e + A*b^2*d^2*e + 3*(x*e + d)*B*a^2*e^2 + 6*(x*e + d)*A*a*b*e^2 - B*a^2*d*e^2 - 2*A*a*b*d*e^2 + A*a^2*e^3)*e^(-4)/(x*e + d)^(3/2)","A",0
1733,1,202,0,1.311733," ","integrate((b*x+a)^2*(B*x+A)/(e*x+d)^(7/2),x, algorithm=""giac"")","2 \, \sqrt{x e + d} B b^{2} e^{\left(-4\right)} + \frac{2 \, {\left(45 \, {\left(x e + d\right)}^{2} B b^{2} d - 15 \, {\left(x e + d\right)} B b^{2} d^{2} + 3 \, B b^{2} d^{3} - 30 \, {\left(x e + d\right)}^{2} B a b e - 15 \, {\left(x e + d\right)}^{2} A b^{2} e + 20 \, {\left(x e + d\right)} B a b d e + 10 \, {\left(x e + d\right)} A b^{2} d e - 6 \, B a b d^{2} e - 3 \, A b^{2} d^{2} e - 5 \, {\left(x e + d\right)} B a^{2} e^{2} - 10 \, {\left(x e + d\right)} A a b e^{2} + 3 \, B a^{2} d e^{2} + 6 \, A a b d e^{2} - 3 \, A a^{2} e^{3}\right)} e^{\left(-4\right)}}{15 \, {\left(x e + d\right)}^{\frac{5}{2}}}"," ",0,"2*sqrt(x*e + d)*B*b^2*e^(-4) + 2/15*(45*(x*e + d)^2*B*b^2*d - 15*(x*e + d)*B*b^2*d^2 + 3*B*b^2*d^3 - 30*(x*e + d)^2*B*a*b*e - 15*(x*e + d)^2*A*b^2*e + 20*(x*e + d)*B*a*b*d*e + 10*(x*e + d)*A*b^2*d*e - 6*B*a*b*d^2*e - 3*A*b^2*d^2*e - 5*(x*e + d)*B*a^2*e^2 - 10*(x*e + d)*A*a*b*e^2 + 3*B*a^2*d*e^2 + 6*A*a*b*d*e^2 - 3*A*a^2*e^3)*e^(-4)/(x*e + d)^(5/2)","A",0
1734,1,2848,0,1.724061," ","integrate((b*x+a)^3*(B*x+A)*(e*x+d)^(7/2),x, algorithm=""giac"")","\frac{2}{765765} \, {\left(255255 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a^{3} d^{4} e^{\left(-1\right)} + 765765 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{2} b d^{4} e^{\left(-1\right)} + 153153 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{2} b d^{4} e^{\left(-2\right)} + 153153 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a b^{2} d^{4} e^{\left(-2\right)} + 65637 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a b^{2} d^{4} e^{\left(-3\right)} + 21879 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A b^{3} d^{4} e^{\left(-3\right)} + 2431 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B b^{3} d^{4} e^{\left(-4\right)} + 204204 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{3} d^{3} e^{\left(-1\right)} + 612612 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a^{2} b d^{3} e^{\left(-1\right)} + 262548 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a^{2} b d^{3} e^{\left(-2\right)} + 262548 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a b^{2} d^{3} e^{\left(-2\right)} + 29172 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a b^{2} d^{3} e^{\left(-3\right)} + 9724 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A b^{3} d^{3} e^{\left(-3\right)} + 4420 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B b^{3} d^{3} e^{\left(-4\right)} + 765765 \, \sqrt{x e + d} A a^{3} d^{4} + 1021020 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{3} d^{3} + 131274 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a^{3} d^{2} e^{\left(-1\right)} + 393822 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a^{2} b d^{2} e^{\left(-1\right)} + 43758 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a^{2} b d^{2} e^{\left(-2\right)} + 43758 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A a b^{2} d^{2} e^{\left(-2\right)} + 19890 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B a b^{2} d^{2} e^{\left(-3\right)} + 6630 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} A b^{3} d^{2} e^{\left(-3\right)} + 1530 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} B b^{3} d^{2} e^{\left(-4\right)} + 306306 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a^{3} d^{2} + 9724 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a^{3} d e^{\left(-1\right)} + 29172 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A a^{2} b d e^{\left(-1\right)} + 13260 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B a^{2} b d e^{\left(-2\right)} + 13260 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} A a b^{2} d e^{\left(-2\right)} + 3060 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} B a b^{2} d e^{\left(-3\right)} + 1020 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} A b^{3} d e^{\left(-3\right)} + 476 \, {\left(429 \, {\left(x e + d\right)}^{\frac{15}{2}} - 3465 \, {\left(x e + d\right)}^{\frac{13}{2}} d + 12285 \, {\left(x e + d\right)}^{\frac{11}{2}} d^{2} - 25025 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{3} + 32175 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{4} - 27027 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{5} + 15015 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{6} - 6435 \, \sqrt{x e + d} d^{7}\right)} B b^{3} d e^{\left(-4\right)} + 87516 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a^{3} d + 1105 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B a^{3} e^{\left(-1\right)} + 3315 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} A a^{2} b e^{\left(-1\right)} + 765 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} B a^{2} b e^{\left(-2\right)} + 765 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} A a b^{2} e^{\left(-2\right)} + 357 \, {\left(429 \, {\left(x e + d\right)}^{\frac{15}{2}} - 3465 \, {\left(x e + d\right)}^{\frac{13}{2}} d + 12285 \, {\left(x e + d\right)}^{\frac{11}{2}} d^{2} - 25025 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{3} + 32175 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{4} - 27027 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{5} + 15015 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{6} - 6435 \, \sqrt{x e + d} d^{7}\right)} B a b^{2} e^{\left(-3\right)} + 119 \, {\left(429 \, {\left(x e + d\right)}^{\frac{15}{2}} - 3465 \, {\left(x e + d\right)}^{\frac{13}{2}} d + 12285 \, {\left(x e + d\right)}^{\frac{11}{2}} d^{2} - 25025 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{3} + 32175 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{4} - 27027 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{5} + 15015 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{6} - 6435 \, \sqrt{x e + d} d^{7}\right)} A b^{3} e^{\left(-3\right)} + 7 \, {\left(6435 \, {\left(x e + d\right)}^{\frac{17}{2}} - 58344 \, {\left(x e + d\right)}^{\frac{15}{2}} d + 235620 \, {\left(x e + d\right)}^{\frac{13}{2}} d^{2} - 556920 \, {\left(x e + d\right)}^{\frac{11}{2}} d^{3} + 850850 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{4} - 875160 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{5} + 612612 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{6} - 291720 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{7} + 109395 \, \sqrt{x e + d} d^{8}\right)} B b^{3} e^{\left(-4\right)} + 2431 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A a^{3}\right)} e^{\left(-1\right)}"," ",0,"2/765765*(255255*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a^3*d^4*e^(-1) + 765765*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^2*b*d^4*e^(-1) + 153153*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^2*b*d^4*e^(-2) + 153153*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a*b^2*d^4*e^(-2) + 65637*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a*b^2*d^4*e^(-3) + 21879*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*b^3*d^4*e^(-3) + 2431*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*b^3*d^4*e^(-4) + 204204*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^3*d^3*e^(-1) + 612612*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a^2*b*d^3*e^(-1) + 262548*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a^2*b*d^3*e^(-2) + 262548*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a*b^2*d^3*e^(-2) + 29172*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a*b^2*d^3*e^(-3) + 9724*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*b^3*d^3*e^(-3) + 4420*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*b^3*d^3*e^(-4) + 765765*sqrt(x*e + d)*A*a^3*d^4 + 1021020*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^3*d^3 + 131274*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a^3*d^2*e^(-1) + 393822*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a^2*b*d^2*e^(-1) + 43758*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a^2*b*d^2*e^(-2) + 43758*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*a*b^2*d^2*e^(-2) + 19890*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*a*b^2*d^2*e^(-3) + 6630*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*A*b^3*d^2*e^(-3) + 1530*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*B*b^3*d^2*e^(-4) + 306306*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a^3*d^2 + 9724*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a^3*d*e^(-1) + 29172*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*a^2*b*d*e^(-1) + 13260*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*a^2*b*d*e^(-2) + 13260*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*A*a*b^2*d*e^(-2) + 3060*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*B*a*b^2*d*e^(-3) + 1020*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*A*b^3*d*e^(-3) + 476*(429*(x*e + d)^(15/2) - 3465*(x*e + d)^(13/2)*d + 12285*(x*e + d)^(11/2)*d^2 - 25025*(x*e + d)^(9/2)*d^3 + 32175*(x*e + d)^(7/2)*d^4 - 27027*(x*e + d)^(5/2)*d^5 + 15015*(x*e + d)^(3/2)*d^6 - 6435*sqrt(x*e + d)*d^7)*B*b^3*d*e^(-4) + 87516*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a^3*d + 1105*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*a^3*e^(-1) + 3315*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*A*a^2*b*e^(-1) + 765*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*B*a^2*b*e^(-2) + 765*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*A*a*b^2*e^(-2) + 357*(429*(x*e + d)^(15/2) - 3465*(x*e + d)^(13/2)*d + 12285*(x*e + d)^(11/2)*d^2 - 25025*(x*e + d)^(9/2)*d^3 + 32175*(x*e + d)^(7/2)*d^4 - 27027*(x*e + d)^(5/2)*d^5 + 15015*(x*e + d)^(3/2)*d^6 - 6435*sqrt(x*e + d)*d^7)*B*a*b^2*e^(-3) + 119*(429*(x*e + d)^(15/2) - 3465*(x*e + d)^(13/2)*d + 12285*(x*e + d)^(11/2)*d^2 - 25025*(x*e + d)^(9/2)*d^3 + 32175*(x*e + d)^(7/2)*d^4 - 27027*(x*e + d)^(5/2)*d^5 + 15015*(x*e + d)^(3/2)*d^6 - 6435*sqrt(x*e + d)*d^7)*A*b^3*e^(-3) + 7*(6435*(x*e + d)^(17/2) - 58344*(x*e + d)^(15/2)*d + 235620*(x*e + d)^(13/2)*d^2 - 556920*(x*e + d)^(11/2)*d^3 + 850850*(x*e + d)^(9/2)*d^4 - 875160*(x*e + d)^(7/2)*d^5 + 612612*(x*e + d)^(5/2)*d^6 - 291720*(x*e + d)^(3/2)*d^7 + 109395*sqrt(x*e + d)*d^8)*B*b^3*e^(-4) + 2431*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*a^3)*e^(-1)","B",0
1735,1,2062,0,1.492159," ","integrate((b*x+a)^3*(B*x+A)*(e*x+d)^(5/2),x, algorithm=""giac"")","\frac{2}{45045} \, {\left(15015 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a^{3} d^{3} e^{\left(-1\right)} + 45045 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{2} b d^{3} e^{\left(-1\right)} + 9009 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{2} b d^{3} e^{\left(-2\right)} + 9009 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a b^{2} d^{3} e^{\left(-2\right)} + 3861 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a b^{2} d^{3} e^{\left(-3\right)} + 1287 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A b^{3} d^{3} e^{\left(-3\right)} + 143 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B b^{3} d^{3} e^{\left(-4\right)} + 9009 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{3} d^{2} e^{\left(-1\right)} + 27027 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a^{2} b d^{2} e^{\left(-1\right)} + 11583 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a^{2} b d^{2} e^{\left(-2\right)} + 11583 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a b^{2} d^{2} e^{\left(-2\right)} + 1287 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a b^{2} d^{2} e^{\left(-3\right)} + 429 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A b^{3} d^{2} e^{\left(-3\right)} + 195 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B b^{3} d^{2} e^{\left(-4\right)} + 45045 \, \sqrt{x e + d} A a^{3} d^{3} + 45045 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{3} d^{2} + 3861 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a^{3} d e^{\left(-1\right)} + 11583 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a^{2} b d e^{\left(-1\right)} + 1287 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a^{2} b d e^{\left(-2\right)} + 1287 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A a b^{2} d e^{\left(-2\right)} + 585 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B a b^{2} d e^{\left(-3\right)} + 195 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} A b^{3} d e^{\left(-3\right)} + 45 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} B b^{3} d e^{\left(-4\right)} + 9009 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a^{3} d + 143 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a^{3} e^{\left(-1\right)} + 429 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A a^{2} b e^{\left(-1\right)} + 195 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B a^{2} b e^{\left(-2\right)} + 195 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} A a b^{2} e^{\left(-2\right)} + 45 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} B a b^{2} e^{\left(-3\right)} + 15 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} A b^{3} e^{\left(-3\right)} + 7 \, {\left(429 \, {\left(x e + d\right)}^{\frac{15}{2}} - 3465 \, {\left(x e + d\right)}^{\frac{13}{2}} d + 12285 \, {\left(x e + d\right)}^{\frac{11}{2}} d^{2} - 25025 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{3} + 32175 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{4} - 27027 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{5} + 15015 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{6} - 6435 \, \sqrt{x e + d} d^{7}\right)} B b^{3} e^{\left(-4\right)} + 1287 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a^{3}\right)} e^{\left(-1\right)}"," ",0,"2/45045*(15015*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a^3*d^3*e^(-1) + 45045*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^2*b*d^3*e^(-1) + 9009*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^2*b*d^3*e^(-2) + 9009*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a*b^2*d^3*e^(-2) + 3861*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a*b^2*d^3*e^(-3) + 1287*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*b^3*d^3*e^(-3) + 143*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*b^3*d^3*e^(-4) + 9009*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^3*d^2*e^(-1) + 27027*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a^2*b*d^2*e^(-1) + 11583*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a^2*b*d^2*e^(-2) + 11583*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a*b^2*d^2*e^(-2) + 1287*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a*b^2*d^2*e^(-3) + 429*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*b^3*d^2*e^(-3) + 195*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*b^3*d^2*e^(-4) + 45045*sqrt(x*e + d)*A*a^3*d^3 + 45045*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^3*d^2 + 3861*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a^3*d*e^(-1) + 11583*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a^2*b*d*e^(-1) + 1287*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a^2*b*d*e^(-2) + 1287*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*a*b^2*d*e^(-2) + 585*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*a*b^2*d*e^(-3) + 195*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*A*b^3*d*e^(-3) + 45*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*B*b^3*d*e^(-4) + 9009*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a^3*d + 143*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a^3*e^(-1) + 429*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*a^2*b*e^(-1) + 195*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*a^2*b*e^(-2) + 195*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*A*a*b^2*e^(-2) + 45*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*B*a*b^2*e^(-3) + 15*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*A*b^3*e^(-3) + 7*(429*(x*e + d)^(15/2) - 3465*(x*e + d)^(13/2)*d + 12285*(x*e + d)^(11/2)*d^2 - 25025*(x*e + d)^(9/2)*d^3 + 32175*(x*e + d)^(7/2)*d^4 - 27027*(x*e + d)^(5/2)*d^5 + 15015*(x*e + d)^(3/2)*d^6 - 6435*sqrt(x*e + d)*d^7)*B*b^3*e^(-4) + 1287*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a^3)*e^(-1)","B",0
1736,1,1380,0,1.342311," ","integrate((b*x+a)^3*(B*x+A)*(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{2}{45045} \, {\left(15015 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a^{3} d^{2} e^{\left(-1\right)} + 45045 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{2} b d^{2} e^{\left(-1\right)} + 9009 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{2} b d^{2} e^{\left(-2\right)} + 9009 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a b^{2} d^{2} e^{\left(-2\right)} + 3861 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a b^{2} d^{2} e^{\left(-3\right)} + 1287 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A b^{3} d^{2} e^{\left(-3\right)} + 143 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B b^{3} d^{2} e^{\left(-4\right)} + 6006 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{3} d e^{\left(-1\right)} + 18018 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a^{2} b d e^{\left(-1\right)} + 7722 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a^{2} b d e^{\left(-2\right)} + 7722 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a b^{2} d e^{\left(-2\right)} + 858 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a b^{2} d e^{\left(-3\right)} + 286 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A b^{3} d e^{\left(-3\right)} + 130 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B b^{3} d e^{\left(-4\right)} + 45045 \, \sqrt{x e + d} A a^{3} d^{2} + 30030 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{3} d + 1287 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a^{3} e^{\left(-1\right)} + 3861 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a^{2} b e^{\left(-1\right)} + 429 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a^{2} b e^{\left(-2\right)} + 429 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A a b^{2} e^{\left(-2\right)} + 195 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B a b^{2} e^{\left(-3\right)} + 65 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} A b^{3} e^{\left(-3\right)} + 15 \, {\left(231 \, {\left(x e + d\right)}^{\frac{13}{2}} - 1638 \, {\left(x e + d\right)}^{\frac{11}{2}} d + 5005 \, {\left(x e + d\right)}^{\frac{9}{2}} d^{2} - 8580 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{3} + 9009 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{4} - 6006 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{5} + 3003 \, \sqrt{x e + d} d^{6}\right)} B b^{3} e^{\left(-4\right)} + 3003 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a^{3}\right)} e^{\left(-1\right)}"," ",0,"2/45045*(15015*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a^3*d^2*e^(-1) + 45045*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^2*b*d^2*e^(-1) + 9009*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^2*b*d^2*e^(-2) + 9009*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a*b^2*d^2*e^(-2) + 3861*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a*b^2*d^2*e^(-3) + 1287*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*b^3*d^2*e^(-3) + 143*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*b^3*d^2*e^(-4) + 6006*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^3*d*e^(-1) + 18018*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a^2*b*d*e^(-1) + 7722*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a^2*b*d*e^(-2) + 7722*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a*b^2*d*e^(-2) + 858*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a*b^2*d*e^(-3) + 286*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*b^3*d*e^(-3) + 130*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*b^3*d*e^(-4) + 45045*sqrt(x*e + d)*A*a^3*d^2 + 30030*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^3*d + 1287*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a^3*e^(-1) + 3861*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a^2*b*e^(-1) + 429*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a^2*b*e^(-2) + 429*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*a*b^2*e^(-2) + 195*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*a*b^2*e^(-3) + 65*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*A*b^3*e^(-3) + 15*(231*(x*e + d)^(13/2) - 1638*(x*e + d)^(11/2)*d + 5005*(x*e + d)^(9/2)*d^2 - 8580*(x*e + d)^(7/2)*d^3 + 9009*(x*e + d)^(5/2)*d^4 - 6006*(x*e + d)^(3/2)*d^5 + 3003*sqrt(x*e + d)*d^6)*B*b^3*e^(-4) + 3003*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a^3)*e^(-1)","B",0
1737,1,802,0,1.337092," ","integrate((b*x+a)^3*(B*x+A)*(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{2}{3465} \, {\left(1155 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a^{3} d e^{\left(-1\right)} + 3465 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{2} b d e^{\left(-1\right)} + 693 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{2} b d e^{\left(-2\right)} + 693 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a b^{2} d e^{\left(-2\right)} + 297 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a b^{2} d e^{\left(-3\right)} + 99 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A b^{3} d e^{\left(-3\right)} + 11 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B b^{3} d e^{\left(-4\right)} + 231 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{3} e^{\left(-1\right)} + 693 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a^{2} b e^{\left(-1\right)} + 297 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a^{2} b e^{\left(-2\right)} + 297 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A a b^{2} e^{\left(-2\right)} + 33 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B a b^{2} e^{\left(-3\right)} + 11 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} A b^{3} e^{\left(-3\right)} + 5 \, {\left(63 \, {\left(x e + d\right)}^{\frac{11}{2}} - 385 \, {\left(x e + d\right)}^{\frac{9}{2}} d + 990 \, {\left(x e + d\right)}^{\frac{7}{2}} d^{2} - 1386 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{3} + 1155 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{4} - 693 \, \sqrt{x e + d} d^{5}\right)} B b^{3} e^{\left(-4\right)} + 3465 \, \sqrt{x e + d} A a^{3} d + 1155 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{3}\right)} e^{\left(-1\right)}"," ",0,"2/3465*(1155*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a^3*d*e^(-1) + 3465*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^2*b*d*e^(-1) + 693*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^2*b*d*e^(-2) + 693*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a*b^2*d*e^(-2) + 297*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a*b^2*d*e^(-3) + 99*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*b^3*d*e^(-3) + 11*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*b^3*d*e^(-4) + 231*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^3*e^(-1) + 693*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a^2*b*e^(-1) + 297*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a^2*b*e^(-2) + 297*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*a*b^2*e^(-2) + 33*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*a*b^2*e^(-3) + 11*(35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*A*b^3*e^(-3) + 5*(63*(x*e + d)^(11/2) - 385*(x*e + d)^(9/2)*d + 990*(x*e + d)^(7/2)*d^2 - 1386*(x*e + d)^(5/2)*d^3 + 1155*(x*e + d)^(3/2)*d^4 - 693*sqrt(x*e + d)*d^5)*B*b^3*e^(-4) + 3465*sqrt(x*e + d)*A*a^3*d + 1155*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^3)*e^(-1)","B",0
1738,1,345,0,1.306518," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{2}{315} \, {\left(105 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} B a^{3} e^{\left(-1\right)} + 315 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{x e + d} d\right)} A a^{2} b e^{\left(-1\right)} + 63 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} B a^{2} b e^{\left(-2\right)} + 63 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{x e + d} d^{2}\right)} A a b^{2} e^{\left(-2\right)} + 27 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} B a b^{2} e^{\left(-3\right)} + 9 \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{x e + d} d^{3}\right)} A b^{3} e^{\left(-3\right)} + {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} - 180 \, {\left(x e + d\right)}^{\frac{7}{2}} d + 378 \, {\left(x e + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(x e + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{x e + d} d^{4}\right)} B b^{3} e^{\left(-4\right)} + 315 \, \sqrt{x e + d} A a^{3}\right)} e^{\left(-1\right)}"," ",0,"2/315*(105*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*B*a^3*e^(-1) + 315*((x*e + d)^(3/2) - 3*sqrt(x*e + d)*d)*A*a^2*b*e^(-1) + 63*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*B*a^2*b*e^(-2) + 63*(3*(x*e + d)^(5/2) - 10*(x*e + d)^(3/2)*d + 15*sqrt(x*e + d)*d^2)*A*a*b^2*e^(-2) + 27*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*B*a*b^2*e^(-3) + 9*(5*(x*e + d)^(7/2) - 21*(x*e + d)^(5/2)*d + 35*(x*e + d)^(3/2)*d^2 - 35*sqrt(x*e + d)*d^3)*A*b^3*e^(-3) + (35*(x*e + d)^(9/2) - 180*(x*e + d)^(7/2)*d + 378*(x*e + d)^(5/2)*d^2 - 420*(x*e + d)^(3/2)*d^3 + 315*sqrt(x*e + d)*d^4)*B*b^3*e^(-4) + 315*sqrt(x*e + d)*A*a^3)*e^(-1)","B",0
1739,1,381,0,1.347102," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{2}{35} \, {\left(5 \, {\left(x e + d\right)}^{\frac{7}{2}} B b^{3} e^{30} - 28 \, {\left(x e + d\right)}^{\frac{5}{2}} B b^{3} d e^{30} + 70 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{3} d^{2} e^{30} - 140 \, \sqrt{x e + d} B b^{3} d^{3} e^{30} + 21 \, {\left(x e + d\right)}^{\frac{5}{2}} B a b^{2} e^{31} + 7 \, {\left(x e + d\right)}^{\frac{5}{2}} A b^{3} e^{31} - 105 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b^{2} d e^{31} - 35 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{3} d e^{31} + 315 \, \sqrt{x e + d} B a b^{2} d^{2} e^{31} + 105 \, \sqrt{x e + d} A b^{3} d^{2} e^{31} + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} B a^{2} b e^{32} + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} A a b^{2} e^{32} - 210 \, \sqrt{x e + d} B a^{2} b d e^{32} - 210 \, \sqrt{x e + d} A a b^{2} d e^{32} + 35 \, \sqrt{x e + d} B a^{3} e^{33} + 105 \, \sqrt{x e + d} A a^{2} b e^{33}\right)} e^{\left(-35\right)} - \frac{2 \, {\left(B b^{3} d^{4} - 3 \, B a b^{2} d^{3} e - A b^{3} d^{3} e + 3 \, B a^{2} b d^{2} e^{2} + 3 \, A a b^{2} d^{2} e^{2} - B a^{3} d e^{3} - 3 \, A a^{2} b d e^{3} + A a^{3} e^{4}\right)} e^{\left(-5\right)}}{\sqrt{x e + d}}"," ",0,"2/35*(5*(x*e + d)^(7/2)*B*b^3*e^30 - 28*(x*e + d)^(5/2)*B*b^3*d*e^30 + 70*(x*e + d)^(3/2)*B*b^3*d^2*e^30 - 140*sqrt(x*e + d)*B*b^3*d^3*e^30 + 21*(x*e + d)^(5/2)*B*a*b^2*e^31 + 7*(x*e + d)^(5/2)*A*b^3*e^31 - 105*(x*e + d)^(3/2)*B*a*b^2*d*e^31 - 35*(x*e + d)^(3/2)*A*b^3*d*e^31 + 315*sqrt(x*e + d)*B*a*b^2*d^2*e^31 + 105*sqrt(x*e + d)*A*b^3*d^2*e^31 + 35*(x*e + d)^(3/2)*B*a^2*b*e^32 + 35*(x*e + d)^(3/2)*A*a*b^2*e^32 - 210*sqrt(x*e + d)*B*a^2*b*d*e^32 - 210*sqrt(x*e + d)*A*a*b^2*d*e^32 + 35*sqrt(x*e + d)*B*a^3*e^33 + 105*sqrt(x*e + d)*A*a^2*b*e^33)*e^(-35) - 2*(B*b^3*d^4 - 3*B*a*b^2*d^3*e - A*b^3*d^3*e + 3*B*a^2*b*d^2*e^2 + 3*A*a*b^2*d^2*e^2 - B*a^3*d*e^3 - 3*A*a^2*b*d*e^3 + A*a^3*e^4)*e^(-5)/sqrt(x*e + d)","B",0
1740,1,365,0,1.335902," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^(5/2),x, algorithm=""giac"")","\frac{2}{15} \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} B b^{3} e^{20} - 20 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{3} d e^{20} + 90 \, \sqrt{x e + d} B b^{3} d^{2} e^{20} + 15 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b^{2} e^{21} + 5 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{3} e^{21} - 135 \, \sqrt{x e + d} B a b^{2} d e^{21} - 45 \, \sqrt{x e + d} A b^{3} d e^{21} + 45 \, \sqrt{x e + d} B a^{2} b e^{22} + 45 \, \sqrt{x e + d} A a b^{2} e^{22}\right)} e^{\left(-25\right)} + \frac{2 \, {\left(12 \, {\left(x e + d\right)} B b^{3} d^{3} - B b^{3} d^{4} - 27 \, {\left(x e + d\right)} B a b^{2} d^{2} e - 9 \, {\left(x e + d\right)} A b^{3} d^{2} e + 3 \, B a b^{2} d^{3} e + A b^{3} d^{3} e + 18 \, {\left(x e + d\right)} B a^{2} b d e^{2} + 18 \, {\left(x e + d\right)} A a b^{2} d e^{2} - 3 \, B a^{2} b d^{2} e^{2} - 3 \, A a b^{2} d^{2} e^{2} - 3 \, {\left(x e + d\right)} B a^{3} e^{3} - 9 \, {\left(x e + d\right)} A a^{2} b e^{3} + B a^{3} d e^{3} + 3 \, A a^{2} b d e^{3} - A a^{3} e^{4}\right)} e^{\left(-5\right)}}{3 \, {\left(x e + d\right)}^{\frac{3}{2}}}"," ",0,"2/15*(3*(x*e + d)^(5/2)*B*b^3*e^20 - 20*(x*e + d)^(3/2)*B*b^3*d*e^20 + 90*sqrt(x*e + d)*B*b^3*d^2*e^20 + 15*(x*e + d)^(3/2)*B*a*b^2*e^21 + 5*(x*e + d)^(3/2)*A*b^3*e^21 - 135*sqrt(x*e + d)*B*a*b^2*d*e^21 - 45*sqrt(x*e + d)*A*b^3*d*e^21 + 45*sqrt(x*e + d)*B*a^2*b*e^22 + 45*sqrt(x*e + d)*A*a*b^2*e^22)*e^(-25) + 2/3*(12*(x*e + d)*B*b^3*d^3 - B*b^3*d^4 - 27*(x*e + d)*B*a*b^2*d^2*e - 9*(x*e + d)*A*b^3*d^2*e + 3*B*a*b^2*d^3*e + A*b^3*d^3*e + 18*(x*e + d)*B*a^2*b*d*e^2 + 18*(x*e + d)*A*a*b^2*d*e^2 - 3*B*a^2*b*d^2*e^2 - 3*A*a*b^2*d^2*e^2 - 3*(x*e + d)*B*a^3*e^3 - 9*(x*e + d)*A*a^2*b*e^3 + B*a^3*d*e^3 + 3*A*a^2*b*d*e^3 - A*a^3*e^4)*e^(-5)/(x*e + d)^(3/2)","B",0
1741,1,364,0,1.368393," ","integrate((b*x+a)^3*(B*x+A)/(e*x+d)^(7/2),x, algorithm=""giac"")","\frac{2}{3} \, {\left({\left(x e + d\right)}^{\frac{3}{2}} B b^{3} e^{10} - 12 \, \sqrt{x e + d} B b^{3} d e^{10} + 9 \, \sqrt{x e + d} B a b^{2} e^{11} + 3 \, \sqrt{x e + d} A b^{3} e^{11}\right)} e^{\left(-15\right)} - \frac{2 \, {\left(90 \, {\left(x e + d\right)}^{2} B b^{3} d^{2} - 20 \, {\left(x e + d\right)} B b^{3} d^{3} + 3 \, B b^{3} d^{4} - 135 \, {\left(x e + d\right)}^{2} B a b^{2} d e - 45 \, {\left(x e + d\right)}^{2} A b^{3} d e + 45 \, {\left(x e + d\right)} B a b^{2} d^{2} e + 15 \, {\left(x e + d\right)} A b^{3} d^{2} e - 9 \, B a b^{2} d^{3} e - 3 \, A b^{3} d^{3} e + 45 \, {\left(x e + d\right)}^{2} B a^{2} b e^{2} + 45 \, {\left(x e + d\right)}^{2} A a b^{2} e^{2} - 30 \, {\left(x e + d\right)} B a^{2} b d e^{2} - 30 \, {\left(x e + d\right)} A a b^{2} d e^{2} + 9 \, B a^{2} b d^{2} e^{2} + 9 \, A a b^{2} d^{2} e^{2} + 5 \, {\left(x e + d\right)} B a^{3} e^{3} + 15 \, {\left(x e + d\right)} A a^{2} b e^{3} - 3 \, B a^{3} d e^{3} - 9 \, A a^{2} b d e^{3} + 3 \, A a^{3} e^{4}\right)} e^{\left(-5\right)}}{15 \, {\left(x e + d\right)}^{\frac{5}{2}}}"," ",0,"2/3*((x*e + d)^(3/2)*B*b^3*e^10 - 12*sqrt(x*e + d)*B*b^3*d*e^10 + 9*sqrt(x*e + d)*B*a*b^2*e^11 + 3*sqrt(x*e + d)*A*b^3*e^11)*e^(-15) - 2/15*(90*(x*e + d)^2*B*b^3*d^2 - 20*(x*e + d)*B*b^3*d^3 + 3*B*b^3*d^4 - 135*(x*e + d)^2*B*a*b^2*d*e - 45*(x*e + d)^2*A*b^3*d*e + 45*(x*e + d)*B*a*b^2*d^2*e + 15*(x*e + d)*A*b^3*d^2*e - 9*B*a*b^2*d^3*e - 3*A*b^3*d^3*e + 45*(x*e + d)^2*B*a^2*b*e^2 + 45*(x*e + d)^2*A*a*b^2*e^2 - 30*(x*e + d)*B*a^2*b*d*e^2 - 30*(x*e + d)*A*a*b^2*d*e^2 + 9*B*a^2*b*d^2*e^2 + 9*A*a*b^2*d^2*e^2 + 5*(x*e + d)*B*a^3*e^3 + 15*(x*e + d)*A*a^2*b*e^3 - 3*B*a^3*d*e^3 - 9*A*a^2*b*d*e^3 + 3*A*a^3*e^4)*e^(-5)/(x*e + d)^(5/2)","B",0
1742,1,558,0,1.414177," ","integrate((B*x+A)*(e*x+d)^(7/2)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(B a b^{4} d^{4} - A b^{5} d^{4} - 4 \, B a^{2} b^{3} d^{3} e + 4 \, A a b^{4} d^{3} e + 6 \, B a^{3} b^{2} d^{2} e^{2} - 6 \, A a^{2} b^{3} d^{2} e^{2} - 4 \, B a^{4} b d e^{3} + 4 \, A a^{3} b^{2} d e^{3} + B a^{5} e^{4} - A a^{4} b e^{4}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{\sqrt{-b^{2} d + a b e} b^{5}} + \frac{2 \, {\left(35 \, {\left(x e + d\right)}^{\frac{9}{2}} B b^{8} e^{8} - 45 \, {\left(x e + d\right)}^{\frac{7}{2}} B a b^{7} e^{9} + 45 \, {\left(x e + d\right)}^{\frac{7}{2}} A b^{8} e^{9} - 63 \, {\left(x e + d\right)}^{\frac{5}{2}} B a b^{7} d e^{9} + 63 \, {\left(x e + d\right)}^{\frac{5}{2}} A b^{8} d e^{9} - 105 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b^{7} d^{2} e^{9} + 105 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{8} d^{2} e^{9} - 315 \, \sqrt{x e + d} B a b^{7} d^{3} e^{9} + 315 \, \sqrt{x e + d} A b^{8} d^{3} e^{9} + 63 \, {\left(x e + d\right)}^{\frac{5}{2}} B a^{2} b^{6} e^{10} - 63 \, {\left(x e + d\right)}^{\frac{5}{2}} A a b^{7} e^{10} + 210 \, {\left(x e + d\right)}^{\frac{3}{2}} B a^{2} b^{6} d e^{10} - 210 \, {\left(x e + d\right)}^{\frac{3}{2}} A a b^{7} d e^{10} + 945 \, \sqrt{x e + d} B a^{2} b^{6} d^{2} e^{10} - 945 \, \sqrt{x e + d} A a b^{7} d^{2} e^{10} - 105 \, {\left(x e + d\right)}^{\frac{3}{2}} B a^{3} b^{5} e^{11} + 105 \, {\left(x e + d\right)}^{\frac{3}{2}} A a^{2} b^{6} e^{11} - 945 \, \sqrt{x e + d} B a^{3} b^{5} d e^{11} + 945 \, \sqrt{x e + d} A a^{2} b^{6} d e^{11} + 315 \, \sqrt{x e + d} B a^{4} b^{4} e^{12} - 315 \, \sqrt{x e + d} A a^{3} b^{5} e^{12}\right)} e^{\left(-9\right)}}{315 \, b^{9}}"," ",0,"-2*(B*a*b^4*d^4 - A*b^5*d^4 - 4*B*a^2*b^3*d^3*e + 4*A*a*b^4*d^3*e + 6*B*a^3*b^2*d^2*e^2 - 6*A*a^2*b^3*d^2*e^2 - 4*B*a^4*b*d*e^3 + 4*A*a^3*b^2*d*e^3 + B*a^5*e^4 - A*a^4*b*e^4)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*b^5) + 2/315*(35*(x*e + d)^(9/2)*B*b^8*e^8 - 45*(x*e + d)^(7/2)*B*a*b^7*e^9 + 45*(x*e + d)^(7/2)*A*b^8*e^9 - 63*(x*e + d)^(5/2)*B*a*b^7*d*e^9 + 63*(x*e + d)^(5/2)*A*b^8*d*e^9 - 105*(x*e + d)^(3/2)*B*a*b^7*d^2*e^9 + 105*(x*e + d)^(3/2)*A*b^8*d^2*e^9 - 315*sqrt(x*e + d)*B*a*b^7*d^3*e^9 + 315*sqrt(x*e + d)*A*b^8*d^3*e^9 + 63*(x*e + d)^(5/2)*B*a^2*b^6*e^10 - 63*(x*e + d)^(5/2)*A*a*b^7*e^10 + 210*(x*e + d)^(3/2)*B*a^2*b^6*d*e^10 - 210*(x*e + d)^(3/2)*A*a*b^7*d*e^10 + 945*sqrt(x*e + d)*B*a^2*b^6*d^2*e^10 - 945*sqrt(x*e + d)*A*a*b^7*d^2*e^10 - 105*(x*e + d)^(3/2)*B*a^3*b^5*e^11 + 105*(x*e + d)^(3/2)*A*a^2*b^6*e^11 - 945*sqrt(x*e + d)*B*a^3*b^5*d*e^11 + 945*sqrt(x*e + d)*A*a^2*b^6*d*e^11 + 315*sqrt(x*e + d)*B*a^4*b^4*e^12 - 315*sqrt(x*e + d)*A*a^3*b^5*e^12)*e^(-9)/b^9","B",0
1743,1,371,0,1.299958," ","integrate((B*x+A)*(e*x+d)^(5/2)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(B a b^{3} d^{3} - A b^{4} d^{3} - 3 \, B a^{2} b^{2} d^{2} e + 3 \, A a b^{3} d^{2} e + 3 \, B a^{3} b d e^{2} - 3 \, A a^{2} b^{2} d e^{2} - B a^{4} e^{3} + A a^{3} b e^{3}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{\sqrt{-b^{2} d + a b e} b^{4}} + \frac{2 \, {\left(15 \, {\left(x e + d\right)}^{\frac{7}{2}} B b^{6} e^{6} - 21 \, {\left(x e + d\right)}^{\frac{5}{2}} B a b^{5} e^{7} + 21 \, {\left(x e + d\right)}^{\frac{5}{2}} A b^{6} e^{7} - 35 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b^{5} d e^{7} + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{6} d e^{7} - 105 \, \sqrt{x e + d} B a b^{5} d^{2} e^{7} + 105 \, \sqrt{x e + d} A b^{6} d^{2} e^{7} + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} B a^{2} b^{4} e^{8} - 35 \, {\left(x e + d\right)}^{\frac{3}{2}} A a b^{5} e^{8} + 210 \, \sqrt{x e + d} B a^{2} b^{4} d e^{8} - 210 \, \sqrt{x e + d} A a b^{5} d e^{8} - 105 \, \sqrt{x e + d} B a^{3} b^{3} e^{9} + 105 \, \sqrt{x e + d} A a^{2} b^{4} e^{9}\right)} e^{\left(-7\right)}}{105 \, b^{7}}"," ",0,"-2*(B*a*b^3*d^3 - A*b^4*d^3 - 3*B*a^2*b^2*d^2*e + 3*A*a*b^3*d^2*e + 3*B*a^3*b*d*e^2 - 3*A*a^2*b^2*d*e^2 - B*a^4*e^3 + A*a^3*b*e^3)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*b^4) + 2/105*(15*(x*e + d)^(7/2)*B*b^6*e^6 - 21*(x*e + d)^(5/2)*B*a*b^5*e^7 + 21*(x*e + d)^(5/2)*A*b^6*e^7 - 35*(x*e + d)^(3/2)*B*a*b^5*d*e^7 + 35*(x*e + d)^(3/2)*A*b^6*d*e^7 - 105*sqrt(x*e + d)*B*a*b^5*d^2*e^7 + 105*sqrt(x*e + d)*A*b^6*d^2*e^7 + 35*(x*e + d)^(3/2)*B*a^2*b^4*e^8 - 35*(x*e + d)^(3/2)*A*a*b^5*e^8 + 210*sqrt(x*e + d)*B*a^2*b^4*d*e^8 - 210*sqrt(x*e + d)*A*a*b^5*d*e^8 - 105*sqrt(x*e + d)*B*a^3*b^3*e^9 + 105*sqrt(x*e + d)*A*a^2*b^4*e^9)*e^(-7)/b^7","B",0
1744,1,228,0,1.308857," ","integrate((B*x+A)*(e*x+d)^(3/2)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(B a b^{2} d^{2} - A b^{3} d^{2} - 2 \, B a^{2} b d e + 2 \, A a b^{2} d e + B a^{3} e^{2} - A a^{2} b e^{2}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{\sqrt{-b^{2} d + a b e} b^{3}} + \frac{2 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} B b^{4} e^{4} - 5 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b^{3} e^{5} + 5 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{4} e^{5} - 15 \, \sqrt{x e + d} B a b^{3} d e^{5} + 15 \, \sqrt{x e + d} A b^{4} d e^{5} + 15 \, \sqrt{x e + d} B a^{2} b^{2} e^{6} - 15 \, \sqrt{x e + d} A a b^{3} e^{6}\right)} e^{\left(-5\right)}}{15 \, b^{5}}"," ",0,"-2*(B*a*b^2*d^2 - A*b^3*d^2 - 2*B*a^2*b*d*e + 2*A*a*b^2*d*e + B*a^3*e^2 - A*a^2*b*e^2)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*b^3) + 2/15*(3*(x*e + d)^(5/2)*B*b^4*e^4 - 5*(x*e + d)^(3/2)*B*a*b^3*e^5 + 5*(x*e + d)^(3/2)*A*b^4*e^5 - 15*sqrt(x*e + d)*B*a*b^3*d*e^5 + 15*sqrt(x*e + d)*A*b^4*d*e^5 + 15*sqrt(x*e + d)*B*a^2*b^2*e^6 - 15*sqrt(x*e + d)*A*a*b^3*e^6)*e^(-5)/b^5","B",0
1745,1,126,0,1.231584," ","integrate((B*x+A)*(e*x+d)^(1/2)/(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(B a b d - A b^{2} d - B a^{2} e + A a b e\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{\sqrt{-b^{2} d + a b e} b^{2}} + \frac{2 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} B b^{2} e^{2} - 3 \, \sqrt{x e + d} B a b e^{3} + 3 \, \sqrt{x e + d} A b^{2} e^{3}\right)} e^{\left(-3\right)}}{3 \, b^{3}}"," ",0,"-2*(B*a*b*d - A*b^2*d - B*a^2*e + A*a*b*e)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*b^2) + 2/3*((x*e + d)^(3/2)*B*b^2*e^2 - 3*sqrt(x*e + d)*B*a*b*e^3 + 3*sqrt(x*e + d)*A*b^2*e^3)*e^(-3)/b^3","A",0
1746,1,69,0,1.266950," ","integrate((B*x+A)/(b*x+a)/(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{x e + d} B e^{\left(-1\right)}}{b} - \frac{2 \, {\left(B a - A b\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{\sqrt{-b^{2} d + a b e} b}"," ",0,"2*sqrt(x*e + d)*B*e^(-1)/b - 2*(B*a - A*b)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*b)","A",0
1747,1,93,0,1.250668," ","integrate((B*x+A)/(b*x+a)/(e*x+d)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(B a - A b\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{\sqrt{-b^{2} d + a b e} {\left(b d - a e\right)}} - \frac{2 \, {\left(B d - A e\right)}}{{\left(b d e - a e^{2}\right)} \sqrt{x e + d}}"," ",0,"-2*(B*a - A*b)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*(b*d - a*e)) - 2*(B*d - A*e)/((b*d*e - a*e^2)*sqrt(x*e + d))","A",0
1748,1,161,0,1.303557," ","integrate((B*x+A)/(b*x+a)/(e*x+d)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(B a b - A b^{2}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{{\left(b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}\right)} \sqrt{-b^{2} d + a b e}} - \frac{2 \, {\left(B b d^{2} + 3 \, {\left(x e + d\right)} B a e - 3 \, {\left(x e + d\right)} A b e - B a d e - A b d e + A a e^{2}\right)}}{3 \, {\left(b^{2} d^{2} e - 2 \, a b d e^{2} + a^{2} e^{3}\right)} {\left(x e + d\right)}^{\frac{3}{2}}}"," ",0,"-2*(B*a*b - A*b^2)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/((b^2*d^2 - 2*a*b*d*e + a^2*e^2)*sqrt(-b^2*d + a*b*e)) - 2/3*(B*b*d^2 + 3*(x*e + d)*B*a*e - 3*(x*e + d)*A*b*e - B*a*d*e - A*b*d*e + A*a*e^2)/((b^2*d^2*e - 2*a*b*d*e^2 + a^2*e^3)*(x*e + d)^(3/2))","A",0
1749,1,284,0,1.303063," ","integrate((B*x+A)/(b*x+a)/(e*x+d)^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(B a b^{2} - A b^{3}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{{\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} \sqrt{-b^{2} d + a b e}} - \frac{2 \, {\left(3 \, B b^{2} d^{3} + 15 \, {\left(x e + d\right)}^{2} B a b e - 15 \, {\left(x e + d\right)}^{2} A b^{2} e + 5 \, {\left(x e + d\right)} B a b d e - 5 \, {\left(x e + d\right)} A b^{2} d e - 6 \, B a b d^{2} e - 3 \, A b^{2} d^{2} e - 5 \, {\left(x e + d\right)} B a^{2} e^{2} + 5 \, {\left(x e + d\right)} A a b e^{2} + 3 \, B a^{2} d e^{2} + 6 \, A a b d e^{2} - 3 \, A a^{2} e^{3}\right)}}{15 \, {\left(b^{3} d^{3} e - 3 \, a b^{2} d^{2} e^{2} + 3 \, a^{2} b d e^{3} - a^{3} e^{4}\right)} {\left(x e + d\right)}^{\frac{5}{2}}}"," ",0,"-2*(B*a*b^2 - A*b^3)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/((b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*sqrt(-b^2*d + a*b*e)) - 2/15*(3*B*b^2*d^3 + 15*(x*e + d)^2*B*a*b*e - 15*(x*e + d)^2*A*b^2*e + 5*(x*e + d)*B*a*b*d*e - 5*(x*e + d)*A*b^2*d*e - 6*B*a*b*d^2*e - 3*A*b^2*d^2*e - 5*(x*e + d)*B*a^2*e^2 + 5*(x*e + d)*A*a*b*e^2 + 3*B*a^2*d*e^2 + 6*A*a*b*d*e^2 - 3*A*a^2*e^3)/((b^3*d^3*e - 3*a*b^2*d^2*e^2 + 3*a^2*b*d*e^3 - a^3*e^4)*(x*e + d)^(5/2))","B",0
1750,1,604,0,1.351097," ","integrate((B*x+A)*(e*x+d)^(7/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(2 \, B b^{4} d^{4} - 15 \, B a b^{3} d^{3} e + 7 \, A b^{4} d^{3} e + 33 \, B a^{2} b^{2} d^{2} e^{2} - 21 \, A a b^{3} d^{2} e^{2} - 29 \, B a^{3} b d e^{3} + 21 \, A a^{2} b^{2} d e^{3} + 9 \, B a^{4} e^{4} - 7 \, A a^{3} b e^{4}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{\sqrt{-b^{2} d + a b e} b^{5}} + \frac{\sqrt{x e + d} B a b^{3} d^{3} e - \sqrt{x e + d} A b^{4} d^{3} e - 3 \, \sqrt{x e + d} B a^{2} b^{2} d^{2} e^{2} + 3 \, \sqrt{x e + d} A a b^{3} d^{2} e^{2} + 3 \, \sqrt{x e + d} B a^{3} b d e^{3} - 3 \, \sqrt{x e + d} A a^{2} b^{2} d e^{3} - \sqrt{x e + d} B a^{4} e^{4} + \sqrt{x e + d} A a^{3} b e^{4}}{{\left({\left(x e + d\right)} b - b d + a e\right)} b^{5}} + \frac{2 \, {\left(15 \, {\left(x e + d\right)}^{\frac{7}{2}} B b^{12} + 21 \, {\left(x e + d\right)}^{\frac{5}{2}} B b^{12} d + 35 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{12} d^{2} + 105 \, \sqrt{x e + d} B b^{12} d^{3} - 42 \, {\left(x e + d\right)}^{\frac{5}{2}} B a b^{11} e + 21 \, {\left(x e + d\right)}^{\frac{5}{2}} A b^{12} e - 140 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b^{11} d e + 70 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{12} d e - 630 \, \sqrt{x e + d} B a b^{11} d^{2} e + 315 \, \sqrt{x e + d} A b^{12} d^{2} e + 105 \, {\left(x e + d\right)}^{\frac{3}{2}} B a^{2} b^{10} e^{2} - 70 \, {\left(x e + d\right)}^{\frac{3}{2}} A a b^{11} e^{2} + 945 \, \sqrt{x e + d} B a^{2} b^{10} d e^{2} - 630 \, \sqrt{x e + d} A a b^{11} d e^{2} - 420 \, \sqrt{x e + d} B a^{3} b^{9} e^{3} + 315 \, \sqrt{x e + d} A a^{2} b^{10} e^{3}\right)}}{105 \, b^{14}}"," ",0,"(2*B*b^4*d^4 - 15*B*a*b^3*d^3*e + 7*A*b^4*d^3*e + 33*B*a^2*b^2*d^2*e^2 - 21*A*a*b^3*d^2*e^2 - 29*B*a^3*b*d*e^3 + 21*A*a^2*b^2*d*e^3 + 9*B*a^4*e^4 - 7*A*a^3*b*e^4)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*b^5) + (sqrt(x*e + d)*B*a*b^3*d^3*e - sqrt(x*e + d)*A*b^4*d^3*e - 3*sqrt(x*e + d)*B*a^2*b^2*d^2*e^2 + 3*sqrt(x*e + d)*A*a*b^3*d^2*e^2 + 3*sqrt(x*e + d)*B*a^3*b*d*e^3 - 3*sqrt(x*e + d)*A*a^2*b^2*d*e^3 - sqrt(x*e + d)*B*a^4*e^4 + sqrt(x*e + d)*A*a^3*b*e^4)/(((x*e + d)*b - b*d + a*e)*b^5) + 2/105*(15*(x*e + d)^(7/2)*B*b^12 + 21*(x*e + d)^(5/2)*B*b^12*d + 35*(x*e + d)^(3/2)*B*b^12*d^2 + 105*sqrt(x*e + d)*B*b^12*d^3 - 42*(x*e + d)^(5/2)*B*a*b^11*e + 21*(x*e + d)^(5/2)*A*b^12*e - 140*(x*e + d)^(3/2)*B*a*b^11*d*e + 70*(x*e + d)^(3/2)*A*b^12*d*e - 630*sqrt(x*e + d)*B*a*b^11*d^2*e + 315*sqrt(x*e + d)*A*b^12*d^2*e + 105*(x*e + d)^(3/2)*B*a^2*b^10*e^2 - 70*(x*e + d)^(3/2)*A*a*b^11*e^2 + 945*sqrt(x*e + d)*B*a^2*b^10*d*e^2 - 630*sqrt(x*e + d)*A*a*b^11*d*e^2 - 420*sqrt(x*e + d)*B*a^3*b^9*e^3 + 315*sqrt(x*e + d)*A*a^2*b^10*e^3)/b^14","B",0
1751,1,400,0,1.285508," ","integrate((B*x+A)*(e*x+d)^(5/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(2 \, B b^{3} d^{3} - 11 \, B a b^{2} d^{2} e + 5 \, A b^{3} d^{2} e + 16 \, B a^{2} b d e^{2} - 10 \, A a b^{2} d e^{2} - 7 \, B a^{3} e^{3} + 5 \, A a^{2} b e^{3}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{\sqrt{-b^{2} d + a b e} b^{4}} + \frac{\sqrt{x e + d} B a b^{2} d^{2} e - \sqrt{x e + d} A b^{3} d^{2} e - 2 \, \sqrt{x e + d} B a^{2} b d e^{2} + 2 \, \sqrt{x e + d} A a b^{2} d e^{2} + \sqrt{x e + d} B a^{3} e^{3} - \sqrt{x e + d} A a^{2} b e^{3}}{{\left({\left(x e + d\right)} b - b d + a e\right)} b^{4}} + \frac{2 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} B b^{8} + 5 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{8} d + 15 \, \sqrt{x e + d} B b^{8} d^{2} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b^{7} e + 5 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{8} e - 60 \, \sqrt{x e + d} B a b^{7} d e + 30 \, \sqrt{x e + d} A b^{8} d e + 45 \, \sqrt{x e + d} B a^{2} b^{6} e^{2} - 30 \, \sqrt{x e + d} A a b^{7} e^{2}\right)}}{15 \, b^{10}}"," ",0,"(2*B*b^3*d^3 - 11*B*a*b^2*d^2*e + 5*A*b^3*d^2*e + 16*B*a^2*b*d*e^2 - 10*A*a*b^2*d*e^2 - 7*B*a^3*e^3 + 5*A*a^2*b*e^3)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*b^4) + (sqrt(x*e + d)*B*a*b^2*d^2*e - sqrt(x*e + d)*A*b^3*d^2*e - 2*sqrt(x*e + d)*B*a^2*b*d*e^2 + 2*sqrt(x*e + d)*A*a*b^2*d*e^2 + sqrt(x*e + d)*B*a^3*e^3 - sqrt(x*e + d)*A*a^2*b*e^3)/(((x*e + d)*b - b*d + a*e)*b^4) + 2/15*(3*(x*e + d)^(5/2)*B*b^8 + 5*(x*e + d)^(3/2)*B*b^8*d + 15*sqrt(x*e + d)*B*b^8*d^2 - 10*(x*e + d)^(3/2)*B*a*b^7*e + 5*(x*e + d)^(3/2)*A*b^8*e - 60*sqrt(x*e + d)*B*a*b^7*d*e + 30*sqrt(x*e + d)*A*b^8*d*e + 45*sqrt(x*e + d)*B*a^2*b^6*e^2 - 30*sqrt(x*e + d)*A*a*b^7*e^2)/b^10","B",0
1752,1,239,0,1.336207," ","integrate((B*x+A)*(e*x+d)^(3/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(2 \, B b^{2} d^{2} - 7 \, B a b d e + 3 \, A b^{2} d e + 5 \, B a^{2} e^{2} - 3 \, A a b e^{2}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{\sqrt{-b^{2} d + a b e} b^{3}} + \frac{\sqrt{x e + d} B a b d e - \sqrt{x e + d} A b^{2} d e - \sqrt{x e + d} B a^{2} e^{2} + \sqrt{x e + d} A a b e^{2}}{{\left({\left(x e + d\right)} b - b d + a e\right)} b^{3}} + \frac{2 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} B b^{4} + 3 \, \sqrt{x e + d} B b^{4} d - 6 \, \sqrt{x e + d} B a b^{3} e + 3 \, \sqrt{x e + d} A b^{4} e\right)}}{3 \, b^{6}}"," ",0,"(2*B*b^2*d^2 - 7*B*a*b*d*e + 3*A*b^2*d*e + 5*B*a^2*e^2 - 3*A*a*b*e^2)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*b^3) + (sqrt(x*e + d)*B*a*b*d*e - sqrt(x*e + d)*A*b^2*d*e - sqrt(x*e + d)*B*a^2*e^2 + sqrt(x*e + d)*A*a*b*e^2)/(((x*e + d)*b - b*d + a*e)*b^3) + 2/3*((x*e + d)^(3/2)*B*b^4 + 3*sqrt(x*e + d)*B*b^4*d - 6*sqrt(x*e + d)*B*a*b^3*e + 3*sqrt(x*e + d)*A*b^4*e)/b^6","A",0
1753,1,126,0,1.296932," ","integrate((B*x+A)*(e*x+d)^(1/2)/(b*x+a)^2,x, algorithm=""giac"")","\frac{2 \, \sqrt{x e + d} B}{b^{2}} + \frac{{\left(2 \, B b d - 3 \, B a e + A b e\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{\sqrt{-b^{2} d + a b e} b^{2}} + \frac{\sqrt{x e + d} B a e - \sqrt{x e + d} A b e}{{\left({\left(x e + d\right)} b - b d + a e\right)} b^{2}}"," ",0,"2*sqrt(x*e + d)*B/b^2 + (2*B*b*d - 3*B*a*e + A*b*e)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*b^2) + (sqrt(x*e + d)*B*a*e - sqrt(x*e + d)*A*b*e)/(((x*e + d)*b - b*d + a*e)*b^2)","A",0
1754,1,135,0,1.261301," ","integrate((B*x+A)/(b*x+a)^2/(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{{\left(2 \, B b d - B a e - A b e\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{{\left(b^{2} d - a b e\right)} \sqrt{-b^{2} d + a b e}} + \frac{\sqrt{x e + d} B a e - \sqrt{x e + d} A b e}{{\left(b^{2} d - a b e\right)} {\left({\left(x e + d\right)} b - b d + a e\right)}}"," ",0,"(2*B*b*d - B*a*e - A*b*e)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/((b^2*d - a*b*e)*sqrt(-b^2*d + a*b*e)) + (sqrt(x*e + d)*B*a*e - sqrt(x*e + d)*A*b*e)/((b^2*d - a*b*e)*((x*e + d)*b - b*d + a*e))","A",0
1755,1,204,0,1.298133," ","integrate((B*x+A)/(b*x+a)^2/(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{{\left(2 \, B b d + B a e - 3 \, A b e\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{{\left(b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}\right)} \sqrt{-b^{2} d + a b e}} + \frac{2 \, {\left(x e + d\right)} B b d - 2 \, B b d^{2} + {\left(x e + d\right)} B a e - 3 \, {\left(x e + d\right)} A b e + 2 \, B a d e + 2 \, A b d e - 2 \, A a e^{2}}{{\left(b^{2} d^{2} - 2 \, a b d e + a^{2} e^{2}\right)} {\left({\left(x e + d\right)}^{\frac{3}{2}} b - \sqrt{x e + d} b d + \sqrt{x e + d} a e\right)}}"," ",0,"(2*B*b*d + B*a*e - 3*A*b*e)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/((b^2*d^2 - 2*a*b*d*e + a^2*e^2)*sqrt(-b^2*d + a*b*e)) + (2*(x*e + d)*B*b*d - 2*B*b*d^2 + (x*e + d)*B*a*e - 3*(x*e + d)*A*b*e + 2*B*a*d*e + 2*A*b*d*e - 2*A*a*e^2)/((b^2*d^2 - 2*a*b*d*e + a^2*e^2)*((x*e + d)^(3/2)*b - sqrt(x*e + d)*b*d + sqrt(x*e + d)*a*e))","A",0
1756,1,297,0,1.326665," ","integrate((B*x+A)/(b*x+a)^2/(e*x+d)^(5/2),x, algorithm=""giac"")","\frac{{\left(2 \, B b^{2} d + 3 \, B a b e - 5 \, A b^{2} e\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{{\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} \sqrt{-b^{2} d + a b e}} + \frac{\sqrt{x e + d} B a b e - \sqrt{x e + d} A b^{2} e}{{\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} {\left({\left(x e + d\right)} b - b d + a e\right)}} + \frac{2 \, {\left(3 \, {\left(x e + d\right)} B b d + B b d^{2} + 3 \, {\left(x e + d\right)} B a e - 6 \, {\left(x e + d\right)} A b e - B a d e - A b d e + A a e^{2}\right)}}{3 \, {\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} {\left(x e + d\right)}^{\frac{3}{2}}}"," ",0,"(2*B*b^2*d + 3*B*a*b*e - 5*A*b^2*e)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/((b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*sqrt(-b^2*d + a*b*e)) + (sqrt(x*e + d)*B*a*b*e - sqrt(x*e + d)*A*b^2*e)/((b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*((x*e + d)*b - b*d + a*e)) + 2/3*(3*(x*e + d)*B*b*d + B*b*d^2 + 3*(x*e + d)*B*a*e - 6*(x*e + d)*A*b*e - B*a*d*e - A*b*d*e + A*a*e^2)/((b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*(x*e + d)^(3/2))","A",0
1757,1,435,0,1.358239," ","integrate((B*x+A)/(b*x+a)^2/(e*x+d)^(7/2),x, algorithm=""giac"")","\frac{{\left(2 \, B b^{3} d + 5 \, B a b^{2} e - 7 \, A b^{3} e\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{{\left(b^{4} d^{4} - 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} - 4 \, a^{3} b d e^{3} + a^{4} e^{4}\right)} \sqrt{-b^{2} d + a b e}} + \frac{\sqrt{x e + d} B a b^{2} e - \sqrt{x e + d} A b^{3} e}{{\left(b^{4} d^{4} - 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} - 4 \, a^{3} b d e^{3} + a^{4} e^{4}\right)} {\left({\left(x e + d\right)} b - b d + a e\right)}} + \frac{2 \, {\left(15 \, {\left(x e + d\right)}^{2} B b^{2} d + 5 \, {\left(x e + d\right)} B b^{2} d^{2} + 3 \, B b^{2} d^{3} + 30 \, {\left(x e + d\right)}^{2} B a b e - 45 \, {\left(x e + d\right)}^{2} A b^{2} e - 10 \, {\left(x e + d\right)} A b^{2} d e - 6 \, B a b d^{2} e - 3 \, A b^{2} d^{2} e - 5 \, {\left(x e + d\right)} B a^{2} e^{2} + 10 \, {\left(x e + d\right)} A a b e^{2} + 3 \, B a^{2} d e^{2} + 6 \, A a b d e^{2} - 3 \, A a^{2} e^{3}\right)}}{15 \, {\left(b^{4} d^{4} - 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} - 4 \, a^{3} b d e^{3} + a^{4} e^{4}\right)} {\left(x e + d\right)}^{\frac{5}{2}}}"," ",0,"(2*B*b^3*d + 5*B*a*b^2*e - 7*A*b^3*e)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/((b^4*d^4 - 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 - 4*a^3*b*d*e^3 + a^4*e^4)*sqrt(-b^2*d + a*b*e)) + (sqrt(x*e + d)*B*a*b^2*e - sqrt(x*e + d)*A*b^3*e)/((b^4*d^4 - 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 - 4*a^3*b*d*e^3 + a^4*e^4)*((x*e + d)*b - b*d + a*e)) + 2/15*(15*(x*e + d)^2*B*b^2*d + 5*(x*e + d)*B*b^2*d^2 + 3*B*b^2*d^3 + 30*(x*e + d)^2*B*a*b*e - 45*(x*e + d)^2*A*b^2*e - 10*(x*e + d)*A*b^2*d*e - 6*B*a*b*d^2*e - 3*A*b^2*d^2*e - 5*(x*e + d)*B*a^2*e^2 + 10*(x*e + d)*A*a*b*e^2 + 3*B*a^2*d*e^2 + 6*A*a*b*d*e^2 - 3*A*a^2*e^3)/((b^4*d^4 - 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 - 4*a^3*b*d*e^3 + a^4*e^4)*(x*e + d)^(5/2))","B",0
1758,1,607,0,1.389048," ","integrate((B*x+A)*(e*x+d)^(7/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{7 \, {\left(4 \, B b^{3} d^{3} e - 17 \, B a b^{2} d^{2} e^{2} + 5 \, A b^{3} d^{2} e^{2} + 22 \, B a^{2} b d e^{3} - 10 \, A a b^{2} d e^{3} - 9 \, B a^{3} e^{4} + 5 \, A a^{2} b e^{4}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{4 \, \sqrt{-b^{2} d + a b e} b^{5}} - \frac{4 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{4} d^{3} e - 4 \, \sqrt{x e + d} B b^{4} d^{4} e - 25 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b^{3} d^{2} e^{2} + 13 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{4} d^{2} e^{2} + 27 \, \sqrt{x e + d} B a b^{3} d^{3} e^{2} - 11 \, \sqrt{x e + d} A b^{4} d^{3} e^{2} + 38 \, {\left(x e + d\right)}^{\frac{3}{2}} B a^{2} b^{2} d e^{3} - 26 \, {\left(x e + d\right)}^{\frac{3}{2}} A a b^{3} d e^{3} - 57 \, \sqrt{x e + d} B a^{2} b^{2} d^{2} e^{3} + 33 \, \sqrt{x e + d} A a b^{3} d^{2} e^{3} - 17 \, {\left(x e + d\right)}^{\frac{3}{2}} B a^{3} b e^{4} + 13 \, {\left(x e + d\right)}^{\frac{3}{2}} A a^{2} b^{2} e^{4} + 49 \, \sqrt{x e + d} B a^{3} b d e^{4} - 33 \, \sqrt{x e + d} A a^{2} b^{2} d e^{4} - 15 \, \sqrt{x e + d} B a^{4} e^{5} + 11 \, \sqrt{x e + d} A a^{3} b e^{5}}{4 \, {\left({\left(x e + d\right)} b - b d + a e\right)}^{2} b^{5}} + \frac{2 \, {\left(3 \, {\left(x e + d\right)}^{\frac{5}{2}} B b^{12} e + 10 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{12} d e + 45 \, \sqrt{x e + d} B b^{12} d^{2} e - 15 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b^{11} e^{2} + 5 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{12} e^{2} - 135 \, \sqrt{x e + d} B a b^{11} d e^{2} + 45 \, \sqrt{x e + d} A b^{12} d e^{2} + 90 \, \sqrt{x e + d} B a^{2} b^{10} e^{3} - 45 \, \sqrt{x e + d} A a b^{11} e^{3}\right)}}{15 \, b^{15}}"," ",0,"7/4*(4*B*b^3*d^3*e - 17*B*a*b^2*d^2*e^2 + 5*A*b^3*d^2*e^2 + 22*B*a^2*b*d*e^3 - 10*A*a*b^2*d*e^3 - 9*B*a^3*e^4 + 5*A*a^2*b*e^4)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*b^5) - 1/4*(4*(x*e + d)^(3/2)*B*b^4*d^3*e - 4*sqrt(x*e + d)*B*b^4*d^4*e - 25*(x*e + d)^(3/2)*B*a*b^3*d^2*e^2 + 13*(x*e + d)^(3/2)*A*b^4*d^2*e^2 + 27*sqrt(x*e + d)*B*a*b^3*d^3*e^2 - 11*sqrt(x*e + d)*A*b^4*d^3*e^2 + 38*(x*e + d)^(3/2)*B*a^2*b^2*d*e^3 - 26*(x*e + d)^(3/2)*A*a*b^3*d*e^3 - 57*sqrt(x*e + d)*B*a^2*b^2*d^2*e^3 + 33*sqrt(x*e + d)*A*a*b^3*d^2*e^3 - 17*(x*e + d)^(3/2)*B*a^3*b*e^4 + 13*(x*e + d)^(3/2)*A*a^2*b^2*e^4 + 49*sqrt(x*e + d)*B*a^3*b*d*e^4 - 33*sqrt(x*e + d)*A*a^2*b^2*d*e^4 - 15*sqrt(x*e + d)*B*a^4*e^5 + 11*sqrt(x*e + d)*A*a^3*b*e^5)/(((x*e + d)*b - b*d + a*e)^2*b^5) + 2/15*(3*(x*e + d)^(5/2)*B*b^12*e + 10*(x*e + d)^(3/2)*B*b^12*d*e + 45*sqrt(x*e + d)*B*b^12*d^2*e - 15*(x*e + d)^(3/2)*B*a*b^11*e^2 + 5*(x*e + d)^(3/2)*A*b^12*e^2 - 135*sqrt(x*e + d)*B*a*b^11*d*e^2 + 45*sqrt(x*e + d)*A*b^12*d*e^2 + 90*sqrt(x*e + d)*B*a^2*b^10*e^3 - 45*sqrt(x*e + d)*A*a*b^11*e^3)/b^15","B",0
1759,1,400,0,1.275758," ","integrate((B*x+A)*(e*x+d)^(5/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{5 \, {\left(4 \, B b^{2} d^{2} e - 11 \, B a b d e^{2} + 3 \, A b^{2} d e^{2} + 7 \, B a^{2} e^{3} - 3 \, A a b e^{3}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{4 \, \sqrt{-b^{2} d + a b e} b^{4}} - \frac{4 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{3} d^{2} e - 4 \, \sqrt{x e + d} B b^{3} d^{3} e - 17 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b^{2} d e^{2} + 9 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{3} d e^{2} + 19 \, \sqrt{x e + d} B a b^{2} d^{2} e^{2} - 7 \, \sqrt{x e + d} A b^{3} d^{2} e^{2} + 13 \, {\left(x e + d\right)}^{\frac{3}{2}} B a^{2} b e^{3} - 9 \, {\left(x e + d\right)}^{\frac{3}{2}} A a b^{2} e^{3} - 26 \, \sqrt{x e + d} B a^{2} b d e^{3} + 14 \, \sqrt{x e + d} A a b^{2} d e^{3} + 11 \, \sqrt{x e + d} B a^{3} e^{4} - 7 \, \sqrt{x e + d} A a^{2} b e^{4}}{4 \, {\left({\left(x e + d\right)} b - b d + a e\right)}^{2} b^{4}} + \frac{2 \, {\left({\left(x e + d\right)}^{\frac{3}{2}} B b^{6} e + 6 \, \sqrt{x e + d} B b^{6} d e - 9 \, \sqrt{x e + d} B a b^{5} e^{2} + 3 \, \sqrt{x e + d} A b^{6} e^{2}\right)}}{3 \, b^{9}}"," ",0,"5/4*(4*B*b^2*d^2*e - 11*B*a*b*d*e^2 + 3*A*b^2*d*e^2 + 7*B*a^2*e^3 - 3*A*a*b*e^3)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*b^4) - 1/4*(4*(x*e + d)^(3/2)*B*b^3*d^2*e - 4*sqrt(x*e + d)*B*b^3*d^3*e - 17*(x*e + d)^(3/2)*B*a*b^2*d*e^2 + 9*(x*e + d)^(3/2)*A*b^3*d*e^2 + 19*sqrt(x*e + d)*B*a*b^2*d^2*e^2 - 7*sqrt(x*e + d)*A*b^3*d^2*e^2 + 13*(x*e + d)^(3/2)*B*a^2*b*e^3 - 9*(x*e + d)^(3/2)*A*a*b^2*e^3 - 26*sqrt(x*e + d)*B*a^2*b*d*e^3 + 14*sqrt(x*e + d)*A*a*b^2*d*e^3 + 11*sqrt(x*e + d)*B*a^3*e^4 - 7*sqrt(x*e + d)*A*a^2*b*e^4)/(((x*e + d)*b - b*d + a*e)^2*b^4) + 2/3*((x*e + d)^(3/2)*B*b^6*e + 6*sqrt(x*e + d)*B*b^6*d*e - 9*sqrt(x*e + d)*B*a*b^5*e^2 + 3*sqrt(x*e + d)*A*b^6*e^2)/b^9","A",0
1760,1,236,0,1.311034," ","integrate((B*x+A)*(e*x+d)^(3/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{2 \, \sqrt{x e + d} B e}{b^{3}} + \frac{3 \, {\left(4 \, B b d e - 5 \, B a e^{2} + A b e^{2}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{4 \, \sqrt{-b^{2} d + a b e} b^{3}} - \frac{4 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{2} d e - 4 \, \sqrt{x e + d} B b^{2} d^{2} e - 9 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b e^{2} + 5 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{2} e^{2} + 11 \, \sqrt{x e + d} B a b d e^{2} - 3 \, \sqrt{x e + d} A b^{2} d e^{2} - 7 \, \sqrt{x e + d} B a^{2} e^{3} + 3 \, \sqrt{x e + d} A a b e^{3}}{4 \, {\left({\left(x e + d\right)} b - b d + a e\right)}^{2} b^{3}}"," ",0,"2*sqrt(x*e + d)*B*e/b^3 + 3/4*(4*B*b*d*e - 5*B*a*e^2 + A*b*e^2)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/(sqrt(-b^2*d + a*b*e)*b^3) - 1/4*(4*(x*e + d)^(3/2)*B*b^2*d*e - 4*sqrt(x*e + d)*B*b^2*d^2*e - 9*(x*e + d)^(3/2)*B*a*b*e^2 + 5*(x*e + d)^(3/2)*A*b^2*e^2 + 11*sqrt(x*e + d)*B*a*b*d*e^2 - 3*sqrt(x*e + d)*A*b^2*d*e^2 - 7*sqrt(x*e + d)*B*a^2*e^3 + 3*sqrt(x*e + d)*A*a*b*e^3)/(((x*e + d)*b - b*d + a*e)^2*b^3)","A",0
1761,1,245,0,1.243881," ","integrate((B*x+A)*(e*x+d)^(1/2)/(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(4 \, B b d e - 3 \, B a e^{2} - A b e^{2}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{4 \, {\left(b^{3} d - a b^{2} e\right)} \sqrt{-b^{2} d + a b e}} - \frac{4 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{2} d e - 4 \, \sqrt{x e + d} B b^{2} d^{2} e - 5 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b e^{2} + {\left(x e + d\right)}^{\frac{3}{2}} A b^{2} e^{2} + 7 \, \sqrt{x e + d} B a b d e^{2} + \sqrt{x e + d} A b^{2} d e^{2} - 3 \, \sqrt{x e + d} B a^{2} e^{3} - \sqrt{x e + d} A a b e^{3}}{4 \, {\left(b^{3} d - a b^{2} e\right)} {\left({\left(x e + d\right)} b - b d + a e\right)}^{2}}"," ",0,"1/4*(4*B*b*d*e - 3*B*a*e^2 - A*b*e^2)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/((b^3*d - a*b^2*e)*sqrt(-b^2*d + a*b*e)) - 1/4*(4*(x*e + d)^(3/2)*B*b^2*d*e - 4*sqrt(x*e + d)*B*b^2*d^2*e - 5*(x*e + d)^(3/2)*B*a*b*e^2 + (x*e + d)^(3/2)*A*b^2*e^2 + 7*sqrt(x*e + d)*B*a*b*d*e^2 + sqrt(x*e + d)*A*b^2*d*e^2 - 3*sqrt(x*e + d)*B*a^2*e^3 - sqrt(x*e + d)*A*a*b*e^3)/((b^3*d - a*b^2*e)*((x*e + d)*b - b*d + a*e)^2)","A",0
1762,1,266,0,1.261104," ","integrate((B*x+A)/(b*x+a)^3/(e*x+d)^(1/2),x, algorithm=""giac"")","-\frac{{\left(4 \, B b d e - B a e^{2} - 3 \, A b e^{2}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{4 \, {\left(b^{3} d^{2} - 2 \, a b^{2} d e + a^{2} b e^{2}\right)} \sqrt{-b^{2} d + a b e}} - \frac{4 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{2} d e - 4 \, \sqrt{x e + d} B b^{2} d^{2} e - {\left(x e + d\right)}^{\frac{3}{2}} B a b e^{2} - 3 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{2} e^{2} + 3 \, \sqrt{x e + d} B a b d e^{2} + 5 \, \sqrt{x e + d} A b^{2} d e^{2} + \sqrt{x e + d} B a^{2} e^{3} - 5 \, \sqrt{x e + d} A a b e^{3}}{4 \, {\left(b^{3} d^{2} - 2 \, a b^{2} d e + a^{2} b e^{2}\right)} {\left({\left(x e + d\right)} b - b d + a e\right)}^{2}}"," ",0,"-1/4*(4*B*b*d*e - B*a*e^2 - 3*A*b*e^2)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/((b^3*d^2 - 2*a*b^2*d*e + a^2*b*e^2)*sqrt(-b^2*d + a*b*e)) - 1/4*(4*(x*e + d)^(3/2)*B*b^2*d*e - 4*sqrt(x*e + d)*B*b^2*d^2*e - (x*e + d)^(3/2)*B*a*b*e^2 - 3*(x*e + d)^(3/2)*A*b^2*e^2 + 3*sqrt(x*e + d)*B*a*b*d*e^2 + 5*sqrt(x*e + d)*A*b^2*d*e^2 + sqrt(x*e + d)*B*a^2*e^3 - 5*sqrt(x*e + d)*A*a*b*e^3)/((b^3*d^2 - 2*a*b^2*d*e + a^2*b*e^2)*((x*e + d)*b - b*d + a*e)^2)","A",0
1763,1,346,0,1.326494," ","integrate((B*x+A)/(b*x+a)^3/(e*x+d)^(3/2),x, algorithm=""giac"")","-\frac{3 \, {\left(4 \, B b d e + B a e^{2} - 5 \, A b e^{2}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{4 \, {\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} \sqrt{-b^{2} d + a b e}} - \frac{2 \, {\left(B d e - A e^{2}\right)}}{{\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} \sqrt{x e + d}} - \frac{4 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{2} d e - 4 \, \sqrt{x e + d} B b^{2} d^{2} e + 3 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b e^{2} - 7 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{2} e^{2} - \sqrt{x e + d} B a b d e^{2} + 9 \, \sqrt{x e + d} A b^{2} d e^{2} + 5 \, \sqrt{x e + d} B a^{2} e^{3} - 9 \, \sqrt{x e + d} A a b e^{3}}{4 \, {\left(b^{3} d^{3} - 3 \, a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - a^{3} e^{3}\right)} {\left({\left(x e + d\right)} b - b d + a e\right)}^{2}}"," ",0,"-3/4*(4*B*b*d*e + B*a*e^2 - 5*A*b*e^2)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/((b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*sqrt(-b^2*d + a*b*e)) - 2*(B*d*e - A*e^2)/((b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*sqrt(x*e + d)) - 1/4*(4*(x*e + d)^(3/2)*B*b^2*d*e - 4*sqrt(x*e + d)*B*b^2*d^2*e + 3*(x*e + d)^(3/2)*B*a*b*e^2 - 7*(x*e + d)^(3/2)*A*b^2*e^2 - sqrt(x*e + d)*B*a*b*d*e^2 + 9*sqrt(x*e + d)*A*b^2*d*e^2 + 5*sqrt(x*e + d)*B*a^2*e^3 - 9*sqrt(x*e + d)*A*a*b*e^3)/((b^3*d^3 - 3*a*b^2*d^2*e + 3*a^2*b*d*e^2 - a^3*e^3)*((x*e + d)*b - b*d + a*e)^2)","A",0
1764,1,449,0,1.389230," ","integrate((B*x+A)/(b*x+a)^3/(e*x+d)^(5/2),x, algorithm=""giac"")","-\frac{5 \, {\left(4 \, B b^{2} d e + 3 \, B a b e^{2} - 7 \, A b^{2} e^{2}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{4 \, {\left(b^{4} d^{4} - 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} - 4 \, a^{3} b d e^{3} + a^{4} e^{4}\right)} \sqrt{-b^{2} d + a b e}} - \frac{2 \, {\left(6 \, {\left(x e + d\right)} B b d e + B b d^{2} e + 3 \, {\left(x e + d\right)} B a e^{2} - 9 \, {\left(x e + d\right)} A b e^{2} - B a d e^{2} - A b d e^{2} + A a e^{3}\right)}}{3 \, {\left(b^{4} d^{4} - 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} - 4 \, a^{3} b d e^{3} + a^{4} e^{4}\right)} {\left(x e + d\right)}^{\frac{3}{2}}} - \frac{4 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{3} d e - 4 \, \sqrt{x e + d} B b^{3} d^{2} e + 7 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b^{2} e^{2} - 11 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{3} e^{2} - 5 \, \sqrt{x e + d} B a b^{2} d e^{2} + 13 \, \sqrt{x e + d} A b^{3} d e^{2} + 9 \, \sqrt{x e + d} B a^{2} b e^{3} - 13 \, \sqrt{x e + d} A a b^{2} e^{3}}{4 \, {\left(b^{4} d^{4} - 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} - 4 \, a^{3} b d e^{3} + a^{4} e^{4}\right)} {\left({\left(x e + d\right)} b - b d + a e\right)}^{2}}"," ",0,"-5/4*(4*B*b^2*d*e + 3*B*a*b*e^2 - 7*A*b^2*e^2)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/((b^4*d^4 - 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 - 4*a^3*b*d*e^3 + a^4*e^4)*sqrt(-b^2*d + a*b*e)) - 2/3*(6*(x*e + d)*B*b*d*e + B*b*d^2*e + 3*(x*e + d)*B*a*e^2 - 9*(x*e + d)*A*b*e^2 - B*a*d*e^2 - A*b*d*e^2 + A*a*e^3)/((b^4*d^4 - 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 - 4*a^3*b*d*e^3 + a^4*e^4)*(x*e + d)^(3/2)) - 1/4*(4*(x*e + d)^(3/2)*B*b^3*d*e - 4*sqrt(x*e + d)*B*b^3*d^2*e + 7*(x*e + d)^(3/2)*B*a*b^2*e^2 - 11*(x*e + d)^(3/2)*A*b^3*e^2 - 5*sqrt(x*e + d)*B*a*b^2*d*e^2 + 13*sqrt(x*e + d)*A*b^3*d*e^2 + 9*sqrt(x*e + d)*B*a^2*b*e^3 - 13*sqrt(x*e + d)*A*a*b^2*e^3)/((b^4*d^4 - 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 - 4*a^3*b*d*e^3 + a^4*e^4)*((x*e + d)*b - b*d + a*e)^2)","B",0
1765,1,609,0,1.424427," ","integrate((B*x+A)/(b*x+a)^3/(e*x+d)^(7/2),x, algorithm=""giac"")","-\frac{7 \, {\left(4 \, B b^{3} d e + 5 \, B a b^{2} e^{2} - 9 \, A b^{3} e^{2}\right)} \arctan\left(\frac{\sqrt{x e + d} b}{\sqrt{-b^{2} d + a b e}}\right)}{4 \, {\left(b^{5} d^{5} - 5 \, a b^{4} d^{4} e + 10 \, a^{2} b^{3} d^{3} e^{2} - 10 \, a^{3} b^{2} d^{2} e^{3} + 5 \, a^{4} b d e^{4} - a^{5} e^{5}\right)} \sqrt{-b^{2} d + a b e}} - \frac{4 \, {\left(x e + d\right)}^{\frac{3}{2}} B b^{4} d e - 4 \, \sqrt{x e + d} B b^{4} d^{2} e + 11 \, {\left(x e + d\right)}^{\frac{3}{2}} B a b^{3} e^{2} - 15 \, {\left(x e + d\right)}^{\frac{3}{2}} A b^{4} e^{2} - 9 \, \sqrt{x e + d} B a b^{3} d e^{2} + 17 \, \sqrt{x e + d} A b^{4} d e^{2} + 13 \, \sqrt{x e + d} B a^{2} b^{2} e^{3} - 17 \, \sqrt{x e + d} A a b^{3} e^{3}}{4 \, {\left(b^{5} d^{5} - 5 \, a b^{4} d^{4} e + 10 \, a^{2} b^{3} d^{3} e^{2} - 10 \, a^{3} b^{2} d^{2} e^{3} + 5 \, a^{4} b d e^{4} - a^{5} e^{5}\right)} {\left({\left(x e + d\right)} b - b d + a e\right)}^{2}} - \frac{2 \, {\left(45 \, {\left(x e + d\right)}^{2} B b^{2} d e + 10 \, {\left(x e + d\right)} B b^{2} d^{2} e + 3 \, B b^{2} d^{3} e + 45 \, {\left(x e + d\right)}^{2} B a b e^{2} - 90 \, {\left(x e + d\right)}^{2} A b^{2} e^{2} - 5 \, {\left(x e + d\right)} B a b d e^{2} - 15 \, {\left(x e + d\right)} A b^{2} d e^{2} - 6 \, B a b d^{2} e^{2} - 3 \, A b^{2} d^{2} e^{2} - 5 \, {\left(x e + d\right)} B a^{2} e^{3} + 15 \, {\left(x e + d\right)} A a b e^{3} + 3 \, B a^{2} d e^{3} + 6 \, A a b d e^{3} - 3 \, A a^{2} e^{4}\right)}}{15 \, {\left(b^{5} d^{5} - 5 \, a b^{4} d^{4} e + 10 \, a^{2} b^{3} d^{3} e^{2} - 10 \, a^{3} b^{2} d^{2} e^{3} + 5 \, a^{4} b d e^{4} - a^{5} e^{5}\right)} {\left(x e + d\right)}^{\frac{5}{2}}}"," ",0,"-7/4*(4*B*b^3*d*e + 5*B*a*b^2*e^2 - 9*A*b^3*e^2)*arctan(sqrt(x*e + d)*b/sqrt(-b^2*d + a*b*e))/((b^5*d^5 - 5*a*b^4*d^4*e + 10*a^2*b^3*d^3*e^2 - 10*a^3*b^2*d^2*e^3 + 5*a^4*b*d*e^4 - a^5*e^5)*sqrt(-b^2*d + a*b*e)) - 1/4*(4*(x*e + d)^(3/2)*B*b^4*d*e - 4*sqrt(x*e + d)*B*b^4*d^2*e + 11*(x*e + d)^(3/2)*B*a*b^3*e^2 - 15*(x*e + d)^(3/2)*A*b^4*e^2 - 9*sqrt(x*e + d)*B*a*b^3*d*e^2 + 17*sqrt(x*e + d)*A*b^4*d*e^2 + 13*sqrt(x*e + d)*B*a^2*b^2*e^3 - 17*sqrt(x*e + d)*A*a*b^3*e^3)/((b^5*d^5 - 5*a*b^4*d^4*e + 10*a^2*b^3*d^3*e^2 - 10*a^3*b^2*d^2*e^3 + 5*a^4*b*d*e^4 - a^5*e^5)*((x*e + d)*b - b*d + a*e)^2) - 2/15*(45*(x*e + d)^2*B*b^2*d*e + 10*(x*e + d)*B*b^2*d^2*e + 3*B*b^2*d^3*e + 45*(x*e + d)^2*B*a*b*e^2 - 90*(x*e + d)^2*A*b^2*e^2 - 5*(x*e + d)*B*a*b*d*e^2 - 15*(x*e + d)*A*b^2*d*e^2 - 6*B*a*b*d^2*e^2 - 3*A*b^2*d^2*e^2 - 5*(x*e + d)*B*a^2*e^3 + 15*(x*e + d)*A*a*b*e^3 + 3*B*a^2*d*e^3 + 6*A*a*b*d*e^3 - 3*A*a^2*e^4)/((b^5*d^5 - 5*a*b^4*d^4*e + 10*a^2*b^3*d^3*e^2 - 10*a^3*b^2*d^2*e^3 + 5*a^4*b*d*e^4 - a^5*e^5)*(x*e + d)^(5/2))","B",0
1766,1,387,0,1.298533," ","integrate((b*x+a)*(f*x+e)^(5/2)/(d*x+c),x, algorithm=""giac"")","\frac{2 \, {\left(b c^{4} f^{3} - a c^{3} d f^{3} - 3 \, b c^{3} d f^{2} e + 3 \, a c^{2} d^{2} f^{2} e + 3 \, b c^{2} d^{2} f e^{2} - 3 \, a c d^{3} f e^{2} - b c d^{3} e^{3} + a d^{4} e^{3}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} d^{4}} + \frac{2 \, {\left(15 \, {\left(f x + e\right)}^{\frac{7}{2}} b d^{6} f^{6} - 21 \, {\left(f x + e\right)}^{\frac{5}{2}} b c d^{5} f^{7} + 21 \, {\left(f x + e\right)}^{\frac{5}{2}} a d^{6} f^{7} + 35 \, {\left(f x + e\right)}^{\frac{3}{2}} b c^{2} d^{4} f^{8} - 35 \, {\left(f x + e\right)}^{\frac{3}{2}} a c d^{5} f^{8} - 105 \, \sqrt{f x + e} b c^{3} d^{3} f^{9} + 105 \, \sqrt{f x + e} a c^{2} d^{4} f^{9} - 35 \, {\left(f x + e\right)}^{\frac{3}{2}} b c d^{5} f^{7} e + 35 \, {\left(f x + e\right)}^{\frac{3}{2}} a d^{6} f^{7} e + 210 \, \sqrt{f x + e} b c^{2} d^{4} f^{8} e - 210 \, \sqrt{f x + e} a c d^{5} f^{8} e - 105 \, \sqrt{f x + e} b c d^{5} f^{7} e^{2} + 105 \, \sqrt{f x + e} a d^{6} f^{7} e^{2}\right)}}{105 \, d^{7} f^{7}}"," ",0,"2*(b*c^4*f^3 - a*c^3*d*f^3 - 3*b*c^3*d*f^2*e + 3*a*c^2*d^2*f^2*e + 3*b*c^2*d^2*f*e^2 - 3*a*c*d^3*f*e^2 - b*c*d^3*e^3 + a*d^4*e^3)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*d^4) + 2/105*(15*(f*x + e)^(7/2)*b*d^6*f^6 - 21*(f*x + e)^(5/2)*b*c*d^5*f^7 + 21*(f*x + e)^(5/2)*a*d^6*f^7 + 35*(f*x + e)^(3/2)*b*c^2*d^4*f^8 - 35*(f*x + e)^(3/2)*a*c*d^5*f^8 - 105*sqrt(f*x + e)*b*c^3*d^3*f^9 + 105*sqrt(f*x + e)*a*c^2*d^4*f^9 - 35*(f*x + e)^(3/2)*b*c*d^5*f^7*e + 35*(f*x + e)^(3/2)*a*d^6*f^7*e + 210*sqrt(f*x + e)*b*c^2*d^4*f^8*e - 210*sqrt(f*x + e)*a*c*d^5*f^8*e - 105*sqrt(f*x + e)*b*c*d^5*f^7*e^2 + 105*sqrt(f*x + e)*a*d^6*f^7*e^2)/(d^7*f^7)","B",0
1767,1,238,0,1.211278," ","integrate((b*x+a)*(f*x+e)^(3/2)/(d*x+c),x, algorithm=""giac"")","-\frac{2 \, {\left(b c^{3} f^{2} - a c^{2} d f^{2} - 2 \, b c^{2} d f e + 2 \, a c d^{2} f e + b c d^{2} e^{2} - a d^{3} e^{2}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} d^{3}} + \frac{2 \, {\left(3 \, {\left(f x + e\right)}^{\frac{5}{2}} b d^{4} f^{4} - 5 \, {\left(f x + e\right)}^{\frac{3}{2}} b c d^{3} f^{5} + 5 \, {\left(f x + e\right)}^{\frac{3}{2}} a d^{4} f^{5} + 15 \, \sqrt{f x + e} b c^{2} d^{2} f^{6} - 15 \, \sqrt{f x + e} a c d^{3} f^{6} - 15 \, \sqrt{f x + e} b c d^{3} f^{5} e + 15 \, \sqrt{f x + e} a d^{4} f^{5} e\right)}}{15 \, d^{5} f^{5}}"," ",0,"-2*(b*c^3*f^2 - a*c^2*d*f^2 - 2*b*c^2*d*f*e + 2*a*c*d^2*f*e + b*c*d^2*e^2 - a*d^3*e^2)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*d^3) + 2/15*(3*(f*x + e)^(5/2)*b*d^4*f^4 - 5*(f*x + e)^(3/2)*b*c*d^3*f^5 + 5*(f*x + e)^(3/2)*a*d^4*f^5 + 15*sqrt(f*x + e)*b*c^2*d^2*f^6 - 15*sqrt(f*x + e)*a*c*d^3*f^6 - 15*sqrt(f*x + e)*b*c*d^3*f^5*e + 15*sqrt(f*x + e)*a*d^4*f^5*e)/(d^5*f^5)","B",0
1768,1,130,0,1.213585," ","integrate((b*x+a)*(f*x+e)^(1/2)/(d*x+c),x, algorithm=""giac"")","\frac{2 \, {\left(b c^{2} f - a c d f - b c d e + a d^{2} e\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} d^{2}} + \frac{2 \, {\left({\left(f x + e\right)}^{\frac{3}{2}} b d^{2} f^{2} - 3 \, \sqrt{f x + e} b c d f^{3} + 3 \, \sqrt{f x + e} a d^{2} f^{3}\right)}}{3 \, d^{3} f^{3}}"," ",0,"2*(b*c^2*f - a*c*d*f - b*c*d*e + a*d^2*e)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*d^2) + 2/3*((f*x + e)^(3/2)*b*d^2*f^2 - 3*sqrt(f*x + e)*b*c*d*f^3 + 3*sqrt(f*x + e)*a*d^2*f^3)/(d^3*f^3)","A",0
1769,1,70,0,1.199755," ","integrate((b*x+a)/(d*x+c)/(f*x+e)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b c - a d\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} d} + \frac{2 \, \sqrt{f x + e} b}{d f}"," ",0,"-2*(b*c - a*d)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*d) + 2*sqrt(f*x + e)*b/(d*f)","A",0
1770,1,94,0,1.199205," ","integrate((b*x+a)/(d*x+c)/(f*x+e)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(b c - a d\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} {\left(c f - d e\right)}} - \frac{2 \, {\left(a f - b e\right)}}{{\left(c f^{2} - d f e\right)} \sqrt{f x + e}}"," ",0,"2*(b*c - a*d)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*(c*f - d*e)) - 2*(a*f - b*e)/((c*f^2 - d*f*e)*sqrt(f*x + e))","A",0
1771,1,160,0,1.153081," ","integrate((b*x+a)/(d*x+c)/(f*x+e)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b c d - a d^{2}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{{\left(c^{2} f^{2} - 2 \, c d f e + d^{2} e^{2}\right)} \sqrt{c d f - d^{2} e}} - \frac{2 \, {\left(3 \, {\left(f x + e\right)} b c f - 3 \, {\left(f x + e\right)} a d f + a c f^{2} - b c f e - a d f e + b d e^{2}\right)}}{3 \, {\left(c^{2} f^{3} - 2 \, c d f^{2} e + d^{2} f e^{2}\right)} {\left(f x + e\right)}^{\frac{3}{2}}}"," ",0,"-2*(b*c*d - a*d^2)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/((c^2*f^2 - 2*c*d*f*e + d^2*e^2)*sqrt(c*d*f - d^2*e)) - 2/3*(3*(f*x + e)*b*c*f - 3*(f*x + e)*a*d*f + a*c*f^2 - b*c*f*e - a*d*f*e + b*d*e^2)/((c^2*f^3 - 2*c*d*f^2*e + d^2*f*e^2)*(f*x + e)^(3/2))","A",0
1772,1,285,0,1.269353," ","integrate((b*x+a)/(d*x+c)/(f*x+e)^(7/2),x, algorithm=""giac"")","\frac{2 \, {\left(b c d^{2} - a d^{3}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{{\left(c^{3} f^{3} - 3 \, c^{2} d f^{2} e + 3 \, c d^{2} f e^{2} - d^{3} e^{3}\right)} \sqrt{c d f - d^{2} e}} + \frac{2 \, {\left(15 \, {\left(f x + e\right)}^{2} b c d f - 15 \, {\left(f x + e\right)}^{2} a d^{2} f - 5 \, {\left(f x + e\right)} b c^{2} f^{2} + 5 \, {\left(f x + e\right)} a c d f^{2} - 3 \, a c^{2} f^{3} + 5 \, {\left(f x + e\right)} b c d f e - 5 \, {\left(f x + e\right)} a d^{2} f e + 3 \, b c^{2} f^{2} e + 6 \, a c d f^{2} e - 6 \, b c d f e^{2} - 3 \, a d^{2} f e^{2} + 3 \, b d^{2} e^{3}\right)}}{15 \, {\left(c^{3} f^{4} - 3 \, c^{2} d f^{3} e + 3 \, c d^{2} f^{2} e^{2} - d^{3} f e^{3}\right)} {\left(f x + e\right)}^{\frac{5}{2}}}"," ",0,"2*(b*c*d^2 - a*d^3)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/((c^3*f^3 - 3*c^2*d*f^2*e + 3*c*d^2*f*e^2 - d^3*e^3)*sqrt(c*d*f - d^2*e)) + 2/15*(15*(f*x + e)^2*b*c*d*f - 15*(f*x + e)^2*a*d^2*f - 5*(f*x + e)*b*c^2*f^2 + 5*(f*x + e)*a*c*d*f^2 - 3*a*c^2*f^3 + 5*(f*x + e)*b*c*d*f*e - 5*(f*x + e)*a*d^2*f*e + 3*b*c^2*f^2*e + 6*a*c*d*f^2*e - 6*b*c*d*f*e^2 - 3*a*d^2*f*e^2 + 3*b*d^2*e^3)/((c^3*f^4 - 3*c^2*d*f^3*e + 3*c*d^2*f^2*e^2 - d^3*f*e^3)*(f*x + e)^(5/2))","B",0
1773,1,450,0,1.285540," ","integrate((b*x+a)/(d*x+c)/(f*x+e)^(9/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b c d^{3} - a d^{4}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{{\left(c^{4} f^{4} - 4 \, c^{3} d f^{3} e + 6 \, c^{2} d^{2} f^{2} e^{2} - 4 \, c d^{3} f e^{3} + d^{4} e^{4}\right)} \sqrt{c d f - d^{2} e}} - \frac{2 \, {\left(105 \, {\left(f x + e\right)}^{3} b c d^{2} f - 105 \, {\left(f x + e\right)}^{3} a d^{3} f - 35 \, {\left(f x + e\right)}^{2} b c^{2} d f^{2} + 35 \, {\left(f x + e\right)}^{2} a c d^{2} f^{2} + 21 \, {\left(f x + e\right)} b c^{3} f^{3} - 21 \, {\left(f x + e\right)} a c^{2} d f^{3} + 15 \, a c^{3} f^{4} + 35 \, {\left(f x + e\right)}^{2} b c d^{2} f e - 35 \, {\left(f x + e\right)}^{2} a d^{3} f e - 42 \, {\left(f x + e\right)} b c^{2} d f^{2} e + 42 \, {\left(f x + e\right)} a c d^{2} f^{2} e - 15 \, b c^{3} f^{3} e - 45 \, a c^{2} d f^{3} e + 21 \, {\left(f x + e\right)} b c d^{2} f e^{2} - 21 \, {\left(f x + e\right)} a d^{3} f e^{2} + 45 \, b c^{2} d f^{2} e^{2} + 45 \, a c d^{2} f^{2} e^{2} - 45 \, b c d^{2} f e^{3} - 15 \, a d^{3} f e^{3} + 15 \, b d^{3} e^{4}\right)}}{105 \, {\left(c^{4} f^{5} - 4 \, c^{3} d f^{4} e + 6 \, c^{2} d^{2} f^{3} e^{2} - 4 \, c d^{3} f^{2} e^{3} + d^{4} f e^{4}\right)} {\left(f x + e\right)}^{\frac{7}{2}}}"," ",0,"-2*(b*c*d^3 - a*d^4)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/((c^4*f^4 - 4*c^3*d*f^3*e + 6*c^2*d^2*f^2*e^2 - 4*c*d^3*f*e^3 + d^4*e^4)*sqrt(c*d*f - d^2*e)) - 2/105*(105*(f*x + e)^3*b*c*d^2*f - 105*(f*x + e)^3*a*d^3*f - 35*(f*x + e)^2*b*c^2*d*f^2 + 35*(f*x + e)^2*a*c*d^2*f^2 + 21*(f*x + e)*b*c^3*f^3 - 21*(f*x + e)*a*c^2*d*f^3 + 15*a*c^3*f^4 + 35*(f*x + e)^2*b*c*d^2*f*e - 35*(f*x + e)^2*a*d^3*f*e - 42*(f*x + e)*b*c^2*d*f^2*e + 42*(f*x + e)*a*c*d^2*f^2*e - 15*b*c^3*f^3*e - 45*a*c^2*d*f^3*e + 21*(f*x + e)*b*c*d^2*f*e^2 - 21*(f*x + e)*a*d^3*f*e^2 + 45*b*c^2*d*f^2*e^2 + 45*a*c*d^2*f^2*e^2 - 45*b*c*d^2*f*e^3 - 15*a*d^3*f*e^3 + 15*b*d^3*e^4)/((c^4*f^5 - 4*c^3*d*f^4*e + 6*c^2*d^2*f^3*e^2 - 4*c*d^3*f^2*e^3 + d^4*f*e^4)*(f*x + e)^(7/2))","B",0
1774,1,673,0,1.413768," ","integrate((b*x+a)^2*(f*x+e)^(5/2)/(d*x+c),x, algorithm=""giac"")","-\frac{2 \, {\left(b^{2} c^{5} f^{3} - 2 \, a b c^{4} d f^{3} + a^{2} c^{3} d^{2} f^{3} - 3 \, b^{2} c^{4} d f^{2} e + 6 \, a b c^{3} d^{2} f^{2} e - 3 \, a^{2} c^{2} d^{3} f^{2} e + 3 \, b^{2} c^{3} d^{2} f e^{2} - 6 \, a b c^{2} d^{3} f e^{2} + 3 \, a^{2} c d^{4} f e^{2} - b^{2} c^{2} d^{3} e^{3} + 2 \, a b c d^{4} e^{3} - a^{2} d^{5} e^{3}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} d^{5}} + \frac{2 \, {\left(35 \, {\left(f x + e\right)}^{\frac{9}{2}} b^{2} d^{8} f^{16} - 45 \, {\left(f x + e\right)}^{\frac{7}{2}} b^{2} c d^{7} f^{17} + 90 \, {\left(f x + e\right)}^{\frac{7}{2}} a b d^{8} f^{17} + 63 \, {\left(f x + e\right)}^{\frac{5}{2}} b^{2} c^{2} d^{6} f^{18} - 126 \, {\left(f x + e\right)}^{\frac{5}{2}} a b c d^{7} f^{18} + 63 \, {\left(f x + e\right)}^{\frac{5}{2}} a^{2} d^{8} f^{18} - 105 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{2} c^{3} d^{5} f^{19} + 210 \, {\left(f x + e\right)}^{\frac{3}{2}} a b c^{2} d^{6} f^{19} - 105 \, {\left(f x + e\right)}^{\frac{3}{2}} a^{2} c d^{7} f^{19} + 315 \, \sqrt{f x + e} b^{2} c^{4} d^{4} f^{20} - 630 \, \sqrt{f x + e} a b c^{3} d^{5} f^{20} + 315 \, \sqrt{f x + e} a^{2} c^{2} d^{6} f^{20} - 45 \, {\left(f x + e\right)}^{\frac{7}{2}} b^{2} d^{8} f^{16} e + 105 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{2} c^{2} d^{6} f^{18} e - 210 \, {\left(f x + e\right)}^{\frac{3}{2}} a b c d^{7} f^{18} e + 105 \, {\left(f x + e\right)}^{\frac{3}{2}} a^{2} d^{8} f^{18} e - 630 \, \sqrt{f x + e} b^{2} c^{3} d^{5} f^{19} e + 1260 \, \sqrt{f x + e} a b c^{2} d^{6} f^{19} e - 630 \, \sqrt{f x + e} a^{2} c d^{7} f^{19} e + 315 \, \sqrt{f x + e} b^{2} c^{2} d^{6} f^{18} e^{2} - 630 \, \sqrt{f x + e} a b c d^{7} f^{18} e^{2} + 315 \, \sqrt{f x + e} a^{2} d^{8} f^{18} e^{2}\right)}}{315 \, d^{9} f^{18}}"," ",0,"-2*(b^2*c^5*f^3 - 2*a*b*c^4*d*f^3 + a^2*c^3*d^2*f^3 - 3*b^2*c^4*d*f^2*e + 6*a*b*c^3*d^2*f^2*e - 3*a^2*c^2*d^3*f^2*e + 3*b^2*c^3*d^2*f*e^2 - 6*a*b*c^2*d^3*f*e^2 + 3*a^2*c*d^4*f*e^2 - b^2*c^2*d^3*e^3 + 2*a*b*c*d^4*e^3 - a^2*d^5*e^3)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*d^5) + 2/315*(35*(f*x + e)^(9/2)*b^2*d^8*f^16 - 45*(f*x + e)^(7/2)*b^2*c*d^7*f^17 + 90*(f*x + e)^(7/2)*a*b*d^8*f^17 + 63*(f*x + e)^(5/2)*b^2*c^2*d^6*f^18 - 126*(f*x + e)^(5/2)*a*b*c*d^7*f^18 + 63*(f*x + e)^(5/2)*a^2*d^8*f^18 - 105*(f*x + e)^(3/2)*b^2*c^3*d^5*f^19 + 210*(f*x + e)^(3/2)*a*b*c^2*d^6*f^19 - 105*(f*x + e)^(3/2)*a^2*c*d^7*f^19 + 315*sqrt(f*x + e)*b^2*c^4*d^4*f^20 - 630*sqrt(f*x + e)*a*b*c^3*d^5*f^20 + 315*sqrt(f*x + e)*a^2*c^2*d^6*f^20 - 45*(f*x + e)^(7/2)*b^2*d^8*f^16*e + 105*(f*x + e)^(3/2)*b^2*c^2*d^6*f^18*e - 210*(f*x + e)^(3/2)*a*b*c*d^7*f^18*e + 105*(f*x + e)^(3/2)*a^2*d^8*f^18*e - 630*sqrt(f*x + e)*b^2*c^3*d^5*f^19*e + 1260*sqrt(f*x + e)*a*b*c^2*d^6*f^19*e - 630*sqrt(f*x + e)*a^2*c*d^7*f^19*e + 315*sqrt(f*x + e)*b^2*c^2*d^6*f^18*e^2 - 630*sqrt(f*x + e)*a*b*c*d^7*f^18*e^2 + 315*sqrt(f*x + e)*a^2*d^8*f^18*e^2)/(d^9*f^18)","B",0
1775,1,424,0,1.322485," ","integrate((b*x+a)^2*(f*x+e)^(3/2)/(d*x+c),x, algorithm=""giac"")","\frac{2 \, {\left(b^{2} c^{4} f^{2} - 2 \, a b c^{3} d f^{2} + a^{2} c^{2} d^{2} f^{2} - 2 \, b^{2} c^{3} d f e + 4 \, a b c^{2} d^{2} f e - 2 \, a^{2} c d^{3} f e + b^{2} c^{2} d^{2} e^{2} - 2 \, a b c d^{3} e^{2} + a^{2} d^{4} e^{2}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} d^{4}} + \frac{2 \, {\left(15 \, {\left(f x + e\right)}^{\frac{7}{2}} b^{2} d^{6} f^{12} - 21 \, {\left(f x + e\right)}^{\frac{5}{2}} b^{2} c d^{5} f^{13} + 42 \, {\left(f x + e\right)}^{\frac{5}{2}} a b d^{6} f^{13} + 35 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{2} c^{2} d^{4} f^{14} - 70 \, {\left(f x + e\right)}^{\frac{3}{2}} a b c d^{5} f^{14} + 35 \, {\left(f x + e\right)}^{\frac{3}{2}} a^{2} d^{6} f^{14} - 105 \, \sqrt{f x + e} b^{2} c^{3} d^{3} f^{15} + 210 \, \sqrt{f x + e} a b c^{2} d^{4} f^{15} - 105 \, \sqrt{f x + e} a^{2} c d^{5} f^{15} - 21 \, {\left(f x + e\right)}^{\frac{5}{2}} b^{2} d^{6} f^{12} e + 105 \, \sqrt{f x + e} b^{2} c^{2} d^{4} f^{14} e - 210 \, \sqrt{f x + e} a b c d^{5} f^{14} e + 105 \, \sqrt{f x + e} a^{2} d^{6} f^{14} e\right)}}{105 \, d^{7} f^{14}}"," ",0,"2*(b^2*c^4*f^2 - 2*a*b*c^3*d*f^2 + a^2*c^2*d^2*f^2 - 2*b^2*c^3*d*f*e + 4*a*b*c^2*d^2*f*e - 2*a^2*c*d^3*f*e + b^2*c^2*d^2*e^2 - 2*a*b*c*d^3*e^2 + a^2*d^4*e^2)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*d^4) + 2/105*(15*(f*x + e)^(7/2)*b^2*d^6*f^12 - 21*(f*x + e)^(5/2)*b^2*c*d^5*f^13 + 42*(f*x + e)^(5/2)*a*b*d^6*f^13 + 35*(f*x + e)^(3/2)*b^2*c^2*d^4*f^14 - 70*(f*x + e)^(3/2)*a*b*c*d^5*f^14 + 35*(f*x + e)^(3/2)*a^2*d^6*f^14 - 105*sqrt(f*x + e)*b^2*c^3*d^3*f^15 + 210*sqrt(f*x + e)*a*b*c^2*d^4*f^15 - 105*sqrt(f*x + e)*a^2*c*d^5*f^15 - 21*(f*x + e)^(5/2)*b^2*d^6*f^12*e + 105*sqrt(f*x + e)*b^2*c^2*d^4*f^14*e - 210*sqrt(f*x + e)*a*b*c*d^5*f^14*e + 105*sqrt(f*x + e)*a^2*d^6*f^14*e)/(d^7*f^14)","B",0
1776,1,250,0,1.273823," ","integrate((b*x+a)^2*(f*x+e)^(1/2)/(d*x+c),x, algorithm=""giac"")","-\frac{2 \, {\left(b^{2} c^{3} f - 2 \, a b c^{2} d f + a^{2} c d^{2} f - b^{2} c^{2} d e + 2 \, a b c d^{2} e - a^{2} d^{3} e\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} d^{3}} + \frac{2 \, {\left(3 \, {\left(f x + e\right)}^{\frac{5}{2}} b^{2} d^{4} f^{8} - 5 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{2} c d^{3} f^{9} + 10 \, {\left(f x + e\right)}^{\frac{3}{2}} a b d^{4} f^{9} + 15 \, \sqrt{f x + e} b^{2} c^{2} d^{2} f^{10} - 30 \, \sqrt{f x + e} a b c d^{3} f^{10} + 15 \, \sqrt{f x + e} a^{2} d^{4} f^{10} - 5 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{2} d^{4} f^{8} e\right)}}{15 \, d^{5} f^{10}}"," ",0,"-2*(b^2*c^3*f - 2*a*b*c^2*d*f + a^2*c*d^2*f - b^2*c^2*d*e + 2*a*b*c*d^2*e - a^2*d^3*e)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*d^3) + 2/15*(3*(f*x + e)^(5/2)*b^2*d^4*f^8 - 5*(f*x + e)^(3/2)*b^2*c*d^3*f^9 + 10*(f*x + e)^(3/2)*a*b*d^4*f^9 + 15*sqrt(f*x + e)*b^2*c^2*d^2*f^10 - 30*sqrt(f*x + e)*a*b*c*d^3*f^10 + 15*sqrt(f*x + e)*a^2*d^4*f^10 - 5*(f*x + e)^(3/2)*b^2*d^4*f^8*e)/(d^5*f^10)","B",0
1777,1,150,0,1.144003," ","integrate((b*x+a)^2/(d*x+c)/(f*x+e)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} d^{2}} + \frac{2 \, {\left({\left(f x + e\right)}^{\frac{3}{2}} b^{2} d^{2} f^{4} - 3 \, \sqrt{f x + e} b^{2} c d f^{5} + 6 \, \sqrt{f x + e} a b d^{2} f^{5} - 3 \, \sqrt{f x + e} b^{2} d^{2} f^{4} e\right)}}{3 \, d^{3} f^{6}}"," ",0,"2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*d^2) + 2/3*((f*x + e)^(3/2)*b^2*d^2*f^4 - 3*sqrt(f*x + e)*b^2*c*d*f^5 + 6*sqrt(f*x + e)*a*b*d^2*f^5 - 3*sqrt(f*x + e)*b^2*d^2*f^4*e)/(d^3*f^6)","A",0
1778,1,129,0,1.325570," ","integrate((b*x+a)^2/(d*x+c)/(f*x+e)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{{\left(c d f - d^{2} e\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(a^{2} f^{2} - 2 \, a b f e + b^{2} e^{2}\right)}}{{\left(c f^{3} - d f^{2} e\right)} \sqrt{f x + e}} + \frac{2 \, \sqrt{f x + e} b^{2}}{d f^{2}}"," ",0,"-2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(c*d*f - d^2*e)^(3/2) - 2*(a^2*f^2 - 2*a*b*f*e + b^2*e^2)/((c*f^3 - d*f^2*e)*sqrt(f*x + e)) + 2*sqrt(f*x + e)*b^2/(d*f^2)","A",0
1779,1,236,0,1.323245," ","integrate((b*x+a)^2/(d*x+c)/(f*x+e)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{{\left(c^{2} f^{2} - 2 \, c d f e + d^{2} e^{2}\right)} \sqrt{c d f - d^{2} e}} - \frac{2 \, {\left(6 \, {\left(f x + e\right)} a b c f^{2} - 3 \, {\left(f x + e\right)} a^{2} d f^{2} + a^{2} c f^{3} - 6 \, {\left(f x + e\right)} b^{2} c f e - 2 \, a b c f^{2} e - a^{2} d f^{2} e + 3 \, {\left(f x + e\right)} b^{2} d e^{2} + b^{2} c f e^{2} + 2 \, a b d f e^{2} - b^{2} d e^{3}\right)}}{3 \, {\left(c^{2} f^{4} - 2 \, c d f^{3} e + d^{2} f^{2} e^{2}\right)} {\left(f x + e\right)}^{\frac{3}{2}}}"," ",0,"2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/((c^2*f^2 - 2*c*d*f*e + d^2*e^2)*sqrt(c*d*f - d^2*e)) - 2/3*(6*(f*x + e)*a*b*c*f^2 - 3*(f*x + e)*a^2*d*f^2 + a^2*c*f^3 - 6*(f*x + e)*b^2*c*f*e - 2*a*b*c*f^2*e - a^2*d*f^2*e + 3*(f*x + e)*b^2*d*e^2 + b^2*c*f*e^2 + 2*a*b*d*f*e^2 - b^2*d*e^3)/((c^2*f^4 - 2*c*d*f^3*e + d^2*f^2*e^2)*(f*x + e)^(3/2))","A",0
1780,1,432,0,1.441378," ","integrate((b*x+a)^2/(d*x+c)/(f*x+e)^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{{\left(c^{3} f^{3} - 3 \, c^{2} d f^{2} e + 3 \, c d^{2} f e^{2} - d^{3} e^{3}\right)} \sqrt{c d f - d^{2} e}} - \frac{2 \, {\left(15 \, {\left(f x + e\right)}^{2} b^{2} c^{2} f^{2} - 30 \, {\left(f x + e\right)}^{2} a b c d f^{2} + 15 \, {\left(f x + e\right)}^{2} a^{2} d^{2} f^{2} + 10 \, {\left(f x + e\right)} a b c^{2} f^{3} - 5 \, {\left(f x + e\right)} a^{2} c d f^{3} + 3 \, a^{2} c^{2} f^{4} - 10 \, {\left(f x + e\right)} b^{2} c^{2} f^{2} e - 10 \, {\left(f x + e\right)} a b c d f^{2} e + 5 \, {\left(f x + e\right)} a^{2} d^{2} f^{2} e - 6 \, a b c^{2} f^{3} e - 6 \, a^{2} c d f^{3} e + 15 \, {\left(f x + e\right)} b^{2} c d f e^{2} + 3 \, b^{2} c^{2} f^{2} e^{2} + 12 \, a b c d f^{2} e^{2} + 3 \, a^{2} d^{2} f^{2} e^{2} - 5 \, {\left(f x + e\right)} b^{2} d^{2} e^{3} - 6 \, b^{2} c d f e^{3} - 6 \, a b d^{2} f e^{3} + 3 \, b^{2} d^{2} e^{4}\right)}}{15 \, {\left(c^{3} f^{5} - 3 \, c^{2} d f^{4} e + 3 \, c d^{2} f^{3} e^{2} - d^{3} f^{2} e^{3}\right)} {\left(f x + e\right)}^{\frac{5}{2}}}"," ",0,"-2*(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/((c^3*f^3 - 3*c^2*d*f^2*e + 3*c*d^2*f*e^2 - d^3*e^3)*sqrt(c*d*f - d^2*e)) - 2/15*(15*(f*x + e)^2*b^2*c^2*f^2 - 30*(f*x + e)^2*a*b*c*d*f^2 + 15*(f*x + e)^2*a^2*d^2*f^2 + 10*(f*x + e)*a*b*c^2*f^3 - 5*(f*x + e)*a^2*c*d*f^3 + 3*a^2*c^2*f^4 - 10*(f*x + e)*b^2*c^2*f^2*e - 10*(f*x + e)*a*b*c*d*f^2*e + 5*(f*x + e)*a^2*d^2*f^2*e - 6*a*b*c^2*f^3*e - 6*a^2*c*d*f^3*e + 15*(f*x + e)*b^2*c*d*f*e^2 + 3*b^2*c^2*f^2*e^2 + 12*a*b*c*d*f^2*e^2 + 3*a^2*d^2*f^2*e^2 - 5*(f*x + e)*b^2*d^2*e^3 - 6*b^2*c*d*f*e^3 - 6*a*b*d^2*f*e^3 + 3*b^2*d^2*e^4)/((c^3*f^5 - 3*c^2*d*f^4*e + 3*c*d^2*f^3*e^2 - d^3*f^2*e^3)*(f*x + e)^(5/2))","B",0
1781,1,695,0,1.370774," ","integrate((b*x+a)^2/(d*x+c)/(f*x+e)^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{{\left(c^{4} f^{4} - 4 \, c^{3} d f^{3} e + 6 \, c^{2} d^{2} f^{2} e^{2} - 4 \, c d^{3} f e^{3} + d^{4} e^{4}\right)} \sqrt{c d f - d^{2} e}} + \frac{2 \, {\left(105 \, {\left(f x + e\right)}^{3} b^{2} c^{2} d f^{2} - 210 \, {\left(f x + e\right)}^{3} a b c d^{2} f^{2} + 105 \, {\left(f x + e\right)}^{3} a^{2} d^{3} f^{2} - 35 \, {\left(f x + e\right)}^{2} b^{2} c^{3} f^{3} + 70 \, {\left(f x + e\right)}^{2} a b c^{2} d f^{3} - 35 \, {\left(f x + e\right)}^{2} a^{2} c d^{2} f^{3} - 42 \, {\left(f x + e\right)} a b c^{3} f^{4} + 21 \, {\left(f x + e\right)} a^{2} c^{2} d f^{4} - 15 \, a^{2} c^{3} f^{5} + 35 \, {\left(f x + e\right)}^{2} b^{2} c^{2} d f^{2} e - 70 \, {\left(f x + e\right)}^{2} a b c d^{2} f^{2} e + 35 \, {\left(f x + e\right)}^{2} a^{2} d^{3} f^{2} e + 42 \, {\left(f x + e\right)} b^{2} c^{3} f^{3} e + 84 \, {\left(f x + e\right)} a b c^{2} d f^{3} e - 42 \, {\left(f x + e\right)} a^{2} c d^{2} f^{3} e + 30 \, a b c^{3} f^{4} e + 45 \, a^{2} c^{2} d f^{4} e - 105 \, {\left(f x + e\right)} b^{2} c^{2} d f^{2} e^{2} - 42 \, {\left(f x + e\right)} a b c d^{2} f^{2} e^{2} + 21 \, {\left(f x + e\right)} a^{2} d^{3} f^{2} e^{2} - 15 \, b^{2} c^{3} f^{3} e^{2} - 90 \, a b c^{2} d f^{3} e^{2} - 45 \, a^{2} c d^{2} f^{3} e^{2} + 84 \, {\left(f x + e\right)} b^{2} c d^{2} f e^{3} + 45 \, b^{2} c^{2} d f^{2} e^{3} + 90 \, a b c d^{2} f^{2} e^{3} + 15 \, a^{2} d^{3} f^{2} e^{3} - 21 \, {\left(f x + e\right)} b^{2} d^{3} e^{4} - 45 \, b^{2} c d^{2} f e^{4} - 30 \, a b d^{3} f e^{4} + 15 \, b^{2} d^{3} e^{5}\right)}}{105 \, {\left(c^{4} f^{6} - 4 \, c^{3} d f^{5} e + 6 \, c^{2} d^{2} f^{4} e^{2} - 4 \, c d^{3} f^{3} e^{3} + d^{4} f^{2} e^{4}\right)} {\left(f x + e\right)}^{\frac{7}{2}}}"," ",0,"2*(b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/((c^4*f^4 - 4*c^3*d*f^3*e + 6*c^2*d^2*f^2*e^2 - 4*c*d^3*f*e^3 + d^4*e^4)*sqrt(c*d*f - d^2*e)) + 2/105*(105*(f*x + e)^3*b^2*c^2*d*f^2 - 210*(f*x + e)^3*a*b*c*d^2*f^2 + 105*(f*x + e)^3*a^2*d^3*f^2 - 35*(f*x + e)^2*b^2*c^3*f^3 + 70*(f*x + e)^2*a*b*c^2*d*f^3 - 35*(f*x + e)^2*a^2*c*d^2*f^3 - 42*(f*x + e)*a*b*c^3*f^4 + 21*(f*x + e)*a^2*c^2*d*f^4 - 15*a^2*c^3*f^5 + 35*(f*x + e)^2*b^2*c^2*d*f^2*e - 70*(f*x + e)^2*a*b*c*d^2*f^2*e + 35*(f*x + e)^2*a^2*d^3*f^2*e + 42*(f*x + e)*b^2*c^3*f^3*e + 84*(f*x + e)*a*b*c^2*d*f^3*e - 42*(f*x + e)*a^2*c*d^2*f^3*e + 30*a*b*c^3*f^4*e + 45*a^2*c^2*d*f^4*e - 105*(f*x + e)*b^2*c^2*d*f^2*e^2 - 42*(f*x + e)*a*b*c*d^2*f^2*e^2 + 21*(f*x + e)*a^2*d^3*f^2*e^2 - 15*b^2*c^3*f^3*e^2 - 90*a*b*c^2*d*f^3*e^2 - 45*a^2*c*d^2*f^3*e^2 + 84*(f*x + e)*b^2*c*d^2*f*e^3 + 45*b^2*c^2*d*f^2*e^3 + 90*a*b*c*d^2*f^2*e^3 + 15*a^2*d^3*f^2*e^3 - 21*(f*x + e)*b^2*d^3*e^4 - 45*b^2*c*d^2*f*e^4 - 30*a*b*d^3*f*e^4 + 15*b^2*d^3*e^5)/((c^4*f^6 - 4*c^3*d*f^5*e + 6*c^2*d^2*f^4*e^2 - 4*c*d^3*f^3*e^3 + d^4*f^2*e^4)*(f*x + e)^(7/2))","B",0
1782,1,1028,0,1.470913," ","integrate((b*x+a)^3*(f*x+e)^(5/2)/(d*x+c),x, algorithm=""giac"")","\frac{2 \, {\left(b^{3} c^{6} f^{3} - 3 \, a b^{2} c^{5} d f^{3} + 3 \, a^{2} b c^{4} d^{2} f^{3} - a^{3} c^{3} d^{3} f^{3} - 3 \, b^{3} c^{5} d f^{2} e + 9 \, a b^{2} c^{4} d^{2} f^{2} e - 9 \, a^{2} b c^{3} d^{3} f^{2} e + 3 \, a^{3} c^{2} d^{4} f^{2} e + 3 \, b^{3} c^{4} d^{2} f e^{2} - 9 \, a b^{2} c^{3} d^{3} f e^{2} + 9 \, a^{2} b c^{2} d^{4} f e^{2} - 3 \, a^{3} c d^{5} f e^{2} - b^{3} c^{3} d^{3} e^{3} + 3 \, a b^{2} c^{2} d^{4} e^{3} - 3 \, a^{2} b c d^{5} e^{3} + a^{3} d^{6} e^{3}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} d^{6}} + \frac{2 \, {\left(315 \, {\left(f x + e\right)}^{\frac{11}{2}} b^{3} d^{10} f^{30} - 385 \, {\left(f x + e\right)}^{\frac{9}{2}} b^{3} c d^{9} f^{31} + 1155 \, {\left(f x + e\right)}^{\frac{9}{2}} a b^{2} d^{10} f^{31} + 495 \, {\left(f x + e\right)}^{\frac{7}{2}} b^{3} c^{2} d^{8} f^{32} - 1485 \, {\left(f x + e\right)}^{\frac{7}{2}} a b^{2} c d^{9} f^{32} + 1485 \, {\left(f x + e\right)}^{\frac{7}{2}} a^{2} b d^{10} f^{32} - 693 \, {\left(f x + e\right)}^{\frac{5}{2}} b^{3} c^{3} d^{7} f^{33} + 2079 \, {\left(f x + e\right)}^{\frac{5}{2}} a b^{2} c^{2} d^{8} f^{33} - 2079 \, {\left(f x + e\right)}^{\frac{5}{2}} a^{2} b c d^{9} f^{33} + 693 \, {\left(f x + e\right)}^{\frac{5}{2}} a^{3} d^{10} f^{33} + 1155 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{3} c^{4} d^{6} f^{34} - 3465 \, {\left(f x + e\right)}^{\frac{3}{2}} a b^{2} c^{3} d^{7} f^{34} + 3465 \, {\left(f x + e\right)}^{\frac{3}{2}} a^{2} b c^{2} d^{8} f^{34} - 1155 \, {\left(f x + e\right)}^{\frac{3}{2}} a^{3} c d^{9} f^{34} - 3465 \, \sqrt{f x + e} b^{3} c^{5} d^{5} f^{35} + 10395 \, \sqrt{f x + e} a b^{2} c^{4} d^{6} f^{35} - 10395 \, \sqrt{f x + e} a^{2} b c^{3} d^{7} f^{35} + 3465 \, \sqrt{f x + e} a^{3} c^{2} d^{8} f^{35} - 770 \, {\left(f x + e\right)}^{\frac{9}{2}} b^{3} d^{10} f^{30} e + 495 \, {\left(f x + e\right)}^{\frac{7}{2}} b^{3} c d^{9} f^{31} e - 1485 \, {\left(f x + e\right)}^{\frac{7}{2}} a b^{2} d^{10} f^{31} e - 1155 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{3} c^{3} d^{7} f^{33} e + 3465 \, {\left(f x + e\right)}^{\frac{3}{2}} a b^{2} c^{2} d^{8} f^{33} e - 3465 \, {\left(f x + e\right)}^{\frac{3}{2}} a^{2} b c d^{9} f^{33} e + 1155 \, {\left(f x + e\right)}^{\frac{3}{2}} a^{3} d^{10} f^{33} e + 6930 \, \sqrt{f x + e} b^{3} c^{4} d^{6} f^{34} e - 20790 \, \sqrt{f x + e} a b^{2} c^{3} d^{7} f^{34} e + 20790 \, \sqrt{f x + e} a^{2} b c^{2} d^{8} f^{34} e - 6930 \, \sqrt{f x + e} a^{3} c d^{9} f^{34} e + 495 \, {\left(f x + e\right)}^{\frac{7}{2}} b^{3} d^{10} f^{30} e^{2} - 3465 \, \sqrt{f x + e} b^{3} c^{3} d^{7} f^{33} e^{2} + 10395 \, \sqrt{f x + e} a b^{2} c^{2} d^{8} f^{33} e^{2} - 10395 \, \sqrt{f x + e} a^{2} b c d^{9} f^{33} e^{2} + 3465 \, \sqrt{f x + e} a^{3} d^{10} f^{33} e^{2}\right)}}{3465 \, d^{11} f^{33}}"," ",0,"2*(b^3*c^6*f^3 - 3*a*b^2*c^5*d*f^3 + 3*a^2*b*c^4*d^2*f^3 - a^3*c^3*d^3*f^3 - 3*b^3*c^5*d*f^2*e + 9*a*b^2*c^4*d^2*f^2*e - 9*a^2*b*c^3*d^3*f^2*e + 3*a^3*c^2*d^4*f^2*e + 3*b^3*c^4*d^2*f*e^2 - 9*a*b^2*c^3*d^3*f*e^2 + 9*a^2*b*c^2*d^4*f*e^2 - 3*a^3*c*d^5*f*e^2 - b^3*c^3*d^3*e^3 + 3*a*b^2*c^2*d^4*e^3 - 3*a^2*b*c*d^5*e^3 + a^3*d^6*e^3)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*d^6) + 2/3465*(315*(f*x + e)^(11/2)*b^3*d^10*f^30 - 385*(f*x + e)^(9/2)*b^3*c*d^9*f^31 + 1155*(f*x + e)^(9/2)*a*b^2*d^10*f^31 + 495*(f*x + e)^(7/2)*b^3*c^2*d^8*f^32 - 1485*(f*x + e)^(7/2)*a*b^2*c*d^9*f^32 + 1485*(f*x + e)^(7/2)*a^2*b*d^10*f^32 - 693*(f*x + e)^(5/2)*b^3*c^3*d^7*f^33 + 2079*(f*x + e)^(5/2)*a*b^2*c^2*d^8*f^33 - 2079*(f*x + e)^(5/2)*a^2*b*c*d^9*f^33 + 693*(f*x + e)^(5/2)*a^3*d^10*f^33 + 1155*(f*x + e)^(3/2)*b^3*c^4*d^6*f^34 - 3465*(f*x + e)^(3/2)*a*b^2*c^3*d^7*f^34 + 3465*(f*x + e)^(3/2)*a^2*b*c^2*d^8*f^34 - 1155*(f*x + e)^(3/2)*a^3*c*d^9*f^34 - 3465*sqrt(f*x + e)*b^3*c^5*d^5*f^35 + 10395*sqrt(f*x + e)*a*b^2*c^4*d^6*f^35 - 10395*sqrt(f*x + e)*a^2*b*c^3*d^7*f^35 + 3465*sqrt(f*x + e)*a^3*c^2*d^8*f^35 - 770*(f*x + e)^(9/2)*b^3*d^10*f^30*e + 495*(f*x + e)^(7/2)*b^3*c*d^9*f^31*e - 1485*(f*x + e)^(7/2)*a*b^2*d^10*f^31*e - 1155*(f*x + e)^(3/2)*b^3*c^3*d^7*f^33*e + 3465*(f*x + e)^(3/2)*a*b^2*c^2*d^8*f^33*e - 3465*(f*x + e)^(3/2)*a^2*b*c*d^9*f^33*e + 1155*(f*x + e)^(3/2)*a^3*d^10*f^33*e + 6930*sqrt(f*x + e)*b^3*c^4*d^6*f^34*e - 20790*sqrt(f*x + e)*a*b^2*c^3*d^7*f^34*e + 20790*sqrt(f*x + e)*a^2*b*c^2*d^8*f^34*e - 6930*sqrt(f*x + e)*a^3*c*d^9*f^34*e + 495*(f*x + e)^(7/2)*b^3*d^10*f^30*e^2 - 3465*sqrt(f*x + e)*b^3*c^3*d^7*f^33*e^2 + 10395*sqrt(f*x + e)*a*b^2*c^2*d^8*f^33*e^2 - 10395*sqrt(f*x + e)*a^2*b*c*d^9*f^33*e^2 + 3465*sqrt(f*x + e)*a^3*d^10*f^33*e^2)/(d^11*f^33)","B",0
1783,1,683,0,1.404911," ","integrate((b*x+a)^3*(f*x+e)^(3/2)/(d*x+c),x, algorithm=""giac"")","-\frac{2 \, {\left(b^{3} c^{5} f^{2} - 3 \, a b^{2} c^{4} d f^{2} + 3 \, a^{2} b c^{3} d^{2} f^{2} - a^{3} c^{2} d^{3} f^{2} - 2 \, b^{3} c^{4} d f e + 6 \, a b^{2} c^{3} d^{2} f e - 6 \, a^{2} b c^{2} d^{3} f e + 2 \, a^{3} c d^{4} f e + b^{3} c^{3} d^{2} e^{2} - 3 \, a b^{2} c^{2} d^{3} e^{2} + 3 \, a^{2} b c d^{4} e^{2} - a^{3} d^{5} e^{2}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} d^{5}} + \frac{2 \, {\left(35 \, {\left(f x + e\right)}^{\frac{9}{2}} b^{3} d^{8} f^{24} - 45 \, {\left(f x + e\right)}^{\frac{7}{2}} b^{3} c d^{7} f^{25} + 135 \, {\left(f x + e\right)}^{\frac{7}{2}} a b^{2} d^{8} f^{25} + 63 \, {\left(f x + e\right)}^{\frac{5}{2}} b^{3} c^{2} d^{6} f^{26} - 189 \, {\left(f x + e\right)}^{\frac{5}{2}} a b^{2} c d^{7} f^{26} + 189 \, {\left(f x + e\right)}^{\frac{5}{2}} a^{2} b d^{8} f^{26} - 105 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{3} c^{3} d^{5} f^{27} + 315 \, {\left(f x + e\right)}^{\frac{3}{2}} a b^{2} c^{2} d^{6} f^{27} - 315 \, {\left(f x + e\right)}^{\frac{3}{2}} a^{2} b c d^{7} f^{27} + 105 \, {\left(f x + e\right)}^{\frac{3}{2}} a^{3} d^{8} f^{27} + 315 \, \sqrt{f x + e} b^{3} c^{4} d^{4} f^{28} - 945 \, \sqrt{f x + e} a b^{2} c^{3} d^{5} f^{28} + 945 \, \sqrt{f x + e} a^{2} b c^{2} d^{6} f^{28} - 315 \, \sqrt{f x + e} a^{3} c d^{7} f^{28} - 90 \, {\left(f x + e\right)}^{\frac{7}{2}} b^{3} d^{8} f^{24} e + 63 \, {\left(f x + e\right)}^{\frac{5}{2}} b^{3} c d^{7} f^{25} e - 189 \, {\left(f x + e\right)}^{\frac{5}{2}} a b^{2} d^{8} f^{25} e - 315 \, \sqrt{f x + e} b^{3} c^{3} d^{5} f^{27} e + 945 \, \sqrt{f x + e} a b^{2} c^{2} d^{6} f^{27} e - 945 \, \sqrt{f x + e} a^{2} b c d^{7} f^{27} e + 315 \, \sqrt{f x + e} a^{3} d^{8} f^{27} e + 63 \, {\left(f x + e\right)}^{\frac{5}{2}} b^{3} d^{8} f^{24} e^{2}\right)}}{315 \, d^{9} f^{27}}"," ",0,"-2*(b^3*c^5*f^2 - 3*a*b^2*c^4*d*f^2 + 3*a^2*b*c^3*d^2*f^2 - a^3*c^2*d^3*f^2 - 2*b^3*c^4*d*f*e + 6*a*b^2*c^3*d^2*f*e - 6*a^2*b*c^2*d^3*f*e + 2*a^3*c*d^4*f*e + b^3*c^3*d^2*e^2 - 3*a*b^2*c^2*d^3*e^2 + 3*a^2*b*c*d^4*e^2 - a^3*d^5*e^2)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*d^5) + 2/315*(35*(f*x + e)^(9/2)*b^3*d^8*f^24 - 45*(f*x + e)^(7/2)*b^3*c*d^7*f^25 + 135*(f*x + e)^(7/2)*a*b^2*d^8*f^25 + 63*(f*x + e)^(5/2)*b^3*c^2*d^6*f^26 - 189*(f*x + e)^(5/2)*a*b^2*c*d^7*f^26 + 189*(f*x + e)^(5/2)*a^2*b*d^8*f^26 - 105*(f*x + e)^(3/2)*b^3*c^3*d^5*f^27 + 315*(f*x + e)^(3/2)*a*b^2*c^2*d^6*f^27 - 315*(f*x + e)^(3/2)*a^2*b*c*d^7*f^27 + 105*(f*x + e)^(3/2)*a^3*d^8*f^27 + 315*sqrt(f*x + e)*b^3*c^4*d^4*f^28 - 945*sqrt(f*x + e)*a*b^2*c^3*d^5*f^28 + 945*sqrt(f*x + e)*a^2*b*c^2*d^6*f^28 - 315*sqrt(f*x + e)*a^3*c*d^7*f^28 - 90*(f*x + e)^(7/2)*b^3*d^8*f^24*e + 63*(f*x + e)^(5/2)*b^3*c*d^7*f^25*e - 189*(f*x + e)^(5/2)*a*b^2*d^8*f^25*e - 315*sqrt(f*x + e)*b^3*c^3*d^5*f^27*e + 945*sqrt(f*x + e)*a*b^2*c^2*d^6*f^27*e - 945*sqrt(f*x + e)*a^2*b*c*d^7*f^27*e + 315*sqrt(f*x + e)*a^3*d^8*f^27*e + 63*(f*x + e)^(5/2)*b^3*d^8*f^24*e^2)/(d^9*f^27)","B",0
1784,1,436,0,1.343189," ","integrate((b*x+a)^3*(f*x+e)^(1/2)/(d*x+c),x, algorithm=""giac"")","\frac{2 \, {\left(b^{3} c^{4} f - 3 \, a b^{2} c^{3} d f + 3 \, a^{2} b c^{2} d^{2} f - a^{3} c d^{3} f - b^{3} c^{3} d e + 3 \, a b^{2} c^{2} d^{2} e - 3 \, a^{2} b c d^{3} e + a^{3} d^{4} e\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} d^{4}} + \frac{2 \, {\left(15 \, {\left(f x + e\right)}^{\frac{7}{2}} b^{3} d^{6} f^{18} - 21 \, {\left(f x + e\right)}^{\frac{5}{2}} b^{3} c d^{5} f^{19} + 63 \, {\left(f x + e\right)}^{\frac{5}{2}} a b^{2} d^{6} f^{19} + 35 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{3} c^{2} d^{4} f^{20} - 105 \, {\left(f x + e\right)}^{\frac{3}{2}} a b^{2} c d^{5} f^{20} + 105 \, {\left(f x + e\right)}^{\frac{3}{2}} a^{2} b d^{6} f^{20} - 105 \, \sqrt{f x + e} b^{3} c^{3} d^{3} f^{21} + 315 \, \sqrt{f x + e} a b^{2} c^{2} d^{4} f^{21} - 315 \, \sqrt{f x + e} a^{2} b c d^{5} f^{21} + 105 \, \sqrt{f x + e} a^{3} d^{6} f^{21} - 42 \, {\left(f x + e\right)}^{\frac{5}{2}} b^{3} d^{6} f^{18} e + 35 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{3} c d^{5} f^{19} e - 105 \, {\left(f x + e\right)}^{\frac{3}{2}} a b^{2} d^{6} f^{19} e + 35 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{3} d^{6} f^{18} e^{2}\right)}}{105 \, d^{7} f^{21}}"," ",0,"2*(b^3*c^4*f - 3*a*b^2*c^3*d*f + 3*a^2*b*c^2*d^2*f - a^3*c*d^3*f - b^3*c^3*d*e + 3*a*b^2*c^2*d^2*e - 3*a^2*b*c*d^3*e + a^3*d^4*e)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*d^4) + 2/105*(15*(f*x + e)^(7/2)*b^3*d^6*f^18 - 21*(f*x + e)^(5/2)*b^3*c*d^5*f^19 + 63*(f*x + e)^(5/2)*a*b^2*d^6*f^19 + 35*(f*x + e)^(3/2)*b^3*c^2*d^4*f^20 - 105*(f*x + e)^(3/2)*a*b^2*c*d^5*f^20 + 105*(f*x + e)^(3/2)*a^2*b*d^6*f^20 - 105*sqrt(f*x + e)*b^3*c^3*d^3*f^21 + 315*sqrt(f*x + e)*a*b^2*c^2*d^4*f^21 - 315*sqrt(f*x + e)*a^2*b*c*d^5*f^21 + 105*sqrt(f*x + e)*a^3*d^6*f^21 - 42*(f*x + e)^(5/2)*b^3*d^6*f^18*e + 35*(f*x + e)^(3/2)*b^3*c*d^5*f^19*e - 105*(f*x + e)^(3/2)*a*b^2*d^6*f^19*e + 35*(f*x + e)^(3/2)*b^3*d^6*f^18*e^2)/(d^7*f^21)","B",0
1785,1,298,0,1.195206," ","integrate((b*x+a)^3/(d*x+c)/(f*x+e)^(1/2),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)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{\sqrt{c d f - d^{2} e} d^{3}} + \frac{2 \, {\left(3 \, {\left(f x + e\right)}^{\frac{5}{2}} b^{3} d^{4} f^{12} - 5 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{3} c d^{3} f^{13} + 15 \, {\left(f x + e\right)}^{\frac{3}{2}} a b^{2} d^{4} f^{13} + 15 \, \sqrt{f x + e} b^{3} c^{2} d^{2} f^{14} - 45 \, \sqrt{f x + e} a b^{2} c d^{3} f^{14} + 45 \, \sqrt{f x + e} a^{2} b d^{4} f^{14} - 10 \, {\left(f x + e\right)}^{\frac{3}{2}} b^{3} d^{4} f^{12} e + 15 \, \sqrt{f x + e} b^{3} c d^{3} f^{13} e - 45 \, \sqrt{f x + e} a b^{2} d^{4} f^{13} e + 15 \, \sqrt{f x + e} b^{3} d^{4} f^{12} e^{2}\right)}}{15 \, d^{5} f^{15}}"," ",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(f*x + e)*d/sqrt(c*d*f - d^2*e))/(sqrt(c*d*f - d^2*e)*d^3) + 2/15*(3*(f*x + e)^(5/2)*b^3*d^4*f^12 - 5*(f*x + e)^(3/2)*b^3*c*d^3*f^13 + 15*(f*x + e)^(3/2)*a*b^2*d^4*f^13 + 15*sqrt(f*x + e)*b^3*c^2*d^2*f^14 - 45*sqrt(f*x + e)*a*b^2*c*d^3*f^14 + 45*sqrt(f*x + e)*a^2*b*d^4*f^14 - 10*(f*x + e)^(3/2)*b^3*d^4*f^12*e + 15*sqrt(f*x + e)*b^3*c*d^3*f^13*e - 45*sqrt(f*x + e)*a*b^2*d^4*f^13*e + 15*sqrt(f*x + e)*b^3*d^4*f^12*e^2)/(d^5*f^15)","A",0
1786,1,241,0,1.290507," ","integrate((b*x+a)^3/(d*x+c)/(f*x+e)^(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)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{{\left(c d^{2} f - d^{3} e\right)} \sqrt{c d f - d^{2} e}} - \frac{2 \, {\left(a^{3} f^{3} - 3 \, a^{2} b f^{2} e + 3 \, a b^{2} f e^{2} - b^{3} e^{3}\right)}}{{\left(c f^{4} - d f^{3} e\right)} \sqrt{f x + e}} + \frac{2 \, {\left({\left(f x + e\right)}^{\frac{3}{2}} b^{3} d^{2} f^{6} - 3 \, \sqrt{f x + e} b^{3} c d f^{7} + 9 \, \sqrt{f x + e} a b^{2} d^{2} f^{7} - 6 \, \sqrt{f x + e} b^{3} d^{2} f^{6} e\right)}}{3 \, d^{3} f^{9}}"," ",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(f*x + e)*d/sqrt(c*d*f - d^2*e))/((c*d^2*f - d^3*e)*sqrt(c*d*f - d^2*e)) - 2*(a^3*f^3 - 3*a^2*b*f^2*e + 3*a*b^2*f*e^2 - b^3*e^3)/((c*f^4 - d*f^3*e)*sqrt(f*x + e)) + 2/3*((f*x + e)^(3/2)*b^3*d^2*f^6 - 3*sqrt(f*x + e)*b^3*c*d*f^7 + 9*sqrt(f*x + e)*a*b^2*d^2*f^7 - 6*sqrt(f*x + e)*b^3*d^2*f^6*e)/(d^3*f^9)","A",0
1787,1,337,0,1.340085," ","integrate((b*x+a)^3/(d*x+c)/(f*x+e)^(5/2),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)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{{\left(c^{2} d f^{2} - 2 \, c d^{2} f e + d^{3} e^{2}\right)} \sqrt{c d f - d^{2} e}} + \frac{2 \, \sqrt{f x + e} b^{3}}{d f^{3}} - \frac{2 \, {\left(9 \, {\left(f x + e\right)} a^{2} b c f^{3} - 3 \, {\left(f x + e\right)} a^{3} d f^{3} + a^{3} c f^{4} - 18 \, {\left(f x + e\right)} a b^{2} c f^{2} e - 3 \, a^{2} b c f^{3} e - a^{3} d f^{3} e + 9 \, {\left(f x + e\right)} b^{3} c f e^{2} + 9 \, {\left(f x + e\right)} a b^{2} d f e^{2} + 3 \, a b^{2} c f^{2} e^{2} + 3 \, a^{2} b d f^{2} e^{2} - 6 \, {\left(f x + e\right)} b^{3} d e^{3} - b^{3} c f e^{3} - 3 \, a b^{2} d f e^{3} + b^{3} d e^{4}\right)}}{3 \, {\left(c^{2} f^{5} - 2 \, c d f^{4} e + d^{2} f^{3} e^{2}\right)} {\left(f x + e\right)}^{\frac{3}{2}}}"," ",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(f*x + e)*d/sqrt(c*d*f - d^2*e))/((c^2*d*f^2 - 2*c*d^2*f*e + d^3*e^2)*sqrt(c*d*f - d^2*e)) + 2*sqrt(f*x + e)*b^3/(d*f^3) - 2/3*(9*(f*x + e)*a^2*b*c*f^3 - 3*(f*x + e)*a^3*d*f^3 + a^3*c*f^4 - 18*(f*x + e)*a*b^2*c*f^2*e - 3*a^2*b*c*f^3*e - a^3*d*f^3*e + 9*(f*x + e)*b^3*c*f*e^2 + 9*(f*x + e)*a*b^2*d*f*e^2 + 3*a*b^2*c*f^2*e^2 + 3*a^2*b*d*f^2*e^2 - 6*(f*x + e)*b^3*d*e^3 - b^3*c*f*e^3 - 3*a*b^2*d*f*e^3 + b^3*d*e^4)/((c^2*f^5 - 2*c*d*f^4*e + d^2*f^3*e^2)*(f*x + e)^(3/2))","B",0
1788,1,612,0,1.363765," ","integrate((b*x+a)^3/(d*x+c)/(f*x+e)^(7/2),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)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{{\left(c^{3} f^{3} - 3 \, c^{2} d f^{2} e + 3 \, c d^{2} f e^{2} - d^{3} e^{3}\right)} \sqrt{c d f - d^{2} e}} - \frac{2 \, {\left(45 \, {\left(f x + e\right)}^{2} a b^{2} c^{2} f^{3} - 45 \, {\left(f x + e\right)}^{2} a^{2} b c d f^{3} + 15 \, {\left(f x + e\right)}^{2} a^{3} d^{2} f^{3} + 15 \, {\left(f x + e\right)} a^{2} b c^{2} f^{4} - 5 \, {\left(f x + e\right)} a^{3} c d f^{4} + 3 \, a^{3} c^{2} f^{5} - 45 \, {\left(f x + e\right)}^{2} b^{3} c^{2} f^{2} e - 30 \, {\left(f x + e\right)} a b^{2} c^{2} f^{3} e - 15 \, {\left(f x + e\right)} a^{2} b c d f^{3} e + 5 \, {\left(f x + e\right)} a^{3} d^{2} f^{3} e - 9 \, a^{2} b c^{2} f^{4} e - 6 \, a^{3} c d f^{4} e + 45 \, {\left(f x + e\right)}^{2} b^{3} c d f e^{2} + 15 \, {\left(f x + e\right)} b^{3} c^{2} f^{2} e^{2} + 45 \, {\left(f x + e\right)} a b^{2} c d f^{2} e^{2} + 9 \, a b^{2} c^{2} f^{3} e^{2} + 18 \, a^{2} b c d f^{3} e^{2} + 3 \, a^{3} d^{2} f^{3} e^{2} - 15 \, {\left(f x + e\right)}^{2} b^{3} d^{2} e^{3} - 25 \, {\left(f x + e\right)} b^{3} c d f e^{3} - 15 \, {\left(f x + e\right)} a b^{2} d^{2} f e^{3} - 3 \, b^{3} c^{2} f^{2} e^{3} - 18 \, a b^{2} c d f^{2} e^{3} - 9 \, a^{2} b d^{2} f^{2} e^{3} + 10 \, {\left(f x + e\right)} b^{3} d^{2} e^{4} + 6 \, b^{3} c d f e^{4} + 9 \, a b^{2} d^{2} f e^{4} - 3 \, b^{3} d^{2} e^{5}\right)}}{15 \, {\left(c^{3} f^{6} - 3 \, c^{2} d f^{5} e + 3 \, c d^{2} f^{4} e^{2} - d^{3} f^{3} e^{3}\right)} {\left(f x + e\right)}^{\frac{5}{2}}}"," ",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(f*x + e)*d/sqrt(c*d*f - d^2*e))/((c^3*f^3 - 3*c^2*d*f^2*e + 3*c*d^2*f*e^2 - d^3*e^3)*sqrt(c*d*f - d^2*e)) - 2/15*(45*(f*x + e)^2*a*b^2*c^2*f^3 - 45*(f*x + e)^2*a^2*b*c*d*f^3 + 15*(f*x + e)^2*a^3*d^2*f^3 + 15*(f*x + e)*a^2*b*c^2*f^4 - 5*(f*x + e)*a^3*c*d*f^4 + 3*a^3*c^2*f^5 - 45*(f*x + e)^2*b^3*c^2*f^2*e - 30*(f*x + e)*a*b^2*c^2*f^3*e - 15*(f*x + e)*a^2*b*c*d*f^3*e + 5*(f*x + e)*a^3*d^2*f^3*e - 9*a^2*b*c^2*f^4*e - 6*a^3*c*d*f^4*e + 45*(f*x + e)^2*b^3*c*d*f*e^2 + 15*(f*x + e)*b^3*c^2*f^2*e^2 + 45*(f*x + e)*a*b^2*c*d*f^2*e^2 + 9*a*b^2*c^2*f^3*e^2 + 18*a^2*b*c*d*f^3*e^2 + 3*a^3*d^2*f^3*e^2 - 15*(f*x + e)^2*b^3*d^2*e^3 - 25*(f*x + e)*b^3*c*d*f*e^3 - 15*(f*x + e)*a*b^2*d^2*f*e^3 - 3*b^3*c^2*f^2*e^3 - 18*a*b^2*c*d*f^2*e^3 - 9*a^2*b*d^2*f^2*e^3 + 10*(f*x + e)*b^3*d^2*e^4 + 6*b^3*c*d*f*e^4 + 9*a*b^2*d^2*f*e^4 - 3*b^3*d^2*e^5)/((c^3*f^6 - 3*c^2*d*f^5*e + 3*c*d^2*f^4*e^2 - d^3*f^3*e^3)*(f*x + e)^(5/2))","B",0
1789,1,969,0,1.367499," ","integrate((b*x+a)^3/(d*x+c)/(f*x+e)^(9/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b^{3} c^{3} d - 3 \, a b^{2} c^{2} d^{2} + 3 \, a^{2} b c d^{3} - a^{3} d^{4}\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{{\left(c^{4} f^{4} - 4 \, c^{3} d f^{3} e + 6 \, c^{2} d^{2} f^{2} e^{2} - 4 \, c d^{3} f e^{3} + d^{4} e^{4}\right)} \sqrt{c d f - d^{2} e}} - \frac{2 \, {\left(105 \, {\left(f x + e\right)}^{3} b^{3} c^{3} f^{3} - 315 \, {\left(f x + e\right)}^{3} a b^{2} c^{2} d f^{3} + 315 \, {\left(f x + e\right)}^{3} a^{2} b c d^{2} f^{3} - 105 \, {\left(f x + e\right)}^{3} a^{3} d^{3} f^{3} + 105 \, {\left(f x + e\right)}^{2} a b^{2} c^{3} f^{4} - 105 \, {\left(f x + e\right)}^{2} a^{2} b c^{2} d f^{4} + 35 \, {\left(f x + e\right)}^{2} a^{3} c d^{2} f^{4} + 63 \, {\left(f x + e\right)} a^{2} b c^{3} f^{5} - 21 \, {\left(f x + e\right)} a^{3} c^{2} d f^{5} + 15 \, a^{3} c^{3} f^{6} - 105 \, {\left(f x + e\right)}^{2} b^{3} c^{3} f^{3} e - 105 \, {\left(f x + e\right)}^{2} a b^{2} c^{2} d f^{3} e + 105 \, {\left(f x + e\right)}^{2} a^{2} b c d^{2} f^{3} e - 35 \, {\left(f x + e\right)}^{2} a^{3} d^{3} f^{3} e - 126 \, {\left(f x + e\right)} a b^{2} c^{3} f^{4} e - 126 \, {\left(f x + e\right)} a^{2} b c^{2} d f^{4} e + 42 \, {\left(f x + e\right)} a^{3} c d^{2} f^{4} e - 45 \, a^{2} b c^{3} f^{5} e - 45 \, a^{3} c^{2} d f^{5} e + 210 \, {\left(f x + e\right)}^{2} b^{3} c^{2} d f^{2} e^{2} + 63 \, {\left(f x + e\right)} b^{3} c^{3} f^{3} e^{2} + 315 \, {\left(f x + e\right)} a b^{2} c^{2} d f^{3} e^{2} + 63 \, {\left(f x + e\right)} a^{2} b c d^{2} f^{3} e^{2} - 21 \, {\left(f x + e\right)} a^{3} d^{3} f^{3} e^{2} + 45 \, a b^{2} c^{3} f^{4} e^{2} + 135 \, a^{2} b c^{2} d f^{4} e^{2} + 45 \, a^{3} c d^{2} f^{4} e^{2} - 140 \, {\left(f x + e\right)}^{2} b^{3} c d^{2} f e^{3} - 168 \, {\left(f x + e\right)} b^{3} c^{2} d f^{2} e^{3} - 252 \, {\left(f x + e\right)} a b^{2} c d^{2} f^{2} e^{3} - 15 \, b^{3} c^{3} f^{3} e^{3} - 135 \, a b^{2} c^{2} d f^{3} e^{3} - 135 \, a^{2} b c d^{2} f^{3} e^{3} - 15 \, a^{3} d^{3} f^{3} e^{3} + 35 \, {\left(f x + e\right)}^{2} b^{3} d^{3} e^{4} + 147 \, {\left(f x + e\right)} b^{3} c d^{2} f e^{4} + 63 \, {\left(f x + e\right)} a b^{2} d^{3} f e^{4} + 45 \, b^{3} c^{2} d f^{2} e^{4} + 135 \, a b^{2} c d^{2} f^{2} e^{4} + 45 \, a^{2} b d^{3} f^{2} e^{4} - 42 \, {\left(f x + e\right)} b^{3} d^{3} e^{5} - 45 \, b^{3} c d^{2} f e^{5} - 45 \, a b^{2} d^{3} f e^{5} + 15 \, b^{3} d^{3} e^{6}\right)}}{105 \, {\left(c^{4} f^{7} - 4 \, c^{3} d f^{6} e + 6 \, c^{2} d^{2} f^{5} e^{2} - 4 \, c d^{3} f^{4} e^{3} + d^{4} f^{3} e^{4}\right)} {\left(f x + e\right)}^{\frac{7}{2}}}"," ",0,"-2*(b^3*c^3*d - 3*a*b^2*c^2*d^2 + 3*a^2*b*c*d^3 - a^3*d^4)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/((c^4*f^4 - 4*c^3*d*f^3*e + 6*c^2*d^2*f^2*e^2 - 4*c*d^3*f*e^3 + d^4*e^4)*sqrt(c*d*f - d^2*e)) - 2/105*(105*(f*x + e)^3*b^3*c^3*f^3 - 315*(f*x + e)^3*a*b^2*c^2*d*f^3 + 315*(f*x + e)^3*a^2*b*c*d^2*f^3 - 105*(f*x + e)^3*a^3*d^3*f^3 + 105*(f*x + e)^2*a*b^2*c^3*f^4 - 105*(f*x + e)^2*a^2*b*c^2*d*f^4 + 35*(f*x + e)^2*a^3*c*d^2*f^4 + 63*(f*x + e)*a^2*b*c^3*f^5 - 21*(f*x + e)*a^3*c^2*d*f^5 + 15*a^3*c^3*f^6 - 105*(f*x + e)^2*b^3*c^3*f^3*e - 105*(f*x + e)^2*a*b^2*c^2*d*f^3*e + 105*(f*x + e)^2*a^2*b*c*d^2*f^3*e - 35*(f*x + e)^2*a^3*d^3*f^3*e - 126*(f*x + e)*a*b^2*c^3*f^4*e - 126*(f*x + e)*a^2*b*c^2*d*f^4*e + 42*(f*x + e)*a^3*c*d^2*f^4*e - 45*a^2*b*c^3*f^5*e - 45*a^3*c^2*d*f^5*e + 210*(f*x + e)^2*b^3*c^2*d*f^2*e^2 + 63*(f*x + e)*b^3*c^3*f^3*e^2 + 315*(f*x + e)*a*b^2*c^2*d*f^3*e^2 + 63*(f*x + e)*a^2*b*c*d^2*f^3*e^2 - 21*(f*x + e)*a^3*d^3*f^3*e^2 + 45*a*b^2*c^3*f^4*e^2 + 135*a^2*b*c^2*d*f^4*e^2 + 45*a^3*c*d^2*f^4*e^2 - 140*(f*x + e)^2*b^3*c*d^2*f*e^3 - 168*(f*x + e)*b^3*c^2*d*f^2*e^3 - 252*(f*x + e)*a*b^2*c*d^2*f^2*e^3 - 15*b^3*c^3*f^3*e^3 - 135*a*b^2*c^2*d*f^3*e^3 - 135*a^2*b*c*d^2*f^3*e^3 - 15*a^3*d^3*f^3*e^3 + 35*(f*x + e)^2*b^3*d^3*e^4 + 147*(f*x + e)*b^3*c*d^2*f*e^4 + 63*(f*x + e)*a*b^2*d^3*f*e^4 + 45*b^3*c^2*d*f^2*e^4 + 135*a*b^2*c*d^2*f^2*e^4 + 45*a^2*b*d^3*f^2*e^4 - 42*(f*x + e)*b^3*d^3*e^5 - 45*b^3*c*d^2*f*e^5 - 45*a*b^2*d^3*f*e^5 + 15*b^3*d^3*e^6)/((c^4*f^7 - 4*c^3*d*f^6*e + 6*c^2*d^2*f^5*e^2 - 4*c*d^3*f^4*e^3 + d^4*f^3*e^4)*(f*x + e)^(7/2))","B",0
1790,1,122,0,1.247240," ","integrate((2+3*x)^6*(3+5*x)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{3645}{2176} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} + \frac{19683}{640} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{409941}{1664} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{1580985}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{406455}{128} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{725445}{128} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{3916031}{640} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{1294139}{384} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"3645/2176*(2*x - 1)^8*sqrt(-2*x + 1) + 19683/640*(2*x - 1)^7*sqrt(-2*x + 1) + 409941/1664*(2*x - 1)^6*sqrt(-2*x + 1) + 1580985/1408*(2*x - 1)^5*sqrt(-2*x + 1) + 406455/128*(2*x - 1)^4*sqrt(-2*x + 1) + 725445/128*(2*x - 1)^3*sqrt(-2*x + 1) + 3916031/640*(2*x - 1)^2*sqrt(-2*x + 1) - 1294139/384*(-2*x + 1)^(3/2)","A",0
1791,1,106,0,1.200658," ","integrate((2+3*x)^5*(3+5*x)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{81}{64} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{81}{4} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{97335}{704} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{4165}{8} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{74235}{64} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{12005}{8} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{184877}{192} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"81/64*(2*x - 1)^7*sqrt(-2*x + 1) + 81/4*(2*x - 1)^6*sqrt(-2*x + 1) + 97335/704*(2*x - 1)^5*sqrt(-2*x + 1) + 4165/8*(2*x - 1)^4*sqrt(-2*x + 1) + 74235/64*(2*x - 1)^3*sqrt(-2*x + 1) + 12005/8*(2*x - 1)^2*sqrt(-2*x + 1) - 184877/192*(-2*x + 1)^(3/2)","A",0
1792,1,90,0,1.198561," ","integrate((2+3*x)^4*(3+5*x)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{405}{416} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{4671}{352} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{1197}{16} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{3549}{16} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{57281}{160} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{26411}{96} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"405/416*(2*x - 1)^6*sqrt(-2*x + 1) + 4671/352*(2*x - 1)^5*sqrt(-2*x + 1) + 1197/16*(2*x - 1)^4*sqrt(-2*x + 1) + 3549/16*(2*x - 1)^3*sqrt(-2*x + 1) + 57281/160*(2*x - 1)^2*sqrt(-2*x + 1) - 26411/96*(-2*x + 1)^(3/2)","A",0
1793,1,74,0,1.285396," ","integrate((2+3*x)^3*(3+5*x)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{135}{176} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{69}{8} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{153}{4} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{3283}{40} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{3773}{48} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"135/176*(2*x - 1)^5*sqrt(-2*x + 1) + 69/8*(2*x - 1)^4*sqrt(-2*x + 1) + 153/4*(2*x - 1)^3*sqrt(-2*x + 1) + 3283/40*(2*x - 1)^2*sqrt(-2*x + 1) - 3773/48*(-2*x + 1)^(3/2)","A",0
1794,1,58,0,1.192158," ","integrate((2+3*x)^2*(3+5*x)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{5}{8} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{309}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{707}{40} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{539}{24} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"5/8*(2*x - 1)^4*sqrt(-2*x + 1) + 309/56*(2*x - 1)^3*sqrt(-2*x + 1) + 707/40*(2*x - 1)^2*sqrt(-2*x + 1) - 539/24*(-2*x + 1)^(3/2)","A",0
1795,1,42,0,1.163398," ","integrate((2+3*x)*(3+5*x)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{15}{28} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{17}{5} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{77}{12} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"15/28*(2*x - 1)^3*sqrt(-2*x + 1) + 17/5*(2*x - 1)^2*sqrt(-2*x + 1) - 77/12*(-2*x + 1)^(3/2)","A",0
1796,1,26,0,1.259916," ","integrate((3+5*x)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{11}{6} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"1/2*(2*x - 1)^2*sqrt(-2*x + 1) - 11/6*(-2*x + 1)^(3/2)","A",0
1797,1,58,0,1.231486," ","integrate((3+5*x)*(1-2*x)^(1/2)/(2+3*x),x, algorithm=""giac"")","-\frac{5}{9} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{1}{27} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2}{9} \, \sqrt{-2 \, x + 1}"," ",0,"-5/9*(-2*x + 1)^(3/2) - 1/27*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 2/9*sqrt(-2*x + 1)","A",0
1798,1,65,0,1.200593," ","integrate((3+5*x)*(1-2*x)^(1/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{4}{21} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{10}{9} \, \sqrt{-2 \, x + 1} + \frac{\sqrt{-2 \, x + 1}}{9 \, {\left(3 \, x + 2\right)}}"," ",0,"4/21*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 10/9*sqrt(-2*x + 1) + 1/9*sqrt(-2*x + 1)/(3*x + 2)","A",0
1799,1,68,0,1.290955," ","integrate((3+5*x)*(1-2*x)^(1/2)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{23}{882} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{71 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 161 \, \sqrt{-2 \, x + 1}}{84 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-23/882*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/84*(71*(-2*x + 1)^(3/2) - 161*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1800,1,84,0,1.249274," ","integrate((3+5*x)*(1-2*x)^(1/2)/(2+3*x)^4,x, algorithm=""giac"")","-\frac{17}{9261} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{153 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 28 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 833 \, \sqrt{-2 \, x + 1}}{1764 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"-17/9261*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/1764*(153*(2*x - 1)^2*sqrt(-2*x + 1) + 28*(-2*x + 1)^(3/2) - 833*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1801,1,100,0,1.227715," ","integrate((3+5*x)*(1-2*x)^(1/2)/(2+3*x)^5,x, algorithm=""giac"")","-\frac{5}{19208} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1215 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 10395 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 10241 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 15435 \, \sqrt{-2 \, x + 1}}{65856 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"-5/19208*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/65856*(1215*(2*x - 1)^3*sqrt(-2*x + 1) + 10395*(2*x - 1)^2*sqrt(-2*x + 1) - 10241*(-2*x + 1)^(3/2) - 15435*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1802,1,116,0,1.329624," ","integrate((3+5*x)*(1-2*x)^(1/2)/(2+3*x)^6,x, algorithm=""giac"")","-\frac{1}{21609} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{405 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 4410 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 18816 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 19110 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 12005 \, \sqrt{-2 \, x + 1}}{82320 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"-1/21609*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/82320*(405*(2*x - 1)^4*sqrt(-2*x + 1) + 4410*(2*x - 1)^3*sqrt(-2*x + 1) + 18816*(2*x - 1)^2*sqrt(-2*x + 1) - 19110*(-2*x + 1)^(3/2) - 12005*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
1803,1,106,0,1.247865," ","integrate((2+3*x)^4*(3+5*x)^2*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{135}{64} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{13905}{416} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{159111}{704} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{40453}{48} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{118993}{64} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{381073}{160} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{290521}{192} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"135/64*(2*x - 1)^7*sqrt(-2*x + 1) + 13905/416*(2*x - 1)^6*sqrt(-2*x + 1) + 159111/704*(2*x - 1)^5*sqrt(-2*x + 1) + 40453/48*(2*x - 1)^4*sqrt(-2*x + 1) + 118993/64*(2*x - 1)^3*sqrt(-2*x + 1) + 381073/160*(2*x - 1)^2*sqrt(-2*x + 1) - 290521/192*(-2*x + 1)^(3/2)","A",0
1804,1,90,0,1.289686," ","integrate((2+3*x)^3*(3+5*x)^2*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{675}{416} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{7695}{352} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{1949}{16} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{5711}{16} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{91091}{160} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{41503}{96} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"675/416*(2*x - 1)^6*sqrt(-2*x + 1) + 7695/352*(2*x - 1)^5*sqrt(-2*x + 1) + 1949/16*(2*x - 1)^4*sqrt(-2*x + 1) + 5711/16*(2*x - 1)^3*sqrt(-2*x + 1) + 91091/160*(2*x - 1)^2*sqrt(-2*x + 1) - 41503/96*(-2*x + 1)^(3/2)","A",0
1805,1,74,0,1.227467," ","integrate((2+3*x)^2*(3+5*x)^2*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{225}{176} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{85}{6} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{3467}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{1309}{10} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{5929}{48} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"225/176*(2*x - 1)^5*sqrt(-2*x + 1) + 85/6*(2*x - 1)^4*sqrt(-2*x + 1) + 3467/56*(2*x - 1)^3*sqrt(-2*x + 1) + 1309/10*(2*x - 1)^2*sqrt(-2*x + 1) - 5929/48*(-2*x + 1)^(3/2)","A",0
1806,1,58,0,1.137933," ","integrate((2+3*x)*(3+5*x)^2*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{25}{24} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{505}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{1133}{40} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{847}{24} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"25/24*(2*x - 1)^4*sqrt(-2*x + 1) + 505/56*(2*x - 1)^3*sqrt(-2*x + 1) + 1133/40*(2*x - 1)^2*sqrt(-2*x + 1) - 847/24*(-2*x + 1)^(3/2)","A",0
1807,1,42,0,1.214335," ","integrate((3+5*x)^2*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{25}{28} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{11}{2} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{121}{12} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"25/28*(2*x - 1)^3*sqrt(-2*x + 1) + 11/2*(2*x - 1)^2*sqrt(-2*x + 1) - 121/12*(-2*x + 1)^(3/2)","A",0
1808,1,74,0,1.229215," ","integrate((3+5*x)^2*(1-2*x)^(1/2)/(2+3*x),x, algorithm=""giac"")","\frac{5}{6} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{155}{54} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{81} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2}{27} \, \sqrt{-2 \, x + 1}"," ",0,"5/6*(2*x - 1)^2*sqrt(-2*x + 1) - 155/54*(-2*x + 1)^(3/2) + 1/81*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 2/27*sqrt(-2*x + 1)","A",0
1809,1,74,0,1.228611," ","integrate((3+5*x)^2*(1-2*x)^(1/2)/(2+3*x)^2,x, algorithm=""giac"")","-\frac{25}{27} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{71}{567} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{20}{27} \, \sqrt{-2 \, x + 1} - \frac{\sqrt{-2 \, x + 1}}{27 \, {\left(3 \, x + 2\right)}}"," ",0,"-25/27*(-2*x + 1)^(3/2) - 71/567*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 20/27*sqrt(-2*x + 1) - 1/27*sqrt(-2*x + 1)/(3*x + 2)","A",0
1810,1,77,0,1.216386," ","integrate((3+5*x)^2*(1-2*x)^(1/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{863}{2646} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{50}{27} \, \sqrt{-2 \, x + 1} - \frac{423 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 973 \, \sqrt{-2 \, x + 1}}{756 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"863/2646*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 50/27*sqrt(-2*x + 1) - 1/756*(423*(-2*x + 1)^(3/2) - 973*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1811,1,84,0,1.206168," ","integrate((3+5*x)^2*(1-2*x)^(1/2)/(2+3*x)^4,x, algorithm=""giac"")","-\frac{2381}{55566} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{22671 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 102844 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 116669 \, \sqrt{-2 \, x + 1}}{10584 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"-2381/55566*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/10584*(22671*(2*x - 1)^2*sqrt(-2*x + 1) - 102844*(-2*x + 1)^(3/2) + 116669*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1812,1,100,0,1.254430," ","integrate((3+5*x)^2*(1-2*x)^(1/2)/(2+3*x)^5,x, algorithm=""giac"")","-\frac{4625}{1555848} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{124875 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 245175 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 785323 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1586375 \, \sqrt{-2 \, x + 1}}{592704 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"-4625/1555848*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/592704*(124875*(2*x - 1)^3*sqrt(-2*x + 1) + 245175*(2*x - 1)^2*sqrt(-2*x + 1) + 785323*(-2*x + 1)^(3/2) - 1586375*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1813,1,116,0,1.357494," ","integrate((3+5*x)^2*(1-2*x)^(1/2)/(2+3*x)^6,x, algorithm=""giac"")","-\frac{31}{74088} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{12555 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 136710 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 348096 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 68810 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 372155 \, \sqrt{-2 \, x + 1}}{282240 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"-31/74088*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/282240*(12555*(2*x - 1)^4*sqrt(-2*x + 1) + 136710*(2*x - 1)^3*sqrt(-2*x + 1) + 348096*(2*x - 1)^2*sqrt(-2*x + 1) - 68810*(-2*x + 1)^(3/2) - 372155*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
1814,1,132,0,1.261397," ","integrate((3+5*x)^2*(1-2*x)^(1/2)/(2+3*x)^7,x, algorithm=""giac"")","-\frac{1613}{21781872} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1959795 \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + 25912845 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 140843934 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 300985146 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 148925455 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 135548455 \, \sqrt{-2 \, x + 1}}{165957120 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"-1613/21781872*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/165957120*(1959795*(2*x - 1)^5*sqrt(-2*x + 1) + 25912845*(2*x - 1)^4*sqrt(-2*x + 1) + 140843934*(2*x - 1)^3*sqrt(-2*x + 1) + 300985146*(2*x - 1)^2*sqrt(-2*x + 1) - 148925455*(-2*x + 1)^(3/2) - 135548455*sqrt(-2*x + 1))/(3*x + 2)^6","A",0
1815,1,122,0,1.195138," ","integrate((2+3*x)^4*(3+5*x)^3*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{10125}{2176} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} + \frac{10755}{128} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{1101465}{1664} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{4177401}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{9504551}{1152} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{1853313}{128} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{9836211}{640} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{3195731}{384} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"10125/2176*(2*x - 1)^8*sqrt(-2*x + 1) + 10755/128*(2*x - 1)^7*sqrt(-2*x + 1) + 1101465/1664*(2*x - 1)^6*sqrt(-2*x + 1) + 4177401/1408*(2*x - 1)^5*sqrt(-2*x + 1) + 9504551/1152*(2*x - 1)^4*sqrt(-2*x + 1) + 1853313/128*(2*x - 1)^3*sqrt(-2*x + 1) + 9836211/640*(2*x - 1)^2*sqrt(-2*x + 1) - 3195731/384*(-2*x + 1)^(3/2)","A",0
1816,1,106,0,1.267889," ","integrate((2+3*x)^3*(3+5*x)^3*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{225}{64} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{11475}{208} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{260055}{704} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{98209}{72} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{190707}{64} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{302379}{80} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{456533}{192} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"225/64*(2*x - 1)^7*sqrt(-2*x + 1) + 11475/208*(2*x - 1)^6*sqrt(-2*x + 1) + 260055/704*(2*x - 1)^5*sqrt(-2*x + 1) + 98209/72*(2*x - 1)^4*sqrt(-2*x + 1) + 190707/64*(2*x - 1)^3*sqrt(-2*x + 1) + 302379/80*(2*x - 1)^2*sqrt(-2*x + 1) - 456533/192*(-2*x + 1)^(3/2)","A",0
1817,1,90,0,1.213614," ","integrate((2+3*x)^2*(3+5*x)^3*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1125}{416} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{12675}{352} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{28555}{144} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{64317}{112} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{144837}{160} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{65219}{96} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"1125/416*(2*x - 1)^6*sqrt(-2*x + 1) + 12675/352*(2*x - 1)^5*sqrt(-2*x + 1) + 28555/144*(2*x - 1)^4*sqrt(-2*x + 1) + 64317/112*(2*x - 1)^3*sqrt(-2*x + 1) + 144837/160*(2*x - 1)^2*sqrt(-2*x + 1) - 65219/96*(-2*x + 1)^(3/2)","A",0
1818,1,74,0,1.307874," ","integrate((2+3*x)*(3+5*x)^3*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{375}{176} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{1675}{72} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{2805}{28} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{8349}{40} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{9317}{48} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"375/176*(2*x - 1)^5*sqrt(-2*x + 1) + 1675/72*(2*x - 1)^4*sqrt(-2*x + 1) + 2805/28*(2*x - 1)^3*sqrt(-2*x + 1) + 8349/40*(2*x - 1)^2*sqrt(-2*x + 1) - 9317/48*(-2*x + 1)^(3/2)","A",0
1819,1,58,0,1.189774," ","integrate((3+5*x)^3*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{125}{72} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{825}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{363}{8} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{1331}{24} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"125/72*(2*x - 1)^4*sqrt(-2*x + 1) + 825/56*(2*x - 1)^3*sqrt(-2*x + 1) + 363/8*(2*x - 1)^2*sqrt(-2*x + 1) - 1331/24*(-2*x + 1)^(3/2)","A",0
1820,1,90,0,1.208721," ","integrate((3+5*x)^3*(1-2*x)^(1/2)/(2+3*x),x, algorithm=""giac"")","\frac{125}{84} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{80}{9} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{5135}{324} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{1}{243} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2}{81} \, \sqrt{-2 \, x + 1}"," ",0,"125/84*(2*x - 1)^3*sqrt(-2*x + 1) + 80/9*(2*x - 1)^2*sqrt(-2*x + 1) - 5135/324*(-2*x + 1)^(3/2) - 1/243*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 2/81*sqrt(-2*x + 1)","A",0
1821,1,90,0,1.246066," ","integrate((3+5*x)^3*(1-2*x)^(1/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{25}{18} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{725}{162} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{106}{1701} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{10}{27} \, \sqrt{-2 \, x + 1} + \frac{\sqrt{-2 \, x + 1}}{81 \, {\left(3 \, x + 2\right)}}"," ",0,"25/18*(2*x - 1)^2*sqrt(-2*x + 1) - 725/162*(-2*x + 1)^(3/2) + 106/1701*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 10/27*sqrt(-2*x + 1) + 1/81*sqrt(-2*x + 1)/(3*x + 2)","A",0
1822,1,86,0,1.363553," ","integrate((3+5*x)^3*(1-2*x)^(1/2)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{125}{81} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{7559}{23814} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{50}{27} \, \sqrt{-2 \, x + 1} + \frac{633 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1463 \, \sqrt{-2 \, x + 1}}{2268 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-125/81*(-2*x + 1)^(3/2) - 7559/23814*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 50/27*sqrt(-2*x + 1) + 1/2268*(633*(-2*x + 1)^(3/2) - 1463*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1823,1,93,0,1.298833," ","integrate((3+5*x)^3*(1-2*x)^(1/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{46498}{83349} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{250}{81} \, \sqrt{-2 \, x + 1} + \frac{33543 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 154322 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 177527 \, \sqrt{-2 \, x + 1}}{15876 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"46498/83349*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 250/81*sqrt(-2*x + 1) + 1/15876*(33543*(2*x - 1)^2*sqrt(-2*x + 1) - 154322*(-2*x + 1)^(3/2) + 177527*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1824,1,100,0,1.224839," ","integrate((3+5*x)^3*(1-2*x)^(1/2)/(2+3*x)^5,x, algorithm=""giac"")","-\frac{328715}{4667544} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{9646695 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 65657235 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 149002777 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 112749245 \, \sqrt{-2 \, x + 1}}{1778112 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"-328715/4667544*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/1778112*(9646695*(2*x - 1)^3*sqrt(-2*x + 1) + 65657235*(2*x - 1)^2*sqrt(-2*x + 1) - 149002777*(-2*x + 1)^(3/2) + 112749245*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1825,1,116,0,1.284650," ","integrate((3+5*x)^3*(1-2*x)^(1/2)/(2+3*x)^6,x, algorithm=""giac"")","-\frac{11237}{2333772} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4550985 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 18685170 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - 11651808 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 128927330 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 134900185 \, \sqrt{-2 \, x + 1}}{8890560 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"-11237/2333772*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/8890560*(4550985*(2*x - 1)^4*sqrt(-2*x + 1) + 18685170*(2*x - 1)^3*sqrt(-2*x + 1) - 11651808*(2*x - 1)^2*sqrt(-2*x + 1) + 128927330*(-2*x + 1)^(3/2) - 134900185*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
1826,1,132,0,1.304113," ","integrate((3+5*x)^3*(1-2*x)^(1/2)/(2+3*x)^7,x, algorithm=""giac"")","-\frac{43957}{65345616} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{53407755 \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + 706169205 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 2801005326 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 3584374794 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 1082074105 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 3693926495 \, \sqrt{-2 \, x + 1}}{497871360 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"-43957/65345616*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/497871360*(53407755*(2*x - 1)^5*sqrt(-2*x + 1) + 706169205*(2*x - 1)^4*sqrt(-2*x + 1) + 2801005326*(2*x - 1)^3*sqrt(-2*x + 1) + 3584374794*(2*x - 1)^2*sqrt(-2*x + 1) + 1082074105*(-2*x + 1)^(3/2) - 3693926495*sqrt(-2*x + 1))/(3*x + 2)^6","A",0
1827,1,148,0,1.308808," ","integrate((3+5*x)^3*(1-2*x)^(1/2)/(2+3*x)^8,x, algorithm=""giac"")","-\frac{23717}{200120949} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{86448465 \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + 1344753900 \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + 8879858253 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 27592763184 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 36746543883 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 8458290820 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 13951406665 \, \sqrt{-2 \, x + 1}}{3049462080 \, {\left(3 \, x + 2\right)}^{7}}"," ",0,"-23717/200120949*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/3049462080*(86448465*(2*x - 1)^6*sqrt(-2*x + 1) + 1344753900*(2*x - 1)^5*sqrt(-2*x + 1) + 8879858253*(2*x - 1)^4*sqrt(-2*x + 1) + 27592763184*(2*x - 1)^3*sqrt(-2*x + 1) + 36746543883*(2*x - 1)^2*sqrt(-2*x + 1) - 8458290820*(-2*x + 1)^(3/2) - 13951406665*sqrt(-2*x + 1))/(3*x + 2)^7","A",0
1828,1,106,0,1.274410," ","integrate((2+3*x)^4*(1-2*x)^(1/2)/(3+5*x),x, algorithm=""giac"")","\frac{9}{40} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{2889}{1400} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{34371}{5000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{45473}{5000} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{15625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2}{3125} \, \sqrt{-2 \, x + 1}"," ",0,"9/40*(2*x - 1)^4*sqrt(-2*x + 1) + 2889/1400*(2*x - 1)^3*sqrt(-2*x + 1) + 34371/5000*(2*x - 1)^2*sqrt(-2*x + 1) - 45473/5000*(-2*x + 1)^(3/2) + 1/15625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 2/3125*sqrt(-2*x + 1)","A",0
1829,1,90,0,1.205377," ","integrate((2+3*x)^3*(1-2*x)^(1/2)/(3+5*x),x, algorithm=""giac"")","\frac{27}{140} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{162}{125} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{1299}{500} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{3125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2}{625} \, \sqrt{-2 \, x + 1}"," ",0,"27/140*(2*x - 1)^3*sqrt(-2*x + 1) + 162/125*(2*x - 1)^2*sqrt(-2*x + 1) - 1299/500*(-2*x + 1)^(3/2) + 1/3125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 2/625*sqrt(-2*x + 1)","A",0
1830,1,74,0,1.239547," ","integrate((2+3*x)^2*(1-2*x)^(1/2)/(3+5*x),x, algorithm=""giac"")","\frac{9}{50} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{37}{50} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2}{125} \, \sqrt{-2 \, x + 1}"," ",0,"9/50*(2*x - 1)^2*sqrt(-2*x + 1) - 37/50*(-2*x + 1)^(3/2) + 1/625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 2/125*sqrt(-2*x + 1)","A",0
1831,1,58,0,1.197084," ","integrate((2+3*x)*(1-2*x)^(1/2)/(3+5*x),x, algorithm=""giac"")","-\frac{1}{5} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2}{25} \, \sqrt{-2 \, x + 1}"," ",0,"-1/5*(-2*x + 1)^(3/2) + 1/125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 2/25*sqrt(-2*x + 1)","A",0
1832,1,49,0,1.267264," ","integrate((1-2*x)^(1/2)/(3+5*x),x, algorithm=""giac"")","\frac{1}{25} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2}{5} \, \sqrt{-2 \, x + 1}"," ",0,"1/25*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 2/5*sqrt(-2*x + 1)","A",0
1833,1,79,0,1.225831," ","integrate((1-2*x)^(1/2)/(2+3*x)/(3+5*x),x, algorithm=""giac"")","\frac{1}{5} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{1}{3} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right)"," ",0,"1/5*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 1/3*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1)))","B",0
1834,1,93,0,1.232243," ","integrate((1-2*x)^(1/2)/(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","\sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{34}{21} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{\sqrt{-2 \, x + 1}}{3 \, x + 2}"," ",0,"sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 34/21*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + sqrt(-2*x + 1)/(3*x + 2)","A",0
1835,1,107,0,1.201216," ","integrate((1-2*x)^(1/2)/(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","5 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{793}{98} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{207 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 497 \, \sqrt{-2 \, x + 1}}{28 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"5*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 793/98*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/28*(207*(-2*x + 1)^(3/2) - 497*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1836,1,123,0,1.234830," ","integrate((1-2*x)^(1/2)/(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","25 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{41632}{1029} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{10863 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 51422 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 60907 \, \sqrt{-2 \, x + 1}}{196 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"25*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 41632/1029*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/196*(10863*(2*x - 1)^2*sqrt(-2*x + 1) - 51422*(-2*x + 1)^(3/2) + 60907*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1837,1,139,0,1.255617," ","integrate((1-2*x)^(1/2)/(2+3*x)^5/(3+5*x),x, algorithm=""giac"")","125 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{11656955}{57624} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{9124785 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 64484805 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 151945423 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 119379435 \, \sqrt{-2 \, x + 1}}{21952 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 11656955/57624*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/21952*(9124785*(2*x - 1)^3*sqrt(-2*x + 1) + 64484805*(2*x - 1)^2*sqrt(-2*x + 1) - 151945423*(-2*x + 1)^(3/2) + 119379435*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1838,1,122,0,1.244357," ","integrate((2+3*x)^5*(1-2*x)^(1/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{27}{200} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{8829}{7000} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{107109}{25000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{144681}{25000} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{164}{859375} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{6}{3125} \, \sqrt{-2 \, x + 1} - \frac{\sqrt{-2 \, x + 1}}{15625 \, {\left(5 \, x + 3\right)}}"," ",0,"27/200*(2*x - 1)^4*sqrt(-2*x + 1) + 8829/7000*(2*x - 1)^3*sqrt(-2*x + 1) + 107109/25000*(2*x - 1)^2*sqrt(-2*x + 1) - 144681/25000*(-2*x + 1)^(3/2) + 164/859375*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 6/3125*sqrt(-2*x + 1) - 1/15625*sqrt(-2*x + 1)/(5*x + 3)","A",0
1839,1,106,0,1.311749," ","integrate((2+3*x)^4*(1-2*x)^(1/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{81}{700} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{999}{1250} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{4131}{2500} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{131}{171875} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{24}{3125} \, \sqrt{-2 \, x + 1} - \frac{\sqrt{-2 \, x + 1}}{3125 \, {\left(5 \, x + 3\right)}}"," ",0,"81/700*(2*x - 1)^3*sqrt(-2*x + 1) + 999/1250*(2*x - 1)^2*sqrt(-2*x + 1) - 4131/2500*(-2*x + 1)^(3/2) + 131/171875*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 24/3125*sqrt(-2*x + 1) - 1/3125*sqrt(-2*x + 1)/(5*x + 3)","A",0
1840,1,90,0,1.267009," ","integrate((2+3*x)^3*(1-2*x)^(1/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{27}{250} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{117}{250} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{98}{34375} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{18}{625} \, \sqrt{-2 \, x + 1} - \frac{\sqrt{-2 \, x + 1}}{625 \, {\left(5 \, x + 3\right)}}"," ",0,"27/250*(2*x - 1)^2*sqrt(-2*x + 1) - 117/250*(-2*x + 1)^(3/2) + 98/34375*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 18/625*sqrt(-2*x + 1) - 1/625*sqrt(-2*x + 1)/(5*x + 3)","A",0
1841,1,74,0,1.258453," ","integrate((2+3*x)^2*(1-2*x)^(1/2)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{3}{25} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{13}{1375} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{12}{125} \, \sqrt{-2 \, x + 1} - \frac{\sqrt{-2 \, x + 1}}{125 \, {\left(5 \, x + 3\right)}}"," ",0,"-3/25*(-2*x + 1)^(3/2) + 13/1375*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 12/125*sqrt(-2*x + 1) - 1/125*sqrt(-2*x + 1)/(5*x + 3)","A",0
1842,1,65,0,1.251215," ","integrate((2+3*x)*(1-2*x)^(1/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{32}{1375} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{6}{25} \, \sqrt{-2 \, x + 1} - \frac{\sqrt{-2 \, x + 1}}{25 \, {\left(5 \, x + 3\right)}}"," ",0,"32/1375*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 6/25*sqrt(-2*x + 1) - 1/25*sqrt(-2*x + 1)/(5*x + 3)","A",0
1843,1,56,0,1.226904," ","integrate((1-2*x)^(1/2)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1}{275} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{\sqrt{-2 \, x + 1}}{5 \, {\left(5 \, x + 3\right)}}"," ",0,"-1/275*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 1/5*sqrt(-2*x + 1)/(5*x + 3)","A",0
1844,1,94,0,1.257632," ","integrate((1-2*x)^(1/2)/(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{34}{55} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{\sqrt{-2 \, x + 1}}{5 \, x + 3}"," ",0,"-34/55*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - sqrt(-2*x + 1)/(5*x + 3)","A",0
1845,1,116,0,1.207693," ","integrate((1-2*x)^(1/2)/(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{67}{11} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{69}{7} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(15 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 34 \, \sqrt{-2 \, x + 1}\right)}}{15 \, {\left(2 \, x - 1\right)}^{2} + 136 \, x + 9}"," ",0,"-67/11*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 69/7*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 4*(15*(-2*x + 1)^(3/2) - 34*sqrt(-2*x + 1))/(15*(2*x - 1)^2 + 136*x + 9)","A",0
1846,1,123,0,1.234439," ","integrate((1-2*x)^(1/2)/(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{500}{11} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{7209}{98} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{25 \, \sqrt{-2 \, x + 1}}{5 \, x + 3} + \frac{9 \, {\left(139 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 329 \, \sqrt{-2 \, x + 1}\right)}}{28 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-500/11*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 7209/98*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 25*sqrt(-2*x + 1)/(5*x + 3) + 9/28*(139*(-2*x + 1)^(3/2) - 329*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1847,1,139,0,1.286930," ","integrate((1-2*x)^(1/2)/(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","-\frac{3325}{11} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{335579}{686} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{125 \, \sqrt{-2 \, x + 1}}{5 \, x + 3} - \frac{3 \, {\left(65511 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 308644 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 363629 \, \sqrt{-2 \, x + 1}\right)}}{392 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"-3325/11*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 335579/686*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 125*sqrt(-2*x + 1)/(5*x + 3) - 3/392*(65511*(2*x - 1)^2*sqrt(-2*x + 1) - 308644*(-2*x + 1)^(3/2) + 363629*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1848,1,102,0,1.227844," ","integrate((2+3*x)^4*(1-2*x)^(1/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{81}{1250} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{369}{1250} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{12803}{3781250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{108}{3125} \, \sqrt{-2 \, x + 1} + \frac{263 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 583 \, \sqrt{-2 \, x + 1}}{27500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"81/1250*(2*x - 1)^2*sqrt(-2*x + 1) - 369/1250*(-2*x + 1)^(3/2) + 12803/3781250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 108/3125*sqrt(-2*x + 1) + 1/27500*(263*(-2*x + 1)^(3/2) - 583*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1849,1,86,0,1.366024," ","integrate((2+3*x)^3*(1-2*x)^(1/2)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{9}{125} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1267}{151250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{54}{625} \, \sqrt{-2 \, x + 1} + \frac{985 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2189 \, \sqrt{-2 \, x + 1}}{27500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"-9/125*(-2*x + 1)^(3/2) + 1267/151250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 54/625*sqrt(-2*x + 1) + 1/27500*(985*(-2*x + 1)^(3/2) - 2189*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1850,1,77,0,1.356747," ","integrate((2+3*x)^2*(1-2*x)^(1/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{409}{30250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{18}{125} \, \sqrt{-2 \, x + 1} + \frac{655 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1463 \, \sqrt{-2 \, x + 1}}{5500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"409/30250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 18/125*sqrt(-2*x + 1) + 1/5500*(655*(-2*x + 1)^(3/2) - 1463*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1851,1,68,0,1.305317," ","integrate((2+3*x)*(1-2*x)^(1/2)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{67}{30250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{325 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 737 \, \sqrt{-2 \, x + 1}}{1100 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"-67/30250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 1/1100*(325*(-2*x + 1)^(3/2) - 737*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1852,1,68,0,1.215210," ","integrate((1-2*x)^(1/2)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{1}{6050} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{5 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 11 \, \sqrt{-2 \, x + 1}}{220 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"-1/6050*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 1/220*(5*(-2*x + 1)^(3/2) + 11*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1853,1,107,0,1.218748," ","integrate((1-2*x)^(1/2)/(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{2243}{1210} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - 3 \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{5 \, {\left(67 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 143 \, \sqrt{-2 \, x + 1}\right)}}{44 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"2243/1210*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 3*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 5/44*(67*(-2*x + 1)^(3/2) - 143*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1854,1,123,0,1.210432," ","integrate((1-2*x)^(1/2)/(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{6665}{242} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{312}{7} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{9 \, \sqrt{-2 \, x + 1}}{3 \, x + 2} - \frac{5 \, {\left(665 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1441 \, \sqrt{-2 \, x + 1}\right)}}{44 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"6665/242*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 312/7*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 9*sqrt(-2*x + 1)/(3*x + 2) - 5/44*(665*(-2*x + 1)^(3/2) - 1441*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1855,1,148,0,1.251356," ","integrate((1-2*x)^(1/2)/(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{66325}{242} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{43467}{98} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2 \, {\left(1559475 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 10604940 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 24027469 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 18137504 \, \sqrt{-2 \, x + 1}\right)}}{77 \, {\left(15 \, {\left(2 \, x - 1\right)}^{2} + 136 \, x + 9\right)}^{2}}"," ",0,"66325/242*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 43467/98*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 2/77*(1559475*(2*x - 1)^3*sqrt(-2*x + 1) + 10604940*(2*x - 1)^2*sqrt(-2*x + 1) - 24027469*(-2*x + 1)^(3/2) + 18137504*sqrt(-2*x + 1))/(15*(2*x - 1)^2 + 136*x + 9)^2","A",0
1856,1,151,0,1.228834," ","integrate((1-2*x)^(1/2)/(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","\frac{551075}{242} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{1264041}{343} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{125 \, {\left(1325 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2893 \, \sqrt{-2 \, x + 1}\right)}}{44 \, {\left(5 \, x + 3\right)}^{2}} + \frac{9 \, {\left(65673 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 308672 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 362747 \, \sqrt{-2 \, x + 1}\right)}}{196 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"551075/242*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 1264041/343*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 125/44*(1325*(-2*x + 1)^(3/2) - 2893*sqrt(-2*x + 1))/(5*x + 3)^2 + 9/196*(65673*(2*x - 1)^2*sqrt(-2*x + 1) - 308672*(-2*x + 1)^(3/2) + 362747*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1857,1,129,0,1.303171," ","integrate((1-2*x)^(3/2)*(2+3*x)^6*(3+5*x),x, algorithm=""giac"")","-\frac{3645}{2432} \, {\left(2 \, x - 1\right)}^{9} \sqrt{-2 \, x + 1} - \frac{59049}{2176} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} - \frac{136647}{640} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} - \frac{1580985}{1664} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{3658095}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{564235}{128} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{559433}{128} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{1294139}{640} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-3645/2432*(2*x - 1)^9*sqrt(-2*x + 1) - 59049/2176*(2*x - 1)^8*sqrt(-2*x + 1) - 136647/640*(2*x - 1)^7*sqrt(-2*x + 1) - 1580985/1664*(2*x - 1)^6*sqrt(-2*x + 1) - 3658095/1408*(2*x - 1)^5*sqrt(-2*x + 1) - 564235/128*(2*x - 1)^4*sqrt(-2*x + 1) - 559433/128*(2*x - 1)^3*sqrt(-2*x + 1) - 1294139/640*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1858,1,113,0,1.428952," ","integrate((1-2*x)^(3/2)*(2+3*x)^5*(3+5*x),x, algorithm=""giac"")","-\frac{1215}{1088} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} - \frac{351}{20} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} - \frac{97335}{832} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{37485}{88} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{173215}{192} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{8575}{8} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{184877}{320} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-1215/1088*(2*x - 1)^8*sqrt(-2*x + 1) - 351/20*(2*x - 1)^7*sqrt(-2*x + 1) - 97335/832*(2*x - 1)^6*sqrt(-2*x + 1) - 37485/88*(2*x - 1)^5*sqrt(-2*x + 1) - 173215/192*(2*x - 1)^4*sqrt(-2*x + 1) - 8575/8*(2*x - 1)^3*sqrt(-2*x + 1) - 184877/320*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1859,1,97,0,1.548033," ","integrate((1-2*x)^(3/2)*(2+3*x)^4*(3+5*x),x, algorithm=""giac"")","-\frac{27}{32} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} - \frac{4671}{416} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{10773}{176} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{8281}{48} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{8183}{32} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{26411}{160} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-27/32*(2*x - 1)^7*sqrt(-2*x + 1) - 4671/416*(2*x - 1)^6*sqrt(-2*x + 1) - 10773/176*(2*x - 1)^5*sqrt(-2*x + 1) - 8281/48*(2*x - 1)^4*sqrt(-2*x + 1) - 8183/32*(2*x - 1)^3*sqrt(-2*x + 1) - 26411/160*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1860,1,81,0,1.600153," ","integrate((1-2*x)^(3/2)*(2+3*x)^3*(3+5*x),x, algorithm=""giac"")","-\frac{135}{208} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{621}{88} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{119}{4} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{469}{8} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{3773}{80} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-135/208*(2*x - 1)^6*sqrt(-2*x + 1) - 621/88*(2*x - 1)^5*sqrt(-2*x + 1) - 119/4*(2*x - 1)^4*sqrt(-2*x + 1) - 469/8*(2*x - 1)^3*sqrt(-2*x + 1) - 3773/80*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1861,1,65,0,1.660897," ","integrate((1-2*x)^(3/2)*(2+3*x)^2*(3+5*x),x, algorithm=""giac"")","-\frac{45}{88} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{103}{24} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{101}{8} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{539}{40} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-45/88*(2*x - 1)^5*sqrt(-2*x + 1) - 103/24*(2*x - 1)^4*sqrt(-2*x + 1) - 101/8*(2*x - 1)^3*sqrt(-2*x + 1) - 539/40*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1862,1,49,0,1.068422," ","integrate((1-2*x)^(3/2)*(2+3*x)*(3+5*x),x, algorithm=""giac"")","-\frac{5}{12} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{17}{7} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{77}{20} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-5/12*(2*x - 1)^4*sqrt(-2*x + 1) - 17/7*(2*x - 1)^3*sqrt(-2*x + 1) - 77/20*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1863,1,33,0,0.915568," ","integrate((1-2*x)^(3/2)*(3+5*x),x, algorithm=""giac"")","-\frac{5}{14} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{11}{10} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-5/14*(2*x - 1)^3*sqrt(-2*x + 1) - 11/10*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1864,1,74,0,1.017365," ","integrate((1-2*x)^(3/2)*(3+5*x)/(2+3*x),x, algorithm=""giac"")","-\frac{1}{3} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{2}{27} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{7}{81} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{14}{27} \, \sqrt{-2 \, x + 1}"," ",0,"-1/3*(2*x - 1)^2*sqrt(-2*x + 1) - 2/27*(-2*x + 1)^(3/2) - 7/81*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 14/27*sqrt(-2*x + 1)","A",0
1865,1,74,0,0.905777," ","integrate((1-2*x)^(3/2)*(3+5*x)/(2+3*x)^2,x, algorithm=""giac"")","\frac{10}{27} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{38}{81} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{74}{27} \, \sqrt{-2 \, x + 1} + \frac{7 \, \sqrt{-2 \, x + 1}}{27 \, {\left(3 \, x + 2\right)}}"," ",0,"10/27*(-2*x + 1)^(3/2) + 38/81*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 74/27*sqrt(-2*x + 1) + 7/27*sqrt(-2*x + 1)/(3*x + 2)","A",0
1866,1,77,0,1.239321," ","integrate((1-2*x)^(3/2)*(3+5*x)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{71}{378} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{20}{27} \, \sqrt{-2 \, x + 1} + \frac{225 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 511 \, \sqrt{-2 \, x + 1}}{108 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-71/378*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 20/27*sqrt(-2*x + 1) + 1/108*(225*(-2*x + 1)^(3/2) - 511*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1867,1,84,0,0.988137," ","integrate((1-2*x)^(3/2)*(3+5*x)/(2+3*x)^4,x, algorithm=""giac"")","\frac{52}{3969} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{198 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 728 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 637 \, \sqrt{-2 \, x + 1}}{189 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"52/3969*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/189*(198*(2*x - 1)^2*sqrt(-2*x + 1) - 728*(-2*x + 1)^(3/2) + 637*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1868,1,100,0,0.779738," ","integrate((1-2*x)^(3/2)*(3+5*x)/(2+3*x)^5,x, algorithm=""giac"")","\frac{137}{222264} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{3699 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - 15393 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 73843 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 46991 \, \sqrt{-2 \, x + 1}}{84672 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"137/222264*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/84672*(3699*(2*x - 1)^3*sqrt(-2*x + 1) - 15393*(2*x - 1)^2*sqrt(-2*x + 1) + 73843*(-2*x + 1)^(3/2) - 46991*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1869,1,116,0,0.962366," ","integrate((1-2*x)^(3/2)*(3+5*x)/(2+3*x)^6,x, algorithm=""giac"")","\frac{17}{259308} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{6885 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 74970 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - 9408 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 408170 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 204085 \, \sqrt{-2 \, x + 1}}{987840 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"17/259308*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/987840*(6885*(2*x - 1)^4*sqrt(-2*x + 1) + 74970*(2*x - 1)^3*sqrt(-2*x + 1) - 9408*(2*x - 1)^2*sqrt(-2*x + 1) + 408170*(-2*x + 1)^(3/2) - 204085*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
1870,1,113,0,0.885314," ","integrate((1-2*x)^(3/2)*(2+3*x)^4*(3+5*x)^2,x, algorithm=""giac"")","-\frac{2025}{1088} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} - \frac{927}{32} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} - \frac{159111}{832} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{121359}{176} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{832951}{576} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{54439}{32} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{290521}{320} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-2025/1088*(2*x - 1)^8*sqrt(-2*x + 1) - 927/32*(2*x - 1)^7*sqrt(-2*x + 1) - 159111/832*(2*x - 1)^6*sqrt(-2*x + 1) - 121359/176*(2*x - 1)^5*sqrt(-2*x + 1) - 832951/576*(2*x - 1)^4*sqrt(-2*x + 1) - 54439/32*(2*x - 1)^3*sqrt(-2*x + 1) - 290521/320*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1871,1,97,0,0.991319," ","integrate((1-2*x)^(3/2)*(2+3*x)^3*(3+5*x)^2,x, algorithm=""giac"")","-\frac{45}{32} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} - \frac{7695}{416} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{17541}{176} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{39977}{144} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{13013}{32} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{41503}{160} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-45/32*(2*x - 1)^7*sqrt(-2*x + 1) - 7695/416*(2*x - 1)^6*sqrt(-2*x + 1) - 17541/176*(2*x - 1)^5*sqrt(-2*x + 1) - 39977/144*(2*x - 1)^4*sqrt(-2*x + 1) - 13013/32*(2*x - 1)^3*sqrt(-2*x + 1) - 41503/160*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1872,1,81,0,0.922681," ","integrate((1-2*x)^(3/2)*(2+3*x)^2*(3+5*x)^2,x, algorithm=""giac"")","-\frac{225}{208} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{255}{22} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{3467}{72} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{187}{2} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{5929}{80} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-225/208*(2*x - 1)^6*sqrt(-2*x + 1) - 255/22*(2*x - 1)^5*sqrt(-2*x + 1) - 3467/72*(2*x - 1)^4*sqrt(-2*x + 1) - 187/2*(2*x - 1)^3*sqrt(-2*x + 1) - 5929/80*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1873,1,65,0,1.001316," ","integrate((1-2*x)^(3/2)*(2+3*x)*(3+5*x)^2,x, algorithm=""giac"")","-\frac{75}{88} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{505}{72} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{1133}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{847}{40} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-75/88*(2*x - 1)^5*sqrt(-2*x + 1) - 505/72*(2*x - 1)^4*sqrt(-2*x + 1) - 1133/56*(2*x - 1)^3*sqrt(-2*x + 1) - 847/40*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1874,1,49,0,1.086796," ","integrate((1-2*x)^(3/2)*(3+5*x)^2,x, algorithm=""giac"")","-\frac{25}{36} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{55}{14} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{121}{20} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-25/36*(2*x - 1)^4*sqrt(-2*x + 1) - 55/14*(2*x - 1)^3*sqrt(-2*x + 1) - 121/20*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1875,1,90,0,0.911311," ","integrate((1-2*x)^(3/2)*(3+5*x)^2/(2+3*x),x, algorithm=""giac"")","-\frac{25}{42} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{31}{18} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{2}{81} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{7}{243} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{14}{81} \, \sqrt{-2 \, x + 1}"," ",0,"-25/42*(2*x - 1)^3*sqrt(-2*x + 1) - 31/18*(2*x - 1)^2*sqrt(-2*x + 1) + 2/81*(-2*x + 1)^(3/2) + 7/243*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 14/81*sqrt(-2*x + 1)","A",0
1876,1,90,0,0.993363," ","integrate((1-2*x)^(3/2)*(3+5*x)^2/(2+3*x)^2,x, algorithm=""giac"")","-\frac{5}{9} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{20}{81} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{73}{243} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{16}{9} \, \sqrt{-2 \, x + 1} - \frac{7 \, \sqrt{-2 \, x + 1}}{81 \, {\left(3 \, x + 2\right)}}"," ",0,"-5/9*(2*x - 1)^2*sqrt(-2*x + 1) - 20/81*(-2*x + 1)^(3/2) - 73/243*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 16/9*sqrt(-2*x + 1) - 7/81*sqrt(-2*x + 1)/(3*x + 2)","A",0
1877,1,86,0,0.884833," ","integrate((1-2*x)^(3/2)*(3+5*x)^2/(2+3*x)^3,x, algorithm=""giac"")","\frac{50}{81} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{2873}{3402} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{130}{27} \, \sqrt{-2 \, x + 1} - \frac{435 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1001 \, \sqrt{-2 \, x + 1}}{324 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"50/81*(-2*x + 1)^(3/2) + 2873/3402*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 130/27*sqrt(-2*x + 1) - 1/324*(435*(-2*x + 1)^(3/2) - 1001*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1878,1,93,0,0.986347," ","integrate((1-2*x)^(3/2)*(3+5*x)^2/(2+3*x)^4,x, algorithm=""giac"")","-\frac{7559}{23814} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{100}{81} \, \sqrt{-2 \, x + 1} - \frac{25209 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 114604 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 130291 \, \sqrt{-2 \, x + 1}}{4536 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"-7559/23814*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 100/81*sqrt(-2*x + 1) - 1/4536*(25209*(2*x - 1)^2*sqrt(-2*x + 1) - 114604*(-2*x + 1)^(3/2) + 130291*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1879,1,100,0,1.011328," ","integrate((1-2*x)^(3/2)*(3+5*x)^2/(2+3*x)^5,x, algorithm=""giac"")","\frac{14423}{666792} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{668979 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 3983007 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 7773997 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 4947089 \, \sqrt{-2 \, x + 1}}{254016 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"14423/666792*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/254016*(668979*(2*x - 1)^3*sqrt(-2*x + 1) + 3983007*(2*x - 1)^2*sqrt(-2*x + 1) - 7773997*(-2*x + 1)^(3/2) + 4947089*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1880,1,116,0,1.027234," ","integrate((1-2*x)^(3/2)*(3+5*x)^2/(2+3*x)^6,x, algorithm=""giac"")","\frac{4693}{4667544} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{1900665 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - 3999870 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - 57567552 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 112678930 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 56339465 \, \sqrt{-2 \, x + 1}}{17781120 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"4693/4667544*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/17781120*(1900665*(2*x - 1)^4*sqrt(-2*x + 1) - 3999870*(2*x - 1)^3*sqrt(-2*x + 1) - 57567552*(2*x - 1)^2*sqrt(-2*x + 1) + 112678930*(-2*x + 1)^(3/2) - 56339465*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
1881,1,132,0,1.092676," ","integrate((1-2*x)^(3/2)*(3+5*x)^2/(2+3*x)^7,x, algorithm=""giac"")","\frac{991}{9335088} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{1204065 \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + 15920415 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 27261738 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - 78964578 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 202248235 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 83278685 \, \sqrt{-2 \, x + 1}}{71124480 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"991/9335088*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/71124480*(1204065*(2*x - 1)^5*sqrt(-2*x + 1) + 15920415*(2*x - 1)^4*sqrt(-2*x + 1) + 27261738*(2*x - 1)^3*sqrt(-2*x + 1) - 78964578*(2*x - 1)^2*sqrt(-2*x + 1) + 202248235*(-2*x + 1)^(3/2) - 83278685*sqrt(-2*x + 1))/(3*x + 2)^6","A",0
1882,1,129,0,0.977025," ","integrate((1-2*x)^(3/2)*(2+3*x)^4*(3+5*x)^3,x, algorithm=""giac"")","-\frac{10125}{2432} \, {\left(2 \, x - 1\right)}^{9} \sqrt{-2 \, x + 1} - \frac{161325}{2176} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} - \frac{73431}{128} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} - \frac{4177401}{1664} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{9504551}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{4324397}{384} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{1405173}{128} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{3195731}{640} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-10125/2432*(2*x - 1)^9*sqrt(-2*x + 1) - 161325/2176*(2*x - 1)^8*sqrt(-2*x + 1) - 73431/128*(2*x - 1)^7*sqrt(-2*x + 1) - 4177401/1664*(2*x - 1)^6*sqrt(-2*x + 1) - 9504551/1408*(2*x - 1)^5*sqrt(-2*x + 1) - 4324397/384*(2*x - 1)^4*sqrt(-2*x + 1) - 1405173/128*(2*x - 1)^3*sqrt(-2*x + 1) - 3195731/640*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1883,1,113,0,0.962151," ","integrate((1-2*x)^(3/2)*(2+3*x)^3*(3+5*x)^3,x, algorithm=""giac"")","-\frac{3375}{1088} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} - \frac{765}{16} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} - \frac{260055}{832} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{98209}{88} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{444983}{192} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{43197}{16} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{456533}{320} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-3375/1088*(2*x - 1)^8*sqrt(-2*x + 1) - 765/16*(2*x - 1)^7*sqrt(-2*x + 1) - 260055/832*(2*x - 1)^6*sqrt(-2*x + 1) - 98209/88*(2*x - 1)^5*sqrt(-2*x + 1) - 444983/192*(2*x - 1)^4*sqrt(-2*x + 1) - 43197/16*(2*x - 1)^3*sqrt(-2*x + 1) - 456533/320*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1884,1,97,0,0.915848," ","integrate((1-2*x)^(3/2)*(2+3*x)^2*(3+5*x)^3,x, algorithm=""giac"")","-\frac{75}{32} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} - \frac{975}{32} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{28555}{176} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{21439}{48} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{20691}{32} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{65219}{160} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-75/32*(2*x - 1)^7*sqrt(-2*x + 1) - 975/32*(2*x - 1)^6*sqrt(-2*x + 1) - 28555/176*(2*x - 1)^5*sqrt(-2*x + 1) - 21439/48*(2*x - 1)^4*sqrt(-2*x + 1) - 20691/32*(2*x - 1)^3*sqrt(-2*x + 1) - 65219/160*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1885,1,81,0,1.092196," ","integrate((1-2*x)^(3/2)*(2+3*x)*(3+5*x)^3,x, algorithm=""giac"")","-\frac{375}{208} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{1675}{88} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{935}{12} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{8349}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{9317}{80} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-375/208*(2*x - 1)^6*sqrt(-2*x + 1) - 1675/88*(2*x - 1)^5*sqrt(-2*x + 1) - 935/12*(2*x - 1)^4*sqrt(-2*x + 1) - 8349/56*(2*x - 1)^3*sqrt(-2*x + 1) - 9317/80*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1886,1,65,0,0.815070," ","integrate((1-2*x)^(3/2)*(3+5*x)^3,x, algorithm=""giac"")","-\frac{125}{88} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{275}{24} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{1815}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{1331}{40} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1}"," ",0,"-125/88*(2*x - 1)^5*sqrt(-2*x + 1) - 275/24*(2*x - 1)^4*sqrt(-2*x + 1) - 1815/56*(2*x - 1)^3*sqrt(-2*x + 1) - 1331/40*(2*x - 1)^2*sqrt(-2*x + 1)","A",0
1887,1,106,0,1.082447," ","integrate((1-2*x)^(3/2)*(3+5*x)^3/(2+3*x),x, algorithm=""giac"")","-\frac{125}{108} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{400}{63} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{1027}{108} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{2}{243} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{7}{729} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{14}{243} \, \sqrt{-2 \, x + 1}"," ",0,"-125/108*(2*x - 1)^4*sqrt(-2*x + 1) - 400/63*(2*x - 1)^3*sqrt(-2*x + 1) - 1027/108*(2*x - 1)^2*sqrt(-2*x + 1) - 2/243*(-2*x + 1)^(3/2) - 7/729*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 14/243*sqrt(-2*x + 1)","A",0
1888,1,106,0,1.021447," ","integrate((1-2*x)^(3/2)*(3+5*x)^3/(2+3*x)^2,x, algorithm=""giac"")","-\frac{125}{126} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{145}{54} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{10}{81} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{4}{27} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{214}{243} \, \sqrt{-2 \, x + 1} + \frac{7 \, \sqrt{-2 \, x + 1}}{243 \, {\left(3 \, x + 2\right)}}"," ",0,"-125/126*(2*x - 1)^3*sqrt(-2*x + 1) - 145/54*(2*x - 1)^2*sqrt(-2*x + 1) + 10/81*(-2*x + 1)^(3/2) + 4/27*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 214/243*sqrt(-2*x + 1) + 7/243*sqrt(-2*x + 1)/(3*x + 2)","A",0
1889,1,102,0,0.922443," ","integrate((1-2*x)^(3/2)*(3+5*x)^3/(2+3*x)^3,x, algorithm=""giac"")","-\frac{25}{27} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{50}{81} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{887}{1134} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{370}{81} \, \sqrt{-2 \, x + 1} + \frac{215 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 497 \, \sqrt{-2 \, x + 1}}{324 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-25/27*(2*x - 1)^2*sqrt(-2*x + 1) - 50/81*(-2*x + 1)^(3/2) - 887/1134*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 370/81*sqrt(-2*x + 1) + 1/324*(215*(-2*x + 1)^(3/2) - 497*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1890,1,102,0,1.071151," ","integrate((1-2*x)^(3/2)*(3+5*x)^3/(2+3*x)^4,x, algorithm=""giac"")","\frac{250}{243} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{18019}{11907} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2050}{243} \, \sqrt{-2 \, x + 1} + \frac{17721 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 81571 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 93884 \, \sqrt{-2 \, x + 1}}{3402 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"250/243*(-2*x + 1)^(3/2) + 18019/11907*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 2050/243*sqrt(-2*x + 1) + 1/3402*(17721*(2*x - 1)^2*sqrt(-2*x + 1) - 81571*(-2*x + 1)^(3/2) + 93884*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1891,1,109,0,0.974248," ","integrate((1-2*x)^(3/2)*(3+5*x)^3/(2+3*x)^5,x, algorithm=""giac"")","-\frac{13243}{24696} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{500}{243} \, \sqrt{-2 \, x + 1} - \frac{11256759 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 76821507 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 174808137 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 132632269 \, \sqrt{-2 \, x + 1}}{762048 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"-13243/24696*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 500/243*sqrt(-2*x + 1) - 1/762048*(11256759*(2*x - 1)^3*sqrt(-2*x + 1) + 76821507*(2*x - 1)^2*sqrt(-2*x + 1) - 174808137*(-2*x + 1)^(3/2) + 132632269*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1892,1,116,0,1.118561," ","integrate((1-2*x)^(3/2)*(3+5*x)^3/(2+3*x)^6,x, algorithm=""giac"")","\frac{6946}{194481} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2452185 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 20184570 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 61826142 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 83386730 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 41693365 \, \sqrt{-2 \, x + 1}}{370440 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"6946/194481*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/370440*(2452185*(2*x - 1)^4*sqrt(-2*x + 1) + 20184570*(2*x - 1)^3*sqrt(-2*x + 1) + 61826142*(2*x - 1)^2*sqrt(-2*x + 1) - 83386730*(-2*x + 1)^(3/2) + 41693365*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
1893,1,132,0,1.034225," ","integrate((1-2*x)^(3/2)*(3+5*x)^3/(2+3*x)^7,x, algorithm=""giac"")","\frac{15313}{9335088} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{18605295 \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - 956655 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - 678093066 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - 2443710654 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 3125153605 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1286827955 \, \sqrt{-2 \, x + 1}}{71124480 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"15313/9335088*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/71124480*(18605295*(2*x - 1)^5*sqrt(-2*x + 1) - 956655*(2*x - 1)^4*sqrt(-2*x + 1) - 678093066*(2*x - 1)^3*sqrt(-2*x + 1) - 2443710654*(2*x - 1)^2*sqrt(-2*x + 1) + 3125153605*(-2*x + 1)^(3/2) - 1286827955*sqrt(-2*x + 1))/(3*x + 2)^6","A",0
1894,1,148,0,0.936627," ","integrate((1-2*x)^(3/2)*(3+5*x)^3/(2+3*x)^8,x, algorithm=""giac"")","\frac{4369}{25412184} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{15925005 \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + 247722300 \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + 829056921 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - 304480512 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - 5224501569 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 7342978300 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2570042405 \, \sqrt{-2 \, x + 1}}{387233280 \, {\left(3 \, x + 2\right)}^{7}}"," ",0,"4369/25412184*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/387233280*(15925005*(2*x - 1)^6*sqrt(-2*x + 1) + 247722300*(2*x - 1)^5*sqrt(-2*x + 1) + 829056921*(2*x - 1)^4*sqrt(-2*x + 1) - 304480512*(2*x - 1)^3*sqrt(-2*x + 1) - 5224501569*(2*x - 1)^2*sqrt(-2*x + 1) + 7342978300*(-2*x + 1)^(3/2) - 2570042405*sqrt(-2*x + 1))/(3*x + 2)^7","A",0
1895,1,154,0,0.966058," ","integrate((1-2*x)^(3/2)*(2+3*x)^6/(3+5*x),x, algorithm=""giac"")","-\frac{243}{800} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} - \frac{43011}{10400} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{507627}{22000} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{665817}{10000} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{70752609}{700000} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{167115051}{2500000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{2}{234375} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{11}{1953125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{22}{390625} \, \sqrt{-2 \, x + 1}"," ",0,"-243/800*(2*x - 1)^7*sqrt(-2*x + 1) - 43011/10400*(2*x - 1)^6*sqrt(-2*x + 1) - 507627/22000*(2*x - 1)^5*sqrt(-2*x + 1) - 665817/10000*(2*x - 1)^4*sqrt(-2*x + 1) - 70752609/700000*(2*x - 1)^3*sqrt(-2*x + 1) - 167115051/2500000*(2*x - 1)^2*sqrt(-2*x + 1) + 2/234375*(-2*x + 1)^(3/2) + 11/1953125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 22/390625*sqrt(-2*x + 1)","A",0
1896,1,138,0,1.121372," ","integrate((1-2*x)^(3/2)*(2+3*x)^5/(3+5*x),x, algorithm=""giac"")","-\frac{243}{1040} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{5751}{2200} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{5673}{500} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{806121}{35000} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{4774713}{250000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{2}{46875} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{11}{390625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{22}{78125} \, \sqrt{-2 \, x + 1}"," ",0,"-243/1040*(2*x - 1)^6*sqrt(-2*x + 1) - 5751/2200*(2*x - 1)^5*sqrt(-2*x + 1) - 5673/500*(2*x - 1)^4*sqrt(-2*x + 1) - 806121/35000*(2*x - 1)^3*sqrt(-2*x + 1) - 4774713/250000*(2*x - 1)^2*sqrt(-2*x + 1) + 2/46875*(-2*x + 1)^(3/2) + 11/390625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 22/78125*sqrt(-2*x + 1)","A",0
1897,1,122,0,0.970753," ","integrate((1-2*x)^(3/2)*(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","-\frac{81}{440} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{321}{200} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{34371}{7000} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{136419}{25000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{2}{9375} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{11}{78125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{22}{15625} \, \sqrt{-2 \, x + 1}"," ",0,"-81/440*(2*x - 1)^5*sqrt(-2*x + 1) - 321/200*(2*x - 1)^4*sqrt(-2*x + 1) - 34371/7000*(2*x - 1)^3*sqrt(-2*x + 1) - 136419/25000*(2*x - 1)^2*sqrt(-2*x + 1) + 2/9375*(-2*x + 1)^(3/2) + 11/78125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 22/15625*sqrt(-2*x + 1)","A",0
1898,1,106,0,1.033658," ","integrate((1-2*x)^(3/2)*(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","-\frac{3}{20} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{162}{175} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{3897}{2500} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{2}{1875} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{11}{15625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{22}{3125} \, \sqrt{-2 \, x + 1}"," ",0,"-3/20*(2*x - 1)^4*sqrt(-2*x + 1) - 162/175*(2*x - 1)^3*sqrt(-2*x + 1) - 3897/2500*(2*x - 1)^2*sqrt(-2*x + 1) + 2/1875*(-2*x + 1)^(3/2) + 11/15625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 22/3125*sqrt(-2*x + 1)","A",0
1899,1,90,0,1.035706," ","integrate((1-2*x)^(3/2)*(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","-\frac{9}{70} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{111}{250} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{2}{375} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{11}{3125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{22}{625} \, \sqrt{-2 \, x + 1}"," ",0,"-9/70*(2*x - 1)^3*sqrt(-2*x + 1) - 111/250*(2*x - 1)^2*sqrt(-2*x + 1) + 2/375*(-2*x + 1)^(3/2) + 11/3125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 22/625*sqrt(-2*x + 1)","A",0
1900,1,74,0,1.011338," ","integrate((1-2*x)^(3/2)*(2+3*x)/(3+5*x),x, algorithm=""giac"")","-\frac{3}{25} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{2}{75} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{11}{625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{22}{125} \, \sqrt{-2 \, x + 1}"," ",0,"-3/25*(2*x - 1)^2*sqrt(-2*x + 1) + 2/75*(-2*x + 1)^(3/2) + 11/625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 22/125*sqrt(-2*x + 1)","A",0
1901,1,58,0,0.985473," ","integrate((1-2*x)^(3/2)/(3+5*x),x, algorithm=""giac"")","\frac{2}{15} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{11}{125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{22}{25} \, \sqrt{-2 \, x + 1}"," ",0,"2/15*(-2*x + 1)^(3/2) + 11/125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 22/25*sqrt(-2*x + 1)","A",0
1902,1,88,0,1.039389," ","integrate((1-2*x)^(3/2)/(2+3*x)/(3+5*x),x, algorithm=""giac"")","\frac{11}{25} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{7}{9} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{4}{15} \, \sqrt{-2 \, x + 1}"," ",0,"11/25*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 7/9*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 4/15*sqrt(-2*x + 1)","A",0
1903,1,95,0,1.101635," ","integrate((1-2*x)^(3/2)/(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{11}{5} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{32}{9} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{7 \, \sqrt{-2 \, x + 1}}{3 \, {\left(3 \, x + 2\right)}}"," ",0,"11/5*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 32/9*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 7/3*sqrt(-2*x + 1)/(3*x + 2)","A",0
1904,1,107,0,1.062549," ","integrate((1-2*x)^(3/2)/(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","11 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2243}{126} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{195 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 469 \, \sqrt{-2 \, x + 1}}{12 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"11*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 2243/126*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/12*(195*(-2*x + 1)^(3/2) - 469*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1905,1,123,0,1.094896," ","integrate((1-2*x)^(3/2)/(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","55 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{39253}{441} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{5121 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 24241 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 28714 \, \sqrt{-2 \, x + 1}}{42 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"55*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 39253/441*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/42*(5121*(2*x - 1)^2*sqrt(-2*x + 1) - 24241*(-2*x + 1)^(3/2) + 28714*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1906,1,139,0,0.942554," ","integrate((1-2*x)^(3/2)/(2+3*x)^5/(3+5*x),x, algorithm=""giac"")","275 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{10990843}{24696} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{8603361 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 60799893 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 143262623 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 112557851 \, \sqrt{-2 \, x + 1}}{9408 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"275*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 10990843/24696*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/9408*(8603361*(2*x - 1)^3*sqrt(-2*x + 1) + 60799893*(2*x - 1)^2*sqrt(-2*x + 1) - 143262623*(-2*x + 1)^(3/2) + 112557851*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1907,1,155,0,1.023036," ","integrate((1-2*x)^(3/2)/(2+3*x)^6/(3+5*x),x, algorithm=""giac"")","1375 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{96169877}{43218} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1129191435 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 10614768570 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 37423200612 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 58647378230 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 34470832865 \, \sqrt{-2 \, x + 1}}{164640 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"1375*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 96169877/43218*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/164640*(1129191435*(2*x - 1)^4*sqrt(-2*x + 1) + 10614768570*(2*x - 1)^3*sqrt(-2*x + 1) + 37423200612*(2*x - 1)^2*sqrt(-2*x + 1) - 58647378230*(-2*x + 1)^(3/2) + 34470832865*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
1908,1,138,0,1.092006," ","integrate((1-2*x)^(3/2)*(2+3*x)^5/(3+5*x)^2,x, algorithm=""giac"")","-\frac{243}{2200} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{981}{1000} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{107109}{35000} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{434043}{125000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{2}{3125} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{162}{390625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{326}{78125} \, \sqrt{-2 \, x + 1} - \frac{11 \, \sqrt{-2 \, x + 1}}{78125 \, {\left(5 \, x + 3\right)}}"," ",0,"-243/2200*(2*x - 1)^5*sqrt(-2*x + 1) - 981/1000*(2*x - 1)^4*sqrt(-2*x + 1) - 107109/35000*(2*x - 1)^3*sqrt(-2*x + 1) - 434043/125000*(2*x - 1)^2*sqrt(-2*x + 1) + 2/3125*(-2*x + 1)^(3/2) + 162/390625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 326/78125*sqrt(-2*x + 1) - 11/78125*sqrt(-2*x + 1)/(5*x + 3)","A",0
1909,1,122,0,1.025157," ","integrate((1-2*x)^(3/2)*(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","-\frac{9}{100} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{999}{1750} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{12393}{12500} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{8}{3125} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{129}{78125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{52}{3125} \, \sqrt{-2 \, x + 1} - \frac{11 \, \sqrt{-2 \, x + 1}}{15625 \, {\left(5 \, x + 3\right)}}"," ",0,"-9/100*(2*x - 1)^4*sqrt(-2*x + 1) - 999/1750*(2*x - 1)^3*sqrt(-2*x + 1) - 12393/12500*(2*x - 1)^2*sqrt(-2*x + 1) + 8/3125*(-2*x + 1)^(3/2) + 129/78125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 52/3125*sqrt(-2*x + 1) - 11/15625*sqrt(-2*x + 1)/(5*x + 3)","A",0
1910,1,106,0,1.047769," ","integrate((1-2*x)^(3/2)*(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{27}{350} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{351}{1250} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{6}{625} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{96}{15625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{194}{3125} \, \sqrt{-2 \, x + 1} - \frac{11 \, \sqrt{-2 \, x + 1}}{3125 \, {\left(5 \, x + 3\right)}}"," ",0,"-27/350*(2*x - 1)^3*sqrt(-2*x + 1) - 351/1250*(2*x - 1)^2*sqrt(-2*x + 1) + 6/625*(-2*x + 1)^(3/2) + 96/15625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 194/3125*sqrt(-2*x + 1) - 11/3125*sqrt(-2*x + 1)/(5*x + 3)","A",0
1911,1,90,0,1.026054," ","integrate((1-2*x)^(3/2)*(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{9}{125} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{4}{125} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{63}{3125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{128}{625} \, \sqrt{-2 \, x + 1} - \frac{11 \, \sqrt{-2 \, x + 1}}{625 \, {\left(5 \, x + 3\right)}}"," ",0,"-9/125*(2*x - 1)^2*sqrt(-2*x + 1) + 4/125*(-2*x + 1)^(3/2) + 63/3125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 128/625*sqrt(-2*x + 1) - 11/625*sqrt(-2*x + 1)/(5*x + 3)","A",0
1912,1,74,0,0.972937," ","integrate((1-2*x)^(3/2)*(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","\frac{2}{25} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{6}{125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{62}{125} \, \sqrt{-2 \, x + 1} - \frac{11 \, \sqrt{-2 \, x + 1}}{125 \, {\left(5 \, x + 3\right)}}"," ",0,"2/25*(-2*x + 1)^(3/2) + 6/125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 62/125*sqrt(-2*x + 1) - 11/125*sqrt(-2*x + 1)/(5*x + 3)","A",0
1913,1,65,0,0.967046," ","integrate((1-2*x)^(3/2)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{3}{125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{4}{25} \, \sqrt{-2 \, x + 1} - \frac{11 \, \sqrt{-2 \, x + 1}}{25 \, {\left(5 \, x + 3\right)}}"," ",0,"-3/125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 4/25*sqrt(-2*x + 1) - 11/25*sqrt(-2*x + 1)/(5*x + 3)","A",0
1914,1,95,0,0.905891," ","integrate((1-2*x)^(3/2)/(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{36}{25} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{7}{3} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{11 \, \sqrt{-2 \, x + 1}}{5 \, {\left(5 \, x + 3\right)}}"," ",0,"-36/25*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 7/3*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 11/5*sqrt(-2*x + 1)/(5*x + 3)","A",0
1915,1,116,0,1.063312," ","integrate((1-2*x)^(3/2)/(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{69}{5} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{67}{3} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(34 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 77 \, \sqrt{-2 \, x + 1}\right)}}{15 \, {\left(2 \, x - 1\right)}^{2} + 136 \, x + 9}"," ",0,"-69/5*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 67/3*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 4*(34*(-2*x + 1)^(3/2) - 77*sqrt(-2*x + 1))/(15*(2*x - 1)^2 + 136*x + 9)","A",0
1916,1,123,0,1.077416," ","integrate((1-2*x)^(3/2)/(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-102 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2311}{14} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{55 \, \sqrt{-2 \, x + 1}}{5 \, x + 3} + \frac{405 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 959 \, \sqrt{-2 \, x + 1}}{4 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-102*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 2311/14*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 55*sqrt(-2*x + 1)/(5*x + 3) + 1/4*(405*(-2*x + 1)^(3/2) - 959*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1917,1,139,0,1.089752," ","integrate((1-2*x)^(3/2)/(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","-675 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{321161}{294} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{275 \, \sqrt{-2 \, x + 1}}{5 \, x + 3} - \frac{63009 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 296884 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 349811 \, \sqrt{-2 \, x + 1}}{56 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"-675*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 321161/294*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 275*sqrt(-2*x + 1)/(5*x + 3) - 1/56*(63009*(2*x - 1)^2*sqrt(-2*x + 1) - 296884*(-2*x + 1)^(3/2) + 349811*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1918,1,155,0,1.042405," ","integrate((1-2*x)^(3/2)/(2+3*x)^5/(3+5*x)^2,x, algorithm=""giac"")","-4200 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{55953383}{8232} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{1375 \, \sqrt{-2 \, x + 1}}{5 \, x + 3} - \frac{35067141 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 247239993 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 581129563 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 455372631 \, \sqrt{-2 \, x + 1}}{3136 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"-4200*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 55953383/8232*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1375*sqrt(-2*x + 1)/(5*x + 3) - 1/3136*(35067141*(2*x - 1)^3*sqrt(-2*x + 1) + 247239993*(2*x - 1)^2*sqrt(-2*x + 1) - 581129563*(-2*x + 1)^(3/2) + 455372631*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1919,1,118,0,1.075310," ","integrate((1-2*x)^(3/2)*(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","-\frac{81}{1750} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{1107}{6250} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{36}{3125} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{12279}{1718750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{228}{3125} \, \sqrt{-2 \, x + 1} + \frac{1295 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2871 \, \sqrt{-2 \, x + 1}}{62500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"-81/1750*(2*x - 1)^3*sqrt(-2*x + 1) - 1107/6250*(2*x - 1)^2*sqrt(-2*x + 1) + 36/3125*(-2*x + 1)^(3/2) + 12279/1718750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 228/3125*sqrt(-2*x + 1) + 1/62500*(1295*(-2*x + 1)^(3/2) - 2871*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1920,1,102,0,1.039443," ","integrate((1-2*x)^(3/2)*(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","-\frac{27}{625} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{18}{625} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{5943}{343750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{558}{3125} \, \sqrt{-2 \, x + 1} + \frac{193 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 429 \, \sqrt{-2 \, x + 1}}{2500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"-27/625*(2*x - 1)^2*sqrt(-2*x + 1) + 18/625*(-2*x + 1)^(3/2) + 5943/343750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 558/3125*sqrt(-2*x + 1) + 1/2500*(193*(-2*x + 1)^(3/2) - 429*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1921,1,86,0,1.082985," ","integrate((1-2*x)^(3/2)*(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{6}{125} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{357}{13750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{174}{625} \, \sqrt{-2 \, x + 1} + \frac{635 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1419 \, \sqrt{-2 \, x + 1}}{2500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"6/125*(-2*x + 1)^(3/2) + 357/13750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 174/625*sqrt(-2*x + 1) + 1/2500*(635*(-2*x + 1)^(3/2) - 1419*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1922,1,77,0,0.966311," ","integrate((1-2*x)^(3/2)*(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{39}{2750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{12}{125} \, \sqrt{-2 \, x + 1} + \frac{305 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 693 \, \sqrt{-2 \, x + 1}}{500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"-39/2750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 12/125*sqrt(-2*x + 1) + 1/500*(305*(-2*x + 1)^(3/2) - 693*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1923,1,68,0,1.165107," ","integrate((1-2*x)^(3/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{3}{2750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{25 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 33 \, \sqrt{-2 \, x + 1}}{100 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"3/2750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 1/100*(25*(-2*x + 1)^(3/2) - 33*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1924,1,107,0,1.190827," ","integrate((1-2*x)^(3/2)/(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{2379}{550} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - 7 \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{355 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 759 \, \sqrt{-2 \, x + 1}}{20 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"2379/550*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 7*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/20*(355*(-2*x + 1)^(3/2) - 759*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1925,1,123,0,0.852173," ","integrate((1-2*x)^(3/2)/(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{6933}{110} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - 102 \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{21 \, \sqrt{-2 \, x + 1}}{3 \, x + 2} - \frac{5 \, {\left(137 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 297 \, \sqrt{-2 \, x + 1}\right)}}{4 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"6933/110*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 102*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 21*sqrt(-2*x + 1)/(3*x + 2) - 5/4*(137*(-2*x + 1)^(3/2) - 297*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1926,1,148,0,0.945300," ","integrate((1-2*x)^(3/2)/(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{13665}{22} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{14073}{14} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2 \, {\left(45900 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 312135 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 707200 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 533841 \, \sqrt{-2 \, x + 1}\right)}}{{\left(15 \, {\left(2 \, x - 1\right)}^{2} + 136 \, x + 9\right)}^{2}}"," ",0,"13665/22*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 14073/14*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 2*(45900*(2*x - 1)^3*sqrt(-2*x + 1) + 312135*(2*x - 1)^2*sqrt(-2*x + 1) - 707200*(-2*x + 1)^(3/2) + 533841*sqrt(-2*x + 1))/(15*(2*x - 1)^2 + 136*x + 9)^2","A",0
1927,1,151,0,1.040701," ","integrate((1-2*x)^(3/2)/(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","\frac{112875}{22} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{406858}{49} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{25 \, {\left(1345 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2937 \, \sqrt{-2 \, x + 1}\right)}}{4 \, {\left(5 \, x + 3\right)}^{2}} + \frac{3 \, {\left(15948 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 74963 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 88102 \, \sqrt{-2 \, x + 1}\right)}}{7 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"112875/22*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 406858/49*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 25/4*(1345*(-2*x + 1)^(3/2) - 2937*sqrt(-2*x + 1))/(5*x + 3)^2 + 3/7*(15948*(2*x - 1)^2*sqrt(-2*x + 1) - 74963*(-2*x + 1)^(3/2) + 88102*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1928,1,129,0,1.066391," ","integrate((1-2*x)^(5/2)*(2+3*x)^6*(3+5*x),x, algorithm=""giac"")","\frac{1215}{896} \, {\left(2 \, x - 1\right)}^{10} \sqrt{-2 \, x + 1} + \frac{59049}{2432} \, {\left(2 \, x - 1\right)}^{9} \sqrt{-2 \, x + 1} + \frac{409941}{2176} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} + \frac{105399}{128} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{3658095}{1664} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{5078115}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{3916031}{1152} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{184877}{128} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"1215/896*(2*x - 1)^10*sqrt(-2*x + 1) + 59049/2432*(2*x - 1)^9*sqrt(-2*x + 1) + 409941/2176*(2*x - 1)^8*sqrt(-2*x + 1) + 105399/128*(2*x - 1)^7*sqrt(-2*x + 1) + 3658095/1664*(2*x - 1)^6*sqrt(-2*x + 1) + 5078115/1408*(2*x - 1)^5*sqrt(-2*x + 1) + 3916031/1152*(2*x - 1)^4*sqrt(-2*x + 1) + 184877/128*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1929,1,113,0,0.924281," ","integrate((1-2*x)^(5/2)*(2+3*x)^5*(3+5*x),x, algorithm=""giac"")","\frac{1215}{1216} \, {\left(2 \, x - 1\right)}^{9} \sqrt{-2 \, x + 1} + \frac{1053}{68} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} + \frac{6489}{64} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{37485}{104} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{519645}{704} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{60025}{72} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{26411}{64} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"1215/1216*(2*x - 1)^9*sqrt(-2*x + 1) + 1053/68*(2*x - 1)^8*sqrt(-2*x + 1) + 6489/64*(2*x - 1)^7*sqrt(-2*x + 1) + 37485/104*(2*x - 1)^6*sqrt(-2*x + 1) + 519645/704*(2*x - 1)^5*sqrt(-2*x + 1) + 60025/72*(2*x - 1)^4*sqrt(-2*x + 1) + 26411/64*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1930,1,97,0,0.986944," ","integrate((1-2*x)^(5/2)*(2+3*x)^4*(3+5*x),x, algorithm=""giac"")","\frac{405}{544} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} + \frac{1557}{160} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{10773}{208} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{24843}{176} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{57281}{288} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{3773}{32} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"405/544*(2*x - 1)^8*sqrt(-2*x + 1) + 1557/160*(2*x - 1)^7*sqrt(-2*x + 1) + 10773/208*(2*x - 1)^6*sqrt(-2*x + 1) + 24843/176*(2*x - 1)^5*sqrt(-2*x + 1) + 57281/288*(2*x - 1)^4*sqrt(-2*x + 1) + 3773/32*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1931,1,81,0,1.037765," ","integrate((1-2*x)^(5/2)*(2+3*x)^3*(3+5*x),x, algorithm=""giac"")","\frac{9}{16} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{621}{104} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{1071}{44} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{3283}{72} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{539}{16} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"9/16*(2*x - 1)^7*sqrt(-2*x + 1) + 621/104*(2*x - 1)^6*sqrt(-2*x + 1) + 1071/44*(2*x - 1)^5*sqrt(-2*x + 1) + 3283/72*(2*x - 1)^4*sqrt(-2*x + 1) + 539/16*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1932,1,65,0,1.079349," ","integrate((1-2*x)^(5/2)*(2+3*x)^2*(3+5*x),x, algorithm=""giac"")","\frac{45}{104} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{309}{88} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{707}{72} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{77}{8} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"45/104*(2*x - 1)^6*sqrt(-2*x + 1) + 309/88*(2*x - 1)^5*sqrt(-2*x + 1) + 707/72*(2*x - 1)^4*sqrt(-2*x + 1) + 77/8*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1933,1,49,0,0.924242," ","integrate((1-2*x)^(5/2)*(2+3*x)*(3+5*x),x, algorithm=""giac"")","\frac{15}{44} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{17}{9} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{11}{4} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"15/44*(2*x - 1)^5*sqrt(-2*x + 1) + 17/9*(2*x - 1)^4*sqrt(-2*x + 1) + 11/4*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1934,1,33,0,0.952972," ","integrate((1-2*x)^(5/2)*(3+5*x),x, algorithm=""giac"")","\frac{5}{18} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{11}{14} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"5/18*(2*x - 1)^4*sqrt(-2*x + 1) + 11/14*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1935,1,90,0,1.062941," ","integrate((1-2*x)^(5/2)*(3+5*x)/(2+3*x),x, algorithm=""giac"")","\frac{5}{21} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{2}{45} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{14}{81} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{49}{243} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{98}{81} \, \sqrt{-2 \, x + 1}"," ",0,"5/21*(2*x - 1)^3*sqrt(-2*x + 1) - 2/45*(2*x - 1)^2*sqrt(-2*x + 1) - 14/81*(-2*x + 1)^(3/2) - 49/243*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 98/81*sqrt(-2*x + 1)","A",0
1936,1,90,0,1.133355," ","integrate((1-2*x)^(5/2)*(3+5*x)/(2+3*x)^2,x, algorithm=""giac"")","\frac{2}{9} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{74}{81} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{280}{243} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{182}{27} \, \sqrt{-2 \, x + 1} + \frac{49 \, \sqrt{-2 \, x + 1}}{81 \, {\left(3 \, x + 2\right)}}"," ",0,"2/9*(2*x - 1)^2*sqrt(-2*x + 1) + 74/81*(-2*x + 1)^(3/2) + 280/243*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 182/27*sqrt(-2*x + 1) + 49/81*sqrt(-2*x + 1)/(3*x + 2)","A",0
1937,1,86,0,1.112552," ","integrate((1-2*x)^(5/2)*(3+5*x)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{20}{81} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{365}{486} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{32}{9} \, \sqrt{-2 \, x + 1} + \frac{7 \, {\left(237 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 539 \, \sqrt{-2 \, x + 1}\right)}}{324 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-20/81*(-2*x + 1)^(3/2) - 365/486*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 32/9*sqrt(-2*x + 1) + 7/324*(237*(-2*x + 1)^(3/2) - 539*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1938,1,93,0,1.131996," ","integrate((1-2*x)^(5/2)*(3+5*x)/(2+3*x)^4,x, algorithm=""giac"")","\frac{265}{1701} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{40}{81} \, \sqrt{-2 \, x + 1} + \frac{1467 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 6020 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 6125 \, \sqrt{-2 \, x + 1}}{324 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"265/1701*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 40/81*sqrt(-2*x + 1) + 1/324*(1467*(2*x - 1)^2*sqrt(-2*x + 1) - 6020*(-2*x + 1)^(3/2) + 6125*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1939,1,100,0,1.061041," ","integrate((1-2*x)^(5/2)*(3+5*x)/(2+3*x)^5,x, algorithm=""giac"")","-\frac{695}{95256} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{41715 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 213087 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 374605 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 238385 \, \sqrt{-2 \, x + 1}}{36288 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"-695/95256*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/36288*(41715*(2*x - 1)^3*sqrt(-2*x + 1) + 213087*(2*x - 1)^2*sqrt(-2*x + 1) - 374605*(-2*x + 1)^(3/2) + 238385*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1940,1,116,0,1.043769," ","integrate((1-2*x)^(5/2)*(3+5*x)/(2+3*x)^6,x, algorithm=""giac"")","-\frac{43}{166698} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{17415 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - 163170 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - 809088 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 1032430 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 516215 \, \sqrt{-2 \, x + 1}}{635040 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"-43/166698*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/635040*(17415*(2*x - 1)^4*sqrt(-2*x + 1) - 163170*(2*x - 1)^3*sqrt(-2*x + 1) - 809088*(2*x - 1)^2*sqrt(-2*x + 1) + 1032430*(-2*x + 1)^(3/2) - 516215*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
1941,1,132,0,1.048162," ","integrate((1-2*x)^(5/2)*(3+5*x)/(2+3*x)^7,x, algorithm=""giac"")","-\frac{205}{9335088} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{49815 \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + 658665 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - 1161594 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - 8353422 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 8367485 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 3445435 \, \sqrt{-2 \, x + 1}}{14224896 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"-205/9335088*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/14224896*(49815*(2*x - 1)^5*sqrt(-2*x + 1) + 658665*(2*x - 1)^4*sqrt(-2*x + 1) - 1161594*(2*x - 1)^3*sqrt(-2*x + 1) - 8353422*(2*x - 1)^2*sqrt(-2*x + 1) + 8367485*(-2*x + 1)^(3/2) - 3445435*sqrt(-2*x + 1))/(3*x + 2)^6","A",0
1942,1,113,0,0.873371," ","integrate((1-2*x)^(5/2)*(2+3*x)^4*(3+5*x)^2,x, algorithm=""giac"")","\frac{2025}{1216} \, {\left(2 \, x - 1\right)}^{9} \sqrt{-2 \, x + 1} + \frac{13905}{544} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} + \frac{53037}{320} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{121359}{208} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{832951}{704} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{381073}{288} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{41503}{64} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"2025/1216*(2*x - 1)^9*sqrt(-2*x + 1) + 13905/544*(2*x - 1)^8*sqrt(-2*x + 1) + 53037/320*(2*x - 1)^7*sqrt(-2*x + 1) + 121359/208*(2*x - 1)^6*sqrt(-2*x + 1) + 832951/704*(2*x - 1)^5*sqrt(-2*x + 1) + 381073/288*(2*x - 1)^4*sqrt(-2*x + 1) + 41503/64*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1943,1,97,0,1.042717," ","integrate((1-2*x)^(5/2)*(2+3*x)^3*(3+5*x)^2,x, algorithm=""giac"")","\frac{675}{544} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} + \frac{513}{32} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{17541}{208} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{39977}{176} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{91091}{288} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{5929}{32} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"675/544*(2*x - 1)^8*sqrt(-2*x + 1) + 513/32*(2*x - 1)^7*sqrt(-2*x + 1) + 17541/208*(2*x - 1)^6*sqrt(-2*x + 1) + 39977/176*(2*x - 1)^5*sqrt(-2*x + 1) + 91091/288*(2*x - 1)^4*sqrt(-2*x + 1) + 5929/32*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1944,1,81,0,1.063691," ","integrate((1-2*x)^(5/2)*(2+3*x)^2*(3+5*x)^2,x, algorithm=""giac"")","\frac{15}{16} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{255}{26} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{3467}{88} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{1309}{18} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{847}{16} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"15/16*(2*x - 1)^7*sqrt(-2*x + 1) + 255/26*(2*x - 1)^6*sqrt(-2*x + 1) + 3467/88*(2*x - 1)^5*sqrt(-2*x + 1) + 1309/18*(2*x - 1)^4*sqrt(-2*x + 1) + 847/16*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1945,1,65,0,1.021643," ","integrate((1-2*x)^(5/2)*(2+3*x)*(3+5*x)^2,x, algorithm=""giac"")","\frac{75}{104} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{505}{88} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{1133}{72} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{121}{8} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"75/104*(2*x - 1)^6*sqrt(-2*x + 1) + 505/88*(2*x - 1)^5*sqrt(-2*x + 1) + 1133/72*(2*x - 1)^4*sqrt(-2*x + 1) + 121/8*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1946,1,49,0,0.953310," ","integrate((1-2*x)^(5/2)*(3+5*x)^2,x, algorithm=""giac"")","\frac{25}{44} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{55}{18} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{121}{28} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"25/44*(2*x - 1)^5*sqrt(-2*x + 1) + 55/18*(2*x - 1)^4*sqrt(-2*x + 1) + 121/28*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1947,1,106,0,0.882301," ","integrate((1-2*x)^(5/2)*(3+5*x)^2/(2+3*x),x, algorithm=""giac"")","\frac{25}{54} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{155}{126} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{2}{135} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{14}{243} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{49}{729} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{98}{243} \, \sqrt{-2 \, x + 1}"," ",0,"25/54*(2*x - 1)^4*sqrt(-2*x + 1) + 155/126*(2*x - 1)^3*sqrt(-2*x + 1) + 2/135*(2*x - 1)^2*sqrt(-2*x + 1) + 14/243*(-2*x + 1)^(3/2) + 49/729*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 98/243*sqrt(-2*x + 1)","A",0
1948,1,106,0,0.948847," ","integrate((1-2*x)^(5/2)*(3+5*x)^2/(2+3*x)^2,x, algorithm=""giac"")","\frac{25}{63} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{4}{27} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{16}{27} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{175}{243} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{1036}{243} \, \sqrt{-2 \, x + 1} - \frac{49 \, \sqrt{-2 \, x + 1}}{243 \, {\left(3 \, x + 2\right)}}"," ",0,"25/63*(2*x - 1)^3*sqrt(-2*x + 1) - 4/27*(2*x - 1)^2*sqrt(-2*x + 1) - 16/27*(-2*x + 1)^(3/2) - 175/243*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1036/243*sqrt(-2*x + 1) - 49/243*sqrt(-2*x + 1)/(3*x + 2)","A",0
1949,1,102,0,1.147561," ","integrate((1-2*x)^(5/2)*(3+5*x)^2/(2+3*x)^3,x, algorithm=""giac"")","\frac{10}{27} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{130}{81} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1055}{486} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1006}{81} \, \sqrt{-2 \, x + 1} - \frac{7 \, {\left(149 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 343 \, \sqrt{-2 \, x + 1}\right)}}{324 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"10/27*(2*x - 1)^2*sqrt(-2*x + 1) + 130/81*(-2*x + 1)^(3/2) + 1055/486*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1006/81*sqrt(-2*x + 1) - 7/324*(149*(-2*x + 1)^(3/2) - 343*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1950,1,102,0,0.845120," ","integrate((1-2*x)^(5/2)*(3+5*x)^2/(2+3*x)^4,x, algorithm=""giac"")","-\frac{100}{243} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{4435}{3402} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{1480}{243} \, \sqrt{-2 \, x + 1} - \frac{27819 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 126700 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 144305 \, \sqrt{-2 \, x + 1}}{1944 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"-100/243*(-2*x + 1)^(3/2) - 4435/3402*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1480/243*sqrt(-2*x + 1) - 1/1944*(27819*(2*x - 1)^2*sqrt(-2*x + 1) - 126700*(-2*x + 1)^(3/2) + 144305*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1951,1,109,0,1.042561," ","integrate((1-2*x)^(5/2)*(3+5*x)^2/(2+3*x)^5,x, algorithm=""giac"")","\frac{24965}{95256} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{200}{243} \, \sqrt{-2 \, x + 1} + \frac{1273995 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 8145207 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 17318805 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 12243385 \, \sqrt{-2 \, x + 1}}{108864 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"24965/95256*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 200/243*sqrt(-2*x + 1) + 1/108864*(1273995*(2*x - 1)^3*sqrt(-2*x + 1) + 8145207*(2*x - 1)^2*sqrt(-2*x + 1) - 17318805*(-2*x + 1)^(3/2) + 12243385*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1952,1,116,0,0.874652," ","integrate((1-2*x)^(5/2)*(3+5*x)^2/(2+3*x)^6,x, algorithm=""giac"")","-\frac{8051}{666792} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{7323345 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 54106290 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 151487616 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 193304510 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 96652255 \, \sqrt{-2 \, x + 1}}{2540160 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"-8051/666792*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/2540160*(7323345*(2*x - 1)^4*sqrt(-2*x + 1) + 54106290*(2*x - 1)^3*sqrt(-2*x + 1) + 151487616*(2*x - 1)^2*sqrt(-2*x + 1) - 193304510*(-2*x + 1)^(3/2) + 96652255*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
1953,1,132,0,1.194318," ","integrate((1-2*x)^(5/2)*(3+5*x)^2/(2+3*x)^7,x, algorithm=""giac"")","-\frac{1315}{3111696} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{319545 \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - 2360505 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - 22080870 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - 53584146 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 53674355 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 22101205 \, \sqrt{-2 \, x + 1}}{4741632 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"-1315/3111696*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/4741632*(319545*(2*x - 1)^5*sqrt(-2*x + 1) - 2360505*(2*x - 1)^4*sqrt(-2*x + 1) - 22080870*(2*x - 1)^3*sqrt(-2*x + 1) - 53584146*(2*x - 1)^2*sqrt(-2*x + 1) + 53674355*(-2*x + 1)^(3/2) - 22101205*sqrt(-2*x + 1))/(3*x + 2)^6","A",0
1954,1,148,0,1.154190," ","integrate((1-2*x)^(5/2)*(3+5*x)^2/(2+3*x)^8,x, algorithm=""giac"")","-\frac{2335}{65345616} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1702215 \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + 26478900 \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + 8891883 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - 386781696 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - 951955683 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 784886900 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 274710415 \, \sqrt{-2 \, x + 1}}{199148544 \, {\left(3 \, x + 2\right)}^{7}}"," ",0,"-2335/65345616*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/199148544*(1702215*(2*x - 1)^6*sqrt(-2*x + 1) + 26478900*(2*x - 1)^5*sqrt(-2*x + 1) + 8891883*(2*x - 1)^4*sqrt(-2*x + 1) - 386781696*(2*x - 1)^3*sqrt(-2*x + 1) - 951955683*(2*x - 1)^2*sqrt(-2*x + 1) + 784886900*(-2*x + 1)^(3/2) - 274710415*sqrt(-2*x + 1))/(3*x + 2)^7","A",0
1955,1,129,0,0.864988," ","integrate((1-2*x)^(5/2)*(2+3*x)^4*(3+5*x)^3,x, algorithm=""giac"")","\frac{3375}{896} \, {\left(2 \, x - 1\right)}^{10} \sqrt{-2 \, x + 1} + \frac{161325}{2432} \, {\left(2 \, x - 1\right)}^{9} \sqrt{-2 \, x + 1} + \frac{1101465}{2176} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} + \frac{1392467}{640} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{9504551}{1664} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{1179381}{128} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{3278737}{384} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{456533}{128} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"3375/896*(2*x - 1)^10*sqrt(-2*x + 1) + 161325/2432*(2*x - 1)^9*sqrt(-2*x + 1) + 1101465/2176*(2*x - 1)^8*sqrt(-2*x + 1) + 1392467/640*(2*x - 1)^7*sqrt(-2*x + 1) + 9504551/1664*(2*x - 1)^6*sqrt(-2*x + 1) + 1179381/128*(2*x - 1)^5*sqrt(-2*x + 1) + 3278737/384*(2*x - 1)^4*sqrt(-2*x + 1) + 456533/128*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1956,1,113,0,1.042844," ","integrate((1-2*x)^(5/2)*(2+3*x)^3*(3+5*x)^3,x, algorithm=""giac"")","\frac{3375}{1216} \, {\left(2 \, x - 1\right)}^{9} \sqrt{-2 \, x + 1} + \frac{675}{16} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} + \frac{17337}{64} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{98209}{104} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{121359}{64} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{100793}{48} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{65219}{64} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"3375/1216*(2*x - 1)^9*sqrt(-2*x + 1) + 675/16*(2*x - 1)^8*sqrt(-2*x + 1) + 17337/64*(2*x - 1)^7*sqrt(-2*x + 1) + 98209/104*(2*x - 1)^6*sqrt(-2*x + 1) + 121359/64*(2*x - 1)^5*sqrt(-2*x + 1) + 100793/48*(2*x - 1)^4*sqrt(-2*x + 1) + 65219/64*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1957,1,97,0,1.059333," ","integrate((1-2*x)^(5/2)*(2+3*x)^2*(3+5*x)^3,x, algorithm=""giac"")","\frac{1125}{544} \, {\left(2 \, x - 1\right)}^{8} \sqrt{-2 \, x + 1} + \frac{845}{32} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{28555}{208} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{5847}{16} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{16093}{32} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{9317}{32} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"1125/544*(2*x - 1)^8*sqrt(-2*x + 1) + 845/32*(2*x - 1)^7*sqrt(-2*x + 1) + 28555/208*(2*x - 1)^6*sqrt(-2*x + 1) + 5847/16*(2*x - 1)^5*sqrt(-2*x + 1) + 16093/32*(2*x - 1)^4*sqrt(-2*x + 1) + 9317/32*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1958,1,81,0,1.043886," ","integrate((1-2*x)^(5/2)*(2+3*x)*(3+5*x)^3,x, algorithm=""giac"")","\frac{25}{16} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{1675}{104} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{255}{4} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{2783}{24} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{1331}{16} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"25/16*(2*x - 1)^7*sqrt(-2*x + 1) + 1675/104*(2*x - 1)^6*sqrt(-2*x + 1) + 255/4*(2*x - 1)^5*sqrt(-2*x + 1) + 2783/24*(2*x - 1)^4*sqrt(-2*x + 1) + 1331/16*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1959,1,65,0,0.850649," ","integrate((1-2*x)^(5/2)*(3+5*x)^3,x, algorithm=""giac"")","\frac{125}{104} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{75}{8} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{605}{24} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{1331}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1}"," ",0,"125/104*(2*x - 1)^6*sqrt(-2*x + 1) + 75/8*(2*x - 1)^5*sqrt(-2*x + 1) + 605/24*(2*x - 1)^4*sqrt(-2*x + 1) + 1331/56*(2*x - 1)^3*sqrt(-2*x + 1)","A",0
1960,1,122,0,0.965039," ","integrate((1-2*x)^(5/2)*(3+5*x)^3/(2+3*x),x, algorithm=""giac"")","\frac{125}{132} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{400}{81} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{5135}{756} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{2}{405} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{14}{729} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{49}{2187} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{98}{729} \, \sqrt{-2 \, x + 1}"," ",0,"125/132*(2*x - 1)^5*sqrt(-2*x + 1) + 400/81*(2*x - 1)^4*sqrt(-2*x + 1) + 5135/756*(2*x - 1)^3*sqrt(-2*x + 1) - 2/405*(2*x - 1)^2*sqrt(-2*x + 1) - 14/729*(-2*x + 1)^(3/2) - 49/2187*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 98/729*sqrt(-2*x + 1)","A",0
1961,1,122,0,1.123607," ","integrate((1-2*x)^(5/2)*(3+5*x)^3/(2+3*x)^2,x, algorithm=""giac"")","\frac{125}{162} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{725}{378} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{2}{27} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{214}{729} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{770}{2187} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1526}{729} \, \sqrt{-2 \, x + 1} + \frac{49 \, \sqrt{-2 \, x + 1}}{729 \, {\left(3 \, x + 2\right)}}"," ",0,"125/162*(2*x - 1)^4*sqrt(-2*x + 1) + 725/378*(2*x - 1)^3*sqrt(-2*x + 1) + 2/27*(2*x - 1)^2*sqrt(-2*x + 1) + 214/729*(-2*x + 1)^(3/2) + 770/2187*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1526/729*sqrt(-2*x + 1) + 49/729*sqrt(-2*x + 1)/(3*x + 2)","A",0
1962,1,118,0,1.097537," ","integrate((1-2*x)^(5/2)*(3+5*x)^3/(2+3*x)^3,x, algorithm=""giac"")","\frac{125}{189} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{10}{27} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{370}{243} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{935}{486} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{8198}{729} \, \sqrt{-2 \, x + 1} + \frac{7 \, {\left(657 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1519 \, \sqrt{-2 \, x + 1}\right)}}{2916 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"125/189*(2*x - 1)^3*sqrt(-2*x + 1) - 10/27*(2*x - 1)^2*sqrt(-2*x + 1) - 370/243*(-2*x + 1)^(3/2) - 935/486*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 8198/729*sqrt(-2*x + 1) + 7/2916*(657*(-2*x + 1)^(3/2) - 1519*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1963,1,118,0,0.934811," ","integrate((1-2*x)^(5/2)*(3+5*x)^3/(2+3*x)^4,x, algorithm=""giac"")","\frac{50}{81} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{2050}{729} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{20680}{5103} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{16570}{729} \, \sqrt{-2 \, x + 1} + \frac{37377 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 172130 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 198205 \, \sqrt{-2 \, x + 1}}{2916 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"50/81*(2*x - 1)^2*sqrt(-2*x + 1) + 2050/729*(-2*x + 1)^(3/2) + 20680/5103*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 16570/729*sqrt(-2*x + 1) + 1/2916*(37377*(2*x - 1)^2*sqrt(-2*x + 1) - 172130*(-2*x + 1)^(3/2) + 198205*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1964,1,118,0,0.931381," ","integrate((1-2*x)^(5/2)*(3+5*x)^3/(2+3*x)^5,x, algorithm=""giac"")","-\frac{500}{729} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{645865}{285768} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{7600}{729} \, \sqrt{-2 \, x + 1} - \frac{12957975 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 88621827 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 202092905 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 153662285 \, \sqrt{-2 \, x + 1}}{326592 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"-500/729*(-2*x + 1)^(3/2) - 645865/285768*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 7600/729*sqrt(-2*x + 1) - 1/326592*(12957975*(2*x - 1)^3*sqrt(-2*x + 1) + 88621827*(2*x - 1)^2*sqrt(-2*x + 1) - 202092905*(-2*x + 1)^(3/2) + 153662285*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1965,1,125,0,0.984430," ","integrate((1-2*x)^(5/2)*(3+5*x)^3/(2+3*x)^6,x, algorithm=""giac"")","\frac{146971}{333396} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1000}{729} \, \sqrt{-2 \, x + 1} + \frac{345408705 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 2999598210 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 9762357024 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 14111613390 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 7644051695 \, \sqrt{-2 \, x + 1}}{11430720 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"146971/333396*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1000/729*sqrt(-2*x + 1) + 1/11430720*(345408705*(2*x - 1)^4*sqrt(-2*x + 1) + 2999598210*(2*x - 1)^3*sqrt(-2*x + 1) + 9762357024*(2*x - 1)^2*sqrt(-2*x + 1) - 14111613390*(-2*x + 1)^(3/2) + 7644051695*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
1966,1,132,0,0.979792," ","integrate((1-2*x)^(5/2)*(3+5*x)^3/(2+3*x)^7,x, algorithm=""giac"")","-\frac{559625}{28005264} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{308539125 \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + 2983070475 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 11598653682 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 22803823350 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 22842213625 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 9405617375 \, \sqrt{-2 \, x + 1}}{42674688 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"-559625/28005264*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/42674688*(308539125*(2*x - 1)^5*sqrt(-2*x + 1) + 2983070475*(2*x - 1)^4*sqrt(-2*x + 1) + 11598653682*(2*x - 1)^3*sqrt(-2*x + 1) + 22803823350*(2*x - 1)^2*sqrt(-2*x + 1) - 22842213625*(-2*x + 1)^(3/2) + 9405617375*sqrt(-2*x + 1))/(3*x + 2)^6","A",0
1967,1,148,0,0.972673," ","integrate((1-2*x)^(5/2)*(3+5*x)^3/(2+3*x)^8,x, algorithm=""giac"")","-\frac{33935}{49009212} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{24738615 \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - 133793100 \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - 2174834277 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - 8180415936 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - 13834953363 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + 11406910900 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 3992418815 \, \sqrt{-2 \, x + 1}}{149361408 \, {\left(3 \, x + 2\right)}^{7}}"," ",0,"-33935/49009212*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/149361408*(24738615*(2*x - 1)^6*sqrt(-2*x + 1) - 133793100*(2*x - 1)^5*sqrt(-2*x + 1) - 2174834277*(2*x - 1)^4*sqrt(-2*x + 1) - 8180415936*(2*x - 1)^3*sqrt(-2*x + 1) - 13834953363*(2*x - 1)^2*sqrt(-2*x + 1) + 11406910900*(-2*x + 1)^(3/2) - 3992418815*sqrt(-2*x + 1))/(3*x + 2)^7","A",0
1968,1,138,0,1.039827," ","integrate((1-2*x)^(5/2)*(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","\frac{81}{520} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{2889}{2200} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{3819}{1000} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{136419}{35000} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{2}{15625} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{22}{46875} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{121}{390625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{242}{78125} \, \sqrt{-2 \, x + 1}"," ",0,"81/520*(2*x - 1)^6*sqrt(-2*x + 1) + 2889/2200*(2*x - 1)^5*sqrt(-2*x + 1) + 3819/1000*(2*x - 1)^4*sqrt(-2*x + 1) + 136419/35000*(2*x - 1)^3*sqrt(-2*x + 1) + 2/15625*(2*x - 1)^2*sqrt(-2*x + 1) + 22/46875*(-2*x + 1)^(3/2) + 121/390625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 242/78125*sqrt(-2*x + 1)","A",0
1969,1,122,0,1.005241," ","integrate((1-2*x)^(5/2)*(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","\frac{27}{220} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{18}{25} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{3897}{3500} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{2}{3125} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{22}{9375} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{121}{78125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{242}{15625} \, \sqrt{-2 \, x + 1}"," ",0,"27/220*(2*x - 1)^5*sqrt(-2*x + 1) + 18/25*(2*x - 1)^4*sqrt(-2*x + 1) + 3897/3500*(2*x - 1)^3*sqrt(-2*x + 1) + 2/3125*(2*x - 1)^2*sqrt(-2*x + 1) + 22/9375*(-2*x + 1)^(3/2) + 121/78125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 242/15625*sqrt(-2*x + 1)","A",0
1970,1,106,0,1.038808," ","integrate((1-2*x)^(5/2)*(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{1}{10} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{111}{350} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{2}{625} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{22}{1875} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{121}{15625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{242}{3125} \, \sqrt{-2 \, x + 1}"," ",0,"1/10*(2*x - 1)^4*sqrt(-2*x + 1) + 111/350*(2*x - 1)^3*sqrt(-2*x + 1) + 2/625*(2*x - 1)^2*sqrt(-2*x + 1) + 22/1875*(-2*x + 1)^(3/2) + 121/15625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 242/3125*sqrt(-2*x + 1)","A",0
1971,1,90,0,1.005015," ","integrate((1-2*x)^(5/2)*(2+3*x)/(3+5*x),x, algorithm=""giac"")","\frac{3}{35} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{2}{125} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{22}{375} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{121}{3125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{242}{625} \, \sqrt{-2 \, x + 1}"," ",0,"3/35*(2*x - 1)^3*sqrt(-2*x + 1) + 2/125*(2*x - 1)^2*sqrt(-2*x + 1) + 22/375*(-2*x + 1)^(3/2) + 121/3125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 242/625*sqrt(-2*x + 1)","A",0
1972,1,74,0,0.969475," ","integrate((1-2*x)^(5/2)/(3+5*x),x, algorithm=""giac"")","\frac{2}{25} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{22}{75} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{121}{625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{242}{125} \, \sqrt{-2 \, x + 1}"," ",0,"2/25*(2*x - 1)^2*sqrt(-2*x + 1) + 22/75*(-2*x + 1)^(3/2) + 121/625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 242/125*sqrt(-2*x + 1)","A",0
1973,1,97,0,0.892561," ","integrate((1-2*x)^(5/2)/(2+3*x)/(3+5*x),x, algorithm=""giac"")","-\frac{4}{45} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{121}{125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{49}{27} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{272}{225} \, \sqrt{-2 \, x + 1}"," ",0,"-4/45*(-2*x + 1)^(3/2) + 121/125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 49/27*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 272/225*sqrt(-2*x + 1)","A",0
1974,1,104,0,0.964657," ","integrate((1-2*x)^(5/2)/(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{121}{25} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{70}{9} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{8}{45} \, \sqrt{-2 \, x + 1} + \frac{49 \, \sqrt{-2 \, x + 1}}{9 \, {\left(3 \, x + 2\right)}}"," ",0,"121/25*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 70/9*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 8/45*sqrt(-2*x + 1) + 49/9*sqrt(-2*x + 1)/(3*x + 2)","A",0
1975,1,107,0,1.116976," ","integrate((1-2*x)^(5/2)/(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","\frac{121}{5} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{235}{6} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{7 \, {\left(61 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 147 \, \sqrt{-2 \, x + 1}\right)}}{12 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"121/5*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 235/6*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 7/12*(61*(-2*x + 1)^(3/2) - 147*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1976,1,123,0,1.049711," ","integrate((1-2*x)^(5/2)/(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","121 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{37010}{189} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{9657 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 45710 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 54145 \, \sqrt{-2 \, x + 1}}{36 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"121*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 37010/189*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/36*(9657*(2*x - 1)^2*sqrt(-2*x + 1) - 45710*(-2*x + 1)^(3/2) + 54145*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1977,1,139,0,1.014790," ","integrate((1-2*x)^(5/2)/(2+3*x)^5/(3+5*x),x, algorithm=""giac"")","605 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{3454265}{3528} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2703915 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 19108551 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 45025365 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 35375305 \, \sqrt{-2 \, x + 1}}{1344 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"605*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 3454265/3528*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/1344*(2703915*(2*x - 1)^3*sqrt(-2*x + 1) + 19108551*(2*x - 1)^2*sqrt(-2*x + 1) - 45025365*(-2*x + 1)^(3/2) + 35375305*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1978,1,155,0,1.092387," ","integrate((1-2*x)^(5/2)/(2+3*x)^6/(3+5*x),x, algorithm=""giac"")","3025 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{20149879}{4116} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{709777485 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 6672140370 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 23523155208 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 36864065630 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 21667380315 \, \sqrt{-2 \, x + 1}}{47040 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"3025*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 20149879/4116*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/47040*(709777485*(2*x - 1)^4*sqrt(-2*x + 1) + 6672140370*(2*x - 1)^3*sqrt(-2*x + 1) + 23523155208*(2*x - 1)^2*sqrt(-2*x + 1) - 36864065630*(-2*x + 1)^(3/2) + 21667380315*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
1979,1,171,0,0.937409," ","integrate((1-2*x)^(5/2)/(2+3*x)^7/(3+5*x),x, algorithm=""giac"")","15125 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{25388847535}{1037232} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{178863925005 \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + 2098728518355 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 9851053562658 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 23121360004806 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 27136250633905 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 12740419709255 \, \sqrt{-2 \, x + 1}}{1580544 \, {\left(3 \, x + 2\right)}^{6}}"," ",0,"15125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 25388847535/1037232*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/1580544*(178863925005*(2*x - 1)^5*sqrt(-2*x + 1) + 2098728518355*(2*x - 1)^4*sqrt(-2*x + 1) + 9851053562658*(2*x - 1)^3*sqrt(-2*x + 1) + 23121360004806*(2*x - 1)^2*sqrt(-2*x + 1) - 27136250633905*(-2*x + 1)^(3/2) + 12740419709255*sqrt(-2*x + 1))/(3*x + 2)^6","A",0
1980,1,138,0,0.984203," ","integrate((1-2*x)^(5/2)*(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","\frac{81}{1100} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{111}{250} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{12393}{17500} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{24}{15625} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{52}{9375} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1397}{390625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2816}{78125} \, \sqrt{-2 \, x + 1} - \frac{121 \, \sqrt{-2 \, x + 1}}{78125 \, {\left(5 \, x + 3\right)}}"," ",0,"81/1100*(2*x - 1)^5*sqrt(-2*x + 1) + 111/250*(2*x - 1)^4*sqrt(-2*x + 1) + 12393/17500*(2*x - 1)^3*sqrt(-2*x + 1) + 24/15625*(2*x - 1)^2*sqrt(-2*x + 1) + 52/9375*(-2*x + 1)^(3/2) + 1397/390625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 2816/78125*sqrt(-2*x + 1) - 121/78125*sqrt(-2*x + 1)/(5*x + 3)","A",0
1981,1,122,0,0.892873," ","integrate((1-2*x)^(5/2)*(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","\frac{3}{50} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{351}{1750} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{18}{3125} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{194}{9375} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1034}{78125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{418}{3125} \, \sqrt{-2 \, x + 1} - \frac{121 \, \sqrt{-2 \, x + 1}}{15625 \, {\left(5 \, x + 3\right)}}"," ",0,"3/50*(2*x - 1)^4*sqrt(-2*x + 1) + 351/1750*(2*x - 1)^3*sqrt(-2*x + 1) + 18/3125*(2*x - 1)^2*sqrt(-2*x + 1) + 194/9375*(-2*x + 1)^(3/2) + 1034/78125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 418/3125*sqrt(-2*x + 1) - 121/15625*sqrt(-2*x + 1)/(5*x + 3)","A",0
1982,1,106,0,1.121595," ","integrate((1-2*x)^(5/2)*(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","\frac{9}{175} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{12}{625} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{128}{1875} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{671}{15625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1364}{3125} \, \sqrt{-2 \, x + 1} - \frac{121 \, \sqrt{-2 \, x + 1}}{3125 \, {\left(5 \, x + 3\right)}}"," ",0,"9/175*(2*x - 1)^3*sqrt(-2*x + 1) + 12/625*(2*x - 1)^2*sqrt(-2*x + 1) + 128/1875*(-2*x + 1)^(3/2) + 671/15625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 1364/3125*sqrt(-2*x + 1) - 121/3125*sqrt(-2*x + 1)/(5*x + 3)","A",0
1983,1,90,0,0.936020," ","integrate((1-2*x)^(5/2)*(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","\frac{6}{125} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{62}{375} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{308}{3125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{638}{625} \, \sqrt{-2 \, x + 1} - \frac{121 \, \sqrt{-2 \, x + 1}}{625 \, {\left(5 \, x + 3\right)}}"," ",0,"6/125*(2*x - 1)^2*sqrt(-2*x + 1) + 62/375*(-2*x + 1)^(3/2) + 308/3125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 638/625*sqrt(-2*x + 1) - 121/625*sqrt(-2*x + 1)/(5*x + 3)","A",0
1984,1,74,0,0.880850," ","integrate((1-2*x)^(5/2)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{4}{75} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{11}{125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{88}{125} \, \sqrt{-2 \, x + 1} - \frac{121 \, \sqrt{-2 \, x + 1}}{125 \, {\left(5 \, x + 3\right)}}"," ",0,"-4/75*(-2*x + 1)^(3/2) - 11/125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 88/125*sqrt(-2*x + 1) - 121/125*sqrt(-2*x + 1)/(5*x + 3)","A",0
1985,1,104,0,1.202217," ","integrate((1-2*x)^(5/2)/(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{418}{125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{49}{9} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{8}{75} \, \sqrt{-2 \, x + 1} - \frac{121 \, \sqrt{-2 \, x + 1}}{25 \, {\left(5 \, x + 3\right)}}"," ",0,"-418/125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 49/9*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 8/75*sqrt(-2*x + 1) - 121/25*sqrt(-2*x + 1)/(5*x + 3)","A",0
1986,1,116,0,1.000210," ","integrate((1-2*x)^(5/2)/(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{781}{25} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{455}{9} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(1157 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2618 \, \sqrt{-2 \, x + 1}\right)}}{15 \, {\left(15 \, {\left(2 \, x - 1\right)}^{2} + 136 \, x + 9\right)}}"," ",0,"-781/25*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 455/9*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 4/15*(1157*(-2*x + 1)^(3/2) - 2618*sqrt(-2*x + 1))/(15*(2*x - 1)^2 + 136*x + 9)","A",0
1987,1,123,0,1.092015," ","integrate((1-2*x)^(5/2)/(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1144}{5} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{6665}{18} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{121 \, \sqrt{-2 \, x + 1}}{5 \, x + 3} + \frac{7 \, {\left(393 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 931 \, \sqrt{-2 \, x + 1}\right)}}{12 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-1144/5*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 6665/18*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 121*sqrt(-2*x + 1)/(5*x + 3) + 7/12*(393*(-2*x + 1)^(3/2) - 931*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
1988,1,139,0,1.020942," ","integrate((1-2*x)^(5/2)/(2+3*x)^4/(3+5*x)^2,x, algorithm=""giac"")","-1507 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{307295}{126} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{605 \, \sqrt{-2 \, x + 1}}{5 \, x + 3} - \frac{60579 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 285460 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 336385 \, \sqrt{-2 \, x + 1}}{24 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"-1507*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 307295/126*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 605*sqrt(-2*x + 1)/(5*x + 3) - 1/24*(60579*(2*x - 1)^2*sqrt(-2*x + 1) - 285460*(-2*x + 1)^(3/2) + 336385*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
1989,1,155,0,1.076372," ","integrate((1-2*x)^(5/2)/(2+3*x)^5/(3+5*x)^2,x, algorithm=""giac"")","-9350 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{53384095}{3528} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{3025 \, \sqrt{-2 \, x + 1}}{5 \, x + 3} - \frac{33554925 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 236586273 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 556108595 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 435783215 \, \sqrt{-2 \, x + 1}}{1344 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"-9350*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 53384095/3528*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 3025*sqrt(-2*x + 1)/(5*x + 3) - 1/1344*(33554925*(2*x - 1)^3*sqrt(-2*x + 1) + 236586273*(2*x - 1)^2*sqrt(-2*x + 1) - 556108595*(-2*x + 1)^(3/2) + 435783215*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
1990,1,171,0,0.962830," ","integrate((1-2*x)^(5/2)/(2+3*x)^6/(3+5*x)^2,x, algorithm=""giac"")","-55825 \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2231141147}{24696} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{15125 \, \sqrt{-2 \, x + 1}}{5 \, x + 3} - \frac{21875000535 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 205345418670 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 722914128048 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 1131203610530 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 663838720265 \, \sqrt{-2 \, x + 1}}{94080 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"-55825*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 2231141147/24696*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 15125*sqrt(-2*x + 1)/(5*x + 3) - 1/94080*(21875000535*(2*x - 1)^4*sqrt(-2*x + 1) + 205345418670*(2*x - 1)^3*sqrt(-2*x + 1) + 722914128048*(2*x - 1)^2*sqrt(-2*x + 1) - 1131203610530*(-2*x + 1)^(3/2) + 663838720265*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
1991,1,134,0,1.158357," ","integrate((1-2*x)^(5/2)*(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","\frac{9}{250} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{1107}{8750} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{108}{15625} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{76}{3125} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{11763}{781250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2404}{15625} \, \sqrt{-2 \, x + 1} + \frac{11 \, {\left(1275 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2827 \, \sqrt{-2 \, x + 1}\right)}}{312500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"9/250*(2*x - 1)^4*sqrt(-2*x + 1) + 1107/8750*(2*x - 1)^3*sqrt(-2*x + 1) + 108/15625*(2*x - 1)^2*sqrt(-2*x + 1) + 76/3125*(-2*x + 1)^(3/2) + 11763/781250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 2404/15625*sqrt(-2*x + 1) + 11/312500*(1275*(-2*x + 1)^(3/2) - 2827*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1992,1,118,0,1.100090," ","integrate((1-2*x)^(5/2)*(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{27}{875} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{54}{3125} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{186}{3125} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{5559}{156250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{46}{125} \, \sqrt{-2 \, x + 1} + \frac{11 \, {\left(945 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2101 \, \sqrt{-2 \, x + 1}\right)}}{62500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"27/875*(2*x - 1)^3*sqrt(-2*x + 1) + 54/3125*(2*x - 1)^2*sqrt(-2*x + 1) + 186/3125*(-2*x + 1)^(3/2) + 5559/156250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 46/125*sqrt(-2*x + 1) + 11/62500*(945*(-2*x + 1)^(3/2) - 2101*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1993,1,102,0,0.923509," ","integrate((1-2*x)^(5/2)*(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{18}{625} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{58}{625} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1533}{31250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1658}{3125} \, \sqrt{-2 \, x + 1} + \frac{11 \, {\left(123 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 275 \, \sqrt{-2 \, x + 1}\right)}}{2500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"18/625*(2*x - 1)^2*sqrt(-2*x + 1) + 58/625*(-2*x + 1)^(3/2) + 1533/31250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 1658/3125*sqrt(-2*x + 1) + 11/2500*(123*(-2*x + 1)^(3/2) - 275*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1994,1,86,0,1.081951," ","integrate((1-2*x)^(5/2)*(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{4}{125} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{63}{1250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{256}{625} \, \sqrt{-2 \, x + 1} + \frac{11 \, {\left(285 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 649 \, \sqrt{-2 \, x + 1}\right)}}{2500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"-4/125*(-2*x + 1)^(3/2) - 63/1250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 256/625*sqrt(-2*x + 1) + 11/2500*(285*(-2*x + 1)^(3/2) - 649*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1995,1,77,0,1.251589," ","integrate((1-2*x)^(5/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{3}{250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{8}{125} \, \sqrt{-2 \, x + 1} - \frac{11 \, {\left(45 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 77 \, \sqrt{-2 \, x + 1}\right)}}{500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"3/250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 8/125*sqrt(-2*x + 1) - 11/500*(45*(-2*x + 1)^(3/2) - 77*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1996,1,107,0,0.950451," ","integrate((1-2*x)^(5/2)/(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{2523}{250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{49}{3} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{11 \, {\left(375 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 803 \, \sqrt{-2 \, x + 1}\right)}}{100 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"2523/250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 49/3*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 11/100*(375*(-2*x + 1)^(3/2) - 803*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1997,1,123,0,1.020780," ","integrate((1-2*x)^(5/2)/(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{7209}{50} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{700}{3} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{49 \, \sqrt{-2 \, x + 1}}{3 \, x + 2} - \frac{11 \, {\left(705 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1529 \, \sqrt{-2 \, x + 1}\right)}}{20 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"7209/50*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 700/3*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 49*sqrt(-2*x + 1)/(3*x + 2) - 11/20*(705*(-2*x + 1)^(3/2) - 1529*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
1998,1,148,0,1.013011," ","integrate((1-2*x)^(5/2)/(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{14073}{10} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{4555}{2} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2 \, {\left(103995 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 707200 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 1602293 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 1209516 \, \sqrt{-2 \, x + 1}\right)}}{{\left(15 \, {\left(2 \, x - 1\right)}^{2} + 136 \, x + 9\right)}^{2}}"," ",0,"14073/10*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 4555/2*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 2*(103995*(2*x - 1)^3*sqrt(-2*x + 1) + 707200*(2*x - 1)^2*sqrt(-2*x + 1) - 1602293*(-2*x + 1)^(3/2) + 1209516*sqrt(-2*x + 1))/(15*(2*x - 1)^2 + 136*x + 9)^2","A",0
1999,1,151,0,1.165517," ","integrate((1-2*x)^(5/2)/(2+3*x)^4/(3+5*x)^3,x, algorithm=""giac"")","\frac{23115}{2} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{392785}{21} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{55 \, {\left(1365 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2981 \, \sqrt{-2 \, x + 1}\right)}}{4 \, {\left(5 \, x + 3\right)}^{2}} + \frac{61947 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 291200 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 342265 \, \sqrt{-2 \, x + 1}}{4 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"23115/2*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 392785/21*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 55/4*(1365*(-2*x + 1)^(3/2) - 2981*sqrt(-2*x + 1))/(5*x + 3)^2 + 1/4*(61947*(2*x - 1)^2*sqrt(-2*x + 1) - 291200*(-2*x + 1)^(3/2) + 342265*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
2000,1,167,0,1.016099," ","integrate((1-2*x)^(5/2)/(2+3*x)^5/(3+5*x)^3,x, algorithm=""giac"")","\frac{171675}{2} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{163363895}{1176} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{275 \, {\left(1695 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 3707 \, \sqrt{-2 \, x + 1}\right)}}{4 \, {\left(5 \, x + 3\right)}^{2}} + \frac{85590405 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 602610393 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 1414363195 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 1106622615 \, \sqrt{-2 \, x + 1}}{448 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"171675/2*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 163363895/1176*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 275/4*(1695*(-2*x + 1)^(3/2) - 3707*sqrt(-2*x + 1))/(5*x + 3)^2 + 1/448*(85590405*(2*x - 1)^3*sqrt(-2*x + 1) + 602610393*(2*x - 1)^2*sqrt(-2*x + 1) - 1414363195*(-2*x + 1)^(3/2) + 1106622615*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
2001,1,99,0,1.027096," ","integrate((2+3*x)^5*(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1215}{832} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{1053}{44} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{10815}{64} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{5355}{8} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{103929}{64} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{60025}{24} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{184877}{64} \, \sqrt{-2 \, x + 1}"," ",0,"-1215/832*(2*x - 1)^6*sqrt(-2*x + 1) - 1053/44*(2*x - 1)^5*sqrt(-2*x + 1) - 10815/64*(2*x - 1)^4*sqrt(-2*x + 1) - 5355/8*(2*x - 1)^3*sqrt(-2*x + 1) - 103929/64*(2*x - 1)^2*sqrt(-2*x + 1) + 60025/24*(-2*x + 1)^(3/2) - 184877/64*sqrt(-2*x + 1)","A",0
2002,1,83,0,0.978584," ","integrate((2+3*x)^4*(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{405}{352} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{519}{32} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{1539}{16} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{24843}{80} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{57281}{96} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{26411}{32} \, \sqrt{-2 \, x + 1}"," ",0,"-405/352*(2*x - 1)^5*sqrt(-2*x + 1) - 519/32*(2*x - 1)^4*sqrt(-2*x + 1) - 1539/16*(2*x - 1)^3*sqrt(-2*x + 1) - 24843/80*(2*x - 1)^2*sqrt(-2*x + 1) + 57281/96*(-2*x + 1)^(3/2) - 26411/32*sqrt(-2*x + 1)","A",0
2003,1,67,0,1.092483," ","integrate((2+3*x)^3*(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{15}{16} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{621}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{1071}{20} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{3283}{24} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{3773}{16} \, \sqrt{-2 \, x + 1}"," ",0,"-15/16*(2*x - 1)^4*sqrt(-2*x + 1) - 621/56*(2*x - 1)^3*sqrt(-2*x + 1) - 1071/20*(2*x - 1)^2*sqrt(-2*x + 1) + 3283/24*(-2*x + 1)^(3/2) - 3773/16*sqrt(-2*x + 1)","A",0
2004,1,51,0,0.937764," ","integrate((2+3*x)^2*(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{45}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{309}{40} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{707}{24} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{539}{8} \, \sqrt{-2 \, x + 1}"," ",0,"-45/56*(2*x - 1)^3*sqrt(-2*x + 1) - 309/40*(2*x - 1)^2*sqrt(-2*x + 1) + 707/24*(-2*x + 1)^(3/2) - 539/8*sqrt(-2*x + 1)","A",0
2005,1,35,0,0.878453," ","integrate((2+3*x)*(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{3}{4} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{17}{3} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{77}{4} \, \sqrt{-2 \, x + 1}"," ",0,"-3/4*(2*x - 1)^2*sqrt(-2*x + 1) + 17/3*(-2*x + 1)^(3/2) - 77/4*sqrt(-2*x + 1)","A",0
2006,1,19,0,1.033046," ","integrate((3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{5}{6} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{11}{2} \, \sqrt{-2 \, x + 1}"," ",0,"5/6*(-2*x + 1)^(3/2) - 11/2*sqrt(-2*x + 1)","A",0
2007,1,49,0,1.161363," ","integrate((3+5*x)/(2+3*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{63} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{5}{3} \, \sqrt{-2 \, x + 1}"," ",0,"-1/63*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 5/3*sqrt(-2*x + 1)","A",0
2008,1,56,0,0.923533," ","integrate((3+5*x)/(2+3*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{34}{441} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{\sqrt{-2 \, x + 1}}{21 \, {\left(3 \, x + 2\right)}}"," ",0,"34/441*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/21*sqrt(-2*x + 1)/(3*x + 2)","A",0
2009,1,68,0,0.908363," ","integrate((3+5*x)/(2+3*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{67}{6174} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{201 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 455 \, \sqrt{-2 \, x + 1}}{588 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"67/6174*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/588*(201*(-2*x + 1)^(3/2) - 455*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2010,1,84,0,0.984168," ","integrate((3+5*x)/(2+3*x)^4/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{50}{21609} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{225 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 1400 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 2009 \, \sqrt{-2 \, x + 1}}{2058 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"50/21609*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/2058*(225*(2*x - 1)^2*sqrt(-2*x + 1) - 1400*(-2*x + 1)^(3/2) + 2009*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
2011,1,100,0,1.007975," ","integrate((3+5*x)/(2+3*x)^5/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{95}{172872} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2565 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 21945 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 67963 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 70903 \, \sqrt{-2 \, x + 1}}{65856 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"95/172872*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/65856*(2565*(2*x - 1)^3*sqrt(-2*x + 1) + 21945*(2*x - 1)^2*sqrt(-2*x + 1) - 67963*(-2*x + 1)^(3/2) + 70903*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
2012,1,115,0,0.957580," ","integrate((2+3*x)^5*(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{405}{128} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} - \frac{97605}{1664} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{672003}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{285565}{128} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{842415}{128} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{1623419}{128} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{6206585}{384} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{2033647}{128} \, \sqrt{-2 \, x + 1}"," ",0,"-405/128*(2*x - 1)^7*sqrt(-2*x + 1) - 97605/1664*(2*x - 1)^6*sqrt(-2*x + 1) - 672003/1408*(2*x - 1)^5*sqrt(-2*x + 1) - 285565/128*(2*x - 1)^4*sqrt(-2*x + 1) - 842415/128*(2*x - 1)^3*sqrt(-2*x + 1) - 1623419/128*(2*x - 1)^2*sqrt(-2*x + 1) + 6206585/384*(-2*x + 1)^(3/2) - 2033647/128*sqrt(-2*x + 1)","A",0
2013,1,99,0,0.933892," ","integrate((2+3*x)^4*(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{2025}{832} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{13905}{352} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{17679}{64} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{17337}{16} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{832951}{320} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{381073}{96} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{290521}{64} \, \sqrt{-2 \, x + 1}"," ",0,"-2025/832*(2*x - 1)^6*sqrt(-2*x + 1) - 13905/352*(2*x - 1)^5*sqrt(-2*x + 1) - 17679/64*(2*x - 1)^4*sqrt(-2*x + 1) - 17337/16*(2*x - 1)^3*sqrt(-2*x + 1) - 832951/320*(2*x - 1)^2*sqrt(-2*x + 1) + 381073/96*(-2*x + 1)^(3/2) - 290521/64*sqrt(-2*x + 1)","A",0
2014,1,83,0,0.919502," ","integrate((2+3*x)^3*(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{675}{352} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{855}{32} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{17541}{112} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{39977}{80} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{91091}{96} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{41503}{32} \, \sqrt{-2 \, x + 1}"," ",0,"-675/352*(2*x - 1)^5*sqrt(-2*x + 1) - 855/32*(2*x - 1)^4*sqrt(-2*x + 1) - 17541/112*(2*x - 1)^3*sqrt(-2*x + 1) - 39977/80*(2*x - 1)^2*sqrt(-2*x + 1) + 91091/96*(-2*x + 1)^(3/2) - 41503/32*sqrt(-2*x + 1)","A",0
2015,1,67,0,0.957255," ","integrate((2+3*x)^2*(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{25}{16} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{255}{14} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{3467}{40} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{1309}{6} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{5929}{16} \, \sqrt{-2 \, x + 1}"," ",0,"-25/16*(2*x - 1)^4*sqrt(-2*x + 1) - 255/14*(2*x - 1)^3*sqrt(-2*x + 1) - 3467/40*(2*x - 1)^2*sqrt(-2*x + 1) + 1309/6*(-2*x + 1)^(3/2) - 5929/16*sqrt(-2*x + 1)","A",0
2016,1,51,0,1.079098," ","integrate((2+3*x)*(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{75}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{101}{8} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{1133}{24} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{847}{8} \, \sqrt{-2 \, x + 1}"," ",0,"-75/56*(2*x - 1)^3*sqrt(-2*x + 1) - 101/8*(2*x - 1)^2*sqrt(-2*x + 1) + 1133/24*(-2*x + 1)^(3/2) - 847/8*sqrt(-2*x + 1)","A",0
2017,1,35,0,1.016577," ","integrate((3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{5}{4} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{55}{6} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{121}{4} \, \sqrt{-2 \, x + 1}"," ",0,"-5/4*(2*x - 1)^2*sqrt(-2*x + 1) + 55/6*(-2*x + 1)^(3/2) - 121/4*sqrt(-2*x + 1)","A",0
2018,1,58,0,1.116662," ","integrate((3+5*x)^2/(2+3*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{25}{18} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{189} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{155}{18} \, \sqrt{-2 \, x + 1}"," ",0,"25/18*(-2*x + 1)^(3/2) + 1/189*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 155/18*sqrt(-2*x + 1)","A",0
2019,1,65,0,0.843566," ","integrate((3+5*x)^2/(2+3*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{23}{441} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{25}{9} \, \sqrt{-2 \, x + 1} - \frac{\sqrt{-2 \, x + 1}}{63 \, {\left(3 \, x + 2\right)}}"," ",0,"-23/441*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 25/9*sqrt(-2*x + 1) - 1/63*sqrt(-2*x + 1)/(3*x + 2)","A",0
2020,1,68,0,1.105888," ","integrate((3+5*x)^2/(2+3*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{257}{2058} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{137 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 315 \, \sqrt{-2 \, x + 1}}{588 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"257/2058*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/588*(137*(-2*x + 1)^(3/2) - 315*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2021,1,84,0,1.197197," ","integrate((3+5*x)^2/(2+3*x)^4/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{2245}{129654} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{20205 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 91420 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 103439 \, \sqrt{-2 \, x + 1}}{24696 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"2245/129654*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/24696*(20205*(2*x - 1)^2*sqrt(-2*x + 1) - 91420*(-2*x + 1)^(3/2) + 103439*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
2022,1,100,0,1.168872," ","integrate((3+5*x)^2/(2+3*x)^5/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{635}{172872} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{17145 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 146685 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 399399 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 351379 \, \sqrt{-2 \, x + 1}}{65856 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"635/172872*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/65856*(17145*(2*x - 1)^3*sqrt(-2*x + 1) + 146685*(2*x - 1)^2*sqrt(-2*x + 1) - 399399*(-2*x + 1)^(3/2) + 351379*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
2023,1,116,0,1.020504," ","integrate((3+5*x)^2/(2+3*x)^6/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{117}{134456} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{426465 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 4643730 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 19813248 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 38017630 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 27201615 \, \sqrt{-2 \, x + 1}}{4609920 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"117/134456*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/4609920*(426465*(2*x - 1)^4*sqrt(-2*x + 1) + 4643730*(2*x - 1)^3*sqrt(-2*x + 1) + 19813248*(2*x - 1)^2*sqrt(-2*x + 1) - 38017630*(-2*x + 1)^(3/2) + 27201615*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
2024,1,115,0,1.071843," ","integrate((2+3*x)^4*(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{675}{128} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} - \frac{161325}{1664} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{1101465}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{1392467}{384} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{1357793}{128} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{12973191}{640} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{3278737}{128} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{3195731}{128} \, \sqrt{-2 \, x + 1}"," ",0,"-675/128*(2*x - 1)^7*sqrt(-2*x + 1) - 161325/1664*(2*x - 1)^6*sqrt(-2*x + 1) - 1101465/1408*(2*x - 1)^5*sqrt(-2*x + 1) - 1392467/384*(2*x - 1)^4*sqrt(-2*x + 1) - 1357793/128*(2*x - 1)^3*sqrt(-2*x + 1) - 12973191/640*(2*x - 1)^2*sqrt(-2*x + 1) + 3278737/128*(-2*x + 1)^(3/2) - 3195731/128*sqrt(-2*x + 1)","A",0
2025,1,99,0,1.027503," ","integrate((2+3*x)^3*(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{3375}{832} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{11475}{176} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{28895}{64} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{98209}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{1334949}{320} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{100793}{16} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{456533}{64} \, \sqrt{-2 \, x + 1}"," ",0,"-3375/832*(2*x - 1)^6*sqrt(-2*x + 1) - 11475/176*(2*x - 1)^5*sqrt(-2*x + 1) - 28895/64*(2*x - 1)^4*sqrt(-2*x + 1) - 98209/56*(2*x - 1)^3*sqrt(-2*x + 1) - 1334949/320*(2*x - 1)^2*sqrt(-2*x + 1) + 100793/16*(-2*x + 1)^(3/2) - 456533/64*sqrt(-2*x + 1)","A",0
2026,1,83,0,0.943728," ","integrate((2+3*x)^2*(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1125}{352} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{4225}{96} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{28555}{112} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{64317}{80} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{48279}{32} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{65219}{32} \, \sqrt{-2 \, x + 1}"," ",0,"-1125/352*(2*x - 1)^5*sqrt(-2*x + 1) - 4225/96*(2*x - 1)^4*sqrt(-2*x + 1) - 28555/112*(2*x - 1)^3*sqrt(-2*x + 1) - 64317/80*(2*x - 1)^2*sqrt(-2*x + 1) + 48279/32*(-2*x + 1)^(3/2) - 65219/32*sqrt(-2*x + 1)","A",0
2027,1,67,0,0.877545," ","integrate((2+3*x)*(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{125}{48} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{1675}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{561}{4} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{2783}{8} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{9317}{16} \, \sqrt{-2 \, x + 1}"," ",0,"-125/48*(2*x - 1)^4*sqrt(-2*x + 1) - 1675/56*(2*x - 1)^3*sqrt(-2*x + 1) - 561/4*(2*x - 1)^2*sqrt(-2*x + 1) + 2783/8*(-2*x + 1)^(3/2) - 9317/16*sqrt(-2*x + 1)","A",0
2028,1,51,0,1.031802," ","integrate((3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{125}{56} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{165}{8} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{605}{8} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{1331}{8} \, \sqrt{-2 \, x + 1}"," ",0,"-125/56*(2*x - 1)^3*sqrt(-2*x + 1) - 165/8*(2*x - 1)^2*sqrt(-2*x + 1) + 605/8*(-2*x + 1)^(3/2) - 1331/8*sqrt(-2*x + 1)","A",0
2029,1,74,0,0.995061," ","integrate((3+5*x)^3/(2+3*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{25}{12} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{400}{27} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{1}{567} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{5135}{108} \, \sqrt{-2 \, x + 1}"," ",0,"-25/12*(2*x - 1)^2*sqrt(-2*x + 1) + 400/27*(-2*x + 1)^(3/2) - 1/567*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 5135/108*sqrt(-2*x + 1)","A",0
2030,1,74,0,1.045022," ","integrate((3+5*x)^3/(2+3*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{125}{54} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{104}{3969} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{725}{54} \, \sqrt{-2 \, x + 1} + \frac{\sqrt{-2 \, x + 1}}{189 \, {\left(3 \, x + 2\right)}}"," ",0,"125/54*(-2*x + 1)^(3/2) + 104/3969*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 725/54*sqrt(-2*x + 1) + 1/189*sqrt(-2*x + 1)/(3*x + 2)","A",0
2031,1,77,0,1.054431," ","integrate((3+5*x)^3/(2+3*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{2381}{18522} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{125}{27} \, \sqrt{-2 \, x + 1} + \frac{621 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1435 \, \sqrt{-2 \, x + 1}}{5292 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-2381/18522*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 125/27*sqrt(-2*x + 1) + 1/5292*(621*(-2*x + 1)^(3/2) - 1435*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2032,1,84,0,1.069647," ","integrate((3+5*x)^3/(2+3*x)^4/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{39355}{194481} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{15840 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 72835 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 83741 \, \sqrt{-2 \, x + 1}}{18522 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"39355/194481*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/18522*(15840*(2*x - 1)^2*sqrt(-2*x + 1) - 72835*(-2*x + 1)^(3/2) + 83741*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
2033,1,100,0,1.018197," ","integrate((3+5*x)^3/(2+3*x)^5/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{42995}{1555848} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{1160865 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 7873845 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 17806943 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 13427323 \, \sqrt{-2 \, x + 1}}{592704 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"42995/1555848*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/592704*(1160865*(2*x - 1)^3*sqrt(-2*x + 1) + 7873845*(2*x - 1)^2*sqrt(-2*x + 1) - 17806943*(-2*x + 1)^(3/2) + 13427323*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
2034,1,116,0,1.310750," ","integrate((3+5*x)^3/(2+3*x)^6/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{5293}{907578} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2143665 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 23342130 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 92390088 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 158930030 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 100809415 \, \sqrt{-2 \, x + 1}}{3457440 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"5293/907578*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/3457440*(2143665*(2*x - 1)^4*sqrt(-2*x + 1) + 23342130*(2*x - 1)^3*sqrt(-2*x + 1) + 92390088*(2*x - 1)^2*sqrt(-2*x + 1) - 158930030*(-2*x + 1)^(3/2) + 100809415*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
2035,1,205,0,1.224319," ","integrate((b*x+a)^2/(d*x+c)^2/(f*x+e)^(1/2),x, algorithm=""giac"")","-\frac{{\left(3 \, b^{2} c^{2} f - 2 \, a b c d f - a^{2} d^{2} f - 4 \, b^{2} c d e + 4 \, a b d^{2} e\right)} \arctan\left(\frac{\sqrt{f x + e} d}{\sqrt{c d f - d^{2} e}}\right)}{{\left(c d^{2} f - d^{3} e\right)} \sqrt{c d f - d^{2} e}} + \frac{2 \, \sqrt{f x + e} b^{2}}{d^{2} f} + \frac{\sqrt{f x + e} b^{2} c^{2} f - 2 \, \sqrt{f x + e} a b c d f + \sqrt{f x + e} a^{2} d^{2} f}{{\left(c d^{2} f - d^{3} e\right)} {\left({\left(f x + e\right)} d + c f - d e\right)}}"," ",0,"-(3*b^2*c^2*f - 2*a*b*c*d*f - a^2*d^2*f - 4*b^2*c*d*e + 4*a*b*d^2*e)*arctan(sqrt(f*x + e)*d/sqrt(c*d*f - d^2*e))/((c*d^2*f - d^3*e)*sqrt(c*d*f - d^2*e)) + 2*sqrt(f*x + e)*b^2/(d^2*f) + (sqrt(f*x + e)*b^2*c^2*f - 2*sqrt(f*x + e)*a*b*c*d*f + sqrt(f*x + e)*a^2*d^2*f)/((c*d^2*f - d^3*e)*((f*x + e)*d + c*f - d*e))","A",0
2036,1,106,0,1.307842," ","integrate((2+3*x)^5/(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{27}{80} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{5751}{1400} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{51057}{2500} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{268707}{5000} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{171875} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{4774713}{50000} \, \sqrt{-2 \, x + 1}"," ",0,"-27/80*(2*x - 1)^4*sqrt(-2*x + 1) - 5751/1400*(2*x - 1)^3*sqrt(-2*x + 1) - 51057/2500*(2*x - 1)^2*sqrt(-2*x + 1) + 268707/5000*(-2*x + 1)^(3/2) + 1/171875*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 4774713/50000*sqrt(-2*x + 1)","A",0
2037,1,90,0,1.216372," ","integrate((2+3*x)^4/(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{81}{280} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{2889}{1000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{11457}{1000} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{34375} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{136419}{5000} \, \sqrt{-2 \, x + 1}"," ",0,"-81/280*(2*x - 1)^3*sqrt(-2*x + 1) - 2889/1000*(2*x - 1)^2*sqrt(-2*x + 1) + 11457/1000*(-2*x + 1)^(3/2) + 1/34375*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 136419/5000*sqrt(-2*x + 1)","A",0
2038,1,74,0,1.218571," ","integrate((2+3*x)^3/(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{27}{100} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{54}{25} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{6875} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{3897}{500} \, \sqrt{-2 \, x + 1}"," ",0,"-27/100*(2*x - 1)^2*sqrt(-2*x + 1) + 54/25*(-2*x + 1)^(3/2) + 1/6875*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 3897/500*sqrt(-2*x + 1)","A",0
2039,1,58,0,1.226781," ","integrate((2+3*x)^2/(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{3}{10} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{1375} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{111}{50} \, \sqrt{-2 \, x + 1}"," ",0,"3/10*(-2*x + 1)^(3/2) + 1/1375*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 111/50*sqrt(-2*x + 1)","A",0
2040,1,49,0,1.283799," ","integrate((2+3*x)/(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{275} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{3}{5} \, \sqrt{-2 \, x + 1}"," ",0,"1/275*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 3/5*sqrt(-2*x + 1)","A",0
2041,1,40,0,1.312444," ","integrate(1/(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{55} \, \sqrt{55} \log\left(\frac{1}{5} \, \sqrt{55} + \sqrt{-2 \, x + 1}\right) + \frac{1}{55} \, \sqrt{55} \log\left({\left| -\frac{1}{5} \, \sqrt{55} + \sqrt{-2 \, x + 1} \right|}\right)"," ",0,"-1/55*sqrt(55)*log(1/5*sqrt(55) + sqrt(-2*x + 1)) + 1/55*sqrt(55)*log(abs(-1/5*sqrt(55) + sqrt(-2*x + 1)))","B",0
2042,1,79,0,1.166962," ","integrate(1/(2+3*x)/(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{11} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{1}{7} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right)"," ",0,"1/11*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 1/7*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1)))","B",0
2043,1,95,0,1.193076," ","integrate(1/(2+3*x)^2/(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{5}{11} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{36}{49} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{3 \, \sqrt{-2 \, x + 1}}{7 \, {\left(3 \, x + 2\right)}}"," ",0,"5/11*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 36/49*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 3/7*sqrt(-2*x + 1)/(3*x + 2)","A",0
2044,1,107,0,1.207203," ","integrate(1/(2+3*x)^3/(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{25}{11} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2523}{686} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{9 \, {\left(73 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 175 \, \sqrt{-2 \, x + 1}\right)}}{196 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"25/11*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 2523/686*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 9/196*(73*(-2*x + 1)^(3/2) - 175*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2045,1,123,0,1.234668," ","integrate(1/(2+3*x)^4/(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{125}{11} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{44155}{2401} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{3 \, {\left(5760 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 27265 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 32291 \, \sqrt{-2 \, x + 1}\right)}}{686 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"125/11*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 44155/2401*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 3/686*(5760*(2*x - 1)^2*sqrt(-2*x + 1) - 27265*(-2*x + 1)^(3/2) + 32291*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
2046,1,139,0,1.316620," ","integrate(1/(2+3*x)^5/(3+5*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{625}{11} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{36045}{392} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{3 \, {\left(28215 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 199395 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 469833 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 369133 \, \sqrt{-2 \, x + 1}\right)}}{448 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"625/11*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 36045/392*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 3/448*(28215*(2*x - 1)^3*sqrt(-2*x + 1) + 199395*(2*x - 1)^2*sqrt(-2*x + 1) - 469833*(-2*x + 1)^(3/2) + 369133*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
2047,1,122,0,1.293716," ","integrate((2+3*x)^6/(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{81}{400} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{2187}{875} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{315171}{25000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{105228}{3125} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{199}{9453125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{607689}{10000} \, \sqrt{-2 \, x + 1} - \frac{\sqrt{-2 \, x + 1}}{171875 \, {\left(5 \, x + 3\right)}}"," ",0,"-81/400*(2*x - 1)^4*sqrt(-2*x + 1) - 2187/875*(2*x - 1)^3*sqrt(-2*x + 1) - 315171/25000*(2*x - 1)^2*sqrt(-2*x + 1) + 105228/3125*(-2*x + 1)^(3/2) + 199/9453125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 607689/10000*sqrt(-2*x + 1) - 1/171875*sqrt(-2*x + 1)/(5*x + 3)","A",0
2048,1,106,0,1.248957," ","integrate((2+3*x)^5/(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{243}{1400} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{8829}{5000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{35703}{5000} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{166}{1890625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{434043}{25000} \, \sqrt{-2 \, x + 1} - \frac{\sqrt{-2 \, x + 1}}{34375 \, {\left(5 \, x + 3\right)}}"," ",0,"-243/1400*(2*x - 1)^3*sqrt(-2*x + 1) - 8829/5000*(2*x - 1)^2*sqrt(-2*x + 1) + 35703/5000*(-2*x + 1)^(3/2) + 166/1890625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 434043/25000*sqrt(-2*x + 1) - 1/34375*sqrt(-2*x + 1)/(5*x + 3)","A",0
2049,1,90,0,1.299891," ","integrate((2+3*x)^4/(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{81}{500} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{333}{250} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{133}{378125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{12393}{2500} \, \sqrt{-2 \, x + 1} - \frac{\sqrt{-2 \, x + 1}}{6875 \, {\left(5 \, x + 3\right)}}"," ",0,"-81/500*(2*x - 1)^2*sqrt(-2*x + 1) + 333/250*(-2*x + 1)^(3/2) + 133/378125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 12393/2500*sqrt(-2*x + 1) - 1/6875*sqrt(-2*x + 1)/(5*x + 3)","A",0
2050,1,74,0,1.239118," ","integrate((2+3*x)^3/(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{9}{50} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{4}{3025} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{351}{250} \, \sqrt{-2 \, x + 1} - \frac{\sqrt{-2 \, x + 1}}{1375 \, {\left(5 \, x + 3\right)}}"," ",0,"9/50*(-2*x + 1)^(3/2) + 4/3025*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 351/250*sqrt(-2*x + 1) - 1/1375*sqrt(-2*x + 1)/(5*x + 3)","A",0
2051,1,65,0,1.244175," ","integrate((2+3*x)^2/(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{67}{15125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{9}{25} \, \sqrt{-2 \, x + 1} - \frac{\sqrt{-2 \, x + 1}}{275 \, {\left(5 \, x + 3\right)}}"," ",0,"67/15125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 9/25*sqrt(-2*x + 1) - 1/275*sqrt(-2*x + 1)/(5*x + 3)","A",0
2052,1,56,0,1.278562," ","integrate((2+3*x)/(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{34}{3025} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{\sqrt{-2 \, x + 1}}{55 \, {\left(5 \, x + 3\right)}}"," ",0,"34/3025*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 1/55*sqrt(-2*x + 1)/(5*x + 3)","A",0
2053,1,56,0,1.206811," ","integrate(1/(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{605} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{\sqrt{-2 \, x + 1}}{11 \, {\left(5 \, x + 3\right)}}"," ",0,"1/605*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 1/11*sqrt(-2*x + 1)/(5*x + 3)","A",0
2054,1,95,0,1.234542," ","integrate(1/(2+3*x)/(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{32}{121} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{3}{7} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{5 \, \sqrt{-2 \, x + 1}}{11 \, {\left(5 \, x + 3\right)}}"," ",0,"-32/121*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 3/7*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 5/11*sqrt(-2*x + 1)/(5*x + 3)","A",0
2055,1,116,0,1.199346," ","integrate(1/(2+3*x)^2/(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{325}{121} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{213}{49} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(510 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1157 \, \sqrt{-2 \, x + 1}\right)}}{77 \, {\left(15 \, {\left(2 \, x - 1\right)}^{2} + 136 \, x + 9\right)}}"," ",0,"-325/121*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 213/49*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 4/77*(510*(-2*x + 1)^(3/2) - 1157*sqrt(-2*x + 1))/(15*(2*x - 1)^2 + 136*x + 9)","A",0
2056,1,123,0,1.204686," ","integrate(1/(2+3*x)^3/(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{2450}{121} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{22479}{686} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{125 \, \sqrt{-2 \, x + 1}}{11 \, {\left(5 \, x + 3\right)}} + \frac{9 \, {\left(429 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1015 \, \sqrt{-2 \, x + 1}\right)}}{196 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-2450/121*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 22479/686*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 125/11*sqrt(-2*x + 1)/(5*x + 3) + 9/196*(429*(-2*x + 1)^(3/2) - 1015*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2057,1,139,0,1.257571," ","integrate(1/(2+3*x)^4/(3+5*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{16375}{121} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1051695}{4802} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{625 \, \sqrt{-2 \, x + 1}}{11 \, {\left(5 \, x + 3\right)}} - \frac{9 \, {\left(68085 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 320740 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 377839 \, \sqrt{-2 \, x + 1}\right)}}{2744 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"-16375/121*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 1051695/4802*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 625/11*sqrt(-2*x + 1)/(5*x + 3) - 9/2744*(68085*(2*x - 1)^2*sqrt(-2*x + 1) - 320740*(-2*x + 1)^(3/2) + 377839*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
2058,1,118,0,1.337055," ","integrate((2+3*x)^6/(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{729}{7000} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{26973}{25000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{111213}{25000} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{33069}{207968750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{276183}{25000} \, \sqrt{-2 \, x + 1} + \frac{1995 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 4411 \, \sqrt{-2 \, x + 1}}{7562500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"-729/7000*(2*x - 1)^3*sqrt(-2*x + 1) - 26973/25000*(2*x - 1)^2*sqrt(-2*x + 1) + 111213/25000*(-2*x + 1)^(3/2) + 33069/207968750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 276183/25000*sqrt(-2*x + 1) + 1/7562500*(1995*(-2*x + 1)^(3/2) - 4411*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2059,1,102,0,1.336945," ","integrate((2+3*x)^5/(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{243}{2500} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{513}{625} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{22113}{41593750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{39393}{12500} \, \sqrt{-2 \, x + 1} + \frac{333 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 737 \, \sqrt{-2 \, x + 1}}{302500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"-243/2500*(2*x - 1)^2*sqrt(-2*x + 1) + 513/625*(-2*x + 1)^(3/2) + 22113/41593750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 39393/12500*sqrt(-2*x + 1) + 1/302500*(333*(-2*x + 1)^(3/2) - 737*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2060,1,86,0,1.300629," ","integrate((2+3*x)^4/(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{27}{250} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{2667}{1663750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{1107}{1250} \, \sqrt{-2 \, x + 1} + \frac{1335 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2959 \, \sqrt{-2 \, x + 1}}{302500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"27/250*(-2*x + 1)^(3/2) + 2667/1663750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 1107/1250*sqrt(-2*x + 1) + 1/302500*(1335*(-2*x + 1)^(3/2) - 2959*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2061,1,77,0,1.253043," ","integrate((2+3*x)^3/(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1347}{332750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{27}{125} \, \sqrt{-2 \, x + 1} + \frac{1005 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2233 \, \sqrt{-2 \, x + 1}}{60500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"1347/332750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 27/125*sqrt(-2*x + 1) + 1/60500*(1005*(-2*x + 1)^(3/2) - 2233*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2062,1,68,0,1.228655," ","integrate((2+3*x)^2/(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{2313}{332750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{675 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1507 \, \sqrt{-2 \, x + 1}}{12100 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"2313/332750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 1/12100*(675*(-2*x + 1)^(3/2) - 1507*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2063,1,68,0,1.164551," ","integrate((2+3*x)/(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{69}{66550} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{345 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 781 \, \sqrt{-2 \, x + 1}}{2420 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"69/66550*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 1/2420*(345*(-2*x + 1)^(3/2) - 781*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2064,1,68,0,1.220837," ","integrate(1/(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{3}{13310} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{5 \, {\left(3 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 11 \, \sqrt{-2 \, x + 1}\right)}}{484 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"3/13310*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 5/484*(3*(-2*x + 1)^(3/2) - 11*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2065,1,107,0,1.244045," ","integrate(1/(2+3*x)/(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{2115}{2662} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{9}{7} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{5 \, {\left(315 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 671 \, \sqrt{-2 \, x + 1}\right)}}{484 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"2115/2662*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 9/7*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 5/484*(315*(-2*x + 1)^(3/2) - 671*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2066,1,123,0,1.351377," ","integrate(1/(2+3*x)^2/(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{32025}{2662} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{954}{49} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{27 \, \sqrt{-2 \, x + 1}}{7 \, {\left(3 \, x + 2\right)}} - \frac{25 \, {\left(645 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1397 \, \sqrt{-2 \, x + 1}\right)}}{484 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"32025/2662*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 954/49*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 27/7*sqrt(-2*x + 1)/(3*x + 2) - 25/484*(645*(-2*x + 1)^(3/2) - 1397*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2067,1,148,0,1.254468," ","integrate(1/(2+3*x)^3/(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{321825}{2662} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{134217}{686} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2 \, {\left(52968600 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 360203715 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 816108324 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 616051205 \, \sqrt{-2 \, x + 1}\right)}}{5929 \, {\left(15 \, {\left(2 \, x - 1\right)}^{2} + 136 \, x + 9\right)}^{2}}"," ",0,"321825/2662*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 134217/686*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 2/5929*(52968600*(2*x - 1)^3*sqrt(-2*x + 1) + 360203715*(2*x - 1)^2*sqrt(-2*x + 1) - 816108324*(-2*x + 1)^(3/2) + 616051205*sqrt(-2*x + 1))/(15*(2*x - 1)^2 + 136*x + 9)^2","A",0
2068,1,151,0,1.242150," ","integrate(1/(2+3*x)^4/(3+5*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{2689875}{2662} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{3926340}{2401} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{625 \, {\left(1305 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2849 \, \sqrt{-2 \, x + 1}\right)}}{484 \, {\left(5 \, x + 3\right)}^{2}} + \frac{27 \, {\left(33795 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 158830 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 186641 \, \sqrt{-2 \, x + 1}\right)}}{686 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"2689875/2662*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 3926340/2401*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 625/484*(1305*(-2*x + 1)^(3/2) - 2849*sqrt(-2*x + 1))/(5*x + 3)^2 + 27/686*(33795*(2*x - 1)^2*sqrt(-2*x + 1) - 158830*(-2*x + 1)^(3/2) + 186641*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
2069,1,124,0,1.241524," ","integrate((2+3*x)^7*(3+5*x)/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{729}{256} \, {\left(2 \, x - 1\right)}^{7} \sqrt{-2 \, x + 1} + \frac{101331}{1664} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{821583}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{422919}{128} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{787185}{64} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{4084101}{128} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{7882483}{128} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{15647317}{128} \, \sqrt{-2 \, x + 1} + \frac{9058973}{256 \, \sqrt{-2 \, x + 1}}"," ",0,"729/256*(2*x - 1)^7*sqrt(-2*x + 1) + 101331/1664*(2*x - 1)^6*sqrt(-2*x + 1) + 821583/1408*(2*x - 1)^5*sqrt(-2*x + 1) + 422919/128*(2*x - 1)^4*sqrt(-2*x + 1) + 787185/64*(2*x - 1)^3*sqrt(-2*x + 1) + 4084101/128*(2*x - 1)^2*sqrt(-2*x + 1) - 7882483/128*(-2*x + 1)^(3/2) + 15647317/128*sqrt(-2*x + 1) + 9058973/256/sqrt(-2*x + 1)","A",0
2070,1,108,0,1.174487," ","integrate((2+3*x)^6*(3+5*x)/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{3645}{1664} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{59049}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{45549}{128} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{225855}{128} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{731619}{128} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{1692705}{128} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{3916031}{128} \, \sqrt{-2 \, x + 1} + \frac{1294139}{128 \, \sqrt{-2 \, x + 1}}"," ",0,"3645/1664*(2*x - 1)^6*sqrt(-2*x + 1) + 59049/1408*(2*x - 1)^5*sqrt(-2*x + 1) + 45549/128*(2*x - 1)^4*sqrt(-2*x + 1) + 225855/128*(2*x - 1)^3*sqrt(-2*x + 1) + 731619/128*(2*x - 1)^2*sqrt(-2*x + 1) - 1692705/128*(-2*x + 1)^(3/2) + 3916031/128*sqrt(-2*x + 1) + 1294139/128/sqrt(-2*x + 1)","A",0
2071,1,92,0,1.235824," ","integrate((2+3*x)^5*(3+5*x)/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{1215}{704} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{117}{4} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{13905}{64} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{7497}{8} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{173215}{64} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{60025}{8} \, \sqrt{-2 \, x + 1} + \frac{184877}{64 \, \sqrt{-2 \, x + 1}}"," ",0,"1215/704*(2*x - 1)^5*sqrt(-2*x + 1) + 117/4*(2*x - 1)^4*sqrt(-2*x + 1) + 13905/64*(2*x - 1)^3*sqrt(-2*x + 1) + 7497/8*(2*x - 1)^2*sqrt(-2*x + 1) - 173215/64*(-2*x + 1)^(3/2) + 60025/8*sqrt(-2*x + 1) + 184877/64/sqrt(-2*x + 1)","A",0
2072,1,76,0,1.281003," ","integrate((2+3*x)^4*(3+5*x)/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{45}{32} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{4671}{224} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{10773}{80} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{8281}{16} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{57281}{32} \, \sqrt{-2 \, x + 1} + \frac{26411}{32 \, \sqrt{-2 \, x + 1}}"," ",0,"45/32*(2*x - 1)^4*sqrt(-2*x + 1) + 4671/224*(2*x - 1)^3*sqrt(-2*x + 1) + 10773/80*(2*x - 1)^2*sqrt(-2*x + 1) - 8281/16*(-2*x + 1)^(3/2) + 57281/32*sqrt(-2*x + 1) + 26411/32/sqrt(-2*x + 1)","A",0
2073,1,60,0,1.217278," ","integrate((2+3*x)^3*(3+5*x)/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{135}{112} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{621}{40} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{357}{4} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{3283}{8} \, \sqrt{-2 \, x + 1} + \frac{3773}{16 \, \sqrt{-2 \, x + 1}}"," ",0,"135/112*(2*x - 1)^3*sqrt(-2*x + 1) + 621/40*(2*x - 1)^2*sqrt(-2*x + 1) - 357/4*(-2*x + 1)^(3/2) + 3283/8*sqrt(-2*x + 1) + 3773/16/sqrt(-2*x + 1)","A",0
2074,1,44,0,1.185840," ","integrate((2+3*x)^2*(3+5*x)/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{9}{8} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{103}{8} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{707}{8} \, \sqrt{-2 \, x + 1} + \frac{539}{8 \, \sqrt{-2 \, x + 1}}"," ",0,"9/8*(2*x - 1)^2*sqrt(-2*x + 1) - 103/8*(-2*x + 1)^(3/2) + 707/8*sqrt(-2*x + 1) + 539/8/sqrt(-2*x + 1)","A",0
2075,1,28,0,1.187314," ","integrate((2+3*x)*(3+5*x)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{5}{4} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 17 \, \sqrt{-2 \, x + 1} + \frac{77}{4 \, \sqrt{-2 \, x + 1}}"," ",0,"-5/4*(-2*x + 1)^(3/2) + 17*sqrt(-2*x + 1) + 77/4/sqrt(-2*x + 1)","A",0
2076,1,19,0,1.178095," ","integrate((3+5*x)/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{5}{2} \, \sqrt{-2 \, x + 1} + \frac{11}{2 \, \sqrt{-2 \, x + 1}}"," ",0,"5/2*sqrt(-2*x + 1) + 11/2/sqrt(-2*x + 1)","A",0
2077,1,49,0,1.265767," ","integrate((3+5*x)/(1-2*x)^(3/2)/(2+3*x),x, algorithm=""giac"")","-\frac{1}{147} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{11}{7 \, \sqrt{-2 \, x + 1}}"," ",0,"-1/147*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 11/7/sqrt(-2*x + 1)","A",0
2078,1,68,0,1.213235," ","integrate((3+5*x)/(1-2*x)^(3/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{32}{1029} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2 \, {\left(64 \, x + 45\right)}}{49 \, {\left(3 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 7 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"32/1029*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 2/49*(64*x + 45)/(3*(-2*x + 1)^(3/2) - 7*sqrt(-2*x + 1))","A",0
2079,1,77,0,1.172953," ","integrate((3+5*x)/(1-2*x)^(3/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{65}{4802} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{44}{343 \, \sqrt{-2 \, x + 1}} + \frac{27 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 61 \, \sqrt{-2 \, x + 1}}{196 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"65/4802*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 44/343/sqrt(-2*x + 1) + 1/196*(27*(-2*x + 1)^(3/2) - 61*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2080,1,93,0,1.281257," ","integrate((3+5*x)/(1-2*x)^(3/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{5}{1029} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{88}{2401 \, \sqrt{-2 \, x + 1}} - \frac{1017 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 5404 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 7007 \, \sqrt{-2 \, x + 1}}{9604 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"5/1029*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 88/2401/sqrt(-2*x + 1) - 1/9604*(1017*(2*x - 1)^2*sqrt(-2*x + 1) - 5404*(-2*x + 1)^(3/2) + 7007*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
2081,1,109,0,1.274244," ","integrate((3+5*x)/(1-2*x)^(3/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{655}{403368} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{176}{16807 \, \sqrt{-2 \, x + 1}} - \frac{66771 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 526911 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 1417325 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 1281105 \, \sqrt{-2 \, x + 1}}{1075648 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"655/403368*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 176/16807/sqrt(-2*x + 1) - 1/1075648*(66771*(2*x - 1)^3*sqrt(-2*x + 1) + 526911*(2*x - 1)^2*sqrt(-2*x + 1) - 1417325*(-2*x + 1)^(3/2) + 1281105*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
2082,1,125,0,1.227731," ","integrate((3+5*x)/(1-2*x)^(3/2)/(2+3*x)^6,x, algorithm=""giac"")","\frac{123}{235298} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{352}{117649 \, \sqrt{-2 \, x + 1}} - \frac{618435 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 6401430 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 25316928 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 45656730 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 31609165 \, \sqrt{-2 \, x + 1}}{18823840 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"123/235298*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 352/117649/sqrt(-2*x + 1) - 1/18823840*(618435*(2*x - 1)^4*sqrt(-2*x + 1) + 6401430*(2*x - 1)^3*sqrt(-2*x + 1) + 25316928*(2*x - 1)^2*sqrt(-2*x + 1) - 45656730*(-2*x + 1)^(3/2) + 31609165*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
2083,1,108,0,1.221341," ","integrate((2+3*x)^5*(3+5*x)^2/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{6075}{1664} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{97605}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{74667}{128} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{367155}{128} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{1179381}{128} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{8117095}{384} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{6206585}{128} \, \sqrt{-2 \, x + 1} + \frac{2033647}{128 \, \sqrt{-2 \, x + 1}}"," ",0,"6075/1664*(2*x - 1)^6*sqrt(-2*x + 1) + 97605/1408*(2*x - 1)^5*sqrt(-2*x + 1) + 74667/128*(2*x - 1)^4*sqrt(-2*x + 1) + 367155/128*(2*x - 1)^3*sqrt(-2*x + 1) + 1179381/128*(2*x - 1)^2*sqrt(-2*x + 1) - 8117095/384*(-2*x + 1)^(3/2) + 6206585/128*sqrt(-2*x + 1) + 2033647/128/sqrt(-2*x + 1)","A",0
2084,1,92,0,1.245135," ","integrate((2+3*x)^4*(3+5*x)^2/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{2025}{704} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{1545}{32} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{159111}{448} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{121359}{80} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{832951}{192} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{381073}{32} \, \sqrt{-2 \, x + 1} + \frac{290521}{64 \, \sqrt{-2 \, x + 1}}"," ",0,"2025/704*(2*x - 1)^5*sqrt(-2*x + 1) + 1545/32*(2*x - 1)^4*sqrt(-2*x + 1) + 159111/448*(2*x - 1)^3*sqrt(-2*x + 1) + 121359/80*(2*x - 1)^2*sqrt(-2*x + 1) - 832951/192*(-2*x + 1)^(3/2) + 381073/32*sqrt(-2*x + 1) + 290521/64/sqrt(-2*x + 1)","A",0
2085,1,76,0,1.243033," ","integrate((2+3*x)^3*(3+5*x)^2/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{75}{32} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{7695}{224} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{17541}{80} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{39977}{48} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{91091}{32} \, \sqrt{-2 \, x + 1} + \frac{41503}{32 \, \sqrt{-2 \, x + 1}}"," ",0,"75/32*(2*x - 1)^4*sqrt(-2*x + 1) + 7695/224*(2*x - 1)^3*sqrt(-2*x + 1) + 17541/80*(2*x - 1)^2*sqrt(-2*x + 1) - 39977/48*(-2*x + 1)^(3/2) + 91091/32*sqrt(-2*x + 1) + 41503/32/sqrt(-2*x + 1)","A",0
2086,1,60,0,1.164598," ","integrate((2+3*x)^2*(3+5*x)^2/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{225}{112} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{51}{2} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{3467}{24} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1309}{2} \, \sqrt{-2 \, x + 1} + \frac{5929}{16 \, \sqrt{-2 \, x + 1}}"," ",0,"225/112*(2*x - 1)^3*sqrt(-2*x + 1) + 51/2*(2*x - 1)^2*sqrt(-2*x + 1) - 3467/24*(-2*x + 1)^(3/2) + 1309/2*sqrt(-2*x + 1) + 5929/16/sqrt(-2*x + 1)","A",0
2087,1,44,0,1.202432," ","integrate((2+3*x)*(3+5*x)^2/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{15}{8} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{505}{24} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1133}{8} \, \sqrt{-2 \, x + 1} + \frac{847}{8 \, \sqrt{-2 \, x + 1}}"," ",0,"15/8*(2*x - 1)^2*sqrt(-2*x + 1) - 505/24*(-2*x + 1)^(3/2) + 1133/8*sqrt(-2*x + 1) + 847/8/sqrt(-2*x + 1)","A",0
2088,1,28,0,1.131886," ","integrate((3+5*x)^2/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{25}{12} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{55}{2} \, \sqrt{-2 \, x + 1} + \frac{121}{4 \, \sqrt{-2 \, x + 1}}"," ",0,"-25/12*(-2*x + 1)^(3/2) + 55/2*sqrt(-2*x + 1) + 121/4/sqrt(-2*x + 1)","A",0
2089,1,58,0,1.256257," ","integrate((3+5*x)^2/(1-2*x)^(3/2)/(2+3*x),x, algorithm=""giac"")","\frac{1}{441} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{25}{6} \, \sqrt{-2 \, x + 1} + \frac{121}{14 \, \sqrt{-2 \, x + 1}}"," ",0,"1/441*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 25/6*sqrt(-2*x + 1) + 121/14/sqrt(-2*x + 1)","A",0
2090,1,68,0,1.244765," ","integrate((3+5*x)^2/(1-2*x)^(3/2)/(2+3*x)^2,x, algorithm=""giac"")","-\frac{67}{3087} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2 \, {\left(1091 \, x + 725\right)}}{147 \, {\left(3 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 7 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"-67/3087*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 2/147*(1091*x + 725)/(3*(-2*x + 1)^(3/2) - 7*sqrt(-2*x + 1))","A",0
2091,1,77,0,1.258816," ","integrate((3+5*x)^2/(1-2*x)^(3/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{2045}{43218} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{242}{343 \, \sqrt{-2 \, x + 1}} - \frac{57 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 131 \, \sqrt{-2 \, x + 1}}{588 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"2045/43218*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 242/343/sqrt(-2*x + 1) - 1/588*(57*(-2*x + 1)^(3/2) - 131*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2092,1,93,0,1.228410," ","integrate((3+5*x)^2/(1-2*x)^(3/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{905}{43218} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{484}{2401 \, \sqrt{-2 \, x + 1}} - \frac{17811 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 80332 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 90601 \, \sqrt{-2 \, x + 1}}{57624 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"905/43218*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 484/2401/sqrt(-2*x + 1) - 1/57624*(17811*(2*x - 1)^2*sqrt(-2*x + 1) - 80332*(-2*x + 1)^(3/2) + 90601*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
2093,1,109,0,1.329531," ","integrate((3+5*x)^2/(1-2*x)^(3/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{9145}{1210104} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{968}{16807 \, \sqrt{-2 \, x + 1}} - \frac{787509 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 6005769 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 15060395 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 12452615 \, \sqrt{-2 \, x + 1}}{3226944 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"9145/1210104*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 968/16807/sqrt(-2*x + 1) - 1/3226944*(787509*(2*x - 1)^3*sqrt(-2*x + 1) + 6005769*(2*x - 1)^2*sqrt(-2*x + 1) - 15060395*(-2*x + 1)^(3/2) + 12452615*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
2094,1,108,0,1.273448," ","integrate((2+3*x)^4*(3+5*x)^3/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{10125}{1664} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} + \frac{161325}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{122385}{128} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{4177401}{896} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{9504551}{640} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{4324397}{128} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{9836211}{128} \, \sqrt{-2 \, x + 1} + \frac{3195731}{128 \, \sqrt{-2 \, x + 1}}"," ",0,"10125/1664*(2*x - 1)^6*sqrt(-2*x + 1) + 161325/1408*(2*x - 1)^5*sqrt(-2*x + 1) + 122385/128*(2*x - 1)^4*sqrt(-2*x + 1) + 4177401/896*(2*x - 1)^3*sqrt(-2*x + 1) + 9504551/640*(2*x - 1)^2*sqrt(-2*x + 1) - 4324397/128*(-2*x + 1)^(3/2) + 9836211/128*sqrt(-2*x + 1) + 3195731/128/sqrt(-2*x + 1)","A",0
2095,1,92,0,1.197843," ","integrate((2+3*x)^3*(3+5*x)^3/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{3375}{704} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} + \frac{1275}{16} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{260055}{448} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{98209}{40} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{444983}{64} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{302379}{16} \, \sqrt{-2 \, x + 1} + \frac{456533}{64 \, \sqrt{-2 \, x + 1}}"," ",0,"3375/704*(2*x - 1)^5*sqrt(-2*x + 1) + 1275/16*(2*x - 1)^4*sqrt(-2*x + 1) + 260055/448*(2*x - 1)^3*sqrt(-2*x + 1) + 98209/40*(2*x - 1)^2*sqrt(-2*x + 1) - 444983/64*(-2*x + 1)^(3/2) + 302379/16*sqrt(-2*x + 1) + 456533/64/sqrt(-2*x + 1)","A",0
2096,1,76,0,1.256644," ","integrate((2+3*x)^2*(3+5*x)^3/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{125}{32} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{12675}{224} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{5711}{16} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{21439}{16} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{144837}{32} \, \sqrt{-2 \, x + 1} + \frac{65219}{32 \, \sqrt{-2 \, x + 1}}"," ",0,"125/32*(2*x - 1)^4*sqrt(-2*x + 1) + 12675/224*(2*x - 1)^3*sqrt(-2*x + 1) + 5711/16*(2*x - 1)^2*sqrt(-2*x + 1) - 21439/16*(-2*x + 1)^(3/2) + 144837/32*sqrt(-2*x + 1) + 65219/32/sqrt(-2*x + 1)","A",0
2097,1,60,0,1.247994," ","integrate((2+3*x)*(3+5*x)^3/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{375}{112} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{335}{8} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{935}{4} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{8349}{8} \, \sqrt{-2 \, x + 1} + \frac{9317}{16 \, \sqrt{-2 \, x + 1}}"," ",0,"375/112*(2*x - 1)^3*sqrt(-2*x + 1) + 335/8*(2*x - 1)^2*sqrt(-2*x + 1) - 935/4*(-2*x + 1)^(3/2) + 8349/8*sqrt(-2*x + 1) + 9317/16/sqrt(-2*x + 1)","A",0
2098,1,44,0,1.180573," ","integrate((3+5*x)^3/(1-2*x)^(3/2),x, algorithm=""giac"")","\frac{25}{8} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{275}{8} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1815}{8} \, \sqrt{-2 \, x + 1} + \frac{1331}{8 \, \sqrt{-2 \, x + 1}}"," ",0,"25/8*(2*x - 1)^2*sqrt(-2*x + 1) - 275/8*(-2*x + 1)^(3/2) + 1815/8*sqrt(-2*x + 1) + 1331/8/sqrt(-2*x + 1)","A",0
2099,1,67,0,1.264641," ","integrate((3+5*x)^3/(1-2*x)^(3/2)/(2+3*x),x, algorithm=""giac"")","-\frac{125}{36} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{1}{1323} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{400}{9} \, \sqrt{-2 \, x + 1} + \frac{1331}{28 \, \sqrt{-2 \, x + 1}}"," ",0,"-125/36*(-2*x + 1)^(3/2) - 1/1323*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 400/9*sqrt(-2*x + 1) + 1331/28/sqrt(-2*x + 1)","A",0
2100,1,77,0,1.337399," ","integrate((3+5*x)^3/(1-2*x)^(3/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{34}{3087} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{125}{18} \, \sqrt{-2 \, x + 1} - \frac{35933 \, x + 23960}{441 \, {\left(3 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 7 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"34/3087*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 125/18*sqrt(-2*x + 1) - 1/441*(35933*x + 23960)/(3*(-2*x + 1)^(3/2) - 7*sqrt(-2*x + 1))","A",0
2101,1,77,0,1.278628," ","integrate((3+5*x)^3/(1-2*x)^(3/2)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{2245}{43218} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1331}{343 \, \sqrt{-2 \, x + 1}} + \frac{29 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 67 \, \sqrt{-2 \, x + 1}}{588 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-2245/43218*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1331/343/sqrt(-2*x + 1) + 1/588*(29*(-2*x + 1)^(3/2) - 67*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2102,1,93,0,1.270778," ","integrate((3+5*x)^3/(1-2*x)^(3/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{4660}{64827} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2662}{2401 \, \sqrt{-2 \, x + 1}} + \frac{29853 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 137186 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 157633 \, \sqrt{-2 \, x + 1}}{86436 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"4660/64827*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 2662/2401/sqrt(-2*x + 1) + 1/86436*(29853*(2*x - 1)^2*sqrt(-2*x + 1) - 137186*(-2*x + 1)^(3/2) + 157633*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
2103,1,109,0,1.317483," ","integrate((3+5*x)^3/(1-2*x)^(3/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{39185}{1210104} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{5324}{16807 \, \sqrt{-2 \, x + 1}} - \frac{2231037 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 15062817 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 33905795 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 25445455 \, \sqrt{-2 \, x + 1}}{3226944 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"39185/1210104*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 5324/16807/sqrt(-2*x + 1) - 1/3226944*(2231037*(2*x - 1)^3*sqrt(-2*x + 1) + 15062817*(2*x - 1)^2*sqrt(-2*x + 1) - 33905795*(-2*x + 1)^(3/2) + 25445455*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
2104,1,115,0,1.305890," ","integrate((2+3*x)^6/(1-2*x)^(3/2)/(3+5*x),x, algorithm=""giac"")","\frac{81}{160} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + \frac{43011}{5600} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{507627}{10000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{1997451}{10000} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{1890625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{70752609}{100000} \, \sqrt{-2 \, x + 1} + \frac{117649}{352 \, \sqrt{-2 \, x + 1}}"," ",0,"81/160*(2*x - 1)^4*sqrt(-2*x + 1) + 43011/5600*(2*x - 1)^3*sqrt(-2*x + 1) + 507627/10000*(2*x - 1)^2*sqrt(-2*x + 1) - 1997451/10000*(-2*x + 1)^(3/2) + 1/1890625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 70752609/100000*sqrt(-2*x + 1) + 117649/352/sqrt(-2*x + 1)","A",0
2105,1,99,0,1.285051," ","integrate((2+3*x)^5/(1-2*x)^(3/2)/(3+5*x),x, algorithm=""giac"")","\frac{243}{560} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{5751}{1000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{17019}{500} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{378125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{806121}{5000} \, \sqrt{-2 \, x + 1} + \frac{16807}{176 \, \sqrt{-2 \, x + 1}}"," ",0,"243/560*(2*x - 1)^3*sqrt(-2*x + 1) + 5751/1000*(2*x - 1)^2*sqrt(-2*x + 1) - 17019/500*(-2*x + 1)^(3/2) + 1/378125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 806121/5000*sqrt(-2*x + 1) + 16807/176/sqrt(-2*x + 1)","A",0
2106,1,83,0,1.375004," ","integrate((2+3*x)^4/(1-2*x)^(3/2)/(3+5*x),x, algorithm=""giac"")","\frac{81}{200} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{963}{200} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{75625} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{34371}{1000} \, \sqrt{-2 \, x + 1} + \frac{2401}{88 \, \sqrt{-2 \, x + 1}}"," ",0,"81/200*(2*x - 1)^2*sqrt(-2*x + 1) - 963/200*(-2*x + 1)^(3/2) + 1/75625*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 34371/1000*sqrt(-2*x + 1) + 2401/88/sqrt(-2*x + 1)","A",0
2107,1,67,0,1.228267," ","integrate((2+3*x)^3/(1-2*x)^(3/2)/(3+5*x),x, algorithm=""giac"")","-\frac{9}{20} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{15125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{162}{25} \, \sqrt{-2 \, x + 1} + \frac{343}{44 \, \sqrt{-2 \, x + 1}}"," ",0,"-9/20*(-2*x + 1)^(3/2) + 1/15125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 162/25*sqrt(-2*x + 1) + 343/44/sqrt(-2*x + 1)","A",0
2108,1,58,0,1.364493," ","integrate((2+3*x)^2/(1-2*x)^(3/2)/(3+5*x),x, algorithm=""giac"")","\frac{1}{3025} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{9}{10} \, \sqrt{-2 \, x + 1} + \frac{49}{22 \, \sqrt{-2 \, x + 1}}"," ",0,"1/3025*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 9/10*sqrt(-2*x + 1) + 49/22/sqrt(-2*x + 1)","A",0
2109,1,49,0,1.255734," ","integrate((2+3*x)/(1-2*x)^(3/2)/(3+5*x),x, algorithm=""giac"")","\frac{1}{605} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{7}{11 \, \sqrt{-2 \, x + 1}}"," ",0,"1/605*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 7/11/sqrt(-2*x + 1)","A",0
2110,1,49,0,1.239568," ","integrate(1/(1-2*x)^(3/2)/(3+5*x),x, algorithm=""giac"")","\frac{1}{121} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2}{11 \, \sqrt{-2 \, x + 1}}"," ",0,"1/121*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 2/11/sqrt(-2*x + 1)","A",0
2111,1,88,0,1.211352," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)/(3+5*x),x, algorithm=""giac"")","\frac{5}{121} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{3}{49} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4}{77 \, \sqrt{-2 \, x + 1}}"," ",0,"5/121*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 3/49*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 4/77/sqrt(-2*x + 1)","A",0
2112,1,107,0,1.233008," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{25}{121} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{114}{343} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2 \, {\left(174 \, x - 115\right)}}{539 \, {\left(3 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 7 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"25/121*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 114/343*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 2/539*(174*x - 115)/(3*(-2*x + 1)^(3/2) - 7*sqrt(-2*x + 1))","A",0
2113,1,116,0,1.253610," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","\frac{125}{121} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{8025}{4802} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{16}{3773 \, \sqrt{-2 \, x + 1}} - \frac{9 \, {\left(33 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 79 \, \sqrt{-2 \, x + 1}\right)}}{196 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"125/121*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 8025/4802*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 16/3773/sqrt(-2*x + 1) - 9/196*(33*(-2*x + 1)^(3/2) - 79*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2114,1,132,0,1.235392," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","\frac{625}{121} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{20070}{2401} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{32}{26411 \, \sqrt{-2 \, x + 1}} + \frac{9 \, {\left(12213 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 57806 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 68453 \, \sqrt{-2 \, x + 1}\right)}}{9604 \, {\left(3 \, x + 2\right)}^{3}}"," ",0,"625/121*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 20070/2401*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 32/26411/sqrt(-2*x + 1) + 9/9604*(12213*(2*x - 1)^2*sqrt(-2*x + 1) - 57806*(-2*x + 1)^(3/2) + 68453*sqrt(-2*x + 1))/(3*x + 2)^3","A",0
2115,1,118,0,1.323985," ","integrate((2+3*x)^6/(1-2*x)^(3/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{729}{2800} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + \frac{2187}{625} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{105057}{5000} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{201}{20796875} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{315684}{3125} \, \sqrt{-2 \, x + 1} - \frac{1838265657 \, x + 1102959359}{3025000 \, {\left(5 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 11 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"729/2800*(2*x - 1)^3*sqrt(-2*x + 1) + 2187/625*(2*x - 1)^2*sqrt(-2*x + 1) - 105057/5000*(-2*x + 1)^(3/2) + 201/20796875*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 315684/3125*sqrt(-2*x + 1) - 1/3025000*(1838265657*x + 1102959359)/(5*(-2*x + 1)^(3/2) - 11*sqrt(-2*x + 1))","A",0
2116,1,102,0,1.292674," ","integrate((2+3*x)^5/(1-2*x)^(3/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{243}{1000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{2943}{1000} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{168}{4159375} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{107109}{5000} \, \sqrt{-2 \, x + 1} - \frac{52521891 \, x + 31513117}{302500 \, {\left(5 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 11 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"243/1000*(2*x - 1)^2*sqrt(-2*x + 1) - 2943/1000*(-2*x + 1)^(3/2) + 168/4159375*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 107109/5000*sqrt(-2*x + 1) - 1/302500*(52521891*x + 31513117)/(5*(-2*x + 1)^(3/2) - 11*sqrt(-2*x + 1))","A",0
2117,1,86,0,1.260752," ","integrate((2+3*x)^4/(1-2*x)^(3/2)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{27}{100} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{27}{166375} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{999}{250} \, \sqrt{-2 \, x + 1} - \frac{1500633 \, x + 900371}{30250 \, {\left(5 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 11 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"-27/100*(-2*x + 1)^(3/2) + 27/166375*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 999/250*sqrt(-2*x + 1) - 1/30250*(1500633*x + 900371)/(5*(-2*x + 1)^(3/2) - 11*sqrt(-2*x + 1))","A",0
2118,1,77,0,1.319702," ","integrate((2+3*x)^3/(1-2*x)^(3/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{102}{166375} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{27}{50} \, \sqrt{-2 \, x + 1} - \frac{42879 \, x + 25723}{3025 \, {\left(5 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 11 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"102/166375*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 27/50*sqrt(-2*x + 1) - 1/3025*(42879*x + 25723)/(5*(-2*x + 1)^(3/2) - 11*sqrt(-2*x + 1))","A",0
2119,1,68,0,1.399358," ","integrate((2+3*x)^2/(1-2*x)^(3/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{69}{33275} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2 \, {\left(1227 \, x + 734\right)}}{605 \, {\left(5 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 11 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"69/33275*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 2/605*(1227*x + 734)/(5*(-2*x + 1)^(3/2) - 11*sqrt(-2*x + 1))","A",0
2120,1,68,0,1.210823," ","integrate((2+3*x)/(1-2*x)^(3/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{36}{6655} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2 \, {\left(72 \, x + 41\right)}}{121 \, {\left(5 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 11 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"36/6655*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 2/121*(72*x + 41)/(5*(-2*x + 1)^(3/2) - 11*sqrt(-2*x + 1))","A",0
2121,1,68,0,1.234299," ","integrate(1/(1-2*x)^(3/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{3}{1331} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2 \, {\left(30 \, x + 7\right)}}{121 \, {\left(5 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 11 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"3/1331*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 2/121*(30*x + 7)/(5*(-2*x + 1)^(3/2) - 11*sqrt(-2*x + 1))","A",0
2122,1,107,0,1.328971," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{150}{1331} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{9}{49} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2 \, {\left(390 \, x - 151\right)}}{847 \, {\left(5 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 11 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"-150/1331*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 9/49*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 2/847*(390*x - 151)/(5*(-2*x + 1)^(3/2) - 11*sqrt(-2*x + 1))","A",0
2123,1,132,0,1.227583," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{1575}{1331} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{657}{343} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(17415 \, {\left(2 \, x - 1\right)}^{2} + 79356 \, x - 39370\right)}}{5929 \, {\left(15 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 68 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 77 \, \sqrt{-2 \, x + 1}\right)}}"," ",0,"-1575/1331*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 657/343*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 4/5929*(17415*(2*x - 1)^2 + 79356*x - 39370)/(15*(2*x - 1)^2*sqrt(-2*x + 1) - 68*(-2*x + 1)^(3/2) + 77*sqrt(-2*x + 1))","A",0
2124,1,135,0,1.309653," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{12000}{1331} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{70065}{4802} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2 \, {\left(428910 \, x - 214279\right)}}{41503 \, {\left(5 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 11 \, \sqrt{-2 \, x + 1}\right)}} + \frac{27 \, {\left(63 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 149 \, \sqrt{-2 \, x + 1}\right)}}{196 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-12000/1331*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 70065/4802*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 2/41503*(428910*x - 214279)/(5*(-2*x + 1)^(3/2) - 11*sqrt(-2*x + 1)) + 27/196*(63*(-2*x + 1)^(3/2) - 149*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2125,1,111,0,1.324449," ","integrate((2+3*x)^6/(1-2*x)^(3/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{729}{5000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - \frac{8991}{5000} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{33873}{457531250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{333639}{25000} \, \sqrt{-2 \, x + 1} + \frac{117649}{10648 \, \sqrt{-2 \, x + 1}} + \frac{403 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 891 \, \sqrt{-2 \, x + 1}}{3327500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"729/5000*(2*x - 1)^2*sqrt(-2*x + 1) - 8991/5000*(-2*x + 1)^(3/2) + 33873/457531250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 333639/25000*sqrt(-2*x + 1) + 117649/10648/sqrt(-2*x + 1) + 1/3327500*(403*(-2*x + 1)^(3/2) - 891*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2126,1,95,0,1.301517," ","integrate((2+3*x)^5/(1-2*x)^(3/2)/(3+5*x)^3,x, algorithm=""giac"")","-\frac{81}{500} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{4557}{18301250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1539}{625} \, \sqrt{-2 \, x + 1} + \frac{16807}{5324 \, \sqrt{-2 \, x + 1}} + \frac{1685 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 3729 \, \sqrt{-2 \, x + 1}}{3327500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"-81/500*(-2*x + 1)^(3/2) + 4557/18301250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 1539/625*sqrt(-2*x + 1) + 16807/5324/sqrt(-2*x + 1) + 1/3327500*(1685*(-2*x + 1)^(3/2) - 3729*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2127,1,86,0,1.309849," ","integrate((2+3*x)^4/(1-2*x)^(3/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{111}{146410} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{81}{250} \, \sqrt{-2 \, x + 1} + \frac{2401}{2662 \, \sqrt{-2 \, x + 1}} + \frac{1355 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 3003 \, \sqrt{-2 \, x + 1}}{665500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"111/146410*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 81/250*sqrt(-2*x + 1) + 2401/2662/sqrt(-2*x + 1) + 1/665500*(1355*(-2*x + 1)^(3/2) - 3003*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2128,1,77,0,1.267076," ","integrate((2+3*x)^3/(1-2*x)^(3/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{7143}{3660250} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{343}{1331 \, \sqrt{-2 \, x + 1}} + \frac{1025 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 2277 \, \sqrt{-2 \, x + 1}}{133100 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"7143/3660250*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 343/1331/sqrt(-2*x + 1) + 1/133100*(1025*(-2*x + 1)^(3/2) - 2277*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2129,1,77,0,1.289341," ","integrate((2+3*x)^2/(1-2*x)^(3/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{2589}{732050} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{98}{1331 \, \sqrt{-2 \, x + 1}} + \frac{695 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1551 \, \sqrt{-2 \, x + 1}}{26620 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"2589/732050*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 98/1331/sqrt(-2*x + 1) + 1/26620*(695*(-2*x + 1)^(3/2) - 1551*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2130,1,77,0,1.198657," ","integrate((2+3*x)/(1-2*x)^(3/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{213}{146410} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{28}{1331 \, \sqrt{-2 \, x + 1}} + \frac{5 \, {\left(73 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 165 \, \sqrt{-2 \, x + 1}\right)}}{5324 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"213/146410*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 28/1331/sqrt(-2*x + 1) + 5/5324*(73*(-2*x + 1)^(3/2) - 165*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2131,1,77,0,1.236559," ","integrate(1/(1-2*x)^(3/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{15}{29282} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{8}{1331 \, \sqrt{-2 \, x + 1}} + \frac{5 \, {\left(35 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 99 \, \sqrt{-2 \, x + 1}\right)}}{5324 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"15/29282*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 8/1331/sqrt(-2*x + 1) + 5/5324*(35*(-2*x + 1)^(3/2) - 99*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2132,1,116,0,1.243800," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{9975}{29282} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{27}{49} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{16}{9317 \, \sqrt{-2 \, x + 1}} - \frac{25 \, {\left(295 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 627 \, \sqrt{-2 \, x + 1}\right)}}{5324 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"9975/29282*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 27/49*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 16/9317/sqrt(-2*x + 1) - 25/5324*(295*(-2*x + 1)^(3/2) - 627*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2133,1,135,0,1.316247," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{153825}{29282} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2916}{343} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2 \, {\left(215526 \, x - 107875\right)}}{65219 \, {\left(3 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 7 \, \sqrt{-2 \, x + 1}\right)}} - \frac{125 \, {\left(625 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1353 \, \sqrt{-2 \, x + 1}\right)}}{5324 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"153825/29282*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 2916/343*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 2/65219*(215526*x - 107875)/(3*(-2*x + 1)^(3/2) - 7*sqrt(-2*x + 1)) - 125/5324*(625*(-2*x + 1)^(3/2) - 1353*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2134,1,157,0,1.306296," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{1561125}{29282} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{414315}{4802} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{64}{456533 \, \sqrt{-2 \, x + 1}} + \frac{2 \, {\left(256941225 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 1747282440 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 3958787399 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 2988341532 \, \sqrt{-2 \, x + 1}\right)}}{65219 \, {\left(15 \, {\left(2 \, x - 1\right)}^{2} + 136 \, x + 9\right)}^{2}}"," ",0,"1561125/29282*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 414315/4802*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 64/456533/sqrt(-2*x + 1) + 2/65219*(256941225*(2*x - 1)^3*sqrt(-2*x + 1) + 1747282440*(2*x - 1)^2*sqrt(-2*x + 1) - 3958787399*(-2*x + 1)^(3/2) + 2988341532*sqrt(-2*x + 1))/(15*(2*x - 1)^2 + 136*x + 9)^2","A",0
2135,1,88,0,1.266722," ","integrate((2+3*x)^5*(3+5*x)/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{135}{64} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{1053}{28} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{19467}{64} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{12495}{8} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{519645}{64} \, \sqrt{-2 \, x + 1} - \frac{2401 \, {\left(1200 \, x - 523\right)}}{192 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-135/64*(2*x - 1)^4*sqrt(-2*x + 1) - 1053/28*(2*x - 1)^3*sqrt(-2*x + 1) - 19467/64*(2*x - 1)^2*sqrt(-2*x + 1) + 12495/8*(-2*x + 1)^(3/2) - 519645/64*sqrt(-2*x + 1) - 2401/192*(1200*x - 523)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2136,1,72,0,1.214281," ","integrate((2+3*x)^4*(3+5*x)/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{405}{224} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{4671}{160} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{3591}{16} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{24843}{16} \, \sqrt{-2 \, x + 1} - \frac{343 \, {\left(501 \, x - 212\right)}}{48 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-405/224*(2*x - 1)^3*sqrt(-2*x + 1) - 4671/160*(2*x - 1)^2*sqrt(-2*x + 1) + 3591/16*(-2*x + 1)^(3/2) - 24843/16*sqrt(-2*x + 1) - 343/48*(501*x - 212)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2137,1,56,0,1.237590," ","integrate((2+3*x)^3*(3+5*x)/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{27}{16} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{207}{8} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{1071}{4} \, \sqrt{-2 \, x + 1} - \frac{49 \, {\left(804 \, x - 325\right)}}{48 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-27/16*(2*x - 1)^2*sqrt(-2*x + 1) + 207/8*(-2*x + 1)^(3/2) - 1071/4*sqrt(-2*x + 1) - 49/48*(804*x - 325)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2138,1,40,0,1.237558," ","integrate((2+3*x)^2*(3+5*x)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{15}{8} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{309}{8} \, \sqrt{-2 \, x + 1} - \frac{7 \, {\left(303 \, x - 113\right)}}{12 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"15/8*(-2*x + 1)^(3/2) - 309/8*sqrt(-2*x + 1) - 7/12*(303*x - 113)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2139,1,31,0,1.192950," ","integrate((2+3*x)*(3+5*x)/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{15}{4} \, \sqrt{-2 \, x + 1} - \frac{408 \, x - 127}{12 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-15/4*sqrt(-2*x + 1) - 1/12*(408*x - 127)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2140,1,21,0,1.247341," ","integrate((3+5*x)/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{15 \, x - 2}{3 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-1/3*(15*x - 2)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2141,1,61,0,1.291447," ","integrate((3+5*x)/(1-2*x)^(5/2)/(2+3*x),x, algorithm=""giac"")","-\frac{1}{343} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{12 \, x + 71}{147 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-1/343*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 1/147*(12*x + 71)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2142,1,77,0,1.258066," ","integrate((3+5*x)/(1-2*x)^(5/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{30}{2401} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(93 \, x - 85\right)}}{1029 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{3 \, \sqrt{-2 \, x + 1}}{343 \, {\left(3 \, x + 2\right)}}"," ",0,"30/2401*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 4/1029*(93*x - 85)/((2*x - 1)*sqrt(-2*x + 1)) + 3/343*sqrt(-2*x + 1)/(3*x + 2)","A",0
2143,1,89,0,1.140073," ","integrate((3+5*x)/(1-2*x)^(5/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{45}{4802} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(384 \, x - 269\right)}}{7203 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{9 \, {\left(59 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 133 \, \sqrt{-2 \, x + 1}\right)}}{9604 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"45/4802*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 4/7203*(384*x - 269)/((2*x - 1)*sqrt(-2*x + 1)) + 9/9604*(59*(-2*x + 1)^(3/2) - 133*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2144,1,95,0,1.244326," ","integrate((3+5*x)/(1-2*x)^(5/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{80}{16807} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{8 \, {\left(1620 \, {\left(2 \, x - 1\right)}^{4} + 10080 \, {\left(2 \, x - 1\right)}^{3} + 19404 \, {\left(2 \, x - 1\right)}^{2} + 18816 \, x - 13181\right)}}{7203 \, {\left(3 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 7 \, \sqrt{-2 \, x + 1}\right)}^{3}}"," ",0,"80/16807*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 8/7203*(1620*(2*x - 1)^4 + 10080*(2*x - 1)^3 + 19404*(2*x - 1)^2 + 18816*x - 13181)/(3*(-2*x + 1)^(3/2) - 7*sqrt(-2*x + 1))^3","A",0
2145,1,121,0,1.303619," ","integrate((3+5*x)/(1-2*x)^(5/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{1935}{941192} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{16 \, {\left(780 \, x - 467\right)}}{352947 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{3 \, {\left(141075 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 1076607 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 2765805 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 2378705 \, \sqrt{-2 \, x + 1}\right)}}{7529536 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"1935/941192*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 16/352947*(780*x - 467)/((2*x - 1)*sqrt(-2*x + 1)) - 3/7529536*(141075*(2*x - 1)^3*sqrt(-2*x + 1) + 1076607*(2*x - 1)^2*sqrt(-2*x + 1) - 2765805*(-2*x + 1)^(3/2) + 2378705*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
2146,1,104,0,1.255105," ","integrate((2+3*x)^5*(3+5*x)^2/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{6075}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{10845}{128} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{672003}{896} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{514017}{128} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{1965635}{128} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{8117095}{128} \, \sqrt{-2 \, x + 1} - \frac{26411 \, {\left(705 \, x - 314\right)}}{192 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-6075/1408*(2*x - 1)^5*sqrt(-2*x + 1) - 10845/128*(2*x - 1)^4*sqrt(-2*x + 1) - 672003/896*(2*x - 1)^3*sqrt(-2*x + 1) - 514017/128*(2*x - 1)^2*sqrt(-2*x + 1) + 1965635/128*(-2*x + 1)^(3/2) - 8117095/128*sqrt(-2*x + 1) - 26411/192*(705*x - 314)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2147,1,88,0,1.230124," ","integrate((2+3*x)^4*(3+5*x)^2/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{225}{64} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{13905}{224} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{159111}{320} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{40453}{16} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{832951}{64} \, \sqrt{-2 \, x + 1} - \frac{3773 \, {\left(1212 \, x - 529\right)}}{192 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-225/64*(2*x - 1)^4*sqrt(-2*x + 1) - 13905/224*(2*x - 1)^3*sqrt(-2*x + 1) - 159111/320*(2*x - 1)^2*sqrt(-2*x + 1) + 40453/16*(-2*x + 1)^(3/2) - 832951/64*sqrt(-2*x + 1) - 3773/192*(1212*x - 529)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2148,1,72,0,1.249650," ","integrate((2+3*x)^3*(3+5*x)^2/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{675}{224} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{1539}{32} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{5847}{16} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{39977}{16} \, \sqrt{-2 \, x + 1} - \frac{539 \, {\left(507 \, x - 215\right)}}{48 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-675/224*(2*x - 1)^3*sqrt(-2*x + 1) - 1539/32*(2*x - 1)^2*sqrt(-2*x + 1) + 5847/16*(-2*x + 1)^(3/2) - 39977/16*sqrt(-2*x + 1) - 539/48*(507*x - 215)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2149,1,56,0,1.243145," ","integrate((2+3*x)^2*(3+5*x)^2/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{45}{16} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{85}{2} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{3467}{8} \, \sqrt{-2 \, x + 1} - \frac{77 \, {\left(816 \, x - 331\right)}}{48 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-45/16*(2*x - 1)^2*sqrt(-2*x + 1) + 85/2*(-2*x + 1)^(3/2) - 3467/8*sqrt(-2*x + 1) - 77/48*(816*x - 331)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2150,1,40,0,1.199478," ","integrate((2+3*x)*(3+5*x)^2/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{25}{8} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{505}{8} \, \sqrt{-2 \, x + 1} - \frac{11 \, {\left(309 \, x - 116\right)}}{12 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"25/8*(-2*x + 1)^(3/2) - 505/8*sqrt(-2*x + 1) - 11/12*(309*x - 116)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2151,1,31,0,1.215330," ","integrate((3+5*x)^2/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{25}{4} \, \sqrt{-2 \, x + 1} - \frac{11 \, {\left(60 \, x - 19\right)}}{12 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-25/4*sqrt(-2*x + 1) - 11/12*(60*x - 19)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2152,1,61,0,1.286373," ","integrate((3+5*x)^2/(1-2*x)^(5/2)/(2+3*x),x, algorithm=""giac"")","\frac{1}{1029} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{11 \, {\left(111 \, x - 17\right)}}{147 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"1/1029*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 11/147*(111*x - 17)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2153,1,77,0,1.263947," ","integrate((3+5*x)^2/(1-2*x)^(5/2)/(2+3*x)^2,x, algorithm=""giac"")","-\frac{65}{7203} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{11 \, {\left(24 \, x + 65\right)}}{1029 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{\sqrt{-2 \, x + 1}}{343 \, {\left(3 \, x + 2\right)}}"," ",0,"-65/7203*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 11/1029*(24*x + 65)/((2*x - 1)*sqrt(-2*x + 1)) - 1/343*sqrt(-2*x + 1)/(3*x + 2)","A",0
2154,1,89,0,1.250244," ","integrate((3+5*x)^2/(1-2*x)^(5/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{85}{4802} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{44 \, {\left(87 \, x - 82\right)}}{7203 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{387 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 889 \, \sqrt{-2 \, x + 1}}{9604 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"85/4802*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 44/7203*(87*x - 82)/((2*x - 1)*sqrt(-2*x + 1)) - 1/9604*(387*(-2*x + 1)^(3/2) - 889*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2155,1,95,0,1.287656," ","integrate((3+5*x)^2/(1-2*x)^(5/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{1415}{100842} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{38205 \, {\left(2 \, x - 1\right)}^{4} + 237720 \, {\left(2 \, x - 1\right)}^{3} + 457611 \, {\left(2 \, x - 1\right)}^{2} + 375144 \, x - 353584}{7203 \, {\left(3 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 7 \, \sqrt{-2 \, x + 1}\right)}^{3}}"," ",0,"1415/100842*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1/7203*(38205*(2*x - 1)^4 + 237720*(2*x - 1)^3 + 457611*(2*x - 1)^2 + 375144*x - 353584)/(3*(-2*x + 1)^(3/2) - 7*sqrt(-2*x + 1))^3","A",0
2156,1,121,0,1.246403," ","integrate((3+5*x)^2/(1-2*x)^(5/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{20465}{2823576} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{176 \, {\left(285 \, x - 181\right)}}{352947 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{1159245 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 8543073 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 20832595 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 16829295 \, \sqrt{-2 \, x + 1}}{7529536 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"20465/2823576*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 176/352947*(285*x - 181)/((2*x - 1)*sqrt(-2*x + 1)) - 1/7529536*(1159245*(2*x - 1)^3*sqrt(-2*x + 1) + 8543073*(2*x - 1)^2*sqrt(-2*x + 1) - 20832595*(-2*x + 1)^(3/2) + 16829295*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
2157,1,120,0,1.243773," ","integrate((2+3*x)^5*(3+5*x)^3/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{30375}{3328} \, {\left(2 \, x - 1\right)}^{6} \sqrt{-2 \, x + 1} - \frac{277425}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{246315}{128} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{10121229}{896} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{2887773}{64} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{52725715}{384} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{60160485}{128} \, \sqrt{-2 \, x + 1} - \frac{290521 \, {\left(1620 \, x - 733\right)}}{768 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-30375/3328*(2*x - 1)^6*sqrt(-2*x + 1) - 277425/1408*(2*x - 1)^5*sqrt(-2*x + 1) - 246315/128*(2*x - 1)^4*sqrt(-2*x + 1) - 10121229/896*(2*x - 1)^3*sqrt(-2*x + 1) - 2887773/64*(2*x - 1)^2*sqrt(-2*x + 1) + 52725715/384*(-2*x + 1)^(3/2) - 60160485/128*sqrt(-2*x + 1) - 290521/768*(1620*x - 733)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2158,1,104,0,1.312387," ","integrate((2+3*x)^4*(3+5*x)^3/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{10125}{1408} \, {\left(2 \, x - 1\right)}^{5} \sqrt{-2 \, x + 1} - \frac{17925}{128} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{1101465}{896} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{4177401}{640} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{9504551}{384} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{12973191}{128} \, \sqrt{-2 \, x + 1} - \frac{41503 \, {\left(711 \, x - 317\right)}}{192 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-10125/1408*(2*x - 1)^5*sqrt(-2*x + 1) - 17925/128*(2*x - 1)^4*sqrt(-2*x + 1) - 1101465/896*(2*x - 1)^3*sqrt(-2*x + 1) - 4177401/640*(2*x - 1)^2*sqrt(-2*x + 1) + 9504551/384*(-2*x + 1)^(3/2) - 12973191/128*sqrt(-2*x + 1) - 41503/192*(711*x - 317)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2159,1,88,0,1.284832," ","integrate((2+3*x)^3*(3+5*x)^3/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{375}{64} \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} - \frac{11475}{112} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{52011}{64} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{98209}{24} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{1334949}{64} \, \sqrt{-2 \, x + 1} - \frac{5929 \, {\left(1224 \, x - 535\right)}}{192 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-375/64*(2*x - 1)^4*sqrt(-2*x + 1) - 11475/112*(2*x - 1)^3*sqrt(-2*x + 1) - 52011/64*(2*x - 1)^2*sqrt(-2*x + 1) + 98209/24*(-2*x + 1)^(3/2) - 1334949/64*sqrt(-2*x + 1) - 5929/192*(1224*x - 535)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2160,1,72,0,1.258577," ","integrate((2+3*x)^2*(3+5*x)^3/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{1125}{224} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{2535}{32} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{28555}{48} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{64317}{16} \, \sqrt{-2 \, x + 1} - \frac{847 \, {\left(513 \, x - 218\right)}}{48 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-1125/224*(2*x - 1)^3*sqrt(-2*x + 1) - 2535/32*(2*x - 1)^2*sqrt(-2*x + 1) + 28555/48*(-2*x + 1)^(3/2) - 64317/16*sqrt(-2*x + 1) - 847/48*(513*x - 218)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2161,1,56,0,1.192937," ","integrate((2+3*x)*(3+5*x)^3/(1-2*x)^(5/2),x, algorithm=""giac"")","-\frac{75}{16} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{1675}{24} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{2805}{4} \, \sqrt{-2 \, x + 1} - \frac{121 \, {\left(828 \, x - 337\right)}}{48 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-75/16*(2*x - 1)^2*sqrt(-2*x + 1) + 1675/24*(-2*x + 1)^(3/2) - 2805/4*sqrt(-2*x + 1) - 121/48*(828*x - 337)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2162,1,40,0,1.233642," ","integrate((3+5*x)^3/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{125}{24} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - \frac{825}{8} \, \sqrt{-2 \, x + 1} - \frac{121 \, {\left(45 \, x - 17\right)}}{12 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"125/24*(-2*x + 1)^(3/2) - 825/8*sqrt(-2*x + 1) - 121/12*(45*x - 17)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2163,1,70,0,1.342855," ","integrate((3+5*x)^3/(1-2*x)^(5/2)/(2+3*x),x, algorithm=""giac"")","-\frac{1}{3087} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{125}{12} \, \sqrt{-2 \, x + 1} - \frac{121 \, {\left(432 \, x - 139\right)}}{588 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-1/3087*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 125/12*sqrt(-2*x + 1) - 121/588*(432*x - 139)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2164,1,77,0,1.359288," ","integrate((3+5*x)^3/(1-2*x)^(5/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{100}{21609} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{121 \, {\left(117 \, x - 20\right)}}{1029 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{\sqrt{-2 \, x + 1}}{1029 \, {\left(3 \, x + 2\right)}}"," ",0,"100/21609*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 121/1029*(117*x - 20)/((2*x - 1)*sqrt(-2*x + 1)) + 1/1029*sqrt(-2*x + 1)/(3*x + 2)","A",0
2165,1,89,0,1.360204," ","integrate((3+5*x)^3/(1-2*x)^(5/2)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{905}{43218} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{121 \, {\left(36 \, x + 59\right)}}{7203 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{597 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1379 \, \sqrt{-2 \, x + 1}}{28812 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-905/43218*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 121/7203*(36*x + 59)/((2*x - 1)*sqrt(-2*x + 1)) + 1/28812*(597*(-2*x + 1)^(3/2) - 1379*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2166,1,95,0,1.383887," ","integrate((3+5*x)^3/(1-2*x)^(5/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{3755}{151263} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2 \, {\left(33795 \, {\left(2 \, x - 1\right)}^{4} + 210280 \, {\left(2 \, x - 1\right)}^{3} + 344764 \, {\left(2 \, x - 1\right)}^{2} - 213444 \, x - 349811\right)}}{7203 \, {\left(3 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 7 \, \sqrt{-2 \, x + 1}\right)}^{3}}"," ",0,"3755/151263*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 2/7203*(33795*(2*x - 1)^4 + 210280*(2*x - 1)^3 + 344764*(2*x - 1)^2 - 213444*x - 349811)/(3*(-2*x + 1)^(3/2) - 7*sqrt(-2*x + 1))^3","A",0
2167,1,121,0,1.306410," ","integrate((3+5*x)^3/(1-2*x)^(5/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{177635}{8470728} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{484 \, {\left(360 \, x - 257\right)}}{352947 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{5346135 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 35859747 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 80180905 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 59762605 \, \sqrt{-2 \, x + 1}}{22588608 \, {\left(3 \, x + 2\right)}^{4}}"," ",0,"177635/8470728*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 484/352947*(360*x - 257)/((2*x - 1)*sqrt(-2*x + 1)) - 1/22588608*(5346135*(2*x - 1)^3*sqrt(-2*x + 1) + 35859747*(2*x - 1)^2*sqrt(-2*x + 1) - 80180905*(-2*x + 1)^(3/2) + 59762605*sqrt(-2*x + 1))/(3*x + 2)^4","A",0
2168,1,137,0,1.281075," ","integrate((3+5*x)^3/(1-2*x)^(5/2)/(2+3*x)^6,x, algorithm=""giac"")","\frac{81737}{7411887} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{1936 \, {\left(279 \, x - 178\right)}}{2470629 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{67655655 \, {\left(2 \, x - 1\right)}^{4} \sqrt{-2 \, x + 1} + 654366510 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 2361386244 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 3770746490 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 2249364845 \, \sqrt{-2 \, x + 1}}{197650320 \, {\left(3 \, x + 2\right)}^{5}}"," ",0,"81737/7411887*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 1936/2470629*(279*x - 178)/((2*x - 1)*sqrt(-2*x + 1)) - 1/197650320*(67655655*(2*x - 1)^4*sqrt(-2*x + 1) + 654366510*(2*x - 1)^3*sqrt(-2*x + 1) + 2361386244*(2*x - 1)^2*sqrt(-2*x + 1) - 3770746490*(-2*x + 1)^(3/2) + 2249364845*sqrt(-2*x + 1))/(3*x + 2)^5","A",0
2169,1,111,0,1.499128," ","integrate((2+3*x)^6/(1-2*x)^(5/2)/(3+5*x),x, algorithm=""giac"")","-\frac{729}{1120} \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} - \frac{43011}{4000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{169209}{2000} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{4159375} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{5992353}{10000} \, \sqrt{-2 \, x + 1} - \frac{16807 \, {\left(489 \, x - 206\right)}}{5808 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-729/1120*(2*x - 1)^3*sqrt(-2*x + 1) - 43011/4000*(2*x - 1)^2*sqrt(-2*x + 1) + 169209/2000*(-2*x + 1)^(3/2) + 1/4159375*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 5992353/10000*sqrt(-2*x + 1) - 16807/5808*(489*x - 206)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2170,1,95,0,1.814156," ","integrate((2+3*x)^5/(1-2*x)^(5/2)/(3+5*x),x, algorithm=""giac"")","-\frac{243}{400} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{1917}{200} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{831875} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{51057}{500} \, \sqrt{-2 \, x + 1} - \frac{2401 \, {\left(780 \, x - 313\right)}}{5808 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-243/400*(2*x - 1)^2*sqrt(-2*x + 1) + 1917/200*(-2*x + 1)^(3/2) + 1/831875*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 51057/500*sqrt(-2*x + 1) - 2401/5808*(780*x - 313)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2171,1,79,0,1.645527," ","integrate((2+3*x)^4/(1-2*x)^(5/2)/(3+5*x),x, algorithm=""giac"")","\frac{27}{40} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{1}{166375} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{2889}{200} \, \sqrt{-2 \, x + 1} - \frac{343 \, {\left(291 \, x - 107\right)}}{1452 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"27/40*(-2*x + 1)^(3/2) + 1/166375*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 2889/200*sqrt(-2*x + 1) - 343/1452*(291*x - 107)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2172,1,70,0,1.538929," ","integrate((2+3*x)^3/(1-2*x)^(5/2)/(3+5*x),x, algorithm=""giac"")","\frac{1}{33275} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{27}{20} \, \sqrt{-2 \, x + 1} - \frac{49 \, {\left(384 \, x - 115\right)}}{1452 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"1/33275*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 27/20*sqrt(-2*x + 1) - 49/1452*(384*x - 115)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2173,1,61,0,1.597482," ","integrate((2+3*x)^2/(1-2*x)^(5/2)/(3+5*x),x, algorithm=""giac"")","\frac{1}{6655} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{7 \, {\left(93 \, x - 8\right)}}{363 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"1/6655*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 7/363*(93*x - 8)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2174,1,61,0,1.249968," ","integrate((2+3*x)/(1-2*x)^(5/2)/(3+5*x),x, algorithm=""giac"")","\frac{1}{1331} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{12 \, x - 83}{363 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"1/1331*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 1/363*(12*x - 83)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2175,1,61,0,1.278218," ","integrate(1/(1-2*x)^(5/2)/(3+5*x),x, algorithm=""giac"")","\frac{5}{1331} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(15 \, x - 13\right)}}{363 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"5/1331*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 4/363*(15*x - 13)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2176,1,100,0,1.255256," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)/(3+5*x),x, algorithm=""giac"")","\frac{25}{1331} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{9}{343} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(408 \, x - 281\right)}}{17787 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"25/1331*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 9/343*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 4/17787*(408*x - 281)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2177,1,116,0,1.247434," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^2/(3+5*x),x, algorithm=""giac"")","\frac{125}{1331} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{360}{2401} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{16 \, {\left(303 \, x - 190\right)}}{124509 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{27 \, \sqrt{-2 \, x + 1}}{343 \, {\left(3 \, x + 2\right)}}"," ",0,"125/1331*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 360/2401*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 16/124509*(303*x - 190)/((2*x - 1)*sqrt(-2*x + 1)) + 27/343*sqrt(-2*x + 1)/(3*x + 2)","A",0
2178,1,128,0,1.262676," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^3/(3+5*x),x, algorithm=""giac"")","\frac{625}{1331} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{3645}{4802} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{16 \, {\left(804 \, x - 479\right)}}{871563 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{27 \, {\left(243 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 581 \, \sqrt{-2 \, x + 1}\right)}}{9604 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"625/1331*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 3645/4802*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 16/871563*(804*x - 479)/((2*x - 1)*sqrt(-2*x + 1)) - 27/9604*(243*(-2*x + 1)^(3/2) - 581*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2179,1,134,0,1.224518," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^4/(3+5*x),x, algorithm=""giac"")","\frac{3125}{1331} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{63855}{16807} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{4 \, {\left(9044865 \, {\left(2 \, x - 1\right)}^{4} + 42773535 \, {\left(2 \, x - 1\right)}^{3} + 50533308 \, {\left(2 \, x - 1\right)}^{2} - 315168 \, x + 187768\right)}}{871563 \, {\left(3 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 7 \, \sqrt{-2 \, x + 1}\right)}^{3}}"," ",0,"3125/1331*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 63855/16807*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) - 4/871563*(9044865*(2*x - 1)^4 + 42773535*(2*x - 1)^3 + 50533308*(2*x - 1)^2 - 315168*x + 187768)/(3*(-2*x + 1)^(3/2) - 7*sqrt(-2*x + 1))^3","A",0
2180,1,111,0,1.321241," ","integrate((2+3*x)^6/(1-2*x)^(5/2)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{729}{2000} \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} + \frac{729}{125} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{203}{45753125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{315171}{5000} \, \sqrt{-2 \, x + 1} - \frac{16807 \, {\left(768 \, x - 307\right)}}{63888 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{\sqrt{-2 \, x + 1}}{831875 \, {\left(5 \, x + 3\right)}}"," ",0,"-729/2000*(2*x - 1)^2*sqrt(-2*x + 1) + 729/125*(-2*x + 1)^(3/2) + 203/45753125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 315171/5000*sqrt(-2*x + 1) - 16807/63888*(768*x - 307)/((2*x - 1)*sqrt(-2*x + 1)) - 1/831875*sqrt(-2*x + 1)/(5*x + 3)","A",0
2181,1,95,0,1.285984," ","integrate((2+3*x)^5/(1-2*x)^(5/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{81}{200} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{34}{1830125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{8829}{1000} \, \sqrt{-2 \, x + 1} - \frac{2401 \, {\left(285 \, x - 104\right)}}{15972 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{\sqrt{-2 \, x + 1}}{166375 \, {\left(5 \, x + 3\right)}}"," ",0,"81/200*(-2*x + 1)^(3/2) + 34/1830125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 8829/1000*sqrt(-2*x + 1) - 2401/15972*(285*x - 104)/((2*x - 1)*sqrt(-2*x + 1)) - 1/166375*sqrt(-2*x + 1)/(5*x + 3)","A",0
2182,1,86,0,1.264040," ","integrate((2+3*x)^4/(1-2*x)^(5/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{137}{1830125} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{81}{100} \, \sqrt{-2 \, x + 1} - \frac{343 \, {\left(372 \, x - 109\right)}}{15972 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{\sqrt{-2 \, x + 1}}{33275 \, {\left(5 \, x + 3\right)}}"," ",0,"137/1830125*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 81/100*sqrt(-2*x + 1) - 343/15972*(372*x - 109)/((2*x - 1)*sqrt(-2*x + 1)) - 1/33275*sqrt(-2*x + 1)/(5*x + 3)","A",0
2183,1,77,0,1.299481," ","integrate((2+3*x)^3/(1-2*x)^(5/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{104}{366025} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{49 \, {\left(87 \, x - 5\right)}}{3993 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{\sqrt{-2 \, x + 1}}{6655 \, {\left(5 \, x + 3\right)}}"," ",0,"104/366025*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 49/3993*(87*x - 5)/((2*x - 1)*sqrt(-2*x + 1)) - 1/6655*sqrt(-2*x + 1)/(5*x + 3)","A",0
2184,1,77,0,1.326309," ","integrate((2+3*x)^2/(1-2*x)^(5/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{71}{73205} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{7 \, {\left(24 \, x - 89\right)}}{3993 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{\sqrt{-2 \, x + 1}}{1331 \, {\left(5 \, x + 3\right)}}"," ",0,"71/73205*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 7/3993*(24*x - 89)/((2*x - 1)*sqrt(-2*x + 1)) - 1/1331*sqrt(-2*x + 1)/(5*x + 3)","A",0
2185,1,77,0,1.277284," ","integrate((2+3*x)/(1-2*x)^(5/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{38}{14641} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(111 \, x - 94\right)}}{3993 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{5 \, \sqrt{-2 \, x + 1}}{1331 \, {\left(5 \, x + 3\right)}}"," ",0,"38/14641*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 4/3993*(111*x - 94)/((2*x - 1)*sqrt(-2*x + 1)) - 5/1331*sqrt(-2*x + 1)/(5*x + 3)","A",0
2186,1,77,0,1.211039," ","integrate(1/(1-2*x)^(5/2)/(3+5*x)^2,x, algorithm=""giac"")","\frac{25}{14641} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(60 \, x - 41\right)}}{3993 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{25 \, \sqrt{-2 \, x + 1}}{1331 \, {\left(5 \, x + 3\right)}}"," ",0,"25/14641*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 4/3993*(60*x - 41)/((2*x - 1)*sqrt(-2*x + 1)) - 25/1331*sqrt(-2*x + 1)/(5*x + 3)","A",0
2187,1,116,0,1.281742," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)/(3+5*x)^2,x, algorithm=""giac"")","-\frac{700}{14641} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{27}{343} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{16 \, {\left(309 \, x - 193\right)}}{195657 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{125 \, \sqrt{-2 \, x + 1}}{1331 \, {\left(5 \, x + 3\right)}}"," ",0,"-700/14641*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 27/343*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 16/195657*(309*x - 193)/((2*x - 1)*sqrt(-2*x + 1)) - 125/1331*sqrt(-2*x + 1)/(5*x + 3)","A",0
2188,1,137,0,1.330440," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^2/(3+5*x)^2,x, algorithm=""giac"")","-\frac{7625}{14641} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{2025}{2401} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(591090 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 1343273 \, \sqrt{-2 \, x + 1}\right)}}{456533 \, {\left(15 \, {\left(2 \, x - 1\right)}^{2} + 136 \, x + 9\right)}} + \frac{16 \, {\left(816 \, x - 485\right)}}{1369599 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}}"," ",0,"-7625/14641*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 2025/2401*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 4/456533*(591090*(-2*x + 1)^(3/2) - 1343273*sqrt(-2*x + 1))/(15*(2*x - 1)^2 + 136*x + 9) + 16/1369599*(816*x - 485)/((2*x - 1)*sqrt(-2*x + 1))","A",0
2189,1,144,0,1.265006," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^3/(3+5*x)^2,x, algorithm=""giac"")","-\frac{58750}{14641} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4455}{686} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{64 \, {\left(507 \, x - 292\right)}}{9587193 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{3125 \, \sqrt{-2 \, x + 1}}{1331 \, {\left(5 \, x + 3\right)}} + \frac{243 \, {\left(151 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 357 \, \sqrt{-2 \, x + 1}\right)}}{9604 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-58750/14641*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 4455/686*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 64/9587193*(507*x - 292)/((2*x - 1)*sqrt(-2*x + 1)) - 3125/1331*sqrt(-2*x + 1)/(5*x + 3) + 243/9604*(151*(-2*x + 1)^(3/2) - 357*sqrt(-2*x + 1))/(3*x + 2)^2","A",0
2190,1,107,0,1.397570," ","integrate((2+3*x)^6/(1-2*x)^(5/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{243}{1000} \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + \frac{6937}{201313750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{26973}{5000} \, \sqrt{-2 \, x + 1} - \frac{16807 \, {\left(279 \, x - 101\right)}}{175692 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{185 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 409 \, \sqrt{-2 \, x + 1}}{3327500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"243/1000*(-2*x + 1)^(3/2) + 6937/201313750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 26973/5000*sqrt(-2*x + 1) - 16807/175692*(279*x - 101)/((2*x - 1)*sqrt(-2*x + 1)) + 1/3327500*(185*(-2*x + 1)^(3/2) - 409*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2191,1,98,0,1.255675," ","integrate((2+3*x)^5/(1-2*x)^(5/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{4693}{40262750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{243}{500} \, \sqrt{-2 \, x + 1} - \frac{2401 \, {\left(360 \, x - 103\right)}}{175692 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{155 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 343 \, \sqrt{-2 \, x + 1}}{665500 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"4693/40262750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 243/500*sqrt(-2*x + 1) - 2401/175692*(360*x - 103)/((2*x - 1)*sqrt(-2*x + 1)) + 1/665500*(155*(-2*x + 1)^(3/2) - 343*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2192,1,89,0,1.347016," ","integrate((2+3*x)^4/(1-2*x)^(5/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{14423}{40262750} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{343 \, {\left(81 \, x - 2\right)}}{43923 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{125 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 277 \, \sqrt{-2 \, x + 1}}{133100 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"14423/40262750*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 343/43923*(81*x - 2)/((2*x - 1)*sqrt(-2*x + 1)) + 1/133100*(125*(-2*x + 1)^(3/2) - 277*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2193,1,89,0,1.249864," ","integrate((2+3*x)^3/(1-2*x)^(5/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{7559}{8052550} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{49 \, {\left(36 \, x - 95\right)}}{43923 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{95 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 211 \, \sqrt{-2 \, x + 1}}{26620 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"7559/8052550*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 49/43923*(36*x - 95)/((2*x - 1)*sqrt(-2*x + 1)) + 1/26620*(95*(-2*x + 1)^(3/2) - 211*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2194,1,89,0,1.251248," ","integrate((2+3*x)^2/(1-2*x)^(5/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{2873}{1610510} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{28 \, {\left(117 \, x - 97\right)}}{43923 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{5 \, {\left(13 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 29 \, \sqrt{-2 \, x + 1}\right)}}{5324 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"2873/1610510*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 28/43923*(117*x - 97)/((2*x - 1)*sqrt(-2*x + 1)) + 5/5324*(13*(-2*x + 1)^(3/2) - 29*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2195,1,89,0,1.319022," ","integrate((2+3*x)/(1-2*x)^(5/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{365}{322102} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{4 \, {\left(432 \, x - 293\right)}}{43923 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{5 \, {\left(35 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 79 \, \sqrt{-2 \, x + 1}\right)}}{5324 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"365/322102*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 4/43923*(432*x - 293)/((2*x - 1)*sqrt(-2*x + 1)) + 5/5324*(35*(-2*x + 1)^(3/2) - 79*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2196,1,89,0,1.263436," ","integrate(1/(1-2*x)^(5/2)/(3+5*x)^3,x, algorithm=""giac"")","\frac{175}{322102} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{16 \, {\left(45 \, x - 28\right)}}{43923 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{25 \, {\left(5 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 13 \, \sqrt{-2 \, x + 1}\right)}}{5324 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"175/322102*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) + 16/43923*(45*x - 28)/((2*x - 1)*sqrt(-2*x + 1)) + 25/5324*(5*(-2*x + 1)^(3/2) - 13*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2197,1,128,0,1.227696," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{47075}{322102} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{81}{343} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{16 \, {\left(828 \, x - 491\right)}}{2152227 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} - \frac{125 \, {\left(25 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 53 \, \sqrt{-2 \, x + 1}\right)}}{5324 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"47075/322102*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 81/343*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 16/2152227*(828*x - 491)/((2*x - 1)*sqrt(-2*x + 1)) - 125/5324*(25*(-2*x + 1)^(3/2) - 53*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2198,1,144,0,1.209350," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^2/(3+5*x)^3,x, algorithm=""giac"")","\frac{738625}{322102} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{8910}{2401} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{64 \, {\left(513 \, x - 295\right)}}{15065589 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{243 \, \sqrt{-2 \, x + 1}}{343 \, {\left(3 \, x + 2\right)}} - \frac{625 \, {\left(55 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} - 119 \, \sqrt{-2 \, x + 1}\right)}}{5324 \, {\left(5 \, x + 3\right)}^{2}}"," ",0,"738625/322102*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 8910/2401*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 64/15065589*(513*x - 295)/((2*x - 1)*sqrt(-2*x + 1)) + 243/343*sqrt(-2*x + 1)/(3*x + 2) - 625/5324*(55*(-2*x + 1)^(3/2) - 119*sqrt(-2*x + 1))/(5*x + 3)^2","A",0
2199,1,169,0,1.295401," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^3/(3+5*x)^3,x, algorithm=""giac"")","\frac{7570625}{322102} \, \sqrt{55} \log\left(\frac{{\left| -2 \, \sqrt{55} + 10 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{55} + 5 \, \sqrt{-2 \, x + 1}\right)}}\right) - \frac{182655}{4802} \, \sqrt{21} \log\left(\frac{{\left| -2 \, \sqrt{21} + 6 \, \sqrt{-2 \, x + 1} \right|}}{2 \, {\left(\sqrt{21} + 3 \, \sqrt{-2 \, x + 1}\right)}}\right) + \frac{64 \, {\left(1224 \, x - 689\right)}}{105459123 \, {\left(2 \, x - 1\right)} \sqrt{-2 \, x + 1}} + \frac{2 \, {\left(5550396300 \, {\left(2 \, x - 1\right)}^{3} \sqrt{-2 \, x + 1} + 37744400445 \, {\left(2 \, x - 1\right)}^{2} \sqrt{-2 \, x + 1} - 85516621432 \, {\left(-2 \, x + 1\right)}^{\frac{3}{2}} + 64553088299 \, \sqrt{-2 \, x + 1}\right)}}{3195731 \, {\left(15 \, {\left(2 \, x - 1\right)}^{2} + 136 \, x + 9\right)}^{2}}"," ",0,"7570625/322102*sqrt(55)*log(1/2*abs(-2*sqrt(55) + 10*sqrt(-2*x + 1))/(sqrt(55) + 5*sqrt(-2*x + 1))) - 182655/4802*sqrt(21)*log(1/2*abs(-2*sqrt(21) + 6*sqrt(-2*x + 1))/(sqrt(21) + 3*sqrt(-2*x + 1))) + 64/105459123*(1224*x - 689)/((2*x - 1)*sqrt(-2*x + 1)) + 2/3195731*(5550396300*(2*x - 1)^3*sqrt(-2*x + 1) + 37744400445*(2*x - 1)^2*sqrt(-2*x + 1) - 85516621432*(-2*x + 1)^(3/2) + 64553088299*sqrt(-2*x + 1))/(15*(2*x - 1)^2 + 136*x + 9)^2","A",0
2200,1,2506,0,3.843330," ","integrate((B*x+A)*(e*x+d)^(5/2)*(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{1920 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} A a d^{2} {\left| b \right|}}{b^{2}} - \frac{80 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B d^{2} {\left| b \right|}}{b} - \frac{160 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B a d {\left| b \right|} e}{b^{2}} - \frac{160 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A d {\left| b \right|} e}{b} - \frac{20 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B d {\left| b \right|} e}{b} - \frac{480 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} B a d^{2} {\left| b \right|}}{b^{3}} - \frac{480 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A d^{2} {\left| b \right|}}{b^{2}} - \frac{80 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A a {\left| b \right|} e^{2}}{b^{2}} - \frac{10 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B a {\left| b \right|} e^{2}}{b^{2}} - \frac{10 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} A {\left| b \right|} e^{2}}{b} - \frac{{\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} B {\left| b \right|} e^{2}}{b} - \frac{960 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A a d {\left| b \right|} e}{b^{3}}}{1920 \, b}"," ",0,"-1/1920*(1920*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*A*a*d^2*abs(b)/b^2 - 80*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*d^2*abs(b)/b - 160*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*a*d*abs(b)*e/b^2 - 160*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*d*abs(b)*e/b - 20*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*d*abs(b)*e/b - 480*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*B*a*d^2*abs(b)/b^3 - 480*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*d^2*abs(b)/b^2 - 80*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*a*abs(b)*e^2/b^2 - 10*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*a*abs(b)*e^2/b^2 - 10*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*A*abs(b)*e^2/b - (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*B*abs(b)*e^2/b - 960*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*a*d*abs(b)*e/b^3)/b","B",0
2201,1,1386,0,2.706312," ","integrate((B*x+A)*(e*x+d)^(3/2)*(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{192 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} A a d {\left| b \right|}}{b^{2}} - \frac{8 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B d {\left| b \right|}}{b} - \frac{8 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B a {\left| b \right|} e}{b^{2}} - \frac{8 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A {\left| b \right|} e}{b} - \frac{{\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B {\left| b \right|} e}{b} - \frac{48 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} B a d {\left| b \right|}}{b^{3}} - \frac{48 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A d {\left| b \right|}}{b^{2}} - \frac{48 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A a {\left| b \right|} e}{b^{3}}}{192 \, b}"," ",0,"-1/192*(192*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*A*a*d*abs(b)/b^2 - 8*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*d*abs(b)/b - 8*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*a*abs(b)*e/b^2 - 8*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*abs(b)*e/b - (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*abs(b)*e/b - 48*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*B*a*d*abs(b)/b^3 - 48*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*d*abs(b)/b^2 - 48*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*a*abs(b)*e/b^3)/b","B",0
2202,1,571,0,1.759149," ","integrate((B*x+A)*(b*x+a)^(1/2)*(e*x+d)^(1/2),x, algorithm=""giac"")","-\frac{\frac{24 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} A a {\left| b \right|}}{b^{2}} - \frac{{\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B {\left| b \right|}}{b} - \frac{6 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} B a {\left| b \right|}}{b^{3}} - \frac{6 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A {\left| b \right|}}{b^{2}}}{24 \, b}"," ",0,"-1/24*(24*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*A*a*abs(b)/b^2 - (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*abs(b)/b - 6*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*B*a*abs(b)/b^3 - 6*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*abs(b)/b^2)/b","B",0
2203,1,175,0,1.409374," ","integrate((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(\frac{2 \, {\left(b x + a\right)} B e^{\left(-1\right)}}{b^{2}} - \frac{{\left(3 \, B b^{3} d e + B a b^{2} e^{2} - 4 \, A b^{3} e^{2}\right)} e^{\left(-3\right)}}{b^{4}}\right)} - \frac{{\left(3 \, B b^{2} d^{2} - 2 \, B a b d e - 4 \, A b^{2} d e - B a^{2} e^{2} + 4 \, A a b e^{2}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} b}{4 \, {\left| b \right|}}"," ",0,"1/4*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*B*e^(-1)/b^2 - (3*B*b^3*d*e + B*a*b^2*e^2 - 4*A*b^3*e^2)*e^(-3)/b^4) - (3*B*b^2*d^2 - 2*B*a*b*d*e - 4*A*b^2*d*e - B*a^2*e^2 + 4*A*a*b*e^2)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*b/abs(b)","A",0
2204,1,154,0,1.573850," ","integrate((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{{\left(3 \, B b d {\left| b \right|} - B a {\left| b \right|} e - 2 \, A b {\left| b \right|} e\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}} + \frac{{\left(\frac{{\left(b x + a\right)} B {\left| b \right|} e^{\left(-1\right)}}{b} + \frac{{\left(3 \, B b^{2} d {\left| b \right|} e - B a b {\left| b \right|} e^{2} - 2 \, A b^{2} {\left| b \right|} e^{2}\right)} e^{\left(-3\right)}}{b^{2}}\right)} \sqrt{b x + a}}{\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}}"," ",0,"(3*B*b*d*abs(b) - B*a*abs(b)*e - 2*A*b*abs(b)*e)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2) + ((b*x + a)*B*abs(b)*e^(-1)/b + (3*B*b^2*d*abs(b)*e - B*a*b*abs(b)*e^2 - 2*A*b^2*abs(b)*e^2)*e^(-3)/b^2)*sqrt(b*x + a)/sqrt(b^2*d + (b*x + a)*b*e - a*b*e)","A",0
2205,1,198,0,1.811024," ","integrate((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(5/2),x, algorithm=""giac"")","-\frac{2 \, B {\left| b \right|} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(4 \, B b^{4} d {\left| b \right|} e^{2} - 3 \, B a b^{3} {\left| b \right|} e^{3} - A b^{4} {\left| b \right|} e^{3}\right)} {\left(b x + a\right)}}{b^{3} d e^{3} - a b^{2} e^{4}} + \frac{3 \, {\left(B b^{5} d^{2} {\left| b \right|} e - 2 \, B a b^{4} d {\left| b \right|} e^{2} + B a^{2} b^{3} {\left| b \right|} e^{3}\right)}}{b^{3} d e^{3} - a b^{2} e^{4}}\right)}}{3 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{3}{2}}}"," ",0,"-2*B*abs(b)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - 2/3*sqrt(b*x + a)*((4*B*b^4*d*abs(b)*e^2 - 3*B*a*b^3*abs(b)*e^3 - A*b^4*abs(b)*e^3)*(b*x + a)/(b^3*d*e^3 - a*b^2*e^4) + 3*(B*b^5*d^2*abs(b)*e - 2*B*a*b^4*d*abs(b)*e^2 + B*a^2*b^3*abs(b)*e^3)/(b^3*d*e^3 - a*b^2*e^4))/(b^2*d + (b*x + a)*b*e - a*b*e)^(3/2)","B",0
2206,1,180,0,2.117410," ","integrate((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(7/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} {\left(\frac{{\left(3 \, B b^{6} d {\left| b \right|} e^{2} - 5 \, B a b^{5} {\left| b \right|} e^{3} + 2 \, A b^{6} {\left| b \right|} e^{3}\right)} {\left(b x + a\right)}}{b^{4} d^{2} e^{2} - 2 \, a b^{3} d e^{3} + a^{2} b^{2} e^{4}} - \frac{5 \, {\left(B a b^{6} d {\left| b \right|} e^{2} - A b^{7} d {\left| b \right|} e^{2} - B a^{2} b^{5} {\left| b \right|} e^{3} + A a b^{6} {\left| b \right|} e^{3}\right)}}{b^{4} d^{2} e^{2} - 2 \, a b^{3} d e^{3} + a^{2} b^{2} e^{4}}\right)}}{15 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{5}{2}}}"," ",0,"2/15*(b*x + a)^(3/2)*((3*B*b^6*d*abs(b)*e^2 - 5*B*a*b^5*abs(b)*e^3 + 2*A*b^6*abs(b)*e^3)*(b*x + a)/(b^4*d^2*e^2 - 2*a*b^3*d*e^3 + a^2*b^2*e^4) - 5*(B*a*b^6*d*abs(b)*e^2 - A*b^7*d*abs(b)*e^2 - B*a^2*b^5*abs(b)*e^3 + A*a*b^6*abs(b)*e^3)/(b^4*d^2*e^2 - 2*a*b^3*d*e^3 + a^2*b^2*e^4))/(b^2*d + (b*x + a)*b*e - a*b*e)^(5/2)","B",0
2207,1,355,0,2.662416," ","integrate((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(b x + a\right)} {\left(\frac{2 \, {\left(3 \, B b^{8} d {\left| b \right|} e^{4} - 7 \, B a b^{7} {\left| b \right|} e^{5} + 4 \, A b^{8} {\left| b \right|} e^{5}\right)} {\left(b x + a\right)}}{b^{5} d^{3} e^{3} - 3 \, a b^{4} d^{2} e^{4} + 3 \, a^{2} b^{3} d e^{5} - a^{3} b^{2} e^{6}} + \frac{7 \, {\left(3 \, B b^{9} d^{2} {\left| b \right|} e^{3} - 10 \, B a b^{8} d {\left| b \right|} e^{4} + 4 \, A b^{9} d {\left| b \right|} e^{4} + 7 \, B a^{2} b^{7} {\left| b \right|} e^{5} - 4 \, A a b^{8} {\left| b \right|} e^{5}\right)}}{b^{5} d^{3} e^{3} - 3 \, a b^{4} d^{2} e^{4} + 3 \, a^{2} b^{3} d e^{5} - a^{3} b^{2} e^{6}}\right)} - \frac{35 \, {\left(B a b^{9} d^{2} {\left| b \right|} e^{3} - A b^{10} d^{2} {\left| b \right|} e^{3} - 2 \, B a^{2} b^{8} d {\left| b \right|} e^{4} + 2 \, A a b^{9} d {\left| b \right|} e^{4} + B a^{3} b^{7} {\left| b \right|} e^{5} - A a^{2} b^{8} {\left| b \right|} e^{5}\right)}}{b^{5} d^{3} e^{3} - 3 \, a b^{4} d^{2} e^{4} + 3 \, a^{2} b^{3} d e^{5} - a^{3} b^{2} e^{6}}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{105 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{7}{2}}}"," ",0,"2/105*((b*x + a)*(2*(3*B*b^8*d*abs(b)*e^4 - 7*B*a*b^7*abs(b)*e^5 + 4*A*b^8*abs(b)*e^5)*(b*x + a)/(b^5*d^3*e^3 - 3*a*b^4*d^2*e^4 + 3*a^2*b^3*d*e^5 - a^3*b^2*e^6) + 7*(3*B*b^9*d^2*abs(b)*e^3 - 10*B*a*b^8*d*abs(b)*e^4 + 4*A*b^9*d*abs(b)*e^4 + 7*B*a^2*b^7*abs(b)*e^5 - 4*A*a*b^8*abs(b)*e^5)/(b^5*d^3*e^3 - 3*a*b^4*d^2*e^4 + 3*a^2*b^3*d*e^5 - a^3*b^2*e^6)) - 35*(B*a*b^9*d^2*abs(b)*e^3 - A*b^10*d^2*abs(b)*e^3 - 2*B*a^2*b^8*d*abs(b)*e^4 + 2*A*a*b^9*d*abs(b)*e^4 + B*a^3*b^7*abs(b)*e^5 - A*a^2*b^8*abs(b)*e^5)/(b^5*d^3*e^3 - 3*a*b^4*d^2*e^4 + 3*a^2*b^3*d*e^5 - a^3*b^2*e^6))*(b*x + a)^(3/2)/(b^2*d + (b*x + a)*b*e - a*b*e)^(7/2)","B",0
2208,1,579,0,3.622104," ","integrate((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(11/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(B b^{10} d {\left| b \right|} e^{6} - 3 \, B a b^{9} {\left| b \right|} e^{7} + 2 \, A b^{10} {\left| b \right|} e^{7}\right)} {\left(b x + a\right)}}{b^{6} d^{4} e^{4} - 4 \, a b^{5} d^{3} e^{5} + 6 \, a^{2} b^{4} d^{2} e^{6} - 4 \, a^{3} b^{3} d e^{7} + a^{4} b^{2} e^{8}} + \frac{9 \, {\left(B b^{11} d^{2} {\left| b \right|} e^{5} - 4 \, B a b^{10} d {\left| b \right|} e^{6} + 2 \, A b^{11} d {\left| b \right|} e^{6} + 3 \, B a^{2} b^{9} {\left| b \right|} e^{7} - 2 \, A a b^{10} {\left| b \right|} e^{7}\right)}}{b^{6} d^{4} e^{4} - 4 \, a b^{5} d^{3} e^{5} + 6 \, a^{2} b^{4} d^{2} e^{6} - 4 \, a^{3} b^{3} d e^{7} + a^{4} b^{2} e^{8}}\right)} + \frac{63 \, {\left(B b^{12} d^{3} {\left| b \right|} e^{4} - 5 \, B a b^{11} d^{2} {\left| b \right|} e^{5} + 2 \, A b^{12} d^{2} {\left| b \right|} e^{5} + 7 \, B a^{2} b^{10} d {\left| b \right|} e^{6} - 4 \, A a b^{11} d {\left| b \right|} e^{6} - 3 \, B a^{3} b^{9} {\left| b \right|} e^{7} + 2 \, A a^{2} b^{10} {\left| b \right|} e^{7}\right)}}{b^{6} d^{4} e^{4} - 4 \, a b^{5} d^{3} e^{5} + 6 \, a^{2} b^{4} d^{2} e^{6} - 4 \, a^{3} b^{3} d e^{7} + a^{4} b^{2} e^{8}}\right)} {\left(b x + a\right)} - \frac{105 \, {\left(B a b^{12} d^{3} {\left| b \right|} e^{4} - A b^{13} d^{3} {\left| b \right|} e^{4} - 3 \, B a^{2} b^{11} d^{2} {\left| b \right|} e^{5} + 3 \, A a b^{12} d^{2} {\left| b \right|} e^{5} + 3 \, B a^{3} b^{10} d {\left| b \right|} e^{6} - 3 \, A a^{2} b^{11} d {\left| b \right|} e^{6} - B a^{4} b^{9} {\left| b \right|} e^{7} + A a^{3} b^{10} {\left| b \right|} e^{7}\right)}}{b^{6} d^{4} e^{4} - 4 \, a b^{5} d^{3} e^{5} + 6 \, a^{2} b^{4} d^{2} e^{6} - 4 \, a^{3} b^{3} d e^{7} + a^{4} b^{2} e^{8}}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{315 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{9}{2}}}"," ",0,"2/315*((4*(b*x + a)*(2*(B*b^10*d*abs(b)*e^6 - 3*B*a*b^9*abs(b)*e^7 + 2*A*b^10*abs(b)*e^7)*(b*x + a)/(b^6*d^4*e^4 - 4*a*b^5*d^3*e^5 + 6*a^2*b^4*d^2*e^6 - 4*a^3*b^3*d*e^7 + a^4*b^2*e^8) + 9*(B*b^11*d^2*abs(b)*e^5 - 4*B*a*b^10*d*abs(b)*e^6 + 2*A*b^11*d*abs(b)*e^6 + 3*B*a^2*b^9*abs(b)*e^7 - 2*A*a*b^10*abs(b)*e^7)/(b^6*d^4*e^4 - 4*a*b^5*d^3*e^5 + 6*a^2*b^4*d^2*e^6 - 4*a^3*b^3*d*e^7 + a^4*b^2*e^8)) + 63*(B*b^12*d^3*abs(b)*e^4 - 5*B*a*b^11*d^2*abs(b)*e^5 + 2*A*b^12*d^2*abs(b)*e^5 + 7*B*a^2*b^10*d*abs(b)*e^6 - 4*A*a*b^11*d*abs(b)*e^6 - 3*B*a^3*b^9*abs(b)*e^7 + 2*A*a^2*b^10*abs(b)*e^7)/(b^6*d^4*e^4 - 4*a*b^5*d^3*e^5 + 6*a^2*b^4*d^2*e^6 - 4*a^3*b^3*d*e^7 + a^4*b^2*e^8))*(b*x + a) - 105*(B*a*b^12*d^3*abs(b)*e^4 - A*b^13*d^3*abs(b)*e^4 - 3*B*a^2*b^11*d^2*abs(b)*e^5 + 3*A*a*b^12*d^2*abs(b)*e^5 + 3*B*a^3*b^10*d*abs(b)*e^6 - 3*A*a^2*b^11*d*abs(b)*e^6 - B*a^4*b^9*abs(b)*e^7 + A*a^3*b^10*abs(b)*e^7)/(b^6*d^4*e^4 - 4*a*b^5*d^3*e^5 + 6*a^2*b^4*d^2*e^6 - 4*a^3*b^3*d*e^7 + a^4*b^2*e^8))*(b*x + a)^(3/2)/(b^2*d + (b*x + a)*b*e - a*b*e)^(9/2)","B",0
2209,1,875,0,4.340871," ","integrate((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(13/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(3 \, B b^{12} d {\left| b \right|} e^{8} - 11 \, B a b^{11} {\left| b \right|} e^{9} + 8 \, A b^{12} {\left| b \right|} e^{9}\right)} {\left(b x + a\right)}}{b^{7} d^{5} e^{5} - 5 \, a b^{6} d^{4} e^{6} + 10 \, a^{2} b^{5} d^{3} e^{7} - 10 \, a^{3} b^{4} d^{2} e^{8} + 5 \, a^{4} b^{3} d e^{9} - a^{5} b^{2} e^{10}} + \frac{11 \, {\left(3 \, B b^{13} d^{2} {\left| b \right|} e^{7} - 14 \, B a b^{12} d {\left| b \right|} e^{8} + 8 \, A b^{13} d {\left| b \right|} e^{8} + 11 \, B a^{2} b^{11} {\left| b \right|} e^{9} - 8 \, A a b^{12} {\left| b \right|} e^{9}\right)}}{b^{7} d^{5} e^{5} - 5 \, a b^{6} d^{4} e^{6} + 10 \, a^{2} b^{5} d^{3} e^{7} - 10 \, a^{3} b^{4} d^{2} e^{8} + 5 \, a^{4} b^{3} d e^{9} - a^{5} b^{2} e^{10}}\right)} + \frac{99 \, {\left(3 \, B b^{14} d^{3} {\left| b \right|} e^{6} - 17 \, B a b^{13} d^{2} {\left| b \right|} e^{7} + 8 \, A b^{14} d^{2} {\left| b \right|} e^{7} + 25 \, B a^{2} b^{12} d {\left| b \right|} e^{8} - 16 \, A a b^{13} d {\left| b \right|} e^{8} - 11 \, B a^{3} b^{11} {\left| b \right|} e^{9} + 8 \, A a^{2} b^{12} {\left| b \right|} e^{9}\right)}}{b^{7} d^{5} e^{5} - 5 \, a b^{6} d^{4} e^{6} + 10 \, a^{2} b^{5} d^{3} e^{7} - 10 \, a^{3} b^{4} d^{2} e^{8} + 5 \, a^{4} b^{3} d e^{9} - a^{5} b^{2} e^{10}}\right)} {\left(b x + a\right)} + \frac{231 \, {\left(3 \, B b^{15} d^{4} {\left| b \right|} e^{5} - 20 \, B a b^{14} d^{3} {\left| b \right|} e^{6} + 8 \, A b^{15} d^{3} {\left| b \right|} e^{6} + 42 \, B a^{2} b^{13} d^{2} {\left| b \right|} e^{7} - 24 \, A a b^{14} d^{2} {\left| b \right|} e^{7} - 36 \, B a^{3} b^{12} d {\left| b \right|} e^{8} + 24 \, A a^{2} b^{13} d {\left| b \right|} e^{8} + 11 \, B a^{4} b^{11} {\left| b \right|} e^{9} - 8 \, A a^{3} b^{12} {\left| b \right|} e^{9}\right)}}{b^{7} d^{5} e^{5} - 5 \, a b^{6} d^{4} e^{6} + 10 \, a^{2} b^{5} d^{3} e^{7} - 10 \, a^{3} b^{4} d^{2} e^{8} + 5 \, a^{4} b^{3} d e^{9} - a^{5} b^{2} e^{10}}\right)} {\left(b x + a\right)} - \frac{1155 \, {\left(B a b^{15} d^{4} {\left| b \right|} e^{5} - A b^{16} d^{4} {\left| b \right|} e^{5} - 4 \, B a^{2} b^{14} d^{3} {\left| b \right|} e^{6} + 4 \, A a b^{15} d^{3} {\left| b \right|} e^{6} + 6 \, B a^{3} b^{13} d^{2} {\left| b \right|} e^{7} - 6 \, A a^{2} b^{14} d^{2} {\left| b \right|} e^{7} - 4 \, B a^{4} b^{12} d {\left| b \right|} e^{8} + 4 \, A a^{3} b^{13} d {\left| b \right|} e^{8} + B a^{5} b^{11} {\left| b \right|} e^{9} - A a^{4} b^{12} {\left| b \right|} e^{9}\right)}}{b^{7} d^{5} e^{5} - 5 \, a b^{6} d^{4} e^{6} + 10 \, a^{2} b^{5} d^{3} e^{7} - 10 \, a^{3} b^{4} d^{2} e^{8} + 5 \, a^{4} b^{3} d e^{9} - a^{5} b^{2} e^{10}}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{3465 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{11}{2}}}"," ",0,"2/3465*((2*(4*(b*x + a)*(2*(3*B*b^12*d*abs(b)*e^8 - 11*B*a*b^11*abs(b)*e^9 + 8*A*b^12*abs(b)*e^9)*(b*x + a)/(b^7*d^5*e^5 - 5*a*b^6*d^4*e^6 + 10*a^2*b^5*d^3*e^7 - 10*a^3*b^4*d^2*e^8 + 5*a^4*b^3*d*e^9 - a^5*b^2*e^10) + 11*(3*B*b^13*d^2*abs(b)*e^7 - 14*B*a*b^12*d*abs(b)*e^8 + 8*A*b^13*d*abs(b)*e^8 + 11*B*a^2*b^11*abs(b)*e^9 - 8*A*a*b^12*abs(b)*e^9)/(b^7*d^5*e^5 - 5*a*b^6*d^4*e^6 + 10*a^2*b^5*d^3*e^7 - 10*a^3*b^4*d^2*e^8 + 5*a^4*b^3*d*e^9 - a^5*b^2*e^10)) + 99*(3*B*b^14*d^3*abs(b)*e^6 - 17*B*a*b^13*d^2*abs(b)*e^7 + 8*A*b^14*d^2*abs(b)*e^7 + 25*B*a^2*b^12*d*abs(b)*e^8 - 16*A*a*b^13*d*abs(b)*e^8 - 11*B*a^3*b^11*abs(b)*e^9 + 8*A*a^2*b^12*abs(b)*e^9)/(b^7*d^5*e^5 - 5*a*b^6*d^4*e^6 + 10*a^2*b^5*d^3*e^7 - 10*a^3*b^4*d^2*e^8 + 5*a^4*b^3*d*e^9 - a^5*b^2*e^10))*(b*x + a) + 231*(3*B*b^15*d^4*abs(b)*e^5 - 20*B*a*b^14*d^3*abs(b)*e^6 + 8*A*b^15*d^3*abs(b)*e^6 + 42*B*a^2*b^13*d^2*abs(b)*e^7 - 24*A*a*b^14*d^2*abs(b)*e^7 - 36*B*a^3*b^12*d*abs(b)*e^8 + 24*A*a^2*b^13*d*abs(b)*e^8 + 11*B*a^4*b^11*abs(b)*e^9 - 8*A*a^3*b^12*abs(b)*e^9)/(b^7*d^5*e^5 - 5*a*b^6*d^4*e^6 + 10*a^2*b^5*d^3*e^7 - 10*a^3*b^4*d^2*e^8 + 5*a^4*b^3*d*e^9 - a^5*b^2*e^10))*(b*x + a) - 1155*(B*a*b^15*d^4*abs(b)*e^5 - A*b^16*d^4*abs(b)*e^5 - 4*B*a^2*b^14*d^3*abs(b)*e^6 + 4*A*a*b^15*d^3*abs(b)*e^6 + 6*B*a^3*b^13*d^2*abs(b)*e^7 - 6*A*a^2*b^14*d^2*abs(b)*e^7 - 4*B*a^4*b^12*d*abs(b)*e^8 + 4*A*a^3*b^13*d*abs(b)*e^8 + B*a^5*b^11*abs(b)*e^9 - A*a^4*b^12*abs(b)*e^9)/(b^7*d^5*e^5 - 5*a*b^6*d^4*e^6 + 10*a^2*b^5*d^3*e^7 - 10*a^3*b^4*d^2*e^8 + 5*a^4*b^3*d*e^9 - a^5*b^2*e^10))*(b*x + a)^(3/2)/(b^2*d + (b*x + a)*b*e - a*b*e)^(11/2)","B",0
2210,1,1216,0,5.764551," ","integrate((B*x+A)*(b*x+a)^(1/2)/(e*x+d)^(15/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(8 \, {\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(3 \, B b^{14} d {\left| b \right|} e^{10} - 13 \, B a b^{13} {\left| b \right|} e^{11} + 10 \, A b^{14} {\left| b \right|} e^{11}\right)} {\left(b x + a\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}} + \frac{13 \, {\left(3 \, B b^{15} d^{2} {\left| b \right|} e^{9} - 16 \, B a b^{14} d {\left| b \right|} e^{10} + 10 \, A b^{15} d {\left| b \right|} e^{10} + 13 \, B a^{2} b^{13} {\left| b \right|} e^{11} - 10 \, A a b^{14} {\left| b \right|} e^{11}\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}}\right)} + \frac{143 \, {\left(3 \, B b^{16} d^{3} {\left| b \right|} e^{8} - 19 \, B a b^{15} d^{2} {\left| b \right|} e^{9} + 10 \, A b^{16} d^{2} {\left| b \right|} e^{9} + 29 \, B a^{2} b^{14} d {\left| b \right|} e^{10} - 20 \, A a b^{15} d {\left| b \right|} e^{10} - 13 \, B a^{3} b^{13} {\left| b \right|} e^{11} + 10 \, A a^{2} b^{14} {\left| b \right|} e^{11}\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}}\right)} {\left(b x + a\right)} + \frac{429 \, {\left(3 \, B b^{17} d^{4} {\left| b \right|} e^{7} - 22 \, B a b^{16} d^{3} {\left| b \right|} e^{8} + 10 \, A b^{17} d^{3} {\left| b \right|} e^{8} + 48 \, B a^{2} b^{15} d^{2} {\left| b \right|} e^{9} - 30 \, A a b^{16} d^{2} {\left| b \right|} e^{9} - 42 \, B a^{3} b^{14} d {\left| b \right|} e^{10} + 30 \, A a^{2} b^{15} d {\left| b \right|} e^{10} + 13 \, B a^{4} b^{13} {\left| b \right|} e^{11} - 10 \, A a^{3} b^{14} {\left| b \right|} e^{11}\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}}\right)} {\left(b x + a\right)} + \frac{3003 \, {\left(3 \, B b^{18} d^{5} {\left| b \right|} e^{6} - 25 \, B a b^{17} d^{4} {\left| b \right|} e^{7} + 10 \, A b^{18} d^{4} {\left| b \right|} e^{7} + 70 \, B a^{2} b^{16} d^{3} {\left| b \right|} e^{8} - 40 \, A a b^{17} d^{3} {\left| b \right|} e^{8} - 90 \, B a^{3} b^{15} d^{2} {\left| b \right|} e^{9} + 60 \, A a^{2} b^{16} d^{2} {\left| b \right|} e^{9} + 55 \, B a^{4} b^{14} d {\left| b \right|} e^{10} - 40 \, A a^{3} b^{15} d {\left| b \right|} e^{10} - 13 \, B a^{5} b^{13} {\left| b \right|} e^{11} + 10 \, A a^{4} b^{14} {\left| b \right|} e^{11}\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}}\right)} {\left(b x + a\right)} - \frac{15015 \, {\left(B a b^{18} d^{5} {\left| b \right|} e^{6} - A b^{19} d^{5} {\left| b \right|} e^{6} - 5 \, B a^{2} b^{17} d^{4} {\left| b \right|} e^{7} + 5 \, A a b^{18} d^{4} {\left| b \right|} e^{7} + 10 \, B a^{3} b^{16} d^{3} {\left| b \right|} e^{8} - 10 \, A a^{2} b^{17} d^{3} {\left| b \right|} e^{8} - 10 \, B a^{4} b^{15} d^{2} {\left| b \right|} e^{9} + 10 \, A a^{3} b^{16} d^{2} {\left| b \right|} e^{9} + 5 \, B a^{5} b^{14} d {\left| b \right|} e^{10} - 5 \, A a^{4} b^{15} d {\left| b \right|} e^{10} - B a^{6} b^{13} {\left| b \right|} e^{11} + A a^{5} b^{14} {\left| b \right|} e^{11}\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{45045 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{13}{2}}}"," ",0,"2/45045*((8*(2*(4*(b*x + a)*(2*(3*B*b^14*d*abs(b)*e^10 - 13*B*a*b^13*abs(b)*e^11 + 10*A*b^14*abs(b)*e^11)*(b*x + a)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12) + 13*(3*B*b^15*d^2*abs(b)*e^9 - 16*B*a*b^14*d*abs(b)*e^10 + 10*A*b^15*d*abs(b)*e^10 + 13*B*a^2*b^13*abs(b)*e^11 - 10*A*a*b^14*abs(b)*e^11)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12)) + 143*(3*B*b^16*d^3*abs(b)*e^8 - 19*B*a*b^15*d^2*abs(b)*e^9 + 10*A*b^16*d^2*abs(b)*e^9 + 29*B*a^2*b^14*d*abs(b)*e^10 - 20*A*a*b^15*d*abs(b)*e^10 - 13*B*a^3*b^13*abs(b)*e^11 + 10*A*a^2*b^14*abs(b)*e^11)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12))*(b*x + a) + 429*(3*B*b^17*d^4*abs(b)*e^7 - 22*B*a*b^16*d^3*abs(b)*e^8 + 10*A*b^17*d^3*abs(b)*e^8 + 48*B*a^2*b^15*d^2*abs(b)*e^9 - 30*A*a*b^16*d^2*abs(b)*e^9 - 42*B*a^3*b^14*d*abs(b)*e^10 + 30*A*a^2*b^15*d*abs(b)*e^10 + 13*B*a^4*b^13*abs(b)*e^11 - 10*A*a^3*b^14*abs(b)*e^11)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12))*(b*x + a) + 3003*(3*B*b^18*d^5*abs(b)*e^6 - 25*B*a*b^17*d^4*abs(b)*e^7 + 10*A*b^18*d^4*abs(b)*e^7 + 70*B*a^2*b^16*d^3*abs(b)*e^8 - 40*A*a*b^17*d^3*abs(b)*e^8 - 90*B*a^3*b^15*d^2*abs(b)*e^9 + 60*A*a^2*b^16*d^2*abs(b)*e^9 + 55*B*a^4*b^14*d*abs(b)*e^10 - 40*A*a^3*b^15*d*abs(b)*e^10 - 13*B*a^5*b^13*abs(b)*e^11 + 10*A*a^4*b^14*abs(b)*e^11)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12))*(b*x + a) - 15015*(B*a*b^18*d^5*abs(b)*e^6 - A*b^19*d^5*abs(b)*e^6 - 5*B*a^2*b^17*d^4*abs(b)*e^7 + 5*A*a*b^18*d^4*abs(b)*e^7 + 10*B*a^3*b^16*d^3*abs(b)*e^8 - 10*A*a^2*b^17*d^3*abs(b)*e^8 - 10*B*a^4*b^15*d^2*abs(b)*e^9 + 10*A*a^3*b^16*d^2*abs(b)*e^9 + 5*B*a^5*b^14*d*abs(b)*e^10 - 5*A*a^4*b^15*d*abs(b)*e^10 - B*a^6*b^13*abs(b)*e^11 + A*a^5*b^14*abs(b)*e^11)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12))*(b*x + a)^(3/2)/(b^2*d + (b*x + a)*b*e - a*b*e)^(13/2)","B",0
2211,1,4427,0,5.726116," ","integrate((b*x+a)^(3/2)*(B*x+A)*(e*x+d)^(5/2),x, algorithm=""giac"")","\frac{320 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A d^{2} {\left| b \right|} + 40 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B d^{2} {\left| b \right|} - \frac{7680 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} A a^{2} d^{2} {\left| b \right|}}{b^{2}} + \frac{640 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B a d^{2} {\left| b \right|}}{b} + 80 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} A d {\left| b \right|} e + 8 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} B d {\left| b \right|} e + \frac{640 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B a^{2} d {\left| b \right|} e}{b^{2}} + \frac{1280 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A a d {\left| b \right|} e}{b} + \frac{160 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B a d {\left| b \right|} e}{b} + \frac{1920 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} B a^{2} d^{2} {\left| b \right|}}{b^{3}} + \frac{3840 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A a d^{2} {\left| b \right|}}{b^{2}} + 4 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} A {\left| b \right|} e^{2} + {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{30} d e^{9} - 61 \, a b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} - \frac{3 \, {\left(3 \, b^{31} d^{2} e^{8} + 14 \, a b^{30} d e^{9} - 417 \, a^{2} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} + \frac{{\left(21 \, b^{32} d^{3} e^{7} + 77 \, a b^{31} d^{2} e^{8} + 183 \, a^{2} b^{30} d e^{9} - 3481 \, a^{3} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} {\left(b x + a\right)} - \frac{5 \, {\left(21 \, b^{33} d^{4} e^{6} + 56 \, a b^{32} d^{3} e^{7} + 106 \, a^{2} b^{31} d^{2} e^{8} + 176 \, a^{3} b^{30} d e^{9} - 2279 \, a^{4} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} {\left(b x + a\right)} + \frac{15 \, {\left(21 \, b^{34} d^{5} e^{5} + 35 \, a b^{33} d^{4} e^{6} + 50 \, a^{2} b^{32} d^{3} e^{7} + 70 \, a^{3} b^{31} d^{2} e^{8} + 105 \, a^{4} b^{30} d e^{9} - 793 \, a^{5} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} \sqrt{b x + a} + \frac{15 \, {\left(21 \, b^{6} d^{6} + 14 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} + 20 \, a^{3} b^{3} d^{3} e^{3} + 35 \, a^{4} b^{2} d^{2} e^{4} + 126 \, a^{5} b d e^{5} - 231 \, a^{6} e^{6}\right)} e^{\left(-\frac{11}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{9}{2}}}\right)} B {\left| b \right|} e^{2} + \frac{320 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A a^{2} {\left| b \right|} e^{2}}{b^{2}} + \frac{40 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B a^{2} {\left| b \right|} e^{2}}{b^{2}} + \frac{80 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} A a {\left| b \right|} e^{2}}{b} + \frac{8 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} B a {\left| b \right|} e^{2}}{b} + \frac{3840 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A a^{2} d {\left| b \right|} e}{b^{3}}}{7680 \, b}"," ",0,"1/7680*(320*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*d^2*abs(b) + 40*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*d^2*abs(b) - 7680*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*A*a^2*d^2*abs(b)/b^2 + 640*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*a*d^2*abs(b)/b + 80*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*A*d*abs(b)*e + 8*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*B*d*abs(b)*e + 640*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*a^2*d*abs(b)*e/b^2 + 1280*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*a*d*abs(b)*e/b + 160*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*a*d*abs(b)*e/b + 1920*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*B*a^2*d^2*abs(b)/b^3 + 3840*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*a*d^2*abs(b)/b^2 + 4*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*A*abs(b)*e^2 + (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(2*(b*x + a)*(8*(b*x + a)*(10*(b*x + a)/b^5 + (b^30*d*e^9 - 61*a*b^29*e^10)*e^(-10)/b^34) - 3*(3*b^31*d^2*e^8 + 14*a*b^30*d*e^9 - 417*a^2*b^29*e^10)*e^(-10)/b^34) + (21*b^32*d^3*e^7 + 77*a*b^31*d^2*e^8 + 183*a^2*b^30*d*e^9 - 3481*a^3*b^29*e^10)*e^(-10)/b^34)*(b*x + a) - 5*(21*b^33*d^4*e^6 + 56*a*b^32*d^3*e^7 + 106*a^2*b^31*d^2*e^8 + 176*a^3*b^30*d*e^9 - 2279*a^4*b^29*e^10)*e^(-10)/b^34)*(b*x + a) + 15*(21*b^34*d^5*e^5 + 35*a*b^33*d^4*e^6 + 50*a^2*b^32*d^3*e^7 + 70*a^3*b^31*d^2*e^8 + 105*a^4*b^30*d*e^9 - 793*a^5*b^29*e^10)*e^(-10)/b^34)*sqrt(b*x + a) + 15*(21*b^6*d^6 + 14*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 + 20*a^3*b^3*d^3*e^3 + 35*a^4*b^2*d^2*e^4 + 126*a^5*b*d*e^5 - 231*a^6*e^6)*e^(-11/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(9/2))*B*abs(b)*e^2 + 320*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*a^2*abs(b)*e^2/b^2 + 40*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*a^2*abs(b)*e^2/b^2 + 80*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*A*a*abs(b)*e^2/b + 8*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*B*a*abs(b)*e^2/b + 3840*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*a^2*d*abs(b)*e/b^3)/b","B",0
2212,1,2489,0,3.857146," ","integrate((b*x+a)^(3/2)*(B*x+A)*(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{80 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A d {\left| b \right|} + 10 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B d {\left| b \right|} - \frac{1920 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} A a^{2} d {\left| b \right|}}{b^{2}} + \frac{160 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B a d {\left| b \right|}}{b} + 10 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} A {\left| b \right|} e + {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} B {\left| b \right|} e + \frac{80 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B a^{2} {\left| b \right|} e}{b^{2}} + \frac{160 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A a {\left| b \right|} e}{b} + \frac{20 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B a {\left| b \right|} e}{b} + \frac{480 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} B a^{2} d {\left| b \right|}}{b^{3}} + \frac{960 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A a d {\left| b \right|}}{b^{2}} + \frac{480 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A a^{2} {\left| b \right|} e}{b^{3}}}{1920 \, b}"," ",0,"1/1920*(80*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*d*abs(b) + 10*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*d*abs(b) - 1920*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*A*a^2*d*abs(b)/b^2 + 160*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*a*d*abs(b)/b + 10*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*A*abs(b)*e + (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*B*abs(b)*e + 80*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*a^2*abs(b)*e/b^2 + 160*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*a*abs(b)*e/b + 20*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*a*abs(b)*e/b + 480*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*B*a^2*d*abs(b)/b^3 + 960*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*a*d*abs(b)/b^2 + 480*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*a^2*abs(b)*e/b^3)/b","B",0
2213,1,1040,0,2.342910," ","integrate((b*x+a)^(3/2)*(B*x+A)*(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{8 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A {\left| b \right|} + {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B {\left| b \right|} - \frac{192 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} A a^{2} {\left| b \right|}}{b^{2}} + \frac{16 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B a {\left| b \right|}}{b} + \frac{48 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} B a^{2} {\left| b \right|}}{b^{3}} + \frac{96 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A a {\left| b \right|}}{b^{2}}}{192 \, b}"," ",0,"1/192*(8*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*abs(b) + (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*abs(b) - 192*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*A*a^2*abs(b)/b^2 + 16*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*a*abs(b)/b + 48*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*B*a^2*abs(b)/b^3 + 96*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*a*abs(b)/b^2)/b","B",0
2214,1,268,0,1.491808," ","integrate((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)} B e^{\left(-1\right)}}{b^{2}} - \frac{{\left(5 \, B b^{3} d e^{3} + B a b^{2} e^{4} - 6 \, A b^{3} e^{4}\right)} e^{\left(-5\right)}}{b^{4}}\right)} + \frac{3 \, {\left(5 \, B b^{4} d^{2} e^{2} - 4 \, B a b^{3} d e^{3} - 6 \, A b^{4} d e^{3} - B a^{2} b^{2} e^{4} + 6 \, A a b^{3} e^{4}\right)} e^{\left(-5\right)}}{b^{4}}\right)} + \frac{3 \, {\left(5 \, B b^{3} d^{3} - 9 \, B a b^{2} d^{2} e - 6 \, A b^{3} d^{2} e + 3 \, B a^{2} b d e^{2} + 12 \, A a b^{2} d e^{2} + B a^{3} e^{3} - 6 \, A a^{2} b e^{3}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} b}{24 \, {\left| b \right|}}"," ",0,"1/24*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)*B*e^(-1)/b^2 - (5*B*b^3*d*e^3 + B*a*b^2*e^4 - 6*A*b^3*e^4)*e^(-5)/b^4) + 3*(5*B*b^4*d^2*e^2 - 4*B*a*b^3*d*e^3 - 6*A*b^4*d*e^3 - B*a^2*b^2*e^4 + 6*A*a*b^3*e^4)*e^(-5)/b^4) + 3*(5*B*b^3*d^3 - 9*B*a*b^2*d^2*e - 6*A*b^3*d^2*e + 3*B*a^2*b*d*e^2 + 12*A*a*b^2*d*e^2 + B*a^3*e^3 - 6*A*a^2*b*e^3)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*b/abs(b)","A",0
2215,1,257,0,1.638290," ","integrate((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(3/2),x, algorithm=""giac"")","-\frac{3 \, {\left(5 \, B b^{2} d^{2} {\left| b \right|} - 6 \, B a b d {\left| b \right|} e - 4 \, A b^{2} d {\left| b \right|} e + B a^{2} {\left| b \right|} e^{2} + 4 \, A a b {\left| b \right|} e^{2}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{4 \, b^{\frac{3}{2}}} + \frac{{\left({\left(\frac{2 \, {\left(b x + a\right)} B {\left| b \right|} e^{\left(-1\right)}}{b} - \frac{{\left(5 \, B b^{2} d {\left| b \right|} e^{3} - B a b {\left| b \right|} e^{4} - 4 \, A b^{2} {\left| b \right|} e^{4}\right)} e^{\left(-5\right)}}{b^{2}}\right)} {\left(b x + a\right)} - \frac{3 \, {\left(5 \, B b^{3} d^{2} {\left| b \right|} e^{2} - 6 \, B a b^{2} d {\left| b \right|} e^{3} - 4 \, A b^{3} d {\left| b \right|} e^{3} + B a^{2} b {\left| b \right|} e^{4} + 4 \, A a b^{2} {\left| b \right|} e^{4}\right)} e^{\left(-5\right)}}{b^{2}}\right)} \sqrt{b x + a}}{4 \, \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}}"," ",0,"-3/4*(5*B*b^2*d^2*abs(b) - 6*B*a*b*d*abs(b)*e - 4*A*b^2*d*abs(b)*e + B*a^2*abs(b)*e^2 + 4*A*a*b*abs(b)*e^2)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2) + 1/4*((2*(b*x + a)*B*abs(b)*e^(-1)/b - (5*B*b^2*d*abs(b)*e^3 - B*a*b*abs(b)*e^4 - 4*A*b^2*abs(b)*e^4)*e^(-5)/b^2)*(b*x + a) - 3*(5*B*b^3*d^2*abs(b)*e^2 - 6*B*a*b^2*d*abs(b)*e^3 - 4*A*b^3*d*abs(b)*e^3 + B*a^2*b*abs(b)*e^4 + 4*A*a*b^2*abs(b)*e^4)*e^(-5)/b^2)*sqrt(b*x + a)/sqrt(b^2*d + (b*x + a)*b*e - a*b*e)","A",0
2216,1,352,0,2.093711," ","integrate((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(5/2),x, algorithm=""giac"")","\frac{{\left(5 \, B b d {\left| b \right|} - 3 \, B a {\left| b \right|} e - 2 \, A b {\left| b \right|} e\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \frac{{\left({\left(b x + a\right)} {\left(\frac{3 \, {\left(B b^{5} d {\left| b \right|} e^{4} - B a b^{4} {\left| b \right|} e^{5}\right)} {\left(b x + a\right)}}{b^{4} d e^{5} - a b^{3} e^{6}} + \frac{4 \, {\left(5 \, B b^{6} d^{2} {\left| b \right|} e^{3} - 8 \, B a b^{5} d {\left| b \right|} e^{4} - 2 \, A b^{6} d {\left| b \right|} e^{4} + 3 \, B a^{2} b^{4} {\left| b \right|} e^{5} + 2 \, A a b^{5} {\left| b \right|} e^{5}\right)}}{b^{4} d e^{5} - a b^{3} e^{6}}\right)} + \frac{3 \, {\left(5 \, B b^{7} d^{3} {\left| b \right|} e^{2} - 13 \, B a b^{6} d^{2} {\left| b \right|} e^{3} - 2 \, A b^{7} d^{2} {\left| b \right|} e^{3} + 11 \, B a^{2} b^{5} d {\left| b \right|} e^{4} + 4 \, A a b^{6} d {\left| b \right|} e^{4} - 3 \, B a^{3} b^{4} {\left| b \right|} e^{5} - 2 \, A a^{2} b^{5} {\left| b \right|} e^{5}\right)}}{b^{4} d e^{5} - a b^{3} e^{6}}\right)} \sqrt{b x + a}}{3 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{3}{2}}}"," ",0,"(5*B*b*d*abs(b) - 3*B*a*abs(b)*e - 2*A*b*abs(b)*e)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + 1/3*((b*x + a)*(3*(B*b^5*d*abs(b)*e^4 - B*a*b^4*abs(b)*e^5)*(b*x + a)/(b^4*d*e^5 - a*b^3*e^6) + 4*(5*B*b^6*d^2*abs(b)*e^3 - 8*B*a*b^5*d*abs(b)*e^4 - 2*A*b^6*d*abs(b)*e^4 + 3*B*a^2*b^4*abs(b)*e^5 + 2*A*a*b^5*abs(b)*e^5)/(b^4*d*e^5 - a*b^3*e^6)) + 3*(5*B*b^7*d^3*abs(b)*e^2 - 13*B*a*b^6*d^2*abs(b)*e^3 - 2*A*b^7*d^2*abs(b)*e^3 + 11*B*a^2*b^5*d*abs(b)*e^4 + 4*A*a*b^6*d*abs(b)*e^4 - 3*B*a^3*b^4*abs(b)*e^5 - 2*A*a^2*b^5*abs(b)*e^5)/(b^4*d*e^5 - a*b^3*e^6))*sqrt(b*x + a)/(b^2*d + (b*x + a)*b*e - a*b*e)^(3/2)","B",0
2217,1,375,0,2.546344," ","integrate((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(7/2),x, algorithm=""giac"")","-2 \, B \sqrt{b} {\left| b \right|} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right) - \frac{2 \, {\left({\left(b x + a\right)} {\left(\frac{{\left(23 \, B b^{7} d^{2} {\left| b \right|} e^{4} - 43 \, B a b^{6} d {\left| b \right|} e^{5} - 3 \, A b^{7} d {\left| b \right|} e^{5} + 20 \, B a^{2} b^{5} {\left| b \right|} e^{6} + 3 \, A a b^{6} {\left| b \right|} e^{6}\right)} {\left(b x + a\right)}}{b^{4} d^{2} e^{5} - 2 \, a b^{3} d e^{6} + a^{2} b^{2} e^{7}} + \frac{35 \, {\left(B b^{8} d^{3} {\left| b \right|} e^{3} - 3 \, B a b^{7} d^{2} {\left| b \right|} e^{4} + 3 \, B a^{2} b^{6} d {\left| b \right|} e^{5} - B a^{3} b^{5} {\left| b \right|} e^{6}\right)}}{b^{4} d^{2} e^{5} - 2 \, a b^{3} d e^{6} + a^{2} b^{2} e^{7}}\right)} + \frac{15 \, {\left(B b^{9} d^{4} {\left| b \right|} e^{2} - 4 \, B a b^{8} d^{3} {\left| b \right|} e^{3} + 6 \, B a^{2} b^{7} d^{2} {\left| b \right|} e^{4} - 4 \, B a^{3} b^{6} d {\left| b \right|} e^{5} + B a^{4} b^{5} {\left| b \right|} e^{6}\right)}}{b^{4} d^{2} e^{5} - 2 \, a b^{3} d e^{6} + a^{2} b^{2} e^{7}}\right)} \sqrt{b x + a}}{15 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{5}{2}}}"," ",0,"-2*B*sqrt(b)*abs(b)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e))) - 2/15*((b*x + a)*((23*B*b^7*d^2*abs(b)*e^4 - 43*B*a*b^6*d*abs(b)*e^5 - 3*A*b^7*d*abs(b)*e^5 + 20*B*a^2*b^5*abs(b)*e^6 + 3*A*a*b^6*abs(b)*e^6)*(b*x + a)/(b^4*d^2*e^5 - 2*a*b^3*d*e^6 + a^2*b^2*e^7) + 35*(B*b^8*d^3*abs(b)*e^3 - 3*B*a*b^7*d^2*abs(b)*e^4 + 3*B*a^2*b^6*d*abs(b)*e^5 - B*a^3*b^5*abs(b)*e^6)/(b^4*d^2*e^5 - 2*a*b^3*d*e^6 + a^2*b^2*e^7)) + 15*(B*b^9*d^4*abs(b)*e^2 - 4*B*a*b^8*d^3*abs(b)*e^3 + 6*B*a^2*b^7*d^2*abs(b)*e^4 - 4*B*a^3*b^6*d*abs(b)*e^5 + B*a^4*b^5*abs(b)*e^6)/(b^4*d^2*e^5 - 2*a*b^3*d*e^6 + a^2*b^2*e^7))*sqrt(b*x + a)/(b^2*d + (b*x + a)*b*e - a*b*e)^(5/2)","B",0
2218,1,268,0,3.211351," ","integrate((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(9/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}} {\left(\frac{{\left(5 \, B b^{9} d^{2} {\left| b \right|} e^{3} - 12 \, B a b^{8} d {\left| b \right|} e^{4} + 2 \, A b^{9} d {\left| b \right|} e^{4} + 7 \, B a^{2} b^{7} {\left| b \right|} e^{5} - 2 \, A a b^{8} {\left| b \right|} e^{5}\right)} {\left(b x + a\right)}}{b^{5} d^{3} e^{3} - 3 \, a b^{4} d^{2} e^{4} + 3 \, a^{2} b^{3} d e^{5} - a^{3} b^{2} e^{6}} - \frac{7 \, {\left(B a b^{9} d^{2} {\left| b \right|} e^{3} - A b^{10} d^{2} {\left| b \right|} e^{3} - 2 \, B a^{2} b^{8} d {\left| b \right|} e^{4} + 2 \, A a b^{9} d {\left| b \right|} e^{4} + B a^{3} b^{7} {\left| b \right|} e^{5} - A a^{2} b^{8} {\left| b \right|} e^{5}\right)}}{b^{5} d^{3} e^{3} - 3 \, a b^{4} d^{2} e^{4} + 3 \, a^{2} b^{3} d e^{5} - a^{3} b^{2} e^{6}}\right)}}{35 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{7}{2}}}"," ",0,"2/35*(b*x + a)^(5/2)*((5*B*b^9*d^2*abs(b)*e^3 - 12*B*a*b^8*d*abs(b)*e^4 + 2*A*b^9*d*abs(b)*e^4 + 7*B*a^2*b^7*abs(b)*e^5 - 2*A*a*b^8*abs(b)*e^5)*(b*x + a)/(b^5*d^3*e^3 - 3*a*b^4*d^2*e^4 + 3*a^2*b^3*d*e^5 - a^3*b^2*e^6) - 7*(B*a*b^9*d^2*abs(b)*e^3 - A*b^10*d^2*abs(b)*e^3 - 2*B*a^2*b^8*d*abs(b)*e^4 + 2*A*a*b^9*d*abs(b)*e^4 + B*a^3*b^7*abs(b)*e^5 - A*a^2*b^8*abs(b)*e^5)/(b^5*d^3*e^3 - 3*a*b^4*d^2*e^4 + 3*a^2*b^3*d*e^5 - a^3*b^2*e^6))/(b^2*d + (b*x + a)*b*e - a*b*e)^(7/2)","B",0
2219,1,483,0,4.548384," ","integrate((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(11/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(b x + a\right)} {\left(\frac{2 \, {\left(5 \, B b^{11} d^{2} {\left| b \right|} e^{5} - 14 \, B a b^{10} d {\left| b \right|} e^{6} + 4 \, A b^{11} d {\left| b \right|} e^{6} + 9 \, B a^{2} b^{9} {\left| b \right|} e^{7} - 4 \, A a b^{10} {\left| b \right|} e^{7}\right)} {\left(b x + a\right)}}{b^{6} d^{4} e^{4} - 4 \, a b^{5} d^{3} e^{5} + 6 \, a^{2} b^{4} d^{2} e^{6} - 4 \, a^{3} b^{3} d e^{7} + a^{4} b^{2} e^{8}} + \frac{9 \, {\left(5 \, B b^{12} d^{3} {\left| b \right|} e^{4} - 19 \, B a b^{11} d^{2} {\left| b \right|} e^{5} + 4 \, A b^{12} d^{2} {\left| b \right|} e^{5} + 23 \, B a^{2} b^{10} d {\left| b \right|} e^{6} - 8 \, A a b^{11} d {\left| b \right|} e^{6} - 9 \, B a^{3} b^{9} {\left| b \right|} e^{7} + 4 \, A a^{2} b^{10} {\left| b \right|} e^{7}\right)}}{b^{6} d^{4} e^{4} - 4 \, a b^{5} d^{3} e^{5} + 6 \, a^{2} b^{4} d^{2} e^{6} - 4 \, a^{3} b^{3} d e^{7} + a^{4} b^{2} e^{8}}\right)} - \frac{63 \, {\left(B a b^{12} d^{3} {\left| b \right|} e^{4} - A b^{13} d^{3} {\left| b \right|} e^{4} - 3 \, B a^{2} b^{11} d^{2} {\left| b \right|} e^{5} + 3 \, A a b^{12} d^{2} {\left| b \right|} e^{5} + 3 \, B a^{3} b^{10} d {\left| b \right|} e^{6} - 3 \, A a^{2} b^{11} d {\left| b \right|} e^{6} - B a^{4} b^{9} {\left| b \right|} e^{7} + A a^{3} b^{10} {\left| b \right|} e^{7}\right)}}{b^{6} d^{4} e^{4} - 4 \, a b^{5} d^{3} e^{5} + 6 \, a^{2} b^{4} d^{2} e^{6} - 4 \, a^{3} b^{3} d e^{7} + a^{4} b^{2} e^{8}}\right)} {\left(b x + a\right)}^{\frac{5}{2}}}{315 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{9}{2}}}"," ",0,"2/315*((b*x + a)*(2*(5*B*b^11*d^2*abs(b)*e^5 - 14*B*a*b^10*d*abs(b)*e^6 + 4*A*b^11*d*abs(b)*e^6 + 9*B*a^2*b^9*abs(b)*e^7 - 4*A*a*b^10*abs(b)*e^7)*(b*x + a)/(b^6*d^4*e^4 - 4*a*b^5*d^3*e^5 + 6*a^2*b^4*d^2*e^6 - 4*a^3*b^3*d*e^7 + a^4*b^2*e^8) + 9*(5*B*b^12*d^3*abs(b)*e^4 - 19*B*a*b^11*d^2*abs(b)*e^5 + 4*A*b^12*d^2*abs(b)*e^5 + 23*B*a^2*b^10*d*abs(b)*e^6 - 8*A*a*b^11*d*abs(b)*e^6 - 9*B*a^3*b^9*abs(b)*e^7 + 4*A*a^2*b^10*abs(b)*e^7)/(b^6*d^4*e^4 - 4*a*b^5*d^3*e^5 + 6*a^2*b^4*d^2*e^6 - 4*a^3*b^3*d*e^7 + a^4*b^2*e^8)) - 63*(B*a*b^12*d^3*abs(b)*e^4 - A*b^13*d^3*abs(b)*e^4 - 3*B*a^2*b^11*d^2*abs(b)*e^5 + 3*A*a*b^12*d^2*abs(b)*e^5 + 3*B*a^3*b^10*d*abs(b)*e^6 - 3*A*a^2*b^11*d*abs(b)*e^6 - B*a^4*b^9*abs(b)*e^7 + A*a^3*b^10*abs(b)*e^7)/(b^6*d^4*e^4 - 4*a*b^5*d^3*e^5 + 6*a^2*b^4*d^2*e^6 - 4*a^3*b^3*d*e^7 + a^4*b^2*e^8))*(b*x + a)^(5/2)/(b^2*d + (b*x + a)*b*e - a*b*e)^(9/2)","B",0
2220,1,762,0,5.201436," ","integrate((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(13/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(5 \, B b^{13} d^{2} {\left| b \right|} e^{7} - 16 \, B a b^{12} d {\left| b \right|} e^{8} + 6 \, A b^{13} d {\left| b \right|} e^{8} + 11 \, B a^{2} b^{11} {\left| b \right|} e^{9} - 6 \, A a b^{12} {\left| b \right|} e^{9}\right)} {\left(b x + a\right)}}{b^{7} d^{5} e^{5} - 5 \, a b^{6} d^{4} e^{6} + 10 \, a^{2} b^{5} d^{3} e^{7} - 10 \, a^{3} b^{4} d^{2} e^{8} + 5 \, a^{4} b^{3} d e^{9} - a^{5} b^{2} e^{10}} + \frac{11 \, {\left(5 \, B b^{14} d^{3} {\left| b \right|} e^{6} - 21 \, B a b^{13} d^{2} {\left| b \right|} e^{7} + 6 \, A b^{14} d^{2} {\left| b \right|} e^{7} + 27 \, B a^{2} b^{12} d {\left| b \right|} e^{8} - 12 \, A a b^{13} d {\left| b \right|} e^{8} - 11 \, B a^{3} b^{11} {\left| b \right|} e^{9} + 6 \, A a^{2} b^{12} {\left| b \right|} e^{9}\right)}}{b^{7} d^{5} e^{5} - 5 \, a b^{6} d^{4} e^{6} + 10 \, a^{2} b^{5} d^{3} e^{7} - 10 \, a^{3} b^{4} d^{2} e^{8} + 5 \, a^{4} b^{3} d e^{9} - a^{5} b^{2} e^{10}}\right)} + \frac{99 \, {\left(5 \, B b^{15} d^{4} {\left| b \right|} e^{5} - 26 \, B a b^{14} d^{3} {\left| b \right|} e^{6} + 6 \, A b^{15} d^{3} {\left| b \right|} e^{6} + 48 \, B a^{2} b^{13} d^{2} {\left| b \right|} e^{7} - 18 \, A a b^{14} d^{2} {\left| b \right|} e^{7} - 38 \, B a^{3} b^{12} d {\left| b \right|} e^{8} + 18 \, A a^{2} b^{13} d {\left| b \right|} e^{8} + 11 \, B a^{4} b^{11} {\left| b \right|} e^{9} - 6 \, A a^{3} b^{12} {\left| b \right|} e^{9}\right)}}{b^{7} d^{5} e^{5} - 5 \, a b^{6} d^{4} e^{6} + 10 \, a^{2} b^{5} d^{3} e^{7} - 10 \, a^{3} b^{4} d^{2} e^{8} + 5 \, a^{4} b^{3} d e^{9} - a^{5} b^{2} e^{10}}\right)} {\left(b x + a\right)} - \frac{693 \, {\left(B a b^{15} d^{4} {\left| b \right|} e^{5} - A b^{16} d^{4} {\left| b \right|} e^{5} - 4 \, B a^{2} b^{14} d^{3} {\left| b \right|} e^{6} + 4 \, A a b^{15} d^{3} {\left| b \right|} e^{6} + 6 \, B a^{3} b^{13} d^{2} {\left| b \right|} e^{7} - 6 \, A a^{2} b^{14} d^{2} {\left| b \right|} e^{7} - 4 \, B a^{4} b^{12} d {\left| b \right|} e^{8} + 4 \, A a^{3} b^{13} d {\left| b \right|} e^{8} + B a^{5} b^{11} {\left| b \right|} e^{9} - A a^{4} b^{12} {\left| b \right|} e^{9}\right)}}{b^{7} d^{5} e^{5} - 5 \, a b^{6} d^{4} e^{6} + 10 \, a^{2} b^{5} d^{3} e^{7} - 10 \, a^{3} b^{4} d^{2} e^{8} + 5 \, a^{4} b^{3} d e^{9} - a^{5} b^{2} e^{10}}\right)} {\left(b x + a\right)}^{\frac{5}{2}}}{3465 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{11}{2}}}"," ",0,"2/3465*((4*(b*x + a)*(2*(5*B*b^13*d^2*abs(b)*e^7 - 16*B*a*b^12*d*abs(b)*e^8 + 6*A*b^13*d*abs(b)*e^8 + 11*B*a^2*b^11*abs(b)*e^9 - 6*A*a*b^12*abs(b)*e^9)*(b*x + a)/(b^7*d^5*e^5 - 5*a*b^6*d^4*e^6 + 10*a^2*b^5*d^3*e^7 - 10*a^3*b^4*d^2*e^8 + 5*a^4*b^3*d*e^9 - a^5*b^2*e^10) + 11*(5*B*b^14*d^3*abs(b)*e^6 - 21*B*a*b^13*d^2*abs(b)*e^7 + 6*A*b^14*d^2*abs(b)*e^7 + 27*B*a^2*b^12*d*abs(b)*e^8 - 12*A*a*b^13*d*abs(b)*e^8 - 11*B*a^3*b^11*abs(b)*e^9 + 6*A*a^2*b^12*abs(b)*e^9)/(b^7*d^5*e^5 - 5*a*b^6*d^4*e^6 + 10*a^2*b^5*d^3*e^7 - 10*a^3*b^4*d^2*e^8 + 5*a^4*b^3*d*e^9 - a^5*b^2*e^10)) + 99*(5*B*b^15*d^4*abs(b)*e^5 - 26*B*a*b^14*d^3*abs(b)*e^6 + 6*A*b^15*d^3*abs(b)*e^6 + 48*B*a^2*b^13*d^2*abs(b)*e^7 - 18*A*a*b^14*d^2*abs(b)*e^7 - 38*B*a^3*b^12*d*abs(b)*e^8 + 18*A*a^2*b^13*d*abs(b)*e^8 + 11*B*a^4*b^11*abs(b)*e^9 - 6*A*a^3*b^12*abs(b)*e^9)/(b^7*d^5*e^5 - 5*a*b^6*d^4*e^6 + 10*a^2*b^5*d^3*e^7 - 10*a^3*b^4*d^2*e^8 + 5*a^4*b^3*d*e^9 - a^5*b^2*e^10))*(b*x + a) - 693*(B*a*b^15*d^4*abs(b)*e^5 - A*b^16*d^4*abs(b)*e^5 - 4*B*a^2*b^14*d^3*abs(b)*e^6 + 4*A*a*b^15*d^3*abs(b)*e^6 + 6*B*a^3*b^13*d^2*abs(b)*e^7 - 6*A*a^2*b^14*d^2*abs(b)*e^7 - 4*B*a^4*b^12*d*abs(b)*e^8 + 4*A*a^3*b^13*d*abs(b)*e^8 + B*a^5*b^11*abs(b)*e^9 - A*a^4*b^12*abs(b)*e^9)/(b^7*d^5*e^5 - 5*a*b^6*d^4*e^6 + 10*a^2*b^5*d^3*e^7 - 10*a^3*b^4*d^2*e^8 + 5*a^4*b^3*d*e^9 - a^5*b^2*e^10))*(b*x + a)^(5/2)/(b^2*d + (b*x + a)*b*e - a*b*e)^(11/2)","B",0
2221,1,1091,0,6.954066," ","integrate((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(15/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(5 \, B b^{15} d^{2} {\left| b \right|} e^{9} - 18 \, B a b^{14} d {\left| b \right|} e^{10} + 8 \, A b^{15} d {\left| b \right|} e^{10} + 13 \, B a^{2} b^{13} {\left| b \right|} e^{11} - 8 \, A a b^{14} {\left| b \right|} e^{11}\right)} {\left(b x + a\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}} + \frac{13 \, {\left(5 \, B b^{16} d^{3} {\left| b \right|} e^{8} - 23 \, B a b^{15} d^{2} {\left| b \right|} e^{9} + 8 \, A b^{16} d^{2} {\left| b \right|} e^{9} + 31 \, B a^{2} b^{14} d {\left| b \right|} e^{10} - 16 \, A a b^{15} d {\left| b \right|} e^{10} - 13 \, B a^{3} b^{13} {\left| b \right|} e^{11} + 8 \, A a^{2} b^{14} {\left| b \right|} e^{11}\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}}\right)} + \frac{143 \, {\left(5 \, B b^{17} d^{4} {\left| b \right|} e^{7} - 28 \, B a b^{16} d^{3} {\left| b \right|} e^{8} + 8 \, A b^{17} d^{3} {\left| b \right|} e^{8} + 54 \, B a^{2} b^{15} d^{2} {\left| b \right|} e^{9} - 24 \, A a b^{16} d^{2} {\left| b \right|} e^{9} - 44 \, B a^{3} b^{14} d {\left| b \right|} e^{10} + 24 \, A a^{2} b^{15} d {\left| b \right|} e^{10} + 13 \, B a^{4} b^{13} {\left| b \right|} e^{11} - 8 \, A a^{3} b^{14} {\left| b \right|} e^{11}\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}}\right)} {\left(b x + a\right)} + \frac{429 \, {\left(5 \, B b^{18} d^{5} {\left| b \right|} e^{6} - 33 \, B a b^{17} d^{4} {\left| b \right|} e^{7} + 8 \, A b^{18} d^{4} {\left| b \right|} e^{7} + 82 \, B a^{2} b^{16} d^{3} {\left| b \right|} e^{8} - 32 \, A a b^{17} d^{3} {\left| b \right|} e^{8} - 98 \, B a^{3} b^{15} d^{2} {\left| b \right|} e^{9} + 48 \, A a^{2} b^{16} d^{2} {\left| b \right|} e^{9} + 57 \, B a^{4} b^{14} d {\left| b \right|} e^{10} - 32 \, A a^{3} b^{15} d {\left| b \right|} e^{10} - 13 \, B a^{5} b^{13} {\left| b \right|} e^{11} + 8 \, A a^{4} b^{14} {\left| b \right|} e^{11}\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}}\right)} {\left(b x + a\right)} - \frac{3003 \, {\left(B a b^{18} d^{5} {\left| b \right|} e^{6} - A b^{19} d^{5} {\left| b \right|} e^{6} - 5 \, B a^{2} b^{17} d^{4} {\left| b \right|} e^{7} + 5 \, A a b^{18} d^{4} {\left| b \right|} e^{7} + 10 \, B a^{3} b^{16} d^{3} {\left| b \right|} e^{8} - 10 \, A a^{2} b^{17} d^{3} {\left| b \right|} e^{8} - 10 \, B a^{4} b^{15} d^{2} {\left| b \right|} e^{9} + 10 \, A a^{3} b^{16} d^{2} {\left| b \right|} e^{9} + 5 \, B a^{5} b^{14} d {\left| b \right|} e^{10} - 5 \, A a^{4} b^{15} d {\left| b \right|} e^{10} - B a^{6} b^{13} {\left| b \right|} e^{11} + A a^{5} b^{14} {\left| b \right|} e^{11}\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}}\right)} {\left(b x + a\right)}^{\frac{5}{2}}}{15015 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{13}{2}}}"," ",0,"2/15015*((2*(4*(b*x + a)*(2*(5*B*b^15*d^2*abs(b)*e^9 - 18*B*a*b^14*d*abs(b)*e^10 + 8*A*b^15*d*abs(b)*e^10 + 13*B*a^2*b^13*abs(b)*e^11 - 8*A*a*b^14*abs(b)*e^11)*(b*x + a)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12) + 13*(5*B*b^16*d^3*abs(b)*e^8 - 23*B*a*b^15*d^2*abs(b)*e^9 + 8*A*b^16*d^2*abs(b)*e^9 + 31*B*a^2*b^14*d*abs(b)*e^10 - 16*A*a*b^15*d*abs(b)*e^10 - 13*B*a^3*b^13*abs(b)*e^11 + 8*A*a^2*b^14*abs(b)*e^11)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12)) + 143*(5*B*b^17*d^4*abs(b)*e^7 - 28*B*a*b^16*d^3*abs(b)*e^8 + 8*A*b^17*d^3*abs(b)*e^8 + 54*B*a^2*b^15*d^2*abs(b)*e^9 - 24*A*a*b^16*d^2*abs(b)*e^9 - 44*B*a^3*b^14*d*abs(b)*e^10 + 24*A*a^2*b^15*d*abs(b)*e^10 + 13*B*a^4*b^13*abs(b)*e^11 - 8*A*a^3*b^14*abs(b)*e^11)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12))*(b*x + a) + 429*(5*B*b^18*d^5*abs(b)*e^6 - 33*B*a*b^17*d^4*abs(b)*e^7 + 8*A*b^18*d^4*abs(b)*e^7 + 82*B*a^2*b^16*d^3*abs(b)*e^8 - 32*A*a*b^17*d^3*abs(b)*e^8 - 98*B*a^3*b^15*d^2*abs(b)*e^9 + 48*A*a^2*b^16*d^2*abs(b)*e^9 + 57*B*a^4*b^14*d*abs(b)*e^10 - 32*A*a^3*b^15*d*abs(b)*e^10 - 13*B*a^5*b^13*abs(b)*e^11 + 8*A*a^4*b^14*abs(b)*e^11)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12))*(b*x + a) - 3003*(B*a*b^18*d^5*abs(b)*e^6 - A*b^19*d^5*abs(b)*e^6 - 5*B*a^2*b^17*d^4*abs(b)*e^7 + 5*A*a*b^18*d^4*abs(b)*e^7 + 10*B*a^3*b^16*d^3*abs(b)*e^8 - 10*A*a^2*b^17*d^3*abs(b)*e^8 - 10*B*a^4*b^15*d^2*abs(b)*e^9 + 10*A*a^3*b^16*d^2*abs(b)*e^9 + 5*B*a^5*b^14*d*abs(b)*e^10 - 5*A*a^4*b^15*d*abs(b)*e^10 - B*a^6*b^13*abs(b)*e^11 + A*a^5*b^14*abs(b)*e^11)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12))*(b*x + a)^(5/2)/(b^2*d + (b*x + a)*b*e - a*b*e)^(13/2)","B",0
2222,1,1483,0,9.517054," ","integrate((b*x+a)^(3/2)*(B*x+A)/(e*x+d)^(17/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(8 \, {\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(B b^{17} d^{2} {\left| b \right|} e^{11} - 4 \, B a b^{16} d {\left| b \right|} e^{12} + 2 \, A b^{17} d {\left| b \right|} e^{12} + 3 \, B a^{2} b^{15} {\left| b \right|} e^{13} - 2 \, A a b^{16} {\left| b \right|} e^{13}\right)} {\left(b x + a\right)}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}} + \frac{15 \, {\left(B b^{18} d^{3} {\left| b \right|} e^{10} - 5 \, B a b^{17} d^{2} {\left| b \right|} e^{11} + 2 \, A b^{18} d^{2} {\left| b \right|} e^{11} + 7 \, B a^{2} b^{16} d {\left| b \right|} e^{12} - 4 \, A a b^{17} d {\left| b \right|} e^{12} - 3 \, B a^{3} b^{15} {\left| b \right|} e^{13} + 2 \, A a^{2} b^{16} {\left| b \right|} e^{13}\right)}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right)} + \frac{195 \, {\left(B b^{19} d^{4} {\left| b \right|} e^{9} - 6 \, B a b^{18} d^{3} {\left| b \right|} e^{10} + 2 \, A b^{19} d^{3} {\left| b \right|} e^{10} + 12 \, B a^{2} b^{17} d^{2} {\left| b \right|} e^{11} - 6 \, A a b^{18} d^{2} {\left| b \right|} e^{11} - 10 \, B a^{3} b^{16} d {\left| b \right|} e^{12} + 6 \, A a^{2} b^{17} d {\left| b \right|} e^{12} + 3 \, B a^{4} b^{15} {\left| b \right|} e^{13} - 2 \, A a^{3} b^{16} {\left| b \right|} e^{13}\right)}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right)} {\left(b x + a\right)} + \frac{715 \, {\left(B b^{20} d^{5} {\left| b \right|} e^{8} - 7 \, B a b^{19} d^{4} {\left| b \right|} e^{9} + 2 \, A b^{20} d^{4} {\left| b \right|} e^{9} + 18 \, B a^{2} b^{18} d^{3} {\left| b \right|} e^{10} - 8 \, A a b^{19} d^{3} {\left| b \right|} e^{10} - 22 \, B a^{3} b^{17} d^{2} {\left| b \right|} e^{11} + 12 \, A a^{2} b^{18} d^{2} {\left| b \right|} e^{11} + 13 \, B a^{4} b^{16} d {\left| b \right|} e^{12} - 8 \, A a^{3} b^{17} d {\left| b \right|} e^{12} - 3 \, B a^{5} b^{15} {\left| b \right|} e^{13} + 2 \, A a^{4} b^{16} {\left| b \right|} e^{13}\right)}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right)} {\left(b x + a\right)} + \frac{6435 \, {\left(B b^{21} d^{6} {\left| b \right|} e^{7} - 8 \, B a b^{20} d^{5} {\left| b \right|} e^{8} + 2 \, A b^{21} d^{5} {\left| b \right|} e^{8} + 25 \, B a^{2} b^{19} d^{4} {\left| b \right|} e^{9} - 10 \, A a b^{20} d^{4} {\left| b \right|} e^{9} - 40 \, B a^{3} b^{18} d^{3} {\left| b \right|} e^{10} + 20 \, A a^{2} b^{19} d^{3} {\left| b \right|} e^{10} + 35 \, B a^{4} b^{17} d^{2} {\left| b \right|} e^{11} - 20 \, A a^{3} b^{18} d^{2} {\left| b \right|} e^{11} - 16 \, B a^{5} b^{16} d {\left| b \right|} e^{12} + 10 \, A a^{4} b^{17} d {\left| b \right|} e^{12} + 3 \, B a^{6} b^{15} {\left| b \right|} e^{13} - 2 \, A a^{5} b^{16} {\left| b \right|} e^{13}\right)}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right)} {\left(b x + a\right)} - \frac{9009 \, {\left(B a b^{21} d^{6} {\left| b \right|} e^{7} - A b^{22} d^{6} {\left| b \right|} e^{7} - 6 \, B a^{2} b^{20} d^{5} {\left| b \right|} e^{8} + 6 \, A a b^{21} d^{5} {\left| b \right|} e^{8} + 15 \, B a^{3} b^{19} d^{4} {\left| b \right|} e^{9} - 15 \, A a^{2} b^{20} d^{4} {\left| b \right|} e^{9} - 20 \, B a^{4} b^{18} d^{3} {\left| b \right|} e^{10} + 20 \, A a^{3} b^{19} d^{3} {\left| b \right|} e^{10} + 15 \, B a^{5} b^{17} d^{2} {\left| b \right|} e^{11} - 15 \, A a^{4} b^{18} d^{2} {\left| b \right|} e^{11} - 6 \, B a^{6} b^{16} d {\left| b \right|} e^{12} + 6 \, A a^{5} b^{17} d {\left| b \right|} e^{12} + B a^{7} b^{15} {\left| b \right|} e^{13} - A a^{6} b^{16} {\left| b \right|} e^{13}\right)}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right)} {\left(b x + a\right)}^{\frac{5}{2}}}{45045 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{15}{2}}}"," ",0,"2/45045*((8*(2*(4*(b*x + a)*(2*(B*b^17*d^2*abs(b)*e^11 - 4*B*a*b^16*d*abs(b)*e^12 + 2*A*b^17*d*abs(b)*e^12 + 3*B*a^2*b^15*abs(b)*e^13 - 2*A*a*b^16*abs(b)*e^13)*(b*x + a)/(b^9*d^7*e^7 - 7*a*b^8*d^6*e^8 + 21*a^2*b^7*d^5*e^9 - 35*a^3*b^6*d^4*e^10 + 35*a^4*b^5*d^3*e^11 - 21*a^5*b^4*d^2*e^12 + 7*a^6*b^3*d*e^13 - a^7*b^2*e^14) + 15*(B*b^18*d^3*abs(b)*e^10 - 5*B*a*b^17*d^2*abs(b)*e^11 + 2*A*b^18*d^2*abs(b)*e^11 + 7*B*a^2*b^16*d*abs(b)*e^12 - 4*A*a*b^17*d*abs(b)*e^12 - 3*B*a^3*b^15*abs(b)*e^13 + 2*A*a^2*b^16*abs(b)*e^13)/(b^9*d^7*e^7 - 7*a*b^8*d^6*e^8 + 21*a^2*b^7*d^5*e^9 - 35*a^3*b^6*d^4*e^10 + 35*a^4*b^5*d^3*e^11 - 21*a^5*b^4*d^2*e^12 + 7*a^6*b^3*d*e^13 - a^7*b^2*e^14)) + 195*(B*b^19*d^4*abs(b)*e^9 - 6*B*a*b^18*d^3*abs(b)*e^10 + 2*A*b^19*d^3*abs(b)*e^10 + 12*B*a^2*b^17*d^2*abs(b)*e^11 - 6*A*a*b^18*d^2*abs(b)*e^11 - 10*B*a^3*b^16*d*abs(b)*e^12 + 6*A*a^2*b^17*d*abs(b)*e^12 + 3*B*a^4*b^15*abs(b)*e^13 - 2*A*a^3*b^16*abs(b)*e^13)/(b^9*d^7*e^7 - 7*a*b^8*d^6*e^8 + 21*a^2*b^7*d^5*e^9 - 35*a^3*b^6*d^4*e^10 + 35*a^4*b^5*d^3*e^11 - 21*a^5*b^4*d^2*e^12 + 7*a^6*b^3*d*e^13 - a^7*b^2*e^14))*(b*x + a) + 715*(B*b^20*d^5*abs(b)*e^8 - 7*B*a*b^19*d^4*abs(b)*e^9 + 2*A*b^20*d^4*abs(b)*e^9 + 18*B*a^2*b^18*d^3*abs(b)*e^10 - 8*A*a*b^19*d^3*abs(b)*e^10 - 22*B*a^3*b^17*d^2*abs(b)*e^11 + 12*A*a^2*b^18*d^2*abs(b)*e^11 + 13*B*a^4*b^16*d*abs(b)*e^12 - 8*A*a^3*b^17*d*abs(b)*e^12 - 3*B*a^5*b^15*abs(b)*e^13 + 2*A*a^4*b^16*abs(b)*e^13)/(b^9*d^7*e^7 - 7*a*b^8*d^6*e^8 + 21*a^2*b^7*d^5*e^9 - 35*a^3*b^6*d^4*e^10 + 35*a^4*b^5*d^3*e^11 - 21*a^5*b^4*d^2*e^12 + 7*a^6*b^3*d*e^13 - a^7*b^2*e^14))*(b*x + a) + 6435*(B*b^21*d^6*abs(b)*e^7 - 8*B*a*b^20*d^5*abs(b)*e^8 + 2*A*b^21*d^5*abs(b)*e^8 + 25*B*a^2*b^19*d^4*abs(b)*e^9 - 10*A*a*b^20*d^4*abs(b)*e^9 - 40*B*a^3*b^18*d^3*abs(b)*e^10 + 20*A*a^2*b^19*d^3*abs(b)*e^10 + 35*B*a^4*b^17*d^2*abs(b)*e^11 - 20*A*a^3*b^18*d^2*abs(b)*e^11 - 16*B*a^5*b^16*d*abs(b)*e^12 + 10*A*a^4*b^17*d*abs(b)*e^12 + 3*B*a^6*b^15*abs(b)*e^13 - 2*A*a^5*b^16*abs(b)*e^13)/(b^9*d^7*e^7 - 7*a*b^8*d^6*e^8 + 21*a^2*b^7*d^5*e^9 - 35*a^3*b^6*d^4*e^10 + 35*a^4*b^5*d^3*e^11 - 21*a^5*b^4*d^2*e^12 + 7*a^6*b^3*d*e^13 - a^7*b^2*e^14))*(b*x + a) - 9009*(B*a*b^21*d^6*abs(b)*e^7 - A*b^22*d^6*abs(b)*e^7 - 6*B*a^2*b^20*d^5*abs(b)*e^8 + 6*A*a*b^21*d^5*abs(b)*e^8 + 15*B*a^3*b^19*d^4*abs(b)*e^9 - 15*A*a^2*b^20*d^4*abs(b)*e^9 - 20*B*a^4*b^18*d^3*abs(b)*e^10 + 20*A*a^3*b^19*d^3*abs(b)*e^10 + 15*B*a^5*b^17*d^2*abs(b)*e^11 - 15*A*a^4*b^18*d^2*abs(b)*e^11 - 6*B*a^6*b^16*d*abs(b)*e^12 + 6*A*a^5*b^17*d*abs(b)*e^12 + B*a^7*b^15*abs(b)*e^13 - A*a^6*b^16*abs(b)*e^13)/(b^9*d^7*e^7 - 7*a*b^8*d^6*e^8 + 21*a^2*b^7*d^5*e^9 - 35*a^3*b^6*d^4*e^10 + 35*a^4*b^5*d^3*e^11 - 21*a^5*b^4*d^2*e^12 + 7*a^6*b^3*d*e^13 - a^7*b^2*e^14))*(b*x + a)^(5/2)/(b^2*d + (b*x + a)*b*e - a*b*e)^(15/2)","B",0
2223,1,6900,0,8.224153," ","integrate((b*x+a)^(5/2)*(B*x+A)*(e*x+d)^(5/2),x, algorithm=""giac"")","\frac{13440 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A a d^{2} {\left| b \right|} + 1680 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B a d^{2} {\left| b \right|} - \frac{107520 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} A a^{3} d^{2} {\left| b \right|}}{b^{2}} + \frac{13440 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B a^{2} d^{2} {\left| b \right|}}{b} + 560 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} A b d^{2} {\left| b \right|} + 56 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} B b d^{2} {\left| b \right|} + 3360 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} A a d {\left| b \right|} e + 336 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} B a d {\left| b \right|} e + \frac{8960 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B a^{3} d {\left| b \right|} e}{b^{2}} + \frac{26880 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A a^{2} d {\left| b \right|} e}{b} + \frac{3360 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B a^{2} d {\left| b \right|} e}{b} + 112 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} A b d {\left| b \right|} e + 28 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{30} d e^{9} - 61 \, a b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} - \frac{3 \, {\left(3 \, b^{31} d^{2} e^{8} + 14 \, a b^{30} d e^{9} - 417 \, a^{2} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} + \frac{{\left(21 \, b^{32} d^{3} e^{7} + 77 \, a b^{31} d^{2} e^{8} + 183 \, a^{2} b^{30} d e^{9} - 3481 \, a^{3} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} {\left(b x + a\right)} - \frac{5 \, {\left(21 \, b^{33} d^{4} e^{6} + 56 \, a b^{32} d^{3} e^{7} + 106 \, a^{2} b^{31} d^{2} e^{8} + 176 \, a^{3} b^{30} d e^{9} - 2279 \, a^{4} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} {\left(b x + a\right)} + \frac{15 \, {\left(21 \, b^{34} d^{5} e^{5} + 35 \, a b^{33} d^{4} e^{6} + 50 \, a^{2} b^{32} d^{3} e^{7} + 70 \, a^{3} b^{31} d^{2} e^{8} + 105 \, a^{4} b^{30} d e^{9} - 793 \, a^{5} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} \sqrt{b x + a} + \frac{15 \, {\left(21 \, b^{6} d^{6} + 14 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} + 20 \, a^{3} b^{3} d^{3} e^{3} + 35 \, a^{4} b^{2} d^{2} e^{4} + 126 \, a^{5} b d e^{5} - 231 \, a^{6} e^{6}\right)} e^{\left(-\frac{11}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{9}{2}}}\right)} B b d {\left| b \right|} e + \frac{26880 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} B a^{3} d^{2} {\left| b \right|}}{b^{3}} + \frac{80640 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A a^{2} d^{2} {\left| b \right|}}{b^{2}} + 168 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} A a {\left| b \right|} e^{2} + 42 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{30} d e^{9} - 61 \, a b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} - \frac{3 \, {\left(3 \, b^{31} d^{2} e^{8} + 14 \, a b^{30} d e^{9} - 417 \, a^{2} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} + \frac{{\left(21 \, b^{32} d^{3} e^{7} + 77 \, a b^{31} d^{2} e^{8} + 183 \, a^{2} b^{30} d e^{9} - 3481 \, a^{3} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} {\left(b x + a\right)} - \frac{5 \, {\left(21 \, b^{33} d^{4} e^{6} + 56 \, a b^{32} d^{3} e^{7} + 106 \, a^{2} b^{31} d^{2} e^{8} + 176 \, a^{3} b^{30} d e^{9} - 2279 \, a^{4} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} {\left(b x + a\right)} + \frac{15 \, {\left(21 \, b^{34} d^{5} e^{5} + 35 \, a b^{33} d^{4} e^{6} + 50 \, a^{2} b^{32} d^{3} e^{7} + 70 \, a^{3} b^{31} d^{2} e^{8} + 105 \, a^{4} b^{30} d e^{9} - 793 \, a^{5} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} \sqrt{b x + a} + \frac{15 \, {\left(21 \, b^{6} d^{6} + 14 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} + 20 \, a^{3} b^{3} d^{3} e^{3} + 35 \, a^{4} b^{2} d^{2} e^{4} + 126 \, a^{5} b d e^{5} - 231 \, a^{6} e^{6}\right)} e^{\left(-\frac{11}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{9}{2}}}\right)} B a {\left| b \right|} e^{2} + \frac{4480 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A a^{3} {\left| b \right|} e^{2}}{b^{2}} + \frac{560 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B a^{3} {\left| b \right|} e^{2}}{b^{2}} + \frac{1680 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} A a^{2} {\left| b \right|} e^{2}}{b} + \frac{168 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} B a^{2} {\left| b \right|} e^{2}}{b} + 14 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{30} d e^{9} - 61 \, a b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} - \frac{3 \, {\left(3 \, b^{31} d^{2} e^{8} + 14 \, a b^{30} d e^{9} - 417 \, a^{2} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} + \frac{{\left(21 \, b^{32} d^{3} e^{7} + 77 \, a b^{31} d^{2} e^{8} + 183 \, a^{2} b^{30} d e^{9} - 3481 \, a^{3} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} {\left(b x + a\right)} - \frac{5 \, {\left(21 \, b^{33} d^{4} e^{6} + 56 \, a b^{32} d^{3} e^{7} + 106 \, a^{2} b^{31} d^{2} e^{8} + 176 \, a^{3} b^{30} d e^{9} - 2279 \, a^{4} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} {\left(b x + a\right)} + \frac{15 \, {\left(21 \, b^{34} d^{5} e^{5} + 35 \, a b^{33} d^{4} e^{6} + 50 \, a^{2} b^{32} d^{3} e^{7} + 70 \, a^{3} b^{31} d^{2} e^{8} + 105 \, a^{4} b^{30} d e^{9} - 793 \, a^{5} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} \sqrt{b x + a} + \frac{15 \, {\left(21 \, b^{6} d^{6} + 14 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} + 20 \, a^{3} b^{3} d^{3} e^{3} + 35 \, a^{4} b^{2} d^{2} e^{4} + 126 \, a^{5} b d e^{5} - 231 \, a^{6} e^{6}\right)} e^{\left(-\frac{11}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{9}{2}}}\right)} A b {\left| b \right|} e^{2} + {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, {\left(4 \, {\left(2 \, {\left(8 \, {\left(b x + a\right)} {\left(10 \, {\left(b x + a\right)} {\left(\frac{12 \, {\left(b x + a\right)}}{b^{6}} + \frac{{\left(b^{42} d e^{11} - 85 \, a b^{41} e^{12}\right)} e^{\left(-12\right)}}{b^{47}}\right)} - \frac{{\left(11 \, b^{43} d^{2} e^{10} + 62 \, a b^{42} d e^{11} - 2593 \, a^{2} b^{41} e^{12}\right)} e^{\left(-12\right)}}{b^{47}}\right)} + \frac{3 \, {\left(33 \, b^{44} d^{3} e^{9} + 153 \, a b^{43} d^{2} e^{10} + 435 \, a^{2} b^{42} d e^{11} - 11821 \, a^{3} b^{41} e^{12}\right)} e^{\left(-12\right)}}{b^{47}}\right)} {\left(b x + a\right)} - \frac{7 \, {\left(33 \, b^{45} d^{4} e^{8} + 120 \, a b^{44} d^{3} e^{9} + 282 \, a^{2} b^{43} d^{2} e^{10} + 544 \, a^{3} b^{42} d e^{11} - 10579 \, a^{4} b^{41} e^{12}\right)} e^{\left(-12\right)}}{b^{47}}\right)} {\left(b x + a\right)} + \frac{35 \, {\left(33 \, b^{46} d^{5} e^{7} + 87 \, a b^{45} d^{4} e^{8} + 162 \, a^{2} b^{44} d^{3} e^{9} + 262 \, a^{3} b^{43} d^{2} e^{10} + 397 \, a^{4} b^{42} d e^{11} - 5549 \, a^{5} b^{41} e^{12}\right)} e^{\left(-12\right)}}{b^{47}}\right)} {\left(b x + a\right)} - \frac{105 \, {\left(33 \, b^{47} d^{6} e^{6} + 54 \, a b^{46} d^{5} e^{7} + 75 \, a^{2} b^{45} d^{4} e^{8} + 100 \, a^{3} b^{44} d^{3} e^{9} + 135 \, a^{4} b^{43} d^{2} e^{10} + 198 \, a^{5} b^{42} d e^{11} - 1619 \, a^{6} b^{41} e^{12}\right)} e^{\left(-12\right)}}{b^{47}}\right)} \sqrt{b x + a} - \frac{105 \, {\left(33 \, b^{7} d^{7} + 21 \, a b^{6} d^{6} e + 21 \, a^{2} b^{5} d^{5} e^{2} + 25 \, a^{3} b^{4} d^{4} e^{3} + 35 \, a^{4} b^{3} d^{3} e^{4} + 63 \, a^{5} b^{2} d^{2} e^{5} + 231 \, a^{6} b d e^{6} - 429 \, a^{7} e^{7}\right)} e^{\left(-\frac{13}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{11}{2}}}\right)} B b {\left| b \right|} e^{2} + \frac{53760 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A a^{3} d {\left| b \right|} e}{b^{3}}}{107520 \, b}"," ",0,"1/107520*(13440*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*a*d^2*abs(b) + 1680*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*a*d^2*abs(b) - 107520*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*A*a^3*d^2*abs(b)/b^2 + 13440*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*a^2*d^2*abs(b)/b + 560*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*A*b*d^2*abs(b) + 56*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*B*b*d^2*abs(b) + 3360*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*A*a*d*abs(b)*e + 336*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*B*a*d*abs(b)*e + 8960*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*a^3*d*abs(b)*e/b^2 + 26880*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*a^2*d*abs(b)*e/b + 3360*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*a^2*d*abs(b)*e/b + 112*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*A*b*d*abs(b)*e + 28*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(2*(b*x + a)*(8*(b*x + a)*(10*(b*x + a)/b^5 + (b^30*d*e^9 - 61*a*b^29*e^10)*e^(-10)/b^34) - 3*(3*b^31*d^2*e^8 + 14*a*b^30*d*e^9 - 417*a^2*b^29*e^10)*e^(-10)/b^34) + (21*b^32*d^3*e^7 + 77*a*b^31*d^2*e^8 + 183*a^2*b^30*d*e^9 - 3481*a^3*b^29*e^10)*e^(-10)/b^34)*(b*x + a) - 5*(21*b^33*d^4*e^6 + 56*a*b^32*d^3*e^7 + 106*a^2*b^31*d^2*e^8 + 176*a^3*b^30*d*e^9 - 2279*a^4*b^29*e^10)*e^(-10)/b^34)*(b*x + a) + 15*(21*b^34*d^5*e^5 + 35*a*b^33*d^4*e^6 + 50*a^2*b^32*d^3*e^7 + 70*a^3*b^31*d^2*e^8 + 105*a^4*b^30*d*e^9 - 793*a^5*b^29*e^10)*e^(-10)/b^34)*sqrt(b*x + a) + 15*(21*b^6*d^6 + 14*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 + 20*a^3*b^3*d^3*e^3 + 35*a^4*b^2*d^2*e^4 + 126*a^5*b*d*e^5 - 231*a^6*e^6)*e^(-11/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(9/2))*B*b*d*abs(b)*e + 26880*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*B*a^3*d^2*abs(b)/b^3 + 80640*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*a^2*d^2*abs(b)/b^2 + 168*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*A*a*abs(b)*e^2 + 42*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(2*(b*x + a)*(8*(b*x + a)*(10*(b*x + a)/b^5 + (b^30*d*e^9 - 61*a*b^29*e^10)*e^(-10)/b^34) - 3*(3*b^31*d^2*e^8 + 14*a*b^30*d*e^9 - 417*a^2*b^29*e^10)*e^(-10)/b^34) + (21*b^32*d^3*e^7 + 77*a*b^31*d^2*e^8 + 183*a^2*b^30*d*e^9 - 3481*a^3*b^29*e^10)*e^(-10)/b^34)*(b*x + a) - 5*(21*b^33*d^4*e^6 + 56*a*b^32*d^3*e^7 + 106*a^2*b^31*d^2*e^8 + 176*a^3*b^30*d*e^9 - 2279*a^4*b^29*e^10)*e^(-10)/b^34)*(b*x + a) + 15*(21*b^34*d^5*e^5 + 35*a*b^33*d^4*e^6 + 50*a^2*b^32*d^3*e^7 + 70*a^3*b^31*d^2*e^8 + 105*a^4*b^30*d*e^9 - 793*a^5*b^29*e^10)*e^(-10)/b^34)*sqrt(b*x + a) + 15*(21*b^6*d^6 + 14*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 + 20*a^3*b^3*d^3*e^3 + 35*a^4*b^2*d^2*e^4 + 126*a^5*b*d*e^5 - 231*a^6*e^6)*e^(-11/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(9/2))*B*a*abs(b)*e^2 + 4480*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*a^3*abs(b)*e^2/b^2 + 560*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*a^3*abs(b)*e^2/b^2 + 1680*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*A*a^2*abs(b)*e^2/b + 168*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*B*a^2*abs(b)*e^2/b + 14*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(2*(b*x + a)*(8*(b*x + a)*(10*(b*x + a)/b^5 + (b^30*d*e^9 - 61*a*b^29*e^10)*e^(-10)/b^34) - 3*(3*b^31*d^2*e^8 + 14*a*b^30*d*e^9 - 417*a^2*b^29*e^10)*e^(-10)/b^34) + (21*b^32*d^3*e^7 + 77*a*b^31*d^2*e^8 + 183*a^2*b^30*d*e^9 - 3481*a^3*b^29*e^10)*e^(-10)/b^34)*(b*x + a) - 5*(21*b^33*d^4*e^6 + 56*a*b^32*d^3*e^7 + 106*a^2*b^31*d^2*e^8 + 176*a^3*b^30*d*e^9 - 2279*a^4*b^29*e^10)*e^(-10)/b^34)*(b*x + a) + 15*(21*b^34*d^5*e^5 + 35*a*b^33*d^4*e^6 + 50*a^2*b^32*d^3*e^7 + 70*a^3*b^31*d^2*e^8 + 105*a^4*b^30*d*e^9 - 793*a^5*b^29*e^10)*e^(-10)/b^34)*sqrt(b*x + a) + 15*(21*b^6*d^6 + 14*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 + 20*a^3*b^3*d^3*e^3 + 35*a^4*b^2*d^2*e^4 + 126*a^5*b*d*e^5 - 231*a^6*e^6)*e^(-11/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(9/2))*A*b*abs(b)*e^2 + (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(2*(8*(b*x + a)*(10*(b*x + a)*(12*(b*x + a)/b^6 + (b^42*d*e^11 - 85*a*b^41*e^12)*e^(-12)/b^47) - (11*b^43*d^2*e^10 + 62*a*b^42*d*e^11 - 2593*a^2*b^41*e^12)*e^(-12)/b^47) + 3*(33*b^44*d^3*e^9 + 153*a*b^43*d^2*e^10 + 435*a^2*b^42*d*e^11 - 11821*a^3*b^41*e^12)*e^(-12)/b^47)*(b*x + a) - 7*(33*b^45*d^4*e^8 + 120*a*b^44*d^3*e^9 + 282*a^2*b^43*d^2*e^10 + 544*a^3*b^42*d*e^11 - 10579*a^4*b^41*e^12)*e^(-12)/b^47)*(b*x + a) + 35*(33*b^46*d^5*e^7 + 87*a*b^45*d^4*e^8 + 162*a^2*b^44*d^3*e^9 + 262*a^3*b^43*d^2*e^10 + 397*a^4*b^42*d*e^11 - 5549*a^5*b^41*e^12)*e^(-12)/b^47)*(b*x + a) - 105*(33*b^47*d^6*e^6 + 54*a*b^46*d^5*e^7 + 75*a^2*b^45*d^4*e^8 + 100*a^3*b^44*d^3*e^9 + 135*a^4*b^43*d^2*e^10 + 198*a^5*b^42*d*e^11 - 1619*a^6*b^41*e^12)*e^(-12)/b^47)*sqrt(b*x + a) - 105*(33*b^7*d^7 + 21*a*b^6*d^6*e + 21*a^2*b^5*d^5*e^2 + 25*a^3*b^4*d^4*e^3 + 35*a^4*b^3*d^3*e^4 + 63*a^5*b^2*d^2*e^5 + 231*a^6*b*d*e^6 - 429*a^7*e^7)*e^(-13/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(11/2))*B*b*abs(b)*e^2 + 53760*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*a^3*d*abs(b)*e/b^3)/b","B",0
2224,1,3935,0,5.272482," ","integrate((b*x+a)^(5/2)*(B*x+A)*(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{960 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A a d {\left| b \right|} + 120 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B a d {\left| b \right|} - \frac{7680 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} A a^{3} d {\left| b \right|}}{b^{2}} + \frac{960 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B a^{2} d {\left| b \right|}}{b} + 40 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} A b d {\left| b \right|} + 4 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} B b d {\left| b \right|} + 120 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} A a {\left| b \right|} e + 12 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} B a {\left| b \right|} e + \frac{320 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B a^{3} {\left| b \right|} e}{b^{2}} + \frac{960 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A a^{2} {\left| b \right|} e}{b} + \frac{120 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B a^{2} {\left| b \right|} e}{b} + 4 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} A b {\left| b \right|} e + {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{30} d e^{9} - 61 \, a b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} - \frac{3 \, {\left(3 \, b^{31} d^{2} e^{8} + 14 \, a b^{30} d e^{9} - 417 \, a^{2} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} + \frac{{\left(21 \, b^{32} d^{3} e^{7} + 77 \, a b^{31} d^{2} e^{8} + 183 \, a^{2} b^{30} d e^{9} - 3481 \, a^{3} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} {\left(b x + a\right)} - \frac{5 \, {\left(21 \, b^{33} d^{4} e^{6} + 56 \, a b^{32} d^{3} e^{7} + 106 \, a^{2} b^{31} d^{2} e^{8} + 176 \, a^{3} b^{30} d e^{9} - 2279 \, a^{4} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} {\left(b x + a\right)} + \frac{15 \, {\left(21 \, b^{34} d^{5} e^{5} + 35 \, a b^{33} d^{4} e^{6} + 50 \, a^{2} b^{32} d^{3} e^{7} + 70 \, a^{3} b^{31} d^{2} e^{8} + 105 \, a^{4} b^{30} d e^{9} - 793 \, a^{5} b^{29} e^{10}\right)} e^{\left(-10\right)}}{b^{34}}\right)} \sqrt{b x + a} + \frac{15 \, {\left(21 \, b^{6} d^{6} + 14 \, a b^{5} d^{5} e + 15 \, a^{2} b^{4} d^{4} e^{2} + 20 \, a^{3} b^{3} d^{3} e^{3} + 35 \, a^{4} b^{2} d^{2} e^{4} + 126 \, a^{5} b d e^{5} - 231 \, a^{6} e^{6}\right)} e^{\left(-\frac{11}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{9}{2}}}\right)} B b {\left| b \right|} e + \frac{1920 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} B a^{3} d {\left| b \right|}}{b^{3}} + \frac{5760 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A a^{2} d {\left| b \right|}}{b^{2}} + \frac{1920 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A a^{3} {\left| b \right|} e}{b^{3}}}{7680 \, b}"," ",0,"1/7680*(960*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*a*d*abs(b) + 120*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*a*d*abs(b) - 7680*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*A*a^3*d*abs(b)/b^2 + 960*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*a^2*d*abs(b)/b + 40*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*A*b*d*abs(b) + 4*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*B*b*d*abs(b) + 120*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*A*a*abs(b)*e + 12*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*B*a*abs(b)*e + 320*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*a^3*abs(b)*e/b^2 + 960*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*a^2*abs(b)*e/b + 120*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*a^2*abs(b)*e/b + 4*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*A*b*abs(b)*e + (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(2*(b*x + a)*(8*(b*x + a)*(10*(b*x + a)/b^5 + (b^30*d*e^9 - 61*a*b^29*e^10)*e^(-10)/b^34) - 3*(3*b^31*d^2*e^8 + 14*a*b^30*d*e^9 - 417*a^2*b^29*e^10)*e^(-10)/b^34) + (21*b^32*d^3*e^7 + 77*a*b^31*d^2*e^8 + 183*a^2*b^30*d*e^9 - 3481*a^3*b^29*e^10)*e^(-10)/b^34)*(b*x + a) - 5*(21*b^33*d^4*e^6 + 56*a*b^32*d^3*e^7 + 106*a^2*b^31*d^2*e^8 + 176*a^3*b^30*d*e^9 - 2279*a^4*b^29*e^10)*e^(-10)/b^34)*(b*x + a) + 15*(21*b^34*d^5*e^5 + 35*a*b^33*d^4*e^6 + 50*a^2*b^32*d^3*e^7 + 70*a^3*b^31*d^2*e^8 + 105*a^4*b^30*d*e^9 - 793*a^5*b^29*e^10)*e^(-10)/b^34)*sqrt(b*x + a) + 15*(21*b^6*d^6 + 14*a*b^5*d^5*e + 15*a^2*b^4*d^4*e^2 + 20*a^3*b^3*d^3*e^3 + 35*a^4*b^2*d^2*e^4 + 126*a^5*b*d*e^5 - 231*a^6*e^6)*e^(-11/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(9/2))*B*b*abs(b)*e + 1920*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*B*a^3*d*abs(b)/b^3 + 5760*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*a^2*d*abs(b)/b^2 + 1920*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*a^3*abs(b)*e/b^3)/b","B",0
2225,1,1670,0,2.957951," ","integrate((b*x+a)^(5/2)*(B*x+A)*(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{240 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A a {\left| b \right|} + 30 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B a {\left| b \right|} - \frac{1920 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} A a^{3} {\left| b \right|}}{b^{2}} + \frac{240 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B a^{2} {\left| b \right|}}{b} + 10 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} A b {\left| b \right|} + {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{20} d e^{7} - 41 \, a b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} - \frac{{\left(7 \, b^{21} d^{2} e^{6} + 26 \, a b^{20} d e^{7} - 513 \, a^{2} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} + \frac{5 \, {\left(7 \, b^{22} d^{3} e^{5} + 19 \, a b^{21} d^{2} e^{6} + 37 \, a^{2} b^{20} d e^{7} - 447 \, a^{3} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, b^{23} d^{4} e^{4} + 12 \, a b^{22} d^{3} e^{5} + 18 \, a^{2} b^{21} d^{2} e^{6} + 28 \, a^{3} b^{20} d e^{7} - 193 \, a^{4} b^{19} e^{8}\right)} e^{\left(-8\right)}}{b^{23}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, b^{5} d^{5} + 5 \, a b^{4} d^{4} e + 6 \, a^{2} b^{3} d^{3} e^{2} + 10 \, a^{3} b^{2} d^{2} e^{3} + 35 \, a^{4} b d e^{4} - 63 \, a^{5} e^{5}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{7}{2}}}\right)} B b {\left| b \right|} + \frac{480 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} B a^{3} {\left| b \right|}}{b^{3}} + \frac{1440 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A a^{2} {\left| b \right|}}{b^{2}}}{1920 \, b}"," ",0,"1/1920*(240*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*a*abs(b) + 30*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*a*abs(b) - 1920*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*A*a^3*abs(b)/b^2 + 240*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*a^2*abs(b)/b + 10*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*A*b*abs(b) + (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(4*(b*x + a)*(6*(b*x + a)*(8*(b*x + a)/b^4 + (b^20*d*e^7 - 41*a*b^19*e^8)*e^(-8)/b^23) - (7*b^21*d^2*e^6 + 26*a*b^20*d*e^7 - 513*a^2*b^19*e^8)*e^(-8)/b^23) + 5*(7*b^22*d^3*e^5 + 19*a*b^21*d^2*e^6 + 37*a^2*b^20*d*e^7 - 447*a^3*b^19*e^8)*e^(-8)/b^23)*(b*x + a) - 15*(7*b^23*d^4*e^4 + 12*a*b^22*d^3*e^5 + 18*a^2*b^21*d^2*e^6 + 28*a^3*b^20*d*e^7 - 193*a^4*b^19*e^8)*e^(-8)/b^23)*sqrt(b*x + a) - 15*(7*b^5*d^5 + 5*a*b^4*d^4*e + 6*a^2*b^3*d^3*e^2 + 10*a^3*b^2*d^2*e^3 + 35*a^4*b*d*e^4 - 63*a^5*e^5)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(7/2))*B*b*abs(b) + 480*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*B*a^3*abs(b)/b^3 + 1440*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*a^2*abs(b)/b^2)/b","B",0
2226,1,390,0,1.627781," ","integrate((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, {\left(b x + a\right)} {\left(4 \, {\left(b x + a\right)} {\left(\frac{6 \, {\left(b x + a\right)} B e^{\left(-1\right)}}{b^{2}} - \frac{{\left(7 \, B b^{3} d e^{5} + B a b^{2} e^{6} - 8 \, A b^{3} e^{6}\right)} e^{\left(-7\right)}}{b^{4}}\right)} + \frac{5 \, {\left(7 \, B b^{4} d^{2} e^{4} - 6 \, B a b^{3} d e^{5} - 8 \, A b^{4} d e^{5} - B a^{2} b^{2} e^{6} + 8 \, A a b^{3} e^{6}\right)} e^{\left(-7\right)}}{b^{4}}\right)} - \frac{15 \, {\left(7 \, B b^{5} d^{3} e^{3} - 13 \, B a b^{4} d^{2} e^{4} - 8 \, A b^{5} d^{2} e^{4} + 5 \, B a^{2} b^{3} d e^{5} + 16 \, A a b^{4} d e^{5} + B a^{3} b^{2} e^{6} - 8 \, A a^{2} b^{3} e^{6}\right)} e^{\left(-7\right)}}{b^{4}}\right)} \sqrt{b x + a} - \frac{15 \, {\left(7 \, B b^{4} d^{4} - 20 \, B a b^{3} d^{3} e - 8 \, A b^{4} d^{3} e + 18 \, B a^{2} b^{2} d^{2} e^{2} + 24 \, A a b^{3} d^{2} e^{2} - 4 \, B a^{3} b d e^{3} - 24 \, A a^{2} b^{2} d e^{3} - B a^{4} e^{4} + 8 \, A a^{3} b e^{4}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} b}{192 \, {\left| b \right|}}"," ",0,"1/192*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)*B*e^(-1)/b^2 - (7*B*b^3*d*e^5 + B*a*b^2*e^6 - 8*A*b^3*e^6)*e^(-7)/b^4) + 5*(7*B*b^4*d^2*e^4 - 6*B*a*b^3*d*e^5 - 8*A*b^4*d*e^5 - B*a^2*b^2*e^6 + 8*A*a*b^3*e^6)*e^(-7)/b^4) - 15*(7*B*b^5*d^3*e^3 - 13*B*a*b^4*d^2*e^4 - 8*A*b^5*d^2*e^4 + 5*B*a^2*b^3*d*e^5 + 16*A*a*b^4*d*e^5 + B*a^3*b^2*e^6 - 8*A*a^2*b^3*e^6)*e^(-7)/b^4)*sqrt(b*x + a) - 15*(7*B*b^4*d^4 - 20*B*a*b^3*d^3*e - 8*A*b^4*d^3*e + 18*B*a^2*b^2*d^2*e^2 + 24*A*a*b^3*d^2*e^2 - 4*B*a^3*b*d*e^3 - 24*A*a^2*b^2*d*e^3 - B*a^4*e^4 + 8*A*a^3*b*e^4)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*b/abs(b)","A",0
2227,1,396,0,2.104287," ","integrate((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{5 \, {\left(7 \, B b^{3} d^{3} {\left| b \right|} - 15 \, B a b^{2} d^{2} {\left| b \right|} e - 6 \, A b^{3} d^{2} {\left| b \right|} e + 9 \, B a^{2} b d {\left| b \right|} e^{2} + 12 \, A a b^{2} d {\left| b \right|} e^{2} - B a^{3} {\left| b \right|} e^{3} - 6 \, A a^{2} b {\left| b \right|} e^{3}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{8 \, b^{\frac{3}{2}}} + \frac{{\left({\left(2 \, {\left(\frac{4 \, {\left(b x + a\right)} B {\left| b \right|} e^{\left(-1\right)}}{b} - \frac{{\left(7 \, B b^{2} d {\left| b \right|} e^{5} - B a b {\left| b \right|} e^{6} - 6 \, A b^{2} {\left| b \right|} e^{6}\right)} e^{\left(-7\right)}}{b^{2}}\right)} {\left(b x + a\right)} + \frac{5 \, {\left(7 \, B b^{3} d^{2} {\left| b \right|} e^{4} - 8 \, B a b^{2} d {\left| b \right|} e^{5} - 6 \, A b^{3} d {\left| b \right|} e^{5} + B a^{2} b {\left| b \right|} e^{6} + 6 \, A a b^{2} {\left| b \right|} e^{6}\right)} e^{\left(-7\right)}}{b^{2}}\right)} {\left(b x + a\right)} + \frac{15 \, {\left(7 \, B b^{4} d^{3} {\left| b \right|} e^{3} - 15 \, B a b^{3} d^{2} {\left| b \right|} e^{4} - 6 \, A b^{4} d^{2} {\left| b \right|} e^{4} + 9 \, B a^{2} b^{2} d {\left| b \right|} e^{5} + 12 \, A a b^{3} d {\left| b \right|} e^{5} - B a^{3} b {\left| b \right|} e^{6} - 6 \, A a^{2} b^{2} {\left| b \right|} e^{6}\right)} e^{\left(-7\right)}}{b^{2}}\right)} \sqrt{b x + a}}{24 \, \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}}"," ",0,"5/8*(7*B*b^3*d^3*abs(b) - 15*B*a*b^2*d^2*abs(b)*e - 6*A*b^3*d^2*abs(b)*e + 9*B*a^2*b*d*abs(b)*e^2 + 12*A*a*b^2*d*abs(b)*e^2 - B*a^3*abs(b)*e^3 - 6*A*a^2*b*abs(b)*e^3)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2) + 1/24*((2*(4*(b*x + a)*B*abs(b)*e^(-1)/b - (7*B*b^2*d*abs(b)*e^5 - B*a*b*abs(b)*e^6 - 6*A*b^2*abs(b)*e^6)*e^(-7)/b^2)*(b*x + a) + 5*(7*B*b^3*d^2*abs(b)*e^4 - 8*B*a*b^2*d*abs(b)*e^5 - 6*A*b^3*d*abs(b)*e^5 + B*a^2*b*abs(b)*e^6 + 6*A*a*b^2*abs(b)*e^6)*e^(-7)/b^2)*(b*x + a) + 15*(7*B*b^4*d^3*abs(b)*e^3 - 15*B*a*b^3*d^2*abs(b)*e^4 - 6*A*b^4*d^2*abs(b)*e^4 + 9*B*a^2*b^2*d*abs(b)*e^5 + 12*A*a*b^3*d*abs(b)*e^5 - B*a^3*b*abs(b)*e^6 - 6*A*a^2*b^2*abs(b)*e^6)*e^(-7)/b^2)*sqrt(b*x + a)/sqrt(b^2*d + (b*x + a)*b*e - a*b*e)","A",0
2228,1,534,0,2.409081," ","integrate((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(5/2),x, algorithm=""giac"")","-\frac{5 \, {\left(7 \, B b^{2} d^{2} {\left| b \right|} - 10 \, B a b d {\left| b \right|} e - 4 \, A b^{2} d {\left| b \right|} e + 3 \, B a^{2} {\left| b \right|} e^{2} + 4 \, A a b {\left| b \right|} e^{2}\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{4 \, \sqrt{b}} + \frac{{\left({\left(3 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(B b^{5} d {\left| b \right|} e^{6} - B a b^{4} {\left| b \right|} e^{7}\right)} {\left(b x + a\right)}}{b^{4} d e^{7} - a b^{3} e^{8}} - \frac{7 \, B b^{6} d^{2} {\left| b \right|} e^{5} - 10 \, B a b^{5} d {\left| b \right|} e^{6} - 4 \, A b^{6} d {\left| b \right|} e^{6} + 3 \, B a^{2} b^{4} {\left| b \right|} e^{7} + 4 \, A a b^{5} {\left| b \right|} e^{7}}{b^{4} d e^{7} - a b^{3} e^{8}}\right)} - \frac{20 \, {\left(7 \, B b^{7} d^{3} {\left| b \right|} e^{4} - 17 \, B a b^{6} d^{2} {\left| b \right|} e^{5} - 4 \, A b^{7} d^{2} {\left| b \right|} e^{5} + 13 \, B a^{2} b^{5} d {\left| b \right|} e^{6} + 8 \, A a b^{6} d {\left| b \right|} e^{6} - 3 \, B a^{3} b^{4} {\left| b \right|} e^{7} - 4 \, A a^{2} b^{5} {\left| b \right|} e^{7}\right)}}{b^{4} d e^{7} - a b^{3} e^{8}}\right)} {\left(b x + a\right)} - \frac{15 \, {\left(7 \, B b^{8} d^{4} {\left| b \right|} e^{3} - 24 \, B a b^{7} d^{3} {\left| b \right|} e^{4} - 4 \, A b^{8} d^{3} {\left| b \right|} e^{4} + 30 \, B a^{2} b^{6} d^{2} {\left| b \right|} e^{5} + 12 \, A a b^{7} d^{2} {\left| b \right|} e^{5} - 16 \, B a^{3} b^{5} d {\left| b \right|} e^{6} - 12 \, A a^{2} b^{6} d {\left| b \right|} e^{6} + 3 \, B a^{4} b^{4} {\left| b \right|} e^{7} + 4 \, A a^{3} b^{5} {\left| b \right|} e^{7}\right)}}{b^{4} d e^{7} - a b^{3} e^{8}}\right)} \sqrt{b x + a}}{12 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{3}{2}}}"," ",0,"-5/4*(7*B*b^2*d^2*abs(b) - 10*B*a*b*d*abs(b)*e - 4*A*b^2*d*abs(b)*e + 3*B*a^2*abs(b)*e^2 + 4*A*a*b*abs(b)*e^2)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + 1/12*((3*(b*x + a)*(2*(B*b^5*d*abs(b)*e^6 - B*a*b^4*abs(b)*e^7)*(b*x + a)/(b^4*d*e^7 - a*b^3*e^8) - (7*B*b^6*d^2*abs(b)*e^5 - 10*B*a*b^5*d*abs(b)*e^6 - 4*A*b^6*d*abs(b)*e^6 + 3*B*a^2*b^4*abs(b)*e^7 + 4*A*a*b^5*abs(b)*e^7)/(b^4*d*e^7 - a*b^3*e^8)) - 20*(7*B*b^7*d^3*abs(b)*e^4 - 17*B*a*b^6*d^2*abs(b)*e^5 - 4*A*b^7*d^2*abs(b)*e^5 + 13*B*a^2*b^5*d*abs(b)*e^6 + 8*A*a*b^6*d*abs(b)*e^6 - 3*B*a^3*b^4*abs(b)*e^7 - 4*A*a^2*b^5*abs(b)*e^7)/(b^4*d*e^7 - a*b^3*e^8))*(b*x + a) - 15*(7*B*b^8*d^4*abs(b)*e^3 - 24*B*a*b^7*d^3*abs(b)*e^4 - 4*A*b^8*d^3*abs(b)*e^4 + 30*B*a^2*b^6*d^2*abs(b)*e^5 + 12*A*a*b^7*d^2*abs(b)*e^5 - 16*B*a^3*b^5*d*abs(b)*e^6 - 12*A*a^2*b^6*d*abs(b)*e^6 + 3*B*a^4*b^4*abs(b)*e^7 + 4*A*a^3*b^5*abs(b)*e^7)/(b^4*d*e^7 - a*b^3*e^8))*sqrt(b*x + a)/(b^2*d + (b*x + a)*b*e - a*b*e)^(3/2)","B",0
2229,1,668,0,3.175570," ","integrate((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(7/2),x, algorithm=""giac"")","\frac{{\left(7 \, B b^{2} d {\left| b \right|} - 5 \, B a b {\left| b \right|} e - 2 \, A b^{2} {\left| b \right|} e\right)} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \frac{{\left({\left({\left(b x + a\right)} {\left(\frac{15 \, {\left(B b^{9} d^{2} {\left| b \right|} e^{6} - 2 \, B a b^{8} d {\left| b \right|} e^{7} + B a^{2} b^{7} {\left| b \right|} e^{8}\right)} {\left(b x + a\right)}}{b^{6} d^{2} e^{7} - 2 \, a b^{5} d e^{8} + a^{2} b^{4} e^{9}} + \frac{23 \, {\left(7 \, B b^{10} d^{3} {\left| b \right|} e^{5} - 19 \, B a b^{9} d^{2} {\left| b \right|} e^{6} - 2 \, A b^{10} d^{2} {\left| b \right|} e^{6} + 17 \, B a^{2} b^{8} d {\left| b \right|} e^{7} + 4 \, A a b^{9} d {\left| b \right|} e^{7} - 5 \, B a^{3} b^{7} {\left| b \right|} e^{8} - 2 \, A a^{2} b^{8} {\left| b \right|} e^{8}\right)}}{b^{6} d^{2} e^{7} - 2 \, a b^{5} d e^{8} + a^{2} b^{4} e^{9}}\right)} + \frac{35 \, {\left(7 \, B b^{11} d^{4} {\left| b \right|} e^{4} - 26 \, B a b^{10} d^{3} {\left| b \right|} e^{5} - 2 \, A b^{11} d^{3} {\left| b \right|} e^{5} + 36 \, B a^{2} b^{9} d^{2} {\left| b \right|} e^{6} + 6 \, A a b^{10} d^{2} {\left| b \right|} e^{6} - 22 \, B a^{3} b^{8} d {\left| b \right|} e^{7} - 6 \, A a^{2} b^{9} d {\left| b \right|} e^{7} + 5 \, B a^{4} b^{7} {\left| b \right|} e^{8} + 2 \, A a^{3} b^{8} {\left| b \right|} e^{8}\right)}}{b^{6} d^{2} e^{7} - 2 \, a b^{5} d e^{8} + a^{2} b^{4} e^{9}}\right)} {\left(b x + a\right)} + \frac{15 \, {\left(7 \, B b^{12} d^{5} {\left| b \right|} e^{3} - 33 \, B a b^{11} d^{4} {\left| b \right|} e^{4} - 2 \, A b^{12} d^{4} {\left| b \right|} e^{4} + 62 \, B a^{2} b^{10} d^{3} {\left| b \right|} e^{5} + 8 \, A a b^{11} d^{3} {\left| b \right|} e^{5} - 58 \, B a^{3} b^{9} d^{2} {\left| b \right|} e^{6} - 12 \, A a^{2} b^{10} d^{2} {\left| b \right|} e^{6} + 27 \, B a^{4} b^{8} d {\left| b \right|} e^{7} + 8 \, A a^{3} b^{9} d {\left| b \right|} e^{7} - 5 \, B a^{5} b^{7} {\left| b \right|} e^{8} - 2 \, A a^{4} b^{8} {\left| b \right|} e^{8}\right)}}{b^{6} d^{2} e^{7} - 2 \, a b^{5} d e^{8} + a^{2} b^{4} e^{9}}\right)} \sqrt{b x + a}}{15 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{5}{2}}}"," ",0,"(7*B*b^2*d*abs(b) - 5*B*a*b*abs(b)*e - 2*A*b^2*abs(b)*e)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + 1/15*(((b*x + a)*(15*(B*b^9*d^2*abs(b)*e^6 - 2*B*a*b^8*d*abs(b)*e^7 + B*a^2*b^7*abs(b)*e^8)*(b*x + a)/(b^6*d^2*e^7 - 2*a*b^5*d*e^8 + a^2*b^4*e^9) + 23*(7*B*b^10*d^3*abs(b)*e^5 - 19*B*a*b^9*d^2*abs(b)*e^6 - 2*A*b^10*d^2*abs(b)*e^6 + 17*B*a^2*b^8*d*abs(b)*e^7 + 4*A*a*b^9*d*abs(b)*e^7 - 5*B*a^3*b^7*abs(b)*e^8 - 2*A*a^2*b^8*abs(b)*e^8)/(b^6*d^2*e^7 - 2*a*b^5*d*e^8 + a^2*b^4*e^9)) + 35*(7*B*b^11*d^4*abs(b)*e^4 - 26*B*a*b^10*d^3*abs(b)*e^5 - 2*A*b^11*d^3*abs(b)*e^5 + 36*B*a^2*b^9*d^2*abs(b)*e^6 + 6*A*a*b^10*d^2*abs(b)*e^6 - 22*B*a^3*b^8*d*abs(b)*e^7 - 6*A*a^2*b^9*d*abs(b)*e^7 + 5*B*a^4*b^7*abs(b)*e^8 + 2*A*a^3*b^8*abs(b)*e^8)/(b^6*d^2*e^7 - 2*a*b^5*d*e^8 + a^2*b^4*e^9))*(b*x + a) + 15*(7*B*b^12*d^5*abs(b)*e^3 - 33*B*a*b^11*d^4*abs(b)*e^4 - 2*A*b^12*d^4*abs(b)*e^4 + 62*B*a^2*b^10*d^3*abs(b)*e^5 + 8*A*a*b^11*d^3*abs(b)*e^5 - 58*B*a^3*b^9*d^2*abs(b)*e^6 - 12*A*a^2*b^10*d^2*abs(b)*e^6 + 27*B*a^4*b^8*d*abs(b)*e^7 + 8*A*a^3*b^9*d*abs(b)*e^7 - 5*B*a^5*b^7*abs(b)*e^8 - 2*A*a^4*b^8*abs(b)*e^8)/(b^6*d^2*e^7 - 2*a*b^5*d*e^8 + a^2*b^4*e^9))*sqrt(b*x + a)/(b^2*d + (b*x + a)*b*e - a*b*e)^(5/2)","B",0
2230,1,635,0,4.175499," ","integrate((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(9/2),x, algorithm=""giac"")","-2 \, B b^{\frac{3}{2}} {\left| b \right|} e^{\left(-\frac{9}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right) - \frac{2 \, {\left({\left({\left(b x + a\right)} {\left(\frac{{\left(176 \, B b^{10} d^{3} {\left| b \right|} e^{6} - 513 \, B a b^{9} d^{2} {\left| b \right|} e^{7} - 15 \, A b^{10} d^{2} {\left| b \right|} e^{7} + 498 \, B a^{2} b^{8} d {\left| b \right|} e^{8} + 30 \, A a b^{9} d {\left| b \right|} e^{8} - 161 \, B a^{3} b^{7} {\left| b \right|} e^{9} - 15 \, A a^{2} b^{8} {\left| b \right|} e^{9}\right)} {\left(b x + a\right)}}{b^{5} d^{3} e^{7} - 3 \, a b^{4} d^{2} e^{8} + 3 \, a^{2} b^{3} d e^{9} - a^{3} b^{2} e^{10}} + \frac{406 \, {\left(B b^{11} d^{4} {\left| b \right|} e^{5} - 4 \, B a b^{10} d^{3} {\left| b \right|} e^{6} + 6 \, B a^{2} b^{9} d^{2} {\left| b \right|} e^{7} - 4 \, B a^{3} b^{8} d {\left| b \right|} e^{8} + B a^{4} b^{7} {\left| b \right|} e^{9}\right)}}{b^{5} d^{3} e^{7} - 3 \, a b^{4} d^{2} e^{8} + 3 \, a^{2} b^{3} d e^{9} - a^{3} b^{2} e^{10}}\right)} + \frac{350 \, {\left(B b^{12} d^{5} {\left| b \right|} e^{4} - 5 \, B a b^{11} d^{4} {\left| b \right|} e^{5} + 10 \, B a^{2} b^{10} d^{3} {\left| b \right|} e^{6} - 10 \, B a^{3} b^{9} d^{2} {\left| b \right|} e^{7} + 5 \, B a^{4} b^{8} d {\left| b \right|} e^{8} - B a^{5} b^{7} {\left| b \right|} e^{9}\right)}}{b^{5} d^{3} e^{7} - 3 \, a b^{4} d^{2} e^{8} + 3 \, a^{2} b^{3} d e^{9} - a^{3} b^{2} e^{10}}\right)} {\left(b x + a\right)} + \frac{105 \, {\left(B b^{13} d^{6} {\left| b \right|} e^{3} - 6 \, B a b^{12} d^{5} {\left| b \right|} e^{4} + 15 \, B a^{2} b^{11} d^{4} {\left| b \right|} e^{5} - 20 \, B a^{3} b^{10} d^{3} {\left| b \right|} e^{6} + 15 \, B a^{4} b^{9} d^{2} {\left| b \right|} e^{7} - 6 \, B a^{5} b^{8} d {\left| b \right|} e^{8} + B a^{6} b^{7} {\left| b \right|} e^{9}\right)}}{b^{5} d^{3} e^{7} - 3 \, a b^{4} d^{2} e^{8} + 3 \, a^{2} b^{3} d e^{9} - a^{3} b^{2} e^{10}}\right)} \sqrt{b x + a}}{105 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{7}{2}}}"," ",0,"-2*B*b^(3/2)*abs(b)*e^(-9/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e))) - 2/105*(((b*x + a)*((176*B*b^10*d^3*abs(b)*e^6 - 513*B*a*b^9*d^2*abs(b)*e^7 - 15*A*b^10*d^2*abs(b)*e^7 + 498*B*a^2*b^8*d*abs(b)*e^8 + 30*A*a*b^9*d*abs(b)*e^8 - 161*B*a^3*b^7*abs(b)*e^9 - 15*A*a^2*b^8*abs(b)*e^9)*(b*x + a)/(b^5*d^3*e^7 - 3*a*b^4*d^2*e^8 + 3*a^2*b^3*d*e^9 - a^3*b^2*e^10) + 406*(B*b^11*d^4*abs(b)*e^5 - 4*B*a*b^10*d^3*abs(b)*e^6 + 6*B*a^2*b^9*d^2*abs(b)*e^7 - 4*B*a^3*b^8*d*abs(b)*e^8 + B*a^4*b^7*abs(b)*e^9)/(b^5*d^3*e^7 - 3*a*b^4*d^2*e^8 + 3*a^2*b^3*d*e^9 - a^3*b^2*e^10)) + 350*(B*b^12*d^5*abs(b)*e^4 - 5*B*a*b^11*d^4*abs(b)*e^5 + 10*B*a^2*b^10*d^3*abs(b)*e^6 - 10*B*a^3*b^9*d^2*abs(b)*e^7 + 5*B*a^4*b^8*d*abs(b)*e^8 - B*a^5*b^7*abs(b)*e^9)/(b^5*d^3*e^7 - 3*a*b^4*d^2*e^8 + 3*a^2*b^3*d*e^9 - a^3*b^2*e^10))*(b*x + a) + 105*(B*b^13*d^6*abs(b)*e^3 - 6*B*a*b^12*d^5*abs(b)*e^4 + 15*B*a^2*b^11*d^4*abs(b)*e^5 - 20*B*a^3*b^10*d^3*abs(b)*e^6 + 15*B*a^4*b^9*d^2*abs(b)*e^7 - 6*B*a^5*b^8*d*abs(b)*e^8 + B*a^6*b^7*abs(b)*e^9)/(b^5*d^3*e^7 - 3*a*b^4*d^2*e^8 + 3*a^2*b^3*d*e^9 - a^3*b^2*e^10))*sqrt(b*x + a)/(b^2*d + (b*x + a)*b*e - a*b*e)^(7/2)","B",0
2231,1,356,0,5.765975," ","integrate((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(11/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}} {\left(\frac{{\left(7 \, B b^{12} d^{3} {\left| b \right|} e^{4} - 23 \, B a b^{11} d^{2} {\left| b \right|} e^{5} + 2 \, A b^{12} d^{2} {\left| b \right|} e^{5} + 25 \, B a^{2} b^{10} d {\left| b \right|} e^{6} - 4 \, A a b^{11} d {\left| b \right|} e^{6} - 9 \, B a^{3} b^{9} {\left| b \right|} e^{7} + 2 \, A a^{2} b^{10} {\left| b \right|} e^{7}\right)} {\left(b x + a\right)}}{b^{6} d^{4} e^{4} - 4 \, a b^{5} d^{3} e^{5} + 6 \, a^{2} b^{4} d^{2} e^{6} - 4 \, a^{3} b^{3} d e^{7} + a^{4} b^{2} e^{8}} - \frac{9 \, {\left(B a b^{12} d^{3} {\left| b \right|} e^{4} - A b^{13} d^{3} {\left| b \right|} e^{4} - 3 \, B a^{2} b^{11} d^{2} {\left| b \right|} e^{5} + 3 \, A a b^{12} d^{2} {\left| b \right|} e^{5} + 3 \, B a^{3} b^{10} d {\left| b \right|} e^{6} - 3 \, A a^{2} b^{11} d {\left| b \right|} e^{6} - B a^{4} b^{9} {\left| b \right|} e^{7} + A a^{3} b^{10} {\left| b \right|} e^{7}\right)}}{b^{6} d^{4} e^{4} - 4 \, a b^{5} d^{3} e^{5} + 6 \, a^{2} b^{4} d^{2} e^{6} - 4 \, a^{3} b^{3} d e^{7} + a^{4} b^{2} e^{8}}\right)}}{63 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{9}{2}}}"," ",0,"2/63*(b*x + a)^(7/2)*((7*B*b^12*d^3*abs(b)*e^4 - 23*B*a*b^11*d^2*abs(b)*e^5 + 2*A*b^12*d^2*abs(b)*e^5 + 25*B*a^2*b^10*d*abs(b)*e^6 - 4*A*a*b^11*d*abs(b)*e^6 - 9*B*a^3*b^9*abs(b)*e^7 + 2*A*a^2*b^10*abs(b)*e^7)*(b*x + a)/(b^6*d^4*e^4 - 4*a*b^5*d^3*e^5 + 6*a^2*b^4*d^2*e^6 - 4*a^3*b^3*d*e^7 + a^4*b^2*e^8) - 9*(B*a*b^12*d^3*abs(b)*e^4 - A*b^13*d^3*abs(b)*e^4 - 3*B*a^2*b^11*d^2*abs(b)*e^5 + 3*A*a*b^12*d^2*abs(b)*e^5 + 3*B*a^3*b^10*d*abs(b)*e^6 - 3*A*a^2*b^11*d*abs(b)*e^6 - B*a^4*b^9*abs(b)*e^7 + A*a^3*b^10*abs(b)*e^7)/(b^6*d^4*e^4 - 4*a*b^5*d^3*e^5 + 6*a^2*b^4*d^2*e^6 - 4*a^3*b^3*d*e^7 + a^4*b^2*e^8))/(b^2*d + (b*x + a)*b*e - a*b*e)^(9/2)","B",0
2232,1,621,0,6.438155," ","integrate((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(13/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(b x + a\right)} {\left(\frac{2 \, {\left(7 \, B b^{14} d^{3} {\left| b \right|} e^{6} - 25 \, B a b^{13} d^{2} {\left| b \right|} e^{7} + 4 \, A b^{14} d^{2} {\left| b \right|} e^{7} + 29 \, B a^{2} b^{12} d {\left| b \right|} e^{8} - 8 \, A a b^{13} d {\left| b \right|} e^{8} - 11 \, B a^{3} b^{11} {\left| b \right|} e^{9} + 4 \, A a^{2} b^{12} {\left| b \right|} e^{9}\right)} {\left(b x + a\right)}}{b^{7} d^{5} e^{5} - 5 \, a b^{6} d^{4} e^{6} + 10 \, a^{2} b^{5} d^{3} e^{7} - 10 \, a^{3} b^{4} d^{2} e^{8} + 5 \, a^{4} b^{3} d e^{9} - a^{5} b^{2} e^{10}} + \frac{11 \, {\left(7 \, B b^{15} d^{4} {\left| b \right|} e^{5} - 32 \, B a b^{14} d^{3} {\left| b \right|} e^{6} + 4 \, A b^{15} d^{3} {\left| b \right|} e^{6} + 54 \, B a^{2} b^{13} d^{2} {\left| b \right|} e^{7} - 12 \, A a b^{14} d^{2} {\left| b \right|} e^{7} - 40 \, B a^{3} b^{12} d {\left| b \right|} e^{8} + 12 \, A a^{2} b^{13} d {\left| b \right|} e^{8} + 11 \, B a^{4} b^{11} {\left| b \right|} e^{9} - 4 \, A a^{3} b^{12} {\left| b \right|} e^{9}\right)}}{b^{7} d^{5} e^{5} - 5 \, a b^{6} d^{4} e^{6} + 10 \, a^{2} b^{5} d^{3} e^{7} - 10 \, a^{3} b^{4} d^{2} e^{8} + 5 \, a^{4} b^{3} d e^{9} - a^{5} b^{2} e^{10}}\right)} - \frac{99 \, {\left(B a b^{15} d^{4} {\left| b \right|} e^{5} - A b^{16} d^{4} {\left| b \right|} e^{5} - 4 \, B a^{2} b^{14} d^{3} {\left| b \right|} e^{6} + 4 \, A a b^{15} d^{3} {\left| b \right|} e^{6} + 6 \, B a^{3} b^{13} d^{2} {\left| b \right|} e^{7} - 6 \, A a^{2} b^{14} d^{2} {\left| b \right|} e^{7} - 4 \, B a^{4} b^{12} d {\left| b \right|} e^{8} + 4 \, A a^{3} b^{13} d {\left| b \right|} e^{8} + B a^{5} b^{11} {\left| b \right|} e^{9} - A a^{4} b^{12} {\left| b \right|} e^{9}\right)}}{b^{7} d^{5} e^{5} - 5 \, a b^{6} d^{4} e^{6} + 10 \, a^{2} b^{5} d^{3} e^{7} - 10 \, a^{3} b^{4} d^{2} e^{8} + 5 \, a^{4} b^{3} d e^{9} - a^{5} b^{2} e^{10}}\right)} {\left(b x + a\right)}^{\frac{7}{2}}}{693 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{11}{2}}}"," ",0,"2/693*((b*x + a)*(2*(7*B*b^14*d^3*abs(b)*e^6 - 25*B*a*b^13*d^2*abs(b)*e^7 + 4*A*b^14*d^2*abs(b)*e^7 + 29*B*a^2*b^12*d*abs(b)*e^8 - 8*A*a*b^13*d*abs(b)*e^8 - 11*B*a^3*b^11*abs(b)*e^9 + 4*A*a^2*b^12*abs(b)*e^9)*(b*x + a)/(b^7*d^5*e^5 - 5*a*b^6*d^4*e^6 + 10*a^2*b^5*d^3*e^7 - 10*a^3*b^4*d^2*e^8 + 5*a^4*b^3*d*e^9 - a^5*b^2*e^10) + 11*(7*B*b^15*d^4*abs(b)*e^5 - 32*B*a*b^14*d^3*abs(b)*e^6 + 4*A*b^15*d^3*abs(b)*e^6 + 54*B*a^2*b^13*d^2*abs(b)*e^7 - 12*A*a*b^14*d^2*abs(b)*e^7 - 40*B*a^3*b^12*d*abs(b)*e^8 + 12*A*a^2*b^13*d*abs(b)*e^8 + 11*B*a^4*b^11*abs(b)*e^9 - 4*A*a^3*b^12*abs(b)*e^9)/(b^7*d^5*e^5 - 5*a*b^6*d^4*e^6 + 10*a^2*b^5*d^3*e^7 - 10*a^3*b^4*d^2*e^8 + 5*a^4*b^3*d*e^9 - a^5*b^2*e^10)) - 99*(B*a*b^15*d^4*abs(b)*e^5 - A*b^16*d^4*abs(b)*e^5 - 4*B*a^2*b^14*d^3*abs(b)*e^6 + 4*A*a*b^15*d^3*abs(b)*e^6 + 6*B*a^3*b^13*d^2*abs(b)*e^7 - 6*A*a^2*b^14*d^2*abs(b)*e^7 - 4*B*a^4*b^12*d*abs(b)*e^8 + 4*A*a^3*b^13*d*abs(b)*e^8 + B*a^5*b^11*abs(b)*e^9 - A*a^4*b^12*abs(b)*e^9)/(b^7*d^5*e^5 - 5*a*b^6*d^4*e^6 + 10*a^2*b^5*d^3*e^7 - 10*a^3*b^4*d^2*e^8 + 5*a^4*b^3*d*e^9 - a^5*b^2*e^10))*(b*x + a)^(7/2)/(b^2*d + (b*x + a)*b*e - a*b*e)^(11/2)","B",0
2233,1,938,0,8.988765," ","integrate((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(15/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(7 \, B b^{16} d^{3} {\left| b \right|} e^{8} - 27 \, B a b^{15} d^{2} {\left| b \right|} e^{9} + 6 \, A b^{16} d^{2} {\left| b \right|} e^{9} + 33 \, B a^{2} b^{14} d {\left| b \right|} e^{10} - 12 \, A a b^{15} d {\left| b \right|} e^{10} - 13 \, B a^{3} b^{13} {\left| b \right|} e^{11} + 6 \, A a^{2} b^{14} {\left| b \right|} e^{11}\right)} {\left(b x + a\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}} + \frac{13 \, {\left(7 \, B b^{17} d^{4} {\left| b \right|} e^{7} - 34 \, B a b^{16} d^{3} {\left| b \right|} e^{8} + 6 \, A b^{17} d^{3} {\left| b \right|} e^{8} + 60 \, B a^{2} b^{15} d^{2} {\left| b \right|} e^{9} - 18 \, A a b^{16} d^{2} {\left| b \right|} e^{9} - 46 \, B a^{3} b^{14} d {\left| b \right|} e^{10} + 18 \, A a^{2} b^{15} d {\left| b \right|} e^{10} + 13 \, B a^{4} b^{13} {\left| b \right|} e^{11} - 6 \, A a^{3} b^{14} {\left| b \right|} e^{11}\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}}\right)} + \frac{143 \, {\left(7 \, B b^{18} d^{5} {\left| b \right|} e^{6} - 41 \, B a b^{17} d^{4} {\left| b \right|} e^{7} + 6 \, A b^{18} d^{4} {\left| b \right|} e^{7} + 94 \, B a^{2} b^{16} d^{3} {\left| b \right|} e^{8} - 24 \, A a b^{17} d^{3} {\left| b \right|} e^{8} - 106 \, B a^{3} b^{15} d^{2} {\left| b \right|} e^{9} + 36 \, A a^{2} b^{16} d^{2} {\left| b \right|} e^{9} + 59 \, B a^{4} b^{14} d {\left| b \right|} e^{10} - 24 \, A a^{3} b^{15} d {\left| b \right|} e^{10} - 13 \, B a^{5} b^{13} {\left| b \right|} e^{11} + 6 \, A a^{4} b^{14} {\left| b \right|} e^{11}\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}}\right)} {\left(b x + a\right)} - \frac{1287 \, {\left(B a b^{18} d^{5} {\left| b \right|} e^{6} - A b^{19} d^{5} {\left| b \right|} e^{6} - 5 \, B a^{2} b^{17} d^{4} {\left| b \right|} e^{7} + 5 \, A a b^{18} d^{4} {\left| b \right|} e^{7} + 10 \, B a^{3} b^{16} d^{3} {\left| b \right|} e^{8} - 10 \, A a^{2} b^{17} d^{3} {\left| b \right|} e^{8} - 10 \, B a^{4} b^{15} d^{2} {\left| b \right|} e^{9} + 10 \, A a^{3} b^{16} d^{2} {\left| b \right|} e^{9} + 5 \, B a^{5} b^{14} d {\left| b \right|} e^{10} - 5 \, A a^{4} b^{15} d {\left| b \right|} e^{10} - B a^{6} b^{13} {\left| b \right|} e^{11} + A a^{5} b^{14} {\left| b \right|} e^{11}\right)}}{b^{8} d^{6} e^{6} - 6 \, a b^{7} d^{5} e^{7} + 15 \, a^{2} b^{6} d^{4} e^{8} - 20 \, a^{3} b^{5} d^{3} e^{9} + 15 \, a^{4} b^{4} d^{2} e^{10} - 6 \, a^{5} b^{3} d e^{11} + a^{6} b^{2} e^{12}}\right)} {\left(b x + a\right)}^{\frac{7}{2}}}{9009 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{13}{2}}}"," ",0,"2/9009*((4*(b*x + a)*(2*(7*B*b^16*d^3*abs(b)*e^8 - 27*B*a*b^15*d^2*abs(b)*e^9 + 6*A*b^16*d^2*abs(b)*e^9 + 33*B*a^2*b^14*d*abs(b)*e^10 - 12*A*a*b^15*d*abs(b)*e^10 - 13*B*a^3*b^13*abs(b)*e^11 + 6*A*a^2*b^14*abs(b)*e^11)*(b*x + a)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12) + 13*(7*B*b^17*d^4*abs(b)*e^7 - 34*B*a*b^16*d^3*abs(b)*e^8 + 6*A*b^17*d^3*abs(b)*e^8 + 60*B*a^2*b^15*d^2*abs(b)*e^9 - 18*A*a*b^16*d^2*abs(b)*e^9 - 46*B*a^3*b^14*d*abs(b)*e^10 + 18*A*a^2*b^15*d*abs(b)*e^10 + 13*B*a^4*b^13*abs(b)*e^11 - 6*A*a^3*b^14*abs(b)*e^11)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12)) + 143*(7*B*b^18*d^5*abs(b)*e^6 - 41*B*a*b^17*d^4*abs(b)*e^7 + 6*A*b^18*d^4*abs(b)*e^7 + 94*B*a^2*b^16*d^3*abs(b)*e^8 - 24*A*a*b^17*d^3*abs(b)*e^8 - 106*B*a^3*b^15*d^2*abs(b)*e^9 + 36*A*a^2*b^16*d^2*abs(b)*e^9 + 59*B*a^4*b^14*d*abs(b)*e^10 - 24*A*a^3*b^15*d*abs(b)*e^10 - 13*B*a^5*b^13*abs(b)*e^11 + 6*A*a^4*b^14*abs(b)*e^11)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12))*(b*x + a) - 1287*(B*a*b^18*d^5*abs(b)*e^6 - A*b^19*d^5*abs(b)*e^6 - 5*B*a^2*b^17*d^4*abs(b)*e^7 + 5*A*a*b^18*d^4*abs(b)*e^7 + 10*B*a^3*b^16*d^3*abs(b)*e^8 - 10*A*a^2*b^17*d^3*abs(b)*e^8 - 10*B*a^4*b^15*d^2*abs(b)*e^9 + 10*A*a^3*b^16*d^2*abs(b)*e^9 + 5*B*a^5*b^14*d*abs(b)*e^10 - 5*A*a^4*b^15*d*abs(b)*e^10 - B*a^6*b^13*abs(b)*e^11 + A*a^5*b^14*abs(b)*e^11)/(b^8*d^6*e^6 - 6*a*b^7*d^5*e^7 + 15*a^2*b^6*d^4*e^8 - 20*a^3*b^5*d^3*e^9 + 15*a^4*b^4*d^2*e^10 - 6*a^5*b^3*d*e^11 + a^6*b^2*e^12))*(b*x + a)^(7/2)/(b^2*d + (b*x + a)*b*e - a*b*e)^(13/2)","B",0
2234,1,1321,0,11.826823," ","integrate((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(17/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(7 \, B b^{18} d^{3} {\left| b \right|} e^{10} - 29 \, B a b^{17} d^{2} {\left| b \right|} e^{11} + 8 \, A b^{18} d^{2} {\left| b \right|} e^{11} + 37 \, B a^{2} b^{16} d {\left| b \right|} e^{12} - 16 \, A a b^{17} d {\left| b \right|} e^{12} - 15 \, B a^{3} b^{15} {\left| b \right|} e^{13} + 8 \, A a^{2} b^{16} {\left| b \right|} e^{13}\right)} {\left(b x + a\right)}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}} + \frac{15 \, {\left(7 \, B b^{19} d^{4} {\left| b \right|} e^{9} - 36 \, B a b^{18} d^{3} {\left| b \right|} e^{10} + 8 \, A b^{19} d^{3} {\left| b \right|} e^{10} + 66 \, B a^{2} b^{17} d^{2} {\left| b \right|} e^{11} - 24 \, A a b^{18} d^{2} {\left| b \right|} e^{11} - 52 \, B a^{3} b^{16} d {\left| b \right|} e^{12} + 24 \, A a^{2} b^{17} d {\left| b \right|} e^{12} + 15 \, B a^{4} b^{15} {\left| b \right|} e^{13} - 8 \, A a^{3} b^{16} {\left| b \right|} e^{13}\right)}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right)} + \frac{195 \, {\left(7 \, B b^{20} d^{5} {\left| b \right|} e^{8} - 43 \, B a b^{19} d^{4} {\left| b \right|} e^{9} + 8 \, A b^{20} d^{4} {\left| b \right|} e^{9} + 102 \, B a^{2} b^{18} d^{3} {\left| b \right|} e^{10} - 32 \, A a b^{19} d^{3} {\left| b \right|} e^{10} - 118 \, B a^{3} b^{17} d^{2} {\left| b \right|} e^{11} + 48 \, A a^{2} b^{18} d^{2} {\left| b \right|} e^{11} + 67 \, B a^{4} b^{16} d {\left| b \right|} e^{12} - 32 \, A a^{3} b^{17} d {\left| b \right|} e^{12} - 15 \, B a^{5} b^{15} {\left| b \right|} e^{13} + 8 \, A a^{4} b^{16} {\left| b \right|} e^{13}\right)}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right)} {\left(b x + a\right)} + \frac{715 \, {\left(7 \, B b^{21} d^{6} {\left| b \right|} e^{7} - 50 \, B a b^{20} d^{5} {\left| b \right|} e^{8} + 8 \, A b^{21} d^{5} {\left| b \right|} e^{8} + 145 \, B a^{2} b^{19} d^{4} {\left| b \right|} e^{9} - 40 \, A a b^{20} d^{4} {\left| b \right|} e^{9} - 220 \, B a^{3} b^{18} d^{3} {\left| b \right|} e^{10} + 80 \, A a^{2} b^{19} d^{3} {\left| b \right|} e^{10} + 185 \, B a^{4} b^{17} d^{2} {\left| b \right|} e^{11} - 80 \, A a^{3} b^{18} d^{2} {\left| b \right|} e^{11} - 82 \, B a^{5} b^{16} d {\left| b \right|} e^{12} + 40 \, A a^{4} b^{17} d {\left| b \right|} e^{12} + 15 \, B a^{6} b^{15} {\left| b \right|} e^{13} - 8 \, A a^{5} b^{16} {\left| b \right|} e^{13}\right)}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right)} {\left(b x + a\right)} - \frac{6435 \, {\left(B a b^{21} d^{6} {\left| b \right|} e^{7} - A b^{22} d^{6} {\left| b \right|} e^{7} - 6 \, B a^{2} b^{20} d^{5} {\left| b \right|} e^{8} + 6 \, A a b^{21} d^{5} {\left| b \right|} e^{8} + 15 \, B a^{3} b^{19} d^{4} {\left| b \right|} e^{9} - 15 \, A a^{2} b^{20} d^{4} {\left| b \right|} e^{9} - 20 \, B a^{4} b^{18} d^{3} {\left| b \right|} e^{10} + 20 \, A a^{3} b^{19} d^{3} {\left| b \right|} e^{10} + 15 \, B a^{5} b^{17} d^{2} {\left| b \right|} e^{11} - 15 \, A a^{4} b^{18} d^{2} {\left| b \right|} e^{11} - 6 \, B a^{6} b^{16} d {\left| b \right|} e^{12} + 6 \, A a^{5} b^{17} d {\left| b \right|} e^{12} + B a^{7} b^{15} {\left| b \right|} e^{13} - A a^{6} b^{16} {\left| b \right|} e^{13}\right)}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right)} {\left(b x + a\right)}^{\frac{7}{2}}}{45045 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{15}{2}}}"," ",0,"2/45045*((2*(4*(b*x + a)*(2*(7*B*b^18*d^3*abs(b)*e^10 - 29*B*a*b^17*d^2*abs(b)*e^11 + 8*A*b^18*d^2*abs(b)*e^11 + 37*B*a^2*b^16*d*abs(b)*e^12 - 16*A*a*b^17*d*abs(b)*e^12 - 15*B*a^3*b^15*abs(b)*e^13 + 8*A*a^2*b^16*abs(b)*e^13)*(b*x + a)/(b^9*d^7*e^7 - 7*a*b^8*d^6*e^8 + 21*a^2*b^7*d^5*e^9 - 35*a^3*b^6*d^4*e^10 + 35*a^4*b^5*d^3*e^11 - 21*a^5*b^4*d^2*e^12 + 7*a^6*b^3*d*e^13 - a^7*b^2*e^14) + 15*(7*B*b^19*d^4*abs(b)*e^9 - 36*B*a*b^18*d^3*abs(b)*e^10 + 8*A*b^19*d^3*abs(b)*e^10 + 66*B*a^2*b^17*d^2*abs(b)*e^11 - 24*A*a*b^18*d^2*abs(b)*e^11 - 52*B*a^3*b^16*d*abs(b)*e^12 + 24*A*a^2*b^17*d*abs(b)*e^12 + 15*B*a^4*b^15*abs(b)*e^13 - 8*A*a^3*b^16*abs(b)*e^13)/(b^9*d^7*e^7 - 7*a*b^8*d^6*e^8 + 21*a^2*b^7*d^5*e^9 - 35*a^3*b^6*d^4*e^10 + 35*a^4*b^5*d^3*e^11 - 21*a^5*b^4*d^2*e^12 + 7*a^6*b^3*d*e^13 - a^7*b^2*e^14)) + 195*(7*B*b^20*d^5*abs(b)*e^8 - 43*B*a*b^19*d^4*abs(b)*e^9 + 8*A*b^20*d^4*abs(b)*e^9 + 102*B*a^2*b^18*d^3*abs(b)*e^10 - 32*A*a*b^19*d^3*abs(b)*e^10 - 118*B*a^3*b^17*d^2*abs(b)*e^11 + 48*A*a^2*b^18*d^2*abs(b)*e^11 + 67*B*a^4*b^16*d*abs(b)*e^12 - 32*A*a^3*b^17*d*abs(b)*e^12 - 15*B*a^5*b^15*abs(b)*e^13 + 8*A*a^4*b^16*abs(b)*e^13)/(b^9*d^7*e^7 - 7*a*b^8*d^6*e^8 + 21*a^2*b^7*d^5*e^9 - 35*a^3*b^6*d^4*e^10 + 35*a^4*b^5*d^3*e^11 - 21*a^5*b^4*d^2*e^12 + 7*a^6*b^3*d*e^13 - a^7*b^2*e^14))*(b*x + a) + 715*(7*B*b^21*d^6*abs(b)*e^7 - 50*B*a*b^20*d^5*abs(b)*e^8 + 8*A*b^21*d^5*abs(b)*e^8 + 145*B*a^2*b^19*d^4*abs(b)*e^9 - 40*A*a*b^20*d^4*abs(b)*e^9 - 220*B*a^3*b^18*d^3*abs(b)*e^10 + 80*A*a^2*b^19*d^3*abs(b)*e^10 + 185*B*a^4*b^17*d^2*abs(b)*e^11 - 80*A*a^3*b^18*d^2*abs(b)*e^11 - 82*B*a^5*b^16*d*abs(b)*e^12 + 40*A*a^4*b^17*d*abs(b)*e^12 + 15*B*a^6*b^15*abs(b)*e^13 - 8*A*a^5*b^16*abs(b)*e^13)/(b^9*d^7*e^7 - 7*a*b^8*d^6*e^8 + 21*a^2*b^7*d^5*e^9 - 35*a^3*b^6*d^4*e^10 + 35*a^4*b^5*d^3*e^11 - 21*a^5*b^4*d^2*e^12 + 7*a^6*b^3*d*e^13 - a^7*b^2*e^14))*(b*x + a) - 6435*(B*a*b^21*d^6*abs(b)*e^7 - A*b^22*d^6*abs(b)*e^7 - 6*B*a^2*b^20*d^5*abs(b)*e^8 + 6*A*a*b^21*d^5*abs(b)*e^8 + 15*B*a^3*b^19*d^4*abs(b)*e^9 - 15*A*a^2*b^20*d^4*abs(b)*e^9 - 20*B*a^4*b^18*d^3*abs(b)*e^10 + 20*A*a^3*b^19*d^3*abs(b)*e^10 + 15*B*a^5*b^17*d^2*abs(b)*e^11 - 15*A*a^4*b^18*d^2*abs(b)*e^11 - 6*B*a^6*b^16*d*abs(b)*e^12 + 6*A*a^5*b^17*d*abs(b)*e^12 + B*a^7*b^15*abs(b)*e^13 - A*a^6*b^16*abs(b)*e^13)/(b^9*d^7*e^7 - 7*a*b^8*d^6*e^8 + 21*a^2*b^7*d^5*e^9 - 35*a^3*b^6*d^4*e^10 + 35*a^4*b^5*d^3*e^11 - 21*a^5*b^4*d^2*e^12 + 7*a^6*b^3*d*e^13 - a^7*b^2*e^14))*(b*x + a)^(7/2)/(b^2*d + (b*x + a)*b*e - a*b*e)^(15/2)","B",0
2235,1,1752,0,12.920791," ","integrate((b*x+a)^(5/2)*(B*x+A)/(e*x+d)^(19/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(8 \, {\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(7 \, B b^{20} d^{3} {\left| b \right|} e^{12} - 31 \, B a b^{19} d^{2} {\left| b \right|} e^{13} + 10 \, A b^{20} d^{2} {\left| b \right|} e^{13} + 41 \, B a^{2} b^{18} d {\left| b \right|} e^{14} - 20 \, A a b^{19} d {\left| b \right|} e^{14} - 17 \, B a^{3} b^{17} {\left| b \right|} e^{15} + 10 \, A a^{2} b^{18} {\left| b \right|} e^{15}\right)} {\left(b x + a\right)}}{b^{10} d^{8} e^{8} - 8 \, a b^{9} d^{7} e^{9} + 28 \, a^{2} b^{8} d^{6} e^{10} - 56 \, a^{3} b^{7} d^{5} e^{11} + 70 \, a^{4} b^{6} d^{4} e^{12} - 56 \, a^{5} b^{5} d^{3} e^{13} + 28 \, a^{6} b^{4} d^{2} e^{14} - 8 \, a^{7} b^{3} d e^{15} + a^{8} b^{2} e^{16}} + \frac{17 \, {\left(7 \, B b^{21} d^{4} {\left| b \right|} e^{11} - 38 \, B a b^{20} d^{3} {\left| b \right|} e^{12} + 10 \, A b^{21} d^{3} {\left| b \right|} e^{12} + 72 \, B a^{2} b^{19} d^{2} {\left| b \right|} e^{13} - 30 \, A a b^{20} d^{2} {\left| b \right|} e^{13} - 58 \, B a^{3} b^{18} d {\left| b \right|} e^{14} + 30 \, A a^{2} b^{19} d {\left| b \right|} e^{14} + 17 \, B a^{4} b^{17} {\left| b \right|} e^{15} - 10 \, A a^{3} b^{18} {\left| b \right|} e^{15}\right)}}{b^{10} d^{8} e^{8} - 8 \, a b^{9} d^{7} e^{9} + 28 \, a^{2} b^{8} d^{6} e^{10} - 56 \, a^{3} b^{7} d^{5} e^{11} + 70 \, a^{4} b^{6} d^{4} e^{12} - 56 \, a^{5} b^{5} d^{3} e^{13} + 28 \, a^{6} b^{4} d^{2} e^{14} - 8 \, a^{7} b^{3} d e^{15} + a^{8} b^{2} e^{16}}\right)} + \frac{255 \, {\left(7 \, B b^{22} d^{5} {\left| b \right|} e^{10} - 45 \, B a b^{21} d^{4} {\left| b \right|} e^{11} + 10 \, A b^{22} d^{4} {\left| b \right|} e^{11} + 110 \, B a^{2} b^{20} d^{3} {\left| b \right|} e^{12} - 40 \, A a b^{21} d^{3} {\left| b \right|} e^{12} - 130 \, B a^{3} b^{19} d^{2} {\left| b \right|} e^{13} + 60 \, A a^{2} b^{20} d^{2} {\left| b \right|} e^{13} + 75 \, B a^{4} b^{18} d {\left| b \right|} e^{14} - 40 \, A a^{3} b^{19} d {\left| b \right|} e^{14} - 17 \, B a^{5} b^{17} {\left| b \right|} e^{15} + 10 \, A a^{4} b^{18} {\left| b \right|} e^{15}\right)}}{b^{10} d^{8} e^{8} - 8 \, a b^{9} d^{7} e^{9} + 28 \, a^{2} b^{8} d^{6} e^{10} - 56 \, a^{3} b^{7} d^{5} e^{11} + 70 \, a^{4} b^{6} d^{4} e^{12} - 56 \, a^{5} b^{5} d^{3} e^{13} + 28 \, a^{6} b^{4} d^{2} e^{14} - 8 \, a^{7} b^{3} d e^{15} + a^{8} b^{2} e^{16}}\right)} {\left(b x + a\right)} + \frac{1105 \, {\left(7 \, B b^{23} d^{6} {\left| b \right|} e^{9} - 52 \, B a b^{22} d^{5} {\left| b \right|} e^{10} + 10 \, A b^{23} d^{5} {\left| b \right|} e^{10} + 155 \, B a^{2} b^{21} d^{4} {\left| b \right|} e^{11} - 50 \, A a b^{22} d^{4} {\left| b \right|} e^{11} - 240 \, B a^{3} b^{20} d^{3} {\left| b \right|} e^{12} + 100 \, A a^{2} b^{21} d^{3} {\left| b \right|} e^{12} + 205 \, B a^{4} b^{19} d^{2} {\left| b \right|} e^{13} - 100 \, A a^{3} b^{20} d^{2} {\left| b \right|} e^{13} - 92 \, B a^{5} b^{18} d {\left| b \right|} e^{14} + 50 \, A a^{4} b^{19} d {\left| b \right|} e^{14} + 17 \, B a^{6} b^{17} {\left| b \right|} e^{15} - 10 \, A a^{5} b^{18} {\left| b \right|} e^{15}\right)}}{b^{10} d^{8} e^{8} - 8 \, a b^{9} d^{7} e^{9} + 28 \, a^{2} b^{8} d^{6} e^{10} - 56 \, a^{3} b^{7} d^{5} e^{11} + 70 \, a^{4} b^{6} d^{4} e^{12} - 56 \, a^{5} b^{5} d^{3} e^{13} + 28 \, a^{6} b^{4} d^{2} e^{14} - 8 \, a^{7} b^{3} d e^{15} + a^{8} b^{2} e^{16}}\right)} {\left(b x + a\right)} + \frac{12155 \, {\left(7 \, B b^{24} d^{7} {\left| b \right|} e^{8} - 59 \, B a b^{23} d^{6} {\left| b \right|} e^{9} + 10 \, A b^{24} d^{6} {\left| b \right|} e^{9} + 207 \, B a^{2} b^{22} d^{5} {\left| b \right|} e^{10} - 60 \, A a b^{23} d^{5} {\left| b \right|} e^{10} - 395 \, B a^{3} b^{21} d^{4} {\left| b \right|} e^{11} + 150 \, A a^{2} b^{22} d^{4} {\left| b \right|} e^{11} + 445 \, B a^{4} b^{20} d^{3} {\left| b \right|} e^{12} - 200 \, A a^{3} b^{21} d^{3} {\left| b \right|} e^{12} - 297 \, B a^{5} b^{19} d^{2} {\left| b \right|} e^{13} + 150 \, A a^{4} b^{20} d^{2} {\left| b \right|} e^{13} + 109 \, B a^{6} b^{18} d {\left| b \right|} e^{14} - 60 \, A a^{5} b^{19} d {\left| b \right|} e^{14} - 17 \, B a^{7} b^{17} {\left| b \right|} e^{15} + 10 \, A a^{6} b^{18} {\left| b \right|} e^{15}\right)}}{b^{10} d^{8} e^{8} - 8 \, a b^{9} d^{7} e^{9} + 28 \, a^{2} b^{8} d^{6} e^{10} - 56 \, a^{3} b^{7} d^{5} e^{11} + 70 \, a^{4} b^{6} d^{4} e^{12} - 56 \, a^{5} b^{5} d^{3} e^{13} + 28 \, a^{6} b^{4} d^{2} e^{14} - 8 \, a^{7} b^{3} d e^{15} + a^{8} b^{2} e^{16}}\right)} {\left(b x + a\right)} - \frac{109395 \, {\left(B a b^{24} d^{7} {\left| b \right|} e^{8} - A b^{25} d^{7} {\left| b \right|} e^{8} - 7 \, B a^{2} b^{23} d^{6} {\left| b \right|} e^{9} + 7 \, A a b^{24} d^{6} {\left| b \right|} e^{9} + 21 \, B a^{3} b^{22} d^{5} {\left| b \right|} e^{10} - 21 \, A a^{2} b^{23} d^{5} {\left| b \right|} e^{10} - 35 \, B a^{4} b^{21} d^{4} {\left| b \right|} e^{11} + 35 \, A a^{3} b^{22} d^{4} {\left| b \right|} e^{11} + 35 \, B a^{5} b^{20} d^{3} {\left| b \right|} e^{12} - 35 \, A a^{4} b^{21} d^{3} {\left| b \right|} e^{12} - 21 \, B a^{6} b^{19} d^{2} {\left| b \right|} e^{13} + 21 \, A a^{5} b^{20} d^{2} {\left| b \right|} e^{13} + 7 \, B a^{7} b^{18} d {\left| b \right|} e^{14} - 7 \, A a^{6} b^{19} d {\left| b \right|} e^{14} - B a^{8} b^{17} {\left| b \right|} e^{15} + A a^{7} b^{18} {\left| b \right|} e^{15}\right)}}{b^{10} d^{8} e^{8} - 8 \, a b^{9} d^{7} e^{9} + 28 \, a^{2} b^{8} d^{6} e^{10} - 56 \, a^{3} b^{7} d^{5} e^{11} + 70 \, a^{4} b^{6} d^{4} e^{12} - 56 \, a^{5} b^{5} d^{3} e^{13} + 28 \, a^{6} b^{4} d^{2} e^{14} - 8 \, a^{7} b^{3} d e^{15} + a^{8} b^{2} e^{16}}\right)} {\left(b x + a\right)}^{\frac{7}{2}}}{765765 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{17}{2}}}"," ",0,"2/765765*((8*(2*(4*(b*x + a)*(2*(7*B*b^20*d^3*abs(b)*e^12 - 31*B*a*b^19*d^2*abs(b)*e^13 + 10*A*b^20*d^2*abs(b)*e^13 + 41*B*a^2*b^18*d*abs(b)*e^14 - 20*A*a*b^19*d*abs(b)*e^14 - 17*B*a^3*b^17*abs(b)*e^15 + 10*A*a^2*b^18*abs(b)*e^15)*(b*x + a)/(b^10*d^8*e^8 - 8*a*b^9*d^7*e^9 + 28*a^2*b^8*d^6*e^10 - 56*a^3*b^7*d^5*e^11 + 70*a^4*b^6*d^4*e^12 - 56*a^5*b^5*d^3*e^13 + 28*a^6*b^4*d^2*e^14 - 8*a^7*b^3*d*e^15 + a^8*b^2*e^16) + 17*(7*B*b^21*d^4*abs(b)*e^11 - 38*B*a*b^20*d^3*abs(b)*e^12 + 10*A*b^21*d^3*abs(b)*e^12 + 72*B*a^2*b^19*d^2*abs(b)*e^13 - 30*A*a*b^20*d^2*abs(b)*e^13 - 58*B*a^3*b^18*d*abs(b)*e^14 + 30*A*a^2*b^19*d*abs(b)*e^14 + 17*B*a^4*b^17*abs(b)*e^15 - 10*A*a^3*b^18*abs(b)*e^15)/(b^10*d^8*e^8 - 8*a*b^9*d^7*e^9 + 28*a^2*b^8*d^6*e^10 - 56*a^3*b^7*d^5*e^11 + 70*a^4*b^6*d^4*e^12 - 56*a^5*b^5*d^3*e^13 + 28*a^6*b^4*d^2*e^14 - 8*a^7*b^3*d*e^15 + a^8*b^2*e^16)) + 255*(7*B*b^22*d^5*abs(b)*e^10 - 45*B*a*b^21*d^4*abs(b)*e^11 + 10*A*b^22*d^4*abs(b)*e^11 + 110*B*a^2*b^20*d^3*abs(b)*e^12 - 40*A*a*b^21*d^3*abs(b)*e^12 - 130*B*a^3*b^19*d^2*abs(b)*e^13 + 60*A*a^2*b^20*d^2*abs(b)*e^13 + 75*B*a^4*b^18*d*abs(b)*e^14 - 40*A*a^3*b^19*d*abs(b)*e^14 - 17*B*a^5*b^17*abs(b)*e^15 + 10*A*a^4*b^18*abs(b)*e^15)/(b^10*d^8*e^8 - 8*a*b^9*d^7*e^9 + 28*a^2*b^8*d^6*e^10 - 56*a^3*b^7*d^5*e^11 + 70*a^4*b^6*d^4*e^12 - 56*a^5*b^5*d^3*e^13 + 28*a^6*b^4*d^2*e^14 - 8*a^7*b^3*d*e^15 + a^8*b^2*e^16))*(b*x + a) + 1105*(7*B*b^23*d^6*abs(b)*e^9 - 52*B*a*b^22*d^5*abs(b)*e^10 + 10*A*b^23*d^5*abs(b)*e^10 + 155*B*a^2*b^21*d^4*abs(b)*e^11 - 50*A*a*b^22*d^4*abs(b)*e^11 - 240*B*a^3*b^20*d^3*abs(b)*e^12 + 100*A*a^2*b^21*d^3*abs(b)*e^12 + 205*B*a^4*b^19*d^2*abs(b)*e^13 - 100*A*a^3*b^20*d^2*abs(b)*e^13 - 92*B*a^5*b^18*d*abs(b)*e^14 + 50*A*a^4*b^19*d*abs(b)*e^14 + 17*B*a^6*b^17*abs(b)*e^15 - 10*A*a^5*b^18*abs(b)*e^15)/(b^10*d^8*e^8 - 8*a*b^9*d^7*e^9 + 28*a^2*b^8*d^6*e^10 - 56*a^3*b^7*d^5*e^11 + 70*a^4*b^6*d^4*e^12 - 56*a^5*b^5*d^3*e^13 + 28*a^6*b^4*d^2*e^14 - 8*a^7*b^3*d*e^15 + a^8*b^2*e^16))*(b*x + a) + 12155*(7*B*b^24*d^7*abs(b)*e^8 - 59*B*a*b^23*d^6*abs(b)*e^9 + 10*A*b^24*d^6*abs(b)*e^9 + 207*B*a^2*b^22*d^5*abs(b)*e^10 - 60*A*a*b^23*d^5*abs(b)*e^10 - 395*B*a^3*b^21*d^4*abs(b)*e^11 + 150*A*a^2*b^22*d^4*abs(b)*e^11 + 445*B*a^4*b^20*d^3*abs(b)*e^12 - 200*A*a^3*b^21*d^3*abs(b)*e^12 - 297*B*a^5*b^19*d^2*abs(b)*e^13 + 150*A*a^4*b^20*d^2*abs(b)*e^13 + 109*B*a^6*b^18*d*abs(b)*e^14 - 60*A*a^5*b^19*d*abs(b)*e^14 - 17*B*a^7*b^17*abs(b)*e^15 + 10*A*a^6*b^18*abs(b)*e^15)/(b^10*d^8*e^8 - 8*a*b^9*d^7*e^9 + 28*a^2*b^8*d^6*e^10 - 56*a^3*b^7*d^5*e^11 + 70*a^4*b^6*d^4*e^12 - 56*a^5*b^5*d^3*e^13 + 28*a^6*b^4*d^2*e^14 - 8*a^7*b^3*d*e^15 + a^8*b^2*e^16))*(b*x + a) - 109395*(B*a*b^24*d^7*abs(b)*e^8 - A*b^25*d^7*abs(b)*e^8 - 7*B*a^2*b^23*d^6*abs(b)*e^9 + 7*A*a*b^24*d^6*abs(b)*e^9 + 21*B*a^3*b^22*d^5*abs(b)*e^10 - 21*A*a^2*b^23*d^5*abs(b)*e^10 - 35*B*a^4*b^21*d^4*abs(b)*e^11 + 35*A*a^3*b^22*d^4*abs(b)*e^11 + 35*B*a^5*b^20*d^3*abs(b)*e^12 - 35*A*a^4*b^21*d^3*abs(b)*e^12 - 21*B*a^6*b^19*d^2*abs(b)*e^13 + 21*A*a^5*b^20*d^2*abs(b)*e^13 + 7*B*a^7*b^18*d*abs(b)*e^14 - 7*A*a^6*b^19*d*abs(b)*e^14 - B*a^8*b^17*abs(b)*e^15 + A*a^7*b^18*abs(b)*e^15)/(b^10*d^8*e^8 - 8*a*b^9*d^7*e^9 + 28*a^2*b^8*d^6*e^10 - 56*a^3*b^7*d^5*e^11 + 70*a^4*b^6*d^4*e^12 - 56*a^5*b^5*d^3*e^13 + 28*a^6*b^4*d^2*e^14 - 8*a^7*b^3*d*e^15 + a^8*b^2*e^16))*(b*x + a)^(7/2)/(b^2*d + (b*x + a)*b*e - a*b*e)^(17/2)","B",0
2236,1,1055,0,1.942140," ","integrate((B*x+A)*(e*x+d)^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{192 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} A d^{2} {\left| b \right|}}{b^{2}} - \frac{16 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B d {\left| b \right|} e}{b^{2}} - \frac{48 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} B d^{2} {\left| b \right|}}{b^{3}} - \frac{8 \, {\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} A {\left| b \right|} e^{2}}{b^{2}} - \frac{{\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\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{{\left(b^{12} d e^{5} - 25 \, a b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} - \frac{{\left(5 \, b^{13} d^{2} e^{4} + 14 \, a b^{12} d e^{5} - 163 \, a^{2} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} + \frac{3 \, {\left(5 \, b^{14} d^{3} e^{3} + 9 \, a b^{13} d^{2} e^{4} + 15 \, a^{2} b^{12} d e^{5} - 93 \, a^{3} b^{11} e^{6}\right)} e^{\left(-6\right)}}{b^{14}}\right)} \sqrt{b x + a} + \frac{3 \, {\left(5 \, b^{4} d^{4} + 4 \, a b^{3} d^{3} e + 6 \, a^{2} b^{2} d^{2} e^{2} + 20 \, a^{3} b d e^{3} - 35 \, a^{4} e^{4}\right)} e^{\left(-\frac{7}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{5}{2}}}\right)} B {\left| b \right|} e^{2}}{b^{2}} - \frac{96 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A d {\left| b \right|} e}{b^{3}}}{192 \, b}"," ",0,"-1/192*(192*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*A*d^2*abs(b)/b^2 - 16*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*d*abs(b)*e/b^2 - 48*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*B*d^2*abs(b)/b^3 - 8*(sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*A*abs(b)*e^2/b^2 - (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*(b*x + a)*(4*(b*x + a)*(6*(b*x + a)/b^3 + (b^12*d*e^5 - 25*a*b^11*e^6)*e^(-6)/b^14) - (5*b^13*d^2*e^4 + 14*a*b^12*d*e^5 - 163*a^2*b^11*e^6)*e^(-6)/b^14) + 3*(5*b^14*d^3*e^3 + 9*a*b^13*d^2*e^4 + 15*a^2*b^12*d*e^5 - 93*a^3*b^11*e^6)*e^(-6)/b^14)*sqrt(b*x + a) + 3*(5*b^4*d^4 + 4*a*b^3*d^3*e + 6*a^2*b^2*d^2*e^2 + 20*a^3*b*d*e^3 - 35*a^4*e^4)*e^(-7/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(5/2))*B*abs(b)*e^2/b^2 - 96*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*d*abs(b)*e/b^3)/b","B",0
2237,1,575,0,1.535740," ","integrate((B*x+A)*(e*x+d)^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{24 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} A d {\left| b \right|}}{b^{2}} - \frac{{\left(\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)}}{b^{2}} + \frac{{\left(b^{6} d e^{3} - 13 \, a b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{7} d^{2} e^{2} + 2 \, a b^{6} d e^{3} - 11 \, a^{2} b^{5} e^{4}\right)} e^{\left(-4\right)}}{b^{7}}\right)} - \frac{3 \, {\left(b^{3} d^{3} + a b^{2} d^{2} e + 3 \, a^{2} b d e^{2} - 5 \, a^{3} e^{3}\right)} e^{\left(-\frac{5}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}}\right)} B {\left| b \right|} e}{b^{2}} - \frac{6 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} B d {\left| b \right|}}{b^{3}} - \frac{6 \, {\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} A {\left| b \right|} e}{b^{3}}}{24 \, b}"," ",0,"-1/24*(24*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*A*d*abs(b)/b^2 - (sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)/b^2 + (b^6*d*e^3 - 13*a*b^5*e^4)*e^(-4)/b^7) - 3*(b^7*d^2*e^2 + 2*a*b^6*d*e^3 - 11*a^2*b^5*e^4)*e^(-4)/b^7) - 3*(b^3*d^3 + a*b^2*d^2*e + 3*a^2*b*d*e^2 - 5*a^3*e^3)*e^(-5/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2))*B*abs(b)*e/b^2 - 6*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*B*d*abs(b)/b^3 - 6*((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*A*abs(b)*e/b^3)/b","B",0
2238,1,238,0,1.138379," ","integrate((B*x+A)*(e*x+d)^(1/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(\frac{{\left(b^{2} d - a b e\right)} e^{\left(-\frac{1}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a}\right)} A {\left| b \right|}}{b^{2}} - \frac{{\left(\frac{{\left(b^{3} d^{2} + 2 \, a b^{2} d e - 3 \, a^{2} b e^{2}\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{\sqrt{b}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} {\left(2 \, b x + {\left(b d e - 5 \, a e^{2}\right)} e^{\left(-2\right)} + 2 \, a\right)} \sqrt{b x + a}\right)} B {\left| b \right|}}{b^{3}}}{4 \, b}"," ",0,"-1/4*(4*((b^2*d - a*b*e)*e^(-1/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a))*A*abs(b)/b^2 - ((b^3*d^2 + 2*a*b^2*d*e - 3*a^2*b*e^2)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/sqrt(b) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*(2*b*x + (b*d*e - 5*a*e^2)*e^(-2) + 2*a)*sqrt(b*x + a))*B*abs(b)/b^3)/b","B",0
2239,1,106,0,1.016167," ","integrate((B*x+A)/(b*x+a)^(1/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{{\left(\frac{{\left(B b d + B a e - 2 \, A b e\right)} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}} + \frac{\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} B e^{\left(-1\right)}}{b^{2}}\right)} b}{{\left| b \right|}}"," ",0,"((B*b*d + B*a*e - 2*A*b*e)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*B*e^(-1)/b^2)*b/abs(b)","A",0
2240,1,120,0,1.072582," ","integrate((B*x+A)/(e*x+d)^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{2 \, B {\left| b \right|} e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} + \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \right|}\right)}{b^{\frac{3}{2}}} - \frac{2 \, {\left(B b^{2} d {\left| b \right|} - A b^{2} {\left| b \right|} e\right)} \sqrt{b x + a}}{{\left(b^{3} d e - a b^{2} e^{2}\right)} \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}}"," ",0,"-2*B*abs(b)*e^(-3/2)*log(abs(-sqrt(b*x + a)*sqrt(b)*e^(1/2) + sqrt(b^2*d + (b*x + a)*b*e - a*b*e)))/b^(3/2) - 2*(B*b^2*d*abs(b) - A*b^2*abs(b)*e)*sqrt(b*x + a)/((b^3*d*e - a*b^2*e^2)*sqrt(b^2*d + (b*x + a)*b*e - a*b*e))","A",0
2241,1,179,0,1.286810," ","integrate((B*x+A)/(e*x+d)^(5/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(B b^{4} d {\left| b \right|} e - 3 \, B a b^{3} {\left| b \right|} e^{2} + 2 \, A b^{4} {\left| b \right|} e^{2}\right)} {\left(b x + a\right)}}{b^{4} d^{2} e - 2 \, a b^{3} d e^{2} + a^{2} b^{2} e^{3}} - \frac{3 \, {\left(B a b^{4} d {\left| b \right|} e - A b^{5} d {\left| b \right|} e - B a^{2} b^{3} {\left| b \right|} e^{2} + A a b^{4} {\left| b \right|} e^{2}\right)}}{b^{4} d^{2} e - 2 \, a b^{3} d e^{2} + a^{2} b^{2} e^{3}}\right)}}{3 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{3}{2}}}"," ",0,"2/3*sqrt(b*x + a)*((B*b^4*d*abs(b)*e - 3*B*a*b^3*abs(b)*e^2 + 2*A*b^4*abs(b)*e^2)*(b*x + a)/(b^4*d^2*e - 2*a*b^3*d*e^2 + a^2*b^2*e^3) - 3*(B*a*b^4*d*abs(b)*e - A*b^5*d*abs(b)*e - B*a^2*b^3*abs(b)*e^2 + A*a*b^4*abs(b)*e^2)/(b^4*d^2*e - 2*a*b^3*d*e^2 + a^2*b^2*e^3))/(b^2*d + (b*x + a)*b*e - a*b*e)^(3/2)","B",0
2242,1,353,0,1.362698," ","integrate((B*x+A)/(e*x+d)^(7/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(b x + a\right)} {\left(\frac{2 \, {\left(B b^{6} d {\left| b \right|} e^{3} - 5 \, B a b^{5} {\left| b \right|} e^{4} + 4 \, A b^{6} {\left| b \right|} e^{4}\right)} {\left(b x + a\right)}}{b^{5} d^{3} e^{2} - 3 \, a b^{4} d^{2} e^{3} + 3 \, a^{2} b^{3} d e^{4} - a^{3} b^{2} e^{5}} + \frac{5 \, {\left(B b^{7} d^{2} {\left| b \right|} e^{2} - 6 \, B a b^{6} d {\left| b \right|} e^{3} + 4 \, A b^{7} d {\left| b \right|} e^{3} + 5 \, B a^{2} b^{5} {\left| b \right|} e^{4} - 4 \, A a b^{6} {\left| b \right|} e^{4}\right)}}{b^{5} d^{3} e^{2} - 3 \, a b^{4} d^{2} e^{3} + 3 \, a^{2} b^{3} d e^{4} - a^{3} b^{2} e^{5}}\right)} - \frac{15 \, {\left(B a b^{7} d^{2} {\left| b \right|} e^{2} - A b^{8} d^{2} {\left| b \right|} e^{2} - 2 \, B a^{2} b^{6} d {\left| b \right|} e^{3} + 2 \, A a b^{7} d {\left| b \right|} e^{3} + B a^{3} b^{5} {\left| b \right|} e^{4} - A a^{2} b^{6} {\left| b \right|} e^{4}\right)}}{b^{5} d^{3} e^{2} - 3 \, a b^{4} d^{2} e^{3} + 3 \, a^{2} b^{3} d e^{4} - a^{3} b^{2} e^{5}}\right)} \sqrt{b x + a}}{15 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{5}{2}}}"," ",0,"2/15*((b*x + a)*(2*(B*b^6*d*abs(b)*e^3 - 5*B*a*b^5*abs(b)*e^4 + 4*A*b^6*abs(b)*e^4)*(b*x + a)/(b^5*d^3*e^2 - 3*a*b^4*d^2*e^3 + 3*a^2*b^3*d*e^4 - a^3*b^2*e^5) + 5*(B*b^7*d^2*abs(b)*e^2 - 6*B*a*b^6*d*abs(b)*e^3 + 4*A*b^7*d*abs(b)*e^3 + 5*B*a^2*b^5*abs(b)*e^4 - 4*A*a*b^6*abs(b)*e^4)/(b^5*d^3*e^2 - 3*a*b^4*d^2*e^3 + 3*a^2*b^3*d*e^4 - a^3*b^2*e^5)) - 15*(B*a*b^7*d^2*abs(b)*e^2 - A*b^8*d^2*abs(b)*e^2 - 2*B*a^2*b^6*d*abs(b)*e^3 + 2*A*a*b^7*d*abs(b)*e^3 + B*a^3*b^5*abs(b)*e^4 - A*a^2*b^6*abs(b)*e^4)/(b^5*d^3*e^2 - 3*a*b^4*d^2*e^3 + 3*a^2*b^3*d*e^4 - a^3*b^2*e^5))*sqrt(b*x + a)/(b^2*d + (b*x + a)*b*e - a*b*e)^(5/2)","B",0
2243,1,579,0,1.833283," ","integrate((B*x+A)/(e*x+d)^(9/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(B b^{8} d {\left| b \right|} e^{5} - 7 \, B a b^{7} {\left| b \right|} e^{6} + 6 \, A b^{8} {\left| b \right|} e^{6}\right)} {\left(b x + a\right)}}{b^{6} d^{4} e^{3} - 4 \, a b^{5} d^{3} e^{4} + 6 \, a^{2} b^{4} d^{2} e^{5} - 4 \, a^{3} b^{3} d e^{6} + a^{4} b^{2} e^{7}} + \frac{7 \, {\left(B b^{9} d^{2} {\left| b \right|} e^{4} - 8 \, B a b^{8} d {\left| b \right|} e^{5} + 6 \, A b^{9} d {\left| b \right|} e^{5} + 7 \, B a^{2} b^{7} {\left| b \right|} e^{6} - 6 \, A a b^{8} {\left| b \right|} e^{6}\right)}}{b^{6} d^{4} e^{3} - 4 \, a b^{5} d^{3} e^{4} + 6 \, a^{2} b^{4} d^{2} e^{5} - 4 \, a^{3} b^{3} d e^{6} + a^{4} b^{2} e^{7}}\right)} + \frac{35 \, {\left(B b^{10} d^{3} {\left| b \right|} e^{3} - 9 \, B a b^{9} d^{2} {\left| b \right|} e^{4} + 6 \, A b^{10} d^{2} {\left| b \right|} e^{4} + 15 \, B a^{2} b^{8} d {\left| b \right|} e^{5} - 12 \, A a b^{9} d {\left| b \right|} e^{5} - 7 \, B a^{3} b^{7} {\left| b \right|} e^{6} + 6 \, A a^{2} b^{8} {\left| b \right|} e^{6}\right)}}{b^{6} d^{4} e^{3} - 4 \, a b^{5} d^{3} e^{4} + 6 \, a^{2} b^{4} d^{2} e^{5} - 4 \, a^{3} b^{3} d e^{6} + a^{4} b^{2} e^{7}}\right)} {\left(b x + a\right)} - \frac{105 \, {\left(B a b^{10} d^{3} {\left| b \right|} e^{3} - A b^{11} d^{3} {\left| b \right|} e^{3} - 3 \, B a^{2} b^{9} d^{2} {\left| b \right|} e^{4} + 3 \, A a b^{10} d^{2} {\left| b \right|} e^{4} + 3 \, B a^{3} b^{8} d {\left| b \right|} e^{5} - 3 \, A a^{2} b^{9} d {\left| b \right|} e^{5} - B a^{4} b^{7} {\left| b \right|} e^{6} + A a^{3} b^{8} {\left| b \right|} e^{6}\right)}}{b^{6} d^{4} e^{3} - 4 \, a b^{5} d^{3} e^{4} + 6 \, a^{2} b^{4} d^{2} e^{5} - 4 \, a^{3} b^{3} d e^{6} + a^{4} b^{2} e^{7}}\right)} \sqrt{b x + a}}{105 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{7}{2}}}"," ",0,"2/105*((4*(b*x + a)*(2*(B*b^8*d*abs(b)*e^5 - 7*B*a*b^7*abs(b)*e^6 + 6*A*b^8*abs(b)*e^6)*(b*x + a)/(b^6*d^4*e^3 - 4*a*b^5*d^3*e^4 + 6*a^2*b^4*d^2*e^5 - 4*a^3*b^3*d*e^6 + a^4*b^2*e^7) + 7*(B*b^9*d^2*abs(b)*e^4 - 8*B*a*b^8*d*abs(b)*e^5 + 6*A*b^9*d*abs(b)*e^5 + 7*B*a^2*b^7*abs(b)*e^6 - 6*A*a*b^8*abs(b)*e^6)/(b^6*d^4*e^3 - 4*a*b^5*d^3*e^4 + 6*a^2*b^4*d^2*e^5 - 4*a^3*b^3*d*e^6 + a^4*b^2*e^7)) + 35*(B*b^10*d^3*abs(b)*e^3 - 9*B*a*b^9*d^2*abs(b)*e^4 + 6*A*b^10*d^2*abs(b)*e^4 + 15*B*a^2*b^8*d*abs(b)*e^5 - 12*A*a*b^9*d*abs(b)*e^5 - 7*B*a^3*b^7*abs(b)*e^6 + 6*A*a^2*b^8*abs(b)*e^6)/(b^6*d^4*e^3 - 4*a*b^5*d^3*e^4 + 6*a^2*b^4*d^2*e^5 - 4*a^3*b^3*d*e^6 + a^4*b^2*e^7))*(b*x + a) - 105*(B*a*b^10*d^3*abs(b)*e^3 - A*b^11*d^3*abs(b)*e^3 - 3*B*a^2*b^9*d^2*abs(b)*e^4 + 3*A*a*b^10*d^2*abs(b)*e^4 + 3*B*a^3*b^8*d*abs(b)*e^5 - 3*A*a^2*b^9*d*abs(b)*e^5 - B*a^4*b^7*abs(b)*e^6 + A*a^3*b^8*abs(b)*e^6)/(b^6*d^4*e^3 - 4*a*b^5*d^3*e^4 + 6*a^2*b^4*d^2*e^5 - 4*a^3*b^3*d*e^6 + a^4*b^2*e^7))*sqrt(b*x + a)/(b^2*d + (b*x + a)*b*e - a*b*e)^(7/2)","B",0
2244,1,871,0,2.780138," ","integrate((B*x+A)/(e*x+d)^(11/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(2 \, {\left(4 \, {\left(b x + a\right)} {\left(\frac{2 \, {\left(B b^{10} d {\left| b \right|} e^{7} - 9 \, B a b^{9} {\left| b \right|} e^{8} + 8 \, A b^{10} {\left| b \right|} e^{8}\right)} {\left(b x + a\right)}}{b^{7} d^{5} e^{4} - 5 \, a b^{6} d^{4} e^{5} + 10 \, a^{2} b^{5} d^{3} e^{6} - 10 \, a^{3} b^{4} d^{2} e^{7} + 5 \, a^{4} b^{3} d e^{8} - a^{5} b^{2} e^{9}} + \frac{9 \, {\left(B b^{11} d^{2} {\left| b \right|} e^{6} - 10 \, B a b^{10} d {\left| b \right|} e^{7} + 8 \, A b^{11} d {\left| b \right|} e^{7} + 9 \, B a^{2} b^{9} {\left| b \right|} e^{8} - 8 \, A a b^{10} {\left| b \right|} e^{8}\right)}}{b^{7} d^{5} e^{4} - 5 \, a b^{6} d^{4} e^{5} + 10 \, a^{2} b^{5} d^{3} e^{6} - 10 \, a^{3} b^{4} d^{2} e^{7} + 5 \, a^{4} b^{3} d e^{8} - a^{5} b^{2} e^{9}}\right)} + \frac{63 \, {\left(B b^{12} d^{3} {\left| b \right|} e^{5} - 11 \, B a b^{11} d^{2} {\left| b \right|} e^{6} + 8 \, A b^{12} d^{2} {\left| b \right|} e^{6} + 19 \, B a^{2} b^{10} d {\left| b \right|} e^{7} - 16 \, A a b^{11} d {\left| b \right|} e^{7} - 9 \, B a^{3} b^{9} {\left| b \right|} e^{8} + 8 \, A a^{2} b^{10} {\left| b \right|} e^{8}\right)}}{b^{7} d^{5} e^{4} - 5 \, a b^{6} d^{4} e^{5} + 10 \, a^{2} b^{5} d^{3} e^{6} - 10 \, a^{3} b^{4} d^{2} e^{7} + 5 \, a^{4} b^{3} d e^{8} - a^{5} b^{2} e^{9}}\right)} {\left(b x + a\right)} + \frac{105 \, {\left(B b^{13} d^{4} {\left| b \right|} e^{4} - 12 \, B a b^{12} d^{3} {\left| b \right|} e^{5} + 8 \, A b^{13} d^{3} {\left| b \right|} e^{5} + 30 \, B a^{2} b^{11} d^{2} {\left| b \right|} e^{6} - 24 \, A a b^{12} d^{2} {\left| b \right|} e^{6} - 28 \, B a^{3} b^{10} d {\left| b \right|} e^{7} + 24 \, A a^{2} b^{11} d {\left| b \right|} e^{7} + 9 \, B a^{4} b^{9} {\left| b \right|} e^{8} - 8 \, A a^{3} b^{10} {\left| b \right|} e^{8}\right)}}{b^{7} d^{5} e^{4} - 5 \, a b^{6} d^{4} e^{5} + 10 \, a^{2} b^{5} d^{3} e^{6} - 10 \, a^{3} b^{4} d^{2} e^{7} + 5 \, a^{4} b^{3} d e^{8} - a^{5} b^{2} e^{9}}\right)} {\left(b x + a\right)} - \frac{315 \, {\left(B a b^{13} d^{4} {\left| b \right|} e^{4} - A b^{14} d^{4} {\left| b \right|} e^{4} - 4 \, B a^{2} b^{12} d^{3} {\left| b \right|} e^{5} + 4 \, A a b^{13} d^{3} {\left| b \right|} e^{5} + 6 \, B a^{3} b^{11} d^{2} {\left| b \right|} e^{6} - 6 \, A a^{2} b^{12} d^{2} {\left| b \right|} e^{6} - 4 \, B a^{4} b^{10} d {\left| b \right|} e^{7} + 4 \, A a^{3} b^{11} d {\left| b \right|} e^{7} + B a^{5} b^{9} {\left| b \right|} e^{8} - A a^{4} b^{10} {\left| b \right|} e^{8}\right)}}{b^{7} d^{5} e^{4} - 5 \, a b^{6} d^{4} e^{5} + 10 \, a^{2} b^{5} d^{3} e^{6} - 10 \, a^{3} b^{4} d^{2} e^{7} + 5 \, a^{4} b^{3} d e^{8} - a^{5} b^{2} e^{9}}\right)} \sqrt{b x + a}}{315 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{9}{2}}}"," ",0,"2/315*((2*(4*(b*x + a)*(2*(B*b^10*d*abs(b)*e^7 - 9*B*a*b^9*abs(b)*e^8 + 8*A*b^10*abs(b)*e^8)*(b*x + a)/(b^7*d^5*e^4 - 5*a*b^6*d^4*e^5 + 10*a^2*b^5*d^3*e^6 - 10*a^3*b^4*d^2*e^7 + 5*a^4*b^3*d*e^8 - a^5*b^2*e^9) + 9*(B*b^11*d^2*abs(b)*e^6 - 10*B*a*b^10*d*abs(b)*e^7 + 8*A*b^11*d*abs(b)*e^7 + 9*B*a^2*b^9*abs(b)*e^8 - 8*A*a*b^10*abs(b)*e^8)/(b^7*d^5*e^4 - 5*a*b^6*d^4*e^5 + 10*a^2*b^5*d^3*e^6 - 10*a^3*b^4*d^2*e^7 + 5*a^4*b^3*d*e^8 - a^5*b^2*e^9)) + 63*(B*b^12*d^3*abs(b)*e^5 - 11*B*a*b^11*d^2*abs(b)*e^6 + 8*A*b^12*d^2*abs(b)*e^6 + 19*B*a^2*b^10*d*abs(b)*e^7 - 16*A*a*b^11*d*abs(b)*e^7 - 9*B*a^3*b^9*abs(b)*e^8 + 8*A*a^2*b^10*abs(b)*e^8)/(b^7*d^5*e^4 - 5*a*b^6*d^4*e^5 + 10*a^2*b^5*d^3*e^6 - 10*a^3*b^4*d^2*e^7 + 5*a^4*b^3*d*e^8 - a^5*b^2*e^9))*(b*x + a) + 105*(B*b^13*d^4*abs(b)*e^4 - 12*B*a*b^12*d^3*abs(b)*e^5 + 8*A*b^13*d^3*abs(b)*e^5 + 30*B*a^2*b^11*d^2*abs(b)*e^6 - 24*A*a*b^12*d^2*abs(b)*e^6 - 28*B*a^3*b^10*d*abs(b)*e^7 + 24*A*a^2*b^11*d*abs(b)*e^7 + 9*B*a^4*b^9*abs(b)*e^8 - 8*A*a^3*b^10*abs(b)*e^8)/(b^7*d^5*e^4 - 5*a*b^6*d^4*e^5 + 10*a^2*b^5*d^3*e^6 - 10*a^3*b^4*d^2*e^7 + 5*a^4*b^3*d*e^8 - a^5*b^2*e^9))*(b*x + a) - 315*(B*a*b^13*d^4*abs(b)*e^4 - A*b^14*d^4*abs(b)*e^4 - 4*B*a^2*b^12*d^3*abs(b)*e^5 + 4*A*a*b^13*d^3*abs(b)*e^5 + 6*B*a^3*b^11*d^2*abs(b)*e^6 - 6*A*a^2*b^12*d^2*abs(b)*e^6 - 4*B*a^4*b^10*d*abs(b)*e^7 + 4*A*a^3*b^11*d*abs(b)*e^7 + B*a^5*b^9*abs(b)*e^8 - A*a^4*b^10*abs(b)*e^8)/(b^7*d^5*e^4 - 5*a*b^6*d^4*e^5 + 10*a^2*b^5*d^3*e^6 - 10*a^3*b^4*d^2*e^7 + 5*a^4*b^3*d*e^8 - a^5*b^2*e^9))*sqrt(b*x + a)/(b^2*d + (b*x + a)*b*e - a*b*e)^(9/2)","B",0
2245,1,477,0,2.989667," ","integrate((B*x+A)*(e*x+d)^(5/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{1}{24} \, \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)} B {\left| b \right|} e^{2}}{b^{6}} + \frac{{\left(13 \, B b^{18} d {\left| b \right|} e^{5} - 19 \, B a b^{17} {\left| b \right|} e^{6} + 6 \, A b^{18} {\left| b \right|} e^{6}\right)} e^{\left(-4\right)}}{b^{23}}\right)} + \frac{3 \, {\left(11 \, B b^{19} d^{2} {\left| b \right|} e^{4} - 40 \, B a b^{18} d {\left| b \right|} e^{5} + 18 \, A b^{19} d {\left| b \right|} e^{5} + 29 \, B a^{2} b^{17} {\left| b \right|} e^{6} - 18 \, A a b^{18} {\left| b \right|} e^{6}\right)} e^{\left(-4\right)}}{b^{23}}\right)} - \frac{5 \, {\left(B b^{\frac{7}{2}} d^{3} {\left| b \right|} e^{\frac{1}{2}} - 9 \, B a b^{\frac{5}{2}} d^{2} {\left| b \right|} e^{\frac{3}{2}} + 6 \, A b^{\frac{7}{2}} d^{2} {\left| b \right|} e^{\frac{3}{2}} + 15 \, B a^{2} b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{5}{2}} - 12 \, A a b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{5}{2}} - 7 \, B a^{3} \sqrt{b} {\left| b \right|} e^{\frac{7}{2}} + 6 \, A a^{2} b^{\frac{3}{2}} {\left| b \right|} e^{\frac{7}{2}}\right)} e^{\left(-1\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}{16 \, b^{6}} + \frac{4 \, {\left(B a b^{\frac{7}{2}} d^{3} {\left| b \right|} e^{\frac{1}{2}} - A b^{\frac{9}{2}} d^{3} {\left| b \right|} e^{\frac{1}{2}} - 3 \, B a^{2} b^{\frac{5}{2}} d^{2} {\left| b \right|} e^{\frac{3}{2}} + 3 \, A a b^{\frac{7}{2}} d^{2} {\left| b \right|} e^{\frac{3}{2}} + 3 \, B a^{3} b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{5}{2}} - 3 \, A a^{2} b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{5}{2}} - B a^{4} \sqrt{b} {\left| b \right|} e^{\frac{7}{2}} + A a^{3} b^{\frac{3}{2}} {\left| b \right|} e^{\frac{7}{2}}\right)}}{{\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)} b^{5}}"," ",0,"1/24*sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)*B*abs(b)*e^2/b^6 + (13*B*b^18*d*abs(b)*e^5 - 19*B*a*b^17*abs(b)*e^6 + 6*A*b^18*abs(b)*e^6)*e^(-4)/b^23) + 3*(11*B*b^19*d^2*abs(b)*e^4 - 40*B*a*b^18*d*abs(b)*e^5 + 18*A*b^19*d*abs(b)*e^5 + 29*B*a^2*b^17*abs(b)*e^6 - 18*A*a*b^18*abs(b)*e^6)*e^(-4)/b^23) - 5/16*(B*b^(7/2)*d^3*abs(b)*e^(1/2) - 9*B*a*b^(5/2)*d^2*abs(b)*e^(3/2) + 6*A*b^(7/2)*d^2*abs(b)*e^(3/2) + 15*B*a^2*b^(3/2)*d*abs(b)*e^(5/2) - 12*A*a*b^(5/2)*d*abs(b)*e^(5/2) - 7*B*a^3*sqrt(b)*abs(b)*e^(7/2) + 6*A*a^2*b^(3/2)*abs(b)*e^(7/2))*e^(-1)*log((sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)/b^6 + 4*(B*a*b^(7/2)*d^3*abs(b)*e^(1/2) - A*b^(9/2)*d^3*abs(b)*e^(1/2) - 3*B*a^2*b^(5/2)*d^2*abs(b)*e^(3/2) + 3*A*a*b^(7/2)*d^2*abs(b)*e^(3/2) + 3*B*a^3*b^(3/2)*d*abs(b)*e^(5/2) - 3*A*a^2*b^(5/2)*d*abs(b)*e^(5/2) - B*a^4*sqrt(b)*abs(b)*e^(7/2) + A*a^3*b^(3/2)*abs(b)*e^(7/2))/((b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)*b^5)","B",0
2246,1,337,0,1.981964," ","integrate((B*x+A)*(e*x+d)^(3/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(\frac{2 \, {\left(b x + a\right)} B {\left| b \right|} e}{b^{5}} + \frac{{\left(5 \, B b^{10} d {\left| b \right|} e^{2} - 9 \, B a b^{9} {\left| b \right|} e^{3} + 4 \, A b^{10} {\left| b \right|} e^{3}\right)} e^{\left(-2\right)}}{b^{14}}\right)} - \frac{3 \, {\left(B b^{\frac{5}{2}} d^{2} {\left| b \right|} e^{\frac{1}{2}} - 6 \, B a b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{3}{2}} + 4 \, A b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{3}{2}} + 5 \, B a^{2} \sqrt{b} {\left| b \right|} e^{\frac{5}{2}} - 4 \, A a b^{\frac{3}{2}} {\left| b \right|} e^{\frac{5}{2}}\right)} e^{\left(-1\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}{8 \, b^{5}} + \frac{4 \, {\left(B a b^{\frac{5}{2}} d^{2} {\left| b \right|} e^{\frac{1}{2}} - A b^{\frac{7}{2}} d^{2} {\left| b \right|} e^{\frac{1}{2}} - 2 \, B a^{2} b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{3}{2}} + 2 \, A a b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{3}{2}} + B a^{3} \sqrt{b} {\left| b \right|} e^{\frac{5}{2}} - A a^{2} b^{\frac{3}{2}} {\left| b \right|} e^{\frac{5}{2}}\right)}}{{\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)} b^{4}}"," ",0,"1/4*sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*B*abs(b)*e/b^5 + (5*B*b^10*d*abs(b)*e^2 - 9*B*a*b^9*abs(b)*e^3 + 4*A*b^10*abs(b)*e^3)*e^(-2)/b^14) - 3/8*(B*b^(5/2)*d^2*abs(b)*e^(1/2) - 6*B*a*b^(3/2)*d*abs(b)*e^(3/2) + 4*A*b^(5/2)*d*abs(b)*e^(3/2) + 5*B*a^2*sqrt(b)*abs(b)*e^(5/2) - 4*A*a*b^(3/2)*abs(b)*e^(5/2))*e^(-1)*log((sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)/b^5 + 4*(B*a*b^(5/2)*d^2*abs(b)*e^(1/2) - A*b^(7/2)*d^2*abs(b)*e^(1/2) - 2*B*a^2*b^(3/2)*d*abs(b)*e^(3/2) + 2*A*a*b^(5/2)*d*abs(b)*e^(3/2) + B*a^3*sqrt(b)*abs(b)*e^(5/2) - A*a^2*b^(3/2)*abs(b)*e^(5/2))/((b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)*b^4)","A",0
2247,1,227,0,1.452121," ","integrate((B*x+A)*(e*x+d)^(1/2)/(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} B {\left| b \right|}}{b^{4}} - \frac{{\left(B b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{1}{2}} - 3 \, B a \sqrt{b} {\left| b \right|} e^{\frac{3}{2}} + 2 \, A b^{\frac{3}{2}} {\left| b \right|} e^{\frac{3}{2}}\right)} e^{\left(-1\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}{2 \, b^{4}} + \frac{4 \, {\left(B a b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{1}{2}} - A b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{1}{2}} - B a^{2} \sqrt{b} {\left| b \right|} e^{\frac{3}{2}} + A a b^{\frac{3}{2}} {\left| b \right|} e^{\frac{3}{2}}\right)}}{{\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)} b^{3}}"," ",0,"sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*B*abs(b)/b^4 - 1/2*(B*b^(3/2)*d*abs(b)*e^(1/2) - 3*B*a*sqrt(b)*abs(b)*e^(3/2) + 2*A*b^(3/2)*abs(b)*e^(3/2))*e^(-1)*log((sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)/b^4 + 4*(B*a*b^(3/2)*d*abs(b)*e^(1/2) - A*b^(5/2)*d*abs(b)*e^(1/2) - B*a^2*sqrt(b)*abs(b)*e^(3/2) + A*a*b^(3/2)*abs(b)*e^(3/2))/((b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)*b^3)","A",0
2248,1,135,0,1.196512," ","integrate((B*x+A)/(b*x+a)^(3/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","-\frac{B e^{\left(-\frac{1}{2}\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}{\sqrt{b} {\left| b \right|}} + \frac{4 \, {\left(B a \sqrt{b} e^{\frac{1}{2}} - A b^{\frac{3}{2}} e^{\frac{1}{2}}\right)}}{{\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)} {\left| b \right|}}"," ",0,"-B*e^(-1/2)*log((sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)/(sqrt(b)*abs(b)) + 4*(B*a*sqrt(b)*e^(1/2) - A*b^(3/2)*e^(1/2))/((b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)*abs(b))","A",0
2249,1,264,0,1.235436," ","integrate((B*x+A)/(b*x+a)^(3/2)/(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(B b^{2} d - A b^{2} e\right)} \sqrt{b x + a}}{{\left(b^{2} d^{2} {\left| b \right|} - 2 \, a b d {\left| b \right|} e + a^{2} {\left| b \right|} e^{2}\right)} \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}} + \frac{4 \, {\left(B^{2} a^{2} b^{3} e - 2 \, A B a b^{4} e + A^{2} b^{5} e\right)}}{{\left(B a b^{\frac{7}{2}} d e^{\frac{1}{2}} - A b^{\frac{9}{2}} d e^{\frac{1}{2}} - B a^{2} b^{\frac{5}{2}} e^{\frac{3}{2}} + A a b^{\frac{7}{2}} e^{\frac{3}{2}} - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a b^{\frac{3}{2}} e^{\frac{1}{2}} + {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A b^{\frac{5}{2}} e^{\frac{1}{2}}\right)} {\left(b d {\left| b \right|} - a {\left| b \right|} e\right)}}"," ",0,"2*(B*b^2*d - A*b^2*e)*sqrt(b*x + a)/((b^2*d^2*abs(b) - 2*a*b*d*abs(b)*e + a^2*abs(b)*e^2)*sqrt(b^2*d + (b*x + a)*b*e - a*b*e)) + 4*(B^2*a^2*b^3*e - 2*A*B*a*b^4*e + A^2*b^5*e)/((B*a*b^(7/2)*d*e^(1/2) - A*b^(9/2)*d*e^(1/2) - B*a^2*b^(5/2)*e^(3/2) + A*a*b^(7/2)*e^(3/2) - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a*b^(3/2)*e^(1/2) + (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*b^(5/2)*e^(1/2))*(b*d*abs(b) - a*abs(b)*e))","B",0
2250,1,584,0,1.979688," ","integrate((B*x+A)/(b*x+a)^(3/2)/(e*x+d)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(2 \, B b^{6} d^{3} {\left| b \right|} e^{2} - B a b^{5} d^{2} {\left| b \right|} e^{3} - 5 \, A b^{6} d^{2} {\left| b \right|} e^{3} - 4 \, B a^{2} b^{4} d {\left| b \right|} e^{4} + 10 \, A a b^{5} d {\left| b \right|} e^{4} + 3 \, B a^{3} b^{3} {\left| b \right|} e^{5} - 5 \, A a^{2} b^{4} {\left| b \right|} e^{5}\right)} {\left(b x + a\right)}}{b^{7} d^{5} e - 5 \, a b^{6} d^{4} e^{2} + 10 \, a^{2} b^{5} d^{3} e^{3} - 10 \, a^{3} b^{4} d^{2} e^{4} + 5 \, a^{4} b^{3} d e^{5} - a^{5} b^{2} e^{6}} + \frac{3 \, {\left(B b^{7} d^{4} {\left| b \right|} e - 2 \, B a b^{6} d^{3} {\left| b \right|} e^{2} - 2 \, A b^{7} d^{3} {\left| b \right|} e^{2} + 6 \, A a b^{6} d^{2} {\left| b \right|} e^{3} + 2 \, B a^{3} b^{4} d {\left| b \right|} e^{4} - 6 \, A a^{2} b^{5} d {\left| b \right|} e^{4} - B a^{4} b^{3} {\left| b \right|} e^{5} + 2 \, A a^{3} b^{4} {\left| b \right|} e^{5}\right)}}{b^{7} d^{5} e - 5 \, a b^{6} d^{4} e^{2} + 10 \, a^{2} b^{5} d^{3} e^{3} - 10 \, a^{3} b^{4} d^{2} e^{4} + 5 \, a^{4} b^{3} d e^{5} - a^{5} b^{2} e^{6}}\right)}}{3 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{3}{2}}} + \frac{4 \, {\left(B^{2} a^{2} b^{5} e - 2 \, A B a b^{6} e + A^{2} b^{7} e\right)}}{{\left(B a b^{\frac{9}{2}} d e^{\frac{1}{2}} - A b^{\frac{11}{2}} d e^{\frac{1}{2}} - B a^{2} b^{\frac{7}{2}} e^{\frac{3}{2}} + A a b^{\frac{9}{2}} e^{\frac{3}{2}} - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a b^{\frac{5}{2}} e^{\frac{1}{2}} + {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A b^{\frac{7}{2}} e^{\frac{1}{2}}\right)} {\left(b^{2} d^{2} {\left| b \right|} - 2 \, a b d {\left| b \right|} e + a^{2} {\left| b \right|} e^{2}\right)}}"," ",0,"2/3*sqrt(b*x + a)*((2*B*b^6*d^3*abs(b)*e^2 - B*a*b^5*d^2*abs(b)*e^3 - 5*A*b^6*d^2*abs(b)*e^3 - 4*B*a^2*b^4*d*abs(b)*e^4 + 10*A*a*b^5*d*abs(b)*e^4 + 3*B*a^3*b^3*abs(b)*e^5 - 5*A*a^2*b^4*abs(b)*e^5)*(b*x + a)/(b^7*d^5*e - 5*a*b^6*d^4*e^2 + 10*a^2*b^5*d^3*e^3 - 10*a^3*b^4*d^2*e^4 + 5*a^4*b^3*d*e^5 - a^5*b^2*e^6) + 3*(B*b^7*d^4*abs(b)*e - 2*B*a*b^6*d^3*abs(b)*e^2 - 2*A*b^7*d^3*abs(b)*e^2 + 6*A*a*b^6*d^2*abs(b)*e^3 + 2*B*a^3*b^4*d*abs(b)*e^4 - 6*A*a^2*b^5*d*abs(b)*e^4 - B*a^4*b^3*abs(b)*e^5 + 2*A*a^3*b^4*abs(b)*e^5)/(b^7*d^5*e - 5*a*b^6*d^4*e^2 + 10*a^2*b^5*d^3*e^3 - 10*a^3*b^4*d^2*e^4 + 5*a^4*b^3*d*e^5 - a^5*b^2*e^6))/(b^2*d + (b*x + a)*b*e - a*b*e)^(3/2) + 4*(B^2*a^2*b^5*e - 2*A*B*a*b^6*e + A^2*b^7*e)/((B*a*b^(9/2)*d*e^(1/2) - A*b^(11/2)*d*e^(1/2) - B*a^2*b^(7/2)*e^(3/2) + A*a*b^(9/2)*e^(3/2) - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a*b^(5/2)*e^(1/2) + (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*b^(7/2)*e^(1/2))*(b^2*d^2*abs(b) - 2*a*b*d*abs(b)*e + a^2*abs(b)*e^2))","B",0
2251,1,1266,0,3.150259," ","integrate((B*x+A)/(b*x+a)^(3/2)/(e*x+d)^(7/2),x, algorithm=""giac"")","\frac{4 \, {\left(B^{2} a^{2} b^{7} e - 2 \, A B a b^{8} e + A^{2} b^{9} e\right)}}{{\left(B a b^{\frac{11}{2}} d e^{\frac{1}{2}} - A b^{\frac{13}{2}} d e^{\frac{1}{2}} - B a^{2} b^{\frac{9}{2}} e^{\frac{3}{2}} + A a b^{\frac{11}{2}} e^{\frac{3}{2}} - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a b^{\frac{7}{2}} e^{\frac{1}{2}} + {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A b^{\frac{9}{2}} e^{\frac{1}{2}}\right)} {\left(b^{3} d^{3} {\left| b \right|} - 3 \, a b^{2} d^{2} {\left| b \right|} e + 3 \, a^{2} b d {\left| b \right|} e^{2} - a^{3} {\left| b \right|} e^{3}\right)}} + \frac{2 \, {\left({\left(b x + a\right)} {\left(\frac{{\left(8 \, B b^{13} d^{6} e^{4} - 15 \, B a b^{12} d^{5} e^{5} - 33 \, A b^{13} d^{5} e^{5} - 45 \, B a^{2} b^{11} d^{4} e^{6} + 165 \, A a b^{12} d^{4} e^{6} + 170 \, B a^{3} b^{10} d^{3} e^{7} - 330 \, A a^{2} b^{11} d^{3} e^{7} - 210 \, B a^{4} b^{9} d^{2} e^{8} + 330 \, A a^{3} b^{10} d^{2} e^{8} + 117 \, B a^{5} b^{8} d e^{9} - 165 \, A a^{4} b^{9} d e^{9} - 25 \, B a^{6} b^{7} e^{10} + 33 \, A a^{5} b^{8} e^{10}\right)} {\left(b x + a\right)}}{b^{11} d^{9} {\left| b \right|} e^{2} - 9 \, a b^{10} d^{8} {\left| b \right|} e^{3} + 36 \, a^{2} b^{9} d^{7} {\left| b \right|} e^{4} - 84 \, a^{3} b^{8} d^{6} {\left| b \right|} e^{5} + 126 \, a^{4} b^{7} d^{5} {\left| b \right|} e^{6} - 126 \, a^{5} b^{6} d^{4} {\left| b \right|} e^{7} + 84 \, a^{6} b^{5} d^{3} {\left| b \right|} e^{8} - 36 \, a^{7} b^{4} d^{2} {\left| b \right|} e^{9} + 9 \, a^{8} b^{3} d {\left| b \right|} e^{10} - a^{9} b^{2} {\left| b \right|} e^{11}} + \frac{5 \, {\left(4 \, B b^{14} d^{7} e^{3} - 13 \, B a b^{13} d^{6} e^{4} - 15 \, A b^{14} d^{6} e^{4} - 6 \, B a^{2} b^{12} d^{5} e^{5} + 90 \, A a b^{13} d^{5} e^{5} + 85 \, B a^{3} b^{11} d^{4} e^{6} - 225 \, A a^{2} b^{12} d^{4} e^{6} - 160 \, B a^{4} b^{10} d^{3} e^{7} + 300 \, A a^{3} b^{11} d^{3} e^{7} + 141 \, B a^{5} b^{9} d^{2} e^{8} - 225 \, A a^{4} b^{10} d^{2} e^{8} - 62 \, B a^{6} b^{8} d e^{9} + 90 \, A a^{5} b^{9} d e^{9} + 11 \, B a^{7} b^{7} e^{10} - 15 \, A a^{6} b^{8} e^{10}\right)}}{b^{11} d^{9} {\left| b \right|} e^{2} - 9 \, a b^{10} d^{8} {\left| b \right|} e^{3} + 36 \, a^{2} b^{9} d^{7} {\left| b \right|} e^{4} - 84 \, a^{3} b^{8} d^{6} {\left| b \right|} e^{5} + 126 \, a^{4} b^{7} d^{5} {\left| b \right|} e^{6} - 126 \, a^{5} b^{6} d^{4} {\left| b \right|} e^{7} + 84 \, a^{6} b^{5} d^{3} {\left| b \right|} e^{8} - 36 \, a^{7} b^{4} d^{2} {\left| b \right|} e^{9} + 9 \, a^{8} b^{3} d {\left| b \right|} e^{10} - a^{9} b^{2} {\left| b \right|} e^{11}}\right)} + \frac{15 \, {\left(B b^{15} d^{8} e^{2} - 5 \, B a b^{14} d^{7} e^{3} - 3 \, A b^{15} d^{7} e^{3} + 7 \, B a^{2} b^{13} d^{6} e^{4} + 21 \, A a b^{14} d^{6} e^{4} + 7 \, B a^{3} b^{12} d^{5} e^{5} - 63 \, A a^{2} b^{13} d^{5} e^{5} - 35 \, B a^{4} b^{11} d^{4} e^{6} + 105 \, A a^{3} b^{12} d^{4} e^{6} + 49 \, B a^{5} b^{10} d^{3} e^{7} - 105 \, A a^{4} b^{11} d^{3} e^{7} - 35 \, B a^{6} b^{9} d^{2} e^{8} + 63 \, A a^{5} b^{10} d^{2} e^{8} + 13 \, B a^{7} b^{8} d e^{9} - 21 \, A a^{6} b^{9} d e^{9} - 2 \, B a^{8} b^{7} e^{10} + 3 \, A a^{7} b^{8} e^{10}\right)}}{b^{11} d^{9} {\left| b \right|} e^{2} - 9 \, a b^{10} d^{8} {\left| b \right|} e^{3} + 36 \, a^{2} b^{9} d^{7} {\left| b \right|} e^{4} - 84 \, a^{3} b^{8} d^{6} {\left| b \right|} e^{5} + 126 \, a^{4} b^{7} d^{5} {\left| b \right|} e^{6} - 126 \, a^{5} b^{6} d^{4} {\left| b \right|} e^{7} + 84 \, a^{6} b^{5} d^{3} {\left| b \right|} e^{8} - 36 \, a^{7} b^{4} d^{2} {\left| b \right|} e^{9} + 9 \, a^{8} b^{3} d {\left| b \right|} e^{10} - a^{9} b^{2} {\left| b \right|} e^{11}}\right)} \sqrt{b x + a}}{15 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{5}{2}}}"," ",0,"4*(B^2*a^2*b^7*e - 2*A*B*a*b^8*e + A^2*b^9*e)/((B*a*b^(11/2)*d*e^(1/2) - A*b^(13/2)*d*e^(1/2) - B*a^2*b^(9/2)*e^(3/2) + A*a*b^(11/2)*e^(3/2) - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a*b^(7/2)*e^(1/2) + (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*b^(9/2)*e^(1/2))*(b^3*d^3*abs(b) - 3*a*b^2*d^2*abs(b)*e + 3*a^2*b*d*abs(b)*e^2 - a^3*abs(b)*e^3)) + 2/15*((b*x + a)*((8*B*b^13*d^6*e^4 - 15*B*a*b^12*d^5*e^5 - 33*A*b^13*d^5*e^5 - 45*B*a^2*b^11*d^4*e^6 + 165*A*a*b^12*d^4*e^6 + 170*B*a^3*b^10*d^3*e^7 - 330*A*a^2*b^11*d^3*e^7 - 210*B*a^4*b^9*d^2*e^8 + 330*A*a^3*b^10*d^2*e^8 + 117*B*a^5*b^8*d*e^9 - 165*A*a^4*b^9*d*e^9 - 25*B*a^6*b^7*e^10 + 33*A*a^5*b^8*e^10)*(b*x + a)/(b^11*d^9*abs(b)*e^2 - 9*a*b^10*d^8*abs(b)*e^3 + 36*a^2*b^9*d^7*abs(b)*e^4 - 84*a^3*b^8*d^6*abs(b)*e^5 + 126*a^4*b^7*d^5*abs(b)*e^6 - 126*a^5*b^6*d^4*abs(b)*e^7 + 84*a^6*b^5*d^3*abs(b)*e^8 - 36*a^7*b^4*d^2*abs(b)*e^9 + 9*a^8*b^3*d*abs(b)*e^10 - a^9*b^2*abs(b)*e^11) + 5*(4*B*b^14*d^7*e^3 - 13*B*a*b^13*d^6*e^4 - 15*A*b^14*d^6*e^4 - 6*B*a^2*b^12*d^5*e^5 + 90*A*a*b^13*d^5*e^5 + 85*B*a^3*b^11*d^4*e^6 - 225*A*a^2*b^12*d^4*e^6 - 160*B*a^4*b^10*d^3*e^7 + 300*A*a^3*b^11*d^3*e^7 + 141*B*a^5*b^9*d^2*e^8 - 225*A*a^4*b^10*d^2*e^8 - 62*B*a^6*b^8*d*e^9 + 90*A*a^5*b^9*d*e^9 + 11*B*a^7*b^7*e^10 - 15*A*a^6*b^8*e^10)/(b^11*d^9*abs(b)*e^2 - 9*a*b^10*d^8*abs(b)*e^3 + 36*a^2*b^9*d^7*abs(b)*e^4 - 84*a^3*b^8*d^6*abs(b)*e^5 + 126*a^4*b^7*d^5*abs(b)*e^6 - 126*a^5*b^6*d^4*abs(b)*e^7 + 84*a^6*b^5*d^3*abs(b)*e^8 - 36*a^7*b^4*d^2*abs(b)*e^9 + 9*a^8*b^3*d*abs(b)*e^10 - a^9*b^2*abs(b)*e^11)) + 15*(B*b^15*d^8*e^2 - 5*B*a*b^14*d^7*e^3 - 3*A*b^15*d^7*e^3 + 7*B*a^2*b^13*d^6*e^4 + 21*A*a*b^14*d^6*e^4 + 7*B*a^3*b^12*d^5*e^5 - 63*A*a^2*b^13*d^5*e^5 - 35*B*a^4*b^11*d^4*e^6 + 105*A*a^3*b^12*d^4*e^6 + 49*B*a^5*b^10*d^3*e^7 - 105*A*a^4*b^11*d^3*e^7 - 35*B*a^6*b^9*d^2*e^8 + 63*A*a^5*b^10*d^2*e^8 + 13*B*a^7*b^8*d*e^9 - 21*A*a^6*b^9*d*e^9 - 2*B*a^8*b^7*e^10 + 3*A*a^7*b^8*e^10)/(b^11*d^9*abs(b)*e^2 - 9*a*b^10*d^8*abs(b)*e^3 + 36*a^2*b^9*d^7*abs(b)*e^4 - 84*a^3*b^8*d^6*abs(b)*e^5 + 126*a^4*b^7*d^5*abs(b)*e^6 - 126*a^5*b^6*d^4*abs(b)*e^7 + 84*a^6*b^5*d^3*abs(b)*e^8 - 36*a^7*b^4*d^2*abs(b)*e^9 + 9*a^8*b^3*d*abs(b)*e^10 - a^9*b^2*abs(b)*e^11))*sqrt(b*x + a)/(b^2*d + (b*x + a)*b*e - a*b*e)^(5/2)","B",0
2252,1,2477,0,8.780992," ","integrate((B*x+A)/(b*x+a)^(3/2)/(e*x+d)^(9/2),x, algorithm=""giac"")","\frac{4 \, {\left(B^{2} a^{2} b^{9} e - 2 \, A B a b^{10} e + A^{2} b^{11} e\right)}}{{\left(B a b^{\frac{13}{2}} d e^{\frac{1}{2}} - A b^{\frac{15}{2}} d e^{\frac{1}{2}} - B a^{2} b^{\frac{11}{2}} e^{\frac{3}{2}} + A a b^{\frac{13}{2}} e^{\frac{3}{2}} - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a b^{\frac{9}{2}} e^{\frac{1}{2}} + {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A b^{\frac{11}{2}} e^{\frac{1}{2}}\right)} {\left(b^{4} d^{4} {\left| b \right|} - 4 \, a b^{3} d^{3} {\left| b \right|} e + 6 \, a^{2} b^{2} d^{2} {\left| b \right|} e^{2} - 4 \, a^{3} b d {\left| b \right|} e^{3} + a^{4} {\left| b \right|} e^{4}\right)}} + \frac{2 \, {\left({\left({\left(b x + a\right)} {\left(\frac{{\left(16 \, B b^{19} d^{10} {\left| b \right|} e^{6} - 67 \, B a b^{18} d^{9} {\left| b \right|} e^{7} - 93 \, A b^{19} d^{9} {\left| b \right|} e^{7} - 117 \, B a^{2} b^{17} d^{8} {\left| b \right|} e^{8} + 837 \, A a b^{18} d^{8} {\left| b \right|} e^{8} + 1428 \, B a^{3} b^{16} d^{7} {\left| b \right|} e^{9} - 3348 \, A a^{2} b^{17} d^{7} {\left| b \right|} e^{9} - 4452 \, B a^{4} b^{15} d^{6} {\left| b \right|} e^{10} + 7812 \, A a^{3} b^{16} d^{6} {\left| b \right|} e^{10} + 7686 \, B a^{5} b^{14} d^{5} {\left| b \right|} e^{11} - 11718 \, A a^{4} b^{15} d^{5} {\left| b \right|} e^{11} - 8358 \, B a^{6} b^{13} d^{4} {\left| b \right|} e^{12} + 11718 \, A a^{5} b^{14} d^{4} {\left| b \right|} e^{12} + 5892 \, B a^{7} b^{12} d^{3} {\left| b \right|} e^{13} - 7812 \, A a^{6} b^{13} d^{3} {\left| b \right|} e^{13} - 2628 \, B a^{8} b^{11} d^{2} {\left| b \right|} e^{14} + 3348 \, A a^{7} b^{12} d^{2} {\left| b \right|} e^{14} + 677 \, B a^{9} b^{10} d {\left| b \right|} e^{15} - 837 \, A a^{8} b^{11} d {\left| b \right|} e^{15} - 77 \, B a^{10} b^{9} {\left| b \right|} e^{16} + 93 \, A a^{9} b^{10} {\left| b \right|} e^{16}\right)} {\left(b x + a\right)}}{b^{18} d^{14} e^{3} - 14 \, a b^{17} d^{13} e^{4} + 91 \, a^{2} b^{16} d^{12} e^{5} - 364 \, a^{3} b^{15} d^{11} e^{6} + 1001 \, a^{4} b^{14} d^{10} e^{7} - 2002 \, a^{5} b^{13} d^{9} e^{8} + 3003 \, a^{6} b^{12} d^{8} e^{9} - 3432 \, a^{7} b^{11} d^{7} e^{10} + 3003 \, a^{8} b^{10} d^{6} e^{11} - 2002 \, a^{9} b^{9} d^{5} e^{12} + 1001 \, a^{10} b^{8} d^{4} e^{13} - 364 \, a^{11} b^{7} d^{3} e^{14} + 91 \, a^{12} b^{6} d^{2} e^{15} - 14 \, a^{13} b^{5} d e^{16} + a^{14} b^{4} e^{17}} + \frac{28 \, {\left(2 \, B b^{20} d^{11} {\left| b \right|} e^{5} - 11 \, B a b^{19} d^{10} {\left| b \right|} e^{6} - 11 \, A b^{20} d^{10} {\left| b \right|} e^{6} + 110 \, A a b^{19} d^{9} {\left| b \right|} e^{7} + 165 \, B a^{3} b^{17} d^{8} {\left| b \right|} e^{8} - 495 \, A a^{2} b^{18} d^{8} {\left| b \right|} e^{8} - 660 \, B a^{4} b^{16} d^{7} {\left| b \right|} e^{9} + 1320 \, A a^{3} b^{17} d^{7} {\left| b \right|} e^{9} + 1386 \, B a^{5} b^{15} d^{6} {\left| b \right|} e^{10} - 2310 \, A a^{4} b^{16} d^{6} {\left| b \right|} e^{10} - 1848 \, B a^{6} b^{14} d^{5} {\left| b \right|} e^{11} + 2772 \, A a^{5} b^{15} d^{5} {\left| b \right|} e^{11} + 1650 \, B a^{7} b^{13} d^{4} {\left| b \right|} e^{12} - 2310 \, A a^{6} b^{14} d^{4} {\left| b \right|} e^{12} - 990 \, B a^{8} b^{12} d^{3} {\left| b \right|} e^{13} + 1320 \, A a^{7} b^{13} d^{3} {\left| b \right|} e^{13} + 385 \, B a^{9} b^{11} d^{2} {\left| b \right|} e^{14} - 495 \, A a^{8} b^{12} d^{2} {\left| b \right|} e^{14} - 88 \, B a^{10} b^{10} d {\left| b \right|} e^{15} + 110 \, A a^{9} b^{11} d {\left| b \right|} e^{15} + 9 \, B a^{11} b^{9} {\left| b \right|} e^{16} - 11 \, A a^{10} b^{10} {\left| b \right|} e^{16}\right)}}{b^{18} d^{14} e^{3} - 14 \, a b^{17} d^{13} e^{4} + 91 \, a^{2} b^{16} d^{12} e^{5} - 364 \, a^{3} b^{15} d^{11} e^{6} + 1001 \, a^{4} b^{14} d^{10} e^{7} - 2002 \, a^{5} b^{13} d^{9} e^{8} + 3003 \, a^{6} b^{12} d^{8} e^{9} - 3432 \, a^{7} b^{11} d^{7} e^{10} + 3003 \, a^{8} b^{10} d^{6} e^{11} - 2002 \, a^{9} b^{9} d^{5} e^{12} + 1001 \, a^{10} b^{8} d^{4} e^{13} - 364 \, a^{11} b^{7} d^{3} e^{14} + 91 \, a^{12} b^{6} d^{2} e^{15} - 14 \, a^{13} b^{5} d e^{16} + a^{14} b^{4} e^{17}}\right)} + \frac{70 \, {\left(B b^{21} d^{12} {\left| b \right|} e^{4} - 7 \, B a b^{20} d^{11} {\left| b \right|} e^{5} - 5 \, A b^{21} d^{11} {\left| b \right|} e^{5} + 11 \, B a^{2} b^{19} d^{10} {\left| b \right|} e^{6} + 55 \, A a b^{20} d^{10} {\left| b \right|} e^{6} + 55 \, B a^{3} b^{18} d^{9} {\left| b \right|} e^{7} - 275 \, A a^{2} b^{19} d^{9} {\left| b \right|} e^{7} - 330 \, B a^{4} b^{17} d^{8} {\left| b \right|} e^{8} + 825 \, A a^{3} b^{18} d^{8} {\left| b \right|} e^{8} + 858 \, B a^{5} b^{16} d^{7} {\left| b \right|} e^{9} - 1650 \, A a^{4} b^{17} d^{7} {\left| b \right|} e^{9} - 1386 \, B a^{6} b^{15} d^{6} {\left| b \right|} e^{10} + 2310 \, A a^{5} b^{16} d^{6} {\left| b \right|} e^{10} + 1518 \, B a^{7} b^{14} d^{5} {\left| b \right|} e^{11} - 2310 \, A a^{6} b^{15} d^{5} {\left| b \right|} e^{11} - 1155 \, B a^{8} b^{13} d^{4} {\left| b \right|} e^{12} + 1650 \, A a^{7} b^{14} d^{4} {\left| b \right|} e^{12} + 605 \, B a^{9} b^{12} d^{3} {\left| b \right|} e^{13} - 825 \, A a^{8} b^{13} d^{3} {\left| b \right|} e^{13} - 209 \, B a^{10} b^{11} d^{2} {\left| b \right|} e^{14} + 275 \, A a^{9} b^{12} d^{2} {\left| b \right|} e^{14} + 43 \, B a^{11} b^{10} d {\left| b \right|} e^{15} - 55 \, A a^{10} b^{11} d {\left| b \right|} e^{15} - 4 \, B a^{12} b^{9} {\left| b \right|} e^{16} + 5 \, A a^{11} b^{10} {\left| b \right|} e^{16}\right)}}{b^{18} d^{14} e^{3} - 14 \, a b^{17} d^{13} e^{4} + 91 \, a^{2} b^{16} d^{12} e^{5} - 364 \, a^{3} b^{15} d^{11} e^{6} + 1001 \, a^{4} b^{14} d^{10} e^{7} - 2002 \, a^{5} b^{13} d^{9} e^{8} + 3003 \, a^{6} b^{12} d^{8} e^{9} - 3432 \, a^{7} b^{11} d^{7} e^{10} + 3003 \, a^{8} b^{10} d^{6} e^{11} - 2002 \, a^{9} b^{9} d^{5} e^{12} + 1001 \, a^{10} b^{8} d^{4} e^{13} - 364 \, a^{11} b^{7} d^{3} e^{14} + 91 \, a^{12} b^{6} d^{2} e^{15} - 14 \, a^{13} b^{5} d e^{16} + a^{14} b^{4} e^{17}}\right)} {\left(b x + a\right)} + \frac{35 \, {\left(B b^{22} d^{13} {\left| b \right|} e^{3} - 9 \, B a b^{21} d^{12} {\left| b \right|} e^{4} - 4 \, A b^{22} d^{12} {\left| b \right|} e^{4} + 30 \, B a^{2} b^{20} d^{11} {\left| b \right|} e^{5} + 48 \, A a b^{21} d^{11} {\left| b \right|} e^{5} - 22 \, B a^{3} b^{19} d^{10} {\left| b \right|} e^{6} - 264 \, A a^{2} b^{20} d^{10} {\left| b \right|} e^{6} - 165 \, B a^{4} b^{18} d^{9} {\left| b \right|} e^{7} + 880 \, A a^{3} b^{19} d^{9} {\left| b \right|} e^{7} + 693 \, B a^{5} b^{17} d^{8} {\left| b \right|} e^{8} - 1980 \, A a^{4} b^{18} d^{8} {\left| b \right|} e^{8} - 1452 \, B a^{6} b^{16} d^{7} {\left| b \right|} e^{9} + 3168 \, A a^{5} b^{17} d^{7} {\left| b \right|} e^{9} + 1980 \, B a^{7} b^{15} d^{6} {\left| b \right|} e^{10} - 3696 \, A a^{6} b^{16} d^{6} {\left| b \right|} e^{10} - 1881 \, B a^{8} b^{14} d^{5} {\left| b \right|} e^{11} + 3168 \, A a^{7} b^{15} d^{5} {\left| b \right|} e^{11} + 1265 \, B a^{9} b^{13} d^{4} {\left| b \right|} e^{12} - 1980 \, A a^{8} b^{14} d^{4} {\left| b \right|} e^{12} - 594 \, B a^{10} b^{12} d^{3} {\left| b \right|} e^{13} + 880 \, A a^{9} b^{13} d^{3} {\left| b \right|} e^{13} + 186 \, B a^{11} b^{11} d^{2} {\left| b \right|} e^{14} - 264 \, A a^{10} b^{12} d^{2} {\left| b \right|} e^{14} - 35 \, B a^{12} b^{10} d {\left| b \right|} e^{15} + 48 \, A a^{11} b^{11} d {\left| b \right|} e^{15} + 3 \, B a^{13} b^{9} {\left| b \right|} e^{16} - 4 \, A a^{12} b^{10} {\left| b \right|} e^{16}\right)}}{b^{18} d^{14} e^{3} - 14 \, a b^{17} d^{13} e^{4} + 91 \, a^{2} b^{16} d^{12} e^{5} - 364 \, a^{3} b^{15} d^{11} e^{6} + 1001 \, a^{4} b^{14} d^{10} e^{7} - 2002 \, a^{5} b^{13} d^{9} e^{8} + 3003 \, a^{6} b^{12} d^{8} e^{9} - 3432 \, a^{7} b^{11} d^{7} e^{10} + 3003 \, a^{8} b^{10} d^{6} e^{11} - 2002 \, a^{9} b^{9} d^{5} e^{12} + 1001 \, a^{10} b^{8} d^{4} e^{13} - 364 \, a^{11} b^{7} d^{3} e^{14} + 91 \, a^{12} b^{6} d^{2} e^{15} - 14 \, a^{13} b^{5} d e^{16} + a^{14} b^{4} e^{17}}\right)} \sqrt{b x + a}}{35 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{7}{2}}}"," ",0,"4*(B^2*a^2*b^9*e - 2*A*B*a*b^10*e + A^2*b^11*e)/((B*a*b^(13/2)*d*e^(1/2) - A*b^(15/2)*d*e^(1/2) - B*a^2*b^(11/2)*e^(3/2) + A*a*b^(13/2)*e^(3/2) - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a*b^(9/2)*e^(1/2) + (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*b^(11/2)*e^(1/2))*(b^4*d^4*abs(b) - 4*a*b^3*d^3*abs(b)*e + 6*a^2*b^2*d^2*abs(b)*e^2 - 4*a^3*b*d*abs(b)*e^3 + a^4*abs(b)*e^4)) + 2/35*(((b*x + a)*((16*B*b^19*d^10*abs(b)*e^6 - 67*B*a*b^18*d^9*abs(b)*e^7 - 93*A*b^19*d^9*abs(b)*e^7 - 117*B*a^2*b^17*d^8*abs(b)*e^8 + 837*A*a*b^18*d^8*abs(b)*e^8 + 1428*B*a^3*b^16*d^7*abs(b)*e^9 - 3348*A*a^2*b^17*d^7*abs(b)*e^9 - 4452*B*a^4*b^15*d^6*abs(b)*e^10 + 7812*A*a^3*b^16*d^6*abs(b)*e^10 + 7686*B*a^5*b^14*d^5*abs(b)*e^11 - 11718*A*a^4*b^15*d^5*abs(b)*e^11 - 8358*B*a^6*b^13*d^4*abs(b)*e^12 + 11718*A*a^5*b^14*d^4*abs(b)*e^12 + 5892*B*a^7*b^12*d^3*abs(b)*e^13 - 7812*A*a^6*b^13*d^3*abs(b)*e^13 - 2628*B*a^8*b^11*d^2*abs(b)*e^14 + 3348*A*a^7*b^12*d^2*abs(b)*e^14 + 677*B*a^9*b^10*d*abs(b)*e^15 - 837*A*a^8*b^11*d*abs(b)*e^15 - 77*B*a^10*b^9*abs(b)*e^16 + 93*A*a^9*b^10*abs(b)*e^16)*(b*x + a)/(b^18*d^14*e^3 - 14*a*b^17*d^13*e^4 + 91*a^2*b^16*d^12*e^5 - 364*a^3*b^15*d^11*e^6 + 1001*a^4*b^14*d^10*e^7 - 2002*a^5*b^13*d^9*e^8 + 3003*a^6*b^12*d^8*e^9 - 3432*a^7*b^11*d^7*e^10 + 3003*a^8*b^10*d^6*e^11 - 2002*a^9*b^9*d^5*e^12 + 1001*a^10*b^8*d^4*e^13 - 364*a^11*b^7*d^3*e^14 + 91*a^12*b^6*d^2*e^15 - 14*a^13*b^5*d*e^16 + a^14*b^4*e^17) + 28*(2*B*b^20*d^11*abs(b)*e^5 - 11*B*a*b^19*d^10*abs(b)*e^6 - 11*A*b^20*d^10*abs(b)*e^6 + 110*A*a*b^19*d^9*abs(b)*e^7 + 165*B*a^3*b^17*d^8*abs(b)*e^8 - 495*A*a^2*b^18*d^8*abs(b)*e^8 - 660*B*a^4*b^16*d^7*abs(b)*e^9 + 1320*A*a^3*b^17*d^7*abs(b)*e^9 + 1386*B*a^5*b^15*d^6*abs(b)*e^10 - 2310*A*a^4*b^16*d^6*abs(b)*e^10 - 1848*B*a^6*b^14*d^5*abs(b)*e^11 + 2772*A*a^5*b^15*d^5*abs(b)*e^11 + 1650*B*a^7*b^13*d^4*abs(b)*e^12 - 2310*A*a^6*b^14*d^4*abs(b)*e^12 - 990*B*a^8*b^12*d^3*abs(b)*e^13 + 1320*A*a^7*b^13*d^3*abs(b)*e^13 + 385*B*a^9*b^11*d^2*abs(b)*e^14 - 495*A*a^8*b^12*d^2*abs(b)*e^14 - 88*B*a^10*b^10*d*abs(b)*e^15 + 110*A*a^9*b^11*d*abs(b)*e^15 + 9*B*a^11*b^9*abs(b)*e^16 - 11*A*a^10*b^10*abs(b)*e^16)/(b^18*d^14*e^3 - 14*a*b^17*d^13*e^4 + 91*a^2*b^16*d^12*e^5 - 364*a^3*b^15*d^11*e^6 + 1001*a^4*b^14*d^10*e^7 - 2002*a^5*b^13*d^9*e^8 + 3003*a^6*b^12*d^8*e^9 - 3432*a^7*b^11*d^7*e^10 + 3003*a^8*b^10*d^6*e^11 - 2002*a^9*b^9*d^5*e^12 + 1001*a^10*b^8*d^4*e^13 - 364*a^11*b^7*d^3*e^14 + 91*a^12*b^6*d^2*e^15 - 14*a^13*b^5*d*e^16 + a^14*b^4*e^17)) + 70*(B*b^21*d^12*abs(b)*e^4 - 7*B*a*b^20*d^11*abs(b)*e^5 - 5*A*b^21*d^11*abs(b)*e^5 + 11*B*a^2*b^19*d^10*abs(b)*e^6 + 55*A*a*b^20*d^10*abs(b)*e^6 + 55*B*a^3*b^18*d^9*abs(b)*e^7 - 275*A*a^2*b^19*d^9*abs(b)*e^7 - 330*B*a^4*b^17*d^8*abs(b)*e^8 + 825*A*a^3*b^18*d^8*abs(b)*e^8 + 858*B*a^5*b^16*d^7*abs(b)*e^9 - 1650*A*a^4*b^17*d^7*abs(b)*e^9 - 1386*B*a^6*b^15*d^6*abs(b)*e^10 + 2310*A*a^5*b^16*d^6*abs(b)*e^10 + 1518*B*a^7*b^14*d^5*abs(b)*e^11 - 2310*A*a^6*b^15*d^5*abs(b)*e^11 - 1155*B*a^8*b^13*d^4*abs(b)*e^12 + 1650*A*a^7*b^14*d^4*abs(b)*e^12 + 605*B*a^9*b^12*d^3*abs(b)*e^13 - 825*A*a^8*b^13*d^3*abs(b)*e^13 - 209*B*a^10*b^11*d^2*abs(b)*e^14 + 275*A*a^9*b^12*d^2*abs(b)*e^14 + 43*B*a^11*b^10*d*abs(b)*e^15 - 55*A*a^10*b^11*d*abs(b)*e^15 - 4*B*a^12*b^9*abs(b)*e^16 + 5*A*a^11*b^10*abs(b)*e^16)/(b^18*d^14*e^3 - 14*a*b^17*d^13*e^4 + 91*a^2*b^16*d^12*e^5 - 364*a^3*b^15*d^11*e^6 + 1001*a^4*b^14*d^10*e^7 - 2002*a^5*b^13*d^9*e^8 + 3003*a^6*b^12*d^8*e^9 - 3432*a^7*b^11*d^7*e^10 + 3003*a^8*b^10*d^6*e^11 - 2002*a^9*b^9*d^5*e^12 + 1001*a^10*b^8*d^4*e^13 - 364*a^11*b^7*d^3*e^14 + 91*a^12*b^6*d^2*e^15 - 14*a^13*b^5*d*e^16 + a^14*b^4*e^17))*(b*x + a) + 35*(B*b^22*d^13*abs(b)*e^3 - 9*B*a*b^21*d^12*abs(b)*e^4 - 4*A*b^22*d^12*abs(b)*e^4 + 30*B*a^2*b^20*d^11*abs(b)*e^5 + 48*A*a*b^21*d^11*abs(b)*e^5 - 22*B*a^3*b^19*d^10*abs(b)*e^6 - 264*A*a^2*b^20*d^10*abs(b)*e^6 - 165*B*a^4*b^18*d^9*abs(b)*e^7 + 880*A*a^3*b^19*d^9*abs(b)*e^7 + 693*B*a^5*b^17*d^8*abs(b)*e^8 - 1980*A*a^4*b^18*d^8*abs(b)*e^8 - 1452*B*a^6*b^16*d^7*abs(b)*e^9 + 3168*A*a^5*b^17*d^7*abs(b)*e^9 + 1980*B*a^7*b^15*d^6*abs(b)*e^10 - 3696*A*a^6*b^16*d^6*abs(b)*e^10 - 1881*B*a^8*b^14*d^5*abs(b)*e^11 + 3168*A*a^7*b^15*d^5*abs(b)*e^11 + 1265*B*a^9*b^13*d^4*abs(b)*e^12 - 1980*A*a^8*b^14*d^4*abs(b)*e^12 - 594*B*a^10*b^12*d^3*abs(b)*e^13 + 880*A*a^9*b^13*d^3*abs(b)*e^13 + 186*B*a^11*b^11*d^2*abs(b)*e^14 - 264*A*a^10*b^12*d^2*abs(b)*e^14 - 35*B*a^12*b^10*d*abs(b)*e^15 + 48*A*a^11*b^11*d*abs(b)*e^15 + 3*B*a^13*b^9*abs(b)*e^16 - 4*A*a^12*b^10*abs(b)*e^16)/(b^18*d^14*e^3 - 14*a*b^17*d^13*e^4 + 91*a^2*b^16*d^12*e^5 - 364*a^3*b^15*d^11*e^6 + 1001*a^4*b^14*d^10*e^7 - 2002*a^5*b^13*d^9*e^8 + 3003*a^6*b^12*d^8*e^9 - 3432*a^7*b^11*d^7*e^10 + 3003*a^8*b^10*d^6*e^11 - 2002*a^9*b^9*d^5*e^12 + 1001*a^10*b^8*d^4*e^13 - 364*a^11*b^7*d^3*e^14 + 91*a^12*b^6*d^2*e^15 - 14*a^13*b^5*d*e^16 + a^14*b^4*e^17))*sqrt(b*x + a)/(b^2*d + (b*x + a)*b*e - a*b*e)^(7/2)","B",0
2253,1,1654,0,5.509927," ","integrate((B*x+A)*(e*x+d)^(7/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{1}{24} \, \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(2 \, {\left(b x + a\right)} {\left(\frac{4 \, {\left(b x + a\right)} B {\left| b \right|} e^{3}}{b^{7}} + \frac{{\left(19 \, B b^{21} d {\left| b \right|} e^{6} - 25 \, B a b^{20} {\left| b \right|} e^{7} + 6 \, A b^{21} {\left| b \right|} e^{7}\right)} e^{\left(-4\right)}}{b^{27}}\right)} + \frac{3 \, {\left(29 \, B b^{22} d^{2} {\left| b \right|} e^{5} - 84 \, B a b^{21} d {\left| b \right|} e^{6} + 26 \, A b^{22} d {\left| b \right|} e^{6} + 55 \, B a^{2} b^{20} {\left| b \right|} e^{7} - 26 \, A a b^{21} {\left| b \right|} e^{7}\right)} e^{\left(-4\right)}}{b^{27}}\right)} - \frac{35 \, {\left(B b^{\frac{7}{2}} d^{3} {\left| b \right|} e^{\frac{1}{2}} - 5 \, B a b^{\frac{5}{2}} d^{2} {\left| b \right|} e^{\frac{3}{2}} + 2 \, A b^{\frac{7}{2}} d^{2} {\left| b \right|} e^{\frac{3}{2}} + 7 \, B a^{2} b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{5}{2}} - 4 \, A a b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{5}{2}} - 3 \, B a^{3} \sqrt{b} {\left| b \right|} e^{\frac{7}{2}} + 2 \, A a^{2} b^{\frac{3}{2}} {\left| b \right|} e^{\frac{7}{2}}\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}{16 \, b^{7}} - \frac{4 \, {\left(3 \, B b^{\frac{17}{2}} d^{6} {\left| b \right|} e^{\frac{1}{2}} - 28 \, B a b^{\frac{15}{2}} d^{5} {\left| b \right|} e^{\frac{3}{2}} + 10 \, A b^{\frac{17}{2}} d^{5} {\left| b \right|} e^{\frac{3}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B b^{\frac{13}{2}} d^{5} {\left| b \right|} e^{\frac{1}{2}} + 95 \, B a^{2} b^{\frac{13}{2}} d^{4} {\left| b \right|} e^{\frac{5}{2}} - 50 \, A a b^{\frac{15}{2}} d^{4} {\left| b \right|} e^{\frac{5}{2}} + 48 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a b^{\frac{11}{2}} d^{4} {\left| b \right|} e^{\frac{3}{2}} - 18 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A b^{\frac{13}{2}} d^{4} {\left| b \right|} e^{\frac{3}{2}} + 3 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B b^{\frac{9}{2}} d^{4} {\left| b \right|} e^{\frac{1}{2}} - 160 \, B a^{3} b^{\frac{11}{2}} d^{3} {\left| b \right|} e^{\frac{7}{2}} + 100 \, A a^{2} b^{\frac{13}{2}} d^{3} {\left| b \right|} e^{\frac{7}{2}} - 132 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{2} b^{\frac{9}{2}} d^{3} {\left| b \right|} e^{\frac{5}{2}} + 72 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a b^{\frac{11}{2}} d^{3} {\left| b \right|} e^{\frac{5}{2}} - 24 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a b^{\frac{7}{2}} d^{3} {\left| b \right|} e^{\frac{3}{2}} + 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A b^{\frac{9}{2}} d^{3} {\left| b \right|} e^{\frac{3}{2}} + 145 \, B a^{4} b^{\frac{9}{2}} d^{2} {\left| b \right|} e^{\frac{9}{2}} - 100 \, A a^{3} b^{\frac{11}{2}} d^{2} {\left| b \right|} e^{\frac{9}{2}} + 168 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{3} b^{\frac{7}{2}} d^{2} {\left| b \right|} e^{\frac{7}{2}} - 108 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a^{2} b^{\frac{9}{2}} d^{2} {\left| b \right|} e^{\frac{7}{2}} + 54 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a^{2} b^{\frac{5}{2}} d^{2} {\left| b \right|} e^{\frac{5}{2}} - 36 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A a b^{\frac{7}{2}} d^{2} {\left| b \right|} e^{\frac{5}{2}} - 68 \, B a^{5} b^{\frac{7}{2}} d {\left| b \right|} e^{\frac{11}{2}} + 50 \, A a^{4} b^{\frac{9}{2}} d {\left| b \right|} e^{\frac{11}{2}} - 102 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{4} b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{9}{2}} + 72 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a^{3} b^{\frac{7}{2}} d {\left| b \right|} e^{\frac{9}{2}} - 48 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a^{3} b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{7}{2}} + 36 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A a^{2} b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{7}{2}} + 13 \, B a^{6} b^{\frac{5}{2}} {\left| b \right|} e^{\frac{13}{2}} - 10 \, A a^{5} b^{\frac{7}{2}} {\left| b \right|} e^{\frac{13}{2}} + 24 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{5} b^{\frac{3}{2}} {\left| b \right|} e^{\frac{11}{2}} - 18 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a^{4} b^{\frac{5}{2}} {\left| b \right|} e^{\frac{11}{2}} + 15 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a^{4} \sqrt{b} {\left| b \right|} e^{\frac{9}{2}} - 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A a^{3} b^{\frac{3}{2}} {\left| b \right|} e^{\frac{9}{2}}\right)}}{3 \, {\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}^{3} b^{6}}"," ",0,"1/24*sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*(4*(b*x + a)*B*abs(b)*e^3/b^7 + (19*B*b^21*d*abs(b)*e^6 - 25*B*a*b^20*abs(b)*e^7 + 6*A*b^21*abs(b)*e^7)*e^(-4)/b^27) + 3*(29*B*b^22*d^2*abs(b)*e^5 - 84*B*a*b^21*d*abs(b)*e^6 + 26*A*b^22*d*abs(b)*e^6 + 55*B*a^2*b^20*abs(b)*e^7 - 26*A*a*b^21*abs(b)*e^7)*e^(-4)/b^27) - 35/16*(B*b^(7/2)*d^3*abs(b)*e^(1/2) - 5*B*a*b^(5/2)*d^2*abs(b)*e^(3/2) + 2*A*b^(7/2)*d^2*abs(b)*e^(3/2) + 7*B*a^2*b^(3/2)*d*abs(b)*e^(5/2) - 4*A*a*b^(5/2)*d*abs(b)*e^(5/2) - 3*B*a^3*sqrt(b)*abs(b)*e^(7/2) + 2*A*a^2*b^(3/2)*abs(b)*e^(7/2))*log((sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)/b^7 - 4/3*(3*B*b^(17/2)*d^6*abs(b)*e^(1/2) - 28*B*a*b^(15/2)*d^5*abs(b)*e^(3/2) + 10*A*b^(17/2)*d^5*abs(b)*e^(3/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*b^(13/2)*d^5*abs(b)*e^(1/2) + 95*B*a^2*b^(13/2)*d^4*abs(b)*e^(5/2) - 50*A*a*b^(15/2)*d^4*abs(b)*e^(5/2) + 48*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a*b^(11/2)*d^4*abs(b)*e^(3/2) - 18*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*b^(13/2)*d^4*abs(b)*e^(3/2) + 3*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*b^(9/2)*d^4*abs(b)*e^(1/2) - 160*B*a^3*b^(11/2)*d^3*abs(b)*e^(7/2) + 100*A*a^2*b^(13/2)*d^3*abs(b)*e^(7/2) - 132*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^2*b^(9/2)*d^3*abs(b)*e^(5/2) + 72*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a*b^(11/2)*d^3*abs(b)*e^(5/2) - 24*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a*b^(7/2)*d^3*abs(b)*e^(3/2) + 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*b^(9/2)*d^3*abs(b)*e^(3/2) + 145*B*a^4*b^(9/2)*d^2*abs(b)*e^(9/2) - 100*A*a^3*b^(11/2)*d^2*abs(b)*e^(9/2) + 168*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^3*b^(7/2)*d^2*abs(b)*e^(7/2) - 108*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a^2*b^(9/2)*d^2*abs(b)*e^(7/2) + 54*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a^2*b^(5/2)*d^2*abs(b)*e^(5/2) - 36*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*a*b^(7/2)*d^2*abs(b)*e^(5/2) - 68*B*a^5*b^(7/2)*d*abs(b)*e^(11/2) + 50*A*a^4*b^(9/2)*d*abs(b)*e^(11/2) - 102*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^4*b^(5/2)*d*abs(b)*e^(9/2) + 72*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a^3*b^(7/2)*d*abs(b)*e^(9/2) - 48*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a^3*b^(3/2)*d*abs(b)*e^(7/2) + 36*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*a^2*b^(5/2)*d*abs(b)*e^(7/2) + 13*B*a^6*b^(5/2)*abs(b)*e^(13/2) - 10*A*a^5*b^(7/2)*abs(b)*e^(13/2) + 24*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^5*b^(3/2)*abs(b)*e^(11/2) - 18*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a^4*b^(5/2)*abs(b)*e^(11/2) + 15*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a^4*sqrt(b)*abs(b)*e^(9/2) - 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*a^3*b^(3/2)*abs(b)*e^(9/2))/((b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)^3*b^6)","B",0
2254,1,1287,0,3.918894," ","integrate((B*x+A)*(e*x+d)^(5/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} {\left(\frac{2 \, {\left(b x + a\right)} B {\left| b \right|} e^{2}}{b^{6}} + \frac{{\left(9 \, B b^{12} d {\left| b \right|} e^{3} - 13 \, B a b^{11} {\left| b \right|} e^{4} + 4 \, A b^{12} {\left| b \right|} e^{4}\right)} e^{\left(-2\right)}}{b^{17}}\right)} - \frac{5 \, {\left(3 \, B b^{\frac{5}{2}} d^{2} {\left| b \right|} e^{\frac{1}{2}} - 10 \, B a b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{3}{2}} + 4 \, A b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{3}{2}} + 7 \, B a^{2} \sqrt{b} {\left| b \right|} e^{\frac{5}{2}} - 4 \, A a b^{\frac{3}{2}} {\left| b \right|} e^{\frac{5}{2}}\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}{8 \, b^{6}} - \frac{4 \, {\left(3 \, B b^{\frac{15}{2}} d^{5} {\left| b \right|} e^{\frac{1}{2}} - 22 \, B a b^{\frac{13}{2}} d^{4} {\left| b \right|} e^{\frac{3}{2}} + 7 \, A b^{\frac{15}{2}} d^{4} {\left| b \right|} e^{\frac{3}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B b^{\frac{11}{2}} d^{4} {\left| b \right|} e^{\frac{1}{2}} + 58 \, B a^{2} b^{\frac{11}{2}} d^{3} {\left| b \right|} e^{\frac{5}{2}} - 28 \, A a b^{\frac{13}{2}} d^{3} {\left| b \right|} e^{\frac{5}{2}} + 36 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a b^{\frac{9}{2}} d^{3} {\left| b \right|} e^{\frac{3}{2}} - 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A b^{\frac{11}{2}} d^{3} {\left| b \right|} e^{\frac{3}{2}} + 3 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B b^{\frac{7}{2}} d^{3} {\left| b \right|} e^{\frac{1}{2}} - 72 \, B a^{3} b^{\frac{9}{2}} d^{2} {\left| b \right|} e^{\frac{7}{2}} + 42 \, A a^{2} b^{\frac{11}{2}} d^{2} {\left| b \right|} e^{\frac{7}{2}} - 72 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{2} b^{\frac{7}{2}} d^{2} {\left| b \right|} e^{\frac{5}{2}} + 36 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a b^{\frac{9}{2}} d^{2} {\left| b \right|} e^{\frac{5}{2}} - 18 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a b^{\frac{5}{2}} d^{2} {\left| b \right|} e^{\frac{3}{2}} + 9 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A b^{\frac{7}{2}} d^{2} {\left| b \right|} e^{\frac{3}{2}} + 43 \, B a^{4} b^{\frac{7}{2}} d {\left| b \right|} e^{\frac{9}{2}} - 28 \, A a^{3} b^{\frac{9}{2}} d {\left| b \right|} e^{\frac{9}{2}} + 60 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{3} b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{7}{2}} - 36 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a^{2} b^{\frac{7}{2}} d {\left| b \right|} e^{\frac{7}{2}} + 27 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a^{2} b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{5}{2}} - 18 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A a b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{5}{2}} - 10 \, B a^{5} b^{\frac{5}{2}} {\left| b \right|} e^{\frac{11}{2}} + 7 \, A a^{4} b^{\frac{7}{2}} {\left| b \right|} e^{\frac{11}{2}} - 18 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{4} b^{\frac{3}{2}} {\left| b \right|} e^{\frac{9}{2}} + 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a^{3} b^{\frac{5}{2}} {\left| b \right|} e^{\frac{9}{2}} - 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a^{3} \sqrt{b} {\left| b \right|} e^{\frac{7}{2}} + 9 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A a^{2} b^{\frac{3}{2}} {\left| b \right|} e^{\frac{7}{2}}\right)}}{3 \, {\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}^{3} b^{5}}"," ",0,"1/4*sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*(2*(b*x + a)*B*abs(b)*e^2/b^6 + (9*B*b^12*d*abs(b)*e^3 - 13*B*a*b^11*abs(b)*e^4 + 4*A*b^12*abs(b)*e^4)*e^(-2)/b^17) - 5/8*(3*B*b^(5/2)*d^2*abs(b)*e^(1/2) - 10*B*a*b^(3/2)*d*abs(b)*e^(3/2) + 4*A*b^(5/2)*d*abs(b)*e^(3/2) + 7*B*a^2*sqrt(b)*abs(b)*e^(5/2) - 4*A*a*b^(3/2)*abs(b)*e^(5/2))*log((sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)/b^6 - 4/3*(3*B*b^(15/2)*d^5*abs(b)*e^(1/2) - 22*B*a*b^(13/2)*d^4*abs(b)*e^(3/2) + 7*A*b^(15/2)*d^4*abs(b)*e^(3/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*b^(11/2)*d^4*abs(b)*e^(1/2) + 58*B*a^2*b^(11/2)*d^3*abs(b)*e^(5/2) - 28*A*a*b^(13/2)*d^3*abs(b)*e^(5/2) + 36*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a*b^(9/2)*d^3*abs(b)*e^(3/2) - 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*b^(11/2)*d^3*abs(b)*e^(3/2) + 3*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*b^(7/2)*d^3*abs(b)*e^(1/2) - 72*B*a^3*b^(9/2)*d^2*abs(b)*e^(7/2) + 42*A*a^2*b^(11/2)*d^2*abs(b)*e^(7/2) - 72*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^2*b^(7/2)*d^2*abs(b)*e^(5/2) + 36*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a*b^(9/2)*d^2*abs(b)*e^(5/2) - 18*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a*b^(5/2)*d^2*abs(b)*e^(3/2) + 9*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*b^(7/2)*d^2*abs(b)*e^(3/2) + 43*B*a^4*b^(7/2)*d*abs(b)*e^(9/2) - 28*A*a^3*b^(9/2)*d*abs(b)*e^(9/2) + 60*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^3*b^(5/2)*d*abs(b)*e^(7/2) - 36*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a^2*b^(7/2)*d*abs(b)*e^(7/2) + 27*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a^2*b^(3/2)*d*abs(b)*e^(5/2) - 18*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*a*b^(5/2)*d*abs(b)*e^(5/2) - 10*B*a^5*b^(5/2)*abs(b)*e^(11/2) + 7*A*a^4*b^(7/2)*abs(b)*e^(11/2) - 18*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^4*b^(3/2)*abs(b)*e^(9/2) + 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a^3*b^(5/2)*abs(b)*e^(9/2) - 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a^3*sqrt(b)*abs(b)*e^(7/2) + 9*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*a^2*b^(3/2)*abs(b)*e^(7/2))/((b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)^3*b^5)","B",0
2255,1,951,0,3.066813," ","integrate((B*x+A)*(e*x+d)^(3/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{\sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e} \sqrt{b x + a} B {\left| b \right|} e}{b^{5}} - \frac{{\left(3 \, B b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{1}{2}} - 5 \, B a \sqrt{b} {\left| b \right|} e^{\frac{3}{2}} + 2 \, A b^{\frac{3}{2}} {\left| b \right|} e^{\frac{3}{2}}\right)} \log\left({\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}{2 \, b^{5}} - \frac{4 \, {\left(3 \, B b^{\frac{13}{2}} d^{4} {\left| b \right|} e^{\frac{1}{2}} - 16 \, B a b^{\frac{11}{2}} d^{3} {\left| b \right|} e^{\frac{3}{2}} + 4 \, A b^{\frac{13}{2}} d^{3} {\left| b \right|} e^{\frac{3}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B b^{\frac{9}{2}} d^{3} {\left| b \right|} e^{\frac{1}{2}} + 30 \, B a^{2} b^{\frac{9}{2}} d^{2} {\left| b \right|} e^{\frac{5}{2}} - 12 \, A a b^{\frac{11}{2}} d^{2} {\left| b \right|} e^{\frac{5}{2}} + 24 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a b^{\frac{7}{2}} d^{2} {\left| b \right|} e^{\frac{3}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A b^{\frac{9}{2}} d^{2} {\left| b \right|} e^{\frac{3}{2}} + 3 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B b^{\frac{5}{2}} d^{2} {\left| b \right|} e^{\frac{1}{2}} - 24 \, B a^{3} b^{\frac{7}{2}} d {\left| b \right|} e^{\frac{7}{2}} + 12 \, A a^{2} b^{\frac{9}{2}} d {\left| b \right|} e^{\frac{7}{2}} - 30 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{2} b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{5}{2}} + 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a b^{\frac{7}{2}} d {\left| b \right|} e^{\frac{5}{2}} - 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{3}{2}} + 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{3}{2}} + 7 \, B a^{4} b^{\frac{5}{2}} {\left| b \right|} e^{\frac{9}{2}} - 4 \, A a^{3} b^{\frac{7}{2}} {\left| b \right|} e^{\frac{9}{2}} + 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{3} b^{\frac{3}{2}} {\left| b \right|} e^{\frac{7}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a^{2} b^{\frac{5}{2}} {\left| b \right|} e^{\frac{7}{2}} + 9 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a^{2} \sqrt{b} {\left| b \right|} e^{\frac{5}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A a b^{\frac{3}{2}} {\left| b \right|} e^{\frac{5}{2}}\right)}}{3 \, {\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}^{3} b^{4}}"," ",0,"sqrt(b^2*d + (b*x + a)*b*e - a*b*e)*sqrt(b*x + a)*B*abs(b)*e/b^5 - 1/2*(3*B*b^(3/2)*d*abs(b)*e^(1/2) - 5*B*a*sqrt(b)*abs(b)*e^(3/2) + 2*A*b^(3/2)*abs(b)*e^(3/2))*log((sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)/b^5 - 4/3*(3*B*b^(13/2)*d^4*abs(b)*e^(1/2) - 16*B*a*b^(11/2)*d^3*abs(b)*e^(3/2) + 4*A*b^(13/2)*d^3*abs(b)*e^(3/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*b^(9/2)*d^3*abs(b)*e^(1/2) + 30*B*a^2*b^(9/2)*d^2*abs(b)*e^(5/2) - 12*A*a*b^(11/2)*d^2*abs(b)*e^(5/2) + 24*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a*b^(7/2)*d^2*abs(b)*e^(3/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*b^(9/2)*d^2*abs(b)*e^(3/2) + 3*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*b^(5/2)*d^2*abs(b)*e^(1/2) - 24*B*a^3*b^(7/2)*d*abs(b)*e^(7/2) + 12*A*a^2*b^(9/2)*d*abs(b)*e^(7/2) - 30*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^2*b^(5/2)*d*abs(b)*e^(5/2) + 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a*b^(7/2)*d*abs(b)*e^(5/2) - 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a*b^(3/2)*d*abs(b)*e^(3/2) + 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*b^(5/2)*d*abs(b)*e^(3/2) + 7*B*a^4*b^(5/2)*abs(b)*e^(9/2) - 4*A*a^3*b^(7/2)*abs(b)*e^(9/2) + 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^3*b^(3/2)*abs(b)*e^(7/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a^2*b^(5/2)*abs(b)*e^(7/2) + 9*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a^2*sqrt(b)*abs(b)*e^(5/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*a*b^(3/2)*abs(b)*e^(5/2))/((b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)^3*b^4)","B",0
2256,1,522,0,1.813228," ","integrate((B*x+A)*(e*x+d)^(1/2)/(b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{B {\left| b \right|} e^{\frac{1}{2}} \log\left({\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}{b^{\frac{7}{2}}} - \frac{4 \, {\left(3 \, B b^{\frac{11}{2}} d^{3} {\left| b \right|} e^{\frac{1}{2}} - 10 \, B a b^{\frac{9}{2}} d^{2} {\left| b \right|} e^{\frac{3}{2}} + A b^{\frac{11}{2}} d^{2} {\left| b \right|} e^{\frac{3}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B b^{\frac{7}{2}} d^{2} {\left| b \right|} e^{\frac{1}{2}} + 11 \, B a^{2} b^{\frac{7}{2}} d {\left| b \right|} e^{\frac{5}{2}} - 2 \, A a b^{\frac{9}{2}} d {\left| b \right|} e^{\frac{5}{2}} + 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a b^{\frac{5}{2}} d {\left| b \right|} e^{\frac{3}{2}} + 3 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B b^{\frac{3}{2}} d {\left| b \right|} e^{\frac{1}{2}} - 4 \, B a^{3} b^{\frac{5}{2}} {\left| b \right|} e^{\frac{7}{2}} + A a^{2} b^{\frac{7}{2}} {\left| b \right|} e^{\frac{7}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{2} b^{\frac{3}{2}} {\left| b \right|} e^{\frac{5}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a \sqrt{b} {\left| b \right|} e^{\frac{3}{2}} + 3 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A b^{\frac{3}{2}} {\left| b \right|} e^{\frac{3}{2}}\right)}}{3 \, {\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}^{3} b^{3}}"," ",0,"-B*abs(b)*e^(1/2)*log((sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)/b^(7/2) - 4/3*(3*B*b^(11/2)*d^3*abs(b)*e^(1/2) - 10*B*a*b^(9/2)*d^2*abs(b)*e^(3/2) + A*b^(11/2)*d^2*abs(b)*e^(3/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*b^(7/2)*d^2*abs(b)*e^(1/2) + 11*B*a^2*b^(7/2)*d*abs(b)*e^(5/2) - 2*A*a*b^(9/2)*d*abs(b)*e^(5/2) + 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a*b^(5/2)*d*abs(b)*e^(3/2) + 3*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*b^(3/2)*d*abs(b)*e^(1/2) - 4*B*a^3*b^(5/2)*abs(b)*e^(7/2) + A*a^2*b^(7/2)*abs(b)*e^(7/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^2*b^(3/2)*abs(b)*e^(5/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a*sqrt(b)*abs(b)*e^(3/2) + 3*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*b^(3/2)*abs(b)*e^(3/2))/((b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)^3*b^3)","B",0
2257,1,261,0,1.408937," ","integrate((B*x+A)/(b*x+a)^(5/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","-\frac{4 \, {\left(3 \, B b^{\frac{9}{2}} d^{2} e^{\frac{1}{2}} - 4 \, B a b^{\frac{7}{2}} d e^{\frac{3}{2}} - 2 \, A b^{\frac{9}{2}} d e^{\frac{3}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B b^{\frac{5}{2}} d e^{\frac{1}{2}} + B a^{2} b^{\frac{5}{2}} e^{\frac{5}{2}} + 2 \, A a b^{\frac{7}{2}} e^{\frac{5}{2}} + 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A b^{\frac{5}{2}} e^{\frac{3}{2}} + 3 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B \sqrt{b} e^{\frac{1}{2}}\right)}}{3 \, {\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}^{3} {\left| b \right|}}"," ",0,"-4/3*(3*B*b^(9/2)*d^2*e^(1/2) - 4*B*a*b^(7/2)*d*e^(3/2) - 2*A*b^(9/2)*d*e^(3/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*b^(5/2)*d*e^(1/2) + B*a^2*b^(5/2)*e^(5/2) + 2*A*a*b^(7/2)*e^(5/2) + 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*b^(5/2)*e^(3/2) + 3*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*sqrt(b)*e^(1/2))/((b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)^3*abs(b))","B",0
2258,1,565,0,2.511065," ","integrate((B*x+A)/(b*x+a)^(5/2)/(e*x+d)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(B b^{2} d e - A b^{2} e^{2}\right)} \sqrt{b x + a}}{{\left(b^{3} d^{3} {\left| b \right|} - 3 \, a b^{2} d^{2} {\left| b \right|} e + 3 \, a^{2} b d {\left| b \right|} e^{2} - a^{3} {\left| b \right|} e^{3}\right)} \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}} - \frac{4 \, {\left(3 \, B b^{\frac{13}{2}} d^{3} e^{\frac{1}{2}} - 4 \, B a b^{\frac{11}{2}} d^{2} e^{\frac{3}{2}} - 5 \, A b^{\frac{13}{2}} d^{2} e^{\frac{3}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B b^{\frac{9}{2}} d^{2} e^{\frac{1}{2}} - B a^{2} b^{\frac{9}{2}} d e^{\frac{5}{2}} + 10 \, A a b^{\frac{11}{2}} d e^{\frac{5}{2}} + 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A b^{\frac{9}{2}} d e^{\frac{3}{2}} + 3 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B b^{\frac{5}{2}} d e^{\frac{1}{2}} + 2 \, B a^{3} b^{\frac{7}{2}} e^{\frac{7}{2}} - 5 \, A a^{2} b^{\frac{9}{2}} e^{\frac{7}{2}} + 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{2} b^{\frac{5}{2}} e^{\frac{5}{2}} - 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a b^{\frac{7}{2}} e^{\frac{5}{2}} - 3 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A b^{\frac{5}{2}} e^{\frac{3}{2}}\right)}}{3 \, {\left(b^{2} d^{2} {\left| b \right|} - 2 \, a b d {\left| b \right|} e + a^{2} {\left| b \right|} e^{2}\right)} {\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}^{3}}"," ",0,"-2*(B*b^2*d*e - A*b^2*e^2)*sqrt(b*x + a)/((b^3*d^3*abs(b) - 3*a*b^2*d^2*abs(b)*e + 3*a^2*b*d*abs(b)*e^2 - a^3*abs(b)*e^3)*sqrt(b^2*d + (b*x + a)*b*e - a*b*e)) - 4/3*(3*B*b^(13/2)*d^3*e^(1/2) - 4*B*a*b^(11/2)*d^2*e^(3/2) - 5*A*b^(13/2)*d^2*e^(3/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*b^(9/2)*d^2*e^(1/2) - B*a^2*b^(9/2)*d*e^(5/2) + 10*A*a*b^(11/2)*d*e^(5/2) + 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*b^(9/2)*d*e^(3/2) + 3*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*b^(5/2)*d*e^(1/2) + 2*B*a^3*b^(7/2)*e^(7/2) - 5*A*a^2*b^(9/2)*e^(7/2) + 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^2*b^(5/2)*e^(5/2) - 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a*b^(7/2)*e^(5/2) - 3*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*b^(5/2)*e^(3/2))/((b^2*d^2*abs(b) - 2*a*b*d*abs(b)*e + a^2*abs(b)*e^2)*(b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)^3)","B",0
2259,1,1102,0,4.264814," ","integrate((B*x+A)/(b*x+a)^(5/2)/(e*x+d)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b x + a} {\left(\frac{{\left(5 \, B b^{7} d^{4} {\left| b \right|} e^{3} - 12 \, B a b^{6} d^{3} {\left| b \right|} e^{4} - 8 \, A b^{7} d^{3} {\left| b \right|} e^{4} + 6 \, B a^{2} b^{5} d^{2} {\left| b \right|} e^{5} + 24 \, A a b^{6} d^{2} {\left| b \right|} e^{5} + 4 \, B a^{3} b^{4} d {\left| b \right|} e^{6} - 24 \, A a^{2} b^{5} d {\left| b \right|} e^{6} - 3 \, B a^{4} b^{3} {\left| b \right|} e^{7} + 8 \, A a^{3} b^{4} {\left| b \right|} e^{7}\right)} {\left(b x + a\right)}}{b^{9} d^{7} e - 7 \, a b^{8} d^{6} e^{2} + 21 \, a^{2} b^{7} d^{5} e^{3} - 35 \, a^{3} b^{6} d^{4} e^{4} + 35 \, a^{4} b^{5} d^{3} e^{5} - 21 \, a^{5} b^{4} d^{2} e^{6} + 7 \, a^{6} b^{3} d e^{7} - a^{7} b^{2} e^{8}} + \frac{3 \, {\left(2 \, B b^{8} d^{5} {\left| b \right|} e^{2} - 7 \, B a b^{7} d^{4} {\left| b \right|} e^{3} - 3 \, A b^{8} d^{4} {\left| b \right|} e^{3} + 8 \, B a^{2} b^{6} d^{3} {\left| b \right|} e^{4} + 12 \, A a b^{7} d^{3} {\left| b \right|} e^{4} - 2 \, B a^{3} b^{5} d^{2} {\left| b \right|} e^{5} - 18 \, A a^{2} b^{6} d^{2} {\left| b \right|} e^{5} - 2 \, B a^{4} b^{4} d {\left| b \right|} e^{6} + 12 \, A a^{3} b^{5} d {\left| b \right|} e^{6} + B a^{5} b^{3} {\left| b \right|} e^{7} - 3 \, A a^{4} b^{4} {\left| b \right|} e^{7}\right)}}{b^{9} d^{7} e - 7 \, a b^{8} d^{6} e^{2} + 21 \, a^{2} b^{7} d^{5} e^{3} - 35 \, a^{3} b^{6} d^{4} e^{4} + 35 \, a^{4} b^{5} d^{3} e^{5} - 21 \, a^{5} b^{4} d^{2} e^{6} + 7 \, a^{6} b^{3} d e^{7} - a^{7} b^{2} e^{8}}\right)}}{3 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{3}{2}}} - \frac{4 \, {\left(3 \, B b^{\frac{15}{2}} d^{3} e^{\frac{1}{2}} - B a b^{\frac{13}{2}} d^{2} e^{\frac{3}{2}} - 8 \, A b^{\frac{15}{2}} d^{2} e^{\frac{3}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B b^{\frac{11}{2}} d^{2} e^{\frac{1}{2}} - 7 \, B a^{2} b^{\frac{11}{2}} d e^{\frac{5}{2}} + 16 \, A a b^{\frac{13}{2}} d e^{\frac{5}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a b^{\frac{9}{2}} d e^{\frac{3}{2}} + 18 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A b^{\frac{11}{2}} d e^{\frac{3}{2}} + 3 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B b^{\frac{7}{2}} d e^{\frac{1}{2}} + 5 \, B a^{3} b^{\frac{9}{2}} e^{\frac{7}{2}} - 8 \, A a^{2} b^{\frac{11}{2}} e^{\frac{7}{2}} + 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{2} b^{\frac{7}{2}} e^{\frac{5}{2}} - 18 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a b^{\frac{9}{2}} e^{\frac{5}{2}} + 3 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a b^{\frac{5}{2}} e^{\frac{3}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A b^{\frac{7}{2}} e^{\frac{3}{2}}\right)}}{3 \, {\left(b^{3} d^{3} {\left| b \right|} - 3 \, a b^{2} d^{2} {\left| b \right|} e + 3 \, a^{2} b d {\left| b \right|} e^{2} - a^{3} {\left| b \right|} e^{3}\right)} {\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}^{3}}"," ",0,"-2/3*sqrt(b*x + a)*((5*B*b^7*d^4*abs(b)*e^3 - 12*B*a*b^6*d^3*abs(b)*e^4 - 8*A*b^7*d^3*abs(b)*e^4 + 6*B*a^2*b^5*d^2*abs(b)*e^5 + 24*A*a*b^6*d^2*abs(b)*e^5 + 4*B*a^3*b^4*d*abs(b)*e^6 - 24*A*a^2*b^5*d*abs(b)*e^6 - 3*B*a^4*b^3*abs(b)*e^7 + 8*A*a^3*b^4*abs(b)*e^7)*(b*x + a)/(b^9*d^7*e - 7*a*b^8*d^6*e^2 + 21*a^2*b^7*d^5*e^3 - 35*a^3*b^6*d^4*e^4 + 35*a^4*b^5*d^3*e^5 - 21*a^5*b^4*d^2*e^6 + 7*a^6*b^3*d*e^7 - a^7*b^2*e^8) + 3*(2*B*b^8*d^5*abs(b)*e^2 - 7*B*a*b^7*d^4*abs(b)*e^3 - 3*A*b^8*d^4*abs(b)*e^3 + 8*B*a^2*b^6*d^3*abs(b)*e^4 + 12*A*a*b^7*d^3*abs(b)*e^4 - 2*B*a^3*b^5*d^2*abs(b)*e^5 - 18*A*a^2*b^6*d^2*abs(b)*e^5 - 2*B*a^4*b^4*d*abs(b)*e^6 + 12*A*a^3*b^5*d*abs(b)*e^6 + B*a^5*b^3*abs(b)*e^7 - 3*A*a^4*b^4*abs(b)*e^7)/(b^9*d^7*e - 7*a*b^8*d^6*e^2 + 21*a^2*b^7*d^5*e^3 - 35*a^3*b^6*d^4*e^4 + 35*a^4*b^5*d^3*e^5 - 21*a^5*b^4*d^2*e^6 + 7*a^6*b^3*d*e^7 - a^7*b^2*e^8))/(b^2*d + (b*x + a)*b*e - a*b*e)^(3/2) - 4/3*(3*B*b^(15/2)*d^3*e^(1/2) - B*a*b^(13/2)*d^2*e^(3/2) - 8*A*b^(15/2)*d^2*e^(3/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*b^(11/2)*d^2*e^(1/2) - 7*B*a^2*b^(11/2)*d*e^(5/2) + 16*A*a*b^(13/2)*d*e^(5/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a*b^(9/2)*d*e^(3/2) + 18*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*b^(11/2)*d*e^(3/2) + 3*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*b^(7/2)*d*e^(1/2) + 5*B*a^3*b^(9/2)*e^(7/2) - 8*A*a^2*b^(11/2)*e^(7/2) + 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^2*b^(7/2)*e^(5/2) - 18*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a*b^(9/2)*e^(5/2) + 3*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a*b^(5/2)*e^(3/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*b^(7/2)*e^(3/2))/((b^3*d^3*abs(b) - 3*a*b^2*d^2*abs(b)*e + 3*a^2*b*d*abs(b)*e^2 - a^3*abs(b)*e^3)*(b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)^3)","B",0
2260,1,1936,0,9.046312," ","integrate((B*x+A)/(b*x+a)^(5/2)/(e*x+d)^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(b x + a\right)} {\left(\frac{{\left(33 \, B b^{15} d^{8} e^{5} - 191 \, B a b^{14} d^{7} e^{6} - 73 \, A b^{15} d^{7} e^{6} + 413 \, B a^{2} b^{13} d^{6} e^{7} + 511 \, A a b^{14} d^{6} e^{7} - 315 \, B a^{3} b^{12} d^{5} e^{8} - 1533 \, A a^{2} b^{13} d^{5} e^{8} - 245 \, B a^{4} b^{11} d^{4} e^{9} + 2555 \, A a^{3} b^{12} d^{4} e^{9} + 707 \, B a^{5} b^{10} d^{3} e^{10} - 2555 \, A a^{4} b^{11} d^{3} e^{10} - 609 \, B a^{6} b^{9} d^{2} e^{11} + 1533 \, A a^{5} b^{10} d^{2} e^{11} + 247 \, B a^{7} b^{8} d e^{12} - 511 \, A a^{6} b^{9} d e^{12} - 40 \, B a^{8} b^{7} e^{13} + 73 \, A a^{7} b^{8} e^{13}\right)} {\left(b x + a\right)}}{b^{14} d^{12} {\left| b \right|} e^{2} - 12 \, a b^{13} d^{11} {\left| b \right|} e^{3} + 66 \, a^{2} b^{12} d^{10} {\left| b \right|} e^{4} - 220 \, a^{3} b^{11} d^{9} {\left| b \right|} e^{5} + 495 \, a^{4} b^{10} d^{8} {\left| b \right|} e^{6} - 792 \, a^{5} b^{9} d^{7} {\left| b \right|} e^{7} + 924 \, a^{6} b^{8} d^{6} {\left| b \right|} e^{8} - 792 \, a^{7} b^{7} d^{5} {\left| b \right|} e^{9} + 495 \, a^{8} b^{6} d^{4} {\left| b \right|} e^{10} - 220 \, a^{9} b^{5} d^{3} {\left| b \right|} e^{11} + 66 \, a^{10} b^{4} d^{2} {\left| b \right|} e^{12} - 12 \, a^{11} b^{3} d {\left| b \right|} e^{13} + a^{12} b^{2} {\left| b \right|} e^{14}} + \frac{5 \, {\left(15 \, B b^{16} d^{9} e^{4} - 103 \, B a b^{15} d^{8} e^{5} - 32 \, A b^{16} d^{8} e^{5} + 284 \, B a^{2} b^{14} d^{7} e^{6} + 256 \, A a b^{15} d^{7} e^{6} - 364 \, B a^{3} b^{13} d^{6} e^{7} - 896 \, A a^{2} b^{14} d^{6} e^{7} + 98 \, B a^{4} b^{12} d^{5} e^{8} + 1792 \, A a^{3} b^{13} d^{5} e^{8} + 350 \, B a^{5} b^{11} d^{4} e^{9} - 2240 \, A a^{4} b^{12} d^{4} e^{9} - 532 \, B a^{6} b^{10} d^{3} e^{10} + 1792 \, A a^{5} b^{11} d^{3} e^{10} + 356 \, B a^{7} b^{9} d^{2} e^{11} - 896 \, A a^{6} b^{10} d^{2} e^{11} - 121 \, B a^{8} b^{8} d e^{12} + 256 \, A a^{7} b^{9} d e^{12} + 17 \, B a^{9} b^{7} e^{13} - 32 \, A a^{8} b^{8} e^{13}\right)}}{b^{14} d^{12} {\left| b \right|} e^{2} - 12 \, a b^{13} d^{11} {\left| b \right|} e^{3} + 66 \, a^{2} b^{12} d^{10} {\left| b \right|} e^{4} - 220 \, a^{3} b^{11} d^{9} {\left| b \right|} e^{5} + 495 \, a^{4} b^{10} d^{8} {\left| b \right|} e^{6} - 792 \, a^{5} b^{9} d^{7} {\left| b \right|} e^{7} + 924 \, a^{6} b^{8} d^{6} {\left| b \right|} e^{8} - 792 \, a^{7} b^{7} d^{5} {\left| b \right|} e^{9} + 495 \, a^{8} b^{6} d^{4} {\left| b \right|} e^{10} - 220 \, a^{9} b^{5} d^{3} {\left| b \right|} e^{11} + 66 \, a^{10} b^{4} d^{2} {\left| b \right|} e^{12} - 12 \, a^{11} b^{3} d {\left| b \right|} e^{13} + a^{12} b^{2} {\left| b \right|} e^{14}}\right)} + \frac{45 \, {\left(B b^{17} d^{10} e^{3} - 8 \, B a b^{16} d^{9} e^{4} - 2 \, A b^{17} d^{9} e^{4} + 27 \, B a^{2} b^{15} d^{8} e^{5} + 18 \, A a b^{16} d^{8} e^{5} - 48 \, B a^{3} b^{14} d^{7} e^{6} - 72 \, A a^{2} b^{15} d^{7} e^{6} + 42 \, B a^{4} b^{13} d^{6} e^{7} + 168 \, A a^{3} b^{14} d^{6} e^{7} - 252 \, A a^{4} b^{13} d^{5} e^{8} - 42 \, B a^{6} b^{11} d^{4} e^{9} + 252 \, A a^{5} b^{12} d^{4} e^{9} + 48 \, B a^{7} b^{10} d^{3} e^{10} - 168 \, A a^{6} b^{11} d^{3} e^{10} - 27 \, B a^{8} b^{9} d^{2} e^{11} + 72 \, A a^{7} b^{10} d^{2} e^{11} + 8 \, B a^{9} b^{8} d e^{12} - 18 \, A a^{8} b^{9} d e^{12} - B a^{10} b^{7} e^{13} + 2 \, A a^{9} b^{8} e^{13}\right)}}{b^{14} d^{12} {\left| b \right|} e^{2} - 12 \, a b^{13} d^{11} {\left| b \right|} e^{3} + 66 \, a^{2} b^{12} d^{10} {\left| b \right|} e^{4} - 220 \, a^{3} b^{11} d^{9} {\left| b \right|} e^{5} + 495 \, a^{4} b^{10} d^{8} {\left| b \right|} e^{6} - 792 \, a^{5} b^{9} d^{7} {\left| b \right|} e^{7} + 924 \, a^{6} b^{8} d^{6} {\left| b \right|} e^{8} - 792 \, a^{7} b^{7} d^{5} {\left| b \right|} e^{9} + 495 \, a^{8} b^{6} d^{4} {\left| b \right|} e^{10} - 220 \, a^{9} b^{5} d^{3} {\left| b \right|} e^{11} + 66 \, a^{10} b^{4} d^{2} {\left| b \right|} e^{12} - 12 \, a^{11} b^{3} d {\left| b \right|} e^{13} + a^{12} b^{2} {\left| b \right|} e^{14}}\right)} \sqrt{b x + a}}{15 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{5}{2}}} - \frac{4 \, {\left(3 \, B b^{\frac{17}{2}} d^{3} e^{\frac{1}{2}} + 2 \, B a b^{\frac{15}{2}} d^{2} e^{\frac{3}{2}} - 11 \, A b^{\frac{17}{2}} d^{2} e^{\frac{3}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B b^{\frac{13}{2}} d^{2} e^{\frac{1}{2}} - 13 \, B a^{2} b^{\frac{13}{2}} d e^{\frac{5}{2}} + 22 \, A a b^{\frac{15}{2}} d e^{\frac{5}{2}} - 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a b^{\frac{11}{2}} d e^{\frac{3}{2}} + 24 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A b^{\frac{13}{2}} d e^{\frac{3}{2}} + 3 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B b^{\frac{9}{2}} d e^{\frac{1}{2}} + 8 \, B a^{3} b^{\frac{11}{2}} e^{\frac{7}{2}} - 11 \, A a^{2} b^{\frac{13}{2}} e^{\frac{7}{2}} + 18 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{2} b^{\frac{9}{2}} e^{\frac{5}{2}} - 24 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a b^{\frac{11}{2}} e^{\frac{5}{2}} + 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a b^{\frac{7}{2}} e^{\frac{3}{2}} - 9 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A b^{\frac{9}{2}} e^{\frac{3}{2}}\right)}}{3 \, {\left(b^{4} d^{4} {\left| b \right|} - 4 \, a b^{3} d^{3} {\left| b \right|} e + 6 \, a^{2} b^{2} d^{2} {\left| b \right|} e^{2} - 4 \, a^{3} b d {\left| b \right|} e^{3} + a^{4} {\left| b \right|} e^{4}\right)} {\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}^{3}}"," ",0,"-2/15*((b*x + a)*((33*B*b^15*d^8*e^5 - 191*B*a*b^14*d^7*e^6 - 73*A*b^15*d^7*e^6 + 413*B*a^2*b^13*d^6*e^7 + 511*A*a*b^14*d^6*e^7 - 315*B*a^3*b^12*d^5*e^8 - 1533*A*a^2*b^13*d^5*e^8 - 245*B*a^4*b^11*d^4*e^9 + 2555*A*a^3*b^12*d^4*e^9 + 707*B*a^5*b^10*d^3*e^10 - 2555*A*a^4*b^11*d^3*e^10 - 609*B*a^6*b^9*d^2*e^11 + 1533*A*a^5*b^10*d^2*e^11 + 247*B*a^7*b^8*d*e^12 - 511*A*a^6*b^9*d*e^12 - 40*B*a^8*b^7*e^13 + 73*A*a^7*b^8*e^13)*(b*x + a)/(b^14*d^12*abs(b)*e^2 - 12*a*b^13*d^11*abs(b)*e^3 + 66*a^2*b^12*d^10*abs(b)*e^4 - 220*a^3*b^11*d^9*abs(b)*e^5 + 495*a^4*b^10*d^8*abs(b)*e^6 - 792*a^5*b^9*d^7*abs(b)*e^7 + 924*a^6*b^8*d^6*abs(b)*e^8 - 792*a^7*b^7*d^5*abs(b)*e^9 + 495*a^8*b^6*d^4*abs(b)*e^10 - 220*a^9*b^5*d^3*abs(b)*e^11 + 66*a^10*b^4*d^2*abs(b)*e^12 - 12*a^11*b^3*d*abs(b)*e^13 + a^12*b^2*abs(b)*e^14) + 5*(15*B*b^16*d^9*e^4 - 103*B*a*b^15*d^8*e^5 - 32*A*b^16*d^8*e^5 + 284*B*a^2*b^14*d^7*e^6 + 256*A*a*b^15*d^7*e^6 - 364*B*a^3*b^13*d^6*e^7 - 896*A*a^2*b^14*d^6*e^7 + 98*B*a^4*b^12*d^5*e^8 + 1792*A*a^3*b^13*d^5*e^8 + 350*B*a^5*b^11*d^4*e^9 - 2240*A*a^4*b^12*d^4*e^9 - 532*B*a^6*b^10*d^3*e^10 + 1792*A*a^5*b^11*d^3*e^10 + 356*B*a^7*b^9*d^2*e^11 - 896*A*a^6*b^10*d^2*e^11 - 121*B*a^8*b^8*d*e^12 + 256*A*a^7*b^9*d*e^12 + 17*B*a^9*b^7*e^13 - 32*A*a^8*b^8*e^13)/(b^14*d^12*abs(b)*e^2 - 12*a*b^13*d^11*abs(b)*e^3 + 66*a^2*b^12*d^10*abs(b)*e^4 - 220*a^3*b^11*d^9*abs(b)*e^5 + 495*a^4*b^10*d^8*abs(b)*e^6 - 792*a^5*b^9*d^7*abs(b)*e^7 + 924*a^6*b^8*d^6*abs(b)*e^8 - 792*a^7*b^7*d^5*abs(b)*e^9 + 495*a^8*b^6*d^4*abs(b)*e^10 - 220*a^9*b^5*d^3*abs(b)*e^11 + 66*a^10*b^4*d^2*abs(b)*e^12 - 12*a^11*b^3*d*abs(b)*e^13 + a^12*b^2*abs(b)*e^14)) + 45*(B*b^17*d^10*e^3 - 8*B*a*b^16*d^9*e^4 - 2*A*b^17*d^9*e^4 + 27*B*a^2*b^15*d^8*e^5 + 18*A*a*b^16*d^8*e^5 - 48*B*a^3*b^14*d^7*e^6 - 72*A*a^2*b^15*d^7*e^6 + 42*B*a^4*b^13*d^6*e^7 + 168*A*a^3*b^14*d^6*e^7 - 252*A*a^4*b^13*d^5*e^8 - 42*B*a^6*b^11*d^4*e^9 + 252*A*a^5*b^12*d^4*e^9 + 48*B*a^7*b^10*d^3*e^10 - 168*A*a^6*b^11*d^3*e^10 - 27*B*a^8*b^9*d^2*e^11 + 72*A*a^7*b^10*d^2*e^11 + 8*B*a^9*b^8*d*e^12 - 18*A*a^8*b^9*d*e^12 - B*a^10*b^7*e^13 + 2*A*a^9*b^8*e^13)/(b^14*d^12*abs(b)*e^2 - 12*a*b^13*d^11*abs(b)*e^3 + 66*a^2*b^12*d^10*abs(b)*e^4 - 220*a^3*b^11*d^9*abs(b)*e^5 + 495*a^4*b^10*d^8*abs(b)*e^6 - 792*a^5*b^9*d^7*abs(b)*e^7 + 924*a^6*b^8*d^6*abs(b)*e^8 - 792*a^7*b^7*d^5*abs(b)*e^9 + 495*a^8*b^6*d^4*abs(b)*e^10 - 220*a^9*b^5*d^3*abs(b)*e^11 + 66*a^10*b^4*d^2*abs(b)*e^12 - 12*a^11*b^3*d*abs(b)*e^13 + a^12*b^2*abs(b)*e^14))*sqrt(b*x + a)/(b^2*d + (b*x + a)*b*e - a*b*e)^(5/2) - 4/3*(3*B*b^(17/2)*d^3*e^(1/2) + 2*B*a*b^(15/2)*d^2*e^(3/2) - 11*A*b^(17/2)*d^2*e^(3/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*b^(13/2)*d^2*e^(1/2) - 13*B*a^2*b^(13/2)*d*e^(5/2) + 22*A*a*b^(15/2)*d*e^(5/2) - 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a*b^(11/2)*d*e^(3/2) + 24*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*b^(13/2)*d*e^(3/2) + 3*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*b^(9/2)*d*e^(1/2) + 8*B*a^3*b^(11/2)*e^(7/2) - 11*A*a^2*b^(13/2)*e^(7/2) + 18*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^2*b^(9/2)*e^(5/2) - 24*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a*b^(11/2)*e^(5/2) + 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a*b^(7/2)*e^(3/2) - 9*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*b^(9/2)*e^(3/2))/((b^4*d^4*abs(b) - 4*a*b^3*d^3*abs(b)*e + 6*a^2*b^2*d^2*abs(b)*e^2 - 4*a^3*b*d*abs(b)*e^3 + a^4*abs(b)*e^4)*(b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)^3)","B",0
2261,1,3473,0,21.226605," ","integrate((B*x+A)/(b*x+a)^(5/2)/(e*x+d)^(9/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left({\left(b x + a\right)} {\left(\frac{{\left(279 \, B b^{22} d^{13} {\left| b \right|} e^{7} - 2837 \, B a b^{21} d^{12} {\left| b \right|} e^{8} - 790 \, A b^{22} d^{12} {\left| b \right|} e^{8} + 12282 \, B a^{2} b^{20} d^{11} {\left| b \right|} e^{9} + 9480 \, A a b^{21} d^{11} {\left| b \right|} e^{9} - 27654 \, B a^{3} b^{19} d^{10} {\left| b \right|} e^{10} - 52140 \, A a^{2} b^{20} d^{10} {\left| b \right|} e^{10} + 25685 \, B a^{4} b^{18} d^{9} {\left| b \right|} e^{11} + 173800 \, A a^{3} b^{19} d^{9} {\left| b \right|} e^{11} + 31977 \, B a^{5} b^{17} d^{8} {\left| b \right|} e^{12} - 391050 \, A a^{4} b^{18} d^{8} {\left| b \right|} e^{12} - 146916 \, B a^{6} b^{16} d^{7} {\left| b \right|} e^{13} + 625680 \, A a^{5} b^{17} d^{7} {\left| b \right|} e^{13} + 251196 \, B a^{7} b^{15} d^{6} {\left| b \right|} e^{14} - 729960 \, A a^{6} b^{16} d^{6} {\left| b \right|} e^{14} - 266607 \, B a^{8} b^{14} d^{5} {\left| b \right|} e^{15} + 625680 \, A a^{7} b^{15} d^{5} {\left| b \right|} e^{15} + 191565 \, B a^{9} b^{13} d^{4} {\left| b \right|} e^{16} - 391050 \, A a^{8} b^{14} d^{4} {\left| b \right|} e^{16} - 94006 \, B a^{10} b^{12} d^{3} {\left| b \right|} e^{17} + 173800 \, A a^{9} b^{13} d^{3} {\left| b \right|} e^{17} + 30378 \, B a^{11} b^{11} d^{2} {\left| b \right|} e^{18} - 52140 \, A a^{10} b^{12} d^{2} {\left| b \right|} e^{18} - 5853 \, B a^{12} b^{10} d {\left| b \right|} e^{19} + 9480 \, A a^{11} b^{11} d {\left| b \right|} e^{19} + 511 \, B a^{13} b^{9} {\left| b \right|} e^{20} - 790 \, A a^{12} b^{10} {\left| b \right|} e^{20}\right)} {\left(b x + a\right)}}{b^{22} d^{18} e^{3} - 18 \, a b^{21} d^{17} e^{4} + 153 \, a^{2} b^{20} d^{16} e^{5} - 816 \, a^{3} b^{19} d^{15} e^{6} + 3060 \, a^{4} b^{18} d^{14} e^{7} - 8568 \, a^{5} b^{17} d^{13} e^{8} + 18564 \, a^{6} b^{16} d^{12} e^{9} - 31824 \, a^{7} b^{15} d^{11} e^{10} + 43758 \, a^{8} b^{14} d^{10} e^{11} - 48620 \, a^{9} b^{13} d^{9} e^{12} + 43758 \, a^{10} b^{12} d^{8} e^{13} - 31824 \, a^{11} b^{11} d^{7} e^{14} + 18564 \, a^{12} b^{10} d^{6} e^{15} - 8568 \, a^{13} b^{9} d^{5} e^{16} + 3060 \, a^{14} b^{8} d^{4} e^{17} - 816 \, a^{15} b^{7} d^{3} e^{18} + 153 \, a^{16} b^{6} d^{2} e^{19} - 18 \, a^{17} b^{5} d e^{20} + a^{18} b^{4} e^{21}} + \frac{7 \, {\left(132 \, B b^{23} d^{14} {\left| b \right|} e^{6} - 1483 \, B a b^{22} d^{13} {\left| b \right|} e^{7} - 365 \, A b^{23} d^{13} {\left| b \right|} e^{7} + 7267 \, B a^{2} b^{21} d^{12} {\left| b \right|} e^{8} + 4745 \, A a b^{22} d^{12} {\left| b \right|} e^{8} - 19578 \, B a^{3} b^{20} d^{11} {\left| b \right|} e^{9} - 28470 \, A a^{2} b^{21} d^{11} {\left| b \right|} e^{9} + 27742 \, B a^{4} b^{19} d^{10} {\left| b \right|} e^{10} + 104390 \, A a^{3} b^{20} d^{10} {\left| b \right|} e^{10} - 3289 \, B a^{5} b^{18} d^{9} {\left| b \right|} e^{11} - 260975 \, A a^{4} b^{19} d^{9} {\left| b \right|} e^{11} - 73359 \, B a^{6} b^{17} d^{8} {\left| b \right|} e^{12} + 469755 \, A a^{5} b^{18} d^{8} {\left| b \right|} e^{12} + 173316 \, B a^{7} b^{16} d^{7} {\left| b \right|} e^{13} - 626340 \, A a^{6} b^{17} d^{7} {\left| b \right|} e^{13} - 229944 \, B a^{8} b^{15} d^{6} {\left| b \right|} e^{14} + 626340 \, A a^{7} b^{16} d^{6} {\left| b \right|} e^{14} + 205491 \, B a^{9} b^{14} d^{5} {\left| b \right|} e^{15} - 469755 \, A a^{8} b^{15} d^{5} {\left| b \right|} e^{15} - 128843 \, B a^{10} b^{13} d^{4} {\left| b \right|} e^{16} + 260975 \, A a^{9} b^{14} d^{4} {\left| b \right|} e^{16} + 56342 \, B a^{11} b^{12} d^{3} {\left| b \right|} e^{17} - 104390 \, A a^{10} b^{13} d^{3} {\left| b \right|} e^{17} - 16458 \, B a^{12} b^{11} d^{2} {\left| b \right|} e^{18} + 28470 \, A a^{11} b^{12} d^{2} {\left| b \right|} e^{18} + 2897 \, B a^{13} b^{10} d {\left| b \right|} e^{19} - 4745 \, A a^{12} b^{11} d {\left| b \right|} e^{19} - 233 \, B a^{14} b^{9} {\left| b \right|} e^{20} + 365 \, A a^{13} b^{10} {\left| b \right|} e^{20}\right)}}{b^{22} d^{18} e^{3} - 18 \, a b^{21} d^{17} e^{4} + 153 \, a^{2} b^{20} d^{16} e^{5} - 816 \, a^{3} b^{19} d^{15} e^{6} + 3060 \, a^{4} b^{18} d^{14} e^{7} - 8568 \, a^{5} b^{17} d^{13} e^{8} + 18564 \, a^{6} b^{16} d^{12} e^{9} - 31824 \, a^{7} b^{15} d^{11} e^{10} + 43758 \, a^{8} b^{14} d^{10} e^{11} - 48620 \, a^{9} b^{13} d^{9} e^{12} + 43758 \, a^{10} b^{12} d^{8} e^{13} - 31824 \, a^{11} b^{11} d^{7} e^{14} + 18564 \, a^{12} b^{10} d^{6} e^{15} - 8568 \, a^{13} b^{9} d^{5} e^{16} + 3060 \, a^{14} b^{8} d^{4} e^{17} - 816 \, a^{15} b^{7} d^{3} e^{18} + 153 \, a^{16} b^{6} d^{2} e^{19} - 18 \, a^{17} b^{5} d e^{20} + a^{18} b^{4} e^{21}}\right)} + \frac{350 \, {\left(3 \, B b^{24} d^{15} {\left| b \right|} e^{5} - 37 \, B a b^{23} d^{14} {\left| b \right|} e^{6} - 8 \, A b^{24} d^{14} {\left| b \right|} e^{6} + 203 \, B a^{2} b^{22} d^{13} {\left| b \right|} e^{7} + 112 \, A a b^{23} d^{13} {\left| b \right|} e^{7} - 637 \, B a^{3} b^{21} d^{12} {\left| b \right|} e^{8} - 728 \, A a^{2} b^{22} d^{12} {\left| b \right|} e^{8} + 1183 \, B a^{4} b^{20} d^{11} {\left| b \right|} e^{9} + 2912 \, A a^{3} b^{21} d^{11} {\left| b \right|} e^{9} - 1001 \, B a^{5} b^{19} d^{10} {\left| b \right|} e^{10} - 8008 \, A a^{4} b^{20} d^{10} {\left| b \right|} e^{10} - 1001 \, B a^{6} b^{18} d^{9} {\left| b \right|} e^{11} + 16016 \, A a^{5} b^{19} d^{9} {\left| b \right|} e^{11} + 4719 \, B a^{7} b^{17} d^{8} {\left| b \right|} e^{12} - 24024 \, A a^{6} b^{18} d^{8} {\left| b \right|} e^{12} - 8151 \, B a^{8} b^{16} d^{7} {\left| b \right|} e^{13} + 27456 \, A a^{7} b^{17} d^{7} {\left| b \right|} e^{13} + 9009 \, B a^{9} b^{15} d^{6} {\left| b \right|} e^{14} - 24024 \, A a^{8} b^{16} d^{6} {\left| b \right|} e^{14} - 7007 \, B a^{10} b^{14} d^{5} {\left| b \right|} e^{15} + 16016 \, A a^{9} b^{15} d^{5} {\left| b \right|} e^{15} + 3913 \, B a^{11} b^{13} d^{4} {\left| b \right|} e^{16} - 8008 \, A a^{10} b^{14} d^{4} {\left| b \right|} e^{16} - 1547 \, B a^{12} b^{12} d^{3} {\left| b \right|} e^{17} + 2912 \, A a^{11} b^{13} d^{3} {\left| b \right|} e^{17} + 413 \, B a^{13} b^{11} d^{2} {\left| b \right|} e^{18} - 728 \, A a^{12} b^{12} d^{2} {\left| b \right|} e^{18} - 67 \, B a^{14} b^{10} d {\left| b \right|} e^{19} + 112 \, A a^{13} b^{11} d {\left| b \right|} e^{19} + 5 \, B a^{15} b^{9} {\left| b \right|} e^{20} - 8 \, A a^{14} b^{10} {\left| b \right|} e^{20}\right)}}{b^{22} d^{18} e^{3} - 18 \, a b^{21} d^{17} e^{4} + 153 \, a^{2} b^{20} d^{16} e^{5} - 816 \, a^{3} b^{19} d^{15} e^{6} + 3060 \, a^{4} b^{18} d^{14} e^{7} - 8568 \, a^{5} b^{17} d^{13} e^{8} + 18564 \, a^{6} b^{16} d^{12} e^{9} - 31824 \, a^{7} b^{15} d^{11} e^{10} + 43758 \, a^{8} b^{14} d^{10} e^{11} - 48620 \, a^{9} b^{13} d^{9} e^{12} + 43758 \, a^{10} b^{12} d^{8} e^{13} - 31824 \, a^{11} b^{11} d^{7} e^{14} + 18564 \, a^{12} b^{10} d^{6} e^{15} - 8568 \, a^{13} b^{9} d^{5} e^{16} + 3060 \, a^{14} b^{8} d^{4} e^{17} - 816 \, a^{15} b^{7} d^{3} e^{18} + 153 \, a^{16} b^{6} d^{2} e^{19} - 18 \, a^{17} b^{5} d e^{20} + a^{18} b^{4} e^{21}}\right)} {\left(b x + a\right)} + \frac{210 \, {\left(2 \, B b^{25} d^{16} {\left| b \right|} e^{4} - 27 \, B a b^{24} d^{15} {\left| b \right|} e^{5} - 5 \, A b^{25} d^{15} {\left| b \right|} e^{5} + 165 \, B a^{2} b^{23} d^{14} {\left| b \right|} e^{6} + 75 \, A a b^{24} d^{14} {\left| b \right|} e^{6} - 595 \, B a^{3} b^{22} d^{13} {\left| b \right|} e^{7} - 525 \, A a^{2} b^{23} d^{13} {\left| b \right|} e^{7} + 1365 \, B a^{4} b^{21} d^{12} {\left| b \right|} e^{8} + 2275 \, A a^{3} b^{22} d^{12} {\left| b \right|} e^{8} - 1911 \, B a^{5} b^{20} d^{11} {\left| b \right|} e^{9} - 6825 \, A a^{4} b^{21} d^{11} {\left| b \right|} e^{9} + 1001 \, B a^{6} b^{19} d^{10} {\left| b \right|} e^{10} + 15015 \, A a^{5} b^{20} d^{10} {\left| b \right|} e^{10} + 2145 \, B a^{7} b^{18} d^{9} {\left| b \right|} e^{11} - 25025 \, A a^{6} b^{19} d^{9} {\left| b \right|} e^{11} - 6435 \, B a^{8} b^{17} d^{8} {\left| b \right|} e^{12} + 32175 \, A a^{7} b^{18} d^{8} {\left| b \right|} e^{12} + 9295 \, B a^{9} b^{16} d^{7} {\left| b \right|} e^{13} - 32175 \, A a^{8} b^{17} d^{7} {\left| b \right|} e^{13} - 9009 \, B a^{10} b^{15} d^{6} {\left| b \right|} e^{14} + 25025 \, A a^{9} b^{16} d^{6} {\left| b \right|} e^{14} + 6279 \, B a^{11} b^{14} d^{5} {\left| b \right|} e^{15} - 15015 \, A a^{10} b^{15} d^{5} {\left| b \right|} e^{15} - 3185 \, B a^{12} b^{13} d^{4} {\left| b \right|} e^{16} + 6825 \, A a^{11} b^{14} d^{4} {\left| b \right|} e^{16} + 1155 \, B a^{13} b^{12} d^{3} {\left| b \right|} e^{17} - 2275 \, A a^{12} b^{13} d^{3} {\left| b \right|} e^{17} - 285 \, B a^{14} b^{11} d^{2} {\left| b \right|} e^{18} + 525 \, A a^{13} b^{12} d^{2} {\left| b \right|} e^{18} + 43 \, B a^{15} b^{10} d {\left| b \right|} e^{19} - 75 \, A a^{14} b^{11} d {\left| b \right|} e^{19} - 3 \, B a^{16} b^{9} {\left| b \right|} e^{20} + 5 \, A a^{15} b^{10} {\left| b \right|} e^{20}\right)}}{b^{22} d^{18} e^{3} - 18 \, a b^{21} d^{17} e^{4} + 153 \, a^{2} b^{20} d^{16} e^{5} - 816 \, a^{3} b^{19} d^{15} e^{6} + 3060 \, a^{4} b^{18} d^{14} e^{7} - 8568 \, a^{5} b^{17} d^{13} e^{8} + 18564 \, a^{6} b^{16} d^{12} e^{9} - 31824 \, a^{7} b^{15} d^{11} e^{10} + 43758 \, a^{8} b^{14} d^{10} e^{11} - 48620 \, a^{9} b^{13} d^{9} e^{12} + 43758 \, a^{10} b^{12} d^{8} e^{13} - 31824 \, a^{11} b^{11} d^{7} e^{14} + 18564 \, a^{12} b^{10} d^{6} e^{15} - 8568 \, a^{13} b^{9} d^{5} e^{16} + 3060 \, a^{14} b^{8} d^{4} e^{17} - 816 \, a^{15} b^{7} d^{3} e^{18} + 153 \, a^{16} b^{6} d^{2} e^{19} - 18 \, a^{17} b^{5} d e^{20} + a^{18} b^{4} e^{21}}\right)} \sqrt{b x + a}}{105 \, {\left(b^{2} d + {\left(b x + a\right)} b e - a b e\right)}^{\frac{7}{2}}} - \frac{4 \, {\left(3 \, B b^{\frac{19}{2}} d^{3} e^{\frac{1}{2}} + 5 \, B a b^{\frac{17}{2}} d^{2} e^{\frac{3}{2}} - 14 \, A b^{\frac{19}{2}} d^{2} e^{\frac{3}{2}} - 6 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B b^{\frac{15}{2}} d^{2} e^{\frac{1}{2}} - 19 \, B a^{2} b^{\frac{15}{2}} d e^{\frac{5}{2}} + 28 \, A a b^{\frac{17}{2}} d e^{\frac{5}{2}} - 18 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a b^{\frac{13}{2}} d e^{\frac{3}{2}} + 30 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A b^{\frac{15}{2}} d e^{\frac{3}{2}} + 3 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B b^{\frac{11}{2}} d e^{\frac{1}{2}} + 11 \, B a^{3} b^{\frac{13}{2}} e^{\frac{7}{2}} - 14 \, A a^{2} b^{\frac{15}{2}} e^{\frac{7}{2}} + 24 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} B a^{2} b^{\frac{11}{2}} e^{\frac{5}{2}} - 30 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2} A a b^{\frac{13}{2}} e^{\frac{5}{2}} + 9 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} B a b^{\frac{9}{2}} e^{\frac{3}{2}} - 12 \, {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{4} A b^{\frac{11}{2}} e^{\frac{3}{2}}\right)}}{3 \, {\left(b^{5} d^{5} {\left| b \right|} - 5 \, a b^{4} d^{4} {\left| b \right|} e + 10 \, a^{2} b^{3} d^{3} {\left| b \right|} e^{2} - 10 \, a^{3} b^{2} d^{2} {\left| b \right|} e^{3} + 5 \, a^{4} b d {\left| b \right|} e^{4} - a^{5} {\left| b \right|} e^{5}\right)} {\left(b^{2} d - a b e - {\left(\sqrt{b x + a} \sqrt{b} e^{\frac{1}{2}} - \sqrt{b^{2} d + {\left(b x + a\right)} b e - a b e}\right)}^{2}\right)}^{3}}"," ",0,"-2/105*(((b*x + a)*((279*B*b^22*d^13*abs(b)*e^7 - 2837*B*a*b^21*d^12*abs(b)*e^8 - 790*A*b^22*d^12*abs(b)*e^8 + 12282*B*a^2*b^20*d^11*abs(b)*e^9 + 9480*A*a*b^21*d^11*abs(b)*e^9 - 27654*B*a^3*b^19*d^10*abs(b)*e^10 - 52140*A*a^2*b^20*d^10*abs(b)*e^10 + 25685*B*a^4*b^18*d^9*abs(b)*e^11 + 173800*A*a^3*b^19*d^9*abs(b)*e^11 + 31977*B*a^5*b^17*d^8*abs(b)*e^12 - 391050*A*a^4*b^18*d^8*abs(b)*e^12 - 146916*B*a^6*b^16*d^7*abs(b)*e^13 + 625680*A*a^5*b^17*d^7*abs(b)*e^13 + 251196*B*a^7*b^15*d^6*abs(b)*e^14 - 729960*A*a^6*b^16*d^6*abs(b)*e^14 - 266607*B*a^8*b^14*d^5*abs(b)*e^15 + 625680*A*a^7*b^15*d^5*abs(b)*e^15 + 191565*B*a^9*b^13*d^4*abs(b)*e^16 - 391050*A*a^8*b^14*d^4*abs(b)*e^16 - 94006*B*a^10*b^12*d^3*abs(b)*e^17 + 173800*A*a^9*b^13*d^3*abs(b)*e^17 + 30378*B*a^11*b^11*d^2*abs(b)*e^18 - 52140*A*a^10*b^12*d^2*abs(b)*e^18 - 5853*B*a^12*b^10*d*abs(b)*e^19 + 9480*A*a^11*b^11*d*abs(b)*e^19 + 511*B*a^13*b^9*abs(b)*e^20 - 790*A*a^12*b^10*abs(b)*e^20)*(b*x + a)/(b^22*d^18*e^3 - 18*a*b^21*d^17*e^4 + 153*a^2*b^20*d^16*e^5 - 816*a^3*b^19*d^15*e^6 + 3060*a^4*b^18*d^14*e^7 - 8568*a^5*b^17*d^13*e^8 + 18564*a^6*b^16*d^12*e^9 - 31824*a^7*b^15*d^11*e^10 + 43758*a^8*b^14*d^10*e^11 - 48620*a^9*b^13*d^9*e^12 + 43758*a^10*b^12*d^8*e^13 - 31824*a^11*b^11*d^7*e^14 + 18564*a^12*b^10*d^6*e^15 - 8568*a^13*b^9*d^5*e^16 + 3060*a^14*b^8*d^4*e^17 - 816*a^15*b^7*d^3*e^18 + 153*a^16*b^6*d^2*e^19 - 18*a^17*b^5*d*e^20 + a^18*b^4*e^21) + 7*(132*B*b^23*d^14*abs(b)*e^6 - 1483*B*a*b^22*d^13*abs(b)*e^7 - 365*A*b^23*d^13*abs(b)*e^7 + 7267*B*a^2*b^21*d^12*abs(b)*e^8 + 4745*A*a*b^22*d^12*abs(b)*e^8 - 19578*B*a^3*b^20*d^11*abs(b)*e^9 - 28470*A*a^2*b^21*d^11*abs(b)*e^9 + 27742*B*a^4*b^19*d^10*abs(b)*e^10 + 104390*A*a^3*b^20*d^10*abs(b)*e^10 - 3289*B*a^5*b^18*d^9*abs(b)*e^11 - 260975*A*a^4*b^19*d^9*abs(b)*e^11 - 73359*B*a^6*b^17*d^8*abs(b)*e^12 + 469755*A*a^5*b^18*d^8*abs(b)*e^12 + 173316*B*a^7*b^16*d^7*abs(b)*e^13 - 626340*A*a^6*b^17*d^7*abs(b)*e^13 - 229944*B*a^8*b^15*d^6*abs(b)*e^14 + 626340*A*a^7*b^16*d^6*abs(b)*e^14 + 205491*B*a^9*b^14*d^5*abs(b)*e^15 - 469755*A*a^8*b^15*d^5*abs(b)*e^15 - 128843*B*a^10*b^13*d^4*abs(b)*e^16 + 260975*A*a^9*b^14*d^4*abs(b)*e^16 + 56342*B*a^11*b^12*d^3*abs(b)*e^17 - 104390*A*a^10*b^13*d^3*abs(b)*e^17 - 16458*B*a^12*b^11*d^2*abs(b)*e^18 + 28470*A*a^11*b^12*d^2*abs(b)*e^18 + 2897*B*a^13*b^10*d*abs(b)*e^19 - 4745*A*a^12*b^11*d*abs(b)*e^19 - 233*B*a^14*b^9*abs(b)*e^20 + 365*A*a^13*b^10*abs(b)*e^20)/(b^22*d^18*e^3 - 18*a*b^21*d^17*e^4 + 153*a^2*b^20*d^16*e^5 - 816*a^3*b^19*d^15*e^6 + 3060*a^4*b^18*d^14*e^7 - 8568*a^5*b^17*d^13*e^8 + 18564*a^6*b^16*d^12*e^9 - 31824*a^7*b^15*d^11*e^10 + 43758*a^8*b^14*d^10*e^11 - 48620*a^9*b^13*d^9*e^12 + 43758*a^10*b^12*d^8*e^13 - 31824*a^11*b^11*d^7*e^14 + 18564*a^12*b^10*d^6*e^15 - 8568*a^13*b^9*d^5*e^16 + 3060*a^14*b^8*d^4*e^17 - 816*a^15*b^7*d^3*e^18 + 153*a^16*b^6*d^2*e^19 - 18*a^17*b^5*d*e^20 + a^18*b^4*e^21)) + 350*(3*B*b^24*d^15*abs(b)*e^5 - 37*B*a*b^23*d^14*abs(b)*e^6 - 8*A*b^24*d^14*abs(b)*e^6 + 203*B*a^2*b^22*d^13*abs(b)*e^7 + 112*A*a*b^23*d^13*abs(b)*e^7 - 637*B*a^3*b^21*d^12*abs(b)*e^8 - 728*A*a^2*b^22*d^12*abs(b)*e^8 + 1183*B*a^4*b^20*d^11*abs(b)*e^9 + 2912*A*a^3*b^21*d^11*abs(b)*e^9 - 1001*B*a^5*b^19*d^10*abs(b)*e^10 - 8008*A*a^4*b^20*d^10*abs(b)*e^10 - 1001*B*a^6*b^18*d^9*abs(b)*e^11 + 16016*A*a^5*b^19*d^9*abs(b)*e^11 + 4719*B*a^7*b^17*d^8*abs(b)*e^12 - 24024*A*a^6*b^18*d^8*abs(b)*e^12 - 8151*B*a^8*b^16*d^7*abs(b)*e^13 + 27456*A*a^7*b^17*d^7*abs(b)*e^13 + 9009*B*a^9*b^15*d^6*abs(b)*e^14 - 24024*A*a^8*b^16*d^6*abs(b)*e^14 - 7007*B*a^10*b^14*d^5*abs(b)*e^15 + 16016*A*a^9*b^15*d^5*abs(b)*e^15 + 3913*B*a^11*b^13*d^4*abs(b)*e^16 - 8008*A*a^10*b^14*d^4*abs(b)*e^16 - 1547*B*a^12*b^12*d^3*abs(b)*e^17 + 2912*A*a^11*b^13*d^3*abs(b)*e^17 + 413*B*a^13*b^11*d^2*abs(b)*e^18 - 728*A*a^12*b^12*d^2*abs(b)*e^18 - 67*B*a^14*b^10*d*abs(b)*e^19 + 112*A*a^13*b^11*d*abs(b)*e^19 + 5*B*a^15*b^9*abs(b)*e^20 - 8*A*a^14*b^10*abs(b)*e^20)/(b^22*d^18*e^3 - 18*a*b^21*d^17*e^4 + 153*a^2*b^20*d^16*e^5 - 816*a^3*b^19*d^15*e^6 + 3060*a^4*b^18*d^14*e^7 - 8568*a^5*b^17*d^13*e^8 + 18564*a^6*b^16*d^12*e^9 - 31824*a^7*b^15*d^11*e^10 + 43758*a^8*b^14*d^10*e^11 - 48620*a^9*b^13*d^9*e^12 + 43758*a^10*b^12*d^8*e^13 - 31824*a^11*b^11*d^7*e^14 + 18564*a^12*b^10*d^6*e^15 - 8568*a^13*b^9*d^5*e^16 + 3060*a^14*b^8*d^4*e^17 - 816*a^15*b^7*d^3*e^18 + 153*a^16*b^6*d^2*e^19 - 18*a^17*b^5*d*e^20 + a^18*b^4*e^21))*(b*x + a) + 210*(2*B*b^25*d^16*abs(b)*e^4 - 27*B*a*b^24*d^15*abs(b)*e^5 - 5*A*b^25*d^15*abs(b)*e^5 + 165*B*a^2*b^23*d^14*abs(b)*e^6 + 75*A*a*b^24*d^14*abs(b)*e^6 - 595*B*a^3*b^22*d^13*abs(b)*e^7 - 525*A*a^2*b^23*d^13*abs(b)*e^7 + 1365*B*a^4*b^21*d^12*abs(b)*e^8 + 2275*A*a^3*b^22*d^12*abs(b)*e^8 - 1911*B*a^5*b^20*d^11*abs(b)*e^9 - 6825*A*a^4*b^21*d^11*abs(b)*e^9 + 1001*B*a^6*b^19*d^10*abs(b)*e^10 + 15015*A*a^5*b^20*d^10*abs(b)*e^10 + 2145*B*a^7*b^18*d^9*abs(b)*e^11 - 25025*A*a^6*b^19*d^9*abs(b)*e^11 - 6435*B*a^8*b^17*d^8*abs(b)*e^12 + 32175*A*a^7*b^18*d^8*abs(b)*e^12 + 9295*B*a^9*b^16*d^7*abs(b)*e^13 - 32175*A*a^8*b^17*d^7*abs(b)*e^13 - 9009*B*a^10*b^15*d^6*abs(b)*e^14 + 25025*A*a^9*b^16*d^6*abs(b)*e^14 + 6279*B*a^11*b^14*d^5*abs(b)*e^15 - 15015*A*a^10*b^15*d^5*abs(b)*e^15 - 3185*B*a^12*b^13*d^4*abs(b)*e^16 + 6825*A*a^11*b^14*d^4*abs(b)*e^16 + 1155*B*a^13*b^12*d^3*abs(b)*e^17 - 2275*A*a^12*b^13*d^3*abs(b)*e^17 - 285*B*a^14*b^11*d^2*abs(b)*e^18 + 525*A*a^13*b^12*d^2*abs(b)*e^18 + 43*B*a^15*b^10*d*abs(b)*e^19 - 75*A*a^14*b^11*d*abs(b)*e^19 - 3*B*a^16*b^9*abs(b)*e^20 + 5*A*a^15*b^10*abs(b)*e^20)/(b^22*d^18*e^3 - 18*a*b^21*d^17*e^4 + 153*a^2*b^20*d^16*e^5 - 816*a^3*b^19*d^15*e^6 + 3060*a^4*b^18*d^14*e^7 - 8568*a^5*b^17*d^13*e^8 + 18564*a^6*b^16*d^12*e^9 - 31824*a^7*b^15*d^11*e^10 + 43758*a^8*b^14*d^10*e^11 - 48620*a^9*b^13*d^9*e^12 + 43758*a^10*b^12*d^8*e^13 - 31824*a^11*b^11*d^7*e^14 + 18564*a^12*b^10*d^6*e^15 - 8568*a^13*b^9*d^5*e^16 + 3060*a^14*b^8*d^4*e^17 - 816*a^15*b^7*d^3*e^18 + 153*a^16*b^6*d^2*e^19 - 18*a^17*b^5*d*e^20 + a^18*b^4*e^21))*sqrt(b*x + a)/(b^2*d + (b*x + a)*b*e - a*b*e)^(7/2) - 4/3*(3*B*b^(19/2)*d^3*e^(1/2) + 5*B*a*b^(17/2)*d^2*e^(3/2) - 14*A*b^(19/2)*d^2*e^(3/2) - 6*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*b^(15/2)*d^2*e^(1/2) - 19*B*a^2*b^(15/2)*d*e^(5/2) + 28*A*a*b^(17/2)*d*e^(5/2) - 18*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a*b^(13/2)*d*e^(3/2) + 30*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*b^(15/2)*d*e^(3/2) + 3*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*b^(11/2)*d*e^(1/2) + 11*B*a^3*b^(13/2)*e^(7/2) - 14*A*a^2*b^(15/2)*e^(7/2) + 24*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*B*a^2*b^(11/2)*e^(5/2) - 30*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2*A*a*b^(13/2)*e^(5/2) + 9*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*B*a*b^(9/2)*e^(3/2) - 12*(sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^4*A*b^(11/2)*e^(3/2))/((b^5*d^5*abs(b) - 5*a*b^4*d^4*abs(b)*e + 10*a^2*b^3*d^3*abs(b)*e^2 - 10*a^3*b^2*d^2*abs(b)*e^3 + 5*a^4*b*d*abs(b)*e^4 - a^5*abs(b)*e^5)*(b^2*d - a*b*e - (sqrt(b*x + a)*sqrt(b)*e^(1/2) - sqrt(b^2*d + (b*x + a)*b*e - a*b*e))^2)^3)","B",0
2262,1,356,0,1.321085," ","integrate((2+3*x)^4*(1-2*x)^(1/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{27}{2560000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{441}{320000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{50000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{47}{5000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{23}{125} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{24}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"27/2560000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 441/320000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/50000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 47/5000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 23/125*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 24/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2263,1,275,0,1.103661," ","integrate((2+3*x)^3*(1-2*x)^(1/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{9}{64000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{117}{3200000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{57}{20000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{37}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{12}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"9/64000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 117/3200000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 57/20000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 37/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 12/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2264,1,203,0,0.995544," ","integrate((2+3*x)^2*(1-2*x)^(1/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{3}{640000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{29}{40000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{7}{250} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{6}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"3/640000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 29/40000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 7/250*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 6/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2265,1,140,0,1.123924," ","integrate((2+3*x)*(1-2*x)^(1/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{8000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{19}{2000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{3}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/8000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 19/2000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 3/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2266,1,86,0,1.046067," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{400} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{3}{50} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/400*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 3/50*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","A",0
2267,1,160,0,1.230071," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2)/(2+3*x),x, algorithm=""giac"")","-\frac{1}{90} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{37}{180} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{15} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}"," ",0,"-1/90*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 37/180*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/15*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)","B",0
2268,1,260,0,1.392306," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{37}{1260} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{9} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{22 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{3 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"37/1260*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/9*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 22/3*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2269,1,250,0,1.514850," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{121}{3920} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{121 \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{280 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{1120 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{14 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"121/3920*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 121/14*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 280*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 1120*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2270,1,310,0,1.691623," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{4477}{54880} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{121 \, \sqrt{10} {\left(37 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 24640 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{2900800 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{11603200 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{196 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"4477/54880*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 121/196*sqrt(10)*(37*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 24640*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 2900800*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 11603200*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2271,1,368,0,2.339367," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{158873}{614656} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{605 \, \sqrt{10} {\left(1313 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 1578920 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 374767680 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{28822976000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{115291904000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{10976 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"158873/614656*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 605/10976*sqrt(10)*(1313*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 1578920*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 374767680*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 28822976000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 115291904000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2272,1,426,0,2.766799," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2)/(2+3*x)^6,x, algorithm=""giac"")","\frac{5591773}{6146560} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{121 \, \sqrt{10} {\left(46213 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 85961680 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 30665564160 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 4732042112000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{284050977280000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{1136203909120000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{21952 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"5591773/6146560*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 121/21952*sqrt(10)*(46213*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 85961680*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 30665564160*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 4732042112000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 284050977280000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 1136203909120000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2273,1,484,0,3.281872," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2)/(2+3*x)^7,x, algorithm=""giac"")","\frac{588912203}{172103680} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{121 \, \sqrt{10} {\left(4867043 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} - 12766158440 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 6076175020160 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 1409555377484800 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 169516778170880000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{8376360110182400000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{33505440440729600000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{614656 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{6}}"," ",0,"588912203/172103680*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 121/614656*sqrt(10)*(4867043*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 - 12766158440*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 6076175020160*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 1409555377484800*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 169516778170880000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 8376360110182400000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 33505440440729600000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^6","B",0
2274,1,446,0,1.498032," ","integrate((2+3*x)^4*(3+5*x)^(3/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{27}{71680000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{261}{1280000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{4203}{320000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{451}{400000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{653}{15000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{84}{125} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{72}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"27/71680000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 261/1280000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 4203/320000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 451/400000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 653/15000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 84/125*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 72/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2275,1,356,0,1.401867," ","integrate((2+3*x)^3*(3+5*x)^(3/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{9}{512000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{4000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{921}{3200000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{883}{60000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{141}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{36}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"9/512000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/4000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 921/3200000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 883/60000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 141/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 36/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2276,1,275,0,1.258152," ","integrate((2+3*x)^2*(3+5*x)^(3/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{3}{12800000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{19}{320000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{541}{120000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{57}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{18}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"3/12800000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 19/320000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 541/120000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 57/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 18/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2277,1,203,0,1.004329," ","integrate((2+3*x)*(3+5*x)^(3/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{128000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{7}{6000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{87}{2000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/128000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 7/6000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 87/2000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2278,1,140,0,1.107607," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{4800} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{3}{200} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{50} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/4800*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 3/200*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/50*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2279,1,173,0,1.525644," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x),x, algorithm=""giac"")","\frac{1}{270} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{360} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} - 41 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{793}{4320} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}"," ",0,"1/270*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/360*(12*sqrt(5)*(5*x + 3) - 41*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 793/4320*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","B",0
2280,1,279,0,1.807690," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x)^2,x, algorithm=""giac"")","-\frac{107}{3780} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{41}{108} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{9} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{22 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{9 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"-107/3780*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 41/108*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/9*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 22/9*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2281,1,319,0,2.158717," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{4091}{105840} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{5}{27} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11 \, \sqrt{10} {\left(107 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{48440 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{193760 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{126 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"4091/105840*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 5/27*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/126*sqrt(10)*(107*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 48440*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 193760*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2282,1,310,0,1.889600," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{1331}{54880} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1331 \, \sqrt{10} {\left(3 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 2240 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{235200 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{940800 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{588 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"1331/54880*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1331/588*sqrt(10)*(3*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 2240*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 235200*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 940800*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2283,1,368,0,2.255980," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{30613}{614656} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{6655 \, \sqrt{10} {\left(69 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 70840 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 15821120 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{1514688000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{6058752000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{32928 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"30613/614656*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 6655/32928*sqrt(10)*(69*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 70840*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 15821120*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 1514688000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 6058752000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2284,1,426,0,3.148632," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x)^6,x, algorithm=""giac"")","\frac{783959}{6146560} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1331 \, \sqrt{10} {\left(1767 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 2308880 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 925245440 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 177804928000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{10860971520000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{43443886080000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{65856 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"783959/6146560*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1331/65856*sqrt(10)*(1767*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 2308880*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 925245440*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 177804928000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 10860971520000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 43443886080000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2285,1,484,0,3.411111," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x)^7,x, algorithm=""giac"")","\frac{64645339}{172103680} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1331 \, \sqrt{10} {\left(145707 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} + 231188440 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 144245619840 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 41365512115200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 5067855403520000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{250767109017600000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{1003068436070400000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{1843968 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{6}}"," ",0,"64645339/172103680*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1331/1843968*sqrt(10)*(145707*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 + 231188440*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 144245619840*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 41365512115200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 5067855403520000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 250767109017600000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 1003068436070400000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^6","B",0
2286,1,545,0,1.612974," ","integrate((2+3*x)^4*(3+5*x)^(5/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{27}{458752000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(4 \, {\left(24 \, {\left(140 \, x - 599\right)} {\left(5 \, x + 3\right)} + 175163\right)} {\left(5 \, x + 3\right)} - 4295993\right)} {\left(5 \, x + 3\right)} + 265620213\right)} {\left(5 \, x + 3\right)} - 2676516549\right)} {\left(5 \, x + 3\right)} + 35390483373\right)} {\left(5 \, x + 3\right)} - 164483997363\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 309625826895 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{603}{71680000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{5769}{2560000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{30649}{320000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1831}{300000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{933}{5000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{297}{125} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{216}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"27/458752000000*sqrt(5)*(2*(4*(8*(4*(16*(4*(24*(140*x - 599)*(5*x + 3) + 175163)*(5*x + 3) - 4295993)*(5*x + 3) + 265620213)*(5*x + 3) - 2676516549)*(5*x + 3) + 35390483373)*(5*x + 3) - 164483997363)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 309625826895*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 603/71680000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 5769/2560000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 30649/320000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1831/300000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 933/5000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 297/125*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 216/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2287,1,446,0,1.479381," ","integrate((2+3*x)^3*(3+5*x)^(5/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{9}{14336000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{171}{512000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1353}{64000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{17119}{9600000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1353}{20000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{513}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{108}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"9/14336000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 171/512000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1353/64000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 17119/9600000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1353/20000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 513/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 108/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2288,1,356,0,1.158278," ","integrate((2+3*x)^2*(3+5*x)^(5/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{3}{102400000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{47}{12800000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{883}{1920000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{921}{40000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{54}{125} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{54}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"3/102400000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 47/12800000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 883/1920000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 921/40000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 54/125*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 54/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2289,1,275,0,1.086897," ","integrate((2+3*x)*(3+5*x)^(5/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{2560000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{37}{384000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{57}{8000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{351}{2000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{27}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/2560000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 37/384000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 57/8000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 351/2000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 27/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2290,1,203,0,1.131162," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{76800} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{3}{1600} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{27}{400} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{27}{50} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/76800*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 3/1600*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 27/400*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 27/50*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2291,1,186,0,1.369203," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x),x, algorithm=""giac"")","-\frac{1}{810} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{4320} \, {\left(12 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} - 15 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 925 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{6553}{10368} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}"," ",0,"-1/810*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/4320*(12*(8*sqrt(5)*(5*x + 3) - 15*sqrt(5))*(5*x + 3) - 925*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 6553/10368*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","B",0
2292,1,292,0,2.126445," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{59}{3780} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{216} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} - 49 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{155}{864} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{22 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{27 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"59/3780*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/216*(12*sqrt(5)*(5*x + 3) - 49*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 155/864*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 22/27*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2293,1,338,0,2.194115," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{2119}{35280} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{25}{36} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{5}{27} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{11 \, \sqrt{10} {\left(247 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{87640 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{350560 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{378 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"-2119/35280*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 25/36*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 5/27*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 11/378*sqrt(10)*(247*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 87640*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 350560*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2294,1,377,0,2.448773," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{250433}{4445280} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{25}{81} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11 \, \sqrt{10} {\left(6401 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 4674880 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{1034801600 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{4139206400 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{5292 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"250433/4445280*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 25/81*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/5292*sqrt(10)*(6401*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 4674880*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 1034801600*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4139206400*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2295,1,368,0,2.645272," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{14641}{614656} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{73205 \, \sqrt{10} {\left(3 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 3080 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 1144640 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{65856000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{263424000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{32928 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"14641/614656*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 73205/32928*sqrt(10)*(3*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 3080*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 1144640*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 65856000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 263424000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2296,1,426,0,3.186412," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^6,x, algorithm=""giac"")","\frac{248897}{6146560} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{14641 \, \sqrt{10} {\left(51 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 66640 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 34119680 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 3618944000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{313474560000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{1253898240000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{65856 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"248897/6146560*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 14641/65856*sqrt(10)*(51*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 66640*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 34119680*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 3618944000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 313474560000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 1253898240000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2297,1,484,0,3.770628," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^7,x, algorithm=""giac"")","\frac{15036307}{172103680} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{14641 \, \sqrt{10} {\left(3081 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} + 4888520 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 3188465280 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 599903001600 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 103716175360000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{5302514380800000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{21210057523200000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{1843968 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{6}}"," ",0,"15036307/172103680*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 14641/1843968*sqrt(10)*(3081*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 + 4888520*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 3188465280*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 599903001600*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 103716175360000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 5302514380800000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 21210057523200000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^6","B",0
2298,1,542,0,4.991316," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^8,x, algorithm=""giac"")","\frac{3735929329}{16866160640} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{14641 \, \sqrt{10} {\left(765507 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{13} + 1428946400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} + 1132297127360 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 334448649830400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 85378328229376000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 8754907317452800000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{368890400944128000000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{1475561603776512000000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{180708864 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{7}}"," ",0,"3735929329/16866160640*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 14641/180708864*sqrt(10)*(765507*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^13 + 1428946400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 + 1132297127360*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 334448649830400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 85378328229376000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 8754907317452800000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 368890400944128000000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 1475561603776512000000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^7","B",0
2299,-2,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(f*x+e)/(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
2300,-2,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(f*x+e)/(b*x+a)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:"index.cc index_m i_lex_is_greater Error: Bad Argument Value"","F(-2)",0
2301,1,203,0,1.183852," ","integrate((2+3*x)^3*(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{9}{3200000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{20000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{4}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"9/3200000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/20000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 4/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2302,1,140,0,1.200912," ","integrate((2+3*x)^2*(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{3}{40000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{3}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{2}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"3/40000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 3/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 2/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","A",0
2303,1,86,0,1.018565," ","integrate((2+3*x)*(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{3}{2000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"3/2000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","A",0
2304,1,40,0,1.059202," ","integrate((1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{50} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/50*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","A",0
2305,1,145,0,1.173233," ","integrate((1-2*x)^(1/2)/(2+3*x)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{30} \, \sqrt{5} {\left(\sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - 2 \, \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}\right)}"," ",0,"1/30*sqrt(5)*(sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 2*sqrt(2)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))))","B",0
2306,1,197,0,1.331299," ","integrate((1-2*x)^(1/2)/(2+3*x)^2/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{11}{140} \, \sqrt{5} {\left(\sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{280 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{{\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280}\right)}"," ",0,"11/140*sqrt(5)*(sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 280*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280))","B",0
2307,1,257,0,1.451450," ","integrate((1-2*x)^(1/2)/(2+3*x)^3/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{11}{3920} \, \sqrt{5} {\left(107 \, \sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{280 \, \sqrt{2} {\left(173 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{29960 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{119840 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{{\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}\right)}"," ",0,"11/3920*sqrt(5)*(107*sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 280*sqrt(2)*(173*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 29960*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 119840*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2)","B",0
2308,1,315,0,1.781782," ","integrate((1-2*x)^(1/2)/(2+3*x)^4/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{11}{54880} \, \sqrt{5} {\left(6269 \, \sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{280 \, \sqrt{2} {\left(13331 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 4674880 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{491489600 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{1965958400 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{{\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}\right)}"," ",0,"11/54880*sqrt(5)*(6269*sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 280*sqrt(2)*(13331*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 4674880*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 491489600*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 1965958400*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3)","B",0
2309,1,373,0,2.394304," ","integrate((1-2*x)^(1/2)/(2+3*x)^5/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{55}{614656} \, \sqrt{5} {\left(61547 \, \sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{280 \, \sqrt{2} {\left(157973 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 83743800 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 17691640512 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{1351079744000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{5404318976000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{{\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}\right)}"," ",0,"55/614656*sqrt(5)*(61547*sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 280*sqrt(2)*(157973*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 83743800*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 17691640512*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 1351079744000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 5404318976000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4)","B",0
2310,1,122,0,1.448876," ","integrate((2+3*x)^3*(1-2*x)^(1/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{9}{100000} \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 463 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{10409}{40000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{6250 \, \sqrt{5 \, x + 3}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{3125 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"9/100000*(4*(8*sqrt(5)*(5*x + 3) + sqrt(5))*(5*x + 3) - 463*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10409/40000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/6250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2/3125*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2311,1,111,0,1.361526," ","integrate((2+3*x)^2*(1-2*x)^(1/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{3}{5000} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} - 17 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{317}{2000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{1250 \, \sqrt{5 \, x + 3}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{625 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"3/5000*(12*sqrt(5)*(5*x + 3) - 17*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 317/2000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/1250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2/625*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2312,1,98,0,1.051025," ","integrate((2+3*x)*(1-2*x)^(1/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{3}{125} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{29}{250} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{250 \, \sqrt{5 \, x + 3}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{125 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"3/125*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 29/250*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2/125*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2313,1,83,0,1.317113," ","integrate((1-2*x)^(1/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{1}{50} \, \sqrt{5} {\left(4 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{\sqrt{2} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{2} \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}"," ",0,"-1/50*sqrt(5)*(4*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + sqrt(2)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(2)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))","B",0
2314,1,136,0,1.466900," ","integrate((1-2*x)^(1/2)/(2+3*x)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{1}{10} \, \sqrt{5} {\left(\sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}"," ",0,"-1/10*sqrt(5)*(sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","B",0
2315,1,257,0,1.665380," ","integrate((1-2*x)^(1/2)/(2+3*x)^2/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{1}{140} \, \sqrt{5} {\left(103 \, \sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + 70 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{9240 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{{\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280}\right)}"," ",0,"-1/140*sqrt(5)*(103*sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 70*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 9240*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280))","B",0
2316,1,316,0,2.049200," ","integrate((1-2*x)^(1/2)/(2+3*x)^3/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{1}{3920} \, \sqrt{5} {\left(17951 \, \sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + 9800 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{9240 \, \sqrt{2} {\left(313 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{69160 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{276640 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{{\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}\right)}"," ",0,"-1/3920*sqrt(5)*(17951*sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 9800*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 9240*sqrt(2)*(313*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 69160*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 276640*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2)","B",0
2317,1,374,0,2.552422," ","integrate((1-2*x)^(1/2)/(2+3*x)^4/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{1}{54880} \, \sqrt{5} {\left(1463447 \, \sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + 686000 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{27720 \, \sqrt{2} {\left(11747 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 5216960 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{615675200 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{2462700800 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{{\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}\right)}"," ",0,"-1/54880*sqrt(5)*(1463447*sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 686000*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 27720*sqrt(2)*(11747*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 5216960*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 615675200*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 2462700800*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3)","B",0
2318,1,184,0,2.113330," ","integrate((2+3*x)^4*(1-2*x)^(1/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{27}{500000} \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + 5 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 475 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{1}{8250000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{3156 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{35511}{200000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{789 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{515625 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"27/500000*(4*(8*sqrt(5)*(5*x + 3) + 5*sqrt(5))*(5*x + 3) - 475*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 1/8250000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 3156*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 35511/200000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/515625*sqrt(10)*(5*x + 3)^(3/2)*(789*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","A",0
2319,1,171,0,1.912471," ","integrate((2+3*x)^3*(1-2*x)^(1/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{27}{25000} \, {\left(4 \, \sqrt{5} {\left(5 \, x + 3\right)} - 3 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{1}{1650000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{2364 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{1071}{10000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{591 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{103125 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"27/25000*(4*sqrt(5)*(5*x + 3) - 3*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 1/1650000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 2364*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 1071/10000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/103125*sqrt(10)*(5*x + 3)^(3/2)*(591*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","A",0
2320,1,158,0,1.704307," ","integrate((2+3*x)^2*(1-2*x)^(1/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{330000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{1572 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{9}{625} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{3}{50} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{393 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{20625 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/330000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 1572*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 9/625*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 3/50*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/20625*sqrt(10)*(5*x + 3)^(3/2)*(393*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2321,1,139,0,1.451934," ","integrate((2+3*x)*(1-2*x)^(1/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{66000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{780 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{6}{125} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{195 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{4125 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/66000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 780*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 6/125*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/4125*sqrt(10)*(5*x + 3)^(3/2)*(195*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2322,1,125,0,1.244500," ","integrate((1-2*x)^(1/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{13200} \, \sqrt{5} {\left(\sqrt{2} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} - \frac{12 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{16 \, \sqrt{2} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{3 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}\right)}"," ",0,"-1/13200*sqrt(5)*(sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) - 12*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 16*sqrt(2)*(5*x + 3)^(3/2)*(3*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3)","B",0
2323,1,195,0,1.502714," ","integrate((1-2*x)^(1/2)/(2+3*x)/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{1}{2640} \, \sqrt{5} {\left(792 \, \sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \sqrt{2} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{792 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{3168 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}"," ",0,"1/2640*sqrt(5)*(792*sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - sqrt(2)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 792*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 3168*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","B",0
2324,1,318,0,1.930581," ","integrate((1-2*x)^(1/2)/(2+3*x)^2/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{18480} \, \sqrt{5} {\left(35 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - 68508 \, \sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - 55440 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{3659040 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{{\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280}\right)}"," ",0,"-1/18480*sqrt(5)*(35*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 68508*sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 55440*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 3659040*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280))","B",0
2325,1,377,0,2.501420," ","integrate((1-2*x)^(1/2)/(2+3*x)^3/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{129360} \, \sqrt{5} {\left(1225 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - 4174929 \, \sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - 2910600 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{2744280 \, \sqrt{2} {\left(151 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{36120 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{144480 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{{\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}\right)}"," ",0,"-1/129360*sqrt(5)*(1225*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 4174929*sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 2910600*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 2744280*sqrt(2)*(151*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 36120*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 144480*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2)","B",0
2326,1,439,0,2.750300," ","integrate((1-2*x)^(1/2)/(2+3*x)^4/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{1}{1811040} \, \sqrt{5} {\left(437126283 \, \sqrt{70} \sqrt{2} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - 85750 \, \sqrt{2} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{3168 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{12672 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{2744280 \, {\left(22317 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 10704960 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 1323627200 \, \sqrt{2} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{{\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}\right)}"," ",0,"1/1811040*sqrt(5)*(437126283*sqrt(70)*sqrt(2)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 85750*sqrt(2)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 3168*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 12672*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 2744280*(22317*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 10704960*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 1323627200*sqrt(2)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3)","B",0
2327,1,356,0,1.161253," ","integrate((1-2*x)^(3/2)*(2+3*x)^3*(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{9}{1280000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{189}{320000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{111}{3200000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{23}{60000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{20} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{12}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-9/1280000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 189/320000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 111/3200000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 23/60000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/20*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 12/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2328,1,275,0,1.355084," ","integrate((1-2*x)^(3/2)*(2+3*x)^2*(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{3}{32000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{43}{3200000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1}{4800} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{2}{125} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{6}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-3/32000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 43/3200000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1/4800*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 2/125*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 6/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2329,1,203,0,1.078624," ","integrate((1-2*x)^(3/2)*(2+3*x)*(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{320000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{23}{120000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{7}{2000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{3}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-1/320000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 23/120000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 7/2000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 3/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2330,1,140,0,1.104506," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{12000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1}{2000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{3}{50} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-1/12000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1/2000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 3/50*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2331,1,173,0,1.243294," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2)/(2+3*x),x, algorithm=""giac"")","-\frac{7}{270} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{900} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} - 173 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{4091}{10800} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}"," ",0,"-7/270*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/900*(12*sqrt(5)*(5*x + 3) - 173*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4091/10800*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","B",0
2332,1,279,0,1.700104," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{41}{540} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{107}{270} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{2}{45} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{154 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{9 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"41/540*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 107/270*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 2/45*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 154/9*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2333,1,324,0,1.687074," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{793}{15120} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{2}{27} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{55 \, {\left(5 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - 2296 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{18 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"793/15120*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 2/27*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 55/18*(5*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 2296*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2334,1,310,0,1.864664," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{1331}{7840} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1331 \, \sqrt{10} {\left(3 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 2240 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{235200 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{940800 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{84 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"1331/7840*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1331/84*sqrt(10)*(3*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 2240*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 235200*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 940800*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2335,1,368,0,2.598127," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{240911}{439040} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1331 \, \sqrt{10} {\left(543 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 696920 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 156094400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{11919936000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{47679744000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{4704 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"240911/439040*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1331/4704*sqrt(10)*(543*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 696920*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 156094400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 11919936000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 47679744000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2336,1,426,0,3.062785," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2)/(2+3*x)^6,x, algorithm=""giac"")","\frac{11988317}{6146560} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1331 \, \sqrt{10} {\left(27021 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 52500560 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 18029240320 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 2768103296000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{166086197760000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{664344791040000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{65856 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"11988317/6146560*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1331/65856*sqrt(10)*(27021*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 52500560*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 18029240320*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 2768103296000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 166086197760000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 664344791040000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2337,1,446,0,1.292336," ","integrate((1-2*x)^(3/2)*(2+3*x)^3*(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{9}{35840000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{243}{2560000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{561}{160000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{769}{9600000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{319}{60000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{21}{100} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{36}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-9/35840000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 243/2560000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 561/160000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 769/9600000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 319/60000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 21/100*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 36/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2338,1,356,0,1.264975," ","integrate((1-2*x)^(3/2)*(2+3*x)^2*(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{3}{256000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{61}{64000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1}{18750} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{17}{24000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{39}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{18}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-3/256000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 61/64000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1/18750*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 17/24000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 39/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 18/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2339,1,275,0,1.376802," ","integrate((1-2*x)^(3/2)*(2+3*x)*(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{1}{6400000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{41}{1920000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{17}{60000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{51}{2000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-1/6400000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 41/1920000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 17/60000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 51/2000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2340,1,203,0,1.030475," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{1}{192000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{7}{24000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{3}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{50} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-1/192000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 7/24000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 3/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/50*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2341,1,186,0,1.485000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x),x, algorithm=""giac"")","\frac{7}{810} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{10800} \, {\left(12 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} - 81 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 1781 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{19573}{129600} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}"," ",0,"7/810*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/10800*(12*(8*sqrt(5)*(5*x + 3) - 81*sqrt(5))*(5*x + 3) + 1781*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 19573/129600*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","B",0
2342,1,292,0,1.951391," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^2,x, algorithm=""giac"")","-\frac{37}{540} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{540} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} - 181 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{1649}{2160} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{154 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{27 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"-37/540*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/540*(12*sqrt(5)*(5*x + 3) - 181*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 1649/2160*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 154/27*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2343,1,338,0,2.422704," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{1649}{15120} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{37}{54} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{2}{27} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{55 \, \sqrt{10} {\left(23 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{10136 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{40544 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{54 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"1649/15120*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 37/54*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 2/27*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 55/54*sqrt(10)*(23*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 10136*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 40544*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2344,1,377,0,2.449573," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{19573}{635040} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{10}{81} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11 \, \sqrt{10} {\left(661 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 499520 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{139630400 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{558521600 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{756 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"19573/635040*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 10/81*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/756*sqrt(10)*(661*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 499520*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 139630400*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 558521600*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2345,1,368,0,2.431069," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{43923}{439040} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{14641 \, \sqrt{10} {\left(3 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 3080 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 862400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{65856000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{263424000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{1568 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"43923/439040*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 14641/1568*sqrt(10)*(3*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 3080*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 862400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 65856000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 263424000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2346,1,426,0,3.003724," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^6,x, algorithm=""giac"")","\frac{1625151}{6146560} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{14641 \, \sqrt{10} {\left(111 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 145040 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 66232320 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 11371136000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{682268160000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{2729072640000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{21952 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"1625151/6146560*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 14641/21952*sqrt(10)*(111*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 145040*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 66232320*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 11371136000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 682268160000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2729072640000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2347,1,484,0,4.022898," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^7,x, algorithm=""giac"")","\frac{19457889}{24586240} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{14641 \, \sqrt{10} {\left(1329 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} + 2108680 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 1434500480 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 382530534400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 46289743360000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{2287257907200000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{9149031628800000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{87808 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{6}}"," ",0,"19457889/24586240*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 14641/87808*sqrt(10)*(1329*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 + 2108680*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 1434500480*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 382530534400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 46289743360000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 2287257907200000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 9149031628800000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^6","B",0
2348,1,542,0,4.954702," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^8,x, algorithm=""giac"")","\frac{6219452877}{2409451520} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{14641 \, \sqrt{10} {\left(424797 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{13} + 792954400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} - 748492373440 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 270037116518400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 49241484970496000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 4873941796864000000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{204705555468288000000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{818822221873152000000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{8605184 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{7}}"," ",0,"6219452877/2409451520*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 14641/8605184*sqrt(10)*(424797*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^13 + 792954400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 - 748492373440*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 270037116518400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 49241484970496000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 4873941796864000000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 204705555468288000000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 818822221873152000000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^7","B",0
2349,1,545,0,1.410216," ","integrate((1-2*x)^(3/2)*(2+3*x)^3*(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{9}{229376000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(4 \, {\left(24 \, {\left(140 \, x - 599\right)} {\left(5 \, x + 3\right)} + 175163\right)} {\left(5 \, x + 3\right)} - 4295993\right)} {\left(5 \, x + 3\right)} + 265620213\right)} {\left(5 \, x + 3\right)} - 2676516549\right)} {\left(5 \, x + 3\right)} + 35390483373\right)} {\left(5 \, x + 3\right)} - 164483997363\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 309625826895 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{297}{71680000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1851}{2560000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{13943}{960000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{883}{9600000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{669}{20000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{81}{100} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{108}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-9/229376000000*sqrt(5)*(2*(4*(8*(4*(16*(4*(24*(140*x - 599)*(5*x + 3) + 175163)*(5*x + 3) - 4295993)*(5*x + 3) + 265620213)*(5*x + 3) - 2676516549)*(5*x + 3) + 35390483373)*(5*x + 3) - 164483997363)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 309625826895*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 297/71680000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1851/2560000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 13943/960000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 883/9600000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 669/20000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 81/100*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 108/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2350,1,446,0,1.423098," ","integrate((1-2*x)^(3/2)*(2+3*x)^2*(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{3}{7168000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{79}{512000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1061}{192000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1111}{9600000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{69}{8000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{81}{250} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{54}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-3/7168000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 79/512000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1061/192000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1111/9600000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 69/8000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 81/250*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 54/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2351,1,356,0,1.433207," ","integrate((1-2*x)^(3/2)*(2+3*x)*(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{51200000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{59}{38400000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{157}{1920000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{51}{40000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{243}{2000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{27}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-1/51200000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 59/38400000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 157/1920000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 51/40000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 243/2000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 27/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2352,1,275,0,1.190124," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{3840000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{13}{384000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{3}{8000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{81}{2000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{27}{50} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-1/3840000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 13/384000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 3/8000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 81/2000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 27/50*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2353,1,199,0,1.583234," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x),x, algorithm=""giac"")","-\frac{7}{2430} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{518400} \, {\left(12 \, {\left(8 \, {\left(36 \, \sqrt{5} {\left(5 \, x + 3\right)} - 313 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 2385 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 79315 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{648919}{1244160} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}"," ",0,"-7/2430*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/518400*(12*(8*(36*sqrt(5)*(5*x + 3) - 313*sqrt(5))*(5*x + 3) + 2385*sqrt(5))*(5*x + 3) + 79315*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 648919/1244160*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","A",0
2354,1,305,0,2.247006," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{181}{4860} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{2160} \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} - 85 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 835 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{43}{15552} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{154 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{81 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"181/4860*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/2160*(4*(8*sqrt(5)*(5*x + 3) - 85*sqrt(5))*(5*x + 3) + 835*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 43/15552*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 154/81*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2355,1,351,0,2.813874," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{6829}{45360} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{108} \, {\left(4 \, \sqrt{5} {\left(5 \, x + 3\right)} - 63 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{1945}{1296} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{55 \, \sqrt{10} {\left(17 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{5992 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{23968 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{54 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"-6829/45360*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/108*(4*sqrt(5)*(5*x + 3) - 63*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 1945/1296*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 55/54*sqrt(10)*(17*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 5992*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 23968*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2356,1,396,0,3.316599," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{326717}{1905120} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{575}{486} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{10}{81} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{11 \, \sqrt{10} {\left(2463 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 1767360 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{377652800 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{1510611200 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{756 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"326717/1905120*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 575/486*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 10/81*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 11/756*sqrt(10)*(2463*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 1767360*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 377652800*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 1510611200*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2357,1,435,0,3.338008," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{1922677}{106686720} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{50}{243} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11 \, \sqrt{10} {\left(77269 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 81002040 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 31057924800 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{8580356288000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{34321425152000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{127008 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"1922677/106686720*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 50/243*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/127008*sqrt(10)*(77269*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 81002040*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 31057924800*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 8580356288000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 34321425152000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2358,1,426,0,3.587961," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^6,x, algorithm=""giac"")","\frac{483153}{6146560} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{161051 \, \sqrt{10} {\left(3 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 3920 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 2007040 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 307328000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{18439680000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{73758720000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{21952 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"483153/6146560*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 161051/21952*sqrt(10)*(3*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 3920*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 2007040*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 307328000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 18439680000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 73758720000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2359,1,484,0,4.079237," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^7,x, algorithm=""giac"")","\frac{4348377}{24586240} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{161051 \, \sqrt{10} {\left(27 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} + 42840 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 27941760 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 6539187200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 940423680000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{46467993600000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{185871974400000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{87808 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{6}}"," ",0,"4348377/24586240*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 161051/87808*sqrt(10)*(27*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 + 42840*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 27941760*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 6539187200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 940423680000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 46467993600000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 185871974400000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^6","B",0
2360,1,542,0,5.011541," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^8,x, algorithm=""giac"")","\frac{1104970911}{2409451520} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{161051 \, \sqrt{10} {\left(6861 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{13} + 12807200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} + 10148425280 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 3461100339200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 785566018048000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 78720223232000000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{3306249375744000000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{13224997502976000000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{8605184 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{7}}"," ",0,"1104970911/2409451520*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 161051/8605184*sqrt(10)*(6861*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^13 + 12807200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 + 10148425280*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 3461100339200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 785566018048000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 78720223232000000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 3306249375744000000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 13224997502976000000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^7","B",0
2361,1,275,0,1.432831," ","integrate((1-2*x)^(3/2)*(2+3*x)^3/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{9}{160000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{27}{3200000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{3}{20000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{100} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{4}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-9/160000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 27/3200000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 3/20000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/100*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 4/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2362,1,203,0,1.030752," ","integrate((1-2*x)^(3/2)*(2+3*x)^2/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{3}{1600000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1}{8000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{2}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-3/1600000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1/8000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 2/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2363,1,140,0,1.077624," ","integrate((1-2*x)^(3/2)*(2+3*x)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{20000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1}{2000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-1/20000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1/2000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2364,1,86,0,1.118274," ","integrate((1-2*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{1000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{50} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"-1/1000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/50*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","A",0
2365,1,160,0,1.215203," ","integrate((1-2*x)^(3/2)/(2+3*x)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{7}{90} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{103}{450} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{2}{75} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}"," ",0,"7/90*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 103/450*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 2/75*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)","B",0
2366,1,260,0,1.652152," ","integrate((1-2*x)^(3/2)/(2+3*x)^2/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{29}{180} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{2}{45} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{154 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{3 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"29/180*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 2/45*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 154/3*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2367,1,250,0,1.542532," ","integrate((1-2*x)^(3/2)/(2+3*x)^3/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{363}{560} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{605 \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{168 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{672 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{2 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"363/560*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 605/2*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 168*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 672*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2368,1,310,0,1.919256," ","integrate((1-2*x)^(3/2)/(2+3*x)^4/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{21417}{7840} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{121 \, \sqrt{10} {\left(383 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 132160 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{13876800 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{55507200 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{28 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"21417/7840*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 121/28*sqrt(10)*(383*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 132160*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 13876800*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 55507200*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2369,1,368,0,2.339988," ","integrate((1-2*x)^(3/2)/(2+3*x)^5/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{5274027}{439040} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{121 \, \sqrt{10} {\left(113213 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 59365880 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 12529809600 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{956821824000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{3827287296000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{1568 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"5274027/439040*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 121/1568*sqrt(10)*(113213*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 59365880*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 12529809600*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 956821824000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 3827287296000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2370,1,426,0,2.962546," ","integrate((1-2*x)^(3/2)/(2+3*x)^6/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{333216939}{6146560} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{121 \, \sqrt{10} {\left(8222141 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 5797080240 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 1842336276480 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 282112659584000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{16926759575040000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{67707038300160000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{21952 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"333216939/6146560*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 121/21952*sqrt(10)*(8222141*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 5797080240*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 1842336276480*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 282112659584000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 16926759575040000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 67707038300160000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2371,1,137,0,1.511448," ","integrate((1-2*x)^(3/2)*(2+3*x)^3/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{1}{4000000} \, {\left(36 \, {\left(8 \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} - 83 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 805 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 128915 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{390621}{1600000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{11 \, \sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{31250 \, \sqrt{5 \, x + 3}} + \frac{22 \, \sqrt{10} \sqrt{5 \, x + 3}}{15625 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-1/4000000*(36*(8*(12*sqrt(5)*(5*x + 3) - 83*sqrt(5))*(5*x + 3) - 805*sqrt(5))*(5*x + 3) + 128915*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 390621/1600000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 11/31250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 22/15625*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2372,1,124,0,1.345367," ","integrate((1-2*x)^(3/2)*(2+3*x)^2/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{1}{50000} \, {\left(12 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} - 69 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 199 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{3927}{20000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{11 \, \sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{6250 \, \sqrt{5 \, x + 3}} + \frac{22 \, \sqrt{10} \sqrt{5 \, x + 3}}{3125 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-1/50000*(12*(8*sqrt(5)*(5*x + 3) - 69*sqrt(5))*(5*x + 3) - 199*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 3927/20000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 11/6250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 22/3125*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2373,1,111,0,1.389830," ","integrate((1-2*x)^(3/2)*(2+3*x)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{1}{2500} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} - 157 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{33}{200} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{11 \, \sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{1250 \, \sqrt{5 \, x + 3}} + \frac{22 \, \sqrt{10} \sqrt{5 \, x + 3}}{625 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-1/2500*(12*sqrt(5)*(5*x + 3) - 157*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 33/200*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 11/1250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 22/625*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2374,1,98,0,1.056231," ","integrate((1-2*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{2}{125} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{33}{125} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{11 \, \sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{250 \, \sqrt{5 \, x + 3}} + \frac{22 \, \sqrt{10} \sqrt{5 \, x + 3}}{125 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-2/125*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 33/125*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 11/250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 22/125*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2375,1,200,0,1.409934," ","integrate((1-2*x)^(3/2)/(2+3*x)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{7}{30} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{2}{75} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11}{50} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}"," ",0,"-7/30*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 2/75*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/50*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))","B",0
2376,1,252,0,1.369638," ","integrate((1-2*x)^(3/2)/(2+3*x)^2/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{33}{20} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11}{10} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{154 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{{\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280}"," ",0,"-33/20*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/10*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 154*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2377,1,311,0,1.742575," ","integrate((1-2*x)^(3/2)/(2+3*x)^3/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{5709}{560} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11}{2} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{55 \, \sqrt{10} {\left(61 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{13384 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{53536 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{2 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"-5709/560*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/2*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 55/2*sqrt(10)*(61*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 13384*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 53536*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2378,1,377,0,2.675010," ","integrate((1-2*x)^(3/2)/(2+3*x)^4/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{463881}{7840} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{55}{2} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{11 \, {\left(33989 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 15023680 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 1769566400 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{28 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"-463881/7840*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 55/2*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 11/28*(33989*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 15023680*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 1769566400*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2379,1,438,0,2.974653," ","integrate((1-2*x)^(3/2)/(2+3*x)^5/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{145708761}{439040} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{275}{2} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{11 \, {\left(13252949 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 8830442040 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 2086818820800 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 170309125952000 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{1568 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"-145708761/439040*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 275/2*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 11/1568*(13252949*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 8830442040*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 2086818820800*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 170309125952000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2380,1,184,0,1.524476," ","integrate((1-2*x)^(3/2)*(2+3*x)^3/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{9}{250000} \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} - 65 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 265 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{1}{750000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{2316 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{13153}{100000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{579 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{46875 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-9/250000*(4*(8*sqrt(5)*(5*x + 3) - 65*sqrt(5))*(5*x + 3) - 265*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 1/750000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 2316*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 13153/100000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/46875*sqrt(10)*(5*x + 3)^(3/2)*(579*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","A",0
2381,1,171,0,1.573320," ","integrate((1-2*x)^(3/2)*(2+3*x)^2/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{3}{12500} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} - 149 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{1}{150000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{1524 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{343}{5000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{381 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{9375 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-3/12500*(12*sqrt(5)*(5*x + 3) - 149*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 1/150000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 1524*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 343/5000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/9375*sqrt(10)*(5*x + 3)^(3/2)*(381*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2382,1,158,0,1.592435," ","integrate((1-2*x)^(3/2)*(2+3*x)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{30000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{732 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{6}{625} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{19}{125} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{183 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{1875 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/30000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 732*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 6/625*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 19/125*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/1875*sqrt(10)*(5*x + 3)^(3/2)*(183*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2383,1,139,0,1.297233," ","integrate((1-2*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{6000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} - \frac{60 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{4}{125} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{15 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{375 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/6000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) - 60*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 4/125*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/375*sqrt(10)*(5*x + 3)^(3/2)*(15*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2384,1,190,0,1.502044," ","integrate((1-2*x)^(3/2)/(2+3*x)/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{7}{10} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{1200} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{840 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{3360 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}"," ",0,"7/10*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/1200*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 840*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 3360*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))","B",0
2385,1,309,0,1.927157," ","integrate((1-2*x)^(3/2)/(2+3*x)^2/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{169}{20} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{240} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{1632 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{6528 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{462 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{{\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280}"," ",0,"169/20*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/240*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 1632*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 6528*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 462*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2386,1,372,0,2.159983," ","integrate((1-2*x)^(3/2)/(2+3*x)^3/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{48} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{40787}{560} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{101}{2} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{165 \, \sqrt{10} {\left(89 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{21224 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{84896 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{2 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"-1/48*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 40787/560*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 101/2*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 165/2*sqrt(10)*(89*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 21224*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 84896*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2387,1,434,0,3.161982," ","integrate((1-2*x)^(3/2)/(2+3*x)^4/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{4246733}{7840} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{5}{48} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{3216 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{12864 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{99 \, {\left(21713 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 10391360 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 1283172800 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{28 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"4246733/7840*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 5/48*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 3216*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 12864*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 99/28*(21713*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 10391360*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 1283172800*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2388,1,446,0,1.458960," ","integrate((1-2*x)^(5/2)*(2+3*x)^3*(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{9}{89600000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{400000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{33}{320000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{17}{384000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{77}{60000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{13}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{12}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"9/89600000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/400000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 33/320000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 17/384000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 77/60000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 13/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 12/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2389,1,356,0,1.324718," ","integrate((1-2*x)^(5/2)*(2+3*x)^2*(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{3}{640000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{7}{40000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{79}{9600000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{89}{120000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{250} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{6}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"3/640000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 7/40000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 79/9600000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 89/120000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/250*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 6/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2390,1,275,0,1.334758," ","integrate((1-2*x)^(5/2)*(2+3*x)*(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{16000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{600000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{37}{120000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1}{400} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{3}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/16000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/600000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 37/120000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1/400*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 3/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2391,1,203,0,1.252606," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{480000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1}{15000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{7}{2000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{3}{50} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/480000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1/15000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 7/2000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 3/50*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2392,1,186,0,1.444469," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x),x, algorithm=""giac"")","-\frac{49}{810} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{27000} \, {\left(12 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} - 147 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 13199 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{250433}{324000} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}"," ",0,"-49/810*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/27000*(12*(8*sqrt(5)*(5*x + 3) - 147*sqrt(5))*(5*x + 3) + 13199*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 250433/324000*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","B",0
2393,1,292,0,2.106812," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{7}{36} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{1350} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} - 313 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{2119}{1800} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1078 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{27 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"7/36*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/1350*(12*sqrt(5)*(5*x + 3) - 313*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 2119/1800*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1078/27*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2394,1,338,0,2.435995," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{31}{432} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{59}{135} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{4}{135} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{77 \, \sqrt{10} {\left(17 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{13720 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{54880 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{54 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"31/432*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 59/135*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 4/135*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 77/54*sqrt(10)*(17*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 13720*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 54880*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2395,1,377,0,2.815214," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{6553}{18144} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{4}{81} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11 \, \sqrt{10} {\left(989 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 795200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{72520000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{290080000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{108 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"6553/18144*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 4/81*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/108*sqrt(10)*(989*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 795200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 72520000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 290080000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2396,1,368,0,2.503893," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{14641}{12544} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{73205 \, \sqrt{10} {\left(3 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 4088 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 862400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{65856000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{263424000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{672 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"14641/12544*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 73205/672*sqrt(10)*(3*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 4088*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 862400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 65856000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 263424000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2397,1,426,0,3.449775," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^6,x, algorithm=""giac"")","\frac{3674891}{878080} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{14641 \, \sqrt{10} {\left(753 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 1524880 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 503767040 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 77139328000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{4628359680000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{18513438720000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{9408 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"3674891/878080*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 14641/9408*sqrt(10)*(753*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 1524880*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 503767040*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 77139328000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 4628359680000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 18513438720000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2398,1,484,0,4.139012," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^7,x, algorithm=""giac"")","\frac{78256145}{4917248} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{366025 \, \sqrt{10} {\left(3207 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} - 8960840 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 4031723136 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 929280844800 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 111701434880000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{5519365017600000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{22077460070400000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{263424 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{6}}"," ",0,"78256145/4917248*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 366025/263424*sqrt(10)*(3207*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 - 8960840*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 4031723136*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 929280844800*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 111701434880000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 5519365017600000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 22077460070400000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^6","B",0
2399,1,545,0,1.360496," ","integrate((1-2*x)^(5/2)*(2+3*x)^3*(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{9}{573440000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(4 \, {\left(24 \, {\left(140 \, x - 599\right)} {\left(5 \, x + 3\right)} + 175163\right)} {\left(5 \, x + 3\right)} - 4295993\right)} {\left(5 \, x + 3\right)} + 265620213\right)} {\left(5 \, x + 3\right)} - 2676516549\right)} {\left(5 \, x + 3\right)} + 35390483373\right)} {\left(5 \, x + 3\right)} - 164483997363\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 309625826895 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{99}{89600000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1029}{12800000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{457}{240000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{409}{1920000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{101}{60000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{69}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{36}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"9/573440000000*sqrt(5)*(2*(4*(8*(4*(16*(4*(24*(140*x - 599)*(5*x + 3) + 175163)*(5*x + 3) - 4295993)*(5*x + 3) + 265620213)*(5*x + 3) - 2676516549)*(5*x + 3) + 35390483373)*(5*x + 3) - 164483997363)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 309625826895*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 99/89600000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1029/12800000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 457/240000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 409/1920000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 101/60000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 69/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 36/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2400,1,446,0,1.163666," ","integrate((1-2*x)^(5/2)*(2+3*x)^2*(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{3}{17920000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{23}{640000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{109}{960000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{341}{4800000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{227}{120000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{21}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{18}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"3/17920000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 23/640000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 109/960000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 341/4800000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 227/120000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 21/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 18/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2401,1,356,0,1.492602," ","integrate((1-2*x)^(5/2)*(2+3*x)*(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{1}{128000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{13}{48000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{137}{9600000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{17}{15000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{3}{400} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/128000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 13/48000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 137/9600000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 17/15000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 3/400*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2402,1,275,0,1.273968," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{1}{9600000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{480000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{59}{120000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{3}{1000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{50} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/9600000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/480000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 59/120000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 3/1000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/50*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2403,1,199,0,1.522452," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x),x, algorithm=""giac"")","\frac{49}{2430} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{1296000} \, {\left(12 \, {\left(8 \, {\left(36 \, \sqrt{5} {\left(5 \, x + 3\right)} - 577 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 23769 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 390869 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{1922677}{15552000} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}"," ",0,"49/2430*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/1296000*(12*(8*(36*sqrt(5)*(5*x + 3) - 577*sqrt(5))*(5*x + 3) + 23769*sqrt(5))*(5*x + 3) - 390869*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 1922677/15552000*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","A",0
2404,1,305,0,2.237919," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^2,x, algorithm=""giac"")","-\frac{161}{972} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{5400} \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} - 151 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 4817 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{326717}{194400} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1078 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{81 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"-161/972*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/5400*(4*(8*sqrt(5)*(5*x + 3) - 151*sqrt(5))*(5*x + 3) + 4817*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 326717/194400*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1078/81*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2405,1,351,0,2.830726," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{389}{1296} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{270} \, {\left(4 \, \sqrt{5} {\left(5 \, x + 3\right)} - 107 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{6829}{3240} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{77 \, \sqrt{10} {\left(41 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{17640 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{70560 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{54 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"389/1296*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/270*(4*sqrt(5)*(5*x + 3) - 107*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 6829/3240*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 77/54*sqrt(10)*(41*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 17640*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 70560*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2406,1,396,0,3.255419," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^4,x, algorithm=""giac"")","-\frac{43}{54432} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{181}{243} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{4}{81} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{11 \, \sqrt{10} {\left(67 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 56000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{65464000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{261856000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{108 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"-43/54432*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 181/243*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 4/81*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 11/108*sqrt(10)*(67*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 56000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 65464000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 261856000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2407,1,435,0,3.409419," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{648919}{3048192} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{20}{243} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{55 \, \sqrt{10} {\left(19447 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 19946472 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 6199166400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{348224576000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{1392898304000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{18144 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"648919/3048192*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 20/243*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 55/18144*sqrt(10)*(19447*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 19946472*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 6199166400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 348224576000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 1392898304000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2408,1,426,0,3.360934," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^6,x, algorithm=""giac"")","\frac{483153}{878080} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{161051 \, \sqrt{10} {\left(3 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 3920 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 2007040 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 307328000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{18439680000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{73758720000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{3136 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"483153/878080*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 161051/3136*sqrt(10)*(3*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 3920*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 2007040*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 307328000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 18439680000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 73758720000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2409,1,484,0,4.275557," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^7,x, algorithm=""giac"")","\frac{8213601}{4917248} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{805255 \, \sqrt{10} {\left(51 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} + 80920 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 59615360 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 14778086400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 1776355840000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{87772876800000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{351091507200000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{87808 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{6}}"," ",0,"8213601/4917248*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 805255/87808*sqrt(10)*(51*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 + 80920*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 59615360*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 14778086400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 1776355840000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 87772876800000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 351091507200000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^6","B",0
2410,1,542,0,5.494697," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^8,x, algorithm=""giac"")","\frac{378308799}{68841472} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{805255 \, \sqrt{10} {\left(2349 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{13} + 4384800 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} - 4393081280 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 1503513804800 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 272402016768000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 26951436288000000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{1131960324096000000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{4527841296384000000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{1229312 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{7}}"," ",0,"378308799/68841472*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 805255/1229312*sqrt(10)*(2349*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^13 + 4384800*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 - 4393081280*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 1503513804800*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 272402016768000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 26951436288000000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 1131960324096000000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 4527841296384000000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^7","B",0
2411,1,653,0,2.070900," ","integrate((1-2*x)^(5/2)*(2+3*x)^3*(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{3}{2293760000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(4 \, {\left(8 \, {\left(28 \, {\left(160 \, x - 779\right)} {\left(5 \, x + 3\right)} + 297993\right)} {\left(5 \, x + 3\right)} - 16954963\right)} {\left(5 \, x + 3\right)} + 311501761\right)} {\left(5 \, x + 3\right)} - 15396301917\right)} {\left(5 \, x + 3\right)} + 129214816941\right)} {\left(5 \, x + 3\right)} - 1465300159701\right)} {\left(5 \, x + 3\right)} + 5967262275723\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10642307691015 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{40960000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(4 \, {\left(24 \, {\left(140 \, x - 599\right)} {\left(5 \, x + 3\right)} + 175163\right)} {\left(5 \, x + 3\right)} - 4295993\right)} {\left(5 \, x + 3\right)} + 265620213\right)} {\left(5 \, x + 3\right)} - 2676516549\right)} {\left(5 \, x + 3\right)} + 35390483373\right)} {\left(5 \, x + 3\right)} - 164483997363\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 309625826895 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{2217}{358400000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{121}{38400000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{15709}{960000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1429}{1920000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{129}{20000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{297}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{108}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"3/2293760000000*sqrt(5)*(2*(4*(8*(4*(16*(4*(8*(28*(160*x - 779)*(5*x + 3) + 297993)*(5*x + 3) - 16954963)*(5*x + 3) + 311501761)*(5*x + 3) - 15396301917)*(5*x + 3) + 129214816941)*(5*x + 3) - 1465300159701)*(5*x + 3) + 5967262275723)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10642307691015*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/40960000000*sqrt(5)*(2*(4*(8*(4*(16*(4*(24*(140*x - 599)*(5*x + 3) + 175163)*(5*x + 3) - 4295993)*(5*x + 3) + 265620213)*(5*x + 3) - 2676516549)*(5*x + 3) + 35390483373)*(5*x + 3) - 164483997363)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 309625826895*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 2217/358400000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 121/38400000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 15709/960000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1429/1920000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 129/20000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 297/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 108/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2412,1,545,0,1.897911," ","integrate((1-2*x)^(5/2)*(2+3*x)^2*(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{3}{114688000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(4 \, {\left(24 \, {\left(140 \, x - 599\right)} {\left(5 \, x + 3\right)} + 175163\right)} {\left(5 \, x + 3\right)} - 4295993\right)} {\left(5 \, x + 3\right)} + 265620213\right)} {\left(5 \, x + 3\right)} - 2676516549\right)} {\left(5 \, x + 3\right)} + 35390483373\right)} {\left(5 \, x + 3\right)} - 164483997363\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 309625826895 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{560000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{937}{7680000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{3083}{960000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{3181}{9600000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{87}{40000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{27}{125} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{54}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"3/114688000000*sqrt(5)*(2*(4*(8*(4*(16*(4*(24*(140*x - 599)*(5*x + 3) + 175163)*(5*x + 3) - 4295993)*(5*x + 3) + 265620213)*(5*x + 3) - 2676516549)*(5*x + 3) + 35390483373)*(5*x + 3) - 164483997363)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 309625826895*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/560000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 937/7680000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 3083/960000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 3181/9600000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 87/40000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 27/125*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 54/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2413,1,446,0,1.790234," ","integrate((1-2*x)^(5/2)*(2+3*x)*(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{1}{3584000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{11}{192000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{19}{192000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1091}{9600000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{111}{40000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{27}{400} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{27}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/3584000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 11/192000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 19/192000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1091/9600000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 111/40000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 27/400*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 27/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2414,1,356,0,1.660918," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{1}{76800000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{2400000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{47}{1920000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{69}{40000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{27}{2000} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{27}{50} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/76800000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/2400000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 47/1920000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 69/40000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 27/2000*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 27/50*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2415,1,212,0,2.269650," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x),x, algorithm=""giac"")","-\frac{49}{7290} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{77760000} \, {\left(12 \, {\left(8 \, {\left(36 \, {\left(48 \, \sqrt{5} {\left(5 \, x + 3\right)} - 713 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 112817 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 655065 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 9971435 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{109715471}{186624000} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}"," ",0,"-49/7290*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/77760000*(12*(8*(36*(48*sqrt(5)*(5*x + 3) - 713*sqrt(5))*(5*x + 3) + 112817*sqrt(5))*(5*x + 3) - 655065*sqrt(5))*(5*x + 3) - 9971435*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 109715471/186624000*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","A",0
2416,1,318,0,3.252148," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{259}{2916} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{777600} \, {\left(12 \, {\left(8 \, {\left(36 \, \sqrt{5} {\left(5 \, x + 3\right)} - 593 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 26185 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 622085 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{660959}{1866240} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1078 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{243 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"259/2916*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/777600*(12*(8*(36*sqrt(5)*(5*x + 3) - 593*sqrt(5))*(5*x + 3) + 26185*sqrt(5))*(5*x + 3) - 622085*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 660959/1866240*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1078/243*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2417,1,364,0,4.163958," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{4387}{11664} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{3240} \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} - 155 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 5245 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{81733}{23328} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{77 \, \sqrt{10} {\left(263 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{92120 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{368480 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{486 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"-4387/11664*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/3240*(4*(8*sqrt(5)*(5*x + 3) - 155*sqrt(5))*(5*x + 3) + 5245*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 81733/23328*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 77/486*sqrt(10)*(263*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 92120*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 368480*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2418,1,409,0,5.138706," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{81733}{163296} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{486} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} - 329 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{21935}{5832} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11 \, \sqrt{10} {\left(2803 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 1982400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{411208000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{1644832000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{324 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"81733/163296*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/486*(12*sqrt(5)*(5*x + 3) - 329*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 21935/5832*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/324*sqrt(10)*(2803*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 1982400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 411208000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 1644832000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2419,1,454,0,6.003318," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^5,x, algorithm=""giac"")","-\frac{660959}{9144576} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{925}{729} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{20}{243} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{55 \, \sqrt{10} {\left(8191 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 7386792 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 2164545600 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{2731201984000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{10924807936000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{54432 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"-660959/9144576*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 925/729*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 20/243*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 55/54432*sqrt(10)*(8191*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 7386792*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 2164545600*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 2731201984000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 10924807936000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2420,1,493,0,5.694290," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^6,x, algorithm=""giac"")","\frac{109715471}{640120320} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{100}{729} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11 \, \sqrt{10} {\left(3248687 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 4238260880 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 2165236899840 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 364930179712000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{12258004702720000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{49032018810880000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{762048 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"109715471/640120320*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 100/729*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/762048*sqrt(10)*(3248687*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 4238260880*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 2165236899840*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 364930179712000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 12258004702720000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 49032018810880000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2421,1,484,0,5.401955," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^7,x, algorithm=""giac"")","\frac{1771561}{4917248} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{8857805 \, \sqrt{10} {\left(3 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} + 4760 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 3104640 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 869299200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 104491520000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{5163110400000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{20652441600000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{263424 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{6}}"," ",0,"1771561/4917248*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 8857805/263424*sqrt(10)*(3*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 + 4760*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 3104640*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 869299200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 104491520000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 5163110400000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 20652441600000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^6","B",0
2422,1,542,0,7.105291," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^8,x, algorithm=""giac"")","\frac{65547757}{68841472} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{8857805 \, \sqrt{10} {\left(111 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{13} + 207200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} + 164185280 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 63583027200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 12872125952000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 1273567232000000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{53489823744000000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{213959294976000000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{3687936 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{7}}"," ",0,"65547757/68841472*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 8857805/3687936*sqrt(10)*(111*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^13 + 207200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 + 164185280*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 63583027200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 12872125952000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 1273567232000000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 53489823744000000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 213959294976000000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^7","B",0
2423,1,600,0,8.607133," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^9,x, algorithm=""giac"")","\frac{21331366001}{7710244864} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{8857805 \, \sqrt{10} {\left(36123 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{15} + 77544040 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{13} + 72311503040 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} - 37368091174400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} - 10615979648512000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 1587382114734080000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 133456146460672000000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{4874050566389760000000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{19496202265559040000000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{413048832 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{8}}"," ",0,"21331366001/7710244864*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 8857805/413048832*sqrt(10)*(36123*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^15 + 77544040*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^13 + 72311503040*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 - 37368091174400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 - 10615979648512000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 1587382114734080000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 133456146460672000000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 4874050566389760000000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 19496202265559040000000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^8","B",0
2424,1,446,0,1.851201," ","integrate((1-2*x)^(5/2)*(2+3*x)^4/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{27}{448000000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, x - 443\right)} {\left(5 \, x + 3\right)} + 94933\right)} {\left(5 \, x + 3\right)} - 7838433\right)} {\left(5 \, x + 3\right)} + 98794353\right)} {\left(5 \, x + 3\right)} - 1568443065\right)} {\left(5 \, x + 3\right)} + 8438816295\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 17534989395 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{640000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{27}{320000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{11}{400000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{13}{15000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{2}{125} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{8}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"27/448000000000*sqrt(5)*(2*(4*(8*(4*(16*(20*(120*x - 443)*(5*x + 3) + 94933)*(5*x + 3) - 7838433)*(5*x + 3) + 98794353)*(5*x + 3) - 1568443065)*(5*x + 3) + 8438816295)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 17534989395*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/640000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 27/320000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 11/400000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 13/15000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 2/125*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 8/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2425,1,356,0,1.596731," ","integrate((1-2*x)^(5/2)*(2+3*x)^3/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{9}{3200000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x - 311\right)} {\left(5 \, x + 3\right)} + 46071\right)} {\left(5 \, x + 3\right)} - 775911\right)} {\left(5 \, x + 3\right)} + 15385695\right)} {\left(5 \, x + 3\right)} - 99422145\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 220189365 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{9}{80000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{3}{640000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{29}{60000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{4}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"9/3200000000*sqrt(5)*(2*(4*(8*(4*(16*(100*x - 311)*(5*x + 3) + 46071)*(5*x + 3) - 775911)*(5*x + 3) + 15385695)*(5*x + 3) - 99422145)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 220189365*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 9/80000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 3/640000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 29/60000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 4/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2426,1,275,0,1.441139," ","integrate((1-2*x)^(5/2)*(2+3*x)^2/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{3}{80000000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(12 \, {\left(80 \, x - 203\right)} {\left(5 \, x + 3\right)} + 19073\right)} {\left(5 \, x + 3\right)} - 506185\right)} {\left(5 \, x + 3\right)} + 4031895\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 10392195 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{800000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{23}{120000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{2}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"3/80000000*sqrt(5)*(2*(4*(8*(12*(80*x - 203)*(5*x + 3) + 19073)*(5*x + 3) - 506185)*(5*x + 3) + 4031895)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 10392195*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/800000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 23/120000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 2/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2427,1,203,0,1.418043," ","integrate((1-2*x)^(5/2)*(2+3*x)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{800000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(60 \, x - 119\right)} {\left(5 \, x + 3\right)} + 6163\right)} {\left(5 \, x + 3\right)} - 66189\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 184305 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1}{30000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1}{400} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{25} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/800000*sqrt(5)*(2*(4*(8*(60*x - 119)*(5*x + 3) + 6163)*(5*x + 3) - 66189)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 184305*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1/30000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1/400*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/25*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2428,1,140,0,1.346700," ","integrate((1-2*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{30000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x - 59\right)} {\left(5 \, x + 3\right)} + 1293\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + 4785 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} - \frac{1}{500} \, \sqrt{5} {\left(2 \, {\left(20 \, x - 23\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 143 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)} + \frac{1}{50} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/30000*sqrt(5)*(2*(4*(40*x - 59)*(5*x + 3) + 1293)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 4785*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) - 1/500*sqrt(5)*(2*(20*x - 23)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 143*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))) + 1/50*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","B",0
2429,1,173,0,1.744739," ","integrate((1-2*x)^(5/2)/(2+3*x)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{49}{270} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{2250} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} - 305 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{17687}{27000} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}"," ",0,"49/270*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/2250*(12*sqrt(5)*(5*x + 3) - 305*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 17687/27000*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","B",0
2430,1,279,0,2.174494," ","integrate((1-2*x)^(5/2)/(2+3*x)^2/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{35}{108} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{173}{675} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{4}{225} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{1078 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{9 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"35/108*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 173/675*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 4/225*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 1078/9*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2431,1,324,0,2.351268," ","integrate((1-2*x)^(5/2)/(2+3*x)^3/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{607}{432} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{4}{135} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{77 \, {\left(157 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 25480 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{18 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"607/432*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 4/135*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 77/18*(157*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 25480*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2432,1,310,0,2.634349," ","integrate((1-2*x)^(5/2)/(2+3*x)^4/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1331}{224} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1331 \, \sqrt{10} {\left(33 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 11200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{1176000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{4704000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{12 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"1331/224*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1331/12*sqrt(10)*(33*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 11200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 1176000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4704000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2433,1,368,0,3.250715," ","integrate((1-2*x)^(5/2)/(2+3*x)^5/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{328757}{12544} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{6655 \, \sqrt{10} {\left(1947 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 1009736 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 213012800 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{16266432000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{65065728000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{672 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"328757/12544*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 6655/672*sqrt(10)*(1947*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 1009736*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 213012800*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 16266432000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 65065728000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2434,1,426,0,4.078053," ","integrate((1-2*x)^(5/2)/(2+3*x)^6/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{104040277}{878080} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1331 \, \sqrt{10} {\left(706299 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 493892560 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 156884295680 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 24022907776000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{1441374466560000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{5765497866240000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{9408 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"104040277/878080*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1331/9408*sqrt(10)*(706299*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 493892560*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 156884295680*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 24022907776000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 1441374466560000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 5765497866240000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2435,1,484,0,5.054755," ","integrate((1-2*x)^(5/2)/(2+3*x)^7/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{2678359321}{4917248} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{6655 \, \sqrt{10} {\left(20305527 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} + 17887837240 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 7599643632000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 1749282956467200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 210267345272320000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{10389680589926400000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{41558722359705600000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{263424 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{6}}"," ",0,"2678359321/4917248*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 6655/263424*sqrt(10)*(20305527*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 + 17887837240*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 7599643632000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 1749282956467200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 210267345272320000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 10389680589926400000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 41558722359705600000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^6","B",0
2436,1,163,0,2.377147," ","integrate((1-2*x)^(5/2)*(2+3*x)^4/(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{1}{8000000000} \, {\left(4 \, {\left(8 \, {\left(108 \, {\left(16 \, {\left(20 \, \sqrt{5} {\left(5 \, x + 3\right)} - 243 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 9263 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 2532859 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 3473645 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 533500275 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{1298595837}{3200000000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{121 \, \sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{781250 \, \sqrt{5 \, x + 3}} + \frac{242 \, \sqrt{10} \sqrt{5 \, x + 3}}{390625 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"1/8000000000*(4*(8*(108*(16*(20*sqrt(5)*(5*x + 3) - 243*sqrt(5))*(5*x + 3) + 9263*sqrt(5))*(5*x + 3) + 2532859*sqrt(5))*(5*x + 3) + 3473645*sqrt(5))*(5*x + 3) - 533500275*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 1298595837/3200000000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 121/781250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 242/390625*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2437,1,150,0,2.171824," ","integrate((1-2*x)^(5/2)*(2+3*x)^3/(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{1}{200000000} \, {\left(4 \, {\left(24 \, {\left(36 \, {\left(16 \, \sqrt{5} {\left(5 \, x + 3\right)} - 211 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 22859 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 969335 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 5816745 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{24319911}{80000000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{121 \, \sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{156250 \, \sqrt{5 \, x + 3}} + \frac{242 \, \sqrt{10} \sqrt{5 \, x + 3}}{78125 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"1/200000000*(4*(24*(36*(16*sqrt(5)*(5*x + 3) - 211*sqrt(5))*(5*x + 3) + 22859*sqrt(5))*(5*x + 3) + 969335*sqrt(5))*(5*x + 3) - 5816745*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 24319911/80000000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 121/156250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 242/78125*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2438,1,137,0,1.918805," ","integrate((1-2*x)^(5/2)*(2+3*x)^2/(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{1}{2000000} \, {\left(4 \, {\left(8 \, {\left(36 \, \sqrt{5} {\left(5 \, x + 3\right)} - 529 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 16905 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 61545 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{236313}{800000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{121 \, \sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{31250 \, \sqrt{5 \, x + 3}} + \frac{242 \, \sqrt{10} \sqrt{5 \, x + 3}}{15625 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"1/2000000*(4*(8*(36*sqrt(5)*(5*x + 3) - 529*sqrt(5))*(5*x + 3) + 16905*sqrt(5))*(5*x + 3) + 61545*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 236313/800000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 121/31250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 242/15625*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2439,1,124,0,1.767585," ","integrate((1-2*x)^(5/2)*(2+3*x)/(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{1}{25000} \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} - 139 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 3597 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{2541}{10000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{121 \, \sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{6250 \, \sqrt{5 \, x + 3}} + \frac{242 \, \sqrt{10} \sqrt{5 \, x + 3}}{3125 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"1/25000*(4*(8*sqrt(5)*(5*x + 3) - 139*sqrt(5))*(5*x + 3) + 3597*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 2541/10000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 121/6250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 242/3125*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2440,1,111,0,1.629867," ","integrate((1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{1}{1250} \, {\left(4 \, \sqrt{5} {\left(5 \, x + 3\right)} - 99 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{363}{500} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{121 \, \sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{1250 \, \sqrt{5 \, x + 3}} + \frac{242 \, \sqrt{10} \sqrt{5 \, x + 3}}{625 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"1/1250*(4*sqrt(5)*(5*x + 3) - 99*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 363/500*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 121/1250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 242/625*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2441,1,219,0,1.860589," ","integrate((1-2*x)^(5/2)/(2+3*x)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{49}{90} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{169}{1125} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{4}{375} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{121}{250} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}"," ",0,"-49/90*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 169/1125*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 4/375*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 121/250*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))","B",0
2442,1,319,0,2.099991," ","integrate((1-2*x)^(5/2)/(2+3*x)^2/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{133}{36} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{4}{225} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{121}{50} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{1078 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{3 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"-133/36*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 4/225*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 121/50*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 1078/3*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2443,1,311,0,2.454827," ","integrate((1-2*x)^(5/2)/(2+3*x)^3/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{363}{16} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{121}{10} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{847 \, \sqrt{10} {\left(9 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{1960 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{7840 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{2 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"-363/16*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 121/10*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 847/2*sqrt(10)*(9*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 1960*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 7840*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2444,1,377,0,3.268404," ","integrate((1-2*x)^(5/2)/(2+3*x)^4/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{29403}{224} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{121}{2} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{121 \, {\left(993 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 436800 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 51352000 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{4 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"-29403/224*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 121/2*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 121/4*(993*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 436800*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 51352000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2445,1,438,0,4.519578," ","integrate((1-2*x)^(5/2)/(2+3*x)^5/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{9219111}{12544} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{605}{2} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{605 \, {\left(77025 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 51138136 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 12067876800 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 984130112000 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{224 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"-9219111/12544*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 605/2*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 605/224*(77025*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 51138136*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 12067876800*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 984130112000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2446,1,499,0,6.020344," ","integrate((1-2*x)^(5/2)/(2+3*x)^6/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{3538809681}{878080} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{3025}{2} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{121 \, {\left(34728039 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 30879615760 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 10961021460480 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 1791349451136000 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 112299870108160000 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{3136 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"-3538809681/878080*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 3025/2*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 121/3136*(34728039*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 30879615760*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 10961021460480*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 1791349451136000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 112299870108160000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2447,1,210,0,2.636213," ","integrate((1-2*x)^(5/2)*(2+3*x)^4/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{1}{1000000000} \, {\left(12 \, {\left(24 \, {\left(12 \, {\left(48 \, \sqrt{5} {\left(5 \, x + 3\right)} - 613 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 19439 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 1264235 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 10674335 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{11}{18750000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{3060 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{88296593}{400000000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{11 \, \sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{765 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{1171875 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"1/1000000000*(12*(24*(12*(48*sqrt(5)*(5*x + 3) - 613*sqrt(5))*(5*x + 3) + 19439*sqrt(5))*(5*x + 3) + 1264235*sqrt(5))*(5*x + 3) - 10674335*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 11/18750000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 3060*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 88296593/400000000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 11/1171875*sqrt(10)*(5*x + 3)^(3/2)*(765*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","A",0
2448,1,197,0,2.247670," ","integrate((1-2*x)^(5/2)*(2+3*x)^3/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{1}{10000000} \, {\left(36 \, {\left(24 \, {\left(4 \, \sqrt{5} {\left(5 \, x + 3\right)} - 57 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 4915 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 338795 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{11}{3750000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{2268 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{766843}{4000000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{11 \, \sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{567 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{234375 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"1/10000000*(36*(24*(4*sqrt(5)*(5*x + 3) - 57*sqrt(5))*(5*x + 3) + 4915*sqrt(5))*(5*x + 3) + 338795*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 11/3750000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 2268*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 766843/4000000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 11/234375*sqrt(10)*(5*x + 3)^(3/2)*(567*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","A",0
2449,1,184,0,2.139286," ","integrate((1-2*x)^(5/2)*(2+3*x)^2/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{1}{125000} \, {\left(12 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} - 135 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 9635 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{11}{750000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{1476 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{3619}{50000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{11 \, \sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{369 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{46875 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"1/125000*(12*(8*sqrt(5)*(5*x + 3) - 135*sqrt(5))*(5*x + 3) + 9635*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 11/750000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 1476*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 3619/50000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 11/46875*sqrt(10)*(5*x + 3)^(3/2)*(369*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","A",0
2450,1,171,0,1.858303," ","integrate((1-2*x)^(5/2)*(2+3*x)/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{1}{6250} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} - 289 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{11}{150000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{684 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{1001}{2500} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{11 \, \sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{171 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{9375 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"1/6250*(12*sqrt(5)*(5*x + 3) - 289*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 11/150000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 684*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 1001/2500*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 11/9375*sqrt(10)*(5*x + 3)^(3/2)*(171*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2451,1,158,0,1.701219," ","integrate((1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{11}{30000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} - \frac{108 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{4}{625} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{22}{125} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{11 \, \sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{27 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{1875 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-11/30000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) - 108*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 4/625*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 22/125*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 11/1875*sqrt(10)*(5*x + 3)^(3/2)*(27*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2452,1,257,0,2.079368," ","integrate((1-2*x)^(5/2)/(2+3*x)/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{49}{30} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{4}{375} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11}{6000} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{888 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{3552 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}"," ",0,"49/30*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 4/375*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/6000*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 888*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 3552*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))","B",0
2453,1,309,0,2.431674," ","integrate((1-2*x)^(5/2)/(2+3*x)^2/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{77}{4} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11}{1200} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{1680 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{6720 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{1078 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{{\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280}"," ",0,"77/4*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/1200*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 1680*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 6720*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 1078*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2454,1,373,0,2.972817," ","integrate((1-2*x)^(5/2)/(2+3*x)^3/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{2629}{16} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11}{240} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{2472 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{9888 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{77 \, {\left(437 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 103880 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{2 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"2629/16*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/240*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 2472*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 9888*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 77/2*(437*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 103880*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2455,1,434,0,4.114529," ","integrate((1-2*x)^(5/2)/(2+3*x)^4/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{272239}{224} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11}{48} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{3264 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{13056 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{11 \, {\left(63359 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 30251200 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 3730664000 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{4 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"272239/224*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/48*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 3264*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 13056*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 11/4*(63359*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 30251200*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 3730664000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2456,1,495,0,5.629340," ","integrate((1-2*x)^(5/2)/(2+3*x)^5/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{103884253}{12544} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{55}{48} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{4056 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{16224 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{55 \, {\left(6089929 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 4375094808 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 1081495934400 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 90973105216000 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{224 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"103884253/12544*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 55/48*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 4056*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 16224*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 55/224*(6089929*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 4375094808*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 1081495934400*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 90973105216000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2457,1,556,0,8.390570," ","integrate((1-2*x)^(5/2)/(2+3*x)^6/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{46975917593}{878080} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{275}{48} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{4848 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{19392 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{11 \, {\left(3277500437 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 3147123544880 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 1168996576419840 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 196941720284288000 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 12621260024737280000 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{3136 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"46975917593/878080*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 275/48*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 4848*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 19392*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 11/3136*(3277500437*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 3147123544880*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 1168996576419840*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 196941720284288000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 12621260024737280000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2458,1,72,0,1.298404," ","integrate((2+3*x)^4*(3+5*x)^(1/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{128000000} \, \sqrt{5} {\left(2 \, {\left(12 \, {\left(24 \, {\left(12 \, {\left(240 \, x + 521\right)} {\left(5 \, x + 3\right)} + 29669\right)} {\left(5 \, x + 3\right)} + 4900505\right)} {\left(5 \, x + 3\right)} + 485160235\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 5336762585 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/128000000*sqrt(5)*(2*(12*(24*(12*(240*x + 521)*(5*x + 3) + 29669)*(5*x + 3) + 4900505)*(5*x + 3) + 485160235)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 5336762585*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2459,1,63,0,1.335357," ","integrate((2+3*x)^3*(3+5*x)^(1/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{1280000} \, \sqrt{5} {\left(2 \, {\left(36 \, {\left(24 \, {\left(20 \, x + 43\right)} {\left(5 \, x + 3\right)} + 5179\right)} {\left(5 \, x + 3\right)} + 1538675\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 16925425 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/1280000*sqrt(5)*(2*(36*(24*(20*x + 43)*(5*x + 3) + 5179)*(5*x + 3) + 1538675)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 16925425*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2460,1,54,0,1.289707," ","integrate((2+3*x)^2*(3+5*x)^(1/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{16000} \, \sqrt{5} {\left(2 \, {\left(12 \, {\left(40 \, x + 87\right)} {\left(5 \, x + 3\right)} + 6269\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 68959 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/16000*sqrt(5)*(2*(12*(40*x + 87)*(5*x + 3) + 6269)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 68959*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2461,1,45,0,1.120398," ","integrate((2+3*x)*(3+5*x)^(1/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{800} \, \sqrt{5} {\left(2 \, {\left(60 \, x + 143\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 1177 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/800*sqrt(5)*(2*(60*x + 143)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 1177*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2462,1,40,0,1.290163," ","integrate((3+5*x)^(1/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{20} \, \sqrt{5} {\left(11 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - 2 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/20*sqrt(5)*(11*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 2*sqrt(5*x + 3)*sqrt(-10*x + 5))","A",0
2463,1,141,0,1.565249," ","integrate((3+5*x)^(1/2)/(2+3*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{210} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{1}{6} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}"," ",0,"-1/210*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/6*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","B",0
2464,1,193,0,1.712347," ","integrate((3+5*x)^(1/2)/(2+3*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{11}{980} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{22 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{7 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"11/980*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 22/7*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2465,1,252,0,2.023016," ","integrate((3+5*x)^(1/2)/(2+3*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{451}{27440} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11 \, \sqrt{10} {\left(41 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{7000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{28000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{98 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"451/27440*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/98*sqrt(10)*(41*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 7000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 28000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2466,1,310,0,2.502901," ","integrate((3+5*x)^(1/2)/(2+3*x)^4/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{3047}{76832} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{55 \, \sqrt{10} {\left(277 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 159040 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{20713280 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{82853120 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{1372 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"3047/76832*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 55/1372*sqrt(10)*(277*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 159040*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 20713280*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 82853120*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2467,1,368,0,3.225603," ","integrate((3+5*x)^(1/2)/(2+3*x)^5/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{75053}{614656} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{55 \, \sqrt{10} {\left(6823 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 7629720 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 1915892160 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{149136243200 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{596544972800 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{10976 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"75053/614656*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 55/10976*sqrt(10)*(6823*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 7629720*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 1915892160*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 149136243200*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 596544972800*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2468,1,72,0,1.297353," ","integrate((2+3*x)^3*(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{25600000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(24 \, {\left(36 \, {\left(80 \, x + 167\right)} {\left(5 \, x + 3\right)} + 27809\right)} {\left(5 \, x + 3\right)} + 4589765\right)} {\left(5 \, x + 3\right)} + 151462245\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 1666084695 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/25600000*sqrt(5)*(2*(4*(24*(36*(80*x + 167)*(5*x + 3) + 27809)*(5*x + 3) + 4589765)*(5*x + 3) + 151462245)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 1666084695*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2469,1,63,0,1.254076," ","integrate((2+3*x)^2*(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{256000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(180 \, x + 371\right)} {\left(5 \, x + 3\right)} + 14529\right)} {\left(5 \, x + 3\right)} + 479457\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 5274027 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/256000*sqrt(5)*(2*(4*(8*(180*x + 371)*(5*x + 3) + 14529)*(5*x + 3) + 479457)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 5274027*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2470,1,54,0,1.324530," ","integrate((2+3*x)*(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{3200} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x + 83\right)} {\left(5 \, x + 3\right)} + 1947\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 21417 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/3200*sqrt(5)*(2*(4*(40*x + 83)*(5*x + 3) + 1947)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 21417*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2471,1,45,0,1.266889," ","integrate((3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{160} \, \sqrt{5} {\left(10 \, \sqrt{5 \, x + 3} {\left(4 \, x + 9\right)} \sqrt{-10 \, x + 5} - 363 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/160*sqrt(5)*(10*sqrt(5*x + 3)*(4*x + 9)*sqrt(-10*x + 5) - 363*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2472,1,160,0,2.226228," ","integrate((3+5*x)^(3/2)/(2+3*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{630} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{29}{72} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{6} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}"," ",0,"1/630*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 29/72*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/6*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)","B",0
2473,1,260,0,2.107272," ","integrate((3+5*x)^(3/2)/(2+3*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{103}{8820} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{5}{18} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{22 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{21 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"-103/8820*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 5/18*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 22/21*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2474,1,252,0,1.771172," ","integrate((3+5*x)^(3/2)/(2+3*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{363}{27440} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{121 \, \sqrt{10} {\left(3 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{1400 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{5600 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{98 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"363/27440*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 121/98*sqrt(10)*(3*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 1400*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 5600*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2475,1,310,0,2.072713," ","integrate((3+5*x)^(3/2)/(2+3*x)^4/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1089}{76832} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{605 \, \sqrt{10} {\left(9 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 6720 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{203840 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{815360 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{1372 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"1089/76832*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 605/1372*sqrt(10)*(9*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 6720*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 203840*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 815360*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2476,1,368,0,2.577396," ","integrate((3+5*x)^(3/2)/(2+3*x)^5/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{15609}{614656} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{605 \, \sqrt{10} {\left(129 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 132440 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 21026880 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{2510681600 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{10042726400 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{10976 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"15609/614656*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 605/10976*sqrt(10)*(129*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 132440*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 21026880*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 2510681600*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 10042726400*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2477,1,426,0,3.365068," ","integrate((3+5*x)^(3/2)/(2+3*x)^6/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{2664057}{43025920} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{121 \, \sqrt{10} {\left(22017 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 28768880 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 9856573440 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 2123818368000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{133530503680000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{534122014720000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{153664 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"2664057/43025920*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 121/153664*sqrt(10)*(22017*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 28768880*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 9856573440*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 2123818368000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 133530503680000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 534122014720000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2478,1,81,0,1.103028," ","integrate((2+3*x)^3*(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{122880000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(108 \, {\left(16 \, {\left(20 \, x + 41\right)} {\left(5 \, x + 3\right)} + 2903\right)} {\left(5 \, x + 3\right)} + 2012291\right)} {\left(5 \, x + 3\right)} + 110676005\right)} {\left(5 \, x + 3\right)} + 3652308165\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 40175389815 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/122880000*sqrt(5)*(2*(4*(8*(108*(16*(20*x + 41)*(5*x + 3) + 2903)*(5*x + 3) + 2012291)*(5*x + 3) + 110676005)*(5*x + 3) + 3652308165)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 40175389815*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2479,1,72,0,1.103032," ","integrate((2+3*x)^2*(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{15360000} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(36 \, {\left(240 \, x + 481\right)} {\left(5 \, x + 3\right)} + 78167\right)} {\left(5 \, x + 3\right)} + 4299185\right)} {\left(5 \, x + 3\right)} + 141873105\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 1560604155 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/15360000*sqrt(5)*(2*(4*(8*(36*(240*x + 481)*(5*x + 3) + 78167)*(5*x + 3) + 4299185)*(5*x + 3) + 141873105)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 1560604155*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2480,1,63,0,1.113514," ","integrate((2+3*x)*(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{30720} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(8 \, {\left(36 \, x + 71\right)} {\left(5 \, x + 3\right)} + 2717\right)} {\left(5 \, x + 3\right)} + 89661\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 986271 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/30720*sqrt(5)*(2*(4*(8*(36*x + 71)*(5*x + 3) + 2717)*(5*x + 3) + 89661)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 986271*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2481,1,54,0,1.012693," ","integrate((3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{1920} \, \sqrt{5} {\left(2 \, {\left(4 \, {\left(40 \, x + 79\right)} {\left(5 \, x + 3\right)} + 1815\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 19965 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/1920*sqrt(5)*(2*(4*(40*x + 79)*(5*x + 3) + 1815)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 19965*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2482,1,173,0,1.566241," ","integrate((3+5*x)^(5/2)/(2+3*x)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{1890} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{144} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} + 91 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{3035}{1728} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}"," ",0,"-1/1890*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/144*(12*sqrt(5)*(5*x + 3) + 91*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 3035/1728*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","B",0
2483,1,279,0,1.600711," ","integrate((3+5*x)^(5/2)/(2+3*x)^2/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{173}{26460} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{125}{216} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{5}{18} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{22 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{63 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"173/26460*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 125/216*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 5/18*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 22/63*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2484,1,319,0,2.047661," ","integrate((3+5*x)^(5/2)/(2+3*x)^3/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{17687}{740880} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{25}{54} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{11 \, \sqrt{10} {\left(239 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{85400 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{341600 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{882 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"-17687/740880*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 25/54*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 11/882*sqrt(10)*(239*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 85400*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 341600*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2485,1,310,0,2.147289," ","integrate((3+5*x)^(5/2)/(2+3*x)^4/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1331}{76832} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{6655 \, \sqrt{10} {\left(3 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 2240 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{517440 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{2069760 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{4116 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"1331/76832*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 6655/4116*sqrt(10)*(3*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 2240*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 517440*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 2069760*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2486,1,368,0,2.748119," ","integrate((3+5*x)^(5/2)/(2+3*x)^5/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1331}{87808} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{6655 \, \sqrt{10} {\left(3 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 3080 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 1144640 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{2956800 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{11827200 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{4704 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"1331/87808*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 6655/4704*sqrt(10)*(3*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 3080*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 1144640*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 2956800*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 11827200*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2487,1,426,0,3.255149," ","integrate((3+5*x)^(5/2)/(2+3*x)^6/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{933031}{43025920} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1331 \, \sqrt{10} {\left(2103 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 2747920 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 1406935040 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 74141312000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{10228753920000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{40915015680000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{460992 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"933031/43025920*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1331/460992*sqrt(10)*(2103*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 2747920*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 1406935040*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 74141312000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 10228753920000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 40915015680000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2488,1,484,0,4.635439," ","integrate((3+5*x)^(5/2)/(2+3*x)^7/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{52573169}{1204725760} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1331 \, \sqrt{10} {\left(118497 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{11} + 188015240 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 122630175360 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 17238395059200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 3670540357120000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{197895383347200000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{791581533388800000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{12907776 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{6}}"," ",0,"52573169/1204725760*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1331/12907776*sqrt(10)*(118497*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^11 + 188015240*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 122630175360*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 17238395059200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 3670540357120000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 197895383347200000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 791581533388800000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^6","B",0
2489,1,63,0,1.009525," ","integrate((2+3*x)^4/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{6400000} \, \sqrt{5} {\left(6 \, {\left(12 \, {\left(8 \, {\left(180 \, x + 403\right)} {\left(5 \, x + 3\right)} + 16609\right)} {\left(5 \, x + 3\right)} + 1646339\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 54331235 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/6400000*sqrt(5)*(6*(12*(8*(180*x + 403)*(5*x + 3) + 16609)*(5*x + 3) + 1646339)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 54331235*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2490,1,54,0,0.850411," ","integrate((2+3*x)^3/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{80000} \, \sqrt{5} {\left(18 \, {\left(4 \, {\left(40 \, x + 91\right)} {\left(5 \, x + 3\right)} + 2243\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 222185 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/80000*sqrt(5)*(18*(4*(40*x + 91)*(5*x + 3) + 2243)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 222185*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2491,1,45,0,1.011147," ","integrate((2+3*x)^2/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{4000} \, \sqrt{5} {\left(6 \, {\left(60 \, x + 151\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - 3827 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)\right)}"," ",0,"-1/4000*sqrt(5)*(6*(60*x + 151)*sqrt(5*x + 3)*sqrt(-10*x + 5) - 3827*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)))","A",0
2492,1,40,0,0.991902," ","integrate((2+3*x)/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{100} \, \sqrt{5} {\left(37 \, \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - 6 \, \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}\right)}"," ",0,"1/100*sqrt(5)*(37*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 6*sqrt(5*x + 3)*sqrt(-10*x + 5))","A",0
2493,1,21,0,0.929111," ","integrate(1/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{5} \, \sqrt{5} \sqrt{2} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right)"," ",0,"1/5*sqrt(5)*sqrt(2)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3))","A",0
2494,1,73,0,1.054710," ","integrate(1/(2+3*x)/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1}{70} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)}"," ",0,"1/70*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))","B",0
2495,1,193,0,1.331690," ","integrate(1/(2+3*x)^2/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{37}{980} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{66 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{7 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"37/980*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 66/7*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2496,1,252,0,1.449473," ","integrate(1/(2+3*x)^3/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{3827}{27440} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{33 \, \sqrt{10} {\left(181 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{32200 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{128800 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{98 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"3827/27440*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 33/98*sqrt(10)*(181*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 32200*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 128800*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2497,1,310,0,1.843723," ","integrate(1/(2+3*x)^4/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{44437}{76832} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{495 \, \sqrt{10} {\left(937 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 333760 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{35170240 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{140680960 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{1372 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"44437/76832*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 495/1372*sqrt(10)*(937*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 333760*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 35170240*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 140680960*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2498,1,124,0,1.315726," ","integrate((2+3*x)^4/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{27}{200000} \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + 71 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 2407 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{143283}{80000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{68750 \, \sqrt{5 \, x + 3}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{34375 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-27/200000*(4*(8*sqrt(5)*(5*x + 3) + 71*sqrt(5))*(5*x + 3) + 2407*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 143283/80000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/68750*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2/34375*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2499,1,111,0,1.102542," ","integrate((2+3*x)^3/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{27}{10000} \, {\left(4 \, \sqrt{5} {\left(5 \, x + 3\right)} + 41 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{2493}{4000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{13750 \, \sqrt{5 \, x + 3}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{6875 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-27/10000*(4*sqrt(5)*(5*x + 3) + 41*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) + 2493/4000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/13750*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2/6875*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2500,1,98,0,1.226793," ","integrate((2+3*x)^2/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{9}{250} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{123}{500} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{2750 \, \sqrt{5 \, x + 3}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{1375 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-9/250*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 123/500*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/2750*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2/1375*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2501,1,79,0,1.092031," ","integrate((2+3*x)/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{3}{25} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{550 \, \sqrt{5 \, x + 3}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{275 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"3/25*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/550*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2/275*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","B",0
2502,1,61,0,1.006264," ","integrate(1/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{110 \, \sqrt{5 \, x + 3}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{55 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-1/110*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2/55*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","B",0
2503,1,133,0,1.106068," ","integrate(1/(2+3*x)/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{3}{70} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{22} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}"," ",0,"-3/70*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/22*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))","B",0
2504,1,252,0,1.467145," ","integrate(1/(2+3*x)^2/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{321}{980} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{5}{22} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{198 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{7 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"-321/980*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 5/22*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 198/7*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2505,1,316,0,1.784766," ","integrate(1/(2+3*x)^3/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{56421}{27440} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{25}{22} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{297 \, {\left(107 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 23800 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{98 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"-56421/27440*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 25/22*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 297/98*(107*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 23800*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2506,1,377,0,2.554802," ","integrate(1/(2+3*x)^4/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{923205}{76832} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{125}{22} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{7425 \, {\left(487 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 217280 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 25693248 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{1372 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"-923205/76832*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 125/22*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 7425/1372*(487*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 217280*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 25693248*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2507,1,184,0,1.304465," ","integrate((2+3*x)^5/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{27}{1000000} \, {\left(12 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + 75 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 7745 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{1}{90750000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{3996 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{462357}{400000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{999 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{5671875 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-27/1000000*(12*(8*sqrt(5)*(5*x + 3) + 75*sqrt(5))*(5*x + 3) + 7745*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 1/90750000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 3996*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 462357/400000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/5671875*sqrt(10)*(5*x + 3)^(3/2)*(999*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","A",0
2508,1,171,0,1.180897," ","integrate((2+3*x)^4/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{27}{50000} \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} + 131 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} - \frac{1}{18150000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{3204 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{8127}{20000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{801 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{1134375 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-27/50000*(12*sqrt(5)*(5*x + 3) + 131*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5) - 1/18150000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 3204*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 8127/20000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/1134375*sqrt(10)*(5*x + 3)^(3/2)*(801*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","A",0
2509,1,158,0,1.141462," ","integrate((2+3*x)^3/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{3630000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{2412 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{27}{1250} \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5} + \frac{81}{500} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{603 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{226875 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/3630000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 2412*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 27/1250*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5) + 81/500*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/226875*sqrt(10)*(5*x + 3)^(3/2)*(603*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2510,1,139,0,1.319071," ","integrate((2+3*x)^2/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{726000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{1620 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{9}{125} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{405 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{45375 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/726000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 1620*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 9/125*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/45375*sqrt(10)*(5*x + 3)^(3/2)*(405*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2511,1,121,0,0.963135," ","integrate((2+3*x)/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{145200} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{828 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{207 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{9075 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/145200*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 828*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 1/9075*sqrt(10)*(5*x + 3)^(3/2)*(207*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2512,1,121,0,0.865642," ","integrate(1/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{29040} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{36 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{9 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{1815 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/29040*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 36*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 1/1815*sqrt(10)*(5*x + 3)^(3/2)*(9*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2513,1,190,0,0.964704," ","integrate(1/(2+3*x)/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{9}{70} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1}{5808} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{744 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{2976 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}"," ",0,"9/70*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1/5808*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 744*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2976*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))","B",0
2514,1,309,0,1.612968," ","integrate(1/(2+3*x)^2/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{1593}{980} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{5}{5808} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{1536 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{6144 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{594 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{7 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"1593/980*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 5/5808*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 1536*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 6144*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 594/7*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2515,1,373,0,1.837496," ","integrate(1/(2+3*x)^3/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{392283}{27440} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{25}{5808} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{2328 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{9312 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{297 \, {\left(461 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 110600 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{98 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"392283/27440*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 25/5808*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 2328*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 9312*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 297/98*(461*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 110600*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2516,1,434,0,3.213101," ","integrate(1/(2+3*x)^4/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\frac{8261577}{76832} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{125}{5808} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{3120 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{12480 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{1485 \, {\left(13759 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 6614720 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 818950720 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{1372 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"8261577/76832*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 125/5808*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 3120*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 12480*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 1485/1372*(13759*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 6614720*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 818950720*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2517,1,96,0,0.893635," ","integrate(1/(f*x+e)/(b*x+a)^(1/2)/(b*f*x-a*f+2*b*e)^(1/2),x, algorithm=""giac"")","-\frac{2 \, f^{\frac{3}{2}} \arctan\left(\frac{{\left(\sqrt{b f x - a f + 2 \, b e} \sqrt{f} - \sqrt{2 \, a f^{2} - 2 \, b f e + {\left(b f x - a f + 2 \, b e\right)} f}\right)}^{2}}{2 \, {\left(a f^{2} - b f e\right)}}\right)}{{\left(a f^{2} - b f e\right)} {\left| f \right|}}"," ",0,"-2*f^(3/2)*arctan(1/2*(sqrt(b*f*x - a*f + 2*b*e)*sqrt(f) - sqrt(2*a*f^2 - 2*b*f*e + (b*f*x - a*f + 2*b*e)*f))^2/(a*f^2 - b*f*e))/((a*f^2 - b*f*e)*abs(f))","A",0
2518,1,110,0,0.998364," ","integrate((2+3*x)^5*(3+5*x)^(1/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{35439958001}{51200000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(6 \, {\left(12 \, {\left(8 \, {\left(36 \, {\left(48 \, \sqrt{5} {\left(5 \, x + 3\right)} + 463 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 140711 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 10847547 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 1789896455 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 177199790005 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{640000000 \, {\left(2 \, x - 1\right)}}"," ",0,"-35439958001/51200000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/640000000*(6*(12*(8*(36*(48*sqrt(5)*(5*x + 3) + 463*sqrt(5))*(5*x + 3) + 140711*sqrt(5))*(5*x + 3) + 10847547*sqrt(5))*(5*x + 3) + 1789896455*sqrt(5))*(5*x + 3) - 177199790005*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2519,1,97,0,0.991072," ","integrate((2+3*x)^4*(3+5*x)^(1/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{92108287}{512000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(6 \, {\left(12 \, {\left(8 \, {\left(36 \, \sqrt{5} {\left(5 \, x + 3\right)} + 361 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 28181 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 4651913 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 460541435 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{6400000 \, {\left(2 \, x - 1\right)}}"," ",0,"-92108287/512000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/6400000*(6*(12*(8*(36*sqrt(5)*(5*x + 3) + 361*sqrt(5))*(5*x + 3) + 28181*sqrt(5))*(5*x + 3) + 4651913*sqrt(5))*(5*x + 3) - 460541435*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2520,1,84,0,1.005875," ","integrate((2+3*x)^3*(3+5*x)^(1/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{1463447}{32000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(18 \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + 89 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 4927 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 1463447 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{80000 \, {\left(2 \, x - 1\right)}}"," ",0,"-1463447/32000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/80000*(18*(4*(8*sqrt(5)*(5*x + 3) + 89*sqrt(5))*(5*x + 3) + 4927*sqrt(5))*(5*x + 3) - 1463447*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2521,1,71,0,0.981479," ","integrate((2+3*x)^2*(3+5*x)^(1/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{17951}{1600} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(6 \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} + 181 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 17951 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{4000 \, {\left(2 \, x - 1\right)}}"," ",0,"-17951/1600*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/4000*(6*(12*sqrt(5)*(5*x + 3) + 181*sqrt(5))*(5*x + 3) - 17951*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2522,1,58,0,1.187430," ","integrate((2+3*x)*(3+5*x)^(1/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{103}{40} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(6 \, \sqrt{5} {\left(5 \, x + 3\right)} - 103 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{100 \, {\left(2 \, x - 1\right)}}"," ",0,"-103/40*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/100*(6*sqrt(5)*(5*x + 3) - 103*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2523,1,45,0,1.029802," ","integrate((3+5*x)^(1/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{5 \, {\left(2 \, x - 1\right)}}"," ",0,"-1/2*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/5*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2524,1,100,0,1.141050," ","integrate((3+5*x)^(1/2)/(1-2*x)^(3/2)/(2+3*x),x, algorithm=""giac"")","-\frac{1}{490} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{2 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{35 \, {\left(2 \, x - 1\right)}}"," ",0,"-1/490*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 2/35*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","B",0
2525,1,219,0,1.662821," ","integrate((3+5*x)^(1/2)/(1-2*x)^(3/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{29}{6860} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{4 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{245 \, {\left(2 \, x - 1\right)}} - \frac{66 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{49 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"29/6860*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 4/245*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 66/49*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2526,1,278,0,2.370100," ","integrate((3+5*x)^(1/2)/(1-2*x)^(3/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{317}{38416} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{8 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1715 \, {\left(2 \, x - 1\right)}} - \frac{33 \, \sqrt{10} {\left(7 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{680 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{2720 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{98 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"317/38416*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 8/1715*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 33/98*sqrt(10)*(7*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 680*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2720*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2527,1,336,0,3.050975," ","integrate((3+5*x)^(1/2)/(1-2*x)^(3/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{1487}{76832} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{16 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{12005 \, {\left(2 \, x - 1\right)}} - \frac{99 \, \sqrt{10} {\left(527 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 253120 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{36299200 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{145196800 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{9604 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"1487/76832*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 16/12005*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 99/9604*sqrt(10)*(527*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 253120*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 36299200*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 145196800*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2528,1,394,0,3.896888," ","integrate((3+5*x)^(1/2)/(1-2*x)^(3/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{248951}{4302592} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{32 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{84035 \, {\left(2 \, x - 1\right)}} - \frac{33 \, \sqrt{10} {\left(264101 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} - 272107080 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 72200520000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{5707629760000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{22830519040000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{537824 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"248951/4302592*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 32/84035*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 33/537824*sqrt(10)*(264101*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 - 272107080*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 72200520000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 5707629760000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 22830519040000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2529,1,110,0,1.189968," ","integrate((2+3*x)^4*(3+5*x)^(3/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{11199264087}{10240000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(2 \, {\left(12 \, {\left(24 \, {\left(12 \, {\left(48 \, \sqrt{5} {\left(5 \, x + 3\right)} + 443 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 44497 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 10283927 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 1696858195 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 55996320435 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{128000000 \, {\left(2 \, x - 1\right)}}"," ",0,"-11199264087/10240000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/128000000*(2*(12*(24*(12*(48*sqrt(5)*(5*x + 3) + 443*sqrt(5))*(5*x + 3) + 44497*sqrt(5))*(5*x + 3) + 10283927*sqrt(5))*(5*x + 3) + 1696858195*sqrt(5))*(5*x + 3) - 55996320435*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2530,1,97,0,1.002866," ","integrate((2+3*x)^3*(3+5*x)^(3/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{145708761}{512000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(2 \, {\left(36 \, {\left(8 \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} + 115 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 8919 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 4415417 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 145708761 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1280000 \, {\left(2 \, x - 1\right)}}"," ",0,"-145708761/512000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/1280000*(2*(36*(8*(12*sqrt(5)*(5*x + 3) + 115*sqrt(5))*(5*x + 3) + 8919*sqrt(5))*(5*x + 3) + 4415417*sqrt(5))*(5*x + 3) - 145708761*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2531,1,84,0,1.022962," ","integrate((2+3*x)^2*(3+5*x)^(3/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{463881}{6400} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(2 \, {\left(12 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + 85 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 14057 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 463881 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{16000 \, {\left(2 \, x - 1\right)}}"," ",0,"-463881/6400*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/16000*(2*(12*(8*sqrt(5)*(5*x + 3) + 85*sqrt(5))*(5*x + 3) + 14057*sqrt(5))*(5*x + 3) - 463881*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2532,1,71,0,0.859327," ","integrate((2+3*x)*(3+5*x)^(3/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{5709}{320} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(2 \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} + 173 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 5709 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{800 \, {\left(2 \, x - 1\right)}}"," ",0,"-5709/320*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/800*(2*(12*sqrt(5)*(5*x + 3) + 173*sqrt(5))*(5*x + 3) - 5709*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2533,1,58,0,0.879226," ","integrate((3+5*x)^(3/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{33}{8} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(2 \, \sqrt{5} {\left(5 \, x + 3\right)} - 33 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{20 \, {\left(2 \, x - 1\right)}}"," ",0,"-33/8*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/20*(2*sqrt(5)*(5*x + 3) - 33*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2534,1,167,0,1.145331," ","integrate((3+5*x)^(3/2)/(1-2*x)^(3/2)/(2+3*x),x, algorithm=""giac"")","\frac{1}{1470} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{5}{12} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{11 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{35 \, {\left(2 \, x - 1\right)}}"," ",0,"1/1470*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 5/12*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 11/35*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","B",0
2535,1,219,0,1.636423," ","integrate((3+5*x)^(3/2)/(1-2*x)^(3/2)/(2+3*x)^2,x, algorithm=""giac"")","-\frac{33}{6860} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{22 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{245 \, {\left(2 \, x - 1\right)}} + \frac{22 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{49 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"-33/6860*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 22/245*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 22/49*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2536,1,278,0,2.252669," ","integrate((3+5*x)^(3/2)/(1-2*x)^(3/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{165}{38416} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{44 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1715 \, {\left(2 \, x - 1\right)}} - \frac{11 \, \sqrt{10} {\left(13 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{6280 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{25120 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{98 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"165/38416*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 44/1715*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 11/98*sqrt(10)*(13*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 6280*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 25120*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2537,1,336,0,2.832795," ","integrate((3+5*x)^(3/2)/(1-2*x)^(3/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{561}{76832} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{88 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{12005 \, {\left(2 \, x - 1\right)}} - \frac{11 \, \sqrt{10} {\left(1849 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 1386560 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{15601600 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{62406400 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{9604 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"561/76832*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 88/12005*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 11/9604*sqrt(10)*(1849*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 1386560*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 15601600*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 62406400*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2538,1,394,0,3.703543," ","integrate((3+5*x)^(3/2)/(1-2*x)^(3/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{55803}{4302592} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{176 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{84035 \, {\left(2 \, x - 1\right)}} - \frac{11 \, \sqrt{10} {\left(178579 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 183436680 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 17824632000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{2829942080000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{11319768320000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{537824 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"55803/4302592*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 176/84035*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 11/537824*sqrt(10)*(178579*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 183436680*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 17824632000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 2829942080000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 11319768320000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2539,1,123,0,1.218944," ","integrate((2+3*x)^4*(3+5*x)^(5/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{107121749031}{16384000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(2 \, {\left(4 \, {\left(8 \, {\left(108 \, {\left(16 \, {\left(4 \, \sqrt{5} {\left(5 \, x + 3\right)} + 35 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 4299 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 3832457 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 295101237 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 16230568035 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 535608745155 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{204800000 \, {\left(2 \, x - 1\right)}}"," ",0,"-107121749031/16384000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/204800000*(2*(4*(8*(108*(16*(4*sqrt(5)*(5*x + 3) + 35*sqrt(5))*(5*x + 3) + 4299*sqrt(5))*(5*x + 3) + 3832457*sqrt(5))*(5*x + 3) + 295101237*sqrt(5))*(5*x + 3) + 16230568035*sqrt(5))*(5*x + 3) - 535608745155*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2540,1,110,0,1.130933," ","integrate((2+3*x)^3*(3+5*x)^(5/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{3538809681}{2048000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(2 \, {\left(4 \, {\left(24 \, {\left(36 \, {\left(16 \, \sqrt{5} {\left(5 \, x + 3\right)} + 141 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 42197 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 9748787 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 536183285 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 17694048405 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{25600000 \, {\left(2 \, x - 1\right)}}"," ",0,"-3538809681/2048000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/25600000*(2*(4*(24*(36*(16*sqrt(5)*(5*x + 3) + 141*sqrt(5))*(5*x + 3) + 42197*sqrt(5))*(5*x + 3) + 9748787*sqrt(5))*(5*x + 3) + 536183285*sqrt(5))*(5*x + 3) - 17694048405*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2541,1,97,0,0.951831," ","integrate((2+3*x)^2*(3+5*x)^(5/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{9219111}{20480} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(2 \, {\left(4 \, {\left(8 \, {\left(36 \, \sqrt{5} {\left(5 \, x + 3\right)} + 329 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 25397 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 1396835 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 46095555 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{256000 \, {\left(2 \, x - 1\right)}}"," ",0,"-9219111/20480*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/256000*(2*(4*(8*(36*sqrt(5)*(5*x + 3) + 329*sqrt(5))*(5*x + 3) + 25397*sqrt(5))*(5*x + 3) + 1396835*sqrt(5))*(5*x + 3) - 46095555*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2542,1,84,0,0.983138," ","integrate((2+3*x)*(3+5*x)^(5/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{29403}{256} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(2 \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + 81 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 4455 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 147015 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{3200 \, {\left(2 \, x - 1\right)}}"," ",0,"-29403/256*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/3200*(2*(4*(8*sqrt(5)*(5*x + 3) + 81*sqrt(5))*(5*x + 3) + 4455*sqrt(5))*(5*x + 3) - 147015*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2543,1,71,0,1.053032," ","integrate((3+5*x)^(5/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","-\frac{1815}{64} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(2 \, {\left(4 \, \sqrt{5} {\left(5 \, x + 3\right)} + 55 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 1815 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{160 \, {\left(2 \, x - 1\right)}}"," ",0,"-1815/64*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/160*(2*(4*sqrt(5)*(5*x + 3) + 55*sqrt(5))*(5*x + 3) - 1815*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2544,1,180,0,1.329546," ","integrate((3+5*x)^(5/2)/(1-2*x)^(3/2)/(2+3*x),x, algorithm=""giac"")","-\frac{1}{4410} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{475}{144} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{{\left(70 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1111 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{420 \, {\left(2 \, x - 1\right)}}"," ",0,"-1/4410*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 475/144*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 1/420*(70*sqrt(5)*(5*x + 3) - 1111*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","B",0
2545,1,286,0,2.001406," ","integrate((3+5*x)^(5/2)/(1-2*x)^(3/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{169}{61740} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{25}{36} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{121 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{245 \, {\left(2 \, x - 1\right)}} - \frac{22 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{147 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"169/61740*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 25/36*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 121/245*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 22/147*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2546,1,276,0,2.696810," ","integrate((3+5*x)^(5/2)/(1-2*x)^(3/2)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{363}{38416} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{242 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1715 \, {\left(2 \, x - 1\right)}} + \frac{121 \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{360 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{1440 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{98 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"-363/38416*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 242/1715*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 121/98*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 360*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 1440*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2547,1,336,0,3.194126," ","integrate((3+5*x)^(5/2)/(1-2*x)^(3/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{363}{76832} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{484 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{12005 \, {\left(2 \, x - 1\right)}} - \frac{121 \, \sqrt{10} {\left(137 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 105280 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{25636800 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{102547200 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{9604 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"363/76832*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 484/12005*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 121/9604*sqrt(10)*(137*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 105280*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 25636800*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 102547200*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2548,1,394,0,4.350212," ","integrate((3+5*x)^(5/2)/(1-2*x)^(3/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{33759}{4302592} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{968 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{84035 \, {\left(2 \, x - 1\right)}} - \frac{121 \, \sqrt{10} {\left(10277 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 10598840 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 3966648000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{122821440000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{491285760000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{537824 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"33759/4302592*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 968/84035*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 121/537824*sqrt(10)*(10277*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 10598840*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 3966648000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 122821440000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 491285760000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2549,1,452,0,5.756108," ","integrate((3+5*x)^(5/2)/(1-2*x)^(3/2)/(2+3*x)^6,x, algorithm=""giac"")","\frac{3474273}{301181440} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{1936 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{588245 \, {\left(2 \, x - 1\right)}} - \frac{121 \, \sqrt{10} {\left(203039 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{9} + 265495440 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 136071290880 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 774949504000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{650054039040000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{2600216156160000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{7529536 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{5}}"," ",0,"3474273/301181440*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 1936/588245*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 121/7529536*sqrt(10)*(203039*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^9 + 265495440*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 136071290880*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 774949504000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 650054039040000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2600216156160000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^5","B",0
2550,1,97,0,1.069456," ","integrate((2+3*x)^5/(1-2*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{291096141}{2560000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(198 \, {\left(12 \, {\left(8 \, {\left(36 \, \sqrt{5} {\left(5 \, x + 3\right)} + 377 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 29669 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 4900505 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 16010291851 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{352000000 \, {\left(2 \, x - 1\right)}}"," ",0,"-291096141/2560000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/352000000*(198*(12*(8*(36*sqrt(5)*(5*x + 3) + 377*sqrt(5))*(5*x + 3) + 29669*sqrt(5))*(5*x + 3) + 4900505*sqrt(5))*(5*x + 3) - 16010291851*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2551,1,84,0,1.089131," ","integrate((2+3*x)^4/(1-2*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{184641}{6400} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(594 \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + 93 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 5179 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 50776531 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{4400000 \, {\left(2 \, x - 1\right)}}"," ",0,"-184641/6400*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/4400000*(594*(4*(8*sqrt(5)*(5*x + 3) + 93*sqrt(5))*(5*x + 3) + 5179*sqrt(5))*(5*x + 3) - 50776531*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2552,1,71,0,1.005817," ","integrate((2+3*x)^3/(1-2*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{56421}{8000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(594 \, {\left(4 \, \sqrt{5} {\left(5 \, x + 3\right)} + 63 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 620695 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{220000 \, {\left(2 \, x - 1\right)}}"," ",0,"-56421/8000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/220000*(594*(4*sqrt(5)*(5*x + 3) + 63*sqrt(5))*(5*x + 3) - 620695*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2553,1,58,0,1.019490," ","integrate((2+3*x)^2/(1-2*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{321}{200} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(198 \, \sqrt{5} {\left(5 \, x + 3\right)} - 3539 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{5500 \, {\left(2 \, x - 1\right)}}"," ",0,"-321/200*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/5500*(198*sqrt(5)*(5*x + 3) - 3539*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2554,1,45,0,0.904279," ","integrate((2+3*x)/(1-2*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{3}{10} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{7 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{55 \, {\left(2 \, x - 1\right)}}"," ",0,"-3/10*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 7/55*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2555,1,26,0,1.106579," ","integrate(1/(1-2*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{55 \, {\left(2 \, x - 1\right)}}"," ",0,"-2/55*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","A",0
2556,1,100,0,1.152369," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{3}{490} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{4 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{385 \, {\left(2 \, x - 1\right)}}"," ",0,"3/490*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 4/385*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","B",0
2557,1,219,0,1.565261," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^2/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{123}{6860} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{8 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{2695 \, {\left(2 \, x - 1\right)}} + \frac{198 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{49 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"123/6860*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 8/2695*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 198/49*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2558,1,278,0,2.596701," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^3/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{2493}{38416} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{16 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{18865 \, {\left(2 \, x - 1\right)}} + \frac{297 \, \sqrt{10} {\left(9 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{1640 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{6560 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{98 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"2493/38416*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 16/18865*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 297/98*sqrt(10)*(9*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 1640*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 6560*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2559,1,336,0,2.595103," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^4/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{20469}{76832} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{32 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{132055 \, {\left(2 \, x - 1\right)}} + \frac{297 \, \sqrt{10} {\left(4937 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 1785280 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{188708800 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{754835200 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{9604 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"20469/76832*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 32/132055*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 297/9604*sqrt(10)*(4937*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 1785280*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 188708800*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 754835200*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2560,1,394,0,4.025833," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^5/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{4984467}{4302592} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{64 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{924385 \, {\left(2 \, x - 1\right)}} + \frac{99 \, \sqrt{10} {\left(4411181 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 2388710520 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 506212728000 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{38676680000000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{154706720000000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{537824 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"4984467/4302592*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 64/924385*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 99/537824*sqrt(10)*(4411181*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 2388710520*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 506212728000*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 38676680000000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 154706720000000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2561,1,144,0,1.376883," ","integrate((2+3*x)^5/(1-2*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{2911419}{160000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(6534 \, {\left(12 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + 97 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 16325 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 1761451247 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{242000000 \, {\left(2 \, x - 1\right)}} - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{756250 \, \sqrt{5 \, x + 3}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{378125 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-2911419/160000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/242000000*(6534*(12*(8*sqrt(5)*(5*x + 3) + 97*sqrt(5))*(5*x + 3) + 16325*sqrt(5))*(5*x + 3) - 1761451247*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 1/756250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2/378125*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2562,1,131,0,1.303908," ","integrate((2+3*x)^4/(1-2*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{35451}{8000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(6534 \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} + 197 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 21456431 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{12100000 \, {\left(2 \, x - 1\right)}} - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{151250 \, \sqrt{5 \, x + 3}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{75625 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-35451/8000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/12100000*(6534*(12*sqrt(5)*(5*x + 3) + 197*sqrt(5))*(5*x + 3) - 21456431*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 1/151250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2/75625*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2563,1,118,0,1.278066," ","integrate((2+3*x)^3/(1-2*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{999}{1000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(6534 \, \sqrt{5} {\left(5 \, x + 3\right)} - 121687 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{302500 \, {\left(2 \, x - 1\right)}} - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{30250 \, \sqrt{5 \, x + 3}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{15125 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-999/1000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/302500*(6534*sqrt(5)*(5*x + 3) - 121687*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 1/30250*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2/15125*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2564,1,105,0,1.253094," ","integrate((2+3*x)^2/(1-2*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{9}{50} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{6050 \, \sqrt{5 \, x + 3}} - \frac{49 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{605 \, {\left(2 \, x - 1\right)}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{3025 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-9/50*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/6050*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 49/605*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 2/3025*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","B",0
2565,1,87,0,1.041594," ","integrate((2+3*x)/(1-2*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{1210 \, \sqrt{5 \, x + 3}} - \frac{14 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{605 \, {\left(2 \, x - 1\right)}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{605 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-1/1210*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 14/605*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 2/605*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","B",0
2566,1,87,0,1.148663," ","integrate(1/(1-2*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{242 \, \sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{605 \, {\left(2 \, x - 1\right)}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{121 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-1/242*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4/605*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 2/121*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","B",0
2567,1,159,0,1.214510," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{9}{490} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{5}{242} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{8 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{4235 \, {\left(2 \, x - 1\right)}}"," ",0,"-9/490*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 5/242*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 8/4235*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","B",0
2568,1,278,0,1.900861," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^2/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{999}{6860} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{25}{242} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{16 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{29645 \, {\left(2 \, x - 1\right)}} - \frac{594 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{49 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"-999/6860*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 25/242*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 16/29645*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 594/49*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2569,1,342,0,2.343671," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^3/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{35451}{38416} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{125}{242} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{32 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{207515 \, {\left(2 \, x - 1\right)}} - \frac{297 \, {\left(47 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 10520 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{98 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"-35451/38416*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 125/242*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 32/207515*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 297/98*(47*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 10520*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2570,1,403,0,3.786457," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^4/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{415917}{76832} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{625}{242} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{64 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1452605 \, {\left(2 \, x - 1\right)}} - \frac{297 \, {\left(37841 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 16959040 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 2009470400 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{9604 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"-415917/76832*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 625/242*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 64/1452605*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) - 297/9604*(37841*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 16959040*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 2009470400*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2571,1,191,0,1.503779," ","integrate((2+3*x)^5/(1-2*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{199650000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{4044 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{111321}{40000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(215622 \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} + 205 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 741559591 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{665500000 \, {\left(2 \, x - 1\right)}} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{1011 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{12478125 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/199650000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 4044*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 111321/40000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/665500000*(215622*(12*sqrt(5)*(5*x + 3) + 205*sqrt(5))*(5*x + 3) - 741559591*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 1/12478125*sqrt(10)*(5*x + 3)^(3/2)*(1011*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","A",0
2572,1,178,0,1.470982," ","integrate((2+3*x)^4/(1-2*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{39930000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{3252 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{621}{1000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(215622 \, \sqrt{5} {\left(5 \, x + 3\right)} - 4187171 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{16637500 \, {\left(2 \, x - 1\right)}} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{813 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{2495625 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/39930000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 3252*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 621/1000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/16637500*(215622*sqrt(5)*(5*x + 3) - 4187171*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 1/2495625*sqrt(10)*(5*x + 3)^(3/2)*(813*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2573,1,165,0,1.395111," ","integrate((2+3*x)^3/(1-2*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{7986000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{2460 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{27}{250} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{343 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{6655 \, {\left(2 \, x - 1\right)}} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{615 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{499125 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/7986000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 2460*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 27/250*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 343/6655*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 1/499125*sqrt(10)*(5*x + 3)^(3/2)*(615*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2574,1,147,0,1.263602," ","integrate((2+3*x)^2/(1-2*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{1597200} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{1668 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{98 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{6655 \, {\left(2 \, x - 1\right)}} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{417 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{99825 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/1597200*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 1668*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 98/6655*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 1/99825*sqrt(10)*(5*x + 3)^(3/2)*(417*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2575,1,147,0,1.236052," ","integrate((2+3*x)/(1-2*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{319440} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{876 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{28 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{6655 \, {\left(2 \, x - 1\right)}} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{219 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{19965 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/319440*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 876*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 28/6655*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 1/19965*sqrt(10)*(5*x + 3)^(3/2)*(219*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2576,1,147,0,1.157969," ","integrate(1/(1-2*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{63888} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{84 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{8 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{6655 \, {\left(2 \, x - 1\right)}} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{21 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{3993 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/63888*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 84*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 8/6655*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 1/3993*sqrt(10)*(5*x + 3)^(3/2)*(21*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2577,1,216,0,1.310730," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{27}{490} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{5}{63888} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{696 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{2784 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{16 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{46585 \, {\left(2 \, x - 1\right)}}"," ",0,"27/490*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 5/63888*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 696*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2784*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 16/46585*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)","B",0
2578,1,335,0,2.215953," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^2/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{4887}{6860} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{25}{63888} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{1488 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{5952 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{32 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{326095 \, {\left(2 \, x - 1\right)}} + \frac{1782 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{49 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}}"," ",0,"4887/6860*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 25/63888*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 1488*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 5952*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 32/326095*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 1782/49*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)","B",0
2579,1,399,0,3.186817," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^3/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{243189}{38416} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{125}{63888} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{2280 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{9120 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{64 \, \sqrt{5} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{2282665 \, {\left(2 \, x - 1\right)}} + \frac{891 \, {\left(67 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 16120 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{98 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"243189/38416*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 125/63888*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 2280*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 9120*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 64/2282665*sqrt(5)*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1) + 891/98*(67*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 16120*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2580,1,97,0,1.090114," ","integrate((2+3*x)^4*(3+5*x)^(1/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{13246251}{64000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(891 \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + 115 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 8919 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 291417650 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 4808389113 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{26400000 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"13246251/64000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/26400000*(4*(891*(4*(8*sqrt(5)*(5*x + 3) + 115*sqrt(5))*(5*x + 3) + 8919*sqrt(5))*(5*x + 3) - 291417650*sqrt(5))*(5*x + 3) + 4808389113*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2581,1,84,0,1.228321," ","integrate((2+3*x)^3*(3+5*x)^(1/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{126513}{3200} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(891 \, {\left(4 \, \sqrt{5} {\left(5 \, x + 3\right)} + 85 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 2783318 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 45924219 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1320000 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"126513/3200*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/1320000*(4*(891*(4*sqrt(5)*(5*x + 3) + 85*sqrt(5))*(5*x + 3) - 2783318*sqrt(5))*(5*x + 3) + 45924219*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2582,1,71,0,1.204903," ","integrate((2+3*x)^2*(3+5*x)^(1/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{519}{80} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(297 \, \sqrt{5} {\left(5 \, x + 3\right)} - 11422 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 188397 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{33000 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"519/80*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/33000*(4*(297*sqrt(5)*(5*x + 3) - 11422*sqrt(5))*(5*x + 3) + 188397*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2583,1,58,0,1.077029," ","integrate((2+3*x)*(3+5*x)^(1/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{3}{4} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(268 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1089 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1650 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"3/4*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/1650*(268*sqrt(5)*(5*x + 3) - 1089*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2584,1,26,0,0.930077," ","integrate((3+5*x)^(1/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{5} {\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{-10 \, x + 5}}{165 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"2/165*sqrt(5)*(5*x + 3)^(3/2)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2585,1,113,0,1.379480," ","integrate((3+5*x)^(1/2)/(1-2*x)^(5/2)/(2+3*x),x, algorithm=""giac"")","-\frac{3}{3430} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{2 \, {\left(128 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1089 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{40425 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"-3/3430*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 2/40425*(128*sqrt(5)*(5*x + 3) - 1089*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2586,1,232,0,2.117195," ","integrate((3+5*x)^(1/2)/(1-2*x)^(5/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{15}{9604} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{198 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{343 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}} - \frac{8 \, {\left(163 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1089 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{282975 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"15/9604*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 198/343*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280) - 8/282975*(163*sqrt(5)*(5*x + 3) - 1089*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","B",0
2587,1,291,0,3.058783," ","integrate((3+5*x)^(1/2)/(1-2*x)^(5/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{153}{38416} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{8 \, {\left(524 \, \sqrt{5} {\left(5 \, x + 3\right)} - 3267 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1980825 \, {\left(2 \, x - 1\right)}^{2}} - \frac{297 \, \sqrt{10} {\left(19 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{840 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{3360 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{4802 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"153/38416*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 8/1980825*(524*sqrt(5)*(5*x + 3) - 3267*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 - 297/4802*sqrt(10)*(19*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 840*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 3360*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2588,1,349,0,4.148785," ","integrate((3+5*x)^(1/2)/(1-2*x)^(5/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{5073}{537824} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{32 \, {\left(361 \, \sqrt{5} {\left(5 \, x + 3\right)} - 2178 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{13865775 \, {\left(2 \, x - 1\right)}^{2}} - \frac{297 \, \sqrt{10} {\left(603 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} - 235200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{37240000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{148960000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{67228 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"5073/537824*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 32/13865775*(361*sqrt(5)*(5*x + 3) - 2178*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 - 297/67228*sqrt(10)*(603*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 - 235200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 37240000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 148960000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2589,1,110,0,1.273236," ","integrate((2+3*x)^4*(3+5*x)^(3/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{1626211523}{1024000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(9 \, {\left(12 \, {\left(8 \, {\left(36 \, \sqrt{5} {\left(5 \, x + 3\right)} + 427 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 42657 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 9855815 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 3252423046 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 53664980259 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{38400000 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"1626211523/1024000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/38400000*(4*(9*(12*(8*(36*sqrt(5)*(5*x + 3) + 427*sqrt(5))*(5*x + 3) + 42657*sqrt(5))*(5*x + 3) + 9855815*sqrt(5))*(5*x + 3) - 3252423046*sqrt(5))*(5*x + 3) + 53664980259*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2590,1,97,0,1.026290," ","integrate((2+3*x)^3*(3+5*x)^(3/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{4246733}{12800} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(27 \, {\left(4 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + 111 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 8579 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 8493466 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 140142189 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{480000 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"4246733/12800*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/480000*(4*(27*(4*(8*sqrt(5)*(5*x + 3) + 111*sqrt(5))*(5*x + 3) + 8579*sqrt(5))*(5*x + 3) - 8493466*sqrt(5))*(5*x + 3) + 140142189*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2591,1,84,0,1.075086," ","integrate((2+3*x)^2*(3+5*x)^(3/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{40787}{640} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(9 \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} + 247 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 81574 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 1345971 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{24000 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"40787/640*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/24000*(4*(9*(12*sqrt(5)*(5*x + 3) + 247*sqrt(5))*(5*x + 3) - 81574*sqrt(5))*(5*x + 3) + 1345971*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2592,1,71,0,1.141382," ","integrate((2+3*x)*(3+5*x)^(3/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{169}{16} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(9 \, \sqrt{5} {\left(5 \, x + 3\right)} - 338 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 5577 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{600 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"169/16*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/600*(4*(9*sqrt(5)*(5*x + 3) - 338*sqrt(5))*(5*x + 3) + 5577*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2593,1,58,0,1.299470," ","integrate((3+5*x)^(3/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{5}{4} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{{\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} - 33 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{30 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"5/4*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 1/30*(8*sqrt(5)*(5*x + 3) - 33*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2594,1,113,0,1.125977," ","integrate((3+5*x)^(3/2)/(1-2*x)^(5/2)/(2+3*x),x, algorithm=""giac"")","\frac{1}{3430} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{2 \, {\left(41 \, \sqrt{5} {\left(5 \, x + 3\right)} - 33 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{3675 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"1/3430*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 2/3675*(41*sqrt(5)*(5*x + 3) - 33*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2595,1,232,0,2.044283," ","integrate((3+5*x)^(3/2)/(1-2*x)^(5/2)/(2+3*x)^2,x, algorithm=""giac"")","-\frac{19}{9604} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{66 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{343 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}} - \frac{2 \, {\left(116 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1023 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{25725 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"-19/9604*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 66/343*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280) - 2/25725*(116*sqrt(5)*(5*x + 3) - 1023*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","B",0
2596,1,291,0,3.031291," ","integrate((3+5*x)^(3/2)/(1-2*x)^(5/2)/(2+3*x)^3,x, algorithm=""giac"")","\frac{1}{784} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{8 \, {\left(157 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1056 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{180075 \, {\left(2 \, x - 1\right)}^{2}} - \frac{33 \, \sqrt{10} {\left(83 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{41720 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{166880 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{4802 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"1/784*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 8/180075*(157*sqrt(5)*(5*x + 3) - 1056*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 - 33/4802*sqrt(10)*(83*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 41720*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 166880*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2597,1,349,0,3.253870," ","integrate((3+5*x)^(3/2)/(1-2*x)^(5/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{1879}{537824} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{8 \, {\left(512 \, \sqrt{5} {\left(5 \, x + 3\right)} - 3201 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1260525 \, {\left(2 \, x - 1\right)}^{2}} - \frac{99 \, \sqrt{10} {\left(727 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 548800 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{20776000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{83104000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{67228 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"1879/537824*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 8/1260525*(512*sqrt(5)*(5*x + 3) - 3201*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 - 99/67228*sqrt(10)*(727*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 548800*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 20776000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 83104000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2598,1,123,0,1.191609," ","integrate((2+3*x)^4*(3+5*x)^(5/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{46975917593}{4096000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(3 \, {\left(12 \, {\left(72 \, {\left(4 \, {\left(48 \, \sqrt{5} {\left(5 \, x + 3\right)} + 509 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 20743 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 18487133 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 4270537963 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 469759175930 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 7751026402845 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{768000000 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"46975917593/4096000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/768000000*(4*(3*(12*(72*(4*(48*sqrt(5)*(5*x + 3) + 509*sqrt(5))*(5*x + 3) + 20743*sqrt(5))*(5*x + 3) + 18487133*sqrt(5))*(5*x + 3) + 4270537963*sqrt(5))*(5*x + 3) - 469759175930*sqrt(5))*(5*x + 3) + 7751026402845*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2599,1,110,0,1.188892," ","integrate((2+3*x)^3*(3+5*x)^(5/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{103884253}{40960} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(3 \, {\left(36 \, {\left(8 \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} + 137 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 13627 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 9444023 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 1038842530 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 17140901745 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{7680000 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"103884253/40960*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/7680000*(4*(3*(36*(8*(12*sqrt(5)*(5*x + 3) + 137*sqrt(5))*(5*x + 3) + 13627*sqrt(5))*(5*x + 3) + 9444023*sqrt(5))*(5*x + 3) - 1038842530*sqrt(5))*(5*x + 3) + 17140901745*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2600,1,97,0,1.187971," ","integrate((2+3*x)^2*(3+5*x)^(5/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{272239}{512} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(3 \, {\left(12 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + 107 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 24749 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 2722390 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 44919435 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{96000 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"272239/512*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/96000*(4*(3*(12*(8*sqrt(5)*(5*x + 3) + 107*sqrt(5))*(5*x + 3) + 24749*sqrt(5))*(5*x + 3) - 2722390*sqrt(5))*(5*x + 3) + 44919435*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2601,1,84,0,1.046198," ","integrate((2+3*x)*(3+5*x)^(5/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{13145}{128} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(3 \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} + 239 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 26290 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 433785 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{4800 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"13145/128*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/4800*(4*(3*(12*sqrt(5)*(5*x + 3) + 239*sqrt(5))*(5*x + 3) - 26290*sqrt(5))*(5*x + 3) + 433785*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2602,1,71,0,1.221506," ","integrate((3+5*x)^(5/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\frac{275}{16} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(3 \, \sqrt{5} {\left(5 \, x + 3\right)} - 110 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 1815 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{120 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"275/16*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/120*(4*(3*sqrt(5)*(5*x + 3) - 110*sqrt(5))*(5*x + 3) + 1815*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2603,1,180,0,1.523409," ","integrate((3+5*x)^(5/2)/(1-2*x)^(5/2)/(2+3*x),x, algorithm=""giac"")","-\frac{1}{10290} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{25}{24} \, \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{4 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{11 \, {\left(292 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1221 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{7350 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"-1/10290*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 25/24*sqrt(10)*(pi + 2*arctan(-1/4*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 11/7350*(292*sqrt(5)*(5*x + 3) - 1221*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","B",0
2604,1,232,0,1.912382," ","integrate((3+5*x)^(5/2)/(1-2*x)^(5/2)/(2+3*x)^2,x, algorithm=""giac"")","\frac{11}{9604} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{22 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{343 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}} + \frac{22 \, {\left(47 \, \sqrt{5} {\left(5 \, x + 3\right)} - 66 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{25725 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"11/9604*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 22/343*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280) + 22/25725*(47*sqrt(5)*(5*x + 3) - 66*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","B",0
2605,1,291,0,2.684950," ","integrate((3+5*x)^(5/2)/(1-2*x)^(5/2)/(2+3*x)^3,x, algorithm=""giac"")","-\frac{143}{38416} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{22 \, {\left(104 \, \sqrt{5} {\left(5 \, x + 3\right)} - 957 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{180075 \, {\left(2 \, x - 1\right)}^{2}} + \frac{11 \, \sqrt{10} {\left(223 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{80920 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{323680 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{4802 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"-143/38416*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 22/180075*(104*sqrt(5)*(5*x + 3) - 957*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 11/4802*sqrt(10)*(223*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 80920*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 323680*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2606,1,349,0,4.153110," ","integrate((3+5*x)^(5/2)/(1-2*x)^(5/2)/(2+3*x)^4,x, algorithm=""giac"")","\frac{517}{537824} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{88 \, {\left(151 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1023 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1260525 \, {\left(2 \, x - 1\right)}^{2}} - \frac{11 \, \sqrt{10} {\left(3629 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 2900800 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{755384000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{3021536000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{67228 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"517/537824*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 88/1260525*(151*sqrt(5)*(5*x + 3) - 1023*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 - 11/67228*sqrt(10)*(3629*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 2900800*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 755384000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 3021536000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2607,1,407,0,5.400324," ","integrate((3+5*x)^(5/2)/(1-2*x)^(5/2)/(2+3*x)^5,x, algorithm=""giac"")","\frac{109549}{30118144} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{88 \, {\left(100 \, \sqrt{5} {\left(5 \, x + 3\right)} - 627 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1764735 \, {\left(2 \, x - 1\right)}^{2}} - \frac{55 \, \sqrt{10} {\left(79441 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{7} + 82486488 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 31196222400 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{1487445568000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{5949782272000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{3764768 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{4}}"," ",0,"109549/30118144*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 88/1764735*(100*sqrt(5)*(5*x + 3) - 627*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 - 55/3764768*sqrt(10)*(79441*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^7 + 82486488*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 31196222400*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 1487445568000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 5949782272000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^4","B",0
2608,1,97,0,1.160218," ","integrate((2+3*x)^5/(1-2*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{8261577}{64000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(9801 \, {\left(12 \, {\left(8 \, \sqrt{5} {\left(5 \, x + 3\right)} + 119 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 27809 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 9996528778 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 164942367909 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1452000000 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"8261577/64000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/1452000000*(4*(9801*(12*(8*sqrt(5)*(5*x + 3) + 119*sqrt(5))*(5*x + 3) + 27809*sqrt(5))*(5*x + 3) - 9996528778*sqrt(5))*(5*x + 3) + 164942367909*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2609,1,84,0,1.039410," ","integrate((2+3*x)^4/(1-2*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{392283}{16000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(9801 \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} + 263 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 94936582 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 1566381795 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{72600000 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"392283/16000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/72600000*(4*(9801*(12*sqrt(5)*(5*x + 3) + 263*sqrt(5))*(5*x + 3) - 94936582*sqrt(5))*(5*x + 3) + 1566381795*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2610,1,71,0,1.225245," ","integrate((2+3*x)^3/(1-2*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1593}{400} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(9801 \, \sqrt{5} {\left(5 \, x + 3\right)} - 385886 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 6360321 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1815000 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"1593/400*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/1815000*(4*(9801*sqrt(5)*(5*x + 3) - 385886*sqrt(5))*(5*x + 3) + 6360321*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2611,1,58,0,1.056320," ","integrate((2+3*x)^2/(1-2*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{9}{20} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{7 \, {\left(256 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1023 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{18150 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"9/20*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 7/18150*(256*sqrt(5)*(5*x + 3) - 1023*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2612,1,39,0,1.122071," ","integrate((2+3*x)/(1-2*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(29 \, \sqrt{5} {\left(5 \, x + 3\right)} + 33 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{9075 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"2/9075*(29*sqrt(5)*(5*x + 3) + 33*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2613,1,39,0,1.115477," ","integrate(1/(1-2*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(4 \, \sqrt{5} {\left(5 \, x + 3\right)} - 33 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1815 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"-2/1815*(4*sqrt(5)*(5*x + 3) - 33*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2614,1,113,0,1.135299," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{9}{3430} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{8 \, {\left(169 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1122 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{444675 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"9/3430*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 8/444675*(169*sqrt(5)*(5*x + 3) - 1122*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","A",0
2615,1,232,0,1.471142," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^2/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{81}{9604} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} + \frac{594 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{343 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}} - \frac{8 \, {\left(536 \, \sqrt{5} {\left(5 \, x + 3\right)} - 3333 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{3112725 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"81/9604*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) + 594/343*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280) - 8/3112725*(536*sqrt(5)*(5*x + 3) - 3333*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","B",0
2616,1,291,0,2.579456," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^3/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{1161}{38416} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{32 \, {\left(367 \, \sqrt{5} {\left(5 \, x + 3\right)} - 2211 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{21789075 \, {\left(2 \, x - 1\right)}^{2}} + \frac{297 \, \sqrt{10} {\left(197 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{36680 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{146720 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{4802 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"1161/38416*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 32/21789075*(367*sqrt(5)*(5*x + 3) - 2211*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 297/4802*sqrt(10)*(197*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 36680*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 146720*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2617,1,349,0,3.537985," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^4/(3+5*x)^(1/2),x, algorithm=""giac"")","\frac{66051}{537824} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{32 \, {\left(932 \, \sqrt{5} {\left(5 \, x + 3\right)} - 5511 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{152523525 \, {\left(2 \, x - 1\right)}^{2}} + \frac{297 \, \sqrt{10} {\left(15599 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{5} + 5723200 \, {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + \frac{607208000 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} - \frac{2428832000 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{67228 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{3}}"," ",0,"66051/537824*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 32/152523525*(932*sqrt(5)*(5*x + 3) - 5511*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 297/67228*sqrt(10)*(15599*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^5 + 5723200*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 607208000*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 2428832000*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^3","B",0
2618,1,144,0,1.335156," ","integrate((2+3*x)^5/(1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{243189}{16000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{1663750 \, \sqrt{5 \, x + 3}} - \frac{{\left(4 \, {\left(323433 \, {\left(12 \, \sqrt{5} {\left(5 \, x + 3\right)} + 271 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 3237172310 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 53407238379 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{3993000000 \, {\left(2 \, x - 1\right)}^{2}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{831875 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"243189/16000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/1663750*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 1/3993000000*(4*(323433*(12*sqrt(5)*(5*x + 3) + 271*sqrt(5))*(5*x + 3) - 3237172310*sqrt(5))*(5*x + 3) + 53407238379*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 2/831875*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2619,1,131,0,1.485726," ","integrate((2+3*x)^4/(1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{4887}{2000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{332750 \, \sqrt{5 \, x + 3}} - \frac{{\left(4 \, {\left(323433 \, \sqrt{5} {\left(5 \, x + 3\right)} - 13033138 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 214579893 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{99825000 \, {\left(2 \, x - 1\right)}^{2}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{166375 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"4887/2000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/332750*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 1/99825000*(4*(323433*sqrt(5)*(5*x + 3) - 13033138*sqrt(5))*(5*x + 3) + 214579893*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 2/166375*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2620,1,118,0,1.358107," ","integrate((2+3*x)^3/(1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\frac{27}{100} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{66550 \, \sqrt{5 \, x + 3}} + \frac{49 \, {\left(244 \, \sqrt{5} {\left(5 \, x + 3\right)} - 957 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{199650 \, {\left(2 \, x - 1\right)}^{2}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{33275 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"27/100*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/66550*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 49/199650*(244*sqrt(5)*(5*x + 3) - 957*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 2/33275*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","A",0
2621,1,100,0,1.270854," ","integrate((2+3*x)^2/(1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{13310 \, \sqrt{5 \, x + 3}} + \frac{14 \, {\left(23 \, \sqrt{5} {\left(5 \, x + 3\right)} + 66 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{99825 \, {\left(2 \, x - 1\right)}^{2}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{6655 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-1/13310*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 14/99825*(23*sqrt(5)*(5*x + 3) + 66*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 2/6655*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","B",0
2622,1,100,0,1.112635," ","integrate((2+3*x)/(1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{2662 \, \sqrt{5 \, x + 3}} - \frac{2 \, {\left(152 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1221 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{99825 \, {\left(2 \, x - 1\right)}^{2}} + \frac{2 \, \sqrt{10} \sqrt{5 \, x + 3}}{1331 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-1/2662*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 2/99825*(152*sqrt(5)*(5*x + 3) - 1221*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 2/1331*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","B",0
2623,1,100,0,0.996298," ","integrate(1/(1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{5 \, \sqrt{10} {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{2662 \, \sqrt{5 \, x + 3}} - \frac{8 \, {\left(5 \, \sqrt{5} {\left(5 \, x + 3\right)} - 33 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{19965 \, {\left(2 \, x - 1\right)}^{2}} + \frac{10 \, \sqrt{10} \sqrt{5 \, x + 3}}{1331 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}"," ",0,"-5/2662*sqrt(10)*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 8/19965*(5*sqrt(5)*(5*x + 3) - 33*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 10/1331*sqrt(10)*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))","B",0
2624,1,172,0,1.375762," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{27}{3430} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{25}{2662} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{8 \, {\left(548 \, \sqrt{5} {\left(5 \, x + 3\right)} - 3399 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{4891425 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"-27/3430*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 25/2662*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 8/4891425*(548*sqrt(5)*(5*x + 3) - 3399*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","B",0
2625,1,291,0,2.198211," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^2/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{621}{9604} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{125}{2662} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{1782 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{343 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}} - \frac{32 \, {\left(373 \, \sqrt{5} {\left(5 \, x + 3\right)} - 2244 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{34239975 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"-621/9604*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 125/2662*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 1782/343*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280) - 32/34239975*(373*sqrt(5)*(5*x + 3) - 2244*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","B",0
2626,1,355,0,3.212289," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^3/(3+5*x)^(3/2),x, algorithm=""giac"")","-\frac{15903}{38416} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{625}{2662} \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{32 \, {\left(944 \, \sqrt{5} {\left(5 \, x + 3\right)} - 5577 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{239679825 \, {\left(2 \, x - 1\right)}^{2}} - \frac{891 \, {\left(337 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 75880 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{4802 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"-15903/38416*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 625/2662*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 32/239679825*(944*sqrt(5)*(5*x + 3) - 5577*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 - 891/4802*(337*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 75880*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2627,1,204,0,1.526927," ","integrate((2+3*x)^6/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{2196150000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{4884 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{753543}{80000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(32019867 \, {\left(4 \, \sqrt{5} {\left(5 \, x + 3\right)} + 93 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} - 110347010662 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 1820310410259 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{219615000000 \, {\left(2 \, x - 1\right)}^{2}} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{1221 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{137259375 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/2196150000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 4884*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 753543/80000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/219615000000*(4*(32019867*(4*sqrt(5)*(5*x + 3) + 93*sqrt(5))*(5*x + 3) - 110347010662*sqrt(5))*(5*x + 3) + 1820310410259*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 1/137259375*sqrt(10)*(5*x + 3)^(3/2)*(1221*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","A",0
2628,1,191,0,1.506887," ","integrate((2+3*x)^5/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{439230000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{4092 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{2997}{2000} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) - \frac{{\left(4 \, {\left(10673289 \, \sqrt{5} {\left(5 \, x + 3\right)} - 440040554 \, \sqrt{5}\right)} {\left(5 \, x + 3\right)} + 7233942969 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{5490375000 \, {\left(2 \, x - 1\right)}^{2}} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{1023 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{27451875 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/439230000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 4092*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 2997/2000*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) - 1/5490375000*(4*(10673289*sqrt(5)*(5*x + 3) - 440040554*sqrt(5))*(5*x + 3) + 7233942969*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 1/27451875*sqrt(10)*(5*x + 3)^(3/2)*(1023*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","A",0
2629,1,178,0,1.551080," ","integrate((2+3*x)^4/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{87846000} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{3300 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{81}{500} \, \sqrt{10} \arcsin\left(\frac{1}{11} \, \sqrt{22} \sqrt{5 \, x + 3}\right) + \frac{343 \, {\left(232 \, \sqrt{5} {\left(5 \, x + 3\right)} - 891 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{2196150 \, {\left(2 \, x - 1\right)}^{2}} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{825 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{5490375 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/87846000*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 3300*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 81/500*sqrt(10)*arcsin(1/11*sqrt(22)*sqrt(5*x + 3)) + 343/2196150*(232*sqrt(5)*(5*x + 3) - 891*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 1/5490375*sqrt(10)*(5*x + 3)^(3/2)*(825*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2630,1,160,0,1.349203," ","integrate((2+3*x)^3/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{17569200} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{2508 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} + \frac{98 \, {\left(17 \, \sqrt{5} {\left(5 \, x + 3\right)} + 99 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1098075 \, {\left(2 \, x - 1\right)}^{2}} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{627 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{1098075 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/17569200*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 2508*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) + 98/1098075*(17*sqrt(5)*(5*x + 3) + 99*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 1/1098075*sqrt(10)*(5*x + 3)^(3/2)*(627*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2631,1,160,0,1.392533," ","integrate((2+3*x)^2/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{3513840} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{1716 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{14 \, {\left(164 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1287 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1098075 \, {\left(2 \, x - 1\right)}^{2}} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{429 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{219615 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/3513840*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 1716*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 14/1098075*(164*sqrt(5)*(5*x + 3) - 1287*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 1/219615*sqrt(10)*(5*x + 3)^(3/2)*(429*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2632,1,160,0,1.359561," ","integrate((2+3*x)/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{1}{702768} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{924 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{8 \, {\left(181 \, \sqrt{5} {\left(5 \, x + 3\right)} - 1188 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{1098075 \, {\left(2 \, x - 1\right)}^{2}} + \frac{\sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{231 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{43923 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-1/702768*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 924*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 8/1098075*(181*sqrt(5)*(5*x + 3) - 1188*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 1/43923*sqrt(10)*(5*x + 3)^(3/2)*(231*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2633,1,160,0,1.106130," ","integrate(1/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","-\frac{5}{702768} \, \sqrt{10} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}} + \frac{132 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}}\right)} - \frac{8 \, {\left(16 \, \sqrt{5} {\left(5 \, x + 3\right)} - 99 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{219615 \, {\left(2 \, x - 1\right)}^{2}} + \frac{5 \, \sqrt{10} {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(\frac{33 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} + 4\right)}}{43923 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{3}}"," ",0,"-5/702768*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3/(5*x + 3)^(3/2) + 132*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3)) - 8/219615*(16*sqrt(5)*(5*x + 3) - 99*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 5/43923*sqrt(10)*(5*x + 3)^(3/2)*(33*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) + 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^3","B",0
2634,1,229,0,1.479863," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{81}{3430} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{25}{702768} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{648 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{2592 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{32 \, {\left(379 \, \sqrt{5} {\left(5 \, x + 3\right)} - 2277 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{53805675 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"81/3430*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 25/702768*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 648*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 2592*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 32/53805675*(379*sqrt(5)*(5*x + 3) - 2277*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","B",0
2635,1,348,0,2.383596," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^2/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{2997}{9604} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{125}{702768} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{1440 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{5760 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} + \frac{5346 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}}{343 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}} - \frac{32 \, {\left(956 \, \sqrt{5} {\left(5 \, x + 3\right)} - 5643 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{376639725 \, {\left(2 \, x - 1\right)}^{2}}"," ",0,"2997/9604*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 125/702768*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 1440*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 5760*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) + 5346/343*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280) - 32/376639725*(956*sqrt(5)*(5*x + 3) - 5643*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2","B",0
2636,1,412,0,3.728743," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^3/(3+5*x)^(5/2),x, algorithm=""giac"")","\frac{107649}{38416} \, \sqrt{70} \sqrt{10} {\left(\pi + 2 \, \arctan\left(-\frac{\sqrt{70} \sqrt{5 \, x + 3} {\left(\frac{{\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}^{2}}{5 \, x + 3} - 4\right)}}{140 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}\right)\right)} - \frac{625}{702768} \, \sqrt{10} {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} - \frac{2232 \, {\left(\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}\right)}}{\sqrt{5 \, x + 3}} + \frac{8928 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)} - \frac{128 \, {\left(577 \, \sqrt{5} {\left(5 \, x + 3\right)} - 3366 \, \sqrt{5}\right)} \sqrt{5 \, x + 3} \sqrt{-10 \, x + 5}}{2636478075 \, {\left(2 \, x - 1\right)}^{2}} + \frac{8019 \, {\left(159 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{3} + 38360 \, \sqrt{10} {\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}\right)}}{4802 \, {\left({\left(\frac{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}{\sqrt{5 \, x + 3}} - \frac{4 \, \sqrt{5 \, x + 3}}{\sqrt{2} \sqrt{-10 \, x + 5} - \sqrt{22}}\right)}^{2} + 280\right)}^{2}}"," ",0,"107649/38416*sqrt(70)*sqrt(10)*(pi + 2*arctan(-1/140*sqrt(70)*sqrt(5*x + 3)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))^2/(5*x + 3) - 4)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))) - 625/702768*sqrt(10)*(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 - 2232*(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) + 8928*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))) - 128/2636478075*(577*sqrt(5)*(5*x + 3) - 3366*sqrt(5))*sqrt(5*x + 3)*sqrt(-10*x + 5)/(2*x - 1)^2 + 8019/4802*(159*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^3 + 38360*sqrt(10)*((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22))))/(((sqrt(2)*sqrt(-10*x + 5) - sqrt(22))/sqrt(5*x + 3) - 4*sqrt(5*x + 3)/(sqrt(2)*sqrt(-10*x + 5) - sqrt(22)))^2 + 280)^2","B",0
2637,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(c+b*(-1+c)*x/a)^(1/2)/(e+b*(-1+e)*x/a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} \sqrt{\frac{b {\left(c - 1\right)} x}{a} + c} \sqrt{\frac{b {\left(e - 1\right)} x}{a} + e}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*sqrt(b*(c - 1)*x/a + c)*sqrt(b*(e - 1)*x/a + e)), x)","F",0
2638,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(e+b*(-1+e)*x/a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{b {\left(e - 1\right)} x}{a} + e}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*sqrt(d*x + c)*sqrt(b*(e - 1)*x/a + e)), x)","F",0
2639,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x + a} \sqrt{d x + c} \sqrt{f x + e}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*sqrt(d*x + c)*sqrt(f*x + e)), x)","F",0
2640,0,0,0,0.000000," ","integrate((e+b*(-1+e)*x/a)^(1/2)/(b*x+a)^(1/2)/(c+b*(-1+c)*x/a)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{\frac{b {\left(e - 1\right)} x}{a} + e}}{\sqrt{b x + a} \sqrt{\frac{b {\left(c - 1\right)} x}{a} + c}}\,{d x}"," ",0,"integrate(sqrt(b*(e - 1)*x/a + e)/(sqrt(b*x + a)*sqrt(b*(c - 1)*x/a + c)), x)","F",0
2641,0,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^(1/2)/(e+b*(-1+e)*x/a)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{d x + c}}{\sqrt{b x + a} \sqrt{\frac{b {\left(e - 1\right)} x}{a} + e}}\,{d x}"," ",0,"integrate(sqrt(d*x + c)/(sqrt(b*x + a)*sqrt(b*(e - 1)*x/a + e)), x)","F",0
2642,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(c+b*(-1+c)*x/a)^(1/2)/(e+b*(-1+e)*x/a)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a}}{\sqrt{\frac{b {\left(c - 1\right)} x}{a} + c} \sqrt{\frac{b {\left(e - 1\right)} x}{a} + e}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(sqrt(b*(c - 1)*x/a + c)*sqrt(b*(e - 1)*x/a + e)), x)","F",0
2643,0,0,0,0.000000," ","integrate((f*x+e)^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{f x + e}}{\sqrt{b x + a} \sqrt{d x + c}}\,{d x}"," ",0,"integrate(sqrt(f*x + e)/(sqrt(b*x + a)*sqrt(d*x + c)), x)","F",0
2644,0,0,0,0.000000," ","integrate(1/(d*x-c)^(1/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{d x + c} \sqrt{d x - c} \sqrt{f x + e}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x + c)*sqrt(d*x - c)*sqrt(f*x + e)), x)","F",0
2645,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(1-2*x)^(1/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(5/2)*sqrt(-2*x + 1), x)","F",0
2646,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(1-2*x)^(1/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(3/2)*sqrt(-2*x + 1), x)","F",0
2647,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)*(2+3*x)^(1/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{5 \, x + 3} \sqrt{3 \, x + 2} \sqrt{-2 \, x + 1}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*sqrt(3*x + 2)*sqrt(-2*x + 1), x)","F",0
2648,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} \sqrt{-2 \, x + 1}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*sqrt(-2*x + 1)/sqrt(3*x + 2), x)","F",0
2649,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*sqrt(-2*x + 1)/(3*x + 2)^(3/2), x)","F",0
2650,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*sqrt(-2*x + 1)/(3*x + 2)^(5/2), x)","F",0
2651,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*sqrt(-2*x + 1)/(3*x + 2)^(7/2), x)","F",0
2652,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)*(3+5*x)^(1/2)/(2+3*x)^(9/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*sqrt(-2*x + 1)/(3*x + 2)^(9/2), x)","F",0
2653,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(3+5*x)^(3/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(3*x + 2)^(5/2)*sqrt(-2*x + 1), x)","F",0
2654,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(3+5*x)^(3/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(3*x + 2)^(3/2)*sqrt(-2*x + 1), x)","F",0
2655,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)*(2+3*x)^(1/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{3 \, x + 2} \sqrt{-2 \, x + 1}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*sqrt(3*x + 2)*sqrt(-2*x + 1), x)","F",0
2656,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*sqrt(-2*x + 1)/sqrt(3*x + 2), x)","F",0
2657,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*sqrt(-2*x + 1)/(3*x + 2)^(3/2), x)","F",0
2658,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*sqrt(-2*x + 1)/(3*x + 2)^(5/2), x)","F",0
2659,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*sqrt(-2*x + 1)/(3*x + 2)^(7/2), x)","F",0
2660,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*sqrt(-2*x + 1)/(3*x + 2)^(9/2), x)","F",0
2661,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)*(1-2*x)^(1/2)/(2+3*x)^(11/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*sqrt(-2*x + 1)/(3*x + 2)^(11/2), x)","F",0
2662,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(3+5*x)^(5/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(3*x + 2)^(5/2)*sqrt(-2*x + 1), x)","F",0
2663,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(3+5*x)^(5/2)*(1-2*x)^(1/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(3*x + 2)^(3/2)*sqrt(-2*x + 1), x)","F",0
2664,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)*(2+3*x)^(1/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{3 \, x + 2} \sqrt{-2 \, x + 1}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(3*x + 2)*sqrt(-2*x + 1), x)","F",0
2665,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(-2*x + 1)/sqrt(3*x + 2), x)","F",0
2666,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(-2*x + 1)/(3*x + 2)^(3/2), x)","F",0
2667,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(-2*x + 1)/(3*x + 2)^(5/2), x)","F",0
2668,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(-2*x + 1)/(3*x + 2)^(7/2), x)","F",0
2669,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(-2*x + 1)/(3*x + 2)^(9/2), x)","F",0
2670,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^(11/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(-2*x + 1)/(3*x + 2)^(11/2), x)","F",0
2671,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)*(1-2*x)^(1/2)/(2+3*x)^(13/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}{{\left(3 \, x + 2\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(-2*x + 1)/(3*x + 2)^(13/2), x)","F",0
2672,0,0,0,0.000000," ","integrate((f*x+e)^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{f x + e}}{\sqrt{b x + a} \sqrt{d x + c}}\,{d x}"," ",0,"integrate(sqrt(f*x + e)/(sqrt(b*x + a)*sqrt(d*x + c)), x)","F",0
2673,0,0,0,0.000000," ","integrate((f*x+e)^(1/2)/(b*x+a)^(3/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{f x + e}}{{\left(b x + a\right)}^{\frac{3}{2}} \sqrt{d x + c}}\,{d x}"," ",0,"integrate(sqrt(f*x + e)/((b*x + a)^(3/2)*sqrt(d*x + c)), x)","F",0
2674,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(-3-5*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{\sqrt{3 \, x + 2} \sqrt{-5 \, x - 3}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/(sqrt(3*x + 2)*sqrt(-5*x - 3)), x)","F",0
2675,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}{\sqrt{5 \, x + 3}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)*sqrt(-2*x + 1)/sqrt(5*x + 3), x)","F",0
2676,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}{\sqrt{5 \, x + 3}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)*sqrt(-2*x + 1)/sqrt(5*x + 3), x)","F",0
2677,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)*(2+3*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2} \sqrt{-2 \, x + 1}}{\sqrt{5 \, x + 3}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)*sqrt(-2*x + 1)/sqrt(5*x + 3), x)","F",0
2678,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(2+3*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{\sqrt{5 \, x + 3} \sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/(sqrt(5*x + 3)*sqrt(3*x + 2)), x)","F",0
2679,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(2+3*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/(sqrt(5*x + 3)*(3*x + 2)^(3/2)), x)","F",0
2680,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(2+3*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/(sqrt(5*x + 3)*(3*x + 2)^(5/2)), x)","F",0
2681,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(2+3*x)^(7/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/(sqrt(5*x + 3)*(3*x + 2)^(7/2)), x)","F",0
2682,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)*(1-2*x)^(1/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}} \sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)*sqrt(-2*x + 1)/(5*x + 3)^(3/2), x)","F",0
2683,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(1-2*x)^(1/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)*sqrt(-2*x + 1)/(5*x + 3)^(3/2), x)","F",0
2684,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(1-2*x)^(1/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)*sqrt(-2*x + 1)/(5*x + 3)^(3/2), x)","F",0
2685,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)*(2+3*x)^(1/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2} \sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)*sqrt(-2*x + 1)/(5*x + 3)^(3/2), x)","F",0
2686,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(3+5*x)^(3/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/((5*x + 3)^(3/2)*sqrt(3*x + 2)), x)","F",0
2687,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(2+3*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/((5*x + 3)^(3/2)*(3*x + 2)^(3/2)), x)","F",0
2688,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(2+3*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/((5*x + 3)^(3/2)*(3*x + 2)^(5/2)), x)","F",0
2689,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(2+3*x)^(7/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/((5*x + 3)^(3/2)*(3*x + 2)^(7/2)), x)","F",0
2690,0,0,0,0.000000," ","integrate((2+3*x)^(9/2)*(1-2*x)^(1/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{9}{2}} \sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(9/2)*sqrt(-2*x + 1)/(5*x + 3)^(5/2), x)","F",0
2691,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)*(1-2*x)^(1/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}} \sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)*sqrt(-2*x + 1)/(5*x + 3)^(5/2), x)","F",0
2692,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(1-2*x)^(1/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)*sqrt(-2*x + 1)/(5*x + 3)^(5/2), x)","F",0
2693,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(1-2*x)^(1/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)*sqrt(-2*x + 1)/(5*x + 3)^(5/2), x)","F",0
2694,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)*(2+3*x)^(1/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2} \sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)*sqrt(-2*x + 1)/(5*x + 3)^(5/2), x)","F",0
2695,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(3+5*x)^(5/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/((5*x + 3)^(5/2)*sqrt(3*x + 2)), x)","F",0
2696,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(2+3*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/((5*x + 3)^(5/2)*(3*x + 2)^(3/2)), x)","F",0
2697,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(2+3*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/((5*x + 3)^(5/2)*(3*x + 2)^(5/2)), x)","F",0
2698,0,0,0,0.000000," ","integrate((1-2*x)^(1/2)/(2+3*x)^(7/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{-2 \, x + 1}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(-2*x + 1)/((5*x + 3)^(5/2)*(3*x + 2)^(7/2)), x)","F",0
2699,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(5/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(5/2)*(-2*x + 1)^(3/2), x)","F",0
2700,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(3/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(3/2)*(-2*x + 1)^(3/2), x)","F",0
2701,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(1/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{5 \, x + 3} \sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*sqrt(3*x + 2)*(-2*x + 1)^(3/2), x)","F",0
2702,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(3/2)/sqrt(3*x + 2), x)","F",0
2703,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(3/2)/(3*x + 2)^(3/2), x)","F",0
2704,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(3/2)/(3*x + 2)^(5/2), x)","F",0
2705,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(3/2)/(3*x + 2)^(7/2), x)","F",0
2706,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2)/(2+3*x)^(9/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(3/2)/(3*x + 2)^(9/2), x)","F",0
2707,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(1/2)/(2+3*x)^(11/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(3/2)/(3*x + 2)^(11/2), x)","F",0
2708,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(5/2)*(3+5*x)^(3/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(3*x + 2)^(5/2)*(-2*x + 1)^(3/2), x)","F",0
2709,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(3/2)*(3+5*x)^(3/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(3*x + 2)^(3/2)*(-2*x + 1)^(3/2), x)","F",0
2710,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)*(2+3*x)^(1/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*sqrt(3*x + 2)*(-2*x + 1)^(3/2), x)","F",0
2711,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(3/2)/sqrt(3*x + 2), x)","F",0
2712,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(3/2), x)","F",0
2713,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(5/2), x)","F",0
2714,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(7/2), x)","F",0
2715,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(9/2), x)","F",0
2716,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^(11/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(11/2), x)","F",0
2717,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(3/2)/(2+3*x)^(13/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(13/2), x)","F",0
2718,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(5/2)*(3+5*x)^(5/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(3*x + 2)^(5/2)*(-2*x + 1)^(3/2), x)","F",0
2719,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(3/2)*(3+5*x)^(5/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(3*x + 2)^(3/2)*(-2*x + 1)^(3/2), x)","F",0
2720,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)*(2+3*x)^(1/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(3*x + 2)*(-2*x + 1)^(3/2), x)","F",0
2721,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(3/2)/sqrt(3*x + 2), x)","F",0
2722,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(3/2), x)","F",0
2723,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(5/2), x)","F",0
2724,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(7/2), x)","F",0
2725,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(9/2), x)","F",0
2726,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^(11/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(11/2), x)","F",0
2727,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^(13/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(13/2), x)","F",0
2728,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(3+5*x)^(5/2)/(2+3*x)^(15/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(3/2)/(3*x + 2)^(15/2), x)","F",0
2729,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{\sqrt{5 \, x + 3}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)*(-2*x + 1)^(3/2)/sqrt(5*x + 3), x)","F",0
2730,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{\sqrt{5 \, x + 3}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)*(-2*x + 1)^(3/2)/sqrt(5*x + 3), x)","F",0
2731,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{\sqrt{5 \, x + 3}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)*(-2*x + 1)^(3/2)/sqrt(5*x + 3), x)","F",0
2732,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(2+3*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{\sqrt{5 \, x + 3} \sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/(sqrt(5*x + 3)*sqrt(3*x + 2)), x)","F",0
2733,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(2+3*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/(sqrt(5*x + 3)*(3*x + 2)^(3/2)), x)","F",0
2734,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(2+3*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/(sqrt(5*x + 3)*(3*x + 2)^(5/2)), x)","F",0
2735,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(2+3*x)^(7/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/(sqrt(5*x + 3)*(3*x + 2)^(7/2)), x)","F",0
2736,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(2+3*x)^(9/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/(sqrt(5*x + 3)*(3*x + 2)^(9/2)), x)","F",0
2737,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(7/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)*(-2*x + 1)^(3/2)/(5*x + 3)^(3/2), x)","F",0
2738,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)*(-2*x + 1)^(3/2)/(5*x + 3)^(3/2), x)","F",0
2739,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)*(-2*x + 1)^(3/2)/(5*x + 3)^(3/2), x)","F",0
2740,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(1/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)*(-2*x + 1)^(3/2)/(5*x + 3)^(3/2), x)","F",0
2741,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(3+5*x)^(3/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/((5*x + 3)^(3/2)*sqrt(3*x + 2)), x)","F",0
2742,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(2+3*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/((5*x + 3)^(3/2)*(3*x + 2)^(3/2)), x)","F",0
2743,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(2+3*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/((5*x + 3)^(3/2)*(3*x + 2)^(5/2)), x)","F",0
2744,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(2+3*x)^(7/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/((5*x + 3)^(3/2)*(3*x + 2)^(7/2)), x)","F",0
2745,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(2+3*x)^(9/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/((5*x + 3)^(3/2)*(3*x + 2)^(9/2)), x)","F",0
2746,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(7/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)*(-2*x + 1)^(3/2)/(5*x + 3)^(5/2), x)","F",0
2747,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)*(-2*x + 1)^(3/2)/(5*x + 3)^(5/2), x)","F",0
2748,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)*(-2*x + 1)^(3/2)/(5*x + 3)^(5/2), x)","F",0
2749,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)*(2+3*x)^(1/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)*(-2*x + 1)^(3/2)/(5*x + 3)^(5/2), x)","F",0
2750,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(3+5*x)^(5/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/((5*x + 3)^(5/2)*sqrt(3*x + 2)), x)","F",0
2751,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(2+3*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/((5*x + 3)^(5/2)*(3*x + 2)^(3/2)), x)","F",0
2752,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(2+3*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/((5*x + 3)^(5/2)*(3*x + 2)^(5/2)), x)","F",0
2753,0,0,0,0.000000," ","integrate((1-2*x)^(3/2)/(2+3*x)^(7/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(3/2)/((5*x + 3)^(5/2)*(3*x + 2)^(7/2)), x)","F",0
2754,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(5/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(5/2)*(-2*x + 1)^(5/2), x)","F",0
2755,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(3/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(3/2)*(-2*x + 1)^(5/2), x)","F",0
2756,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(1/2)*(3+5*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{5 \, x + 3} \sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*sqrt(3*x + 2)*(-2*x + 1)^(5/2), x)","F",0
2757,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(5/2)/sqrt(3*x + 2), x)","F",0
2758,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(5/2)/(3*x + 2)^(3/2), x)","F",0
2759,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(5/2)/(3*x + 2)^(5/2), x)","F",0
2760,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(5/2)/(3*x + 2)^(7/2), x)","F",0
2761,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^(9/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(5/2)/(3*x + 2)^(9/2), x)","F",0
2762,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^(11/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(5/2)/(3*x + 2)^(11/2), x)","F",0
2763,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(1/2)/(2+3*x)^(13/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(-2*x + 1)^(5/2)/(3*x + 2)^(13/2), x)","F",0
2764,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(5/2)*(3+5*x)^(3/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(3*x + 2)^(5/2)*(-2*x + 1)^(5/2), x)","F",0
2765,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(3/2)*(3+5*x)^(3/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(3*x + 2)^(3/2)*(-2*x + 1)^(5/2), x)","F",0
2766,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)*(2+3*x)^(1/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*sqrt(3*x + 2)*(-2*x + 1)^(5/2), x)","F",0
2767,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)/sqrt(3*x + 2), x)","F",0
2768,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(3/2), x)","F",0
2769,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(5/2), x)","F",0
2770,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(7/2), x)","F",0
2771,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(9/2), x)","F",0
2772,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^(11/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(11/2), x)","F",0
2773,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^(13/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(13/2), x)","F",0
2774,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(3/2)/(2+3*x)^(15/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(15/2), x)","F",0
2775,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(3/2)*(3+5*x)^(5/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(3*x + 2)^(3/2)*(-2*x + 1)^(5/2), x)","F",0
2776,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)*(2+3*x)^(1/2),x, algorithm=""giac"")","\int {\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(3*x + 2)*(-2*x + 1)^(5/2), x)","F",0
2777,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)/sqrt(3*x + 2), x)","F",0
2778,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(3/2), x)","F",0
2779,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(5/2), x)","F",0
2780,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(7/2), x)","F",0
2781,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(9/2), x)","F",0
2782,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^(11/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(11/2), x)","F",0
2783,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^(13/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(13/2), x)","F",0
2784,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^(15/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(15/2), x)","F",0
2785,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(3+5*x)^(5/2)/(2+3*x)^(17/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{17}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)/(3*x + 2)^(17/2), x)","F",0
2786,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{5 \, x + 3}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)*(-2*x + 1)^(5/2)/sqrt(5*x + 3), x)","F",0
2787,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{5 \, x + 3}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)*(-2*x + 1)^(5/2)/sqrt(5*x + 3), x)","F",0
2788,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{5 \, x + 3}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)*(-2*x + 1)^(5/2)/sqrt(5*x + 3), x)","F",0
2789,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{5 \, x + 3} \sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/(sqrt(5*x + 3)*sqrt(3*x + 2)), x)","F",0
2790,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/(sqrt(5*x + 3)*(3*x + 2)^(3/2)), x)","F",0
2791,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/(sqrt(5*x + 3)*(3*x + 2)^(5/2)), x)","F",0
2792,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(7/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/(sqrt(5*x + 3)*(3*x + 2)^(7/2)), x)","F",0
2793,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(9/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/(sqrt(5*x + 3)*(3*x + 2)^(9/2)), x)","F",0
2794,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(11/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/(sqrt(5*x + 3)*(3*x + 2)^(11/2)), x)","F",0
2795,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(13/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/(sqrt(5*x + 3)*(3*x + 2)^(13/2)), x)","F",0
2796,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(7/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)*(-2*x + 1)^(5/2)/(5*x + 3)^(3/2), x)","F",0
2797,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)*(-2*x + 1)^(5/2)/(5*x + 3)^(3/2), x)","F",0
2798,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)*(-2*x + 1)^(5/2)/(5*x + 3)^(3/2), x)","F",0
2799,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(1/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)*(-2*x + 1)^(5/2)/(5*x + 3)^(3/2), x)","F",0
2800,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(3+5*x)^(3/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/((5*x + 3)^(3/2)*sqrt(3*x + 2)), x)","F",0
2801,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/((5*x + 3)^(3/2)*(3*x + 2)^(3/2)), x)","F",0
2802,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/((5*x + 3)^(3/2)*(3*x + 2)^(5/2)), x)","F",0
2803,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(7/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/((5*x + 3)^(3/2)*(3*x + 2)^(7/2)), x)","F",0
2804,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(9/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/((5*x + 3)^(3/2)*(3*x + 2)^(9/2)), x)","F",0
2805,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(11/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/((5*x + 3)^(3/2)*(3*x + 2)^(11/2)), x)","F",0
2806,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(7/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)*(-2*x + 1)^(5/2)/(5*x + 3)^(5/2), x)","F",0
2807,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)*(-2*x + 1)^(5/2)/(5*x + 3)^(5/2), x)","F",0
2808,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)*(-2*x + 1)^(5/2)/(5*x + 3)^(5/2), x)","F",0
2809,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)*(2+3*x)^(1/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)*(-2*x + 1)^(5/2)/(5*x + 3)^(5/2), x)","F",0
2810,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(3+5*x)^(5/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{3 \, x + 2}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/((5*x + 3)^(5/2)*sqrt(3*x + 2)), x)","F",0
2811,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/((5*x + 3)^(5/2)*(3*x + 2)^(3/2)), x)","F",0
2812,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/((5*x + 3)^(5/2)*(3*x + 2)^(5/2)), x)","F",0
2813,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(7/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/((5*x + 3)^(5/2)*(3*x + 2)^(7/2)), x)","F",0
2814,0,0,0,0.000000," ","integrate((1-2*x)^(5/2)/(2+3*x)^(9/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((-2*x + 1)^(5/2)/((5*x + 3)^(5/2)*(3*x + 2)^(9/2)), x)","F",0
2815,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(3+5*x)^(1/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}{\sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(5/2)/sqrt(-2*x + 1), x)","F",0
2816,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(3+5*x)^(1/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}{\sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(3/2)/sqrt(-2*x + 1), x)","F",0
2817,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)*(3+5*x)^(1/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} \sqrt{3 \, x + 2}}{\sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*sqrt(3*x + 2)/sqrt(-2*x + 1), x)","F",0
2818,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(1-2*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3}}{\sqrt{3 \, x + 2} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/(sqrt(3*x + 2)*sqrt(-2*x + 1)), x)","F",0
2819,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(2+3*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/((3*x + 2)^(3/2)*sqrt(-2*x + 1)), x)","F",0
2820,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(2+3*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/((3*x + 2)^(5/2)*sqrt(-2*x + 1)), x)","F",0
2821,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(2+3*x)^(7/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/((3*x + 2)^(7/2)*sqrt(-2*x + 1)), x)","F",0
2822,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}{\sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(3*x + 2)^(5/2)/sqrt(-2*x + 1), x)","F",0
2823,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}{\sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(3*x + 2)^(3/2)/sqrt(-2*x + 1), x)","F",0
2824,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)*(2+3*x)^(1/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{3 \, x + 2}}{\sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*sqrt(3*x + 2)/sqrt(-2*x + 1), x)","F",0
2825,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)/(1-2*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}{\sqrt{3 \, x + 2} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)/(sqrt(3*x + 2)*sqrt(-2*x + 1)), x)","F",0
2826,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)/(2+3*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)/((3*x + 2)^(3/2)*sqrt(-2*x + 1)), x)","F",0
2827,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)/(2+3*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)/((3*x + 2)^(5/2)*sqrt(-2*x + 1)), x)","F",0
2828,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)/(2+3*x)^(7/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)/((3*x + 2)^(7/2)*sqrt(-2*x + 1)), x)","F",0
2829,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)/(2+3*x)^(9/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)/((3*x + 2)^(9/2)*sqrt(-2*x + 1)), x)","F",0
2830,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)*(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}{\sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(3*x + 2)^(7/2)/sqrt(-2*x + 1), x)","F",0
2831,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}{\sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(3*x + 2)^(5/2)/sqrt(-2*x + 1), x)","F",0
2832,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}{\sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(3*x + 2)^(3/2)/sqrt(-2*x + 1), x)","F",0
2833,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)*(2+3*x)^(1/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{3 \, x + 2}}{\sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(3*x + 2)/sqrt(-2*x + 1), x)","F",0
2834,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(1-2*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{\sqrt{3 \, x + 2} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/(sqrt(3*x + 2)*sqrt(-2*x + 1)), x)","F",0
2835,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(2+3*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/((3*x + 2)^(3/2)*sqrt(-2*x + 1)), x)","F",0
2836,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(2+3*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/((3*x + 2)^(5/2)*sqrt(-2*x + 1)), x)","F",0
2837,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(2+3*x)^(7/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/((3*x + 2)^(7/2)*sqrt(-2*x + 1)), x)","F",0
2838,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(2+3*x)^(9/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/((3*x + 2)^(9/2)*sqrt(-2*x + 1)), x)","F",0
2839,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(2+3*x)^(11/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{11}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/((3*x + 2)^(11/2)*sqrt(-2*x + 1)), x)","F",0
2840,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(2+3*x)^(13/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{13}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/((3*x + 2)^(13/2)*sqrt(-2*x + 1)), x)","F",0
2841,0,0,0,0.000000," ","integrate(1/(1+x)^(1/2)/(2+x)^(1/2)/(3+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x + 3} \sqrt{x + 2} \sqrt{x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(x + 3)*sqrt(x + 2)*sqrt(x + 1)), x)","F",0
2842,0,0,0,0.000000," ","integrate(1/(3-x)^(1/2)/(1+x)^(1/2)/(2+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x + 2} \sqrt{x + 1} \sqrt{-x + 3}}\,{d x}"," ",0,"integrate(1/(sqrt(x + 2)*sqrt(x + 1)*sqrt(-x + 3)), x)","F",0
2843,0,0,0,0.000000," ","integrate(1/(2-x)^(1/2)/(1+x)^(1/2)/(3+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x + 3} \sqrt{x + 1} \sqrt{-x + 2}}\,{d x}"," ",0,"integrate(1/(sqrt(x + 3)*sqrt(x + 1)*sqrt(-x + 2)), x)","F",0
2844,0,0,0,0.000000," ","integrate(1/(2-x)^(1/2)/(3-x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x + 1} \sqrt{-x + 3} \sqrt{-x + 2}}\,{d x}"," ",0,"integrate(1/(sqrt(x + 1)*sqrt(-x + 3)*sqrt(-x + 2)), x)","F",0
2845,0,0,0,0.000000," ","integrate(1/(1-x)^(1/2)/(2+x)^(1/2)/(3+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x + 3} \sqrt{x + 2} \sqrt{-x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(x + 3)*sqrt(x + 2)*sqrt(-x + 1)), x)","F",0
2846,0,0,0,0.000000," ","integrate(1/(1-x)^(1/2)/(3-x)^(1/2)/(2+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x + 2} \sqrt{-x + 3} \sqrt{-x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(x + 2)*sqrt(-x + 3)*sqrt(-x + 1)), x)","F",0
2847,0,0,0,0.000000," ","integrate(1/(1-x)^(1/2)/(2-x)^(1/2)/(3+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x + 3} \sqrt{-x + 2} \sqrt{-x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(x + 3)*sqrt(-x + 2)*sqrt(-x + 1)), x)","F",0
2848,0,0,0,0.000000," ","integrate(1/(1-x)^(1/2)/(2-x)^(1/2)/(3-x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-x + 3} \sqrt{-x + 2} \sqrt{-x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(-x + 3)*sqrt(-x + 2)*sqrt(-x + 1)), x)","F",0
2849,0,0,0,0.000000," ","integrate(1/(-3+x)^(1/2)/(-2+x)^(1/2)/(-1+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x - 1} \sqrt{x - 2} \sqrt{x - 3}}\,{d x}"," ",0,"integrate(1/(sqrt(x - 1)*sqrt(x - 2)*sqrt(x - 3)), x)","F",0
2850,0,0,0,0.000000," ","integrate(1/(-3-x)^(1/2)/(-2+x)^(1/2)/(-1+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x - 1} \sqrt{x - 2} \sqrt{-x - 3}}\,{d x}"," ",0,"integrate(1/(sqrt(x - 1)*sqrt(x - 2)*sqrt(-x - 3)), x)","F",0
2851,0,0,0,0.000000," ","integrate(1/(-2-x)^(1/2)/(-3+x)^(1/2)/(-1+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x - 1} \sqrt{x - 3} \sqrt{-x - 2}}\,{d x}"," ",0,"integrate(1/(sqrt(x - 1)*sqrt(x - 3)*sqrt(-x - 2)), x)","F",0
2852,0,0,0,0.000000," ","integrate(1/(-3-x)^(1/2)/(-2-x)^(1/2)/(-1+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x - 1} \sqrt{-x - 2} \sqrt{-x - 3}}\,{d x}"," ",0,"integrate(1/(sqrt(x - 1)*sqrt(-x - 2)*sqrt(-x - 3)), x)","F",0
2853,0,0,0,0.000000," ","integrate(1/(-1-x)^(1/2)/(-3+x)^(1/2)/(-2+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x - 2} \sqrt{x - 3} \sqrt{-x - 1}}\,{d x}"," ",0,"integrate(1/(sqrt(x - 2)*sqrt(x - 3)*sqrt(-x - 1)), x)","F",0
2854,0,0,0,0.000000," ","integrate(1/(-3-x)^(1/2)/(-1-x)^(1/2)/(-2+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x - 2} \sqrt{-x - 1} \sqrt{-x - 3}}\,{d x}"," ",0,"integrate(1/(sqrt(x - 2)*sqrt(-x - 1)*sqrt(-x - 3)), x)","F",0
2855,0,0,0,0.000000," ","integrate(1/(-2-x)^(1/2)/(-1-x)^(1/2)/(-3+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x - 3} \sqrt{-x - 1} \sqrt{-x - 2}}\,{d x}"," ",0,"integrate(1/(sqrt(x - 3)*sqrt(-x - 1)*sqrt(-x - 2)), x)","F",0
2856,0,0,0,0.000000," ","integrate(1/(-3-x)^(1/2)/(-2-x)^(1/2)/(-1-x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-x - 1} \sqrt{-x - 2} \sqrt{-x - 3}}\,{d x}"," ",0,"integrate(1/(sqrt(-x - 1)*sqrt(-x - 2)*sqrt(-x - 3)), x)","F",0
2857,-1,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2858,-1,0,0,0.000000," ","integrate(1/(b*x+a)^(5/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2859,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}{\sqrt{5 \, x + 3} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)/(sqrt(5*x + 3)*sqrt(-2*x + 1)), x)","F",0
2860,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}{\sqrt{5 \, x + 3} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)/(sqrt(5*x + 3)*sqrt(-2*x + 1)), x)","F",0
2861,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}{\sqrt{5 \, x + 3} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)/(sqrt(5*x + 3)*sqrt(-2*x + 1)), x)","F",0
2862,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2}}{\sqrt{5 \, x + 3} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)/(sqrt(5*x + 3)*sqrt(-2*x + 1)), x)","F",0
2863,0,0,0,0.000000," ","integrate(1/(1-2*x)^(1/2)/(2+3*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{5 \, x + 3} \sqrt{3 \, x + 2} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x + 3)*sqrt(3*x + 2)*sqrt(-2*x + 1)), x)","F",0
2864,0,0,0,0.000000," ","integrate(1/(2+3*x)^(3/2)/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x + 3)*(3*x + 2)^(3/2)*sqrt(-2*x + 1)), x)","F",0
2865,0,0,0,0.000000," ","integrate(1/(2+3*x)^(5/2)/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x + 3)*(3*x + 2)^(5/2)*sqrt(-2*x + 1)), x)","F",0
2866,0,0,0,0.000000," ","integrate(1/(2+3*x)^(7/2)/(1-2*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{7}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x + 3)*(3*x + 2)^(7/2)*sqrt(-2*x + 1)), x)","F",0
2867,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)/((5*x + 3)^(3/2)*sqrt(-2*x + 1)), x)","F",0
2868,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)/((5*x + 3)^(3/2)*sqrt(-2*x + 1)), x)","F",0
2869,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)/((5*x + 3)^(3/2)*sqrt(-2*x + 1)), x)","F",0
2870,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)/((5*x + 3)^(3/2)*sqrt(-2*x + 1)), x)","F",0
2871,0,0,0,0.000000," ","integrate(1/(3+5*x)^(3/2)/(1-2*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{3 \, x + 2} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(3/2)*sqrt(3*x + 2)*sqrt(-2*x + 1)), x)","F",0
2872,0,0,0,0.000000," ","integrate(1/(2+3*x)^(3/2)/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(3/2)*(3*x + 2)^(3/2)*sqrt(-2*x + 1)), x)","F",0
2873,0,0,0,0.000000," ","integrate(1/(2+3*x)^(5/2)/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(3/2)*(3*x + 2)^(5/2)*sqrt(-2*x + 1)), x)","F",0
2874,0,0,0,0.000000," ","integrate(1/(2+3*x)^(7/2)/(3+5*x)^(3/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(3/2)*(3*x + 2)^(7/2)*sqrt(-2*x + 1)), x)","F",0
2875,0,0,0,0.000000," ","integrate((2+3*x)^(9/2)/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((3*x + 2)^(9/2)/((5*x + 3)^(5/2)*sqrt(-2*x + 1)), x)","F",0
2876,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)/((5*x + 3)^(5/2)*sqrt(-2*x + 1)), x)","F",0
2877,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)/((5*x + 3)^(5/2)*sqrt(-2*x + 1)), x)","F",0
2878,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)/((5*x + 3)^(5/2)*sqrt(-2*x + 1)), x)","F",0
2879,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)/((5*x + 3)^(5/2)*sqrt(-2*x + 1)), x)","F",0
2880,0,0,0,0.000000," ","integrate(1/(3+5*x)^(5/2)/(1-2*x)^(1/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{3 \, x + 2} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(5/2)*sqrt(3*x + 2)*sqrt(-2*x + 1)), x)","F",0
2881,0,0,0,0.000000," ","integrate(1/(2+3*x)^(3/2)/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(5/2)*(3*x + 2)^(3/2)*sqrt(-2*x + 1)), x)","F",0
2882,0,0,0,0.000000," ","integrate(1/(2+3*x)^(5/2)/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(5/2)*(3*x + 2)^(5/2)*sqrt(-2*x + 1)), x)","F",0
2883,0,0,0,0.000000," ","integrate(1/(2+3*x)^(7/2)/(3+5*x)^(5/2)/(1-2*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}} \sqrt{-2 \, x + 1}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(5/2)*(3*x + 2)^(7/2)*sqrt(-2*x + 1)), x)","F",0
2884,0,0,0,0.000000," ","integrate(x^(1/2)/(a+2*x)^(1/2)/(c+2*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{x}}{\sqrt{a + 2 \, x} \sqrt{c + 2 \, x}}\,{d x}"," ",0,"integrate(sqrt(x)/(sqrt(a + 2*x)*sqrt(c + 2*x)), x)","F",0
2885,0,0,0,0.000000," ","integrate(1/(4-x)^(1/2)/(5-x)^(1/2)/(-3+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x - 3} \sqrt{-x + 5} \sqrt{-x + 4}}\,{d x}"," ",0,"integrate(1/(sqrt(x - 3)*sqrt(-x + 5)*sqrt(-x + 4)), x)","F",0
2886,0,0,0,0.000000," ","integrate(1/(4-x)^(1/2)/((5-x)*(-3+x))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-{\left(x - 3\right)} {\left(x - 5\right)}} \sqrt{-x + 4}}\,{d x}"," ",0,"integrate(1/(sqrt(-(x - 3)*(x - 5))*sqrt(-x + 4)), x)","F",0
2887,0,0,0,0.000000," ","integrate(1/(4-x)^(1/2)/(-x^2+8*x-15)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-x^{2} + 8 \, x - 15} \sqrt{-x + 4}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^2 + 8*x - 15)*sqrt(-x + 4)), x)","F",0
2888,0,0,0,0.000000," ","integrate(1/(6-x)^(1/2)/(-2+x)^(1/2)/(-1+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{x - 1} \sqrt{x - 2} \sqrt{-x + 6}}\,{d x}"," ",0,"integrate(1/(sqrt(x - 1)*sqrt(x - 2)*sqrt(-x + 6)), x)","F",0
2889,0,0,0,0.000000," ","integrate(1/((6-x)*(-2+x))^(1/2)/(-1+x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-{\left(x - 2\right)} {\left(x - 6\right)}} \sqrt{x - 1}}\,{d x}"," ",0,"integrate(1/(sqrt(-(x - 2)*(x - 6))*sqrt(x - 1)), x)","F",0
2890,0,0,0,0.000000," ","integrate(1/(-1+x)^(1/2)/(-x^2+8*x-12)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-x^{2} + 8 \, x - 12} \sqrt{x - 1}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^2 + 8*x - 12)*sqrt(x - 1)), x)","F",0
2891,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)*(3+5*x)^(1/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(7/2)/(-2*x + 1)^(3/2), x)","F",0
2892,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(3+5*x)^(1/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(5/2)/(-2*x + 1)^(3/2), x)","F",0
2893,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(3+5*x)^(1/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(3/2)/(-2*x + 1)^(3/2), x)","F",0
2894,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)*(3+5*x)^(1/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} \sqrt{3 \, x + 2}}{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*sqrt(3*x + 2)/(-2*x + 1)^(3/2), x)","F",0
2895,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(1-2*x)^(3/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3}}{\sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/(sqrt(3*x + 2)*(-2*x + 1)^(3/2)), x)","F",0
2896,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(1-2*x)^(3/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/((3*x + 2)^(3/2)*(-2*x + 1)^(3/2)), x)","F",0
2897,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(1-2*x)^(3/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/((3*x + 2)^(5/2)*(-2*x + 1)^(3/2)), x)","F",0
2898,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(1-2*x)^(3/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/((3*x + 2)^(7/2)*(-2*x + 1)^(3/2)), x)","F",0
2899,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)*(3+5*x)^(3/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(3*x + 2)^(7/2)/(-2*x + 1)^(3/2), x)","F",0
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2907,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)/(1-2*x)^(3/2)/(2+3*x)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)/((3*x + 2)^(9/2)*(-2*x + 1)^(3/2)), x)","F",0
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2910,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(3+5*x)^(5/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(3*x + 2)^(3/2)/(-2*x + 1)^(3/2), x)","F",0
2911,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)*(2+3*x)^(1/2)/(1-2*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{3 \, x + 2}}{{\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(3*x + 2)/(-2*x + 1)^(3/2), x)","F",0
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2916,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(1-2*x)^(3/2)/(2+3*x)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/((3*x + 2)^(9/2)*(-2*x + 1)^(3/2)), x)","F",0
2917,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(1-2*x)^(3/2)/(2+3*x)^(11/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{11}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/((3*x + 2)^(11/2)*(-2*x + 1)^(3/2)), x)","F",0
2918,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)/(1-2*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)/(sqrt(5*x + 3)*(-2*x + 1)^(3/2)), x)","F",0
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2920,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)/(1-2*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)/(sqrt(5*x + 3)*(-2*x + 1)^(3/2)), x)","F",0
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2923,0,0,0,0.000000," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x + 3)*(3*x + 2)^(3/2)*(-2*x + 1)^(3/2)), x)","F",0
2924,0,0,0,0.000000," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x + 3)*(3*x + 2)^(5/2)*(-2*x + 1)^(3/2)), x)","F",0
2925,0,0,0,0.000000," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^(7/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{7}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x + 3)*(3*x + 2)^(7/2)*(-2*x + 1)^(3/2)), x)","F",0
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2928,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)/(1-2*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)/((5*x + 3)^(3/2)*(-2*x + 1)^(3/2)), x)","F",0
2929,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)/(1-2*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)/((5*x + 3)^(3/2)*(-2*x + 1)^(3/2)), x)","F",0
2930,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)/(1-2*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)/((5*x + 3)^(3/2)*(-2*x + 1)^(3/2)), x)","F",0
2931,0,0,0,0.000000," ","integrate(1/(1-2*x)^(3/2)/(3+5*x)^(3/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(3/2)*sqrt(3*x + 2)*(-2*x + 1)^(3/2)), x)","F",0
2932,0,0,0,0.000000," ","integrate(1/(1-2*x)^(3/2)/(2+3*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(3/2)*(3*x + 2)^(3/2)*(-2*x + 1)^(3/2)), x)","F",0
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2935,0,0,0,0.000000," ","integrate((2+3*x)^(11/2)/(1-2*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{11}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(11/2)/((5*x + 3)^(5/2)*(-2*x + 1)^(3/2)), x)","F",0
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2937,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)/(1-2*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)/((5*x + 3)^(5/2)*(-2*x + 1)^(3/2)), x)","F",0
2938,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)/(1-2*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)/((5*x + 3)^(5/2)*(-2*x + 1)^(3/2)), x)","F",0
2939,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)/(1-2*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)/((5*x + 3)^(5/2)*(-2*x + 1)^(3/2)), x)","F",0
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2947,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(3+5*x)^(1/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(5/2)/(-2*x + 1)^(5/2), x)","F",0
2948,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(3+5*x)^(1/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*(3*x + 2)^(3/2)/(-2*x + 1)^(5/2), x)","F",0
2949,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)*(3+5*x)^(1/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3} \sqrt{3 \, x + 2}}{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)*sqrt(3*x + 2)/(-2*x + 1)^(5/2), x)","F",0
2950,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(1-2*x)^(5/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3}}{\sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/(sqrt(3*x + 2)*(-2*x + 1)^(5/2)), x)","F",0
2951,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(1-2*x)^(5/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/((3*x + 2)^(3/2)*(-2*x + 1)^(5/2)), x)","F",0
2952,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(1-2*x)^(5/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/((3*x + 2)^(5/2)*(-2*x + 1)^(5/2)), x)","F",0
2953,0,0,0,0.000000," ","integrate((3+5*x)^(1/2)/(1-2*x)^(5/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{\sqrt{5 \, x + 3}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(5*x + 3)/((3*x + 2)^(7/2)*(-2*x + 1)^(5/2)), x)","F",0
2954,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)*(3+5*x)^(3/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(3*x + 2)^(7/2)/(-2*x + 1)^(5/2), x)","F",0
2955,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(3+5*x)^(3/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(3*x + 2)^(5/2)/(-2*x + 1)^(5/2), x)","F",0
2956,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(3+5*x)^(3/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*(3*x + 2)^(3/2)/(-2*x + 1)^(5/2), x)","F",0
2957,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)*(2+3*x)^(1/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{3 \, x + 2}}{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)*sqrt(3*x + 2)/(-2*x + 1)^(5/2), x)","F",0
2958,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)/(1-2*x)^(5/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}{\sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)/(sqrt(3*x + 2)*(-2*x + 1)^(5/2)), x)","F",0
2959,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)/(1-2*x)^(5/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)/((3*x + 2)^(3/2)*(-2*x + 1)^(5/2)), x)","F",0
2960,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)/(1-2*x)^(5/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)/((3*x + 2)^(5/2)*(-2*x + 1)^(5/2)), x)","F",0
2961,0,0,0,0.000000," ","integrate((3+5*x)^(3/2)/(1-2*x)^(5/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{3}{2}}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(3/2)/((3*x + 2)^(7/2)*(-2*x + 1)^(5/2)), x)","F",0
2962,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)*(3+5*x)^(5/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(3*x + 2)^(7/2)/(-2*x + 1)^(5/2), x)","F",0
2963,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)*(3+5*x)^(5/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(3*x + 2)^(5/2)/(-2*x + 1)^(5/2), x)","F",0
2964,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)*(3+5*x)^(5/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}}}{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*(3*x + 2)^(3/2)/(-2*x + 1)^(5/2), x)","F",0
2965,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)*(2+3*x)^(1/2)/(1-2*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{3 \, x + 2}}{{\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)*sqrt(3*x + 2)/(-2*x + 1)^(5/2), x)","F",0
2966,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(1-2*x)^(5/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{\sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/(sqrt(3*x + 2)*(-2*x + 1)^(5/2)), x)","F",0
2967,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(1-2*x)^(5/2)/(2+3*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/((3*x + 2)^(3/2)*(-2*x + 1)^(5/2)), x)","F",0
2968,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(1-2*x)^(5/2)/(2+3*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/((3*x + 2)^(5/2)*(-2*x + 1)^(5/2)), x)","F",0
2969,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(1-2*x)^(5/2)/(2+3*x)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{7}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/((3*x + 2)^(7/2)*(-2*x + 1)^(5/2)), x)","F",0
2970,0,0,0,0.000000," ","integrate((3+5*x)^(5/2)/(1-2*x)^(5/2)/(2+3*x)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(5 \, x + 3\right)}^{\frac{5}{2}}}{{\left(3 \, x + 2\right)}^{\frac{9}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((5*x + 3)^(5/2)/((3*x + 2)^(9/2)*(-2*x + 1)^(5/2)), x)","F",0
2971,0,0,0,0.000000," ","integrate((2+3*x)^(9/2)/(1-2*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(9/2)/(sqrt(5*x + 3)*(-2*x + 1)^(5/2)), x)","F",0
2972,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)/(1-2*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)/(sqrt(5*x + 3)*(-2*x + 1)^(5/2)), x)","F",0
2973,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)/(1-2*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)/(sqrt(5*x + 3)*(-2*x + 1)^(5/2)), x)","F",0
2974,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)/(1-2*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)/(sqrt(5*x + 3)*(-2*x + 1)^(5/2)), x)","F",0
2975,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)/(1-2*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2}}{\sqrt{5 \, x + 3} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)/(sqrt(5*x + 3)*(-2*x + 1)^(5/2)), x)","F",0
2976,0,0,0,0.000000," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^(1/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{5 \, x + 3} \sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x + 3)*sqrt(3*x + 2)*(-2*x + 1)^(5/2)), x)","F",0
2977,0,0,0,0.000000," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^(3/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x + 3)*(3*x + 2)^(3/2)*(-2*x + 1)^(5/2)), x)","F",0
2978,0,0,0,0.000000," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^(5/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x + 3)*(3*x + 2)^(5/2)*(-2*x + 1)^(5/2)), x)","F",0
2979,0,0,0,0.000000," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^(7/2)/(3+5*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{5 \, x + 3} {\left(3 \, x + 2\right)}^{\frac{7}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x + 3)*(3*x + 2)^(7/2)*(-2*x + 1)^(5/2)), x)","F",0
2980,0,0,0,0.000000," ","integrate((2+3*x)^(11/2)/(1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{11}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(11/2)/((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)), x)","F",0
2981,0,0,0,0.000000," ","integrate((2+3*x)^(9/2)/(1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(9/2)/((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)), x)","F",0
2982,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)/(1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)/((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)), x)","F",0
2983,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)/(1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)/((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)), x)","F",0
2984,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)/(1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)/((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)), x)","F",0
2985,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)/(1-2*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2}}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)/((5*x + 3)^(3/2)*(-2*x + 1)^(5/2)), x)","F",0
2986,0,0,0,0.000000," ","integrate(1/(1-2*x)^(5/2)/(3+5*x)^(3/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} \sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(3/2)*sqrt(3*x + 2)*(-2*x + 1)^(5/2)), x)","F",0
2987,0,0,0,0.000000," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^(3/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(3/2)*(3*x + 2)^(3/2)*(-2*x + 1)^(5/2)), x)","F",0
2988,0,0,0,0.000000," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^(5/2)/(3+5*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{3}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(3/2)*(3*x + 2)^(5/2)*(-2*x + 1)^(5/2)), x)","F",0
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2990,0,0,0,0.000000," ","integrate((2+3*x)^(13/2)/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{13}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(13/2)/((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)), x)","F",0
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2992,0,0,0,0.000000," ","integrate((2+3*x)^(9/2)/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{9}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(9/2)/((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)), x)","F",0
2993,0,0,0,0.000000," ","integrate((2+3*x)^(7/2)/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{7}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(7/2)/((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)), x)","F",0
2994,0,0,0,0.000000," ","integrate((2+3*x)^(5/2)/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{5}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(5/2)/((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)), x)","F",0
2995,0,0,0,0.000000," ","integrate((2+3*x)^(3/2)/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{\frac{3}{2}}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((3*x + 2)^(3/2)/((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)), x)","F",0
2996,0,0,0,0.000000," ","integrate((2+3*x)^(1/2)/(1-2*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{3 \, x + 2}}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(3*x + 2)/((5*x + 3)^(5/2)*(-2*x + 1)^(5/2)), x)","F",0
2997,0,0,0,0.000000," ","integrate(1/(1-2*x)^(5/2)/(3+5*x)^(5/2)/(2+3*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} \sqrt{3 \, x + 2} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(5/2)*sqrt(3*x + 2)*(-2*x + 1)^(5/2)), x)","F",0
2998,0,0,0,0.000000," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^(3/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{3}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(5/2)*(3*x + 2)^(3/2)*(-2*x + 1)^(5/2)), x)","F",0
2999,0,0,0,0.000000," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^(5/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{5}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(5/2)*(3*x + 2)^(5/2)*(-2*x + 1)^(5/2)), x)","F",0
3000,0,0,0,0.000000," ","integrate(1/(1-2*x)^(5/2)/(2+3*x)^(7/2)/(3+5*x)^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(5 \, x + 3\right)}^{\frac{5}{2}} {\left(3 \, x + 2\right)}^{\frac{7}{2}} {\left(-2 \, x + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((5*x + 3)^(5/2)*(3*x + 2)^(7/2)*(-2*x + 1)^(5/2)), x)","F",0
3001,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(d*x+c)^(2/3)*(f*x+e)^2,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} {\left(f x + e\right)}^{2}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)*(d*x + c)^(2/3)*(f*x + e)^2, x)","F",0
3002,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(d*x+c)^(2/3)*(f*x+e),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} {\left(f x + e\right)}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)*(d*x + c)^(2/3)*(f*x + e), x)","F",0
3003,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(d*x+c)^(2/3),x, algorithm=""giac"")","\int {\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
3004,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(d*x+c)^(2/3)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{f x + e}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)*(d*x + c)^(2/3)/(f*x + e), x)","F",0
3005,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(d*x+c)^(2/3)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)*(d*x + c)^(2/3)/(f*x + e)^2, x)","F",0
3006,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(d*x+c)^(2/3)/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{{\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)*(d*x + c)^(2/3)/(f*x + e)^3, x)","F",0
3007,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(d*x+c)^(2/3)/(f*x+e)^4,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}{{\left(f x + e\right)}^{4}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)*(d*x + c)^(2/3)/(f*x + e)^4, x)","F",0
3008,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(f*x+e)^2/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(f x + e\right)}^{2}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)*(f*x + e)^2/(d*x + c)^(1/3), x)","F",0
3009,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(f*x+e)/(d*x+c)^(1/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}} {\left(f x + e\right)}}{{\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)*(f*x + e)/(d*x + c)^(1/3), x)","F",0
3010,0,0,0,0.000000," ","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
3011,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)/(d*x+c)^(1/3)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}} {\left(f x + e\right)}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)/((d*x + c)^(1/3)*(f*x + e)), x)","F",0
3012,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)/(d*x+c)^(1/3)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}} {\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)/((d*x + c)^(1/3)*(f*x + e)^2), x)","F",0
3013,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)/(d*x+c)^(1/3)/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}} {\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)/((d*x + c)^(1/3)*(f*x + e)^3), x)","F",0
3014,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)/(d*x+c)^(1/3)/(f*x+e)^4,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}}}{{\left(d x + c\right)}^{\frac{1}{3}} {\left(f x + e\right)}^{4}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)/((d*x + c)^(1/3)*(f*x + e)^4), x)","F",0
3015,0,0,0,0.000000," ","integrate((f*x+e)^3/(b*x+a)^(1/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3}}{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((f*x + e)^3/((b*x + a)^(1/3)*(d*x + c)^(2/3)), x)","F",0
3016,0,0,0,0.000000," ","integrate((f*x+e)^2/(b*x+a)^(1/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2}}{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((f*x + e)^2/((b*x + a)^(1/3)*(d*x + c)^(2/3)), x)","F",0
3017,0,0,0,0.000000," ","integrate((f*x+e)/(b*x+a)^(1/3)/(d*x+c)^(2/3),x, algorithm=""giac"")","\int \frac{f x + e}{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((f*x + e)/((b*x + a)^(1/3)*(d*x + c)^(2/3)), x)","F",0
3018,0,0,0,0.000000," ","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
3019,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/3)/(d*x+c)^(2/3)/(f*x+e),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} {\left(f x + e\right)}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/3)*(d*x + c)^(2/3)*(f*x + e)), x)","F",0
3020,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/3)/(d*x+c)^(2/3)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} {\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/3)*(d*x + c)^(2/3)*(f*x + e)^2), x)","F",0
3021,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/3)/(d*x+c)^(2/3)/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{2}{3}} {\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(1/3)*(d*x + c)^(2/3)*(f*x + e)^3), x)","F",0
3022,0,0,0,0.000000," ","integrate((b*x+a)^3/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{3}}{{\left(2 \, b d x + b c + a d\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^3/((2*b*d*x + b*c + a*d)^(1/3)*(d*x + c)^(1/3)), x)","F",0
3023,0,0,0,0.000000," ","integrate((b*x+a)^2/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{2}}{{\left(2 \, b d x + b c + a d\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^2/((2*b*d*x + b*c + a*d)^(1/3)*(d*x + c)^(1/3)), x)","F",0
3024,0,0,0,0.000000," ","integrate((b*x+a)/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x, algorithm=""giac"")","\int \frac{b x + a}{{\left(2 \, b d x + b c + a d\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)/((2*b*d*x + b*c + a*d)^(1/3)*(d*x + c)^(1/3)), x)","F",0
3025,0,0,0,0.000000," ","integrate(1/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(2 \, b d x + b c + a d\right)}^{\frac{1}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((2*b*d*x + b*c + a*d)^(1/3)*(d*x + c)^(1/3)), x)","F",0
3026,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(2 \, b d x + b c + a d\right)}^{\frac{1}{3}} {\left(b x + a\right)} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((2*b*d*x + b*c + a*d)^(1/3)*(b*x + a)*(d*x + c)^(1/3)), x)","F",0
3027,0,0,0,0.000000," ","integrate(1/(b*x+a)^2/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(2 \, b d x + b c + a d\right)}^{\frac{1}{3}} {\left(b x + a\right)}^{2} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((2*b*d*x + b*c + a*d)^(1/3)*(b*x + a)^2*(d*x + c)^(1/3)), x)","F",0
3028,0,0,0,0.000000," ","integrate(1/(b*x+a)^3/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(2 \, b d x + b c + a d\right)}^{\frac{1}{3}} {\left(b x + a\right)}^{3} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((2*b*d*x + b*c + a*d)^(1/3)*(b*x + a)^3*(d*x + c)^(1/3)), x)","F",0
3029,0,0,0,0.000000," ","integrate((b*x+a)^3/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{3}}{{\left(2 \, b d x + b c + a d\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^3/((2*b*d*x + b*c + a*d)^(4/3)*(d*x + c)^(1/3)), x)","F",0
3030,0,0,0,0.000000," ","integrate((b*x+a)^2/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{2}}{{\left(2 \, b d x + b c + a d\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^2/((2*b*d*x + b*c + a*d)^(4/3)*(d*x + c)^(1/3)), x)","F",0
3031,0,0,0,0.000000," ","integrate((b*x+a)/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x, algorithm=""giac"")","\int \frac{b x + a}{{\left(2 \, b d x + b c + a d\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)/((2*b*d*x + b*c + a*d)^(4/3)*(d*x + c)^(1/3)), x)","F",0
3032,0,0,0,0.000000," ","integrate(1/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x, algorithm=""giac"")","\int \frac{1}{{\left(2 \, b d x + b c + a d\right)}^{\frac{4}{3}} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((2*b*d*x + b*c + a*d)^(4/3)*(d*x + c)^(1/3)), x)","F",0
3033,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x, algorithm=""giac"")","\int \frac{1}{{\left(2 \, b d x + b c + a d\right)}^{\frac{4}{3}} {\left(b x + a\right)} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((2*b*d*x + b*c + a*d)^(4/3)*(b*x + a)*(d*x + c)^(1/3)), x)","F",0
3034,0,0,0,0.000000," ","integrate(1/(b*x+a)^2/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x, algorithm=""giac"")","\int \frac{1}{{\left(2 \, b d x + b c + a d\right)}^{\frac{4}{3}} {\left(b x + a\right)}^{2} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((2*b*d*x + b*c + a*d)^(4/3)*(b*x + a)^2*(d*x + c)^(1/3)), x)","F",0
3035,0,0,0,0.000000," ","integrate(1/(b*x+a)^3/(d*x+c)^(1/3)/(2*b*d*x+a*d+b*c)^(4/3),x, algorithm=""giac"")","\int \frac{1}{{\left(2 \, b d x + b c + a d\right)}^{\frac{4}{3}} {\left(b x + a\right)}^{3} {\left(d x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((2*b*d*x + b*c + a*d)^(4/3)*(b*x + a)^3*(d*x + c)^(1/3)), x)","F",0
3036,0,0,0,0.000000," ","integrate(1/(-3*e*x+d)^(1/3)/(e*x+d)/(3*e*x+d)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(3 \, e x + d\right)}^{\frac{1}{3}} {\left(e x + d\right)} {\left(-3 \, e x + d\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((3*e*x + d)^(1/3)*(e*x + d)*(-3*e*x + d)^(1/3)), x)","F",0
3037,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)*(f*x+e)^2/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}} {\left(f x + e\right)}^{2}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)*(f*x + e)^2/(d*x + c)^(4/3), x)","F",0
3038,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)*(f*x+e)/(d*x+c)^(4/3),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}} {\left(f x + e\right)}}{{\left(d x + c\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)*(f*x + e)/(d*x + c)^(4/3), x)","F",0
3039,0,0,0,0.000000," ","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
3040,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)/(d*x+c)^(4/3)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}} {\left(f x + e\right)}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)/((d*x + c)^(4/3)*(f*x + e)), x)","F",0
3041,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)/(d*x+c)^(4/3)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}} {\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)/((d*x + c)^(4/3)*(f*x + e)^2), x)","F",0
3042,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)/(d*x+c)^(4/3)/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}} {\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)/((d*x + c)^(4/3)*(f*x + e)^3), x)","F",0
3043,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)/(d*x+c)^(4/3)/(f*x+e)^4,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}}}{{\left(d x + c\right)}^{\frac{4}{3}} {\left(f x + e\right)}^{4}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)/((d*x + c)^(4/3)*(f*x + e)^4), x)","F",0
3044,0,0,0,0.000000," ","integrate(1/(b*x+a)/(f*x+e)^(1/4)/(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)} \sqrt{d x + c} {\left(f x + e\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)*sqrt(d*x + c)*(f*x + e)^(1/4)), x)","F",0
3045,0,0,0,0.000000," ","integrate(1/(b*x+a)/(f*x+e)^(3/4)/(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b x + a\right)} \sqrt{d x + c} {\left(f x + e\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(1/((b*x + a)*sqrt(d*x + c)*(f*x + e)^(3/4)), x)","F",0
3046,0,0,0,0.000000," ","integrate((b*x+a)^p*(B*x+A)*(e*x+d)^(-2-p),x, algorithm=""giac"")","\int {\left(B x + A\right)} {\left(b x + a\right)}^{p} {\left(e x + d\right)}^{-p - 2}\,{d x}"," ",0,"integrate((B*x + A)*(b*x + a)^p*(e*x + d)^(-p - 2), x)","F",0
3047,0,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)^n/((f*x+e)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)} {\left(d x + c\right)}^{n}}{{\left(f x + e\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)*(d*x + c)^n/(f*x + e)^n, x)","F",0
3048,0,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)^(-1+n)/((f*x+e)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)} {\left(d x + c\right)}^{n - 1}}{{\left(f x + e\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)*(d*x + c)^(n - 1)/(f*x + e)^n, x)","F",0
3049,0,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)^(-2+n)/((f*x+e)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)} {\left(d x + c\right)}^{n - 2}}{{\left(f x + e\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)*(d*x + c)^(n - 2)/(f*x + e)^n, x)","F",0
3050,1,1058,0,1.177757," ","integrate((b*x+a)*(d*x+c)^(-3+n)/((f*x+e)^n),x, algorithm=""giac"")","-\frac{\frac{b c d f^{2} n x^{3} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right)\right)}}{{\left(f x + e\right)}^{n}} - \frac{b d^{2} f n x^{3} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 1\right)}}{{\left(f x + e\right)}^{n}} + \frac{b c^{2} f^{2} n x^{2} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right)\right)}}{{\left(f x + e\right)}^{n}} + \frac{a c d f^{2} n x^{2} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right)\right)}}{{\left(f x + e\right)}^{n}} - \frac{b c d f^{2} x^{3} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right)\right)}}{{\left(f x + e\right)}^{n}} - \frac{a d^{2} f^{2} x^{3} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right)\right)}}{{\left(f x + e\right)}^{n}} - \frac{a d^{2} f n x^{2} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 1\right)}}{{\left(f x + e\right)}^{n}} + \frac{2 \, b d^{2} f x^{3} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 1\right)}}{{\left(f x + e\right)}^{n}} + \frac{a c^{2} f^{2} n x e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right)\right)}}{{\left(f x + e\right)}^{n}} - \frac{b c^{2} f^{2} x^{2} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right)\right)}}{{\left(f x + e\right)}^{n}} - \frac{3 \, a c d f^{2} x^{2} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right)\right)}}{{\left(f x + e\right)}^{n}} - \frac{b d^{2} n x^{2} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 2\right)}}{{\left(f x + e\right)}^{n}} + \frac{b c^{2} f n x e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 1\right)}}{{\left(f x + e\right)}^{n}} + \frac{2 \, b c d f x^{2} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 1\right)}}{{\left(f x + e\right)}^{n}} - \frac{2 \, a c^{2} f^{2} x e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right)\right)}}{{\left(f x + e\right)}^{n}} - \frac{b c d n x e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 2\right)}}{{\left(f x + e\right)}^{n}} - \frac{a d^{2} n x e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 2\right)}}{{\left(f x + e\right)}^{n}} + \frac{2 \, b d^{2} x^{2} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 2\right)}}{{\left(f x + e\right)}^{n}} + \frac{a c^{2} f n e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 1\right)}}{{\left(f x + e\right)}^{n}} - \frac{2 \, a c d f x e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 1\right)}}{{\left(f x + e\right)}^{n}} - \frac{a c d n e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 2\right)}}{{\left(f x + e\right)}^{n}} + \frac{3 \, b c d x e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 2\right)}}{{\left(f x + e\right)}^{n}} + \frac{a d^{2} x e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 2\right)}}{{\left(f x + e\right)}^{n}} - \frac{2 \, a c^{2} f e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 1\right)}}{{\left(f x + e\right)}^{n}} + \frac{b c^{2} e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 2\right)}}{{\left(f x + e\right)}^{n}} + \frac{a c d e^{\left(n \log\left(d x + c\right) - 3 \, \log\left(d x + c\right) + 2\right)}}{{\left(f x + e\right)}^{n}}}{c^{2} f^{2} n^{2} - 2 \, c d f n^{2} e - 3 \, c^{2} f^{2} n + d^{2} n^{2} e^{2} + 6 \, c d f n e + 2 \, c^{2} f^{2} - 3 \, d^{2} n e^{2} - 4 \, c d f e + 2 \, d^{2} e^{2}}"," ",0,"-(b*c*d*f^2*n*x^3*e^(n*log(d*x + c) - 3*log(d*x + c))/(f*x + e)^n - b*d^2*f*n*x^3*e^(n*log(d*x + c) - 3*log(d*x + c) + 1)/(f*x + e)^n + b*c^2*f^2*n*x^2*e^(n*log(d*x + c) - 3*log(d*x + c))/(f*x + e)^n + a*c*d*f^2*n*x^2*e^(n*log(d*x + c) - 3*log(d*x + c))/(f*x + e)^n - b*c*d*f^2*x^3*e^(n*log(d*x + c) - 3*log(d*x + c))/(f*x + e)^n - a*d^2*f^2*x^3*e^(n*log(d*x + c) - 3*log(d*x + c))/(f*x + e)^n - a*d^2*f*n*x^2*e^(n*log(d*x + c) - 3*log(d*x + c) + 1)/(f*x + e)^n + 2*b*d^2*f*x^3*e^(n*log(d*x + c) - 3*log(d*x + c) + 1)/(f*x + e)^n + a*c^2*f^2*n*x*e^(n*log(d*x + c) - 3*log(d*x + c))/(f*x + e)^n - b*c^2*f^2*x^2*e^(n*log(d*x + c) - 3*log(d*x + c))/(f*x + e)^n - 3*a*c*d*f^2*x^2*e^(n*log(d*x + c) - 3*log(d*x + c))/(f*x + e)^n - b*d^2*n*x^2*e^(n*log(d*x + c) - 3*log(d*x + c) + 2)/(f*x + e)^n + b*c^2*f*n*x*e^(n*log(d*x + c) - 3*log(d*x + c) + 1)/(f*x + e)^n + 2*b*c*d*f*x^2*e^(n*log(d*x + c) - 3*log(d*x + c) + 1)/(f*x + e)^n - 2*a*c^2*f^2*x*e^(n*log(d*x + c) - 3*log(d*x + c))/(f*x + e)^n - b*c*d*n*x*e^(n*log(d*x + c) - 3*log(d*x + c) + 2)/(f*x + e)^n - a*d^2*n*x*e^(n*log(d*x + c) - 3*log(d*x + c) + 2)/(f*x + e)^n + 2*b*d^2*x^2*e^(n*log(d*x + c) - 3*log(d*x + c) + 2)/(f*x + e)^n + a*c^2*f*n*e^(n*log(d*x + c) - 3*log(d*x + c) + 1)/(f*x + e)^n - 2*a*c*d*f*x*e^(n*log(d*x + c) - 3*log(d*x + c) + 1)/(f*x + e)^n - a*c*d*n*e^(n*log(d*x + c) - 3*log(d*x + c) + 2)/(f*x + e)^n + 3*b*c*d*x*e^(n*log(d*x + c) - 3*log(d*x + c) + 2)/(f*x + e)^n + a*d^2*x*e^(n*log(d*x + c) - 3*log(d*x + c) + 2)/(f*x + e)^n - 2*a*c^2*f*e^(n*log(d*x + c) - 3*log(d*x + c) + 1)/(f*x + e)^n + b*c^2*e^(n*log(d*x + c) - 3*log(d*x + c) + 2)/(f*x + e)^n + a*c*d*e^(n*log(d*x + c) - 3*log(d*x + c) + 2)/(f*x + e)^n)/(c^2*f^2*n^2 - 2*c*d*f*n^2*e - 3*c^2*f^2*n + d^2*n^2*e^2 + 6*c*d*f*n*e + 2*c^2*f^2 - 3*d^2*n*e^2 - 4*c*d*f*e + 2*d^2*e^2)","B",0
3051,0,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)^(-4+n)/((f*x+e)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)} {\left(d x + c\right)}^{n - 4}}{{\left(f x + e\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)*(d*x + c)^(n - 4)/(f*x + e)^n, x)","F",0
3052,0,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)^(-5+n)/((f*x+e)^n),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)} {\left(d x + c\right)}^{n - 5}}{{\left(f x + e\right)}^{n}}\,{d x}"," ",0,"integrate((b*x + a)*(d*x + c)^(n - 5)/(f*x + e)^n, x)","F",0
3053,0,0,0,0.000000," ","integrate((d*x+c)*(f*x+e)^n/((b*x+a)^n),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)} {\left(f x + e\right)}^{n}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate((d*x + c)*(f*x + e)^n/(b*x + a)^n, x)","F",0
3054,0,0,0,0.000000," ","integrate((d*x+c)*(f*x+e)^(-1+n)/((b*x+a)^n),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)} {\left(f x + e\right)}^{n - 1}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate((d*x + c)*(f*x + e)^(n - 1)/(b*x + a)^n, x)","F",0
3055,0,0,0,0.000000," ","integrate((d*x+c)*(f*x+e)^(-2+n)/((b*x+a)^n),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)} {\left(f x + e\right)}^{n - 2}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate((d*x + c)*(f*x + e)^(n - 2)/(b*x + a)^n, x)","F",0
3056,1,1085,0,1.161323," ","integrate((d*x+c)*(f*x+e)^(-3+n)/((b*x+a)^n),x, algorithm=""giac"")","\frac{\frac{a b d f^{2} n x^{3} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right)\right)}}{{\left(b x + a\right)}^{n}} - \frac{b^{2} d f n x^{3} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 1\right)}}{{\left(b x + a\right)}^{n}} + \frac{a b c f^{2} n x^{2} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right)\right)}}{{\left(b x + a\right)}^{n}} + \frac{a^{2} d f^{2} n x^{2} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right)\right)}}{{\left(b x + a\right)}^{n}} + \frac{b^{2} c f^{2} x^{3} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right)\right)}}{{\left(b x + a\right)}^{n}} - \frac{2 \, a b d f^{2} x^{3} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right)\right)}}{{\left(b x + a\right)}^{n}} - \frac{b^{2} c f n x^{2} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 1\right)}}{{\left(b x + a\right)}^{n}} + \frac{b^{2} d f x^{3} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 1\right)}}{{\left(b x + a\right)}^{n}} + \frac{a^{2} c f^{2} n x e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right)\right)}}{{\left(b x + a\right)}^{n}} - \frac{2 \, a^{2} d f^{2} x^{2} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right)\right)}}{{\left(b x + a\right)}^{n}} - \frac{b^{2} d n x^{2} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 2\right)}}{{\left(b x + a\right)}^{n}} + \frac{a^{2} d f n x e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 1\right)}}{{\left(b x + a\right)}^{n}} + \frac{3 \, b^{2} c f x^{2} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 1\right)}}{{\left(b x + a\right)}^{n}} - \frac{2 \, a b d f x^{2} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 1\right)}}{{\left(b x + a\right)}^{n}} - \frac{a^{2} c f^{2} x e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right)\right)}}{{\left(b x + a\right)}^{n}} - \frac{b^{2} c n x e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 2\right)}}{{\left(b x + a\right)}^{n}} - \frac{a b d n x e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 2\right)}}{{\left(b x + a\right)}^{n}} + \frac{b^{2} d x^{2} e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 2\right)}}{{\left(b x + a\right)}^{n}} + \frac{a^{2} c f n e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 1\right)}}{{\left(b x + a\right)}^{n}} + \frac{2 \, a b c f x e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 1\right)}}{{\left(b x + a\right)}^{n}} - \frac{3 \, a^{2} d f x e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 1\right)}}{{\left(b x + a\right)}^{n}} - \frac{a b c n e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 2\right)}}{{\left(b x + a\right)}^{n}} + \frac{2 \, b^{2} c x e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 2\right)}}{{\left(b x + a\right)}^{n}} - \frac{a^{2} c f e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 1\right)}}{{\left(b x + a\right)}^{n}} + \frac{2 \, a b c e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 2\right)}}{{\left(b x + a\right)}^{n}} - \frac{a^{2} d e^{\left(n \log\left(f x + e\right) - 3 \, \log\left(f x + e\right) + 2\right)}}{{\left(b x + a\right)}^{n}}}{a^{2} f^{2} n^{2} - 2 \, a b f n^{2} e - 3 \, a^{2} f^{2} n + b^{2} n^{2} e^{2} + 6 \, a b f n e + 2 \, a^{2} f^{2} - 3 \, b^{2} n e^{2} - 4 \, a b f e + 2 \, b^{2} e^{2}}"," ",0,"(a*b*d*f^2*n*x^3*e^(n*log(f*x + e) - 3*log(f*x + e))/(b*x + a)^n - b^2*d*f*n*x^3*e^(n*log(f*x + e) - 3*log(f*x + e) + 1)/(b*x + a)^n + a*b*c*f^2*n*x^2*e^(n*log(f*x + e) - 3*log(f*x + e))/(b*x + a)^n + a^2*d*f^2*n*x^2*e^(n*log(f*x + e) - 3*log(f*x + e))/(b*x + a)^n + b^2*c*f^2*x^3*e^(n*log(f*x + e) - 3*log(f*x + e))/(b*x + a)^n - 2*a*b*d*f^2*x^3*e^(n*log(f*x + e) - 3*log(f*x + e))/(b*x + a)^n - b^2*c*f*n*x^2*e^(n*log(f*x + e) - 3*log(f*x + e) + 1)/(b*x + a)^n + b^2*d*f*x^3*e^(n*log(f*x + e) - 3*log(f*x + e) + 1)/(b*x + a)^n + a^2*c*f^2*n*x*e^(n*log(f*x + e) - 3*log(f*x + e))/(b*x + a)^n - 2*a^2*d*f^2*x^2*e^(n*log(f*x + e) - 3*log(f*x + e))/(b*x + a)^n - b^2*d*n*x^2*e^(n*log(f*x + e) - 3*log(f*x + e) + 2)/(b*x + a)^n + a^2*d*f*n*x*e^(n*log(f*x + e) - 3*log(f*x + e) + 1)/(b*x + a)^n + 3*b^2*c*f*x^2*e^(n*log(f*x + e) - 3*log(f*x + e) + 1)/(b*x + a)^n - 2*a*b*d*f*x^2*e^(n*log(f*x + e) - 3*log(f*x + e) + 1)/(b*x + a)^n - a^2*c*f^2*x*e^(n*log(f*x + e) - 3*log(f*x + e))/(b*x + a)^n - b^2*c*n*x*e^(n*log(f*x + e) - 3*log(f*x + e) + 2)/(b*x + a)^n - a*b*d*n*x*e^(n*log(f*x + e) - 3*log(f*x + e) + 2)/(b*x + a)^n + b^2*d*x^2*e^(n*log(f*x + e) - 3*log(f*x + e) + 2)/(b*x + a)^n + a^2*c*f*n*e^(n*log(f*x + e) - 3*log(f*x + e) + 1)/(b*x + a)^n + 2*a*b*c*f*x*e^(n*log(f*x + e) - 3*log(f*x + e) + 1)/(b*x + a)^n - 3*a^2*d*f*x*e^(n*log(f*x + e) - 3*log(f*x + e) + 1)/(b*x + a)^n - a*b*c*n*e^(n*log(f*x + e) - 3*log(f*x + e) + 2)/(b*x + a)^n + 2*b^2*c*x*e^(n*log(f*x + e) - 3*log(f*x + e) + 2)/(b*x + a)^n - a^2*c*f*e^(n*log(f*x + e) - 3*log(f*x + e) + 1)/(b*x + a)^n + 2*a*b*c*e^(n*log(f*x + e) - 3*log(f*x + e) + 2)/(b*x + a)^n - a^2*d*e^(n*log(f*x + e) - 3*log(f*x + e) + 2)/(b*x + a)^n)/(a^2*f^2*n^2 - 2*a*b*f*n^2*e - 3*a^2*f^2*n + b^2*n^2*e^2 + 6*a*b*f*n*e + 2*a^2*f^2 - 3*b^2*n*e^2 - 4*a*b*f*e + 2*b^2*e^2)","B",0
3057,0,0,0,0.000000," ","integrate((d*x+c)*(f*x+e)^(-4+n)/((b*x+a)^n),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)} {\left(f x + e\right)}^{n - 4}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate((d*x + c)*(f*x + e)^(n - 4)/(b*x + a)^n, x)","F",0
3058,0,0,0,0.000000," ","integrate((d*x+c)*(f*x+e)^(-5+n)/((b*x+a)^n),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)} {\left(f x + e\right)}^{n - 5}}{{\left(b x + a\right)}^{n}}\,{d x}"," ",0,"integrate((d*x + c)*(f*x + e)^(n - 5)/(b*x + a)^n, x)","F",0
3059,0,0,0,0.000000," ","integrate((b*x+a)^m*(f*x+e)^p/((d*x+c)^m),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(f x + e\right)}^{p}}{{\left(d x + c\right)}^{m}}\,{d x}"," ",0,"integrate((b*x + a)^m*(f*x + e)^p/(d*x + c)^m, x)","F",0
3060,0,0,0,0.000000," ","integrate((5-4*x)^4*(2+3*x)^m/((1+2*x)^m),x, algorithm=""giac"")","\int \frac{{\left(3 \, x + 2\right)}^{m} {\left(4 \, x - 5\right)}^{4}}{{\left(2 \, x + 1\right)}^{m}}\,{d x}"," ",0,"integrate((3*x + 2)^m*(4*x - 5)^4/(2*x + 1)^m, x)","F",0
3061,0,0,0,0.000000," ","integrate((b*x+a)^m*(f*x+e)^3/((d*x+c)^m),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} {\left(b x + a\right)}^{m}}{{\left(d x + c\right)}^{m}}\,{d x}"," ",0,"integrate((f*x + e)^3*(b*x + a)^m/(d*x + c)^m, x)","F",0
3062,0,0,0,0.000000," ","integrate((b*x+a)^m*(f*x+e)^2/((d*x+c)^m),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} {\left(b x + a\right)}^{m}}{{\left(d x + c\right)}^{m}}\,{d x}"," ",0,"integrate((f*x + e)^2*(b*x + a)^m/(d*x + c)^m, x)","F",0
3063,0,0,0,0.000000," ","integrate((b*x+a)^m*(f*x+e)/((d*x+c)^m),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} {\left(b x + a\right)}^{m}}{{\left(d x + c\right)}^{m}}\,{d x}"," ",0,"integrate((f*x + e)*(b*x + a)^m/(d*x + c)^m, x)","F",0
3064,0,0,0,0.000000," ","integrate((b*x+a)^m/((d*x+c)^m),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(d x + c\right)}^{m}}\,{d x}"," ",0,"integrate((b*x + a)^m/(d*x + c)^m, x)","F",0
3065,0,0,0,0.000000," ","integrate((b*x+a)^m/((d*x+c)^m)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(f x + e\right)} {\left(d x + c\right)}^{m}}\,{d x}"," ",0,"integrate((b*x + a)^m/((f*x + e)*(d*x + c)^m), x)","F",0
3066,0,0,0,0.000000," ","integrate((b*x+a)^m/((d*x+c)^m)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(f x + e\right)}^{2} {\left(d x + c\right)}^{m}}\,{d x}"," ",0,"integrate((b*x + a)^m/((f*x + e)^2*(d*x + c)^m), x)","F",0
3067,0,0,0,0.000000," ","integrate((b*x+a)^m/((d*x+c)^m)/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(f x + e\right)}^{3} {\left(d x + c\right)}^{m}}\,{d x}"," ",0,"integrate((b*x + a)^m/((f*x + e)^3*(d*x + c)^m), x)","F",0
3068,0,0,0,0.000000," ","integrate((b*x+a)^m/((d*x+c)^m)/(f*x+e)^4,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(f x + e\right)}^{4} {\left(d x + c\right)}^{m}}\,{d x}"," ",0,"integrate((b*x + a)^m/((f*x + e)^4*(d*x + c)^m), x)","F",0
3069,0,0,0,0.000000," ","integrate((2+3*x)^m/(5-4*x)^5/((1+2*x)^m),x, algorithm=""giac"")","\int -\frac{{\left(3 \, x + 2\right)}^{m}}{{\left(2 \, x + 1\right)}^{m} {\left(4 \, x - 5\right)}^{5}}\,{d x}"," ",0,"integrate(-(3*x + 2)^m/((2*x + 1)^m*(4*x - 5)^5), x)","F",0
3070,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-1-m)*(f*x+e)^p,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 1} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 1)*(f*x + e)^p, x)","F",0
3071,0,0,0,0.000000," ","integrate((5-4*x)^3*(1+2*x)^(-1-m)*(2+3*x)^m,x, algorithm=""giac"")","\int -{\left(3 \, x + 2\right)}^{m} {\left(2 \, x + 1\right)}^{-m - 1} {\left(4 \, x - 5\right)}^{3}\,{d x}"," ",0,"integrate(-(3*x + 2)^m*(2*x + 1)^(-m - 1)*(4*x - 5)^3, x)","F",0
3072,0,0,0,0.000000," ","integrate((5-4*x)^2*(1+2*x)^(-1-m)*(2+3*x)^m,x, algorithm=""giac"")","\int {\left(3 \, x + 2\right)}^{m} {\left(2 \, x + 1\right)}^{-m - 1} {\left(4 \, x - 5\right)}^{2}\,{d x}"," ",0,"integrate((3*x + 2)^m*(2*x + 1)^(-m - 1)*(4*x - 5)^2, x)","F",0
3073,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-1-m)*(f*x+e),x, algorithm=""giac"")","\int {\left(f x + e\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 1}\,{d x}"," ",0,"integrate((f*x + e)*(b*x + a)^m*(d*x + c)^(-m - 1), x)","F",0
3074,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-1-m),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 1}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 1), x)","F",0
3075,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-1-m)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 1}}{f x + e}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 1)/(f*x + e), x)","F",0
3076,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-1-m)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 1}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 1)/(f*x + e)^2, x)","F",0
3077,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-1-m)/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 1}}{{\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 1)/(f*x + e)^3, x)","F",0
3078,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-1-m)/(f*x+e)^4,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 1}}{{\left(f x + e\right)}^{4}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 1)/(f*x + e)^4, x)","F",0
3079,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-2-m)*(f*x+e)^p,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 2} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 2)*(f*x + e)^p, x)","F",0
3080,0,0,0,0.000000," ","integrate((5-4*x)^3*(1+2*x)^(-2-m)*(2+3*x)^m,x, algorithm=""giac"")","\int -{\left(3 \, x + 2\right)}^{m} {\left(2 \, x + 1\right)}^{-m - 2} {\left(4 \, x - 5\right)}^{3}\,{d x}"," ",0,"integrate(-(3*x + 2)^m*(2*x + 1)^(-m - 2)*(4*x - 5)^3, x)","F",0
3081,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-2-m)*(f*x+e)^2,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 2}\,{d x}"," ",0,"integrate((f*x + e)^2*(b*x + a)^m*(d*x + c)^(-m - 2), x)","F",0
3082,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-2-m)*(f*x+e),x, algorithm=""giac"")","\int {\left(f x + e\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 2}\,{d x}"," ",0,"integrate((f*x + e)*(b*x + a)^m*(d*x + c)^(-m - 2), x)","F",0
3083,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-2-m),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 2}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 2), x)","F",0
3084,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-2-m)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 2}}{f x + e}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 2)/(f*x + e), x)","F",0
3085,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-2-m)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 2}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 2)/(f*x + e)^2, x)","F",0
3086,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-2-m)/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 2}}{{\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 2)/(f*x + e)^3, x)","F",0
3087,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-3-m)*(f*x+e)^p,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 3} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 3)*(f*x + e)^p, x)","F",0
3088,0,0,0,0.000000," ","integrate((5-4*x)^4*(1+2*x)^(-3-m)*(2+3*x)^m,x, algorithm=""giac"")","\int {\left(3 \, x + 2\right)}^{m} {\left(2 \, x + 1\right)}^{-m - 3} {\left(4 \, x - 5\right)}^{4}\,{d x}"," ",0,"integrate((3*x + 2)^m*(2*x + 1)^(-m - 3)*(4*x - 5)^4, x)","F",0
3089,0,0,0,0.000000," ","integrate((5-4*x)^3*(1+2*x)^(-3-m)*(2+3*x)^m,x, algorithm=""giac"")","\int -{\left(3 \, x + 2\right)}^{m} {\left(2 \, x + 1\right)}^{-m - 3} {\left(4 \, x - 5\right)}^{3}\,{d x}"," ",0,"integrate(-(3*x + 2)^m*(2*x + 1)^(-m - 3)*(4*x - 5)^3, x)","F",0
3090,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-3-m)*(f*x+e)^2,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 3}\,{d x}"," ",0,"integrate((f*x + e)^2*(b*x + a)^m*(d*x + c)^(-m - 3), x)","F",0
3091,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-3-m)*(f*x+e),x, algorithm=""giac"")","\int {\left(f x + e\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 3}\,{d x}"," ",0,"integrate((f*x + e)*(b*x + a)^m*(d*x + c)^(-m - 3), x)","F",0
3092,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-3-m),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 3}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 3), x)","F",0
3093,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-3-m)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 3}}{f x + e}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 3)/(f*x + e), x)","F",0
3094,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-3-m)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 3}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 3)/(f*x + e)^2, x)","F",0
3095,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-4-m)*(f*x+e)^p,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 4} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 4)*(f*x + e)^p, x)","F",0
3096,0,0,0,0.000000," ","integrate((5-4*x)^4*(1+2*x)^(-4-m)*(2+3*x)^m,x, algorithm=""giac"")","\int {\left(3 \, x + 2\right)}^{m} {\left(2 \, x + 1\right)}^{-m - 4} {\left(4 \, x - 5\right)}^{4}\,{d x}"," ",0,"integrate((3*x + 2)^m*(2*x + 1)^(-m - 4)*(4*x - 5)^4, x)","F",0
3097,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-4-m)*(f*x+e)^3,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{3} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 4}\,{d x}"," ",0,"integrate((f*x + e)^3*(b*x + a)^m*(d*x + c)^(-m - 4), x)","F",0
3098,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-4-m)*(f*x+e)^2,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 4}\,{d x}"," ",0,"integrate((f*x + e)^2*(b*x + a)^m*(d*x + c)^(-m - 4), x)","F",0
3099,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-4-m)*(f*x+e),x, algorithm=""giac"")","\int {\left(f x + e\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 4}\,{d x}"," ",0,"integrate((f*x + e)*(b*x + a)^m*(d*x + c)^(-m - 4), x)","F",0
3100,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-4-m),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 4}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 4), x)","F",0
3101,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-4-m)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 4}}{f x + e}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 4)/(f*x + e), x)","F",0
3102,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-4-m)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 4}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 4)/(f*x + e)^2, x)","F",0
3103,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-5-m)*(f*x+e)^p,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 5} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 5)*(f*x + e)^p, x)","F",0
3104,0,0,0,0.000000," ","integrate((5-4*x)^5*(1+2*x)^(-5-m)*(2+3*x)^m,x, algorithm=""giac"")","\int -{\left(3 \, x + 2\right)}^{m} {\left(2 \, x + 1\right)}^{-m - 5} {\left(4 \, x - 5\right)}^{5}\,{d x}"," ",0,"integrate(-(3*x + 2)^m*(2*x + 1)^(-m - 5)*(4*x - 5)^5, x)","F",0
3105,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-5-m)*(f*x+e)^4,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{4} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 5}\,{d x}"," ",0,"integrate((f*x + e)^4*(b*x + a)^m*(d*x + c)^(-m - 5), x)","F",0
3106,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-5-m)*(f*x+e)^3,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{3} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 5}\,{d x}"," ",0,"integrate((f*x + e)^3*(b*x + a)^m*(d*x + c)^(-m - 5), x)","F",0
3107,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-5-m)*(f*x+e)^2,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 5}\,{d x}"," ",0,"integrate((f*x + e)^2*(b*x + a)^m*(d*x + c)^(-m - 5), x)","F",0
3108,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-5-m)*(f*x+e),x, algorithm=""giac"")","\int {\left(f x + e\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 5}\,{d x}"," ",0,"integrate((f*x + e)*(b*x + a)^m*(d*x + c)^(-m - 5), x)","F",0
3109,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-5-m),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 5}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 5), x)","F",0
3110,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-5-m)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 5}}{f x + e}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 5)/(f*x + e), x)","F",0
3111,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(1-m)*(f*x+e)^p,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 1} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 1)*(f*x + e)^p, x)","F",0
3112,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(1-m)*(f*x+e)^3,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{3} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 1}\,{d x}"," ",0,"integrate((f*x + e)^3*(b*x + a)^m*(d*x + c)^(-m + 1), x)","F",0
3113,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(1-m)*(f*x+e)^2,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 1}\,{d x}"," ",0,"integrate((f*x + e)^2*(b*x + a)^m*(d*x + c)^(-m + 1), x)","F",0
3114,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(1-m)*(f*x+e),x, algorithm=""giac"")","\int {\left(f x + e\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 1}\,{d x}"," ",0,"integrate((f*x + e)*(b*x + a)^m*(d*x + c)^(-m + 1), x)","F",0
3115,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(1-m),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 1}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 1), x)","F",0
3116,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(1-m)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 1}}{f x + e}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 1)/(f*x + e), x)","F",0
3117,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(1-m)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 1}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 1)/(f*x + e)^2, x)","F",0
3118,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(1-m)/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 1}}{{\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 1)/(f*x + e)^3, x)","F",0
3119,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(1-m)/(f*x+e)^4,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 1}}{{\left(f x + e\right)}^{4}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 1)/(f*x + e)^4, x)","F",0
3120,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(1-m)/(f*x+e)^5,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 1}}{{\left(f x + e\right)}^{5}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 1)/(f*x + e)^5, x)","F",0
3121,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(1-m)/(f*x+e)^6,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 1}}{{\left(f x + e\right)}^{6}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 1)/(f*x + e)^6, x)","F",0
3122,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)*(f*x+e)^p,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2)*(f*x + e)^p, x)","F",0
3123,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)*(f*x+e)^3,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{3} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}\,{d x}"," ",0,"integrate((f*x + e)^3*(b*x + a)^m*(d*x + c)^(-m + 2), x)","F",0
3124,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)*(f*x+e)^2,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}\,{d x}"," ",0,"integrate((f*x + e)^2*(b*x + a)^m*(d*x + c)^(-m + 2), x)","F",0
3125,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)*(f*x+e),x, algorithm=""giac"")","\int {\left(f x + e\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}\,{d x}"," ",0,"integrate((f*x + e)*(b*x + a)^m*(d*x + c)^(-m + 2), x)","F",0
3126,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2), x)","F",0
3127,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}}{f x + e}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2)/(f*x + e), x)","F",0
3128,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2)/(f*x + e)^2, x)","F",0
3129,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}}{{\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2)/(f*x + e)^3, x)","F",0
3130,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)/(f*x+e)^4,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}}{{\left(f x + e\right)}^{4}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2)/(f*x + e)^4, x)","F",0
3131,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)/(f*x+e)^5,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}}{{\left(f x + e\right)}^{5}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2)/(f*x + e)^5, x)","F",0
3132,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)/(f*x+e)^6,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}}{{\left(f x + e\right)}^{6}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2)/(f*x + e)^6, x)","F",0
3133,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)/(f*x+e)^7,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}}{{\left(f x + e\right)}^{7}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2)/(f*x + e)^7, x)","F",0
3134,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(3-m)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 3}}{f x + e}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 3)/(f*x + e), x)","F",0
3135,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(3-m)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 3}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 3)/(f*x + e)^2, x)","F",0
3136,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(3-m)/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 3}}{{\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 3)/(f*x + e)^3, x)","F",0
3137,0,0,0,0.000000," ","integrate((b*x+a)^(1-n)*(d*x+c)^(1+n)/(2*b*d*x+a*d+b*c),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{-n + 1} {\left(d x + c\right)}^{n + 1}}{2 \, b d x + b c + a d}\,{d x}"," ",0,"integrate((b*x + a)^(-n + 1)*(d*x + c)^(n + 1)/(2*b*d*x + b*c + a*d), x)","F",0
3138,0,0,0,0.000000," ","integrate((b*x+a)^(1-n)*(d*x+c)^(1+n)/(2*b*d*x+a*d+b*c)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{-n + 1} {\left(d x + c\right)}^{n + 1}}{{\left(2 \, b d x + b c + a d\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^(-n + 1)*(d*x + c)^(n + 1)/(2*b*d*x + b*c + a*d)^2, x)","F",0
3139,0,0,0,0.000000," ","integrate((b*x+a)^(1-n)*(d*x+c)^(1+n)/(2*b*d*x+a*d+b*c)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{-n + 1} {\left(d x + c\right)}^{n + 1}}{{\left(2 \, b d x + b c + a d\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^(-n + 1)*(d*x + c)^(n + 1)/(2*b*d*x + b*c + a*d)^3, x)","F",0
3140,0,0,0,0.000000," ","integrate((b*x+a)^(1-n)*(d*x+c)^(1+n)/(2*b*d*x+a*d+b*c)^4,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{-n + 1} {\left(d x + c\right)}^{n + 1}}{{\left(2 \, b d x + b c + a d\right)}^{4}}\,{d x}"," ",0,"integrate((b*x + a)^(-n + 1)*(d*x + c)^(n + 1)/(2*b*d*x + b*c + a*d)^4, x)","F",0
3141,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)/(2*b*d*x+a*d+b*c),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}}{2 \, b d x + b c + a d}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2)/(2*b*d*x + b*c + a*d), x)","F",0
3142,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)/(2*b*d*x+a*d+b*c)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}}{{\left(2 \, b d x + b c + a d\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2)/(2*b*d*x + b*c + a*d)^2, x)","F",0
3143,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)/(2*b*d*x+a*d+b*c)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}}{{\left(2 \, b d x + b c + a d\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2)/(2*b*d*x + b*c + a*d)^3, x)","F",0
3144,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(2-m)/(2*b*d*x+a*d+b*c)^4,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 2}}{{\left(2 \, b d x + b c + a d\right)}^{4}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m + 2)/(2*b*d*x + b*c + a*d)^4, x)","F",0
3145,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(n+p),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - n} {\left(f x + e\right)}^{n + p}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - n)*(f*x + e)^(n + p), x)","F",0
3146,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(1+n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - n} {\left(f x + e\right)}^{n + 1}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - n)*(f*x + e)^(n + 1), x)","F",0
3147,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^n,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - n} {\left(f x + e\right)}^{n}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - n)*(f*x + e)^n, x)","F",0
3148,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(-1+n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - n} {\left(f x + e\right)}^{n - 1}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - n)*(f*x + e)^(n - 1), x)","F",0
3149,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(-2+n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - n} {\left(f x + e\right)}^{n - 2}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - n)*(f*x + e)^(n - 2), x)","F",0
3150,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(-3+n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - n} {\left(f x + e\right)}^{n - 3}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - n)*(f*x + e)^(n - 3), x)","F",0
3151,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-m-n)*(f*x+e)^(-4+n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - n} {\left(f x + e\right)}^{n - 4}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - n)*(f*x + e)^(n - 4), x)","F",0
3152,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*((a*d*f*m+b*c*f*n+a*d*f+b*c*f)/b/d/(2+m+n)+f*x)^(-3-m-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + \frac{a d f m + b c f n + b c f + a d f}{b d {\left(m + n + 2\right)}}\right)}^{-m - n - 3}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n*(f*x + (a*d*f*m + b*c*f*n + b*c*f + a*d*f)/(b*d*(m + n + 2)))^(-m - n - 3), x)","F",0
3153,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-1-d*(-a*f+b*e)*(1+m)/b/(-c*f+d*e))*(f*x+e)^(-1+(-a*d+b*c)*f*(1+m)/b/(-c*f+d*e)),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-\frac{{\left(b e - a f\right)} d {\left(m + 1\right)}}{{\left(d e - c f\right)} b} - 1} {\left(f x + e\right)}^{\frac{{\left(b c - a d\right)} f {\left(m + 1\right)}}{{\left(d e - c f\right)} b} - 1}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-(b*e - a*f)*d*(m + 1)/((d*e - c*f)*b) - 1)*(f*x + e)^((b*c - a*d)*f*(m + 1)/((d*e - c*f)*b) - 1), x)","F",0
3154,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-m-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{-m - n}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n*(f*x + e)^(-m - n), x)","F",0
3155,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-1-m-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{-m - n - 1}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n*(f*x + e)^(-m - n - 1), x)","F",0
3156,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-2-m-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{-m - n - 2}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n*(f*x + e)^(-m - n - 2), x)","F",0
3157,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-3-m-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{-m - n - 3}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n*(f*x + e)^(-m - n - 3), x)","F",0
3158,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^(-4-m-n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{-m - n - 4}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n*(f*x + e)^(-m - n - 4), x)","F",0
3159,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^p,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n*(f*x + e)^p, x)","F",0
3160,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^2,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((f*x + e)^2*(b*x + a)^m*(d*x + c)^n, x)","F",0
3161,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e),x, algorithm=""giac"")","\int {\left(f x + e\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((f*x + e)*(b*x + a)^m*(d*x + c)^n, x)","F",0
3162,0,0,0,0.000000," ","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
3163,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n}}{f x + e}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n/(f*x + e), x)","F",0
3164,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n/(f*x + e)^2, x)","F",0
3165,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n}}{{\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n/(f*x + e)^3, x)","F",0
3166,0,0,0,0.000000," ","integrate((3+4*x)^n/(1-x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(4 \, x + 3\right)}^{n}}{\sqrt{x + 1} \sqrt{-x + 1}}\,{d x}"," ",0,"integrate((4*x + 3)^n/(sqrt(x + 1)*sqrt(-x + 1)), x)","F",0
3167,0,0,0,0.000000," ","integrate((3-4*x)^n/(1-x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-4 \, x + 3\right)}^{n}}{\sqrt{x + 1} \sqrt{-x + 1}}\,{d x}"," ",0,"integrate((-4*x + 3)^n/(sqrt(x + 1)*sqrt(-x + 1)), x)","F",0
3168,0,0,0,0.000000," ","integrate((-3+4*x)^n/(1-x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(4 \, x - 3\right)}^{n}}{\sqrt{x + 1} \sqrt{-x + 1}}\,{d x}"," ",0,"integrate((4*x - 3)^n/(sqrt(x + 1)*sqrt(-x + 1)), x)","F",0
3169,0,0,0,0.000000," ","integrate((-3-4*x)^n/(1-x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(-4 \, x - 3\right)}^{n}}{\sqrt{x + 1} \sqrt{-x + 1}}\,{d x}"," ",0,"integrate((-4*x - 3)^n/(sqrt(x + 1)*sqrt(-x + 1)), x)","F",0
3170,0,0,0,0.000000," ","integrate((b*x+a)^(4/3)/(f*x+e)/(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{4}{3}}}{\sqrt{d x + c} {\left(f x + e\right)}}\,{d x}"," ",0,"integrate((b*x + a)^(4/3)/(sqrt(d*x + c)*(f*x + e)), x)","F",0
3171,0,0,0,0.000000," ","integrate((d*x+c)^(2/5)*(f*x+e)^(3/5)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{\frac{2}{5}} {\left(f x + e\right)}^{\frac{3}{5}}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((d*x + c)^(2/5)*(f*x + e)^(3/5)/sqrt(b*x + a), x)","F",0
3172,0,0,0,0.000000," ","integrate((f*x+e)^n*(b*x+a)^(1/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a} {\left(f x + e\right)}^{n}}{\sqrt{d x + c}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(f*x + e)^n/sqrt(d*x + c), x)","F",0
3173,0,0,0,0.000000," ","integrate((f*x+e)^n*(d*x+c)^(1/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{d x + c} {\left(f x + e\right)}^{n}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate(sqrt(d*x + c)*(f*x + e)^n/sqrt(b*x + a), x)","F",0
3174,0,0,0,0.000000," ","integrate((f*x+e)^n/(d*x+c)^(3/2)/(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{n}}{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((f*x + e)^n/(sqrt(b*x + a)*(d*x + c)^(3/2)), x)","F",0
3175,0,0,0,0.000000," ","integrate((f*x+e)^n/(b*x+a)^(3/2)/(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{n}}{{\left(b x + a\right)}^{\frac{3}{2}} \sqrt{d x + c}}\,{d x}"," ",0,"integrate((f*x + e)^n/((b*x + a)^(3/2)*sqrt(d*x + c)), x)","F",0
3176,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/3)/(f*x+e),x, algorithm=""giac"")","\int \frac{\sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}}}{f x + e}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(1/3)/(f*x + e), x)","F",0
3177,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(d*x+c)^(1/2)/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{3}} \sqrt{d x + c}}{f x + e}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)*sqrt(d*x + c)/(f*x + e), x)","F",0
3178,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/3)*(f*x+e)^(1/4),x, algorithm=""giac"")","\int \sqrt{b x + a} {\left(d x + c\right)}^{\frac{1}{3}} {\left(f x + e\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*(d*x + c)^(1/3)*(f*x + e)^(1/4), x)","F",0
3179,0,0,0,0.000000," ","integrate((b*x+a)^(1/3)*(d*x+c)^(1/2)*(f*x+e)^(1/4),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{\frac{1}{3}} \sqrt{d x + c} {\left(f x + e\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((b*x + a)^(1/3)*sqrt(d*x + c)*(f*x + e)^(1/4), x)","F",0
3180,1,4381,0,1.152449," ","integrate((b*x+a)^4*(B*x+A)*(e*x+d)^m,x, algorithm=""giac"")","\frac{{\left(x e + d\right)}^{m} B b^{4} m^{5} x^{6} e^{6} + {\left(x e + d\right)}^{m} B b^{4} d m^{5} x^{5} e^{5} + 4 \, {\left(x e + d\right)}^{m} B a b^{3} m^{5} x^{5} e^{6} + {\left(x e + d\right)}^{m} A b^{4} m^{5} x^{5} e^{6} + 15 \, {\left(x e + d\right)}^{m} B b^{4} m^{4} x^{6} e^{6} + 4 \, {\left(x e + d\right)}^{m} B a b^{3} d m^{5} x^{4} e^{5} + {\left(x e + d\right)}^{m} A b^{4} d m^{5} x^{4} e^{5} + 10 \, {\left(x e + d\right)}^{m} B b^{4} d m^{4} x^{5} e^{5} - 5 \, {\left(x e + d\right)}^{m} B b^{4} d^{2} m^{4} x^{4} e^{4} + 6 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} m^{5} x^{4} e^{6} + 4 \, {\left(x e + d\right)}^{m} A a b^{3} m^{5} x^{4} e^{6} + 64 \, {\left(x e + d\right)}^{m} B a b^{3} m^{4} x^{5} e^{6} + 16 \, {\left(x e + d\right)}^{m} A b^{4} m^{4} x^{5} e^{6} + 85 \, {\left(x e + d\right)}^{m} B b^{4} m^{3} x^{6} e^{6} + 6 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d m^{5} x^{3} e^{5} + 4 \, {\left(x e + d\right)}^{m} A a b^{3} d m^{5} x^{3} e^{5} + 48 \, {\left(x e + d\right)}^{m} B a b^{3} d m^{4} x^{4} e^{5} + 12 \, {\left(x e + d\right)}^{m} A b^{4} d m^{4} x^{4} e^{5} + 35 \, {\left(x e + d\right)}^{m} B b^{4} d m^{3} x^{5} e^{5} - 16 \, {\left(x e + d\right)}^{m} B a b^{3} d^{2} m^{4} x^{3} e^{4} - 4 \, {\left(x e + d\right)}^{m} A b^{4} d^{2} m^{4} x^{3} e^{4} - 30 \, {\left(x e + d\right)}^{m} B b^{4} d^{2} m^{3} x^{4} e^{4} + 20 \, {\left(x e + d\right)}^{m} B b^{4} d^{3} m^{3} x^{3} e^{3} + 4 \, {\left(x e + d\right)}^{m} B a^{3} b m^{5} x^{3} e^{6} + 6 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} m^{5} x^{3} e^{6} + 102 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} m^{4} x^{4} e^{6} + 68 \, {\left(x e + d\right)}^{m} A a b^{3} m^{4} x^{4} e^{6} + 380 \, {\left(x e + d\right)}^{m} B a b^{3} m^{3} x^{5} e^{6} + 95 \, {\left(x e + d\right)}^{m} A b^{4} m^{3} x^{5} e^{6} + 225 \, {\left(x e + d\right)}^{m} B b^{4} m^{2} x^{6} e^{6} + 4 \, {\left(x e + d\right)}^{m} B a^{3} b d m^{5} x^{2} e^{5} + 6 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d m^{5} x^{2} e^{5} + 84 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d m^{4} x^{3} e^{5} + 56 \, {\left(x e + d\right)}^{m} A a b^{3} d m^{4} x^{3} e^{5} + 188 \, {\left(x e + d\right)}^{m} B a b^{3} d m^{3} x^{4} e^{5} + 47 \, {\left(x e + d\right)}^{m} A b^{4} d m^{3} x^{4} e^{5} + 50 \, {\left(x e + d\right)}^{m} B b^{4} d m^{2} x^{5} e^{5} - 18 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d^{2} m^{4} x^{2} e^{4} - 12 \, {\left(x e + d\right)}^{m} A a b^{3} d^{2} m^{4} x^{2} e^{4} - 144 \, {\left(x e + d\right)}^{m} B a b^{3} d^{2} m^{3} x^{3} e^{4} - 36 \, {\left(x e + d\right)}^{m} A b^{4} d^{2} m^{3} x^{3} e^{4} - 55 \, {\left(x e + d\right)}^{m} B b^{4} d^{2} m^{2} x^{4} e^{4} + 48 \, {\left(x e + d\right)}^{m} B a b^{3} d^{3} m^{3} x^{2} e^{3} + 12 \, {\left(x e + d\right)}^{m} A b^{4} d^{3} m^{3} x^{2} e^{3} + 60 \, {\left(x e + d\right)}^{m} B b^{4} d^{3} m^{2} x^{3} e^{3} - 60 \, {\left(x e + d\right)}^{m} B b^{4} d^{4} m^{2} x^{2} e^{2} + {\left(x e + d\right)}^{m} B a^{4} m^{5} x^{2} e^{6} + 4 \, {\left(x e + d\right)}^{m} A a^{3} b m^{5} x^{2} e^{6} + 72 \, {\left(x e + d\right)}^{m} B a^{3} b m^{4} x^{3} e^{6} + 108 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} m^{4} x^{3} e^{6} + 642 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} m^{3} x^{4} e^{6} + 428 \, {\left(x e + d\right)}^{m} A a b^{3} m^{3} x^{4} e^{6} + 1040 \, {\left(x e + d\right)}^{m} B a b^{3} m^{2} x^{5} e^{6} + 260 \, {\left(x e + d\right)}^{m} A b^{4} m^{2} x^{5} e^{6} + 274 \, {\left(x e + d\right)}^{m} B b^{4} m x^{6} e^{6} + {\left(x e + d\right)}^{m} B a^{4} d m^{5} x e^{5} + 4 \, {\left(x e + d\right)}^{m} A a^{3} b d m^{5} x e^{5} + 64 \, {\left(x e + d\right)}^{m} B a^{3} b d m^{4} x^{2} e^{5} + 96 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d m^{4} x^{2} e^{5} + 390 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d m^{3} x^{3} e^{5} + 260 \, {\left(x e + d\right)}^{m} A a b^{3} d m^{3} x^{3} e^{5} + 288 \, {\left(x e + d\right)}^{m} B a b^{3} d m^{2} x^{4} e^{5} + 72 \, {\left(x e + d\right)}^{m} A b^{4} d m^{2} x^{4} e^{5} + 24 \, {\left(x e + d\right)}^{m} B b^{4} d m x^{5} e^{5} - 8 \, {\left(x e + d\right)}^{m} B a^{3} b d^{2} m^{4} x e^{4} - 12 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d^{2} m^{4} x e^{4} - 216 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d^{2} m^{3} x^{2} e^{4} - 144 \, {\left(x e + d\right)}^{m} A a b^{3} d^{2} m^{3} x^{2} e^{4} - 320 \, {\left(x e + d\right)}^{m} B a b^{3} d^{2} m^{2} x^{3} e^{4} - 80 \, {\left(x e + d\right)}^{m} A b^{4} d^{2} m^{2} x^{3} e^{4} - 30 \, {\left(x e + d\right)}^{m} B b^{4} d^{2} m x^{4} e^{4} + 36 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d^{3} m^{3} x e^{3} + 24 \, {\left(x e + d\right)}^{m} A a b^{3} d^{3} m^{3} x e^{3} + 336 \, {\left(x e + d\right)}^{m} B a b^{3} d^{3} m^{2} x^{2} e^{3} + 84 \, {\left(x e + d\right)}^{m} A b^{4} d^{3} m^{2} x^{2} e^{3} + 40 \, {\left(x e + d\right)}^{m} B b^{4} d^{3} m x^{3} e^{3} - 96 \, {\left(x e + d\right)}^{m} B a b^{3} d^{4} m^{2} x e^{2} - 24 \, {\left(x e + d\right)}^{m} A b^{4} d^{4} m^{2} x e^{2} - 60 \, {\left(x e + d\right)}^{m} B b^{4} d^{4} m x^{2} e^{2} + 120 \, {\left(x e + d\right)}^{m} B b^{4} d^{5} m x e + {\left(x e + d\right)}^{m} A a^{4} m^{5} x e^{6} + 19 \, {\left(x e + d\right)}^{m} B a^{4} m^{4} x^{2} e^{6} + 76 \, {\left(x e + d\right)}^{m} A a^{3} b m^{4} x^{2} e^{6} + 484 \, {\left(x e + d\right)}^{m} B a^{3} b m^{3} x^{3} e^{6} + 726 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} m^{3} x^{3} e^{6} + 1842 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} m^{2} x^{4} e^{6} + 1228 \, {\left(x e + d\right)}^{m} A a b^{3} m^{2} x^{4} e^{6} + 1296 \, {\left(x e + d\right)}^{m} B a b^{3} m x^{5} e^{6} + 324 \, {\left(x e + d\right)}^{m} A b^{4} m x^{5} e^{6} + 120 \, {\left(x e + d\right)}^{m} B b^{4} x^{6} e^{6} + {\left(x e + d\right)}^{m} A a^{4} d m^{5} e^{5} + 18 \, {\left(x e + d\right)}^{m} B a^{4} d m^{4} x e^{5} + 72 \, {\left(x e + d\right)}^{m} A a^{3} b d m^{4} x e^{5} + 356 \, {\left(x e + d\right)}^{m} B a^{3} b d m^{3} x^{2} e^{5} + 534 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d m^{3} x^{2} e^{5} + 672 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d m^{2} x^{3} e^{5} + 448 \, {\left(x e + d\right)}^{m} A a b^{3} d m^{2} x^{3} e^{5} + 144 \, {\left(x e + d\right)}^{m} B a b^{3} d m x^{4} e^{5} + 36 \, {\left(x e + d\right)}^{m} A b^{4} d m x^{4} e^{5} - {\left(x e + d\right)}^{m} B a^{4} d^{2} m^{4} e^{4} - 4 \, {\left(x e + d\right)}^{m} A a^{3} b d^{2} m^{4} e^{4} - 120 \, {\left(x e + d\right)}^{m} B a^{3} b d^{2} m^{3} x e^{4} - 180 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d^{2} m^{3} x e^{4} - 738 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d^{2} m^{2} x^{2} e^{4} - 492 \, {\left(x e + d\right)}^{m} A a b^{3} d^{2} m^{2} x^{2} e^{4} - 192 \, {\left(x e + d\right)}^{m} B a b^{3} d^{2} m x^{3} e^{4} - 48 \, {\left(x e + d\right)}^{m} A b^{4} d^{2} m x^{3} e^{4} + 8 \, {\left(x e + d\right)}^{m} B a^{3} b d^{3} m^{3} e^{3} + 12 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d^{3} m^{3} e^{3} + 396 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d^{3} m^{2} x e^{3} + 264 \, {\left(x e + d\right)}^{m} A a b^{3} d^{3} m^{2} x e^{3} + 288 \, {\left(x e + d\right)}^{m} B a b^{3} d^{3} m x^{2} e^{3} + 72 \, {\left(x e + d\right)}^{m} A b^{4} d^{3} m x^{2} e^{3} - 36 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d^{4} m^{2} e^{2} - 24 \, {\left(x e + d\right)}^{m} A a b^{3} d^{4} m^{2} e^{2} - 576 \, {\left(x e + d\right)}^{m} B a b^{3} d^{4} m x e^{2} - 144 \, {\left(x e + d\right)}^{m} A b^{4} d^{4} m x e^{2} + 96 \, {\left(x e + d\right)}^{m} B a b^{3} d^{5} m e + 24 \, {\left(x e + d\right)}^{m} A b^{4} d^{5} m e - 120 \, {\left(x e + d\right)}^{m} B b^{4} d^{6} + 20 \, {\left(x e + d\right)}^{m} A a^{4} m^{4} x e^{6} + 137 \, {\left(x e + d\right)}^{m} B a^{4} m^{3} x^{2} e^{6} + 548 \, {\left(x e + d\right)}^{m} A a^{3} b m^{3} x^{2} e^{6} + 1488 \, {\left(x e + d\right)}^{m} B a^{3} b m^{2} x^{3} e^{6} + 2232 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} m^{2} x^{3} e^{6} + 2376 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} m x^{4} e^{6} + 1584 \, {\left(x e + d\right)}^{m} A a b^{3} m x^{4} e^{6} + 576 \, {\left(x e + d\right)}^{m} B a b^{3} x^{5} e^{6} + 144 \, {\left(x e + d\right)}^{m} A b^{4} x^{5} e^{6} + 20 \, {\left(x e + d\right)}^{m} A a^{4} d m^{4} e^{5} + 119 \, {\left(x e + d\right)}^{m} B a^{4} d m^{3} x e^{5} + 476 \, {\left(x e + d\right)}^{m} A a^{3} b d m^{3} x e^{5} + 776 \, {\left(x e + d\right)}^{m} B a^{3} b d m^{2} x^{2} e^{5} + 1164 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d m^{2} x^{2} e^{5} + 360 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d m x^{3} e^{5} + 240 \, {\left(x e + d\right)}^{m} A a b^{3} d m x^{3} e^{5} - 18 \, {\left(x e + d\right)}^{m} B a^{4} d^{2} m^{3} e^{4} - 72 \, {\left(x e + d\right)}^{m} A a^{3} b d^{2} m^{3} e^{4} - 592 \, {\left(x e + d\right)}^{m} B a^{3} b d^{2} m^{2} x e^{4} - 888 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d^{2} m^{2} x e^{4} - 540 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d^{2} m x^{2} e^{4} - 360 \, {\left(x e + d\right)}^{m} A a b^{3} d^{2} m x^{2} e^{4} + 120 \, {\left(x e + d\right)}^{m} B a^{3} b d^{3} m^{2} e^{3} + 180 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d^{3} m^{2} e^{3} + 1080 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d^{3} m x e^{3} + 720 \, {\left(x e + d\right)}^{m} A a b^{3} d^{3} m x e^{3} - 396 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d^{4} m e^{2} - 264 \, {\left(x e + d\right)}^{m} A a b^{3} d^{4} m e^{2} + 576 \, {\left(x e + d\right)}^{m} B a b^{3} d^{5} e + 144 \, {\left(x e + d\right)}^{m} A b^{4} d^{5} e + 155 \, {\left(x e + d\right)}^{m} A a^{4} m^{3} x e^{6} + 461 \, {\left(x e + d\right)}^{m} B a^{4} m^{2} x^{2} e^{6} + 1844 \, {\left(x e + d\right)}^{m} A a^{3} b m^{2} x^{2} e^{6} + 2032 \, {\left(x e + d\right)}^{m} B a^{3} b m x^{3} e^{6} + 3048 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} m x^{3} e^{6} + 1080 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} x^{4} e^{6} + 720 \, {\left(x e + d\right)}^{m} A a b^{3} x^{4} e^{6} + 155 \, {\left(x e + d\right)}^{m} A a^{4} d m^{3} e^{5} + 342 \, {\left(x e + d\right)}^{m} B a^{4} d m^{2} x e^{5} + 1368 \, {\left(x e + d\right)}^{m} A a^{3} b d m^{2} x e^{5} + 480 \, {\left(x e + d\right)}^{m} B a^{3} b d m x^{2} e^{5} + 720 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d m x^{2} e^{5} - 119 \, {\left(x e + d\right)}^{m} B a^{4} d^{2} m^{2} e^{4} - 476 \, {\left(x e + d\right)}^{m} A a^{3} b d^{2} m^{2} e^{4} - 960 \, {\left(x e + d\right)}^{m} B a^{3} b d^{2} m x e^{4} - 1440 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d^{2} m x e^{4} + 592 \, {\left(x e + d\right)}^{m} B a^{3} b d^{3} m e^{3} + 888 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d^{3} m e^{3} - 1080 \, {\left(x e + d\right)}^{m} B a^{2} b^{2} d^{4} e^{2} - 720 \, {\left(x e + d\right)}^{m} A a b^{3} d^{4} e^{2} + 580 \, {\left(x e + d\right)}^{m} A a^{4} m^{2} x e^{6} + 702 \, {\left(x e + d\right)}^{m} B a^{4} m x^{2} e^{6} + 2808 \, {\left(x e + d\right)}^{m} A a^{3} b m x^{2} e^{6} + 960 \, {\left(x e + d\right)}^{m} B a^{3} b x^{3} e^{6} + 1440 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} x^{3} e^{6} + 580 \, {\left(x e + d\right)}^{m} A a^{4} d m^{2} e^{5} + 360 \, {\left(x e + d\right)}^{m} B a^{4} d m x e^{5} + 1440 \, {\left(x e + d\right)}^{m} A a^{3} b d m x e^{5} - 342 \, {\left(x e + d\right)}^{m} B a^{4} d^{2} m e^{4} - 1368 \, {\left(x e + d\right)}^{m} A a^{3} b d^{2} m e^{4} + 960 \, {\left(x e + d\right)}^{m} B a^{3} b d^{3} e^{3} + 1440 \, {\left(x e + d\right)}^{m} A a^{2} b^{2} d^{3} e^{3} + 1044 \, {\left(x e + d\right)}^{m} A a^{4} m x e^{6} + 360 \, {\left(x e + d\right)}^{m} B a^{4} x^{2} e^{6} + 1440 \, {\left(x e + d\right)}^{m} A a^{3} b x^{2} e^{6} + 1044 \, {\left(x e + d\right)}^{m} A a^{4} d m e^{5} - 360 \, {\left(x e + d\right)}^{m} B a^{4} d^{2} e^{4} - 1440 \, {\left(x e + d\right)}^{m} A a^{3} b d^{2} e^{4} + 720 \, {\left(x e + d\right)}^{m} A a^{4} x e^{6} + 720 \, {\left(x e + d\right)}^{m} A a^{4} d e^{5}}{m^{6} e^{6} + 21 \, m^{5} e^{6} + 175 \, m^{4} e^{6} + 735 \, m^{3} e^{6} + 1624 \, m^{2} e^{6} + 1764 \, m e^{6} + 720 \, e^{6}}"," ",0,"((x*e + d)^m*B*b^4*m^5*x^6*e^6 + (x*e + d)^m*B*b^4*d*m^5*x^5*e^5 + 4*(x*e + d)^m*B*a*b^3*m^5*x^5*e^6 + (x*e + d)^m*A*b^4*m^5*x^5*e^6 + 15*(x*e + d)^m*B*b^4*m^4*x^6*e^6 + 4*(x*e + d)^m*B*a*b^3*d*m^5*x^4*e^5 + (x*e + d)^m*A*b^4*d*m^5*x^4*e^5 + 10*(x*e + d)^m*B*b^4*d*m^4*x^5*e^5 - 5*(x*e + d)^m*B*b^4*d^2*m^4*x^4*e^4 + 6*(x*e + d)^m*B*a^2*b^2*m^5*x^4*e^6 + 4*(x*e + d)^m*A*a*b^3*m^5*x^4*e^6 + 64*(x*e + d)^m*B*a*b^3*m^4*x^5*e^6 + 16*(x*e + d)^m*A*b^4*m^4*x^5*e^6 + 85*(x*e + d)^m*B*b^4*m^3*x^6*e^6 + 6*(x*e + d)^m*B*a^2*b^2*d*m^5*x^3*e^5 + 4*(x*e + d)^m*A*a*b^3*d*m^5*x^3*e^5 + 48*(x*e + d)^m*B*a*b^3*d*m^4*x^4*e^5 + 12*(x*e + d)^m*A*b^4*d*m^4*x^4*e^5 + 35*(x*e + d)^m*B*b^4*d*m^3*x^5*e^5 - 16*(x*e + d)^m*B*a*b^3*d^2*m^4*x^3*e^4 - 4*(x*e + d)^m*A*b^4*d^2*m^4*x^3*e^4 - 30*(x*e + d)^m*B*b^4*d^2*m^3*x^4*e^4 + 20*(x*e + d)^m*B*b^4*d^3*m^3*x^3*e^3 + 4*(x*e + d)^m*B*a^3*b*m^5*x^3*e^6 + 6*(x*e + d)^m*A*a^2*b^2*m^5*x^3*e^6 + 102*(x*e + d)^m*B*a^2*b^2*m^4*x^4*e^6 + 68*(x*e + d)^m*A*a*b^3*m^4*x^4*e^6 + 380*(x*e + d)^m*B*a*b^3*m^3*x^5*e^6 + 95*(x*e + d)^m*A*b^4*m^3*x^5*e^6 + 225*(x*e + d)^m*B*b^4*m^2*x^6*e^6 + 4*(x*e + d)^m*B*a^3*b*d*m^5*x^2*e^5 + 6*(x*e + d)^m*A*a^2*b^2*d*m^5*x^2*e^5 + 84*(x*e + d)^m*B*a^2*b^2*d*m^4*x^3*e^5 + 56*(x*e + d)^m*A*a*b^3*d*m^4*x^3*e^5 + 188*(x*e + d)^m*B*a*b^3*d*m^3*x^4*e^5 + 47*(x*e + d)^m*A*b^4*d*m^3*x^4*e^5 + 50*(x*e + d)^m*B*b^4*d*m^2*x^5*e^5 - 18*(x*e + d)^m*B*a^2*b^2*d^2*m^4*x^2*e^4 - 12*(x*e + d)^m*A*a*b^3*d^2*m^4*x^2*e^4 - 144*(x*e + d)^m*B*a*b^3*d^2*m^3*x^3*e^4 - 36*(x*e + d)^m*A*b^4*d^2*m^3*x^3*e^4 - 55*(x*e + d)^m*B*b^4*d^2*m^2*x^4*e^4 + 48*(x*e + d)^m*B*a*b^3*d^3*m^3*x^2*e^3 + 12*(x*e + d)^m*A*b^4*d^3*m^3*x^2*e^3 + 60*(x*e + d)^m*B*b^4*d^3*m^2*x^3*e^3 - 60*(x*e + d)^m*B*b^4*d^4*m^2*x^2*e^2 + (x*e + d)^m*B*a^4*m^5*x^2*e^6 + 4*(x*e + d)^m*A*a^3*b*m^5*x^2*e^6 + 72*(x*e + d)^m*B*a^3*b*m^4*x^3*e^6 + 108*(x*e + d)^m*A*a^2*b^2*m^4*x^3*e^6 + 642*(x*e + d)^m*B*a^2*b^2*m^3*x^4*e^6 + 428*(x*e + d)^m*A*a*b^3*m^3*x^4*e^6 + 1040*(x*e + d)^m*B*a*b^3*m^2*x^5*e^6 + 260*(x*e + d)^m*A*b^4*m^2*x^5*e^6 + 274*(x*e + d)^m*B*b^4*m*x^6*e^6 + (x*e + d)^m*B*a^4*d*m^5*x*e^5 + 4*(x*e + d)^m*A*a^3*b*d*m^5*x*e^5 + 64*(x*e + d)^m*B*a^3*b*d*m^4*x^2*e^5 + 96*(x*e + d)^m*A*a^2*b^2*d*m^4*x^2*e^5 + 390*(x*e + d)^m*B*a^2*b^2*d*m^3*x^3*e^5 + 260*(x*e + d)^m*A*a*b^3*d*m^3*x^3*e^5 + 288*(x*e + d)^m*B*a*b^3*d*m^2*x^4*e^5 + 72*(x*e + d)^m*A*b^4*d*m^2*x^4*e^5 + 24*(x*e + d)^m*B*b^4*d*m*x^5*e^5 - 8*(x*e + d)^m*B*a^3*b*d^2*m^4*x*e^4 - 12*(x*e + d)^m*A*a^2*b^2*d^2*m^4*x*e^4 - 216*(x*e + d)^m*B*a^2*b^2*d^2*m^3*x^2*e^4 - 144*(x*e + d)^m*A*a*b^3*d^2*m^3*x^2*e^4 - 320*(x*e + d)^m*B*a*b^3*d^2*m^2*x^3*e^4 - 80*(x*e + d)^m*A*b^4*d^2*m^2*x^3*e^4 - 30*(x*e + d)^m*B*b^4*d^2*m*x^4*e^4 + 36*(x*e + d)^m*B*a^2*b^2*d^3*m^3*x*e^3 + 24*(x*e + d)^m*A*a*b^3*d^3*m^3*x*e^3 + 336*(x*e + d)^m*B*a*b^3*d^3*m^2*x^2*e^3 + 84*(x*e + d)^m*A*b^4*d^3*m^2*x^2*e^3 + 40*(x*e + d)^m*B*b^4*d^3*m*x^3*e^3 - 96*(x*e + d)^m*B*a*b^3*d^4*m^2*x*e^2 - 24*(x*e + d)^m*A*b^4*d^4*m^2*x*e^2 - 60*(x*e + d)^m*B*b^4*d^4*m*x^2*e^2 + 120*(x*e + d)^m*B*b^4*d^5*m*x*e + (x*e + d)^m*A*a^4*m^5*x*e^6 + 19*(x*e + d)^m*B*a^4*m^4*x^2*e^6 + 76*(x*e + d)^m*A*a^3*b*m^4*x^2*e^6 + 484*(x*e + d)^m*B*a^3*b*m^3*x^3*e^6 + 726*(x*e + d)^m*A*a^2*b^2*m^3*x^3*e^6 + 1842*(x*e + d)^m*B*a^2*b^2*m^2*x^4*e^6 + 1228*(x*e + d)^m*A*a*b^3*m^2*x^4*e^6 + 1296*(x*e + d)^m*B*a*b^3*m*x^5*e^6 + 324*(x*e + d)^m*A*b^4*m*x^5*e^6 + 120*(x*e + d)^m*B*b^4*x^6*e^6 + (x*e + d)^m*A*a^4*d*m^5*e^5 + 18*(x*e + d)^m*B*a^4*d*m^4*x*e^5 + 72*(x*e + d)^m*A*a^3*b*d*m^4*x*e^5 + 356*(x*e + d)^m*B*a^3*b*d*m^3*x^2*e^5 + 534*(x*e + d)^m*A*a^2*b^2*d*m^3*x^2*e^5 + 672*(x*e + d)^m*B*a^2*b^2*d*m^2*x^3*e^5 + 448*(x*e + d)^m*A*a*b^3*d*m^2*x^3*e^5 + 144*(x*e + d)^m*B*a*b^3*d*m*x^4*e^5 + 36*(x*e + d)^m*A*b^4*d*m*x^4*e^5 - (x*e + d)^m*B*a^4*d^2*m^4*e^4 - 4*(x*e + d)^m*A*a^3*b*d^2*m^4*e^4 - 120*(x*e + d)^m*B*a^3*b*d^2*m^3*x*e^4 - 180*(x*e + d)^m*A*a^2*b^2*d^2*m^3*x*e^4 - 738*(x*e + d)^m*B*a^2*b^2*d^2*m^2*x^2*e^4 - 492*(x*e + d)^m*A*a*b^3*d^2*m^2*x^2*e^4 - 192*(x*e + d)^m*B*a*b^3*d^2*m*x^3*e^4 - 48*(x*e + d)^m*A*b^4*d^2*m*x^3*e^4 + 8*(x*e + d)^m*B*a^3*b*d^3*m^3*e^3 + 12*(x*e + d)^m*A*a^2*b^2*d^3*m^3*e^3 + 396*(x*e + d)^m*B*a^2*b^2*d^3*m^2*x*e^3 + 264*(x*e + d)^m*A*a*b^3*d^3*m^2*x*e^3 + 288*(x*e + d)^m*B*a*b^3*d^3*m*x^2*e^3 + 72*(x*e + d)^m*A*b^4*d^3*m*x^2*e^3 - 36*(x*e + d)^m*B*a^2*b^2*d^4*m^2*e^2 - 24*(x*e + d)^m*A*a*b^3*d^4*m^2*e^2 - 576*(x*e + d)^m*B*a*b^3*d^4*m*x*e^2 - 144*(x*e + d)^m*A*b^4*d^4*m*x*e^2 + 96*(x*e + d)^m*B*a*b^3*d^5*m*e + 24*(x*e + d)^m*A*b^4*d^5*m*e - 120*(x*e + d)^m*B*b^4*d^6 + 20*(x*e + d)^m*A*a^4*m^4*x*e^6 + 137*(x*e + d)^m*B*a^4*m^3*x^2*e^6 + 548*(x*e + d)^m*A*a^3*b*m^3*x^2*e^6 + 1488*(x*e + d)^m*B*a^3*b*m^2*x^3*e^6 + 2232*(x*e + d)^m*A*a^2*b^2*m^2*x^3*e^6 + 2376*(x*e + d)^m*B*a^2*b^2*m*x^4*e^6 + 1584*(x*e + d)^m*A*a*b^3*m*x^4*e^6 + 576*(x*e + d)^m*B*a*b^3*x^5*e^6 + 144*(x*e + d)^m*A*b^4*x^5*e^6 + 20*(x*e + d)^m*A*a^4*d*m^4*e^5 + 119*(x*e + d)^m*B*a^4*d*m^3*x*e^5 + 476*(x*e + d)^m*A*a^3*b*d*m^3*x*e^5 + 776*(x*e + d)^m*B*a^3*b*d*m^2*x^2*e^5 + 1164*(x*e + d)^m*A*a^2*b^2*d*m^2*x^2*e^5 + 360*(x*e + d)^m*B*a^2*b^2*d*m*x^3*e^5 + 240*(x*e + d)^m*A*a*b^3*d*m*x^3*e^5 - 18*(x*e + d)^m*B*a^4*d^2*m^3*e^4 - 72*(x*e + d)^m*A*a^3*b*d^2*m^3*e^4 - 592*(x*e + d)^m*B*a^3*b*d^2*m^2*x*e^4 - 888*(x*e + d)^m*A*a^2*b^2*d^2*m^2*x*e^4 - 540*(x*e + d)^m*B*a^2*b^2*d^2*m*x^2*e^4 - 360*(x*e + d)^m*A*a*b^3*d^2*m*x^2*e^4 + 120*(x*e + d)^m*B*a^3*b*d^3*m^2*e^3 + 180*(x*e + d)^m*A*a^2*b^2*d^3*m^2*e^3 + 1080*(x*e + d)^m*B*a^2*b^2*d^3*m*x*e^3 + 720*(x*e + d)^m*A*a*b^3*d^3*m*x*e^3 - 396*(x*e + d)^m*B*a^2*b^2*d^4*m*e^2 - 264*(x*e + d)^m*A*a*b^3*d^4*m*e^2 + 576*(x*e + d)^m*B*a*b^3*d^5*e + 144*(x*e + d)^m*A*b^4*d^5*e + 155*(x*e + d)^m*A*a^4*m^3*x*e^6 + 461*(x*e + d)^m*B*a^4*m^2*x^2*e^6 + 1844*(x*e + d)^m*A*a^3*b*m^2*x^2*e^6 + 2032*(x*e + d)^m*B*a^3*b*m*x^3*e^6 + 3048*(x*e + d)^m*A*a^2*b^2*m*x^3*e^6 + 1080*(x*e + d)^m*B*a^2*b^2*x^4*e^6 + 720*(x*e + d)^m*A*a*b^3*x^4*e^6 + 155*(x*e + d)^m*A*a^4*d*m^3*e^5 + 342*(x*e + d)^m*B*a^4*d*m^2*x*e^5 + 1368*(x*e + d)^m*A*a^3*b*d*m^2*x*e^5 + 480*(x*e + d)^m*B*a^3*b*d*m*x^2*e^5 + 720*(x*e + d)^m*A*a^2*b^2*d*m*x^2*e^5 - 119*(x*e + d)^m*B*a^4*d^2*m^2*e^4 - 476*(x*e + d)^m*A*a^3*b*d^2*m^2*e^4 - 960*(x*e + d)^m*B*a^3*b*d^2*m*x*e^4 - 1440*(x*e + d)^m*A*a^2*b^2*d^2*m*x*e^4 + 592*(x*e + d)^m*B*a^3*b*d^3*m*e^3 + 888*(x*e + d)^m*A*a^2*b^2*d^3*m*e^3 - 1080*(x*e + d)^m*B*a^2*b^2*d^4*e^2 - 720*(x*e + d)^m*A*a*b^3*d^4*e^2 + 580*(x*e + d)^m*A*a^4*m^2*x*e^6 + 702*(x*e + d)^m*B*a^4*m*x^2*e^6 + 2808*(x*e + d)^m*A*a^3*b*m*x^2*e^6 + 960*(x*e + d)^m*B*a^3*b*x^3*e^6 + 1440*(x*e + d)^m*A*a^2*b^2*x^3*e^6 + 580*(x*e + d)^m*A*a^4*d*m^2*e^5 + 360*(x*e + d)^m*B*a^4*d*m*x*e^5 + 1440*(x*e + d)^m*A*a^3*b*d*m*x*e^5 - 342*(x*e + d)^m*B*a^4*d^2*m*e^4 - 1368*(x*e + d)^m*A*a^3*b*d^2*m*e^4 + 960*(x*e + d)^m*B*a^3*b*d^3*e^3 + 1440*(x*e + d)^m*A*a^2*b^2*d^3*e^3 + 1044*(x*e + d)^m*A*a^4*m*x*e^6 + 360*(x*e + d)^m*B*a^4*x^2*e^6 + 1440*(x*e + d)^m*A*a^3*b*x^2*e^6 + 1044*(x*e + d)^m*A*a^4*d*m*e^5 - 360*(x*e + d)^m*B*a^4*d^2*e^4 - 1440*(x*e + d)^m*A*a^3*b*d^2*e^4 + 720*(x*e + d)^m*A*a^4*x*e^6 + 720*(x*e + d)^m*A*a^4*d*e^5)/(m^6*e^6 + 21*m^5*e^6 + 175*m^4*e^6 + 735*m^3*e^6 + 1624*m^2*e^6 + 1764*m*e^6 + 720*e^6)","B",0
3181,1,2524,0,1.258522," ","integrate((b*x+a)^3*(B*x+A)*(e*x+d)^m,x, algorithm=""giac"")","\frac{{\left(x e + d\right)}^{m} B b^{3} m^{4} x^{5} e^{5} + {\left(x e + d\right)}^{m} B b^{3} d m^{4} x^{4} e^{4} + 3 \, {\left(x e + d\right)}^{m} B a b^{2} m^{4} x^{4} e^{5} + {\left(x e + d\right)}^{m} A b^{3} m^{4} x^{4} e^{5} + 10 \, {\left(x e + d\right)}^{m} B b^{3} m^{3} x^{5} e^{5} + 3 \, {\left(x e + d\right)}^{m} B a b^{2} d m^{4} x^{3} e^{4} + {\left(x e + d\right)}^{m} A b^{3} d m^{4} x^{3} e^{4} + 6 \, {\left(x e + d\right)}^{m} B b^{3} d m^{3} x^{4} e^{4} - 4 \, {\left(x e + d\right)}^{m} B b^{3} d^{2} m^{3} x^{3} e^{3} + 3 \, {\left(x e + d\right)}^{m} B a^{2} b m^{4} x^{3} e^{5} + 3 \, {\left(x e + d\right)}^{m} A a b^{2} m^{4} x^{3} e^{5} + 33 \, {\left(x e + d\right)}^{m} B a b^{2} m^{3} x^{4} e^{5} + 11 \, {\left(x e + d\right)}^{m} A b^{3} m^{3} x^{4} e^{5} + 35 \, {\left(x e + d\right)}^{m} B b^{3} m^{2} x^{5} e^{5} + 3 \, {\left(x e + d\right)}^{m} B a^{2} b d m^{4} x^{2} e^{4} + 3 \, {\left(x e + d\right)}^{m} A a b^{2} d m^{4} x^{2} e^{4} + 24 \, {\left(x e + d\right)}^{m} B a b^{2} d m^{3} x^{3} e^{4} + 8 \, {\left(x e + d\right)}^{m} A b^{3} d m^{3} x^{3} e^{4} + 11 \, {\left(x e + d\right)}^{m} B b^{3} d m^{2} x^{4} e^{4} - 9 \, {\left(x e + d\right)}^{m} B a b^{2} d^{2} m^{3} x^{2} e^{3} - 3 \, {\left(x e + d\right)}^{m} A b^{3} d^{2} m^{3} x^{2} e^{3} - 12 \, {\left(x e + d\right)}^{m} B b^{3} d^{2} m^{2} x^{3} e^{3} + 12 \, {\left(x e + d\right)}^{m} B b^{3} d^{3} m^{2} x^{2} e^{2} + {\left(x e + d\right)}^{m} B a^{3} m^{4} x^{2} e^{5} + 3 \, {\left(x e + d\right)}^{m} A a^{2} b m^{4} x^{2} e^{5} + 36 \, {\left(x e + d\right)}^{m} B a^{2} b m^{3} x^{3} e^{5} + 36 \, {\left(x e + d\right)}^{m} A a b^{2} m^{3} x^{3} e^{5} + 123 \, {\left(x e + d\right)}^{m} B a b^{2} m^{2} x^{4} e^{5} + 41 \, {\left(x e + d\right)}^{m} A b^{3} m^{2} x^{4} e^{5} + 50 \, {\left(x e + d\right)}^{m} B b^{3} m x^{5} e^{5} + {\left(x e + d\right)}^{m} B a^{3} d m^{4} x e^{4} + 3 \, {\left(x e + d\right)}^{m} A a^{2} b d m^{4} x e^{4} + 30 \, {\left(x e + d\right)}^{m} B a^{2} b d m^{3} x^{2} e^{4} + 30 \, {\left(x e + d\right)}^{m} A a b^{2} d m^{3} x^{2} e^{4} + 51 \, {\left(x e + d\right)}^{m} B a b^{2} d m^{2} x^{3} e^{4} + 17 \, {\left(x e + d\right)}^{m} A b^{3} d m^{2} x^{3} e^{4} + 6 \, {\left(x e + d\right)}^{m} B b^{3} d m x^{4} e^{4} - 6 \, {\left(x e + d\right)}^{m} B a^{2} b d^{2} m^{3} x e^{3} - 6 \, {\left(x e + d\right)}^{m} A a b^{2} d^{2} m^{3} x e^{3} - 54 \, {\left(x e + d\right)}^{m} B a b^{2} d^{2} m^{2} x^{2} e^{3} - 18 \, {\left(x e + d\right)}^{m} A b^{3} d^{2} m^{2} x^{2} e^{3} - 8 \, {\left(x e + d\right)}^{m} B b^{3} d^{2} m x^{3} e^{3} + 18 \, {\left(x e + d\right)}^{m} B a b^{2} d^{3} m^{2} x e^{2} + 6 \, {\left(x e + d\right)}^{m} A b^{3} d^{3} m^{2} x e^{2} + 12 \, {\left(x e + d\right)}^{m} B b^{3} d^{3} m x^{2} e^{2} - 24 \, {\left(x e + d\right)}^{m} B b^{3} d^{4} m x e + {\left(x e + d\right)}^{m} A a^{3} m^{4} x e^{5} + 13 \, {\left(x e + d\right)}^{m} B a^{3} m^{3} x^{2} e^{5} + 39 \, {\left(x e + d\right)}^{m} A a^{2} b m^{3} x^{2} e^{5} + 147 \, {\left(x e + d\right)}^{m} B a^{2} b m^{2} x^{3} e^{5} + 147 \, {\left(x e + d\right)}^{m} A a b^{2} m^{2} x^{3} e^{5} + 183 \, {\left(x e + d\right)}^{m} B a b^{2} m x^{4} e^{5} + 61 \, {\left(x e + d\right)}^{m} A b^{3} m x^{4} e^{5} + 24 \, {\left(x e + d\right)}^{m} B b^{3} x^{5} e^{5} + {\left(x e + d\right)}^{m} A a^{3} d m^{4} e^{4} + 12 \, {\left(x e + d\right)}^{m} B a^{3} d m^{3} x e^{4} + 36 \, {\left(x e + d\right)}^{m} A a^{2} b d m^{3} x e^{4} + 87 \, {\left(x e + d\right)}^{m} B a^{2} b d m^{2} x^{2} e^{4} + 87 \, {\left(x e + d\right)}^{m} A a b^{2} d m^{2} x^{2} e^{4} + 30 \, {\left(x e + d\right)}^{m} B a b^{2} d m x^{3} e^{4} + 10 \, {\left(x e + d\right)}^{m} A b^{3} d m x^{3} e^{4} - {\left(x e + d\right)}^{m} B a^{3} d^{2} m^{3} e^{3} - 3 \, {\left(x e + d\right)}^{m} A a^{2} b d^{2} m^{3} e^{3} - 54 \, {\left(x e + d\right)}^{m} B a^{2} b d^{2} m^{2} x e^{3} - 54 \, {\left(x e + d\right)}^{m} A a b^{2} d^{2} m^{2} x e^{3} - 45 \, {\left(x e + d\right)}^{m} B a b^{2} d^{2} m x^{2} e^{3} - 15 \, {\left(x e + d\right)}^{m} A b^{3} d^{2} m x^{2} e^{3} + 6 \, {\left(x e + d\right)}^{m} B a^{2} b d^{3} m^{2} e^{2} + 6 \, {\left(x e + d\right)}^{m} A a b^{2} d^{3} m^{2} e^{2} + 90 \, {\left(x e + d\right)}^{m} B a b^{2} d^{3} m x e^{2} + 30 \, {\left(x e + d\right)}^{m} A b^{3} d^{3} m x e^{2} - 18 \, {\left(x e + d\right)}^{m} B a b^{2} d^{4} m e - 6 \, {\left(x e + d\right)}^{m} A b^{3} d^{4} m e + 24 \, {\left(x e + d\right)}^{m} B b^{3} d^{5} + 14 \, {\left(x e + d\right)}^{m} A a^{3} m^{3} x e^{5} + 59 \, {\left(x e + d\right)}^{m} B a^{3} m^{2} x^{2} e^{5} + 177 \, {\left(x e + d\right)}^{m} A a^{2} b m^{2} x^{2} e^{5} + 234 \, {\left(x e + d\right)}^{m} B a^{2} b m x^{3} e^{5} + 234 \, {\left(x e + d\right)}^{m} A a b^{2} m x^{3} e^{5} + 90 \, {\left(x e + d\right)}^{m} B a b^{2} x^{4} e^{5} + 30 \, {\left(x e + d\right)}^{m} A b^{3} x^{4} e^{5} + 14 \, {\left(x e + d\right)}^{m} A a^{3} d m^{3} e^{4} + 47 \, {\left(x e + d\right)}^{m} B a^{3} d m^{2} x e^{4} + 141 \, {\left(x e + d\right)}^{m} A a^{2} b d m^{2} x e^{4} + 60 \, {\left(x e + d\right)}^{m} B a^{2} b d m x^{2} e^{4} + 60 \, {\left(x e + d\right)}^{m} A a b^{2} d m x^{2} e^{4} - 12 \, {\left(x e + d\right)}^{m} B a^{3} d^{2} m^{2} e^{3} - 36 \, {\left(x e + d\right)}^{m} A a^{2} b d^{2} m^{2} e^{3} - 120 \, {\left(x e + d\right)}^{m} B a^{2} b d^{2} m x e^{3} - 120 \, {\left(x e + d\right)}^{m} A a b^{2} d^{2} m x e^{3} + 54 \, {\left(x e + d\right)}^{m} B a^{2} b d^{3} m e^{2} + 54 \, {\left(x e + d\right)}^{m} A a b^{2} d^{3} m e^{2} - 90 \, {\left(x e + d\right)}^{m} B a b^{2} d^{4} e - 30 \, {\left(x e + d\right)}^{m} A b^{3} d^{4} e + 71 \, {\left(x e + d\right)}^{m} A a^{3} m^{2} x e^{5} + 107 \, {\left(x e + d\right)}^{m} B a^{3} m x^{2} e^{5} + 321 \, {\left(x e + d\right)}^{m} A a^{2} b m x^{2} e^{5} + 120 \, {\left(x e + d\right)}^{m} B a^{2} b x^{3} e^{5} + 120 \, {\left(x e + d\right)}^{m} A a b^{2} x^{3} e^{5} + 71 \, {\left(x e + d\right)}^{m} A a^{3} d m^{2} e^{4} + 60 \, {\left(x e + d\right)}^{m} B a^{3} d m x e^{4} + 180 \, {\left(x e + d\right)}^{m} A a^{2} b d m x e^{4} - 47 \, {\left(x e + d\right)}^{m} B a^{3} d^{2} m e^{3} - 141 \, {\left(x e + d\right)}^{m} A a^{2} b d^{2} m e^{3} + 120 \, {\left(x e + d\right)}^{m} B a^{2} b d^{3} e^{2} + 120 \, {\left(x e + d\right)}^{m} A a b^{2} d^{3} e^{2} + 154 \, {\left(x e + d\right)}^{m} A a^{3} m x e^{5} + 60 \, {\left(x e + d\right)}^{m} B a^{3} x^{2} e^{5} + 180 \, {\left(x e + d\right)}^{m} A a^{2} b x^{2} e^{5} + 154 \, {\left(x e + d\right)}^{m} A a^{3} d m e^{4} - 60 \, {\left(x e + d\right)}^{m} B a^{3} d^{2} e^{3} - 180 \, {\left(x e + d\right)}^{m} A a^{2} b d^{2} e^{3} + 120 \, {\left(x e + d\right)}^{m} A a^{3} x e^{5} + 120 \, {\left(x e + d\right)}^{m} A a^{3} d e^{4}}{m^{5} e^{5} + 15 \, m^{4} e^{5} + 85 \, m^{3} e^{5} + 225 \, m^{2} e^{5} + 274 \, m e^{5} + 120 \, e^{5}}"," ",0,"((x*e + d)^m*B*b^3*m^4*x^5*e^5 + (x*e + d)^m*B*b^3*d*m^4*x^4*e^4 + 3*(x*e + d)^m*B*a*b^2*m^4*x^4*e^5 + (x*e + d)^m*A*b^3*m^4*x^4*e^5 + 10*(x*e + d)^m*B*b^3*m^3*x^5*e^5 + 3*(x*e + d)^m*B*a*b^2*d*m^4*x^3*e^4 + (x*e + d)^m*A*b^3*d*m^4*x^3*e^4 + 6*(x*e + d)^m*B*b^3*d*m^3*x^4*e^4 - 4*(x*e + d)^m*B*b^3*d^2*m^3*x^3*e^3 + 3*(x*e + d)^m*B*a^2*b*m^4*x^3*e^5 + 3*(x*e + d)^m*A*a*b^2*m^4*x^3*e^5 + 33*(x*e + d)^m*B*a*b^2*m^3*x^4*e^5 + 11*(x*e + d)^m*A*b^3*m^3*x^4*e^5 + 35*(x*e + d)^m*B*b^3*m^2*x^5*e^5 + 3*(x*e + d)^m*B*a^2*b*d*m^4*x^2*e^4 + 3*(x*e + d)^m*A*a*b^2*d*m^4*x^2*e^4 + 24*(x*e + d)^m*B*a*b^2*d*m^3*x^3*e^4 + 8*(x*e + d)^m*A*b^3*d*m^3*x^3*e^4 + 11*(x*e + d)^m*B*b^3*d*m^2*x^4*e^4 - 9*(x*e + d)^m*B*a*b^2*d^2*m^3*x^2*e^3 - 3*(x*e + d)^m*A*b^3*d^2*m^3*x^2*e^3 - 12*(x*e + d)^m*B*b^3*d^2*m^2*x^3*e^3 + 12*(x*e + d)^m*B*b^3*d^3*m^2*x^2*e^2 + (x*e + d)^m*B*a^3*m^4*x^2*e^5 + 3*(x*e + d)^m*A*a^2*b*m^4*x^2*e^5 + 36*(x*e + d)^m*B*a^2*b*m^3*x^3*e^5 + 36*(x*e + d)^m*A*a*b^2*m^3*x^3*e^5 + 123*(x*e + d)^m*B*a*b^2*m^2*x^4*e^5 + 41*(x*e + d)^m*A*b^3*m^2*x^4*e^5 + 50*(x*e + d)^m*B*b^3*m*x^5*e^5 + (x*e + d)^m*B*a^3*d*m^4*x*e^4 + 3*(x*e + d)^m*A*a^2*b*d*m^4*x*e^4 + 30*(x*e + d)^m*B*a^2*b*d*m^3*x^2*e^4 + 30*(x*e + d)^m*A*a*b^2*d*m^3*x^2*e^4 + 51*(x*e + d)^m*B*a*b^2*d*m^2*x^3*e^4 + 17*(x*e + d)^m*A*b^3*d*m^2*x^3*e^4 + 6*(x*e + d)^m*B*b^3*d*m*x^4*e^4 - 6*(x*e + d)^m*B*a^2*b*d^2*m^3*x*e^3 - 6*(x*e + d)^m*A*a*b^2*d^2*m^3*x*e^3 - 54*(x*e + d)^m*B*a*b^2*d^2*m^2*x^2*e^3 - 18*(x*e + d)^m*A*b^3*d^2*m^2*x^2*e^3 - 8*(x*e + d)^m*B*b^3*d^2*m*x^3*e^3 + 18*(x*e + d)^m*B*a*b^2*d^3*m^2*x*e^2 + 6*(x*e + d)^m*A*b^3*d^3*m^2*x*e^2 + 12*(x*e + d)^m*B*b^3*d^3*m*x^2*e^2 - 24*(x*e + d)^m*B*b^3*d^4*m*x*e + (x*e + d)^m*A*a^3*m^4*x*e^5 + 13*(x*e + d)^m*B*a^3*m^3*x^2*e^5 + 39*(x*e + d)^m*A*a^2*b*m^3*x^2*e^5 + 147*(x*e + d)^m*B*a^2*b*m^2*x^3*e^5 + 147*(x*e + d)^m*A*a*b^2*m^2*x^3*e^5 + 183*(x*e + d)^m*B*a*b^2*m*x^4*e^5 + 61*(x*e + d)^m*A*b^3*m*x^4*e^5 + 24*(x*e + d)^m*B*b^3*x^5*e^5 + (x*e + d)^m*A*a^3*d*m^4*e^4 + 12*(x*e + d)^m*B*a^3*d*m^3*x*e^4 + 36*(x*e + d)^m*A*a^2*b*d*m^3*x*e^4 + 87*(x*e + d)^m*B*a^2*b*d*m^2*x^2*e^4 + 87*(x*e + d)^m*A*a*b^2*d*m^2*x^2*e^4 + 30*(x*e + d)^m*B*a*b^2*d*m*x^3*e^4 + 10*(x*e + d)^m*A*b^3*d*m*x^3*e^4 - (x*e + d)^m*B*a^3*d^2*m^3*e^3 - 3*(x*e + d)^m*A*a^2*b*d^2*m^3*e^3 - 54*(x*e + d)^m*B*a^2*b*d^2*m^2*x*e^3 - 54*(x*e + d)^m*A*a*b^2*d^2*m^2*x*e^3 - 45*(x*e + d)^m*B*a*b^2*d^2*m*x^2*e^3 - 15*(x*e + d)^m*A*b^3*d^2*m*x^2*e^3 + 6*(x*e + d)^m*B*a^2*b*d^3*m^2*e^2 + 6*(x*e + d)^m*A*a*b^2*d^3*m^2*e^2 + 90*(x*e + d)^m*B*a*b^2*d^3*m*x*e^2 + 30*(x*e + d)^m*A*b^3*d^3*m*x*e^2 - 18*(x*e + d)^m*B*a*b^2*d^4*m*e - 6*(x*e + d)^m*A*b^3*d^4*m*e + 24*(x*e + d)^m*B*b^3*d^5 + 14*(x*e + d)^m*A*a^3*m^3*x*e^5 + 59*(x*e + d)^m*B*a^3*m^2*x^2*e^5 + 177*(x*e + d)^m*A*a^2*b*m^2*x^2*e^5 + 234*(x*e + d)^m*B*a^2*b*m*x^3*e^5 + 234*(x*e + d)^m*A*a*b^2*m*x^3*e^5 + 90*(x*e + d)^m*B*a*b^2*x^4*e^5 + 30*(x*e + d)^m*A*b^3*x^4*e^5 + 14*(x*e + d)^m*A*a^3*d*m^3*e^4 + 47*(x*e + d)^m*B*a^3*d*m^2*x*e^4 + 141*(x*e + d)^m*A*a^2*b*d*m^2*x*e^4 + 60*(x*e + d)^m*B*a^2*b*d*m*x^2*e^4 + 60*(x*e + d)^m*A*a*b^2*d*m*x^2*e^4 - 12*(x*e + d)^m*B*a^3*d^2*m^2*e^3 - 36*(x*e + d)^m*A*a^2*b*d^2*m^2*e^3 - 120*(x*e + d)^m*B*a^2*b*d^2*m*x*e^3 - 120*(x*e + d)^m*A*a*b^2*d^2*m*x*e^3 + 54*(x*e + d)^m*B*a^2*b*d^3*m*e^2 + 54*(x*e + d)^m*A*a*b^2*d^3*m*e^2 - 90*(x*e + d)^m*B*a*b^2*d^4*e - 30*(x*e + d)^m*A*b^3*d^4*e + 71*(x*e + d)^m*A*a^3*m^2*x*e^5 + 107*(x*e + d)^m*B*a^3*m*x^2*e^5 + 321*(x*e + d)^m*A*a^2*b*m*x^2*e^5 + 120*(x*e + d)^m*B*a^2*b*x^3*e^5 + 120*(x*e + d)^m*A*a*b^2*x^3*e^5 + 71*(x*e + d)^m*A*a^3*d*m^2*e^4 + 60*(x*e + d)^m*B*a^3*d*m*x*e^4 + 180*(x*e + d)^m*A*a^2*b*d*m*x*e^4 - 47*(x*e + d)^m*B*a^3*d^2*m*e^3 - 141*(x*e + d)^m*A*a^2*b*d^2*m*e^3 + 120*(x*e + d)^m*B*a^2*b*d^3*e^2 + 120*(x*e + d)^m*A*a*b^2*d^3*e^2 + 154*(x*e + d)^m*A*a^3*m*x*e^5 + 60*(x*e + d)^m*B*a^3*x^2*e^5 + 180*(x*e + d)^m*A*a^2*b*x^2*e^5 + 154*(x*e + d)^m*A*a^3*d*m*e^4 - 60*(x*e + d)^m*B*a^3*d^2*e^3 - 180*(x*e + d)^m*A*a^2*b*d^2*e^3 + 120*(x*e + d)^m*A*a^3*x*e^5 + 120*(x*e + d)^m*A*a^3*d*e^4)/(m^5*e^5 + 15*m^4*e^5 + 85*m^3*e^5 + 225*m^2*e^5 + 274*m*e^5 + 120*e^5)","B",0
3182,1,1267,0,1.061990," ","integrate((b*x+a)^2*(B*x+A)*(e*x+d)^m,x, algorithm=""giac"")","\frac{{\left(x e + d\right)}^{m} B b^{2} m^{3} x^{4} e^{4} + {\left(x e + d\right)}^{m} B b^{2} d m^{3} x^{3} e^{3} + 2 \, {\left(x e + d\right)}^{m} B a b m^{3} x^{3} e^{4} + {\left(x e + d\right)}^{m} A b^{2} m^{3} x^{3} e^{4} + 6 \, {\left(x e + d\right)}^{m} B b^{2} m^{2} x^{4} e^{4} + 2 \, {\left(x e + d\right)}^{m} B a b d m^{3} x^{2} e^{3} + {\left(x e + d\right)}^{m} A b^{2} d m^{3} x^{2} e^{3} + 3 \, {\left(x e + d\right)}^{m} B b^{2} d m^{2} x^{3} e^{3} - 3 \, {\left(x e + d\right)}^{m} B b^{2} d^{2} m^{2} x^{2} e^{2} + {\left(x e + d\right)}^{m} B a^{2} m^{3} x^{2} e^{4} + 2 \, {\left(x e + d\right)}^{m} A a b m^{3} x^{2} e^{4} + 14 \, {\left(x e + d\right)}^{m} B a b m^{2} x^{3} e^{4} + 7 \, {\left(x e + d\right)}^{m} A b^{2} m^{2} x^{3} e^{4} + 11 \, {\left(x e + d\right)}^{m} B b^{2} m x^{4} e^{4} + {\left(x e + d\right)}^{m} B a^{2} d m^{3} x e^{3} + 2 \, {\left(x e + d\right)}^{m} A a b d m^{3} x e^{3} + 10 \, {\left(x e + d\right)}^{m} B a b d m^{2} x^{2} e^{3} + 5 \, {\left(x e + d\right)}^{m} A b^{2} d m^{2} x^{2} e^{3} + 2 \, {\left(x e + d\right)}^{m} B b^{2} d m x^{3} e^{3} - 4 \, {\left(x e + d\right)}^{m} B a b d^{2} m^{2} x e^{2} - 2 \, {\left(x e + d\right)}^{m} A b^{2} d^{2} m^{2} x e^{2} - 3 \, {\left(x e + d\right)}^{m} B b^{2} d^{2} m x^{2} e^{2} + 6 \, {\left(x e + d\right)}^{m} B b^{2} d^{3} m x e + {\left(x e + d\right)}^{m} A a^{2} m^{3} x e^{4} + 8 \, {\left(x e + d\right)}^{m} B a^{2} m^{2} x^{2} e^{4} + 16 \, {\left(x e + d\right)}^{m} A a b m^{2} x^{2} e^{4} + 28 \, {\left(x e + d\right)}^{m} B a b m x^{3} e^{4} + 14 \, {\left(x e + d\right)}^{m} A b^{2} m x^{3} e^{4} + 6 \, {\left(x e + d\right)}^{m} B b^{2} x^{4} e^{4} + {\left(x e + d\right)}^{m} A a^{2} d m^{3} e^{3} + 7 \, {\left(x e + d\right)}^{m} B a^{2} d m^{2} x e^{3} + 14 \, {\left(x e + d\right)}^{m} A a b d m^{2} x e^{3} + 8 \, {\left(x e + d\right)}^{m} B a b d m x^{2} e^{3} + 4 \, {\left(x e + d\right)}^{m} A b^{2} d m x^{2} e^{3} - {\left(x e + d\right)}^{m} B a^{2} d^{2} m^{2} e^{2} - 2 \, {\left(x e + d\right)}^{m} A a b d^{2} m^{2} e^{2} - 16 \, {\left(x e + d\right)}^{m} B a b d^{2} m x e^{2} - 8 \, {\left(x e + d\right)}^{m} A b^{2} d^{2} m x e^{2} + 4 \, {\left(x e + d\right)}^{m} B a b d^{3} m e + 2 \, {\left(x e + d\right)}^{m} A b^{2} d^{3} m e - 6 \, {\left(x e + d\right)}^{m} B b^{2} d^{4} + 9 \, {\left(x e + d\right)}^{m} A a^{2} m^{2} x e^{4} + 19 \, {\left(x e + d\right)}^{m} B a^{2} m x^{2} e^{4} + 38 \, {\left(x e + d\right)}^{m} A a b m x^{2} e^{4} + 16 \, {\left(x e + d\right)}^{m} B a b x^{3} e^{4} + 8 \, {\left(x e + d\right)}^{m} A b^{2} x^{3} e^{4} + 9 \, {\left(x e + d\right)}^{m} A a^{2} d m^{2} e^{3} + 12 \, {\left(x e + d\right)}^{m} B a^{2} d m x e^{3} + 24 \, {\left(x e + d\right)}^{m} A a b d m x e^{3} - 7 \, {\left(x e + d\right)}^{m} B a^{2} d^{2} m e^{2} - 14 \, {\left(x e + d\right)}^{m} A a b d^{2} m e^{2} + 16 \, {\left(x e + d\right)}^{m} B a b d^{3} e + 8 \, {\left(x e + d\right)}^{m} A b^{2} d^{3} e + 26 \, {\left(x e + d\right)}^{m} A a^{2} m x e^{4} + 12 \, {\left(x e + d\right)}^{m} B a^{2} x^{2} e^{4} + 24 \, {\left(x e + d\right)}^{m} A a b x^{2} e^{4} + 26 \, {\left(x e + d\right)}^{m} A a^{2} d m e^{3} - 12 \, {\left(x e + d\right)}^{m} B a^{2} d^{2} e^{2} - 24 \, {\left(x e + d\right)}^{m} A a b d^{2} e^{2} + 24 \, {\left(x e + d\right)}^{m} A a^{2} x e^{4} + 24 \, {\left(x e + d\right)}^{m} A a^{2} d e^{3}}{m^{4} e^{4} + 10 \, m^{3} e^{4} + 35 \, m^{2} e^{4} + 50 \, m e^{4} + 24 \, e^{4}}"," ",0,"((x*e + d)^m*B*b^2*m^3*x^4*e^4 + (x*e + d)^m*B*b^2*d*m^3*x^3*e^3 + 2*(x*e + d)^m*B*a*b*m^3*x^3*e^4 + (x*e + d)^m*A*b^2*m^3*x^3*e^4 + 6*(x*e + d)^m*B*b^2*m^2*x^4*e^4 + 2*(x*e + d)^m*B*a*b*d*m^3*x^2*e^3 + (x*e + d)^m*A*b^2*d*m^3*x^2*e^3 + 3*(x*e + d)^m*B*b^2*d*m^2*x^3*e^3 - 3*(x*e + d)^m*B*b^2*d^2*m^2*x^2*e^2 + (x*e + d)^m*B*a^2*m^3*x^2*e^4 + 2*(x*e + d)^m*A*a*b*m^3*x^2*e^4 + 14*(x*e + d)^m*B*a*b*m^2*x^3*e^4 + 7*(x*e + d)^m*A*b^2*m^2*x^3*e^4 + 11*(x*e + d)^m*B*b^2*m*x^4*e^4 + (x*e + d)^m*B*a^2*d*m^3*x*e^3 + 2*(x*e + d)^m*A*a*b*d*m^3*x*e^3 + 10*(x*e + d)^m*B*a*b*d*m^2*x^2*e^3 + 5*(x*e + d)^m*A*b^2*d*m^2*x^2*e^3 + 2*(x*e + d)^m*B*b^2*d*m*x^3*e^3 - 4*(x*e + d)^m*B*a*b*d^2*m^2*x*e^2 - 2*(x*e + d)^m*A*b^2*d^2*m^2*x*e^2 - 3*(x*e + d)^m*B*b^2*d^2*m*x^2*e^2 + 6*(x*e + d)^m*B*b^2*d^3*m*x*e + (x*e + d)^m*A*a^2*m^3*x*e^4 + 8*(x*e + d)^m*B*a^2*m^2*x^2*e^4 + 16*(x*e + d)^m*A*a*b*m^2*x^2*e^4 + 28*(x*e + d)^m*B*a*b*m*x^3*e^4 + 14*(x*e + d)^m*A*b^2*m*x^3*e^4 + 6*(x*e + d)^m*B*b^2*x^4*e^4 + (x*e + d)^m*A*a^2*d*m^3*e^3 + 7*(x*e + d)^m*B*a^2*d*m^2*x*e^3 + 14*(x*e + d)^m*A*a*b*d*m^2*x*e^3 + 8*(x*e + d)^m*B*a*b*d*m*x^2*e^3 + 4*(x*e + d)^m*A*b^2*d*m*x^2*e^3 - (x*e + d)^m*B*a^2*d^2*m^2*e^2 - 2*(x*e + d)^m*A*a*b*d^2*m^2*e^2 - 16*(x*e + d)^m*B*a*b*d^2*m*x*e^2 - 8*(x*e + d)^m*A*b^2*d^2*m*x*e^2 + 4*(x*e + d)^m*B*a*b*d^3*m*e + 2*(x*e + d)^m*A*b^2*d^3*m*e - 6*(x*e + d)^m*B*b^2*d^4 + 9*(x*e + d)^m*A*a^2*m^2*x*e^4 + 19*(x*e + d)^m*B*a^2*m*x^2*e^4 + 38*(x*e + d)^m*A*a*b*m*x^2*e^4 + 16*(x*e + d)^m*B*a*b*x^3*e^4 + 8*(x*e + d)^m*A*b^2*x^3*e^4 + 9*(x*e + d)^m*A*a^2*d*m^2*e^3 + 12*(x*e + d)^m*B*a^2*d*m*x*e^3 + 24*(x*e + d)^m*A*a*b*d*m*x*e^3 - 7*(x*e + d)^m*B*a^2*d^2*m*e^2 - 14*(x*e + d)^m*A*a*b*d^2*m*e^2 + 16*(x*e + d)^m*B*a*b*d^3*e + 8*(x*e + d)^m*A*b^2*d^3*e + 26*(x*e + d)^m*A*a^2*m*x*e^4 + 12*(x*e + d)^m*B*a^2*x^2*e^4 + 24*(x*e + d)^m*A*a*b*x^2*e^4 + 26*(x*e + d)^m*A*a^2*d*m*e^3 - 12*(x*e + d)^m*B*a^2*d^2*e^2 - 24*(x*e + d)^m*A*a*b*d^2*e^2 + 24*(x*e + d)^m*A*a^2*x*e^4 + 24*(x*e + d)^m*A*a^2*d*e^3)/(m^4*e^4 + 10*m^3*e^4 + 35*m^2*e^4 + 50*m*e^4 + 24*e^4)","B",0
3183,1,497,0,0.999113," ","integrate((b*x+a)*(B*x+A)*(e*x+d)^m,x, algorithm=""giac"")","\frac{{\left(x e + d\right)}^{m} B b m^{2} x^{3} e^{3} + {\left(x e + d\right)}^{m} B b d m^{2} x^{2} e^{2} + {\left(x e + d\right)}^{m} B a m^{2} x^{2} e^{3} + {\left(x e + d\right)}^{m} A b m^{2} x^{2} e^{3} + 3 \, {\left(x e + d\right)}^{m} B b m x^{3} e^{3} + {\left(x e + d\right)}^{m} B a d m^{2} x e^{2} + {\left(x e + d\right)}^{m} A b d m^{2} x e^{2} + {\left(x e + d\right)}^{m} B b d m x^{2} e^{2} - 2 \, {\left(x e + d\right)}^{m} B b d^{2} m x e + {\left(x e + d\right)}^{m} A a m^{2} x e^{3} + 4 \, {\left(x e + d\right)}^{m} B a m x^{2} e^{3} + 4 \, {\left(x e + d\right)}^{m} A b m x^{2} e^{3} + 2 \, {\left(x e + d\right)}^{m} B b x^{3} e^{3} + {\left(x e + d\right)}^{m} A a d m^{2} e^{2} + 3 \, {\left(x e + d\right)}^{m} B a d m x e^{2} + 3 \, {\left(x e + d\right)}^{m} A b d m x e^{2} - {\left(x e + d\right)}^{m} B a d^{2} m e - {\left(x e + d\right)}^{m} A b d^{2} m e + 2 \, {\left(x e + d\right)}^{m} B b d^{3} + 5 \, {\left(x e + d\right)}^{m} A a m x e^{3} + 3 \, {\left(x e + d\right)}^{m} B a x^{2} e^{3} + 3 \, {\left(x e + d\right)}^{m} A b x^{2} e^{3} + 5 \, {\left(x e + d\right)}^{m} A a d m e^{2} - 3 \, {\left(x e + d\right)}^{m} B a d^{2} e - 3 \, {\left(x e + d\right)}^{m} A b d^{2} e + 6 \, {\left(x e + d\right)}^{m} A a x e^{3} + 6 \, {\left(x e + d\right)}^{m} A a d e^{2}}{m^{3} e^{3} + 6 \, m^{2} e^{3} + 11 \, m e^{3} + 6 \, e^{3}}"," ",0,"((x*e + d)^m*B*b*m^2*x^3*e^3 + (x*e + d)^m*B*b*d*m^2*x^2*e^2 + (x*e + d)^m*B*a*m^2*x^2*e^3 + (x*e + d)^m*A*b*m^2*x^2*e^3 + 3*(x*e + d)^m*B*b*m*x^3*e^3 + (x*e + d)^m*B*a*d*m^2*x*e^2 + (x*e + d)^m*A*b*d*m^2*x*e^2 + (x*e + d)^m*B*b*d*m*x^2*e^2 - 2*(x*e + d)^m*B*b*d^2*m*x*e + (x*e + d)^m*A*a*m^2*x*e^3 + 4*(x*e + d)^m*B*a*m*x^2*e^3 + 4*(x*e + d)^m*A*b*m*x^2*e^3 + 2*(x*e + d)^m*B*b*x^3*e^3 + (x*e + d)^m*A*a*d*m^2*e^2 + 3*(x*e + d)^m*B*a*d*m*x*e^2 + 3*(x*e + d)^m*A*b*d*m*x*e^2 - (x*e + d)^m*B*a*d^2*m*e - (x*e + d)^m*A*b*d^2*m*e + 2*(x*e + d)^m*B*b*d^3 + 5*(x*e + d)^m*A*a*m*x*e^3 + 3*(x*e + d)^m*B*a*x^2*e^3 + 3*(x*e + d)^m*A*b*x^2*e^3 + 5*(x*e + d)^m*A*a*d*m*e^2 - 3*(x*e + d)^m*B*a*d^2*e - 3*(x*e + d)^m*A*b*d^2*e + 6*(x*e + d)^m*A*a*x*e^3 + 6*(x*e + d)^m*A*a*d*e^2)/(m^3*e^3 + 6*m^2*e^3 + 11*m*e^3 + 6*e^3)","B",0
3184,1,136,0,1.027099," ","integrate((B*x+A)*(e*x+d)^m,x, algorithm=""giac"")","\frac{{\left(x e + d\right)}^{m} B m x^{2} e^{2} + {\left(x e + d\right)}^{m} B d m x e + {\left(x e + d\right)}^{m} A m x e^{2} + {\left(x e + d\right)}^{m} B x^{2} e^{2} + {\left(x e + d\right)}^{m} A d m e - {\left(x e + d\right)}^{m} B d^{2} + 2 \, {\left(x e + d\right)}^{m} A x e^{2} + 2 \, {\left(x e + d\right)}^{m} A d e}{m^{2} e^{2} + 3 \, m e^{2} + 2 \, e^{2}}"," ",0,"((x*e + d)^m*B*m*x^2*e^2 + (x*e + d)^m*B*d*m*x*e + (x*e + d)^m*A*m*x*e^2 + (x*e + d)^m*B*x^2*e^2 + (x*e + d)^m*A*d*m*e - (x*e + d)^m*B*d^2 + 2*(x*e + d)^m*A*x*e^2 + 2*(x*e + d)^m*A*d*e)/(m^2*e^2 + 3*m*e^2 + 2*e^2)","B",0
3185,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^m/(b*x+a),x, algorithm=""giac"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{m}}{b x + a}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^m/(b*x + a), x)","F",0
3186,0,0,0,0.000000," ","integrate((B*x+A)*(e*x+d)^m/(b*x+a)^2,x, algorithm=""giac"")","\int \frac{{\left(B x + A\right)} {\left(e x + d\right)}^{m}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x + A)*(e*x + d)^m/(b*x + a)^2, x)","F",0
3187,1,423,0,1.151531," ","integrate((1-2*x)*(2+3*x)^m*(3+5*x)^3,x, algorithm=""giac"")","-\frac{20250 \, m^{4} {\left(3 \, x + 2\right)}^{m} x^{5} + 39825 \, m^{4} {\left(3 \, x + 2\right)}^{m} x^{4} + 202500 \, m^{3} {\left(3 \, x + 2\right)}^{m} x^{5} + 21195 \, m^{4} {\left(3 \, x + 2\right)}^{m} x^{3} + 370575 \, m^{3} {\left(3 \, x + 2\right)}^{m} x^{4} + 708750 \, m^{2} {\left(3 \, x + 2\right)}^{m} x^{5} - 4131 \, m^{4} {\left(3 \, x + 2\right)}^{m} x^{2} + 148140 \, m^{3} {\left(3 \, x + 2\right)}^{m} x^{3} + 1227825 \, m^{2} {\left(3 \, x + 2\right)}^{m} x^{4} + 1012500 \, m {\left(3 \, x + 2\right)}^{m} x^{5} - 6561 \, m^{4} {\left(3 \, x + 2\right)}^{m} x - 96093 \, m^{3} {\left(3 \, x + 2\right)}^{m} x^{2} + 368955 \, m^{2} {\left(3 \, x + 2\right)}^{m} x^{3} + 1686825 \, m {\left(3 \, x + 2\right)}^{m} x^{4} + 486000 \, {\left(3 \, x + 2\right)}^{m} x^{5} - 1458 \, m^{4} {\left(3 \, x + 2\right)}^{m} - 86346 \, m^{3} {\left(3 \, x + 2\right)}^{m} x - 455229 \, m^{2} {\left(3 \, x + 2\right)}^{m} x^{2} + 387810 \, m {\left(3 \, x + 2\right)}^{m} x^{3} + 789750 \, {\left(3 \, x + 2\right)}^{m} x^{4} - 17496 \, m^{3} {\left(3 \, x + 2\right)}^{m} - 343215 \, m^{2} {\left(3 \, x + 2\right)}^{m} x - 756927 \, m {\left(3 \, x + 2\right)}^{m} x^{2} + 145800 \, {\left(3 \, x + 2\right)}^{m} x^{3} - 66366 \, m^{2} {\left(3 \, x + 2\right)}^{m} - 526038 \, m {\left(3 \, x + 2\right)}^{m} x - 393660 \, {\left(3 \, x + 2\right)}^{m} x^{2} - 99240 \, m {\left(3 \, x + 2\right)}^{m} - 262440 \, {\left(3 \, x + 2\right)}^{m} x - 48800 \, {\left(3 \, x + 2\right)}^{m}}{81 \, {\left(m^{5} + 15 \, m^{4} + 85 \, m^{3} + 225 \, m^{2} + 274 \, m + 120\right)}}"," ",0,"-1/81*(20250*m^4*(3*x + 2)^m*x^5 + 39825*m^4*(3*x + 2)^m*x^4 + 202500*m^3*(3*x + 2)^m*x^5 + 21195*m^4*(3*x + 2)^m*x^3 + 370575*m^3*(3*x + 2)^m*x^4 + 708750*m^2*(3*x + 2)^m*x^5 - 4131*m^4*(3*x + 2)^m*x^2 + 148140*m^3*(3*x + 2)^m*x^3 + 1227825*m^2*(3*x + 2)^m*x^4 + 1012500*m*(3*x + 2)^m*x^5 - 6561*m^4*(3*x + 2)^m*x - 96093*m^3*(3*x + 2)^m*x^2 + 368955*m^2*(3*x + 2)^m*x^3 + 1686825*m*(3*x + 2)^m*x^4 + 486000*(3*x + 2)^m*x^5 - 1458*m^4*(3*x + 2)^m - 86346*m^3*(3*x + 2)^m*x - 455229*m^2*(3*x + 2)^m*x^2 + 387810*m*(3*x + 2)^m*x^3 + 789750*(3*x + 2)^m*x^4 - 17496*m^3*(3*x + 2)^m - 343215*m^2*(3*x + 2)^m*x - 756927*m*(3*x + 2)^m*x^2 + 145800*(3*x + 2)^m*x^3 - 66366*m^2*(3*x + 2)^m - 526038*m*(3*x + 2)^m*x - 393660*(3*x + 2)^m*x^2 - 99240*m*(3*x + 2)^m - 262440*(3*x + 2)^m*x - 48800*(3*x + 2)^m)/(m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)","B",0
3188,1,278,0,0.951576," ","integrate((1-2*x)*(2+3*x)^m*(3+5*x)^2,x, algorithm=""giac"")","-\frac{1350 \, m^{3} {\left(3 \, x + 2\right)}^{m} x^{4} + 1845 \, m^{3} {\left(3 \, x + 2\right)}^{m} x^{3} + 8100 \, m^{2} {\left(3 \, x + 2\right)}^{m} x^{4} + 306 \, m^{3} {\left(3 \, x + 2\right)}^{m} x^{2} + 9315 \, m^{2} {\left(3 \, x + 2\right)}^{m} x^{3} + 14850 \, m {\left(3 \, x + 2\right)}^{m} x^{4} - 459 \, m^{3} {\left(3 \, x + 2\right)}^{m} x - 1242 \, m^{2} {\left(3 \, x + 2\right)}^{m} x^{2} + 15030 \, m {\left(3 \, x + 2\right)}^{m} x^{3} + 8100 \, {\left(3 \, x + 2\right)}^{m} x^{4} - 162 \, m^{3} {\left(3 \, x + 2\right)}^{m} - 4539 \, m^{2} {\left(3 \, x + 2\right)}^{m} x - 5436 \, m {\left(3 \, x + 2\right)}^{m} x^{2} + 7560 \, {\left(3 \, x + 2\right)}^{m} x^{3} - 1314 \, m^{2} {\left(3 \, x + 2\right)}^{m} - 9870 \, m {\left(3 \, x + 2\right)}^{m} x - 3888 \, {\left(3 \, x + 2\right)}^{m} x^{2} - 2644 \, m {\left(3 \, x + 2\right)}^{m} - 5832 \, {\left(3 \, x + 2\right)}^{m} x - 1520 \, {\left(3 \, x + 2\right)}^{m}}{27 \, {\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)}}"," ",0,"-1/27*(1350*m^3*(3*x + 2)^m*x^4 + 1845*m^3*(3*x + 2)^m*x^3 + 8100*m^2*(3*x + 2)^m*x^4 + 306*m^3*(3*x + 2)^m*x^2 + 9315*m^2*(3*x + 2)^m*x^3 + 14850*m*(3*x + 2)^m*x^4 - 459*m^3*(3*x + 2)^m*x - 1242*m^2*(3*x + 2)^m*x^2 + 15030*m*(3*x + 2)^m*x^3 + 8100*(3*x + 2)^m*x^4 - 162*m^3*(3*x + 2)^m - 4539*m^2*(3*x + 2)^m*x - 5436*m*(3*x + 2)^m*x^2 + 7560*(3*x + 2)^m*x^3 - 1314*m^2*(3*x + 2)^m - 9870*m*(3*x + 2)^m*x - 3888*(3*x + 2)^m*x^2 - 2644*m*(3*x + 2)^m - 5832*(3*x + 2)^m*x - 1520*(3*x + 2)^m)/(m^4 + 10*m^3 + 35*m^2 + 50*m + 24)","B",0
3189,1,163,0,0.834502," ","integrate((1-2*x)*(2+3*x)^m*(3+5*x),x, algorithm=""giac"")","-\frac{270 \, m^{2} {\left(3 \, x + 2\right)}^{m} x^{3} + 207 \, m^{2} {\left(3 \, x + 2\right)}^{m} x^{2} + 810 \, m {\left(3 \, x + 2\right)}^{m} x^{3} - 63 \, m^{2} {\left(3 \, x + 2\right)}^{m} x + 288 \, m {\left(3 \, x + 2\right)}^{m} x^{2} + 540 \, {\left(3 \, x + 2\right)}^{m} x^{3} - 54 \, m^{2} {\left(3 \, x + 2\right)}^{m} - 591 \, m {\left(3 \, x + 2\right)}^{m} x + 81 \, {\left(3 \, x + 2\right)}^{m} x^{2} - 282 \, m {\left(3 \, x + 2\right)}^{m} - 486 \, {\left(3 \, x + 2\right)}^{m} x - 200 \, {\left(3 \, x + 2\right)}^{m}}{27 \, {\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)}}"," ",0,"-1/27*(270*m^2*(3*x + 2)^m*x^3 + 207*m^2*(3*x + 2)^m*x^2 + 810*m*(3*x + 2)^m*x^3 - 63*m^2*(3*x + 2)^m*x + 288*m*(3*x + 2)^m*x^2 + 540*(3*x + 2)^m*x^3 - 54*m^2*(3*x + 2)^m - 591*m*(3*x + 2)^m*x + 81*(3*x + 2)^m*x^2 - 282*m*(3*x + 2)^m - 486*(3*x + 2)^m*x - 200*(3*x + 2)^m)/(m^3 + 6*m^2 + 11*m + 6)","B",0
3190,0,0,0,0.000000," ","integrate((1-2*x)*(2+3*x)^m/(3+5*x),x, algorithm=""giac"")","\int -\frac{{\left(3 \, x + 2\right)}^{m} {\left(2 \, x - 1\right)}}{5 \, x + 3}\,{d x}"," ",0,"integrate(-(3*x + 2)^m*(2*x - 1)/(5*x + 3), x)","F",0
3191,0,0,0,0.000000," ","integrate((1-2*x)*(2+3*x)^m/(3+5*x)^2,x, algorithm=""giac"")","\int -\frac{{\left(3 \, x + 2\right)}^{m} {\left(2 \, x - 1\right)}}{{\left(5 \, x + 3\right)}^{2}}\,{d x}"," ",0,"integrate(-(3*x + 2)^m*(2*x - 1)/(5*x + 3)^2, x)","F",0
3192,0,0,0,0.000000," ","integrate((1-2*x)*(2+3*x)^m/(3+5*x)^3,x, algorithm=""giac"")","\int -\frac{{\left(3 \, x + 2\right)}^{m} {\left(2 \, x - 1\right)}}{{\left(5 \, x + 3\right)}^{3}}\,{d x}"," ",0,"integrate(-(3*x + 2)^m*(2*x - 1)/(5*x + 3)^3, x)","F",0
3193,0,0,0,0.000000," ","integrate((2+3*x)^m*(3+5*x)^3/(1-2*x),x, algorithm=""giac"")","\int -\frac{{\left(3 \, x + 2\right)}^{m} {\left(5 \, x + 3\right)}^{3}}{2 \, x - 1}\,{d x}"," ",0,"integrate(-(3*x + 2)^m*(5*x + 3)^3/(2*x - 1), x)","F",0
3194,0,0,0,0.000000," ","integrate((2+3*x)^m*(3+5*x)^2/(1-2*x),x, algorithm=""giac"")","\int -\frac{{\left(3 \, x + 2\right)}^{m} {\left(5 \, x + 3\right)}^{2}}{2 \, x - 1}\,{d x}"," ",0,"integrate(-(3*x + 2)^m*(5*x + 3)^2/(2*x - 1), x)","F",0
3195,0,0,0,0.000000," ","integrate((2+3*x)^m*(3+5*x)/(1-2*x),x, algorithm=""giac"")","\int -\frac{{\left(3 \, x + 2\right)}^{m} {\left(5 \, x + 3\right)}}{2 \, x - 1}\,{d x}"," ",0,"integrate(-(3*x + 2)^m*(5*x + 3)/(2*x - 1), x)","F",0
3196,0,0,0,0.000000," ","integrate((2+3*x)^m/(1-2*x)/(3+5*x),x, algorithm=""giac"")","\int -\frac{{\left(3 \, x + 2\right)}^{m}}{{\left(5 \, x + 3\right)} {\left(2 \, x - 1\right)}}\,{d x}"," ",0,"integrate(-(3*x + 2)^m/((5*x + 3)*(2*x - 1)), x)","F",0
3197,0,0,0,0.000000," ","integrate((2+3*x)^m/(1-2*x)/(3+5*x)^2,x, algorithm=""giac"")","\int -\frac{{\left(3 \, x + 2\right)}^{m}}{{\left(5 \, x + 3\right)}^{2} {\left(2 \, x - 1\right)}}\,{d x}"," ",0,"integrate(-(3*x + 2)^m/((5*x + 3)^2*(2*x - 1)), x)","F",0
3198,0,0,0,0.000000," ","integrate((2+3*x)^m/(1-2*x)/(3+5*x)^3,x, algorithm=""giac"")","\int -\frac{{\left(3 \, x + 2\right)}^{m}}{{\left(5 \, x + 3\right)}^{3} {\left(2 \, x - 1\right)}}\,{d x}"," ",0,"integrate(-(3*x + 2)^m/((5*x + 3)^3*(2*x - 1)), x)","F",0
3199,0,0,0,0.000000," ","integrate((b*x+a)^m/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m/(f*x + e)^2, x)","F",0
3200,0,0,0,0.000000," ","integrate((b*x+a)^m/(d*x+c)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(d x + c\right)} {\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m/((d*x + c)*(f*x + e)^2), x)","F",0
3201,0,0,0,0.000000," ","integrate((b*x+a)^m/(d*x+c)^2/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(d x + c\right)}^{2} {\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*x + a)^m/((d*x + c)^2*(f*x + e)^2), x)","F",0
